[ { "q": "Let y(s) = -3*s. Let a(b) = 15*b + 6*b - 87*b - 79*b - 4*b. Calculate y(a(x)).", "a": "447*x" }, { "q": "Let q(z) be the second derivative of z**3 + 14106*z. Let o = 18 - 13. Let a(p) = 3*p - 5*p + o*p. Determine a(q(j)).", "a": "18*j" }, { "q": "Let o(l) = 17436*l + 2. Let z(a) = 14*a**2. Give o(z(b)).", "a": "244104*b**2 + 2" }, { "q": "Let k(w) = 2*w**2 - 4*w**2 + 3*w**2. Let z = -29 - -33. Let r(o) = -4 - 39*o**2 + 84*o**2 + z. Give r(k(s)).", "a": "45*s**4" }, { "q": "Let o(v) = -7*v. Let l(q) = -51*q**2 + 1043*q - 2085*q + 1042*q. What is l(o(z))?", "a": "-2499*z**2" }, { "q": "Let j(v) = 28 + 5*v**2 - 28. Let c(l) be the first derivative of -5/2*l**2 + 0*l - 42. Give j(c(p)).", "a": "125*p**2" }, { "q": "Let n(u) = 37*u**2 + u. Let l(y) be the first derivative of -29*y**2/2 + 132. Determine l(n(h)).", "a": "-1073*h**2 - 29*h" }, { "q": "Let j(f) be the third derivative of 0*f**4 + 0*f + 0 + 0*f**3 - 7*f**2 + 11/60*f**5. Let a(l) be the third derivative of -l**5/60 - 6*l**2. What is j(a(h))?", "a": "11*h**4" }, { "q": "Let i(h) = -3*h - 3. Let w(o) = -7*o**2 + 18*o + 18. Let n(q) = 6*i(q) + w(q). Let z(y) = 2*y**2 - 11*y. What is n(z(g))?", "a": "-28*g**4 + 308*g**3 - 847*g**2" }, { "q": "Let k(w) = 19*w. Let n(y) = 1033452*y**2. Calculate n(k(g)).", "a": "373076172*g**2" }, { "q": "Let p(s) = -2*s. Let u(c) = c**3 - 2*c + 1. Let o be u(1). Suppose d - 8 = t, 1 = -d - o*d - 2*t. Let f(l) = -d*l + 3*l + 3*l. Determine f(p(k)).", "a": "-2*k" }, { "q": "Let g(t) = -2*t + 79. Let d(s) be the third derivative of -1/12*s**4 + 46*s**2 + 0*s + 0 + 0*s**3. Determine g(d(p)).", "a": "4*p + 79" }, { "q": "Let c(q) = 3*q**2. Let u(m) = -6594101*m**2. Give c(u(h)).", "a": "130446503994603*h**4" }, { "q": "Let w(j) = 858 + 54*j - 855 + j + 3*j + 25*j. Let p(o) = o**2. Calculate p(w(m)).", "a": "6889*m**2 + 498*m + 9" }, { "q": "Let n(d) = -2384 + 2384 - 220*d**2. Let j(y) = 3*y. Give n(j(s)).", "a": "-1980*s**2" }, { "q": "Let t(i) = 612*i**2. Let y(n) = 169*n**2 + 1. Give y(t(f)).", "a": "63297936*f**4 + 1" }, { "q": "Let o(s) = 17*s - 73716. Let t(p) = -p. What is o(t(w))?", "a": "-17*w - 73716" }, { "q": "Let t(j) = 9*j**2. Let g(k) = -28*k + 8. What is g(t(o))?", "a": "-252*o**2 + 8" }, { "q": "Let l(x) = -8*x. Let f(o) be the second derivative of 0*o**3 + 0 + 2*o + 0*o**2 + 5/12*o**4. Give f(l(p)).", "a": "320*p**2" }, { "q": "Let x(w) = 28*w - 295*w**2 - 15*w - 13*w + 294*w**2. Let g(t) be the first derivative of -11*t**2/2 + 1. Give g(x(i)).", "a": "11*i**2" }, { "q": "Let s(g) = -770750*g. Let n(i) = -3*i. What is n(s(r))?", "a": "2312250*r" }, { "q": "Let j(p) = -p**2. Let i = 2/11277 + 97732/11277. Let t(z) be the first derivative of i*z**3 + 0*z - 7 + 0*z**2. Calculate j(t(d)).", "a": "-676*d**4" }, { "q": "Let o(l) = -2*l. Let b(h) = 45*h - 9. Let q(s) = -44*s + 7. Let g(z) = -3*b(z) - 4*q(z). Calculate o(g(w)).", "a": "-82*w + 2" }, { "q": "Let k(l) = -88*l**2 + l. Let f(w) = -8*w - 53. Give k(f(d)).", "a": "-5632*d**2 - 74632*d - 247245" }, { "q": "Suppose 2*t - 24514 = -z, -z + 32134 = 4*t - 16898. Let i(c) = c + 12259 - t. Let w(x) = 19*x. Calculate i(w(d)).", "a": "19*d" }, { "q": "Let x be (-2 + 0)/(11/(-363)). Let m(a) = -a - x*a - 52*a + 7*a. Let o(l) = l. Let c(d) = -m(d) - 96*o(d). Let z(y) = -y. What is c(z(s))?", "a": "-16*s" }, { "q": "Let k(p) = 70*p**2. Let t(h) = 597 + h - 597. What is k(t(q))?", "a": "70*q**2" }, { "q": "Let w(f) be the second derivative of f**4/6 + 14*f. Let h(i) = 24*i**2 + 5. Let a(q) = 74*q**2 + 16. Let v(x) = 5*a(x) - 16*h(x). Determine v(w(m)).", "a": "-56*m**4" }, { "q": "Let b be 20/16 + (-30)/(-40). Let s(i) = 5*i**2 - 6*i**b + 0*i**2 + 2*i**2. Let c(j) = -j - 11. Calculate s(c(h)).", "a": "h**2 + 22*h + 121" }, { "q": "Let r be 195/25 + 2/10. Let v(l) = 1. Let j(h) = h - 1. Let t(d) = 6. Let x(z) = -2*j(z) + t(z). Let y(a) = r*v(a) - x(a). Let s(o) = 28*o**2. Give y(s(c)).", "a": "56*c**2" }, { "q": "Let c(i) be the third derivative of i**4/24 - 16*i**2 + 294. Let n(d) = 8*d + 6*d + 3 - 4*d. Determine c(n(p)).", "a": "10*p + 3" }, { "q": "Let c(u) be the first derivative of -2*u**3/3 + 234. Let o(g) = -3*g**2 - 6*g**2 + 6*g**2 - 7*g**2. Determine c(o(v)).", "a": "-200*v**4" }, { "q": "Let v(d) = 543*d - 149*d + 304*d + 31*d. Let k(l) = -2*l. Calculate v(k(j)).", "a": "-1458*j" }, { "q": "Let p(r) = 2*r - r + 6*r + 4*r - 4*r. Let q(j) = 3*j. Calculate p(q(v)).", "a": "21*v" }, { "q": "Let r(k) be the second derivative of -k**4/6 + 7*k**2/2 - 765*k. Let t(a) = a. What is r(t(z))?", "a": "-2*z**2 + 7" }, { "q": "Let t(p) = -34*p. Let g(x) = 578543*x**2. What is g(t(j))?", "a": "668795708*j**2" }, { "q": "Let z(u) be the second derivative of u**4 + 1636*u. Let h(f) = -56*f**2. Determine h(z(w)).", "a": "-8064*w**4" }, { "q": "Let i(u) = u + 1. Let f(x) = -4*x + 110. Let a be f(26). Let p(l) = l + 3. Let t = 6 - 8. Let o(m) = a*i(m) + t*p(m). Let h(q) = -8*q**2. What is o(h(w))?", "a": "-32*w**2" }, { "q": "Suppose 0 = -3*t - 4*h + 6*h, -4*t + 3*h + 1 = 0. Let o(x) = x + 3. Let u(f) = -1. Let z(q) = t*o(q) - 6*u(q). Let i(s) = 26*s. What is z(i(r))?", "a": "-52*r" }, { "q": "Let t(k) be the first derivative of -547*k**3/3 - 185. Let u(i) = 5*i**2. Give t(u(h)).", "a": "-13675*h**4" }, { "q": "Let s(x) = 139*x**2 + 23*x - 23*x - 141*x**2. Let m(t) = -1877*t**2. What is m(s(o))?", "a": "-7508*o**4" }, { "q": "Let x(n) = -2*n**2 - 2 + 4*n + 3*n**2 + 9*n**2. Let p(d) = -19*d**2 - 10*d + 5. Let m(f) = -2*p(f) - 5*x(f). Let k(v) = -4*v**2. Calculate m(k(t)).", "a": "-192*t**4" }, { "q": "Let c(v) = 644*v**2 + 552*v. Let s(y) = -46*y**2 - 40*y. Let u(b) = -5*c(b) - 69*s(b). Let h(f) = 4*f**2. Determine h(u(z)).", "a": "8464*z**4" }, { "q": "Let w(p) = -12*p - 3. Let g(z) = 25*z + 5. Let q(b) = 6*g(b) + 10*w(b). Let k(h) = -3 - 45*h - 39*h + 3 + 80*h. Give q(k(o)).", "a": "-120*o" }, { "q": "Let j(x) = 2*x**2. Let n = 1435 + -1435. Let p(d) be the third derivative of n*d**3 + d**2 + 0 + 5/6*d**4 + 0*d. What is j(p(y))?", "a": "800*y**2" }, { "q": "Let q(x) = -24*x**2 - 4*x + 2. Let w(c) = c - 15*c**2 + 37 - 36 - 8*c**2 - 4*c. Let b(k) = -3*q(k) + 4*w(k). Let y(o) = 2*o**2. Determine b(y(z)).", "a": "-80*z**4 - 2" }, { "q": "Let l(b) = -48*b**2 - 48*b**2 - 46*b**2 + 137*b**2. Let c(d) = d**2 - 131. What is l(c(n))?", "a": "-5*n**4 + 1310*n**2 - 85805" }, { "q": "Let z(h) = 4*h**2 - 3. Let d(b) = b**2 - 1. Let r(s) = 3*d(s) - z(s). Let l(w) be the second derivative of 0 + 0*w**3 + 5/2*w**4 + 0*w**2 - 12*w. Give l(r(a)).", "a": "30*a**4" }, { "q": "Let v(k) = -136*k - 5 - 139*k + 278*k. Let r(t) = 7*t**2. Give v(r(b)).", "a": "21*b**2 - 5" }, { "q": "Let x(c) = 6*c - 51. Let t(i) = 25*i - 221. Let r(o) = -6*t(o) + 26*x(o). Let v(z) = 84*z. What is r(v(d))?", "a": "504*d" }, { "q": "Let a(w) be the third derivative of -3*w**5/20 - 5*w**2. Let i(h) = -2280825 + 2280825 - 5*h**2. Calculate i(a(u)).", "a": "-405*u**4" }, { "q": "Let s(k) = -677*k - 654*k + 1326*k. Let m(z) = -26*z. Calculate m(s(d)).", "a": "130*d" }, { "q": "Let m(z) be the first derivative of -z**3/3 + 2*z**2 + 672. Let a(t) = 6*t**2. What is a(m(v))?", "a": "6*v**4 - 48*v**3 + 96*v**2" }, { "q": "Let r(m) = 11*m**2. Let w(s) be the second derivative of 3*s**4/2 - s**3/6 + 2*s + 37. Give r(w(i)).", "a": "3564*i**4 - 396*i**3 + 11*i**2" }, { "q": "Let r(h) = h**2. Let v(o) be the third derivative of -781*o**5/60 + 169*o**2. Determine r(v(n)).", "a": "609961*n**4" }, { "q": "Let r(k) = 66395*k**2. Let t(h) = 28*h**2. What is t(r(u))?", "a": "123432288700*u**4" }, { "q": "Let d(m) = 2*m. Let b(f) = 303*f - 10 + 15 - 7 - 263*f. What is b(d(w))?", "a": "80*w - 2" }, { "q": "Let o(d) = 18837*d. Let m(l) = 111*l. Give m(o(n)).", "a": "2090907*n" }, { "q": "Let u(y) = -4*y. Let o(x) = 3005711*x. What is o(u(z))?", "a": "-12022844*z" }, { "q": "Let z(c) = -13*c - 7564. Let h(o) = 6*o. Determine h(z(t)).", "a": "-78*t - 45384" }, { "q": "Let c(b) be the third derivative of 0*b + 77*b**2 + 17/24*b**4 + 0*b**3 + 0. Let g(t) = -5*t. Give c(g(m)).", "a": "-85*m" }, { "q": "Let o(p) = 0*p + 6*p + 0*p + 6*p. Let t(u) = -116*u**2. Give o(t(x)).", "a": "-1392*x**2" }, { "q": "Suppose 12*d = 29*d - 34. Let p(r) = -388 - 2*r + 388 - d*r. Let x(a) = 4*a. What is x(p(f))?", "a": "-16*f" }, { "q": "Let o(f) = -15027*f. Let t(a) = 150*a**2 - 2*a. Calculate t(o(s)).", "a": "33871609350*s**2 + 30054*s" }, { "q": "Let q(j) = -j. Let w(v) = 51 + 9*v + 49 + 52 - 141. Determine w(q(c)).", "a": "-9*c + 11" }, { "q": "Let r(q) = 6*q**2 - 6*q**2 - 2*q**2. Let m = 29 - 35. Let c(n) = 23*n - 17. Let z(y) = 4*y - 3. Let k(p) = m*c(p) + 34*z(p). What is r(k(j))?", "a": "-8*j**2" }, { "q": "Let h(t) = -506*t. Let j(p) be the third derivative of p**4/8 + 2*p**2 + 70*p. What is j(h(q))?", "a": "-1518*q" }, { "q": "Let j(w) = -w**3 + 7*w**2 + 8*w + 2. Let y be j(8). Let x(a) = -14*a**2 - 20*a**2 + 41*a**y. Let b(h) = -3*h**2 - 3 + 3. Give b(x(k)).", "a": "-147*k**4" }, { "q": "Let r be (4 + 30/9)/(4/6). Let a(q) = 10*q + r*q - 34*q. Let l(i) = 2*i**2 + 0*i**2 - 3*i**2. Calculate l(a(x)).", "a": "-169*x**2" }, { "q": "Let u(j) = -14*j - 2. Let v(y) = -24*y - 3. Let n(d) = -4*u(d) + 3*v(d). Let l(x) = -32*x. Give l(n(w)).", "a": "512*w + 32" }, { "q": "Let n(d) be the second derivative of -d**4/12 + d. Let b(z) be the third derivative of -7*z**5/30 + 4*z**2 - 369*z + 2. Calculate n(b(w)).", "a": "-196*w**4" }, { "q": "Suppose 2*j + 3*r = 404, -3*r - 780 = -4*j - 2*r. Let q(t) = 2*t + 196 - j. Let d(w) = 76*w - 2. What is q(d(a))?", "a": "152*a - 4" }, { "q": "Let u(f) = 52*f - 29*f + 55*f + 82*f. Let m(d) = -22*d - 19*d + 43*d. Determine m(u(n)).", "a": "320*n" }, { "q": "Let q(s) = -18*s**2. Suppose i = -4*i - 110. Let t = -19 - i. Let y(j) = -t*j + 9*j - 8*j. Give q(y(m)).", "a": "-72*m**2" }, { "q": "Let y(m) = -2*m**2. Let r(t) = 180*t**2 + 1 - 2*t - 733*t**2 - 4*t + 6*t. Calculate r(y(k)).", "a": "-2212*k**4 + 1" }, { "q": "Let f(k) = -5*k. Let c(z) = -324*z**2 + 6*z - 1. Let v(m) = 320*m**2 - 7*m + 1. Let o(h) = 7*c(h) + 6*v(h). Calculate o(f(t)).", "a": "-8700*t**2 - 1" }, { "q": "Let s(r) = -9*r + 126 + 100*r**2 + 3*r + 125 - 248. Let q(x) = -x**2 + 2*x - 1. Let j(a) = -3*q(a) - s(a). Let f(n) = 2*n. Determine f(j(u)).", "a": "-194*u**2" }, { "q": "Let a(j) = 3*j. Let n(g) = 12007658*g. Calculate n(a(o)).", "a": "36022974*o" }, { "q": "Let t(o) be the third derivative of 1241*o**5/60 - 540*o**2. Let x(a) = a. What is t(x(m))?", "a": "1241*m**2" }, { "q": "Let a(v) be the second derivative of -v**7/1260 + v**4/4 + 2*v + 10. Let q(h) be the third derivative of a(h). Let x(d) = -129*d**2. Calculate x(q(f)).", "a": "-516*f**4" }, { "q": "Let l(g) = -5*g. Let c(f) = -3632216*f. Determine c(l(z)).", "a": "18161080*z" }, { "q": "Let v(u) = 4135*u + 4117*u + 4117*u + 2 - 12354*u. Let a(s) = 9*s. Determine v(a(k)).", "a": "135*k + 2" }, { "q": "Let a(g) be the second derivative of -101*g**3/6 - 472*g. Let u(f) = 2*f. Calculate u(a(p)).", "a": "-202*p" }, { "q": "Let y(p) = -42*p**2. Let v(c) = 3*c + 2. Let d(j) = 10*j + 5. Let s(r) = -21*r - 11. Let k(w) = 11*d(w) + 6*s(w). Let o(u) = 2*k(u) + 11*v(u). What is o(y(l))?", "a": "-42*l**2" }, { "q": "Let t(n) = -82*n**2 + 10*n - 34. Let h(j) = -4*j. Give h(t(a)).", "a": "328*a**2 - 40*a + 136" }, { "q": "Let o(y) = -320766*y**2. Let z(i) = 13*i**2. Determine o(z(p)).", "a": "-54209454*p**4" }, { "q": "Let a(y) = -22*y + 13*y - 14*y. Let n be 7*(-8)/(-252) - 16/(-9). Let k(j) = 171*j**n - 343*j**2 + 174*j**2. Give k(a(z)).", "a": "1058*z**2" }, { "q": "Let r(n) = -4588*n**2 + 930*n - 186. Let u(z) = -124*z**2 + 25*z - 5. Let w(v) = 5*r(v) - 186*u(v). Let a(q) = 2*q**2. Determine w(a(c)).", "a": "496*c**4" }, { "q": "Let g(x) = 19*x - 6*x - 22*x + 10*x. Let p(b) = -66*b**2. What is g(p(k))?", "a": "-66*k**2" }, { "q": "Let a(x) = -2*x + 409. Let h(f) = -f**2 - 13*f - 44. Calculate h(a(o)).", "a": "-4*o**2 + 1662*o - 172642" }, { "q": "Let z(c) = 167*c - 79*c - 82*c. Let j(o) = o - 1. Let q(u) = 3*u - 6. Let p(n) = -6*j(n) + q(n). Give z(p(d)).", "a": "-18*d" }, { "q": "Let z(b) = 17*b. Let q(a) = -7*a**2 - 17792*a. Give z(q(w)).", "a": "-119*w**2 - 302464*w" }, { "q": "Let j(p) = -145*p**2. Let q(g) = 55*g - 12. Let n(y) = 121*y - 26. Let d(f) = -6*n(f) + 13*q(f). Calculate j(d(w)).", "a": "-17545*w**2" }, { "q": "Let n(d) be the third derivative of 7*d**5/30 + 26*d**2. Let o(i) = 6*i + 4. Let z(s) = -3*s + 16*s + 25 - 7 - 9. Let u(x) = -9*o(x) + 4*z(x). What is n(u(k))?", "a": "56*k**2" }, { "q": "Let c be 3 - (-3 + 5 + -19). Let s(r) = -8*r - r - 7*r + c*r. Let g(f) = f. Determine g(s(d)).", "a": "4*d" }, { "q": "Let a(n) = -35780*n. Let l(f) = 273*f**2. Determine a(l(k)).", "a": "-9767940*k**2" }, { "q": "Let d(r) = 4*r. Let i(k) = 7*k. Let h be (1 + -2)/(6 - (-34)/(-6)). Let s(b) = h*i(b) + 5*d(b). Let l(f) = f**2 - f. Calculate s(l(z)).", "a": "-z**2 + z" }, { "q": "Let b(o) = 12*o - 26*o + 9*o + 10*o. Let a(j) = -8*j**2 - 22. Let m(x) = x**2 + 3. Let k(i) = -6*a(i) - 44*m(i). Calculate b(k(w)).", "a": "20*w**2" }, { "q": "Let l(j) = -61055*j. Let z(n) = -9*n**2. What is l(z(w))?", "a": "549495*w**2" }, { "q": "Let a(y) be the third derivative of -2*y**4/3 + 6*y**2 - 117*y. Let d(j) = -3*j**2 - 4. Let x(q) = -15*q**2 - 21. Let i(k) = 21*d(k) - 4*x(k). Give a(i(g)).", "a": "48*g**2" }, { "q": "Let z(m) be the second derivative of 379*m**4/6 - 1223*m. Let y(x) = -2*x. Give y(z(h)).", "a": "-1516*h**2" }, { "q": "Let f(q) = q + 14. Suppose -v + 2*y - 4 = 0, 0 = -2*v - v + 4*y - 14. Let g be f(v). Let p(a) = -37 + g*a + 37. Let d(k) = -2*k**2. Determine p(d(s)).", "a": "-16*s**2" }, { "q": "Let s(t) = 6*t. Let m(n) = -5*n**2 + 14*n. Let z be 3 - 0/6 - 10. Let x(h) = -4*h**2 + 12*h. Let y(g) = z*x(g) + 6*m(g). Give y(s(o)).", "a": "-72*o**2" }, { "q": "Let y(j) = 23*j**2 - 1. Let n(r) = -187*r + 17. Determine y(n(m)).", "a": "804287*m**2 - 146234*m + 6646" }, { "q": "Let z(o) = 4*o**2. Let j(c) be the second derivative of -11*c + 13*c - 11*c - 2*c**4. Give j(z(k)).", "a": "-384*k**4" }, { "q": "Let f(r) be the second derivative of -5*r**3/6 - 6*r + 24. Let g(p) be the second derivative of -3*p**3/2 - 2*p. Calculate f(g(k)).", "a": "45*k" }, { "q": "Let o(z) = -6*z + 20. Let m be o(6). Let k be ((-184)/5)/(3/(m - -1)). Let l(a) = 7*a**2 - 184 + k. Let x(n) = n**2. What is l(x(q))?", "a": "7*q**4" }, { "q": "Let q be ((-221)/(-52))/((-1)/(-4)). Let f(d) = -39*d + 13*d + 10*d + q*d. Let i(w) = 6*w - 8. Calculate i(f(b)).", "a": "6*b - 8" }, { "q": "Let o(b) be the second derivative of b**4/24 + 27*b**2/2 + 37*b + 1. Let d(i) be the first derivative of o(i). Let t(l) = 7*l - 7*l + 14*l**2. Give t(d(n)).", "a": "14*n**2" }, { "q": "Let x(y) = 9*y. Let h be (19/(-9) + 1)*-6*3. Suppose a - 3 = 0, -4*k + 6*k = -4*a + h. Let f(s) = -5*s**2 - k*s**2 + 8*s**2 + 0*s**2. Calculate f(x(p)).", "a": "-81*p**2" }, { "q": "Let g(b) = 550*b**2 - 11*b - 380*b**2 + 13*b - 2*b. Let j(o) = -8*o**2. Determine j(g(w)).", "a": "-231200*w**4" }, { "q": "Let z be -6*8/12 - -6. Let h(y) = 41*y**z - 69 - 73 + 142. Let o(p) = -2*p. Determine h(o(n)).", "a": "164*n**2" }, { "q": "Let u(g) = 12*g. Let r(j) = 1413162*j. Determine r(u(v)).", "a": "16957944*v" }, { "q": "Let v(s) = 4*s. Let k(p) be the second derivative of 21*p**3 + 127*p - 2. Give k(v(h)).", "a": "504*h" }, { "q": "Let a(x) = -1 + 1 - 235504*x**2 + 235506*x**2. Let m(o) be the first derivative of 16*o**2 + 1. Give a(m(f)).", "a": "2048*f**2" }, { "q": "Let w = 97 - 101. Let g(r) = -4*r - 7. Let p(d) = 2*d + 4. Let z(m) = w*g(m) - 7*p(m). Let y(x) = 0*x - x + 0*x. Give y(z(l)).", "a": "-2*l" }, { "q": "Let a(o) = -181*o**2 - 3*o. Let u(v) = 1161*v + 5. Determine u(a(y)).", "a": "-210141*y**2 - 3483*y + 5" }, { "q": "Let n(r) = 21*r**2 + 131*r. Let p(u) = 21*u. Give p(n(g)).", "a": "441*g**2 + 2751*g" }, { "q": "Let i(k) = 3*k + 27. Let q(x) = 8*x**2 - 84731*x + 84731*x. What is q(i(h))?", "a": "72*h**2 + 1296*h + 5832" }, { "q": "Let k(o) = -o**2 - 8*o - 3. Let x be k(-7). Let r(u) = -x*u - 6*u + 10*u + 2*u**2. Let g(h) = -106*h**2. Calculate g(r(b)).", "a": "-424*b**4" }, { "q": "Let b(a) = 740723*a. Let d(j) = -9*j**2. Calculate d(b(h)).", "a": "-4938035064561*h**2" }, { "q": "Let b(q) = q + 33 + 32 - 64. Let x(s) = -s**2. Let f(m) = 6*m**2. Let c(w) = f(w) + 4*x(w). Determine b(c(a)).", "a": "2*a**2 + 1" }, { "q": "Let m(r) = -466*r**2. Let b(z) = 5966*z. What is m(b(s))?", "a": "-16586410696*s**2" }, { "q": "Let z(l) = -3*l**2. Let t(b) be the third derivative of -b**5/6 + 10*b**3/3 + 17*b**2 + 3. Give z(t(h)).", "a": "-300*h**4 + 1200*h**2 - 1200" }, { "q": "Let n(a) = -2*a**2. Let r(j) be the second derivative of j**5/15 - 7*j**2 - 21*j - 2. Let o(p) be the first derivative of r(p). Determine o(n(k)).", "a": "16*k**4" }, { "q": "Let b(w) = w**2. Let m(j) = -3*j**2. Let o(z) = -8 - 1 + 2*z**2 + 9. Suppose 3*x - 26 = -s, 10 - 2 = 4*x - 4*s. Let u(l) = x*o(l) + 6*m(l). What is u(b(h))?", "a": "-4*h**4" }, { "q": "Let q(a) = 18 + 1202*a**2 - 291*a**2 - 18. Let n(y) = -2*y. Calculate n(q(m)).", "a": "-1822*m**2" }, { "q": "Let y(t) = 40*t + 40*t - 117*t + 39*t. Let w(z) = -463*z. What is y(w(r))?", "a": "-926*r" }, { "q": "Let t(j) = -44*j**2 + 2. Let r(p) be the second derivative of -19*p**3/6 + 717*p. Give r(t(l)).", "a": "836*l**2 - 38" }, { "q": "Let w(g) = 2*g**2 + 8*g - 8. Let m be w(1). Let f(n) = -341*n + 341*n + 12*n**m - 11*n**2. Let b(o) = 20*o**2 + 0*o + 0*o. Calculate f(b(k)).", "a": "400*k**4" }, { "q": "Let h(d) be the third derivative of d**5/40 + d**3/6 - 4*d**2. Let j(w) be the first derivative of h(w). Let a(k) = 3*k**2 + 95 - 88 - 7. Determine j(a(i)).", "a": "9*i**2" }, { "q": "Let o(u) = -173*u. Let d(f) = -11*f**2 - 2*f - 63. What is o(d(g))?", "a": "1903*g**2 + 346*g + 10899" }, { "q": "Let u(i) = -2*i. Let o(r) = -8268*r. Let n(s) = 89*s. Let y(k) = -371*n(k) - 4*o(k). Give y(u(m)).", "a": "-106*m" }, { "q": "Let m(r) = -2*r**2 + 14. Let o(q) be the first derivative of q**4/12 + 77*q - 14. Let y(i) be the first derivative of o(i). What is y(m(a))?", "a": "4*a**4 - 56*a**2 + 196" }, { "q": "Let v(k) be the second derivative of 0 - 1/6*k**3 - 3*k + 0*k**2. Let u(n) be the third derivative of 3*n**5/10 - 3*n**2. Determine u(v(b)).", "a": "18*b**2" }, { "q": "Let s(b) = b. Suppose 0 = -2*a + 5 - 1. Suppose -5*l = -4 + 24, -a*t + 102 = -l. Let z(v) = -49 - 5*v + 0*v + t. Determine s(z(x)).", "a": "-5*x" }, { "q": "Let a(l) = -2*l**2 - l - 182661. Let g(w) = 8*w. What is g(a(x))?", "a": "-16*x**2 - 8*x - 1461288" }, { "q": "Let d(b) = 4*b. Let q(x) = 21*x - 39. Let y(c) = 3*c + 1. Let w(p) = -q(p) + 5*y(p). Calculate w(d(h)).", "a": "-24*h + 44" }, { "q": "Let w be (-106)/(1 + -3) - 3. Let p = w + -47. Let r(z) = -p*z + 3*z + z - 2*z. Let b(t) = -24*t. Give b(r(o)).", "a": "24*o" }, { "q": "Let r(s) = -8*s. Let w(o) = o**2 + 17*o + 63. Let l be w(-13). Let t(f) = -l*f - 8*f + 27*f. Give r(t(q)).", "a": "-64*q" }, { "q": "Let c(k) = 4565834*k. Let p(q) = q**2. Calculate c(p(f)).", "a": "4565834*f**2" }, { "q": "Let a(j) = -3 - 2*j**2 + 6 + 9*j**2 - 3. Let n(g) = -157*g**2 - 2*g. Give n(a(t)).", "a": "-7693*t**4 - 14*t**2" }, { "q": "Let a(z) = 4*z. Suppose 0 = -5*i + q - 8, -3*i - 2*q + 1 = -2. Let r(s) = s. Let h(b) = i*a(b) + 5*r(b). Let p(g) = -92*g. Determine h(p(k)).", "a": "-92*k" }, { "q": "Let a(z) = 11*z + 58. Let i(y) be the second derivative of -y**3/6 + 495*y. What is i(a(s))?", "a": "-11*s - 58" }, { "q": "Let y(b) = -2*b**2. Let h(j) = 259*j - 1879. Give h(y(q)).", "a": "-518*q**2 - 1879" }, { "q": "Let z(r) be the third derivative of -r**4/24 - 6*r**2 - 1. Let p(o) = -396 - o**2 + 396. Determine p(z(g)).", "a": "-g**2" }, { "q": "Let k(v) = -13*v - 5. Let f(a) = 5*a + 2. Let y(r) = 5*f(r) + 2*k(r). Let h(m) = -446*m**2. Calculate y(h(p)).", "a": "446*p**2" }, { "q": "Suppose 5*l - 15 = 0, -5*p + l = -6*p + 7. Let j(b) be the second derivative of 7*b - 2/3*b**p + 0*b**2 + 0*b**3 + 0. Let k(g) = -g**2. Determine j(k(n)).", "a": "-8*n**4" }, { "q": "Let q(v) = 4*v. Let t(n) = 1093410*n**2. What is t(q(u))?", "a": "17494560*u**2" }, { "q": "Let y(g) = -2*g. Let j(n) = -391*n - 21. Let s(m) = -392*m - 26. Let d(z) = -5*j(z) + 4*s(z). Calculate y(d(f)).", "a": "-774*f - 2" }, { "q": "Let k(t) = -33 - 27*t + 57 - 43*t - 24. Let r(q) = -7*q. Calculate r(k(b)).", "a": "490*b" }, { "q": "Let f(r) = 2*r. Let w(d) = 26*d**2 + 14787*d + 12. Give w(f(i)).", "a": "104*i**2 + 29574*i + 12" }, { "q": "Let u(n) = -n + 1. Let k(m) = m - 2. Let b(x) = -k(x) - 2*u(x). Let z(g) be the third derivative of 0*g - g**2 + 13/24*g**4 + 0 + 0*g**3. Calculate b(z(f)).", "a": "13*f" }, { "q": "Let a(k) = 10*k**2. Suppose 12*j = 16*j - 736. Suppose -2*i - j = -d - 0*i, -d + 189 = -i. Let v(g) = -194 + d - 2*g. Give a(v(u)).", "a": "40*u**2" }, { "q": "Let t(h) = 211029 + 911*h**2 - 211029. Let c(s) = -2*s**2. What is c(t(u))?", "a": "-1659842*u**4" }, { "q": "Let t(d) = 3*d. Let s(l) = -39*l - 275 - 81 - 77 + 37*l. Determine t(s(n)).", "a": "-6*n - 1299" }, { "q": "Let s(d) be the second derivative of 17*d**3/6 + d. Let q(i) = -17*i. Let u(a) = 5*q(a) + 6*s(a). Let p(b) = 8599*b - 4303*b - 4298*b. Calculate u(p(v)).", "a": "-34*v" }, { "q": "Let g(p) = -29*p**2. Let z(k) = k**2 - 3*k + 2. Let t(l) = -11*l**2 - 12*l + 8. Let q(m) = t(m) - 4*z(m). What is q(g(o))?", "a": "-12615*o**4" }, { "q": "Let f(y) = -3374*y. Let c(r) = 73*r. What is f(c(o))?", "a": "-246302*o" }, { "q": "Let i = -1563 - -2524. Let f(m) = m**2 + i - 481 - 480. Let c(r) = 19*r**2. Determine f(c(q)).", "a": "361*q**4" }, { "q": "Let b(y) be the first derivative of 19*y**3/3 + 84. Let z(m) be the first derivative of 5*m**2/2 - 13. Determine b(z(v)).", "a": "475*v**2" }, { "q": "Let c(a) be the second derivative of -46*a + 0*a**2 + 0 - 7/6*a**3. Let m(t) = -4*t**2. What is m(c(o))?", "a": "-196*o**2" }, { "q": "Let x(f) = -2*f + f + 4*f - 4*f + 6*f. Let n(h) = -622*h**2. Give x(n(g)).", "a": "-3110*g**2" }, { "q": "Let k(f) = -16*f**2. Let y(x) be the second derivative of 5*x**3/2 + 1363*x. Give y(k(z)).", "a": "-240*z**2" }, { "q": "Let y(n) = 2*n - 4*n + n - n. Let f = 4 + -2. Let r(o) = -29*o**2 - 5*o**2 + 8*o**f. Calculate y(r(w)).", "a": "52*w**2" }, { "q": "Let p(d) = -201*d. Let h(r) = -9445*r**2. Give p(h(x)).", "a": "1898445*x**2" }, { "q": "Let o(j) = 10*j**2 - 9*j + 9. Let s(b) = b**2 - b + 1. Let t(r) = -2*o(r) + 18*s(r). Let k(v) = -3436*v**2. Give t(k(x)).", "a": "-23612192*x**4" }, { "q": "Let o(f) = 2*f. Let r(g) = -2*g + 14. Suppose -3*v = i - 4 - 11, 0 = -3*i - 5*v + 33. Let x be r(i). Let s(k) = 108 - 108 + 23*k**x. What is o(s(n))?", "a": "46*n**2" }, { "q": "Let t(p) = 176*p**2. Let q(c) be the third derivative of -c**5/5 + 1265*c**2. Determine t(q(n)).", "a": "25344*n**4" }, { "q": "Let w(p) = -254825*p. Let y(f) = -25*f**2. What is w(y(j))?", "a": "6370625*j**2" }, { "q": "Let t(h) = 4*h + 1585. Let g(u) = -919*u**2. Determine t(g(i)).", "a": "-3676*i**2 + 1585" }, { "q": "Let x(l) = -l**2. Let i(m) be the third derivative of 0 - 3*m + m**2 + 0*m**3 - 11/60*m**5 + 1/12*m**4. What is x(i(g))?", "a": "-121*g**4 + 44*g**3 - 4*g**2" }, { "q": "Let m(c) = 248*c**2 - 3*c + 1. Let j(z) = -1183*z**2. What is m(j(w))?", "a": "347073272*w**4 + 3549*w**2 + 1" }, { "q": "Let v(g) = g**2. Let i(p) = 7*p - 2. Let b(c) = c**2 - 105*c + 2. Let q(x) = b(x) + i(x). What is v(q(s))?", "a": "s**4 - 196*s**3 + 9604*s**2" }, { "q": "Let i(j) be the third derivative of -3*j**4/4 - 13*j**3/6 + 841*j**2. Let d(m) = m**2. Give d(i(l)).", "a": "324*l**2 + 468*l + 169" }, { "q": "Let v(w) = 4*w. Let s(h) = -9*h**2 + 9*h - 455. What is v(s(c))?", "a": "-36*c**2 + 36*c - 1820" }, { "q": "Let c(m) = 0*m + 0*m - 106*m**2 + 103*m**2. Let j(d) = -4*d**2 - 9*d + 6. Let v(s) = -23*s**2 - 53*s + 34. Let a(l) = 34*j(l) - 6*v(l). What is a(c(n))?", "a": "18*n**4 - 36*n**2" }, { "q": "Let z(l) = l**2 - 25. Let q(i) = 15078*i. Determine z(q(u)).", "a": "227346084*u**2 - 25" }, { "q": "Let t(i) = -10*i. Let s(n) = 2*n - 1. Let a = -106 - -107. Let l(r) = -4*r**2 - 20*r + 10. Let g(p) = a*l(p) + 10*s(p). What is t(g(z))?", "a": "40*z**2" }, { "q": "Let b(x) be the first derivative of -1/3*x**3 + 0*x**2 - 16 + 0*x. Let z(o) = 13*o + 15*o - 6*o - 5*o. Determine b(z(c)).", "a": "-289*c**2" }, { "q": "Let m(d) = -d - 2*d + 4*d. Let a(f) = -7*f**2 + 21*f. Let u(w) = w**2 + 3*w. Let i(g) = -a(g) + 7*u(g). Calculate i(m(y)).", "a": "14*y**2" }, { "q": "Let c(r) = 691*r**2. Let g(u) = -3791*u**2. Calculate g(c(d)).", "a": "-1810130471*d**4" }, { "q": "Let h(r) = -5*r + 5. Let d(f) be the second derivative of -9*f**3/2 - 547*f. What is h(d(b))?", "a": "135*b + 5" }, { "q": "Let l be -4 + -6 + (-7 - -17). Let o(i) be the first derivative of -12 + l*i + 1/3*i**3 + 0*i**2. Let f(r) = -4*r. What is f(o(m))?", "a": "-4*m**2" }, { "q": "Let j(f) = 1903*f + 1. Let t(y) = -2*y**2 - 68*y. Determine j(t(b)).", "a": "-3806*b**2 - 129404*b + 1" }, { "q": "Let l(m) = m**2. Let t(z) = 1280941*z. What is l(t(s))?", "a": "1640809845481*s**2" }, { "q": "Let q(a) = 11*a**2. Let w be (-12)/16*-4 - 1. Let o(y) = -y - 15*y**2 + 3*y**w + y. Let m(v) = 3*o(v) + 4*q(v). Let x(z) = -3*z**2. Determine x(m(p)).", "a": "-192*p**4" }, { "q": "Let r(n) be the third derivative of -847*n**5/60 - n**4/12 - 1098*n**2. Let c(j) = -j. Calculate c(r(x)).", "a": "847*x**2 + 2*x" }, { "q": "Let w(n) = n**2. Let p(c) = -776024*c**2 - 2. Give p(w(z)).", "a": "-776024*z**4 - 2" }, { "q": "Let s(v) be the second derivative of v**4/2 - 73*v**2/2 + v - 29. Let c(r) be the first derivative of s(r). Let m(n) = 3*n. Give m(c(z)).", "a": "36*z" }, { "q": "Let l(u) = 8*u. Let x(n) = 1537*n - 1536*n - 17*n**2 + 22*n**2. Give x(l(h)).", "a": "320*h**2 + 8*h" }, { "q": "Let o(c) = -2*c. Let u(z) = -3*z**2 - 2*z - 242. What is o(u(p))?", "a": "6*p**2 + 4*p + 484" }, { "q": "Let n(q) = q**2. Suppose -12*v + 686 = 554. Let x(s) be the second derivative of 0*s**2 + 0 - v*s + 1/6*s**4 + 0*s**3. Give x(n(o)).", "a": "2*o**4" }, { "q": "Let b be 135/18*((-8)/6 - -2). Let z(i) = 12*i + b*i - 19*i. Let o(x) = -150*x. What is z(o(k))?", "a": "300*k" }, { "q": "Let k(t) = -1953*t - 25. Let r(s) = -29*s**2. Calculate k(r(p)).", "a": "56637*p**2 - 25" }, { "q": "Let s(f) = -36*f. Let u(h) = -88*h**2 - 766. Calculate u(s(g)).", "a": "-114048*g**2 - 766" }, { "q": "Let u(d) be the third derivative of -7*d**5/60 - 4*d**4/3 - 46*d**2. Let h(j) = -4*j. What is u(h(l))?", "a": "-112*l**2 + 128*l" }, { "q": "Let p(m) = 112*m**2. Let j(s) be the second derivative of 3*s**3 + 164*s - 5. What is p(j(d))?", "a": "36288*d**2" }, { "q": "Let b(c) = -6*c**2 + 3. Let h(t) = -3*t**2 + 5*t. Let z(o) be the first derivative of o**3/3 - o**2 - 45. Let s(p) = -4*h(p) - 10*z(p). Give b(s(a)).", "a": "-24*a**4 + 3" }, { "q": "Let z(g) = 58*g**2 + 69*g**2 - 18*g**2. Let o(q) = 1446 - 480 - 966 - 2*q. Calculate z(o(f)).", "a": "436*f**2" }, { "q": "Let k(i) = -i**2. Let d(s) = -s**2 - s - 862602. Give d(k(g)).", "a": "-g**4 + g**2 - 862602" }, { "q": "Let r(x) = 43*x + 41. Let b(n) = -17*n - 21. Let t(m) = -5*b(m) - 2*r(m). Let q(p) = 5*p**2. Calculate t(q(c)).", "a": "-5*c**2 + 23" }, { "q": "Let x(a) be the second derivative of 115*a**4/12 + 594*a + 1. Let n(s) = -11*s. What is n(x(z))?", "a": "-1265*z**2" }, { "q": "Let m(h) be the third derivative of h**4/12 + 333*h**2 + h. Let g(u) = -356*u. Determine g(m(n)).", "a": "-712*n" }, { "q": "Let r(c) = -3*c**2. Let j(t) be the third derivative of -t**5/10 - 20*t**3/3 + 7*t**2 + 50*t. Calculate j(r(u)).", "a": "-54*u**4 - 40" }, { "q": "Let u(k) = -6*k + 45. Let i(h) = 8679*h. What is u(i(o))?", "a": "-52074*o + 45" }, { "q": "Let b(i) = -2*i**2. Suppose 21*y + 19*y - y = 0. Let h(j) be the second derivative of 0 + 1/2*j**3 - 14*j + y*j**2. What is b(h(l))?", "a": "-18*l**2" }, { "q": "Let s(q) = 2*q**2. Let n(u) be the third derivative of 0 - 17/12*u**5 + 5*u**2 + 0*u**3 + 2*u + 0*u**4. Give n(s(l)).", "a": "-340*l**4" }, { "q": "Let d(y) = -7*y**2. Let u(l) = -17129 - 5*l - 17128 + 34252. What is u(d(k))?", "a": "35*k**2 - 5" }, { "q": "Let a(t) be the first derivative of -7*t**2/2 + 3292. Let c(h) = 3*h - 4*h - 3*h. Determine c(a(z)).", "a": "28*z" }, { "q": "Let t(a) be the first derivative of 4*a**3/3 - 1350. Let h(o) = -93*o. What is t(h(j))?", "a": "34596*j**2" }, { "q": "Let p(f) = 3*f. Let d(z) = z + 186939. Give d(p(v)).", "a": "3*v + 186939" }, { "q": "Let q(z) = -9*z**2. Let v(u) be the third derivative of -53*u**5/60 - 450*u**2. What is v(q(n))?", "a": "-4293*n**4" }, { "q": "Let s(y) be the first derivative of -34*y**3/3 - y**2/2 + 1700. Let h(u) = -u - 4. Let z(w) = -w - 5. Let r(n) = -5*h(n) + 4*z(n). What is r(s(f))?", "a": "-34*f**2 - f" }, { "q": "Let h(c) = -41*c. Let t(j) = -32799*j - 1. Determine h(t(o)).", "a": "1344759*o + 41" }, { "q": "Let i(r) = -2*r**2. Let s(a) = a**3 + 13*a**2 - 15*a - 9. Let q be s(-14). Let p(o) = 127 - 41 - q*o - 45 - 42. Give i(p(u)).", "a": "-50*u**2 - 20*u - 2" }, { "q": "Let u(p) = 90 + 2*p**2 - 198 + 108 + 0*p**2. Let d(x) = -397*x**2. Give d(u(t)).", "a": "-1588*t**4" }, { "q": "Let o(u) = -6*u**2 + 2. Let i = 49 - 47. Let z(c) = -c + 12 - 12 + i*c. Determine o(z(m)).", "a": "-6*m**2 + 2" }, { "q": "Let p(n) be the first derivative of -2*n**3/3 - 1. Let t(u) be the third derivative of -48*u**2 + 0 + 1/8*u**4 + 0*u + 0*u**3. What is t(p(l))?", "a": "-6*l**2" }, { "q": "Let a(p) = -658*p**2 + 40*p. Let q(d) = 3*d**2 + 3. Determine a(q(z)).", "a": "-5922*z**4 - 11724*z**2 - 5802" }, { "q": "Let r(v) = -2655472*v**2. Let w(c) = 3*c. Calculate w(r(j)).", "a": "-7966416*j**2" }, { "q": "Let f(n) = 17*n**2 + 3*n. Let u(i) = -390*i**2 - 70*i. Suppose -8*d + 11*d - 84 = 0. Let c = 34 - d. Let b(v) = c*u(v) + 140*f(v). Let p(q) = q. Give b(p(o)).", "a": "40*o**2" }, { "q": "Let v(b) = -4*b**2. Let y(x) be the first derivative of 7/6*x**3 + 0*x**2 - 3*x - 8. Let t(c) be the first derivative of y(c). Give v(t(h)).", "a": "-196*h**2" }, { "q": "Let l(a) = a**2 - 17*a - 12. Let v(m) = -2*m + 153. Determine l(v(j)).", "a": "4*j**2 - 578*j + 20796" }, { "q": "Let o(s) = -4*s**2 + 3468*s - 15. Let f(w) = -2*w. Calculate f(o(g)).", "a": "8*g**2 - 6936*g + 30" }, { "q": "Let q(r) be the second derivative of -7*r**3 - 160*r. Let l(f) be the third derivative of -f**4/12 - 5*f**2. What is q(l(p))?", "a": "84*p" }, { "q": "Let n(l) = -3*l - 3262. Let s(i) = -i**2 - 2. Determine s(n(b)).", "a": "-9*b**2 - 19572*b - 10640646" }, { "q": "Let t(q) = 4*q**2. Let z = -30 - -30. Suppose z = -r + 44 + 42. Let x(k) = r + k**2 - 86. Determine t(x(o)).", "a": "4*o**4" }, { "q": "Let l(r) = r. Let c(y) be the first derivative of -11*y**2/2 - 12*y - 839. Determine l(c(k)).", "a": "-11*k - 12" }, { "q": "Let h(x) be the first derivative of 2*x**3 - 14050. Let v(f) be the first derivative of 0*f + 2 + 0*f**2 + 2/3*f**3. What is v(h(j))?", "a": "72*j**4" }, { "q": "Suppose 3*j - 8 = m - 0, 4*m - 36 = -5*j. Let u(s) = -j*s**2 - 7*s**2 + 15*s**2 - 5*s**2. Let d(h) = -2*h - h + 3*h + 12*h**2. Determine u(d(y)).", "a": "-144*y**4" }, { "q": "Let m(r) = 162*r**2 - 5*r - 1. Let f(k) = 2269*k. Determine m(f(y)).", "a": "834034482*y**2 - 11345*y - 1" }, { "q": "Let z(q) = -2*q**2 - q - 166400. Let x(v) = v. Calculate x(z(u)).", "a": "-2*u**2 - u - 166400" }, { "q": "Let a(w) = 38*w. Let r = -95 - -177. Let z(s) = s + 82 - r. Calculate z(a(t)).", "a": "38*t" }, { "q": "Let j(f) = -9*f. Let a(o) = 28289 + 10*o - 14143 - 14147. Calculate j(a(u)).", "a": "-90*u + 9" }, { "q": "Let h(w) be the first derivative of 2*w**3 + 28. Let j(s) = 66*s - 55. Let p(q) = q - 1. Let g(c) = -j(c) + 55*p(c). Calculate h(g(m)).", "a": "726*m**2" }, { "q": "Let x(a) be the first derivative of -23*a**4/4 - 53*a - 52. Let j(f) be the first derivative of x(f). Let g(d) = -2*d**2. Give j(g(c)).", "a": "-276*c**4" }, { "q": "Let v(l) = 24*l. Let w(x) be the third derivative of -50*x**2 + 1/24*x**4 + 0 + 0*x + 0*x**3. Determine v(w(i)).", "a": "24*i" }, { "q": "Let q(k) = 4*k. Let v(h) = 430*h**2 - 4948. Determine v(q(c)).", "a": "6880*c**2 - 4948" }, { "q": "Let u(n) = -2*n + 16875. Let p(g) = 154*g. Calculate u(p(q)).", "a": "-308*q + 16875" }, { "q": "Let w(d) = 2*d**2. Let x(q) be the first derivative of 5*q**4/8 + q**2/2 - 26*q - 10. Let k(a) be the second derivative of x(a). Determine k(w(m)).", "a": "30*m**2" }, { "q": "Let o(m) = 7049*m**2 + 2703*m - 901. Let s(t) = 47*t**2 + 18*t - 6. Let f(d) = 6*o(d) - 901*s(d). Let w(b) = 2*b. Give f(w(i)).", "a": "-212*i**2" }, { "q": "Let y(v) be the first derivative of 319*v**3/3 + v + 1410. Let u(l) = 3*l. Give y(u(p)).", "a": "2871*p**2 + 1" }, { "q": "Suppose 0 = 5*c - 4*c - 4*y - 10, -2*y + 4 = 4*c. Let x(z) = -2 - 275*z + c + 282*z. Let k(i) = -2*i - 4*i + 5*i - i. Determine x(k(n)).", "a": "-14*n" }, { "q": "Let h(m) = 27*m. Let j(l) = 7244*l**2. What is h(j(r))?", "a": "195588*r**2" }, { "q": "Let a(w) be the second derivative of -5*w**4/6 + 1271*w. Let g(x) = -9*x + 2. Determine g(a(b)).", "a": "90*b**2 + 2" }, { "q": "Let t(z) = 3*z**2 + 14*z. Let c(v) = 48*v**2 + 9*v. Let x(h) = -22*h**2 - 4*h. Let o(l) = 4*c(l) + 9*x(l). Give t(o(a)).", "a": "108*a**4 - 84*a**2" }, { "q": "Let b(g) = -50*g + 5. Let l(i) = 10*i + 15*i - 51 - 55 + 103. Let v(m) = -3*b(m) - 5*l(m). Let a(j) = 2*j. Calculate a(v(r)).", "a": "50*r" }, { "q": "Let b(v) = -5*v**2. Let s(h) = 20*h - 5367. Calculate s(b(a)).", "a": "-100*a**2 - 5367" }, { "q": "Let h(y) = 61973*y**2. Let c(j) = 59*j. What is c(h(s))?", "a": "3656407*s**2" }, { "q": "Let p(b) = -43*b + 10*b - 14*b. Let g(d) = -d**2 + 10938*d - 10938*d. Calculate p(g(i)).", "a": "47*i**2" }, { "q": "Let p(d) = 2. Let b(o) = -7. Let y(f) = -b(f) - 3*p(f). Let m(u) = -u**2 - 1. Let c(h) = 3*m(h) + 3*y(h). Let a(r) = -18*r. Give a(c(s)).", "a": "54*s**2" }, { "q": "Let a(s) = 95*s**2. Let j(h) = -6*h + 5. Let b(y) be the third derivative of y**4/24 - y**3/6 - y**2 - 6*y. Let v(c) = 10*b(c) + 2*j(c). Determine a(v(q)).", "a": "380*q**2" }, { "q": "Let z(v) = 980406*v**2. Let g(m) = 10*m. Give g(z(b)).", "a": "9804060*b**2" }, { "q": "Let q(b) = 21*b. Let v(s) be the third derivative of -3*s**4 + 4*s**2 - 33. Calculate q(v(y)).", "a": "-1512*y" }, { "q": "Let y(j) = 6*j. Let x(d) = -3067*d**2 + 112. Calculate x(y(u)).", "a": "-110412*u**2 + 112" }, { "q": "Let y(z) = -15*z**2. Let u(n) be the first derivative of n**3/3 + 3*n**2 + n - 6. Let r be u(-13). Let f(h) = 92*h + 3*h**2 - r*h - h**2. Give y(f(o)).", "a": "-60*o**4" }, { "q": "Let d(k) be the first derivative of -7*k**3/3 - 3*k**2/2 - 52. Let b(c) be the third derivative of -c**4/24 + 28*c**2. Calculate b(d(a)).", "a": "7*a**2 + 3*a" }, { "q": "Let h(k) = -k. Let p(z) = 73*z + 7. Let d(j) = -2*j + 2. Let b(u) = 6*d(u) - 2*p(u). Calculate b(h(y)).", "a": "158*y - 2" }, { "q": "Let i(c) = -3*c**2 - 9*c + 2. Let n be i(-3). Let b(h) = -71*h**n - 78*h**2 + 148*h**2. Let t(o) = -9*o. What is t(b(r))?", "a": "9*r**2" }, { "q": "Let q(j) = -9409245*j**2. Let l(d) = d. What is q(l(m))?", "a": "-9409245*m**2" }, { "q": "Let z(s) = 2407*s**2. Let f(y) = 174*y**2. Calculate z(f(d)).", "a": "72874332*d**4" }, { "q": "Let c(i) be the third derivative of -i**4/8 - 5*i**3/6 + i**2. Let x(v) = -44 + 21 + v + 24. Let s(j) = c(j) + 5*x(j). Let g(w) = -w**2. Calculate s(g(l)).", "a": "-2*l**2" }, { "q": "Let a(p) be the second derivative of 1/6*p**3 + 6*p + 0 + 0*p**2. Let v(y) be the second derivative of 3*y**4/4 - 18*y. Determine v(a(l)).", "a": "9*l**2" }, { "q": "Let p(i) = -16*i - 38. Let d(r) = 61*r. Give d(p(v)).", "a": "-976*v - 2318" }, { "q": "Suppose 31*t - 12 = 27*t. Let d(j) = -6*j**2 + t*j**2 + 2*j**2. Let p(c) = -17*c**2. Determine p(d(n)).", "a": "-17*n**4" }, { "q": "Let y(v) = -9*v + 6. Let b(s) = 147*s - 99. Let r(l) = -2*b(l) - 33*y(l). Let p(h) = h**2 + 80*h. Calculate p(r(q)).", "a": "9*q**2 + 240*q" }, { "q": "Let x(y) = 43 - 642*y - 669*y + 1310*y. Let g(c) = -5*c**2. Give x(g(i)).", "a": "5*i**2 + 43" }, { "q": "Let x(l) = 10*l**2 + 2. Let y(j) be the third derivative of j**7/2520 + 17*j**5/20 + 32*j**2. Let t(z) be the third derivative of y(z). Calculate x(t(o)).", "a": "40*o**2 + 2" }, { "q": "Let t(w) = -5*w**2. Let s(v) = 9*v**2 + 174*v + 5. Let n(l) = -11*l**2 - 174*l - 6. Let x(i) = 5*n(i) + 6*s(i). What is x(t(j))?", "a": "-25*j**4 - 870*j**2" }, { "q": "Let j(h) = -6031*h**2 + 3. Let s(q) = 169*q + 2. Determine s(j(m)).", "a": "-1019239*m**2 + 509" }, { "q": "Let h(v) = 30*v**2. Let b(j) = 159472*j. What is b(h(w))?", "a": "4784160*w**2" }, { "q": "Let d(f) = -730*f**2. Let w(x) = 2*x**2 + 14*x + 12*x - 6*x**2 - 26*x. Give w(d(g)).", "a": "-2131600*g**4" }, { "q": "Let m(j) = 8*j - 20. Let b(t) = 10*t - 24. Let n(x) = -5*b(x) + 6*m(x). Let d(g) = -2027*g**2. Give d(n(h)).", "a": "-8108*h**2" }, { "q": "Let t(d) be the first derivative of 47 - 9*d**2 - 13*d**2 - 9*d**2 + 32*d**2. Let u(q) = -9*q**2 + 8. What is u(t(a))?", "a": "-36*a**2 + 8" }, { "q": "Let x(c) = -2661 + 1332 - c**2 + 2*c**2 + 1329. Let f(g) = -2*g**2 + 6. Give x(f(n)).", "a": "4*n**4 - 24*n**2 + 36" }, { "q": "Let v(l) be the third derivative of 7*l**4/24 + l**3/2 + 201*l**2. Let s(x) = -7*x. Let p(g) = 3*g. Let k(h) = 15*p(h) + 6*s(h). What is k(v(d))?", "a": "21*d + 9" }, { "q": "Let w(m) = -2*m. Let j(x) be the first derivative of -603*x**2/2 - 236. Give w(j(b)).", "a": "1206*b" }, { "q": "Let l = 589 - 283. Let s(k) = 152*k - l*k + 153*k. Let p(w) = -70*w. Give s(p(r)).", "a": "70*r" }, { "q": "Let g(p) = -p**3 + 10*p**2 - 17*p + 8. Let o be g(7). Let v(u) = -u**2 + 17 + 19 - o. Let b(k) be the first derivative of -k**2/2 - 1. What is v(b(x))?", "a": "-x**2" }, { "q": "Let y(r) be the second derivative of 6*r**3 - 2*r. Suppose -4*l - 15 = -9*l. Let m(v) = -l*v + 0*v + v. Calculate y(m(z)).", "a": "-72*z" }, { "q": "Let i(o) = 3*o. Let v(r) = -284824*r**2 - r + 2. Calculate v(i(g)).", "a": "-2563416*g**2 - 3*g + 2" }, { "q": "Let m(n) be the first derivative of n**5/20 + 14*n**3 - 2*n - 41. Let u(s) be the third derivative of m(s). Let v(h) = h**2 - 2*h + 2*h. Calculate u(v(o)).", "a": "6*o**2" }, { "q": "Let t(m) = -4216*m. Let l(c) = -3748*c**2 - 1. What is t(l(r))?", "a": "15801568*r**2 + 4216" }, { "q": "Let w(q) be the second derivative of 7*q**3/6 + 2*q - 952. Let u(a) = -3*a + 6. Determine u(w(z)).", "a": "-21*z + 6" }, { "q": "Let c(r) = 16*r**2 - 40*r**2 + 28*r**2. Let s(a) = a - 172. Determine s(c(t)).", "a": "4*t**2 - 172" }, { "q": "Let n(d) = d**2. Let u(s) be the second derivative of -s**3/3 + 795*s**2/2 + 5*s - 110. Give u(n(w)).", "a": "-2*w**2 + 795" }, { "q": "Let b(g) = 3999*g**2. Let x(i) = -3*i**2 - 39. Calculate x(b(a)).", "a": "-47976003*a**4 - 39" }, { "q": "Let m(i) = 3*i + 16. Let w be m(-8). Let q(t) = -t**3 - 8*t**2 - 2*t - 8. Let n be q(w). Let p(b) = 14 + 11*b**2 - 6 - n. Let f(s) = 2*s. Give f(p(a)).", "a": "22*a**2" }, { "q": "Let b(g) = -378*g + 108. Let a(u) = 6*u - 2. Let r(l) = 324*a(l) + 6*b(l). Let d(p) = 7*p**2. Determine d(r(c)).", "a": "734832*c**2" }, { "q": "Let a(u) = -2*u. Let y(v) = -21*v**2 - 474*v - 2. Calculate a(y(k)).", "a": "42*k**2 + 948*k + 4" }, { "q": "Let a(b) = -708*b. Let l(u) = 136*u + 4. Determine a(l(n)).", "a": "-96288*n - 2832" }, { "q": "Let u(h) be the second derivative of -h**3 + h. Let w = -65 + 65. Let n(x) = -x + 3*x - 5*x + w*x. Give u(n(v)).", "a": "18*v" }, { "q": "Let l(k) be the first derivative of -27*k - 55 + 0*k**2 - 2/3*k**3. Let t(f) = -f**2. Give l(t(y)).", "a": "-2*y**4 - 27" }, { "q": "Let a(s) be the second derivative of s**6/24 + s**3/2 + 6*s**2 + 40*s. Let x(b) be the second derivative of a(b). Let t(v) = 2*v**2. What is x(t(d))?", "a": "60*d**4" }, { "q": "Let j(y) = 10*y + 19*y + 8*y. Let w(g) = -10*g - 12. Let t(v) = -8*v - 10. Let f(d) = 6*t(d) - 5*w(d). Calculate f(j(n)).", "a": "74*n" }, { "q": "Let j(t) = 3*t**2. Let l(r) be the first derivative of -260*r**2 - 407. Give l(j(z)).", "a": "-1560*z**2" }, { "q": "Let y(r) = 8*r. Let w(c) = 2*c**2 + 22520. Calculate w(y(s)).", "a": "128*s**2 + 22520" }, { "q": "Let y(p) = p**3 - 13*p**2 + 38*p - 12. Let o be y(11). Let g(a) = 79*a. Let h(n) = 4346*n. Let u(q) = o*g(q) - 3*h(q). Let l(w) = w**2. What is u(l(x))?", "a": "-82*x**2" }, { "q": "Let z(g) = 7*g**2 - 98*g + 2. Let p(x) = -45*x**2 + 590*x - 13. Let s(v) = -4*p(v) - 26*z(v). Let d(m) = -6*m**2. Give s(d(t)).", "a": "-72*t**4 - 1128*t**2" }, { "q": "Let q(u) = 5*u**2 - 9*u. Let k(z) = -6*z**2 + 12*z. Let h(w) = -3*k(w) - 4*q(w). Let t(v) = v**2 - 262. What is h(t(y))?", "a": "-2*y**4 + 1048*y**2 - 137288" }, { "q": "Let x(d) = -7682*d. Let a(n) = 1273*n. Give x(a(o)).", "a": "-9779186*o" }, { "q": "Let f(h) = -h**2. Let l(z) be the first derivative of 0*z - 20 - 13/3*z**3 + 0*z**2. Give f(l(q)).", "a": "-169*q**4" }, { "q": "Let g(u) = -16*u + 1. Let t(z) = -z - 1. Let w(y) = -y**2 + 4*y + 4. Let v(n) = -4*t(n) - w(n). Calculate g(v(h)).", "a": "-16*h**2 + 1" }, { "q": "Let l(o) = 153*o**2. Let z = -202 - -204. Let j(r) = 0*r + 73*r**2 - 72*r**z + 0*r. Determine l(j(u)).", "a": "153*u**4" }, { "q": "Let t(m) = -2*m. Suppose 0 = -3*p - 6 + 15. Suppose -5*z = 4*k - 2, -k - 12 = p*z - 8*z. Let j(b) = 2*b**2 + 4*b**2 - 5*b**z - 2*b**2. Determine t(j(o)).", "a": "2*o**2" }, { "q": "Let f(i) be the third derivative of i**5/20 - 3*i**3/2 - 4*i**2 + 13*i. Let a(k) be the first derivative of f(k). Let h(s) = 4*s. Calculate h(a(l)).", "a": "24*l" }, { "q": "Let l(u) = -5*u + 9. Let f(p) = 15*p**2. Let x(j) = 13*j**2. Let v(i) = -f(i) + x(i). What is v(l(b))?", "a": "-50*b**2 + 180*b - 162" }, { "q": "Let u(b) = -383*b**2. Let s(t) = 9*t + 22. Give s(u(i)).", "a": "-3447*i**2 + 22" }, { "q": "Let r(m) = -761*m**2 + 1603*m**2 - 1235*m**2. Let z(l) = -4*l. Determine r(z(d)).", "a": "-6288*d**2" }, { "q": "Let o(i) = i. Let m(u) = -53 + 26 + 25 + 3*u. Let h(j) = 2*j - 3. Let p(x) = 6*h(x) - 5*m(x). Calculate o(p(y)).", "a": "-3*y - 8" }, { "q": "Let i(l) = l. Suppose -9*d = z - 6*d - 21825, 2*z - 43690 = 2*d. Let q(t) = t + z - 21840. What is i(q(j))?", "a": "j" }, { "q": "Let l(s) = -s**2. Let v(j) = 1 + 223*j**2 + 231*j**2 - 395*j**2 - 448*j**2 - 354*j**2. Give v(l(b)).", "a": "-743*b**4 + 1" }, { "q": "Let y(h) = 745*h**2 - 4*h + 1. Let x(t) = 2242*t**2 - 11*t + 3. Let o(i) = -4*x(i) + 11*y(i). Let u(n) = -n. Calculate u(o(p)).", "a": "773*p**2 + 1" }, { "q": "Let i(u) = -902 - 905 - 2*u**2 + 1807. Let s(f) = -f**2 + 31*f. Determine i(s(n)).", "a": "-2*n**4 + 124*n**3 - 1922*n**2" }, { "q": "Let d(p) = -5*p**2. Let m = 4645 + -4643. Let x(h) be the third derivative of 0*h**3 + 0*h - 1/24*h**4 - 11*h**m + 0. Determine x(d(o)).", "a": "5*o**2" }, { "q": "Let j(w) be the second derivative of -3*w**3/2 + 2*w - 459. Let a(x) = -19*x. Determine a(j(l)).", "a": "171*l" }, { "q": "Let i(y) be the first derivative of -y**2 + 329. Let a(r) = -149*r**2 + 2*r. Give a(i(j)).", "a": "-596*j**2 - 4*j" }, { "q": "Let d(s) = 14*s**2. Let n(i) = -10 - 12 + i - 3 - 8 - 4. Give d(n(y)).", "a": "14*y**2 - 1036*y + 19166" }, { "q": "Let n(p) = 9772*p**2. Let l(q) = -202*q**2. What is l(n(c))?", "a": "-19289380768*c**4" }, { "q": "Let t(l) = -l**2. Let d(j) be the first derivative of -7/12*j**4 + 0*j**2 + 8 + 0*j**3 - 17*j. Let q(h) be the first derivative of d(h). Give q(t(b)).", "a": "-7*b**4" }, { "q": "Let g(t) = -12*t**2 - 8*t**2 - 19*t**2 + 57*t**2 - 8*t**2. Let u(q) = 11*q**2 + 8. Determine u(g(f)).", "a": "1100*f**4 + 8" }, { "q": "Let j(d) be the first derivative of -44*d**3/3 + 2*d - 3064. Let v(f) = f - 1. Let z(h) = -2*h + 4. Let b(l) = 4*v(l) + z(l). Determine b(j(w)).", "a": "-88*w**2 + 4" }, { "q": "Let i(t) be the second derivative of 1/3*t**3 + 0*t**2 + 0 + 14*t. Let f(w) = -w + 1. Let u(h) = 9*h - 5. Let v(d) = -5*f(d) - u(d). Determine v(i(z)).", "a": "-8*z" }, { "q": "Let m(i) = -6*i + 54. Let u(f) = -f + 12. Let g(c) = 2*m(c) - 9*u(c). Let d(j) = -10*j**2 + 17. Give d(g(b)).", "a": "-90*b**2 + 17" }, { "q": "Let c(r) = r**2 - 6. Let z(s) = -173177*s. Determine c(z(i)).", "a": "29990273329*i**2 - 6" }, { "q": "Let g(d) = 174*d + 18. Let m(n) = -19*n - 2. Let r(t) = -g(t) - 9*m(t). Let c(h) = -56*h. Give r(c(q)).", "a": "168*q" }, { "q": "Let g(n) = n**2 - 12*n. Let m(h) = 4342*h**2. Give g(m(d)).", "a": "18852964*d**4 - 52104*d**2" }, { "q": "Let y(q) = -71*q + 8. Let l(z) = 6960*z. What is l(y(i))?", "a": "-494160*i + 55680" }, { "q": "Let i(p) = 93*p - 4. Let y(c) = -20128*c. Calculate y(i(v)).", "a": "-1871904*v + 80512" }, { "q": "Let j(m) = -m**2. Let d(t) = 5890*t + 428. Give d(j(x)).", "a": "-5890*x**2 + 428" }, { "q": "Let p(f) = -f**2. Let w(g) be the first derivative of 3*g**3/2 + 21*g + 54. Let u(t) be the first derivative of w(t). Determine u(p(i)).", "a": "-9*i**2" }, { "q": "Let x(w) = -2*w**2. Let z(a) = 46902*a**2 - 19*a. Give z(x(b)).", "a": "187608*b**4 + 38*b**2" }, { "q": "Let p(s) = 60799*s + 5. Let k(i) = -10*i**2. Calculate p(k(z)).", "a": "-607990*z**2 + 5" }, { "q": "Let k(i) = -16*i**2 - 54626*i. Let h(c) = 2*c. What is h(k(g))?", "a": "-32*g**2 - 109252*g" }, { "q": "Let r(t) be the third derivative of -t**5/30 + 1437*t**2. Let p(h) = -1034*h. Give r(p(j)).", "a": "-2138312*j**2" }, { "q": "Let t(x) = 5*x. Let a(o) be the first derivative of 2*o**3/3 + 5*o**2 + 370. Determine t(a(z)).", "a": "10*z**2 + 50*z" }, { "q": "Let t(r) = -r. Suppose 563 = 3*s + u, -3*s + 6*u - u = -533. Suppose 0*z = -z - 3*m + 207, 0 = -z + 4*m + s. Let k(g) = 25*g**2 - z*g + 198*g. What is t(k(a))?", "a": "-25*a**2" }, { "q": "Suppose 3*x - 5*h - 9 = -h, 2*h = 4*x - 12. Suppose 68 = x*g + 26. Let z(c) = 12*c**2 + c - c - g*c**2. Let f(v) = -32*v. What is f(z(u))?", "a": "64*u**2" }, { "q": "Let n(a) = -13*a**2. Let d(x) = -720845*x. Calculate n(d(f)).", "a": "-6755027682325*f**2" }, { "q": "Let c(n) = -n**2 - 11*n + 14. Let b be c(-12). Let t(o) = -o**b - 9*o**2 + 13*o - 13*o. Let u(j) = j**2. Determine u(t(l)).", "a": "100*l**4" }, { "q": "Let b(a) = -17*a**2. Let m(i) be the first derivative of -i**5/10 + 11*i**2/2 + i + 45. Let g(q) be the second derivative of m(q). What is g(b(z))?", "a": "-1734*z**4" }, { "q": "Let f(a) = a. Let s(d) = 146*d + 6906. Determine s(f(u)).", "a": "146*u + 6906" }, { "q": "Let f(w) = 4*w**2 + 1059*w. Let s(v) = -5*v + 114. What is s(f(t))?", "a": "-20*t**2 - 5295*t + 114" }, { "q": "Let g(s) = 304*s. Let b(i) = 15622*i. Calculate g(b(w)).", "a": "4749088*w" }, { "q": "Let p = -98 + 100. Let r(v) = 230 + p*v - 456 + 226. Let g(h) = -h**2. What is g(r(b))?", "a": "-4*b**2" }, { "q": "Let m(v) = 32*v**2. Let r(q) = -1081*q + 11. Determine r(m(y)).", "a": "-34592*y**2 + 11" }, { "q": "Let x(j) = 62102*j**2 + 103*j. Let c(y) = -y**2. Determine x(c(v)).", "a": "62102*v**4 - 103*v**2" }, { "q": "Let i(d) = -4534*d**2. Let a(p) = 2788*p**2. Give i(a(b)).", "a": "-35242528096*b**4" }, { "q": "Let l(n) = 2*n. Let p(r) = 21*r + 4151. Determine l(p(f)).", "a": "42*f + 8302" }, { "q": "Let k(y) be the first derivative of -75 - 4/3*y**3 + 0*y + 0*y**2. Let l(c) = c - 4*c - 2*c. Determine l(k(s)).", "a": "20*s**2" }, { "q": "Let h(z) = -9*z - 3. Let p(a) = -a**2 + 8509. Determine p(h(l)).", "a": "-81*l**2 - 54*l + 8500" }, { "q": "Let u(m) = -3*m. Suppose 11*i = -0*i + 77. Let b(s) = -i*s**2 - 37*s**2 + 9*s**2. What is u(b(j))?", "a": "105*j**2" }, { "q": "Let k(v) = -v + 34. Let m(o) = 3*o - 2843. Give m(k(b)).", "a": "-3*b - 2741" }, { "q": "Let a(p) = p**2 + p. Let u(o) = 21*o**2 + 24*o. Let x(h) = -120*a(h) + 5*u(h). Let t(g) = 26*g - 106*g + 28*g + 26*g + 31*g. What is t(x(z))?", "a": "-75*z**2" }, { "q": "Let l(y) = -126*y**2 - 7*y - 1. Let k(f) = 19*f. Give k(l(x)).", "a": "-2394*x**2 - 133*x - 19" }, { "q": "Let h(q) = -79*q + 133. Let x(z) = 30*z. What is x(h(v))?", "a": "-2370*v + 3990" }, { "q": "Let r(u) = 2*u - 8. Let v(m) = 24*m - 32. Let t(o) = 4*r(o) - v(o). Let h(n) = -33*n - 1. Determine h(t(p)).", "a": "528*p - 1" }, { "q": "Let k(l) = -27*l**2 + 240*l. Let t(y) = 17*y**2. Calculate k(t(n)).", "a": "-7803*n**4 + 4080*n**2" }, { "q": "Let x(b) = -b**2 - 2*b**2 + 2*b**2. Let m(q) be the second derivative of -q**3/3 - 7*q**2/2 + 2*q - 244. Give x(m(i)).", "a": "-4*i**2 - 28*i - 49" }, { "q": "Let t(l) = -43*l**2 - 28*l. Let v(n) = 385*n**2 + 245*n. Let m(c) = -35*t(c) - 4*v(c). Let j(i) = 11*i - 2. Determine j(m(p)).", "a": "-385*p**2 - 2" }, { "q": "Let b(q) = 2*q - 8. Let p be b(7). Let c(y) = -2*y**2 + p*y**2 - 5*y**2. Let l(t) = 13 - 12 + 10 + 27*t - 11. What is l(c(z))?", "a": "-27*z**2" }, { "q": "Let m(w) = 5*w - 4*w - 5*w - 5*w. Let p(t) = -128*t**2 - 252*t + 28. Let n(a) = -23*a**2 - 45*a + 5. Let d(g) = -28*n(g) + 5*p(g). Determine m(d(r)).", "a": "-36*r**2" }, { "q": "Let u(s) = s - 11. Let o(x) = -2. Let c(b) = -22*o(b) + 4*u(b). Let n(z) = -80 + 244 + 2*z - 88 - 76. Determine c(n(y)).", "a": "8*y" }, { "q": "Let c(g) = -2*g**2 - 2. Let p(r) = -159296*r. Calculate p(c(n)).", "a": "318592*n**2 + 318592" }, { "q": "Let p(b) be the second derivative of -19*b**3/6 + 55*b - 1. Let h(a) = -90*a**2. Calculate h(p(g)).", "a": "-32490*g**2" }, { "q": "Let r(i) = 17 - 72 + 135*i**2 + 39 + 16. Let u(g) = -5*g. Calculate u(r(x)).", "a": "-675*x**2" }, { "q": "Let m(f) = -44*f**2. Let d(o) be the second derivative of o**4/12 - 2*o + 520. Give d(m(a)).", "a": "1936*a**4" }, { "q": "Let a(r) = r**2 + 20337 - 20337 - 25*r + 7*r. Let y(i) = -41*i. Calculate y(a(p)).", "a": "-41*p**2 + 738*p" }, { "q": "Let o(h) = -9*h. Let l be 2/11 - (-128)/(-704). Let p(b) be the third derivative of 6*b**2 + l - 1/30*b**5 + 0*b**4 + 0*b**3 + 0*b. Give p(o(n)).", "a": "-162*n**2" }, { "q": "Suppose 58 = u + 3*q - 83, 4*u = -5*q + 550. Let r(v) = -u*v - 135*v + 275*v. Let z(k) = -2*k**2. What is r(z(n))?", "a": "-10*n**2" }, { "q": "Let g(k) = 258*k**2 - 43. Let n be ((-99)/(-44))/((-3)/8). Let o(m) = -37*m**2 + 6. Let u(f) = n*g(f) - 43*o(f). Let i(r) = r. What is u(i(p))?", "a": "43*p**2" }, { "q": "Let q(v) be the second derivative of -v**3/2 + 7*v**2/2 - 219*v. Let i(n) = -2*n. Give i(q(r)).", "a": "6*r - 14" }, { "q": "Let u(a) = 55*a**2 + 1653. Let m(i) = -13*i. Calculate u(m(b)).", "a": "9295*b**2 + 1653" }, { "q": "Let z(p) = 8*p**2. Let g(b) = -b**2 + 8*b - 5. Let o be g(7). Suppose -6*k + 3*k = -4*m - 217, k - 59 = 4*m. Let v(d) = 79*d - k*d - 2*d**o. What is v(z(c))?", "a": "-128*c**4" }, { "q": "Let b(k) = -47*k**2 - 52*k**2 + 139*k**2 - 41*k**2. Let u(z) be the third derivative of -z**5/12 + z**2. Determine u(b(c)).", "a": "-5*c**4" }, { "q": "Let r(i) = -16768431*i**2 + 2. Let s(l) = 2*l. Calculate s(r(g)).", "a": "-33536862*g**2 + 4" }, { "q": "Let l(v) = -v. Let d(i) = 11467511*i. What is d(l(t))?", "a": "-11467511*t" }, { "q": "Let u(p) = -11381824*p. Let f(n) = 2*n**2. Determine f(u(b)).", "a": "259091835133952*b**2" }, { "q": "Let o(g) = 3*g**2. Let c(b) be the first derivative of -26 - 17/2*b**2 + 0*b. Determine c(o(d)).", "a": "-51*d**2" }, { "q": "Let r(d) be the third derivative of -43*d**5/30 - 369*d**2. Let n(m) = 10*m. What is n(r(g))?", "a": "-860*g**2" }, { "q": "Let f(a) be the second derivative of a**3/6 + 25*a + 3. Let p(b) be the third derivative of -5*b**5/12 + b**2. Give f(p(d)).", "a": "-25*d**2" }, { "q": "Let y(n) = -3*n - 564. Let i(s) = -s - 273. Let m(f) = 7*i(f) - 3*y(f). Let w(p) = -6*p**2. Calculate m(w(q)).", "a": "-12*q**2 - 219" }, { "q": "Let a(l) be the third derivative of l**4/8 + 4*l**2 + l + 3. Let t(c) be the third derivative of -11*c**5/60 + c**2. Calculate t(a(s)).", "a": "-99*s**2" }, { "q": "Let f(r) = -3*r - 2. Let j(b) = 4 - 6*b + b - 3 + 6*b. Let q(c) = 3*f(c) + 6*j(c). Let a(z) = -6*z. Determine q(a(u)).", "a": "18*u" }, { "q": "Let p(b) = 2*b**2. Let j(y) be the third derivative of 14*y**5/15 - 19*y**4/24 - 1363*y**2. What is j(p(h))?", "a": "224*h**4 - 38*h**2" }, { "q": "Let o(f) = -f + 163. Let r(t) = 95*t**2 - 5*t. Give o(r(w)).", "a": "-95*w**2 + 5*w + 163" }, { "q": "Let g = 206 - 200. Let a(m) = g*m + m - 6*m. Let t(j) = 2*j - 5. Calculate t(a(f)).", "a": "2*f - 5" }, { "q": "Let f(s) be the third derivative of -s**4/24 + 1271*s**2. Let z(d) = d**2 + 312*d. Calculate f(z(g)).", "a": "-g**2 - 312*g" }, { "q": "Let z(b) = -165*b**2. Let g(k) = -93*k - 81*k - 7 + 161*k + 7. Give z(g(i)).", "a": "-27885*i**2" }, { "q": "Let n(b) = -277931*b**2. Let a(i) = -22*i. Calculate n(a(p)).", "a": "-134518604*p**2" }, { "q": "Let o(k) be the second derivative of k**3/6 + k. Suppose 0 = 3*v - l - 119, 5*v = 4*l + 242 - 32. Let f(z) = v - 8*z - 38. Determine f(o(j)).", "a": "-8*j" }, { "q": "Let p(u) = 55*u**2. Let o(k) = k - 1. Let g(h) = 41*h - 27. Let r(q) = -10*q + 7. Let c(t) = -2*g(t) - 9*r(t). Let w(i) = 2*c(i) - 18*o(i). Calculate w(p(j)).", "a": "-110*j**2" }, { "q": "Let r(a) = -3*a. Let l(n) = 136672*n**2. Calculate l(r(j)).", "a": "1230048*j**2" }, { "q": "Let s(o) = -10*o - 18*o + 30*o. Let g(x) = -138*x**2 - 4. Let c(m) = 275*m**2 + 7. Let v(t) = -4*c(t) - 7*g(t). Determine v(s(a)).", "a": "-536*a**2" }, { "q": "Let v(z) be the third derivative of -155*z**4/8 - z**2 + 389*z. Let s(a) = -4*a. Determine s(v(n)).", "a": "1860*n" }, { "q": "Let q be 1/4*(-21 - -21). Let w(s) = 6*s - 7*s + q*s. Let y(d) = 5*d**2. Calculate w(y(v)).", "a": "-5*v**2" }, { "q": "Let u be (3/(-9)*-3)/1. Let r(o) = u + 15 - 8*o - 16. Let b(m) = -m. Give r(b(q)).", "a": "8*q" }, { "q": "Let f(t) = 12*t + 28*t - 42*t. Let k(w) be the third derivative of w**5/2 + 17*w**2. Determine k(f(v)).", "a": "120*v**2" }, { "q": "Let v(z) = 2*z**2 + 5. Let c(k) = 3*k**2 - 36 - 29 + 71. Let g(b) = -5*c(b) + 6*v(b). Let p(a) = 6*a. Give g(p(w)).", "a": "-108*w**2" }, { "q": "Let m(p) be the first derivative of 0*p**2 + 15*p + 0*p**3 + 4 + 1/3*p**4. Let r(c) be the first derivative of m(c). Let o(h) = -5*h**2. What is r(o(d))?", "a": "100*d**4" }, { "q": "Let z(q) = -3 + 391*q - 4 - 198*q - 197*q + 0. Let f(a) = 13*a. Give z(f(w)).", "a": "-52*w - 7" }, { "q": "Let l(x) = 6*x - 125206. Let i(d) = -d**2. Calculate l(i(r)).", "a": "-6*r**2 - 125206" }, { "q": "Let l(j) = 3*j. Let s(z) = 4*z - 3*z - 2*z. Let f(u) = -8*u. Let h be 2/(-6 - (395/(-30) - -7)). Let n(w) = h*s(w) - f(w). Determine n(l(q)).", "a": "-12*q" }, { "q": "Let u(s) = 1066*s. Let p(c) = -11*c**2 + 10*c - 5. Let m(l) = 2*l**2 - 2*l + 1. Let x(f) = 5*m(f) + p(f). Give u(x(z)).", "a": "-1066*z**2" }, { "q": "Let a(i) = 30*i + 5. Let f(v) = 30*v + 4. Let r(g) = 4*a(g) - 5*f(g). Let h(m) be the third derivative of -m**5/30 - 53*m**2. What is r(h(k))?", "a": "60*k**2" }, { "q": "Let l(x) = -x + 2*x**2 + x. Let j(o) = 1511703*o**2 + 1511722*o**2 - 3023456*o**2. Calculate l(j(h)).", "a": "1922*h**4" }, { "q": "Let t(c) = 32*c**2. Let y(v) = -v + 2. Let j be 3/(-2)*((-448)/21)/8. Let q(a) = 3*a - 5. Let s(z) = j*q(z) + 10*y(z). Determine t(s(x)).", "a": "128*x**2" }, { "q": "Let i(q) = 20*q**2 - 2*q**2 + 17*q**2 + 12*q**2. Let f(o) be the second derivative of o**3/6 - 8*o. Determine f(i(v)).", "a": "47*v**2" }, { "q": "Let f(o) = -36*o + 11. Let t(k) = 165*k**2. Calculate f(t(v)).", "a": "-5940*v**2 + 11" }, { "q": "Let a(s) = -8*s**2. Let u be ((-44)/36 + (2 - 16/9))*0. Let t(d) be the third derivative of 0*d**4 + 0 - 1/60*d**5 + 9*d**2 + u*d + 0*d**3. What is t(a(o))?", "a": "-64*o**4" }, { "q": "Let d(c) = 15*c. Let y(t) = 387963*t**2. Determine y(d(u)).", "a": "87291675*u**2" }, { "q": "Let j(s) = -3*s. Let p(x) = 12093603*x**2. Calculate j(p(c)).", "a": "-36280809*c**2" }, { "q": "Let i(c) = 3*c. Let w(n) = 3*n - 10 + 2*n - 3*n + 13 - 4. Give i(w(s)).", "a": "6*s - 3" }, { "q": "Let d(p) = 40*p**2. Let m(r) = -4*r - 2. Let z(c) = -2*c - 2*c - 6*c - 7 - 3*c. Let v(q) = 7*m(q) - 2*z(q). Calculate d(v(x)).", "a": "160*x**2" }, { "q": "Let w(d) = 2430*d - 35. Let x(p) = 143*p - 2. Let s(r) = -2*w(r) + 35*x(r). Let j(g) be the first derivative of -g**2 - 191. What is s(j(n))?", "a": "-290*n" }, { "q": "Let p(w) = -5*w - w + 4*w + 12*w - 6*w. Let r(q) = -601*q. Give r(p(n)).", "a": "-2404*n" }, { "q": "Let b(a) be the second derivative of -a**3/3 + 345*a**2/2 + 1127*a. Let k(p) = -2*p. Give b(k(u)).", "a": "4*u + 345" }, { "q": "Let v(p) be the first derivative of -3*p**2/2 + 597. Let i(h) = 426*h. Give v(i(b)).", "a": "-1278*b" }, { "q": "Let q(b) = -13681*b. Let f(m) = 30*m**2 - 2. Calculate q(f(o)).", "a": "-410430*o**2 + 27362" }, { "q": "Let f(h) be the first derivative of -h**2 + 26*h - 525. Let b(y) = -30*y. Give f(b(m)).", "a": "60*m + 26" }, { "q": "Let x(w) = 11*w. Let a(i) = 221*i. Let b = -181 - -62. Let g(s) = b*x(s) + 6*a(s). Let r(m) = -m**2 - 3*m**2 + 3*m**2. Give g(r(n)).", "a": "-17*n**2" }, { "q": "Let q(n) be the first derivative of 16*n**3/3 - 16. Let l(z) be the first derivative of -9 + 6 + 0 - z**2 + 2. Give l(q(s)).", "a": "-32*s**2" }, { "q": "Let o(t) = -6*t. Let x(b) = -819762*b. Give o(x(s)).", "a": "4918572*s" }, { "q": "Let k(d) = 294*d**2. Let g(l) = 10873*l. Give k(g(f)).", "a": "34757305926*f**2" }, { "q": "Let i(k) = -k**2 + 5*k - 1. Let a(m) = m**2 - 10*m + 2. Let j(x) = a(x) + 2*i(x). Let w(u) = -5*u + 5. Give j(w(p)).", "a": "-25*p**2 + 50*p - 25" }, { "q": "Let u(a) be the first derivative of 0*a + 1 - 19/2*a**2. Let b(t) = 78*t - 156*t + 78*t - 2*t**2. Calculate b(u(g)).", "a": "-722*g**2" }, { "q": "Let f = 0 + 4. Suppose f = p + p. Let t(d) = -27*d**2 - 27*d**2 + 40*d**p. Let c(i) = 2*i**2. What is c(t(r))?", "a": "392*r**4" }, { "q": "Let g(c) = 20*c. Let o(j) = 4. Suppose 22*t + 11 = 33*t. Let y(f) = f - 1. Let i(a) = t*o(a) + 4*y(a). Calculate i(g(s)).", "a": "80*s" }, { "q": "Let f(h) be the second derivative of -h**4/3 - h**3/3 + 33*h. Let z(i) = 2*i. Let q(c) = -2*c. Let b(t) = -4*q(t) - 3*z(t). Calculate b(f(a)).", "a": "-8*a**2 - 4*a" }, { "q": "Let p(i) = 3*i. Suppose -99 = -16*x - 10*x - 21. Let w(m) be the second derivative of -13*m + 0 + 0*m**2 - 1/3*m**x. Calculate w(p(d)).", "a": "-6*d" }, { "q": "Let q(s) = -1244017*s**2. Let m(d) = 7*d**2. Give m(q(f)).", "a": "10833048074023*f**4" }, { "q": "Let q(y) be the second derivative of -y**3/2 - 681*y. Let o(n) = 970*n**2. Calculate q(o(j)).", "a": "-2910*j**2" }, { "q": "Let n(p) = 2374*p + 2365*p + 2365*p - p**2 - 7104*p. Let g(v) = -2 + 141*v**2 + 2. Determine g(n(x)).", "a": "141*x**4" }, { "q": "Let g(b) be the second derivative of -1/2*b**3 + 0*b**2 - 3*b - 14. Let m(a) = -3*a. Determine m(g(c)).", "a": "9*c" }, { "q": "Let p(f) be the third derivative of -f**4/24 - f**2. Let l = 327 + -325. Let q(g) = -147*g - 143*g + 290*g + 10*g**l. Calculate q(p(z)).", "a": "10*z**2" }, { "q": "Let n(p) = -51*p**2 - 136. Let m(d) = d**2 + 2. Let j(t) = -68*m(t) - n(t). Let q(y) = -y**2 + 11. Determine j(q(a)).", "a": "-17*a**4 + 374*a**2 - 2057" }, { "q": "Let i(h) = h. Let o(r) = -17323275*r**2. Determine o(i(y)).", "a": "-17323275*y**2" }, { "q": "Let t(f) = 2*f**2. Let u(z) be the second derivative of z**4/12 - 11*z**3/6 - 1504*z. Calculate t(u(l)).", "a": "2*l**4 - 44*l**3 + 242*l**2" }, { "q": "Let g(m) be the first derivative of -19*m**2/2 + 1. Let r(a) be the first derivative of -3*a**2/2 - 8681. What is g(r(h))?", "a": "57*h" }, { "q": "Let l(i) = 1127697*i**2. Let b(f) = 6*f. Give b(l(n)).", "a": "6766182*n**2" }, { "q": "Let p(c) = -c**2 + 532. Let a(l) = l - 2*l - 3*l + 2*l + 0*l. Calculate p(a(h)).", "a": "-4*h**2 + 532" }, { "q": "Let c(x) = -x**2 + 22*x - 19. Let a be c(21). Let y(m) = -m + 4*m**a + 7*m - 6*m. Let w(g) = -119 + 119 + 4*g. Calculate y(w(b)).", "a": "64*b**2" }, { "q": "Let r(n) = -n**2. Let v(b) be the second derivative of -2/3*b**4 + 0*b**2 + 0*b**3 - 13 + 3*b. Calculate v(r(s)).", "a": "-8*s**4" }, { "q": "Let q(c) = -10 + 7*c + 0 - 16 + 26. Let h(f) = -14*f**2. Calculate h(q(t)).", "a": "-686*t**2" }, { "q": "Let z(c) = 45*c. Let h(b) = -348517*b. Calculate z(h(t)).", "a": "-15683265*t" }, { "q": "Let l(f) = -23 + 8 + 15 + 24*f. Let u(z) = 52*z. Determine u(l(g)).", "a": "1248*g" }, { "q": "Let b(r) = -113*r. Let y(q) be the third derivative of 0*q + 0 + 0*q**3 - 75*q**2 + 0*q**4 - 1/30*q**5. What is b(y(d))?", "a": "226*d**2" }, { "q": "Let v be -1 + 25 - (-3 - 1). Let i(a) = v*a - 15*a + 13*a + 3*a. Let f(j) = -2*j - 4*j + 5*j. Determine f(i(k)).", "a": "-29*k" }, { "q": "Suppose 6*q = q - 40. Let g = q + 10. Let b(y) = -58 + 3*y**g + 58. Let d(c) = c. Determine d(b(n)).", "a": "3*n**2" }, { "q": "Let a(v) = -11270*v - 3*v**2 + v**2 + 11270*v. Let c(w) = 557*w. Determine a(c(u)).", "a": "-620498*u**2" }, { "q": "Let b be 12/8 - 1/(-2). Let v(a) = -41*a**2 - 37*a**2 + 84*a**b. Let t(z) be the second derivative of z**4/4 - 14*z. Give v(t(o)).", "a": "54*o**4" }, { "q": "Let y(w) = -w**2. Let l(k) = -14*k + 108. Let f(t) = 16*t - 104. Let v(h) = -6*f(h) - 7*l(h). Give v(y(p)).", "a": "-2*p**2 - 132" }, { "q": "Let j(l) = 11*l**2 + 8*l. Let x(b) = 3*b - 56. Let d(y) = y - 16. Let o(q) = 21*d(q) - 6*x(q). Give o(j(a)).", "a": "33*a**2 + 24*a" }, { "q": "Let u(v) = -4*v**2. Let k(p) be the first derivative of 0*p**2 + 14/3*p**3 + 0*p + 50. Determine k(u(t)).", "a": "224*t**4" }, { "q": "Let g(w) = -14*w**2. Let c(j) = -5*j**2 + 2. Suppose 6 - 15 = r. Let p(n) = 262 - 21*n**2 - 84 - 83 - 86. Let f(q) = r*c(q) + 2*p(q). What is f(g(y))?", "a": "588*y**4" }, { "q": "Let k(r) = 2209*r + 140. Let j(h) = -4*h**2. Give k(j(c)).", "a": "-8836*c**2 + 140" }, { "q": "Let s(b) be the second derivative of -7*b**5/60 - b**4/6 + 3*b**2 - b - 27. Let p(y) be the first derivative of s(y). Let v(f) = -3*f. What is p(v(j))?", "a": "-63*j**2 + 12*j" }, { "q": "Let m(a) = 2*a. Let k(i) be the first derivative of -485*i**2/2 - 1607. Determine m(k(b)).", "a": "-970*b" }, { "q": "Let a(x) be the second derivative of 0*x**2 + 0*x**3 - x + 0 - 2/3*x**4. Let g(k) be the second derivative of k**4/6 + 4*k. What is a(g(y))?", "a": "-32*y**4" }, { "q": "Let w(b) = 4*b**2. Let v(c) be the third derivative of -119*c**5/12 + 1578*c**2. Give w(v(p)).", "a": "1416100*p**4" }, { "q": "Let u(c) be the third derivative of -13*c**5/60 - 2895*c**2. Let q(x) be the third derivative of -x**5/30 - 2*x**2. Calculate u(q(n)).", "a": "-52*n**4" }, { "q": "Let v(o) = 704*o - 2102*o + 690*o + 706*o. Let h(c) = -c + 3*c + 6*c. Calculate h(v(s)).", "a": "-16*s" }, { "q": "Let b(n) = 7*n**3 - n**2 - n + 1. Let d be b(3). Let a(s) = -22*s**2 - 178*s + d*s. Let u(w) be the second derivative of -w**3/3 + 135*w. Calculate u(a(i)).", "a": "44*i**2" }, { "q": "Let x(n) = -4*n. Let y(m) = -13*m**2. Let o = 46 + -53. Let q(b) = 7*b**2. Let u = 41 + -45. Let j(h) = o*q(h) + u*y(h). What is x(j(l))?", "a": "-12*l**2" }, { "q": "Let p(a) = -13*a + 9. Let y(u) = 7*u - 16. Let i be y(2). Let l(o) = 3. Let w(c) = i*l(c) + p(c). Let q(k) = -2*k**2. Give w(q(r)).", "a": "26*r**2 + 3" }, { "q": "Let j(b) = 0 + 0 - 26*b**2 + 8*b**2. Let m(s) = 14*s + 35. Let h(f) = -50*f - 126. Let q(y) = 10*h(y) + 36*m(y). Determine j(q(n)).", "a": "-288*n**2" }, { "q": "Let q(a) be the first derivative of -5*a**2/2 + 6*a + 60. Let y(g) = -65*g + 80. Let n(m) = -40*q(m) + 3*y(m). Let d(s) = -2*s. Determine d(n(u)).", "a": "-10*u" }, { "q": "Let p(x) = 84*x + 1. Suppose 11 = -5*q + 41. Let j be p(q). Let d(o) = -j - 2*o + 505. Let g(m) = -13*m**2. Calculate d(g(b)).", "a": "26*b**2" }, { "q": "Let v(s) = 2*s**2. Let r(f) be the first derivative of -f**5/20 - f**3 - 7*f**2/2 - 25. Let j(b) be the third derivative of r(b). Determine v(j(n)).", "a": "72*n**2" }, { "q": "Let o(s) = -s**2 - 10*s + 12. Let j be o(-11). Let w be j*(-1276)/(-16) + (-2)/(-8). Let f(z) = -w*z + 80*z + 2*z**2. Let m(a) = -15*a**2. Give m(f(b)).", "a": "-60*b**4" }, { "q": "Let t(s) = 2*s. Let k(b) be the first derivative of 5*b**2 + 0*b**3 + 0*b - 10 + 1/12*b**4. Let j(x) be the second derivative of k(x). What is j(t(a))?", "a": "4*a" }, { "q": "Let a(s) = -s**2. Let t(l) = l**2 + l + 1. Let j be t(-2). Let z(i) be the second derivative of -j*i**4 + 303 - 303 - 8*i. Give z(a(y)).", "a": "-36*y**4" }, { "q": "Let q(x) = 24*x. Let v(g) = -g - 2. Suppose 3*h = 5*t + 22, -7*h = -4*h + t + 8. Let j(m) = 5*m + 12. Let o(b) = h*j(b) - 6*v(b). Calculate q(o(l)).", "a": "24*l" }, { "q": "Let u(m) = 53023*m**2 + 221*m - 442. Let a(v) = 482*v**2 + 2*v - 4. Let c(s) = -663*a(s) + 6*u(s). Let b(n) = 3*n. Give b(c(q)).", "a": "-4284*q**2" }, { "q": "Let w(c) = 2*c**2 - 85*c - 6. Let r(p) = 4*p**2 - 99*p - 7. Let l(j) = 6*r(j) - 7*w(j). Let z(u) = 4*u. Calculate l(z(a)).", "a": "160*a**2 + 4*a" }, { "q": "Let v(l) = -2*l**2. Let g(z) = 4093*z**2 + 12*z - 12. Let h(u) = -720369*u**2 - 2115*u + 2115. Let t(w) = -705*g(w) - 4*h(w). Give t(v(c)).", "a": "-16356*c**4" }, { "q": "Let x(c) = 3*c. Let w(k) be the third derivative of 11*k**6/720 - 37*k**4/12 + 65*k**2. Let l(t) be the second derivative of w(t). Give l(x(p)).", "a": "33*p" }, { "q": "Let r(j) be the second derivative of -j**4/8 + 20*j**2 + 2*j - 8. Let x(l) be the first derivative of r(l). Let v(d) = 6*d. Give v(x(i)).", "a": "-18*i" }, { "q": "Let r(q) be the first derivative of 2*q**3/3 + 1524. Let w(a) = -1385*a**2. Determine r(w(c)).", "a": "3836450*c**4" }, { "q": "Let p(u) = 33*u. Let y(z) be the second derivative of -5*z**3/6 + 35*z. Let t(s) = 2*p(s) + 15*y(s). Let r(v) = -8*v. Calculate r(t(j)).", "a": "72*j" }, { "q": "Let z = -132 - -143. Let b(f) = 7*f - z*f - 24*f. Let u(s) = -4*s**2. Calculate u(b(j)).", "a": "-3136*j**2" }, { "q": "Suppose 5*j + 3*y = 19, -3*y - 2 = -5*j - 1. Let l(z) = z**2 - 19*z + 3. Let k be l(19). Let q(v) = -k*v + v - v - j*v. Let o(h) = -6*h**2. Give o(q(t)).", "a": "-150*t**2" }, { "q": "Let p be (3 + 85/(-20))*-4. Let g(f) = -6 + 11 - 5*f - p. Let v(h) = -2*h**2. Give v(g(m)).", "a": "-50*m**2" }, { "q": "Let z(w) = 5*w. Let v(x) = -53708*x - 4. What is z(v(h))?", "a": "-268540*h - 20" }, { "q": "Let o(m) = 4*m**2. Suppose -55*i - 30 = -2*i - 242. Let z(v) be the second derivative of -1/3*v**i + 0 + 0*v**2 + 0*v**3 - 4*v. What is z(o(c))?", "a": "-64*c**4" }, { "q": "Let f(c) = -c. Let a = -15529 + 27116. Let s(j) = 11587*j - j**2 - a*j. Determine s(f(y)).", "a": "-y**2" }, { "q": "Let a(h) = h**2 - 2*h - 36. Let k(n) = 2*n**2 - 5*n - 90. Let w(z) = -5*a(z) + 2*k(z). Let f(t) = 494*t + 1. Give w(f(u)).", "a": "-244036*u**2 - 988*u - 1" }, { "q": "Let y(g) = 138876*g**2. Let c(l) = -51*l. Calculate y(c(a)).", "a": "361216476*a**2" }, { "q": "Let d(t) be the second derivative of -t**4/24 - 14*t**2 - t + 6. Let b(i) be the first derivative of d(i). Let s(w) = -13*w. Determine b(s(f)).", "a": "13*f" }, { "q": "Let z(b) = 3903279*b. Let i(q) = 3*q. What is i(z(l))?", "a": "11709837*l" }, { "q": "Let o(z) = -7*z. Suppose -5*p = t - 68, 4*p - 13 - 41 = -t. Let d(a) = p*a - 6*a - 6*a - 11*a. Calculate o(d(i)).", "a": "63*i" }, { "q": "Let q(t) = -32 - 108*t**2 - 49 + 81. Let f(d) = 5*d. Calculate f(q(y)).", "a": "-540*y**2" }, { "q": "Let q(z) = -z + 1. Let d(f) = -3*f - 6. Let v be ((-3)/2 + 0)*4. Let o(l) = v*q(l) - d(l). Let x(k) = k + 87 - 30 - 30 - 27. What is x(o(r))?", "a": "9*r" }, { "q": "Let n(l) = 21*l**2. Let d(y) be the first derivative of 54 + 0*y**2 + 0*y + 1/3*y**3. Determine n(d(q)).", "a": "21*q**4" }, { "q": "Let g(o) = 19*o + 1. Let r(v) be the second derivative of -v**3/6 + v**2/2 + 37*v. Let w(q) = -5*q + 6. Let s(l) = -6*r(l) + w(l). Determine g(s(j)).", "a": "19*j + 1" }, { "q": "Let s(o) = -44*o**2. Let h = -38 - -63. Suppose 30*c - 25*c - h = 0. Let k(u) = -3*u + 3*u + c*u - 3*u. Calculate s(k(b)).", "a": "-176*b**2" }, { "q": "Let q(a) be the first derivative of 5*a**4/6 + 75*a + 72. Let v(k) be the first derivative of q(k). Let j(r) = -r. Determine v(j(i)).", "a": "10*i**2" }, { "q": "Let b(l) = 8*l**2 - 15*l + 180. Let m(v) = v**2 - 2*v + 24. Let d(f) = -4*b(f) + 30*m(f). Let o(h) = -2*h - 3039. Give o(d(u)).", "a": "4*u**2 - 3039" }, { "q": "Let p(c) = -13734806*c**2. Let n(l) = -2*l**2. Calculate n(p(b)).", "a": "-377289791715272*b**4" }, { "q": "Let o(y) = -y. Let w(n) be the third derivative of 377*n**5/20 - n**2 - 228*n. Give o(w(t)).", "a": "-1131*t**2" }, { "q": "Let x(d) = -32*d**2. Let c(i) = -28*i - 30. Let m(n) = -29*n - 35. Let h(w) = -7*c(w) + 6*m(w). Give h(x(v)).", "a": "-704*v**2" }, { "q": "Let c(s) = -s. Let h(v) be the third derivative of 2033*v**5/60 + 376*v**2 - v. What is c(h(p))?", "a": "-2033*p**2" }, { "q": "Let o(c) = c. Let z(b) = -21*b - 3. Let k(j) = -2*j - 1. Let y = 86 - 88. Let x(l) = y*k(l) + z(l). Calculate o(x(s)).", "a": "-17*s - 1" }, { "q": "Let l(d) = -2*d**2. Let g be (-45)/(-10) - 1/2. Let y(s) = g*s + 15*s + 14*s - 26*s. What is y(l(n))?", "a": "-14*n**2" }, { "q": "Let s(g) = 3*g**2 - 4. Let n(p) = 6*p**2 - 7. Let k(i) = 4*n(i) - 7*s(i). Let m(a) be the first derivative of 16 - 5/2*a**2 + 0*a. Give m(k(z)).", "a": "-15*z**2" }, { "q": "Let w(h) = h. Let v(i) be the second derivative of 317*i**3/6 - 1011*i. Calculate v(w(u)).", "a": "317*u" }, { "q": "Let t(g) = -88*g**2 - 90*g. Let f(c) = 26*c. What is f(t(k))?", "a": "-2288*k**2 - 2340*k" }, { "q": "Let r(v) = -4*v**2. Let h(p) = -818815*p**2. Determine r(h(l)).", "a": "-2681832016900*l**4" }, { "q": "Let c(v) = -14*v**2 + 21*v + 28. Let m(h) = 5*h**2 - 6*h - 8. Let t(p) = 2*c(p) + 7*m(p). Let i(b) = b + 5. Determine i(t(f)).", "a": "7*f**2 + 5" }, { "q": "Let b be -2 - 6/15*(14 + -19). Let y(s) be the third derivative of 5*s**2 + 0 - 19/60*s**5 + b*s + 0*s**3 + 0*s**4. Let k(m) = m. Determine k(y(x)).", "a": "-19*x**2" }, { "q": "Let g(c) = 4*c**2. Let a(l) = 42*l + 980. Let n(u) = -u - 24. Let w(d) = -6*a(d) - 245*n(d). Determine g(w(y)).", "a": "196*y**2" }, { "q": "Let f(t) = -t**2. Let h(v) = -v**2. Let u(i) = -7*f(i) + 6*h(i). Let l(q) = 263*q**2 - 17 - 537*q**2 + 273*q**2 - 10. Determine u(l(b)).", "a": "b**4 + 54*b**2 + 729" }, { "q": "Let v(r) = 3*r + 2548. Let b(j) = 575*j. What is v(b(g))?", "a": "1725*g + 2548" }, { "q": "Let t(l) = 3*l**2 + 2*l**2 - 3*l**2. Let f(z) = 32650556 + 9*z - z**2 - 32650556. Determine f(t(o)).", "a": "-4*o**4 + 18*o**2" }, { "q": "Let w(u) = 18*u. Let d(x) be the second derivative of 2*x + 9 + 0*x**2 + 0*x**3 - 1/6*x**4. What is w(d(j))?", "a": "-36*j**2" }, { "q": "Suppose 15*p - 21 = 8*p. Let b(l) = 10*l + p*l + 9*l**2 - 13*l. Let a(k) = 8*k**2. What is a(b(g))?", "a": "648*g**4" }, { "q": "Let l = -17 + 19. Let i(r) = -191*r**2 + 90*r**2 + 98*r**l. Let b(w) = -33*w**2. Determine b(i(c)).", "a": "-297*c**4" }, { "q": "Let n(v) = v. Let p(a) be the second derivative of 10*a**3/3 - 9*a**2 + 622*a - 2. Calculate n(p(t)).", "a": "20*t - 18" }, { "q": "Let v(d) be the third derivative of -d**5/60 - 227*d**3/3 + 1418*d**2. Let m(o) = -o. Determine v(m(r)).", "a": "-r**2 - 454" }, { "q": "Let z(h) = -13*h**2. Suppose 3*k + m + 4 = 10, k = 2*m + 2. Let y(g) = -26*g**k - 28*g**2 + 48*g**2. Determine z(y(u)).", "a": "-468*u**4" }, { "q": "Let v(a) = 2*a**2. Let z(d) be the third derivative of -7*d**5/60 - 35*d**3/3 + 52*d**2. Let o(w) be the first derivative of z(w). What is v(o(x))?", "a": "392*x**2" }, { "q": "Let g(d) = d. Let u = 58 + -46. Suppose 9*b = 3*b + u. Let l(x) = 15*x**2 + 7*x**2 + 8*x**b. What is l(g(t))?", "a": "30*t**2" }, { "q": "Let c(n) be the first derivative of -3*n**2 + 214. Let x(m) = -75 + 75 + 5*m. What is x(c(h))?", "a": "-30*h" }, { "q": "Suppose -176 = -14*d - 50. Let x(c) = -3*c**2 + d*c**2 + 2*c**2 - 3*c**2. Let h(w) = 2*w**2. What is x(h(s))?", "a": "20*s**4" }, { "q": "Let f(t) be the second derivative of 7 - 5*t + 0*t**2 + 0*t**3 - 3/4*t**4. Let o(a) = 5*a. Give f(o(j)).", "a": "-225*j**2" }, { "q": "Let i(r) = -2*r. Let a be (282/18)/((10/(-6))/(-5)). Suppose -7*u + 141 = -4*u. Let p(s) = -a - 12*s + u. Determine i(p(b)).", "a": "24*b" }, { "q": "Suppose 13*f - 22 = 2*f. Let u(l) = -4*l**2 - 2*l**2 + 6*l**2 - f*l**2. Let c(v) = -28*v**2. Give u(c(g)).", "a": "-1568*g**4" }, { "q": "Suppose 34*f = 31*f + 783. Let y(z) = 258*z - 517*z + f*z. Let g(x) be the third derivative of -x**5/60 - x**2. What is y(g(k))?", "a": "-2*k**2" }, { "q": "Let a(j) = 15*j**2 - 14*j. Let d(x) = -39*x**2 + 36*x. Let u(p) = -18*a(p) - 7*d(p). Let v(q) = -62*q. Determine v(u(t)).", "a": "-186*t**2" }, { "q": "Let b(v) = -40 + 3*v**2 + 13 + 20 + 7. Let c(j) = -1069*j**2. Calculate c(b(r)).", "a": "-9621*r**4" }, { "q": "Let k(c) = 2*c**2 + 8*c. Let x(f) be the second derivative of f**5/40 + 26*f**3/3 + 6*f + 1. Let y(i) be the second derivative of x(i). Give k(y(u)).", "a": "18*u**2 + 24*u" }, { "q": "Let q(t) = -15*t. Let r(z) = -4*z + 49. Let h be r(12). Let k(l) = l. Let n(a) = a. Let p(d) = h*k(d) - 4*n(d). What is p(q(w))?", "a": "45*w" }, { "q": "Let f(z) = 8*z**2. Let n(t) = -2622091*t**2. Calculate f(n(u)).", "a": "55002889698248*u**4" }, { "q": "Let r(f) = 2*f**2 - 2*f + 850484. Let d(q) = 2*q. Give d(r(v)).", "a": "4*v**2 - 4*v + 1700968" }, { "q": "Let i(j) = -2*j + 260. Let c(t) = -4 - 47*t**2 - 37*t**2 + 85*t**2 + 4. Calculate i(c(m)).", "a": "-2*m**2 + 260" }, { "q": "Let h(t) be the second derivative of t**4/6 + 14*t. Let z(b) = -390*b**2 + 12. Let x(i) = -156*i**2 + 5. Let d(m) = -12*x(m) + 5*z(m). Determine d(h(r)).", "a": "-312*r**4" }, { "q": "Let q(m) = -4*m. Let k(d) = -76 + 36 - 203*d**2 + 64*d**2 + 40. Calculate k(q(s)).", "a": "-2224*s**2" }, { "q": "Let b(i) = 5*i + 892 + 907 - 16*i - 1799. Let t(r) = -176*r**2. What is b(t(v))?", "a": "1936*v**2" }, { "q": "Let d(j) = -11*j. Let i(n) be the second derivative of -11*n**4/12 + 30*n - 12. What is i(d(h))?", "a": "-1331*h**2" }, { "q": "Let p(m) = -106*m - 2. Let i(r) = 506*r**2 + 19. Give i(p(o)).", "a": "5685416*o**2 + 214544*o + 2043" }, { "q": "Let b(o) = 0*o**2 + 3*o - 3*o - 6*o**2 - 7*o**2. Let s(l) = 8*l - 2. Determine b(s(z)).", "a": "-832*z**2 + 416*z - 52" }, { "q": "Let t(l) = 4*l**2. Let j(k) = 220662*k**2. Give t(j(w)).", "a": "194766872976*w**4" }, { "q": "Let c(v) = -2*v + 9. Let h(i) = 20*i + 17*i + 14*i - 85*i + 17*i. Give h(c(f)).", "a": "34*f - 153" }, { "q": "Let g(q) = -2429070*q. Let c(l) = -9*l. Calculate g(c(y)).", "a": "21861630*y" }, { "q": "Suppose -h - 2*h = 0. Let f(t) = t - t - t + h. Let u(a) = -8*a - 36. Let k(r) = 4*r + 16. Let c(q) = -9*k(q) - 4*u(q). Give f(c(l)).", "a": "4*l" }, { "q": "Let k(f) = -21*f**2 - 11*f. Let m(i) = 4*i**2 + 2*i. Let o(h) = -2*k(h) - 11*m(h). Let y(r) be the second derivative of -3*r**4 - 3760*r. What is y(o(t))?", "a": "-144*t**4" }, { "q": "Let h(f) = -f - 2. Let o(l) = -l**2 + 5*l + 5. Let s be o(-1). Let q(d) = -3*d - 8. Let a(x) = s*q(x) + 4*h(x). Let j(v) = -14*v**2. Determine j(a(p)).", "a": "-14*p**2" }, { "q": "Let v(w) = -7*w. Let j(p) = -186*p**2 - 33*p - 6. Let y(z) = 15067*z**2 + 2684*z + 488. Let o(l) = -244*j(l) - 3*y(l). Give o(v(f)).", "a": "8967*f**2" }, { "q": "Let k(p) = 8*p - 18*p + 19*p + 2*p. Let y(z) = 6*z**2 - 6. Let q(r) = 1. Let j(g) = 6*q(g) + y(g). Determine k(j(v)).", "a": "66*v**2" }, { "q": "Let n(c) = 2*c**2 + 52*c. Suppose -5*x = m - 8, 6*m = 2*m - 8. Let f(a) = a + x*a - 2*a + a. What is n(f(b))?", "a": "8*b**2 + 104*b" }, { "q": "Let o(u) = -132*u. Let m(w) be the third derivative of 0*w + 0*w**3 - 1/12*w**4 - 69*w**2 + 0. Calculate m(o(n)).", "a": "264*n" }, { "q": "Let v(x) = 40247*x + 8183. Let k(w) = -172*w - 35. Let z(m) = -1169*k(m) - 5*v(m). Let i(j) = 2*j**2. Give z(i(t)).", "a": "-334*t**2" }, { "q": "Let s(o) = -8768800*o. Let r(i) = i. Determine s(r(v)).", "a": "-8768800*v" }, { "q": "Let f(m) = -9*m - 1. Let k(r) = -7*r - 1. Let a(s) = -2*f(s) + 3*k(s). Let n(u) = 2*u + 1. Let c(j) = 3*a(j) + 3*n(j). Let i(h) = 2*h**2. What is c(i(w))?", "a": "-6*w**2" }, { "q": "Let q(x) = -1640 + 83*x**2 + 87*x**2 + 1640. Let w(t) = t. Let s(g) = g**2 - g. Let k(o) = -s(o) - w(o). Give q(k(c)).", "a": "170*c**4" }, { "q": "Let b(y) = 56*y**2 - 7*y. Let d(t) = -58*t**2 + 8*t. Let n(a) = 7*b(a) + 6*d(a). Let l(m) = -3*m. Calculate n(l(q)).", "a": "396*q**2 + 3*q" }, { "q": "Let l(r) = 17*r + 19*r + 21*r - 58*r. Let s(x) = 15*x - 30. Suppose p - 81 = 4*p - 3*z, -z = 3. Let v(m) = -m + 1. Let y(b) = p*v(b) - s(b). What is l(y(n))?", "a": "-15*n" }, { "q": "Let v(t) = 16697*t**2 - 8388*t**2 - 8350*t**2. Let j(l) = -5*l**2 - 3. Give v(j(h)).", "a": "-1025*h**4 - 1230*h**2 - 369" }, { "q": "Let d(f) = 11*f. Let u(o) = 47*o + 1789. Give d(u(t)).", "a": "517*t + 19679" }, { "q": "Let g(v) = 1671*v**2 - 3*v + 1. Let t(o) = -5*o. What is t(g(a))?", "a": "-8355*a**2 + 15*a - 5" }, { "q": "Let p(f) = -2*f**2. Suppose 5*b - 85*w = -86*w + 15, -4*b - 5*w + 33 = 0. Let i(s) be the first derivative of -b + 0*s - 21/2*s**2. Calculate i(p(v)).", "a": "42*v**2" }, { "q": "Let s(x) = 2*x. Let d(t) = t**2 - 3168*t + 1906*t + 0*t**2. Determine s(d(m)).", "a": "2*m**2 - 2524*m" }, { "q": "Let n(u) = 2326*u. Let g(v) = 836*v**2. What is g(n(l))?", "a": "4522990736*l**2" }, { "q": "Let j(i) = -1496*i**2 - 1318*i**2 + 1248*i**2. Let h(r) = -r**2. What is j(h(t))?", "a": "-1566*t**4" }, { "q": "Let b(n) = 198*n - 100*n - 102*n. Let i(g) be the first derivative of g**3 - 7. Determine b(i(f)).", "a": "-12*f**2" }, { "q": "Let y(n) = 8*n. Suppose 4*i + i - 15 = 0. Suppose -h + d = -11, -3*h + h - i*d + 32 = 0. Let f(t) = -24 + h + 11 - t. Calculate y(f(a)).", "a": "-8*a" }, { "q": "Let x(i) = -23277046*i**2. Let r(l) = l. Calculate r(x(y)).", "a": "-23277046*y**2" }, { "q": "Let r(f) = -2*f. Let o(g) = 27616502*g**2. Give o(r(a)).", "a": "110466008*a**2" }, { "q": "Let j be (100/6)/(1/(-3) - 0). Let z = j - -109. Let v(l) = -z - l**2 + 59 - l**2. Let y(u) = 7*u. Calculate v(y(f)).", "a": "-98*f**2" }, { "q": "Let l(s) = 6*s**2. Let q be -1 - -39 - 9/3. Let r = q - 33. Let k(d) = -d + 5*d - r*d. Determine l(k(m)).", "a": "24*m**2" }, { "q": "Let w(k) = 3*k. Let f(h) = 13*h - 38000. What is f(w(n))?", "a": "39*n - 38000" }, { "q": "Let j(q) = -2084*q. Let f(o) = -1420*o. Give f(j(b)).", "a": "2959280*b" }, { "q": "Let b(u) be the first derivative of -26*u**3/3 + 516. Let h(m) = -34*m**2. What is h(b(j))?", "a": "-22984*j**4" }, { "q": "Let g(c) = 79*c**2 - 2. Let z(p) be the third derivative of 4*p**5/15 + 1460*p**2. Calculate z(g(b)).", "a": "99856*b**4 - 5056*b**2 + 64" }, { "q": "Let k(v) = -27*v**2. Let o(n) be the third derivative of -37*n**2 - 1/12*n**4 + 0*n**3 + 0 + 0*n. What is k(o(w))?", "a": "-108*w**2" }, { "q": "Let m(i) = -6*i. Let y(p) = -335*p**2 + 5*p + 130. What is m(y(a))?", "a": "2010*a**2 - 30*a - 780" }, { "q": "Let j(g) be the second derivative of -g**2/2 + g. Let f(t) = 17 + 3 - 20 - 2 + 7 + 17*t. Let p(v) = -f(v) - 5*j(v). Let u(c) = 2*c**2. Determine u(p(o)).", "a": "578*o**2" }, { "q": "Let c(i) be the first derivative of i**3/3 + 19. Let b(n) be the third derivative of -n**4/12 - 107*n**2. Give c(b(t)).", "a": "4*t**2" }, { "q": "Suppose -a = a - u - 2, 0 = -2*u + 4. Let f(z) = -z - 2*z**a + z. Let x(v) = -7*v + 10*v - 2*v - 3*v - 10*v. What is f(x(l))?", "a": "-288*l**2" }, { "q": "Let m(l) = 3963*l. Let a(u) = -8*u + 10. Give m(a(v)).", "a": "-31704*v + 39630" }, { "q": "Let y(z) = -z**2 - 210. Let b(a) = 588*a. What is b(y(j))?", "a": "-588*j**2 - 123480" }, { "q": "Let q(o) = 15*o. Suppose 0 = -17*k + 25*k - 16. Let s(v) = -16*v**2 + 19*v**2 + k*v**2. What is q(s(j))?", "a": "75*j**2" }, { "q": "Let a(u) = -1408*u**2. Let f(b) = -6475*b. Calculate f(a(y)).", "a": "9116800*y**2" }, { "q": "Let l(f) = 23*f. Let o(q) = -19828 + q**2 + 19828 - 7*q - q. Give o(l(r)).", "a": "529*r**2 - 184*r" }, { "q": "Let z(w) = -3*w. Let d(c) = 8*c + 154. Let g(m) = 6*m + 151. Let y(l) = 4*d(l) - 5*g(l). Give y(z(b)).", "a": "-6*b - 139" }, { "q": "Let y(c) = 6713*c**2 - 155. Let v(a) = -5*a**2. What is y(v(u))?", "a": "167825*u**4 - 155" }, { "q": "Let u(s) = 7*s**2 + s - s. Let b(p) be the second derivative of -5*p**3/3 + 2880*p. What is u(b(w))?", "a": "700*w**2" }, { "q": "Let p(c) be the third derivative of -c**4/8 - c**3/6 - 6864*c**2. Let r(y) = 0*y + 3*y - 2*y. Determine p(r(b)).", "a": "-3*b - 1" }, { "q": "Let m(s) = 4*s**2. Let f(x) = -16*x - 63. Let a(j) = 9*j + 26. Let d(g) = 5*a(g) + 2*f(g). What is m(d(w))?", "a": "676*w**2 + 416*w + 64" }, { "q": "Let g(y) = -4*y - 28. Let b(u) = 5*u + 42. Let t(q) = 2*b(q) + 3*g(q). Let j(a) = -45*a**2 - a. Calculate j(t(z)).", "a": "-180*z**2 + 2*z" }, { "q": "Let b(j) = -2*j. Let v(u) = 239*u**2 + 281. Determine b(v(w)).", "a": "-478*w**2 - 562" }, { "q": "Let x(u) = -u**2 + 3*u. Let l(f) = 2882*f**2 - 165*f. Let w(o) = -l(o) - 55*x(o). Let r(i) = 2*i**2. What is w(r(h))?", "a": "-11308*h**4" }, { "q": "Let q(u) = 2*u**2. Let x = 2 + 123. Let o(b) = x*b - 320*b + 120*b. Calculate q(o(j)).", "a": "11250*j**2" }, { "q": "Let x(q) = 20304093*q**2. Let v(f) = -2*f**2. Determine v(x(k)).", "a": "-824512385105298*k**4" }, { "q": "Let l(v) be the second derivative of v**5/24 + 5*v**4/8 - 2*v**3/3 - 3*v**2/2 + 11*v. Let t(p) be the second derivative of l(p). Let f(a) = -a. Give t(f(y)).", "a": "-5*y + 15" }, { "q": "Let g(o) = 69240*o. Let k(q) = -19*q + 2. Determine k(g(i)).", "a": "-1315560*i + 2" }, { "q": "Let v(m) = -2113*m. Let a(f) = f**2 + 998. What is a(v(r))?", "a": "4464769*r**2 + 998" }, { "q": "Let w(x) be the third derivative of x**4/8 - 1204*x**2 - x. Let c(d) be the first derivative of d**2/2 + 2. Determine c(w(r)).", "a": "3*r" }, { "q": "Let p(a) be the first derivative of 2*a**3/3 - 28*a + 12. Let b(o) = -14*o. Determine b(p(v)).", "a": "-28*v**2 + 392" }, { "q": "Let n(f) be the third derivative of 2*f**4/3 + 21*f**2. Let z(q) be the second derivative of q**3/3 - q. Determine z(n(a)).", "a": "32*a" }, { "q": "Let p(m) = -12*m - 3. Let k(x) = 74*x**2 - 2*x - 21. Determine k(p(v)).", "a": "10656*v**2 + 5352*v + 651" }, { "q": "Let b(m) = 7917815*m**2. Let s(r) = -3*r**2. Determine b(s(k)).", "a": "71260335*k**4" }, { "q": "Let n(h) = 2*h - 5. Let b be n(5). Let s(t) = -739 + 739 - b*t**2. Let v(j) = -4*j. Calculate s(v(f)).", "a": "-80*f**2" }, { "q": "Let c(o) = 13*o. Let j(p) = -4*p**2 + 4. Let b = -142 - -141. Let l(x) = x**2 + 2. Let k(m) = b*j(m) + 2*l(m). Give k(c(t)).", "a": "1014*t**2" }, { "q": "Let s(u) = 2530058*u. Let z(b) = b. What is z(s(p))?", "a": "2530058*p" }, { "q": "Let a(d) = -7*d + 10. Let f = 73 + -68. Let z(o) = -8*o + 12. Let l(v) = f*z(v) - 6*a(v). Let p(g) = -2*g**2. Calculate l(p(c)).", "a": "-4*c**2" }, { "q": "Let o(m) = 243*m. Let s(w) = -672*w. Calculate s(o(k)).", "a": "-163296*k" }, { "q": "Let h(n) = 99*n**2. Let v(q) = -31425 + 17*q + 31425. Give v(h(d)).", "a": "1683*d**2" }, { "q": "Let w(u) = -14*u - 4. Let n(y) = 3*y**2 + 4*y + 1. Let s(v) = 17*v**2 + 24*v + 6. Let a(q) = -6*n(q) + s(q). What is w(a(l))?", "a": "14*l**2 - 4" }, { "q": "Let d(m) = 2*m**2 + 20. Let i(u) = -2*u**2 - u + 4362. What is i(d(t))?", "a": "-8*t**4 - 162*t**2 + 3542" }, { "q": "Let b(z) = 14*z. Let g(f) = -363354*f. Give b(g(n)).", "a": "-5086956*n" }, { "q": "Suppose -2982 = -4*h + a, -2*h - 3724 = -7*h + 3*a. Let w(s) = 403*s + 426*s - h*s. Let y(b) = 2*b. Determine w(y(p)).", "a": "166*p" }, { "q": "Let h(r) = -2*r. Let n(o) = 123605*o + 12. Determine n(h(y)).", "a": "-247210*y + 12" }, { "q": "Let p(j) = j. Let f = -2 - -27. Let x = 29 - f. Let c(y) = x*y**2 - 8*y**2 - y**2 + 3*y**2. Calculate p(c(b)).", "a": "-2*b**2" }, { "q": "Let c(j) = -3*j**2 + 744919*j. Let r(t) = 8*t. What is c(r(u))?", "a": "-192*u**2 + 5959352*u" }, { "q": "Let z(p) = 258*p**2. Let b(c) = -c**2 + 2544. Determine b(z(g)).", "a": "-66564*g**4 + 2544" }, { "q": "Let a(h) = -23*h**2. Let s(d) = -26*d**2 - 1402. Determine s(a(r)).", "a": "-13754*r**4 - 1402" }, { "q": "Let r(b) = 2*b. Let o(i) = 1252*i**2 - 6. Let p(c) = 1258*c**2 - 5. Let k(a) = -5*o(a) + 6*p(a). What is k(r(s))?", "a": "5152*s**2" }, { "q": "Let f(u) = 6*u**2 - 2*u - 926. Let g(h) = 12*h**2. Give f(g(y)).", "a": "864*y**4 - 24*y**2 - 926" }, { "q": "Let q(a) be the third derivative of a**5/15 - a**3 + 2*a**2. Let n(r) be the first derivative of q(r). Let w(p) = -13*p**2 - 3*p**2 + 13*p**2. What is w(n(s))?", "a": "-192*s**2" }, { "q": "Let n(s) be the third derivative of s**7/1260 + 11*s**4/4 + 41*s**2. Let d(a) be the second derivative of n(a). Let b(w) = 2*w + 144. What is d(b(f))?", "a": "8*f**2 + 1152*f + 41472" }, { "q": "Let s(a) = 34*a**2 + 17*a - 1603. Let h(d) = d**2. Determine s(h(l)).", "a": "34*l**4 + 17*l**2 - 1603" }, { "q": "Let u(i) = i + 51. Let v = 11 + -9. Let p(f) = 12*f + 0*f + v*f**2 - 12*f. Determine u(p(m)).", "a": "2*m**2 + 51" }, { "q": "Let p be (-26)/117 + 137/9. Let l(h) = 33*h - p*h + 7*h + 37*h. Let m(s) = -2*s. Determine l(m(a)).", "a": "-124*a" }, { "q": "Let g(n) = -6*n. Let l(z) = 5*z. Let x(k) = -4*g(k) - 5*l(k). Let d(r) = -6677*r**2 - 4*r + 6594*r**2 + 5*r. What is x(d(j))?", "a": "83*j**2 - j" }, { "q": "Let a(x) = -512505*x. Let h(c) = c. What is h(a(i))?", "a": "-512505*i" }, { "q": "Let u(z) = 10*z**2 - 5. Let v(q) = -5*q**2 + 2. Let c(o) = 4*u(o) + 10*v(o). Suppose -3*n - 37 = -49. Let w(y) = -171 + 171 - n*y. What is w(c(k))?", "a": "40*k**2" }, { "q": "Let m(c) = -151*c. Let y(x) = -34 - 148*x**2 + 34 + 145*x**2. Give y(m(p)).", "a": "-68403*p**2" }, { "q": "Let d = 1 - -441. Let j(k) = d - 442 + k. Let o(g) = -4 + 6 - 2 - 8*g. Give o(j(b)).", "a": "-8*b" }, { "q": "Let v(n) = 125*n**2 - 128*n**2 + 2647 - 2647. Let l(t) = 16*t + 4. What is l(v(j))?", "a": "-48*j**2 + 4" }, { "q": "Let m(k) be the third derivative of -101*k**5/20 - k**4/8 - 3*k**2 - 102*k. Let i(y) = -y**2. What is m(i(d))?", "a": "-303*d**4 + 3*d**2" }, { "q": "Let i(j) = -2*j. Let t(z) = 21*z - 2. Let x(f) = -56*f + 7. Let g(l) = 14*t(l) + 5*x(l). Determine g(i(o)).", "a": "-28*o + 7" }, { "q": "Let q(f) = 157*f. Let n(u) = u + 1. Let s(z) = 13*z + 11. Let p(a) = 11*a + 9. Let c(k) = -3*p(k) + 2*s(k). Let h(x) = -c(x) - 5*n(x). Give q(h(g)).", "a": "314*g" }, { "q": "Let i(k) = -k - 7*k - 27*k + 16*k - 9*k. Let y(j) = 4*j**2. Give y(i(v)).", "a": "3136*v**2" }, { "q": "Let w(a) be the third derivative of 25/24*a**4 + 0 + 2*a + 0*a**3 + 6*a**2. Let g(f) = 3*f. Determine g(w(q)).", "a": "75*q" }, { "q": "Suppose 2*c - 15 = -3*c. Suppose 10 = 5*h, c*v = 8*v + h - 12. Let s(p) = p - v*p - 3*p - 2*p. Let f(a) = 4*a. What is s(f(u))?", "a": "-24*u" }, { "q": "Let j(f) = -5*f**2. Let w(t) = 1074972*t. Calculate w(j(x)).", "a": "-5374860*x**2" }, { "q": "Let p(f) = -320*f**2 + 2*f - 721. Let i(x) = -x**2. Determine p(i(k)).", "a": "-320*k**4 - 2*k**2 - 721" }, { "q": "Let r(k) = -13*k**2. Let n(h) be the second derivative of h**7/504 - 9*h**4/4 + h + 5. Let a(x) be the third derivative of n(x). Give r(a(m)).", "a": "-325*m**4" }, { "q": "Suppose 0 = c - 6*o + 7*o - 6, -15 = -5*o. Let a(h) = -h**2 - 1234 + c*h**2 + 1234. Let r(y) = -2*y**2 - 1. Determine r(a(z)).", "a": "-8*z**4 - 1" }, { "q": "Let x(h) be the second derivative of h + 0*h**3 + 0 + 0*h**2 + 1/6*h**4. Let c(z) = 1066*z**2 - 342*z**2 - 363*z**2 - 364*z**2. Determine x(c(v)).", "a": "18*v**4" }, { "q": "Let c(v) = 8*v**2. Let d(o) = 18 + 20 + 26 - 61. Let k(n) = n + 5. Let a(l) = 10*d(l) - 6*k(l). Give c(a(g)).", "a": "288*g**2" }, { "q": "Let f(c) = -18*c. Let t(d) = d**2 - 590*d - 159. Give f(t(j)).", "a": "-18*j**2 + 10620*j + 2862" }, { "q": "Let h(c) = c**2 + c + 1. Let d(r) = -r - 1. Let v be (-1 + 2 + -3)*1. Let q(x) = v*h(x) - 2*d(x). Let s(a) = 310 - 146 - 164 - 7*a. Give q(s(o)).", "a": "-98*o**2" }, { "q": "Let g(x) be the second derivative of 0*x**3 - 2*x + 0*x**2 + 31 - 13/3*x**4. Let k(c) = 2*c**2. What is g(k(h))?", "a": "-208*h**4" }, { "q": "Let w(y) = 135*y**2. Let c(f) = 6725*f**2. Determine c(w(m)).", "a": "122563125*m**4" }, { "q": "Let p(b) = -5*b**2 - 1. Let x(m) = -7*m. Let z(o) = 43*o. Let k(y) = 2*x(y) + z(y). Calculate k(p(l)).", "a": "-145*l**2 - 29" }, { "q": "Let t(m) = -4*m**2. Let r(w) = -716870*w + 4. What is r(t(n))?", "a": "2867480*n**2 + 4" }, { "q": "Let n(q) be the third derivative of -13*q**5/60 + 334*q**2 + 3. Let x(r) = 40*r**2 - 1. Give n(x(f)).", "a": "-20800*f**4 + 1040*f**2 - 13" }, { "q": "Let j(a) = -2*a. Suppose -3*x - 5*g + 51960 = -0*x, -4*x = -4*g - 69280. Let n(q) = x + 6*q - 17320. Determine j(n(c)).", "a": "-12*c" }, { "q": "Let w(l) be the first derivative of 370*l**3 + 957. Let m(c) = 2*c**2. Give m(w(f)).", "a": "2464200*f**4" }, { "q": "Let v(g) = 284359*g. Let q(k) = -k - 14. Determine q(v(l)).", "a": "-284359*l - 14" }, { "q": "Let v(k) = -16*k**2. Let q(d) = -11*d + 1. Let y(o) = 224*o - 24. Let m(t) = -20*q(t) - y(t). What is v(m(r))?", "a": "-256*r**2 + 512*r - 256" }, { "q": "Let l(i) = -i**2. Let n(q) = 17920*q + 1040. Let f(r) = -206*r - 12. Let u(v) = 520*f(v) + 6*n(v). Determine u(l(x)).", "a": "-400*x**2" }, { "q": "Let p(x) = -87918*x. Let q(n) = -79*n**2. Determine p(q(c)).", "a": "6945522*c**2" }, { "q": "Let j(v) = v**3 + 5*v**2 - 16*v - 9. Let r be j(-7). Let k(o) = -17*o - 4*o + 4*o + r*o. Let g(q) = -3*q. Give g(k(l)).", "a": "36*l" }, { "q": "Let h(n) = -4*n**2. Let p(s) = 925980*s**2. What is p(h(j))?", "a": "14815680*j**4" }, { "q": "Let c(z) = 2*z**2. Let t(j) = 364253*j**2 + j + 3. Give t(c(p)).", "a": "1457012*p**4 + 2*p**2 + 3" }, { "q": "Let a(f) = -182*f. Let h(m) = -328*m**2 + 20*m. Determine a(h(g)).", "a": "59696*g**2 - 3640*g" }, { "q": "Let g(w) be the third derivative of -w**7/5040 - 17*w**5/20 - 13*w**2. Let s(j) be the third derivative of g(j). Let b(n) = -6 + 35*n + 6. Give b(s(m)).", "a": "-35*m" }, { "q": "Let d(g) = 24*g**2. Let p(f) be the third derivative of 71*f**5/60 - 325*f**2. Determine p(d(v)).", "a": "40896*v**4" }, { "q": "Let g(z) = -z + z - 2*z**2. Let a(v) be the second derivative of -8*v**3/3 - 13110*v. Give a(g(t)).", "a": "32*t**2" }, { "q": "Suppose 5*w - 3*v - 18 = 0, 4*w + 3*v = 2*w + 3. Let r(j) = -2*j - 2*j - w + 7 - 7. Let l(q) = -q. Determine r(l(s)).", "a": "4*s - 3" }, { "q": "Let x(d) = -4978*d**2. Let l(h) = -170*h**2 + h. Give l(x(o)).", "a": "-4212682280*o**4 - 4978*o**2" }, { "q": "Suppose -4*h = -1 + 21, 5*h = 2*o - 29. Let s(y) = -3*y**2 + 0*y**2 + 11*y**o - 6*y**2. Let i(b) = -113*b. What is i(s(l))?", "a": "-226*l**2" }, { "q": "Let f(h) = 4400389*h**2 - 2*h. Let z(s) = -s. Calculate z(f(n)).", "a": "-4400389*n**2 + 2*n" }, { "q": "Let w(q) = -q**2 - 5*q**2 + 4*q**2. Let y(d) = -164841 - 164837 - 86*d + 329678. Determine w(y(m)).", "a": "-14792*m**2" }, { "q": "Let n(b) = 2015*b**2. Let q(x) be the first derivative of -x**3/3 - 1166. Calculate q(n(z)).", "a": "-4060225*z**4" }, { "q": "Let i(f) = 54*f**2 + 536*f. Let m(o) = 132*o. Determine m(i(b)).", "a": "7128*b**2 + 70752*b" }, { "q": "Let n(y) = 27*y**2. Let z(t) = 31*t**2 - 5*t - 10. Let m(v) = -16*v**2 + 3*v + 6. Let c(i) = -5*m(i) - 3*z(i). Give n(c(a)).", "a": "4563*a**4" }, { "q": "Let g(y) be the third derivative of y**4/3 + 1073*y**2. Let w(l) = 13*l + 2. Let f(q) = 53*q + 9. Let t(u) = -2*f(u) + 9*w(u). Give g(t(k)).", "a": "88*k" }, { "q": "Let g(w) be the third derivative of 0*w + 0*w**3 + 0 - 23/24*w**4 - 33*w**2. Let v(z) = -3*z**2. Give g(v(d)).", "a": "69*d**2" }, { "q": "Let h(g) = -3163*g**2. Let v(x) = -6*x - 1366 + 1366 + 8*x - 3*x. Determine h(v(s)).", "a": "-3163*s**2" }, { "q": "Let p(c) = 3*c**2. Let a(l) = 7*l**2 + 64*l**2 - 72*l**2. Determine a(p(s)).", "a": "-9*s**4" }, { "q": "Let i(k) = 23*k**2 + 11*k + 9. Let y(d) = -d + 636. Calculate i(y(l)).", "a": "23*l**2 - 29267*l + 9310413" }, { "q": "Let b(o) = -36*o**2 - 192 - 15*o**2 + 192. Let y(j) = j**2 - j + 4. Let v(h) = 8*h**2 - 6*h + 24. Let z(w) = -v(w) + 6*y(w). Calculate z(b(k)).", "a": "-5202*k**4" }, { "q": "Let c(x) = -x**2. Let n(s) = -134836*s - 14. Determine n(c(g)).", "a": "134836*g**2 - 14" }, { "q": "Let u(p) = -2*p**2. Suppose 8*k + 8 - 48 = 0. Let n be (k - (3 - 4)) + 3. Let i(c) = 13*c - 18*c + n*c. What is i(u(r))?", "a": "-8*r**2" }, { "q": "Let g(q) = -q**2 - 7*q**2 + 5*q**2 + 4*q**2. Let t(z) = 304*z. What is t(g(p))?", "a": "304*p**2" }, { "q": "Let b(p) = p. Let i(l) be the first derivative of 7*l**4/4 - 15*l**2/2 + 52. Let t(s) be the second derivative of i(s). Determine b(t(g)).", "a": "42*g" }, { "q": "Let o(d) = -300*d - 2 + 2 + 76*d + 106*d. Let t(v) = -2*v**2. Give o(t(p)).", "a": "236*p**2" }, { "q": "Let k(g) = -11*g**2 - 5*g - 2. Let n(h) = -742*h. Calculate k(n(y)).", "a": "-6056204*y**2 + 3710*y - 2" }, { "q": "Let v(c) = 16*c - 96. Let g be v(-5). Let a(n) = -14*n. Let q(b) = -408*b. Let m(j) = g*a(j) + 6*q(j). Let r(u) = -4*u**2. What is m(r(k))?", "a": "-64*k**2" }, { "q": "Let g(t) = 360*t**2. Let r(s) = 21155*s. What is r(g(b))?", "a": "7615800*b**2" }, { "q": "Let n(o) = o. Let p(b) = 15*b - 2. Let c(z) = -45*z + 6. Let g(i) = -3*c(i) - 8*p(i). Let u(l) = 2*l - 1. Let v(h) = -g(h) + 3*u(h). Calculate v(n(k)).", "a": "-9*k - 1" }, { "q": "Let l(k) = -60*k - 1132. Let t(c) = 2*c. Calculate l(t(n)).", "a": "-120*n - 1132" }, { "q": "Let j(g) = -2*g**2. Let o(h) be the first derivative of -15 + 35/6*h**3 + 0*h**2 - 8*h. Let n(v) be the first derivative of o(v). Calculate n(j(b)).", "a": "-70*b**2" }, { "q": "Let s(d) = 8333*d. Let a(u) = 1077*u**2. Determine s(a(b)).", "a": "8974641*b**2" }, { "q": "Let w(l) = -3*l**2 - 168. Let r(p) = 902*p - 228*p - 228*p - 224*p - 221*p. Give r(w(z)).", "a": "-3*z**2 - 168" }, { "q": "Let u(q) be the first derivative of -q**2/2 - 811. Let j(i) = -3*i + 88. Give u(j(n)).", "a": "3*n - 88" }, { "q": "Let r(c) = 89*c**2. Let w(h) = 16*h**2 + 2*h. Let f(x) = 25*x**2 + 3*x. Let t(p) = 4*f(p) - 6*w(p). Calculate t(r(v)).", "a": "31684*v**4" }, { "q": "Let d be 4*(-2196)/(-21) + (-4)/14. Let o(j) = j + d - 418. Let s(u) = -18*u**2. Determine o(s(v)).", "a": "-18*v**2" }, { "q": "Let t(k) = 81*k**2 - 165*k**2 + 86*k**2. Let i(s) be the first derivative of 29*s**4/12 - s - 1. Let y(w) be the first derivative of i(w). Calculate t(y(v)).", "a": "1682*v**4" }, { "q": "Let o(l) = 4*l. Let a(c) = 25 - 63*c + 97*c + 87*c - 16 - 10. Calculate a(o(d)).", "a": "484*d - 1" }, { "q": "Let f(j) = 239*j - 3988 - 167*j + 3988 - 1158*j. Let q(d) = 2*d**2. Calculate f(q(o)).", "a": "-2172*o**2" }, { "q": "Let i(f) be the third derivative of -f**5/60 + f**2 + f. Let z(x) = 14 - 3*x**2 - 10*x**2 - 15 - 10*x**2. Calculate i(z(g)).", "a": "-529*g**4 - 46*g**2 - 1" }, { "q": "Let k(o) = -2111*o**2 + 2*o + 2. Let w(b) = 5*b. Determine w(k(y)).", "a": "-10555*y**2 + 10*y + 10" }, { "q": "Let m(f) = 64*f + 1. Let c(a) = 13*a**2 - 19*a**2 + 12*a - 12*a. Calculate c(m(l)).", "a": "-24576*l**2 - 768*l - 6" }, { "q": "Let s(b) = 3*b. Let y(q) = 223617*q**2 - 5*q + 2. Give y(s(n)).", "a": "2012553*n**2 - 15*n + 2" }, { "q": "Let z(b) be the first derivative of 12 + 1 - 7 + b**3. Let y(l) = -l**2 + 1. What is y(z(w))?", "a": "-9*w**4 + 1" }, { "q": "Let l(m) = 7*m + 3. Let a(y) = -63*y - 28. Let c(j) = 3*a(j) + 28*l(j). Let z(d) be the third derivative of 3*d**5/20 - 2626*d**2 - 3*d. Determine z(c(x)).", "a": "441*x**2" }, { "q": "Let m(g) = 76*g**2 - 37*g**2 + 6 - 25*g**2 - 27*g**2. Let u(c) = -15*c**2 + 7. Let z(p) = -7*m(p) + 6*u(p). Let h(i) = -22*i. What is h(z(n))?", "a": "-22*n**2" }, { "q": "Let y(x) be the first derivative of 4*x**2 - 220*x + 23 + 220*x. Let r(w) = 4*w**2. Determine y(r(q)).", "a": "32*q**2" }, { "q": "Suppose 4*w - 16 = -44. Let p(j) = -5*j**2 + 6*j. Let m(i) = -6*i**2 + 7*i. Let n(r) = w*p(r) + 6*m(r). Let f(x) = 14*x - 2*x + 4*x + x. Determine f(n(g)).", "a": "-17*g**2" }, { "q": "Let o(s) = -s**2. Let f(m) be the first derivative of -m**2 - 95*m + 837. Calculate f(o(b)).", "a": "2*b**2 - 95" }, { "q": "Let w(g) be the first derivative of 22*g**3/3 + 11. Let y(q) be the first derivative of 15 + 1/2*q**2 + 0*q. Determine w(y(b)).", "a": "22*b**2" }, { "q": "Let m(c) = 2*c. Suppose -6 = -i + 3*i, -4*i - 7 = a. Let q(l) = -12*l**2 + 2*l + 2. Let s(z) = 2*z**2 - z - 1. Let b(o) = a*q(o) + 10*s(o). What is b(m(n))?", "a": "-160*n**2" }, { "q": "Let x(k) = 307*k. Let w(z) = -24804*z. Give w(x(m)).", "a": "-7614828*m" }, { "q": "Let z be 2*9/(-24)*-4. Suppose -3414 = -0*o - z*o. Let y(l) = 1138 - o + 2*l. Let b(f) = -4*f**2. Determine b(y(g)).", "a": "-16*g**2" }, { "q": "Let b(c) = 52*c**2. Let z(n) = -2*n**2 - 2*n + 38640. Determine z(b(q)).", "a": "-5408*q**4 - 104*q**2 + 38640" }, { "q": "Let b(t) = 2*t**2. Let d = -1329 - -1329. Let c(m) be the second derivative of 0 + 0*m**3 + d*m**2 + 2*m + 13/6*m**4. What is c(b(r))?", "a": "104*r**4" }, { "q": "Let s(h) = 40*h**2 - 3. Let o(x) = 64*x. Let u(n) = 154*n. Let d(q) = 12*o(q) - 5*u(q). Calculate s(d(z)).", "a": "160*z**2 - 3" }, { "q": "Let m(u) = -4*u - 3. Let b(a) = 5*a**2 + a**2 + 11*a - 4*a - 7*a. Give m(b(x)).", "a": "-24*x**2 - 3" }, { "q": "Let x(l) be the first derivative of 4*l**3/3 - 324. Let m(o) = -140*o**2. What is x(m(v))?", "a": "78400*v**4" }, { "q": "Let s(d) = -5*d**2. Let q(m) be the second derivative of -18*m - 1 - 13/6*m**3 + 0*m**2. Give s(q(x)).", "a": "-845*x**2" }, { "q": "Let n(h) = 65*h - 110*h + 50*h. Let k(a) = 28*a. What is n(k(m))?", "a": "140*m" }, { "q": "Let s(z) = -2*z + 6. Let w(y) = 12*y. Let j be 4/18 + (-799)/153. Let l(d) = -17*d. Let h(m) = j*l(m) - 7*w(m). What is h(s(p))?", "a": "-2*p + 6" }, { "q": "Let d(k) = 1512475*k. Let z(x) = 3*x**2. Determine d(z(s)).", "a": "4537425*s**2" }, { "q": "Let x(t) be the second derivative of 36 + 2*t + 5/6*t**3 + 0*t**2. Let d(g) = 16*g**2. Determine d(x(l)).", "a": "400*l**2" }, { "q": "Let p(q) be the second derivative of -7*q**4/6 - 1876*q. Let u(f) = 0*f**2 + 10*f**2 - f**2. Give u(p(n)).", "a": "1764*n**4" }, { "q": "Let a(b) = 596*b - 158*b - 157*b - 151*b - 132*b. Let t(p) = -5*p - 18. Let h(g) = -g - 1. Let i(s) = -6*h(s) + t(s). Determine i(a(w)).", "a": "-2*w - 12" }, { "q": "Let z(q) = -120*q**2 + 21927. Let r(v) = 2*v. Give z(r(t)).", "a": "-480*t**2 + 21927" }, { "q": "Let s(g) = 5*g - 2*g - 2*g. Suppose d = 3*m + 6, -d + 6 = 23*m - 18*m. Let n(u) = -u**2 + d*u**2 + 13*u**2. Give n(s(b)).", "a": "18*b**2" }, { "q": "Let m(s) be the first derivative of -2*s**3/3 + 1518. Let p(y) = 88*y - 3. Calculate m(p(z)).", "a": "-15488*z**2 + 1056*z - 18" }, { "q": "Let k(d) = 475*d. Let q(h) = 16436*h. Give k(q(s)).", "a": "7807100*s" }, { "q": "Let k(s) = 12*s**2. Suppose 0 = -6*d + 15 - 3. Let b(h) = d*h - 5*h - 5*h. Calculate k(b(u)).", "a": "768*u**2" }, { "q": "Let l(h) = -36*h. Let b be (-18)/(-6) + 1/((-1)/1). Let a(t) = 12*t - 14*t - b*t. Determine l(a(o)).", "a": "144*o" }, { "q": "Let h(a) = -2*a. Let u(t) be the third derivative of t**4 - 4*t**3/3 - 47*t**2 + 1. Let y(q) = -2 + 7 + 0 - 16*q. Let b(r) = -5*u(r) - 8*y(r). What is h(b(d))?", "a": "-16*d" }, { "q": "Let r(p) = 5565*p. Let f(k) = -803*k. Calculate f(r(c)).", "a": "-4468695*c" }, { "q": "Let n(a) = -49*a**2 - 145*a - 2. Let v(l) = 26*l**2. What is n(v(t))?", "a": "-33124*t**4 - 3770*t**2 - 2" }, { "q": "Let b(f) = 4*f**2 + 14*f. Let u(j) = 23*j**2 + 2. Let i(x) = 372*x**2 + 33. Let d(s) = -4*i(s) + 66*u(s). Calculate b(d(h)).", "a": "3600*h**4 + 420*h**2" }, { "q": "Let d(h) = h**2. Let c be 149/5 - 1/(-5). Suppose 0 = c*q - 35*q + 10. Let j(i) = 5*i**2 - 5*i**q + 5*i**2. Give d(j(s)).", "a": "25*s**4" }, { "q": "Let s(f) = -159*f**2. Let a(w) = -47045*w. Calculate a(s(n)).", "a": "7480155*n**2" }, { "q": "Let b(f) = -35*f**2 - 4. Let k(x) be the first derivative of -x**3/3 + 686. Calculate b(k(j)).", "a": "-35*j**4 - 4" }, { "q": "Let y(f) = -27*f + 8. Let l(u) = 675120 - 675120 + 2*u**2. Calculate y(l(t)).", "a": "-54*t**2 + 8" }, { "q": "Let k(t) be the third derivative of t**4/24 - 17*t**3/3 - 2*t**2 + 10. Let w(j) = -8*j**2. Calculate w(k(c)).", "a": "-8*c**2 + 544*c - 9248" }, { "q": "Let i(q) = -2*q**2. Let j(m) = -291*m**2 + 4*m - 8. Let v(d) = -146083*d**2 + 2009*d - 4018. Let a(n) = -2009*j(n) + 4*v(n). Calculate i(a(f)).", "a": "-164738*f**4" }, { "q": "Let x(o) = -o**3 + 6*o**2 + 6*o + 10. Let k be x(7). Let j(l) be the first derivative of -1 + 3 - 3 + l**k. Let z(q) = -q. What is z(j(g))?", "a": "-3*g**2" }, { "q": "Let z(a) = 46*a - 187426. Let f(p) = -2*p. Determine z(f(l)).", "a": "-92*l - 187426" }, { "q": "Let z = -4 - -9. Let n(b) = b + b + z*b + 8*b. Let i(g) = g - 2*g + 3*g. What is i(n(f))?", "a": "30*f" }, { "q": "Let p(h) = -3*h. Let n(o) be the second derivative of o + 0*o**3 + 1/3*o**4 + 0*o**2 - 8. Calculate n(p(s)).", "a": "36*s**2" }, { "q": "Let t(a) = 384266*a. Let k(l) = -41*l**2. Calculate k(t(b)).", "a": "-6054074708996*b**2" }, { "q": "Let k(d) = -4*d**2 + 65839*d. Let b(t) = -20*t. Give k(b(p)).", "a": "-1600*p**2 - 1316780*p" }, { "q": "Let x(y) = -8*y**2 + 5968*y - 5. Let g(o) = 6*o. What is g(x(p))?", "a": "-48*p**2 + 35808*p - 30" }, { "q": "Let f(i) = -9*i**2. Let p be 1*(-3)/(-2 + 3). Let a be (-10)/8 - 2/(-8) - p. Let w(j) = -5*j**2 + 0*j**a + 3*j**2. What is w(f(h))?", "a": "-162*h**4" }, { "q": "Let o(i) = 9*i**2 - 6*i**2 - 2*i**2 + 3*i**2 - 3*i**2. Let s(v) = 10 - 3 + v**2 + v**2 - 2. Calculate s(o(d)).", "a": "2*d**4 + 5" }, { "q": "Let g(f) = -3*f - 2*f + 4*f. Let j(w) be the third derivative of w**4/8 - 5*w**3/6 + w**2 + 5*w. Let c(a) = -2*a + 4. Let i(r) = 5*c(r) + 4*j(r). Give g(i(s)).", "a": "-2*s" }, { "q": "Let a(x) = -10*x. Let n(l) = -24132*l. Calculate n(a(i)).", "a": "241320*i" }, { "q": "Let t(g) = 13*g - 3*g - 7*g. Let f(d) = -2 + 2 - 4678*d + 4689*d. Determine t(f(o)).", "a": "33*o" }, { "q": "Let v(a) = 28*a**2 - 9556. Let l(m) = m. Calculate l(v(t)).", "a": "28*t**2 - 9556" }, { "q": "Let x(z) = -z + 14. Let a be x(10). Suppose 0 = a*h + 4*h - 16. Let u(w) = 4*w**2 - 4 + 4 - w**h. Let s(g) = -2*g. Determine u(s(f)).", "a": "12*f**2" }, { "q": "Let q(d) = -2*d - 2. Suppose 9*a + 31 = 310. Let c(l) = 31*l - 61*l + a*l. Determine c(q(i)).", "a": "-2*i - 2" }, { "q": "Let m(a) be the second derivative of a**3/6 + 1663*a. Let h(c) = 2726*c**2. Determine m(h(v)).", "a": "2726*v**2" }, { "q": "Let o(x) be the second derivative of -x**3/6 + x + 290. Let a(b) = -8*b**2 + 97. What is o(a(d))?", "a": "8*d**2 - 97" }, { "q": "Let w(o) = 193*o**2 - 2*o. Let u(p) = -2635*p. Calculate u(w(d)).", "a": "-508555*d**2 + 5270*d" }, { "q": "Let i(y) = -14*y**2 - 5*y. Let j(u) = 7*u**2 + 2*u. Let n(a) = 2*i(a) + 5*j(a). Let s(q) = -48*q - 6*q - 12*q + 62*q. Determine s(n(d)).", "a": "-28*d**2" }, { "q": "Let i(t) = -358*t**2 - 6*t - 18. Let z(q) = 1434*q**2 + 25*q + 75. Let f(c) = 25*i(c) + 6*z(c). Let r(o) = -3*o. Determine r(f(u)).", "a": "1038*u**2" }, { "q": "Let x(m) be the first derivative of -4*m**3 + 1. Let u be (-2772)/(-55) - 2/5. Let t(k) = -k**2 - u + 73 - 23. Give x(t(q)).", "a": "-12*q**4" }, { "q": "Let v(n) = 2*n. Let z(h) = -3817333*h**2. Give z(v(m)).", "a": "-15269332*m**2" }, { "q": "Let z(t) = 27*t - 23 + 1 - 45*t - 6. Let c(g) = 2*g. Calculate c(z(p)).", "a": "-36*p - 56" }, { "q": "Let n(i) = 19*i. Let b(s) = 16*s. Let d(m) = -6*b(m) + 5*n(m). Let g(r) = -57*r + 1. Determine d(g(l)).", "a": "57*l - 1" }, { "q": "Let n(v) = 49*v**2 - 214*v. Let c(g) = 52*g. Calculate n(c(k)).", "a": "132496*k**2 - 11128*k" }, { "q": "Let p = 2 + 10. Let h be (-3 - (-40)/p)*177. Let l(v) = 28*v + 26*v - h*v. Let r(s) = -2*s**2. What is l(r(t))?", "a": "10*t**2" }, { "q": "Let o(t) = t**2 - 6*t - 22. Let q be o(-3). Let p(b) = 7*b + b - 16*b + q*b. Let w(r) = -17*r. Give w(p(l)).", "a": "51*l" }, { "q": "Let c(r) = -9*r + 6. Let m(x) = 8*x - 8*x + x - 1. Let w(f) = -c(f) - 6*m(f). Let n(j) = j**2 + 17*j. Determine n(w(a)).", "a": "9*a**2 + 51*a" }, { "q": "Let z(m) = 4*m. Let y(p) = 1925*p**2 + 8. What is z(y(s))?", "a": "7700*s**2 + 32" }, { "q": "Let f(t) = t**2. Let h(g) = 24065239*g. Calculate f(h(i)).", "a": "579135728127121*i**2" }, { "q": "Let p(q) = 100 + 89*q**2 - 198 + 98 - 56*q**2. Let v(x) = 46*x. Give p(v(l)).", "a": "69828*l**2" }, { "q": "Let m(l) = -76*l + 3. Let q(g) = 203*g - 8. Let r(b) = 8*m(b) + 3*q(b). Let u(j) = -1976*j**2. Determine r(u(v)).", "a": "-1976*v**2" }, { "q": "Let p(v) = -4275*v. Let s(n) = 329*n. Let a(f) = -2*p(f) - 27*s(f). Let h(x) = 2*x. Give h(a(l)).", "a": "-666*l" }, { "q": "Let c(k) = -10*k**2 - 16*k. Let m(q) = -3*q**2 - 2*q. Let l(o) = -c(o) + 8*m(o). Let v(s) = -28*s**2 - 2. Calculate l(v(b)).", "a": "-10976*b**4 - 1568*b**2 - 56" }, { "q": "Let k(b) = 0*b**2 + 10*b**2 + 0*b**2. Let f(n) be the first derivative of -3*n**2 - 6646. Calculate f(k(x)).", "a": "-60*x**2" }, { "q": "Let l(s) = -71*s**2 - 63*s**2 + 129*s**2. Let v(y) be the second derivative of y**4/6 - 2*y - 41. Determine v(l(z)).", "a": "50*z**4" }, { "q": "Let r(c) = 538*c. Let v(t) = -19985*t. Give r(v(s)).", "a": "-10751930*s" }, { "q": "Let q(s) = -3*s + 12. Let z(k) = 5394*k + 2. Calculate z(q(p)).", "a": "-16182*p + 64730" }, { "q": "Let m(b) = 4*b - 10*b**2 - 4*b + 62*b**2 - 131*b**2 - 2. Let t(r) = r. Give m(t(z)).", "a": "-79*z**2 - 2" }, { "q": "Suppose f - 14 = -3*c, 8*f - 8 = 10*f - 3*c. Let y(n) = -n**2 - 6*n**2 + 4*n**f - 10*n**2 - 3*n. Let r(b) = -2*b. Calculate y(r(i)).", "a": "-52*i**2 + 6*i" }, { "q": "Let z(a) = -289*a. Let m(u) = -2567*u**2. What is m(z(g))?", "a": "-214398407*g**2" }, { "q": "Let h(p) = 21*p**2 - 27*p. Let w(f) = -4825*f. Calculate w(h(c)).", "a": "-101325*c**2 + 130275*c" }, { "q": "Let l(d) be the third derivative of 4*d**4/3 - 1208*d**2. Let f(a) = 21*a. What is l(f(u))?", "a": "672*u" }, { "q": "Let f(k) = -327045*k. Let d(n) = -2*n. What is f(d(y))?", "a": "654090*y" }, { "q": "Let c(r) = 55*r**2 - 13. Let l(q) = -62*q**2 - 12*q - 48. Let f(h) = -26*h**2 - 5*h - 20. Let a(u) = -12*f(u) + 5*l(u). Calculate a(c(z)).", "a": "6050*z**4 - 2860*z**2 + 338" }, { "q": "Let n(c) be the first derivative of 13*c**3/3 - 7825. Let m(q) be the third derivative of -q**4/4 + q**2. What is m(n(j))?", "a": "-78*j**2" }, { "q": "Suppose 0 = -24*u + 21*u + 15. Let w(x) = 6*x - 4. Let a(v) = -v - 1. Let i(p) = u*a(p) - w(p). Let b(g) = -g. Determine i(b(f)).", "a": "11*f - 1" }, { "q": "Let v(o) be the third derivative of -o**4/12 - 40*o**3/3 + 298*o**2. Let i(x) = 2*x**2. Give i(v(f)).", "a": "8*f**2 + 640*f + 12800" }, { "q": "Let s(a) be the third derivative of 10*a**2 + 1/12*a**4 + 0*a**3 + 0*a + 0. Let m(v) be the second derivative of -5*v**3/6 - 2*v. Give s(m(w)).", "a": "-10*w" }, { "q": "Let v(p) = 14*p**2. Let w(q) = 84881*q. Calculate v(w(r)).", "a": "100866978254*r**2" }, { "q": "Let m(s) = -5*s + 38. Let q(z) = 4*z + 3018. Give q(m(v)).", "a": "-20*v + 3170" }, { "q": "Let l(c) = 44*c**2 - 12*c + 3. Let d(n) = 8*n. Determine d(l(h)).", "a": "352*h**2 - 96*h + 24" }, { "q": "Let m(i) = -15*i**2. Let f = -11 + 13. Let v(l) = -12*l**f + 14*l**2 - l + l. Calculate m(v(w)).", "a": "-60*w**4" }, { "q": "Let r(t) = -2*t**2. Let b(x) = -3813986*x**2. Determine b(r(o)).", "a": "-15255944*o**4" }, { "q": "Let g(p) = -8 - 90*p - 20*p + 99*p. Let d(l) = -l. Give g(d(a)).", "a": "11*a - 8" }, { "q": "Let t(s) = 3745*s + 828. Let n(b) = b. Calculate t(n(v)).", "a": "3745*v + 828" }, { "q": "Let t(d) = d. Let m(b) = b**3 - 10*b**2 + 8. Let z be m(10). Let h be 26/8 + -3 + 246/z. Let n(a) = -h*a - 3*a + 6*a. Give n(t(k)).", "a": "-28*k" }, { "q": "Let c(h) = 87*h - 3. Let j(d) = 2*d - 2299790 + 2299790. Determine j(c(n)).", "a": "174*n - 6" }, { "q": "Let q(m) = -1290*m. Let f(d) = -389*d**2. Give f(q(y)).", "a": "-647334900*y**2" }, { "q": "Let x(j) = 408*j**2 + 11. Let f(n) = 1084*n. Determine x(f(u)).", "a": "479422848*u**2 + 11" }, { "q": "Let m(a) = 487*a. Let i(z) = -42*z**2 + 16. Give m(i(q)).", "a": "-20454*q**2 + 7792" }, { "q": "Let g(k) = 434136*k. Let t(d) = -6*d**2. Calculate g(t(w)).", "a": "-2604816*w**2" }, { "q": "Let z(i) be the first derivative of 2*i**3/3 + 157. Let w be (-2 + 6/(-4))*-2. Let f(r) = -16*r - w*r**2 + 16*r. Calculate f(z(u)).", "a": "-28*u**4" }, { "q": "Let j(x) = -5*x. Let c(a) = -86 + 304*a**2 + 51 + 35. Determine j(c(i)).", "a": "-1520*i**2" }, { "q": "Let u(z) = -21*z**2 + 72. Let f(r) = -r**2 + 3. Let j(i) = 24*f(i) - u(i). Let w(d) = d + 357. Calculate w(j(c)).", "a": "-3*c**2 + 357" }, { "q": "Let t(f) = f**2. Let b(g) = 359*g**2 - 186*g**2 - 273*g**2. Calculate b(t(a)).", "a": "-100*a**4" }, { "q": "Let c(x) = -1305*x**2. Let z(a) = -562*a**2 - 569*a**2 + 1130*a**2. What is c(z(v))?", "a": "-1305*v**4" }, { "q": "Let v(j) = -3*j + 2*j - j. Let r(u) be the third derivative of 23*u**6/360 + 19*u**4/12 - 2*u**2. Let p(t) be the second derivative of r(t). Calculate v(p(m)).", "a": "-92*m" }, { "q": "Let d(c) be the first derivative of 0*c + 122/3*c**3 + 0*c**2 - 55. Let w(f) = -f. Determine d(w(k)).", "a": "122*k**2" }, { "q": "Let u(r) = -14*r. Let q(o) = -4*o - 3. Let v(w) = -18*w - 6. Let t(b) = 2*q(b) - v(b). Give t(u(p)).", "a": "-140*p" }, { "q": "Let h(l) = 20*l**2. Let p(d) = -5*d + 4. Let f(v) = 6*v - 5 + 4*v - 5*v. Let r(n) = -4*f(n) - 5*p(n). Calculate r(h(s)).", "a": "100*s**2" }, { "q": "Let v(d) be the second derivative of 13*d + 0*d**2 - 3 - 1/6*d**3. Let u(q) = -73*q**2. Give v(u(t)).", "a": "73*t**2" }, { "q": "Let p(o) = -4*o**2. Let m(v) = 7201244*v. Give p(m(z)).", "a": "-207431660590144*z**2" }, { "q": "Let i(x) = -55*x + 354. Let y(q) = -3*q. Determine i(y(t)).", "a": "165*t + 354" }, { "q": "Let p(w) = 11*w. Let h(t) = t**2 - 8*t + 2. Let y be 9 - ((-2)/4)/(9/(-18)). Let x be h(y). Let v(k) = -11 + x*k**2 + 17 - 6. What is v(p(r))?", "a": "242*r**2" }, { "q": "Let u(a) be the first derivative of a**3/3 - 455. Let c(l) be the third derivative of 0*l**3 + 1/4*l**4 + 0 + 0*l + l**2. Give c(u(g)).", "a": "6*g**2" }, { "q": "Let j(m) = -m + 3*m - m. Let l be 65/40*18 - (-2)/(-8). Let n(k) = -l*k**2 - 18*k**2 + 45*k**2. Determine n(j(p)).", "a": "-2*p**2" }, { "q": "Let c(x) be the second derivative of x**4/2 + 10*x + 6. Let m(k) = 30*k. Give m(c(j)).", "a": "180*j**2" }, { "q": "Let i(u) = 2*u**2 + u - 2257. Let f(y) = -1846*y. Determine f(i(d)).", "a": "-3692*d**2 - 1846*d + 4166422" }, { "q": "Let j(v) = -v. Let a(x) = 331 - 170 - 164 + 22*x. What is a(j(m))?", "a": "-22*m - 3" }, { "q": "Let f(n) = -7*n + 4. Let d(h) be the second derivative of 29*h**4/12 - 2*h - 243. Calculate f(d(p)).", "a": "-203*p**2 + 4" }, { "q": "Let h(l) = -l - 27. Let u(p) = -6. Let c(r) = -4*h(r) + 18*u(r). Let s(y) = -25*y**2 + 11. What is c(s(b))?", "a": "-100*b**2 + 44" }, { "q": "Let j(n) = 54*n**2 - 5. Let t(c) = 54123*c**2. What is j(t(k))?", "a": "158182152966*k**4 - 5" }, { "q": "Let j(c) = 175*c + 14. Let x(b) = 12*b + 1. Let y(q) = -j(q) + 14*x(q). Let f(n) be the first derivative of -5*n**2 + 1. What is f(y(w))?", "a": "70*w" }, { "q": "Let v(k) = -108619 + 2*k + 108619. Let a(y) = -729*y**2 - y. Give v(a(r)).", "a": "-1458*r**2 - 2*r" }, { "q": "Let z(u) = -8*u**2. Let v(d) = 200310*d + 2. Determine v(z(l)).", "a": "-1602480*l**2 + 2" }, { "q": "Let q(y) = -4*y**2 + 5*y**2 - y**2 + 2*y**2. Let l(x) = x**2 + 30*x. Calculate l(q(s)).", "a": "4*s**4 + 60*s**2" }, { "q": "Let k(t) = -177*t**2. Let c(a) = 1237*a. Calculate k(c(u)).", "a": "-270839913*u**2" }, { "q": "Let w(a) be the second derivative of -7*a**3/6 + 165*a. Let z(m) = -69*m. Calculate z(w(g)).", "a": "483*g" }, { "q": "Let p(f) = -44*f**2. Let m(k) = 415 - 16*k - 202 - 213. Give m(p(a)).", "a": "704*a**2" }, { "q": "Let m(g) = -2*g. Let b(l) = 19382462*l. Determine m(b(c)).", "a": "-38764924*c" }, { "q": "Let y(a) = 1521*a + 4*a**2 - 755*a - 766*a - 10*a**2. Let k(d) be the third derivative of -d**2 + 0*d + 0*d**3 + 0*d**4 + 0 + 1/20*d**5. Give y(k(s)).", "a": "-54*s**4" }, { "q": "Let y(z) = -z**2. Let m(l) = -460*l**2 + 20*l - 5. Let s(p) = -14720*p**2 + 644*p - 161. Let j(d) = -161*m(d) + 5*s(d). Give y(j(u)).", "a": "-211600*u**4" }, { "q": "Let y(s) = 5*s - 11. Let l be y(1). Let w(p) = -60*p**2. Let v(i) = -2*i**2. Let q(b) = l*w(b) + 198*v(b). Let z(x) = x**2. What is q(z(h))?", "a": "-36*h**4" }, { "q": "Let y(j) = j**2. Let u(a) be the first derivative of a**5/24 - 2*a**3/3 + 9*a**2/2 - 36. Let g(w) be the third derivative of u(w). What is g(y(i))?", "a": "5*i**2" }, { "q": "Let q(u) = 2*u. Let p(o) be the third derivative of 0*o + 7/30*o**5 + 0 + 0*o**3 + 35*o**2 + 0*o**4. Determine p(q(g)).", "a": "56*g**2" }, { "q": "Let z(o) = -52*o + 17. Let n(f) = -9*f + 3. Let s(k) = -34*n(k) + 6*z(k). Let p(b) = -6*b - 1. What is s(p(w))?", "a": "36*w + 6" }, { "q": "Let w(k) be the second derivative of k**3/2 - k. Let u(o) = o - 106 - 227 + 333. Determine w(u(n)).", "a": "3*n" }, { "q": "Let m(i) = -4*i. Let l(a) be the first derivative of -188*a**3 - 1665. Calculate l(m(h)).", "a": "-9024*h**2" }, { "q": "Let u(q) be the second derivative of q**3/3 - 30*q + 3. Let v(x) = 951*x**2. What is u(v(d))?", "a": "1902*d**2" }, { "q": "Let g(y) = y. Suppose -n = 2*p, 2*p + 5*n = 6*p - 14. Suppose 5*d - 41 + p = 0. Let a(s) = -d - 31*s**2 + 8. Calculate g(a(r)).", "a": "-31*r**2" }, { "q": "Let y(p) = 82*p. Let q(h) = -3*h + 12486. Give y(q(o)).", "a": "-246*o + 1023852" }, { "q": "Let l(w) = -2*w + 6. Let s(q) = -185*q + 15. What is s(l(j))?", "a": "370*j - 1095" }, { "q": "Let m(o) = 2*o + 2. Let z(u) = 2*u**2 + 7*u - 5363. Determine z(m(h)).", "a": "8*h**2 + 30*h - 5341" }, { "q": "Let z(n) = -n**3 + 7*n**2 + n - 3. Let h be z(7). Let w(g) = h*g**2 - 9*g**2 + 4*g**2. Let d(v) = v + 0*v - 5*v. Determine w(d(f)).", "a": "-16*f**2" }, { "q": "Let c(x) = -11585*x. Let f(p) = 7*p - 83. Determine c(f(w)).", "a": "-81095*w + 961555" }, { "q": "Let z(v) = v. Let t(s) = s**2 - 11*s - 9. Let b be t(12). Let p(q) = q**3 - q**2 - 2*q. Let g be p(b). Let o(j) = -21*j + g*j + 6*j**2 + 9*j. Determine o(z(d)).", "a": "6*d**2" }, { "q": "Let s(w) = 450719*w**2. Let c(a) = 15*a**2 + 1. Calculate c(s(t)).", "a": "3047214254415*t**4 + 1" }, { "q": "Let h(m) = -133095*m. Let n(p) = 33*p. Determine h(n(l)).", "a": "-4392135*l" }, { "q": "Let r(w) = -20*w - 34. Let o(q) = -2*q - 227. Give o(r(s)).", "a": "40*s - 159" }, { "q": "Let p(g) = 38*g**2 + 16. Let n(d) = 7*d**2 + 3. Let q(b) = 16*n(b) - 3*p(b). Let l(s) be the second derivative of s**4/4 + s. Give q(l(r)).", "a": "-18*r**4" }, { "q": "Let j(v) = -v**2. Let y(r) be the second derivative of 184*r**3/3 - 235*r. Determine j(y(f)).", "a": "-135424*f**2" }, { "q": "Let n(w) = -2*w**2 - 5*w**2 - w**2 + 9*w**2. Let j(g) = 4*g - 10. Let f(l) = -l + 2. Let m(a) = -5*f(a) - j(a). Calculate n(m(b)).", "a": "b**2" }, { "q": "Let f(d) = 17*d. Suppose g + 2*y - 3 = -0, -4*g + 2*y + 12 = 0. Let h(v) = -g + 6*v - 14*v + 3. Determine f(h(b)).", "a": "-136*b" }, { "q": "Let j(d) = -d**2. Let p(h) = 85*h**2 + 850*h. Let u = -22 + 21. Let g(l) = -2*l. Let b(z) = u*p(z) - 425*g(z). Determine b(j(v)).", "a": "-85*v**4" }, { "q": "Let j(l) be the second derivative of l**3/3 + 164*l. Let b(i) = 25*i**2 - 2*i. Give j(b(s)).", "a": "50*s**2 - 4*s" }, { "q": "Let u(h) be the second derivative of 0*h**2 + 0*h**3 - 32*h - 1 + 5/12*h**4. Let a(w) = -w**2. Determine a(u(z)).", "a": "-25*z**4" }, { "q": "Let l(h) = 4*h**2. Suppose -35 = -5*m - 5. Suppose -12*g = -10*g - 8. Let x(k) = -3 - m*k**2 + g - 1. Give x(l(f)).", "a": "-96*f**4" }, { "q": "Let g(z) = -325*z**2. Let b(t) = 2*t**2 + 210*t + 34. What is b(g(w))?", "a": "211250*w**4 - 68250*w**2 + 34" }, { "q": "Let b(a) = a**2 + a + 1. Let v(g) = -g**2 + 3*g + 3. Let c(w) = 3*b(w) - v(w). Let q(n) be the third derivative of 5*n**4/24 - 25*n**2 - n - 35. Give q(c(l)).", "a": "20*l**2" }, { "q": "Let j be 7 + -3 + -1 + -1. Suppose 3*k - 4*k + 2 = 0. Let d(p) = -7*p**j + p**k + 24*p**2 + 19*p**2. Let a(q) = -2*q**2. Determine a(d(g)).", "a": "-2738*g**4" }, { "q": "Let j(z) = 4*z + 5. Let a(i) = 172288*i. Calculate j(a(p)).", "a": "689152*p + 5" }, { "q": "Let b(d) = -213950*d. Let k(q) = 15*q. Calculate k(b(s)).", "a": "-3209250*s" }, { "q": "Let s(h) = -8*h**2 + 255 - 157 - 98. Let c(r) = 28*r + 2. What is s(c(z))?", "a": "-6272*z**2 - 896*z - 32" }, { "q": "Let q(m) = -10968574*m. Let t(h) = -h. Give t(q(p)).", "a": "10968574*p" }, { "q": "Let m(y) be the third derivative of 0*y - 1/24*y**4 + 28 + 0*y**3 - y**2. Let a(k) = -3*k - 2. Give a(m(j)).", "a": "3*j - 2" }, { "q": "Let h(w) = 137015*w**2 - 4908*w + 4908. Let o(b) = 419*b**2 - 15*b + 15. Let f(l) = 5*h(l) - 1636*o(l). Let v(y) = 3*y. Calculate v(f(i)).", "a": "-1227*i**2" }, { "q": "Let k(i) = 921*i**2 + 2*i. Let o(n) = 5*n. Let t(u) = -24*u. Let y(v) = -29*o(v) - 6*t(v). What is y(k(h))?", "a": "-921*h**2 - 2*h" }, { "q": "Let h(c) be the second derivative of c**3/6 + 1002*c. Let s(n) = -197*n. Give h(s(b)).", "a": "-197*b" }, { "q": "Let u(x) = 29*x. Let k(s) = 2*s + 69. Let d(m) = m + 16. Let z(r) = 4*d(r) - k(r). What is u(z(j))?", "a": "58*j - 145" }, { "q": "Let i(l) = l**2. Suppose -5*r = 2*n + 3, -4*r - r - 4*n = 11. Let d be ((0 - 3) + 8)/r. Let j(b) = 0*b - d + 5 - 3*b. What is i(j(c))?", "a": "9*c**2" }, { "q": "Let a(h) = -31*h. Let w(j) = 20*j**2 + 16*j**2 - 3*j**2 - 12*j**2 + 4*j**2. Determine a(w(u)).", "a": "-775*u**2" }, { "q": "Let y(v) = -97*v - 8. Let t(d) = -116*d - 7. Let q(i) = -5*t(i) + 6*y(i). Let z(w) = -11*w**2. Give z(q(h)).", "a": "-44*h**2 - 572*h - 1859" }, { "q": "Let u(v) = -8827 + 197*v + 8827 - 949*v. Let q(l) = 3*l**2. Determine u(q(p)).", "a": "-2256*p**2" }, { "q": "Let o(b) = 5*b**2 + 8. Let y(v) = -6*v**2 - 10. Let t(s) = 5*o(s) + 4*y(s). Suppose -1 + 5 = 2*r. Let z(d) = -26*d + r*d - 8*d. Give z(t(q)).", "a": "-32*q**2" }, { "q": "Let t(o) = 244*o. Let d(g) = 13084*g**2. Give t(d(k)).", "a": "3192496*k**2" }, { "q": "Let u(z) = -30*z**2 - 2*z. Let q(y) = 145*y. Let h(c) = -411*c. Let s(a) = 6*h(a) + 17*q(a). Give u(s(m)).", "a": "-30*m**2 + 2*m" }, { "q": "Let c(v) = 5*v. Let u(g) = -11*g. Let f be (-9 + 7)*-3 + -9. Let j(w) = f*u(w) - 7*c(w). Let p(a) be the first derivative of 23*a**2/2 + 1. Calculate p(j(l)).", "a": "-46*l" }, { "q": "Let x(p) = -2*p**2 - p - 1. Let o(c) = 15*c**2 + 2*c + 7. Let f(s) = -3*o(s) - 21*x(s). Let d(y) = -8*y. What is d(f(k))?", "a": "24*k**2 - 120*k" }, { "q": "Let p(v) = -786131*v. Let y(u) = 3*u. Determine y(p(g)).", "a": "-2358393*g" }, { "q": "Let l(k) = -55*k. Let s be 2 - 0 - (-69 + -2). Let v(g) = 40*g + 31*g - s*g. Give v(l(b)).", "a": "110*b" }, { "q": "Let q(d) = 2*d**2. Let s(u) = -501*u - 5497 + 111*u - 1488*u + 5497. Determine q(s(o)).", "a": "7053768*o**2" }, { "q": "Let i(r) be the second derivative of -25*r**3/6 - 14750*r. Let b(s) be the second derivative of -s**3/2 + s. Determine b(i(k)).", "a": "75*k" }, { "q": "Let p(c) = 291*c. Let f(h) = 5296*h. Give p(f(g)).", "a": "1541136*g" }, { "q": "Let w(c) = -5*c. Let j(f) be the second derivative of 3*f**3/2 + 1530*f. Calculate j(w(u)).", "a": "-45*u" }, { "q": "Let l(h) be the second derivative of -h**3 + 753*h. Let t(g) = 265*g**2. What is t(l(s))?", "a": "9540*s**2" }, { "q": "Let s(a) = 55539*a. Let u(c) = -185*c. Determine s(u(d)).", "a": "-10274715*d" }, { "q": "Let c(n) be the third derivative of -n**4/24 + 491*n**2 + 3*n. Let v(k) = k - 38. What is c(v(t))?", "a": "-t + 38" }, { "q": "Let j(w) be the first derivative of 7*w**2 - 16. Let x(l) = 21*l. Let m(n) = 8*j(n) - 5*x(n). Let i(p) = 5*p**2. What is i(m(b))?", "a": "245*b**2" }, { "q": "Suppose 14 = 2*p + 2. Let c(o) = o. Let k(g) = -5*g. Let l(u) = p*c(u) + k(u). Let q(v) = -9*v. Let r(y) = 5*y. Let z(m) = -4*q(m) - 7*r(m). Give z(l(t)).", "a": "t" }, { "q": "Let h(d) = -2*d**2 + 37*d**2 - 17*d**2 - 17*d**2. Let m(w) = 5*w**2 + 73 + 10*w**2 - 73. Calculate m(h(k)).", "a": "15*k**4" }, { "q": "Let k(o) = -8*o. Let g(q) be the third derivative of q**5/60 + 6*q**3 + 1457*q**2. Calculate g(k(l)).", "a": "64*l**2 + 36" }, { "q": "Let q(a) = -20*a**2. Let w(v) = -3*v**2 - v - 22824. What is w(q(z))?", "a": "-1200*z**4 + 20*z**2 - 22824" }, { "q": "Let r(d) = -d + 12. Let t(u) = -20*u + 256. Let f(z) = -64*r(z) + 3*t(z). Let l(q) = -3*q**2 + 43. What is f(l(o))?", "a": "-12*o**2 + 172" }, { "q": "Let g(l) be the third derivative of -187*l**5/60 - l**3/3 - 17*l**2 + 30*l. Let b(h) = h**2. Give g(b(n)).", "a": "-187*n**4 - 2" }, { "q": "Let m(d) = -d. Suppose 5*k + 163 = 4*p, 0 = -4*p + k + 34 + 149. Let r(c) = -p*c**2 + 5*c**2 - 91*c**2 + 6*c**2. What is m(r(l))?", "a": "127*l**2" }, { "q": "Let n(s) = s - 5. Let p(m) = m - 3. Let j(r) = -3*n(r) + 5*p(r). Let g = 60 - 48. Let i(z) = 9*z**2 + 16*z**2 - g*z**2. Calculate i(j(h)).", "a": "52*h**2" }, { "q": "Let p(t) = 3*t**2 + 1. Let o(q) = 92*q**2 + 18. Let a(z) = -4*o(z) + 72*p(z). Let s(c) = 7*c**2. Determine s(a(w)).", "a": "161728*w**4" }, { "q": "Let k(m) = -2*m. Let w(g) = 10*g**2 + 5*g - 22383. Give k(w(p)).", "a": "-20*p**2 - 10*p + 44766" }, { "q": "Let f(n) = -8*n. Let w(d) = -757*d**2 + 30*d + 6. Determine w(f(q)).", "a": "-48448*q**2 - 240*q + 6" }, { "q": "Let j(l) = -255*l**2 + 62*l - 3. Let b(u) = -12*u. What is b(j(n))?", "a": "3060*n**2 - 744*n + 36" }, { "q": "Let c(v) = -11127065*v**2. Let g(w) = 3*w. Give g(c(f)).", "a": "-33381195*f**2" }, { "q": "Let o(r) = r. Let y(i) = -2*i**2 - 2*i + 11484. Give o(y(x)).", "a": "-2*x**2 - 2*x + 11484" }, { "q": "Let a(g) = -g + 87. Let j(f) = -28. Let w(v) = -2*a(v) - 7*j(v). Let m(d) = -11*d. Calculate w(m(u)).", "a": "-22*u + 22" }, { "q": "Let k(l) = 1843*l**2. Let b(m) = -56*m**2 - 19. Determine b(k(u)).", "a": "-190212344*u**4 - 19" }, { "q": "Let a(u) = -5*u. Let w(s) = -19606*s**2 - 81. What is w(a(y))?", "a": "-490150*y**2 - 81" }, { "q": "Let j(q) = 19*q. Let p(h) = -661626*h. Calculate p(j(w)).", "a": "-12570894*w" }, { "q": "Let j(k) = -98*k**2. Let l(g) = 3*g + 1505. Calculate l(j(i)).", "a": "-294*i**2 + 1505" }, { "q": "Let d(t) = t**2. Let a(s) = 580*s**2 + 24*s - 16. Let u(z) = 581*z**2 + 20*z - 13. Let h(c) = 5*a(c) - 6*u(c). What is d(h(b))?", "a": "343396*b**4 + 2344*b**2 + 4" }, { "q": "Let r(z) = -358*z + 3 + 198*z - 658*z - 3. Let t(k) = 2*k**2. Calculate r(t(y)).", "a": "-1636*y**2" }, { "q": "Let q(o) = 32*o + 30*o + 30*o + 27*o - 121*o. Let k(p) = 53*p**2 - 5*p. Determine q(k(y)).", "a": "-106*y**2 + 10*y" }, { "q": "Let p(b) = 30*b**2 - 10*b**2 - 22*b**2. Let g(i) = i**2 - 1. Let c(q) = 6*q**2 - 16. Let x(r) = 2*c(r) - 14*g(r). Give p(x(h)).", "a": "-8*h**4 - 144*h**2 - 648" }, { "q": "Let u(p) = 1452*p**2. Let a(y) = 4821*y. Calculate a(u(d)).", "a": "7000092*d**2" }, { "q": "Let k(t) = -495*t**2. Let q(i) = 2290*i**2 - 768*i**2 - 758*i**2 - 765*i**2. What is k(q(g))?", "a": "-495*g**4" }, { "q": "Let l(b) = -4*b - 14 - 202*b**2 + 4*b - 7 + 25. Let r(u) = u**2. Give r(l(c)).", "a": "40804*c**4 - 1616*c**2 + 16" }, { "q": "Let o(h) = -1481373*h**2. Let v(l) = l**2. Give o(v(j)).", "a": "-1481373*j**4" }, { "q": "Let x(p) = 219*p + 12. Let d be x(2). Let o(u) = -16*u - 450 + d. Let f(g) = -6*g**2. What is o(f(k))?", "a": "96*k**2" }, { "q": "Let a(c) = 2*c - 4*c + 3*c. Let i(b) = -1087*b**2 + 2129*b**2 - 1070*b**2 - 2. Determine a(i(h)).", "a": "-28*h**2 - 2" }, { "q": "Let n(r) = 7*r - 4. Let x(z) be the second derivative of 6*z**3 - 21*z**2/2 - 5*z. Let y(h) = 21*n(h) - 4*x(h). Let s(v) = -124 + 4*v**2 + 124. Give y(s(a)).", "a": "12*a**2" }, { "q": "Let w(m) = 2*m. Let i(x) = -279275*x. Determine w(i(s)).", "a": "-558550*s" }, { "q": "Let f(u) = 62*u + 1. Let b(g) = 3*g**2 + 8*g + 7. Determine f(b(l)).", "a": "186*l**2 + 496*l + 435" }, { "q": "Let z(p) = -2*p**2. Let w(r) = r**2 - 2. Let q be w(2). Let n(c) = -3*c - 1110*c**2 - 3*c + 1108*c**q + 2*c. What is z(n(v))?", "a": "-8*v**4 - 32*v**3 - 32*v**2" }, { "q": "Let v(w) be the first derivative of -w**3 + 2. Let d(p) be the first derivative of 3*p**2 - 3589. Determine v(d(m)).", "a": "-108*m**2" }, { "q": "Let j(f) = 2*f + 2. Let h = 2 + 0. Let g(o) = -o**2 + o + 1. Let u(m) = h*g(m) - j(m). Let b(l) be the first derivative of -29*l**3/3 - 129. What is u(b(z))?", "a": "-1682*z**4" }, { "q": "Let k(d) = -d. Let t(z) = 436197*z. Give k(t(r)).", "a": "-436197*r" }, { "q": "Let h(r) = -r. Let z(y) = -10828*y - 33. What is h(z(q))?", "a": "10828*q + 33" }, { "q": "Let y(z) = -z**3 - 5*z**2 + 6*z + 33. Let f be y(-5). Let v(j) = -f*j - 2*j + 13*j - 11*j. Let l(d) = 17*d**2. Calculate v(l(k)).", "a": "-51*k**2" }, { "q": "Let c(o) = -8*o + 2146 - 4301 + 2155. Let h(j) = -84*j + 2. Give c(h(y)).", "a": "672*y - 16" }, { "q": "Suppose -80 = o - 11*o. Let y(p) = p - o*p + p + 2*p. Let m(t) be the first derivative of -7*t**2/2 - 1. Calculate y(m(h)).", "a": "28*h" }, { "q": "Let x(o) = 2*o. Let f(d) = -10625815*d**2. What is f(x(b))?", "a": "-42503260*b**2" }, { "q": "Let m(p) = 7*p**2 - 4 + 4 - 3*p**2. Let t(i) = -i**2 - 10*i. Let n be t(-10). Let a(r) = 0*r - r - 3*r + n*r. Calculate m(a(h)).", "a": "64*h**2" }, { "q": "Let y(k) = -k**2 + 1. Let n(i) = -42. Let v(u) = u - 24. Let l(t) = 4*n(t) - 7*v(t). Determine l(y(c)).", "a": "7*c**2 - 7" }, { "q": "Let a(j) = -107*j - 64*j + 42*j**2 + 14*j - 77*j**2 + 34*j**2. Let k(b) = -6*b. Give k(a(s)).", "a": "6*s**2 + 942*s" }, { "q": "Let b(c) = -9492*c**2 + 4761*c**2 + 4735*c**2. Suppose 2*z + 0*r - 2 = 2*r, 2*z - 3*r - 1 = 0. Let m(o) = z*o**2 - 5*o**2 - 2*o**2. Give m(b(k)).", "a": "-80*k**4" }, { "q": "Let h(f) be the third derivative of -f**4/12 + 6*f**2. Let z(x) = x**2 - x + 11. Let d(p) = 22*p**2 - 33*p + 363. Let l(b) = -2*d(b) + 66*z(b). Give h(l(n)).", "a": "-44*n**2" }, { "q": "Let v(g) = g. Let o(n) = 116*n**2 - 2*n + 18043. Give v(o(p)).", "a": "116*p**2 - 2*p + 18043" }, { "q": "Let s(w) = -11*w. Suppose 4*j = -4*u + 72, -j + 3 = -2. Suppose 19 - u = 3*x. Let q(b) = 6*b**2 - b**2 - 2*b**2 - 4*b**x. Calculate q(s(g)).", "a": "-121*g**2" }, { "q": "Let w(z) = z. Let r(i) be the first derivative of 0*i**2 + 0*i + 42 + 40/3*i**3. Calculate w(r(f)).", "a": "40*f**2" }, { "q": "Let l(q) = 48*q - 3. Let b(w) = w - 1. Let s(c) = 6*b(c) - 2*l(c). Let i(t) be the first derivative of -t**2/2 + 1993. Determine i(s(h)).", "a": "90*h" }, { "q": "Let l(f) = -2*f**2. Let u(x) = 97*x - 3. Let i(z) = -194*z + 8. Let r(o) = 2*i(o) + 5*u(o). Determine r(l(t)).", "a": "-194*t**2 + 1" }, { "q": "Let r(t) = 3806*t**2. Let b(h) = 15*h**2 + 4*h. Let y(q) = 26*q**2 + 7*q. Let k(w) = 7*b(w) - 4*y(w). Calculate r(k(v)).", "a": "3806*v**4" }, { "q": "Let k(a) = 5*a**2 - 2*a + 36. Let q(v) = -66*v**2 + 27*v - 486. Let x(n) = -108*k(n) - 8*q(n). Let y(t) = 3*t. Give y(x(w)).", "a": "-36*w**2" }, { "q": "Let a(d) = 97*d. Let h(t) = 2*t**2 + 0*t**2 - 3598*t + 3598*t. Calculate h(a(o)).", "a": "18818*o**2" }, { "q": "Let z(v) = 13*v + 1. Let k(p) = -44*p + 3. Let w(f) = 29*f - 2. Let l(x) = -2*k(x) - 3*w(x). Calculate l(z(j)).", "a": "13*j + 1" }, { "q": "Let m(c) = 8*c. Let p(t) be the third derivative of -t**4/6 - 63*t**2. Let r(n) = -2*m(n) - 5*p(n). Let l(z) = 5*z. Give r(l(k)).", "a": "20*k" }, { "q": "Let c(d) = d**2 - 7*d**2 + 2*d - 2*d. Let r(w) = -94982*w + 94982*w + 15*w**2. Calculate c(r(z)).", "a": "-1350*z**4" }, { "q": "Let k(c) be the third derivative of 0*c**3 + 0*c + 9/8*c**4 + 0 - 12*c**2. Let j(h) = -5*h**2. Calculate k(j(y)).", "a": "-135*y**2" }, { "q": "Let o(k) = -6*k. Let c(i) = -7*i. Suppose -m = -0*m - 5. Let b(n) = m*c(n) - 6*o(n). Let q(g) = -34*g - 2. Calculate q(b(w)).", "a": "-34*w - 2" }, { "q": "Let l(v) be the second derivative of 2*v**4/3 + 341*v. Let g(m) = -m - 1. Let d(q) = -6*q - 3. Let x(j) = -d(j) + 3*g(j). Give x(l(b)).", "a": "24*b**2" }, { "q": "Let a(w) = -7*w - 3019. Let f(b) = 11*b. Determine a(f(x)).", "a": "-77*x - 3019" }, { "q": "Let c(u) = -5*u**2 + 3*u + 3. Let b be c(3). Let z = b - -35. Let l(y) = 6*y**2 + y**z - 9*y**2. Let d(v) = -28*v**2. Calculate l(d(r)).", "a": "-1568*r**4" }, { "q": "Let r(c) = 1438*c + 1440*c - 2884*c. Let x(z) = 61*z**2 - 3*z. Give x(r(o)).", "a": "2196*o**2 + 18*o" }, { "q": "Let t(y) = -300 - 302 + 602 + 4*y - 3*y. Let p(f) = -6*f**2 - 111. Determine p(t(w)).", "a": "-6*w**2 - 111" }, { "q": "Let i(d) = 13614*d**2 + 0 + 1 - 27242*d**2 + 13620*d**2. Let v(q) = 4*q**2. Determine v(i(s)).", "a": "256*s**4 - 64*s**2 + 4" }, { "q": "Let k(m) = -257*m**2 + 3*m - 17. Let j(q) = -89*q**2 + q - 6. Let f(u) = -17*j(u) + 6*k(u). Let s(h) = -5*h. Determine s(f(y)).", "a": "145*y**2 - 5*y" }, { "q": "Suppose -6*x - x = -385. Let s(v) = 19*v**2 + 107 - x - 52. Let n(q) = 4*q. Give s(n(i)).", "a": "304*i**2" }, { "q": "Let b(x) be the first derivative of 20*x**3/3 + 842. Let k(a) = 6*a + 0*a + 0*a. What is k(b(g))?", "a": "120*g**2" }, { "q": "Let y(s) = s**2. Let p(i) = -864905*i. What is p(y(g))?", "a": "-864905*g**2" }, { "q": "Let f(x) = -8*x**2. Let p(a) = -a**2. Let l(q) = -2*f(q) + 18*p(q). Let y be (64/10)/(2/10). Let s(d) = y*d + 19*d - 4*d. What is s(l(g))?", "a": "-94*g**2" }, { "q": "Let f(d) = -5*d**2 - 11. Let b(x) = -13*x - 4. Let h(y) = 51*y + 17. Let k(m) = -17*b(m) - 4*h(m). Let u(z) = 12*z. Let o(w) = 5*k(w) - 7*u(w). What is o(f(j))?", "a": "-5*j**2 - 11" }, { "q": "Let p(w) = 1135*w**2 + 2*w. Let b(o) = -834*o. What is p(b(y))?", "a": "789456060*y**2 - 1668*y" }, { "q": "Let y(n) be the third derivative of -95*n**4/12 + 1352*n**2. Let x(j) = -j**2. Calculate x(y(o)).", "a": "-36100*o**2" }, { "q": "Let f(p) = -147*p. Let w(v) = -3*v**2 + 14*v. Let i(j) = 22*j**2 - 119*j. Let s(y) = -2*i(y) - 17*w(y). Give s(f(l)).", "a": "151263*l**2" }, { "q": "Let x(d) = -4*d - 2. Let f(w) = -15*w - 9. Let a(p) = 2*f(p) - 9*x(p). Let b(c) be the first derivative of -3*c**2/2 - 287. Calculate b(a(r)).", "a": "-18*r" }, { "q": "Let f(v) = -3122*v**2. Let n(z) be the third derivative of -z**5/30 - 23*z**2 + 26*z. Give n(f(w)).", "a": "-19493768*w**4" }, { "q": "Let r(o) = -23*o**2. Let p(w) be the second derivative of -w**6/72 - w**3/3 - w**2/2 - 5*w - 1. Let c(s) be the second derivative of p(s). What is c(r(d))?", "a": "-2645*d**4" }, { "q": "Let b(j) = -273 - 121 - 164 - 2*j**2 - 362. Let t(r) = -2*r. Calculate b(t(y)).", "a": "-8*y**2 - 920" }, { "q": "Let y(i) = -27*i**2 + 5. Let r(a) = -176*a**2 + 33. Let s(d) = 5*r(d) - 33*y(d). Let f = 44 + 38. Let q(u) = -1 - 83*u + f*u + 1. What is s(q(b))?", "a": "11*b**2" }, { "q": "Let w(o) = 145*o**2 - 5*o. Let q(f) be the second derivative of f**4/12 + f**3/6 + 65*f - 1. Let h(m) = -5*q(m) - w(m). Let p(a) = -a. Give p(h(k)).", "a": "150*k**2" }, { "q": "Let g(w) be the second derivative of 0*w**2 + w + 1 + 0*w**3 + 1/4*w**4. Let a(z) = -13*z. Determine a(g(u)).", "a": "-39*u**2" }, { "q": "Let m(u) = 36510*u. Let v(g) = 17*g**2 + 3*g. Determine v(m(d)).", "a": "22660661700*d**2 + 109530*d" }, { "q": "Let y(m) = m. Let b(o) = -10*o + o + 2*o + 21 - 19 - o. Calculate y(b(j)).", "a": "-8*j + 2" }, { "q": "Let v(i) = -6*i. Let u(b) = -98295*b + 3. Calculate v(u(d)).", "a": "589770*d - 18" }, { "q": "Let t(h) = -h**2. Let d(r) = -9*r - 7. Let l(j) = 8*j + 8. Let y(c) = -c**3 - 7*c**2 - 5*c + 1. Let b be y(-6). Let s(k) = b*d(k) - 4*l(k). Give s(t(n)).", "a": "-13*n**2 + 3" }, { "q": "Let l(m) = -218012*m. Let o(s) = -31*s. What is o(l(z))?", "a": "6758372*z" }, { "q": "Let d(m) = 3*m**2. Let r(z) = -44*z + 18*z - 821*z**2 + 15*z + 11*z. Give d(r(p)).", "a": "2022123*p**4" }, { "q": "Let d(p) = -53*p**2. Suppose -368 = 8*f - 12*f. Let s(w) = -f + 2*w + 92. Determine d(s(x)).", "a": "-212*x**2" }, { "q": "Let k(w) = 10*w + 7. Let a(u) = -7*u - 5. Let l(q) = 14*a(q) + 10*k(q). Let p(c) = 52*c + 1. What is p(l(s))?", "a": "104*s + 1" }, { "q": "Let g(h) = 3*h - 18. Let t(a) = 19*a - 117. Let u(z) = -39*g(z) + 6*t(z). Let x(i) = 336*i. Give u(x(m)).", "a": "-1008*m" }, { "q": "Let k(v) = -3*v**2. Let i(u) = 14799523*u**2. Give k(i(r)).", "a": "-657077643082587*r**4" }, { "q": "Let p(y) = -3*y**2 + y. Let u(v) be the first derivative of 21 + 0*v**2 + 1/3*v**3 + 0*v. Determine p(u(a)).", "a": "-3*a**4 + a**2" }, { "q": "Let c(n) = 15*n**2. Let f(r) = 6*r**2 - 12. Let y(s) = 11*s**2 - 20. Let q(g) = -5*f(g) + 3*y(g). Calculate c(q(m)).", "a": "135*m**4" }, { "q": "Let i(u) = 6*u**2 + 7*u + 3. Let r(g) = 11*g**2 + 17*g + 7. Let m(n) = 7*i(n) - 3*r(n). Let o(h) = h**2. Give m(o(q)).", "a": "9*q**4 - 2*q**2" }, { "q": "Let g(o) be the first derivative of -3*o**2/2 - 211. Let x(v) = 2*v + 8 + 14 + 10. Give x(g(j)).", "a": "-6*j + 32" }, { "q": "Let c(t) = t - 915. Let d(p) = 118*p - 2. What is c(d(v))?", "a": "118*v - 917" }, { "q": "Let a(k) = -683917*k**2. Let v(q) = -16*q**2. Determine v(a(d)).", "a": "-7483879406224*d**4" }, { "q": "Let s(b) = 26*b**2 - 7*b - 2027. Let j(i) = -i. Give s(j(t)).", "a": "26*t**2 + 7*t - 2027" }, { "q": "Let m(n) = n. Let c(x) = -104*x + 5655. Determine c(m(g)).", "a": "-104*g + 5655" }, { "q": "Suppose 2*a - 21 = 5*n, a + n = -3 - 4. Let b be a - (-128)/10 - (-3)/15. Let x(o) = 11 - 2*o - b. Let h(j) = j**2. What is h(x(w))?", "a": "4*w**2" }, { "q": "Let f(g) = 146*g + 190*g - 335*g. Let t(w) = -4*w + 14*w + 4*w. Determine f(t(s)).", "a": "14*s" }, { "q": "Let m(o) = 2748*o**2 - o + 19. Let l(r) = 6*r**2 + 1. Calculate m(l(d)).", "a": "98928*d**4 + 32970*d**2 + 2766" }, { "q": "Let b(l) = 10*l. Let h(x) = -516226*x. Calculate b(h(u)).", "a": "-5162260*u" }, { "q": "Let s(b) = 10948579*b. Let i(x) = -2*x**2. Give i(s(m)).", "a": "-239742764238482*m**2" }, { "q": "Let y(m) be the first derivative of m**3 + 1239. Let t(h) = -55*h**2. Determine t(y(f)).", "a": "-495*f**4" }, { "q": "Let g(x) = 2*x. Let w = -229 + 231. Let m(d) = -128 + 127 - w*d**2 - 19*d**2. What is g(m(r))?", "a": "-42*r**2 - 2" }, { "q": "Let s(z) = -38561*z**2. Let m(a) = 17*a. Give m(s(c)).", "a": "-655537*c**2" }, { "q": "Let x = -78 + 79. Let l(z) = z + 1. Let d(r) = 10*r**2 - 6*r - 6. Let s(u) = x*d(u) + 6*l(u). Let m(o) = 7*o**2. Give s(m(t)).", "a": "490*t**4" }, { "q": "Let f = 56 + -9. Let r(v) = -10*v + f*v - 17*v - 14*v. Let q(j) = -15*j. Calculate q(r(g)).", "a": "-90*g" }, { "q": "Let n(t) = -1304957*t. Let z(p) = -5*p**2. Determine n(z(k)).", "a": "6524785*k**2" }, { "q": "Let i(r) be the third derivative of -1/8*r**4 - 90*r**2 + 0*r + 0 + 0*r**3. Let t(b) = -b + 4. Let g(p) = -3*p + 9. Let f(q) = -4*g(q) + 9*t(q). Give f(i(w)).", "a": "-9*w" }, { "q": "Let o(k) = 3*k**2. Let u(t) be the first derivative of 10*t**3/3 + 5*t**2/2 - 1162. Give u(o(j)).", "a": "90*j**4 + 15*j**2" }, { "q": "Let s(u) = 2*u**2. Let y be 4/28 + 630/49. Suppose 37 = 3*q + y. Let g(m) = -8*m + 0*m**2 - 2*m**2 + q*m. Give g(s(t)).", "a": "-8*t**4" }, { "q": "Let s(k) = 371*k. Let q(y) = -5227*y. What is s(q(x))?", "a": "-1939217*x" }, { "q": "Let m(b) = 376120*b - 1. Let v(i) = -11*i. Determine v(m(h)).", "a": "-4137320*h + 11" }, { "q": "Let r(h) = -30234*h**2 + 39*h - 1. Let q(b) = 2*b. Determine r(q(s)).", "a": "-120936*s**2 + 78*s - 1" }, { "q": "Let m(o) = 1214*o. Let p(q) be the second derivative of q**4/6 - 500*q - 1. What is p(m(h))?", "a": "2947592*h**2" }, { "q": "Let x(r) = -r. Let w = 49 + -45. Let c be ((-1)/2)/((-1)/w). Let y(n) = 2*n**2 + 6*n**c + 15*n - 15*n. Determine x(y(t)).", "a": "-8*t**2" }, { "q": "Let s(h) = -233*h + 3 + 3 - 6 + 256*h. Let t(u) = -31*u**2. What is s(t(j))?", "a": "-713*j**2" }, { "q": "Let n(w) = -1918344*w**2. Let o(i) = -2*i**2. Determine o(n(u)).", "a": "-7360087404672*u**4" }, { "q": "Let t(u) be the first derivative of 3*u**2/2 + 197. Let k(c) = 5*c + 8. Determine t(k(b)).", "a": "15*b + 24" }, { "q": "Let k(o) = 4*o**2. Let r(x) = -424*x + 386*x - 709*x. Determine r(k(p)).", "a": "-2988*p**2" }, { "q": "Let r(v) = -37*v**2 - 3. Let m(h) = -h - 1. Let d(c) = 0*c - c**2 - 148 + c + 149. Let n(f) = d(f) + m(f). Calculate n(r(s)).", "a": "-1369*s**4 - 222*s**2 - 9" }, { "q": "Let t(l) = 18*l**2 - 22. Let w(c) = 617*c - 9. Calculate w(t(x)).", "a": "11106*x**2 - 13583" }, { "q": "Let l(w) = -101*w**2. Let n(v) = -16804*v. Determine l(n(a)).", "a": "-28519816016*a**2" }, { "q": "Let d(h) = -18*h. Let j(y) = -95593*y. Determine j(d(m)).", "a": "1720674*m" }, { "q": "Let l(j) = 5*j**2. Let p(a) be the third derivative of -a**6/72 - 67*a**4/24 + 23*a**2. Let i(r) be the second derivative of p(r). Give i(l(w)).", "a": "-50*w**2" }, { "q": "Let i(z) be the first derivative of z**2 - 90. Let d(m) = -17*m. Let x(h) = -h. Let q(o) = 3*d(o) + 6*x(o). Calculate q(i(k)).", "a": "-114*k" }, { "q": "Let l(p) = -8*p**2 + 3. Let x(j) = 26*j**2 - 10. Let i(u) = -10*l(u) - 3*x(u). Let b(d) be the first derivative of 5/3*d**3 - 6 + 0*d + 0*d**2. What is i(b(h))?", "a": "50*h**4" }, { "q": "Let f(h) = -115 + 115 + 3*h - 8*h + 10*h. Let y(c) = -19*c**2 - 1. Calculate f(y(d)).", "a": "-95*d**2 - 5" }, { "q": "Let y(w) = 560*w**2 - 5. Let n(j) = -374*j**2 + 3. Let r(q) = 8*n(q) + 5*y(q). Let f(h) = -2*h. Determine f(r(d)).", "a": "384*d**2 + 2" }, { "q": "Let l(i) = 65*i. Let r(y) = -179*y. Let t(a) = -11*l(a) - 4*r(a). Let u(q) = 28*q**2. Determine t(u(j)).", "a": "28*j**2" }, { "q": "Let r(y) = -3*y**2. Suppose 8*z - 32 = 4*z. Let v(a) = a - 8. Let x be v(z). Let b(u) = -5*u - u + 4*u + x*u. What is r(b(g))?", "a": "-12*g**2" }, { "q": "Let a(p) = -2023867*p**2. Let h(n) = -10*n. Calculate a(h(x)).", "a": "-202386700*x**2" }, { "q": "Let r be (-6)/(-6 + 1 + 3). Let n(k) = k + r*k - 5*k. Let b(u) be the third derivative of -11*u**5/60 - 2*u**2 + 10*u. Give n(b(w)).", "a": "11*w**2" }, { "q": "Let h(z) = -z - 1. Let k(a) = 48*a + 36. Let r(l) = -72*h(l) - 2*k(l). Let d(g) = 21*g - 8. Let u(y) = -16*y + 6. Let m(f) = -3*d(f) - 4*u(f). What is m(r(o))?", "a": "-24*o" }, { "q": "Let q(p) be the third derivative of 0*p + 0*p**4 + 0*p**3 + 0 + 66*p**2 + 1/30*p**5. Let g(k) = -26*k. Determine g(q(a)).", "a": "-52*a**2" }, { "q": "Let z(t) = -149*t**2 - 11*t**2 + 13 - 8 - 5. Let o(h) = -h. What is z(o(s))?", "a": "-160*s**2" }, { "q": "Let p(s) = 178005*s**2. Let y(q) = -2*q - 2. What is y(p(a))?", "a": "-356010*a**2 - 2" }, { "q": "Let h(n) = -28 - 28 + 118 - 62 - 18*n. Let x(p) be the second derivative of -p**3/2 + 2*p. Calculate x(h(m)).", "a": "54*m" }, { "q": "Let j(x) = -334*x. Let o(k) be the second derivative of -2*k**4/3 - 49*k. Determine j(o(u)).", "a": "2672*u**2" }, { "q": "Let j(c) = 3*c**2. Let v(f) be the third derivative of 97*f**5/15 + 141*f**2. Determine j(v(m)).", "a": "451632*m**4" }, { "q": "Let i(l) = 2*l**2 + 20*l + 10. Suppose 5*r - 2*r = -5*g - 94, -3*g = -r + 62. Let d(x) = -2*x - 1. Let s(h) = g*d(h) - 2*i(h). Let v(j) = -6*j. Give s(v(q)).", "a": "-144*q**2" }, { "q": "Let g(r) = 1322*r**2 + r + 5. Let a(j) = -15*j. Determine g(a(m)).", "a": "297450*m**2 - 15*m + 5" }, { "q": "Let y(q) be the second derivative of -q**3/6 + q + 6402. Let u(r) = r - 3*r + r. What is u(y(s))?", "a": "s" }, { "q": "Let g(y) = -y. Let t(l) = -29*l + 6. Let z(j) = -57*j + 11. Suppose 5*a + 4*u = -43, -11*a - 5*u + 37 = -13*a. Let m(o) = a*t(o) + 6*z(o). Give m(g(n)).", "a": "23*n" }, { "q": "Let k(z) = -3*z**2. Let g(j) = 7*j**2. Let p = -12 + 24. Suppose -c + 4*c = -p. Let m(r) = c*g(r) - 9*k(r). Let w(y) = 18*y**2. What is w(m(h))?", "a": "18*h**4" }, { "q": "Let y(h) be the third derivative of 1/10*h**5 + 0*h + 20*h**2 + 0 + 0*h**3 + 0*h**4. Let i(w) = -w. Give i(y(c)).", "a": "-6*c**2" }, { "q": "Let h = 77 + -23. Suppose -5*l + 0*o + o + 90 = 0, 3*l - 3*o = h. Let g(q) = -31*q**2 + 0*q + l*q**2 + 0*q. Let z(c) = -c**2. Give g(z(p)).", "a": "-13*p**4" }, { "q": "Let v(g) = 0*g + 8*g - g. Let n(w) be the third derivative of w**6/360 + 2*w**4/3 - 2*w**2 - 26*w. Let c(f) be the second derivative of n(f). Determine v(c(u)).", "a": "14*u" }, { "q": "Let v(h) be the second derivative of 9*h**4/4 - 8*h. Let r(k) be the first derivative of k**3/3 - 5. Determine v(r(z)).", "a": "27*z**4" }, { "q": "Let h(c) = -4*c. Let t be (-27)/6*((-20)/6)/5. Suppose t*s - 6 = -0. Let j(a) = 33*a**s - 22*a**2 - 18*a**2. Calculate j(h(w)).", "a": "-112*w**2" }, { "q": "Let g(p) be the first derivative of -5 + p**2 + 6 + 38. Let s(k) = -38*k + 1. What is g(s(b))?", "a": "-76*b + 2" }, { "q": "Let r(o) = -2*o**2. Let h = -133 - -135. Let k(y) = h - 16*y**2 - 3 + 23*y**2. What is k(r(a))?", "a": "28*a**4 - 1" }, { "q": "Let g(i) = i. Let k(w) = 5*w**3 + 5*w**2 + 8*w - 16. Let y be k(3). Let j(t) = 10 - 6 + y*t - 4. What is j(g(u))?", "a": "188*u" }, { "q": "Let q(u) = 233114*u**2. Let m(r) = -65*r. Give m(q(y)).", "a": "-15152410*y**2" }, { "q": "Let k be (-2)/(-14) + (-102)/(-119). Let v(p) = -3. Let d(b) = -b**2 + 1. Let o(s) = k*v(s) + 3*d(s). Let z(l) = 2 + 1 - 3 + 2*l**2. Calculate z(o(f)).", "a": "18*f**4" }, { "q": "Let z(c) be the third derivative of 4*c**5/15 + 5*c**2 - 30*c. Let n(m) = -m**2. What is n(z(d))?", "a": "-256*d**4" }, { "q": "Let u(z) = -29*z - 22*z - 17*z + 121*z - 31*z. Let m(h) = -79*h. Determine m(u(d)).", "a": "-1738*d" }, { "q": "Let x(i) = -63*i. Let s(t) = 5815*t**2. Determine x(s(j)).", "a": "-366345*j**2" }, { "q": "Let h(j) = -47*j**2. Let o be -32 - (0 - (-10)/(-2)). Let v(x) = -12*x. Let y(z) = z. Let f(i) = o*y(i) - 2*v(i). Calculate h(f(p)).", "a": "-423*p**2" }, { "q": "Suppose 654 = 5*a + 3*x, 2*x + 464 + 200 = 5*a. Let i(l) = 136*l**2 + a*l**2 - 278*l**2. Let q(w) = -5*w. What is i(q(d))?", "a": "-250*d**2" }, { "q": "Let d(a) be the third derivative of 17*a**5/15 - 591*a**2. Let v(j) = 7*j. What is d(v(l))?", "a": "3332*l**2" }, { "q": "Let b(x) = -3*x. Let p(v) = -2*v - 30630 + 30630. Let n(m) = 2*m**2 - 6*m. Let u(q) = -2*n(q) + 6*p(q). Give u(b(k)).", "a": "-36*k**2" }, { "q": "Let b(i) = 2*i**2. Let f(n) be the second derivative of 2*n**3/3 - n**2/2 - 3*n + 2. Calculate f(b(c)).", "a": "8*c**2 - 1" }, { "q": "Let v be (-4)/6 + (-32)/(-12). Let m(b) = 23*b**v - 7*b + 7*b. Let g(d) = -26*d - 39*d + 66*d. Give m(g(j)).", "a": "23*j**2" }, { "q": "Let m(j) = -1704678*j**2. Let v(g) = -4*g. Give m(v(t)).", "a": "-27274848*t**2" }, { "q": "Let m(r) = r**2 + 60624*r. Let w(v) = -16*v. What is w(m(s))?", "a": "-16*s**2 - 969984*s" }, { "q": "Let y(d) = d**2. Suppose -k + w + 1 = 2*w, 0 = 2*k - 4*w - 26. Suppose 0 = 2*i + k*a + 8 - 35, 0 = a - 1. Let b(s) = 9*s - 11 + i. Determine b(y(g)).", "a": "9*g**2" }, { "q": "Let v(j) = j**2. Let t(f) be the first derivative of -4/3*f**4 + 0*f**3 + 0*f**2 + 16 - 8*f. Let d(h) be the first derivative of t(h). Give v(d(i)).", "a": "256*i**4" }, { "q": "Let o(n) = 844*n. Let c(a) = 39*a + 30. Calculate c(o(t)).", "a": "32916*t + 30" }, { "q": "Let h(b) = -9866840*b**2. Let g(o) = o. Calculate g(h(a)).", "a": "-9866840*a**2" }, { "q": "Let n(b) = -2*b. Let g(j) = -145883*j**2 - 7. Calculate n(g(i)).", "a": "291766*i**2 + 14" }, { "q": "Let l(y) = -16*y**2 + 806*y - 806*y. Let s(p) = -9*p**2. What is l(s(v))?", "a": "-1296*v**4" }, { "q": "Let r(t) = 7*t - 7. Let d(i) = 5*i - 7. Let h(x) = 5*d(x) - 4*r(x). Let y(p) = -8*p. Calculate h(y(b)).", "a": "24*b - 7" }, { "q": "Let x(h) = 36*h. Let j(l) = 3*l**2 + 2*l + 5561. Determine x(j(t)).", "a": "108*t**2 + 72*t + 200196" }, { "q": "Let d(f) be the first derivative of 8*f**3/3 + 169. Let y(m) = 3*m + 2. Calculate y(d(n)).", "a": "24*n**2 + 2" }, { "q": "Let a(j) = -175*j**2. Let o(r) = 58*r**2. Let f(d) = 2*a(d) + 7*o(d). Let v(b) be the second derivative of -b**4/12 - 14264*b. Calculate v(f(x)).", "a": "-3136*x**4" }, { "q": "Let h(t) = 61627*t. Let i(n) = -11*n. Determine h(i(q)).", "a": "-677897*q" }, { "q": "Let g(k) = -6*k + 4. Let o(y) = -4601*y. Calculate o(g(s)).", "a": "27606*s - 18404" }, { "q": "Let p(f) = -210*f**2. Let x(l) = -14037*l**2. Determine p(x(q)).", "a": "-41377847490*q**4" }, { "q": "Let c = 23 + -16. Let s(z) = z**2 + 10*z + 2. Let p be s(-10). Let m(a) = c*a - 7*a + p*a. Let h(x) = -9*x. Give m(h(v)).", "a": "-18*v" }, { "q": "Let w(l) = 5103*l. Let d(p) = 73*p + 6. What is w(d(b))?", "a": "372519*b + 30618" }, { "q": "Let m(w) = -6*w + 5. Let t(i) = 15*i - 12. Let x(f) = -12*m(f) - 5*t(f). Let v(y) = -167*y - 183*y + 345*y - 6*y**2. What is v(x(l))?", "a": "-54*l**2 + 15*l" }, { "q": "Let w(b) = -253*b. Let z(v) be the third derivative of -v**4/12 - 342*v**2. What is w(z(m))?", "a": "506*m" }, { "q": "Let r(i) = -3*i**2. Let q(v) be the third derivative of 0*v + 1/6*v**4 + 0*v**3 - 12*v**2 + 0. Calculate q(r(z)).", "a": "-12*z**2" }, { "q": "Let f(z) = -13*z**2. Suppose -213 + 73 = -5*g. Let q(x) = -g*x**2 - 28*x**2 + 51*x**2. What is q(f(t))?", "a": "-845*t**4" }, { "q": "Let i(f) = 12*f + 17*f + 9*f + 17*f - 58*f. Let d(o) be the second derivative of 5*o**4/12 + o. Determine i(d(x)).", "a": "-15*x**2" }, { "q": "Let j(v) = v**2. Let h(o) be the first derivative of 21/2*o**2 + 0*o + 44. Calculate h(j(m)).", "a": "21*m**2" }, { "q": "Let t(r) = 92*r**2. Let c(n) = -95*n**2. Let v(m) = -4*c(m) - 6*t(m). Let h(b) = -b**2. Calculate h(v(y)).", "a": "-29584*y**4" }, { "q": "Let u(f) = 141*f**2 + 12*f + 12. Let p(l) = -421*l**2 - 34*l - 34. Let y(m) = -6*p(m) - 17*u(m). Let n(q) = q**2. What is y(n(z))?", "a": "129*z**4" }, { "q": "Let v(d) = -22*d. Let p(t) be the third derivative of 0 + 0*t - 71*t**2 + 0*t**4 + 0*t**3 + 1/60*t**5. What is v(p(j))?", "a": "-22*j**2" }, { "q": "Let f = -20 - -34. Let c(v) = -6*v + f*v - 8*v + 16*v**2. Let h(p) be the second derivative of p**4/6 + 23*p. What is c(h(g))?", "a": "64*g**4" }, { "q": "Let j(x) = 11*x**2 + 73*x + 5. Let a(v) = -60*v - 1. Calculate a(j(m)).", "a": "-660*m**2 - 4380*m - 301" }, { "q": "Let a(m) = -111*m - 5. Let w(b) = -4*b - 198. Give a(w(q)).", "a": "444*q + 21973" }, { "q": "Let u(b) = -11*b + 14*b - 2*b + 4*b. Let m(h) = -20*h. Let x(j) = -20*j. Let n(t) = -3*m(t) + 2*x(t). Determine u(n(f)).", "a": "100*f" }, { "q": "Let z(k) = -44735*k. Let a(g) = 11*g**2 + 18*g. Determine a(z(p)).", "a": "22013422475*p**2 - 805230*p" }, { "q": "Let j(s) be the first derivative of -s**4/6 - 22*s + 2. Let q(c) be the first derivative of j(c). Let i(t) = 107*t. Calculate q(i(h)).", "a": "-22898*h**2" }, { "q": "Let q(c) = -2096*c**2. Let d(u) = 9653*u. Calculate q(d(z)).", "a": "-195306137264*z**2" }, { "q": "Let c(j) be the first derivative of 48*j**2 - 48. Let o(a) be the third derivative of -a**4/24 + 25*a**2 - 1. Give c(o(m)).", "a": "-96*m" }, { "q": "Let l(z) be the third derivative of -1/10*z**5 + 0*z**3 + 0*z**4 + 0*z + 0 + 52*z**2. Let s(q) = 15*q**2. Give l(s(w)).", "a": "-1350*w**4" }, { "q": "Let h(v) = -2*v - 2*v - 7*v + 2*v. Let n(p) be the first derivative of -1 + 2*p**2 - 3*p**2 + 0 + 0*p**2. Determine h(n(z)).", "a": "18*z" }, { "q": "Let y(c) = 12*c**2 - 2. Suppose 2*g = 4*g - 118. Let d(a) = g + a + 63 - 122. Give d(y(f)).", "a": "12*f**2 - 2" }, { "q": "Let r(m) = -m + 22. Let n(z) be the third derivative of -44*z**2 + 0*z**4 + 0*z - 1/20*z**5 + 0*z**3 + 2. Calculate r(n(u)).", "a": "3*u**2 + 22" }, { "q": "Let z(i) = -2*i**2. Let n(f) = -34532*f + 13871. Let w(s) = -194*s + 78. Let m(l) = 6*n(l) - 1067*w(l). Calculate m(z(v)).", "a": "388*v**2" }, { "q": "Let a(r) = -33*r**2. Let p(l) = 283670*l**2 + 2*l. What is p(a(q))?", "a": "308916630*q**4 - 66*q**2" }, { "q": "Let s(d) be the third derivative of -d**7/420 + d**4/12 + 10*d**3/3 + 15*d**2. Let u(w) be the second derivative of s(w). Let v(l) = 4*l**2. Calculate u(v(r)).", "a": "-96*r**4" }, { "q": "Let u(w) = -2*w + 10*w**2 - 53 + 81 - 28 + 0*w**2. Let b(v) = 21*v**2. What is b(u(i))?", "a": "2100*i**4 - 840*i**3 + 84*i**2" }, { "q": "Let c(m) = m. Let d(l) be the first derivative of 7/3*l**3 + 0*l - 72 + 0*l**2. Determine d(c(f)).", "a": "7*f**2" }, { "q": "Let i be (-4)/(-5)*150/4. Suppose -m + 39 = -2*b + 6*b, i = 3*b + m. Let o(r) = -5*r - 5 - b + 14. Let u(v) = -5*v. Give o(u(f)).", "a": "25*f" }, { "q": "Let v = 8 - 8. Suppose 4*x - 4 = 0, 4*j - 5*x - 435 = -v*x. Let k(b) = 4*b - j - 3*b + 110. Let t(a) = 9*a. Give k(t(d)).", "a": "9*d" }, { "q": "Let s(d) = d**2 + 7*d + 1. Let n be s(-7). Let p(j) = 5*j**2. Let l(f) = 90 + f**2 - 90. Let z(c) = n*p(c) + 2*l(c). Let h(t) = 4*t**2. Calculate h(z(k)).", "a": "196*k**4" }, { "q": "Let u(p) = -296869*p. Let r(d) = -2*d**2. What is u(r(g))?", "a": "593738*g**2" }, { "q": "Let i(y) = 72*y**2. Let t(b) = 411*b - 119. Calculate t(i(v)).", "a": "29592*v**2 - 119" }, { "q": "Let n(z) = 28*z. Let g(d) be the second derivative of 7*d**4/6 + 12*d - 3. Determine g(n(r)).", "a": "10976*r**2" }, { "q": "Let h(x) = 2*x**2 + 7321*x - 1. Let i(z) = -23*z + 1. Give h(i(f)).", "a": "1058*f**2 - 168475*f + 7322" }, { "q": "Let n(q) = -2354*q**2. Let g(p) = -6099*p**2. What is n(g(w))?", "a": "-87563623554*w**4" }, { "q": "Let p(x) = 2*x. Let o(v) = 133*v**2 + 872*v + 2. What is o(p(y))?", "a": "532*y**2 + 1744*y + 2" }, { "q": "Let s(h) = 44*h**2 + 24*h + 24. Let t(q) = -18*q**2 - 10*q - 10. Let v(g) = -5*s(g) - 12*t(g). Let p(n) = 2*n - 447. Calculate p(v(u)).", "a": "-8*u**2 - 447" }, { "q": "Let i(o) = -o**2. Let q(k) be the second derivative of -k**2 + 4*k**3 + 4*k**2 - 3*k**2 + 15*k. Calculate q(i(r)).", "a": "-24*r**2" }, { "q": "Let o(t) be the second derivative of -7*t**3/3 + 1378*t. Let m(z) = -24*z**2 - 1. Give o(m(r)).", "a": "336*r**2 + 14" }, { "q": "Let u(q) = 113945*q**2. Let c(o) = -113*o**2. Determine c(u(s)).", "a": "-1467131321825*s**4" }, { "q": "Let k(v) = -3*v**2 + 20. Let u(p) = -2178 + 2178 - 3*p. Determine k(u(o)).", "a": "-27*o**2 + 20" }, { "q": "Let u(q) = -782*q. Let y(m) = 1097*m**2. Calculate u(y(l)).", "a": "-857854*l**2" }, { "q": "Let u(y) be the third derivative of -3*y**5/20 - 400*y**2 + 3. Let w(h) = 70*h. What is w(u(m))?", "a": "-630*m**2" }, { "q": "Let h(r) = r**2 - 9229. Let d(j) = 685*j**2. What is h(d(z))?", "a": "469225*z**4 - 9229" }, { "q": "Let a(m) = -29*m. Let l(k) = 166760*k. What is l(a(u))?", "a": "-4836040*u" }, { "q": "Let j be (1586/988 - (-2)/(-19)) + (-6)/4. Let f(y) be the second derivative of 0*y**3 - 1/6*y**4 + 0 + j*y**2 - 10*y. Let u(p) = -41*p**2. What is u(f(m))?", "a": "-164*m**4" }, { "q": "Let n(u) be the second derivative of u**3/2 - 1067*u. Let g(k) = 288*k**2. Calculate g(n(q)).", "a": "2592*q**2" }, { "q": "Let l(a) = a + 238 + 138 - 376. Let x(v) = -28*v**2 - 12*v. Let z(u) = -u. Let d(t) = -2*x(t) + 24*z(t). Determine d(l(n)).", "a": "56*n**2" }, { "q": "Let d(v) = 156*v - 304*v - 5*v**2 + 148*v + 9*v**2. Let j(y) = -80*y**2. Give d(j(f)).", "a": "25600*f**4" }, { "q": "Let z(s) be the second derivative of -s**3/6 - 30*s - 5. Let g(f) = 0*f**2 + 8*f**2 + 15*f**2. What is z(g(r))?", "a": "-23*r**2" }, { "q": "Let x(y) = 15*y + 24. Let k(v) = v. Let m(w) = -12*k(w) + x(w). Let h(i) be the second derivative of i**3/3 + 18*i. Give m(h(a)).", "a": "6*a + 24" }, { "q": "Let h(d) = 78*d**2 + 95*d**2 - 263*d**2. Let q(l) be the third derivative of -l**4/24 - 6*l**2 - 10. Calculate q(h(c)).", "a": "90*c**2" }, { "q": "Let p(w) = -6*w. Suppose 2*a + v = 66, -3*a = 4*v + 2 - 111. Let j(f) = -9*f**2 - 14*f**2 + a*f**2 - 9*f**2. Give j(p(z)).", "a": "-36*z**2" }, { "q": "Let y(i) = 460*i. Let c(z) = -8*z + 11*z - 7*z + 11*z - 2*z. What is c(y(g))?", "a": "2300*g" }, { "q": "Suppose 173 = -4*l - 79. Let v be 68/18 + (-14)/l. Let y(f) = v*f + f**2 - 3*f - f. Let p(k) = -3*k**2. Calculate y(p(s)).", "a": "9*s**4" }, { "q": "Let a(p) = -16 - p + 16. Let q(l) be the third derivative of l**7/360 + 19*l**5/60 - 8*l**2. Let o(y) be the third derivative of q(y). Calculate o(a(x)).", "a": "-14*x" }, { "q": "Let t(j) be the first derivative of -j**2 - 3. Let l(w) = -9*w - 132. Let k(c) = -c - 44. Let y(v) = 6*k(v) - 2*l(v). Determine y(t(f)).", "a": "-24*f" }, { "q": "Let o(n) = 9*n + 11. Let l(r) = 8*r + 17. Let v(k) = -2*l(k) + 3*o(k). Let x(m) = -2*m. Give x(v(f)).", "a": "-22*f + 2" }, { "q": "Let z(i) = i**2. Let o(u) = 89*u**2 + 245*u - 35. Determine o(z(j)).", "a": "89*j**4 + 245*j**2 - 35" }, { "q": "Let d(p) = -658*p + 1298*p - 691*p. Let x(o) = -39*o**2. Calculate d(x(h)).", "a": "1989*h**2" }, { "q": "Let z(a) = a**2 + 861*a. Let f(h) = 22156*h**2. Give z(f(v)).", "a": "490888336*v**4 + 19076316*v**2" }, { "q": "Let p(b) = 9*b**2 - 7*b. Let q(m) = -5*m + 22. Determine q(p(t)).", "a": "-45*t**2 + 35*t + 22" }, { "q": "Let n(s) = 4*s. Let j(h) = 5874034*h. Give j(n(k)).", "a": "23496136*k" }, { "q": "Let v(g) = 5*g**2 - 4. Let w(m) = 3454*m. What is v(w(d))?", "a": "59650580*d**2 - 4" }, { "q": "Let u(z) = 0*z**2 + 2*z + 3*z + 0*z - 2*z**2. Let r(y) = -2*y**2 + 4*y. Let l(g) = 5*r(g) - 4*u(g). Let q(n) = 18*n - 12*n - 7*n. Give l(q(c)).", "a": "-2*c**2" }, { "q": "Let c(d) = 8*d. Let q(g) = -16*g + 9*g + 4*g. Let z(y) = -2*c(y) - 5*q(y). Let n(r) = -24*r. Let l(j) = -16*j. Let s(x) = 8*l(x) - 5*n(x). Determine z(s(t)).", "a": "8*t" }, { "q": "Let t(k) = -4*k - 17. Let p(n) = -200*n**2 + 45*n - 90. Let l(f) = -9*f**2 + 2*f - 4. Let j(w) = 90*l(w) - 4*p(w). Give j(t(y)).", "a": "-160*y**2 - 1360*y - 2890" }, { "q": "Let p(k) = 7*k**2 - 86. Let y(t) = -1882*t. What is p(y(g))?", "a": "24793468*g**2 - 86" }, { "q": "Let d(o) = 9*o**2. Let u(h) be the first derivative of 59*h**3/3 - 647. Give u(d(i)).", "a": "4779*i**4" }, { "q": "Let g(s) = 3*s. Suppose -568*y + 2 = -567*y. Suppose -3*q - 2*q = 2*n, -10 = 5*q. Let m(d) = 2*d**2 + n*d**y - 5*d**2 + 3*d**2. Calculate g(m(a)).", "a": "15*a**2" }, { "q": "Let c(v) = -184*v + 54. Let z(s) = -235*s + 69. Let n(a) = 23*c(a) - 18*z(a). Let h(m) = -6*m**2 - 12*m**2 - m + 5*m. Determine n(h(t)).", "a": "36*t**2 - 8*t" }, { "q": "Let a(o) = -17*o. Let j(n) be the third derivative of -53*n**4/12 - 103*n**2 + 4. Calculate j(a(g)).", "a": "1802*g" }, { "q": "Let w(i) = 33*i**2 - 26*i. Let r(j) = 8*j**2 - 6*j. Let u = 54 + -28. Let f(q) = u*r(q) - 6*w(q). Let z(x) = 4*x. Give f(z(p)).", "a": "160*p**2" }, { "q": "Let q(h) = 3*h**2. Suppose -r = -f + 5 - 57, -r + 55 = -2*f. Let x = r + -47. Let i(w) = -14*w**x + 7*w**2 + 10*w**2. Determine q(i(k)).", "a": "27*k**4" }, { "q": "Let s(l) = 13470700*l**2. Let d(b) = -2*b**2. Determine d(s(n)).", "a": "-362919516980000*n**4" }, { "q": "Let h(w) = -7 + 6 + 328*w - 316*w + 1. Let m(y) be the first derivative of -y**2/2 + 1. What is h(m(j))?", "a": "-12*j" }, { "q": "Let s = 12 + -10. Suppose s*h - 6*h - 10 = -2*u, -3*u = -5*h - 13. Let q(z) = 4*z - 2*z + u - 1. Let b(w) = 8*w**2. Give b(q(t)).", "a": "32*t**2" }, { "q": "Let o(y) = -61*y**2. Let h(q) = 102798*q. Determine o(h(v)).", "a": "-644613157044*v**2" }, { "q": "Let r(a) = 7*a + 264 - 264 - 5*a. Let w(y) be the first derivative of y**3 - 3*y**3 - 1 + 2. Give w(r(s)).", "a": "-24*s**2" }, { "q": "Let h(v) = -36*v + 4292. Let a(w) = -2*w. Give a(h(r)).", "a": "72*r - 8584" }, { "q": "Let g(u) = -2*u - 79. Let l(w) = w + 23. Let v(r) = 2*g(r) + 6*l(r). Let p(k) = 3*k. Determine v(p(o)).", "a": "6*o - 20" }, { "q": "Let x(t) = -4*t**2 - 4*t. Suppose -2*u = -2*r + 12, 3*u = 2*r - 5*r - 6. Let q(c) = 145*c**2 + 145*c**2 - 293*c**r. What is q(x(h))?", "a": "-48*h**4 - 96*h**3 - 48*h**2" }, { "q": "Let r(i) = -35*i. Let h(n) = 9*n**2. Let s(y) = -10*y**2. Let f(v) = -4*h(v) - 5*s(v). What is f(r(t))?", "a": "17150*t**2" }, { "q": "Let k(b) = 270*b. Let m(i) = i + 9100. What is k(m(d))?", "a": "270*d + 2457000" }, { "q": "Let h(m) = 164*m. Let a(j) be the third derivative of j**4/24 + 14*j**2 - 3. What is h(a(k))?", "a": "164*k" }, { "q": "Let x(b) = -20*b. Let v be (-78)/15 + 5 - 126/(-5). Let g(l) = 25*l - 46*l + v*l. What is g(x(d))?", "a": "-80*d" }, { "q": "Let v(a) = -3*a + 0*a**2 + 3*a + 38*a**2. Let y(c) be the second derivative of 0 - 13*c - 1/3*c**3 + 0*c**2. What is y(v(d))?", "a": "-76*d**2" }, { "q": "Let i(g) = 8*g**2 + 4*g + 4. Let n(w) = -7*w**2 - 3*w - 3. Let f(k) = 3*i(k) + 4*n(k). Let q(h) = -2*h**2 - 5*h**2 + 5*h**2 + 4*h**2. Calculate f(q(d)).", "a": "-16*d**4" }, { "q": "Let g(l) = 225*l. Let i(a) = -1884*a + 4. What is i(g(v))?", "a": "-423900*v + 4" }, { "q": "Let k(c) = -2*c. Let o(s) = -8*s - 29. Let f be o(-12). Let i(h) = 67 - f + 5*h. What is k(i(y))?", "a": "-10*y" }, { "q": "Let x(s) = s + 2879261. Let i(k) = -k. Determine x(i(b)).", "a": "-b + 2879261" }, { "q": "Let a(w) be the first derivative of -w**2/2 + 39. Let b(y) be the first derivative of -27*y**2/2 + 40. Determine a(b(d)).", "a": "27*d" }, { "q": "Let x(y) = -54*y**2 - y. Let c(o) = 14229*o**2. Determine x(c(k)).", "a": "-10933079814*k**4 - 14229*k**2" }, { "q": "Let d(j) be the second derivative of -j**4/6 + 1583*j. Let f(s) = 720*s. Give f(d(b)).", "a": "-1440*b**2" }, { "q": "Let l(s) = 61*s**2. Let v(k) = -7833*k - 3 + 3 + 7841*k. Calculate l(v(u)).", "a": "3904*u**2" }, { "q": "Let o(f) = 241*f**2. Let i(h) = 92302*h. Calculate i(o(k)).", "a": "22244782*k**2" }, { "q": "Let y(m) = -2*m**2 - 19*m. Let i(b) = -9*b. Let z(w) be the first derivative of w**2 + 64. Let o(q) = -i(q) - 5*z(q). Give y(o(a)).", "a": "-2*a**2 + 19*a" }, { "q": "Let q(i) be the second derivative of 5*i**3/6 + 2*i - 697. Let n(a) be the third derivative of a**5/4 + 2*a**2. What is n(q(f))?", "a": "375*f**2" }, { "q": "Let j(t) = -589*t**2. Let y(w) = 11*w**2 - 12*w. Let h(l) = -19*l**2 + 21*l. Let d(n) = 4*h(n) + 7*y(n). Give j(d(m)).", "a": "-589*m**4" }, { "q": "Let b(q) = 706*q**2. Let j(v) = -16448*v. Give j(b(k)).", "a": "-11612288*k**2" }, { "q": "Let c(p) = 2*p**2. Let a(o) = 596*o**2 - 6*o + 12. Let w be a(-8). Let v(b) = b - 38204 + w. Give c(v(q)).", "a": "2*q**2" }, { "q": "Let j(i) = -2*i - 1892. Let h(y) = 2*y**2 + 732*y. Calculate j(h(s)).", "a": "-4*s**2 - 1464*s - 1892" }, { "q": "Let x(t) = -117*t. Let w(g) = -30 - 1 + 4*g + 20 + 11. Determine w(x(z)).", "a": "-468*z" }, { "q": "Let h(u) = -2*u**2. Suppose 652 = 5*w + 4*v, 5*v - v + 272 = 2*w. Let p(c) = -2*c + 1. Let n(o) = 440*o - 132. Let z(a) = w*p(a) + n(a). Determine h(z(k)).", "a": "-61952*k**2" }, { "q": "Let m(o) = o**2 + 2*o - 1. Let r(x) = 42*x - 34*x - 1 + 2*x**2 + 0 - 3. Let p(f) = 4*m(f) - r(f). Let h(l) = l**2 - 15*l. Calculate h(p(k)).", "a": "4*k**4 - 30*k**2" }, { "q": "Let v(b) = 3*b. Let m(g) = -5478737*g. Determine m(v(i)).", "a": "-16436211*i" }, { "q": "Let k(i) = -3*i + 8. Let g(m) = m - 3. Let z(r) = -8*g(r) - 3*k(r). Let p(n) = -97 + 42 + 241*n - 239*n + 36 + 47. Give p(z(q)).", "a": "2*q + 28" }, { "q": "Let g(h) = 451*h. Let v(p) = -28024*p**2. Determine g(v(q)).", "a": "-12638824*q**2" }, { "q": "Let y be 12/(-30)*(-9995)/2. Let z(g) = -1999*g + g**2 + y*g. Let l(m) = -92*m**2 - 2. What is z(l(h))?", "a": "8464*h**4 + 368*h**2 + 4" }, { "q": "Let n(a) be the second derivative of -3*a**4/2 - a**2 - 20*a. Let i(u) = -275 + 2*u + 275. Determine i(n(l)).", "a": "-36*l**2 - 4" }, { "q": "Let c(m) = 7*m + 18. Let v(w) = -2*w - 3. Let d(z) = c(z) + 6*v(z). Let t(h) = -175*h**2. What is t(d(j))?", "a": "-4375*j**2" }, { "q": "Let r(j) = -3*j + j - 2*j. Let u(c) = 42*c + 119. Let y(v) = 21*v + 51. Let b(m) = 3*u(m) - 7*y(m). Calculate b(r(q)).", "a": "84*q" }, { "q": "Let b(n) = -5*n**2. Let f(k) = 3*k + 3*k - 3*k + 0*k. Let p(x) = 4*x. Let m(o) = -6*f(o) + 5*p(o). Determine m(b(s)).", "a": "-10*s**2" }, { "q": "Let h(r) = -16*r**2. Let f(g) = 764208*g**2. What is f(h(a))?", "a": "195637248*a**4" }, { "q": "Let u(a) = -3*a. Let v(l) = -714*l**2 - 35*l + 12. Let t(p) = -714*p**2 - 44*p + 15. Let q(g) = -4*t(g) + 5*v(g). Determine q(u(y)).", "a": "-6426*y**2 - 3*y" }, { "q": "Let h(u) = -56*u**2 - 75*u + 108*u - 33*u. Let n(g) = -13*g**2. Calculate h(n(v)).", "a": "-9464*v**4" }, { "q": "Let f(j) = 218400*j**2. Let i(b) = -b**2. Give f(i(c)).", "a": "218400*c**4" }, { "q": "Let f(r) be the first derivative of r**3/3 - 10*r - 1506. Let w(g) = 4*g. Give f(w(s)).", "a": "16*s**2 - 10" }, { "q": "Let t(d) = d + d - 2*d + 3*d. Let y(a) = -a**2 + 483*a. Determine y(t(h)).", "a": "-9*h**2 + 1449*h" }, { "q": "Let h(c) be the second derivative of c**6/360 + 53*c**3/6 + c**2 + 75*c. Let m(f) be the second derivative of h(f). Let a(z) = 11*z. What is a(m(r))?", "a": "11*r**2" }, { "q": "Let w(p) = -19*p**2 - 95*p - 95. Let d(z) = -z - 1. Let r(y) = -95*d(y) + w(y). Let j(n) be the first derivative of 13 + 0*n - 1/2*n**2. Give j(r(a)).", "a": "19*a**2" }, { "q": "Let u(p) = -p**2. Let c(k) = 4658518*k. Calculate u(c(j)).", "a": "-21701789956324*j**2" }, { "q": "Let u(z) = 5*z**2. Let y(n) = 537303*n. What is u(y(v))?", "a": "1443472569045*v**2" }, { "q": "Let u(w) = -12*w**2 + 29001*w. Let r(m) = 13*m. Determine r(u(g)).", "a": "-156*g**2 + 377013*g" }, { "q": "Let b(k) = k**2 - k - 1. Let c(d) = 149*d**2 - 7*d - 5. Let w(s) = 5*b(s) - c(s). Let l(v) = -5*v. What is l(w(u))?", "a": "720*u**2 - 10*u" }, { "q": "Let o(z) be the first derivative of -z**2 - 45*z - 885. Let b(q) = 14*q**2. Determine b(o(p)).", "a": "56*p**2 + 2520*p + 28350" }, { "q": "Let l(y) be the second derivative of 0*y**2 - 66*y + 0 + 1/3*y**3. Let j(k) = 115*k**2. What is l(j(v))?", "a": "230*v**2" }, { "q": "Let f(q) = 52459*q**2. Let x(d) = -58*d**2. What is x(f(s))?", "a": "-159612907498*s**4" }, { "q": "Let y(w) = -w + 44. Let k be y(16). Suppose k + 26 = 6*o. Let c(f) = f + 4*f - o*f. Let i(p) = 2*p**2. What is i(c(v))?", "a": "32*v**2" }, { "q": "Let h(u) = 19*u**2. Let y(i) = -155647*i**2. What is h(y(g))?", "a": "460293783571*g**4" }, { "q": "Let k(g) = -47*g. Let m(t) = -10*t**2 - 3*t + 8*t**2 + t**2 + 3*t. Determine m(k(n)).", "a": "-2209*n**2" }, { "q": "Let p(k) = -8112*k. Let t(w) = 37*w + 4. Calculate t(p(y)).", "a": "-300144*y + 4" }, { "q": "Let i(a) = a - 150. Let w(s) = -19*s**2 - 4*s. Calculate i(w(p)).", "a": "-19*p**2 - 4*p - 150" }, { "q": "Let z(v) = 59*v**2. Let m(b) = b - 44780. Determine m(z(c)).", "a": "59*c**2 - 44780" }, { "q": "Let b(n) = -2*n**2 + 26. Let o(r) be the first derivative of r**4/12 - 78*r - 11. Let z(m) be the first derivative of o(m). What is b(z(h))?", "a": "-2*h**4 + 26" }, { "q": "Let v(m) be the first derivative of -37*m**3/3 + 3. Let b be (-2105)/(-45) - -2*(-3)/(-27). Let k(y) = 46*y - 1 + 1 - b*y. Determine v(k(p)).", "a": "-37*p**2" }, { "q": "Let u(v) be the third derivative of -v**5/30 - 5709*v**2 - 2*v. Let t(q) = 3*q**2 + 6*q - q + 5*q. Determine t(u(z)).", "a": "12*z**4 - 20*z**2" }, { "q": "Let z(l) = l. Let m(g) = 6*g. Let f(o) = -m(o) + 8*z(o). Let y(w) = 13 + 55*w + 0 - 20 + 1. Let s(i) = 53*i - 5. Let h(p) = 6*s(p) - 5*y(p). Calculate h(f(a)).", "a": "86*a" }, { "q": "Let d(k) = 59*k - 2. Let n(o) = 37981*o. Give d(n(v)).", "a": "2240879*v - 2" }, { "q": "Let p(o) be the first derivative of -o**3 + 3. Let n(g) = -3*g + 4*g - 2*g**2 - 28*g**2 - 16*g**2. Calculate p(n(r)).", "a": "-6348*r**4 + 276*r**3 - 3*r**2" }, { "q": "Let m(j) = -j. Suppose 5*l - 3*f - 752 = -f, 0 = 2*l - 5*f - 284. Let b(v) = 307 + 51*v**2 - 155 - l. What is m(b(o))?", "a": "-51*o**2" }, { "q": "Let k = -10877/3 - -3627. Let r(d) be the first derivative of -k*d**3 + 2 + 0*d**2 + 0*d. Let m(h) = -h**2. What is r(m(l))?", "a": "-4*l**4" }, { "q": "Let l(p) = 2*p. Let y(r) = -74*r - 9. Let o(c) = 9702*c + 1176. Let s(z) = 3*o(z) + 392*y(z). Give l(s(n)).", "a": "196*n" }, { "q": "Let f(r) = -307*r**2 - 19*r + 3. Let l(c) = -9*c**2. Calculate f(l(s)).", "a": "-24867*s**4 + 171*s**2 + 3" }, { "q": "Let y(l) = 1383*l**2. Let g(v) = -674*v. Calculate y(g(s)).", "a": "628263708*s**2" }, { "q": "Let p(q) = 156*q**2 - 32. Let b(j) = -13728*j**2 + 2808. Let k(a) = 4*b(a) + 351*p(a). Let s(n) = 2*n**2. Calculate s(k(l)).", "a": "48672*l**4" }, { "q": "Let i(a) = -6*a + 52 - 53 - 4*a + 33. Let j(q) = -3*q + 10. Let t(f) = -5*i(f) + 16*j(f). Let v(d) = 78*d. Calculate v(t(y)).", "a": "156*y" }, { "q": "Let m(t) = -191*t**2. Let b(h) = 5*h + 1360. Determine b(m(j)).", "a": "-955*j**2 + 1360" }, { "q": "Let u(j) = -109*j**2. Let i(v) = -8*v**2 + 152*v. What is i(u(z))?", "a": "-95048*z**4 - 16568*z**2" }, { "q": "Let p(n) = -8*n. Let l(w) be the first derivative of -5*w**2/2 - 15*w - 6. Let y be l(-6). Let h(o) = 8*o - y*o + 5*o. Give p(h(i)).", "a": "16*i" }, { "q": "Let a(u) be the first derivative of -u**3/2 + 18*u - 52. Let y(g) be the first derivative of a(g). Let r(j) = 23*j. Give y(r(x)).", "a": "-69*x" }, { "q": "Let q(s) = 11*s - 2. Let r(x) = -9*x - 2. Let o(j) = q(j) - 2*r(j). Let g(m) = 42*m + 2*m**2 - 42*m. Give g(o(t)).", "a": "1682*t**2 + 232*t + 8" }, { "q": "Let p(f) = -2*f. Let i(b) = -293153*b**2 - b. Determine p(i(w)).", "a": "586306*w**2 + 2*w" }, { "q": "Let m(f) = -f**2. Let n(z) = -2544388*z**2 + 20277*z + 6759. Let x(g) = -753*g**2 + 6*g + 2. Let p(l) = -2*n(l) + 6759*x(l). Determine m(p(w)).", "a": "-564001*w**4" }, { "q": "Let r(p) = -8*p**2. Let a = 192 - 190. Let j(f) = -a*f**2 - 3561*f + 3561*f. Determine j(r(t)).", "a": "-128*t**4" }, { "q": "Let w(m) = 11*m. Suppose 0 = -a + 46 - 51. Let p(t) = 2*t. Let u(y) = a*p(y) + w(y). Let z(d) = d. Give z(u(l)).", "a": "l" }, { "q": "Let a(s) = -5*s**2 - 11*s**2 - 7*s**2 + 23*s**2 - 3*s**2. Let t(w) = -6*w**2 - 18. Give t(a(c)).", "a": "-54*c**4 - 18" }, { "q": "Let s(j) = 29*j. Let w(x) = -19*x - 18*x - 28*x - 16*x + 57*x. Calculate w(s(t)).", "a": "-696*t" }, { "q": "Let d(s) be the third derivative of s**4/12 - 29*s**2. Let w be (-3)/((21/2)/(-7)). Let z(j) = 25*j**2 - 7*j**w - j**2. Calculate z(d(n)).", "a": "68*n**2" }, { "q": "Let u(a) = -6*a**2. Let r(i) = -270396*i. What is u(r(z))?", "a": "-438683980896*z**2" }, { "q": "Let x(f) = f**2. Let z(q) = 16*q**2 - 7*q - 7. Let h(a) = -a - 3 + 4 - 8*a**2 + 5*a + 3. Let s(r) = 7*h(r) + 4*z(r). Calculate x(s(v)).", "a": "64*v**4" }, { "q": "Let j(i) = 3*i + 1. Let m(g) = -3*g**2 - 697*g. Calculate m(j(s)).", "a": "-27*s**2 - 2109*s - 700" }, { "q": "Let z(f) = -843*f + 1743*f - 889*f. Let c(w) = -4*w**2 + 4*w**2 + 2*w**2. Give z(c(n)).", "a": "22*n**2" }, { "q": "Let g(v) = 32 + 16 + 13*v - 48. Let s(y) be the second derivative of -5*y**3/6 + 31*y. What is s(g(w))?", "a": "-65*w" }, { "q": "Let a(s) = -31*s. Let b(o) = -297745*o**2. Determine b(a(g)).", "a": "-286132945*g**2" }, { "q": "Let g(c) be the third derivative of 17*c**5/60 + 13*c**2 - 24. Let b(v) = -6*v**2. What is b(g(s))?", "a": "-1734*s**4" }, { "q": "Let i(d) = -d. Let p(v) = 3565458*v**2. Calculate i(p(u)).", "a": "-3565458*u**2" }, { "q": "Let o(h) = h. Let w(f) be the third derivative of -f**8/1120 - f**5/20 - 2*f**3/3 + 71*f**2. Let u(b) be the third derivative of w(b). Give o(u(z)).", "a": "-18*z**2" }, { "q": "Let q(l) = -l. Let m(f) = -33251637*f**2. Determine m(q(b)).", "a": "-33251637*b**2" }, { "q": "Let a(x) = -14*x. Let f(i) = -8*i - 44786. Calculate a(f(r)).", "a": "112*r + 627004" }, { "q": "Let d(x) = -x**2. Let c(o) = 1895*o**2 + 55*o. Calculate c(d(r)).", "a": "1895*r**4 - 55*r**2" }, { "q": "Let k(h) = -1421*h**2. Let r(l) = -3*l + 24. Let t(w) = -w + 4. Let x(v) = -r(v) + 6*t(v). Give k(x(o)).", "a": "-12789*o**2" }, { "q": "Let t(g) = 2*g - 6. Let y(a) = -3*a + 10. Suppose 15 + 20 = -7*h. Let q(j) = h*t(j) - 3*y(j). Let s(r) = 37*r**2. Determine s(q(w)).", "a": "37*w**2" }, { "q": "Let u(q) = -11*q + 316624. Let n(l) = 2*l**2. Give u(n(d)).", "a": "-22*d**2 + 316624" }, { "q": "Let q be (-4 - -1) + (-3 + 2)*-8. Let k(u) = -22*u - 246 + q*u + 246. Let d(r) = 3*r**2. What is k(d(f))?", "a": "-51*f**2" }, { "q": "Let z(u) = -35*u. Let v(i) = 2*i - 8. Let t(c) = -8*c + 117. Let p be t(15). Let w(n) = -n + 3. Let r(x) = p*v(x) - 8*w(x). Give r(z(f)).", "a": "-70*f" }, { "q": "Let z(h) = 2*h. Let o(l) = 4*l**2 + 23*l - 1. Let m be o(-6). Let s(g) = -64 + 64 + m*g**2. What is s(z(w))?", "a": "20*w**2" }, { "q": "Let n(f) = 12134*f**2 - 6033*f**2 - 6002*f**2. Let a(h) be the third derivative of h**5/30 - h**2. Determine a(n(i)).", "a": "19602*i**4" }, { "q": "Let q(c) = -261950*c. Let l(d) = 33*d**2. What is l(q(o))?", "a": "2264387482500*o**2" }, { "q": "Let n(u) = -146078*u. Let r(v) = -10*v**2. Give r(n(q)).", "a": "-213387820840*q**2" }, { "q": "Let z(y) be the first derivative of 14 + 0*y + 8*y**2 + 0*y**3 + 5/24*y**4. Let p(a) be the second derivative of z(a). Let f(r) = 3*r**2. Determine p(f(l)).", "a": "15*l**2" }, { "q": "Let c(j) = -2*j + 2*j + 13353*j**2 - 13362*j**2. Let u(r) = 10*r. Give u(c(z)).", "a": "-90*z**2" }, { "q": "Let s(g) = -1432*g - 34. Let h(t) = 179*t + 4. Let o(p) = 51*h(p) + 6*s(p). Let w(k) = k. Determine o(w(q)).", "a": "537*q" }, { "q": "Let j(s) = -3*s. Let h(n) be the third derivative of -n**6/45 + 37*n**3/6 - 2*n**2 + 14*n. Let r(w) be the first derivative of h(w). What is r(j(c))?", "a": "-72*c**2" }, { "q": "Let x(m) = 425*m**2. Let l(c) = -20*c - 5. Let p(q) = 23*q + 6. Let y(f) = 6*l(f) + 5*p(f). What is x(y(g))?", "a": "10625*g**2" }, { "q": "Let o(k) = -k + 3. Suppose y - 3*y - 5*m = -4, -2*y + m = 8. Let j(a) = a - 2. Let g(p) = y*j(p) - 2*o(p). Let q(f) = -6*f - 23. Calculate g(q(x)).", "a": "6*x + 23" }, { "q": "Let g(n) = -897*n. Let w(v) = 4*v**2 - 9*v + 9. Let y(p) = -p**2 + 2*p - 2. Let q(o) = 2*w(o) + 9*y(o). Calculate g(q(s)).", "a": "897*s**2" }, { "q": "Let p(r) = 8*r. Let w(q) = -q. Let g = 1 - 11. Let f be (g/(-15))/(1/6) + -3. Let c(v) = f*p(v) + 10*w(v). Let z(k) = 2*k**2. Determine z(c(m)).", "a": "8*m**2" }, { "q": "Let a(k) = 2*k**2. Let o(w) be the third derivative of 109*w**5/60 - 14*w**2 - 32. What is a(o(q))?", "a": "23762*q**4" }, { "q": "Let y(f) = 2*f**2 - f - 1. Let v be (-5)/15 + (-4)/6. Let x(i) = -4*i**2 + 6*i + 6. Let z(m) = v*x(m) - 6*y(m). Let r(p) = -6*p**2. Calculate z(r(n)).", "a": "-288*n**4" }, { "q": "Let i(q) = 94*q + 17 - 8 - 111*q - 9. Let h(s) = s + 6. Determine i(h(x)).", "a": "-17*x - 102" }, { "q": "Let w(a) = 2*a**2. Let x(d) = -49*d + 14. Let j be x(-1). Let i(t) = 48*t**2 - 42*t. Let f(k) = -k**2 + 2*k. Let q(p) = j*f(p) + 3*i(p). Calculate q(w(s)).", "a": "324*s**4" }, { "q": "Let r = -3927 - -3927. Let j(a) be the third derivative of 0 - 1/12*a**4 + r*a**3 + 9*a**2 + 0*a. Let y(l) = -6*l. Calculate y(j(v)).", "a": "12*v" }, { "q": "Let p(a) be the third derivative of -a**4/6 - a**3/6 + 3*a**2. Let c(g) = -25*g. Calculate p(c(q)).", "a": "100*q - 1" }, { "q": "Let m(s) = -5*s. Let p(u) be the first derivative of -608*u**3/3 + 129. Determine p(m(q)).", "a": "-15200*q**2" }, { "q": "Suppose 9*m + 18 = 8*m. Let k = m + 20. Let n(v) = -10*v**2 - 4*v**k + 19*v**2. Let l(g) = -4*g**2. Calculate n(l(o)).", "a": "80*o**4" }, { "q": "Let p(a) = 3*a. Let f(j) = 6017106*j. Calculate p(f(k)).", "a": "18051318*k" }, { "q": "Let g(c) be the second derivative of -c**4/6 - c. Let t(y) be the first derivative of -113*y**2/2 + 2708. Determine g(t(o)).", "a": "-25538*o**2" }, { "q": "Let x(i) = -855*i**2 - 75*i - 75. Let h(n) = 23*n**2 + 2*n + 2. Let p(o) = -75*h(o) - 2*x(o). Let j(a) = -43*a. Calculate j(p(v)).", "a": "645*v**2" }, { "q": "Let w(x) = 10*x**2 + 7*x + 49. Let c(d) = d**2 + d + 7. Let r(i) = 7*c(i) - w(i). Let g(u) be the second derivative of u**4/12 - 3*u. What is g(r(f))?", "a": "9*f**4" }, { "q": "Let y = -154 + 200. Let r(k) = -118*k - k - y*k. Let h(l) = -2*l. What is h(r(i))?", "a": "330*i" }, { "q": "Let y(b) be the first derivative of b**3 - 363. Let t(k) = -206*k. Determine y(t(o)).", "a": "127308*o**2" }, { "q": "Let a(k) be the first derivative of k**2 + 566. Let m(l) = -1447*l. Give a(m(x)).", "a": "-2894*x" }, { "q": "Let o(s) = -3*s**2 - 8*s. Let a(v) = -4*v - 24682. Calculate a(o(l)).", "a": "12*l**2 + 32*l - 24682" }, { "q": "Let t(v) = 27*v**2 + 2*v - 3346. Let j(k) = -k**2. Give t(j(c)).", "a": "27*c**4 - 2*c**2 - 3346" }, { "q": "Let j(b) = -b**2 + 15*b + 1. Let k(c) = -16*c**2 + 178*c + 12. Let x(r) = -12*j(r) + k(r). Let s(g) = -4*g**2. Give x(s(z)).", "a": "-64*z**4 + 8*z**2" }, { "q": "Let c(b) = 23*b. Let h(z) be the third derivative of 23*z**4/24 + 956*z**2. Give c(h(m)).", "a": "529*m" }, { "q": "Let r(t) = 3*t**2. Let b(z) = -73250*z**2. Give b(r(x)).", "a": "-659250*x**4" }, { "q": "Let o(u) = 852224*u. Let f(p) = 6*p**2. Determine f(o(c)).", "a": "4357714477056*c**2" }, { "q": "Let w(i) be the second derivative of -2*i**4 - 20*i - 5. Let q(d) = -83*d. What is q(w(k))?", "a": "1992*k**2" }, { "q": "Let o(w) be the second derivative of 4*w**5/3 - 65*w**2/2 - 2*w - 1. Let i(q) be the first derivative of o(q). Let d(x) = x**2. Give i(d(t)).", "a": "80*t**4" }, { "q": "Let h(r) = 67263*r + 1. Let y(c) = -30*c**2. Give h(y(m)).", "a": "-2017890*m**2 + 1" }, { "q": "Suppose 4*l = -l + 15. Let d(b) = 0*b - b + 6*b + l*b. Let p(o) = -1. Let m(s) = -2*s + 3. Let x(u) = m(u) + 3*p(u). What is x(d(v))?", "a": "-16*v" }, { "q": "Let o(l) = 8*l**2 + 4*l + 4. Suppose 0 + 5 = 5*a. Let x(d) = -d**2 + d + 1. Let h(s) = a*o(s) - 4*x(s). Let y(j) = 9*j. Give y(h(c)).", "a": "108*c**2" }, { "q": "Let w(h) be the third derivative of -191*h**8/20160 + h**5/20 + 3*h**2 + 20*h. Let j(g) be the third derivative of w(g). Let y(c) = c. Calculate j(y(m)).", "a": "-191*m**2" }, { "q": "Let d(l) be the third derivative of 1/60*l**5 + 0 - 7*l**2 + 0*l + 0*l**4 + 0*l**3. Let k(t) = -9*t - 12*t - 2*t. Calculate k(d(g)).", "a": "-23*g**2" }, { "q": "Let s(v) = -v. Let b(p) be the first derivative of 1246*p**3 - 1327. Give s(b(a)).", "a": "-3738*a**2" }, { "q": "Let l(a) = -3*a**2. Let g be ((-20)/(-6))/(0 + 1/(-6)). Let z = g + 26. Let m(k) = 12*k - z*k - 4*k. Give l(m(p)).", "a": "-12*p**2" }, { "q": "Let m = 595 - 425. Let v(y) = 170 + 4*y - m. Let l(r) be the second derivative of -r**4/4 + 16*r. What is v(l(n))?", "a": "-12*n**2" }, { "q": "Let q(i) = -555*i - 4. Let l(j) = 161*j - 4. What is q(l(r))?", "a": "-89355*r + 2216" }, { "q": "Let p(l) = -358585*l. Let a(s) = -4*s**2. Calculate p(a(t)).", "a": "1434340*t**2" }, { "q": "Let l(h) = 3*h**2. Suppose -13 + 5 = -4*s. Let o(x) = -4*x**s - 11*x**2 + 13*x**2. Give l(o(y)).", "a": "12*y**4" }, { "q": "Let p(m) = -2*m**2. Let s(k) = -25*k - 8830. Give s(p(a)).", "a": "50*a**2 - 8830" }, { "q": "Let h(b) be the third derivative of b**5/30 + 4*b**2 - 357. Suppose a - 40 = -3*a. Let w(x) = 6*x**2 + a*x**2 - 3*x**2. What is w(h(r))?", "a": "52*r**4" }, { "q": "Let z(t) = -32722*t - 11. Let f(a) = -3*a**2. What is z(f(v))?", "a": "98166*v**2 - 11" }, { "q": "Let d(m) be the third derivative of -m**5/20 - 4*m**2 - 21*m. Let x(f) = 98*f. Give x(d(n)).", "a": "-294*n**2" }, { "q": "Let y(f) = 3 + 1 + 1 - 5 - 5*f. Let o(r) = 8*r - 39 + 81 - 42. What is y(o(b))?", "a": "-40*b" }, { "q": "Let x(r) be the first derivative of 7*r**2/2 + 795. Suppose -5*b = 4*c - 2, b + 2*c + 0*c + 2 = 0. Let v(y) = y**b + y**2 - y**2. What is x(v(u))?", "a": "7*u**2" }, { "q": "Let f(t) = -14*t. Let c(l) = -33*l - 26*l + 103*l + 18*l. What is c(f(g))?", "a": "-868*g" }, { "q": "Let i(a) = 8*a**2 - 8*a + 3993. Let t(l) = 3*l**2. Calculate i(t(c)).", "a": "72*c**4 - 24*c**2 + 3993" }, { "q": "Let f(o) be the second derivative of o**3/3 + 2*o. Let y(i) be the third derivative of 19/60*i**5 + 0*i + 0 + 0*i**4 + 0*i**3 + 18*i**2. Calculate f(y(g)).", "a": "38*g**2" }, { "q": "Let y(p) = -4*p**2 + 80 + 80 - 160. Let k(u) be the first derivative of 1/3*u**3 + 0*u - 4 + 0*u**2. Calculate y(k(b)).", "a": "-4*b**4" }, { "q": "Let c(j) be the first derivative of -j**3 - 5. Let l(g) be the second derivative of 31*g**3/3 - 140*g. Calculate c(l(o)).", "a": "-11532*o**2" }, { "q": "Let y(w) = 2*w**2 - 91434*w. Let d(f) = -3*f**2. Calculate y(d(b)).", "a": "18*b**4 + 274302*b**2" }, { "q": "Suppose 364 = 12*t + 412. Let q(u) = -4*u. Let n(c) = -c**2. Let y be n(1). Let r(o) = -o**2 + o. Let z(a) = t*r(a) + y*q(a). Let g(k) = -5*k. Give z(g(m)).", "a": "100*m**2" }, { "q": "Let d(v) be the first derivative of -v**3/3 + 534. Suppose t = -2*t - 6. Let c(m) = 4*m + 2. Let x(q) = q + 1. Let o(n) = t*x(n) + c(n). What is o(d(z))?", "a": "-2*z**2" }, { "q": "Let f(r) = -74*r**2. Let i(s) be the second derivative of 7*s**3/2 + 111*s. Calculate f(i(m)).", "a": "-32634*m**2" }, { "q": "Let k(v) = 45*v. Let m(g) = -11867*g**2 - g. What is k(m(x))?", "a": "-534015*x**2 - 45*x" }, { "q": "Let i(d) = -d + 6. Let c(q) = -7*q + 35. Let l(m) = 6*c(m) - 35*i(m). Let f(n) be the third derivative of n**5/20 - 79*n**2. Calculate l(f(r)).", "a": "-21*r**2" }, { "q": "Let r(p) be the second derivative of 11*p**3/6 - p. Let f(i) = -1991 - 3*i**2 + 1991. Determine f(r(j)).", "a": "-363*j**2" }, { "q": "Let u(w) = -2. Let d = -24 + 33. Let q(k) be the first derivative of k**3/3 + 9*k + 4. Let l(f) = d*u(f) + 2*q(f). Let p(s) = s. Give l(p(x)).", "a": "2*x**2" }, { "q": "Let m(z) = 2287659*z - 6. Let a(f) = -2*f. What is a(m(l))?", "a": "-4575318*l + 12" }, { "q": "Let g(w) = 52342*w. Let p(y) = -10*y + 5. Give g(p(q)).", "a": "-523420*q + 261710" }, { "q": "Let g be (-10)/5*(7 - 5). Let a(o) = -6*o + 5. Let p(n) = 5*n - 4. Let z(d) = g*a(d) - 5*p(d). Let l(t) = -2*t + 9. Give z(l(c)).", "a": "2*c - 9" }, { "q": "Let n(s) = 6*s. Let k(x) = 2*x**2 + 6*x + 12. Let v be k(-2). Let r(t) = -v + 2 + 6 + 8*t. Determine r(n(a)).", "a": "48*a" }, { "q": "Let o(i) = 3*i - 6 + 5*i**2 + 3 - 12*i**2 - 3*i**2. Let a(r) = 19*r**2 - 5*r + 5. Let t(g) = -3*a(g) - 5*o(g). Let p(s) = 2*s. Calculate t(p(l)).", "a": "-28*l**2" }, { "q": "Let g(f) = 2*f**2 + 10*f. Let s(p) = -p**2 - p. Let k(u) = -3*g(u) - 30*s(u). Let d(a) = -1 + 20*a**2 + 1 - 17*a**2. Give k(d(l)).", "a": "216*l**4" }, { "q": "Let l(t) = -1072349*t. Let d(g) = -2*g. Give l(d(j)).", "a": "2144698*j" }, { "q": "Let a(y) = -2*y - 12. Let p(w) = 9*w + 45. Let c(k) = 15*a(k) + 4*p(k). Let o(i) be the first derivative of -1 + 0*i + 1/2*i**2. Determine o(c(s)).", "a": "6*s" }, { "q": "Let l(v) = -v**2 + 16*v + 32. Let q(r) = -881*r**2. Determine l(q(m)).", "a": "-776161*m**4 - 14096*m**2 + 32" }, { "q": "Let b(i) = 8*i. Let d(h) be the third derivative of 0*h**3 + 3*h + 7*h**2 + 0 - 5/12*h**4. Give d(b(r)).", "a": "-80*r" }, { "q": "Let m(y) = -21*y - y**2 + 21*y - y**2. Let f(x) = 7 + 26*x**2 + 2 - 9. What is f(m(q))?", "a": "104*q**4" }, { "q": "Let l(m) = 14*m. Let g(y) be the second derivative of -73*y**4/12 - y - 5. Determine g(l(r)).", "a": "-14308*r**2" }, { "q": "Let t(n) = -2*n + 353 + 362 - 715. Let g = 88 - 52. Let o(r) = -36 + 6*r**2 + g. Calculate o(t(v)).", "a": "24*v**2" }, { "q": "Let v(h) = 10*h**2. Let t(p) = -133*p - 104 - 107 - 154 + 365. What is v(t(q))?", "a": "176890*q**2" }, { "q": "Let f(u) = -u. Let k(b) be the first derivative of -26*b**3 + b - 444. Determine k(f(j)).", "a": "-78*j**2 + 1" }, { "q": "Let d(u) = -2*u**2. Let j = 2611 - 2611. Let s(i) be the first derivative of 4 + 5/2*i**2 + j*i. Give d(s(c)).", "a": "-50*c**2" }, { "q": "Let p(l) be the second derivative of 25*l**3/6 - 3*l**2/2 - l - 138. Let d(x) = -x**2. Give p(d(z)).", "a": "-25*z**2 - 3" }, { "q": "Let w(t) = 41*t**2 + 34*t**2 - 94*t**2. Let h = -299 - -517. Let o(n) = -2*n - h + n + 218. Give o(w(i)).", "a": "19*i**2" }, { "q": "Let p(o) = -20*o**2 - 50*o - 25. Let t(r) = -7*r**2 - 18*r - 9. Let f(w) = 9*p(w) - 25*t(w). Let m(z) = z**2 + 74. What is m(f(x))?", "a": "25*x**4 + 74" }, { "q": "Suppose 0 = -3*b - b + 4*g, -4*b + 10 = g. Let c(f) = -9*f**2 - 6*f**2 - 2*f**b + 37*f**2. Let q(l) = 2*l. Determine c(q(x)).", "a": "80*x**2" }, { "q": "Let b(f) = 2*f + 4. Let v be b(-1). Let t(z) = -50*z**v + z + 61*z**2 - z. Let q(a) = 2*a**2. What is t(q(i))?", "a": "44*i**4" }, { "q": "Let j be (25/(-15) + 1)*117/(-26). Let z(g) be the second derivative of 0*g**2 + 0*g**j - 1/6*g**4 + 7*g + 0. Let a(u) = -43*u. Calculate z(a(m)).", "a": "-3698*m**2" }, { "q": "Let d(a) = a**2 - 3*a - 8. Let g be d(5). Let r(n) = 0 + 2*n - 3 + 2 + g. Let f(l) = 3*l. What is f(r(t))?", "a": "6*t + 3" }, { "q": "Suppose -288 = -23*i + 1414. Let y(b) = 2*b**2 - 154 - 2*b + i + 80. Let l(v) = v. Give y(l(f)).", "a": "2*f**2 - 2*f" }, { "q": "Suppose 3*u - 13 = 2*g, u + 0*g = g + 6. Let h be 0/5*2/4 + u. Let n(z) = -2*z. Let y(w) = 3*w. Let a(m) = h*y(m) + 3*n(m). Let d(c) = 7*c. Determine a(d(l)).", "a": "-21*l" }, { "q": "Let l(v) = 564 - 1147 + 583 - 2*v**2. Let r(x) = -40*x + 1. Give l(r(i)).", "a": "-3200*i**2 + 160*i - 2" }, { "q": "Let u(q) be the first derivative of -2*q**3/3 + 1326. Let s(z) = -2810*z**2. Give u(s(p)).", "a": "-15792200*p**4" }, { "q": "Let m(d) = d. Let g(y) be the second derivative of 31/12*y**4 + 0*y**3 - 72*y + 0 + 0*y**2. Calculate m(g(c)).", "a": "31*c**2" }, { "q": "Let r(w) = 873*w**2 - 7*w + 14. Let f(v) = -1455*v**2 + 12*v - 24. Let s(p) = -7*f(p) - 12*r(p). Let t(d) = 3*d**2. What is s(t(x))?", "a": "-2619*x**4" }, { "q": "Let h(w) = -2*w**2. Let z(c) = 488*c - 5 - 342*c - 281*c. Determine z(h(r)).", "a": "270*r**2 - 5" }, { "q": "Let s(x) = -x**2. Let o(y) be the third derivative of y**5/30 - 3*y**3 + 16*y**2 + 3. Let r(m) be the first derivative of o(m). Determine s(r(n)).", "a": "-16*n**2" }, { "q": "Let n(v) be the second derivative of -41*v**3/3 + v**2/2 - 511*v. Let m(h) = 2*h**2. Determine m(n(o)).", "a": "13448*o**2 - 328*o + 2" }, { "q": "Let l(q) = 2*q**2. Let x(w) = -12786463*w. What is x(l(y))?", "a": "-25572926*y**2" }, { "q": "Let h(t) = -t**3 - 3*t**2 + 6*t - 17. Let r be h(-5). Let w(i) = 3*i - r*i - 8*i - 20*i. Let y(s) = -2*s. Calculate w(y(a)).", "a": "56*a" }, { "q": "Let h(j) = -3*j**2 + 227696*j. Let y(p) = 5*p. Determine y(h(w)).", "a": "-15*w**2 + 1138480*w" }, { "q": "Let b(l) = 1778*l. Let q(i) = 74*i + 4. Let t(f) = 18*f + 1. Let n(k) = q(k) - 4*t(k). Give b(n(d)).", "a": "3556*d" }, { "q": "Let y(a) = 17*a + 10*a - 9*a. Let h(s) be the first derivative of -s**5/120 + 40*s**3 + 86. Let o(i) be the third derivative of h(i). Calculate o(y(j)).", "a": "-18*j" }, { "q": "Let b(g) = -16*g**2 + 75*g + 2. Let r(o) = 56*o**2. Give b(r(v)).", "a": "-50176*v**4 + 4200*v**2 + 2" }, { "q": "Let j(k) = -17*k - 77 - 20*k + 32*k + 75. Let s(p) = -7*p**2. Give s(j(o)).", "a": "-175*o**2 - 140*o - 28" }, { "q": "Let o(g) = 61*g. Let c(d) = -45937*d - 1. What is c(o(t))?", "a": "-2802157*t - 1" }, { "q": "Let o(z) be the third derivative of z**4/12 + 560*z**2. Suppose -f - 4 = 0, -3*w + 9*f = 4*f - 29. Let p(u) = -w*u - 3*u - 2*u. Calculate o(p(h)).", "a": "-16*h" }, { "q": "Let n(b) = -8*b**2. Suppose -2*q + 4*q - 17349 = -3*w, -8677 = -q - 4*w. Let p(m) = -q*m + 3 - 3 + 8677*m. Determine p(n(y)).", "a": "-32*y**2" }, { "q": "Let x(h) = -6*h**2 + 607*h - 109. Let r(b) = b. Determine r(x(w)).", "a": "-6*w**2 + 607*w - 109" }, { "q": "Let c(n) = 530*n**2 + 505*n**2 - 1013*n**2. Let a(h) = 33*h. Give c(a(v)).", "a": "23958*v**2" }, { "q": "Let n(r) = 62*r - 9. Let o(w) = -11*w - 2. Let s(k) = n(k) - 4*o(k). Let u(q) = q**2. Determine s(u(g)).", "a": "106*g**2 - 1" }, { "q": "Let m = 20 + -16. Let z(v) = 7*v**2 - 2*v**2 + m*v**2. Let r(a) = -2*a - 2. Let y(w) = -1. Let l(b) = r(b) - 2*y(b). What is z(l(p))?", "a": "36*p**2" }, { "q": "Let v(q) = -6*q**2 - 6. Let a(x) be the first derivative of 0*x - 1/2*x**2 + 9. Determine v(a(h)).", "a": "-6*h**2 - 6" }, { "q": "Let b(a) = -9*a. Let t(h) be the third derivative of -9*h**5/20 + h**4/24 - 723*h**2. Calculate t(b(w)).", "a": "-2187*w**2 - 9*w" }, { "q": "Let q(z) = 98*z. Let v = -178 - -180. Let m(i) = -i**v + 2*i**2 - 17*i + 17*i. Give m(q(w)).", "a": "9604*w**2" }, { "q": "Let x(u) = 1638837*u**2. Let b(n) = 12*n. What is b(x(l))?", "a": "19666044*l**2" }, { "q": "Let n(w) = 192980*w**2 + 4*w. Let f(c) = 3*c**2. What is n(f(b))?", "a": "1736820*b**4 + 12*b**2" }, { "q": "Let h(m) be the first derivative of -9*m**2/2 - 1025. Let n(o) = 100*o**2. Give h(n(l)).", "a": "-900*l**2" }, { "q": "Let s(x) = -11*x. Let v(a) = -6*a**2 + 3*a - 3. Let i(r) = -17*r**2 + 8*r - 8. Suppose 31*f = 29*f - 6. Let m(k) = f*i(k) + 8*v(k). What is s(m(g))?", "a": "-33*g**2" }, { "q": "Let j(p) = p**2. Let u(h) = 2*h**2 + 35834. Give u(j(v)).", "a": "2*v**4 + 35834" }, { "q": "Let v(i) be the first derivative of -2*i**3/3 + 70. Let u(t) = -2*t - 1. Let b(d) = -d - 3. Let r(p) = 2*b(p) - 4*u(p). Calculate v(r(f)).", "a": "-72*f**2 + 48*f - 8" }, { "q": "Let h(r) = -r**2. Let k = 4 + -3. Suppose 6*y + k = 25. Let v(g) = 3*g + y*g + 2*g - g. Determine v(h(j)).", "a": "-8*j**2" }, { "q": "Let h(t) = 2*t. Let x(v) = -7*v**2 - 1071256*v. Calculate x(h(g)).", "a": "-28*g**2 - 2142512*g" }, { "q": "Let t(z) = 7*z**2. Suppose 2*d + 9 + 41 = 0. Let o = 25 + d. Let c(b) = -5*b + 0*b + 2*b + o*b. What is t(c(l))?", "a": "63*l**2" }, { "q": "Let o(y) = -8*y**2 - y. Let c(b) = -1794*b. Determine c(o(t)).", "a": "14352*t**2 + 1794*t" }, { "q": "Let p(t) = -13*t**2. Let q(x) = 90*x**2 - 136*x + 112. Let l(k) = -8*k**2 + 12*k - 10. Let v(f) = -68*l(f) - 6*q(f). Give v(p(z)).", "a": "676*z**4 + 8" }, { "q": "Let h(s) = 9*s + 160. Let o(n) = 3*n + 60. Let y(d) = 3*h(d) - 8*o(d). Let u(z) = 247*z. Give y(u(w)).", "a": "741*w" }, { "q": "Let d(k) = -9*k + 1570 - 1570 - 24*k. Let y(n) = -39*n. Determine d(y(x)).", "a": "1287*x" }, { "q": "Let f(c) be the first derivative of -c**2/2 - 9101. Let s(o) be the third derivative of -2*o**5 + o**2. Give f(s(a)).", "a": "120*a**2" }, { "q": "Let b(s) be the first derivative of s**2/2 - 418. Let g(w) = -4457*w**2. Determine b(g(k)).", "a": "-4457*k**2" }, { "q": "Let a(z) = -5998*z. Let o(x) = -4*x**2 + 427*x. Determine o(a(l)).", "a": "-143904016*l**2 - 2561146*l" }, { "q": "Let t(g) = 14*g - 12. Let a(j) be the second derivative of 5*j**3 - 13*j**2 + 4*j - 3. Let q(i) = -6*a(i) + 13*t(i). Let h(n) = 24*n. Determine h(q(k)).", "a": "48*k" }, { "q": "Let u(y) = -2878*y**2. Let x(g) = 3643*g. Determine u(x(f)).", "a": "-38195230222*f**2" }, { "q": "Let u(j) = 566*j**2 - 368*j**2 - 267*j**2 - 158*j**2. Let m(l) = -3*l. Give u(m(c)).", "a": "-2043*c**2" }, { "q": "Let k(u) = 3368*u. Let w(r) = 645*r. Calculate k(w(b)).", "a": "2172360*b" }, { "q": "Let m(p) = -175011*p. Let k(n) = 7*n**2. What is k(m(d))?", "a": "214401950847*d**2" }, { "q": "Let g(t) = -22*t - 8. Let z(f) be the second derivative of f**4/4 + 1237*f. Determine g(z(h)).", "a": "-66*h**2 - 8" }, { "q": "Let q(f) be the first derivative of 0*f**3 - 7*f**2 + 0*f - 18 + 1/12*f**4. Let k(i) be the second derivative of q(i). Let d(n) = -10*n. Calculate k(d(l)).", "a": "-20*l" }, { "q": "Let z(n) = n**2. Let y(l) = 54 + 0*l**2 + l**2 - 43 + 0*l**2. Let w(o) = -2*o**2 - 21. Let v(p) = 4*w(p) + 7*y(p). Determine z(v(d)).", "a": "d**4 + 14*d**2 + 49" }, { "q": "Let h(j) = 2265735*j**2. Let q(d) = -d. What is h(q(f))?", "a": "2265735*f**2" }, { "q": "Let j(b) = -104*b + 2. Let t(g) = 3174*g. Give t(j(o)).", "a": "-330096*o + 6348" }, { "q": "Let i(n) = 468*n**2 + 8*n. Let w be i(-5). Let q(l) = w - 11660 - 4*l. Let t(s) = 7*s**2. Calculate q(t(r)).", "a": "-28*r**2" }, { "q": "Let u(k) = 40*k**2 + k. Let v(y) = y**2. Let n(d) = -u(d) - 6*v(d). Let a(s) be the second derivative of s**4/6 + 45*s. Give a(n(h)).", "a": "4232*h**4 + 184*h**3 + 2*h**2" }, { "q": "Let p(w) = -20*w**2 + 1. Let m = -102 - -101. Let n(b) = 2*b - 1. Let s(k) = -3*k**2 - 10*k + 5. Let u(r) = m*s(r) - 5*n(r). Calculate p(u(i)).", "a": "-180*i**4 + 1" }, { "q": "Let y(n) be the third derivative of -573*n**5/10 - 9*n**2 + 92*n. Let s(h) = 2*h. What is y(s(d))?", "a": "-13752*d**2" }, { "q": "Let g(v) = -8*v. Let t(s) = 5*s - 26. Let o be t(6). Suppose 0*r = o*r - 12. Let p(x) = -r*x - 4*x + 3*x + 6*x. Calculate p(g(b)).", "a": "-16*b" }, { "q": "Let p(a) = -a**2. Let h(t) = -t + 123954. What is h(p(b))?", "a": "b**2 + 123954" }, { "q": "Let z(t) = 27*t**2 + 89*t**2 + 12*t**2 + 74*t**2 - 95*t**2. Let s(x) = -9*x**2. Calculate s(z(u)).", "a": "-103041*u**4" }, { "q": "Let r(d) be the second derivative of 2*d**4/3 - 591*d. Let s(b) = 2*b - 50. Determine r(s(g)).", "a": "32*g**2 - 1600*g + 20000" }, { "q": "Let s(f) = -f. Let o(g) be the third derivative of -665*g**4/24 + 294*g**2. What is o(s(w))?", "a": "665*w" }, { "q": "Let q(j) = 2*j. Let n(x) = 5*x + 4. Let o(c) = 6 - 11 + 3*c + 7 + 1. Let f(d) = -2*n(d) + 3*o(d). What is q(f(v))?", "a": "-2*v + 2" }, { "q": "Let v(b) = -88*b**2 - 2. Let p(g) be the second derivative of 5*g**3/6 - 1518*g. Calculate p(v(d)).", "a": "-440*d**2 - 10" }, { "q": "Let a(u) = u**2. Let j(h) be the first derivative of -17*h**5/120 - 11*h**3/3 + 2*h - 41. Let d(p) be the third derivative of j(p). What is a(d(q))?", "a": "289*q**2" }, { "q": "Let f = 32 - 21. Let r(d) = -12*d**2 + 15*d - 26*d + f*d. Let q(t) = -5*t. Give r(q(b)).", "a": "-300*b**2" }, { "q": "Let w(z) = -4*z - 4472. Let v(h) = 279*h**2 + 1. What is w(v(y))?", "a": "-1116*y**2 - 4476" }, { "q": "Suppose 0 = -t + z - 2, -4*z = 3*t - 3*z - 2. Suppose 36*i - 31*i - 10 = t. Let b(r) = 23*r**2 - 9*r**2 - 13*r**i. Let v(y) = -3*y**2. Calculate b(v(k)).", "a": "9*k**4" }, { "q": "Let x(j) be the third derivative of 5*j**4/12 - 5*j**2. Let o(z) = 64 + 67 + z**2 - 131 - 7*z**2. Calculate x(o(r)).", "a": "-60*r**2" }, { "q": "Let v(i) = -283*i**2. Let s(z) = 82377*z. Give s(v(d)).", "a": "-23312691*d**2" }, { "q": "Let s(o) = -4*o**2 - 5*o - 4. Let b(c) = 12*c**2 - 9*c**2 - 5*c**2 - 14*c - 11 - 10*c**2. Let d(j) = 4*b(j) - 11*s(j). Let i(w) = 2*w. Give d(i(z)).", "a": "-16*z**2 - 2*z" }, { "q": "Let h(b) = 3*b**2. Suppose -4*l - 4 = -2*c, -4*c + 8 = -6*l + 3*l. Let k(y) = 0*y**c + 127 - 127 + 4*y**2. Give k(h(f)).", "a": "36*f**4" }, { "q": "Let b(a) be the third derivative of -a**5/30 - 1136*a**2. Let r(q) = -188*q + 3. What is b(r(i))?", "a": "-70688*i**2 + 2256*i - 18" }, { "q": "Let t(u) = 9*u**3 + u**2 + 2*u - 3. Let q be t(1). Let k(f) = 3011 - 3011 + q*f**2. Let y(a) = -13*a**2. Determine k(y(i)).", "a": "1521*i**4" }, { "q": "Let a(j) = 13*j + 10. Let u(w) = -2*w - 2. Let n(k) = -a(k) - 6*u(k). Let o(r) = 22*r. Give n(o(t)).", "a": "-22*t + 2" }, { "q": "Let b(a) = -25*a**2. Let s(p) = -504785*p**2. What is b(s(c))?", "a": "-6370197405625*c**4" }, { "q": "Let c(x) = -x. Let h(w) = 16285751*w. Determine c(h(a)).", "a": "-16285751*a" }, { "q": "Let j be 7 + (-1)/((-6)/(-30)). Let b(x) = j*x + 152 + 0*x - 152. Let s(c) = 1 - 1 - 21*c. Determine s(b(q)).", "a": "-42*q" }, { "q": "Let d(p) = 3583*p - 7149*p + 3573*p. Let n(y) = -4*y**2 - 19*y. Determine d(n(z)).", "a": "-28*z**2 - 133*z" }, { "q": "Let w(t) = 27315*t. Let o(f) = 17*f. Give o(w(y)).", "a": "464355*y" }, { "q": "Let i(k) = -2*k. Let o(j) = -6. Let q(r) = -2*r - 58. Let u(n) = 12*o(n) - q(n). Determine u(i(h)).", "a": "-4*h - 14" }, { "q": "Let m(b) = 6*b**2. Let z(a) = 161 + 22*a - 164 + 32*a. Determine m(z(l)).", "a": "17496*l**2 - 1944*l + 54" }, { "q": "Let o(i) = 354*i. Let h(x) = -3082*x**2 + x - 1. Give o(h(b)).", "a": "-1091028*b**2 + 354*b - 354" }, { "q": "Let u(j) = -353*j + 483. Let c(l) = 3*l. Calculate c(u(n)).", "a": "-1059*n + 1449" }, { "q": "Let r(k) be the second derivative of 0 + 0*k**2 + 0*k**3 - 31*k + 10/3*k**4. Let j(v) = v**2. Give r(j(p)).", "a": "40*p**4" }, { "q": "Suppose 1510 = 4*c - 0*c + 2*m, -c - 5*m + 355 = 0. Let f(s) = -c*s + 752*s - 375*s. Let o(p) = 4*p. Give o(f(t)).", "a": "-12*t" }, { "q": "Let r(k) = -k + 202996. Let q(p) = -10*p. Calculate q(r(w)).", "a": "10*w - 2029960" }, { "q": "Let z(k) = -262*k**2 + 1. Let l(r) = -7*r - 10*r - 9*r + 29*r - 2*r. Give l(z(p)).", "a": "-262*p**2 + 1" }, { "q": "Let u(r) = -2670*r + 89. Let g(h) = 178*h - 6. Let s(i) = 89*g(i) + 6*u(i). Let f(k) = -80*k + 29*k + 24*k + 25*k. Determine s(f(a)).", "a": "356*a" }, { "q": "Let h(u) = -u. Suppose 4*c + 54 = 4*q - 214, -q - 2*c = -58. Let z(k) = -19*k + 33*k - q*k. Determine h(z(d)).", "a": "50*d" }, { "q": "Let z(j) = -j**2 + 5*j + 8. Suppose -15*i + 12*i = -18. Let o be z(i). Let g(t) = -2*t**2 - 2*t**o + 2*t**2 + 4*t**2. Let q(u) = -2*u. What is g(q(c))?", "a": "8*c**2" }, { "q": "Let y(t) = 11*t**2. Let v(w) = -w**2 + 11*w - 34. Let c be v(6). Let z(g) = g**2 + 7. Let k(q) = -4. Let a(l) = c*z(l) - 7*k(l). Give a(y(m)).", "a": "-484*m**4" }, { "q": "Let z(m) be the third derivative of 49*m**4/24 + 11*m**3/6 + m**2 + 472. Let x(s) = s. What is x(z(y))?", "a": "49*y + 11" }, { "q": "Let l(q) = 9930805*q. Let y(b) = -2*b. Determine l(y(v)).", "a": "-19861610*v" }, { "q": "Let w(g) = -113*g**2. Suppose 2*u + 9*u = 22. Let k(y) = 108*y**2 - 5*y + 5*y - 110*y**u. Calculate k(w(t)).", "a": "-25538*t**4" }, { "q": "Let t(l) = -851648*l - 5. Let j(h) = h. Give j(t(d)).", "a": "-851648*d - 5" }, { "q": "Let n(c) = 2*c - 35. Suppose -6 = -10*x + 44. Let w(j) = -12*j**2 + 5*j - 5. Let s(h) = -14*h**2 + 6*h - 6. Let t(q) = x*s(q) - 6*w(q). Give t(n(l)).", "a": "8*l**2 - 280*l + 2450" }, { "q": "Let w = 157 - 148. Let q(h) = -10*h + w*h + 0*h. Let g(m) = 30*m + 2. Give q(g(v)).", "a": "-30*v - 2" }, { "q": "Let t(h) = -2*h + 1. Let y(c) = 38*c**2 + 14. Let v(u) = 33*u**2 + 12. Let l(q) = 7*v(q) - 6*y(q). Calculate t(l(f)).", "a": "-6*f**2 + 1" }, { "q": "Let j(i) = 3*i**2 + 7*i - 11. Let v(t) = -835*t. Calculate v(j(s)).", "a": "-2505*s**2 - 5845*s + 9185" }, { "q": "Let l(j) be the first derivative of 2*j**3/3 - 71. Let y(h) be the third derivative of 7*h**5/20 + 6*h**2. What is l(y(z))?", "a": "882*z**4" }, { "q": "Let v(s) = -217*s. Let t(y) = -21189*y**2. Give v(t(r)).", "a": "4598013*r**2" }, { "q": "Let w(v) = 812888*v. Let i(x) = -x**2. Determine i(w(p)).", "a": "-660786900544*p**2" }, { "q": "Let d(n) = -4308*n. Let t(h) = 673*h - 1. Give t(d(z)).", "a": "-2899284*z - 1" }, { "q": "Let h(q) = 45*q. Let v(w) = 45*w - 3. Let n(g) = -59*g + 4. Let a(k) = 6*n(k) + 8*v(k). Determine a(h(u)).", "a": "270*u" }, { "q": "Let q(p) = -172*p**2. Let z(o) be the first derivative of -2*o**2 - 180. Determine q(z(s)).", "a": "-2752*s**2" }, { "q": "Suppose 2*z = -o + 2 - 0, 5*z - 8 = -o. Let r(t) = 39*t**2 + 41*t**z - 78*t**2. Let g(p) = 2*p**2 + 51. Determine g(r(d)).", "a": "8*d**4 + 51" }, { "q": "Let m(x) = -47*x + 2. Let j = 15 + -13. Let i(f) = -1702*f - 2*f**j + 1702*f. Calculate i(m(v)).", "a": "-4418*v**2 + 376*v - 8" }, { "q": "Let g(s) = 8*s. Let z(b) be the first derivative of 21*b**2/2 + 91. Calculate g(z(m)).", "a": "168*m" }, { "q": "Let d(q) = -130*q**2. Let v(r) = -71937*r. Give d(v(a)).", "a": "-672741155970*a**2" }, { "q": "Let d(h) be the second derivative of -h**3/3 + 23*h. Let t(j) = 751 + 2*j - 751. Give d(t(b)).", "a": "-4*b" }, { "q": "Let c(n) = 3*n**2. Let b(k) = -12702 + 12702 - 157*k. Calculate b(c(f)).", "a": "-471*f**2" }, { "q": "Let i be 1/(-8) - 425/(-200). Let x(c) = 235*c + 235*c - 470*c - 65*c**i. Let s(g) = 3*g. Calculate x(s(j)).", "a": "-585*j**2" }, { "q": "Let c(x) = -x - 283. Let y(n) = -3046*n. Calculate y(c(b)).", "a": "3046*b + 862018" }, { "q": "Let w(q) be the second derivative of q**3/3 + q**2/2 + 2*q + 45. Let l(j) = 375*j + 195. Let x(n) = 6*l(n) - 1170*w(n). Let a(g) = g**2. Determine x(a(s)).", "a": "-90*s**2" }, { "q": "Let i(d) = 16*d + 9. Let s(g) = 4397*g**2. Determine i(s(z)).", "a": "70352*z**2 + 9" }, { "q": "Let f(r) = -1513*r - 18. Let h(x) = 2733985*x + 32529. Let z(a) = 10843*f(a) + 6*h(a). Let i(o) = -2*o. Calculate z(i(k)).", "a": "3098*k" }, { "q": "Let n(s) = 2*s. Let l(g) = 182*g - 12856. What is n(l(k))?", "a": "364*k - 25712" }, { "q": "Let o(l) = 2212*l**2 - 3*l + 9. Let s be o(-3). Let i(p) = 19926 - p**2 - s. Let w(y) = -1. Let a(r) = -r - 2. Let n(k) = a(k) - 2*w(k). Give n(i(d)).", "a": "d**2" }, { "q": "Let n(z) = -13 + 13 + 6*z. Let c(g) be the first derivative of -27*g**2/2 - 1639. Calculate c(n(m)).", "a": "-162*m" }, { "q": "Let k(h) = -3*h. Let i(p) = 2. Let t(j) = 3*j + 20. Let v(b) = -6*i(b) + t(b). Let o(z) = 4*z + 10. Let r(x) = -4*o(x) + 5*v(x). Calculate k(r(f)).", "a": "3*f" }, { "q": "Let c be (-2 - (-5 - -6))*-2. Let y(a) = 4*a + c*a - 8*a. Let h(x) = 4*x + 4*x - 6*x. Determine h(y(b)).", "a": "4*b" }, { "q": "Let x(w) = -17*w**2. Let t(p) be the third derivative of 0 - p**2 + 0*p**4 + 0*p**3 + 7*p - 1/15*p**5. What is x(t(c))?", "a": "-272*c**4" }, { "q": "Let d(x) = -3*x**2. Let o(q) = 5*q - 5. Let f be ((-35)/10 - -3)/((-1)/12). Let j(s) = -f*s + s**2 + 0*s - 33 + 39. Let t(w) = 5*j(w) + 6*o(w). What is t(d(h))?", "a": "45*h**4" }, { "q": "Let n = -65 + 67. Let v(m) = -2 - 2*m**n - 6 + 8. Let z(p) = -2*p. Determine v(z(k)).", "a": "-8*k**2" }, { "q": "Let a(o) = -o. Let b = 60 + -32. Let q = 984 - 989. Let i(f) = 77*f**2. Let r(n) = 14*n**2. Let l(k) = b*r(k) + q*i(k). Determine l(a(h)).", "a": "7*h**2" }, { "q": "Let m(n) = 2*n - 318. Let x(y) = 2*y**2 - 163*y + 1. Give x(m(z)).", "a": "8*z**2 - 2870*z + 254083" }, { "q": "Let t(p) = 45*p**2 + 157*p. Let r(g) = 655*g. Give r(t(k)).", "a": "29475*k**2 + 102835*k" }, { "q": "Let o(l) = 11*l. Let m(q) = -13*q. Let a(j) be the third derivative of 8*j**4/3 - 61*j**2. Let t(y) = 5*a(y) + 24*m(y). Determine o(t(r)).", "a": "88*r" }, { "q": "Let w(d) = 2*d**2. Let z(q) be the first derivative of -101*q**3/3 + 1442. Determine w(z(g)).", "a": "20402*g**4" }, { "q": "Let r(k) = -2*k**2 + 6*k**2 + 0*k**2. Let b(p) be the first derivative of 37*p**2/2 - 919. Determine b(r(f)).", "a": "148*f**2" }, { "q": "Let s(w) = -13*w. Let u(p) = p + 236847. What is s(u(h))?", "a": "-13*h - 3079011" }, { "q": "Let f(x) = 81*x**2 - 26*x**2 - 38*x**2 - 19*x**2. Let i(z) = -47*z + 0*z**2 + 9*z + 2*z**2. Determine i(f(t)).", "a": "8*t**4 + 76*t**2" }, { "q": "Let s(x) be the second derivative of -x**4/3 + 333*x - 2. Let u(j) = 25*j - 2. Determine s(u(y)).", "a": "-2500*y**2 + 400*y - 16" }, { "q": "Let c(a) be the first derivative of 11*a + 0*a**2 - 1/3*a**4 + 0*a**3 + 12. Let f(d) be the first derivative of c(d). Let s(t) = -2*t. What is s(f(r))?", "a": "8*r**2" }, { "q": "Let j(o) = o**2 - 9. Let h(k) = k**2 + 1. Let y(d) = -36*h(d) - 4*j(d). Let a(w) = 6*w**2 + w**2 - 8*w**2 + 0*w**2. What is y(a(r))?", "a": "-40*r**4" }, { "q": "Let r(u) = 18348*u. Let p(x) = -445*x**2. Give r(p(l)).", "a": "-8164860*l**2" }, { "q": "Let g(q) = -11*q. Let o(z) = 191*z - z**2 + 46 - 174*z - 23 - 23. Calculate g(o(r)).", "a": "11*r**2 - 187*r" }, { "q": "Let h(n) = -n. Let y(j) = -691044*j. What is h(y(l))?", "a": "691044*l" }, { "q": "Let a(t) be the second derivative of -10*t**3/3 + 517*t. Let q(k) = 11*k**2 + 5*k. Give q(a(n)).", "a": "4400*n**2 - 100*n" }, { "q": "Let d(g) = -g - 14. Let i(o) = 4719*o**2. Give i(d(j)).", "a": "4719*j**2 + 132132*j + 924924" }, { "q": "Let v(k) = -4*k**2 + 4*k + 0*k + 2*k. Let q(x) be the third derivative of x**4/12 - x**2 - 5. Calculate v(q(l)).", "a": "-16*l**2 + 12*l" }, { "q": "Let l(z) be the second derivative of 6*z**3 + 2*z + 356. Let a(m) = 3*m. What is l(a(j))?", "a": "108*j" }, { "q": "Let k(o) be the first derivative of 2*o**3 - 1236. Let s(q) = 398*q**2. Give s(k(a)).", "a": "14328*a**4" }, { "q": "Let k(v) = 5*v**2 + 17. Let m(z) be the third derivative of -z**5/60 - z**3/2 + 71*z**2. Let b(g) = 6*k(g) + 34*m(g). Let w(p) = -11*p**2. What is w(b(f))?", "a": "-176*f**4" }, { "q": "Let j be ((-2 - -4) + -4)*-1. Let u(g) = -g**j + g**2 - 2*g**2 - 37*g. Let a(b) = -3*b. Determine a(u(v)).", "a": "6*v**2 + 111*v" }, { "q": "Let v(t) = -17607*t + 0 + 17605*t - 6 + 6. Let d(b) = 49*b - 2. Let w(l) = 1128*l - 47. Let z(a) = -47*d(a) + 2*w(a). Give z(v(j)).", "a": "94*j" }, { "q": "Let h = 5502 + 3366. Let v(d) = -12*d + h - 8868. Let k(w) = -6*w. What is k(v(u))?", "a": "72*u" }, { "q": "Let o(m) be the second derivative of -m**7/1260 - 35*m**4/12 - m**2/2 + 9*m - 1. Let r(u) be the third derivative of o(u). Let s(p) = -15*p**2. What is r(s(g))?", "a": "-450*g**4" }, { "q": "Let b(l) = l**2 - 332*l. Let q(j) = 244*j + 4. Determine b(q(c)).", "a": "59536*c**2 - 79056*c - 1312" }, { "q": "Let y(p) be the first derivative of p**6/120 - 6*p**3 + 20. Let z(n) be the third derivative of y(n). Let i(s) = 11*s**2 - 9 + 9. Give z(i(c)).", "a": "363*c**4" }, { "q": "Let x(p) = -960*p**2. Let n(y) = -8*y**2 - 10*y - 45. Let h(u) = 7*u**2 + 8*u + 36. Let w(f) = 5*h(f) + 4*n(f). Calculate x(w(k)).", "a": "-8640*k**4" }, { "q": "Let s(n) = -1 + 2 + 2*n - 1. Let r(h) = -14*h + h + 10*h - 50*h. Give r(s(q)).", "a": "-106*q" }, { "q": "Let u(z) = 7644514*z**2. Let j(o) = o**2. Calculate j(u(n)).", "a": "58438594296196*n**4" }, { "q": "Let l(x) be the third derivative of 13*x**5/30 - 725*x**2 - 1. Let b(r) = -2*r**2 + r - r. Give b(l(d)).", "a": "-1352*d**4" }, { "q": "Let l(k) be the third derivative of -k**4/12 + k**2. Let v = -69 + 168. Let d(p) = 48 + 51 - v - 10*p. Determine l(d(r)).", "a": "20*r" }, { "q": "Let q(g) = 2*g - 10. Let h(v) = -v**2 + 3. Let m = -140 + 141. Let i(z) = -1. Let n(j) = m*h(j) + 3*i(j). What is n(q(a))?", "a": "-4*a**2 + 40*a - 100" }, { "q": "Let t(z) = -2*z. Let o(i) = 1466*i + 1. Calculate o(t(g)).", "a": "-2932*g + 1" }, { "q": "Let a(r) = -2*r**2. Let c(d) = -39497798*d**2. Give a(c(o)).", "a": "-3120152093697608*o**4" }, { "q": "Let t(s) = 4*s**2 + 128. Let w(a) = 7*a + 689. Determine t(w(x)).", "a": "196*x**2 + 38584*x + 1899012" }, { "q": "Let t(p) = 5*p - 13. Let g(d) = -d + 3. Let y = 40 + -66. Let a(q) = y*g(q) - 6*t(q). Let l(r) = 2 - 6*r + r - 2. Give l(a(j)).", "a": "20*j" }, { "q": "Let p be (1 - 0)/(88/24 + 9 + -12). Let z(k) be the first derivative of 0*k + 3 - p*k**2. Let o(i) = i**2. What is o(z(a))?", "a": "9*a**2" }, { "q": "Let a(n) = 0 - 113*n + 8 + 113*n - 7*n**2 - 1. Let m(j) = -12*j. Determine m(a(x)).", "a": "84*x**2 - 84" }, { "q": "Let g(y) = y + 22. Let z(f) = -1602*f**2 - 2*f + 2*f + 1597*f**2. Give z(g(v)).", "a": "-5*v**2 - 220*v - 2420" }, { "q": "Let f(c) = 3*c + 1. Suppose 11*u - 10*u - p + 6 = 0, -5*p - 2 = 3*u. Let j(y) = 3*y. Let v(q) = u*j(q) + 3*f(q). Let k(b) = b. Calculate k(v(m)).", "a": "-3*m + 3" }, { "q": "Let b(c) = -2*c. Let l = 4 - -4. Suppose -l*y + 367 = 31. Let p(m) = -42 - 18*m + y + 6*m. Calculate b(p(g)).", "a": "24*g" }, { "q": "Let u(b) be the first derivative of -17*b**2/2 + 2*b + 21. Let k(m) = m - 1. Let y(n) = 2*k(n) + u(n). Let q(h) = -5*h. Determine q(y(i)).", "a": "75*i" }, { "q": "Let q(a) = -a. Let k(m) be the first derivative of -8*m**2 + 0*m**4 + 0*m**3 + 18 - 3/10*m**5 + 0*m. Let b(i) be the second derivative of k(i). What is q(b(n))?", "a": "18*n**2" }, { "q": "Let d(h) = 5*h**2. Let f = -25 - -32. Let b(u) = 5*u. Let i(x) = -9*x. Let v(r) = f*b(r) + 4*i(r). Let p(j) = -j. Let w(t) = p(t) - 3*v(t). Determine w(d(y)).", "a": "10*y**2" }, { "q": "Let v(i) = 188 - 187 - 237*i - 101*i. Let b(o) = -3*o. What is v(b(w))?", "a": "1014*w + 1" }, { "q": "Let g(s) be the third derivative of -s**4/12 - s**3 - 861*s**2. Let n(c) = 4*c. Calculate g(n(u)).", "a": "-8*u - 6" }, { "q": "Let n(o) = 28*o. Let l(f) be the second derivative of f**4/3 - 5*f**3/6 - 982*f - 2. Give l(n(t)).", "a": "3136*t**2 - 140*t" }, { "q": "Let d(u) be the second derivative of -5*u**3/3 - u. Let p(b) be the first derivative of -4*b**3/3 + 23109. Calculate p(d(g)).", "a": "-400*g**2" }, { "q": "Let z(r) = 54*r**2. Let q(k) = -48122*k. Give z(q(c)).", "a": "125049251736*c**2" }, { "q": "Let h(m) = 17*m. Let p(g) = -g**2 - 36. Let t(y) = -2*y**2 - 82. Let r(w) = 9*p(w) - 4*t(w). Determine h(r(c)).", "a": "-17*c**2 + 68" }, { "q": "Let i(o) = 6*o**2. Let l(h) = -405104*h**2. Calculate i(l(p)).", "a": "984655504896*p**4" }, { "q": "Let m(f) = -81*f - 33. Let n(o) = 5*o + 2. Let g(i) = -4*m(i) - 66*n(i). Let c(u) = 3*u**2 + 10*u**2 + 7*u**2 - 14*u**2. Calculate c(g(r)).", "a": "216*r**2" }, { "q": "Let k(r) = -159*r**2 + 91*r. Let s(m) = -35*m. What is k(s(t))?", "a": "-194775*t**2 - 3185*t" }, { "q": "Let f(s) = 28*s. Let z(j) = 16129*j**2 + 8. What is z(f(n))?", "a": "12645136*n**2 + 8" }, { "q": "Suppose 5*l - 13 = k, -3*l - 6 = -15. Let t(s) = 9*s**2 + 10*s**k - s**2. Let q(c) = 3*c. Determine t(q(w)).", "a": "162*w**2" }, { "q": "Let a(r) = 4444186*r. Let m(i) = 3*i. What is a(m(f))?", "a": "13332558*f" }, { "q": "Let z(i) = 7*i**2. Let b(d) = -259692*d. Calculate z(b(m)).", "a": "472079544048*m**2" }, { "q": "Let w(x) = 99*x**2. Let m(q) = -85264*q**2. Calculate m(w(f)).", "a": "-835672464*f**4" }, { "q": "Let u(g) = -g. Suppose -2*p = -3*p + 4. Suppose 4*k = 2*o, -o - 16 = -2*k - p*o. Let i(b) = 1 - 17*b**k - 9*b**2 - 1. What is i(u(t))?", "a": "-26*t**2" }, { "q": "Let i(a) = -2*a**2. Let j be 1/(2 + 21/(-12)). Suppose 4*t + 6180 = j*s, -2*t - 223 = -5*s + 7514. Let n(w) = 1549 - s + 11*w. What is i(n(f))?", "a": "-242*f**2" }, { "q": "Let z(j) = 23*j**2. Let h(a) = 10*a - 63. Let q(p) = -76*p + 441. Let g(u) = 15*h(u) + 2*q(u). Give g(z(b)).", "a": "-46*b**2 - 63" }, { "q": "Let p(x) be the second derivative of x**4/24 - 10*x**2 + 26*x. Let j(z) be the first derivative of p(z). Let n(t) = 20*t**2. Determine j(n(h)).", "a": "20*h**2" }, { "q": "Let i(n) = -22950774*n. Let z(v) = 2*v. Give i(z(a)).", "a": "-45901548*a" }, { "q": "Let a(t) = -25*t + 1 - 1. Let w(o) = -o. Let n be (4/10)/(22/55). Let i(h) = 2*h**2 - 4*h. Let m(f) = n*i(f) - 4*w(f). What is a(m(v))?", "a": "-50*v**2" }, { "q": "Let j(r) be the second derivative of -r**3/6 + 894*r. Let i(l) = 3*l**2. What is j(i(d))?", "a": "-3*d**2" }, { "q": "Let v(t) = -32*t**2 - 13*t - 30. Let j(q) = 14 + 16*q**2 + 564*q - 1126*q + 568*q. Let h(x) = -13*j(x) - 6*v(x). Let l(m) = 2*m**2. Calculate l(h(b)).", "a": "512*b**4 + 128*b**2 + 8" }, { "q": "Let x(n) = -n. Let i(t) be the first derivative of 19*t**4/24 - t**2/2 + 14*t - 41. Let y(r) be the second derivative of i(r). Give y(x(u)).", "a": "-19*u" }, { "q": "Let a(l) = -2997*l. Let m(u) = 6320*u**2. Calculate m(a(g)).", "a": "56766296880*g**2" }, { "q": "Let l = -2 - -4. Let n(s) = 0*s**2 + 5*s**2 + s**l - 4*s**2. Let h(t) be the first derivative of -t**3/3 + 60. What is h(n(g))?", "a": "-4*g**4" }, { "q": "Let g(u) = -93235*u. Let o(h) = -2*h**2 - 46. Give o(g(z)).", "a": "-17385530450*z**2 - 46" }, { "q": "Let p(r) = 2*r - 48. Let s(u) = 2*u**2 - 2373. Calculate p(s(c)).", "a": "4*c**2 - 4794" }, { "q": "Let h(p) = -3*p**2. Let q(b) = 38*b + 38. Let v be q(10). Let f(t) = v*t**2 + 0*t - 417*t**2 - 2*t. Determine h(f(l)).", "a": "-3*l**4 + 12*l**3 - 12*l**2" }, { "q": "Let m(d) = -101*d + 17. Let t(k) = 35*k - 6. Let v(w) = 6*m(w) + 17*t(w). Let a(l) = -50*l**2. What is a(v(g))?", "a": "-6050*g**2" }, { "q": "Let k(a) = -12*a + 297. Let g(q) = -357*q**2 - 2*q. What is k(g(f))?", "a": "4284*f**2 + 24*f + 297" }, { "q": "Let s(q) = 7*q**2. Let w = -48 + 63. Suppose -2*t - 3*t - d = -w, 0 = -2*t + 3*d - 11. Let g(v) = -v - 2*v**t + 0*v**2 + v. What is g(s(m))?", "a": "-98*m**4" }, { "q": "Let a(t) = -29*t + 4. Let x(p) = -11*p + 2. Let n(c) = -a(c) + 2*x(c). Let b(u) = 5*u**2 - 2. Determine b(n(d)).", "a": "245*d**2 - 2" }, { "q": "Let n(t) = 19*t + 2*t - 22*t. Let j(k) = 2051*k**2. What is n(j(o))?", "a": "-2051*o**2" }, { "q": "Let x = -4 + 8. Let z(l) = -5*l**2 + 4*l - 4. Let o(m) = -117*m**2 - 7 + 6*m + 108*m**2 + m. Let p(j) = x*o(j) - 7*z(j). Let a(s) = 14*s**2. What is p(a(c))?", "a": "-196*c**4" }, { "q": "Let v(r) = -4*r. Let s(w) = -47*w + 919. What is s(v(l))?", "a": "188*l + 919" }, { "q": "Let q(x) = -26*x. Let j(t) = 21*t**2 + 8*t**2 - 6*t**2 - 2*t + 9*t**2. Determine j(q(p)).", "a": "21632*p**2 + 52*p" }, { "q": "Let d(w) = 1629473*w. Let g(s) = -s. Calculate d(g(b)).", "a": "-1629473*b" }, { "q": "Let p(a) = -23*a**2 - 10*a + 5. Let s(d) = 18*d**2 + 8*d - 4. Let g(w) = -4*p(w) - 5*s(w). Let l(i) = -4*i**2. Calculate g(l(y)).", "a": "32*y**4" }, { "q": "Let n(l) = 2*l**2. Let y(c) be the second derivative of -1865*c**3/6 + 405*c. Calculate y(n(o)).", "a": "-3730*o**2" }, { "q": "Let o(g) = -7*g**2. Let q(x) = -2*x + 1421111. Give q(o(a)).", "a": "14*a**2 + 1421111" }, { "q": "Let v(k) = 103*k - 24. Let o(d) = 3604*d - 848. Let g(s) = -3*o(s) + 106*v(s). Let y(r) = 7*r. Give y(g(m)).", "a": "742*m" }, { "q": "Let h(f) = 3*f**2. Let c(a) be the first derivative of -47*a**3/3 - 1070. What is h(c(q))?", "a": "6627*q**4" }, { "q": "Let y(m) = -2*m**2. Let v be 1 + 8/(2 + 2). Suppose -3*p - 3*z - 97 = -5*p, -4*z - 148 = -v*p. Let u(f) = -62*f**2 + 36*f**2 + p*f**2. Calculate y(u(l)).", "a": "-1800*l**4" }, { "q": "Let h be ((-436)/(-4) - 2)/(0 - -1). Let j(n) = 1 - 4 + 4 - h*n + 78*n. Let p(k) = 2*k. Give j(p(b)).", "a": "-58*b + 1" }, { "q": "Let o(k) be the second derivative of -179*k**3/6 - 3*k**2/2 + 367*k. Let m(z) = 2*z. Calculate o(m(b)).", "a": "-358*b - 3" }, { "q": "Let i(l) = 8*l + 288. Let p(v) = -422*v**2. Give i(p(g)).", "a": "-3376*g**2 + 288" }, { "q": "Let r(f) = -2 + 2*f + 2. Suppose 14 = 7*s - 0. Let d(y) = -4*y**s + 54 - 27 - 27. Calculate d(r(k)).", "a": "-16*k**2" }, { "q": "Let c(f) be the first derivative of -5*f**3/3 - 24*f + 111. Let o(z) = 27 - 27 - 2*z. Determine c(o(v)).", "a": "-20*v**2 - 24" }, { "q": "Let j(u) = 84597*u. Let d(r) = -11*r**2 - r. Give j(d(a)).", "a": "-930567*a**2 - 84597*a" }, { "q": "Let y(p) = -p. Let f(x) = -3344860*x. Determine y(f(h)).", "a": "3344860*h" }, { "q": "Let n(b) = 4*b**2 - 10. Let w(p) = 1. Let m(r) = 6*n(r) + 60*w(r). Let x(o) = 57*o. Let c(l) = 153*l. Let f(k) = -3*c(k) + 8*x(k). Give m(f(z)).", "a": "216*z**2" }, { "q": "Let h(t) = -t + 5. Let l(d) = d**2 - d - 5. Let w(f) = h(f) + l(f). Let g(p) = 50*p**2. What is g(w(u))?", "a": "50*u**4 - 200*u**3 + 200*u**2" }, { "q": "Let z(u) be the first derivative of 719*u**2/2 + 2*u - 1543. Let n(q) = -q. Determine n(z(j)).", "a": "-719*j - 2" }, { "q": "Let o(t) = 16 - 10 + t - 2 - 4. Let b(r) = -2*r + 192. What is o(b(a))?", "a": "-2*a + 192" }, { "q": "Let g(j) = -15*j - 8. Let o(h) = -5*h - 3. Let i = 4 - 7. Let y(f) = i*g(f) + 8*o(f). Let r(a) = 20*a**2 - 20*a**2 + 14*a**2 - 11*a**2. Give y(r(u)).", "a": "15*u**2" }, { "q": "Let f(w) = 119*w - 7*w - 111*w + 9*w**2. Let p(x) = -x**2 - x. Let k(q) = -2*q**2 - 3*q. Let o(m) = -k(m) + 3*p(m). Calculate o(f(a)).", "a": "-81*a**4 - 18*a**3 - a**2" }, { "q": "Let l(j) = -2*j**2. Let q be (-990)/385 - 4/14*-2. Let m(o) = o + 1. Let a(i) = 4*i**2 - 6*i - 6. Let g(k) = q*a(k) - 12*m(k). What is g(l(z))?", "a": "-32*z**4" }, { "q": "Let c(t) be the third derivative of t**5/60 - 14*t**2. Let m(x) = -120*x**2 - 13 + 5 + 8. Give c(m(p)).", "a": "14400*p**4" }, { "q": "Let s(o) = -3097*o. Let v(z) = 1594*z. Determine s(v(b)).", "a": "-4936618*b" }, { "q": "Let x(n) = -46*n + 165*n - 49*n - 69*n. Let b(o) = -929*o. Give b(x(t)).", "a": "-929*t" }, { "q": "Let j(w) = -2*w. Let o(l) = -37*l + 54. Let m(b) = -369*b + 567. Let h(f) = -4*m(f) + 42*o(f). What is h(j(s))?", "a": "156*s" }, { "q": "Suppose 8*o + 6*o = 154. Let h(w) = o*w - 17*w + 8*w + w. Let c(u) = -3*u**2. What is c(h(i))?", "a": "-27*i**2" }, { "q": "Let v(o) = -17*o + 58 - 12*o - 31 + 0*o - 27. Let l(f) = 2*f. Let i(r) = -r. Let z(n) = -3*i(n) - l(n). Give z(v(m)).", "a": "-29*m" }, { "q": "Let a(w) = -5*w - 2*w + 4*w - 2*w - 3*w. Let z(r) = 12*r + 3. Give z(a(v)).", "a": "-96*v + 3" }, { "q": "Let f(q) = q**2 + 55*q - 1. Let m(w) = -370*w**2 + 3. Calculate f(m(d)).", "a": "136900*d**4 - 22570*d**2 + 173" }, { "q": "Let i(l) be the second derivative of 7*l**4/6 + 30*l - 14. Let z(c) = 0*c**2 - 2*c**2 + c**2. What is i(z(x))?", "a": "14*x**4" }, { "q": "Let x(u) = -4*u**2 + 44066*u - 22035*u - 22031*u. Let n(d) = 2*d**2 + 67. Calculate n(x(s)).", "a": "32*s**4 + 67" }, { "q": "Let s(z) = z. Let y(v) = 2*v**2 - 4383*v - 19. What is s(y(n))?", "a": "2*n**2 - 4383*n - 19" }, { "q": "Let z(c) = -2*c. Let b(t) = 5*t + 11. Let y(f) = -f - 4. Let s(r) = r**2 - 11*r + 17. Let o be s(7). Let m(l) = o*y(l) - 4*b(l). Give z(m(g)).", "a": "18*g" }, { "q": "Let k(m) be the first derivative of -m**2/2 - 2. Let g(v) = -8*v - 4*v + 0*v + 0*v + 6*v. Determine g(k(q)).", "a": "6*q" }, { "q": "Let s(t) = -3 - 1110*t**2 + 0 + 1111*t**2. Let m(p) = 1. Let g(y) = 12*m(y) + 4*s(y). Let u(j) = -2*j - 4*j + 5*j. Calculate g(u(l)).", "a": "4*l**2" }, { "q": "Let w(q) = 6*q - 2. Let z(h) = -h + 1. Let g(r) = 2*w(r) + 4*z(r). Let u(f) be the first derivative of -f**3 + 1203. Determine u(g(n)).", "a": "-192*n**2" }, { "q": "Let l(s) = -82*s. Let z(r) be the first derivative of r**2/2 - 1083. Determine l(z(c)).", "a": "-82*c" }, { "q": "Let n(g) = 3*g**2 - 4*g + 101. Let w(o) = -6*o**2 + 9*o - 224. Let q(z) = -9*n(z) - 4*w(z). Let r(v) = 3*v**2. What is r(q(a))?", "a": "27*a**4 + 234*a**2 + 507" }, { "q": "Let l(j) = 2 + 14 - 16 + 7*j**2. Let u(g) = -150*g**2 - 151*g**2 - 150*g**2 + 441*g**2. Determine u(l(p)).", "a": "-490*p**4" }, { "q": "Let l(m) = 588*m. Let r(h) = 1434*h. Calculate l(r(b)).", "a": "843192*b" }, { "q": "Let l(x) = -16*x + 18. Let b(j) = -j + 1. Let z(o) = -36*b(o) + 2*l(o). Let p(g) = 12*g**2 - 169434322*g + 169434322*g. Calculate z(p(y)).", "a": "48*y**2" }, { "q": "Let h(s) = 61*s**2. Let w(i) be the second derivative of i**5/120 - 23*i**3/3 + 10*i. Let k(y) be the second derivative of w(y). What is h(k(a))?", "a": "61*a**2" }, { "q": "Let b(n) = -2*n. Let c(x) = -6145*x + 39. Calculate c(b(h)).", "a": "12290*h + 39" }, { "q": "Let w(z) = z. Suppose 3*x + 2*s = 11, -3*x - s = -0*x - 7. Let q be 3/(-6)*-6 + x + 2. Let p(d) = -q*d**2 + 7*d**2 - 4*d**2 - 6*d**2. Give p(w(a)).", "a": "-9*a**2" }, { "q": "Let a(u) = -u. Let s(k) = -12*k. Let w(i) = 6*a(i) + s(i). Let m(l) be the first derivative of -4*l**3/3 + 31664. Calculate m(w(v)).", "a": "-1296*v**2" }, { "q": "Let w(b) = 31*b - 740. Let g be w(24). Let q(a) be the second derivative of 0 - 10*a + 0*a**2 - 1/12*a**g + 0*a**3. Let h(r) = -3*r**2. Determine h(q(s)).", "a": "-3*s**4" }, { "q": "Let k(y) = y + 2612. Let w(d) be the first derivative of d**2/2 + 1650. Calculate k(w(u)).", "a": "u + 2612" }, { "q": "Let y(h) = 13459*h**2. Let n(l) = l**2 + 141*l. Give n(y(u)).", "a": "181144681*u**4 + 1897719*u**2" }, { "q": "Let t(q) be the third derivative of 0*q**3 - 1/30*q**5 - q - 9*q**2 + 0 + 0*q**4. Let w(k) = 104*k + 2. Give w(t(f)).", "a": "-208*f**2 + 2" }, { "q": "Let l(p) = -3*p**2 - 26. Suppose 4*j - 80 = -16. Let v(t) = 4*t**2 + 10*t**2 - j*t**2. Give l(v(w)).", "a": "-12*w**4 - 26" }, { "q": "Let v(a) = -55*a + 28*a - 8*a + 3*a. Let q(b) = 9*b**2. What is q(v(w))?", "a": "9216*w**2" }, { "q": "Let u(p) = p**2. Let w(g) be the third derivative of 13*g**5/60 - 1283*g**2. What is u(w(b))?", "a": "169*b**4" }, { "q": "Let x(b) = 10*b + 5. Let q(o) = -574*o**2 - 182. Let c(t) = 38*t**2 + 12. Let p(z) = -91*c(z) - 6*q(z). Give p(x(r)).", "a": "-1400*r**2 - 1400*r - 350" }, { "q": "Let q(l) = -20567*l. Let n(a) = 3*a**2. What is q(n(v))?", "a": "-61701*v**2" }, { "q": "Let h(b) be the first derivative of b**5/120 - 18*b**3 + 78. Let c(p) be the third derivative of h(p). Let t(v) = 15*v. Calculate c(t(l)).", "a": "15*l" }, { "q": "Let o(i) = 15*i + 4*i - 31*i + i + 9*i. Let g(t) be the first derivative of -2*t**3 - 4*t + 4. Give o(g(v)).", "a": "12*v**2 + 8" }, { "q": "Let z(a) be the third derivative of 6*a - 2*a**5 + 40*a**2 - 2*a - 44*a**2. Let y(g) = 2*g**2. Calculate z(y(l)).", "a": "-480*l**4" }, { "q": "Let p(g) = -g. Let x(l) = 2*l + 228198. What is p(x(d))?", "a": "-2*d - 228198" }, { "q": "Let i(q) = -89*q. Let f(a) = 4 - 4 - 12949*a**2 + 12956*a**2. Give i(f(s)).", "a": "-623*s**2" }, { "q": "Let y(s) = s**2. Let f(n) = -6*n - 126628. Give f(y(z)).", "a": "-6*z**2 - 126628" }, { "q": "Let o(r) = -9*r. Let y(c) be the first derivative of -c**6/360 + 35*c**3/3 - 2. Let u(p) be the third derivative of y(p). What is u(o(i))?", "a": "-81*i**2" }, { "q": "Let n(y) = 5*y**2. Let l(b) = 49 + 42*b**2 + 39*b**2 + 40*b**2 + 34 - 120*b**2. What is n(l(w))?", "a": "5*w**4 + 830*w**2 + 34445" }, { "q": "Let k(i) = 11*i**2. Let n = 142 + -138. Let o(r) = 2*r + n*r - r - 6*r. Determine o(k(z)).", "a": "-11*z**2" }, { "q": "Let u(l) = 38*l**2 - 3. Let v(i) = 25*i**2 - 2. Let g(a) = 2*u(a) - 3*v(a). Let k(p) = 1340*p. Give k(g(f)).", "a": "1340*f**2" }, { "q": "Let y(t) = t. Let h(s) = -s. Let p(q) = -2*h(q) - y(q). Let l(x) = x**2 - 17*x**2 + 6*x**2. Calculate l(p(o)).", "a": "-10*o**2" }, { "q": "Let q(w) = 131*w + 11 - 11 - 484*w - 1198*w. Let j(o) = o**2. Determine q(j(m)).", "a": "-1551*m**2" }, { "q": "Let n(o) = -7*o**2 + 51*o. Let s(k) = 1430*k**2. What is n(s(t))?", "a": "-14314300*t**4 + 72930*t**2" }, { "q": "Let f = -101 + 103. Let z(s) = -3*s**2 + 0*s**2 - 6*s**2 + 7*s**f. Let x(l) = 24*l**2. Determine z(x(g)).", "a": "-1152*g**4" }, { "q": "Let z(q) = -113*q**2. Let f(w) be the first derivative of -8*w**3/3 - 136. What is f(z(t))?", "a": "-102152*t**4" }, { "q": "Let x(i) = 38*i. Let m(k) = 63387*k**2. What is m(x(y))?", "a": "91530828*y**2" }, { "q": "Let a(s) = s + 8. Let f be a(-6). Let p(g) = 2*g + 5*g**f - 2*g - 2*g**2. Let o(c) be the third derivative of -c**5/6 - 4*c**2 + 29*c. Calculate o(p(t)).", "a": "-90*t**4" }, { "q": "Let r(q) = -47*q. Let d(h) = -85*h**2. Let g(l) = 105*l**2. Let p(a) = -4*d(a) - 3*g(a). What is r(p(s))?", "a": "-1175*s**2" }, { "q": "Let m be (72/20)/((-3)/(-10)). Let q be ((-6)/(-12))/(1 - 10/m). Let s(a) = -23 + 13 + q*a**2 + 10. Let h(o) = -2*o**2. Determine h(s(f)).", "a": "-18*f**4" }, { "q": "Let l(o) = 10 + 48*o - 61*o - 10. Suppose 5*n = n + 8. Let i(v) = 4*v - 2*v - 2*v + v**n. Give l(i(h)).", "a": "-13*h**2" }, { "q": "Let t(b) = -4*b + 26. Let p be t(6). Suppose 2*z = q + p, 0*z + 3 = q - z. Let w(c) = -6*c - q*c + 16*c. Let x(r) = -8*r. Determine w(x(n)).", "a": "-16*n" }, { "q": "Let x(t) = -122*t + 1 + 33*t + 64*t + 259*t + 232*t. Let i(q) = -3*q**2. What is i(x(m))?", "a": "-651468*m**2 - 2796*m - 3" }, { "q": "Let f = 49 + -45. Let y be 5 - (5/(-5) + f). Let x(u) = 7*u**2 - u**2 - u**y. Let v(c) = 5*c**2. Give x(v(s)).", "a": "125*s**4" }, { "q": "Let u be (-12)/(-16) - 26/(-8). Let f(h) be the second derivative of 3*h + u*h - h**4 - 6*h + 13*h. Let i(z) = -z**2. What is f(i(t))?", "a": "-12*t**4" }, { "q": "Let q(s) = 35*s. Let m(k) = 15*k + 10. Let p(w) = -62*w - 41. Let x(z) = -9*m(z) - 2*p(z). Let o(d) = -2*d - 2. Let h(t) = 4*o(t) - x(t). What is h(q(n))?", "a": "105*n" }, { "q": "Let v(i) = i**2. Suppose p - 3*p = 6*p. Let t be (p/(-2))/(-7 + 6). Let z(b) = 0 + t - 11*b**2 - 20*b**2. Give z(v(a)).", "a": "-31*a**4" }, { "q": "Let g(w) = -141*w**2 - 6 + 307*w**2 - 148*w**2. Let b(j) = -2*j. Determine b(g(q)).", "a": "-36*q**2 + 12" }, { "q": "Let k be 8/2 - 42639/10980. Let c(d) be the third derivative of k*d**5 + 0 + 0*d + 0*d**3 + 0*d**4 - d**2. Let n(l) = 3*l**2. Determine n(c(g)).", "a": "147*g**4" }, { "q": "Let o(u) be the second derivative of -u**3/6 - 6*u - 41. Let h(m) be the second derivative of -155*m**3/6 + m. Give o(h(n)).", "a": "155*n" }, { "q": "Let d(c) = 98039*c + 33. Let u(y) = y. Determine d(u(t)).", "a": "98039*t + 33" }, { "q": "Let j(y) = -7583*y + 2. Let h(o) = 434*o. Calculate j(h(s)).", "a": "-3291022*s + 2" }, { "q": "Let x(d) = -23*d**2. Let s(h) = -11*h**2 + 8. Let n = -15 - -17. Let g(r) = 0*r**2 + 0*r**n + 3 - r**2 - 3*r**2. Let c(k) = -8*g(k) + 3*s(k). What is x(c(o))?", "a": "-23*o**4" }, { "q": "Let t(p) = -1 + 0 + 0. Let u(n) = 2*n**2 + 5. Let h be 78/(-24) - -3 - (-3)/(-4). Let o(q) = h*u(q) - 5*t(q). Let x(g) = -12*g**2. Determine x(o(m)).", "a": "-48*m**4" }, { "q": "Let q(s) = 13*s - 5. Let t(j) = -57*j + 21. Let c(i) = -21*q(i) - 5*t(i). Let d(o) = 14*o. Determine c(d(b)).", "a": "168*b" }, { "q": "Let q(v) = -90*v**2 - 1418017*v + 1418017*v + 3. Let u(z) = -3*z**2. What is u(q(b))?", "a": "-24300*b**4 + 1620*b**2 - 27" }, { "q": "Let k(l) = -19*l. Let m(c) be the first derivative of 2/3*c**3 - 38 + 0*c + 0*c**2. Calculate m(k(h)).", "a": "722*h**2" }, { "q": "Let a(s) = -4*s. Let f(r) be the third derivative of 0*r + 0 - 7/24*r**4 - 22*r**2 + 0*r**3. What is a(f(b))?", "a": "28*b" }, { "q": "Let p(k) be the second derivative of -k**3/6 - 1319*k. Let c(o) = 372*o**2 + 2*o. Calculate p(c(b)).", "a": "-372*b**2 - 2*b" }, { "q": "Let x(y) = -10988*y - 6. Let g(k) = -16*k**2. Calculate x(g(s)).", "a": "175808*s**2 - 6" }, { "q": "Let d(v) be the first derivative of 13*v**2 + 3*v + 92. Let n(m) be the first derivative of 2*m**3/3 - 6. What is d(n(l))?", "a": "52*l**2 + 3" }, { "q": "Let f(y) be the second derivative of -y**4/12 + 45*y + 1. Let x(l) = 47*l**2 - 10*l + 6*l + 4*l. Calculate x(f(w)).", "a": "47*w**4" }, { "q": "Let v(k) = -10*k**2. Let u(n) = -4*n - 2. Let g(z) = 310*z + 40. Let c(h) = -g(h) - 20*u(h). Calculate v(c(s)).", "a": "-529000*s**2" }, { "q": "Let i(u) be the second derivative of -u**3/6 - u. Let l(y) be the third derivative of 5/6*y**4 + 0*y**3 + 0 + 55*y**2 + 0*y. Determine l(i(j)).", "a": "-20*j" }, { "q": "Let n(g) = -201887*g. Let b(o) = 3*o + 6. Calculate n(b(r)).", "a": "-605661*r - 1211322" }, { "q": "Let r = -29 + 31. Let p(y) = 0*y**2 + 0*y**2 + r*y**2 + 0*y**2. Let u(s) = s**2. What is u(p(j))?", "a": "4*j**4" }, { "q": "Let i(g) = -3*g - 23. Let d(q) be the third derivative of -q**4/3 - q**2 + 197. Give i(d(o)).", "a": "24*o - 23" }, { "q": "Let w(p) = p**2. Let n(b) be the second derivative of -3*b**3 - 75*b**2/2 - 684*b. Give w(n(d)).", "a": "324*d**2 + 2700*d + 5625" }, { "q": "Let z(s) be the second derivative of 0 + 18*s - 5/3*s**4 + 0*s**3 + 0*s**2. Let t(f) = 4*f. What is t(z(i))?", "a": "-80*i**2" }, { "q": "Let p(t) = -229*t**2. Let n(d) = 1383*d. Determine n(p(h)).", "a": "-316707*h**2" }, { "q": "Let r(n) be the third derivative of -n**7/840 - 5*n**4/3 + 4*n**2. Let d(i) be the second derivative of r(i). Let y(c) = 3*c. What is y(d(u))?", "a": "-9*u**2" }, { "q": "Let r(o) = 6*o**2. Let n(y) = -767826*y. Calculate n(r(s)).", "a": "-4606956*s**2" }, { "q": "Suppose 67 = -4*n + 171. Let h = n + -18. Let l(o) = 11 + o - 3 - h. Let w(c) = 5*c. Determine l(w(b)).", "a": "5*b" }, { "q": "Let k(g) = -4756673*g. Let d(y) = -y**2. What is k(d(u))?", "a": "4756673*u**2" }, { "q": "Let b(v) = 2*v**2. Let k(t) = 16213554*t**2. Calculate k(b(h)).", "a": "64854216*h**4" }, { "q": "Let d(m) = 152*m - 7. Let s(v) = -450*v + 19. Let g(x) = 11*d(x) + 4*s(x). Let w(u) = 2*u**2 - 3*u**2 + 3*u**2. Calculate w(g(t)).", "a": "32768*t**2 + 512*t + 2" }, { "q": "Let z(n) = 3*n**2. Let c(p) be the second derivative of 61*p**4/4 + 47*p + 3. What is c(z(b))?", "a": "1647*b**4" }, { "q": "Let z(s) = 2*s**2. Suppose 9 = 3*j - 6. Suppose -3*q + 1 = -j. Let g(d) = -d**2 - 10*d**2 + 3*d**q. Give g(z(m)).", "a": "-32*m**4" }, { "q": "Let l(b) = -1 - 8 - 10*b**2 + 16*b**2 - 8*b**2. Let i(t) = 5*t**2 + 27. Let f(d) = -2*i(d) - 7*l(d). Let q(y) = 2*y. Give f(q(u)).", "a": "16*u**2 + 9" }, { "q": "Let l(q) = -2*q. Let b(y) = -97*y**2 - 2*y + 109. What is b(l(v))?", "a": "-388*v**2 + 4*v + 109" }, { "q": "Let j(a) = -4833*a. Let v(g) = 1701*g**2. What is v(j(y))?", "a": "39731769189*y**2" }, { "q": "Let l(c) be the second derivative of 2*c**3/3 - 557*c - 1. Let m(b) = -2*b - 130. Give m(l(u)).", "a": "-8*u - 130" }, { "q": "Let v(q) = 2. Let y(a) = -a - 1. Let f(z) = -2*z - 11. Let b be f(-5). Let w(k) = b*v(k) - 2*y(k). Let m(t) = -3*t + 13*t + t. Give w(m(n)).", "a": "22*n" }, { "q": "Let q(m) = 159*m**2. Let l = 243 + -227. Let v(o) = 8*o - o**2 - l*o + 8*o. Calculate v(q(d)).", "a": "-25281*d**4" }, { "q": "Let z(o) = 13*o**2. Let d(h) = 234121*h. What is d(z(s))?", "a": "3043573*s**2" }, { "q": "Let w(y) be the third derivative of y**5/60 + y**2. Let k(d) = -10*d - 7. Let h be k(-4). Let s(x) = -h + 33 - 2*x. Determine s(w(p)).", "a": "-2*p**2" }, { "q": "Let y(c) = -2*c. Suppose 5*d - n = 15, -2*d = 3*d + 4*n + 10. Let x(p) = -3*p**d + 56 - 56. Calculate y(x(g)).", "a": "6*g**2" }, { "q": "Let v be ((-12)/(-10))/(30/50). Let x be 4/3*(-12)/(-2). Let u(r) = -v*r + x*r - 3*r - 4*r. Let a(g) = -12*g. Calculate a(u(f)).", "a": "12*f" }, { "q": "Let a(k) = k**2. Let o(x) = -3925344*x. Calculate o(a(p)).", "a": "-3925344*p**2" }, { "q": "Let l(x) be the third derivative of x**5/60 - 6*x**2 + 52. Let u(h) = -27*h**2 - 2*h. Determine l(u(y)).", "a": "729*y**4 + 108*y**3 + 4*y**2" }, { "q": "Let z(x) = -9*x. Let m(b) = -454 - 32*b**2 + 454 - 4*b**2 - 74*b**2. Give z(m(c)).", "a": "990*c**2" }, { "q": "Let m(q) = 2*q. Let k(p) = 23*p + 4. Let l be k(-2). Let y = 62 + l. Let t(x) = -18*x - 20 + y. Determine t(m(s)).", "a": "-36*s" }, { "q": "Let f(j) = 2*j**2. Let z(a) = 2853241*a**2. Calculate z(f(y)).", "a": "11412964*y**4" }, { "q": "Let z(r) = -2*r. Let t(q) = -2*q**2 - 54*q - 10802. What is t(z(n))?", "a": "-8*n**2 + 108*n - 10802" }, { "q": "Let c(u) be the first derivative of u**2/2 - 1215. Let i(o) = -107*o. Determine c(i(l)).", "a": "-107*l" }, { "q": "Let p(x) = -6*x**2 - 81*x**2 - 51*x**2 - 46*x**2. Let b(j) = -j**2. What is p(b(n))?", "a": "-184*n**4" }, { "q": "Let b(s) be the first derivative of 4*s**3 - 132. Let f(q) = 4*q - 2. Determine f(b(d)).", "a": "48*d**2 - 2" }, { "q": "Let p(o) be the second derivative of -2*o**3/3 + 6*o - 248. Let y(h) be the second derivative of -3*h**3/2 - h. What is p(y(k))?", "a": "36*k" }, { "q": "Let g(w) = 134348*w**2. Let z(x) = -x. Calculate z(g(i)).", "a": "-134348*i**2" }, { "q": "Let d(q) = 625*q - 865*q + 239*q. Let t(n) be the first derivative of -n**6/120 + 2*n**3/3 - 2. Let j(s) be the third derivative of t(s). Give d(j(u)).", "a": "3*u**2" }, { "q": "Let h(l) = 527*l - 527. Let o(m) = -39*m + 39. Let u(r) = 5*h(r) + 68*o(r). Let d(c) = -2*c**2. Give u(d(i)).", "a": "34*i**2 + 17" }, { "q": "Let u(b) = 25*b - 2. Let v(i) = i - 1. Let m(w) = u(w) - 2*v(w). Let o(z) be the second derivative of -z**3/2 - 23*z + 85. What is o(m(g))?", "a": "-69*g" }, { "q": "Let t(m) be the first derivative of 0*m + 0*m**3 - 7 - 13/2*m**2 + 1/8*m**4. Let x(h) be the second derivative of t(h). Let p(g) = -3*g. Calculate x(p(r)).", "a": "-9*r" }, { "q": "Let n(h) = 52714*h**2. Let g(p) = -148*p**2. What is n(g(v))?", "a": "1154647456*v**4" }, { "q": "Let a(i) = 627960*i - 2. Let v(m) = -m. Give a(v(y)).", "a": "-627960*y - 2" }, { "q": "Let s(f) be the third derivative of f**4/12 + 570*f**2. Let l(i) = 177*i + 2. Determine s(l(k)).", "a": "354*k + 4" }, { "q": "Let l(w) = 14*w - 5. Let m(x) = -57*x + 19. Let d be -2 + 0 - ((-99)/3 + 1). Let r = -11 + d. Let q(c) = r*l(c) + 5*m(c). Let n(y) = -2*y. Give q(n(g)).", "a": "38*g" }, { "q": "Let s(k) be the second derivative of k**4/6 - 3*k. Suppose 3*t = -5*r + 75, 7*t - 2*t = -5*r + 85. Let l(n) = r*n**2 - 13*n**2 + 6*n**2. Determine l(s(z)).", "a": "20*z**4" }, { "q": "Let g(c) = 2*c. Let j(l) = -248230*l**2. Determine g(j(h)).", "a": "-496460*h**2" }, { "q": "Let f(j) = 46*j**2 + 6125*j - 3. Let y(r) = 6*r. Give y(f(w)).", "a": "276*w**2 + 36750*w - 18" }, { "q": "Let i(z) = 180*z**2 - 3*z. Let x(t) = -5*t + 1099. What is x(i(q))?", "a": "-900*q**2 + 15*q + 1099" }, { "q": "Let g(y) = -1 - 549*y + 1 + 1097*y - 546*y. Let a(r) = -3*r**2 + 10*r. What is g(a(i))?", "a": "-6*i**2 + 20*i" }, { "q": "Let z(i) = i**2 + 5197*i. Let s(y) = -125*y - 2. Calculate z(s(m)).", "a": "15625*m**2 - 649125*m - 10390" }, { "q": "Suppose -3 - 7 = -2*d. Let i(b) = 5 - d + 8*b. Let t(l) be the second derivative of -l**4/6 - 245*l. Calculate t(i(s)).", "a": "-128*s**2" }, { "q": "Let f(u) = 982*u + 781. Let g(d) = -2*d. Give f(g(j)).", "a": "-1964*j + 781" }, { "q": "Let z(p) = -4*p + 475*p**2 + 0*p - 467*p**2 + 4*p. Let d(t) be the second derivative of 4*t**3/3 - t. Give z(d(y)).", "a": "512*y**2" }, { "q": "Let i(k) be the first derivative of 6 + 0*k**2 + 4/3*k**3 + 0*k. Let a(r) be the third derivative of -7*r**4/24 + 2*r**2 - r. What is a(i(l))?", "a": "-28*l**2" }, { "q": "Let x(d) = -5562806*d. Let u(c) = c**2. Determine u(x(y)).", "a": "30944810593636*y**2" }, { "q": "Let p(m) = 104*m. Let i(g) be the second derivative of -g**3/3 - 1387*g. Give i(p(s)).", "a": "-208*s" }, { "q": "Let a(n) = 4*n - 3*n + 2*n. Let j(l) be the third derivative of 0*l - 1/5*l**5 + 0 + 0*l**4 + 0*l**3 - 25*l**2. Give j(a(q)).", "a": "-108*q**2" }, { "q": "Let c(f) = -2*f**2. Let o be -1*29/(-1) + 3/3. Suppose 3*y = -2*y + o. Let w(l) = -9 - y*l**2 + 9 - 11*l**2. Determine c(w(h)).", "a": "-578*h**4" }, { "q": "Let g(a) = -a + 6. Let r(q) be the first derivative of q**4/12 + 78*q - 36. Let t(n) be the first derivative of r(n). Give t(g(i)).", "a": "i**2 - 12*i + 36" }, { "q": "Let u(f) = 1170784*f + 2. Let b(g) = 4*g. Calculate u(b(i)).", "a": "4683136*i + 2" }, { "q": "Let a(h) = 21*h + 252. Let b(n) = -n - 9. Let f(o) = -a(o) - 28*b(o). Let d(r) = -116*r**2. Determine d(f(g)).", "a": "-5684*g**2" }, { "q": "Let u(s) = -9*s**2. Let m(f) be the third derivative of 8 + 0*f + 0*f**4 + 0*f**3 - 4*f**2 + 1/60*f**5. Determine u(m(l)).", "a": "-9*l**4" }, { "q": "Let u(p) = -158*p - 1. Let h(x) be the second derivative of x**4/12 - 514*x. Give h(u(m)).", "a": "24964*m**2 + 316*m + 1" }, { "q": "Let g(w) = -2*w**2. Let m(s) = 5050504*s. Calculate g(m(d)).", "a": "-51015181308032*d**2" }, { "q": "Let l(w) = 1530*w**2. Let v(r) = 3*r**2 + 267*r. Give v(l(d)).", "a": "7022700*d**4 + 408510*d**2" }, { "q": "Let f(k) = 2*k + 7. Let l(w) = -5*w - 4. Let o(c) = 5*c + 5. Let a(g) = -5*l(g) - 4*o(g). Calculate a(f(d)).", "a": "10*d + 35" }, { "q": "Let o(l) = 1078*l. Let p(i) = -50*i**2 - i + 8. Calculate o(p(m)).", "a": "-53900*m**2 - 1078*m + 8624" }, { "q": "Let o(p) = 4*p. Let s(g) be the first derivative of -63 + 0*g + 7/2*g**2. Determine s(o(h)).", "a": "28*h" }, { "q": "Let c(i) be the second derivative of i**3/2 - 93*i. Let x(d) = -93*d**2 - 2. What is x(c(n))?", "a": "-837*n**2 - 2" }, { "q": "Let z(x) = 43*x - 12. Let l(j) = 10*j - 3. Let t(p) = -4*l(p) + z(p). Let o(y) be the first derivative of 19*y**3/3 - 1. Determine t(o(w)).", "a": "57*w**2" }, { "q": "Let t(u) = -183*u. Let b(h) = -34085*h. What is b(t(g))?", "a": "6237555*g" }, { "q": "Let c(b) = 5*b**2 + 9. Let k(w) = 2*w**2 + 4. Let x = 13 + -4. Let f(o) = x*k(o) - 4*c(o). Let y(m) be the second derivative of 11*m**3/3 - 25*m. Give y(f(l)).", "a": "-44*l**2" }, { "q": "Let f(z) = 2*z**2. Let m(h) = 7913635*h. Give m(f(v)).", "a": "15827270*v**2" }, { "q": "Let g(p) = -16*p. Let d(h) be the second derivative of 61*h**3/6 - 467*h + 3. Determine g(d(k)).", "a": "-976*k" }, { "q": "Suppose 4*z + 4*t = 16, 2 = -z - 3*z + 5*t. Let v(u) = 7*u**2 + u**2 + 0*u**2 - 4*u**z. Let o(n) = -62*n - 71*n + 126*n. Give o(v(x)).", "a": "-28*x**2" }, { "q": "Let f(s) = -19*s + 175. Let o be f(9). Let h be (-8)/(-2)*(-3)/(-6). Let x(d) = 6*d**h - d**2 - o*d**2. Let n(u) = -9*u. Give n(x(p)).", "a": "-9*p**2" }, { "q": "Let x(q) be the third derivative of -33*q**5/10 + 1484*q**2. Let b(h) = h. What is b(x(n))?", "a": "-198*n**2" }, { "q": "Let l(u) = -3*u**2. Let b(k) = 49220*k**2 - 1177*k - 5885. Let q(v) = 209*v**2 - 5*v - 25. Let c(m) = 5*b(m) - 1177*q(m). Determine l(c(f)).", "a": "-34347*f**4" }, { "q": "Let p(s) = -2*s. Let b(k) be the first derivative of -162*k**2 - 239. Calculate b(p(h)).", "a": "648*h" }, { "q": "Suppose 4*b = 4*g - 24, 0 = -3*g + 4*b + 7 + 15. Let q(a) = 7*a**2 + 3*a**2 - 5*a**2 - 3*a**g. Let o(h) = -12*h. Calculate o(q(z)).", "a": "-24*z**2" }, { "q": "Let j(d) = d**2 - 3282. Let y(o) be the third derivative of -o**4/12 + 1063*o**2. Determine y(j(k)).", "a": "-2*k**2 + 6564" }, { "q": "Let r(q) = -40*q - 407. Let x(m) = 66*m**2. Calculate r(x(p)).", "a": "-2640*p**2 - 407" }, { "q": "Let d(s) = 39*s. Let u(z) = 3*z + 28. Let i(x) = -x - 21. Let c(l) = 4*i(l) + 3*u(l). Give c(d(t)).", "a": "195*t" }, { "q": "Let r(c) be the second derivative of c**4/12 + 661*c**3/6 + 403*c. Let j(b) = -b. Calculate r(j(f)).", "a": "f**2 - 661*f" }, { "q": "Let s(g) be the third derivative of -g**7/504 + g**4/2 + 9*g**2. Let l(j) be the second derivative of s(j). Let x(i) = -i + 3*i - 5*i. What is l(x(m))?", "a": "-45*m**2" }, { "q": "Let p(c) = -45*c. Let y(s) = -28781*s. Calculate y(p(v)).", "a": "1295145*v" }, { "q": "Let d(s) be the third derivative of s**4/12 + 18*s**2. Let c(r) be the third derivative of 19*r**4/8 - r**3/3 + 62*r**2. Calculate d(c(w)).", "a": "114*w - 4" }, { "q": "Let x(a) = 263043*a + 14. Let l(y) = y. What is x(l(h))?", "a": "263043*h + 14" }, { "q": "Suppose -80 + 17 = -3*a. Let f(g) = -g - 1. Let d(m) = -8*m + 7. Let x(j) = a*f(j) + 3*d(j). Let c(h) = h**2. What is c(x(p))?", "a": "2025*p**2" }, { "q": "Let d(x) be the second derivative of 5*x**3/6 + 410*x. Let l(i) = 37*i**2. Calculate d(l(m)).", "a": "185*m**2" }, { "q": "Let g(k) = -2*k**2. Let u(h) = -1917*h + 55. Let j(i) = -70928*i + 2046. Let t(b) = 5*j(b) - 186*u(b). What is g(t(z))?", "a": "-7388168*z**2" }, { "q": "Let h(g) = -59*g - 65*g + 0*g + 5*g + 6*g. Let t(a) = -3*a - a**2 - a + 4*a. What is t(h(p))?", "a": "-12769*p**2" }, { "q": "Let w(s) = -13*s**2. Let y(x) = -947*x**2 + 294*x + 2. Calculate y(w(i)).", "a": "-160043*i**4 - 3822*i**2 + 2" }, { "q": "Let t(l) = -3*l**2. Let i(u) = 26*u. Let x(s) be the third derivative of -s**4/12 - 49*s**2. Let w(n) = 2*i(n) + 22*x(n). Give t(w(p)).", "a": "-192*p**2" }, { "q": "Let t(n) = -54*n - 2. Let h(k) = 3*k + 2. Let c(y) = 143*y + 88. Let w(u) = c(u) - 44*h(u). Calculate w(t(r)).", "a": "-594*r - 22" }, { "q": "Let h(p) = 12*p - 6*p - 13*p + 13*p - 4*p. Let w(n) = -39*n**2 - 2*n - 3. Let l(m) = 78*m**2 + 5*m + 7. Let r(g) = -2*l(g) - 5*w(g). Calculate r(h(v)).", "a": "156*v**2 + 1" }, { "q": "Let j(w) = -2*w - 67. Let v(f) = 39*f**2 - 65. Calculate j(v(l)).", "a": "-78*l**2 + 63" }, { "q": "Let x(d) = 74*d - 22. Let u(b) = -3*b + 2. Let j(a) = -10*u(a) - x(a). Let l(s) = -5*s**2. Calculate j(l(y)).", "a": "220*y**2 + 2" }, { "q": "Let z(x) = -x. Let i(c) = -113*c**2 - 3*c. Let d(l) = -114*l**2 - 4*l. Suppose -4*q - 72 + 60 = 0. Let b(o) = q*d(o) + 4*i(o). Calculate b(z(g)).", "a": "-110*g**2" }, { "q": "Let c(o) = -1593*o**2. Let g(i) = -18*i**2 + 10. Let m(q) = 11*q**2 - 6. Let p(k) = -3*g(k) - 5*m(k). Determine p(c(t)).", "a": "-2537649*t**4" }, { "q": "Let s(c) = 263*c. Let d(n) = 8*n**2 - 27. Calculate s(d(z)).", "a": "2104*z**2 - 7101" }, { "q": "Let m(u) = -20*u**2 - u + 2417. Let r(x) = -6*x. Calculate r(m(l)).", "a": "120*l**2 + 6*l - 14502" }, { "q": "Let m(b) = 154*b**2 + 63*b - 126. Let r(i) = -5*i**2 - 2*i + 4. Let o(w) = -2*m(w) - 63*r(w). Let p(n) = -98*n. Calculate p(o(l)).", "a": "-686*l**2" }, { "q": "Let l(u) = -24502*u + 24. Let p(y) = 14*y. Give l(p(j)).", "a": "-343028*j + 24" }, { "q": "Let h(r) = -r. Let q(p) be the first derivative of -249*p**2 + 1262. Determine q(h(t)).", "a": "498*t" }, { "q": "Let g(a) = -12*a. Let v(q) = 7*q + 1. Let o(n) = -23*n**2 + 18*n + 2. Let l(y) = -o(y) + 2*v(y). Determine l(g(s)).", "a": "3312*s**2 + 48*s" }, { "q": "Let f(g) = -4*g. Let o(l) = 24*l - 29. Let d(t) = 59*t - 57. Let c(h) = -2*d(h) + 5*o(h). Determine f(c(n)).", "a": "-8*n + 124" }, { "q": "Let r(j) = 0*j + 2*j + 976 - 983. Let n(v) = v**2. Calculate r(n(h)).", "a": "2*h**2 - 7" }, { "q": "Let b(j) be the first derivative of -j**4/2 - 8*j**2 + j - 21. Let k(y) be the second derivative of b(y). Let x(r) = 3*r**2 - r**2 - 3*r**2. What is k(x(z))?", "a": "12*z**2" }, { "q": "Let c(h) = -2*h - 2. Let g(q) = -q - 3. Let n(r) = 14*r + 3. Let k(t) = -g(t) - n(t). What is k(c(w))?", "a": "26*w + 26" }, { "q": "Let n(p) be the second derivative of -14*p**3/3 - 158*p. Let h(u) be the first derivative of -u**3 + 2. Calculate h(n(d)).", "a": "-2352*d**2" }, { "q": "Let s(c) = 625*c**2. Let w(v) = 7931*v**2. Calculate s(w(z)).", "a": "39312975625*z**4" }, { "q": "Let u(a) = -2*a. Let y(n) = 23460956*n**2. What is u(y(p))?", "a": "-46921912*p**2" }, { "q": "Let y(o) = o - 6. Let j(v) = -7*v - 93. Let n(x) = j(x) + 5*y(x). Let m(r) = 2*r**2. Calculate n(m(d)).", "a": "-4*d**2 - 123" }, { "q": "Let m(u) = -2*u + 27. Let x be m(9). Let w(t) = -2*t + 3*t**2 + 2*t + x*t**2. Let p(q) = 3*q**2 + 0*q**2 - q**2. Give w(p(k)).", "a": "48*k**4" }, { "q": "Let i(y) = 412*y**2. Let f(g) = -g - 42. Let h(m) = -42. Let k(q) = f(q) - h(q). Determine k(i(p)).", "a": "-412*p**2" }, { "q": "Let x(y) = -162*y - 160*y - 173*y + 494*y. Let n(g) be the third derivative of 9*g**5/20 + g**2. What is n(x(f))?", "a": "27*f**2" }, { "q": "Let g(r) be the third derivative of r**4/24 - 1122*r**2. Let t(k) = 10*k**2. Calculate t(g(u)).", "a": "10*u**2" }, { "q": "Let c(r) = -7580*r**2 + 51*r. Let h(d) = 27*d. Determine c(h(x)).", "a": "-5525820*x**2 + 1377*x" }, { "q": "Let d(c) = -154146*c. Let y(t) = -18*t**2 + 2*t. Determine d(y(g)).", "a": "2774628*g**2 - 308292*g" }, { "q": "Let c(o) = 2*o + 143. Let a(p) = -81*p. Calculate c(a(x)).", "a": "-162*x + 143" }, { "q": "Let v(m) = 3*m**2. Suppose -686 = -10*c + 3*c. Let a be (-3)/(-5) + c/70. Let k(g) = 6*g - 2*g - a*g - 4*g. Give v(k(f)).", "a": "12*f**2" }, { "q": "Let f(n) = 116*n - 3241. Let t(q) = 10*q. Determine f(t(u)).", "a": "1160*u - 3241" }, { "q": "Let g(m) = 19*m**2 + 1 - 1. Let x(r) be the second derivative of r**5/120 + 37*r**3/6 + 9*r. Let v(a) be the second derivative of x(a). Give v(g(c)).", "a": "19*c**2" }, { "q": "Let v(m) = 4289*m. Let t(h) = -313*h**2 - 2. What is t(v(z))?", "a": "-5757798073*z**2 - 2" }, { "q": "Let o(q) = -1301144*q**2. Let u(l) = 3*l. Give u(o(p)).", "a": "-3903432*p**2" }, { "q": "Let u(s) = -2*s. Let p(z) be the third derivative of 14 - 3*z**2 + 0*z + 1/6*z**3 + 0*z**4 - 1/5*z**5. Determine p(u(g)).", "a": "-48*g**2 + 1" }, { "q": "Let q(k) = -3*k. Let w(x) = 92*x**2 + 5516. Determine w(q(r)).", "a": "828*r**2 + 5516" }, { "q": "Let z(t) = -3*t**2. Let o(a) = 988968*a. Determine o(z(b)).", "a": "-2966904*b**2" }, { "q": "Let y(g) = 917*g**2. Let k(u) = -5044*u**2 + 1. Determine k(y(l)).", "a": "-4241444116*l**4 + 1" }, { "q": "Let x(m) = -190*m**2 + 4610. Let q(b) = 3*b. Calculate x(q(h)).", "a": "-1710*h**2 + 4610" }, { "q": "Let f(v) = -14*v**2. Let p = -87 - -122. Let s be (-7)/(p/(-15)) + 241*2. Let m(b) = 485 - s - 2*b**2. What is f(m(u))?", "a": "-56*u**4" }, { "q": "Let n(h) = 2*h - 4. Let l(z) = 486*z**2 - 164*z**2 - 176*z**2 - 166*z**2. Give l(n(o)).", "a": "-80*o**2 + 320*o - 320" }, { "q": "Let b(j) = -13*j. Let m be (-3 - -4)*(12 - 16). Let w(u) = -10*u. Let d(t) = m*b(t) + 5*w(t). Let a(o) = -3*o**2. What is d(a(i))?", "a": "-6*i**2" }, { "q": "Let f(d) be the first derivative of -100*d**3/3 - 3. Let q(b) = -6*b**2 - 5*b + 5. Let k(i) = 5*i**2 + 4*i - 4. Let t(n) = 5*k(n) + 4*q(n). What is f(t(a))?", "a": "-100*a**4" }, { "q": "Let i(g) be the first derivative of -g**2 - 644. Let q(z) = -241*z. Calculate i(q(k)).", "a": "482*k" }, { "q": "Suppose 0 = -11*p + 65 + 1. Let g(o) = -7*o + 0*o + p*o. Let q(x) = 34*x + 1. Give q(g(z)).", "a": "-34*z + 1" }, { "q": "Let v(i) = -10 + 3 + 0 - 36*i + 7. Let g(x) = 19*x**2. Determine v(g(r)).", "a": "-684*r**2" }, { "q": "Let p(b) = b**2 - 1. Let d(o) = 22*o**3 - 55*o**2. Let q(x) = d(x) + 55*p(x). Let h(f) be the first derivative of q(f). Let j(l) = 2*l**2. Calculate h(j(i)).", "a": "264*i**4" }, { "q": "Let n(b) = 978639*b. Let p(c) = c**2. What is n(p(r))?", "a": "978639*r**2" }, { "q": "Let o(z) = -8686*z + 447. Let i(h) = -h**2. Determine o(i(w)).", "a": "8686*w**2 + 447" }, { "q": "Let f(l) be the first derivative of -5*l**4/24 - l**2 - l - 4. Let w(a) be the second derivative of f(a). Let m(y) = 18*y. Calculate m(w(u)).", "a": "-90*u" }, { "q": "Suppose 20 = 5*x + 4*m, 4*x + 3*m - 20 = -m. Let z(t) = x - 11*t**2 + 9 - 9. Let q(v) = -v. Give z(q(h)).", "a": "-11*h**2" }, { "q": "Let z = 3490 - 3486. Let i(a) be the third derivative of -7*a**2 + 13/60*a**5 + 0*a + 0*a**z + 0 + 0*a**3. Let h(b) = -b**2. Determine i(h(s)).", "a": "13*s**4" }, { "q": "Let j(b) be the first derivative of 41*b**2/2 + 3*b - 1212. Let i(k) = -4*k. What is j(i(g))?", "a": "-164*g + 3" }, { "q": "Let c(s) = -s. Let p(h) = 347*h - 8060. What is p(c(y))?", "a": "-347*y - 8060" }, { "q": "Let j(a) = 2*a + 4. Let n(r) = 2 - 9*r + 7*r - 5. Let x(h) = -3*j(h) - 4*n(h). Let k(f) be the second derivative of -29*f**4/12 - 104*f. Calculate k(x(c)).", "a": "-116*c**2" }, { "q": "Let u(a) be the second derivative of a**3/3 + 2*a. Suppose 3*d - 10*v + 7*v = 42, 0 = 2*d + v - 19. Let q(w) = -19 + d*w**2 + 19 + 4*w**2. Give q(u(f)).", "a": "60*f**2" }, { "q": "Let g(k) = -52*k**2 - 1587*k - 1. Let z(b) = b. Calculate g(z(d)).", "a": "-52*d**2 - 1587*d - 1" }, { "q": "Let q(h) = 17*h - 7. Let t(y) = 73 - 13 - 13 - 2*y - 47. What is t(q(l))?", "a": "-34*l + 14" }, { "q": "Suppose 2*r = 5*a + 31, a = -r - r + 37. Let p(t) = -65*t + r*t + 20*t + 22*t. Let l(u) = 4*u. What is l(p(o))?", "a": "-20*o" }, { "q": "Let t be (2/5)/((-2)/(-10)). Let j(v) = -2 + 17*v**t + 0 + 2. Let n(d) = 0 + 1198*d**2 - 1197*d**2 + 0 + 0. What is n(j(a))?", "a": "289*a**4" }, { "q": "Let a(h) = -26*h. Let v(x) = -19*x**2 + 8*x + 4. Let z(r) = 23*r**2 - 10*r - 5. Let c(g) = 10*v(g) + 8*z(g). Calculate a(c(s)).", "a": "156*s**2" }, { "q": "Let h(y) = 2*y + 1. Let c(r) = r + 7. Let i(w) = 27*w**2 - 5*w - 35. Let x(o) = -5*c(o) - i(o). What is x(h(z))?", "a": "-108*z**2 - 108*z - 27" }, { "q": "Let q(h) = -h - 2. Let c(g) = -7. Let z(o) = o - 1. Let j(d) = -c(d) + 2*z(d). Let v(p) = -2*j(p) - 5*q(p). Let b(r) = 2*r**2 - 18*r. Calculate b(v(l)).", "a": "2*l**2 - 18*l" }, { "q": "Let a(w) = 12*w**2. Let z(m) = -29555*m. What is z(a(c))?", "a": "-354660*c**2" }, { "q": "Let r(m) = 24*m**2 - 1. Let q(i) = i - 3255. What is q(r(y))?", "a": "24*y**2 - 3256" }, { "q": "Let i = -173 - -182. Let h(c) = 0*c - i*c + 0*c. Let x(q) = -4*q**2. Determine h(x(z)).", "a": "36*z**2" }, { "q": "Let t(l) = -l. Let d(w) = -59036*w + 143. Determine d(t(p)).", "a": "59036*p + 143" }, { "q": "Let m(r) = -6*r - 3. Let i(u) = -200*u**2 - 14. Calculate i(m(z)).", "a": "-7200*z**2 - 7200*z - 1814" }, { "q": "Let y(x) = x + 3*x - 2*x. Suppose 0 = 6*v - 19 + 7. Let t(z) = -3 - 7*z**v + 4*z**2 + 3. Give t(y(p)).", "a": "-12*p**2" }, { "q": "Suppose -4*k + 23 - 59 = 0. Let q be 24/18*k/(-4). Let f(r) = r - 3 + q + 0. Let u(g) = -21*g. Determine u(f(d)).", "a": "-21*d" }, { "q": "Let y(q) = 9 - 1157*q - 9 + 580*q + 579*q. Let m(l) = -224*l - 3. What is y(m(t))?", "a": "-448*t - 6" }, { "q": "Let i(h) be the second derivative of -h**3/6 + 1352*h. Let a(d) = 281*d**2. Calculate i(a(b)).", "a": "-281*b**2" }, { "q": "Let r(s) = -s**2. Let t(p) be the third derivative of -p**6/40 - 5*p**3/6 + p**2 + 20. Let f(o) be the first derivative of t(o). What is r(f(a))?", "a": "-81*a**4" }, { "q": "Let k(y) = 5807 - 5807 + 2*y**2. Let s(o) = 287*o**2. What is s(k(n))?", "a": "1148*n**4" }, { "q": "Let a(v) = 6*v - 1. Let x(m) = -8*m + 1. Let z(u) = a(u) + x(u). Let w(s) = 3*s + 128. Determine w(z(k)).", "a": "-6*k + 128" }, { "q": "Let s(k) = -59*k**2. Let o(q) = -63*q**2 - 10*q + 70. Let j(g) = 42*g**2 + 7*g - 49. Let m(p) = -10*j(p) - 7*o(p). Determine s(m(a)).", "a": "-26019*a**4" }, { "q": "Let a(o) = -9*o. Let m(c) = 326*c - 720. Determine m(a(g)).", "a": "-2934*g - 720" }, { "q": "Let g(h) = 1898097*h. Let o(u) = -8*u. What is o(g(t))?", "a": "-15184776*t" }, { "q": "Let z(i) = -i. Let s(a) be the first derivative of 157 - 67 - 72 + 14*a**2. What is s(z(m))?", "a": "-28*m" }, { "q": "Let k be (-1017)/756 + (-90)/(-63). Let h(x) be the second derivative of -13*x + 0 + 0*x**2 + 0*x**3 - k*x**4. Let i(q) = 2*q**2. Determine i(h(r)).", "a": "2*r**4" }, { "q": "Suppose -2*i + 0 = -4. Let u(g) = 5*g**2 - 2*g**2 - 2*g**i. Let f(z) = -687*z**2 + 1376*z**2 - 688*z**2. Calculate f(u(a)).", "a": "a**4" }, { "q": "Let m = -179 + 182. Let q(g) = -1018 + 1018 + m*g**2. Let v(n) = -3*n. What is v(q(t))?", "a": "-9*t**2" }, { "q": "Let l(s) be the second derivative of 13*s**3/3 - 1271*s. Let u(c) = 6*c**2 + c. Determine u(l(t)).", "a": "4056*t**2 + 26*t" }, { "q": "Let x(c) = 6*c + 4*c - 12*c. Let b(t) = 59*t - 57 + 74*t + 70*t - 205*t. Determine x(b(l)).", "a": "4*l + 114" }, { "q": "Let h(k) = 37 - 8*k**2 - k**2 + 5*k**2 - 37. Let o(q) = -5*q + 2. What is o(h(c))?", "a": "20*c**2 + 2" }, { "q": "Let p(w) = -2*w. Let q(k) = 16*k**2. Let l(r) = -r**2. Let o(c) = -2*c**2 - 2*c + 7. Let b be o(-3). Let h(a) = b*l(a) - q(a). Give p(h(s)).", "a": "22*s**2" }, { "q": "Let n(m) = 214824*m**2 + 6*m - 2. Let i(q) = q. Determine n(i(a)).", "a": "214824*a**2 + 6*a - 2" }, { "q": "Let i(o) = o. Let m(y) = 13*y**2 + 8*y + 1. Let n be m(4). Let f(k) = 2*k + 109 - n + 102. Give f(i(p)).", "a": "2*p - 30" }, { "q": "Let r(x) = 71597*x**2. Let n(t) = -67*t + 1. What is n(r(l))?", "a": "-4796999*l**2 + 1" }, { "q": "Let o(x) = 2*x**2. Let w(h) = -618 + 618 + 493*h**2 - 167*h**2. Give o(w(f)).", "a": "212552*f**4" }, { "q": "Let t(v) = -4*v. Let z(l) be the third derivative of 7*l**4/24 + 5*l**3/6 - 1342*l**2. Give z(t(q)).", "a": "-28*q + 5" }, { "q": "Let n(y) = -3*y - 2. Suppose -t - i = 4, -t = -i - 2*i - 4. Let b(o) = -8*o - 5. Let h(w) = t*b(w) + 5*n(w). Let u(l) = -l - 58. What is h(u(z))?", "a": "-z - 58" }, { "q": "Let q(f) = -f**2 + 10*f - 14. Let t be q(8). Let s(n) = -4*n - n + t*n + 6*n. Let c(z) = -z**2 + z. Let m(d) = -3*c(d) + s(d). Let h(k) = 6*k. What is h(m(w))?", "a": "18*w**2" }, { "q": "Let d(x) = -25*x + 2. Let n be d(-2). Let w = n + -43. Let g(k) = w*k**2 - 5*k**2 - 2*k**2. Let s(p) = -25*p**2. What is s(g(q))?", "a": "-100*q**4" }, { "q": "Let a(z) be the second derivative of -5*z**3/3 - 2*z. Let w(j) be the third derivative of -j**5/12 + 2*j**2 - 106. Calculate w(a(b)).", "a": "-500*b**2" }, { "q": "Let d(k) = -27*k. Let a(h) = -4946*h**2 - 25. Determine d(a(g)).", "a": "133542*g**2 + 675" }, { "q": "Let r(b) = -26*b + 66*b + 4*b**2 - 5*b**2. Let t(s) be the second derivative of -s**4/4 + 9645*s. Determine t(r(c)).", "a": "-3*c**4 + 240*c**3 - 4800*c**2" }, { "q": "Let z be 372/32 + (-6)/(-16). Let r(c) = -z*c - 4*c**2 + 12*c - 7*c**2. Let q(l) = -l**2. Determine q(r(u)).", "a": "-121*u**4" }, { "q": "Let g(u) = 329*u**2 - 660*u**2 + 325*u**2. Let c(i) = 2*i - 92. Give g(c(y)).", "a": "-24*y**2 + 2208*y - 50784" }, { "q": "Let s(q) = -18*q - 9*q + 48*q - 20*q. Let n(y) = 4*y + 13. Determine s(n(l)).", "a": "4*l + 13" }, { "q": "Let u(q) = -209535*q. Let y(a) = -43*a**2. What is u(y(b))?", "a": "9010005*b**2" }, { "q": "Let u(k) = 508632*k. Let o(h) = -17*h**2. Calculate u(o(s)).", "a": "-8646744*s**2" }, { "q": "Let h(p) = -p**2. Let a(b) be the second derivative of b**4/12 - b**2/2 - b - 47. Let d(w) = -10*w**2 + 2. Let y(m) = 6*a(m) + d(m). Determine h(y(s)).", "a": "-16*s**4 - 32*s**2 - 16" }, { "q": "Let g(d) = -11*d. Let k(h) = -h**2 - 90475*h. What is g(k(l))?", "a": "11*l**2 + 995225*l" }, { "q": "Let w(l) be the third derivative of l**5/60 + 23*l**3/2 + 280*l**2. Let s(u) = 14*u. What is w(s(d))?", "a": "196*d**2 + 69" }, { "q": "Suppose f = 3, -2*f - 2 + 15 = r. Let m(z) = 4*z - 23. Let t be m(r). Let k(x) = t*x**2 - 6*x**2 + 4*x**2. Let i(c) = -8*c. Calculate i(k(j)).", "a": "-24*j**2" }, { "q": "Let q(c) = -9*c - 2. Let m(p) = -814*p**2 - 3 - 774*p**2 + 1628*p**2 + 3. What is q(m(r))?", "a": "-360*r**2 - 2" }, { "q": "Let m(u) = -4*u**2. Let y(a) be the second derivative of 0 + 0*a**4 - 1/30*a**5 - 3*a + 0*a**3 - 9*a**2. Let s(v) be the first derivative of y(v). Give s(m(l)).", "a": "-32*l**4" }, { "q": "Let j(k) = 332*k**2. Let w(p) = -p**2 - 14*p - 7. Let v(d) = d**2 + 6*d + 3. Let a(n) = 7*v(n) + 3*w(n). What is a(j(f))?", "a": "440896*f**4" }, { "q": "Let i(r) = 13*r**2 + 7. Let z(o) = 2*o**2 - 1227*o. Determine z(i(n)).", "a": "338*n**4 - 15587*n**2 - 8491" }, { "q": "Let t(h) = 11*h**2. Suppose 0*s = -7*s + 14. Let z(d) = 0*d**2 - 2*d**s + 120*d - 120*d. Calculate t(z(x)).", "a": "44*x**4" }, { "q": "Let c(a) = -385242*a**2. Let g(v) = -24*v**2. Calculate g(c(z)).", "a": "-3561873565536*z**4" }, { "q": "Let i(g) = -97*g**2. Let c(x) = -3*x + 7. Let d(n) = n - 3. Let s(b) = -6*c(b) - 14*d(b). What is s(i(r))?", "a": "-388*r**2" }, { "q": "Let q be 6/10 + 247/5. Let b(n) = -47*n + 66*n - q*n. Let f(u) be the second derivative of -u**4/6 - u. Determine f(b(i)).", "a": "-1922*i**2" }, { "q": "Let o(g) = 4*g**2. Let w(z) = -10*z**2 + 21*z - 811. Let r(u) = 3*u**2 - 6*u + 270. Let p(f) = -14*r(f) - 4*w(f). Give p(o(n)).", "a": "-32*n**4 - 536" }, { "q": "Let m(x) be the first derivative of x**3 + 42. Let j(f) = 10*f - 4. Let b(n) = 2*n - 1. Let u(l) = -4*b(l) + j(l). Give m(u(y)).", "a": "12*y**2" }, { "q": "Let g(j) = 3*j**2. Let z(y) = -37*y - 6 + 5 - 20*y - 27*y. Calculate g(z(d)).", "a": "21168*d**2 + 504*d + 3" }, { "q": "Let i(m) = 4*m. Let f(n) = -2*n**2 - 3025766. Give f(i(h)).", "a": "-32*h**2 - 3025766" }, { "q": "Let l(r) = 8*r. Let i(q) = -2*q + 594133. Determine i(l(o)).", "a": "-16*o + 594133" }, { "q": "Let s(t) be the third derivative of 0*t**3 + 0 + t**2 - 1/24*t**4 + 0*t. Let n(q) = 26*q + 52*q - 93*q. Give s(n(c)).", "a": "15*c" }, { "q": "Let g(u) = -51*u. Let q(c) = -29*c + 17*c + 8*c + 23*c. Calculate g(q(i)).", "a": "-969*i" }, { "q": "Let n(y) = -38*y. Let x(f) = 7671*f**2 + 2. Give n(x(o)).", "a": "-291498*o**2 - 76" }, { "q": "Let u(v) be the first derivative of -12 + 11*v + 0*v**3 + 0*v**2 - 31/12*v**4. Let m(r) be the first derivative of u(r). Let h(g) = -g. What is h(m(a))?", "a": "31*a**2" }, { "q": "Let x(l) = -6*l**2. Let z(g) be the third derivative of -35*g**2 + 0*g**3 + 0 + 0*g - 1/24*g**4. Give x(z(y)).", "a": "-6*y**2" }, { "q": "Let j(h) = h + 8037548. Let v(r) = r**2. Calculate j(v(a)).", "a": "a**2 + 8037548" }, { "q": "Let y(f) = 85*f**2 + 1862*f + 6. Let p(d) = -d. Determine y(p(l)).", "a": "85*l**2 - 1862*l + 6" }, { "q": "Let t(p) = 16*p. Let w(r) be the first derivative of 33*r**2 - 2*r - 456. Calculate t(w(b)).", "a": "1056*b - 32" }, { "q": "Let i be (-4 - (-10 + 0)) + 3. Let g(z) = -6*z + i*z - z. Let b(k) = -k - k + 3*k + 0*k. What is g(b(w))?", "a": "2*w" }, { "q": "Let h(z) = 2*z. Let q(a) = -a**2 - 6*a - 103. Let d(k) = k**2 + 2*k + 2. Let w(f) = -3*d(f) - q(f). What is h(w(r))?", "a": "-4*r**2 + 194" }, { "q": "Let n(q) = -203*q. Let f(l) = -4*l**2 - 15*l + 9. Let j(p) = -p**2 - 5*p + 3. Let t(x) = -2*f(x) + 6*j(x). Determine n(t(w)).", "a": "-406*w**2" }, { "q": "Let b(h) = -2*h**2. Let v(x) = -x**2 + 9*x - 10. Let s be v(7). Suppose 0 = -s*f - 3*y + 19 + 9, -4*y = 0. Let l(k) = 3*k + f*k + 2*k. What is b(l(p))?", "a": "-288*p**2" }, { "q": "Let a(k) = 4*k. Let p(y) = 20*y**3 + 4*y - 7. Let b be p(2). Let v = -216 - -377. Let u(t) = -v + t + b - 5*t. Calculate u(a(r)).", "a": "-16*r" }, { "q": "Let o(g) = 8*g. Let t(w) = -w**2 - 1. Let d(m) = 107 - m**2 - 6*m**2 - 111. Let i be (8 - 11)*(-8)/(-6). Let u(c) = i*t(c) + d(c). Calculate u(o(k)).", "a": "-192*k**2" }, { "q": "Let b(i) = -45*i - 3. Let n(l) = 499*l - 285*l - 215*l. Give n(b(g)).", "a": "45*g + 3" }, { "q": "Let f(o) = -3*o. Let b(l) = 13*l - 34. Let p(w) = 7*w + 3. Let d(s) = -b(s) + 2*p(s). What is f(d(c))?", "a": "-3*c - 120" }, { "q": "Let y(q) be the second derivative of 0*q**2 + 0 + 0*q**3 + 1/4*q**4 + 61*q. Let v(s) = -14*s. Give v(y(f)).", "a": "-42*f**2" }, { "q": "Let u(q) = -60*q + 2. Let i(r) = 68*r**2 + 850. Let h(x) = -x**2 - 10. Let g(b) = -85*h(b) - i(b). Calculate g(u(p)).", "a": "61200*p**2 - 4080*p + 68" }, { "q": "Let x(o) = -90*o. Let l(b) be the second derivative of 3*b**3/2 - 407*b. What is l(x(q))?", "a": "-810*q" }, { "q": "Let q(j) be the second derivative of 0*j**3 - 7/6*j**4 + 0*j**2 + 11 - 3*j. Let o(y) = -4*y. Determine q(o(h)).", "a": "-224*h**2" }, { "q": "Suppose 0 = -4*l + 4, -o - 4*o + 1339 = -l. Let k(x) = -267*x - o*x + 536*x. Let i(b) = 16*b**2. Determine i(k(w)).", "a": "16*w**2" }, { "q": "Let w(m) = 2105569*m**2. Let c(s) = 2*s**2. What is w(c(n))?", "a": "8422276*n**4" }, { "q": "Let f(c) = 3*c**2 + 13. Let k(a) = -333*a - 116. Give f(k(s)).", "a": "332667*s**2 + 231768*s + 40381" }, { "q": "Let d(m) = 2252*m**2 - 3*m + 2. Let q(p) = 101*p**2. Give d(q(j)).", "a": "22972652*j**4 - 303*j**2 + 2" }, { "q": "Suppose -4*m = 3 - 11. Suppose 2*q - 3*a - 4 = 0, -q + 2 = 5*a - 0. Let n(z) = -5*z**2 - 2*z**q + m*z**2 - z**2. Let t(i) = -i**2. Calculate n(t(j)).", "a": "-6*j**4" }, { "q": "Let a(o) = 2*o**2. Let t = 38 + -35. Let k(m) be the third derivative of 5/6*m**4 + 16*m**2 + 0*m**t + 0 + 0*m. Give k(a(p)).", "a": "40*p**2" }, { "q": "Let m(a) be the third derivative of 71*a**4/6 - 507*a**2. Let z(l) = l. Determine m(z(r)).", "a": "284*r" }, { "q": "Let n(o) = 15*o**2 + o - 2. Let k be n(1). Let s be 6/(-21) - ((-4)/k - 2). Let d(g) = -21*g - 11*g**2 + 21*g - 12*g**s. Let p(l) = 2*l**2. Determine d(p(f)).", "a": "-92*f**4" }, { "q": "Let s(a) = 5*a. Let z(i) = -6*i. Let h(r) be the second derivative of -7*r**3/6 + 2*r - 52. Let d(l) = -3*h(l) + 4*z(l). Give s(d(p)).", "a": "-15*p" }, { "q": "Let z(f) be the first derivative of -7*f**2/2 - 643. Let c(d) = -278*d. Determine c(z(m)).", "a": "1946*m" }, { "q": "Let h(j) = -3*j**2 - 8*j. Let k = 8 + 0. Let o(f) = 2*f - f - 6*f - 8*f**2 + 6*f**2 + 0*f. Let z(t) = k*o(t) - 5*h(t). Let s(r) = 5*r. Give z(s(p)).", "a": "-25*p**2" }, { "q": "Let d(g) = -61*g. Let k(s) = -2641*s + 6. Determine k(d(n)).", "a": "161101*n + 6" }, { "q": "Let q(t) = -1434*t. Let d(k) = 56*k**2. Let o(j) = -5*j**2. Let r(c) = 2*d(c) + 22*o(c). What is r(q(p))?", "a": "4112712*p**2" }, { "q": "Let k(p) = 8*p**2 - 4. Let c(u) = 2397 + 8*u**2 - 2397. Determine k(c(w)).", "a": "512*w**4 - 4" }, { "q": "Let c(b) = -4*b**2. Let o(s) be the third derivative of s**5/20 - 7*s**4/6 - 359*s**2. Give o(c(h)).", "a": "48*h**4 + 112*h**2" }, { "q": "Let i(o) = -35*o - 6. Let w(m) = -m + 1053. Give w(i(s)).", "a": "35*s + 1059" }, { "q": "Let g(y) = -7*y**2 + 13*y - 13. Let i(j) = -2*j**2 + 3*j - 3. Let q(d) = -6*g(d) + 26*i(d). Let p(m) = -1504 - m**2 - 1525 - 2*m**2 + 3029. Determine p(q(b)).", "a": "-300*b**4" }, { "q": "Let l(j) = 7*j**2 - 20. Let f(k) = 18*k**2 - 54. Let z(c) = -10*f(c) + 27*l(c). Let v(s) = 3*s - 13. What is v(z(m))?", "a": "27*m**2 - 13" }, { "q": "Let u(l) = -7*l. Let r = -207 - -214. Let n(f) = 2*f - 4*f - r*f. Calculate u(n(y)).", "a": "63*y" }, { "q": "Let s(p) = p**2. Let v(l) = -4140435*l + 119904. Let g(o) = 1243*o - 36. Let m(j) = 9992*g(j) + 3*v(j). What is s(m(u))?", "a": "1560001*u**2" }, { "q": "Let m(x) = 1097017*x. Let r(s) = -7*s**2. What is r(m(v))?", "a": "-8424124088023*v**2" }, { "q": "Let k(c) = 268*c - 122*c + 671*c. Let v(m) = 3*m. Give k(v(u)).", "a": "2451*u" }, { "q": "Let c(x) = 9*x**2. Let y(z) be the second derivative of 0*z**2 - 1/6*z**4 - 43*z + 0*z**3 + 0. What is c(y(p))?", "a": "36*p**4" }, { "q": "Let t(f) = f. Let d(v) be the first derivative of -2*v**3/3 - 8*v**2 - 42. What is d(t(y))?", "a": "-2*y**2 - 16*y" }, { "q": "Let l(b) = -1252*b + 4. Let y(z) = 641*z - 2. Let m(s) = 3*l(s) + 5*y(s). Let j(r) = -r**2. Calculate m(j(q)).", "a": "551*q**2 + 2" }, { "q": "Let o(v) = -2*v. Let k(l) be the first derivative of -2035*l**2/2 - 360. What is o(k(x))?", "a": "4070*x" }, { "q": "Let p(g) = 2*g**2. Let r = -126 - -128. Let x(f) = -70*f**2 - 69*f**r + 142*f**2. Give x(p(s)).", "a": "12*s**4" }, { "q": "Let g(v) = 4*v + 15. Let p(b) = -40*b - 144. Let j(z) = -48*g(z) - 5*p(z). Let i(y) = -39*y. Calculate i(j(r)).", "a": "-312*r" }, { "q": "Let c(g) = -9*g**2 + 5. Let y(i) = 18*i**2 - 20*i. Determine y(c(r)).", "a": "1458*r**4 - 1440*r**2 + 350" }, { "q": "Let q(y) = 6*y**2 + 250*y + 9. Let i(f) = -19*f. Determine i(q(g)).", "a": "-114*g**2 - 4750*g - 171" }, { "q": "Let l = 115 + -80. Let n(r) = l + 32 - 2*r**2 - 67. Let t(j) = 1 - 1 - 5*j. Give t(n(v)).", "a": "10*v**2" }, { "q": "Let c(w) = 2*w. Let s(m) = 3*m**2 + 16*m + 131. Determine c(s(t)).", "a": "6*t**2 + 32*t + 262" }, { "q": "Let v(b) = 7*b. Let p(h) = 15*h**2 - 7 + 49*h + 36*h - 71*h. Let m(i) = -10*i**2 - 10*i + 5. Let k(x) = -7*m(x) - 5*p(x). Give k(v(t)).", "a": "-245*t**2" }, { "q": "Let z(x) = 13*x - 2. Let d(y) = 3*y + 297. What is z(d(p))?", "a": "39*p + 3859" }, { "q": "Let d(h) = -60*h. Let s(a) = 27*a - 4. Let z(f) = -34*f + 5. Let l(j) = 5*s(j) + 4*z(j). Determine d(l(g)).", "a": "60*g" }, { "q": "Let u(h) be the first derivative of -2*h**3/3 + 1. Let g(y) = -4*y**2 + 89918*y - 89930*y + 3*y**2. Calculate u(g(r)).", "a": "-2*r**4 - 48*r**3 - 288*r**2" }, { "q": "Let c(q) be the first derivative of 0*q**3 - 1/12*q**4 - 5 + 15*q + 0*q**2. Let o(h) be the first derivative of c(h). Let s(a) = -7*a. Calculate s(o(m)).", "a": "7*m**2" }, { "q": "Let o = 400 + 11. Let l(w) = -823 + 2*w**2 + 412 + o. Let v(q) be the first derivative of -5*q**3 - 1. What is v(l(g))?", "a": "-60*g**4" }, { "q": "Let y(l) = 2*l**2. Let b(v) = -6719802*v**2. Give y(b(a)).", "a": "90311477838408*a**4" }, { "q": "Let j(z) = -37*z**2 - 97*z**2 - 16*z**2 - 21*z**2. Let b(g) be the third derivative of -g**4/24 - g**2. What is j(b(a))?", "a": "-171*a**2" }, { "q": "Let b(c) = 15*c**2 - 19*c + 1. Let f(x) = -1025*x. Give b(f(o)).", "a": "15759375*o**2 + 19475*o + 1" }, { "q": "Let u(r) be the second derivative of r**4/4 - 14*r - 191. Let s(f) = 2 - 2*f - 2. Give u(s(g)).", "a": "12*g**2" }, { "q": "Let l(g) = 2*g. Let s(o) = 7*o + 19*o - 39 - 27*o. What is s(l(y))?", "a": "-2*y - 39" }, { "q": "Let i(y) = -317*y**2. Let z(w) = -2*w**2 - 6*w + 15. Let d(k) = -7*k**2 - 22*k + 55. Let h(o) = 6*d(o) - 22*z(o). Give i(h(j)).", "a": "-1268*j**4" }, { "q": "Let m(s) be the first derivative of -s**2/2 - 1397. Let a(p) = 69*p. Give m(a(o)).", "a": "-69*o" }, { "q": "Let w(m) = 7*m + 2. Let u(n) = -2*n**2 + 14*n - 2262. What is w(u(o))?", "a": "-14*o**2 + 98*o - 15832" }, { "q": "Let s(v) = -5 + 1297*v + 1292*v + 5 - 2588*v. Let o(p) = 133*p**2 - p. Determine o(s(z)).", "a": "133*z**2 - z" }, { "q": "Let w = -251 - -230. Let s(k) = -21*k. Let x(a) = -a**2 - a. Let d(f) = w*x(f) + s(f). Let u(v) = 4*v. Determine d(u(y)).", "a": "336*y**2" }, { "q": "Let y(i) = -2*i**2. Let t(s) be the second derivative of -5*s**4/6 - 14*s**3/3 + s + 2. Determine t(y(j)).", "a": "-40*j**4 + 56*j**2" }, { "q": "Let g(y) = 3*y**2. Let n(w) = 555027*w**2 - 5*w - 2. Determine n(g(j)).", "a": "4995243*j**4 - 15*j**2 - 2" }, { "q": "Let f(k) be the second derivative of k**3/3 - 9*k + 1. Let v(l) be the first derivative of -2*l**3 - 23. Determine v(f(h)).", "a": "-24*h**2" }, { "q": "Let k(v) = 48*v**2. Let o(c) = 28941*c**2. Calculate k(o(r)).", "a": "40203911088*r**4" }, { "q": "Let h(x) = -524*x - 100*x**2 + 524*x. Let a(d) = 117 - 58 - d**2 - 59 - d**2. Calculate a(h(n)).", "a": "-20000*n**4" }, { "q": "Let b(s) = -16*s. Let n(r) = -110*r - 1115. Calculate b(n(l)).", "a": "1760*l + 17840" }, { "q": "Let x(k) = -6*k + 27*k + 32*k. Let m(z) = 2*z - 215011 + 215011. Calculate x(m(l)).", "a": "106*l" }, { "q": "Let w(v) = -v**2. Suppose 4*l - 5*l = -2. Let f be 1*l/2*48/4. Let i(o) = -4*o**2 + f*o - 12*o. Give i(w(g)).", "a": "-4*g**4" }, { "q": "Let v(t) = 2*t**2. Suppose 339*o + 132 = 383*o. Let d(l) be the third derivative of 0*l**o + 0*l**4 + l**2 + 0*l + 0 - 3/20*l**5. What is v(d(r))?", "a": "162*r**4" }, { "q": "Let z(g) = 17050*g**2 - 8524*g**2 + 1 - 8521*g**2 - 1. Let l(n) = 53*n**2. Give z(l(f)).", "a": "14045*f**4" }, { "q": "Let s be ((-2)/2)/(17/(-255)). Suppose -s = n - 25. Let f(x) = 10*x - 5*x - 4*x + n*x. Let h(y) = 3*y**2. Determine h(f(a)).", "a": "363*a**2" }, { "q": "Let a(p) = -27*p + 27*p + 13*p**2 - 11*p**2. Suppose l + 29 = 2*l. Let d(z) = 11*z**2 - 29 + l. What is d(a(u))?", "a": "44*u**4" }, { "q": "Let v(g) be the third derivative of -g**7/360 - 17*g**4/8 + 18*g**2. Let i(q) be the second derivative of v(q). Let u(x) = -15*x**2. Calculate u(i(d)).", "a": "-735*d**4" }, { "q": "Let o(l) = 1 - 2 + 1 + 1. Let i(j) = -j - 1. Let c(v) = -5*i(v) - 5*o(v). Let r(k) = 2*k. What is r(c(u))?", "a": "10*u" }, { "q": "Let g(c) = 72*c. Let q(n) = 61*n + 17*n - 73*n. What is g(q(s))?", "a": "360*s" }, { "q": "Let a(m) be the third derivative of -242*m**5/15 - 629*m**2. Let u(b) = b**2. What is u(a(d))?", "a": "937024*d**4" }, { "q": "Let y(c) = 610*c - 312*c - 4 - 297*c + 4. Let i(p) = 43 + 141*p**2 - 43. Calculate y(i(a)).", "a": "141*a**2" }, { "q": "Suppose 4*c = -18*t + 19*t + 9, 5*c + 2*t = 8. Let g(w) = -16*w**c + 7*w**2 + 7*w**2. Let i(l) = 3*l + 0*l - l. Determine i(g(v)).", "a": "-4*v**2" }, { "q": "Let w(z) = -2*z**2. Let l = -186 - -180. Let m(v) = 10*v**2 - 5*v - 5. Let b(c) = -10*c**2 + 6*c + 6. Let s(r) = l*m(r) - 5*b(r). Give w(s(k)).", "a": "-200*k**4" }, { "q": "Let u(y) = -31*y**2. Suppose 2*a = 4*n - n + 109, 2*n - 4*a = -62. Let h = -39 - n. Let q(p) = h*p - p + 0*p. Give u(q(c)).", "a": "-31*c**2" }, { "q": "Let s(a) = -2621*a. Let n(c) = -c**2 + 3045. Determine s(n(i)).", "a": "2621*i**2 - 7980945" }, { "q": "Let y(p) be the second derivative of -p**4/12 + 579*p. Let g(q) = q + 971. Determine g(y(a)).", "a": "-a**2 + 971" }, { "q": "Let d(b) = 4*b. Let q = -397 - -400. Let r(o) be the third derivative of 0*o**4 + 0*o**q + 0 + 15*o**2 - 1/60*o**5 + 0*o. What is r(d(z))?", "a": "-16*z**2" }, { "q": "Let d(y) = -124*y**2. Let z(l) = -111226*l. Calculate z(d(m)).", "a": "13792024*m**2" }, { "q": "Let y(r) = 873*r + 4. Let c(t) = -1718*t - 7. Let u(s) = -4*c(s) - 7*y(s). Let w(o) = -4*o**2. Calculate u(w(x)).", "a": "-3044*x**2" }, { "q": "Let k(s) = -62*s. Let i(r) = -1618*r**2 + 1. What is i(k(b))?", "a": "-6219592*b**2 + 1" }, { "q": "Let t(v) = 8*v**2. Let j(p) = 15*p + 416. Let i be j(0). Let l(o) = 826*o**2 - 409*o**2 - i*o**2. Determine t(l(w)).", "a": "8*w**4" }, { "q": "Let s(z) = -5*z + 5. Let k(n) be the second derivative of n**3/3 - 2*n - 69. Calculate s(k(o)).", "a": "-10*o + 5" }, { "q": "Let f(w) = -15*w - 7. Let n(p) = 158*p**2 + 162*p**2 - 477*p**2 + 154*p**2. What is n(f(o))?", "a": "-675*o**2 - 630*o - 147" }, { "q": "Let v(k) be the second derivative of 0*k**2 + 0 + 1/2*k**3 + 37*k. Let b(t) = -53*t. Calculate b(v(p)).", "a": "-159*p" }, { "q": "Let x(k) = -23*k + 11. Let o(p) = -2*p + 1. Let c = -119 + 141. Let n(v) = c*o(v) - 2*x(v). Let y(m) = -6 + 6 - 20*m. Determine y(n(w)).", "a": "-40*w" }, { "q": "Let q(u) be the second derivative of 31*u**4/6 + 4*u - 1. Let n(w) = -32*w**2. Determine q(n(i)).", "a": "63488*i**4" }, { "q": "Let b(p) = 2*p. Let s(i) = -315*i**2. Let v(l) = 5*l**2. Let q(j) = s(j) + 210*v(j). What is q(b(y))?", "a": "2940*y**2" }, { "q": "Let l(i) = -5*i. Let g(b) = 240*b**2 + 22*b - 22. Let q(k) = 33*k**2 + 3*k - 3. Let c(z) = 3*g(z) - 22*q(z). Determine c(l(h)).", "a": "-150*h**2" }, { "q": "Let a(q) be the third derivative of 83*q**5/4 + 1246*q**2. Let i(x) = 3*x. Give i(a(w)).", "a": "3735*w**2" }, { "q": "Let h(n) be the first derivative of n**2/2 - 828. Let l(p) = 53*p**2. Determine l(h(y)).", "a": "53*y**2" }, { "q": "Let b(w) be the third derivative of w**5/60 - w**2 + 7097*w. Let k(q) = -q + 7*q + 8*q. Calculate k(b(h)).", "a": "14*h**2" }, { "q": "Let x(v) = 2*v**2. Let n(r) = -7639273*r. Calculate n(x(u)).", "a": "-15278546*u**2" }, { "q": "Let k(b) = 5019*b. Let x(u) = -24*u. Determine k(x(v)).", "a": "-120456*v" }, { "q": "Suppose 54 - 19 = 7*q. Let i(v) be the third derivative of 0*v + 0*v**4 - 18*v**2 + 0*v**3 - 11/30*v**q + 0. Let x(y) = y**2. Determine x(i(r)).", "a": "484*r**4" }, { "q": "Let u(m) = 2*m - 1. Let p(i) = -13*i + 68. Let j(t) = -p(t) - 6*u(t). Let a(h) = h. Determine a(j(l)).", "a": "l - 62" }, { "q": "Let w(v) = -5209699*v. Let d(c) = 3*c**2. Give d(w(i)).", "a": "81422891011803*i**2" }, { "q": "Let x(d) be the third derivative of 12*d**5/5 + d**4/24 - 829*d**2. Let q(n) = 3*n**2. What is x(q(a))?", "a": "1296*a**4 + 3*a**2" }, { "q": "Let c(q) be the first derivative of -35*q**3/3 - 69. Let b(g) be the second derivative of g**3/3 - g + 32. What is b(c(y))?", "a": "-70*y**2" }, { "q": "Let f = -9 + 21. Let i(h) = -7*h - 15*h - f*h. Let k(j) = 12*j + 22. Let u(x) = -x - 2. Let w(l) = 2*k(l) + 22*u(l). Calculate w(i(o)).", "a": "-68*o" }, { "q": "Let n(s) = -3*s**2 + 7*s**2 - 2*s**2 + 18*s. Let x(j) be the second derivative of -j**3/3 + 33*j - 1. What is x(n(u))?", "a": "-4*u**2 - 36*u" }, { "q": "Let n(t) = -3963*t. Let v(p) = 6*p**2 - 60*p - 8. Let g(s) = 7*s**2 - 75*s - 10. Let w(m) = -4*g(m) + 5*v(m). Give w(n(h)).", "a": "31410738*h**2" }, { "q": "Let s(r) = -203*r + 16. Let b(x) = -98*x + 7. Let d(z) = 14*b(z) - 6*s(z). Let h(t) = 3*t**2. Determine d(h(q)).", "a": "-462*q**2 + 2" }, { "q": "Let l(h) be the second derivative of -h**5/15 + 5*h**3/6 + 12*h - 1. Let i(b) be the second derivative of l(b). Let w(r) = 10*r**2. Give i(w(t)).", "a": "-80*t**2" }, { "q": "Let w(a) be the second derivative of -7*a**3/3 - 3*a. Let i(y) = -y. Let f = 15 + -14. Let l(m) = -2*m. Let c(s) = f*l(s) - 4*i(s). What is w(c(n))?", "a": "-28*n" }, { "q": "Let w(i) = -40*i**2 - i. Let l(m) = 2. Let n(r) = 5*r**2 - 50. Let z(g) = -25*l(g) - n(g). Determine z(w(f)).", "a": "-8000*f**4 - 400*f**3 - 5*f**2" }, { "q": "Let j(c) be the second derivative of -13*c**4/6 + 35*c**2/2 - 10*c + 19. Let p(u) = -2*u**2. Calculate j(p(h)).", "a": "-104*h**4 + 35" }, { "q": "Let i(u) = 15*u - 286. Let p(r) = -3*r + 52. Let q(b) = 4*i(b) + 22*p(b). Let s(f) = 78*f**2. Determine s(q(j)).", "a": "2808*j**2" }, { "q": "Let f(r) = -r - 60376. Let c(b) = -7*b. Calculate c(f(n)).", "a": "7*n + 422632" }, { "q": "Let z(h) be the second derivative of 0 + 0*h**2 + 0*h**3 - 1/4*h**4 + 22*h. Let y(d) = 22*d**2. Calculate z(y(o)).", "a": "-1452*o**4" }, { "q": "Let p(l) = 2*l - 6. Let r(a) be the second derivative of -a**3/3 + 9*a**2/2 + 31*a. Let y(k) = -3*p(k) - 2*r(k). Let b(z) = -26*z - 1. Calculate y(b(t)).", "a": "52*t + 2" }, { "q": "Let m(d) be the first derivative of -16*d**3/3 + 1631. Let n(y) = 52*y. Give m(n(o)).", "a": "-43264*o**2" }, { "q": "Let y(g) = -1. Let q(z) = -2*z - 1. Let p(f) = q(f) - y(f). Let c(u) = -1240*u**2. Determine p(c(v)).", "a": "2480*v**2" }, { "q": "Let k(s) be the third derivative of -s**8/840 + 4*s**5/15 + s**2 + 18. Let v(c) be the third derivative of k(c). Let o(q) = -q. Determine o(v(j)).", "a": "24*j**2" }, { "q": "Let m(r) = -13*r. Let c(n) = 3*n + 61 - 39*n - 71 + 11. Calculate c(m(o)).", "a": "468*o + 1" }, { "q": "Let h(y) = 2*y - 5. Let n(d) = -3*d + 11*d + 10*d - 9*d + 20*d. Give h(n(l)).", "a": "58*l - 5" }, { "q": "Let f(x) = -7117224*x. Let y(o) = -2*o**2. Calculate f(y(a)).", "a": "14234448*a**2" }, { "q": "Let u(r) = 31*r**2. Let d(k) be the third derivative of -k**6/720 + k**4/3 - 2*k**3/3 + 77*k**2. Let n(f) be the second derivative of d(f). What is u(n(p))?", "a": "31*p**2" }, { "q": "Let d(s) = -4*s**2. Let u(l) = 212841*l - 1. Calculate u(d(p)).", "a": "-851364*p**2 - 1" }, { "q": "Let g(h) = -7*h - 66. Let v(l) = -2*l**2 - 2075*l. Determine g(v(r)).", "a": "14*r**2 + 14525*r - 66" }, { "q": "Let b(s) be the third derivative of -s**5/12 + s**2. Let d(p) = -196*p - 2095 + 201*p + 2095. Determine d(b(j)).", "a": "-25*j**2" }, { "q": "Let v(t) = 2*t. Let l(w) = 9734201*w - 1. Give l(v(a)).", "a": "19468402*a - 1" }, { "q": "Let d(o) = -5*o. Let n(m) = 686806*m. Determine d(n(b)).", "a": "-3434030*b" }, { "q": "Let y(j) = -j. Let q(b) = 1103*b - 374*b + 793*b + 530*b. What is y(q(n))?", "a": "-2052*n" }, { "q": "Let u(n) be the first derivative of 35*n**3/6 - 3*n**2/2 - 70*n + 72. Let g(p) be the first derivative of u(p). Let k(v) = 2*v**2. What is k(g(l))?", "a": "2450*l**2 - 420*l + 18" }, { "q": "Let b(z) = 956*z. Let u(p) = 3*p**2 - 3*p - 39. Determine u(b(s)).", "a": "2741808*s**2 - 2868*s - 39" }, { "q": "Let r(i) be the third derivative of 13*i**5/30 - 62*i**2 + i. Let u(x) = 64*x**2. Calculate r(u(k)).", "a": "106496*k**4" }, { "q": "Let c(d) = 6044*d**2 + d. Let n(o) = 89*o - 3. What is n(c(r))?", "a": "537916*r**2 + 89*r - 3" }, { "q": "Let z(m) = 1907*m. Let v(r) = 51*r. What is z(v(u))?", "a": "97257*u" }, { "q": "Let s(b) = -499*b**2. Let c(g) = 5600*g - 2795*g - 2804*g. Calculate c(s(x)).", "a": "-499*x**2" }, { "q": "Let v(a) = 5*a. Let p(z) be the second derivative of -3*z - 8 + 17*z**3 + 12*z**3 - 27*z**3. Determine v(p(i)).", "a": "60*i" }, { "q": "Let m = -158 + 160. Let f(n) = 16*n**2 - 32*n**m + 13*n**2. Let g(r) = 37*r + 2. Calculate g(f(i)).", "a": "-111*i**2 + 2" }, { "q": "Let m(b) = -1520*b. Let t(g) = 124*g**2 - 4*g - 5. Determine m(t(w)).", "a": "-188480*w**2 + 6080*w + 7600" }, { "q": "Let p(y) = 2*y + 1. Let q(x) = -13*x - 6. Let b(z) = -6*p(z) - q(z). Let u(a) = 15*a + 10. Give u(b(s)).", "a": "15*s + 10" }, { "q": "Let w(k) = -2948*k - 704. Let o(l) = -50*l - 12. Let s(m) = -176*o(m) + 3*w(m). Let t(j) = -4*j - j + 3*j. Give s(t(r)).", "a": "88*r" }, { "q": "Let n(a) = -3*a. Let p(c) = -38*c - 35*c + 70*c - 82*c - 93*c. Calculate p(n(k)).", "a": "534*k" }, { "q": "Let d(f) = -56*f. Let s(c) = -6*c**2 + 3111435*c - 3111435*c. Calculate d(s(o)).", "a": "336*o**2" }, { "q": "Let z(q) = 431857*q**2 - 431852*q**2 + 3 - 3. Let t(a) = -112*a**2. Calculate z(t(x)).", "a": "62720*x**4" }, { "q": "Let x be 152/26 + 2/13. Suppose -3*b + 0 + x = 0. Let g(z) = -2*z**b - 7*z**2 + 2*z**2 - 3*z**2. Let r(o) = -o. Determine g(r(c)).", "a": "-10*c**2" }, { "q": "Let k(o) = 41*o. Let r(g) be the second derivative of 13*g**3/6 + 2*g + 1067. What is r(k(c))?", "a": "533*c" }, { "q": "Let u(q) = -3*q. Let p(r) = 4*r. Let m(j) = 5*p(j) + 6*u(j). Let y be (-3)/(-2) + 52/8. Let h(d) = 10*d**2 - 13*d**2 + y*d**2. Calculate m(h(k)).", "a": "10*k**2" }, { "q": "Let y(a) be the second derivative of 17*a**3/6 + a**2 - 4*a - 98. Let t(o) = -11*o. Determine t(y(z)).", "a": "-187*z - 22" }, { "q": "Let g be ((-6)/8)/(2 - 171/72). Let f(c) = 2*c + 6*c**g - 3*c + c. Let t(m) = -m**2. Calculate f(t(n)).", "a": "6*n**4" }, { "q": "Let v(b) be the second derivative of b**4/6 + 13*b + 3. Let d(q) = 1. Let n(f) = -11*f - 33. Suppose p + 6 = 39. Let x(k) = p*d(k) + n(k). Give x(v(m)).", "a": "-22*m**2" }, { "q": "Let s(j) = 2*j**2. Let w(i) = -14*i + 362256. Determine w(s(l)).", "a": "-28*l**2 + 362256" }, { "q": "Let f(b) = -b**2. Suppose 3*r + 0*c + 21 = -3*c, -4*r - c = 40. Let k = r - -29. Let q(z) = -3*z + 9*z - 4*z + k*z. Give f(q(o)).", "a": "-400*o**2" }, { "q": "Suppose o - 15 = -4*o. Let z(h) = 10*h - 2*h + 11 + o*h + 9*h. Let q(n) = 4*n + 2. Let f(r) = -11*q(r) + 2*z(r). Let c(y) = y**2. Give c(f(g)).", "a": "16*g**2" }, { "q": "Let n(l) = 143*l**2. Let w be (-6 - -1)*((-114)/(-15) + -8). Let u(v) = -9*v**2. Let g(o) = 2*o**2. Let h(s) = w*u(s) + 10*g(s). Calculate n(h(z)).", "a": "572*z**4" }, { "q": "Let d(a) = -4*a**2. Let i(n) = -120*n + 6. Let y(z) = -10*z + 1. Let k(q) = -i(q) + 8*y(q). What is d(k(u))?", "a": "-6400*u**2 - 640*u - 16" }, { "q": "Let a(d) = 3*d**2 + 3037*d + 1. Let o(c) = -13*c + 2. What is o(a(f))?", "a": "-39*f**2 - 39481*f - 11" }, { "q": "Let l(m) = 4*m**2 + 4*m + 2. Let s(x) = -21*x**2 - 2 + 3800*x - 9 - 3822*x. Let z(q) = -11*l(q) - 2*s(q). Let w(n) = n**2 - 34*n. Calculate z(w(g)).", "a": "-2*g**4 + 136*g**3 - 2312*g**2" }, { "q": "Let v(d) = 12*d**2 + 2*d. Let s(g) = -13*g - 32. Let y(f) = 26*f + 56. Let c(a) = 7*s(a) + 4*y(a). Determine v(c(i)).", "a": "2028*i**2 + 26*i" }, { "q": "Let v(t) be the second derivative of 137*t**4/12 + 710*t. Let y(p) = -2*p. Determine y(v(r)).", "a": "-274*r**2" }, { "q": "Let o(r) = -253*r**2. Let y(k) be the first derivative of -k**3/3 - 1492. Determine y(o(s)).", "a": "-64009*s**4" }, { "q": "Let y(x) = -7*x. Let u(j) be the second derivative of 2*j**5/15 - 12*j**2 - 4*j + 3. Let p(c) be the first derivative of u(c). Give y(p(n)).", "a": "-56*n**2" }, { "q": "Let o = -224 + 229. Let g(s) = -8*s + 0*s + s + o*s. Let c(h) = 177*h. Give c(g(z)).", "a": "-354*z" }, { "q": "Let i(q) = -q**2. Let v(p) be the first derivative of -14 + 0*p**2 + 13*p + 15/2*p**3. Let s(o) be the first derivative of v(o). What is s(i(z))?", "a": "-45*z**2" }, { "q": "Let r(v) = -8*v**2. Let h(c) = -2 + 7 + c - 4*c**2 - 6*c. Let z = -145 - -144. Let y(m) = m**2 + m - 1. Let a(o) = z*h(o) - 5*y(o). Determine r(a(x)).", "a": "-8*x**4" }, { "q": "Let h be 10 - 15/(-10)*-2. Let o(w) = -5*w + 6*w - h*w. Let f(b) = -18*b. Calculate o(f(a)).", "a": "108*a" }, { "q": "Let j(s) = -60*s. Let g(m) = 268*m - 109. Calculate j(g(t)).", "a": "-16080*t + 6540" }, { "q": "Let c(x) = -43*x**2. Let g(b) = 183*b + 9. Let z(u) = -20*u - 1. Let y(t) = 5*g(t) + 45*z(t). What is y(c(m))?", "a": "-645*m**2" }, { "q": "Suppose 5*p + x - 21 = 3*p, x - 45 = -5*p. Let n(f) = -p*f + f + 9*f. Let u(r) be the first derivative of 9*r**2/2 + 3. Determine n(u(y)).", "a": "18*y" }, { "q": "Suppose -5 = -0*q - 2*q - v, v + 3 = 2*q. Let b(m) = -m**2 + m**2 - q*m**2. Let d(k) = 2774*k**2 - 1375*k**2 - 1391*k**2. Calculate d(b(w)).", "a": "32*w**4" }, { "q": "Let r(d) = 1493*d + 115. Let s(f) = -1565410*f - 120589. Let g(c) = 5243*r(c) + 5*s(c). Let o(j) = -3*j. Determine g(o(l)).", "a": "-2247*l" }, { "q": "Let s = -172 - -179. Let j(o) = -s*o + 6*o - 4*o. Let x(k) = 8*k**2. Calculate x(j(w)).", "a": "200*w**2" }, { "q": "Let c(s) = -791*s**2 - 830*s**2 + 1676*s**2. Let t(w) = 2*w**2. Calculate c(t(p)).", "a": "220*p**4" }, { "q": "Let w(m) = 0*m + 3*m - 2*m - 2*m. Let z(s) = 4*s + 5. Let o(v) = 24*v**2 - 24*v - 30. Let k(b) = o(b) + 6*z(b). Give w(k(t)).", "a": "-24*t**2" }, { "q": "Suppose -13*p = 3*p - 112. Let i(h) = -p + 26 + 9*h - 19. Let d(l) = -l**2. Determine d(i(s)).", "a": "-81*s**2" }, { "q": "Let g(h) = -84*h**2. Let c(w) be the third derivative of -w**5/5 + 16*w**2 - 5. What is c(g(i))?", "a": "-84672*i**4" }, { "q": "Let i(u) = -9*u**2 - 5. Let j(v) = -4*v**2 - 2. Let f(r) = -2*i(r) + 5*j(r). Let h(d) = 168*d. Determine h(f(c)).", "a": "-336*c**2" }, { "q": "Let l(f) = -5*f**2. Let q(t) = -1915 + 661 - 2*t + 673 + 637. What is l(q(w))?", "a": "-20*w**2 + 1120*w - 15680" }, { "q": "Let o(g) = 1156*g - 224. Let i(w) = 9*w**2. What is o(i(y))?", "a": "10404*y**2 - 224" }, { "q": "Let l(b) = -361*b**2. Let q(i) = -5*i**2. Let m(n) = 3*n**2. Let d(f) = 9*m(f) + 5*q(f). Calculate l(d(r)).", "a": "-1444*r**4" }, { "q": "Let x(r) = -r. Suppose -2*l + 51638 = -2*g, -4*l + 5*g = 21780 - 125056. Let t(a) = 9*a - l + 25819. Give t(x(b)).", "a": "-9*b" }, { "q": "Let s(g) = 2 - 2 + 0 + 4*g. Let k(z) = 2*z + 6*z - 11*z - 4*z - 2*z. Determine s(k(a)).", "a": "-36*a" }, { "q": "Let p(j) = -141505 - 3*j + 141505. Let u(a) = -71*a**2 - 3. Determine p(u(f)).", "a": "213*f**2 + 9" }, { "q": "Let x(v) = -2621*v**2 + 2*v + 5. Let q(u) = 5*u**2. Calculate x(q(g)).", "a": "-65525*g**4 + 10*g**2 + 5" }, { "q": "Let h(v) be the second derivative of 0 - 1/4*v**4 - 2/3*v**3 + 0*v**2 + 16*v. Let z(g) = -g. Let k(o) = -h(o) + 4*z(o). Let s(l) = l. What is k(s(w))?", "a": "3*w**2" }, { "q": "Let n(d) = -5 + d + 5 - 5*d. Let p(u) = -13*u**2 + 11. Let r(y) = -7*y - y**2 - 3*y + 10*y + 1. Let w(x) = 2*p(x) - 22*r(x). Give w(n(j)).", "a": "-64*j**2" }, { "q": "Let k(m) = -2*m. Let c(g) = -2093*g**2 + 4. Let h(t) = 526*t**2 - 1. Let q(s) = -6*c(s) - 22*h(s). What is k(q(p))?", "a": "-1972*p**2 + 4" }, { "q": "Suppose 0 = 5*z - 6*z. Let b(u) = 0*u - 5605*u**2 + 5603*u**2 + z*u. Let a(s) = -s**2 - 5*s. Give b(a(w)).", "a": "-2*w**4 - 20*w**3 - 50*w**2" }, { "q": "Let n = 549 + -293. Let i(l) be the first derivative of l**3 - 18 + n*l**2 - 256*l**2. Let t(d) = -2*d. Calculate i(t(u)).", "a": "12*u**2" }, { "q": "Let n(s) = -9*s. Let c(g) = -3*g. Suppose -9 = -30*q + 27*q. Let z(w) = -2*w. Let b(j) = q*c(j) - 4*z(j). Calculate n(b(t)).", "a": "9*t" }, { "q": "Let d(l) be the third derivative of l**5/60 - 103*l**2 - l. Let a(c) be the third derivative of -c**4/12 + 43*c**3/3 - 10*c**2. Give d(a(h)).", "a": "4*h**2 - 344*h + 7396" }, { "q": "Let o(k) = 5*k. Let x(s) = 13*s**2 - 5260*s. Determine o(x(q)).", "a": "65*q**2 - 26300*q" }, { "q": "Let z(y) = -2*y**2. Let v(l) be the first derivative of l**2 - 8*l + 9. Let r be v(4). Let w(q) = -q + 3*q + r*q. What is w(z(b))?", "a": "-4*b**2" }, { "q": "Let v(b) = -72 + 72 + 7*b**2. Let p(j) be the third derivative of -j**7/840 - 13*j**4/12 + 5*j**2. Let x(q) be the second derivative of p(q). Determine x(v(z)).", "a": "-147*z**4" }, { "q": "Let z(c) = -6*c**2. Let n(g) = 9*g. Let h(p) = 8*p**2 - 2*p + 7. Let q be h(-3). Let f(t) = t + 85 - q. Let r(i) = -21*f(i) + 3*n(i). What is z(r(u))?", "a": "-216*u**2" }, { "q": "Let j(p) = -23*p + 14*p + 12*p. Let h(q) be the second derivative of -2*q**4/3 - 126*q. Give j(h(z)).", "a": "-24*z**2" }, { "q": "Let s(b) = -8*b. Let r(v) be the second derivative of v**6/120 - v**3/3 - 8*v**2 - 45*v. Let x(f) be the second derivative of r(f). Give x(s(n)).", "a": "192*n**2" }, { "q": "Let r(n) = n. Let t = -169 - -174. Let f(m) = 1 + 7 - 4 - t + 8*m. Determine r(f(w)).", "a": "8*w - 1" }, { "q": "Let x(p) be the third derivative of 5*p**4 + 8*p**2 - 26*p. Let g(s) = 8*s**2. Calculate x(g(z)).", "a": "960*z**2" }, { "q": "Let o(q) = -78*q**2. Let j(a) = a - 2. Let w(y) = -10*y + 27. Let v(f) = -1. Let m(z) = 3*v(z) + w(z). Let d(t) = -12*j(t) - m(t). What is d(o(l))?", "a": "156*l**2" }, { "q": "Let s(w) = w**2 - 5*w. Let j(d) = -7*d - 13 - 6*d + 9*d. Let q(g) = -g - 3. Let h(k) = -6*j(k) + 26*q(k). Calculate h(s(p)).", "a": "-2*p**2 + 10*p" }, { "q": "Let s(w) = 115*w**2. Let v(u) = -5*u**2 - 2*u - 6. Let d(t) = 119*t**2 + 49*t + 147. Let z(f) = -2*d(f) - 49*v(f). Determine s(z(l)).", "a": "5635*l**4" }, { "q": "Let m(q) be the third derivative of q**7/1260 - 5*q**4/6 + 46*q**2 - 2*q. Let o(t) be the second derivative of m(t). Let n(b) = -2*b. Calculate n(o(w)).", "a": "-4*w**2" }, { "q": "Let n(s) = -82*s - 2. Let y(f) = 204*f + 5. Let q(x) = -5*n(x) - 2*y(x). Let j(u) be the third derivative of -2*u**4/3 - 2*u**2. What is j(q(t))?", "a": "-32*t" }, { "q": "Let g(o) = 631*o. Let s(w) = 123 + 136 - 259 + 2*w**2. Determine g(s(n)).", "a": "1262*n**2" }, { "q": "Let h(x) be the third derivative of 7*x**5/60 - x**2 + 474*x. Let k(y) = -47*y**2. What is k(h(q))?", "a": "-2303*q**4" }, { "q": "Let v(y) = -734*y**2. Let t(p) = -41*p**2 + 5*p. Let j(g) = -8*g**2 + g. Let l(q) = -5*j(q) + t(q). Give v(l(w)).", "a": "-734*w**4" }, { "q": "Let y(i) = -32*i + 12*i + i + 15*i. Let j(f) = 188*f. Determine y(j(g)).", "a": "-752*g" }, { "q": "Let u = -134 - -137. Let h(k) = u*k + 7*k - 18*k + 12*k. Let r(i) = 20*i. Let f(g) = -g. Let j(z) = 12*f(z) + r(z). What is j(h(t))?", "a": "32*t" }, { "q": "Let m(w) = -2*w**2 - 269. Let p(k) = 8911*k**2. What is m(p(s))?", "a": "-158811842*s**4 - 269" }, { "q": "Let n(m) = 3*m**2. Let q(l) = -3249284*l**2. Determine n(q(r)).", "a": "31673539537968*r**4" }, { "q": "Let z(r) = -2*r + 6. Let h(p) = -82735*p. What is h(z(k))?", "a": "165470*k - 496410" }, { "q": "Let p(a) = -39*a + 6. Let u(h) = 5*h**2 + 18. Give u(p(y)).", "a": "7605*y**2 - 2340*y + 198" }, { "q": "Let w(r) be the first derivative of -r**3/3 + r + 749. Let b(q) = 7*q. Let h(k) = 13*k. Let v(f) = -11*b(f) + 6*h(f). Give w(v(a)).", "a": "-a**2 + 1" }, { "q": "Let d(l) = -6*l**2. Let s(b) = -b + 3. Let q = 31 - -21. Let p(r) be the first derivative of 4*r**2 - 26*r + 182. Let i(m) = q*s(m) + 6*p(m). Calculate d(i(z)).", "a": "-96*z**2" }, { "q": "Let g(q) = -1321*q + 437*q + 439*q + 444*q. Let n(k) = -1224*k. Give g(n(m)).", "a": "1224*m" }, { "q": "Let g(f) = -3882*f. Let n(k) = -21*k**2. Give n(g(y)).", "a": "-316468404*y**2" }, { "q": "Let x(p) = 4*p. Let d(o) = 3*o. Let f(k) = 8*d(k) - 5*x(k). Let v(z) = 285*z - 45. Let g(m) = 13*m - 2. Let r(t) = -45*g(t) + 2*v(t). Determine f(r(s)).", "a": "-60*s" }, { "q": "Let n(t) = -28*t**2. Let j be 21/(-14) - (-30)/20. Let o(z) be the second derivative of 1/6*z**4 + j*z**3 + 0 + 0*z**2 - 15*z. Determine o(n(m)).", "a": "1568*m**4" }, { "q": "Let n(z) be the third derivative of 0*z**3 + 0 + 1/3*z**4 + 0*z - 77*z**2. Let d(r) be the first derivative of r**2/2 - 2. Give d(n(o)).", "a": "8*o" }, { "q": "Suppose 0 = 4*s + 2 + 6. Let q(u) = 3*u + 2. Let c(d) = 14*d - 3*d - d + 7. Let j(l) = s*c(l) + 7*q(l). Let i(x) = 4*x. What is j(i(g))?", "a": "4*g" }, { "q": "Let l(p) = 99548*p**2. Let o(m) = 10*m**2 + 2. Give o(l(i)).", "a": "99098043040*i**4 + 2" }, { "q": "Let p(b) = -20*b**2 - 5. Suppose -21 = -4*v - 5. Let l(z) = -10*z**2 - 2. Let r(j) = v*p(j) - 10*l(j). Let a(k) = 2915 - 2915 - k. Determine a(r(g)).", "a": "-20*g**2" }, { "q": "Let v(z) be the first derivative of -10 - 13/6*z**4 + 0*z**3 + 0*z**2 - 8*z. Let a(l) be the first derivative of v(l). Let n(q) = -2*q**2. Determine n(a(i)).", "a": "-1352*i**4" }, { "q": "Let b(j) = -40*j**2. Let u(a) = -212493*a**2. Calculate u(b(x)).", "a": "-339988800*x**4" }, { "q": "Let r(z) = 16*z**2 - 3*z. Let v(w) = -71*w + 3. Let y(t) = 118*t - 5. Let i(c) = 5*v(c) + 3*y(c). Determine i(r(m)).", "a": "-16*m**2 + 3*m" }, { "q": "Let y(w) = 1885*w. Let c(a) = 560*a**2. What is c(y(f))?", "a": "1989806000*f**2" }, { "q": "Suppose 0 = -j - 2*l + 15, -j = l - 21 + 1. Let p(o) = j*o + 15*o + 16*o - 54*o. Let m(b) = 13*b. Calculate p(m(q)).", "a": "26*q" }, { "q": "Let k(z) = 28 - 31*z - 17*z - 28 + 45*z. Let i(s) = s - 1. Let t(f) = 6*f + 5. Let u(y) = -5*i(y) + t(y). Give u(k(v)).", "a": "-3*v + 10" }, { "q": "Let q(w) = 2*w + 2 - 2. Let n(d) = 22*d**2 - 6. Let s(h) = -65*h**2 + 17. Let a = 2 - -15. Let f(l) = a*n(l) + 6*s(l). Give q(f(x)).", "a": "-32*x**2" }, { "q": "Let p(i) be the third derivative of -i**4/8 - 2*i**2. Let t(n) = 27*n**2. Give p(t(o)).", "a": "-81*o**2" }, { "q": "Let h(k) = -95*k. Let x(w) be the second derivative of -23*w**4/12 - w + 174. What is x(h(l))?", "a": "-207575*l**2" }, { "q": "Let n(p) be the third derivative of -9*p**5/5 + p**2 + 677. Let m(v) = 7*v. Give n(m(z)).", "a": "-5292*z**2" }, { "q": "Let x(q) be the first derivative of -5*q**3/3 + 1008. Let h(l) = -77*l - 2. What is x(h(a))?", "a": "-29645*a**2 - 1540*a - 20" }, { "q": "Let h(a) = -a**2. Let w(r) be the first derivative of 51 - 27*r + r + r**2 - 96 + 48. Determine h(w(b)).", "a": "-4*b**2 + 104*b - 676" }, { "q": "Suppose -24 = -123*h + 117*h. Let r(g) = 7*g**2 - 3*g. Let x(u) = -7*u**2 + 4*u. Let t(y) = h*r(y) + 3*x(y). Let a(l) = 2*l**2. Give a(t(m)).", "a": "98*m**4" }, { "q": "Let v(o) be the first derivative of o**2 + 1. Let x(k) = -24*k**2 - 4 + 8 - 7 - 94*k + 51*k + 43*k. Determine v(x(s)).", "a": "-48*s**2 - 6" }, { "q": "Let r(u) = -2*u**2 + 20. Let w(d) = 18*d**2 + 4. Let n(f) = -182*f**2 - 42. Let y(g) = 2*n(g) + 21*w(g). What is y(r(k))?", "a": "56*k**4 - 1120*k**2 + 5600" }, { "q": "Let f(o) = 18*o**2. Let r(g) be the second derivative of g**5/120 + 3*g**3/2 + g. Let a(x) be the second derivative of r(x). What is a(f(z))?", "a": "18*z**2" }, { "q": "Let g(o) = -o. Let c(m) = -4217645*m**2. Give c(g(q)).", "a": "-4217645*q**2" }, { "q": "Let t(x) be the first derivative of 20*x**3/3 - 1. Let j(u) = 4*u + 34. Let i be j(-8). Let g(d) = 16*d - 16*d + 0*d**i - 2*d**2. What is g(t(f))?", "a": "-800*f**4" }, { "q": "Let i(l) = 8*l. Let y(g) = -65307*g. What is i(y(v))?", "a": "-522456*v" }, { "q": "Let o(j) = 106*j**2 + 30*j + 6. Let u(k) = 30847*k**2 + 8720*k + 1744. Let q(i) = -872*o(i) + 3*u(i). Let x(p) = -16*p. What is x(q(z))?", "a": "-1744*z**2" }, { "q": "Let x(q) = q - 1. Let v(r) = -3. Let c(j) = v(j) - 3*x(j). Suppose 0 = -4*o + o + 6. Let d(y) = 3*y**2 + y**o - 9*y**2. Give c(d(b)).", "a": "15*b**2" }, { "q": "Let t(v) = -2*v**2. Let h(w) be the third derivative of w**4/6 + 14*w**3/3 - 131*w**2. Give t(h(d)).", "a": "-32*d**2 - 448*d - 1568" }, { "q": "Let n(r) = 10*r**2. Let q(h) = -40*h**2 - 70*h + 73*h - 3*h. Give n(q(o)).", "a": "16000*o**4" }, { "q": "Let l(x) = 7*x. Suppose u - 4*u + 3*f = -12, 15 = 4*u - 3*f. Suppose -4*d + 3*d + 3*o = 7, 5*d = -u*o + 19. Let m(k) = d + 471*k - 473*k - 2. What is m(l(z))?", "a": "-14*z" }, { "q": "Let d(a) = -1473303*a. Let x(q) = -5*q**2. Calculate x(d(r)).", "a": "-10853108649045*r**2" }, { "q": "Let b(h) = h. Let t(g) = -532 + 6*g + 2*g**2 + 2*g + 532. Let n(q) = 8*b(q) - t(q). Let i(u) be the second derivative of -u**3/3 - u. Calculate i(n(a)).", "a": "4*a**2" }, { "q": "Let w(z) be the second derivative of z**3/6 - 355*z. Let v(q) = -20*q**2 - 46*q**2 - 23*q**2 - 56*q**2. Calculate w(v(k)).", "a": "-145*k**2" }, { "q": "Let f(s) = -s. Let l(v) = -29*v**2 - 8*v**2 - 33*v**2 + 147*v**2. What is l(f(m))?", "a": "77*m**2" }, { "q": "Let o(h) = -602270*h. Let s(p) = -21*p**2. What is s(o(t))?", "a": "-7617312210900*t**2" }, { "q": "Let u(y) = 4*y**2. Let m = 23 - 19. Let w(p) = -1258 + 1258 - m*p. What is w(u(d))?", "a": "-16*d**2" }, { "q": "Let o(n) be the second derivative of -n**4/12 - n. Let j(g) = -33 - 63 + 54*g + 96. Calculate o(j(b)).", "a": "-2916*b**2" }, { "q": "Let l(b) = 661467*b**2 + b. Let i(m) = 2*m**2. Determine l(i(y)).", "a": "2645868*y**4 + 2*y**2" }, { "q": "Let h(s) = -8547*s. Let o(y) = -286*y**2. Determine h(o(l)).", "a": "2444442*l**2" }, { "q": "Let k = -4524 - -108595/24. Let u(q) be the third derivative of 0*q + 0*q**3 - 15*q**2 + 0 - k*q**4. Let d(t) = t. Determine u(d(s)).", "a": "-19*s" }, { "q": "Let l(p) = -5*p**2. Let r(g) = -5*g**2 - 100092*g. Give r(l(w)).", "a": "-125*w**4 + 500460*w**2" }, { "q": "Let a(y) = -919*y - 5. Let h(u) = -929*u - 4. Let x(w) = 6*a(w) - 7*h(w). Let q(n) = 3*n. Give x(q(b)).", "a": "2967*b - 2" }, { "q": "Let s(t) = -5 + 5 + 930*t**2 - 929*t**2. Let f(z) = z. Let n(b) = -2*b**2 - 6*b. Let a be (-2)/(-2) - (15 + -20). Let g(m) = a*f(m) + n(m). Give g(s(h)).", "a": "-2*h**4" }, { "q": "Let l(c) = -18*c + 3. Let o(h) = -12*h**2 - 2*h + 12. What is l(o(m))?", "a": "216*m**2 + 36*m - 213" }, { "q": "Let a(o) = o - 38. Let w(p) = p - 76. Let s(l) = -2*a(l) + w(l). Let h(y) = 529*y**2. What is s(h(q))?", "a": "-529*q**2" }, { "q": "Let r(g) = -31*g**2 - 5*g - 6. Let u(a) = -4*a - 70. Give r(u(o)).", "a": "-496*o**2 - 17340*o - 151556" }, { "q": "Let w(u) = 15*u**2. Let i(d) = 103*d**2 - 190*d**2 + 0 + 119*d**2 + 0. What is i(w(c))?", "a": "7200*c**4" }, { "q": "Let b(a) = -15510156*a. Let v(w) = 2*w**2. Calculate b(v(g)).", "a": "-31020312*g**2" }, { "q": "Let z(r) = 3*r + 7*r - 8*r - r. Let j(d) = -12*d + 78*d - 37*d. Determine z(j(y)).", "a": "29*y" }, { "q": "Let w(m) be the third derivative of 69*m**2 - 1/12*m**4 + 0*m + 0 + 0*m**3. Let r(l) = -32*l**2. Give w(r(y)).", "a": "64*y**2" }, { "q": "Let k(z) = -4*z - 209. Let i(y) = -7*y**2 + 123*y + 2. What is i(k(m))?", "a": "-112*m**2 - 12196*m - 331472" }, { "q": "Let r(a) = 133 + 8759*a + 31 - 8759*a - 5*a**2. Let s(u) = -u**2. Give s(r(o)).", "a": "-25*o**4 + 1640*o**2 - 26896" }, { "q": "Let t(q) = -30*q. Let v(m) = 6*m**2 + 8*m + 8. Let k(a) = a**2 + a + 1. Let f(d) = 8*k(d) - v(d). What is t(f(b))?", "a": "-60*b**2" }, { "q": "Let y(z) = 191766*z - 1. Let h(t) = t. What is h(y(r))?", "a": "191766*r - 1" }, { "q": "Let g(s) = 292*s + 2 + 3 - 593*s + 0 + 299*s. Let q(n) = -2*n**2 - 2*n + 0*n + 2*n. Determine g(q(i)).", "a": "4*i**2 + 5" }, { "q": "Let b(o) = -286*o. Let f(l) = l**2 + 3*l - 1. Let d(t) = -10*t**2 - 36*t + 12. Let j(a) = d(a) + 12*f(a). Give b(j(g)).", "a": "-572*g**2" }, { "q": "Let w(y) = 10*y. Suppose -4*t + 2 = 3*u - 5*t, 0 = 5*u - 2*t - 2. Let g(v) = 2*v - u*v - 145*v**2 + 139*v**2. Determine w(g(l)).", "a": "-60*l**2" }, { "q": "Let w(x) = -45*x. Let v(n) = n. Let q be (-38 + 36)*(-1)/(-2). Let b(k) = -k**2 + 6*k. Let g(d) = q*b(d) + 6*v(d). Calculate w(g(m)).", "a": "-45*m**2" }, { "q": "Let b(x) = -2*x + 2*x - 2*x. Let h(z) = -1. Let t(l) = 17*l. Let c(f) = -15*f + 1. Let u(a) = 7*c(a) + 6*t(a). Let m(y) = -21*h(y) - 3*u(y). Determine b(m(s)).", "a": "-18*s" }, { "q": "Let i(y) = y**2 - 408*y. Let j(x) = 400*x**2. What is i(j(c))?", "a": "160000*c**4 - 163200*c**2" }, { "q": "Let c(o) = -17*o + 1. Let w(h) = -10*h**2 - 24*h + 8. Let q(t) = 81*t**2 + 198*t - 66. Let f(b) = 4*q(b) + 33*w(b). What is f(c(j))?", "a": "-1734*j**2 + 204*j - 6" }, { "q": "Let u(t) = -9*t. Let k(l) = 296*l**2 - 12*l + 6. Let a(w) = 295*w**2 - 14*w + 7. Let r(v) = 6*a(v) - 7*k(v). What is u(r(m))?", "a": "2718*m**2" }, { "q": "Let d(t) = 189*t. Let i(g) = -3*g**2 - g + 12. Let m(j) = -j**2 - j + 12. Let x(a) = -i(a) + m(a). Give x(d(u)).", "a": "71442*u**2" }, { "q": "Let y(v) = -134*v. Let s(c) = -21*c**2 + 4. Let k(q) = 45*q**2 - 9. Let u(m) = 4*k(m) + 9*s(m). Determine u(y(b)).", "a": "-161604*b**2" }, { "q": "Suppose d + 3 = 2*d. Suppose 9*b + 42 = d*b. Let w(z) = 2*z. Let y(p) = -5*p. Let g(t) = b*w(t) - 2*y(t). Let v(m) = -4*m**2. What is v(g(h))?", "a": "-64*h**2" }, { "q": "Let f(o) = 2822*o. Let r(k) = -k + 1. Let z(q) = 3*q - 4. Let x(l) = 4*r(l) + z(l). What is f(x(c))?", "a": "-2822*c" }, { "q": "Let j(h) = -2424035*h. Let c(x) = 3*x. Determine j(c(u)).", "a": "-7272105*u" }, { "q": "Let h(f) = -3*f. Let l(u) = 23*u**2 + 80. Let z(y) = -4*y**2 - 1. Let c(k) = -l(k) - 6*z(k). Give c(h(j)).", "a": "9*j**2 - 74" }, { "q": "Let g(r) be the second derivative of -r**7/630 + 11*r**4/3 - 64*r. Let s(b) be the third derivative of g(b). Let m(z) = z**2. Calculate s(m(h)).", "a": "-4*h**4" }, { "q": "Let n(j) = 71*j**2 + 61*j**2 - 102*j**2. Let d(o) be the first derivative of -o**5/60 - o**3/3 - 1. Let i(q) be the third derivative of d(q). Give n(i(k)).", "a": "120*k**2" }, { "q": "Let s(j) = -3*j**2 + 15. Let x(c) be the second derivative of c**4/6 + c - 948. What is x(s(p))?", "a": "18*p**4 - 180*p**2 + 450" }, { "q": "Let k(b) = 3*b. Let z(l) = 2*l**2 - l + 72985. What is k(z(i))?", "a": "6*i**2 - 3*i + 218955" }, { "q": "Let n(c) = -12*c - 6. Let k(z) = 21*z + 11. Let r(m) = 6*k(m) + 11*n(m). Let p be 2/6 - (-10)/6. Let f(d) = -d + 3*d + p*d. Determine r(f(a)).", "a": "-24*a" }, { "q": "Let q(c) be the second derivative of 2*c**3/3 - 2*c. Let z(p) = 32*p + 576. Let o(h) = -9*h - 168. Let u(g) = -24*o(g) - 7*z(g). What is q(u(v))?", "a": "-32*v" }, { "q": "Let l = -2470 + 2470. Let d(h) be the second derivative of l + 0*h**3 - 18*h + 0*h**2 - 3/4*h**4. Let g(m) = m. Determine d(g(n)).", "a": "-9*n**2" }, { "q": "Let a(i) = 26*i - 2. Let b(c) = -82 + 150*c + 73 - 45*c. Let o(k) = -9*a(k) + 2*b(k). Let p(m) = -m. Determine p(o(y)).", "a": "24*y" }, { "q": "Let a(l) = -7*l - 4 + 4 - 4*l. Let c(q) be the third derivative of -1/60*q**5 + 0*q**3 - 15*q**2 + 0*q + 0 + 0*q**4. What is a(c(u))?", "a": "11*u**2" }, { "q": "Let m(v) = -72*v**2. Let t(k) = 1159*k**2 - k - 37. Give t(m(i)).", "a": "6008256*i**4 + 72*i**2 - 37" }, { "q": "Let f(m) = -121010*m**2. Let q(n) = 2*n**2 - 3. What is q(f(o))?", "a": "29286840200*o**4 - 3" }, { "q": "Let h(r) = 14*r. Let w(z) = 6*z. Let c = 124 + -119. Let j(l) = c*w(l) - 2*h(l). Let t(x) = -7*x**2. Calculate j(t(y)).", "a": "-14*y**2" }, { "q": "Let p(m) = -17*m**2 + 6*m. Let f(i) = -46*i**2 + 16*i. Let g(n) = 3*f(n) - 8*p(n). Let q(x) = -5*x**2 - 14 + 8 - 7*x**2. Give g(q(w)).", "a": "-288*w**4 - 288*w**2 - 72" }, { "q": "Let g(w) = -3*w. Suppose -4*n = 3*r + 47, -4*r + 5*n = -3*r + 41. Let c be 6/r + (-652)/(-28). Let t(j) = 23 - 3*j**2 - c + 0*j**2. Give g(t(d)).", "a": "9*d**2" }, { "q": "Let r(a) be the third derivative of -4*a**4/3 - 4*a**3 + 2*a**2 + 69. Let n(m) = 2*m**2. Determine r(n(h)).", "a": "-64*h**2 - 24" }, { "q": "Let i = -670 - -133. Let k be -1 + 4 + (4 - i). Let q(z) = -k + 544 - 3*z**2. Let j(l) = 11*l**2. Calculate j(q(y)).", "a": "99*y**4" }, { "q": "Let p(q) be the first derivative of -4*q**2 - 2. Let a(o) = -72*o. Let j(w) = -23*w. Let r(t) = -a(t) + 3*j(t). What is r(p(k))?", "a": "-24*k" }, { "q": "Let w(l) be the first derivative of 23*l**3/3 - 500. Let t(z) = -28*z. What is t(w(a))?", "a": "-644*a**2" }, { "q": "Let o(y) = -y + 4*y - 3*y + 5*y + 3*y. Suppose 5*q - 1 = -2*n + 15, -n = -q - 1. Let u(p) = -p + p + q*p**2. Calculate o(u(d)).", "a": "16*d**2" }, { "q": "Let n(g) = -g**2. Let z(w) = 73122*w**2. Give z(n(a)).", "a": "73122*a**4" }, { "q": "Let b(z) be the first derivative of 2*z**3/3 + 20. Let d(q) be the second derivative of -10*q**3/3 - 80*q - 1. Calculate b(d(h)).", "a": "800*h**2" }, { "q": "Let j(f) be the third derivative of 1387*f**4/8 - 952*f**2. Let y(i) = -i**2. Determine j(y(z)).", "a": "-4161*z**2" }, { "q": "Let a(k) = -7538*k**2. Let w(d) = 1392*d**2. Determine w(a(z)).", "a": "79095450048*z**4" }, { "q": "Let x(p) = 24800 - 18*p - 24800. Let t(k) = 38*k. Calculate t(x(l)).", "a": "-684*l" }, { "q": "Let q(u) = -633*u. Let p(w) = 4*w**2 + 16*w - 30. Determine q(p(h)).", "a": "-2532*h**2 - 10128*h + 18990" }, { "q": "Let i(l) be the third derivative of 1/24*l**4 + 0 + l + 26*l**2 + 0*l**3. Let k(r) = r**2 + r. Let v(n) = -n. Let y(h) = k(h) + v(h). Determine i(y(p)).", "a": "p**2" }, { "q": "Let r(a) be the third derivative of -a**8/20160 + a**5/12 - a**3/3 - 53*a**2. Let u(f) be the third derivative of r(f). Let h(z) = -34*z. Determine h(u(b)).", "a": "34*b**2" }, { "q": "Suppose 3*x + 3*v - 270 = 0, -48 = -x - 4*v + 54. Let o(h) = 38*h**2 + 86 - x. Let g(b) = b**2. Give o(g(m)).", "a": "38*m**4" }, { "q": "Let h(g) = 3*g. Suppose 0 = -5*m + 5*z - 10, -5*z = -4*m - 11 - 1. Let a(p) = 255*p + 25*p**m - 255*p. Determine a(h(b)).", "a": "225*b**2" }, { "q": "Let v(c) = 274*c**2. Let m(k) = -23 - 17 - 22*k + 24*k + 40. Give v(m(i)).", "a": "1096*i**2" }, { "q": "Let z(s) be the second derivative of s**3/3 + 23*s. Let h(u) = -19*u + 12*u**2 - 19*u + 38*u. What is z(h(q))?", "a": "24*q**2" }, { "q": "Let x(w) = 29153*w**2. Let m(b) = 26*b**2. Determine x(m(k)).", "a": "19707428*k**4" }, { "q": "Let h(p) be the first derivative of -p**3/3 - 615. Let f(y) = -755*y. Determine f(h(a)).", "a": "755*a**2" }, { "q": "Let h(z) be the third derivative of -67*z**5/60 + z**3/6 + 2*z**2 - 52*z. Let t(l) = 2*l**2. Determine h(t(b)).", "a": "-268*b**4 + 1" }, { "q": "Suppose -3*v + 9 + 0 = 0, -120 = -3*s - 3*v. Let h(z) = -5*z**2 - s*z - 36*z + 73*z. Let d(b) = 32*b. What is h(d(j))?", "a": "-5120*j**2" }, { "q": "Let m(q) = -q - 1. Let a(c) = 5*c - 2. Let g(o) = -2*a(o) + 4*m(o). Let i(h) = -16*h + 76*h - 24*h - 15*h - 19*h. Give i(g(f)).", "a": "-28*f" }, { "q": "Let f(d) = 11*d**2 + 141*d**2 - 100*d**2. Let i(j) = -20*j**2. Give f(i(z)).", "a": "20800*z**4" }, { "q": "Let z(v) be the first derivative of 63 - 5/2*v**2 + 4*v. Let h(p) = -2*p**2. Give z(h(l)).", "a": "10*l**2 + 4" }, { "q": "Let q(x) be the first derivative of -2*x**2 + 20. Let p(i) = 13*i + 7*i - 7*i + 13*i. Give q(p(c)).", "a": "-104*c" }, { "q": "Let s(q) = -2*q. Let c(j) = -2*j. Let n be (-102)/12 + 3 + 2/4. Let u(a) = n*c(a) + 4*s(a). Let b(g) = 40*g**2. Calculate u(b(o)).", "a": "80*o**2" }, { "q": "Let g(f) = -83848*f - 3948. Let a(m) = -191*m - 9. Let y(v) = -2632*a(v) + 6*g(v). Let z(l) = -2*l. What is z(y(u))?", "a": "752*u" }, { "q": "Let s(v) = -7511009 - 525*v**2 + 7511009. Let j(g) = -2*g**2. What is s(j(t))?", "a": "-2100*t**4" }, { "q": "Let f(h) be the third derivative of h**4/12 - 8*h**3 + 2*h**2 + 114. Let i(n) = -17*n**2. Calculate f(i(g)).", "a": "-34*g**2 - 48" }, { "q": "Let a(k) = -3*k**2 - 2*k + 5081. Let t(p) = p + 6. Give t(a(q)).", "a": "-3*q**2 - 2*q + 5087" }, { "q": "Let h(y) = 53*y + 4*y - 4 + 22*y + 2 + 3*y. Let q(i) = -7*i. Give q(h(n)).", "a": "-574*n + 14" }, { "q": "Let d(a) = 7*a. Let z(b) be the third derivative of 0*b**3 + 0 + 0*b - 1/6*b**4 - 36*b**2. Calculate d(z(h)).", "a": "-28*h" }, { "q": "Let m(h) = -13*h**2 - 1. Let x(q) = -14*q - 173. Give m(x(j)).", "a": "-2548*j**2 - 62972*j - 389078" }, { "q": "Let b(z) = 756*z. Let o(h) = 1164*h - 2. What is o(b(k))?", "a": "879984*k - 2" }, { "q": "Let w(n) = -52*n. Let b(z) be the third derivative of z + 0*z**3 - 1/24*z**4 - 24*z**2 + 0. Determine w(b(f)).", "a": "52*f" }, { "q": "Suppose 5*r + 645 = 4625. Let i(y) = 417*y**2 - r*y**2 + 401*y**2. Let x(d) = -3*d. Calculate i(x(s)).", "a": "198*s**2" }, { "q": "Let r(z) = 2*z + 32. Let k(s) = 3. Let x(t) = 3*t + 2. Let j be x(-1). Let f(n) = n + 1. Let p(g) = j*k(g) + 3*f(g). Determine r(p(u)).", "a": "6*u + 32" }, { "q": "Let n(y) = -2*y + 1. Let t(h) = 2*h**2 + 52750. Determine t(n(d)).", "a": "8*d**2 - 8*d + 52752" }, { "q": "Let r(c) = -863683*c. Let t(s) = 17*s. Determine r(t(m)).", "a": "-14682611*m" }, { "q": "Let v(o) be the second derivative of o**4/6 + 2*o. Let y(i) = 2969 + 2961 - 9*i**2 + 2*i**2 - 5930. Determine y(v(q)).", "a": "-28*q**4" }, { "q": "Let p(x) = 2*x. Suppose 3*g + 3*b = 3, -4*g + 10 = -b + 2*b. Suppose -g*l = -8 - 16. Let t(u) = l*u + u - 18*u. Determine t(p(z)).", "a": "-18*z" }, { "q": "Suppose s - 12660 = 4734. Let v(h) = -17394 - h + s. Let q(m) = m. Determine v(q(y)).", "a": "-y" }, { "q": "Let l(q) = 3*q. Let g(c) = 0*c + 9 + 281*c - 59*c + 6. Let p(w) = -32*w - 2. Let i(u) = -2*g(u) - 15*p(u). Calculate i(l(t)).", "a": "108*t" }, { "q": "Let c(q) be the second derivative of 0*q**2 - 37/3*q**3 + 2 + 8*q. Let r(j) = -2*j**2. What is r(c(k))?", "a": "-10952*k**2" }, { "q": "Let u(z) be the third derivative of -34*z**4/3 + 878*z**2. Let v(o) = 3*o**2. Give v(u(b)).", "a": "221952*b**2" }, { "q": "Let n(k) = -96*k**2. Suppose 0 = -4*b + 20, -b + 1805 = 5*r - r. Let m(t) = 3*t - r + 450 - 2*t. Determine m(n(l)).", "a": "-96*l**2" }, { "q": "Let n(h) = h**2 - 10. Let f(s) = -37144*s. Give n(f(p)).", "a": "1379676736*p**2 - 10" }, { "q": "Let w(x) = x**2 - 1. Let s(p) = 3*p + 24. Let y be s(-7). Let n(d) = 2*d**2 - 3. Let a(v) = y*w(v) - n(v). Let t(r) = 112*r**2. Calculate t(a(u)).", "a": "112*u**4" }, { "q": "Let w(z) be the second derivative of -z**3 + z. Let k(f) be the third derivative of -f**4/3 - f**2 - 2044*f. Calculate k(w(a)).", "a": "48*a" }, { "q": "Let l(u) = -320*u**2 + 376*u**2 - 3081*u**2. Let s(m) = -m**2. Give s(l(d)).", "a": "-9150625*d**4" }, { "q": "Let r(i) = 62894*i. Let f(s) = -75*s - 1. Give f(r(q)).", "a": "-4717050*q - 1" }, { "q": "Let r(l) be the first derivative of l**2 + 714. Let j(i) = 768*i. What is j(r(w))?", "a": "1536*w" }, { "q": "Let h(t) = -t + 5*t - 7*t. Let z(x) = -9*x - 5. Let w(q) = -34*q - 21. Let c(n) = -n. Let o(j) = -2*c(j) - w(j). Let u(p) = -5*o(p) - 21*z(p). Give h(u(l)).", "a": "-27*l" }, { "q": "Let f be (-2 - (-702)/(-15))/(14/(-385)). Let p(m) = -672*m - 676*m + f*m. Let h(n) = -9*n**2. What is h(p(i))?", "a": "-324*i**2" }, { "q": "Let h(c) be the third derivative of c**4/24 - 204*c**2 + 3*c. Let z(j) = -2250*j. Give h(z(o)).", "a": "-2250*o" }, { "q": "Let b(w) be the third derivative of 11*w**6/360 - 3*w**3/2 - 2*w**2 + w. Let a(y) be the first derivative of b(y). Let m(z) = z. Give a(m(u)).", "a": "11*u**2" }, { "q": "Let l(v) = 2790*v**2. Let c(s) = -93*s**2. Determine l(c(g)).", "a": "24130710*g**4" }, { "q": "Let z(p) be the second derivative of -11*p**6/120 + 9*p**3 - p**2 - 55*p. Let l(w) be the second derivative of z(w). Let v(i) = 4*i. Calculate v(l(b)).", "a": "-132*b**2" }, { "q": "Let l(c) = 1098*c. Let j(b) be the first derivative of b**3 + 168. What is j(l(f))?", "a": "3616812*f**2" }, { "q": "Let i(g) = 2*g + 10. Let a(q) = 35*q + 196. Let d(x) = -2*x - 7. Let f(p) = a(p) + 28*d(p). Calculate i(f(l)).", "a": "-42*l + 10" }, { "q": "Let b(a) = -a**2 + 17*a. Let f(l) = l + 1. Let c(m) = 2*m + 3. Let d be ((-2)/(-2))/((-37)/111). Let u(w) = d*f(w) + c(w). What is b(u(o))?", "a": "-o**2 - 17*o" }, { "q": "Let c(s) = 19*s**2. Suppose -31 - 89 = -2*l. Let o be l/27 + (-8)/36. Let a(g) = -g**2 + 0*g**2 + g**2 - o*g**2. Determine a(c(b)).", "a": "-722*b**4" }, { "q": "Let c(d) = -d**2. Let z(k) be the second derivative of 151*k**4/2 + 1128*k. What is c(z(m))?", "a": "-820836*m**4" }, { "q": "Let v(l) = -9*l**2. Let t(b) = 52*b**2 - 79*b**2 - 57*b**2. Give v(t(f)).", "a": "-63504*f**4" }, { "q": "Let w(t) = 2*t. Let b(o) = 2*o**2 - 78173*o. Calculate b(w(r)).", "a": "8*r**2 - 156346*r" }, { "q": "Let o(d) = d. Let i(l) be the first derivative of -129*l**2/2 + 21*l - 3. Let q(s) = 1 - s - 7 + 8 - 12*s. Let g(p) = 4*i(p) - 42*q(p). Determine o(g(a)).", "a": "30*a" }, { "q": "Let t(a) = -2 - 4*a + 2*a + 2. Let c(j) = -12*j + 16*j - j - 6*j. Determine t(c(b)).", "a": "6*b" }, { "q": "Let f(r) = 58*r**2. Let l(m) = 26*m**2 - 42*m + 56. Let x(d) = d**2 - 3*d + 4. Let j(g) = -l(g) + 14*x(g). What is j(f(a))?", "a": "-40368*a**4" }, { "q": "Let t(m) = -5940*m**2 - 2*m. Let x(o) = o - 17. Give x(t(d)).", "a": "-5940*d**2 - 2*d - 17" }, { "q": "Let t(h) = h**2. Let m(a) be the first derivative of 10*a**2 + a - 903. Calculate t(m(g)).", "a": "400*g**2 + 40*g + 1" }, { "q": "Let l(a) = 86366*a**2. Let j(t) = 9*t. Calculate l(j(r)).", "a": "6995646*r**2" }, { "q": "Let o(x) = 7*x**2. Let s(l) be the first derivative of 261*l**2/2 - 165. Calculate o(s(v)).", "a": "476847*v**2" }, { "q": "Let n(f) = -31*f. Let m(w) = -16*w**2 - 582 + 189 + 197 + 196. What is n(m(s))?", "a": "496*s**2" }, { "q": "Let i(j) = 7*j + 112. Let n(a) be the first derivative of -a**2/2 + 1631. Give n(i(u)).", "a": "-7*u - 112" }, { "q": "Let j(t) = 4*t**2. Let c(o) = -1291525*o. Give c(j(x)).", "a": "-5166100*x**2" }, { "q": "Let b(n) be the second derivative of -n**7/60 + n**4/3 - n**3/6 - 11*n + 2. Let i(q) be the third derivative of b(q). Let c(t) = 3*t**2. What is c(i(s))?", "a": "5292*s**4" }, { "q": "Let f(b) = -15*b**2 - 2*b. Let r(l) = 235*l**2 - 123*l**2 - 109*l**2. Calculate f(r(d)).", "a": "-135*d**4 - 6*d**2" }, { "q": "Let s(l) be the third derivative of -29/24*l**4 + 0*l**3 + 0 + 0*l - 75*l**2. Let n(f) = 3*f. Give n(s(x)).", "a": "-87*x" }, { "q": "Let w(k) = -6*k**2 + 4. Suppose 1 + 9 = 2*t + 4*d, -4*t = 4*d - 16. Let a(v) = -3*v**2 - t*v**2 + 16*v**2 - 8*v**2. What is a(w(s))?", "a": "72*s**4 - 96*s**2 + 32" }, { "q": "Let w(x) = -2*x**2. Let o(v) = 135161*v**2 + 370*v + 370. Let g(d) = 2180*d**2 + 6*d + 6. Let j(r) = -185*g(r) + 3*o(r). What is w(j(f))?", "a": "-9530978*f**4" }, { "q": "Let c(z) be the second derivative of 19*z**4/12 + 14*z + 12. Let s(i) = 12*i + 9. Let o(g) = -g - 1. Let u(w) = -18*o(w) - 2*s(w). Calculate c(u(d)).", "a": "684*d**2" }, { "q": "Let l = -17 - -21. Let m(h) = l*h**2 - 3*h**2 + 28*h**2. Let o(i) = -2*i**2. Calculate o(m(y)).", "a": "-1682*y**4" }, { "q": "Let n(f) = 5*f**2 + 7*f + 7. Let k(x) = x**2 - x - 1. Let z(j) = -14*k(j) - 2*n(j). Let w(q) = q + 40525 - 40525. Calculate w(z(c)).", "a": "-24*c**2" }, { "q": "Let a(l) = 174 - 102 - l - 72. Let h(m) = 227*m**2. Determine h(a(w)).", "a": "227*w**2" }, { "q": "Let z(d) = 272*d - 140*d - 132*d - 14*d**2. Let a(w) = -w - 9 + 9. Determine z(a(r)).", "a": "-14*r**2" }, { "q": "Let h(s) be the second derivative of -13*s**4/12 - 7*s. Let z = 47 + -42. Let w(r) = -3*r + 5 - z + 0. Calculate h(w(u)).", "a": "-117*u**2" }, { "q": "Let j(r) be the first derivative of 2*r**3/3 - 4*r**2 - 1004. Let u(t) = 27*t. Calculate u(j(n)).", "a": "54*n**2 - 216*n" }, { "q": "Let t(s) = 104*s**2 + 3*s. Let y(x) be the second derivative of x**4/12 - x + 60. What is t(y(b))?", "a": "104*b**4 + 3*b**2" }, { "q": "Let p(g) = 62*g**2. Let j(s) be the second derivative of -25*s**4/12 + 531*s. What is j(p(h))?", "a": "-96100*h**4" }, { "q": "Let k(s) = s. Let f(g) be the third derivative of -11*g**5/30 + g**3/6 - 680*g**2. What is k(f(i))?", "a": "-22*i**2 + 1" }, { "q": "Let m(y) = 24*y**2 + 275*y - 554*y + 279*y. Let w(d) = 54*d. Determine m(w(k)).", "a": "69984*k**2" }, { "q": "Let r(n) = -42*n - 48*n - 39*n + 177*n - 40*n. Let w(o) = -4*o**2 + 4. What is w(r(p))?", "a": "-256*p**2 + 4" }, { "q": "Let y(k) be the first derivative of -17*k**4/8 - 17*k**2 + 31. Let l(g) be the second derivative of y(g). Let d(p) = p. Give l(d(c)).", "a": "-51*c" }, { "q": "Let b(s) be the third derivative of -s**4/3 + 4246*s**2. Let k(o) = -10*o + 3. Let a(y) = 30*y - 8. Let x(h) = -3*a(h) - 8*k(h). Give b(x(m)).", "a": "80*m" }, { "q": "Let s(h) = 3*h + 1. Let t(l) = -81*l - 26*l + 94*l. What is t(s(g))?", "a": "-39*g - 13" }, { "q": "Let q(s) = -s**2. Let r(y) = 3 - 1 + 4 + 779*y - 7 - 98*y. Calculate r(q(i)).", "a": "-681*i**2 - 1" }, { "q": "Let a(q) = 19*q. Let n be (288/30)/6*(-10)/(-4). Suppose -z - 3 = d - n, -4*z = -3*d - 11. Let r(j) = -z*j + j + 2*j. Calculate a(r(y)).", "a": "19*y" }, { "q": "Suppose 26 - 209 = -61*q - 0*q. Let h(a) be the third derivative of 0*a**q + 14*a**2 + 0*a - 17/30*a**5 + 0*a**4 + 0. Let m(i) = 2*i**2. Determine h(m(p)).", "a": "-136*p**4" }, { "q": "Let z(m) = -48*m - 800. Let d(r) = -r. Calculate z(d(p)).", "a": "48*p - 800" }, { "q": "Let w be (-18)/(-4) - (6 + 121/(-22)). Let j(d) = 4331 + w*d - 4331. Let m(q) = 4*q**2. Give j(m(a)).", "a": "16*a**2" }, { "q": "Let l(v) = 6*v**2. Let d(i) = 1338070*i**2. Determine l(d(q)).", "a": "10742587949400*q**4" }, { "q": "Let o(w) = 17*w. Let x(k) = 129*k**2 - k - 3. Let p be x(3). Let f = -351 - -1506. Let j(u) = -f - u + p. What is j(o(t))?", "a": "-17*t" }, { "q": "Let w(o) = -1654345*o**2. Let g(f) = 2*f. Calculate w(g(h)).", "a": "-6617380*h**2" }, { "q": "Let s(i) = -5498 + 5498 - 7*i + 6*i. Let t(k) = 1055*k. Calculate s(t(m)).", "a": "-1055*m" }, { "q": "Let p(l) = 9*l + 1. Let r(u) be the second derivative of -2*u**4/3 + 690*u. Calculate r(p(g)).", "a": "-648*g**2 - 144*g - 8" }, { "q": "Suppose -21*z = -19*z - 8. Let v(u) = 2*u**2 + 901*u - z*u**2 - 901*u. Let d(j) = 18*j. Give v(d(b)).", "a": "-648*b**2" }, { "q": "Let g(o) = -3*o. Let j(m) = -60*m + 4. Let z(r) = -244*r + 19. Let b(n) = 9*j(n) - 2*z(n). Calculate b(g(v)).", "a": "156*v - 2" }, { "q": "Let b(n) = 2*n**2 + 31*n. Let h(m) = -163799*m. What is h(b(f))?", "a": "-327598*f**2 - 5077769*f" }, { "q": "Let c(p) = -12*p. Let d(u) = -2*u**2 + 72787*u. Give d(c(w)).", "a": "-288*w**2 - 873444*w" }, { "q": "Let o(c) = -7*c**2. Let l(x) be the first derivative of -1/2*x**2 + 1 + x. Let f(g) = -g + 3. Let n(u) = -f(u) + 3*l(u). Calculate n(o(t)).", "a": "14*t**2" }, { "q": "Let o(r) = 8*r**2 + 12*r. Let n(i) = 7*i**2 + 9*i. Let t(g) = -8*n(g) + 6*o(g). Let s(b) = 66*b**2. Determine t(s(f)).", "a": "-34848*f**4" }, { "q": "Let x(u) = -3 + 15 - 12 - 4*u. Let l(a) = -18*a**2 + 4. Calculate l(x(c)).", "a": "-288*c**2 + 4" }, { "q": "Let l(w) = -5*w**2 - 2*w. Let c(m) = 1738*m - 99. Let n(r) = 35*r - 2. Let o(j) = 2*c(j) - 99*n(j). Calculate o(l(u)).", "a": "-55*u**2 - 22*u" }, { "q": "Let s = 23 + 57. Let t(l) = -77*l**2 - 8*l + s*l**2 + 8*l. Let h(u) = -4*u + 2*u + u. Calculate t(h(b)).", "a": "3*b**2" }, { "q": "Let q(k) = -2880*k. Let h(j) = 3434*j - 2. Give h(q(f)).", "a": "-9889920*f - 2" }, { "q": "Let q(d) be the second derivative of -5*d**3/6 - d. Let m = 214 - 212. Let j(w) = -224*w**m + 111*w**2 + 111*w**2. Give q(j(z)).", "a": "10*z**2" }, { "q": "Let a(l) = -7 - 10*l**2 - 3783*l + 13*l**2 + 3783*l. Let u(j) = 2*j. Calculate a(u(v)).", "a": "12*v**2 - 7" }, { "q": "Let s(i) = -i. Let a(r) be the third derivative of r**5/20 - r**4/12 - r**3/6 + 19*r**2. Let m(t) be the first derivative of a(t). Calculate s(m(x)).", "a": "-6*x + 2" }, { "q": "Let k(b) = -33*b + 30. Let c(t) = -10*t + 9. Let s(p) = 10*c(p) - 3*k(p). Let g(h) = 1993*h. What is s(g(o))?", "a": "-1993*o" }, { "q": "Let q = 29 - 19. Let w(b) = -q - 8*b + 25 - 15. Let j(h) = 5*h. Determine w(j(g)).", "a": "-40*g" }, { "q": "Let i(g) = 6. Let b(s) = -46*s - 276. Let o(u) = b(u) + 46*i(u). Let f(x) = 9*x**2. Calculate o(f(n)).", "a": "-414*n**2" }, { "q": "Let o(v) be the second derivative of 56*v**2 + 29 - 56*v**2 + 6*v**3 + v. Let j(y) = -y**2. Calculate o(j(a)).", "a": "-36*a**2" }, { "q": "Let g(d) be the second derivative of 43*d**3/6 + 39*d + 7. Let y(b) = -2*b**2 - 13*b. Give g(y(t)).", "a": "-86*t**2 - 559*t" }, { "q": "Let z(b) = 3*b. Let q(m) = 104*m**2 + 78*m. Let s(i) = i**2 + i. Let f be 13/1*(-15)/10*4. Let u(r) = f*s(r) + q(r). Calculate z(u(w)).", "a": "78*w**2" }, { "q": "Let a(b) = -432*b**2 - 314*b + 1. Let i(c) = 3*c**2. Determine a(i(z)).", "a": "-3888*z**4 - 942*z**2 + 1" }, { "q": "Let c(d) = -129412*d. Let q(l) = 12*l**2. Calculate q(c(n)).", "a": "200969588928*n**2" }, { "q": "Let q(x) = -x**2. Let w be (-24)/156 - (-67)/13. Let c(j) = w*j - 2*j - 69 + 69. Give q(c(h)).", "a": "-9*h**2" }, { "q": "Let f(u) be the second derivative of u**4/6 - 2*u**2 - 64*u + 2. Let a(s) = 1. Let o(m) = -12*a(m) - f(m). Let j(d) = 2*d**2. Determine o(j(l)).", "a": "-8*l**4 - 8" }, { "q": "Let i(f) = -f. Let j(n) = 2*n**2 + 11*n + 8. Let s be (-5)/(-1 + -4) - 6. Let z be j(s). Let p(x) = -17*x**2 - 3 + 0 + z. Calculate p(i(h)).", "a": "-17*h**2" }, { "q": "Let w(y) = y**2 - 2*y - 858. Let l(c) = -220*c. Calculate l(w(p)).", "a": "-220*p**2 + 440*p + 188760" }, { "q": "Let w(g) = -g - 6. Let x(d) = d + 12. Let h be x(-6). Let s(m) = 2*m + 13. Let u(p) = h*s(p) + 13*w(p). Let a(j) = -1515 + 769 + 746 - 4*j. Give u(a(l)).", "a": "4*l" }, { "q": "Let m(r) = -r. Let s(f) = 77308*f. Give m(s(h)).", "a": "-77308*h" }, { "q": "Let f(j) = -7*j + 3. Let g(a) = 28*a - 11. Let m(u) = -11*f(u) - 3*g(u). Let s(i) = 98*i**2. Determine m(s(n)).", "a": "-686*n**2" }, { "q": "Suppose 41*m - 4*c = 43*m - 8, -3*m + 9 = 3*c. Let u(s) be the first derivative of 0*s + 0*s**m - 5 - 1/3*s**3. Let i(n) = 12*n**2. Give u(i(f)).", "a": "-144*f**4" }, { "q": "Let w(y) = -26*y - 10. Let b(x) = 31*x + 20*x - 79*x + 29*x. Calculate w(b(g)).", "a": "-26*g - 10" }, { "q": "Let r(v) be the third derivative of 0*v + 4*v**2 + 1/12*v**4 + 0 + 0*v**3. Let a(j) be the first derivative of -5*j**2 - 247. What is r(a(s))?", "a": "-20*s" }, { "q": "Let m(v) = -4*v - v + 2*v + 9*v - 5*v. Let z(j) = 139*j. What is z(m(o))?", "a": "139*o" }, { "q": "Let k(o) = -19*o**2 - 2908. Let b(y) = 11*y. What is k(b(c))?", "a": "-2299*c**2 - 2908" }, { "q": "Let f(v) = -2*v + 4. Suppose 3*c - 8 = -2*p, 13 - 1 = 3*p - 5*c. Let h(n) = -5*n + 9. Let x(l) = p*h(l) - 9*f(l). Let a(j) = -j + 5. Calculate x(a(o)).", "a": "2*o - 10" }, { "q": "Let p(v) = 137*v**2. Let x(n) = -10*n + 39 - 3*n + 12*n - 39. Give x(p(w)).", "a": "-137*w**2" }, { "q": "Let g(m) = -2*m**2. Let s be -1 + 0 + -2 + -1 - -39. Let b(q) = -189*q + 35. Let k(t) = -11*t + 2. Let z(o) = s*k(o) - 2*b(o). Calculate g(z(y)).", "a": "-98*y**2" }, { "q": "Let d(m) be the second derivative of -m**3/6 + 2*m. Suppose 18*x - 8 = 14*x. Let u(h) = -h + 5*h - h - x*h. Determine u(d(a)).", "a": "-a" }, { "q": "Let p(r) = -2907*r**2 - 13*r + 13*r + 1626*r**2. Let s(i) = 2*i**2. Calculate s(p(x)).", "a": "3281922*x**4" }, { "q": "Let v(t) = 2*t**2. Let g = 2312 + -1291. Let l(m) = 1021 - 3*m**2 - g + 18*m. Determine l(v(s)).", "a": "-12*s**4 + 36*s**2" }, { "q": "Let h(s) = -s**2 - 10*s - 8. Let g be h(-8). Let i(d) = 2*d - g*d + 4*d + 3*d. Let p(u) be the second derivative of 35*u**4/12 - 5*u. What is p(i(b))?", "a": "35*b**2" }, { "q": "Let k = -73 + 75. Let p(z) = 0*z**k + 45*z - 2*z**2 - 45*z. Let d(o) = -9*o + 7. Let v(w) = -w + 1. Let f(m) = -2*d(m) + 14*v(m). Calculate f(p(q)).", "a": "-8*q**2" }, { "q": "Let n(k) = 3*k + 536. Let g(y) = -2 - 21*y**2 + 45*y**2 + 2 - 25*y**2. Determine g(n(m)).", "a": "-9*m**2 - 3216*m - 287296" }, { "q": "Let r(d) = -2*d**2 + 134095*d - 134095*d. Let z(j) = 27*j**2 - 535 + 535. What is z(r(a))?", "a": "108*a**4" }, { "q": "Let k(p) = 19*p + 2. Let w be k(-2). Let b be (w/27)/((-2)/6). Let l(h) = -7*h**2 + b*h**2 + h**2. Let i(u) = u. What is l(i(c))?", "a": "-2*c**2" }, { "q": "Let w(v) = -2*v. Let l(t) = -t + 1. Let m(o) be the first derivative of o**3 + 3*o**2 - o + 16. Let k(z) = 6*l(z) + m(z). Calculate w(k(u)).", "a": "-6*u**2 - 10" }, { "q": "Let r(v) = -522608 - 2*v**2 + 522608. Let q(w) = 13*w + 21. Calculate r(q(m)).", "a": "-338*m**2 - 1092*m - 882" }, { "q": "Let b(o) = 465*o - 1. Let m(z) = -34974*z. Give b(m(k)).", "a": "-16262910*k - 1" }, { "q": "Let c(n) = -144*n**2 + 2. Let h(s) = -s**2 + 90*s + 1. Determine h(c(g)).", "a": "-20736*g**4 - 12384*g**2 + 177" }, { "q": "Let v(h) be the first derivative of -h**2/2 - 15. Let z(f) be the second derivative of 19*f**4/3 + 67*f. Calculate z(v(q)).", "a": "76*q**2" }, { "q": "Let w(j) = -45*j. Let c(d) = -d**2 - 88*d - 3. Determine c(w(s)).", "a": "-2025*s**2 + 3960*s - 3" }, { "q": "Let j be 0/7 + 0 + 15. Let d(z) = 12*z - 35*z + j*z. Let p(f) be the second derivative of -f**4/12 + 2*f. Give d(p(x)).", "a": "8*x**2" }, { "q": "Let p(f) = 76*f + 3. Let y(a) = -17*a**2 - 15*a - 180. Let s(o) = -o**2 - o - 12. Let w(c) = 30*s(c) - 2*y(c). Give p(w(i)).", "a": "304*i**2 + 3" }, { "q": "Let y(j) = 12*j - 117. Let v(n) = 18*n + 2. Let g(c) = -100*c - 11. Let i(u) = -2*g(u) - 11*v(u). Give i(y(p)).", "a": "24*p - 234" }, { "q": "Let j(r) = -21*r. Let o(q) = -29*q**2 + q - 4498. Calculate j(o(c)).", "a": "609*c**2 - 21*c + 94458" }, { "q": "Let v(t) = 5864*t. Let p(g) = g + 221. Determine p(v(d)).", "a": "5864*d + 221" }, { "q": "Let x(m) = -5*m. Let u(t) be the first derivative of 62*t**2 - 759. What is u(x(d))?", "a": "-620*d" }, { "q": "Let l(z) = 7*z + 3. Let o(p) = -416*p - 182. Let n(w) = -41*w - 18. Let a(r) = -91*n(r) + 9*o(r). Determine a(l(m)).", "a": "-91*m - 39" }, { "q": "Let a(z) = 2580*z**2. Let f(g) = -g + 130. Give f(a(w)).", "a": "-2580*w**2 + 130" }, { "q": "Let a(h) be the first derivative of 5*h**3 + 150. Let n(w) = 105*w. Give a(n(k)).", "a": "165375*k**2" }, { "q": "Let i(h) = -84 - 90 + 14*h + 255 - 88. Let m(z) = 7*z - 4. Let f(o) = -4*i(o) + 7*m(o). Let s(k) = -18*k. Give f(s(v)).", "a": "126*v" }, { "q": "Let w(p) = 1062*p**2 + 935*p**2 - 1988*p**2. Suppose -2*b + b - 3*g = -3, -2*g = 0. Let n(j) = j**2 + b*j**2 - 2*j**2. Determine n(w(c)).", "a": "162*c**4" }, { "q": "Let x(r) = 2*r**2. Let m(c) be the third derivative of -8*c**2 + 133/60*c**5 + 0 + 0*c**3 + 0*c**4 - 2*c. What is x(m(d))?", "a": "35378*d**4" }, { "q": "Let f(q) = 11*q. Let d(z) = 9858*z**2 - 4926*z**2 - 4935*z**2 + z. What is d(f(v))?", "a": "-363*v**2 + 11*v" }, { "q": "Let d(s) = 105*s**2. Let i(q) = 66349*q. Give i(d(o)).", "a": "6966645*o**2" }, { "q": "Let d(b) = 51*b. Let z(s) = 103851*s**2 + 1. What is d(z(r))?", "a": "5296401*r**2 + 51" }, { "q": "Let m(j) be the second derivative of 7*j**4/12 - 15*j**2/2 + j + 450. Let p(q) = -2*q**2. Give p(m(u)).", "a": "-98*u**4 + 420*u**2 - 450" }, { "q": "Let q(n) be the first derivative of -61*n**2/2 + 153. Let f(d) = d. Give f(q(m)).", "a": "-61*m" }, { "q": "Let l(s) = s**2 - 376. Let n(t) be the third derivative of t**4/24 + 962*t**2. What is n(l(q))?", "a": "q**2 - 376" }, { "q": "Let x(i) = 206*i - 24348. Let m(n) = 3*n**2. Calculate x(m(t)).", "a": "618*t**2 - 24348" }, { "q": "Let y(w) = -3*w**2 + 8*w + 149. Let s(o) = -3*o. What is s(y(k))?", "a": "9*k**2 - 24*k - 447" }, { "q": "Let a(b) = 26*b - 15*b + b + 22*b. Let f(l) be the second derivative of -l**4/4 + 2*l - 35. What is a(f(c))?", "a": "-102*c**2" }, { "q": "Let t(v) = 8. Let f(a) = -13*a + 45. Let g(b) = f(b) - 6*t(b). Let h(o) = -7*o. Calculate h(g(y)).", "a": "91*y + 21" }, { "q": "Let g(f) = -f. Let t(i) be the first derivative of -3*i**2 - 22*i + 1122. What is g(t(x))?", "a": "6*x + 22" }, { "q": "Let z(i) be the first derivative of -1/3*i**3 - 12 - i + 1/2*i**2. Let o(q) = q**2 - 3*q + 3. Let s(n) = o(n) + 3*z(n). Let m(t) = 8*t**2. What is s(m(r))?", "a": "-128*r**4" }, { "q": "Let s(q) = 3*q**2 - 2*q. Let d(b) be the third derivative of -11*b**4/6 - 30*b**2 - 8. Give s(d(a)).", "a": "5808*a**2 + 88*a" }, { "q": "Let l(j) = 16*j**2 + 3*j. Let b = 21 - 20. Let a(c) = c**2 + c. Let s(u) = b*l(u) - 3*a(u). Let p(g) = 10*g. Give s(p(q)).", "a": "1300*q**2" }, { "q": "Let i(m) = 2*m**2. Let c(q) be the second derivative of -43*q**6/360 + 19*q**3/3 + 32*q. Let y(a) be the second derivative of c(a). Determine y(i(j)).", "a": "-172*j**4" }, { "q": "Let q(w) = 6*w. Suppose 3*h = -2*t + 35, -5*t - 5*h = -h - 98. Let f(s) = -15*s - 5 - 10*s + t*s. Let u(n) = n + 2. Let j(x) = 4*f(x) + 10*u(x). Give q(j(d)).", "a": "-12*d" }, { "q": "Let j(d) = -22*d**2. Let f(i) = 30*i**2 - 15*i**2 + 21*i**2 + 0 + 0. Calculate j(f(w)).", "a": "-28512*w**4" }, { "q": "Let r be ((-14)/6 - 35/21)/1 + 4. Let o(c) be the first derivative of 0*c**2 + r*c + 7 + 1/3*c**3. Let u(i) = -6*i. What is o(u(k))?", "a": "36*k**2" }, { "q": "Let n(b) = -8*b. Let i(a) be the second derivative of 59*a**4/3 - 302*a. What is n(i(d))?", "a": "-1888*d**2" }, { "q": "Let x(w) = 144*w - 33 - 12 - 281*w + 142*w. Let n(v) = 2*v**2. Determine n(x(s)).", "a": "50*s**2 - 900*s + 4050" }, { "q": "Let g(o) = 4*o - 5*o + 5*o. Let r(w) = -38*w + 142 + 71 - 290 + 77. Calculate r(g(k)).", "a": "-152*k" }, { "q": "Let a(p) = -13*p**2. Suppose 2*u + 3*u - 60 = 0. Let q(n) = -8*n - n + u*n. Let o(d) = -d. Let l(g) = -2*o(g) - q(g). What is l(a(v))?", "a": "13*v**2" }, { "q": "Let h(w) = 2*w**2. Suppose 6*p = 2*p + 132. Let j = -31 + p. Let m(z) = -j*z + 2*z + 7*z - 4*z. Determine h(m(v)).", "a": "18*v**2" }, { "q": "Let s(a) = -9*a**2. Let t(f) be the first derivative of -36*f**2 + 594. What is t(s(c))?", "a": "648*c**2" }, { "q": "Let o(n) = -8 - 78*n**2 - 1 + 73*n**2 + 9. Let p(m) = -51*m**2 + 2. Determine p(o(b)).", "a": "-1275*b**4 + 2" }, { "q": "Let z(l) = -34 - 30 + 4*l - 19 + 10*l - 12*l. Let w(p) = 14*p. Give z(w(a)).", "a": "28*a - 83" }, { "q": "Let l(n) be the third derivative of 61*n**5/30 - 5*n**2 + 95*n. Let f(o) = 10*o**2. What is f(l(k))?", "a": "148840*k**4" }, { "q": "Let z(b) = 480*b. Let o(a) = 29*a. Let h(l) = 33*o(l) - 2*z(l). Let m(r) = 58*r**2. Give h(m(u)).", "a": "-174*u**2" }, { "q": "Suppose 0*y + 20 = -4*y. Let o(g) = -208*g. Let s(r) = 22*r. Let n(a) = y*o(a) - 48*s(a). Let h(x) be the first derivative of x**3/3 + 3. Give n(h(f)).", "a": "-16*f**2" }, { "q": "Let g(j) = j**2. Let w(c) be the third derivative of -17*c**4/8 - 2*c**3 + c**2 + 6. Calculate w(g(f)).", "a": "-51*f**2 - 12" }, { "q": "Let x(k) = 2867*k - 1. Let u(v) = 11*v + 12. What is x(u(d))?", "a": "31537*d + 34403" }, { "q": "Let s(r) = r - 16. Let u(p) = -2638*p + 2630*p + 4 - 4. Calculate s(u(x)).", "a": "-8*x - 16" }, { "q": "Let s(g) = 26*g. Let y(i) be the first derivative of -i**4/6 - 45*i + 18. Let p(f) be the first derivative of y(f). Give p(s(c)).", "a": "-1352*c**2" }, { "q": "Let h(o) be the third derivative of o**4/24 - 30*o**2 + 4*o. Let s(r) = 1272*r**2. Calculate s(h(z)).", "a": "1272*z**2" }, { "q": "Let i(k) = 3*k. Let t(n) = 53 - 1224*n - 1213*n + 2434*n. Determine i(t(d)).", "a": "-9*d + 159" }, { "q": "Let f(h) = 5*h + 12. Let n(s) = -4*s - 16. Let m(d) = -4*f(d) - 3*n(d). Let l(b) be the first derivative of -3*b**2 + 5. Determine m(l(g)).", "a": "48*g" }, { "q": "Let f(c) = -84*c**2. Let n(x) = -2*x - 206. What is n(f(r))?", "a": "168*r**2 - 206" }, { "q": "Let a(z) = -23*z**2. Let o be (2 - 1) + 3 + (-12 - -10). Let j(b) = -197*b**o - 198*b**2 + 394*b**2. Give a(j(r)).", "a": "-23*r**4" }, { "q": "Let t(s) = 46308*s**2. Let a(d) = -212*d**2 - 1. Determine a(t(w)).", "a": "-454619343168*w**4 - 1" }, { "q": "Let a(i) = 33*i**2. Let j(x) = -90009*x. Determine a(j(w)).", "a": "267353462673*w**2" }, { "q": "Let u(k) = -2*k**3 - 17*k**2 + 6*k - 14. Let t be u(-9). Let c(h) = -h**2 + 15 + t - 28. Let l(o) = -102*o. Give c(l(r)).", "a": "-10404*r**2" }, { "q": "Let m(r) = 34*r. Let i(o) = o - 53 - 33*o**2 + 51 - o. Determine m(i(f)).", "a": "-1122*f**2 - 68" }, { "q": "Let y(q) = -2*q. Let b(r) = 150*r + 12. Let p(s) = -6900*s - 545. Let i(g) = 1. Let h(k) = 5*i(k) - p(k). Let l(j) = 275*b(j) - 6*h(j). Calculate l(y(v)).", "a": "300*v" }, { "q": "Let s(p) = 672*p + 35. Let g(u) = 19*u + 1. Let f(b) = -35*g(b) + s(b). Let n(v) = -306*v**2. What is n(f(k))?", "a": "-14994*k**2" }, { "q": "Let f(v) = -8*v**2. Suppose -26*n + 35 = -43 - 78. Let b(i) be the third derivative of 0*i**3 + 0 - 1/20*i**5 + 0*i + 0*i**4 - n*i**2. Give f(b(s)).", "a": "-72*s**4" }, { "q": "Let j(v) = -2*v. Suppose 28*d + 10 - 38 = 0. Let o(n) = -26*n - 18*n + 53*n + d. What is o(j(c))?", "a": "-18*c + 1" }, { "q": "Let a(d) = -21*d**2 - 67*d + 8. Let q(n) = 13*n**2 + 42*n - 5. Let o(y) = 5*a(y) + 8*q(y). Let g(r) be the second derivative of r**3/6 + 2*r. Give g(o(j)).", "a": "-j**2 + j" }, { "q": "Let y(x) = 9*x**2. Let g(k) = -5772*k**2 + 26*k + 1. Give g(y(n)).", "a": "-467532*n**4 + 234*n**2 + 1" }, { "q": "Let q(r) = 7134*r. Let s(g) = 5*g - 2. What is q(s(z))?", "a": "35670*z - 14268" }, { "q": "Let x(s) = -93669*s. Let f(n) = n**2 + 3*n. Calculate f(x(m)).", "a": "8773881561*m**2 - 281007*m" }, { "q": "Let m(s) = 8141*s. Let c(j) = -2509*j. What is m(c(x))?", "a": "-20425769*x" }, { "q": "Let l(s) = -612182*s**2. Let u(z) = -8*z**2. Determine u(l(a)).", "a": "-2998134408992*a**4" }, { "q": "Let c(m) = 35101*m. Let b(s) = 6*s**2 - 42. Give c(b(y)).", "a": "210606*y**2 - 1474242" }, { "q": "Let f(n) = -15*n. Let z(v) be the second derivative of 13*v**3/2 + 2*v + 18. Give f(z(k)).", "a": "-585*k" }, { "q": "Let a(d) = d - 39 + 36 - 2*d. Let v(q) be the second derivative of q**4/6 + 13*q. What is a(v(x))?", "a": "-2*x**2 - 3" }, { "q": "Let m(u) be the third derivative of -7*u**4/3 + 977*u**2. Let f(c) = -4*c. Give m(f(a)).", "a": "224*a" }, { "q": "Let q(y) be the third derivative of 3*y**5/4 - y**3/3 - 857*y**2. Let h(l) = -3*l**2. Calculate h(q(c)).", "a": "-6075*c**4 + 540*c**2 - 12" }, { "q": "Let q(h) = 95275*h + 41. Let v(t) = -3*t. What is v(q(r))?", "a": "-285825*r - 123" }, { "q": "Let y(r) = -r. Let u(d) = 663*d**2 + 14063. Give u(y(k)).", "a": "663*k**2 + 14063" }, { "q": "Let r(m) be the second derivative of m**4/6 + 92*m. Let v(d) be the third derivative of 0*d**3 + 2*d**2 + 0*d**4 + 1/60*d**5 + 0*d + 0. Calculate r(v(w)).", "a": "2*w**4" }, { "q": "Let q(c) = -4*c + 9*c - 3*c. Let x(h) be the second derivative of 0*h**3 + 0*h**2 + 23/12*h**4 + 0 - 27*h. Calculate x(q(a)).", "a": "92*a**2" }, { "q": "Let m(f) = 2*f**2. Let z(s) be the first derivative of 116*s**3/3 + 2*s**2 + 751. Determine z(m(y)).", "a": "464*y**4 + 8*y**2" }, { "q": "Let g(o) be the second derivative of 7*o**4/12 - 27*o**2/2 + 7*o + 69. Let k(p) = 2*p. What is k(g(z))?", "a": "14*z**2 - 54" }, { "q": "Let h(r) = -10*r. Suppose -7*k = -5*k - 134. Let x(s) = 67*s - k*s - 2*s**2. Determine x(h(i)).", "a": "-200*i**2" }, { "q": "Let u(b) = 452*b**2 - 12. Let q(y) = 35*y. Determine u(q(s)).", "a": "553700*s**2 - 12" }, { "q": "Let b(v) = 62002*v**2 - 2. Let m(h) = 27*h**2. Calculate b(m(s)).", "a": "45199458*s**4 - 2" }, { "q": "Let r(m) = -66*m + 17*m + 18*m + 30*m. Let q(k) be the first derivative of -5*k**4/12 + 2*k + 1. Let s(v) be the first derivative of q(v). Give s(r(j)).", "a": "-5*j**2" }, { "q": "Let x(b) = -2*b. Let m(g) = -25509*g**2 + g. Give m(x(f)).", "a": "-102036*f**2 - 2*f" }, { "q": "Let p(f) = -26*f**2. Let w(c) = -123965*c. Determine w(p(k)).", "a": "3223090*k**2" }, { "q": "Let j(s) = -8*s. Let x(o) = 897*o**2 - 260*o - 195. Let q(f) = -28*f**2 + 8*f + 6. Let y(z) = 65*q(z) + 2*x(z). What is y(j(t))?", "a": "-1664*t**2" }, { "q": "Let l(u) = -236*u + 36. Let k(c) = 33*c - 5. Let d(z) = -36*k(z) - 5*l(z). Let j(n) = 142*n**2. Give j(d(y)).", "a": "9088*y**2" }, { "q": "Let o(r) be the second derivative of -5*r**4/12 + 2*r. Let u = 250 - 246. Let c(h) = -12*h + u*h + 4*h. What is o(c(j))?", "a": "-80*j**2" }, { "q": "Let w(a) = -17*a**2. Let i(t) = 104*t + 11. Let y(x) = 118*x + 13. Let o(n) = -6*i(n) + 5*y(n). Determine o(w(z)).", "a": "578*z**2 - 1" }, { "q": "Let p(j) be the first derivative of -j**2/2 - 562. Let o(y) = 272*y. Determine p(o(l)).", "a": "-272*l" }, { "q": "Let t(m) be the second derivative of -m**4/4 - 955*m. Let l(w) = 5*w - 59. What is l(t(u))?", "a": "-15*u**2 - 59" }, { "q": "Let a(q) = 10*q**2. Let x(j) be the first derivative of 16 + 0*j + 0*j**2 - 2/3*j**3. What is x(a(n))?", "a": "-200*n**4" }, { "q": "Let u(w) = -12*w. Let y be (-3*(0 - -1))/((-90)/(-30)). Let c(x) = 5*x**2. Let r(v) = -v**2. Let j(l) = y*c(l) - 3*r(l). What is j(u(h))?", "a": "-288*h**2" }, { "q": "Let u(g) be the third derivative of 0 - 2*g + 31/60*g**5 + 0*g**3 + 0*g**4 - 28*g**2. Let i(m) = 6*m - 4*m - 3*m. Calculate i(u(r)).", "a": "-31*r**2" }, { "q": "Let b(r) = -769720*r**2. Let i(v) = -4*v**2. What is i(b(f))?", "a": "-2369875513600*f**4" }, { "q": "Let j(z) = z**2 - 22*z + 60. Let y be j(-31). Let b(n) = -18*n - y + 1703 - 6*n. Let u(w) = 4*w. Calculate u(b(l)).", "a": "-96*l" }, { "q": "Suppose -2*w + w = -4. Let t(x) = -4 + w - 5*x + 6*x. Let c(i) be the first derivative of -i**2 + 8. Give t(c(k)).", "a": "-2*k" }, { "q": "Let t(b) = b. Let j = 101 + -103. Let v(g) = -g**2 + 19*g. Let w(n) = -6*n. Let r(i) = j*v(i) - 7*w(i). Determine t(r(x)).", "a": "2*x**2 + 4*x" }, { "q": "Let f(n) be the first derivative of -873*n**2/2 + 1067. Let z(r) = 2*r**2. Determine z(f(h)).", "a": "1524258*h**2" }, { "q": "Let u(g) = -g - 3. Let x(w) = -5. Let q(n) = -1. Let a(l) = 9*q(l) - 2*x(l). Let f = 17 + -16. Let p(v) = f*u(v) + 3*a(v). Let h(b) = -10*b. What is h(p(z))?", "a": "10*z" }, { "q": "Let i(a) = -18*a - 298 + 298. Let q(n) be the second derivative of n**4/12 + 6*n + 2. What is i(q(y))?", "a": "-18*y**2" }, { "q": "Let h(m) be the third derivative of m**4/24 - 1209*m**2 + 1. Let r(f) = -21*f + 12*f - 19*f. Calculate r(h(k)).", "a": "-28*k" }, { "q": "Suppose 0*t + 10 = -2*t. Let l(r) = 7*r. Let z(b) = -16*b. Let d(s) = t*l(s) - 2*z(s). Let w(f) = 22*f**2. Determine d(w(g)).", "a": "-66*g**2" }, { "q": "Let h(w) = 5*w**2. Let v be (12225/125)/((-1)/(-1 - 4)). Let d(c) = -v + 489 - 11*c + 2*c. Give h(d(y)).", "a": "405*y**2" }, { "q": "Let x(q) = -2*q**2. Let a(i) = 16616076*i**2. Calculate a(x(d)).", "a": "66464304*d**4" }, { "q": "Let n(m) = m**2. Let a(u) = 8*u + 2502. Let i(l) = -l - 313. Let b(q) = 4*a(q) + 34*i(q). What is n(b(f))?", "a": "4*f**2 + 2536*f + 401956" }, { "q": "Let u(m) = -m**3 + 6*m**2 + 11. Let y be u(6). Let h(p) = 147 - y*p + 146 - 293. Let w(o) = o**2. Calculate h(w(d)).", "a": "-11*d**2" }, { "q": "Let m(y) = -4*y. Let i(p) = 63*p - 19572. Determine i(m(b)).", "a": "-252*b - 19572" }, { "q": "Let f(z) = 5*z - 30*z - 14*z. Let b(m) = 3*m. What is b(f(t))?", "a": "-117*t" }, { "q": "Let x(s) = 3*s. Let r(l) be the first derivative of -l**5/60 - l**4/24 + 31*l**2/2 - 64. Let y(f) be the second derivative of r(f). Calculate y(x(o)).", "a": "-9*o**2 - 3*o" }, { "q": "Let m(d) = -7*d - 5. Let w(v) = 4*v + 3. Let s(i) = -3*m(i) - 5*w(i). Suppose -7*o = -6*o. Let p(a) = -7*a + o*a - a. What is s(p(n))?", "a": "-8*n" }, { "q": "Let i(d) = -597*d**2. Let y(c) = 8*c - 27. Let l(t) = -10*t + 36. Let x(s) = -3*l(s) - 4*y(s). Give i(x(z)).", "a": "-2388*z**2" }, { "q": "Let y(q) = 3111*q - 778*q - 775*q - 776*q - 780*q. Let u(x) = -x - 439. Calculate y(u(a)).", "a": "-2*a - 878" }, { "q": "Let r(d) = 6*d + 83055. Let h(f) = 2*f**2. Calculate r(h(n)).", "a": "12*n**2 + 83055" }, { "q": "Let w(t) = -t. Let b(m) = 29241568*m. Determine w(b(q)).", "a": "-29241568*q" }, { "q": "Let t(d) = -13 - d + 13 - d. Let u(x) = -8*x**2. Let i = 35 + -51. Let z(k) = -24*k**2. Let r(h) = i*u(h) + 5*z(h). Calculate t(r(l)).", "a": "-16*l**2" }, { "q": "Let z(l) = -7*l. Let x(n) = -33108*n + 11. Determine z(x(h)).", "a": "231756*h - 77" }, { "q": "Suppose 19*p - 88 = 8*p. Let h(d) = 0*d**2 - p*d**2 + 6*d**2. Let g(r) = r + 6. Let c(u) = u + 7. Let s(b) = 6*c(b) - 7*g(b). Give h(s(m)).", "a": "-2*m**2" }, { "q": "Let j(m) = -m**2. Let v(z) = -z - 10. Let g be v(-14). Suppose 3*y - y + 2*c = -2, 0 = -g*y + 3*c + 24. Let b(q) = 2*q - y*q - 4*q + 3*q. Determine j(b(h)).", "a": "-4*h**2" }, { "q": "Let t(v) = v**2 - 9*v - 3. Suppose 4*x = 4, 4*u + x = 5*x + 44. Let c be t(u). Let k(h) = -c + 20 + 2*h**2 + 13. Let p(w) = -w**2. Determine p(k(a)).", "a": "-4*a**4" }, { "q": "Let b(o) be the third derivative of o**7/1008 + 53*o**5/60 + 33*o**2. Let d(h) be the third derivative of b(h). Let u(m) = -4*m. Calculate u(d(r)).", "a": "-20*r" }, { "q": "Let b(a) = a. Let w(q) = 2899413*q. What is b(w(t))?", "a": "2899413*t" }, { "q": "Let q(x) = -4*x**2 - 9313*x + 5. Let f(h) = 4*h. Calculate f(q(u)).", "a": "-16*u**2 - 37252*u + 20" }, { "q": "Let b(y) = y. Let i(g) = 3*g. Let c(o) = 17*b(o) - 6*i(o). Let u be 6 - (-5 + -7)/(-3). Let s(a) = 6*a**2 - 7*a**u - 7*a**2 - 6*a**2. Calculate c(s(x)).", "a": "14*x**2" }, { "q": "Let d(r) = 105*r - 745. Let z(b) = b**2 + 84*b. What is d(z(c))?", "a": "105*c**2 + 8820*c - 745" }, { "q": "Let s(m) = -3*m**2. Let j(o) = 3*o - 11. Let p be j(20). Let k = p + -47. Let u(f) = 9*f + 7*f**k - f - 8*f. Determine u(s(a)).", "a": "63*a**4" }, { "q": "Let a(w) = -85*w. Let n(l) be the first derivative of 2*l**2 + 1412. What is n(a(p))?", "a": "-340*p" }, { "q": "Let u(h) = 113*h. Let g(q) = 45549*q. Calculate g(u(k)).", "a": "5147037*k" }, { "q": "Let f(j) = -12*j**2. Let h(k) be the third derivative of -5*k**4/12 + 664*k**2. Determine h(f(r)).", "a": "120*r**2" }, { "q": "Let l(q) = 16*q. Let c(a) = 6*a - 21. Let i be c(4). Suppose 2*u = 3*t + 11, i*u - t - 47 = -u. Let n(m) = 6 + 7 - u - 2*m. What is l(n(w))?", "a": "-32*w" }, { "q": "Let h(j) = -26*j + 24. Let i(w) = -128*w - 5. Give i(h(o)).", "a": "3328*o - 3077" }, { "q": "Let q(u) = 54*u**2. Let r(f) = -2*f + f + 3*f - 2*f + 7*f**2. Give q(r(j)).", "a": "2646*j**4" }, { "q": "Let c(n) = 236510*n + 2. Let z(x) = 4*x**2. What is c(z(v))?", "a": "946040*v**2 + 2" }, { "q": "Let r(f) = -15*f**2 + 31*f**2 - 6*f**2. Let c(q) be the first derivative of -q**3/3 + q - 3. Let d(u) be the first derivative of c(u). What is r(d(k))?", "a": "40*k**2" }, { "q": "Let h(u) = 4*u. Let g(i) = -197*i**2 + 2*i + 5. What is g(h(x))?", "a": "-3152*x**2 + 8*x + 5" }, { "q": "Let i(j) = 1074*j**2. Let y(h) = -264*h. Let o(z) = 31*z. Let l(d) = -51*o(d) - 6*y(d). What is i(l(n))?", "a": "9666*n**2" }, { "q": "Let m(z) = 2*z**2. Let l(a) = a + 9. Let t(b) = 124*b + 9. Let f(v) = l(v) - t(v). Give f(m(n)).", "a": "-246*n**2" }, { "q": "Let t(x) be the second derivative of 567*x**3 - 691*x. Let p(z) = -z**2. Determine t(p(m)).", "a": "-3402*m**2" }, { "q": "Let s(g) = -g - 30 + 77 - 47. Let t(d) = 908*d**2. Give s(t(a)).", "a": "-908*a**2" }, { "q": "Let q(s) = -6*s + 1 + 3*s - 2*s**2 + 2*s + 3*s**2. Let x(r) = 2*r - 2. Let l(y) = -2*q(y) - x(y). Let h(v) = -125*v. Determine h(l(a)).", "a": "250*a**2" }, { "q": "Let s(n) be the first derivative of 4*n**3 + 1645. Let t(a) = a**2 - 13*a. Give t(s(v)).", "a": "144*v**4 - 156*v**2" }, { "q": "Let c(k) = 10*k + 1148. Let t(m) = -m - 164. Let r(w) = c(w) + 7*t(w). Let a(f) be the third derivative of -f**5/20 - f**4/4 - f**2. Determine a(r(j)).", "a": "-27*j**2 - 18*j" }, { "q": "Let v(m) = 7*m - 39. Let a(j) = -9*j + 37. Let c(z) = -3*a(z) - 4*v(z). Let p(y) = 8*y**2. Give p(c(h)).", "a": "8*h**2 - 720*h + 16200" }, { "q": "Let d(c) = -37*c**2 + 2. Let q(t) = 84*t - 288. Let v(s) = s - 3. Let n(j) = q(j) - 96*v(j). Give d(n(i)).", "a": "-5328*i**2 + 2" }, { "q": "Let o(u) = -u + 26 - 22 + 2*u - 18 - 8*u. Let g(n) = 3*n**2. Determine o(g(t)).", "a": "-21*t**2 - 14" }, { "q": "Let l(h) = -610*h**2. Let n(g) = 39*g - 98*g + 54*g. Calculate l(n(k)).", "a": "-15250*k**2" }, { "q": "Let v(j) = -1487*j**2 + 740*j**2 + 3*j + 737*j**2. Let z(p) = 5*p**2. Determine z(v(o)).", "a": "500*o**4 - 300*o**3 + 45*o**2" }, { "q": "Let p(v) = -v. Let s(m) = -136 + m**2 - 18*m**2 + 58 + 74. Calculate p(s(n)).", "a": "17*n**2 + 4" }, { "q": "Let r(s) = 4494345*s + 4. Let y(g) = 2*g**2. Calculate r(y(z)).", "a": "8988690*z**2 + 4" }, { "q": "Let z(r) = r**2 + 8*r + 4. Let a(b) = -14*b + 24. Let q be a(2). Let w(y) = y**2 + 14*y + 7. Let u(c) = q*w(c) + 7*z(c). Let l(t) = -42*t. Determine l(u(v)).", "a": "-126*v**2" }, { "q": "Let g(n) = 884*n - 13. Let q(b) = 2*b**2 + 31. Determine g(q(x)).", "a": "1768*x**2 + 27391" }, { "q": "Let x(p) = 1862220*p**2 + 167297*p + 9841. Let t(i) = -757*i**2 - 68*i - 4. Let f(o) = -9841*t(o) - 4*x(o). Let m(y) = -2*y**2. Calculate f(m(w)).", "a": "3028*w**4" }, { "q": "Let j(f) = 29*f. Let u(t) = 2*t**2 - 2*t + 29611. Give u(j(w)).", "a": "1682*w**2 - 58*w + 29611" }, { "q": "Let c(i) = 73*i. Let z(d) = 4*d**2 - 5*d. Let n(k) = -k**2 + k. Suppose 3 = u + 2. Let h(t) = u*z(t) + 5*n(t). Calculate h(c(r)).", "a": "-5329*r**2" }, { "q": "Let v(z) = -18*z. Suppose 20 = -2*m + 3*s - 7*s, -2*s - 8 = 0. Let n(x) = 2. Let w(c) = 2*c**2 + 3. Let f(y) = m*w(y) + 3*n(y). What is v(f(h))?", "a": "72*h**2" }, { "q": "Let t(w) = -735*w - 714*w + 1450*w. Let l(x) be the first derivative of -3*x**2/2 + 25*x - 7. Calculate l(t(u)).", "a": "-3*u + 25" }, { "q": "Let w(s) = 96*s**2. Let x(j) be the second derivative of -j**4/3 + 692*j + 1. What is w(x(q))?", "a": "1536*q**4" }, { "q": "Let b(w) be the third derivative of -3 + 0*w - w**2 + 1/24*w**4 + 0*w**3. Let q(s) = 9*s**2. What is q(b(f))?", "a": "9*f**2" }, { "q": "Let q be 3 + -2 - (-4)/(-24)*0. Let w(k) = -103*k + 99*k - q + 1. Let l(f) be the second derivative of f**4/2 + f. Calculate w(l(x)).", "a": "-24*x**2" }, { "q": "Let i(a) = -1289*a. Let o(q) = 4*q + 5*q + 6*q - 6*q - 7*q. Calculate o(i(n)).", "a": "-2578*n" }, { "q": "Let q(n) = -470360*n**2. Let o(w) = 30*w**2. Calculate o(q(f)).", "a": "6637155888000*f**4" }, { "q": "Let z(d) = 16*d - 18*d + 136172 - 136157. Let a(c) = c - 1 + 1. Calculate a(z(k)).", "a": "-2*k + 15" }, { "q": "Let k(x) = 5*x**2. Let y(h) be the second derivative of 0*h**3 - 1 - 1/12*h**4 + 29*h + 0*h**2. Determine k(y(t)).", "a": "5*t**4" }, { "q": "Let o(t) be the first derivative of 5*t**3 + 1594. Let j(n) = -n**2 + 15*n. What is j(o(b))?", "a": "-225*b**4 + 225*b**2" }, { "q": "Let w(x) be the second derivative of 0*x**3 + 0 - 49*x + 1/6*x**4 + 0*x**2. Let h(a) be the first derivative of -a**3 + 1. Calculate w(h(q)).", "a": "18*q**4" }, { "q": "Suppose -6*h + 21 - 3 = 0. Let z(p) = h*p**2 - 317 + p**2 + 314. Let o(d) = -d. What is o(z(q))?", "a": "-4*q**2 + 3" }, { "q": "Let s(c) = -8 - 29 + 402*c + 4 - 195*c. Let f(x) = 13*x - 2. Let u(t) = 99*f(t) - 6*s(t). Let o(y) = y**2. What is o(u(r))?", "a": "2025*r**2" }, { "q": "Let f(k) = -280*k + 48. Let r(m) = -90*m + 15. Let b(q) = -5*f(q) + 16*r(q). Let p(t) = -19*t. Determine p(b(z)).", "a": "760*z" }, { "q": "Let p(w) = 1454 - 2*w - 1454. Let a(u) = -u + 7. Let d be a(5). Let c(o) = -11*o + 11*o + 5*o**d. Determine c(p(h)).", "a": "20*h**2" }, { "q": "Let i(p) = -6*p**2 - 2*p - 1427. Let q(c) = 90*c - 2. What is q(i(k))?", "a": "-540*k**2 - 180*k - 128432" }, { "q": "Let q(i) = -i. Let n(d) be the first derivative of 727*d**2/2 + 452. What is n(q(h))?", "a": "-727*h" }, { "q": "Let x(n) = 8822510*n**2. Let b(j) = j**2. Give x(b(g)).", "a": "8822510*g**4" }, { "q": "Let y(l) = -43450*l**2. Let q(s) = 10*s. Give y(q(i)).", "a": "-4345000*i**2" }, { "q": "Let r(k) be the second derivative of -k**3/3 + k - 181. Let b(v) = 1031*v. Calculate r(b(l)).", "a": "-2062*l" }, { "q": "Let s(z) = -1651*z**2. Let d(l) = -469*l + 1. Give d(s(q)).", "a": "774319*q**2 + 1" }, { "q": "Let j(a) be the first derivative of -a**3/3 + 898. Let b(s) = -3*s + 79. Give b(j(p)).", "a": "3*p**2 + 79" }, { "q": "Let i(y) = -y**2. Let n(r) be the second derivative of 1/2*r**2 - 11/6*r**3 + 0 - 48*r. Calculate i(n(c)).", "a": "-121*c**2 + 22*c - 1" }, { "q": "Let s(i) = i. Let l(d) = -2273986*d**2 + d. Calculate s(l(a)).", "a": "-2273986*a**2 + a" }, { "q": "Let g = -20 - -59. Let w(f) = 37*f - 74*f + g*f. Let a(n) be the second derivative of -n**4/3 - 2*n. Determine w(a(j)).", "a": "-8*j**2" }, { "q": "Let z(f) = -11*f + 6 - 6. Let a(d) = 22*d. Let k be -3 + 5/10*28/2. Let l(m) = k*a(m) + 9*z(m). Let i(h) = h**2. Give i(l(s)).", "a": "121*s**2" }, { "q": "Let b(k) be the first derivative of -11*k**3/6 + 43*k + 63. Let f(n) be the first derivative of b(n). Let i(l) = 3*l**2. Give i(f(q)).", "a": "363*q**2" }, { "q": "Let o(s) = 365*s. Let b(a) be the second derivative of -a**4/3 - 2*a + 5. Give b(o(r)).", "a": "-532900*r**2" }, { "q": "Let k(s) = -213*s**2. Let p(r) = -3432*r + 1716*r + 1716*r - 6*r**2 - 3*r**2. Give p(k(i)).", "a": "-408321*i**4" }, { "q": "Let f(j) = j**2. Let v(a) = a - 1. Let i(y) = -176*y - 5 + 148*y + 27. Let t(c) = 6*i(c) + 132*v(c). Determine f(t(z)).", "a": "1296*z**2" }, { "q": "Let l(j) = 27*j + 2. Let k(g) be the third derivative of 7*g**5/60 - 41*g**2 - 9*g. Give k(l(r)).", "a": "5103*r**2 + 756*r + 28" }, { "q": "Let w(d) be the third derivative of -2*d**5/15 + d**4/24 + 552*d**2. Let c(t) = -27*t. Calculate c(w(h)).", "a": "216*h**2 - 27*h" }, { "q": "Let a(d) = 38 - 125*d + 83*d - 38 - 104*d. Let z(k) = -k. Give a(z(m)).", "a": "146*m" }, { "q": "Let b(s) be the first derivative of 14*s**3 + 1. Let u(p) = 7*p**2 - 22. Let j(q) = 32*q**2 - 99. Let f(t) = 2*j(t) - 9*u(t). Determine b(f(c)).", "a": "42*c**4" }, { "q": "Let r(u) = -33*u + 544*u + 752*u + 277*u + 246*u. Let x(n) = 2*n. What is x(r(m))?", "a": "3572*m" }, { "q": "Let s(i) be the first derivative of 4*i**3/3 - 1531. Let h(g) be the third derivative of 7*g**4/6 + g**2. Calculate h(s(l)).", "a": "112*l**2" }, { "q": "Let v(c) = -4*c. Let z(s) = 854388*s. Determine v(z(y)).", "a": "-3417552*y" }, { "q": "Let t(j) = -2782*j**2. Let v(d) = 1389*d**2. Let p(g) = 4*t(g) + 9*v(g). Let m(o) = -o**2. Determine p(m(b)).", "a": "1373*b**4" }, { "q": "Let n(l) = 6*l**2 - 10*l - 30. Let i(b) = 32*b. Give n(i(r)).", "a": "6144*r**2 - 320*r - 30" }, { "q": "Let l(o) = -6938*o. Let t(z) = -2314*z**2. Calculate l(t(m)).", "a": "16054532*m**2" }, { "q": "Let n(t) = -4*t**2 - 3*t. Let w(g) = -3*g**2 - 3*g. Let a(j) = -5*n(j) + 6*w(j). Let c(l) = 1. Let x(r) = 2*r + 6. Let m(y) = 6*c(y) - x(y). What is m(a(z))?", "a": "-4*z**2 + 6*z" }, { "q": "Let b(i) = -3*i**2. Let r(n) = 697200*n. Calculate r(b(d)).", "a": "-2091600*d**2" }, { "q": "Let s(r) = -575*r**2. Let z(m) = -156*m. What is s(z(o))?", "a": "-13993200*o**2" }, { "q": "Let b(w) = -41*w - 15. Let f(p) = 2903*p + 2. Give f(b(k)).", "a": "-119023*k - 43543" }, { "q": "Let p(q) = 602*q**2. Let x(c) = -4825*c**2. Calculate x(p(n)).", "a": "-1748599300*n**4" }, { "q": "Let q(b) = -2*b**2 + 3*b - 4. Let f(n) = 5*n**2 + 6*n - 8. Let g(d) = -3*f(d) + 6*q(d). Let h(a) = 50*a. Calculate h(g(u)).", "a": "-1350*u**2" }, { "q": "Let r(s) = -2 + 2 - 48*s. Let d(l) = 7*l. Let q = 456 + -483. Let o(k) = q*d(k) - 4*r(k). Let f(z) = 8*z**2. Give f(o(a)).", "a": "72*a**2" }, { "q": "Let y(o) = 3*o**2 + 1. Let i(l) = -l**2. Let h(w) = -7*i(w) - 3*y(w). Let x(g) = 3*g**2 + 4. Let z(t) = 4*h(t) + 3*x(t). Let v(d) = 5*d + 3. Calculate v(z(k)).", "a": "5*k**2 + 3" }, { "q": "Let a(r) = -519*r**2. Let w(n) = 24885*n. Determine a(w(b)).", "a": "-321397613775*b**2" }, { "q": "Let j(f) = 26884*f. Let l(o) = -167*o. Determine l(j(u)).", "a": "-4489628*u" }, { "q": "Let v(n) = -1296626*n**2. Let f(z) = 3*z**2. What is f(v(q))?", "a": "5043716951628*q**4" }, { "q": "Let b(z) = -17*z + 16*z + 3*z. Let r(j) = -16*j**2 - 10*j - 10. Suppose 4 + 26 = 3*y. Let l(v) = -5*v**2 - 3*v - 3. Let d(q) = y*l(q) - 3*r(q). What is d(b(k))?", "a": "-8*k**2" }, { "q": "Let h(n) = 34*n. Let d(j) = -49*j**2 - 9*j - 6. Let a(x) = 496*x**2 + 93*x + 62. Let m(p) = 3*a(p) + 31*d(p). Give h(m(z)).", "a": "-1054*z**2" }, { "q": "Suppose l - 4*l + 6 = 0. Let h(z) = l*z + 5*z - 8*z. Let o(b) = 11*b + 4. Let i(n) = -65*n - 25. Let a(r) = -4*i(r) - 25*o(r). What is a(h(p))?", "a": "15*p" }, { "q": "Let s(g) = -509*g**2. Let h(r) = -r - 68. Let y(i) = -17. Let x(l) = -h(l) + 4*y(l). What is s(x(a))?", "a": "-509*a**2" }, { "q": "Let v(x) = 7*x + 1. Let m be v(1). Suppose -86 = -4*n + 6*o - 8*o, 0 = -3*n + 3*o + 51. Let j(l) = m*l - n*l + 11*l. Let b(t) = -23*t**2. What is j(b(z))?", "a": "23*z**2" }, { "q": "Let w(z) = -9089932*z. Let u(x) = 2*x. What is w(u(t))?", "a": "-18179864*t" }, { "q": "Let g(d) = 1141166*d - 8. Let s(a) = -a. Calculate s(g(m)).", "a": "-1141166*m + 8" }, { "q": "Let f(a) = 15*a**2. Let c = -18 - -23. Suppose -10*w = -15*w + 10. Let p(t) = 6*t**2 + w*t - 2*t - c*t**2. Determine p(f(u)).", "a": "225*u**4" }, { "q": "Let a(z) = -35302*z**2. Let i(u) = -527*u. What is a(i(r))?", "a": "-9804389158*r**2" }, { "q": "Let n(m) = 53073*m. Let q(c) = 3*c**2 - 1. Determine n(q(p)).", "a": "159219*p**2 - 53073" }, { "q": "Let j(x) = 2127*x + 282. Let v(n) = -3*n**2. Calculate j(v(g)).", "a": "-6381*g**2 + 282" }, { "q": "Let b(g) = 8*g**2. Let r(d) = -1457499*d**2. Determine r(b(a)).", "a": "-93279936*a**4" }, { "q": "Let x(b) = -1. Suppose -47 = -5*k + 203. Let p = 51 - k. Let y(i) = -2*i**2 + 10. Let s(n) = p*y(n) + 10*x(n). Let u(m) = 12*m**2. What is s(u(o))?", "a": "-288*o**4" }, { "q": "Let y(v) = -1247*v. Let t(d) = -4482*d + 2. Determine t(y(r)).", "a": "5589054*r + 2" }, { "q": "Let i(n) = 6*n + 2. Let c(k) = 2*k + 1. Let h(r) = -2*c(r) + i(r). Let j(z) = -100*z - 7. Let a(w) = 50*w + 3. Let s(t) = -9*a(t) - 4*j(t). Give h(s(g)).", "a": "-100*g + 2" }, { "q": "Let o(n) = n. Let d(f) = -f**2 + 3*f. Let c(p) = d(p) - 3*o(p). Let i(u) = 2*u**2 - 249*u. Determine i(c(y)).", "a": "2*y**4 + 249*y**2" }, { "q": "Let z(g) be the third derivative of 0*g - 31*g**2 + 3/8*g**4 + 0*g**3 + 0. Let x(n) be the third derivative of n**4/12 + 2*n**2. Give z(x(h)).", "a": "18*h" }, { "q": "Let a(u) = -u. Let r(i) be the third derivative of i**5/5 - i**4/3 - i**3/3 - i**2. Let z be r(-6). Let g(h) = -z + h + 478. Determine a(g(d)).", "a": "-d" }, { "q": "Let k(m) be the first derivative of m**3/2 + 45*m - 38. Let l(f) be the first derivative of k(f). Let n(d) = 6*d + 1. Give l(n(t)).", "a": "18*t + 3" }, { "q": "Let h(w) = 83*w. Let k(t) = -1860*t**2 + 7. Give k(h(x)).", "a": "-12813540*x**2 + 7" }, { "q": "Let r(x) = -11*x**2 + 2*x + 14. Let y(c) = -75*c**2 + 15*c + 105. Let n(z) = -15*r(z) + 2*y(z). Let v(w) = -29*w. What is n(v(a))?", "a": "12615*a**2" }, { "q": "Suppose 3*j + 12 = 0, 3*p + 2*p = -4*j - 6. Let m(h) = -6 - 10 + p*h - 13 - 26. Let r(b) = -2*b**2. What is r(m(t))?", "a": "-8*t**2 + 440*t - 6050" }, { "q": "Let u(b) = 3*b**2 + 11. Let h(q) be the second derivative of q**5/120 + q**3/6 + 4*q**2 - q + 9. Let x(z) be the second derivative of h(z). Determine u(x(v)).", "a": "3*v**2 + 11" }, { "q": "Let u(n) be the second derivative of -2249*n**3/6 + 881*n. Let t(i) = -i. Give u(t(z)).", "a": "2249*z" }, { "q": "Let k(w) be the second derivative of -5*w**4/12 - w**2/2 + 244*w. Let s(g) = 8*g**2. Calculate s(k(m)).", "a": "200*m**4 + 80*m**2 + 8" }, { "q": "Let l(m) be the first derivative of -6*m**2 + 4*m**2 + 168 - 14*m + 3*m**2 - 167. Let c(w) = 2*w. Calculate c(l(f)).", "a": "4*f - 28" }, { "q": "Let v(d) = -28*d. Let o(b) = -82*b**2 + 7 + 45 - 52. Give o(v(l)).", "a": "-64288*l**2" }, { "q": "Let m(p) = 4*p. Let d(s) = -10516*s**2 + 330*s. Let b(k) = 809*k**2 - 25*k. Let q(u) = 66*b(u) + 5*d(u). Calculate q(m(c)).", "a": "13024*c**2" }, { "q": "Let j(x) be the second derivative of 0*x**3 + 0 + 7/6*x**4 + 0*x**2 + x. Let u(t) = -2*t**2. What is j(u(b))?", "a": "56*b**4" }, { "q": "Let w(l) = 4*l. Let p(v) = 68662*v**2 + 2*v. Calculate w(p(b)).", "a": "274648*b**2 + 8*b" }, { "q": "Let t(r) = -3*r**2. Let m(w) be the second derivative of 151*w**4/12 - w**2 + 3*w + 296. Give t(m(l)).", "a": "-68403*l**4 + 1812*l**2 - 12" }, { "q": "Let h(i) = 401*i. Let c(t) be the second derivative of -t**3/6 + 478*t. Give h(c(a)).", "a": "-401*a" }, { "q": "Let z(k) = -4*k**2 + 29*k - 33. Let r(c) = -2*c**2 + 15*c - 18. Let v(i) = -11*r(i) + 6*z(i). Let d(l) = -2*l**2. Calculate d(v(m)).", "a": "-8*m**4 + 72*m**3 - 162*m**2" }, { "q": "Let x(r) = 25*r + 1. Let j(w) be the second derivative of 13*w**3/6 + w**2/2 - 5*w. Let u(k) = -5*j(k) + 3*x(k). Let v(g) = -2*g. Calculate v(u(f)).", "a": "-20*f + 4" }, { "q": "Let t(s) = 32*s**2 - 4*s - 48*s**2 + 33*s**2 + 21*s**2. Let y(q) = q. Calculate t(y(p)).", "a": "38*p**2 - 4*p" }, { "q": "Let y(f) = 2*f**2. Let l(o) = -3661845*o**2. What is y(l(m))?", "a": "26818217608050*m**4" }, { "q": "Let u(i) = -1106*i + 15. Let a(z) = 276*z - 4. Let o(h) = 11*a(h) + 3*u(h). Let q(r) = r. Calculate o(q(t)).", "a": "-282*t + 1" }, { "q": "Let i = -16 - -22. Suppose 4*u - 3 = 5*n, -u - i*n = -n - 7. Let p(a) = 9*a - 5*a - a**u - 4*a. Let r(x) = -26*x**2. Give r(p(y)).", "a": "-26*y**4" }, { "q": "Let t(f) = 7*f - 281021 + 281021. Let y(u) = 63*u**2. What is y(t(s))?", "a": "3087*s**2" }, { "q": "Let x(q) = 14*q. Let n(r) = 17*r. Suppose -2*t = 2*t - 20. Let y(s) = t*n(s) - 6*x(s). Let z(p) = -16*p**2 - 3. What is y(z(i))?", "a": "-16*i**2 - 3" }, { "q": "Let z(o) = 533*o. Let j(x) = -6 + 6 - 4*x**2 + 584*x - 584*x. Determine j(z(l)).", "a": "-1136356*l**2" }, { "q": "Let l(r) be the third derivative of 0*r**4 + 0*r**3 - 29/60*r**5 + 0 + 73*r**2 + 0*r. Let a(w) = w. Give l(a(p)).", "a": "-29*p**2" }, { "q": "Let v(m) = 4*m + 665. Let h(g) = -212*g. What is h(v(i))?", "a": "-848*i - 140980" }, { "q": "Let z(h) = 2. Let k(o) = -o + 11. Let x(a) = 2*k(a) - 11*z(a). Let b = 171 + -167. Let w(y) = 16*y - b*y + 25*y. Determine w(x(f)).", "a": "-74*f" }, { "q": "Let j = -8 + 1. Let y(v) = 3*v + 7. Let b(t) = 2*t + 5. Let r(l) = j*b(l) + 5*y(l). Let z(x) be the second derivative of 9*x**4/4 + 28*x + 3. Calculate z(r(k)).", "a": "27*k**2" }, { "q": "Let v(r) = 44*r + 1849. Let t(x) = -8*x**2. Determine v(t(j)).", "a": "-352*j**2 + 1849" }, { "q": "Let n(m) be the second derivative of 9*m**3 - 3*m**2/2 - 48*m. Let g(w) = 164*w - 10. Let r(h) = 3*g(h) - 10*n(h). Let c(x) = x. Determine r(c(q)).", "a": "-48*q" }, { "q": "Let i(c) = c. Let p(y) = -y - 2. Let g(t) be the first derivative of 1 + 7 + 2*t**2 + 3 + 2*t + 9*t. Let b(x) = 2*g(x) + 11*p(x). What is b(i(o))?", "a": "-3*o" }, { "q": "Let k(i) be the second derivative of 5*i**4/4 - i. Let o(d) = 2*d + 1391 - 2763 + 1372. What is k(o(a))?", "a": "60*a**2" }, { "q": "Let s(z) = z**2 + z - z + 3*z**2. Let u(l) = -4 - 5 - 12*l + 2*l**2 + 21*l - 17*l**2. Let i(n) = 7*n**2 - 4*n + 4. Let w(f) = 9*i(f) + 4*u(f). What is s(w(m))?", "a": "36*m**4" }, { "q": "Let p(r) = 4*r**2. Let x(v) = 4*v**2 - 93159*v. Calculate x(p(u)).", "a": "64*u**4 - 372636*u**2" }, { "q": "Let j(y) = -3*y + 50. Let f be j(16). Let k(g) = -f*g + 3*g - 3*g. Let p(o) = 72*o**2. Give p(k(z)).", "a": "288*z**2" }, { "q": "Let m(p) = 364*p**2. Let l(h) = -5*h**2 + 2. What is m(l(o))?", "a": "9100*o**4 - 7280*o**2 + 1456" }, { "q": "Let h(g) = 35*g**2. Let j(a) = -a - 11. Let k(i) = 13*i + 66. Let v(o) = 6*j(o) + k(o). Calculate v(h(m)).", "a": "245*m**2" }, { "q": "Let a(x) = -7*x + 16. Let t(h) = -4*h + 12. Let m(q) = -3*a(q) + 4*t(q). Let r(l) = -20*l - 6. Calculate m(r(k)).", "a": "-100*k - 30" }, { "q": "Let o(q) = -5*q**2. Let f be (1/(-4))/(3/(-36)). Suppose n = 4*l - 8, 2*l + f*n + 0 = 4. Let t(p) = -50*p**2 + 45*p**l - 1 + 1. Calculate o(t(r)).", "a": "-125*r**4" }, { "q": "Let b(x) = -2*x**2 - 154 + 167 + 0*x**2 - 86 + 6*x**2. Let o(u) = 4*u**2. Give b(o(i)).", "a": "64*i**4 - 73" }, { "q": "Let i(v) = -2*v**2 - 612*v. Let s(d) = -68*d - 33. Give s(i(x)).", "a": "136*x**2 + 41616*x - 33" }, { "q": "Let z(o) = -o**2. Let u(l) = 5457743*l. Determine u(z(s)).", "a": "-5457743*s**2" }, { "q": "Let o(w) = 0*w - 13*w - 7*w. Let q(f) = 3*f + 2. Let g(z) = 2*z + 1. Let i(b) = -2*g(b) + q(b). What is i(o(y))?", "a": "20*y" }, { "q": "Let o(k) be the second derivative of -2*k**4/3 - 830*k. Let n(h) = -147*h. Determine o(n(v)).", "a": "-172872*v**2" }, { "q": "Let t(r) = 21*r**2. Suppose 7*a - 2*p - 41 = 6*a, -209 = -4*a - p. Let j(x) = 2*x**2 - 29 - 22 + a. Determine j(t(i)).", "a": "882*i**4" }, { "q": "Let a(t) = -13*t. Let g(d) = -2*d**2 + 4554*d + 1. What is a(g(p))?", "a": "26*p**2 - 59202*p - 13" }, { "q": "Let v(g) = -g**2 - 3*g. Let l(u) = -2*u. Let w(r) = 3*l(r) - 2*v(r). Let t(b) = 53*b**2 - 105*b**2 + 49*b**2. Give w(t(o)).", "a": "18*o**4" }, { "q": "Let y = 189 - 203. Let g(a) = 2*a**2 - 5*a - 5. Let d(v) = -6*v**2 + 14*v + 14. Let n(w) = y*g(w) - 5*d(w). Let f(z) = 17*z**2. Give n(f(j)).", "a": "578*j**4" }, { "q": "Let c(p) = 307*p**2 - 3*p. Let l(k) = 191*k**2. What is c(l(m))?", "a": "11199667*m**4 - 573*m**2" }, { "q": "Let u(h) be the second derivative of -h**3/6 + h - 50. Let f(j) = j. Let k(p) = 5*p**2 + 2*p. Let t(g) = -2*f(g) + k(g). Calculate u(t(y)).", "a": "-5*y**2" }, { "q": "Let f(k) = 15*k. Let h(b) = -359581*b. What is f(h(v))?", "a": "-5393715*v" }, { "q": "Let r(d) = -2*d. Let t(l) = 2*l**2 + 2589193*l + 3. Determine t(r(i)).", "a": "8*i**2 - 5178386*i + 3" }, { "q": "Let w(v) be the first derivative of 53*v**3/3 + 961. Let k(u) = -10*u. Determine k(w(o)).", "a": "-530*o**2" }, { "q": "Let b(q) = q. Let i(n) be the second derivative of 11*n**6/90 - 61*n**3/6 + 3*n - 1. Let k(o) be the second derivative of i(o). What is b(k(r))?", "a": "44*r**2" }, { "q": "Let w(d) = -2*d. Let g(p) = -2388583*p**2. Determine w(g(x)).", "a": "4777166*x**2" }, { "q": "Let h(o) = -19*o**2 + 1956*o. Let v(r) = -83*r**2. What is h(v(f))?", "a": "-130891*f**4 - 162348*f**2" }, { "q": "Let u(p) = -13*p**2. Let q(l) be the third derivative of -7*l**5/120 + 11*l**3/6 + 29*l**2. Let f(k) be the first derivative of q(k). Determine u(f(g)).", "a": "-637*g**2" }, { "q": "Let q(a) = 12*a + 2*a**2 - 12*a + 0*a - 10*a**2. Let z(u) be the third derivative of u**5/10 - 15*u**2. What is q(z(n))?", "a": "-288*n**4" }, { "q": "Suppose -8*y + 13 = 5. Let r be (-16)/(-72) + 32/18. Let t(q) = -6*q**r + 1 + 5*q**2 - y. Let k(l) = 6*l**2. What is k(t(c))?", "a": "6*c**4" }, { "q": "Let g(m) = 19*m + 1 - 1. Suppose -20271 = -2*s - 4*d + 37619, 3*s - d - 86863 = 0. Let x(a) = 28953 - s + 2*a. Determine x(g(c)).", "a": "38*c" }, { "q": "Let k(o) = 4167*o. Let n(b) = 2621*b. Determine n(k(h)).", "a": "10921707*h" }, { "q": "Let t(x) be the third derivative of x**5/20 + 1130*x**2. Let j(k) = -320*k**2. Calculate j(t(o)).", "a": "-2880*o**4" }, { "q": "Let s(d) = -d**2. Let k(h) = 3*h**2. Let l(n) = k(n) - 18*s(n). Let y(b) be the third derivative of b**4/8 - 2534*b**2 - 2. What is y(l(z))?", "a": "63*z**2" }, { "q": "Let q(u) = -260*u**2 + 156*u**2 + 121*u**2. Let x(l) = -16*l - 3. Give q(x(n)).", "a": "4352*n**2 + 1632*n + 153" }, { "q": "Let i(c) = 9747*c - 5116*c - 5340*c. Let a(d) = -d**2. Give i(a(f)).", "a": "709*f**2" }, { "q": "Let y(h) be the first derivative of -h**5/20 + 3*h**2/2 - 1. Let u(l) be the second derivative of y(l). Let s(n) = -14*n**2 - 7*n**2 + 13*n**2. Give u(s(m)).", "a": "-192*m**4" }, { "q": "Let r(i) = 2036*i**2. Let x(y) = 2074*y. Give x(r(n)).", "a": "4222664*n**2" }, { "q": "Let h(f) be the third derivative of 2*f**5/15 - f**2 - 33*f. Let n(b) be the second derivative of -b**4/3 - b - 17. Determine n(h(v)).", "a": "-256*v**4" }, { "q": "Let p(n) = -16*n**2. Let t(u) be the third derivative of 0*u**3 + 0 - 1/60*u**5 + 0*u**4 - 32*u**2 + 0*u. Calculate p(t(i)).", "a": "-16*i**4" }, { "q": "Let y(h) = -3*h. Suppose m + 15 = -3*l + 87, -5*l = 2*m - 120. Let a(x) = -4 - l*x + 1 + 3. Determine y(a(v)).", "a": "72*v" }, { "q": "Let r(m) be the second derivative of 13*m**5/120 + 15*m**3/2 + 15*m. Let u(l) be the second derivative of r(l). Let c(t) = t + 3*t - 2*t + 0*t. Give c(u(h)).", "a": "26*h" }, { "q": "Let x(u) = -2*u + 20. Let q(y) = -5*y + 55. Let a(r) = 4*q(r) - 11*x(r). Let o(m) be the second derivative of -m**4/12 + 4*m**3/3 + 9*m. Calculate a(o(z)).", "a": "-2*z**2 + 16*z" }, { "q": "Let k(d) = 2*d. Let u(y) = 1815*y**2 - 198*y + 3. Determine u(k(l)).", "a": "7260*l**2 - 396*l + 3" }, { "q": "Let t(c) = 10*c - 2. Let y(o) = 99*o - 21. Let h(f) = -21*t(f) + 2*y(f). Let l(n) = -7*n + 1334 - 2635 + 1301. Give h(l(j)).", "a": "84*j" }, { "q": "Let i(j) = -1086940*j. Let d(a) = -4*a**2. What is i(d(g))?", "a": "4347760*g**2" }, { "q": "Let a(f) = -32688*f**2. Let g(c) = -34*c. Determine g(a(q)).", "a": "1111392*q**2" }, { "q": "Suppose 0 = 5*t - 137 - 8. Let z(q) = -9 + 5 - t*q + 4. Let b(p) be the third derivative of p**4/12 - 13*p**2. What is b(z(j))?", "a": "-58*j" }, { "q": "Let s(i) = -37060*i - 1. Let y(m) = -34*m. Determine s(y(c)).", "a": "1260040*c - 1" }, { "q": "Let v(l) = -3*l**2. Let y be 26 + (2 + -5)/(-1). Let c(m) = 11*m**2 + 30 + y - 59. Determine c(v(z)).", "a": "99*z**4" }, { "q": "Let m(z) = 1593*z**2 - 6 + 6 - 1595*z**2. Let b(l) = 7*l - 24. Calculate b(m(t)).", "a": "-14*t**2 - 24" }, { "q": "Let k(t) = -14*t. Suppose 26*x - 219 = -141. Let q(a) be the third derivative of 0 + 17*a**2 + 0*a + 1/12*a**4 + 0*a**x. Give k(q(h)).", "a": "-28*h" }, { "q": "Let n(o) = -3*o. Let u(t) = 3*t**2. Let j = 48 + -49. Let d = 4 - j. Let f(g) = 2*g**2. Let y(h) = d*u(h) - 8*f(h). Give y(n(c)).", "a": "-9*c**2" }, { "q": "Let d(o) = 73*o**2 + 21 - 7*o - 136*o**2 - 35*o. Let z(f) = f**2 + 2*f - 1. Let w(a) = -d(a) - 21*z(a). Let i(m) = 4*m. Determine i(w(l)).", "a": "168*l**2" }, { "q": "Let i(a) = -2. Let t(q) = -2*q - 8. Let w be 8/(-6) + 26/(-39) - 2. Let d(x) = w*i(x) + t(x). Let c(l) = 51*l**2. Give d(c(s)).", "a": "-102*s**2" }, { "q": "Let u(x) = 38*x. Let a(g) = 166*g + 4. Let i(b) = 296*b + 7. Let d(y) = -7*a(y) + 4*i(y). What is d(u(h))?", "a": "836*h" }, { "q": "Let x(y) be the third derivative of -5*y**4/6 - 7*y**2. Let f(h) = -9*h + 7. Let l(k) = -5*k + 4. Let p = 49 - 53. Let a(s) = p*f(s) + 7*l(s). Give x(a(q)).", "a": "-20*q" }, { "q": "Let q(x) be the second derivative of -14*x - 11*x + 43*x + x**3 + 1 - 8*x. Let l(t) = 2 - 2 + t**2. Determine q(l(s)).", "a": "6*s**2" }, { "q": "Let b(r) = 75*r. Let h(c) be the third derivative of -3*c**5/10 + 1490*c**2. Calculate h(b(o)).", "a": "-101250*o**2" }, { "q": "Let m(p) = -p**2 - 15. Let a(d) = 4*d + 11343. What is m(a(c))?", "a": "-16*c**2 - 90744*c - 128663664" }, { "q": "Suppose -5*w = 335 - 9985. Let i(n) = -1930*n - 17*n**2 + w*n. Let s(g) = -g**2 + 2*g - 2*g. What is i(s(b))?", "a": "-17*b**4" }, { "q": "Let f(z) = -18*z. Let u be 12 - (1 + -2)*(-3 + 2). Let h(k) = -k - 7*k + 3*k + u*k. Determine f(h(l)).", "a": "-108*l" }, { "q": "Let l(b) = 298*b**2. Let n(k) = -2209*k**2 - k. Determine n(l(x)).", "a": "-196168036*x**4 - 298*x**2" }, { "q": "Let r(a) = -3*a**2. Let p(l) be the second derivative of -11/4*l**4 - 8*l + 0*l**2 + 0 + 0*l**3. What is p(r(c))?", "a": "-297*c**4" }, { "q": "Let m(w) = -4*w - 11 - 6 - 9 + 26. Let l(k) = -7*k**2 - 2*k. Determine l(m(q)).", "a": "-112*q**2 + 8*q" }, { "q": "Let o(t) = 11*t. Let g(d) be the second derivative of d**4/4 + 243*d. Determine o(g(n)).", "a": "33*n**2" }, { "q": "Let o(u) = -28*u**2. Let g(t) = -111*t**2. Let n(y) = 6*g(y) - 22*o(y). Let m(h) = h. Calculate n(m(f)).", "a": "-50*f**2" }, { "q": "Let n(y) be the first derivative of -66 + 36*y + 0*y**2 - 2/3*y**3. Let h(p) = -p. Determine h(n(a)).", "a": "2*a**2 - 36" }, { "q": "Let g(m) = -21*m. Let n(c) = -10*c**2 + 9*c + 25*c + 16*c**2 + 21*c**2 - 26*c**2. Determine n(g(q)).", "a": "441*q**2 - 714*q" }, { "q": "Let l(v) be the second derivative of v**4/3 - v**3/3 - v**2 - 31*v. Let q(a) = a**2 - a - 1. Let u(k) = -l(k) + 2*q(k). Let f(t) = 41*t**2. Calculate u(f(y)).", "a": "-3362*y**4" }, { "q": "Let n(j) = -3*j**2. Let u(w) be the second derivative of -w**6/180 - w**3/3 - 3*w**2/2 + w - 33. Let d(c) be the second derivative of u(c). Calculate d(n(y)).", "a": "-18*y**4" }, { "q": "Let t(f) = 14*f**2. Let c(a) be the first derivative of -a**5/12 - 4*a**2 + 2*a + 55. Let r(o) be the second derivative of c(o). Determine r(t(p)).", "a": "-980*p**4" }, { "q": "Let i(c) = -1300*c - 1349*c - 3*c**2 + 2677*c. Let u(w) = 6*w. What is i(u(p))?", "a": "-108*p**2 + 168*p" }, { "q": "Let u(b) = 2657*b. Let m(f) be the second derivative of -f**3/6 - 26*f + 5. Give m(u(v)).", "a": "-2657*v" }, { "q": "Let v(k) = 61*k**2. Let u(z) = -410*z**2 + 802*z**2 - 404*z**2. Give u(v(t)).", "a": "-44652*t**4" }, { "q": "Let z(s) = -s. Let x(i) = -3*i. Let r = -2438 + 2447. Suppose 5 = -2*b + 1. Let g(l) = b*x(l) + r*z(l). Let t(f) = f**2. Calculate t(g(j)).", "a": "9*j**2" }, { "q": "Let m(b) = 9*b. Let k(y) = -60*y + 216 - 656 + y**2 + 220 + 220. Calculate k(m(g)).", "a": "81*g**2 - 540*g" }, { "q": "Let g(x) be the second derivative of -9*x**3 - 39*x. Let p(v) = 36*v. Let l(n) = 5*g(n) + 8*p(n). Let f(o) = 6*o. Determine f(l(t)).", "a": "108*t" }, { "q": "Let k(m) = 249*m**2 + 3729*m. Let l(t) = -4*t. Calculate l(k(s)).", "a": "-996*s**2 - 14916*s" }, { "q": "Let s(m) = -m. Let y(l) be the third derivative of -l**6/720 - 17*l**5/120 + 59*l**4/24 - 36*l**2. Let k(x) be the second derivative of y(x). Determine s(k(q)).", "a": "q + 17" }, { "q": "Let t(s) = -6928339*s + 2. Let v(z) = -z. Calculate v(t(w)).", "a": "6928339*w - 2" }, { "q": "Let x(j) be the second derivative of -39 + 0*j**2 - j - 1/12*j**4 + 0*j**3. Let z(r) be the second derivative of -r**4/3 + r. Determine x(z(m)).", "a": "-16*m**4" }, { "q": "Let u(g) = -17*g**2 - g. Let i(f) be the third derivative of -f**5/15 + 145*f**2 + 4. Give i(u(r)).", "a": "-1156*r**4 - 136*r**3 - 4*r**2" }, { "q": "Let i(d) = 4*d**2. Let c(y) be the second derivative of -27*y**3/2 + 198*y. Give i(c(b)).", "a": "26244*b**2" }, { "q": "Let a(l) be the second derivative of 0*l**3 + 0*l**2 - 31/6*l**4 - 63*l + 0. Let b(g) = 2*g. Determine a(b(z)).", "a": "-248*z**2" }, { "q": "Let t(c) be the third derivative of c**5/12 - 596*c**2. Let n(q) = -65*q. Give n(t(m)).", "a": "-325*m**2" }, { "q": "Let t be (5 + -6)/(-1)*2. Let m(a) = 67*a + 3*a**t - 33*a - 34*a. Let s(r) = -4*r**2 - r**2 + 4*r**2. Determine m(s(q)).", "a": "3*q**4" }, { "q": "Let i(p) = -p + 1. Let x be i(-4). Suppose -17 + x = -2*y. Let z(a) = y*a**2 - 2*a**2 - 5*a**2. Let q(g) = g**2. Determine z(q(r)).", "a": "-r**4" }, { "q": "Let t = 36 + 30. Let a(k) = -115 + t + 58 + 2*k. Let n(h) = 3*h. Give a(n(s)).", "a": "6*s + 9" }, { "q": "Let c(k) = 2*k**2. Let g(u) = -5*u**2 + u + 2. Let h(n) = 188*n**2 - 28*n - 48. Let i(q) = 24*g(q) + h(q). What is i(c(f))?", "a": "272*f**4 - 8*f**2" }, { "q": "Let p(k) = -11*k + 12. Let j(y) = -24*y + 26. Let n(z) = -6*j(z) + 13*p(z). Let x(q) be the second derivative of 11*q**4/12 - 8*q. Give x(n(h)).", "a": "11*h**2" }, { "q": "Let s(b) = 16*b**2 + 1. Let v(q) = 2*q**2 - 9791*q. Give v(s(x)).", "a": "512*x**4 - 156592*x**2 - 9789" }, { "q": "Let x(t) = -3*t. Let j(v) = 3754*v + 13. Let s(g) = -625*g - 2. Let q(r) = -2*j(r) - 13*s(r). Give q(x(m)).", "a": "-1851*m" }, { "q": "Let p(w) = 11*w**2 + 24. Let c(h) = 7*h**2 + 15. Let y(d) = 8*c(d) - 5*p(d). Let u(r) = r + 220. Give u(y(k)).", "a": "k**2 + 220" }, { "q": "Let q(o) = -8872285*o**2. Let g(b) = 2*b**2. Calculate q(g(n)).", "a": "-35489140*n**4" }, { "q": "Let q(d) = -2*d**2. Let x(t) = 105*t - 77. Suppose -w - 158 = 2*s, -2*s - 219 = s - 3*w. Let a(i) = 8*i - 6. Let p(l) = s*a(l) + 6*x(l). Give q(p(k)).", "a": "-392*k**2" }, { "q": "Let q(l) = 7*l. Let c(f) be the third derivative of f**5/60 + 3*f**4/4 + 2*f**2 + 497*f. Give q(c(h)).", "a": "7*h**2 + 126*h" }, { "q": "Let v(k) = -153*k. Let l(i) be the second derivative of i**3/6 - 749*i. Determine l(v(s)).", "a": "-153*s" }, { "q": "Let g(l) = 226055*l. Let y(r) = r + 17. Give y(g(p)).", "a": "226055*p + 17" }, { "q": "Let t(a) = 35*a + 15. Let q(n) = 9*n + 4. Let w(z) = -15*q(z) + 4*t(z). Let b = 25 - -64. Let h(d) = b*d**2 - 28*d**2 - 31*d**2 - 32*d**2. Determine h(w(v)).", "a": "-50*v**2" }, { "q": "Let l(o) = -19*o. Let d(g) = -17*g**2 + 20788*g - 20788*g. Determine l(d(h)).", "a": "323*h**2" }, { "q": "Let i(f) = -5547*f. Let o(d) = -638*d**2. What is o(i(r))?", "a": "-19630755342*r**2" }, { "q": "Let v(i) = 141 + 2*i - i + 153 - 305 + 0*i - 3*i. Let k(l) = 3*l - 3*l + 2*l. Determine k(v(f)).", "a": "-4*f - 22" }, { "q": "Let j(i) = -1611*i. Let a(z) = -2*z - 59. Give a(j(r)).", "a": "3222*r - 59" }, { "q": "Let t(y) = -54685*y. Let p(l) = -60*l. Determine t(p(w)).", "a": "3281100*w" }, { "q": "Let z(c) = 47*c**2. Let l(y) be the first derivative of -6*y**3 + 20. What is z(l(d))?", "a": "15228*d**4" }, { "q": "Let w(m) = 5782*m. Let d(n) = -1320*n**2. Give d(w(t)).", "a": "-44129611680*t**2" }, { "q": "Let v(j) = -4*j. Let i(u) be the second derivative of -17*u**3/3 + 1155*u. Determine i(v(q)).", "a": "136*q" }, { "q": "Let n(t) = 12*t**2. Let v(x) = 155907*x**2 - 5*x. Give v(n(y)).", "a": "22450608*y**4 - 60*y**2" }, { "q": "Let l(o) be the first derivative of 121*o**2 + 373. Let b(m) = 3*m**2. Give b(l(i)).", "a": "175692*i**2" }, { "q": "Suppose -5*j - 8 = -j, 22 = 2*c + 2*j. Let o(m) = -10 + 10 - c*m + 14*m. Let a(b) be the second derivative of b**4/6 - 5*b. Calculate a(o(d)).", "a": "2*d**2" }, { "q": "Suppose -3*x + 2*v + 6 = -16, -3*x - 2*v + 14 = 0. Let p(f) be the first derivative of x + 2/3*f**3 + 0*f**2 + 0*f. Let s(n) = 7*n. What is s(p(a))?", "a": "14*a**2" }, { "q": "Let v(c) = -888*c**2. Let y(q) = 142*q + 155*q - 457*q + 158*q. Determine v(y(a)).", "a": "-3552*a**2" }, { "q": "Let v(x) be the first derivative of x**2 - 733. Let k(i) = -149*i**2. Determine k(v(b)).", "a": "-596*b**2" }, { "q": "Let y(s) = -22*s - 2. Let m(w) = 44*w + 5. Let j(g) = 2*m(g) + 5*y(g). Let c(t) be the first derivative of -2*t**3/3 + 3829. Give c(j(u)).", "a": "-968*u**2" }, { "q": "Let y(z) be the second derivative of z**3/2 - 58*z**2 - 560*z. Let d(k) = -3*k**2. Give d(y(o)).", "a": "-27*o**2 + 2088*o - 40368" }, { "q": "Let t(c) be the second derivative of 17/6*c**4 + 5*c + 0*c**3 + 0*c**2 + 0. Let q(v) be the second derivative of -v**3/3 - 13*v + 3. Give q(t(b)).", "a": "-68*b**2" }, { "q": "Let f(r) = 35*r + 3. Let x(d) = d**2 - d + 1. Let n(v) = -8*v**2 + 6*v - 6. Let p = 30 + -29. Let l(i) = p*n(i) + 6*x(i). Give f(l(k)).", "a": "-70*k**2 + 3" }, { "q": "Let s(x) = 2414*x. Let v(j) = -8382*j**2. Give v(s(l)).", "a": "-48845233272*l**2" }, { "q": "Let r(t) = 116*t. Let o(a) = 2*a**2 + 48*a + 2. Let x be o(-24). Let s(f) = x - 456*f - 2 + 458*f. Determine r(s(m)).", "a": "232*m" }, { "q": "Let s(b) be the third derivative of 0*b**3 + 0*b + 1/60*b**5 + 24*b**2 + 0*b**4 + 0. Let f(v) = 24*v. Calculate f(s(i)).", "a": "24*i**2" }, { "q": "Let j(n) = 12888 - 6439 + 3*n - 6443. Let g(o) = -3*o**2. Calculate j(g(i)).", "a": "-9*i**2 + 6" }, { "q": "Let d(n) = -n + 12. Let a(m) = 40*m**2 + 39*m**2 - 101*m**2 + 24*m**2. Give a(d(k)).", "a": "2*k**2 - 48*k + 288" }, { "q": "Let y(p) = -3*p**2. Let q(b) = -3*b**2 - 88*b - 18. Let k be q(-29). Let i(h) = h + 2. Let o be i(6). Let a(c) = -k - 11*c + 3 + o. Determine y(a(d)).", "a": "-363*d**2" }, { "q": "Let b(g) = 6917*g - 13846*g + 6949*g. Let n(s) = s**2 - 3*s + 3. Let w(h) = -4*h + 4. Let u(y) = 4*n(y) - 3*w(y). Determine b(u(m)).", "a": "80*m**2" }, { "q": "Let i(g) = 3*g**2 - 5*g + 5. Let p(o) = -4*o**2 + 7*o - 7. Let y(r) = 7*i(r) + 5*p(r). Let s(m) = 96*m - 49*m - 49*m. Calculate s(y(k)).", "a": "-2*k**2" }, { "q": "Let b(j) be the second derivative of j**3/3 - 923*j. Let a(w) = -5*w**2 + 7. Give b(a(q)).", "a": "-10*q**2 + 14" }, { "q": "Let v(w) = 2*w - 3*w - 2*w + w. Let a(o) be the first derivative of -13*o**5/60 + 7*o**2/2 - 12. Let g(b) be the second derivative of a(b). What is g(v(n))?", "a": "-52*n**2" }, { "q": "Let o(m) be the third derivative of 11*m**4/24 + 5*m**3/6 + 18*m**2. Let v(l) = -2*l + 1. Let j(q) = -o(q) + 3*v(q). Let t(n) = -n**2. Determine t(j(c)).", "a": "-289*c**2 - 68*c - 4" }, { "q": "Let h(q) = -q. Suppose -5*n = 4*s - 7, -n = 2*n - 4*s - 17. Let b(d) = 4*d**2 + n*d - 7*d + 0*d + 3*d. What is h(b(t))?", "a": "-4*t**2 + t" }, { "q": "Let u(n) = -2*n + 1. Let i be 6/39 - (-988)/169. Let j(g) = 33*g - 17. Let s(o) = i*j(o) + 102*u(o). Let q(a) = 6*a**2. What is q(s(c))?", "a": "216*c**2" }, { "q": "Let q(y) = -2*y + 0*y + 0*y. Let h(l) be the first derivative of l**3/2 + 51*l - 46. Let i(b) be the first derivative of h(b). Determine q(i(c)).", "a": "-6*c" }, { "q": "Let i(u) = 173*u + 2 - 92*u - 34*u. Let n(v) = 3*v**2. What is n(i(r))?", "a": "6627*r**2 + 564*r + 12" }, { "q": "Let q(c) be the third derivative of c**4/4 + 1004*c**2. Let d(f) = 71*f**2. Determine d(q(j)).", "a": "2556*j**2" }, { "q": "Let y(p) = 26186697*p. Let n(q) = -2*q. What is y(n(o))?", "a": "-52373394*o" }, { "q": "Let p(b) = 8*b - 1. Let d = 166 - 138. Let x(n) = 30*n + d*n - 60*n. What is p(x(v))?", "a": "-16*v - 1" }, { "q": "Let s(y) = 3*y. Let u(w) be the third derivative of 0*w + 0*w**3 + 0 + 8/15*w**5 + 73*w**2 + 0*w**4. Calculate u(s(v)).", "a": "288*v**2" }, { "q": "Let b(k) = -578361*k. Let i(y) = 23*y. Calculate i(b(n)).", "a": "-13302303*n" }, { "q": "Let x(v) = v**2. Let t(k) be the second derivative of -46*k + 0*k**2 + 0*k**3 + 0 + 9/4*k**4. Calculate t(x(q)).", "a": "27*q**4" }, { "q": "Let v(r) = -7150*r. Let q(y) = 675*y. Give v(q(h)).", "a": "-4826250*h" }, { "q": "Let i(m) be the first derivative of -m**5/30 + 5*m**3/6 - 59*m**2/2 - 14. Let q(p) be the second derivative of i(p). Let g(k) = 2*k**2. Calculate g(q(n)).", "a": "8*n**4 - 40*n**2 + 50" }, { "q": "Let m(k) be the second derivative of 0*k**2 + 0*k**3 + 0 - 13*k + 1/12*k**4. Let p(b) be the second derivative of -13*b**4/12 + 15*b. Calculate p(m(n)).", "a": "-13*n**4" }, { "q": "Let g(s) be the second derivative of -s**5/40 - 5*s**3 - 25*s. Let i(o) be the second derivative of g(o). Let d(v) = -9*v**2. Give i(d(w)).", "a": "27*w**2" }, { "q": "Let g = 51 - 48. Suppose 35 = x - g. Let f(c) = -x*c + c**2 + 38*c. Let q(w) = -8*w. What is f(q(j))?", "a": "64*j**2" }, { "q": "Let d(u) = u**2. Let s(i) be the second derivative of -i**6/90 + i**4/2 + 38*i. Let n(t) be the third derivative of s(t). Give n(d(y)).", "a": "-8*y**2" }, { "q": "Let t(k) = -6*k. Let v be 38/9 - (-228)/(-1026). Let d(j) be the third derivative of 18*j**2 - 1/8*j**v + 0*j + 0*j**3 + 0. Calculate d(t(o)).", "a": "18*o" }, { "q": "Let x(v) = 2*v. Let g(n) = 9778586*n**2. Calculate x(g(h)).", "a": "19557172*h**2" }, { "q": "Let u(h) = -259 - 40*h + 55*h + 259. Let n(m) = -3*m + 13. Give u(n(i)).", "a": "-45*i + 195" }, { "q": "Let s(j) = -j + 390. Let m(r) = 3217*r. Calculate s(m(u)).", "a": "-3217*u + 390" }, { "q": "Suppose 4*q = 7*q. Let c(v) be the first derivative of -2/3*v**3 + 14 + 0*v**2 + q*v. Let y(g) = 16*g. Give c(y(b)).", "a": "-512*b**2" }, { "q": "Let s(w) = -2*w - 2289. Let x(p) = 65*p. Calculate x(s(o)).", "a": "-130*o - 148785" }, { "q": "Let q(w) = 17*w**2. Let b(c) be the second derivative of -c**3/6 - c**2 - 3*c + 273. Calculate b(q(s)).", "a": "-17*s**2 - 2" }, { "q": "Let q(f) be the first derivative of 123*f**2/2 + 1192. Let y(h) = 2*h. What is q(y(z))?", "a": "246*z" }, { "q": "Let c(i) = -8*i**2. Let k(j) = 1243708*j. Give k(c(l)).", "a": "-9949664*l**2" }, { "q": "Suppose 2*p - 3 - 1 = 0. Let l(z) = -2*z**2 + z**2 + 7*z**p. Let n(w) be the second derivative of -w**4/6 - 342*w + 11. Give l(n(b)).", "a": "24*b**4" }, { "q": "Let h(d) = 3*d**2 + d - 411. Let c(q) = -1911*q. What is h(c(b))?", "a": "10955763*b**2 - 1911*b - 411" }, { "q": "Let f(w) = 29*w**2 - 28737*w - 2. Let t(k) = 2*k**2. Give f(t(s)).", "a": "116*s**4 - 57474*s**2 - 2" }, { "q": "Let l(k) = k**2. Let j(s) = 2243792*s - 3. Determine j(l(z)).", "a": "2243792*z**2 - 3" }, { "q": "Let n(w) = 116 - 214 - 3*w + 98 - w. Let a(q) = 258*q**2. What is a(n(d))?", "a": "4128*d**2" }, { "q": "Let y(n) = 6*n. Let b(c) = -26*c**2 + 5*c + 5. Let p(z) = -13*z**2 + 3*z + 3. Suppose 0 = a - 25 + 20. Let s(q) = a*p(q) - 3*b(q). What is y(s(i))?", "a": "78*i**2" }, { "q": "Let w(s) be the third derivative of -s**5/30 + 379*s**3/3 - 890*s**2. Let k(o) = -2*o**2. What is w(k(t))?", "a": "-8*t**4 + 758" }, { "q": "Let q(l) = 13*l + 9. Let p(y) = -30*y - 21. Let o(c) = 3*p(c) + 7*q(c). Let x(w) = 51*w + 7. Determine x(o(k)).", "a": "51*k + 7" }, { "q": "Let f(s) = 4223204*s**2. Let r(x) = -x. Calculate f(r(h)).", "a": "4223204*h**2" }, { "q": "Let m(q) = 2*q**2 + 24. Let f(t) = 8*t**2 - 22*t + 55. Let b(a) = -2*a**2 + 6*a - 15. Let u(c) = 22*b(c) + 6*f(c). What is u(m(x))?", "a": "16*x**4 + 384*x**2 + 2304" }, { "q": "Let z(y) be the second derivative of -y**3/2 + 263*y + 3. Let d(c) = 2*c + 88. What is d(z(m))?", "a": "-6*m + 88" }, { "q": "Let g(z) = -z**2 - 12*z + 16. Let x be g(-11). Let r(o) = -55*o + x*o + 44*o. Let s(y) = 2*y - 3*y + 3*y. Calculate s(r(i)).", "a": "32*i" }, { "q": "Let v(y) = -7*y**2 + 7*y. Let w(m) = 5758*m - 6. What is w(v(p))?", "a": "-40306*p**2 + 40306*p - 6" }, { "q": "Let j(s) = -22*s. Let p(o) = 12*o**2 + 77*o + 42. Determine j(p(c)).", "a": "-264*c**2 - 1694*c - 924" }, { "q": "Let r(y) = 89621*y**2 + 1. Let w(k) = -32*k**2. What is r(w(o))?", "a": "91771904*o**4 + 1" }, { "q": "Let p(b) = -25*b**2. Let q(z) = 151856*z. What is q(p(x))?", "a": "-3796400*x**2" }, { "q": "Let z(t) = -6*t**2 - 21*t - 1262*t - 10*t**2 + 18*t**2. Let h(w) = w. What is h(z(o))?", "a": "2*o**2 - 1283*o" }, { "q": "Let l(u) = -4*u. Let g be -2 - -344 - (3 + -6). Let y(m) = 8*m**2 - m**2 - 345 + g. Give l(y(r)).", "a": "-28*r**2" }, { "q": "Let s(u) = 6*u - u**2 - 6 + 32 - 17. Let g be s(7). Let z(o) = -10*o**2 + 3*o**2 + 12*o**g. Let y(r) = -6*r. Calculate y(z(a)).", "a": "-30*a**2" }, { "q": "Let a(p) = 3*p - 11. Let m(r) be the first derivative of -15*r**2/2 - 1039. Determine a(m(j)).", "a": "-45*j - 11" }, { "q": "Let p(l) = -10*l**2. Let b(t) be the second derivative of 0*t**2 + 8*t - 2 + 1/3*t**3. Determine p(b(g)).", "a": "-40*g**2" }, { "q": "Let n(y) = 316*y + 1. Let s(t) = -3*t**2 - 1617*t + 2. Give n(s(m)).", "a": "-948*m**2 - 510972*m + 633" }, { "q": "Let t(o) = -6*o. Let b(i) = -1063*i + 16. Let x(g) = -355*g + 6. Let v(l) = -3*b(l) + 8*x(l). What is v(t(s))?", "a": "-2094*s" }, { "q": "Let t(g) be the third derivative of -19*g**5/6 - 1519*g**2. Let o(l) = 8*l. What is o(t(z))?", "a": "-1520*z**2" }, { "q": "Let j(l) = 3*l**2. Let d be 26/39 + (-14)/(-6). Suppose -4*f = -5*v + 23, 7 = d*v - 0*f + f. Let g(b) = 5*b - 11*b + v*b. Determine j(g(i)).", "a": "27*i**2" }, { "q": "Let x(i) be the third derivative of i**5/30 - 11*i**4/12 + 4*i**2. Let a(d) be the second derivative of -d**3/2 + 11*d. Determine a(x(t)).", "a": "-6*t**2 + 66*t" }, { "q": "Let n(v) = -701510*v. Let y(d) = 23*d. Calculate n(y(o)).", "a": "-16134730*o" }, { "q": "Let i(q) be the first derivative of q**5/60 - 5*q**2/2 + 8*q - 49. Let h(b) be the second derivative of i(b). Let x(k) = 10*k**2. Calculate x(h(p)).", "a": "10*p**4" }, { "q": "Let h(s) = -30692*s**2. Let j(m) = 304*m**2. What is h(j(u))?", "a": "-2836431872*u**4" }, { "q": "Let w(g) = 1638*g**2 - 2879*g. Let a(s) = -3*s**2. Determine w(a(k)).", "a": "14742*k**4 + 8637*k**2" }, { "q": "Let l(q) be the second derivative of 35*q**3/2 - q**2/2 - 735*q. Let r(w) = 4*w**2. Give l(r(d)).", "a": "420*d**2 - 1" }, { "q": "Let m(i) be the third derivative of 7*i**5/12 - 2*i**2. Let o(h) be the third derivative of -h**5/60 + 1791*h**2. Determine o(m(w)).", "a": "-1225*w**4" }, { "q": "Let p(y) = -1999003*y**2 - 13046*y + 6523. Let l(b) = -613*b**2 - 4*b + 2. Let h(f) = -13046*l(f) + 4*p(f). Let n(w) = -2*w**2. Give n(h(i)).", "a": "-2813192*i**4" }, { "q": "Let b(p) be the third derivative of -p**7/140 + p**5/30 - p**3/2 + 58*p**2. Let k(d) be the third derivative of b(d). Let i(w) = -2*w. Give i(k(t)).", "a": "72*t" }, { "q": "Let h(g) = -6*g**2 - 27*g - 34*g + 85*g - 24*g. Let j(q) = q + 5. Calculate j(h(x)).", "a": "-6*x**2 + 5" }, { "q": "Let x(u) = -16*u**2. Let n be 0*(-3)/(-18) - (1 + -1). Let f(o) be the third derivative of 0*o**3 + 0*o - 15*o**2 + 0 + n*o**4 + 1/30*o**5. Determine f(x(v)).", "a": "512*v**4" }, { "q": "Let m(y) = 23*y**2. Let z(g) be the third derivative of -g**5/60 - 5*g**3/6 + 2*g**2 + 10*g. Let n(a) be the first derivative of z(a). Give n(m(r)).", "a": "-46*r**2" }, { "q": "Let x(c) = -c**2. Let r(p) = -7815824*p. What is x(r(d))?", "a": "-61087104798976*d**2" }, { "q": "Let p(a) = -20*a - 228153. Let x(g) = 2*g. Determine x(p(z)).", "a": "-40*z - 456306" }, { "q": "Suppose 0 = -3*r + r + 8. Let u(d) = r*d + 9*d + d. Let i(z) be the first derivative of z**2/2 - 20541. Determine u(i(h)).", "a": "14*h" }, { "q": "Let f(p) = -41199*p. Let m(x) = -84*x**2. Calculate m(f(q)).", "a": "-142578038484*q**2" }, { "q": "Let g(v) = -2*v. Let n be 1*-4 + 4 + 2. Let m(h) = -10*h**n - 16*h**2 + 6*h**2. Let a(o) = 5*o**2. Let x(t) = -15*a(t) - 4*m(t). Calculate x(g(s)).", "a": "20*s**2" }, { "q": "Let k(w) = 89*w - 170. Let t(i) = 179*i. Give k(t(s)).", "a": "15931*s - 170" }, { "q": "Let m(y) = 11*y. Let u(d) = -136*d**2 + 5*d + 20. Let v(i) = -135*i**2 + 6*i + 24. Let k(p) = -6*u(p) + 5*v(p). Calculate k(m(o)).", "a": "17061*o**2" }, { "q": "Let h(b) = 11*b**2. Let n(a) be the third derivative of -a**5/30 - 13*a**4/24 - 43*a**2 - 15*a. What is h(n(g))?", "a": "44*g**4 + 572*g**3 + 1859*g**2" }, { "q": "Let r(s) = -29951*s. Let u(v) = -89*v. Determine u(r(p)).", "a": "2665639*p" }, { "q": "Let w(l) = 2*l**2. Let g(c) = 42*c. Let r(i) = -16 - 12*i + 29 + 13*i - 13. Let f be -2*(0 + 2)/(-4). Let y(j) = f*g(j) - 35*r(j). Determine y(w(t)).", "a": "14*t**2" }, { "q": "Let v(y) = 2043*y. Let x(t) = -56*t**2. Give v(x(z)).", "a": "-114408*z**2" }, { "q": "Let m(q) be the second derivative of 7*q**4/12 + q. Let h(v) be the third derivative of v**5/60 + 8*v**2 - 3*v - 6. Calculate m(h(x)).", "a": "7*x**4" }, { "q": "Suppose -27*r + 3*r = -48. Let y(m) = -653 - 653 - 69*m**r + 1306. Let l(g) = 2*g**2. Give l(y(s)).", "a": "9522*s**4" }, { "q": "Let f(m) = -1309632*m + 4864. Let l(z) = 4846*z - 18. Let i(u) = -9*f(u) - 2432*l(u). Let t(b) = -2*b. What is i(t(s))?", "a": "-2432*s" }, { "q": "Let p(u) = 11*u. Let d(c) = -711364*c**2. Give p(d(t)).", "a": "-7825004*t**2" }, { "q": "Let j(w) = 558*w. Let h(a) = -28*a + 16. Let b(o) = -22*o + 12. Let y(c) = -4*b(c) + 3*h(c). Determine j(y(s)).", "a": "2232*s" }, { "q": "Let m(p) = -6*p. Suppose -q + 16 = 3. Let i = -41 - -62. Let z(g) = i*g - q*g - 7*g. Calculate m(z(r)).", "a": "-6*r" }, { "q": "Let i(a) = 1437*a**2. Let k(m) be the third derivative of -m**5/30 + 714*m**2 + m. Calculate i(k(q)).", "a": "5748*q**4" }, { "q": "Let p(l) = 4472*l - 1. Let d(m) = -718*m. Calculate p(d(r)).", "a": "-3210896*r - 1" }, { "q": "Let k(o) = -o. Let t(p) = 21515678*p. Give k(t(b)).", "a": "-21515678*b" }, { "q": "Let z(m) = 2225*m. Let j(o) = -o**2 + o - 2. Let i(u) = u**2 + u - 2. Let g(n) = -i(n) + j(n). What is z(g(f))?", "a": "-4450*f**2" }, { "q": "Let l(w) = 580*w + 174. Let z(a) = 17*a + 5. Let q(v) = 5*l(v) - 174*z(v). Let t(b) = -13*b**2. What is q(t(f))?", "a": "754*f**2" }, { "q": "Let v(h) = h**2 + 1. Let y(w) be the first derivative of 4*w**3/3 + 16*w - 46. Let n(t) = 16*v(t) - y(t). Let m(s) = 4*s. Determine n(m(l)).", "a": "192*l**2" }, { "q": "Let x(d) = -297*d**2. Let p(b) = b**2 - 29*b**2 + 4*b**2 + 9*b**2 + 11*b**2. Determine x(p(v)).", "a": "-4752*v**4" }, { "q": "Let a(y) = -5*y - 4*y + 7*y + 0*y + 5*y. Let x be (-6)/15 - 36/(-15). Let q(o) = 40*o - 40*o - 8*o**x. Give a(q(d)).", "a": "-24*d**2" }, { "q": "Let z(g) = -8972*g. Let n(k) = 338*k**2 - 3*k. Give z(n(m)).", "a": "-3032536*m**2 + 26916*m" }, { "q": "Let w(y) be the third derivative of -y**4/6 - 35*y**3/6 - 103*y**2 - 4. Let t(z) = -4*z. Give t(w(o)).", "a": "16*o + 140" }, { "q": "Let o(i) = -23*i**2 + i. Let r(d) be the second derivative of 7*d**4/12 + 68*d + 3. What is o(r(l))?", "a": "-1127*l**4 + 7*l**2" }, { "q": "Let v(f) = 2913879*f. Let c(w) = 3*w. What is v(c(o))?", "a": "8741637*o" }, { "q": "Let c(k) = k**2. Let f(s) = 314*s**2 + 6*s + 46. Let o(n) = -n**2 - n - 8. Let g(x) = f(x) + 6*o(x). Give g(c(y)).", "a": "308*y**4 - 2" }, { "q": "Let g(h) = -16*h**2. Let b(y) = 198156*y**2. What is g(b(r))?", "a": "-628252805376*r**4" }, { "q": "Let y(h) = -42*h**2 - 2. Let d(k) = 1. Let t(g) be the second derivative of -g**3/3 - g**2 + 78*g. Let z(b) = -2*d(b) - t(b). Determine z(y(r)).", "a": "-84*r**2 - 4" }, { "q": "Let o(f) = 16*f**2 + 139*f. Let z(n) = -14*n**2. Give o(z(b)).", "a": "3136*b**4 - 1946*b**2" }, { "q": "Let d(s) = 4*s**2 - 1. Let y(b) = 19*b**2 - 6. Let c(n) = -6*d(n) + y(n). Let t(q) = 30*q + 1. Give t(c(f)).", "a": "-150*f**2 + 1" }, { "q": "Let v(k) = -2*k - 44. Let l(u) = 34*u + 616. Let n(w) = 2*l(w) + 28*v(w). Let p(t) be the first derivative of -9*t**2/2 + 1. Determine n(p(a)).", "a": "-108*a" }, { "q": "Let o(h) = 31*h**2 - 9*h - 3. Let s(y) = 1612*y**2 - 465*y - 155. Let k(n) = -155*o(n) + 3*s(n). Let j(x) = -25*x**2. Calculate j(k(b)).", "a": "-24025*b**4" }, { "q": "Let p(j) = -14*j**2 + 4*j - 8. Let h(k) = 3*k**2 - k + 2. Let q(w) = 4*h(w) + p(w). Let o(i) = 1517*i**2. Determine q(o(d)).", "a": "-4602578*d**4" }, { "q": "Let l(a) = -a**2 - 23*a + 47. Let b be l(-25). Let x(t) = 3*t - 2. Let u(g) = -3*g + 3. Let i(n) = b*x(n) - 2*u(n). Let p(w) = 12*w**2. What is i(p(r))?", "a": "-36*r**2" }, { "q": "Let j(g) = 15*g. Let h(q) = -1209834*q**2. What is h(j(f))?", "a": "-272212650*f**2" }, { "q": "Let z(m) = 10*m**2 + 17*m**2 + 10*m**2 + 17*m**2 - 50*m**2. Let u = -11 - -13. Let b(a) = 3*a**2 - 4*a**u - 3*a**2. Give z(b(v)).", "a": "64*v**4" }, { "q": "Let r(c) = 0*c - 5415 - 28*c + 4*c + 5417. Let l(u) = 2*u**2. Calculate r(l(b)).", "a": "-48*b**2 + 2" }, { "q": "Let a(k) = 3 - 30 - 10*k + 0 + 27. Let b(i) be the second derivative of i**4/4 + i. Give b(a(m)).", "a": "300*m**2" }, { "q": "Let s(x) be the third derivative of -3*x**5/5 + 5371*x**2. Let i(h) = 7*h + 6. Let m(r) = -r - 1. Let a(w) = -i(w) - 6*m(w). Calculate a(s(v)).", "a": "36*v**2" }, { "q": "Let j(g) = -3082*g**2 + 8. Let u(m) = 138*m**2. Give j(u(h)).", "a": "-58693608*h**4 + 8" }, { "q": "Let v(n) = 230*n + 7. Let r(m) = -212*m - 6. Let z(l) = 4*r(l) + 3*v(l). Let q(s) = -2*s**2. Calculate q(z(o)).", "a": "-49928*o**2 - 1896*o - 18" }, { "q": "Let j(o) = -27*o**2 + 2709*o. Let q(u) = -9*u**2. What is j(q(b))?", "a": "-2187*b**4 - 24381*b**2" }, { "q": "Let n(r) = -2*r - 30. Let c(v) be the second derivative of v**3/2 + 706*v. Calculate c(n(x)).", "a": "-6*x - 90" }, { "q": "Let p(j) = -109 + 60 + 49*j - 162*j + 49. Let s(g) = -g. Let c(q) = -2*q. Let y(h) = -6*c(h) + 14*s(h). Calculate y(p(x)).", "a": "226*x" }, { "q": "Let j(b) = 18*b**2. Let a(d) = 8*d**2 + 24*d - 24. Let r(h) = -3*h**2 - 2*h + 2. Let f(x) = -4*a(x) - 48*r(x). Determine j(f(k)).", "a": "225792*k**4" }, { "q": "Let h(u) = -6*u**2. Let w(t) = -10015*t. Calculate h(w(x)).", "a": "-601801350*x**2" }, { "q": "Let z(w) = 44*w**2 - 24*w**2 + 58*w**2 - w**2. Let o(m) = 2*m. Calculate z(o(g)).", "a": "308*g**2" }, { "q": "Let v(t) = -2*t**2. Let g(c) = 12*c**2 - 5*c - 5. Suppose i = -4*i + 15. Let z be g(i). Let m(h) = z - 88 + h**2. Calculate v(m(o)).", "a": "-2*o**4" }, { "q": "Let o(a) = -32*a**2. Let q(r) = -6*r**2 - 3*r + 6. Let m(f) = -8*f**2 + 8 - 428*f + f**2 + 424*f. Let w(t) = 3*m(t) - 4*q(t). What is o(w(z))?", "a": "-288*z**4" }, { "q": "Let d(y) = -41*y + 2. Let s(k) = -13883*k. Give s(d(t)).", "a": "569203*t - 27766" }, { "q": "Let t(q) = 14*q**2 + 36. Let f(m) = 3*m**2 + 8. Let v(y) = 18*f(y) - 4*t(y). Let g(x) = 599*x. Give g(v(c)).", "a": "-1198*c**2" }, { "q": "Let x(f) = f - 8. Let r(y) = -99353*y. What is r(x(k))?", "a": "-99353*k + 794824" }, { "q": "Let b(i) = 819*i**2 - 119. Let l(s) = -10*s. Give b(l(z)).", "a": "81900*z**2 - 119" }, { "q": "Let v(x) be the second derivative of x**3/6 + x**2/2 + 36*x. Let u(s) = 2*s + 4. Let b(q) = u(q) - 4*v(q). Let y(m) = m + m - 12*m - 18*m. Determine b(y(z)).", "a": "56*z" }, { "q": "Let l(h) = 44 - 16 - 11 + 10*h - 17. Let a(r) = r**2 - 30. Determine a(l(v)).", "a": "100*v**2 - 30" }, { "q": "Let c(k) = -71*k**2 - 118*k - 4. Let r(m) = -57*m. Determine c(r(l)).", "a": "-230679*l**2 + 6726*l - 4" }, { "q": "Let s(w) = 6*w**2 - 6*w + 64. Let g(p) = -94*p. Give g(s(z)).", "a": "-564*z**2 + 564*z - 6016" }, { "q": "Let q(u) = 553*u - 273*u - 274*u. Let z(w) be the second derivative of -5*w**4/6 + 3*w. Determine q(z(o)).", "a": "-60*o**2" }, { "q": "Let k(i) = -8*i. Let y(c) = 112*c**2 - 32*c - 11. Let f(v) = -23*v**2 + 6*v + 2. Let m(n) = 11*f(n) + 2*y(n). Give m(k(t)).", "a": "-1856*t**2 - 16*t" }, { "q": "Let g(z) = -z + 2. Let k(d) be the third derivative of d**6/360 + 13*d**3/2 + 3*d**2. Let o(y) be the first derivative of k(y). Give o(g(t)).", "a": "t**2 - 4*t + 4" }, { "q": "Let b(o) = -1. Let d(c) = -4*c + 1. Let q(h) = -4*b(h) - d(h). Let i(k) = -5*k - 4. Let m(j) = -3*i(j) - 4*q(j). Let a(w) = -102*w**2. Determine a(m(x)).", "a": "-102*x**2" }, { "q": "Let t(p) be the second derivative of 11*p**4/4 - 6*p + 10. Let w(n) = 14*n + 3. Calculate t(w(q)).", "a": "6468*q**2 + 2772*q + 297" }, { "q": "Let h(j) = 817 + 818 + 837*j + 808 - 2443. Let q(m) = -3*m. Determine h(q(d)).", "a": "-2511*d" }, { "q": "Let q(b) be the second derivative of b**5/120 - 2*b**3 + 2*b. Let i(w) be the second derivative of q(w). Let p(u) = -3*u - 10*u + u - 6*u. Give p(i(v)).", "a": "-18*v" }, { "q": "Let b(m) = -33864*m + 16922*m + 8 + 16930*m. Let d(c) = 3*c. Calculate d(b(n)).", "a": "-36*n + 24" }, { "q": "Let h(i) = -53696*i**2. Let w(c) = 5*c + 39. Give w(h(n)).", "a": "-268480*n**2 + 39" }, { "q": "Let t(i) = 627*i**2 - 3419. Let b(j) = 3*j**2. Give t(b(z)).", "a": "5643*z**4 - 3419" }, { "q": "Let n(w) = -2*w**2. Let o(t) = 1 + 5*t + 1 - 28*t**2 - 6 - 1. Let v(r) = 13*r**2 - 2*r + 2. Let x(g) = -6*o(g) - 15*v(g). Determine x(n(j)).", "a": "-108*j**4" }, { "q": "Let c(i) be the first derivative of i**2/2 + 1034. Let y(b) = 392*b**2. Determine y(c(w)).", "a": "392*w**2" }, { "q": "Let c(b) = -15*b**2. Let s(l) be the third derivative of -l**5/4 + 1063*l**2. What is s(c(i))?", "a": "-3375*i**4" }, { "q": "Let y(u) = -6*u. Let p(c) = 206682*c**2 + 2*c - 3. Give p(y(v)).", "a": "7440552*v**2 - 12*v - 3" }, { "q": "Let l(s) = 18*s**2. Let c(u) = -451231*u. Calculate l(c(p)).", "a": "3664969476498*p**2" }, { "q": "Let s(u) = 206*u + 31. Let w(k) = -71*k - 11. Let z(v) = -6*s(v) - 17*w(v). Let l(h) = -4 + 4 - h. Give z(l(r)).", "a": "29*r + 1" }, { "q": "Let h(b) = 34*b**2. Let v(x) = 10 - 5 - 3 + 32*x + 0 + 0. Calculate h(v(k)).", "a": "34816*k**2 + 4352*k + 136" }, { "q": "Let p(z) = -462*z**2 + 198*z + 99. Let n(k) = -23*k**2 + 10*k + 5. Let b(m) = 99*n(m) - 5*p(m). Let g(u) = -3*u + u + 0*u - 2*u. Determine b(g(s)).", "a": "528*s**2" }, { "q": "Let i(u) = -167*u + 13. Let r(g) = -452*g**2. Calculate i(r(j)).", "a": "75484*j**2 + 13" }, { "q": "Let a(b) = 11*b**2. Let n(w) = -158*w**2 - 5*w + 10. Let d(v) = 2*v**2 - v + 2. Let o(g) = 5*d(g) - n(g). Give a(o(t)).", "a": "310464*t**4" }, { "q": "Let m(r) = 3*r**2. Let d(t) = 728738*t. Determine m(d(k)).", "a": "1593177217932*k**2" }, { "q": "Let p(w) be the second derivative of 37*w**4/12 - 12361*w. Let s(y) = y**2 + 3*y - 3. Let j(t) = t**2 + 4*t - 4. Let c(d) = 3*j(d) - 4*s(d). Calculate c(p(u)).", "a": "-1369*u**4" }, { "q": "Let c(u) = 3*u**2 + 5*u - 9. Let n be c(4). Let g(m) = -85*m**2 + 48*m**2 + n*m**2. Let r(q) = 6*q. What is r(g(f))?", "a": "132*f**2" }, { "q": "Let s(o) = -863*o**2. Let r(p) = 3*p**2 - 15*p - 5. Let d(i) = 3*i**2 - 18*i - 6. Let m(v) = 5*d(v) - 6*r(v). What is m(s(a))?", "a": "-2234307*a**4" }, { "q": "Let y(h) be the first derivative of 0*h**2 + 1/3*h**3 + 10 + 0*h. Let j(k) = -38 + 34*k + 38. What is j(y(a))?", "a": "34*a**2" }, { "q": "Let p(l) = l**2 - 774*l. Let h(k) = 314*k. Determine p(h(d)).", "a": "98596*d**2 - 243036*d" }, { "q": "Let h(f) = -f**2. Let m(a) = 19*a**2 - 4. Let j(i) = -63 - 72 + 619*i**2 + 26*i**2. Let b = -18 - -22. Let q(n) = b*j(n) - 135*m(n). Give q(h(s)).", "a": "15*s**4" }, { "q": "Let v(r) = 577306*r**2. Let h(l) = 11*l. Give h(v(s)).", "a": "6350366*s**2" }, { "q": "Let z(q) = 24*q. Let y(w) = -w**2 + 15*w - 19. Let n = 8 - -5. Let d be y(n). Let m(g) = 2*g - d + 12 - 5. What is m(z(b))?", "a": "48*b" }, { "q": "Let l(q) = 73*q**2 + q + 3. Let v(z) = -79*z - 4. Calculate v(l(p)).", "a": "-5767*p**2 - 79*p - 241" }, { "q": "Let u(c) = 20*c**2 - 2. Let q(x) = -x**2 + 7*x**2 - 17649 + 17649. Calculate u(q(m)).", "a": "720*m**4 - 2" }, { "q": "Let f(u) be the first derivative of 3*u**2 - 1269. Let g(p) = p - 22. Calculate f(g(z)).", "a": "6*z - 132" }, { "q": "Let v(n) = 23*n**2. Let r(m) = -302362*m**2. Determine r(v(c)).", "a": "-159949498*c**4" }, { "q": "Let r(h) be the third derivative of -h**5/10 + h**2. Let s(a) be the second derivative of 0*a**2 + 0 - 1/6*a**3 - 2*a. Calculate s(r(u)).", "a": "6*u**2" }, { "q": "Let z(w) = 6*w**2 + w. Let m(u) = -17*u**2 - 3*u + 53. Let i(p) = -2*m(p) - 6*z(p). Let n(j) = 2*j**2. What is n(i(l))?", "a": "8*l**4 + 848*l**2 + 22472" }, { "q": "Let m(k) = 284*k. Let x(u) be the third derivative of -7*u**5/60 + 536*u**2. What is m(x(p))?", "a": "-1988*p**2" }, { "q": "Let w(r) = 104*r. Let z(b) be the first derivative of -b**2 - 1654. What is w(z(n))?", "a": "-208*n" }, { "q": "Let k(j) = -388*j**2. Let p(t) = 8*t + 2309*t**2 - 2315*t**2 - 8*t. What is k(p(i))?", "a": "-13968*i**4" }, { "q": "Let f(x) = x - 80. Let h(g) = 2*g - 3. Let a be ((-2)/(-6) + (17 - 16))*-3. Let m(q) = q - 2. Let k(n) = a*h(n) + 6*m(n). Determine f(k(d)).", "a": "-2*d - 80" }, { "q": "Let d(l) = -21*l - 19*l - 5*l + 52*l. Let a(t) = -15*t + 12. Give a(d(o)).", "a": "-105*o + 12" }, { "q": "Let d(s) = 3*s**2 - 4. Let f(y) be the first derivative of -y**5/60 - y**3/3 + 14*y - 9. Let o(t) be the third derivative of f(t). What is o(d(j))?", "a": "-6*j**2 + 8" }, { "q": "Let w(v) = 30060*v. Let g(k) = -144*k**2. Give g(w(q)).", "a": "-130118918400*q**2" }, { "q": "Let i(x) = -2*x. Let l(k) = 104*k + 813*k**2 + 118*k + 119*k - 341*k. Calculate l(i(p)).", "a": "3252*p**2" }, { "q": "Let h(s) = 47*s + 4. Let y(f) = -130*f - 12. Let x(z) = 11*h(z) + 4*y(z). Let l(q) = -q + 1. Let i(k) = k - 2. Let p(c) = -3*i(c) - 6*l(c). Calculate x(p(a)).", "a": "-9*a - 4" }, { "q": "Let z(f) = -f**2 - 5*f + 10. Let y(m) = -2*m**2 - 11*m + 22. Let u(s) = 5*y(s) - 11*z(s). Let x(a) = -29*a + 1. Calculate u(x(t)).", "a": "841*t**2 - 58*t + 1" }, { "q": "Let p(j) = j. Let a(b) = -4085*b**2 - 3*b + 12. Let z(f) = -5563770*f**2 - 4085*f + 16340. Let m(x) = -4085*a(x) + 3*z(x). What is p(m(v))?", "a": "-4085*v**2" }, { "q": "Let n(f) = 10*f + 15. Let g(s) = 63*s + 96. Let c(d) = -2*g(d) + 13*n(d). Let t(a) = -10*a. Give t(c(o)).", "a": "-40*o - 30" }, { "q": "Let b(c) = 2*c + 8. Let r(d) = 21*d + 26*d - 14*d - 3*d. Calculate r(b(l)).", "a": "60*l + 240" }, { "q": "Let g(i) = -7*i. Let m(j) be the first derivative of 0*j + 62 + 1/2*j**2. Give m(g(s)).", "a": "-7*s" }, { "q": "Let g(v) = 17085*v. Let b(l) = 66*l. Calculate g(b(f)).", "a": "1127610*f" }, { "q": "Let m(n) be the second derivative of 11*n**3/3 - 30*n + 15. Let w(l) = -23*l**2. What is w(m(x))?", "a": "-11132*x**2" }, { "q": "Let x(k) = -282287*k**2 + 9*k. Let l(o) = o**2. What is x(l(c))?", "a": "-282287*c**4 + 9*c**2" }, { "q": "Let i(b) be the first derivative of -b**3/3 - b**2/2 - 540. Let v(w) = -3*w**2. Determine v(i(s)).", "a": "-3*s**4 - 6*s**3 - 3*s**2" }, { "q": "Let t(y) = -2*y. Let k(l) = -29367968*l**2. Calculate t(k(v)).", "a": "58735936*v**2" }, { "q": "Let w be -1 + 1 - -3 - 0/(-4). Let t(o) = -10*o**2 - w*o**2 + 17*o**2. Let l(y) = 2*y**2 + 6*y**2 - 2*y**2. Give l(t(f)).", "a": "96*f**4" }, { "q": "Let i(o) = -356159*o. Let z(t) = 9*t**2. Determine z(i(w)).", "a": "1141643099529*w**2" }, { "q": "Let b(s) = 253*s**2 + 12 - 123*s**2 - 12 - 127*s**2. Let x(v) = 9*v**2 + 9. Let l(g) = g**2 - 1. Let m(z) = -18*l(z) - 2*x(z). What is m(b(u))?", "a": "-324*u**4" }, { "q": "Let a(m) = -7300*m + 2. Let q(y) = -584*y**2. Determine a(q(h)).", "a": "4263200*h**2 + 2" }, { "q": "Let d be 1 - (0 + 0 + 0). Let b(i) = -15*i - d + 1. Let l(g) = 75051871 - g**2 - 75051871. What is b(l(z))?", "a": "15*z**2" }, { "q": "Let j(y) = 4*y**2 + y - 1305. Let p(w) = -31*w. What is j(p(g))?", "a": "3844*g**2 - 31*g - 1305" }, { "q": "Let f(t) = -7*t**2 - 24*t. Let p(o) = -o**2 - 8*o. Let v(s) = -f(s) + 3*p(s). Let c(l) = 134*l. Calculate v(c(r)).", "a": "71824*r**2" }, { "q": "Let w(g) = -2*g. Let k be 482/4 + (-3)/6. Let f(r) = -120*r + 15*r**2 - 11*r**2 + k*r. Determine w(f(d)).", "a": "-8*d**2" }, { "q": "Let z(n) = -5*n**2 - 16*n + 12. Let f(d) = -6*d**2 - 20*d + 15. Let a(w) = -4*f(w) + 5*z(w). Let l(p) = 9*p**2. Give l(a(v)).", "a": "9*v**4" }, { "q": "Let v(o) = -4*o**2. Let j(y) = 486974*y**2. What is v(j(w))?", "a": "-948574706704*w**4" }, { "q": "Let i(p) = p**2. Let b(z) be the third derivative of -z**7/504 - 17*z**5/15 + 52*z**2. Let s(j) be the third derivative of b(j). What is i(s(f))?", "a": "100*f**2" }, { "q": "Let q(t) = 10*t**2. Let v(x) = -42*x - 56*x**2 + 21*x + 21*x + 8*x**2. Calculate q(v(s)).", "a": "23040*s**4" }, { "q": "Let x = -66 + 63. Let y(a) = 9*a**2 - 4*a. Let g(o) = 7*o**2 - 3*o. Let u(l) = x*y(l) + 4*g(l). Let t(p) = 49*p**2 - 2. What is t(u(n))?", "a": "49*n**4 - 2" }, { "q": "Let w(r) = r - 22. Let p(y) = -182*y**2 - 172*y**2 + 343*y**2. Determine w(p(c)).", "a": "-11*c**2 - 22" }, { "q": "Let a(x) = 12*x**2. Let u(b) = 8*b + 122. Let s be u(-15). Let h(v) = 8*v**s - 3439 + 3439. What is a(h(q))?", "a": "768*q**4" }, { "q": "Let g(s) = 85*s. Let a(h) = -14*h. Let z(q) = 6*a(q) + g(q). Let p(l) = -21*l + 14. Let t(n) = 1. Let v(j) = p(j) - 14*t(j). Give v(z(x)).", "a": "-21*x" }, { "q": "Let c(q) be the first derivative of -7*q**2 - 2. Let s(o) be the second derivative of 0*o**3 + 0 + 0*o**2 + 1/6*o**4 + 22*o. Calculate c(s(h)).", "a": "-28*h**2" }, { "q": "Let b(f) = 3*f**2 + 1. Let d be b(-1). Let c(s) = d*s - 16*s + 15*s. Let t(q) = -q. Determine c(t(m)).", "a": "-3*m" }, { "q": "Let t = 4897 + -4897. Let k(r) be the third derivative of t*r**3 + 0 + 0*r + 13*r**2 + 1/12*r**4. Let n(x) = -11*x. Give k(n(a)).", "a": "-22*a" }, { "q": "Let r(s) = -3*s - 3*s - 5*s. Let m(w) be the third derivative of -3*w**5/20 - 137*w**2 + 7*w - 1. Determine m(r(y)).", "a": "-1089*y**2" }, { "q": "Let d(m) = 566*m. Let w(y) = -89*y. Let i(f) = 3*d(f) + 19*w(f). Let h(l) = -2*l**2 - l - 1. Let n(j) = -j - 1. Let z(o) = -h(o) + n(o). Determine z(i(c)).", "a": "98*c**2" }, { "q": "Let t(r) be the first derivative of 0*r - 22 - 1/2*r**2 - 2/3*r**3. Let s(q) = -3*q. What is t(s(n))?", "a": "-18*n**2 + 3*n" }, { "q": "Let x(w) = -578481*w**2. Let l(k) = -4*k. Determine l(x(m)).", "a": "2313924*m**2" }, { "q": "Let x(w) be the third derivative of -109*w**5/6 + 301*w**2. Let g(s) = 3*s**2. Give x(g(l)).", "a": "-9810*l**4" }, { "q": "Let c = 1757 + -1755. Let v(j) be the third derivative of 0*j**4 - 1/30*j**5 + 0*j**3 + 0*j - 8*j**c + 0. Let u(n) = 9*n**2. Give u(v(i)).", "a": "36*i**4" }, { "q": "Let j(h) = 34*h. Let c(r) = -9*r**2 + 361*r - 13. Calculate j(c(b)).", "a": "-306*b**2 + 12274*b - 442" }, { "q": "Let y(f) be the second derivative of 0*f**3 + 0*f**2 - 1/12*f**4 + 2*f + 5. Let b(v) = 11*v**2. Determine b(y(n)).", "a": "11*n**4" }, { "q": "Let s(r) be the second derivative of -r**3/3 - 4*r. Let a(u) = 1392*u. Let c = -210 - -65. Let d(z) = -29*z. Let l(m) = c*d(m) - 3*a(m). Calculate l(s(y)).", "a": "-58*y" }, { "q": "Let b(o) = -7*o. Let x(u) = 46636*u - 5. What is x(b(q))?", "a": "-326452*q - 5" }, { "q": "Let g(q) = -22*q + 99. Let y(j) = -j + 4. Let m(b) = 8*g(b) - 198*y(b). Let k(n) = -76*n**2. Give k(m(s)).", "a": "-36784*s**2" }, { "q": "Let s(f) = -f. Let l(h) be the third derivative of 5*h**2 + 0*h**3 + 0 + h - 7/12*h**4. Determine l(s(y)).", "a": "14*y" }, { "q": "Let a(z) = 650*z. Let r(c) = -11*c**2 + 849*c. What is a(r(w))?", "a": "-7150*w**2 + 551850*w" }, { "q": "Let i(h) = -593906*h. Let c(l) = 2*l**2. Calculate i(c(z)).", "a": "-1187812*z**2" }, { "q": "Let z(a) = 5*a. Suppose 27 - 7 = 5*u, -49 = -5*m + 4*u. Suppose 12*i - m*i = -14. Let g(x) = i*x - 30*x + 13*x. What is g(z(y))?", "a": "-15*y" }, { "q": "Let f(l) = -16*l. Let n(j) = j**2 + j - 1. Let u(z) = -z**2 - 2*z + 2. Let s(b) = -2*n(b) - u(b). Give s(f(i)).", "a": "-256*i**2" }, { "q": "Let n(q) = -22*q**2 - 23*q**2 + 78*q**2 - 26*q**2. Let g(x) = -4*x**2 + 44. Let t(h) = -2. Let j(u) = -2*g(u) - 44*t(u). What is j(n(o))?", "a": "392*o**4" }, { "q": "Let s = -116 - -118. Let l(h) = -19*h**2 - 12*h**2 - 23*h**2 + 53*h**s. Let z(t) = t. Let o(v) = -24*v. Let a(f) = 2*o(f) + 60*z(f). Determine a(l(i)).", "a": "-12*i**2" }, { "q": "Let k(g) = -279*g**2 - 1329*g + 1329*g + 1. Let w(p) = p. Determine w(k(q)).", "a": "-279*q**2 + 1" }, { "q": "Let u(h) = 113*h. Let i(c) be the first derivative of c**3 - 782. Determine u(i(t)).", "a": "339*t**2" }, { "q": "Suppose 5*u = u - 2*f + 26, 0 = -2*u + 2*f + 4. Suppose 0 = 8*x - u*x - 6. Let h(g) = -2*g**x - 40 + 40. Let w(b) = -5*b**2. Calculate h(w(m)).", "a": "-50*m**4" }, { "q": "Let x(b) = 64*b**2 + 3. Let u(s) = 0 + 2933*s + 2 - 2 - 2931*s. What is u(x(k))?", "a": "128*k**2 + 6" }, { "q": "Let a(m) = -5*m - 15*m - 11*m + 23*m. Suppose 0 = -5*y + 4*y - 6. Let q(z) = -5*z + 3. Let h(n) = 44*n - 26. Let d(p) = y*h(p) - 52*q(p). Determine d(a(i)).", "a": "32*i" }, { "q": "Let b(w) = -w - 1. Let q(c) = c**2 - 2*c - 2. Let o(k) = -4*b(k) + 2*q(k). Let n(h) be the second derivative of -h**3/6 + 35*h**2/2 + 9301*h. What is n(o(p))?", "a": "-2*p**2 + 35" }, { "q": "Let s(h) = -22*h. Let o(b) = 3*b**2 + 3*b - 3. Let n(t) be the first derivative of -3*t**3 - 4*t**2 + 8*t - 51. Let l(w) = -3*n(w) - 8*o(w). Give l(s(y)).", "a": "1452*y**2" }, { "q": "Let c(t) = 26*t. Let m(j) = -122*j. Let r(u) = 14*c(u) + 3*m(u). Let y(v) = -3*v - 6. Let g(s) = 6*s + 11. Let p(z) = 6*g(z) + 11*y(z). Determine p(r(a)).", "a": "-6*a" }, { "q": "Let o(l) = -178*l**2 - l + 1. Let j(a) = -1151*a. Determine j(o(n)).", "a": "204878*n**2 + 1151*n - 1151" }, { "q": "Let r(b) = -b**3 + 6*b**2 + 7*b + 2. Let g be r(7). Suppose -104 = -10*h - 84. Let c(u) = g*u**2 + 4*u**2 + 3*u**h + 5*u**2. Let z(q) = q**2. Calculate z(c(m)).", "a": "196*m**4" }, { "q": "Let t(s) = 313104*s. Let u(v) = -2*v. Determine u(t(w)).", "a": "-626208*w" }, { "q": "Let x(k) = 0 - 6 + 14 - 23*k + 33 + 22*k. Let g(t) = 2*t**2. What is x(g(l))?", "a": "-2*l**2 + 41" }, { "q": "Let l(n) = 2*n. Let v(g) = 1457448*g. Calculate l(v(q)).", "a": "2914896*q" }, { "q": "Let u(f) be the second derivative of -f**6/720 + 17*f**4/4 - f + 4. Let y(d) be the third derivative of u(d). Let v(k) = 5*k**2 - 12*k. Give y(v(o)).", "a": "-5*o**2 + 12*o" }, { "q": "Let k(q) be the first derivative of -q**5/60 - 19*q**4/24 - 2*q**3/3 - 3*q + 36. Let a(n) be the third derivative of k(n). Let l(p) = p**2. Give l(a(g)).", "a": "4*g**2 + 76*g + 361" }, { "q": "Let w(m) = -1183439*m. Let r(h) = 5*h**2. Calculate r(w(g)).", "a": "7002639333605*g**2" }, { "q": "Let v(l) = 2*l**3 + 10*l**2 + 10*l + 10. Let t be v(-4). Let r(j) = -25*j**t - 22*j**2 + 52*j**2. Let x(w) = 8*w. What is x(r(p))?", "a": "40*p**2" }, { "q": "Let g(v) = -250*v**2. Let x(z) = -736*z - 745*z + 1477*z. Calculate x(g(o)).", "a": "1000*o**2" }, { "q": "Let z(q) be the second derivative of -q**5/120 - q**3 + 5*q**2/2 - 16*q. Let g(i) be the second derivative of z(i). Let h(k) = 71*k**2. Determine h(g(a)).", "a": "71*a**2" }, { "q": "Let r(t) = -t**2. Suppose -4*m - 15 = -23. Let w(g) = 12*g**2 + 7*g**2 + 9*g**m - 25*g**2. Give r(w(q)).", "a": "-9*q**4" }, { "q": "Let a(u) = 57*u. Let d(o) = -56*o. Let k(y) = 3*a(y) + 2*d(y). Let n(b) be the third derivative of -b**4/24 - 149*b**2. Give n(k(w)).", "a": "-59*w" }, { "q": "Let f(o) = 17*o**2 - o. Let a(j) = 12463*j. Calculate a(f(b)).", "a": "211871*b**2 - 12463*b" }, { "q": "Let i(c) = c**2. Let r(q) be the second derivative of 1119*q**4/4 - 4*q - 28. Calculate r(i(t)).", "a": "3357*t**4" }, { "q": "Let x(n) be the third derivative of 5*n**6/36 + 11*n**3/3 + 4*n**2 + 6*n. Let j(m) be the first derivative of x(m). Let w(s) = -2*s**2. What is j(w(l))?", "a": "200*l**4" }, { "q": "Let v(o) = 9*o. Let p(k) be the second derivative of k**5/30 - 7*k**3/3 + k**2 + 2*k + 7. Let g(r) be the second derivative of p(r). Give g(v(w)).", "a": "36*w" }, { "q": "Let g(j) = -22*j + 18. Let l(u) = 18*u - 15. Let x(t) = 5*g(t) + 6*l(t). Let m(v) = 2*v + 219. What is x(m(d))?", "a": "-4*d - 438" }, { "q": "Let l be ((-21)/(-9))/(3/36). Suppose 2*u = 2 + l. Let c(a) = 36*a - 12*a - u*a. Let i(o) = 3*o. What is i(c(w))?", "a": "27*w" }, { "q": "Let w(r) = -66*r**2. Let y(l) be the second derivative of -35*l**4/12 - l - 304. Give y(w(s)).", "a": "-152460*s**4" }, { "q": "Let j(h) = 7*h. Let p = 9165 - -1832. Let z(v) = -v + p - 10997. Calculate z(j(w)).", "a": "-7*w" }, { "q": "Let t(p) = 3*p + 5. Let s(i) = -1098*i**2 - 6*i + 4. Give t(s(r)).", "a": "-3294*r**2 - 18*r + 17" }, { "q": "Let n(g) = -34*g**2 - 3*g. Let w(d) = 68*d - 64. Let u(c) = -13*c + 12. Let i(q) = -16*u(q) - 3*w(q). Give i(n(l)).", "a": "-136*l**2 - 12*l" }, { "q": "Let b(n) = -7*n. Let v(h) = 2255376*h. What is v(b(f))?", "a": "-15787632*f" }, { "q": "Let n(r) be the third derivative of 7*r**5/60 + 38*r**2 - 21*r - 1. Let z(p) = 9*p. Let b(a) = a. Let y(s) = 21*b(s) - 2*z(s). Calculate n(y(q)).", "a": "63*q**2" }, { "q": "Let r(y) = y - 15. Suppose -v = -0*v - 4*n + 1, 0 = 5*n. Let a(c) = -3. Let f(o) = v*r(o) + 5*a(o). Let d(h) = 10*h**2 - 1. What is f(d(x))?", "a": "-10*x**2 + 1" }, { "q": "Suppose -12*o = -16*o + 56. Let z(s) be the first derivative of 29*s - 2*s**2 - 6 - 15*s - o*s. Let g(u) = 3*u. Give g(z(t)).", "a": "-12*t" }, { "q": "Let z(i) = -788*i**2 + 357*i**2 + 497*i**2 + 354*i**2. Let n(v) = -2*v**2. Calculate z(n(t)).", "a": "1680*t**4" }, { "q": "Let n(q) = -5843*q. Let u(y) = 2912*y. Calculate n(u(s)).", "a": "-17014816*s" }, { "q": "Let s(t) = 3*t**2 - 4*t. Let w(o) = -16*o**2 + 19*o. Let d(q) = -11*s(q) - 2*w(q). Let a(u) = -9*u**2. What is a(d(x))?", "a": "-9*x**4 + 108*x**3 - 324*x**2" }, { "q": "Let x(j) = 2*j**2 - 27*j. Let y(l) = -4711 + 6*l + 4*l - 4707 + 9418. Determine y(x(d)).", "a": "20*d**2 - 270*d" }, { "q": "Let u(s) = -2*s. Let l(y) = 1326380*y. Give l(u(m)).", "a": "-2652760*m" }, { "q": "Let k(z) = -2*z - z + 3*z + 4*z - 10*z. Let o(b) = -96*b - 1. What is k(o(m))?", "a": "576*m + 6" }, { "q": "Let c(y) = -y. Let v(m) be the third derivative of 31*m**4/24 + m**3/2 - 113*m**2 + 4*m. Calculate c(v(w)).", "a": "-31*w - 3" }, { "q": "Let n(i) be the second derivative of -i**4/4 - i - 6. Let f(v) be the first derivative of -2*v**2 + 8. Determine f(n(a)).", "a": "12*a**2" }, { "q": "Let q(j) = 3*j. Let m(z) = -6*z - 3 - 4*z + 3*z + 10*z. Determine q(m(x)).", "a": "9*x - 9" }, { "q": "Let f(m) = -6*m**2 - 17. Suppose 21*b = 11*b + 170. Let t(k) = 2*k**2 + 6. Let l(c) = b*t(c) + 6*f(c). Let z(r) = 16*r. Give l(z(o)).", "a": "-512*o**2" }, { "q": "Let h(l) = 61*l**2. Let u(a) be the first derivative of 0*a + 0*a**2 - 1/3*a**3 + 15. What is u(h(j))?", "a": "-3721*j**4" }, { "q": "Let b(i) = 100152*i**2 - 28. Let d(k) = k**2. Determine b(d(g)).", "a": "100152*g**4 - 28" }, { "q": "Let f(a) be the first derivative of -39*a**2/2 + 1. Let l(x) = 3860*x**2 - 4 - 7721*x**2 + 3860*x**2 + 4. Determine f(l(m)).", "a": "39*m**2" }, { "q": "Let t(g) = -3*g. Let k(j) = 29*j + 6. Let y(u) = 1. Let l = -175 + 181. Let f(r) = l*y(r) - k(r). Give t(f(q)).", "a": "87*q" }, { "q": "Let w(k) = -2*k - 1923248. Let s(d) = -2*d. Determine s(w(u)).", "a": "4*u + 3846496" }, { "q": "Let a(n) = -n. Let y(l) = -3782*l. Let h = 214 - 431. Let x(t) = -35*t. Let g(j) = h*x(j) + 2*y(j). Calculate g(a(f)).", "a": "-31*f" }, { "q": "Let b(i) be the second derivative of 19*i**4/6 + i - 356. Let u(j) = 3*j**2. Determine u(b(n)).", "a": "4332*n**4" }, { "q": "Let j(q) be the third derivative of -q**5/30 + 8*q**2. Let o(b) = 13 - 2*b + 49 - 73. Give j(o(l)).", "a": "-8*l**2 - 88*l - 242" }, { "q": "Let r(w) = -2*w**2 + 2. Let p(o) = 113640*o. Give r(p(t)).", "a": "-25828099200*t**2 + 2" }, { "q": "Let m(i) = -i**3 + 3*i**2 - 3. Let s be m(3). Let v = s - -5. Let t(l) = 6 - 4 + 3*l - v. Let o(a) = 5*a**2. What is o(t(z))?", "a": "45*z**2" }, { "q": "Let k(m) be the third derivative of 27*m**4/8 + 131*m**2 - 2. Let x(p) = 9*p**2. Calculate x(k(l)).", "a": "59049*l**2" }, { "q": "Let z(g) = -2*g**2. Let y(w) be the first derivative of -121*w**2/2 + 1180. What is z(y(r))?", "a": "-29282*r**2" }, { "q": "Let g(j) = -15*j**2. Suppose 4*t = -8*s + 5*s + 79, 0 = 5*t - 5. Let d(w) = s - 29 - 4*w + 4. Determine d(g(n)).", "a": "60*n**2" }, { "q": "Let v(u) = -2*u**2. Let r(i) = -623*i - 665. Let n(y) = 24*y + 26. Let s(c) = -77*n(c) - 3*r(c). Calculate s(v(x)).", "a": "-42*x**2 - 7" }, { "q": "Let v(f) = -10*f + 2. Let p(l) be the third derivative of 3*l**4/4 - 37*l**2 - 9*l. Calculate v(p(x)).", "a": "-180*x + 2" }, { "q": "Let a(m) = -13 + 9 - m + 4. Let k(q) be the first derivative of q**2/2 - 7. Determine a(k(r)).", "a": "-r" }, { "q": "Let c(x) = -x + 93. Let v(s) = -6461*s - 5. Give v(c(n)).", "a": "6461*n - 600878" }, { "q": "Let x(h) = -7*h. Let c(k) = -24*k. Let q(z) = 4*c(z) - 14*x(z). Let v(y) = 6*y + 18. What is v(q(d))?", "a": "12*d + 18" }, { "q": "Let z(h) = -19*h**2. Let y(k) be the second derivative of -k**7/1260 + k**4/6 - 27*k**2/2 - k + 8. Let l(u) be the third derivative of y(u). Give z(l(n)).", "a": "-76*n**4" }, { "q": "Let q(g) = -8*g + 144 + 147 + 69 - 360. Let t(m) be the first derivative of -m**6/180 + m**3/3 - 2. Let x(y) be the third derivative of t(y). What is q(x(h))?", "a": "16*h**2" }, { "q": "Let n(l) = -32*l**2. Let t(w) = 0 + 16*w + 3 - 7*w + 0*w. Determine n(t(s)).", "a": "-2592*s**2 - 1728*s - 288" }, { "q": "Let m(b) = -11*b. Let h be 4/22 + 704/121. Let k be h/4*(-20)/(-15). Let l(w) = 2 + 0 - 2 + k*w**2. Determine m(l(p)).", "a": "-22*p**2" }, { "q": "Let f(d) = 5*d**2. Let l(c) = -11*c. Let y(m) = 608*m. Let g(n) = -7*l(n) - y(n). Determine f(g(t)).", "a": "1409805*t**2" }, { "q": "Let q(i) be the first derivative of 2/3*i**3 + 0*i**2 + 0*i + 1. Let n(z) = 117*z. What is q(n(d))?", "a": "27378*d**2" }, { "q": "Let j(d) = -595*d**2 - 2. Let r(u) = 22*u**2 - 192*u + 16. Let l(k) = -4*k**2 + 36*k - 3. Let g(o) = -16*l(o) - 3*r(o). Determine j(g(w)).", "a": "-2380*w**4 - 2" }, { "q": "Let o(n) = -3*n**2. Let d(x) be the second derivative of 29/12*x**4 + 0*x**2 + 8*x - 1 + 0*x**3. Give d(o(g)).", "a": "261*g**4" }, { "q": "Let w be -25*1*(-2)/10. Let p(x) = -9*x + 3*x + w*x. Let q(g) = -55*g**2. Give q(p(z)).", "a": "-55*z**2" }, { "q": "Let c(k) be the third derivative of 0*k + 0*k**4 + 0 + 0*k**3 + 1/4*k**5 + 102*k**2. Let p(f) be the second derivative of f**4/6 - f. Calculate c(p(v)).", "a": "60*v**4" }, { "q": "Let y(c) = c - 19381. Let a(p) = -2*p - 191. Give a(y(g)).", "a": "-2*g + 38571" }, { "q": "Let u(i) = 5*i**2 + 2*i. Let v(b) be the first derivative of -b**2/2 + 904. Calculate u(v(r)).", "a": "5*r**2 - 2*r" }, { "q": "Let n(z) be the second derivative of -8*z + 0*z**3 + 0*z**2 + 0 - 1/6*z**4. Let w(d) = 0*d**2 + 5*d**2 - 13*d**2. Determine n(w(k)).", "a": "-128*k**4" }, { "q": "Let u(c) = 4*c**2 + 0*c**2 - 2*c**2 - c**2. Let d(h) = -h**2 - 2*h. Let v(p) = 40*p**2 - 12*p - 2. Let a(r) = 6*d(r) - v(r). Give u(a(m)).", "a": "2116*m**4 - 184*m**2 + 4" }, { "q": "Let b(c) = -9*c. Let x(f) = 19*f + 35. Let v(g) = b(g) + x(g). Let h(o) = -o**2. Calculate h(v(l)).", "a": "-100*l**2 - 700*l - 1225" }, { "q": "Let t(k) = 3*k. Let n be (-2)/4*18 + (-121)/(-11). Let d(c) be the third derivative of 0*c + 0*c**3 + 0 - 1/2*c**4 - c**n. Determine t(d(l)).", "a": "-36*l" }, { "q": "Let k(w) = -114*w**2 + 3*w. Let x(h) be the second derivative of 2*h**3/3 - 859*h. Determine x(k(r)).", "a": "-456*r**2 + 12*r" }, { "q": "Let u(w) = -w**2 + 10*w. Let p = -39 - -141. Let t(s) = 205*s - p*s - 102*s. Determine u(t(l)).", "a": "-l**2 + 10*l" }, { "q": "Let k be (0 + (-7)/4)*-88. Let y(l) = k*l - 49*l - 52*l - 51*l. Let h(w) = -w + 6. Let o(u) = u - 7. Let i(n) = -7*h(n) - 6*o(n). Determine y(i(x)).", "a": "2*x" }, { "q": "Let t be (22/(-4))/((-22)/2068). Let v(k) = -t + 254 + k**2 + 263. Let g(s) = -10*s**2 + 12*s**2 + 9*s**2. Calculate v(g(w)).", "a": "121*w**4" }, { "q": "Let v(j) = 5*j**2. Let s(m) = 139*m. Let g(d) = -25*d. Let i(t) = 39*g(t) + 6*s(t). Calculate i(v(q)).", "a": "-705*q**2" }, { "q": "Let v(q) = 1266105*q. Let z(i) = 7*i. Give z(v(p)).", "a": "8862735*p" }, { "q": "Let t(z) = -21*z**2 - 70886*z. Let o(i) = -i**2. Calculate t(o(p)).", "a": "-21*p**4 + 70886*p**2" }, { "q": "Let h(b) = -2*b**2. Let z(t) = 4204*t**2 - 7689*t**2 + 4081*t**2. Give z(h(q)).", "a": "2384*q**4" }, { "q": "Let v(s) = 7*s**2. Let j(t) = -4*t**2 - 2*t + 4. Let m(b) be the third derivative of b**4/24 - b**3/3 - b**2 + 2*b. Let u(w) = j(w) + 2*m(w). Calculate u(v(x)).", "a": "-196*x**4" }, { "q": "Let f(p) = 24 + 21 - 14*p**2 - 44. Let s(v) = -4*v. Let w(g) = -15*g. Let h(a) = -22*s(a) + 6*w(a). Calculate f(h(d)).", "a": "-56*d**2 + 1" }, { "q": "Let t(s) = -409*s. Let z(g) be the third derivative of g**4/6 + 624*g**2 + 2. What is z(t(n))?", "a": "-1636*n" }, { "q": "Let g(y) = 164 - 162 + 0*y**2 + 64*y**2 - 9*y**2. Let b(w) = -34*w. Give b(g(c)).", "a": "-1870*c**2 - 68" }, { "q": "Let m(z) = 5*z**2 - 6. Let l(f) = -f + 84. Let r(w) = -2*w + 105. Let h(d) = 5*l(d) - 4*r(d). Give m(h(g)).", "a": "45*g**2 - 6" }, { "q": "Suppose -q - 4*h - 176 = -5*q, -5*q + 226 = h. Suppose q = -3*z + 171. Let g(a) = z - 42 + 2*a. Let r(n) = 3*n. Give g(r(t)).", "a": "6*t" }, { "q": "Let a(j) = 9*j. Let t(d) = -1444009*d. Determine t(a(p)).", "a": "-12996081*p" }, { "q": "Let q(l) = -10*l. Let r(h) = -1322*h**2 - 5*h - 1. Determine q(r(t)).", "a": "13220*t**2 + 50*t + 10" }, { "q": "Let o(g) = 22 + 7*g - 4 - 18. Let k(v) = 11*v + 16*v - 25*v. Determine o(k(q)).", "a": "14*q" }, { "q": "Let g(o) = 1696*o + 1700*o - 3402*o. Let p(f) be the first derivative of 0*f**2 + 2 + 0*f + 1/3*f**3. What is g(p(b))?", "a": "-6*b**2" }, { "q": "Let d(f) = -f + 7. Let g(q) = -19370*q**2. Determine d(g(w)).", "a": "19370*w**2 + 7" }, { "q": "Let o(n) = n. Let y(j) = -84583*j**2 + 169002*j**2 - 84546*j**2. Calculate o(y(g)).", "a": "-127*g**2" }, { "q": "Let i(y) = 2*y. Let v(o) = -5*o. Let w(f) = -11*i(f) - 6*v(f). Let r(s) = 2705*s + 11. Let j(c) = 984*c + 4. Let p(u) = 11*j(u) - 4*r(u). What is w(p(z))?", "a": "32*z" }, { "q": "Let w(i) = -27*i - 5. Let n(r) = r + 1. Let s(j) = -5*n(j) - w(j). Let u(d) = 392 + 6*d**2 - 179 - 213. Give u(s(b)).", "a": "2904*b**2" }, { "q": "Let j(s) be the first derivative of -2*s**3 - 32*s - 37. Let z(h) be the first derivative of j(h). Let p(o) = -3*o**2. Determine z(p(g)).", "a": "36*g**2" }, { "q": "Let x(w) = 3*w**2 - 2. Let u = 178 + -173. Let b(h) = -7*h**2 + 5. Let f(j) = u*x(j) + 2*b(j). Let l(t) = 5*t + 3*t + 6*t. Give l(f(m)).", "a": "14*m**2" }, { "q": "Let g(d) = -d**2. Let t(o) = -15459132*o. Give g(t(l)).", "a": "-238984762193424*l**2" }, { "q": "Let a(u) = 2*u. Let i(j) = 7262963*j - 1. Determine i(a(w)).", "a": "14525926*w - 1" }, { "q": "Let r(m) = 6445*m**2 + 4*m. Let w be r(1). Let a(l) = 3*l + 6449 - w. Let p(j) = j. What is a(p(o))?", "a": "3*o" }, { "q": "Let o(x) = -13*x. Let a(r) = -635*r - 620*r + 1257*r. What is o(a(d))?", "a": "-26*d" }, { "q": "Let w(m) be the first derivative of -31*m**3/3 + 4. Let s(y) = 5*y - 9. Let n(v) = 2*v - 4. Let b(z) = 9*n(z) - 4*s(z). Calculate b(w(c)).", "a": "62*c**2" }, { "q": "Let r(h) = 9998*h**2. Let y(p) = 360*p**2. What is y(r(d))?", "a": "35985601440*d**4" }, { "q": "Let m(q) = -3*q. Let h(w) = -1358183*w. Calculate m(h(a)).", "a": "4074549*a" }, { "q": "Let g(u) = 5309*u + 13. Let y(v) = 6*v + 1. Calculate y(g(s)).", "a": "31854*s + 79" }, { "q": "Let o(s) = -372 + 372 + 3*s. Let w(a) = 2*a - 4. Let d(n) = 6*n - 18. Let y(v) = 2*d(v) - 9*w(v). Determine o(y(k)).", "a": "-18*k" }, { "q": "Let p(i) = 74*i. Let t(u) = -55*u + 409. Calculate t(p(v)).", "a": "-4070*v + 409" }, { "q": "Let j(s) = -62*s**2 - 16. Let y(k) = -k + 1244. Determine j(y(i)).", "a": "-62*i**2 + 154256*i - 95947248" }, { "q": "Let l(n) = -346*n. Let q(x) = -7203*x**2. What is l(q(i))?", "a": "2492238*i**2" }, { "q": "Let g(q) = q**2. Let r(x) = -28214331*x**2. Calculate r(g(m)).", "a": "-28214331*m**4" }, { "q": "Let h(d) be the third derivative of 0*d**3 + 0*d + 0 - 5/12*d**4 + 14*d**2. Let v(a) = 5*a. Let z(k) = 6*k. Let w(y) = -3*v(y) + 2*z(y). What is h(w(m))?", "a": "30*m" }, { "q": "Let b(s) = 12*s**2 - 5578*s + 2795*s + 2779*s. Let d(g) = 3*g. Calculate b(d(m)).", "a": "108*m**2 - 12*m" }, { "q": "Let g(d) = 9*d**2. Let n(t) = -598631 + 598631 - 106*t. Determine n(g(c)).", "a": "-954*c**2" }, { "q": "Let x(i) = 5*i + 4. Let o(r) = -2*r - 3 - 2*r + 0*r. Let h be 27/(-7) + (18 - 2880/168). Let s(k) = h*x(k) - 4*o(k). Let u(b) = 3*b**2. Determine u(s(g)).", "a": "3*g**2" }, { "q": "Let w(n) = 2. Suppose -2*y - m = -11, y - 2*m - 7 = -m. Let t(u) = -4*u - 12. Let o(j) = y*w(j) + t(j). Let c(b) = -32*b. Calculate o(c(d)).", "a": "128*d" }, { "q": "Let d(n) = -1088*n - 4. Let c(b) = -2555*b. Calculate d(c(p)).", "a": "2779840*p - 4" }, { "q": "Let d(q) = 17*q**2 - 1 + 4 - 1. Let n(m) = 2*m - 24. Let j(f) = -f + 9. Let k(l) = -8*j(l) - 3*n(l). Determine d(k(w)).", "a": "68*w**2 + 2" }, { "q": "Let o(b) = 3*b - 3*b - 2*b**2. Let j(i) be the first derivative of 5*i**3/6 + 31*i - 55. Let h(c) be the first derivative of j(c). What is o(h(x))?", "a": "-50*x**2" }, { "q": "Let w(b) = -b**2. Let j(k) = 114*k + 438. Determine w(j(o)).", "a": "-12996*o**2 - 99864*o - 191844" }, { "q": "Let s(z) = -37*z**2. Let v(d) be the second derivative of d**2/2 - 74*d. Let m(t) = 2*t + 4. Let w(o) = -m(o) + 4*v(o). Determine s(w(u)).", "a": "-148*u**2" }, { "q": "Let n = -18 + 29. Let r = 6 - 4. Let a(s) = r*s - 10*s + 11*s + n*s. Let t(f) = -2*f. Determine a(t(q)).", "a": "-28*q" }, { "q": "Let i(j) = -1384*j**2. Let c(y) = 5*y + 3. Let w(s) = 22*s + 13. Let p(v) = 26*c(v) - 6*w(v). Determine i(p(t)).", "a": "-5536*t**2" }, { "q": "Let c(l) = 13*l - 468. Let d(h) = -h**2 - 112*h. Give c(d(f)).", "a": "-13*f**2 - 1456*f - 468" }, { "q": "Let n(y) = -2*y**2. Let j(p) = -4662*p**2 + 148*p - 296. Let t(l) = -222*l**2 + 7*l - 14. Let u(z) = 7*j(z) - 148*t(z). What is n(u(m))?", "a": "-98568*m**4" }, { "q": "Let n(a) = -59*a + 60*a + 83 - 83. Let t(k) = -3305*k**2. What is n(t(f))?", "a": "-3305*f**2" }, { "q": "Let n(s) be the first derivative of -39 + 0*s + 33/2*s**2. Let c(g) = 2*g**2. Give c(n(a)).", "a": "2178*a**2" }, { "q": "Let z(p) = 2*p. Let h(k) = -35003182*k. What is h(z(l))?", "a": "-70006364*l" }, { "q": "Let d(h) be the third derivative of h**5/60 + 19206*h**2. Let l(p) be the third derivative of -p**4/24 + p**3/6 + p**2. Give l(d(a)).", "a": "-a**2 + 1" }, { "q": "Let j(h) = -515*h + 5. Let u(k) = -769*k**2. Calculate j(u(f)).", "a": "396035*f**2 + 5" }, { "q": "Let y(b) = 0*b**2 + 0*b**2 + 2*b**2. Let k(l) be the third derivative of 0 + 42*l**2 + 0*l**3 + 0*l - 3/8*l**4. Calculate y(k(c)).", "a": "162*c**2" }, { "q": "Let v(n) = n - 16*n**2 - n + 7*n**2. Let c = -32 + 34. Let y(a) = 38*a**2 - 21*a**c - 15*a**2. Calculate v(y(j)).", "a": "-36*j**4" }, { "q": "Let s(t) = 627*t - 198. Let b(h) = -25*h + 8. Let a(q) = 99*b(q) + 4*s(q). Let p(x) = 13 - 2*x + 13 - 26. Give a(p(m)).", "a": "-66*m" }, { "q": "Let v(r) be the first derivative of 2*r**2 + 1072. Let f(n) = -100*n. Calculate v(f(p)).", "a": "-400*p" }, { "q": "Let v(t) = 11*t**2 + 8*t. Let f(z) = -26*z**2 - 18*z. Let x(m) = -3*f(m) - 7*v(m). Let w(y) = 5*y. Determine w(x(p)).", "a": "5*p**2 - 10*p" }, { "q": "Let h = 23 + -21. Let z(q) be the first derivative of 0*q + 0*q**h - 8 + 5/3*q**3. Let r(n) = -n**2. What is z(r(o))?", "a": "5*o**4" }, { "q": "Let f(g) = 12*g**2 - 16*g - 16. Let y(z) = 4*z**2 - 6*z - 6. Let n(m) = -3*f(m) + 8*y(m). Let r(v) = 244*v**2 - 2. Give r(n(p)).", "a": "3904*p**4 - 2" }, { "q": "Let n(b) = 2*b**2 - 3*b + 1. Let i(u) = 80*u**2 - 42*u + 14. Let w(f) = 6*i(f) - 84*n(f). Let p(h) = -5*h**2. What is w(p(d))?", "a": "7800*d**4" }, { "q": "Let x(j) = 3*j. Let u(m) = 5*m - 220. Let k(l) = 4. Suppose -2*y = 2, o = -2*y - y + 1. Let i(a) = o*u(a) + 220*k(a). What is i(x(c))?", "a": "60*c" }, { "q": "Let z(o) = -2*o + 49. Let d(y) = -69*y**2 + 13*y + 13. Let l(h) = 53*h**2 - 10*h - 10. Let m(c) = -10*d(c) - 13*l(c). Determine m(z(r)).", "a": "4*r**2 - 196*r + 2401" }, { "q": "Let y(d) be the first derivative of -d**6/90 + 38*d**3/3 + 74. Let j(p) be the third derivative of y(p). Let h(i) = -8*i**2. Determine h(j(f)).", "a": "-128*f**4" }, { "q": "Let v = 70 + 60. Let k(a) = v*a + 87*a - 183*a. Let f(m) = m. Calculate f(k(o)).", "a": "34*o" }, { "q": "Let h(x) be the second derivative of -5*x**4/2 + 1577*x. Let f(k) = -5*k. Calculate h(f(d)).", "a": "-750*d**2" }, { "q": "Let p(d) = -272*d - 1. Let s(t) = 60686*t. What is p(s(n))?", "a": "-16506592*n - 1" }, { "q": "Let l(c) = 25*c**2 + 2. Let r(j) = -424*j + 1273*j - 431*j - 431*j. What is r(l(v))?", "a": "-325*v**2 - 26" }, { "q": "Let t(z) be the second derivative of 9*z**3/2 + 13*z - 16. Let b(l) = -79*l**2. What is b(t(u))?", "a": "-57591*u**2" }, { "q": "Let c(w) = -84*w + 48. Let b(m) = 16*m - 9. Let l(k) = 16*b(k) + 3*c(k). Let h(u) = -247*u**2. Calculate h(l(p)).", "a": "-3952*p**2" }, { "q": "Let s(t) = 17*t. Let y(r) = -37962*r + 1. Determine y(s(w)).", "a": "-645354*w + 1" }, { "q": "Let g(w) = 4*w**2. Let k(z) = 3551030*z. What is k(g(l))?", "a": "14204120*l**2" }, { "q": "Let z(h) = 8*h**2 - 15029*h. Let l(j) = 7*j**2. Give z(l(m)).", "a": "392*m**4 - 105203*m**2" }, { "q": "Let l(n) = 25 + 24 - 70 - 3*n**2 + 21. Let t(x) = -356*x. Give l(t(y)).", "a": "-380208*y**2" }, { "q": "Let h(a) = 6*a**2. Let o(v) = -2*v**2 - 26*v - 6. Let i be o(-4). Let y(w) = i*w + 55*w - 114*w. Give y(h(r)).", "a": "42*r**2" }, { "q": "Let x(f) = 3*f**2 - f + 234. Let q(b) = 878*b. Determine x(q(t)).", "a": "2312652*t**2 - 878*t + 234" }, { "q": "Let u(g) be the third derivative of 5*g**4/12 - g**2. Let r(k) = k**2 - 3*k + 30. Let l(b) = 2*b**2 - b + 10. Let h(o) = -6*l(o) + 2*r(o). Determine u(h(z)).", "a": "-100*z**2" }, { "q": "Let i(n) = 6*n**2. Let q(r) = -3*r**2 - 2. Let o(p) = -70*p**2 - 45. Let s(k) = -4*o(k) + 90*q(k). Calculate i(s(m)).", "a": "600*m**4" }, { "q": "Let d(t) = 222*t - 1. Let b(j) = 594*j**2 - 294*j**2 - 298*j**2. Determine b(d(s)).", "a": "98568*s**2 - 888*s + 2" }, { "q": "Let u(v) = 92*v - 32*v - 21*v - 36*v. Let z(j) = -50*j + 8. Let x(n) = -20*n + 3. Let k(t) = 12*x(t) - 5*z(t). Calculate k(u(g)).", "a": "30*g - 4" }, { "q": "Let u(a) = 114*a. Let w(j) = -62*j. Let m(c) = 6*u(c) + 11*w(c). Let y(p) = 1017*p**2. Give y(m(b)).", "a": "4068*b**2" }, { "q": "Let o(y) = 1807*y**2 - 15*y. Let f(v) = 108*v. Calculate o(f(n)).", "a": "21076848*n**2 - 1620*n" }, { "q": "Let r(a) = -3 + 12820*a + 2 - 15753*a + 1. Let w(x) = x. Calculate w(r(g)).", "a": "-2933*g" }, { "q": "Let b(u) = 4*u. Let g(p) be the third derivative of 19*p**4/12 - p**3/3 - 155*p**2. What is g(b(t))?", "a": "152*t - 2" }, { "q": "Let r(n) = 75*n**2 + 126*n - 11. Let x(d) = 25*d**2 + 36*d - 4. Let g(w) = 2*r(w) - 7*x(w). Let u(l) = -3*l. What is g(u(c))?", "a": "-225*c**2 + 6" }, { "q": "Let t(y) = 10*y. Let m(j) = -439536*j. What is m(t(s))?", "a": "-4395360*s" }, { "q": "Let t(f) = -87*f**2 + 2*f - 497. Let k(x) = 7*x**2. Determine t(k(n)).", "a": "-4263*n**4 + 14*n**2 - 497" }, { "q": "Let y(s) be the second derivative of s**4/4 - 952*s. Let k(w) = 182*w**2. Calculate y(k(g)).", "a": "99372*g**4" }, { "q": "Let b(m) = -4*m. Let t(v) = -37*v**2 + v - 12967. What is t(b(z))?", "a": "-592*z**2 - 4*z - 12967" }, { "q": "Let i(j) = -2*j**2 + 2*j. Let x(n) = -6*n**2 + 5*n. Let b(a) = 5*i(a) - 2*x(a). Let g(t) = -1129*t**2. Calculate g(b(z)).", "a": "-4516*z**4" }, { "q": "Let c(r) be the third derivative of 76*r**4/3 + 1087*r**2. Let i(q) = 4*q**2. Give i(c(k)).", "a": "1478656*k**2" }, { "q": "Let y(c) = c**2 + 12. Let b(z) = 5*z**2 + 70. Let p(u) = 6*b(u) - 35*y(u). Let i(d) = -12*d - 3 + 3. Calculate i(p(t)).", "a": "60*t**2" }, { "q": "Let j(s) = -s**2. Let t(g) = -1175825*g**2. Determine j(t(l)).", "a": "-1382564430625*l**4" }, { "q": "Let c(l) = 2*l**2 + 5*l - 5. Let h(a) = -a**2 + a - 1. Let z(w) = -c(w) + 5*h(w). Let f(g) be the second derivative of g**3/2 + 24*g. What is z(f(p))?", "a": "-63*p**2" }, { "q": "Let i(o) = -2*o. Let g(b) be the first derivative of 2*b**3/3 - 7*b**2/2 - 1023. Give i(g(f)).", "a": "-4*f**2 + 14*f" }, { "q": "Let h(q) = -6253*q**2 + 28*q. Let c(v) = v. Give c(h(n)).", "a": "-6253*n**2 + 28*n" }, { "q": "Let j(y) = -25*y**2 - 110*y + 10. Let h(t) = -8*t**2 - 33*t + 3. Let p(c) = 10*h(c) - 3*j(c). Let w(o) = -9*o**2. Determine w(p(z)).", "a": "-225*z**4" }, { "q": "Let i(c) = 8*c**2. Suppose 8*o + 3*o = 44440. Let j(h) = 4*h - 4*h + 4042*h**2 - o*h**2. Determine i(j(z)).", "a": "32*z**4" }, { "q": "Let q(k) = -2*k - 7*k - 3*k. Let i(r) = -231*r**2 + 18*r + 18. Let n(a) = 13*a**2 - a - 1. Let b(y) = i(y) + 18*n(y). What is q(b(d))?", "a": "-36*d**2" }, { "q": "Let a(r) = r**3 + 5*r**2 - 7*r. Let m be a(-6). Suppose 2*p - 10 = 5*t, p - m*p - 5*t - 10 = 0. Let q(g) = 4 + 3*g**2 - 4 + p. Let b(o) = -11*o. Give q(b(u)).", "a": "363*u**2" }, { "q": "Let b(t) be the second derivative of -t**4/12 - 24*t + 9. Let a(l) = -736*l. Give a(b(x)).", "a": "736*x**2" }, { "q": "Let n(f) = -2*f**2. Let a(q) = q - 83. Let r(s) be the second derivative of -s**3/2 + 247*s**2/2 + 22*s. Let z(t) = 11*a(t) + 4*r(t). Determine z(n(w)).", "a": "2*w**2 + 75" }, { "q": "Let x(f) = -23*f. Let c(q) = -1026672*q. Calculate c(x(l)).", "a": "23613456*l" }, { "q": "Let y(n) = 6*n + 2*n + 4*n. Let x(j) = -2*j**2 + 3*j + 5. Let g be x(2). Let b(t) = g*t - 5*t - t + t. What is b(y(o))?", "a": "-24*o" }, { "q": "Let r(h) = -h + 21734. Let c(v) = 2*v**2 + 2*v. Give r(c(w)).", "a": "-2*w**2 - 2*w + 21734" }, { "q": "Let d(w) = w**2. Let b(n) be the third derivative of -n**4/24 - n**3/6 + 3*n**2 - 6*n. Let m(o) = -2*o + 19. Let y(p) = -b(p) + m(p). Give d(y(j)).", "a": "j**2 - 40*j + 400" }, { "q": "Let o(h) be the first derivative of -h**4/24 + 9*h**2 - 47. Let p(w) be the second derivative of o(w). Let d(b) = -142*b**2. Give p(d(y)).", "a": "142*y**2" }, { "q": "Let z(g) = -594113*g + 4. Let s(j) = 4*j. Give s(z(o)).", "a": "-2376452*o + 16" }, { "q": "Let m(u) = -4*u**2. Let y(w) be the second derivative of -91*w**4/3 + 8*w + 15. Determine y(m(n)).", "a": "-5824*n**4" }, { "q": "Suppose o = 4*o - 87. Suppose 0 = -4*a - 5 + o. Let d(n) = -10*n - a*n - 3*n - 8*n. Let p(u) = u. Determine p(d(k)).", "a": "-27*k" }, { "q": "Let y(i) = 5*i. Let g(w) = -w**2 + 13*w. Suppose 46 + 19 = 5*v. Let b be g(v). Let h(a) = b*a + 0*a + a**2 + a**2. Determine y(h(q)).", "a": "10*q**2" }, { "q": "Let d(j) = 3*j. Let p(g) = g**3 + 4*g**2 - 3. Let b be p(-3). Suppose 51 = b*n - 3. Let k(y) = 6*y - y - n*y. Determine k(d(a)).", "a": "-12*a" }, { "q": "Let p(k) = 75*k. Let d(f) be the first derivative of -57 + 2/3*f**3 + 0*f**2 + 0*f. Calculate d(p(u)).", "a": "11250*u**2" }, { "q": "Let z(i) = -2*i + 64. Let c(a) = 19*a + 8. Let j(v) = -455*v - 196. Let s(g) = -49*c(g) - 2*j(g). What is s(z(q))?", "a": "42*q - 1344" }, { "q": "Let c(u) = -2*u**2 - 5*u + 249. Let q(m) = m**2 + 2*m - 124. Let x(j) = 2*c(j) + 5*q(j). Let i(n) = -5*n + 15*n - 10*n - 2*n. Give x(i(r)).", "a": "4*r**2 - 122" }, { "q": "Let s(h) = -5*h. Suppose -8*w = -6*w. Let g = w + 7. Let v(z) = -7*z**2 + 16*z**2 - g*z**2. Determine s(v(f)).", "a": "-10*f**2" }, { "q": "Let h(q) = 24*q + 18. Let s(n) = 8*n**2 + n - 1. Let a(b) = -19*b**2 - 2*b + 2. Let y(t) = -a(t) - 2*s(t). What is h(y(d))?", "a": "72*d**2 + 18" }, { "q": "Let j(d) = -d**2. Let p(z) be the second derivative of 79*z**4/4 - 21*z - 11. Calculate j(p(h)).", "a": "-56169*h**4" }, { "q": "Let b(v) = -3*v**2. Let t(i) = -4253998*i**2. Calculate b(t(o)).", "a": "-54289496952012*o**4" }, { "q": "Let j(i) = 17*i**2. Suppose -150*z - 5790 = -155*z. Let o(s) = z - 1158 - s. What is o(j(a))?", "a": "-17*a**2" }, { "q": "Let x(h) = -h**2. Let f(y) be the second derivative of y**2 + 0 + 56/3*y**3 - 61*y. Determine x(f(a)).", "a": "-12544*a**2 - 448*a - 4" }, { "q": "Let m(l) = 25*l**2 - 596. Let g(i) = 107*i. What is g(m(b))?", "a": "2675*b**2 - 63772" }, { "q": "Let v(f) be the third derivative of 4*f**5/15 - 1514*f**2. Let w(i) = 5*i**2 - 8. Give v(w(b)).", "a": "400*b**4 - 1280*b**2 + 1024" }, { "q": "Let h(l) = -l**2 + 56. Let w(u) = 369*u + 77. Give h(w(g)).", "a": "-136161*g**2 - 56826*g - 5873" }, { "q": "Let v(r) = r. Let h(m) be the second derivative of m**4/12 - 29*m**3/3 - 33*m**2/2 - 46*m - 1. Let d(q) be the first derivative of h(q). Give v(d(x)).", "a": "2*x - 58" }, { "q": "Let g(c) = -12*c**2 - 3*c + 3666. Let q(d) = -10*d. What is q(g(h))?", "a": "120*h**2 + 30*h - 36660" }, { "q": "Let y(r) = 2991*r**2. Let x(h) = -h**2 - 30. Give x(y(g)).", "a": "-8946081*g**4 - 30" }, { "q": "Let x(a) be the second derivative of a**3/2 + 1362*a - 1. Let l(f) be the third derivative of f**4/6 + f**2. What is l(x(z))?", "a": "12*z" }, { "q": "Let g(z) = 30*z. Suppose 3*w - 12 = -6. Let k(n) be the first derivative of 9 - 3*n**2 - 2*n**w + 2 + 4*n**2. Calculate g(k(q)).", "a": "-60*q" }, { "q": "Let t(i) = -594*i + 288*i + 308*i. Let k(p) = -485*p. Determine k(t(g)).", "a": "-970*g" }, { "q": "Let k(s) = -1264*s. Let c(b) be the third derivative of -b**4/8 + 1268*b**2. Determine c(k(w)).", "a": "3792*w" }, { "q": "Let q(z) = -z**2. Let t(b) = -b**2 - 19*b + 27. Let g be t(-19). Suppose -4*x = -x - g. Let s(n) = -3*n**2 - 10*n**2 - n**2 - x*n**2. Determine s(q(l)).", "a": "-23*l**4" }, { "q": "Let s(b) = -4*b**2. Let t(q) be the third derivative of 0*q + 0*q**3 + 2 - 19/60*q**5 + 0*q**4 - 2*q**2. Calculate t(s(d)).", "a": "-304*d**4" }, { "q": "Let i be -1*(-1 - -2) + (-148)/(-148). Let t(y) be the first derivative of -13 - 1/2*y**2 + i*y. Let v(f) = -12*f. Calculate t(v(w)).", "a": "12*w" }, { "q": "Let h(q) = -q. Let s = 407/5 - 4859/60. Let t(a) be the third derivative of 0*a - s*a**4 + 0 - 8*a**2 + 0*a**3. Give t(h(p)).", "a": "10*p" }, { "q": "Let y(n) = -7*n**2. Let p(o) = 1771910*o**2. Determine p(y(s)).", "a": "86823590*s**4" }, { "q": "Let u(r) = 2636*r**2 - r + 8. Let k(f) = -f. Calculate k(u(q)).", "a": "-2636*q**2 + q - 8" }, { "q": "Let b(i) be the third derivative of -7*i**6/240 - i**4/8 + i**2. Let s(q) be the second derivative of b(q). Let h(n) = -132*n + 267*n - 137*n. What is h(s(f))?", "a": "42*f" }, { "q": "Let f(o) = -2*o. Let w(l) = -140*l**2 - 177*l**2 - 512*l**2. Determine f(w(k)).", "a": "1658*k**2" }, { "q": "Let n(j) be the second derivative of -11*j**4/12 + 48*j. Let m(y) be the first derivative of -2*y**3 - 64. What is n(m(d))?", "a": "-396*d**4" }, { "q": "Let m(k) = -k**2. Let x(t) be the second derivative of 2*t**7/315 + 3*t**4 + 10*t + 1. Let y(i) be the third derivative of x(i). Give y(m(c)).", "a": "16*c**4" }, { "q": "Let x(b) = 33*b**2. Let w(s) = 3*s**2 - 35*s - 10. Let j(y) = 2*y**2 - 21*y - 6. Let z(d) = -10*j(d) + 6*w(d). Determine z(x(n)).", "a": "-2178*n**4" }, { "q": "Let p(w) = 311*w - 33 + 69 - 36 - 126*w. Let i(u) = u. Give p(i(l)).", "a": "185*l" }, { "q": "Let h(o) = -o - 13. Let g(f) = -722*f + 99. Determine h(g(l)).", "a": "722*l - 112" }, { "q": "Let w(p) = 8*p. Let s(a) = -21*a - 10. Let u(v) = -13*v - 7. Let q(j) = 5*s(j) - 8*u(j). Determine w(q(z)).", "a": "-8*z + 48" }, { "q": "Let n(r) = 2*r**2. Let t(u) = u**3 + 5*u**2 - 4*u - 9. Let k be t(-5). Let p = -9 + k. Let c(f) = -12*f**2 - 7*f**2 + 6*f**2 - 10*f**p. Determine c(n(o)).", "a": "-92*o**4" }, { "q": "Let n(a) = -4*a**2 - 27*a - 11. Let r(w) = -w**2 + 2*w + 1. Let p(l) = n(l) - 3*r(l). Let b(d) be the first derivative of p(d). Let x(f) = f. Calculate b(x(z)).", "a": "-2*z - 33" }, { "q": "Let q(w) = -w**2. Let r = 2710 - 2700. Let k(u) be the second derivative of -r*u - 3/2*u**4 + 0 + 0*u**2 + 0*u**3. Give k(q(x)).", "a": "-18*x**4" }, { "q": "Let m(n) = 41*n. Let a(i) = 61866*i**2 + i. Determine m(a(x)).", "a": "2536506*x**2 + 41*x" }, { "q": "Let i(x) = 11*x**2. Let s(f) = -5*f**2 - 4*f + 65. Let c(j) = 9*j**2 + 7*j - 129. Let w(t) = 4*c(t) + 7*s(t). Give w(i(h)).", "a": "121*h**4 - 61" }, { "q": "Let b(j) be the second derivative of 0*j**2 - 3*j - 1 + 17/6*j**3. Let m(k) = -7*k + 5. Let d(g) = 3*g - 2. Let l(r) = 10*d(r) + 4*m(r). What is l(b(s))?", "a": "34*s" }, { "q": "Let v(k) = -k. Let u(n) = -1187*n**2 - 4*n - 296. What is v(u(h))?", "a": "1187*h**2 + 4*h + 296" }, { "q": "Let z(j) = 20*j - 1. Let x(f) = -f**2 - 4*f**2 - 15*f**2 + 37*f**2 - f**2. What is x(z(d))?", "a": "6400*d**2 - 640*d + 16" }, { "q": "Let y(k) = -2*k + 17. Let n(r) = r**2 + 9*r. Let v(c) = 9*c**2 + 72*c. Let d(w) = 24*n(w) - 3*v(w). Calculate d(y(l)).", "a": "-12*l**2 + 204*l - 867" }, { "q": "Let k(o) = 2004 - o**2 + 2*o**2 - 1965. Let r(p) = 9*p**2. What is r(k(v))?", "a": "9*v**4 + 702*v**2 + 13689" }, { "q": "Let v(o) = 13*o**2 + 20. Let h(t) = -28*t**2 - 33. Let g(s) = 3*h(s) + 5*v(s). Let l(x) = -48*x**2. Calculate g(l(m)).", "a": "-43776*m**4 + 1" }, { "q": "Let i(j) = -8*j**2. Let u(k) be the second derivative of -k**6/60 + 37*k**3/3 - 2*k + 3. Let z(s) be the second derivative of u(s). What is i(z(n))?", "a": "-288*n**4" }, { "q": "Let t = 33 - 31. Let m be t + (2 - 0)*(-4)/(-1). Let z(r) = 4 - m + r + 6. Let s(v) = -17*v. Calculate z(s(q)).", "a": "-17*q" }, { "q": "Let v(k) be the second derivative of k**4/6 - 2*k. Let z(h) be the first derivative of -15*h**2 - 842. What is z(v(d))?", "a": "-60*d**2" }, { "q": "Let y(d) = -3*d**2 + d + 11. Let l(b) = -2*b**2 + b. Let z(a) = -l(a) + y(a). Let k(w) be the first derivative of z(w). Let r(i) = -33*i**2. Determine r(k(j)).", "a": "-132*j**2" }, { "q": "Let s(g) = -32*g - 231. Let y(i) = -48*i - 330. Let f(a) = -10*s(a) + 7*y(a). Let j(h) = 45*h**2. Give j(f(d)).", "a": "11520*d**2" }, { "q": "Let u(j) be the third derivative of 2*j**4 + 3*j**2. Let l(b) be the first derivative of 3*b**2/2 + 3306. Determine u(l(k)).", "a": "144*k" }, { "q": "Let i(o) = -o**2. Let t(h) = h**2 + 75*h + 476. Let u be t(-7). Let q(w) be the second derivative of -5*w - 11/6*w**3 + u*w**2 + 0. Give q(i(c)).", "a": "11*c**2" }, { "q": "Let d(n) = -840583*n. Let v(s) = -18*s. Calculate v(d(r)).", "a": "15130494*r" }, { "q": "Let u(p) = 38*p**2 + 3*p - 6. Let g(c) = 342*c**2 + 26*c - 52. Let h(z) = 6*g(z) - 52*u(z). Let t(k) be the first derivative of -2*k**3/3 + 14. What is t(h(i))?", "a": "-11552*i**4" }, { "q": "Let o(j) = -2*j - 248. Let p(c) = c + 155. Let i(s) = 5*o(s) + 8*p(s). Let g(t) = -78*t**2. Calculate g(i(k)).", "a": "-312*k**2" }, { "q": "Let z(y) = 2*y. Suppose 3*o + 2*j - 15 = 7*j, j - 25 = -5*o. Let u be 52/10 - 1/o. Let a(b) = 7*b - u*b - b. Determine a(z(x)).", "a": "2*x" }, { "q": "Let p(b) = 4*b + 164. Let j(d) = -769*d. What is j(p(w))?", "a": "-3076*w - 126116" }, { "q": "Let h(k) = -56*k**2. Let v(t) = 14591*t**2 - 12*t + 12*t - 14599*t**2. Give h(v(b)).", "a": "-3584*b**4" }, { "q": "Let d(w) = 5*w**2. Let y be (4/14 + (-4)/(-35))*10. Let a(c) = -3*c - y*c - c + 2*c. Calculate a(d(g)).", "a": "-30*g**2" }, { "q": "Let r(y) = 25*y**2 - 7102. Let b(k) = -4*k. Give b(r(i)).", "a": "-100*i**2 + 28408" }, { "q": "Let o(g) = 35*g - 13*g - 13*g - 16*g. Let r(n) be the second derivative of n**4/12 + 64*n. Determine o(r(z)).", "a": "-7*z**2" }, { "q": "Let r(v) = 127 - 42 - 38 + 169*v - 45 + 90*v. Let k(g) = -2*g**2. Determine r(k(z)).", "a": "-518*z**2 + 2" }, { "q": "Let l(y) = 2*y + 192 + 169 - 361. Let v(t) = -2*t**2 + 44*t. Calculate v(l(z)).", "a": "-8*z**2 + 88*z" }, { "q": "Let v(d) = -40373*d**2 - 5. Let n(g) = g. Calculate v(n(b)).", "a": "-40373*b**2 - 5" }, { "q": "Let g = -34 + 56. Suppose g*b - 20*b = 16. Let j(a) = -b*a**2 + 5*a**2 + 3*a**2 + 2*a**2. Let l(w) = -4*w. Determine j(l(c)).", "a": "32*c**2" }, { "q": "Let o(i) = 632569*i**2. Let t(x) = -7*x**2. Calculate o(t(q)).", "a": "30995881*q**4" }, { "q": "Let a(k) = -107*k**2. Let l(o) = -5*o + 4. Let m(g) = -11*g + 9. Let w(z) = 9*l(z) - 4*m(z). Calculate a(w(t)).", "a": "-107*t**2" }, { "q": "Let j(d) = 16*d**2. Let l(g) = -1239654*g. Give j(l(w)).", "a": "24587872635456*w**2" }, { "q": "Let y(c) = 2475*c. Let m(r) = 5504*r. Calculate y(m(x)).", "a": "13622400*x" }, { "q": "Let o(c) = -11 + 25 - 20 + 9*c - 9. Let r(f) = f - 1. Let d(t) = -o(t) + 15*r(t). Let h(l) = -14*l**2. Determine d(h(x)).", "a": "-84*x**2" }, { "q": "Let c(z) = -4*z. Suppose 173 = 5*l - 42. Let g = 45 - l. Let v(n) = -3*n**2 + 4*n**2 + 5*n**g. Give v(c(q)).", "a": "96*q**2" }, { "q": "Let d(n) = 9835*n. Let s(i) = -340*i. Calculate s(d(x)).", "a": "-3343900*x" }, { "q": "Let k(f) = 25*f**2. Let w = 35 - 34. Let g(d) = 4*d**2 - 2*d. Let u(s) = s**2 - s. Let a(y) = w*g(y) - 2*u(y). Give k(a(c)).", "a": "100*c**4" }, { "q": "Let x(d) = 26*d. Let h(r) = -3977*r**2 + 12*r. Give x(h(m)).", "a": "-103402*m**2 + 312*m" }, { "q": "Let l(g) = 2*g**2 - 4*g**2 + 0*g**2. Let f(u) be the first derivative of 0*u**2 + 0*u - 15 + 1/3*u**3. What is l(f(n))?", "a": "-2*n**4" }, { "q": "Let q(g) = -g**2 - g. Let d(i) = 4*i**2 + 3*i. Let r(a) = -2*d(a) - 6*q(a). Let s = -13 - -15. Let u(c) = c**2 - 5*c**2 - c**2 - c**s. Calculate u(r(v)).", "a": "-24*v**4" }, { "q": "Let m(w) = 612*w**2 - 5*w + 10. Let n(z) = 1530*z**2 - 12*z + 24. Let p(t) = -12*m(t) + 5*n(t). Let k(r) = r**2. What is k(p(j))?", "a": "93636*j**4" }, { "q": "Let r(k) = -3*k + 231. Let c(y) = y - 66. Let l(d) = 7*c(d) + 2*r(d). Let a(j) be the first derivative of 9*j**2 + 2. Give a(l(s)).", "a": "18*s" }, { "q": "Let k(g) = -3*g**2 + 677612 - 677612. Let u(r) = -11*r**2 - 5. Let y(v) = 6*v**2 + 3. Let j(h) = 3*u(h) + 5*y(h). Calculate j(k(l)).", "a": "-27*l**4" }, { "q": "Let x(r) = 20806*r**2. Let h(u) = 13*u + 3. What is h(x(s))?", "a": "270478*s**2 + 3" }, { "q": "Let p(c) = 45*c - 45*c + 2*c**2. Let m(k) be the second derivative of 5*k**4/6 - 6*k + 123. What is m(p(v))?", "a": "40*v**4" }, { "q": "Let z(g) = 1285 + g + 1275 + 2*g - 2560. Let r(j) = -j**3 - 4*j**2 - 2*j + 3. Let t be r(-3). Let k(f) = -2*f + t + 0. What is k(z(y))?", "a": "-6*y" }, { "q": "Let d(z) = -z. Let m(v) = 141*v**2 - 2*v - 6. Let c = 16 - 31. Let g(x) = -987*x**2 + 15*x + 45. Let s(j) = c*m(j) - 2*g(j). Determine d(s(f)).", "a": "141*f**2" }, { "q": "Let s(a) = -a**2. Let f(q) = 2 - 14 + 9 - 2 - 4 + 8*q. What is f(s(t))?", "a": "-8*t**2 - 9" }, { "q": "Let m(w) = -4*w**2. Let l be -2 + (-6 - -2) + 2. Let k be l/(-6)*((6 - 3) + 0). Let f(y) = -74*y**2 - k + 2 + 80*y**2. Determine m(f(a)).", "a": "-144*a**4" }, { "q": "Let f(y) = -56007*y**2. Let k(b) = -166*b**2. What is f(k(o))?", "a": "-1543328892*o**4" }, { "q": "Let f(d) = d + 9. Let v(m) = 4*m - 12. Let r(t) = -4*f(t) - 3*v(t). Let a(y) = 4*y**2 - 1 + 1. Determine a(r(h)).", "a": "1024*h**2" }, { "q": "Let v(x) = 18103*x**2 + 2*x - 23. Let w(i) = -2*i**2. Give v(w(h)).", "a": "72412*h**4 - 4*h**2 - 23" }, { "q": "Let u(i) be the second derivative of -i**4/3 + 19*i + 13. Let v(r) be the second derivative of 4*r**4/3 + 2*r. Determine v(u(g)).", "a": "256*g**4" }, { "q": "Let m(r) = 4*r. Let k be -21 - 1302/(-56) - 2/(-8)*-1. Let b(f) be the second derivative of -18*f + 0 + 0*f**k + 1/2*f**3. What is b(m(i))?", "a": "12*i" }, { "q": "Let n(o) = -2*o. Let w(c) = -1092*c**2 - 657*c**2 + 77*c**2. What is w(n(s))?", "a": "-6688*s**2" }, { "q": "Let t(q) = -17*q + 16. Let m(b) = 4*b - 4. Let o(f) = -4*m(f) - t(f). Let k(a) = 65*a**2 - 2*a. What is o(k(n))?", "a": "65*n**2 - 2*n" }, { "q": "Let o(p) = p**2. Let q(l) = 1233418*l**2. Give o(q(m)).", "a": "1521319962724*m**4" }, { "q": "Let y(g) be the third derivative of -19*g**5/30 + 1553*g**2. Let w(l) = -16*l. Determine y(w(c)).", "a": "-9728*c**2" }, { "q": "Let j(c) = -c**3 + 12*c**2 + 2*c - 7. Let u be j(12). Suppose 13 = h - u. Let s(i) = -h*i + 15*i + 13*i. Let l(r) = 13*r. What is l(s(k))?", "a": "-26*k" }, { "q": "Let h(p) = 15097918*p. Let a(z) = 2*z**2. Calculate h(a(j)).", "a": "30195836*j**2" }, { "q": "Let h(j) = -212 + 0*j**2 + 212 - j**2 - 4*j**2. Let n(g) = 406*g**2. What is n(h(a))?", "a": "10150*a**4" }, { "q": "Let o(r) = 18*r**2. Let y(b) = 3*b + 135. Let h be y(-45). Let t(n) be the first derivative of h*n + 0*n**2 + 8 - 2/3*n**3. Determine t(o(m)).", "a": "-648*m**4" }, { "q": "Let u(p) = 2*p - 17*p - 13*p + 4*p - 4*p. Let c(l) = -4*l**2 + 2*l. Calculate u(c(s)).", "a": "112*s**2 - 56*s" }, { "q": "Let u(f) = 2 - 3*f**2 + 3 - 7. Let a(m) = -48*m**2 - 33. Suppose 2978 - 2021 = 29*q. Let p(l) = q*u(l) - 2*a(l). Let v(h) = -2*h**2. Determine p(v(w)).", "a": "-12*w**4" }, { "q": "Let t(m) = -12344*m. Let l(d) = -111*d**2 - 1. What is t(l(q))?", "a": "1370184*q**2 + 12344" }, { "q": "Let h(b) be the third derivative of 65*b**4/24 - b**3/6 + 2*b**2 + 167*b - 5. Let n(s) = 2*s - s + s. Calculate h(n(l)).", "a": "130*l - 1" }, { "q": "Let w(g) = 13*g - 2 - 6 + 2 + 48. Let m(l) = -l**2. Determine m(w(b)).", "a": "-169*b**2 - 1092*b - 1764" }, { "q": "Let p(u) = -141557*u + 17*u**2 - 3*u**2 + 19*u**2 + 141586*u. Let o(h) = -2*h**2. Calculate p(o(r)).", "a": "132*r**4 - 58*r**2" }, { "q": "Let u(y) = -52*y**2 - 37*y - 10. Let l(w) = 16*w**2 + 12*w + 3. Let r(a) = 10*l(a) + 3*u(a). Let t(z) = -2*z. Determine t(r(d)).", "a": "-8*d**2 - 18*d" }, { "q": "Let q(u) = 26*u**2. Let v(b) = 14*b**2 - 1 + 3 - 15*b**2 - 5*b. Let n be v(-3). Let r(z) = 7*z - n*z + 3*z. Determine q(r(g)).", "a": "104*g**2" }, { "q": "Let j(l) = 2*l + 48. Let x(v) be the third derivative of 3*v**2 + 0*v**3 + 0*v**4 + 0 + 1/30*v**5 + 2*v. Give x(j(t)).", "a": "8*t**2 + 384*t + 4608" }, { "q": "Let z(u) = 21*u. Let m(c) = 29953*c**2 - 2. Determine z(m(n)).", "a": "629013*n**2 - 42" }, { "q": "Let f(z) = 400*z**2. Let a(q) = 6008*q. Give f(a(g)).", "a": "14438425600*g**2" }, { "q": "Let f(k) = -k**2. Let r(b) be the first derivative of 115*b**3/3 + b - 278. Determine r(f(i)).", "a": "115*i**4 + 1" }, { "q": "Let n(r) = -35*r - 5. Let v(p) = -18*p - 3. Let z(s) = -6*n(s) + 10*v(s). Let w(d) be the first derivative of -d**3/3 - 711. Give z(w(c)).", "a": "-30*c**2" }, { "q": "Let f(d) be the first derivative of -2*d**3 - 345. Let z(u) = -299*u + 2. Give f(z(w)).", "a": "-536406*w**2 + 7176*w - 24" }, { "q": "Let j(c) = -3*c**2. Suppose 88*u + 10 = 90*u. Let g(b) = -18*b + 12*b + u*b + 6*b. Give g(j(f)).", "a": "-15*f**2" }, { "q": "Let i(v) = -4724764*v**2. Let h(s) = -s**2. What is i(h(b))?", "a": "-4724764*b**4" }, { "q": "Let j = -31 - -33. Let u(n) = 28 - 38 + 48 - 2*n**j. Let y(a) = -a**2. Calculate y(u(l)).", "a": "-4*l**4 + 152*l**2 - 1444" }, { "q": "Suppose 2*f = 4*f - 4*g - 42, 0 = -4*f + g + 70. Let m(v) = 128*v**2 + f*v**2 - 11*v**2. Let r(p) = p**2. Give r(m(d)).", "a": "17956*d**4" }, { "q": "Let t(k) be the second derivative of -31*k**3/2 - k**2/2 + 12*k + 4. Let m(c) = -12*c. Determine m(t(f)).", "a": "1116*f + 12" }, { "q": "Let w(p) = p**2. Let h(o) be the third derivative of 899*o**4/12 - 1367*o**2. What is w(h(q))?", "a": "3232804*q**2" }, { "q": "Suppose 5*x + 8*j = 7*j + 115 - 25, 0 = -2*j. Let h(v) be the first derivative of -2/3*v**3 + 0*v**2 + 0*v - x. Let l(s) = s**2. What is h(l(a))?", "a": "-2*a**4" }, { "q": "Let u(w) = -2*w. Let z(g) be the third derivative of -317*g**5/20 - 1391*g**2. What is u(z(k))?", "a": "1902*k**2" }, { "q": "Let b(x) = -22*x**2 + 2*x + 2. Let p(d) = -101*d**2 + 9*d + 9. Let r(m) = -18*b(m) + 4*p(m). Let i(s) = -10*s**2. What is i(r(g))?", "a": "-640*g**4" }, { "q": "Let d(s) be the second derivative of -47*s**4/12 + 4*s + 71. Let l(f) = 2*f. Determine d(l(h)).", "a": "-188*h**2" }, { "q": "Let o(s) = -100*s**2 - 98*s**2 + 192*s**2. Let l(y) = -252*y**2. Give l(o(d)).", "a": "-9072*d**4" }, { "q": "Let l(g) = -15*g**2. Let n(o) be the second derivative of 0*o**2 - 61*o + 0 + 1/6*o**3. What is n(l(u))?", "a": "-15*u**2" }, { "q": "Let b = 72 - 64. Let v(x) = -b*x - 411 + 411. Let d(y) = 9*y. Give v(d(w)).", "a": "-72*w" }, { "q": "Let j(y) = 135418*y. Let l(n) = 5*n**2 - 4. Give j(l(m)).", "a": "677090*m**2 - 541672" }, { "q": "Let c(g) be the first derivative of -11*g**2/2 - 2*g - 366. Let w(o) = 6*o**2. What is w(c(t))?", "a": "726*t**2 + 264*t + 24" }, { "q": "Let j(l) = l + 5*l - 2*l - 2*l. Let p(c) = 56*c**2 + 21*c + 21. Let y(z) = 3*z**2 + z + 1. Let o(k) = -2*p(k) + 42*y(k). Determine o(j(f)).", "a": "56*f**2" }, { "q": "Let j(v) = -2*v. Let q(f) be the second derivative of -f**2/2 - 19*f. Let r(d) = 2*d + 60. Let n(x) = -q(x) + r(x). Give j(n(z)).", "a": "-4*z - 122" }, { "q": "Let r(z) = -3*z. Let f(q) = 27*q + 158. Let i(v) = -86*v - 472. Let l(c) = 19*f(c) + 6*i(c). Calculate l(r(b)).", "a": "9*b + 170" }, { "q": "Let q(v) be the first derivative of -52*v**3/3 + 725. Let j(z) = 14*z. Calculate j(q(b)).", "a": "-728*b**2" }, { "q": "Let l(q) = 32*q**2. Let z(g) be the second derivative of -g**5/60 + 17*g**2 - 2*g - 6. Let o(y) be the first derivative of z(y). Give o(l(x)).", "a": "-1024*x**4" }, { "q": "Let u(o) = 503*o**2 - 251*o**2 - 244*o**2. Let y(i) = 2*i**2. Calculate y(u(m)).", "a": "128*m**4" }, { "q": "Let q(m) = m**2. Suppose c + 4*c + 2134 = n, 2*c = 4*n - 8572. Let t(f) = 2149 - 3*f - 2*f - n. Give q(t(a)).", "a": "25*a**2 - 50*a + 25" }, { "q": "Let w(r) = r. Let y(h) = -h. Let o(v) = 4*w(v) + y(v). Let l(k) be the third derivative of -5*k**2 + 0*k + 5/12*k**4 + 0*k**3 + 0. What is o(l(z))?", "a": "30*z" }, { "q": "Let h(a) be the second derivative of a**4/12 - a. Let s(z) = 94*z**2 - 49*z - 7. Let c(d) = -86*d**2 + 42*d + 6. Let j(u) = 7*c(u) + 6*s(u). Give h(j(l)).", "a": "1444*l**4" }, { "q": "Let o(q) = -6*q**2. Let s(y) = 22*y + 27. Let k(n) be the third derivative of -11*n**4/24 - 2*n**3 + 3*n**2 + 1. Let d(p) = 9*k(p) + 4*s(p). Give o(d(r)).", "a": "-726*r**2" }, { "q": "Let y(s) = 71*s - 69*s - 4*s. Let a(l) = l**2 - 390*l. Calculate a(y(d)).", "a": "4*d**2 + 780*d" }, { "q": "Let l(i) = 7*i**2. Let d(s) be the first derivative of 0*s - 52 + 0*s**2 + 2/3*s**3. Calculate l(d(b)).", "a": "28*b**4" }, { "q": "Let n(v) = 56*v**2 - 63*v**2 + 66*v**2. Let y(s) be the third derivative of -s**5/20 - 4*s**2. Determine n(y(u)).", "a": "531*u**4" }, { "q": "Let f(k) = 736*k - 123. Let n(h) = -h - 14. Give n(f(v)).", "a": "-736*v + 109" }, { "q": "Let v(x) = 31*x - 12. Let n(b) = -88*b + 34. Let i(t) = 6*n(t) + 17*v(t). Let l(g) = 483*g**2. What is i(l(w))?", "a": "-483*w**2" }, { "q": "Let i(u) = -448141*u. Let m(z) = -33*z**2. What is m(i(w))?", "a": "-6627401744073*w**2" }, { "q": "Let x = -52 + 75. Let g(c) = -20*c + 36*c - x*c. Let f(m) = -8*m**2. Calculate f(g(j)).", "a": "-392*j**2" }, { "q": "Let x(h) = 2*h + 4. Let z(l) = -l**2 - 7*l - 14. Let q(m) = 7*x(m) + 2*z(m). Let n(u) = 2*u - 106 - u - 2*u + 24. What is q(n(o))?", "a": "-2*o**2 - 328*o - 13448" }, { "q": "Let u(c) = 550*c. Let w(k) = -24158*k. Give u(w(g)).", "a": "-13286900*g" }, { "q": "Let l(y) = 1207041*y**2 + 15742*y - 23613. Let x(q) = -460*q**2 - 6*q + 9. Let s(h) = 6*l(h) + 15742*x(h). Let d(z) = -3*z**2. Give d(s(u)).", "a": "-2572428*u**4" }, { "q": "Let p(d) = 22*d. Let f(r) be the first derivative of -1/12*r**4 + 15 + 0*r**3 + 0*r**2 + 18*r. Let n(y) be the first derivative of f(y). Give p(n(i)).", "a": "-22*i**2" }, { "q": "Let m(i) = 112*i + 258. Let q(k) = 37*k + 91. Let u(v) = -6*m(v) + 17*q(v). Let j(w) = -2*w**2. Determine u(j(y)).", "a": "86*y**2 - 1" }, { "q": "Let v(o) = -41*o. Let h(p) be the third derivative of -1/12*p**4 + 0*p**3 + 0*p + 5*p**2 + 6. Give h(v(k)).", "a": "82*k" }, { "q": "Let v(i) = -6*i**2. Let c(l) = 29*l + 35*l - 5*l. What is v(c(s))?", "a": "-20886*s**2" }, { "q": "Let w(d) = -554540*d**2. Let s(y) = -25*y**2. Determine w(s(b)).", "a": "-346587500*b**4" }, { "q": "Let x(i) be the third derivative of -4*i**4 + i**2 - 2392*i. Let l(j) = 4*j**2 + 0*j**2 - 3*j**2. Give x(l(w)).", "a": "-96*w**2" }, { "q": "Let g(j) = -15*j. Let u(o) = -8*o. Let h(y) = -4*g(y) + 7*u(y). Suppose -6*l + 16 - 4 = 0. Let n(m) = 0*m**2 + 33*m**2 - 37*m**l. Give n(h(a)).", "a": "-64*a**2" }, { "q": "Let c(l) = 3*l**2. Let u(w) = -25 - 69 - 1804*w - 66 - 45. Let h(o) = 53*o + 6. Let i(p) = 205*h(p) + 6*u(p). Determine i(c(s)).", "a": "123*s**2" }, { "q": "Let s(x) = -x**2 - x + 2. Let d(i) = -303*i**2 - 202*i + 404. Let z(t) = -d(t) + 202*s(t). Let f(n) = 5*n. Determine f(z(j)).", "a": "505*j**2" }, { "q": "Let d(j) = -14*j + 1. Let z(w) = 51821*w - 2. Give z(d(l)).", "a": "-725494*l + 51819" }, { "q": "Let i(g) = 25487*g. Let s(y) = 272*y. What is i(s(a))?", "a": "6932464*a" }, { "q": "Let c(y) = 2*y + 2. Let x(h) = 108969*h. Give x(c(d)).", "a": "217938*d + 217938" }, { "q": "Let t(d) = -5375*d - 2. Let n(g) = 15*g. What is t(n(a))?", "a": "-80625*a - 2" }, { "q": "Let l(r) = 190*r**2. Let g(q) = -42. Let o(s) = -2*s + 21. Let v(m) = -2*g(m) - 4*o(m). Give l(v(t)).", "a": "12160*t**2" }, { "q": "Let x(m) be the third derivative of -m**7/560 + 2*m**5/15 + m**3/6 - m**2 + 10. Let r(g) be the third derivative of x(g). Let l(k) = 2*k**2. Determine r(l(d)).", "a": "-18*d**2" }, { "q": "Let f(t) be the second derivative of -455*t**4/12 - 4*t - 106. Let w(b) = 4*b**2. Give f(w(a)).", "a": "-7280*a**4" }, { "q": "Let w = 39 - 34. Let i(q) = -w*q - 22 + 15 + 7. Let z(s) = 7*s. Determine z(i(b)).", "a": "-35*b" }, { "q": "Let p(w) = w + 102. Let x(r) = 2*r - 11444. Calculate p(x(s)).", "a": "2*s - 11342" }, { "q": "Let w(c) = 122*c. Let h(q) = 16*q**2 - 5*q**2 - 15 + 15. Give w(h(g)).", "a": "1342*g**2" }, { "q": "Let j(h) = 4*h**2 - 358*h + 67 - 67 + 358*h. Let a(b) = -b + 1. Let m(u) = -4*u + 1. Let r(f) = a(f) - m(f). Determine j(r(g)).", "a": "36*g**2" }, { "q": "Let o = -23 - -48. Suppose -5*t + 6*b = 3*b - 16, 2*t + 5*b = o. Let r(k) = 15*k**2 - t*k**2 - 8*k**2. Let s(p) = -2*p. Calculate s(r(y)).", "a": "-4*y**2" }, { "q": "Let o(j) be the second derivative of j**3/3 + j + 39. Let y(z) = -65*z**2. Determine y(o(i)).", "a": "-260*i**2" }, { "q": "Let q(x) = 4227*x. Let z(n) = -781*n. What is q(z(b))?", "a": "-3301287*b" }, { "q": "Let w(c) be the third derivative of 0*c**3 + 0 - 1/30*c**5 - 2*c**2 + 0*c**4 + 0*c. Let f(m) be the first derivative of -3*m**2 - 64. Give w(f(y)).", "a": "-72*y**2" }, { "q": "Let v(c) = c. Suppose -2*z + 6 = 0, 5*a + 4*z = -0*a + 2792. Let p(b) = -a - 6*b**2 + 556. Calculate p(v(y)).", "a": "-6*y**2" }, { "q": "Let u(x) = 11*x**2. Let d(y) be the first derivative of -1/6*y**3 - 12*y - 4 + 0*y**2. Let j(p) be the first derivative of d(p). Give j(u(w)).", "a": "-11*w**2" }, { "q": "Let q(j) = 1391*j. Let u(w) = -3948*w. Determine u(q(p)).", "a": "-5491668*p" }, { "q": "Let k(p) = -25*p**2. Let s(i) = -199*i**2 + 454*i**2 - 186*i**2. Determine s(k(q)).", "a": "43125*q**4" }, { "q": "Let d(j) = j + 21. Let l(a) be the third derivative of -a**4/12 + 4*a**2 + 160*a. Determine d(l(x)).", "a": "-2*x + 21" }, { "q": "Let g(d) = -69*d**2 + 73*d. Let u(j) = -103*j - 1. Give u(g(r)).", "a": "7107*r**2 - 7519*r - 1" }, { "q": "Let q(d) = 6*d. Let n(f) = 9*f + 2*f - 2 + 2. Let c(x) = 3*n(x) - 5*q(x). Let o(p) be the third derivative of -p**5/30 + 4*p**2. What is o(c(u))?", "a": "-18*u**2" }, { "q": "Let s(m) = 20 + 19 + 17 + 26*m - 56. Let o(n) = -651*n. Let t = 159 + -285. Let u(b) = t*s(b) - 5*o(b). Let r(w) = -w. Determine u(r(f)).", "a": "21*f" }, { "q": "Let l(u) = -4*u + 65. Let y be l(15). Let c(n) = -9*n**2 + 5 + 3*n**2 - y. Let i(k) = 7*k. What is c(i(b))?", "a": "-294*b**2" }, { "q": "Let c(y) = y**2. Let b(m) = 5011128*m. Determine c(b(n)).", "a": "25111403832384*n**2" }, { "q": "Let k(n) = -35*n + 10776. Let r(t) = 13*t. Determine k(r(o)).", "a": "-455*o + 10776" }, { "q": "Let a(g) = -8*g**2 + 163172*g. Let m(l) = -2*l. Calculate m(a(z)).", "a": "16*z**2 - 326344*z" }, { "q": "Let o(q) be the first derivative of -q**2 - 215. Let r(c) = -297*c. Give r(o(z)).", "a": "594*z" }, { "q": "Let f(a) = a. Let x(i) = 42*i**2 - 2*i. Let q(c) = 13*c**2 - c. Let d(l) = -21*q(l) + 6*x(l). What is d(f(k))?", "a": "-21*k**2 + 9*k" }, { "q": "Let i(k) = -69 + 83*k - 94 + 163. Let t(c) = 14*c**2. Give i(t(u)).", "a": "1162*u**2" }, { "q": "Let r(q) = -33*q. Let k(i) = -410*i - 4. Determine k(r(u)).", "a": "13530*u - 4" }, { "q": "Let o(r) = r - 829*r**2 - r - 666*r**2 + 249*r**2. Let c(z) = -2*z**2. Determine c(o(h)).", "a": "-3105032*h**4" }, { "q": "Let o(c) = -15*c**2 - 5. Let s(g) = 26*g**2 + 9. Let r(a) = -9*o(a) - 5*s(a). Let h(l) = 3*l - 14. Calculate r(h(k)).", "a": "45*k**2 - 420*k + 980" }, { "q": "Let w(d) = 3*d. Let t(l) = 1438*l + 1431*l - 2915*l. What is w(t(s))?", "a": "-138*s" }, { "q": "Suppose 3*a - 2*a - 41 = -4*q, -4*a - 5*q + 109 = 0. Let f(x) = 6*x - 7*x + a*x. Let p(z) be the third derivative of -z**4/12 - 2320*z**2. What is f(p(k))?", "a": "-40*k" }, { "q": "Let j(t) = 7*t**2. Let o(l) = -2578774*l**2. Determine o(j(s)).", "a": "-126359926*s**4" }, { "q": "Let r(p) = 227*p. Let n(w) = 2064 + 7*w**2 - 9*w**2 - 2064. Calculate r(n(l)).", "a": "-454*l**2" }, { "q": "Let x(q) = -150387*q + 2. Let u(v) = 5*v. Give x(u(k)).", "a": "-751935*k + 2" }, { "q": "Let b(g) be the second derivative of 8*g**4/3 - 329*g. Let m(d) = 24*d. Determine b(m(v)).", "a": "18432*v**2" }, { "q": "Let u(h) be the third derivative of -h**4/8 - 18*h**2 - 5*h. Let y(s) = 87*s + 4. Calculate u(y(a)).", "a": "-261*a - 12" }, { "q": "Let w(g) = -2247191*g**2. Let d(p) = -9*p**2. Calculate d(w(k)).", "a": "-45448806514329*k**4" }, { "q": "Let h(t) = -11*t**2 - 3*t. Let b(n) = 6*n + 22*n + 120*n**2 + 3*n + n. Let d(z) = 3*b(z) + 32*h(z). Let r(x) = 3*x - x - 5*x. What is d(r(m))?", "a": "72*m**2" }, { "q": "Let u(q) = q**2. Let g(w) = 2*w - 1. Let l(d) = -d**2 - 15*d - 45. Let x be l(-11). Let m(c) = -6*c**2 + 11*c - 3. Let j(a) = x*m(a) + 3*g(a). What is u(j(r))?", "a": "36*r**4 - 60*r**3 + 25*r**2" }, { "q": "Suppose 2*g - 11202 - 16280 = 0. Let b(w) = g - w - 13741. Let o(x) = 6*x. Give o(b(u)).", "a": "-6*u" }, { "q": "Let v(t) = -1841782 + t + 1841782. Let l(d) = 0*d + 69*d + 85*d. What is l(v(b))?", "a": "154*b" }, { "q": "Let g(q) = -45*q + 8. Let n(u) = -62*u + 11. Let t(w) = -11*g(w) + 8*n(w). Let a(h) = 5*h**2 + 37*h. Determine t(a(i)).", "a": "-5*i**2 - 37*i" }, { "q": "Let z(c) be the third derivative of c**4/24 - 3*c**2 - 26. Let i(m) be the third derivative of 2*m**4 + 8*m**2. Give z(i(p)).", "a": "48*p" }, { "q": "Let x(u) = 50*u + 2. Let k be 5 - (-2)/(1 - (-15)/(-9)). Let h(o) = 14*o - k*o - 11*o. Calculate h(x(b)).", "a": "50*b + 2" }, { "q": "Let g(m) = -572*m**2. Let l(o) = 16795*o. What is g(l(w))?", "a": "-161345198300*w**2" }, { "q": "Let s(b) = -220*b**2. Let d(j) = 30998*j**2. Determine d(s(p)).", "a": "1500303200*p**4" }, { "q": "Let d(x) = -4317519*x. Let h(a) = 3*a. What is d(h(r))?", "a": "-12952557*r" }, { "q": "Let p(g) = -454*g + 16. Let n(x) = -142*x + 5. Let y(j) = -16*n(j) + 5*p(j). Let z(r) = 3181*r - 1. Determine z(y(s)).", "a": "6362*s - 1" }, { "q": "Let r(b) = 6 - 6 - 11277*b + 11276*b. Let v(l) = 334*l**2. Calculate r(v(p)).", "a": "-334*p**2" }, { "q": "Let o(m) = -21*m. Let d(k) = -174*k + 145*k + 58*k. Determine o(d(u)).", "a": "-609*u" }, { "q": "Let s(g) = -2*g + 7203. Let p(k) = -160*k. Determine s(p(f)).", "a": "320*f + 7203" }, { "q": "Let z = -76 - -80. Let x(h) = -108*h**2 + 86*h**2 + 4 - z. Let n(p) = -p + 3*p - 2*p + 2*p. Give n(x(r)).", "a": "-44*r**2" }, { "q": "Let b(o) = -o**2. Let h(v) = -1810676*v. Calculate b(h(s)).", "a": "-3278547576976*s**2" }, { "q": "Let j(x) be the third derivative of -x**5/15 - x**3/6 - 3*x**2 + 917*x. Let u(n) = -4 + 2*n**2 + 4. What is j(u(f))?", "a": "-16*f**4 - 1" }, { "q": "Let b(k) = 6739468*k**2. Let a(z) = z**2. Calculate a(b(c)).", "a": "45420428923024*c**4" }, { "q": "Let y(f) = -f - 44384. Let s(g) = 34*g. Give y(s(q)).", "a": "-34*q - 44384" }, { "q": "Let v(h) = 95*h. Let m(k) be the second derivative of k**4/2 + 4*k + 63. Determine v(m(w)).", "a": "570*w**2" }, { "q": "Let s(u) = -3*u. Let n(r) = -3*r - 4. Let c(o) = -76*o - 40. Let z(k) = -c(k) + 10*n(k). What is s(z(b))?", "a": "-138*b" }, { "q": "Let d(l) = -l**2 - 249*l - 2. Let i(t) = t**2 + 491*t + 5. Let s(o) = 5*d(o) + 2*i(o). Let z(v) = 3*v. Determine s(z(u)).", "a": "-27*u**2 - 789*u" }, { "q": "Let s(d) = 99*d**2. Let g(f) be the second derivative of -f**6/360 - f**3/3 + 3*f**2/2 + 2*f + 4. Let h(b) be the second derivative of g(b). Determine h(s(w)).", "a": "-9801*w**4" }, { "q": "Let x(a) = 32*a**2 - 77*a**2 + 4*a**2 + 34*a**2. Let c(r) = -3*r**2. Calculate x(c(b)).", "a": "-63*b**4" }, { "q": "Let m(k) = 3*k - 19. Let b(i) = -8*i + 1. Let z(s) = -35*s + 5. Let g(f) = 15*b(f) - 3*z(f). Determine g(m(l)).", "a": "-45*l + 285" }, { "q": "Let b(r) be the second derivative of -7*r**3/3 - 4*r. Let z(p) = 2 - 2 + 5*p + p + 0*p. Determine b(z(l)).", "a": "-84*l" }, { "q": "Let d(p) = -8*p**2 + 41. Let s(v) = -v - 6. Let k(b) = 2*b + 15. Let y(n) = 6*k(n) + 15*s(n). What is y(d(h))?", "a": "24*h**2 - 123" }, { "q": "Let v(w) = -275725*w. Let d(h) = -2*h**2 + 34*h. Calculate d(v(r)).", "a": "-152048551250*r**2 - 9374650*r" }, { "q": "Let i(d) = -2*d**2. Let n = 52 + -46. Suppose n*x - 60 = x. Let j(p) = x*p - 25*p + 12*p. Calculate j(i(u)).", "a": "2*u**2" }, { "q": "Let s(w) be the third derivative of w**4/4 + 70*w**2 + 2*w. Let u(g) = -57*g - 39. Let j(k) = -3*k - 2. Let h(p) = 117*j(p) - 6*u(p). Give s(h(i)).", "a": "-54*i" }, { "q": "Let b(o) = o**2. Let g(l) be the first derivative of 8*l**3/3 + l - 1180. Determine g(b(i)).", "a": "8*i**4 + 1" }, { "q": "Let r(c) be the third derivative of c**4/24 - 278*c**2. Suppose -4*x = -20 - 0. Let q(t) = 20*t**2 + x - 5. What is r(q(u))?", "a": "20*u**2" }, { "q": "Let c(n) = -2*n. Let t(a) = -a**3 - 6*a**2 - 2*a - 8. Let d be t(-6). Let b(x) = -5341*x + 5341*x + d*x**2. Calculate b(c(i)).", "a": "16*i**2" }, { "q": "Let o(i) be the third derivative of -2*i**5/15 - 19*i**2 - 52. Let q(b) = 1 - 1 + 2*b. What is o(q(d))?", "a": "-32*d**2" }, { "q": "Let h(j) = j. Let k(i) be the first derivative of 39*i**2/2 + 72. Let d(s) = -8*s. Let v(c) = -11*d(c) - 2*k(c). Give v(h(b)).", "a": "10*b" }, { "q": "Let h(n) = -249*n - 72*n + 98*n. Let q(g) = -5*g. Determine q(h(k)).", "a": "1115*k" }, { "q": "Let q(c) = 5*c**2. Let v(k) be the first derivative of -k**2/2 + 769. Determine v(q(r)).", "a": "-5*r**2" }, { "q": "Let a(o) be the second derivative of -o**6/72 + o**3/2 + o**2/2 + 34*o. Let r(f) be the second derivative of a(f). Let i(v) = -12*v. Calculate i(r(h)).", "a": "60*h**2" }, { "q": "Let z(x) = 1352*x**2. Let s(p) = -4*p + 20*p - 9*p - 6*p - 3*p. Calculate s(z(j)).", "a": "-2704*j**2" }, { "q": "Let n = -293 - -304. Let f(s) be the second derivative of 0*s**2 + 1/3*s**3 + n*s + 0. Let x(o) = 20*o**2. Give f(x(m)).", "a": "40*m**2" }, { "q": "Let v(b) = -b**2. Suppose i + 252 = 3*i. Let w = -86 + i. Let g(a) = 24*a + 29*a - w*a. Determine g(v(z)).", "a": "-13*z**2" }, { "q": "Let j(u) = 10*u**2 - 11*u**2 + 5*u - 5*u. Let o(m) = 64*m**2 - 119. Let a(x) = -23*x**2 + 40. Let t(p) = 11*a(p) + 4*o(p). Give t(j(k)).", "a": "3*k**4 - 36" }, { "q": "Let u(x) = -8*x. Let n = -2023 + 2026. Let w(k) be the first derivative of 0*k**2 - 1/3*k**n - 5 + 0*k. Calculate w(u(t)).", "a": "-64*t**2" }, { "q": "Let j(b) = 900*b**2. Let a(t) = 9*t - 1. Calculate j(a(w)).", "a": "72900*w**2 - 16200*w + 900" }, { "q": "Let f(b) = 306*b. Let s(j) = -30*j + 9. Let w(y) = 51*y - 15. Let a(k) = 5*s(k) + 3*w(k). Calculate a(f(r)).", "a": "918*r" }, { "q": "Let o(v) = 3*v**2 + 22*v - 28. Let t be o(-17). Let l(j) = -j - 465 + t. Let f(q) = 116*q. Determine l(f(h)).", "a": "-116*h" }, { "q": "Let r(y) be the second derivative of -2*y**3/3 - 1650*y. Let g(h) = 2*h - 17. Determine g(r(b)).", "a": "-8*b - 17" }, { "q": "Let s(a) = 33*a**2. Let n(f) = 2*f**2 + 4*f**2 - 51*f**2 - 135 + 135. Give s(n(r)).", "a": "66825*r**4" }, { "q": "Let g = -23 + 17. Let p(n) = -36*n + 4 + 77*n + 1 - 35*n. Let t(o) = -7*o - 6. Let k(a) = g*p(a) - 5*t(a). Let x(w) = 3*w**2. Determine x(k(b)).", "a": "3*b**2" }, { "q": "Let c(o) = -12*o. Let i(w) = w - 3. Let l be i(4). Let m(n) = 1. Let b(r) = -2*r**2 + 6 - 52706*r + 52706*r. Let s(f) = l*b(f) - 6*m(f). What is s(c(a))?", "a": "-288*a**2" }, { "q": "Let g(y) = 3*y**2. Let w(c) = c**2 + 13971*c - 3. Give w(g(i)).", "a": "9*i**4 + 41913*i**2 - 3" }, { "q": "Let b be -40 + 9 + 23 + (0 - -8). Let q(s) be the second derivative of b*s**2 - 6*s + 1/12*s**4 + 0 + 0*s**3. Let y(z) = -5*z. Determine y(q(d)).", "a": "-5*d**2" }, { "q": "Let k(s) = -1410*s. Let r(g) be the third derivative of g**5/60 - 41*g**2. Calculate k(r(m)).", "a": "-1410*m**2" }, { "q": "Let d(u) = 3*u**2. Let q(o) = 133*o + 24*o + 267*o. What is d(q(r))?", "a": "539328*r**2" }, { "q": "Let b(j) = 1402991*j. Let z(w) = 6*w. Determine b(z(x)).", "a": "8417946*x" }, { "q": "Let n(b) = -34*b**2 + 7*b. Let r(h) = 24*h**2 - 5*h. Let z(x) = 5*n(x) + 7*r(x). Let c(d) = -4*d**2 - 14. What is c(z(a))?", "a": "-16*a**4 - 14" }, { "q": "Let i(k) = -644*k. Let p(l) = -28*l**2 + 3*l**2 + 26*l**2 + 0*l + 0*l. Determine i(p(g)).", "a": "-644*g**2" }, { "q": "Let g(i) = -106946*i. Let z(a) = a**2 + 50. Determine z(g(v)).", "a": "11437446916*v**2 + 50" }, { "q": "Let x(j) = 64509*j. Let r(l) = -191*l. Calculate x(r(z)).", "a": "-12321219*z" }, { "q": "Let k(w) = -34*w**2. Let i(o) be the first derivative of o**2 + 18 - 30 - 36 + 3. Calculate k(i(m)).", "a": "-136*m**2" }, { "q": "Let r(k) = k**2 - 6*k + 3. Suppose 2*q - 58 = -66. Let i(u) = -u**2 + 4*u - 2. Let w(t) = q*r(t) - 6*i(t). Let j(l) = 3*l + 12. Calculate w(j(g)).", "a": "18*g**2 + 144*g + 288" }, { "q": "Let x(w) = -1605*w + 135. Let n(t) = 24*t - 2. Let s(f) = -135*n(f) - 2*x(f). Let q(v) = -4*v - 9. Give q(s(p)).", "a": "120*p - 9" }, { "q": "Let a(d) be the second derivative of 19*d**4/3 + d. Let u(q) = -4184*q + 8211*q - 4029*q. Determine a(u(n)).", "a": "304*n**2" }, { "q": "Let l(r) = 2*r + 181. Let s(c) = 3*c**2 + 744*c + 1. What is l(s(x))?", "a": "6*x**2 + 1488*x + 183" }, { "q": "Let a(l) be the first derivative of 2*l**3/3 - 1421. Let w(b) = 5*b**2 - 97. What is a(w(g))?", "a": "50*g**4 - 1940*g**2 + 18818" }, { "q": "Suppose 4*z = 5*q - 153195, -3*q + 26958 + 64966 = -z. Let l(o) = q*o - 30643*o + 12*o**2. Let f(x) = -2*x. Give l(f(j)).", "a": "48*j**2" }, { "q": "Let s(o) = 2*o. Let u(f) = 183*f - 10. Let m(j) = -158*j + 12. Let b(a) = 80*a - 6. Let d(n) = -13*b(n) - 6*m(n). Let c(y) = 5*d(y) + 3*u(y). Give s(c(l)).", "a": "178*l" }, { "q": "Let v(h) = 18*h**2 - 3. Let m(r) = 16729*r**2. Determine v(m(z)).", "a": "5037469938*z**4 - 3" }, { "q": "Let i(t) = -3096*t - 7. Let c(q) = q + 1. Give c(i(o)).", "a": "-3096*o - 6" }, { "q": "Let q(f) = 2*f. Let a(m) = -m**3 + 18*m**2 - 31*m + 10. Let j be a(13). Let p(z) = -16*z**2 + j*z - 452*z. Determine q(p(i)).", "a": "-32*i**2" }, { "q": "Suppose 5*q - 19 = 3*g, 0*q + 3*q + g = 3. Let p(m) be the first derivative of 8*m**2 + 16 + 5*m**q + 6*m**2 - 18*m**2. Let z(f) = 13*f. Calculate p(z(l)).", "a": "26*l" }, { "q": "Let s(w) = 5*w**2. Let l(h) = -291*h**2 + 10*h - 20. Let i(t) = 291*t**2 - 12*t + 24. Let y(f) = 5*i(f) + 6*l(f). Determine y(s(v)).", "a": "-7275*v**4" }, { "q": "Let w(c) = 10*c. Let h(t) be the third derivative of -t**5/10 + 5*t**3/6 + 2*t**2 - 536*t. Give w(h(y)).", "a": "-60*y**2 + 50" }, { "q": "Let a(p) = p. Suppose -3*o - 2*t = -t - 7, 2*o + t = 3. Let i(u) = 14*u**2 - 4*u. Let z(s) = o*a(s) + i(s). Let w(q) = 5*q. Give w(z(m)).", "a": "70*m**2" }, { "q": "Let h(i) be the second derivative of i**4/12 + 3*i**2/2 - 58*i. Let c(n) = 2*n**2 + 5. Let y(t) = -3*c(t) + 5*h(t). Let w(g) = -13*g. Give y(w(f)).", "a": "-169*f**2" }, { "q": "Suppose -z + 2*z = 3. Let n(i) = -i**3 + 6*i**2 + 27*i + 2. Let q be n(9). Let y(o) = -5*o**2 + 5*o**2 - z*o**q. Let g(t) = -7*t**2. Calculate g(y(k)).", "a": "-63*k**4" }, { "q": "Let h(c) = 2*c. Let u(b) = -2567*b + 119. What is h(u(g))?", "a": "-5134*g + 238" }, { "q": "Let q(p) = p + 801. Let f(i) be the first derivative of -i**2/2 - 1068. Calculate q(f(z)).", "a": "-z + 801" }, { "q": "Let p(f) be the first derivative of -f**2/2 + 377. Let n(d) = 37*d + 19. What is n(p(h))?", "a": "-37*h + 19" }, { "q": "Let n(z) = 222256*z. Let q(t) = -64*t**2. What is q(n(u))?", "a": "-3161454690304*u**2" }, { "q": "Let x(u) be the first derivative of -28*u**2 + u - 729. Let d(o) = -2*o**2. What is d(x(w))?", "a": "-6272*w**2 + 224*w - 2" }, { "q": "Let n(k) = -1824965*k**2. Let g(f) = -2*f. What is n(g(z))?", "a": "-7299860*z**2" }, { "q": "Let f(s) be the second derivative of -s**3/6 - 27*s. Let c(d) = -12 + 26 - 14 + 20*d**2. Give c(f(i)).", "a": "20*i**2" }, { "q": "Let f(r) = -r + 7. Let o be f(3). Let g(c) = c**2 - 3*c**2 + 0*c**2 + o*c**2. Let k(v) be the third derivative of v**5/30 + 7*v**2. Calculate k(g(p)).", "a": "8*p**4" }, { "q": "Let c = -44 + 52. Let b(w) be the third derivative of -w**4/24 - 6*w**2. Let g(s) = -2*s. Let l(t) = c*b(t) - 5*g(t). Let h(y) = -y**2. Determine l(h(j)).", "a": "-2*j**2" }, { "q": "Let f(i) = 141*i + 636. Let v(o) = -4*o. Calculate v(f(x)).", "a": "-564*x - 2544" }, { "q": "Let h(s) = 3098*s + 14. Let f(v) = 3117*v + 12. Let g(q) = 7*f(q) - 6*h(q). Let j(n) = n. What is g(j(z))?", "a": "3231*z" }, { "q": "Suppose -3*r - 10 = -5*o, 175*r - 173*r = -5*o + 10. Let l(z) be the third derivative of 0*z**3 + 1/6*z**4 + r*z + 0 + 17*z**2. Let t(h) = 2*h. Give l(t(f)).", "a": "8*f" }, { "q": "Let g(d) = 28*d**2. Let h(r) = 400871*r**2. Give g(h(c)).", "a": "4499531641948*c**4" }, { "q": "Let b(d) be the third derivative of -d**6/72 - d**3/3 + d**2. Let l(g) be the first derivative of b(g). Let f(c) = -60 - 68 - 64 - 5*c**2 + 192. Give f(l(h)).", "a": "-125*h**4" }, { "q": "Let b(d) = 69593*d**2. Let c(g) = 8*g**2 + 10*g. Calculate c(b(m)).", "a": "38745485192*m**4 + 695930*m**2" }, { "q": "Let s(f) = -13332*f - 14 - 13334*f + 26687*f. Let t(a) = 2*a. What is t(s(o))?", "a": "42*o - 28" }, { "q": "Let n(l) be the second derivative of 5*l**3/3 - 7*l + 3. Let c(j) = -87*j + 7*j**2 + 87*j. Determine c(n(u)).", "a": "700*u**2" }, { "q": "Let f(y) = 2*y + 2*y - 6*y. Let z(x) be the first derivative of -11*x**2/2 - 2*x - 45. Give z(f(a)).", "a": "22*a - 2" }, { "q": "Let t(o) = -14*o**2. Let w(z) = -87 + 87 + 27*z**2. Let a(m) = -7*t(m) - 3*w(m). Let g(q) = q**2. Calculate g(a(k)).", "a": "289*k**4" }, { "q": "Let m(f) = -f + 9. Let b(p) = -55031*p**2. Calculate m(b(s)).", "a": "55031*s**2 + 9" }, { "q": "Let m(f) = -12*f**2 + 7*f - 7. Let j(a) = -3*a**2 + 2*a - 2. Let g(h) = -7*j(h) + 2*m(h). Let i(r) = 3*r**2 + 32*r. Calculate i(g(s)).", "a": "27*s**4 - 96*s**2" }, { "q": "Let z(p) = 120*p**2. Let y(s) = 2*s**2 - 3*s + 6485. What is y(z(b))?", "a": "28800*b**4 - 360*b**2 + 6485" }, { "q": "Let d(f) = 19*f**2. Let z(j) = 300*j**2 + 263*j**2 - 625*j**2. Calculate d(z(o)).", "a": "73036*o**4" }, { "q": "Let t(s) = 691*s. Let x(z) = -866*z. What is x(t(a))?", "a": "-598406*a" }, { "q": "Let s(p) = 56*p**2 + 3*p. Let a(u) = -1274*u**2 - 181*u**2 + 97*u**2 - 212*u**2 - 85*u. Let k(o) = -6*a(o) - 170*s(o). Let f(d) = -2*d**2. What is k(f(z))?", "a": "-400*z**4" }, { "q": "Let o(c) be the first derivative of -7*c**5/120 - 73*c**3/3 - 2. Let x(u) be the third derivative of o(u). Let d(v) = 7*v**2. What is x(d(h))?", "a": "-49*h**2" }, { "q": "Let a(y) = 9*y**2 - 44*y - 4. Let i(t) = 25*t**2 - 121*t - 11. Let h(q) = -11*a(q) + 4*i(q). Let f(o) = 46*o**2. What is f(h(m))?", "a": "46*m**4" }, { "q": "Suppose 3*j + 3 = 4*j, 0 = -2*i + j + 169. Let w(v) = i*v - 47*v - 46*v. Let n(q) be the first derivative of -4*q**3/3 + 7. Calculate n(w(z)).", "a": "-196*z**2" }, { "q": "Let d(t) = t + 2. Let s(l) = 71718*l**2. What is d(s(j))?", "a": "71718*j**2 + 2" }, { "q": "Let k(s) = -3*s**2 + 0*s**2 + s**2. Let x(r) be the first derivative of -13*r**2 + 104. What is x(k(o))?", "a": "52*o**2" }, { "q": "Let v(m) = 76*m**2. Let q(k) = 8*k**2 + 12*k + 2. Let p(b) = -7*b**2 - 18*b - 3. Let c(d) = -4*p(d) - 6*q(d). Calculate c(v(u)).", "a": "-115520*u**4" }, { "q": "Let d(n) = -2*n. Let y(x) be the second derivative of -279*x**3/2 - 1150*x. Determine d(y(f)).", "a": "1674*f" }, { "q": "Let o(v) = 22*v**2. Let m(x) be the first derivative of 0*x**2 - 2/3*x**3 + 0*x - 23. What is m(o(j))?", "a": "-968*j**4" }, { "q": "Let j(l) = -876*l - 50. Let g(d) = 171*d. What is g(j(v))?", "a": "-149796*v - 8550" }, { "q": "Let f(l) = -643090*l - 8. Let h(s) = 2*s. Determine f(h(u)).", "a": "-1286180*u - 8" }, { "q": "Let y be (-12)/6*(-99)/(-6). Let j = y + 68. Let x(k) = 2*k - j + 35. Let m(d) = 13*d**2. Calculate x(m(u)).", "a": "26*u**2" }, { "q": "Let v(i) be the third derivative of 0*i**3 + 0*i - 1/12*i**4 + 0 + 15*i**2. Let w(t) = -6*t**2 - 2*t**2 + 0*t**2 - t**2. What is v(w(a))?", "a": "18*a**2" }, { "q": "Let l(k) = 6*k. Let r(p) = -9*p - 20. Let b(x) = 6*x + 13. Let i(z) = 8*b(z) + 5*r(z). Let g be i(7). Let c(u) = 27*u - 3 + 3 - g*u. What is l(c(y))?", "a": "12*y" }, { "q": "Let l(w) be the third derivative of w**5/60 - 4*w**3 - 30*w**2 - 8*w. Let i(p) = 22*p. Give l(i(v)).", "a": "484*v**2 - 24" }, { "q": "Let q(f) = 33*f. Let n(t) = 36*t + 29019 - 29019. What is q(n(i))?", "a": "1188*i" }, { "q": "Let o(l) = -2 + 3 - 1 - 16*l. Let h(k) = k. Let u(w) = -84*h(w) - 6*o(w). Let a(p) be the third derivative of -p**4/8 + 4*p**2. What is a(u(i))?", "a": "-36*i" }, { "q": "Let t(l) be the third derivative of l**5/60 - 6*l**2 + 17*l. Let q(m) be the first derivative of -47*m**2/2 - 23. What is q(t(v))?", "a": "-47*v**2" }, { "q": "Let g(d) = 16*d**2. Let x(c) = -7*c + 5. Suppose 0*s + 3*u = 2*s + 7, 3*u = 15. Let k(a) = -6 - 6 + 11*a + s. Let p(l) = -5*k(l) - 8*x(l). Determine p(g(y)).", "a": "16*y**2" }, { "q": "Let x(u) = 5*u + 2. Let t(l) = 11*l + 5. Let c(s) = 2*t(s) - 5*x(s). Let y(m) be the first derivative of 3*m**3 - 196. Determine y(c(a)).", "a": "81*a**2" }, { "q": "Let y(z) = 397*z**2 - 5. Let b(c) = -73*c - 1. Give y(b(i)).", "a": "2115613*i**2 + 57962*i + 392" }, { "q": "Let g(m) = m**2. Let t(i) = 2608*i + 267. Calculate t(g(w)).", "a": "2608*w**2 + 267" }, { "q": "Let o(i) = 12*i - 1. Let b(t) = 2*t - 10. Calculate b(o(x)).", "a": "24*x - 12" }, { "q": "Let p(r) = -11*r**2. Let a(z) = 12*z**2 - 5975*z. Determine a(p(b)).", "a": "1452*b**4 + 65725*b**2" }, { "q": "Let q(g) = 2*g. Let r(d) = -22004*d + 11002*d + 49 + 11005*d. Give r(q(p)).", "a": "6*p + 49" }, { "q": "Let y(l) = 2*l - 11. Let g(m) be the third derivative of 0*m**3 + 0*m**4 + 0 + 1/30*m**5 + 0*m - 63*m**2. Calculate y(g(p)).", "a": "4*p**2 - 11" }, { "q": "Let v(i) = -3*i. Let u(f) = -3*f. Suppose 0 = j - 3*j - 6. Let b(g) = j*u(g) + 4*v(g). Let n(h) = -3605 - 5*h + 3605. Calculate n(b(x)).", "a": "15*x" }, { "q": "Let k(z) = 10641*z. Let s(t) = 129*t**2. Calculate k(s(a)).", "a": "1372689*a**2" }, { "q": "Let p(u) = 2*u. Let v(s) = 13466758*s. Determine p(v(t)).", "a": "26933516*t" }, { "q": "Let q(g) = 158*g + 163*g - 323*g. Let x(z) be the second derivative of 5*z**3/2 + 2*z. Give x(q(j)).", "a": "-30*j" }, { "q": "Let r = 610 - 608. Suppose 0 = -0*g + g - 5*w + 18, 2*w - 4 = 2*g. Let j(k) = 8*k**g - 17*k**r + 8*k**2. Let y(m) = 4*m**2. What is j(y(h))?", "a": "-16*h**4" }, { "q": "Let i(u) = -u**2. Let a(s) = 462561*s + 4323. Let v(l) = -2360*l - 22. Let b(w) = 2*a(w) + 393*v(w). Calculate b(i(y)).", "a": "2358*y**2" }, { "q": "Let b(k) = -11123*k + 11123*k - k**2. Let c(j) = 135*j**2. Calculate b(c(l)).", "a": "-18225*l**4" }, { "q": "Let t(g) be the first derivative of 191*g**2/2 - 815. Let f(z) = z**2. Calculate t(f(o)).", "a": "191*o**2" }, { "q": "Let w(z) = -17*z**2. Let b(n) = -39*n**2 - 23*n**2 - 79*n**2. Give b(w(c)).", "a": "-40749*c**4" }, { "q": "Let m(x) = 27*x + 51*x + 7 - 7 + 46*x. Let j(k) = -11*k. What is m(j(t))?", "a": "-1364*t" }, { "q": "Let b(i) = 25360026*i. Let m(v) = -2*v. Calculate b(m(j)).", "a": "-50720052*j" }, { "q": "Let v(a) = 14*a. Suppose 4*y + 10 = -138. Let g = 39 + y. Let i(w) = g*w - 5*w + 4*w. Determine i(v(q)).", "a": "14*q" }, { "q": "Let d(v) be the third derivative of 5*v**4/2 + 9*v**2 + 21. Let i(y) = -20*y**2. Calculate i(d(r)).", "a": "-72000*r**2" }, { "q": "Let z(j) = -3*j + 225. Let k(b) be the third derivative of b**4/12 + 7*b**2. Calculate k(z(y)).", "a": "-6*y + 450" }, { "q": "Let y(r) = -2*r. Let a(b) be the third derivative of 27*b**5/10 - 165*b**2. What is a(y(v))?", "a": "648*v**2" }, { "q": "Let n(c) = -2*c - 14. Let q be n(-8). Let g be (q/5)/(((-1)/5)/(-1)). Let s(t) = 21 + 24 - 45 - t**g. Let w(a) = -3*a**2. Determine s(w(k)).", "a": "-9*k**4" }, { "q": "Let n(h) be the third derivative of 353*h**5/60 + h**3/6 + 219*h**2 + 1. Let o(u) = -3*u**2. Give n(o(q)).", "a": "3177*q**4 + 1" }, { "q": "Let s(u) = 4 - u + 3*u - u - 6. Let c(n) be the first derivative of n**2 - 363. Give c(s(a)).", "a": "2*a - 4" }, { "q": "Let v(k) be the third derivative of k**5/60 + k**3/3 - 343*k**2. Let w(l) = -l. Give w(v(c)).", "a": "-c**2 - 2" }, { "q": "Let q(h) = -90*h**2. Let a(s) = -10337*s + 1. What is a(q(y))?", "a": "930330*y**2 + 1" }, { "q": "Let v(n) = 28*n**2. Let j(y) = -y - 4. Let z(f) = -6 - 28*f + 59*f - 32*f. Let d(x) = -3*j(x) + 2*z(x). Calculate d(v(k)).", "a": "28*k**2" }, { "q": "Let k(r) = -r - r - r - 8*r + 10*r. Let b(m) be the third derivative of 0*m + 0 - 1/10*m**5 + 0*m**3 - 2*m**2 + 0*m**4. Give k(b(w)).", "a": "6*w**2" }, { "q": "Let o(z) = 81358*z. Let v(s) = 66*s**2. What is o(v(p))?", "a": "5369628*p**2" }, { "q": "Let o(j) = 2*j. Let a(s) be the first derivative of 66 - 150 + 69 + s**3. Calculate o(a(w)).", "a": "6*w**2" }, { "q": "Let p(k) = 2*k**2 + k + 21. Let o be p(9). Let c(l) = 0*l - l + o - 192. Let g(v) = 33*v**2. Calculate c(g(i)).", "a": "-33*i**2" }, { "q": "Let r(d) = 194*d + 1. Let m(w) = -2780*w. Give r(m(t)).", "a": "-539320*t + 1" }, { "q": "Let a(o) be the third derivative of -7*o**5/60 + 43*o**2. Let d(u) = 4*u**2 - 2. Let v(l) = -33*l**2 + 17. Let q(g) = 51*d(g) + 6*v(g). Give q(a(j)).", "a": "294*j**4" }, { "q": "Let n(o) = 3*o**2. Let p(u) = 1132713*u. What is n(p(z))?", "a": "3849116221107*z**2" }, { "q": "Let y(r) be the first derivative of -23*r**2/2 + 5. Let o(j) = -53*j**2 + 21*j**2 + 13*j**2 + 21*j**2. Calculate o(y(s)).", "a": "1058*s**2" }, { "q": "Let b(s) be the second derivative of -11*s**3 - 347*s. Let x(r) = 18*r. What is x(b(h))?", "a": "-1188*h" }, { "q": "Let z(f) = 64*f - 6. Let u be (-1)/(-6 + (-258)/(-42)). Let m(p) = 32*p - 3. Let i(c) = u*m(c) + 3*z(c). Let n(a) = 2*a. What is i(n(d))?", "a": "-64*d + 3" }, { "q": "Let l(x) = -3*x**2. Let p(s) = -318*s - 2. Let n(r) = -64565*r - 407. Let c(q) = 4*n(q) - 814*p(q). Determine c(l(f)).", "a": "-1776*f**2" }, { "q": "Let r(h) = -1067*h**2 + 2. Let n(y) = 5296*y. Give n(r(i)).", "a": "-5650832*i**2 + 10592" }, { "q": "Let n(u) = -2*u**2 + 27*u. Let w(z) = -1590*z + 806*z + 786*z. Calculate w(n(a)).", "a": "-4*a**2 + 54*a" }, { "q": "Let k(n) = -2*n. Let t(a) = 14557832*a**2. Give t(k(c)).", "a": "58231328*c**2" }, { "q": "Let w(g) = -139*g**2. Let q(j) = -3*j + 8*j + 339 - 681 + 342. Calculate q(w(i)).", "a": "-695*i**2" }, { "q": "Let b(g) = -32*g - 2. Let v(l) = -395880*l**2. What is b(v(q))?", "a": "12668160*q**2 - 2" }, { "q": "Let w(x) = 463*x**2. Let l(y) = -y + 3728. What is l(w(k))?", "a": "-463*k**2 + 3728" }, { "q": "Suppose 0 = -3*o + n + 80 - 82, -5*o + 4 = 2*n. Let j(m) be the third derivative of o + 17*m**2 + 0*m**3 + 0*m + 1/24*m**4. Let l(f) = 7*f. Give l(j(b)).", "a": "7*b" }, { "q": "Let t(a) = -11*a**2 + 4. Let p(x) = -13*x**2 + 3. Let b(y) = -4*p(y) + 3*t(y). Let j(f) = -38*f. Give b(j(g)).", "a": "27436*g**2" }, { "q": "Let u(l) = -l. Let j(b) = 87*b**2 + 5*b - 5. Let a(t) be the first derivative of -145*t**3 - 12*t**2 + 24*t + 59. Let v(i) = 5*a(i) + 24*j(i). Give v(u(y)).", "a": "-87*y**2" }, { "q": "Let w(a) = 1234295*a. Let k(q) = 3*q. Give w(k(b)).", "a": "3702885*b" }, { "q": "Let w(t) = 7*t**2. Let d(q) = q**3 - 7*q**2 - 12*q + 37. Let l be d(10). Let u(c) = -107 + l - 110 - 4*c. Calculate w(u(i)).", "a": "112*i**2" }, { "q": "Let d(a) = 1783207*a. Let s(y) = -9*y**2. Determine s(d(k)).", "a": "-28618444843641*k**2" }, { "q": "Let d(g) = g**2 - 2. Let r = 57 - 61. Let p(z) = -2*z**2 + 3. Let u(s) = r*p(s) - 6*d(s). Let j(l) be the second derivative of -l**4/4 - 2*l. What is u(j(y))?", "a": "18*y**4" }, { "q": "Let q(g) = -25048*g. Let o(m) = -6*m**2 + 34*m. What is o(q(v))?", "a": "-3764413824*v**2 - 851632*v" }, { "q": "Let u be 53 - (1 + 5 + -4). Let o(g) = -u + g + 51. Let x(i) = -116*i. Determine x(o(y)).", "a": "-116*y" }, { "q": "Let q(m) = 3*m**2. Let a(t) be the third derivative of 23*t**8/20160 - 31*t**5/60 + 67*t**2. Let i(c) be the third derivative of a(c). Give i(q(u)).", "a": "207*u**4" }, { "q": "Let b(i) = 52*i**2 - 24*i. Let p(x) = -21*x**2 + 10*x. Let q(y) = -5*b(y) - 12*p(y). Suppose 2 = 4*f - 10. Let o(c) = 4*c - 2*c - f*c. Calculate q(o(m)).", "a": "-8*m**2" }, { "q": "Let d(t) be the first derivative of -t**2 + 1. Suppose 0 = -15*v - 239 + 329. Let l(g) = g. Let r(x) = v*d(x) + 13*l(x). Let k(a) = 8*a. What is k(r(o))?", "a": "8*o" }, { "q": "Let b(v) = 21*v - 3. Let h(y) = 2*y - 1916. What is h(b(l))?", "a": "42*l - 1922" }, { "q": "Let v(g) = 419*g**2 + 1. Let m(s) = -22*s - 117. Let y(p) = -5*p - 26. Let k(j) = 2*m(j) - 9*y(j). What is k(v(t))?", "a": "419*t**2 + 1" }, { "q": "Let w(d) be the second derivative of -d**4/4 + 979*d. Let f(c) = -140*c. Give w(f(q)).", "a": "-58800*q**2" }, { "q": "Let q = 36 - 36. Suppose q = -5*a - 25, 61 = 2*f - 0*a + 3*a. Let h(c) = -f*c**2 - 36*c**2 + 72*c**2. Let n(v) = 19*v. What is h(n(i))?", "a": "-722*i**2" }, { "q": "Let r(s) = -131*s**2 + 3. Let n(g) = -174*g**2 + 4. Let p(b) = 3*n(b) - 4*r(b). Let f(v) = 4*v - 3*v - 11*v. Calculate p(f(z)).", "a": "200*z**2" }, { "q": "Let b(q) be the second derivative of q**3/6 - q**2 + 83*q. Let n(t) = -t**2 + 6 + 4 - 10. Give n(b(v)).", "a": "-v**2 + 4*v - 4" }, { "q": "Let d(t) = 1716*t. Let u(a) = -46*a - 69*a - 76*a + 189*a. Determine d(u(i)).", "a": "-3432*i" }, { "q": "Let i(r) = 7*r. Let u(j) = -1133199*j. What is i(u(c))?", "a": "-7932393*c" }, { "q": "Let j(v) = -41*v**2 - 189. Let b(x) = 3*x. Give b(j(t)).", "a": "-123*t**2 - 567" }, { "q": "Let y(p) = 204748 - 10*p - 204748 + 10*p - 13*p**2. Let n(o) be the third derivative of 0*o**4 + 1/60*o**5 + 0*o**3 + 0*o + 0 + o**2. Give n(y(s)).", "a": "169*s**4" }, { "q": "Let m(b) = 2*b**2. Let z = -53 + 46. Let p be 166/7 - 2/z. Let u(t) = 28*t - 47*t + p*t. Calculate u(m(w)).", "a": "10*w**2" }, { "q": "Let l(y) be the second derivative of y**4/12 - 2*y. Let x be -4 + (-27)/(-5) + 3/5. Let v(r) = -5*r + r - x*r - r. Give l(v(k)).", "a": "49*k**2" }, { "q": "Let x(c) = 29*c. Let v(p) be the third derivative of 0*p**3 + 1/24*p**4 + 0 - 2*p**2 + 6*p. Determine x(v(o)).", "a": "29*o" }, { "q": "Let i(b) be the third derivative of 23*b**7/2520 + 3*b**4/2 + b**2 - 6*b. Let l(w) be the second derivative of i(w). Let d(j) = 4*j. Give d(l(y)).", "a": "92*y**2" }, { "q": "Let z(f) = 33*f**2. Let d(o) = -108997*o**2. Give d(z(j)).", "a": "-118697733*j**4" }, { "q": "Let o(a) = 13*a - 7*a**2 - 60*a + 49*a - 2*a. Suppose -6*m = -3*m. Let y(b) = -2*b**2 + m + 0. Determine o(y(f)).", "a": "-28*f**4" }, { "q": "Suppose 4*l - 6 = 14. Let r(n) = 0*n**2 - 5 + l - 7*n**2. Let p(z) be the first derivative of -2*z**3/3 - 14. Give r(p(q)).", "a": "-28*q**4" }, { "q": "Let j(u) = -u**2. Let x(r) = 10684*r - 22. Determine x(j(n)).", "a": "-10684*n**2 - 22" }, { "q": "Let l(b) = -1 + 2244*b + 2261*b + 1 - 4475*b. Let f(i) = -2*i**2 + 31. Give f(l(k)).", "a": "-1800*k**2 + 31" }, { "q": "Let z(p) = -227*p - 1. Let m(y) = 5096*y - 4. Give m(z(h)).", "a": "-1156792*h - 5100" }, { "q": "Suppose -49 = 4*l - 3*l. Let m = -32 - l. Let u(b) = -11*b + m*b + 24*b. Let c(d) = -2*d. Give u(c(q)).", "a": "-60*q" }, { "q": "Let l(w) = -23*w. Let o(m) = -8*m - 7*m - 21*m + 34*m - 11*m. What is l(o(t))?", "a": "299*t" }, { "q": "Let c(f) = f**2 + 448. Let m(o) = 13547*o**2. Give c(m(w)).", "a": "183521209*w**4 + 448" }, { "q": "Let m = 206 + -204. Let u(k) = 927*k**2 + 919*k**2 - 1852*k**m. Let h(y) = 9*y**2. Determine h(u(j)).", "a": "324*j**4" }, { "q": "Let s(b) = -b**2. Let a(v) = -2083046 + 2083046 - 4*v + 47*v**2. Calculate a(s(w)).", "a": "47*w**4 + 4*w**2" }, { "q": "Let a(i) = -17*i. Let y be (-4)/8 - ((-15)/(-6) - 3). Suppose 2*j - j - 4*h = 12, -3*j - h - 3 = y. Let v(w) = -w - w + w + j. Give a(v(g)).", "a": "17*g" }, { "q": "Let p(j) be the first derivative of 0*j - 58 + 1/2*j**2. Let k(s) = -s + s + 13*s**2. Calculate k(p(n)).", "a": "13*n**2" }, { "q": "Let k(a) = -7*a**2. Let u(r) = 10*r - 34516. Calculate u(k(h)).", "a": "-70*h**2 - 34516" }, { "q": "Let w(m) = -59*m**2. Let v(b) = 276281*b. Determine v(w(l)).", "a": "-16300579*l**2" }, { "q": "Let x(j) = j. Let t(b) be the second derivative of 0*b**3 - 1/20*b**5 + 0*b**4 - 9*b**2 + 0 + 3*b. Let u(z) be the first derivative of t(z). Give u(x(v)).", "a": "-3*v**2" }, { "q": "Let j(g) = 20*g**2. Let t(r) = -5784*r - 1. Determine t(j(z)).", "a": "-115680*z**2 - 1" }, { "q": "Let s(q) = q - 3*q + 107*q**2 + 2*q. Let u(b) be the second derivative of b**4/6 + 40*b + 2. Calculate u(s(m)).", "a": "22898*m**4" }, { "q": "Let q(l) = l. Let s(v) = -174873*v - 22. Give q(s(i)).", "a": "-174873*i - 22" }, { "q": "Let b(n) = -5*n + 2*n + 2*n. Let x be ((40450/15)/5)/((-6)/(-27)). Let z(j) = -1 - 2443*j + x*j + 1. Determine b(z(w)).", "a": "16*w" }, { "q": "Let k(n) be the first derivative of n**2/2 - n - 1. Let g be (-3 - 3)/1 - -5. Let v(m) = -10*m - 4. Let t(j) = g*v(j) + 4*k(j). Let a(z) = -z. What is a(t(u))?", "a": "-14*u" }, { "q": "Let j(o) = o. Let l(i) = 39*i - 11. Let s(h) = -155*h + 40. Let r(z) = 11*l(z) + 3*s(z). Give j(r(u)).", "a": "-36*u - 1" }, { "q": "Let o(b) = -11*b**2 - 6*b + 12. Let k be (-6)/(6/18*3). Let s(j) = 100*j**2 + 55*j - 110. Let v(h) = k*s(h) - 55*o(h). Let n(f) = -8*f. Determine n(v(w)).", "a": "-40*w**2" }, { "q": "Let k(w) = w + 75. Let s(m) be the second derivative of m**4/12 + 80*m. Calculate s(k(b)).", "a": "b**2 + 150*b + 5625" }, { "q": "Let p(k) = 146*k**2 - 5*k + 7. Let v(u) = 221*u**2 - 7*u + 9. Let z(x) = 7*p(x) - 5*v(x). Let s(w) = 3*w**2. Give z(s(h)).", "a": "-747*h**4 + 4" }, { "q": "Let h(s) = -1403*s**2 - 5*s + 5. Let d(v) = -2805*v**2 - 9*v + 9. Let b(z) = -10*d(z) + 18*h(z). Let a(n) = 2*n. What is a(b(x))?", "a": "5592*x**2" }, { "q": "Let x(k) = -8*k. Let l(j) be the second derivative of -113*j**4/4 + 1523*j. Calculate x(l(y)).", "a": "2712*y**2" }, { "q": "Let t(g) = 6*g - g - 4*g. Let u be (0 - 2)*(-17)/34. Let f(z) = -z - 1. Let n(r) = -15*r**2 + 15*r + 15. Let o(p) = u*n(p) + 15*f(p). Give o(t(v)).", "a": "-15*v**2" }, { "q": "Let g(z) = -2*z. Let q(c) = -10*c**2 + 613556*c. What is q(g(w))?", "a": "-40*w**2 - 1227112*w" }, { "q": "Let x(q) = -2*q + 10. Let k(a) = -217308*a**2. Calculate x(k(o)).", "a": "434616*o**2 + 10" }, { "q": "Let o(b) = -3*b - 14. Let g(a) be the first derivative of -9*a**2/2 + 824. Calculate g(o(p)).", "a": "27*p + 126" }, { "q": "Let t(l) = -l**2 - 2*l - 16. Let p(v) = 2*v**2 + 5*v + 40. Let k(m) = -2*p(m) - 5*t(m). Let q(o) = -37*o + 12. Calculate q(k(f)).", "a": "-37*f**2 + 12" }, { "q": "Let h(d) be the third derivative of 7*d**4/6 + d**3/2 + d**2 - 181. Let k(w) = 3*w**2. Calculate k(h(j)).", "a": "2352*j**2 + 504*j + 27" }, { "q": "Let g(h) be the first derivative of h**2/2 + 515. Let b(t) = -10*t. What is b(g(a))?", "a": "-10*a" }, { "q": "Let y(l) = -l**2. Let p(t) = -4727773*t**2. Determine y(p(f)).", "a": "-22351837539529*f**4" }, { "q": "Let n(y) = 3*y**2 - 35 - 67 + 102. Let f(w) = 59*w**2. Determine f(n(a)).", "a": "531*a**4" }, { "q": "Let y(z) = 9*z**2 - 2. Let u(f) = -133996*f. What is u(y(o))?", "a": "-1205964*o**2 + 267992" }, { "q": "Let c(b) = -3*b**2 + 12*b. Let i(a) = -20*a**2 + 88*a. Let d(m) = 44*c(m) - 6*i(m). Let t(y) = -98*y**2. Determine t(d(p)).", "a": "-14112*p**4" }, { "q": "Let u(a) be the first derivative of a**6/180 - 71*a**3/3 + 23. Let l(i) be the third derivative of u(i). Let g(x) = 13*x**2 - 3*x. What is l(g(q))?", "a": "338*q**4 - 156*q**3 + 18*q**2" }, { "q": "Let r(w) = -1071*w**2. Let g(t) = 681*t + 685*t - 1365*t. Determine g(r(p)).", "a": "-1071*p**2" }, { "q": "Let f(r) = 16*r**2. Let a(q) be the third derivative of -5*q**4/3 + 86*q**2 + 6. What is a(f(b))?", "a": "-640*b**2" }, { "q": "Let a(x) = 18*x**2 - 10*x. Let t(z) = -2*z. Give t(a(k)).", "a": "-36*k**2 + 20*k" }, { "q": "Let o(v) = -1485*v - 1475*v + 4441*v - 1483*v. Let y(m) = 56*m. Calculate o(y(h)).", "a": "-112*h" }, { "q": "Let t(l) = 1 - 18 - 8*l + 14 + 3. Let k(a) = 26*a**2 - 1. Give k(t(c)).", "a": "1664*c**2 - 1" }, { "q": "Let o(l) be the second derivative of l**4/12 - l**2/2 - 1295*l. Let m(j) = 5*j. Determine m(o(d)).", "a": "5*d**2 - 5" }, { "q": "Let a(v) = -6*v**2 - 4. Let j(u) be the third derivative of 19*u**5/60 - u**2 + 120*u. Give j(a(c)).", "a": "684*c**4 + 912*c**2 + 304" }, { "q": "Let j(w) = -2. Let q(p) = -26*p + 8. Suppose -i + 3 + 6 = 2*t, -5*i - 3*t = -10. Let r(c) = i*q(c) - 4*j(c). Let m(k) = -k**2. Determine r(m(h)).", "a": "-26*h**2" }, { "q": "Let i(f) = 28*f**2 - 48*f**2 + 11*f**2 + 11*f**2. Let p(o) = -1004*o**2. What is i(p(a))?", "a": "2016032*a**4" }, { "q": "Let m(z) be the second derivative of 91*z**4/12 - 1540*z. Let a(y) = -14*y. Give a(m(f)).", "a": "-1274*f**2" }, { "q": "Let y(z) = z. Suppose -2*j + 3*p - p = -54, -2*j = 5*p - 54. Let a be (-2 - 0 - 2)*j/(-4). Let u(n) = 18*n + a*n - 22*n. Calculate y(u(t)).", "a": "23*t" }, { "q": "Let j(f) = f. Let y(v) = 15562815*v. Give y(j(d)).", "a": "15562815*d" }, { "q": "Let i(d) = 9*d**2 + 146. Let g(z) = 189*z**2. Calculate i(g(t)).", "a": "321489*t**4 + 146" }, { "q": "Let o(b) = -11*b**2 + 4*b. Let u(t) = 12*t**2 - 5*t. Let f(g) = -5*o(g) - 4*u(g). Let k = -17 - -31. Let j(y) = -13*y**2 + 2 + k*y**2 - 2. Give j(f(w)).", "a": "49*w**4" }, { "q": "Let v(h) = 12*h**2 - 1238*h + 7. Let y(g) = -10*g. Give y(v(w)).", "a": "-120*w**2 + 12380*w - 70" }, { "q": "Let x(a) = -27*a**2 - 39*a. Let d(i) = 152*i + 2. Give x(d(k)).", "a": "-623808*k**2 - 22344*k - 186" }, { "q": "Let g(j) = -j - 180. Let u(z) = 12294*z. What is g(u(y))?", "a": "-12294*y - 180" }, { "q": "Let w(z) = 2*z. Let r(a) = 883*a**2 + 24. Let m(d) = -d**2 - 8. Let f(i) = 3*m(i) + r(i). Determine w(f(y)).", "a": "1760*y**2" }, { "q": "Let j(d) = -4*d. Let m(u) = u + 957344. Give j(m(v)).", "a": "-4*v - 3829376" }, { "q": "Let h(w) = -3*w. Let u(r) = 1225*r**2 - 3931. Calculate u(h(c)).", "a": "11025*c**2 - 3931" }, { "q": "Let u(m) = 29*m. Let i(q) = 3484*q**2 + 8*q + 1. Calculate i(u(k)).", "a": "2930044*k**2 + 232*k + 1" }, { "q": "Let q(o) = 6134*o - 58. Let c(m) = 9*m. Give q(c(z)).", "a": "55206*z - 58" }, { "q": "Suppose -2*m + 2 = -3*b, 0*b = 3*m - 2*b - 8. Let g(f) be the first derivative of -f**2 + 1 - m + 9*f**2 - 6. Let z(h) = -h. Calculate z(g(c)).", "a": "-16*c" }, { "q": "Let j(n) = -2196*n**2 - 2167*n**2 - 2197*n**2 + 6562*n**2. Let g(b) be the third derivative of b**4/8 + 6*b**3 - b**2. What is j(g(r))?", "a": "18*r**2 + 432*r + 2592" }, { "q": "Let n(l) = 3*l + 2*l - 4*l. Let t(i) be the third derivative of -i**4/12 - 5*i**3 + i**2 + 2010. Calculate n(t(q)).", "a": "-2*q - 30" }, { "q": "Let m(v) = 10*v**2 - 4*v + 28. Let j(o) = 99*o**2 - 39*o + 273. Let f(w) = -4*j(w) + 39*m(w). Let h(d) = -8*d**2. Determine f(h(c)).", "a": "-384*c**4" }, { "q": "Let d(z) = -z**2 + 5. Let y(l) = l**2 - 6. Suppose 0*o = -3*o + 5*h + 43, 5*h + 7 = -3*o. Let f(n) = o*d(n) + 5*y(n). Let k(m) = 7*m - 1. Give f(k(x)).", "a": "-49*x**2 + 14*x - 1" }, { "q": "Let j(z) = -2*z**2. Let f(u) be the second derivative of -u**5/10 - 2*u**2 + u - 38. Let w(m) be the first derivative of f(m). Determine w(j(h)).", "a": "-24*h**4" }, { "q": "Let m(b) = -2*b - 7854314. Let t(v) = v**2. What is m(t(x))?", "a": "-2*x**2 - 7854314" }, { "q": "Let k be 7/(21/52) - (-8)/(-24). Let l(q) = -k*q - 5*q + 7*q. Let i(c) be the first derivative of -c**2/2 + 3. What is i(l(r))?", "a": "15*r" }, { "q": "Let x(u) be the third derivative of 1/10*u**5 + 15*u**2 + 0*u**3 + 0*u**4 - 2 + 0*u. Let r(z) = 8*z. Determine x(r(l)).", "a": "384*l**2" }, { "q": "Let k(g) = -2*g - 26. Let j(l) be the second derivative of -l**3 + 1323*l + 1. What is j(k(o))?", "a": "12*o + 156" }, { "q": "Let s(h) = 8*h**2 - 25*h. Let p(c) = 10*c**2 - 28*c. Let i(q) = 9*p(q) - 10*s(q). Let y(j) = 19*j**2. Determine y(i(u)).", "a": "1900*u**4 - 760*u**3 + 76*u**2" }, { "q": "Suppose 0 = 4*b + 2*k + 36, 0*k - 2*k = -b - 4. Let q be (b/16)/((3 + -2)/(-4)). Let p(n) = 16*n + 18*n + 2*n**q - 34*n. Let t(y) = -16*y**2. Give p(t(i)).", "a": "512*i**4" }, { "q": "Let u(m) = -6*m**2. Let d(s) = 446262*s. Determine u(d(k)).", "a": "-1194898635864*k**2" }, { "q": "Let i(b) = -3*b**2 - 6*b - 3. Let s(v) = 6*v**2 + 10*v + 5. Let m(j) = -5*i(j) - 3*s(j). Let p(k) = -21*k - 9*k - 14*k. Determine p(m(d)).", "a": "132*d**2" }, { "q": "Let p(x) = 373835*x - 4. Let h(k) = -2*k**2. Calculate p(h(y)).", "a": "-747670*y**2 - 4" }, { "q": "Let r(a) = a. Let n(i) be the first derivative of 65/2*i**2 + 0*i - 69. Calculate r(n(d)).", "a": "65*d" }, { "q": "Let a(x) be the second derivative of -13*x**3/3 + x**2/2 - 5720*x. Let i(d) = d + 5 - 5. Determine i(a(k)).", "a": "-26*k + 1" }, { "q": "Let a(n) = 5*n + 56. Let s(k) = 947*k**2 - 3*k. What is a(s(q))?", "a": "4735*q**2 - 15*q + 56" }, { "q": "Let q(w) = -5*w + 27. Let p be q(3). Let l(s) = p - 39 + 3*s - 2*s. Let m(d) = -d. Determine l(m(t)).", "a": "-t - 27" }, { "q": "Let z(x) be the third derivative of 79*x**5/3 + 8*x**2. Let r(p) = 2*p. Calculate z(r(d)).", "a": "6320*d**2" }, { "q": "Let b(s) = -s**3 + 10*s**2 + 13*s - 16. Let z be b(11). Suppose z*g = g. Let p(r) = -r + r - r + g. Let h(m) = 8*m**2. What is h(p(q))?", "a": "8*q**2" }, { "q": "Let n(b) = -16*b - 24. Let i(t) = 17*t + 30. Let k(l) = -3*i(l) - 4*n(l). Let q(c) = -3*c. Give k(q(m)).", "a": "-39*m + 6" }, { "q": "Let l(g) = 26*g**2. Let f(m) = -386636*m**2. Give l(f(z)).", "a": "3886672308896*z**4" }, { "q": "Let d(k) be the third derivative of 0 + 0*k**3 + 20*k**2 + 0*k + 0*k**4 + 1/30*k**5. Let v(x) = -3*x**2 + 0*x**2 + 0*x**2. Give d(v(n)).", "a": "18*n**4" }, { "q": "Let w(i) = -i - 16. Let x(t) = -4*t - 88. Let z(f) = -11*w(f) + 2*x(f). Let l(c) = 152*c. Give z(l(g)).", "a": "456*g" }, { "q": "Let m(g) = 2*g + g + 0*g. Let f(l) = -3*l**2 - 3*l + 3. Let j(n) = -82 + n + 43 + 38. Let r(o) = -f(o) - 3*j(o). Calculate r(m(x)).", "a": "27*x**2" }, { "q": "Let c(n) = -n - 2. Suppose -19*v - 10 = 9. Let s(d) = -8*d - 12. Let o(w) = v*s(w) + 6*c(w). Let p(f) = -30*f. Determine o(p(y)).", "a": "-60*y" }, { "q": "Let k(b) = 5*b**2 - 2*b - 15. Let p be k(4). Let c(f) = -55*f + p*f - 1 + 1. Let j(x) = -11*x**2 + 5. What is c(j(s))?", "a": "-22*s**2 + 10" }, { "q": "Let p(g) = -2138874*g**2. Let v(r) = -4*r**2. Determine p(v(k)).", "a": "-34221984*k**4" }, { "q": "Let v(w) = 23619*w**2 - 2. Let d(u) = 7*u - 8. Determine d(v(z)).", "a": "165333*z**2 - 22" }, { "q": "Let s(p) be the first derivative of -p**3/3 - 604. Let y(g) = -2679*g. Determine y(s(r)).", "a": "2679*r**2" }, { "q": "Let t(n) = -17*n. Let x(y) be the second derivative of -y**3/6 + 7*y**2/2 - 12*y - 17. What is x(t(m))?", "a": "17*m + 7" }, { "q": "Let s(u) = 12*u. Let g(t) be the third derivative of 5*t**4/24 + 5*t**2 - 142*t. What is g(s(p))?", "a": "60*p" }, { "q": "Let q(d) = 2*d. Let a(x) = -2*x**2 + 7. Let g = 51 + -44. Let r(p) = -2*p**2 + 6. Let i(t) = g*r(t) - 6*a(t). Determine q(i(u)).", "a": "-4*u**2" }, { "q": "Let n(r) = -431*r - 1. Let o(c) = 3 - 4 + 6204*c - 6209*c + 1. Give o(n(b)).", "a": "2155*b + 5" }, { "q": "Let v(n) = 2886 - 2886 - 4*n + 3*n. Let y(x) be the third derivative of 3*x**5/20 - 16*x**2. Calculate y(v(b)).", "a": "9*b**2" }, { "q": "Let q(b) = 255*b + 591364 - 591364. Let j(d) = 2*d**2. What is j(q(n))?", "a": "130050*n**2" }, { "q": "Let q(l) = 725*l - 1. Let g(k) = -2*k**2 + 6*k + 112. Determine q(g(a)).", "a": "-1450*a**2 + 4350*a + 81199" }, { "q": "Let p be (-2)/(-4)*(13 - -491). Let m(g) = -252 - 2*g + p. Let l(c) = 51*c**2. What is m(l(y))?", "a": "-102*y**2" }, { "q": "Let n(g) = -3*g**3 + 2*g + 1. Let l be n(-1). Let j(a) = -6*a**l + 2 + 0*a**2 - 2. Let i(k) = 1176 + 4*k - 588 - 6*k - 588. Give i(j(z)).", "a": "12*z**2" }, { "q": "Let h(j) = 16*j**2 + 11. Let g(y) = 4*y**2 + 518*y. Determine g(h(r)).", "a": "1024*r**4 + 9696*r**2 + 6182" }, { "q": "Let f(i) = 22*i**2 - 110*i + 110. Let b(x) be the second derivative of x**3/6 - x**2/2 + 75*x. Let n(a) = 110*b(a) + f(a). Let s(g) = 5*g**2. Determine n(s(y)).", "a": "550*y**4" }, { "q": "Let f(a) = -3*a**2 - 2*a - 4558. Let q(x) = -143*x. Give q(f(s)).", "a": "429*s**2 + 286*s + 651794" }, { "q": "Let s(x) = -x - 56. Let i(a) = a**2 - 2044*a + 2. Determine s(i(u)).", "a": "-u**2 + 2044*u - 58" }, { "q": "Let i(q) = 3*q**2 + 84*q + 6. Let d(o) = -8*o**2 - 238*o - 17. Let m(g) = 6*d(g) + 17*i(g). Let s(p) = 2*p - 9. What is m(s(b))?", "a": "12*b**2 - 108*b + 243" }, { "q": "Let n(u) = -18*u**2 - 10*u + 15. Let h(j) = -2*j + 3. Let x(o) = 5*h(o) - n(o). Let b(s) = -105*s**2. Determine x(b(w)).", "a": "198450*w**4" }, { "q": "Let u(m) = m**2. Let x(v) be the first derivative of -16*v**4/3 + 65*v - 75. Let f(a) be the first derivative of x(a). Determine u(f(g)).", "a": "4096*g**4" }, { "q": "Let k(q) = -q**2 - 1402. Let s(n) = 566*n**2. Give k(s(r)).", "a": "-320356*r**4 - 1402" }, { "q": "Let h(k) = -45*k + 6*k + 27*k + 10*k. Let x(o) = -192*o**2. Determine x(h(l)).", "a": "-768*l**2" }, { "q": "Let f(c) be the third derivative of 503*c**5/30 - 4*c**2 - 48. Let r(u) = u. Give f(r(b)).", "a": "1006*b**2" }, { "q": "Let y(z) = 31*z**2 + 3*z - 3. Let j(w) = 2*w**2 + w - 1. Let s(k) = 3*j(k) - y(k). Let h(u) = 2*u + 18. Determine h(s(c)).", "a": "-50*c**2 + 18" }, { "q": "Let j(h) be the first derivative of 4*h**3/3 - 206. Let y(u) = -15*u**2 - 2. Calculate j(y(v)).", "a": "900*v**4 + 240*v**2 + 16" }, { "q": "Let l(j) be the first derivative of -1/2*j**2 + 15 + 0*j. Let n(y) = 34*y. Determine n(l(a)).", "a": "-34*a" }, { "q": "Let w(v) = 2*v. Let y(u) = 12 - 5 - 1 - 5. Let c(q) = -8*q + 32. Let d(l) = -3*c(l) + 96*y(l). Determine w(d(i)).", "a": "48*i" }, { "q": "Let c(q) = 16*q**2. Let i(t) be the second derivative of 0*t**2 + 0*t**3 + 0 - 37*t + 1/3*t**4. Give i(c(k)).", "a": "1024*k**4" }, { "q": "Let i(o) = -14*o. Let y be 0 - (0 + 451/(-1)). Let c(d) = y + 4*d - 451. What is c(i(b))?", "a": "-56*b" }, { "q": "Let i(f) = -509304*f. Let t(y) = 20*y. Determine t(i(g)).", "a": "-10186080*g" }, { "q": "Let a(k) = -159*k**2. Let d(z) = 2*z**2 - 2292*z - 3. Calculate d(a(i)).", "a": "50562*i**4 + 364428*i**2 - 3" }, { "q": "Let r(k) = 13*k**2. Let d(c) be the second derivative of 7*c**3/3 - c**2 - 1301*c. Determine r(d(b)).", "a": "2548*b**2 - 728*b + 52" }, { "q": "Let i = 1 + -6. Let g(t) = -9*t. Let y(r) = 10*r. Let z(j) = i*g(j) - 4*y(j). Let o(n) be the second derivative of n**4/12 + 4*n. What is o(z(x))?", "a": "25*x**2" }, { "q": "Let h(g) = 872506*g. Let v(u) = 3*u**2. Calculate v(h(j)).", "a": "2283800160108*j**2" }, { "q": "Let a(k) be the first derivative of k**2/2 + 2. Let c(u) = -15*u + 15*u - 6*u - 8*u. Give a(c(j)).", "a": "-14*j" }, { "q": "Let u(r) = -r**2 - 12*r + 4. Let t(h) = 15*h - 5. Let l(v) = 4*t(v) + 5*u(v). Let i(y) = 9*y - 1. Determine i(l(g)).", "a": "-45*g**2 - 1" }, { "q": "Let x(h) = -4*h. Let b be ((-5)/10)/((-3)/30). Suppose -3*a + 0*a = d - 2, -a = -b*d - 22. Let f(z) = 105*z - 105*z + z**a. What is x(f(j))?", "a": "-4*j**2" }, { "q": "Let p(o) = 187*o**2 + 2*o. Let s(c) be the third derivative of -c**4/8 + 7*c**2 - 59*c. Determine s(p(a)).", "a": "-561*a**2 - 6*a" }, { "q": "Let x be (-1*(-2)/(-8))/1 + 37/148. Let i(k) be the second derivative of 17*k + x + 7/12*k**4 + 0*k**2 + 0*k**3. Let q(w) = 2*w. Give q(i(f)).", "a": "14*f**2" }, { "q": "Let n(r) = -2504393*r. Let g(b) = -b. What is n(g(x))?", "a": "2504393*x" }, { "q": "Let u(j) be the third derivative of -49*j**2 + 1/24*j**4 + 0 + 0*j + 0*j**3. Let t(b) = -3*b. Calculate t(u(c)).", "a": "-3*c" }, { "q": "Let v(w) = -5*w. Let x(t) = -21526*t + 1. Calculate x(v(y)).", "a": "107630*y + 1" }, { "q": "Let b(v) = 2*v. Let t(w) = 17*w**2 - w + 71865. What is t(b(f))?", "a": "68*f**2 - 2*f + 71865" }, { "q": "Let r(l) = -212 - 1207*l - 215 - 214 + 641. Let x(u) = -u**2. What is r(x(a))?", "a": "1207*a**2" }, { "q": "Let n(h) = 145*h**2 + 2*h. Let x(i) = -51*i - 2. Let p(q) = -1150*q - 45. Let m(k) = 2*p(k) - 45*x(k). Give m(n(o)).", "a": "-725*o**2 - 10*o" }, { "q": "Let y(k) be the third derivative of 0*k**3 + 0*k**4 + 2*k**2 + 0 + 1/12*k**5 + 0*k. Let j(z) = 2 + 8376*z - 1 - 8375*z - 1. Give j(y(x)).", "a": "5*x**2" }, { "q": "Let x(n) = -7441299*n**2. Let o(z) = -z. Give x(o(d)).", "a": "-7441299*d**2" }, { "q": "Let t(y) = -427720*y**2. Let p(r) = -28*r. What is t(p(u))?", "a": "-335332480*u**2" }, { "q": "Let t(v) = -2*v. Let n(s) be the second derivative of -s**4/12 + 683*s**2/2 + 349*s. Give n(t(h)).", "a": "-4*h**2 + 683" }, { "q": "Let f(u) = 1939*u**2 + 122*u. Let z(s) = 9*s**2. What is f(z(c))?", "a": "157059*c**4 + 1098*c**2" }, { "q": "Suppose -x - 3*x + 24 = 4*k, 5*x - 2 = 2*k. Let i(r) = 28*r + 20. Let y(f) = f + 1. Let c(o) = x*i(o) - 40*y(o). Let m(j) = 2*j. Calculate m(c(l)).", "a": "32*l" }, { "q": "Let z(g) = 5*g. Let v(w) be the third derivative of -2*w**2 + 0*w - 3 - 1/30*w**5 + 0*w**4 + 0*w**3. Give v(z(b)).", "a": "-50*b**2" }, { "q": "Let m(a) = -5*a - 71. Let f be m(-23). Let i(g) = -2*g - 29 + f - 3*g - 20. Let n(p) = p. Determine i(n(s)).", "a": "-5*s - 5" }, { "q": "Let l(i) = -2*i**2. Let c(y) = -291 + 9*y**2 - 2*y**2 - 142 - 5*y**2. Give c(l(o)).", "a": "8*o**4 - 433" }, { "q": "Let t(g) = 2182423*g**2. Let y(j) = -j**2. Give y(t(b)).", "a": "-4762970150929*b**4" }, { "q": "Let f be 59/8 - (6 + (-90)/16). Let y(l) = -l**2 - 1 + 1 + f*l**2. Let n(u) = u + u - 5*u. Determine n(y(t)).", "a": "-18*t**2" }, { "q": "Let s(j) = -j**2. Let x(z) = -35*z - 7 + 60*z - 40*z + 6 - 17. Give s(x(u)).", "a": "-225*u**2 - 540*u - 324" }, { "q": "Let n(l) = -l. Let r(s) be the second derivative of -s**6/240 + s**5/12 + 3*s**4/4 + 3*s - 10. Let j(y) be the third derivative of r(y). Give n(j(m)).", "a": "3*m - 10" }, { "q": "Let o(z) = -z**2 - 1. Let l(x) = 8*x**2 + 16. Let u(b) = l(b) + 16*o(b). Let i(c) be the first derivative of -3/2*c**2 - 4 + 0*c. What is i(u(k))?", "a": "24*k**2" }, { "q": "Let j(c) be the second derivative of -c**4/4 + 562*c. Let f(t) = t**2 - 6. Let o(h) = -2*h**2 + 13. Let i(s) = -13*f(s) - 6*o(s). Determine j(i(v)).", "a": "-3*v**4" }, { "q": "Let a(g) be the second derivative of 2*g**3/3 + 24*g. Let d(c) be the third derivative of 11*c**5/30 + 68*c**2. Determine d(a(m)).", "a": "352*m**2" }, { "q": "Let w(k) be the first derivative of 2*k**3 + 669. Let c(d) = -163*d**2. What is c(w(o))?", "a": "-5868*o**4" }, { "q": "Let b(l) = -13538*l. Let c(t) = 134*t**2. Give c(b(q)).", "a": "24559177496*q**2" }, { "q": "Let s(i) = -i. Let h(z) = -1019*z - 3. Let x(w) = -5116*w - 16. Let r(g) = -16*h(g) + 3*x(g). Determine r(s(y)).", "a": "-956*y" }, { "q": "Let c(j) = 4*j. Let k be -2*(-1125)/(-36)*(-28)/5. Let f(m) = k*m - 174*m - 146*m. Determine f(c(w)).", "a": "120*w" }, { "q": "Let p(s) = 16731*s. Let m(b) = 4*b. What is p(m(g))?", "a": "66924*g" }, { "q": "Let t(i) = 2*i. Let d(n) = n. Let x(a) = -5*d(a) + 2*t(a). Let q(c) = -19*c + 38897 - 38897. Determine x(q(k)).", "a": "19*k" }, { "q": "Let k(j) = -3*j - j + 10*j - 7*j. Let t(n) = -n**3 + 2*n**2 + 4*n + 1. Let d be t(3). Let o(s) = -2*s**2 - s**2 - d*s**2. Give k(o(w)).", "a": "7*w**2" }, { "q": "Let k(c) = -18*c + 2. Let m(o) be the third derivative of 7*o**4/6 + 7*o**2 + 7*o. Give k(m(b)).", "a": "-504*b + 2" }, { "q": "Let g = -49 - -56. Suppose -147 - 238 = -g*t. Let f(q) = -t*q - q**2 + 55*q - 9*q**2. Let l(h) = -2*h**2. What is l(f(o))?", "a": "-200*o**4" }, { "q": "Let d(i) = 1534*i**2. Let r(q) = q + 212. Calculate r(d(s)).", "a": "1534*s**2 + 212" }, { "q": "Let w(p) be the first derivative of 2*p**3/3 + 239. Let i(j) = -29*j + 4. Determine i(w(x)).", "a": "-58*x**2 + 4" }, { "q": "Suppose 0 = -5*p - 3*n + 45, 3*n = -2*p + 22 + 5. Let c(i) = 2*i - 9. Let y be c(p). Let j(w) = -y*w + w - 206 + 206. Let h(v) = 8*v. Determine h(j(r)).", "a": "-16*r" }, { "q": "Let o(q) = 17*q. Let j(i) = 33639*i + 3 - 1 - 33638*i. Give j(o(r)).", "a": "17*r + 2" }, { "q": "Let d(i) be the second derivative of -i**4/2 - 693*i. Let p(a) = 2*a**2 + a. Give d(p(s)).", "a": "-24*s**4 - 24*s**3 - 6*s**2" }, { "q": "Let c(l) be the first derivative of 44*l**3/3 - 733. Let b(d) = -37*d. Determine c(b(t)).", "a": "60236*t**2" }, { "q": "Let j(p) = 284*p**2. Let a(t) = -43960*t. Give j(a(x)).", "a": "548824774400*x**2" }, { "q": "Let a(f) = 4*f. Let l(h) be the third derivative of 33*h**5/20 + h**4/6 - 12*h**2 + 15. Give l(a(j)).", "a": "1584*j**2 + 16*j" }, { "q": "Let y(c) = 8527836*c. Let a(n) = 2*n**2. What is a(y(d))?", "a": "145447973685792*d**2" }, { "q": "Let s = -91 - -104. Let u(d) = d - 11 + 24 - s. Let k(p) = -52*p**2 + p. Determine u(k(q)).", "a": "-52*q**2 + q" }, { "q": "Let w = -117 - -119. Let q(t) = -5*t + w*t + 4*t + 0*t. Let f(v) = -11*v**2 + 4*v. Determine q(f(d)).", "a": "-11*d**2 + 4*d" }, { "q": "Let r(y) = -2*y. Let x(s) = -9 - 5 + 1802*s**2 - 1835*s**2. Give x(r(k)).", "a": "-132*k**2 - 14" }, { "q": "Let a(h) = -2*h**2. Let r(q) = -q - 9. Let t be r(-11). Let g(c) = 130*c**2 - 245*c**t + 132*c**2. What is g(a(d))?", "a": "68*d**4" }, { "q": "Let a(i) = -5*i**2 - 16*i - 4. Let l(u) = -u**2 - 4*u - 1. Let b(c) = -3*a(c) + 12*l(c). Let f(x) = -330*x**2. Calculate b(f(j)).", "a": "326700*j**4" }, { "q": "Let r(b) = b. Let w(z) = -10709242*z**2. Calculate w(r(j)).", "a": "-10709242*j**2" }, { "q": "Let v(m) = -1124*m + 580*m + 574*m. Let q(w) = -w**2. Let b(n) = 5*n**2. Let j(u) = b(u) + 4*q(u). What is v(j(t))?", "a": "30*t**2" }, { "q": "Let t(i) = 9*i**3 - 3*i - 2. Let l be t(-1). Let x be (-44)/(-16) - (10/l - -2). Let s(z) = -18*z**2 - 1 + 1 + 20*z**x. Let d(k) = -6*k**2. Determine d(s(y)).", "a": "-24*y**4" }, { "q": "Let j(z) = -3523*z. Let b(p) = 39*p - 1. What is b(j(t))?", "a": "-137397*t - 1" }, { "q": "Let g(v) = 3*v**2. Let q(c) = 1039893*c**2. Give q(g(o)).", "a": "9359037*o**4" }, { "q": "Let n(o) = -4*o. Let b(z) = -16 + 33*z**2 + 30*z**2 - 16*z - 59*z**2. Let j(h) = 16*h + 2 - 21*h - 7 + h**2. Let c(v) = -5*b(v) + 16*j(v). What is c(n(r))?", "a": "-64*r**2" }, { "q": "Let l(x) = -17*x**2 - 22. Let v(u) = u**2 - 2. Let j(m) = -l(m) + 5*v(m). Let d(f) be the first derivative of j(f). Let n(z) = -z. Give n(d(w)).", "a": "-44*w" }, { "q": "Let k(s) = 38*s. Let u(c) = c**2 - 3*c - 55526. Give k(u(a)).", "a": "38*a**2 - 114*a - 2109988" }, { "q": "Let l(v) = -103*v. Let n(x) be the third derivative of -x**5/60 - 34*x**3/3 + 52*x**2. Let s(w) be the first derivative of n(w). Calculate s(l(q)).", "a": "206*q" }, { "q": "Let v(q) = 172*q. Let h(o) be the first derivative of -2*o**2 + 1451. What is h(v(p))?", "a": "-688*p" }, { "q": "Let z(q) be the second derivative of -29*q**4/12 + 81*q. Let c(h) be the second derivative of 0 + 0*h**3 + 0*h**2 - 1/6*h**4 - h. Calculate z(c(x)).", "a": "-116*x**4" }, { "q": "Let n(o) = -8*o. Let f(b) = 5*b**2 + 6*b - 3. Let h(a) = 4*a + 4775 + 6*a**2 - 2*a**2 - 4777. Let u(l) = -2*f(l) + 3*h(l). Give n(u(d)).", "a": "-16*d**2" }, { "q": "Let b(u) = u + 1. Let j(a) = -95*a - 4. Let c be ((-5)/2)/(185/(-74)). Let k(f) = c*j(f) + 4*b(f). Let t(r) = r**2. Give t(k(d)).", "a": "8281*d**2" }, { "q": "Let a(p) = 6*p. Let u(n) = 11020*n + 33. Determine u(a(f)).", "a": "66120*f + 33" }, { "q": "Let l(b) = 21*b**2. Let j(p) = 204382*p**2. Give j(l(w)).", "a": "90132462*w**4" }, { "q": "Let b(i) = 8*i**2 + i**2 + i**2 - 2*i**2. Let m(k) be the third derivative of k**4/12 - 48*k**2. Determine b(m(p)).", "a": "32*p**2" }, { "q": "Let d(u) = 1097*u**2. Let z(o) = o**2 + o - 10. Let p(j) = 2*j**2 + 3*j - 30. Let v(b) = 2*p(b) - 6*z(b). Calculate v(d(x)).", "a": "-2406818*x**4" }, { "q": "Let j(s) = -29*s**2. Let b(t) = -34265*t. Determine b(j(a)).", "a": "993685*a**2" }, { "q": "Let v(o) = o - 726678. Let m(f) = f. What is m(v(r))?", "a": "r - 726678" }, { "q": "Let c = -2 - -5. Let a(p) = -2*p + 7*p - c*p. Let b(g) = -7*g**2. Let l(w) = 6*w**2. Let i(u) = -3*b(u) - 2*l(u). What is a(i(z))?", "a": "18*z**2" }, { "q": "Let f(p) = p**2. Let i(o) = o + 186*o + 412*o + 434*o. What is i(f(s))?", "a": "1033*s**2" }, { "q": "Let i(t) = -44*t**2. Let h(w) be the second derivative of w**4/2 + 2*w**3/3 - 79*w + 1. Determine h(i(b)).", "a": "11616*b**4 - 176*b**2" }, { "q": "Let r(x) = -4*x**2 - 4. Suppose -211*c - 8 = -215*c. Let a(u) = -58*u**c + 31*u**2 + 24*u**2. What is r(a(p))?", "a": "-36*p**4 - 4" }, { "q": "Let f(n) = n**2 + 2. Let u(l) = -8*l**2 - 17. Suppose 816 = 7*i + 9*i. Let k(a) = i*f(a) + 6*u(a). Let p(m) = 7*m. Calculate k(p(o)).", "a": "147*o**2" }, { "q": "Let p(u) = 5506*u**2 + 0 + 37*u + 0 - 5505*u**2. Let i(g) = -11*g. Give i(p(k)).", "a": "-11*k**2 - 407*k" }, { "q": "Let h(g) = -7775*g**2 - 6. Let q(d) = -19*d**2. What is h(q(m))?", "a": "-2806775*m**4 - 6" }, { "q": "Let o(s) = -560*s**2. Let a(r) = -2*r**2 + 6*r + 360. Calculate a(o(u)).", "a": "-627200*u**4 - 3360*u**2 + 360" }, { "q": "Let j(c) be the second derivative of -7*c**5/60 + c**2/2 + 49*c. Let g(w) be the first derivative of j(w). Let m(k) = -2*k + k - k. Determine m(g(z)).", "a": "14*z**2" }, { "q": "Let p(v) = 2758*v**2. Let f(c) = 4*c**2 + 10*c + 25. Let t(u) = 6*u**2 + 16*u + 40. Let z(h) = 8*f(h) - 5*t(h). Determine z(p(n)).", "a": "15213128*n**4" }, { "q": "Let h(b) = b + 41. Let a(f) = -6458*f. Determine a(h(s)).", "a": "-6458*s - 264778" }, { "q": "Let w(n) = -16721683 + 2*n**2 + 16721683. Let g(l) = -l**2 + 4*l - 4. Let a(y) = y**2 - 5*y + 3. Let s(c) = 4*a(c) + 5*g(c). Calculate s(w(m)).", "a": "-4*m**4 - 8" }, { "q": "Let u(q) = -697*q. Let o(n) = -n**2 - 2390. Give u(o(l)).", "a": "697*l**2 + 1665830" }, { "q": "Let b(m) = -9*m**2 - 24*m + 24. Suppose 0 = -20*o + 7*o - 65. Let n(x) = -2*x**2 - 5*x + 5. Let j(s) = o*b(s) + 24*n(s). Let f(k) = -26*k**2. Determine j(f(w)).", "a": "-2028*w**4" }, { "q": "Let h(t) = t. Suppose 19*p = 23*p - 8. Let a(n) = 5914*n**p - 1 + 1 - 6038*n**2. What is h(a(m))?", "a": "-124*m**2" }, { "q": "Let b(n) = 73*n. Suppose 4*d - 3*d - 5*h - 125 = 0, -2*d = 4*h - 208. Let z(j) = 6*j - 110 + d - 5*j. Determine b(z(y)).", "a": "73*y" }, { "q": "Let t(l) = -12*l. Let o(n) = -30914*n + 2. What is o(t(m))?", "a": "370968*m + 2" }, { "q": "Let c(u) = -2*u. Let z(i) = -370948*i**2. Determine c(z(b)).", "a": "741896*b**2" }, { "q": "Let z(v) = 6*v. Let s(a) = 3*a - 3. Let r be s(3). Suppose r*l - 5 = 7. Let u(y) = -11*y**2 + 0*y**2 + 7*y**2 + 2*y**l. Determine z(u(c)).", "a": "-12*c**2" }, { "q": "Let q(w) be the first derivative of -w**3/3 - 941. Let v(j) = j**2 + 7*j. Determine q(v(g)).", "a": "-g**4 - 14*g**3 - 49*g**2" }, { "q": "Let c(t) = -75*t. Let z(o) = o - 2492*o**2 + 1246*o**2 + 1243*o**2 - o. Give c(z(s)).", "a": "225*s**2" }, { "q": "Let q(w) = w - 5*w - 3*w. Let r be (-520)/(-72) + 4/(-18). Let b(m) = 7*m + 3*m + 0*m - r*m. What is q(b(z))?", "a": "-21*z" }, { "q": "Let t(i) = -14*i + 35. Let g(o) = -66*o - 40. Give t(g(c)).", "a": "924*c + 595" }, { "q": "Let g(d) = -14*d + 38. Let y(k) = 35*k**2 - 36*k. What is g(y(t))?", "a": "-490*t**2 + 504*t + 38" }, { "q": "Let r(s) = -3*s - 4*s - 4 + 4 - 3*s. Let k(p) = -11*p - 3. Determine k(r(h)).", "a": "110*h - 3" }, { "q": "Let x(s) = -70*s. Let q(i) = 17453*i**2. Give q(x(n)).", "a": "85519700*n**2" }, { "q": "Let a(c) = 2341*c**2. Let p(m) be the first derivative of m**3/3 + 323. Give p(a(j)).", "a": "5480281*j**4" }, { "q": "Let y(o) = -14*o + 4. Let l be y(2). Let f be ((-2)/(-6))/((-4)/l). Let i(r) = 126*r**2 - 124*r**f - 2 + 2. Let q(d) = -3*d**2. Determine i(q(t)).", "a": "18*t**4" }, { "q": "Let x(a) = -2*a. Let o(l) = -102*l**2 - 8*l. Let b(c) = 99*c**2 + 8*c. Let n(m) = -3*b(m) - 4*o(m). Determine n(x(h)).", "a": "444*h**2 - 16*h" }, { "q": "Let v(t) = 1822*t**2. Let h(y) be the third derivative of -y**5/30 + 15*y**2 - 18. What is v(h(q))?", "a": "7288*q**4" }, { "q": "Let w = -39 + 33. Let c be (-12)/(-6)*(-27)/w. Let g(l) = 7*l - 6*l + c*l - 3*l. Let x(p) = 2*p**2. Give g(x(z)).", "a": "14*z**2" }, { "q": "Let u(h) = -2*h**2. Let k(i) = -i**2 + 6*i - 6. Let j = 216 - 210. Let n(c) = -7*c**2 + 49*c - 49. Let o(y) = j*n(y) - 49*k(y). Calculate u(o(a)).", "a": "-98*a**4" }, { "q": "Let i(k) be the third derivative of 0*k + 0 + 38*k**2 + 0*k**3 - 11/24*k**4. Let q(f) = 2*f**2. Determine i(q(x)).", "a": "-22*x**2" }, { "q": "Let g(y) = -29419*y. Let f(r) = -r**2 + 77*r. What is g(f(t))?", "a": "29419*t**2 - 2265263*t" }, { "q": "Let u(f) = 3*f**2. Let n(l) = -l**2 + 4*l - 3859. Calculate n(u(w)).", "a": "-9*w**4 + 12*w**2 - 3859" }, { "q": "Let o(c) = 744*c. Let d(h) = -269*h**2 + 6. Give d(o(b)).", "a": "-148901184*b**2 + 6" }, { "q": "Let w(x) = -3*x - 22. Let v(o) be the second derivative of -2*o**3/3 + 227*o + 1. Determine v(w(d)).", "a": "12*d + 88" }, { "q": "Let h(j) = 168*j**2. Let x(w) = -25*w**2 + 18*w. What is x(h(k))?", "a": "-705600*k**4 + 3024*k**2" }, { "q": "Let g(u) = 40 - 110 + 2*u + 10 - 4*u. Let k(d) = -15*d. Determine g(k(f)).", "a": "30*f - 60" }, { "q": "Let y(j) = -j + 10. Let u be y(-7). Let d(a) = -6*a**2 + u*a - 4*a - 13*a. Let n(o) = 0*o**2 + 7*o**2 - 10*o**2. Determine d(n(x)).", "a": "-54*x**4" }, { "q": "Let k(j) = -2*j. Let u(q) = -43*q + 260*q + 784*q - 187*q + 677*q. Give k(u(a)).", "a": "-2982*a" }, { "q": "Let w(b) = b**2. Let f(a) = -a + 22. Let r be f(-10). Let g(j) = -87*j + 28*j + r*j - 3 + 29*j. Determine w(g(l)).", "a": "4*l**2 - 12*l + 9" }, { "q": "Let b(m) = m. Suppose 0 = 3*t - 6*t + 21. Let r(h) = 7*h - t - 4*h + 4*h + 8. What is b(r(w))?", "a": "7*w + 1" }, { "q": "Let l(u) = 7*u + 2. Let o(x) = 4*x + 3. Let y(h) = 3*l(h) - 2*o(h). Let s(d) = -21*d. Determine y(s(m)).", "a": "-273*m" }, { "q": "Let d(s) = 31*s. Let z = 183 - 181. Let c(p) be the first derivative of 0*p - 3 + 1/3*p**3 + 0*p**z. Determine c(d(y)).", "a": "961*y**2" }, { "q": "Suppose 8*n = 7*n - 2*w + 14, -3*n = 4*w - 32. Let r(m) = -m + 1. Let z(c) = 6*c**2 - 4*c + 7. Let p(u) = n*r(u) - z(u). Let o(l) = -l. Determine o(p(y)).", "a": "6*y**2 + 3" }, { "q": "Let v(h) = -8*h**2 - 8154*h. Let c(a) = 8*a. What is v(c(o))?", "a": "-512*o**2 - 65232*o" }, { "q": "Let s(t) = -t. Let l(i) be the first derivative of -339*i**2/2 + 2*i - 376. Determine s(l(w)).", "a": "339*w - 2" }, { "q": "Let f(u) = -393*u. Let c(l) be the second derivative of -l**3/2 + 835*l. What is c(f(j))?", "a": "1179*j" }, { "q": "Suppose 9*g - 205 + 187 = 0. Let o(y) be the second derivative of -4/3*y**4 + y + 0*y**g + 0 + 0*y**3. Let k(s) = s**2. Determine k(o(q)).", "a": "256*q**4" }, { "q": "Let m(s) = -24365607*s**2. Let o(u) = -2*u. Give m(o(w)).", "a": "-97462428*w**2" }, { "q": "Let c(p) = 2*p + 56 - p - 31 - 25. Let o(k) = -193*k**2. Give c(o(l)).", "a": "-193*l**2" }, { "q": "Let c(w) = -49*w - 2. Let k(s) = 24995*s**2. Give c(k(q)).", "a": "-1224755*q**2 - 2" }, { "q": "Let z(v) be the first derivative of -19/3*v**3 + 0*v**2 + 0*v + 37. Let l(a) = -2*a. Calculate l(z(p)).", "a": "38*p**2" }, { "q": "Let w(r) = 2*r. Suppose -11*f + 186 + 111 = 0. Let v(h) = -55 - f*h + 55. Give w(v(l)).", "a": "-54*l" }, { "q": "Let y(w) = w. Let q(j) = 16*j**2 + 58*j - 16. Let s(f) = 2*f + 1. Let l(r) = q(r) + 16*s(r). Calculate l(y(u)).", "a": "16*u**2 + 90*u" }, { "q": "Let x(o) = -191*o**2. Let a(f) = 2*f + 8. Let s(g) = -4. Let k(n) = -2*a(n) - 4*s(n). Give k(x(q)).", "a": "764*q**2" }, { "q": "Let a(n) = 21*n - 77. Let b(i) = -34*i + 155. Let g(u) = -5*a(u) - 3*b(u). Let x(d) = 6*d**2. Give g(x(k)).", "a": "-18*k**2 - 80" }, { "q": "Let d(k) = 27*k**2 + 1. Let m(n) = n - 1990. Determine d(m(w)).", "a": "27*w**2 - 107460*w + 106922701" }, { "q": "Let f(d) = 3*d - 13. Let q(u) = -79*u**2 - 5*u - 12. What is q(f(y))?", "a": "-711*y**2 + 6147*y - 13298" }, { "q": "Let i(n) = 12*n**2. Let s(j) be the first derivative of 0*j**2 + 2/3*j**3 + 0*j - 57. Give i(s(m)).", "a": "48*m**4" }, { "q": "Let b(u) = -2*u**2 - 57*u + 3. Let r(m) = -364*m. Give b(r(f)).", "a": "-264992*f**2 + 20748*f + 3" }, { "q": "Let l(d) = -d**2. Let j(v) = -53*v**2 - 19431. Give j(l(b)).", "a": "-53*b**4 - 19431" }, { "q": "Let c(o) = 4*o. Let b(t) be the first derivative of -49*t**3/3 + t**2/2 + 449. Determine b(c(g)).", "a": "-784*g**2 + 4*g" }, { "q": "Let q(l) = -6*l. Let z(k) = -307534*k + 2. Calculate q(z(n)).", "a": "1845204*n - 12" }, { "q": "Let s(i) = -52*i. Suppose 4*p = -a + 22, 3*a - 8 - 13 = -3*p. Let h(m) = -11*m**2 + 2*m**2 + 8*m**a + 3*m**2. Give s(h(x)).", "a": "-104*x**2" }, { "q": "Let q(f) = 2*f**2. Suppose -22*l + 19*l + 5*r = 25, 2*l = -5*r + 25. Let c(g) be the third derivative of l*g + 7/8*g**4 - g**2 + 0 + 0*g**3. Calculate c(q(o)).", "a": "42*o**2" }, { "q": "Let w be -5*7/(-3) + (-20)/30. Let h(m) = w*m**2 + 9 - 13 + 4. Let v(z) = -8*z**2. Determine h(v(s)).", "a": "704*s**4" }, { "q": "Let d be (7 + (-117)/18)/((-2)/(-164)). Let g(k) = -d*k + 22*k + 16*k. Let z(n) = -47*n. What is g(z(h))?", "a": "141*h" }, { "q": "Let k(m) = -4*m**2 - 124443*m. Let t(r) = r. Give t(k(p)).", "a": "-4*p**2 - 124443*p" }, { "q": "Let j(l) = -4012*l**2. Let h(y) = -8*y**2 - 3. What is h(j(n))?", "a": "-128769152*n**4 - 3" }, { "q": "Let u(x) = -8*x**2. Let z(q) be the second derivative of 7/12*q**4 + 0*q**2 + 0*q**3 + 11*q + 2. What is u(z(w))?", "a": "-392*w**4" }, { "q": "Let o(n) be the second derivative of 17/6*n**3 - 69*n + 0*n**2 + 0. Let q(y) = -3*y**2. Give o(q(i)).", "a": "-51*i**2" }, { "q": "Let w(o) = o**2 - 2*o + 12197. Let r(d) = 16*d. What is r(w(g))?", "a": "16*g**2 - 32*g + 195152" }, { "q": "Let u(j) be the first derivative of -51*j**2/2 + 1889. Let i(g) = -7*g + 11. Let f(b) = -4*b + 6. Let r(z) = 11*f(z) - 6*i(z). Give u(r(p)).", "a": "102*p" }, { "q": "Let t(r) = 75399*r. Let z(u) = -6*u**2 + 2*u. What is z(t(b))?", "a": "-34110055206*b**2 + 150798*b" }, { "q": "Let u(r) = 2*r**2 + 2. Let d(s) = 33*s**2 + 9. Let t(l) = -11*l**2 - 2. Let o(z) = -2*d(z) - 9*t(z). Give o(u(f)).", "a": "132*f**4 + 264*f**2 + 132" }, { "q": "Let w(i) = -884032*i + 1. Let f(r) = -r**2. Determine w(f(o)).", "a": "884032*o**2 + 1" }, { "q": "Let k(q) = 3*q. Let w(j) = 1753*j + 1203*j - 1941*j. Give k(w(i)).", "a": "3045*i" }, { "q": "Let r(d) = d**2. Suppose 5*m - 7 = 3*c - 4*c, 1 = 2*c - 3*m. Let t be 21/((-1)/(c - 3)). Let f(n) = 11*n - t*n**2 - 11*n. Calculate r(f(v)).", "a": "441*v**4" }, { "q": "Let x(i) = -2*i**2. Let p(r) = -261076*r. Give p(x(q)).", "a": "522152*q**2" }, { "q": "Let r(u) = u - 24. Let n(m) = -12*m - 70. Let i(j) = 2*n(j) - 6*r(j). Let g(t) = -2*t**2. Calculate g(i(o)).", "a": "-1800*o**2 + 480*o - 32" }, { "q": "Let y(r) be the second derivative of -r**3/6 - 1080*r. Let c(l) = 533*l. What is c(y(s))?", "a": "-533*s" }, { "q": "Let r(k) = 2*k**2 - 5090056*k. Let q(f) = -f. Give q(r(s)).", "a": "-2*s**2 + 5090056*s" }, { "q": "Suppose -3*a = 4*u + 1 - 9, 2*u = 3*a + 4. Let f(h) = h. Let o(g) = g**2 - 2*g. Let l(j) = u*f(j) + o(j). Let c(d) = -224*d. Calculate l(c(s)).", "a": "50176*s**2" }, { "q": "Let z(l) = 4*l**2. Let f(y) = -39480*y**2. Determine f(z(v)).", "a": "-631680*v**4" }, { "q": "Let d(j) = j**2 - 1388*j + 6. Let s(u) = -7*u. Determine d(s(t)).", "a": "49*t**2 + 9716*t + 6" }, { "q": "Let t(q) = 3*q. Let b(w) = -6908907*w. Calculate b(t(j)).", "a": "-20726721*j" }, { "q": "Let p(v) = 2*v**2. Let d(m) be the third derivative of 59*m**5/60 - m**3/6 - 120*m**2. Determine p(d(s)).", "a": "6962*s**4 - 236*s**2 + 2" }, { "q": "Let l(c) = c. Let n(p) be the third derivative of 363*p**4/4 + p**2 + 443*p. Determine l(n(g)).", "a": "2178*g" }, { "q": "Let z(v) be the first derivative of 6 + v**2 - 2 - 2. Let j(w) be the first derivative of -13*w**3 - 1205. What is z(j(k))?", "a": "-78*k**2" }, { "q": "Let b(c) = 4*c - 3. Let i(p) = 38*p - 23. Let h(k) = 14*b(k) - 2*i(k). Let r(x) = 4*x**2. Calculate r(h(m)).", "a": "1600*m**2 - 640*m + 64" }, { "q": "Let j = -9 - -2. Let s = -5 - j. Let d(l) = -2 - 388*l + s + 381*l. Let n(c) = 2*c. What is d(n(m))?", "a": "-14*m" }, { "q": "Let k(s) be the first derivative of 15*s**2 + 43. Let t(q) be the first derivative of 4*q**3/3 + 39. What is t(k(n))?", "a": "3600*n**2" }, { "q": "Let j(d) be the third derivative of d**5/30 - 371*d**4/6 + d**2 - 961. Let i(m) = -m. Give j(i(q)).", "a": "2*q**2 + 1484*q" }, { "q": "Let o(h) = -3*h + 1. Let w(d) = 1. Let r(n) = -n - 1. Let m(q) = -5*r(q) - 7*w(q). Let i(z) = m(z) + 2*o(z). Let b(g) = 48*g. What is i(b(a))?", "a": "-48*a" }, { "q": "Let w(p) = 317*p**2. Let t(x) = -133*x**2 + 264*x**2 - 135*x**2. Give w(t(m)).", "a": "5072*m**4" }, { "q": "Let s(b) = b. Suppose -4*h = -5*h. Suppose h = -2*j + 2, 2*z - 3*z + 18 = -j. Let q(k) = -z*k - 13*k + 2 - 2. What is q(s(x))?", "a": "-32*x" }, { "q": "Let m(s) = 170*s**2 - 322*s**2 + 153*s**2. Let q(x) = 3*x**2 - 269. What is q(m(n))?", "a": "3*n**4 - 269" }, { "q": "Let g = 19 + -13. Let z be (10/g - (-10)/30) + 2. Let i(q) = -z*q - 249 + 249. Let f(w) = -2*w. Calculate i(f(o)).", "a": "8*o" }, { "q": "Let r(a) = -9*a. Let o(x) = 5*x. Let w(f) = 5*o(f) + 3*r(f). Let k = 18488 + -10708. Let m(t) = k - 7780 + 25*t. What is m(w(d))?", "a": "-50*d" }, { "q": "Let r(b) = 456*b + 458*b + 459*b - 1269*b. Let x(j) = -j. What is x(r(a))?", "a": "-104*a" }, { "q": "Let z(v) be the first derivative of -v**2/2 - v - 1117. Let u(k) = -16*k. Determine u(z(d)).", "a": "16*d + 16" }, { "q": "Let g(f) = 6535803*f**2. Let n(p) = -3*p**2. What is n(g(k))?", "a": "-128150162564427*k**4" }, { "q": "Let w(p) = 296330*p. Let z(j) = 9*j. Calculate w(z(o)).", "a": "2666970*o" }, { "q": "Let d(b) = -4*b**2. Let k(p) be the third derivative of -p**7/630 - 5*p**4/24 + 23*p**2. Let s(m) be the second derivative of k(m). Calculate d(s(x)).", "a": "-64*x**4" }, { "q": "Let m(h) = -3*h. Let s be 30/25 - (-16)/20. Let f(c) = -16*c**2 + 12*c**s + 3*c**2. Give m(f(y)).", "a": "3*y**2" }, { "q": "Let p(h) = -35547*h**2. Let a(c) = 11*c. What is p(a(l))?", "a": "-4301187*l**2" }, { "q": "Let b(m) = -22*m**2 - 2*m. Let z(y) = 388*y**2. What is b(z(h))?", "a": "-3311968*h**4 - 776*h**2" }, { "q": "Let g(m) = -11 - 6*m**2 - 13*m**2 + 13. Let v(t) = -17*t - 5*t + 21*t. Determine g(v(k)).", "a": "-19*k**2 + 2" }, { "q": "Let n(p) = 5895*p. Let k(m) = 22*m. Calculate k(n(q)).", "a": "129690*q" }, { "q": "Let z(r) = r**2. Let x(o) = -1647763*o**2 - 2. What is x(z(m))?", "a": "-1647763*m**4 - 2" }, { "q": "Let v(l) = l**2. Let u(o) be the second derivative of 113*o**4/12 + 59*o - 3. Give v(u(x)).", "a": "12769*x**4" }, { "q": "Let u(s) = 9*s**2 - 14*s. Let y(q) = -21*q**2 - 135*q - 9. Let x(b) = -10*b**2 - 60*b - 4. Let p(i) = 9*x(i) - 4*y(i). Determine u(p(m)).", "a": "324*m**4 + 84*m**2" }, { "q": "Let p(g) be the third derivative of -7*g**5/60 + 36*g**2 + 1. Let k(v) = -v**2 - 60. Calculate k(p(m)).", "a": "-49*m**4 - 60" }, { "q": "Let h(l) = -11*l**2 - 6*l + 96. Let w(t) = 12*t**2 + 7*t - 112. Let z(o) = 7*h(o) + 6*w(o). Let f(c) = 59*c. Determine f(z(a)).", "a": "-295*a**2" }, { "q": "Let b(n) = -4*n - 8. Let o(y) = 3*y + 12. Let d(a) = -6*b(a) - 4*o(a). Let l(c) = -3*c. Calculate d(l(u)).", "a": "-36*u" }, { "q": "Let q(c) = -17*c. Let t(l) = -759903*l**2. Determine q(t(f)).", "a": "12918351*f**2" }, { "q": "Let d be 10/15 - (-1)/3. Let l(s) = s. Let c(f) = -4*f. Let g(a) = d*c(a) + 2*l(a). Let o(p) be the second derivative of -5*p**4/3 + 34*p. Calculate g(o(v)).", "a": "40*v**2" }, { "q": "Let x(q) = -10*q**2. Let y(r) = 9088 + 9081 - 27247 + 9080 - 5*r. Determine y(x(k)).", "a": "50*k**2 + 2" }, { "q": "Let j(x) = 25 - 12 + 27*x + 0 - 13. Let o(u) = 7*u. What is o(j(m))?", "a": "189*m" }, { "q": "Let y(f) = -2*f**2. Let g(j) = j**3 - 10*j**2 + 16*j + 2. Let w be g(8). Let q(h) = -3*h - 17*h**w + 9*h**2 + 9*h**2. What is y(q(r))?", "a": "-2*r**4 + 12*r**3 - 18*r**2" }, { "q": "Let t(r) = -399*r**2 + 119. Let f(p) = -20*p**2 + 6. Let y(m) = -119*f(m) + 6*t(m). Let b(v) be the second derivative of -v**4/12 + 8*v + 32. Determine y(b(s)).", "a": "-14*s**4" }, { "q": "Let t(n) = n. Let x(a) = -5*a - 48. Let y be x(0). Let j = y + 48. Let o(g) = -g - g + j*g - g. What is o(t(k))?", "a": "-3*k" }, { "q": "Let i(z) = 5*z + 0*z - 4*z. Suppose 18*o - 410 = 13*o. Let l(t) = 55*t + 47*t - o*t. Calculate l(i(n)).", "a": "20*n" }, { "q": "Let d(y) = -2081*y. Let t(o) = 1183*o. Calculate d(t(x)).", "a": "-2461823*x" }, { "q": "Let w(g) = 4*g + 18. Let z(n) be the third derivative of -n**7/1260 - 49*n**4/24 + n**3/6 - 28*n**2. Let t(v) be the second derivative of z(v). Give w(t(s)).", "a": "-8*s**2 + 18" }, { "q": "Let y(n) = 6*n. Let p(r) = 601*r - 446. What is p(y(g))?", "a": "3606*g - 446" }, { "q": "Let g(i) = 11*i**2. Let u(v) = 1 + 236*v**2 - 1 + 113*v**2 - 245*v**2. Give g(u(f)).", "a": "118976*f**4" }, { "q": "Let v(k) = -6*k**2. Suppose 5*j + 3*l - 11 = 0, j - 21*l - 19 = -16*l. Let u(w) = 0*w**2 - j*w**2 - 2*w**2 + 5*w**2. What is u(v(n))?", "a": "-36*n**4" }, { "q": "Let k(c) = -18*c**2. Let j(h) = -330870*h + 2. What is j(k(y))?", "a": "5955660*y**2 + 2" }, { "q": "Let i(k) = -2*k. Let u(w) = 10950*w + 380. Give u(i(v)).", "a": "-21900*v + 380" }, { "q": "Let i(v) = 2*v**2. Let q(h) = h**2 - h - 2. Let a(m) be the first derivative of -2*m**3 - m**2 + 2*m - 26. Let f(r) = a(r) + q(r). What is i(f(c))?", "a": "50*c**4 + 60*c**3 + 18*c**2" }, { "q": "Let h(o) = 5*o - 5*o**2 - 4 + 11*o - 19*o + 1. Let x(b) = -11*b**2 - 7*b - 7. Let c(v) = -7*h(v) + 3*x(v). Let z(q) = 3*q + 2 - 2. What is z(c(a))?", "a": "6*a**2" }, { "q": "Let i(x) = -8*x. Let r(k) be the second derivative of k**5/30 + 7*k**3/6 - k**2/2 - 78*k. Let z(m) be the second derivative of r(m). Determine i(z(u)).", "a": "-32*u" }, { "q": "Let c(v) = -v. Suppose 3*f + 21 = 2*u - 3*u, 5*f + 35 = -2*u. Let z = 9 + f. Let a(k) = z - 2 - 3*k + 0. Determine c(a(y)).", "a": "3*y" }, { "q": "Let d(t) = -11*t**2. Let r(s) = 682480*s. Give r(d(h)).", "a": "-7507280*h**2" }, { "q": "Let y(n) = -3*n**2 + 64. Let l(q) = -11*q + 17*q + 7*q - 12*q. Give y(l(w)).", "a": "-3*w**2 + 64" }, { "q": "Let y(f) = f**3 - 5*f**2 - 6*f + 1. Let k be y(6). Let l(a) = 1 - k + 3*a. Let d(v) = 12*v. Let x(c) = 7*c. Let r(z) = -d(z) + x(z). What is l(r(q))?", "a": "-15*q" }, { "q": "Let g(s) = -1972*s**2 + 340*s - 68. Let j(r) = 146*r**2 - 25*r + 5. Let n(t) = -5*g(t) - 68*j(t). Let d(a) = -a. Give n(d(k)).", "a": "-68*k**2" }, { "q": "Let j(n) = 4*n - 1. Let b(i) be the first derivative of 11*i**3/3 - 66. What is j(b(w))?", "a": "44*w**2 - 1" }, { "q": "Let x(p) = -p**2. Let z(u) = 21. Let t(b) = -644*b - 40572. Let j(v) = -t(v) - 1932*z(v). What is j(x(l))?", "a": "-644*l**2" }, { "q": "Let t(r) = -7*r**2. Let k(h) = -361*h + 714*h - 354*h. Let p(l) = -10*l. Let v(j) = -25*k(j) + 3*p(j). Determine t(v(g)).", "a": "-175*g**2" }, { "q": "Let g(n) = 94*n**2. Let c(w) be the second derivative of -w**4/12 - w + 240. Calculate c(g(d)).", "a": "-8836*d**4" }, { "q": "Let y(l) = 1299596*l**2. Let g(r) = -7*r**2. Determine y(g(m)).", "a": "63680204*m**4" }, { "q": "Let d(w) = 25*w. Let g(b) = 597*b. Let x(n) = -6*d(n) + g(n). Let k(c) = 6*c. Determine k(x(y)).", "a": "2682*y" }, { "q": "Let k(q) = 14 - 9*q**2 - 14 - 5*q. Let z(d) be the second derivative of d**4/6 + 3*d + 34. Give k(z(n)).", "a": "-36*n**4 - 10*n**2" }, { "q": "Let u(h) = 1725968*h**2. Let w(k) = 5*k. Give u(w(m)).", "a": "43149200*m**2" }, { "q": "Let y(u) = -5*u - 3*u + 3*u. Let i(g) be the second derivative of 7*g**4/6 + 9238*g. Give i(y(b)).", "a": "350*b**2" }, { "q": "Let u(n) = 68*n. Let i(g) = 12067*g**2 + 2*g. Give i(u(s)).", "a": "55797808*s**2 + 136*s" }, { "q": "Let k(l) = -12 - 18*l**2 + 12. Let y(x) = 5*x**2 - 8*x + 16. Let f(b) = b**2 - 2*b + 4. Let m(g) = 4*f(g) - y(g). Give k(m(s)).", "a": "-18*s**4" }, { "q": "Let l(x) = -378*x. Suppose 2*t = a - 6 - 5, 5*a = 4*t + 49. Let z(n) = -190*n. Let f(m) = a*z(m) - 4*l(m). Let g(q) = 2*q. Calculate g(f(w)).", "a": "-396*w" }, { "q": "Let o(j) = 50*j. Let s be 4/8 - (3 + 2031/(-2)). Let u(g) = 3*g + s - 1013. Give u(o(q)).", "a": "150*q" }, { "q": "Let b(i) be the first derivative of 23*i**2/2 + 1. Let f(q) = 421*q - 36*q - 388*q. Calculate b(f(d)).", "a": "-69*d" }, { "q": "Let q(y) = 2*y**2. Let p(k) = -9*k**2 - 56*k + 1. Let o(g) = -8*g**2 - 48*g + 1. Let f(b) = 7*o(b) - 6*p(b). Determine f(q(j)).", "a": "-8*j**4 + 1" }, { "q": "Let f(k) = -5*k + 14*k**2 + 5*k + 6*k**2 - 22*k**2. Let z(g) = -248*g**2 + 2*g. Determine z(f(b)).", "a": "-992*b**4 - 4*b**2" }, { "q": "Let i(k) = -11*k**2. Let v(x) be the third derivative of x**5/40 + 5*x**3/3 + 53*x**2. Let r(a) be the first derivative of v(a). Calculate i(r(w)).", "a": "-99*w**2" }, { "q": "Let b(l) = -2803373*l. Let i(f) = 4*f**2. What is i(b(m))?", "a": "31435600708516*m**2" }, { "q": "Let l(q) = 43*q. Let c(f) = 2135*f**2 + 4*f + 4. Determine c(l(h)).", "a": "3947615*h**2 + 172*h + 4" }, { "q": "Let a(k) = 14*k. Let r(x) be the first derivative of x**2 + 652. What is a(r(q))?", "a": "28*q" }, { "q": "Let p(z) = -z - 11978 - 176*z**2 + 11978. Let x(s) = 3*s. Determine p(x(d)).", "a": "-1584*d**2 - 3*d" }, { "q": "Let y(f) = 7*f**2. Let k(l) be the first derivative of l**5/30 + 4*l**2 + 2*l - 10. Let u(m) be the second derivative of k(m). Give y(u(c)).", "a": "28*c**4" }, { "q": "Let r(k) = -3*k. Let h(n) = -n + 4 + 14 - 19. Let p(v) = -8*v - 21. Let o(c) = 5*h(c) - p(c). Calculate r(o(m)).", "a": "-9*m - 48" }, { "q": "Let a(x) = -2 + 7*x + 0 + 2. Let f(r) be the second derivative of -r**5/40 - 9*r**3/2 - 33*r. Let y(g) be the second derivative of f(g). Determine a(y(u)).", "a": "-21*u" }, { "q": "Let f(l) be the first derivative of -25*l**2 - 588. Let k(v) = v. Give f(k(u)).", "a": "-50*u" }, { "q": "Let h(c) be the first derivative of -7*c**3/3 + 58. Let a(u) = -u - 4*u - u - u. Calculate a(h(t)).", "a": "49*t**2" }, { "q": "Let f(q) = q. Let w(l) = -67*l - 11. Let d(j) = 23*j + 4. Let g(c) = 8*d(c) + 3*w(c). Calculate f(g(o)).", "a": "-17*o - 1" }, { "q": "Let d(f) = 18*f**2 - 2*f. Let v(m) = -88*m**2 + 11*m. Let q(r) = 11*d(r) + 2*v(r). Let x(w) = -15*w. Give q(x(a)).", "a": "4950*a**2" }, { "q": "Let o(q) = 7*q. Let r(g) = 57*g. Let y(k) = -k**3 - 8*k**2 + 6*k + 15. Let b be y(-8). Let i(c) = b*o(c) + 4*r(c). Let t(a) = -27*a**2. Determine t(i(v)).", "a": "-243*v**2" }, { "q": "Let y(a) = 9*a. Let z(f) = 4464*f - 132. Let g(b) = -279*b + 8. Let h(l) = -33*g(l) - 2*z(l). Give h(y(o)).", "a": "2511*o" }, { "q": "Let p(n) be the second derivative of n**3/2 - 21*n - 8. Let g(z) be the second derivative of 4*z**3/3 - 7*z. Calculate g(p(d)).", "a": "24*d" }, { "q": "Let m(t) = -20 + 20 + 1031*t - 1015*t. Let i(b) = -13*b**2. Give i(m(j)).", "a": "-3328*j**2" }, { "q": "Suppose 5*i - 3*i = 2*p + 76, 2*p = -4. Let b(m) = -40 - 58*m + i + 15*m. Let v(g) = 43*g + 5. Let d(x) = -5*b(x) - 4*v(x). Let t(z) = z. Calculate t(d(f)).", "a": "43*f" }, { "q": "Let i(q) = -20342*q. Let x(b) = -b + 3. Give x(i(l)).", "a": "20342*l + 3" }, { "q": "Let u(q) = 2*q. Let l(g) = 13416739*g. Calculate u(l(s)).", "a": "26833478*s" }, { "q": "Let g(a) = -3*a**2 - 32*a + 13. Let i be g(-11). Let r(p) = 2*p + 434*p**2 - 424*p**2 - i*p. Let q(h) = 11*h. Give r(q(k)).", "a": "1210*k**2" }, { "q": "Let o(v) = v. Let c(l) = -139*l**2 - 5*l. Suppose 0 = 5*q - 23 + 48. Let z(y) = -1320*y**2 - 48*y. Let t(n) = q*z(n) + 48*c(n). What is t(o(f))?", "a": "-72*f**2" }, { "q": "Let p(h) be the second derivative of 0*h**2 + 0 - 1/6*h**3 + 4*h. Let g(j) = 1173*j + 136. Let t(m) = -26*m - 3. Let n(o) = -3*g(o) - 136*t(o). What is n(p(b))?", "a": "-17*b" }, { "q": "Let k(g) be the second derivative of -g**3/3 - 2*g. Let m(b) = -322 - 23*b + 2*b**2 + 164 + 158. What is k(m(w))?", "a": "-4*w**2 + 46*w" }, { "q": "Let t(h) = 69*h**2. Let p(d) = -d**2 + 10*d - 5. Let z(a) = -9 + 8 + 4*a + 2*a - 4*a. Let i(m) = p(m) - 5*z(m). What is t(i(s))?", "a": "69*s**4" }, { "q": "Let m(g) = -10*g**2 + 1793. Let p(t) = 4*t**2 - 20. Calculate m(p(z)).", "a": "-160*z**4 + 1600*z**2 - 2207" }, { "q": "Let v(x) = -6*x. Let q(b) = -64*b**2 + 63*b - 4. What is v(q(r))?", "a": "384*r**2 - 378*r + 24" }, { "q": "Let w(y) = y**2. Let k(s) = 7*s + 135. Let f(b) = b + 1. Let l(o) = -5*f(o) + k(o). Let d(n) = -2*n - 129. Let m(p) = -6*d(p) - 5*l(p). Calculate m(w(c)).", "a": "2*c**2 + 124" }, { "q": "Let f(r) = -r**2. Let v(y) = -14208042*y. Determine f(v(w)).", "a": "-201868457473764*w**2" }, { "q": "Let q(u) = -2*u. Suppose 3*f = 4*t - 3 - 2, 4 = 3*t - 2*f. Let n(z) = 8*z**2 - 6*z**t - 25*z**2. Determine n(q(x)).", "a": "-92*x**2" }, { "q": "Let g(h) = 2*h. Let w(r) be the first derivative of -2*r**2 - 15*r + 10. Let c(u) = 2*u + 8. Let y(q) = -5*c(q) - 3*w(q). Determine y(g(s)).", "a": "4*s + 5" }, { "q": "Let n(d) = 15*d. Let t(s) = 2*s**2 + s - 125001. Give t(n(r)).", "a": "450*r**2 + 15*r - 125001" }, { "q": "Let h(i) be the second derivative of -7*i**4 + 7*i**2/2 + 32*i. Let x(m) = -42*m**2 + 3. Let s(a) = 6*h(a) - 14*x(a). Let z(d) = -2*d. Calculate s(z(q)).", "a": "336*q**2" }, { "q": "Suppose 245*z = -5*w + 247*z, 5*w + 3*z - 25 = 0. Let k(a) be the first derivative of 0*a**w - 9 + 0*a + 1/3*a**3. Let d(m) = m. What is k(d(r))?", "a": "r**2" }, { "q": "Suppose 0 = 110*r + 37*r. Let x(k) be the third derivative of -5/24*k**4 + 0*k**3 + 0*k - 13*k**2 + r. Let s(j) = 6*j. Determine x(s(m)).", "a": "-30*m" }, { "q": "Let n(k) be the third derivative of 433*k**5/10 + 2*k**2 - 34*k. Let s(l) = -l. Give s(n(m)).", "a": "-2598*m**2" }, { "q": "Let q(h) = 11*h - 12. Let b(c) = -8*c + 9. Let w(n) = 4*b(n) + 3*q(n). Let d(o) = 1616*o**2. Give d(w(z)).", "a": "1616*z**2" }, { "q": "Let a(g) = 36*g + 2. Let v(s) = -4*s - 3. Let w(n) = 5*n + 9. Let f(t) = -6*v(t) - 2*w(t). Determine a(f(j)).", "a": "504*j + 2" }, { "q": "Let u(x) = 2484*x - 4 - 2486*x + 4. Let r(s) = 902*s**2. Determine u(r(f)).", "a": "-1804*f**2" }, { "q": "Let n(q) = -77*q - 4. Let g(a) = -4824*a. Calculate n(g(p)).", "a": "371448*p - 4" }, { "q": "Let u(t) = t**2. Let b(z) = -86037*z + 56. Determine b(u(w)).", "a": "-86037*w**2 + 56" }, { "q": "Let i(t) = -4*t. Let y(x) = 472 - 9*x + 441 - 910. Determine y(i(h)).", "a": "36*h + 3" }, { "q": "Let d(l) = -132*l. Let o(a) be the second derivative of -a**3 - 5*a - 6. Determine o(d(p)).", "a": "792*p" }, { "q": "Let u(x) = 23*x**2 + 25*x - 23. Let c(r) = -3*r. What is u(c(i))?", "a": "207*i**2 - 75*i - 23" }, { "q": "Let c(k) = 2*k**2 - 6370*k - 4. Let n(t) = 9*t. Calculate c(n(p)).", "a": "162*p**2 - 57330*p - 4" }, { "q": "Let t = -158 - -155. Let w(y) = 2*y**2 - 3*y + 6. Let b(p) = -6*p**2 + 10*p - 20. Let i(f) = t*b(f) - 10*w(f). Let g(d) = -140*d**2. Give i(g(h)).", "a": "-39200*h**4" }, { "q": "Let r = -29 + -34. Let s(o) = -13 + 7 + 3*o + 1 + 7. Let f(k) = -30*k - 21. Let h(d) = r*s(d) - 6*f(d). Let n(c) = -c**2. Give n(h(b)).", "a": "-81*b**2" }, { "q": "Let s(l) = -4*l + 839 + 9*l - 2*l - 840. Let v(f) = -2*f**2. Calculate v(s(x)).", "a": "-18*x**2 + 12*x - 2" }, { "q": "Let n(p) be the first derivative of -p**2 + 40. Let d = 43 + -27. Let o(c) = d*c**2 - 9*c**2 + 15*c**2. Calculate n(o(m)).", "a": "-44*m**2" }, { "q": "Let v(b) = -b**2 + 0*b**2 - 3 - 9*b**2 + 3. Let o(y) = -14*y**2 + 5*y. Let f(x) = 7*x**2 - 3*x. Let c(a) = 10*f(a) + 6*o(a). What is c(v(i))?", "a": "-1400*i**4" }, { "q": "Let l(b) = -2*b - 24 - 14 - b + 38. Let q(y) be the first derivative of -y**2 - 3*y + 6. Let g(v) = 5*v + 8. Let c(d) = 3*g(d) + 8*q(d). Give l(c(w)).", "a": "3*w" }, { "q": "Let m(s) = 149*s. Let l(o) = -o**2 + 78*o. Give l(m(x)).", "a": "-22201*x**2 + 11622*x" }, { "q": "Let z(m) be the second derivative of -3*m**4/4 - m. Suppose x - 155 = -159. Let d(l) = 1. Let a(r) = 2*r + 4. Let o(q) = x*d(q) + a(q). Determine z(o(i)).", "a": "-36*i**2" }, { "q": "Let r(y) = -2*y. Let p(v) = 126*v - 3204*v + 1831*v. Give p(r(o)).", "a": "2494*o" }, { "q": "Let t(x) = x + 242 - x + 201 + 334 - x. Let u(f) = 2*f. Give u(t(l)).", "a": "-2*l + 1554" }, { "q": "Let k(o) = -2*o**2 + 40. Let s(f) = -46557*f. Give k(s(d)).", "a": "-4335108498*d**2 + 40" }, { "q": "Let u(h) = 140*h. Let r(l) = l**2 - 2*l - 1. Let a(i) = 3*i**2 - 18*i - 9. Let s(m) = -2*a(m) + 18*r(m). Calculate u(s(d)).", "a": "1680*d**2" }, { "q": "Let d(y) = 2*y. Let p(n) = n**2 + 8*n - 7. Let v be p(-9). Let h(b) = -31*b**2 - b + 30*b**v + 4*b + 3*b. Determine d(h(z)).", "a": "-2*z**2 + 12*z" }, { "q": "Let d(j) = -816*j + 2. Let h(c) = 935*c. Give h(d(s)).", "a": "-762960*s + 1870" }, { "q": "Suppose -2*r + 22 - 16 = -5*a, 5*r + 4*a = 48. Let m(t) be the second derivative of 0 + 0*t**2 - r*t - 1/3*t**3. Let d(j) = 26*j**2. What is d(m(n))?", "a": "104*n**2" }, { "q": "Let p(m) be the third derivative of m**4/8 + 3044*m**2. Let b(q) = 24*q + 3. Let y(n) = -23*n - 2. Let a(g) = -2*b(g) - 3*y(g). Give p(a(i)).", "a": "63*i" }, { "q": "Let n(z) = 25*z. Let y be (-4 + (-40)/35)/(16/(-56)). Let r be (17/2)/((-3)/(-12)). Let b(s) = -r*s + 18*s + y*s. Determine n(b(u)).", "a": "50*u" }, { "q": "Let p(j) = -2*j**2 - 3*j**2 + j**2. Suppose 21*b - 357 = 14*b. Let g(i) = -b*i + 50*i - 18 + 18. Give g(p(z)).", "a": "4*z**2" }, { "q": "Let c(g) = -6*g**2 + 14. Let o(a) = -a**2 + 3. Let k(h) = 6*c(h) - 28*o(h). Let v(j) = 144 - 317 + 173 - 5*j. Calculate k(v(b)).", "a": "-200*b**2" }, { "q": "Let c(r) = 239*r**2. Let t(i) = i**2 + 114*i. Calculate t(c(v)).", "a": "57121*v**4 + 27246*v**2" }, { "q": "Let r(m) = 2*m**2 + 47*m + 209. Let p be r(-18). Let j(y) be the second derivative of p*y + 0*y**2 + 0 - 2/3*y**3. Let w(n) = 6*n**2. Determine w(j(k)).", "a": "96*k**2" }, { "q": "Let u(t) = -46*t + 2. Let r(f) = -3845*f. What is u(r(y))?", "a": "176870*y + 2" }, { "q": "Let a(f) = -12*f**2. Let m(s) be the first derivative of 43 + 0*s + 0*s**2 + 7/3*s**3. Calculate m(a(w)).", "a": "1008*w**4" }, { "q": "Let z(p) = -6 - 3*p + 6. Let q(j) = 20*j - 196. Let h(w) = -7*w + 70. Let t(c) = 14*h(c) + 5*q(c). Give t(z(k)).", "a": "-6*k" }, { "q": "Let j(x) be the first derivative of -x**2/2 + 1486. Let g(z) = -260*z**2. Determine j(g(p)).", "a": "260*p**2" }, { "q": "Let m(k) = 55726*k. Let i(s) = -11*s**2 - 2*s. Determine m(i(a)).", "a": "-612986*a**2 - 111452*a" }, { "q": "Let r(d) be the third derivative of 0*d + 0*d**3 + 7/60*d**5 + d**2 + 0 + 0*d**4. Let a(f) = -11*f. Let n(t) = 8*t. Let s(o) = 5*a(o) + 7*n(o). What is s(r(q))?", "a": "7*q**2" }, { "q": "Let a(r) = 9*r**2. Let n be ((-2)/3)/((-1)/(2 - -1)). Let f(s) = -327*s**n + 161*s**2 + 162*s**2. What is f(a(m))?", "a": "-324*m**4" }, { "q": "Suppose -12*d = -23*d + 55. Let r(u) = -d*u**2 + 10 - 10 + 23*u**2. Let g(o) = -2*o. Give g(r(q)).", "a": "-36*q**2" }, { "q": "Let i(h) = -2*h. Let k(m) be the third derivative of -57*m**5/10 - 2*m**2 - 41. What is k(i(t))?", "a": "-1368*t**2" }, { "q": "Let q(r) = 2 - 147*r**2 - 2 + 310*r**2 - 151*r**2. Let c(v) = v**2 - 4. Calculate c(q(y)).", "a": "144*y**4 - 4" }, { "q": "Let w(z) = 8*z. Let v(y) = 2503661*y**2. Calculate w(v(u)).", "a": "20029288*u**2" }, { "q": "Let l(n) = -516*n**2. Let q(p) = -3*p - 1814. What is q(l(v))?", "a": "1548*v**2 - 1814" }, { "q": "Let z = -3/16 + 185/48. Let p(u) be the first derivative of z*u**3 + 0*u + 3 + 0*u**2. Let o(h) = 3*h**2. Give p(o(m)).", "a": "99*m**4" }, { "q": "Let y(a) = 2580*a. Let j(h) = -94*h**2 - 22*h - 11. Let k(f) = 34*f**2 + 8*f + 4. Let v(t) = -4*j(t) - 11*k(t). Calculate y(v(l)).", "a": "5160*l**2" }, { "q": "Let b(v) = 601*v + 3. Let u(s) = -5916*s - 2. Give b(u(o)).", "a": "-3555516*o - 1199" }, { "q": "Let j(p) = -69*p**2 - 1. Suppose 18 = f + 4. Let d(v) = f*v - 15*v - v. What is d(j(w))?", "a": "138*w**2 + 2" }, { "q": "Let k(z) = z**2. Let j(w) be the second derivative of -109*w**6/720 - 14*w**4/3 + 2*w - 52. Let u(o) be the third derivative of j(o). Give k(u(g)).", "a": "11881*g**2" }, { "q": "Let p(z) = 13929*z. Let g(d) = d + 8. What is g(p(v))?", "a": "13929*v + 8" }, { "q": "Let f = 14 + -10. Let n(g) = 2*g - 15*g + f*g - 19*g. Let r(h) = 33*h - 69*h + 34*h. What is n(r(a))?", "a": "56*a" }, { "q": "Let b(r) = -3*r**2. Let x(w) = -117*w - 16. Let q(p) = 119*p + 20. Let n(v) = -3*q(v) - 4*x(v). Give n(b(u)).", "a": "-333*u**2 + 4" }, { "q": "Let g(i) = 2*i. Let y(x) be the second derivative of 617*x**4/4 - x + 92. Calculate y(g(v)).", "a": "7404*v**2" }, { "q": "Let n(p) be the first derivative of 211*p**3/3 - 392. Let l(y) = 4*y**2. Give l(n(z)).", "a": "178084*z**4" }, { "q": "Let n(x) be the third derivative of -7/20*x**5 - 6*x + 0*x**3 + 0*x**4 + 0 - 2*x**2. Let s(k) = -k**2. Give s(n(j)).", "a": "-441*j**4" }, { "q": "Let o(q) = 342 - 2*q**2 + 297 - 639. Let m(y) be the second derivative of -13*y**4/3 + 2*y. Give o(m(h)).", "a": "-5408*h**4" }, { "q": "Let u(g) = 2*g**2 - 5613*g + 3. Let b(q) = -6*q**2. Give u(b(j)).", "a": "72*j**4 + 33678*j**2 + 3" }, { "q": "Let q(x) be the first derivative of -x**4/12 - 19*x**2 + 62. Let t(c) be the second derivative of q(c). Let u(z) = -39*z**2. Give u(t(k)).", "a": "-156*k**2" }, { "q": "Let c(o) = -5*o**2. Let m(g) = 10*g - 36. Let y(d) = 16*d - 33. Let z(i) = -3*m(i) + 2*y(i). Give z(c(h)).", "a": "-10*h**2 + 42" }, { "q": "Let q(m) = -2*m - 3*m + 2*m. Let h(j) = -45*j - 6. Let v(f) = 246*f + 29. Let y(b) = 11*h(b) + 2*v(b). Determine q(y(a)).", "a": "9*a + 24" }, { "q": "Suppose -1 = -5*a - j - 0, -17 = -a + 4*j. Let c(i) = 12*i**2 + 1 - 13*i**2 - a. Let b(n) = 131*n. Calculate c(b(p)).", "a": "-17161*p**2" }, { "q": "Let s(w) = -27*w**2. Let y(a) = -613167*a. Give s(y(g)).", "a": "-10151291787003*g**2" }, { "q": "Let v(c) = 2*c**2 - 126517*c - 2. Let x(n) = -2*n. Determine v(x(j)).", "a": "8*j**2 + 253034*j - 2" }, { "q": "Let x(m) be the third derivative of -m**5/5 + 86*m**2 - 10*m + 1. Suppose -2*v = -5 + 1. Let w(o) = -4*o**2 - o**2 + 2*o**v. Give w(x(j)).", "a": "-432*j**4" }, { "q": "Let n(z) = 5*z + 3 - 3. Let u(a) = -3*a. Let g(b) = 7*b. Suppose -2*r = -0*r + 2*i, 2*r + 3*i = 3. Let h(s) = r*g(s) - 8*u(s). Calculate n(h(t)).", "a": "15*t" }, { "q": "Let l(m) = 7*m. Let t(p) be the first derivative of -p**4/6 - 5*p + 2. Let k(o) be the first derivative of t(o). Determine l(k(b)).", "a": "-14*b**2" }, { "q": "Let g(r) = -5*r**2 + 64*r - 31*r + 6*r**2 - 33*r. Let q(f) = 2*f - 302. Calculate g(q(h)).", "a": "4*h**2 - 1208*h + 91204" }, { "q": "Suppose 0 = -3*a + 9*a - 4434. Let l(j) = -739 + a + j. Let k(f) = -31*f**2 - 33*f**2 + 27*f**2. Calculate l(k(d)).", "a": "-37*d**2" }, { "q": "Let c(h) = -14*h**2 - 22*h + 22. Let j(x) = -5*x**2 - 8*x + 8. Let i(z) = 8*c(z) - 22*j(z). Let y(p) = 5*p - 7. Determine y(i(g)).", "a": "-10*g**2 - 7" }, { "q": "Let w(y) = -8*y - 5. Let c(n) = -9*n - 6. Let d(b) = 5*c(b) - 6*w(b). Let h(t) = 376*t**2 - 381*t**2 + 13 - 13. Calculate h(d(u)).", "a": "-45*u**2" }, { "q": "Let p(u) = -3*u. Let i(n) = -57546*n. Let f(a) = 257*a. Let t(h) = 897*f(h) + 4*i(h). Calculate p(t(j)).", "a": "-1035*j" }, { "q": "Let r(i) = -i - 10 + 20 - 7 + 3*i - i. Let k(g) = 4*g**2 - 5*g. Let p(j) = -5*j**2 + 6*j. Let w(v) = -6*k(v) - 5*p(v). Determine w(r(a)).", "a": "a**2 + 6*a + 9" }, { "q": "Let s(o) = 2*o. Let b(v) be the second derivative of -41/6*v**3 - 3*v + 8 + 0*v**2. Calculate s(b(i)).", "a": "-82*i" }, { "q": "Suppose 3*k + 13 = 3*x - 17, 3*x + 3*k = 24. Let b(l) be the first derivative of x + 0*l**2 - 5/3*l**3 + 0*l. Let q(z) = -2*z**2. Calculate b(q(v)).", "a": "-20*v**4" }, { "q": "Let d(k) = -2*k**2. Let v(n) = 1349*n - 12. Let o(y) = -472152*y + 4202. Let h(l) = -6*o(l) - 2101*v(l). Give d(h(m)).", "a": "-3575138*m**2" }, { "q": "Let j(d) = 75*d**2 - 8*d + 0*d + 8*d. Let u(q) = -43*q**2 + 44*q**2 - 37 + 37. Determine u(j(i)).", "a": "5625*i**4" }, { "q": "Let n(y) = -y + 3*y**2 + y. Let u(x) be the first derivative of -x**2 + 1954. What is n(u(l))?", "a": "12*l**2" }, { "q": "Let f(c) be the second derivative of 2*c**3/3 - 2*c. Let l(t) = -4 + 4 + 0 - 59539*t**2 + 59534*t**2. Give l(f(x)).", "a": "-80*x**2" }, { "q": "Let o(d) = 14*d. Let n(r) be the third derivative of -r**7/2520 + r**4/8 - r**3 - r**2 - 15*r. Let u(s) be the second derivative of n(s). Give o(u(f)).", "a": "-14*f**2" }, { "q": "Let y(x) = 2*x**2. Let b(h) = -61387*h + 391. Let o(q) = 787*q - 5. Let a(v) = 5*b(v) + 391*o(v). Calculate y(a(d)).", "a": "1223048*d**2" }, { "q": "Let l(j) be the second derivative of 17/3*j**3 + 2*j + 15 - 1/2*j**2. Let d(p) = p. Calculate l(d(m)).", "a": "34*m - 1" }, { "q": "Let t(p) be the third derivative of 0*p**3 + 0 + 0*p**4 + 10*p + 2*p**2 - 1/30*p**5. Let q(x) = -2*x - 22. Calculate q(t(g)).", "a": "4*g**2 - 22" }, { "q": "Let g(y) be the first derivative of 5*y**3/3 - 2. Let s(i) = -4*i**2. Let k = 17 - 22. Let d(o) = -4*o**2. Let r(u) = k*d(u) + 4*s(u). Give g(r(q)).", "a": "80*q**4" }, { "q": "Let g(j) = 13420*j**2. Let y(f) = -178*f. Determine y(g(p)).", "a": "-2388760*p**2" }, { "q": "Let m(l) = 5*l + 3. Suppose -j = -5, -i - 11 = -3*j + 1. Let o(k) = -8*k - 5. Let u(r) = i*o(r) + 5*m(r). Let p(y) = 15*y**2 - 14*y**2 - 28*y**2. Give u(p(a)).", "a": "-27*a**2" }, { "q": "Let w(r) = -r. Let k(y) be the third derivative of -421*y**4/8 + 1525*y**2. Determine k(w(u)).", "a": "1263*u" }, { "q": "Let j(z) = -15309202*z. Let n(y) = y. Calculate n(j(h)).", "a": "-15309202*h" }, { "q": "Let o(s) = -35*s + 5. Let t(m) = -158*m + 17. Determine o(t(v)).", "a": "5530*v - 590" }, { "q": "Let d(y) = 112*y**2 - 115*y**2 + y - y. Let u(w) = -6*w - 11. Let l(f) = -f - 2. Let a = -25 + 31. Let k(q) = a*u(q) - 33*l(q). Calculate k(d(r)).", "a": "9*r**2" }, { "q": "Let n(v) = -9*v. Let s(c) = -68*c**2 + 11*c**2 + 30*c**2 + 20*c**2. Calculate s(n(d)).", "a": "-567*d**2" }, { "q": "Let b(n) = 1736*n + 99427 - 99427. Let d(p) = -2*p**2. Determine b(d(x)).", "a": "-3472*x**2" }, { "q": "Let k(v) = -1932*v**2. Let q(y) = 1817*y**2. Give k(q(z)).", "a": "-6378476748*z**4" }, { "q": "Let k(f) = 9*f**2. Let s(d) = -7*d - 52. Let l be s(-8). Let w(z) = l*z - 18*z - 5 + 5. Give w(k(y)).", "a": "-126*y**2" }, { "q": "Let i(m) = -2072*m**2. Let b(f) = -5153*f. What is i(b(y))?", "a": "-55018663448*y**2" }, { "q": "Let k(a) = a + 1. Let n(q) = 2*q**2 + 10*q + 10. Let i(l) = 10*k(l) - n(l). Let y(f) = -6*f - 12. Let j(x) = 2*x + 3. Let c(s) = -4*j(s) - y(s). Give c(i(m)).", "a": "4*m**2" }, { "q": "Let i(n) = -2*n**2 - 15*n + 5. Let s(v) = -v**2 - 6*v + 2. Let g(w) = 2*i(w) - 5*s(w). Let t(z) = 1340*z**2. Determine t(g(u)).", "a": "1340*u**4" }, { "q": "Let p(w) = 3*w. Suppose 3*g - 8*z = -7*z + 14, -4*z = -g + 12. Let t(k) = -7*k - 4. Let l(r) = 6*r + 3. Let v(f) = g*l(f) + 3*t(f). Determine p(v(h)).", "a": "9*h" }, { "q": "Let u(l) be the second derivative of 0 + 11/3*l**3 + 0*l**2 + 4*l. Let o(b) = -44*b + 4*b**2 + 44*b - 5*b**2. Determine u(o(v)).", "a": "-22*v**2" }, { "q": "Suppose 0 = 4*z - 3*p - 2 - 9, 5*p = 3*z. Let w(y) = -2*y - z*y - 3*y + 7*y. Let a(k) = -5*k. What is a(w(s))?", "a": "15*s" }, { "q": "Let u(h) = -6*h. Let t(f) = -4*f - 22. Let m be t(-6). Let q(v) = 20*v**2 + 25*v**2 - 49*v**m. Determine q(u(w)).", "a": "-144*w**2" }, { "q": "Let b(k) = -14977*k**2. Let c(a) = 182*a. Calculate b(c(d)).", "a": "-496098148*d**2" }, { "q": "Let p(k) = 29*k + 32*k - 60*k. Let a(f) = -f**2 + 4*f + 7. Let x be a(5). Let z(s) = -3*s**2 - 5*s**x + 4*s**2 - s**2. What is p(z(c))?", "a": "-5*c**2" }, { "q": "Let r(b) = 19*b + 1. Suppose 0 = -16*v + 28*v - 24. Let p(h) = -33*h**2 + 64*h**2 - 32*h**v. What is p(r(g))?", "a": "-361*g**2 - 38*g - 1" }, { "q": "Let i(y) = 2*y**2. Let w(b) = -11880668*b. What is w(i(m))?", "a": "-23761336*m**2" }, { "q": "Let m(s) = 8*s**2. Let h(c) = -c**3 - 18*c**2 + 18*c - 17. Let y be h(-19). Let p(q) = 8*q**2 + 8*q**y - 6*q**2. Give m(p(g)).", "a": "800*g**4" }, { "q": "Let s(d) be the second derivative of 5*d**3/3 - 585*d. Let v(x) = 7*x + 12. Give v(s(w)).", "a": "70*w + 12" }, { "q": "Let j(p) = -5*p - 2878. Let l(s) = 9*s**2 + 4*s. Determine j(l(f)).", "a": "-45*f**2 - 20*f - 2878" }, { "q": "Let l(f) = 14*f**2. Let r(i) be the third derivative of i**4/24 + i**2 + 73. Determine r(l(d)).", "a": "14*d**2" }, { "q": "Let z(k) = -k + 110 - 48 - 23 - 39. Let f(y) = 171*y**2. Calculate f(z(l)).", "a": "171*l**2" }, { "q": "Let z(t) = -34*t. Let p(r) be the second derivative of 23*r**3/6 - 77*r + 2. Calculate z(p(m)).", "a": "-782*m" }, { "q": "Let m(b) be the third derivative of 0*b**4 - 5*b**2 - 8 + 0*b**3 + 1/20*b**5 + 0*b. Let z(c) = 6*c**2. What is m(z(h))?", "a": "108*h**4" }, { "q": "Let c(x) = -2*x. Let d(t) = 73064*t - 116. What is c(d(q))?", "a": "-146128*q + 232" }, { "q": "Let p(h) be the third derivative of h**5/60 + 166*h**2 - 5*h. Let z(y) = 14*y**2 + y - y. What is z(p(a))?", "a": "14*a**4" }, { "q": "Let q(h) = h**2. Let f(l) = l**2 + 1030470*l. Determine f(q(c)).", "a": "c**4 + 1030470*c**2" }, { "q": "Let h(p) be the third derivative of -p**4/24 + 62*p**2. Let z(f) = 23*f + 162*f - 35*f. Determine z(h(x)).", "a": "-150*x" }, { "q": "Let v(q) = -11*q - 20. Let w be v(-2). Let x(f) = -63*f**2 + 65*f**2 - 2 + w. Let a(r) = -27*r. Calculate a(x(h)).", "a": "-54*h**2" }, { "q": "Let u(b) = -8*b. Let r(j) = 10536*j**2 + 9*j. What is u(r(k))?", "a": "-84288*k**2 - 72*k" }, { "q": "Let y(u) = -43*u - 1. Let m(a) = -10*a - 130. Let z(d) = -10*d - 104. Let w(l) = -4*m(l) + 5*z(l). Determine y(w(x)).", "a": "430*x - 1" }, { "q": "Let i(n) be the second derivative of 7*n**4/3 - 231*n. Let w(p) = -9*p. Give i(w(a)).", "a": "2268*a**2" }, { "q": "Let d(o) = 11*o**2. Suppose 0 = 5*u - 68 - 137. Let j(y) be the first derivative of 2*y**2 - 3*y**2 + 30 - u. What is j(d(i))?", "a": "-22*i**2" }, { "q": "Let x(t) = -2*t**2. Let g(m) = -8069*m - 28. Determine g(x(v)).", "a": "16138*v**2 - 28" }, { "q": "Let m(g) = -29*g - 36. Let f(j) = 970*j. What is f(m(o))?", "a": "-28130*o - 34920" }, { "q": "Let x(w) = 12*w**2. Let c(a) be the third derivative of a**6/60 - 16*a**3/3 - 4*a**2 + 9*a. Let h(n) be the first derivative of c(n). Determine x(h(o)).", "a": "432*o**4" }, { "q": "Let a(d) be the third derivative of d**6/240 + d**4/24 + 2*d**3 - 10*d**2. Let w(s) be the second derivative of a(s). Let q(x) = 4*x. What is w(q(m))?", "a": "12*m" }, { "q": "Let t(s) = -5*s**2 + 670. Let n(k) = 6*k**2. Determine t(n(u)).", "a": "-180*u**4 + 670" }, { "q": "Let j(h) = 0*h**2 - 2*h**2 + 4*h**2. Let q(v) = 28*v. Let b(x) be the third derivative of -7*x**4/24 - 55*x**2. Let k(r) = 9*b(r) + 2*q(r). Calculate j(k(u)).", "a": "98*u**2" }, { "q": "Let w(z) = 23*z. Let q(f) = -5*f + 37. Let v(l) = -37*l + 260. Let k(c) = 15*q(c) - 2*v(c). What is k(w(u))?", "a": "-23*u + 35" }, { "q": "Let b be (-2)/4*(-1 - 3). Let g(y) = 5*y**b - 4*y**2 - 2*y**2. Let j(p) be the second derivative of -9*p**3/2 - 368*p + 1. Calculate g(j(i)).", "a": "-729*i**2" }, { "q": "Let o(p) = 9*p. Let m = 8 - 7. Let t be -5 + m - -32 - -4. Let n(f) = -3*f + 25 - 57 + t. Calculate o(n(s)).", "a": "-27*s" }, { "q": "Let i(v) = -24*v + 1. Let z be (-550)/(-33)*(5 - -1). Let n(h) = -z + 100 - h**2. Give i(n(p)).", "a": "24*p**2 + 1" }, { "q": "Let i(j) = 167*j - 83*j - 83*j. Suppose 2*t + 6 = 5*t. Let g(y) = -12 + t*y + 0*y + 12. Calculate i(g(o)).", "a": "2*o" }, { "q": "Let w(y) = y + 684929. Let p(a) = 3*a**2. Determine w(p(x)).", "a": "3*x**2 + 684929" }, { "q": "Let c(u) = -11653*u. Let b(f) = -4*f**2 + 13. Calculate c(b(i)).", "a": "46612*i**2 - 151489" }, { "q": "Let h(x) = 2070*x. Let b(o) be the second derivative of o**4/12 - 8*o - 14. Give h(b(a)).", "a": "2070*a**2" }, { "q": "Let u(c) be the second derivative of -c**4/6 + c**2 - 1585*c. Let l(r) = 9*r**2. Give l(u(n)).", "a": "36*n**4 - 72*n**2 + 36" }, { "q": "Let q(m) = 19*m + 2. Let s(t) = 3613976 - 3613976 - 30*t. Give q(s(b)).", "a": "-570*b + 2" }, { "q": "Let u(p) = -7*p**2 + 413 - 6*p**2 - 413. Let n(z) = 103*z. Give n(u(j)).", "a": "-1339*j**2" }, { "q": "Let m(n) = -5*n - 6. Let l(a) = -11*a - 13. Let j(o) = 6*l(o) - 13*m(o). Let d = -19 + 21. Let g(s) = -4*s**2 - 2*s**d + 0*s**2 - 3*s**2. What is g(j(w))?", "a": "-9*w**2" }, { "q": "Let y(q) = 83*q + 825*q + q**2 + 487*q - 257*q. Let t(k) = -2*k**2. Give y(t(f)).", "a": "4*f**4 - 2276*f**2" }, { "q": "Let s(v) = 2*v. Let p(n) = 7409994*n. What is s(p(f))?", "a": "14819988*f" }, { "q": "Let d(v) be the first derivative of -v**4/8 + v**2/2 - 5*v + 11. Let u(g) be the second derivative of d(g). Let m(y) = 11*y. Give u(m(q)).", "a": "-33*q" }, { "q": "Let k = -29 - -33. Suppose -r = 5*a - 489, -3*a - 2*a + 486 = k*r. Let z(s) = a + 10*s - 98. Let j(b) = 4*b**2. Calculate j(z(n)).", "a": "400*n**2" }, { "q": "Suppose -5*i - 13 + 23 = 0, -r = 2*i - 8. Let f(g) be the second derivative of 0*g**2 + 1/3*g**r + 0*g**3 + 3*g + 0. Let k(h) = 3*h. Determine f(k(u)).", "a": "36*u**2" }, { "q": "Let w(f) = -2*f. Let d(o) = 2*o**2 + o - 1. Suppose -8*y + 4*y + 8 = 0. Let n(s) = 5 - 6 - 19*s + s**y + 20*s. Let j(u) = -5*d(u) + 5*n(u). What is w(j(i))?", "a": "10*i**2" }, { "q": "Let y(o) = 8*o + 9*o - 4*o - 14*o. Let u(d) = 8*d - 3. Let h = 4 + -10. Let g(k) = 8*k - 2. Let v(c) = h*g(c) + 4*u(c). Determine y(v(s)).", "a": "16*s" }, { "q": "Let x(h) = -2*h**2. Let o(q) be the third derivative of q**5/120 - 5*q**4/12 + 31*q**3/6 + 49*q**2. Let p(f) be the first derivative of o(f). Determine x(p(l)).", "a": "-2*l**2 + 40*l - 200" }, { "q": "Let v(h) = 17*h**2. Let q(b) be the third derivative of 49*b**5/60 - 292*b**2. Calculate v(q(m)).", "a": "40817*m**4" }, { "q": "Let c(y) = 3*y. Let l(w) be the third derivative of -w**4/12 - 4*w**3 - 60*w**2. What is l(c(b))?", "a": "-6*b - 24" }, { "q": "Let w(r) = -25*r. Let k(h) = -3*h**2 - h - 15606. Give k(w(z)).", "a": "-1875*z**2 + 25*z - 15606" }, { "q": "Let y(c) = 10*c + 12. Let z be y(-1). Let j(i) = 11*i**z - 2 - 1 + 3. Let h(d) = -6*d. Calculate h(j(q)).", "a": "-66*q**2" }, { "q": "Let t(l) = -187037*l. Let s(k) = 2*k - 36. Give t(s(f)).", "a": "-374074*f + 6733332" }, { "q": "Let m(f) = 4*f**2. Let l(t) = -299*t + 25*t - 6 + 3 + 3. Calculate m(l(k)).", "a": "300304*k**2" }, { "q": "Let k(j) be the third derivative of 2*j**4/3 + 6727*j**2. Let x(p) = 0*p**2 + 0*p**2 + 2*p**2. Calculate k(x(m)).", "a": "32*m**2" }, { "q": "Let b(k) be the third derivative of -k**7/5040 - k**5/20 - 19*k**4/24 - 2*k**2 + k. Let a(f) be the third derivative of b(f). Let c(d) = -32*d**2. Give c(a(u)).", "a": "-32*u**2" }, { "q": "Let a(q) = -4*q**2. Let i = 94 - 88. Let w(j) = -i*j + 10*j + 0*j. Calculate a(w(x)).", "a": "-64*x**2" }, { "q": "Let a(i) = -690*i. Let d(s) = -7*s - 130. Let w(o) = 3*o + 52. Let p(g) = -2*d(g) - 5*w(g). Determine p(a(h)).", "a": "690*h" }, { "q": "Let y(p) = -2*p**2. Let k(l) = 909*l - 14. Let r(q) = -912*q + 17. Let g(z) = -6*k(z) - 5*r(z). Give g(y(i)).", "a": "1788*i**2 - 1" }, { "q": "Let s(x) = -78*x - 74*x + 153*x. Let b(y) = 16*y. Let u(o) = -53 + 53 - 5*o. Let d(h) = 6*b(h) + 20*u(h). Give d(s(l)).", "a": "-4*l" }, { "q": "Let g(o) = 18*o. Let v(a) = -a. Let t(p) = 5*g(p) + 80*v(p). Suppose -2*b + 4*n = 3*b - 190, -2*n + 220 = 5*b. Let d(q) = b*q + 36*q - 79*q. Determine d(t(x)).", "a": "-10*x" }, { "q": "Let q(h) be the first derivative of -h**5/120 - 28*h**3/3 - h**2/2 - 40. Let p(j) be the third derivative of q(j). Let g(z) = 4*z**2 - z. What is g(p(a))?", "a": "4*a**2 + a" }, { "q": "Let j(t) = 5*t - 9. Let m(k) be the third derivative of -k**6/360 - 16*k**3/3 + 2*k**2 + 15. Let y(u) be the first derivative of m(u). Give y(j(p)).", "a": "-25*p**2 + 90*p - 81" }, { "q": "Let p(w) = -w**2. Let q(z) be the second derivative of 3*z**3 - 9*z**2 + 737*z. Give q(p(s)).", "a": "-18*s**2 - 18" }, { "q": "Let h(r) = -129*r**2. Let a(z) be the first derivative of -9*z**2/2 + 315. Calculate a(h(d)).", "a": "1161*d**2" }, { "q": "Let f(a) = -7*a. Let n(w) = -43*w - 50*w + 94*w. Let o(c) = f(c) + 4*n(c). Let t(m) = -m + 8*m - 8*m. Determine o(t(i)).", "a": "3*i" }, { "q": "Let z(q) = 9*q**2 + 2*q - 3. Let v(o) = 5*o**2 + 2*o - 2. Let a(w) = -3*v(w) + 2*z(w). Let g(j) = 8*j**2. Give a(g(y)).", "a": "192*y**4 - 16*y**2" }, { "q": "Let x(q) = 218*q. Let m(p) = -40760*p. Calculate m(x(z)).", "a": "-8885680*z" }, { "q": "Let d(l) = 237*l. Let t(x) = -5*x**2 + 33*x - 15. Give t(d(a)).", "a": "-280845*a**2 + 7821*a - 15" }, { "q": "Let h(u) be the second derivative of -37*u**5/60 + 23*u**2 - 10*u. Let m(f) be the first derivative of h(f). Let j(r) = r. What is m(j(g))?", "a": "-37*g**2" }, { "q": "Let f(l) = -l + 23350. Let m(z) = -3*z. What is m(f(i))?", "a": "3*i - 70050" }, { "q": "Let b(d) = 10*d**2. Let c(u) be the first derivative of 49*u**3 + 1258. Calculate c(b(f)).", "a": "14700*f**4" }, { "q": "Let z(s) = -82*s**2 + 472. Let l(t) = 5*t**2. What is z(l(p))?", "a": "-2050*p**4 + 472" }, { "q": "Let z(a) be the third derivative of 7*a**2 + 0*a**3 + 0*a + 0*a**4 + 2 - 1/20*a**5. Let k(m) be the first derivative of -3*m**2/2 - 2. Calculate k(z(n)).", "a": "9*n**2" }, { "q": "Let h(o) = -10*o**2 + o**2 + o**2 + 10*o**2. Let p(g) = -148 - 31*g + 148. What is p(h(i))?", "a": "-62*i**2" }, { "q": "Let i(p) = -4046*p. Let l(v) = -350*v**2 - 2. Determine i(l(x)).", "a": "1416100*x**2 + 8092" }, { "q": "Let y(i) = 20313*i**2 - 10159*i**2 - 10157*i**2. Let p(u) = 170*u. Determine p(y(q)).", "a": "-510*q**2" }, { "q": "Let g(u) = -12*u**2 + 3*u. Let o(c) = 25*c**2 - 7*c. Suppose -10 = -8*y + 46. Let p(j) = y*g(j) + 3*o(j). Let m(k) = 2*k**2. Determine m(p(h)).", "a": "162*h**4" }, { "q": "Let j(s) = -342*s + 4. Let v(u) = -164*u**2. Calculate j(v(q)).", "a": "56088*q**2 + 4" }, { "q": "Let t(b) = -580 - 92*b**2 - 31*b**2 + 1176 - 596. Let j(z) = 2*z**2. Give j(t(s)).", "a": "30258*s**4" }, { "q": "Let h(a) = -20 - 11*a**2 + 24 + 9*a**2 + 4*a. Let d(p) = 2*p**2 - 3*p - 3. Let k(i) = -4*d(i) - 3*h(i). Let v(m) = 25*m - 2*m - 2*m. Give k(v(y)).", "a": "-882*y**2" }, { "q": "Let t(z) = 36*z + 44*z - 80*z + 307*z**2. Let l(b) = b. Calculate l(t(q)).", "a": "307*q**2" }, { "q": "Let h(n) = -26*n**2. Let v(t) = -14561*t - 1. Give v(h(z)).", "a": "378586*z**2 - 1" }, { "q": "Let n(c) be the third derivative of -c**4/6 - 230*c**2. Let r(m) be the second derivative of 5/6*m**3 + 0 + 0*m**2 - m. Determine n(r(g)).", "a": "-20*g" }, { "q": "Let u(j) = 90*j + 20. Let w(y) = 14*y + 3. Let t(x) = 3*u(x) - 20*w(x). Let b(q) = 56*q**2. Determine b(t(o)).", "a": "5600*o**2" }, { "q": "Let y(m) be the first derivative of m**2 - 1070. Let x(n) be the second derivative of 0*n**2 + 0 - 3*n + 7/6*n**3. What is x(y(t))?", "a": "14*t" }, { "q": "Let g(k) = 1197387*k. Let d(h) = 2*h**2. Determine g(d(o)).", "a": "2394774*o**2" }, { "q": "Let m(j) = -880*j**2 + 231*j. Let v(s) = 23*s**2 - 6*s. Let r(u) = 4*m(u) + 154*v(u). Let q(o) = -39*o**2. What is q(r(y))?", "a": "-18876*y**4" }, { "q": "Let u(v) = -36*v + 3. Let w(x) = 16*x + 623. Give u(w(m)).", "a": "-576*m - 22425" }, { "q": "Let b(w) = 8*w**2. Let h(y) = 5*y + 4. Let c(j) = -1. Let n(l) = -15*l - 7. Let r(k) = -4*c(k) - n(k). Let i(o) = 11*h(o) - 4*r(o). What is b(i(t))?", "a": "200*t**2" }, { "q": "Let a(w) be the first derivative of -w**5/60 + 5*w**3/6 + 6*w**2 - 2*w + 28. Let n(q) be the second derivative of a(q). Let i(p) = -p. Calculate i(n(x)).", "a": "x**2 - 5" }, { "q": "Let k(h) = 41*h. Let g(c) = -4*c**2 - 17*c**2 + 48*c - 89*c + 41*c. Calculate k(g(v)).", "a": "-861*v**2" }, { "q": "Let q(c) = -16*c**3 - 2*c**2 - 2 - 8*c**2 + 5*c**2 - c + 6*c**2. Let r be q(-1). Let l(n) = 13*n - 1 - r*n + 1. Let d(g) = 2*g. What is d(l(t))?", "a": "-6*t" }, { "q": "Let g(u) = 180*u**2 + 2*u - 25. Let z(j) = -3*j**2 + 15. Determine g(z(k)).", "a": "1620*k**4 - 16206*k**2 + 40505" }, { "q": "Let u(q) = -q**2. Let o(y) = 38*y + 8. Let s be o(-8). Let k be (s/10)/(2/(-5)). Let d(m) = -39 + k - 35 + 2*m. Give d(u(h)).", "a": "-2*h**2" }, { "q": "Suppose -6*k + 4 + 8 = 0. Let h(n) = -14351*n**k + 1 - 1 + 14267*n**2. Let v(z) = z**2. Determine h(v(o)).", "a": "-84*o**4" }, { "q": "Suppose 0 = -19*q + 16*q + 6. Let r(x) be the third derivative of 1/12*x**4 + 0*x**3 + 0*x - 7*x**q + 0. Let b(a) = 16*a. What is b(r(l))?", "a": "32*l" }, { "q": "Let h(f) = -1164*f**2. Let q(k) = -1186*k**2. Calculate h(q(x)).", "a": "-1637277744*x**4" }, { "q": "Let a(s) = -24 + 47 + 175*s**2 - 23 - 170*s**2. Let t(h) be the second derivative of -h**3/3 + h. Calculate t(a(l)).", "a": "-10*l**2" }, { "q": "Let u(h) = -5*h**2. Let i(d) = 235 + 221 - 456 + 135*d. What is i(u(t))?", "a": "-675*t**2" }, { "q": "Let u(h) = -2*h. Let n(k) = -k**3 + 5*k**2 - k + 15. Let w be n(6). Let i = w - -31. Let v(p) = -13*p - p - i*p. What is u(v(m))?", "a": "36*m" }, { "q": "Let a(l) = -l**2 - 9. Let o(i) = -2*i**2 - 9. Let d(w) = 2*a(w) - 2*o(w). Let z(u) = -2*u + 34. What is d(z(g))?", "a": "8*g**2 - 272*g + 2312" }, { "q": "Let n(m) = -12*m + 1. Let t(d) = -78576*d + 78576*d + 11*d**2. Calculate t(n(b)).", "a": "1584*b**2 - 264*b + 11" }, { "q": "Let z(t) = -89*t**2. Let m(h) = 164*h - 18. Let a(j) = -9*j + 1. Let y(w) = 36*a(w) + 2*m(w). Determine z(y(r)).", "a": "-1424*r**2" }, { "q": "Let j(w) = -8*w**2 - 19*w. Let v(i) = -87*i - 93*i + 271*i - 93*i. What is v(j(y))?", "a": "16*y**2 + 38*y" }, { "q": "Suppose -4*k + 76 = -392. Suppose 8*m - 5*m = k. Let v(y) = -y. Let o(d) = -6*d. Let b(r) = m*v(r) - 6*o(r). Let p(n) = -n. Calculate p(b(g)).", "a": "3*g" }, { "q": "Let q be (-2 - -1)*2/(-2). Suppose 9 = 5*m - q. Let d(s) = -7*s**2 - s**2 + 6*s**m + 0*s**2. Let y(z) = 6*z**2. Calculate y(d(a)).", "a": "24*a**4" }, { "q": "Let f(z) be the third derivative of z**5/30 + 2*z**2. Let k(s) = 5*s + 66 - 106 + 40. What is k(f(p))?", "a": "10*p**2" }, { "q": "Let r(o) = 7*o**2. Let l be 148/24*8*24/16. Let h(i) = -5*i + 73 + l - 147. Determine h(r(v)).", "a": "-35*v**2" }, { "q": "Let r(a) = 2*a**2 + 32. Let b(g) be the third derivative of g**6/180 + 10*g**3/3 - 51*g**2 + 2. Let s(d) be the first derivative of b(d). What is s(r(v))?", "a": "8*v**4 + 256*v**2 + 2048" }, { "q": "Let m(b) = -810*b + 6. Let w(o) = -390*o. Give w(m(k)).", "a": "315900*k - 2340" }, { "q": "Let p(z) = -668*z**2 + 327*z**2 + 311*z**2. Let m(x) = 50*x**2. Determine m(p(h)).", "a": "45000*h**4" }, { "q": "Let s(x) = 18*x. Suppose -172 = -37*w - 62*w + 26. Let n(y) be the first derivative of -1/2*y**w - 7 + 0*y. What is s(n(a))?", "a": "-18*a" }, { "q": "Let u(b) = -19*b**2. Let x(v) = 643322*v. Calculate x(u(j)).", "a": "-12223118*j**2" }, { "q": "Suppose -3*f = f + 24. Let v be 6/(-4)*(-1)/f*8. Let w(k) = k + 2. Let u(s) = -s - 1. Let j(o) = v*u(o) - w(o). Let r(n) = -6*n**2. Calculate j(r(p)).", "a": "-6*p**2" }, { "q": "Let i(m) = -5*m - 22. Let g(u) = 53*u - 3. Give g(i(n)).", "a": "-265*n - 1169" }, { "q": "Let l(u) = -25*u - 17*u + 149*u - 109*u. Let t = 1 + 1. Let r(z) = 0*z + 0*z + 12*z**t. Calculate l(r(f)).", "a": "-24*f**2" }, { "q": "Let d(o) be the first derivative of o**3/3 + 3. Let i be -3*(-3)/((-9)/(-7)). Let b(j) = -93 + 93 + i*j. Give d(b(c)).", "a": "49*c**2" }, { "q": "Let i be (-3 - -11)/(-4) - -4. Let y(p) = -2 - 3 - i*p + 2. Let r(w) = -2*w - 4. Let a(o) = 3*r(o) - 4*y(o). Let c(f) = -2*f. Give a(c(u)).", "a": "-4*u" }, { "q": "Let p(u) = -2*u. Let d(n) = 2*n**2 + 7*n + 878. What is p(d(v))?", "a": "-4*v**2 - 14*v - 1756" }, { "q": "Let n = -2572 - -2572. Let g(h) be the third derivative of 0 + 0*h**3 + n*h + 1/24*h**4 - 2*h**2. Let j(r) = 7*r. Determine j(g(l)).", "a": "7*l" }, { "q": "Let k(w) = -39*w**2. Let f(z) = 3332*z**2 + 3338*z**2 - 6668*z**2 - 11. Calculate k(f(j)).", "a": "-156*j**4 + 1716*j**2 - 4719" }, { "q": "Let n(o) = 2*o. Let x(t) = 26*t**2 + 6. Let r(v) be the third derivative of 5*v**5/12 + 5*v**3/6 + 60*v**2. Let q(w) = 6*r(w) - 5*x(w). Give q(n(m)).", "a": "80*m**2" }, { "q": "Let m(f) = -345*f. Let b(r) be the second derivative of r**3 + 29*r + 5. What is b(m(k))?", "a": "-2070*k" }, { "q": "Let f(j) = 10*j - 18. Let p(u) = -u + 6. Let c(m) = -f(m) - 3*p(m). Let b(v) = 205*v**2. Calculate b(c(z)).", "a": "10045*z**2" }, { "q": "Let b(t) = 2927184*t. Let x(d) = 8*d**2. Calculate b(x(r)).", "a": "23417472*r**2" }, { "q": "Suppose 79*x - 76*x - 55974 = 0. Let u(p) = 8*p**2 - 18658*p + x*p. Let i(w) = 2*w**2. Calculate i(u(y)).", "a": "128*y**4" }, { "q": "Let y(n) = -15*n**2. Let j(k) be the first derivative of -15*k**3 + 1181. Give j(y(g)).", "a": "-10125*g**4" }, { "q": "Let c(s) = 12*s. Let g(k) be the second derivative of -k**4/4 - k**2/2 + 2*k - 1248. Calculate c(g(p)).", "a": "-36*p**2 - 12" }, { "q": "Let r(j) = 16*j. Let v(u) = u. Let x(o) = r(o) + 3*v(o). Let k(w) = 12*w. Calculate x(k(i)).", "a": "228*i" }, { "q": "Let l(n) = -n**2. Let c(g) be the first derivative of -113*g**2/2 - g + 1323. Determine c(l(s)).", "a": "113*s**2 - 1" }, { "q": "Let s(f) = 226*f + 160. Let k(a) = -2*a + 2. Calculate k(s(j)).", "a": "-452*j - 318" }, { "q": "Let o(h) = 5*h**2. Let g(i) be the third derivative of -i**5/60 + 2*i**3 - 62*i**2. What is g(o(v))?", "a": "-25*v**4 + 12" }, { "q": "Let n(p) = -27*p - 1. Let w(f) = -80*f - 3. Let r(c) = 6*n(c) - 2*w(c). Let g(o) = 896*o. Give g(r(x)).", "a": "-1792*x" }, { "q": "Let p(a) be the second derivative of -a**5/60 - 34*a**2 - 12*a. Let i(q) be the first derivative of p(q). Let b(m) = 62*m. Give b(i(f)).", "a": "-62*f**2" }, { "q": "Let u(b) be the second derivative of 4*b**3/3 + b**2/2 - 4*b + 3. Let k(q) = -14*q - 1. Let f(v) = -3*k(v) - 5*u(v). Let m(c) = -c**2. Calculate m(f(h)).", "a": "-4*h**2 + 8*h - 4" }, { "q": "Let t be (-112)/(-3)*(-48)/(-32) - 2. Let b(c) = -65*c**2 - t*c**2 + 115*c**2. Let v(x) = 8*x. What is v(b(n))?", "a": "-32*n**2" }, { "q": "Let r(m) = -26*m**2. Let z(j) = -8*j - 24*j - 14*j. What is z(r(b))?", "a": "1196*b**2" }, { "q": "Let i be 6 + (0 - -3 - -25). Let z(o) = 32*o + i*o - 66*o - 5*o**2. Let b(u) = 3*u. What is b(z(f))?", "a": "-15*f**2" }, { "q": "Let j(l) be the second derivative of -l**3/6 + 3*l + 3. Suppose 0*c - 6 = -c. Let a(h) = c*h + 3*h - 11*h - 6*h. Determine a(j(q)).", "a": "8*q" }, { "q": "Let g(c) = -10*c**2 + 2. Let w(q) = -2*q**2 + 2552. Give w(g(y)).", "a": "-200*y**4 + 80*y**2 + 2544" }, { "q": "Let o(m) = m**2 + 6. Let f(h) = -11*h - 25. Let u(v) = -28*v - 60. Let s(x) = -12*f(x) + 5*u(x). Determine o(s(c)).", "a": "64*c**2 + 6" }, { "q": "Let m(n) = n + 14. Suppose -2*b + 4*b = 3*r + 40, -4*r + 40 = 4*b. Let z(t) = 9*t**2 - 7. Let d(a) = 4*a**2 - 3. Let h(v) = b*d(v) - 6*z(v). What is h(m(s))?", "a": "2*s**2 + 56*s + 392" }, { "q": "Let u(d) = -d + 773. Let c(i) = 3624*i. Give u(c(l)).", "a": "-3624*l + 773" }, { "q": "Let r(w) = -100*w + 6. Let x(m) = -34*m + 2. Let z(n) = -5*r(n) + 14*x(n). Let t(b) = -121*b + 11. Let h(o) = 2*t(o) + 11*z(o). Let d(g) = -5*g. Give h(d(y)).", "a": "-110*y" }, { "q": "Let i(m) = 2*m**2. Suppose 2*c - 6 = 4. Let s(w) = -c*w + 19*w + 6*w - 6*w. What is i(s(z))?", "a": "392*z**2" }, { "q": "Let k(b) be the first derivative of -b**2/2 + 1048. Let d(u) = -98*u. What is k(d(q))?", "a": "98*q" }, { "q": "Let v(z) = 334 - 15*z**2 + 330 + 331 - 995. Let i(c) = 0*c**2 + 5*c**2 - c**2. Determine v(i(r)).", "a": "-240*r**4" }, { "q": "Let v(w) = 22*w. Let x(d) = 37744*d + 1. Determine v(x(j)).", "a": "830368*j + 22" }, { "q": "Let i(t) = 4079*t**2 - 2049*t**2 - 2075*t**2 - 3 + 3. Let a(h) = 31*h**2. Calculate a(i(z)).", "a": "62775*z**4" }, { "q": "Let l(z) = -58531*z - 1. Let b(g) = -g**2. Give l(b(j)).", "a": "58531*j**2 - 1" }, { "q": "Let n(w) = -7*w. Let d(i) be the first derivative of -2*i**3/3 + 51*i**2/2 - 116. Calculate d(n(k)).", "a": "-98*k**2 - 357*k" }, { "q": "Let a(g) = 6*g**2. Let m(k) = 3*k - 42. Let n(b) = 6*b - 79. Let w(l) = -13*m(l) + 6*n(l). What is a(w(u))?", "a": "54*u**2 - 2592*u + 31104" }, { "q": "Let n(x) = x. Let j(f) = 1064814*f. Calculate n(j(h)).", "a": "1064814*h" }, { "q": "Let o(w) = 4921*w + 3. Let y(c) = 6*c. What is o(y(a))?", "a": "29526*a + 3" }, { "q": "Let g(m) = 3*m**2. Let k(i) be the first derivative of -i**2 + 319*i + 930. What is g(k(c))?", "a": "12*c**2 - 3828*c + 305283" }, { "q": "Let l(o) = 152*o. Let k(f) = 57360*f. Determine k(l(c)).", "a": "8718720*c" }, { "q": "Let g(q) = 39301*q**2. Let n(x) = 39*x - 1. What is n(g(c))?", "a": "1532739*c**2 - 1" }, { "q": "Let s(r) = 3*r**2. Suppose -8*p - 31 = -21*p + 21. Let a(h) be the third derivative of 3*h**2 + 0*h**p + 1/20*h**5 + 0*h**3 + 0 + 0*h. Give a(s(k)).", "a": "27*k**4" }, { "q": "Let x(p) = 19*p**2. Let f(n) be the second derivative of 29*n**4/6 - 98*n. Calculate x(f(w)).", "a": "63916*w**4" }, { "q": "Let a(b) = b**2 - 94*b. Let z(j) be the first derivative of -j**2/2 + 1493. What is z(a(p))?", "a": "-p**2 + 94*p" }, { "q": "Let f = 752 - 239. Suppose 0 = 3*m - t - 381, 3*t + f = 7*m - 3*m. Let r(v) = m*v - 126*v - v**2. Let i(h) = 8*h. What is i(r(l))?", "a": "-8*l**2" }, { "q": "Let r(x) = -41*x**2. Let c(p) = -169*p + 159*p - 2 + 0 + 2. Give c(r(m)).", "a": "410*m**2" }, { "q": "Let s(a) = 2*a**2. Let d(i) = -15*i**2 + 6*i + 13. Let b be d(-3). Let r be (2/(-5))/(14/b). Let k(t) = -13 + r*t + 13. Calculate s(k(g)).", "a": "32*g**2" }, { "q": "Let z(b) = -13448621*b. Let h(m) = -3*m**2. Give h(z(f)).", "a": "-542596220404923*f**2" }, { "q": "Let k(o) = -6*o + 0*o - 13*o + 21*o. Let j(r) = 20*r**2 + 1. What is k(j(z))?", "a": "40*z**2 + 2" }, { "q": "Let a(d) = -d**2. Let p(m) = 4*m - 282602. Calculate p(a(h)).", "a": "-4*h**2 - 282602" }, { "q": "Let u(w) = w**2. Let k(f) = -14*f - 7. Suppose 59*a - 62*a - 21 = 0. Let v(b) = -5*b - 2. Let d(r) = a*v(r) + 2*k(r). Determine d(u(i)).", "a": "7*i**2" }, { "q": "Let i(f) = -2*f. Let n(b) = -5*b**2 + 224*b + 15. Let s(p) = -13*p**2 + 673*p + 40. Let k(v) = -8*n(v) + 3*s(v). Calculate k(i(o)).", "a": "4*o**2 - 454*o" }, { "q": "Let s = -46 + 77. Suppose -36*g + s*g = -10. Let h(k) = -2*k + 2*k - g*k + k. Let p(q) = -20*q**2. Give p(h(i)).", "a": "-20*i**2" }, { "q": "Let g(k) be the first derivative of 1/3*k**3 + 0*k - 67 + 0*k**2. Let x(b) = -24*b. What is g(x(u))?", "a": "576*u**2" }, { "q": "Let p(q) = 5*q**2 - 4. Let k(d) = -18*d**2 + 5*d + 16. Let b(c) = -k(c) - 4*p(c). Let a(o) = 9*o**2. Determine a(b(t)).", "a": "36*t**4 + 180*t**3 + 225*t**2" }, { "q": "Let k be ((-11)/4 - -2)*-12. Suppose 6*q = k + 9. Let a(v) = -3*v + 2*v - q*v - v. Let n(d) = 2*d**2. Determine a(n(x)).", "a": "-10*x**2" }, { "q": "Suppose 2*c - 2 - 16 = 4*k, -c = -4*k - 11. Let r(x) = 17*x**2 + c*x**2 - 21*x**2. Let d(w) be the first derivative of -2*w**2 - 2. Give d(r(i)).", "a": "-12*i**2" }, { "q": "Let p(x) = -2*x**2 - 19. Let z(m) = 4*m + 16. Let w(i) = 8. Let b(o) = 2*w(o) - z(o). What is p(b(r))?", "a": "-32*r**2 - 19" }, { "q": "Let m(f) = 1283037*f. Let h(o) = -o**2. Calculate m(h(x)).", "a": "-1283037*x**2" }, { "q": "Let a(r) = 1906708*r**2. Let m(q) = 9*q**2. What is a(m(o))?", "a": "154443348*o**4" }, { "q": "Let w(m) = -26*m. Let z(u) = -17*u - 35. Let r be z(-11). Let y(o) = -2*o - 152 + r. Give y(w(j)).", "a": "52*j" }, { "q": "Let p(i) = 169031*i**2. Let k(o) = 31*o**2. What is k(p(t))?", "a": "885715847791*t**4" }, { "q": "Let d(h) = -726*h**2. Let b(j) = -2*j + 1167. Determine b(d(r)).", "a": "1452*r**2 + 1167" }, { "q": "Let d(b) = -31215 + 4*b - 31215 + 62436. Let i(n) = -n - 1. Let v(r) = 7*r + 5. Let o(a) = 5*i(a) + v(a). Determine o(d(p)).", "a": "8*p + 12" }, { "q": "Let v(k) = -7*k**2 + 11*k - 11. Let l(q) = 4*q**2 - 6*q + 6. Let c(a) = -11*l(a) - 6*v(a). Let m(x) = 1100*x**2. Determine m(c(n)).", "a": "4400*n**4" }, { "q": "Let y(b) = 22*b**2. Let m(u) = -164470*u. Give m(y(n)).", "a": "-3618340*n**2" }, { "q": "Let n(z) = -2073992 + 2073992 + 35*z**2. Let i(c) = -4*c**2. Determine i(n(h)).", "a": "-4900*h**4" }, { "q": "Let w be 2 + 9 + 9/(-3). Let r(j) = -6 + w - 4 + 1. Let x(c) = 3*c**2 + 15. Let m(p) = 15*r(p) + x(p). Let f(q) = 4*q. Give m(f(i)).", "a": "48*i**2" }, { "q": "Let g(u) = 4*u**2. Let z(w) = 961 - 1922 + 965 - w. Calculate z(g(p)).", "a": "-4*p**2 + 4" }, { "q": "Let y(z) be the second derivative of -7*z**4/2 + 5*z**2/2 + 79*z - 2. Let f(a) = -a. Determine y(f(m)).", "a": "-42*m**2 + 5" }, { "q": "Let t(n) = -17*n - 2. Let x(w) = -130*w + 1. Determine x(t(g)).", "a": "2210*g + 261" }, { "q": "Let k(t) = 4*t**2. Let u(g) = 4*g - 24. Suppose 9*f - 6 = 3*f. Let h(i) = -2. Let s(m) = f*u(m) - 12*h(m). Give k(s(v)).", "a": "64*v**2" }, { "q": "Let d(g) = -4*g**2. Let y(c) be the second derivative of 13*c**3/2 - 7*c**2/2 + 1645*c. Determine d(y(t)).", "a": "-6084*t**2 + 2184*t - 196" }, { "q": "Let b(l) be the second derivative of 40*l**4 - 174*l. Let d(t) = t**2. What is b(d(q))?", "a": "480*q**4" }, { "q": "Let s(t) = -4*t. Let l = 1603 + -1585. Let k(n) be the third derivative of -l*n**2 + 0*n**3 - 1/15*n**5 + 0*n**4 + 0*n + 0. Give k(s(i)).", "a": "-64*i**2" }, { "q": "Let b(j) be the first derivative of -541*j**3/3 + 704. Let n(h) = 3*h. Give n(b(f)).", "a": "-1623*f**2" }, { "q": "Let j(i) = 29*i**2 - 4*i - 3. Let g(n) = -53*n**2 + 7*n + 5. Let k(z) = -4*g(z) - 7*j(z). Let q(l) = 2*l. Calculate q(k(o)).", "a": "18*o**2 + 2" }, { "q": "Let z(w) be the second derivative of -7*w**3/6 + 792*w. Let r(x) = -254*x**2. Give z(r(p)).", "a": "1778*p**2" }, { "q": "Let j(w) = 59318*w. Let n(v) = 79*v**2. Give n(j(c)).", "a": "277971384796*c**2" }, { "q": "Let o(c) be the second derivative of -7*c**3/6 + 1119*c. Let b(l) = 6*l**2 + 13. Let v(p) = -p**2 + 1 - 1 - 2. Let w(q) = 6*b(q) + 39*v(q). Give o(w(g)).", "a": "21*g**2" }, { "q": "Let a(m) be the first derivative of 2 + 0*m**2 + 2/3*m**3 + 0*m. Let n(b) = -3*b + 16. Calculate a(n(i)).", "a": "18*i**2 - 192*i + 512" }, { "q": "Let p(z) = -45*z + 25. Let v(o) = -11*o + 6. Let m(w) = 6*p(w) - 25*v(w). Let q(g) = 69*g**2 - 3. Calculate q(m(u)).", "a": "1725*u**2 - 3" }, { "q": "Let a(f) = -2724*f**2 - 2270*f - 4540. Let g(i) = i**2 + i + 2. Let w(r) = -2*a(r) - 4540*g(r). Let y(z) = -z. Determine y(w(j)).", "a": "-908*j**2" }, { "q": "Let i(j) be the third derivative of 0*j**3 + 0*j**4 + 0*j - 1/6*j**5 + 0 - 11*j**2. Let s(g) = -3*g. Give i(s(c)).", "a": "-90*c**2" }, { "q": "Let b(r) be the third derivative of 159*r**5/20 - 529*r**2 - r. Let v(j) = j. Give v(b(t)).", "a": "477*t**2" }, { "q": "Let w(u) = u**2. Let i(k) be the second derivative of 41*k**6/360 + 3*k**3 + k**2 - 23*k. Let z(c) be the second derivative of i(c). Give w(z(m)).", "a": "1681*m**4" }, { "q": "Let a(w) = -w**2. Let r(b) = 24*b - 21*b - 12*b - b**2 + 3*b**2. Let v(z) = z**2 - z. Let f(u) = -2*r(u) + 6*v(u). What is a(f(s))?", "a": "-4*s**4 - 48*s**3 - 144*s**2" }, { "q": "Let p(f) = 67223*f. Let k(g) = g**2 - 3*g. Determine p(k(r)).", "a": "67223*r**2 - 201669*r" }, { "q": "Let s(i) = 686*i**2. Let z(d) = 3*d**2 - 12*d + 6. Let w(c) = -2*c + 1. Let u(t) = 6*w(t) - z(t). What is s(u(k))?", "a": "6174*k**4" }, { "q": "Let l(j) = -14*j**2 - 16. Let x(y) = 240*y**2 + 280. Let z(b) = 35*l(b) + 2*x(b). Suppose 7*m - 10 = 2*m. Let n(s) = m*s**2 + 1 - 1. What is n(z(f))?", "a": "200*f**4" }, { "q": "Let x(l) = -2*l**3 - 6*l**2 + 6*l - 21. Let c be x(-7). Let r(q) = -164*q + c*q - 169*q. Let p(k) = 2*k. Give r(p(g)).", "a": "-8*g" }, { "q": "Let x(b) = 12*b**2. Let k(d) = 143332*d + 3. Calculate k(x(m)).", "a": "1719984*m**2 + 3" }, { "q": "Let s(o) = 15*o + 11. Let v be s(0). Suppose 2*u = u + 4. Let c(r) = v*r - 5 + 5 + u*r. Let a(y) = -y**2. Give a(c(f)).", "a": "-225*f**2" }, { "q": "Let r(a) = -2*a**2. Let f = 2/3229 - -3223/9687. Let t(w) be the first derivative of 0*w + 0*w**2 - 15 + f*w**3. Determine r(t(j)).", "a": "-2*j**4" }, { "q": "Let h(i) = -12*i**2 + 26*i**2 - 10*i**2 - 3*i**2 - 14*i**2. Let n(f) = 60*f. Determine h(n(s)).", "a": "-46800*s**2" }, { "q": "Let o(s) = -35*s**2 - 15*s + 30. Let l(f) = -9*f**2 - 4*f + 8. Let p(x) = -15*l(x) + 4*o(x). Let v(m) = -45*m**2. What is v(p(a))?", "a": "-1125*a**4" }, { "q": "Let b(k) = 2*k**2. Let a(u) = 3175262*u. Give b(a(z)).", "a": "20164577537288*z**2" }, { "q": "Let y(b) be the second derivative of -43*b**4/6 + 6*b + 40. Let p(v) = 6*v**2. Calculate y(p(i)).", "a": "-3096*i**4" }, { "q": "Let d(t) = 3*t - 45. Let f(q) = q - 5. Let r(a) = -2*d(a) + 18*f(a). Let z(y) = 42*y. What is r(z(h))?", "a": "504*h" }, { "q": "Let d(k) = 2*k. Let t(y) = 25740490*y. Calculate t(d(f)).", "a": "51480980*f" }, { "q": "Let d(w) = -3337*w. Let n(f) = -f**2 + 450*f. Calculate n(d(t)).", "a": "-11135569*t**2 - 1501650*t" }, { "q": "Let o(j) = 7*j. Let a(h) = -h**2 - 3*h + 18. Let m be a(-6). Suppose m = -7*u + 20 - 6. Let s(q) = 2*q - 5*q + u*q - q. Calculate s(o(b)).", "a": "-14*b" }, { "q": "Let z(o) = 2*o. Let m(l) = 7*l - 73. Let u(x) = 11*x - 123. Let h(y) = -8*m(y) + 5*u(y). Give h(z(d)).", "a": "-2*d - 31" }, { "q": "Let a(f) = 301 - 6*f - 301 + 4*f. Let g(b) = -2*b - 113. Give a(g(o)).", "a": "4*o + 226" }, { "q": "Let s(i) = -12153550*i. Let x(r) = r. Give s(x(w)).", "a": "-12153550*w" }, { "q": "Let r(p) be the second derivative of -p**5/120 + 16*p**3/3 - p**2 + 92*p. Let x(n) be the second derivative of r(n). Let s(b) = b + 3*b + 10*b. What is s(x(k))?", "a": "-14*k" }, { "q": "Let c(l) = -l. Let s(u) = -1438014*u**2. Calculate s(c(x)).", "a": "-1438014*x**2" }, { "q": "Let j(i) = -11*i**2 - 27. Let h(p) = -5*p**2 - 12. Let w(s) = -9*h(s) + 4*j(s). Let z(q) be the third derivative of 11*q**5/60 - 11*q**2. Calculate z(w(f)).", "a": "11*f**4" }, { "q": "Suppose 3*w + 3*b = 60, 4*b - 2*b + 75 = 3*w. Let v(l) = -17*l - w*l + 39*l. Let u(t) = t - 2. Give u(v(f)).", "a": "-f - 2" }, { "q": "Let o(h) = -6*h**2. Let g(u) = 13 - 30 + 10 - 65*u + 7. Determine g(o(p)).", "a": "390*p**2" }, { "q": "Let s = 132 - 130. Let m(o) = -5386*o + 5386*o + 3*o**s. Let v(p) = -23*p. Give v(m(r)).", "a": "-69*r**2" }, { "q": "Let m(b) = -263558*b. Let v(k) = 16*k**2. Determine v(m(z)).", "a": "1111405109824*z**2" }, { "q": "Let j(s) = -25*s**2. Let k(a) = 574*a - 2214. Let c(v) = -2*v + 9. Let f(n) = -246*c(n) - k(n). Give f(j(b)).", "a": "2050*b**2" }, { "q": "Let a(v) = v + 286. Let f(q) = -q - 96 + 275 - 88 - 91. Give f(a(s)).", "a": "-s - 286" }, { "q": "Let f = -55 + 58. Let i(n) = -8*n**2 + f*n**2 + 6*n**2. Let g(l) = -l - 23. What is g(i(z))?", "a": "-z**2 - 23" }, { "q": "Let h(q) = 2*q**2. Let o(t) be the first derivative of t**3/3 + 13*t**2 - 678. Give h(o(b)).", "a": "2*b**4 + 104*b**3 + 1352*b**2" }, { "q": "Let i(u) = -u**2. Let s(v) = -8*v**2 - 48*v - 62. Determine s(i(w)).", "a": "-8*w**4 + 48*w**2 - 62" }, { "q": "Let d(w) = -w. Let a(n) = -7510163*n. Calculate d(a(v)).", "a": "7510163*v" }, { "q": "Let p(i) = 7*i. Let j(y) = -62*y**2 + 276. What is j(p(l))?", "a": "-3038*l**2 + 276" }, { "q": "Let c(o) be the third derivative of o**5/30 - 9*o**2 + 85*o. Let i(t) = -1566*t - 1. Calculate i(c(a)).", "a": "-3132*a**2 - 1" }, { "q": "Let a(y) be the first derivative of 0*y**2 + 0*y - 7/3*y**3 + 6. Let o(x) = x**2. Give a(o(z)).", "a": "-7*z**4" }, { "q": "Let s(p) = 5824284*p. Let t(q) = 2*q**2. What is s(t(h))?", "a": "11648568*h**2" }, { "q": "Let w(v) = 19*v**2. Let p(z) = 1 + 4 + 0 - 2*z. Let l(k) = 14*k + 15*k - 27*k - 4. Let h(o) = 5*l(o) + 4*p(o). What is w(h(u))?", "a": "76*u**2" }, { "q": "Let z(f) = -7*f - 56. Let k be z(-14). Let d(r) = -r**2 + k - 94 + 52. Let j(c) = -1 + 1 + 5*c. Determine d(j(n)).", "a": "-25*n**2" }, { "q": "Let n(g) = -11*g**2. Suppose j + 5*q = 20, 4*j + 11 = 5*j - 4*q. Let s(a) = a**2 - 7*a - 9. Let d be s(9). Let k(y) = -8*y + j*y - d*y. Give n(k(m)).", "a": "-44*m**2" }, { "q": "Let v(j) = 1962*j - 2011*j - 5 + 5. Let g(s) = 10*s**2. Give g(v(b)).", "a": "24010*b**2" }, { "q": "Let o(b) = 211*b. Let y(j) = -84068*j. Give o(y(k)).", "a": "-17738348*k" }, { "q": "Let v(k) = k**2. Let n(j) = 299*j - 10. Let p(z) = -2*z + 3. Let u(c) = -n(c) - 4*p(c). What is u(v(y))?", "a": "-291*y**2 - 2" }, { "q": "Let a(u) be the first derivative of -3*u**2 + 1007. Let d(o) = 88*o**2. Determine d(a(r)).", "a": "3168*r**2" }, { "q": "Let x(s) = -24*s**2 - 4*s + 275. Let p(q) = 5*q. Give x(p(t)).", "a": "-600*t**2 - 20*t + 275" }, { "q": "Let g(m) = -357*m + 24. Let x(f) = -15*f + 1. Let u(d) = -3*g(d) + 72*x(d). Let a(r) = 3*r + 7. Give u(a(k)).", "a": "-27*k - 63" }, { "q": "Let n(g) be the third derivative of g**5/20 + 11*g**4/24 - g**2. Let s(a) = -3*a. Calculate s(n(p)).", "a": "-9*p**2 - 33*p" }, { "q": "Let y(m) = 1499516*m. Let c(l) = -9*l. Give y(c(j)).", "a": "-13495644*j" }, { "q": "Let p(c) = -c. Let n(o) be the third derivative of -o**4/12 + 11*o**3/6 + 4*o**2 - 15. Determine p(n(k)).", "a": "2*k - 11" }, { "q": "Let j(o) be the first derivative of 20*o**3/3 - 926. Let d(l) = -89*l**2 - 1. Give j(d(w)).", "a": "158420*w**4 + 3560*w**2 + 20" }, { "q": "Let g(t) = 9*t - 4. Let q be ((-20)/30)/(2/(-45)). Let f(a) = 35*a - 15. Let b(y) = q*g(y) - 4*f(y). Let v(x) = 3*x + x - 7*x + x. Calculate v(b(u)).", "a": "10*u" }, { "q": "Let l(s) = -30 + 203 - 305*s + 306*s. Let p(u) = u**2. Give l(p(t)).", "a": "t**2 + 173" }, { "q": "Let y(r) = -1641*r - 32. Let x(j) = j**2. What is x(y(n))?", "a": "2692881*n**2 + 105024*n + 1024" }, { "q": "Let t(l) = 41*l**2 + 4. Let v(g) = -80*g - 9. Let b(c) = 18*c + 2. Let s(f) = -9*b(f) - 2*v(f). Determine s(t(m)).", "a": "-82*m**2 - 8" }, { "q": "Let h(y) = 4*y**2. Let p(z) be the second derivative of 0*z**3 - 1/6*z**4 + 2*z + 0*z**2 + 16. What is p(h(n))?", "a": "-32*n**4" }, { "q": "Let f(k) = -521*k + 1051*k - 530*k + k**2. Let r(s) = -608*s. Calculate r(f(p)).", "a": "-608*p**2" }, { "q": "Let p(t) = 86*t**2 + 3*t. Let q(u) be the first derivative of u**3/3 - 973. Give p(q(a)).", "a": "86*a**4 + 3*a**2" }, { "q": "Suppose 7 = -149*y + 150*y. Let k(r) = y*r + 4*r - 10*r - 3*r. Let c(z) = -9*z - 1. Calculate c(k(o)).", "a": "18*o - 1" }, { "q": "Let p(q) = 0*q - 4*q + 5*q. Let v(x) = 30*x + 25. Let m(g) = 64*g + 53. Let r(y) = -6*m(y) + 13*v(y). What is r(p(l))?", "a": "6*l + 7" }, { "q": "Suppose 20*f = 21*f - 2. Let z(j) = -j + f*j - 8*j + j. Let v(g) = 2*g. Let r(w) = 4*w. Let t(q) = -6*r(q) + 13*v(q). Give t(z(n)).", "a": "-12*n" }, { "q": "Let o(d) = -d - 4940. Let m(b) = -1960*b + 1. Determine o(m(x)).", "a": "1960*x - 4941" }, { "q": "Let h(t) = -110296*t. Let c(p) = 2*p**2. Give h(c(m)).", "a": "-220592*m**2" }, { "q": "Let k(l) be the second derivative of l**3/3 - 7*l**2 - 1526*l. Let c(d) = 10*d. Determine k(c(a)).", "a": "20*a - 14" }, { "q": "Let p(h) = -194*h**2 - 9 + 190*h**2 - 1 + 3. Let g(y) = -6*y**2. What is g(p(d))?", "a": "-96*d**4 - 336*d**2 - 294" }, { "q": "Let c(a) = 3536*a - 2. Let r(j) = 5*j**2 - 185. What is r(c(z))?", "a": "62516480*z**2 - 70720*z - 165" }, { "q": "Let a(o) be the first derivative of 2*o**3 + 3. Let r(i) = -i**2 - 13*i - 32. Let m be r(-6). Let w(v) = 20*v - m*v - 15*v. What is a(w(f))?", "a": "150*f**2" }, { "q": "Let r(q) = -q**2. Let i(c) be the third derivative of -13*c**5/30 + c**4 + 1265*c**2. Give i(r(k)).", "a": "-26*k**4 - 24*k**2" }, { "q": "Let a(p) = -p + 12819. Let q(f) = -2*f**2 - 65*f. What is q(a(u))?", "a": "-2*u**2 + 51341*u - 329486757" }, { "q": "Let g(h) = 3*h. Suppose 10 = -w - 3*o, 4*w - o = -3*o. Let a(y) = 35*y**2 - 32*y**w - 38*y**2. Calculate a(g(x)).", "a": "-315*x**2" }, { "q": "Let f(m) = -102*m. Let c(o) = -30*o. Let b(r) = -23*r. Let t(h) = 4*b(h) - 3*c(h). Determine t(f(n)).", "a": "204*n" }, { "q": "Let d(k) = -2027*k**2 - 5. Let f(g) = -94*g. Calculate d(f(t)).", "a": "-17910572*t**2 - 5" }, { "q": "Let b(x) be the second derivative of x**4/4 + x. Let r be -3*2/(-14) - 5205/(-105). Let k(t) = -5*t**2 - 50*t + 0*t**2 + r*t. Determine b(k(d)).", "a": "75*d**4" }, { "q": "Suppose 0 = j + j + 48. Let u = j - -26. Let m(g) = -54*g**2 + 56*g**u - 4 + 4. Let a(s) = 10*s**2. Determine m(a(b)).", "a": "200*b**4" }, { "q": "Let g be (-48)/(-26) - (-14)/91. Let q(w) = w**g - 3*w**2 + 3*w**2. Let c(p) = -p. Calculate q(c(a)).", "a": "a**2" }, { "q": "Let k(l) = l. Let a(g) = -59*g**2 + 11*g. Let t(h) = 169*h**2 - 34*h. Let x(w) = 17*a(w) + 6*t(w). Give k(x(p)).", "a": "11*p**2 - 17*p" }, { "q": "Let y(d) = d**2 + 4*d + 4. Let n(i) = -i - 1. Let v(b) = 4*n(b) + y(b). Let p(a) = a - 7*a + 0*a + 2*a + 5*a. Calculate p(v(c)).", "a": "c**2" }, { "q": "Let d(t) = -15885 - 6*t + 31773 - 15888. Let s(h) = 16*h. What is s(d(r))?", "a": "-96*r" }, { "q": "Let b(x) = 30157*x**2 - 3*x. Let j(r) = -r. What is j(b(s))?", "a": "-30157*s**2 + 3*s" }, { "q": "Let b(i) = -i**2. Let y(j) = -3142*j - 20. Let u(a) = -1571*a - 8. Let l(g) = -5*u(g) + 2*y(g). Calculate l(b(z)).", "a": "-1571*z**2" }, { "q": "Let x(n) = -n. Let g(u) = 1091*u + 3369. Calculate g(x(i)).", "a": "-1091*i + 3369" }, { "q": "Let b(z) = -z**2 + z + 18. Let y be b(0). Let m(g) = y*g - 12*g - 5*g. Let j(x) = 30*x. Determine j(m(p)).", "a": "30*p" }, { "q": "Let j(o) = -o + 6. Let p(s) = -2. Let z(d) = 2*j(d) + 6*p(d). Let m(x) = -86*x - 87*x - 84*x + 341*x - 90*x. Determine m(z(c)).", "a": "12*c" }, { "q": "Let i(d) be the first derivative of 5*d**3 + 1014. Let w(r) = -21*r. What is i(w(j))?", "a": "6615*j**2" }, { "q": "Let q(h) = 761*h**2. Let b(p) = 1560*p. Determine q(b(c)).", "a": "1851969600*c**2" }, { "q": "Let f(l) = l**2 + 4*l - 4. Let r = -174 - -167. Let b(p) = -2*p**2 - 7*p + 7. Let o(s) = r*f(s) - 4*b(s). Let h(u) = 138*u**2. What is o(h(j))?", "a": "19044*j**4" }, { "q": "Let a(j) = -1535751*j**2 + j + 1535750*j**2 - j. Let l(o) = 90*o**2 - 6*o. Determine l(a(t)).", "a": "90*t**4 + 6*t**2" }, { "q": "Let t(s) = -41*s**2 + 2. Let y(g) = -g**3 + 3*g**2 + 2. Let m be y(0). Let v(q) = -q + q - m*q. What is t(v(j))?", "a": "-164*j**2 + 2" }, { "q": "Let n(v) = 34*v + 14. Let m(c) = -1. Let a(f) = 2*f - 1. Let u(x) = 6*a(x) - 11*m(x). Let i(z) = 5*n(z) - 14*u(z). Let p(t) = 8*t - 7*t + 18*t. What is i(p(d))?", "a": "38*d" }, { "q": "Let u(a) = a + 1. Suppose l + 4*l - 3*b - 4 = 0, -2*l = b - 6. Let v(t) = -4*t + t - l*t + 4*t. What is v(u(f))?", "a": "-f - 1" }, { "q": "Let c = 49 + -46. Let y(b) = c*b + b - 5*b + 2*b. Let v(s) = 11*s. Let x(z) = -330*z. Let r(j) = 121*v(j) + 4*x(j). What is y(r(a))?", "a": "11*a" }, { "q": "Let q(f) = -9*f - 18*f + 9*f - 15*f. Let k(h) = -47*h**2 + 25*h**2 + 21*h**2. What is k(q(w))?", "a": "-1089*w**2" }, { "q": "Let l(t) = -36*t. Suppose 996 = y - n + 316, 2725 = 4*y - 5*n. Let u(h) = 4*h + y - 675. Give l(u(i)).", "a": "-144*i" }, { "q": "Let j(b) = 238 + b - 238 - 3*b. Let z(q) be the third derivative of 0*q + 23*q**2 + 0*q**4 - 7/60*q**5 + 0 + 0*q**3. What is z(j(d))?", "a": "-28*d**2" }, { "q": "Let s(p) = 2*p**2. Let q(y) be the third derivative of 119*y**4/8 + 404*y**2 - 2*y. What is s(q(u))?", "a": "254898*u**2" }, { "q": "Let f(p) = 12*p**2 + 20*p. Let w(x) = x**2 + 2*x. Let y(a) = -f(a) + 10*w(a). Let v(s) = 1313*s**2. Give y(v(k)).", "a": "-3447938*k**4" }, { "q": "Let h(y) = -3441131*y**2. Let p(k) = 2*k. Give p(h(m)).", "a": "-6882262*m**2" }, { "q": "Let x be (-16)/(-504)*9 + (-24)/(-14). Let u(b) = 2*b - 2*b**x + 4*b - 6*b. Let a(g) = -9*g**2. Calculate u(a(m)).", "a": "-162*m**4" }, { "q": "Let m(w) = 8*w + 54. Let p(v) = 9*v + 60. Let c(g) = 10*m(g) - 9*p(g). Let q(r) be the second derivative of 0*r**2 + 0 - 3/2*r**3 - 3*r. What is q(c(b))?", "a": "9*b" }, { "q": "Let k(m) = -132*m - 2. Let v(t) = 425*t + 5. Let c(o) = -17*k(o) - 6*v(o). Let f(i) = 2*i. What is f(c(s))?", "a": "-612*s + 8" }, { "q": "Let j(v) = -769*v. Let z(s) = -9551*s. Determine z(j(n)).", "a": "7344719*n" }, { "q": "Let a(q) = 44*q**2. Let r(m) = 18*m**2. Let d(u) = -5*a(u) + 12*r(u). Suppose 26 = 5*j - 4*y, 4*y + 0 = -16. Let v(w) = 5 + 6*w - 3 - j. What is v(d(z))?", "a": "-24*z**2" }, { "q": "Let x(k) = 52*k**2 + 15*k - 3. Let l(q) = -103*q**2 - 25*q + 5. Let z(d) = -3*l(d) - 5*x(d). Let m(s) = -3*s. Calculate z(m(r)).", "a": "441*r**2" }, { "q": "Let l(c) = -11*c**2 - 7*c + 62. Let h(f) = 5*f**2 + 3*f - 31. Let a(d) = -7*h(d) - 3*l(d). Let r(x) be the first derivative of x**3/3 + 99. Determine a(r(n)).", "a": "-2*n**4 + 31" }, { "q": "Let a(j) = -2*j**2. Let k(i) = -34698749*i**2. Determine a(k(m)).", "a": "-2408006364330002*m**4" }, { "q": "Let q(c) = 2*c. Let v = -1/2638 + 10555/7914. Let h(d) be the first derivative of -v*d**3 + 0*d + 0*d**2 - 7. Determine q(h(y)).", "a": "-8*y**2" }, { "q": "Let n(y) = 606*y + 1003. Let z(i) = -8*i**2. Determine n(z(t)).", "a": "-4848*t**2 + 1003" }, { "q": "Let s(j) = -4014*j**2. Let v(b) = 630*b. Calculate s(v(w)).", "a": "-1593156600*w**2" }, { "q": "Let a(q) = -12672*q**2 - q + 13. Let l(x) = -9*x**2. Determine a(l(h)).", "a": "-1026432*h**4 + 9*h**2 + 13" }, { "q": "Let w(z) be the second derivative of -5*z**3/6 + 39*z**2/2 + 80*z. Let v(n) = n. Determine v(w(o)).", "a": "-5*o + 39" }, { "q": "Let n(z) = -z**3 - 18*z**2 - 17*z + 2. Let p be n(-17). Let d(m) = 17*m**2 + 7*m**2 + 3*m**2 - 3*m**p. Let r(j) = 4*j**2. What is r(d(h))?", "a": "2304*h**4" }, { "q": "Let q(l) = 5*l - 2. Let h(z) = 7*z - 3. Let o(t) = 2*h(t) - 3*q(t). Let p(i) = 2806*i. Determine o(p(c)).", "a": "-2806*c" }, { "q": "Let d(l) = 12*l**2. Let v(j) = 1458688*j. Give v(d(g)).", "a": "17504256*g**2" }, { "q": "Let x(f) = 262*f**2 + 2*f - 105. Let q(y) = 27*y. Give x(q(a)).", "a": "190998*a**2 + 54*a - 105" }, { "q": "Let c(w) = -2*w**2. Let z(p) = -576*p + 2522. What is z(c(j))?", "a": "1152*j**2 + 2522" }, { "q": "Let w(v) = -15*v. Suppose -b = -4*b + 2*t + 53, 54 = 3*b - 3*t. Let d(y) = 3*y + 15*y - b*y. What is d(w(s))?", "a": "-15*s" }, { "q": "Let l(z) = -32*z**2 - 4*z - 8. Let u(x) = -41*x**2 - 5*x - 10. Let v(g) = -5*l(g) + 4*u(g). Let c(b) = 377*b**2. Give v(c(d)).", "a": "-568516*d**4" }, { "q": "Let i(r) = -6*r**2. Let m(q) be the second derivative of -5*q + 0 - 1/4*q**4 + 0*q**3 + 17/2*q**2. Let p(o) be the first derivative of m(o). What is p(i(v))?", "a": "36*v**2" }, { "q": "Let q(n) = 2*n**2. Let i(g) be the first derivative of g**5/15 + 19*g**3 - 2. Let r(m) be the third derivative of i(m). Give q(r(h)).", "a": "128*h**2" }, { "q": "Let o(z) = 23*z**2 - 5*z - 10. Let y(n) = 13*n**2 - 3*n - 6. Let f(h) = 3*o(h) - 5*y(h). Let g(a) = -275*a**2. Determine f(g(j)).", "a": "302500*j**4" }, { "q": "Let n(f) = -4*f + 6*f - 3*f. Let r(o) = o**3 + 9*o**2 - o - 7. Let x be r(-9). Let t(g) = -3*g**x - g + g + 27*g**2. Calculate n(t(v)).", "a": "-24*v**2" }, { "q": "Let y(f) = 5. Let t(d) = -d - 3. Let i(k) = 5*t(k) + 3*y(k). Let a(o) = -19*o**2 + 6. Let l(h) = -286*h**2 + 91. Let j(n) = 91*a(n) - 6*l(n). What is i(j(w))?", "a": "65*w**2" }, { "q": "Let f(m) = m. Let g(r) = 71*r + 17. Let k(n) = 69*n + 17. Let q(u) = 2*g(u) - 3*k(u). Let c(z) = 98*z + 24. Let y(p) = 5*c(p) + 7*q(p). Determine y(f(h)).", "a": "35*h + 1" }, { "q": "Let f(j) be the third derivative of j**5/60 - 21*j**2. Let x(o) be the third derivative of -2*o**5/15 + o**3/6 - 2*o**2 - 28*o. What is f(x(p))?", "a": "64*p**4 - 16*p**2 + 1" }, { "q": "Let u(a) = -71*a**2. Let k(y) = -4652*y**2 + 2323*y**2 + 2336*y**2. Give k(u(v)).", "a": "35287*v**4" }, { "q": "Let p(a) be the third derivative of -a**4/8 - a**2. Let w(u) be the second derivative of -u**4/6 - 14*u**3/3 - 4*u - 117. Determine p(w(c)).", "a": "6*c**2 + 84*c" }, { "q": "Let s be (-59)/((-3)/(6/2)). Let p(u) = -1 + 6 - 121*u + 61*u + s*u. Let g(h) = h**2. Determine g(p(n)).", "a": "n**2 - 10*n + 25" }, { "q": "Let w(x) = -47478*x + 23735*x + 23733*x. Let k(d) = 104*d. What is k(w(a))?", "a": "-1040*a" }, { "q": "Let b(i) = 3175*i - 6378*i + 3202*i. Let p(j) = -j + 1. Let n be p(1). Let t(r) = 2*r**2 + 0 + n. What is t(b(q))?", "a": "2*q**2" }, { "q": "Let w(o) = -74147*o. Let n(d) = -63*d - 2. What is w(n(k))?", "a": "4671261*k + 148294" }, { "q": "Let p(k) be the second derivative of -2*k**4/3 + k. Let r(s) be the second derivative of -5*s**4/12 + 5795*s. What is r(p(y))?", "a": "-320*y**4" }, { "q": "Let x(a) = -265 + 136 + 4*a + 131 + 21*a. Let b(p) be the third derivative of p**4/24 - 9*p**2. Calculate x(b(m)).", "a": "25*m + 2" }, { "q": "Let v(s) = -81*s**2. Let y(z) = -3*z**2 + 54*z. Let r(m) = 18*m. Let l(g) = -3*r(g) + y(g). Determine l(v(c)).", "a": "-19683*c**4" }, { "q": "Let d(s) = -8*s. Let v(o) = -5528*o - 75*o**2 + 11056*o - 5527*o. Calculate d(v(z)).", "a": "600*z**2 - 8*z" }, { "q": "Let h(s) = -23*s**2 + 4*s**2 + 5*s**2 + 24*s**2. Let b(v) = -158*v**2. Determine b(h(w)).", "a": "-15800*w**4" }, { "q": "Let x(r) = -2*r**2 + 7*r**2 + 0*r + 0*r. Let y(p) = -518*p + 15. Let g(n) = -69*n + 2. Let t(o) = 15*g(o) - 2*y(o). Give x(t(d)).", "a": "5*d**2" }, { "q": "Let y(w) = -1734*w**2 + w - 1. Let s(d) = -311*d. What is y(s(o))?", "a": "-167714214*o**2 - 311*o - 1" }, { "q": "Let s(d) = 1125*d**2. Let y(t) = -4041*t. Give y(s(n)).", "a": "-4546125*n**2" }, { "q": "Let h(d) = -6*d. Let f(i) = -i**2 + 36578. Give h(f(k)).", "a": "6*k**2 - 219468" }, { "q": "Let f(w) be the third derivative of -w**5/60 + w**4/8 - 5*w**2. Let i(t) be the second derivative of -t**4/12 + 63*t - 6. Calculate i(f(z)).", "a": "-z**4 + 6*z**3 - 9*z**2" }, { "q": "Let r(a) = -2*a**2. Let i(d) = -12155 + 12155 - d**2. Let u(s) = 12*i(s) - 5*r(s). Let q(z) = -14*z. What is q(u(v))?", "a": "28*v**2" }, { "q": "Let k = 4477 + -4477. Let x(d) be the third derivative of 1/12*d**4 + 0 + 15*d**2 + k*d**3 + 0*d. Let l(a) = -6*a. Determine l(x(v)).", "a": "-12*v" }, { "q": "Let k(n) = -357*n. Let z(b) = -2 + 91*b**2 + 2 - 90*b**2. What is z(k(g))?", "a": "127449*g**2" }, { "q": "Let b(n) be the second derivative of 97*n**3/6 + n. Let x(m) = -8870*m**2 + 17928*m**2 - 9060*m**2. Determine x(b(a)).", "a": "-18818*a**2" }, { "q": "Let k(q) = -17*q - 40. Let n(d) = -273*d - 650. Let h(c) = 65*k(c) - 4*n(c). Let p(z) = -28*z. Calculate h(p(v)).", "a": "364*v" }, { "q": "Let z(c) = 2*c**2 - 3*c**2 + 13*c**2. Let u(h) be the third derivative of -1/24*h**4 + 0 + 0*h**3 + 0*h + 35*h**2. What is z(u(p))?", "a": "12*p**2" }, { "q": "Let a(l) = 2*l + 7673. Let m(v) = 34*v. Determine m(a(p)).", "a": "68*p + 260882" }, { "q": "Let f(g) be the second derivative of -19*g**4/24 - 33*g**2/2 - 56*g - 1. Let m(s) be the first derivative of f(s). Let x(w) = -3*w. Give x(m(o)).", "a": "57*o" }, { "q": "Let d(j) = -4*j**2. Let a(y) = 3283999*y. Give d(a(b)).", "a": "-43138597728004*b**2" }, { "q": "Let g(t) = 9*t**2. Let v be 4 + (7 - 14) + 91/1. Let u(x) = -2*x - 175 + v + 87. Determine u(g(n)).", "a": "-18*n**2" }, { "q": "Let r(i) = i. Let n(l) be the third derivative of l**5/60 - 1075*l**4/24 - 169*l**2. Determine n(r(w)).", "a": "w**2 - 1075*w" }, { "q": "Let k(p) = -8*p. Let b(i) = -42*i - 245. Let q(m) = -m + 5. Let y(n) = 2*b(n) + 98*q(n). What is k(y(v))?", "a": "1456*v" }, { "q": "Let h(d) = d**2. Let r(o) = 13*o**2 + 3. Let j(c) = -12*c**2 - 4. Let a(u) = -3*j(u) - 4*r(u). Let v(m) = -a(m) + 10*h(m). Let p(x) = -x. Determine p(v(f)).", "a": "-26*f**2" }, { "q": "Let z(t) = -2*t. Let s be -10*(-7 - -5 - 3/(-2)). Let u(k) = 4 + s*k - 6 - 1. Calculate z(u(v)).", "a": "-10*v + 6" }, { "q": "Let c(o) = -2*o - 90. Let b(u) = 501*u - 5. Determine c(b(a)).", "a": "-1002*a - 80" }, { "q": "Let s(y) = -8*y**2 + 1176*y - 22. Let w(q) = -q**2. Determine s(w(j)).", "a": "-8*j**4 - 1176*j**2 - 22" }, { "q": "Suppose 25*w = -1194 - 181. Let s(r) = -352*r - 55. Let h(k) = -10*k - 2 - 5*k + 2*k. Let z(y) = w*h(y) + 2*s(y). Let i(d) = d. What is i(z(g))?", "a": "11*g" }, { "q": "Let f(a) = a. Let r(c) = -1346521*c + 29320. Let i(w) = -735*w + 16. Let d(j) = 3665*i(j) - 2*r(j). What is d(f(l))?", "a": "-733*l" }, { "q": "Let j(o) = -3*o**2 - o + 1. Let v(l) = -16*l**2 - 5*l + 5. Let n(d) = 5*j(d) - v(d). Let k(b) = -921*b. Determine n(k(h)).", "a": "848241*h**2" }, { "q": "Let u(i) = 20*i - 13. Let a(d) = -9*d + 6. Let l(q) = 13*a(q) + 6*u(q). Let v(g) = -g. Let p(r) = -2*l(r) + v(r). Let s(t) = t**2. Give s(p(y)).", "a": "49*y**2" }, { "q": "Let t(i) be the third derivative of -i**4/24 + 1204*i**2. Let j(w) = 512*w**2. Determine j(t(z)).", "a": "512*z**2" }, { "q": "Let t(w) = w. Let m(g) be the third derivative of 17*g**4/24 - 417*g**2. Give t(m(n)).", "a": "17*n" }, { "q": "Let u(x) = -4*x**2 - 79003*x. Let b(q) = -3*q**2. What is u(b(t))?", "a": "-36*t**4 + 237009*t**2" }, { "q": "Let c(a) = a. Let o = 142 - -50. Let z(x) = -2040*x**2 - 192*x. Let f(k) = -53*k**2 - 5*k. Let w(h) = o*f(h) - 5*z(h). Determine c(w(i)).", "a": "24*i**2" }, { "q": "Let k(a) = 228*a**2. Let x(m) be the first derivative of m**2/2 + 1288. Determine x(k(u)).", "a": "228*u**2" }, { "q": "Let g(p) = 23*p. Let m(c) = 7 - 15 + 8 - 2*c**2 - 14*c**2. What is g(m(s))?", "a": "-368*s**2" }, { "q": "Let j(f) = 7*f. Let n(s) be the second derivative of -s**4/12 - s**3/6 - 1374*s. Determine j(n(y)).", "a": "-7*y**2 - 7*y" }, { "q": "Let q(d) = -4*d**2. Let m(u) = 44*u - 35. Calculate q(m(t)).", "a": "-7744*t**2 + 12320*t - 4900" }, { "q": "Let m(c) be the third derivative of -29*c**4/24 + 825*c**2. Let j(y) = y. Let x(k) = -k**2 - k. Let i(l) = -2*j(l) - 2*x(l). Give i(m(p)).", "a": "1682*p**2" }, { "q": "Let v(j) = -j. Suppose 3*a - 68 = -71, -1 = -2*c + a. Let u(q) be the second derivative of 0*q**2 + 2/3*q**3 + 18*q + c. What is v(u(k))?", "a": "-4*k" }, { "q": "Let u(o) = -6*o. Suppose 5*r - 148 = -g + 3*g, 0 = 4*r + 5*g - 125. Let x(w) = -42*w. Let n(t) = r*u(t) - 4*x(t). Let k(p) = -9*p. Give n(k(s)).", "a": "108*s" }, { "q": "Let v(b) = 2*b**2. Let f(k) = -373768*k**2. What is v(f(p))?", "a": "279405035648*p**4" }, { "q": "Let v(j) be the first derivative of 3*j**2/2 + 6*j + 665. Let m(w) = -3*w**2. What is m(v(k))?", "a": "-27*k**2 - 108*k - 108" }, { "q": "Let t(q) = 2*q. Let o(a) be the third derivative of -27*a**4 + 172*a**2. What is o(t(j))?", "a": "-1296*j" }, { "q": "Let t(s) = 4458821*s**2. Let a(d) = -5*d**2. Determine a(t(r)).", "a": "-99405423550205*r**4" }, { "q": "Let z(d) be the second derivative of -23*d**3/6 + d + 62. Let w(o) = 29*o**2. Calculate w(z(c)).", "a": "15341*c**2" }, { "q": "Let f(v) = -6*v + v - 2*v. Let h(s) be the second derivative of -5*s**4/12 + 483*s. Determine h(f(m)).", "a": "-245*m**2" }, { "q": "Let n(s) be the second derivative of -42*s**3 - 185*s. Let p(i) = -2*i**2. Give p(n(x)).", "a": "-127008*x**2" }, { "q": "Let f(c) = c**2. Suppose -260 = u - 11*u. Let a(x) = 529 - 529 - u*x. What is a(f(q))?", "a": "-26*q**2" }, { "q": "Let t(r) = 129*r**2 + 1 + 3 - 4. Let p(j) = -j - 3. Let u(w) = -4*w - 9. Let m(n) = 3*p(n) - u(n). What is m(t(i))?", "a": "129*i**2" }, { "q": "Let y(g) = g. Suppose -56 = -p + 2*n + 170, 1120 = 5*p - 5*n. Suppose p = -2*j + 1096. Let k(t) = j*t - 437*t - 26*t**2. Calculate y(k(d)).", "a": "-26*d**2" }, { "q": "Let g(i) = 3*i**2 - 9*i. Let x be (46 + -2 - 5)/((-1)/(-1)). Let o(j) = -75 + x + 36 - j. What is o(g(m))?", "a": "-3*m**2 + 9*m" }, { "q": "Let l(c) = 27*c. Let v(y) = 32 + 25*y + 23 - 55. Let n(j) = -3*l(j) + 2*v(j). Let h(i) = 2*i**2. Determine h(n(k)).", "a": "1922*k**2" }, { "q": "Let o(f) = -502619*f. Let a(w) = -20*w. Determine a(o(v)).", "a": "10052380*v" }, { "q": "Suppose -5*f - 34 = -3*z, 4*z - 4 = 3*f + 23. Let u(g) = -z*g + g + 59 - 59. Let o(a) be the third derivative of a**5/12 + 18*a**2. Give o(u(b)).", "a": "20*b**2" }, { "q": "Let t(n) = -39853*n. Let o(u) = -10*u + 2. Give o(t(v)).", "a": "398530*v + 2" }, { "q": "Let g(c) = -27*c**2. Let m(z) = z**2. Let a(o) = g(o) + 18*m(o). Suppose 0 = -q + 44 - 28. Let i(v) = -8*v + q*v - 9*v. Determine i(a(h)).", "a": "9*h**2" }, { "q": "Let r(y) = 15*y. Let h(k) = -885*k**2 - 5*k + 443*k**2 - 2*k + 439*k**2. What is r(h(s))?", "a": "-45*s**2 - 105*s" }, { "q": "Let k(n) = 42*n**2. Let r(m) = m**2. Suppose 0 = -10*w - 60. Let q(j) = w*r(j) - k(j). Let l(h) = -2*h**2. Give q(l(u)).", "a": "-192*u**4" }, { "q": "Let u(z) = 93411*z + 2. Let h(a) = -a**2. Determine u(h(d)).", "a": "-93411*d**2 + 2" }, { "q": "Let r(j) = -52*j. Let c(o) = -49*o**2 - 22*o + 33. Let n(p) = 26*p**2 + 12*p - 18. Let d(u) = 6*c(u) + 11*n(u). Calculate d(r(a)).", "a": "-21632*a**2" }, { "q": "Let f(g) = 133*g**2. Let x(r) be the second derivative of -r**4/4 - 2*r - 13. What is f(x(c))?", "a": "1197*c**4" }, { "q": "Let h(o) = -2*o. Let b(m) = -m + 0*m + 1 + 2 - 5. Let l(c) = -c**2 + 6*c + 10. Let v be l(7). Let u(z) = -1. Let g(i) = v*b(i) - 6*u(i). Give g(h(a)).", "a": "6*a" }, { "q": "Let u(g) = -g**2. Let a(w) = 25711722*w. Determine a(u(h)).", "a": "-25711722*h**2" }, { "q": "Let k(f) = 740*f**2. Let d(b) = -14202*b. Give k(d(v)).", "a": "149255634960*v**2" }, { "q": "Let r(l) = 11*l**2. Let t(z) = 976900*z. Calculate r(t(x)).", "a": "10497669710000*x**2" }, { "q": "Let j(v) = -21*v**2. Let r(b) = 529732*b**2. What is j(r(p))?", "a": "-5892935828304*p**4" }, { "q": "Let n = 7225 - -28211. Let p(g) = -35436 + n + 27*g**2. Let x(a) = -2*a. What is x(p(o))?", "a": "-54*o**2" }, { "q": "Let w(j) = 5*j**2 - 309*j - 12. Let i(o) = 9*o**2 - 566*o - 22. Let c(f) = 6*i(f) - 11*w(f). Let m(h) = -h - 5*h + 4*h. What is m(c(n))?", "a": "2*n**2 - 6*n" }, { "q": "Let y(h) = -26*h**2. Let o = -146 + 150. Let v(a) = a + o - 15 + 11. What is v(y(i))?", "a": "-26*i**2" }, { "q": "Let u(q) be the second derivative of -19*q**4/3 + 981*q. Let k(g) = -16*g. Give u(k(y)).", "a": "-19456*y**2" }, { "q": "Let u(f) = f. Let t(x) = x**3 - 13*x**2 + 12*x + 5. Let a be t(12). Suppose -2*h + 26 = y, -a*y + 20 = -0*y. Let j(l) = 21*l - h*l - 7*l. Calculate j(u(p)).", "a": "3*p" }, { "q": "Let c(k) = 2228*k**2 - 1082*k**2 - 1100*k**2. Let f(v) be the first derivative of -2*v**3/3 + 3. Calculate f(c(l)).", "a": "-4232*l**4" }, { "q": "Let o(u) = -2*u**2 - 19. Let i(f) = -f**2 - 24802*f. What is i(o(d))?", "a": "-4*d**4 + 49528*d**2 + 470877" }, { "q": "Suppose 8*u - 2*u - 9888 = 0. Let v(p) = 1648*p - u*p - 72*p**2. Let z(o) = o**2. Give v(z(w)).", "a": "-72*w**4" }, { "q": "Let c(r) = 877*r**2. Let v(y) = 12*y. Let a(u) = -29*u. Let f(b) = -2*a(b) - 5*v(b). What is c(f(h))?", "a": "3508*h**2" }, { "q": "Let o(v) = -7*v - 6895. Let f(i) = 2*i - 30. Calculate f(o(q)).", "a": "-14*q - 13820" }, { "q": "Let n(p) = -4701 - 6*p**2 + 9396 - 4695. Let o(h) = 331*h. What is o(n(s))?", "a": "-1986*s**2" }, { "q": "Suppose -3*q = -15, 0*j - 1089 = -2*j - 3*q. Let z be 1074*(-6)/(-24)*2. Let f(k) = -j + 18*k**2 + z. Let g(i) = 2*i**2. Determine g(f(x)).", "a": "648*x**4" }, { "q": "Let p(h) be the third derivative of 1/30*h**5 + 0*h**3 + 1 + 11*h**2 + 0*h**4 + 0*h. Let i(d) = -38*d. Determine i(p(b)).", "a": "-76*b**2" }, { "q": "Let n(i) = -2*i. Let o(c) = 2 + 2*c + 0 - 4 + 3. Let j(g) = -2. Let t(m) = 3*j(m) - o(m). What is t(n(s))?", "a": "4*s - 7" }, { "q": "Let x(n) be the third derivative of -2*n**5/15 + 1825*n**2. Let b(i) = 0*i**2 + 3*i**2 + 2*i**2. Give b(x(o)).", "a": "320*o**4" }, { "q": "Let o(c) be the first derivative of c**2/2 + 8*c + 807. Let a(u) = 7*u. Calculate a(o(y)).", "a": "7*y + 56" }, { "q": "Let x(j) = j + 9. Let w(i) = -2*i - 15. Let h(p) = -6*w(p) - 10*x(p). Let b(o) = -1909*o. Calculate b(h(c)).", "a": "-3818*c" }, { "q": "Let l(h) = -3*h + 30. Let b(y) = 48*y - 495. Let s(f) = -2*b(f) - 33*l(f). Let x(m) = -2*m**2 + 171*m. Give s(x(o)).", "a": "-6*o**2 + 513*o" }, { "q": "Let r(c) = 88*c**2 - 5*c. Let q(h) = -396*h - 400*h - 398*h + 1192*h. Calculate q(r(y)).", "a": "-176*y**2 + 10*y" }, { "q": "Let x(r) be the first derivative of -1 + 0*r + 5/2*r**2. Let p(m) = -8 + 14 - 6 + 2*m. Determine p(x(l)).", "a": "10*l" }, { "q": "Let x(y) = 221*y - 53*y**2 - 221*y + 73*y**2. Let m(a) = -a. What is m(x(f))?", "a": "-20*f**2" }, { "q": "Let n(f) = -12*f**2. Let r(x) = -61*x + 321 - 4*x - 159 - 161. Give r(n(v)).", "a": "780*v**2 + 1" }, { "q": "Let g(x) = 74 + 8*x - 74 + 16*x. Let j(l) be the third derivative of l**5/60 + 18*l**2. What is g(j(c))?", "a": "24*c**2" }, { "q": "Let z(o) = o. Let c(t) = 32*t - 9*t - 20*t - 103*t - 57*t. What is c(z(w))?", "a": "-157*w" }, { "q": "Let l(q) = 2*q - 3*q - q + q. Let i(g) be the second derivative of g**3/6 + 29*g. Let p(o) = -12*o. Let u(v) = -27*i(v) - 2*p(v). What is u(l(s))?", "a": "3*s" }, { "q": "Let l(p) be the second derivative of p**6/180 - 7*p**4/12 - 73*p. Let y(j) be the third derivative of l(j). Let i(a) = 13*a. Calculate i(y(f)).", "a": "52*f" }, { "q": "Let n(m) = -685387*m**2 - m. Let d(r) = r. What is n(d(k))?", "a": "-685387*k**2 - k" }, { "q": "Let z(t) = 457*t**2 - 2*t - 1. Let d(l) = 6*l - 4. Calculate d(z(j)).", "a": "2742*j**2 - 12*j - 10" }, { "q": "Let c(i) = -i**2. Let z(h) be the third derivative of -h**4/24 - 20*h**3/3 + 1576*h**2. Give c(z(o)).", "a": "-o**2 - 80*o - 1600" }, { "q": "Let d(j) = -3*j. Let c(w) be the third derivative of -3*w**4/4 - w**3/2 - 2*w**2 - 240. Give c(d(b)).", "a": "54*b - 3" }, { "q": "Let d(x) = -4. Let w(y) = 1. Let o(g) = d(g) + 3*w(g). Let h(p) = -82 + 40 + 3*p - p + 46. Let j(t) = h(t) + 4*o(t). Let m(z) = 11*z**2. Determine m(j(f)).", "a": "44*f**2" }, { "q": "Let l(k) = 7900231*k**2. Let v(z) = z**2. Calculate v(l(j)).", "a": "62413649853361*j**4" }, { "q": "Let p(m) = -18*m. Let z = 33 - 26. Let l(f) = -f**2 - 4*f**2 + 14*f**2 - z*f**2. Determine p(l(b)).", "a": "-36*b**2" }, { "q": "Let r(n) = 5*n. Let f(s) = 58939*s**2 - 7*s + 2. Determine r(f(b)).", "a": "294695*b**2 - 35*b + 10" }, { "q": "Let k(g) be the first derivative of -23 + 0*g + 0*g**2 + 2/3*g**3. Let c(r) = -3*r**2 + 4. Calculate c(k(f)).", "a": "-12*f**4 + 4" }, { "q": "Suppose 0 = 4*f - 3*v - 52, 0 = 4*f + 5*v - 33 - 19. Let z(a) = -2*a - 9*a + a + f*a. Let l(c) be the third derivative of -c**4/24 - 3*c**2. Give l(z(o)).", "a": "-3*o" }, { "q": "Let n(m) = -20*m. Let q(w) = 27*w. Let k(l) = 4*n(l) + 3*q(l). Let b(z) = z**2 + 29. Calculate k(b(t)).", "a": "t**2 + 29" }, { "q": "Let k(s) = -14*s**2 + 24163. Let a(h) = -2*h**2. What is k(a(f))?", "a": "-56*f**4 + 24163" }, { "q": "Let r(l) = -18*l. Let j(o) = 2303*o + 10. Give j(r(n)).", "a": "-41454*n + 10" }, { "q": "Let w(x) = 40*x**2. Let a(l) = 8*l + 48. Let i be a(-7). Let k(t) = 2*t**2 + 8*t. Let y(f) = f**2 + 3*f. Let o(j) = i*y(j) + 3*k(j). What is w(o(g))?", "a": "160*g**4" }, { "q": "Let l(m) = 67*m. Suppose 5*b - y = 53, 11*y - 6*y = 2*b - 35. Let h(q) = 10*q - b*q + q. Determine h(l(o)).", "a": "67*o" }, { "q": "Let p(b) = -b**2. Let k(a) be the third derivative of -293*a**5/60 + 6*a**2 + 99*a. Calculate p(k(g)).", "a": "-85849*g**4" }, { "q": "Let n(b) = 118 - 118 - 2*b**2. Let x(u) = 19*u + 5. Let i(k) = -23*k - 6. Let w(m) = 5*i(m) + 6*x(m). Give w(n(z)).", "a": "2*z**2" }, { "q": "Let c(f) = 3*f + 567. Let j(s) = -2*s - 288. Let d(v) = 3*c(v) + 5*j(v). Let k(l) = l**2. Calculate d(k(b)).", "a": "-b**2 + 261" }, { "q": "Let n(m) = -41*m**2 + 16*m + 2. Let v(x) = -7912*x**2 + 3096*x + 387. Let d(y) = 387*n(y) - 2*v(y). Let s(i) = -i - 16. Determine s(d(w)).", "a": "43*w**2 - 16" }, { "q": "Let q(y) be the third derivative of y**5/60 - 10*y**2. Let i be 3*(4/(-12) - -1). Let l(b) = 13*b**2 - 2*b**2 - 26*b**i. Calculate l(q(u)).", "a": "-15*u**4" }, { "q": "Let v(z) = 9*z - 11. Let x(y) = -5*y + 6. Let m(p) = 6*v(p) + 11*x(p). Let f(s) be the second derivative of 73*s**4/12 - 529*s. Give m(f(i)).", "a": "-73*i**2" }, { "q": "Let i(o) = -o. Let u(x) = 6*x**2 - 40*x - 4*x**2 + 89*x + 29*x. Calculate i(u(a)).", "a": "-2*a**2 - 78*a" }, { "q": "Let r(i) = i + 2*i - 4*i - i. Let n(g) = 9*g. Let s(d) = 55*d. Suppose -c + 45 - 12 = -k, 3*k + 3*c = -105. Let u(j) = k*n(j) + 6*s(j). Give u(r(l)).", "a": "-48*l" }, { "q": "Let v(d) = 86*d + 178 - 273*d + 87*d + 99*d. Let o(q) = 2*q. What is o(v(u))?", "a": "-2*u + 356" }, { "q": "Let g(r) be the third derivative of 3/8*r**4 + 0*r + 2*r**2 + 0*r**3 - 13. Let t(k) = 2*k**2. Calculate g(t(m)).", "a": "18*m**2" }, { "q": "Let j(w) = -4*w**2 - 3*w**2 - 3*w**2. Let v(r) be the first derivative of -7*r**2 + 86 + 9*r**2 - 3*r**2. What is v(j(k))?", "a": "20*k**2" }, { "q": "Let q(d) = 2*d + 11. Let h(f) = -290*f - 1914. Let o(g) = h(g) + 174*q(g). Let a(n) = 16*n. Give a(o(x)).", "a": "928*x" }, { "q": "Let r(o) = o**2. Let k(u) = u**3 - 5*u**2 - 15*u + 9. Let s be k(7). Let d(c) = 9*c**2 - 29*c**s + 19*c**2. Give d(r(i)).", "a": "-i**4" }, { "q": "Let f(u) = -144*u**2 - 33. Let z(x) = -9*x**2 - 2. Let r(t) = 2*f(t) - 33*z(t). Let d(j) = 13*j**2 - 8*j**2 + 3*j**2. What is r(d(c))?", "a": "576*c**4" }, { "q": "Let w(x) = -x + x - 13357*x**2 + 13374*x**2. Let m(v) = -10*v**2. What is w(m(k))?", "a": "1700*k**4" }, { "q": "Let h(i) = -7*i - 1. Let g(f) be the third derivative of f**3/6 + 3*f**2 + 18*f. Let k(s) = g(s) + h(s). Let v(z) = -10*z**2. What is k(v(m))?", "a": "70*m**2" }, { "q": "Let q(z) = -6*z. Let p(h) = 215*h + 198*h - 64*h - 5*h - 62*h. Give p(q(m)).", "a": "-1692*m" }, { "q": "Let p(w) = -65*w. Let j(s) = s**3 + 7*s**2 - 10*s - 7. Let u be j(-8). Let c(l) = -16*l. Let k(q) = u*c(q) - 2*p(q). Let h(x) = x**2. Determine h(k(z)).", "a": "196*z**2" }, { "q": "Let l(x) = x**2 - 75338*x. Let j(r) = -46*r. Give l(j(g)).", "a": "2116*g**2 + 3465548*g" }, { "q": "Let b(k) = 5388*k + 36. Let j(a) = 6*a. What is b(j(d))?", "a": "32328*d + 36" }, { "q": "Let r(u) be the third derivative of u**5/30 - 2*u**2 - u. Suppose 3*g - 2*w = g, -3*w = -9. Let y(z) = -z + g - 3. Give r(y(q)).", "a": "2*q**2" }, { "q": "Let n(m) = m**2 + 5*m + 2. Let b be n(-5). Let o = -366 + 374. Let q(d) = -21*d + 13*d + o*d + 14*d**b. Let c(x) = -2*x**2. Calculate c(q(s)).", "a": "-392*s**4" }, { "q": "Let h(s) = 606*s**2 + 607*s**2 + 611*s**2 - 1822*s**2. Suppose -1 - 9 = -5*a. Let r(g) = -a*g + g + 18*g. Calculate r(h(u)).", "a": "34*u**2" }, { "q": "Let j(t) = 2*t - 13*t + 3*t + 4*t. Let l(p) be the first derivative of 0*p + 7/3*p**3 - 7 + 0*p**2. Give j(l(s)).", "a": "-28*s**2" }, { "q": "Let j(y) = -25709*y. Let x(h) = -315*h**2. Determine x(j(s)).", "a": "-208200094515*s**2" }, { "q": "Let k(n) = -93802*n**2. Let d(x) = 225*x**2. What is d(k(t))?", "a": "1979733420900*t**4" }, { "q": "Let x(l) = -11*l. Let y(q) = -137*q - 148. Determine x(y(h)).", "a": "1507*h + 1628" }, { "q": "Let v(m) be the first derivative of -2/3*m**3 + 74 - 36*m + 0*m**2. Let y(j) = -j**2. Give v(y(c)).", "a": "-2*c**4 - 36" }, { "q": "Let i = 44 + -42. Let n(j) = -j + 0*j + i*j + j. Let w(q) = 0*q + 22 - 22 + 2*q. What is w(n(c))?", "a": "4*c" }, { "q": "Let i = -100 - -102. Let t(q) = 27*q**2 + 34 - 10*q**i - 4*q**2 - 12*q**2. Let b(d) = -d**2. Calculate b(t(s)).", "a": "-s**4 - 68*s**2 - 1156" }, { "q": "Let d(i) = 7*i**2. Let r(c) = 2943437*c. Calculate d(r(x)).", "a": "60646749610783*x**2" }, { "q": "Let d(i) = -6*i. Let f(w) be the third derivative of w**4/6 + 11*w**3/3 + 207*w**2. What is f(d(a))?", "a": "-24*a + 22" }, { "q": "Let c(u) = -u - 2*u - 3*u. Let w(d) be the second derivative of d**5/60 + 3*d**3/2 + 21*d. Let s(o) be the second derivative of w(o). What is s(c(x))?", "a": "-12*x" }, { "q": "Let z(t) = 2217*t**2 + 2215*t**2 - 4447*t**2. Let j(i) = -8*i**2. What is j(z(y))?", "a": "-1800*y**4" }, { "q": "Let w(y) = 300*y + 308*y + 292*y - 886*y - 6. Let n(h) = 4*h**2. Give w(n(q)).", "a": "56*q**2 - 6" }, { "q": "Let n(b) = 322*b. Let t(h) = -5*h**2 - h - 52. Calculate t(n(s)).", "a": "-518420*s**2 - 322*s - 52" }, { "q": "Let d(z) = -z**2 + 3*z**2 + 0*z**2. Let c(j) = 1485*j. What is c(d(q))?", "a": "2970*q**2" }, { "q": "Suppose -n = n. Let i(k) = -3*k + 2*k + n*k. Let y(a) = 14*a + 217. Let d(t) = 14*t + 186. Let j(s) = 7*d(s) - 6*y(s). Calculate i(j(v)).", "a": "-14*v" }, { "q": "Let h(d) = 330*d**2 + 310*d**2 - 637*d**2. Let w(z) = -260*z. Give w(h(f)).", "a": "-780*f**2" }, { "q": "Let z(m) = -1791299*m. Let g(p) = 5*p. Determine g(z(h)).", "a": "-8956495*h" }, { "q": "Let r(x) = -116*x**2 + 31*x - 2. Let o(i) = -162*i. What is r(o(n))?", "a": "-3044304*n**2 - 5022*n - 2" }, { "q": "Let x(t) = 12*t. Let n(h) = 2695*h**2 + 46*h. What is x(n(m))?", "a": "32340*m**2 + 552*m" }, { "q": "Let a(h) = 9*h + 13. Let p(b) = -5 + 3*b - 5*b + 2. Let s(k) = 6*a(k) + 26*p(k). Let q(j) = -6570*j + 3233*j + 3326*j. Calculate s(q(w)).", "a": "-22*w" }, { "q": "Suppose 0 = 16*v - 777 + 745. Let z be (-2)/5 + (-24)/(-10). Let n(k) = 7 + v*k**2 + z - 9. Let f(q) = 17*q**2. Determine n(f(y)).", "a": "578*y**4" }, { "q": "Let r(h) be the first derivative of h**3/3 + 1. Let k be 4 + (-12)/(-9)*3/(-2). Let b(n) = 19518*n**2 + 2 - 2 - 19522*n**k. What is r(b(o))?", "a": "16*o**4" }, { "q": "Let b(m) be the second derivative of 11*m**4/12 - 7*m. Let z = -67 + 85. Let u(r) = -38*r**2 + z*r**2 + 18*r**2. What is b(u(f))?", "a": "44*f**4" }, { "q": "Let m(x) be the second derivative of x**6/360 + 17*x**4/4 + 75*x. Let h(r) be the third derivative of m(r). Let u(s) = 0*s - 5*s + 3*s. What is u(h(z))?", "a": "-4*z" }, { "q": "Let g(k) = 6*k - 20388. Let j(v) = -22*v + 1. Give g(j(q)).", "a": "-132*q - 20382" }, { "q": "Let d(j) = j. Let n(x) = 19970*x - 12. Calculate d(n(l)).", "a": "19970*l - 12" }, { "q": "Let c(n) be the first derivative of 12*n**2 + 100. Let b(t) = -t**2 - 6*t - 6. Let g be b(-4). Let s(k) = 0*k**2 - 7*k**2 + k**g + 7*k**2. Calculate s(c(a)).", "a": "576*a**2" }, { "q": "Let s(c) = -2*c**2. Let n(r) = 9745367*r**2. Calculate s(n(g)).", "a": "-189944355929378*g**4" }, { "q": "Let f(n) = n**2. Let q be ((-64)/(-12))/4*(-6)/(-4). Suppose -4*p - 5*m = q + 15, 13 = 4*p - m. Let h(t) = t**2 - 4*t**p - 65 + 65. Calculate h(f(g)).", "a": "-3*g**4" }, { "q": "Let c(m) = 593*m**2. Let w(r) = 16*r**2 - 42*r + 6. Let t(b) = -18*b**2 + 49*b - 7. Let f(y) = 6*t(y) + 7*w(y). Calculate f(c(p)).", "a": "1406596*p**4" }, { "q": "Let t = 544 - -2708. Let h(j) = -j**2 + 3252 - t. Let g(p) = 4*p**2. Let x(v) = v**2. Let m(c) = g(c) - 12*x(c). Calculate h(m(z)).", "a": "-64*z**4" }, { "q": "Let g(o) be the second derivative of 5/24*o**4 - 15*o + 0 + 0*o**3 - 7/2*o**2. Let s(n) be the first derivative of g(n). Let b(t) = -2*t. Determine s(b(z)).", "a": "-10*z" }, { "q": "Let a(r) = 10*r. Let d(c) = c. Let i(f) = 3*f. Suppose 5*w + s = -4*s + 10, 0 = -2*s. Let u(j) = w*i(j) - 7*d(j). Give a(u(y)).", "a": "-10*y" }, { "q": "Let q(b) = -b. Let h(f) = 4022*f - 55. What is q(h(k))?", "a": "-4022*k + 55" }, { "q": "Let j(s) = 2*s**2 + 27*s + 10. Let v be j(-18). Let t be (v/(0 + 2))/2. Let l(c) = c**2 - 25*c + t*c - 18*c. Let q(k) = -15*k**2. Calculate l(q(f)).", "a": "225*f**4" }, { "q": "Let n(f) = 2549*f. Let o(u) = 128 - 42 + 2*u - 42 - 44. Determine n(o(p)).", "a": "5098*p" }, { "q": "Let l(o) = 33*o - 44*o + 33*o - 61*o + 41*o. Let a(r) = 26*r - 2. Calculate a(l(t)).", "a": "52*t - 2" }, { "q": "Let k(i) = -2*i**2. Let y(d) = -6113807*d + 1. What is y(k(l))?", "a": "12227614*l**2 + 1" }, { "q": "Let a(k) = 8*k**2. Let u(h) be the second derivative of -h**3/3 + 8*h**2 - 2*h - 84. Determine a(u(z)).", "a": "32*z**2 - 512*z + 2048" }, { "q": "Let a(n) = n**2 - 2*n**2 + 5*n**2. Let x(p) be the second derivative of p + 5 + 0*p**2 + 1/6*p**4 + 0*p**3. What is a(x(t))?", "a": "16*t**4" }, { "q": "Let y(c) = c**2. Let w = -102 - -105. Let n(h) = 5*h - 18*h - w*h + 0*h. Determine n(y(q)).", "a": "-16*q**2" }, { "q": "Let x(g) be the first derivative of -16*g**3/3 - 11. Let o(k) = 31*k - 6*k - 12*k - 12*k. Give x(o(v)).", "a": "-16*v**2" }, { "q": "Let n(c) = -2*c + 3*c + 6*c + 4 - 3*c. Let s(p) = 12*p + 11. Let t(v) = 11*n(v) - 4*s(v). Let h(m) = -38*m - 14*m**2 + 38*m + 16*m**2. Determine t(h(f)).", "a": "-8*f**2" }, { "q": "Let v(y) be the third derivative of y**6/72 + 7*y**3 + y**2 + 27*y. Let l(t) be the first derivative of v(t). Let a(p) = -p. Give a(l(b)).", "a": "-5*b**2" }, { "q": "Let j(t) = 102*t**2. Let m(v) be the second derivative of v**4/12 + 35*v**2 + v + 16. Let r(x) be the first derivative of m(x). Calculate j(r(c)).", "a": "408*c**2" }, { "q": "Let o = 18 - 12. Let z(c) = -o*c - c + 0*c. Let b(h) be the third derivative of -h**5/30 - 4*h**2 + h + 3. Determine b(z(f)).", "a": "-98*f**2" }, { "q": "Let r(j) = -2*j + 2. Let u(n) = 6*n - 3. Let q(v) = -2*r(v) - 2*u(v). Let g(m) = -2*m**2 + 213*m - 213*m. What is q(g(s))?", "a": "16*s**2 + 2" }, { "q": "Let f(i) = 437665*i**2. Let m(z) = 25*z**2. Calculate m(f(n)).", "a": "4788766305625*n**4" }, { "q": "Let t(g) = -g - g - 3*g + 6*g. Let v(f) = 17*f + 277. Let l(z) = 11*z + 174. Let n(s) = 8*l(s) - 5*v(s). Give n(t(m)).", "a": "3*m + 7" }, { "q": "Let r = 2525 + 103. Let t be (-3)/5 - r/(-5). Let j(b) = 15*b - 525 + t. Let p(g) = -g**2. Calculate j(p(d)).", "a": "-15*d**2" }, { "q": "Let p(c) = -8*c - 4. Let y(v) = 3*v + 14772. What is p(y(i))?", "a": "-24*i - 118180" }, { "q": "Let l(x) = 3*x - 536. Let v(m) = -74*m + 13. What is v(l(u))?", "a": "-222*u + 39677" }, { "q": "Let y(g) = -4*g**2. Let n(c) = -54135*c**2. Calculate y(n(h)).", "a": "-11722392900*h**4" }, { "q": "Let z(i) = 2*i. Let x(a) = -15251436*a. Determine z(x(w)).", "a": "-30502872*w" }, { "q": "Let r(l) = -l. Let q(m) = -515*m**2 + 2*m - 2. Let f(i) = 649935*i**2 - 2525*i + 2525. Let p(k) = 2*f(k) + 2525*q(k). Calculate r(p(y)).", "a": "505*y**2" }, { "q": "Let t(i) be the third derivative of -i**6/18 - 47*i**3/6 - 7*i**2 - 6*i. Let v(q) be the first derivative of t(q). Let w(o) = 6*o. Determine w(v(n)).", "a": "-120*n**2" }, { "q": "Let l(n) = -430*n - 2. Let c(b) = 6*b + 4*b - 18*b + 4*b + 6*b. Give l(c(v)).", "a": "-860*v - 2" }, { "q": "Let i(w) = -25*w - 9 + w - 14*w - 29*w. Let r(z) = z. Calculate i(r(n)).", "a": "-67*n - 9" }, { "q": "Suppose -5*z = 4*d + 5, -2*z = 5*d + 8 + 11. Let q(t) = 3 - 3*t**2 - z. Let n(j) = -j**2 - 123*j - 47*j + 404*j - 117*j - 117*j. Calculate q(n(h)).", "a": "-3*h**4" }, { "q": "Let k(l) = -31*l. Let j be 1 + (-3 - 2) + 6. Let r(g) = 2651 - 2651 - g**2 + 2*g**j. What is r(k(y))?", "a": "961*y**2" }, { "q": "Let n(l) = 2*l**2. Let i(t) = 1014056*t. What is n(i(j))?", "a": "2056619142272*j**2" }, { "q": "Let f(l) = 6*l + 2. Let r(g) = -107*g - 103*g + 320*g - 103*g. What is r(f(j))?", "a": "42*j + 14" }, { "q": "Let d(x) = -12*x**2 - 5*x + 5. Let h(a) = -17*a**2 - 7*a + 7. Let w(k) = -7*d(k) + 5*h(k). Let g(m) = 519*m**2. Give g(w(p)).", "a": "519*p**4" }, { "q": "Let a(l) be the third derivative of l**5/30 + 78*l**2. Let k(w) = -w**2 - 34. Calculate a(k(j)).", "a": "2*j**4 + 136*j**2 + 2312" }, { "q": "Let j(k) = 2*k**2 - 1. Let q(c) be the first derivative of c**4/12 + 9*c**2/2 + 2*c - 19. Let a(z) be the second derivative of q(z). Determine j(a(i)).", "a": "8*i**2 - 1" }, { "q": "Let m(y) = 3*y - 51. Let h(x) be the first derivative of -x**2/2 - 1104. Give h(m(j)).", "a": "-3*j + 51" }, { "q": "Let i(l) = 7*l - 7*l + 40*l**2 + 0*l + 0*l. Let u(k) = 7*k - 2*k - 4*k. Give i(u(d)).", "a": "40*d**2" }, { "q": "Let f(v) = v**2. Let s(q) be the first derivative of -q**4/24 - 9*q**2 - 61. Let w(o) be the second derivative of s(o). Give w(f(j)).", "a": "-j**2" }, { "q": "Suppose 0 = b - 3 - 2. Let m(w) = w + b - 3 - 2. Let f(d) = -11*d**2 - 3*d - 6. Let i(p) = 120*p**2 + 32*p + 64. Let a(l) = 32*f(l) + 3*i(l). What is a(m(h))?", "a": "8*h**2" }, { "q": "Let f(b) = -12*b**2 - 7*b**2 + 37005 - 37009. Let x(g) = g**2. Determine x(f(z)).", "a": "361*z**4 + 152*z**2 + 16" }, { "q": "Let u(q) = -234 - 13*q - 39*q + 234. Let b(i) = 5*i. Give b(u(s)).", "a": "-260*s" }, { "q": "Let b(u) = -328*u - 22. Let o(s) = 329*s**2. Calculate b(o(x)).", "a": "-107912*x**2 - 22" }, { "q": "Let d(b) = -b**2. Let x(g) be the first derivative of -g**3/2 + 24*g + 3. Let t(j) be the first derivative of x(j). Determine d(t(z)).", "a": "-9*z**2" }, { "q": "Suppose -2*t + 698 = -3*x, 0 = 2*t - 6*t - 5*x + 1396. Let z(k) = -9*k + t - 349. Let b(r) = r. What is b(z(o))?", "a": "-9*o" }, { "q": "Let m(r) = -152*r**2. Let w(b) = 3096*b**2 + 2*b - 2. What is w(m(f))?", "a": "71529984*f**4 - 304*f**2 - 2" }, { "q": "Let i(t) be the third derivative of -62*t**2 + 0*t**3 + 0 + 1/3*t**4 + 0*t. Let j(y) = -3*y. Give j(i(z)).", "a": "-24*z" }, { "q": "Let p(s) = -10*s. Let x(l) = 114*l**2 - 1168*l. Calculate x(p(t)).", "a": "11400*t**2 + 11680*t" }, { "q": "Let n(v) be the third derivative of -7*v**5/15 - 357*v**2. Let u(f) = 5*f**2. Give n(u(j)).", "a": "-700*j**4" }, { "q": "Let a(h) = 18*h**2. Let j(k) be the third derivative of k**8/6720 + k**5/10 + 57*k**2. Let q(r) be the third derivative of j(r). Give a(q(n)).", "a": "162*n**4" }, { "q": "Let i(r) be the first derivative of -37/2*r**2 + 0*r - 11. Let k(d) be the first derivative of -d**2 + 1. What is k(i(b))?", "a": "74*b" }, { "q": "Let j(u) = 203*u**2. Let y(v) = -409*v**2 - 377*v**2 + 785*v**2. Give y(j(n)).", "a": "-41209*n**4" }, { "q": "Let w(h) = h**2 - h. Let y(i) = -5*i**2 + 3*i. Let x be -6*-1*5/10. Suppose -x*m = 3*m + 18. Let q(c) = m*w(c) - y(c). Let n(z) = -8*z. Determine q(n(u)).", "a": "128*u**2" }, { "q": "Let k(q) = -1126290*q. Let p(t) = -3*t**2. What is p(k(f))?", "a": "-3805587492300*f**2" }, { "q": "Let w(a) = 18*a**2. Let b(n) = 45*n - 135*n + 54*n + 55*n. Calculate b(w(c)).", "a": "342*c**2" }, { "q": "Let y(s) = -2908*s - 3055*s + 5273*s. Let o(z) = -2*z. Determine o(y(i)).", "a": "1380*i" }, { "q": "Let t(r) = 2 + 5 - 7 - r. Let c(d) be the first derivative of -14*d**3/3 + 45. Determine c(t(k)).", "a": "-14*k**2" }, { "q": "Let o(t) be the third derivative of 4*t**7/315 + t**4/6 - 10*t**2 + 1. Let m(z) be the second derivative of o(z). Let b(v) = -v**2. What is b(m(d))?", "a": "-1024*d**4" }, { "q": "Let b = -2135 + 2138. Let j(r) be the first derivative of 14 + 0*r - 5/3*r**b + 0*r**2. Let a(d) = -4*d**2. Calculate j(a(i)).", "a": "-80*i**4" }, { "q": "Let h(o) = 7*o - 10. Let n(z) = 4*z - 6. Let r(g) = 6*h(g) - 10*n(g). Let b(i) = -i. Let v(x) = 8*b(x) + 3*r(x). Let a(p) = 23*p**2. Determine a(v(c)).", "a": "92*c**2" }, { "q": "Let i(p) be the third derivative of -p**5/5 - 2*p**3/3 - 2*p**2 - 181. Let g(u) = 7 - 10 + u + 3. Determine g(i(m)).", "a": "-12*m**2 - 4" }, { "q": "Let b(i) = -2*i**2. Let x(g) = -10515164*g**2. Calculate x(b(v)).", "a": "-42060656*v**4" }, { "q": "Let b(u) be the first derivative of u**4/12 + 37*u**2/2 + 31. Let s(x) be the second derivative of b(x). Let w(f) = -3*f. What is s(w(a))?", "a": "-6*a" }, { "q": "Let n = 103 - -33. Let z(h) = -h + n - 298 + 145. Let o(x) = x. What is z(o(d))?", "a": "-d - 17" }, { "q": "Let v(i) = -2*i. Let m = -5 - -2. Let w(f) = f. Let n(p) = -35*p. Let d(l) = m*n(l) - 120*w(l). What is d(v(k))?", "a": "30*k" }, { "q": "Suppose -2*p = 2*p + 36. Let h(s) = -s + 9. Let f(c) = -c + 4. Let r(g) = p*f(g) + 4*h(g). Let w(x) be the first derivative of x**2/2 - 2709. Give r(w(y)).", "a": "5*y" }, { "q": "Let s(q) be the second derivative of 39*q**4/2 + 7*q + 72. Let o(k) = 5*k**2. Determine o(s(r)).", "a": "273780*r**4" }, { "q": "Let l(i) be the second derivative of -11*i**3/3 - 6*i. Let d(n) = -6*n**2 - 11*n + 11. Let k(b) = -2*b**2 - 4*b + 4. Let h(z) = 4*d(z) - 11*k(z). Give h(l(u)).", "a": "-968*u**2" }, { "q": "Let m(y) = 10*y**2 - 7. Let d(p) = 3*p**2 - 2. Suppose 2*w = 0, 4*w + 7 = -5*n - 28. Let q(r) = n*d(r) + 2*m(r). Let j(x) = -21*x**2. What is q(j(a))?", "a": "-441*a**4" }, { "q": "Let h(w) = -2*w**2. Let i = 128 + -126. Let v(n) = 2*n**i - 7*n**2 - n**2 - 5*n**2. Calculate h(v(p)).", "a": "-242*p**4" }, { "q": "Let z(t) = 2379505*t**2 + t. Let x(f) = f. Determine x(z(j)).", "a": "2379505*j**2 + j" }, { "q": "Let c(f) = 18*f. Let l(x) be the second derivative of x**3/3 + 59*x. Calculate c(l(s)).", "a": "36*s" }, { "q": "Let w(g) = 28*g**2. Let k(f) be the second derivative of f**4/24 - 4*f**2 + 12*f. Let h(u) be the first derivative of k(u). What is h(w(z))?", "a": "28*z**2" }, { "q": "Let z(s) be the second derivative of 2 + 0*s**3 + s - 1/3*s**4 + 0*s**2. Let n(b) = -5*b. Determine n(z(v)).", "a": "20*v**2" }, { "q": "Let x(q) = 13*q + 1. Let g(k) = 4079*k**2 + 2*k. Determine x(g(d)).", "a": "53027*d**2 + 26*d + 1" }, { "q": "Suppose 4*s - 996 = 2*n, 3*s + 2*n = 1043 - 289. Let b(j) = s - j**2 - 250 - j**2. Let v(g) = 6*g + 0*g - 3*g. Calculate b(v(h)).", "a": "-18*h**2" }, { "q": "Let t be 2*(153/34 + 3/(-1)). Let p(j) = 31756*j - 31756*j - t*j**2. Let d(u) = -30*u. What is d(p(q))?", "a": "90*q**2" }, { "q": "Let b(q) = 1427*q. Let p(y) be the third derivative of -y**5/60 - 213*y**2. Determine p(b(k)).", "a": "-2036329*k**2" }, { "q": "Let y(m) = -94*m. Let r(w) = -217380*w**2. What is r(y(j))?", "a": "-1920769680*j**2" }, { "q": "Let r(a) = 2*a - 1. Let f(n) = 11*n**2 + 88*n - 44. Let p(c) = f(c) - 44*r(c). Let y(w) = -3*w**2 + 4*w**2 + 0*w**2. Determine p(y(k)).", "a": "11*k**4" }, { "q": "Let t(z) = -29*z. Let n = 3417 + -3411. Let v(h) be the second derivative of 1/6*h**4 + n*h + 0*h**2 + 0 + 0*h**3. Determine t(v(d)).", "a": "-58*d**2" }, { "q": "Let f(c) = 10533*c - 10517*c + 1 + 0. Let x(z) be the first derivative of -z**3 - 2. Calculate f(x(l)).", "a": "-48*l**2 + 1" }, { "q": "Let c(t) = 5*t. Let o(s) = -12*s + 19. Let z(d) = 43*d - 59. Let f(k) = 7*o(k) + 2*z(k). Determine c(f(m)).", "a": "10*m + 75" }, { "q": "Let j(w) = -2*w**2. Let p(v) = -24. Suppose -4*r = -4*i - 76 - 12, -2*i - 2*r = 52. Let z(m) = m + 2 - 2*m - 1. Let c(l) = i*z(l) - p(l). What is j(c(x))?", "a": "-1152*x**2" }, { "q": "Let h(d) = -2*d. Let c(a) be the second derivative of -119*a**3/6 - a**2/2 - 68*a - 2. Determine c(h(p)).", "a": "238*p - 1" }, { "q": "Let r(w) = 0 + 0 - w + 6. Let z(l) = 2. Let d(y) = -r(y) + 3*z(y). Let p(v) = -27*v. Let s(q) = -14*q. Let k(h) = 4*p(h) - 9*s(h). Calculate d(k(j)).", "a": "18*j" }, { "q": "Let p(s) = s. Suppose 3*v - 6 = 0, 4*d = -3*v + 14 - 0. Let a(l) = -d - 4 + 7 + 7*l + 15*l. Calculate p(a(r)).", "a": "22*r + 1" }, { "q": "Let t(h) be the third derivative of -h**4/12 - 525*h**2. Let c(y) = 7*y - 51. Let i(s) = 8*s - 51. Let f(j) = -6*c(j) + 5*i(j). Give f(t(n)).", "a": "4*n + 51" }, { "q": "Let f(a) = -1365 - 1116*a + 1365. Let b(o) = -o. Determine b(f(m)).", "a": "1116*m" }, { "q": "Let r(s) = -25*s. Let j(p) = -15*p - 108. Let k(v) = -v + 18. Let n(w) = -j(w) - 6*k(w). Give n(r(z)).", "a": "-525*z" }, { "q": "Let b(w) be the third derivative of 207*w**4/8 - 14*w**2 - 5*w. Let d(h) = h**2. Give b(d(f)).", "a": "621*f**2" }, { "q": "Let f(n) be the first derivative of 11*n**5/30 - n**4/8 - 19*n**2 + 19. Let q(k) be the second derivative of f(k). Let r(c) = -2*c**2. What is r(q(d))?", "a": "-968*d**4 + 264*d**3 - 18*d**2" }, { "q": "Let n(d) = -2*d**2 - 19. Let k(a) = 190*a - 220. Let o(h) = -7*h + 8. Let w(l) = 4*k(l) + 110*o(l). Give w(n(i)).", "a": "20*i**2 + 190" }, { "q": "Let a(d) = -23*d. Let l(m) = -19*m + 21. Let f(c) = 9*c + 2. Let s(i) = -2*f(i) - l(i). Determine a(s(k)).", "a": "-23*k + 575" }, { "q": "Let o(x) = 38*x. Let q(t) = 43 - 82 + 39 + 12*t. Let j(b) = -5*o(b) + 16*q(b). Let s(w) = -2*w - 4. What is j(s(i))?", "a": "-4*i - 8" }, { "q": "Let a(x) = -6*x**2. Let h be ((-9 + -1)/30)/(6/(-9)). Let s(y) be the second derivative of -h*y**4 + 0*y**3 + 8*y + 0 + 0*y**2. Give a(s(l)).", "a": "-216*l**4" }, { "q": "Let d(p) = -3*p**2 - 5*p**2 + 2*p**2. Let l = -34 - -39. Let y(g) = -7*g**2 - 12*g + 6. Let m(b) = 6*b**2 + 10*b - 5. Let x(h) = l*y(h) + 6*m(h). Give x(d(a)).", "a": "36*a**4" }, { "q": "Let z(x) = -4*x + x + 5*x. Let r(h) be the third derivative of 49*h**5/60 + h**4/24 - 1855*h**2 + 3. Give z(r(v)).", "a": "98*v**2 + 2*v" }, { "q": "Let a(n) be the second derivative of n**4/4 + 1058*n. Let g(y) = 2*y - 16. What is a(g(v))?", "a": "12*v**2 - 192*v + 768" }, { "q": "Let y(z) = -31*z**2. Let c(i) = 477110*i. Calculate c(y(f)).", "a": "-14790410*f**2" }, { "q": "Let g(c) be the first derivative of 2*c**3/3 - 56*c + 1269. Let k(x) = -2*x. Give g(k(y)).", "a": "8*y**2 - 56" }, { "q": "Let w(n) = -n**2 + 2*n. Let f(d) = 115*d - 105*d - 3*d**2 + 3*d**2 - 6*d**2. Let z(l) = f(l) - 5*w(l). Let g(q) = 6*q. Give g(z(y)).", "a": "-6*y**2" }, { "q": "Let k(o) = -25*o - 17*o - 18*o + 85*o - 24*o. Let p(i) be the second derivative of -2*i**4/3 - 2*i. Determine k(p(u)).", "a": "-8*u**2" }, { "q": "Let q(g) = 2*g. Let k(x) = -4*x**3 + x**2 + 6*x + 4. Let c be k(-1). Let o(d) be the first derivative of 0*d**2 + 17/3*d**c + 0*d - 13. Determine q(o(h)).", "a": "34*h**2" }, { "q": "Let d(s) = 2979437*s**2. Let l(m) = -2*m**2. Give l(d(h)).", "a": "-17754089673938*h**4" }, { "q": "Let x(s) = 1177259*s. Let m(a) = 2*a. What is m(x(j))?", "a": "2354518*j" }, { "q": "Let l(s) = 3526486*s. Let o(k) = -k**2. What is o(l(i))?", "a": "-12436103508196*i**2" }, { "q": "Let t(j) = -426*j. Let p(d) be the third derivative of d**4/4 + 723*d**2. Determine p(t(g)).", "a": "-2556*g" }, { "q": "Let g(n) = n**2. Let p(m) = 4263647*m**2. Give p(g(k)).", "a": "4263647*k**4" }, { "q": "Let c(t) = t**2. Let i(f) be the first derivative of 117*f**2 + 1282. Calculate c(i(m)).", "a": "54756*m**2" }, { "q": "Let b(o) = 2*o + 43. Let i(y) = 4641*y + 10. Give b(i(p)).", "a": "9282*p + 63" }, { "q": "Let y(a) = -75*a**2 - 7*a + 7. Let z(t) = -32*t**2 - 3*t + 3. Let f(p) = 6*y(p) - 14*z(p). Let u(s) = -515*s**2. Calculate u(f(w)).", "a": "-2060*w**4" }, { "q": "Let l(v) = -942*v. Let j(b) = 15*b - 280. What is j(l(x))?", "a": "-14130*x - 280" }, { "q": "Let j(o) = 684711*o**2. Let w(k) = -2*k**2. Determine w(j(b)).", "a": "-937658307042*b**4" }, { "q": "Let i(o) = -o**2. Let t(h) = -7*h - 42. Let n be t(-6). Let k(z) be the third derivative of 0*z**4 + n*z + 0*z**3 + 0 - 13/60*z**5 + 3*z**2. Give i(k(d)).", "a": "-169*d**4" }, { "q": "Let g(w) be the third derivative of -w**4/4 + 4*w**2 - 6. Let f(o) = 15*o. What is f(g(t))?", "a": "-90*t" }, { "q": "Let n(y) = 14*y**2. Let z(w) = -90*w. Let a(u) = u. Let b(o) = -180*a(o) - 3*z(o). Determine n(b(x)).", "a": "113400*x**2" }, { "q": "Let o(y) be the second derivative of -23*y**4/12 + 32*y. Let a(i) = -4. Let p(q) = 5*q - 12. Let w(g) = -3*a(g) + p(g). Determine w(o(r)).", "a": "-115*r**2" }, { "q": "Let d(v) = -5*v. Let x(m) = 36*m. Let r(j) = 15*d(j) + 2*x(j). Let y(h) be the third derivative of 1/8*h**4 + 0*h**3 + 0 - 11*h**2 + 0*h. Give r(y(z)).", "a": "-9*z" }, { "q": "Let m(p) = -16*p**2. Let b(o) = o - 24*o**2 + 224 + o - 224. Determine b(m(i)).", "a": "-6144*i**4 - 32*i**2" }, { "q": "Let h(k) = -44705*k. Let q(t) = t**2 - 222*t. Give q(h(u)).", "a": "1998537025*u**2 + 9924510*u" }, { "q": "Let l(c) = -130*c. Let g(u) = 11*u**2 + 420. What is l(g(k))?", "a": "-1430*k**2 - 54600" }, { "q": "Suppose 0 = 7*q - 16*q + 18. Let v(g) = g**2 - g**q - 2*g**2. Let o(k) = 21*k. Determine o(v(r)).", "a": "-42*r**2" }, { "q": "Let u(g) = -301968*g. Let i(p) = 2*p**2 - 5*p. Determine i(u(q)).", "a": "182369346048*q**2 + 1509840*q" }, { "q": "Let w(k) = -84*k. Let y(r) be the first derivative of -1/2*r**2 + 0*r + 57. What is y(w(f))?", "a": "84*f" }, { "q": "Suppose -6 = -3*t + n - 28, 20 = -4*t - n. Let b(g) = 15*g - 11. Let w(j) = -8*j + 6. Let l(s) = t*b(s) - 11*w(s). Let a(d) = 16*d - 6. Determine l(a(r)).", "a": "-32*r + 12" }, { "q": "Let p(y) = -7*y - 3. Let z(v) = -5068*v. What is z(p(c))?", "a": "35476*c + 15204" }, { "q": "Let h(q) = -15*q**2. Let m(a) = -13*a**2 + 5. Suppose 4*g = -g + 10, 0 = -3*z - g - 22. Let k(u) = -20*u**2 + 8. Let f(j) = z*m(j) + 5*k(j). What is h(f(o))?", "a": "-240*o**4" }, { "q": "Let q(t) = 3*t - 33. Let i(g) = 5*g**2 - 4*g - 8. Let a(v) = -10*v**2 + 9*v + 18. Let b(h) = -4*a(h) - 9*i(h). Give b(q(p)).", "a": "-45*p**2 + 990*p - 5445" }, { "q": "Let n(p) = 246*p - 2. Let v(s) = 7*s**2 + 8*s**2 - 39*s**2 + 22*s**2 + 0*s**2. Calculate v(n(f)).", "a": "-121032*f**2 + 1968*f - 8" }, { "q": "Suppose -5*u + w + 16 = 0, 8*w = 3*u + 3*w + 8. Let q(b) = 4*b + u*b - 6*b - 8*b. Let p(k) = -k. Give p(q(z)).", "a": "6*z" }, { "q": "Let f(r) = 4*r**2 + 3*r + 3. Let o be -4*8*2/8. Let b(q) = -11*q**2 - 8*q - 8. Let y(a) = o*f(a) - 3*b(a). Let h(j) = -17*j + 0 + 0. What is h(y(s))?", "a": "-17*s**2" }, { "q": "Let u(t) = -2*t - 8. Let h be 98/(-42) - 10/6. Let y(c) = -c - 6. Let z(w) = h*y(w) + 3*u(w). Let a(p) = 51*p**2. Calculate z(a(b)).", "a": "-102*b**2" }, { "q": "Let g(o) = 10*o + 14*o - 5*o. Let y(q) = -2*q**2 + 4*q**2 + 57835*q - 57835*q. What is y(g(f))?", "a": "722*f**2" }, { "q": "Let d(g) = 3*g. Let h(x) = 10*x - 11. Let k(m) = 19*m - 9. Let w(i) = 3*h(i) - 4*k(i). Give d(w(n)).", "a": "-138*n + 9" }, { "q": "Let l(c) = 8*c - 3. Let r be 282/(-42) + (-2)/7. Let o(s) = 19*s - 7. Let g(m) = r*l(m) + 3*o(m). Let v(u) = -16*u**2. Give g(v(i)).", "a": "-16*i**2" }, { "q": "Let d be ((-12)/9)/(-1) + (-6)/72 + -1. Let x(t) be the third derivative of 0*t**3 + 0*t + 0 + d*t**4 + 18*t**2. Let g(b) = -b. Determine x(g(o)).", "a": "-6*o" }, { "q": "Let m(z) = 12*z - 1 - 5*z + 1. Let j = 48 + -28. Let h(d) = -9 + j - 3*d - 11. What is h(m(l))?", "a": "-21*l" }, { "q": "Let u(q) be the third derivative of -q**4/8 - 5*q**2. Let z(v) = 5*v**2 + 6*v + 6. Let k(n) = 19*n**2 + 22*n + 22. Let j(l) = 6*k(l) - 22*z(l). Give j(u(s)).", "a": "36*s**2" }, { "q": "Let j(f) = -36492*f. Let z(b) = 114*b. Give j(z(q)).", "a": "-4160088*q" }, { "q": "Let w(u) = -5*u. Let m(t) = 1169578*t. Determine m(w(z)).", "a": "-5847890*z" }, { "q": "Let j(g) = 12296972*g. Let a(v) = -2*v**2. Give a(j(o)).", "a": "-302431040737568*o**2" }, { "q": "Let j(s) be the second derivative of -s**4/12 + 3*s. Let h(i) be the second derivative of 19*i**3/6 + 18*i + 12. What is j(h(y))?", "a": "-361*y**2" }, { "q": "Let k(w) = 2*w. Let q(z) be the third derivative of -z**8/2016 - z**5/60 - 4*z**3 - 66*z**2. Let b(t) be the third derivative of q(t). What is k(b(p))?", "a": "-20*p**2" }, { "q": "Let h(f) = 3*f. Let b(d) = 3*d - 10*d + 3*d - 4*d. Let r(t) = -4*b(t) - 11*h(t). Let p(v) = v. What is r(p(s))?", "a": "-s" }, { "q": "Let r(a) = 9*a. Let u(v) = 49*v**2 + 60*v**2 - 178*v**2 + 57*v**2. Give u(r(j)).", "a": "-972*j**2" }, { "q": "Let b(h) = h - 4. Let d(j) = -4*j**2 + 6*j - 3. Let i(s) = 6*b(s) - d(s). Let x(g) = -g**2. What is i(x(v))?", "a": "4*v**4 - 21" }, { "q": "Let u(q) = 4*q - 5230*q**2 - 4*q + 5253*q**2. Let y(m) = 0 - 4*m + 0. Give y(u(l)).", "a": "-92*l**2" }, { "q": "Let f(x) = -77587*x + 77587*x + 2*x**2. Let m(g) = -g**2 + 42. What is f(m(k))?", "a": "2*k**4 - 168*k**2 + 3528" }, { "q": "Let a(g) = 2*g. Let u(l) = 280004*l**2 + 2*l + 13. What is u(a(f))?", "a": "1120016*f**2 + 4*f + 13" }, { "q": "Let w(o) = 15*o**2. Let i = -689 - -690. Let p(g) = 1. Let a(x) = -3 - 5*x + 3*x - 2. Let l(t) = i*a(t) + 5*p(t). What is w(l(b))?", "a": "60*b**2" }, { "q": "Let i(r) = -104*r - 102*r + 206*r + 77*r**2 + 797*r**2. Let a(z) = -z**2. What is i(a(b))?", "a": "874*b**4" }, { "q": "Let y(d) be the second derivative of -17*d**4/12 + 11*d - 196. Let j(r) = -3*r - 4*r + 0*r. Calculate y(j(u)).", "a": "-833*u**2" }, { "q": "Let b(f) = f + 29. Let n(m) = m + 1005. Give b(n(s)).", "a": "s + 1034" }, { "q": "Let a(q) = -19074*q**2 + 19954*q**2 - 6*q + 6*q. Let r(i) = -2*i. Determine a(r(d)).", "a": "3520*d**2" }, { "q": "Let i(f) be the first derivative of 13/2*f**2 + 0*f + 1/24*f**4 - 9 + 0*f**3. Let l(r) be the second derivative of i(r). Let x(d) = -29*d. Determine l(x(s)).", "a": "-29*s" }, { "q": "Let k(y) = -y. Let a(o) = -4875*o. Let p(j) = -375*j. Let d(z) = 2*a(z) - 27*p(z). Calculate k(d(h)).", "a": "-375*h" }, { "q": "Let z(q) = 38*q + 35. Let v(s) = -116*s - 112. Let u(i) = 5*v(i) + 16*z(i). Let r(a) be the third derivative of a**4/8 + 2*a**2. Determine u(r(w)).", "a": "84*w" }, { "q": "Let v(q) = -28*q. Suppose 42*m - 22 - 62 = 0. Let j(i) be the first derivative of -1/3*i**3 + 0*i + 2 + 0*i**m. Determine j(v(s)).", "a": "-784*s**2" }, { "q": "Let v(h) = 49*h - 10. Let f(b) = 90*b - 18. Let r(t) = -5*f(t) + 9*v(t). Let k(z) = 40*z**2. Determine r(k(a)).", "a": "-360*a**2" }, { "q": "Let n(z) = 3*z. Let f(o) = -26*o. Let d(y) = -2*f(y) - 20*n(y). Let t(w) = -51*w. Calculate d(t(u)).", "a": "408*u" }, { "q": "Let p(v) = 5142*v + 5180*v - 10694*v + 5 - 5. Let f(i) = i. What is p(f(z))?", "a": "-372*z" }, { "q": "Let j(h) be the first derivative of 14*h**2 - 739. Let d(c) = -3 + 2*c**2 - 1 + 4. Determine d(j(v)).", "a": "1568*v**2" }, { "q": "Let v(a) = 17*a + 27*a + 14*a - 57*a. Let u(p) = p + 8*p**2 - p + 12*p**2. Determine u(v(h)).", "a": "20*h**2" }, { "q": "Let w(a) = 7*a. Let n(u) = 19*u. Let o(s) = 4*n(s) - 11*w(s). Let y(p) be the first derivative of 4 + 0*p**2 + 5/3*p**3 + 0*p. Calculate o(y(g)).", "a": "-5*g**2" }, { "q": "Let c(j) = 40*j. Let w(d) = -d**2 + 3*d + 6. Let x = -73 - -67. Let s(t) = 2*t**2 - 5*t - 10. Let v(u) = x*s(u) - 10*w(u). What is c(v(y))?", "a": "-80*y**2" }, { "q": "Let d(a) = 67*a - 3. Let f(m) = -132*m + 5. Let z(i) = 10*d(i) + 6*f(i). Let x(w) = -9*w. Give x(z(v)).", "a": "1098*v" }, { "q": "Suppose 14 - 1 = 4*y + f, 0 = -4*y - 5*f + 17. Let v(c) = 3*c - 5*c + y*c. Let o(d) be the second derivative of d**4/4 + 533*d + 1. Calculate o(v(h)).", "a": "3*h**2" }, { "q": "Let h(k) = -915*k**2. Let j(i) = -9*i - 5 + 25*i - 14*i + 5. Determine h(j(s)).", "a": "-3660*s**2" }, { "q": "Let q(j) = 3*j. Let d(c) = 3*c + 1. Let p(i) = 20*i**2 - 330*i - 110. Let t(u) = -220*d(u) - 2*p(u). Give q(t(h)).", "a": "-120*h**2" }, { "q": "Let q(a) = -2114 + 0*a + 2*a + 9*a + 2114. Let c(x) = -8*x**2. Calculate q(c(t)).", "a": "-88*t**2" }, { "q": "Let q(n) be the second derivative of n**4/6 + n. Let x(p) = -22132*p - 3 + 27*p**2 - 23*p**2 + 22132*p + 3 - 2. Determine x(q(o)).", "a": "16*o**4 - 2" }, { "q": "Let p(m) = -m**2 - 11*m + 14. Let g be p(-12). Let a(x) = x**2 + x**2 - 2*x**g + 3*x**2. Let i(y) be the first derivative of 2*y**3 - 72. Determine i(a(s)).", "a": "54*s**4" }, { "q": "Let o(j) be the third derivative of -j**4/24 + j**3/3 + 47*j**2. Let r(m) = 3*m - 4. Let a(x) = 4*o(x) + 2*r(x). Let b(n) = -67*n**2. Give a(b(k)).", "a": "-134*k**2" }, { "q": "Let p(h) = 5*h**2. Let x = -6 + 5. Let d be (-1)/x - (-1 + 0). Let i(g) = 7*g**d - 4*g**2 + 2*g**2. Give p(i(q)).", "a": "125*q**4" }, { "q": "Let a be ((-2)/3)/((-8)/(-276)). Let i = a + 26. Let o(c) = -8*c + i*c**2 + 18*c - 10*c. Let u(r) = -2*r. Calculate u(o(l)).", "a": "-6*l**2" }, { "q": "Let r(m) = 201*m - 2. Let l(s) = 47*s**2 + 47*s**2 + 42*s**2 - 179*s**2 + 42*s**2. Determine l(r(k)).", "a": "-40401*k**2 + 804*k - 4" }, { "q": "Let h = -38 + 43. Let t(u) = u. Let n(m) be the third derivative of -5*m**4/8 - 19*m**2. Let v(r) = h*n(r) + 90*t(r). Let s(i) = i. What is v(s(o))?", "a": "15*o" }, { "q": "Suppose 2 = 4*o - 6. Let a(k) = -k**2 - 10*k - 7. Let i be a(-9). Let g(b) = 9*b**2 - 5*b**o + 0*b**i. Let s(f) = 2*f. Calculate s(g(h)).", "a": "8*h**2" }, { "q": "Let v(h) be the first derivative of 5*h**4/6 + 4*h**2 - 54*h + 40. Let t(y) be the first derivative of v(y). Let f(a) = -2*a**2. Determine f(t(p)).", "a": "-200*p**4 - 320*p**2 - 128" }, { "q": "Let i(h) = 24*h**2. Let d(y) be the second derivative of y**4/2 + 383*y + 2. Calculate d(i(n)).", "a": "3456*n**4" }, { "q": "Let m(j) = -11*j. Let p(a) = a**2 - 521806*a. Determine m(p(h)).", "a": "-11*h**2 + 5739866*h" }, { "q": "Let x(c) be the third derivative of -c**5/20 - 13*c**2. Suppose -2*m + 10 = z, -4*m = -2*z - 3*z - 20. Let j(i) = 7*i**2 - 3*i**2 + z*i**2. Give x(j(v)).", "a": "-48*v**4" }, { "q": "Let h(z) = 1343360*z**2. Let k(i) = -17*i. What is k(h(u))?", "a": "-22837120*u**2" }, { "q": "Let q(p) be the first derivative of -69*p**3 + p**2 + 5. Let j(b) = 2*b. What is j(q(v))?", "a": "-414*v**2 + 4*v" }, { "q": "Let s(n) = 62*n - 1. Let d(p) = -47*p + 2. Let g(i) = -4*d(i) - 3*s(i). Let f(k) = 11 - 2*k**2 + 4*k**2 - 11. Determine g(f(t)).", "a": "4*t**2 - 5" }, { "q": "Let p = 43 - 41. Suppose -3*u = 0, 3*k - 2*u - 6 = -4*u. Let z(n) = n**k - 12*n**2 + 4*n**2 + 9*n**p. Let d(i) = -9*i. Determine d(z(j)).", "a": "-18*j**2" }, { "q": "Let t(r) be the third derivative of 13*r**4/2 + 1589*r**2. Let j(v) = -v. Calculate j(t(z)).", "a": "-156*z" }, { "q": "Let j be (-24)/6*(-2)/4. Let f(y) = y - 8*y + 4*y - j*y. Let p(v) = 4*v. Let r(h) = 3*f(h) + 4*p(h). Let q(s) = 5*s. What is r(q(w))?", "a": "5*w" }, { "q": "Let m(w) = 13*w. Let o(k) = 68*k + 1. Let u(j) = -63*j - 1. Let c(h) = 3*o(h) + 4*u(h). Give m(c(z)).", "a": "-624*z - 13" }, { "q": "Let o(r) = 5575643*r**2. Let g(s) = 4*s. Calculate g(o(h)).", "a": "22302572*h**2" }, { "q": "Let g(o) = -7856*o + 178. Let c(j) = -2*j. Calculate c(g(w)).", "a": "15712*w - 356" }, { "q": "Let w(r) be the first derivative of -r**2 + 829. Let h(p) be the second derivative of p + 0*p**2 - 3/4*p**4 + 0 + 0*p**3. What is w(h(s))?", "a": "18*s**2" }, { "q": "Let b(k) = -21*k**2 - 22*k - 5. Let p(a) = 33*a**2 + 31*a + 7. Let r(l) = -7*b(l) - 5*p(l). Let x(c) = 3*c. What is x(r(j))?", "a": "-54*j**2 - 3*j" }, { "q": "Let j(k) be the second derivative of 11 - 1/3*k**3 + 0*k**2 - k. Let c(l) = -2*l - 3. Determine c(j(i)).", "a": "4*i - 3" }, { "q": "Let v(b) = 1385*b. Let p(w) = -14*w**2 + 2*w. Calculate v(p(t)).", "a": "-19390*t**2 + 2770*t" }, { "q": "Let q(b) = 182*b**2 - 3*b - 3. Let n(j) = 141231*j**2 - 2327*j - 2327. Let c(d) = 6*n(d) - 4654*q(d). Let u(v) = -7*v**2. Give u(c(i)).", "a": "-897148*i**4" }, { "q": "Let r(z) = -z. Let d be (43/4 + 3)*4. Let y be (d/15 - 3)*6. Let q(l) = -y + 4 - 13*l**2 + 24*l**2. What is r(q(m))?", "a": "-11*m**2" }, { "q": "Suppose -3*f = -8 + 2. Let v(n) be the first derivative of 12*n - 38. Let w(i) = -i + 1. Let c(y) = f*v(y) - 24*w(y). Let u(l) = 2*l. Determine u(c(p)).", "a": "48*p" }, { "q": "Let d(b) = 2 + 4*b**2 - 2*b**2 - 2. Let v(r) be the first derivative of 8*r**3 - 677. What is v(d(h))?", "a": "96*h**4" }, { "q": "Let z(v) = v - 2047. Let s(i) = 146*i. What is s(z(n))?", "a": "146*n - 298862" }, { "q": "Let g(u) = 2*u. Let w(r) be the second derivative of 5*r + 0*r**3 + 0 - 9/2*r**4 + 0*r**2. Determine g(w(j)).", "a": "-108*j**2" }, { "q": "Let v(t) = -498 + 937 + 148*t - 439. Let n(u) = u. Calculate n(v(k)).", "a": "148*k" }, { "q": "Let c(z) be the second derivative of z**5/60 + 23*z**2/2 - z. Let m(w) be the first derivative of c(w). Let g(l) = 42*l**2. What is m(g(r))?", "a": "1764*r**4" }, { "q": "Let x(i) = -i. Let u(v) = 32*v - 3. Let y(h) be the second derivative of h**3/6 - h**2/2 + 11*h + 5. Let a(f) = u(f) - 3*y(f). Calculate a(x(s)).", "a": "-29*s" }, { "q": "Let c(t) be the second derivative of -41*t**3/6 + 176*t. Let b(p) = -15*p**2. Calculate c(b(s)).", "a": "615*s**2" }, { "q": "Let n(h) = 14*h. Let z(m) = 19607*m + 9*m**2 - 19607*m. Determine z(n(o)).", "a": "1764*o**2" }, { "q": "Let l(p) = 7*p**2. Let g be ((1080/(-16))/(-15))/((-2)/(-2036)). Let h(z) = -g - 16*z + 4581. Give h(l(w)).", "a": "-112*w**2" }, { "q": "Let h(w) = 27*w**2. Let i(b) = 11*b - 4. Let c(s) = 343*s - 126. Let f(x) = 2*c(x) - 63*i(x). Calculate f(h(y)).", "a": "-189*y**2" }, { "q": "Let l(p) = 143*p. Let o(g) = 5834*g + 1. Determine o(l(r)).", "a": "834262*r + 1" }, { "q": "Let y(r) = -9954*r. Let j(k) = 28*k - 25. Determine j(y(h)).", "a": "-278712*h - 25" }, { "q": "Let y(g) = 0*g**2 - 4*g**2 + 0*g**2. Let k(m) be the third derivative of -1/24*m**4 + 6*m**2 + 0*m + 0*m**3 + 0. Determine y(k(c)).", "a": "-4*c**2" }, { "q": "Let k(r) = -16*r**2. Let a(z) = -261*z + 1053. Let d(p) = 13*p - 52. Let y(v) = 4*a(v) + 81*d(v). Determine y(k(o)).", "a": "-144*o**2" }, { "q": "Let t(l) be the first derivative of l**3/3 + 661. Let d(x) = 82*x. What is d(t(n))?", "a": "82*n**2" }, { "q": "Let q(v) = 3*v + 5. Let w(j) = -5*j - 4 - 3 + 0*j. Let i(p) = 7*q(p) + 5*w(p). Let f(c) = -47*c**2 + 20*c**2 + 12*c**2 + 19*c**2. What is f(i(k))?", "a": "64*k**2" }, { "q": "Let y(p) = -p. Let s(u) be the first derivative of -43*u**6/360 + u**3/3 + 15. Let c(a) be the third derivative of s(a). Calculate c(y(l)).", "a": "-43*l**2" }, { "q": "Let n(f) = -4*f. Let s(q) = 190*q. Suppose -58*z + 52*z + 660 = 0. Let j(i) = -7*i. Let u(p) = z*j(p) + 4*s(p). Calculate u(n(v)).", "a": "40*v" }, { "q": "Let q(l) = -6*l**2. Let c(w) = 5*w**2 - 10220*w. Give c(q(j)).", "a": "180*j**4 + 61320*j**2" }, { "q": "Let r(f) = -3*f - 1. Let j(p) = 20*p + 5. Let n(g) = 78*g + 18. Let m(s) = -18*j(s) + 5*n(s). Calculate r(m(c)).", "a": "-90*c - 1" }, { "q": "Let h(j) = -j. Suppose 2 = -q - c, -5*q + 35 = -4*c + 9. Let a(v) = -5*v + 68*v**q + 2*v + 3*v. Give a(h(r)).", "a": "68*r**2" }, { "q": "Let y(r) = 201*r**2 - 7*r + 7. Let w(z) = -67*z**2 + 2*z - 2. Let q(k) = -7*w(k) - 2*y(k). Let h(f) = -24*f. Give h(q(s)).", "a": "-1608*s**2" }, { "q": "Let q(m) = 4*m**2 - 11*m**2 - 16*m**2. Let x(n) be the third derivative of -n**5/12 - 170*n**2. Give q(x(z)).", "a": "-575*z**4" }, { "q": "Let i(a) = a. Let r(g) be the first derivative of -788*g**3/3 + 1281. What is r(i(l))?", "a": "-788*l**2" }, { "q": "Let g(u) = -234*u + 4. Let y(h) = 8 + 0 - 12 + 4 + h. Give y(g(v)).", "a": "-234*v + 4" }, { "q": "Suppose 62 = 19*r - 17*r. Let l(k) = -r*k - 27*k + 55*k. Let w(m) = -m**2 - 3*m + 3*m. Determine w(l(u)).", "a": "-9*u**2" }, { "q": "Let d(y) be the second derivative of -2*y**3/3 - 6*y**2 + 2*y. Let r(k) = -k - 1. Let j(z) = 2*z + 3. Let o(n) = -j(n) - 3*r(n). What is o(d(w))?", "a": "-4*w - 12" }, { "q": "Let k(l) be the second derivative of l**4/6 - l. Let d(s) = -s**3 - s**2 + s + 1. Let o be d(-1). Let n(z) = o*z - 16*z - z + 8*z. Give n(k(v)).", "a": "-18*v**2" }, { "q": "Let a(c) be the second derivative of -14*c**3/3 - 4*c + 1. Let q(s) = 391*s. Let r(m) = -69*a(m) - 5*q(m). Let k(l) = 2*l**2. Calculate k(r(z)).", "a": "1058*z**2" }, { "q": "Let c(p) = -70*p. Let j(r) = 2471 - 2*r**2 - r**2 + 2471 - 4942. Calculate c(j(l)).", "a": "210*l**2" }, { "q": "Let h(v) = -120*v - 2. Let y(l) = -1788 + 4*l**2 + 1788. What is h(y(z))?", "a": "-480*z**2 - 2" }, { "q": "Let m(p) = -5*p. Let h(q) = -435*q + 81*q + 129*q. Let i(z) = 28*z. Let t(a) = 4*h(a) + 33*i(a). What is m(t(k))?", "a": "-120*k" }, { "q": "Let q(j) = -2*j. Let f(p) = 49*p**2 + 35. Let y(w) = -106*w**2 - 71. Let l(n) = -13*f(n) - 6*y(n). Determine l(q(s)).", "a": "-4*s**2 - 29" }, { "q": "Let c(y) = -4*y - 2*y + 5*y + 8*y. Let r(k) = -142*k**2 + 60*k**2 + 79*k**2. Give r(c(s)).", "a": "-147*s**2" }, { "q": "Let t(l) = -6*l + 3*l + 57*l**2 - 19*l**2 - 31*l**2. Let s(x) be the first derivative of -x**2/2 + 20. Give s(t(r)).", "a": "-7*r**2 + 3*r" }, { "q": "Let g(h) = 20*h**2 + 2. Let z(t) = 62*t**2 + 111*t + 6. Let a(y) = 3*g(y) - z(y). Let l(k) = -4*k. Give a(l(u)).", "a": "-32*u**2 + 444*u" }, { "q": "Let k(j) be the first derivative of -91*j**2/2 - 6. Let i(c) be the third derivative of -c**4/24 + 260*c**2. Determine i(k(z)).", "a": "91*z" }, { "q": "Let b(q) = 26*q**2 + 20018*q. Let c(a) = 8*a. What is b(c(d))?", "a": "1664*d**2 + 160144*d" }, { "q": "Let v(n) be the second derivative of -n**3/3 + n. Let j(r) = 546*r - 507*r + 126*r. What is j(v(b))?", "a": "-330*b" }, { "q": "Suppose 3 + 9 = 4*c. Let a(l) = l + 2*l - 3*l + c*l. Let o(n) = -9*n + 6. Let f(q) = 8*q - 5. Let p(v) = 6*f(v) + 5*o(v). Give p(a(g)).", "a": "9*g" }, { "q": "Let i(x) be the first derivative of 7*x**2/2 - 247. Let k(d) = -12*d + 2. Calculate k(i(g)).", "a": "-84*g + 2" }, { "q": "Let q(n) = -8*n. Let f(y) = 42*y**2 - 4*y + 1. Let j be f(-1). Let d(b) = -j*b**2 + 30*b**2 + 25*b**2. Calculate d(q(z)).", "a": "512*z**2" }, { "q": "Let l(y) be the first derivative of 25*y**2/2 + 9*y + 611. Let x(q) = -4*q**2. Determine l(x(u)).", "a": "-100*u**2 + 9" }, { "q": "Let i(y) be the second derivative of -19*y**5/60 - 15*y**2/2 - 4*y + 3. Let b(r) be the first derivative of i(r). Let x(h) = 2*h**2. Give b(x(k)).", "a": "-76*k**4" }, { "q": "Let x(p) = -23*p**2 - 6. Let m(z) = 9294*z. Calculate x(m(q)).", "a": "-1986704028*q**2 - 6" }, { "q": "Let v(h) = 8*h + 6014. Let d(y) = 24*y. What is v(d(q))?", "a": "192*q + 6014" }, { "q": "Let f(d) = 1. Let z(l) = -l - 4. Let j(s) = -12*f(s) - 3*z(s). Let x(i) = i**2 - 74*i. Determine x(j(o)).", "a": "9*o**2 - 222*o" }, { "q": "Let r(j) = 5*j - 7*j - 8*j + 19*j. Let o(c) be the third derivative of c**4/2 - c**2 + 100*c. Calculate r(o(u)).", "a": "108*u" }, { "q": "Let w(f) = f**2 + f - 2165. Let l(g) = -589*g**2. Give w(l(h)).", "a": "346921*h**4 - 589*h**2 - 2165" }, { "q": "Let w(f) be the third derivative of 0 - 4*f**2 + 0*f**3 - 1/12*f**4 - 7*f. Let g(v) = 99*v**2. Give g(w(b)).", "a": "396*b**2" }, { "q": "Let l(s) = 2682*s. Let h(d) = 2588*d**2. Determine l(h(j)).", "a": "6941016*j**2" }, { "q": "Let c(a) = 14*a + 12. Let b(s) = s + 1. Let i(q) = -12*b(q) + c(q). Let h(r) be the third derivative of 9*r**5/20 - 215*r**2. Give i(h(z)).", "a": "54*z**2" }, { "q": "Let b(g) = 7*g**2. Let t(o) = -4776*o - 193. What is t(b(w))?", "a": "-33432*w**2 - 193" }, { "q": "Let d(y) be the first derivative of y**3/3 + 1073. Let g(m) = 318*m**2 + 2*m. Calculate g(d(l)).", "a": "318*l**4 + 2*l**2" }, { "q": "Let x(j) = -965*j. Let f(y) = 123*y**2 - 58*y**2 - 66*y**2. Give x(f(i)).", "a": "965*i**2" }, { "q": "Let q(j) be the second derivative of 0 + 5*j - 1/6*j**3 + 0*j**2. Let a(h) be the third derivative of -h**5/6 - 2*h**2 + 100*h. What is a(q(r))?", "a": "-10*r**2" }, { "q": "Let z(b) = -29*b**2 + 27*b. Let a(y) = -3*y**2 + 3*y. Let g(m) = 9*a(m) - z(m). Let k(w) be the second derivative of -3*w**4/4 - w. What is g(k(o))?", "a": "162*o**4" }, { "q": "Let q(g) be the first derivative of 3*g**3 + 899. Let c(u) = 272*u**2. Determine c(q(o)).", "a": "22032*o**4" }, { "q": "Let m(y) = -2*y - 4. Let d(p) = 47851*p + 2. Calculate m(d(i)).", "a": "-95702*i - 8" }, { "q": "Let f(a) = 6 - 3*a - 116*a + 69*a - 44*a. Let l(r) = 2*r. Calculate l(f(y)).", "a": "-188*y + 12" }, { "q": "Let r(s) = -45*s. Let v(b) be the third derivative of -b**5/120 + 7*b**3/3 - 28*b**2. Let i(d) be the first derivative of v(d). What is r(i(y))?", "a": "45*y" }, { "q": "Let f(h) be the second derivative of 0*h**2 - 43*h + 0 - 1/2*h**3. Let n(b) = -20*b. Give f(n(u)).", "a": "60*u" }, { "q": "Let x(y) = y. Let i(m) = -3081656*m. Give i(x(o)).", "a": "-3081656*o" }, { "q": "Let a(d) = 9270 + 2*d + 9264 - 18534. Let u(z) = 0 + 2 - 2 - 47*z. Calculate a(u(j)).", "a": "-94*j" }, { "q": "Let g(z) = 67*z. Let n(p) = -2*p + 91980. What is g(n(b))?", "a": "-134*b + 6162660" }, { "q": "Let o(i) = 3*i**2. Let r(q) = -1 - 1 - 523*q - 697*q - 560*q + 987*q. Calculate o(r(w)).", "a": "1886547*w**2 + 9516*w + 12" }, { "q": "Suppose -2 = -d - 4, -5*m = -3*d - 16. Let w(u) = -u**m + 4*u**2 - 5*u**2 + 4*u**2. Let l(b) = 4*b + 2. What is l(w(r))?", "a": "8*r**2 + 2" }, { "q": "Let z(m) = -15*m**2 + 2*m**2 + 5*m**2. Let x(a) be the first derivative of -7*a**2 - 28. Determine z(x(k)).", "a": "-1568*k**2" }, { "q": "Let g(j) be the third derivative of 2*j + 6*j**2 + 0*j**4 - 1/30*j**5 + 0*j**3 + 0. Let z(u) = 113*u. Calculate z(g(t)).", "a": "-226*t**2" }, { "q": "Let f(p) be the second derivative of -p**6/60 - p**3/6 + 7*p**2/2 - 2*p - 5. Let a(q) be the second derivative of f(q). Let v(z) = 2 - 3*z - 2. Give a(v(g)).", "a": "-54*g**2" }, { "q": "Let w(d) be the third derivative of 5*d**4/12 + 2*d**2 - 245*d. Let o(r) = -45*r**2 - 1. What is w(o(x))?", "a": "-450*x**2 - 10" }, { "q": "Let p(t) = -204*t. Let k(f) = 6*f**2 - 15*f - 30. Let l(w) = w**2 - 2*w - 4. Let r(a) = -2*k(a) + 15*l(a). Give r(p(m)).", "a": "124848*m**2" }, { "q": "Let o(i) be the first derivative of 2*i**3/3 + 1. Let h(b) be the second derivative of -b**3/3 - b - 3647. What is h(o(k))?", "a": "-4*k**2" }, { "q": "Let q(v) = -3*v. Let c(j) = 2135550*j. Give c(q(h)).", "a": "-6406650*h" }, { "q": "Let p(k) = -273*k**2 + 1963. Let y(s) = 10*s. Determine y(p(z)).", "a": "-2730*z**2 + 19630" }, { "q": "Let v(m) = 66444*m. Let c(k) = 35*k. Determine c(v(p)).", "a": "2325540*p" }, { "q": "Let r(g) = 592*g**2 - 104*g + 208. Let y(f) = -17*f**2 + 3*f - 6. Let x(a) = 6*r(a) + 208*y(a). Let b(m) = -27*m. Give b(x(l)).", "a": "-432*l**2" }, { "q": "Let a(y) = 13*y + 2. Let c(h) = -38*h - 6. Let g(l) = 6*a(l) + 2*c(l). Let q(m) = -227*m**2. What is g(q(u))?", "a": "-454*u**2" }, { "q": "Let y(f) = -f. Let a(j) = 123256*j - 9. Calculate a(y(b)).", "a": "-123256*b - 9" }, { "q": "Suppose -k + 392 = 4*w, 3*w - 313 = -6*k + 10*k. Let z(l) = 7*l - 94*l**2 + w*l**2 + 3*l - 8*l. Let m(t) = -3*t**2. What is m(z(n))?", "a": "-75*n**4 - 60*n**3 - 12*n**2" }, { "q": "Let x(g) = 4*g - 5. Let q(b) = b - 1. Let o(w) = 5*q(w) - x(w). Let d(f) be the first derivative of -9*f**2 - 3197. Give o(d(m)).", "a": "-18*m" }, { "q": "Let b(u) = -156584*u + 3885. Let w(j) = -2409*j + 60. Let d(z) = -4*b(z) + 259*w(z). Let q(r) = -2*r**2. Give d(q(c)).", "a": "-4810*c**2" }, { "q": "Let i(h) be the third derivative of -h**6/180 + h**4/12 - h**3 + h**2 + 27. Let b(o) be the first derivative of i(o). Let p(q) = 3*q**2. Determine b(p(x)).", "a": "-18*x**4 + 2" }, { "q": "Let f(z) = 41*z. Let i(o) be the second derivative of -o**6/720 - 5*o**4/12 - o**3 + 3*o + 1. Let b(n) be the third derivative of i(n). What is b(f(q))?", "a": "-41*q" }, { "q": "Let c(u) = -13*u. Let d(n) = -2*n**2 - 8*n - 4. Let a be d(-3). Let j(v) = -25*v**a + 61*v**2 - 30*v**2. Determine j(c(m)).", "a": "1014*m**2" }, { "q": "Let m(q) = 4079*q - 65. Let p(a) = -a**2. Calculate m(p(i)).", "a": "-4079*i**2 - 65" }, { "q": "Let z be 2/3*(-108)/(-18) + 12. Let y(u) = 12*u + 2*u**2 + z*u - 28*u. Let a(m) = 96*m**2. Calculate a(y(n)).", "a": "384*n**4" }, { "q": "Let w(k) = 2*k. Suppose 16 = -45*j + 53*j. Suppose 3*d - 5*d = 5*m - 26, -9 = d - 3*m. Let q(p) = -11*p**2 + p**2 + 4*p**2 - d*p**j. Determine q(w(b)).", "a": "-36*b**2" }, { "q": "Let s(f) = -7618*f - 5. Let m(d) = 2*d. Calculate s(m(p)).", "a": "-15236*p - 5" }, { "q": "Let k(h) be the first derivative of 29 + h**3 + 6 + 15 - 3. Let d(s) = -62*s. Determine k(d(a)).", "a": "11532*a**2" }, { "q": "Let m(c) = 2*c**2 - 80. Let d(k) be the third derivative of k**5/30 + 634*k**2. Give m(d(t)).", "a": "8*t**4 - 80" }, { "q": "Suppose -5*j = 2*c - 33, 58 = 5*c + j + 10. Let i(p) = c - 9 + 13*p + 14*p. Let s(n) be the first derivative of n**2/2 + 13. Calculate i(s(q)).", "a": "27*q" }, { "q": "Let c(z) = -5*z**2. Let s be (-86)/(-44) - 202/(-4444). Let v(o) be the third derivative of 0*o**3 + 1/12*o**4 + 0*o + 0 - 11*o**s. What is v(c(k))?", "a": "-10*k**2" }, { "q": "Suppose -4*h + h + 6 = 0. Let d(n) = -3*n - 2*n + 5*n - h*n. Let q(f) be the third derivative of 41*f**5/60 + 25*f**2 + 8*f. Calculate d(q(x)).", "a": "-82*x**2" }, { "q": "Let i(z) = 482758*z**2 + 4496*z + 4496. Let d(n) = -537*n**2 - 5*n - 5. Let s(b) = 4496*d(b) + 5*i(b). Let y(u) = -u. Determine s(y(v)).", "a": "-562*v**2" }, { "q": "Let g(i) be the first derivative of 55*i**2/2 + 2*i - 1517. Let z(c) = -3*c**2. What is g(z(y))?", "a": "-165*y**2 + 2" }, { "q": "Let g(t) = -15233383*t. Let n(w) = -2*w. Give n(g(j)).", "a": "30466766*j" }, { "q": "Let h(z) be the second derivative of -17*z**4/12 - 62*z. Let q(u) = -3*u + 2. Determine h(q(d)).", "a": "-153*d**2 + 204*d - 68" }, { "q": "Let k(r) = 32479*r. Let w(x) = x + 327. Give k(w(u)).", "a": "32479*u + 10620633" }, { "q": "Let p = 0 + 12. Suppose 4*z = 20, -2*u - 3*z = -71 + 20. Let n(x) = -u*x**2 - p*x + 12*x. Let y(i) = i**2. Calculate n(y(h)).", "a": "-18*h**4" }, { "q": "Let l(y) be the third derivative of -y**5/30 - y**2. Let o(r) be the third derivative of 0*r**4 + 1/60*r**5 + 2*r - 34*r**2 + 0*r**3 + 0. What is l(o(z))?", "a": "-2*z**4" }, { "q": "Let m(y) = y + 1863. Let v(a) = -4347*a**2. Calculate m(v(i)).", "a": "-4347*i**2 + 1863" }, { "q": "Let y(z) be the second derivative of 5/4*z**4 + 0*z**3 - 16*z + 0*z**2 + 0. Let l(r) be the third derivative of r**4/12 + 12*r**2. Calculate y(l(m)).", "a": "60*m**2" }, { "q": "Let b(q) = -3*q. Let z(j) = -77*j**2 + 85*j - 44. Let x(r) = 16*r**2 - 17*r + 8. Let w(g) = 11*x(g) + 2*z(g). What is b(w(u))?", "a": "-66*u**2 + 51*u" }, { "q": "Let l(u) = -9*u - 1. Let c = 2803 + -832. Let r(j) = -j**2 + c - 1971. Determine r(l(z)).", "a": "-81*z**2 - 18*z - 1" }, { "q": "Let l(c) = 2*c. Let v(r) = r**2 - 73*r - 6472. Determine v(l(k)).", "a": "4*k**2 - 146*k - 6472" }, { "q": "Let w(f) = -124*f. Let u(d) be the second derivative of 5*d - 5 + 0*d**2 + 1/6*d**3. Give w(u(p)).", "a": "-124*p" }, { "q": "Let u(o) be the second derivative of 15*o**4 - o + 481. Let d(h) = h**2. What is u(d(q))?", "a": "180*q**4" }, { "q": "Suppose -10 + 22 = 2*o. Let k be ((-60)/36)/((-2)/o). Let h(j) = -1 - j + 6 - k. Let d(g) = -46*g**2. What is d(h(y))?", "a": "-46*y**2" }, { "q": "Let r(t) = -2*t + 717. Let k(d) = 69*d - 54*d - 14*d. Determine k(r(p)).", "a": "-2*p + 717" }, { "q": "Let j(i) = 9*i + 13*i - 7*i. Let v(g) = -379 - 379 + 756 - 3*g. Let b(f) = 5*f + 4. Let h(a) = b(a) + 2*v(a). Determine j(h(m)).", "a": "-15*m" }, { "q": "Let i(z) = -z**2. Let y(u) = 15 - 41*u - 122*u - 19*u - 19 + 21*u. Give i(y(j)).", "a": "-25921*j**2 - 1288*j - 16" }, { "q": "Suppose 19 = 6*k - 2*k - x, 4*k - 23 = -3*x. Let l(w) = k - 5 + 2*w. Let c(q) = 18*q**2 + 32*q**2 - 56*q**2. Give c(l(v)).", "a": "-24*v**2" }, { "q": "Let l(r) = -3*r - 20. Let u(v) = 10. Let w(d) = -l(d) - 2*u(d). Let i(z) = z. Let f(n) = -2*n. Let m(g) = 6*f(g) + 11*i(g). Calculate w(m(y)).", "a": "-3*y" }, { "q": "Let q(t) = -155339*t + 2. Let a(v) = -14*v. Determine a(q(o)).", "a": "2174746*o - 28" }, { "q": "Let l(n) = -n**2. Let j(v) = 14*v + 1. Let t be j(1). Let o = 17 - t. Let h(w) = 0*w**2 - w**2 + w**2 - 2*w**o. Give l(h(g)).", "a": "-4*g**4" }, { "q": "Let y(g) = 12*g. Let i(h) = 1006522*h**2. Calculate y(i(a)).", "a": "12078264*a**2" }, { "q": "Let x(t) = -t. Let i(z) = -z**2 + 2*z - z**2 - 3 + 4*z - 14*z. Let d be i(-3). Let p(j) = j + 3 - d - 3*j. Give p(x(k)).", "a": "2*k" }, { "q": "Let f(c) = 18476*c. Let t(m) = 5*m**2 + 57. Give f(t(q)).", "a": "92380*q**2 + 1053132" }, { "q": "Suppose -25*b = 40*b - 50*b. Let j(h) be the second derivative of b*h**3 + 0 + 5*h - 13/12*h**4 + 0*h**2. Let l(r) = -2*r. Calculate l(j(p)).", "a": "26*p**2" }, { "q": "Suppose -a - 13 = 15. Let y = 30 + a. Let x(q) = -13*q**y + 7*q**2 + 4*q**2. Let v(g) = -16*g. Determine v(x(c)).", "a": "32*c**2" }, { "q": "Let y(p) = -68*p. Let k(s) be the third derivative of 3*s**4/4 + 3*s**2 - 132*s. What is y(k(j))?", "a": "-1224*j" }, { "q": "Let d(n) be the first derivative of n**2/2 - 1. Let w(m) be the third derivative of 2*m**2 - 7/24*m**4 - m + 0 + 0*m**3. Give d(w(k)).", "a": "-7*k" }, { "q": "Let b(d) = -3*d - 2*d - d + 13*d - 5*d. Let h = -2 - -2. Let r(o) = h*o**2 - o**2 + 3*o**2 + 6*o**2. Give b(r(t)).", "a": "16*t**2" }, { "q": "Let v(r) = 4*r**2. Let l(h) = 3 - 102271*h - 3 + 102055*h. Determine v(l(a)).", "a": "186624*a**2" }, { "q": "Let m(j) = -17*j - 152. Let o(g) = -9*g - 80. Let x(k) = 10*m(k) - 19*o(k). Let z(c) = -587*c + 1. Determine z(x(l)).", "a": "-587*l + 1" }, { "q": "Let i(t) = -t**2. Let g(c) be the second derivative of 1311*c**3/2 - 40*c. What is g(i(h))?", "a": "-3933*h**2" }, { "q": "Let n(i) = -421*i**2 - 18. Let p(k) = 105*k**2 + 4. Let o(s) = 2*n(s) + 9*p(s). Let g(t) = t. Calculate g(o(w)).", "a": "103*w**2" }, { "q": "Let f(v) = -5*v**2 + 1. Let k be f(1). Let j be (2 - (-14)/k)/(9/(-12)). Let q(a) = -a**2 + 5*a - 5*a + j*a**2. Let d(h) = -13*h**2. Determine d(q(i)).", "a": "-13*i**4" }, { "q": "Let k(v) be the second derivative of v**4/6 + 866*v. Let g(f) = 9*f + 1. Give k(g(o)).", "a": "162*o**2 + 36*o + 2" }, { "q": "Let z(h) = 182*h**2. Let a(o) be the second derivative of -o**5/120 + 15*o**3/2 - 77*o. Let d(s) be the second derivative of a(s). Determine z(d(b)).", "a": "182*b**2" }, { "q": "Let o(s) = -246*s**2 - 2. Let b(n) be the first derivative of n**3 - 639. Give o(b(i)).", "a": "-2214*i**4 - 2" }, { "q": "Let b(p) be the second derivative of -2*p**3/3 + 11*p**2/2 - 499*p. Let k(x) = 16*x**2. Determine b(k(v)).", "a": "-64*v**2 + 11" }, { "q": "Let i(b) be the third derivative of 1061*b**4/24 + 1073*b**2. Let f(s) = 3*s**2. Calculate f(i(j)).", "a": "3377163*j**2" }, { "q": "Let t(j) = 6*j**2 + 10. Let u(s) = -2*s**2 - 3. Let l(z) = -3*t(z) - 10*u(z). Let b(p) be the first derivative of p**2/2 - 796. Calculate b(l(d)).", "a": "2*d**2" }, { "q": "Let j(n) = -16 + 25 - 13*n - 9. Let v(m) = 11*m - 3. Let q(w) = -15*w + 4. Let k(b) = -3*q(b) - 4*v(b). Give k(j(h)).", "a": "-13*h" }, { "q": "Let k(l) = l**2 - 3*l**2 - 3*l**2. Let t(j) = 1. Let x(y) = -2*y + 4. Let s(g) = -12*t(g) + 3*x(g). What is k(s(h))?", "a": "-180*h**2" }, { "q": "Let r(q) = -q. Let l(o) = -35192*o**2 + 848*o - 848. Let d(k) = -414*k**2 + 10*k - 10. Let u(b) = 424*d(b) - 5*l(b). Calculate r(u(w)).", "a": "-424*w**2" }, { "q": "Let s(r) = -r**2. Let m(k) = 20*k**2 - 4*k. Let f(g) = 14*g - 3 + 3 - 59*g**2 - g**2. Let a(w) = -2*f(w) - 7*m(w). What is s(a(z))?", "a": "-400*z**4" }, { "q": "Let k(q) = -14*q. Let o be ((-6)/(-10))/((-2)/10). Let h be 1/1*(-12)/18*o. Let z(d) = -39*d**2 + 71*d**2 - 34*d**h. Determine z(k(v)).", "a": "-392*v**2" }, { "q": "Let x(t) be the second derivative of -t**3/3 + 299*t - 1. Let z(v) = 0*v + v**2 + 0*v - 9*v**2. Calculate z(x(u)).", "a": "-32*u**2" }, { "q": "Let j(l) = 35*l. Let q(v) = -v - 27. Let p be q(-31). Let w(z) = z + 5*z - p*z. Determine w(j(a)).", "a": "70*a" }, { "q": "Let o(s) be the second derivative of -s**3/3 + 17*s**2/2 - 976*s. Let f(n) = -4*n. What is o(f(m))?", "a": "8*m + 17" }, { "q": "Suppose 6*m - 13*m + 21 = 0. Let h(b) = -b - 9*b - m*b. Let g(w) = w. What is g(h(f))?", "a": "-13*f" }, { "q": "Let a(o) be the first derivative of -3*o**2 - 5*o - 143. Let r(q) = 4*q**2 - 2*q. Let u(w) = -9*w**2 + 5*w. Let d(g) = 5*r(g) + 2*u(g). Give d(a(s)).", "a": "72*s**2 + 120*s + 50" }, { "q": "Let z be (6 - 64/11)*(2 + 9). Let v(u) = 6*u**z - 4*u**2 + 12*u**2 + u**2. Let k(m) = -2*m. Determine v(k(c)).", "a": "60*c**2" }, { "q": "Let v(q) = 35*q. Let t(b) = 4*b - 3. Let g(i) = 18*i - 13. Let w(x) = -g(x) + 4*t(x). Determine v(w(k)).", "a": "-70*k + 35" }, { "q": "Let q(r) = -10*r**2 + 5*r. Let m = -59 - -54. Let y(a) = 5*a**2 - 2*a. Let z(p) = m*y(p) - 2*q(p). Let f(w) = -3*w. Give z(f(v)).", "a": "-45*v**2" }, { "q": "Let k(u) = 8*u + 7. Let c(g) = -7*g - 6. Let o(m) = 7*c(m) + 6*k(m). Let w(q) = -741 + 241 - q + 242 + 235. What is o(w(r))?", "a": "r + 23" }, { "q": "Let p(h) = -14*h + 24. Let w(q) = 9*q - 15. Let m(y) = 5*p(y) + 8*w(y). Let v(j) = -j + 475. Calculate m(v(b)).", "a": "-2*b + 950" }, { "q": "Let l(c) = 5*c. Let s(r) = -5*r**2 + 6*r**2 - 55 + 2*r**2 - 69 - 2*r**2. Give l(s(a)).", "a": "5*a**2 - 620" }, { "q": "Let y(h) = -17*h**2 + 1. Let x(p) be the third derivative of 3*p**4/8 + 2*p**2 - 548. Calculate y(x(u)).", "a": "-1377*u**2 + 1" }, { "q": "Let f(a) = -2*a**2 - 153*a + 3143. Let n(h) = -5*h. What is f(n(c))?", "a": "-50*c**2 + 765*c + 3143" }, { "q": "Let b(v) = 1320*v + 1326*v - 2644*v. Let z(i) = 8*i**2 + 9*i**2 + 2*i**2. Determine b(z(j)).", "a": "38*j**2" }, { "q": "Let g(v) = v**2 + 2*v + 6. Let a(k) = -40*k**2 - 36*k - 108. Let i(z) = a(z) + 18*g(z). Let u(r) = 2 - 3*r - 2. Determine u(i(p)).", "a": "66*p**2" }, { "q": "Let u(l) = -230*l. Let t(o) = -36*o - 14. Let a(b) = 21*b + 8. Let d(z) = 7*a(z) + 4*t(z). What is d(u(y))?", "a": "-690*y" }, { "q": "Let c(x) = 11*x**2. Let p(j) = 2*j**2 + 8*j - 85. Calculate p(c(q)).", "a": "242*q**4 + 88*q**2 - 85" }, { "q": "Let p(u) = 35*u - 42. Let n(g) = g - 1. Let d(l) = -42*n(l) + p(l). Let t = 78 - 76. Let f(w) = 6*w - 10*w + t*w. Calculate d(f(r)).", "a": "14*r" }, { "q": "Let u(b) = -26*b**2. Let i be -1 + 5 + (0 - -12). Let l(d) = i + d - 13 - 3. Calculate u(l(k)).", "a": "-26*k**2" }, { "q": "Let v(g) = 274429*g. Let p(k) = -14*k. Determine p(v(u)).", "a": "-3842006*u" }, { "q": "Let r(s) = 44*s**2. Let u(o) = -195525*o. Give r(u(k)).", "a": "1682121127500*k**2" }, { "q": "Suppose 135*t = 134*t + 1. Let a(o) = -o**2 - o. Let p(v) = -3*v**2 + 2*v. Let s(z) = t*p(z) + 2*a(z). Let y(u) = 0*u - 2*u + 0*u. Give s(y(m)).", "a": "-20*m**2" }, { "q": "Let t(l) = 12*l - 12*l + 25*l**2. Let y(v) be the first derivative of -5*v**2/2 + 2036. Calculate y(t(a)).", "a": "-125*a**2" }, { "q": "Let r(m) = 2*m - 5. Let v(u) = 11749*u. Determine r(v(y)).", "a": "23498*y - 5" }, { "q": "Let o(d) = -3*d**2. Let x(g) = 203600*g. Give x(o(w)).", "a": "-610800*w**2" }, { "q": "Let d(o) = -28*o. Let b(f) = -10*f - 2*f - 3*f - 2*f + 10*f. Calculate d(b(j)).", "a": "196*j" }, { "q": "Let v(j) = j**3 - 7*j**2 + 6*j + 4. Let s be v(6). Let i(n) = -n**2 - 4 + 0*n**2 + s. Let g(d) = 31*d + 5*d - 3359 + 3359. Calculate g(i(w)).", "a": "-36*w**2" }, { "q": "Let n(f) = 8*f**2 + 16*f - 16. Let v(t) = -2*t**2 - 5*t + 5. Let a(c) = 5*n(c) + 16*v(c). Let x(h) be the second derivative of h**3/3 - 2*h. Determine x(a(d)).", "a": "16*d**2" }, { "q": "Let u(a) be the first derivative of 59*a**2/2 + 81. Let f(b) = -17*b**2. What is u(f(c))?", "a": "-1003*c**2" }, { "q": "Let x(o) = -2*o. Let v be (23*7)/(5/5). Suppose w - 2*d - v = 0, 2*w - w - 4*d = 151. Let f(l) = 17*l**2 - w*l + 171*l. What is f(x(i))?", "a": "68*i**2" }, { "q": "Suppose -8 = -10*v + 6*v. Let s be 0 + -2 - (-8 - 0). Let m(o) = v*o**2 - s*o + 11*o - 5*o. Let i(t) = 7*t. Give i(m(h)).", "a": "14*h**2" }, { "q": "Let x(o) = -2029*o. Let u(q) = -2*q**2 + 18*q - 32. Give u(x(v)).", "a": "-8233682*v**2 - 36522*v - 32" }, { "q": "Let s(j) = -8*j**2 + 6*j. Let x(g) = 13*g**2 + g**2 + g - 10*g**2 - 4*g. Let q(a) = 3*s(a) + 5*x(a). Let v(y) = 2*y. Calculate q(v(r)).", "a": "-16*r**2 + 6*r" }, { "q": "Let f(u) = 2*u + 5011. Let z(w) = -8*w. Determine f(z(i)).", "a": "-16*i + 5011" }, { "q": "Let r(p) = -194557*p. Let t(w) = -70*w. Give r(t(m)).", "a": "13618990*m" }, { "q": "Let s(b) = -3228*b. Let f(y) be the first derivative of 2*y**3/3 + 1160. What is f(s(u))?", "a": "20839968*u**2" }, { "q": "Let m(f) = 13*f. Let k(j) = 2*j - 22491 + 22490 - 6*j. Determine m(k(a)).", "a": "-52*a - 13" }, { "q": "Let f(a) = 26*a - 38. Let o(t) = 19*t + 11. Calculate f(o(r)).", "a": "494*r + 248" }, { "q": "Let c(y) be the first derivative of -344 - 2*y**2 - 9*y**2 - 4*y**2 + 297. Let x(f) = 4*f**2. Calculate c(x(b)).", "a": "-120*b**2" }, { "q": "Let z(o) = -31*o. Let q(p) = 11145*p. Give z(q(w)).", "a": "-345495*w" }, { "q": "Let w(q) be the first derivative of -43*q**5/120 + q**3/3 + 3*q**2/2 - 40. Let g(c) be the third derivative of w(c). Let v(m) = -m. Give v(g(p)).", "a": "43*p" }, { "q": "Let i(h) = 10*h. Let v(s) = -s**2 - 41*s - 119. Let u be v(-38). Let a(t) = -13*t + 5. Let n(q) = 20*q - 7. Let o(g) = u*n(g) - 7*a(g). What is i(o(c))?", "a": "-90*c" }, { "q": "Let p(o) = o**2. Suppose -3 = -w, -4*t - 32 = -w - 1. Let i be 3/(t - 2)*-6. Let v(n) = -i*n**2 - 5*n**2 + 3*n**2 + 3*n**2. What is p(v(q))?", "a": "q**4" }, { "q": "Let r(z) = -42*z. Suppose -3 = -5*c + 22. Suppose 0 = -2*a + 4*y + 18, -c*a - 17 = -10*a - 4*y. Let x(f) = -19 + f**2 + a + 14. Give r(x(q)).", "a": "-42*q**2" }, { "q": "Let x(g) = 11930*g**2 + g - 13. Let i(v) = 2*v. Determine i(x(r)).", "a": "23860*r**2 + 2*r - 26" }, { "q": "Let u(p) = -p**2 + 10. Let x(k) = -k**2 - 15. Let y(i) = 3*u(i) + 2*x(i). Let a(r) = 2*r + 8*r + 18*r - 2*r. Give a(y(f)).", "a": "-130*f**2" }, { "q": "Let v be (-1)/(-1 + -1 + 3). Let t(h) = h. Let u(x) = 11*x + 2*x - 26*x - 6*x. Let l(i) = v*u(i) - 6*t(i). Let b(a) = a. What is b(l(w))?", "a": "13*w" }, { "q": "Let u(s) = -s**2. Let a = 23 + -25. Let t = 18 + a. Let r(m) = 30 + t*m - 30. What is u(r(w))?", "a": "-256*w**2" }, { "q": "Let o(r) = -2715*r**2. Let k(p) = 211*p. What is k(o(q))?", "a": "-572865*q**2" }, { "q": "Let s(x) = -88*x**2 + 44*x**2 + 48*x**2. Suppose 3 = -w, 4*y + y = w + 18. Let n(t) = 0*t**2 - 7*t**2 + y*t**2 - 4*t**2. Determine n(s(h)).", "a": "-128*h**4" }, { "q": "Let z(f) = 59*f**2. Let m(o) be the second derivative of o**3/2 + 50*o + 4. What is m(z(q))?", "a": "177*q**2" }, { "q": "Let u(a) = 3 + 6766*a**2 - 3 - 6732*a**2. Let r(v) = -16*v**2. Give r(u(z)).", "a": "-18496*z**4" }, { "q": "Let p(j) = 13078*j**2 + 3. Let n(f) = -46*f. Give n(p(z)).", "a": "-601588*z**2 - 138" }, { "q": "Let n(q) = 3*q**2. Let r(a) = 26102*a - 620. Let j(u) = -339*u + 8. Let p(s) = -155*j(s) - 2*r(s). What is p(n(c))?", "a": "1023*c**2" }, { "q": "Let o(p) be the third derivative of -55 + 2*p**2 + 0*p + 0*p**3 + 1/8*p**4. Let n(s) = -32*s**2. Calculate o(n(h)).", "a": "-96*h**2" }, { "q": "Let k(g) = 36*g. Let m(r) be the first derivative of -26*r**3/3 + 110. Calculate m(k(t)).", "a": "-33696*t**2" }, { "q": "Let i(a) be the first derivative of -2*a**3/3 - 668. Let x(r) = -r + 85. Calculate i(x(h)).", "a": "-2*h**2 + 340*h - 14450" }, { "q": "Let f be (-2)/6 + 55328/42. Let t(v) = v**2 + 1317*v - f*v + v**2. Let o(l) = 3*l**2. Calculate t(o(w)).", "a": "18*w**4" }, { "q": "Let j(v) = -8*v**2 + 2. Let p(z) = -8 - 6 + 20 - 6 - 33*z. Calculate j(p(s)).", "a": "-8712*s**2 + 2" }, { "q": "Let u(o) = -o**2 + 13*o - 33. Let g be u(9). Let n(z) = 3 - g - 1 + 21*z + 7*z. Let y(k) = k**2. Calculate y(n(c)).", "a": "784*c**2 - 56*c + 1" }, { "q": "Let y(h) = -14872*h**2. Let p(v) = -745*v**2. What is p(y(s))?", "a": "-164776406080*s**4" }, { "q": "Let w(o) = o - 6. Let n(i) = -2*i + 4*i - 30 + 19. Let v(q) = -6*n(q) + 11*w(q). Let t(m) be the second derivative of -m**4/4 - 22*m. What is t(v(r))?", "a": "-3*r**2" }, { "q": "Let c(j) = 14*j**2 + j + 77. Let w(t) = 257*t. What is w(c(y))?", "a": "3598*y**2 + 257*y + 19789" }, { "q": "Let a(c) = -180399*c. Let l(h) = 38*h**2. Calculate a(l(x)).", "a": "-6855162*x**2" }, { "q": "Let m(n) = n. Let c(p) be the first derivative of 263*p**3/3 + 974. What is c(m(q))?", "a": "263*q**2" }, { "q": "Let w(l) = -2*l**2 - 402*l. Let t(f) be the first derivative of -2*f**3/3 + 1284. Calculate w(t(b)).", "a": "-8*b**4 + 804*b**2" }, { "q": "Let z(n) = 19583833*n. Let r(v) = -v**2. What is r(z(c))?", "a": "-383526514971889*c**2" }, { "q": "Let l(n) = -17*n. Let w(i) = 1243781*i**2. What is w(l(y))?", "a": "359452709*y**2" }, { "q": "Let k(b) = -10586*b - 2. Let v(w) = -2*w. Calculate v(k(z)).", "a": "21172*z + 4" }, { "q": "Let c(z) = 9*z**2 - 4*z. Let o(g) = 10*g**2 - 6*g. Let b(k) = -3*c(k) + 2*o(k). Let p(h) = -3*h**2 + 20. Give b(p(d)).", "a": "-63*d**4 + 840*d**2 - 2800" }, { "q": "Let h(x) = -30*x. Let w(f) be the first derivative of f**5/40 - 74*f**3/3 - 65. Let y(l) be the third derivative of w(l). Give y(h(o)).", "a": "-90*o" }, { "q": "Let c(k) = 2*k**2. Suppose 2*n - 404 = -p, 3*p = -p - 5*n + 1619. Let y(u) = -u**2 - p*u - 30 + 406*u. Determine c(y(f)).", "a": "2*f**4 + 120*f**2 + 1800" }, { "q": "Let z(o) = -8991417*o. Let k(x) = -x. What is z(k(v))?", "a": "8991417*v" }, { "q": "Let k = -20 + 22. Suppose -o - 27 = -3*j - 5*o, -4*j + 14 = -k*o. Let y(g) = -5*g + 3*g - j + 5. Let l(m) = -m**2. What is y(l(f))?", "a": "2*f**2" }, { "q": "Let j(w) = -177*w. Let g(o) = -o**2 - 5. Let z(p) be the second derivative of -p**2/2 + 48*p. Let f(b) = g(b) - 5*z(b). Calculate f(j(q)).", "a": "-31329*q**2" }, { "q": "Let a(s) = -10*s. Let p(f) = 13*f. Suppose 0 = -13*i - 0*i - 26. Let w(u) = -3*u + u + 5*u. Let t(q) = i*p(q) + 9*w(q). Give t(a(c)).", "a": "-10*c" }, { "q": "Let s(m) = -m - 4*m**2 + m - 27*m**2. Let o be 148/(-6*3/(-9)). Let u(j) = -o*j**2 + 32*j**2 + 22*j**2 + 21*j**2. Give u(s(x)).", "a": "961*x**4" }, { "q": "Let s(i) = -276*i. Suppose -365 - 27 = -4*f. Suppose 2*d = -2 + f. Let v(w) = 29*w. Let b(g) = d*v(g) + 5*s(g). Let q(a) = 2*a**2. What is q(b(k))?", "a": "288*k**2" }, { "q": "Let s(r) = 38*r. Let k(x) = -349933*x. Give s(k(a)).", "a": "-13297454*a" }, { "q": "Let u(s) = -3*s**2. Let b(m) = -4*m**2 + 2*m + 2. Let x = -209 - -204. Let h(d) = 5*d - 2*d**2 - 9*d**2 + 2*d**2 + 5. Let o(r) = x*b(r) + 2*h(r). Give u(o(v)).", "a": "-12*v**4" }, { "q": "Let n(t) = 269*t**2. Let r(v) = -2*v**2 + 1369*v + 2. Give r(n(o)).", "a": "-144722*o**4 + 368261*o**2 + 2" }, { "q": "Let t(j) = -15*j**2 + 16. Let w(y) = 31*y**2 - 40. Let r(h) = -5*t(h) - 2*w(h). Let o(a) = 74*a. What is r(o(b))?", "a": "71188*b**2" }, { "q": "Let a(v) be the second derivative of v**3/6 + 17*v. Let q(h) be the first derivative of -2 + 7 - 6*h**2 - 5*h**2. What is a(q(w))?", "a": "-22*w" }, { "q": "Let y(x) = x. Let u(j) be the second derivative of -j**6/360 + j**3/6 - 35*j**2/2 + 40*j. Let v(k) be the second derivative of u(k). Determine v(y(m)).", "a": "-m**2" }, { "q": "Let l(z) = -103 + 203 + 4*z - 101. Let n(o) = 3*o. Determine n(l(a)).", "a": "12*a - 3" }, { "q": "Let k(y) = -4*y**2 + 32*y**2 - 4*y**2 - 9*y**2 - 10*y**2. Let x(h) = -4*h - 28. What is x(k(c))?", "a": "-20*c**2 - 28" }, { "q": "Let g(d) = -d**2. Suppose -6*p + 656 + 172 = 0. Let j(a) = 0 + p*a + 3 - 137*a. Give j(g(t)).", "a": "-t**2 + 3" }, { "q": "Let m(u) = 187*u + 2. Let w(h) be the first derivative of -2*h**3/3 - 410. Give w(m(d)).", "a": "-69938*d**2 - 1496*d - 8" }, { "q": "Let p(v) be the third derivative of -v**8/10080 - 7*v**5/15 + 2*v**2 + 27*v. Let r(z) be the third derivative of p(z). Let x(b) = 9*b + 3. What is x(r(h))?", "a": "-18*h**2 + 3" }, { "q": "Let a(q) = 7*q. Let d(h) = -4*h - 18964 + 37929 - 18962. Let t(r) = 7*r - 5. Let k = -4 - 1. Let x(z) = k*d(z) - 3*t(z). Determine a(x(g)).", "a": "-7*g" }, { "q": "Let z(w) = -8*w**2. Let v(q) = 2*q**2 - 5687*q - 25. What is v(z(u))?", "a": "128*u**4 + 45496*u**2 - 25" }, { "q": "Let x(a) be the second derivative of -a**3/3 - 254*a. Let u = -1 - -11. Let l(m) = -m - u*m - 4*m. Determine x(l(t)).", "a": "30*t" }, { "q": "Let f(u) = u**2. Let o(g) = 8 + 26 + 12 - 42*g - 44. Calculate o(f(v)).", "a": "-42*v**2 + 2" }, { "q": "Let v(o) = -50303*o. Let k(j) = -68*j**2. Calculate k(v(u)).", "a": "-172066643012*u**2" }, { "q": "Let f(s) = -18*s**2 + 59*s**2 - 23*s**2. Let t(c) = -c - 6. Let n be t(-6). Let a(w) = 0*w - 2*w + n*w. Determine f(a(i)).", "a": "72*i**2" }, { "q": "Let b(v) = 2*v**2 - 3*v**2 - 2*v**2 + 0*v**2. Let q(c) = 22*c - 44. Let d(j) = -5*j + 12. Let x(p) = -4*d(p) - q(p). Give b(x(h)).", "a": "-12*h**2 - 48*h - 48" }, { "q": "Let v(i) = 3263*i**2. Let c(s) be the first derivative of -2*s**3/3 - 1502. What is v(c(o))?", "a": "13052*o**4" }, { "q": "Let c(l) = -l. Let q(b) = -32*b - 50953. Calculate c(q(x)).", "a": "32*x + 50953" }, { "q": "Let o(s) = 13*s. Let q(c) be the first derivative of 2*c**3/3 + 5*c + 318. Let j = 2 + -9. Let i(v) = 3*v**2 + 7. Let b(f) = j*q(f) + 5*i(f). What is b(o(a))?", "a": "169*a**2" }, { "q": "Let b(a) be the second derivative of -530*a**3/3 + 26*a + 11. Let n(k) = k**2. What is n(b(j))?", "a": "1123600*j**2" }, { "q": "Let p = 28 + -26. Suppose -3*q - q + 5*w = -9, -24 = -3*q - p*w. Let o(n) = 10 - 4 - 3*n - q. Let y(f) = -f. What is o(y(u))?", "a": "3*u" }, { "q": "Let c(k) = 12*k**2 - 208*k. Let p(h) = -2661*h. Determine p(c(g)).", "a": "-31932*g**2 + 553488*g" }, { "q": "Let y(q) = 2*q**2 - 2. Let d(s) = -32*s**2 + 6. Let t(o) = d(o) + 4*y(o). Let m(v) = -v**2. Calculate t(m(k)).", "a": "-24*k**4 - 2" }, { "q": "Let y(q) be the first derivative of q**3/3 - 1. Let f(k) be the second derivative of -k**3/6 + 5*k**2/2 - 22865*k. Calculate y(f(p)).", "a": "p**2 - 10*p + 25" }, { "q": "Let s(g) = 4265*g. Let w(f) = 5*f**2 - 2. Calculate s(w(n)).", "a": "21325*n**2 - 8530" }, { "q": "Let t(j) = -362*j. Let s(m) = 41*m + 12. Calculate t(s(y)).", "a": "-14842*y - 4344" }, { "q": "Let m(d) be the third derivative of -149*d**5/30 + 177*d**2. Let u(k) = k**2. Calculate u(m(y)).", "a": "88804*y**4" }, { "q": "Let b(l) = -5 - 647*l**2 - 129*l**2 + 1 + 4. Let f(w) = -2*w**2. Determine f(b(r)).", "a": "-1204352*r**4" }, { "q": "Let k(f) be the third derivative of 5*f**4/24 + 5*f**3/2 + 1257*f**2. Let v(x) = -x. Give v(k(w)).", "a": "-5*w - 15" }, { "q": "Let j(w) = 7553*w + 22. Let l(v) = -5*v. Calculate l(j(n)).", "a": "-37765*n - 110" }, { "q": "Let v(t) = -8*t - 1002. Let f(u) = -188*u**2. What is v(f(m))?", "a": "1504*m**2 - 1002" }, { "q": "Let u(a) be the third derivative of -7*a**5/20 + 28*a**2. Let x(r) = -64*r - 59*r + 124*r. Calculate x(u(m)).", "a": "-21*m**2" }, { "q": "Let c(k) be the first derivative of 43 - 3/2*k**2 + 0*k. Let d(h) = 46*h**2. Give c(d(x)).", "a": "-138*x**2" }, { "q": "Let v(m) = -37*m**2. Let t(i) be the second derivative of i**5/60 - 59*i**2/2 + 2*i - 6. Let n(b) be the first derivative of t(b). Give n(v(r)).", "a": "1369*r**4" }, { "q": "Suppose -4*q + v + 0*v + 16 = 0, -12 = -3*q + 5*v. Suppose 0 = q*y - 0*y - 8. Let g(i) = 8*i - 14*i**y + 14*i - 22*i. Let k(d) = -2*d**2. What is g(k(c))?", "a": "-56*c**4" }, { "q": "Let g(j) = -27*j**2. Let x(r) = -9*r + 1731 - 885 - 846. Give x(g(s)).", "a": "243*s**2" }, { "q": "Let l(j) = -13842*j. Let x(a) = -107*a**2. What is x(l(k))?", "a": "-20501303148*k**2" }, { "q": "Let y(m) be the first derivative of -2*m**3/3 - 244*m**2 + 420. Let x(h) = -2*h. Determine x(y(t)).", "a": "4*t**2 + 976*t" }, { "q": "Let d(f) = -f**2 - 6*f. Let o(b) = 6*b - 5. Let z(t) be the first derivative of -3*t**2/2 + 3*t - 3. Let y(w) = 3*o(w) + 5*z(w). What is d(y(m))?", "a": "-9*m**2 - 18*m" }, { "q": "Let a(j) = 2*j**2. Let u(b) be the first derivative of 3*b**4/4 - 25*b**2/2 + 1. Let p(x) be the second derivative of u(x). Give p(a(f)).", "a": "36*f**2" }, { "q": "Let s(c) = -7*c**2. Let k(r) = -6*r**2 + 6*r + 6. Let z(n) = -6*n**2 + 5*n + 5. Let g be -6*4/6*21/(-14). Let a(q) = g*z(q) - 5*k(q). Calculate s(a(f)).", "a": "-252*f**4" }, { "q": "Let o(k) = -2*k**2. Let h(q) = -q**2 + q - 1. Let z(v) = -113*v**2 - 3*v + 2. Let m(j) = -3*h(j) - z(j). Calculate m(o(b)).", "a": "464*b**4 + 1" }, { "q": "Let d(c) be the third derivative of -c**4/12 + 7*c**3/6 - 50*c**2. Let i(x) = -16*x**2. Calculate d(i(n)).", "a": "32*n**2 + 7" }, { "q": "Let d(y) = y - 2. Let x(n) = 235*n - 45. Calculate x(d(v)).", "a": "235*v - 515" }, { "q": "Let m = 2941 + -2934. Let s(h) be the first derivative of m + 2/3*h**3 + 0*h + 0*h**2. Let b(r) = 9*r**2. Determine b(s(x)).", "a": "36*x**4" }, { "q": "Let t(v) = -8*v - 1. Let d(a) = 11*a**2 + 32671*a - 32671*a. Give d(t(c)).", "a": "704*c**2 + 176*c + 11" }, { "q": "Let k(j) = 13*j. Let i be 9/(-20 - 7) - (-32)/6. Let y(x) = 11*x. Let r(p) = i*k(p) - 6*y(p). Let a(c) = 21*c. What is r(a(d))?", "a": "-21*d" }, { "q": "Let k(v) = 7*v**2. Let q(w) = -16*w + 12. Let m(b) = -5*b + 4. Let s(z) = -3*m(z) + q(z). What is k(s(x))?", "a": "7*x**2" }, { "q": "Let s(h) = -2 + 4*h**2 + 29*h**2 - 7*h**2 + 2. Let b(z) = -z + 1 + 3 - 4. Determine b(s(c)).", "a": "-26*c**2" }, { "q": "Let v(q) = 6*q. Let g(d) = 48*d - 7365. Calculate v(g(u)).", "a": "288*u - 44190" }, { "q": "Let c(u) = 6*u**2 + u. Let z be 4/3 + (3 - 21/9). Let k(p) = 78*p**2 - 154*p**z + 78*p**2. Determine c(k(t)).", "a": "24*t**4 + 2*t**2" }, { "q": "Let d(c) = 3*c**2. Let m(n) = -103*n + 15. Let v(y) = -216*y + 32. Let l(q) = 13*m(q) - 6*v(q). Calculate d(l(b)).", "a": "5547*b**2 - 774*b + 27" }, { "q": "Let b(n) = 694123*n**2. Let c(x) = 9*x**2. What is c(b(j))?", "a": "4336260652161*j**4" }, { "q": "Let l(w) = -w. Let m(r) = r**2 + 2*r. Let t(i) = -6*l(i) - 3*m(i). Let f(x) = 6 - 6*x + 10 - 16 - 5*x. Calculate t(f(d)).", "a": "-363*d**2" }, { "q": "Let x(h) = -281*h - 4. Let d(p) = 2*p**2 + 1879*p. What is d(x(n))?", "a": "157922*n**2 - 523503*n - 7484" }, { "q": "Let x(b) = 2*b + 28. Let o be x(-13). Let a(g) = -24*g**2 - 3*g**o - 9*g**2. Let t(y) = 2*y. What is a(t(s))?", "a": "-144*s**2" }, { "q": "Let g(t) = 83*t + 40. Let r(s) = -54*s - 25. Let z(v) = 5*g(v) + 8*r(v). Let o(x) = 23*x**2. Give z(o(y)).", "a": "-391*y**2" }, { "q": "Let o(n) = 9*n**2. Let y(k) = 460617*k**2. Give y(o(l)).", "a": "37309977*l**4" }, { "q": "Let j(v) be the second derivative of -309*v**4/4 + 832*v. Let c(g) = -g. Calculate c(j(y)).", "a": "927*y**2" }, { "q": "Let m(y) be the second derivative of -19*y**4/12 + 335*y. Let i(x) be the second derivative of x**3/6 + 5*x. What is m(i(b))?", "a": "-19*b**2" }, { "q": "Let o(f) = 26*f**2. Let j(i) be the first derivative of -47*i**3/3 + 1121. Give o(j(p)).", "a": "57434*p**4" }, { "q": "Let z(m) = -37*m**2 + 5*m + 5. Let d(w) = -41*w**2 + 6*w + 6. Let t(f) = -5*d(f) + 6*z(f). Let k(o) = 25*o**2. Calculate t(k(l)).", "a": "-10625*l**4" }, { "q": "Let x(a) = -61*a**2. Let z(g) = -3*g**2 - 2*g + 32825. What is z(x(b))?", "a": "-11163*b**4 + 122*b**2 + 32825" }, { "q": "Let z(o) be the second derivative of -71*o**4/12 - 1432*o. Let v(l) = -3*l. Give v(z(p)).", "a": "213*p**2" }, { "q": "Let j(f) = -364*f**2. Let z(v) = -v**2 + 12*v - 107. Give z(j(m)).", "a": "-132496*m**4 - 4368*m**2 - 107" }, { "q": "Let z(p) be the second derivative of p**4/4 - 152*p. Let v(m) = -284*m. Give z(v(a)).", "a": "241968*a**2" }, { "q": "Let y(r) = -16*r - 20. Let m(a) be the third derivative of a**4/8 - 2*a**2 - 678. Give m(y(x)).", "a": "-48*x - 60" }, { "q": "Let b(c) = -14*c. Let l(n) = -3*n - 19. Let m = 0 - 16. Let d be l(m). Let j(f) = 31*f - 58*f + d*f. Give j(b(a)).", "a": "-28*a" }, { "q": "Let b(y) = -9*y**2 - 20*y + 1. Let l(o) = -759*o + 1. Determine b(l(n)).", "a": "-5184729*n**2 + 28842*n - 28" }, { "q": "Let y(p) = -22*p. Suppose -5*i - 5 = -15. Let o(z) = -20*z**2 + 11*z**i + 5*z**2. Determine y(o(d)).", "a": "88*d**2" }, { "q": "Let x(z) = 1334*z**2 - 198*z + 8. Let p(f) = -3*f**2. Give x(p(g)).", "a": "12006*g**4 + 594*g**2 + 8" }, { "q": "Let w(a) = -35079*a - 76. Let v(q) = 2*q. Give w(v(k)).", "a": "-70158*k - 76" }, { "q": "Let t(w) = -4*w**2. Let j(v) = -1883293*v. What is t(j(b))?", "a": "-14187170095396*b**2" }, { "q": "Let k(v) = -323608 + 323608 + 2*v. Let h(s) = -464*s. Give k(h(x)).", "a": "-928*x" }, { "q": "Let c(l) be the first derivative of -21*l**2/2 - 339. Let s(t) = 2*t**2 - 8*t. Calculate c(s(n)).", "a": "-42*n**2 + 168*n" }, { "q": "Let y(g) = 159*g - 9. Let x(i) = -672*i. Calculate y(x(d)).", "a": "-106848*d - 9" }, { "q": "Let v(g) = 1440*g. Let l(w) = 4779*w. Give v(l(p)).", "a": "6881760*p" }, { "q": "Let z(w) be the third derivative of 23*w**5/12 + 2*w**2. Let x(f) be the third derivative of f**4/12 - 14*f**2 - 3*f + 1. Give x(z(u)).", "a": "230*u**2" }, { "q": "Let z(c) = 5951702*c**2. Let p(q) = 5*q. Calculate p(z(j)).", "a": "29758510*j**2" }, { "q": "Let g(o) = -4*o**2 + 8*o. Let z(x) = -x**2 + 3*x. Let f(c) = 3*g(c) - 8*z(c). Let d = -129 + 145. Let w(q) = -5*q - 10*q + d*q - 6*q. Determine w(f(a)).", "a": "20*a**2" }, { "q": "Let d(g) = 4*g + 2164. Let n(l) = 2*l - 156. Calculate d(n(p)).", "a": "8*p + 1540" }, { "q": "Let n(i) be the third derivative of i**5/30 + 23*i**2. Let z(s) = s. Let v be 1 - 5/(2 - 1). Let q(m) = -7*m. Let p(j) = v*q(j) - 4*z(j). Determine n(p(l)).", "a": "1152*l**2" }, { "q": "Let m(a) = -11*a**2. Let w(d) be the third derivative of -d**6/144 + 53*d**4/24 - 14*d**2. Let j(u) be the second derivative of w(u). What is m(j(n))?", "a": "-275*n**2" }, { "q": "Let g(f) = -18*f**2. Let l be (-48)/(-8)*(-2)/(-4). Let v(s) = -3 - 3 + 6 + l*s. Give v(g(p)).", "a": "-54*p**2" }, { "q": "Let y(z) = 11*z. Let h be 5 + 3/6*(4 + -10). Suppose 3*a + 55 = 5*p, -3*p + 2*p + 11 = -h*a. Let g(i) = -7 + i - 4 + p. Calculate y(g(u)).", "a": "11*u" }, { "q": "Suppose 40*f + 6 = -4*t + 42*f, 0 = 2*t - 5*f + 15. Let c(b) be the third derivative of 13*b**2 + 0 + 0*b**3 + 1/2*b**4 + t*b. Let p(l) = -2*l. What is p(c(g))?", "a": "-24*g" }, { "q": "Let l(f) = 105464*f. Let x(r) = -6*r - 5. Determine x(l(v)).", "a": "-632784*v - 5" }, { "q": "Let k(b) be the second derivative of b**4/12 - b. Let i(h) be the second derivative of h**3/6 - 42*h**2 + 497*h. Calculate i(k(v)).", "a": "v**2 - 84" }, { "q": "Let v(m) = 2*m**2 - 125. Let w(a) be the first derivative of -a**2 - 940. What is v(w(k))?", "a": "8*k**2 - 125" }, { "q": "Let t(a) be the second derivative of 2*a**3/3 + 1285*a. Let g(j) = 54*j**2 - 8*j. Calculate g(t(z)).", "a": "864*z**2 - 32*z" }, { "q": "Let i(j) = -j - 14. Let v(a) = 7. Let y(p) = 3*i(p) + 6*v(p). Let m(g) = -14*g**2 - 11*g. Determine y(m(q)).", "a": "42*q**2 + 33*q" }, { "q": "Let s(m) be the first derivative of -m**3/3 + 12*m - 746. Let b(d) = 4*d**2. Give b(s(u)).", "a": "4*u**4 - 96*u**2 + 576" }, { "q": "Let d(j) = 25*j**2. Let y(t) be the third derivative of -5*t**5/6 - 227*t**2 + 3*t. Calculate y(d(p)).", "a": "-31250*p**4" }, { "q": "Let x(l) = -l**2 - 2015*l + 2015*l. Let b(o) = -o. Let p(y) = 19*y + 2. Let n(k) = -6*b(k) + p(k). Calculate n(x(h)).", "a": "-25*h**2 + 2" }, { "q": "Let u be (-4)/(16/(-12)) - 6. Let a be (-1916)/16*(-1 + u). Let v(f) = a*f - 479*f - 4*f**2. Let d(p) = -2*p. Determine v(d(q)).", "a": "-16*q**2" }, { "q": "Let k(x) = 2*x. Let s(l) = -389. Let c(i) = i - 1. Let z(a) = 389*c(a) - s(a). What is k(z(u))?", "a": "778*u" }, { "q": "Let d = 30 - 11. Let w(o) = d*o - 2 + 2. Let h(y) = -362*y + 224*y + 140*y. What is h(w(r))?", "a": "38*r" }, { "q": "Let r(s) = -272*s. Let p(b) = 102*b. Let c(j) = -27*j. Let k(m) = -15*c(m) - 4*p(m). Give r(k(d)).", "a": "816*d" }, { "q": "Let g(l) = -111797*l. Let i(x) = 134*x. Determine i(g(a)).", "a": "-14980798*a" }, { "q": "Let z(y) = -2*y**2. Let t(w) = 1120989*w. Give t(z(c)).", "a": "-2241978*c**2" }, { "q": "Let h(y) = -4*y**2. Suppose 0 = -5*j - 2*k - 4, 3*j - 4*k - 9 + 1 = 0. Suppose -5*m = -25, z = -j*z + m. Let d(n) = 2*n - n - z*n. Determine d(h(b)).", "a": "16*b**2" }, { "q": "Let s(z) = 52*z. Let h(v) = 10*v. Let c(t) = 16*h(t) - 3*s(t). Let k(a) = 62*a - 2. What is k(c(p))?", "a": "248*p - 2" }, { "q": "Let q(c) = -17*c**3 - 3*c**2 + 3*c + 5. Let b be q(-1). Let a(u) = b - 8*u + 4 - 20. Let s(z) = -6*z**2. Give s(a(i)).", "a": "-384*i**2" }, { "q": "Let g(y) = y - 1. Let b(p) = -8*p + 4. Let z(t) = b(t) + 4*g(t). Let m(f) = -f**2 + 5*f - 4. Let w be m(2). Let n(k) = 3*k + 5*k + w*k - k. Determine n(z(h)).", "a": "-36*h" }, { "q": "Let h(b) = 2372*b**2 + 21*b - 21. Let u(x) = -1581*x**2 - 15*x + 15. Let q(k) = -5*h(k) - 7*u(k). Let y(i) = -2*i. Give q(y(p)).", "a": "-3172*p**2" }, { "q": "Suppose -5*q = -4*v + 59, 1 = 2*q - q. Let m(i) = -26*i. Let c(w) = 5*w. Let n(h) = v*c(h) + 3*m(h). Let s(f) = -20*f. Determine s(n(a)).", "a": "-40*a" }, { "q": "Let j(u) be the second derivative of -u**4/4 - 3883*u. Let d(r) be the third derivative of -r**4/12 - 10*r**3/3 + r**2. Calculate j(d(m)).", "a": "-12*m**2 - 240*m - 1200" }, { "q": "Let z(q) = -6*q**2 - 4. Let w(v) = 1 - 6 - 4*v + 0 + 5. What is w(z(s))?", "a": "24*s**2 + 16" }, { "q": "Let o(r) = 2*r**2. Let x(z) = -6*z**2 + 50*z + 11. Let a(w) = -893*w + 3*w**2 + 868*w + 2 - 8. Let c(q) = 11*a(q) + 6*x(q). Give o(c(s)).", "a": "18*s**4 - 300*s**3 + 1250*s**2" }, { "q": "Let l(u) = 4*u**2 - 246*u - 105. Let o(y) = 3*y. Calculate l(o(d)).", "a": "36*d**2 - 738*d - 105" }, { "q": "Let u(c) = 4929*c**2 + 2728*c. Let t(w) = 29*w**2 + 16*w. Let y(p) = 341*t(p) - 2*u(p). Let s(m) = 59*m. Give y(s(n)).", "a": "107911*n**2" }, { "q": "Let r(m) = 3*m - 5. Let p(a) = 5*a - 8. Let t(j) = -5*p(j) + 8*r(j). Let h(z) = -16*z + 44*z - 25*z - 11*z. Determine h(t(l)).", "a": "8*l" }, { "q": "Let c(b) = -2*b**2 - 17*b - 292198. Let k(i) = i. Calculate k(c(r)).", "a": "-2*r**2 - 17*r - 292198" }, { "q": "Let j(m) = -76*m**2. Let z(k) = 74*k + 3 - 3 - 167*k + 88*k. What is z(j(p))?", "a": "380*p**2" }, { "q": "Let t(i) = 7*i**2. Let s be 12 + -16 - 2/(-1). Let r be s - (4 - 4) - 2. Let v(m) = -m**2. Let o(g) = -g**2. Let a(h) = r*o(h) + v(h). What is a(t(w))?", "a": "147*w**4" }, { "q": "Let z(k) = 2 + 3*k - 5*k + k + 0*k. Let r(t) = 6*t - 11. Let d(c) = -2*r(c) - 11*z(c). Let h(l) = -41 - 2*l + l + 41 - 2*l. Calculate d(h(f)).", "a": "3*f" }, { "q": "Let n(k) = -16*k**2. Let y(g) = g**2 - 2. Let p(i) be the third derivative of i**5/4 - 11*i**3/2 + i**2 + 35. Let h(t) = 2*p(t) - 33*y(t). Determine n(h(o)).", "a": "-144*o**4" }, { "q": "Let a(s) = 12*s**2. Let k(b) = 3*b**2 + 3*b - 41. Calculate k(a(o)).", "a": "432*o**4 + 36*o**2 - 41" }, { "q": "Let q(z) = 0*z + 3*z + 3*z - 2*z. Let k = 8 + -5. Let f(j) = 5*j**2 - 5*j**2 - k*j**2 - 4*j**2. What is q(f(c))?", "a": "-28*c**2" }, { "q": "Let k(t) = 27*t**2. Let s(d) = 8*d**2 - d. Let h be s(-1). Let n = -4 + h. Let r(x) = x**2 + 2*x**2 - n*x**2. What is k(r(b))?", "a": "108*b**4" }, { "q": "Let n(d) = -157*d**2 + 10*d + 3. Let r(q) = -5*q**2. Determine n(r(i)).", "a": "-3925*i**4 - 50*i**2 + 3" }, { "q": "Let s(m) = 1464*m + 1473*m - 2926*m. Let j(i) = -5*i - 2. Let c(v) = 154*v + 63. Let k(u) = -2*c(u) - 63*j(u). What is k(s(g))?", "a": "77*g" }, { "q": "Let l(j) = -11*j. Let u(d) = 26539*d + 7. Determine l(u(p)).", "a": "-291929*p - 77" }, { "q": "Let y(x) = -212*x. Let j = 617 + -414. Let v(p) = -101*p + j*p - 103*p. What is y(v(b))?", "a": "212*b" }, { "q": "Let j(h) be the first derivative of h**2/2 - 9*h + 781. Let l(b) = -7*b. Give l(j(c)).", "a": "-7*c + 63" }, { "q": "Let j(t) = -t. Let y(f) be the first derivative of 1289*f**2/2 + 871. Give j(y(g)).", "a": "-1289*g" }, { "q": "Let v(x) = -5*x. Let w(f) = -2*f**2 - f + 16965. Give v(w(g)).", "a": "10*g**2 + 5*g - 84825" }, { "q": "Let h(p) = -9*p. Let i(f) be the third derivative of 17*f**4/12 - f**3/3 - 6*f**2 + 24*f. Give h(i(t)).", "a": "-306*t + 18" }, { "q": "Let o(x) = -106227*x. Let y(u) = 84*u. What is o(y(d))?", "a": "-8923068*d" }, { "q": "Let n(z) = -2*z. Suppose 5*m + 3*a + 0*a - 24 = 0, 2*a - 15 = -3*m. Let f(d) = -m*d - 2 + 12*d + 11*d + 2*d. Give n(f(v)).", "a": "-44*v + 4" }, { "q": "Let s(y) = 2*y - 2*y - 7*y + 4*y. Let t(i) be the second derivative of 1/3*i**3 + 0*i**2 + 0 - 23*i. Give s(t(j)).", "a": "-6*j" }, { "q": "Let f(d) = 1684019*d. Let i(c) = -c. Calculate f(i(n)).", "a": "-1684019*n" }, { "q": "Let m(h) = h + 2. Let l be 18/(-3) + 15/3. Let c(g) = -1. Let k(a) = l*m(a) - 2*c(a). Let i(p) = -99*p**2. Give i(k(v)).", "a": "-99*v**2" }, { "q": "Let s(b) = -453*b - 427*b - 453*b + 1798*b - 439*b. Let q(m) = 1 + 2*m**2 - 1. Calculate q(s(k)).", "a": "1352*k**2" }, { "q": "Let k(x) = 242049*x**2. Let f(r) = 20*r. What is k(f(u))?", "a": "96819600*u**2" }, { "q": "Suppose 0 = 15*c + 2 + 58. Let d(i) = -7*i + 4. Let r(q) = -6*q + 4. Let b(g) = c*d(g) + 5*r(g). Let j(z) = z. Calculate j(b(a)).", "a": "-2*a + 4" }, { "q": "Let n(d) = -d**2. Let i(l) = l**2 - 2*l + 10. Let m be i(0). Let a(h) = 12*h + 13*h - m*h + 7*h. Calculate a(n(f)).", "a": "-22*f**2" }, { "q": "Let m(g) = -91*g. Let n(a) = -30860*a**2. Calculate m(n(o)).", "a": "2808260*o**2" }, { "q": "Let k(p) = 30*p**2. Let m(u) = 14*u - 51*u - 28*u. What is m(k(o))?", "a": "-1950*o**2" }, { "q": "Let i be -38*3/(-24) - (-3)/12. Let j(d) be the first derivative of 7*d**2 + 3 - i*d**2 - 6*d**2. Let y(b) = b**2. Determine y(j(h)).", "a": "64*h**2" }, { "q": "Let n(a) = 2*a. Let l(b) = -10*b**2 - 5*b. Let t(q) = 6*q + 10*q**2 - 5*q + 3*q. Suppose -51*z + 47*z = -20. Let y(j) = z*t(j) + 4*l(j). Give n(y(p)).", "a": "20*p**2" }, { "q": "Let z(n) be the third derivative of 0 + 0*n - 1/12*n**4 + 0*n**3 + 30*n**2. Let j(y) = y**2. Give z(j(x)).", "a": "-2*x**2" }, { "q": "Let k(z) = -3*z**2. Let c(b) = 2859058*b. Calculate c(k(d)).", "a": "-8577174*d**2" }, { "q": "Let m(w) = 1153855*w**2. Let o(f) = 11*f**2. Determine o(m(s)).", "a": "14645194971275*s**4" }, { "q": "Let z(i) = 10*i + 3202 - 1595 - 2*i - 1607. Let s(b) = 30*b**2. Give s(z(k)).", "a": "1920*k**2" }, { "q": "Let f(w) = -w**2 + 79*w**2 + 62*w**2. Let g(s) = 1995*s - 1000*s - 996*s. Calculate g(f(d)).", "a": "-140*d**2" }, { "q": "Let z(b) = -12779*b + 12779*b - 7*b**2. Let k(g) = 4*g. Let p(s) = -s. Let t(r) = 2*k(r) + 6*p(r). Give t(z(f)).", "a": "-14*f**2" }, { "q": "Let g(a) = -9*a. Let j(y) be the third derivative of 5*y**4 + 236*y**2 - y. Calculate j(g(d)).", "a": "-1080*d" }, { "q": "Let c(y) = 265*y**2 + 94*y**2 + 0*y**2 + 262*y**2. Let u(j) = -3*j**2. What is c(u(i))?", "a": "5589*i**4" }, { "q": "Let h(q) = -167915*q. Let j(n) = 9*n. Determine j(h(o)).", "a": "-1511235*o" }, { "q": "Let p(i) = i - 23. Let z(k) = k**2 - k - 731. Determine z(p(x)).", "a": "x**2 - 47*x - 179" }, { "q": "Let z(v) = -5*v**2. Let g(u) = 3*u - 16. Let j be g(6). Let i(h) = -15 + 15 + 9*h**j. What is i(z(o))?", "a": "225*o**4" }, { "q": "Let o(r) = 19629*r - 58. Let t(i) = -i. Calculate t(o(d)).", "a": "-19629*d + 58" }, { "q": "Let s(n) = -n. Let i(r) be the second derivative of 401*r**3/6 - 414*r. Determine i(s(q)).", "a": "-401*q" }, { "q": "Let r(o) = 48*o**2. Let c(f) be the third derivative of f**7/2520 - 7*f**4/24 - 5*f**3/6 + f**2. Let k(l) be the second derivative of c(l). Determine r(k(m)).", "a": "48*m**4" }, { "q": "Let w(y) = 12*y**2. Let v be (-13)/(52/(-6)) - (-6)/(-4). Let l(c) = 54*c + 0 - 44*c + v. Calculate w(l(x)).", "a": "1200*x**2" }, { "q": "Let j(k) = 95*k. Let d(y) = -245*y + 45. Let c(b) = -11*b + 2. Let n(u) = -45*c(u) + 2*d(u). Determine j(n(s)).", "a": "475*s" }, { "q": "Let c(s) = -12*s**2. Let d(i) = -249090*i**2. What is d(c(o))?", "a": "-35868960*o**4" }, { "q": "Suppose 515*r - 936 = 506*r. Let u(y) = -2*y + r + 3*y - 104. Let q(x) = 0*x + 4*x**2 + 0*x. Give u(q(s)).", "a": "4*s**2" }, { "q": "Let i(x) = 3*x**2. Let n(b) = 3 - 87*b**2 - 2 + 85*b**2. Let a(h) = 12*h**2 - 5. Let j(c) = -2*a(c) - 10*n(c). Give i(j(g)).", "a": "48*g**4" }, { "q": "Let f(c) = -335*c + 2. Let b(x) = -366*x + 1. Give f(b(n)).", "a": "122610*n - 333" }, { "q": "Let i(x) = -77838*x - 152. Let a(h) = -2*h. Calculate i(a(y)).", "a": "155676*y - 152" }, { "q": "Let c(d) = d**2. Let o(v) = -12*v + 3501. Calculate o(c(k)).", "a": "-12*k**2 + 3501" }, { "q": "Let n(v) = -618*v. Let z(a) = a + 2*a + 3*a - 14*a + 9*a. Determine n(z(l)).", "a": "-618*l" }, { "q": "Let c(g) = -611*g + 1235*g - 612*g - 6 - 2 + 3. Let j(x) = -9*x. Calculate j(c(m)).", "a": "-108*m + 45" }, { "q": "Suppose 0 = 3*z + 8 - 731. Let i(h) = 4*h + 241 - z. Let f(a) = 17*a. Determine f(i(k)).", "a": "68*k" }, { "q": "Let v(o) = -26*o**2. Let w(k) = -376201*k**2. Give w(v(y)).", "a": "-254311876*y**4" }, { "q": "Let i(s) = -10*s. Let c(m) = -308*m. Let o(y) = 4*c(y) - 126*i(y). Let x(n) = -28*n**2. Give o(x(h)).", "a": "-784*h**2" }, { "q": "Let d(j) = -2*j. Let i(q) = 15*q**2 + 77*q + 5. Let w(y) = -8*y**2 - 42*y - 3. Let t(l) = -3*i(l) - 5*w(l). Give t(d(g)).", "a": "-20*g**2 + 42*g" }, { "q": "Let k(o) = -412210*o. Let w(d) = -2*d**2. Calculate w(k(i)).", "a": "-339834168200*i**2" }, { "q": "Let d(l) be the first derivative of 2*l**3/3 - 1356. Let j(s) = 55*s**2 - 7. Determine j(d(w)).", "a": "220*w**4 - 7" }, { "q": "Suppose 6*o - 6 = 3*o. Let a(d) = -9*d**2 + 0*d**2 - 4*d**2 + 14*d**o. Let f(r) = -30*r. Calculate f(a(u)).", "a": "-30*u**2" }, { "q": "Let n(q) = -q + 2030. Let h(m) = 939*m. Determine n(h(u)).", "a": "-939*u + 2030" }, { "q": "Let s(h) = h**2. Let u(v) be the second derivative of -5*v**3 - 8*v**2 - 633*v - 2. Determine s(u(l)).", "a": "900*l**2 + 960*l + 256" }, { "q": "Let z(u) = 5*u**2. Let r(q) = q + 720583 + 59*q**2 - q - 720584. Calculate z(r(j)).", "a": "17405*j**4 - 590*j**2 + 5" }, { "q": "Let g(l) = 4*l. Let o(s) = s**3 + 8*s**2 - 13*s - 7. Let k be o(-9). Suppose 3*x - 7 = k. Let d(c) = -17*c**2 + x*c**2 + 6*c**2. Give g(d(f)).", "a": "4*f**2" }, { "q": "Let u(r) = r**2 - r - 5. Let l(o) = -6*o**2 + 2*o + 10. Let v(d) = l(d) + 2*u(d). Let s(t) = 6*t + 5. What is s(v(f))?", "a": "-24*f**2 + 5" }, { "q": "Let x be 73/6 - (-44)/(-264). Let m(o) = -18*o**2 - 11*o**2 + 39*o**2 - x*o**2. Let g(n) = n - 5. Give g(m(v)).", "a": "-2*v**2 - 5" }, { "q": "Suppose 0 = -5*k + 1397 + 223. Let z(c) = k*c - 324*c + 8*c**2. Let i(t) = t**2. What is i(z(s))?", "a": "64*s**4" }, { "q": "Let u(a) = -11*a**2 + 4. Let g(w) = 57*w**2 + 18. Give g(u(x)).", "a": "6897*x**4 - 5016*x**2 + 930" }, { "q": "Let o(v) = -2*v. Let n(k) = 731*k**2 - 50*k - 2. Let m(t) = 621351*t**2 - 42525*t - 1701. Let h(s) = 2*m(s) - 1701*n(s). Give o(h(l)).", "a": "1458*l**2" }, { "q": "Let b(s) = 139163*s + s**2 - 139163*s. Let z(y) = -2*y**2 - 5. Determine b(z(k)).", "a": "4*k**4 + 20*k**2 + 25" }, { "q": "Let t(g) = -g**2. Let w be (9/(-6))/((-6)/8). Suppose 28*p = 42*p - 28. Let q(r) = 16*r**2 - 16*r**w + 8*r**p. Calculate t(q(o)).", "a": "-64*o**4" }, { "q": "Let o(h) = -h. Let y(q) = -3*q**2 + 10*q + 6. Let f(d) = 6*d**2 - 23*d - 10. Let g(k) = 6*f(k) + 10*y(k). Give o(g(s)).", "a": "-6*s**2 + 38*s" }, { "q": "Let z(u) = 178*u**2 + 35*u + 10. Let k(h) = h**2 - 7*h - 2. Let d(g) = 10*k(g) + 2*z(g). Let f(v) = 3*v. Determine d(f(t)).", "a": "3294*t**2" }, { "q": "Let f(k) = 3*k - 3370. Let s(w) = 378*w**2. Calculate f(s(y)).", "a": "1134*y**2 - 3370" }, { "q": "Let x(h) = 4*h**2. Let o(y) be the third derivative of -481*y**4/24 - y**3/6 - 589*y**2. Calculate o(x(r)).", "a": "-1924*r**2 - 1" }, { "q": "Let o(y) = -61*y**2 + 10*y. Let d(r) = -24*r**2 + 2*r. Let b(v) = -3*d(v) + o(v). Let w(z) = 0*z - z + 4*z. What is w(b(t))?", "a": "33*t**2 + 12*t" }, { "q": "Let n(t) = 43*t + 53 - 14 - 45*t. Let f(b) = 3*b**2. Determine f(n(k)).", "a": "12*k**2 - 468*k + 4563" }, { "q": "Let i(v) = -42*v. Let o(y) be the third derivative of y**5/30 - 5*y**3/2 + 1405*y**2. Give o(i(c)).", "a": "3528*c**2 - 15" }, { "q": "Let g(l) be the second derivative of 9*l**3/2 - 12*l. Let h(q) be the third derivative of -q**4/24 + 140*q**2. What is h(g(o))?", "a": "-27*o" }, { "q": "Let r(z) = -15*z. Let h(f) = 20946*f**2 - 4*f. Give r(h(j)).", "a": "-314190*j**2 + 60*j" }, { "q": "Let f(p) be the first derivative of -7*p**6/360 - 11*p**3 + 66. Let q(c) be the third derivative of f(c). Let h(g) = -13*g**2. What is h(q(w))?", "a": "-637*w**4" }, { "q": "Let c(u) = 46*u. Let t(l) = 30*l - 55. What is t(c(h))?", "a": "1380*h - 55" }, { "q": "Let k(o) = o**2. Let b(t) = 86*t**2 - 3*t - 1. Let d(h) = -173*h**2 + 5*h + 1. Let q = 126 + -129. Let p(y) = q*d(y) - 5*b(y). Calculate p(k(u)).", "a": "89*u**4 + 2" }, { "q": "Let g(f) = -2*f**2 + 19. Let w(j) be the second derivative of 35*j**4/12 + 918*j. What is w(g(k))?", "a": "140*k**4 - 2660*k**2 + 12635" }, { "q": "Let n(h) = h**2. Let a(o) = 8193579*o**2. What is a(n(z))?", "a": "8193579*z**4" }, { "q": "Let m(q) = -4*q + 4*q + 3*q**2 - q**2. Let y(v) be the first derivative of -v**3/2 + 22*v - 2. Let k(w) be the first derivative of y(w). Determine m(k(j)).", "a": "18*j**2" }, { "q": "Let a(v) = 5738*v**2. Let c(x) = -2830*x. What is c(a(l))?", "a": "-16238540*l**2" }, { "q": "Let s(z) = -258*z - 234. Let w(l) = 39. Let b(y) = -s(y) - 6*w(y). Let d(g) = -g**2. Give d(b(x)).", "a": "-66564*x**2" }, { "q": "Let c(n) = 10*n. Let d(f) = 126*f**2 - 3*f + 8. Let q(a) = 85*a**2 - 2*a + 5. Let p(y) = 5*d(y) - 8*q(y). What is c(p(o))?", "a": "-500*o**2 + 10*o" }, { "q": "Let a(n) = -3*n. Let r(u) = -162*u + 1624. Let s be r(10). Let q(d) be the second derivative of -2*d + 1/3*d**s + 0 + 0*d**3 + 0*d**2. What is q(a(i))?", "a": "36*i**2" }, { "q": "Let g(w) be the third derivative of 0 + 0*w**3 + 59/24*w**4 - 15*w**2 + 2*w. Let h(n) = -n**2. Calculate h(g(p)).", "a": "-3481*p**2" }, { "q": "Let b(s) be the third derivative of 3*s**5/20 - 1099*s**2. Let a(t) = -3*t + 37. Give b(a(r)).", "a": "81*r**2 - 1998*r + 12321" }, { "q": "Let o(b) = 0*b - b - b. Let q(z) = -12*z. Let y(p) = 6*p. Let r(f) = -2*q(f) - y(f). Calculate r(o(d)).", "a": "-36*d" }, { "q": "Let j(u) = -42229*u**2. Let a(p) = -498*p. Give a(j(q)).", "a": "21030042*q**2" }, { "q": "Let m(o) = -11*o - 95. Let r(p) = 5*p + 46. Let u(a) = 3*m(a) + 7*r(a). Let v(w) be the third derivative of -w**5/60 - 2*w**2 - 5. What is v(u(f))?", "a": "-4*f**2 - 148*f - 1369" }, { "q": "Let w(d) be the third derivative of -35*d**4/24 + 2*d**3/3 + 4*d**2 - 62*d. Let o(t) = -t. Calculate o(w(n)).", "a": "35*n - 4" }, { "q": "Let p(m) be the first derivative of m**2 - 1. Let k be 24/(-36) + (-98)/(-3). Let v(b) = -34*b**2 + 12*b**2 + k*b**2. What is v(p(j))?", "a": "40*j**2" }, { "q": "Suppose -5*s + 10 = -2*o, -5*o + 2 = s - 0. Suppose -5*d - 2*g + 5 = o, -4*d - 3 + 7 = -3*g. Let y(a) = -d + 0 - a + 1. Let x(m) = -2*m. Determine x(y(t)).", "a": "2*t" }, { "q": "Let l(v) = v. Let m(a) = -4*a**2 + 96*a. Let n(z) = -6*z**2 + 38*z - 12*z + z**2 + 72*z. Let i(y) = -6*m(y) + 5*n(y). What is l(i(f))?", "a": "-f**2 - 86*f" }, { "q": "Let l(o) = 4*o**2 + 10. Let d be (1 + -9)*14/(-28). Let n(z) = -95*z - 4 + 96*z + d. What is n(l(t))?", "a": "4*t**2 + 10" }, { "q": "Let v(t) = -2*t**2. Let h(d) be the second derivative of -62*d + 0*d**2 + 1/3*d**3 + 0. Calculate v(h(b)).", "a": "-8*b**2" }, { "q": "Let o(v) = 17*v. Let w(n) = -2720*n**2 + 85*n + 255. Let q(h) = 97*h**2 - 3*h - 9. Let u(m) = 85*q(m) + 3*w(m). Determine u(o(x)).", "a": "24565*x**2" }, { "q": "Let a(i) = -i + 9. Let y be (6/4 + -2)/((-1)/146). Let g(l) = 38*l + 37*l - y*l. Determine g(a(s)).", "a": "-2*s + 18" }, { "q": "Let g(c) = 3291*c - 16 - 1657*c + 0 - 1658*c. Let d(b) = b. Determine d(g(o)).", "a": "-24*o - 16" }, { "q": "Let o(v) = -65*v + 6. Let z(x) = 54*x - 5. Let h(a) = 5*o(a) + 6*z(a). Let q(l) = 1486*l. Determine h(q(r)).", "a": "-1486*r" }, { "q": "Let f(t) = 4*t - 8. Suppose 22 = 2*g - 4*o, 5*o = 5*g - 49 + 14. Let u(a) = 40 - 77 + g*a + 37. Give f(u(d)).", "a": "12*d - 8" }, { "q": "Let s(c) = 2*c + 29. Let i(l) = -86627*l + 2. What is s(i(g))?", "a": "-173254*g + 33" }, { "q": "Let l(n) be the second derivative of -n**3/2 - 5*n. Let v(p) be the third derivative of p**5/15 - 3*p**2 - 1. Determine v(l(m)).", "a": "36*m**2" }, { "q": "Let v(l) = -2*l - 4. Let u(z) = -13*z - 22. Let h(r) = 2*u(r) - 11*v(r). Let c(k) = -206*k. What is c(h(n))?", "a": "824*n" }, { "q": "Let v(h) = 3*h + 17. Let b be v(-5). Let d(y) = 11*y**b + 4 - 12*y**2 - 4. Let p(f) be the third derivative of -13*f**4/24 + 2*f**2. Give d(p(x)).", "a": "-169*x**2" }, { "q": "Let o(i) = -10*i. Let k be (8/20 - 21/15) + 4. Suppose 3 - 11 = -4*p. Let b(g) = -g - 3*g + k*g + p*g. What is b(o(z))?", "a": "-10*z" }, { "q": "Let c(m) = -120*m + 22. Let a be 24/(-20)*110/(-6)*-2. Let w(p) = -17*p + 3. Let n(r) = a*w(r) + 6*c(r). Let q(s) = -s. Give q(n(z)).", "a": "-28*z" }, { "q": "Let g(j) = -12*j**2 - 36. Let l(u) = -1. Let a(z) = g(z) - 36*l(z). Let r(t) be the first derivative of -1/2*t**2 + 64 + 0*t. Determine a(r(n)).", "a": "-12*n**2" }, { "q": "Let x(s) be the third derivative of -3*s**4/4 - 44*s**2. Let y(o) = -o**2 - 6*o + 3. Let n(t) = 2*t - 1. Let r(h) = -3*n(h) - y(h). Give r(x(d)).", "a": "324*d**2" }, { "q": "Let k(c) = -226*c. Let m(t) be the second derivative of -5*t**3/3 - 803*t. Give m(k(a)).", "a": "2260*a" }, { "q": "Let f(d) = 3149131*d. Let w(h) = -7*h**2. Determine w(f(v)).", "a": "-69419182386127*v**2" }, { "q": "Let p(x) = 2*x - 4. Let h be p(8). Let c = -10 + h. Let v(r) = r**2 + r**2 + 0*r**c + r**2. Let f(g) = 2*g. Give f(v(y)).", "a": "6*y**2" }, { "q": "Let y = 151 + -149. Let o(g) = 16*g**2 - 6*g**2 - 13*g**y. Let n(u) = 2*u. Give o(n(t)).", "a": "-12*t**2" }, { "q": "Let k(u) = 9*u. Let j(g) = -506*g. Let f(v) = -2*j(v) - 115*k(v). Let i(d) be the first derivative of 0*d**2 + 0*d + 1/3*d**3 + 1. Determine i(f(n)).", "a": "529*n**2" }, { "q": "Let j(f) = -36433*f. Let d(i) = -5*i - 5. What is d(j(q))?", "a": "182165*q - 5" }, { "q": "Let f(q) = -3*q. Let r(b) = -2*b - 26. Let u be r(-14). Let y(l) = -2 + 495*l**2 + 2 - 546*l**u. Determine f(y(p)).", "a": "153*p**2" }, { "q": "Let l(i) = 135*i - 255*i + 2 + 129*i. Let c(u) = 522*u + 117. Let k(s) = -6*c(s) + 351*l(s). Let f(m) = -2*m**2 - 4*m**2 + 5*m**2. Determine f(k(r)).", "a": "-729*r**2" }, { "q": "Let l(h) be the second derivative of -h**3/6 + 3*h. Suppose -19*v + 2*v + 340 = 0. Let g(m) = -v*m + 9*m + 9*m + 8*m. Give g(l(i)).", "a": "-6*i" }, { "q": "Let m(b) = 13*b**2 - 2*b - 2. Let s(h) = 6*h**2 - h - 1. Let c(u) = m(u) - 2*s(u). Let n = -18 + 25. Let k(l) = 7*l - n*l - l**2 - l**2. Give c(k(w)).", "a": "4*w**4" }, { "q": "Let b(z) = -z. Let p(r) = -8070*r + 87. Determine p(b(g)).", "a": "8070*g + 87" }, { "q": "Let x(k) = 9*k - 50. Let p(v) = 7*v - 40. Let f(n) = 5*p(n) - 4*x(n). Let m(l) = 5*l + 9. Let h(u) = -u. Let y(z) = 4*h(z) + m(z). Give y(f(q)).", "a": "-q + 9" }, { "q": "Let s(w) = 102*w - 1. Let d(p) be the second derivative of p**3/6 - 65*p - 14. What is d(s(k))?", "a": "102*k - 1" }, { "q": "Suppose 4*p - 5 - 23 = -d, -2*d - 5*p = -44. Let y(s) = -45*s - d*s + 4*s + 9*s. Let m(x) = -x**2. Calculate y(m(r)).", "a": "44*r**2" }, { "q": "Let x(r) = 296*r**2 + 272*r**2 - 140*r**2. Let l(t) = -4*t. Determine x(l(g)).", "a": "6848*g**2" }, { "q": "Let l(j) = 11317035*j**2. Let x(q) = 2*q. What is l(x(h))?", "a": "45268140*h**2" }, { "q": "Let s(y) be the second derivative of -y**3/6 - 2*y + 432. Let f(c) = -4*c - 2*c - 4*c - 28*c. Give s(f(r)).", "a": "38*r" }, { "q": "Let p(l) = -2*l**2. Let u = -3 + 17. Suppose -10*c = -u*c + 40. Let x(i) = c*i**2 - 6*i**2 - 2*i**2. Calculate x(p(j)).", "a": "8*j**4" }, { "q": "Let g(b) be the first derivative of b**2/2 - 775*b + 134. Let n(r) = -r**2. Give n(g(u)).", "a": "-u**2 + 1550*u - 600625" }, { "q": "Let w(k) = 122*k**2 + 7*k. Let q(v) = 2*v + 237. Give w(q(g)).", "a": "488*g**2 + 115670*g + 6854277" }, { "q": "Let s(i) = -9*i - 5. Let o be 3*(-7)/42*(1 - -3). Let b(w) = 4*w + 2. Let k(h) = o*s(h) - 5*b(h). Let m(d) = -8*d**2 + 4*d - 4*d + 2*d**2. Calculate m(k(f)).", "a": "-24*f**2" }, { "q": "Let t be (-131)/4 - 6/24. Let u = t - -41. Let h(f) = -18*f + 8*f + u*f. Let v(b) = -4*b. Calculate v(h(z)).", "a": "8*z" }, { "q": "Let r(w) be the first derivative of 7*w**6/360 + 7*w**3 + 61. Let m(n) be the third derivative of r(n). Let z(l) = -2*l**2. Give m(z(s)).", "a": "28*s**4" }, { "q": "Let g(r) = -r**3 - 8*r**2 - 9*r + 21. Let z be g(-6). Let t(q) = -z*q**2 + 15*q**2 - 2*q**2 - 9*q**2. Let s(m) = -30*m**2 + 1. Calculate t(s(h)).", "a": "900*h**4 - 60*h**2 + 1" }, { "q": "Let n(o) be the first derivative of 0*o**2 + 4/3*o**3 - 1 + 0*o. Let h(f) = -33*f + 189. Let j(z) = -17*z + 98. Let m(w) = 14*h(w) - 27*j(w). Give n(m(b)).", "a": "36*b**2" }, { "q": "Let g(x) = -4798 + 734*x**2 + 4798 + 651*x**2 + 208*x**2. Let f(i) = -i. What is g(f(o))?", "a": "1593*o**2" }, { "q": "Let z(n) be the first derivative of -3 + 1/2*n**2 - 48*n. Let i(h) = -2*h**2. Determine i(z(o)).", "a": "-2*o**2 + 192*o - 4608" }, { "q": "Let l(z) = 120*z. Let y(i) = -1634*i - 19. What is l(y(r))?", "a": "-196080*r - 2280" }, { "q": "Let n(s) = 6*s**2 + 1. Let p(k) = 193*k + 1 + 0 - 178*k - 1. Give n(p(b)).", "a": "1350*b**2 + 1" }, { "q": "Let p(n) = -n - 12. Let g(l) = l**3 + 5*l**2 + 5*l. Let x be g(-4). Let h(a) = 6*a - 4. Let u(k) = -5*k + 3. Let q(w) = x*u(w) - 3*h(w). What is p(q(m))?", "a": "-2*m - 12" }, { "q": "Let s(p) = 51*p. Let t(l) = -10*l**2 + 75*l**2 - 7*l**2 - 31*l**2. What is s(t(f))?", "a": "1377*f**2" }, { "q": "Let w(k) = -11137072*k**2. Let y(x) = -x**2. What is w(y(i))?", "a": "-11137072*i**4" }, { "q": "Let l(w) = -4*w. Suppose -4*j - 2*a + 67 = -73, 3*a = 4*j - 130. Let h(n) = -j*n - 28 + 28. Determine l(h(g)).", "a": "136*g" }, { "q": "Let h(c) = 5*c**2 - 79*c - 13. Let p(i) = 14*i. Give p(h(j)).", "a": "70*j**2 - 1106*j - 182" }, { "q": "Let t(g) = 313*g - 2. Let z(h) = 414*h**2. Determine t(z(k)).", "a": "129582*k**2 - 2" }, { "q": "Let c(j) = 52*j. Let s(b) be the third derivative of -1/20*b**5 + 0*b**4 + 13*b**2 + 1 + 0*b + 0*b**3. Calculate s(c(d)).", "a": "-8112*d**2" }, { "q": "Let f(k) = -286*k**2. Let s(x) = -12*x + 42. Let m(i) = -3*i + 10. Let v(a) = 21*m(a) - 5*s(a). Determine f(v(u)).", "a": "-2574*u**2" }, { "q": "Let t(r) = 22*r. Let p(z) = -21*z**2 + 21*z - 185. What is p(t(c))?", "a": "-10164*c**2 + 462*c - 185" }, { "q": "Let a(g) = 1344*g**2. Let f(l) = 1089*l - 1089*l + 2*l**2. Calculate a(f(v)).", "a": "5376*v**4" }, { "q": "Let r = 5 + 16. Let q be -2 + r/3 + -2. Let v(j) = -q*j + 0*j + 2*j. Let u(w) = 7*w. Calculate u(v(o)).", "a": "-7*o" }, { "q": "Let f(l) = -l**2. Let o(v) = -226073*v + 1366. Let j(i) = -663*i + 4. Let m(w) = -683*j(w) + 2*o(w). Calculate m(f(c)).", "a": "-683*c**2" }, { "q": "Let p(c) = -c**2 - 12*c - 2. Let y be p(-11). Let g = 18 - y. Let n(j) = -g*j - 15 - 12 + 27. Let d(m) = m**2. Calculate d(n(z)).", "a": "81*z**2" }, { "q": "Let r(p) = -2*p**2. Let b be 45/(-180)*(-3)/((-27)/(-12)). Let d(m) be the first derivative of 0*m**2 - 16 + 0*m - b*m**3. Determine d(r(w)).", "a": "-4*w**4" }, { "q": "Let y(x) = -3*x + 9. Let i(j) = 30*j - 108. Let b(s) = s - 4. Let h(g) = 27*b(g) - i(g). Determine y(h(k)).", "a": "9*k + 9" }, { "q": "Let v(m) be the first derivative of -m**3 - 3*m - 2*m + 3 + 5*m. Let q(y) = 5*y + 3*y + 2*y - 6*y + 3*y. Give v(q(f)).", "a": "-147*f**2" }, { "q": "Let v(a) = -65*a**2 + 1. Let i(x) = -2111*x. Calculate v(i(m)).", "a": "-289660865*m**2 + 1" }, { "q": "Let q(x) = 2*x**2 - 73*x + 4. Let b(f) = -6*f**2 + 214*f - 11. Let t(o) = -4*b(o) - 11*q(o). Let s(m) = 8*m. What is s(t(n))?", "a": "16*n**2 - 424*n" }, { "q": "Let r(t) = -t**2. Let y(n) be the first derivative of -24*n**3 + 7*n**3 - 41*n**3 + 5. Determine y(r(u)).", "a": "-174*u**4" }, { "q": "Let h(f) = 4*f**2. Let w(r) be the second derivative of -r**4/12 + 61*r**2 - 5*r. Calculate w(h(c)).", "a": "-16*c**4 + 122" }, { "q": "Let q(v) be the first derivative of v**6/360 - 3*v**5/20 + 2*v**3/3 - 7*v + 44. Let g(b) be the third derivative of q(b). Let n(f) = f. Determine n(g(z)).", "a": "z**2 - 18*z" }, { "q": "Let x(g) = -273*g. Let h(i) = 39849*i**2. Determine x(h(l)).", "a": "-10878777*l**2" }, { "q": "Let x(u) = 477628*u + 4. Let s(a) = 3*a. What is s(x(i))?", "a": "1432884*i + 12" }, { "q": "Let r(q) = q. Let a(d) be the third derivative of 1/12*d**4 - 5 - 3*d**2 + 9/2*d**3 + 0*d. Calculate a(r(x)).", "a": "2*x + 27" }, { "q": "Let p(t) be the second derivative of -7*t**4/6 + 225*t - 1. Let j(a) be the third derivative of a**5/60 + 2*a**2. Determine p(j(v)).", "a": "-14*v**4" }, { "q": "Let k(i) be the second derivative of -1 + 0*i**2 + 7*i + 0*i**3 - 1/3*i**4. Let p(d) = -23*d**2. What is p(k(w))?", "a": "-368*w**4" }, { "q": "Let u(r) = 47*r**2 - 10*r. Let i(k) = 7*k - 135. Let s(z) = -z + 18. Let n(l) = -2*i(l) - 15*s(l). Determine n(u(q)).", "a": "47*q**2 - 10*q" }, { "q": "Let s(o) = 2*o**2 + 210*o. Let d(x) = x**2 + 21*x. Let u(i) = 3*i. Let t(v) = d(v) - 7*u(v). Calculate s(t(y)).", "a": "2*y**4 + 210*y**2" }, { "q": "Let j(n) = -8*n - 7. Suppose -6*l - 273 = 7*l. Let u(c) = c + 1. Let m(k) = l*u(k) - 3*j(k). Let h(a) be the second derivative of a**3/3 - 2*a. Give m(h(w)).", "a": "6*w" }, { "q": "Let q(v) = v**2 + 36*v + 182. Let m be q(-30). Let k(d) be the second derivative of 0*d**2 - m*d + 0 + 14/3*d**3. Let p(u) = u. What is k(p(i))?", "a": "28*i" }, { "q": "Let p(i) = -5*i**2 - 943*i + 2. Let z(g) = 31*g. Calculate z(p(s)).", "a": "-155*s**2 - 29233*s + 62" }, { "q": "Let j(l) = -7*l. Let t(d) be the second derivative of 5*d**3/2 + d**2/2 - 860*d. Determine j(t(y)).", "a": "-105*y - 7" }, { "q": "Let t(l) = 11*l. Let c(u) be the second derivative of -u**3/6 + 11*u**2 + 1160*u. Determine c(t(f)).", "a": "-11*f + 22" }, { "q": "Let m(i) = 8*i - 6. Let n(o) be the second derivative of o - 1 + 0*o**3 + 0*o**2 + 1/6*o**4. Calculate n(m(v)).", "a": "128*v**2 - 192*v + 72" }, { "q": "Let m(q) = 4*q**2 + 21567*q - 3. Let t(k) = -3*k**2. What is m(t(o))?", "a": "36*o**4 - 64701*o**2 - 3" }, { "q": "Let o(q) = -1182*q - 31. Let a(g) = 6*g**2 - 20*g. Determine a(o(f)).", "a": "8382744*f**2 + 463344*f + 6386" }, { "q": "Let h(j) = -3470*j**2. Let d(g) = -613*g. What is h(d(u))?", "a": "-1303918430*u**2" }, { "q": "Let v(j) = -18*j**2 - 9. Let q(c) = c**2 - 4*c. Let h(t) = 2*t**2 - 6*t. Let s(a) = 2*h(a) - 3*q(a). Give s(v(d)).", "a": "324*d**4 + 324*d**2 + 81" }, { "q": "Let p(h) = -5*h**2. Let u(t) = -26 - 11*t**2 + 4*t**2 + 31 - 2*t**2. Let l(o) = 4*o**2 - 2. Let y(a) = -5*l(a) - 2*u(a). Give p(y(w)).", "a": "-20*w**4" }, { "q": "Let f(s) be the first derivative of -7*s**3/3 - 232. Let p(m) = -20*m**2. Give p(f(d)).", "a": "-980*d**4" }, { "q": "Let a(o) = 56*o + 14. Let p(j) = j + 2*j - 2*j - 89 + 89. What is p(a(u))?", "a": "56*u + 14" }, { "q": "Let q(s) = 3*s + 2*s + s - 5*s. Let r(w) be the third derivative of 0 + 0*w - 3/8*w**4 + 0*w**3 - 14*w**2. Determine q(r(t)).", "a": "-9*t" }, { "q": "Let f(v) = 11*v + 2. Let r(x) be the first derivative of x**6/180 + 2*x**3/3 - 31*x**2/2 + 13. Let z(h) be the third derivative of r(h). What is z(f(n))?", "a": "242*n**2 + 88*n + 8" }, { "q": "Let b(p) be the first derivative of -13*p**3/3 - 2. Let c(i) be the first derivative of 7*i**3/3 - 7423. Give c(b(q)).", "a": "1183*q**4" }, { "q": "Suppose 31 + 29 = 4*r + 3*h, -2*r + 3*h = -12. Let w be r/(-20)*(-2 - 28). Let l(k) = -w*k - 4*k - 4*k. Let p(u) = -u. Calculate p(l(t)).", "a": "26*t" }, { "q": "Let z be 25/2 + (-6)/(-4). Let o be 24/z - (-16)/56. Let k(j) = -2*j**o - 5*j**2 - 3*j**2 + 8*j**2. Let d(p) = 9*p**2. Give d(k(r)).", "a": "36*r**4" }, { "q": "Let z(s) = 5*s**2. Let i(c) = 5365087*c**2. Calculate z(i(q)).", "a": "143920792587845*q**4" }, { "q": "Let l(b) = -3*b. Let g(z) = 56*z + 26770. Calculate l(g(k)).", "a": "-168*k - 80310" }, { "q": "Let g(w) = 6*w. Let a(t) = 3270608*t. Calculate g(a(n)).", "a": "19623648*n" }, { "q": "Let s(r) = 1826*r**2. Let g(j) = -14559*j + 14559*j - j**2. Give g(s(z)).", "a": "-3334276*z**4" }, { "q": "Let w(d) = d**2 + 48. Let v(o) = 4*o**2 + 162. Let x(f) = 2*v(f) - 7*w(f). Let y(i) = -i**2. What is x(y(n))?", "a": "n**4 - 12" }, { "q": "Let r(b) = 274*b. Let i(f) = -9*f**2 + 4*f + 8. Let y(n) = 2*n**2 - n - 2. Let q(z) = -3*i(z) - 12*y(z). Determine q(r(s)).", "a": "225228*s**2" }, { "q": "Let n(c) = 3*c**2 - 7. Let a(u) = 2*u**2 - 5. Let b(f) = -7*a(f) + 5*n(f). Let d(q) be the second derivative of -199*q**4/12 + 1529*q. Give b(d(r)).", "a": "39601*r**4" }, { "q": "Let d(f) = 7*f**2. Let b(c) be the first derivative of -7*c**4/8 + 25*c**2/2 - 59. Let w(k) be the second derivative of b(k). What is d(w(j))?", "a": "3087*j**2" }, { "q": "Let z(m) = 95*m**2 - m. Let j(o) = -510*o - 2. Calculate j(z(k)).", "a": "-48450*k**2 + 510*k - 2" }, { "q": "Let y(g) = 99*g**2 + 118*g**2 - 246*g**2. Let c(i) = -3 - 3*i + 2 + 1. What is c(y(x))?", "a": "87*x**2" }, { "q": "Let p(g) = -38*g**2. Let z(a) = 28*a - 45. Let b(c) = -55*c + 75. Let q(t) = 3*b(t) + 5*z(t). Give q(p(x)).", "a": "950*x**2" }, { "q": "Let i(f) = -f**2 + 27*f. Let r(q) = -2712*q. Calculate r(i(d)).", "a": "2712*d**2 - 73224*d" }, { "q": "Let d(p) = 1835732*p - 2. Let z(w) = -w. Calculate z(d(h)).", "a": "-1835732*h + 2" }, { "q": "Let q(s) = 7*s**2. Let b(d) = -6555*d - 37. Calculate b(q(a)).", "a": "-45885*a**2 - 37" }, { "q": "Let m(b) be the first derivative of b**5/120 + 24*b**3 - 59. Let j(z) be the third derivative of m(z). Let k(t) = t + 11. Give j(k(x)).", "a": "x + 11" }, { "q": "Let a(u) = -3*u. Let w(p) = -1768*p - 96. Calculate a(w(b)).", "a": "5304*b + 288" }, { "q": "Let p(t) = 29037*t. Let u(j) = -j**2 + 99. What is u(p(l))?", "a": "-843147369*l**2 + 99" }, { "q": "Let j(l) = -24*l**2. Let y(u) = -10*u**2 - 7. Let n(d) = 6*d**2 - 1. Let p(k) = -2*n(k) - y(k). Calculate j(p(v)).", "a": "-96*v**4 + 864*v**2 - 1944" }, { "q": "Let t = -43 + 2. Let z = -39 - t. Let j(l) = -10*l**z + 4*l**2 + 9*l**2. Let x(p) = -p**2. What is x(j(i))?", "a": "-9*i**4" }, { "q": "Let q = -429 + 437. Let u = -9 - -14. Let v(f) = -f - u*f + q*f. Let g(l) = 12*l**2. What is v(g(s))?", "a": "24*s**2" }, { "q": "Let m = 209 - 185. Let x(l) = 23*l + 21*l + m*l - l. Let c(b) = b**2. Give c(x(z)).", "a": "4489*z**2" }, { "q": "Let g(f) be the first derivative of 10*f**2 - 2*f - 16502. Let a(p) = 6*p**2 - 5*p + 5. Let l(d) = -d**2 + d - 1. Let u(b) = -a(b) - 5*l(b). Calculate g(u(j)).", "a": "-20*j**2 - 2" }, { "q": "Let k(g) = g. Suppose -50*p - 56*p = 0. Let c(x) be the third derivative of 0*x + 0 - 9*x**2 + p*x**4 + 0*x**3 + 1/60*x**5. Give k(c(j)).", "a": "j**2" }, { "q": "Let h(p) = 6*p**2. Let l(d) = -9*d - 105. Let u be l(-12). Let j(z) = -3*z + u*z - 2*z**2. Determine j(h(b)).", "a": "-72*b**4" }, { "q": "Let f(b) = -4*b**2 + 562*b. Let j(v) = 200*v. What is j(f(l))?", "a": "-800*l**2 + 112400*l" }, { "q": "Let z(o) = -5*o. Let l(m) = 24*m + 5. Suppose 2*g - 5*k = 8, 3*k = 4*g + 4*k + 28. Let p(b) = 25*b + 6. Let v(u) = g*l(u) + 5*p(u). Calculate v(z(c)).", "a": "95*c" }, { "q": "Let l(w) be the first derivative of -w**2 + 13*w + 9. Let h(t) be the first derivative of 3*t**2/2 - 467. Determine l(h(x)).", "a": "-6*x + 13" }, { "q": "Let m(s) = -26754*s. Let y(t) = 6*t**2 - 2. What is y(m(i))?", "a": "4294659096*i**2 - 2" }, { "q": "Let o(b) = -4*b**2. Let f(h) = 1005660*h**2. Determine f(o(p)).", "a": "16090560*p**4" }, { "q": "Let o(i) be the second derivative of -i**4/4 - 38*i. Let p(j) = 257*j + 1. Let g be p(2). Let z(k) = 515 - 3*k**2 - g. Determine z(o(u)).", "a": "-27*u**4" }, { "q": "Let j(t) = t**2. Let x(w) = -460*w**2 + 3*w + 4. What is x(j(i))?", "a": "-460*i**4 + 3*i**2 + 4" }, { "q": "Let y(p) = p**2. Suppose 2*b = 3 - 1. Let h be (-2 + -7)*b/(-3). Let g(o) = -4*o + h*o - o. Calculate y(g(f)).", "a": "4*f**2" }, { "q": "Let j(m) = -402 - m + 402 + 5*m. Let g(w) be the first derivative of w**6/180 + w**3 - 6. Let y(n) be the third derivative of g(n). What is y(j(h))?", "a": "32*h**2" }, { "q": "Let k(u) = -5*u**2. Let j be -7 - (2 - (-4 - -9)). Let l be (70/4)/5 - 2/j. Let a(p) = -6*p + 0*p + l*p + 4*p. Calculate k(a(t)).", "a": "-20*t**2" }, { "q": "Let t(z) = 5*z. Let r(o) = -387 + 3*o + 387. Let s(c) = -5*r(c) + t(c). Let a(k) = 3*k**2. Give a(s(w)).", "a": "300*w**2" }, { "q": "Let j(f) = -1553920*f. Let k(r) = -5*r**2. Calculate k(j(y)).", "a": "-12073336832000*y**2" }, { "q": "Let h(d) = 51*d. Let z(w) = -w. Suppose 5*q + 2*m - 34 = -0*m, q = 3*m. Let f(o) = o. Let u(k) = q*f(k) + 3*z(k). Give u(h(v)).", "a": "153*v" }, { "q": "Let n(m) = -m**2. Let z(k) = 64 + k + k - 49 - 5*k. Give z(n(v)).", "a": "3*v**2 + 15" }, { "q": "Let n = -63 - -65. Let s(x) = 18*x**2 - 4*x**2 - 4*x**n + 0*x**2. Let o(q) = -6*q**2. Calculate o(s(j)).", "a": "-600*j**4" }, { "q": "Let y(t) = 77*t - 9. Let a(k) = -77*k + 6. Let r(v) = -3*a(v) - 2*y(v). Let s(h) = 14*h**2. Determine r(s(d)).", "a": "1078*d**2" }, { "q": "Let m(p) = p**2 + 1054702 - 1054702. Let i(r) = 8*r + 5. Calculate i(m(h)).", "a": "8*h**2 + 5" }, { "q": "Let i(y) = 21*y + 45649. Let h(u) = -4*u. Calculate h(i(t)).", "a": "-84*t - 182596" }, { "q": "Let u(p) = 2*p**2. Let i be 0 + (11/(-2))/((-5)/70). Let m(t) = -27*t - 4. Let j be m(-3). Let o(k) = -k**2 - j + i. Give u(o(r)).", "a": "2*r**4" }, { "q": "Let c = -12 - -55. Let x(y) = -77*y + 36*y + c*y. Let t(m) = -2*m**2 - 19*m. Determine x(t(v)).", "a": "-4*v**2 - 38*v" }, { "q": "Let i(z) = -43*z**2 - 220*z + 17. Let m(g) = -2*g. Calculate i(m(p)).", "a": "-172*p**2 + 440*p + 17" }, { "q": "Let d(i) be the first derivative of -19*i**2/2 - 774. Let h(o) be the second derivative of 0 + 2*o + 0*o**2 + 1/6*o**3. Give d(h(c)).", "a": "-19*c" }, { "q": "Let x(t) = 1074610*t. Let w(g) = -7*g**2. Give w(x(q)).", "a": "-8083506564700*q**2" }, { "q": "Let g(k) = 10*k**2. Let q(i) = -251391*i. Give q(g(t)).", "a": "-2513910*t**2" }, { "q": "Let n(h) = -11*h**2. Let o(u) = 15476*u - 8833. Let x(s) = -77*s + 44. Let r(f) = 4*o(f) + 803*x(f). Calculate r(n(d)).", "a": "-803*d**2" }, { "q": "Let p(k) be the first derivative of 0*k - 5/2*k**2 + 17. Let a(x) = -19*x. Calculate a(p(t)).", "a": "95*t" }, { "q": "Let w = -43 + 45. Let a be (w - (9 - 5)) + 17*1. Let o(l) = 10*l - 4*l - a*l - 20*l. Let y(q) = -2*q**2. Determine o(y(x)).", "a": "58*x**2" }, { "q": "Let b(c) = 25*c. Let k(l) = 473*l**2 + 28*l. Give k(b(y)).", "a": "295625*y**2 + 700*y" }, { "q": "Let h(q) = -3*q. Let j(b) = -5*b**2 + b - 1. Let k(s) = 2142*s**2 - 441*s + 441. Let f(v) = 1323*j(v) + 3*k(v). Calculate h(f(n)).", "a": "567*n**2" }, { "q": "Let p(w) = -99*w. Let v(k) = 349*k. Let m(s) = -7*p(s) - 2*v(s). Let a(l) be the first derivative of -7*l**2 + 1. What is m(a(o))?", "a": "70*o" }, { "q": "Let v(m) = 251*m**2. Let y(g) = 12212*g. What is y(v(h))?", "a": "3065212*h**2" }, { "q": "Let o(n) = -n**2 + 23*n - 56. Let q be o(20). Let l(d) = -d - 1. Let i(a) = -18*a + 1. Let w(k) = q*l(k) + 4*i(k). Let z(j) = j**2. Determine w(z(r)).", "a": "-76*r**2" }, { "q": "Let j(s) = -282*s - 226*s - 30*s - 137*s + 22*s. Let f(m) = -3*m. Give j(f(y)).", "a": "1959*y" }, { "q": "Let x(a) = 8*a. Let v(m) = m**3 - 4*m**2 - 7*m + 15. Let h be v(6). Let l = -42 + h. Let t(s) = -8*s**2 + l*s**2 + 4*s**2. Calculate t(x(f)).", "a": "-64*f**2" }, { "q": "Let c(k) = -1653*k. Let q(s) = -3*s**2 - 877*s. Give q(c(x)).", "a": "-8197227*x**2 + 1449681*x" }, { "q": "Let l(n) = -n**2. Let w(v) be the second derivative of 0*v**2 - 74*v + 0*v**3 + 11/4*v**4 + 0. What is w(l(g))?", "a": "33*g**4" }, { "q": "Let f(s) = 7*s**2. Suppose -4*o - 30 = -5*o. Let d be 2 + o/(-12) + 34/4. Let x(t) = -3*t + 8 + 5*t - d. Give f(x(v)).", "a": "28*v**2" }, { "q": "Let t(a) = 44*a - 6. Let j(o) = o + 2. Let y(q) = -6*j(q) - 2*t(q). Let n(k) = -13*k. Calculate n(y(g)).", "a": "1222*g" }, { "q": "Let t(k) = -3*k**2 + 6. Let n(i) = -4*i - 62. Give n(t(w)).", "a": "12*w**2 - 86" }, { "q": "Let h(w) = w**2 + 6084356*w + 2. Let d(v) = -2*v. Calculate h(d(j)).", "a": "4*j**2 - 12168712*j + 2" }, { "q": "Let t(o) be the first derivative of 3 + 0*o + 1/2*o**2. Let v(s) be the second derivative of 5*s**4/12 + s + 49. Calculate v(t(q)).", "a": "5*q**2" }, { "q": "Let a(q) be the second derivative of q**4/6 - q**2/2 - q. Let l(c) = -21872014*c + 3*c**2 + 21872014*c - c**2. Calculate l(a(u)).", "a": "8*u**4 - 8*u**2 + 2" }, { "q": "Let x(c) = -5*c. Let g(k) = 156643*k**2. Give x(g(r)).", "a": "-783215*r**2" }, { "q": "Let b(h) be the second derivative of -395*h**4/6 - 1431*h. Let d(i) = 3*i**2. What is b(d(n))?", "a": "-7110*n**4" }, { "q": "Let x(b) be the first derivative of b**2 + 397. Let l(k) = 74*k**2 + 3*k. Determine l(x(u)).", "a": "296*u**2 + 6*u" }, { "q": "Let f(y) = -y - 1. Let i be f(5). Let j be 1*((-3215)/(-15))/((-2)/i). Let s(q) = j - 643 - q**2. Let u(l) = 2*l**2. Determine u(s(z)).", "a": "2*z**4" }, { "q": "Let q(f) = -335*f. Let l(u) = -41093*u. Let m(o) = -8*l(o) + 981*q(o). Let i(h) = -5*h. Give m(i(y)).", "a": "-545*y" }, { "q": "Let t(f) = -2*f**2 - 2*f - 6604. Let p(y) = -y + 14. Give p(t(s)).", "a": "2*s**2 + 2*s + 6618" }, { "q": "Let g(f) = 6342995*f. Let d(m) = 2*m**2. What is d(g(r))?", "a": "80467171140050*r**2" }, { "q": "Let u be 4/(-22) - (3216/(-22))/12. Let j(k) = k - 2. Let p(t) = -10*t + 24. Let v(l) = u*j(l) + p(l). Let a(s) = -15*s. What is a(v(c))?", "a": "-30*c" }, { "q": "Let w(j) = -2*j**2. Let v(g) = -2519204*g. Give w(v(y)).", "a": "-12692777587232*y**2" }, { "q": "Let q(o) = 10*o**2. Suppose -27 = c - u, -c + 0 = -5*u + 27. Let v = c + 44. Let w(s) = -12 + v - 5 + 2*s**2. What is q(w(p))?", "a": "40*p**4" }, { "q": "Let q(h) be the first derivative of 40*h**2 - 40. Let f(l) = -53*l. Let v(a) = 8*f(a) + 5*q(a). Let x(w) = 2*w + 5*w - 5*w. Give v(x(s)).", "a": "-48*s" }, { "q": "Let w(l) = 7*l**2 - 5999*l - 2. Let b(o) = 8*o. What is b(w(k))?", "a": "56*k**2 - 47992*k - 16" }, { "q": "Let i(t) = 64*t**2 - 26*t**2 - 45*t**2. Let l(s) = s + 18. What is i(l(m))?", "a": "-7*m**2 - 252*m - 2268" }, { "q": "Let c(s) = 10295*s - 5131*s - 5164*s + 8*s**2. Let g(t) be the second derivative of -3*t**3/2 - t. Calculate g(c(i)).", "a": "-72*i**2" }, { "q": "Suppose -2*k - u + 31 = 2*u, 3*u + 1 = 2*k. Let w(v) = k*v - 2*v - 7*v. Let m(n) = 17*n. Let p(y) = 152*y. Let c(i) = 28*m(i) - 3*p(i). Calculate w(c(l)).", "a": "-20*l" }, { "q": "Let l(y) = -21*y. Let d(c) = 112714*c**2. What is l(d(k))?", "a": "-2366994*k**2" }, { "q": "Let m(v) = -32*v**2 + 7*v. Let t(b) = 2*b**2 + 3*b + 30. Let l(a) = a**2 + 2*a + 20. Let h(i) = -6*l(i) + 4*t(i). Determine m(h(o)).", "a": "-128*o**4 + 14*o**2" }, { "q": "Let u(m) be the second derivative of -m**4/6 + 4*m. Suppose -2 = -4*v + 6. Let c(y) = 101*y - 101*y - 8*y**v. Give c(u(f)).", "a": "-32*f**4" }, { "q": "Let s(y) = -32*y**2. Let g(a) be the third derivative of a**7/2520 - 71*a**4/24 + 3*a**2 - 2*a. Let b(n) be the second derivative of g(n). Give b(s(p)).", "a": "1024*p**4" }, { "q": "Suppose -3*y - 3*o + 16 = -y, -12 = -3*o. Let i(w) = -35*w**y - w + w + 27*w**2. Let r(b) = 3*b**2. What is r(i(c))?", "a": "192*c**4" }, { "q": "Let g(n) = -9*n + n + 0*n + n. Let w(m) be the second derivative of -m**3/6 + 41*m. Let c(b) = g(b) - 6*w(b). Let y(d) = 14*d**2. Calculate y(c(r)).", "a": "14*r**2" }, { "q": "Let f(i) be the third derivative of 0*i**4 + 34*i**2 - 1/60*i**5 + 0*i**3 + 0 + 0*i. Let a(m) = -21*m - 7*m - 16*m. Determine a(f(c)).", "a": "44*c**2" }, { "q": "Let t(d) = -7*d**2. Let f(s) = 3*s + 2. Let u(j) = -9*j - 4. Let b(z) = 7*f(z) + 2*u(z). Let r(w) = -3*w - 8. Let o(i) = 4*b(i) + 3*r(i). Determine o(t(x)).", "a": "-21*x**2" }, { "q": "Let v(j) = j. Let p(n) = -37*n - 19. Let s(r) = r**3 - 17*r**2 + 15*r + 10. Let i be s(16). Let y(g) = 13*g + 6. Let z(o) = i*p(o) - 17*y(o). Calculate v(z(a)).", "a": "a + 12" }, { "q": "Let p(j) = -3*j**2. Suppose -4*m = 4*w + 4, -5*w + 43 = 2*m + 42. Let r(n) be the first derivative of 0*n + w + 0*n**2 + 14/3*n**3. Calculate r(p(f)).", "a": "126*f**4" }, { "q": "Let v(y) = y. Let w(n) be the first derivative of -3279*n**2/2 - 1048. What is w(v(x))?", "a": "-3279*x" }, { "q": "Let k(m) = -m. Let t(q) = -7*q. Let o(u) = 2*k(u) + t(u). Let b(i) be the third derivative of -i**5/6 - 2*i**2 + 3*i. Calculate b(o(v)).", "a": "-810*v**2" }, { "q": "Let a(d) = -3*d**2. Let s be 6 - 4 - 6 - -38. Let k(j) = 2 + s*j - 13 + 11. Calculate k(a(x)).", "a": "-102*x**2" }, { "q": "Let g(s) = -37*s**2. Let z(a) = -6*a + 30965. What is z(g(q))?", "a": "222*q**2 + 30965" }, { "q": "Let s(j) = -2*j - 7422 - 7367 + 14789. Let v(u) = -u + 1 - 7*u**2 - 1. Determine s(v(k)).", "a": "14*k**2 + 2*k" }, { "q": "Let y(x) = -5*x**2 + 6. Let q(f) = 317146*f. Determine q(y(n)).", "a": "-1585730*n**2 + 1902876" }, { "q": "Let w(b) = -25*b + 23*b - 2362 + 2319. Let s(a) = 25*a**2. Determine w(s(d)).", "a": "-50*d**2 - 43" }, { "q": "Suppose -4*u - 38 - 82 = 0. Let t = 49 + u. Let o(l) = 14*l**2 + l - l - t*l**2. Let f(g) = 5*g**2. Determine f(o(j)).", "a": "125*j**4" }, { "q": "Let v(b) = 4*b. Let u(y) = -y - 22. Let h be u(-26). Let r(z) = h*z**2 - z**2 - 17*z**2. Determine r(v(p)).", "a": "-224*p**2" }, { "q": "Let j(n) = 12*n**2. Let s(y) be the third derivative of 3*y**4/2 + y**3/6 + 333*y**2. What is s(j(r))?", "a": "432*r**2 + 1" }, { "q": "Let s(m) = -21*m - 2. Let g(a) = -23*a**2 + 4*a + 32. Let o(c) = 24*c**2 - 3*c - 24. Let i(v) = 3*g(v) + 4*o(v). Give i(s(j)).", "a": "11907*j**2 + 2268*j + 108" }, { "q": "Let t(a) = -297*a. Let b(i) be the second derivative of i**3/6 + 623*i. Determine b(t(n)).", "a": "-297*n" }, { "q": "Let b(v) = 181*v**2 - 1. Let w(u) = 462*u - 226*u - 232*u. Give w(b(n)).", "a": "724*n**2 - 4" }, { "q": "Let d(f) = -159*f. Let j(w) = 38*w + 34*w + 39*w - 115*w. Give j(d(a)).", "a": "636*a" }, { "q": "Let m = 793 + 6680. Let c(y) = -3*y + m - 7473. Let i(s) = -10*s**2. Give i(c(t)).", "a": "-90*t**2" }, { "q": "Let i(l) = -4*l**2. Let j(q) = 1765189*q**2. Calculate j(i(w)).", "a": "28243024*w**4" }, { "q": "Let o(n) = 101*n**2. Let h(t) = -120670*t. What is h(o(q))?", "a": "-12187670*q**2" }, { "q": "Let m(g) = 2*g. Let c(h) be the second derivative of -5*h + 13/2*h**3 + 3 + 0*h**2. Determine m(c(o)).", "a": "78*o" }, { "q": "Let z(h) = 38178*h**2. Let s(j) = 339*j. What is z(s(r))?", "a": "4387453938*r**2" }, { "q": "Let w(i) = 18*i**2. Let f(m) = 6*m + 22212. Give f(w(p)).", "a": "108*p**2 + 22212" }, { "q": "Let s(c) = -c**2 - 1. Let u(o) = 4*o**2 + 5. Let q(r) = -5*s(r) - u(r). Let n(h) be the third derivative of h**5/15 - h**3 + 4*h**2. What is q(n(z))?", "a": "16*z**4 - 48*z**2 + 36" }, { "q": "Let d(z) = 40*z - 24*z - 18*z. Let c(h) be the second derivative of -2*h**3/3 - 3*h - 5. Determine c(d(o)).", "a": "8*o" }, { "q": "Let m(l) = 9*l**2. Let t(n) = -n**2 - 1. Let f(y) = -5*y**2 - 2. Suppose 0 = -26*o + 7 - 33. Let k(i) = o*f(i) + 2*t(i). Calculate k(m(c)).", "a": "243*c**4" }, { "q": "Let z(f) = 3*f + 251. Let k(p) = 5236*p. Calculate z(k(n)).", "a": "15708*n + 251" }, { "q": "Let b(q) = -4*q. Let g(z) be the third derivative of 29*z**5/30 - 152*z**2. Determine g(b(v)).", "a": "928*v**2" }, { "q": "Let m(p) = -246331 + 246331 - p**2. Let r(y) = y - 1. Let j(k) = k - 6. Let g(s) = -2*j(s) + 10*r(s). Give m(g(v)).", "a": "-64*v**2 - 32*v - 4" }, { "q": "Let i(o) = -o**2. Let u(b) = 75302*b + 42. Give u(i(f)).", "a": "-75302*f**2 + 42" }, { "q": "Let w(a) = 3*a + 2. Let q(o) = 65606*o. Determine w(q(y)).", "a": "196818*y + 2" }, { "q": "Let z(b) = -18*b + 10*b - 16*b + 50897 - 50897. Let q(t) be the second derivative of -t**4/6 + 7*t. Determine q(z(v)).", "a": "-1152*v**2" }, { "q": "Let s(f) = 2*f**2 + f - 2. Let z be s(1). Let t(l) = -1 + z - 17*l + 20*l. Let w(q) be the third derivative of 7*q**4/24 - 3*q**2. Calculate w(t(b)).", "a": "21*b" }, { "q": "Let f(m) = 183*m**2. Let s(j) = -12*j**2 + 6*j + 12. Let x(y) = -3*y**2 + y + 2. Let b(k) = s(k) - 6*x(k). What is b(f(i))?", "a": "200934*i**4" }, { "q": "Let p(c) be the first derivative of -6*c**2 - 285. Let l(s) = -88*s. Calculate p(l(b)).", "a": "1056*b" }, { "q": "Let w(q) be the third derivative of -q**8/5040 + q**5/60 + 7*q**2. Let n(x) be the third derivative of w(x). Let k(o) = -2*o + 11*o - 14*o. Calculate k(n(p)).", "a": "20*p**2" }, { "q": "Let c(y) = 9*y. Suppose 4*q = -0*u + 3*u - 3, 6 = 3*u - 3*q. Let z(b) = 9*b - 8*b - 3*b. Let a(m) = -6*m. Let l(x) = u*a(x) - 16*z(x). Determine l(c(k)).", "a": "18*k" }, { "q": "Let z(w) = -w - 11. Let t(f) = 2*f**2 + 38693. Give t(z(p)).", "a": "2*p**2 + 44*p + 38935" }, { "q": "Let t(x) = 5*x - 72. Let a(h) = -4406 + 8810 + h - 4404. Give t(a(w)).", "a": "5*w - 72" }, { "q": "Let l(s) = -63*s + 2. Let p(i) = -179*i + 7. Let q(u) = 11*l(u) - 4*p(u). Let d(r) = -2*r**2. What is d(q(h))?", "a": "-1058*h**2 + 552*h - 72" }, { "q": "Let u(h) be the third derivative of 0*h**3 + 2*h**2 + 1/12*h**5 - 36*h + 0*h**4 + 0. Let j(c) = -c. Give u(j(k)).", "a": "5*k**2" }, { "q": "Let v(h) = -2735503*h. Let t(z) = -2*z**2. Determine v(t(y)).", "a": "5471006*y**2" }, { "q": "Let a(v) = 62*v**2 - 60*v**2 - 23*v + 23*v. Let l(m) = -148*m**2 + 217 - 217. Give l(a(f)).", "a": "-592*f**4" }, { "q": "Let s(j) = 6*j. Let d(k) be the third derivative of -k**7/315 - 7*k**4/6 + 28*k**2. Let c(x) be the second derivative of d(x). Determine c(s(r)).", "a": "-288*r**2" }, { "q": "Let k(j) be the second derivative of -2*j + 0*j**2 + 0*j**3 - 1/6*j**4 + 34. Let t(o) be the first derivative of -o**2 + 1. Calculate k(t(g)).", "a": "-8*g**2" }, { "q": "Let p(i) = -186886*i. Let g(l) = 2*l. Determine p(g(a)).", "a": "-373772*a" }, { "q": "Let v(o) be the third derivative of o**4/3 + 8898*o**2. Let r(p) = -2 + 2 - 12*p. Determine v(r(h)).", "a": "-96*h" }, { "q": "Let m(p) = -314352*p. Let q(s) = 16*s. Give q(m(y)).", "a": "-5029632*y" }, { "q": "Let l(o) = -o. Let n(u) = 2*u - 28. Let w be n(16). Suppose 15*z = 13*z + w. Let t(i) = -16*i**z + 20*i**2 - 10*i**2. What is l(t(x))?", "a": "6*x**2" }, { "q": "Suppose -43*o - 56 = -6*o - 130. Let f(l) be the second derivative of 15*l + 0*l**o + 0 + 0*l**3 - 1/6*l**4. Let h(b) = -23*b**2. Determine f(h(i)).", "a": "-1058*i**4" }, { "q": "Let y(i) = -3*i. Let f(j) = -j**2 + 2*j. Let h(q) = 49*q**2 - 10*q + 4. Let a(m) = -5*f(m) - h(m). What is y(a(o))?", "a": "132*o**2 + 12" }, { "q": "Suppose 3*w - 53 = -2*k, -3*k + 89 = 5*w - 0*k. Let r(x) = -w*x + 102 - 199 + 97. Let m(u) be the first derivative of -2*u**3/3 - 2. Determine r(m(d)).", "a": "38*d**2" }, { "q": "Let h(z) = -z**2 + 7*z - 4. Let c be h(6). Let a(r) = -1371*r - r**c + 1371*r. Let g(i) = -7 + 7 + i. What is a(g(n))?", "a": "-n**2" }, { "q": "Let m(c) = -2*c**2 - 1332. Let z(f) = -12*f - 18. Calculate z(m(a)).", "a": "24*a**2 + 15966" }, { "q": "Let z(y) = y**2 - 24*y + 2. Let l be z(24). Let p(x) = 7*x**l + 5*x + 7*x - 8*x + 0*x**2. Let f(k) = k. Calculate p(f(c)).", "a": "7*c**2 + 4*c" }, { "q": "Let m(z) = 4951961*z. Let p(o) = 6*o**2. Determine m(p(k)).", "a": "29711766*k**2" }, { "q": "Let x(b) = 800*b. Let c(u) = -u + 3 + 7 - 10 - u. Give x(c(n)).", "a": "-1600*n" }, { "q": "Let y(h) be the second derivative of -7*h**3/6 + 10*h. Let r(o) be the second derivative of -2*o**3 + 336*o. Give r(y(q)).", "a": "84*q" }, { "q": "Suppose -4368 = 4*h - 20488. Let k(d) = -17*d**2 + h - 4030. Let y(a) = -2*a. What is y(k(i))?", "a": "34*i**2" }, { "q": "Let x(v) = -v. Let g(c) = 3692870*c. Give x(g(f)).", "a": "-3692870*f" }, { "q": "Let c(h) = -2*h**2. Let u(j) be the third derivative of 7*j**4/6 - 451*j**2 - j. What is u(c(z))?", "a": "-56*z**2" }, { "q": "Let x(i) = 14*i - 5. Let b(t) = 16*t - 6. Let a(y) = -5*b(y) + 6*x(y). Let n(l) = 2*l**2 + l. What is a(n(o))?", "a": "8*o**2 + 4*o" }, { "q": "Let q(b) = 60*b - 1222. Let u(x) = -2*x**2. Give q(u(z)).", "a": "-120*z**2 - 1222" }, { "q": "Let a(y) = -5*y. Let w(t) = 3*t - 38. Let f be w(13). Let d(o) = f + 8*o**2 - 5*o**2 - 1. Determine d(a(b)).", "a": "75*b**2" }, { "q": "Let s(q) = 5*q**2 + 2*q. Let b(d) = -4712*d**2 - 1488*d. Let a(o) = -b(o) - 744*s(o). Let n(w) = -3*w. Determine a(n(m)).", "a": "8928*m**2" }, { "q": "Let t(j) = 21*j + 38. Let m(k) = -11*k - 20. Let w be 2/(-3) - 651/63. Let g(l) = w*m(l) - 6*t(l). Let i(y) = -2*y. Determine i(g(s)).", "a": "10*s + 16" }, { "q": "Let n(m) = -18*m + 18*m + 63 + 2*m**2 - 63. Let f(t) be the first derivative of -t**2/2 + 2*t + 3. What is n(f(r))?", "a": "2*r**2 - 8*r + 8" }, { "q": "Let o(d) be the first derivative of -64 + 3*d - 1/2*d**2. Let j(p) = -p. Determine o(j(q)).", "a": "q + 3" }, { "q": "Let d(l) = -77*l**2. Let b(i) be the third derivative of -9*i**5/20 - 567*i**2. What is d(b(t))?", "a": "-56133*t**4" }, { "q": "Let u be ((-4)/(-84))/(30/(-35) + 2). Let n(j) be the third derivative of -u*j**4 + 0*j**3 + 0 + 0*j + 10*j**2. Let c(x) = -41*x. Determine n(c(o)).", "a": "41*o" }, { "q": "Let o(t) = -t. Let n(s) be the third derivative of 0*s - 2 + 0*s**4 + 0*s**3 - 53/30*s**5 + 35*s**2. What is o(n(y))?", "a": "106*y**2" }, { "q": "Let s(x) be the third derivative of x**7/2520 - 17*x**5/30 + 3*x**2 + 18*x. Let j(t) be the third derivative of s(t). Let d(o) = -9*o + 3. Determine d(j(c)).", "a": "-18*c + 3" }, { "q": "Let q(r) = r + 8. Let i(o) = 18*o + 64. Let m(f) = i(f) - 8*q(f). Let a(j) = 94*j. Give m(a(k)).", "a": "940*k" }, { "q": "Let x(r) = 2*r**2 - 5*r - 1012. Let k(o) = -2*o**2. Give x(k(a)).", "a": "8*a**4 + 10*a**2 - 1012" }, { "q": "Suppose -2*m + 30 = 3*m. Let w(t) = 6. Let y(b) = -b - 5. Let p(r) = m*y(r) + 5*w(r). Let d(c) be the first derivative of -2*c**3 + 5. Determine d(p(l)).", "a": "-216*l**2" }, { "q": "Let m(d) = 68*d + 10. Let w(l) = -785*l. What is w(m(h))?", "a": "-53380*h - 7850" }, { "q": "Let y(p) be the third derivative of -p**7/840 + p**4/12 + p**2. Let k(v) be the second derivative of y(v). Let r(g) = 3*g + g - 2*g + 2*g. Determine r(k(s)).", "a": "-12*s**2" }, { "q": "Let b(a) = -a**2 + 604*a. Let i(q) = 3300*q**2. Determine b(i(r)).", "a": "-10890000*r**4 + 1993200*r**2" }, { "q": "Let o(h) = 22*h**2. Suppose -2*u + 0 = n - 1, 4*u - 4*n = 20. Let r(c) = -45*c**2 + 19*c**u + 23*c**2. What is o(r(j))?", "a": "198*j**4" }, { "q": "Let a = -4 - -8. Let x(r) = a - r - 4. Let c(j) = -j + 27*j - 9*j**2 - 26*j. What is x(c(i))?", "a": "9*i**2" }, { "q": "Let m(f) = -29*f - 28*f + 59*f. Let d(x) be the third derivative of -89*x**4/24 + 50*x**2. Give d(m(s)).", "a": "-178*s" }, { "q": "Let f(k) = 44*k**2 - 7*k. Let i(o) be the first derivative of -o**2 - 1530. Calculate f(i(l)).", "a": "176*l**2 + 14*l" }, { "q": "Let t(i) = -45*i**2. Let u(z) = -3*z**2 - 20*z. Let s(r) = -15*r**2 - 105*r. Let w(l) = -4*s(l) + 21*u(l). Give w(t(m)).", "a": "-6075*m**4" }, { "q": "Let u(y) = -231*y + 319*y + 338*y + 586*y - 157*y. Let k(v) = 2*v**2. Give u(k(n)).", "a": "1710*n**2" }, { "q": "Let c(j) = j**2. Let f(g) = -1189*g - 617. Give f(c(q)).", "a": "-1189*q**2 - 617" }, { "q": "Let l(p) = 18*p - 11*p - 2*p. Let w(u) = 21*u**2 + 9*u + 3. Let z(q) = 106*q**2 + 48*q + 16. Let a(j) = -16*w(j) + 3*z(j). Calculate l(a(g)).", "a": "-90*g**2" }, { "q": "Let o(j) = -1381*j**2. Let x(t) = 1827*t. Calculate x(o(s)).", "a": "-2523087*s**2" }, { "q": "Let l(c) = -7*c. Let g(n) = -342*n + 5. Let w(h) = 103943*h - 1519. Let b(d) = 1519*g(d) + 5*w(d). Give l(b(m)).", "a": "-1519*m" }, { "q": "Let z(f) = 5*f - 12*f + 8*f + 7*f. Let m(h) be the second derivative of h**6/180 - h**3/6 - 6*h. Let r(l) be the second derivative of m(l). What is r(z(b))?", "a": "128*b**2" }, { "q": "Let d(t) be the second derivative of 0*t**2 + 1/3*t**3 + 52*t + 0. Let n(y) = 96*y**2. What is d(n(b))?", "a": "192*b**2" }, { "q": "Let j(z) = 5*z. Let n(m) = -59 + 14*m - 61 + 179 - 56. Determine j(n(b)).", "a": "70*b + 15" }, { "q": "Let t(u) = -2*u. Let z be (6 - 2)*(15/(-10))/(-3). Let i(y) = -26*y**2 + 2*y**z - 5*y**2 + 12*y**2. Determine i(t(a)).", "a": "-68*a**2" }, { "q": "Let n(r) = 19*r**2 - 22*r**2 + 20 - 20. Let o(b) be the first derivative of 7*b**4/24 + b**2 - 2. Let k(z) be the second derivative of o(z). Determine k(n(u)).", "a": "-21*u**2" }, { "q": "Let b(p) = 0*p + 0*p - p. Let o(t) be the second derivative of -7*t**3 - 337*t + 2. Determine o(b(v)).", "a": "42*v" }, { "q": "Suppose 8*n + 2*n = 14*n. Let a(s) be the third derivative of -1/15*s**5 + 0*s**4 - 11*s**2 + n*s + 0*s**3 + 0. Let d(v) = -3*v. Determine a(d(o)).", "a": "-36*o**2" }, { "q": "Let c(p) = -3180*p**2 + 356*p + 1. Let w(m) = -2*m. Give w(c(d)).", "a": "6360*d**2 - 712*d - 2" }, { "q": "Let k(r) = 122*r + 225. Let c(z) = 125*z**2. Give k(c(l)).", "a": "15250*l**2 + 225" }, { "q": "Let j(h) = -1467*h**2. Let u(o) = -19579 - 19578 + o**2 + 39157. Determine u(j(t)).", "a": "2152089*t**4" }, { "q": "Let l(q) = 10*q - 106 + 106. Let x(w) be the second derivative of 0 - 1/12*w**4 + 3*w + 0*w**2 + 0*w**3. Calculate l(x(d)).", "a": "-10*d**2" }, { "q": "Let s(d) = 28664634*d**2. Let a(y) = -y**2. Calculate a(s(b)).", "a": "-821661242353956*b**4" }, { "q": "Let r(j) = 2*j. Suppose 0 = -f + 11 + 36. Let y(x) = x - f*x - 73*x - 16*x. Calculate y(r(b)).", "a": "-270*b" }, { "q": "Let h(x) = x**3 - 4*x**2 + x. Let c(f) = f**3 - 4*f**2 + 4*f + 1. Let u be c(3). Let r be h(u). Let d(p) = 3*p + 3*p - r*p. Let i(z) = -11*z. Calculate i(d(t)).", "a": "-22*t" }, { "q": "Let d(n) = -36*n + 1. Let a = -3 - -2. Let f be d(a). Let m(s) = 21 + 7*s + 16 - f. Let b(y) = -3*y**2. Determine b(m(i)).", "a": "-147*i**2" }, { "q": "Let i(j) = -4285677*j**2. Let y(c) = 2*c. Determine y(i(m)).", "a": "-8571354*m**2" }, { "q": "Let y(u) = -34 + 828*u**2 - 31 + 96 - 31. Let r(k) = -k**2. Calculate r(y(h)).", "a": "-685584*h**4" }, { "q": "Let x = 128 - 122. Let d(s) = -2*s - x*s + s - 12*s. Let i(v) = -7*v**2. Determine d(i(m)).", "a": "133*m**2" }, { "q": "Let n(b) = -29*b. Let d(y) be the first derivative of 0*y + 0*y**2 - 50 + 4/3*y**3. Give n(d(m)).", "a": "-116*m**2" }, { "q": "Let z(b) = -851335*b. Let k(j) = -6*j. Calculate k(z(a)).", "a": "5108010*a" }, { "q": "Let y = 3 - 1. Let k(x) = 3*x - 2. Let u(g) = 3*g - 3. Let v be 4/(-34) + (-98)/34. Let q(n) = v*k(n) + y*u(n). Let j(r) = 10*r. Determine j(q(t)).", "a": "-30*t" }, { "q": "Let p(h) be the second derivative of -h**4/4 + 3*h. Let v = -81 - -82. Let c(k) = 176*k - 1 + v - 180*k. Give c(p(f)).", "a": "12*f**2" }, { "q": "Let r(f) = -2*f**2 + 6. Let a(k) = -9*k**2 + 36. Let p(g) = -a(g) + 6*r(g). Let j(t) = -399*t. Calculate j(p(c)).", "a": "1197*c**2" }, { "q": "Let g = -2 - -5. Let h(d) = -g*d**2 - 4*d + 4*d + d**2. Let y(f) be the first derivative of -f**2 - 21. Determine y(h(p)).", "a": "4*p**2" }, { "q": "Let t(d) be the second derivative of 5*d**3/3 - d + 553. Let p(y) = -18*y**2. Give t(p(a)).", "a": "-180*a**2" }, { "q": "Let v(m) = 11*m. Let i(x) = -2120257*x**2. Give i(v(h)).", "a": "-256551097*h**2" }, { "q": "Let j(b) = -12*b + 2. Let a(w) = -w - 14. Let f be a(-32). Let g(c) = -40 - f*c**2 + 16*c**2 + 40. Calculate j(g(m)).", "a": "24*m**2 + 2" }, { "q": "Let b(a) be the first derivative of -1/2*a**2 + 0*a - 3. Let l(f) = 24*f - 99. Let i(j) = j - 3. Let q(g) = 66*i(g) - 2*l(g). Determine b(q(z)).", "a": "-18*z" }, { "q": "Let s(t) = 2*t**2. Let w = 190 - 180. Let p(c) = -3 - w*c + 23*c + 7*c - 10*c. What is s(p(v))?", "a": "200*v**2 - 120*v + 18" }, { "q": "Let a(i) = -30*i. Let d(x) be the first derivative of -2*x**2 - 1207. Calculate a(d(v)).", "a": "120*v" }, { "q": "Let l(s) = 31*s. Let o(f) = 2904045 - 21*f**2 - 2904045. Calculate o(l(k)).", "a": "-20181*k**2" }, { "q": "Let q(z) = 409768*z + 1. Let v(w) = -5*w. Calculate q(v(r)).", "a": "-2048840*r + 1" }, { "q": "Suppose 0 = 5*a - 13*a + 112. Let s(k) = 5*k - 25*k + a*k. Let j(r) = 8*r. Determine s(j(w)).", "a": "-48*w" }, { "q": "Let n(b) = 2*b. Let j(c) = 170*c + 209. Let k(d) = -38*d - 52. Let i(v) = 2*j(v) + 9*k(v). Determine i(n(u)).", "a": "-4*u - 50" }, { "q": "Let d(h) = h. Let n be -4 + (0 + 5)*-18. Let k = 358 + n. Let l(a) = 263*a**2 - k*a**2 + 4 - 4. Calculate l(d(t)).", "a": "-t**2" }, { "q": "Let u(l) = 69*l - 254. Let b(v) = -113*v + 2. Calculate b(u(r)).", "a": "-7797*r + 28704" }, { "q": "Let x(u) = -1326581*u. Let d(p) = 14*p**2. Determine x(d(f)).", "a": "-18572134*f**2" }, { "q": "Let o(w) be the second derivative of -7*w**3/6 - w. Let d = 44 + -25. Let f(t) = 20*t - 38*t + d*t. Calculate o(f(g)).", "a": "-7*g" }, { "q": "Let r(x) = x**2 + 20*x. Let s(v) be the third derivative of -11*v**4/12 + 6*v**2 - 2*v. Let t(p) = -10*p. Let w(c) = 6*s(c) - 13*t(c). What is r(w(u))?", "a": "4*u**2 - 40*u" }, { "q": "Let f(l) = -9711151*l. Let r(c) = -2*c. Calculate f(r(y)).", "a": "19422302*y" }, { "q": "Let z(d) = 47*d**2 - 90*d + 9. Let w(q) = 12*q**2 - 20*q + 2. Let n(m) = 9*w(m) - 2*z(m). Let a(v) = -4*v + 14. What is n(a(b))?", "a": "224*b**2 - 1568*b + 2744" }, { "q": "Let y(i) = -21 + 2*i + 39 - 25 + 7. Let r(k) = 0*k + 0*k - 116*k**2. What is y(r(h))?", "a": "-232*h**2" }, { "q": "Let s(z) be the first derivative of -493*z**3/3 + 362. Let i(t) = -4*t**2. Calculate i(s(g)).", "a": "-972196*g**4" }, { "q": "Let x(c) be the second derivative of c**4/6 - 7*c - 79. Let p(o) = -412*o**2 - 1. What is p(x(l))?", "a": "-1648*l**4 - 1" }, { "q": "Let k(l) be the first derivative of 3*l**2/2 + 238. Let a(j) = 32*j**2 + 3. Let i(h) = -1184*h**2 - 112. Let t(v) = 112*a(v) + 3*i(v). Determine t(k(m)).", "a": "288*m**2" }, { "q": "Let v(g) = 2*g**2 + g. Let t(h) = 642*h**2 - 272*h**2 - 357*h**2. Give t(v(b)).", "a": "52*b**4 + 52*b**3 + 13*b**2" }, { "q": "Let g(h) = 461333*h. Let x(c) = -23*c**2. Calculate g(x(a)).", "a": "-10610659*a**2" }, { "q": "Let a(p) = -3878*p**2 + 4*p + 8. Let n(l) = -5646369*l**2 + 5823*l + 11646. Let z(d) = -5823*a(d) + 4*n(d). Let j(x) = -x**2. What is z(j(r))?", "a": "-3882*r**4" }, { "q": "Let h(o) = 3*o**2 - 5. Let p be h(-3). Let y(t) = 44 - 44 + p*t**2. Let k(c) = -c**2. Let u(z) = -8*k(z) - y(z). Let v(d) = -d. Calculate v(u(x)).", "a": "14*x**2" }, { "q": "Let r(i) = 53*i + 24. Let f(z) = 1012*z + 460. Let o(l) = 6*f(l) - 115*r(l). Let j(y) = 23*y**2. What is o(j(h))?", "a": "-529*h**2" }, { "q": "Let d(a) = -2*a. Let k be 15/(-30) - 9/(-12). Let t(p) be the second derivative of 0*p**2 + 0 - 16*p + k*p**4 + 0*p**3. Calculate t(d(n)).", "a": "12*n**2" }, { "q": "Let k(y) be the first derivative of -y**3 - 57*y + 64. Let x(b) be the first derivative of k(b). Let o(r) = -5*r**2. Give x(o(m)).", "a": "30*m**2" }, { "q": "Let a(k) = -2*k. Let p(j) = -122 + 471*j - 14*j + 121. Give a(p(z)).", "a": "-914*z + 2" }, { "q": "Let g(p) = -66*p. Let f(n) = 369*n - 21. Let b(o) = 35*o - 2. Let h(w) = -21*b(w) + 2*f(w). Give h(g(s)).", "a": "-198*s" }, { "q": "Let b(z) = -4*z. Let m(j) = 3862611*j. Calculate m(b(f)).", "a": "-15450444*f" }, { "q": "Let i(q) = 26*q. Let r(o) = o**2 + 2178*o + 2. Calculate i(r(p)).", "a": "26*p**2 + 56628*p + 52" }, { "q": "Let v(y) = 5*y. Let d(r) be the third derivative of 2*r**4/3 - 22*r**2 + 3*r. What is d(v(u))?", "a": "80*u" }, { "q": "Let r(q) be the third derivative of 3/20*q**5 + 0*q**3 + 0*q + 0*q**4 + 0 + 6*q**2. Let i(u) be the second derivative of -u**4/12 + u - 7. What is i(r(p))?", "a": "-81*p**4" }, { "q": "Let f(b) = 7*b**2. Let q(u) = u**3 - 8*u**2 + 9*u + 24. Let r be q(6). Let a(j) = -6*j**2 + r*j**2 - 2*j**2. What is f(a(w))?", "a": "28*w**4" }, { "q": "Let b(y) = -7298326*y. Let s(z) = 2*z. What is s(b(t))?", "a": "-14596652*t" }, { "q": "Let c(i) be the third derivative of 0*i**3 + 1/24*i**4 + 0 - i**2 - 2*i. Let q(r) = 26*r**2. Give c(q(g)).", "a": "26*g**2" }, { "q": "Let v(r) be the third derivative of 0 + 0*r**4 + 2*r + 0*r**3 + 30*r**2 + 2/3*r**5. Let b(n) = -2*n. Calculate b(v(z)).", "a": "-80*z**2" }, { "q": "Let l(p) = -89*p - 61939 + 30968 + 30971. Let r(v) = -2*v**2 + 5*v**2 - v**2. Calculate r(l(d)).", "a": "15842*d**2" }, { "q": "Suppose -4 = v - 12. Let h(i) = v - 10 + 11*i - 2*i + i. Let n(z) = -3*z. Determine n(h(x)).", "a": "-30*x + 6" }, { "q": "Let g(k) = -312787*k. Let p(i) = -2*i**2. What is p(g(y))?", "a": "-195671414738*y**2" }, { "q": "Let u(i) = -2*i**2. Let l(y) = -520377*y. What is l(u(k))?", "a": "1040754*k**2" }, { "q": "Let i(n) = 6*n + 5. Let f(v) = 6*v + 7. Let h(a) = -5*f(a) + 6*i(a). Let l(x) = x - 1. Let o(g) = 2*h(g) - 10*l(g). Let d(m) = 14*m. Give d(o(w)).", "a": "28*w" }, { "q": "Let m(d) = -26*d**2 - 24*d - 4. Let c(x) = -19*x**2 - 18*x - 3. Let k(o) = -4*c(o) + 3*m(o). Let u(p) = 2 + 21*p + 8*p - p. Give k(u(v)).", "a": "-1568*v**2 - 224*v - 8" }, { "q": "Let k(d) = 28*d + 42*d - 69*d. Let h(p) = -591*p. What is k(h(u))?", "a": "-591*u" }, { "q": "Let i(d) = -1262*d. Let u(z) be the first derivative of z**3 - 1426. What is i(u(l))?", "a": "-3786*l**2" }, { "q": "Let g(h) = -38*h + 22. Let f(r) = -7*r + 4. Let w(m) = 33*f(m) - 6*g(m). Let s = 5 - -7. Let u(l) = s - 12 - 4*l. Determine w(u(o)).", "a": "12*o" }, { "q": "Let g(t) be the third derivative of -t**5/60 + 2*t**2. Let j(l) = -3*l. Let k(h) = 93 - 93 - h. Let y(q) = -4*j(q) + 7*k(q). What is y(g(m))?", "a": "-5*m**2" }, { "q": "Let p(r) = 47*r**2. Let d(n) = 2349*n + 2. Calculate d(p(j)).", "a": "110403*j**2 + 2" }, { "q": "Let w(i) = 2091*i - 5. Let r(c) = 13*c**2 + c. Determine w(r(t)).", "a": "27183*t**2 + 2091*t - 5" }, { "q": "Let c(g) = 6647*g**2. Let x(b) = b + 212. What is x(c(k))?", "a": "6647*k**2 + 212" }, { "q": "Let p be 0/17*4/28. Let h(o) be the third derivative of p*o**3 + 4/15*o**5 + 0*o**4 - 11*o**2 + 0 + 0*o. Let u(w) = -2*w**2. What is u(h(f))?", "a": "-512*f**4" }, { "q": "Let i(z) be the third derivative of -27*z**2 + 0 + 0*z + 0*z**3 - 1/4*z**4. Let n(r) be the third derivative of -r**5/60 - 2*r**2. What is i(n(g))?", "a": "6*g**2" }, { "q": "Let m(j) be the third derivative of -7*j**5/120 - 7*j**3/2 - 48*j**2. Let i(f) be the first derivative of m(f). Let t(z) = -z. Give t(i(v)).", "a": "7*v" }, { "q": "Let g(o) be the first derivative of 71 + 0*o + 0*o**2 - 23/3*o**3. Let z(a) = 2*a. Determine g(z(q)).", "a": "-92*q**2" }, { "q": "Let h(z) = -6*z - 17. Let k be (-7 + 0)*1*10/(-7). Let y(b) = 5*b - k*b + 6*b + 0*b + 3. Let o(s) = 6*h(s) + 34*y(s). Let q(x) = -4*x. Calculate o(q(v)).", "a": "8*v" }, { "q": "Let o(g) = -3*g + 2*g + 9*g - 10*g. Let w(q) = -12*q**2 + 5*q. Let a = -5 + 17. Let k(l) = 30*l**2 - 12*l. Let u(z) = a*w(z) + 5*k(z). What is o(u(t))?", "a": "-12*t**2" }, { "q": "Let r(m) = -3*m + 3 - 4 + 1. Let t(u) = -33*u**2 + 23*u**2 + 23*u**2 + 11*u**2 + 10*u**2. What is t(r(f))?", "a": "306*f**2" }, { "q": "Let w be 10/(-6) + (3 + (-128)/24 - -9). Let f(q) be the second derivative of -w*q - 1/3*q**3 + 0 + 0*q**2. Let h(s) = -2*s. What is h(f(p))?", "a": "4*p" }, { "q": "Let i(n) = -159923*n. Let k(q) = q**2 - 14*q. Calculate k(i(f)).", "a": "25575365929*f**2 + 2238922*f" }, { "q": "Let z(g) = -5417*g**2. Let b(s) = -725*s. Determine b(z(v)).", "a": "3927325*v**2" }, { "q": "Let y(i) = -1454*i - 1287*i + 30 + 1018 - 20708*i. Let z(g) = 134*g - 6. Let t(c) = -3*y(c) - 524*z(c). Let l(k) = 2*k**2. Determine t(l(w)).", "a": "262*w**2" }, { "q": "Let l(p) = -17786543*p**2. Let t(v) = 2*v**2. Give l(t(a)).", "a": "-71146172*a**4" }, { "q": "Let o(a) = -229 - 1084*a + 693 - 234 - 230. Let k(q) = -q. Determine k(o(g)).", "a": "1084*g" }, { "q": "Let m(d) = -d. Let l = -872 + 571. Let w(n) = -2924*n**2. Let p(h) = -39*h**2. Let b(g) = l*p(g) + 4*w(g). Give b(m(i)).", "a": "43*i**2" }, { "q": "Let p(z) = z**2. Let s(j) = 50*j**2 + 4*j - 30. Let x(a) = -a**2 - 5. Let t(v) = -s(v) + 6*x(v). What is t(p(n))?", "a": "-56*n**4 - 4*n**2" }, { "q": "Suppose -t + 30 = -5*r, -3*r = -4*t + 42 + 27. Let x(o) = -t*o - 7 + 7 + 17*o. Let i(u) = -53*u**2. Give i(x(b)).", "a": "-212*b**2" }, { "q": "Let d(z) = 31*z**2. Let o(g) = 14*g - 635 + 320 + 315. Give o(d(f)).", "a": "434*f**2" }, { "q": "Let n(u) = 5*u. Let h(s) = 56*s**2 + 2917*s. Calculate n(h(r)).", "a": "280*r**2 + 14585*r" }, { "q": "Let f(n) = -19415430*n. Let v(m) = -2*m. Give v(f(i)).", "a": "38830860*i" }, { "q": "Let o(p) = -4*p. Let a(i) = 721435*i + 5. Calculate o(a(c)).", "a": "-2885740*c - 20" }, { "q": "Let g(m) = 8078*m**2. Let d(h) = -78*h**2. Give d(g(i)).", "a": "-5089818552*i**4" }, { "q": "Suppose 2 + 74 = 4*g. Let z(x) = -8*x - 8*x + g*x. Let k(d) = -d. Let u(b) = 55*b. Let q(h) = 66*k(h) + u(h). Give q(z(o)).", "a": "-33*o" }, { "q": "Let z(p) = -2*p. Let a(t) be the first derivative of 862*t**3 + 442. Calculate a(z(i)).", "a": "10344*i**2" }, { "q": "Let h(c) = -1836*c**2. Let t(p) be the second derivative of p**3/3 - 1119*p. Give h(t(v)).", "a": "-7344*v**2" }, { "q": "Let m(q) = -40*q. Suppose 3*u + 4*t = 8*u - 18, 6 = -3*t. Let k(p) = 1285*p - p**u - 1285*p. Give k(m(g)).", "a": "-1600*g**2" }, { "q": "Let r(b) = -20*b - 2. Let z(p) = 4763*p. Calculate z(r(n)).", "a": "-95260*n - 9526" }, { "q": "Let d be (6/(-24))/(3/(-24)). Let t(n) = 4*n**d + 206*n - 206*n. Let w(u) = -7*u. Give w(t(c)).", "a": "-28*c**2" }, { "q": "Let n(k) = -22*k. Let g(x) = -4*x - 3. Let u(j) = -5*j - 4. Let c be 6/(-3) + 3 + 7 + -5. Let f(b) = c*u(b) - 4*g(b). What is n(f(a))?", "a": "-22*a" }, { "q": "Let v(d) = -427*d**2 - 1. Let t(a) = 14*a**2 - 12*a**2 + 11*a - 4*a - 7*a. Calculate t(v(f)).", "a": "364658*f**4 + 1708*f**2 + 2" }, { "q": "Let c(w) be the third derivative of 7*w**5/60 - 2*w**2. Suppose -5*z = -1 - 9. Let v(m) = 68 - 29 - 39 - z*m. Calculate v(c(o)).", "a": "-14*o**2" }, { "q": "Let s(o) = -o - 1. Let i(w) = 3*w - 3. Let j(n) = n**2 - 3*n - 17. Let z be j(6). Let c(d) = z*i(d) - 3*s(d). Let p(a) = 9*a**2. Calculate p(c(x)).", "a": "324*x**2" }, { "q": "Suppose 0 = 13*v + 6*v - 342. Let n(x) = v*x**2 - 1 + 15*x**2 - 54*x**2 + 22*x**2. Let z(i) = i. Determine z(n(o)).", "a": "o**2 - 1" }, { "q": "Let g(r) = 72*r**2 - 187*r**2 - 911*r**2 - 88*r**2. Let x(t) = -t**2. Determine g(x(j)).", "a": "-1114*j**4" }, { "q": "Let s(c) = -2*c + 4. Suppose -1 = 2*g + 2*m - 39, -4*m + 96 = 5*g. Let k(q) = -32*q**2 + g*q**2 + 10*q**2. Calculate s(k(i)).", "a": "4*i**2 + 4" }, { "q": "Let t(o) = -13*o**2. Let j(p) = -2*p**2 + p - 1246. Calculate j(t(b)).", "a": "-338*b**4 - 13*b**2 - 1246" }, { "q": "Let s(w) = -w**2 + 6*w. Let r(q) = -159*q + 7. Let a(c) = -68*c + 3. Let t(d) = -7*a(d) + 3*r(d). What is s(t(l))?", "a": "-l**2 - 6*l" }, { "q": "Let u(f) = 9725*f. Let p(i) = 1217*i**2. Give u(p(b)).", "a": "11835325*b**2" }, { "q": "Suppose 7*t - 16 = 3*t. Let w(m) = t*m - 10*m - 16*m. Let x(u) = -6*u - 168. Let y(r) = r + 24. Let d(h) = 2*x(h) + 14*y(h). Give w(d(b)).", "a": "-44*b" }, { "q": "Let m(s) = 2*s + 8. Let y(z) be the third derivative of -z**4/12 - 381*z**2 + 2*z. Determine m(y(n)).", "a": "-4*n + 8" }, { "q": "Let q(f) be the first derivative of 2*f**3/3 - 97*f**2/2 + 699. Let l(m) = 3*m. Determine q(l(z)).", "a": "18*z**2 - 291*z" }, { "q": "Let h(p) = 3*p**2 - 8*p - 125. Let s(m) = 762*m**2. Give h(s(y)).", "a": "1741932*y**4 - 6096*y**2 - 125" }, { "q": "Let t(h) = h**2 - 6. Let i(v) = v**2 - 10. Let a(x) = -3*i(x) + 5*t(x). Let b(m) = -67*m**2. Determine a(b(n)).", "a": "8978*n**4" }, { "q": "Let q be 11/((-21)/(-21)) + 1 + -9. Let i(f) be the second derivative of 10*f + 0*f**q + 0 - 37/12*f**4 + 0*f**2. Let a(t) = t**2. Calculate a(i(h)).", "a": "1369*h**4" }, { "q": "Let u(c) = 101*c - 193*c + 91*c. Let i(r) = -2132*r. Give u(i(q)).", "a": "2132*q" }, { "q": "Let p(w) = -2*w**2. Let k(a) be the first derivative of -a**3 - 9*a + 823. Give p(k(v)).", "a": "-18*v**4 - 108*v**2 - 162" }, { "q": "Let k = 65 - 56. Let m(v) = k*v + 19*v + 15*v - 57*v. Let s(q) = 3*q. Give s(m(f)).", "a": "-42*f" }, { "q": "Let s(l) = -2737015*l**2. Let o(d) = 7*d**2. Give s(o(p)).", "a": "-134113735*p**4" }, { "q": "Let r(o) = 2*o - 51. Let c(h) = 11*h - 272. Let j(m) = 3*c(m) - 16*r(m). Let b(p) be the second derivative of 4*p**3/3 - p. Determine b(j(q)).", "a": "8*q" }, { "q": "Let d(g) = 2*g**2 + 14050 - 4*g**2 - 7028 - 7022. Let n(s) be the first derivative of 0*s + 7/2*s**2 + 1. Determine d(n(j)).", "a": "-98*j**2" }, { "q": "Let m(z) = -18*z - 2*z + 54*z + 34 + 6*z**2. Let c(j) = j**2 + 6*j + 6. Let f(k) = 34*c(k) - 6*m(k). Let g(u) = 130*u. What is f(g(h))?", "a": "-33800*h**2" }, { "q": "Let x(m) = 308*m. Let d(n) = -33140*n. What is x(d(u))?", "a": "-10207120*u" }, { "q": "Let c(v) be the first derivative of 23*v**2/2 - 4323. Let a(w) be the first derivative of 5*w**3/3 + 2. What is a(c(p))?", "a": "2645*p**2" }, { "q": "Suppose 10*c - 15*c = -79*c - 37*c. Let a(f) be the second derivative of 5/6*f**4 + 0*f**3 + 0*f**2 + c - 18*f. Let z(q) = -3*q. Give z(a(j)).", "a": "-30*j**2" }, { "q": "Let h be (-1)/4*0 + 3. Let v(z) = -10*z + 2*z + h*z. Let y(b) = -4 - 50*b**2 + 51*b**2 + 4. Calculate y(v(r)).", "a": "25*r**2" }, { "q": "Let f(v) = 4*v**2 - v - 1. Let p(o) = -o**2 - o - 1. Let h(l) = -f(l) + p(l). Let i(x) be the third derivative of -2*x**5/15 + 14*x**2. What is i(h(g))?", "a": "-200*g**4" }, { "q": "Let o(g) be the second derivative of 0 + 5/6*g**3 + 0*g**2 + 4*g. Let j(l) = -3*l**2 + 4*l**2 - 3*l**2 - 3*l**2. Calculate j(o(s)).", "a": "-125*s**2" }, { "q": "Let u(f) = -20*f**2. Let z(b) = 39311*b**2 + 2*b. Calculate z(u(g)).", "a": "15724400*g**4 - 40*g**2" }, { "q": "Let a(x) = 4*x. Let i(s) be the second derivative of 8/3*s**3 + 0*s**2 + 2*s - 44. What is i(a(h))?", "a": "64*h" }, { "q": "Let o(w) = 137*w**2 - w. Let r(s) = 136*s. Let p(y) = 28*y. Let b(j) = -24*p(j) + 5*r(j). What is o(b(a))?", "a": "8768*a**2 - 8*a" }, { "q": "Let w(s) = 31*s. Suppose -51 + 17 = t. Let y = 52 + t. Let u(i) = -13*i + y*i - 7*i. Calculate w(u(x)).", "a": "-62*x" }, { "q": "Let g(t) be the second derivative of t**4/12 + 7491*t. Let l = 0 + 2. Let h(x) = 2 - 2*x - l. What is g(h(s))?", "a": "4*s**2" }, { "q": "Let x = 38 + -19. Let p(m) = -x*m**2 + 0 + 0. Let z(q) be the first derivative of -q**2/2 - 23910. Give z(p(b)).", "a": "19*b**2" }, { "q": "Let n(h) = 1330082*h. Let j(s) = 2*s**2. Determine j(n(y)).", "a": "3538236253448*y**2" }, { "q": "Let q(g) be the second derivative of g**4/2 + 167*g. Let l(r) = 75*r**2. What is q(l(j))?", "a": "33750*j**4" }, { "q": "Let b(o) be the first derivative of -46 + 1/3*o**3 + 0*o**2 + 0*o. Let g(y) = -2*y + 5*y + 2*y. Give b(g(r)).", "a": "25*r**2" }, { "q": "Let o(j) = -127*j. Let q(l) = 106*l. Let i(u) = 5*o(u) + 6*q(u). Let y(c) = -236*c. What is y(i(t))?", "a": "-236*t" }, { "q": "Let z(l) = l**2. Let i(q) be the third derivative of -7*q**5/20 - 5*q**3 - 79*q**2 + 4*q. Calculate i(z(m)).", "a": "-21*m**4 - 30" }, { "q": "Let h(d) be the third derivative of d**5/12 + d**2 - 8. Let t(b) be the third derivative of -b**5/60 - 2*b**2 - 17*b. Calculate h(t(v)).", "a": "5*v**4" }, { "q": "Let j(s) = 22*s**2. Let d(t) = -3520*t**2 + 1771*t**2 + 1763*t**2. Give j(d(p)).", "a": "4312*p**4" }, { "q": "Let d(n) = 4*n**2 + 4. Let s(w) = 11355*w. Calculate s(d(z)).", "a": "45420*z**2 + 45420" }, { "q": "Let f(o) be the third derivative of -o**4/24 - o**2. Let x(h) = -h**2 + 15*h - 18. Let t be x(12). Let r(z) = t*z + 10*z + 20*z. Calculate f(r(m)).", "a": "-48*m" }, { "q": "Let i(a) = -a**2. Let o(r) = 15951296*r**2. Determine i(o(w)).", "a": "-254443844079616*w**4" }, { "q": "Let a(l) = 4*l + 8*l - 3*l + 15 - 14. Let d(r) = 0*r**2 + 0*r**2 + 8*r**2 - 4*r**2 - 2*r**2. Determine a(d(g)).", "a": "18*g**2 + 1" }, { "q": "Let y(u) = 2*u**2. Let i(c) be the third derivative of c**5/30 + c**4/24 - 77*c**2 - 1. What is y(i(w))?", "a": "8*w**4 + 8*w**3 + 2*w**2" }, { "q": "Let s(d) be the second derivative of -d**4/4 - 2*d - 88. Let c(l) = 59*l + 0*l - 68 + 68. Calculate s(c(j)).", "a": "-10443*j**2" }, { "q": "Let x(h) = 588 + h + 351 - 3*h + 26. Let d(s) = s. What is x(d(u))?", "a": "-2*u + 965" }, { "q": "Let w(m) be the first derivative of -2*m**2 + 3*m - 719. Let g(q) = -27*q**2. Calculate g(w(l)).", "a": "-432*l**2 + 648*l - 243" }, { "q": "Let p(j) be the first derivative of 0*j + 4 + 33/2*j**2. Let f(a) be the second derivative of -a**3/3 - a - 7. What is p(f(x))?", "a": "-66*x" }, { "q": "Let v(r) = -109*r**2 + 3*r**2 - 21*r**2. Let c(k) = -14*k**2 + 3*k + 1. Let z(n) = 69*n**2 - 15*n - 5. Let y(l) = -10*c(l) - 2*z(l). Give y(v(h)).", "a": "32258*h**4" }, { "q": "Let y(o) = 1545 - 3210 + 1665 + 5*o. Let j(a) = -a**2 - 6*a - 3. Let w be j(-2). Let d(t) = w*t - 3*t - 5*t. Calculate y(d(q)).", "a": "-15*q" }, { "q": "Let b(r) be the second derivative of -1/6*r**3 - 24 + 2*r + 0*r**2. Let s(z) = -16*z. Determine s(b(q)).", "a": "16*q" }, { "q": "Let m(g) be the third derivative of g**2 + 0 + 0*g + 0*g**3 + 1/12*g**4. Let d(j) = 311*j + 315*j - 616*j. What is d(m(w))?", "a": "20*w" }, { "q": "Let o(x) = -x + 1. Let c(v) = v - 3. Let h(d) = 2*c(d) + 6*o(d). Let s(p) = 706*p - 367*p - 368*p. What is s(h(b))?", "a": "116*b" }, { "q": "Let z(q) = 7*q + 4*q - 16*q - 13*q + 13*q. Let a(b) = 62*b**2. Determine z(a(v)).", "a": "-310*v**2" }, { "q": "Let s(g) = g. Let l(c) = c**3 + c**2 - c + 10. Let y be (-1)/(-5) + (-11)/55. Let b be l(y). Let r(o) = 6*o**2 - 9*o**2 + b*o**2. Calculate s(r(n)).", "a": "7*n**2" }, { "q": "Let x(h) = -h + 3*h + h. Let r(p) be the first derivative of 2*p**3 - 3416. Calculate x(r(j)).", "a": "18*j**2" }, { "q": "Let q(o) = -2*o. Let u(l) = -2*l - 16. Let n be u(12). Let j be n/50*(-10)/4. Let y(s) = -s**2 - 3*s**2 - j*s**2 - s**2. Determine q(y(i)).", "a": "14*i**2" }, { "q": "Let j = 19 + -13. Let w(l) = 6*l + 7*l**2 - j*l. Let n(z) = -147 - z + 339 - 192. Give w(n(h)).", "a": "7*h**2" }, { "q": "Let b(r) be the first derivative of r**5/30 + 45*r**2/2 - r + 64. Let i(f) be the second derivative of b(f). Let v(m) = -21*m. Calculate i(v(n)).", "a": "882*n**2" }, { "q": "Let p(f) = -38*f**2 - 78. Let g(n) = 2*n - 71. Determine p(g(y)).", "a": "-152*y**2 + 10792*y - 191636" }, { "q": "Let t(v) = -v. Let p(l) be the second derivative of -5*l**5/4 - 25*l**2/2 + l + 46. Let s(x) be the first derivative of p(x). What is s(t(o))?", "a": "-75*o**2" }, { "q": "Let q(w) = 741845*w**2. Let t(f) = 2*f. Give q(t(o)).", "a": "2967380*o**2" }, { "q": "Let a(l) = 6*l**2 - 10*l + 10. Let r = -41 + 47. Let y(b) = 35*b**2 - 3*b - 3 - 37*b**2 + r*b. Let q(j) = -6*a(j) - 20*y(j). Let d(g) = 5*g**2. What is q(d(u))?", "a": "100*u**4" }, { "q": "Suppose 5*m = 4 + 6. Let f(s) = -5*s**m - s**2 - 3*s**2. Let r(b) = 4048 - b - 4048. Calculate f(r(g)).", "a": "-9*g**2" }, { "q": "Let q(i) = -i + 10. Let b(v) = -11*v. Let z(m) = 13*m. Let c = -52 + 57. Let h(u) = c*z(u) + 6*b(u). Calculate h(q(n)).", "a": "n - 10" }, { "q": "Let o(c) be the first derivative of -2*c**2 - 4854. Let h(b) = 32*b**2 + 16*b + 16. Let v(f) = 11*f**2 + 5*f + 5. Let m(n) = -5*h(n) + 16*v(n). Give m(o(d)).", "a": "256*d**2" }, { "q": "Let a(c) = -15*c**2. Let b(f) be the second derivative of 7*f**4/12 + 2*f**2 - 1002*f. Determine a(b(k)).", "a": "-735*k**4 - 840*k**2 - 240" }, { "q": "Let v(x) = -x. Let d be 4*3*1/2. Suppose 5*q - 2*p + d*p = 29, p - 14 = -2*q. Let t(l) = -q*l**2 + 7*l**2 + 1 - 1. Give t(v(f)).", "a": "-2*f**2" }, { "q": "Let w = -62 - -140. Let y(q) = -150 + w - q + 72. Let c(h) = -10*h - 4. Determine c(y(a)).", "a": "10*a - 4" }, { "q": "Let l(t) = -4*t**2 + 1. Let k(r) = -76*r**2 + 16. Let i(p) = -k(p) + 16*l(p). Let s(w) = 79*w**2 - 45*w**2 - 42*w**2. Determine s(i(q)).", "a": "-1152*q**4" }, { "q": "Let s(q) = -4*q**2. Let n(w) = 117*w**2 + 713. Calculate n(s(t)).", "a": "1872*t**4 + 713" }, { "q": "Let k(c) be the third derivative of c**7/840 + 59*c**4/24 + 29*c**2. Let m(y) be the second derivative of k(y). Let t(l) = 3 - 2*l - 3. Give m(t(b)).", "a": "12*b**2" }, { "q": "Let p(k) = -3*k**2. Let z(w) = -2872662*w. Give z(p(a)).", "a": "8617986*a**2" }, { "q": "Let u(p) = 20*p. Let h(g) = -31*g**2 - 4*g. Let f(x) = -435*x**2 - 58*x. Let l(s) = -4*f(s) + 58*h(s). What is u(l(m))?", "a": "-1160*m**2" }, { "q": "Let v(f) = -18*f - 26*f - 17*f + 85*f - 23*f. Let g(x) = -5*x. What is v(g(c))?", "a": "-5*c" }, { "q": "Let h(v) = 3*v**2. Let r(w) = 163*w**2 - 4*w - 16. Let u(o) = -10759*o**2 + 265*o + 1060. Let i(g) = 265*r(g) + 4*u(g). Determine h(i(m)).", "a": "75843*m**4" }, { "q": "Let n(j) be the third derivative of -j**4/6 + 707*j**2. Let b(l) = -8*l**2. Give b(n(m)).", "a": "-128*m**2" }, { "q": "Suppose 4 = r + 2. Let c(l) = 0*l**r - 3*l**2 - l**2 + 2*l**2. Let i(p) = -p - 120. Let k(d) = 2*d + 210. Let x(y) = 7*i(y) + 4*k(y). What is c(x(g))?", "a": "-2*g**2" }, { "q": "Let l(n) = 6743383*n. Let b(m) = 3*m**2. Calculate l(b(o)).", "a": "20230149*o**2" }, { "q": "Let d(x) = -8644*x. Let j(c) = 322*c**2. Calculate d(j(k)).", "a": "-2783368*k**2" }, { "q": "Let w be ((-4)/8)/(5/(-10)). Let p(g) = 19 - 2*g + 15 + 0 - w. Let h(l) = -2*l**2. What is h(p(j))?", "a": "-8*j**2 + 264*j - 2178" }, { "q": "Let a(n) = 2*n - 3656 + 1217 + 1218 + 1221. Let g(s) = 0 + 2 - 1 - 29*s**2. What is a(g(w))?", "a": "-58*w**2 + 2" }, { "q": "Let m(o) = 2*o. Let v(c) = -2*c**2 - 243*c - 5038. What is m(v(g))?", "a": "-4*g**2 - 486*g - 10076" }, { "q": "Let b(o) = -44*o + 5. Let p(i) = -45*i - 12. Let c(y) = -37*y - 10. Let x(z) = 6*c(z) - 5*p(z). Calculate x(b(d)).", "a": "-132*d + 15" }, { "q": "Let p(r) = 5032*r - 408. Let y(h) = 123*h - 10. Let o(u) = -5*p(u) + 204*y(u). Let k(q) = -18*q**2. Calculate k(o(m)).", "a": "-83232*m**2" }, { "q": "Let b(h) = -h - 3. Let z(c) = -27 + c + 10 - 3*c + 9. Let m(w) = 8*b(w) - 3*z(w). Let y(k) = -112*k. What is m(y(d))?", "a": "224*d" }, { "q": "Let i(d) = -d - 552. Let h(s) = 15204 - 15204 + 2*s. What is h(i(w))?", "a": "-2*w - 1104" }, { "q": "Let m(a) be the first derivative of -a**3/3 - 6*a**2 + 2*a + 1. Let b be m(-12). Let n(y) = -5*y - 15 + 15 + b*y. Let c(p) = 2*p. Calculate c(n(f)).", "a": "-6*f" }, { "q": "Let o(l) be the first derivative of -l**4/12 + 141*l**2/2 - 10. Let a(f) be the second derivative of o(f). Let q(r) = 2 + 3*r - 2. Calculate q(a(m)).", "a": "-6*m" }, { "q": "Let z(d) = 35*d. Let h(r) = -174*r - 21. Let l(q) = -8*q - 1. Let n(o) = 3*h(o) - 63*l(o). Determine z(n(j)).", "a": "-630*j" }, { "q": "Let z(l) = -22*l. Let d(v) = 11*v + 4096. What is d(z(x))?", "a": "-242*x + 4096" }, { "q": "Let a(m) = -218192*m. Let f(q) = 23*q. What is a(f(i))?", "a": "-5018416*i" }, { "q": "Let z(x) = 10*x. Let l(t) = t**2 - t. Let v(w) = 7*w + 7*w + 15*w**2 - 21*w**2 - 7*w. Let b(f) = -14*l(f) - 2*v(f). Give z(b(n)).", "a": "-20*n**2" }, { "q": "Let c(q) = -3*q. Let d = -7697/6 - -1283. Let r(l) be the second derivative of 18*l - d*l**3 + 0*l**2 + 0. What is r(c(n))?", "a": "3*n" }, { "q": "Let s(r) = 5*r. Let a(f) = -139*f + 68*f - 6*f**2 + 76*f + 1 + 4. Let x(y) = 8*y**2 - 6*y - 6. Let k(h) = -6*a(h) - 5*x(h). Calculate s(k(g)).", "a": "-20*g**2" }, { "q": "Let t(g) = -9*g**2. Let a(n) = -37*n - 3. Let h(l) = -832*l - 68. Let j(f) = 136*a(f) - 6*h(f). Determine t(j(c)).", "a": "-14400*c**2" }, { "q": "Suppose -218 = 4*j - 270. Let d(i) = 5*i - j*i + 10*i + 38. Let r(l) = -2*l. Determine r(d(n)).", "a": "-4*n - 76" }, { "q": "Let o(t) = 1552*t**2. Let c(h) be the second derivative of -h**4/12 + 226*h + 2. Give o(c(k)).", "a": "1552*k**4" }, { "q": "Let h(c) = 229422*c**2. Let g(w) = -4*w - 9. Give g(h(k)).", "a": "-917688*k**2 - 9" }, { "q": "Let h(m) = -9*m**2 - 6 - 1 + 7. Let n(d) = -4*d. Let r(z) = -z. Let v(t) = -t - 1. Let s be v(1). Let w(q) = s*n(q) + 10*r(q). Calculate h(w(o)).", "a": "-36*o**2" }, { "q": "Let t(c) = -11*c + 53*c - 3*c - 19*c. Let l(j) = -6*j**2 + 4*j**2 - 4*j**2. Calculate l(t(h)).", "a": "-2400*h**2" }, { "q": "Let x(l) = 55*l. Let a(s) be the first derivative of 0*s + 41 + 0*s**2 - 2/3*s**3. Calculate x(a(c)).", "a": "-110*c**2" }, { "q": "Let o(m) be the second derivative of m**2 + 7*m + 1. Let u(a) = -a**2 + 7. Let i(j) = 7*o(j) - 2*u(j). Let x(q) = -7*q - 6. Give x(i(n)).", "a": "-14*n**2 - 6" }, { "q": "Let n(u) = 2*u**2. Let o(k) = 2*k**2 - 53133*k. Give o(n(l)).", "a": "8*l**4 - 106266*l**2" }, { "q": "Let a(k) = 0*k + 5*k + 3*k - 2*k. Let j = -3 - 1. Let s(w) = -2*w. Let u(b) = j*a(b) - 14*s(b). Let f(p) = 4*p**2. Give f(u(g)).", "a": "64*g**2" }, { "q": "Let r(h) = 53*h. Let k(v) = 6708*v**2. Calculate r(k(t)).", "a": "355524*t**2" }, { "q": "Let d(x) = -16*x - 3. Let i(y) = 2*y + 2. Let z(n) = -d(n) - i(n). Let u(c) = -37*c**2. Calculate z(u(w)).", "a": "-518*w**2 + 1" }, { "q": "Let o = 971 + -967. Let b(t) be the third derivative of 0*t + 1/4*t**o - 12*t**2 + 0 + 0*t**3. Let u(m) = -m. Determine b(u(r)).", "a": "-6*r" }, { "q": "Let i(v) = 66*v**2. Let s = 204 - 197. Let o(j) = s*j - 2*j + 0*j - 7*j. Determine i(o(f)).", "a": "264*f**2" }, { "q": "Let v(z) be the third derivative of 99*z**5/10 - 6*z**2 - 34*z. Let t(x) = 2*x**2. Give t(v(q)).", "a": "705672*q**4" }, { "q": "Let q(k) = -12*k - 2. Let m(t) = -2*t**2 - 109. Determine m(q(a)).", "a": "-288*a**2 - 96*a - 117" }, { "q": "Let x(w) = w**2. Let n(u) be the second derivative of -11*u**7/315 + 13*u**4/12 - 35*u. Let q(t) be the third derivative of n(t). Give q(x(d)).", "a": "-88*d**4" }, { "q": "Let q(o) = -17*o. Let j(v) = -464794*v**2. Calculate q(j(i)).", "a": "7901498*i**2" }, { "q": "Let h(t) = 2*t + 127 - 4*t - 5*t - 60 - 69. Let k(z) = -21*z. Determine k(h(b)).", "a": "147*b + 42" }, { "q": "Let v(n) be the first derivative of -n**2 - 187*n - 379. Let f(p) = -p. What is f(v(o))?", "a": "2*o + 187" }, { "q": "Let d(r) = 2*r**2. Let g(w) = 3*w**2 - 19*w + 26. Let i be g(2). Let o(t) be the second derivative of 1/3*t**3 + 0 + i*t**2 + 5*t. Give o(d(s)).", "a": "4*s**2" }, { "q": "Let g(u) = -7*u. Let v(k) = -8*k - 1. Let l(x) = 4*x + 1. Let y(i) = -7*l(i) - 4*v(i). Let m(f) = 13*f - 11. Let r(a) = 6*m(a) - 22*y(a). Calculate r(g(j)).", "a": "70*j" }, { "q": "Let f(z) = -2*z**2 - 9. Let x(v) be the first derivative of -7*v**2 + 1191. Calculate f(x(u)).", "a": "-392*u**2 - 9" }, { "q": "Let r(k) = 3050*k - 7. Let i(v) = 11*v. Determine i(r(g)).", "a": "33550*g - 77" }, { "q": "Let p(o) = 551*o**2. Let i(h) = -2 + 9377*h**2 - 9379*h**2 + 2. Calculate p(i(a)).", "a": "2204*a**4" }, { "q": "Let j(a) = 29*a. Let m = -168 - -170. Let c(i) = i**m + 2*i - 7*i + 5*i. Determine j(c(n)).", "a": "29*n**2" }, { "q": "Let k(r) = 414*r**2 - 1. Let s(h) be the second derivative of h**3/3 + 44*h - 13. Calculate k(s(j)).", "a": "1656*j**2 - 1" }, { "q": "Let b(y) = 65*y - 51. Let s(z) = -23*z + 18. Let n(p) = -6*b(p) - 17*s(p). Let q(u) = u**2 - 4*u**2 + 3*u**2 - u**2 + u. Calculate n(q(m)).", "a": "-m**2 + m" }, { "q": "Let v(a) = 132492*a. Let l(d) = -102*d**2. Determine l(v(b)).", "a": "-1790521266528*b**2" }, { "q": "Let k(x) = -13*x - 53. Let v be k(-5). Let f(r) = 6 - 11 + 5 - v*r**2. Let d(b) = -3*b. Give f(d(h)).", "a": "-108*h**2" }, { "q": "Let k(x) = 6*x - 10. Let l(j) = j - 2. Let i(u) = -2*k(u) + 10*l(u). Let q(h) be the third derivative of 173*h**4/24 - 22*h**2. Determine q(i(t)).", "a": "-346*t" }, { "q": "Let b(o) = o + 15922. Let y(j) = 48*j. Determine y(b(a)).", "a": "48*a + 764256" }, { "q": "Let v(z) = -z - 1. Let j(m) = -6*m - 4. Let s(b) = -3*j(b) + 12*v(b). Let p(g) = -3*g - 12. Let q(u) = 2*u + 9. Let k(c) = -3*p(c) - 4*q(c). What is k(s(a))?", "a": "6*a" }, { "q": "Let g(p) = 11*p**2 - p**2 + 6*p**2. Suppose 5*m - 37550 - 22220 = -5*l, -4*l + 2*m = -47846. Let b(c) = c - l + 11959. Calculate b(g(o)).", "a": "16*o**2" }, { "q": "Let p(b) = -10*b - 4. Let r(q) be the second derivative of -13*q**3/2 + 12*q - 57. What is p(r(k))?", "a": "390*k - 4" }, { "q": "Let w(k) = -k + 5. Let s be w(-15). Let p(m) = 5 - 5 + 3*m**2 - s*m**2. Let q(b) be the first derivative of b**2/2 + 36. Determine p(q(z)).", "a": "-17*z**2" }, { "q": "Let t(j) be the first derivative of -2*j**3 + 14*j - 35. Let d(h) = -5*h**2 + 12. Let y(b) = 7*d(b) - 6*t(b). Let z(q) = 64*q**2. What is y(z(x))?", "a": "4096*x**4" }, { "q": "Let g(a) be the third derivative of a**4/6 - a**2. Let o(p) = 2529*p - 7673*p + 2558*p + 2551*p. What is g(o(q))?", "a": "-140*q" }, { "q": "Let f be ((-102)/85)/((-4)/(-10)). Let y(d) = -d + 8. Let h(i) = -i + 6. Let g(b) = f*y(b) + 4*h(b). Let q(l) = -l - 3*l + l. Give q(g(r)).", "a": "3*r" }, { "q": "Let y(q) = -32*q. Let b(v) = -4 - v - v + 3*v. Let t(j) = 71. Let o(x) = 81. Let u(n) = 7*o(n) - 8*t(n). Let g(h) = -b(h) + 4*u(h). What is y(g(i))?", "a": "32*i" }, { "q": "Let m = -83 - -84. Let z(f) = -3 + 4*f - m + 4. Let n(a) be the third derivative of -7*a**5/60 - 2*a**2. What is n(z(l))?", "a": "-112*l**2" }, { "q": "Let b(j) = -1525*j. Let t(i) be the third derivative of i**5/30 + i**2 - 12. What is t(b(l))?", "a": "4651250*l**2" }, { "q": "Let o(u) = -8*u - 6. Let k(z) be the second derivative of -5*z**3/3 - 2*z + 115. Give k(o(x)).", "a": "80*x + 60" }, { "q": "Let z(p) = -20*p. Let d = -171 + 171. Let f(s) = -2*s - 2*s + d*s. Calculate f(z(x)).", "a": "80*x" }, { "q": "Let o = 148 - 146. Let m(z) = 3*z**2 + 11*z - 11*z - 91*z**o. Let u(v) = -2*v. What is m(u(w))?", "a": "-352*w**2" }, { "q": "Let t(g) = 2*g. Suppose -42*v + 25*v + 153 = 0. Let c(n) be the second derivative of -1/2*n**3 + 0*n**2 + 0 - v*n. Determine t(c(l)).", "a": "-6*l" }, { "q": "Let l(k) = 3*k + 16364. Let u(q) = -100*q**2. What is l(u(h))?", "a": "-300*h**2 + 16364" }, { "q": "Suppose -5*n + 14330 = 3450. Let f(g) = -2*g + n - 2176. Let w(l) = -21*l. Give f(w(u)).", "a": "42*u" }, { "q": "Let k(j) = -2*j. Let h(p) = -618939*p. Determine h(k(w)).", "a": "1237878*w" }, { "q": "Let h be 13/(65/10) - 31/(-1). Let n(m) = -h*m + 27*m - 20*m. Let d(c) = -3*c. What is d(n(o))?", "a": "78*o" }, { "q": "Let b(j) = -1856*j**2. Let y(q) = 741*q**2. Calculate y(b(u)).", "a": "2552549376*u**4" }, { "q": "Let u(k) = -8951*k + 1. Let y(j) = -j + 46. Determine u(y(i)).", "a": "8951*i - 411745" }, { "q": "Let k(d) = 3*d**2. Let i(h) be the third derivative of -37*h**5/30 + 7*h**2 + 48. Determine i(k(u)).", "a": "-666*u**4" }, { "q": "Let y(k) = -k**3 + 8*k**2 - 5*k - 10. Let o be y(7). Let v(c) = o - c - 4. Let q(u) be the first derivative of -2*u**3/3 + 13. Give v(q(m)).", "a": "2*m**2" }, { "q": "Let t = 412 - 408. Let o(a) = -21*a**2 + 29*a**2 + t*a**2. Let v(z) = -z + 6*z - 3*z. Calculate o(v(p)).", "a": "48*p**2" }, { "q": "Let o(s) = s**2. Let b be (-24)/(-30) - (-369)/45. Let v(j) be the third derivative of 0*j**3 + 7/30*j**5 + 0 + 0*j**4 - b*j**2 + 0*j. Give v(o(k)).", "a": "14*k**4" }, { "q": "Let n(m) be the second derivative of 8*m - 13/2*m**3 + 0*m**2 + 0. Let k(z) be the first derivative of z**2/2 + 6. Calculate k(n(s)).", "a": "-39*s" }, { "q": "Let b(f) = 60*f - 188*f + 63*f + 66*f. Let y(i) = 12*i**2 + 13*i. Calculate y(b(h)).", "a": "12*h**2 + 13*h" }, { "q": "Let x(v) be the third derivative of v**8/20160 + 11*v**5/60 + 15*v**2. Let y(t) be the third derivative of x(t). Let r(u) = 8*u - 78 + 78. Calculate y(r(z)).", "a": "64*z**2" }, { "q": "Let y(l) = 5*l. Let q(o) be the second derivative of -3*o**3 + 4*o**2 - 1085*o. Determine y(q(f)).", "a": "-90*f + 40" }, { "q": "Let s(d) = 8*d + 2. Let i(n) = 187*n**2 + 77*n + 154. Let c(y) = 12*y**2 + 5*y + 10. Let u(x) = -77*c(x) + 5*i(x). Calculate u(s(a)).", "a": "704*a**2 + 352*a + 44" }, { "q": "Let l(c) = 45*c**2 + c. Let g(u) = 25*u + 30*u + 32*u - 111*u + 16*u. Calculate l(g(j)).", "a": "2880*j**2 - 8*j" }, { "q": "Let c = 29 + -7. Suppose -2*j + 39 = z - 0*z, -j + c = z. Let m(w) = j*w + 0*w - 6*w. Let k(h) = -2*h**2. Calculate k(m(b)).", "a": "-242*b**2" }, { "q": "Let m(j) = 613930*j**2. Let s(n) = -2*n**2. Give m(s(z)).", "a": "2455720*z**4" }, { "q": "Let l(h) = -h**2 - h - 1. Let t(n) = 10*n**2 + 8*n + 8. Let j(y) = 8*l(y) + t(y). Let q(m) be the third derivative of 26*m**5/15 + 159*m**2. Determine q(j(p)).", "a": "416*p**4" }, { "q": "Let i(j) = 29545*j. Let v(a) = -49*a**2. Determine v(i(z)).", "a": "-42772444225*z**2" }, { "q": "Let w(a) = -4018*a**2. Let f(s) = -82*s**2. Let z(c) = -246*f(c) + 5*w(c). Let l(p) be the second derivative of p**3/3 - 33*p. Calculate l(z(y)).", "a": "164*y**2" }, { "q": "Let t(p) = -1935*p**2. Let u(s) = -3*s + 2. Let j(q) = 5*q - 4. Let g(m) = -j(m) - 2*u(m). Determine g(t(i)).", "a": "-1935*i**2" }, { "q": "Let m(l) = 2019*l. Let y(r) = 64*r**2 - 37*r**2 - 29*r**2. Determine m(y(b)).", "a": "-4038*b**2" }, { "q": "Let a(v) be the first derivative of 468*v**3 + 888. Let q(f) = -f**2. Calculate a(q(i)).", "a": "1404*i**4" }, { "q": "Let g(i) = 2*i**2 - 4*i. Let l(n) = n**2 - n. Let p(d) = g(d) - 4*l(d). Let o(j) = -1255*j**2. What is o(p(w))?", "a": "-5020*w**4" }, { "q": "Let c(g) = -200*g**2 + 2*g. Let l(m) = -34*m - 1. Calculate l(c(d)).", "a": "6800*d**2 - 68*d - 1" }, { "q": "Let c(p) be the third derivative of -p**5/15 - 1422*p**2 - 2*p. Let o(t) = -336*t. Give c(o(r)).", "a": "-451584*r**2" }, { "q": "Let g(c) = -c. Let w(a) = -1082194*a + 5. Determine g(w(z)).", "a": "1082194*z - 5" }, { "q": "Let a(h) = 3*h**2. Let n(p) be the second derivative of 0*p**3 + 15*p - 14/3*p**4 + 1 + 0*p**2. What is n(a(g))?", "a": "-504*g**4" }, { "q": "Let b(q) be the first derivative of 26 + 0*q + 0*q**2 + 113/3*q**3. Let w(z) = -2*z**2. Calculate b(w(a)).", "a": "452*a**4" }, { "q": "Let j(l) = -5*l + 8. Let y(p) = 3*p - 5. Let i(v) = 5*j(v) + 8*y(v). Let u(z) = -78*z - 2. Let w(d) = 245*d + 5. Let m(a) = 6*u(a) + 2*w(a). Give m(i(q)).", "a": "-22*q - 2" }, { "q": "Let x(s) = -35*s. Let k = 10 - 8. Let c(o) = 19*o**k - 9*o**2 - 13*o**2. Calculate c(x(q)).", "a": "-3675*q**2" }, { "q": "Let z(p) = 36*p**2. Let s(w) = -24060*w. Determine s(z(a)).", "a": "-866160*a**2" }, { "q": "Let m(l) be the second derivative of 5*l**4/2 + l**3/3 - 20*l. Let t(i) = -12 + 12 - 22*i**2 + 24*i**2. What is t(m(a))?", "a": "1800*a**4 + 240*a**3 + 8*a**2" }, { "q": "Let r(j) = -13*j**2. Let f(n) = n**2 - 4*n - 16. Let k be f(-4). Let h(s) = -5*s - 7*s - 7*s + k*s. Calculate h(r(w)).", "a": "39*w**2" }, { "q": "Let p(h) be the third derivative of -h**5/30 + 479*h**2 + 2. Let o(d) = 2889*d. What is o(p(k))?", "a": "-5778*k**2" }, { "q": "Let k(o) = 2*o - 77. Let t(q) be the second derivative of -q**4/12 + 2*q - 666. Give t(k(g)).", "a": "-4*g**2 + 308*g - 5929" }, { "q": "Let n(i) = 3*i**2. Let v(b) = 80*b - 5988. Give v(n(d)).", "a": "240*d**2 - 5988" }, { "q": "Let p(i) = -i. Let x(l) be the third derivative of -77/60*l**5 + 0*l + 0*l**4 + 48*l**2 + 0 + 0*l**3. What is x(p(o))?", "a": "-77*o**2" }, { "q": "Let y = -22 + 24. Let o(v) be the first derivative of 1 + 4*v**2 - 7*v**y - 7. Let t(p) = 2*p**2. Determine o(t(b)).", "a": "-12*b**2" }, { "q": "Let p(f) = -6*f. Let t(i) = 32*i. Let m = 73 + -31. Suppose -4*a - 3*a = m. Let l(c) = a*t(c) - 33*p(c). Let b(j) = -j. Determine l(b(g)).", "a": "-6*g" }, { "q": "Let x(n) = -n. Let b(m) be the third derivative of 0*m + 37*m**2 + 1/3*m**4 + 1 + 0*m**3. Calculate b(x(l)).", "a": "-8*l" }, { "q": "Let v(h) be the third derivative of -h**5/60 - 4*h**2. Let o(a) = 44*a**2 + 88*a + 176. Let k(x) = -x - 2. Let y(d) = 88*k(d) + o(d). Determine y(v(g)).", "a": "44*g**4" }, { "q": "Let n(i) = 14281*i. Let v(w) = 6*w**2 - 109*w. Give n(v(c)).", "a": "85686*c**2 - 1556629*c" }, { "q": "Suppose f = 5*t - 2*f - 2848, -568 = -t + f. Let p(s) = s**2 + t - 572. Let k(j) = -2*j**2. Calculate k(p(h)).", "a": "-2*h**4" }, { "q": "Let b(u) be the first derivative of -u**3/3 - 4*u**2 - 4. Let i(a) = -2*a + 5*a + 0*a - 11*a + 6*a. Give b(i(o)).", "a": "-4*o**2 + 16*o" }, { "q": "Let w(k) = -3*k - 67523 + 67523. Let y(v) = -3*v - 1. Let u(x) = -13*x - 5. Let j(i) = 2*u(i) - 9*y(i). Let p(s) = 2. Let q(m) = -2*j(m) - p(m). Give q(w(z)).", "a": "6*z" }, { "q": "Let l(z) = -117*z**2. Let t(h) = -h + 36776. What is t(l(x))?", "a": "117*x**2 + 36776" }, { "q": "Let c(b) = -7 + 236*b + 33 - 241*b. Let z(m) = -4*m. Give z(c(f)).", "a": "20*f - 104" }, { "q": "Let r(k) = 164134*k. Let u(f) = 34*f. What is r(u(x))?", "a": "5580556*x" }, { "q": "Let v(q) = -2*q. Let g(i) = -21*i**2 + 129884. Determine v(g(d)).", "a": "42*d**2 - 259768" }, { "q": "Let m(t) = 10*t. Let l = -109/5 - -337/15. Let y(j) be the first derivative of -3 - l*j**3 + 0*j**2 + 0*j. What is y(m(x))?", "a": "-200*x**2" }, { "q": "Let g(q) = -8*q**2 - 4*q - 10. Let m(z) = -18*z - 1. What is m(g(u))?", "a": "144*u**2 + 72*u + 179" }, { "q": "Let c(b) be the second derivative of -b**4/6 - b. Let j(z) be the second derivative of 23*z**3/6 - 5374*z. What is j(c(k))?", "a": "-46*k**2" }, { "q": "Let p(i) = -i**2. Let h be 15*4/60 + (0 - -1). Let o(l) be the first derivative of -13 + 0*l - 3/2*l**h. Give o(p(f)).", "a": "3*f**2" }, { "q": "Let r be (7 - 0)/1 + (-1 - -1). Let q(j) = 7*j - r*j + 10*j. Let l(w) = 8*w. Calculate q(l(p)).", "a": "80*p" }, { "q": "Let r(k) = -3*k**2. Let c be ((-76)/(-57))/((-4)/(-18)). Let m(g) be the first derivative of -10 - 5*g**3 + 17 + c*g**3. What is r(m(b))?", "a": "-27*b**4" }, { "q": "Let q(u) = -65*u**2. Let a(y) = y**3 - 12*y**2 + 36*y - 18. Let l be a(8). Let c(d) = 15*d**2 - 32*d**2 + l*d**2. What is q(c(n))?", "a": "-585*n**4" }, { "q": "Let n(s) = 179*s**2 - 234*s**2 + 127*s**2 - 478*s**2 - 603*s**2. Let x(c) = c. Calculate n(x(i)).", "a": "-1009*i**2" }, { "q": "Let n(v) = 5026*v + 1. Let a(l) = l - 36. What is a(n(r))?", "a": "5026*r - 35" }, { "q": "Let l(w) = 120466*w**2 + 36*w. Let d(j) = j. Determine d(l(z)).", "a": "120466*z**2 + 36*z" }, { "q": "Let a(c) = 83*c**2 + 48*c**2 + 0*c - 2*c. Let i(s) be the second derivative of -s**3/3 + 51*s + 2. Give i(a(t)).", "a": "-262*t**2 + 4*t" }, { "q": "Let q(h) be the second derivative of -39*h**3/2 - 10*h + 6. Let v(f) = -13*f. Determine v(q(n)).", "a": "1521*n" }, { "q": "Let s(g) = -7659*g**2 + 1. Let k(v) = 493*v. Calculate s(k(d)).", "a": "-1861512291*d**2 + 1" }, { "q": "Let p(r) be the third derivative of -r**6/40 + 28*r**3/3 + 40*r**2 + 2*r. Let f(c) be the first derivative of p(c). Let h(w) = -7*w**2. Give f(h(v)).", "a": "-441*v**4" }, { "q": "Let t(m) = 5*m**2. Suppose 102 = -5*u + 22*u. Let n(s) = 19*s**2 - 18*s**2 + u*s**2. Give t(n(b)).", "a": "245*b**4" }, { "q": "Let f(r) = -2*r - 289. Let x(i) = -4503*i. Determine f(x(q)).", "a": "9006*q - 289" }, { "q": "Let r(z) = -z**2. Let g(i) = 2173*i - 4346*i + 2171*i + 926. Give r(g(d)).", "a": "-4*d**2 + 3704*d - 857476" }, { "q": "Let k(p) = 4*p**2. Let h(c) = 16266*c**2 - 96*c. Calculate h(k(o)).", "a": "260256*o**4 - 384*o**2" }, { "q": "Let z(w) = -7431*w. Let l(c) = 1514*c**2. Calculate l(z(v)).", "a": "83602718154*v**2" }, { "q": "Let t(k) = -65*k**2 + 33*k - 50. Let h(f) = -12*f**2 + 6*f - 10. Let l(s) = -11*h(s) + 2*t(s). Let c(p) = 5*p. Calculate c(l(i)).", "a": "10*i**2 + 50" }, { "q": "Let n(y) = -1. Let p(f) = -f + 1. Let a(g) = n(g) + p(g). Let b be (4 - 3)/(-4 + 1253/313). Let c(d) = 158 + 4*d**2 - b + 155. Determine a(c(m)).", "a": "-4*m**2" }, { "q": "Let u(c) = -41871*c**2 - c. Let x(g) = -8*g + 1. Calculate x(u(w)).", "a": "334968*w**2 + 8*w + 1" }, { "q": "Let q(o) = -2*o. Let z(j) = 226*j + 44 - 461*j + 103*j. Let p(m) = -19*m + 6. Let f(b) = -22*p(b) + 3*z(b). Give f(q(w)).", "a": "-44*w" }, { "q": "Let u(r) = 46246709*r. Let h(x) = 2*x. Determine u(h(z)).", "a": "92493418*z" }, { "q": "Let a(t) = -2*t**2. Let l(w) = 40*w**2 + 2 + 536*w - 2 - 536*w. Give a(l(k)).", "a": "-3200*k**4" }, { "q": "Let g(z) = z**2. Let a(r) be the first derivative of 3*r**2/2 - 360*r + 1327. Calculate g(a(q)).", "a": "9*q**2 - 2160*q + 129600" }, { "q": "Let c(k) = 96*k - 2. Let i(z) = -z**2 - 6*z + 2. Let t(j) = j**2 - 3*j + 1. Let n(a) = -i(a) + 2*t(a). What is n(c(r))?", "a": "27648*r**2 - 1152*r + 12" }, { "q": "Let p(k) = 2*k + 3. Let m(a) = -959*a - 822. Let f(x) = m(x) + 274*p(x). Let t(l) = 2*l**2. Give t(f(y)).", "a": "337842*y**2" }, { "q": "Let a(t) = 3*t**2. Let q(j) = -1113995*j. Give q(a(d)).", "a": "-3341985*d**2" }, { "q": "Let l(t) = 537065*t**2. Let x(d) = -7*d**2. Determine x(l(q)).", "a": "-2019071699575*q**4" }, { "q": "Let s(i) = i**2. Let u be (-40)/(-18) - 8/36. Let j be 1/u + 0 - (-3)/2. Let k(w) = 5*w + 2*w - j*w. Calculate s(k(n)).", "a": "25*n**2" }, { "q": "Let v(q) = 8*q. Let t(g) = -2*g - 138924. What is t(v(h))?", "a": "-16*h - 138924" }, { "q": "Let p(u) = 2*u. Let k(n) = n + 19. Let x be -20 + -1 - (-6 + 4). Let h be k(x). Let t(b) = -b**2 + h*b**2 - 6*b**2. Calculate p(t(w)).", "a": "-14*w**2" }, { "q": "Let a(z) = 58*z. Let h(v) = v**2 + 4*v - 5. Let o(p) = -4*p**2 - 24*p + 30. Let b(f) = -6*h(f) - o(f). Determine b(a(r)).", "a": "-6728*r**2" }, { "q": "Let n(k) = 29*k**2 + k. Let x(u) = -830*u - 9. Calculate x(n(y)).", "a": "-24070*y**2 - 830*y - 9" }, { "q": "Let y(b) be the first derivative of 3*b**3 - 1. Let k(m) be the second derivative of m**4/3 + 14144*m. Give y(k(q)).", "a": "144*q**4" }, { "q": "Let s(j) = -j. Let b(x) be the second derivative of x**4/3 - 5*x**3/3 + 8*x. Let g(i) = -b(i) + 10*s(i). Let f(w) = 32*w. What is f(g(k))?", "a": "-128*k**2" }, { "q": "Let m(a) = -22*a. Let b(w) = -5*w**2 + w + 10*w**2 + w**2 - 5*w**2. Let r(q) = -q. Suppose 3*o - 6 = 6*o. Let i(u) = o*b(u) - 2*r(u). What is m(i(v))?", "a": "44*v**2" }, { "q": "Let v(d) = -6 + 55*d**2 + 6 + 622*d**2 - 7*d**2. Let n(q) = -2*q**2. Determine n(v(k)).", "a": "-897800*k**4" }, { "q": "Let h(c) = -3*c**2 + 4. Let p(i) = 2*i**2 - 4. Let x(k) = -h(k) - p(k). Let b(v) = -824*v**2 - 2. Calculate b(x(y)).", "a": "-824*y**4 - 2" }, { "q": "Let n(u) = -u**2 + 1885*u. Let a(h) = h + 185. What is n(a(t))?", "a": "-t**2 + 1515*t + 314500" }, { "q": "Let o(m) = -194*m**2 - 606. Let h(g) = 9*g. What is o(h(k))?", "a": "-15714*k**2 - 606" }, { "q": "Let u(b) = 784010*b. Let s(a) = -2*a. Calculate u(s(p)).", "a": "-1568020*p" }, { "q": "Let z(g) = 3*g**2. Let i(b) = 166348*b - 2. Determine i(z(r)).", "a": "499044*r**2 - 2" }, { "q": "Let i(a) = 7*a + 2. Let u(g) = -168*g - 49. Let n(p) = -49*i(p) - 2*u(p). Suppose -5 = -4*z - 1. Let h(l) = -8 - z + 9 + 2*l. Determine n(h(f)).", "a": "-14*f" }, { "q": "Let m(i) = -17*i**2. Let w(h) = 865*h - 429*h - 4 - 438*h + 6. Determine m(w(n)).", "a": "-68*n**2 + 136*n - 68" }, { "q": "Let x(r) = 362*r**2. Let l(a) = 28087*a. Calculate x(l(v)).", "a": "285574403978*v**2" }, { "q": "Let y(z) = -1409*z**2 + 40*z - 4. Let n(s) = -3*s. Calculate n(y(b)).", "a": "4227*b**2 - 120*b + 12" }, { "q": "Let i(l) = -2*l + 4069. Let d(a) = 174*a**2 + 2. What is i(d(x))?", "a": "-348*x**2 + 4065" }, { "q": "Let n(y) = 199533*y**2. Let p(q) = -10*q. Calculate n(p(k)).", "a": "19953300*k**2" }, { "q": "Let c(q) be the third derivative of -q**5/60 + 3*q**2 + 58. Let f(a) = 314*a**2. Calculate c(f(p)).", "a": "-98596*p**4" }, { "q": "Let n(h) = -4 - 23*h + 4. Let q(k) be the second derivative of 0 + 1/6*k**3 - 15*k + 0*k**2. Give q(n(d)).", "a": "-23*d" }, { "q": "Let f(r) = -2*r + 2837. Let t(k) = -3679*k - 1. Calculate t(f(z)).", "a": "7358*z - 10437324" }, { "q": "Let b(k) = -2*k - 20. Let u = 50 - 48. Let d(w) = 30*w**u - 82*w**2 + 26*w**2 + 27*w**2. Give d(b(s)).", "a": "4*s**2 + 80*s + 400" }, { "q": "Let m(r) = -842*r. Let l(o) = -1676*o**2. Give l(m(q)).", "a": "-1188223664*q**2" }, { "q": "Let r(d) = -3*d. Let t(h) = h. Let j(q) = r(q) - 3*t(q). Suppose 1 = g - 2*k + 9, -2*k = -5*g. Let c(i) = 7*i**2 + 11*i**g - 17*i**2. What is c(j(o))?", "a": "36*o**2" }, { "q": "Let p(f) = 44931*f. Let h(s) = 16*s - 5. What is p(h(c))?", "a": "718896*c - 224655" }, { "q": "Let x(i) = 174*i**2 + 22*i - 171*i**2 - 22*i. Let m(a) = 127*a + 1. Calculate m(x(f)).", "a": "381*f**2 + 1" }, { "q": "Suppose 4*c - 5*s - 644 = 0, 0 = 4*c + s - 578 - 90. Let q(u) = -22*u**2 - 166 + c. Let n(v) = -6*v**2. Determine n(q(h)).", "a": "-2904*h**4" }, { "q": "Let z(x) = 2*x**2 - 7*x. Let l(h) = -h + 98. Let v(u) = -3*u + 252. Let o(i) = 18*l(i) - 7*v(i). Give o(z(b)).", "a": "6*b**2 - 21*b" }, { "q": "Let d(x) be the third derivative of -x**8/1344 - 19*x**5/30 + 4*x**2 + 2*x. Let b(s) be the third derivative of d(s). Let f(h) = -2*h**2. Give b(f(j)).", "a": "-60*j**4" }, { "q": "Let s(g) be the third derivative of 15*g**4/8 + 2*g**2. Let m(h) be the second derivative of -h**4/12 + 16*h - 106. Give m(s(i)).", "a": "-2025*i**2" }, { "q": "Let t(l) = -2317*l + 32. Let z(h) = -12*h. Give z(t(w)).", "a": "27804*w - 384" }, { "q": "Let c(u) = 6*u. Let w(k) be the first derivative of k**2 + 11*k - 390. What is c(w(t))?", "a": "12*t + 66" }, { "q": "Let p(a) = a**2 + 67*a. Let f(t) = 83284*t**2. Give p(f(g)).", "a": "6936224656*g**4 + 5580028*g**2" }, { "q": "Let w(b) = -247*b + 5. Let j(f) = -151*f**2 + 5*f. Calculate w(j(r)).", "a": "37297*r**2 - 1235*r + 5" }, { "q": "Let x(b) = -73*b**2. Let d(h) = -6*h**2 - 44. Let l(i) = -5*i**2 - 33. Let p(k) = 3*d(k) - 4*l(k). Determine x(p(t)).", "a": "-292*t**4" }, { "q": "Suppose 3*r = -4*k + 4, 0 = 2*r - 4*k + k - 31. Let u be (2/8*-2)/((-2)/r). Let d(v) = 8 - 2*v**u + 2 - 10. Let i(n) = -n**2. Give i(d(x)).", "a": "-4*x**4" }, { "q": "Let l(z) = 8*z. Let n(w) = -4*w. Let o(j) = 3*l(j) + 7*n(j). Let g = -168 - -171. Let s(t) = -9*t**2 + 5*t**2 + g*t**2. What is s(o(r))?", "a": "-16*r**2" }, { "q": "Suppose 92 = -10*k + 12*k. Let r = -36 + k. Let b(a) = 10 + 7*a**2 - r + 5*a**2. Let h(v) = -3*v**2. Calculate h(b(z)).", "a": "-432*z**4" }, { "q": "Let j(f) be the third derivative of -1/60*f**5 + f**2 + 0*f + 0 + 0*f**3 + 0*f**4. Let b(y) = 305924*y**2 + 0 - 4 + 4 - 305901*y**2. What is j(b(v))?", "a": "-529*v**4" }, { "q": "Let r(g) = -33*g - 2. Let w(o) = -2*o - 7 - 14*o - 84*o. Let n(f) = -7*r(f) + 2*w(f). Let a(u) = 3*u**2. What is a(n(b))?", "a": "2883*b**2" }, { "q": "Let y(j) be the third derivative of -j**4/24 - 712*j**2. Let p(a) = -59*a**2 + 17*a. Determine y(p(d)).", "a": "59*d**2 - 17*d" }, { "q": "Let c(u) = 75*u**2 + 8. Let s(p) = 90 + 87 + p**2 - 270 + 93. Calculate s(c(o)).", "a": "5625*o**4 + 1200*o**2 + 64" }, { "q": "Let l(z) = 2*z**2. Let b(u) = 1031*u + 1155*u - 1724*u. What is b(l(g))?", "a": "924*g**2" }, { "q": "Let t(m) = -2347*m**2 - 2. Let y(p) be the second derivative of p**3/6 - 2*p - 238. Calculate y(t(x)).", "a": "-2347*x**2 - 2" }, { "q": "Let n(l) = -3*l. Let k(s) = -368577*s. Determine n(k(q)).", "a": "1105731*q" }, { "q": "Let h(x) = 12*x. Let c(k) be the first derivative of 62 + 0*k + 1/2*k**2. Determine c(h(i)).", "a": "12*i" }, { "q": "Let y(f) = -52*f. Let p(v) = 2*v**2 + 66*v + 388. Determine y(p(z)).", "a": "-104*z**2 - 3432*z - 20176" }, { "q": "Let b(g) = 16*g**2 + 11*g. Let i(y) = 4071*y + 2. Give i(b(o)).", "a": "65136*o**2 + 44781*o + 2" }, { "q": "Let g be 370/15*(-990)/(-12). Let y(k) = 2035 - g + 3*k. Let c(d) = 5*d**2. What is c(y(x))?", "a": "45*x**2" }, { "q": "Let j(b) = 78763*b. Let z(f) = 13*f**2. Give j(z(o)).", "a": "1023919*o**2" }, { "q": "Let y(p) = 6*p. Let q(n) be the first derivative of 2*n**2 - 7*n - 1468. Calculate y(q(v)).", "a": "24*v - 42" }, { "q": "Let m(j) = 7*j. Let r(u) = 11*u - 101537. Determine m(r(w)).", "a": "77*w - 710759" }, { "q": "Let d(g) = -12*g**2 - 173454. Let w(j) = -j. Calculate d(w(n)).", "a": "-12*n**2 - 173454" }, { "q": "Let w(n) = -4*n**2. Let p(g) = -2901493*g**2. Calculate p(w(j)).", "a": "-46423888*j**4" }, { "q": "Let q = 4159 - 694. Let i(c) = 9*c**2 + 6*c**2 + 3465*c - q*c. Let g(v) = -6*v. Calculate i(g(k)).", "a": "540*k**2" }, { "q": "Let h(o) = -10*o**2 + 2*o + 153. Let u(q) = 2*q - 4. What is u(h(z))?", "a": "-20*z**2 + 4*z + 302" }, { "q": "Let f(k) = -k. Let c(p) = 207 - 393 + 276 + 12*p. What is c(f(n))?", "a": "-12*n + 90" }, { "q": "Let u(a) = -2*a. Let j(c) = 276*c**2 - 262*c + 1. Calculate j(u(d)).", "a": "1104*d**2 + 524*d + 1" }, { "q": "Let s(y) = 5*y**2. Let l(z) = -854389*z**2. Calculate s(l(m)).", "a": "3649902816605*m**4" }, { "q": "Let w(a) = 2291401*a + 2. Let i(n) = 2*n. Determine i(w(k)).", "a": "4582802*k + 4" }, { "q": "Let l(b) be the second derivative of b**3/2 - 69*b. Let q(w) = w**3 - 7*w**2 - 12*w - 6. Let k be q(9). Let g(c) = 48 - k + c**2. Give g(l(x)).", "a": "9*x**2" }, { "q": "Let o(g) = 2*g**2 - 4*g. Let z(c) = 19988*c. Determine z(o(k)).", "a": "39976*k**2 - 79952*k" }, { "q": "Let b(d) = -2*d. Suppose 3*y = 4*y - 2. Suppose -r + y*z + 0*z + 5 = 0, 0 = 4*r + 3*z - 20. Let q(a) = -4*a**2 - r*a**2 + 4*a**2. Determine b(q(n)).", "a": "10*n**2" }, { "q": "Let c(u) = -u**2 + 4*u - 4*u. Let m(s) be the second derivative of 13*s**4/24 - 9*s**2 - 78*s. Let l(t) be the first derivative of m(t). Determine l(c(f)).", "a": "-13*f**2" }, { "q": "Let f(v) = 12*v + 10. Let o(l) = 10*l + 7. Let r(p) = 7*f(p) - 10*o(p). Let h(g) = 10*g**2 + g. Determine r(h(b)).", "a": "-160*b**2 - 16*b" }, { "q": "Let g(o) = -10*o**2. Let x(q) be the third derivative of 15*q**4/8 - 9*q**2 - 28*q. Determine x(g(y)).", "a": "-450*y**2" }, { "q": "Let g(z) = 2*z + 13*z**2 - 2*z. Let c(h) = -h**3 - 7*h**2 - 4*h + 14. Let p be c(-6). Let i(k) = -24*k**p + 39*k**2 - 13*k**2. Determine g(i(v)).", "a": "52*v**4" }, { "q": "Let c(x) be the first derivative of 923*x**3/3 - 353. Let o(m) = m. Give c(o(n)).", "a": "923*n**2" }, { "q": "Let u(r) = -3140*r. Let c(d) = -4521*d. Determine c(u(n)).", "a": "14195940*n" }, { "q": "Let g(b) = 18*b. Suppose -a = -172 + 113. Let u(j) = -61*j + 124*j - a*j. What is u(g(y))?", "a": "72*y" }, { "q": "Let v(g) be the first derivative of 5*g**2 + 585. Let c(u) = -14*u**2. What is c(v(x))?", "a": "-1400*x**2" }, { "q": "Let c(u) = -101*u + 6. Let g(v) be the second derivative of 539*v**3/2 - 99*v**2/2 - 2*v + 5. Let q(l) = 33*c(l) + 2*g(l). Let t(x) = 2*x. Give q(t(o)).", "a": "-198*o" }, { "q": "Let q(s) = 237*s + 2. Let w(b) = -21520*b. Give w(q(p)).", "a": "-5100240*p - 43040" }, { "q": "Let q(m) = -17418*m + 2. Let n(s) = 66*s**2. Give q(n(f)).", "a": "-1149588*f**2 + 2" }, { "q": "Let s(r) = 5*r + 61. Let l(t) = -233*t**2 + 1. What is l(s(u))?", "a": "-5825*u**2 - 142130*u - 866992" }, { "q": "Let i(r) = -104*r**2. Let j(g) be the first derivative of 0*g - 36 + 2/3*g**3 + 0*g**2. What is j(i(z))?", "a": "21632*z**4" }, { "q": "Let j(w) = 3*w**2. Let q(h) = -160*h + 128. Let g(a) = -1. Let i(b) = b - 3. Let k(n) = 2*g(n) - i(n). Let z(f) = 128*k(f) - q(f). What is z(j(l))?", "a": "96*l**2" }, { "q": "Let i(m) = 775*m**2 - 500*m - 125. Let x(q) = -25*q**2 + 16*q + 4. Let g(c) = -4*i(c) - 125*x(c). Let j(y) = -12*y + 1. Calculate j(g(t)).", "a": "-300*t**2 + 1" }, { "q": "Let b(w) be the first derivative of -w**6/360 + w**3/3 + 16*w - 53. Let q(d) be the third derivative of b(d). Let r(i) = 69*i. What is q(r(a))?", "a": "-4761*a**2" }, { "q": "Let q(x) = -6*x**2 - 9*x + 7. Let n(j) = 5*j**2 + 8*j - 6. Let a(d) = -7*n(d) - 6*q(d). Let z(m) = 9038*m - 36 - 9039*m + 36. Calculate a(z(s)).", "a": "s**2 + 2*s" }, { "q": "Let c(a) = -3*a**2. Let f(o) be the third derivative of 0*o + 0*o**4 + 1/60*o**5 + o**2 - 21 - o**3. Calculate f(c(h)).", "a": "9*h**4 - 6" }, { "q": "Let r(s) be the third derivative of 0*s**3 + 0 + 0*s + 0*s**4 + 1/10*s**5 + 3*s**2. Let l(f) be the third derivative of -f**5/15 + 392*f**2. What is r(l(j))?", "a": "96*j**4" }, { "q": "Let f(y) = 3 - 3 + 7*y + 6*y - 14*y. Let b(r) = 2195*r. Determine b(f(a)).", "a": "-2195*a" }, { "q": "Let n(f) = -899*f**2 - 4*f + 687*f**2 + 4*f. Let i(h) = -2*h**2. Determine n(i(z)).", "a": "-848*z**4" }, { "q": "Let w(a) = -32*a. Let r(i) = -80055*i + 40024*i + 40021*i. Give w(r(d)).", "a": "320*d" }, { "q": "Let o(c) = 3*c**2 + c**2 + 2*c**2 + 0*c**2. Let f(r) = -5*r**2 + 4*r. Let l(j) = -j**2 + 40*j - 78*j + 39*j. Let x(p) = f(p) - 4*l(p). Determine o(x(n)).", "a": "6*n**4" }, { "q": "Let x(k) = 18*k**2 - k. Let z(v) = -192907*v. What is x(z(l))?", "a": "669835991682*l**2 + 192907*l" }, { "q": "Let a(d) be the third derivative of 1/2*d**4 + 0*d + 0 + 0*d**3 + d**2. Let k(j) be the third derivative of -j**4/12 - 3181*j**2. What is k(a(r))?", "a": "-24*r" }, { "q": "Suppose 6*p - 276 = -0*p. Let r = p + -41. Let g(l) = 8*l - 2 + 2 - r*l. Let s(f) = -2*f. Determine s(g(u)).", "a": "-6*u" }, { "q": "Let b(g) = 3873325*g. Let p(i) = -2*i**2. Determine b(p(m)).", "a": "-7746650*m**2" }, { "q": "Let c(b) = 11*b - 10. Let t(p) = 26*p**2 + 20*p**2 + 19*p**2 - 62*p**2. Give c(t(r)).", "a": "33*r**2 - 10" }, { "q": "Let c(s) = 2*s. Let j(m) = 11*m + 2. Let b(p) be the third derivative of 343*p**4/24 + 21*p**3/2 - 63*p**2. Let t(q) = -4*b(q) + 126*j(q). Give t(c(w)).", "a": "28*w" }, { "q": "Let r(m) = -m**2 - 468*m + 3. Let f(b) = 2*b**2. Calculate r(f(h)).", "a": "-4*h**4 - 936*h**2 + 3" }, { "q": "Let n(l) be the first derivative of -16*l**3/3 + 1465. Let x(y) = -54*y. Determine x(n(k)).", "a": "864*k**2" }, { "q": "Let z(v) = 2*v**2. Let f(h) = 6*h**2 + 203527*h. What is f(z(g))?", "a": "24*g**4 + 407054*g**2" }, { "q": "Let r(i) = i - i - 286178*i**2 + 286186*i**2. Let c(g) = 291*g. Determine c(r(t)).", "a": "2328*t**2" }, { "q": "Let o(l) be the third derivative of 7*l**4/24 + 1078*l**2. Let y(d) = 5*d**2 + 9*d. Determine y(o(x)).", "a": "245*x**2 + 63*x" }, { "q": "Let z(q) = q**2 + 8*q - 40. Let c(j) = -j**2 - 6*j + 40. Let u(f) = -4*c(f) - 3*z(f). Let x(s) = 17*s. What is x(u(b))?", "a": "17*b**2 - 680" }, { "q": "Let t(c) = 0 - 4*c + c + 1 - 1. Let u(q) = 127*q. Calculate u(t(j)).", "a": "-381*j" }, { "q": "Let k(u) = -21*u + 39*u - u**2 - 18*u. Let r(f) = 188*f**2 + 188*f**2 - 364*f**2. Determine r(k(q)).", "a": "12*q**4" }, { "q": "Let o(w) = 15*w**2 + 3*w + 6*w**2 - 3*w. Let t(k) = k**3 + 4*k**2 - 8*k - 10. Let q be t(-5). Let a(v) = 17*v - 4*v - 7*v - q*v. Calculate o(a(n)).", "a": "21*n**2" }, { "q": "Let i(w) be the first derivative of 9*w**2/2 - 6*w - 19. Let k(z) = z + 1. Let a(g) = i(g) + 6*k(g). Let r(j) = 1 - 1 - j**2 + 0*j**2. Give r(a(s)).", "a": "-225*s**2" }, { "q": "Let l(x) be the third derivative of -x**5/20 - 1839*x**2. Let v(s) = -22*s + 3 + 0 - 3. Determine l(v(b)).", "a": "-1452*b**2" }, { "q": "Let w(c) be the second derivative of -5/12*c**4 + 0 - 4*c + 0*c**2 + 0*c**3. Let t(o) = -15*o**2 - 21*o**2 + 52*o**2 - 14*o**2. What is w(t(l))?", "a": "-20*l**4" }, { "q": "Let g(y) be the second derivative of 427*y**4/4 - y**2 + 422*y - 2. Let w(j) = -j. Give g(w(s)).", "a": "1281*s**2 - 2" }, { "q": "Let t(f) = -11*f**2. Let h = 42 - 17. Let l(u) = 5*u + 12*u - h*u + 12*u. Determine l(t(q)).", "a": "-44*q**2" }, { "q": "Let y(q) = -4*q**2 + 5527*q - 6*q**2 - 5527*q. Let k(j) = 2*j + 2*j + 3*j - 4*j. Give y(k(l)).", "a": "-90*l**2" }, { "q": "Let z(r) = 2*r + 85. Let m(q) be the second derivative of q**3/3 + 426*q. Determine z(m(h)).", "a": "4*h + 85" }, { "q": "Let l be (-14 - 4 - 3)*-14. Let i(q) = 147 + 4*q - l + 147. Let p(j) = -2*j. Calculate p(i(k)).", "a": "-8*k" }, { "q": "Let w(j) = -387276*j. Let i(b) = -29*b**2. Give i(w(l)).", "a": "-4349498305104*l**2" }, { "q": "Let k(r) = -6*r + 5*r + 86 - 94. Let t(u) be the second derivative of -u**4/6 + 5*u. Determine k(t(n)).", "a": "2*n**2 - 8" }, { "q": "Let d(r) = -r**2. Let b(t) = 10089*t. Let f(u) = 1835*u. Let p(h) = 7*b(h) - 38*f(h). Calculate p(d(k)).", "a": "-893*k**2" }, { "q": "Let t(m) = 3*m**2. Suppose 0 = g + 4*g - l - 6, 0 = 2*g - l. Let q(o) = -186*o**2 + 345*o**2 - 182*o**g. What is t(q(h))?", "a": "1587*h**4" }, { "q": "Let y = -10 + 15. Let s(v) = 4*v - 5*v - y*v. Let o(j) = -2*j. Determine s(o(u)).", "a": "12*u" }, { "q": "Suppose 4*t - 27 = -7. Let a(k) = -6*k + t*k + 8*k - 3*k. Let g(s) = 3*s. Determine a(g(y)).", "a": "12*y" }, { "q": "Let w(i) = -70*i**2. Let y(g) = -23*g**2. Let c(v) = 2*w(v) - 7*y(v). Let t(a) be the second derivative of -5*a**3/6 - 4430*a. What is t(c(f))?", "a": "-105*f**2" }, { "q": "Let r(h) = -6*h**2. Let d(z) = -62*z**2 + 3*z + 3. Let p(u) = -194*u**2 + 10*u + 10. Let m(l) = -10*d(l) + 3*p(l). Determine m(r(i)).", "a": "1368*i**4" }, { "q": "Let v be (-288)/(-14) + ((-126)/(-49))/6. Let j(h) = 153 - v*h**2 - 153. Let t(w) = -4*w**2. Give j(t(m)).", "a": "-336*m**4" }, { "q": "Let g(a) = -2968251*a**2. Let f(j) = -5*j**2. Give f(g(l)).", "a": "-44052569995005*l**4" }, { "q": "Let q(c) = -87348*c. Let x(j) = 32*j - 2. Determine x(q(y)).", "a": "-2795136*y - 2" }, { "q": "Let x(g) = -71*g + 2. Let t(y) = -357*y + 11. Let i(d) = 2*t(d) - 11*x(d). Let o(b) = 16*b**2. Give i(o(k)).", "a": "1072*k**2" }, { "q": "Let u(p) be the second derivative of -283*p**3/3 + 1280*p. Let z(d) = 3*d**2. Calculate u(z(t)).", "a": "-1698*t**2" }, { "q": "Let b(n) = -170*n**2 + 7*n. Let x(h) = -95*h**2 + 4*h. Let l(o) = -4*b(o) + 7*x(o). Let m(u) = -43*u**2. Give m(l(t)).", "a": "-9675*t**4" }, { "q": "Let s(c) = 2*c. Suppose 13*q + 5*q = 504. Let u(h) = 8875 - q*h - 8875. Calculate u(s(g)).", "a": "-56*g" }, { "q": "Let g be 4 + 0 + (-33 - -31). Let i(k) = 56 + 61 - 117 - g*k**2. Let a(s) = s - 48. Determine i(a(q)).", "a": "-2*q**2 + 192*q - 4608" }, { "q": "Let f(w) = -3*w. Let v(a) = -9211762*a. What is f(v(u))?", "a": "27635286*u" }, { "q": "Let q(z) = -4*z - 5. Let f(y) = -6*y - 10. Let i(p) = 3*f(p) - 6*q(p). Let a(r) = 3*r**2 + 8*r**2 - 3*r**2. Give a(i(m)).", "a": "288*m**2" }, { "q": "Let r(k) be the first derivative of -9*k**3 - 4*k + 1305. Let w(u) = 3*u**2. What is w(r(n))?", "a": "2187*n**4 + 648*n**2 + 48" }, { "q": "Let y(j) be the second derivative of -5*j**3/6 + 11*j. Let u(z) = -19*z - 7*z - 15*z + 50*z. Calculate y(u(o)).", "a": "-45*o" }, { "q": "Let a(v) = -2009*v - 2019*v + 4047*v. Let r(h) = -2*h + 2 + 7 - 9. Give r(a(f)).", "a": "-38*f" }, { "q": "Let c(h) = 124*h. Let v(f) = -6*f**2 - 20*f. Let i(a) = 7*a**2 + 24*a. Let s(l) = 5*i(l) + 6*v(l). What is c(s(z))?", "a": "-124*z**2" }, { "q": "Let j(q) = -17*q. Let n(g) = 221044*g. Give j(n(d)).", "a": "-3757748*d" }, { "q": "Let o(k) = -2*k. Suppose -2*r + 8 = 0, r + 1064 = 9*h - 8*h. Let g(m) = 0 - 25 - h*m + 1067*m. Determine g(o(x)).", "a": "2*x - 25" }, { "q": "Let c(x) = x. Let a(m) = 140*m**2 - 16*m - 387. Give c(a(l)).", "a": "140*l**2 - 16*l - 387" }, { "q": "Let a(c) = c. Let z = -70 - -97. Let x(j) = -17*j - z*j + 24*j - 29*j. Give a(x(k)).", "a": "-49*k" }, { "q": "Let f(w) = 25*w + 4. Let r(z) = -30*z - 6. Let u(i) = -3*f(i) - 2*r(i). Let n(y) = y**2. What is n(u(k))?", "a": "225*k**2" }, { "q": "Let z(y) = -5*y**2. Let w(j) = 1051084*j. What is w(z(g))?", "a": "-5255420*g**2" }, { "q": "Let v(x) be the second derivative of x**3/6 - x. Let l(u) = u**3 - 15*u**2 + 15*u + 19. Let r be l(14). Let a(i) = -r*i**2 - 75*i + 75*i. What is v(a(q))?", "a": "-33*q**2" }, { "q": "Let h(p) = 2*p**2. Let t(q) = -522 + 1032 - 522 - 2*q. Determine t(h(w)).", "a": "-4*w**2 - 12" }, { "q": "Let j(o) be the second derivative of 2*o**4/3 + 5*o**2 - 324*o. Let r(f) = -7*f**2. Give r(j(z)).", "a": "-448*z**4 - 1120*z**2 - 700" }, { "q": "Let c(v) = -2*v - 301236. Let j(q) = 4*q. Calculate c(j(o)).", "a": "-8*o - 301236" }, { "q": "Let q(c) be the third derivative of -139*c**5/60 - c**4/8 + 937*c**2. Let s(j) = -3*j. Calculate s(q(n)).", "a": "417*n**2 + 9*n" }, { "q": "Let b(v) = -3*v. Let o(h) = -830544*h. Determine o(b(w)).", "a": "2491632*w" }, { "q": "Let x(w) = 33*w - 5. Let j(b) = 364*b - 56. Let i(m) = 5*j(m) - 56*x(m). Let a(l) be the third derivative of -l**5/30 + 20*l**2. What is a(i(r))?", "a": "-1568*r**2" }, { "q": "Let o(m) be the second derivative of m**3/3 - 2*m. Let r(f) = -2*f. Suppose -88 = -3*k - 22. Let x(h) = -7*h. Let w(v) = k*r(v) - 6*x(v). Calculate o(w(q)).", "a": "-4*q" }, { "q": "Let j(w) = 653503*w. Let s(a) = -20*a. Determine s(j(v)).", "a": "-13070060*v" }, { "q": "Let s(v) = 9*v**2. Let u(b) = -88036*b. Determine s(u(f)).", "a": "69753035664*f**2" }, { "q": "Let m(s) = 552781*s. Let k(n) = 4*n. Give m(k(o)).", "a": "2211124*o" }, { "q": "Let x(s) = -2*s**2 - 3*s. Let m(a) = a**2 + a. Let b(k) = -3*m(k) - x(k). Let c(p) = 0 + 108*p**2 - 92*p**2 + 100*p**2 + 0. Give c(b(t)).", "a": "116*t**4" }, { "q": "Let u(q) = -q. Let o(y) = -38716025*y**2. What is u(o(f))?", "a": "38716025*f**2" }, { "q": "Let o(h) = 38*h**2. Let y(c) = 74470*c**2. Give o(y(n)).", "a": "210739674200*n**4" }, { "q": "Let s(k) = -39*k - 23 + 13 + 11 - 15*k - 38*k. Let u(a) = 2*a. What is s(u(x))?", "a": "-184*x + 1" }, { "q": "Let l(w) be the second derivative of 11*w**6/60 + 26*w**3/3 - 58*w. Let c(f) be the second derivative of l(f). Let m(d) = -2*d**2. Calculate m(c(v)).", "a": "-8712*v**4" }, { "q": "Let s(n) = -10*n. Let w(a) be the first derivative of 11*a**2/2 - 6*a + 1409. Give s(w(v)).", "a": "-110*v + 60" }, { "q": "Let b(k) be the second derivative of k**4/4 + k. Let u be 24/13 + (-8)/(-52). Let r(o) = -10*o**2 + 13*o**2 - 5*o**u - 7*o**2. Give r(b(v)).", "a": "-81*v**4" }, { "q": "Let n(q) = -2*q**2. Let t(p) = 534 - 3191*p**2 - 3182*p**2 + 6377*p**2. Determine t(n(b)).", "a": "16*b**4 + 534" }, { "q": "Let h(r) = 4*r + 3. Let x(w) = 15*w + 9. Let b(f) = 3*h(f) - x(f). Let n(y) = -84*y + 2. What is b(n(i))?", "a": "252*i - 6" }, { "q": "Let b(k) be the second derivative of 37*k**4/6 + 4*k. Let v(p) = 11*p + 10. Let n(z) = -7*z - 6. Let x(d) = -5*n(d) - 3*v(d). Determine x(b(r)).", "a": "148*r**2" }, { "q": "Let o(z) = z**2. Let c(k) = -k + 13. Suppose 0 = -5*l - 20 + 5. Let i(p) = 2*p - 11. Let f(u) = l*i(u) - 2*c(u). Calculate f(o(d)).", "a": "-4*d**2 + 7" }, { "q": "Let t(h) = -460*h + 1. Let s(j) = 15272*j. Give s(t(y)).", "a": "-7025120*y + 15272" }, { "q": "Let d(h) = 24*h**2 + 5*h - 10. Let m(k) = -10*k**2 - 2*k + 4. Let v(a) = 4*d(a) + 10*m(a). Let j(u) = u**2 - 58*u. Determine j(v(r)).", "a": "16*r**4 + 232*r**2" }, { "q": "Let f(w) = -2*w**2. Let c(z) = -4700341*z**2 + 2*z. Determine c(f(u)).", "a": "-18801364*u**4 - 4*u**2" }, { "q": "Let d(v) = 2*v - 435013. Let h(u) = -5*u. What is d(h(y))?", "a": "-10*y - 435013" }, { "q": "Let h(y) = 10 - 10 - 2*y**2. Let j(w) = -4*w**2 + 15 + 65 - 87. Give j(h(a)).", "a": "-16*a**4 - 7" }, { "q": "Let p(a) = a + 7. Let j(w) = -51702*w. What is p(j(m))?", "a": "-51702*m + 7" }, { "q": "Let d(t) = 250*t + 1. Let w(s) = -s + 9. Let k(l) = 3*l - 18. Let x(c) = 3*k(c) + 6*w(c). What is d(x(i))?", "a": "750*i + 1" }, { "q": "Let j(s) = 3*s. Let h(t) = -2083044*t**2 + 1. Give h(j(k)).", "a": "-18747396*k**2 + 1" }, { "q": "Let p(j) = -207665*j. Let o(l) = 87*l**2. What is o(p(m))?", "a": "3751853443575*m**2" }, { "q": "Let f(v) = 21042*v. Let a(h) = -2*h**2 - 568. Give a(f(z)).", "a": "-885531528*z**2 - 568" }, { "q": "Let m(t) = 2*t + 22. Let h(j) be the first derivative of -3*j**2/2 - 540. Calculate m(h(q)).", "a": "-6*q + 22" }, { "q": "Let n(t) be the second derivative of -17*t**4/12 - 219*t. Let y(m) = 2*m + 96. Calculate n(y(x)).", "a": "-68*x**2 - 6528*x - 156672" }, { "q": "Let i(o) = -404*o**2 - o. Let t(n) = -6415*n. Determine i(t(u)).", "a": "-16625498900*u**2 + 6415*u" }, { "q": "Let g(n) = -31*n - 1. Let f(b) = -316*b - 10. Let l(t) = f(t) - 10*g(t). Let x(c) = -217*c. Determine x(l(r)).", "a": "1302*r" }, { "q": "Let p(h) = -2*h. Let y(v) = v - 9. Let n be y(11). Suppose -1 = 6*i - 13. Let k(o) = -o**i + 6*o**n - 2*o**2. Give p(k(b)).", "a": "-6*b**2" }, { "q": "Let t(u) = 1483*u - 789*u + 91*u**2 - 694*u. Let v(p) = 0 + 0 + 2*p**2. Calculate v(t(y)).", "a": "16562*y**4" }, { "q": "Let q(r) = -3*r + 6564309. Let y(j) = 2*j. Calculate y(q(x)).", "a": "-6*x + 13128618" }, { "q": "Let o(l) = -5*l**2 + 6*l - 3. Let k(m) = -16*m**2 + 20*m - 10. Let i = -192 + 202. Let a(c) = i*o(c) - 3*k(c). Let n(x) = -6*x. What is n(a(z))?", "a": "12*z**2" }, { "q": "Let o(k) = 6*k. Let j(h) = -3759*h**2 - 2*h - 1. Calculate j(o(v)).", "a": "-135324*v**2 - 12*v - 1" }, { "q": "Let v(o) = 4*o. Let x(i) = 417*i**2 - 8*i - 190. Give v(x(d)).", "a": "1668*d**2 - 32*d - 760" }, { "q": "Let i(w) = 4924768*w. Let x(n) = -n**2. What is i(x(k))?", "a": "-4924768*k**2" }, { "q": "Let y be -72*(-198)/(-12)*(-4)/9. Let d(b) = 0 + y*b - 529*b + 0. Let u(n) = 28*n**2. Determine u(d(t)).", "a": "28*t**2" }, { "q": "Let m(p) = -3*p**2. Let r(h) = 5862178*h**2. Give r(m(o)).", "a": "52759602*o**4" }, { "q": "Let l(s) = 32*s + 2. Let x(q) = -38*q - 2. Let m(g) = 6*l(g) + 5*x(g). Let v(a) = 13*a. What is m(v(u))?", "a": "26*u + 2" }, { "q": "Let z(j) be the first derivative of j**2 - 116. Let t(f) = 40*f**2. Let b(y) = -8*y**2. Let u be 2*-3 - (-4 - -1). Let m(s) = u*t(s) - 16*b(s). Give m(z(r)).", "a": "32*r**2" }, { "q": "Let l(a) = 11 - 15 + 5*a + 10 - 6. Let v(y) = 18*y. Let m(j) = -9*j. Let c(p) = 5*m(p) + 2*v(p). Calculate l(c(q)).", "a": "-45*q" }, { "q": "Let g(w) = 3*w**2 + 303*w. Let o(i) be the third derivative of i**4/12 - i**2 + 411*i. Give o(g(b)).", "a": "6*b**2 + 606*b" }, { "q": "Let n(i) be the third derivative of 0*i + 0*i**4 + 0 + 0*i**3 + 1/60*i**5 - 51*i**2. Let u(q) = 3*q**2 + 5*q. Calculate n(u(d)).", "a": "9*d**4 + 30*d**3 + 25*d**2" }, { "q": "Let i(x) be the third derivative of x**6/360 + 16*x**3/3 + 50*x**2. Let w(b) be the first derivative of i(b). Let z(s) = 5*s. What is z(w(n))?", "a": "5*n**2" }, { "q": "Let w(r) = 32*r. Suppose 4*d - 6 = 10, -2*l - 2*d = -6. Let u(a) = -2*a + 1. Let m be u(l). Let j(k) = -38*k**2 - 3*k + m*k + 37*k**2. Determine j(w(q)).", "a": "-1024*q**2" }, { "q": "Let k(f) = 593*f**2 - 1 + 0 + 1 - 594*f**2. Let h(x) = -1362*x**2 - 3. Calculate k(h(o)).", "a": "-1855044*o**4 - 8172*o**2 - 9" }, { "q": "Let y(s) = -488 - 985 - 1036 + 730 - 5*s + 4*s. Let n(g) = g. Determine y(n(q)).", "a": "-q - 1779" }, { "q": "Let l(w) = -4796*w**2 + 4790*w**2 - 11 + 3. Let q(f) = 2*f**2. Give q(l(o)).", "a": "72*o**4 + 192*o**2 + 128" }, { "q": "Let c(k) be the second derivative of -k**6/240 - k**4/6 - 3*k**2/2 + 17*k. Let d(y) be the third derivative of c(y). Let o(z) = -4*z**2. Give o(d(g)).", "a": "-36*g**2" }, { "q": "Let y(m) = 2*m**2 - 5*m + 5. Let w be y(3). Let o(z) = w*z + 3*z - 6*z - 6*z. Let k(i) = -3*i**2 - 9. Let c(a) = 1. Let d(p) = 9*c(p) + k(p). What is o(d(s))?", "a": "3*s**2" }, { "q": "Let k(d) = 1984*d**2 - 1811*d**2 - 3*d + 4*d. Let n(j) = -2*j. Calculate n(k(u)).", "a": "-346*u**2 - 2*u" }, { "q": "Let r(q) = -4*q**2 + 16*q**2 - 9*q**2. Let j = -68 - -67. Let p(x) = -x + 1. Let w(a) = -a**2 + a - 1. Let y(n) = j*p(n) - w(n). Determine y(r(o)).", "a": "9*o**4" }, { "q": "Let c(y) = -142*y - 120. Let i(m) = 56*m. Give c(i(v)).", "a": "-7952*v - 120" }, { "q": "Let s(k) = 3*k**2. Let a(c) be the second derivative of -21 + 3*c + 0*c**2 - 11/6*c**3. Give s(a(v)).", "a": "363*v**2" }, { "q": "Let b(x) = x**2. Suppose 12*y - 4*y = 4*y + 7*y. Let d(t) be the second derivative of y + 0*t**3 - 23/12*t**4 + 0*t**2 - 13*t. Calculate d(b(c)).", "a": "-23*c**4" }, { "q": "Let g(s) = 3 + 0 - 7 + 10. Suppose -3*k = 4*k - 357. Let u(v) = -v - 51. Let r(a) = k*g(a) + 6*u(a). Let y(d) = -d. What is y(r(w))?", "a": "6*w" }, { "q": "Let u(i) be the second derivative of -1/2*i**3 + 0 + 0*i**2 - 51*i. Let y(w) = 5*w**2. Determine y(u(h)).", "a": "45*h**2" }, { "q": "Let y(n) be the third derivative of -n**4/8 + 16*n**2 - n - 58. Suppose -z = -4 + 2. Let l(i) = -i + i + z*i. Calculate l(y(g)).", "a": "-6*g" }, { "q": "Let b(g) = 107295*g - 12. Let d(u) = 3*u**2. Give b(d(h)).", "a": "321885*h**2 - 12" }, { "q": "Let a(j) = 6244*j**2 + 13*j + 2. Let d(w) = -19*w**2. What is a(d(h))?", "a": "2254084*h**4 - 247*h**2 + 2" }, { "q": "Let x(h) = -156*h**2 - 10*h - 42. Let y(q) = -5*q. Determine y(x(r)).", "a": "780*r**2 + 50*r + 210" }, { "q": "Let t(x) = 71*x. Let g(c) = -128*c. Let v(m) = 10*g(m) + 18*t(m). Let q(o) = -1. Let d(a) = 30*a + 150. Let i(j) = -d(j) - 150*q(j). Calculate v(i(p)).", "a": "60*p" }, { "q": "Let h(y) = 24508 - 24508 - y**2. Let q(j) = 1366*j. What is q(h(n))?", "a": "-1366*n**2" }, { "q": "Let u(p) = -86*p + 8. Let a(y) = -170*y + 18. Let m(h) = -4*a(h) + 9*u(h). Let g(q) = -6*q**2. Give m(g(d)).", "a": "564*d**2" }, { "q": "Let c(f) = -2*f**2. Let z(q) = -18*q + 26*q - 11 + 65*q**2 - 22*q**2 + 11. What is z(c(j))?", "a": "172*j**4 - 16*j**2" }, { "q": "Let i(z) = -2709423*z + 4. Let t(u) = -u. Calculate i(t(f)).", "a": "2709423*f + 4" }, { "q": "Let h(y) = 3*y. Let w(i) = 3*i. Let c(n) = n**2 - 9*n + 25. Let o be c(5). Let r(j) = o*h(j) - 6*w(j). Let g(l) = -12*l. Calculate r(g(s)).", "a": "36*s" }, { "q": "Let k(p) = -p + 15. Let a(z) be the first derivative of 5*z**2 + 1304. What is a(k(f))?", "a": "-10*f + 150" }, { "q": "Let r(u) = 94*u. Let m(o) be the first derivative of -o**3/3 + 1361. What is r(m(a))?", "a": "-94*a**2" }, { "q": "Let o(a) = 2*a + 6. Suppose 0*i = i + 4*j + 3, -12 = 4*i + j. Let f(q) = -3*q - 8. Let k(l) = i*f(l) - 4*o(l). Let x(m) = -38*m. Determine x(k(p)).", "a": "-38*p" }, { "q": "Let b(w) = 14*w**2 - 6*w. Let r(p) = -28*p**2 + 13*p. Let j(u) = -13*b(u) - 6*r(u). Let s = 507 + -466. Let c(l) = -93*l + s*l + 53*l. Calculate c(j(g)).", "a": "-14*g**2" }, { "q": "Let l(j) be the third derivative of 23*j**4/8 - j**2 + 588*j. Let h(k) = -6*k. Calculate l(h(a)).", "a": "-414*a" }, { "q": "Let t(d) = -21*d**2 + 4*d - 12. Let o(p) = -64*p**2 + 11*p - 33. Let v(b) = -4*o(b) + 11*t(b). Let z(i) = -10*i. Give z(v(k)).", "a": "-250*k**2" }, { "q": "Let k(v) = -80*v + 2. Let b(m) = -4*m**2 - 39*m - 7. What is b(k(o))?", "a": "-25600*o**2 + 4400*o - 101" }, { "q": "Suppose 0 = -8*y + 207 + 225. Let o(n) = y*n - 33*n - 35*n. Let c(r) = -6*r. What is o(c(x))?", "a": "84*x" }, { "q": "Suppose -15 = 8*a - 13*a. Let v(l) = a*l**2 - 5*l**2 + 26*l**2. Let f(s) = 3*s. Give v(f(k)).", "a": "216*k**2" }, { "q": "Let b(n) = 10*n. Let p(s) = 38780*s**2 - 2*s - 2. Give b(p(a)).", "a": "387800*a**2 - 20*a - 20" }, { "q": "Let w(q) = 2 - 2 - 1 - 4 - 2 - 2*q. Let m(f) = -5*f**2 + 4*f**2 + 1 - 1. Determine w(m(l)).", "a": "2*l**2 - 7" }, { "q": "Let k(l) = 12*l - 17. Let d(t) = -2138*t**2. Give k(d(c)).", "a": "-25656*c**2 - 17" }, { "q": "Let i(k) = 4695606*k**2. Let v(l) = -l**2. Give i(v(g)).", "a": "4695606*g**4" }, { "q": "Let h(v) = -5063*v**2 + 16*v. Let q(g) = 3*g**2. Give h(q(f)).", "a": "-45567*f**4 + 48*f**2" }, { "q": "Let k(y) = -1897*y**2. Let l(z) = 90 + 91 - 263 - 2*z + 82. Calculate l(k(p)).", "a": "3794*p**2" }, { "q": "Let u(d) = -9*d. Let l(y) = -188 + 391 + 50*y**2 - 202. What is l(u(n))?", "a": "4050*n**2 + 1" }, { "q": "Let z(v) be the second derivative of -37*v**5/60 - 63*v**2/2 - 11*v. Let c(l) be the first derivative of z(l). Let f(w) = 2*w**2. Determine c(f(m)).", "a": "-148*m**4" }, { "q": "Let t(d) be the third derivative of d**5/30 - 15*d**2. Let g(u) be the second derivative of 17*u**4/4 + u**2 - u - 92. Determine g(t(m)).", "a": "204*m**4 + 2" }, { "q": "Let l(q) = -59*q + 11. Let k(i) = -57*i + 10. Let j(r) = 9*k(r) - 8*l(r). Let u(x) = 21*x**2. What is u(j(f))?", "a": "35301*f**2 - 3444*f + 84" }, { "q": "Let f(c) be the third derivative of -c**4/4 - 110*c**2 - 4*c. Let y(v) = -31*v**2 - 4. Determine f(y(n)).", "a": "186*n**2 + 24" }, { "q": "Suppose 0 = -5*o - 2*r + 48, r = 4*o + o - 51. Let d(g) = 5*g + o - 10. Let h(q) be the third derivative of -q**4/8 + 509*q**2. Give h(d(p)).", "a": "-15*p" }, { "q": "Let i(y) = 1 + 0 + 4*y - 4 + 4*y. Let u(x) = 31*x**2 + 14*x + 7. Let s(q) = -9*q**2 - 4*q - 2. Let m(r) = 7*s(r) + 2*u(r). Calculate m(i(a)).", "a": "-64*a**2 + 48*a - 9" }, { "q": "Let k(o) = -2*o + 5*o + o. Let l(u) be the first derivative of 13*u**2 - 141 - 16*u**2 + 161. Calculate k(l(y)).", "a": "-24*y" }, { "q": "Let c(j) = -431*j**2 - 351*j - 348*j - 357*j + 1056*j. Let t(x) = -2*x. What is c(t(m))?", "a": "-1724*m**2" }, { "q": "Let t(c) be the second derivative of c**4/12 + 1088*c. Let z(y) = 2*y**2 - 480. Determine t(z(j)).", "a": "4*j**4 - 1920*j**2 + 230400" }, { "q": "Let v(d) = -9*d**2. Let p(h) = -h**2 - 4*h + 4. Let z(n) = n**2 + 3*n - 3. Let g(s) = 3*p(s) + 4*z(s). Calculate v(g(x)).", "a": "-9*x**4" }, { "q": "Let q(d) = -2820*d. Let u(k) = -109*k**2 + k + 7. Calculate q(u(z)).", "a": "307380*z**2 - 2820*z - 19740" }, { "q": "Let r(b) = 3*b + 2. Let z(q) = -11*q - 7. Let j(a) = -7*r(a) - 2*z(a). Let i(v) = -v. Let u(k) = -10*k. Let l(p) = 4*i(p) + 2*u(p). Give l(j(f)).", "a": "-24*f" }, { "q": "Let u(q) be the third derivative of -837*q**4/8 + 1200*q**2. Let t(v) = -v. What is u(t(r))?", "a": "2511*r" }, { "q": "Let t(a) = -15*a**2. Let z(b) = -56*b + 305 - 305 + 56*b + 50*b**2. Give z(t(q)).", "a": "11250*q**4" }, { "q": "Let j(o) = 67*o + 73. Let q(i) = -87*i - 97. Let v(d) = 13*j(d) + 10*q(d). Let k(p) = 3*p**2. Determine k(v(u)).", "a": "3*u**2 - 126*u + 1323" }, { "q": "Let r(y) = 118 - 14 - 104 - 387*y. Let x(j) = -2*j. Calculate x(r(k)).", "a": "774*k" }, { "q": "Let g(v) = -2*v. Let w(h) = -58*h**3 + 4*h**2 + h. Let u be w(-1). Let n(r) = -7 - 16 + 23 - u*r. Calculate n(g(m)).", "a": "122*m" }, { "q": "Let g(q) = 2*q**2. Let k(n) = n**3 + 5*n**2 - 4*n + 14. Let v be k(-6). Let a be 5 - (v/7 + 6/(-21)). Let p(u) = -4*u + 2*u + a*u. Calculate p(g(l)).", "a": "6*l**2" }, { "q": "Let t(f) = -3*f**2. Let r(k) = -30*k - 4. Suppose 6*g - 14 - 4 = 0. Let m(l) = 2*l + 1. Let b(d) = g*m(d) + r(d). Determine b(t(i)).", "a": "72*i**2 - 1" }, { "q": "Let n(m) = 3*m. Let i(x) = -5872415*x**2. Determine i(n(d)).", "a": "-52851735*d**2" }, { "q": "Let j(h) = 2*h - 1. Let k(g) = -24*g + 15. Let q(t) = -15*j(t) - k(t). Let r(u) = -5*u. Let p(f) = 4*q(f) - 5*r(f). Let n(x) = -2*x**2. What is p(n(b))?", "a": "-2*b**2" }, { "q": "Let k(s) = 2*s - 128. Let a(d) = -10*d - 3. Let c(f) = 6*f + 3. Let t(m) = -a(m) - c(m). What is t(k(q))?", "a": "8*q - 512" }, { "q": "Let s(g) = 20*g. Let w be 2/(-14) - (-912)/14. Let x(y) = w*y - 65*y - 2*y**2 + 5*y**2. What is x(s(a))?", "a": "1200*a**2" }, { "q": "Let r(i) be the first derivative of -13*i**5/60 - i**2 + 53*i - 4. Let z(g) be the second derivative of r(g). Let p(w) = 6*w. Determine z(p(s)).", "a": "-468*s**2" }, { "q": "Let w(f) = -37061*f. Let l(b) = -97*b - 1. Calculate l(w(d)).", "a": "3594917*d - 1" }, { "q": "Let g(q) = q. Let h(s) = -s**2 + 405140*s - 6. Calculate g(h(d)).", "a": "-d**2 + 405140*d - 6" }, { "q": "Let m(g) = -9*g**2. Let x = -19 + 19. Suppose x = -17*l + 15*l - 14. Let n(f) = -3*f - 7. Let p(q) = q + 2. Let w(r) = l*p(r) - 2*n(r). Give w(m(i)).", "a": "9*i**2" }, { "q": "Let p(m) be the second derivative of m**4/12 + 1375*m. Let u(r) = 2*r**2 - 103. What is u(p(c))?", "a": "2*c**4 - 103" }, { "q": "Let s(i) = -2*i. Let c(q) = -28096788*q. What is c(s(w))?", "a": "56193576*w" }, { "q": "Let j(r) be the first derivative of 65*r**3/3 - 492. Let v(w) = 3*w**2. Calculate v(j(z)).", "a": "12675*z**4" }, { "q": "Let d(w) = w**2 - 13*w + 1. Let a(x) = -20*x**2 - 156*x + 12. Let p(n) = -a(n) + 12*d(n). Let i(s) = -s. Give p(i(r)).", "a": "32*r**2" }, { "q": "Let o(d) = -d**2. Let k(p) = 2*p**2 - 12*p + 142. Give k(o(t)).", "a": "2*t**4 + 12*t**2 + 142" }, { "q": "Let g(u) = 810*u**2 + 3*u. Let o(f) = -2500*f. Calculate o(g(b)).", "a": "-2025000*b**2 - 7500*b" }, { "q": "Let x(l) = 14*l**2 - 2023*l. Let y(t) = -114*t. Calculate y(x(d)).", "a": "-1596*d**2 + 230622*d" }, { "q": "Let i(c) = 4*c. Let w(b) = -7*b. Let y(m) = -7*i(m) - 3*w(m). Let q(g) = 4*g**2 + 6. Let o(v) = v**2 + 1. Let f(p) = 12*o(p) - 2*q(p). What is f(y(z))?", "a": "196*z**2" }, { "q": "Let h(m) = 2349*m. Let z(j) = 2*j**2 - 588*j. Give h(z(t)).", "a": "4698*t**2 - 1381212*t" }, { "q": "Let v(q) = 78 + 76 + 2*q - 150. Let a(j) = 10*j. Determine a(v(t)).", "a": "20*t + 40" }, { "q": "Let x(b) = -2*b**2. Suppose -106*f + 62*f = 0. Let j(o) be the second derivative of 0*o**3 + 1/6*o**4 + 0*o**2 + f + 16*o. Give x(j(c)).", "a": "-8*c**4" }, { "q": "Let r(d) = -102*d**2. Suppose 4*y - 6257 = -4*k - 1233, 5033 = 4*y - 5*k. Let p(x) = -y + 1257 + 2*x. Calculate r(p(m)).", "a": "-408*m**2" }, { "q": "Let q(u) = -2*u + 5. Let a(s) = -38705*s**2. Give q(a(o)).", "a": "77410*o**2 + 5" }, { "q": "Let g(j) = 76*j. Let i(o) be the first derivative of -15*o**2/2 - 442. Determine g(i(w)).", "a": "-1140*w" }, { "q": "Let r(b) be the second derivative of 187*b**4/4 - b**2 - 589*b. Let n(v) = v**2. Give r(n(x)).", "a": "561*x**4 - 2" }, { "q": "Suppose -2*k + 3*q + 3 = 0, 0*q - 5*q = 5. Let y(c) = 3*c + k*c - c. Let j(m) = 3636*m - 1806*m - 1802*m. Determine y(j(b)).", "a": "56*b" }, { "q": "Let q(o) = 13407 - 13407 + 2*o**2 - 5*o**2. Let i(s) be the first derivative of 19*s**3/3 - 1. Determine i(q(a)).", "a": "171*a**4" }, { "q": "Let u(j) = 21*j. Let c(o) = 2*o - 32308. Give u(c(s)).", "a": "42*s - 678468" }, { "q": "Let p(s) = -s - s + 0*s. Let j(x) = 21*x. Let d(g) = -171*g. Let b(a) = -2*a**2 - 20*a + 15. Let q be b(-12). Let k(v) = q*j(v) - 4*d(v). Calculate p(k(u)).", "a": "18*u" }, { "q": "Let s(c) be the second derivative of 0*c**2 + 0 + 4/3*c**3 + 3*c. Let n(o) = 6*o. Determine n(s(m)).", "a": "48*m" }, { "q": "Suppose 5*c - c + 12 = -5*k, 28 = 4*c - 5*k. Let u(j) = -3*j**2 - 10*j**c + 0*j**2 + 12*j**2. Let q(v) = 2*v - 16*v - 11*v - 4*v. What is u(q(z))?", "a": "-841*z**2" }, { "q": "Let z(i) = -i. Let j(r) = 2*r**2 - 3*r + 1. Let x(u) = 13*u**2 + 886*u + 6. Let c(m) = 6*j(m) - x(m). Calculate z(c(n)).", "a": "n**2 + 904*n" }, { "q": "Let r(n) = n - 909 + 1789 - 880. Let x = 2 + -1. Let c(f) = -20*f**2. Let a(p) = p**2. Let u(g) = x*c(g) + 12*a(g). What is u(r(t))?", "a": "-8*t**2" }, { "q": "Let s be 5/(0 + 1)*1. Let f(a) = s + 4*a**2 - 5. Let t(l) = 399*l - 15. Let u(x) = -240*x + 9. Let o(w) = 3*t(w) + 5*u(w). Calculate f(o(p)).", "a": "36*p**2" }, { "q": "Let w(f) = -294 + 184*f - 402 + 695. Let j(s) = 4*s. Give j(w(z)).", "a": "736*z - 4" }, { "q": "Let p(i) = 2*i**2 + 2*i + 11925. Let d(s) = -13*s. Give p(d(j)).", "a": "338*j**2 - 26*j + 11925" }, { "q": "Let t(b) = -4*b. Suppose -24*s = -32*s + 112. Let q(h) = 4*h - 2*h + 14*h + s*h. Give q(t(p)).", "a": "-120*p" }, { "q": "Let x(r) = 4*r. Let b(g) = 65*g**2 - 18*g. Let j(l) = 65*l**2 - 12*l. Let q(p) = 2*b(p) - 3*j(p). Determine q(x(w)).", "a": "-1040*w**2" }, { "q": "Let f(a) = 2*a. Let t(h) = 4*h**2 + 2642 + h - 3*h**2 - 2644. Let p(r) = 34*r**2 + 17*r - 34. Let s(m) = -p(m) + 17*t(m). What is s(f(x))?", "a": "-68*x**2" }, { "q": "Let n(r) = 2*r. Let d = 120 - 118. Suppose -10 = -5*x - 0*x. Let o(a) = -4*a + d - x. Determine o(n(m)).", "a": "-8*m" }, { "q": "Let b(p) = 18658847*p. Let m(r) = 2*r. Calculate m(b(a)).", "a": "37317694*a" }, { "q": "Let l(j) = -12*j**2. Let f(c) = -1214593*c. Calculate f(l(g)).", "a": "14575116*g**2" }, { "q": "Let t(j) = 1320*j + 5. Let y(p) = 117*p**2. Calculate t(y(a)).", "a": "154440*a**2 + 5" }, { "q": "Let s(w) = 2*w**2 - 43. Suppose -t - 89 = -3*l, 4*t = -2*l + l + 8. Let m(b) = -l*b - 25*b + 52*b. What is s(m(v))?", "a": "2*v**2 - 43" }, { "q": "Let t(u) = -4*u + 3. Let k(d) = -45*d + 27. Let q(w) = 2*k(w) - 18*t(w). Let s(c) = -97*c. Determine q(s(r)).", "a": "1746*r" }, { "q": "Let v(d) = 70862*d. Let n(m) = 4*m**2 - 27*m. Give n(v(w)).", "a": "20085692176*w**2 - 1913274*w" }, { "q": "Let m(c) = 5*c - 11. Let i be m(6). Let r(s) = -i*s**2 + 41*s**2 - 21*s**2. Let b(q) = 11*q + 5. Let d(v) = v + 1. Let x(a) = b(a) - 5*d(a). Determine r(x(g)).", "a": "36*g**2" }, { "q": "Let y(f) = -f**2. Let d(z) be the second derivative of -55*z + 0 + 25/6*z**3 + 3/2*z**2. Calculate d(y(p)).", "a": "-25*p**2 + 3" }, { "q": "Let x(v) be the first derivative of 11 - 3*v - 5/2*v**2. Let s(m) = -5*m - 2. Let t(y) = 3*s(y) - 2*x(y). Let b(u) = 2*u**2. Determine t(b(o)).", "a": "-10*o**2" }, { "q": "Let d(c) = -1234 - 46*c + 46*c + 1242 - 39*c**2. Let u(m) = 4*m. Give u(d(z)).", "a": "-156*z**2 + 32" }, { "q": "Let b(q) = -3*q**2 - 20105*q + 20105*q. Let v(a) = -333*a. Give b(v(w)).", "a": "-332667*w**2" }, { "q": "Let u(x) = -11*x**2 + 5*x. Let w(f) = 273251*f. What is w(u(o))?", "a": "-3005761*o**2 + 1366255*o" }, { "q": "Let n(s) = 6*s + 1. Let g(b) be the second derivative of -b**5/40 - 23*b**3/6 - b**2/2 - 2*b - 10. Let k(v) be the second derivative of g(v). Determine n(k(q)).", "a": "-18*q + 1" }, { "q": "Let d(b) = 3*b. Let c(h) be the second derivative of h**6/8 - h**4/24 - 13*h**3/3 - 25*h. Let n(s) be the second derivative of c(s). Determine n(d(f)).", "a": "405*f**2 - 1" }, { "q": "Let k(w) = -283931*w. Let d(o) = o**2. Calculate k(d(f)).", "a": "-283931*f**2" }, { "q": "Let t(y) = 3. Let o(n) = n**2 + 2. Let h(w) = 3*o(w) - 2*t(w). Let a(v) = -9*v - 24. Let g(l) = l + 2. Let u(x) = a(x) + 12*g(x). Determine h(u(m)).", "a": "27*m**2" }, { "q": "Let j(d) be the second derivative of -19*d**3/2 + 3*d. Let m(t) = 3*t + 8*t - 13*t + t. Determine j(m(h)).", "a": "57*h" }, { "q": "Let j(s) = -2*s - s + 13*s - 2*s - 6*s. Let o(p) = -2*p**2 + 8*p. Calculate o(j(h)).", "a": "-8*h**2 + 16*h" }, { "q": "Let t(g) be the third derivative of -7*g**4/24 - g**2 + 25*g. Let l(d) be the first derivative of 0 - 6*d**2 + 4*d**2 + 3 - 2. Give t(l(c)).", "a": "28*c" }, { "q": "Let i(w) = -1331611*w - 20*w**2 + 1331611*w. Let u(g) = -3*g. Let q(p) = -9*p. Let v(l) = -2*q(l) + 7*u(l). Calculate i(v(t)).", "a": "-180*t**2" }, { "q": "Let k(a) = -43*a**2 + 3 - 2 - 1 + 45*a**2. Let y(d) be the third derivative of -19*d**4/12 + 4*d**2. Determine y(k(x)).", "a": "-76*x**2" }, { "q": "Let z(k) be the second derivative of 197*k**4/3 - 2*k**3/3 - 1343*k. Let v(l) = l. Give v(z(t)).", "a": "788*t**2 - 4*t" }, { "q": "Let o(w) be the first derivative of -2*w**3 - 449. Let b(x) = 33*x**2 + 11*x - 11. Let n(a) = 11*a**2 + 4*a - 4. Let m(f) = 4*b(f) - 11*n(f). Calculate o(m(h)).", "a": "-726*h**4" }, { "q": "Let a(m) = -449*m**2. Let r(i) = 10444*i. What is r(a(x))?", "a": "-4689356*x**2" }, { "q": "Let w(s) = 7*s. Let p(a) = -15*a - 15. Let v(r) = 16*r + 20. Let j(q) = 4*p(q) + 3*v(q). Determine j(w(b)).", "a": "-84*b" }, { "q": "Let s(o) = -o**2 - 192. Let f(w) = w + 17570. Give f(s(z)).", "a": "-z**2 + 17378" }, { "q": "Let r(q) be the second derivative of -23*q**3/6 + 8*q. Let o = -13 + 15. Let d(z) = -2*z**o + 9*z**2 - 8*z**2. What is d(r(j))?", "a": "-529*j**2" }, { "q": "Let k(b) = 19730710*b. Let u(r) = -r**2. What is u(k(x))?", "a": "-389300917104100*x**2" }, { "q": "Let t(u) = -u**2 - 114. Let r(b) = 2137*b. Calculate r(t(f)).", "a": "-2137*f**2 - 243618" }, { "q": "Let g(y) = 17*y**2. Let x(q) = -12*q + 14*q + 3*q + 45*q. What is x(g(d))?", "a": "850*d**2" }, { "q": "Let q(o) = -2*o. Let s be (-3)/7 + (-438)/(-42). Let g(t) = s*t - 17*t - 4*t + 5. What is q(g(x))?", "a": "22*x - 10" }, { "q": "Let h(w) = 37*w**2. Let t(a) = 27323*a + 8. Calculate t(h(y)).", "a": "1010951*y**2 + 8" }, { "q": "Let w(f) = -f - 2887791. Let y(p) = -3*p. Give y(w(i)).", "a": "3*i + 8663373" }, { "q": "Let f(d) = -d**2 - 7*d. Let u be 1290/(-45)*(2/4 - 2). Let n(z) = 42*z**2 + 1 - u*z**2 - 1. What is f(n(c))?", "a": "-c**4 + 7*c**2" }, { "q": "Let n(b) = b**2 - b + 2317. Let y be n(0). Let d(j) = -13*j**2 + y - 2317. Let k(o) be the second derivative of o**4/4 + 5*o. Give k(d(l)).", "a": "507*l**4" }, { "q": "Let v(i) be the second derivative of i**6/720 - 5*i**4/12 - 5*i. Let k(b) be the third derivative of v(b). Let r(t) = t**2 + 4859*t - 4859*t. What is k(r(l))?", "a": "l**2" }, { "q": "Let k(q) = -5*q**2. Let l(y) = -2*y**2 + 4*y + 6. Let o be l(3). Let f(b) be the second derivative of -17*b - 1/6*b**3 + 0 + o*b**2. Calculate k(f(s)).", "a": "-5*s**2" }, { "q": "Let c(g) = 4*g. Let u(t) = 89329*t**2 - t. Determine u(c(z)).", "a": "1429264*z**2 - 4*z" }, { "q": "Let h(i) = 2*i**2. Let y(x) = 12*x - 4*x - 4*x**2 - 14*x - 2*x**2 + 4*x. What is h(y(r))?", "a": "72*r**4 + 48*r**3 + 8*r**2" }, { "q": "Let q(c) = -97*c**2 + 1. Let n(x) = 7*x + x - x - 21*x + 12*x. Give n(q(m)).", "a": "194*m**2 - 2" }, { "q": "Let h(w) = 3*w. Suppose 97 = 6*r - 107. Let v(g) = 5*g - r*g - 25*g + 14*g. What is h(v(l))?", "a": "-120*l" }, { "q": "Let d(o) = 5*o**2 - 50*o + 2. Let m be d(10). Let h(q) = 13*q**m + 3*q**2 - 5*q**2. Let t(n) = -9*n. Calculate t(h(y)).", "a": "-99*y**2" }, { "q": "Let m(p) = 2*p. Let g(q) = -2121856*q**2. Determine m(g(t)).", "a": "-4243712*t**2" }, { "q": "Let b be (-27)/(-12) - 3/(-4). Let h(a) = -6*a**2 - b*a**2 + 282 - 282. Let g(u) = 3*u. Determine g(h(j)).", "a": "-27*j**2" }, { "q": "Let n(m) = -m**2. Let k(x) = -3*x + 6. Let j be k(-10). Let u(a) be the first derivative of j - 8*a**3 - 34 + 0*a**3. Give u(n(o)).", "a": "-24*o**4" }, { "q": "Let w(f) = -54*f - 68. Let x(o) = 8*o + 10. Let j(m) = -15*w(m) - 102*x(m). Let z(t) be the third derivative of t**5/6 - t**2. What is j(z(a))?", "a": "-60*a**2" }, { "q": "Let q(b) = 273*b**2 + 3*b + 2. Let i(h) = -36*h. Calculate i(q(t)).", "a": "-9828*t**2 - 108*t - 72" }, { "q": "Let l(c) = -2*c**2. Let j(f) be the third derivative of 3335*f**4/24 + f**2 + 722*f. Give j(l(h)).", "a": "-6670*h**2" }, { "q": "Let l(t) = -1048641*t. Let b(r) = 4*r. Determine b(l(d)).", "a": "-4194564*d" }, { "q": "Let t(z) = 29*z + 5*z - 11*z. Let n(j) be the first derivative of -j**4/24 + 7*j**2/2 - 40. Let y(k) be the second derivative of n(k). Give t(y(c)).", "a": "-23*c" }, { "q": "Let x(f) = -2*f + 614. Let k(q) = -13264*q. Give k(x(i)).", "a": "26528*i - 8144096" }, { "q": "Let h be ((-284)/(-12))/((-2)/3)*-2. Let u = h + -50. Let v(q) = u*q**2 + 2*q**2 + 2*q**2. Let s(b) = b**2. What is s(v(t))?", "a": "625*t**4" }, { "q": "Let l(q) be the third derivative of q**4/12 - q**3/6 + 1142*q**2. Let v(y) = -y. Calculate l(v(i)).", "a": "-2*i - 1" }, { "q": "Let l(s) = s**2 - s. Let y(i) = -3*i. Let q(t) = 3*l(t) - y(t). Let c(v) be the third derivative of v**2 + 0*v + 1/8*v**4 + 0*v**3 + 0. What is c(q(w))?", "a": "9*w**2" }, { "q": "Let x(f) = 2516914*f**2. Let i(d) = -d**2. What is x(i(o))?", "a": "2516914*o**4" }, { "q": "Suppose 0 = -0*l + 6*l - 54. Let f(z) = z - 4 + l + 3. Let r(s) = 2*s. What is r(f(n))?", "a": "2*n + 16" }, { "q": "Let y(g) be the third derivative of -g**2 - 1/3*g**4 + 11 + 0*g + 0*g**3. Let v(m) = 8*m**2. What is v(y(t))?", "a": "512*t**2" }, { "q": "Let j(o) = -10*o + 1. Let n(m) be the first derivative of 0*m - 2/3*m**3 - 48 + 0*m**2. Calculate n(j(g)).", "a": "-200*g**2 + 40*g - 2" }, { "q": "Let p(l) = 4411*l**2. Let a(f) = -2288*f**2. Determine p(a(w)).", "a": "23091337984*w**4" }, { "q": "Let l(v) = v**2. Let n(o) be the first derivative of 3*o**5/10 + o**2/2 - 13*o - 53. Let g(b) be the second derivative of n(b). Calculate g(l(z)).", "a": "18*z**4" }, { "q": "Let s(u) = u. Let o(q) = -1. Let l(t) = -14*t - 10. Let d(k) = -l(k) + 3*o(k). Let y = -9 + 7. Let f(c) = 5*c + 2. Let w(g) = y*d(g) + 7*f(g). What is w(s(z))?", "a": "7*z" }, { "q": "Let q(z) = 25*z + 24. Let r(a) = -3*a - 3. Let d(m) = q(m) + 8*r(m). Let o(t) = -2*t**2 + 209. Calculate d(o(b)).", "a": "-2*b**2 + 209" }, { "q": "Let n(b) = b. Suppose 2*h = 3*h + 3, 2*r = -2*h + 6. Let o be (1/(-1) - 0)*-6. Let s(a) = o*a + a - r*a. Calculate n(s(g)).", "a": "g" }, { "q": "Let k(z) = 568917*z**2. Let x(d) = -20*d. Give x(k(f)).", "a": "-11378340*f**2" }, { "q": "Let f(l) be the third derivative of l**4/6 + 9*l**2. Suppose 2*u - 10*u = -16. Let q(o) = 2*o + o + u*o. Give f(q(m)).", "a": "20*m" }, { "q": "Let d(o) = -o + 0*o + 4*o**2 + o + 2*o**2. Suppose -3*s - h + 58 = -6*h, -5*s + h = -126. Let q(z) = -z + 26 - s. Calculate q(d(k)).", "a": "-6*k**2" }, { "q": "Let y(b) = 4*b**2. Let x(d) = 2182067*d. Calculate x(y(u)).", "a": "8728268*u**2" }, { "q": "Suppose -12 = -5*z + 4*z. Let v be 5/15 + (-4)/(z/(-5)). Let t(b) = 2 + 0 + v*b**2 - 2. Let k(i) = 3*i**2. Give k(t(d)).", "a": "12*d**4" }, { "q": "Let t(n) be the second derivative of -4*n**3/3 - 213*n. Let u(z) be the first derivative of z**2 - 6. Calculate u(t(o)).", "a": "-16*o" }, { "q": "Let i(p) = p. Let m(k) be the first derivative of -2*k**3/3 - 855*k + 686. Calculate m(i(s)).", "a": "-2*s**2 - 855" }, { "q": "Let u(v) = 166*v. Let j(b) = 23243*b**2. What is u(j(s))?", "a": "3858338*s**2" }, { "q": "Let n(d) = -97*d. Let r(h) = -1. Let c(b) = -n(b) - 2*r(b). Let q(j) = -2*j. Determine q(c(l)).", "a": "-194*l - 4" }, { "q": "Let x(h) = 33*h**2. Let b(t) = 8*t**2. Let g(o) = -21*b(o) + 5*x(o). Let c(d) be the second derivative of -5*d**4/12 + 1965*d. Give g(c(q)).", "a": "-75*q**4" }, { "q": "Let q(k) = 219*k. Let z(g) = -4754 + g + 4754 + 5*g. Calculate z(q(o)).", "a": "1314*o" }, { "q": "Let u(f) = -f**2. Let x(a) = -2*a**2 + 2*a. Let d(b) = 147 - 147 - 4*b**2 + 5*b. Let t = 18 - 20. Let w(m) = t*d(m) + 5*x(m). Calculate w(u(p)).", "a": "-2*p**4" }, { "q": "Let q(s) = 11*s. Let f(d) = -3*d**2 + 3*d + 3. Let j(c) = 0*c + 3 - 4*c**2 + 5*c - 3 + 5. Let r(u) = -5*f(u) + 3*j(u). Determine r(q(b)).", "a": "363*b**2" }, { "q": "Let k(x) = -24*x - 10. Let y(s) = 5241*s. Calculate y(k(m)).", "a": "-125784*m - 52410" }, { "q": "Let f(w) = 8*w**2 - 1281*w + 17. Let g(q) = -q**2. What is f(g(o))?", "a": "8*o**4 + 1281*o**2 + 17" }, { "q": "Let s(j) = 137 - 43*j - 127*j + 23*j - 137. Let u(q) = 2*q**2. Give s(u(n)).", "a": "-294*n**2" }, { "q": "Let j(r) = -115 + 72 + 314*r + 44. Let m(n) = n. Calculate j(m(a)).", "a": "314*a + 1" }, { "q": "Let f(d) = 2*d. Let j(m) = 3*m**2 + 21*m + 38. Let l be j(-9). Let s(w) = l - 92 + 112*w. Give s(f(q)).", "a": "224*q" }, { "q": "Let p(s) = -2260934*s. Let l(t) = -8*t**2. Determine l(p(i)).", "a": "-40894580418848*i**2" }, { "q": "Let k(q) = q. Let p be k(-7). Let g = p + 9. Let l(a) = 2*a**g - a**2 - 6*a**2. Let h(y) = 6*y. What is h(l(x))?", "a": "-30*x**2" }, { "q": "Let w(r) = -7*r**2 - 12*r - 12. Let n(q) = 6*q**2 + 10*q + 10. Let x(v) = -6*n(v) - 5*w(v). Let j(o) = 2887*o**2. What is j(x(t))?", "a": "2887*t**4" }, { "q": "Let r(b) = 4*b - 2 + 2. Let j be -5 - -5 - -3938 - 3/1. Let a(p) = 3935 - j + 3*p. Calculate r(a(v)).", "a": "12*v" }, { "q": "Let z(r) = 19*r**2. Let c(x) = 103 - 52*x - 34 - 29 - 40. Determine z(c(p)).", "a": "51376*p**2" }, { "q": "Let o(i) = -21*i**2 + 5*i - 10. Let u(n) = -24*n**2 + 6*n - 12. Let z(m) = -6*o(m) + 5*u(m). Let q(a) = 79*a - 1. Determine q(z(s)).", "a": "474*s**2 - 1" }, { "q": "Let b(o) = -o + 1163. Let i(r) = 7*r + 27. Give i(b(h)).", "a": "-7*h + 8168" }, { "q": "Let y(n) = -4*n**2. Suppose 3*z = 2*t + 5, 0*t + z = -4*t + 11. Let j(a) = -3*a - 2. Let c(l) = -35*l - 25. Let s(q) = t*c(q) - 25*j(q). What is s(y(p))?", "a": "-20*p**2" }, { "q": "Let d(o) = -115556*o**2. Let i(q) = 12*q**2. Give i(d(f)).", "a": "160238269632*f**4" }, { "q": "Let x(y) = 5*y**2 - 3*y**2 - 31*y**2 + 13*y**2 + 13*y**2. Let r(m) = -296*m. What is x(r(i))?", "a": "-262848*i**2" }, { "q": "Let n = -33 - -40. Let m(w) = 4*w + n*w - 22*w. Let p(x) = -3*x**2 + x**2 + 0*x**2 + 3*x**2. Calculate p(m(h)).", "a": "121*h**2" }, { "q": "Let a(v) = -129*v - 1. Let z(y) = -32*y**2 - 7. Calculate a(z(t)).", "a": "4128*t**2 + 902" }, { "q": "Let a(r) = -2*r**2. Let n(p) = -p**3 - 5*p**2 + 14*p - 10. Let z be n(-7). Let g = 1 - z. Let b(q) = -g*q + 11*q - 34*q**2. Determine a(b(y)).", "a": "-2312*y**4" }, { "q": "Let m(x) = 14*x - 55*x + 13*x + 11*x + 14*x. Let c(t) = 4*t**2 + 45*t. What is m(c(h))?", "a": "-12*h**2 - 135*h" }, { "q": "Let t(w) = 3*w**2. Let g(f) = 22*f**2 - 1004*f**2 - 7 - 143*f**2 + 7. Determine g(t(p)).", "a": "-10125*p**4" }, { "q": "Let s(d) = -12*d**2 - 34*d - 68. Let v(r) = -r**2 - 3*r - 6. Suppose 66*x - 24 = 70*x. Let q(u) = x*s(u) + 68*v(u). Let y(g) = g**2. Determine y(q(b)).", "a": "16*b**4" }, { "q": "Let u(p) = 0*p**2 + 10*p**2 - 4*p**2 - 4*p**2. Let r(j) = 3*j**2 + 2*j + 2. Let o(y) = -21*y**2 - 15*y - 15. Let v(z) = -6*o(z) - 45*r(z). Determine u(v(i)).", "a": "162*i**4" }, { "q": "Let w(g) = -114*g. Let r(q) = 62052*q. Determine w(r(n)).", "a": "-7073928*n" }, { "q": "Let g(c) = 2*c - 22. Let p(b) be the second derivative of 4*b**3/3 + 174*b. Determine g(p(x)).", "a": "16*x - 22" }, { "q": "Let z(a) = -14*a - 66500. Let v(q) = -4*q. Calculate v(z(k)).", "a": "56*k + 266000" }, { "q": "Let m be (-1)/(-3) - (-57)/(-9). Let s = 1420 - 1415. Let w(o) = -5*o. Let l(z) = -4*z. Let c(y) = m*l(y) + s*w(y). Let n(p) = -3*p**2. Give c(n(b)).", "a": "3*b**2" }, { "q": "Let c(u) = -436 - 42*u + 150 + 141 + 147. Let q(r) = 16*r**2. Determine q(c(w)).", "a": "28224*w**2 - 2688*w + 64" }, { "q": "Let h(m) = -m. Let c(u) = 3*u - 1. Let b be c(1). Suppose b*x - 26 = -q, q - 20 = -4*q. Let n(w) = 4*w - 7*w - x*w. Determine h(n(v)).", "a": "14*v" }, { "q": "Let y(b) be the third derivative of b**7/360 + 8*b**4/3 + b**3/3 - 46*b**2. Let i(n) be the second derivative of y(n). Let s(q) = 2*q. Determine i(s(d)).", "a": "28*d**2" }, { "q": "Let j(i) be the first derivative of i**2 - i - 2 + i. Let h(g) be the second derivative of -4*g**3/3 - 410*g. Give h(j(r)).", "a": "-16*r" }, { "q": "Let o(k) = 227*k. Let a(r) be the second derivative of -r**4/12 - 1119*r. What is o(a(v))?", "a": "-227*v**2" }, { "q": "Let k(t) = 78*t**2. Let m(g) be the first derivative of -15*g**2/2 + 371. Give m(k(f)).", "a": "-1170*f**2" }, { "q": "Let l(v) = v + 212. Let q(s) = -5*s + 1478214 - 1478214 + 2*s + s. What is l(q(c))?", "a": "-2*c + 212" }, { "q": "Let x(v) be the first derivative of -227*v**3 - 1397. Let m(s) = s. What is x(m(z))?", "a": "-681*z**2" }, { "q": "Let x(l) be the second derivative of l**4/12 - 970*l. Let p(c) = 433*c + 1. Calculate x(p(j)).", "a": "187489*j**2 + 866*j + 1" }, { "q": "Let i(v) = -79*v - 7. Let t(o) = 40*o + 3. Let b(z) = 3*i(z) + 7*t(z). Let l(k) = 9*k**2. Give l(b(d)).", "a": "16641*d**2" }, { "q": "Let h be (42 + -36)*1/3. Let n(g) = -29*g**h - 16*g**2 + 49*g**2. Let k(q) = -4*q. Calculate k(n(a)).", "a": "-16*a**2" }, { "q": "Let r(d) = 3*d**2. Suppose -f + 130 - 124 = 0. Let y(m) = f*m**2 - 2*m**2 + 5*m**2. Determine y(r(i)).", "a": "81*i**4" }, { "q": "Let f(k) = -k**2. Suppose -29*h - 10 = -27*h. Let p(a) = -a**2 - 15*a - 17. Let q be p(h). Let j(t) = q*t - 3*t - 4*t. What is f(j(m))?", "a": "-676*m**2" }, { "q": "Let f be -1*(-3)/(-15)*225/(-90). Let x(w) be the second derivative of -f*w**3 + 0*w**2 + 0 + 7*w. Let k(l) = -11*l**2. Give x(k(v)).", "a": "33*v**2" }, { "q": "Let s(t) be the third derivative of 0*t + 0*t**3 - 1/15*t**5 + 29*t**2 + 0*t**4 + 0. Let k(y) = -9*y. Determine s(k(o)).", "a": "-324*o**2" }, { "q": "Let h(w) = -112*w**2 - w. Let z(o) = 14*o + 35. Let j(x) = 20*x + 49. Let y(t) = 5*j(t) - 7*z(t). Determine h(y(r)).", "a": "-448*r**2 - 2*r" }, { "q": "Let o(p) = 159*p - 84. Let c(w) = -53*w + 24. Let h(v) = -7*c(v) - 2*o(v). Let u(z) = 9*z. Calculate h(u(d)).", "a": "477*d" }, { "q": "Let d(h) = -9*h**2 - h. Let v(t) = 103316*t. What is d(v(b))?", "a": "-96067762704*b**2 - 103316*b" }, { "q": "Let j(z) = -2*z. Let a(q) = 169*q**2 + 6*q + 35. Let r(v) = -170*v**2 - 7*v - 40. Let x(i) = 7*a(i) + 6*r(i). What is j(x(h))?", "a": "-326*h**2 - 10" }, { "q": "Let t be (-4)/(-1) + (-96)/(-3). Let o(a) = -t + 36 - 6*a**2. Let l(c) = 4*c**2. What is o(l(m))?", "a": "-96*m**4" }, { "q": "Let f(w) = 46*w**2 + 3*w. Let o(c) be the second derivative of -c - 5 + 0*c**2 + 1/3*c**3. Give f(o(s)).", "a": "184*s**2 + 6*s" }, { "q": "Let m(z) be the third derivative of -z**4/12 - 614*z**2. Let a(h) = 343*h + 1. Determine a(m(b)).", "a": "-686*b + 1" }, { "q": "Let p(s) be the second derivative of 10*s**3 - 1023*s. Let u(v) = -15*v. Give p(u(a)).", "a": "-900*a" }, { "q": "Let q(h) = 12*h**2. Let t(p) = 91*p**2 + 92*p**2 + 95*p**2 - 284*p**2. What is q(t(j))?", "a": "432*j**4" }, { "q": "Let d(b) be the second derivative of b**4/12 + 7*b. Let p(j) be the first derivative of -j**2 - 20*j - 469. Calculate p(d(l)).", "a": "-2*l**2 - 20" }, { "q": "Let j(m) = 35*m. Let h(n) = 4*n. Let t(z) = 30*h(z) - 3*j(z). Let w(d) = 67*d**2. Give t(w(s)).", "a": "1005*s**2" }, { "q": "Let j(o) = -o**2. Let z(g) be the third derivative of -g**7/1260 - g**4/8 + 8*g**3/3 - 4*g**2 + 4. Let k(i) be the second derivative of z(i). What is k(j(h))?", "a": "-2*h**4" }, { "q": "Let a(p) = 11*p**2 - 3*p**2 + 9*p**2. Let s(c) = -3723*c**2 - 23654*c + 23654*c + 3718*c**2. Calculate a(s(o)).", "a": "425*o**4" }, { "q": "Let o(g) = -2657*g. Let h(z) = -2*z**2 + 607 + 588 - 1195. Give o(h(q)).", "a": "5314*q**2" }, { "q": "Let v(x) = 291*x**2 - 409*x - 3. Let t(p) = -p**2. Give v(t(q)).", "a": "291*q**4 + 409*q**2 - 3" }, { "q": "Let n(f) = f. Let x(o) be the first derivative of -o**5/10 + o**4/24 - 4*o**3/3 - 4*o - 45. Let t(w) be the third derivative of x(w). What is t(n(j))?", "a": "-12*j + 1" }, { "q": "Let y(c) = 7982510*c. Let w(v) = 2*v. Determine w(y(z)).", "a": "15965020*z" }, { "q": "Let s(q) = 5*q. Let h = -225 + 230. Let d(l) = 0*l - h*l - 4*l - l. Determine d(s(x)).", "a": "-50*x" }, { "q": "Let w(u) = u**2 + 2*u - 1. Let a(i) = -11*i**2 - 18*i + 9. Let c(r) = -a(r) - 9*w(r). Let x(g) = 9*g**2 + 27*g. Give x(c(k)).", "a": "36*k**4 + 54*k**2" }, { "q": "Let g(v) = 2*v. Let m(l) = 3291153*l. What is m(g(h))?", "a": "6582306*h" }, { "q": "Let x(y) = 4*y. Let p(g) = -4*g - 4. Let w(u) = 21*u + 22. Let i(q) = 11*p(q) + 2*w(q). Let j(d) = d. Let z(v) = i(v) - 2*j(v). Give z(x(a)).", "a": "-16*a" }, { "q": "Let f(z) = 50*z**2. Let l(m) = -m**2 - 7*m - 1. Let j(i) = -i**2 + 21*i + 3. Let c(g) = j(g) + 3*l(g). Calculate c(f(p)).", "a": "-10000*p**4" }, { "q": "Let q = -2 - -4. Let m(d) = -10*d**2 - 2*d**q + 3*d**2. Let c(h) = -35*h. Let x(f) = 114*f. Let n(w) = -13*c(w) - 4*x(w). What is m(n(o))?", "a": "-9*o**2" }, { "q": "Let u(l) = l**2. Let d(x) = 1277*x + 760. Give d(u(i)).", "a": "1277*i**2 + 760" }, { "q": "Let v(f) = 61*f + 27. Let z(u) = -3*u**2 - 47*u. Give v(z(w)).", "a": "-183*w**2 - 2867*w + 27" }, { "q": "Let y(k) = 2418*k. Let j(u) = -7606*u. Give y(j(n)).", "a": "-18391308*n" }, { "q": "Let y(b) = b. Let v(s) be the second derivative of -75*s**3/2 - 5*s + 37. Calculate v(y(a)).", "a": "-225*a" }, { "q": "Let n(t) = -2*t**2 + 15*t - 12. Let u be n(6). Let s(i) = -u*i + 4*i - 13*i + i**2. Let m(f) = f**2. Determine m(s(y)).", "a": "y**4 - 30*y**3 + 225*y**2" }, { "q": "Let b(i) = i. Let u = 144 - 131. Let t(n) = 11*n - 12*n - u*n. Calculate t(b(x)).", "a": "-14*x" }, { "q": "Let x(b) = b**2. Let p(u) be the third derivative of 3*u**4/4 + 53*u**2 - 2. What is x(p(q))?", "a": "324*q**2" }, { "q": "Let y(d) = 7*d. Let m(r) = 355211*r + 2. Determine y(m(v)).", "a": "2486477*v + 14" }, { "q": "Suppose -17*j + 3352 = -6457. Let g(h) = 287*h**2 - j*h**2 + 333*h**2. Let y(x) = 2*x. Calculate y(g(l)).", "a": "86*l**2" }, { "q": "Let p be (133/1197)/(8/6). Let y(b) be the second derivative of 0*b**2 - p*b**4 + 0*b**3 + 0 - 13*b. Let c(k) = 9*k. Give c(y(u)).", "a": "-9*u**2" }, { "q": "Let m(u) = -77*u. Let c(w) = -w**2 + 352*w - 102. Give c(m(b)).", "a": "-5929*b**2 - 27104*b - 102" }, { "q": "Let q(a) = -2*a**2. Let f(i) = -1509965*i + 3. Calculate f(q(s)).", "a": "3019930*s**2 + 3" }, { "q": "Let i(j) be the third derivative of -j**5/60 - 3*j**2. Let v(p) be the second derivative of -20*p**3 - 5*p - 9. Give v(i(a)).", "a": "120*a**2" }, { "q": "Let f be 4/4 - 110/(-2). Let r(c) = 38*c**2 - f*c**2 + 42*c**2. Let j(y) = y. Give j(r(z)).", "a": "24*z**2" }, { "q": "Let f(k) = -k**2 - k - 2. Let q(c) = 6*c**2 + 5*c - 3. Let b(n) = 5*f(n) + q(n). Let w(d) = -2*d. Give b(w(s)).", "a": "4*s**2 - 13" }, { "q": "Let b(p) = p. Let u(t) = 54 + 18 - 41 + 5 + 1 + 35*t. Calculate b(u(a)).", "a": "35*a + 37" }, { "q": "Let h(q) = 14*q**2 - 8*q - 120. Let a(g) = -9*g**2 + 5*g + 75. Let w(c) = -8*a(c) - 5*h(c). Let t(b) = -14*b + 19. What is w(t(z))?", "a": "392*z**2 - 1064*z + 722" }, { "q": "Let r(a) = -2*a - 6*a + 8*a + 2*a. Let y(o) be the first derivative of -o**6/360 - o**3 + 5. Let g(i) be the third derivative of y(i). Determine g(r(m)).", "a": "-4*m**2" }, { "q": "Let t(z) = -z**2 + 44. Let a(f) = -f - 7*f + 4 + 9 - 13. Calculate a(t(i)).", "a": "8*i**2 - 352" }, { "q": "Let p(b) = 828800*b**2. Let h(v) = 13*v**2. Give p(h(l)).", "a": "140067200*l**4" }, { "q": "Let j(m) be the third derivative of m**4/24 + m**2. Let o(q) = 7*q**2 - 10*q + 7. Let p(s) = -2*s**2 + 15*s - 9. Let w(g) = 3*o(g) + 2*p(g). Determine w(j(u)).", "a": "17*u**2 + 3" }, { "q": "Let a(t) = 39 - 4*t**2 + t**2 + 41 - 80. Let u(q) = -84*q - 2. Give u(a(v)).", "a": "252*v**2 - 2" }, { "q": "Let l(k) = -5*k**2. Let p(j) = 4192202*j. What is l(p(q))?", "a": "-87872788044020*q**2" }, { "q": "Let d(r) = -r + 39*r**2 + r. Let o(w) = w**2. Let z(x) = 2*x**2. Suppose -5*c + 4*p = 18, 8*p - 9*p + 10 = -4*c. Let f(h) = c*z(h) + 5*o(h). Determine d(f(k)).", "a": "39*k**4" }, { "q": "Let d = 115 - 109. Let f(o) = -8 - d + o + 14. Let y(l) = 3*l - 4. Let q(b) = 4*b - 3. Let a(r) = -4*q(r) + 3*y(r). Calculate a(f(s)).", "a": "-7*s" }, { "q": "Let a(f) = 900*f - 351. Let i(p) = 31*p - 12. Let g(c) = 4*a(c) - 117*i(c). Let v(o) be the first derivative of o**3/3 - 14. What is g(v(w))?", "a": "-27*w**2" }, { "q": "Let c(k) = 2*k. Let i(q) = 117*q**2 + 13. Let x = -60 + 89. Let o(r) = 25 - 13 + x*r**2 - 9. Let p(w) = 3*i(w) - 13*o(w). Determine c(p(n)).", "a": "-52*n**2" }, { "q": "Let z(w) = 628*w**2. Let x(g) = -687*g**2. What is x(z(n))?", "a": "-270941808*n**4" }, { "q": "Let i(y) = -16*y. Let f(m) = 44*m. Let a(q) = -3*f(q) - 8*i(q). Let o(j) = 4*j**2 + 7*j. What is a(o(s))?", "a": "-16*s**2 - 28*s" }, { "q": "Let k(i) = -105*i**2. Let a(o) = -2788*o + 5582*o - 2786*o. Give a(k(n)).", "a": "-840*n**2" }, { "q": "Let j(u) = -u + 264. Let a(r) = 499*r**2 + 8. What is j(a(t))?", "a": "-499*t**2 + 256" }, { "q": "Let q(o) be the second derivative of -o**4/12 + 14*o**2 + 1284*o. Let s(g) = -15*g**2. Determine s(q(f)).", "a": "-15*f**4 + 840*f**2 - 11760" }, { "q": "Let t(l) = -57*l**2. Let s(p) = 22625*p. What is s(t(i))?", "a": "-1289625*i**2" }, { "q": "Let q(x) = -2*x**2. Suppose -6*t = -4 - 32. Let y(b) = -b + 9. Let w be y(t). Let g(m) = -w*m + 7 + m - 7. What is q(g(s))?", "a": "-8*s**2" }, { "q": "Let u(d) = 3*d. Let v(o) = 13*o**2 + 1. Let p(g) = -83*g**2 - 12. Let h(l) = p(l) + 6*v(l). Calculate h(u(m)).", "a": "-45*m**2 - 6" }, { "q": "Let a(s) = 7*s**2. Let l(c) = -48*c - 6. Let m(u) = 2159*u + 272. Let q(r) = 136*l(r) + 3*m(r). Calculate q(a(g)).", "a": "-357*g**2" }, { "q": "Let s(q) = -9*q**2 - 12. Let b be 342/(-66) - (-1 - 27/(-33)). Let i(w) = -4*w**2 - 5. Let c(z) = b*s(z) + 12*i(z). Let a(v) = 5*v**2 - 7*v. What is a(c(t))?", "a": "45*t**4 + 21*t**2" }, { "q": "Let t(y) = y**2 - y - 237. Let w(l) = -4*l + 4. Calculate t(w(b)).", "a": "16*b**2 - 28*b - 225" }, { "q": "Let g(k) = -49*k - 39*k - 42*k + 129*k. Let l(v) = 88*v**2 - 1. Determine g(l(h)).", "a": "-88*h**2 + 1" }, { "q": "Let n(s) be the first derivative of s**2/2 + 3. Let w(a) = -44*a - 21. Let g(j) = -437*j - 207. Let v(q) = 7*g(q) - 69*w(q). Determine n(v(d)).", "a": "-23*d" }, { "q": "Let t = 202 - 197. Let x(y) = 24*y - 10*y - 5 + t. Let g(r) = -2*r**2. Determine g(x(o)).", "a": "-392*o**2" }, { "q": "Let j(t) be the third derivative of 5*t + 3*t**2 - 1/30*t**5 + 0 + 0*t**4 + 0*t**3. Let s(x) = -5*x**2. What is s(j(v))?", "a": "-20*v**4" }, { "q": "Let a(m) be the first derivative of -m**3/3 + 212. Let w(i) = -3273*i**2. Determine w(a(n)).", "a": "-3273*n**4" }, { "q": "Let s(i) = -10*i**2. Let r(z) be the first derivative of 76 + 49 - 81 + z**2. What is r(s(m))?", "a": "-20*m**2" }, { "q": "Let o(w) = -802*w**2. Let d(l) be the third derivative of -l**4/8 + 1161*l**2 + 1. Calculate d(o(m)).", "a": "2406*m**2" }, { "q": "Let q(h) be the second derivative of h**3 + 48*h - 15. Let v(x) = -456*x. Determine v(q(r)).", "a": "-2736*r" }, { "q": "Let n(z) = 11038*z. Let j(t) = -93*t**2. Determine n(j(l)).", "a": "-1026534*l**2" }, { "q": "Let p(l) = -1010039*l. Let q(x) = 4*x**2. Determine p(q(v)).", "a": "-4040156*v**2" }, { "q": "Let l(o) = -o. Let f(y) be the first derivative of 151 + 142 + 3*y - 3*y**2 - 309. What is f(l(w))?", "a": "6*w + 3" }, { "q": "Let u(v) = 34*v**2. Let j(a) be the second derivative of 25*a**3/6 - a + 77. Calculate u(j(o)).", "a": "21250*o**2" }, { "q": "Let j(l) = l**2 + 6*l - 6*l. Let d(s) = 14*s**2 - 5*s. Let t(x) = 77*x**2 - 36*x**2 - 3*x - 34*x**2. Let f(y) = 3*d(y) - 5*t(y). Determine j(f(a)).", "a": "49*a**4" }, { "q": "Let u(w) = -6*w. Let p(z) = z**3 - 13*z**2 - 16*z + 34. Let m be p(14). Let v(s) = m*s + 257 - 257. What is v(u(c))?", "a": "-36*c" }, { "q": "Let y(z) = 4*z. Let i(j) = -7*j - 3. Let s(h) = 38*h + 4. Let x(v) = -v - 1. Let f(r) = -2*s(r) + 44*x(r). Let q(a) = 6*f(a) - 104*i(a). Calculate y(q(t)).", "a": "32*t" }, { "q": "Let a(h) = 9060*h. Let d(m) = m**2 + 176*m. Calculate a(d(l)).", "a": "9060*l**2 + 1594560*l" }, { "q": "Let j(m) = 20*m**2. Let a(i) be the second derivative of -i**6/120 + i**3/2 - i**2/2 - 24*i. Let v(t) be the second derivative of a(t). Calculate v(j(f)).", "a": "-1200*f**4" }, { "q": "Let f(v) = 33*v - 10*v - 20*v. Let l(k) be the third derivative of -k**4/12 - 6*k**2. Let w(d) = 2*d. Let i(c) = -3*l(c) - 2*w(c). What is i(f(h))?", "a": "6*h" }, { "q": "Let u(j) = 95*j**2. Let z(h) be the third derivative of 0 + 0*h**4 + 0*h**3 + 1/30*h**5 + 58*h**2 + 0*h. Give u(z(q)).", "a": "380*q**4" }, { "q": "Let t(p) = -27*p. Let r(l) = l**3 + 31*l**2 + 9*l + 7. Let k be r(-29). Let f(v) = 1428 - k - v. Give f(t(z)).", "a": "27*z" }, { "q": "Let d(z) = 147*z. Let f(j) = -17 + 18 + 12*j - 9*j. Let c(q) = -q**2 + 9*q + 3. Let i(g) = -c(g) + 3*f(g). What is i(d(h))?", "a": "21609*h**2" }, { "q": "Suppose 42 = 5*x + x. Let r(h) = 7*h**2 + 3*h - 3. Let s(m) = 16*m**2 + 7*m - 7. Let w(q) = x*r(q) - 3*s(q). Let u(j) = -11*j. Calculate w(u(v)).", "a": "121*v**2" }, { "q": "Let n(h) = 240*h. Let p(l) = -44798*l. Determine n(p(q)).", "a": "-10751520*q" }, { "q": "Let h(v) = 3*v. Let g(m) = 2772*m**2 + 66. Determine g(h(x)).", "a": "24948*x**2 + 66" }, { "q": "Let m(l) = 403*l + 12*l**2 - 13*l**2 - 403*l. Let w(g) = 22*g - 5. Let i(p) = 0 + 2 + 11*p - 4. Let s(v) = 5*i(v) - 2*w(v). Determine s(m(k)).", "a": "-11*k**2" }, { "q": "Let u(r) be the first derivative of 19*r**5/120 - 35*r**3/3 - 39. Let f(n) be the third derivative of u(n). Let l(x) = -2*x. Give f(l(t)).", "a": "-38*t" }, { "q": "Let h(x) be the second derivative of 11*x**3/6 - 6*x + 70. Let a(y) = 2*y - 1. Give a(h(k)).", "a": "22*k - 1" }, { "q": "Let j(d) = -4*d. Let t(g) be the third derivative of -g**5/60 - 55*g**4/24 - 469*g**2. Give j(t(i)).", "a": "4*i**2 + 220*i" }, { "q": "Let c(z) be the first derivative of 15*z**2/2 + 1. Let l(u) = 5*u**2 - 672022 + 672022. Give l(c(f)).", "a": "1125*f**2" }, { "q": "Let y(d) = 25*d + 16*d - 38*d - 16*d. Let l(o) be the first derivative of -1 + 0*o - 1/2*o**2. Calculate l(y(r)).", "a": "13*r" }, { "q": "Let z(n) = n. Let w(o) = 30*o. Let a(j) = w(j) - 36*z(j). Let h(r) be the first derivative of 3*r**2 + 7. Give a(h(t)).", "a": "-36*t" }, { "q": "Let s(q) = q. Suppose -6*i + 13*i = -19*i. Let h(g) be the second derivative of i - 1/2*g**3 + 0*g**2 + 17*g. Determine h(s(r)).", "a": "-3*r" }, { "q": "Let d(j) = -6*j**2 - 12. Let y(o) = -7681*o. Calculate y(d(n)).", "a": "46086*n**2 + 92172" }, { "q": "Let s(q) = 1439*q. Let g(j) = 2814*j. Determine s(g(x)).", "a": "4049346*x" }, { "q": "Let w(h) = 3*h**2. Let o(b) = 11*b**2 - 58*b + 10. Let c(s) = -6*s**2 + 29*s - 6. Let l(v) = -5*c(v) - 3*o(v). What is l(w(m))?", "a": "-27*m**4 + 87*m**2" }, { "q": "Let s(r) = -3237*r**2. Let m(g) = -3454*g. Calculate m(s(i)).", "a": "11180598*i**2" }, { "q": "Let x(w) = -w**2 + 1. Let z(n) = 27 - 22 + n**2 - 9*n**2. Let i(l) = 5*x(l) - z(l). Let p(y) = 24*y**2. What is p(i(k))?", "a": "216*k**4" }, { "q": "Let x(q) = -q. Let p(h) = 5713*h - 209. What is p(x(n))?", "a": "-5713*n - 209" }, { "q": "Let f(b) = 216*b - 5320. Let y(q) = -q**2. Calculate f(y(r)).", "a": "-216*r**2 - 5320" }, { "q": "Let j(g) = -g**2. Let k(n) = 1059033*n**2. Calculate j(k(a)).", "a": "-1121550895089*a**4" }, { "q": "Let x(q) = 8*q**2. Let s(h) = 1. Let w(o) = 7*o - 4. Let m(r) = -5*s(r) - w(r). Calculate x(m(i)).", "a": "392*i**2 + 112*i + 8" }, { "q": "Let f(a) = -10*a**2. Let h(u) = -u**2 + 6*u + 4. Let l be h(7). Let n(m) = -21*m + 21. Let p(j) = 10*j - 9. Let v(r) = l*n(r) - 7*p(r). What is f(v(d))?", "a": "-490*d**2" }, { "q": "Let z(m) = -20*m**2 - 12*m. Let j(a) = -8*a**2 - 5*a. Let r(v) = 12*j(v) - 5*z(v). Let p(l) = -26*l**2 - 31*l**2 - 28*l**2 + 76*l**2. Determine r(p(i)).", "a": "324*i**4" }, { "q": "Let x(w) = -11*w + 412. Let m(s) = -453*s + 2. What is x(m(d))?", "a": "4983*d + 390" }, { "q": "Let y(t) = -t**2 + 42. Let o(c) = -2*c**2 + 91. Let w(j) = -6*o(j) + 13*y(j). Let m(u) = -u. What is w(m(q))?", "a": "-q**2" }, { "q": "Let o(g) be the second derivative of 11*g**5/120 + 37*g**3/6 + 23*g. Let i(w) be the second derivative of o(w). Let m(u) = -9*u. What is i(m(v))?", "a": "-99*v" }, { "q": "Let m(f) = 41370*f - 82731*f + 41360*f. Let z(r) be the second derivative of 2*r**3/3 - r. Give z(m(h)).", "a": "-4*h" }, { "q": "Suppose -4 = -z - 3*z, 0 = -4*o + 3*z - 27. Let a be -45*(2 - (-16)/o). Let y(x) = -31*x**2 + 63*x**2 - a*x**2. Let l(s) = 7*s. Determine l(y(p)).", "a": "14*p**2" }, { "q": "Let c(u) = -16*u**2 - 58*u. Let g(q) = -1015*q + 1. Calculate g(c(a)).", "a": "16240*a**2 + 58870*a + 1" }, { "q": "Let d(x) = 5*x - 5*x - 1 - 4*x - x + 10*x. Let n(y) = -8*y**2. Let l(h) = h**2. Let u(g) = -18*l(g) - 2*n(g). Give d(u(w)).", "a": "-10*w**2 - 1" }, { "q": "Let z(y) = 36671*y**2 - 21. Let h(x) = -2*x. Give h(z(j)).", "a": "-73342*j**2 + 42" }, { "q": "Let y(d) = 321124*d**2. Let f(h) = 40*h. Determine f(y(t)).", "a": "12844960*t**2" }, { "q": "Let x(r) = -21*r**2 - 12. Let g(k) = -2*k**2 - 1. Let s(m) = -12*g(m) + x(m). Let b(y) = 5*y + 3. What is s(b(u))?", "a": "75*u**2 + 90*u + 27" }, { "q": "Let w(s) = 2*s + 110 + 113 - 223. Let d(b) = 1494*b**2 + 2*b. Determine w(d(u)).", "a": "2988*u**2 + 4*u" }, { "q": "Let s(h) be the first derivative of -h**5/20 - h**2/2 - 1. Let i(f) be the second derivative of s(f). Let a(y) = 71*y - 69 + 69 - 64*y. What is i(a(q))?", "a": "-147*q**2" }, { "q": "Let o(f) = -6*f**2 + 45301. Let s(i) = -i. Determine o(s(u)).", "a": "-6*u**2 + 45301" }, { "q": "Let h(s) = 13*s. Let t(l) be the second derivative of -l**4/24 + 47*l**2/2 + l - 20. Let b(u) be the first derivative of t(u). Calculate h(b(p)).", "a": "-13*p" }, { "q": "Let n(s) = s**2 - 7*s + 14. Let i(l) = l**2 - 6*l + 12. Let y(a) = -7*i(a) + 6*n(a). Let r(z) be the second derivative of 13*z**3/6 + 16*z. What is y(r(w))?", "a": "-169*w**2" }, { "q": "Let y(t) be the third derivative of -t**4/8 - 15*t**2 - 5*t. Suppose -3*g = g. Let k(h) = g*h + 4*h - 7*h. What is k(y(b))?", "a": "9*b" }, { "q": "Let b(r) = 60*r**2 + 2. Let g(j) = -20465*j. What is b(g(k))?", "a": "25128973500*k**2 + 2" }, { "q": "Let o(q) = -21*q**2. Let h be (-9021)/(-1302) - 2/(-28). Let s(b) be the first derivative of 2/3*b**3 - h + 0*b**2 + 0*b. What is o(s(f))?", "a": "-84*f**4" }, { "q": "Let t(v) = -15*v**2. Let x(k) = 0 + 5*k - 3 - 4*k - 15 + k. Give t(x(r)).", "a": "-60*r**2 + 1080*r - 4860" }, { "q": "Suppose -11 = -2*h + 5. Suppose -15 = -13*j + h*j. Let p(c) = c + 3*c - j*c + c. Let s(y) = -y**2. What is p(s(d))?", "a": "-2*d**2" }, { "q": "Let w(i) = 631*i - 6. Let y(s) = 110*s. Give w(y(t)).", "a": "69410*t - 6" }, { "q": "Let g(v) = -2*v**2. Let q(w) = 3*w - 2308627. What is q(g(a))?", "a": "-6*a**2 - 2308627" }, { "q": "Let d = 93 + -90. Let a(m) = -682 - d*m - 4*m + 682. Let q(s) = 14*s. Determine a(q(r)).", "a": "-98*r" }, { "q": "Let w(y) be the third derivative of 0*y - 7*y**2 - 1/6*y**4 + 0*y**3 + 0. Let t(u) be the second derivative of u**3/2 - 4*u. Give t(w(n)).", "a": "-12*n" }, { "q": "Let x(h) = h + 6. Let j(q) = -1. Let r(m) = 6*j(m) + x(m). Let s(y) = -16*y**2 - 16*y**2 + 62*y**2. Calculate r(s(t)).", "a": "30*t**2" }, { "q": "Let i(d) = -17*d. Let c(a) be the first derivative of 4*a**2 - 391. Calculate i(c(q)).", "a": "-136*q" }, { "q": "Let s(b) = -14*b**2. Let i(f) be the second derivative of 12*f**3 + 886*f. Calculate s(i(h)).", "a": "-72576*h**2" }, { "q": "Let w(s) = 8*s - 3. Let f(j) be the second derivative of j**3 - j**2 + 31*j. Let d(v) = 3*f(v) - 2*w(v). Let o(q) = -62*q**2 - q. What is d(o(x))?", "a": "-124*x**2 - 2*x" }, { "q": "Let k(a) = 2*a**2. Let q(o) = 14 + 2*o + 4 + 0*o. Let c(p) = 2756 - 1381 - 1374. Let u(r) = 36*c(r) - 2*q(r). Determine u(k(v)).", "a": "-8*v**2" }, { "q": "Let j(t) = -5910*t**2 + 6*t. Let i(z) = -59*z. Calculate j(i(r)).", "a": "-20572710*r**2 - 354*r" }, { "q": "Let l(d) = 15*d - 506*d**2 - 17 + 503*d**2 + 17. Let i(x) = 11*x**2. Give i(l(f)).", "a": "99*f**4 - 990*f**3 + 2475*f**2" }, { "q": "Let d(y) = -3*y**2. Let v(q) = q**2 + 152845*q + 4. Determine v(d(j)).", "a": "9*j**4 - 458535*j**2 + 4" }, { "q": "Let q be 8/6*48/32. Let a(d) = 130*d - 62*d - q*d**2 - 68*d. Let w(x) = 4*x**2 + 17. Calculate w(a(o)).", "a": "16*o**4 + 17" }, { "q": "Let p(j) = 1 + 49*j - 1 - 3*j - 1 + 0. Let t(z) = -3*z**2. What is p(t(i))?", "a": "-138*i**2 - 1" }, { "q": "Let w(d) = -9 + 9 - 263*d + 256*d. Let u(p) be the first derivative of 2*p**3/3 + 1. Determine w(u(c)).", "a": "-14*c**2" }, { "q": "Let p(d) = 1540*d**2 + 121*d. Let g(f) = 51*f**2 + 4*f. Let i(w) = 121*g(w) - 4*p(w). Let q(o) = 63*o + 2. Calculate i(q(a)).", "a": "43659*a**2 + 2772*a + 44" }, { "q": "Let w(o) = 2*o. Let f = -227 - -231. Let t(v) = -29 + 4 + 27 - f*v**2. Give w(t(x)).", "a": "-8*x**2 + 4" }, { "q": "Let r(h) be the second derivative of 89*h**4/12 + 67*h. Let a(c) be the third derivative of c**4/24 - 35*c**2. Give a(r(q)).", "a": "89*q**2" }, { "q": "Let b(s) = 3*s. Let v(n) = 5*n. Suppose -69 = 12*c + 15. Let w(q) = c*b(q) + 4*v(q). Let a(f) = 2*f + 2. Give w(a(g)).", "a": "-2*g - 2" }, { "q": "Let l(c) = 2*c**2. Let o(u) = 367*u**2 + 2*u - 7. Let w(j) = 1094*j**2 + 7*j - 22. Let x(y) = -7*o(y) + 2*w(y). Calculate l(x(b)).", "a": "290322*b**4 - 7620*b**2 + 50" }, { "q": "Let y(k) = -10516*k**2. Let w(d) = 372*d**2. Calculate y(w(n)).", "a": "-1455246144*n**4" }, { "q": "Let p(n) = n + 3. Let u(v) be the second derivative of 1/3*v**3 + 0*v**2 - 13*v - 1. Give u(p(h)).", "a": "2*h + 6" }, { "q": "Let z be (-3)/(1 + 1*(0 - 2)). Let y(x) = z - 2*x - 3 + 19*x. Let f(q) = -q**2 + 4. Let p(r) = r**2 - 5. Let l(u) = 5*f(u) + 4*p(u). What is y(l(c))?", "a": "-17*c**2" }, { "q": "Let y(q) be the third derivative of 26*q**5/15 - 5*q**2. Let f(z) be the third derivative of z**4/12 - 12*z**2 - 2*z. Calculate y(f(i)).", "a": "416*i**2" }, { "q": "Let k(h) = -12*h + 1. Let x(s) = -97*s + 8. Let l(n) = -8*k(n) + x(n). Let p(f) be the second derivative of -179*f**4/12 - f. Calculate l(p(q)).", "a": "179*q**2" }, { "q": "Let o(k) = 23*k**2 + 3. Let i(y) = 48079*y + 3*y**2 - 48079*y. What is i(o(w))?", "a": "1587*w**4 + 414*w**2 + 27" }, { "q": "Let f(m) = 77*m**2. Let x(y) = -15554*y**2. Give f(x(a)).", "a": "18628372532*a**4" }, { "q": "Let r(q) = -2*q + 19*q + 6*q + 717 - 711. Let v(s) = 70*s + 17. Let x(o) = -17*r(o) + 6*v(o). Let u(z) = 4*z**2. Calculate x(u(a)).", "a": "116*a**2" }, { "q": "Let p(s) be the second derivative of 4*s - 1/4*s**4 + 0*s**2 + 0*s**3 - 12. Let z(u) = -22*u. What is z(p(o))?", "a": "66*o**2" }, { "q": "Let p(t) = -22*t**2 + 1588709*t - 1588709*t. Let s(z) = 23*z - 2. Determine s(p(l)).", "a": "-506*l**2 - 2" }, { "q": "Let f(x) = -119*x - 666. Let k(v) = 65*v + 334. Let n(r) = 6*f(r) + 11*k(r). Let s(d) = 5*d**2. Give s(n(a)).", "a": "5*a**2 - 3220*a + 518420" }, { "q": "Let c(b) = -20*b - 6. Let s(h) = 17*h + 5. Let p(x) = -5*c(x) - 6*s(x). Let d be (1/2)/(2/12). Let n(o) = d*o**2 + 7*o**2 + 2*o**2. What is n(p(a))?", "a": "48*a**2" }, { "q": "Let z(a) = -15894821*a. Let b(f) = 2*f. What is z(b(w))?", "a": "-31789642*w" }, { "q": "Let h(f) = 4*f**2. Let v be (-1 - 28) + 12 + -8. Let k = v + 27. Let x(r) = k*r - 31 + 31. Give h(x(z)).", "a": "16*z**2" }, { "q": "Let u(g) = 3*g**2 + g - 6. Let y(m) = 1582*m + 1. Determine y(u(j)).", "a": "4746*j**2 + 1582*j - 9491" }, { "q": "Let i(w) = 6*w - 5. Let z(j) be the first derivative of 21*j**2/2 - 18*j + 60. Let d(b) = 18*i(b) - 5*z(b). Let r(t) = -29*t**2. What is d(r(k))?", "a": "-87*k**2" }, { "q": "Let d(i) = 3*i. Suppose 2*m + 5*b - 49 = 0, 7*m + 5*b = 2*m + 115. Let c(a) = -2*a + 66*a - m*a + 12*a. Calculate d(c(y)).", "a": "162*y" }, { "q": "Let s(f) = -8*f**2 + 3*f + 3. Let p(x) = 9*x**2 - 4*x - 4. Let u(n) = -3*p(n) - 4*s(n). Let i(j) = 0*j**2 + 14*j - 4*j + 9*j**2 - 10*j. Determine u(i(b)).", "a": "405*b**4" }, { "q": "Let t(r) = -207*r. Let q(h) = 6937*h + 1. Give q(t(l)).", "a": "-1435959*l + 1" }, { "q": "Let o = -24 + 2. Let r = -13 - o. Let f(h) = r*h - h - h - 5*h. Let c(n) = -5*n**2. Calculate f(c(l)).", "a": "-10*l**2" }, { "q": "Let d(b) = -2*b. Let z(j) = 3*j**2 + 322591*j. Determine d(z(u)).", "a": "-6*u**2 - 645182*u" }, { "q": "Let z(n) be the first derivative of 0*n + 0*n**2 + 10/3*n**3 + 5. Let p(k) = -9*k**2. What is p(z(d))?", "a": "-900*d**4" }, { "q": "Let i(d) be the first derivative of -d**6/72 + 5*d**3/3 + 9*d**2/2 - 56. Let z(u) be the third derivative of i(u). Let v(m) = 16*m**2. Determine z(v(h)).", "a": "-1280*h**4" }, { "q": "Let p(r) = -r**2. Let f(y) = -19*y + 16*y + 11*y - 47*y. Determine p(f(j)).", "a": "-1521*j**2" }, { "q": "Let h(q) be the second derivative of 5*q**4/6 - 1442*q. Let i(k) = 41*k. Give i(h(d)).", "a": "410*d**2" }, { "q": "Let c(m) = 2*m - 6*m + 2*m. Let v(u) = 16*u + 6. Let y(x) = -6*x - 25*x - 13 - 10*x + 9*x. Let o(i) = -13*v(i) - 6*y(i). Give c(o(j)).", "a": "32*j" }, { "q": "Let z(a) = -a**3 + 13*a**2 + a - 11. Let f be z(13). Let o(q) = 4*q - f*q + q. Let t(w) = 5*w**2. Determine o(t(c)).", "a": "15*c**2" }, { "q": "Let s(j) = -15*j. Suppose -2*g + k = -9, 4*g - 19 = k + 2. Let c(h) = 9*h - h - g*h - 8*h. What is c(s(f))?", "a": "90*f" }, { "q": "Let k(h) = -h**3 - 2*h**2 + 2*h - 1. Let z be k(-3). Let i(m) = 0*m + z*m - 4*m. Let p(a) = a - 2645 + 2645. Calculate i(p(g)).", "a": "-2*g" }, { "q": "Let z(b) = -247*b + 70*b + 111*b + 75*b. Let h = 5 + -2. Let q(o) = -3 - o**2 + h. What is z(q(l))?", "a": "-9*l**2" }, { "q": "Let a(j) = 336*j**2. Let n(t) be the second derivative of 4*t**3/3 + 29*t + 19. Determine a(n(x)).", "a": "21504*x**2" }, { "q": "Let z(d) = -3*d + 6. Let b(m) = 38*m + 29. Let h(t) = -b(t) + 5*z(t). Let k(p) = -14*p**2. What is h(k(s))?", "a": "742*s**2 + 1" }, { "q": "Let o(u) = 19*u - 18. Let s(z) = 3*z - 3. Let n(p) = -o(p) + 6*s(p). Let y(l) = 46*l. What is n(y(f))?", "a": "-46*f" }, { "q": "Let o(b) = -b. Suppose -6*j + 36 = -0. Let k(i) = j - 12*i + 8 + 16 - 32. Give o(k(c)).", "a": "12*c + 2" }, { "q": "Let q = 211 - 209. Let p(w) = 24*w**2 + 23*w**q + 102*w**2 - 27*w**2. Let y(n) = 2*n**2. Calculate y(p(x)).", "a": "29768*x**4" }, { "q": "Let f(h) = -39*h**2. Let d = -621 - -893. Let z(u) = 272 - d + u. Give f(z(w)).", "a": "-39*w**2" }, { "q": "Let g(o) be the second derivative of -7*o**4/12 + 59*o**2/2 - o + 10. Let d(x) be the first derivative of g(x). Let q(v) = 5*v. What is q(d(n))?", "a": "-70*n" }, { "q": "Let h(y) = 46*y - 1. Let t(i) = 39811*i. What is t(h(m))?", "a": "1831306*m - 39811" }, { "q": "Let k(n) = 17*n**2 - 5*n - 25. Let j(u) = 162*u**2 - 48*u - 240. Let f(t) = -5*j(t) + 48*k(t). Let b(r) = -5*r**2. Calculate f(b(x)).", "a": "150*x**4" }, { "q": "Let k(p) = -4 - 374*p + 4 + 375*p. Let d(a) = 2*a + 1092. What is k(d(s))?", "a": "2*s + 1092" }, { "q": "Let o(h) = -6049*h**2. Let f(k) = -162*k**2 - 2. What is f(o(p))?", "a": "-5927644962*p**4 - 2" }, { "q": "Let c(y) = 2*y + 0*y - 18*y - 4*y. Let n(p) = -11*p**2. Give n(c(o)).", "a": "-4400*o**2" }, { "q": "Suppose 21*j + j = 148654. Let k(c) = c + j - 6757. Let b(u) be the third derivative of 23*u**4/12 + u**2. What is k(b(w))?", "a": "46*w" }, { "q": "Let a(z) = -28 - z - 24 - 52 + 104. Let b(t) = -311*t - 2. Calculate a(b(w)).", "a": "311*w + 2" }, { "q": "Let r(g) = -36*g + 7 + 6*g + 4 + 17*g. Let o(j) = 7*j - 6. Let b(l) = 11*o(l) + 6*r(l). Let c(w) be the third derivative of -w**5/10 + 11*w**2. Give c(b(s)).", "a": "-6*s**2" }, { "q": "Suppose -2*a + 4*l + 0 + 4 = 0, 0 = -5*l. Let n(d) = 11*d**2 + 7*d**2 + 7*d**a - 23*d**2. Let p(z) = -3*z - z - 4*z. What is n(p(w))?", "a": "128*w**2" }, { "q": "Let q(l) = 5*l. Let a(m) = 29*m. Let p(d) = -6*a(d) + 34*q(d). Let o(t) = 25*t. What is p(o(y))?", "a": "-100*y" }, { "q": "Let c(l) = -2808747*l**2. Let p(a) = 5*a**2. Determine c(p(i)).", "a": "-70218675*i**4" }, { "q": "Let n(i) = 103*i. Let t = -151 - -156. Let f(s) = 5*s - t*s - s. What is n(f(c))?", "a": "-103*c" }, { "q": "Let g(r) = 10*r. Let w(h) = -41*h. Let u(s) = 9*g(s) + 2*w(s). Let z(q) be the third derivative of q**5/20 - 1674*q**2. Calculate z(u(y)).", "a": "192*y**2" }, { "q": "Let f(w) be the second derivative of w**3/2 + 5*w**2 - 1231*w. Let r(x) = -2*x**2. Calculate f(r(y)).", "a": "-6*y**2 + 10" }, { "q": "Let l(s) = 16*s - 1. Let v(u) = 16*u - 2. Let i(n) = -2*l(n) + v(n). Let o(a) = a**2 - 1. Let w(k) = 6*k**2 - 7. Let j(q) = -21*o(q) + 3*w(q). What is j(i(p))?", "a": "-768*p**2" }, { "q": "Let h(s) = -s - 180 + 180. Let p(d) = 56*d**2 + 32*d. Let v(k) = -2*k**2 - k. Let m(j) = -3*p(j) - 96*v(j). What is m(h(r))?", "a": "24*r**2" }, { "q": "Let c(u) = 6*u**2. Let j(w) be the second derivative of -5*w**4/2 + w**3/2 - 180*w + 4. Give j(c(o)).", "a": "-1080*o**4 + 18*o**2" }, { "q": "Let t(w) = -8*w. Let o(g) = -30*g**2 + 73 - 208 + 69 + 66. Calculate t(o(j)).", "a": "240*j**2" }, { "q": "Let h(c) = -c. Let z(l) = 3 + 189*l**2 - 66*l**2 - 65*l**2 - 62*l**2. Let f(o) = -3*o**2 + 2. Let i(d) = 3*f(d) - 2*z(d). Give i(h(r)).", "a": "-r**2" }, { "q": "Let a(s) = 2*s - 2*s + s**2 + s**2. Suppose -t - 5 = -2*t, 5*t = -5*i + 3770. Let f(p) = -749*p + 7*p**2 + i*p. Give f(a(u)).", "a": "28*u**4" }, { "q": "Let k(z) = -30*z + 2. Let q(n) = -65*n + 5. Let f(w) = 10*k(w) - 4*q(w). Let i(g) = 8*g**2 + 2. What is i(f(m))?", "a": "12800*m**2 + 2" }, { "q": "Let r(s) = 138 - 72 + 1331*s**2 - 66. Let p(u) = 3*u. Calculate r(p(i)).", "a": "11979*i**2" }, { "q": "Let d(j) be the second derivative of -j**3/2 - 335*j + 1. Let y(g) = 498*g. Determine d(y(n)).", "a": "-1494*n" }, { "q": "Let z(w) be the third derivative of w**5/60 - 11*w**2. Let h(n) = -12*n + 4*n**2 - n**2 + 390 - 390. Calculate z(h(c)).", "a": "9*c**4 - 72*c**3 + 144*c**2" }, { "q": "Let q(y) = 612564*y. Let s(j) = 23*j**2. Determine s(q(f)).", "a": "8630397044208*f**2" }, { "q": "Let u(a) = 372*a. Let l(p) = p + 16893. What is u(l(k))?", "a": "372*k + 6284196" }, { "q": "Let l(a) = 11*a**2 - 1. Let o(u) = 117634*u. Give o(l(r)).", "a": "1293974*r**2 - 117634" }, { "q": "Let g(i) = -3*i. Let q = 16 - -33. Let u be q/(-35) + (-2)/(-5). Let a(z) = z**2 - 1. Let p(d) = 3*d**2 - 4. Let n(m) = u*p(m) + 4*a(m). Calculate n(g(s)).", "a": "9*s**2" }, { "q": "Let k be (-9)/(-4) - 1/4. Let g(d) = 2*d**2 + 5*d**2 - 2*d**k. Let o(n) = -4734*n - 2 + 2368*n - 2 + 2360*n + 4. Calculate g(o(a)).", "a": "180*a**2" }, { "q": "Let a(d) be the third derivative of -d**5/20 - 5*d**2. Let h(f) be the second derivative of f**4/4 - 18*f + 32. Give a(h(v)).", "a": "-27*v**4" }, { "q": "Let m(i) = 2*i + 51. Let d be m(-21). Let p(n) = -62*n + 62*n + d*n**2. Let r(x) = -2*x**2 + 5*x**2 - 2*x**2. Determine r(p(s)).", "a": "81*s**4" }, { "q": "Suppose -10*m + 2059 + 6401 = 0. Let g(p) = 846 - p - m + 3*p. Let i(v) = -22*v. Determine i(g(l)).", "a": "-44*l" }, { "q": "Let j(a) be the third derivative of a**4/24 + 2*a**3/3 - 59*a**2. Let h(u) = u + 3. Let y(z) = -4*h(z) + 3*j(z). Let s(r) = 84*r. Give s(y(i)).", "a": "-84*i" }, { "q": "Let p(s) = 4 + 3 + 90*s - 2 - 89*s - 5. Let j(r) = 3 - 6 + 2. Let w(c) = 5*c**2 + 11. Let n(f) = -44*j(f) - 4*w(f). Calculate n(p(z)).", "a": "-20*z**2" }, { "q": "Let b(z) = 17*z. Let a = -183 - -185. Let x(g) = -g**a - 17 + 27 - 10. Give b(x(f)).", "a": "-17*f**2" }, { "q": "Let n(c) be the third derivative of 3*c**4/2 + 2*c**2. Let w(u) = -4542*u**2 - 4529*u**2 + 9073*u**2. Give w(n(a)).", "a": "2592*a**2" }, { "q": "Let w(x) = -2*x**2 - 1. Let m be (0 - -1)*(-9 - 1)*5. Let l(r) = 110*r**2 + 50. Let v(f) = m*w(f) - l(f). Let z(u) = u**2. What is z(v(y))?", "a": "100*y**4" }, { "q": "Let w(a) = 8*a**2 - 2. Let z(i) = -121*i - 62. Calculate w(z(b)).", "a": "117128*b**2 + 120032*b + 30750" }, { "q": "Let i(q) = -4*q. Let a(m) = -38*m**2 + 14366. Determine i(a(o)).", "a": "152*o**2 - 57464" }, { "q": "Let g(z) = -3*z - 6*z + 7*z. Let n(l) = -3*l**2. Suppose -10 = -2*y + b + 2, 2*b + 12 = y. Let w(s) = -2*s**2. Let v(i) = y*w(i) - 3*n(i). What is v(g(p))?", "a": "4*p**2" }, { "q": "Let w(g) = -18*g. Let i(t) be the first derivative of 2*t**2 + 1023. What is w(i(l))?", "a": "-72*l" }, { "q": "Let s(k) = 2*k**2 - 23*k. Let f(a) = -a. Let w(n) = 25*n. Let r(g) = -f(g) - w(g). What is r(s(y))?", "a": "-48*y**2 + 552*y" }, { "q": "Let c(s) be the second derivative of -52*s**4 + s**2 - 901*s. Let h(y) = -2*y**2. Calculate c(h(a)).", "a": "-2496*a**4 + 2" }, { "q": "Suppose 3*o = 2*o + 2. Let y be (0 + o + -1)*(4 + -2). Let g(p) = 30*p**y - 61*p**2 + 29*p**2. Let s(b) = -22*b**2. Determine s(g(l)).", "a": "-88*l**4" }, { "q": "Let u(x) = -x**3 + 6*x**2 - 3*x - 9. Let r be u(5). Suppose p - r = 3. Let k(w) = p*w - 7*w + 9*w. Let a(z) = -2*z. Calculate k(a(n)).", "a": "-12*n" }, { "q": "Let j(s) be the second derivative of s**3/3 - 2*s. Let k(q) = 35*q + 9*q + 8*q + 66*q - 18*q. Give j(k(y)).", "a": "200*y" }, { "q": "Let n(j) = j**2. Let h = 86 + -70. Let a(m) = -46*m - h + 48*m - 7. Determine n(a(y)).", "a": "4*y**2 - 92*y + 529" }, { "q": "Let d(s) = -3859*s. Let n(z) = 595*z. What is d(n(k))?", "a": "-2296105*k" }, { "q": "Let a(w) = 85*w**2. Let s = 197 + -187. Let d(i) = s*i - 24*i + 9*i + 7*i. Calculate a(d(n)).", "a": "340*n**2" }, { "q": "Let v(g) = 14*g. Let a(w) = w**2 + 10. Let p(k) = 2*k**2 + k + 5. Let t(o) = -a(o) + 2*p(o). What is v(t(d))?", "a": "42*d**2 + 28*d" }, { "q": "Suppose -2*n - 10 = -b, -4*b - n + 76 + 9 = 0. Suppose 15*h = b*h - 35. Let p(i) = 17*i**2 - 10*i**2 - h*i**2 - 3*i**2. Let d(g) = -g**2. Calculate d(p(r)).", "a": "-9*r**4" }, { "q": "Let a(z) = -88*z**2 + 5. Let f(d) = -36*d + 0*d + 39*d. Give a(f(m)).", "a": "-792*m**2 + 5" }, { "q": "Let z(l) = 46*l**2 + 0*l + 94*l**2 + 0*l - 137*l**2. Let t(b) = -25*b**2 + 15. Calculate t(z(s)).", "a": "-225*s**4 + 15" }, { "q": "Let g(r) = 182*r - 34. Let n(l) = 32*l - 6. Let f(j) = -6*g(j) + 34*n(j). Let a(k) = -179*k**2. Give a(f(d)).", "a": "-2864*d**2" }, { "q": "Let w(k) = -1949*k**2. Let g(d) = -8*d - 2*d + 2*d + 18*d - 8*d. Give w(g(y)).", "a": "-7796*y**2" }, { "q": "Let y(c) = 5*c**2. Let w(q) be the third derivative of -2*q**2 + 3*q - 19/24*q**4 + 0*q**3 + 0. What is y(w(u))?", "a": "1805*u**2" }, { "q": "Let u(j) = -23*j + 797. Let g(r) = 442*r**2. Give u(g(x)).", "a": "-10166*x**2 + 797" }, { "q": "Let q(p) = p. Let b(f) = -1 + 31*f + 12 - 12. What is b(q(z))?", "a": "31*z - 1" }, { "q": "Let a(z) = 1180*z + 2. Let y(g) = -489*g + 2. Calculate y(a(r)).", "a": "-577020*r - 976" }, { "q": "Let f(r) be the first derivative of 17*r**3/3 - 2893. Let p(c) = c**2 - 3*c**2 + 0*c**2. Determine f(p(a)).", "a": "68*a**4" }, { "q": "Let p(v) = 7449317*v**2. Let x(k) = -4*k**2. What is x(p(j))?", "a": "-221969295065956*j**4" }, { "q": "Let z(p) = -265*p**2 + 24 + 807*p**2 - 272*p**2 - 268*p**2. Let r(x) be the third derivative of -x**5/30 - x**2. Calculate z(r(y)).", "a": "8*y**4 + 24" }, { "q": "Let n(g) = 12*g. Let w(u) = -1202430*u. Calculate n(w(z)).", "a": "-14429160*z" }, { "q": "Let s(a) = -12*a. Let w(d) = -2 - 6478*d - 6465*d + 12950*d. Determine s(w(c)).", "a": "-84*c + 24" }, { "q": "Let r(c) = 92 - 93 + 3*c - 3*c - c. Let k(w) = -8*w - 9. Let b(q) = 2*k(q) - 18*r(q). Let x(p) = 210*p**2. What is b(x(a))?", "a": "420*a**2" }, { "q": "Let l(p) = -967307*p - 4. Let d(c) = 2*c**2. What is l(d(z))?", "a": "-1934614*z**2 - 4" }, { "q": "Let g(o) = -78*o**2. Let b(j) = -52*j**2 + 8*j. Let h(z) = -33*z**2 + 5*z. Let i(x) = -5*b(x) + 8*h(x). Give i(g(u)).", "a": "-24336*u**4" }, { "q": "Let h(z) = 48*z - 3415. Let r(a) = -27*a. Determine h(r(j)).", "a": "-1296*j - 3415" }, { "q": "Suppose 4*j = 4*y + 12, 21*j - 6 = 18*j + 2*y. Let k(v) be the second derivative of -5/6*v**4 + 0*v**2 + j*v**3 + 0 - 2*v. Let m(s) = 3*s**2. What is m(k(i))?", "a": "300*i**4" }, { "q": "Let c(l) = l**2 + 1. Let m be c(1). Let i(q) = -7 - m*q**2 + 7. Let h(d) be the third derivative of -d**4/2 - 8*d**2 + 2. Give i(h(u)).", "a": "-288*u**2" }, { "q": "Let x(i) = -45*i - 1997. Let b(g) = g**2 - 14. Determine b(x(l)).", "a": "2025*l**2 + 179730*l + 3987995" }, { "q": "Let a(b) = -17*b. Let v = -149 + 154. Let t(d) = -v*d**2 + 0*d**2 + 2*d**2. Determine t(a(g)).", "a": "-867*g**2" }, { "q": "Let c be (3/2)/(10/480). Let y(k) = c*k**2 - 37*k**2 - 36*k**2. Let j(z) = 12*z**2 + 0*z**2 + 4*z**2. Calculate y(j(o)).", "a": "-256*o**4" }, { "q": "Let m(j) = -3081*j**2 + 1537*j**2 + 1545*j**2. Let t(a) = -574*a**2. Calculate t(m(x)).", "a": "-574*x**4" }, { "q": "Let c(n) = -4*n**2. Let x(s) = 8*s + 23. Let l(q) = 19*q + 41. Let p(y) = -2*l(y) + 5*x(y). What is p(c(i))?", "a": "-8*i**2 + 33" }, { "q": "Let q(m) be the second derivative of -5*m**3/3 - 1840*m. Let p(v) = -v - v + 6*v. What is q(p(h))?", "a": "-40*h" }, { "q": "Let k(v) = -21*v - 15. Let f(o) = -31*o - 21. Let i(a) = -5*f(a) + 7*k(a). Let l(q) = -86*q. What is i(l(u))?", "a": "-688*u" }, { "q": "Let t(z) be the third derivative of -z**4/24 + 4*z**2 - 217. Let w = 17 - 11. Let q(m) = -w*m + 0*m + 0*m. What is t(q(y))?", "a": "6*y" }, { "q": "Let n(l) = -1. Let t(y) = -2*y - 12. Let u(h) = -12*n(h) + t(h). Let x(o) be the first derivative of 0*o - 21/2*o**2 - 36. What is x(u(i))?", "a": "42*i" }, { "q": "Let p(l) = 173*l**2 - 2*l - 2. Let d(i) = -690*i**2 + 9*i + 9. Let q(r) = -2*d(r) - 9*p(r). Let m(s) = -4*s. Calculate m(q(c)).", "a": "708*c**2" }, { "q": "Let q(l) = -5*l. Let x(p) = 66*p - 1056. Let k be x(16). Let v(z) be the third derivative of 0 + 0*z**4 + k*z**3 + z**2 + 0*z - 1/60*z**5. Determine q(v(r)).", "a": "5*r**2" }, { "q": "Let z(m) = 313*m + 13. Let q(s) = -470*s - 21. Let h(l) = 5*q(l) + 8*z(l). Let f(r) = r**2. Give f(h(c)).", "a": "23716*c**2 - 308*c + 1" }, { "q": "Let h(w) = -4*w - 507. Let u(g) = 54*g**2 + 3*g. Calculate h(u(y)).", "a": "-216*y**2 - 12*y - 507" }, { "q": "Let h(q) = 3*q. Let l(y) = -55*y**2 - 30*y. Let w(x) = 5117*x**2 + 2795*x. Let p(d) = -559*l(d) - 6*w(d). Determine h(p(g)).", "a": "129*g**2" }, { "q": "Suppose -6 = -4*d + 2. Let m(p) = -2*p**2 - p**2 - p**2 + d*p**2. Let v(c) = 14*c. Let s(o) = 8*o. Let a(z) = 3*s(z) - 2*v(z). Give a(m(b)).", "a": "8*b**2" }, { "q": "Suppose -16*q = 3*w - 19*q - 24, -2*w = -4*q - 10. Let b(j) be the first derivative of 0*j - 1/2*j**2 - w. Let y(d) = 9*d. Give y(b(h)).", "a": "-9*h" }, { "q": "Let r(m) = 49*m**2. Let g(n) be the third derivative of -17*n**5/60 - 841*n**2. Give g(r(s)).", "a": "-40817*s**4" }, { "q": "Let m(o) = -o**2 + 1078*o + 2. Let c(i) = -4*i. Give m(c(r)).", "a": "-16*r**2 - 4312*r + 2" }, { "q": "Let x(l) = -30*l. Let z(c) = 7*c - 5. Let f(p) = -9*p + 4. Let k(q) = -5*f(q) - 6*z(q). Let w(y) = -4*y - 14. Let s(o) = 7*k(o) + 5*w(o). Calculate s(x(j)).", "a": "-30*j" }, { "q": "Let a(s) be the second derivative of -s**4/4 - 2*s - 19. Let k(c) = -7*c + 18. What is k(a(h))?", "a": "21*h**2 + 18" }, { "q": "Let r(y) = 33*y + 2. Let p(v) = -4*v + 46. Let s be p(11). Let i(l) = -2106 - s*l + 2106. What is r(i(x))?", "a": "-66*x + 2" }, { "q": "Let l(d) = -7*d**2 + 1. Let a(k) = -146370*k. Determine l(a(z)).", "a": "-149969238300*z**2 + 1" }, { "q": "Let l(u) = -2172*u**2. Let w(s) = -22*s. Let g(a) = 9*a. Let c(f) = 5*g(f) + 2*w(f). Calculate c(l(v)).", "a": "-2172*v**2" }, { "q": "Let x(q) = -q**2 - 3. Let i(p) = -6*p + p + 4*p - p + 3*p. Give x(i(m)).", "a": "-m**2 - 3" }, { "q": "Let i(y) = -193*y. Let c(v) = 90632*v**2. What is i(c(l))?", "a": "-17491976*l**2" }, { "q": "Let v(g) = -20*g**2 + 1. Let w(r) be the second derivative of -5*r**3/6 - 667*r. Give w(v(j)).", "a": "100*j**2 - 5" }, { "q": "Let x(y) = -23*y. Let r = -4 - -2. Let u be r/8 + 2/(48/102). Let k(i) = -4 + u - 69*i + 70*i. Determine k(x(n)).", "a": "-23*n" }, { "q": "Let o(k) be the first derivative of 13*k**5/60 + 3*k**2/2 - k - 76. Let y(p) be the second derivative of o(p). Let a(s) = 3*s**2. Give a(y(l)).", "a": "507*l**4" }, { "q": "Let r(z) = 17*z**2. Let w(l) = -5*l - 224 - 261 + 485. Determine r(w(u)).", "a": "425*u**2" }, { "q": "Let q(x) = -3*x**2. Let i(p) = 9 - 2*p + p**2 + 16*p**2 + 2*p + 8*p**2. Determine i(q(g)).", "a": "225*g**4 + 9" }, { "q": "Let v(k) = 273460*k. Let a(n) = n**2 + 3*n. What is a(v(b))?", "a": "74780371600*b**2 + 820380*b" }, { "q": "Let g(n) = 1751762*n. Let l(u) = 4*u**2. Give l(g(x)).", "a": "12274680418576*x**2" }, { "q": "Let g(o) = -o**2. Let r(w) = -2*w**2. Let c(h) = -5*g(h) + 3*r(h). Let u(d) = 14*d. Calculate c(u(l)).", "a": "-196*l**2" }, { "q": "Let d(i) = -5*i**2. Let p(r) = 16219*r + 5733. Let c(f) = -51*f - 18. Let l(q) = 637*c(q) + 2*p(q). Calculate l(d(b)).", "a": "245*b**2" }, { "q": "Let h(p) = -10*p**2. Suppose 2*q - 55 = a, -2*q + 10*a + 59 = 5*a. Let c(s) = 8*s - 11 + q - 16. Determine c(h(j)).", "a": "-80*j**2" }, { "q": "Let p = 32 + -20. Suppose -13*m + p*m = -2. Let n(u) = -30*u**2 + 69*u**2 - 65*u**m. Let c(a) = 2*a**2. Give n(c(i)).", "a": "-104*i**4" }, { "q": "Let q(k) be the third derivative of 17*k**5/60 + 227*k**2. Let z(d) = -7*d**2 + 2. Give z(q(w)).", "a": "-2023*w**4 + 2" }, { "q": "Let p(n) = 16*n. Let f(x) = 28*x**2 + 5*x - 5. Let t(g) = 82*g**2 + 16*g - 16. Let w(c) = 16*f(c) - 5*t(c). Determine p(w(l)).", "a": "608*l**2" }, { "q": "Let a(u) = 153*u + 15. Let p(w) = -10*w - 1. Let n(z) = 6*a(z) + 90*p(z). Let m(i) = 83*i**2. What is n(m(h))?", "a": "1494*h**2" }, { "q": "Suppose 14*v + 18 - 4 = 0. Let k(n) = 11*n**2 + 4*n. Let z(r) = 2*r. Let b(y) = v*k(y) + 2*z(y). Let c(j) = 5*j. Calculate c(b(a)).", "a": "-55*a**2" }, { "q": "Let u(g) = -g - 2*g + 0*g. Suppose 4*w = -w + 30. Let f(z) = 8 - 2 - w + 2*z**2. Determine f(u(d)).", "a": "18*d**2" }, { "q": "Let u(g) = -4*g + 3. Let o(z) be the third derivative of 17*z**4/12 + 151*z**2. Determine o(u(n)).", "a": "-136*n + 102" }, { "q": "Let i(o) = -6 + 39*o - 45*o - 1. Let c(n) = -71 - 2*n**2 + 71. Calculate c(i(b)).", "a": "-72*b**2 - 168*b - 98" }, { "q": "Let m(g) = 15*g. Let f(z) = 7*z - 8. Let q(d) = 12*d - 7. Let o(w) = -5*f(w) + 3*q(w). What is o(m(k))?", "a": "15*k + 19" }, { "q": "Let k(z) = -2*z**2. Let g(j) = 3*j + 2. Let a(b) = -21*b + 13. Let d(x) = -a(x) - 6*g(x). Determine d(k(c)).", "a": "-6*c**2 - 25" }, { "q": "Let p(j) = -2*j. Let x(b) = -3*b. Let k(w) be the second derivative of 17*w + 0 - 1/6*w**3 + 0*w**2. Let g(c) = -5*k(c) + 3*x(c). Give p(g(f)).", "a": "8*f" }, { "q": "Let v(k) = 25*k**2 + 5 - 41*k**2 + 17*k**2. Let c(l) = -l**2 - 6. Let x(s) = 5*c(s) + 6*v(s). Let y(a) be the second derivative of a**4/12 + a. What is x(y(j))?", "a": "j**4" }, { "q": "Let l(d) be the third derivative of 0*d + 6 + 0*d**3 + 0*d**4 + 2*d**2 - 1/12*d**5. Let c(a) = -12*a**2. Give c(l(f)).", "a": "-300*f**4" }, { "q": "Let p(g) = -g**2. Let v(o) be the first derivative of 2*o**3/3 + 7*o + 64. Let w(l) be the first derivative of v(l). Calculate w(p(u)).", "a": "-4*u**2" }, { "q": "Let g be (-4)/2*((-18)/12)/(-3). Let o(n) = -66*n**2 - 6*n - 3. Let d(h) = -h**2 + 2*h + 1. Let f(s) = g*o(s) - 3*d(s). Let v(b) = -2*b. Calculate v(f(x)).", "a": "-138*x**2" }, { "q": "Let f(r) = -2*r - 6. Let z(k) = -3*k**2 - 6*k - 155. Determine f(z(i)).", "a": "6*i**2 + 12*i + 304" }, { "q": "Let i(f) = 2109833*f**2. Let x(c) = -5*c**2. Determine i(x(l)).", "a": "52745825*l**4" }, { "q": "Let w(a) = -10*a**2 + 3*a. Let g(v) = -7*v**2 + 4*v. Let u(z) = -3*g(z) + 4*w(z). Let h(y) = -11*y. Give h(u(o)).", "a": "209*o**2" }, { "q": "Let y(k) = -3*k**2. Let o(c) = 1180718*c. Calculate y(o(x)).", "a": "-4182284986572*x**2" }, { "q": "Let y(i) = -3 - 7*i + 3. Let q be 4/((-6 + 5)*(-1)/6). Let l(s) = 25 + s + q - 49. What is l(y(z))?", "a": "-7*z" }, { "q": "Let s(x) = 3193 - 6382 + 2*x**2 + 3189. Let q(t) = 1254*t**2. What is s(q(m))?", "a": "3145032*m**4" }, { "q": "Let q(k) = -2*k - 3*k + 4*k. Let z(o) = 23*o + 12*o - 401 - 10*o + 401. What is z(q(f))?", "a": "-25*f" }, { "q": "Let t(z) be the third derivative of 13*z**4/12 - 1059*z**2. Let j(s) = -10*s. Give j(t(d)).", "a": "-260*d" }, { "q": "Let l(w) = -2462 + 4928 - 3*w**2 - 2466. Let d(m) = -90*m. What is d(l(c))?", "a": "270*c**2" }, { "q": "Suppose -5*d = -2*a - 20, -3*a - 2 = -2*d + 6. Let s(o) = -o + d - 9 + 1. Let m(i) = -3. Let b(n) = 4*m(n) - 3*s(n). Let w(v) = 9*v**2. Give w(b(f)).", "a": "81*f**2" }, { "q": "Let j(o) = -11*o**2. Let i(w) = 17*w - 11*w + 2 - 133*w - 2. Determine i(j(h)).", "a": "1397*h**2" }, { "q": "Let m(i) = -398*i**2. Let l(d) = 32*d**2 + 10. What is l(m(v))?", "a": "5068928*v**4 + 10" }, { "q": "Let q(v) = -36*v + 8. Let w(p) = 37*p - 9. Let z(b) = 6*q(b) + 5*w(b). Let h(l) = -30*l - l**2 - 26*l + 56*l. Give h(z(r)).", "a": "-961*r**2 + 186*r - 9" }, { "q": "Let a(t) be the second derivative of -37*t - 33*t - t**2 - 3*t**3 + 4*t**3 - 7*t. Let r(c) = -2*c. Determine a(r(q)).", "a": "-12*q - 2" }, { "q": "Let g(b) = -4*b. Let n(f) = -3*f**2 - 48033. Give n(g(r)).", "a": "-48*r**2 - 48033" }, { "q": "Let v(i) = 526*i**2 + 614*i**2 - 1139*i**2. Let b(j) = 0*j + 4 + 3*j - 8. Determine v(b(h)).", "a": "9*h**2 - 24*h + 16" }, { "q": "Let c(y) be the second derivative of 7*y**4/24 + 7*y**2/2 + y + 28. Let m(l) be the first derivative of c(l). Let t(u) = -2 - u**2 + 2. What is t(m(a))?", "a": "-49*a**2" }, { "q": "Let k(z) = 6*z. Let p(t) = -3*t + 3*t - 218763*t**2 + 219037*t**2. Determine p(k(f)).", "a": "9864*f**2" }, { "q": "Let g(t) = -8*t**2. Let z(s) = 3 + 4582*s - 13 - 4585*s. Calculate z(g(v)).", "a": "24*v**2 - 10" }, { "q": "Let j(m) be the third derivative of 7*m**4/12 + 3*m**3/2 + 31*m**2. Let g(v) = -3*v - 2. Let x(y) = -9*g(y) - 2*j(y). Let a(h) = 26*h. Determine a(x(l)).", "a": "-26*l" }, { "q": "Let t(v) = -8*v + 6. Let j(l) = 17*l - 13. Let f = -225 - -219. Let c(m) = f*j(m) - 13*t(m). Let i(g) = 44*g**2. Determine c(i(n)).", "a": "88*n**2" }, { "q": "Let c(w) be the third derivative of -w**7/1680 + w**5/15 - w**4/12 - 5*w**2. Let p(r) be the third derivative of c(r). Let k(l) = -2*l**2. Give k(p(h)).", "a": "-18*h**2" }, { "q": "Let j(v) = 23*v**2 - 28*v. Let h(n) = 39*n**2 - 48*n. Let a(q) = -7*h(q) + 12*j(q). Let c(z) = 5*z**2. Calculate c(a(x)).", "a": "45*x**4" }, { "q": "Let h(a) = -2*a**2. Let y(x) be the first derivative of 8 + 0*x**3 + 0*x**2 - 7*x + 11/12*x**4. Let b(p) be the first derivative of y(p). What is b(h(l))?", "a": "44*l**4" }, { "q": "Let w(j) be the first derivative of j**3 + 1362. Let o(t) = 774*t**2. Give o(w(i)).", "a": "6966*i**4" }, { "q": "Let w(q) be the third derivative of -q**5/20 + q**2. Let b(i) = 119*i - 15. Let s(n) = 340*n - 42. Let l(r) = 14*b(r) - 5*s(r). Determine w(l(g)).", "a": "-3468*g**2" }, { "q": "Let h(b) be the second derivative of b**4/8 + b**2 + 14*b. Let t(n) be the first derivative of h(n). Let d(l) = -40*l**2. Determine t(d(r)).", "a": "-120*r**2" }, { "q": "Let q(u) = 51*u**2 + 5*u - 5. Let h(t) = -76*t**2 - 7*t + 7. Let k(b) = 5*h(b) + 7*q(b). Let l(g) = 2*g**2 + 276594 - 276594 - 2*g + 2*g. Give l(k(i)).", "a": "1058*i**4" }, { "q": "Let h(j) = -8*j. Let t(c) = 7*c**2 - 8*c - 22. Let s be t(9). Suppose 6 - 10 = -2*l. Let g(i) = -i**l - 473*i + s*i. Give g(h(n)).", "a": "-64*n**2" }, { "q": "Let p(x) be the first derivative of -x**4/3 + 67*x + 7. Let y(m) be the first derivative of p(m). Let w(i) = -4*i. Give y(w(d)).", "a": "-64*d**2" }, { "q": "Let h(g) = -36*g**2 + 5*g + 10. Let k(x) = -44*x**2 + 4*x + 8. Let s(y) = -4*h(y) + 5*k(y). Let c(i) = 28*i**2. What is c(s(l))?", "a": "161728*l**4" }, { "q": "Let u(r) be the first derivative of -35*r**3 + 8937. Let q(k) = -k - 1. Let v(j) = -7*j - 6. Let w(m) = 6*q(m) - v(m). Give w(u(y)).", "a": "-105*y**2" }, { "q": "Suppose 1 = -y + 3. Let s(m) = -2 - y*m + 2. Let l(j) = -151153*j - 5*j**2 + 151153*j + 11*j**2. Give s(l(i)).", "a": "-12*i**2" }, { "q": "Let j(k) = -2*k. Let a(w) = 358943*w + 8. Calculate a(j(u)).", "a": "-717886*u + 8" }, { "q": "Suppose -12*n + 66 = -54. Let d(v) = 21*v**2 - 9*v**2 - n*v**2. Let w(a) = 71*a. What is d(w(p))?", "a": "10082*p**2" }, { "q": "Let g(s) = s. Let i(d) = -26391*d + 32. Calculate g(i(u)).", "a": "-26391*u + 32" }, { "q": "Let p(u) = 29*u. Let f(w) = 24*w. Let x(a) = -45*a + 55. Let l(g) = 5*g - 6. Let k(m) = -55*l(m) - 6*x(m). Let c(y) = -3*f(y) - 14*k(y). What is c(p(s))?", "a": "-58*s" }, { "q": "Let x(n) be the third derivative of -11*n**7/2520 - n**4/8 - 13*n**3/6 + 36*n**2. Let r(l) be the second derivative of x(l). Let g(y) = -3*y. Give r(g(o)).", "a": "-99*o**2" }, { "q": "Let w(g) = -10*g. Let v(d) be the third derivative of d**6/720 + 5*d**4/24 - 2*d**3/3 - 9*d**2. Let m(p) be the second derivative of v(p). Give m(w(i)).", "a": "-10*i" }, { "q": "Let t(s) = 8*s. Let y(m) = -49*m + 3. What is y(t(q))?", "a": "-392*q + 3" }, { "q": "Let y(b) = -3*b. Let m = -11 + 12. Suppose 0 = 2*k - 5 + m. Let u(d) = 11*d**k - 58*d + 58*d + 0*d**2. Give y(u(l)).", "a": "-33*l**2" }, { "q": "Let l(q) = 370*q - 140*q - 230*q - q**2. Let f(o) = -1141*o**2 + 91*o - 91. Let i(s) = 76*s**2 - 6*s + 6. Let b(n) = -6*f(n) - 91*i(n). Calculate b(l(d)).", "a": "-70*d**4" }, { "q": "Let c(n) = 174*n - 48*n - 295*n + 168*n. Let a = 0 - -1. Let b(l) = -1 + a + l. Give b(c(q)).", "a": "-q" }, { "q": "Let g(n) = -13161*n**2 - 96*n - 24. Let h(b) = -5264*b**2 - 40*b - 10. Let q(d) = 5*g(d) - 12*h(d). Let c(k) = -k**2. Give q(c(u)).", "a": "-2637*u**4" }, { "q": "Let b(u) = 24047*u - 24047*u + 2*u**2. Let d(w) = 57*w**2 + 62*w**2 - 36*w**2. Give d(b(c)).", "a": "332*c**4" }, { "q": "Let t(x) = -7*x. Let z(a) = -a**2 - 457657. Determine t(z(v)).", "a": "7*v**2 + 3203599" }, { "q": "Let c(i) = -2*i + 61. Let f(h) = 34*h - 17. Determine f(c(v)).", "a": "-68*v + 2057" }, { "q": "Let c(n) = -5*n**2 + n. Let j be -2 + 125/10 - 3/(-6). Let f(z) = -z**2 - 25*z + j*z + 14*z. What is c(f(b))?", "a": "-5*b**4 - b**2" }, { "q": "Let g(v) = 10*v - 4 + 4. Let f(s) be the second derivative of -s**3/3 + 101*s + 14. Give f(g(k)).", "a": "-20*k" }, { "q": "Let h(w) = 3164*w**2. Let u(s) = 8092*s - 8092*s - 2*s**2. What is u(h(f))?", "a": "-20021792*f**4" }, { "q": "Let k(w) = -201*w**2. Let s(p) be the third derivative of -p**5/30 - 685*p**2 + p. Determine s(k(b)).", "a": "-80802*b**4" }, { "q": "Suppose 3*w - 34 = -2*h, 40 = 2*w - 6*h + 3*h. Let d(s) = 3*s + w*s - 31*s. Let g(r) = -4*r**2. Determine d(g(p)).", "a": "56*p**2" }, { "q": "Let w(n) = -2*n. Let u(j) = 7*j. Let z(t) = 2*u(t) + 6*w(t). Let i(v) be the third derivative of 0 - 1/10*v**5 + 0*v**3 + 18*v**2 + 0*v + 0*v**4. Give i(z(l)).", "a": "-24*l**2" }, { "q": "Let n(c) = 60*c - 217*c - 78*c + 33*c - 83*c. Let l(p) = -4*p. Determine n(l(y)).", "a": "1140*y" }, { "q": "Let u(p) be the first derivative of 11*p**2 - 716. Let y(x) = 3*x**2 - 2*x**2 - x + x. Determine y(u(b)).", "a": "484*b**2" }, { "q": "Let r(d) = d**2. Let s(g) = 784 - 2663*g**2 - 1566 + 782 + 0*g**2. Calculate r(s(a)).", "a": "7091569*a**4" }, { "q": "Suppose -y = y. Let u(q) = y*q - 7*q + 20*q. Let z(j) = j. Let p(g) = -6*g. Let l(n) = 6*p(n) + 34*z(n). Calculate u(l(t)).", "a": "-26*t" }, { "q": "Let y(h) = -5*h + 37. Let p(s) = -220*s + 5. What is y(p(t))?", "a": "1100*t + 12" }, { "q": "Let u(f) = -2*f + 13. Let h(v) = -4*v + 982. Calculate u(h(r)).", "a": "8*r - 1951" }, { "q": "Let w(u) = u**2 + 23*u. Let o(s) = 51*s**2 + 7*s. Let b(r) = 36*r**2 + 5*r. Let d(v) = 7*b(v) - 5*o(v). What is w(d(f))?", "a": "9*f**4 - 69*f**2" }, { "q": "Let g(n) be the second derivative of 8*n**4/3 - n. Let a(q) = -3*q - 18. Let t(k) = 27*k + 171. Let s(u) = -19*a(u) - 2*t(u). What is g(s(v))?", "a": "288*v**2" }, { "q": "Let b(r) = -2*r. Suppose 3 + 23 = 5*f + 2*z, -4*f + 3*z + 30 = 0. Let j(q) = 9*q + 3. Let t(p) = 4*p + 2. Let w(l) = f*j(l) - 11*t(l). Determine b(w(s)).", "a": "-20*s + 8" }, { "q": "Let m(j) = j. Let p(g) = 5650342*g. What is p(m(h))?", "a": "5650342*h" }, { "q": "Let k(t) = 8*t**2. Let n(d) be the second derivative of 109*d**4/12 + 176*d + 1. Give k(n(v)).", "a": "95048*v**4" }, { "q": "Let g(r) = -6*r - 12. Let z(f) = f + 1. Let b = 92 + -95. Let s(w) = b*g(w) - 36*z(w). Let c(q) = 4 - 4 - 2*q. Give s(c(a)).", "a": "36*a" }, { "q": "Let t(c) = -93*c**2 - 15*c. Let i(q) = 80*q**2. What is t(i(h))?", "a": "-595200*h**4 - 1200*h**2" }, { "q": "Let b(r) = 6*r**2. Let a(l) = -l**3 - 15*l**2 - 28*l - 8. Let o be a(-13). Let m be (-295)/(-15) + 2/6. Let s(p) = o*p - 38*p + m*p + 3*p**2. Give b(s(x)).", "a": "54*x**4" }, { "q": "Let q(j) = -34*j**2. Let z(k) = -45667*k. Determine q(z(x)).", "a": "-70906146226*x**2" }, { "q": "Let p(m) = -15*m**2 - 4*m. Let q(d) be the first derivative of 2*d**3 + 1649. Give q(p(n)).", "a": "1350*n**4 + 720*n**3 + 96*n**2" }, { "q": "Let f(k) = -64*k**2 - 55*k**2 - 81*k**2 - 9*k + 9*k. Let u(a) = 8*a**2. Calculate f(u(c)).", "a": "-12800*c**4" }, { "q": "Suppose -4*g + c = -11, -4*g = -0*g - 4*c + 4. Suppose -l - 4*f + 144 = 3*l, 3*l + g*f - 107 = 0. Let i(u) = -l + 37 + 3*u. Let z(s) = 3*s. Give i(z(a)).", "a": "9*a" }, { "q": "Let p(t) = -13702*t - 6. Let a(y) = 9*y. Determine p(a(o)).", "a": "-123318*o - 6" }, { "q": "Let p(u) = 22 + 6 - 2*u - 28. Let y(v) = 38*v**2 - 2*v + 25*v**2 - 17*v**2. What is y(p(m))?", "a": "184*m**2 + 4*m" }, { "q": "Let y(h) = -207137 - 2*h + 207137. Let g(s) = 7*s**2 - 4. Calculate y(g(b)).", "a": "-14*b**2 + 8" }, { "q": "Let b(s) = -13*s - 2 + 101*s - 18*s - 72*s. Let a(k) = 3*k + 6. Let x(l) = -2*l - 5. Let d(h) = -5*a(h) - 6*x(h). What is d(b(r))?", "a": "6*r + 6" }, { "q": "Let k(o) = 6 - 4*o + 3 + 3 + o + 4*o. Let x(h) be the second derivative of h**3/3 - h. Calculate k(x(b)).", "a": "2*b + 12" }, { "q": "Let r(s) be the first derivative of 15*s + 14 + 0*s**2 - 1/6*s**3. Let d(n) be the first derivative of r(n). Let x(a) = 25*a**2. Determine d(x(y)).", "a": "-25*y**2" }, { "q": "Let n(y) = 17*y - 5. Let s(f) = 2*f**2 - 63*f + 8*f - 4*f**2 + 55*f. Give s(n(q)).", "a": "-578*q**2 + 340*q - 50" }, { "q": "Let q(z) = -z**2 - 61. Let r(p) = -13*p + 12. Let s(c) = -5*c + 12. Let o(b) = 2*b - 5. Let y(h) = 14*o(h) + 6*s(h). Let g(n) = r(n) - 6*y(n). Give g(q(a)).", "a": "a**2 + 61" }, { "q": "Let v(z) = -45*z + 2. Let s(y) = 631*y + 617*y + y**2 - 1248*y. Calculate v(s(x)).", "a": "-45*x**2 + 2" }, { "q": "Let o(r) = 4301*r**2 + 1064. Let s(q) = -2*q**2. Give o(s(g)).", "a": "17204*g**4 + 1064" }, { "q": "Suppose 5*l + 2*f = 50 + 16, 0 = -5*l + 3*f + 51. Suppose l = -4*r + 20. Let p(s) = 135*s - 13*s**r - 135*s. Let z(k) = -k. Calculate z(p(w)).", "a": "13*w**2" }, { "q": "Let k(m) = 20*m - 72*m + 351*m + 155*m. Let w(f) = 2*f. Give k(w(x)).", "a": "908*x" }, { "q": "Let s(h) = -136*h. Let w(z) = 25*z - 30. Let q(u) = 72*u - 80. Let o(f) = -3*q(f) + 8*w(f). Give o(s(l)).", "a": "2176*l" }, { "q": "Let q(k) = k + 51. Let h(f) = 17. Let b(w) = 7*h(w) - 2*q(w). Let z be b(6). Let i(a) = -5 + 0*a - z*a + 5. Let g(p) = 4*p**2. Determine g(i(v)).", "a": "100*v**2" }, { "q": "Let o(c) = c**2 - 13*c. Let m(q) = 12*q**2 - 143*q. Let n(x) = 2*m(x) - 22*o(x). Let j(w) = -982*w**2. Determine n(j(z)).", "a": "1928648*z**4" }, { "q": "Let z(q) = -q**2. Let b(k) = -796*k**2 - 1620. Calculate b(z(s)).", "a": "-796*s**4 - 1620" }, { "q": "Let v(a) be the third derivative of -a**5/30 + 6*a**2 + 1. Let d be 4 + (-3)/((-9)/(-6)). Let s(i) = i**2 - 5*i + 5*i - 6*i**d. Give s(v(m)).", "a": "-20*m**4" }, { "q": "Let v(h) = -4*h**2 + h - h. Let b(d) = -18*d - 63. Let u be b(-14). Let r(g) = 192*g - 385*g + u*g. Calculate r(v(c)).", "a": "16*c**2" }, { "q": "Let y(t) = -t. Let j(z) = 50*z**2 + 986*z. Let h(p) = -11*p**2 - 247*p. Let a(i) = -18*h(i) - 4*j(i). Give a(y(o)).", "a": "-2*o**2 - 502*o" }, { "q": "Let s = -8 + -36. Let o be (-154)/s + 2/(-4). Let c(v) = -1 + 4 - o + 5*v. Let j(h) = 2*h. Calculate j(c(l)).", "a": "10*l" }, { "q": "Let p(f) = -618913*f**2. Let u(y) = -22*y. What is u(p(w))?", "a": "13616086*w**2" }, { "q": "Let j(u) be the first derivative of 43 + 0*u**2 - 5 + 0*u**2 - 3*u**2. Let x(k) = 3*k**2. Calculate j(x(r)).", "a": "-18*r**2" }, { "q": "Let j(w) = 2*w - 6. Let d(f) = -7703*f**2 - 2*f. Determine j(d(t)).", "a": "-15406*t**2 - 4*t - 6" }, { "q": "Let j(q) = 35*q + 28. Let b(o) = 1689*o**2. Determine j(b(r)).", "a": "59115*r**2 + 28" }, { "q": "Let c(v) = -2*v. Let q(l) = 4150820*l**2. Determine c(q(p)).", "a": "-8301640*p**2" }, { "q": "Let d(c) = -c**2. Let l(i) = 150935*i**2 - 34. Give l(d(r)).", "a": "150935*r**4 - 34" }, { "q": "Let j(v) = -7 - 2*v**2 + 3 + 4. Let w(a) = a + 9. Let x(u) = 5*u + 18. Let z(h) = -5*w(h) + 2*x(h). Determine j(z(s)).", "a": "-50*s**2 + 180*s - 162" }, { "q": "Let u(g) = 133*g - 231. Let y(q) = -7*q + 12. Let p(d) = 4*u(d) + 77*y(d). Let z(f) be the second derivative of -f**3/2 - 15*f. Calculate z(p(k)).", "a": "21*k" }, { "q": "Let l(u) = 2*u - 4. Let h be l(5). Let w(a) = 4*a - 5*a + a + 6 - 2*a. Let t(f) = 6*f - 17. Let x(b) = h*t(b) + 17*w(b). Let s(o) = -7*o**2. Determine x(s(j)).", "a": "-14*j**2" }, { "q": "Let p(o) = 13*o. Let s(w) = -21320*w**2. Calculate s(p(m)).", "a": "-3603080*m**2" }, { "q": "Suppose 0 = -26*n + 5 + 359. Let g(v) = -n*v - 63*v**2 + 14*v. Let x(s) = 3*s. What is g(x(u))?", "a": "-567*u**2" }, { "q": "Let s(a) = -10059*a**2. Let k(v) = -4*v**2 - 88*v. What is k(s(i))?", "a": "-404733924*i**4 + 885192*i**2" }, { "q": "Let m(l) = -6*l + 8*l + 0*l - 2*l - 2*l**2. Let j(x) = 1322*x**2. What is m(j(d))?", "a": "-3495368*d**4" }, { "q": "Let x = 194 - 104. Suppose 85 = 5*b - x. Let p(s) = -s - 35 + b. Let w(z) = -3*z**2. Determine p(w(o)).", "a": "3*o**2" }, { "q": "Let n(s) be the second derivative of 5*s**4/12 - 2*s. Let y(t) = 23400 - 20*t - 23400. Give n(y(h)).", "a": "2000*h**2" }, { "q": "Let q(d) be the second derivative of 2*d**3 + 2*d**2 + 798*d. Let b(x) = -32*x. Calculate q(b(h)).", "a": "-384*h + 4" }, { "q": "Let p(i) = 30*i**2. Let b(m) = -20 - 42*m + 57 - 19 - 18. Determine p(b(k)).", "a": "52920*k**2" }, { "q": "Let s(f) be the first derivative of -6 + 49*f - 7 - 2 + f**2 + 12. Let k(v) = v**2. What is k(s(h))?", "a": "4*h**2 + 196*h + 2401" }, { "q": "Let d(q) be the first derivative of -2*q**2 + 0*q + 11 + 0*q**3 - 1/24*q**4. Let h(n) be the second derivative of d(n). Let f(m) = 2*m. What is f(h(u))?", "a": "-2*u" }, { "q": "Let g(d) be the third derivative of -d**5/30 + d**2 + 614*d. Let c(l) = 36*l + 2. Determine g(c(r)).", "a": "-2592*r**2 - 288*r - 8" }, { "q": "Let a(v) = -24*v. Let p(n) = 143786*n. What is p(a(f))?", "a": "-3450864*f" }, { "q": "Let m(r) = -5*r. Let g(x) be the second derivative of -x**7/420 - x**4/12 + 13*x**3/2 - 3*x - 8. Let y(j) be the third derivative of g(j). Give m(y(n)).", "a": "30*n**2" }, { "q": "Let f(t) = -14*t. Let i(n) = 1131384*n**2. Determine f(i(g)).", "a": "-15839376*g**2" }, { "q": "Let k(y) be the first derivative of -68 - 2/3*y**3 + 0*y**2 + 0*y. Let h(v) = 96*v**2 - 1. What is h(k(o))?", "a": "384*o**4 - 1" }, { "q": "Let n(r) = -r - 1. Let o(i) = 4*i + 3. Let m(u) = 6*n(u) + 2*o(u). Let g(b) = 119*b**2. Determine g(m(y)).", "a": "476*y**2" }, { "q": "Let p(i) = -32*i**2. Let v(b) = 5*b + 36. Let w(d) = -81*d - 594. Let z(h) = 33*v(h) + 2*w(h). Determine z(p(o)).", "a": "-96*o**2" }, { "q": "Let i(d) = 7*d - 30218. Let t(z) = z**2. What is i(t(u))?", "a": "7*u**2 - 30218" }, { "q": "Let y(g) = -12*g**2 + 131*g. Let m(o) = 19*o**2 - 197*o. Let j(c) = 5*m(c) + 8*y(c). Let u(a) = -5*a. Give u(j(d)).", "a": "5*d**2 - 315*d" }, { "q": "Let t = -12 + 14. Let h(c) = -t*c + c + c + c**2. Let r(a) be the third derivative of a**4/6 + 3*a**2 - 9. Give r(h(y)).", "a": "4*y**2" }, { "q": "Let o(f) = -2*f + 24. Let n(j) = -11*j**2 + 77*j. Let c(y) = y. Let r(a) = 77*c(a) - n(a). Determine r(o(b)).", "a": "44*b**2 - 1056*b + 6336" }, { "q": "Let s(v) = 3*v**2 + v + 1. Let w(k) = -7*k**2 - 2*k - 2. Let g(a) = 2*s(a) + w(a). Let c(d) = 16*d. Calculate c(g(l)).", "a": "-16*l**2" }, { "q": "Let v(c) = -2*c**2. Let z be ((-2)/(-4))/(3740/(-1248) + 3). Suppose 0*k + k = 2. Let n(t) = 9*t**k - 156*t + z*t. What is n(v(s))?", "a": "36*s**4" }, { "q": "Let z(m) = 11742602*m. Let r(d) = d**2. Give r(z(p)).", "a": "137888701730404*p**2" }, { "q": "Let q(m) = 144*m. Let j(a) = 30*a + 14. Determine j(q(l)).", "a": "4320*l + 14" }, { "q": "Let g(r) = -r. Let i(d) = -23*d - 48. Let y(w) = -248*w - 528. Let s(p) = 32*i(p) - 3*y(p). Determine s(g(l)).", "a": "-8*l + 48" }, { "q": "Let a(u) = -99*u**2. Let j(n) = -6447*n. What is j(a(i))?", "a": "638253*i**2" }, { "q": "Let b(l) be the third derivative of 5*l**4/24 + 3*l**3/2 + 3*l**2. Let u(q) be the first derivative of q**2 + 1042. What is b(u(s))?", "a": "10*s + 9" }, { "q": "Let z(k) = 216*k - 33. Let l(m) = -13*m + 2. Let g(o) = 66*l(o) + 4*z(o). Let j(d) = 17*d + 2. Determine j(g(n)).", "a": "102*n + 2" }, { "q": "Let u(m) = 2*m. Let g(j) = 17 - 66 + 2653*j**2 + 14 + 35. Determine g(u(b)).", "a": "10612*b**2" }, { "q": "Let r(v) = 5*v**2 - 2*v - 102 + 2*v + 102. Let i(t) be the second derivative of -t**4/12 + 16*t. Calculate r(i(a)).", "a": "5*a**4" }, { "q": "Let z(n) be the first derivative of -70*n**3 + 32*n**3 - 46 + 32*n**3. Let d(o) = -5*o**2. Give d(z(p)).", "a": "-1620*p**4" }, { "q": "Let n(b) = 24*b. Let u(z) = -10*z - 9. Let d(h) = -2*h - 2. Let k(x) = -4*x**2 + 18*x + 1. Let v be k(5). Let l(p) = v*d(p) + 2*u(p). Give n(l(q)).", "a": "-48*q" }, { "q": "Let v(q) = q. Let l(o) be the third derivative of o**4/12 - 18*o**3 + 180*o**2. Calculate v(l(d)).", "a": "2*d - 108" }, { "q": "Let t(u) be the second derivative of u**3/3 + 25*u**2/2 - 4*u + 33. Let f(o) = -6*o**2. Give t(f(h)).", "a": "-12*h**2 + 25" }, { "q": "Let r(w) be the second derivative of 0*w**2 + 0 - 23/12*w**4 + 0*w**3 - 25*w. Let s(q) = -5*q**2. Calculate s(r(d)).", "a": "-2645*d**4" }, { "q": "Let v(l) = -52041*l**2 + 44. Let p(g) = 2*g**2. Calculate v(p(f)).", "a": "-208164*f**4 + 44" }, { "q": "Suppose 5 = h + 3*b + 11, h - 2*b = 14. Let g(k) = -k + k - h*k - 2*k. Let s(m) = -5*m**2. Give s(g(t)).", "a": "-320*t**2" }, { "q": "Let l(t) = -17115*t. Let g(x) = -2*x + 15. Determine g(l(q)).", "a": "34230*q + 15" }, { "q": "Let f be -10*(-16)/(-80) + 5. Let o(h) be the second derivative of 0*h**f + 0*h**2 + 0 - 1/4*h**4 - 3*h. Let y(n) = -8*n. Calculate y(o(m)).", "a": "24*m**2" }, { "q": "Let m(a) = -9416*a - 880. Let j(k) = 129*k + 12. Let c(x) = 440*j(x) + 6*m(x). Let u(i) = 4*i. Determine c(u(h)).", "a": "1056*h" }, { "q": "Let d(h) be the first derivative of -29*h**2/2 - 1312. Let j(g) = -3*g**2 + 5*g. Give d(j(c)).", "a": "87*c**2 - 145*c" }, { "q": "Suppose 0 = -2*q + 3*w + 12, -3*q - w + 3 = 2*w. Let p(a) = -3 - 3485*a**2 + 3483*a**2 + q. Let o(l) = 79*l**2. Determine p(o(r)).", "a": "-12482*r**4" }, { "q": "Let d(m) = 20*m - 24. Let c(o) = -2*o + 3. Let n(l) = -8*c(l) - d(l). Let h(f) = 105*f**2. Calculate n(h(u)).", "a": "-420*u**2" }, { "q": "Let a(v) = 15*v. Let t(p) be the second derivative of -19*p**4/6 + 899*p. Calculate a(t(s)).", "a": "-570*s**2" }, { "q": "Let g(a) = 10*a**2. Let p(r) = -20*r**2 - 14*r + 12. Let s(j) = j**2 - j + 1. Let d(t) = p(t) - 12*s(t). Give d(g(h)).", "a": "-3200*h**4 - 20*h**2" }, { "q": "Let o(f) be the first derivative of -2 + 0*f**2 + 0*f + 4/3*f**3. Let a(g) be the third derivative of -g**5/15 + g**2. Determine a(o(q)).", "a": "-64*q**4" }, { "q": "Let v(h) = -25*h**2. Let a(x) be the first derivative of 0*x + 56 - 1/2*x**2. Calculate v(a(r)).", "a": "-25*r**2" }, { "q": "Let l(v) = -648*v - 1. Let y(r) = 2*r**2 + 46. Calculate l(y(q)).", "a": "-1296*q**2 - 29809" }, { "q": "Let m(w) = -5*w**2 - 21*w. Let h(c) = 11*c**2 + 43*c. Let s(u) = -4*h(u) - 9*m(u). Let g(a) be the second derivative of a**3/3 + 2940*a. Give g(s(d)).", "a": "2*d**2 + 34*d" }, { "q": "Let f(m) = 329*m + 1 - 1 + 459*m - 304*m. Let s(w) = -2*w. Give s(f(q)).", "a": "-968*q" }, { "q": "Let k(i) = -22*i + 4. Let p(b) = 28*b - 6. Let z(y) = -4*k(y) - 3*p(y). Let m(x) = 9*x**2. Determine z(m(a)).", "a": "36*a**2 + 2" }, { "q": "Let j(i) = -151*i. Let k(n) be the second derivative of -n**4/6 + 16*n. What is j(k(u))?", "a": "302*u**2" }, { "q": "Let o(z) = -295*z. Let b(r) = -4*r + 1917. Determine b(o(t)).", "a": "1180*t + 1917" }, { "q": "Let k(n) = 18 - 4*n + 4*n + 12*n**2 - 18. Let z(s) = 3*s - 18. Determine k(z(y)).", "a": "108*y**2 - 1296*y + 3888" }, { "q": "Let u(k) = 8*k**2. Let b(h) = -4*h - 6. Let g(t) = -20*t - 100 - 138 + 206. Let m(l) = 16*b(l) - 3*g(l). What is u(m(f))?", "a": "128*f**2" }, { "q": "Let n(d) = 15*d. Suppose 5*k - 11*k = 7*k. Let h(l) be the third derivative of 0*l + 4*l**2 + k*l**3 + 0 + 1/12*l**4. What is h(n(j))?", "a": "30*j" }, { "q": "Let d(s) = 5721*s**2. Let b(i) = -16*i. Calculate b(d(f)).", "a": "-91536*f**2" }, { "q": "Suppose -4*g + 13*g - 18 = 0. Let l(o) = 8 - 10*o**2 - 8*o**2 + 14*o**g. Let x(z) = z**2. Calculate x(l(i)).", "a": "16*i**4 - 64*i**2 + 64" }, { "q": "Let j(p) = p**2. Let b(d) = -3*d**2 - 4*d + 4. Let f(m) = 56*m**2 + 77*m - 77. Let h = -165 - -88. Let w(z) = h*b(z) - 4*f(z). Determine j(w(q)).", "a": "49*q**4" }, { "q": "Let f(n) = -n. Let v(r) = -106*r**2 + 7951*r + 2. Determine v(f(w)).", "a": "-106*w**2 - 7951*w + 2" }, { "q": "Let p(s) = -s - 1. Let v(l) = 4*l - 4. Let x(m) = -4*p(m) + v(m). Suppose 71 = 7*g + 15. Let k(y) = 8*y**2 - 20*y**2 + g*y**2 + 2*y**2. Calculate k(x(q)).", "a": "-128*q**2" }, { "q": "Let n(r) = -1. Let x(f) = -f - 3. Let v(j) = 3*n(j) - x(j). Suppose 0 = -89*t + 103*t - 70. Let p(u) = t - 6 + 12*u**2 + 1. Give p(v(d)).", "a": "12*d**2" }, { "q": "Let u(r) = -4*r**2. Let g(x) = -5979632*x. Determine u(g(c)).", "a": "-143023995421696*c**2" }, { "q": "Let h(b) be the first derivative of 7*b**2 - 15485. Suppose 2*w - 5*d - 14 = 0, 7 = 3*w + 2*d + 5. Let q(l) = l**w + 1 - 1. Calculate h(q(n)).", "a": "14*n**2" }, { "q": "Let v(b) = 6*b**2. Let y = -478 + 710. Let q(w) = -118*w**2 - 135*w**2 + y*w**2. Give v(q(h)).", "a": "2646*h**4" }, { "q": "Let l = 45 + -43. Let v(k) = -33 + 13*k**l + 33 - 11*k**2. Let w(n) = -36*n**2. Give w(v(h)).", "a": "-144*h**4" }, { "q": "Let d(h) = -7*h + 100. Let a be d(14). Suppose 3*p + 1 = 7. Let r(t) = 10*t**p + 39*t**2 + 13*t**a - 17*t**2. Let f(q) = -q. Give r(f(z)).", "a": "45*z**2" }, { "q": "Let g(p) = -39 + 39 + 2921*p - 2919*p. Let s(j) = 597*j**2 - 2*j. Give s(g(o)).", "a": "2388*o**2 - 4*o" }, { "q": "Let j(l) = 5*l. Let u be 1325/5 - (1 + (-3 - -1)). Let z(m) = -505*m + 257*m + u*m. Give j(z(i)).", "a": "90*i" }, { "q": "Let j(s) = -3*s. Let f(w) = -22*w**2 + 4*w. Suppose -2*o + 70 = 12*o. Let y(v) = 23*v**2 - 5*v. Let u(t) = o*f(t) + 4*y(t). Calculate j(u(p)).", "a": "54*p**2" }, { "q": "Let f(n) be the first derivative of -3*n**2/2 + 3*n - 98. Let q(u) = -20*u. Give q(f(s)).", "a": "60*s - 60" }, { "q": "Let n(t) be the first derivative of -t**4/6 - 31*t - 68. Let d(m) be the first derivative of n(m). Let j(u) = -u**2 + 6*u. Determine d(j(r)).", "a": "-2*r**4 + 24*r**3 - 72*r**2" }, { "q": "Suppose 12*q = 57 - 28 - 29. Let f(x) be the first derivative of -1 + 0*x**2 + q*x + 1/3*x**3. Let z(o) = 3*o. Determine f(z(m)).", "a": "9*m**2" }, { "q": "Let s(p) = 3*p. Let t(r) = -r. Let l(g) = s(g) + 5*t(g). Let z(j) be the third derivative of -5*j**4/12 - 191*j**2. Determine l(z(i)).", "a": "20*i" }, { "q": "Let k(z) = z - 10. Let p(s) = -4*s + 4. Let c(u) = 4*u - 6. Let d(t) = 2*c(t) + 3*p(t). What is k(d(g))?", "a": "-4*g - 10" }, { "q": "Let h(a) = -20*a. Let i(f) = 4*f - 105919. Determine h(i(o)).", "a": "-80*o + 2118380" }, { "q": "Let o(u) = 1617*u - 2. Let n(i) = 1938*i. Give n(o(x)).", "a": "3133746*x - 3876" }, { "q": "Let n(g) = 2*g. Let t be -1*(3 + -1 - (-10 + 11)). Let c = 4 - t. Let y(f) = c*f + f + 18*f + 3*f. What is n(y(l))?", "a": "54*l" }, { "q": "Let u(b) = 2*b**2. Let a(y) = -1 + 856*y + 1159*y + 0 - 1666*y. Determine a(u(v)).", "a": "698*v**2 - 1" }, { "q": "Let p(g) = g**2 - 19*g + 22. Let f(n) = 97*n + 1. Give f(p(i)).", "a": "97*i**2 - 1843*i + 2135" }, { "q": "Let s(n) = 646*n**2 + 1819*n. Let m(r) = 4*r. Determine s(m(t)).", "a": "10336*t**2 + 7276*t" }, { "q": "Let z(p) = -2*p. Let c(r) = 0 - 3 + 15*r - 195*r - 83*r. Calculate c(z(w)).", "a": "526*w - 3" }, { "q": "Let c be 1/(1*(-4)/(-112)). Suppose c*l - 29*l = -2. Let n(j) = -2 + 0 - j + l. Let f(g) = 26*g. Give n(f(s)).", "a": "-26*s" }, { "q": "Let o(m) = -2*m**2. Let w(i) be the third derivative of -19*i**5/40 - 9*i**3/2 - 48*i**2 - i. Let l(s) be the first derivative of w(s). Give l(o(c)).", "a": "114*c**2" }, { "q": "Let b(l) = 75*l. Let g(w) = -5*w**2 - 4182. What is b(g(d))?", "a": "-375*d**2 - 313650" }, { "q": "Let o(y) = 2*y**2. Let a(r) = 467*r**2 + 293*r**2 - 3 + 1 - 2. Calculate a(o(h)).", "a": "3040*h**4 - 4" }, { "q": "Let o(k) = -2 + 2*k**2 + 2. Let d(j) be the second derivative of 72*j + 0*j**2 + 0*j**3 + 0 + 1/12*j**4. Calculate o(d(b)).", "a": "2*b**4" }, { "q": "Suppose -91*p = -87*p - 4. Let u(y) = 148*y**2 - 142*y**2 - 1 + p. Let w(x) = -7*x**2. Calculate u(w(n)).", "a": "294*n**4" }, { "q": "Let d(t) = 13*t. Let n(x) = -565102*x**2. Give d(n(v)).", "a": "-7346326*v**2" }, { "q": "Let c(m) = 298*m + 3 - 419*m + 232*m. Let d(a) = 2*a. Calculate c(d(z)).", "a": "222*z + 3" }, { "q": "Let k(r) = 24*r**2. Let j(l) = l - 372. Calculate j(k(i)).", "a": "24*i**2 - 372" }, { "q": "Let i(a) = -3*a**2. Let n(r) = 1589057*r. What is i(n(f))?", "a": "-7575306447747*f**2" }, { "q": "Let h(n) = -3*n - 6*n + 2*n + 3*n. Let t(k) be the second derivative of 4*k - 2/3*k**4 + 0 + 0*k**2 + 0*k**3. Determine t(h(b)).", "a": "-128*b**2" }, { "q": "Let i(y) = -1 + 2 - 2*y + 2*y + y. Let f(h) = 3*h - 6. Let p(m) = -f(m) - 6*i(m). Let b(k) = -28300*k + 28300*k + 2*k**2. Determine b(p(x)).", "a": "162*x**2" }, { "q": "Let h(w) = 2104*w**2. Let m(n) = -3311*n**2. What is h(m(s))?", "a": "23065564984*s**4" }, { "q": "Let q(r) = -1113*r**2. Let f(k) be the second derivative of k**4/12 + 437*k. What is q(f(i))?", "a": "-1113*i**4" }, { "q": "Let o(m) = -m**2 + 569641*m. Let b(j) = -15*j**2. Calculate o(b(d)).", "a": "-225*d**4 - 8544615*d**2" }, { "q": "Let t(b) = 16*b. Let q(r) = -26711*r**3 - 2*r**2 - 6*r - 4. Let l be q(-1). Let n(d) = 3*d**2 - l + 26711. Determine n(t(x)).", "a": "768*x**2" }, { "q": "Let o(d) = -12*d - 10*d - 13*d + 4 + 34*d. Let m(u) = 1. Let c(p) = 4*m(p) - o(p). Let l(j) = -15*j**2 - 5*j**2 - 4*j**2. Give c(l(n)).", "a": "-24*n**2" }, { "q": "Let d(x) = 110949*x. Let j(r) = -70*r. Calculate d(j(n)).", "a": "-7766430*n" }, { "q": "Let p(k) = -315*k**2. Let r(d) be the second derivative of -d**3/3 - 1054*d. Determine r(p(f)).", "a": "630*f**2" }, { "q": "Let y(a) = 2*a**2 + 23*a - 8657. Let l(v) = -2*v. Give l(y(z)).", "a": "-4*z**2 - 46*z + 17314" }, { "q": "Let i be (-26)/39*(-8*7 + 2). Let b(r) = i - 64 + 28 + 28*r. Let l(p) = -4*p**2. Calculate b(l(d)).", "a": "-112*d**2" }, { "q": "Let a(d) = 59347*d. Let l(r) = -106*r**2. Determine a(l(n)).", "a": "-6290782*n**2" }, { "q": "Let n(i) = 4*i. Let m(d) = 180*d. Let p(t) = 167*t. Let k(u) = 7*m(u) - 8*p(u). Calculate k(n(q)).", "a": "-304*q" }, { "q": "Let a(i) = 17*i - 4. Let x be 2*(-4)/6*3. Let s(h) = 16*h - 5. Let c(q) = x*s(q) + 5*a(q). Let p(l) = 40*l - 183*l + 142*l. Calculate p(c(w)).", "a": "-21*w" }, { "q": "Let j(a) = -13698350*a**2. Let k(o) = -o. Give j(k(t)).", "a": "-13698350*t**2" }, { "q": "Suppose -9*u = -14*u. Let g(m) = u*m - 4*m - 5*m + 6 - 1. Let b(i) = 4*i - 2. Let p(k) = 5*b(k) + 2*g(k). Let t(j) = -25*j. What is p(t(f))?", "a": "-50*f" }, { "q": "Let u(k) = -k. Let y(z) = 100*z**2 - 6. Let d(w) be the third derivative of -w**5/60 - w**3/6 - w**2 + 38. Let r(o) = -6*d(o) + y(o). Determine r(u(v)).", "a": "106*v**2" }, { "q": "Let v be (5/2)/(2/52). Let b(r) = 65 - v - 6*r**2. Let c(p) = p**2 - 184*p + 184*p. Give b(c(o)).", "a": "-6*o**4" }, { "q": "Let d(l) = 6*l + 100. Let o(a) = -3*a - 60. Let j(b) = 3*d(b) + 5*o(b). Let g(v) = 63*v**2. Determine j(g(s)).", "a": "189*s**2" }, { "q": "Let b(y) = -3*y**2. Let t(s) = -317*s + 36. Let w(x) = -84640*x + 9600. Let c(m) = -800*t(m) + 3*w(m). What is b(c(g))?", "a": "-307200*g**2" }, { "q": "Let y(w) = -9365819*w. Let r(o) = -o. Calculate r(y(j)).", "a": "9365819*j" }, { "q": "Let g(h) = -133*h - 10*h**2 - 136*h + 272*h. Let q(z) be the second derivative of -z**3/3 + 11*z. Calculate q(g(p)).", "a": "20*p**2 - 6*p" }, { "q": "Let h(f) = -4*f**2. Let m(u) = -u**2 - 1. Let a(c) = 4*c**2 - 3. Let z = 32 - 44. Let l(t) = z*m(t) + 4*a(t). Determine h(l(s)).", "a": "-3136*s**4" }, { "q": "Let m(h) = 4*h - 3*h - 7*h**2 - h + 826752 - 826752. Let x(l) = 1 - 5*l + 0 + 5. Let p(i) = -9*i + 11. Let y(v) = -6*p(v) + 11*x(v). Determine y(m(n)).", "a": "7*n**2" }, { "q": "Let p(v) = -8*v**2. Let m(s) = 6*s**2 - 4*s - 1. Suppose 0 = -4*y - 11 - 1. Let f be m(y). Let c(g) = 2*g + 30 - f + 35. Calculate p(c(r)).", "a": "-32*r**2" }, { "q": "Let r(q) = 32*q**2 + q + 53. Let u(t) = -150*t. What is u(r(a))?", "a": "-4800*a**2 - 150*a - 7950" }, { "q": "Let t(g) = -6*g**2 - 1. Let j(q) = 4*q + 1. Let y(i) = 143*i + 39. Let n(s) = -39*j(s) + y(s). Determine t(n(x)).", "a": "-1014*x**2 - 1" }, { "q": "Let d(p) = 63*p. Let y(l) be the second derivative of -1/12*l**4 + 0*l**3 + 4*l + 0*l**2 - 3. Determine y(d(b)).", "a": "-3969*b**2" }, { "q": "Let p(l) = l. Let z(t) = 17617176*t**2. Calculate p(z(w)).", "a": "17617176*w**2" }, { "q": "Let f(g) = 2*g**2. Let c(d) = -140*d - 350. Suppose -4*x - 5*b = -9, 4 - 9 = -5*b. Let r(m) = -m - 2. Let l(z) = x*c(z) - 175*r(z). Give l(f(y)).", "a": "70*y**2" }, { "q": "Let u(d) = -260*d**2 + 16*d + 33. Let t(m) = 65*m**2 - 4*m - 9. Let f(j) = -11*t(j) - 3*u(j). Let p(v) = v**2. Calculate f(p(z)).", "a": "65*z**4 - 4*z**2" }, { "q": "Let j(v) = -10*v + 436 + 16*v - 436 + 10*v. Let y(h) = 22*h. Determine y(j(m)).", "a": "352*m" }, { "q": "Let j(m) = 22934951*m. Let l(y) = 2*y**2. Determine l(j(d)).", "a": "1052023954744802*d**2" }, { "q": "Let q(w) = 1681136*w. Let m(y) = -y**2. What is m(q(l))?", "a": "-2826218250496*l**2" }, { "q": "Let j(q) = 565*q. Let g(t) be the first derivative of -t**2 + 1530. Calculate g(j(y)).", "a": "-1130*y" }, { "q": "Let v(b) = -222*b**2. Let m(j) = 279*j - 1458. Let t(p) = -7*p + 36. Let s(r) = 2*m(r) + 81*t(r). Give s(v(w)).", "a": "1998*w**2" }, { "q": "Let z(j) = 6*j. Let f(h) = -2 + 3*h + 1 - 2 - h + 4. Determine f(z(c)).", "a": "12*c + 1" }, { "q": "Let r(c) = c. Let g(t) = 66*t + 3. Let v(z) = 66*z + 2. Let m be -4 + 62/14 + (-11)/(-7). Let y(j) = m*g(j) - 3*v(j). Calculate r(y(d)).", "a": "-66*d" }, { "q": "Let w(t) = t. Suppose -4 - 2 = -2*i. Let r(p) = -6 + 5*p + 1 + 1 + 5*p + 2. Let x(c) = 11*c - 3. Let f(v) = i*r(v) - 2*x(v). What is f(w(n))?", "a": "8*n" }, { "q": "Let n(x) = 20*x**2. Let d(f) = 4*f**2. Let r(c) = 16*d(c) - 3*n(c). Let j(y) = 28*y - 7. Let z be j(4). Let h(s) = 63*s + 42*s - 2*s**2 - z*s. What is r(h(m))?", "a": "16*m**4" }, { "q": "Let q(a) = -a**2. Let c = -197 - -199. Let r(u) = 16*u**2 + 62*u**2 - 10*u**c + 78*u**2. Determine q(r(s)).", "a": "-21316*s**4" }, { "q": "Let b(u) = -11*u**2 + 3 - 3. Let g(i) = -33*i + 12*i + 20*i + 6*i - 4*i. Determine b(g(p)).", "a": "-11*p**2" }, { "q": "Let m(w) = -w. Let x(h) = -315*h**2 - 210*h - 210. Let r(j) = -2*j - 2. Let s(k) = 210*r(k) - 2*x(k). What is s(m(u))?", "a": "630*u**2" }, { "q": "Let t(p) be the second derivative of 2/3*p**3 + 0*p**2 - 56*p + 0. Let a(o) = 4*o**2. What is t(a(w))?", "a": "16*w**2" }, { "q": "Let z(k) = 8*k - 20. Let o(j) = 2*j - 5. Let n(d) = -9*o(d) + 2*z(d). Let s(v) be the third derivative of v**4/24 - 471*v**2. Calculate s(n(p)).", "a": "-2*p + 5" }, { "q": "Let c = 172 - 157. Let y(b) = -c*b - 3*b + 4*b. Let g(r) = 8*r**2. Calculate y(g(z)).", "a": "-112*z**2" }, { "q": "Let u(l) = 245*l + 1. Let y(h) be the second derivative of h**4/6 + 30*h - 28. Give y(u(t)).", "a": "120050*t**2 + 980*t + 2" }, { "q": "Let j(p) = -53*p**2 + 6*p. Let b(i) = -6*i - 19. Let u be b(-3). Let x(y) = 2*y**2 - y. Let t(c) = u*j(c) - 6*x(c). Let v(s) = -4*s**2. What is v(t(h))?", "a": "-6724*h**4" }, { "q": "Let w(x) = -x**2. Let s(v) = 2*v**2 + 4624276. Give s(w(a)).", "a": "2*a**4 + 4624276" }, { "q": "Let k(l) = 4*l**2. Let i(m) = -2538*m - 189. Let r(y) = -27*y - 2. Let w(c) = 2*i(c) - 189*r(c). Calculate w(k(u)).", "a": "108*u**2" }, { "q": "Let k(d) = -3*d - 12. Let c(t) = 5 - 5 - 2 - 2. Suppose r = -5*b + 19, b - 4*r - 12 = -4. Let w(x) = b*k(x) - 12*c(x). Let s(a) = -a. Give s(w(o)).", "a": "12*o" }, { "q": "Let j(n) = -n - 26*n + 13*n - 16*n. Let f(q) = 4 - 4 + 30*q. Let o(p) = 5*f(p) + 4*j(p). Let y(x) = -x. Give y(o(a)).", "a": "-30*a" }, { "q": "Let s(y) = 677191*y. Let i(r) = 3*r. Determine i(s(b)).", "a": "2031573*b" }, { "q": "Let z(w) = -7*w. Let b(a) = -a - 1. Let x = -126 + 117. Let s(l) = -18*l - 9. Let y(d) = x*b(d) + s(d). Determine z(y(t)).", "a": "63*t" }, { "q": "Let f(u) = -3*u. Let d be 2/(-3)*81/(-6) - (-10)/(-2). Let i(l) be the second derivative of -7/6*l**3 + 0 + 0*l**2 + d*l. Give f(i(j)).", "a": "21*j" }, { "q": "Let f(x) = 3*x. Let q(p) be the third derivative of -13*p**4/6 - 5*p**3/6 - 933*p**2. Determine q(f(a)).", "a": "-156*a - 5" }, { "q": "Let d(i) = 6*i. Let p(l) = -7905*l**2 + 775. Let s(k) = -152*k**2 + 15. Let a(o) = -6*p(o) + 310*s(o). Calculate a(d(f)).", "a": "11160*f**2" }, { "q": "Let x(h) = -2*h. Let d(v) = -57*v**2 + 1346*v + 2. Determine d(x(w)).", "a": "-228*w**2 - 2692*w + 2" }, { "q": "Let k(q) = q**2. Let p(t) = 9*t**2 + 1698*t - 1925*t - 18*t**2. What is p(k(j))?", "a": "-9*j**4 - 227*j**2" }, { "q": "Let h(v) = 2*v. Let c(g) = -9*g**2 + 162*g - 27. What is c(h(a))?", "a": "-36*a**2 + 324*a - 27" }, { "q": "Let f(o) = 36*o + 31*o - 69*o. Let h(p) = -2*p**2 + 16*p. Let i(k) = 8*f(k) + h(k). Let l(g) be the third derivative of -3*g**4/8 - g**2. Determine l(i(c)).", "a": "18*c**2" }, { "q": "Let x(v) = -13*v - 16. Let j(f) = 5639*f**2. Determine x(j(t)).", "a": "-73307*t**2 - 16" }, { "q": "Let d(h) = 13956*h - 7. Let k(z) = -2*z**2 + z. What is d(k(o))?", "a": "-27912*o**2 + 13956*o - 7" }, { "q": "Let j(l) be the third derivative of -l**4/2 + 1595*l**2. Let p(w) = -2*w**2 + 12. Give p(j(g)).", "a": "-288*g**2 + 12" }, { "q": "Let m(g) = -g**2. Let s(d) = 97*d - 1618521 + 1618521. Give m(s(r)).", "a": "-9409*r**2" }, { "q": "Let r(v) = 48*v - 81. Let a(x) = 7*x - 12. Let i(h) = -27*a(h) + 4*r(h). Let u(m) = -194*m**2. Calculate u(i(z)).", "a": "-1746*z**2" }, { "q": "Let x = -15 - -25. Let i be (0 - 55/(-25))/(2/x). Let k(q) = -84 - i*q + 84. Let p(y) = y. Calculate p(k(l)).", "a": "-11*l" }, { "q": "Let h(n) be the second derivative of n**4/12 + n**2/2 - 50*n. Let g(z) = 2*z**2 + 3. Let b(s) = g(s) - 3*h(s). Let u(p) = 31*p + 2. Determine b(u(k)).", "a": "-961*k**2 - 124*k - 4" }, { "q": "Let b(y) = -36*y - 7. Let j(s) = 31*s + 6. Let k(q) = 6*b(q) + 7*j(q). Let h(r) = 22*r - 5. Let v(z) = -23*z + 6. Let g(f) = 6*h(f) + 5*v(f). Give k(g(p)).", "a": "17*p" }, { "q": "Let z(g) = -3*g**2. Let w(c) = 2*c - 1. Let j(l) be the third derivative of 7*l**4/24 - 2*l**3/3 + 65*l**2. Let k(t) = j(t) - 4*w(t). Give k(z(n)).", "a": "3*n**2" }, { "q": "Let m(h) = 199*h. Let j(a) = 75064*a. Determine m(j(d)).", "a": "14937736*d" }, { "q": "Let k(g) = 1701*g**2 + 297. Let h(o) = -23*o**2 - 4. Suppose 4 + 5 = 3*u, 3*u = 5*a + 1494. Let m(q) = a*h(q) - 4*k(q). Let f(p) = -2*p**2. Determine m(f(c)).", "a": "108*c**4" }, { "q": "Let j(i) = 16264*i**2. Let s(d) = 768*d. Determine s(j(n)).", "a": "12490752*n**2" }, { "q": "Let j(r) = -144*r. Let a(n) = 18*n + 12. Let m(h) = 5*h + 4. Let o(l) = -a(l) + 3*m(l). Give o(j(v)).", "a": "432*v" }, { "q": "Let p(f) = f**2. Let n(d) = 146*d + 5. Let r(x) = 177*x + 4. Let c(s) = -3*n(s) + 4*r(s). Calculate p(c(j)).", "a": "72900*j**2 + 540*j + 1" }, { "q": "Let j(y) = -3*y + 648410. Let k(i) = 5*i. Calculate k(j(q)).", "a": "-15*q + 3242050" }, { "q": "Let q be (8973/(-15))/(-3) - 18/45. Let u(w) = 267*w - 3 + 3 - q*w. Let k(r) = -r**2. What is u(k(m))?", "a": "-68*m**2" }, { "q": "Let s(y) = -y**3 - 16*y**2 - 29*y - 12. Let h be s(-14). Let f(i) = -26*i**h - 35*i**2 + 51*i**2. Let r(v) = -5*v**2. Give f(r(g)).", "a": "-250*g**4" }, { "q": "Let p(q) = 19*q - 8790862 + 8790862. Let f(w) = 59*w**2. Calculate f(p(x)).", "a": "21299*x**2" }, { "q": "Let p(m) = -4*m. Let w(s) = -4206188*s. What is p(w(d))?", "a": "16824752*d" }, { "q": "Let w(v) = 2*v. Let t(c) be the first derivative of -57 + 105/2*c**2 + 0*c. Determine w(t(d)).", "a": "210*d" }, { "q": "Let y(w) = 3*w - 130. Let v(x) = 36*x**2 + 14*x - 14. Let s(n) = -13*n**2 - 5*n + 5. Let j(d) = 14*s(d) + 5*v(d). Calculate j(y(t)).", "a": "-18*t**2 + 1560*t - 33800" }, { "q": "Suppose 68 - 2 = 11*q. Let a(o) = -q*o + 19*o - 12*o. Let x(i) = -41*i**2. Calculate x(a(m)).", "a": "-41*m**2" }, { "q": "Let l(a) = -21*a**2 + 5. Let n(c) = -c**2 + 1668 + 1655 - 3323. What is l(n(s))?", "a": "-21*s**4 + 5" }, { "q": "Let n(x) = 8080*x + 14. Let k(h) = -11*h**2. What is n(k(a))?", "a": "-88880*a**2 + 14" }, { "q": "Let t(c) = -18*c - 1. Let w(m) = 516*m. Give t(w(v)).", "a": "-9288*v - 1" }, { "q": "Let q(m) = 156*m. Let i(g) be the second derivative of -g**7/1260 + 2*g**4 - g**3/3 - 58*g. Let b(o) be the third derivative of i(o). Calculate q(b(s)).", "a": "-312*s**2" }, { "q": "Let g(x) = x. Suppose 4*v + 0*v = -4*v + 4*v. Let c(a) be the third derivative of v + 0*a**3 + 0*a + 11*a**2 - 1/24*a**4. What is c(g(r))?", "a": "-r" }, { "q": "Let i(d) be the third derivative of 11*d**5/60 + 10*d**2. Let j be 2 + (28 + 2)/5. Let a(y) = -8 + j + 2*y. Give i(a(n)).", "a": "44*n**2" }, { "q": "Let c(f) be the third derivative of -f**4/12 + 244*f**2 - 2. Let h(m) = m - 10. Give h(c(j)).", "a": "-2*j - 10" }, { "q": "Let u(y) = -26*y**2. Let i(r) = 476672*r + 2. What is i(u(t))?", "a": "-12393472*t**2 + 2" }, { "q": "Let w(a) = -13*a**2. Let t(f) = 20 + 26 + 0*f**2 + 1 + 13 + f**2. What is t(w(i))?", "a": "169*i**4 + 60" }, { "q": "Let t(c) = 40 + 0*c + 2*c - 8*c - 34*c - 5*c**2. Let j(n) = n - 1. Let w(g) = 200*j(g) + 5*t(g). Let z(d) = -430 + d + 430. Give z(w(p)).", "a": "-25*p**2" }, { "q": "Let z(o) = -10612227*o**2. Let f(u) = u. Give f(z(n)).", "a": "-10612227*n**2" }, { "q": "Let k(d) = -44*d. Let h(b) = -87469*b. Give h(k(c)).", "a": "3848636*c" }, { "q": "Let l(v) = -2356*v + 1069. Let x(w) = w. Calculate l(x(s)).", "a": "-2356*s + 1069" }, { "q": "Let q(c) = 3*c**2 - 9165*c + 2. Let o(z) = 3*z**2. Determine q(o(p)).", "a": "27*p**4 - 27495*p**2 + 2" }, { "q": "Let z(y) = 2*y**2 - 2*y + 2*y. Let f(m) = 2*m - 1. Let h(r) = -23*r + 11. Let i(v) = -11*f(v) - h(v). Give z(i(a)).", "a": "2*a**2" }, { "q": "Let l(d) = -216*d. Let r(p) = 182*p + 2. Give r(l(v)).", "a": "-39312*v + 2" }, { "q": "Let j(n) = -23*n - 3. Let q(f) be the third derivative of -f**5/20 - 358*f**2. Give j(q(w)).", "a": "69*w**2 - 3" }, { "q": "Let d(s) = s - s**2 - s. Let p(n) be the third derivative of 2*n**2 - 34 + 0*n + 0*n**3 + 0*n**4 - 1/60*n**5. Calculate d(p(r)).", "a": "-r**4" }, { "q": "Let i(h) = 468*h**2 - 42. Let s(w) = -55*w**2 + 5. Let d(k) = -5*i(k) - 42*s(k). Let r(g) = 292039 - 2*g + 292037 - 584076. Determine d(r(z)).", "a": "-120*z**2" }, { "q": "Let m(r) = r. Let h(l) be the second derivative of 7*l**3/6 - 29*l. Let i(p) = 4*h(p) - 35*m(p). Let s(k) = -15*k**2. Calculate s(i(x)).", "a": "-735*x**2" }, { "q": "Let n(d) = 7*d. Let z(x) be the second derivative of -9*x**3/2 + 12*x**2 + 26*x. Let i(u) = u - 1. Let l(w) = -72*i(w) - 3*z(w). Give n(l(g)).", "a": "63*g" }, { "q": "Let n(g) = 30*g**2 - 160 + 160 - 4*g**2. Let b(s) = 2*s + 14. What is b(n(m))?", "a": "52*m**2 + 14" }, { "q": "Let a(l) = -902*l + 25 - 16 + 133*l + 118*l - 11. Let p(b) = -b**2. Calculate a(p(y)).", "a": "651*y**2 - 2" }, { "q": "Suppose 0 = -g + 6*g + 5, -t + 205 = 5*g. Let c(a) = 105*a - a**2 - t*a + 105*a. Let v(m) = 21*m**2. Calculate c(v(p)).", "a": "-441*p**4" }, { "q": "Let c(n) = -726*n**2 + 176*n + 352. Let v(r) = 29*r**2 - 7*r - 14. Let s(q) = -7*c(q) - 176*v(q). Let h(j) = 2*j + 7. Give h(s(g)).", "a": "-44*g**2 + 7" }, { "q": "Let z(i) = 20*i**2. Let a(o) be the second derivative of -o**6/180 - 8*o**3/3 + o**2/2 - 44*o. Let t(y) be the second derivative of a(y). Determine t(z(b)).", "a": "-800*b**4" }, { "q": "Let p(y) be the third derivative of y**4/12 - 3*y**3/2 - 2177*y**2. Let a(k) be the second derivative of k**3/6 + 2*k. Give p(a(s)).", "a": "2*s - 9" }, { "q": "Let h(s) = 1046*s**2. Let q(l) = 17556*l. Determine h(q(p)).", "a": "322390940256*p**2" }, { "q": "Let c(z) = -262896*z. Let x(i) = -2*i**2 - 4*i. Give x(c(r)).", "a": "-138228613632*r**2 + 1051584*r" }, { "q": "Let a(x) be the third derivative of x**4/24 - 87*x**2. Let o(q) be the second derivative of 0*q**3 + 1/6*q**4 - 2*q + 0*q**2 + 0. Calculate o(a(r)).", "a": "2*r**2" }, { "q": "Let c(y) = 4*y**2. Let a(t) = 24. Let w(q) = -501*q - 98. Let s(m) = -4*a(m) - w(m). Determine s(c(p)).", "a": "2004*p**2 + 2" }, { "q": "Let t(f) = 66*f + 567. Let y(n) = 5*n + 42. Let h(c) = 2*t(c) - 27*y(c). Let b(p) = -255*p**2. Determine b(h(i)).", "a": "-2295*i**2" }, { "q": "Let q(u) = -u + 14. Let y be q(15). Let x(b) = -b**2 - 1. Let v(c) = 2*c**2 + 3. Let s(d) = y*v(d) - 3*x(d). Let p(j) = -62*j. What is s(p(i))?", "a": "3844*i**2" }, { "q": "Let o(q) = 22*q**2. Let j(g) = -1 + 2887*g + 1 - 2897*g. Determine o(j(s)).", "a": "2200*s**2" }, { "q": "Let a(s) be the second derivative of -25*s**3/6 + 3*s. Let n(b) be the first derivative of -b**3/3 - 328. Calculate a(n(w)).", "a": "25*w**2" }, { "q": "Let z(t) = -t. Let y(j) = 1155*j**2 - 36*j - 6. Let r(a) = -1157*a**2 + 30*a + 5. Let i(v) = -6*r(v) - 5*y(v). Determine z(i(k)).", "a": "-1167*k**2" }, { "q": "Let o(f) = -52*f**2. Let c(h) = -103391*h**2. Give c(o(x)).", "a": "-279569264*x**4" }, { "q": "Let r(v) = -5*v. Let q(c) = 20221*c - 40. Give r(q(j)).", "a": "-101105*j + 200" }, { "q": "Let w(n) = n**3 - 16*n**2 + 28*n + 34. Let d be w(14). Let f(v) = -38*v + d*v - 24*v. Let y(o) = -2*o**2. Give y(f(b)).", "a": "-1568*b**2" }, { "q": "Let k = 103 + -32. Let h(u) = -120 - 103 + k + u. Let b(p) = p. Give h(b(o)).", "a": "o - 152" }, { "q": "Suppose -215*o = -216*o + 2. Let f(g) = -73 + 14 - g**2 + 2*g**o - 12. Let c(q) = q**2. What is f(c(h))?", "a": "h**4 - 71" }, { "q": "Let b(s) = 26*s. Let h(t) = -2*t**2 + 4*t + 12. Let u be h(5). Let j = u + 50. Let q(p) = -65*p + j*p + 31*p. Determine b(q(n)).", "a": "-52*n" }, { "q": "Let k(z) = -z. Let n(w) = 528*w**2 + 30*w - 14. Let f(b) = 264*b**2 + 17*b - 8. Let h(a) = -7*f(a) + 4*n(a). Calculate h(k(s)).", "a": "264*s**2 - s" }, { "q": "Let r(p) = p. Let v(h) be the first derivative of 55*h**3/3 - 1097. Determine r(v(j)).", "a": "55*j**2" }, { "q": "Let f(w) = -31795219*w. Let c(x) = 2*x**2. Calculate c(f(g)).", "a": "2021871902515922*g**2" }, { "q": "Let y(w) = -30 + 143 - 73 + 230*w**2 - 40. Let h(p) = p. What is h(y(x))?", "a": "230*x**2" }, { "q": "Let h(k) = 524359*k**2 + k - 2. Let p(t) = -t. Calculate p(h(n)).", "a": "-524359*n**2 - n + 2" }, { "q": "Let u(b) = 14*b. Let t(k) = 3*k + 12. Let h(f) be the first derivative of 4*f**2 + 34*f - 2. Let p(y) = -6*h(y) + 17*t(y). Determine u(p(q)).", "a": "42*q" }, { "q": "Let d(u) = -46*u**2. Let n(y) = -13*y - 36. Let j(s) = -28*s - 90. Let b(g) = 2*j(g) - 5*n(g). Give b(d(w)).", "a": "-414*w**2" }, { "q": "Let r(f) = f**2. Let i(a) = -15*a - 71. Let m be i(-7). Let l(p) = -66 + m + 33 - 17*p. What is r(l(v))?", "a": "289*v**2 - 34*v + 1" }, { "q": "Let f(i) = -58*i. Let g(r) be the second derivative of 0*r**2 - 1/6*r**3 - 2*r + 0. Calculate g(f(o)).", "a": "58*o" }, { "q": "Let q(j) = 23*j**2 + 4. Let y(o) = 42*o**2 + 7. Let k(m) = -7*q(m) + 4*y(m). Let z(f) = 7*f**2 - 1. Give z(k(l)).", "a": "343*l**4 - 1" }, { "q": "Let g(h) = -43*h**2 + h. Let z = 137 + -133. Let b(j) = 5*j**2 + z*j**2 - 6*j**2 - j**2. What is g(b(k))?", "a": "-172*k**4 + 2*k**2" }, { "q": "Let d(b) = -217*b + 433 - 433 + 218*b. Let f(q) = 10*q - 27. Let i(h) = -7*h + 18. Let k(c) = 5*f(c) + 7*i(c). What is k(d(m))?", "a": "m - 9" }, { "q": "Let f(a) = 6*a. Let j(y) be the third derivative of -26 + 0*y**3 + 0*y**4 - y**2 + 0*y - 2/15*y**5. What is j(f(w))?", "a": "-288*w**2" }, { "q": "Let s(h) = -32 + 3*h - 2*h - 31 + 63. Let l(y) be the second derivative of 44*y**3/3 - 3*y. Give s(l(p)).", "a": "88*p" }, { "q": "Let z(w) = 2*w - 2. Let i = -107 + 109. Let t(j) = 1. Let p(y) = i*t(y) + z(y). Let r(x) = 2*x. What is p(r(v))?", "a": "4*v" }, { "q": "Let z(q) be the third derivative of -31*q**6/240 + 7*q**4/4 - 21*q**2 - 2*q. Let m(h) be the second derivative of z(h). Let n(w) = w**2. What is m(n(v))?", "a": "-93*v**2" }, { "q": "Let c(m) = 3*m - 75. Let n(w) = -5*w**2 + 3*w + 15. Let j(v) = -2*v**2 + v + 5. Let u(h) = 6*j(h) - 2*n(h). Determine u(c(p)).", "a": "-18*p**2 + 900*p - 11250" }, { "q": "Let u(w) = 40*w**2. Let l(s) = 83*s**2 - 58. Calculate l(u(v)).", "a": "132800*v**4 - 58" }, { "q": "Let v(i) be the second derivative of i**3/6 - 13*i**2/2 - 2527*i. Let n(p) = 7*p**2 + 6*p. Let m(c) = -6*c**2 - 5*c. Let u(d) = -6*m(d) - 5*n(d). Give u(v(f)).", "a": "f**2 - 26*f + 169" }, { "q": "Let w(k) = -11*k**2. Let r = 97 + -23. Let q(s) = -r*s - 76*s + 151*s. Calculate w(q(f)).", "a": "-11*f**2" }, { "q": "Let w(o) = -16*o**2 + 96066*o - 48032*o - 48034*o. Let i(l) = -35*l. Calculate i(w(h)).", "a": "560*h**2" }, { "q": "Let d(p) = 9*p**2 + 13*p + 13. Suppose 113 = -20*k - 7. Let w(h) = -2*h**2 - 3*h - 3. Let i(s) = k*d(s) - 26*w(s). Let n(j) = 17*j**2. What is i(n(m))?", "a": "-578*m**4" }, { "q": "Let t(w) be the first derivative of w**2/2 - 52. Let g(q) be the third derivative of -2*q**5/15 + q**4/24 - 39*q**2. Determine t(g(k)).", "a": "-8*k**2 + k" }, { "q": "Let f(p) = 9*p + 55. Let k(a) = 33*a + 198. Let u(o) = 18*f(o) - 5*k(o). Let w(z) = -136*z. Let t(i) = 17*i. Let d(q) = -17*t(q) - 2*w(q). Determine d(u(j)).", "a": "51*j" }, { "q": "Let l(f) = -22*f**2 + 1. Let h(s) be the third derivative of 7*s**4/8 - 604*s**2. Determine l(h(a)).", "a": "-9702*a**2 + 1" }, { "q": "Let i(b) = 10*b - 34. Let p(u) = -39*u + 153. Let z(s) = -18*i(s) - 4*p(s). Let q(l) = -46*l. Give z(q(a)).", "a": "1104*a" }, { "q": "Let t(h) = -150*h - 2. Let l(f) = -598*f - 7. Let n(p) = -3*l(p) + 11*t(p). Let c(j) = -3*j**2. Give n(c(r)).", "a": "-432*r**2 - 1" }, { "q": "Let p(g) = -882*g. Let c(l) = 180*l - 1. Calculate c(p(q)).", "a": "-158760*q - 1" }, { "q": "Let a(v) be the third derivative of 7*v**4/12 - 2*v**3/3 + 32*v**2 + 4*v. Let w(b) be the second derivative of -b**3/3 + 7*b. Determine w(a(o)).", "a": "-28*o + 8" }, { "q": "Let p(i) = 3*i. Let j(o) = -6*o**2 + 46*o - 2047. Give p(j(b)).", "a": "-18*b**2 + 138*b - 6141" }, { "q": "Suppose 0 = 3*r + 134 - 422. Let y(n) = 96 + 24*n - r. Let v(s) = 2*s + 231 - 468 + 237. Determine v(y(u)).", "a": "48*u" }, { "q": "Let a(r) = 6*r. Let b(p) = -19475*p + 16. Give a(b(k)).", "a": "-116850*k + 96" }, { "q": "Let r(k) = 35*k. Let f(c) = -15466*c - 6. Calculate r(f(x)).", "a": "-541310*x - 210" }, { "q": "Let p(c) be the third derivative of -7*c**5/30 - c**2. Let m(i) be the third derivative of i**4/8 - 7*i**2 + 80*i - 2. Give m(p(r)).", "a": "-42*r**2" }, { "q": "Let x(t) = -14*t. Let l(s) = 7*s**2 + 6*s. Let v(d) = -33*d**2 - 33*d. Let o(m) = -11*l(m) - 2*v(m). Determine o(x(y)).", "a": "-2156*y**2" }, { "q": "Let d(z) = 2*z. Suppose y = 5*b - 29, -3*y - 32 = -5*b + b. Let r = y - -9. Let j(f) = r*f - 16*f + 2*f. What is d(j(x))?", "a": "-18*x" }, { "q": "Let l(n) = -340420*n + 340420*n + 6*n**2. Let i(v) = -42*v**2 - 5. Determine i(l(k)).", "a": "-1512*k**4 - 5" }, { "q": "Let x(l) = 6*l. Let n(m) = -1503816*m**2. Give x(n(a)).", "a": "-9022896*a**2" }, { "q": "Let j(i) be the first derivative of -9 + 0*i**2 - 29/3*i**3 + 0*i. Let v(g) = -23783 + 23783 - 2*g. Determine v(j(r)).", "a": "58*r**2" }, { "q": "Let x(b) = -5595533*b. Let n(f) = 4*f. Calculate n(x(k)).", "a": "-22382132*k" }, { "q": "Let s(d) = 9044*d + 272. Let u(x) = 201*x + 6. Let w(g) = 3*s(g) - 136*u(g). Let t(i) = 68*i. Let k(h) = 7*t(h) + 2*w(h). Let v(r) = -2*r**2. Determine v(k(p)).", "a": "-9248*p**2" }, { "q": "Let f(i) = -10*i**2. Let b(u) = -u + 25. Let o be b(2). Let a(x) = -22*x + o*x - 5*x. Determine f(a(s)).", "a": "-160*s**2" }, { "q": "Let r be (6/8)/3 - (-760)/160. Suppose 5*b + 1 + 10 = -f, 5*b = -r*f + 5. Let i(o) = 2*o + f*o - 7*o - o. Let u(q) = -15*q. Give u(i(n)).", "a": "30*n" }, { "q": "Let i(j) = -j**2 + 0*j**2 + 2*j**2. Let h(a) = -65*a**2 - 2. Let q(n) = 1790*n**2 + 55. Let s(t) = -110*h(t) - 4*q(t). Give i(s(r)).", "a": "100*r**4" }, { "q": "Let w(b) = 13*b**2. Let s(v) = 2*v - 7348. Determine s(w(j)).", "a": "26*j**2 - 7348" }, { "q": "Let p(u) = -70228*u**2. Let g(z) = -213*z**2. What is g(p(i))?", "a": "-1050510032592*i**4" }, { "q": "Let z(t) be the second derivative of -t**4/12 - 941*t. Let p(j) = 1014*j. Calculate z(p(d)).", "a": "-1028196*d**2" }, { "q": "Let t(u) = 6*u. Let f(d) = -d. Let o(a) = -4*f(a) - t(a). Let y(w) be the third derivative of 17*w**5/30 + w**4/12 - 12*w**2. Determine o(y(p)).", "a": "-68*p**2 - 4*p" }, { "q": "Let k(h) = 15*h. Let w(b) = -9*b. Let c(u) = -2*k(u) - 3*w(u). Let r(q) = 93*q + 2. Determine c(r(d)).", "a": "-279*d - 6" }, { "q": "Let u(y) = -13800*y + 70*y**2 + 13800*y - 7*y**2. Let b(c) = -12*c. Determine u(b(f)).", "a": "9072*f**2" }, { "q": "Let a(w) = -16*w + 60*w**2 - 55*w**2 + 16*w. Let p(h) = 494*h**2 + 91*h - 91. Let v(l) = 11*l**2 + 2*l - 2. Let r(g) = -4*p(g) + 182*v(g). Determine r(a(z)).", "a": "650*z**4" }, { "q": "Let m(k) = -548*k**2 - 444*k**2 + 349*k**2. Let b(j) = 3*j. What is m(b(d))?", "a": "-5787*d**2" }, { "q": "Let q(d) = 40292*d**2 - d. Let t(o) = 14*o**2. Give q(t(v)).", "a": "7897232*v**4 - 14*v**2" }, { "q": "Let z(t) = -8*t. Let h(j) = -169*j + 12. Let c(d) = -73513*d + 5216. Let q(i) = 3*c(i) - 1304*h(i). What is q(z(f))?", "a": "1304*f" }, { "q": "Let c(y) = -6*y**2 + 4. Let n(i) = 516*i**2 - 38*i. Determine n(c(h)).", "a": "18576*h**4 - 24540*h**2 + 8104" }, { "q": "Let w(x) = 1243*x**2 - 15*x - 5. Let v(j) = -923548*j**2 + 11142*j + 3714. Let l(z) = 5*v(z) + 3714*w(z). Let k(a) = 2*a. Calculate k(l(o)).", "a": "-2476*o**2" }, { "q": "Let o(w) = -18*w**2. Let g(a) = -99*a**2 + 6*a + 7. What is g(o(d))?", "a": "-32076*d**4 - 108*d**2 + 7" }, { "q": "Let z(q) = -9701*q**2 - 9703*q**2 - 1 + 19373*q**2. Let r(j) = 4*j. Give r(z(m)).", "a": "-124*m**2 - 4" }, { "q": "Let h(r) = 10*r - 8*r + 0*r - 21*r. Let y(g) = 23*g. Calculate h(y(w)).", "a": "-437*w" }, { "q": "Let i(j) = 2*j**2. Let u(x) = 2*x + 5. Let v(t) = -330*t + 60. Let n(f) = -12*u(f) + v(f). Give n(i(l)).", "a": "-708*l**2" }, { "q": "Let i(g) = -19684*g + 9841*g + 9841*g. Let y(d) = -526*d. Calculate y(i(l)).", "a": "1052*l" }, { "q": "Let c(r) = -2*r. Let w(x) = -99*x + 33. Let i(m) = -35*m + 12. Let k(j) = -11*i(j) + 4*w(j). What is c(k(d))?", "a": "22*d" }, { "q": "Suppose -3*g - 48 = -39. Let m(b) = -3. Let c(n) = -n + 4. Let z(q) = g*c(q) - 4*m(q). Let d(i) = 4*i - 5*i + 0*i. What is d(z(t))?", "a": "-3*t" }, { "q": "Let i(l) = 3*l**2. Let z(f) = 128204*f**2 + 5*f - 2. Determine z(i(n)).", "a": "1153836*n**4 + 15*n**2 - 2" }, { "q": "Let p(r) = -15170*r**2 + 592. Let l(n) = -77*n**2 + 3. Let f(g) = -592*l(g) + 3*p(g). Let a(z) = 9*z**2. Give a(f(h)).", "a": "49284*h**4" }, { "q": "Let d(o) = 8*o. Let h(t) = 4*t**2 - 20*t - 20. Let p(z) = z**2 - 6*z - 6. Let q(x) = 6*h(x) - 20*p(x). Determine q(d(u)).", "a": "256*u**2" }, { "q": "Let f(u) = 23*u**2 + 13*u. Let j(t) = 5*t - 11*t - 3*t**2 + 6*t + 0*t. Give f(j(v)).", "a": "207*v**4 - 39*v**2" }, { "q": "Let l(r) = 5*r**2 - 5761*r - 109. Let o(g) = -2*g. Give l(o(h)).", "a": "20*h**2 + 11522*h - 109" }, { "q": "Let o(w) = -2*w. Let p(h) = 2*h + 23. Let j be p(-3). Let i(c) = 23*c + 13*c + j*c. What is i(o(v))?", "a": "-106*v" }, { "q": "Let a(p) = -p. Let l(f) = -11395*f + 295. Give a(l(o)).", "a": "11395*o - 295" }, { "q": "Let d(f) be the first derivative of f**2 - 4. Let j(t) = 2*t**2 - 7*t - 68. Let k(w) = 17. Let m(i) = -j(i) - 4*k(i). Determine m(d(q)).", "a": "-8*q**2 + 14*q" }, { "q": "Let b(g) = 2*g + 5. Let z(a) = 3*a + 8. Let v = 190 - 185. Let f(r) = v*z(r) - 8*b(r). Let k(l) = 5*l - 1. Give f(k(h)).", "a": "-5*h + 1" }, { "q": "Let n(r) be the third derivative of -5*r**4/24 + r**2. Let t(k) = -k**2 - 34*k - 34. Let i(m) = 6*m + 6. Let f(p) = 34*i(p) + 6*t(p). Determine n(f(u)).", "a": "30*u**2" }, { "q": "Let b(j) = j**3 - 10*j**2 - 12*j + 13. Let f be b(11). Let k(a) = -6 + 4 + 2 - a**f. Let y(t) be the second derivative of 7*t**4/12 + 7*t. Calculate y(k(d)).", "a": "7*d**4" }, { "q": "Let j(z) be the second derivative of -z**5/20 + 23*z**2/2 - 56*z. Let q(p) be the first derivative of j(p). Let g(s) = 23*s. Calculate g(q(r)).", "a": "-69*r**2" }, { "q": "Let a(q) = -2*q**2. Let i(d) = d**2 - d + 6. Let l(r) = -386*r**2 - 2*r + 12. Let x(v) = -8*i(v) + 4*l(v). What is a(x(j))?", "a": "-4817408*j**4" }, { "q": "Let h(i) = -148668*i. Let d(g) = 39*g + 1. Give d(h(q)).", "a": "-5798052*q + 1" }, { "q": "Let m(v) be the third derivative of -v**7/840 - v**4/24 - 11*v**3/2 - 22*v**2. Let l(p) be the second derivative of m(p). Let n(b) = -15*b**2. What is n(l(d))?", "a": "-135*d**4" }, { "q": "Let u(c) = 3*c**2. Let p(x) = 3846937*x**2. Give p(u(t)).", "a": "34622433*t**4" }, { "q": "Let b(c) = 36139*c**2 - 2272*c + 284. Let t(a) = -634*a**2 + 40*a - 5. Let o(w) = -5*b(w) - 284*t(w). Let p(x) = -2*x**2. Determine p(o(g)).", "a": "-816642*g**4" }, { "q": "Suppose 0 = 11*x - 7*x + 2*r - 12, 5*x = 5*r. Let b(z) be the first derivative of -3 + 0*z + 1/2*z**x. Let w(i) = 5*i**2. What is w(b(j))?", "a": "5*j**2" }, { "q": "Let r(m) = -28*m**2. Let q = 19 - 2. Let z = q + -15. Let p(i) = z*i - i + i - i. What is p(r(c))?", "a": "-28*c**2" }, { "q": "Let a(l) = -l**2. Suppose 0*d - 18 = -6*d. Let k be -1 - (12*-1)/d. Let s(h) = k + 11*h - 3 - 14*h. Give a(s(c)).", "a": "-9*c**2" }, { "q": "Let z(f) = -2*f**2. Let s(o) be the first derivative of 2968*o**3/3 + 903. Give z(s(y)).", "a": "-17618048*y**4" }, { "q": "Let i(l) = -4*l**2. Let t(o) = 16*o**2 + 25909 + 25911 - 51822. Determine t(i(g)).", "a": "256*g**4 - 2" }, { "q": "Let p(t) = -7*t - 126. Let j(g) = -43*g - 777. Let y(c) = -6*j(c) + 37*p(c). Let m(s) = -2 - 3 - 10*s**2 + 4. What is y(m(d))?", "a": "10*d**2 + 1" }, { "q": "Let w(j) = 116745 - 116745 - 1248*j. Let i(c) = 2*c**2. Determine i(w(h)).", "a": "3115008*h**2" }, { "q": "Suppose 0 = 25*o - 28*o + 30. Suppose -2*m - 16 = -o*m. Let v(j) = 2*j**2 + 0*j**m - 3*j**2 - j**2. Let d(f) = 13*f. Give v(d(r)).", "a": "-338*r**2" }, { "q": "Let a(g) be the first derivative of 5 - 2 - 10 - 13*g**2 - 9. Let r(h) = 28*h - 14*h - 13*h. Calculate r(a(v)).", "a": "-26*v" }, { "q": "Let h(i) = -288*i + 190*i + 58*i. Let b(w) = 28*w. Give h(b(f)).", "a": "-1120*f" }, { "q": "Let q(b) = -14*b**2 + b. Suppose -29*x = -25*x - 8. Let w(f) = -6*f - x*f + 12*f - 5*f. Determine w(q(m)).", "a": "14*m**2 - m" }, { "q": "Let w be (2/(-7) - 946/(-77)) + -6. Let p(l) be the second derivative of 0 + 0*l**2 - 1/3*l**3 - w*l. Let h(d) = 2*d**2. What is h(p(q))?", "a": "8*q**2" }, { "q": "Let l(i) = 2*i**2. Let q(t) = 28129181*t. Give q(l(b)).", "a": "56258362*b**2" }, { "q": "Let i(x) = -9*x - 2. Let n(s) = -18*s - 5. Let a(f) = -10*i(f) + 4*n(f). Let u(b) be the second derivative of -b**3/2 + 174*b - 3. Give a(u(p)).", "a": "-54*p" }, { "q": "Let o(n) = n**2 - 5*n. Let b = 67 + -70. Let p(w) = -2*w**2 + 4*w. Let m(h) = b*o(h) - 4*p(h). Let z(y) = 2*y**2. What is z(m(x))?", "a": "50*x**4 - 20*x**3 + 2*x**2" }, { "q": "Let v(l) = 903*l - 1795*l + 894*l. Let o(z) = -9*z**2 + 29. Determine v(o(h)).", "a": "-18*h**2 + 58" }, { "q": "Let v(m) = -m. Let h(a) = -11943955*a. Determine v(h(b)).", "a": "11943955*b" }, { "q": "Let j(h) = 90589*h - 5495. Let k(y) = -165*y + 10. Let x(b) = -2*j(b) - 1099*k(b). Let p(z) = 4*z**2. What is p(x(t))?", "a": "98596*t**2" }, { "q": "Let w(m) = 10*m + 8. Let i(c) be the second derivative of 7*c**3/6 - 93*c - 2. Give i(w(v)).", "a": "70*v + 56" }, { "q": "Let j(w) = 26*w**2 + 27*w**2 - 54*w**2. Let x(g) = -205*g**2 - 7*g - 5. Let q(r) = -102*r**2 - 4*r - 3. Let n(h) = -5*q(h) + 3*x(h). Determine j(n(y)).", "a": "-11025*y**4 - 210*y**3 - y**2" }, { "q": "Let a(k) = 208*k**2 - 335*k**2 + 124*k**2. Let i(h) = 11*h. Let r(n) = -7*n. Let b(f) = -5*i(f) - 8*r(f). Give b(a(s)).", "a": "-3*s**2" }, { "q": "Let l(g) = g. Let z(h) be the first derivative of -151*h**2/2 - 200. Determine l(z(f)).", "a": "-151*f" }, { "q": "Let u(r) = r - r + 67679*r**2 - 67723*r**2. Let p(c) = -22*c**2. What is u(p(y))?", "a": "-21296*y**4" }, { "q": "Let d(g) = 2*g + 1830. Let p(u) = 98*u + 1. Give d(p(s)).", "a": "196*s + 1832" }, { "q": "Let v(s) = 57*s**2. Let q(h) = 2*h**2 + h. Let i(c) = -10*c**2 - 6*c. Suppose -3*a + 26 = 4*j, 0 = -a - j - 2 + 10. Let d(k) = a*q(k) + i(k). What is d(v(f))?", "a": "6498*f**4" }, { "q": "Let o(p) = 26*p**2. Let c(x) = -2 - 15 + 12 - 20*x + 5. Give o(c(u)).", "a": "10400*u**2" }, { "q": "Let w(l) = -77*l. Suppose b + 2*i + i = 14, 4 = i. Let h(n) = -1260*n + 2*n**b + 1260*n. Determine w(h(k)).", "a": "-154*k**2" }, { "q": "Let f(g) = -397705*g. Let z(j) = 17*j. Give f(z(v)).", "a": "-6760985*v" }, { "q": "Let v(x) = -192*x + 166*x + 31*x. Let w(t) = 9*t**2. Calculate w(v(r)).", "a": "225*r**2" }, { "q": "Let l(r) = 4*r**2 + 23782*r + 1. Let k(p) = -2*p. Calculate l(k(v)).", "a": "16*v**2 - 47564*v + 1" }, { "q": "Let i(k) = -5*k**2. Let r(l) be the first derivative of 1/6*l**3 + 0*l**2 + 17 - 14*l. Let f(m) be the first derivative of r(m). Determine f(i(g)).", "a": "-5*g**2" }, { "q": "Let v(q) = -19441*q. Let i(w) = w**2 + 111*w. What is v(i(s))?", "a": "-19441*s**2 - 2157951*s" }, { "q": "Let i(u) = -32*u + 55*u - 1 - 3 - 28*u. Let z(d) = -11*d - 9. Let q(h) = 9*i(h) - 4*z(h). Let a(k) = -97*k**2. Determine a(q(f)).", "a": "-97*f**2" }, { "q": "Let a(w) = -4*w**2. Let x(m) = 3579*m**2 + 3507*m**2 - 11230*m**2 + 3794*m**2. Calculate a(x(r)).", "a": "-490000*r**4" }, { "q": "Let p(o) = 12 - 3 - 1 - 4*o. Let g(w) = 4*w - 10. Let k(n) = -4*g(n) - 5*p(n). Let c(q) = 12*q**2. Calculate c(k(m)).", "a": "192*m**2" }, { "q": "Let y(b) = -4*b. Let w(r) = -3*r - 24*r + 14*r + 43 + 14*r. Calculate y(w(c)).", "a": "-4*c - 172" }, { "q": "Let k(v) = -13*v. Let m(a) = 79*a**2 - 14. Let x(i) = -28*i**2 + 5. Let z(w) = -6*m(w) - 17*x(w). Determine z(k(q)).", "a": "338*q**2 - 1" }, { "q": "Let q(v) = 40*v + 30. Let r(s) = -10*s - 7. Let t(h) = -7*q(h) - 30*r(h). Let g(o) = -o + 4. Give g(t(i)).", "a": "-20*i + 4" }, { "q": "Let z(y) = 6*y**2 - 204. Let g(m) be the first derivative of -2*m**3/3 - 242. Determine g(z(w)).", "a": "-72*w**4 + 4896*w**2 - 83232" }, { "q": "Let h(z) = -3*z + 5*z + 4*z - z. Let u(r) = -3*r - 7*r + 4*r. Let a(s) = -3*h(s) - 2*u(s). Let d(f) = -3*f**2. Determine a(d(n)).", "a": "9*n**2" }, { "q": "Let v(h) = -18*h**2 + 33*h - 66. Let b(f) = f**2 - 2*f + 4. Let p(n) = -33*b(n) - 2*v(n). Let l(u) = -u + 247. Determine l(p(c)).", "a": "-3*c**2 + 247" }, { "q": "Let g(h) = -3*h**2 + 9*h. Suppose 0*w - 5*b = -w + 20, 4*w - 190 = -2*b. Let f(k) = k + 2105 - 2105. Let o(d) = w*f(d) - 5*g(d). Let q(i) = i. Give o(q(p)).", "a": "15*p**2" }, { "q": "Let t(z) = -2054*z. Let m(s) = -26*s + 78*s - 13*s - 19*s - 21*s. Determine m(t(p)).", "a": "2054*p" }, { "q": "Let q(s) = -62*s. Let b(t) be the first derivative of 13*t**2 + 1021. Calculate b(q(p)).", "a": "-1612*p" }, { "q": "Let f(i) = -2*i**2. Suppose -6*x + x + 15 = 0. Suppose -5*d + 0*r - x*r = -91, -5*d + 4*r + 77 = 0. Let z(m) = -d - m + 17. What is f(z(c))?", "a": "-2*c**2" }, { "q": "Let q(j) = 13*j. Let h(l) be the second derivative of 7*l**4/24 - 29*l**2 - 14*l - 1. Let k(c) be the first derivative of h(c). Give q(k(z)).", "a": "91*z" }, { "q": "Let a(k) = -19*k - 16. Let x(o) = 7*o + 6. Let b(z) = -3*a(z) - 8*x(z). Let u(s) = 22*s**2 + 1. Calculate b(u(g)).", "a": "22*g**2 + 1" }, { "q": "Let u(q) = -350*q**2. Let s(o) = 18283*o - 9142*o - 9136*o. Give s(u(n)).", "a": "-1750*n**2" }, { "q": "Let o(c) be the first derivative of -4*c**3/3 + 3749. Let t(x) be the first derivative of -17*x**3/3 + 1. What is o(t(b))?", "a": "-1156*b**4" }, { "q": "Let u(v) = -2554*v. Let m(i) be the third derivative of -i**5/60 - 592*i**2. What is m(u(g))?", "a": "-6522916*g**2" }, { "q": "Let i(c) = 2*c**2. Let v(a) = -1238*a - 11. Let b(q) = 619*q + 5. Let x(s) = 7*b(s) + 3*v(s). Determine x(i(o)).", "a": "1238*o**2 + 2" }, { "q": "Let l(x) = -3298*x. Let c(a) = 1872*a**2. Calculate c(l(y)).", "a": "20361377088*y**2" }, { "q": "Let x(o) = 14*o. Let y(f) = -79309*f. Determine x(y(r)).", "a": "-1110326*r" }, { "q": "Let y(z) = 262*z**2 + 516*z - 4. Let s(x) = -2*x. Calculate s(y(n)).", "a": "-524*n**2 - 1032*n + 8" }, { "q": "Let k(y) = y**2 - 306*y. Let s(i) = 3*i - 72. Let t(p) = p - 18. Let f(a) = -s(a) + 4*t(a). Give f(k(r)).", "a": "r**2 - 306*r" }, { "q": "Let z(k) = -53*k**2. Let u(h) = 12*h**2 - 3*h + 128. Determine u(z(w)).", "a": "33708*w**4 + 159*w**2 + 128" }, { "q": "Let y(s) = -2*s - 436. Let h(j) be the second derivative of 2*j**3/3 + 92*j + 7. Determine y(h(q)).", "a": "-8*q - 436" }, { "q": "Let j(s) = 2*s. Let p(t) be the first derivative of 72*t**2 - 23*t**2 - 1 + 6*t**2. Calculate j(p(y)).", "a": "220*y" }, { "q": "Let d(o) = -183*o**2. Let l(m) = 228*m - 127*m - 103*m. What is l(d(n))?", "a": "366*n**2" }, { "q": "Let t(x) = 9*x. Let c(v) = -11*v. Let u(b) = -4*c(b) - 5*t(b). Let k(h) = h - 1. Let p(n) = 24*n**2 + 5*n - 4. Let d(f) = 10*k(f) - 2*p(f). What is u(d(g))?", "a": "48*g**2 + 2" }, { "q": "Let r(l) = -12232*l. Let c(t) = -191*t**2. What is r(c(u))?", "a": "2336312*u**2" }, { "q": "Let w(m) = -3*m. Let u(c) be the first derivative of 535*c**2/2 - 113. What is w(u(t))?", "a": "-1605*t" }, { "q": "Let y(w) = 4*w**2. Let o(q) = 11*q + 8. Let c(b) = 22*b + 18. Let h = 45 - 41. Let g(n) = h*c(n) - 9*o(n). Give y(g(l)).", "a": "484*l**2" }, { "q": "Let g(p) = -5*p + 27. Let j(i) = -17*i - 4. Let z(r) = 5*r + 1. Let x(n) = 2*j(n) + 7*z(n). Let h(m) = g(m) + 6*x(m). Let t(k) = 2*k. What is h(t(s))?", "a": "2*s + 21" }, { "q": "Let q(x) = -2*x. Let j(r) be the first derivative of r**2 - 11*r - 17. Let d be j(6). Let w(b) = -36*b + 34*b - 1 + d. What is w(q(o))?", "a": "4*o" }, { "q": "Let g(s) be the first derivative of 9 + 0*s + 0*s**3 - 13/2*s**2 + 1/6*s**4. Let d(i) be the second derivative of g(i). Let t(q) = -6*q**2. Calculate t(d(b)).", "a": "-96*b**2" }, { "q": "Let r(v) = -v**2 + 7*v - 5. Let m be r(4). Let q(z) = m*z + 6*z - 15*z. Let b(i) be the second derivative of 43*i**3/6 + 48*i - 1. What is b(q(t))?", "a": "-86*t" }, { "q": "Let i(x) = -2*x - 144. Let z(t) = -2*t - 168. Let o(w) = 7*i(w) - 6*z(w). Let d(j) = -253*j - 1. Give d(o(c)).", "a": "506*c - 1" }, { "q": "Let b = -28 + 30. Suppose y = -b*x - 6, y = 4*y + 5*x + 15. Let j(u) = 0*u**2 + u**2 + y*u**2. Let p(c) = 12*c**2. What is p(j(t))?", "a": "12*t**4" }, { "q": "Let j(p) = 6*p. Let z = 5 + -3. Let f = -122 - -155. Let u(t) = 33 - f - 2*t**z. Determine j(u(d)).", "a": "-12*d**2" }, { "q": "Let i(v) = -v. Let s(d) = 6*d**2 + d - 1. Let t(c) = -37*c**2 + 2810*c + 6. Let u(q) = -6*s(q) - t(q). Give i(u(f)).", "a": "-f**2 + 2816*f" }, { "q": "Let p(r) be the third derivative of -r**4/24 - 42*r**2. Let y = 7 - 5. Let k(w) = -3*w**2 + 4*w**2 + w**y + 0*w**2. Give p(k(b)).", "a": "-2*b**2" }, { "q": "Let v(i) = -4*i**2 + 4*i - 32. Let k(o) = -476*o. Give v(k(s)).", "a": "-906304*s**2 - 1904*s - 32" }, { "q": "Let y(a) = -4*a**2. Let s(q) = 124*q + 0*q**2 + 146*q - 290*q + q**2. Give s(y(h)).", "a": "16*h**4 + 80*h**2" }, { "q": "Let u(a) be the third derivative of a**5/20 + a**2 + 13. Let j(t) = 25*t - 3*t - 34 + 34. Calculate u(j(v)).", "a": "1452*v**2" }, { "q": "Let i(o) = 123*o + 6. Let f(p) = 123*p + 5. Let d(q) = 9*f(q) - 8*i(q). Let h(t) = 2*t**2. What is h(d(u))?", "a": "30258*u**2 - 1476*u + 18" }, { "q": "Let x(i) be the third derivative of -i**4/12 + i**2. Let h(c) = 50096*c - 25007*c - 25081*c. Calculate h(x(p)).", "a": "-16*p" }, { "q": "Let b(t) = -2*t**2 + 591*t + 403. Let f(d) = -5*d. Determine b(f(j)).", "a": "-50*j**2 - 2955*j + 403" }, { "q": "Let s(f) = -5*f**2. Let w(m) = -568409*m. What is w(s(d))?", "a": "2842045*d**2" }, { "q": "Let c(j) = 858*j - 52. Let z(d) = -16*d + 1. Let o(g) = c(g) + 52*z(g). Let l(x) = 13*x - 2. Give o(l(y)).", "a": "338*y - 52" }, { "q": "Let f(s) = -1 + 4*s + 1 - 3*s. Let z(u) be the third derivative of 7*u**5/60 - u**3 + 55*u**2 + 23*u. Calculate f(z(n)).", "a": "7*n**2 - 6" }, { "q": "Let x(s) = -11*s**2 - 272*s - 69. Let m(p) = -3*p**2 - 68*p - 18. Let r(g) = -23*m(g) + 6*x(g). Let z(d) = -2*d. Calculate r(z(u)).", "a": "12*u**2 + 136*u" }, { "q": "Let z(m) be the third derivative of m**5/15 + m**3 + m**2. Let t(x) be the first derivative of z(x). Let n(s) = -29*s - 24*s + 57*s. Determine t(n(c)).", "a": "32*c" }, { "q": "Let p(o) be the second derivative of o**5/15 + 9*o**2/2 + 13*o. Let u(s) be the first derivative of p(s). Let w(r) = -41*r. What is u(w(v))?", "a": "6724*v**2" }, { "q": "Let m(u) = 8*u + 55. Let y(p) = -54*p - 3. What is m(y(a))?", "a": "-432*a + 31" }, { "q": "Let h(x) = 93 + 88 - 267 + 61*x + 86. Let y(s) = -33*s**2. Determine h(y(g)).", "a": "-2013*g**2" }, { "q": "Let t(q) = 197*q**2. Let c(g) be the third derivative of -g**5/10 - 507*g**2. Give t(c(h)).", "a": "7092*h**4" }, { "q": "Let c(n) = 102*n + 77*n + 97*n. Let m(h) = -h**2. Give c(m(l)).", "a": "-276*l**2" }, { "q": "Let q(s) be the second derivative of 0*s**2 + 0*s**3 + 0 - 3*s + 1/6*s**4. Let r(z) = 5*z**2 - z**2 + 8*z**2 - 3*z**2. Determine q(r(f)).", "a": "162*f**4" }, { "q": "Let o(r) = -r**2 - 3*r. Let y(a) = -2*a**2 - 9*a. Let z(k) = -3*o(k) + y(k). Let g(d) = -5*d**2 + 5. Calculate z(g(v)).", "a": "25*v**4 - 50*v**2 + 25" }, { "q": "Let z(h) = 5*h**2. Let d(c) = -c**2 + 16*c + 612. Let m be d(34). Let o(l) be the third derivative of 0 + 1/24*l**4 - 17*l**2 + m*l + 0*l**3. What is z(o(v))?", "a": "5*v**2" }, { "q": "Let g(k) = -5*k**2. Let d(m) be the third derivative of -m**5/10 + m**4/12 - 12*m**2 + 14. Calculate g(d(q)).", "a": "-180*q**4 + 120*q**3 - 20*q**2" }, { "q": "Let x(z) be the first derivative of 2*z**2 + 265. Let i(q) = 82*q**2. Give x(i(v)).", "a": "328*v**2" }, { "q": "Let s(l) = 7*l + 0*l + 31*l. Let b(o) = -4263*o**2 + 17034*o**2 - 4257*o**2 - 4257*o**2 - 4255*o**2. What is b(s(j))?", "a": "2888*j**2" }, { "q": "Let c(y) = y - 27. Let f(g) = -813*g + 21. Give c(f(h)).", "a": "-813*h - 6" }, { "q": "Let n(w) be the third derivative of -23*w**4/24 - w**3/3 - 67*w**2 + 4*w. Let s(l) = l. Give s(n(q)).", "a": "-23*q - 2" }, { "q": "Let k(q) = -166*q. Let n(x) = -x**2 - 4*x - 2. Let z(s) = -6*s**2 - 56*s - 28. Let r(b) = 14*n(b) - z(b). What is k(r(l))?", "a": "1328*l**2" }, { "q": "Let u(h) = 15*h**2. Let p(k) = 712971*k**2. Calculate u(p(l)).", "a": "7624914702615*l**4" }, { "q": "Let d(k) = -4*k**2 + 10. Let m(r) = r**2 - 2. Let s(b) = d(b) + 5*m(b). Let c(t) = 31*t. What is s(c(p))?", "a": "961*p**2" }, { "q": "Let r(h) = 11*h. Let i(m) = 755699*m**2. Determine r(i(d)).", "a": "8312689*d**2" }, { "q": "Let h(q) = 266326*q**2 + 1830*q - 1830. Let d(y) = -1163*y**2 - 8*y + 8. Let r(i) = 915*d(i) + 4*h(i). Let l(j) = -2*j**2. What is r(l(k))?", "a": "4636*k**4" }, { "q": "Let y(i) = -5*i. Let l(b) = 7320*b**2 + 7326*b**2 - 210*b - 14645*b**2. Calculate y(l(m)).", "a": "-5*m**2 + 1050*m" }, { "q": "Let h(u) be the third derivative of 1/30*u**5 + 0*u**4 + 0*u + 0 - 41*u**2 + 0*u**3. Let j(s) = 92*s. Give j(h(f)).", "a": "184*f**2" }, { "q": "Let l(d) = 10*d**2. Let h(r) = -96*r + 13. Let f(o) = -48*o + 6. Let j(s) = 9*f(s) - 4*h(s). Determine j(l(q)).", "a": "-480*q**2 + 2" }, { "q": "Let v(n) = 48161*n**2. Let h(w) = 157*w. What is h(v(i))?", "a": "7561277*i**2" }, { "q": "Let f(k) = -k + 1. Let w(l) = 196219*l. What is w(f(q))?", "a": "-196219*q + 196219" }, { "q": "Let z(k) = -51*k + 2693. Let d(p) = -16*p. Calculate z(d(l)).", "a": "816*l + 2693" }, { "q": "Let r(i) = i. Let x(y) = -46*y**2 + 3*y - 3. Let u(n) = 8281*n**2 - 539*n + 539. Let o be 6472*(-6)/36 + 4/6. Let h(a) = o*x(a) - 6*u(a). Give h(r(g)).", "a": "-98*g**2" }, { "q": "Let g(u) be the second derivative of -u**4/4 + 68*u. Let i(y) = 6*y + 6. Give i(g(c)).", "a": "-18*c**2 + 6" }, { "q": "Let d(m) be the second derivative of 1/2*m**2 - 5/12*m**4 + 0*m**3 + 15*m + 0. Let p(g) = -2*g**2. What is p(d(k))?", "a": "-50*k**4 + 20*k**2 - 2" }, { "q": "Let h(t) = t + 20*t + 4*t. Let w(r) = r**2. Suppose 0 = 5*j - 10*j + 15. Let i(q) = -2*q**2. Let p(z) = j*i(z) + 4*w(z). Give h(p(o)).", "a": "-50*o**2" }, { "q": "Let z be 11 + 4*54/(-24). Let g be (-2 + 1)*2 - -4. Let p(d) = -10*d**z - 11*d**g + 32*d**2. Let s(l) = l**2. Determine p(s(w)).", "a": "11*w**4" }, { "q": "Let c(w) be the second derivative of -1/3*w**3 - 9*w + 0*w**2 + 0. Let h(d) = 2 + 0 + 19*d**2 - 2. What is h(c(a))?", "a": "76*a**2" }, { "q": "Let t(n) = 4*n. Let u(g) = -65629*g + 12. Determine t(u(l)).", "a": "-262516*l + 48" }, { "q": "Let s(k) = 977243*k. Let g(o) = -21*o. Determine s(g(v)).", "a": "-20522103*v" }, { "q": "Let i(b) = -8412706*b. Let p(x) = -2*x**2. What is i(p(q))?", "a": "16825412*q**2" }, { "q": "Let o(v) = 3*v. Let g(c) = 2*c**2 + 4*c - 221819. Calculate g(o(k)).", "a": "18*k**2 + 12*k - 221819" }, { "q": "Let p(o) = 3*o. Let h(f) = 7*f + 12. Let z(a) = 25*a + 47. Let q(c) = -23*h(c) + 6*z(c). Determine q(p(l)).", "a": "-33*l + 6" }, { "q": "Let u(k) = 25*k + 88. Let r(t) = 14*t + 45. Let w(a) = 7*r(a) - 4*u(a). Let z(m) = 20*m**2. Determine w(z(p)).", "a": "-40*p**2 - 37" }, { "q": "Let q(i) be the third derivative of i**5/60 + 189*i**2. Let x(d) = -15*d**2 + 53*d**2 + 30*d**2 + 9*d**2. Calculate x(q(p)).", "a": "77*p**4" }, { "q": "Let v(f) = 3636*f**2. Let h(l) = 545*l - 2. Give h(v(d)).", "a": "1981620*d**2 - 2" }, { "q": "Let q(u) = -7*u. Suppose 3*k + 15 = 0, -4*s - 6*k + k - 9 = 0. Suppose -2*g = -p - 4, 4 + 0 = s*g - 3*p. Let m(c) = g*c + 8 - 8. Calculate q(m(f)).", "a": "-28*f" }, { "q": "Let i(x) = 11*x. Let g(m) = 16*m. Let z(d) = -7*d - 14. Let n be z(-3). Let h(c) = n*i(c) - 5*g(c). Let a(y) = 2*y. What is h(a(b))?", "a": "-6*b" }, { "q": "Let o(g) = 13*g**2 - 14. Let v(b) = -6*b**2 + 7. Let a be 3*(25/(-15))/1. Let y(p) = a*v(p) - 2*o(p). Let i(s) = -s. Calculate i(y(x)).", "a": "-4*x**2 + 7" }, { "q": "Let q(o) = 6*o**2 - 20. Let k(u) = 13*u - 198. Determine q(k(i)).", "a": "1014*i**2 - 30888*i + 235204" }, { "q": "Let x(j) = -10*j**2. Let n(t) = 97 - 208 - 64*t**2 + 111. Calculate n(x(d)).", "a": "-6400*d**4" }, { "q": "Let w(x) = -2*x. Let g(v) = 1. Let r(i) = -52*i + 4. Let q(b) = 4*g(b) + r(b). Determine q(w(u)).", "a": "104*u + 8" }, { "q": "Suppose -j = -4*s - 6, -7 = 4*j - 7*j + s. Suppose 0 = -g + 9*g - 40. Let p(q) = -g + 3 + j + q. Let d(m) = 2*m**2. Give p(d(l)).", "a": "2*l**2" }, { "q": "Let g be 1 + (-7)/(28/(-12)). Let z(t) = -g - 3*t + 2*t + 4. Let j(f) = -20*f - 23*f + 38*f. What is z(j(p))?", "a": "5*p" }, { "q": "Let p(t) be the second derivative of -t**5/30 + 23*t**2 + 2*t + 33. Let j(l) be the first derivative of p(l). Let b(y) = 22*y**2. What is b(j(v))?", "a": "88*v**4" }, { "q": "Let g(m) = -6*m**2 + 66. Let o(u) = 4509*u**2. Determine g(o(k)).", "a": "-121986486*k**4 + 66" }, { "q": "Let j(m) be the first derivative of 2*m**3/3 - 3. Let p(n) be the third derivative of 46*n**2 + 0*n**3 + 0 + 0*n + 1/6*n**4. Give j(p(r)).", "a": "32*r**2" }, { "q": "Let p(q) = q**2. Let b(d) be the second derivative of 0*d**3 - d - 1/6*d**4 + 0*d**2 + 0. Let t(r) = 3*b(r) + 5*p(r). Let a(z) = -11*z**2. Calculate t(a(c)).", "a": "-121*c**4" }, { "q": "Let c(z) = z - 506 + 506. Let b(m) = 596 - 5*m**2 - 2*m - 596. Give b(c(f)).", "a": "-5*f**2 - 2*f" }, { "q": "Let g(z) = -32824*z. Let n(v) = -133*v**2. Calculate g(n(m)).", "a": "4365592*m**2" }, { "q": "Let c(i) = -3*i. Let s be 4/(-6)*(-19 - -13). Let v(w) = 15*w - s*w - 10*w + 23*w. Calculate c(v(u)).", "a": "-72*u" }, { "q": "Suppose 5*v - 2*o = 18, -3*o - o - 24 = -4*v. Let q(m) = 42 - 87 - v*m + 45. Let a(i) = -4*i**2. Give a(q(r)).", "a": "-16*r**2" }, { "q": "Let j(r) = 5*r**2. Let g(y) be the third derivative of 0 + 0*y - 3/8*y**4 + 0*y**3 + 40*y**2. Calculate j(g(p)).", "a": "405*p**2" }, { "q": "Let w(r) be the second derivative of r**4/6 - 3*r**3/2 - 49*r + 1. Let b(m) = 2*m. What is b(w(l))?", "a": "4*l**2 - 18*l" }, { "q": "Let z(x) = -11*x. Suppose h + j = -h + 18, 2*h - 14 = j. Let d be 8/(-2) - (-2 - h). Let y(v) = v**2 - d*v**2 + 0*v**2 + 3*v**2. Determine z(y(p)).", "a": "22*p**2" }, { "q": "Let h(m) = -2127*m**2 + 332*m. Let d(y) = -4*y. Give h(d(l)).", "a": "-34032*l**2 - 1328*l" }, { "q": "Let r(m) = -2*m + 1365829. Let l(q) = 2*q**2. Give r(l(x)).", "a": "-4*x**2 + 1365829" }, { "q": "Let v be 8/1*(4/((-48)/42) - -5). Let a(q) be the third derivative of v*q**2 + 0 + 0*q**4 + 0*q**3 + 0*q + 1/60*q**5. Let m(k) = 14*k. What is a(m(f))?", "a": "196*f**2" }, { "q": "Let j(d) = -d + 61 - 195 + 67 + 67. Let i(w) = 14*w**2 + 3*w**2 + 7*w**2. What is j(i(l))?", "a": "-24*l**2" }, { "q": "Let v(c) be the third derivative of 1/20*c**5 + 46*c**2 + 0*c**4 + 0 + 0*c + 0*c**3. Let i(x) be the third derivative of x**4/3 - x**2. Calculate i(v(a)).", "a": "24*a**2" }, { "q": "Let t(c) = 140*c. Let y(a) be the first derivative of -a**4/12 + a**2/2 + 55*a + 42. Let k(s) be the second derivative of y(s). Determine t(k(d)).", "a": "-280*d" }, { "q": "Let b(n) = 2*n**2. Let l(i) = -1506974*i**2. Calculate l(b(h)).", "a": "-6027896*h**4" }, { "q": "Let m(c) = 7*c**2. Let i(b) = 124*b**2 - 5*b + 5*b + 27*b**2 + 198*b**2. What is i(m(g))?", "a": "17101*g**4" }, { "q": "Let l(a) = -2*a - 4*a + 3*a. Let z(n) be the third derivative of 37*n**5/60 + 2*n**2 - 687. Determine z(l(s)).", "a": "333*s**2" }, { "q": "Let a(x) = -x**2 + 767*x. Let l(i) = 1675*i. Determine a(l(p)).", "a": "-2805625*p**2 + 1284725*p" }, { "q": "Let b(i) = 227598*i. Let q(x) = 6*x**2 + 2*x. Calculate q(b(y)).", "a": "310805097624*y**2 + 455196*y" }, { "q": "Let q(n) = 2*n. Let x(v) = 209*v + 462. Let s(j) = -13*j - 29. Let d(m) = -33*s(m) - 2*x(m). What is q(d(w))?", "a": "22*w + 66" }, { "q": "Let s(w) = 49*w**2. Let a(c) be the first derivative of 2*c**3 + 332. Give s(a(m)).", "a": "1764*m**4" }, { "q": "Let j(p) = -54*p + 1. Let f(h) be the first derivative of 53*h**2/2 + 57. Let q(r) = -3*f(r) - 2*j(r). Let k(n) = n. Calculate q(k(x)).", "a": "-51*x - 2" }, { "q": "Let y(s) be the third derivative of s**5/20 + 2548*s**2. Let c(t) = -3*t - 8*t - 7*t + t. What is c(y(f))?", "a": "-51*f**2" }, { "q": "Let g(x) = x. Let z = 153 + -151. Let m(j) = -10*j**z + 3*j + 20*j**2 + j - 5*j**2. Give g(m(u)).", "a": "5*u**2 + 4*u" }, { "q": "Let f(z) = 10385*z**2 - 12. Let r(h) = -3*h. Give f(r(u)).", "a": "93465*u**2 - 12" }, { "q": "Suppose -8*k + 24 = -88. Let r(u) = 21*u - 21. Let v(d) = -4*d + 4. Let p(o) = k*v(o) + 3*r(o). Let t(z) = z**2. What is p(t(y))?", "a": "7*y**2 - 7" }, { "q": "Let h(y) = 63*y. Let q(d) be the third derivative of 3*d**5/10 + 445*d**2. Give q(h(o)).", "a": "71442*o**2" }, { "q": "Let y(h) = 8*h**2. Let s(c) be the first derivative of 2*c**2 + 4*c + 58. Calculate s(y(g)).", "a": "32*g**2 + 4" }, { "q": "Let u(n) = -2*n**2 - 2*n - 1668. Let v(m) = 214*m**2 + 2. What is u(v(i))?", "a": "-91592*i**4 - 2140*i**2 - 1680" }, { "q": "Let d(x) = 2. Let r(q) = 2*q + 22. Let s(f) = -22*d(f) + 2*r(f). Let t(n) = -6 - 31*n + 10 - 4. Give s(t(k)).", "a": "-124*k" }, { "q": "Let t(c) = -19*c**2 + 21*c + 7. Let u(j) = 11*j**2 - 12*j - 4. Let o(y) = -4*t(y) - 7*u(y). Let d(m) = -3*m**2 - 86. Calculate o(d(x)).", "a": "-9*x**4 - 516*x**2 - 7396" }, { "q": "Let a(v) = -228*v + 5195. Let h(z) = -z. Give h(a(n)).", "a": "228*n - 5195" }, { "q": "Let j(t) = 3*t - 3*t - 27 + t. Let l(a) be the second derivative of a**4/12 - 1064*a. Give j(l(h)).", "a": "h**2 - 27" }, { "q": "Let g(s) = 39634*s**2. Let i(y) = -30*y - 2. What is i(g(r))?", "a": "-1189020*r**2 - 2" }, { "q": "Let n(c) = -5*c**2. Let x(b) = 4 + 88*b - 85*b - 3 - 2. Determine n(x(i)).", "a": "-45*i**2 + 30*i - 5" }, { "q": "Let d(q) be the first derivative of -q**3/3 + 1375. Let s(u) = -137*u**2. Give s(d(z)).", "a": "-137*z**4" }, { "q": "Let a(q) = -3*q**2. Let r(m) be the third derivative of -283*m**4/8 + 447*m**2 - 2*m. Give a(r(n)).", "a": "-2162403*n**2" }, { "q": "Let q(m) = 53488*m + 1345*m**2 - 53488*m. Let g(f) = -f**2. What is g(q(z))?", "a": "-1809025*z**4" }, { "q": "Let s(n) = -47*n. Let l(q) = -9*q - 4 + 36*q + 4 - 17*q. Give s(l(w)).", "a": "-470*w" }, { "q": "Let t(w) = 14*w**2. Let x(a) = 2*a**2 - 7*a + 4. Let b be x(0). Let u(g) = -7*g + 5. Let s(k) = -3*k + 2. Let d(v) = b*u(v) - 10*s(v). Calculate t(d(j)).", "a": "56*j**2" }, { "q": "Let k(v) = v - 936. Let s(r) be the first derivative of r**2 - 745. Calculate k(s(x)).", "a": "2*x - 936" }, { "q": "Suppose -36*g + 38*g - 36 = 0. Let j(y) = 24*y + g*y - 45*y. Let k(l) be the third derivative of -l**4/24 - l**2. Determine k(j(m)).", "a": "3*m" }, { "q": "Let r(h) = -48*h**2. Suppose -4*p = 4*x - 12884 - 13012, 0 = 3*x + p - 19430. Let s(d) = -x - 3*d**2 + 6478. Give s(r(u)).", "a": "-6912*u**4" }, { "q": "Let f(s) be the first derivative of 0*s + 23 - 89/2*s**2. Let a(o) = 2*o**2. Calculate f(a(q)).", "a": "-178*q**2" }, { "q": "Let b(f) = 7*f**2. Let o(y) be the third derivative of 151*y**4/24 + 5*y**2 + 45. Determine o(b(c)).", "a": "1057*c**2" }, { "q": "Suppose -14*j + 3883 = -3*j. Let r(g) = -2 - j*g**2 + 5 + 347*g**2. Let m(v) = 2*v**2. Calculate r(m(d)).", "a": "-24*d**4 + 3" }, { "q": "Let p(b) = 4*b**2. Let n(c) be the first derivative of -7*c**4/8 + c**2 + 12*c - 35. Let v(t) be the second derivative of n(t). What is p(v(f))?", "a": "1764*f**2" }, { "q": "Let g(x) = x**2 - 4*x. Let u(m) = -8115*m + 4. Calculate u(g(s)).", "a": "-8115*s**2 + 32460*s + 4" }, { "q": "Let n(o) = -6*o + 3. Let k(l) = 149868*l. What is n(k(h))?", "a": "-899208*h + 3" }, { "q": "Let b(s) = -47*s**2. Suppose -l - 21 = -8*l. Let z(p) = l - 396*p + 398*p - 3. What is z(b(i))?", "a": "-94*i**2" }, { "q": "Let o(n) = -3*n**2. Let x(i) = 6*i + 3 - 3*i - 8*i. Let h(z) = 5*z - 2. Let p(v) = 3*h(v) + 2*x(v). Calculate p(o(t)).", "a": "-15*t**2" }, { "q": "Let s(f) be the first derivative of 8*f**3/3 - 2102. Let r(d) = d**2 + 4*d + 4*d - 8*d. Give r(s(i)).", "a": "64*i**4" }, { "q": "Suppose 18*a = 13*a + 15. Suppose a*s = -10 - 5, -3420 = -3*b - 3*s. Let h(c) = c**2 + 1145*c - b*c. Let l(r) = 3*r. Calculate l(h(f)).", "a": "3*f**2" }, { "q": "Let y(o) = 9*o**2. Let s(g) = 26*g + 58. Let r be s(16). Let t(v) = 242*v - r*v + 242*v. What is y(t(j))?", "a": "900*j**2" }, { "q": "Let l(q) = -q. Let i(x) = x. Let t(a) = -6*i(a) - 4*l(a). Let o(u) = -5*u. Let w = 82 - 88. Let y(v) = 5*v. Let c(s) = w*y(s) - 4*o(s). Determine t(c(k)).", "a": "20*k" }, { "q": "Let v(k) = -2*k. Let w(p) be the first derivative of 335*p**2/2 + p - 1007. Give w(v(h)).", "a": "-670*h + 1" }, { "q": "Let p(a) = -4*a**2. Let u = 283/402 + -5/134. Let x(c) be the second derivative of 16*c + 0 + u*c**3 + 0*c**2. Give p(x(o)).", "a": "-64*o**2" }, { "q": "Let r(v) = 5*v**2. Let h(w) = 42749*w + 1. Determine r(h(s)).", "a": "9137385005*s**2 + 427490*s + 5" }, { "q": "Let d(u) = -66*u. Let n(i) = 7*i + 12 + 9*i - 19*i - 12. What is d(n(j))?", "a": "198*j" }, { "q": "Let v(g) = -217*g - 5. Let c(t) = 130*t + 3. Let s(a) = 5*c(a) + 3*v(a). Let d(r) be the second derivative of -2*r**4/3 + r. Calculate d(s(q)).", "a": "-8*q**2" }, { "q": "Let d(c) = -1417*c. Let m(o) = -7640*o**2. Give m(d(t)).", "a": "-15340271960*t**2" }, { "q": "Let n(q) = 789 + 782 - 31*q - 1571 + 2*q. Let m(y) = -2*y. Determine n(m(v)).", "a": "58*v" }, { "q": "Let p(i) = -i**2 + 20*i - 17. Let r be p(19). Let d(u) = -u**2 + 4*u**2 - 5*u**r. Let t(q) = 15*q - 1. Calculate d(t(l)).", "a": "-450*l**2 + 60*l - 2" }, { "q": "Let z(m) = 5*m**2 - 8*m + 4. Suppose 5*s = 46 - 26. Let p(w) = w**2 - 2*w + 1. Let l(c) = s*p(c) - z(c). Let t(n) = 28*n. What is t(l(v))?", "a": "-28*v**2" }, { "q": "Let n(z) = -7818*z**2 - 7*z + 95. Let h(u) = -u. Calculate n(h(l)).", "a": "-7818*l**2 + 7*l + 95" }, { "q": "Let g(t) = t**2 - 2. Let b(m) = 6*m**2 - 8. Let a(y) = -b(y) + 4*g(y). Let x(w) = 212*w**2 - w. What is x(a(d))?", "a": "848*d**4 + 2*d**2" }, { "q": "Let f(g) be the first derivative of 26*g**3/3 + 18. Let s = 33 + -16. Let d(w) = w - s*w + 8*w + 7*w. What is d(f(p))?", "a": "-26*p**2" }, { "q": "Let m(k) = 9*k**2 - k. Let q(a) = 3*a - 28. Let w be q(18). Let s(y) = -19*y**2 + w*y**2 - 9*y**2. Calculate s(m(j)).", "a": "-162*j**4 + 36*j**3 - 2*j**2" }, { "q": "Let m(k) = -k**2. Suppose 10*h - 169 = -3*h. Let q(i) = -h*i - 17 - 4*i + 19*i. Give m(q(v)).", "a": "-4*v**2 + 68*v - 289" }, { "q": "Let k(t) = -4*t**2. Let u = -60 - -63. Let g(i) = u - 3 - 45*i + 63*i. Give k(g(r)).", "a": "-1296*r**2" }, { "q": "Let x(j) = 2*j. Let b(v) be the first derivative of 133*v**3/3 - 302. Give x(b(i)).", "a": "266*i**2" }, { "q": "Suppose -5*y + 98 = -f - 114, -2*y + f + 83 = 0. Let v(z) = 86 - y - 48*z - 43. Let g(a) = -a. Determine g(v(r)).", "a": "48*r" }, { "q": "Suppose g - 4*g - 75 = -3*x, -102 = 4*g - 3*x. Let b = 39 + g. Let y(i) = 10*i. Let h(s) = 3*s. Let n(m) = b*h(m) - 3*y(m). Let r(o) = o**2. What is r(n(l))?", "a": "36*l**2" }, { "q": "Let w(c) be the third derivative of -c**5/30 - c**2. Let a(p) be the third derivative of -p**5/60 - 11*p**4/24 + 127*p**2. Determine a(w(o)).", "a": "-4*o**4 + 22*o**2" }, { "q": "Let a(h) = 93 + 101 + 4*h + 100 - 294. Let i(u) = -2*u**2 + 363*u. What is i(a(m))?", "a": "-32*m**2 + 1452*m" }, { "q": "Let n(b) = 211*b - 8. Let s(f) = -36*f. Give s(n(v)).", "a": "-7596*v + 288" }, { "q": "Let h(u) = 16*u**2 + 2*u - 4*u + 7 + 9*u. Let g(c) = -11*c**2 - 5*c - 5. Let b(t) = 7*g(t) + 5*h(t). Let s(a) = -24*a. Give s(b(q)).", "a": "-72*q**2" }, { "q": "Let j(l) = 16*l**2 + 5. Let f(m) = -62*m**2 + 4*m - 8. Let z(n) = 15*n**2 - n + 2. Let y(h) = f(h) + 4*z(h). Determine y(j(r)).", "a": "-512*r**4 - 320*r**2 - 50" }, { "q": "Let b(v) = 13*v + 20. Let t(x) = 9*x + 13. Let w(s) = -5*b(s) + 7*t(s). Let u(f) be the third derivative of f**4/24 - 8664*f**2. What is u(w(a))?", "a": "-2*a - 9" }, { "q": "Let p(m) = -m - 32. Let f(h) = 3*h**2 - 857*h - 2. Give p(f(x)).", "a": "-3*x**2 + 857*x - 30" }, { "q": "Let p(k) = k - 7. Let j be p(9). Let s(x) = 11*x - j*x - 8*x. Let b(f) = 3*f. Let u(c) = b(c) - 4*s(c). Let n(r) = 26*r**2. Calculate u(n(m)).", "a": "-26*m**2" }, { "q": "Let f(t) = -149723*t. Let k(w) = -14*w. What is k(f(m))?", "a": "2096122*m" }, { "q": "Let b(x) = -2*x**2. Let i(g) = 691973*g. Determine i(b(n)).", "a": "-1383946*n**2" }, { "q": "Let i(p) = -6*p. Let d(b) be the second derivative of 3*b**5/10 + 7*b**2 - 2*b - 4. Let a(n) be the first derivative of d(n). What is i(a(h))?", "a": "-108*h**2" }, { "q": "Let o(j) = -j**3 - 8*j**2 - j - 6. Let u be o(-8). Let q(z) = 0 + 2*z**u - 3 + 3. Let b(d) = -18*d - 1. What is b(q(c))?", "a": "-36*c**2 - 1" }, { "q": "Let w(b) = 2537629*b**2 - 13518*b - 6759. Let n(z) = 751*z**2 - 4*z - 2. Let j(p) = 6759*n(p) - 2*w(p). Let x(l) = -4*l**2. Give j(x(m)).", "a": "12016*m**4" }, { "q": "Suppose -15*l + 18 - 3 = 0. Let m(i) = 1. Let p(h) = h + 1. Let z(u) = l*m(u) - p(u). Let k(y) be the third derivative of -11*y**4/12 - y**2. Give k(z(v)).", "a": "22*v" }, { "q": "Let a(o) = 3*o. Let f(c) = -2*c**2 + 937656. Determine a(f(x)).", "a": "-6*x**2 + 2812968" }, { "q": "Let r(u) = -3*u**2. Let v(d) = 2*d**2 - 3*d**2 - 374*d + 374*d. Give r(v(x)).", "a": "-3*x**4" }, { "q": "Let k(w) = -504*w**2 + 2*w - 2. Let o(n) = -2522*n**2 + 11*n - 11. Let h(a) = 22*k(a) - 4*o(a). Let u(f) = 2*f. Determine u(h(r)).", "a": "-2000*r**2" }, { "q": "Let t(w) = 322617*w. Let n(i) = i**2. What is t(n(y))?", "a": "322617*y**2" }, { "q": "Let l(o) = -o. Let w(j) be the first derivative of 3*j**2/2 + 186*j - 954. Calculate w(l(i)).", "a": "-3*i + 186" }, { "q": "Let v(m) = 18*m. Suppose -3 = 3*t - 9. Suppose -3*b - 2*u = 0, -t*u = 5*b - u. Let d(n) = 2*n**2 + b*n**2 - 6*n**2 + 3*n**2. Calculate v(d(y)).", "a": "-18*y**2" }, { "q": "Let n(d) = 4*d**2. Let z(a) be the second derivative of 89*a**4/12 - 664*a - 2. Determine n(z(w)).", "a": "31684*w**4" }, { "q": "Let c(v) = v**2 - 1. Suppose -j + 0*j = 1. Let t(n) = 20*n**2 - 24. Let s(m) = j*t(m) + 24*c(m). Let q(z) = -2*z**2 + 8*z**2 - 8*z**2 - z**2. Calculate q(s(a)).", "a": "-48*a**4" }, { "q": "Let w(h) = -5*h. Let t(b) = 10. Let s(m) = 1. Let g(i) = -12*s(i) + t(i). Let y(o) = 2*o + 14. Let p(x) = 14*g(x) + 2*y(x). What is p(w(l))?", "a": "-20*l" }, { "q": "Let i(p) be the third derivative of 1981*p**4/12 - p**3/3 + 1181*p**2. Let q(t) = -t. Determine i(q(x)).", "a": "-3962*x - 2" }, { "q": "Let a(w) = -82*w. Let y(c) = 88059*c**2. Calculate a(y(r)).", "a": "-7220838*r**2" }, { "q": "Let n(s) be the third derivative of 0 - 64*s + 0*s**3 - s**2 - 3/8*s**4. Let g(w) = -5*w**2. Calculate g(n(l)).", "a": "-405*l**2" }, { "q": "Let i(r) = 2*r. Let m(f) = 5*f + 47*f - 3 + 25*f + 3. What is m(i(c))?", "a": "154*c" }, { "q": "Let q(h) be the third derivative of 7*h**2 + 0*h + 0*h**3 + 0 + 1/24*h**4. Let n(t) = 1736 - 12*t**2 - 1736. Calculate n(q(j)).", "a": "-12*j**2" }, { "q": "Let a(b) = -21*b. Let q(i) = -i**2 - 4. Let v(z) = 5*z**2 + 22. Suppose j + j = 66. Let h(y) = j*q(y) + 6*v(y). Give a(h(k)).", "a": "63*k**2" }, { "q": "Let m(w) = -2*w. Let r(q) = -8126487*q. Calculate m(r(a)).", "a": "16252974*a" }, { "q": "Let p(a) = 6*a**2. Let m(l) be the second derivative of 2*l**3 - 5*l**2/2 + 5*l. Let j(g) = -g + 1. Let r(b) = 10*j(b) + 2*m(b). Calculate r(p(c)).", "a": "84*c**2" }, { "q": "Let a(i) = 7*i**2. Let q = 2188 + -2173. Let m(z) be the second derivative of 0*z**3 + 0*z**2 + 1/6*z**4 + 0 - q*z. Determine m(a(t)).", "a": "98*t**4" }, { "q": "Let f(y) = 13*y + 50. Let o(z) be the first derivative of z**2 - 692. What is f(o(q))?", "a": "26*q + 50" }, { "q": "Let y(k) = 2146*k**2. Let d(h) = 5*h + 154. Let g(m) = -m - 28. Let b(t) = -4*d(t) - 22*g(t). What is b(y(c))?", "a": "4292*c**2" }, { "q": "Let r(t) = -2*t. Let p be 0 + 2 - (-1 - 0). Let j be 18/10 - p/(-15). Let o(q) = -3*q**j + 6*q + 4*q**2 - 6*q. Give o(r(n)).", "a": "4*n**2" }, { "q": "Let y(l) = -2*l + 3*l + 0*l. Let x(b) = -22*b + 23 + 7*b + 8*b - 51. Let j(h) = -2. Let m(f) = -14*j(f) + x(f). Determine m(y(c)).", "a": "-7*c" }, { "q": "Let o(l) = 4*l. Let n(r) be the first derivative of -r**3/6 + 32*r - 77. Let w(a) be the first derivative of n(a). Determine o(w(f)).", "a": "-4*f" }, { "q": "Let n(s) = -36*s**2. Suppose -30 = 2*t - 4. Let y(g) = 4*g + 13. Let a(l) = -2*l - 6. Let b(f) = t*a(f) - 6*y(f). Determine n(b(z)).", "a": "-144*z**2" }, { "q": "Let a(n) = 2*n**2. Let r(i) = 10795 - 5*i - 10795 - 50*i**2. Let y(c) = 24*c**2 + 3*c. Let t(m) = -3*r(m) - 5*y(m). Give a(t(h)).", "a": "1800*h**4" }, { "q": "Let o(l) = -2*l + 1269. Let f(y) = 3*y - 80. Calculate f(o(u)).", "a": "-6*u + 3727" }, { "q": "Let q(y) be the second derivative of y**4/4 - 23*y - 71. Let u(o) = 15*o - 9. Let l(t) = t - 1. Let z(c) = 18*l(c) - 2*u(c). What is z(q(f))?", "a": "-36*f**2" }, { "q": "Let f(r) = -445*r**2. Let i(q) be the second derivative of q**3/6 - 4*q + 60. Give i(f(p)).", "a": "-445*p**2" }, { "q": "Let w(z) be the first derivative of 4*z**3/3 + 1533. Let l(c) = -830*c**2. Calculate l(w(n)).", "a": "-13280*n**4" }, { "q": "Let x(a) = 0*a + 3*a - 5*a. Suppose 0 = -5*t - 3*z + 1294, 0*t = 4*t + 5*z - 1043. Let s(u) = -t*u + 257*u + u**2. Calculate x(s(c)).", "a": "-2*c**2" }, { "q": "Let v(q) = 2*q**2 + 60*q. Let o(n) = -15*n - 135. Let j(b) = -3. Let r(u) = 45*j(u) - o(u). Give r(v(z)).", "a": "30*z**2 + 900*z" }, { "q": "Let j(r) = -2*r. Let l(s) be the second derivative of -783*s**4/4 + s + 317. Determine l(j(n)).", "a": "-9396*n**2" }, { "q": "Let s(c) = -263*c - 251*c + 514*c + 2*c**2. Let d(j) = -3*j**2 + 590. Calculate d(s(a)).", "a": "-12*a**4 + 590" }, { "q": "Let v(o) be the third derivative of o**5/5 - 355*o**2. Let s(a) = -45*a**2. What is v(s(n))?", "a": "24300*n**4" }, { "q": "Let c(u) = u**2. Suppose -257 + 72 = -5*z. Let o = -32 + z. Let a(f) = -7*f - 5. Let k(r) = 7*r + 4. Let l(q) = o*k(q) + 4*a(q). Give c(l(i)).", "a": "49*i**2" }, { "q": "Let c(l) = -3*l + 0*l + l + 3*l. Let d(p) = 1 - 2 - 2011*p + 2017*p - 2. Calculate c(d(k)).", "a": "6*k - 3" }, { "q": "Let a(y) = -y. Let p(s) be the second derivative of 9 + 0*s**3 - s + 1/3*s**4 + 0*s**2. Give a(p(x)).", "a": "-4*x**2" }, { "q": "Let b(t) = -2*t**2. Let d(q) = -127*q + 261*q + 1369 - 132*q. What is d(b(f))?", "a": "-4*f**2 + 1369" }, { "q": "Let i(x) = -6929*x. Let j(f) = 225*f. Let l(z) = -4*i(z) - 123*j(z). Let d(v) be the first derivative of v**3 + 2. What is d(l(t))?", "a": "5043*t**2" }, { "q": "Let c(b) = -37873*b**2 + 2*b + 3. Let d(g) = g**2. What is c(d(j))?", "a": "-37873*j**4 + 2*j**2 + 3" }, { "q": "Let f(a) = a - 6. Let y(z) = -3*z + 12. Let s(i) = -6*f(i) - 3*y(i). Let d(p) be the second derivative of 5*p**4/12 + 19*p. What is d(s(u))?", "a": "45*u**2" }, { "q": "Let m(x) = -2*x**2. Let s(k) = -3*k + 1. Let c(r) = -1107*r**2 - 27*r + 9. Let a(z) = c(z) - 9*s(z). Give a(m(p)).", "a": "-4428*p**4" }, { "q": "Let d(h) be the third derivative of 23*h**4/24 + 1542*h**2. Let i(w) be the third derivative of w**5/60 - w**2. Determine d(i(x)).", "a": "23*x**2" }, { "q": "Let o(n) = -44*n**2 + 19806*n - 3. Let l(q) = -2*q**2. Give o(l(w)).", "a": "-176*w**4 - 39612*w**2 - 3" }, { "q": "Let y(s) = 265*s**2. Let g(l) = 98 - 98 + 1284*l**2 - 1282*l**2. Give y(g(f)).", "a": "1060*f**4" }, { "q": "Let w(n) = -16*n. Let v(z) = 682*z + 72. Determine v(w(q)).", "a": "-10912*q + 72" }, { "q": "Let w(r) = -1 - 17*r - 24*r - 19*r - 2*r + 14*r. Let o(k) = -2*k. Calculate o(w(h)).", "a": "96*h + 2" }, { "q": "Let c(s) = 10979*s**2. Let r(h) = -379*h. What is r(c(x))?", "a": "-4161041*x**2" }, { "q": "Let q(r) = 54*r + 78. Let p(t) = 2*t + 3. Let g(v) = -78*p(v) + 3*q(v). Let b(i) = 10*i + 7. Give g(b(f)).", "a": "60*f + 42" }, { "q": "Let v(b) = 100*b**2. Let r(f) = 22*f**2 - 8*f**2 - 127 - 124 + 251. Determine r(v(k)).", "a": "140000*k**4" }, { "q": "Let z(y) = 156*y**2 - 11. Let v(d) = 52*d - 8. What is v(z(b))?", "a": "8112*b**2 - 580" }, { "q": "Let c(i) be the second derivative of -113*i**3/6 - 6*i + 36. Let a(m) = -2*m. What is c(a(u))?", "a": "226*u" }, { "q": "Let i(o) = 2*o**2. Let n(y) = 34*y - 315. Let s(r) = 15*r - 157. Let p(u) = 5*n(u) - 11*s(u). Calculate p(i(t)).", "a": "10*t**2 + 152" }, { "q": "Let r(u) = -14240*u - 106. Let o(g) = 2*g**2. Determine r(o(t)).", "a": "-28480*t**2 - 106" }, { "q": "Let g(c) = 28*c**2. Suppose -3 - 3 = -3*f. Let l(s) = 20 + 19*s**f - 18*s**2 - 20. What is g(l(a))?", "a": "28*a**4" }, { "q": "Let q(z) = -2*z. Let h(i) = 5564796*i**2. Give q(h(d)).", "a": "-11129592*d**2" }, { "q": "Let n(u) = -436*u**2. Let w(g) be the first derivative of -4*g**3/3 - 1318. Determine n(w(v)).", "a": "-6976*v**4" }, { "q": "Let i(u) = -u**2 - 15*u. Let s(n) = 0 - 13 + 16 - 3 + 31*n. Calculate s(i(a)).", "a": "-31*a**2 - 465*a" }, { "q": "Let d(x) = -x. Let i = 1021 + -1019. Let r(v) be the second derivative of 0*v**3 + 0*v**i + 1/3*v**4 - 14*v + 0. Calculate r(d(q)).", "a": "4*q**2" }, { "q": "Let g(p) = p**2 + 2*p - 11993. Let i(a) = -4*a. Determine i(g(t)).", "a": "-4*t**2 - 8*t + 47972" }, { "q": "Let u(s) = -s**2. Let l(b) = -987645*b. Give l(u(m)).", "a": "987645*m**2" }, { "q": "Let v(s) be the third derivative of -s**5/60 + 40*s**2. Let q(y) = 9297 + 0*y**2 - 2*y**2 - 9349. Calculate q(v(p)).", "a": "-2*p**4 - 52" }, { "q": "Let x(o) = -o**2 - 324*o. Let u(y) = -103*y - 82. Give u(x(h)).", "a": "103*h**2 + 33372*h - 82" }, { "q": "Let k(p) be the third derivative of p**7/210 - 7*p**5/60 - p**4/12 + 68*p**2. Let b(o) be the third derivative of k(o). Let h(s) = s. Determine h(b(x)).", "a": "24*x" }, { "q": "Let z(k) = 4*k**2. Suppose 0 = -2*u - 5*h + 4, -3*u + h + 12 = -11. Let q(j) = -u*j**2 - 8*j**2 - 7*j**2 + 16*j**2. Calculate q(z(n)).", "a": "-96*n**4" }, { "q": "Let f(v) = -3*v. Let q(o) = 1 - 3 - 9375*o + 9546*o. Determine q(f(u)).", "a": "-513*u - 2" }, { "q": "Let x(c) be the third derivative of -c**5/30 + 1596*c**2. Let r(q) = -14*q - 10. Give x(r(t)).", "a": "-392*t**2 - 560*t - 200" }, { "q": "Let s(z) = -22611*z. Let v(y) = -434*y. Calculate s(v(w)).", "a": "9813174*w" }, { "q": "Let t(x) = 176462*x**2. Let d(n) = 94*n. What is d(t(p))?", "a": "16587428*p**2" }, { "q": "Let q(h) = -h + 6*h - 3*h**2 - 5*h**2 - h. Let r(f) = -7*f**2. What is q(r(c))?", "a": "-392*c**4 - 28*c**2" }, { "q": "Let d(r) = -36*r**2 + 24*r + 8. Let y(w) = -13*w**2 + 9*w + 3. Let u(t) = -3*d(t) + 8*y(t). Let b(m) = -14*m. Determine b(u(o)).", "a": "-56*o**2" }, { "q": "Let o(n) = 5*n**2 - 24. Let y(a) = 6798*a. Determine y(o(s)).", "a": "33990*s**2 - 163152" }, { "q": "Let q(d) = 1161*d - 27 + 13 + 14 - 1200*d. Let s(r) = 41*r**2. Give s(q(y)).", "a": "62361*y**2" }, { "q": "Let h(o) = 15*o**2 + 91*o - 79. Let y(x) = -7*x**2 - 42*x + 39. Let j(q) = 6*h(q) + 13*y(q). Let s(v) = -10*v. Calculate s(j(d)).", "a": "10*d**2 - 330" }, { "q": "Let c(k) = 7*k**2 + 14. Let b(q) be the first derivative of -q**3/3 + 177. Calculate b(c(h)).", "a": "-49*h**4 - 196*h**2 - 196" }, { "q": "Let o(t) = -49*t - 1. Let h = 76 - 72. Let c(v) = -12 + v + 16 - h. Calculate c(o(p)).", "a": "-49*p - 1" }, { "q": "Let c(t) = -3186*t. Let v(j) be the first derivative of j**3/3 - 136. Calculate v(c(m)).", "a": "10150596*m**2" }, { "q": "Let n(v) = -3*v - 3*v + 7*v - 2*v. Suppose 3*c + 24 = 5*c. Let a(x) = -c*x - 14*x + 32*x. Give n(a(q)).", "a": "-6*q" }, { "q": "Suppose 2 = -5*o + 12. Let a(m) = -2 + o + 16*m**2. Let w(j) = 5*j**2 + 2*j. Let h(z) = 23*z**2 + 9*z. Let b(i) = -2*h(i) + 9*w(i). Calculate a(b(c)).", "a": "16*c**4" }, { "q": "Let y(z) = 98*z + 101*z + 93*z - 382*z + 96*z. Let u(k) = -78*k**2. Give u(y(f)).", "a": "-2808*f**2" }, { "q": "Let k(b) = -b**2 + 18895*b. Let p(t) = -238*t. What is k(p(h))?", "a": "-56644*h**2 - 4497010*h" }, { "q": "Let x(a) = -3*a - 87. Let b(n) be the second derivative of -n**4/6 + 1174*n. Determine b(x(f)).", "a": "-18*f**2 - 1044*f - 15138" }, { "q": "Suppose 4*h - h = z - 121, -5*h - 498 = -4*z. Let v be (42/(-10) + 4)/(4/(-2540)). Let j(g) = -v - 14*g + z. Let w(q) = -2*q**2. What is w(j(r))?", "a": "-392*r**2" }, { "q": "Let u(w) be the third derivative of 43*w**5/60 + w**2. Let g(a) be the first derivative of 55 + 0*a**2 + 0*a + 1/3*a**3. What is g(u(c))?", "a": "1849*c**4" }, { "q": "Let j(f) = 4*f**2 + 1. Let z(v) = 21193*v. Give z(j(b)).", "a": "84772*b**2 + 21193" }, { "q": "Suppose -2*g + 2*r = 3*r - 1, -5*g - 4*r = 5. Let u(f) = f**2 - 4*f**2 + f**2 + g*f**2. Let t(p) = -42*p**2 + p. Calculate u(t(w)).", "a": "1764*w**4 - 84*w**3 + w**2" }, { "q": "Suppose -11 + 27 = 4*b. Let i(l) = 2*l + l - b*l. Let m(v) be the third derivative of -v**4/12 + 25*v**2 + 21*v. Give m(i(k)).", "a": "2*k" }, { "q": "Let f(w) = 5*w**2 - 3*w**2 + 0*w**2. Let l = 137 - 135. Let u(r) = 2*r**l + 6 - 6 + 12*r**2. Give u(f(v)).", "a": "56*v**4" }, { "q": "Let d(p) = -19*p. Let o(h) = 290328*h + 19*h**2 - 290328*h. Determine d(o(l)).", "a": "-361*l**2" }, { "q": "Let s(c) = 5*c. Let p(b) = 77*b**2 + 9*b - 959. Determine s(p(m)).", "a": "385*m**2 + 45*m - 4795" }, { "q": "Let h(u) = 2*u. Let r(m) = 26*m - 105*m + 32*m + 31*m. Let o(z) = 2*z. Suppose 5 - 1 = 2*j. Let l(v) = j*o(v) - 2*r(v). Give h(l(t)).", "a": "72*t" }, { "q": "Let u(i) = 2*i. Let k(g) = 3359*g + 343. Give u(k(m)).", "a": "6718*m + 686" }, { "q": "Let l(d) = -4*d. Let y = -124 + 164. Let j(u) = y*u**2 - 65*u**2 + 39*u**2. Calculate j(l(x)).", "a": "224*x**2" }, { "q": "Let y(t) be the second derivative of -1/2*t**3 + 0*t**2 + 0 + 2*t. Let p(i) = -30*i - 4. Let f(m) = -47*m - 6. Let j(r) = 2*f(r) - 3*p(r). What is j(y(w))?", "a": "12*w" }, { "q": "Let k(v) = -7*v**2. Let m(x) = 4*x**2 - 6. Let z(f) = 128*f**2 - 72. Let o(w) = -12*m(w) + z(w). What is o(k(r))?", "a": "3920*r**4" }, { "q": "Let i(j) = -4*j**2 - 12*j - 6. Let k(r) = 3*r**2 + 10*r + 5. Let m(l) = -5*i(l) - 6*k(l). Let q(s) = -292*s. What is q(m(p))?", "a": "-584*p**2" }, { "q": "Let s(a) = -24011 + 48019 + 151*a - 24008. Let p(r) = 10*r**2. Calculate s(p(j)).", "a": "1510*j**2" }, { "q": "Let g(z) = 2*z. Let p(n) = 1075535*n. What is g(p(j))?", "a": "2151070*j" }, { "q": "Let o(r) = 29*r - 4*r**2 - 12*r - 17*r. Let s(n) = -903*n - 129. Let c(m) = -43*m - 6. Let k(z) = -43*c(z) + 2*s(z). Give o(k(t)).", "a": "-7396*t**2" }, { "q": "Let t be ((-70)/(-315))/(2/18). Let q(g) = 12*g**2 - 11*g**2 - 5*g**t - 2*g**2. Let s(r) = -2 + 3*r + 2 - 4*r. Calculate q(s(n)).", "a": "-6*n**2" }, { "q": "Let s(y) = -2*y**2. Let r(d) = 14*d - 6*d + 294 + 0*d + 110 - 4*d. Determine s(r(j)).", "a": "-32*j**2 - 6464*j - 326432" }, { "q": "Let j(n) = -n**2. Let q(i) = -1157*i**2 - 2220. Determine q(j(w)).", "a": "-1157*w**4 - 2220" }, { "q": "Let q(r) = 14*r**2 + 848385*r - 848385*r + 22*r**2. Let a(d) = -51*d. Determine a(q(l)).", "a": "-1836*l**2" }, { "q": "Let g(y) be the first derivative of -y**3/3 + 12. Let q(s) = 34*s - 68. Suppose 2*f + 68 = f. Let z(d) = -d + 1. Let a(r) = f*z(r) - q(r). Calculate a(g(v)).", "a": "-34*v**2" }, { "q": "Let m(p) be the first derivative of p**2 + 129. Let k(r) = -364*r**2. Determine k(m(s)).", "a": "-1456*s**2" }, { "q": "Let o(y) = -2*y + 32. Let h(l) = 4*l + 40. Let i(m) = -4. Let f(n) = -2*h(n) - 20*i(n). What is f(o(t))?", "a": "16*t - 256" }, { "q": "Let c(k) = 336*k + 4. Let h(i) = -322*i - 3. Let v(z) = 4*c(z) + 5*h(z). Let y(b) = 6*b**2. What is v(y(l))?", "a": "-1596*l**2 + 1" }, { "q": "Let v(z) = -11*z. Let o(l) = -3*l**2 + 4*l - 16. Let f(i) = 2*i**2 - 3*i + 12. Let h(m) = -4*f(m) - 3*o(m). Determine v(h(k)).", "a": "-11*k**2" }, { "q": "Let i(w) be the third derivative of -w**4/24 + 4*w**3/3 + 11*w**2 + 4*w. Let u(o) = o - 5. Let k(c) = -5*i(c) - 8*u(c). Let q(d) = 15*d. Give q(k(b)).", "a": "-45*b" }, { "q": "Let g(m) be the second derivative of -m**4/6 + 1299*m. Let w(u) = 963*u**2. Give w(g(d)).", "a": "3852*d**4" }, { "q": "Let w(v) = 0*v**2 + 3*v**2 - v**2. Let p(t) be the first derivative of -34 - 5/2*t**2 + 0*t. Give p(w(f)).", "a": "-10*f**2" }, { "q": "Let f be 1358/(-105) - 117/(-9). Let m(v) be the third derivative of 0 - f*v**5 + 0*v**3 + 0*v**4 + 0*v + 8*v**2. Let u(g) = 7*g**2. Give u(m(o)).", "a": "112*o**4" }, { "q": "Let v(t) be the second derivative of -5*t**4/3 + t. Suppose -4*k - 930 = -2*i, 2*k = -5*i + 366 + 1911. Let m(w) = 230*w + 228*w - i*w. Determine v(m(j)).", "a": "-20*j**2" }, { "q": "Suppose -10 = 3*j - 16. Suppose -6*t = -j*t - 12. Let f(c) = 4 - 1 - t - 12*c. Let m(h) = -h. What is f(m(u))?", "a": "12*u" }, { "q": "Let s(h) = 5*h**2. Let b(z) = z**2 - 1. Let a = 67 + -66. Let t = 4 - 8. Let o(j) = 8*j**2 - 4. Let c(y) = a*o(y) + t*b(y). Give s(c(n)).", "a": "80*n**4" }, { "q": "Let q(v) be the first derivative of -5*v**2/2 - 1. Suppose -1 = r + a, 0 = 5*r - 4*r + 4*a + 16. Let u(d) = -76*d**2 + 4*d + 75*d**2 - r*d. Calculate u(q(t)).", "a": "-25*t**2" }, { "q": "Suppose 17*k + 86 - 154 = 0. Let j(p) be the third derivative of 0*p**3 + 0 - k*p**2 + 0*p**4 + 1/15*p**5 + 0*p. Let h(m) = -m**2. Calculate h(j(s)).", "a": "-16*s**4" }, { "q": "Let m(n) = -7 + 7 - 24253*n**2 + 24260*n**2. Let v(y) = 12*y. Let d(f) = 8*f. Let k(g) = -8*d(g) + 5*v(g). Give m(k(i)).", "a": "112*i**2" }, { "q": "Let h(t) = -4919*t. Let d(q) = q**2 + 9. What is d(h(n))?", "a": "24196561*n**2 + 9" }, { "q": "Let h(o) = 7*o + 2*o + 14*o. Let x(a) be the first derivative of 2*a**3/3 - 263. Give x(h(y)).", "a": "1058*y**2" }, { "q": "Let i(b) be the third derivative of -13*b**4/24 - 1167*b**2. Let m(k) = 3*k**2 - 6*k**2 + 5*k**2. Determine i(m(q)).", "a": "-26*q**2" }, { "q": "Let q(r) be the third derivative of 27*r**2 + 1 + 7/3*r**3 + 1/8*r**4 + 0*r. Let k(s) = -2*s**2. Determine k(q(a)).", "a": "-18*a**2 - 168*a - 392" }, { "q": "Let z(l) be the first derivative of -3*l**2/2 - 571. Let c(k) = -5*k + 16. Give c(z(f)).", "a": "15*f + 16" }, { "q": "Let g(o) = -16*o. Let z(p) = 3*p + 116. Calculate z(g(q)).", "a": "-48*q + 116" }, { "q": "Let x(m) be the first derivative of 255*m**2/2 - 1489. Let l(r) = 3*r. Give l(x(t)).", "a": "765*t" }, { "q": "Let a(l) = 32*l**2 - 12 - 14 + 23 + 8*l - 5. Let m(x) = 21*x**2 + 5*x - 5. Let b(c) = -5*a(c) + 8*m(c). Let i(v) = v**2. Calculate i(b(r)).", "a": "64*r**4" }, { "q": "Let n(v) = 21*v. Let y(h) be the first derivative of -h**4/6 - 77*h - 47. Let s(q) be the first derivative of y(q). What is s(n(u))?", "a": "-882*u**2" }, { "q": "Let v(j) = -3*j + 19. Let p(u) = 6. Let m(b) = 5. Let h(i) = -7*m(i) + 6*p(i). Let k(x) = -6*h(x) + v(x). Let r(s) = -s. Give r(k(c)).", "a": "3*c - 13" }, { "q": "Let s(f) = 8*f**2. Let h = -23 - -17. Let a(r) = r + 8. Let k be a(h). Let i(n) = 2*n**2 - 2*n**2 - 2*n**k. What is s(i(t))?", "a": "32*t**4" }, { "q": "Let q(d) = -1367848*d. Let u(f) = -8*f. What is u(q(m))?", "a": "10942784*m" }, { "q": "Let f(b) = 4*b + 3. Let z(y) be the third derivative of y**4/8 + y**3/3 + y**2 - 17. Let o(w) = 2*f(w) - 3*z(w). Let g(x) = 2*x + 26. What is o(g(m))?", "a": "-2*m - 26" }, { "q": "Let v(c) = 8*c**2 + 33*c - 6. Let n(r) = 31*r**2 + 1. Determine v(n(w)).", "a": "7688*w**4 + 1519*w**2 + 35" }, { "q": "Let u(w) = w. Let k(l) = -5*l**2 - 332*l + 25. Let v(o) = -8*o**2 - 497*o + 35. Let d(s) = -7*k(s) + 5*v(s). Determine u(d(y)).", "a": "-5*y**2 - 161*y" }, { "q": "Let p(y) be the third derivative of -y**5/20 + 5*y**3/6 + 110*y**2. Let u(s) = -6*s**2. Let j(a) = -5*a**2. Let l(w) = -7*j(w) + 6*u(w). Give p(l(b)).", "a": "-3*b**4 + 5" }, { "q": "Let z(b) = -11*b. Let h(j) = -330*j. Let y(g) = -4*h(g) + 121*z(g). Let l(n) be the first derivative of 34 + 0*n + 2/3*n**3 + 0*n**2. Give y(l(v)).", "a": "-22*v**2" }, { "q": "Let o(s) = 62*s. Let y(z) be the third derivative of 11*z**5/60 - 484*z**2. Give o(y(a)).", "a": "682*a**2" }, { "q": "Let b(s) = 61*s. Let d(k) = -748*k + 49. Calculate d(b(r)).", "a": "-45628*r + 49" }, { "q": "Let b(y) = 4*y**2. Let s(v) = v**2 + 3*v + 4. Let d be s(-4). Suppose -7*c - d = -11*c. Let w(q) = -q**2 - c*q**2 - 4*q**2. Calculate w(b(m)).", "a": "-112*m**4" }, { "q": "Let b(d) = -d. Let c(v) be the first derivative of 5*v**3/3 + 1. Let h(s) = 104*s**2 - 84*s**2 - 31*s**2. Let x(n) = -5*c(n) - 2*h(n). Give b(x(y)).", "a": "3*y**2" }, { "q": "Let x(i) be the second derivative of -4*i**3/3 + 35*i**2 + i - 837. Let w(p) = 2*p. Calculate x(w(r)).", "a": "-16*r + 70" }, { "q": "Let l(d) = -130023*d**2 - 4*d. Let h(s) = -s. Calculate h(l(i)).", "a": "130023*i**2 + 4*i" }, { "q": "Let a(j) = j + 95966. Let v(d) = 10*d**2. Determine a(v(f)).", "a": "10*f**2 + 95966" }, { "q": "Let c(r) be the third derivative of -r**5/60 - 16*r**2. Let d(l) be the second derivative of l**3/2 - l**2 + 3*l. Determine d(c(i)).", "a": "-3*i**2 - 2" }, { "q": "Let z(u) be the second derivative of -u**4/6 - 819*u + 3. Let n(y) = 1036*y. Let m(k) = 37*k. Let d(c) = 111*m(c) - 4*n(c). What is z(d(v))?", "a": "-2738*v**2" }, { "q": "Let g(n) = -2*n. Let q(f) = f**2 - f + 1. Let d(a) = 23*a**2 + 7*a - 7. Let h(o) = 33*o - 12. Let p be h(1). Let i(c) = p*q(c) + 3*d(c). Determine g(i(u)).", "a": "-180*u**2" }, { "q": "Let b(l) = -9*l. Let g(q) = -3 + 617*q + 5 - 617*q + 6*q**2. Determine g(b(c)).", "a": "486*c**2 + 2" }, { "q": "Let t(f) = 70*f + 161*f - 315*f + 68*f. Let a(d) = -3*d**2 - 4*d**2 + 4*d**2. Determine t(a(l)).", "a": "48*l**2" }, { "q": "Let q(u) be the first derivative of -u**4/6 + 25*u**2/2 + u - 16. Let y(g) be the second derivative of q(g). Let c(i) = 4*i. Give c(y(b)).", "a": "-16*b" }, { "q": "Let q(w) = -3*w. Let n(p) = 373*p**2 - 3*p + 5. Let s be n(1). Let j(d) = -206*d - 198*d + s*d. Give q(j(o)).", "a": "87*o" }, { "q": "Let t(m) = -10*m**2. Let b(l) = 12479*l - 7. Calculate b(t(s)).", "a": "-124790*s**2 - 7" }, { "q": "Let s(c) = 5*c**2. Let d be (12 - (-192)/(-18)) + -1. Let o(v) be the first derivative of 0*v**2 + d*v**3 - 6 + 0*v. Calculate s(o(i)).", "a": "5*i**4" }, { "q": "Let a(g) = -76*g. Let i(l) = -l - 1. Let d(b) = -3*b. Let v(p) = d(p) - 2*i(p). Let c(m) = 1. Let y(j) = 2*c(j) - v(j). Give a(y(f)).", "a": "-76*f" }, { "q": "Let x(q) = -24*q**2 - 36*q. Let h(s) = -71*s**2 - 102*s. Let o(b) = -6*h(b) + 17*x(b). Let w(u) = 78*u. Give o(w(z)).", "a": "109512*z**2" }, { "q": "Let r(x) = -2*x**2. Let p(v) = -2089555*v. Calculate p(r(q)).", "a": "4179110*q**2" }, { "q": "Let c(l) = -13*l**2. Let q(f) = -9*f**2. Let b(o) = -o**2 + 3. Let k(d) = -d**2 + 1. Let h(g) = -b(g) + 3*k(g). Let u(a) = 6*h(a) - q(a). Determine c(u(j)).", "a": "-117*j**4" }, { "q": "Let w(p) be the third derivative of p**4/24 + 27*p**2. Let n(v) be the third derivative of -5*v**4/8 - v**3/3 - 6*v**2. What is w(n(i))?", "a": "-15*i - 2" }, { "q": "Let q(p) = 9*p + 4972. Let i(l) = 4*l**2 + 3. What is i(q(x))?", "a": "324*x**2 + 357984*x + 98883139" }, { "q": "Let v(j) = 31934*j. Let z(p) = -2*p**2 + 443*p. Calculate v(z(o)).", "a": "-63868*o**2 + 14146762*o" }, { "q": "Let r(w) = -146*w**2 + 52*w**2 + 90*w**2. Let t(q) = -16*q. What is t(r(d))?", "a": "64*d**2" }, { "q": "Let g(p) = 6*p**2 + 7. Let u(v) = -175*v + 61*v + 64*v + 46*v. Calculate u(g(q)).", "a": "-24*q**2 - 28" }, { "q": "Let k(w) = 432*w. Let u(t) be the second derivative of -t**3/6 - 214*t. What is k(u(o))?", "a": "-432*o" }, { "q": "Let x(m) be the first derivative of -m**3/3 - 1079. Let n(o) = 10*o - 16. Determine n(x(t)).", "a": "-10*t**2 - 16" }, { "q": "Let t(j) be the first derivative of 13*j**5/120 - 7*j**3 + 1. Let s(h) be the third derivative of t(h). Let m(q) = 7*q**2. Determine s(m(b)).", "a": "91*b**2" }, { "q": "Let n(z) = -54*z + 38. Let w(f) = -133*f + 3. Give n(w(u)).", "a": "7182*u - 124" }, { "q": "Let n(a) = -59*a - 156. Let x(q) = -94*q. Calculate n(x(g)).", "a": "5546*g - 156" }, { "q": "Let v(o) = -134893*o + 2. Let t(n) = n. What is t(v(g))?", "a": "-134893*g + 2" }, { "q": "Let a(w) = -23436361*w**2. Let q(r) = 2*r**2. Determine q(a(l)).", "a": "1098526033844642*l**4" }, { "q": "Let d(u) = -5*u**2. Let t be (8 - (-1 + -85))/2. Let g = -12 + 17. Let k(s) = 103 + g*s**2 - t - 56. Calculate d(k(r)).", "a": "-125*r**4" }, { "q": "Let n = 18 - -7. Let c(l) = l - n*l**2 - l + 0*l. Let d(b) = 3 + 87*b - 3 - 88*b. Determine c(d(z)).", "a": "-25*z**2" }, { "q": "Let c(u) = 2866481*u. Let s(x) = -5*x**2. Determine c(s(l)).", "a": "-14332405*l**2" }, { "q": "Let q(w) = -2*w - 5. Let n(o) = 1. Let h(t) = 5*n(t) + q(t). Let z(x) = 152*x + 32. Let a(k) = -3*k - 1. Let p(l) = 32*a(l) + z(l). Calculate h(p(i)).", "a": "-112*i" }, { "q": "Let t(a) = 5*a. Let f(i) be the second derivative of -i**4/6 - 86*i**3/3 + 125*i + 2. What is t(f(b))?", "a": "-10*b**2 - 860*b" }, { "q": "Let z(o) be the second derivative of o**4/12 - 12*o - 14. Let f(h) = 68*h - 3. Determine z(f(g)).", "a": "4624*g**2 - 408*g + 9" }, { "q": "Let q(t) = 718*t**2 - 19522 + 19522. Let b(d) = 3*d**2. What is b(q(n))?", "a": "1546572*n**4" }, { "q": "Let h(o) = 3*o + 27. Let y(x) = 9*x - 6*x - 10*x - 8*x. Calculate h(y(f)).", "a": "-45*f + 27" }, { "q": "Let h(s) be the third derivative of s**4/8 - 1173*s**2. Let t(g) = 8*g + 10. What is t(h(n))?", "a": "24*n + 10" }, { "q": "Let g(r) = -3*r - 60. Let z(i) = 17447*i. What is g(z(h))?", "a": "-52341*h - 60" }, { "q": "Let t(x) = 2*x + 5. Let j(g) = 5*g - 3*g - 3*g + 1. Let o be (8 + -4 - 5)/(-1). Let k(d) = o*t(d) - 5*j(d). Let p(y) = -y**2. Determine p(k(m)).", "a": "-49*m**2" }, { "q": "Let n(k) be the third derivative of -k**4/6 + 8647*k**2. Let z(v) = 2*v**2 - 4. Let c(a) = 3*a**2 - 7. Let i(u) = 4*c(u) - 7*z(u). Calculate i(n(h)).", "a": "-32*h**2" }, { "q": "Let y(j) = 329*j - 1. Let o(q) = -2*q + 45. Let u(g) = -g + 18. Let p(k) = 4*o(k) - 10*u(k). Give y(p(w)).", "a": "658*w - 1" }, { "q": "Let l(t) = -3*t**2. Let b be 26/(-32)*-2 + ((-135)/(-40))/9. Let n(r) be the third derivative of -7*r**b + 0 + 0*r + 0*r**3 - 11/24*r**4. Calculate n(l(w)).", "a": "33*w**2" }, { "q": "Let k(b) = -902*b. Let i(n) = n - 24. What is i(k(h))?", "a": "-902*h - 24" }, { "q": "Let w(i) be the second derivative of 155*i**3/6 + 3*i**2/2 - 6*i - 11. Let y(l) = -4*l**2. Determine y(w(d)).", "a": "-96100*d**2 - 3720*d - 36" }, { "q": "Let n(j) = j. Let l(b) be the first derivative of b**4/12 - 23*b**3/3 - b**2/2 - 71. Let k(v) be the second derivative of l(v). What is k(n(o))?", "a": "2*o - 46" }, { "q": "Let v(n) = 487112*n. Let z(d) = -29*d**2. Determine z(v(l)).", "a": "-6881064915776*l**2" }, { "q": "Let t(c) be the second derivative of -c**4 - 4*c. Let o = 76 + -74. Let i(x) = 3 + x**o - 3. Determine t(i(p)).", "a": "-12*p**4" }, { "q": "Let t(m) = 4*m**2. Let w(f) = f. Let i be ((-7)/21)/((-2)/6). Let d(c) = -2*c. Let q(b) = i*d(b) + 5*w(b). Determine t(q(k)).", "a": "36*k**2" }, { "q": "Let w(k) = -179*k**2. Let s(c) = -49433*c. Calculate s(w(q)).", "a": "8848507*q**2" }, { "q": "Let x(u) = 14*u - 29*u + 19*u. Let g(l) = 44*l**2 + 11. Let f(c) = 9*c**2 + 2. Let t(b) = -11*f(b) + 2*g(b). Give t(x(q)).", "a": "-176*q**2" }, { "q": "Suppose -9*i + 17 = -8*i. Suppose -37 = -9*r + i. Let u(b) = -23*b + 0 - 6 + r. Let k(w) = -2*w**2. Give k(u(m)).", "a": "-1058*m**2" }, { "q": "Let s(n) = 56*n - 16. Let y(k) = -37*k + 10. Let a(i) = 5*s(i) + 8*y(i). Let z(w) = -80*w**2. Give z(a(l)).", "a": "-20480*l**2" }, { "q": "Let k(r) = -575173*r**2. Let v(f) = -14*f**2. Give k(v(o)).", "a": "-112733908*o**4" }, { "q": "Let j(o) = 1042*o. Let v(u) = -3910*u**2. What is j(v(m))?", "a": "-4074220*m**2" }, { "q": "Let o(c) = -c**2 + 535*c + 10 + 558*c - 1093*c + 6*c**2. Let t(h) = -h - 1. Let z(y) = -3*y - 4. Let s(g) = 4*t(g) - z(g). Calculate o(s(p)).", "a": "5*p**2 + 10" }, { "q": "Let d(q) = 13*q**2 + 6*q. Let t(n) be the third derivative of n**4/24 - 155*n**2. Determine t(d(r)).", "a": "13*r**2 + 6*r" }, { "q": "Let g(j) = 2*j**2 - 52667. Let w(z) = -48*z**2. Calculate g(w(s)).", "a": "4608*s**4 - 52667" }, { "q": "Let p(j) = 0 - 5*j - 7*j + 0. Let m(k) = 812*k - 394*k - 421*k. What is m(p(w))?", "a": "36*w" }, { "q": "Let c = -232 + 581. Let x(j) = -c*j + 694*j - 347*j. Let f(d) = -d + 2. Let y(v) = 3*v - 9. Let o(b) = -9*f(b) - 2*y(b). Calculate x(o(p)).", "a": "-6*p" }, { "q": "Let l(u) = u + 21. Let z(r) = r + 20. Let t(o) = -6*l(o) + 7*z(o). Let q be t(-14). Let f(n) = -2*n + 2*n - 17*n + q*n. Let p(b) = -b. Calculate f(p(g)).", "a": "17*g" }, { "q": "Suppose -12*b + 8*b + 28 = 0. Let u(l) = b*l**2 - 18*l**2 - 6 - 7 + 9. Let g(n) = -2*n. Give u(g(r)).", "a": "-44*r**2 - 4" }, { "q": "Let r(u) be the first derivative of -7*u**2/2 - 644. Let a(b) = -7*b**2. Determine a(r(p)).", "a": "-343*p**2" }, { "q": "Let w(h) = -3*h. Suppose 17*m + 3*m = -41*m + 183. Let v(r) be the third derivative of -r**2 + 0 + 0*r**m + 0*r - 5/12*r**4. Give v(w(b)).", "a": "30*b" }, { "q": "Let s be (-6)/1*2*44/(-48). Let x(j) = 2*j - 36 + 47 - s. Let f(i) = -43*i**2. Calculate f(x(z)).", "a": "-172*z**2" }, { "q": "Let i(z) = -z. Let p(j) = 3*j**2 - 40. Let c(b) = -b**2 + 1. Let h(a) = -5*c(a) + p(a). Let s(q) be the first derivative of h(q). Give s(i(f)).", "a": "-16*f" }, { "q": "Let n = -141 + 193. Let o(m) = -43*m + 93*m - n*m. Let j(y) = -3*y - y + 6*y. Give o(j(z)).", "a": "-4*z" }, { "q": "Let q(i) = -210888*i**2. Let s(d) = -2*d. What is s(q(o))?", "a": "421776*o**2" }, { "q": "Let n(k) = -6*k**2 + 7*k. Let v(l) be the third derivative of l**8/10080 + 41*l**5/60 + 39*l**2. Let p(q) be the third derivative of v(q). Calculate n(p(d)).", "a": "-24*d**4 + 14*d**2" }, { "q": "Let l(t) = -27*t. Let h(p) = -18*p - 4. Let y(n) = -n + 2. Let b(d) = -2*h(d) - 4*y(d). What is l(b(m))?", "a": "-1080*m" }, { "q": "Let y(g) be the first derivative of -1247*g**2/2 - 588. Let o(c) = -2*c**2. What is y(o(m))?", "a": "2494*m**2" }, { "q": "Let b(a) = -10*a**2. Let x(v) be the second derivative of -103*v**4/12 - 92*v + 4. Give b(x(h)).", "a": "-106090*h**4" }, { "q": "Let p(j) = 67286*j. Let l(c) = 60*c**2. Give p(l(h)).", "a": "4037160*h**2" }, { "q": "Let w(u) = 6*u. Let b(f) be the first derivative of f**5/30 - 29*f**3/3 - f**2/2 + 15. Let q(p) be the third derivative of b(p). What is w(q(h))?", "a": "24*h" }, { "q": "Let q(c) = c. Let g(w) = -167*w**2 + 61874. What is q(g(y))?", "a": "-167*y**2 + 61874" }, { "q": "Let n(j) = -380*j**2. Let t(v) = 5*v**2 + 36*v + 18. Let f(p) = p**2 + 6*p + 3. Let m(d) = 6*f(d) - t(d). Calculate m(n(r)).", "a": "144400*r**4" }, { "q": "Let z(a) = -1. Let q(m) = -m - 3. Let w(b) = -q(b) + 3*z(b). Let o(f) = 68*f**2. Calculate w(o(p)).", "a": "68*p**2" }, { "q": "Let a(u) = 18*u**2. Let x(z) = 4*z**2 - 10*z + 10. Let v(c) = 4 - 5 - 2 - c**2 + 3*c. Let o(k) = -20*v(k) - 6*x(k). Determine a(o(i)).", "a": "288*i**4" }, { "q": "Let z(q) = 2*q + 79. Let o(n) = -2*n - 53. Let s be o(-28). Let h(x) = 4*x + 156. Let u(y) = s*h(y) - 7*z(y). Let r(l) = -2*l. Give r(u(v)).", "a": "4*v + 170" }, { "q": "Let g(d) = -12206790*d. Let l(y) = y**2. Determine g(l(h)).", "a": "-12206790*h**2" }, { "q": "Let m(w) = 64*w - 1. Let o(k) = -12*k - 23*k**2 + 42*k**2 - 20*k**2 + 12*k. What is o(m(j))?", "a": "-4096*j**2 + 128*j - 1" }, { "q": "Let x(d) = 7*d - 22050 + 22050 - 2*d. Let c be (1 - -1)/4*0. Let q(p) = 0 + 3*p**2 + c. Give x(q(l)).", "a": "15*l**2" }, { "q": "Let l(c) = -5*c + 91. Let g be l(13). Let s(h) = -19 - g + 45 + 4*h. Let i(x) = -8*x. Determine s(i(k)).", "a": "-32*k" }, { "q": "Let h(t) = -2*t - 32. Let a(f) = 2*f + 16. Let r(s) = -2*a(s) - h(s). Let w(v) = 4*v**2 + 10. Give r(w(k)).", "a": "-8*k**2 - 20" }, { "q": "Let v(p) = -15189*p + 30366*p - 15190*p. Let q(h) = 3*h**2 + 7*h**2 - 2*h**2. Calculate q(v(g)).", "a": "1352*g**2" }, { "q": "Let j(h) = -11 - 10 - 2*h + 21. Let n(p) = -2184*p**2 + 231*p. Let a(g) = -19*g**2 + 2*g. Let w(q) = -231*a(q) + 2*n(q). What is w(j(k))?", "a": "84*k**2" }, { "q": "Let k(s) = 4*s. Let o(h) = -h - 23. Let m(q) = -8*q - 162. Let l(w) = -2*m(w) + 15*o(w). Calculate l(k(y)).", "a": "4*y - 21" }, { "q": "Let n(l) = l - 5. Suppose -3*f + 19 = 2*w, 4*w + 12 = 4*f - 0. Let j(o) = -2*o + w*o + 69*o**2 - 67*o**2. What is j(n(b))?", "a": "2*b**2 - 20*b + 50" }, { "q": "Let f(s) = 567*s. Let p(n) = n**2 - 1. Let a(v) = 2. Let g(q) = -a(q) - 2*p(q). What is g(f(o))?", "a": "-642978*o**2" }, { "q": "Let w(j) = -38*j**2. Let r(y) = y**2 - 33*y + 203. What is r(w(i))?", "a": "1444*i**4 + 1254*i**2 + 203" }, { "q": "Let o(z) be the third derivative of -5*z**4/8 + z**2 + 1168. Let l(g) = 10*g - 2. Determine o(l(a)).", "a": "-150*a + 30" }, { "q": "Let w(s) = -7*s**2. Let m(p) = -1125426*p. Calculate m(w(t)).", "a": "7877982*t**2" }, { "q": "Let q(x) = -818*x + 1632*x - 814*x - 2*x**2. Let b(w) = -107*w**2. Calculate q(b(m)).", "a": "-22898*m**4" }, { "q": "Let c(w) = -1269*w**2. Let j(n) = 1933*n. Give j(c(a)).", "a": "-2452977*a**2" }, { "q": "Let y(t) = t**2 + 29*t + 3. Let g(o) = -8*o**2 - 242*o - 25. Let p(f) = 6*g(f) + 50*y(f). Let b(x) = 17*x. Give b(p(j)).", "a": "34*j**2 - 34*j" }, { "q": "Let a(p) = -10302*p**2 - 3. Let b(y) = 69*y. Calculate a(b(t)).", "a": "-49047822*t**2 - 3" }, { "q": "Let b(m) be the third derivative of m**5/30 + 256*m**2. Let p(f) = 93*f**2. Determine b(p(t)).", "a": "17298*t**4" }, { "q": "Let l(v) = -3*v**2 + 4860*v - 4. Let d(t) = -12*t**2. What is l(d(n))?", "a": "-432*n**4 - 58320*n**2 - 4" }, { "q": "Let p(q) = 553475*q. Let k(f) = -634*f. Let b(h) = -2620*k(h) - 3*p(h). Let v(d) = -d**2. Give b(v(g)).", "a": "-655*g**2" }, { "q": "Let x(w) = 2*w**2 + 11. Let u(v) be the first derivative of -v**5/120 - 10*v**3/3 + 3*v - 8. Let g(k) be the third derivative of u(k). What is x(g(a))?", "a": "2*a**2 + 11" }, { "q": "Let c(y) = -2*y**2 + 7. Let i = 120 - 119. Let z(o) = o - 1. Let r(u) = 6*u - 3. Let p(n) = i*r(n) - 3*z(n). Calculate c(p(j)).", "a": "-18*j**2 + 7" }, { "q": "Let q(p) = -13*p**2. Let t(a) be the first derivative of -27*a**3 - a - 1487. What is q(t(d))?", "a": "-85293*d**4 - 2106*d**2 - 13" }, { "q": "Let g(j) = j**2 - 148*j. Let d(y) = -y**2 + 148*y. Let r(t) = -5*d(t) - 4*g(t). Let i(q) = -q**2. Calculate i(r(s)).", "a": "-s**4 + 296*s**3 - 21904*s**2" }, { "q": "Let p(s) = 1314 + 1313 + 1314 - 14*s**2 - 3938. Let x(q) = -11*q. Give p(x(t)).", "a": "-1694*t**2 + 3" }, { "q": "Let u = -26 - -27. Let f(r) be the first derivative of u + 2 + 4*r**3 + r**3. Let k(o) = o**2. Determine f(k(j)).", "a": "15*j**4" }, { "q": "Let j(f) be the first derivative of 482*f**3/3 - 920. Let x(p) = 4*p. What is x(j(c))?", "a": "1928*c**2" }, { "q": "Let r(l) = 7*l**2 - 6440*l. Let d(b) = -4*b**2. Calculate r(d(a)).", "a": "112*a**4 + 25760*a**2" }, { "q": "Let p(o) = 6*o + 92. Let y(z) = 0*z**2 + 37*z**2 - 13*z**2 - 22*z**2. What is y(p(i))?", "a": "72*i**2 + 2208*i + 16928" }, { "q": "Let b(f) = f**2 - 111. Let i(p) = -85338*p. Give i(b(d)).", "a": "-85338*d**2 + 9472518" }, { "q": "Let l(s) = -3*s**2 - 8*s. Let m(j) = -j - 122662. Give m(l(k)).", "a": "3*k**2 + 8*k - 122662" }, { "q": "Let b(t) = t. Let z be 1 + (286/10 - (-6)/15). Let h(g) be the first derivative of 0 + z*g**2 - 32*g**2 + 3. What is b(h(p))?", "a": "-4*p" }, { "q": "Let h(o) be the first derivative of 8 + 0*o + 3/2*o**2. Let a(v) = 4*v - 2. Let n(f) = -12*f + 7. Let b(i) = 7*a(i) + 2*n(i). Calculate b(h(x)).", "a": "12*x" }, { "q": "Let q(i) = -3*i**2 + 3. Let t(z) = 1. Let w(f) = -3*q(f) + 9*t(f). Let j(p) be the third derivative of -p**4/8 + 21*p**2 - 2*p - 2. Give j(w(m)).", "a": "-27*m**2" }, { "q": "Suppose -24*b - 40 = -88. Let f(p) be the second derivative of -4*p + 0*p**3 + 0 + 0*p**b - 1/3*p**4. Let k(t) = 5*t**2. Determine k(f(v)).", "a": "80*v**4" }, { "q": "Let q(j) = -341855*j**2. Let t(m) = -m**2. Determine t(q(k)).", "a": "-116864841025*k**4" }, { "q": "Let l(k) = -4*k + 26. Let w(d) = -1 + 3*d + 6 - 1 - 4. Give l(w(o)).", "a": "-12*o + 26" }, { "q": "Let a(d) be the third derivative of -5/24*d**4 + 9*d**2 + 0*d + 1 + 0*d**3. Let p(z) = -3*z. Determine p(a(u)).", "a": "15*u" }, { "q": "Let j(m) = -2440 - 2447 + 4887 - 18*m. Let c(w) = 43*w**2. Give c(j(q)).", "a": "13932*q**2" }, { "q": "Let x(m) = 2*m. Let g(b) = 2*b - 52. Let s(v) = -2. Let y(u) = g(u) + 3*s(u). Calculate y(x(z)).", "a": "4*z - 58" }, { "q": "Let l(k) = 137*k**2 + 468*k**2 - 192*k**2. Let a(z) = 2*z. Give l(a(m)).", "a": "1652*m**2" }, { "q": "Let m(v) = 3025*v + 2016*v + 2428*v - 8601*v. Let a(y) = y**2. Determine a(m(r)).", "a": "1281424*r**2" }, { "q": "Let x(i) = -3*i + 19. Let u(j) = 48*j**2 - 636*j. Calculate x(u(y)).", "a": "-144*y**2 + 1908*y + 19" }, { "q": "Let y(s) = -5*s + s + 15*s - 14*s. Let p(n) = n + 285. What is y(p(x))?", "a": "-3*x - 855" }, { "q": "Let y(o) be the second derivative of o**4/3 + o. Let k(q) be the first derivative of -9*q**2/2 - 12877. Determine k(y(b)).", "a": "-36*b**2" }, { "q": "Let f(z) be the first derivative of -13*z**6/120 - z**3/3 - 50*z - 73. Let x(u) be the third derivative of f(u). Let j(t) = -2*t**2. What is j(x(w))?", "a": "-3042*w**4" }, { "q": "Let v(x) = -x**2. Let y(l) = l**2 + l. Let b(i) = 82*i**2 - 7*i. Let u(j) = 5*b(j) + 35*y(j). Give u(v(q)).", "a": "445*q**4" }, { "q": "Let i(d) = d**3 + 26*d**2 + 49*d + 24. Let s be i(-24). Let f(v) be the second derivative of -1/3*v**3 + s*v**2 + 0 - 18*v. Let h(n) = -7*n**2. Give f(h(p)).", "a": "14*p**2" }, { "q": "Let s(m) = -10*m - 11. Let o(v) = -v**2 - 2*v - 2. Let t(n) be the second derivative of n**3/6 + n**2/2 + 60*n. Let d(j) = -o(j) - 2*t(j). Give s(d(l)).", "a": "-10*l**2 - 11" }, { "q": "Let x(j) = 5*j**2. Let p(c) be the third derivative of -121*c**5/12 + 388*c**2. Give p(x(y)).", "a": "-15125*y**4" }, { "q": "Let j(n) = 132*n - 130*n**2 - 64*n - 68*n. Let s(r) = -1. Let g(w) = w - 5. Let m(k) = g(k) - 5*s(k). Give m(j(h)).", "a": "-130*h**2" }, { "q": "Let x(n) = -5593867*n**2. Let a(t) = -t. Give x(a(j)).", "a": "-5593867*j**2" }, { "q": "Let f(n) be the first derivative of 7*n**3/3 + 649. Let z(w) = -4*w - 2. Calculate z(f(h)).", "a": "-28*h**2 - 2" }, { "q": "Let o(b) be the first derivative of -3*b**2/2 + 4*b + 1. Let z(x) = 0*x + 1263 - 1254 - 7*x. Let j(v) = -9*o(v) + 4*z(v). Let i(p) = 6*p. Calculate j(i(u)).", "a": "-6*u" }, { "q": "Let v(w) be the third derivative of 159*w**5/20 - 1263*w**2. Let l(i) = -3*i**2. What is v(l(m))?", "a": "4293*m**4" }, { "q": "Let v(w) = 3*w. Let s(p) = 16*p + 2. Let j be s(0). Suppose 0 = 3*f - 9 + 3. Let m(q) = 0*q**j + 4*q**f - 6*q**2. Determine m(v(r)).", "a": "-18*r**2" }, { "q": "Let q(z) be the third derivative of -16*z**5/15 - 32*z**2 - 15. Let l(c) = -19*c**2. Calculate l(q(o)).", "a": "-77824*o**4" }, { "q": "Let s(m) = m. Let a(d) be the first derivative of 16*d**2 - 15*d + 1231. Give s(a(c)).", "a": "32*c - 15" }, { "q": "Let l(x) = -7*x**2. Let m(a) = -a**2 - 2258*a - 2. What is m(l(w))?", "a": "-49*w**4 + 15806*w**2 - 2" }, { "q": "Let d(q) be the second derivative of 1/2*q**3 + 0*q**2 + 0 - 16*q. Let y(z) = -6*z + 2. What is d(y(i))?", "a": "-18*i + 6" }, { "q": "Let k(c) = 43*c. Let v(n) = 14*n + 5395. Give k(v(y)).", "a": "602*y + 231985" }, { "q": "Let v(k) = 5*k**2 + 12. Let c(a) = a**2 - a + 6248. Calculate c(v(r)).", "a": "25*r**4 + 115*r**2 + 6380" }, { "q": "Let i(p) be the second derivative of -p**4/12 + 55*p + 10. Let y(o) = 828*o. Determine y(i(g)).", "a": "-828*g**2" }, { "q": "Let s(v) = 141*v - 4. Let h(t) = -25*t + 101. What is s(h(x))?", "a": "-3525*x + 14237" }, { "q": "Let n(k) = 4*k. Let t(u) be the second derivative of -u**3/3 - 546*u. Calculate n(t(j)).", "a": "-8*j" }, { "q": "Let r(l) = 2*l**2 + 50*l. Let s(o) be the first derivative of o**3/3 - 92. What is r(s(x))?", "a": "2*x**4 + 50*x**2" }, { "q": "Let z(l) be the second derivative of l**4/12 - 16*l. Let w(f) = 4*f + 95. What is z(w(c))?", "a": "16*c**2 + 760*c + 9025" }, { "q": "Let g be (-8)/6*1*-3. Let b(z) = -z + g*z - 4*z. Let a(d) = 1460 + 17*d**2 - 4379 + 1462 + 1457. Give a(b(i)).", "a": "17*i**2" }, { "q": "Let q(b) = -3*b**2 + 5*b. Let t(a) = -8*a**2 + 14*a. Let h(c) = -14*q(c) + 5*t(c). Let j(i) = 1248 - 642 - 3*i**2 - 606. What is j(h(v))?", "a": "-12*v**4" }, { "q": "Let o(t) = -t. Let w(a) = -4*a. Suppose p = 22 + 5. Let m = 21 - p. Let b(i) = m*o(i) + 2*w(i). Let y(l) = -9*l**2. What is b(y(j))?", "a": "18*j**2" }, { "q": "Let n(d) = 2*d**2 - 4. Let t(s) = 6*s**2 - 9. Let b(y) = 3*y**2 - 9*y - 3. Let o be b(4). Let r(z) = o*n(z) - 4*t(z). Let j(k) = -3*k**2. Determine r(j(u)).", "a": "-54*u**4" }, { "q": "Let u(r) = 67*r - 2. Let h(l) = -21402*l. Calculate u(h(k)).", "a": "-1433934*k - 2" }, { "q": "Let n(x) = -148553*x. Let g(j) = -9*j**2. Calculate n(g(v)).", "a": "1336977*v**2" }, { "q": "Let j(i) = -11*i**2 + 1560*i - 1560*i + 5 - 5. Let c(o) = -13*o**2. Give c(j(b)).", "a": "-1573*b**4" }, { "q": "Let g(f) = 2507*f**2. Let u(k) = -729*k. Calculate u(g(p)).", "a": "-1827603*p**2" }, { "q": "Let i(o) = 18*o**2 - 5*o + 55. Let v(l) = -116*l**2 + 32*l - 352. Let s(n) = -32*i(n) - 5*v(n). Let j(x) = -141*x**2 - 2*x. Give j(s(p)).", "a": "-2256*p**4 - 8*p**2" }, { "q": "Let z(t) be the third derivative of -19*t**5/30 + 297*t**2. Let d(q) = -55*q. What is d(z(u))?", "a": "2090*u**2" }, { "q": "Let p(m) be the first derivative of -2*m**3 - 1. Suppose 3*r - 6 = 5*v, -2*r + v = 3*r - 10. Let t(l) = 117 - 60 + r*l - 57. Give p(t(n)).", "a": "-24*n**2" }, { "q": "Let p(o) = -20*o. Let j(x) = -x**3 + 22*x**2 - 20*x - 19. Let y be j(21). Let h(g) = -52*g**y + 29*g**2 + 26*g**2. Give p(h(l)).", "a": "-60*l**2" }, { "q": "Let m(t) = -481*t**2. Let s(p) = 2*p**2 + 2806*p. Give s(m(c)).", "a": "462722*c**4 - 1349686*c**2" }, { "q": "Let n(w) be the second derivative of 5*w**4/12 + 2*w. Let p be 0 + 4/(-14)*-7. Let h(r) = 7*r**p - 1234*r + 619*r + 615*r. What is h(n(a))?", "a": "175*a**4" }, { "q": "Let k(b) = b. Let d(v) = -172*v**2 + 80*v**2 - 160*v**2 - 37*v**2. Calculate d(k(j)).", "a": "-289*j**2" }, { "q": "Let l(b) = -3*b**2 + 4*b**2 + b + 13 - 8 - 4. Let c(r) = 6*r**2 + 5*r + 5. Let g(d) = c(d) - 5*l(d). Let v(t) = 3*t. Calculate v(g(x)).", "a": "3*x**2" }, { "q": "Let l(p) = -p**2. Let t(f) be the third derivative of -209*f**4/24 + 190*f**2 - 2*f. Calculate l(t(o)).", "a": "-43681*o**2" }, { "q": "Let i(r) = -6040209*r. Let h(p) = -p**2. Give i(h(f)).", "a": "6040209*f**2" }, { "q": "Let a(t) = -3*t - 74. Let f be a(-26). Let c(o) = f*o + o - 5*o - o. Let v(z) = -99*z**2. Calculate v(c(h)).", "a": "-99*h**2" }, { "q": "Let m(w) = -2*w**2. Let d(f) = 176*f + 88. Give m(d(s)).", "a": "-61952*s**2 - 61952*s - 15488" }, { "q": "Suppose -5*v + 4 = -2*h, -593*v - 3*h - 6 = -591*v. Let i(d) be the second derivative of -17/6*d**3 + v - 3*d + 0*d**2. Let m(k) = k. Calculate m(i(n)).", "a": "-17*n" }, { "q": "Let n(z) be the first derivative of -37*z**2 + 551. Let h(q) = 3*q. Determine h(n(v)).", "a": "-222*v" }, { "q": "Let v(x) = 155*x + 2. Let i(o) be the first derivative of o**2/2 - 861. Calculate i(v(r)).", "a": "155*r + 2" }, { "q": "Suppose 3*v + 12*v = 465. Let b(u) = -7*u - 10*u - 10*u + v*u. Let o(j) = 11*j**2. Calculate b(o(l)).", "a": "44*l**2" }, { "q": "Let z(s) = -3*s. Let x(k) = -10*k**2 + 139*k + 4. Let v(d) = 24*d**2 - 276*d - 10. Let y(g) = -2*v(g) - 5*x(g). Determine y(z(t)).", "a": "18*t**2 + 429*t" }, { "q": "Suppose 4*n = 6*f - f, -n = -5. Suppose 10 = f*w - 54. Let s(a) = -7*a - 17*a + 12*a - w*a. Let k(l) = 2*l**2. Calculate s(k(u)).", "a": "-56*u**2" }, { "q": "Let p(g) = -150*g - 141. Let s(a) = 36*a + 34. Let f(n) = 5*p(n) + 21*s(n). Let m(k) = 4*k. Determine m(f(x)).", "a": "24*x + 36" }, { "q": "Let g(l) = 3*l - 5. Let c(m) = -1571*m**2 + 41*m. Determine g(c(w)).", "a": "-4713*w**2 + 123*w - 5" }, { "q": "Let f(c) be the third derivative of 3*c**5 + 264*c**2. Let k(b) = -b**2. Calculate k(f(r)).", "a": "-32400*r**4" }, { "q": "Let c(n) = n**2. Suppose 3*d = 6*d - 12. Suppose -d*q = 4*g, 12 = 3*g - 6*g. Let v(y) = 14*y - q*y - 15*y. Give v(c(z)).", "a": "-5*z**2" }, { "q": "Let b(h) = -3*h + 208. Let s(m) = m - 78. Let z(r) = -3*b(r) - 8*s(r). Let u(l) = 74*l**2. What is z(u(j))?", "a": "74*j**2" }, { "q": "Let p(g) be the first derivative of -5*g**2/2 - 504. Let a(z) = 218*z**2. Give p(a(w)).", "a": "-1090*w**2" }, { "q": "Let w(j) = 4*j. Let a(m) be the first derivative of 9*m**2 - 1/30*m**5 + 1 + 0*m**4 + 0*m + 0*m**3. Let p(u) be the second derivative of a(u). What is w(p(x))?", "a": "-8*x**2" }, { "q": "Let f(q) = 2*q - 17454223. Let c(d) = -d. Give f(c(k)).", "a": "-2*k - 17454223" }, { "q": "Let v(k) = -k**2 - 451. Let i(n) = 2422*n + 5*n**2 - 2422*n - 7*n**2. What is v(i(b))?", "a": "-4*b**4 - 451" }, { "q": "Let a(b) = -9*b**2. Let l(s) be the third derivative of 4*s**5/15 + 9*s**2 - 2. Let q(n) = -7*a(n) - 4*l(n). Let h(t) = -34*t. What is h(q(p))?", "a": "34*p**2" }, { "q": "Let v(p) = -4*p**2. Let f(w) = 259582*w**2. Calculate v(f(n)).", "a": "-269531258896*n**4" }, { "q": "Let t(m) = -16005383*m. Let w(h) = -h**2. What is t(w(r))?", "a": "16005383*r**2" }, { "q": "Let c(o) = 10*o. Let p(l) = 3*l - 139. Let z(s) = 2*s - 101. Let d(u) = 5*p(u) - 7*z(u). Give d(c(w)).", "a": "10*w + 12" }, { "q": "Let z(j) = j - 2. Let m(i) = -55*i**2 - 14. Let h(p) = -8*p**2 - 2. Let n(l) = -28*h(l) + 4*m(l). Calculate z(n(x)).", "a": "4*x**2 - 2" }, { "q": "Let d(b) be the third derivative of b**4/12 - 385*b**3/6 + 533*b**2 - 1. Let t(x) = 4*x**2. Determine d(t(i)).", "a": "8*i**2 - 385" }, { "q": "Let v(p) be the third derivative of -3*p**4/8 - 2*p**3/3 + 53*p**2 + 6. Let u(l) = -12*l**2. Determine u(v(q)).", "a": "-972*q**2 - 864*q - 192" }, { "q": "Let a(t) = t**2. Let x = 178 + -185. Let l(m) = 9*m**2 + 2. Let r(z) = 27*z**2 + 7. Let i(d) = x*l(d) + 2*r(d). What is a(i(j))?", "a": "81*j**4" }, { "q": "Let j = 815 + -384. Let q(v) = -j + 4*v + 431. Let o(r) = 3*r. Determine q(o(x)).", "a": "12*x" }, { "q": "Let b(q) = -q**2 - 1. Let w(j) be the second derivative of 11*j**4/12 - 810*j. Calculate b(w(i)).", "a": "-121*i**4 - 1" }, { "q": "Let k = 1116 + -1114. Let r(t) be the third derivative of -5/6*t**4 + 0*t + 0 + 13*t**k + 0*t**3. Let b(j) = j**2. Calculate b(r(c)).", "a": "400*c**2" }, { "q": "Let n(b) = b + 4. Let v be (-2 - -5)*22/6. Let d(h) = -45 + 0 - 3*h + 18 + 6 + 10. Let c(z) = v*n(z) + 4*d(z). Let x(g) = 13*g**2. What is x(c(u))?", "a": "13*u**2" }, { "q": "Let u(a) = -2*a**2 - 4. Let r(b) = -10*b**2 + 16. Let i(d) = 25*d**2 + 23*d**2 - 45*d**2 - 5. Let z(q) = -16*i(q) - 5*r(q). Determine u(z(k)).", "a": "-8*k**4 - 4" }, { "q": "Let x(o) = 3*o**2. Let v(r) = 2*r**2 - 38*r**2 + 26*r + 23*r**2 - 13. Let z(u) = 7*u**2 - 12*u + 6. Let w(f) = -6*v(f) - 13*z(f). Give w(x(a)).", "a": "-117*a**4" }, { "q": "Let a be (-2)/(-3) + (-228)/18. Let r = 29 + a. Let y(g) = 480 - 480 + r*g**2. Let i(z) = -2*z. Give i(y(t)).", "a": "-34*t**2" }, { "q": "Let j(u) = 19646*u + 36. Let m(p) = 8*p**2. Calculate j(m(n)).", "a": "157168*n**2 + 36" }, { "q": "Let g(p) = 16*p**2. Let h(r) = -357640*r. Determine g(h(o)).", "a": "2046501913600*o**2" }, { "q": "Let y(i) = -2*i**2. Let k(w) = -7159297*w. Give y(k(n)).", "a": "-102511067068418*n**2" }, { "q": "Let v(f) be the third derivative of f**4/12 + 437*f**2 - 1. Let h(g) = 302*g**2. Give v(h(w)).", "a": "604*w**2" }, { "q": "Let j(i) = 7*i**2 - 10213*i + 3. Let d(o) = 18*o. What is j(d(q))?", "a": "2268*q**2 - 183834*q + 3" }, { "q": "Let w(z) = z. Let v(y) be the third derivative of y**6/180 - 5*y**4/4 - 13*y**3/3 - 66*y**2. Let l(p) be the first derivative of v(p). Give w(l(k)).", "a": "2*k**2 - 30" }, { "q": "Let h(t) = -2*t. Let q(x) = 9*x - 1688 - 11*x + 9*x - 8*x. Determine q(h(l)).", "a": "2*l - 1688" }, { "q": "Let u(r) = -37*r**2. Let j(g) be the first derivative of 51*g**2/2 - 531. Determine u(j(x)).", "a": "-96237*x**2" }, { "q": "Let x(l) = 69*l - 2251. Let q(y) = -7*y**2. Give x(q(v)).", "a": "-483*v**2 - 2251" }, { "q": "Let n(y) = 45*y**2 - 45*y - 15. Let i(s) = -2*s**2 + 3*s + 1. Let w(a) = 60*i(a) + 4*n(a). Let f(r) = 10*r**2. What is f(w(d))?", "a": "36000*d**4" }, { "q": "Let i(h) = -7 + 1 - 36216*h**2 + 36218*h**2. Let w(y) be the second derivative of -y**4/6 + y. What is i(w(t))?", "a": "8*t**4 - 6" }, { "q": "Let t(v) be the third derivative of v**7/504 - v**5/30 + 47*v**4/24 + 68*v**2. Let o(r) be the third derivative of t(r). Let m(c) = -3*c**2. Give o(m(a)).", "a": "-30*a**2" }, { "q": "Let k(j) = -6486*j + 2. Let g(w) = w - 277. Give k(g(m)).", "a": "-6486*m + 1796624" }, { "q": "Let o(m) = 9*m + 2. Suppose -27*u = -20*u - 175. Let l(y) = -49 + u + 24 - 2*y. Determine l(o(g)).", "a": "-18*g - 4" }, { "q": "Let b(j) be the third derivative of -1/12*j**4 + 0*j**3 - 4*j**2 + 6*j + 0. Let a(s) = 3*s**2 - 6*s. Determine a(b(c)).", "a": "12*c**2 + 12*c" }, { "q": "Let h(u) = -55*u + 4. Let s(j) = -4117*j + 299. Let p(r) = 299*h(r) - 4*s(r). Let c(t) = -4*t + 7. Give p(c(o)).", "a": "-92*o + 161" }, { "q": "Let y(x) = -4*x**2 - 1. Let f(b) = -3*b**2 - 140. Let c(t) = 20. Let s(g) = -7*c(g) - f(g). Determine s(y(z)).", "a": "48*z**4 + 24*z**2 + 3" }, { "q": "Let o(i) = -5*i - 2*i + i. Let z(c) be the second derivative of 1/6*c**4 + 0*c**3 + 16 + 0*c**2 + c. What is z(o(x))?", "a": "72*x**2" }, { "q": "Let t(f) be the third derivative of f**4/24 - 51*f**2 + 5*f. Let c(g) be the third derivative of -g**5/60 + 9*g**2. Give t(c(d)).", "a": "-d**2" }, { "q": "Let r(k) = 3*k. Let y(f) = -417022*f. Determine r(y(c)).", "a": "-1251066*c" }, { "q": "Let t(u) = -10596*u. Let d(r) = 149*r**2. What is d(t(n))?", "a": "16729007184*n**2" }, { "q": "Suppose 4*j - 3 = 4*o + 61, 0 = -4*j - 2*o + 52. Let m(i) = -14*i**2 + i**2 + 36*i**2 - j*i**2. Let b(d) = -7*d**2. Give m(b(k)).", "a": "441*k**4" }, { "q": "Let s(y) = -y**2 + 10. Let k(f) = 173974*f**2. Calculate s(k(n)).", "a": "-30266952676*n**4 + 10" }, { "q": "Let i(j) = -23*j. Let p(l) = -100515*l. Give p(i(k)).", "a": "2311845*k" }, { "q": "Let d(c) be the first derivative of 2*c**3/3 + 123*c + 375. Let t(f) = 2*f. Determine d(t(v)).", "a": "8*v**2 + 123" }, { "q": "Let o(l) = -l**2 - 4*l - 6. Let c(y) = 4*y**2 + 18*y + 27. Let x(f) = -2*c(f) - 9*o(f). Let m(n) = -869*n**2. Calculate m(x(b)).", "a": "-869*b**4" }, { "q": "Let x(g) = 6*g. Let d(a) = a + 8. Let w(c) = -1. Let k(t) = -d(t) - 4*w(t). Let n be k(-6). Let v(q) = -n + 2 - 4*q + 10*q. Give v(x(y)).", "a": "36*y" }, { "q": "Let l(r) = 321 - 773*r**2 + 767*r**2 + 2*r - 323 - 2*r. Let u(s) be the second derivative of -s**4/12 + s. What is l(u(c))?", "a": "-6*c**4 - 2" }, { "q": "Let l(n) = 4*n**2. Let d(k) = -14*k - 68. Let i(h) = -9*h - 45. Let p(f) = 5*d(f) - 8*i(f). Determine l(p(b)).", "a": "16*b**2 + 320*b + 1600" }, { "q": "Let g(q) = -3*q + 28. Let v(m) = 2*m - 42. Let k(b) = -3*g(b) - 2*v(b). Let z(t) = 363*t**2. What is k(z(a))?", "a": "1815*a**2" }, { "q": "Let w(p) = 2*p**2 + 21*p + 14. Let o(n) = n**2 + 12*n + 8. Let s(g) = 7*o(g) - 4*w(g). Let b(i) = i - 1462. Give s(b(u)).", "a": "-u**2 + 2924*u - 2137444" }, { "q": "Let j(b) = b**2. Let k(o) = 1464331*o**2. Calculate j(k(h)).", "a": "2144265277561*h**4" }, { "q": "Let d(k) = -13*k. Let j(v) = 19 + 16 - 13 - 2*v - 3*v + 4*v. Give d(j(o)).", "a": "13*o - 286" }, { "q": "Let j(f) = -3*f**2 + 3*f. Let m(r) = r**3 + 3*r**2 - 3*r - 13. Let h be m(-3). Let y(d) = 4*d. Let o(p) = 3*p. Let g(s) = h*y(s) + 5*o(s). Calculate j(g(z)).", "a": "-3*z**2 - 3*z" }, { "q": "Let n(l) = -3*l. Let z(k) = k**3 + 9*k**2 + 12*k + 16. Let b be (-8)/(-48) + (-86)/12. Let y be z(b). Let i(f) = -y + 30 - 10*f. What is i(n(w))?", "a": "30*w" }, { "q": "Let a(f) = 14*f. Suppose 0 = j - 0*x - 2*x - 18, 2*j - 37 = 3*x. Let q(p) = 22*p**2 + 4*p**2 - j*p**2. What is q(a(r))?", "a": "1176*r**2" }, { "q": "Let m(p) = 2*p**2. Let t(n) be the second derivative of -13*n**2/2 + 30*n. Let a(f) = -f**2 - 38. Let r(l) = 2*a(l) - 7*t(l). Determine r(m(v)).", "a": "-8*v**4 + 15" }, { "q": "Let u(m) = 7*m**2. Suppose -13*d = -16*d + 3. Let h be 17 - (-6)/(-3)*d/(-2). Let q(x) = -18*x + 3*x**2 + h*x. Calculate u(q(t)).", "a": "63*t**4" }, { "q": "Let t(m) = 9*m + 21*m - 44*m + 12*m. Let l(p) = 3*p**2 + 905. Determine l(t(s)).", "a": "12*s**2 + 905" }, { "q": "Let t(g) = -g + 97. Let f(m) = -830*m**2 - m - 2. Give f(t(o)).", "a": "-830*o**2 + 161021*o - 7809569" }, { "q": "Let d(x) = -3*x. Let h(p) = -815718 + 12*p + 815718 + 90*p. Calculate d(h(q)).", "a": "-306*q" }, { "q": "Let n(v) = -49*v. Let x(s) = -83394*s. Determine n(x(g)).", "a": "4086306*g" }, { "q": "Let t(b) be the first derivative of 1/3*b**3 + 0*b + 0*b**2 - 60. Let z(v) = -33*v**2. Give z(t(a)).", "a": "-33*a**4" }, { "q": "Let v(a) = 31*a**2. Suppose 4*o - 7 = 1. Let k(z) = -10*z - 11*z + z**o + 21*z. Give v(k(u)).", "a": "31*u**4" }, { "q": "Let l(y) be the third derivative of -13*y**5/15 + 7*y**2. Let h(b) be the second derivative of b**3/3 - 388*b. What is l(h(q))?", "a": "-208*q**2" }, { "q": "Let f(d) be the third derivative of 73*d**5/60 + 135*d**2. Let s(a) be the first derivative of -a**3/3 - 2. Give f(s(h)).", "a": "73*h**4" }, { "q": "Let o(b) be the second derivative of -b**6/40 + 13*b**3/2 - 35*b + 1. Let x(t) be the second derivative of o(t). Let w(q) = -5*q**2. Give x(w(j)).", "a": "-225*j**4" }, { "q": "Let w(c) = 99*c - 32*c - 34*c - 32*c. Let d(l) = 9*l + l - l. Calculate d(w(s)).", "a": "9*s" }, { "q": "Let j(c) be the second derivative of 313*c**4/2 - 65*c. Let q(o) = -2*o**2. What is q(j(h))?", "a": "-7053768*h**4" }, { "q": "Let m(o) = 2*o**2. Let k = -7 - -8. Let s(t) = 4*t**2 + 28*t + 3. Let d be s(-7). Let z(a) = -k + 2 - 1 - d*a**2. Determine z(m(b)).", "a": "-12*b**4" }, { "q": "Let n(r) = -r - 407 + 221 + 186. Let m(x) be the third derivative of x**8/10080 + x**5/20 - 2*x**2. Let v(q) be the third derivative of m(q). Give v(n(b)).", "a": "2*b**2" }, { "q": "Let v(s) be the second derivative of 5*s**4/4 + 80*s - 2. Let q(u) = 73*u + 2. Give q(v(n)).", "a": "1095*n**2 + 2" }, { "q": "Let r(h) = -2*h**2. Suppose 5*j - 9 = -2*s, 25*j - 22*j - 4*s = -5. Let d(v) be the first derivative of 0*v**2 + 0*v - 5/3*v**3 + j. Calculate d(r(n)).", "a": "-20*n**4" }, { "q": "Let s(z) = 468*z. Let t(q) = 6*q + 53. Determine s(t(y)).", "a": "2808*y + 24804" }, { "q": "Let w(g) = -153*g + 0 + 70*g + 0 + 84*g. Let d(b) = 9*b**2 - 26. Calculate d(w(t)).", "a": "9*t**2 - 26" }, { "q": "Let x(y) = 4*y**2 + 7. Let j(h) = -2*h**2 + 10*h - 10. Let f(l) = -l**2 - 2*l + 2. Let r(i) = 5*f(i) + j(i). What is x(r(z))?", "a": "196*z**4 + 7" }, { "q": "Let d(j) be the first derivative of j**3/3 + 333. Let i(u) = -490*u. What is d(i(h))?", "a": "240100*h**2" }, { "q": "Let c(t) = -21*t + 3. Let k(r) = 32*r - 5. Let b(v) = 7*c(v) + 5*k(v). Let m(y) = -209*y + 66. Let d(u) = -33*b(u) - 2*m(u). Let z(h) = -5*h. What is z(d(x))?", "a": "55*x" }, { "q": "Let n(z) = 835*z**2. Let k(g) = -5057*g. Determine n(k(m)).", "a": "21353662915*m**2" }, { "q": "Let c(p) = 36*p. Let w(z) = 7*z. Let o(l) = 4*c(l) - 22*w(l). Let d(q) be the second derivative of 0 + 0*q**2 + 0*q**3 + 1/12*q**4 - 3*q. Calculate o(d(u)).", "a": "-10*u**2" }, { "q": "Let w(y) = 4*y**2. Suppose 2*l + 2*l + 16 = 0. Let c(u) = u. Let z(s) = 9*s. Let x(d) = l*z(d) + 20*c(d). Calculate x(w(k)).", "a": "-64*k**2" }, { "q": "Let d(n) = 13 - 41 + 15 + 101*n**2 + 13. Let j(t) = -22*t**2. Determine d(j(p)).", "a": "48884*p**4" }, { "q": "Let s(b) = -2*b**2 - 6*b**2 + 2*b**2. Let m(h) = -6*h**2 + 336*h. Let d(i) = 6*i**2 - 280*i. Let p(o) = -6*d(o) - 5*m(o). Calculate s(p(y)).", "a": "-216*y**4" }, { "q": "Let q(b) = 627*b**2. Let n(u) = -470*u - 4. What is n(q(w))?", "a": "-294690*w**2 - 4" }, { "q": "Let g(h) = -2*h. Let c(y) = 11*y + 38. Let q(f) = -63*f + 83*f - 44*f - 75. Let l(z) = -13*c(z) - 6*q(z). What is l(g(a))?", "a": "-2*a - 44" }, { "q": "Let d(s) be the first derivative of 5/3*s**3 - 1/2*s**2 + 25 + 0*s. Let j(z) = z**2. What is d(j(x))?", "a": "5*x**4 - x**2" }, { "q": "Let m(w) = 0*w - 5*w**2 + 0*w. Let k(i) = -10*i**2 - 3*i. Let c(n) = 22*n**2 + 7*n. Suppose 4*p - 19 = -31. Let a(s) = p*c(s) - 7*k(s). What is m(a(d))?", "a": "-80*d**4" }, { "q": "Let u(k) = 17*k + 6. Let o(l) = 340*l + 119. Let w(h) = -h**3 - 6*h**2 + 6. Let x be w(-6). Let m(g) = x*o(g) - 119*u(g). Let d(n) = n**2. Calculate d(m(z)).", "a": "289*z**2" }, { "q": "Let f(b) = -66*b. Let g(a) be the first derivative of -4*a**2 - 1047. Determine f(g(x)).", "a": "528*x" }, { "q": "Let y(j) = -j**2 - 3*j**2 - 2*j**2. Let w(f) be the first derivative of -f**3/3 - 8102. Determine w(y(d)).", "a": "-36*d**4" }, { "q": "Let v(u) = -13*u. Suppose -4*f + 2*j + 17 = -j, -3*f - 2*j + 17 = 0. Let m be 8/2 - (-3 + f). Let n(r) = m*r - 9 + 9. Give n(v(g)).", "a": "-26*g" }, { "q": "Let i(g) = g + 2. Let s(h) be the first derivative of -5*h - 3/2*h**2 - 13. Let w(u) = 5*i(u) + 2*s(u). Let p(r) = -10*r. Calculate w(p(c)).", "a": "10*c" }, { "q": "Let r(o) be the second derivative of o**4/6 - 3*o. Let h be ((-34)/6)/((-3)/18). Let y(k) = h - 66 + 4*k + 32. Give y(r(v)).", "a": "8*v**2" }, { "q": "Let o(a) = -2*a - 10. Let w(i) = -17*i - 37. Let n(c) = 4*o(c) - w(c). Let l(v) = 2*v. What is n(l(y))?", "a": "18*y - 3" }, { "q": "Let g(u) = 10*u + 15*u + 12*u + 2*u + 9*u. Let i(h) = 4*h**2 - 4*h**2 + h**2 - 4*h**2. What is i(g(y))?", "a": "-6912*y**2" }, { "q": "Let l(p) = 2*p. Let x(s) = -3955964*s**2. Calculate l(x(g)).", "a": "-7911928*g**2" }, { "q": "Suppose -2*b + 42 + 52 = 0. Let i = b + -17. Let c(p) = 12*p + 10*p - i*p + 14*p. Let s(o) = 2*o**2. Calculate s(c(j)).", "a": "72*j**2" }, { "q": "Let l(o) = 150*o - 1. Let h(w) = 5266*w + 2. What is l(h(c))?", "a": "789900*c + 299" }, { "q": "Let x(n) = 2*n - 24. Let t(a) = 3*a - 40. Let f(j) = -9*t(j) + 15*x(j). Let h(k) = -771*k. Give f(h(c)).", "a": "-2313*c" }, { "q": "Let a(w) = 1378*w**2. Let k(r) = -3*r + 659 + 5*r - 331 - 328. Determine a(k(n)).", "a": "5512*n**2" }, { "q": "Let n(p) = 3*p. Let t(u) be the first derivative of -294*u**2 + 20 + 28 + 307*u**2. Calculate t(n(r)).", "a": "78*r" }, { "q": "Let n(a) = 41*a + 5. Let l(t) be the second derivative of t**4/6 - t - 167. Calculate l(n(i)).", "a": "3362*i**2 + 820*i + 50" }, { "q": "Let z(s) be the third derivative of 7*s**5/60 + 22461*s**2 + 2. Let o = 14 - 23. Let g(u) = 16*u. Let x(i) = 4*i. Let v(p) = o*x(p) + 2*g(p). Calculate z(v(h)).", "a": "112*h**2" }, { "q": "Let j(m) = -665*m - 385. Let d(g) = 35*g + 20. Let w(p) = 77*d(p) + 4*j(p). Let l(x) = 4*x. What is l(w(o))?", "a": "140*o" }, { "q": "Let u be 2/(-6) + (-7)/(-3). Let b(n) = -271*n**2 + 547*n**u + 2 - 238*n**2. Let s(m) = -m**2. Give s(b(c)).", "a": "-1444*c**4 - 152*c**2 - 4" }, { "q": "Let d(o) be the first derivative of 49 + 2/3*o**3 + 0*o**2 + 0*o. Let l(r) = 64*r. Determine l(d(s)).", "a": "128*s**2" }, { "q": "Let t(h) = -8*h. Let n(z) = 2343491*z. Calculate n(t(w)).", "a": "-18747928*w" }, { "q": "Let y(m) be the second derivative of 0*m**2 + 1/3*m**4 + 50*m + 0 + 0*m**3. Let x(b) = -12*b**2. Give x(y(j)).", "a": "-192*j**4" }, { "q": "Let y(n) = -7*n**2. Let i(b) be the third derivative of 2*b**2 + 11/24*b**4 - 10 + 0*b**3 + 0*b. Give i(y(d)).", "a": "-77*d**2" }, { "q": "Let g(z) = -2*z**2 - 4*z - 48. Let y(p) = -p**2 - 3*p - 36. Let v(j) = 3*g(j) - 4*y(j). Let a(f) = 6*f**2 - 38. Determine v(a(b)).", "a": "-72*b**4 + 912*b**2 - 2888" }, { "q": "Let n(f) = -442*f - 3. Let a(p) = -397*p. What is a(n(h))?", "a": "175474*h + 1191" }, { "q": "Let r(w) = -4 + 13*w**2 + 8*w**2 + 18*w**2 + 9*w**2 - 20*w**2. Let b(x) = 9*x. Determine r(b(k)).", "a": "2268*k**2 - 4" }, { "q": "Let w(u) = 27*u + 4. Let b = -25 + -1. Let y(m) = -107*m - 17. Let i(n) = b*w(n) - 6*y(n). Let s(r) = r**2. Give i(s(h)).", "a": "-60*h**2 - 2" }, { "q": "Let k(r) be the third derivative of r**4/12 - 15*r**2 + 4*r. Let m(q) be the first derivative of -9*q**3 + 14. Determine m(k(h)).", "a": "-108*h**2" }, { "q": "Let f(w) = -3*w. Suppose 2*y + 0*y = 120. Let r(q) = -1. Let o(z) = -10*z + 60. Let s = -35 + 36. Let h(g) = s*o(g) + y*r(g). Give f(h(k)).", "a": "30*k" }, { "q": "Let s(p) = -8*p + 128. Let f be s(16). Let b(y) = -y + y - y - y + f. Let q(d) = 33*d. Calculate q(b(i)).", "a": "-66*i" }, { "q": "Let c(u) be the third derivative of -u**5/30 - 143*u**2 - 1. Let r(v) = 1096*v**2. Give r(c(w)).", "a": "4384*w**4" }, { "q": "Let v(k) = k. Let f(u) = 2070*u**2 - 36*u - 1. Determine v(f(g)).", "a": "2070*g**2 - 36*g - 1" }, { "q": "Let q(j) = -2201*j**2. Let h(c) = 1860*c**2 + 2*c. Give h(q(n)).", "a": "9010585860*n**4 - 4402*n**2" }, { "q": "Let g(u) = -121*u**2. Let f(y) = 4*y**2 - 3*y - 3. Let c = -38 - -42. Let r(z) = -5*z**2 + 4*z + 4. Let t(x) = c*f(x) + 3*r(x). Determine t(g(h)).", "a": "14641*h**4" }, { "q": "Suppose 4*l - 64 = 10*s - 14*s, 92 = 5*l - s. Let h(d) = 5*d + 9*d**2 - d - l*d**2. Let q(k) = -k**2. What is q(h(f))?", "a": "-81*f**4 + 72*f**3 - 16*f**2" }, { "q": "Let g(k) = 3*k. Let q(u) = 266*u - 5. Let c(v) = 125019*v - 2349. Let s(b) = -5*c(b) + 2349*q(b). Give s(g(f)).", "a": "-783*f" }, { "q": "Let v(c) = -18*c**2 + 30*c. Let j(s) = 20*s**2 - 35*s. Let u(z) = -6*j(z) - 7*v(z). Let k(y) = -y + 117. Give u(k(o)).", "a": "6*o**2 - 1404*o + 82134" }, { "q": "Let t(p) = -442*p**2 - 2*p. Let u(q) = -11*q**2 + q. Let v(k) = 24*k**2 - 2*k. Let w(s) = 2*u(s) + v(s). Determine t(w(b)).", "a": "-1768*b**4 - 4*b**2" }, { "q": "Let g(n) = 48*n. Let d(w) = -686643 - w + 686643 - 3*w. Calculate g(d(j)).", "a": "-192*j" }, { "q": "Let r(s) = -3*s**2. Let w(v) = 3*v + 3. Let u(o) = -473*o**2 - 231*o - 231. Let n(q) = 2*u(q) + 154*w(q). Give n(r(h)).", "a": "-8514*h**4" }, { "q": "Let r(f) = 10*f**2. Let z(a) be the third derivative of -5*a + 0 - 1/30*a**5 + 0*a**4 + 0*a**3 - a**2. Calculate z(r(w)).", "a": "-200*w**4" }, { "q": "Let o(j) = 6*j**2 + 5*j + 5. Let r(s) = 2*s**2 + 2*s + 2. Let n(y) = 2*o(y) - 5*r(y). Let v(z) be the third derivative of 11*z**4/4 - 24*z**2. What is v(n(p))?", "a": "132*p**2" }, { "q": "Let z(p) = -p**3 - 10*p**2 + 2. Let j be z(-10). Let x(t) = -t**j + 25253 - 25253. Let r(q) = -55*q. What is r(x(b))?", "a": "55*b**2" }, { "q": "Let t(z) = 10*z. Let a(r) = -72061*r**2. Determine t(a(n)).", "a": "-720610*n**2" }, { "q": "Let y(a) = 3*a**2. Let x(s) be the third derivative of 73*s**4/24 - 414*s**2. What is y(x(c))?", "a": "15987*c**2" }, { "q": "Let i(q) = 13 + 478*q**2 - 142*q**2 - 162*q**2 - 134*q**2. Let g(l) = -l**2. Calculate i(g(p)).", "a": "40*p**4 + 13" }, { "q": "Let v(c) be the first derivative of -13*c**3 - 29*c**3 + 41*c**3 - 4. Let j(g) = -3*g**2. Determine v(j(r)).", "a": "-27*r**4" }, { "q": "Let b(u) = -3139016*u - u**2 + 254 + 3139016*u. Let a(k) = -7*k. What is b(a(v))?", "a": "-49*v**2 + 254" }, { "q": "Let u(p) be the second derivative of p**4/6 - p**3/6 + 3*p. Let k(d) = -5*d**2 + 2*d. Let h(m) = 4*m**2 - 2*m. Let t(z) = -h(z) - k(z). What is t(u(b))?", "a": "4*b**4 - 4*b**3 + b**2" }, { "q": "Let y(q) = 3*q. Let m(z) = -z**2 - 6 - 3*z - 2*z - z**2 + 17*z. Let i(s) = 2*s**2 - 14*s + 7. Let o(g) = -6*i(g) - 7*m(g). Calculate y(o(n)).", "a": "6*n**2" }, { "q": "Let r(p) = -5*p. Let a(j) = -20*j + 14. Let q = 109 + -95. Let o(k) = 7*k - 5. Let u(i) = q*o(i) + 5*a(i). Give r(u(z)).", "a": "10*z" }, { "q": "Let f = 23 - 15. Let g(l) = -13*l**2 - 10*l**2 + f*l**2. Let y(h) = -h**2 - 423*h + 423*h. Give g(y(d)).", "a": "-15*d**4" }, { "q": "Let g(f) = -2*f. Let i(x) = -3271*x + 2069. Calculate i(g(y)).", "a": "6542*y + 2069" }, { "q": "Let v(d) = 6206*d**2 + 1. Let z(g) = -2*g + 884. Determine z(v(q)).", "a": "-12412*q**2 + 882" }, { "q": "Let m(s) be the second derivative of -s**3/3 + 143*s**2/2 - 1432*s. Let g(a) = 2*a. Calculate m(g(j)).", "a": "-4*j + 143" }, { "q": "Let m(z) = -42291*z. Let n(y) = 123*y**2. Calculate m(n(q)).", "a": "-5201793*q**2" }, { "q": "Let m(u) = 7*u. Let o(c) = 1879592*c. Calculate o(m(b)).", "a": "13157144*b" }, { "q": "Let x(s) = 65907*s + 9. Let j(k) = 5*k. What is x(j(i))?", "a": "329535*i + 9" }, { "q": "Let y(k) = 10*k. Let o(i) = 3*i**2 + 14*i + 2998. Give y(o(m)).", "a": "30*m**2 + 140*m + 29980" }, { "q": "Let g(w) = -3*w**2. Let d be 0 + -4 - 42/(-7). Let b(i) = -2*i + d*i - 2*i - i. Determine g(b(q)).", "a": "-27*q**2" }, { "q": "Let j(i) be the third derivative of -i**8/960 - i**5/60 + 19*i**3/2 - 9*i**2. Let c(l) be the third derivative of j(l). Let b(p) = -6*p. What is c(b(k))?", "a": "-756*k**2" }, { "q": "Let k(z) = -7*z. Let x(w) = 83 - 80*w + 40*w - 86. What is k(x(p))?", "a": "280*p + 21" }, { "q": "Let w(l) be the third derivative of -467*l**4/12 - 305*l**2. Let f(j) = 2*j**2. Give f(w(h)).", "a": "1744712*h**2" }, { "q": "Let g(x) = -10*x - 357. Let o(u) = -36*u. Give o(g(c)).", "a": "360*c + 12852" }, { "q": "Let u(r) = -2*r. Let c(l) = 367*l**2 + 6*l + 18. Let x(j) = -169916*j**2 - 2779*j - 8337. Let i(o) = 2779*c(o) + 6*x(o). What is i(u(f))?", "a": "1588*f**2" }, { "q": "Let k(j) = 4*j + 6695139. Let s(z) = -2*z**2. Calculate k(s(u)).", "a": "-8*u**2 + 6695139" }, { "q": "Let l(i) = 2 - 2 - 2660*i**2 + 2739*i**2. Let y(f) = -2*f. Determine l(y(v)).", "a": "316*v**2" }, { "q": "Let q(g) = -g**2 + 2*g + 117. Let o(u) = -109*u**2. Determine q(o(r)).", "a": "-11881*r**4 - 218*r**2 + 117" }, { "q": "Let q(l) = -l + 2161. Let s(n) = 2448*n - 1225*n - 1222*n. Determine s(q(c)).", "a": "-c + 2161" }, { "q": "Let d be 126/105*(-5)/(-3). Let l(x) = -2*x**2 - 5*x**2 + 0*x**2 + 18*x**d. Let q(p) = 2*p. What is l(q(v))?", "a": "44*v**2" }, { "q": "Let m(t) = -4102*t. Let l(z) = 3*z**2 + 2. Calculate m(l(b)).", "a": "-12306*b**2 - 8204" }, { "q": "Let x(s) = s**2. Let w(y) be the second derivative of -443*y**4/4 + 212*y. Give w(x(h)).", "a": "-1329*h**4" }, { "q": "Let s(w) = 11*w - 11*w + 12*w**2. Let v(h) be the first derivative of -1/3*h**3 + 36 + 0*h**2 + 0*h. Calculate s(v(k)).", "a": "12*k**4" }, { "q": "Let w = 33 + -47. Let k be (6/(-10))/(w/210). Let g(a) = k*a**2 + 3*a**2 - 3*a**2. Let l(t) = 2*t**2. What is l(g(v))?", "a": "162*v**4" }, { "q": "Let r(a) = 3*a**2. Let s(j) = -6164756*j**2. Calculate s(r(h)).", "a": "-55482804*h**4" }, { "q": "Let k(b) = -3*b - 60802. Let r(g) = 33*g. Calculate k(r(s)).", "a": "-99*s - 60802" }, { "q": "Let v(l) = 4*l. Let h(z) = -z**2 + 29*z + 33. Let x be h(30). Let k(c) = c. Let u(i) = -15*i. Let m(p) = x*u(p) + 36*k(p). Calculate v(m(n)).", "a": "-36*n" }, { "q": "Let w(n) = 15*n + 1. Let g(r) = 5286*r - 2 + 2 - 5293*r. Determine w(g(d)).", "a": "-105*d + 1" }, { "q": "Let b(d) = -d**2. Let j(h) = 6154 - 29*h - 3084 - 3090. Determine b(j(n)).", "a": "-841*n**2 - 1160*n - 400" }, { "q": "Let n(c) = -c**2 - 89*c. Let g(w) be the third derivative of w**5/10 + 73*w**2 + 4*w. What is n(g(i))?", "a": "-36*i**4 - 534*i**2" }, { "q": "Let r(v) = 57*v**2. Let p(l) be the second derivative of 0*l**2 - 66*l - 1/6*l**3 + 0. Determine r(p(g)).", "a": "57*g**2" }, { "q": "Let j(y) = 8*y + 24. Let v(a) be the first derivative of a**3/3 + 563. Calculate j(v(u)).", "a": "8*u**2 + 24" }, { "q": "Let y(d) = -d - 1092. Let x(b) = -14*b + 3. Let v(z) = 23*z - 5. Let i(a) = 6*v(a) + 10*x(a). What is i(y(m))?", "a": "2*m + 2184" }, { "q": "Let o(m) = -1068107*m. Let s(k) = -3*k. What is s(o(i))?", "a": "3204321*i" }, { "q": "Let g(b) = 2*b**2. Let l(q) = q**2 + q - 1. Let h(j) = 5*j**2 + 57*j - 4. Suppose 2*c = c - 2*u + 14, -2*u - 6 = -4*c. Let x(i) = c*l(i) - h(i). Give x(g(p)).", "a": "-4*p**4 - 106*p**2" }, { "q": "Let g(f) = 97*f. Let a(o) be the second derivative of -1/3*o**3 + 2*o + 0*o**2 - 1. What is g(a(m))?", "a": "-194*m" }, { "q": "Let a(o) = -o - 19. Let p be a(-24). Let f(x) = -3*x**2 + 5*x + 5. Let r(s) = 3*s**2 - 6*s - 6. Let c(z) = p*r(z) + 6*f(z). Let w(j) = 38*j. Calculate c(w(d)).", "a": "-4332*d**2" }, { "q": "Let z(v) be the second derivative of v**6/120 - 13*v**3/3 - 3*v + 8. Let u(f) be the second derivative of z(f). Let l(q) = 11*q**2 + 2. Give l(u(j)).", "a": "99*j**4 + 2" }, { "q": "Let n(f) = 2*f**2. Let c be 48/2*2/3. Let q(i) = -c*i + 2*i - 16*i - 12*i. Calculate q(n(o)).", "a": "-84*o**2" }, { "q": "Suppose 4*s - 5*r = 109, 4*s - 121 = -2*r + 3*r. Let i(t) = 26*t**2 - t + 28*t**2 + s*t**2 - 49*t**2. Let z(w) = w**2. What is i(z(o))?", "a": "36*o**4 - o**2" }, { "q": "Let n(l) = 5402*l**2. Let z(w) = -222*w**2 - 9*w. Give z(n(s)).", "a": "-6478316088*s**4 - 48618*s**2" }, { "q": "Let k(n) = 13*n. Let p(w) be the first derivative of -w**2/2 + w - 121. What is k(p(o))?", "a": "-13*o + 13" }, { "q": "Let s(q) = -1235*q**2 + 2*q + 2. Let w(k) = -108678*k**2 + 177*k + 177. Let u(f) = -177*s(f) + 2*w(f). Let x(h) = 2*h. Calculate x(u(o)).", "a": "2478*o**2" }, { "q": "Let p(q) = -1347429*q. Let d(t) = -3*t**2. What is d(p(s))?", "a": "-5446694730123*s**2" }, { "q": "Let k(b) = 251*b**2. Let t(r) = -50*r**2 + 129*r. Give t(k(y)).", "a": "-3150050*y**4 + 32379*y**2" }, { "q": "Let n(y) = -4089*y + 55. Let h(b) = 75647*b - 1012. Let o(i) = 5*h(i) + 92*n(i). Let w(r) = -r**2. Give w(o(s)).", "a": "-4190209*s**2" }, { "q": "Let x(j) = -4025654*j. Let i(c) = -4*c**2. Determine i(x(s)).", "a": "-64823560510864*s**2" }, { "q": "Let a(p) = -7*p - 94. Let f(c) = -13*c**2 + 8072*c + 8*c**2 - 8072*c + 6*c**2. What is f(a(z))?", "a": "49*z**2 + 1316*z + 8836" }, { "q": "Let r be (-4)/(-14) + 2412/84. Let o(s) = 5010*s**2 + 29 - 5009*s**2 + r. Let n(c) = c**2. Give o(n(a)).", "a": "a**4 + 58" }, { "q": "Let v(r) = r. Let y(f) be the second derivative of 9*f + 0*f**2 + 1/6*f**4 + 0*f**3 - 1. What is y(v(j))?", "a": "2*j**2" }, { "q": "Suppose -102 = -8*u + 2*u. Let a(t) = -11*t - 1 - 3*t + u*t + 18*t. Let f(d) = 3*d. Determine f(a(v)).", "a": "63*v - 3" }, { "q": "Let c(n) = 9*n**2 - 42. Let r(l) = 4*l**2 - 18. Let m(t) = -6*c(t) + 14*r(t). Let j(z) be the second derivative of -13*z**4/6 - z. Calculate m(j(p)).", "a": "1352*p**4" }, { "q": "Let y(k) = -3*k**2. Let v(i) be the third derivative of 101*i**5/20 + 363*i**2. Give y(v(d)).", "a": "-275427*d**4" }, { "q": "Let j(i) = -3*i**2. Let w(a) be the first derivative of -a**6/360 - 2*a**3/3 - 23*a + 31. Let n(x) be the third derivative of w(x). Determine n(j(m)).", "a": "-9*m**4" }, { "q": "Let w(i) = 7*i. Let p(a) be the third derivative of -a**7/1680 + a**5/5 + 62*a**2 + 1. Let y(l) be the third derivative of p(l). Calculate w(y(z)).", "a": "-21*z" }, { "q": "Let f(k) = 2*k**2. Suppose -19*q = -13*q - 192. Let g(r) = 28*r**2 + 53*r**2 - q*r**2. What is g(f(y))?", "a": "196*y**4" }, { "q": "Let x(n) = 161*n**2. Let o(p) = -369*p - 3. Calculate o(x(s)).", "a": "-59409*s**2 - 3" }, { "q": "Let s(c) = -46*c**2 - 7930. Let r(t) = -2*t**2. Give s(r(y)).", "a": "-184*y**4 - 7930" }, { "q": "Let s(n) = 3*n - 36. Let a(y) = 4 + 64*y - 140*y - 4 + 75*y. Determine a(s(t)).", "a": "-3*t + 36" }, { "q": "Let w(r) = -20*r**2. Let u(x) = 646*x**2 - 1341*x**2 + 671*x**2. What is w(u(i))?", "a": "-11520*i**4" }, { "q": "Let a(j) = -180*j**2. Let h(q) = 68*q + 6514*q**2 - 68*q - 6524*q**2. Calculate h(a(m)).", "a": "-324000*m**4" }, { "q": "Let n(t) = 3*t**2. Let c(u) = -9*u**2 + 6*u. Let o(j) = 17*j**2 - 11*j. Let b be 9 + 1 + 4 + -3. Let l(z) = b*c(z) + 6*o(z). What is n(l(v))?", "a": "27*v**4" }, { "q": "Let t(o) = 1615175*o. Let w(r) = -5*r. Give t(w(v)).", "a": "-8075875*v" }, { "q": "Let s(o) = -3*o**2. Let r(l) = 1770*l + 59. Let z(i) = 65*i. Let a(b) = -67*b + 1. Let v(c) = 2*a(c) + 3*z(c). Let m(h) = 2*r(h) - 59*v(h). Calculate m(s(d)).", "a": "177*d**2" }, { "q": "Let o(z) = 48*z - 30404. Let v(l) = l. Determine o(v(y)).", "a": "48*y - 30404" }, { "q": "Let g(c) = -86*c**2 + 1157530 - 1157530 - c. Let j(l) = 4*l**2. What is g(j(t))?", "a": "-1376*t**4 - 4*t**2" }, { "q": "Let u(z) = 8*z. Let q(p) = p - 1. Let w(j) = 111*j - 105. Let f(b) = -16*b + 15. Let h(g) = -15*f(g) - 2*w(g). Let l(m) = -3*h(m) + 45*q(m). What is l(u(s))?", "a": "-72*s" }, { "q": "Let w(o) = -2*o**2 + 7*o - 28. Let u(y) = -y**2 + 3*y - 12. Let c(j) = -14*u(j) + 6*w(j). Let f(x) = 11*x - 2. What is f(c(g))?", "a": "22*g**2 - 2" }, { "q": "Let x(q) = -89*q**2. Let k(m) = -17266*m. What is x(k(c))?", "a": "-26532213284*c**2" }, { "q": "Let b(t) = -2*t**2. Let s(u) = -184*u + 3. Let m(y) = -184*y + 4. Let r = -145 - -149. Let p(i) = r*s(i) - 3*m(i). Give b(p(k)).", "a": "-67712*k**2" }, { "q": "Let h(c) = -42*c - 33*c - 46*c + 200*c - 41*c. Let f = -17 - -3. Let n(k) = -2*k. Let y(p) = -p. Let d(x) = f*y(x) + 6*n(x). What is h(d(w))?", "a": "76*w" }, { "q": "Let h(s) = 3*s**2. Let a(b) = -63*b + 11. Let z = -111 + 113. Let t(d) = 13*d - 2. Let i(p) = z*a(p) + 11*t(p). What is h(i(r))?", "a": "867*r**2" }, { "q": "Let g(q) = -2*q - 8. Let i(z) = 2*z + 4. Let k(m) = -g(m) - 2*i(m). Let v(a) = -a + 79. Calculate v(k(b)).", "a": "2*b + 79" }, { "q": "Let i(s) be the first derivative of 0*s - 2/3*s**3 + 49 + 0*s**2. Let q(l) = 3*l - 7. Give q(i(d)).", "a": "-6*d**2 - 7" }, { "q": "Let q(r) = 4*r**2 - 9. Let u(x) = 18*x + 220. Let f(p) = 9*p + 120. Let v(g) = -11*f(g) + 6*u(g). Give v(q(l)).", "a": "36*l**2 - 81" }, { "q": "Let w(h) = -h - 3. Let r(l) = 9*l**2. Let c(n) = -4*n**2. Suppose 10*y = 8*y - 3*t + 3, 3*t - 6 = -3*y. Let g(k) = y*r(k) + 7*c(k). What is g(w(f))?", "a": "-f**2 - 6*f - 9" }, { "q": "Let w(j) be the first derivative of j**2/2 - 159. Let q(x) = -3*x**2 + 9*x - 9*x. Determine w(q(l)).", "a": "-3*l**2" }, { "q": "Let y(b) = 2471*b**2. Let h(z) = 123*z. Give h(y(r)).", "a": "303933*r**2" }, { "q": "Let s = 44 - 2. Suppose 8*t = 11*t - s. Let p(h) = t*h - 7*h - 9*h. Let j(u) = -u. Calculate p(j(l)).", "a": "2*l" }, { "q": "Let z(c) = -42026 + 6*c**2 + 42025 - 2*c**2. Let k(v) = -23*v**2. Give k(z(r)).", "a": "-368*r**4 + 184*r**2 - 23" }, { "q": "Let s(n) = -n**2. Let g(v) be the second derivative of 283*v**4/12 - 575*v. Calculate g(s(h)).", "a": "283*h**4" }, { "q": "Let y(m) = -2*m. Let p(n) = 75*n**2 - 2369*n. What is y(p(i))?", "a": "-150*i**2 + 4738*i" }, { "q": "Let x(n) = -1. Let a(z) = 48*z**2 - 64. Let q(j) = -a(j) + 64*x(j). Let h(w) = 220 - 14*w + 206 - 426 + 12*w. Determine h(q(d)).", "a": "96*d**2" }, { "q": "Let n(l) = -2*l**2. Let x(s) be the first derivative of 1451*s**2/2 + 758. What is x(n(f))?", "a": "-2902*f**2" }, { "q": "Let i(o) = -32*o. Let v(s) = -341514*s. Determine i(v(p)).", "a": "10928448*p" }, { "q": "Let z(r) = -11*r**2 + r - 1. Let h(n) = -12*n**2 + n - 1. Let u(w) = h(w) - z(w). Let j(l) = 1585*l. Calculate u(j(f)).", "a": "-2512225*f**2" }, { "q": "Let w(r) = 10*r - 4*r - 3*r - 6*r. Let v(l) = 17*l**2. Let h(a) = -357*a**2. Let s(u) = 4*h(u) + 85*v(u). Calculate s(w(c)).", "a": "153*c**2" }, { "q": "Let c = 2898 - 2894. Let m(s) be the third derivative of -1/12*s**c + 0 + 0*s**3 + 8*s**2 + 0*s. Let j(t) = 17*t**2. What is j(m(z))?", "a": "68*z**2" }, { "q": "Let i(x) = x + 2. Let f(d) be the third derivative of -d**7/1260 + 2*d**4/3 - d**2 - 37*d. Let s(t) be the second derivative of f(t). What is s(i(g))?", "a": "-2*g**2 - 8*g - 8" }, { "q": "Let n(s) = -5*s. Let d(u) = 4*u. Let m(h) = -6*d(h) - 5*n(h). Let g(l) = -22*l**2 + 12. Let r(z) = -29*z**2 + 10. Let f(a) = -5*g(a) + 6*r(a). Give f(m(y)).", "a": "-64*y**2" }, { "q": "Let f(z) = 2*z. Let g(p) = -10*p - 33. Let a be g(-6). Let l(s) = -3*s**3 + 2*s + 1. Let d be l(-1). Let n(v) = 21*v**d - 1 - a*v**2 + 1. What is f(n(b))?", "a": "-12*b**2" }, { "q": "Let j(v) = -155*v**2. Let b(a) = 2*a**2 - 2. Let q(r) = 2*r**2 + 0*r**2 - 5 + 3 + 1. Let h(c) = -b(c) + 2*q(c). Determine h(j(i)).", "a": "48050*i**4" }, { "q": "Let h(n) = -3*n**2 + n - 2199. Let u(l) = 318*l. What is h(u(f))?", "a": "-303372*f**2 + 318*f - 2199" }, { "q": "Let f = 35/16 + -27/16. Let w(s) be the second derivative of 9*s - f*s**3 + 0 + 0*s**2. Let g(x) = 5*x. What is g(w(v))?", "a": "-15*v" }, { "q": "Let z(l) = 16*l**2 + l. Let a(u) = -186*u**2 + 6*u - 2. Let j(y) = a(y) - 6*z(y). Let g(o) = -9*o**2. Give g(j(c)).", "a": "-715716*c**4 - 10152*c**2 - 36" }, { "q": "Let d be 10/3 - 82/(-123). Let f(j) = 14*j + d*j + 2*j**2 - 18*j. Let g(o) = -o**2 + 6*o**2 + 0*o**2. Calculate g(f(s)).", "a": "20*s**4" }, { "q": "Let l(m) be the first derivative of -920*m**2 + 599. Let b(z) = -z**2. What is b(l(g))?", "a": "-3385600*g**2" }, { "q": "Let g(d) = 88*d**2 - 22*d**2 + 10*d + 62*d**2 - 10*d. Let r(h) = 5*h. Give r(g(m)).", "a": "640*m**2" }, { "q": "Let s(q) be the second derivative of -q**3/6 - 5*q**2 - 13*q. Let f be s(-17). Let p(c) = f*c + 11*c - 19*c. Let n(r) = -2*r. Give p(n(x)).", "a": "2*x" }, { "q": "Let m(g) = 105*g + 1. Let k(z) be the third derivative of -z**4/12 - 1399*z**2. Calculate m(k(f)).", "a": "-210*f + 1" }, { "q": "Let j(b) = -14*b - 1. Let z(f) = 55*f + 5. Let l(u) = -5*j(u) - z(u). Let y(q) be the first derivative of -q**2/2 - 1. What is l(y(h))?", "a": "-15*h" }, { "q": "Let u(p) = 73*p**2. Let h(l) be the third derivative of -9*l**5/20 - 8*l**2. What is u(h(y))?", "a": "53217*y**4" }, { "q": "Let w(d) = d. Let y(j) = 1107*j**2 - 796*j + 1593*j - 797*j. Calculate y(w(m)).", "a": "1107*m**2" }, { "q": "Let g(l) = -l**2. Let c(d) = -13*d - 49*d + 11*d - 2386749 + 2386749. Give c(g(n)).", "a": "51*n**2" }, { "q": "Let c(y) = -2*y**2. Let s be ((-174)/(-6))/((3/12)/1). Let x(k) = s*k**2 - 57*k**2 - 31*k**2. Calculate x(c(t)).", "a": "112*t**4" }, { "q": "Let t(m) = -2*m. Suppose 13 + 3 = -2*h - 4*c, -3*h + 4*c = 14. Let u(f) = 539*f**2. Let a(l) = 27*l**2. Let r(k) = h*u(k) + 119*a(k). What is t(r(z))?", "a": "42*z**2" }, { "q": "Let c(n) = -n. Let l(k) = 56*k - 152*k + 280*k**2 + 88*k. Calculate c(l(f)).", "a": "-280*f**2 + 8*f" }, { "q": "Let x(h) be the second derivative of -h**3/2 - 2*h + 113. Let t(a) = -622*a**2. What is x(t(u))?", "a": "1866*u**2" }, { "q": "Let l(v) = 995*v**2 - 2*v. Let u(c) = -5955 + c + 5955. What is u(l(h))?", "a": "995*h**2 - 2*h" }, { "q": "Let w(f) = 349*f. Let r(x) be the second derivative of 2*x**3/3 - 5*x + 37. What is r(w(o))?", "a": "1396*o" }, { "q": "Let a(z) = -26*z. Let q(u) be the third derivative of -u**4/8 - 2*u**2 - 38. What is q(a(h))?", "a": "78*h" }, { "q": "Let z(k) = -2*k. Let i(q) = 10*q**2 + 51. Let w(s) = -32*s**2 - 155. Let a(m) = 7*i(m) + 2*w(m). Give z(a(u)).", "a": "-12*u**2 - 94" }, { "q": "Let d(c) be the second derivative of 0*c**2 - 1/4*c**4 - 5*c + 8 + 0*c**3. Let w(p) = 9*p. Calculate d(w(g)).", "a": "-243*g**2" }, { "q": "Let o(q) be the third derivative of -2*q**4/3 - q**2 + 48*q + 33. Let p(d) = -d**3 - 2*d**2 + d - 4. Let t be p(-3). Let a(u) = 2 + 3*u - t. Determine o(a(f)).", "a": "-48*f" }, { "q": "Let t(b) = 7605*b**2 - 41*b - 1. Let h(r) = -4*r. Calculate t(h(g)).", "a": "121680*g**2 + 164*g - 1" }, { "q": "Let d(b) be the third derivative of -b**5/5 - 11*b**2 - 51*b. Let q(a) = 40*a**2. What is q(d(o))?", "a": "5760*o**4" }, { "q": "Let h(a) = -5*a**2. Let j(i) = 41*i + 48*i - 4 + 46*i + 46*i - 185*i. Give h(j(y)).", "a": "-80*y**2 - 160*y - 80" }, { "q": "Let f(q) = q. Let d(r) = 2*r**2 - 7*r + 7. Suppose -2*k - 1 = -7. Let t(w) = w**2 - 2*w + 6 + 3*w - 4*w - k*w. Let h(x) = 6*d(x) - 7*t(x). Give f(h(p)).", "a": "5*p**2" }, { "q": "Let p(r) = r. Let g(w) = -924*w - 140. Let t(o) = 40*o + 6. Let q(v) = 6*g(v) + 140*t(v). Calculate p(q(b)).", "a": "56*b" }, { "q": "Let h(g) = 4*g - 261. Let x(p) = 7565*p**2. Give h(x(n)).", "a": "30260*n**2 - 261" }, { "q": "Let b(x) = x. Suppose 0 = 5*u + 6*u. Let l(z) = -10*z**2 - 15*z**2 - 20*z**2 + u*z**2. Calculate l(b(n)).", "a": "-45*n**2" }, { "q": "Let c(v) = -v**3 + 7*v**2 + 5*v - 10. Let n be c(7). Suppose -5*t = -0*t - n. Let q(l) = t + l**2 - 13 + 8. Let b(w) = w. Calculate q(b(r)).", "a": "r**2" }, { "q": "Let y(l) = -3*l. Let j(k) be the first derivative of k**4/12 + 19*k**3/2 + 63*k + 26. Let n(s) be the first derivative of j(s). Determine n(y(o)).", "a": "9*o**2 - 171*o" }, { "q": "Let w(b) = -b**2 - 8*b + 11. Let y be w(-9). Let a(v) = v - v - v**y. Let u(k) be the second derivative of -31*k**4/12 + 4*k. Calculate a(u(p)).", "a": "-961*p**4" }, { "q": "Let f(a) = -10*a. Let m(c) be the first derivative of 29*c**3/3 + 1432. Give f(m(x)).", "a": "-290*x**2" }, { "q": "Let d(n) = -4*n**2 - 26*n - 13. Let b(o) = -o**2 - 6*o - 3. Let z(i) = 26*b(i) - 6*d(i). Let g(h) = -64*h - 2. Give z(g(x)).", "a": "-8192*x**2 - 512*x - 8" }, { "q": "Let q(r) = -3*r**2 + 13998*r. Let d(k) = -63*k**2. Determine q(d(g)).", "a": "-11907*g**4 - 881874*g**2" }, { "q": "Let m = -2 + 7. Let p(y) = -y - m*y - y - 11*y. Let c(b) be the second derivative of b**3/3 + 319*b - 1. What is c(p(a))?", "a": "-36*a" }, { "q": "Let l(z) = -z**2 - z + 1. Let k(s) = 93*s**2 + 9*s - 9. Let c(y) = k(y) + 9*l(y). Let n(t) = 8*t. Give n(c(i)).", "a": "672*i**2" }, { "q": "Let c(q) = 14*q**2. Let s(t) be the second derivative of -13*t**4/12 + 2*t + 328. What is c(s(f))?", "a": "2366*f**4" }, { "q": "Let s(b) be the third derivative of -7*b**5/30 - 83*b**2. Let p(y) = -2 + 6 + y - 4. What is s(p(h))?", "a": "-14*h**2" }, { "q": "Let h(t) = t**2. Let j(y) = -2847358*y. What is h(j(o))?", "a": "8107447580164*o**2" }, { "q": "Let y(v) = 9*v**2. Let p(r) = -575274*r**2. Give p(y(j)).", "a": "-46597194*j**4" }, { "q": "Let m(p) = -10*p. Let s(v) = -2236253*v**2. What is m(s(t))?", "a": "22362530*t**2" }, { "q": "Let b(h) = -4*h. Let f(v) = -41*v + 28 + 25 - 6*v + 24 - 76. Calculate f(b(s)).", "a": "188*s + 1" }, { "q": "Let t(f) = 2*f**2. Let q(b) = 61*b**2 + 20*b**2 - 66*b**2 - b. Calculate q(t(p)).", "a": "60*p**4 - 2*p**2" }, { "q": "Let y(r) = -r**2. Let l(v) be the first derivative of -352*v**3/3 - 998. Calculate y(l(k)).", "a": "-123904*k**4" }, { "q": "Let p(x) = 19808919*x. Let o(z) = z**2. Give o(p(f)).", "a": "392393271948561*f**2" }, { "q": "Let s(j) = -350*j + 1035 - 1035 + 345*j. Let z(w) = 301*w**2. Determine s(z(g)).", "a": "-1505*g**2" }, { "q": "Suppose 2*h - 2*b - 72 = 0, 5*h - 4*b - 180 = -5*b. Let r(z) = -h - 4*z**2 + 71 - 35. Let v(c) = -5*c. Calculate v(r(q)).", "a": "20*q**2" }, { "q": "Let f(q) be the third derivative of q**5/15 + 1609*q**2. Let h(m) = 759*m. Determine h(f(j)).", "a": "3036*j**2" }, { "q": "Let m(c) = -6*c - 12*c - 3*c + 0*c. Let n(f) be the third derivative of 0*f**3 + 1/24*f**4 + 30*f**2 + 0*f + 0. What is m(n(g))?", "a": "-21*g" }, { "q": "Let j(u) = 9*u. Let k(a) = 0 + 52672*a**2 + 0 - 52791*a**2. Calculate j(k(w)).", "a": "-1071*w**2" }, { "q": "Let n be 2/8 + 6830/40. Let u = 258 - n. Let j(z) = u*z + 1 - 77*z - 1. Let m(q) = 2*q. Give m(j(w)).", "a": "20*w" }, { "q": "Let t(d) = -9*d**2 + 2407 - 2407. Suppose -2*b = 2*n + 2, 2*n = b - 0*n - 8. Let g(q) = 2*q. Let j(p) = -p**2 - 3*p. Let s(k) = b*j(k) + 3*g(k). Give t(s(i)).", "a": "-36*i**4" }, { "q": "Let d(p) = p**2. Let y(j) = 7*j + 161. Let v(a) = 22*a + 483. Let x(u) = -2*v(u) + 7*y(u). Determine x(d(c)).", "a": "5*c**2 + 161" }, { "q": "Let l(w) = 8*w**2 - 3*w - 1. Let i be l(3). Let x(s) = 20*s - 58. Let n be x(6). Let o(d) = 7*d - n + i. Let y(b) = b**2. Determine y(o(m)).", "a": "49*m**2" }, { "q": "Let u(q) be the second derivative of 3*q**3/2 + 930*q. Let v(c) = 7*c**2 - 2 + 2. Calculate v(u(t)).", "a": "567*t**2" }, { "q": "Let r(q) = 2*q + 25. Let l be r(-11). Let b(n) = -7*n - 2*n**2 + 4*n + l*n. Let u(i) be the first derivative of -5*i**2/2 - 3. What is u(b(v))?", "a": "10*v**2" }, { "q": "Let z(l) = -l**2. Let d(h) = 7*h + 148919. What is d(z(c))?", "a": "-7*c**2 + 148919" }, { "q": "Let g(f) = -30*f. Suppose 0 = -5*z + 4*v + 635, -4*z - v = -2*z - 267. Let d(k) = -266*k + 137*k + z*k. Give g(d(m)).", "a": "-60*m" }, { "q": "Let g(o) = 34*o**2 + 2*o - 3. Let r(d) = 489*d + 3. Give r(g(b)).", "a": "16626*b**2 + 978*b - 1464" }, { "q": "Let c(u) = -1424919*u. Let m(h) = 7*h**2. Give c(m(a)).", "a": "-9974433*a**2" }, { "q": "Let u(c) = -17966938*c. Let a(z) = -z. Determine a(u(v)).", "a": "17966938*v" }, { "q": "Let w(f) = -2*f + 27. Let c be w(14). Let v(k) = 0*k + 3*k - k - k. Let o(g) = 2*g**2 - 2*g. Let y(i) = c*o(i) - 2*v(i). Let m(j) = 5*j. What is m(y(d))?", "a": "-10*d**2" }, { "q": "Let o(x) = -3*x + 4. Let s(z) = -34*z + 44. Let y(m) = -22*o(m) + 2*s(m). Let q(l) = 56*l. Determine q(y(j)).", "a": "-112*j" }, { "q": "Let i(t) = 0*t + t - 13*t + 22*t. Let g(h) = 9*h - 1. What is i(g(y))?", "a": "90*y - 10" }, { "q": "Let b(a) = -6*a**2 + 11*a**2 + 4*a**2 + 4. Let n(l) = 6*l**2 + 4*l - 4. Let q(g) = 5*g**2 + 3*g - 3. Let i(r) = 3*n(r) - 4*q(r). What is i(b(t))?", "a": "-162*t**4 - 144*t**2 - 32" }, { "q": "Let p(c) = 16*c**2. Let v(f) be the third derivative of f**4/24 - 875*f**2. Give v(p(i)).", "a": "16*i**2" }, { "q": "Let s = -50 - -46. Let u = s + 104. Let j(r) = u*r - 100*r - 10*r**2. Let d(g) = g. Calculate d(j(l)).", "a": "-10*l**2" }, { "q": "Let u(j) = 45847*j**2. Let v(m) = -53*m**2. Give v(u(f)).", "a": "-111403212677*f**4" }, { "q": "Let j(k) = -171*k. Let g(f) = f**2 - 2289*f + 7. Calculate g(j(i)).", "a": "29241*i**2 + 391419*i + 7" }, { "q": "Let g(d) = -2692197*d**2. Let l(p) = -5*p**2. Calculate l(g(z)).", "a": "-36239623434045*z**4" }, { "q": "Suppose v - 4*g = 6*v - 564, 0 = 3*g + 12. Let i(u) = -v + 116 - u**2. Let k(c) = 10*c**2 - 48*c + 48*c. Calculate i(k(t)).", "a": "-100*t**4" }, { "q": "Let u(k) = 1417*k**2. Let l(j) = -7 + 7 - 2*j**2 - 154*j + 154*j. What is l(u(d))?", "a": "-4015778*d**4" }, { "q": "Let u(l) = -26*l**2 - 28*l**2 - 30 + 52*l**2 + 9 - 46. Let v(h) = -2*h. Give v(u(a)).", "a": "4*a**2 + 134" }, { "q": "Let o(g) = 3423922*g**2. Let r(x) = 5*x. Calculate o(r(d)).", "a": "85598050*d**2" }, { "q": "Let c(u) = 21*u**2. Suppose 12*k - 14 = 5*k. Let x(t) = 3*t**2 + 1 + 0*t**2 - 1 + k. Let p(y) = -4*y**2 - 3. Let q(v) = -2*p(v) - 3*x(v). Give c(q(b)).", "a": "21*b**4" }, { "q": "Let w(x) = 4*x**2. Let u(z) = -197926*z**2. Calculate u(w(y)).", "a": "-3166816*y**4" }, { "q": "Let m(t) = -t. Let w(a) = -4*a**2 + a**2 - 234176*a + 233991*a. Calculate m(w(y)).", "a": "3*y**2 + 185*y" }, { "q": "Let p(a) = 972802*a. Let i(x) = 8*x**2. Calculate i(p(c)).", "a": "7570749849632*c**2" }, { "q": "Let d(x) = 7 - 7 - 6*x**2. Let q(o) be the third derivative of -o**5/60 + o**3/2 - 11*o**2. Let z(f) be the first derivative of q(f). Determine z(d(j)).", "a": "12*j**2" }, { "q": "Let w(m) = -62*m. Let x(j) = 34*j. Let k(s) = -6*w(s) - 11*x(s). Let z(b) = -11*b. Determine k(z(n)).", "a": "22*n" }, { "q": "Let d(k) = 2*k. Let y be 12/6 + 0 + 0. Let v(z) = -z + 19. Let t be v(17). Let p(j) = y*j - 8*j + t*j. What is p(d(m))?", "a": "-8*m" }, { "q": "Let v(x) be the third derivative of x**4 - 1231*x**2. Let t(w) = 4*w**2 - 1. Give t(v(r)).", "a": "2304*r**2 - 1" }, { "q": "Let j(y) = 14196*y**2. Let i(w) = 55*w. Give j(i(h)).", "a": "42942900*h**2" }, { "q": "Let z(d) = -5*d. Let p(v) = -5*v - 6. Let l(q) = -30*q - 35. Let g = 7 + 5. Suppose b = -b - g. Let i(u) = b*l(u) + 35*p(u). Calculate i(z(h)).", "a": "-25*h" }, { "q": "Let n(z) = 197*z**2. Let f(p) = -78510*p**2. Give f(n(q)).", "a": "-3046894590*q**4" }, { "q": "Let h(j) be the second derivative of j**3/6 + 14*j + 3. Let d(n) = 20*n. Let y(g) = 13*g. Let p(z) = 5*d(z) - 8*y(z). Give p(h(l)).", "a": "-4*l" }, { "q": "Let s(m) = 3*m**2 - 2*m + 4. Let b(a) = 4*a**2 - 3*a + 6. Let k(o) = -2*b(o) + 3*s(o). Let y(h) = -583*h. What is y(k(n))?", "a": "-583*n**2" }, { "q": "Let s(u) = 3068*u**2 - 413*u - 826. Let i(d) = 6*d**2 - d - 2. Let c(r) = -826*i(r) + 2*s(r). Let q(l) = l**2. What is q(c(o))?", "a": "1392400*o**4" }, { "q": "Let f(j) = -22*j. Let w be ((-2)/(-65))/((-36)/(-39)). Let n(i) be the third derivative of 0 - w*i**5 + 0*i**3 + 0*i + 0*i**4 + 9*i**2. Give n(f(x)).", "a": "-968*x**2" }, { "q": "Let c(x) = 245*x. Let o(d) be the second derivative of -d**4/12 - 1540*d. What is o(c(a))?", "a": "-60025*a**2" }, { "q": "Let q(r) = -13*r**2 + 4*r + 2. Let b(x) = 16*x**2 + 39 + 104*x - 263*x**2 - 26*x. Let m(o) = 2*b(o) - 39*q(o). Let i(p) = -10*p**2. Give i(m(t)).", "a": "-1690*t**4" }, { "q": "Let k(p) = 5*p. Let t(w) be the third derivative of -23*w**4/24 + 252*w**2. Determine k(t(z)).", "a": "-115*z" }, { "q": "Let w(m) = 4*m - 1389. Let f(z) = -224*z**2. Determine w(f(h)).", "a": "-896*h**2 - 1389" }, { "q": "Let s(i) = i**2. Let f be (-72)/(-16) + 4/(5 - -3). Let t(j) = 6*j + 1. Let h(n) = -14*n - 1. Let a(p) = f*t(p) + 2*h(p). What is s(a(w))?", "a": "4*w**2 + 12*w + 9" }, { "q": "Let y(z) = 2*z**2. Let w(u) be the first derivative of 134/3*u**3 - 76 + 0*u**2 + 0*u. Determine w(y(v)).", "a": "536*v**4" }, { "q": "Let y(i) = 2*i. Let v(x) = -40913618*x**2. Give y(v(b)).", "a": "-81827236*b**2" }, { "q": "Let n(q) = 66*q + 6. Let d(m) = -53*m - 5. Let b(a) = -5*d(a) - 4*n(a). Let i(g) = -4*g**2. Calculate b(i(k)).", "a": "-4*k**2 + 1" }, { "q": "Let f(r) = -14285*r**2. Let b(h) = -70*h**2. Determine f(b(v)).", "a": "-69996500*v**4" }, { "q": "Suppose 9 = d + 2*p, p = -0*d - 2*d + 21. Let z(m) be the second derivative of 0 + 1/6*m**3 - d*m + 0*m**2. Let c(i) = 4*i. What is c(z(g))?", "a": "4*g" }, { "q": "Let x(t) = 27*t**2. Let v = 29 - 27. Let p(j) = 415 + v*j - 415. What is p(x(n))?", "a": "54*n**2" }, { "q": "Let g(j) = 58*j. Let s(f) = -417*f + 11. Calculate g(s(b)).", "a": "-24186*b + 638" }, { "q": "Let o(y) = 12*y - 26 - 27 + 112 - 28 - 30. Let w(g) = 8*g**2. Determine o(w(z)).", "a": "96*z**2 + 1" }, { "q": "Let u(a) = 4838645*a**2. Let z(o) = -o. What is z(u(j))?", "a": "-4838645*j**2" }, { "q": "Let t(z) = -34*z. Let r(i) be the second derivative of -4*i**3 - 344*i. Calculate t(r(o)).", "a": "816*o" }, { "q": "Let k(a) be the third derivative of 1/30*a**5 + 2 + 0*a**4 + 0*a**3 + 0*a + 7*a**2. Let j(c) = 2*c - 5*c - 4*c. Determine k(j(p)).", "a": "98*p**2" }, { "q": "Let a(n) = 3*n + 0*n + n - n**2 - 4*n. Let s(t) = -2*t**2 - 1038. Give s(a(y)).", "a": "-2*y**4 - 1038" }, { "q": "Let n be 80/(-12)*6 - 0. Let p = n - -42. Let u(o) = -2*o - 30*o**p + 31*o**2 + 2*o. Let h(l) = l. Give h(u(d)).", "a": "d**2" }, { "q": "Let f(k) = -6*k - 9053. Let c(a) = -21*a. Calculate c(f(y)).", "a": "126*y + 190113" }, { "q": "Let n(v) = 25*v**2 - 24*v. Let j(f) = 10327*f. Determine j(n(l)).", "a": "258175*l**2 - 247848*l" }, { "q": "Let w(j) be the third derivative of -31*j**6/720 - j**4/24 + j**3/6 - 2*j**2. Let b(q) be the second derivative of w(q). Let a(d) = -d. Determine a(b(h)).", "a": "31*h" }, { "q": "Let g(r) be the third derivative of 0*r**3 - 3*r + 0 + r**2 + 3/4*r**4. Let f(s) be the second derivative of -s**4/6 - s. Determine f(g(b)).", "a": "-648*b**2" }, { "q": "Let w(a) be the third derivative of 883*a**4/24 - a**3/3 - 1450*a**2. Let f(s) = s**2. Calculate f(w(i)).", "a": "779689*i**2 - 3532*i + 4" }, { "q": "Suppose 0 = -8*o + 14 + 2. Let f(q) = -q + 1. Let s(z) = -2. Let h(d) = o*f(d) + s(d). Let r(l) = 8*l**2. Determine h(r(a)).", "a": "-16*a**2" }, { "q": "Let c(v) = 2*v. Let k(f) = -46 - 37 + 163 + 73*f**2 - 41 - 36. What is k(c(l))?", "a": "292*l**2 + 3" }, { "q": "Let y(m) = -5761718*m. Let f(v) = 2*v. What is y(f(u))?", "a": "-11523436*u" }, { "q": "Let b(s) = -s**2 - 23*s - 22. Let i be b(-11). Let m(x) = -i*x + 214*x - 107*x. Let r(h) = 9*h. Calculate r(m(u)).", "a": "-27*u" }, { "q": "Let t(j) = j**2. Let k(b) = -20*b. Let u(w) = -5*w - 16. Let g(y) = 2*y + 6. Let c(m) = 8*g(m) + 3*u(m). Let l(q) = c(q) + k(q). Give t(l(p)).", "a": "361*p**2" }, { "q": "Let q be (1/(-4))/(11/(-88)). Let r(s) = 4*s - q*s + 4*s**2 - 2*s. Let g(b) be the third derivative of b**5/20 - 10*b**2 - b. Calculate r(g(y)).", "a": "36*y**4" }, { "q": "Let d(i) = i**2 + 3. Let o(j) = 3*j. Let y(h) = -4*h. Let c(b) = 6*o(b) + 5*y(b). Calculate d(c(n)).", "a": "4*n**2 + 3" }, { "q": "Let y(p) = p**2 + 776*p. Let c(t) = -2*t**2 - 53 + 68 - 15. Calculate y(c(n)).", "a": "4*n**4 - 1552*n**2" }, { "q": "Let v(i) = 2*i. Let f(h) = -593 - 48*h + 373 + 220. Calculate v(f(a)).", "a": "-96*a" }, { "q": "Let c(v) = -3*v**2 - 88*v - 12. Let d(j) = 9*j. Determine d(c(l)).", "a": "-27*l**2 - 792*l - 108" }, { "q": "Let q(i) = 5*i + 18182. Let z(g) = 10*g. Give z(q(l)).", "a": "50*l + 181820" }, { "q": "Let g(r) = 125*r. Let x(p) = 13998*p - 4. Give x(g(w)).", "a": "1749750*w - 4" }, { "q": "Let s(f) = 811*f. Let o(y) = -15*y + 2. Let l(m) = 66*m - 9. Let p(d) = -2*l(d) - 9*o(d). Give p(s(h)).", "a": "2433*h" }, { "q": "Let b(z) = -16*z + 12. Let v(d) = 2*d - 179. Calculate v(b(y)).", "a": "-32*y - 155" }, { "q": "Let d(h) = 3*h**2. Let f(s) = 375*s + 975. Let p(j) = -7*j - 18. Let k(c) = -6*f(c) - 325*p(c). Give d(k(i)).", "a": "1875*i**2" }, { "q": "Let c(t) = -401*t. Let r(x) = -3*x**2 - 1118901 + 1118901. Determine r(c(d)).", "a": "-482403*d**2" }, { "q": "Let j(h) = -3315*h - 3184*h + 6687*h. Let v(g) = -5*g. What is j(v(x))?", "a": "-940*x" }, { "q": "Let t(h) = 52*h**2 - 5*h - 5. Let c(b) = 22*b**2 - 2*b - 2. Let x(i) = -5*c(i) + 2*t(i). Let j(v) = v + 8 - 8. Give j(x(z)).", "a": "-6*z**2" }, { "q": "Let g(r) = -25*r + 4. Let k(u) = 71*u - 11. Let z(p) = 11*g(p) + 4*k(p). Let a = 5 - 3. Let i(f) = -f**a - f + f. What is z(i(c))?", "a": "-9*c**2" }, { "q": "Let s(o) = -61*o. Let k(z) = 30*z + 5. Let j(x) = 15*x + 2. Let n(q) = -5*j(q) + 2*k(q). Calculate s(n(b)).", "a": "915*b" }, { "q": "Let y(w) = -3246*w + 9. Let l(h) = h**2. Calculate l(y(q)).", "a": "10536516*q**2 - 58428*q + 81" }, { "q": "Let d(h) be the third derivative of -749*h**4/24 + 1219*h**2. Let j(t) = -2*t**2. Determine j(d(q)).", "a": "-1122002*q**2" }, { "q": "Let f(z) be the third derivative of -z**6/360 + 4*z**3 + 57*z**2. Let m(w) be the first derivative of f(w). Let c(k) = -5*k. Calculate c(m(a)).", "a": "5*a**2" }, { "q": "Let x(z) be the second derivative of 5*z**4/4 + z**2 - 40*z - 12. Let c(j) = 2*j**2. Give c(x(u)).", "a": "450*u**4 + 120*u**2 + 8" }, { "q": "Let j(v) = -2*v. Let d(h) be the third derivative of 139*h**4/24 - h**2 + 791. Determine d(j(f)).", "a": "-278*f" }, { "q": "Let a(m) = 1337*m - 12. Let s(p) = 50*p - 1. Give s(a(l)).", "a": "66850*l - 601" }, { "q": "Let w(f) = -12435075*f. Let j(l) = -l**2. What is w(j(i))?", "a": "12435075*i**2" }, { "q": "Let z(x) = 17779237*x**2. Let y(g) = g. Determine y(z(f)).", "a": "17779237*f**2" }, { "q": "Let m(v) = -6*v**2 + 56. Let r(l) = 11*l**2 - 98. Let y(f) = 7*m(f) + 4*r(f). Let i(k) = -21*k + 4. What is y(i(u))?", "a": "882*u**2 - 336*u + 32" }, { "q": "Suppose -22*s = -32*s + 30. Let u(z) = -3*z + 2 + 10*z + s*z. Let k(d) = d**2. What is k(u(c))?", "a": "100*c**2 + 40*c + 4" }, { "q": "Let o(k) be the second derivative of -k**3/3 + 1453*k. Let g(i) = -i - 435. Calculate g(o(c)).", "a": "2*c - 435" }, { "q": "Let d(v) = -3*v. Let p(f) be the third derivative of 1201*f**5/60 + 234*f**2 + f. Give p(d(m)).", "a": "10809*m**2" }, { "q": "Let y(u) = 1252 + 3*u - 2504 + 1252. Let v(i) be the second derivative of 0 + 0*i**2 + 5*i + 0*i**3 - 1/12*i**4. Determine v(y(z)).", "a": "-9*z**2" }, { "q": "Let h(m) be the third derivative of 0*m**3 - 12*m**2 + 0 + 1/24*m**4 + 0*m. Let w(f) = 15*f. Let d(k) = -7*k. Let b(p) = -5*d(p) - 3*w(p). Give b(h(j)).", "a": "-10*j" }, { "q": "Let q(c) = -c. Let u(s) = -2*s - 1813747. What is u(q(j))?", "a": "2*j - 1813747" }, { "q": "Let i(r) = -21*r. Let a = -497 - -736. Let b(t) = -125*t - 117*t + a*t. Determine i(b(x)).", "a": "63*x" }, { "q": "Let m(d) = -d**2. Let v(h) be the third derivative of -33*h**2 + 1/12*h**5 + 0*h**4 + 13/6*h**3 + 0*h + 0. Determine v(m(l)).", "a": "5*l**4 + 13" }, { "q": "Let k(n) = -36*n. Let f(j) = -334303*j. Give k(f(w)).", "a": "12034908*w" }, { "q": "Let f(i) = -24*i**2 - i. Let l(m) = 94*m - 16. Let z(s) = -12*s + 2. Let j(o) = -l(o) - 8*z(o). Determine f(j(a)).", "a": "-96*a**2 - 2*a" }, { "q": "Let y(f) = -5*f**2 - 32*f. Let x(n) = 9*n - 7*n + 19062 - 19062. Calculate y(x(d)).", "a": "-20*d**2 - 64*d" }, { "q": "Let j(v) = v. Let b(x) = -9814649*x. What is b(j(d))?", "a": "-9814649*d" }, { "q": "Let z(b) = 23*b**2. Let c(v) = 638759*v**2. What is c(z(m))?", "a": "337903511*m**4" }, { "q": "Let u(y) = y. Let l(g) = 21*g**2 + 312*g**2 - 35*g**2 + 5*g**2 - 87*g**2. Determine l(u(w)).", "a": "216*w**2" }, { "q": "Let m(q) = -98*q**2. Suppose 20 = 4*d, -4*d = 5*n - n - 4244. Let c(t) = -t**2 - 1056*t + n*t. What is c(m(h))?", "a": "-9604*h**4" }, { "q": "Let h(l) = 21*l. Suppose 0 = -5*u + 223 - 8. Let a = -1716 + 1718. Let z(j) = 24 - a*j + 19 - u. Give h(z(i)).", "a": "-42*i" }, { "q": "Let w(n) = -16*n + 2. Let a(r) = 3. Let f(s) = -1. Let y(b) = -a(b) - 4*f(b). Let l = -17 - -18. Let v(j) = l*w(j) - 2*y(j). Let t(z) = 2*z. Determine v(t(d)).", "a": "-32*d" }, { "q": "Let k(b) = -2*b. Let u(t) = 16*t - 6500. Give k(u(z)).", "a": "-32*z + 13000" }, { "q": "Let g(w) = -2931*w + 2. Let z(s) = -44*s - 1. Calculate z(g(d)).", "a": "128964*d - 89" }, { "q": "Let v(u) = 6 + 3*u - 10 - 5*u - 7 + 13. Let f(x) = -3*x**2. Determine v(f(z)).", "a": "6*z**2 + 2" }, { "q": "Let u be -2 - 39/(2*4/(-16)). Suppose 0*n + 4*a = 4*n - u, 3*n = -4*a + 78. Let i(d) = n*d - 25*d + 2 - 2. Let y(p) = 3*p**2. Determine i(y(q)).", "a": "-9*q**2" }, { "q": "Let s(o) be the first derivative of 2*o**3/3 + 1292. Let x(c) = -406*c**2. Calculate x(s(b)).", "a": "-1624*b**4" }, { "q": "Let j(z) be the second derivative of 7*z**5/60 + 34*z**2 + 30*z - 1. Let p(w) be the first derivative of j(w). Let k(s) = 4*s**2. What is p(k(r))?", "a": "112*r**4" }, { "q": "Let p(x) = 1 - 3 - 1371*x**2 - 1405*x**2 + 2735*x**2. Let l(f) = 3*f. What is l(p(t))?", "a": "-123*t**2 - 6" }, { "q": "Let t(s) = -s**2 - 3542*s + 12. Let w(n) = 16*n. Give w(t(i)).", "a": "-16*i**2 - 56672*i + 192" }, { "q": "Let i(w) = 2*w. Let r(l) = -272417*l**2 + 9. Calculate i(r(p)).", "a": "-544834*p**2 + 18" }, { "q": "Let n(o) = 460*o**2 + 4186*o. Let h(r) = -17*r**2 - 156*r. Let a(l) = -161*h(l) - 6*n(l). Let q(x) = 31*x**2. Determine a(q(u)).", "a": "-22103*u**4" }, { "q": "Let d(t) = -119*t. Let h(p) be the second derivative of -7*p**3/6 - 2*p - 305. What is d(h(v))?", "a": "833*v" }, { "q": "Let d(n) = -20*n. Let g(z) = -273171*z. Give g(d(q)).", "a": "5463420*q" }, { "q": "Let w(t) = 5*t - 6. Let o(l) = 57*l - 37*l + 15*l**2 + 6*l**2 - 20*l. Determine o(w(g)).", "a": "525*g**2 - 1260*g + 756" }, { "q": "Let s(j) = -386173*j. Let l(i) = -18*i**2. What is s(l(b))?", "a": "6951114*b**2" }, { "q": "Let p(d) = -3*d. Let w(j) be the second derivative of -32*j - 9/2*j**3 + 0 + 0*j**2. Calculate p(w(c)).", "a": "81*c" }, { "q": "Let o(i) = i**2. Suppose 2*b = 5 - 1. Let p = 131 + -128. Let v(x) = x**2 + 0*x**2 - x**b - p*x**2. Determine o(v(q)).", "a": "9*q**4" }, { "q": "Let a(f) be the second derivative of -f**3/6 - 55*f. Let z(o) be the first derivative of 4*o**3/3 - 48. What is a(z(n))?", "a": "-4*n**2" }, { "q": "Let k(m) = -3*m. Let u(x) = 61904 - 61904 + x**2 + 23*x. Calculate u(k(j)).", "a": "9*j**2 - 69*j" }, { "q": "Let t(o) be the second derivative of 13*o**3/2 + 3*o. Let l(v) = 63 - 67 + 70 - 66 - v**2. Determine l(t(g)).", "a": "-1521*g**2" }, { "q": "Let t(u) = 10*u**2. Let o = 2 + 4. Suppose -n = -4*n + o. Let d(a) = a + 3*a - 3*a + n*a. Calculate t(d(i)).", "a": "90*i**2" }, { "q": "Let t(o) be the first derivative of 0*o - 1/3*o**3 + 0*o**2 + 16. Let n(m) be the first derivative of 3*m**2/2 - 1. What is t(n(f))?", "a": "-9*f**2" }, { "q": "Let u(j) = 678*j. Let l(d) = 9. Let n(i) = -i**2 + 12. Let z(t) = 4*l(t) - 3*n(t). Calculate z(u(w)).", "a": "1379052*w**2" }, { "q": "Suppose o = 5*o + 4*o. Suppose 5*y - 11 - 4 = 5*d, 15 = 3*y - 5*d. Let s(n) = 0*n + o + y - n. Let q(u) = 6*u. Give s(q(p)).", "a": "-6*p" }, { "q": "Let h(i) = 11*i + 49. Let g be h(-4). Let w(l) = -2. Let q(j) = -9*j - 10. Let n(f) = g*w(f) - q(f). Let c(z) = -10*z. Determine n(c(p)).", "a": "-90*p" }, { "q": "Let f(k) be the first derivative of 2*k**2 - 109. Let l(i) be the third derivative of 3*i**2 + 5/24*i**4 + 0 + 0*i + 0*i**3. Give l(f(s)).", "a": "20*s" }, { "q": "Let d(p) = 93*p + 81. Let w(z) = 40*z + 40. Let f(h) = 3*d(h) - 7*w(h). Let s(l) = l. Determine s(f(j)).", "a": "-j - 37" }, { "q": "Let p(v) = -114*v**2 + 6. Let b(x) = -32*x + 2. What is p(b(y))?", "a": "-116736*y**2 + 14592*y - 450" }, { "q": "Let l(d) = -8*d + 3. Let r(k) = 50*k + 17. Let j(s) = 6*l(s) - r(s). Let h(b) = 4*b. Give j(h(x)).", "a": "-392*x + 1" }, { "q": "Let n(x) = -3*x**2 - 7*x - 7. Let t(z) = 2*z**2 + 4*z + 4. Let i(w) = -4*n(w) - 7*t(w). Let a(k) = -k**2 - 78. Determine i(a(s)).", "a": "-2*s**4 - 312*s**2 - 12168" }, { "q": "Let s(b) = -301*b. Let d(l) = -l**2 - 7401. Determine d(s(n)).", "a": "-90601*n**2 - 7401" }, { "q": "Let w(b) be the third derivative of -b**5/60 + 1114*b**2. Let l(t) = -2*t**2 - 56*t. What is w(l(s))?", "a": "-4*s**4 - 224*s**3 - 3136*s**2" }, { "q": "Let s(d) = -581*d. Let a(h) = -2674*h - 1. What is a(s(f))?", "a": "1553594*f - 1" }, { "q": "Let m(j) = -2*j**2. Let g(w) = 216*w + 63. Let r(z) = -7*z - 2. Suppose 0 = 38*f - 39*f + 2. Let u(b) = f*g(b) + 63*r(b). What is m(u(c))?", "a": "-162*c**2" }, { "q": "Let b(l) be the third derivative of 101*l**4/6 + 1009*l**2 + l. Let a(p) = 3*p. What is b(a(c))?", "a": "1212*c" }, { "q": "Let t(y) = 74*y - 19. Let a(v) = 8*v - 2. Let x(p) = -19*a(p) + 2*t(p). Let r(n) = n + 564. Give x(r(s)).", "a": "-4*s - 2256" }, { "q": "Let o(y) = -y**2. Let h(x) = -78*x - 880. Give h(o(f)).", "a": "78*f**2 - 880" }, { "q": "Let c(f) = -2783*f. Let v(u) = -8*u**2 + 10*u - 9. Calculate c(v(h)).", "a": "22264*h**2 - 27830*h + 25047" }, { "q": "Let o(y) = -y + 505. Let j(n) = 10*n - 4545. Let z(c) = -2*j(c) - 18*o(c). Let u(m) be the second derivative of 17*m**4/12 - m. Determine z(u(t)).", "a": "-34*t**2" }, { "q": "Let q(t) be the third derivative of 0 + 0*t**4 - 1/60*t**5 + 71*t**2 + 0*t + 0*t**3. Let z(j) = -28*j**2. What is q(z(n))?", "a": "-784*n**4" }, { "q": "Let d(r) be the second derivative of -7*r**4/12 + r - 90. Let m(k) = -148*k**2. Calculate m(d(s)).", "a": "-7252*s**4" }, { "q": "Let t(a) = 111*a + 70 - 49*a - 61*a. Let p(z) = -6*z**2. Give p(t(u)).", "a": "-6*u**2 - 840*u - 29400" }, { "q": "Let h(k) = -333634*k. Let q(x) = -3*x. Calculate q(h(f)).", "a": "1000902*f" }, { "q": "Let y(h) = 27*h. Let r(l) = 25*l - 52. Let s(u) = -4050*u + 8450. Let b(o) = 325*r(o) + 2*s(o). Give y(b(z)).", "a": "675*z" }, { "q": "Let h(g) = -g**2 - 13. Let q(u) = 38*u**2 + 3*u + 6. Let m(c) = 13*c**2 + c + 2. Let y(d) = 3*m(d) - q(d). What is h(y(n))?", "a": "-n**4 - 13" }, { "q": "Let n(h) be the third derivative of -h**4/12 + 972*h**2. Let y(s) = -786*s**2. Calculate n(y(k)).", "a": "1572*k**2" }, { "q": "Let k be 40 + 0 - 32/8. Let g(i) = -k*i**2 + 22*i**2 + 16*i**2. Let t(h) = -78*h. Determine g(t(j)).", "a": "12168*j**2" }, { "q": "Let t(m) = -6*m**2. Let s(q) = -q**3 - 26*q**2 + 24*q - 6. Let y be s(-27). Let z(n) = y*n + 61*n - 190*n + 64*n. Calculate t(z(o)).", "a": "-600*o**2" }, { "q": "Let j(d) = 2*d**2 - 60*d + 30. Let t(r) = 2*r - 1. Let x(m) = 2*j(m) + 60*t(m). Let f(v) = 6*v**2 + v**2 - 7*v**2 + 3*v**2. Give x(f(h)).", "a": "36*h**4" }, { "q": "Let m(x) be the third derivative of -x**5/60 + 134*x**2. Let h(n) = -48*n**2 - 3*n + 6. Let s(o) = -o**2 - o + 1. Let g(b) = -h(b) + 6*s(b). Calculate g(m(z)).", "a": "42*z**4 + 3*z**2" }, { "q": "Let n(h) = 5*h**2 - 3*h**2 + 0*h**2. Let u(d) = -3*d**2 - 6. Let f(s) = -s**2 - 5. Let x(r) = -7*f(r) + 6*u(r). Determine x(n(z)).", "a": "-44*z**4 - 1" }, { "q": "Let n be 4 + (-154)/(-14) + -4. Suppose -5*q = 3*p - 2 - 5, 2*q - 6 = 2*p. Let v(c) = -q*c + 20*c + n*c. Let o(t) = -t. Calculate o(v(d)).", "a": "-29*d" }, { "q": "Let j(y) = -14*y. Let v(r) be the second derivative of 29*r**3/3 - r**2 + 1369*r. Calculate v(j(t)).", "a": "-812*t - 2" }, { "q": "Let h(k) = 2*k**2. Let u(s) be the second derivative of s**4/12 + 42*s. Let d(c) = -35*c**2. Let x(z) = -d(z) - 4*u(z). Determine x(h(q)).", "a": "124*q**4" }, { "q": "Suppose 123 = f - 5*b, -4*f + 123 = -3*f - 4*b. Let y(o) = f + 4*o - 123. Let n(l) = 5*l + 30. Let i(u) = -1. Let m(p) = -30*i(p) - n(p). What is y(m(k))?", "a": "-20*k" }, { "q": "Let h(p) = -510*p. Let q(a) = -4038*a - 2. What is q(h(c))?", "a": "2059380*c - 2" }, { "q": "Suppose 0 = -4*g - j - 14, -3*g - 21 = 2*g + 3*j. Let d be (-4 + 3 - g) + 8. Let h(q) = -d*q + 5*q**2 + 10*q - 13*q**2. Let x(v) = 2*v. Calculate x(h(c)).", "a": "-16*c**2" }, { "q": "Let q be 2/(6/(-3)) - 17. Let y be 6/(-8)*2*132/q. Let p(o) = 8*o**2 - 2*o**2 + y*o**2. Let r(l) = l**2. Determine p(r(j)).", "a": "17*j**4" }, { "q": "Let f(d) = -3*d**2. Let t(n) = -111*n**2 - 4*n - 2. Let g(q) = -q**2 + q + 1. Let u(r) = 4*g(r) + t(r). Give u(f(o)).", "a": "-1035*o**4 + 2" }, { "q": "Let i(m) be the first derivative of 2*m**3/3 + 46. Let n(z) be the second derivative of 0 + z + 0*z**2 + 13/6*z**3. Give n(i(r)).", "a": "26*r**2" }, { "q": "Let c(v) = 1 + 48*v - 16*v + 8*v - 16*v - 25*v. Let r(o) = 11*o. Determine r(c(p)).", "a": "-11*p + 11" }, { "q": "Let r(u) = -u. Let c = -30 + 89. Let x = c + -48. Let p(y) = 11*y - 22*y + x*y - 20*y**2. What is r(p(v))?", "a": "20*v**2" }, { "q": "Let m(r) = 2*r. Let g(k) = 5459515*k. Calculate g(m(c)).", "a": "10919030*c" }, { "q": "Let i(l) = 27*l**2 + 24*l + 2. Let f(x) = -26*x**2 - 18*x - 2. Let o(j) = 4*f(j) + 3*i(j). Let t(n) = -3 + 3 - 107*n + 108*n. Give o(t(a)).", "a": "-23*a**2 - 2" }, { "q": "Let n(y) = -3*y. Let g(h) = 1345050*h. Calculate g(n(r)).", "a": "-4035150*r" }, { "q": "Let f(j) = j - 3. Let p(n) = -295139*n. Give p(f(i)).", "a": "-295139*i + 885417" }, { "q": "Let p(v) = 33*v. Let t(f) = 14*f + 1048 + 1072 - 2120. Determine t(p(g)).", "a": "462*g" }, { "q": "Let c(u) = 190*u. Let k(n) be the second derivative of 2*n**4/3 + 219*n. Give c(k(q)).", "a": "1520*q**2" }, { "q": "Let f(i) = 2*i**2. Suppose d + 2*j + 2*j = 3, -d = -3*j - 3. Let m(p) = 3 - d + 40*p - 2. Determine m(f(y)).", "a": "80*y**2 - 2" }, { "q": "Let a(b) be the third derivative of -3*b**4/8 - b**2. Let l(k) = 105*k + 13*k + 11*k - 131*k. Calculate l(a(r)).", "a": "18*r" }, { "q": "Let n = 64 + -62. Suppose -4 + 1 = -g. Let v(b) = n*b + b - g*b - 3*b. Let m(l) = 9*l. Determine m(v(w)).", "a": "-27*w" }, { "q": "Let o(h) = -14*h - 3. Let s be (60/40)/((-3)/(-10)). Let a(k) = -8*k**2 + 3*k. Let i(f) = -14*f**2 + 5*f. Let z(b) = s*a(b) - 3*i(b). What is z(o(d))?", "a": "392*d**2 + 168*d + 18" }, { "q": "Let l be (2 - 8/2) + 10 + (-24)/3. Let p(t) be the third derivative of 1/60*t**5 + 0*t + 0*t**3 + l + 0*t**4 - 13*t**2. Let h(r) = -15*r. What is p(h(g))?", "a": "225*g**2" }, { "q": "Let v(d) = -d. Let q(g) = -7*g + 1658412. Calculate v(q(t)).", "a": "7*t - 1658412" }, { "q": "Let m(g) = -8*g**2 - 2*g. Let c(u) be the third derivative of 15*u**2 - 1/12*u**4 + 0 + 0*u**3 - 2*u. Give m(c(o)).", "a": "-32*o**2 + 4*o" }, { "q": "Let g(m) = -11*m**2. Let k(q) = 632249*q. Give g(k(p)).", "a": "-4397126778011*p**2" }, { "q": "Let z(o) = 91*o**2. Let w(c) = -78133*c. Determine w(z(b)).", "a": "-7110103*b**2" }, { "q": "Let v(k) = 163*k. Let m(b) = 1063*b**2 - 1066*b**2 - 1 + 1. Calculate v(m(w)).", "a": "-489*w**2" }, { "q": "Let l(b) = -b. Let x(n) = -n + 1246552. Calculate x(l(s)).", "a": "s + 1246552" }, { "q": "Let f(i) = -i. Let b(g) = 16130756*g**2. Give f(b(s)).", "a": "-16130756*s**2" }, { "q": "Let z(c) be the second derivative of 9*c**4 + c**3/3 - 919*c. Let l(a) = 4*a. Determine l(z(h)).", "a": "432*h**2 + 8*h" }, { "q": "Let g(y) = -2*y**2 - 2*y + 12. Let q(r) = 6*r**2 + 7*r - 42. Let b(z) = -21*g(z) - 6*q(z). Let f(v) = -24*v**2. What is b(f(w))?", "a": "3456*w**4" }, { "q": "Let p(t) = -1517013*t**2. Let f(a) = -13*a. What is p(f(d))?", "a": "-256375197*d**2" }, { "q": "Let c(k) = 5*k**2 + 3*k + 3. Let j(y) = -4*y**2 - 2*y - 2. Let f(b) = -2*c(b) - 3*j(b). Let s(v) = 1190*v. What is s(f(x))?", "a": "2380*x**2" }, { "q": "Let c(w) = 16116*w. Let s(z) = 409*z. Determine s(c(q)).", "a": "6591444*q" }, { "q": "Let m(r) be the second derivative of -r**4 - r. Let q = 6 - 5. Let k(z) = z. Let d(h) = 8*h. Let u(a) = q*d(a) - 6*k(a). What is m(u(p))?", "a": "-48*p**2" }, { "q": "Let m(w) be the second derivative of w**4/6 + 10*w + 2. Let t(x) = 3*x**2 - 44. Calculate t(m(o)).", "a": "12*o**4 - 44" }, { "q": "Let t(q) be the first derivative of 67 + 52*q**2 + q**3 + 48*q**2 - 100*q**2. Let r(u) = -2*u**2 + 17. What is t(r(o))?", "a": "12*o**4 - 204*o**2 + 867" }, { "q": "Let a(j) = 41*j. Let s(u) = -15400*u - 4. Determine s(a(i)).", "a": "-631400*i - 4" }, { "q": "Let b(x) = 28*x**2. Suppose 19 = 4*g - 3*u - 2, -2 = -g + 4*u. Let t(j) = -g*j - j + 2*j + 2*j. Calculate t(b(p)).", "a": "-84*p**2" }, { "q": "Let k(a) = -624*a**2. Let g(d) = 12*d**2 - 8*d**2 - 10*d**2 + 2*d**2 + 2*d**2. Give g(k(y)).", "a": "-778752*y**4" }, { "q": "Let d(s) be the second derivative of -s + 0*s**2 + 2/3*s**3 - 63. Let m(f) = 27*f. What is m(d(g))?", "a": "108*g" }, { "q": "Let f(t) = -2*t. Let y(q) = 12*q**2 + 13*q. Let s(u) = -u**2 - 10*u. Let h(l) = -3*s(l) - 3*y(l). Determine h(f(p)).", "a": "-132*p**2 + 18*p" }, { "q": "Let g(h) = 3*h**2 - 3*h**2 + h**2. Suppose 18 = 5*q + 4*q. Let x(f) = -161*f**q + 330*f**2 - 166*f**2. Determine g(x(o)).", "a": "9*o**4" }, { "q": "Let u(s) = 194*s**2. Let d(a) = 2*a - 54. Let y(q) = 6*q - 171. Let n(c) = -19*d(c) + 6*y(c). What is u(n(x))?", "a": "776*x**2" }, { "q": "Let p(o) = -5*o**2 + 129*o. Let u(r) = -2*r**2 + 43*r. Let s(k) = 4*p(k) - 11*u(k). Let v(n) be the second derivative of n**4/6 - 6*n - 1. Calculate s(v(g)).", "a": "8*g**4 + 86*g**2" }, { "q": "Let m(l) = 2*l**2 - 40*l. Let q(s) be the third derivative of s**6/360 - s**4 + 67*s**2. Let a(g) be the second derivative of q(g). Determine m(a(k)).", "a": "8*k**2 - 80*k" }, { "q": "Let q(l) = -3*l + 94 - 43 - 12 - 39. Let y(g) = g**2 + 270. Give y(q(k)).", "a": "9*k**2 + 270" }, { "q": "Let s(o) = -o**2 + 4632*o - 1. Let g(j) = 1351*j. Determine g(s(c)).", "a": "-1351*c**2 + 6257832*c - 1351" }, { "q": "Let k(s) = -55*s**2 + 45*s. Let i(h) = 57*h + 0*h**2 - 61*h + 5*h**2. Let x(a) = -45*i(a) - 4*k(a). Let n(c) = -c. What is n(x(b))?", "a": "5*b**2" }, { "q": "Let s(b) = -464*b + 35. Let c(m) = -424*m. Calculate c(s(u)).", "a": "196736*u - 14840" }, { "q": "Let g(u) = -4*u + 13. Let n(f) = 33*f**2 - 22*f + 14. Calculate g(n(l)).", "a": "-132*l**2 + 88*l - 43" }, { "q": "Let z(w) = -2*w**2. Let x(o) = 58*o - 6. Let k(j) = -58*j + 8. Suppose 0*h = 5*n + h - 22, 5*n + 3*h = 26. Let g(d) = n*x(d) + 3*k(d). Give z(g(u)).", "a": "-6728*u**2" }, { "q": "Let u(p) = -2*p. Let f(t) = 7*t**2 + 29*t + 11. Let g be f(-8). Let c(d) = 29*d**2 - 450*d + 223*d + g*d. Determine c(u(z)).", "a": "116*z**2" }, { "q": "Let y(d) = 41*d**2 - 58 + 2*d**2 - 17*d**2 + 58. Let p(w) = 7*w. Determine p(y(r)).", "a": "182*r**2" }, { "q": "Let a(p) be the second derivative of -31*p**3/3 - 42*p. Let o(c) = -8*c + 6*c + 2*c + c. Give a(o(q)).", "a": "-62*q" }, { "q": "Let a(x) = -3*x**3 - x**2. Let z be a(-1). Let w(q) = 0*q**2 - 7*q**2 - 6*q**2 + 12*q**z. Let g(n) = 2*n**2. What is g(w(y))?", "a": "2*y**4" }, { "q": "Let d(c) = 17*c**2 + 1. Let l(v) = -2*v - 28925. Calculate l(d(z)).", "a": "-34*z**2 - 28927" }, { "q": "Let b(m) = -44*m - 17. Let v(w) = -124*w - 54. Let p(q) = 14*b(q) - 5*v(q). Let c(t) = 4*t**2. Give p(c(k)).", "a": "16*k**2 + 32" }, { "q": "Let k(w) = 1570937*w - 1. Let y(z) = -2*z. Give k(y(l)).", "a": "-3141874*l - 1" }, { "q": "Let x(m) be the third derivative of 0 + 0*m**3 - 11/60*m**5 - 9*m**2 + 0*m**4 + 0*m. Let k(y) = 2*y - 2*y - y**2. What is x(k(r))?", "a": "-11*r**4" }, { "q": "Let v(q) = 23*q**2 + 36. Let o(i) = 8*i**2 + 10*i - 10. Let p(m) = 5*m**2 + 6*m - 6. Let f(j) = -6*o(j) + 10*p(j). Give v(f(t)).", "a": "92*t**4 + 36" }, { "q": "Let r(n) be the third derivative of -n**4/6 + 4*n**3/3 - 716*n**2. Let o(j) = -7*j**2. What is o(r(s))?", "a": "-112*s**2 + 448*s - 448" }, { "q": "Let c = 44 + -41. Suppose -3*q = -c*w + 24, -4*w = -5*w - 3*q + 12. Let o(p) = -p + w*p - 20*p. Let j(z) = z**2. Calculate j(o(x)).", "a": "144*x**2" }, { "q": "Let g(l) = 2*l**2 + 13*l - 2249. Let x(m) = -9*m**2. What is g(x(c))?", "a": "162*c**4 - 117*c**2 - 2249" }, { "q": "Let s(q) = 5*q + 5. Let t(j) = -182282*j**2. What is s(t(m))?", "a": "-911410*m**2 + 5" }, { "q": "Let z = 4 - 4. Let u(n) = -7*n + 0*n + 8*n + z*n. Let o(a) = -23*a**2 - 5*a - 5. Let x(g) = -11*g**2 - 2*g - 2. Let f(w) = -2*o(w) + 5*x(w). Determine f(u(i)).", "a": "-9*i**2" }, { "q": "Let m(x) = -140*x. Let u(t) = -620*t + 1852*t - 622*t - 618*t. Calculate u(m(z)).", "a": "1120*z" }, { "q": "Let o(j) = j**2. Let d = 1064/13 + -2815/39. Let f(h) be the first derivative of 0*h + d*h**3 + 0*h**2 - 4. Calculate o(f(t)).", "a": "841*t**4" }, { "q": "Let p(t) = 4*t. Let k(g) = -36*g + 94*g - 137 - 30*g - 27*g. Determine k(p(v)).", "a": "4*v - 137" }, { "q": "Let q(x) = -13*x. Let f(k) = k**2 + 6*k. Let d(b) = 28*b**2 - 126*b. Let l(y) = d(y) + 21*f(y). Give q(l(o)).", "a": "-637*o**2" }, { "q": "Let z(t) = -7*t - 1. Let w(x) be the third derivative of 1/60*x**5 + 0*x**4 + 0*x**3 + 3*x**2 + 0 + 3*x. Calculate z(w(h)).", "a": "-7*h**2 - 1" }, { "q": "Let d be -2 - 0 - (-5 - -3). Suppose 5*u - 4*t = 20, d = 3*t - 17 + 2. Let b(l) = 3*l**2 - 8 - u + 16. Let s(j) = 6*j**2. Determine s(b(p)).", "a": "54*p**4" }, { "q": "Let t(b) = 185590*b**2. Let h(w) = -3*w**2. Determine t(h(v)).", "a": "1670310*v**4" }, { "q": "Let x(d) = -6*d. Let l(i) = -26*i**2 - 5*i - 8. Let u(f) = 30*f**2 + 6*f + 10. Let b(p) = 6*l(p) + 5*u(p). Determine x(b(n)).", "a": "36*n**2 - 12" }, { "q": "Let j(s) = -14*s. Let w(l) = -40*l**2 + 6*l - 10. Let i(g) = -38*g**2 + 4*g - 6. Let v(n) = 3*i(n) - 2*w(n). Give j(v(q)).", "a": "476*q**2 - 28" }, { "q": "Let f(l) be the second derivative of 7*l**4/12 - l. Let m(d) = 112*d - 40. Let r(t) = -3*t + 1. Let c(g) = -m(g) - 40*r(g). What is f(c(n))?", "a": "448*n**2" }, { "q": "Let g(v) = 7*v**2. Let l(k) = -56 - 37*k + 14*k + 20*k + 47. What is l(g(t))?", "a": "-21*t**2 - 9" }, { "q": "Let h(t) = -3*t**2 + 1. Let a(j) be the first derivative of 0*j**2 + 1/3*j**3 + 69 + 0*j. What is a(h(k))?", "a": "9*k**4 - 6*k**2 + 1" }, { "q": "Let j(n) = -304*n**2 + 112*n - 224. Let s(y) = -16*y**2 + 6*y - 12. Let d(x) = 3*j(x) - 56*s(x). Let u(b) = 54*b**2. Calculate d(u(p)).", "a": "-46656*p**4" }, { "q": "Let g(a) = -594*a. Let m(s) = s**2 + 12*s + 3. Let d(o) = o**2 + 28*o + 7. Let q(i) = -3*d(i) + 7*m(i). Determine q(g(u)).", "a": "1411344*u**2" }, { "q": "Let m(f) = 60*f. Let t(a) = 9*a**2 - 164*a. What is m(t(j))?", "a": "540*j**2 - 9840*j" }, { "q": "Let d(p) = p**2. Let j(m) = -3*m**2 + 206 - 42*m**2 - 96 - 105. Determine j(d(v)).", "a": "-45*v**4 + 5" }, { "q": "Let l(v) = -307*v**2. Let u(o) = 72636*o. What is l(u(z))?", "a": "-1619728468272*z**2" }, { "q": "Let l(q) = -20*q. Let n(o) = 23*o + 8932. What is l(n(z))?", "a": "-460*z - 178640" }, { "q": "Let b(s) = 10683*s. Let v(p) = 940*p. Give b(v(i)).", "a": "10042020*i" }, { "q": "Let o(v) = 14*v**2 + 2*v. Let p(t) = 6*t**2 + t. Let c(f) = -o(f) + 2*p(f). Let z(s) = -62*s**2. Calculate z(c(i)).", "a": "-248*i**4" }, { "q": "Let i(n) = -n**2. Let l(t) = -300*t + 1099*t - 495*t. Give l(i(a)).", "a": "-304*a**2" }, { "q": "Let t(m) = 351*m. Let y(j) = 5*j**2 + j + 2. Let p(i) = 2*i**2 - i - 2. Let x(g) = p(g) + y(g). What is x(t(b))?", "a": "862407*b**2" }, { "q": "Let o(i) = -17*i**2 - 2*i. Let k(a) = 63*a**2 + 8*a. Let s(w) = k(w) + 4*o(w). Let c(x) = -211*x. Determine s(c(d)).", "a": "-222605*d**2" }, { "q": "Let m(v) be the third derivative of -v**4/6 - v**2. Let a(s) be the first derivative of 6*s**2 - 12357. What is m(a(b))?", "a": "-48*b" }, { "q": "Let f(o) be the second derivative of 0 - 1/3*o**3 - 2*o + 0*o**2. Let k(a) be the third derivative of -17*a**5/30 - 3*a**2 + 1833. What is k(f(d))?", "a": "-136*d**2" }, { "q": "Let u(n) = 3*n - 11*n - 24*n**2 + 8*n. Let t(d) be the first derivative of d**5/30 - 7*d**2/2 + 6. Let s(y) be the second derivative of t(y). What is s(u(l))?", "a": "1152*l**4" }, { "q": "Suppose 5*o + 5*i = -57 - 213, 4*o = -5*i - 215. Let v = -50 - o. Let l(r) = -v*r + 4*r - 5*r + r. Let q(g) = -3*g. Determine l(q(f)).", "a": "15*f" }, { "q": "Let q(m) = 3134*m - 1573*m - 1563*m. Let s(z) = 1311*z**2. Give s(q(p)).", "a": "5244*p**2" }, { "q": "Let s(b) be the second derivative of 1/2*b**3 + 0 + 73*b + 0*b**2. Let q(x) = -4*x. Calculate s(q(k)).", "a": "-12*k" }, { "q": "Let z(n) = -402 + 134 + 139 + 2*n**2 + 129. Let l(y) = 3350*y. What is l(z(f))?", "a": "6700*f**2" }, { "q": "Let v(g) = -5*g + 6*g + 0 + 0. Let n(x) = 10540*x - 5271*x - 5265*x - 5. Give n(v(d)).", "a": "4*d - 5" }, { "q": "Let q(p) be the first derivative of -3/2*p**2 + 0*p + 2. Let k(x) be the second derivative of x**4/4 - 478*x. Give k(q(s)).", "a": "27*s**2" }, { "q": "Let c(z) be the first derivative of 2*z**3/3 + 1617. Let j(f) = -5*f**2 - 16. Determine j(c(b)).", "a": "-20*b**4 - 16" }, { "q": "Let n = -8 + 12. Let y(w) = w + w - n*w. Let d(h) = 112*h**2 + 36*h - 9. Let f(i) = 29*i**2 + 8*i - 2. Let a(m) = 2*d(m) - 9*f(m). Give y(a(z)).", "a": "74*z**2" }, { "q": "Let t(g) = 34*g. Let l be 108/189*(1 + 10/4). Let r(b) = -4*b**2 - 9*b**2 - b**2 + 12*b**l. Determine r(t(j)).", "a": "-2312*j**2" }, { "q": "Let d(i) = -2*i**2 + 346428*i. Let v(n) = -14*n**2. Determine d(v(a)).", "a": "-392*a**4 - 4849992*a**2" }, { "q": "Let n(u) = 79*u - 1. Let w(a) = -181*a - 10. Calculate w(n(o)).", "a": "-14299*o + 171" }, { "q": "Let s(q) = 2*q**2 + 9*q - 9. Let w(c) = -c**2 - 4*c + 4. Let h(r) = -4*s(r) - 9*w(r). Let m(t) = 12 - 1260*t**2 + 1261*t**2 + 17 - 32. What is h(m(k))?", "a": "k**4 - 6*k**2 + 9" }, { "q": "Let s be 2*(-4)/(-8)*-2. Let u be ((-4)/6)/(s/6). Let d(z) = -u*z**2 - 30*z + 30*z. Let f(p) = 41*p. Calculate f(d(t)).", "a": "-82*t**2" }, { "q": "Let v(g) = -17*g. Let n(f) = 240*f. Let q(o) = 6*n(o) + 85*v(o). Let x(i) = i**2 - 33*i. Calculate q(x(m)).", "a": "-5*m**2 + 165*m" }, { "q": "Let w(z) = 33*z**2 - 936*z. Let n(b) = -23*b + 1. Calculate n(w(s)).", "a": "-759*s**2 + 21528*s + 1" }, { "q": "Let k(d) = 0*d**2 - 4*d**2 + 2*d**2. Let r(c) = c**2 - 1. Let p(w) = 21. Let z be (-13 + -1)*54/36. Let f(o) = z*r(o) - p(o). What is f(k(u))?", "a": "-84*u**4" }, { "q": "Let k(t) be the third derivative of 511*t**4/8 - 5*t**2 + 3*t. Let r(h) = -21*h. Let v(d) = -2*k(d) - 147*r(d). Let c(s) = -5*s. Determine c(v(g)).", "a": "-105*g" }, { "q": "Let w(m) = -m**2. Let k(p) be the first derivative of 0*p + 0*p**2 - 23 - 68/3*p**3. Calculate k(w(b)).", "a": "-68*b**4" }, { "q": "Let x(o) = -61*o**2 - 74*o**2 + 138*o**2. Let v(p) = -22*p**2 - 11. Let j(d) = -d**2 - 1. Let f(t) = 22*j(t) - 2*v(t). Give f(x(m)).", "a": "198*m**4" }, { "q": "Let b(v) be the third derivative of -27*v**2 + 0*v + 0 + 1/20*v**5 + 0*v**3 + 0*v**4. Let q(p) be the first derivative of -7*p**3/3 - 1. Give q(b(n)).", "a": "-63*n**4" }, { "q": "Let n(j) = j**2. Let g(t) be the third derivative of t**7/2520 + 17*t**4/6 - 22*t**2. Let r(a) be the second derivative of g(a). Determine r(n(y)).", "a": "y**4" }, { "q": "Let p(r) = -20*r**2 - 105*r. Let g(c) = -1742*c**2. Give p(g(x)).", "a": "-60691280*x**4 + 182910*x**2" }, { "q": "Let u(y) be the first derivative of 0*y**2 - 1 + 0*y + 2/3*y**3. Let j(s) = 6*s - 86 - 149 + 235. Calculate j(u(q)).", "a": "12*q**2" }, { "q": "Let l(w) = -106634*w. Let g(f) = 4*f. Determine g(l(p)).", "a": "-426536*p" }, { "q": "Let n(a) = -3478*a**2. Let s(o) = o - 18 - 105 + 123. What is n(s(u))?", "a": "-3478*u**2" }, { "q": "Let p(q) = 654*q**2. Let w(t) = 0*t + t + 2*t - t + 0*t. Calculate p(w(d)).", "a": "2616*d**2" }, { "q": "Let t(v) be the third derivative of 0 - 1/3*v**4 + 66*v**2 + 0*v**3 + 0*v. Let o(d) = -8*d**2. Determine o(t(f)).", "a": "-512*f**2" }, { "q": "Let o(c) = -79*c. Let x(k) = -3*k**2 + k. Let q(z) = -56*z**2 + 20*z. Let l(n) = -4*q(n) + 80*x(n). Determine l(o(b)).", "a": "-99856*b**2" }, { "q": "Let n(a) be the second derivative of -5*a**4/24 + 17*a**2 + 32*a. Let m(b) be the first derivative of n(b). Let h(s) = -s**2. Give m(h(z)).", "a": "5*z**2" }, { "q": "Let y(r) be the third derivative of -23*r**5/60 + 206*r**2 + r. Let m = 11 + 6. Let s(l) = -2*l - m*l**2 + 18*l**2 + 2*l. What is y(s(k))?", "a": "-23*k**4" }, { "q": "Let g(i) = 6*i**2 - 16*i. Let q(t) = -7*t**2 + 20*t. Let j(s) = -5*g(s) - 4*q(s). Let k(c) = 9*c**2. Give j(k(f)).", "a": "-162*f**4" }, { "q": "Let o(x) be the second derivative of x**3/6 + 7*x**2/2 + 20*x + 3. Let a(p) = 6 - 10 + 3*p + 4. What is o(a(n))?", "a": "3*n + 7" }, { "q": "Let o(z) = 2*z**2. Let h be 18*2/(-4) - -3. Let j be h/3 + 8/2. Let m(u) = u**2 - u**2 + 5*u**2 - 4*u**j. Calculate m(o(b)).", "a": "4*b**4" }, { "q": "Let y(b) = 20*b**2 + 2*b. Let m(v) = -12*v + 4. Let a(x) = x**2 + 27*x - 9. Let u(c) = 4*a(c) + 9*m(c). Give u(y(f)).", "a": "1600*f**4 + 320*f**3 + 16*f**2" }, { "q": "Let c(b) = 6*b + 34*b - 11*b. Let x(d) = 28*d. Let q(j) = -3*c(j) + 4*x(j). Let o(l) = -94*l + 62*l + l**2 + 17*l + 15*l. Calculate o(q(h)).", "a": "625*h**2" }, { "q": "Let c(b) = -156*b**2. Let f = -13 + 19. Let r(w) = 13*w - 6. Let o(j) = -2*j + 1. Let h(t) = f*o(t) + r(t). Determine c(h(k)).", "a": "-156*k**2" }, { "q": "Let j(t) = -6*t. Let u(p) be the third derivative of 0*p**3 + 0 + 13*p**2 - 7/24*p**4 + 0*p. Let c(m) = 6*j(m) - 5*u(m). Let o(n) = n**2. Determine o(c(i)).", "a": "i**2" }, { "q": "Let n be 1 - (-1)/(-2 + 3). Let w(v) = 4*v**n - 3*v**2 + 3*v**2. Let l(y) be the second derivative of -y**4/4 - 98*y. Determine w(l(o)).", "a": "36*o**4" }, { "q": "Let b(z) = -2*z**2. Let d(r) = 2*r - 21294009. What is d(b(m))?", "a": "-4*m**2 - 21294009" }, { "q": "Let f(j) be the second derivative of -2 + 0*j**3 + 63*j - 1/3*j**4 + 0*j**2. Let w(z) = 3*z - 3*z - 4*z**2. Determine w(f(i)).", "a": "-64*i**4" }, { "q": "Let v(a) = -83*a. Let i(z) be the second derivative of z**3/2 - 514*z. What is v(i(j))?", "a": "-249*j" }, { "q": "Let y = 125 + -123. Let g(v) = 25*v**y - 13*v**2 - 13*v**2. Let d(m) = -m - 22*m**2 + m. Determine g(d(w)).", "a": "-484*w**4" }, { "q": "Let l(q) = -29*q - 3. Let d(r) = 30163*r**2. Determine l(d(n)).", "a": "-874727*n**2 - 3" }, { "q": "Let g(k) be the third derivative of 0 + 0*k**3 - 29/24*k**4 - 29*k**2 + 0*k. Let x(c) = -2*c. Give g(x(z)).", "a": "58*z" }, { "q": "Let p(v) = -59*v**2. Let q be (15/6 - 2)*16. Let t(l) = -17*l + q*l + 9*l + l. What is t(p(g))?", "a": "-59*g**2" }, { "q": "Let m(u) = -2008*u**2. Let c(y) be the third derivative of y**5/60 + 817*y**2. What is m(c(o))?", "a": "-2008*o**4" }, { "q": "Let r(a) = -2*a**2 + 20*a. Let n(w) = -w + 9. Let s be n(7). Let d(c) = 4*c + 2. Let f(l) = -l**2 + 6*l + 3. Let g(k) = s*f(k) - 3*d(k). Calculate r(g(i)).", "a": "-8*i**4 - 40*i**2" }, { "q": "Let g(z) be the third derivative of -z**4/8 - z**2 - 117*z. Let r(l) = -53*l**2. What is g(r(i))?", "a": "159*i**2" }, { "q": "Let t(j) = -7*j. Let v(d) = 32*d - 59*d + 18 + 26*d. Determine v(t(w)).", "a": "7*w + 18" }, { "q": "Let x(i) = 8940*i - 1. Let s(n) = -1233*n. Determine s(x(w)).", "a": "-11023020*w + 1233" }, { "q": "Let c(w) = -6*w + 8*w**2 + 6*w. Let n(x) = 42*x - 9. Let u(m) = -9*m + 2. Let v(f) = -2*n(f) - 9*u(f). Determine v(c(d)).", "a": "-24*d**2" }, { "q": "Let l(q) = 5*q + q - 7*q. Let z(p) be the second derivative of -p**4/12 - 12*p - 1. Give z(l(t)).", "a": "-t**2" }, { "q": "Let k(n) be the second derivative of -877*n**3/6 - 39*n. Let g(j) = -2*j. Give k(g(v)).", "a": "1754*v" }, { "q": "Let o = 58 + -56. Let l(w) = -11 + 9 + o - 17*w. Let p(c) be the first derivative of c**2/2 - 2. Calculate p(l(x)).", "a": "-17*x" }, { "q": "Let t(u) be the third derivative of 0*u + 0*u**3 - 16*u**2 + 17/6*u**4 + 1. Let j(n) = n**2. What is j(t(k))?", "a": "4624*k**2" }, { "q": "Let b(s) = 84*s. Let m(g) be the first derivative of -g**2 - 369. Calculate b(m(j)).", "a": "-168*j" }, { "q": "Let s be 3752/98 + 2/(-7). Let u(y) = s*y + 46*y - 92*y. Let q(i) = -6*i. Give q(u(h)).", "a": "48*h" }, { "q": "Let v(q) = -3. Let b(h) = h - 2. Let j(o) = 3*b(o) - 2*v(o). Let f(n) = 6*n. Determine f(j(i)).", "a": "18*i" }, { "q": "Let a(f) = -752*f + 250*f + 248*f + 255*f. Let y(d) = 155*d**2 + 45. Let j(h) = -7*h**2 - 2. Let m(i) = 45*j(i) + 2*y(i). Determine m(a(u)).", "a": "-5*u**2" }, { "q": "Let h(c) = 8*c. Let t(k) be the first derivative of -118*k**3/3 - 1417. What is t(h(a))?", "a": "-7552*a**2" }, { "q": "Let g(x) = -14*x**2. Let q(f) be the first derivative of f**5/120 - f**3/3 - 6*f - 47. Let b(l) be the third derivative of q(l). What is b(g(u))?", "a": "-14*u**2" }, { "q": "Let z(h) = h. Let u(o) be the second derivative of -2*o**3/3 - 62*o**2 + 811*o. What is u(z(b))?", "a": "-4*b - 124" }, { "q": "Let v(k) = 2*k. Let d(z) be the third derivative of -61*z**4/3 + 837*z**2 - z. What is v(d(p))?", "a": "-976*p" }, { "q": "Let d(a) be the third derivative of a**4/6 - 42*a**2 + 15*a. Let o(f) = 3*f. Give o(d(x)).", "a": "12*x" }, { "q": "Let s(o) = o**2 + 30*o. Let g(f) = f**3 + 10*f**2 + 9*f - 4. Let u be g(-8). Let b(x) = -97*x + 46*x + u*x. Calculate b(s(k)).", "a": "k**2 + 30*k" }, { "q": "Let y(p) = 16*p**2 - 3*p - 3. Let n(u) = 112*u**2 - 22*u + 130 - 62 - 90. Let s(q) = 6*n(q) - 44*y(q). Let w(a) = -5*a**2. What is s(w(x))?", "a": "-800*x**4" }, { "q": "Let a(v) be the third derivative of -v**5/15 + 18*v**2. Suppose 5*s = -u + 21, -s + 4*s - 9 = 3*u. Let q(n) = 4 + 0 - s - n**2. What is a(q(i))?", "a": "-4*i**4" }, { "q": "Let a(v) be the first derivative of v**3/3 - 135*v + 1259. Let y(p) = -10*p**2. Calculate a(y(t)).", "a": "100*t**4 - 135" }, { "q": "Let g(r) = 2*r**2. Suppose 4*j - 11 - 11 = 2*k, -j - 3*k = 12. Suppose 4*y + 29 = 3*i + 3, 0 = -2*i + j*y + 19. Let q(f) = -4*f**i + 7 - 7. Determine g(q(x)).", "a": "32*x**4" }, { "q": "Let j(g) = -1590597*g**2. Let a(s) = -12*s**2. What is a(j(r))?", "a": "-30359985796908*r**4" }, { "q": "Let z(k) be the first derivative of 9*k**2 + 1411. Let v(o) = 44*o. Give v(z(c)).", "a": "792*c" }, { "q": "Let w(h) = 5169*h**2 - 3*h. Let i(t) = -282*t**2. Calculate w(i(v)).", "a": "411059556*v**4 + 846*v**2" }, { "q": "Let l(r) = 670*r**2. Let k(q) be the third derivative of q**5/15 + 7*q**2 + 69. What is k(l(x))?", "a": "1795600*x**4" }, { "q": "Let k(u) = 2*u. Suppose -59*w + 91 = -86. Let j(n) be the first derivative of -17 + 0*n**2 + 0*n + 28/3*n**w. What is j(k(q))?", "a": "112*q**2" }, { "q": "Let z(y) = 3*y - 2*y - y - 3*y. Let o(s) be the first derivative of 2/3*s**3 + 0*s**2 - 8 + 0*s. Give o(z(q)).", "a": "18*q**2" }, { "q": "Let q(y) = y**2. Let h(l) be the second derivative of -23*l**6/360 + 7*l**3/6 - l**2/2 + 2*l - 6. Let u(v) be the second derivative of h(v). Calculate q(u(k)).", "a": "529*k**4" }, { "q": "Let u(v) = 335*v**2 - 71*v**2 + 289*v**2 + 198*v**2. Let o(i) = -2*i. Calculate o(u(c)).", "a": "-1502*c**2" }, { "q": "Let n(s) = s**2. Let t(a) be the first derivative of -67 - 24*a**2 + 1826*a - 1826*a. What is n(t(w))?", "a": "2304*w**2" }, { "q": "Let u(o) = -621*o**2. Let x(l) = -12*l**2 - 61*l - 4. What is x(u(d))?", "a": "-4627692*d**4 + 37881*d**2 - 4" }, { "q": "Let t(i) = 2*i**2. Let o(u) be the third derivative of 0*u + 11/6*u**4 + 0*u**3 + 0 - 3*u**2. Give o(t(d)).", "a": "88*d**2" }, { "q": "Let u(f) = 2*f + 12. Let z(h) = -5806*h + 2906*h + 2904*h. What is z(u(l))?", "a": "8*l + 48" }, { "q": "Let n(f) = -14*f - 13. Let u(k) = 56 + 0*k**2 - 56 - 5*k**2 + 4*k**2. What is u(n(o))?", "a": "-196*o**2 - 364*o - 169" }, { "q": "Suppose -3*q = -5*x - 73, -q + 1 = -0*q + 3*x. Let t(r) = -7*r**2 + q*r**2 + 4 - 4. Let u(l) be the third derivative of -l**5/15 + 73*l**2 + 2*l. Give t(u(h)).", "a": "144*h**4" }, { "q": "Let m be 1997 - (-12)/((-4)/1). Let c = m + -1403. Let w(d) = -c - d + 591. Let b(u) = -14*u**2. Give b(w(f)).", "a": "-14*f**2" }, { "q": "Let l = -122 + 123. Let x(o) = 0 - 72*o + l + 27*o + 0. Let a(g) = g**2. Determine a(x(m)).", "a": "2025*m**2 - 90*m + 1" }, { "q": "Let n(i) be the first derivative of i**4/12 + 63*i - 7. Let f(b) be the first derivative of n(b). Let a(o) = -43*o. What is a(f(y))?", "a": "-43*y**2" }, { "q": "Let a(t) = t**2 - 130*t. Let h(w) = -25*w - 7. Let u(o) = 17*o + 5. Let k(n) = -5*h(n) - 7*u(n). What is a(k(q))?", "a": "36*q**2 - 780*q" }, { "q": "Let l(w) be the second derivative of -7*w**6/360 + w**4/6 - 9*w. Let c(y) be the third derivative of l(y). Let x(v) = 11*v - 4*v - 5*v. Determine c(x(a)).", "a": "-28*a" }, { "q": "Let w(b) = b**2. Let q = 3516 - 3514. Let g(p) be the third derivative of -5/24*p**4 + 0*p**3 + 11*p**q + 0 + 0*p. Determine w(g(j)).", "a": "25*j**2" }, { "q": "Let y(k) = 3*k**2. Let p = -50 + 53. Let q(d) = 10*d - p*d + 10*d + 17*d. Calculate q(y(x)).", "a": "102*x**2" }, { "q": "Let i(l) = 4*l**2. Let a(v) be the second derivative of 106*v**3/3 - 959*v + 2. Calculate a(i(g)).", "a": "848*g**2" }, { "q": "Let u(l) = -40509*l**2 - 168*l + 224. Let c(y) = 2132*y**2 + 9*y - 12. Let r(k) = -56*c(k) - 3*u(k). Let m(s) = -2*s**2. Determine r(m(z)).", "a": "8540*z**4" }, { "q": "Let f(n) = 16*n**2 - 27*n**2 + 12*n**2. Let g(s) = -68*s**2. Give f(g(d)).", "a": "4624*d**4" }, { "q": "Let i(n) = -n**2. Let p(k) = k**2 + 4*k - 78. Let a be p(-11). Let m(c) = 26*c**2 - 7*c. Let l(t) = t**2 - 2*t. Let r(u) = a*m(u) + 3*l(u). Calculate r(i(v)).", "a": "-23*v**4 - v**2" }, { "q": "Let w(a) = -95*a**2. Let z(k) = -14*k**2. Let h(s) = -3*w(s) + 20*z(s). Let o(b) = 12*b**2 - 9*b. Give o(h(t)).", "a": "300*t**4 - 45*t**2" }, { "q": "Let c(b) = 14*b**2 - 1 + 1 + 13*b**2 - 23*b**2. Let k(r) = -110*r**2. Calculate c(k(v)).", "a": "48400*v**4" }, { "q": "Let p(w) = -w - 12*w - 8*w. Let h(y) be the second derivative of y**4/6 - 3839*y. Determine p(h(a)).", "a": "-42*a**2" }, { "q": "Let k(f) = 2*f**2 + 0*f**2 - 3*f**2. Let q(z) = 82*z**2 + 3084*z - 3084*z - 163*z**2. Determine k(q(r)).", "a": "-6561*r**4" }, { "q": "Let l(x) = 4*x. Let o(v) = 24*v - 10. Let c(z) = 5*z - 2. Let w(d) = 5*c(d) - o(d). Let m(h) = -1 - 4*h + 1. Let b(y) = m(y) + 5*w(y). Calculate b(l(p)).", "a": "4*p" }, { "q": "Let y(c) = -c**2 + 949*c. Let k(o) be the third derivative of -o**4/24 + 2*o**2 - 7*o. Give k(y(p)).", "a": "p**2 - 949*p" }, { "q": "Let t(n) = 3*n**2 + 145*n - 112. Let m(q) = 3*q. Give t(m(u)).", "a": "27*u**2 + 435*u - 112" }, { "q": "Let r(c) be the first derivative of 29 + 0*c**2 + 0*c - 10/3*c**3. Let f(l) = -l. What is f(r(u))?", "a": "10*u**2" }, { "q": "Let o(v) = -2*v. Let g(b) = 1090 - 84*b - 1090. Let l(q) = 2479*q. Let p(m) = 148*g(m) + 5*l(m). Determine p(o(z)).", "a": "74*z" }, { "q": "Let f(t) = 2*t**2. Let z(h) = -9428292*h. Calculate z(f(u)).", "a": "-18856584*u**2" }, { "q": "Let g(h) = 5*h. Let a(k) be the first derivative of -124*k**3/3 - 238. Give g(a(w)).", "a": "-620*w**2" }, { "q": "Let t(n) = 205*n**2 - 10*n + 20. Let m(g) = -68*g**2 + 3*g - 6. Let l(q) = 10*m(q) + 3*t(q). Let v(i) = -2*i**2 + 208*i - 208*i. What is v(l(p))?", "a": "-8450*p**4" }, { "q": "Let y(x) = -5*x**2. Let u(n) = 42*n + 20. Let w(s) = -168*s - 73. Let h(q) = -22*u(q) - 6*w(q). Give y(h(k)).", "a": "-35280*k**2 + 1680*k - 20" }, { "q": "Let v(s) = 2*s**2. Let l(q) = 8*q**2 - q. Let m be l(-1). Let i(j) = m*j - 14 + 8 + 6. What is i(v(o))?", "a": "18*o**2" }, { "q": "Let g(j) = -127*j. Let m(a) be the first derivative of -a**2/2 + 536. Give m(g(r)).", "a": "127*r" }, { "q": "Let l(v) = -1524*v**2 + 11*v + 11. Let g(i) = -304*i**2 + 2*i + 2. Let p(x) = 11*g(x) - 2*l(x). Let s(b) = -6*b. What is s(p(z))?", "a": "1776*z**2" }, { "q": "Let q(r) = 13*r. Let k be 1/(-5) + 1719/45. Let f(y) = y - k + 17 + 21. What is q(f(v))?", "a": "13*v" }, { "q": "Let d(u) = -268*u - 2. Let s(c) = 2*c**2 - 18*c - 38. Determine s(d(x)).", "a": "143648*x**2 + 6968*x + 6" }, { "q": "Let q(c) = -27*c. Let w(x) be the first derivative of 7*x**2/2 - 39. Determine q(w(p)).", "a": "-189*p" }, { "q": "Let r(d) = -1155*d**2. Let b(p) = -p**2 - p + 1. Let l(z) = -6*z**2 - 7*z + 7. Let v(y) = 14*b(y) - 2*l(y). Determine v(r(n)).", "a": "-2668050*n**4" }, { "q": "Let w(l) be the third derivative of -l**4/3 - 17*l**2. Let d(u) = 123 - 61 - 62 + 2*u. Determine w(d(k)).", "a": "-16*k" }, { "q": "Let i(c) = 2185*c + 2. Let d(w) = -145*w**2 - 150*w**2 + 297*w**2. Calculate d(i(f)).", "a": "9548450*f**2 + 17480*f + 8" }, { "q": "Let n(s) be the third derivative of 0*s - 4*s**2 + 0 + 13/60*s**5 + 0*s**3 + 0*s**4. Let v(z) be the third derivative of z**5/20 - 3*z**2. Calculate v(n(d)).", "a": "507*d**4" }, { "q": "Let b(h) = h. Suppose 5*v + 7 + 19 = 3*a, 2*v = 3*a - 14. Suppose 0 = 2*t - i - a*i + 8, 3*i - 14 = -t. Let o(f) = 4 - 4 - 68*f**2 + 65*f**t. Determine b(o(j)).", "a": "-3*j**2" }, { "q": "Let r(d) = 10*d. Let o(h) be the third derivative of 3*h**5/10 - 1236*h**2. Calculate o(r(n)).", "a": "1800*n**2" }, { "q": "Let c(k) = -4642606*k**2. Let u(n) = -4*n**2. Determine u(c(t)).", "a": "-86215161884944*t**4" }, { "q": "Let y(z) = -43*z - 36. Let u(q) = -18*q - 15. Let o(l) = 12*u(l) - 5*y(l). Let n(t) = -3*t**2 - 23. Calculate n(o(c)).", "a": "-3*c**2 - 23" }, { "q": "Let m(h) = 11*h**2 - 1 - 10*h**2 + 1. Let i(r) be the second derivative of 0*r**2 + 0 + 0*r**3 - 5/6*r**4 + 8*r. Calculate m(i(w)).", "a": "100*w**4" }, { "q": "Let l(s) = -17417056*s. Let j(o) = -o**2. What is l(j(m))?", "a": "17417056*m**2" }, { "q": "Let d(w) be the third derivative of 31*w**5/60 + w**3/6 - 223*w**2. Let p(s) be the third derivative of s**5/30 - 2*s**2. Calculate d(p(j)).", "a": "124*j**4 + 1" }, { "q": "Let d(j) = 8*j**2. Let i(n) be the second derivative of -21*n**4 - n - 18. Determine i(d(a)).", "a": "-16128*a**4" }, { "q": "Let s(j) = -3 - 4*j + 3. Let o(y) be the second derivative of -y**4/6 - 3*y**2/2 + 21*y. Let a(l) = -3*l**2 - 4. Let w(p) = -3*a(p) + 4*o(p). Calculate s(w(t)).", "a": "-4*t**2" }, { "q": "Let c(g) be the third derivative of 0*g**3 + 0 - 1/20*g**5 - g**2 + 0*g**4 + 0*g. Let t(n) = -202*n - 199*n + 26 + 403*n - 26. Calculate c(t(z)).", "a": "-12*z**2" }, { "q": "Let p(g) = 59*g**2 + g - 6*g**2 + 0*g. Let i(l) = 14*l - 145. Let v(y) = 11*y - 116. Let o(d) = 4*i(d) - 5*v(d). What is p(o(t))?", "a": "53*t**2 + t" }, { "q": "Let q(u) = -2*u**2. Let y(a) = -37780*a. What is q(y(d))?", "a": "-2854656800*d**2" }, { "q": "Let t(f) = 28*f. Let w(o) = 14630*o. What is w(t(j))?", "a": "409640*j" }, { "q": "Let a(b) = 5*b. Let z(p) be the first derivative of 2*p**3/3 + 125*p + 549. What is a(z(r))?", "a": "10*r**2 + 625" }, { "q": "Let x(r) = -2 + 8 + r - 6. Let i(d) = -12*d**2 + 4*d + 4. Let z(m) = i(m) - 4*x(m). Let j(s) = -2*s. What is z(j(h))?", "a": "-48*h**2 + 4" }, { "q": "Let g(p) = -2*p. Let s(h) be the first derivative of -1135*h**2/2 + 191. Give s(g(y)).", "a": "2270*y" }, { "q": "Let s(b) be the second derivative of 0*b**3 + 1/6*b**4 + 77*b + 0 + 0*b**2. Let x(f) = -35*f**2. Give x(s(o)).", "a": "-140*o**4" }, { "q": "Let y(o) be the first derivative of o**6/30 + o**3 - 6*o**2 - 29. Let x(u) be the third derivative of y(u). Let c(g) = -g. Calculate c(x(q)).", "a": "-12*q**2" }, { "q": "Let n(d) = 2*d**2. Suppose 2*o = -16 + 114. Let x = -47 + o. Let a(r) = r**x - r**2 + r**2. Give n(a(k)).", "a": "2*k**4" }, { "q": "Let y(j) = -19921*j - 1. Let a(o) = 30*o + 1. Calculate a(y(v)).", "a": "-597630*v - 29" }, { "q": "Let u(n) be the third derivative of 7*n**5/120 - 5*n**3/2 + 4*n**2 - 9*n. Let x(k) be the first derivative of u(k). Let m(w) = 2*w. Calculate m(x(t)).", "a": "14*t" }, { "q": "Let i(q) = -5436753*q**2. Let g(n) = -2*n. Give g(i(p)).", "a": "10873506*p**2" }, { "q": "Let h(j) = -j - 1. Let z(v) = 40*v**2 - 168*v**2 + 45*v**2 + 41*v**2 + 36*v**2. Calculate z(h(b)).", "a": "-6*b**2 - 12*b - 6" }, { "q": "Let a(x) = -4*x**2. Let u(f) = -254*f**2 + 398*f**2 + 188*f**2. Determine a(u(m)).", "a": "-440896*m**4" }, { "q": "Let w(v) = -12*v**2 + 24*v - 8. Let o(u) = 4*u**2 - 9*u + 3. Let q(l) = 8*o(l) + 3*w(l). Let d(r) = 25*r. What is d(q(t))?", "a": "-100*t**2" }, { "q": "Let f(k) be the first derivative of 91*k**3/3 + 2*k - 1583. Let s(r) = -12*r**2. Give f(s(g)).", "a": "13104*g**4 + 2" }, { "q": "Let n(j) = 2*j**2. Let o(w) = -1. Let g = -8 - -7. Let v(t) = 2*t**2 - 647 + 656 - 5*t**2. Let r(l) = g*v(l) - 9*o(l). What is n(r(u))?", "a": "18*u**4" }, { "q": "Let j(a) be the first derivative of a**2/2 - 384. Let m(z) be the second derivative of -z**4/12 - 10*z. What is m(j(h))?", "a": "-h**2" }, { "q": "Let k(g) = -476*g + 1. Let x(d) = -193*d - 11. Give k(x(s)).", "a": "91868*s + 5237" }, { "q": "Let n(r) = -r. Let p(q) = 28431*q - 1. Calculate p(n(o)).", "a": "-28431*o - 1" }, { "q": "Let t = 6 - 4. Suppose 14 = t*r + 5*r. Let q(a) = -4*a - r*a + 0*a. Let w(s) = 2*s. What is w(q(b))?", "a": "-12*b" }, { "q": "Let u(j) = -114865*j. Let i(v) = -179*v. Calculate i(u(m)).", "a": "20560835*m" }, { "q": "Let i(k) = 8108*k. Let t(a) = 1104*a**2. What is t(i(n))?", "a": "72576589056*n**2" }, { "q": "Let s(k) = 11*k + 94. Let q be s(-5). Let p(j) = -3*j**2 - 39 - j**2 + q. Let v(z) = -13*z**2. What is p(v(w))?", "a": "-676*w**4" }, { "q": "Let h(w) = 21*w**2 + w - 12790. Let c(t) = -9*t. What is c(h(p))?", "a": "-189*p**2 - 9*p + 115110" }, { "q": "Let a = 177 + -155. Let v(y) = 22 - 13*y - a. Let k(j) = -7*j. What is k(v(c))?", "a": "91*c" }, { "q": "Let s(h) = -9*h**2. Let l(z) be the second derivative of 3*z + 0*z**2 + 5 + 5/2*z**3. What is l(s(p))?", "a": "-135*p**2" }, { "q": "Let u(y) = 2*y - 41845. Let w(k) = -2*k. What is w(u(g))?", "a": "-4*g + 83690" }, { "q": "Let j(m) = 36*m**2. Let l(p) = 221416*p + 1. What is l(j(s))?", "a": "7970976*s**2 + 1" }, { "q": "Let w(m) = 12*m - 197 + 391 - 189. Let y(j) = -84*j - 36. Let o(t) = 36*w(t) + 5*y(t). Let l(n) = 5*n**2. What is o(l(a))?", "a": "60*a**2" }, { "q": "Let o(u) = 3*u. Let m be (6/(-27))/((-8)/(-9) - 1). Let r(c) = 15*c**m - 26*c**2 - 3*c**2 - 7*c**2. What is r(o(v))?", "a": "-189*v**2" }, { "q": "Let g(v) = -6*v + 5. Let l(f) = 1273*f**2 + 26*f. What is l(g(m))?", "a": "45828*m**2 - 76536*m + 31955" }, { "q": "Let m(r) = 2*r**2. Let a(w) = -6*w**2 - 14*w - 60. Let z(n) = -n - 6. Let f(h) = -a(h) + 10*z(h). Calculate f(m(p)).", "a": "24*p**4 + 8*p**2" }, { "q": "Let c(j) = -j**2 + 2*j + 2. Let u be c(2). Let m(w) = 3*w**u - 6*w**2 + 14*w**2. Let d(x) = -4*x**2. What is d(m(a))?", "a": "-484*a**4" }, { "q": "Let n(o) = -o. Let m be 44/(-110) - (-2)/(10/27). Suppose -4*t - t + 31 = 3*r, -4*t + 30 = 5*r. Let c(g) = -4*g + m*g + r*g**2 - g. What is c(n(k))?", "a": "2*k**2" }, { "q": "Let k(n) = 25*n**2 + n**2 - 21*n**2. Let m be (-5 + 10)*(-6)/(-10). Let u(b) = 5*b - m*b - b + 7*b. Give k(u(h)).", "a": "320*h**2" }, { "q": "Let h(x) = -10*x**2 - 2*x - 4. Let p(k) = -545*k + 1. What is p(h(j))?", "a": "5450*j**2 + 1090*j + 2181" }, { "q": "Let r(n) = 2*n. Let j(p) = 2838089*p. Give r(j(k)).", "a": "5676178*k" }, { "q": "Let t(i) = i**2. Let f(p) = -599*p - 1305*p - 622*p + 787*p - 822*p. Calculate t(f(x)).", "a": "6558721*x**2" }, { "q": "Let q(b) = -95006*b**2. Let g(a) = 169*a. What is q(g(f))?", "a": "-2713466366*f**2" }, { "q": "Let c(z) = 17*z. Suppose -3*b + 3*g = -126, -4*g + 7 + 167 = 5*b. Let f = b + -35. Let p(k) = -2*k - 3*k + f*k. Determine p(c(s)).", "a": "-34*s" }, { "q": "Let y(r) = -r + r - 5*r**2 + 6*r**2. Let u(p) = 32*p - 8. Let d(n) = -511*n + 126. Let z(g) = 4*d(g) + 63*u(g). Determine y(z(x)).", "a": "784*x**2" }, { "q": "Let k(d) = -3*d**2 + 3*d**2 + 2*d**2 + 0*d**2. Let f(l) be the third derivative of -1/20*l**5 + 22*l**2 + 0 + 0*l**3 + 0*l**4 + 0*l. Give f(k(m)).", "a": "-12*m**4" }, { "q": "Let g(x) = x**2. Let h be (-5 + 3)/2 - -2. Suppose -2*v = h - 5. Let j(y) = 4*y**2 + 9*y**v + y**2. Determine g(j(z)).", "a": "196*z**4" }, { "q": "Let j(h) = -16787295*h. Let l(i) = i. Calculate j(l(v)).", "a": "-16787295*v" }, { "q": "Let a(z) = -107*z**2. Let p(h) = -30383*h**2. Give p(a(i)).", "a": "-347854967*i**4" }, { "q": "Let s(k) = -144*k**2 + 261*k**2 - 3*k - 122*k**2 + 6*k. Let w(r) = -r**2. What is s(w(t))?", "a": "-5*t**4 - 3*t**2" }, { "q": "Let k(v) be the first derivative of -49*v**3/3 - v - 731. Let p(g) = 18*g**2. Determine p(k(b)).", "a": "43218*b**4 + 1764*b**2 + 18" }, { "q": "Let w(d) = -2193*d**2. Let h(q) be the third derivative of q**5/60 - 11*q**2 + 20*q. What is w(h(p))?", "a": "-2193*p**4" }, { "q": "Let m(b) = 3*b. Let a be 708/20 + (-2)/5. Let v = 141 + -106. Let j(u) = a + 2*u - v. Determine m(j(q)).", "a": "6*q" }, { "q": "Let b(v) = -52*v + 5. Let i(k) = 5*k - 1. Let l(w) = b(w) + 5*i(w). Let f(d) = -13*d**2. What is l(f(x))?", "a": "351*x**2" }, { "q": "Let n(f) = -4*f**2 - 1. Let x(t) = 113*t**2 - 297*t**2 + 196*t**2. Determine n(x(j)).", "a": "-576*j**4 - 1" }, { "q": "Let p(q) = -q**2 + 115*q. Let w(x) = -71817*x. Determine w(p(j)).", "a": "71817*j**2 - 8258955*j" }, { "q": "Let b(q) = -11*q**2. Let z(c) = 4*c**2 - 25*c + 20. Let h be z(10). Let t(a) = 170 + 2*a**2 - h. What is b(t(w))?", "a": "-44*w**4" }, { "q": "Let k(c) be the first derivative of -13*c**3 - 553. Let h(p) = p. Calculate h(k(r)).", "a": "-39*r**2" }, { "q": "Let p(f) = 6*f + 4. Let z(x) = -x - 1. Let q(o) = p(o) + 4*z(o). Suppose 3*r - 9 = 0, 5*g + 0*r - 1 = 3*r. Let j(h) = 6*h - g*h - 6*h - 2*h. Give q(j(d)).", "a": "-8*d" }, { "q": "Let l(m) be the first derivative of 17*m**3/3 + 4364. Let q(s) = -s. Let x(w) = 4*w**2 - 3*w. Let u(t) = 3*q(t) - x(t). Calculate l(u(g)).", "a": "272*g**4" }, { "q": "Let i(q) be the second derivative of -q**4/6 + q. Let x(h) be the third derivative of 49*h**5/30 - 2356*h**2. Calculate x(i(z)).", "a": "392*z**4" }, { "q": "Let a(s) be the third derivative of -s**4/24 + 35*s**3/3 - 427*s**2. Let y(c) = c**2. Calculate a(y(h)).", "a": "-h**2 + 70" }, { "q": "Let y(x) = 108264*x. Let b(m) = 47*m. Give y(b(a)).", "a": "5088408*a" }, { "q": "Let q(m) = -2*m**2. Suppose -6*y - 131 + 485 = 0. Let z(s) = 2*s**2 + 10*s - 6. Let h be z(-8). Let o(w) = -27*w - h*w + y*w. Give q(o(j)).", "a": "-200*j**2" }, { "q": "Let o(b) = -4*b + 46. Let p(y) = 6*y - 49. Let q(t) = -5*o(t) - 4*p(t). Let z(h) = h**2. Calculate z(q(k)).", "a": "16*k**2 + 272*k + 1156" }, { "q": "Let m(h) = -h. Let l = 7 + -4. Let u(x) be the first derivative of 2*x**l - 13*x**2 + 4*x**2 + 11 + 9*x**2. What is m(u(b))?", "a": "-6*b**2" }, { "q": "Let a(l) = -42*l**2. Let c(m) be the first derivative of -m**5/60 + 3*m**3 + m + 63. Let x(o) be the third derivative of c(o). Give a(x(y)).", "a": "-168*y**2" }, { "q": "Let d(j) = 2*j**2. Suppose 3*y - 2*y - 110 = 0. Let c(f) = -110 - 2*f + y. Calculate d(c(l)).", "a": "8*l**2" }, { "q": "Let u(h) be the second derivative of 5*h**3/2 - 3*h**2/2 - 17*h + 1. Let o(n) = -28*n + 6. Let i(f) = -6*o(f) - 11*u(f). Let b(p) = -p**2. Calculate b(i(z)).", "a": "-9*z**2 + 18*z - 9" }, { "q": "Let f(w) = -13*w - 9*w - 7*w + 13*w. Let u(t) = -84*t**2. Determine u(f(j)).", "a": "-21504*j**2" }, { "q": "Let t(b) = -5*b**2 + 8*b - 8. Let m(a) = -3*a**2 + 5*a - 5. Let h be (10/6)/(((-16)/12)/4). Let o(v) = h*t(v) + 8*m(v). Let s(k) = -76*k. What is o(s(u))?", "a": "5776*u**2" }, { "q": "Let d(s) = 12*s**2 - 3. Let z(p) = -36*p**2 + 8. Suppose -5*g = 4*i - 7, 15 = 2*g - 5*g. Let v(x) = i*d(x) + 3*z(x). Let q(u) = 3*u**2. Determine v(q(r)).", "a": "-108*r**4" }, { "q": "Let i(x) be the second derivative of x**4/4 + 32*x. Let k(p) = 2*p + 1 + 5*p + 5*p - 11*p. Calculate k(i(q)).", "a": "3*q**2 + 1" }, { "q": "Let v(y) be the second derivative of -y**5/15 - 43*y**2/2 - 52*y. Let m(a) be the first derivative of v(a). Let z(o) = -16*o**2. Calculate z(m(s)).", "a": "-256*s**4" }, { "q": "Let c(n) = 88*n**2 - 2*n - 2. Let l(y) = 1172*y. Calculate c(l(x)).", "a": "120875392*x**2 - 2344*x - 2" }, { "q": "Let s(f) = -63120*f**2. Let q(z) = 10*z + 16. Give q(s(b)).", "a": "-631200*b**2 + 16" }, { "q": "Let u(v) be the third derivative of -91*v**5/60 - v**2 + 181. Let g(p) = 3*p. Calculate g(u(n)).", "a": "-273*n**2" }, { "q": "Let s(l) = 3*l**2. Let i(z) = z - 8. Let k be i(9). Let o(n) = 124*n - 113*n + 0 + k. Calculate o(s(m)).", "a": "33*m**2 + 1" }, { "q": "Let a(b) = 5*b**2. Let g be 110/(-88) + 1/4 - -3. Let k(t) = 17*t**2 + 0 - 41*t**g + 0. Give k(a(r)).", "a": "-600*r**4" }, { "q": "Let o(b) be the second derivative of -17*b**4 + 36*b + 34*b**4 - 16*b**4. Let l(d) be the first derivative of -d**2 + 1. Determine l(o(f)).", "a": "-24*f**2" }, { "q": "Let p(q) be the third derivative of 0*q**3 + 0*q**4 + 0 + 0*q + 1/60*q**5 + 58*q**2. Let k(d) be the third derivative of -23*d**4/24 + d**2. Determine p(k(o)).", "a": "529*o**2" }, { "q": "Let o(j) be the second derivative of -j**4/2 - 17*j**2/2 + 50*j. Let p(x) be the first derivative of o(x). Let d(t) = 5*t. What is p(d(g))?", "a": "-60*g" }, { "q": "Let s(i) = 17*i + 37 + 48*i - 68*i + 8. Let b(l) = -3*l**2. Calculate s(b(x)).", "a": "9*x**2 + 45" }, { "q": "Let s(z) = -13*z. Suppose 3*l + 3 = 4*l. Suppose -40 = l*r + 11. Let i(n) = 20*n**2 + 17*n. Let m(k) = 7*k**2 + 6*k. Let x(h) = r*m(h) + 6*i(h). Give x(s(w)).", "a": "169*w**2" }, { "q": "Let y(q) = 4956*q. Let i(h) = -491*h - 2. Determine y(i(o)).", "a": "-2433396*o - 9912" }, { "q": "Let p(q) = 2*q. Let m = 57 - 49. Suppose -m*t + 21 = -7*t. Let s(c) = -t*c - 265 + 265. Calculate p(s(o)).", "a": "-42*o" }, { "q": "Let r(m) be the first derivative of 4*m**2 + 711. Let b(k) = 30*k**2. Give b(r(o)).", "a": "1920*o**2" }, { "q": "Let i(z) be the second derivative of z**4/12 - 43*z**2/2 + 2*z + 17. Let o(f) be the first derivative of i(f). Let n(y) = 17*y**2. What is n(o(d))?", "a": "68*d**2" }, { "q": "Let a(r) be the first derivative of 119*r**2/2 + 6*r - 511. Let y(o) = 2*o. Give a(y(n)).", "a": "238*n + 6" }, { "q": "Let n(w) be the third derivative of 119*w**5/30 - 4*w**2 + 17*w. Let j(q) = 4*q. Determine n(j(v)).", "a": "3808*v**2" }, { "q": "Let o(x) = 95*x + 237*x - 575*x + 124*x. Let j(m) = m**2 + 4*m**2 - 4*m**2. Give j(o(k)).", "a": "14161*k**2" }, { "q": "Let q(b) be the third derivative of -2*b**2 + 0*b**3 + 2*b + 0 - 1/4*b**4. Let j(p) = -3*p. What is j(q(k))?", "a": "18*k" }, { "q": "Let x(f) = f. Let b(j) = -67*j**2 + 264*j. Give x(b(g)).", "a": "-67*g**2 + 264*g" }, { "q": "Let l(w) = -4*w. Let z(v) = -1544092*v**2. What is l(z(c))?", "a": "6176368*c**2" }, { "q": "Let b(o) be the first derivative of -2*o**3/3 - 3*o - 1. Let z(y) be the third derivative of y**4/24 + 2206*y**2. What is z(b(r))?", "a": "-2*r**2 - 3" }, { "q": "Let y(t) = 3*t**2 + 51868*t - 51868*t. Let a(z) be the third derivative of 0 + 0*z - 5/24*z**4 - z**2 + 0*z**3. What is a(y(i))?", "a": "-15*i**2" }, { "q": "Suppose 0 = -x - 4*p + 7, -p - 15 + 4 = -4*x. Let h(f) be the first derivative of 0*f + 8/3*f**x - 3 + 0*f**2. Let j(a) = 4*a**2. Calculate h(j(z)).", "a": "128*z**4" }, { "q": "Let f = -35 + 41. Let k(o) = -8*o**2 - 7*o - 7. Let i(l) = -7*l**2 - 6*l - 6. Let d(y) = f*k(y) - 7*i(y). Let u(m) = 21*m**2. Give u(d(z)).", "a": "21*z**4" }, { "q": "Let l(q) = -63 + q + 127 - 64 + q. Let b(i) = -1717*i. What is l(b(j))?", "a": "-3434*j" }, { "q": "Let m(v) = 28*v - 10. Let t(n) = -14*n + 8. Let k(z) = -4*m(z) - 5*t(z). Let r(b) = 9*b**2. Give r(k(d)).", "a": "15876*d**2" }, { "q": "Let k be 5 + 2 + 1 + 1. Suppose -65 = -k*b + 286. Let l(v) = 1053*v - 1053*v + b*v**2. Let z(a) = -a**2. Give l(z(y)).", "a": "39*y**4" }, { "q": "Suppose -q + 2*o = 4*q - 323, -4 = -4*o. Let h(s) = q*s**2 - 35*s**2 - 37*s**2. Let i(t) = 10*t. What is i(h(x))?", "a": "-70*x**2" }, { "q": "Let a(f) = 5*f**2. Let v(l) = l**3 - l**2 + 2*l + 2. Let w be v(0). Suppose 0*s = -s + 5. Let d(j) = s - w + j - 3. Calculate d(a(u)).", "a": "5*u**2" }, { "q": "Let p(t) = 16*t**2 + 10*t. Let l(d) = -2*d**2 + 2*d. Let w(k) = 3*l(k) + p(k). Let f(n) = 2*n**2. Determine f(w(j)).", "a": "200*j**4 + 640*j**3 + 512*j**2" }, { "q": "Let q(t) = 345796*t**2 + 1624*t + 8932. Let i(x) = 1276*x**2 + 6*x + 33. Let k(v) = 812*i(v) - 3*q(v). Let n(h) = -h**2. Determine n(k(a)).", "a": "-1628176*a**4" }, { "q": "Let o(x) = -x - 2. Let a(r) = 2*r + 5. Let u be -17*5/(-10) - 6/(-4). Let i(m) = u*o(m) + 4*a(m). Let l(s) = 3*s**2 - 6*s**2 + s**2 - 5*s**2. What is l(i(g))?", "a": "-28*g**2" }, { "q": "Let l(x) be the first derivative of x**4/24 + 17*x**2 - 49. Let o(b) be the second derivative of l(b). Let q(h) = -103*h. Calculate o(q(n)).", "a": "-103*n" }, { "q": "Let o(s) = 22*s + 24. Let q(m) = 89*m + 88. Let x(u) = -22*o(u) + 6*q(u). Let a(t) = 4*t. Give x(a(y)).", "a": "200*y" }, { "q": "Let d(g) = 31*g**2. Let l(m) = 219895*m**2. What is d(l(t))?", "a": "1498968141775*t**4" }, { "q": "Let k(d) = -1209*d**2. Let f(b) = 23*b**2 - 3*b + 12. What is f(k(j))?", "a": "33618663*j**4 + 3627*j**2 + 12" }, { "q": "Let y(l) = 50*l + 8. Let k(x) = 62*x + 10. Let c(n) = -4*k(n) + 5*y(n). Let u(j) = 1123*j**2. What is u(c(f))?", "a": "4492*f**2" }, { "q": "Let s(i) = 23771*i - 11881*i - 11885*i. Let k(q) = 237*q. Determine k(s(j)).", "a": "1185*j" }, { "q": "Suppose 0 = -k + 1 - 86. Let w be 6/(-5)*k/51. Let d(p) = 7*p**2 - 5*p. Let v(h) = 3*h**2 - 2*h. Let r(i) = w*d(i) - 5*v(i). Let b(o) = 4*o**2. Give r(b(t)).", "a": "-16*t**4" }, { "q": "Let g(d) = d**2. Let q(w) = 27*w - 9. Suppose 0 = 4*b - 2 + 2. Let l(f) = -2*f - 2 + b*f - 6*f + 15*f. Let h(s) = 9*l(s) - 2*q(s). Determine g(h(z)).", "a": "81*z**2" }, { "q": "Let f(d) = 2*d - 1461. Let g(m) = 2*m + 5357. Give f(g(j)).", "a": "4*j + 9253" }, { "q": "Let f(m) = 2*m**2 - 6. Let g(l) be the second derivative of 5*l**3/3 + 25*l. What is g(f(t))?", "a": "20*t**2 - 60" }, { "q": "Let d(i) = 13*i**2 - 3*i. Let f(u) be the second derivative of -u**3/6 - u - 422. Give d(f(m)).", "a": "13*m**2 + 3*m" }, { "q": "Let x(a) = 284*a. Let c(l) = -84*l - 36. What is c(x(z))?", "a": "-23856*z - 36" }, { "q": "Let p(g) = -5*g. Let u(a) = 9*a**3 - a**2 - a + 2. Let o be u(1). Suppose s + l - 3 = -s, 4*s = -3*l + o. Let d(i) = s*i - 5*i + 3*i + 3*i. Determine d(p(k)).", "a": "-5*k" }, { "q": "Let y(z) = 22*z. Let v(x) = -542573*x**2. Give y(v(h)).", "a": "-11936606*h**2" }, { "q": "Let l(v) = 3*v - 3. Suppose -k = s - 3, 4 + 0 = k. Let i(a) = 2*a**2 - a + 1. Let y(m) = s*l(m) - 3*i(m). Let c(p) = 11*p**2. What is y(c(z))?", "a": "-726*z**4" }, { "q": "Let w(m) be the second derivative of -19*m**5/60 - 95*m**2/2 + 30*m. Let u(b) be the first derivative of w(b). Let d(n) = -3*n + 0*n + n. Calculate u(d(y)).", "a": "-76*y**2" }, { "q": "Let z(b) = -4*b**2 - 220*b. Let v(a) = -4748*a. Determine z(v(y)).", "a": "-90174016*y**2 + 1044560*y" }, { "q": "Let b(z) be the second derivative of -13*z + 28*z + 0*z**4 + z**4. Let x(o) = -2*o**2 - 3. Let g(r) = 2*r**2 + 4. Let a(h) = 3*g(h) + 4*x(h). Calculate b(a(p)).", "a": "48*p**4" }, { "q": "Let c(a) be the first derivative of a**3/3 - 1. Let o(v) be the third derivative of v**5/5 - 7*v**2 + 2*v. Give o(c(m)).", "a": "12*m**4" }, { "q": "Let p(h) = -2*h**2. Let l(q) = -524*q + 40. Let y(u) = -75*u + 6. Let k(x) = 6*l(x) - 40*y(x). Determine k(p(v)).", "a": "288*v**2" }, { "q": "Let d(a) = 5*a. Let z(m) = -79*m + 2821. Determine z(d(f)).", "a": "-395*f + 2821" }, { "q": "Let h(v) = -75*v**2. Let u(a) be the third derivative of 2*a**5/5 + 2*a**2 - 273*a. Determine h(u(g)).", "a": "-43200*g**4" }, { "q": "Let f(j) = 57*j - 1. Let k(y) = 1425*y. Determine k(f(z)).", "a": "81225*z - 1425" }, { "q": "Let o(m) = -148*m - 142*m + 301*m. Let v(r) = -2*r**2 - r - r**2 + r. Calculate o(v(h)).", "a": "-33*h**2" }, { "q": "Let b(n) = 193*n**2 + 2. Let w(v) = 118 - 4*v - 261 + v + 143. Give b(w(x)).", "a": "1737*x**2 + 2" }, { "q": "Let r(k) = -50988*k. Let x(w) = 7*w + 5. Give x(r(f)).", "a": "-356916*f + 5" }, { "q": "Let u(s) = -49*s - 27*s + 116*s. Let m(r) = 3*r**2 + 2*r. What is m(u(y))?", "a": "4800*y**2 + 80*y" }, { "q": "Let p(z) = z**2. Let l(s) = -s - 313013. Give p(l(j)).", "a": "j**2 + 626026*j + 97977138169" }, { "q": "Let c(d) be the second derivative of 2*d**4/3 + 1050*d. Let a(w) = -183*w**2. Determine c(a(n)).", "a": "267912*n**4" }, { "q": "Let h(i) = 11*i**2 - 41*i - 2*i**2 - 2*i**2 - 7*i**2 - 14*i**2. Let j(y) = -y. Calculate h(j(n)).", "a": "-14*n**2 + 41*n" }, { "q": "Let n(u) = 8*u. Let v(w) = -23*w - 23*w + 86*w - 21*w - 16*w - w**2. Determine v(n(h)).", "a": "-64*h**2 + 24*h" }, { "q": "Suppose 5*y - o = -6663, -2*o = -3*y - 7*o - 3981. Let t = 276 - y. Let f(a) = 1608*a - a**2 - t*a. Let q(z) = 6*z**2. Calculate f(q(w)).", "a": "-36*w**4" }, { "q": "Let y(f) = 3*f. Let z(t) = -9541*t**2 + 5452. Let n(p) = 3*p**2 - 2. Let j(u) = -2726*n(u) - z(u). Give y(j(l)).", "a": "4089*l**2" }, { "q": "Let f = 21 + -15. Let p(g) = 4*g**2. Let s(u) = -23*u**2. Suppose -186*q + 34 = -185*q. Let x(h) = f*s(h) + q*p(h). Let k(z) = 17*z**2. What is k(x(y))?", "a": "68*y**4" }, { "q": "Let c(q) = q**2 - 2*q - 8. Let n be c(-9). Let j be n/39 + 2/(-6). Let i(t) = -4*t + 4*t + 0*t + 2*t**j. Let w(a) = a**2. Give i(w(u)).", "a": "2*u**4" }, { "q": "Let p(l) = 422*l + 1. Let w(a) = -6104*a. What is p(w(s))?", "a": "-2575888*s + 1" }, { "q": "Let u = 27 - 21. Suppose -u = -4*t + t. Let n(y) = 1 - 6 + 5 + 3*y**t. Let v(m) = -2*m. Give v(n(s)).", "a": "-6*s**2" }, { "q": "Let j(y) = 31*y. Let s(n) = -5*n + 95. Let c(z) = 2*z - 30. Let b(t) = 19*c(t) + 6*s(t). What is j(b(l))?", "a": "248*l" }, { "q": "Let d(o) = 2*o. Let q(a) = 3*a**2 + 5*a + 6. Let y(g) = 8*g**2 + 7*g + 14. Let w(b) = -7*q(b) + 3*y(b). Determine d(w(p)).", "a": "6*p**2 - 28*p" }, { "q": "Let x(c) = -5*c + 10. Let f(z) = -z + 1. Let s(y) = 2*f(y) - x(y). Let a be s(9). Let m(l) = -43*l + 24*l - l**2 + a*l. Let n(k) = -3*k. Calculate n(m(h)).", "a": "3*h**2" }, { "q": "Let t(d) = 4*d. Suppose 5*y - 82 = 483. Let w = 175 - y. Let a(i) = -55*i - w*i + 124*i. Calculate a(t(v)).", "a": "28*v" }, { "q": "Let a(u) be the first derivative of 33*u**2/2 + 1590. Let n(t) = 7*t**2. What is n(a(v))?", "a": "7623*v**2" }, { "q": "Let i(g) = g. Let d(b) be the first derivative of 321*b**3 + 296. What is i(d(o))?", "a": "963*o**2" }, { "q": "Let g(k) = -27 + 2*k + 27. Let m(w) = 4*w - 3. Let c(p) = p**2 - 11*p + 16. Let q be c(2). Let l(j) = 3*j - 2. Let o(a) = q*m(a) + 3*l(a). What is o(g(n))?", "a": "2*n" }, { "q": "Let w(c) be the third derivative of c**4/8 + 2*c**2. Let h(b) = 1462 + 1464 + 1465 - 4391 + 48*b. Determine w(h(l)).", "a": "144*l" }, { "q": "Let l(t) = -13*t**2. Let v(x) be the third derivative of 0*x + 0 + 0*x**3 + 72*x**2 + 3/8*x**4. Determine v(l(q)).", "a": "-117*q**2" }, { "q": "Let u(t) = -285*t**2. Let c(i) = 55154*i**2. Give u(c(k)).", "a": "-866959659060*k**4" }, { "q": "Let x(l) = 42*l - 14. Suppose -2*w = -10*h + 8*h, -2*w = -3*h + 2. Let f(c) = c + 1. Let u(k) = w*x(k) + 28*f(k). Let r(g) = -g. Give u(r(d)).", "a": "-112*d" }, { "q": "Let j(p) = 1426*p. Let a(q) = -32*q - 12. Let f(l) = -69*l - 26. Let g(v) = 13*a(v) - 6*f(v). What is j(g(h))?", "a": "-2852*h" }, { "q": "Let r(o) = -7103*o. Let y(z) = -1749*z**2. Give r(y(k)).", "a": "12423147*k**2" }, { "q": "Suppose -7*q = -3*q - 20. Suppose -2*z + 14 = z - i, q*i = -5*z - 10. Let c(k) = 2*k - 2*k + k + z*k. Let y(j) = 2*j**2. Determine c(y(l)).", "a": "8*l**2" }, { "q": "Let a(n) be the first derivative of -n**2/2 - 1147. Let j(y) = 1704*y**2. Give a(j(o)).", "a": "-1704*o**2" }, { "q": "Let o(q) = -q**2 + 4*q - 30. Let c(w) = 3*w - 30. Let v(u) = -4*c(u) + 3*o(u). Let f(k) be the first derivative of v(k). Let i(y) = -16*y**2. Determine f(i(x)).", "a": "96*x**2" }, { "q": "Let t(x) be the first derivative of -74*x**2 + 1390. Let r(a) = 4*a. Give t(r(o)).", "a": "-592*o" }, { "q": "Let j(k) = 15*k - 1 + 4*k + 8*k - 27*k + 31*k**2. Let n(s) = -2*s**2. Give n(j(i)).", "a": "-1922*i**4 + 124*i**2 - 2" }, { "q": "Let n(y) = -y**2 + 10*y - 11026. Let d(k) = -27*k. Give d(n(q)).", "a": "27*q**2 - 270*q + 297702" }, { "q": "Let r(a) = 13*a. Let f(v) = v**3 + 29*v**2 - 32*v - 58. Let c be f(-30). Let x(s) = -54 + 54 - 2*s**2 + 3*s**c. Give x(r(j)).", "a": "169*j**2" }, { "q": "Let i(q) = 3*q - 9. Let f(a) = 3*a - 10. Let y(r) be the second derivative of r**3/3 - 3*r**2 - 29*r. Let x(d) = -3*f(d) + 5*y(d). Calculate i(x(n)).", "a": "3*n - 9" }, { "q": "Let s(f) = -4*f**2. Suppose 6*p - 39 = 3. Let a(w) = 4*w**2 + 22*w**2 + p*w**2. Give a(s(n)).", "a": "528*n**4" }, { "q": "Let n(a) = 16898328*a. Let o(t) = 2*t. Give o(n(k)).", "a": "33796656*k" }, { "q": "Let o(h) = -3*h**2 + 32. Let y(q) = 93*q**2 + 44*q. Calculate y(o(t)).", "a": "837*t**4 - 17988*t**2 + 96640" }, { "q": "Let y(k) = 74*k**2 + 59*k - 2. Let l(c) = 6*c. Determine l(y(p)).", "a": "444*p**2 + 354*p - 12" }, { "q": "Let h(s) = s**2 + 84. Let x(m) = 44371*m**2. Give h(x(w)).", "a": "1968785641*w**4 + 84" }, { "q": "Let j(p) = 17*p**2. Let n(q) = 250976*q. Calculate n(j(r)).", "a": "4266592*r**2" }, { "q": "Let j(i) = 84*i - 185*i + 103*i. Let r(t) = t**2 + 461. Determine j(r(w)).", "a": "2*w**2 + 922" }, { "q": "Let j(y) = 2444*y**2 + 5*y. Let i(q) = -39*q - 2. Give j(i(v)).", "a": "3717324*v**2 + 381069*v + 9766" }, { "q": "Let p(h) = -h**2. Let s(i) = -19*i**2 - 638. Determine s(p(j)).", "a": "-19*j**4 - 638" }, { "q": "Let d(c) = 1090745*c**2. Let z(i) = 6*i**2. Calculate d(z(s)).", "a": "39266820*s**4" }, { "q": "Suppose -5*p = 4*j - 3, 4*p - 3*j + 3 = -8*j. Suppose -4*z - 2 = 2*b - 22, b = -z + 6. Let l(f) = 3 - p + 4*f**2 - b*f**2. Let d(n) = -19*n**2. What is d(l(m))?", "a": "-76*m**4" }, { "q": "Let l(r) be the second derivative of r**3/6 + 30*r + 3. Let f(s) = -124*s + 9. Give l(f(h)).", "a": "-124*h + 9" }, { "q": "Let a(w) = 2*w. Let y(v) be the third derivative of 0 - 4*v + 2*v**2 - 121/60*v**5 + 0*v**4 + 0*v**3. Determine y(a(d)).", "a": "-484*d**2" }, { "q": "Let c(r) = -4*r + 795 - 795. Let s(n) = -111*n**2. Give c(s(y)).", "a": "444*y**2" }, { "q": "Let n be 4 + (1 - 0) + -2. Suppose 0 = 5*o - 10, 0*c + n*c = -o + 23. Let h(l) = -7 - l + c. Let g(i) = 3*i. What is h(g(y))?", "a": "-3*y" }, { "q": "Let w(m) = m**2. Let f(r) be the first derivative of -r**5/120 - 3*r**4/4 + 4*r**3/3 + 6*r + 65. Let t(b) be the third derivative of f(b). What is w(t(y))?", "a": "y**2 + 36*y + 324" }, { "q": "Let q(k) = 4336960*k. Let h(d) = 3*d**2. Determine q(h(z)).", "a": "13010880*z**2" }, { "q": "Let l(q) = 3*q. Let g(r) = r**2 + 1. Let v(z) = -z**3 - 4*z**2 + 53. Let u(s) = -4*g(s) - v(s). Let n(c) be the first derivative of u(c). Calculate n(l(k)).", "a": "27*k**2" }, { "q": "Let b(c) = 30*c. Let s(p) = -47*p + 3. Let a(v) = -32*v + 2. Let g(z) = -3*a(z) + 2*s(z). Calculate b(g(o)).", "a": "60*o" }, { "q": "Let q(l) = 109656*l. Let b(f) = -103*f**2 - 2. What is b(q(u))?", "a": "-1238517148608*u**2 - 2" }, { "q": "Let l(x) be the first derivative of -2/3*x**3 + 0*x - 4 + 0*x**2. Let k(a) = 2*a**2 + 9*a**2 - a**2 + a**2 + a**2. Calculate k(l(w)).", "a": "48*w**4" }, { "q": "Suppose -10*k + 2990 = 3*k. Let s(x) = -k + 230 - 2*x. Let i(a) = 8*a. Calculate i(s(d)).", "a": "-16*d" }, { "q": "Let k(r) = 410*r**2 - 548. Let c(l) = -3*l. Determine k(c(f)).", "a": "3690*f**2 - 548" }, { "q": "Let b(z) = -7*z**2. Let k(d) = -32997*d + 5. Determine k(b(r)).", "a": "230979*r**2 + 5" }, { "q": "Let a(t) = 4*t**2. Let q(l) = -4276357*l. Calculate q(a(z)).", "a": "-17105428*z**2" }, { "q": "Let b(v) be the first derivative of -v**3/6 - 8*v + 32. Let y(t) be the first derivative of b(t). Let f(i) = -22*i + 5*i - 15*i + 4*i. Calculate y(f(x)).", "a": "28*x" }, { "q": "Let t(w) = 37*w - 5. Let b(j) = 239*j + 0 - 48 + 113*j. Let l be ((-2)/(-4))/((-37)/370). Let v(p) = l*b(p) + 48*t(p). Let y(g) = -g. Calculate v(y(n)).", "a": "-16*n" }, { "q": "Let l(r) = 7*r**2. Let z(c) = -2*c - 6. Let q = 167 - 163. Let u(g) = -9*g - 33. Let f(d) = q*u(d) - 22*z(d). Determine l(f(o)).", "a": "448*o**2" }, { "q": "Let i(u) be the second derivative of 1/3*u**3 + 0*u**2 + 30*u - 2. Let t(b) = 39*b**2. Determine i(t(z)).", "a": "78*z**2" }, { "q": "Let q(n) = -2*n + 22. Let s(r) be the third derivative of -3*r**4/8 - 111*r**2 - 2. Calculate q(s(f)).", "a": "18*f + 22" }, { "q": "Let r(h) = 967*h**2. Let i(a) = a**2 + a - 420. Give i(r(b)).", "a": "935089*b**4 + 967*b**2 - 420" }, { "q": "Let w(c) = -2*c**2. Let a(y) = 12*y + 1. Let d(b) = 308*b + 99. Let h(p) = -198*a(p) + 2*d(p). Determine h(w(t)).", "a": "3520*t**2" }, { "q": "Let q(l) = 3*l. Let o be (-21)/84 - 9/(-4). Suppose 3*c + o*c + 4*z + 16 = 0, z = -3*c - 4. Let p(v) = c*v**2 + 2*v**2 + 0*v**2 - 4*v**2. Give p(q(x)).", "a": "-18*x**2" }, { "q": "Let r(s) be the third derivative of -s**5/30 - s**2. Let y(w) = 260*w - 2 + 2 - 259*w. Determine r(y(u)).", "a": "-2*u**2" }, { "q": "Let j(u) = 4*u. Let x(y) = -15*y. Let q(k) = 480*k. Let d(a) = 6*q(a) + 195*x(a). Let c(w) = w. Let t(i) = 54*c(i) + d(i). Determine j(t(p)).", "a": "36*p" }, { "q": "Let k(r) = r**2. Let u = -17 - -32. Let p(y) = 12*y - u*y + 4*y. What is p(k(b))?", "a": "b**2" }, { "q": "Let n(o) = 219*o + 1. Let a(m) = -10*m**2 + 64*m + 16. Let v(s) = -3*s**2 + 20*s + 5. Let l(t) = -5*a(t) + 16*v(t). Give n(l(x)).", "a": "438*x**2 + 1" }, { "q": "Let g(b) = -10 + 8 - 2 - 10*b**2 + 2*b**2. Let k(i) = i**2 - i + 3. Let u(x) = 14*x**2 - 12*x + 36. Let a(r) = -12*k(r) + u(r). What is a(g(f))?", "a": "128*f**4 + 128*f**2 + 32" }, { "q": "Let j(t) = 6*t. Let p(z) = -14*z**2 - 7*z. Let m(q) = 13*q**2 + 6*q. Let h(y) = 3*m(y) + 2*p(y). Calculate h(j(k)).", "a": "396*k**2 + 24*k" }, { "q": "Let i(o) = -1231*o. Let v(t) = 1792*t**2. Give i(v(g)).", "a": "-2205952*g**2" }, { "q": "Suppose 3*y = 22*y + 19. Let u(m) = -15*m**2 - 18. Let t(l) = l**2 + 1. Let p(x) = y*u(x) - 18*t(x). Let k(i) = -19*i**2. What is p(k(j))?", "a": "-1083*j**4" }, { "q": "Let b(f) = 21*f**2. Let k(p) be the first derivative of p**5/60 - p**2 - 41*p - 73. Let s(n) be the second derivative of k(n). What is s(b(h))?", "a": "441*h**4" }, { "q": "Let b(a) = -2*a**2 - 200. Let r(h) = 7*h - 45. Let z(x) = x - 9. Let l(d) = r(d) - 5*z(d). Give b(l(k)).", "a": "-8*k**2 - 200" }, { "q": "Let f(r) = 148*r. Let s(m) = -3*m**2 - 5*m**2 - 532*m - 545*m + 1077*m. Determine s(f(c)).", "a": "-175232*c**2" }, { "q": "Let l(g) = -4*g + 3. Let y(w) = 2*w**2 - w + 2. Let o(q) = -80*q**2 + 44*q - 88. Let d(j) = 3*o(j) + 132*y(j). Calculate d(l(p)).", "a": "384*p**2 - 576*p + 216" }, { "q": "Suppose -3*a = b - 0*b - 18, 5*a + 2*b - 29 = 0. Let g(o) = -4 + 5*o - a*o + 4. Let z(x) = -2*x + 16*x - 2*x. What is g(z(l))?", "a": "-24*l" }, { "q": "Let g(h) = h. Let y(z) = 15364759*z. Calculate y(g(n)).", "a": "15364759*n" }, { "q": "Let g(t) be the second derivative of -2/3*t**3 + 77*t + 0 + 0*t**2. Let h(n) = 30*n. Give g(h(o)).", "a": "-120*o" }, { "q": "Let r(t) = -41*t + 78. Let x(h) = 55*h - 78. Let n(m) = 4*r(m) + 3*x(m). Let j(d) = -3*d. Give j(n(k)).", "a": "-3*k - 234" }, { "q": "Let j(d) = -5*d**2. Let f(p) = p - 307 + 158 + 147. Give f(j(q)).", "a": "-5*q**2 - 2" }, { "q": "Let n(l) = 119*l**2 + 8153. Let p(f) = 3*f. Calculate p(n(q)).", "a": "357*q**2 + 24459" }, { "q": "Let l = 9 - 7. Let y(t) = t**l - 10*t**2 + 14*t**2 + 9*t**2. Let q(w) be the first derivative of -w**2 - 150. Calculate q(y(g)).", "a": "-28*g**2" }, { "q": "Let z(c) = -27*c**2 - 4. Let r(o) be the first derivative of o**3/3 - 66*o + 20. Let b(g) be the first derivative of r(g). Calculate b(z(k)).", "a": "-54*k**2 - 8" }, { "q": "Let p = 0 + 2. Let v(a) = -2 - p*a + 3 - 1. Let o(b) be the first derivative of 2*b**3/3 - 28. What is o(v(u))?", "a": "8*u**2" }, { "q": "Let g(k) be the first derivative of 1/2*k**4 + 0*k**3 + 18 + 0*k**2 + 6*k. Let l(y) be the first derivative of g(y). Let t(n) = 2*n**2. Calculate t(l(d)).", "a": "72*d**4" }, { "q": "Let g(x) = -331*x. Let m(f) = 16982*f. Calculate m(g(b)).", "a": "-5621042*b" }, { "q": "Let q(a) = -6*a. Let u(y) = -1282783*y. Give q(u(d)).", "a": "7696698*d" }, { "q": "Let f(q) = 216*q**2. Let x(r) = -11*r**2 - 20*r**2 + 22*r**2 + 16*r**2. Determine x(f(y)).", "a": "326592*y**4" }, { "q": "Let s(w) = -396*w + 300. Let a(t) = 29*t. Determine s(a(l)).", "a": "-11484*l + 300" }, { "q": "Let y(z) = -19*z**2 + 2*z - 4. Let i(c) be the second derivative of c**4/12 - c**3/6 + c**2 + 9*c. Let j(f) = -2*i(f) - y(f). Let s(l) = 6*l. Determine j(s(h)).", "a": "612*h**2" }, { "q": "Let u(o) = -o**2 + 1. Let c(h) = h - 1. Let s(p) = 3*p**2 - 5*p + 3. Let d(r) = 5*c(r) + s(r). Let t(f) = d(f) + 2*u(f). Let i(q) = -74*q**2. Give i(t(y)).", "a": "-74*y**4" }, { "q": "Let t(p) be the second derivative of p**3/2 - 2*p. Let k(m) = 371869 - 32*m**2 - 371869. What is t(k(v))?", "a": "-96*v**2" }, { "q": "Let l(u) = -u. Let g be ((-21)/28)/((-3)/24). Suppose -g = k - 8. Let b(n) = -4 - n**k + 14*n**2 + 4. What is l(b(y))?", "a": "-13*y**2" }, { "q": "Let b(t) = -149*t**2 + 36*t**2 + 36*t**2 + 36*t**2. Let p(f) be the third derivative of -f**4/24 + 3*f**2. What is p(b(m))?", "a": "41*m**2" }, { "q": "Let g(a) = -1. Let y(c) = -90*c + 2. Let l(j) = 6*g(j) + 3*y(j). Let x(k) = 3*k**2. What is l(x(z))?", "a": "-810*z**2" }, { "q": "Let l(f) = 2*f**2 - 2*f - 1. Let h(z) = -620*z**2 + 90*z + 45. Let o(k) = 2*h(k) + 90*l(k). Let x(s) = -s. Determine o(x(t)).", "a": "-1060*t**2" }, { "q": "Let r(w) be the second derivative of w**3/3 - 729*w - 1. Let s(c) = 8*c + 6*c - 6*c + c. Calculate r(s(l)).", "a": "18*l" }, { "q": "Let r(q) = -21*q + 10. Let p(k) = 39*k - 21. Let s(c) = -10*p(c) - 21*r(c). Let d(t) = -12*t**2. What is s(d(u))?", "a": "-612*u**2" }, { "q": "Let b(o) = 14*o + 5. Let q(u) be the second derivative of -u**3/3 + 178*u - 1. Give q(b(p)).", "a": "-28*p - 10" }, { "q": "Let u(t) = 21*t. Let q(h) = -11*h**2 + 6*h. Let j(f) = 660*f**2 - 363*f. Let x(g) = 2*j(g) + 121*q(g). Calculate u(x(z)).", "a": "-231*z**2" }, { "q": "Let w(d) = -2*d**2. Let k(l) = 618*l**2 - 5*l - 40. Let p(o) = -618*o**2 + 4*o + 32. Let n(u) = 4*k(u) + 5*p(u). What is n(w(b))?", "a": "-2472*b**4" }, { "q": "Let o(d) = -59*d**2 - 36*d + 154*d - 118*d. Let w(r) = -21*r. Determine o(w(f)).", "a": "-26019*f**2" }, { "q": "Suppose 4*r + 31 = 2*t + t, -3*t + 11 = r. Suppose -t*j + 60 = -2*j. Let l(i) = j*i - 10*i - 14*i. Let z(v) = -7*v. Determine l(z(f)).", "a": "28*f" }, { "q": "Let a(q) = -303 - 292 - 28*q**2 + 595. Let k(m) = -20*m. Give k(a(n)).", "a": "560*n**2" }, { "q": "Let x(b) be the first derivative of -b**4/6 + 10*b**2 - 14. Let v(y) be the second derivative of x(y). Let j(h) = 31*h. Give v(j(u)).", "a": "-124*u" }, { "q": "Let h(f) = -2*f**2. Let z(q) = 24*q**2 + 52338. Calculate z(h(d)).", "a": "96*d**4 + 52338" }, { "q": "Let c be 67/(((-4)/1)/(-4)). Let r(b) = 73*b**2 + 81*b**2 + c*b**2 - 233*b**2. Let n(v) be the first derivative of -v**3 - 2. Determine n(r(m)).", "a": "-432*m**4" }, { "q": "Let v(x) = -19*x + 3*x - 10*x. Let u(o) be the first derivative of -2*o**3/3 - 15521. Determine v(u(k)).", "a": "52*k**2" }, { "q": "Let f(x) = -58360*x. Let i(p) = 11*p + 2. What is f(i(b))?", "a": "-641960*b - 116720" }, { "q": "Let v(o) = -2*o + 198. Let u(h) be the first derivative of -h**3 - 1547. Calculate v(u(l)).", "a": "6*l**2 + 198" }, { "q": "Let g(t) = 2*t**2. Let m(v) = 4317106*v. Calculate g(m(z)).", "a": "37274808430472*z**2" }, { "q": "Let a(y) = 2*y. Let m(x) be the first derivative of 523*x**2/2 + 1108. Determine m(a(z)).", "a": "1046*z" }, { "q": "Let v(z) be the second derivative of -2 - 25/12*z**4 - 60*z + 0*z**3 + 0*z**2. Let o(f) = 2*f**2. What is o(v(q))?", "a": "1250*q**4" }, { "q": "Let p(d) = -d + 7. Let c be p(5). Let i(k) = -3*k**2 + k**2 + 7*k**c. Let t(o) = -23*o**2 + 100*o**2 - 31*o**2 - 40*o**2. Calculate t(i(s)).", "a": "150*s**4" }, { "q": "Let r(h) = -1 + 8*h**2 + 1. Let q(x) be the first derivative of 8*x**3/3 + 2095. Calculate r(q(z)).", "a": "512*z**4" }, { "q": "Let n(y) = 14*y**2. Let k(r) = -16*r**2 - 7*r**2 - 9*r**2 - 5 + 15 + 34*r**2. What is n(k(o))?", "a": "56*o**4 + 560*o**2 + 1400" }, { "q": "Let x(a) = -a. Let k(s) = 155*s**2 - 8*s + 3. Let i(z) = -310*z**2 + 20*z - 6. Let f(m) = -2*i(m) - 5*k(m). Calculate f(x(j)).", "a": "-155*j**2 - 3" }, { "q": "Let j(h) = 4*h. Let r(u) = -1858*u + 1875*u + 5 + 1. Calculate r(j(p)).", "a": "68*p + 6" }, { "q": "Let c(n) = 8*n**2. Let l(r) = r. Let w(m) = -4*m + 18. Let u(f) = l(f) - w(f). Let g be u(4). Let t(p) = -5*p**2 + 4*p**2 + 2*p**g. Give t(c(a)).", "a": "64*a**4" }, { "q": "Let k(o) be the first derivative of -o**3 + 14. Let v(l) be the third derivative of 37*l**4/24 + 46*l**2 + 1. Determine v(k(z)).", "a": "-111*z**2" }, { "q": "Let p(y) = -46*y**2. Let x be (10 + -8)*(-28)/(-8). Let s(n) = -3*n**2 - x - 6 + 13. Give s(p(l)).", "a": "-6348*l**4" }, { "q": "Let g(t) be the third derivative of -269*t**4/24 + 16*t**2 + 29. Let m(r) = r. Determine g(m(x)).", "a": "-269*x" }, { "q": "Let h(z) = 4*z + 4. Let u(x) = -1. Let v(o) = -h(o) - 4*u(o). Let g(y) = 216744 - 216744 - 10*y. Calculate v(g(f)).", "a": "40*f" }, { "q": "Let t(y) = 8*y**2. Let n(v) be the first derivative of 107*v**2/2 + 709. Calculate n(t(h)).", "a": "856*h**2" }, { "q": "Let n(g) be the third derivative of g**4/24 - 2*g**2. Let o(m) be the second derivative of 35*m**3/6 - m**2 + 1567*m. Determine o(n(v)).", "a": "35*v - 2" }, { "q": "Let x(b) = -b**2. Let k(a) be the third derivative of -157*a**5/30 - 125*a**2. Calculate k(x(t)).", "a": "-314*t**4" }, { "q": "Let f(b) = -15745592*b. Let t(d) = 2*d. Calculate t(f(k)).", "a": "-31491184*k" }, { "q": "Let l(u) be the first derivative of -449*u**2/2 + 2*u + 1183. Let y(w) = 2*w**2. Give l(y(d)).", "a": "-898*d**2 + 2" }, { "q": "Let i(c) = -17*c**2. Let d(b) = 217972*b**2. Calculate d(i(s)).", "a": "62993908*s**4" }, { "q": "Let c(i) = -6*i**2. Let z = -99863/24 - -4161. Let k(p) be the third derivative of 0 + 0*p + z*p**4 + 0*p**3 + 3*p**2. Give c(k(h)).", "a": "-6*h**2" }, { "q": "Let y(d) = 21*d**2. Let l(j) = 170*j**2 - 142*j. Determine l(y(b)).", "a": "74970*b**4 - 2982*b**2" }, { "q": "Let j(t) = -15*t - 6. Let z(w) = -31*w - 12. Let y(r) = -9*j(r) + 4*z(r). Let k(c) = 10*c + 5. Let s(n) = 6*k(n) - 5*y(n). Let v(l) = -5*l**2. Give v(s(u)).", "a": "-125*u**2" }, { "q": "Let n(m) = 282*m**2. Let c(j) = 24000*j. Give c(n(l)).", "a": "6768000*l**2" }, { "q": "Let i(o) = -o**2 + 4*o - 54. Let c(a) = 444*a. What is i(c(m))?", "a": "-197136*m**2 + 1776*m - 54" }, { "q": "Let k(h) = 15273*h**2 + h. Let g(z) = -161*z**2. What is k(g(w))?", "a": "395891433*w**4 - 161*w**2" }, { "q": "Let j = 49 - 47. Let v(i) = -3*i**2 - 2*i + 4. Let p(k) = k**2 + k - 2. Let g(q) = j*p(q) + v(q). Let y(s) = 12*s. Give g(y(o)).", "a": "-144*o**2" }, { "q": "Let t(m) = 6*m. Let h(y) = 1658715*y. Calculate h(t(k)).", "a": "9952290*k" }, { "q": "Suppose -3*s + 58 = 5*z, -7*z = -2*z - 25. Let i(l) = 33136 - 33136 - s*l. Let n(m) = 7*m. What is n(i(b))?", "a": "-77*b" }, { "q": "Let t(a) = 5*a. Let v(o) = 11*o**2 - 5*o + 23. Let b(c) = c - 5. Let i(y) = 5*b(y) + v(y). Determine i(t(u)).", "a": "275*u**2 - 2" }, { "q": "Let q(x) = -2*x. Let j(o) = -o**2 - 7*o + 20. Let n be j(-9). Let b(g) = -23*g**n + 14*g**2 + 18*g**2. Determine b(q(y)).", "a": "36*y**2" }, { "q": "Let q(a) = -4*a**2 + 0*a**2 - 2*a**2. Let f(x) be the second derivative of -7*x**3/6 + 1454*x. Determine q(f(r)).", "a": "-294*r**2" }, { "q": "Let w(a) = 2*a. Let n(y) = -1045*y. Let j(s) = 521*s. Let c(v) = -11*j(v) - 6*n(v). What is c(w(b))?", "a": "1078*b" }, { "q": "Let b(m) = -433*m - 2. Let l(v) = -1398*v. What is l(b(r))?", "a": "605334*r + 2796" }, { "q": "Let i(y) = -116*y**2 + 5*y - 5. Let a(m) = 60*m**2 - 2*m + 2. Let u(h) = -5*a(h) - 2*i(h). Let v(z) be the third derivative of -z**5/60 + 4*z**2. Give v(u(s)).", "a": "-4624*s**4" }, { "q": "Let a(i) = 25180413*i. Let d(h) = 2*h. Calculate a(d(u)).", "a": "50360826*u" }, { "q": "Suppose 2*k - 348 = 798. Let s(q) = -k - 2*q**2 + 573. Let f(x) = -11*x. Calculate s(f(v)).", "a": "-242*v**2" }, { "q": "Let v(u) = 17*u - 4*u + u**2 + 2*u. Let q(g) = 607520*g**2 + 607519*g**2 - 1215041*g**2. What is q(v(f))?", "a": "-2*f**4 - 60*f**3 - 450*f**2" }, { "q": "Let o(l) = 2*l. Let z(i) = 14*i**2 + 3*i + 18377. Determine o(z(u)).", "a": "28*u**2 + 6*u + 36754" }, { "q": "Let y(u) = 28*u**2. Let x(h) be the third derivative of h**6/360 + 20*h**3/3 - 10*h**2. Let m(b) be the first derivative of x(b). Calculate m(y(o)).", "a": "784*o**4" }, { "q": "Let y(r) be the first derivative of -r**3 + 2*r**2 - 4*r + 26. Let n(j) = 4*j**2 - 5*j + 5. Let g(f) = -4*n(f) - 5*y(f). Let w(o) = -2*o. Determine w(g(p)).", "a": "2*p**2" }, { "q": "Let i(x) = 2*x. Let y(h) be the first derivative of -69*h**3 - 1546. What is y(i(b))?", "a": "-828*b**2" }, { "q": "Let q(k) = -3025100*k. Let g(c) = -c**2. Determine q(g(t)).", "a": "3025100*t**2" }, { "q": "Let i(s) = -4*s - 18. Let p(c) = -7*c - 27. Let z(l) = 6*i(l) - 4*p(l). Let j(v) be the second derivative of -4*v**4/3 + v. Give z(j(k)).", "a": "-64*k**2" }, { "q": "Let i(m) = 5 - 2729*m**2 + 2727*m**2 - 5. Let p(c) = -226*c**2. Determine i(p(x)).", "a": "-102152*x**4" }, { "q": "Let y(j) = -168252*j. Let u(t) = -8*t. Give u(y(r)).", "a": "1346016*r" }, { "q": "Let x(r) = 26*r**2. Let n(l) be the first derivative of 4*l**2 - 3*l + 8. Let k(b) = 22*b - 8. Let g(j) = 3*k(j) - 8*n(j). What is x(g(w))?", "a": "104*w**2" }, { "q": "Let y(g) = 4*g. Let k(l) = 382348*l**2 + 2*l - 4. Give k(y(b)).", "a": "6117568*b**2 + 8*b - 4" }, { "q": "Let n(o) = o**2. Let q(h) = -17528102*h. Determine q(n(c)).", "a": "-17528102*c**2" }, { "q": "Let t(k) = k. Let r(a) be the second derivative of 3*a**3/2 - 6*a**2 - 471*a. What is t(r(f))?", "a": "9*f - 12" }, { "q": "Let i(q) = 4*q + 18889. Let r(f) = 34*f. Give i(r(l)).", "a": "136*l + 18889" }, { "q": "Let g(x) = 5*x + 7. Let v(k) = -4*k + 21. Let n(t) = t - 14. Let l(p) = -3*n(p) - 2*v(p). What is l(g(s))?", "a": "25*s + 35" }, { "q": "Let y(x) = x**2. Let m(p) = 245*p**2 + 30*p. Let l(v) = 4*v**2 + 2*v. Let t(z) = -15*l(z) + m(z). What is y(t(h))?", "a": "34225*h**4" }, { "q": "Let d(z) = 2*z. Let k(g) = -14260*g - 89. What is k(d(f))?", "a": "-28520*f - 89" }, { "q": "Let u(d) = -1 - 4 - 2 + 5 + 84*d - 151*d. Let m(q) = 14*q - 8*q - 5*q. What is u(m(s))?", "a": "-67*s - 2" }, { "q": "Suppose 4*r = -4*d - 32, -r - 4*r - 12 = -2*d. Let b be d/24 - 49/(-6). Let x(m) = -28*m + 15*m + b*m**2 + 13*m. Let s(w) = -5*w**2. Determine s(x(v)).", "a": "-320*v**4" }, { "q": "Let g = -12 + 17. Let i(u) = g*u**2 + 6*u - 6*u. Let w(x) = 59*x - 7. Let q(p) = 26*p - 3. Let y(o) = 7*q(o) - 3*w(o). Give i(y(r)).", "a": "125*r**2" }, { "q": "Let c(q) = 73*q**2. Let j(d) = 3661*d. Give j(c(l)).", "a": "267253*l**2" }, { "q": "Let u(h) = 203*h. Let c(g) = -4*g**2 - g - 143. Determine u(c(m)).", "a": "-812*m**2 - 203*m - 29029" }, { "q": "Let i(o) = -1860921*o. Let w(j) = 2*j**2. Give i(w(u)).", "a": "-3721842*u**2" }, { "q": "Let l(q) = 8*q**2. Let g(p) be the third derivative of -119*p**5/60 - p**2 - 560. Calculate l(g(b)).", "a": "113288*b**4" }, { "q": "Let i(p) be the second derivative of 31*p**3/6 + 2*p. Let o(f) = -f**2 + 8*f - 4. Let k(l) = l**2 - 14*l + 7. Let z(d) = -4*k(d) - 7*o(d). Give z(i(x)).", "a": "2883*x**2" }, { "q": "Let j be (-33)/(-132) + (-9)/(-4). Let m(q) be the first derivative of j*q**2 + 5 + 0*q. Let s(l) = -4*l. What is m(s(k))?", "a": "-20*k" }, { "q": "Let z(y) = 43*y. Let g(b) = 64*b**3 - 8*b**2 + 8*b - 4. Let o be g(5). Let i(h) = -o - h + 7836. Calculate z(i(w)).", "a": "-43*w" }, { "q": "Let z(w) = 125333*w. Let l(x) = 11*x. What is z(l(a))?", "a": "1378663*a" }, { "q": "Let p(o) = -224*o + 36. Let n(z) = -17*z - 6. Determine n(p(l)).", "a": "3808*l - 618" }, { "q": "Let k(h) = 135*h**2. Let g(t) = 19*t**2 + 302. Determine g(k(q)).", "a": "346275*q**4 + 302" }, { "q": "Let l(w) = 1616*w**2. Let z(c) = 4711*c**2. Give z(l(p)).", "a": "12302569216*p**4" }, { "q": "Let r(w) = -3*w**2. Let f(h) = 4297510*h. What is f(r(t))?", "a": "-12892530*t**2" }, { "q": "Let c(g) = 25*g. Let b = 22 + -20. Let i(k) = 13 + 3*k**b + 18 - 31. Determine c(i(a)).", "a": "75*a**2" }, { "q": "Let f(y) = -699324*y. Let a(t) = 6*t. Determine a(f(x)).", "a": "-4195944*x" }, { "q": "Let i = 14 - 13. Suppose 4*d - g = 3 + i, -2*d + g + 2 = 0. Let b(o) = -1 + d - 7*o + 0. Let r(z) = -z**2. What is b(r(l))?", "a": "7*l**2" }, { "q": "Let y(a) = -2058*a**2. Let f(q) = 4861*q. Give y(f(z)).", "a": "-48629142618*z**2" }, { "q": "Let b(w) = -2*w + 6. Let v(j) = 46*j + 10. Let h(i) = -47*i - 12. Let n(t) = -5*h(t) - 6*v(t). What is n(b(k))?", "a": "82*k - 246" }, { "q": "Let h(w) = w**2. Let f(p) = p**3 - 34*p**2 + 39*p - 50. Let j be f(35). Let i(q) = j*q**2 - 1 - 2331*q**2 + 1. Calculate i(h(m)).", "a": "209*m**4" }, { "q": "Let z(i) = 11*i. Let u(b) = -2*b - 2. Let v(k) = k + 1. Let a(q) = 2*u(q) + 7*v(q). Let g(s) = -s - 2. Let o(w) = -6*a(w) - 9*g(w). Calculate z(o(x)).", "a": "-99*x" }, { "q": "Let b(f) be the first derivative of 65*f**3/3 - 915. Let q(y) = -10*y. What is b(q(l))?", "a": "6500*l**2" }, { "q": "Let z(c) be the second derivative of -c**3/6 + 10968*c. Let a(o) be the first derivative of 7*o**3/3 - 3*o**2/2 - 1. Determine a(z(k)).", "a": "7*k**2 + 3*k" }, { "q": "Let x(p) = 4*p + 9. Let s(h) be the second derivative of -7*h**4/12 - 18*h - 26. Give x(s(m)).", "a": "-28*m**2 + 9" }, { "q": "Let c be (-42 + 0)*(6 - (-52)/(-6)). Let b(i) = -112 + i**2 + c. Let y(v) = 2*v - 72. Determine y(b(p)).", "a": "2*p**2 - 72" }, { "q": "Let i(m) be the second derivative of -m**5/120 - 28*m**3/3 - 10*m. Let t(x) be the second derivative of i(x). Let b(l) = 6*l**2 - 8. What is b(t(n))?", "a": "6*n**2 - 8" }, { "q": "Let n(w) = -2*w**2. Let i(z) = -42019*z**2 + 25*z + 3. Calculate i(n(s)).", "a": "-168076*s**4 - 50*s**2 + 3" }, { "q": "Suppose -14*c = -4*c - 3360. Let y(o) = 336 - c - 34*o + 4*o. Let p(g) = 2*g. Give p(y(i)).", "a": "-60*i" }, { "q": "Let y(i) = -19*i. Let o(v) = -1397*v**2 - 187*v + 561. Let u(m) = -15*m**2 - 2*m + 6. Let x(g) = 4*o(g) - 374*u(g). Determine y(x(q)).", "a": "-418*q**2" }, { "q": "Let r(m) = -2*m. Let n(b) = -4*b - 1325. Let h(y) = 10*y + 2640. Let d(s) = 3*h(s) + 7*n(s). Calculate r(d(g)).", "a": "-4*g + 2710" }, { "q": "Let l(h) = 2*h**2 - 3*h - 425. Let w(t) = -22*t. Calculate l(w(v)).", "a": "968*v**2 + 66*v - 425" }, { "q": "Let y = -1 - 7. Let z be -3 - (y + (-9)/(-3)). Let r(h) = 3*h**2 - 3*h**2 - z*h**2 + 3*h**2. Let m(n) = 2*n. Determine m(r(i)).", "a": "2*i**2" }, { "q": "Suppose -2*f - 2*f + 4*x = -408, -3*f + 306 = x. Let s(h) = -78*h - 146*h + f*h. Let v(j) = j. Determine v(s(m)).", "a": "-122*m" }, { "q": "Let u(y) = 233090*y**2 - 242*y + 484. Let n(k) = 4806*k**2 - 5*k + 10. Let q(x) = 242*n(x) - 5*u(x). Let w(o) = o. Give q(w(z)).", "a": "-2398*z**2" }, { "q": "Let y(k) = -10608*k**2 + 10627*k**2 + 4*k - 2*k - 2*k. Let i(m) = -112*m**2. Give i(y(l)).", "a": "-40432*l**4" }, { "q": "Let s(z) = -13*z. Let r(w) = -2*w. Let k(t) = t. Suppose 0 = -5*f + 7 - 7. Suppose m + m - 8 = f. Let o(n) = m*k(n) + r(n). Give o(s(j)).", "a": "-26*j" }, { "q": "Let k(z) = -13 - 2*z**2 + 13 + 0 + 0*z**2. Suppose -8 = -4*h + 24. Let f(b) = 0*b**2 - 6*b**2 + h*b**2. Calculate k(f(u)).", "a": "-8*u**4" }, { "q": "Let t(r) = -78*r. Let b(h) = 176*h**2 + 135*h**2 - 306*h**2. Calculate t(b(c)).", "a": "-390*c**2" }, { "q": "Let u(p) = 46*p**2 + 76*p**2 - 41*p**2 + 45*p**2. Let d(r) = -2*r**2. What is d(u(o))?", "a": "-31752*o**4" }, { "q": "Let q(t) = 243177*t. Let u(c) = -15*c. Give q(u(l)).", "a": "-3647655*l" }, { "q": "Let s(y) = 92*y - 6. Let u(h) = -8557*h + 559. Let o(t) = -559*s(t) - 6*u(t). Let p(v) = 2*v - 10. Let z(w) = -w + 4. Let g(l) = 2*p(l) + 5*z(l). Give o(g(m)).", "a": "86*m" }, { "q": "Let h be (-1)/(1/(19*-1)). Let x(o) = 5*o - h*o - 26*o. Let a(k) = -291 - 200 + 491 - 2*k. What is x(a(t))?", "a": "80*t" }, { "q": "Let t(g) be the first derivative of -10*g**3/3 - 19. Let p(m) = -2*m + 24. Let i(y) = -9. Let h(c) = 8*i(c) + 3*p(c). Determine h(t(u)).", "a": "60*u**2" }, { "q": "Let l(x) = -x**2. Suppose q = 4 + 21. Suppose -5*t - 15 = -4*h - 0*h, -3*h = -t - q. Let m(s) = 0*s + h*s - s. Determine m(l(u)).", "a": "-9*u**2" }, { "q": "Let x(o) be the first derivative of -2*o**2 - 412. Let t(n) = -2*n**2 - 97. Determine x(t(j)).", "a": "8*j**2 + 388" }, { "q": "Let b(m) = -7*m. Let c(y) be the second derivative of y**3/3 + 33*y**2/2 - 60*y - 6. Calculate b(c(i)).", "a": "-14*i - 231" }, { "q": "Let o(p) = p - 539951*p**2 + 539958*p**2 - p. Let n(m) = -130*m. What is o(n(x))?", "a": "118300*x**2" }, { "q": "Let h(a) = -15*a**2. Let u(l) be the first derivative of -101*l**2/2 - 74. What is h(u(n))?", "a": "-153015*n**2" }, { "q": "Let t(y) = -146*y**2 + 56*y**2 + 50*y**2 + 56*y**2. Let p(d) be the third derivative of d**5/12 - 2*d**2. What is p(t(n))?", "a": "1280*n**4" }, { "q": "Let p(x) = 2*x - 1. Suppose -32 + 8 = -4*w. Let o(c) = -7*c + 15*c - w*c. What is p(o(v))?", "a": "4*v - 1" }, { "q": "Let i(h) = -34*h**2 - 27*h**2 + 30*h**2. Let l(t) = 8*t**2. Determine i(l(s)).", "a": "-1984*s**4" }, { "q": "Suppose -46 = 5*w + y, -5*y = -2*w - w - 50. Let x(h) = 8*h**2 + 5*h + 5. Let l(i) = i**2 + i + 1. Let k(j) = w*l(j) + 2*x(j). Let p(d) = 3*d. Give p(k(m)).", "a": "18*m**2" }, { "q": "Let l(a) = -3*a. Let t(u) = 1713*u - 20. Let r(z) = 2381929*z - 27808. Let h(g) = 5*r(g) - 6952*t(g). Give l(h(b)).", "a": "-2607*b" }, { "q": "Let y be (-56)/(-21) + (-1)/(-3). Suppose y*i = 2*v - 45, 2*v + 19 - 63 = 2*i. Let k(p) = -11*p - 21 + 3*p + v. Let w(h) = 2*h. Determine k(w(t)).", "a": "-16*t" }, { "q": "Let m(s) = 19229188*s**2. Let p(i) = i**2. What is m(p(f))?", "a": "19229188*f**4" }, { "q": "Let v(c) = -5 - 8*c**2 + 12*c**2 - 5*c**2. Let w(j) = -j + 3. Let z(n) = -n**2 - n + 3. Let o(f) = w(f) - z(f). Determine v(o(g)).", "a": "-g**4 - 5" }, { "q": "Let c(b) = -47*b**2 + 64*b**2 - 2*b**2. Let r(t) = 57*t - 2. What is r(c(d))?", "a": "855*d**2 - 2" }, { "q": "Let b(j) = 37*j. Let a(v) = v. Let o(s) = -2*a(s) + b(s). Let i(y) = 3*y**2 + 5*y. Let g(f) = 4*f**2 + 6*f. Let w(n) = -5*g(n) + 6*i(n). What is w(o(t))?", "a": "-2450*t**2" }, { "q": "Let a(l) = 24*l. Let i(z) = z + 8 - 11 + 3. Let s(q) = -2*a(q) + 36*i(q). Let g(f) = 2*f. Give s(g(x)).", "a": "-24*x" }, { "q": "Let g(v) be the second derivative of 2 + 0*v**2 - 23/12*v**4 - 4*v + 0*v**3. Let w(r) be the second derivative of r**3/3 + 2*r. Give w(g(i)).", "a": "-46*i**2" }, { "q": "Let v(k) = 3*k**2 - 9*k - 9. Let w(g) = g**2 - 2*g - 2. Let d(u) = 2*v(u) - 9*w(u). Let b(y) be the first derivative of y**3 - 9*y + 13858. Calculate d(b(x)).", "a": "-27*x**4 + 162*x**2 - 243" }, { "q": "Let j(u) = 226*u. Let k(b) = -100*b**2 + 9*b. Let x(d) = -44*d**2 + 4*d. Let g(m) = 4*k(m) - 9*x(m). Calculate g(j(w)).", "a": "-204304*w**2" }, { "q": "Let r(l) = 85*l - 34. Let j(p) = -24*p + 10. Let f(c) = 17*j(c) + 5*r(c). Let d(g) = -3*g. Let n(y) = y. Let b(o) = -4*d(o) - 15*n(o). Calculate f(b(i)).", "a": "-51*i" }, { "q": "Let f(k) = 23*k**2 + 204. Let h(v) = -4*v**2 - 36. Let g(x) = 6*f(x) + 34*h(x). Let t(w) = 0*w - 8*w**2 - 2*w - 4*w. What is t(g(r))?", "a": "-32*r**4 - 12*r**2" }, { "q": "Let t(d) = 4704*d**2. Let p(w) = 1672*w**2. Calculate t(p(r)).", "a": "13150427136*r**4" }, { "q": "Let l(b) = -26*b**2. Let i(m) = -34*m**2 + 5028*m. Calculate i(l(p)).", "a": "-22984*p**4 - 130728*p**2" }, { "q": "Let g(u) = -2*u. Let j = 393/4 + -98. Let d(b) be the third derivative of 0*b - j*b**4 - 16*b**2 + 0 + 0*b**3. Determine d(g(c)).", "a": "12*c" }, { "q": "Let u(d) = d. Suppose 3*t + q - 5 = 0, 0*t = 2*t + q - 3. Let c be (-4)/(-7)*7/t. Let b(x) = -6*x + c*x + 2*x. Give b(u(r)).", "a": "-2*r" }, { "q": "Let t(y) = -y**2. Let l(f) = -639*f - 892*f + 1738*f. Determine t(l(i)).", "a": "-42849*i**2" }, { "q": "Let g(c) = -c - 4. Let t(k) = -k - 3. Let p(y) = 3*g(y) - 4*t(y). Let f(l) = -4 + 10 + 3*l - 4 - 56*l + 0*l. What is p(f(n))?", "a": "-53*n + 2" }, { "q": "Let p(t) = 10*t**2. Suppose 3*z = 2*a - 43, -2*a + a + z + 22 = 0. Let i = -21 + a. Let q(d) = 0*d + i*d + d - d. Determine q(p(g)).", "a": "20*g**2" }, { "q": "Let j(d) = 2*d**2. Let r(u) be the third derivative of -13*u**4/6 - 1267*u**2. What is r(j(i))?", "a": "-104*i**2" }, { "q": "Let z(j) = -41*j**2 + 15. Let y(k) = -39*k**2 + k + 10. Let w(m) = -3*y(m) + 2*z(m). Let o(f) = f. What is w(o(c))?", "a": "35*c**2 - 3*c" }, { "q": "Let i(l) = -4*l**2. Let p(c) be the second derivative of 43*c**3/6 + 1083*c. Determine p(i(d)).", "a": "-172*d**2" }, { "q": "Let h(p) = p. Let b(o) = o + 2. Let t = 182 - 184. Let a(z) = z - 149. Let n(c) = t*b(c) + a(c). Determine n(h(u)).", "a": "-u - 153" }, { "q": "Let q(a) = 15*a - 13. Let l(d) = 7*d - 6. Let j(t) = -13*l(t) + 6*q(t). Let m(v) = -1430*v + 7 - 60*v**2 + 1430*v - 7. What is m(j(n))?", "a": "-60*n**2" }, { "q": "Let f(b) = -15*b**2. Let d(o) = -8*o - 7. Let v(x) = -1674 - x + 1673 + 0*x. Let l(i) = 4*d(i) - 28*v(i). What is f(l(r))?", "a": "-240*r**2" }, { "q": "Let p(j) = j - 84237. Let v(n) = 19*n**2. Determine p(v(c)).", "a": "19*c**2 - 84237" }, { "q": "Let f(s) = 25 - 52 - 44*s**2 + 29. Let l(o) = 18*o**2. Calculate f(l(i)).", "a": "-14256*i**4 + 2" }, { "q": "Let o(b) be the second derivative of 0*b**2 + 1/6*b**3 + 2*b + 17. Let w(x) = -7*x**2. What is w(o(d))?", "a": "-7*d**2" }, { "q": "Let b(g) = -42*g + 16. Let j(f) = 14*f - 5. Suppose -3 + 19 = -c. Let q(m) = c*j(m) - 5*b(m). Let h(z) = 5*z. Calculate h(q(r)).", "a": "-70*r" }, { "q": "Let z = 145 - 76. Let g(u) = z + 37 + u - 178 + 0. Let x(v) = -2*v. Calculate g(x(a)).", "a": "-2*a - 72" }, { "q": "Let b(n) = 74*n**2 - 153*n**2 + 75*n**2. Let l(m) = 3*m**2 - 10*m + 5. Let j(a) = -2*a**2 + 6*a - 3. Let v(u) = 5*j(u) + 3*l(u). What is v(b(f))?", "a": "-16*f**4" }, { "q": "Let b(g) be the third derivative of -g**5/60 + 334*g**2. Let y(r) = -148*r**2. Determine b(y(h)).", "a": "-21904*h**4" }, { "q": "Suppose -6*r + 111 = -3*r. Let l(u) = -1 - 39*u + 1 + r*u. Let j(i) be the second derivative of -11*i**3/3 + 6*i. Calculate l(j(q)).", "a": "44*q" }, { "q": "Let n(b) be the first derivative of -b**3/3 - 1. Let t = -8 + 88. Let o(m) = 138*m - 70*m - t*m. Determine o(n(z)).", "a": "12*z**2" }, { "q": "Let n(s) = 7*s. Let f(w) = -1575*w**2 - 64. Calculate f(n(g)).", "a": "-77175*g**2 - 64" }, { "q": "Let i(l) be the first derivative of 66 + 0*l + 29/2*l**2. Let m(o) = -5*o. Calculate i(m(x)).", "a": "-145*x" }, { "q": "Let q(g) = -2*g**2. Let z(k) = -1880178*k. Calculate q(z(s)).", "a": "-7070138623368*s**2" }, { "q": "Let h(m) = -263 - 4*m**2 + 402 - 139. Let q(s) = -50*s**2. What is h(q(t))?", "a": "-10000*t**4" }, { "q": "Let h(n) = -2*n. Let p(g) = 256*g - 30. Let a(v) = -40831*v + 4788. Let k(z) = 5*a(z) + 798*p(z). Give h(k(c)).", "a": "-266*c" }, { "q": "Let g(y) = -86*y**2 - 4. Let b(p) be the second derivative of p**3/6 + 119*p. Give g(b(k)).", "a": "-86*k**2 - 4" }, { "q": "Let j(k) = 3*k. Let m(d) be the third derivative of -d**6/36 - 5*d**4/24 - d**3/2 - 13*d**2 - 1. Let r(q) be the second derivative of m(q). Determine r(j(z)).", "a": "-60*z" }, { "q": "Let o(f) = -2*f**2 - 172*f + 280*f - 108*f. Let n(q) = 63*q**2 + 5*q + 5. Let y(v) = 64*v**2 + 6*v + 6. Let p(z) = 6*n(z) - 5*y(z). Give p(o(d)).", "a": "232*d**4" }, { "q": "Let r(u) = 12861371*u. Let q(t) = -t**2. What is r(q(y))?", "a": "-12861371*y**2" }, { "q": "Let f(k) = 7*k. Let g(r) = 6*r + 2*r + 2*r - 8*r. Let w(a) = 6*f(a) - 26*g(a). Let l(c) = 7*c**2. What is l(w(h))?", "a": "700*h**2" }, { "q": "Let z(b) = b. Let t(i) = 2*i**2 - 305*i + 3. Let n(f) = 4*f**2 - 306*f + 4. Let q(u) = 3*n(u) - 4*t(u). Calculate z(q(a)).", "a": "4*a**2 + 302*a" }, { "q": "Let s(u) = 34*u - 3*u - u**2 - 13*u - 18*u. Let a(h) = -10*h**2 + 3*h - 2. Let k(c) = -9*c**2 + 4*c - 1. Let g(o) = -4*a(o) + 3*k(o). Give s(g(b)).", "a": "-169*b**4 - 130*b**2 - 25" }, { "q": "Let d(j) = -41*j. Let b = 195 + -194. Let c(o) = 537*o - b - 534*o + 1. Calculate d(c(n)).", "a": "-123*n" }, { "q": "Let j(r) = 88 + 79 - 2*r + 86 - 253. Let k(v) = -872*v**2. Calculate j(k(n)).", "a": "1744*n**2" }, { "q": "Let q(g) = 6*g. Let p(l) = -6*l + 1. Let f(m) = -285*m + 36. Let w(b) = -5*f(b) + 180*p(b). Give q(w(t)).", "a": "2070*t" }, { "q": "Let x be (-2)/(((-5)/(-10))/1). Let k = x - -9. Let c(a) = k*a + 10*a + 6*a**2 - 15*a. Let j(i) = -i**2. What is c(j(d))?", "a": "6*d**4" }, { "q": "Let y(q) = 7*q**2 + 1. Let k(d) = -5*d**2 - d + 1. Let u(o) = 6*o**2 + o - 1. Let r(f) = 3*k(f) + 3*u(f). Calculate r(y(l)).", "a": "147*l**4 + 42*l**2 + 3" }, { "q": "Let v(n) = -3*n. Let w(p) be the second derivative of -7*p**3/3 - 9*p**2 + 16*p - 17. Determine v(w(f)).", "a": "42*f + 54" }, { "q": "Let r(n) = -2968*n + 1490*n + 1479*n. Let v(t) = 521*t**2 - 2*t. Calculate r(v(i)).", "a": "521*i**2 - 2*i" }, { "q": "Let o(v) be the third derivative of -v**4/24 + 1050*v**2. Let i(q) be the third derivative of q**5/12 + 2*q**2. Determine i(o(m)).", "a": "5*m**2" }, { "q": "Let p(a) = -8. Let y(g) = g + 88. Let x(v) = 22*p(v) + 2*y(v). Let w(c) = 1761*c. Determine x(w(q)).", "a": "3522*q" }, { "q": "Let f(a) be the second derivative of 6*a**3 - 11*a + 6. Let m(q) = -q + 26. Determine f(m(k)).", "a": "-36*k + 936" }, { "q": "Let c(q) = -10*q. Let a(f) = 6*f + 15. Let o(x) = -10*x + 26. Let s be o(3). Let u(w) = -w - 4. Let g(z) = s*a(z) - 15*u(z). Determine c(g(i)).", "a": "90*i" }, { "q": "Let j(z) = 16*z. Let o(s) = s + 1. Let r(h) = 0 - 1 + h**2 + 0*h - h. Let b be ((-18)/(-2))/3 + (-6)/3. Let m(t) = b*r(t) + o(t). Give m(j(u)).", "a": "256*u**2" }, { "q": "Let k(m) = -1. Let t(f) = f + 1. Let g = -128 + 81. Let q = -50 - g. Let n(y) = q*t(y) - 3*k(y). Let p(d) = -2*d. Give n(p(l)).", "a": "6*l" }, { "q": "Let i(w) = -w**2. Let f(d) = -12591*d**2 - 42*d + 210. Let a(x) = -1259*x**2 - 4*x + 20. Let t(j) = 21*a(j) - 2*f(j). Determine i(t(q)).", "a": "-1580049*q**4" }, { "q": "Let y(i) = -3*i - 4. Let k(n) = 4*n + 5. Let r(o) = 4*k(o) + 5*y(o). Let c be -3 - ((-108)/(-2))/(-3). Let m(l) = -c*l + 3*l**2 + 15*l. What is m(r(w))?", "a": "3*w**2" }, { "q": "Let x(j) = 0 - 7 + 151448*j - 151432*j. Let o(q) = q**2. Calculate x(o(a)).", "a": "16*a**2 - 7" }, { "q": "Let j(g) = -19*g**2. Let d(m) = -11731*m**2 - 11731*m**2 + 23406*m**2. Calculate j(d(s)).", "a": "-59584*s**4" }, { "q": "Let u(x) = 2*x. Let q(r) = -24651*r**2 - 581*r - 581. Let f(d) = -2*d**2 - 4*d + 50*d**2 + 37*d**2 + 2 + 6*d. Let i(j) = 581*f(j) + 2*q(j). Calculate i(u(s)).", "a": "332*s**2" }, { "q": "Let z(h) = 47*h. Let k(c) be the first derivative of 21 + 0*c - 1/3*c**3 + 0*c**2. Calculate k(z(o)).", "a": "-2209*o**2" }, { "q": "Let p(w) be the third derivative of w**5/30 + 51*w**2 + 2*w. Let j(z) = 59*z - 15. Determine j(p(l)).", "a": "118*l**2 - 15" }, { "q": "Let g(i) = -4*i**2 - 15*i + 5. Let h(u) = 3383*u. What is h(g(b))?", "a": "-13532*b**2 - 50745*b + 16915" }, { "q": "Let w be (-28)/(-18) - (-525)/(-1512). Let i(u) be the third derivative of 0*u**3 - 16*u**2 + w*u**4 + 0*u + 0. Let x(h) = 2*h**2. Determine i(x(l)).", "a": "58*l**2" }, { "q": "Let f(w) = -w - 14. Let v(p) = 526*p + 528*p + p**2 - 1575*p + 521*p. Calculate v(f(q)).", "a": "q**2 + 28*q + 196" }, { "q": "Let i(j) = 441*j. Let s(o) = -3*o**2 + 7691. Calculate s(i(y)).", "a": "-583443*y**2 + 7691" }, { "q": "Let h(q) = -41378*q**2. Let l(f) = -285*f**2. Give h(l(w)).", "a": "-3360928050*w**4" }, { "q": "Let n(s) = 1782*s**2 - 887*s**2 - 897*s**2. Let o(z) = 61*z - 3. Let h(m) = 4147*m - 203. Let g(y) = 3*h(y) - 203*o(y). Give n(g(a)).", "a": "-6728*a**2" }, { "q": "Let k(y) = 116*y. Let j(r) = -285*r**2. Give j(k(i)).", "a": "-3834960*i**2" }, { "q": "Let c(k) = k**2 + 2*k + 2. Let p be c(-2). Let b(o) = 2*o + p*o - 2*o. Let f(g) = -13. Let r(d) = d - 52. Let j(a) = 4*f(a) - r(a). Calculate j(b(x)).", "a": "-2*x" }, { "q": "Let y = 20 - 2. Let d(r) = y*r - 5*r - 6*r - 8*r. Let c(z) = -3*z - 12. Calculate c(d(w)).", "a": "3*w - 12" }, { "q": "Let m(x) = 2*x. Let n(l) be the second derivative of 3*l**4/4 + 3*l**3 + 955*l. Calculate n(m(b)).", "a": "36*b**2 + 36*b" }, { "q": "Let h(a) = 6*a. Let n be 3/15*3 + 17/5. Let r(i) = -13 - 10*i + n + 9. Give h(r(m)).", "a": "-60*m" }, { "q": "Let u(b) = 273*b - 5 - 669*b + 5. Let o(q) = -q**2. Calculate o(u(s)).", "a": "-156816*s**2" }, { "q": "Let g(w) be the first derivative of -251*w**3/3 - 252. Let p(s) = -3*s. Determine p(g(r)).", "a": "753*r**2" }, { "q": "Let g(h) = 19*h**2. Let n(i) = -72450*i**2. Determine n(g(k)).", "a": "-26154450*k**4" }, { "q": "Let k(h) = -h**2. Let l(f) be the first derivative of -f - 7/2*f**2 + 61. Calculate k(l(x)).", "a": "-49*x**2 - 14*x - 1" }, { "q": "Let l(i) = i. Let u(m) = m + 5. Suppose 0 = -2*v + 3*x - x - 4, 4*x - 11 = v. Let r(t) = v*u(t) + 3*l(t). Let b(f) = -f. What is b(r(h))?", "a": "-4*h - 5" }, { "q": "Let h = -39 - -83. Let w(u) = -47*u + 85*u - h*u. Let q(d) be the second derivative of -d**4/4 + d. Calculate w(q(s)).", "a": "18*s**2" }, { "q": "Let i(z) = -2*z. Let m = 266 + -154. Let s be (-55)/(m/38 - 3). Let r(l) = 13*l**2 - 1045 + s. Give r(i(b)).", "a": "52*b**2" }, { "q": "Let c(q) = -q. Let s = -97 + 171. Let b(x) = -37 - 37 + s + 164*x**2. What is b(c(h))?", "a": "164*h**2" }, { "q": "Let d(a) = -2*a**2 - 2*a**2 + 0*a**2. Let n(y) = 305*y**2 - 50*y - 350. Let i(o) = -37*o**2 + 6*o + 42. Let j(u) = -25*i(u) - 3*n(u). Determine j(d(v)).", "a": "160*v**4" }, { "q": "Let x(k) = -554*k**2 - 340*k + 20. Let f(l) = 79*l**2 + 51*l - 3. Let y(q) = 20*f(q) + 3*x(q). Let r(s) = -8*s**2. Determine y(r(w)).", "a": "-5248*w**4" }, { "q": "Let a be 1/4*-2 - 15/(-6). Let g(d) = -96*d**2 - 3*d + 3*d + 79*d**a. Let r(w) = -w**2 + 3*w**2 + 0*w**2. Determine r(g(m)).", "a": "578*m**4" }, { "q": "Let v(f) = -114*f - 16. Let i(o) = 71*o + 10. Let z(n) = -8*i(n) - 5*v(n). Let x(y) = y**2 + 80*y. What is z(x(g))?", "a": "2*g**2 + 160*g" }, { "q": "Let u(i) = -108*i**2 - 14*i - 11. Let h(k) = -4*k - 1. Calculate h(u(y)).", "a": "432*y**2 + 56*y + 43" }, { "q": "Let j(z) = -11*z + 3. Suppose 23*k - 21*k = -10. Let f(h) = -23*h + 5. Let u(r) = k*j(r) + 3*f(r). Let c(v) = 4*v. Give u(c(l)).", "a": "-56*l" }, { "q": "Let i(r) = 2695*r**2. Let y(z) = 596*z. Give y(i(u)).", "a": "1606220*u**2" }, { "q": "Let s(u) = -10*u + 5. Let g(v) = 9*v - 4. Let a(l) = 5*g(l) + 4*s(l). Suppose -11 + 0 = -t. Let j(k) = -t*k**2 + 22*k**2 - 2*k**2 - 11*k**2. What is a(j(r))?", "a": "-10*r**2" }, { "q": "Let q(p) = p - 143. Let m(l) = -12080*l. Determine q(m(c)).", "a": "-12080*c - 143" }, { "q": "Let j(w) = -13*w. Let l(s) = 612*s. Let y(b) = -187*j(b) - 4*l(b). Let n(d) = 99*d + 93*d + 4*d**2 + 96*d - 288*d. Determine y(n(z)).", "a": "-68*z**2" }, { "q": "Let y(h) be the first derivative of -4*h**3/3 - 14*h**2 - 324. Let o(s) = 5*s. Determine o(y(q)).", "a": "-20*q**2 - 140*q" }, { "q": "Let d = 3 + -3. Let z(v) = d + 0 - 761*v + 805*v. Let k(u) = -2*u**2 + u**2 + 3*u**2. Give z(k(f)).", "a": "88*f**2" }, { "q": "Suppose 151 = s - 4281. Let v(h) = s*h - 4432*h + 8*h**2. Let f(p) = -2*p. What is v(f(y))?", "a": "32*y**2" }, { "q": "Let p(d) = 5*d + 4. Let y(k) = 9*k + 10. Let m(w) = 4*w + 41. Let l be m(-9). Let t(c) = l*p(c) - 2*y(c). Let z(g) = g. Give t(z(b)).", "a": "7*b" }, { "q": "Let t(r) = -7*r**2 - 6. Let y(w) = 59 - 58 - w**2 + 2*w**2. Let o(i) = t(i) + 6*y(i). Let j(l) = 5 - 3*l**2 - 3 - 2. Determine o(j(g)).", "a": "-9*g**4" }, { "q": "Let a(n) = n**2. Let m(b) = -521*b - 5564. Determine m(a(l)).", "a": "-521*l**2 - 5564" }, { "q": "Let i(s) = s. Let x(z) = -18*z**2 + 4889*z - 1. Give i(x(b)).", "a": "-18*b**2 + 4889*b - 1" }, { "q": "Let q(l) = 82*l. Let m(p) be the third derivative of 7*p**5/60 - 2*p**2 - 694*p. Give q(m(i)).", "a": "574*i**2" }, { "q": "Let a(t) be the third derivative of 521*t**5/30 - 79*t**2. Let r(n) = 3*n**2. Determine r(a(s)).", "a": "3257292*s**4" }, { "q": "Let n(i) = 9*i**2. Let m = 21 + 7. Let s be (-111)/(-21) - 8/m. Let u(x) = 2*x + x + x - s*x. Determine n(u(c)).", "a": "9*c**2" }, { "q": "Let f(q) be the first derivative of 0*q + 3/2*q**2 + 1. Let z(h) be the first derivative of -7*h**2/2 - 3187. What is z(f(n))?", "a": "-21*n" }, { "q": "Let i(n) = 5*n**2. Let j(s) = 17 + 52*s + 62*s - 126*s - 18. Calculate j(i(c)).", "a": "-60*c**2 - 1" }, { "q": "Let z(u) = -10*u**2. Let n(b) = -b + 672001. Give n(z(y)).", "a": "10*y**2 + 672001" }, { "q": "Let u(x) = 129*x. Let s(c) = -c + 3. Let l be (-4)/(-1)*96/(-128). Let i(z) = 1. Let k(m) = l*i(m) + s(m). Determine u(k(y)).", "a": "-129*y" }, { "q": "Let h(z) = -33*z. Let f(x) = 219*x**2 + 220*x**2 + 212*x**2 + 217*x**2 - 880*x**2. Give f(h(n)).", "a": "-13068*n**2" }, { "q": "Let r(w) be the second derivative of w**4/6 + 34*w**3/3 - 610*w. Let h(z) = 4*z**2. Give r(h(y)).", "a": "32*y**4 + 272*y**2" }, { "q": "Let d(n) = 5*n**2. Let j = -110 - -110. Let r(t) = 8*t - 2*t - 5*t + j*t. Calculate r(d(a)).", "a": "5*a**2" }, { "q": "Let w(t) = -140*t**2 - t. Let n(c) = -552*c**2 - 8*c. Let q(i) = -n(i) + 4*w(i). Let b(m) = -1 + 1 + 2*m. Give b(q(a)).", "a": "-16*a**2 + 8*a" }, { "q": "Let r(k) = -64503*k. Let f(i) = -20*i - 1. Give r(f(h)).", "a": "1290060*h + 64503" }, { "q": "Let d(t) = 21*t - 1. Let f(q) = 22*q**2 + 3*q - 81. Determine f(d(v)).", "a": "9702*v**2 - 861*v - 62" }, { "q": "Let t(m) be the third derivative of -m**7/1260 + m**4/6 - m**3/3 + 67*m**2. Let q(v) be the second derivative of t(v). Let g(h) = -3*h**2. Calculate g(q(d)).", "a": "-12*d**4" }, { "q": "Let t(b) = -3*b**2 + b - 18695. Let g(v) = -2*v. What is g(t(i))?", "a": "6*i**2 - 2*i + 37390" }, { "q": "Let b(z) = -231*z**2. Let n(v) = 196431*v - 196431*v - 2*v**2. What is b(n(x))?", "a": "-924*x**4" }, { "q": "Let a(t) = -6*t. Let p(s) = -7*s. Let k(m) = 5*a(m) - 4*p(m). Let z(l) be the second derivative of 9*l**3/2 - 54*l. Calculate z(k(j)).", "a": "-54*j" }, { "q": "Let l(r) = 38*r. Let f(t) be the first derivative of -10*t**3 + 1055. Give l(f(o)).", "a": "-1140*o**2" }, { "q": "Let x = 677 - 477. Suppose -p + x = 4*p. Let q(b) = p - 40 + b. Let g(l) = 4*l. Calculate g(q(n)).", "a": "4*n" }, { "q": "Let u(j) = -3*j + 7438. Let c(l) = -22*l. Give c(u(h)).", "a": "66*h - 163636" }, { "q": "Let y(s) = 20*s**2. Let c(t) = 5*t - 25. Let a(k) = -5*k + 20. Let g(o) = -8*a(o) - 7*c(o). What is g(y(d))?", "a": "100*d**2 + 15" }, { "q": "Suppose c + 9 = 3*i, -3*i + 21 = -0*i - 5*c. Let g(b) = 239*b**2 + 2 - i - 247*b**2. Let t(u) = -2*u. What is t(g(l))?", "a": "16*l**2" }, { "q": "Let w(j) = -3*j - 180110. Let b(n) = 4*n**2. Calculate w(b(k)).", "a": "-12*k**2 - 180110" }, { "q": "Let j(b) be the first derivative of b**6/360 - 65*b**3/3 + 44. Let s(v) be the third derivative of j(v). Let u(z) = -59*z**2. Determine u(s(k)).", "a": "-59*k**4" }, { "q": "Let g(x) = -2*x. Let j be (-10 - -8)*45/2. Let c = j - -65. Let v(p) = -c*p - 19*p + 16*p. Give g(v(d)).", "a": "46*d" }, { "q": "Let z(d) = 3056*d**2. Let j(t) be the second derivative of t**3/3 + t + 854. Give j(z(o)).", "a": "6112*o**2" }, { "q": "Let j(q) be the third derivative of q**5/60 - 2*q**3/3 + 987*q**2. Let k(y) = 2*y**2. Determine k(j(b)).", "a": "2*b**4 - 16*b**2 + 32" }, { "q": "Let l(i) = 5*i**2. Let j(r) = -6*r + 7. Let p(u) = -u + 1. Suppose 0 = -8*f + 2*f - 36. Let k(c) = f*j(c) + 42*p(c). Determine k(l(o)).", "a": "-30*o**2" }, { "q": "Let h(z) = -18*z. Let k(f) = -25*f**2 - 3*f + 24. Let b(o) = 26*o**2 + 2*o - 16. Let r(c) = 6*b(c) + 4*k(c). Give h(r(y)).", "a": "-1008*y**2" }, { "q": "Let l(u) be the third derivative of 0 + 0*u**3 + 33*u**2 + 0*u + 3/20*u**5 + 0*u**4. Let y(v) = 2*v. Give y(l(x)).", "a": "18*x**2" }, { "q": "Let f(c) = -33673468*c. Let x(k) = -k. Give f(x(w)).", "a": "33673468*w" }, { "q": "Let i(h) = -272*h. Let s(m) = 19994 + 5*m - 9*m - 19994. Calculate i(s(b)).", "a": "1088*b" }, { "q": "Let y(h) = -17*h**2 + 525*h - 35. Let u(a) = -a**2 + 30*a - 2. Let q(g) = 105*u(g) - 6*y(g). Let o(s) = 3*s + 18 + 2 - 3. What is q(o(x))?", "a": "-27*x**2 - 306*x - 867" }, { "q": "Let n(y) = -2*y. Let d(g) = -3239*g. Give n(d(z)).", "a": "6478*z" }, { "q": "Let d(q) = -2*q. Let a(b) = 838*b - 4876. Calculate d(a(p)).", "a": "-1676*p + 9752" }, { "q": "Let z be 58 + (27/3)/(-3). Let t(q) = 109*q - 54*q - z*q - q**2. Let d(g) = -22*g**2. Give d(t(k)).", "a": "-22*k**4" }, { "q": "Let l(u) = -12*u. Let j(r) be the second derivative of -r**6/120 + 49*r**3/6 - 41*r. Let g(b) be the second derivative of j(b). What is l(g(t))?", "a": "36*t**2" }, { "q": "Let w(h) = h**2. Let b(n) = 65 + 61 - 11*n + 53 - 182. What is b(w(j))?", "a": "-11*j**2 - 3" }, { "q": "Let a(k) = 2*k. Let d(m) = 3*m. Let o(h) = -2*a(h) + 6*d(h). Let u(s) = -78*s - 2. Calculate o(u(w)).", "a": "-1092*w - 28" }, { "q": "Let a(j) = 89*j**2. Let z(h) = -24885*h**2. Give z(a(n)).", "a": "-197114085*n**4" }, { "q": "Suppose -45 + 45 = -69*c. Let f(h) be the third derivative of c*h**4 + 0*h**3 + 0 + 5*h**2 + 1/4*h**5 + 0*h. Let a(n) = n. What is a(f(l))?", "a": "15*l**2" }, { "q": "Suppose -g + 4*g - 5 = -5*f, -2*f + 10 = 2*g. Let m(s) = 30*s**2 - g*s**2 - 6*s**2 - 15*s**2. Let p(a) = -a - 2. Calculate m(p(w)).", "a": "-w**2 - 4*w - 4" }, { "q": "Let r(z) = -z. Let v(u) = 2*u - 1164432. Determine r(v(m)).", "a": "-2*m + 1164432" }, { "q": "Let m(o) be the third derivative of o**4/24 + 42*o**2. Let q(p) = -2 - 64*p**2 - 1 + 2. Calculate m(q(y)).", "a": "-64*y**2 - 1" }, { "q": "Let x(z) = -3*z. Let l(a) = 2634*a + 6. Let p(r) = -7904*r - 19. Let t(o) = -19*l(o) - 6*p(o). Let b(c) = 46*c. Let q(k) = 115*b(k) + 2*t(k). Calculate x(q(i)).", "a": "-138*i" }, { "q": "Let h(x) = -40*x**2 - 6. Let i(a) = -81*a**2 - 10. Let u(n) = -n**3 + 2*n**2 + 6*n + 3. Let y be u(4). Let f(c) = y*h(c) + 3*i(c). Let j(z) = -z. Give j(f(v)).", "a": "43*v**2" }, { "q": "Suppose 17*x + 7*x - 214368 = 0. Let s(f) = -8932*f + x*f + 2*f**2. Let o(w) = 2*w**2 - 3. Let z(r) = -5*r**2 + 7. Let b(h) = 14*o(h) + 6*z(h). What is s(b(t))?", "a": "8*t**4" }, { "q": "Let k(o) = 58*o. Let p(b) = 27*b**2 + 250 - 250 - 14*b**2 - 15*b**2. Give k(p(h)).", "a": "-116*h**2" }, { "q": "Let j(u) = 9*u**2. Let c(i) = -55637*i**2 + 4. What is c(j(o))?", "a": "-4506597*o**4 + 4" }, { "q": "Let h(m) = m - 10*m - 6*m. Let s(t) be the second derivative of -19*t + 0*t**2 + 1/6*t**3 + 2. Calculate h(s(f)).", "a": "-15*f" }, { "q": "Let a(g) = 43*g - 197551. Let c(d) = d. Give a(c(t)).", "a": "43*t - 197551" }, { "q": "Let v(o) = 2*o. Let l(t) = -10*t - 41540. Determine v(l(u)).", "a": "-20*u - 83080" }, { "q": "Let b(v) = -v - 22. Let k(i) = -i - 22. Let r(y) = -2*b(y) + 3*k(y). Let s(p) be the third derivative of p**4/24 - 1299*p**2. What is s(r(a))?", "a": "-a - 22" }, { "q": "Let o(c) = 13*c**2 + 260*c. Let b(f) = 619*f. Determine b(o(m)).", "a": "8047*m**2 + 160940*m" }, { "q": "Let z(a) = 322578*a. Let t(r) = 14*r. Determine z(t(j)).", "a": "4516092*j" }, { "q": "Let t(m) = -20550*m**2. Let u(g) = 2*g - 48. Determine u(t(o)).", "a": "-41100*o**2 - 48" }, { "q": "Let l(r) = 27 + 95*r - 27 - 97*r. Let h(z) = -1243*z. Determine l(h(m)).", "a": "2486*m" }, { "q": "Let f(r) = r**2. Let d(p) be the first derivative of 2737*p**3/3 - 655. What is f(d(l))?", "a": "7491169*l**4" }, { "q": "Let f(t) be the first derivative of t**4/24 - 69*t**2/2 + 19. Let y(r) be the second derivative of f(r). Let i(g) = 7*g**2 - 3*g. Calculate i(y(z)).", "a": "7*z**2 - 3*z" }, { "q": "Let q(s) = s**2 - 3. Suppose 0 = 3*w - 10*f + 12*f + 15, 2*w = 2*f. Let i(t) = -2. Let b(z) = w*i(z) + 2*q(z). Let n(j) = 6*j**2. What is b(n(x))?", "a": "72*x**4" }, { "q": "Let b(z) be the second derivative of z**3/2 + 316*z**2 - 28*z + 21. Let i(w) = -2*w**2. Give b(i(r)).", "a": "-6*r**2 + 632" }, { "q": "Let g(r) = -7*r. Let f(y) = 1043000*y**2. What is g(f(c))?", "a": "-7301000*c**2" }, { "q": "Let i(a) = 2*a - 20. Let w(n) = 12916*n. Give i(w(d)).", "a": "25832*d - 20" }, { "q": "Let b(q) = -25266*q. Let d(c) = -5*c**2 - 41*c. Calculate b(d(h)).", "a": "126330*h**2 + 1035906*h" }, { "q": "Let r(l) = -l**2 + 10*l. Let n be (0 - 0)/(-26 + 24). Let p(y) = -2*y - y + n*y + 2*y. Determine r(p(t)).", "a": "-t**2 - 10*t" }, { "q": "Let b(i) = -i**2. Let y(p) = -96*p + 89 + 13*p + 81*p. Determine y(b(o)).", "a": "2*o**2 + 89" }, { "q": "Let v(d) = 2*d. Let w(p) = 47*p + 188. Let l(z) = -47 - 50 + 98. Let c(h) = -564*l(h) + 3*w(h). What is v(c(y))?", "a": "282*y" }, { "q": "Let u(d) be the third derivative of d**6/120 - 71*d**3/6 + d**2 + 35. Let n(s) be the first derivative of u(s). Let r(q) = -3*q. What is n(r(i))?", "a": "27*i**2" }, { "q": "Let y(j) = -680*j - 2. Let b(o) = 236*o. What is b(y(l))?", "a": "-160480*l - 472" }, { "q": "Let c(s) = 1531889*s**2. Let f(k) = -k. Give f(c(i)).", "a": "-1531889*i**2" }, { "q": "Let u(g) = -14*g + 4. Let z(p) be the third derivative of -p**3/6 - 20*p**2. Let o(x) = u(x) + 4*z(x). Let c(i) = -i. What is o(c(k))?", "a": "14*k" }, { "q": "Let m(t) = 476 + 222*t - 7*t**2 + 481 - 957 + 4*t**2. Let w(c) = c**2. Give m(w(d)).", "a": "-3*d**4 + 222*d**2" }, { "q": "Let o(n) = 0 + 2161*n + 0 - 2186*n. Let m(v) = -21*v**2. What is m(o(i))?", "a": "-13125*i**2" }, { "q": "Let v(f) = -9197*f**2 + 18018*f**2 - 9099*f**2. Let o(h) = 3*h. Give o(v(a)).", "a": "-834*a**2" }, { "q": "Let t(o) = o**2. Let q(f) = -5*f + 46. Let s be q(0). Let g(h) = -s*h + 46*h - 42*h**2. Let z(n) = -n**2. Let l(a) = -g(a) + 18*z(a). Give t(l(w)).", "a": "576*w**4" }, { "q": "Let m(s) = 1 - 1 - 14*s**2 + 2*s. Let i(o) = -43*o**2 + 2*o + 10*o**2 + 30*o**2 - 2*o. Calculate i(m(a)).", "a": "-588*a**4 + 168*a**3 - 12*a**2" }, { "q": "Let f(p) be the first derivative of -p**2/2 - 1330. Let h(u) = -1203*u. What is h(f(l))?", "a": "1203*l" }, { "q": "Let v(a) = 9*a**2 - 19*a + 4. Let n(c) = 73*c**2 - 150*c + 34. Let z(j) = 2*n(j) - 17*v(j). Let o(x) = -3*x. Give o(z(w)).", "a": "21*w**2 - 69*w" }, { "q": "Let l(g) be the second derivative of 1273*g**4/12 - 506*g - 1. Let x(k) = -2*k**2. Determine l(x(a)).", "a": "5092*a**4" }, { "q": "Let c(b) = b**2. Let v(p) = 11543328*p**2. Give c(v(j)).", "a": "133248421315584*j**4" }, { "q": "Let d(y) be the third derivative of 9*y**5/20 + 1437*y**2 + y. Let f(u) = 35*u. Give d(f(h)).", "a": "33075*h**2" }, { "q": "Let g(s) = 2*s. Let w(p) = -p. Let x(r) = 3*g(r) + 7*w(r). Let l(b) be the third derivative of 3*b**4/2 - 33*b**2 - 6. Give x(l(t)).", "a": "-36*t" }, { "q": "Let s(g) be the first derivative of 18*g**2 - 306. Let t(z) = 11*z. Calculate t(s(f)).", "a": "396*f" }, { "q": "Let q(u) be the second derivative of u**3/3 - 19*u. Let f(v) = -v. Let p(o) = -17*o - 5*o - 7*o + 7*o. Let h(m) = 5*f(m) - p(m). Calculate h(q(s)).", "a": "34*s" }, { "q": "Let b(z) = -16*z + 1. Let i(y) = 15*y**2 + 6*y + 3. Give b(i(m)).", "a": "-240*m**2 - 96*m - 47" }, { "q": "Let z(n) be the first derivative of -2/3*n**3 + 0*n + 0*n**2 + 3. Let v(x) be the second derivative of -7*x**3/2 + 2*x + 7. What is z(v(f))?", "a": "-882*f**2" }, { "q": "Let x(g) = -10*g**2. Suppose 5*p - 140 = 165. Let k(y) = -p*y - 63*y + 125*y. Calculate k(x(s)).", "a": "-10*s**2" }, { "q": "Let d(q) be the third derivative of 7*q**5/10 + 2*q**2 - 11*q. Let a(n) = 4*n. Give d(a(u)).", "a": "672*u**2" }, { "q": "Let b(d) = -5*d**2. Let x(s) be the second derivative of s**7/180 + s**4/6 + s**3/2 + 64*s. Let w(r) be the third derivative of x(r). Give b(w(y)).", "a": "-980*y**4" }, { "q": "Suppose 3*c - 5*y + 1 = 2*c, -3*y - 30 = -4*c. Suppose 7*f = 2*f + 40. Let i(p) = -c*p + f*p - p. Let t(w) = 2*w. Calculate i(t(k)).", "a": "-4*k" }, { "q": "Let q(a) be the third derivative of 0 - 25*a + 1/60*a**5 + 2*a**2 + 0*a**4 + 17/6*a**3. Let n(x) = x. Give q(n(k)).", "a": "k**2 + 17" }, { "q": "Let f(j) = 22025*j - 44731*j + 22065*j. Let a(u) = u. Give f(a(q)).", "a": "-641*q" }, { "q": "Let i(t) = -105*t + 54*t + 58*t - 5*t**2 + 15*t**2. Let m(d) = -3*d**2 - 2*d. Let b(y) = -2*i(y) - 7*m(y). Let n(s) = 104*s. Calculate n(b(h)).", "a": "104*h**2" }, { "q": "Let t(v) = -134*v**2. Let o(s) = -21226*s. Give t(o(b)).", "a": "-60372772184*b**2" }, { "q": "Let v(w) be the second derivative of -w**4/6 - 1439*w. Suppose 23 + 17 = 5*m. Let b(k) = -m*k - 9*k - k. What is b(v(i))?", "a": "36*i**2" }, { "q": "Let n(r) = -2*r**2. Let h(q) be the third derivative of q**5/60 - q**4/6 - 19*q**3/2 + 44*q**2. Let j(g) be the first derivative of h(g). What is j(n(z))?", "a": "-4*z**2 - 4" }, { "q": "Let r(x) = -8*x + 29. Let y(o) = -76*o + 6. Let h(a) = 89*a - 7. Let v(d) = 6*h(d) + 7*y(d). Calculate v(r(s)).", "a": "-16*s + 58" }, { "q": "Let q(n) = -3*n + 13*n + 2*n. Let l(o) = 305*o - 614*o + 312*o. Give l(q(r)).", "a": "36*r" }, { "q": "Let v(w) = -2*w. Let n(k) = -549*k + 1120*k - 571*k - 1400*k**2. Determine n(v(p)).", "a": "-5600*p**2" }, { "q": "Let y(l) = -l**2. Let m(u) = 14897760*u. Determine m(y(d)).", "a": "-14897760*d**2" }, { "q": "Let d(n) = -n. Let m(c) = 73*c - 728. Let a be m(10). Let v(r) be the second derivative of -11*r + 0*r**a + 0 + 7/6*r**3. What is d(v(z))?", "a": "-7*z" }, { "q": "Let o(p) = 1500*p**2. Let y(z) = 40*z. Let h(c) = -17*c. Let r(t) = 7*h(t) + 3*y(t). Determine r(o(l)).", "a": "1500*l**2" }, { "q": "Let c(d) = d**2. Let g(k) = -12692*k - 12665*k + 26248*k. Calculate g(c(l)).", "a": "891*l**2" }, { "q": "Let t(z) = z**2. Let i(x) = x - 8. Let g be i(11). Suppose 5*o - 332 = -5*s - 82, s - 50 = -g*o. Let p(u) = s*u - 47*u + 27*u. Calculate t(p(d)).", "a": "900*d**2" }, { "q": "Let t(l) = -1922697*l. Let d(u) = 4*u. Calculate t(d(n)).", "a": "-7690788*n" }, { "q": "Let g(t) be the second derivative of 1 - 13/6*t**3 + 16*t + 0*t**2. Let l(r) be the third derivative of r**5/60 - r**2. What is g(l(x))?", "a": "-13*x**2" }, { "q": "Let k(m) = 43*m. Let c(z) be the second derivative of -z**3/3 + 13*z**2 - 15*z + 14. Give c(k(i)).", "a": "-86*i + 26" }, { "q": "Let u(m) = 105*m + 6. Let j(y) = 951*y. Determine u(j(s)).", "a": "99855*s + 6" }, { "q": "Let a(w) = 3*w**2. Let s(y) be the first derivative of y**2/2 - 149*y - 763. Give a(s(j)).", "a": "3*j**2 - 894*j + 66603" }, { "q": "Let c(g) = -10*g - 1. Let s(a) = -204291*a**2. Give c(s(b)).", "a": "2042910*b**2 - 1" }, { "q": "Let r(j) = 250003*j. Let w(k) = -9*k. Give w(r(t)).", "a": "-2250027*t" }, { "q": "Let k(d) = 1. Let c(y) = 4*y**2 - 5. Let n(x) = -c(x) - 5*k(x). Let t(j) be the third derivative of 0*j + 16*j**2 + 1/8*j**4 + 0*j**3 + 0. Give t(n(p)).", "a": "-12*p**2" }, { "q": "Let b(o) = -2*o. Let t(k) = 11*k**2 + 42*k - 65. Let d be t(-5). Let p(m) be the second derivative of 0*m**2 - 7*m + 0 - 3/2*m**4 + d*m**3. Calculate b(p(n)).", "a": "36*n**2" }, { "q": "Let r(v) = 12*v. Let c(x) = -270563*x. What is c(r(f))?", "a": "-3246756*f" }, { "q": "Let b(q) = -1 - 26399*q + 26398*q + 1. Let x(o) = -2*o - 268. Calculate x(b(h)).", "a": "2*h - 268" }, { "q": "Let b(j) = -6*j**2. Let q(n) = 254454*n. Calculate q(b(p)).", "a": "-1526724*p**2" }, { "q": "Let p(m) = 86*m**2. Let z(w) = 208395*w**2. Calculate z(p(o)).", "a": "1541289420*o**4" }, { "q": "Let x(d) = -82*d + 56. Let l(k) = k - 7. Let n(b) = -24*l(b) - 3*x(b). Let a(s) = -s. Calculate n(a(o)).", "a": "-222*o" }, { "q": "Let t(o) = -10*o**2 + 3*o - 11. Let m(c) = -3*c**2 + c - 4. Let g(a) = -11*m(a) + 4*t(a). Let y(z) = -4*z**2. Give y(g(v)).", "a": "-196*v**4 + 56*v**3 - 4*v**2" }, { "q": "Let r(u) be the second derivative of u**3/6 + 2*u - 56. Let f(s) = 4*s**2 + 17*s. Give r(f(v)).", "a": "4*v**2 + 17*v" }, { "q": "Let g(d) = 8*d**2 - 56*d - 56. Let h(y) = -y**2 + 6*y + 6. Let z(w) = -3*g(w) - 28*h(w). Let a(b) = -220*b**2. Give z(a(x)).", "a": "193600*x**4" }, { "q": "Let f(p) be the first derivative of -2/3*p**3 - 8 + 0*p + 48*p**2. Let b(i) = -i**2. Determine b(f(s)).", "a": "-4*s**4 + 384*s**3 - 9216*s**2" }, { "q": "Let a(g) = 26*g. Let m(f) = 8. Let b(c) = 2*c - 16. Let p(t) = -b(t) - 2*m(t). Determine a(p(r)).", "a": "-52*r" }, { "q": "Let v(g) = 13*g. Let c(z) = 76*z - 163*z + 73*z. Give c(v(f)).", "a": "-182*f" }, { "q": "Let g(j) = -1. Let p(y) = y**2 - 39. Let c(a) = -g(a) + p(a). Let f(b) be the first derivative of c(b). Let r(q) = 7*q**2. What is r(f(m))?", "a": "28*m**2" }, { "q": "Let z(a) = 3*a - 27066. Let g(y) = -14*y**2. Give z(g(j)).", "a": "-42*j**2 - 27066" }, { "q": "Let l(x) = -63*x**2. Let s(w) = -191*w. Let m(y) = 37*y. Let p(n) = -31*m(n) - 6*s(n). Give l(p(o)).", "a": "-63*o**2" }, { "q": "Let k(p) = -83455*p**2 + 6. Let y(x) = -3*x. What is y(k(o))?", "a": "250365*o**2 - 18" }, { "q": "Let i(o) = -5392*o. Let j(m) = -2*m**2 - 287*m. What is j(i(a))?", "a": "-58147328*a**2 + 1547504*a" }, { "q": "Let q(w) be the second derivative of -w**6/360 + w**3/6 - 10*w. Let x(g) be the second derivative of q(g). Let n(o) = 13*o - 6*o - 9*o. Give x(n(u)).", "a": "-4*u**2" }, { "q": "Let m(c) = -c**2. Let w(z) be the second derivative of 0 + 1/3*z**4 + 57*z + 0*z**2 + 0*z**3. What is w(m(j))?", "a": "4*j**4" }, { "q": "Let f = 33 - 23. Suppose 56 = f*d - 8*d. Let y(n) = -d + 7*n + 28. Let w(l) = -4*l**2. What is y(w(b))?", "a": "-28*b**2" }, { "q": "Let c(j) = 7*j**2. Suppose 149*s - 73*s - 85*s = -153. Let b(i) be the second derivative of -5/12*i**4 + 0 + s*i + 0*i**2 + 0*i**3. Give b(c(p)).", "a": "-245*p**4" }, { "q": "Let k(d) = -170*d. Let u(b) = -3366*b**2 + 4*b. Determine k(u(i)).", "a": "572220*i**2 - 680*i" }, { "q": "Let p(g) = 3*g + 8*g + 9*g + 2*g. Let t(r) = 824 - 536 + 2*r - 288. Calculate t(p(q)).", "a": "44*q" }, { "q": "Let w = -10 + 16. Let o(l) = 8*l + w*l - 7*l. Let a(c) be the third derivative of -c**5/30 + 13*c**2 - 29. Give a(o(y)).", "a": "-98*y**2" }, { "q": "Let i(n) = n**2 - 3. Let d be i(4). Let y(g) = -d*g - 18*g - g**2 + 31*g. Let o(u) = 5*u. Give y(o(w)).", "a": "-25*w**2" }, { "q": "Let q(v) = 12*v**2 - 7. Let t(a) = -2452*a - 2446*a + 4899*a. Calculate q(t(z)).", "a": "12*z**2 - 7" }, { "q": "Let a(b) be the third derivative of 0*b + 0*b**3 - 1/12*b**5 + 65*b**2 + 0*b**4 + 0. Let w(r) = -r. What is a(w(h))?", "a": "-5*h**2" }, { "q": "Let t(q) be the second derivative of -q**3/6 + q. Suppose 175*h - 179*h = -120. Let g(a) = h*a**2 + 24 + 15 - 39. Give t(g(k)).", "a": "-30*k**2" }, { "q": "Let g(s) = 17*s. Let y(q) = 144*q - 45. Give y(g(b)).", "a": "2448*b - 45" }, { "q": "Let t(f) = f**3 - 5*f**2 + 7*f - 7. Let y be t(4). Suppose -3*x - 3*h - 5 - 1 = 0, 5*x - 40 = y*h. Let r(s) = -x*s - 29 + 29. Let j(q) = -8*q. Give j(r(l)).", "a": "24*l" }, { "q": "Let l(y) be the second derivative of -2*y**3/3 + 73*y. Let g(a) = a + 11*a + 2*a. Give l(g(k)).", "a": "-56*k" }, { "q": "Let t(g) = 453*g. Let a(n) = -5*n**2 - 4*n + 2. Let i(m) = -12*m**2 - 10*m + 5. Let c(w) = -5*a(w) + 2*i(w). Give c(t(b)).", "a": "205209*b**2" }, { "q": "Let p(x) = 8*x**2. Suppose 1760 - 482 = 142*h. Let c(r) be the third derivative of 0*r + 0 + 0*r**4 - h*r**2 + 0*r**3 + 1/60*r**5. Calculate p(c(t)).", "a": "8*t**4" }, { "q": "Let i(r) = 304067*r. Let n(d) = 5*d. What is n(i(c))?", "a": "1520335*c" }, { "q": "Let b(y) = 14363*y**2 - 14384*y**2 + 0 + 0. Let n(f) = -3*f**2 - 1. Calculate b(n(h)).", "a": "-189*h**4 - 126*h**2 - 21" }, { "q": "Let x(t) = -9*t - 101. Let f(q) be the first derivative of -2*q**3/3 - 822. Calculate f(x(l)).", "a": "-162*l**2 - 3636*l - 20402" }, { "q": "Let t(a) = a**2 + 6*a. Let c(h) = 9*h**2 + 59*h. Let x(l) = -2*c(l) + 22*t(l). Let k(o) = -4*o. Give x(k(w)).", "a": "64*w**2 - 56*w" }, { "q": "Let n = 168 - 72. Let l(t) = 47*t - n*t + 47*t. Let s(c) = -24*c - 4 - 4 + 8. What is l(s(a))?", "a": "48*a" }, { "q": "Let d(u) = -28*u. Let g(m) be the third derivative of -m**5/4 - 2*m**3/3 + 270*m**2. Calculate g(d(i)).", "a": "-11760*i**2 - 4" }, { "q": "Let i(w) = w**2 + w. Let u(h) = 0*h - h + 3*h - 4*h - 3*h**2. Let m(z) = 6*i(z) + 3*u(z). Let f(v) = -3*v. Give f(m(n)).", "a": "9*n**2" }, { "q": "Let r(q) = -50337*q + 23265. Let c(h) = 143*h - 66. Let z(t) = 705*c(t) + 2*r(t). Let l(o) = o. Calculate l(z(p)).", "a": "141*p" }, { "q": "Let n(v) = -160*v + 1442. Let x be n(9). Let p(k) be the first derivative of -1/2*k**x + 0*k - 5. Let d(j) = 2*j. Determine p(d(q)).", "a": "-2*q" }, { "q": "Let f(x) = 1204*x**2 - 60*x - 20. Let v(k) = -172*k**2 + 9*k + 3. Let y(z) = -3*f(z) - 20*v(z). Let g(r) = 6*r. Give y(g(j)).", "a": "-6192*j**2" }, { "q": "Let c(w) = 3*w**2 - 2*w - 2. Let a(l) = 8*l**2 - 7*l - 7. Let d(s) = -2*a(s) + 7*c(s). Let i(z) be the second derivative of -5*z**4/12 - 15*z. What is d(i(m))?", "a": "125*m**4" }, { "q": "Let u(y) = 28 + 17 + 7*y + 11 - 56. Let h(x) = 2*x - 12. Determine u(h(v)).", "a": "14*v - 84" }, { "q": "Let n(f) = -257*f - 12. Let p(g) = 5*g + 2. Let w(o) = n(o) + 6*p(o). Let z(u) = -2*u**2. What is w(z(l))?", "a": "454*l**2" }, { "q": "Let v(m) = -m**2. Let p(w) be the second derivative of 0 + 52*w - 5/6*w**3 + 0*w**2. Calculate v(p(f)).", "a": "-25*f**2" }, { "q": "Let i(g) = -111*g**2 + 2. Let d(z) be the first derivative of 9*z**2/2 + 1552. Determine i(d(x)).", "a": "-8991*x**2 + 2" }, { "q": "Let b(q) = 19*q. Let x(k) = -8*k**2 + 14*k. Let i(v) = v**2 + 8*v + 8. Let s be i(-3). Let h(n) = 7*n**2 - 12*n. Let z(a) = s*h(a) - 6*x(a). Give b(z(t)).", "a": "-19*t**2" }, { "q": "Let d = 34 - 51. Let m(x) = -x + 6. Let v(t) = -3*t + 17. Let f(p) = d*m(p) + 6*v(p). Let w(r) = -11565*r - 11560*r + 23128*r. Determine f(w(q)).", "a": "-3*q" }, { "q": "Suppose -5*g = j - 31 + 4, -15 = -g - 5*j. Let z(c) be the first derivative of 0*c**2 + g - 1/3*c**3 + 0*c. Let d(x) = 2*x**2. Calculate d(z(m)).", "a": "2*m**4" }, { "q": "Let x(w) = 2*w**2 + 23. Suppose 2*v = 3*h + 2, -h - 4*v = v - 22. Let s(q) = 53*q**2 + 45*q**h - 96*q**2. What is s(x(c))?", "a": "8*c**4 + 184*c**2 + 1058" }, { "q": "Let w(m) be the second derivative of 0 + 0*m**3 + 5/12*m**4 + 3*m + 0*m**2. Let x(p) be the first derivative of 5*p**2/2 - 1115. What is x(w(r))?", "a": "25*r**2" }, { "q": "Let p = -94 + 117. Let l(g) = -42 + 19 - 2*g + p. Let m(n) = -78*n. Calculate m(l(h)).", "a": "156*h" }, { "q": "Let y(k) = 6*k. Let z(p) = -3513692*p**2. Calculate y(z(h)).", "a": "-21082152*h**2" }, { "q": "Let n(z) = 12189*z**2 + 2*z + 2. Let h(l) = -50*l. Determine n(h(d)).", "a": "30472500*d**2 - 100*d + 2" }, { "q": "Let t(w) = 14692*w + 197. Let j(u) = -2*u**2. Give t(j(k)).", "a": "-29384*k**2 + 197" }, { "q": "Let f(l) = 2*l. Let b(q) = 14204286*q**2. Determine f(b(h)).", "a": "28408572*h**2" }, { "q": "Let d be ((-345)/(-40))/(6/8)*2. Let b = 24 - d. Let x(n) = -21*n**2 - 1 + 22*n**2 + b. Let a(i) = 7*i**2. Determine a(x(j)).", "a": "7*j**4" }, { "q": "Let l(r) = 3*r**2. Let m(w) = 770416*w. Give m(l(v)).", "a": "2311248*v**2" }, { "q": "Let h(w) = -w**2 - 2*w + 1. Let x(q) = -247*q**2 - 546*q + 273. Let s(b) = 1092*h(b) - 4*x(b). Let c(p) = 8*p**2. What is c(s(k))?", "a": "86528*k**4" }, { "q": "Let a(t) = 19412506*t. Let q(l) = 2*l**2. Calculate q(a(p)).", "a": "753690778400072*p**2" }, { "q": "Let l(v) = v**2. Let s(d) be the second derivative of 3*d**5/8 + 3*d**3/2 + 6*d + 2. Let b(g) be the second derivative of s(g). Determine l(b(w)).", "a": "2025*w**2" }, { "q": "Let r(b) = 5*b. Let i(y) = -2*y + 12. Let u be i(5). Let d(p) = 3*p + 1. Let h be d(u). Let s(t) = -34 + h*t + 34. Determine s(r(z)).", "a": "35*z" }, { "q": "Let p(i) = 156*i. Let k(u) = 2*u. Let g(x) = -15*x. Let b(t) = -7*t - 105. Let d be b(-13). Let s(r) = d*k(r) - 2*g(r). Give p(s(m)).", "a": "312*m" }, { "q": "Let k(f) = -4253*f - 2. Let o(x) = -416*x. What is o(k(s))?", "a": "1769248*s + 832" }, { "q": "Let d(m) = 2*m**3 - 8*m**2 + 9*m. Let k be d(2). Let g(u) = 193 + 2*u**k + 191 - 384. Let b(n) = -13*n. Give b(g(f)).", "a": "-26*f**2" }, { "q": "Let i(b) = 63*b**2. Let z(t) be the first derivative of -9*t**2/2 - 20. Determine i(z(y)).", "a": "5103*y**2" }, { "q": "Let k(v) = -196*v**2 + 26*v. Let r(w) = -987*w**2. Calculate k(r(o)).", "a": "-190937124*o**4 - 25662*o**2" }, { "q": "Let c(x) = 1 - 1 + 2*x. Suppose 6*m = 4*q + 2*m - 4, 0 = -3*q - 4*m + 10. Let n(j) = -5*j**q + 549*j + 4*j**2 - 549*j. What is n(c(l))?", "a": "-4*l**2" }, { "q": "Let g(f) = -f**2. Let z = 260 - 219. Let c(p) = -z*p + 195 - 195. Calculate c(g(l)).", "a": "41*l**2" }, { "q": "Let t(i) = -13*i + 644. Let v(x) = 11*x. Give t(v(k)).", "a": "-143*k + 644" }, { "q": "Let h(f) = -2898*f. Let y(d) = -d**2 + 3811. Give y(h(z)).", "a": "-8398404*z**2 + 3811" }, { "q": "Let c(o) = -5*o**2. Let b(n) = 1154976*n. Determine b(c(u)).", "a": "-5774880*u**2" }, { "q": "Let n(h) = 3*h**2. Suppose -9*k = -2*w - 8*k - 2, 5*w = -3*k + 6. Let z(o) be the second derivative of 0*o**3 + 1/12*o**4 + 0*o**2 + o + w. Calculate z(n(p)).", "a": "9*p**4" }, { "q": "Let y(d) = d**2. Let h(x) = -26462088*x. Give y(h(l)).", "a": "700242101319744*l**2" }, { "q": "Let a(h) = -28*h + 7. Let b(z) = -292*z - 2. What is a(b(y))?", "a": "8176*y + 63" }, { "q": "Let f(l) = 1 - 1 + 2*l**2. Let y(k) = -224*k + 203*k + 12*k + 6*k - 11*k**2. Determine f(y(q)).", "a": "242*q**4 + 132*q**3 + 18*q**2" }, { "q": "Let c(n) = n**2. Let h(y) = 104*y**2 - 9972*y. What is h(c(r))?", "a": "104*r**4 - 9972*r**2" }, { "q": "Let f(y) = -57*y + 168 - 168. Let s(j) = 2*j + 15. Let p(d) = 3*d + 24. Let z(l) = -5*p(l) + 8*s(l). Give z(f(t)).", "a": "-57*t" }, { "q": "Let u(d) be the third derivative of 47*d**4/12 - 4*d**2 - 3*d. Let f(v) = -2*v**2. Give u(f(m)).", "a": "-188*m**2" }, { "q": "Suppose 123 = -2*y + 37. Let o(b) = 46*b**2 - 3*b + 6. Let v(q) = -645*q**2 + 43*q - 86. Let d(a) = y*o(a) - 3*v(a). Let w(u) = 2*u**2. What is d(w(k))?", "a": "-172*k**4" }, { "q": "Let h(f) = 3*f**2. Let l(z) = -93*z**2 + 6*z + 959. Give l(h(a)).", "a": "-837*a**4 + 18*a**2 + 959" }, { "q": "Let q(y) = -4*y. Let x(c) be the first derivative of 364*c**2 + 806. Give q(x(h)).", "a": "-2912*h" }, { "q": "Let l(k) = k + k - 4*k. Suppose 0 = 6*a - 20*a + 112. Let j(v) = 3*v - 33*v + a*v. Calculate j(l(x)).", "a": "44*x" }, { "q": "Let x(h) = -707*h. Let f(o) = 427083*o**2 - 427087*o**2 - 4 + 4. Determine f(x(u)).", "a": "-1999396*u**2" }, { "q": "Let u(v) = 20*v - 7. Let i(x) = 6*x - 2. Let f(q) = 7*i(q) - 2*u(q). Let d(y) = 2*y. Let r(t) = -2*d(t) + f(t). Let k(z) = 21*z**2. Determine k(r(l)).", "a": "84*l**2" }, { "q": "Let c(v) = -v**2 + 807182. Let p(h) = 4*h. What is p(c(g))?", "a": "-4*g**2 + 3228728" }, { "q": "Let t(w) = -176*w. Let c(a) = 2*a**2 + 2*a**2 - a**2 - a**2. Calculate c(t(d)).", "a": "61952*d**2" }, { "q": "Let m(k) be the first derivative of k**4/12 - 38*k + 10. Let l(h) be the first derivative of m(h). Let n(s) = -6*s**2. Give l(n(f)).", "a": "36*f**4" }, { "q": "Let v(j) = -j. Let n(d) = -3*d. Let b(c) = 2*n(c) - 5*v(c). Let g(r) be the third derivative of 31*r**5/15 - 10331*r**2. Determine b(g(z)).", "a": "-124*z**2" }, { "q": "Let s(c) = -19*c + 19*c - 2*c**2. Let z(u) = 542*u**2 - 3*u - 10*u - 543*u**2 + u. Give s(z(y)).", "a": "-2*y**4 - 48*y**3 - 288*y**2" }, { "q": "Let u(z) be the first derivative of -3*z**2 + 618. Let h(q) = -3*q. Determine h(u(i)).", "a": "18*i" }, { "q": "Let p(v) = -2334*v. Let r(m) = -2*m**2 + 2012*m. Give p(r(w)).", "a": "4668*w**2 - 4696008*w" }, { "q": "Let j(g) = 5*g**2 - 3*g - 6. Let u(o) = -11*o**2 + 5*o + 10. Let c(q) = 10*j(q) + 6*u(q). Let w(b) = -23*b**2. Give w(c(d)).", "a": "-5888*d**4" }, { "q": "Let p(o) be the first derivative of -17*o**3/3 + 5. Let k(u) be the third derivative of 0*u + 0*u**4 + 11*u**2 + 0 + 0*u**3 + 1/20*u**5. Calculate k(p(s)).", "a": "867*s**4" }, { "q": "Let x(g) = 2*g. Suppose 0 = -2*v + 147 + 171. Let q(d) = 156*d - 2 - 314*d + v*d. Give x(q(w)).", "a": "2*w - 4" }, { "q": "Let i(b) = 200*b. Let o(n) = 4912*n**2 + 4914*n**2 - 9834*n**2. Determine i(o(z)).", "a": "-1600*z**2" }, { "q": "Let d(m) = -m**2 - 29. Let s(v) be the third derivative of -1/60*v**5 + 0 + 0*v**4 - 40*v**2 + 0*v + 0*v**3. Determine d(s(l)).", "a": "-l**4 - 29" }, { "q": "Let h(x) = 2*x. Let n(b) be the second derivative of 444*b**3 - b - 534. Give n(h(l)).", "a": "5328*l" }, { "q": "Let z(u) = -17*u**2. Let k(i) = 15*i**2. Suppose 112 - 88 = -4*m. Let r(j) = m*k(j) - 4*z(j). Let h(g) = 2*g. What is r(h(f))?", "a": "-88*f**2" }, { "q": "Let d(t) = 47727*t. Let v(i) = -90*i. What is v(d(n))?", "a": "-4295430*n" }, { "q": "Let h(s) = -66*s**2. Let a(m) = 7*m**2 - 23*m**2 + 7*m**2 + 0*m**2 + 7*m**2. Give a(h(x)).", "a": "-8712*x**4" }, { "q": "Let h(c) be the first derivative of 1/3*c**4 + 0*c**3 + 15 + 6*c**2 + 0*c. Let p(m) be the second derivative of h(m). Let g(l) = -2*l. What is g(p(w))?", "a": "-16*w" }, { "q": "Let r(f) = 4*f. Let a(w) = 1287 - 2584 + 66*w + 1292. What is r(a(y))?", "a": "264*y - 20" }, { "q": "Let o(g) = -4*g + 1. Let a(y) be the third derivative of 1/8*y**4 + 0*y + 0*y**3 + 0 + 69*y**2. What is o(a(u))?", "a": "-12*u + 1" }, { "q": "Let h(d) = -d. Let o(n) be the second derivative of -n**4/6 - 559*n. Calculate h(o(q)).", "a": "2*q**2" }, { "q": "Let s be 10/4 + (-289)/(-34). Let w(q) = -13*q. Let f(m) = 7*m. Let g(u) = s*f(u) + 6*w(u). Let l(b) = 15*b**2. What is l(g(k))?", "a": "15*k**2" }, { "q": "Let p(u) = -u + 2. Let k(j) = j + 4. Let v(x) = -k(x) + 2*p(x). Let m(w) = 264*w. What is m(v(a))?", "a": "-792*a" }, { "q": "Let p(a) = 2*a + 1921 - 1921 + a. Let l(u) = -1016*u. Give p(l(s)).", "a": "-3048*s" }, { "q": "Let z(w) = -w**3 + 21*w**2 - 20*w + 2. Let i be z(20). Let g(t) = 9*t**i + 5*t**2 + 4*t**2. Let p(j) = 3*j. What is p(g(n))?", "a": "54*n**2" }, { "q": "Let i(g) be the second derivative of -g**6/720 + 17*g**4/4 - 77*g. Let u(b) be the third derivative of i(b). Let o(n) = -10*n. Calculate u(o(k)).", "a": "10*k" }, { "q": "Let p(g) = -3*g + g**2 - 4*g + 2 - 6*g + 4*g. Let s be p(9). Let l(n) = n**2 - 6*n**2 + 4*n**2 + s*n**2. Let a(y) = -2*y**2. Determine l(a(k)).", "a": "4*k**4" }, { "q": "Let q(l) = 5855*l - 19. Let m(u) = -6*u. What is q(m(o))?", "a": "-35130*o - 19" }, { "q": "Let c(k) = 8*k**2 - 6*k. Let t(z) be the third derivative of -z**5/20 - 1354*z**2. What is c(t(x))?", "a": "72*x**4 + 18*x**2" }, { "q": "Let h(x) = -x**2 + 231167. Let w(g) = 20*g. Determine h(w(j)).", "a": "-400*j**2 + 231167" }, { "q": "Let g(l) = -150 + 150 - l. Let q(n) = -7*n + 1. Let i(m) = 30*m - 5. Let p(a) = -2*i(a) - 9*q(a). Give p(g(u)).", "a": "-3*u + 1" }, { "q": "Suppose -6*v = 5*x - 17, 2 = -v - 0*x + 4*x. Let b(h) be the second derivative of 1/4*h**4 + 0*h**v + 0 + 0*h**3 + 12*h. Let a(p) = p**2. Calculate b(a(t)).", "a": "3*t**4" }, { "q": "Let q(g) = -12*g + 8*g - 7*g - g. Let i(l) = -2*l + 2. Let n(d) = -4*d + 5. Let f = -1 - -6. Let w(u) = f*i(u) - 2*n(u). Determine w(q(y)).", "a": "24*y" }, { "q": "Let y(l) = 17*l + 2. Let s(z) = 120*z**2 + 4*z - 119. What is s(y(v))?", "a": "34680*v**2 + 8228*v + 369" }, { "q": "Let u(q) = q**3 + 7*q**2 + 6*q + 5. Let s be u(-6). Let v(t) = 22*t + s - 5 - 19*t. Let j(h) = -7*h**2. What is v(j(p))?", "a": "-21*p**2" }, { "q": "Let q(p) be the second derivative of -16*p + 0 - 1/2*p**2. Let s(c) = -c - 3. Let i(x) = -6*q(x) + 2*s(x). Let a(v) = 18*v**2. Calculate a(i(j)).", "a": "72*j**2" }, { "q": "Let i(r) = 2*r**2. Let w(l) = 475*l**2 - 493*l**2 + 738*l**2 + 1615*l**2. Determine w(i(z)).", "a": "9340*z**4" }, { "q": "Let d(l) be the third derivative of -l**5/60 + 7*l**4/12 - 4*l**3 - 8*l**2. Let z be d(11). Let q(p) = 8*p + 6*p + z*p + 3*p. Let i(c) = -2*c. What is i(q(x))?", "a": "-52*x" }, { "q": "Let c(r) = r. Let j(o) = 17673926*o. Give c(j(h)).", "a": "17673926*h" }, { "q": "Let l(i) = 268*i + 1250*i - 124*i. Let x(w) = -45*w. Let q(u) = -4*l(u) - 123*x(u). Let k(c) = -c. Give k(q(s)).", "a": "41*s" }, { "q": "Let p(n) = n**3 + 20*n**2 + 18*n. Let y be p(-19). Let s(z) = -19 + 9*z + y - 4*z. Let c(t) be the second derivative of -t**3/2 - 3*t. Give s(c(v)).", "a": "-15*v" }, { "q": "Let f(x) = -3*x**2. Let t be ((-16)/(-2) - 8)/(15/(-5)). Let p(u) be the second derivative of -7*u + 0 + 5/3*u**3 + t*u**2. What is p(f(m))?", "a": "-30*m**2" }, { "q": "Let y(a) = -26*a**2 + a + 3. Let c(h) = -56*h**2 + h + 4. Let w(o) = 3*c(o) - 4*y(o). Let q(r) = -r. Determine w(q(d)).", "a": "-64*d**2 + d" }, { "q": "Suppose 8*w + 2 = 34. Let r(z) = -z**2 + 0 + 4 - w. Let m(x) = 14*x. What is m(r(i))?", "a": "-14*i**2" }, { "q": "Let m(c) = 4 + 10 + 4*c - 14. Let h = -10 + 15. Let p(w) = 4*w**2 + h*w**2 - 3*w**2 - 3*w**2. What is m(p(y))?", "a": "12*y**2" }, { "q": "Let j(h) = 2*h**2. Let o(q) be the second derivative of -q**3 - 658*q. Calculate j(o(n)).", "a": "72*n**2" }, { "q": "Let j(t) = -5*t**2 - 12*t. Let d(h) = h**2 + 2*h. Let f(r) = 6*d(r) + j(r). Let z(o) = 0 - 6 + 6 + 19*o**2. Calculate f(z(q)).", "a": "361*q**4" }, { "q": "Let n(s) be the first derivative of -3 + 2*s**2 + 4 - 2. Let j(y) = -10716*y - 10725*y + 21436*y. What is n(j(p))?", "a": "-20*p" }, { "q": "Let n(j) = 44*j**2 + 43120. Let v(b) = -6*b. Calculate n(v(h)).", "a": "1584*h**2 + 43120" }, { "q": "Let x(g) = -34*g + 24*g - 25*g + 12*g - 48*g. Let b(o) = 2 - 2 + o. Determine x(b(k)).", "a": "-71*k" }, { "q": "Let h(a) = -4*a - 16. Let g(l) = 2*l + 9. Let f(y) = 16*g(y) + 9*h(y). Let t(p) = -3*p**2. Give f(t(o)).", "a": "12*o**2" }, { "q": "Let f(g) = 1 + 74*g**2 - 339*g**2 - 1 + 2535*g**2. Let x(i) = 2*i**2. Determine x(f(j)).", "a": "10305800*j**4" }, { "q": "Let w(g) = -31*g**2. Let r(m) = -537*m**2 + 209*m**2 + 272*m**2. What is r(w(k))?", "a": "-53816*k**4" }, { "q": "Let p(h) = 14*h**2 - 8*h + 24. Let c(d) = -5*d**2 + 3*d - 9. Let j(g) = -8*c(g) - 3*p(g). Let q(l) = -3*l**2 - 158*l. Determine q(j(a)).", "a": "-12*a**4 + 316*a**2" }, { "q": "Suppose -44*j + 40*j = -12700. Let t(w) = -j - 3*w + 3175. Let g(o) = 2*o**2. Determine g(t(h)).", "a": "18*h**2" }, { "q": "Let k(r) be the third derivative of 7*r**4/24 - r**2. Let h = -63 - -65. Let j(w) = -359*w**h + 717*w**2 - 361*w**2. Give j(k(b)).", "a": "-147*b**2" }, { "q": "Let f(r) be the third derivative of -31*r**5/15 + r**3/3 + 1628*r**2. Let s(b) = -3*b. What is s(f(p))?", "a": "372*p**2 - 6" }, { "q": "Let r(c) = -221*c**2 + 11*c + 4. Let d(z) = -442*z**2 + 27*z + 10. Let s(g) = -2*d(g) + 5*r(g). Let f(h) = -4*h**2. Determine s(f(p)).", "a": "-3536*p**4 - 4*p**2" }, { "q": "Let w(i) = 18*i**2. Let j(n) be the second derivative of -13*n - 3*n**2 + 0 + 0*n**3 + 1/12*n**4. Let a(u) be the first derivative of j(u). Give a(w(y)).", "a": "36*y**2" }, { "q": "Let a(y) = 4965*y. Let t(u) = -82*u. Calculate t(a(m)).", "a": "-407130*m" }, { "q": "Let r(l) = -9*l + l + 52 - 22 - 32. Let t(c) = -36*c. What is t(r(h))?", "a": "288*h + 72" }, { "q": "Let x(b) = 2*b. Let c = 147 - 147. Let n(g) = 10*g + c*g + 10 - 10. Determine x(n(p)).", "a": "20*p" }, { "q": "Let w(m) = 3 + 30*m**2 - 1 - 4 - 1. Let a(u) be the second derivative of -u**3/3 + 207*u. What is w(a(p))?", "a": "120*p**2 - 3" }, { "q": "Let b(k) = 21*k + 2. Suppose 5*u = 17979 + 12921. Let r(h) = 2*h - 6180 + u. Calculate r(b(i)).", "a": "42*i + 4" }, { "q": "Let r(m) = 4*m. Let n(d) be the second derivative of -2*d**5/15 + 24*d**2 - 3*d - 5. Let x(f) be the first derivative of n(f). Calculate x(r(o)).", "a": "-128*o**2" }, { "q": "Let v(l) = 2*l. Let n(g) = -10*g - 54640. Determine n(v(m)).", "a": "-20*m - 54640" }, { "q": "Let i(z) = -z. Let q(v) = -154064*v**2. Calculate q(i(j)).", "a": "-154064*j**2" }, { "q": "Let q(n) = 6*n + 3. Suppose 7*u - 29 = -8. Let d(a) = 6*a + 2. Let y(z) = u*d(z) - 2*q(z). Let m(r) = 19*r**2. What is m(y(v))?", "a": "684*v**2" }, { "q": "Let a(n) = -2*n - 784. Let i(x) = 4*x**2 - 438. Give a(i(f)).", "a": "-8*f**2 + 92" }, { "q": "Let y(v) = -11*v**2 - 8. Let p(z) = 17*z - 115. Let w(s) = -60*s + 414. Let d(o) = 18*p(o) + 5*w(o). Calculate y(d(g)).", "a": "-396*g**2 - 8" }, { "q": "Let f(w) = -20*w. Suppose -4*b = -3*q + b + 611, -5*b + 374 = 2*q. Let h(l) = 395*l**2 - q*l**2 - 199*l**2. Give f(h(g)).", "a": "20*g**2" }, { "q": "Let v(o) = -o. Let q(d) = -295323*d - 3. Calculate q(v(n)).", "a": "295323*n - 3" }, { "q": "Let p(w) = 2*w. Let d(a) = 10800370*a. Determine p(d(q)).", "a": "21600740*q" }, { "q": "Let z(n) = 5*n**2. Let t(h) be the first derivative of -h**5/30 - 65*h**3/3 + 44. Let y(i) be the third derivative of t(i). Determine z(y(r)).", "a": "80*r**2" }, { "q": "Let i(v) = 55*v. Let s(h) be the first derivative of -41*h**3/3 + 1593. Determine s(i(k)).", "a": "-124025*k**2" }, { "q": "Let i(w) = -w**2. Let x(b) be the third derivative of 25/12*b**5 + 0*b**3 - 8*b + 0*b**4 + 0 - 5*b**2. Give i(x(p)).", "a": "-15625*p**4" }, { "q": "Let u(i) = 5*i**2 + 12*i - 12. Let h(v) = 6*v**2 + 14*v - 14. Let s(p) = -6*h(p) + 7*u(p). Let j(b) be the second derivative of 14*b**4/3 + b. What is j(s(m))?", "a": "56*m**4" }, { "q": "Let h(n) = n - n - n + 0. Let b(w) be the second derivative of -4*w**5/15 - 17*w**3/2 - 2*w + 7. Let s(p) be the second derivative of b(p). Determine h(s(d)).", "a": "32*d" }, { "q": "Let g be -5*((-412)/721 - 8/35). Let k(a) be the second derivative of 0*a**3 + 0*a**2 + 11/12*a**g - 5*a + 0. Let w(l) = -l**2. Calculate w(k(r)).", "a": "-121*r**4" }, { "q": "Let u(b) = -271*b + 760. Let y(j) = -2*j. Determine y(u(l)).", "a": "542*l - 1520" }, { "q": "Let f(z) = z - 1. Let k(u) = -4*u - 8. Let p(r) = 8*f(r) - k(r). Let h(y) = -y + 9. Let b be h(7). Let d(j) = 38 - 63 - b*j + 25. Determine p(d(a)).", "a": "-24*a" }, { "q": "Let n(y) = -9*y + 1. Let p(w) = -255*w**2 + 503*w**2 - 253*w**2. Give n(p(x)).", "a": "45*x**2 + 1" }, { "q": "Let q(m) = 7*m. Let d(y) = -912373*y. What is q(d(w))?", "a": "-6386611*w" }, { "q": "Let i(r) = -150*r + 62*r + 89*r. Let n(o) be the first derivative of o**2/2 - 5*o - 1. Calculate n(i(q)).", "a": "q - 5" }, { "q": "Let r(o) be the third derivative of o**4/8 - 17*o**2. Let s(q) = -q**3 - 14*q**2 - 3*q - 20. Let t be s(-14). Let m(j) = -11*j - 8*j + t*j. Calculate r(m(w)).", "a": "9*w" }, { "q": "Let m(k) = -9*k + 4. Let x(u) = -75*u + 33. Let i(y) = -33*m(y) + 4*x(y). Let g(j) = -j**2 - 386*j. Determine g(i(r)).", "a": "-9*r**2 + 1158*r" }, { "q": "Let o(w) = 14*w. Let t be 0 - 33/(3 - 0). Let y = t + 13. Let a(l) = -5*l + l + y*l. Determine a(o(c)).", "a": "-28*c" }, { "q": "Let f(m) = 21*m**2. Suppose -g + 47 = 4*z + 32, 2*g - 21 = -5*z. Let q = -11 + 15. Let d(b) = 2*b. Let a(w) = -3*w. Let n(v) = g*a(v) + q*d(v). What is f(n(u))?", "a": "21*u**2" }, { "q": "Let h(i) = -13*i - 126. Let o(r) = 2*r + 18. Let m(s) = -8*h(s) - 56*o(s). Let p(z) = -3*z + z + 5*z + 2*z. Give p(m(a)).", "a": "-40*a" }, { "q": "Let i(c) = c**2. Let r(z) be the second derivative of 2*z**3/3 + 13*z**2 + 169*z. Give i(r(k)).", "a": "16*k**2 + 208*k + 676" }, { "q": "Let o(z) = -2*z. Let c(i) = 279235*i**2 - 2*i - 2. Determine c(o(g)).", "a": "1116940*g**2 + 4*g - 2" }, { "q": "Let p(o) = -128*o. Let v(j) be the second derivative of -5*j**4/12 - 1201*j. Give p(v(w)).", "a": "640*w**2" }, { "q": "Let f(v) = -17*v. Let w(r) = -3*r + 30550. Determine w(f(q)).", "a": "51*q + 30550" }, { "q": "Let n(x) = 1716 - 1437 - 5*x - 8*x + 11*x. Let b(k) = k**2. Calculate n(b(t)).", "a": "-2*t**2 + 279" }, { "q": "Let f(v) = 15*v**2. Let o be 0*(15/9)/5. Let s(p) be the third derivative of 0*p - 9*p**2 + 0 + o*p**4 + 0*p**3 - 1/30*p**5. What is f(s(b))?", "a": "60*b**4" }, { "q": "Suppose -7*s + 129 + 11 = 0. Let t(f) = 921 - 921 - s*f**2. Let j(n) = 5*n**2. Calculate t(j(l)).", "a": "-500*l**4" }, { "q": "Let l(h) = 3*h**2. Let y(a) = -2*a**3 + 21*a**2 - 10*a + 2. Let r be y(10). Let g(u) = 2*u - r*u - 8*u. Give g(l(q)).", "a": "-24*q**2" }, { "q": "Let q(d) be the third derivative of d**6/360 + 65*d**3/6 + 38*d**2 + 1. Let i(l) be the first derivative of q(l). Let x(h) = -51*h**2 + 2*h. Give i(x(v)).", "a": "2601*v**4 - 204*v**3 + 4*v**2" }, { "q": "Let q(k) = 12*k. Let i(c) = -32990*c**2. Determine q(i(t)).", "a": "-395880*t**2" }, { "q": "Let o(z) = -z. Let x(m) = 62*m - 111094. Determine x(o(n)).", "a": "-62*n - 111094" }, { "q": "Let y = 32 + -30. Let g(o) = -427 + 427 - 2*o**y. Let u(v) be the first derivative of v**2/2 + 14. Give g(u(i)).", "a": "-2*i**2" }, { "q": "Let m(u) = -30*u**2 - 246. Let s(f) = -30*f + 9. Calculate m(s(v)).", "a": "-27000*v**2 + 16200*v - 2676" }, { "q": "Let p(v) = 15*v - 4. Let u(r) be the second derivative of 119*r**3/3 - 63*r**2/2 + 25*r. Let f(g) = -63*p(g) + 4*u(g). Let s(j) = -11*j. Calculate f(s(q)).", "a": "-77*q" }, { "q": "Let m(o) = 24*o - 20. Let n(v) = 50*v - 48. Let g(x) = 7*m(x) - 3*n(x). Let h(b) = -11*b. Calculate h(g(w)).", "a": "-198*w - 44" }, { "q": "Let o(g) = -135*g - 88*g + 255*g. Let y(u) = -6*u**2. What is y(o(x))?", "a": "-6144*x**2" }, { "q": "Let n(p) = 326240*p. Let m(h) = 10*h**2. Determine n(m(y)).", "a": "3262400*y**2" }, { "q": "Let r(w) = -2*w. Let z(i) = -5741311*i. What is z(r(v))?", "a": "11482622*v" }, { "q": "Let d(v) = 58*v + 8. Let j(x) = -6*x - 1. Let r(m) = -d(m) - 8*j(m). Let y(u) = 112*u**2. Determine y(r(s)).", "a": "11200*s**2" }, { "q": "Suppose -a + u = 2, -u = -a - 4*u + 14. Let i(j) = j**2 - a + 2 + 0. Let l(t) be the second derivative of t**4/3 - 18*t. Determine l(i(f)).", "a": "4*f**4" }, { "q": "Let b(i) = -2*i**2. Suppose 22*l - 20*l + 18 = 0. Let p(t) = 342*t - 9. Let m(a) = -85*a + 2. Let j(o) = l*m(o) - 2*p(o). What is b(j(r))?", "a": "-13122*r**2" }, { "q": "Suppose 3*d - 9 = -0*d. Suppose 141 = -4*l + 153. Let x(k) = 4*k**2 - l*k**2 + d*k**2 - 5*k**2. Let b(q) = -2*q**2. Calculate b(x(h)).", "a": "-2*h**4" }, { "q": "Let g(v) = v**2 - 2*v + 2. Let m be g(2). Let r(z) = -4*z**2 + 2*z**m + 3*z**2. Let p(x) be the first derivative of -16*x**3/3 + 13558. What is r(p(i))?", "a": "256*i**4" }, { "q": "Let f(a) = 3172*a - 435. Let z(h) = -h. What is z(f(t))?", "a": "-3172*t + 435" }, { "q": "Let b(w) be the first derivative of -2*w**3 - 1924. Let k(d) = d**2. Let u(r) = 5*r**2. Let z(a) = 3*k(a) - u(a). Calculate z(b(q)).", "a": "-72*q**4" }, { "q": "Let a(c) = -1028*c. Let f(y) = 14*y - 76. Determine a(f(x)).", "a": "-14392*x + 78128" }, { "q": "Let v = 36 - 34. Suppose -3*h = -h + v*k, 4*h = -5*k - 2. Let x(j) = 9*j**h + 11*j**2 - 2*j**2. Let n(w) = -2*w**2. Determine n(x(b)).", "a": "-648*b**4" }, { "q": "Let a(r) = 169*r**2 - 11*r. Let b(j) = -383*j. What is a(b(p))?", "a": "24790441*p**2 + 4213*p" }, { "q": "Let i = -4 - -5. Let m(d) = 1 - i - 24*d. Let f(y) = y**2 + 10*y. Let w(o) = -7*o**2 - 50*o. Let r(z) = -5*f(z) - w(z). What is r(m(l))?", "a": "1152*l**2" }, { "q": "Let a(w) = 2*w. Let d(g) = -41*g**2 - 5*g - 12. Let k(i) = 45*i**2 + 6*i + 12. Let x(t) = 6*d(t) + 5*k(t). Determine x(a(n)).", "a": "-84*n**2 - 12" }, { "q": "Let b(y) = -11*y**2. Let i(p) = -6*p**2 + 61*p + 4*p**2 + 3*p**2 - 61*p - 26. Determine i(b(h)).", "a": "121*h**4 - 26" }, { "q": "Let v(f) be the third derivative of -f**5/10 + f**2. Let t(i) be the first derivative of 3*i**2/2 + 3894. Give t(v(b)).", "a": "-18*b**2" }, { "q": "Suppose -16*z - 2 = -17*z. Let t(g) = -z*g + 21*g + 4*g**2 + 0*g**2 - 5*g**2. Let i(s) = 3*s**2. Give t(i(x)).", "a": "-9*x**4 + 57*x**2" }, { "q": "Let i(g) = -30835*g**2. Let p(m) = 25*m. What is i(p(q))?", "a": "-19271875*q**2" }, { "q": "Let m(r) = 12464*r - 24949*r + 12465*r. Let u(x) = -1 + 1 + 0*x**2 - 5*x**2. Give u(m(g)).", "a": "-2000*g**2" }, { "q": "Let x(s) be the third derivative of -s**5/15 - 511*s**2 - 2*s. Let q(l) = 276*l. What is q(x(g))?", "a": "-1104*g**2" }, { "q": "Let c(k) = 2*k. Let z(n) = 31895038*n. Give c(z(d)).", "a": "63790076*d" }, { "q": "Let c(f) be the first derivative of 0*f + 7/2*f**2 + 15. Let s(d) = -17*d**2. Give s(c(l)).", "a": "-833*l**2" }, { "q": "Let w(h) = 23 + 996*h - 992*h - 23. Let q(o) be the third derivative of 17*o**4/12 - o**2. Determine q(w(n)).", "a": "136*n" }, { "q": "Suppose 232 = 17*z + 28. Let y(v) = z*v - 46*v + 65*v. Let r(i) = 2*i**2. What is r(y(d))?", "a": "1922*d**2" }, { "q": "Let i(m) = 25*m**2. Let a(z) = 46 + 10 - 51 - 4*z. Determine a(i(l)).", "a": "-100*l**2 + 5" }, { "q": "Let n(s) = 3*s**2 - 11. Let t(j) = -26*j**2 + 161. Calculate t(n(k)).", "a": "-234*k**4 + 1716*k**2 - 2985" }, { "q": "Let o(p) = 38*p**2. Let l be (-146*1 + 0)*(-1)/2. Let u = l - 39. Let h(d) = -3*d + 3*d - u*d**2 + 32*d**2. What is o(h(a))?", "a": "152*a**4" }, { "q": "Let g(q) be the first derivative of q**6/72 + q**3/3 + q**2 + 40. Let l(b) be the third derivative of g(b). Let x(a) = -a. Calculate x(l(z)).", "a": "-5*z**2" }, { "q": "Let l(q) = q - 2. Let c(y) = y - 1. Let d(h) = -2*c(h) + l(h). Let n(u) be the first derivative of 0*u - 56 - 9/2*u**2. Give d(n(t)).", "a": "9*t" }, { "q": "Let b(z) = -2*z. Let i(u) = 22*u**2 - 18*u - 4. Let g(n) = -30*n**2 + 17*n + 6. Let a(q) = -2*g(q) - 3*i(q). Give a(b(c)).", "a": "-24*c**2 - 40*c" }, { "q": "Let i(q) = q**2 - 31*q - 18. Let m be i(32). Let x(w) = -13*w - 7. Let v(y) = -2*y - 1. Let g(r) = m*v(r) - 2*x(r). Let n(d) = 62*d. Give g(n(k)).", "a": "-124*k" }, { "q": "Suppose 3*b - 5 - 1 = 0. Let h(x) = b*x - x + x. Let j(z) be the first derivative of -5*z**2/2 + 2850. What is j(h(w))?", "a": "-10*w" }, { "q": "Let k(d) = 2*d**2. Let p(s) = -63*s**2 - 4*s + 3. Let q(h) = -61*h**2 - 3*h + 2. Let r(t) = -3*p(t) + 4*q(t). What is r(k(w))?", "a": "-220*w**4 - 1" }, { "q": "Let q be (1 - -1)*(-2)/(12 - 8). Let l(m) = -m. Let d(p) = 2*p. Let o(f) = q*d(f) - 5*l(f). Let r(t) = -22*t**2. Determine r(o(v)).", "a": "-198*v**2" }, { "q": "Let z(i) = 2*i**2 - 8*i - 22. Let l be z(-2). Let f(w) = -14*w - 10*w**2 + 14*w + 5*w**l. Let t(o) = 17*o**2. What is f(t(s))?", "a": "-1445*s**4" }, { "q": "Let w(x) = -1005*x + 515*x - 324*x - 1387*x. Let q(k) = -k. Give q(w(s)).", "a": "2201*s" }, { "q": "Let d(s) = 18*s - 17*s - 6*s. Let r = 9 - 6. Let l(h) = -r*h + h + 7*h. What is d(l(n))?", "a": "-25*n" }, { "q": "Let o(m) = -3*m. Suppose 2*p = -p + 12. Suppose 0 = -0*v - 12*v + 72. Let r(w) = 4*w - p*w + v*w. Calculate r(o(d)).", "a": "-18*d" }, { "q": "Let b(q) = -q**2. Suppose 14 - 20 = -2*z. Let l(c) = -4 - 514*c + 399*c + z. Calculate b(l(v)).", "a": "-13225*v**2 - 230*v - 1" }, { "q": "Let c(d) = 2*d**2. Let w(m) = 2*m**2 - 3*m + 4. Suppose 0 = 5*i - 31 + 6. Let k(t) = 4*t**2 - 5*t + 8. Let r(o) = i*w(o) - 3*k(o). Give r(c(n)).", "a": "-8*n**4 - 4" }, { "q": "Let y(v) = -21*v**2. Let k(j) be the third derivative of -14*j**2 - 5/24*j**4 + 0*j**3 + 0 + 0*j. Calculate y(k(z)).", "a": "-525*z**2" }, { "q": "Let q(p) = -73*p**2 + 12*p + 8. Let w(j) = -17301*j**2 + 2847*j + 1898. Let y(m) = 949*q(m) - 4*w(m). Let c(k) = -5*k. Calculate y(c(s)).", "a": "-1825*s**2" }, { "q": "Let b(d) = -d. Let h(k) = -95074*k**2 + 26*k. Calculate b(h(f)).", "a": "95074*f**2 - 26*f" }, { "q": "Let u(x) = 25*x. Let m(b) = -22*b - 990. Give u(m(s)).", "a": "-550*s - 24750" }, { "q": "Let p(l) = -10*l**2. Let i(t) = t. Suppose -a = 1 + 2. Let g(m) be the third derivative of m**4/24 + 269*m**2. Let n(k) = a*g(k) + 6*i(k). Determine n(p(x)).", "a": "-30*x**2" }, { "q": "Let m(s) = -3*s - 105. Let v(w) = -2*w - 75. Let q(g) = -5*m(g) + 7*v(g). Let u(k) = 2099*k. Determine u(q(n)).", "a": "2099*n" }, { "q": "Let t(n) = 7*n**2 + 6*n - 6. Let m(p) = 653 - 6*p - 13*p**2 - 5*p - 642. Let s(w) = 6*m(w) + 11*t(w). Let c(h) = -6*h**2 - 3*h. Give s(c(a)).", "a": "-36*a**4 - 36*a**3 - 9*a**2" }, { "q": "Let i(b) = 6 - 6 - 79056*b**2 + 79049*b**2. Let w(v) = 2*v. Let a(x) = 3*x. Let r(p) = -2*a(p) + 5*w(p). Determine i(r(k)).", "a": "-112*k**2" }, { "q": "Let f(v) = -22*v - 4. Let x(w) = -35*w - 7. Let o(n) = -7*f(n) + 4*x(n). Let y(c) = 64*c**2. Give y(o(s)).", "a": "12544*s**2" }, { "q": "Let b(w) = 4*w + 3939*w**2 + 5 - 3768*w**2 - 4*w. Let q(d) = -2*d**2. Calculate q(b(j)).", "a": "-58482*j**4 - 3420*j**2 - 50" }, { "q": "Let z(v) = -37 - 45 - 99*v + 136 - 16 - 38. Let a(t) = 8*t**2. Let x(j) = -7*j**2. Let g(s) = 5*a(s) + 6*x(s). Calculate z(g(n)).", "a": "198*n**2" }, { "q": "Let t(m) = 699 + 0*m + 0*m - 8*m**2 + 2*m - 699. Let r(s) = s - 1. Let y(g) = -5*g + 6. Let k(f) = 6*r(f) + y(f). Give t(k(x)).", "a": "-8*x**2 + 2*x" }, { "q": "Let c(u) = 2*u. Let t(k) be the third derivative of -k**7/720 - 3*k**5/4 + 63*k**2. Let m(b) be the third derivative of t(b). Give m(c(f)).", "a": "-14*f" }, { "q": "Let w(r) be the first derivative of -r**3 - 1. Let b(h) = -10*h**2 - h**2 + 4*h**2 - 4*h**2 + 19*h**2. Calculate w(b(a)).", "a": "-192*a**4" }, { "q": "Let g(j) = 2*j. Let t(y) be the third derivative of -y**5/5 - 10*y**2 - 2. Determine g(t(b)).", "a": "-24*b**2" }, { "q": "Let r(v) = -3 - 2 + 5 + 97*v - 105*v. Let u(k) = 64*k**2 + k. What is r(u(m))?", "a": "-512*m**2 - 8*m" }, { "q": "Let t(a) = a**2. Suppose 7 = -13*m - 58. Let l = -1 + 0. Let w(z) = -6*z**2. Let d(v) = l*w(v) + m*t(v). Let u(f) = -4*f. Determine d(u(b)).", "a": "16*b**2" }, { "q": "Let p(f) = -3*f + 23. Let s(k) = -2*k**2 - 132*k + 132*k. Calculate p(s(m)).", "a": "6*m**2 + 23" }, { "q": "Let o(s) = 7*s**2. Let c(f) = -912033*f**2. What is c(o(r))?", "a": "-44689617*r**4" }, { "q": "Let s(t) = 1493*t**2. Let z(l) = -15 + 21 + 0*l + l - 6. What is s(z(w))?", "a": "1493*w**2" }, { "q": "Let d(z) = 677*z - 12. Let v(g) = 864*g. Give v(d(l)).", "a": "584928*l - 10368" }, { "q": "Let y(s) be the third derivative of -s**5/4 + 1607*s**2. Let q(m) = 37*m**2. Give y(q(w)).", "a": "-20535*w**4" }, { "q": "Let m(d) be the second derivative of 101*d**4/12 + d**3/3 - 30*d - 18. Let x(p) = 12*p. Determine m(x(q)).", "a": "14544*q**2 + 24*q" }, { "q": "Let l(a) = -337196*a. Let c(w) = 4*w + 9. Give c(l(j)).", "a": "-1348784*j + 9" }, { "q": "Let s(k) = 282609*k. Let f(z) = -3*z**2. Determine s(f(h)).", "a": "-847827*h**2" }, { "q": "Let v(j) = -8*j**2. Let w(k) = k - 242. Let i(g) = -35. Let l(q) = -15*i(q) + 2*w(q). Calculate v(l(p)).", "a": "-32*p**2 - 1312*p - 13448" }, { "q": "Let h(x) be the third derivative of x**5/60 + 64*x**2. Suppose y = 5, -5*o - 3*y + y + 25 = 0. Let d(z) = 2*z + z - o*z + 2*z. Give d(h(m)).", "a": "2*m**2" }, { "q": "Suppose -66*v + 58*v + 112 = 0. Let j(y) = 7 + 5*y - v + 11. Let z(o) = o. What is j(z(t))?", "a": "5*t + 4" }, { "q": "Let f(j) = -j**2. Let z = 4/2155 - -36623/6465. Let h(p) be the first derivative of -13 + z*p**3 + 0*p + 0*p**2. Determine h(f(t)).", "a": "17*t**4" }, { "q": "Let z(n) = n**2. Suppose 57*v + 81 = 60*v. Let s(h) = -9*h + v*h - 19*h. Give z(s(u)).", "a": "u**2" }, { "q": "Let x(j) = -70*j. Let g(s) be the third derivative of s**4/6 + 19*s**2 + 14. Calculate x(g(u)).", "a": "-280*u" }, { "q": "Let r(s) = 28434*s**2 + 19*s. Let a(w) = 2*w**2. Give r(a(n)).", "a": "113736*n**4 + 38*n**2" }, { "q": "Let s(n) = -3*n. Suppose h - a = 69, 0 = 2*h - 0*h + 3*a - 148. Let k(o) = -h - 2*o + 35 + 40. Calculate s(k(r)).", "a": "6*r - 12" }, { "q": "Let y(i) = -3*i**2 + 3*i + 12. Let v(b) = 3*b**2 - 4*b - 11. Let k(o) = 3*v(o) + 4*y(o). Let x(u) = -26*u**2 + 20*u**2 + 0*u**2 + 5*u**2. Give x(k(r)).", "a": "-9*r**4 + 90*r**2 - 225" }, { "q": "Let q be (-429)/(-52) - (-1)/(-4). Suppose -3*m - 3 = -9. Let i(d) = -5*d**2 - d**2 + d**2 + q*d**m. Let t(z) = z. Calculate t(i(s)).", "a": "3*s**2" }, { "q": "Let f(q) be the second derivative of q**3/3 - 133*q**2/2 + q - 294. Let m(z) = -z. Calculate m(f(s)).", "a": "-2*s + 133" }, { "q": "Suppose -2*n + 2*m = 3*n - 66, -n + 18 = -2*m. Let i(k) = 6*k + 6*k - n*k - 2*k. Let j(v) = -1. Let x(d) = 2*d + 3. Let q(z) = 3*j(z) + x(z). Give i(q(u)).", "a": "-4*u" }, { "q": "Let r(f) be the third derivative of f**4/8 + 2*f**2. Let y(m) be the third derivative of -17*m**5/30 - 5*m**2 - m - 82. Give y(r(s)).", "a": "-306*s**2" }, { "q": "Let i(a) be the second derivative of 7*a**4/3 - 2*a - 830. Let f(p) = -13*p**2 + 1. Calculate i(f(h)).", "a": "4732*h**4 - 728*h**2 + 28" }, { "q": "Let g(x) = -118570*x. Let y(o) = -81*o. What is y(g(m))?", "a": "9604170*m" }, { "q": "Let v(r) = -2*r - 8. Let n(z) = -z - 3. Let g(h) = 8*n(h) - 3*v(h). Let p(q) = 1667*q - 3533*q + 1691*q. Determine g(p(j)).", "a": "350*j" }, { "q": "Let r(a) = 6*a. Let n(z) be the third derivative of 0 + 0*z**4 + 1/12*z**5 + 2*z + 0*z**3 + 19*z**2. Give n(r(o)).", "a": "180*o**2" }, { "q": "Let p(x) be the first derivative of 5*x**3 - 1624. Let o(b) = -25*b**2. Give p(o(u)).", "a": "9375*u**4" }, { "q": "Let b(d) = 36*d. Let w(h) be the second derivative of -h**7/1260 - 10*h**4/3 - h**2/2 + 15*h. Let i(q) be the third derivative of w(q). Calculate b(i(s)).", "a": "-72*s**2" }, { "q": "Let o(g) = 14*g**2 - 13866*g - 15. Let u(m) = 2*m. What is o(u(j))?", "a": "56*j**2 - 27732*j - 15" }, { "q": "Let h(l) = 2042*l. Let z(y) = -2*y**2 + 88. Give z(h(p)).", "a": "-8339528*p**2 + 88" }, { "q": "Let c(d) = -21*d**2. Let x be (-26)/4*7/((-28)/8). Let n(h) = 18*h + 3 - 3 - x*h. Give n(c(r)).", "a": "-105*r**2" }, { "q": "Let b(l) = 25*l. Let u(w) be the first derivative of 0*w**2 + 18*w - 17 + 1/3*w**3. Let r(z) be the first derivative of u(z). Give b(r(o)).", "a": "50*o" }, { "q": "Let a(g) = -16*g**2 + 7308 - 7308. Let j(m) = 137*m**2. Calculate a(j(f)).", "a": "-300304*f**4" }, { "q": "Let g(z) = 9*z**2 + 2*z. Let a(c) be the first derivative of 1/2*c**2 + 0*c + 53. What is g(a(y))?", "a": "9*y**2 + 2*y" }, { "q": "Let y(g) = 58*g. Suppose -3*h = 122 - 140. Let b(x) = -h*x - 3*x - 7*x + 18*x. Calculate b(y(l)).", "a": "116*l" }, { "q": "Let v(x) = 11*x**2 + 4*x. Let h(n) = -8*n**2 - 3*n. Let a(z) = 4*h(z) + 3*v(z). Let p(k) = -72*k - 3. Calculate p(a(u)).", "a": "-72*u**2 - 3" }, { "q": "Let w(r) = 9*r - 11. Let x(g) = -25*g + 24. Let o(z) = -5*w(z) - 2*x(z). Let q(v) = v. Calculate q(o(d)).", "a": "5*d + 7" }, { "q": "Let n(z) = -89*z**2 + 6*z + 6. Let p(u) = -9*u**2 + u + 1. Let d(t) = n(t) - 6*p(t). Let j(m) = 5*m. Determine j(d(l)).", "a": "-175*l**2" }, { "q": "Let t(k) = -1520*k - 9. Let q(p) = 109435*p + 645. Let l(c) = -3*q(c) - 215*t(c). Let i(m) = 2*m. What is l(i(n))?", "a": "-3010*n" }, { "q": "Suppose 5*h + 5*v + 15 = 0, -5*v - 25 - 4 = -2*h. Let f(b) = -17 - 120*b**2 + 66*b**h + 57*b**2. Let q(w) = -3*w. What is f(q(i))?", "a": "27*i**2 - 17" }, { "q": "Let l(p) = 17*p. Let r(v) = 8*v**2 + 45466. Calculate r(l(o)).", "a": "2312*o**2 + 45466" }, { "q": "Let l(f) = -258*f - 6. Let k(q) = 254*q. Give l(k(g)).", "a": "-65532*g - 6" }, { "q": "Let p(f) = 3 - 3 - f. Let n be (-1)/3*(-11 - 0 - 226). Let m(d) = -n*d + 36*d + 54*d. What is m(p(i))?", "a": "-11*i" }, { "q": "Let t(l) = -2*l**2 - 10*l. Let d(q) = -40*q - 66. Let p(f) = -2*f - 3. Let w(y) = -2*d(y) + 44*p(y). Give w(t(x)).", "a": "16*x**2 + 80*x" }, { "q": "Let j(i) be the third derivative of -5*i**4/6 + i**2. Let l = -322 + 324. Let c(a) = 41*a**l - 11*a**2 - 17*a**2 - 15*a**2. Give j(c(r)).", "a": "40*r**2" }, { "q": "Let l(b) = 2*b**2. Let u(r) = r + 2. Let j(p) = -25*p - 37. Let y(d) = -5*d - 7. Let c(n) = 4*j(n) - 22*y(n). Let f(t) = c(t) - 3*u(t). Determine f(l(i)).", "a": "14*i**2" }, { "q": "Let o(c) = 97272*c**2 - c. Let w(j) = 95*j**2. Calculate o(w(i)).", "a": "877879800*i**4 - 95*i**2" }, { "q": "Let z(d) = -118*d**2 - 355. Let b(w) = 8*w. Determine z(b(i)).", "a": "-7552*i**2 - 355" }, { "q": "Let g(a) be the second derivative of 0*a**3 - 57 + a - 3/2*a**4 + 0*a**2. Let y(i) = -2*i. Calculate y(g(s)).", "a": "36*s**2" }, { "q": "Let n(a) = a**2 + 9*a + 45. Let x be n(-6). Let g(q) = -15*q + x*q - 10*q. Let i(l) = l - 26. Calculate i(g(f)).", "a": "2*f - 26" }, { "q": "Let z(g) = 6*g + 3*g**2 + 8*g**2 + g**2. Let w(f) = 10*f**2 + 0*f**2 + 5*f**2 - 13*f**2 + 0*f**2. Calculate z(w(n)).", "a": "48*n**4 + 12*n**2" }, { "q": "Let o(f) = 2*f**2 + 4*f. Let v = 93 - 91. Let g(t) = 182 - t**v - 182. Calculate o(g(z)).", "a": "2*z**4 - 4*z**2" }, { "q": "Let a(j) = j**2. Let t(o) = 4429102*o. Determine a(t(p)).", "a": "19616944526404*p**2" }, { "q": "Let k(a) = a. Let s(h) = 720861*h**2. Calculate s(k(w)).", "a": "720861*w**2" }, { "q": "Let r(d) = -17*d**2 - 23*d + 250. Let t(k) = k. Give t(r(a)).", "a": "-17*a**2 - 23*a + 250" }, { "q": "Let x(m) = -4*m. Let k(h) = 292*h**2 + 30*h. Calculate x(k(b)).", "a": "-1168*b**2 - 120*b" }, { "q": "Let z(f) be the first derivative of 134*f**3/3 + 3*f + 160. Let w(m) = m**2. What is z(w(j))?", "a": "134*j**4 + 3" }, { "q": "Let o(t) = 285*t**2 - 18*t. Let f(b) = 16*b**2 - b. Let v(j) = -18*f(j) + o(j). Let x(s) = -s + 3*s + 0*s + 10*s**2. Give x(v(c)).", "a": "90*c**4 - 6*c**2" }, { "q": "Let u(i) be the second derivative of i**3/2 - 75*i + 1. Let s(f) = -694*f. Give u(s(x)).", "a": "-2082*x" }, { "q": "Let l(d) = -61*d**2 + 10*d + 1. Let g(p) = -92*p**2 + 14*p + 2. Let u(k) = -5*g(k) + 7*l(k). Let o(s) = 4*s. Calculate o(u(j)).", "a": "132*j**2 - 12" }, { "q": "Let c(d) = -8*d**2 + 1. Let r(f) = -15*f - 12. Let a(g) = -12*g - 10. Let o(z) = 6*a(z) - 5*r(z). Determine c(o(w)).", "a": "-72*w**2 + 1" }, { "q": "Let a(m) be the third derivative of -m**4/4 - 194*m**2 + m. Let r(z) = -17*z**2. Let n(s) = -460*s**2. Let q(w) = -2*n(w) + 55*r(w). What is q(a(f))?", "a": "-540*f**2" }, { "q": "Let c(i) = 40*i**2 + 58*i - 277. Let j(p) = -4*p. Give c(j(r)).", "a": "640*r**2 - 232*r - 277" }, { "q": "Let f(m) = 15. Let t(l) = l + 15. Let w(u) = -f(u) + t(u). Let i(k) be the first derivative of -5*k**3 + 2. What is w(i(v))?", "a": "-15*v**2" }, { "q": "Let q(f) = -1520*f. Let r(n) = -1830*n**2. Give r(q(l)).", "a": "-4228032000*l**2" }, { "q": "Let o(i) = -2*i**2. Let p(q) = -2020*q**2 + 12*q. Let t(d) = 1735173*d**2 - 10310*d. Let r(h) = -5155*p(h) - 6*t(h). Calculate r(o(x)).", "a": "8248*x**4" }, { "q": "Let k(d) = 12*d**2. Let v(p) = -1953*p**2 + 3 + 1940*p**2 - 13 + 10. Give v(k(h)).", "a": "-1872*h**4" }, { "q": "Let f(h) = 6*h + 7. Let z be f(-2). Let y be 9/3 - 60/z. Let o(d) = -2*d - 15 + 3*d + y. Let i(t) = -5*t. What is o(i(c))?", "a": "-5*c" }, { "q": "Let l = -3 + 5. Let j(f) = -f + l*f - 4*f + 2*f. Let k(s) = -16*s**2 - 24*s. Let i(g) = 2*g. Let y(a) = -24*i(a) - 2*k(a). Determine j(y(n)).", "a": "-32*n**2" }, { "q": "Let n(t) = -10*t**2 + 87. Let h(y) = -2*y**2 + 29. Let x(w) = 3*h(w) - n(w). Let o(c) be the first derivative of -5*c**2 + 2. Calculate o(x(j)).", "a": "-40*j**2" }, { "q": "Let u(i) = 37*i**2. Let b(m) be the third derivative of -7*m**5/20 - 109*m**2 - 1. Determine u(b(h)).", "a": "16317*h**4" }, { "q": "Let h(q) be the third derivative of 1 + 12*q**2 + 0*q**4 + 1/6*q**5 + 0*q**3 + 0*q. Let v(i) = -5*i**2. Determine h(v(s)).", "a": "250*s**4" }, { "q": "Let q(h) = 7*h + 1. Let r(u) = -8*u - 8. Let b(n) = -42*n - 44. Let k(v) = 4*b(v) - 22*r(v). What is k(q(m))?", "a": "56*m + 8" }, { "q": "Let u be 3/(-2)*(-200)/15. Let b(x) = -2 + u*x - 10*x + 2. Let p(g) = g**2 + 9. Let s(r) = -2*r**2 - 21. Let d(y) = -7*p(y) - 3*s(y). Give b(d(v)).", "a": "-10*v**2" }, { "q": "Let c(z) = 297*z**2 + 1. Let i(v) = 5427*v. Give i(c(h)).", "a": "1611819*h**2 + 5427" }, { "q": "Let l(g) = 12*g. Let v(k) be the first derivative of 0*k**2 + 76 + 4/3*k**3 + 0*k. Calculate v(l(z)).", "a": "576*z**2" }, { "q": "Let x(s) be the first derivative of -3*s**2 - 36*s + 368. Let d(b) = -2*b. Calculate x(d(z)).", "a": "12*z - 36" }, { "q": "Let o(v) = 2*v. Let w(i) = 35 + 9*i + 30 - 63. Let p(m) = m - 2 - 4 + 7. Let y(h) = -2*p(h) + w(h). Give o(y(x)).", "a": "14*x" }, { "q": "Let k(u) be the first derivative of -138*u**2 - 1344. Let p(v) = 3*v. What is p(k(g))?", "a": "-828*g" }, { "q": "Let c(b) be the first derivative of 25*b**2 - 4 - 47*b**2 + 81 + 18*b**2. Let s(a) = -5*a**2. Give s(c(j)).", "a": "-320*j**2" }, { "q": "Let l(o) = 21*o**2 - 3*o. Let w(z) = -64*z**2 + 8*z. Let d(f) = -8*l(f) - 3*w(f). Let n(j) = -152*j**2 + 85*j**2 + 65*j**2. Calculate n(d(h)).", "a": "-1152*h**4" }, { "q": "Let y = 55 - 50. Let r(i) = -i**2 - i - 1. Let u(o) = -6*o**2 - 8*o - 8. Let z(f) = y*u(f) - 40*r(f). Let g(j) = 7*j. What is g(z(k))?", "a": "70*k**2" }, { "q": "Let a(y) = -432814*y**2. Let t(o) = 10*o**2. Determine a(t(f)).", "a": "-43281400*f**4" }, { "q": "Let f(b) = 24*b**2. Let g(i) = -414165*i. Calculate f(g(t)).", "a": "4116783533400*t**2" }, { "q": "Let c(b) = -10*b**2. Let v = -32 + 38. Let n(t) = 6*t - v*t - 3*t - 2*t. Determine n(c(p)).", "a": "50*p**2" }, { "q": "Suppose -5*h - f = -3*h - 6, -14 = -3*h + f. Suppose -h*s + 26 = -26. Let a(g) = -s*g**2 + 6*g**2 + 20*g**2. Let j(m) = 2*m. Determine a(j(y)).", "a": "52*y**2" }, { "q": "Let j(t) = -86*t. Let a(c) = c**3 + 18*c**2 + 30*c + 23. Let b be a(-13). Let z(x) = -b + 478 - x**2. Give z(j(y)).", "a": "-7396*y**2" }, { "q": "Let j(d) be the third derivative of -59*d**5/60 - d**2 - 133*d. Let a(r) = 7*r**2. Determine j(a(n)).", "a": "-2891*n**4" }, { "q": "Let d(g) = -430*g. Let i(x) = -2*x**2 + 655*x - 3. Determine i(d(q)).", "a": "-369800*q**2 - 281650*q - 3" }, { "q": "Let a(v) = -21*v + 3 - 3 + 20*v. Let q(k) be the third derivative of 5*k**2 + 0*k + 0*k**3 - 29/24*k**4 + 0. Give q(a(d)).", "a": "29*d" }, { "q": "Let b(d) = -3*d**2. Let g(u) = -2737023*u**2. Calculate b(g(p)).", "a": "-22473884707587*p**4" }, { "q": "Let f(l) be the second derivative of -308*l**3/3 - 5*l - 97. Let w(n) = n. What is w(f(g))?", "a": "-616*g" }, { "q": "Let a(j) = -5*j. Suppose -7*p = -52 - 116. Let d(n) = p*n - 4 + 4 - 28*n. Give d(a(t)).", "a": "20*t" }, { "q": "Let h(m) = 2*m. Let b = -16 + 15. Let l be 1 + ((-3)/b - 4). Let n(w) = 5*w**2 + l*w**2 + 3*w**2. Give n(h(f)).", "a": "32*f**2" }, { "q": "Let g(k) = 20388*k. Let r(j) = 338*j**2. Determine r(g(m)).", "a": "140496643872*m**2" }, { "q": "Let y(s) = s - 3*s + s. Let x(d) be the first derivative of 1/2*d**2 + 0*d + 37. Determine x(y(o)).", "a": "-o" }, { "q": "Let j(m) = -3*m. Let x(l) = -21599*l**2 - 2*l + 5. Determine x(j(r)).", "a": "-194391*r**2 + 6*r + 5" }, { "q": "Let d(f) = -303126*f**2. Let s(o) = 14*o**2. What is s(d(z))?", "a": "1286395206264*z**4" }, { "q": "Let p(z) = 3*z**2. Let c(j) be the first derivative of 358*j**3 + 1367. What is c(p(h))?", "a": "9666*h**4" }, { "q": "Let f(r) = -7*r**2. Let n(y) = 3455979*y. What is n(f(o))?", "a": "-24191853*o**2" }, { "q": "Let j(r) = -2*r. Let y(t) be the first derivative of 611*t**3 - 1354. Calculate y(j(b)).", "a": "7332*b**2" }, { "q": "Let d(p) be the third derivative of -3*p**5/10 + 46*p**2. Let r(g) = 49*g - 5*g**2 - 49*g. What is d(r(t))?", "a": "-450*t**4" }, { "q": "Let o(k) = -129*k**2 + 1. Let l(t) = -3*t - 4. Let u(y) = 8*y + 10. Let x(h) = 5*l(h) + 2*u(h). Calculate o(x(p)).", "a": "-129*p**2 + 1" }, { "q": "Let b(t) = -65671*t - 2. Let i(d) = -d - 33. What is b(i(a))?", "a": "65671*a + 2167141" }, { "q": "Let d(j) = -130*j - 148*j - 38 + 10 + 28. Let h(i) = 2*i**2. Give h(d(v)).", "a": "154568*v**2" }, { "q": "Let c(u) = -38*u. Let a(h) be the third derivative of -h**4/24 + 7*h**3/3 - 2*h**2 + 628. Calculate c(a(g)).", "a": "38*g - 532" }, { "q": "Let w(d) = -4*d. Let s(q) be the first derivative of -215*q**3/3 - q**2/2 - 186. Give w(s(l)).", "a": "860*l**2 + 4*l" }, { "q": "Let c(k) = -318 + 491 - 173 + 247*k**2. Let m(n) = -3*n**2. Determine c(m(w)).", "a": "2223*w**4" }, { "q": "Let y(o) = -3*o. Let z = -18 - -23. Let m(h) be the third derivative of 19*h**4/8 + 2*h**2. Let q(k) = -23*k. Let v(w) = z*m(w) + 12*q(w). Calculate v(y(b)).", "a": "-27*b" }, { "q": "Let r(y) = -y. Let x(c) be the second derivative of 7*c**6/360 + 35*c**4/6 - c + 2. Let w(m) be the third derivative of x(m). Calculate r(w(n)).", "a": "-14*n" }, { "q": "Let l(g) be the first derivative of g**3/3 - 6. Let h(j) be the third derivative of 0*j**3 + 0 - 1/6*j**4 + 0*j + 30*j**2. Calculate l(h(x)).", "a": "16*x**2" }, { "q": "Let a(l) = -l. Let x(u) = -154*u + 2696*u + 989*u. Determine x(a(b)).", "a": "-3531*b" }, { "q": "Suppose -5*a + 23 = 8. Suppose 2*p - b + a*b - 6 = 0, -4*p + 6 = 2*b. Let i(j) = 21*j**2 - 24*j**2 + p + 0. Let l(m) = 4*m**2. Determine l(i(c)).", "a": "36*c**4" }, { "q": "Let b(c) = -3*c**3 + 6*c + 5. Let t be b(-1). Let q(u) = -447*u**t + 225*u**2 + 220*u**2. Let h(x) = 10*x - 15*x - 13*x. What is h(q(a))?", "a": "36*a**2" }, { "q": "Let g(y) be the first derivative of 0*y**3 - 2 + 0*y - 9*y**2 + 1/12*y**4. Let w(p) be the second derivative of g(p). Let d(u) = -u**2. Calculate d(w(r)).", "a": "-4*r**2" }, { "q": "Let o(d) = 128 - 26806*d + 26803*d + 131. Let v(j) = -j**2. Calculate o(v(f)).", "a": "3*f**2 + 259" }, { "q": "Let y(b) = -b. Let w(u) = 132*u - 35*u + 595 + 25*u - 593. What is w(y(v))?", "a": "-122*v + 2" }, { "q": "Let r(d) = -32*d. Let q = 159 + -164. Let s(b) = 64*b - 1. Let t(i) = q*r(i) - 2*s(i). Let p(w) = -2*w**2. Calculate p(t(v)).", "a": "-2048*v**2 - 256*v - 8" }, { "q": "Let c(x) = 372*x**2. Let b(g) = 11*g + 6. Let n(s) = 8*s + 4. Let o(a) = 4*b(a) - 6*n(a). Calculate o(c(t)).", "a": "-1488*t**2" }, { "q": "Let c(n) = 9*n + 34. Let j be c(-10). Let p = -40 - j. Let x(d) = -675 + p*d + 675. Let b(q) = 2*q**2. Determine x(b(m)).", "a": "32*m**2" }, { "q": "Let g(d) = 2*d**2. Let t(i) = 77057*i + 12. Determine t(g(u)).", "a": "154114*u**2 + 12" }, { "q": "Let h(q) = 2*q**2. Suppose 53 - 43 = 2*p. Let w(j) = -2*j - p*j + 4*j + 5*j. What is h(w(f))?", "a": "8*f**2" }, { "q": "Let f(l) = l. Let k = 18 - 12. Let a(b) be the first derivative of 13*b**2/2 - 3*b - 9. Let z(v) = -13*v + 2. Let t(u) = k*z(u) + 4*a(u). What is t(f(m))?", "a": "-26*m" }, { "q": "Let c(u) = u + 35. Let z(b) = 237 - 2*b + 249 - 486. What is z(c(w))?", "a": "-2*w - 70" }, { "q": "Let i(n) = -941*n**2. Let a(m) = -98*m. Let y(s) = 19*s. Let w(u) = -a(u) - 5*y(u). Calculate w(i(g)).", "a": "-2823*g**2" }, { "q": "Let o(j) = 23*j - 3. Let b(k) = 918*k. Give b(o(w)).", "a": "21114*w - 2754" }, { "q": "Let t(q) = -921*q**2. Let j(v) = -2*v**2 + 6*v**2 + 9*v**2 - 17*v**2 + 2*v**2. Calculate t(j(m)).", "a": "-3684*m**4" }, { "q": "Let k(g) = -28*g**2 + 2*g. Let p(r) = -101*r - 100*r - 96*r - 99*r + 388*r. Calculate k(p(m)).", "a": "-1792*m**2 - 16*m" }, { "q": "Let k(p) = -10*p. Let d(w) = -17*w**2 + 2*w - 326. Give k(d(j)).", "a": "170*j**2 - 20*j + 3260" }, { "q": "Let y(i) = 484140*i**2. Let a(r) = 9*r. Give a(y(o)).", "a": "4357260*o**2" }, { "q": "Let b(g) = -3*g**2 + 8*g. Let w(p) = -9*p**2 + 39*p**2 - 13*p**2 - 18*p**2 + 4*p**2. Determine w(b(m)).", "a": "27*m**4 - 144*m**3 + 192*m**2" }, { "q": "Suppose 0 = -16*h + 14*h + 30. Let x(j) = 12 - j - 12 - h*j. Let v(a) = 2*a**2. Let p(k) = -5*k**2. Let s(o) = -6*p(o) - 14*v(o). What is s(x(g))?", "a": "512*g**2" }, { "q": "Let d(b) be the second derivative of b**3/6 + 12*b - 9. Let j(y) = -1898*y**2. What is d(j(f))?", "a": "-1898*f**2" }, { "q": "Let r(m) = 26*m**2. Let d(w) = -3*w - 26. Let y be d(-8). Let z(n) = 4*n + 6. Let a(s) = -s - 2. Let c(k) = y*z(k) - 6*a(k). Give r(c(j)).", "a": "104*j**2" }, { "q": "Let b(a) = -2*a - 619. Let i(z) = -53*z + 4. Let x(w) = 40*w - 3. Let y(s) = -3*i(s) - 4*x(s). What is b(y(f))?", "a": "2*f - 619" }, { "q": "Let i(n) = -3*n**2. Let a(q) = 63*q**2 + 24*q - 6. Let r(b) = 61*b**2 + 20*b - 5. Let z(p) = -5*a(p) + 6*r(p). Calculate i(z(c)).", "a": "-7803*c**4" }, { "q": "Let t(k) = 9*k - 11. Let p(d) be the third derivative of d**5/60 - d**2 - 76*d. Calculate t(p(y)).", "a": "9*y**2 - 11" }, { "q": "Let y be (-72)/(-96) - 37/(-4). Let f(g) = -530 + 530 + y*g. Let l(o) = -o**2 + 0*o**2 + 4*o**2. Determine f(l(h)).", "a": "30*h**2" }, { "q": "Let a(b) = 17*b**2 - 21*b - 21. Let s(q) = 9*q**2 - 12*q - 10. Let x(r) = 4*a(r) - 7*s(r). Let n(y) = 6*y**2. Determine x(n(v)).", "a": "180*v**4 - 14" }, { "q": "Let q(i) = -23*i. Let l(a) = 440*a. Let h(z) = 3*l(z) + 56*q(z). Let f(w) = 7*w**2. Give f(h(d)).", "a": "7168*d**2" }, { "q": "Let l(m) = -m**3 + 5*m**2 - 3*m + 5. Let s be l(4). Suppose 2*y - s = -b + 8, y + 3*b = 11. Let k(t) = -y*t + 3*t + 6*t. Let x(v) = -14*v. Give k(x(u)).", "a": "-14*u" }, { "q": "Let v(s) = -s. Let x(z) = -2*z**2 - 8*z - 2746. Calculate v(x(b)).", "a": "2*b**2 + 8*b + 2746" }, { "q": "Let t(w) be the first derivative of 58*w**3 - 37 - 1 - 72*w**3. Let g(q) = -q**2. Give g(t(f)).", "a": "-1764*f**4" }, { "q": "Let f(q) = 878*q**2. Let w(h) = 2*h**2 - 3*h + 284. Calculate w(f(y)).", "a": "1541768*y**4 - 2634*y**2 + 284" }, { "q": "Let v(t) = -13*t + 7*t - 21*t. Let j(h) = 8*h. Let z(w) = -w. Let n(y) = -j(y) - 10*z(y). Determine n(v(i)).", "a": "-54*i" }, { "q": "Suppose 3*i - 6 = -2*w, 0*w - 5*i + 10 = 3*w. Let j(l) = 0*l + 2*l + w*l - 5*l. Let s(z) = -781 + 3*z**2 + 781. What is s(j(y))?", "a": "27*y**2" }, { "q": "Let p(q) = 112740*q**2. Let c(m) = 28*m. Give c(p(g)).", "a": "3156720*g**2" }, { "q": "Let p(w) = -w**2 - 7*w + 1. Let i(u) = -7*u**2 + 147*u - 21. Let l(c) = 2*i(c) + 42*p(c). Let n(g) = 16*g**2. Determine n(l(d)).", "a": "50176*d**4" }, { "q": "Let s(w) = 716*w - 1420*w + 704*w - 2*w**2. Let a(h) be the second derivative of 0 + 0*h**2 - 1/2*h**3 - h. Give a(s(u)).", "a": "6*u**2" }, { "q": "Let c(q) = -38*q + 2. Let g(z) = 169*z - 9. Let p(f) = 9*c(f) + 2*g(f). Let m(j) = 77*j. Give p(m(l)).", "a": "-308*l" }, { "q": "Let f(t) = 2*t**2 + 493. Let a(u) = 256*u - 3. Give a(f(k)).", "a": "512*k**2 + 126205" }, { "q": "Let l(o) = -214*o. Let b(w) = -11017*w. Calculate b(l(g)).", "a": "2357638*g" }, { "q": "Let h(f) = -4*f - 18. Let y(n) = 2*n + 8. Let r(l) = -4*h(l) - 9*y(l). Let w(s) be the third derivative of 5*s**4/24 + s**3 + 22*s**2. Give w(r(g)).", "a": "-10*g + 6" }, { "q": "Let t = 63 - 63. Let m(q) = 29 - 29 - q + t. Let k(u) = -5*u + 1. Give m(k(f)).", "a": "5*f - 1" }, { "q": "Let y(g) = -g. Let j = 120 - 90. Let k(l) = 0*l - 18*l + j*l + 38*l. Calculate y(k(a)).", "a": "-50*a" }, { "q": "Suppose -22*z = 3*z - 4*z. Let c(x) = 16 - 5 + x + 2 + z. Let o(d) = -d. Give o(c(n)).", "a": "-n - 13" }, { "q": "Let w(s) = 2*s**2. Suppose -8*j = -7*j + 3*y - 8, -14 = -3*j - 4*y. Let x be (-3)/((-1)/2*1). Let m(p) = -j + x + 12*p - 4. What is m(w(c))?", "a": "24*c**2" }, { "q": "Let q(x) = 13*x. Let i(u) = -32*u. Let k(s) = -5*i(s) - 12*q(s). Let g(y) = 22*y. Determine k(g(m)).", "a": "88*m" }, { "q": "Let q(v) = 361*v - 1. Let t(n) = 41*n + 1. Give q(t(x)).", "a": "14801*x + 360" }, { "q": "Let k(d) = d. Let a(h) = h**2 - 1. Let x = 821 + -825. Let s(c) = -4*c - 4*c**2 + 2 + 4*c. Let b(y) = x*s(y) - 8*a(y). Determine b(k(z)).", "a": "8*z**2" }, { "q": "Let b(v) = 9*v. Let s(t) = 20*t - 24. Let k(n) = -8*n + 3. Let c(a) = 24*k(a) + 3*s(a). Determine c(b(j)).", "a": "-1188*j" }, { "q": "Let z = -2668 - -2671. Let v(l) be the third derivative of -1/24*l**4 + 0*l + 0 + 0*l**z - 17*l**2. Let m(d) = -d**2. Give m(v(j)).", "a": "-j**2" }, { "q": "Let i(j) be the second derivative of j**7/504 + j**4/4 + j**3 - j - 28. Let d(b) be the third derivative of i(b). Let z(n) = n**2. Calculate d(z(a)).", "a": "5*a**4" }, { "q": "Let z(y) = -20*y**2 - 7*y + 378. Let s(n) = -17*n**2 - 6*n + 376. Let x(d) = 7*s(d) - 6*z(d). Let p(i) = 4*i**2. Calculate x(p(c)).", "a": "16*c**4 + 364" }, { "q": "Let z(x) = 16180*x + 2. Let t(u) = -31*u + 2. What is z(t(j))?", "a": "-501580*j + 32362" }, { "q": "Let f(w) = -42*w**2. Let g(p) = 2*p**2 + 3*p - 3. Let v(s) = -9*s**2 - 7*s + 7. Let x(n) = -7*g(n) - 3*v(n). Give x(f(m)).", "a": "22932*m**4" }, { "q": "Let z(x) = -3373*x**2 + x. Let q(g) = 1196*g**2. What is z(q(l))?", "a": "-4824793168*l**4 + 1196*l**2" }, { "q": "Let o(z) = -17*z**2 - 26. Let n(a) = -8*a**2 - 12. Let b(i) = -13*n(i) + 6*o(i). Let j(t) = 20*t. Calculate j(b(q)).", "a": "40*q**2" }, { "q": "Let i(s) = -s**2. Let r be (-3 - -1) + (-40)/10 + 7. Let d(j) = 1 - 195*j + 245*j - r. Give d(i(k)).", "a": "-50*k**2" }, { "q": "Let q(w) = -18*w. Let j(l) = -9126*l + 3. Calculate q(j(c)).", "a": "164268*c - 54" }, { "q": "Let z(q) be the first derivative of -19*q**2/2 - 258. Suppose c - 2*v = -3*c + 12, 0 = 5*c - 3*v - 15. Let g(u) = -u + c*u - 4*u. What is g(z(y))?", "a": "38*y" }, { "q": "Let t(i) = -8622851*i. Let l(k) = -2*k. Determine l(t(f)).", "a": "17245702*f" }, { "q": "Let v(s) = -1624*s. Let o(f) = 2720*f - 5438*f + 2716*f. Give v(o(m)).", "a": "3248*m" }, { "q": "Let s(z) = 5*z. Let b(x) be the third derivative of -7*x**5/120 + 2*x**3 + 7*x**2. Let p(n) be the first derivative of b(n). Calculate p(s(g)).", "a": "-35*g" }, { "q": "Let f = -22/137 - -340/411. Let k(m) be the first derivative of -16 - f*m**3 + 0*m**2 + 0*m. Let v(q) = -q. Determine v(k(c)).", "a": "2*c**2" }, { "q": "Let b(i) = -3*i**2 - i + 2827. Let k(m) = 17*m. What is k(b(g))?", "a": "-51*g**2 - 17*g + 48059" }, { "q": "Let h(d) = -12*d + 6*d - 6*d. Let z(b) be the second derivative of 0*b**2 - 3*b + 0*b**3 + 1/6*b**4 + 0. Determine z(h(o)).", "a": "288*o**2" }, { "q": "Let m(v) = -443*v**2. Let l(h) = -3080*h**2. Calculate l(m(g)).", "a": "-604446920*g**4" }, { "q": "Let x(c) = -31*c**2. Let w(i) = 31755*i**2. What is x(w(d))?", "a": "-31259780775*d**4" }, { "q": "Let s(c) = 6445*c. Let h(g) = 986*g**2. Give h(s(j)).", "a": "40956492650*j**2" }, { "q": "Let m(u) = u**2. Let g be -3 - (-6 - 5) - 6. Let z(d) = -28*d**2 + 2*d**2 + 29*d**g. Calculate z(m(i)).", "a": "3*i**4" }, { "q": "Let z(r) = -19*r**2 + 10*r. Let x(a) = 28*a**2 - 14*a. Let t(m) = 5*x(m) + 7*z(m). Let q(d) = 249*d. Calculate q(t(k)).", "a": "1743*k**2" }, { "q": "Let t(k) = 25*k**2 - 13*k - 4. Suppose 21 = 3*x + 60. Let s(o) = -12*o**2 + 6*o + 2. Let v(u) = x*s(u) - 6*t(u). Let m(f) = f**2. Calculate m(v(w)).", "a": "36*w**4 - 24*w**2 + 4" }, { "q": "Let k(v) = 13*v**2 - 45*v - 46. Let w be k(-1). Let c(s) be the first derivative of w + 0*s - 2/3*s**3 + 0*s**2. Let z(a) = 4*a**2. Determine c(z(t)).", "a": "-32*t**4" }, { "q": "Let g(x) = 30*x**2. Let f(n) = -95946*n**2. What is g(f(u))?", "a": "276169047480*u**4" }, { "q": "Let m(x) = -2*x**2 - 2. Let k(u) = 185*u**2 + u + 8. Let r(b) = -k(b) - 4*m(b). Let w(q) = 5*q. Determine r(w(y)).", "a": "-4425*y**2 - 5*y" }, { "q": "Let z(v) = 239*v. Let p(u) = 29141*u. Give p(z(x)).", "a": "6964699*x" }, { "q": "Let w(o) = 10575 + o - 10575. Let j(a) = -19*a. Let k(y) = -48*y. Let b(n) = 12*j(n) - 5*k(n). Give w(b(s)).", "a": "12*s" }, { "q": "Let r(q) be the first derivative of 11*q**5/20 - 75*q**2/2 + 63. Let o(m) be the second derivative of r(m). Let t(s) = -2*s. Calculate t(o(c)).", "a": "-66*c**2" }, { "q": "Let d(l) = -1373*l. Let v(q) = -27*q**2 + 8*q + 8. Let s(z) = 10*z**2 - 3*z - 3. Let x(n) = -8*s(n) - 3*v(n). Determine x(d(y)).", "a": "1885129*y**2" }, { "q": "Let j(u) = 20490015*u**2. Let p(t) = -t**2. Calculate p(j(w)).", "a": "-419840714700225*w**4" }, { "q": "Let r(j) be the first derivative of -37/3*j**3 + 0*j**2 - 58 + 0*j. Let u(o) = -4*o**2 + 3*o**2 + 3*o**2. Give u(r(d)).", "a": "2738*d**4" }, { "q": "Let q(x) be the first derivative of 81*x**2/2 - 66*x - 58. Let k(d) = -5*d + 4. Let t(w) = -33*k(w) - 2*q(w). Let h(c) = -7*c. Determine h(t(u)).", "a": "-21*u" }, { "q": "Let c(d) = -14*d**2. Let a(i) = -6*i + 60. Let q be a(10). Let g(j) be the third derivative of 16*j**2 + q*j**3 + 0 - 1/24*j**4 + 0*j. What is g(c(p))?", "a": "14*p**2" }, { "q": "Let h(j) = -652*j. Let a(u) = -38*u + 125. What is h(a(w))?", "a": "24776*w - 81500" }, { "q": "Let y(v) = -12*v**2 + 10*v. Let p(a) = 19*a**2 - 16*a. Let c(b) = -5*p(b) - 8*y(b). Let u(h) = -24*h**2 - 29*h**2 + 10*h**2. Determine u(c(k)).", "a": "-43*k**4" }, { "q": "Let h(v) = 46*v**2. Let a(k) be the third derivative of -3*k**4/8 - 5*k**3/6 + k**2 - 7*k. Let n(u) = 2*u + 1. Let q(i) = -a(i) - 5*n(i). What is q(h(j))?", "a": "-46*j**2" }, { "q": "Let l(j) = -j**2 + 0*j**2 + 2*j**2. Let x(d) = -2. Let w(i) be the second derivative of 23*i**3/6 + 3*i**2 - 88*i. Let c(q) = w(q) + 3*x(q). Determine l(c(y)).", "a": "529*y**2" }, { "q": "Let a(y) = 3*y**2 + 31*y. Let v(x) = 991*x + 1. Calculate v(a(m)).", "a": "2973*m**2 + 30721*m + 1" }, { "q": "Let i(y) = -51 + 51 - 109*y + 108*y. Let c(u) be the first derivative of -12*u**3 + 20. Determine c(i(b)).", "a": "-36*b**2" }, { "q": "Let x(v) = 4*v**2 - 22*v**2 + 0 - 12 + 1 + 12*v**2. Let s(a) = 7*a. What is x(s(d))?", "a": "-294*d**2 - 11" }, { "q": "Let c(x) be the third derivative of -x**4/8 + 1422*x**2. Let w(s) = -90*s**2. Calculate c(w(l)).", "a": "270*l**2" }, { "q": "Let y(s) be the first derivative of 73 + 0*s**2 + 10/3*s**3 + s. Let i(b) = b**2. Give i(y(h)).", "a": "100*h**4 + 20*h**2 + 1" }, { "q": "Let g(a) = -33*a**2. Let o(f) = -365317*f**2. Calculate g(o(l)).", "a": "-4404064846137*l**4" }, { "q": "Let m = 39 - 32. Let u = 36 + m. Let y(z) = u*z - 89*z + 39*z. Let n(p) = -2*p. Determine n(y(g)).", "a": "14*g" }, { "q": "Let z(c) be the first derivative of -c**4/12 + c**2/2 + 41*c - 78. Let o(f) be the second derivative of z(f). Let d(j) = -12*j - 2. Give d(o(u)).", "a": "24*u - 2" }, { "q": "Let t(g) = 23*g - 8 + 8 - 25*g - 22*g. Let x(b) = -47*b**2. Determine t(x(u)).", "a": "1128*u**2" }, { "q": "Let q(c) = -27 - 16*c - 19 + 46. Let v(w) = 59*w. Determine v(q(r)).", "a": "-944*r" }, { "q": "Let j(h) = 3*h. Let y(b) = -b**2 + 212*b. What is y(j(k))?", "a": "-9*k**2 + 636*k" }, { "q": "Let k(n) = n. Let s(x) = -3*x**2 - 6*x - 61110. What is s(k(b))?", "a": "-3*b**2 - 6*b - 61110" }, { "q": "Let i(l) = -12293*l - 2. Let f(u) = -2*u - 56. Calculate f(i(c)).", "a": "24586*c - 52" }, { "q": "Let x(q) = -2*q**2. Let c(l) be the second derivative of -l**4/12 + 11*l**3/6 + 18*l. Let u be c(8). Let s(t) = u*t + 23*t - 53*t. Determine x(s(h)).", "a": "-72*h**2" }, { "q": "Let g(c) = -c. Let a(z) be the second derivative of 0 + 6*z + 0*z**4 + 0*z**2 + 3/2*z**3 + 1/40*z**5. Let l(y) be the second derivative of a(y). Give l(g(v)).", "a": "-3*v" }, { "q": "Let l = 8 + -6. Let a(f) = 6*f**l + 2*f**2 - 4*f**2 + 2*f**2. Let i(p) = -1. Let k(h) = 3*h - 4. Let j(z) = 4*i(z) - k(z). Determine j(a(u)).", "a": "-18*u**2" }, { "q": "Let m(f) be the second derivative of 0*f**2 + 0 + 8*f + 11/12*f**4 + 0*f**3. Let q(j) = 1 + 900*j - 1 - 899*j. Calculate q(m(d)).", "a": "11*d**2" }, { "q": "Let x(a) = 2*a**2. Let g(r) = -13281588*r. Give x(g(d)).", "a": "352801159603488*d**2" }, { "q": "Let y(f) = -7*f. Let h(m) = m + 10. Let j(p) = -2480. Let a(w) = -248*h(w) - j(w). Determine y(a(g)).", "a": "1736*g" }, { "q": "Let w(p) = -284*p. Let x(y) = -19*y - 6. Let g(z) = -312*z - 99. Let t(l) = -2*g(l) + 33*x(l). Calculate t(w(a)).", "a": "852*a" }, { "q": "Let r(q) = 470*q**2 + 88. Let f(n) = -20*n. Determine r(f(s)).", "a": "188000*s**2 + 88" }, { "q": "Let a(d) be the second derivative of 5*d**4/6 - d - 145. Let q(s) = 5*s**2 + 0*s**2 - s**2 + 0*s**2. Calculate q(a(o)).", "a": "400*o**4" }, { "q": "Let x(s) = 2*s**2. Let i(n) be the second derivative of -191*n**3/2 + n**2/2 - 1288*n. What is x(i(w))?", "a": "656658*w**2 - 2292*w + 2" }, { "q": "Let c(q) = -2402*q. Let a(v) = 5093097*v - v**2 - 5093097*v. What is a(c(s))?", "a": "-5769604*s**2" }, { "q": "Let j(x) be the second derivative of -x**3/2 - x. Let k be -15*16/72*144/(-5). Let g(i) = i - k + 96. Determine j(g(h)).", "a": "-3*h" }, { "q": "Let f(j) = -2*j. Let v(w) = 29*w. Let g = 2 - -1. Let c be -29*(0/(-3) + -2). Let n(u) = -551*u. Let l(q) = c*v(q) + g*n(q). What is l(f(h))?", "a": "-58*h" }, { "q": "Let m(p) = -3*p. Let a(t) = 363 + 0*t**2 - 2*t**2 + 0*t**2 + 3*t**2 - 389. Calculate a(m(c)).", "a": "9*c**2 - 26" }, { "q": "Let h = -8 + 12. Let z(i) = -3*i**2 - 3*i**2 + h*i**2. Let y(p) = -12*p**2 - 113 + 211 - 98. What is z(y(m))?", "a": "-288*m**4" }, { "q": "Let p(t) be the first derivative of -19*t**4/12 + 7*t + 14. Let r(n) be the first derivative of p(n). Let z(f) = -2*f + 1 - 1. Determine z(r(w)).", "a": "38*w**2" }, { "q": "Let j(h) = -5*h**2. Let z(s) = s**2 - 8*s + 4. Let o be z(7). Let x(p) = 4*p**2 - 3*p. Let f(w) = w**2 - w. Let k(v) = o*f(v) + x(v). What is j(k(m))?", "a": "-5*m**4" }, { "q": "Let m(a) = a**2. Let l(k) be the first derivative of -k**2 + 201*k + 176. What is m(l(b))?", "a": "4*b**2 - 804*b + 40401" }, { "q": "Let g(x) = -x. Let v(p) = -68138*p + 51. What is v(g(b))?", "a": "68138*b + 51" }, { "q": "Let x(c) = 11*c. Let t(s) be the third derivative of 0*s**3 + 0*s - 4*s**2 + 0 - 1/24*s**4. Give t(x(f)).", "a": "-11*f" }, { "q": "Let n(q) = -q. Let d(m) = -1400*m**2 - 21*m + 21. Let r(h) = 3*h**2 + h - 1. Let l(o) = d(o) + 21*r(o). Determine n(l(a)).", "a": "1337*a**2" }, { "q": "Let m(q) = -5*q**2. Let n(o) = -26*o + 11. Let d(t) = 52*t - 22. Let y(p) = 3*d(p) + 5*n(p). Let k(i) = 5*i - 2. Let r(u) = -11*k(u) + 2*y(u). Give r(m(v)).", "a": "15*v**2" }, { "q": "Let q(r) = 21*r**2 - 9*r + 18. Let z(u) = -2*u**2 + u - 2. Let p(s) = q(s) + 9*z(s). Let d(t) = 35*t**2 + 2 - 2 - 4 + 2. Give d(p(x)).", "a": "315*x**4 - 2" }, { "q": "Let l(g) = -55*g + 1. Let d(k) be the third derivative of k**5/12 + 7*k**2 + 10*k. Determine l(d(i)).", "a": "-275*i**2 + 1" }, { "q": "Let u(p) = -124575*p. Let a(i) = -30*i. Calculate a(u(c)).", "a": "3737250*c" }, { "q": "Let h(w) = -6253*w. Let v(x) = 1929*x. Determine h(v(z)).", "a": "-12062037*z" }, { "q": "Let h(w) be the second derivative of -17*w**4/12 + 2*w. Let m(g) = -5*g + 2. Let p(r) = -27*r + 11. Let j(l) = -11*m(l) + 2*p(l). Give h(j(f)).", "a": "-17*f**2" }, { "q": "Let b(j) = 4 + 2*j - 4 - 3*j**2 - 2. Let u = 742 - 741. Let d(l) = -l**2 + l - 1. Let k(s) = u*b(s) - 2*d(s). Let g(q) = -15*q**2. Calculate g(k(p)).", "a": "-15*p**4" }, { "q": "Let g(z) = -22*z - 6. Let m(r) = 59*r + 16. Let b(j) = -8*g(j) - 3*m(j). Let q(u) = -106*u**2 + 8*u. Determine b(q(c)).", "a": "106*c**2 - 8*c" }, { "q": "Let n(s) = -3*s + 10*s - 14*s + 2*s + 2*s. Let v(k) be the first derivative of -4*k**3/3 + 7*k**2/2 + 1. Give v(n(r)).", "a": "-36*r**2 - 21*r" }, { "q": "Suppose 0 = 4*x - 5*x + 5. Suppose -10 = 5*l + x*p, 0 = -2*l - 4*p - 2 - 10. Let u(b) = 4*b - 36 + 36 - l*b. Let g(j) = -7*j**2. Determine g(u(d)).", "a": "-28*d**2" }, { "q": "Let v(t) = -4*t**2 + 3*t - 1. Let h(s) = -240*s**2 + 168*s - 56. Let r(g) = 5*h(g) - 280*v(g). Let x(u) = -19*u**2. Determine x(r(m)).", "a": "-121600*m**4" }, { "q": "Let b be 3/(-12) + 2/8*13. Let p(x) = 7*x. Let k(q) = -19*q. Let m(n) = b*k(n) + 8*p(n). Let c(s) = -s**2 - 50*s. Calculate m(c(i)).", "a": "i**2 + 50*i" }, { "q": "Let q(w) = -w. Let b(h) = 1019004*h. What is q(b(v))?", "a": "-1019004*v" }, { "q": "Let q(l) = -4*l**2. Let v(h) = 679*h**2 + 685*h**2 - 117*h + 680*h**2 - 2045*h**2. What is v(q(d))?", "a": "-16*d**4 + 468*d**2" }, { "q": "Let p(g) = -3*g + 1. Let y(l) = -407547*l**2. What is p(y(u))?", "a": "1222641*u**2 + 1" }, { "q": "Let s(l) be the third derivative of 437*l**4/6 + 1389*l**2. Let i(k) = 2*k**2. What is i(s(o))?", "a": "6111008*o**2" }, { "q": "Let o(v) = -3*v**2 + 3*v**2 + 4*v**2. Let p(i) = -2*i**2 + 17*i - 6. Let l be p(7). Let r(c) = -42*c**2 + 20*c**2 + l*c**2 + 11*c**2. What is r(o(j))?", "a": "64*j**4" }, { "q": "Let y(n) be the third derivative of -n**4/24 - 241*n**2. Let z(k) = -94*k. What is z(y(b))?", "a": "94*b" }, { "q": "Let w(v) = v**2 - 24*v + 82. Let q be w(20). Let l(f) = -7*f**q - 12*f**2 + 34*f**2 + 12*f**2. Let a(b) = -3*b**2. What is l(a(m))?", "a": "243*m**4" }, { "q": "Let c(d) = 5*d - 2. Let u(x) = 1124*x**2 - 5*x. Determine u(c(q)).", "a": "28100*q**2 - 22505*q + 4506" }, { "q": "Let h(l) be the first derivative of -l**2/2 + 889. Let p(d) = 8*d - 9. Calculate h(p(g)).", "a": "-8*g + 9" }, { "q": "Let d(r) = 32*r + 2. Let v(b) = -8 + 92*b - 43*b - 52*b. Let q(t) = 4*t + 10. Let n(j) = 4*q(j) + 5*v(j). What is n(d(m))?", "a": "32*m + 2" }, { "q": "Let x(f) = -55*f**2 - 6*f + 12. Let n(l) = 715*l**2 + 77*l - 154. Let j(w) = 6*n(w) + 77*x(w). Let b(p) = -2*p**2. Calculate b(j(o)).", "a": "-6050*o**4" }, { "q": "Let z(y) = -1465*y - 1466*y + 2938*y. Let m(s) = -s**2 + 10*s. Calculate m(z(q)).", "a": "-49*q**2 + 70*q" }, { "q": "Let r(t) = -54*t + 2. Let z(h) be the first derivative of -h**5/30 + 33*h**2/2 - h + 71. Let u(d) be the second derivative of z(d). What is r(u(q))?", "a": "108*q**2 + 2" }, { "q": "Let l(x) be the third derivative of 17*x**5/60 - 1295*x**2. Let o(j) = 29*j**2. Calculate l(o(h)).", "a": "14297*h**4" }, { "q": "Let q(g) = 10*g + 0*g - g. Let z = 237 - 235. Let l(o) = -4782*o - 4*o**z + 4782*o. What is q(l(p))?", "a": "-36*p**2" }, { "q": "Let f(m) = -90*m**2. Suppose -3*i = 4*v - 1, v - 3*v = i + 1. Let o(g) = 0*g**2 + 9*g**2 - 7*g**2 - i*g**2. Give f(o(k)).", "a": "-90*k**4" }, { "q": "Let p(z) be the first derivative of -z**4/12 + 4*z**2 + 1. Let c(h) be the second derivative of p(h). Let i(f) = 4*f**2 - 15*f**2 + 10*f**2. Determine i(c(w)).", "a": "-4*w**2" }, { "q": "Let v(u) = -5*u + 1252. Let f(m) = m - 246. Let l(p) = -11*f(p) - 2*v(p). Let a(r) = r**2. Determine a(l(z)).", "a": "z**2 - 404*z + 40804" }, { "q": "Let k(i) = 362098*i**2 + 9. Let y(r) = -2*r. Give y(k(t)).", "a": "-724196*t**2 - 18" }, { "q": "Let g(a) = -50915*a**2. Let x(m) = 147*m. What is g(x(k))?", "a": "-1100222235*k**2" }, { "q": "Let d(k) = -k - 3. Let c(w) = -8*w - 20. Suppose 4*a - 15 = 5*v + a, -2*a + 12 = -4*v. Let h(q) = v*c(q) + 20*d(q). Let g(b) = 5*b**2. Give g(h(j)).", "a": "80*j**2" }, { "q": "Let s(f) = -1562563*f - 3*f**2 + 1562563*f. Let x(i) = 213*i. Determine x(s(y)).", "a": "-639*y**2" }, { "q": "Let f(u) = -2*u. Let c(m) = -m**2 + m + 2. Let z(q) = -3*q**2 - 4*q - 8. Let g be ((-66)/(-55))/((-6)/20). Let k(b) = g*c(b) - z(b). Calculate f(k(v)).", "a": "-14*v**2" }, { "q": "Let q(s) = -1918*s. Let a(v) = 7*v - 12. Let g(h) = -4*h + 8. Let u(x) = -2*a(x) - 3*g(x). Determine u(q(w)).", "a": "3836*w" }, { "q": "Let n(x) = 152037*x**2. Let v(a) = -27*a. Determine n(v(g)).", "a": "110834973*g**2" }, { "q": "Let j(i) = 1438*i**2. Let v(a) = 2196*a**2. Calculate v(j(b)).", "a": "4540985424*b**4" }, { "q": "Let k = 85 + -22. Let i(f) = 126*f - 61*f - k*f. Let m(c) = 4 - 1 - 3 - 24*c. What is m(i(s))?", "a": "-48*s" }, { "q": "Let f(o) = 823*o**2 + o + 6*o - 2*o - 796*o**2. Let a(s) = 5*s. Calculate f(a(m)).", "a": "675*m**2 + 25*m" }, { "q": "Let w(u) = 15*u**2 - 2. Let b(r) = -86*r + 22. Calculate w(b(x)).", "a": "110940*x**2 - 56760*x + 7258" }, { "q": "Let y = -6 + 8. Let a(r) = -18*r**y + 3*r**2 + 12*r**2. Let n(p) = -8*p + 4. Let z(g) = -9*g + 5. Let i(s) = 5*n(s) - 4*z(s). What is i(a(h))?", "a": "12*h**2" }, { "q": "Let f be 4/5 - (-7)/35. Suppose 3*z + 3*p = -2*z + f, 5*z = -5*p - 5. Let r(j) = 11*j**2 - 26*j**z + 16*j**2. Let u(x) = 3*x**2. What is r(u(i))?", "a": "9*i**4" }, { "q": "Let m = -2 + 6. Let q(t) = -m*t - t + 3*t. Let x(v) be the first derivative of -43*v**2/2 - 1273. Give q(x(j)).", "a": "86*j" }, { "q": "Let v(o) = -120*o. Let s(a) be the first derivative of 10*a**3/3 - 1212. Determine s(v(w)).", "a": "144000*w**2" }, { "q": "Suppose 0*i - 4*i = 4*j + 4, -3*i - 4*j - 6 = 0. Let k = 56 - 54. Let l(d) = -11*d + 0*d**2 + k*d**i + 11*d. Let a(p) = 4*p. Determine l(a(x)).", "a": "32*x**2" }, { "q": "Let x(b) = 282*b. Let g(r) = 4765*r. Determine x(g(h)).", "a": "1343730*h" }, { "q": "Let y(c) = 19*c - 6*c - 4*c - 8*c - 3*c. Let j(g) = 4587*g**2 + 297*g + 297. Let a(k) = 31*k**2 + 2*k + 2. Let u(x) = 297*a(x) - 2*j(x). What is y(u(n))?", "a": "-66*n**2" }, { "q": "Let o(c) = 45*c**2 + 292*c - 9. Let p(n) = 11*n**2 + 73*n - 2. Let m(u) = -2*o(u) + 9*p(u). Let s(a) = 2*a**2. Give m(s(v)).", "a": "36*v**4 + 146*v**2" }, { "q": "Let s(v) = 10*v**2 - 30. Let z(c) = -501*c - 12. Determine z(s(k)).", "a": "-5010*k**2 + 15018" }, { "q": "Let s(f) be the third derivative of f**4/24 + 3*f**2 + 4. Let h(w) = -897*w**2. Calculate h(s(d)).", "a": "-897*d**2" }, { "q": "Let y(s) = 25*s + 7. Let l = 74 - 91. Let x(v) = 9*v + 2. Let r(i) = l*x(i) + 6*y(i). Let m(q) = q. Calculate m(r(w)).", "a": "-3*w + 8" }, { "q": "Let q(m) be the second derivative of m**3/3 + 3*m. Let n(a) = 3*a. Let h(z) = -185*z + 91*z + 93*z + z**2. Let r(y) = -3*h(y) - n(y). Determine r(q(u)).", "a": "-12*u**2" }, { "q": "Suppose -l + 21*i - 2 = 18*i, -2*l + i + 16 = 0. Let h(g) be the first derivative of 0*g**2 + 8/3*g**3 + 0*g + l. Let s(j) = 2*j**2. Give h(s(u)).", "a": "32*u**4" }, { "q": "Let b(r) = -r**2 - 9. Let d(c) = 387*c**2 + 13*c - 5. Give d(b(p)).", "a": "387*p**4 + 6953*p**2 + 31225" }, { "q": "Let l(u) = 2*u + 1. Let z(j) = 665*j - 21. Let a(o) = -21*l(o) - z(o). Let x(s) = -4*s. Give a(x(m)).", "a": "2828*m" }, { "q": "Let d(y) = 2*y. Suppose -26*l = -20*l - 174. Let x(r) = -15*r + 64*r + 16*r + l*r. Give x(d(j)).", "a": "188*j" }, { "q": "Let z(q) = 2*q. Let b(i) = -i + 9. Let k(m) = 2104*m - 16569. Let t(l) = 5523*b(l) + 3*k(l). What is z(t(p))?", "a": "1578*p" }, { "q": "Let b(k) = -6*k**2. Let f(p) = 6*p**2 + 87*p - 15*p + 12 - 12 - 7*p**2. Determine f(b(g)).", "a": "-36*g**4 - 432*g**2" }, { "q": "Let m(t) = 207*t - 44*t - 47*t - 60*t - 49*t. Let l = -11 + 16. Let i(x) = -4*x - 3*x + l*x. Calculate i(m(k)).", "a": "-14*k" }, { "q": "Let j(b) be the second derivative of -2*b**3/3 - 2*b. Let g be ((-10)/(-3) + -3)/(-1)*-24. Let x(d) = 8*d - 22*d + 14*d + g*d**2. Determine x(j(y)).", "a": "128*y**2" }, { "q": "Let w(f) = -69*f**2 - 3*f + 103*f**2 + 4*f. Let y(h) be the third derivative of h**4/24 + 2*h**2 - 18*h. Give w(y(s)).", "a": "34*s**2 + s" }, { "q": "Let j(d) = d. Let y(n) be the first derivative of 0*n - 32 + 25/2*n**2. Give j(y(o)).", "a": "25*o" }, { "q": "Let v(u) be the second derivative of 5*u**4/12 + 5*u + 105. Let o(w) = 22*w + 6. Determine o(v(r)).", "a": "110*r**2 + 6" }, { "q": "Let r(s) = -6*s**2. Let z(m) be the second derivative of -45*m**3/2 - 2*m + 17. What is r(z(h))?", "a": "-109350*h**2" }, { "q": "Let u(i) = 2*i. Let r(p) = -5*p**2 + 9*p + 17237. Give u(r(d)).", "a": "-10*d**2 + 18*d + 34474" }, { "q": "Let m(p) = 3*p + 1. Let g(s) = -5*s**2 + 567*s + 6. Determine m(g(a)).", "a": "-15*a**2 + 1701*a + 19" }, { "q": "Let a(h) = 4*h + 39. Let s(o) = 6*o**2 - 3. What is s(a(c))?", "a": "96*c**2 + 1872*c + 9123" }, { "q": "Let g(n) = -4639*n - 4667*n + 9325*n. Let b(i) = -19*i. Determine b(g(z)).", "a": "-361*z" }, { "q": "Let y(z) = -7*z**2 - 24*z - 4. Let a(v) = -48*v**2 - 162*v - 27. Let b(x) = 4*a(x) - 27*y(x). Let s(k) = 797*k**2. Calculate b(s(c)).", "a": "-1905627*c**4" }, { "q": "Let b(p) = p. Let m(r) = 7*r - 38. Let c(u) = u - 15. Let q(i) = 3*c(i) - m(i). Determine q(b(y)).", "a": "-4*y - 7" }, { "q": "Let s = 490 - 485. Let r be ((-6)/4)/(3/(-4)). Let o(k) = -r - 3 - k + s. Let d(b) = 8*b. Give o(d(t)).", "a": "-8*t" }, { "q": "Let m(s) = -8*s**2 - 3*s + 140702. Let i(w) = w. Calculate m(i(k)).", "a": "-8*k**2 - 3*k + 140702" }, { "q": "Let a(l) = -1074*l**2. Let u(q) = 0*q**2 - 4280 - 2*q**2 + 2138 + 2142. Determine u(a(s)).", "a": "-2306952*s**4" }, { "q": "Let u be 858/154 - 3/(-7). Let t(a) = 0*a - u*a - 10*a + 7*a. Let x(i) = -2*i**2. Give t(x(b)).", "a": "18*b**2" }, { "q": "Let s(o) = -5023349 + o + 5023349. Let b(g) = -2*g + g + 0*g. What is b(s(r))?", "a": "-r" }, { "q": "Let v(t) = 4*t. Let w(o) be the first derivative of 109*o**3/3 - 2*o + 352. Give w(v(f)).", "a": "1744*f**2 - 2" }, { "q": "Let h(l) = -31*l + 3. Let d(f) = -2781961 + 2781961 - 2*f. What is h(d(m))?", "a": "62*m + 3" }, { "q": "Let b(w) = 31*w. Let a(g) = 10976*g + 10963*g - 21896*g. What is b(a(y))?", "a": "1333*y" }, { "q": "Let r(t) = 59 + 10*t**2 + 6*t**2 - 70. Let n(u) = u. What is r(n(l))?", "a": "16*l**2 - 11" }, { "q": "Let s(t) = -5029146*t. Let v(n) = -2*n. Calculate s(v(b)).", "a": "10058292*b" }, { "q": "Let i = 36 + -18. Let q(b) = i*b - 10 - 14 + 24. Let s(r) = -8*r**2. What is s(q(f))?", "a": "-2592*f**2" }, { "q": "Let i(a) = -15*a**2 + 66*a - 99. Let y(f) = f**2 - 4*f + 6. Let l(k) = 2*i(k) + 33*y(k). Let j(p) = 25*p - 1. Determine j(l(h)).", "a": "75*h**2 - 1" }, { "q": "Let t(r) = 5*r**2 + 5445*r - 7*r**2 - 5445*r. Let x(c) = -5*c**2 + 169*c. Calculate x(t(u)).", "a": "-20*u**4 - 338*u**2" }, { "q": "Let d(f) be the third derivative of 0*f**3 + 0*f + 20*f**2 + 0 - 1/20*f**5 + 0*f**4. Let v(g) = -5*g. Determine d(v(t)).", "a": "-75*t**2" }, { "q": "Let j(z) be the first derivative of -z**2/2 - 131*z + 70. Let f(h) = -65. Let d(k) = -5*f(k) + 2*j(k). Let i(t) = -t. Give d(i(n)).", "a": "2*n + 63" }, { "q": "Let m(a) = a + 1259571. Let r(x) = -x. Calculate r(m(t)).", "a": "-t - 1259571" }, { "q": "Let t(q) = -3*q - 88. Let d(g) = -30263*g. Determine d(t(u)).", "a": "90789*u + 2663144" }, { "q": "Suppose -3*i - 8 = -4*v, 7*v = 4*v + 6. Suppose 3*u - c - 7 = 0, -4*u + c + 12 - 3 = i. Let w(p) = p**u + 32 - 32. Let t(z) = 29*z**2. What is t(w(x))?", "a": "29*x**4" }, { "q": "Let c(g) = 231*g**2 - 2*g - 8. Let r(l) = -2*l**2 - l - 4. Let j(s) = 2*c(s) - 4*r(s). Let q(p) = -3*p. Determine q(j(b)).", "a": "-1410*b**2" }, { "q": "Let u = -139 + 183. Let x(f) = -25*f + u*f - 20*f. Let n(p) = -77*p**2 - 1. What is n(x(l))?", "a": "-77*l**2 - 1" }, { "q": "Suppose -3*o + 133 = 2*z, 3*o + o = -2*z + 178. Let n(u) = -o*u + 90*u - 43*u. Let p(j) = -15*j. What is p(n(y))?", "a": "-30*y" }, { "q": "Suppose -2 = -3*x + 2*x. Let k(m) = -3*m - x*m - 3*m. Let j(q) = -3*q + 2380 + 2295 - 4675. Determine j(k(d)).", "a": "24*d" }, { "q": "Let x(u) be the third derivative of u**6/360 + u**4/24 + 14*u**3/3 - u**2 - 13. Let w(t) be the second derivative of x(t). Let q(i) = 27*i**2. What is w(q(s))?", "a": "54*s**2" }, { "q": "Let t(w) be the third derivative of w**4/8 + 14*w**2 + w. Let x(n) be the first derivative of -55*n**3/3 + 38. Give x(t(y)).", "a": "-495*y**2" }, { "q": "Suppose 3*y + 26 = 4*y. Suppose j = -1, -2*h + 3*j + 32 = -3. Let v(b) = 44*b - y*b - h*b. Let w(g) = -4*g**2. Give w(v(t)).", "a": "-16*t**2" }, { "q": "Let m(o) = -6*o. Suppose 0*l - 10*l = -40. Let b(z) = -23*z**2 + 11*z - 11. Let j(n) = 8*n**2 - 4*n + 4. Let p(q) = l*b(q) + 11*j(q). Calculate m(p(s)).", "a": "24*s**2" }, { "q": "Let r(t) = 6288*t**2. Let l(g) = -683*g. What is l(r(d))?", "a": "-4294704*d**2" }, { "q": "Let j(a) = -18*a**2. Suppose 0 = -6*s + 17 - 5. Let q(z) = 13*z**s - 35*z**2 + 20*z**2. Give q(j(f)).", "a": "-648*f**4" }, { "q": "Let d(m) = 6*m + 6*m - 2*m - 3*m - 2*m. Let n(h) = -65*h**2. Determine d(n(k)).", "a": "-325*k**2" }, { "q": "Let g(d) = 81*d + 1. Let n(q) = 8*q**2 + 3*q. Let c(u) = 44*u**2 + 16*u. Let f(o) = 3*c(o) - 16*n(o). Determine f(g(s)).", "a": "26244*s**2 + 648*s + 4" }, { "q": "Let r(m) = 264*m. Let g(o) = 2*o**2 - o + 15. What is g(r(v))?", "a": "139392*v**2 - 264*v + 15" }, { "q": "Suppose 9*r - 9888 = 3*r. Let x(o) = -3 + 3 + r*o - 1646*o. Let z(v) = -v**2 + 57*v. Calculate z(x(l)).", "a": "-4*l**2 + 114*l" }, { "q": "Let i(w) = -2*w - 2. Suppose -3*d = -38 + 5. Let b(m) = -9*m - 11. Let z(y) = d*i(y) - 2*b(y). Let u(h) = -26*h - 28*h - 28*h + 80*h. Give z(u(j)).", "a": "8*j" }, { "q": "Let l(q) = 4*q**2 - 265916*q. Let g(k) = -2*k. What is g(l(i))?", "a": "-8*i**2 + 531832*i" }, { "q": "Let m(c) = 5472804*c. Let w(v) = 4*v**2. What is m(w(p))?", "a": "21891216*p**2" }, { "q": "Let h(i) = -2*i**2. Let k = -128 - -131. Let t(c) = 2*c + 25*c + k*c. What is t(h(s))?", "a": "-60*s**2" }, { "q": "Let o(r) = 2*r**2. Let l(a) be the first derivative of 1653*a**2 - 632. Give l(o(d)).", "a": "6612*d**2" }, { "q": "Let u(n) = 2*n**2. Let o(x) be the third derivative of 0*x**4 + 7/5*x**5 - 58*x**2 + 0 + 0*x + 0*x**3. Calculate o(u(m)).", "a": "336*m**4" }, { "q": "Let u(q) = 2976*q**2 + 4*q + 2. Let o(n) = 6*n. Calculate u(o(h)).", "a": "107136*h**2 + 24*h + 2" }, { "q": "Let d(w) = 102*w - 27. Let o(a) = -15*a + 4. Let v(m) = 4*d(m) + 27*o(m). Let f(q) = -532*q**2. What is f(v(k))?", "a": "-4788*k**2" }, { "q": "Let q(h) be the first derivative of h**2/2 + 1. Let c(d) = -38*d - 1 + 15 - 10 - 22*d - 4. Determine q(c(n)).", "a": "-60*n" }, { "q": "Let x(k) be the first derivative of -19*k**4/4 - 3*k - 76. Let o(b) be the first derivative of x(b). Let r(y) = -3*y. Determine r(o(s)).", "a": "171*s**2" }, { "q": "Let p(y) = -2*y. Let t(l) = -1247477*l**2. Give t(p(k)).", "a": "-4989908*k**2" }, { "q": "Let f(y) = -137*y. Let m(u) be the second derivative of -u**3/3 - 751*u. Give f(m(b)).", "a": "274*b" }, { "q": "Let b(j) = j. Let a(v) = 9*v - 18 - 6*v - 34. Let l be a(21). Let r(u) = -l*u + 7*u + 35*u. What is b(r(f))?", "a": "31*f" }, { "q": "Let x(n) = -26*n + 512. Let l(v) = -5*v + 96. Let w(c) = -16*l(c) + 3*x(c). Let r(a) = -190*a**2. Calculate w(r(y)).", "a": "-380*y**2" }, { "q": "Let g(y) = 51*y**2 + 6 + 253*y - 50*y**2 - 3 - 3. Let w(q) = -2*q**2. Determine g(w(k)).", "a": "4*k**4 - 506*k**2" }, { "q": "Let p(k) = -21*k**2. Let w(t) = 608372*t. Give p(w(c)).", "a": "-7772446298064*c**2" }, { "q": "Let j(m) = 2*m**2. Suppose -3*f + 5*v - 4 = 0, f + 9 = 4*v + 3. Let u(q) = -45*q**2 + 135*q**2 - 44*q**2 - 47*q**f. Calculate j(u(d)).", "a": "2*d**4" }, { "q": "Let y(z) be the second derivative of -z**3/2 - 3*z + 159. Let a(j) = -3*j**2 + 58. Determine y(a(c)).", "a": "9*c**2 - 174" }, { "q": "Let v(l) = -7*l. Let h(o) = -o**2 - 8*o + 2. Let d be h(-6). Suppose -16*u = -9*u - d. Let j(c) = u - 2 + 266*c**2 - 267*c**2. Give v(j(x)).", "a": "7*x**2" }, { "q": "Let f(u) = -u. Let d(i) = -933*i + 1295. Determine f(d(o)).", "a": "933*o - 1295" }, { "q": "Let p(x) = 11655622*x. Let t(i) = 2*i**2. What is t(p(v))?", "a": "271707048413768*v**2" }, { "q": "Let p(b) = 1759*b. Let r(m) be the first derivative of -m**2 + 1357. Calculate r(p(f)).", "a": "-3518*f" }, { "q": "Let j(r) = 8*r + 113*r + 1 - 44*r - 4*r + 4*r. Let g(p) = p. Calculate j(g(u)).", "a": "77*u + 1" }, { "q": "Let a(g) = g**2 + 32062. Let u(f) = -3*f. What is a(u(c))?", "a": "9*c**2 + 32062" }, { "q": "Let k(c) = -14*c**2 - 114*c. Let l(z) = -564*z**2. Determine k(l(r)).", "a": "-4453344*r**4 + 64296*r**2" }, { "q": "Let f(c) = c**3 - c**2 + 3*c - 23. Let j be f(9). Let z(g) = -323*g - 330*g + j*g. Let s(r) = 83*r + 1. Give z(s(x)).", "a": "-83*x - 1" }, { "q": "Let y(b) = -2507*b - 2520*b - 4*b**2 + 5042*b. Let t(l) = -4*l**2. What is y(t(p))?", "a": "-64*p**4 - 60*p**2" }, { "q": "Let z(h) = 131*h**2 - 4. Let w(n) = -6 + 69*n**2 - 67*n**2 + 4 + 2. What is w(z(j))?", "a": "34322*j**4 - 2096*j**2 + 32" }, { "q": "Let x(m) = 2*m. Let i be 3 - -1*(1 - 0 - 0). Suppose -b - 147 = -i*b. Let g(r) = 5*r + b - 49. Give x(g(w)).", "a": "10*w" }, { "q": "Let m(y) = 2*y**2 - y + 2. Let j(z) = -14*z**2 + 4*z - 8. Let w(f) = 3*j(f) + 12*m(f). Let p(l) = -8*l + 17*l - 8*l. Calculate w(p(v)).", "a": "-18*v**2" }, { "q": "Let v(k) be the first derivative of 13*k**3/3 - 1434. Let s(o) = 85*o. What is s(v(g))?", "a": "1105*g**2" }, { "q": "Let k(f) = 387*f. Let d(z) be the third derivative of 5*z**4/24 - 203*z**2 - z. Calculate d(k(q)).", "a": "1935*q" }, { "q": "Let o(s) = -3 - s + 2 + 1. Let h(f) be the third derivative of 0*f + 0*f**4 + 9*f**2 + 0 + 7/20*f**5 + 0*f**3. Determine h(o(r)).", "a": "21*r**2" }, { "q": "Let t(p) = -18*p - 43*p - 830 - 17*p + 9*p + 831. Let v(k) = -17*k. Give v(t(s)).", "a": "1173*s - 17" }, { "q": "Let f(w) = 52*w**2. Let v(z) be the second derivative of -7*z**4/6 + 16*z + 7. Calculate v(f(q)).", "a": "-37856*q**4" }, { "q": "Let l(u) = -u**2. Let n(v) = 318372*v. Calculate l(n(f)).", "a": "-101360730384*f**2" }, { "q": "Let y be ((-132)/(-10))/11*100/3. Let q(g) = 47*g - 87*g + y*g + 3*g**2. Let i(c) = -20*c**2. Give q(i(r)).", "a": "1200*r**4" }, { "q": "Let h(b) = 7*b**2 + 84*b. Let a(z) = -z**2 - 14*z. Let g(i) = -6*a(i) - h(i). Let d(j) = 22*j + 23. What is d(g(n))?", "a": "-22*n**2 + 23" }, { "q": "Let x(u) = -37*u + 56. Let g(s) = -74*s + 126. Let i(n) = -4*g(n) + 9*x(n). Let q(m) be the first derivative of -2*m**3/3 - 1. What is i(q(t))?", "a": "74*t**2" }, { "q": "Let g(c) = 3188*c**2 + 3 - 1588*c**2 - 1601*c**2 + 10*c - 3. Let h(q) = q. What is g(h(m))?", "a": "-m**2 + 10*m" }, { "q": "Let g(f) = 10*f. Let d(t) = -t**3 + 14*t**2 - 6*t + 19. Let v be d(14). Let s be (-6)/(-39) + (-185)/v. Let a(b) = 87 - 87 - s*b. What is a(g(i))?", "a": "-30*i" }, { "q": "Let n(m) = m. Let t(g) = -3*g. Let s(f) = 2*n(f) + t(f). Let o(p) = 26 + 172*p**2 - 86*p**2 - 87*p**2. Give o(s(v)).", "a": "-v**2 + 26" }, { "q": "Let u(r) = 11*r. Let n(i) = 39*i. Suppose -4*d - 2*h + 10 = 0, 2*d - 2*h = h + 25. Let t(x) = d*n(x) - 18*u(x). Let g(w) = 629 - 629 - 2*w**2. What is g(t(z))?", "a": "-18*z**2" }, { "q": "Let c(v) = 4*v**2. Let r(l) = -l - 3. Let b(q) = 4*q + 24. Let i(s) = -b(s) - 5*r(s). Calculate i(c(a)).", "a": "4*a**2 - 9" }, { "q": "Let q(f) = -f**2. Let u(h) be the second derivative of -41*h**6/360 + h**3/6 + 25*h**2/2 - 2*h + 10. Let n(s) be the second derivative of u(s). Give n(q(x)).", "a": "-41*x**4" }, { "q": "Let f(x) = -939501*x**2. Let y(j) = 8*j. Give f(y(z)).", "a": "-60128064*z**2" }, { "q": "Let g(c) = -712*c. Let d(v) = -1422*v. Give g(d(n)).", "a": "1012464*n" }, { "q": "Let h(q) = 793*q**2. Let n(l) = -16*l**2 - 2*l + 2. Determine n(h(a)).", "a": "-10061584*a**4 - 1586*a**2 + 2" }, { "q": "Let l(r) = 68*r**2. Let n(f) be the third derivative of -3*f**4/4 - 828*f**2. Calculate n(l(v)).", "a": "-1224*v**2" }, { "q": "Let x(t) be the first derivative of -5*t**2/2 + 5. Let g(y) = -183*y - 27. Let u(r) = 34*r + 5. Let f(b) = 5*g(b) + 27*u(b). What is f(x(a))?", "a": "-15*a" }, { "q": "Let j(x) = 45*x**2 - x + 2. Let g(p) = 4383*p. Calculate j(g(a)).", "a": "864481005*a**2 - 4383*a + 2" }, { "q": "Let t(y) = -17*y**2 - 3*y**2 - y**2. Let c(s) = 28*s**2 - 3*s. Let x(g) = 93*g**2 - 10*g. Let o(d) = 10*c(d) - 3*x(d). Calculate t(o(b)).", "a": "-21*b**4" }, { "q": "Let v(c) = 3*c**2 - 199. Let f(y) = -2*y**2 + 30*y - 15. Let b(m) = -6*m**2 + 84*m - 42. Let a(q) = -5*b(q) + 14*f(q). Calculate v(a(t)).", "a": "12*t**4 - 199" }, { "q": "Let u(y) = y**2 + y - 8. Let b(k) = 58*k**2 + 87*k - 696. Let o(w) = -b(w) + 87*u(w). Let z(g) = 16*g**2 - 3. Determine z(o(s)).", "a": "13456*s**4 - 3" }, { "q": "Let a(k) = -931*k**2 - 9*k. Let g(d) = 1435600*d**2 + 13875*d. Let z(x) = -4625*a(x) - 3*g(x). Let f(r) = -2*r**2. Calculate z(f(i)).", "a": "-3700*i**4" }, { "q": "Let z(r) = 5 + 4*r - 4 - 1. Let p = -61 - -120. Let t(n) = 5*n + 28 - p + 31. Give t(z(q)).", "a": "20*q" }, { "q": "Let i(m) = -m. Let z(u) = -80248*u - 3. Determine z(i(x)).", "a": "80248*x - 3" }, { "q": "Let w(m) = -6*m**2. Let u(c) be the second derivative of 15*c**4/4 - 15*c. Let n(p) = 11*p**2. Let b(l) = -9*n(l) + 2*u(l). Determine w(b(t)).", "a": "-486*t**4" }, { "q": "Let p(h) be the second derivative of 5*h**4/6 + 1400*h. Let c(w) = 40*w**2. Determine p(c(x)).", "a": "16000*x**4" }, { "q": "Let n(c) = 2*c**2 - 6*c**2 - 5*c**2. Let w(u) = 10*u**2 + 66. Let k(q) = 7*q**2 + 48. Let v(p) = 11*k(p) - 8*w(p). Determine v(n(a)).", "a": "-243*a**4" }, { "q": "Let o(f) = 96920*f. Let b(v) = 5*v**2. Calculate b(o(x)).", "a": "46967432000*x**2" }, { "q": "Let h(k) be the third derivative of k**4/8 + 87*k**2. Let x(g) be the second derivative of -3*g**3 - 3*g**3 - 2*g + 7*g**3. What is x(h(p))?", "a": "18*p" }, { "q": "Let f(t) be the third derivative of -t**5/60 - 3201*t**2 + 1. Let j(s) = s - 7 - 27 - 3. Give f(j(p)).", "a": "-p**2 + 74*p - 1369" }, { "q": "Let s(h) = -h**2 + 6*h + 24. Let b be s(8). Let o be 12/b*-3*16/(-18). Let u(d) = 6*d**2 - 2*d**2 + o*d**2 - 2*d**2. Let j(t) = 4*t**2. Calculate j(u(r)).", "a": "144*r**4" }, { "q": "Suppose 4*f = -67 + 87. Let v(r) = 23*r**2 - f*r**2 - 14*r**2. Let m(g) = -2*g. Calculate v(m(h)).", "a": "16*h**2" }, { "q": "Let n(f) = -14*f**2. Let u be ((-2)/8 - 0)/(30/(-120)). Let s be 2 - 0*u/(-4). Let m(r) = -152*r + 2*r**s - 157*r + 309*r. Give n(m(w)).", "a": "-56*w**4" }, { "q": "Let h(o) = 9*o. Let b(q) = 87*q**2 + 18*q + 8. Let k(f) = 267*f**2 + 57*f + 25. Let i(l) = -19*b(l) + 6*k(l). Calculate i(h(v)).", "a": "-4131*v**2 - 2" }, { "q": "Let y(q) = -8 + 5*q + 0*q + q - q. Let d(t) be the first derivative of -2*t**3/3 - 219. Calculate y(d(l)).", "a": "-10*l**2 - 8" }, { "q": "Let p(i) = -510353*i. Let u(j) = 2*j. What is p(u(k))?", "a": "-1020706*k" }, { "q": "Let p(b) = -2054*b. Let x(o) = 382 - o + 430 - 812. Give p(x(j)).", "a": "2054*j" }, { "q": "Let z be (-52)/(-24) + 2*1/(-12). Let t(l) = l**2 + 0*l**z + 13 - 13. Let o(g) = g. Let u(k) = -4*k. Let s(v) = 2*o(v) + u(v). Determine t(s(w)).", "a": "4*w**2" }, { "q": "Let x(z) = -117*z + 5. Let d(l) = -47*l + 2. Let s(o) = -5*d(o) + 2*x(o). Let c(j) = 84*j**2. Determine c(s(i)).", "a": "84*i**2" }, { "q": "Let h(w) = 6*w. Let z = -19 - -71. Let u(o) = -52 + z + o. Let y(g) = 6*h(g) - 33*u(g). Let t(l) = 2*l**2. What is t(y(c))?", "a": "18*c**2" }, { "q": "Let d(j) = -239*j**2 + 4*j + 4. Let t(y) = 240*y**2 - 3*y - 3. Let x(l) = 9*d(l) + 12*t(l). Let h(i) = -i**2. Give x(h(q)).", "a": "729*q**4" }, { "q": "Let v(q) = -q**2. Suppose 3*y = 15*y - 480. Let m(j) = y - 75*j + 37*j + 39*j. What is v(m(d))?", "a": "-d**2 - 80*d - 1600" }, { "q": "Suppose -8*a + 5*a - 19 = -2*l, -l + 12 = -2*a. Let r(x) be the third derivative of 5/12*x**4 + 0*x + 0*x**3 + 3*x**l + 0. Let w(p) = 2*p**2. Determine r(w(z)).", "a": "20*z**2" }, { "q": "Let o(i) = 504*i. Let x(w) = 60768 + 2*w - 60768. What is o(x(j))?", "a": "1008*j" }, { "q": "Let m(v) = -15*v + 185. Let c(k) = 62*k**2 - 2. What is m(c(p))?", "a": "-930*p**2 + 215" }, { "q": "Let u(w) = 15*w - 21*w + 4*w. Let s(n) be the first derivative of -7*n**3/2 - 8*n + 11. Let p(v) be the first derivative of s(v). Give u(p(r)).", "a": "42*r" }, { "q": "Let h(v) = -v. Let l(w) = 753*w**2 - 4*w. Let j(p) = -200291*p**2 + 1065*p. Let m(r) = -4*j(r) - 1065*l(r). Determine h(m(t)).", "a": "781*t**2" }, { "q": "Let r(q) be the first derivative of -q**3/3 + 11. Let s(j) = j**3 - j + 6. Let o be s(0). Let d(v) = -8*v - v + o*v. Give r(d(w)).", "a": "-9*w**2" }, { "q": "Let m(s) be the first derivative of 2*s**2 - 2806. Let f(n) = -1 + 13*n**2 + 1. Calculate m(f(l)).", "a": "52*l**2" }, { "q": "Let z(i) = -9*i**2. Let n(c) be the first derivative of 36 + 3*c**2 - 3*c**2 - 8 + c**3. What is z(n(g))?", "a": "-81*g**4" }, { "q": "Let a(z) = 25*z**2 - 2*z + 4. Let u(p) = 202*p**2 - 17*p + 34. Let j(m) = 17*a(m) - 2*u(m). Let k(y) = 2*y - 17. Determine k(j(o)).", "a": "42*o**2 - 17" }, { "q": "Let p(a) = 337*a. Let c(h) = 3*h**2 - 270*h - 7. What is c(p(q))?", "a": "340707*q**2 - 90990*q - 7" }, { "q": "Let f(y) = 53688*y**2. Let n(l) = -73*l. Determine f(n(r)).", "a": "286103352*r**2" }, { "q": "Let g be 3/(-1) + 175/35. Let a(w) = 77*w + 2*w**g - 77*w. Let t(f) = -36*f. Determine t(a(p)).", "a": "-72*p**2" }, { "q": "Let o(f) = -2*f**2. Suppose 0 = 3*x + 74*x. Let y(m) be the third derivative of x*m**3 + 15*m**2 + 0 + 0*m + 7/8*m**4. Determine y(o(g)).", "a": "-42*g**2" }, { "q": "Let r(g) be the second derivative of g**3/3 + 2*g. Let y(o) be the second derivative of -5/2*o**4 + 1 + 19*o + 0*o**2 + 0*o**3. Give y(r(z)).", "a": "-120*z**2" }, { "q": "Let t(q) = -56*q - 4. Let w(m) = -2*m - 35. What is w(t(l))?", "a": "112*l - 27" }, { "q": "Let p(k) = 5*k. Suppose 10*n - 38 = 8*n. Let a(j) = -24*j + n*j - 23*j. What is p(a(q))?", "a": "-140*q" }, { "q": "Let p(s) = -4*s**2 + 7*s - 662. Let t(r) = -7*r**2. Determine p(t(q)).", "a": "-196*q**4 - 49*q**2 - 662" }, { "q": "Let k(y) = -2*y. Let h(d) = -d - 168005. Give k(h(a)).", "a": "2*a + 336010" }, { "q": "Suppose -4*m = -2*m + 3*q - 37, 2*q = m - 36. Let n(j) = m*j - 8*j - 6*j + 8*j. Let p(r) = -2*r**2. Calculate n(p(s)).", "a": "-40*s**2" }, { "q": "Let m(x) = -3*x**2. Let u(a) = -21950*a**2 - 100*a - 100. Let d(j) = 665*j**2 + 3*j + 3. Let l(q) = 100*d(q) + 3*u(q). Determine m(l(b)).", "a": "-1267500*b**4" }, { "q": "Let j(g) = -28*g. Let n(o) = 10*o**2 - 8*o**2 - 7*o**2. Let d(i) = -i**3 + 2*i**2 - 3*i. Let t be d(2). Let r(k) = k**2. Let u(z) = t*r(z) - n(z). Give j(u(c)).", "a": "28*c**2" }, { "q": "Suppose 286 = 10*a - 1404. Let n(s) = a - s**2 - 169. Let w(u) be the first derivative of u**3/3 + 4. What is n(w(z))?", "a": "-z**4" }, { "q": "Let v(b) = -34*b + 14*b + 10*b + 4*b + 8*b. Let c(p) = 725*p. What is c(v(u))?", "a": "1450*u" }, { "q": "Let h(t) = t + 1. Let k be (4 + -2)/(2/4). Let q(d) = 6*d + 4. Let x(s) = k*h(s) - q(s). Let g(j) be the third derivative of -5*j**5/12 + 9*j**2. Give x(g(c)).", "a": "50*c**2" }, { "q": "Suppose 5*p - k + k = 4*k, -2*k = -5*p. Let c(f) be the second derivative of p*f**2 - 1/6*f**3 - 9*f + 0. Let g(r) = -r. Determine c(g(t)).", "a": "t" }, { "q": "Let w(i) = 3*i**2. Let p(b) = 6*b**2 + 4*b. Let a(q) = -50 + 13*q**2 + 9*q - 49 + 99. Let k(v) = 4*a(v) - 9*p(v). Give w(k(l)).", "a": "12*l**4" }, { "q": "Let x = 146 - 109. Let y(b) = 38*b - 49*b + x*b. Let i(s) = -s**2. Calculate y(i(o)).", "a": "-26*o**2" }, { "q": "Let s(h) = 39*h. Let x(o) = o**3 - 3*o**2 - 3*o. Let l be x(0). Let f(z) be the first derivative of -2/3*z**3 - 5 + 0*z + l*z**2. What is s(f(b))?", "a": "-78*b**2" }, { "q": "Let u(j) be the first derivative of 4*j**3/3 + 701. Let c(d) = -644*d. Give c(u(w)).", "a": "-2576*w**2" }, { "q": "Let r(f) = -4*f. Let x(i) = -8*i + 10*i + 20*i - 25*i + 12*i. Calculate r(x(u)).", "a": "-36*u" }, { "q": "Let j(l) = 141*l - 63*l - 77*l. Let p(h) = -548*h. Calculate j(p(k)).", "a": "-548*k" }, { "q": "Let l(q) = -5979*q. Let j(w) = 1060*w**2 - w. What is l(j(s))?", "a": "-6337740*s**2 + 5979*s" }, { "q": "Let x(a) = -2*a. Let s(h) = 6631455*h. Give x(s(i)).", "a": "-13262910*i" }, { "q": "Let w(t) = -5*t + 4*t - t. Let x(n) = -4*n - 6. Let r be x(-4). Let l(j) = 29*j + 9 + r - 19. Calculate w(l(v)).", "a": "-58*v" }, { "q": "Let u(o) = 1696*o**2 + 1650. Let g(h) = -3*h**2. What is u(g(a))?", "a": "15264*a**4 + 1650" }, { "q": "Let l = 18811/30 - 627. Let w(i) be the third derivative of l*i**5 + 0*i + 0*i**3 - i**2 + 0*i**4 + 0. Let k(j) = -2*j. Give k(w(v)).", "a": "-4*v**2" }, { "q": "Let o(z) be the second derivative of -53*z**4/12 + 42*z. Let a(t) = -264*t**2. Let h(j) = 4*a(j) - 22*o(j). Let y(m) = m**2. Determine h(y(r)).", "a": "110*r**4" }, { "q": "Let k(o) = 5*o**2 - 6*o + 3. Let j(p) = 9*p**2 - 10*p + 5. Let l(y) = 3*j(y) - 5*k(y). Let f(w) = 3234*w. Determine f(l(d)).", "a": "6468*d**2" }, { "q": "Let h(f) = -7*f**2 + 74423*f - 74423*f. Let d(t) = -190*t. Give d(h(m)).", "a": "1330*m**2" }, { "q": "Let u(d) = -2*d. Let y(q) be the second derivative of -1/6*q**3 - 69*q + 1 + 0*q**2. Determine y(u(j)).", "a": "2*j" }, { "q": "Let o be -18*3/(18/(-33)). Let m(x) = o*x - 56*x - 52*x. Let z(f) = -4*f. Give m(z(u)).", "a": "36*u" }, { "q": "Let i(v) = -7*v - 9*v + v. Let f(k) be the first derivative of k**4/12 + 3*k - 26. Let z(h) be the first derivative of f(h). Give i(z(c)).", "a": "-15*c**2" }, { "q": "Let h(q) be the third derivative of q**4/12 - q**2. Let t(x) be the second derivative of -6 - 7*x - 1/2*x**4 + 0*x**2 + 0*x**3. Calculate t(h(b)).", "a": "-24*b**2" }, { "q": "Suppose 3*w + 126 = 4*j - 174, 2*j + 3*w - 168 = 0. Suppose -5*q - 8 = -j. Let c(s) = -12*s**2 + 21*s**2 - q*s**2. Let l(o) = o. Determine c(l(t)).", "a": "-5*t**2" }, { "q": "Let h(c) = 6623811*c. Let l(v) = -3*v**2. Calculate l(h(y)).", "a": "-131624616491163*y**2" }, { "q": "Let g(n) = 7*n. Let b(v) = 60*v**2 - 96*v**2 + 56*v**2 + 52*v**2. Calculate g(b(c)).", "a": "504*c**2" }, { "q": "Let l(z) = -4*z**2. Suppose -5*o + 820 = 5*h, -o - 457 - 35 = -3*h. Let t = -41 + 41. Let y(x) = 164 + t*x - h - 3*x. What is y(l(i))?", "a": "12*i**2" }, { "q": "Let m(h) = h**2. Let r(w) = -3*w + 4669744. Determine r(m(s)).", "a": "-3*s**2 + 4669744" }, { "q": "Let z(u) = 32*u**2. Let s(j) = 204*j**3 - 2*j**2 + 5*j - 4. Let i be s(1). Let l(w) = -98*w + i*w - 102*w. What is z(l(y))?", "a": "288*y**2" }, { "q": "Let x(p) = 22*p**2. Let m(h) = -100271*h**2. Calculate x(m(a)).", "a": "221194015702*a**4" }, { "q": "Let i(z) = 181*z + 25. Let c(b) = 270*b + 35. Let t(a) = 5*c(a) - 7*i(a). Let p(k) = 4*k**2. Give p(t(m)).", "a": "27556*m**2" }, { "q": "Let q(g) = -2*g. Let p = -150 + 144. Let c(s) = -10388*s - 1274. Let a(r) = -98*r - 12. Let f(u) = p*c(u) + 637*a(u). Determine f(q(h)).", "a": "196*h" }, { "q": "Let i(z) = -35814*z. Let p(t) = -3*t**2 - 30. Calculate p(i(d)).", "a": "-3847927788*d**2 - 30" }, { "q": "Let i(o) = 29*o**2 + 5*o - 5. Let b(f) = 3*f - 453*f**2 + 467*f**2 + 1 - 4. Let h(p) = 5*b(p) - 3*i(p). Let k(c) = -4*c. Give h(k(s)).", "a": "-272*s**2" }, { "q": "Let f(v) = -5 + 102*v**2 - 19 + 20 + 4. Let n(d) = 3*d**2 - 17*d - 17. Let k(l) = -l**2 + 6*l + 6. Let p(r) = 17*k(r) + 6*n(r). Determine p(f(h)).", "a": "10404*h**4" }, { "q": "Let b(k) = 413*k - 9. Let w(o) = -367*o + 8. Let u(l) = -8*b(l) - 9*w(l). Let v(c) = -9*c - 5*c - 3*c. What is v(u(a))?", "a": "17*a" }, { "q": "Let b(p) = 8*p. Let i(c) = 3*c. Let d(o) = -4*b(o) + 11*i(o). Let r(n) be the second derivative of 17*n**4/3 + 4*n + 1058. Calculate d(r(q)).", "a": "68*q**2" }, { "q": "Let r = -22 - 4. Let q = r + 42. Let n(m) = 28*m**2 - 24*m**2 - q*m**2. Let o(i) = -i**2. Give n(o(f)).", "a": "-12*f**4" }, { "q": "Let c(p) = -4*p + 59. Let d(a) = 2*a + 1064. Determine d(c(h)).", "a": "-8*h + 1182" }, { "q": "Let s(g) be the first derivative of 2*g**3/3 + g**2 + 1239. Let r(i) = 4*i**2. Give r(s(b)).", "a": "16*b**4 + 32*b**3 + 16*b**2" }, { "q": "Let r(j) = -6*j. Let k = 239 + -230. Let y(m) = 3*m. Let a(p) = -5*p - 1. Let s be a(-1). Let t(g) = k*y(g) + s*r(g). Let n(q) = -2*q. What is t(n(w))?", "a": "-6*w" }, { "q": "Let c = -7 - -15. Let d(x) = -c*x**2 + 8 - 8. Let h(s) = -55*s**2 + 106*s**2 - 54*s**2. Calculate h(d(y)).", "a": "-192*y**4" }, { "q": "Let w(z) = -18*z. Let d(j) be the first derivative of 20*j**3 - 787. Determine w(d(l)).", "a": "-1080*l**2" }, { "q": "Let f(o) = 5*o**2 - 2*o - 2. Let s be f(3). Let h(r) = 38*r**2 - s*r**2 + 5*r - 5*r. Let k(c) be the second derivative of -7*c**4/6 + 6*c. Give k(h(i)).", "a": "-14*i**4" }, { "q": "Let f be (6/18)/(2/126). Let k = 37 - f. Let a(j) = 10 - k - j + 6. Let t(u) = -6*u. Give a(t(z)).", "a": "6*z" }, { "q": "Let m(a) be the first derivative of 2*a + 31*a**3 - 2*a - 51 + 64. Let v(t) = -t**2. Give v(m(l)).", "a": "-8649*l**4" }, { "q": "Let s(q) = 5*q - 5. Let g be s(11). Let r = g + -44. Let a(i) = 4*i - 6*i + r*i - i. Let p(y) = -3*y. Give a(p(x)).", "a": "-9*x" }, { "q": "Let c(f) = -f. Let x(k) = -11*k. Let d(o) = -33*c(o) + x(o). Let q(l) = -65*l**2 + 203*l**2 - 59*l**2 - 77*l**2. Calculate q(d(p)).", "a": "968*p**2" }, { "q": "Let m(w) = 3539*w - 72. Let g(p) = 21235*p - 420. Let r(a) = -6*g(a) + 35*m(a). Let i(j) = -2*j**2. What is r(i(k))?", "a": "7090*k**2" }, { "q": "Let q(o) = -3 + 0 + 2*o - 6 - 3 + 22. Let l(x) = -17*x**2. Give q(l(h)).", "a": "-34*h**2 + 10" }, { "q": "Let i(z) = 2*z. Let p(m) = -3167*m**2 + 1727*m**2 + 1767*m**2. Calculate i(p(c)).", "a": "654*c**2" }, { "q": "Let o(m) = 15780*m - 8. Let t(h) = 4*h. Determine o(t(j)).", "a": "63120*j - 8" }, { "q": "Let o(t) be the first derivative of t**3 + 9*t + 2660. Let q(m) = -1. Let v(c) = c - 1. Let j(i) = -q(i) + v(i). Determine o(j(x)).", "a": "3*x**2 + 9" }, { "q": "Let b(n) be the third derivative of -n**4/8 - 2*n**2. Let u = -144 + 146. Let l(k) = -8*k + u*k + 0*k + 2*k. Determine l(b(s)).", "a": "12*s" }, { "q": "Let m(n) = 11*n. Let i(y) = -30*y + 46. Let o(l) = l + 11. Let g(c) = -i(c) + 4*o(c). What is m(g(b))?", "a": "374*b - 22" }, { "q": "Let t(c) = 68*c - 138*c + 72*c. Let w(f) = -f + 36. Let a be w(0). Let h(r) = -r**2 - a + 36. Calculate t(h(s)).", "a": "-2*s**2" }, { "q": "Let z(x) = 1473*x - 2891*x - 1 + 1427*x. Let q(v) = 22*v**2. Calculate z(q(s)).", "a": "198*s**2 - 1" }, { "q": "Let l(a) = 27116 + a - 27116. Let n(r) = -28*r**2 + 4*r. Let c(k) = -29*k**2 + 3*k. Let y(b) = 4*c(b) - 3*n(b). Determine y(l(p)).", "a": "-32*p**2" }, { "q": "Let k(t) = 958533*t. Let h(m) = 19*m**2. Determine h(k(l)).", "a": "17456924729691*l**2" }, { "q": "Let w(g) = g**2 - 7*g + 13. Let i(b) = -b. Let k be i(-5). Let t be w(k). Let f(p) = -4 - t*p + 4 + 5*p. Let z(o) = 40*o**2. Calculate z(f(m)).", "a": "160*m**2" }, { "q": "Let y(h) = -3 + 30*h**2 - 1 + 27*h**2 - 72*h**2 + 21*h**2. Let c(k) = -29*k. Give c(y(a)).", "a": "-174*a**2 + 116" }, { "q": "Let v(r) = -3*r**2 - 760*r + 1. Let l(g) = -3*g - 8. Calculate v(l(x)).", "a": "-27*x**2 + 2136*x + 5889" }, { "q": "Let n(z) = -z - 280. Let p(x) = 25*x**2 + 40*x - 10. Let c(g) = 2*g**2 + 4*g - 1. Let o(h) = 10*c(h) - p(h). Give n(o(v)).", "a": "5*v**2 - 280" }, { "q": "Let p(t) = -2*t. Let c = 45 - 43. Let g(f) = f. Let k(l) = c*p(l) + 5*g(l). Let d(u) be the second derivative of -5*u**4/6 + 5*u. Determine k(d(m)).", "a": "-10*m**2" }, { "q": "Let u(q) = -4*q + 18. Let h(t) = 25466 + t - 25466. Calculate h(u(r)).", "a": "-4*r + 18" }, { "q": "Let p(a) = -119*a + 240. Let x be p(2). Let m(w) be the first derivative of 7 + 0*w**x + 0*w - 34/3*w**3. Let s(h) = h. Determine m(s(b)).", "a": "-34*b**2" }, { "q": "Let p(u) = 140*u**2 + 4. Let x(a) = 3*a**2 - 4*a. Let j(z) = 17*z**2 - 22*z. Let s(w) = 4*j(w) - 22*x(w). Calculate p(s(k)).", "a": "560*k**4 + 4" }, { "q": "Let m(c) = -42*c. Suppose 3*y - g - 16 = 0, -5*y + 2*y + 20 = -2*g. Suppose 138 + 310 = y*x. Let k(h) = -h - x + 112. What is k(m(j))?", "a": "42*j" }, { "q": "Let r(l) be the first derivative of l**3 + 396. Let z(a) = 140*a**2. Calculate r(z(u)).", "a": "58800*u**4" }, { "q": "Let d(w) be the first derivative of -3*w**4/4 + 51*w + 33. Let q(g) be the first derivative of d(g). Let f(a) = -11*a. Calculate f(q(o)).", "a": "99*o**2" }, { "q": "Let f(h) be the third derivative of -h**4/24 - 3*h**2. Let k(l) = -76*l - 38. Let s(r) = -15*r - 8. Let d(u) = 3*k(u) - 14*s(u). Give d(f(p)).", "a": "18*p - 2" }, { "q": "Let o(w) = -4*w**2 + 304*w + 4. Let r(a) = -202*a. Calculate o(r(h)).", "a": "-163216*h**2 - 61408*h + 4" }, { "q": "Let j(x) = x + 8. Let w(i) = -5*i + 32. Let l(p) = -3*j(p) + w(p). Let g(q) = -14*q**2. What is l(g(y))?", "a": "112*y**2 + 8" }, { "q": "Let r(t) = 5*t**2. Let j(z) = -57*z + 7. Let i be j(-7). Suppose -12*b + 5*b = -i. Let h(o) = 30*o**2 - b*o**2 + 34*o**2. Calculate h(r(n)).", "a": "150*n**4" }, { "q": "Let l(y) = -44*y**2. Let m(t) = 69950*t**2. Calculate m(l(h)).", "a": "135423200*h**4" }, { "q": "Let a(n) be the first derivative of n**5/60 - 23*n**3/3 + 47. Let t(y) be the third derivative of a(y). Let q(f) = 24*f. What is q(t(k))?", "a": "48*k" }, { "q": "Let u(x) be the second derivative of -x**4/6 - 6*x - 13. Let i(r) = -5*r + 1. Let m be i(-4). Let j(a) = 7*a - 21 + m. Calculate u(j(o)).", "a": "-98*o**2" }, { "q": "Let k(o) = -14*o. Let x(j) = -6*j + 49. Let f be x(5). Let z(t) = -8*t**2 - 9*t**2 + f*t**2. Calculate k(z(u)).", "a": "-28*u**2" }, { "q": "Let t(h) = -2*h**2. Let f(n) = -19 - 16 - 2*n**2 + 19. What is f(t(q))?", "a": "-8*q**4 - 16" }, { "q": "Let i(q) = 106 + 2*q + 73 + 16 + 19 - 3. Let l(u) = 3*u**2. What is l(i(p))?", "a": "12*p**2 + 2532*p + 133563" }, { "q": "Let u(y) = -11494*y**2 - y + 3. Let j(v) = 7*v. Determine u(j(q)).", "a": "-563206*q**2 - 7*q + 3" }, { "q": "Let w(j) = 3*j. Let p(v) = -2704398*v**2. Calculate p(w(t)).", "a": "-24339582*t**2" }, { "q": "Let o(a) be the first derivative of -a**3/3 + 1. Suppose -402 = 5*d - 2132. Let z(r) = -6*r + 35*r + 346 - d. Give o(z(s)).", "a": "-841*s**2" }, { "q": "Let r(c) be the first derivative of c**2/2 + 4. Let o(w) be the third derivative of -w**5/30 + w**4/24 - 129*w**2. Determine r(o(x)).", "a": "-2*x**2 + x" }, { "q": "Let q(b) = 23*b + 13. Let f(c) = 11*c + 6. Let g(u) = -9*f(u) + 4*q(u). Let k(y) = 6*y. Calculate k(g(p)).", "a": "-42*p - 12" }, { "q": "Let u(t) = -2*t**2 - 265*t. Let w(b) = -5*b + 28. Let h(z) = 60*z - 350. Let n(m) = -2*h(m) - 25*w(m). Determine n(u(f)).", "a": "-10*f**2 - 1325*f" }, { "q": "Let r(h) = 9515*h**2 + 12. Let y(i) = 3*i + 1. What is r(y(k))?", "a": "85635*k**2 + 57090*k + 9527" }, { "q": "Let d(w) = 15358*w. Let l(b) = 2*b + 61. What is l(d(i))?", "a": "30716*i + 61" }, { "q": "Let q(m) = -19*m**2 + 3*m. Let i(z) = 108445*z. What is i(q(c))?", "a": "-2060455*c**2 + 325335*c" }, { "q": "Let w(s) = -788*s + 2360*s + 3 - 3 - 795*s - 787*s. Let i(g) be the first derivative of -g**2 - 1. What is i(w(x))?", "a": "20*x" }, { "q": "Let a(q) = -9*q**2. Let u(h) = 2*h**2 - 20*h + 34. Let m be u(8). Let x(c) = -5214 + m*c**2 + 5214. Determine x(a(b)).", "a": "162*b**4" }, { "q": "Let v(g) = -1842*g**2 - 5*g + 20. Let k(p) = -5428374*p**2 - 14736*p + 58944. Let f(w) = -5*k(w) + 14736*v(w). Let j(t) = -t. Determine f(j(c)).", "a": "-1842*c**2" }, { "q": "Let o(f) = f**2. Let i(y) = -48*y**2 - 90*y - 5. Let m(b) = 71*b**2 + 134*b + 7. Let k(u) = 7*i(u) + 5*m(u). Give k(o(v)).", "a": "19*v**4 + 40*v**2" }, { "q": "Let f(u) = -896*u + 1. Let x(o) be the first derivative of -o**3/3 - 1180. Determine x(f(s)).", "a": "-802816*s**2 + 1792*s - 1" }, { "q": "Let f(w) = 27*w - 4. Let u(d) = 9529 - 9529 + 4*d. Determine u(f(j)).", "a": "108*j - 16" }, { "q": "Let l(r) = 2*r. Let b(t) = 2*t. Let a(p) = -2*b(p) + 3*l(p). Let v(k) be the third derivative of -k**4/8 - 3*k**2. What is a(v(o))?", "a": "-6*o" }, { "q": "Let a(z) = -10391504*z. Let h(n) = 2*n**2. Determine h(a(c)).", "a": "215966710764032*c**2" }, { "q": "Let u(i) be the first derivative of 250*i**2 - 133. Let y(g) = -g**2. Determine y(u(s)).", "a": "-250000*s**2" }, { "q": "Let w(m) be the second derivative of m**6/360 - 13*m**3/2 - 2*m + 6. Let j(n) be the second derivative of w(n). Let z(c) = 2*c + 1. Calculate z(j(o)).", "a": "2*o**2 + 1" }, { "q": "Let f(w) = 128204*w**2. Let y(m) = 134*m**2. Give y(f(g)).", "a": "2202459592544*g**4" }, { "q": "Let b(q) = -4*q**2 + 2. Let v(w) = 30*w**2 - 7. Calculate b(v(n)).", "a": "-3600*n**4 + 1680*n**2 - 194" }, { "q": "Let m(j) be the first derivative of -2*j**2 + 210. Let k(w) = -6*w**2 - 28*w. Calculate k(m(l)).", "a": "-96*l**2 + 112*l" }, { "q": "Let x(y) = 7685*y. Let j(b) = 7*b**2 - 8. Give j(x(k)).", "a": "413414575*k**2 - 8" }, { "q": "Let t(n) be the first derivative of 1696*n**3/3 - 117. Let d(l) = -l**2. Give d(t(z)).", "a": "-2876416*z**4" }, { "q": "Let d = -5 + 8. Let m(b) = 4*b - 2*b - b + d*b. Let t(i) = -7*i**2 + 438825 - 438825. Determine m(t(y)).", "a": "-28*y**2" }, { "q": "Let p(d) = d - 125. Let f(j) = -33667*j. What is f(p(c))?", "a": "-33667*c + 4208375" }, { "q": "Let f(c) = -4*c - 182. Let k(d) = 3*d + 156. Let s(n) = -6*f(n) - 7*k(n). Let p be 3*4/(-6) + 2. Let g(o) = 3*o + p*o - o. Calculate s(g(u)).", "a": "6*u" }, { "q": "Let n(i) = 3*i**2. Suppose -25673 = 13*t - 25712. Let a(h) be the second derivative of -5*h + 1/2*h**t + 0 + 0*h**2. Calculate a(n(l)).", "a": "9*l**2" }, { "q": "Let a(b) = 50660 - 50660 - 6*b. Let f(u) = u**2 + 138. Calculate f(a(z)).", "a": "36*z**2 + 138" }, { "q": "Let m(q) = -q - 21. Let f(u) be the third derivative of -1 + 0*u**3 + 1/12*u**4 + 3*u**2 + 0*u. Give m(f(b)).", "a": "-2*b - 21" }, { "q": "Let f(r) = -2*r. Let s(b) be the third derivative of -3*b**2 - 11/3*b**3 - 4*b + 1/30*b**5 + 0 + 0*b**4. Give s(f(j)).", "a": "8*j**2 - 22" }, { "q": "Let i(n) = -6*n + 5. Let g be i(7). Let v = 40 + g. Let m(z) = 5 + v - 8 + 2*z. Let h(a) = a**2. Determine m(h(j)).", "a": "2*j**2" }, { "q": "Let m(p) = 615*p**2 - 2433*p. Let d(l) = 3*l**2. Give m(d(u)).", "a": "5535*u**4 - 7299*u**2" }, { "q": "Let d(b) = -7*b**2 - 2*b + 2. Let s(r) = 18*r**2 + 5*r - 5. Let i(n) = 5*d(n) + 2*s(n). Let p(f) = -302*f**2. Give i(p(l)).", "a": "91204*l**4" }, { "q": "Let h(k) = 10*k**2. Let r(m) = -20*m + 7. Let t(i) = -9*i + 3. Let a(n) = 8*n + 51. Let c be a(-6). Let g(w) = c*r(w) - 7*t(w). Determine h(g(q)).", "a": "90*q**2" }, { "q": "Suppose -12*l + 48340 = -26036. Let d(b) = 3*b + 6198 - l. Let z(m) = -17*m**2. What is z(d(a))?", "a": "-153*a**2" }, { "q": "Let l(i) = 0 + 30*i**2 - 27*i**2 + 0. Let g(q) be the first derivative of -2*q**3/3 - 4*q + 16. Let c(z) be the first derivative of g(z). Give c(l(u)).", "a": "-12*u**2" }, { "q": "Let i(a) = -33*a**2. Let r(y) = 163040*y**2. Calculate r(i(g)).", "a": "177550560*g**4" }, { "q": "Let b(r) = -82*r**2 + 8*r - 700. Let w(n) = -n. Calculate w(b(g)).", "a": "82*g**2 - 8*g + 700" }, { "q": "Let y(c) = -4*c. Let r(p) = 2*p - 210443. Determine y(r(z)).", "a": "-8*z + 841772" }, { "q": "Let t(d) = -4*d**2. Let m(j) = 9*j + 29. Let v be m(-3). Let n(k) = 125 - k**v - 125. Calculate t(n(a)).", "a": "-4*a**4" }, { "q": "Let v(k) = -1 + 1 + 13*k**2 - 15*k**2. Let j(l) = -42 - 52 - 4*l + 5*l. Give v(j(m)).", "a": "-2*m**2 + 376*m - 17672" }, { "q": "Let g(w) = -w. Let t = -40 - -42. Let i(k) = t*k + 70 - 70. Let a(r) = 5*r. Let o(v) = 4*a(v) - 9*i(v). What is g(o(n))?", "a": "-2*n" }, { "q": "Let o(f) = -2*f - 84. Let h(n) = -6. Let j(l) = -14*h(l) + o(l). Let d(z) = 566*z. Give j(d(r)).", "a": "-1132*r" }, { "q": "Let a(l) = 7*l + l**2 - 5*l - 2*l. Let t(v) = -v**2 + 1. Let o(b) = -3*b**2 - 2. Let f be -1*(-4 - (-10)/2). Let s(h) = f*o(h) - 2*t(h). What is a(s(i))?", "a": "25*i**4" }, { "q": "Let h(w) = 20*w**2. Let g(l) be the first derivative of -l**5/60 - 2*l**3/3 + 33*l - 57. Let u(p) be the third derivative of g(p). What is h(u(j))?", "a": "80*j**2" }, { "q": "Let t(r) = r. Let y(n) = 2*n**2 - 9*n + 26068. Determine t(y(d)).", "a": "2*d**2 - 9*d + 26068" }, { "q": "Let r(a) = -4*a + 2. Let p(z) = 3559*z**2. Calculate r(p(v)).", "a": "-14236*v**2 + 2" }, { "q": "Let f(g) = g. Let j(k) = 5523716*k**2. Determine f(j(p)).", "a": "5523716*p**2" }, { "q": "Let a(o) = -2. Let m(g) = 3*g**2 + 6. Let t(p) = 3*a(p) + m(p). Let c be 8/5*(-5)/(-2). Let y(f) = 9*f - c + 4 + 3*f. Calculate y(t(j)).", "a": "36*j**2" }, { "q": "Let q(h) = 740*h + 741*h - 1483*h. Let w(d) = 1240*d. Determine w(q(n)).", "a": "-2480*n" }, { "q": "Let u(a) = -40*a + 449 - 222 - 229. Let n(f) = -5*f**2. Determine n(u(z)).", "a": "-8000*z**2 - 800*z - 20" }, { "q": "Let k(y) be the third derivative of -217*y**4/6 - 1301*y**2. Let p(f) = 3*f. Calculate p(k(l)).", "a": "-2604*l" }, { "q": "Let g(i) = 44*i**2. Suppose 4*s - 12 = s. Let r be (0/(1 + s))/1. Let t(q) = 0*q + 5*q - 3*q + r*q. Calculate t(g(o)).", "a": "88*o**2" }, { "q": "Let h = 1693/1281 - -5/427. Let u(c) be the first derivative of 1 + 0*c**2 + 0*c + h*c**3. Let s(k) = k**2. Calculate s(u(j)).", "a": "16*j**4" }, { "q": "Let i(r) = 542*r**2. Let x(w) = 9957*w. Give x(i(l)).", "a": "5396694*l**2" }, { "q": "Let t(s) = -537*s. Let k(w) = 4315*w**2 + w. Determine t(k(d)).", "a": "-2317155*d**2 - 537*d" }, { "q": "Let f(t) = 20*t**2 - 4940*t. Let p(w) = -15*w**2. What is f(p(y))?", "a": "4500*y**4 + 74100*y**2" }, { "q": "Let k(s) = -2*s. Let n(b) = 2*b - 18311. Determine k(n(f)).", "a": "-4*f + 36622" }, { "q": "Let c(d) = 58*d**2 - 5*d. Let p(r) = 29*r**2 - 2*r. Let t(b) = -2*c(b) + 5*p(b). Let k(i) = 2*i**2 - 881 + i + 881 - i. Give k(t(y)).", "a": "1682*y**4" }, { "q": "Let y(x) = -x**2. Let i(z) = -11*z - 2. Let d(p) = -2573*p - 372. Let a(q) = -d(q) + 186*i(q). Give y(a(u)).", "a": "-277729*u**2" }, { "q": "Suppose 7 = 2*i - 43. Let m(n) = 998 - i*n - 998. Let h(f) be the third derivative of f**5/30 + f**2. Determine m(h(z)).", "a": "-50*z**2" }, { "q": "Let s(a) = -95179*a. Let v(f) = -3*f**2 - 9. Determine v(s(d)).", "a": "-27177126123*d**2 - 9" }, { "q": "Let h(g) = g - 5. Let s be h(6). Let y be (-6 + 6)/(-3 + s). Let f(t) = y*t - 4*t + 4*t + t. Let p(n) = 14*n**2. Give p(f(l)).", "a": "14*l**2" }, { "q": "Let g be ((-9)/(-15))/(11/330). Let u(p) = -2*p - 2*p - g - p + 19. Let j(t) = -3*t**2. Give j(u(i)).", "a": "-75*i**2 + 30*i - 3" }, { "q": "Let u(s) be the second derivative of 3*s**3/2 - 7*s + 36. Let t(q) = 8*q**2. Calculate u(t(i)).", "a": "72*i**2" }, { "q": "Let s(o) = -4*o**2. Let w(n) be the third derivative of -n**8/1680 + n**5/30 - 14*n**3/3 + 28*n**2. Let m(p) be the third derivative of w(p). Determine m(s(x)).", "a": "-192*x**4" }, { "q": "Let p(j) = 41*j. Let t(h) = -2. Let x(w) = 5 + 4 - 19 - w - 1. Let i(q) = -22*t(q) + 4*x(q). Calculate p(i(c)).", "a": "-164*c" }, { "q": "Let j(g) = -2*g**2 + 410. Let v(u) be the third derivative of -u**5/15 - 689*u**2. Calculate j(v(m)).", "a": "-32*m**4 + 410" }, { "q": "Let l(q) = 4*q + 2. Let v(b) be the first derivative of 34*b**3/3 + 95. Give v(l(d)).", "a": "544*d**2 + 544*d + 136" }, { "q": "Let z(c) = 756*c + 768*c - 1528*c. Let a(q) = 570*q**2. Give z(a(o)).", "a": "-2280*o**2" }, { "q": "Let v(j) = 2*j. Let t(q) be the third derivative of 491*q**5/60 - 3*q**2 - 89. What is t(v(b))?", "a": "1964*b**2" }, { "q": "Let m(w) = 5*w**2 + 855. Let z(j) = -22*j**2. Calculate m(z(n)).", "a": "2420*n**4 + 855" }, { "q": "Let f(w) = -108*w**2 + 18. Let o(x) = -27*x**2 + 4. Let s(j) = -2*f(j) + 9*o(j). Let g(b) be the second derivative of 2*b**3/3 - 13*b. Give g(s(n)).", "a": "-108*n**2" }, { "q": "Let k(p) = p**3 + 6*p**2 + 8*p + 8. Let g be k(-4). Let f(w) = 21*w**2 - g*w**2 + 27 - 27. Let s(h) = 5*h. Determine f(s(m)).", "a": "325*m**2" }, { "q": "Let r(y) = -84*y**2. Let g(u) = -88*u - 2*u**2 - 78*u + 166*u. Give r(g(w)).", "a": "-336*w**4" }, { "q": "Let n(b) = 17*b**2 + 16. Let j(l) = -l**2 + 16*l + l - l**2 - 17*l. Give n(j(z)).", "a": "68*z**4 + 16" }, { "q": "Let z(y) = 31*y**2. Let b(w) = -7610 + 15217 - 7607 + 74*w**2. Give b(z(f)).", "a": "71114*f**4" }, { "q": "Let v(u) = -u**2 - u. Let c(d) = 6*d**2 - 18*d. Let p(b) = c(b) - 18*v(b). Let g(f) be the third derivative of f**4/8 - 3*f**2. Calculate g(p(i)).", "a": "72*i**2" }, { "q": "Let f(o) = -o. Let c(s) = -2833*s + 367. What is c(f(a))?", "a": "2833*a + 367" }, { "q": "Let r(a) = -801*a. Let j(g) = -47*g + 18*g + 31*g. Determine r(j(m)).", "a": "-1602*m" }, { "q": "Let m(s) = s. Let k be -3*(-4)/(-12)*-3. Suppose -k*y + 5 = -4. Let a(x) = y*x**2 - x**2 - x**2. Give a(m(r)).", "a": "r**2" }, { "q": "Let x(n) = 2*n. Let j(u) be the first derivative of 49*u**5/60 + u**3/3 + 23*u**2 + 45. Let r(p) be the second derivative of j(p). Determine r(x(k)).", "a": "196*k**2 + 2" }, { "q": "Suppose -21 + 6 = -5*z. Let s(o) = 0*o**2 + z*o**2 - 12*o**2. Let h(r) be the second derivative of r**4/6 - 538*r. Give s(h(m)).", "a": "-36*m**4" }, { "q": "Let z(b) = -b. Let m(c) = -3*c - 715. Let w(j) = 2*j + 481. Let a(l) = -5*m(l) - 7*w(l). Give z(a(i)).", "a": "-i - 208" }, { "q": "Let c(a) = 5279 - 2*a - 5279. Let j(d) = 331 - 10*d + 326 - 657. Give j(c(b)).", "a": "20*b" }, { "q": "Let f(w) = -17*w**2 + 5. Let m(n) = 8860*n**2 - 8857*n**2 + 94 - 94. Give f(m(j)).", "a": "-153*j**4 + 5" }, { "q": "Let v(k) = -k. Let m(x) = -54*x + 2084. Give v(m(n)).", "a": "54*n - 2084" }, { "q": "Let r(l) = 4*l. Let m(s) = -s. Suppose -4*i + 55 - 59 = 0. Let g be ((-4)/(-2) - -7)*1. Let u(w) = -3*w**2 - 9*w. Let p(c) = g*m(c) + i*u(c). Give r(p(v)).", "a": "12*v**2" }, { "q": "Let q(o) = -13*o. Let z(x) = -x**2 + 2*x - 8. Let l be z(11). Let t = -27 - l. Let y(a) = -80 - a**2 + t. Calculate y(q(k)).", "a": "-169*k**2" }, { "q": "Let x(l) = 44*l + 321 + 4*l + 22*l - 645 + 324. Let v(a) = -3*a**2 + 0*a**2 + 4*a**2. What is v(x(f))?", "a": "4900*f**2" }, { "q": "Let x(y) be the third derivative of -y**4/8 + 75*y**2 - 7*y. Let c(z) = -27*z + 0*z - 18*z. Let t(o) = 11*o. Let a(h) = 5*c(h) + 21*t(h). Calculate x(a(f)).", "a": "-18*f" }, { "q": "Let n(r) be the first derivative of 1/24*r**4 + 2 + 0*r**3 - 7*r**2 + 0*r. Let y(i) be the second derivative of n(i). Let f(m) = 18*m**2. Give f(y(x)).", "a": "18*x**2" }, { "q": "Let o(r) = -65*r. Let k(q) = -4238*q**2 - 14. What is k(o(g))?", "a": "-17905550*g**2 - 14" }, { "q": "Let r(d) = d**2. Let m(i) = 53*i + 7094. Calculate m(r(k)).", "a": "53*k**2 + 7094" }, { "q": "Let d(s) = -13*s. Let i(f) = -87*f + 15. Let j(w) = 45*w - 6. Let x(r) = -4*i(r) - 10*j(r). What is x(d(u))?", "a": "1326*u" }, { "q": "Let x(p) = 2*p**2. Let g(m) = 3196*m**2 - 752*m + 752. Let o(l) = 4*l**2 - l + 1. Let z(a) = 3*g(a) - 2256*o(a). What is z(x(s))?", "a": "2256*s**4" }, { "q": "Let k(s) = 10*s. Let l(d) be the second derivative of 11*d**4/3 - 928*d. Give l(k(p)).", "a": "4400*p**2" }, { "q": "Let z(p) = 6 + 14 - 16*p - 20. Let h(m) = 98*m**2. Calculate h(z(t)).", "a": "25088*t**2" }, { "q": "Let k(w) = 18*w**2. Let r(f) = -f**2. Let q(s) = -6*s**2 - 3. Let u(o) = -4*q(o) + 22*r(o). Calculate u(k(z)).", "a": "648*z**4 + 12" }, { "q": "Let a(b) = -56*b**2 - 2. Let m(w) = -11*w**2 - 12. Let p(g) = -13*g**2 - 16. Let x(v) = 4*m(v) - 3*p(v). Calculate x(a(y)).", "a": "-15680*y**4 - 1120*y**2 - 20" }, { "q": "Let f(c) be the first derivative of -c**3/3 + 2. Let x(p) = -2*p**2 - 17*p + 7. Let k be x(-8). Let g(n) = 2 - 2 + k*n**2 - 8*n**2. What is f(g(o))?", "a": "-49*o**4" }, { "q": "Let k(j) = -j**2 - 3*j + 3. Let o(u) = u - 1. Let v be 2/(((-4)/(-5))/(4/(-10))). Let n(z) = v*k(z) - 3*o(z). Let t(i) = 22*i. Determine t(n(y)).", "a": "22*y**2" }, { "q": "Let w(a) = 13*a - 4. Let p(j) = 377*j - 117. Let m(i) = 4*p(i) - 117*w(i). Let f(c) = -6133*c + 2*c**2 + 12274*c - 6141*c + c**2. What is f(m(k))?", "a": "507*k**2" }, { "q": "Let m(d) be the first derivative of d**3 - 8597. Let n(v) = -4 + 4 + 3*v. Determine m(n(z)).", "a": "27*z**2" }, { "q": "Let o(h) be the first derivative of 36*h**2 - 1. Let p(l) = -1089*l + 2 - 2 + 2185*l - 1095*l. Determine p(o(x)).", "a": "72*x" }, { "q": "Let s(h) = 36852*h**2. Let j(w) = -177*w. Determine s(j(n)).", "a": "1154536308*n**2" }, { "q": "Let v(s) be the third derivative of -s**5/20 - 5*s**4/24 + 2*s**2. Let y(d) be the third derivative of d**4/24 - 3*d**2 - 102*d. Calculate y(v(b)).", "a": "-3*b**2 - 5*b" }, { "q": "Let a(g) = -2*g**2. Let h be (-38 - 17)*1/(-5). Let l(x) = -h + 7*x + 13 - 5. What is a(l(z))?", "a": "-98*z**2 + 84*z - 18" }, { "q": "Let i(d) = d. Let j(m) = m**2 + 6*m - 4. Let f = -42 + 34. Let l be j(f). Let b(c) = 0*c + l*c**2 + 6*c - 6*c. Calculate i(b(v)).", "a": "12*v**2" }, { "q": "Let o(x) = -x**2 - x + 4. Let q(z) = -3*z**2 - 2*z + 8. Let b(l) = 2*o(l) - q(l). Let p(m) = -10*m**2 + 20*m. Determine p(b(r)).", "a": "-10*r**4 + 20*r**2" }, { "q": "Let s(j) = 11*j**2. Let k(r) = 27*r - 5. Let c(z) = 5*z - 1. Let u(x) = 13*c(x) - 2*k(x). Calculate s(u(h)).", "a": "1331*h**2 - 726*h + 99" }, { "q": "Let b(p) be the second derivative of p**4/6 + 2*p**3/3 + 60*p - 2. Let h(j) = 24*j**2. Calculate h(b(n)).", "a": "96*n**4 + 384*n**3 + 384*n**2" }, { "q": "Let o(d) = -3*d**2 + 0*d**2 + d**2. Let u(w) = 444*w**2 - 41*w + 17. Let n(m) = 130*m**2 - 12*m + 5. Let p(c) = -17*n(c) + 5*u(c). Calculate p(o(a)).", "a": "40*a**4 + 2*a**2" }, { "q": "Let t(q) be the first derivative of 1905*q**2 + 316. Let s(p) = 2*p. Give t(s(b)).", "a": "7620*b" }, { "q": "Let z(l) = l**2 + 15*l + 4. Let t be z(-20). Let f(p) = 199 - 97 + 13*p - t. Let w(x) = 2*x. Determine w(f(c)).", "a": "26*c - 4" }, { "q": "Let z(g) be the first derivative of -g**6/18 - 13*g**3 + 45. Let v(a) be the third derivative of z(a). Let p(r) = -3*r. Determine v(p(w)).", "a": "-180*w**2" }, { "q": "Let z(c) = -19*c. Let y(r) be the third derivative of -r**4/8 + 2*r**2 - 53. Let f(h) = -39*y(h) + 6*z(h). Let g(q) = -26*q**2. Give f(g(m)).", "a": "-78*m**2" }, { "q": "Let b(x) = -836*x. Let d(m) = 61*m + 9. What is b(d(i))?", "a": "-50996*i - 7524" }, { "q": "Let r(u) = -5*u - 4. Let n(g) = 2*g - g + 6 - 5. Let z(x) = 4*n(x) + r(x). Let v(b) = -2*b + 1 - 1 + 35*b. What is z(v(q))?", "a": "-33*q" }, { "q": "Let c(h) = 2*h**2. Let s(x) = -8*x - 503939. What is s(c(v))?", "a": "-16*v**2 - 503939" }, { "q": "Let j(h) = 388*h + 388*h + 388*h - 1166*h. Let d(z) = 188*z. What is j(d(k))?", "a": "-376*k" }, { "q": "Let g(h) = 2*h**2 + 68. Let j(b) = -19*b + 31*b - 16*b - 10*b. Calculate j(g(c)).", "a": "-28*c**2 - 952" }, { "q": "Let s(g) = 14*g**2 - 4. Let x(c) = 14*c**2 - 3. Let a(h) = -6*s(h) + 5*x(h). Let t(f) be the first derivative of a(f). Let j(o) = 6*o - 2*o - 3*o. Give t(j(m)).", "a": "-28*m" }, { "q": "Let u(j) = 14*j + 44. Let z(t) = -104*t**2 + 2*t + 1. Determine u(z(f)).", "a": "-1456*f**2 + 28*f + 58" }, { "q": "Let v(x) = -x + 312460. Let z(g) = 32*g**2. Determine v(z(i)).", "a": "-32*i**2 + 312460" }, { "q": "Let z(u) = -2*u. Let b(q) = -4898*q - 237. Let t(i) = 83*i + 4. Let p be (-85)/(-20) + (-1)/4. Let j(y) = p*b(y) + 237*t(y). Give z(j(c)).", "a": "-158*c" }, { "q": "Let m(d) = 535*d - 121. Let b(p) = -107*p + 22. Let n(c) = 11*b(c) + 2*m(c). Let s(q) = 2*q. Determine s(n(y)).", "a": "-214*y" }, { "q": "Let q(c) = 3*c**2 + 4*c + 4. Let l(j) = 6*j**2 + 7*j + 7. Let v(h) = 4*l(h) - 7*q(h). Let g(p) = 156*p + 2. Give g(v(u)).", "a": "468*u**2 + 2" }, { "q": "Let k(d) = 2*d + 53. Let w(a) = 269*a - 18*a**2 - 269*a + 28*a**2. Determine k(w(b)).", "a": "20*b**2 + 53" }, { "q": "Let f(k) = 2*k. Let n(x) = -x**3 + 14*x**2 + 15*x + 21. Let z be n(15). Let t(q) = -q**2 + z*q**2 + 4*q - 5*q - 9*q**2. Give f(t(v)).", "a": "22*v**2 - 2*v" }, { "q": "Let u(x) = -2*x - 3. Let i(g) = 3*g + 5. Let b be 3 + 3/3 - 1. Let f(t) = b*i(t) + 5*u(t). Let m(n) = 5*n**2. Give f(m(o)).", "a": "-5*o**2" }, { "q": "Let h(l) = 14*l**2 + 18*l - 9. Let i(q) = -q**2 - 2*q + 1. Let n(c) = -h(c) - 9*i(c). Let f(d) = -18*d**2 + 1. Determine f(n(s)).", "a": "-450*s**4 + 1" }, { "q": "Suppose -2*g + 7*g = -2*v + 6, v + 5*g + 2 = 0. Let a(f) = v - 5*f - 8. Let r(k) = -204 - 195 + 399 - 3*k**2. Give a(r(b)).", "a": "15*b**2" }, { "q": "Let z(m) = -9*m. Let o(s) be the second derivative of -s**7/504 - 13*s**4/3 - 37*s. Let u(j) be the third derivative of o(j). Give z(u(c)).", "a": "45*c**2" }, { "q": "Let x(n) be the third derivative of -281*n**4/6 - n**3/6 + 306*n**2 + 2*n. Let j(d) = -2*d**2. What is x(j(f))?", "a": "2248*f**2 - 1" }, { "q": "Let m(q) = 659*q - 213*q - 217*q - 217*q. Let c(v) be the first derivative of -5*v**3/3 - 5. Determine c(m(l)).", "a": "-720*l**2" }, { "q": "Let l(z) = 9*z**2 + 8097718*z - 8097718*z. Let n(f) = -f**2 + 57*f. What is n(l(r))?", "a": "-81*r**4 + 513*r**2" }, { "q": "Let d(o) = 2*o - 19*o - 5*o. Let m(f) be the second derivative of f**6/360 - 65*f**3/6 - 41*f. Let j(v) be the second derivative of m(v). What is j(d(h))?", "a": "484*h**2" }, { "q": "Let u(g) be the first derivative of -11*g**3/3 + 8*g**2 + 64. Let i(v) = 7*v**2 - 10*v. Let h(a) = -8*i(a) - 5*u(a). Let w(j) = 7*j**2 - 3*j. Determine w(h(t)).", "a": "7*t**4 + 3*t**2" }, { "q": "Let b(t) = -36*t + 1 - 4*t - 1 - 1. Let n(l) = 3*l**2 - 8. Let j(w) = -14*w**2 + 36. Let z(c) = -4*j(c) - 18*n(c). Calculate z(b(o)).", "a": "3200*o**2 + 160*o + 2" }, { "q": "Let x(s) = -s. Let z(p) = -20*p - 5 + 1 + 6 + 1 + 6. Calculate z(x(q)).", "a": "20*q + 9" }, { "q": "Let u(i) = 12525551*i. Let c(o) = 2*o. Determine c(u(b)).", "a": "25051102*b" }, { "q": "Let i(o) = 25*o + 12. Let u(w) = -19*w - 9. Let j(f) = 3*i(f) + 4*u(f). Let m(z) = 1577*z. Determine j(m(d)).", "a": "-1577*d" }, { "q": "Let v(i) = 46*i. Let k(h) = -12*h + 219 + 276 - 495. Determine v(k(u)).", "a": "-552*u" }, { "q": "Let u(h) = 2*h. Suppose 0 = -4*z + 1497 + 479. Let p(d) = 248*d**2 + 248*d**2 - z*d**2. Give p(u(q)).", "a": "8*q**2" }, { "q": "Let d(n) = -6 + 6 - 5*n. Let o(c) = -4*c**2 + 1599 - 533 - 531 - 535. Determine o(d(r)).", "a": "-100*r**2" }, { "q": "Let c(y) = 947*y**2 + 960*y**2 - 1908*y**2. Let b(u) be the third derivative of -u**5/4 + 2*u**2. Determine b(c(i)).", "a": "-15*i**4" }, { "q": "Let o(u) = 2*u. Let v(g) = -47*g - 10. Let k(j) = -38*j - 4. Let d(t) = -116*t - 13. Let f(p) = -4*d(p) + 11*k(p). Let q(r) = -5*f(r) - 4*v(r). What is q(o(z))?", "a": "-84*z" }, { "q": "Let l(y) = -2*y - 4. Let r(z) = 2*z + 2. Let t(d) = -l(d) - 2*r(d). Let m(j) = j - 45. Let v(x) = -2*x + 90. Let a(h) = -7*m(h) - 4*v(h). Give a(t(b)).", "a": "-2*b - 45" }, { "q": "Let q(y) = -2*y. Suppose -2*i + 0 - 1 = j, 5*i + 7 = 2*j. Let k(t) be the first derivative of -j - 5 + t**2 + 0 + 3. Give q(k(m)).", "a": "-4*m" }, { "q": "Suppose o + 7163 = 14*o. Let q(n) = -n**2 - o*n + 277*n + 274*n. Let u(b) = 8*b. What is u(q(t))?", "a": "-8*t**2" }, { "q": "Let m(q) = 2*q**2. Let a(p) = -873940*p + 38665. Let j(f) = 1289*f - 57. Let c(t) = 6*a(t) + 4070*j(t). Calculate m(c(o)).", "a": "13416200*o**2" }, { "q": "Let z(i) = 1257*i. Let p(j) be the third derivative of -j**4/24 - 2*j**2 - 581*j. What is p(z(v))?", "a": "-1257*v" }, { "q": "Let x(t) = -6*t + 2. Let q(d) = -2*d**2 - 416. What is x(q(c))?", "a": "12*c**2 + 2498" }, { "q": "Let t(b) be the second derivative of -b**4/2 - b**3 - 152*b. Let s(n) = 3*n - 8. Let c(p) = -15*p + 42. Let d(r) = 4*c(r) + 21*s(r). Calculate t(d(z)).", "a": "-54*z**2 - 18*z" }, { "q": "Let u(l) = -2*l**2 + 45*l. Let y(w) be the third derivative of -w**4/12 + 677*w**2. Calculate y(u(r)).", "a": "4*r**2 - 90*r" }, { "q": "Let i(f) = 2*f**2. Suppose -2*b + 118 = -4*u - 4*b, 0 = 3*u - 5*b + 95. Let v = u + 35. Let j(r) = -2*r - 8*r - 4*r + v*r. Determine j(i(k)).", "a": "-18*k**2" }, { "q": "Let g(x) = 24*x**2 - 1. Let y(c) be the first derivative of -2*c**3/3 + 338. What is g(y(t))?", "a": "96*t**4 - 1" }, { "q": "Let v(o) = -34 - 80*o + 18 + 19 - 46*o. Let d(w) = -w. Calculate v(d(s)).", "a": "126*s + 3" }, { "q": "Let n(w) = 5*w - 143167. Let l(j) = 2*j. What is n(l(c))?", "a": "10*c - 143167" }, { "q": "Let o(u) = -2*u. Let v(w) = -24*w**2 - 7*w - 4*w + 32*w. Let t(i) = i**2 - i. Let d(s) = 42*t(s) + 2*v(s). What is o(d(l))?", "a": "12*l**2" }, { "q": "Let p(c) = -2*c**2 - 4*c**2 - 2*c**2 + 5*c**2. Let l(m) = -82*m**2 + 947*m - 947*m + 85*m**2. Determine p(l(d)).", "a": "-27*d**4" }, { "q": "Let l(t) = 173*t. Let g(w) = -74709*w. What is l(g(v))?", "a": "-12924657*v" }, { "q": "Let g(r) be the first derivative of 2*r**3/3 + 284. Let m(l) = 3*l**2 - 3*l**2 - 3*l**2 + 4*l**2. Determine g(m(w)).", "a": "2*w**4" }, { "q": "Let d(k) = -k**2. Suppose -13*i + 1 + 12 = 0. Let c(u) = 3 + 71*u + i - 4. Give d(c(s)).", "a": "-5041*s**2" }, { "q": "Let s(r) = 3*r. Let x(p) = 12807686*p. What is x(s(o))?", "a": "38423058*o" }, { "q": "Let p(u) = -1199*u. Let i(z) = -z**2 - 44*z. Give p(i(l)).", "a": "1199*l**2 + 52756*l" }, { "q": "Let n(y) = -24*y**2. Let v(x) = -6*x. Suppose -3 = 123*c - 120*c. Let u(z) = -z. Let k(o) = c*v(o) + 5*u(o). Determine n(k(d)).", "a": "-24*d**2" }, { "q": "Let u(i) be the third derivative of -7*i**5/60 + 3*i**2. Suppose -5*h - 2*h + 91 = 0. Let n(l) = -13 + h - l. What is u(n(p))?", "a": "-7*p**2" }, { "q": "Let n(y) = -8*y - 3. Let u(z) be the third derivative of -z**4/24 + 175*z**2 - 1. Calculate u(n(c)).", "a": "8*c + 3" }, { "q": "Let r(v) = -4*v**2. Let d(y) = 5201992*y. What is r(d(a))?", "a": "-108242883072256*a**2" }, { "q": "Let w(o) = o. Let b(q) = 2268*q - 1135*q - 1167*q + 1 + 4. What is w(b(a))?", "a": "-34*a + 5" }, { "q": "Let r(x) = 21*x. Suppose 3*w = -3*h + 45, -h = 29*w - 26*w - 7. Let g(z) = 19 - h - z**2 - z**2. Give g(r(b)).", "a": "-882*b**2" }, { "q": "Let k(y) = 6*y - 1. Let j(w) = -30*w + 6. Let v(r) = j(r) + 6*k(r). Let g(m) = -12*m + 7. Determine v(g(a)).", "a": "-72*a + 42" }, { "q": "Let t(z) = -350*z. Let m(b) = 6123*b. Let i(s) = 9*m(s) + 157*t(s). Let q(j) = 12*j**2. Calculate i(q(h)).", "a": "1884*h**2" }, { "q": "Let u = 58 - 60. Let r(n) = 3*n**2 - 5*n + 5. Let d(c) = -c**2 + 2*c - 2. Let p(k) = u*r(k) - 5*d(k). Let m(f) = -f + 3 - 1 - 2. Give p(m(v)).", "a": "-v**2" }, { "q": "Let d(k) = -28*k**2 - 24*k**2 - 28*k**2 + 78*k**2. Let p(z) = -2419*z. Give d(p(i)).", "a": "-11703122*i**2" }, { "q": "Let z(o) = 20*o. Let l(p) = -267421*p. Calculate z(l(c)).", "a": "-5348420*c" }, { "q": "Let h(t) = 231*t**2 + 501*t. Let w(p) = 22*p. What is h(w(r))?", "a": "111804*r**2 + 11022*r" }, { "q": "Let i(m) = -13*m. Let s(b) = 508996*b. Determine i(s(n)).", "a": "-6616948*n" }, { "q": "Let w(b) = 390*b**2 + 2*b - 1. Let u(z) = 1398*z**2. Determine w(u(t)).", "a": "762217560*t**4 + 2796*t**2 - 1" }, { "q": "Let t(a) = -6575*a**2 + 25*a. Let z(x) = 2*x. Calculate t(z(l)).", "a": "-26300*l**2 + 50*l" }, { "q": "Let g(w) be the first derivative of w**2/2 - 2. Let o(h) = 137*h**2 - 6*h - 66. Let d be o(13). Let l(b) = d*b - 15*b**2 - 23009*b. Calculate l(g(x)).", "a": "-15*x**2" }, { "q": "Let j(h) = -13*h**2. Let n(z) = 7*z - 21677. Calculate n(j(c)).", "a": "-91*c**2 - 21677" }, { "q": "Suppose -3*n = -8*z + 11*z - 3882, 0 = z - 3*n - 1278. Let j(q) = 1283 + z + q - 2573. Let p(m) be the second derivative of m**4/12 - m. Calculate j(p(i)).", "a": "i**2" }, { "q": "Let g(r) = 13*r**2 + 3. Let f(h) = 72*h**2 - 209*h**2 + 150*h**2 - 3 + 3. Determine f(g(a)).", "a": "2197*a**4 + 1014*a**2 + 117" }, { "q": "Let w(k) = -17*k**2. Suppose -52 + 87 = 32*n - 93. Let h(z) be the third derivative of 0 - z**2 + 0*z**n + 0*z - 1/60*z**5 + 0*z**3. Calculate h(w(u)).", "a": "-289*u**4" }, { "q": "Let n(s) = -s**2. Let j(t) = -1804*t**2 + 924*t - 1. What is j(n(x))?", "a": "-1804*x**4 - 924*x**2 - 1" }, { "q": "Let l(x) = -91*x. Let u(a) = a - 6. Let p(s) = 32*s - 164. Let z(i) = 13*i - 66. Let d(j) = -5*p(j) + 12*z(j). Let r(h) = 3*d(h) + 14*u(h). Give l(r(c)).", "a": "-182*c" }, { "q": "Let o(n) = 67*n + 318. Let g(t) = -22*t - 119. Let p(s) = 8*g(s) + 3*o(s). Let x(z) = -7*z. What is p(x(r))?", "a": "-175*r + 2" }, { "q": "Let y(d) = 2*d. Let m(s) = -2009047*s - 4492. Let g(x) = -2236*x - 5. Let k(o) = -4492*g(o) + 5*m(o). What is y(k(c))?", "a": "-2246*c" }, { "q": "Let n(p) = 1043*p - 28. Let c(y) = 37*y - 1. Let g(f) = -84*c(f) + 3*n(f). Let z(b) = -2 + 2 - 6*b**2. What is z(g(w))?", "a": "-2646*w**2" }, { "q": "Let u(o) be the second derivative of -o**4/12 + 4*o**2 + 732*o - 2. Let w(r) = -r**2. Calculate w(u(d)).", "a": "-d**4 + 16*d**2 - 64" }, { "q": "Suppose -3*y + 368 + 293 = 5*i, y + 2*i - 221 = 0. Let k be (-3)/18 + y/42. Let a(j) = 0*j + 3*j - 3*j + k*j. Let w(v) = -v**2. What is w(a(m))?", "a": "-25*m**2" }, { "q": "Let k(d) = d. Let r(j) = -29*j**2 + 52*j + 146*j - 24*j. Let t(v) = -174*k(v) + r(v). Let u(z) = 3*z**2. Calculate t(u(o)).", "a": "-261*o**4" }, { "q": "Let t(c) = -3*c + 0*c + 2*c + 3*c. Let a(y) = -4*y**2 + 2. Let w(r) = 22*r**2 - 6. Let d(b) = -6*a(b) - 2*w(b). Calculate d(t(p)).", "a": "-80*p**2" }, { "q": "Let p(j) = 3*j**2. Suppose 121 = -x + 12*x. Let a(b) = -4*b - 10*b + 0*b - x*b. Determine a(p(v)).", "a": "-75*v**2" }, { "q": "Let n(v) = 2*v**2 - 87*v + 5. Let i(x) = -3*x**2 + 131*x - 7. Let y(k) = 5*i(k) + 7*n(k). Let s(o) = 2*o. Calculate s(y(j)).", "a": "-2*j**2 + 92*j" }, { "q": "Let n(f) be the second derivative of -f**4/6 + 7*f. Let m(u) be the first derivative of 0*u - 7 + 2/3*u**3 + 0*u**2. Give n(m(q)).", "a": "-8*q**4" }, { "q": "Let q(y) be the first derivative of 4*y**3 - 6. Suppose -4*c - 18 + 10 = 0. Let t(b) = -b. Let n(z) = z. Let x(p) = c*t(p) - n(p). What is q(x(r))?", "a": "12*r**2" }, { "q": "Let z(y) = 2*y**2. Let n(q) be the third derivative of 839*q**4/24 - q**2 + 136*q. Calculate n(z(f)).", "a": "1678*f**2" }, { "q": "Let u(a) = 3*a**2 + a. Suppose 26 = 21*g - 8*g. Let b(p) = 8*p**2 - 9*p**g + 0*p**2. Determine b(u(w)).", "a": "-9*w**4 - 6*w**3 - w**2" }, { "q": "Let w(o) = o**2 - 35. Let i(f) = 14463*f**2. Calculate w(i(a)).", "a": "209178369*a**4 - 35" }, { "q": "Let y(f) = -3*f**2 + 2*f. Let z(g) = 26*g**2 - 18*g. Let s(a) = -36*y(a) - 4*z(a). Let m(h) = -7*h**2 + 3. What is s(m(k))?", "a": "196*k**4 - 168*k**2 + 36" }, { "q": "Let l(o) = 58726 + 3*o - 29364 - 5*o - 29362 + 5*o. Let b(w) = -13*w - 3. Let h(v) = -220*v - 50. Let y(j) = -50*b(j) + 3*h(j). Determine y(l(r)).", "a": "-30*r" }, { "q": "Let b(u) = 82*u**2 - 22*u**2 - 4*u**2 + 11*u**2 + 5*u**2. Let t(v) = 24*v. Determine b(t(z)).", "a": "41472*z**2" }, { "q": "Let h(a) = -2*a**2 + 4*a. Suppose -30*u + 36 = -12*u. Let b(l) = 1 + 35*l**2 - 1 - 38*l**u. Give b(h(d)).", "a": "-12*d**4 + 48*d**3 - 48*d**2" }, { "q": "Let g(c) be the third derivative of c**5/30 + c**2. Let a(i) be the second derivative of -7 + 0*i**2 + i + 13/6*i**3. What is a(g(j))?", "a": "26*j**2" }, { "q": "Let m(v) = 7*v - 10 + 12 + 0*v - 5. Let a(h) = h. Let t(x) = 5*x. Let u(f) = -9*a(f) + 2*t(f). Determine u(m(j)).", "a": "7*j - 3" }, { "q": "Let x(h) be the first derivative of -3*h**3 - 17. Let v(y) = -y - 7. Let j(q) = 1. Let i(a) = 21*j(a) + 3*v(a). Give i(x(s)).", "a": "27*s**2" }, { "q": "Let z(y) = -1697*y + 428*y - 425*y - 885*y. Let b(x) = x**2. Give z(b(o)).", "a": "-2579*o**2" }, { "q": "Let z(x) = 4*x**2. Let w(j) = 379*j + 5. Let m(q) = -196*q - 3. Let k(f) = -5*m(f) - 3*w(f). Give k(z(t)).", "a": "-628*t**2" }, { "q": "Let a(p) = 4*p**2. Let r(j) = -j**2 + 15*j - 33. Let x be r(8). Let w(k) = 42 + x + 6*k - 65. Calculate w(a(v)).", "a": "24*v**2" }, { "q": "Let c(r) = -r**2. Let v(w) = -1616985*w - 2. Give v(c(q)).", "a": "1616985*q**2 - 2" }, { "q": "Let p(h) = 139*h**2 - 109*h - 3. Let u(y) = 11*y. Calculate u(p(n)).", "a": "1529*n**2 - 1199*n - 33" }, { "q": "Let v(c) = -1993*c**2. Let w(a) = -3*a**2 + 6*a + 6. Let d(z) = -z**2 + 3*z + 3. Let m(o) = -4*d(o) + 2*w(o). Determine v(m(u)).", "a": "-7972*u**4" }, { "q": "Let l(b) = 2*b. Let k(y) be the second derivative of -6*y**2 - 17/24*y**4 + 6*y + 0*y**3 + 0. Let q(m) be the first derivative of k(m). What is q(l(g))?", "a": "-34*g" }, { "q": "Let z(s) = -3*s. Let t(c) = 95*c. Let n(g) = 83*g. Let f(w) = -3*n(w) + 2*t(w). Calculate z(f(o)).", "a": "177*o" }, { "q": "Let t(l) = -18*l**2 + 2*l + 113932. Let p(u) = u. What is p(t(z))?", "a": "-18*z**2 + 2*z + 113932" }, { "q": "Let t(c) be the third derivative of c**7/2520 - 53*c**4/24 + 2*c**2 + 6*c. Let v(w) be the second derivative of t(w). Let q(o) = o + 38. Determine q(v(y)).", "a": "y**2 + 38" }, { "q": "Let k(f) be the first derivative of f**4/8 + 3*f**2/2 - 5. Let z(p) be the second derivative of k(p). Let y(c) = 10*c + 5*c - 21*c. Give z(y(g)).", "a": "-18*g" }, { "q": "Let v(u) be the first derivative of -25*u**3 + 1305. Let a(y) = 23*y**2. Determine a(v(w)).", "a": "129375*w**4" }, { "q": "Let a(j) = -j**2. Let g(n) = 721442*n. Give g(a(h)).", "a": "-721442*h**2" }, { "q": "Let s(j) = -17*j. Let i(p) be the second derivative of 22*p**4/3 + 11*p + 51. Calculate i(s(o)).", "a": "25432*o**2" }, { "q": "Let q(p) = 4*p**2. Let z(y) = -5008448*y**2. Calculate z(q(i)).", "a": "-80135168*i**4" }, { "q": "Let c(r) = -3*r**2. Let x(o) = -4712116*o. Give x(c(n)).", "a": "14136348*n**2" }, { "q": "Let y = -25 - -32. Let m = 9 - y. Let v(o) = o**m - 2051 + 2051. Let d(u) = -10*u**2. Calculate d(v(z)).", "a": "-10*z**4" }, { "q": "Let q(z) = -188399*z. Let y(c) = -5*c - 4. Calculate q(y(s)).", "a": "941995*s + 753596" }, { "q": "Let v(n) be the first derivative of -8*n**3/3 + 1568. Let d(h) = 86*h**2. Determine d(v(j)).", "a": "5504*j**4" }, { "q": "Let z(v) = -v**2. Let k(t) = 3*t - t - 51 + 65 + 8*t + t. Give k(z(d)).", "a": "-11*d**2 + 14" }, { "q": "Let a(w) be the first derivative of -27*w**2/2 - 1. Let o(b) = -88*b + 209*b - b**2 - 54*b - 67*b. Give o(a(n)).", "a": "-729*n**2" }, { "q": "Let j(u) = u - 2. Let y be j(4). Let z(n) = -2*n - 2*n**y - 6*n + 8*n. Let b(w) be the first derivative of -w**2 + 60. Determine z(b(d)).", "a": "-8*d**2" }, { "q": "Let h(x) = 1315571*x. Let q(z) = -2*z**2. Give h(q(s)).", "a": "-2631142*s**2" }, { "q": "Let p(v) be the second derivative of v**3/3 + 31*v**2/2 + v. Let t(l) = -56*l - 442. Let r(f) = -13*f - 102. Let x(b) = 26*r(b) - 6*t(b). What is p(x(w))?", "a": "-4*w + 31" }, { "q": "Let o(n) = 77*n - 5. Let i(u) = 40*u - 2. Let q(h) = 5*i(h) - 2*o(h). Let t(g) = -5*g**2. Determine q(t(l)).", "a": "-230*l**2" }, { "q": "Let t(y) = 10*y**2. Let v(d) = 217*d**2 + 6*d. Let o(q) = q**2 - 3*q. Let k(j) = -2*o(j) - v(j). Give k(t(s)).", "a": "-21900*s**4" }, { "q": "Let q(g) = 124*g**2. Let y(x) be the first derivative of -10*x**3/3 + 1586. What is q(y(i))?", "a": "12400*i**4" }, { "q": "Let u(l) = 17*l**2. Let v(p) = -83*p + 8. Let i(f) = -8800*f + 850. Let y(k) = -4*i(k) + 425*v(k). Give y(u(q)).", "a": "-1275*q**2" }, { "q": "Let v(i) = 383*i - 20. Let r(z) = 16*z. Determine v(r(l)).", "a": "6128*l - 20" }, { "q": "Let c(t) = -6*t - 8*t + 19*t + 20*t. Let r(m) be the first derivative of 0*m - 1/3*m**3 + 0*m**2 + 3. Calculate r(c(w)).", "a": "-625*w**2" }, { "q": "Let r(n) = 4*n**2 - n + 6*n**2 - 6*n + 7*n. Let q(s) = 31*s**2 - 2. Give q(r(t)).", "a": "3100*t**4 - 2" }, { "q": "Let l(j) = 2*j. Let a = -198 - -205. Let p(r) = -a + 7 - 132*r + 101*r. What is p(l(w))?", "a": "-62*w" }, { "q": "Let j(r) be the second derivative of -r**3/3 - 1045*r. Let s(o) = 635*o**2. Calculate s(j(w)).", "a": "2540*w**2" }, { "q": "Let l(p) = -2*p. Let w(x) be the third derivative of 0*x**3 + 1/10*x**5 + 0*x**4 + 59*x**2 + 0*x + 0. Determine w(l(j)).", "a": "24*j**2" }, { "q": "Let i(g) be the third derivative of 5*g**4/24 - g**2. Let q(w) be the second derivative of -2*w**4/3 - 418*w. What is i(q(v))?", "a": "-40*v**2" }, { "q": "Let q(f) = 2*f**2 + 3685*f + 130. Let r(c) = -3*c. Give r(q(i)).", "a": "-6*i**2 - 11055*i - 390" }, { "q": "Suppose -12*k = -21*k + 38*k. Let f(x) be the second derivative of 0 + 14*x + k*x**2 + 7/6*x**3. Let y(m) = -2*m**2. Determine y(f(z)).", "a": "-98*z**2" }, { "q": "Let s(x) be the first derivative of -x**2/2 - 1733. Let k(i) be the second derivative of i + 0 + 0*i**3 + 0*i**2 + 1/12*i**4. Calculate s(k(n)).", "a": "-n**2" }, { "q": "Let s(o) = o**2 - o - 1. Let y(d) = 4*d**2 + 5*d + 2. Let f(q) = 2*s(q) + y(q). Let i(t) be the second derivative of t**4/6 + 98*t. Determine i(f(h)).", "a": "72*h**4 + 72*h**3 + 18*h**2" }, { "q": "Let r(z) = -12*z. Let s(o) = -8*o**2 + 4704*o + 1. Determine r(s(k)).", "a": "96*k**2 - 56448*k - 12" }, { "q": "Let n(c) = 65*c. Let z(y) = -412*y + 29. Give n(z(t)).", "a": "-26780*t + 1885" }, { "q": "Let k(l) = -l. Let d be 270/6 - (-1 + 2 - 1). Let f(h) = -d*h - 51*h + 10*h + 0*h. What is k(f(t))?", "a": "86*t" }, { "q": "Let c = 2 + 0. Let k(w) = w - 2*w + c*w. Let t(v) be the first derivative of 2*v**2 - 172. Give k(t(l)).", "a": "4*l" }, { "q": "Let x(k) be the first derivative of 59*k**2 - 70. Let c(q) be the second derivative of -q**3/6 - 24*q. Calculate x(c(m)).", "a": "-118*m" }, { "q": "Let n(k) = -6561*k**2 + k - 1. Let w(v) = 455*v. Determine w(n(i)).", "a": "-2985255*i**2 + 455*i - 455" }, { "q": "Let j(s) = 1335 - 680 - 313*s - 655. Let q(y) = -2*y. Give j(q(f)).", "a": "626*f" }, { "q": "Let v(c) = -37*c**2 - c - 9. Let t(z) = 41*z**2 + z + 10. Let x(r) = 9*t(r) + 10*v(r). Let o(f) = 10*f**2. Determine o(x(m)).", "a": "10*m**4 + 20*m**3 + 10*m**2" }, { "q": "Let y(f) = -4*f. Let d(a) = -372*a + 62. Let t(m) = -37*m - 36 - 37 + 111 - 32. Let p(b) = 3*d(b) - 31*t(b). What is y(p(z))?", "a": "-124*z" }, { "q": "Let g(x) = 318*x**2 - 1. Let q(n) be the third derivative of -n**4/12 - 1665*n**2. Calculate g(q(s)).", "a": "1272*s**2 - 1" }, { "q": "Let f be (3/(-2))/((-4)/8). Let m(p) = 2*p - 6*p + 2*p + f*p. Let g(c) = -571*c**2 + 567*c**2 + 0 + 0. What is m(g(t))?", "a": "-4*t**2" }, { "q": "Let j(h) be the first derivative of 11*h**3/3 - 4*h**2 + 17. Let i(v) = -4*v**2 + 3*v. Let n(c) = -8*i(c) - 3*j(c). Let k(b) = -6*b**2 + 1 - 1. What is k(n(w))?", "a": "-6*w**4" }, { "q": "Let s(v) be the third derivative of -1/12*v**5 + 0 + 0*v + 0*v**3 + 31*v**2 + 0*v**4. Let u(j) = -5*j. Calculate s(u(n)).", "a": "-125*n**2" }, { "q": "Let u(i) = 4*i**2 - 6*i + 29. Let r be -5 + 14 + (-9 - -6). Let x(d) = -7*d**2 + 11*d - 57. Let m(a) = r*x(a) + 11*u(a). Let o(w) = w**2. Give m(o(z)).", "a": "2*z**4 - 23" }, { "q": "Let h(c) = -3*c - 2. Let r(p) = -184*p - 165*p + 353*p. What is h(r(v))?", "a": "-12*v - 2" }, { "q": "Let f(z) = -16*z**2. Let g(n) = 11763*n**2 - n. Calculate g(f(u)).", "a": "3011328*u**4 + 16*u**2" }, { "q": "Let l(y) = 15*y**2 - 16*y. Let i(g) = 15*g - 437. Determine i(l(n)).", "a": "225*n**2 - 240*n - 437" }, { "q": "Let u(s) be the first derivative of 30460*s - 37 - 31 - 30460*s + 5*s**2. Let x(a) = 4*a. Calculate x(u(p)).", "a": "40*p" }, { "q": "Let r(d) be the first derivative of 0*d + 19 - 2/3*d**3 + 0*d**2. Let h(m) = -6*m**2. What is r(h(z))?", "a": "-72*z**4" }, { "q": "Let x(n) = 4*n. Let s(h) = 6816227*h**2. Determine s(x(j)).", "a": "109059632*j**2" }, { "q": "Let j(z) = 13286*z. Let v(g) = -357*g**2. Give v(j(d)).", "a": "-63016853172*d**2" }, { "q": "Let i(v) = 2*v**2 + 6*v + 692. Let u(h) = -269*h. What is i(u(s))?", "a": "144722*s**2 - 1614*s + 692" }, { "q": "Let w(l) = -40*l - 3. Let b(g) = 425*g**2. Give b(w(d)).", "a": "680000*d**2 + 102000*d + 3825" }, { "q": "Let j(y) = 5*y**2 - 2*y**2 - 2*y**2 - 2*y**2. Let h(q) be the third derivative of 9*q**5/20 - 365*q**2. What is h(j(w))?", "a": "27*w**4" }, { "q": "Let j(w) = 36*w. Let l be 2 - (0/(-6))/(-1). Let k(c) = -4*c**l + 22*c**2 - 5*c**2 - 11*c**2. Give j(k(o)).", "a": "72*o**2" }, { "q": "Let p(v) = v. Let r(z) = 1231*z**2. Let x(t) = -604*t**2. Let k(g) = -3*r(g) - 7*x(g). Calculate p(k(a)).", "a": "535*a**2" }, { "q": "Let w(j) = 46780*j**2. Let n(p) = 8*p - 3. Determine n(w(x)).", "a": "374240*x**2 - 3" }, { "q": "Let j(h) = -2*h**2 - 26325*h + 3. Let r(n) = -4*n. Calculate r(j(l)).", "a": "8*l**2 + 105300*l - 12" }, { "q": "Let p(b) = 4*b + 15. Let k(n) = 1. Let s(z) = 6*k(z) - p(z). Let f(l) be the second derivative of -l**4/6 + 7*l - 19. Determine f(s(r)).", "a": "-32*r**2 - 144*r - 162" }, { "q": "Let u(i) = -40*i - 1. Let z(d) = -59*d + 30. Give u(z(l)).", "a": "2360*l - 1201" }, { "q": "Let l(d) = -2*d**2. Suppose -246 + 235 = -3*t + n, -4*t + 18 = 2*n. Let x(j) be the third derivative of 0*j**3 + 1/3*j**t + 0*j - 10*j**2 + 0. Give x(l(w)).", "a": "-16*w**2" }, { "q": "Let y(m) = 4*m**2 - 10. Let r(c) = -38*c - 940. Calculate r(y(q)).", "a": "-152*q**2 - 560" }, { "q": "Let i(g) be the third derivative of g**5/10 + g**3/2 + 27*g**2. Let c(k) = 15*k**2. Give c(i(y)).", "a": "540*y**4 + 540*y**2 + 135" }, { "q": "Suppose 20 = 4*t + 3*b, 13*t - 18*t - 6 = -4*b. Let x(f) = 0*f**t - 5 + f**2 + 5. Let z(u) = -13*u**2. Give z(x(k)).", "a": "-13*k**4" }, { "q": "Let p(z) be the third derivative of z**5/12 - 1381*z**2. Let q(t) = -73*t**2. Calculate q(p(u)).", "a": "-1825*u**4" }, { "q": "Let v(z) = 2*z**2. Let q(h) be the first derivative of 4*h**2 - 4*h**2 + 2*h**2 + 18 + 0*h**2. Give v(q(a)).", "a": "32*a**2" }, { "q": "Let f(r) be the third derivative of 1/60*r**5 - 3*r**2 + 0*r**4 + 0 + 0*r + 0*r**3. Let h(y) = -1503*y + 752*y + 746*y. Give f(h(o)).", "a": "25*o**2" }, { "q": "Let q(r) = r**3 + 5*r + 20. Let k be q(0). Let c be (-8)/2*18/(-8). Let s(v) = -21*v + 8*v + c*v - k*v. Let y(a) = -a. Calculate s(y(i)).", "a": "24*i" }, { "q": "Let x(j) = -5*j**2. Suppose y - 25 = -4*y. Let f(g) = -3*g**2. Let k(i) = 2 + 370*i**2 - 2 - 360*i**2. Let a(t) = y*k(t) + 16*f(t). What is x(a(d))?", "a": "-20*d**4" }, { "q": "Let f(i) = -41*i. Let h(c) be the third derivative of 1/60*c**5 + 0*c**3 + 0*c**4 + 9*c**2 + 4*c + 0. Calculate f(h(j)).", "a": "-41*j**2" }, { "q": "Let a(f) = 13 - 7 - 3767*f - 6 + 3768*f. Let w(l) = 45*l + 1. What is w(a(x))?", "a": "45*x + 1" }, { "q": "Let l(v) be the first derivative of 1/2*v**2 + 75 + 0*v. Let c(x) = -62*x**2. Determine l(c(f)).", "a": "-62*f**2" }, { "q": "Let y(g) = -1482*g**2. Let z(q) = -12657*q**2. What is z(y(j))?", "a": "-27798872868*j**4" }, { "q": "Let f(a) = 19*a**2. Let d(w) = 895020*w**2. Calculate d(f(p)).", "a": "323102220*p**4" }, { "q": "Let l(x) = -99*x + 179*x - 96*x. Let a(d) = 2*d + 8. Let u(w) = w + 3. Let g(c) = -3*a(c) + 8*u(c). Give l(g(b)).", "a": "-32*b" }, { "q": "Let c(r) = -2*r. Let h(n) = 541751*n. Calculate h(c(x)).", "a": "-1083502*x" }, { "q": "Let n(b) = -2369198*b. Let p(h) = -5*h**2. Calculate p(n(x)).", "a": "-28065495816020*x**2" }, { "q": "Let v(s) = -79*s + 7. Let o(w) = 2495*w. What is v(o(j))?", "a": "-197105*j + 7" }, { "q": "Let h(q) = 2*q + 252. Let v(b) = 8*b**2 + 12*b + 6. Let x(w) = 38*w**2 + 56*w + 28. Let m(f) = -28*v(f) + 6*x(f). Give h(m(i)).", "a": "8*i**2 + 252" }, { "q": "Let d(q) = q**2. Let z(b) = -3*b**2 + 4*b**2 + 4*b**2 + 7 + 0*b**2 + 4*b**2. Give z(d(a)).", "a": "9*a**4 + 7" }, { "q": "Let j(c) be the second derivative of 7*c**3/6 + 286*c. Let r(v) = -162*v + 1. What is r(j(u))?", "a": "-1134*u + 1" }, { "q": "Let c(v) = v + 16. Let l be c(11). Let k = l - 23. Let t(z) = z + 2*z - k*z + 2*z. Let n(s) = 5*s. Give t(n(y)).", "a": "5*y" }, { "q": "Let q(u) = 6*u**2. Let a(j) = 35736*j**2. Give q(a(k)).", "a": "7662370176*k**4" }, { "q": "Let c(w) = -383*w - 5. Let h(j) = -1360*j + 1. What is h(c(r))?", "a": "520880*r + 6801" }, { "q": "Let p = -316 - -318. Let w(i) = 16*i**p - 32*i**2 + 33*i**2. Let u(k) be the third derivative of k**4/24 - k**2. Calculate u(w(m)).", "a": "17*m**2" }, { "q": "Let v(i) = -86*i**2. Let w(x) = -7*x**2 - 2*x. Let o(k) = 24*k**2 + 6*k. Let a(y) = o(y) + 3*w(y). Determine v(a(t)).", "a": "-774*t**4" }, { "q": "Let n(a) = 2*a. Let z(v) = 61528*v + 29. Determine n(z(k)).", "a": "123056*k + 58" }, { "q": "Let t(h) = -19*h**2. Let i(c) = -141*c**2 + 233*c**2 - 3*c + 3*c. Give i(t(r)).", "a": "33212*r**4" }, { "q": "Let n(w) = 24*w**2 - 1. Let j(d) = 3*d**2 + 2*d. Let y(m) be the third derivative of 4*m**5/5 + 11*m**4/8 - 28*m**2. Let h(z) = 33*j(z) - 2*y(z). Give n(h(g)).", "a": "216*g**4 - 1" }, { "q": "Let w(f) = 3*f**2. Let m(s) be the third derivative of 0*s + 0 - 1/15*s**5 + 0*s**3 + 0*s**4 + 52*s**2. What is w(m(p))?", "a": "48*p**4" }, { "q": "Let b(t) = -t**2. Let z(x) be the third derivative of 13*x**4/6 + x**3/6 - 547*x**2. Determine z(b(c)).", "a": "-52*c**2 + 1" }, { "q": "Let x(q) = 2*q**2. Let f(p) be the third derivative of 248*p**5/15 + 1060*p**2. Determine x(f(r)).", "a": "1968128*r**4" }, { "q": "Let d(s) = -96 + 96 - 3282*s**2 + 3286*s**2. Suppose 7 = 5*m + 2*y, -8 = -0*m - 4*m - y. Let q(k) = 2*k**2 + m*k**2 - 3*k**2. Calculate q(d(p)).", "a": "32*p**4" }, { "q": "Let y(g) = 8*g**2 + g. Let r(o) = -32*o**2 + 4077*o - 4077*o + 18*o**2. Give r(y(s)).", "a": "-896*s**4 - 224*s**3 - 14*s**2" }, { "q": "Let u(b) be the second derivative of -745*b**3/6 - 66*b. Let f(r) = -3*r**2. Give u(f(s)).", "a": "2235*s**2" }, { "q": "Let v be (-501)/(-15) + (-48)/(-80). Let m(y) = -v*y**2 + 32*y**2 - 2*y + 2*y. Let k(w) = 25*w**2. What is m(k(r))?", "a": "-1250*r**4" }, { "q": "Let b(s) = -2*s**2. Let t(q) = -30354237*q. Calculate b(t(u)).", "a": "-1842759407704338*u**2" }, { "q": "Let j(h) = -303*h**2. Let u(c) = 1196*c. Give u(j(p)).", "a": "-362388*p**2" }, { "q": "Let b(a) = 40*a**2. Let c(o) = -62226*o. Determine b(c(v)).", "a": "154883003040*v**2" }, { "q": "Let w(p) = 69*p - 121. Let f(z) = 8*z + 6. Determine w(f(r)).", "a": "552*r + 293" }, { "q": "Let m(x) = -291*x**2. Let p(o) = -8647*o. Calculate m(p(s)).", "a": "-21758247219*s**2" }, { "q": "Let m(d) = -d. Let l(n) = -3774196*n. Calculate m(l(r)).", "a": "3774196*r" }, { "q": "Let q(x) = -x. Let t(g) = -2*g. Let y(n) = -7*q(n) + 3*t(n). Let f(l) = 31*l**2 - 14. Let h(a) = -22*a**2 + 10. Let s(k) = -5*f(k) - 7*h(k). Calculate s(y(o)).", "a": "-o**2" }, { "q": "Let l(x) = 69*x**2. Let u(p) be the third derivative of -6*p + 0*p**3 + 3*p**2 + 0 + 1/24*p**4. Give u(l(z)).", "a": "69*z**2" }, { "q": "Let t be (2 - (-4)/(-6))/((-8)/(-312)). Let b be 0 + 5/1 + -2. Let s(l) = b*l + t - 52. Let g(x) = 4*x. Calculate g(s(z)).", "a": "12*z" }, { "q": "Let c(a) be the first derivative of 57 + 0*a + 1/3*a**3 + 0*a**2. Let n(z) = -107*z. Calculate n(c(d)).", "a": "-107*d**2" }, { "q": "Let v(y) = 2*y. Let i(q) = 75*q - 73. Let n be i(1). Let l(o) be the first derivative of 17 - 13/2*o**n + 0*o. Determine l(v(f)).", "a": "-26*f" }, { "q": "Let t(h) = 6*h**2 - 1679. Let r(y) = -3*y**2 - 22. Determine t(r(k)).", "a": "54*k**4 + 792*k**2 + 1225" }, { "q": "Let i(v) = 2*v**2 - 18*v - 2. Let g be i(10). Let t(c) = -7 - 10*c - 11 + g. Let x(o) = -2*o. Calculate x(t(p)).", "a": "20*p" }, { "q": "Let c(l) = -98*l**2 - 187*l - 6. Let y(d) = -14*d**2. Give c(y(z)).", "a": "-19208*z**4 + 2618*z**2 - 6" }, { "q": "Let h(f) = -f**2. Let s(t) be the first derivative of -t**3/3 + t**2 - t - 32. Let m(b) = 3*b**2 - 8*b - 22. Let d(k) = m(k) + 4*s(k). Determine h(d(o)).", "a": "-o**4 - 52*o**2 - 676" }, { "q": "Let y(c) be the first derivative of -3*c**2/2 + 1432. Let v(t) = -10*t**2 - 2*t. Determine v(y(z)).", "a": "-90*z**2 + 6*z" }, { "q": "Let l(d) = -6*d. Let v(i) = -26639*i - 14. What is v(l(y))?", "a": "159834*y - 14" }, { "q": "Let x(v) = -44*v**2 - v. Let a(q) be the first derivative of q**6/360 + q**3 - 5*q**2 - 10. Let b(k) be the third derivative of a(k). Determine x(b(i)).", "a": "-44*i**4 - i**2" }, { "q": "Let t(s) = 22*s - 1. Let f(b) = 11*b - 3. Let u(x) = -2*x + 1. Let n(m) = f(m) + 5*u(m). Let k(a) = -2*a - 6. Let i(q) = -k(q) - 3*n(q). Determine t(i(c)).", "a": "-22*c - 1" }, { "q": "Let j(p) be the second derivative of p**4/12 + p**3/6 + p**2 + 5*p. Let m be j(4). Let k(h) = -14*h**2 + 32*h**2 - m*h**2. Let d(b) = 6*b**2. Determine k(d(f)).", "a": "-144*f**4" }, { "q": "Let w(j) = -j**2 + 13*j + 16. Let r be w(13). Let v(a) = -30*a**2 + 27*a**2 + 16*a - r*a. Let h(l) = -14*l - 1. What is v(h(q))?", "a": "-588*q**2 - 84*q - 3" }, { "q": "Let v(u) = -2*u**2. Let x(m) = 5*m - 65. Let n(q) = 4*q - 44. Let a(r) = -8*n(r) + 5*x(r). Give a(v(j)).", "a": "14*j**2 + 27" }, { "q": "Let i(c) = -10*c + 2. Let g(d) = -13*d + 3. Let s(m) = -2*g(m) + 3*i(m). Let l(u) = -196*u**2. Calculate l(s(w)).", "a": "-3136*w**2" }, { "q": "Let p(r) = -3*r. Let y(l) be the second derivative of -817*l**4/12 + 3*l + 39. Give y(p(k)).", "a": "-7353*k**2" }, { "q": "Let n(l) = -11085808*l. Let a(t) = 2*t**2. What is a(n(p))?", "a": "245790278025728*p**2" }, { "q": "Let g(q) = 219*q - 1. Let h(m) = 75781*m**2. Give g(h(d)).", "a": "16596039*d**2 - 1" }, { "q": "Let z(n) be the third derivative of 0*n**3 - 34*n**2 - 1/8*n**4 + 0 + n. Let h(a) = -26*a**2. What is z(h(i))?", "a": "78*i**2" }, { "q": "Let j(y) = 493*y. Let z(i) = -18*i - 19*i - 22*i + 76*i - 19*i. What is j(z(h))?", "a": "-986*h" }, { "q": "Let k = 409 + -403. Let v(c) be the third derivative of -17/60*c**5 + 0*c**4 + 0 + 0*c**3 - k*c**2 + 0*c. Let s(o) = 2*o. What is v(s(w))?", "a": "-68*w**2" }, { "q": "Let y be 64/18 - 60/(-135). Let k(v) = -y*v**2 - v**2 + 4*v**2 + 3*v**2. Let f(s) = -8*s. What is k(f(c))?", "a": "128*c**2" }, { "q": "Let y(a) be the third derivative of -5*a**4/3 - 14*a**2. Let g(i) be the second derivative of i**3/6 + 28*i. Give y(g(k)).", "a": "-40*k" }, { "q": "Let z(i) = -8*i. Let d(p) be the second derivative of -65*p**3/2 - 111*p. Calculate z(d(n)).", "a": "1560*n" }, { "q": "Let u(w) = 2*w**2. Suppose 2*m = -3*p + 16, -4*p + 3*p = 2*m - 12. Let s(k) = 0 + 0 - 3*k**p + 308*k - 300*k. Determine u(s(d)).", "a": "18*d**4 - 96*d**3 + 128*d**2" }, { "q": "Let m(a) = -a**2. Let n(o) be the second derivative of o**5/60 - o**2/2 + 31*o. Let s(y) be the first derivative of n(y). Calculate s(m(r)).", "a": "r**4" }, { "q": "Let d(p) = -4*p**2. Let c(w) be the first derivative of 19*w**6/360 + 2*w**3/3 - 23*w + 63. Let y(k) be the third derivative of c(k). Determine y(d(u)).", "a": "304*u**4" }, { "q": "Let t(u) be the third derivative of u**5/60 + 275*u**2 + u. Let a(p) = p**2 - 95. Give t(a(i)).", "a": "i**4 - 190*i**2 + 9025" }, { "q": "Let t(d) = 14*d. Let o(s) = 411*s - 169*s - 248*s. Determine o(t(a)).", "a": "-84*a" }, { "q": "Let d(f) = -f + 1. Let o(m) = 8*m - 22. Let b(k) = -5*d(k) - o(k). Let p(j) be the first derivative of -j**3/3 - 5. What is p(b(r))?", "a": "-9*r**2 + 102*r - 289" }, { "q": "Let b(u) = 2*u. Let x(t) = 1931011*t. Calculate x(b(c)).", "a": "3862022*c" }, { "q": "Let q(y) = 829*y**2. Let f(k) = 0*k + 0*k - 1007 - 2*k + 1007. What is f(q(d))?", "a": "-1658*d**2" }, { "q": "Let y(p) = -p. Let m(q) = 16184*q**2 - 70. Give m(y(f)).", "a": "16184*f**2 - 70" }, { "q": "Let c(o) be the third derivative of 7*o**4/24 - 4*o**2. Let d(h) be the third derivative of -11*h**4/24 - h**2 - 55. What is d(c(z))?", "a": "-77*z" }, { "q": "Let o(f) = -4*f**2. Let r(v) = -1793435*v**2. Calculate r(o(g)).", "a": "-28694960*g**4" }, { "q": "Let z(o) = -18*o. Let n(a) = -59563*a**2. What is n(z(i))?", "a": "-19298412*i**2" }, { "q": "Let s(f) = 2*f. Let p(b) = b**2 - 18998633*b. What is s(p(u))?", "a": "2*u**2 - 37997266*u" }, { "q": "Let r(i) = -i. Let z be 6 - ((-5 - (0 - 6)) + 1)*2. Let t(h) be the second derivative of 0*h**z + 1/6*h**4 - 13*h + 0*h**3 + 0. What is r(t(k))?", "a": "-2*k**2" }, { "q": "Let m(v) = 371*v. Let s(j) = 47*j - 9. Let p(d) = 21*d - 4. Let x(z) = 9*p(z) - 4*s(z). Calculate x(m(g)).", "a": "371*g" }, { "q": "Let z(f) be the first derivative of f**2/2 - 436. Let s(i) = -3272*i**2. Give s(z(w)).", "a": "-3272*w**2" }, { "q": "Let t(x) = -10*x - x**2 + 10*x - 2*x**2. Let w(m) = -853*m**2. What is t(w(p))?", "a": "-2182827*p**4" }, { "q": "Let g(t) = 24 - 56 + 15 + 2*t**2 + 17. Let d(l) be the second derivative of 19*l**4/12 + 4*l. Determine g(d(p)).", "a": "722*p**4" }, { "q": "Let s(u) = 27*u**2. Let m(k) = -6*k**2 - 8*k - 8. Let l = 1322 + -1319. Let w(c) = 5 + 1 + 3*c + 2*c**2 - 3. Let g(o) = l*m(o) + 8*w(o). Determine s(g(t)).", "a": "108*t**4" }, { "q": "Let a(y) = y**2. Let l(b) = 3*b**2 + 2*b. Let f(o) be the first derivative of 7/2*o**2 + 3 + 0*o + 10/3*o**3. Let w(h) = -2*f(h) + 7*l(h). What is a(w(u))?", "a": "u**4" }, { "q": "Let n(w) be the first derivative of -6*w + 5/2*w**2 + 13. Let f(j) = 2*j**2. Give n(f(p)).", "a": "10*p**2 - 6" }, { "q": "Let i(j) = -2021*j**2 + 908*j**2 - 770*j**2. Let r(b) = 2*b. Calculate i(r(v)).", "a": "-7532*v**2" }, { "q": "Let o(m) = 7121*m - 9 + 9 - 7182*m. Let q(n) = 4 - n - 4. Give o(q(i)).", "a": "61*i" }, { "q": "Let k(q) = 2*q**2 + q - 600. Let m(s) = -s - 10. Calculate k(m(z)).", "a": "2*z**2 + 39*z - 410" }, { "q": "Let x(s) = 12*s. Let v(q) = -1582715*q. Give v(x(g)).", "a": "-18992580*g" }, { "q": "Let r(t) = -t - 2. Let x(b) = 3*b - 3917. Determine r(x(j)).", "a": "-3*j + 3915" }, { "q": "Let s(i) = -32*i - 67621. Let k(h) = 2*h. Give k(s(p)).", "a": "-64*p - 135242" }, { "q": "Let i(j) = j. Let z(b) = -2*b. Let x be (-144)/90*(-6 - -1). Let q(h) = x*i(h) + 5*z(h). Let w(c) = -29*c. Determine q(w(m)).", "a": "58*m" }, { "q": "Let h(z) = -4*z - 203. Let w(v) = 4105*v. Give w(h(n)).", "a": "-16420*n - 833315" }, { "q": "Let r(m) = -3*m**2. Let d(o) be the third derivative of -o**6/360 - 11*o**4/24 + o**3/2 - 78*o**2. Let j(i) be the second derivative of d(i). Calculate r(j(h)).", "a": "-12*h**2" }, { "q": "Let f(t) = -7*t. Let q(h) be the first derivative of h**2/2 - 10*h + 3. Let v be q(14). Let w(m) = 4*m - 3*m + 6*m - v*m. Calculate w(f(b)).", "a": "-21*b" }, { "q": "Let o(m) = 166*m**2 + 18*m + 2. Let g(p) = 29*p + 1. Calculate o(g(y)).", "a": "139606*y**2 + 10150*y + 186" }, { "q": "Let i(b) = b**2 - 41*b - 69. Let z(f) = -6*f. Calculate i(z(r)).", "a": "36*r**2 + 246*r - 69" }, { "q": "Let u(p) = 237 + 193 - 604 + 235 + p. Let j(q) = 9*q**2. What is u(j(f))?", "a": "9*f**2 + 61" }, { "q": "Let q(x) = 3*x**2. Let g(l) = -l**3 + 10*l**2 + 15*l - 5. Let y be g(11). Let b(v) = -10 + y*v + 10 - 66*v. Give b(q(f)).", "a": "-81*f**2" }, { "q": "Let z(m) be the third derivative of -m**5/60 + 156*m**2 + 1. Let l(g) = -198*g**2 - 1. What is l(z(v))?", "a": "-198*v**4 - 1" }, { "q": "Let j(t) be the third derivative of -t**6/360 + t**3 + 9*t**2 - 2*t. Let m(l) be the first derivative of j(l). Let g(c) = -12*c - 3. Give g(m(u)).", "a": "12*u**2 - 3" }, { "q": "Let q(m) = -17*m**2. Let f(j) be the third derivative of 0*j**3 + 1/20*j**5 + 30*j**2 + 0*j**4 + 0*j + 0. What is f(q(i))?", "a": "867*i**4" }, { "q": "Let x(h) = -2622*h - 2583*h + 3143*h. Let s(k) = 2*k**2. Determine x(s(l)).", "a": "-4124*l**2" }, { "q": "Let q(p) = -9*p. Let m(o) be the third derivative of o**8/20160 + 11*o**5/10 + 73*o**2. Let j(r) be the third derivative of m(r). What is q(j(s))?", "a": "-9*s**2" }, { "q": "Let c(r) be the second derivative of 13*r**3/3 - r**2 - 17*r - 14. Let u(h) = -3*h**2. What is u(c(q))?", "a": "-2028*q**2 + 312*q - 12" }, { "q": "Let c(a) = 2*a. Let f(g) = -165*g - 13. Let r(o) = -17 + 2 - 78*o - 5*o + 9. Let y(b) = -4*f(b) + 9*r(b). What is c(y(z))?", "a": "-174*z - 4" }, { "q": "Let p(s) = -3*s**2 + 2*s + 2. Suppose 0 = -5*o, 3 = -3*t + 5*o - 3*o. Let n(w) = w**2 - w - 1. Let u(z) = t*p(z) - 2*n(z). Let h(f) = -20*f. What is u(h(y))?", "a": "400*y**2" }, { "q": "Suppose 2 = y - m - 5, y - 3 = 5*m. Let j(v) = -9*v + 20*v - y*v. Let z(i) = -6*i**2. Calculate z(j(x)).", "a": "-54*x**2" }, { "q": "Let v(n) = 8*n. Let j(l) be the third derivative of -1/12*l**4 + 0*l**3 + 0 + 28*l**2 + 0*l. What is j(v(g))?", "a": "-16*g" }, { "q": "Let g(z) = 3*z. Let v(d) = -d**2 - 10*d + 24143. Give g(v(k)).", "a": "-3*k**2 - 30*k + 72429" }, { "q": "Let z(t) = -9*t - 5. Let i(n) = -48428*n. Calculate i(z(f)).", "a": "435852*f + 242140" }, { "q": "Suppose 5*a - 11*a + 6 = 0. Let o(k) = -12*k - a + 1 + 14*k. Let s(x) = -x + 2*x - 3*x - 6*x. Give o(s(c)).", "a": "-16*c" }, { "q": "Let c(z) = -4*z**2 + 3. Let s(t) = -12*t**2 + 4*t + 4. Let v(n) = 3*n**2 - 2*n - 2. Let a(q) = s(q) + 2*v(q). Determine a(c(y)).", "a": "-96*y**4 + 144*y**2 - 54" }, { "q": "Let n(l) = -l. Let t(h) be the second derivative of 0 + 0*h**2 - 4/3*h**3 + 41*h. Calculate t(n(y)).", "a": "8*y" }, { "q": "Let t(s) = -4*s**2 - s. Let m = 130 + -123. Let u(b) = b - m*b + b + 6*b. Determine t(u(v)).", "a": "-4*v**2 - v" }, { "q": "Let g(b) = 19*b - 127. Let w be g(7). Let z(t) = w*t**2 - 48*t + 99*t - 51*t. Let j(l) be the second derivative of -5*l**4/12 - l. Give j(z(y)).", "a": "-180*y**4" }, { "q": "Let r(m) = -3*m. Let d(v) = 2*v - 1. Let p(u) = 4*u - 4. Let t be -5 + (-2)/1 + 8. Let k(z) = t*p(z) - 4*d(z). What is r(k(x))?", "a": "12*x" }, { "q": "Let p(o) = o**2 + o. Let d = -9 - -6. Let f(g) = -4*g**2 - 3*g. Let j(x) = d*p(x) - f(x). Let h(v) = -219*v + 528*v - 310*v. Give h(j(c)).", "a": "-c**2" }, { "q": "Let y(d) = 2*d**2. Let u(h) be the third derivative of h**4/8 - 11*h**3/3 - 143*h**2 - 4. Give y(u(i)).", "a": "18*i**2 - 264*i + 968" }, { "q": "Let a(r) = 2127 - 15*r**2 + 2128 - 17*r**2 - 4255. Let u(s) = 2*s**2 + 6*s**2 - 3*s**2. Calculate u(a(c)).", "a": "5120*c**4" }, { "q": "Let c(x) = 4*x - 6*x + x. Let p(w) be the first derivative of 5*w**3 + 629. Determine p(c(y)).", "a": "15*y**2" }, { "q": "Let n(l) = -229*l**2 - 5. Let i(a) = -18*a + 1. Give n(i(p)).", "a": "-74196*p**2 + 8244*p - 234" }, { "q": "Let t(g) be the third derivative of 0*g + 1/6*g**4 + 0 - 1/30*g**5 + 0*g**3 - 14*g**2. Let f(k) = 2*k**2. Give f(t(v)).", "a": "8*v**4 - 32*v**3 + 32*v**2" }, { "q": "Let f(u) = 87*u**2 - 338*u**2 + 252*u**2. Let i(o) = -2 + 4 + 31*o + 0. Give f(i(p)).", "a": "961*p**2 + 124*p + 4" }, { "q": "Let n(s) = 420*s + 238. Let y(v) = 21*v + 12. Suppose -g - 164 = -45. Let i(l) = g*y(l) + 6*n(l). Let b(c) = -4*c**2. Calculate i(b(o)).", "a": "-84*o**2" }, { "q": "Let n(f) = -7*f**2 - 8*f + 2. Let y(d) = d**2 - 1127. Give n(y(l)).", "a": "-7*l**4 + 15770*l**2 - 8881885" }, { "q": "Let v(c) = -4*c**2. Let o(u) be the first derivative of -343*u**2/2 - 906. Calculate v(o(r)).", "a": "-470596*r**2" }, { "q": "Let m(p) = -p + 319. Let n(t) = -32041*t. What is m(n(s))?", "a": "32041*s + 319" }, { "q": "Let p(s) = 68*s + 212*s + 305*s - 129*s. Let u(m) = -2*m. Give p(u(y)).", "a": "-912*y" }, { "q": "Let w(o) = 2*o. Suppose 0 = 7*g - g - 294. Let x(a) = -g*a + 36*a + 38*a + 3*a**2. Determine x(w(f)).", "a": "12*f**2 + 50*f" }, { "q": "Let i(z) = 8*z + 399. Let k(t) = -7*t**2 - 4. What is k(i(d))?", "a": "-448*d**2 - 44688*d - 1114411" }, { "q": "Let r(h) = -h. Suppose -4*u + 2 + 7 = 5*x, -2*u = -3*x + 1. Let c = 1239 + -1238. Let n(w) = -u + 2*w + c. Determine n(r(a)).", "a": "-2*a" }, { "q": "Let b(x) = -7*x + 43. Let a(z) = -6516*z. Give a(b(s)).", "a": "45612*s - 280188" }, { "q": "Let o(s) = 300978*s**2. Let l(c) = -28*c**2. Calculate l(o(u)).", "a": "-2536457181552*u**4" }, { "q": "Let v(s) = -650*s. Let y(q) = q**2 - 251. Calculate v(y(p)).", "a": "-650*p**2 + 163150" }, { "q": "Let f(m) = -5 - 210*m + 8 - 3. Let k(s) be the first derivative of 2*s**3/3 + 1. Calculate f(k(o)).", "a": "-420*o**2" }, { "q": "Let r(c) be the first derivative of c**3 - 352. Let s(p) = -53*p**2. Determine s(r(x)).", "a": "-477*x**4" }, { "q": "Let h(s) = -61*s**2 + 9*s. Let j(a) = 4058*a**2. What is h(j(q))?", "a": "-1004509204*q**4 + 36522*q**2" }, { "q": "Let w(k) = -k**2 - k + 8. Let j(o) = -3*o + 14. Let b(u) = j(u) - 3*w(u). Let a(r) = -r**2. Calculate a(b(m)).", "a": "-9*m**4 + 60*m**2 - 100" }, { "q": "Let u(x) = -x**2 + 791 - 791. Let z(o) be the first derivative of 44*o**3/3 - o**2 - 89. What is u(z(r))?", "a": "-1936*r**4 + 176*r**3 - 4*r**2" }, { "q": "Let k(a) = -27*a**2. Suppose 20 = 3*h + 5*u, 4*u - 13 = -5*h + 3. Let m(w) be the second derivative of 0*w**2 + 0 - 16*w + h*w**3 + 1/6*w**4. Give m(k(v)).", "a": "1458*v**4" }, { "q": "Let x(i) = 707*i**2 + 354*i + 1. Let c(y) = 3*y. What is c(x(u))?", "a": "2121*u**2 + 1062*u + 3" }, { "q": "Let a(c) be the third derivative of c**5/30 - 505*c**4/24 - 1640*c**2. Let v(s) = s**2. Calculate a(v(h)).", "a": "2*h**4 - 505*h**2" }, { "q": "Let m(u) = -u - 2. Let y(q) be the first derivative of 22*q**3/3 - 105. Determine m(y(r)).", "a": "-22*r**2 - 2" }, { "q": "Let v(b) = 0*b + 1 + b - 1. Let y(t) = t - 4. Suppose -2*w = -3 + 7. Let o(h) = -2. Let i(m) = w*o(m) + y(m). Calculate v(i(q)).", "a": "q" }, { "q": "Let t(i) = -3*i. Let c(n) = 14*n + 2. Let o be c(2). Suppose 7*w - o = -9. Let v(a) = w*a - 7*a + 3*a + 2*a. Determine v(t(x)).", "a": "-3*x" }, { "q": "Suppose 10 = 2*r + 2*j - 2, -6 = 3*r - 3*j. Let x(y) = 79*y**r - 87*y**2 - 93*y**2. Let g(a) = -2*a. Give x(g(i)).", "a": "-404*i**2" }, { "q": "Let q(w) = 6*w. Let k(j) = j. Let x(i) = 5*k(i) - q(i). Suppose 20 = 5*l - 5. Let z(a) = 6 + a - l*a - 6. Determine x(z(r)).", "a": "4*r" }, { "q": "Let f(y) = 295*y**2. Let l(i) = 8*i - 35*i + 3*i + 11*i + 8*i. What is f(l(j))?", "a": "7375*j**2" }, { "q": "Let m(k) = 174*k + 35*k - 18*k - 15*k + 58*k. Let f(j) = -2*j. Calculate f(m(t)).", "a": "-468*t" }, { "q": "Let f = 66 - 38. Let r(m) = f*m - 63*m + 35*m - 2*m**2. Let g(s) = -18*s. What is r(g(w))?", "a": "-648*w**2" }, { "q": "Let b(n) = -22*n - 37*n - 6*n - 3 + 5*n. Let m(i) = -i**2. Give m(b(p)).", "a": "-3600*p**2 - 360*p - 9" }, { "q": "Let s(r) = 2*r. Let u(h) = h**2 - 270789. What is s(u(m))?", "a": "2*m**2 - 541578" }, { "q": "Let i(w) = w - 1. Let z(k) = 2*k - 58. Let t(a) = -3*i(a) + z(a). Let l(x) be the second derivative of -x**3/3 - 26*x. Determine l(t(h)).", "a": "2*h + 110" }, { "q": "Let b(j) = 127*j - 2. Let k(f) = -9*f - 175. Give k(b(l)).", "a": "-1143*l - 157" }, { "q": "Let s(x) = 3503*x - 4. Let w(z) = -21034*z + 26. Let v(i) = -13*s(i) - 2*w(i). Let r(p) = -2*p. Determine v(r(l)).", "a": "6942*l" }, { "q": "Let p(c) be the second derivative of 13*c**4/12 + 817*c. Let k(x) = 32*x. Calculate p(k(j)).", "a": "13312*j**2" }, { "q": "Let g(d) = 36*d. Let t(j) = 5*j. Let l(z) = g(z) + 4*t(z). Let r(q) = q**2. Determine r(l(s)).", "a": "3136*s**2" }, { "q": "Let r(v) = 2*v**2 - 5. Let n(k) be the first derivative of -34*k**3/3 - 1290. What is r(n(g))?", "a": "2312*g**4 - 5" }, { "q": "Let u(k) = -9*k - 34. Let t be u(-4). Let a(y) = 21*y**2 - 5*y**t - 9*y**2 - 5*y**2. Let d(g) = 74*g**2. Give a(d(j)).", "a": "10952*j**4" }, { "q": "Let n(v) = 1282 - 1284 + 2*v - 3*v. Let r(c) = -24*c**2. Give n(r(d)).", "a": "24*d**2 - 2" }, { "q": "Let r(v) = 5*v**2. Suppose 10 = -3*x - 2. Let m(h) = -93*h**2 + 30*h + 15. Let c(z) = -23*z**2 + 8*z + 4. Let f(w) = x*m(w) + 15*c(w). Calculate r(f(k)).", "a": "3645*k**4" }, { "q": "Let d(b) = 9*b. Let z(p) be the second derivative of -17 + 0*p**3 + p - 1/3*p**4 + 0*p**2. Calculate z(d(r)).", "a": "-324*r**2" }, { "q": "Let a(r) = 4*r. Let q(n) be the third derivative of 0*n**3 + 43*n**2 + 0*n**4 + 0*n - 1/3*n**5 + 0. What is a(q(p))?", "a": "-80*p**2" }, { "q": "Let h(v) = -v**2 - 3*v. Let b(m) = 13*m**2 + 9*m. Let y(f) = b(f) + 3*h(f). Let x(g) = -2*g - 16. What is x(y(a))?", "a": "-20*a**2 - 16" }, { "q": "Let w(p) = 4*p - 4. Let t(c) = 8*c - 51. Let o be t(7). Let r(z) = -4*z + 5. Let q(m) = o*w(m) + 4*r(m). Let i(k) = -5*k**2. What is q(i(x))?", "a": "-20*x**2" }, { "q": "Let x(o) = -45*o - 65. Let s(z) = 28*z + 43. Let a(u) = -8*s(u) - 5*x(u). Let m(i) = 2*i. Calculate a(m(h)).", "a": "2*h - 19" }, { "q": "Let p(k) be the first derivative of -34 + 0*k**2 + 1/3*k**3 + 0*k. Let w(l) = -79*l. What is w(p(z))?", "a": "-79*z**2" }, { "q": "Let i(u) = 4*u**2. Let q(t) be the second derivative of -113*t**3 - 772*t. What is q(i(x))?", "a": "-2712*x**2" }, { "q": "Let h(t) = 4*t. Let n(a) = 8*a**2 - 2631*a - 3. What is h(n(y))?", "a": "32*y**2 - 10524*y - 12" }, { "q": "Let s(f) = -38*f - 595. Let l(p) = -19*p. Give l(s(q)).", "a": "722*q + 11305" }, { "q": "Let f be ((-46)/(-2))/((-1)/(-20)). Let w(p) = 30*p**2 + f - 460. Let z(y) = -4*y. What is z(w(q))?", "a": "-120*q**2" }, { "q": "Let m(w) = -w - 22. Let h(u) = -6. Let g(p) = -22*h(p) + 6*m(p). Let t(c) be the third derivative of -c**4/24 - 2*c**2 + c + 2930. Calculate t(g(f)).", "a": "6*f" }, { "q": "Let m(p) = -51. Let u(n) = -16*n + 303. Let o(x) = -6*m(x) - u(x). Let j(a) = -1. Let h(f) = -f - 11. Let t(b) = 2*h(b) - 22*j(b). What is t(o(s))?", "a": "-32*s - 6" }, { "q": "Let x be 429/27 + 9 + (-960)/108. Let v(c) be the second derivative of 1/12*c**4 + 0 + x*c + 0*c**2 + 0*c**3. Let k(h) = -22*h**2. Give k(v(w)).", "a": "-22*w**4" }, { "q": "Let h(j) = -4*j**2. Let v(r) = 910665*r. Calculate h(v(p)).", "a": "-3317242968900*p**2" }, { "q": "Let c(u) = -14*u**2 + 11*u + 11. Let a(k) = 3*k**2 - 2*k - 2. Let o(f) = 11*a(f) + 2*c(f). Let r(j) be the second derivative of 2*j**3 - j - 1289. Give o(r(t)).", "a": "720*t**2" }, { "q": "Let p(j) = 22*j + 4. Let v be p(-1). Let y(t) = -t - 1. Let r be y(v). Let k(l) = 12*l**2 + 17 - r. Let g(w) = 2*w. Calculate g(k(s)).", "a": "24*s**2" }, { "q": "Let p(n) = -58878*n. Let y(h) = -51*h + 2. Calculate y(p(v)).", "a": "3002778*v + 2" }, { "q": "Let h(r) be the second derivative of -19*r**3/2 - 2*r - 793. Let j(x) = 8*x**2. Calculate j(h(c)).", "a": "25992*c**2" }, { "q": "Let t(p) = 3*p**2. Let h = -59 - -92. Let q(l) = -12*l - h*l - 30*l + 91*l. What is t(q(k))?", "a": "768*k**2" }, { "q": "Let u(b) be the first derivative of -10*b**3/3 + 685. Let p(f) = 166*f. What is p(u(k))?", "a": "-1660*k**2" }, { "q": "Let m(r) = 15*r**2. Let x be 12454/12 - 1/30*-5. Let z(d) = -2*d - 1038 + x. What is m(z(c))?", "a": "60*c**2" }, { "q": "Let i(q) = 0*q + 28*q + 28*q. Let x(z) = -3377*z + 3375*z - 194 + 194. Determine i(x(j)).", "a": "-112*j" }, { "q": "Let j(p) = 2*p**2. Let i(b) = -2*b**2 + 2*b - 5. Let x(s) = -9*s**2 + 12*s - 36. Let c(u) = -6*i(u) + x(u). Give c(j(n)).", "a": "12*n**4 - 6" }, { "q": "Let w(j) = 562065*j**2. Let l(o) = -5*o. Give w(l(v)).", "a": "14051625*v**2" }, { "q": "Let d(v) = -3*v - 16. Let r be d(-8). Let i(k) = k**2 - 7*k - 3. Let t be i(r). Let g(a) = -6*a + t*a - 4*a - 5*a. Let j(w) = -3*w**2. Give g(j(c)).", "a": "30*c**2" }, { "q": "Let m(g) = -2*g. Let d(p) = -6579095*p**2. What is m(d(b))?", "a": "13158190*b**2" }, { "q": "Let y(h) be the second derivative of -h**4/24 + 17*h**2/2 + 58*h. Let f(k) be the first derivative of y(k). Let r(c) = -12*c**2. Determine r(f(p)).", "a": "-12*p**2" }, { "q": "Let n(j) = 586*j + 2. Let k(h) = -2718*h. Calculate k(n(v)).", "a": "-1592748*v - 5436" }, { "q": "Let d(y) = -y**2. Let w(m) = -17*m + 19460. Determine w(d(b)).", "a": "17*b**2 + 19460" }, { "q": "Let m(q) = -9*q**2. Let l = 191 - 189. Let g(u) = -7*u**l - 4218 + 4218. Give m(g(f)).", "a": "-441*f**4" }, { "q": "Let q(w) = w**2 - 6*w. Let t be q(6). Let p(l) = 2*l + t*l + 5*l. Let y(x) = 5*x + 513. Let r(c) = -6*c - 627. Let m(v) = 9*r(v) + 11*y(v). Give p(m(z)).", "a": "7*z" }, { "q": "Let z(r) = -68*r. Let a(f) = -289622*f. What is a(z(s))?", "a": "19694296*s" }, { "q": "Let h(v) = -v + 14. Let f(s) = -458*s**2 + 2*s - 11. Give f(h(k)).", "a": "-458*k**2 + 12822*k - 89751" }, { "q": "Let a(i) = 2911*i. Let n(p) = 69*p + 6. Calculate n(a(z)).", "a": "200859*z + 6" }, { "q": "Let q(a) be the third derivative of -7/24*a**4 + 0*a + 0 - 1/3*a**3 - 19*a**2. Let i(b) = b. Give i(q(t)).", "a": "-7*t - 2" }, { "q": "Let i(r) = 2*r - 19. Let m be i(11). Let w(l) = 3*l**2 + 3*l**2 - m*l**2. Let k(s) be the third derivative of -3*s**4/8 - 35*s**2. What is k(w(c))?", "a": "-27*c**2" }, { "q": "Let o(r) = -2*r**2. Let d = -10 - -16. Suppose d*s - s = 10. Let f(l) = 7*l**s - l**2 + 7*l**2. Give f(o(x)).", "a": "52*x**4" }, { "q": "Let z(d) = 37*d. Let w(u) be the first derivative of u**2 - 8*u + 672. Determine z(w(y)).", "a": "74*y - 296" }, { "q": "Let v(d) = -23*d - 6. Let p(a) = -48*a - 14. Let b(c) = 6*p(c) - 14*v(c). Let z(n) = 15*n**2. What is b(z(m))?", "a": "510*m**2" }, { "q": "Let g(b) be the first derivative of 13*b**3/3 + 3*b**2/2 - 773. Let r(l) = -4*l**2 - 7*l**2 + 9*l**2. Give g(r(f)).", "a": "52*f**4 - 6*f**2" }, { "q": "Let x(s) = -3*s**2 - 6412*s. Let l(a) = 10*a. Give l(x(r)).", "a": "-30*r**2 - 64120*r" }, { "q": "Let o(x) = -117*x - 148*x + 381*x + 2*x**2 - 116*x. Let u(v) = 1709*v**2. Give o(u(m)).", "a": "5841362*m**4" }, { "q": "Let a(m) be the first derivative of 2061*m**2/2 + 718. Let c(v) = -v**2. Calculate a(c(l)).", "a": "-2061*l**2" }, { "q": "Let s(n) = -4*n. Let o(i) be the third derivative of 13*i**4/12 + i**3 + 14*i**2 - 7*i. What is o(s(l))?", "a": "-104*l + 6" }, { "q": "Let i be (1 + -2)/(37/74)*(-1 - 0). Let q(g) be the first derivative of 0*g**i + 0*g - 2/3*g**3 - 1. Let p(y) = y**2. Calculate q(p(x)).", "a": "-2*x**4" }, { "q": "Let j be (-140)/(-34) + (-58)/493. Let c(z) = -6 + 2 + z + j. Let l(w) = 10*w**2 + 5*w**2 + 3*w**2. Calculate l(c(g)).", "a": "18*g**2" }, { "q": "Let j(o) = -6*o**2 - 12*o + 60. Let x(s) = 5*s**2 + 14*s - 70. Let h(r) = -7*j(r) - 6*x(r). Let m(c) = 22*c. Determine m(h(f)).", "a": "264*f**2" }, { "q": "Let d(k) = 2*k - 12011. Let m(x) = 270*x. Determine d(m(a)).", "a": "540*a - 12011" }, { "q": "Let n(l) be the second derivative of 2*l**6/15 - 5*l**3/6 - l**2 - 41*l. Let b(o) be the second derivative of n(o). Let h(f) = -3*f. Determine h(b(g)).", "a": "-144*g**2" }, { "q": "Let r(x) = 18728*x**2. Let m(h) = 127*h + 3. Give m(r(j)).", "a": "2378456*j**2 + 3" }, { "q": "Let q(t) be the second derivative of -t**4/12 - 242*t. Let k(s) = -357*s. Calculate k(q(r)).", "a": "357*r**2" }, { "q": "Let q(k) = 275*k**2. Let p(t) = 19*t - 23. Let s(i) = -5*i + 6. Let a(u) = -6*p(u) - 23*s(u). Determine q(a(y)).", "a": "275*y**2" }, { "q": "Let h(n) = 2*n - 6. Let x(w) = -47*w - 2. Let m(j) = -48*j - 3. Let o(s) = 2*m(s) - 3*x(s). Determine o(h(i)).", "a": "90*i - 270" }, { "q": "Let y(h) = 57*h. Let z(g) be the first derivative of -g**5/60 + 38*g**2 + 69. Let j(i) be the second derivative of z(i). Give y(j(t)).", "a": "-57*t**2" }, { "q": "Let q(o) = -3*o**2. Let l(m) = 2555933*m**2. Give l(q(c)).", "a": "23003397*c**4" }, { "q": "Let o(z) be the third derivative of 19*z**5/60 - 4*z**2. Let i(u) = 3*u. Let r(y) = y. Let l(v) = -i(v) + 5*r(v). Give o(l(h)).", "a": "76*h**2" }, { "q": "Let l(c) = -3 + 12 + c + 10. Let o(i) be the first derivative of i**2/2 - 1511. Give o(l(d)).", "a": "d + 19" }, { "q": "Let m(i) = 2*i. Let t be (8/(-6))/(40/(-6) - -7). Let k(d) = -23*d**2 + 4*d + 4. Let x(h) = 186*h**2 - 33*h - 33. Let z(s) = t*x(s) - 33*k(s). What is m(z(l))?", "a": "30*l**2" }, { "q": "Let c(l) be the second derivative of 249*l**3 + 396*l - 2. Let w(k) = k**2. Determine c(w(x)).", "a": "1494*x**2" }, { "q": "Let c(k) = -k. Let n = 227 - 224. Let l(i) = -5*i - n*i - 6*i + 12*i. Determine l(c(g)).", "a": "2*g" }, { "q": "Let q(i) = i**2. Let o(y) = 123*y - 14 + 38 - 24. What is o(q(w))?", "a": "123*w**2" }, { "q": "Let j = -58 - -69. Let u(o) = 5*o**2 + 61*o**2 + 11*o**2 + j*o**2. Let p(g) = -2*g**2. Determine p(u(k)).", "a": "-15488*k**4" }, { "q": "Let u(o) = 3*o + 255*o**2 - 512*o**2 - 3*o + 269*o**2. Let b(x) = -x**2 + x + 1. Let h(l) = -24*l**2 + 21*l + 21. Let w(n) = -63*b(n) + 3*h(n). What is u(w(a))?", "a": "972*a**4" }, { "q": "Let n(a) = 1314*a**2 - 7*a + 4. Let z(u) = 149*u. Determine z(n(m)).", "a": "195786*m**2 - 1043*m + 596" }, { "q": "Let f(m) = -758073*m. Let q(r) = 11*r. What is q(f(h))?", "a": "-8338803*h" }, { "q": "Let o(v) = -2*v**2. Suppose 7*b - 132 = -15*b. Let g(s) = b*s + s - 21*s - 31*s. Give o(g(f)).", "a": "-4050*f**2" }, { "q": "Let q(g) = 6*g - 4*g + 10*g. Let y(w) = 7*w - 6. Let f(s) = -39*s + 34. Let n(c) = -6*f(c) - 34*y(c). Determine n(q(x)).", "a": "-48*x" }, { "q": "Let i(t) = 140*t**2 + 42*t - 10. Let z(f) = -93*f**2 - 30*f + 7. Let p(y) = 5*i(y) + 7*z(y). Let k(d) = -24*d**2. Give k(p(m)).", "a": "-57624*m**4 + 2352*m**2 - 24" }, { "q": "Let m be (-20)/(-3)*4/5*6. Let j(p) = 39*p - 8*p - m*p. Let z(i) = -13*i**2. What is z(j(g))?", "a": "-13*g**2" }, { "q": "Let w(g) = 11*g**2 + 4*g. Let n(t) = 33*t**2 - 15*t + 5. Let k(v) = 49*v**2 - 21*v + 7. Let j(y) = 5*k(y) - 7*n(y). Calculate w(j(o)).", "a": "2156*o**4 + 56*o**2" }, { "q": "Let i(b) = -3*b**2. Let f(g) = -1027*g**2 + 18*g + 24. Let k(m) = 2053*m**2 - 33*m - 44. Let x(q) = -11*f(q) - 6*k(q). Give x(i(s)).", "a": "-9189*s**4" }, { "q": "Let v(u) = -u. Let l(w) = 3*w**2 + 938*w + 1595. Give l(v(z)).", "a": "3*z**2 - 938*z + 1595" }, { "q": "Let h(d) = -d**2. Let f(o) = -5*o**2. Let r(c) = f(c) - 6*h(c). Let b(n) be the second derivative of n**3/3 + 2008*n - 3. Give b(r(j)).", "a": "2*j**2" }, { "q": "Let u(t) = 310*t. Let s(r) = 4*r**2 - 43*r - 2. Give s(u(o)).", "a": "384400*o**2 - 13330*o - 2" }, { "q": "Let y(d) = -3*d - 9992. Let a(v) = 5*v - 46. Give a(y(x)).", "a": "-15*x - 50006" }, { "q": "Let d(n) = -26*n - 4. Let i(x) = 55*x + 9. Let l(s) = -9*d(s) - 4*i(s). Let z(h) = 32*h. What is z(l(a))?", "a": "448*a" }, { "q": "Let l(q) = -83*q. Let v(d) be the first derivative of 4*d**3/3 + 759. Give l(v(w)).", "a": "-332*w**2" }, { "q": "Let b(o) be the second derivative of 7*o + 0 + 0*o**2 - 1/3*o**3. Let x(c) = 1. Let d(j) = 16*j - 6. Let z(n) = -d(n) - 6*x(n). Give z(b(y)).", "a": "32*y" }, { "q": "Let f(s) = -8*s - 2*s + 0*s + 12*s. Let m(o) = 3*o**2 + 42. Give m(f(c)).", "a": "12*c**2 + 42" }, { "q": "Let j(w) = 3*w. Let g(a) = a - 1. Let l(c) be the second derivative of 20*c**3/3 + 3*c**2/2 + 3*c - 3. Let u(z) = 3*g(z) + l(z). Give u(j(v)).", "a": "129*v" }, { "q": "Let y(k) = -5*k**2 + 12*k. Let v(b) = -b**2 - b. Let i = -11 - -10. Let f(u) = i*y(u) + 2*v(u). Let r(t) = 2*t**2. Calculate f(r(l)).", "a": "12*l**4 - 28*l**2" }, { "q": "Let v(z) = -3*z. Let g(x) = -1024*x**2 + 160*x + 480. Let a(u) = -5*u**2 + u + 3. Let d(k) = -320*a(k) + 2*g(k). Calculate d(v(n)).", "a": "-4032*n**2" }, { "q": "Let i be (32/(-20))/(16/(-40)). Let b(k) = -3*k**2 + 2*k + 4. Let j(a) = 13*a**2 - 9*a - 18. Let u(c) = i*j(c) + 18*b(c). Let t(s) = -14*s + 2. Give t(u(o)).", "a": "28*o**2 + 2" }, { "q": "Let l(q) = 2801992*q. Let y(o) = 6*o. Determine l(y(x)).", "a": "16811952*x" }, { "q": "Let v(j) = -4 + 7 - j**2 + j + 5*j + 2*j**2. Let h be v(-6). Let n(l) = -7*l + 5 + h*l - 5. Let c(g) = 4*g. What is c(n(d))?", "a": "-16*d" }, { "q": "Let i(m) = m**2 - 210*m. Let r(y) = 132*y + 7. Let f(g) = 37*g + 2. Let a(p) = 7*f(p) - 2*r(p). Determine a(i(q)).", "a": "-5*q**2 + 1050*q" }, { "q": "Let a(w) = -422*w. Let d(x) = -3*x + 55. What is d(a(j))?", "a": "1266*j + 55" }, { "q": "Let m(u) = 3905039*u. Let z(v) = -3*v. Calculate m(z(s)).", "a": "-11715117*s" }, { "q": "Let v(c) = -10*c + 102. Let n be v(10). Let y(w) = 23*w**2 - 37*w**n + 27*w**2. Let i(d) = 3*d. Give y(i(x)).", "a": "117*x**2" }, { "q": "Let y(u) = -4*u. Let s(v) = -11*v**2 + 32492*v - 1. Determine y(s(m)).", "a": "44*m**2 - 129968*m + 4" }, { "q": "Let q(d) be the third derivative of -d**4/24 + 2*d**2. Let t(f) be the third derivative of 5*f**2 - 7/30*f**5 + 0 + 0*f + 0*f**3 + 0*f**4. Calculate t(q(r)).", "a": "-14*r**2" }, { "q": "Let i(h) = 3*h. Suppose -2*d - 20 = -2*y, 3*y - 31 = 5*d - 1. Let q(g) = y*g**2 - 9039*g + 9039*g. Calculate q(i(m)).", "a": "90*m**2" }, { "q": "Let q(d) = -3368*d**2 - 2*d. Let l(r) = -2*r - 12. Calculate l(q(x)).", "a": "6736*x**2 + 4*x - 12" }, { "q": "Let r(x) = -2*x**2 - 22*x - 2833. Let p(h) = -2*h. Give p(r(v)).", "a": "4*v**2 + 44*v + 5666" }, { "q": "Let r(w) be the second derivative of 0 - 1/4*w**4 + 0*w**3 - w + 0*w**2. Let y(n) be the third derivative of n**5/10 + 102*n**2. What is r(y(c))?", "a": "-108*c**4" }, { "q": "Let z(t) = -479*t**2 + 2*t. Let q(g) = 3338*g**2. Determine z(q(x)).", "a": "-5337134876*x**4 + 6676*x**2" }, { "q": "Let q(u) = 9*u. Let m(c) be the second derivative of 11*c**3/2 - 19*c - 10. What is m(q(f))?", "a": "297*f" }, { "q": "Let t(m) be the second derivative of 7*m**4/12 + 140*m. Let v(c) = c**3 + 13*c**2 + 11*c - 12. Let r be v(-12). Let n(l) = r - 5*l + 6*l + 0. Give n(t(s)).", "a": "7*s**2" }, { "q": "Let f(a) = -189971*a**2. Let z(i) = -2*i + 29. Calculate z(f(r)).", "a": "379942*r**2 + 29" }, { "q": "Let w(s) = 2*s**2 + 2*s - 156038. Let m(c) = -2*c. What is m(w(b))?", "a": "-4*b**2 - 4*b + 312076" }, { "q": "Let p(i) be the first derivative of -2*i**3 + 1041. Let l(w) = -w - 42. Determine p(l(t)).", "a": "-6*t**2 - 504*t - 10584" }, { "q": "Let m(b) = -5*b**2. Let s(v) = -153 - 154 + 37*v**2 + 609 - 148 - 150. Give m(s(r)).", "a": "-6845*r**4 - 1480*r**2 - 80" }, { "q": "Let u(t) be the first derivative of -2*t**3 - 2966. Let o(n) be the third derivative of n**5/30 - 2*n**2. Calculate u(o(y)).", "a": "-24*y**4" }, { "q": "Let n(b) = -350*b**2. Let u(i) = 2*i**2 + 2*i - 176. What is u(n(k))?", "a": "245000*k**4 - 700*k**2 - 176" }, { "q": "Let y(v) = -70832*v. Let w(d) = -303*d. What is w(y(j))?", "a": "21462096*j" }, { "q": "Let z(r) = 2*r. Let y(h) = -169*h**2 - 286. Let c(t) be the first derivative of 7*t**3/3 + 12*t - 65. Let u(m) = 143*c(m) + 6*y(m). Give u(z(l)).", "a": "-52*l**2" }, { "q": "Let j(z) = 7*z**2. Let d(t) be the first derivative of -5*t**3/2 + 17*t - 75. Let f(i) be the first derivative of d(i). Calculate f(j(m)).", "a": "-105*m**2" }, { "q": "Let k(t) = -6*t**2. Let n(w) = -55*w**2 + 27882. Determine n(k(y)).", "a": "-1980*y**4 + 27882" }, { "q": "Let y(p) = 2*p**2. Let z(c) = c**2 + 27*c + 94. Let h be z(-23). Let w(k) = -23*k**h + 822 - 822. Calculate w(y(j)).", "a": "-92*j**4" }, { "q": "Let x(d) = -d**2. Let b(s) = -1625*s**2 - 1709*s**2 + 3237*s**2. What is b(x(z))?", "a": "-97*z**4" }, { "q": "Let n be (-128)/(-44) - (-12)/132. Let u(w) be the second derivative of -13*w + 0 + 0*w**2 + 1/2*w**n. Let d(y) = -y**2. Give d(u(o)).", "a": "-9*o**2" }, { "q": "Let w(i) be the third derivative of 91*i**4/12 - 821*i**2. Let b(d) = d. Calculate w(b(v)).", "a": "182*v" }, { "q": "Let j(x) be the third derivative of 1/2*x**4 + 0*x**3 + 0 - 42*x**2 - 2*x. Let o(h) = -3*h**2. Give j(o(n)).", "a": "-36*n**2" }, { "q": "Let i(n) = -n + 7. Let q be i(3). Let d(s) = -s**2 + 0*s**2 - q*s**2 + 0*s**2. Let y(p) be the second derivative of -p**3/2 + 6*p. Determine d(y(v)).", "a": "-45*v**2" }, { "q": "Let d be (-2 - -2)*5/15. Let l(j) be the second derivative of 0 + d*j**2 + 7/6*j**3 - j. Let b(s) = s. Calculate b(l(k)).", "a": "7*k" }, { "q": "Let b be (3 - -1) + 30*1. Let n = 47 - b. Let s(c) = -n*c + 8*c + 12*c**2 + 5*c. Let a(q) = 2*q**2. Determine s(a(j)).", "a": "48*j**4" }, { "q": "Let n(p) = -118*p**2. Let s(r) = 27518*r**2. Calculate s(n(u)).", "a": "383160632*u**4" }, { "q": "Let m(y) = 4*y. Let b(t) = -2*t - 2. Let d(j) = 8*j + 9. Suppose 0 = 23*a - 25*a + 2. Let h be a/(-1*1/4). Let o(w) = h*d(w) - 18*b(w). Determine m(o(u)).", "a": "16*u" }, { "q": "Let l(w) = 3*w**2. Let o(i) = 531*i + 1377. Let s(q) = 7*q + 18. Let x(c) = -6*o(c) + 459*s(c). Determine l(x(h)).", "a": "2187*h**2" }, { "q": "Let q(c) = -3*c. Let z(r) = 448896*r + 6. Give q(z(f)).", "a": "-1346688*f - 18" }, { "q": "Let m(c) be the third derivative of -54*c**2 + 0*c - 1/8*c**4 + 0 + 0*c**3. Let u(x) = -18*x. Give m(u(g)).", "a": "54*g" }, { "q": "Let j(d) = 129*d**2. Let i(z) = -37*z. Let k(s) = -7*s. Let b(h) = 6*i(h) - 34*k(h). Give b(j(g)).", "a": "2064*g**2" }, { "q": "Let x(b) be the third derivative of 0 - 5/3*b**3 + 0*b - 10*b**2 + 1/3*b**4. Let l(p) = -p + 1. Let z(t) = 20*l(t) + 2*x(t). Let j(y) = -3*y. What is j(z(w))?", "a": "12*w" }, { "q": "Let b(g) = -g. Let o(k) = 53*k + 5. Let m(y) be the second derivative of -928*y**3/3 - 87*y**2 - 44*y + 2. Let v(f) = 5*m(f) + 174*o(f). Calculate v(b(z)).", "a": "58*z" }, { "q": "Let j(w) = -12*w**2. Let o(r) = -188760*r**2. What is j(o(g))?", "a": "-427564051200*g**4" }, { "q": "Let i(u) = -4*u - 2*u + 8*u - u. Let y(k) = 25*k. Let m be 2*3*(-5)/(-15). Let d(n) = 12*n. Let v(h) = m*y(h) - 5*d(h). Determine v(i(o)).", "a": "-10*o" }, { "q": "Let l(r) = 6*r. Let p(d) = d. Suppose -t - 6 = -j, t - 3*t + 5*j = 24. Let b(v) = t*l(v) + 11*p(v). Let s(g) = 132*g. What is b(s(n))?", "a": "-132*n" }, { "q": "Let q(u) = 13*u**2 + 33*u - 20. Let c(m) = -37*m**2 - 100*m + 55. Let z(b) = 4*c(b) + 11*q(b). Let j(t) = t. Determine z(j(w)).", "a": "-5*w**2 - 37*w" }, { "q": "Let g(n) = 4*n + 3394. Let w(m) = -17*m. Give w(g(b)).", "a": "-68*b - 57698" }, { "q": "Let n(q) = 1698*q. Let c(v) = -4771*v**2. Determine c(n(u)).", "a": "-13755766284*u**2" }, { "q": "Let r(m) = 3*m. Let g(c) = -156*c**2 - 16279. What is r(g(p))?", "a": "-468*p**2 - 48837" }, { "q": "Suppose 56 = -4*w + 4*d, w - 5*d + 31 = -w. Let r = 16 + w. Let p(h) = -r*h - 10*h + 15*h. Let u(m) = -m. Determine p(u(c)).", "a": "-2*c" }, { "q": "Let r = -163 + 165. Let m(q) = 5*q**r + 21*q**2 + 3*q**2 + 41*q**2. Let t(l) = l**2. What is m(t(c))?", "a": "70*c**4" }, { "q": "Let b(w) = 48871 + w - 48871. Let v(o) = 2*o - 284. Give v(b(p)).", "a": "2*p - 284" }, { "q": "Let a(o) = -5*o - 3. Let y(s) = -178 + 84 + 90 - 5*s. Let f(b) = -4*a(b) + 3*y(b). Let x(p) = -p**2. Give f(x(k)).", "a": "-5*k**2" }, { "q": "Let b be 1 - (20/(-8) - 15/(-10)). Let m(l) = b - 4 + 8*l**2 + 2. Let y(q) = 4*q**2. Calculate m(y(i)).", "a": "128*i**4" }, { "q": "Let c(k) = -17*k + 4. Let n(j) = 50619*j. What is n(c(a))?", "a": "-860523*a + 202476" }, { "q": "Let i(c) = 333*c - 3. Let r(y) be the third derivative of -y**5/60 + 869*y**2. Calculate i(r(v)).", "a": "-333*v**2 - 3" }, { "q": "Let g(y) = -10828*y. Let w(a) = -2219*a**2. Determine g(w(r)).", "a": "24027332*r**2" }, { "q": "Let m(b) = -207*b**2 + 7*b - 215*b**2 + 499*b**2 + b. Let s(z) = -2*z**2. Calculate m(s(i)).", "a": "308*i**4 - 16*i**2" }, { "q": "Let g(b) = 9*b - 1. Let v(u) be the first derivative of -6*u**2 - 240. What is v(g(k))?", "a": "-108*k + 12" }, { "q": "Let v(a) = 58*a + 20600. Let d(w) = -w. What is d(v(b))?", "a": "-58*b - 20600" }, { "q": "Let o(z) = -14*z**2. Let m(r) be the first derivative of -r**2/2 - 6*r + 1554. Give m(o(d)).", "a": "14*d**2 - 6" }, { "q": "Let s(c) be the second derivative of 2*c**3/3 + 17*c + 25. Let h(t) = -464*t. What is h(s(m))?", "a": "-1856*m" }, { "q": "Let s(y) be the third derivative of 0*y**3 - 1/12*y**4 + 0 + 0*y - 11*y**2. Let v(n) = -n**2 - 8. What is s(v(i))?", "a": "2*i**2 + 16" }, { "q": "Let q(a) = 6*a**2. Let l(m) be the third derivative of 19*m**5/30 - m**4/6 + 168*m**2. Give l(q(c)).", "a": "1368*c**4 - 24*c**2" }, { "q": "Let s(f) = f + 2069. Let j(u) = -3*u**2 - 20. Let k(n) = 5*n**2 + 35. Let l(c) = -7*j(c) - 4*k(c). Give l(s(m)).", "a": "m**2 + 4138*m + 4280761" }, { "q": "Let c(t) = -2477*t. Let q(p) = 11*p**2 + 128*p. Determine q(c(x)).", "a": "67490819*x**2 - 317056*x" }, { "q": "Let o be 1 + 3 + 0/(-4). Let p(b) = -6*b - o*b + 11*b - 1 - 4*b. Let l(i) = -3*i. Give p(l(g)).", "a": "9*g - 1" }, { "q": "Let h(f) = f. Let w(x) = 295852*x**2. Determine w(h(n)).", "a": "295852*n**2" }, { "q": "Let h(a) = 203*a. Let p(o) be the first derivative of o**2/2 - 397. Give p(h(z)).", "a": "203*z" }, { "q": "Let m(r) = -8*r + 8. Let d(a) = -65577*a. What is d(m(t))?", "a": "524616*t - 524616" }, { "q": "Let m(h) = -2*h + 0*h + 4*h. Let p(y) be the third derivative of -y**6/24 - 33*y**3/2 - 111*y**2. Let x(j) be the first derivative of p(j). Give m(x(r)).", "a": "-30*r**2" }, { "q": "Let q(i) = i. Let m(w) = 1399919*w**2. Determine q(m(r)).", "a": "1399919*r**2" }, { "q": "Let f(u) be the third derivative of 0*u**3 - 1/3*u**5 + 0*u**4 - 3*u + 0 + 10*u**2. Let n(s) = -3*s**2. What is n(f(b))?", "a": "-1200*b**4" }, { "q": "Let p(q) = q**2 + 3*q - 3*q. Let y(m) = -m**3 - m + 12. Let r be y(0). Let o(w) = 473 - 473 - r*w**2. What is p(o(k))?", "a": "144*k**4" }, { "q": "Let s(x) = -4*x**2 - 2*x**2 + 0*x**2 - x**2. Let a(h) = 20*h**2 + 3*h + 7. Let b be a(-2). Let m(r) = 84 + b - 165 + 3*r. What is m(s(o))?", "a": "-21*o**2" }, { "q": "Let q(s) be the second derivative of -7*s**4/12 - 2*s + 38. Let t(y) = -25*y + 1. Give q(t(n)).", "a": "-4375*n**2 + 350*n - 7" }, { "q": "Let g(p) be the second derivative of p**3/6 - 1072*p. Let k(v) = 35 - 35 + 16*v. Give g(k(j)).", "a": "16*j" }, { "q": "Let n(u) = u. Let q(f) = -1 - 837*f**2 - 7 + 116*f**2 + 8. Determine q(n(c)).", "a": "-721*c**2" }, { "q": "Let q(k) = -1421*k**2. Let g(f) = -3*f**2 + 587. Give g(q(j)).", "a": "-6057723*j**4 + 587" }, { "q": "Let s(a) = -243*a. Let g(w) be the third derivative of w**4/24 - 229*w**2. What is g(s(y))?", "a": "-243*y" }, { "q": "Let t(o) = o**2 - 75*o. Let q(v) = v**2 - 30*v. Let r(d) = -5*q(d) + 2*t(d). Let u(j) = -1004*j**2. Calculate u(r(p)).", "a": "-9036*p**4" }, { "q": "Let j(d) = -24*d**2. Let s be (-2 - 1) + 3 - (-10 + 8). Let u(a) = -249 + 126 - a**s + 123. Calculate u(j(w)).", "a": "-576*w**4" }, { "q": "Let f be ((-198)/(-27) - 6)*(-3)/(-2). Let o(r) = -130*r + 4. Let t(w) = 12610*w - 390. Let v(q) = f*t(q) + 195*o(q). Let i(a) = 2*a. Determine v(i(m)).", "a": "-260*m" }, { "q": "Let h(f) = f**2. Let t(p) be the second derivative of -p**7/630 - p**4/12 - p**3/3 - 2*p + 12. Let g(q) be the third derivative of t(q). Give h(g(b)).", "a": "16*b**4" }, { "q": "Let v(h) be the first derivative of -26*h**2 + 975. Let y(s) = 9*s**2. Determine v(y(a)).", "a": "-468*a**2" }, { "q": "Let w(y) = y + 7. Let c(d) = -4*d - 35. Let v(j) = c(j) + 5*w(j). Suppose 0*m - 5*m + 8 = 3*p, 0 = m + 2*p + 4. Let n(q) = 3*q + 4 - m. Calculate n(v(l)).", "a": "3*l" }, { "q": "Suppose 34*s - 15*s = 5*s. Let g(c) be the second derivative of 7*c + 0*c**3 - 1/12*c**4 + 0 + s*c**2. Let j(l) = -5*l. What is g(j(r))?", "a": "-25*r**2" }, { "q": "Let d(b) = -172407*b**2. Let v(f) = -10*f**2. Calculate v(d(i)).", "a": "-297241736490*i**4" }, { "q": "Let m(r) = 802*r**2. Let k(n) be the second derivative of -n**3/6 - n - 159. What is k(m(z))?", "a": "-802*z**2" }, { "q": "Let a(d) = 3*d + 6309. Let c(g) = 18*g. Give a(c(k)).", "a": "54*k + 6309" }, { "q": "Let l(u) = -17*u**2. Let h(b) = -290337*b. Determine h(l(a)).", "a": "4935729*a**2" }, { "q": "Let u(n) = -2*n**2. Let t(x) = -3*x**2 + x - 114267. Give t(u(m)).", "a": "-12*m**4 - 2*m**2 - 114267" }, { "q": "Let t be 58/10 - (-6)/30. Let u(j) = 2 - 22*j - 32*j + t*j. Let q(r) = -r. Calculate q(u(x)).", "a": "48*x - 2" }, { "q": "Let n(w) = 3*w + 14. Let m(l) = -3797*l**2 - 3*l. Determine n(m(d)).", "a": "-11391*d**2 - 9*d + 14" }, { "q": "Let z(y) = -5*y**2 + 146454. Let i(n) = -2*n. Determine i(z(r)).", "a": "10*r**2 - 292908" }, { "q": "Let x(n) = -n**2. Let d(w) = -14*w - 814. Let m(u) = 17*u + 807. Let o(r) = 6*d(r) + 5*m(r). What is o(x(k))?", "a": "-k**2 - 849" }, { "q": "Let i = 37 - 76. Let u = 43 + i. Let h(a) = -4*a**2 + 9*a**2 - u*a**2. Let z(r) = 7*r. Determine h(z(p)).", "a": "49*p**2" }, { "q": "Let b(n) be the first derivative of -19*n**3 + 336. Let i(r) = -38*r**2. Calculate i(b(x)).", "a": "-123462*x**4" }, { "q": "Let h(c) = 1990 + 54*c - 1990. Let n(l) = 5*l**2. Determine n(h(k)).", "a": "14580*k**2" }, { "q": "Suppose -24*u + 26*u = 10. Let d(f) = -20*f - 8*f + u*f. Let k(q) = -q. Determine d(k(n)).", "a": "23*n" }, { "q": "Let m(q) = -2*q**2 + 762*q + 290. Let d(j) = -j**2. Give m(d(g)).", "a": "-2*g**4 - 762*g**2 + 290" }, { "q": "Let l(d) = 977*d**2 + 1467*d**2 + 6 - 6. Let m(c) = c. What is m(l(i))?", "a": "2444*i**2" }, { "q": "Let d(w) = -129*w**2. Let u(v) = 2*v**2 + 0*v - 4*v + 11*v - 7*v. Determine u(d(o)).", "a": "33282*o**4" }, { "q": "Let b(d) = -2269*d**2. Let r(q) = 150*q**2 - 47*q**2 - 50*q**2 - 55*q**2. Calculate b(r(t)).", "a": "-9076*t**4" }, { "q": "Let u(d) be the second derivative of -13*d**3/6 + 193*d + 3. Let o(r) = 46*r**2. What is u(o(s))?", "a": "-598*s**2" }, { "q": "Let t(d) = -732*d**2. Let u(l) = -4*l - 12. Let k(v) = -2*v - 9. Let h(g) = 4*k(g) - 3*u(g). Determine h(t(s)).", "a": "-2928*s**2" }, { "q": "Let i(c) = 0*c + 12*c + 3*c - 19*c. Let p(j) = -113*j**2. Give i(p(q)).", "a": "452*q**2" }, { "q": "Let f(g) = -3*g**2. Let p(j) = -92*j + 150. Let d(m) = 31*m - 53. Let v(c) = -17*d(c) - 6*p(c). Calculate f(v(w)).", "a": "-1875*w**2 - 150*w - 3" }, { "q": "Let a(h) = 3*h**2. Let i(u) be the third derivative of -19*u**4/4 - 5*u**3/3 - 38*u**2. Let q(m) = -38*m - 3. Let t(d) = 3*i(d) - 10*q(d). Calculate t(a(w)).", "a": "114*w**2" }, { "q": "Let v(y) be the second derivative of -17*y**3/6 - 2*y - 18. Let h(f) = 2*f - 5. Let s(x) = x - 2. Let g(p) = -2*h(p) + 5*s(p). Give v(g(t)).", "a": "-17*t" }, { "q": "Let o(m) = -283*m. Let b(x) = 18371*x. What is o(b(h))?", "a": "-5198993*h" }, { "q": "Let k(b) be the third derivative of -86 + 0*b + 0*b**3 + 2*b**2 + 1/4*b**4. Let h(t) = -t**2 - t**2 + 4*t**2. Give h(k(o)).", "a": "72*o**2" }, { "q": "Let x(j) = -j**2. Let r(b) = -7*b - 18. Let s(a) = -15*a - 40. Let k(c) = -5*r(c) + 2*s(c). Calculate x(k(h)).", "a": "-25*h**2 - 100*h - 100" }, { "q": "Let p(n) = 16925*n**2 - 75*n + 50. Let x(s) = -2821*s**2 + 12*s - 8. Let g(z) = -4*p(z) - 25*x(z). Let q(c) = 2*c. Give q(g(h)).", "a": "5650*h**2" }, { "q": "Let n(m) = -10*m**2 - 4*m + 8. Let c(k) = 252*k**2 + 99*k - 198. Let u(r) = 4*c(r) + 99*n(r). Let o(a) = 6*a**2. Calculate u(o(s)).", "a": "648*s**4" }, { "q": "Let h(m) = -2*m + 66. Let k(v) = 44650*v. Give h(k(n)).", "a": "-89300*n + 66" }, { "q": "Let t(p) = 3*p. Let x(d) = -1246405*d. Determine x(t(a)).", "a": "-3739215*a" }, { "q": "Let j(s) = s. Let a(l) = -26*l - 14 + 16 + 10 - 12. Determine a(j(p)).", "a": "-26*p" }, { "q": "Let x(r) be the first derivative of r**5/60 + 4*r**2 + 3*r - 27. Let q(j) be the second derivative of x(j). Let f(p) = p**2. Calculate f(q(v)).", "a": "v**4" }, { "q": "Let b(w) = -56*w**2 - 53*w**2 + 164*w**2 - 53*w**2. Suppose -o - o + 82 = 0. Let q(d) = 41 - o + 8*d**2. What is q(b(n))?", "a": "32*n**4" }, { "q": "Let f(m) be the second derivative of -1/6*m**4 + 0 + 0*m**2 + 0*m**3 - 5*m. Let j(y) = -4*y - 6. Let n(h) = h + 2. Let g(d) = j(d) + 3*n(d). Give f(g(a)).", "a": "-2*a**2" }, { "q": "Let v(p) be the second derivative of -30*p - 2/3*p**3 + 0*p**2 + 0. Let x(h) = -4*h**2. Let d(j) = -j**2. Let i(t) = 18*d(t) - 4*x(t). Determine v(i(f)).", "a": "8*f**2" }, { "q": "Let k(u) = 4*u - 132. Let f(r) = 11. Let j(l) = -12*f(l) - k(l). Let s(a) = 19*a**2. Calculate j(s(n)).", "a": "-76*n**2" }, { "q": "Let b(z) = -4*z. Let f(k) = 8*k + 87. Let w be f(-8). Let y(l) = 22*l + w*l + 6*l - 67*l. What is y(b(q))?", "a": "64*q" }, { "q": "Let n(a) be the second derivative of 5*a**4/3 + 17*a. Let o(k) be the second derivative of k**3/2 - k. What is n(o(t))?", "a": "180*t**2" }, { "q": "Let l(g) = -g - 2. Let b(r) = 2*r**2 - 4*r - 8. Let j(f) = -b(f) + 4*l(f). Let y(m) = -22*m. Determine y(j(u)).", "a": "44*u**2" }, { "q": "Let n(v) = 561777*v**2 - v. Let u(z) = 8*z**2. Determine n(u(r)).", "a": "35953728*r**4 - 8*r**2" }, { "q": "Let y(n) = 3*n - 4*n - 1 - 5*n. Let t(c) = -83*c. Let w(b) = 285*b. Let l(m) = 24*t(m) + 7*w(m). Give y(l(g)).", "a": "-18*g - 1" }, { "q": "Let m(j) = -5*j + 11. Let i(q) = q - 2. Let n(w) = 33*i(w) + 6*m(w). Let z(y) be the first derivative of y**3/3 - y**2/2 + 11598. Calculate z(n(t)).", "a": "9*t**2 - 3*t" }, { "q": "Let b(h) = 21*h**2. Let p(y) = -542671*y. Give p(b(k)).", "a": "-11396091*k**2" }, { "q": "Let x(g) = 10*g**2. Let a(z) = -52*z + 9094. What is a(x(d))?", "a": "-520*d**2 + 9094" }, { "q": "Let d(c) = 6*c - 11. Let x(g) = -g + 2. Let k(v) = -2*d(v) - 11*x(v). Let z(a) = 33*a - 13*a - 19*a. Let j(h) = -2*k(h) + z(h). Let t(p) = 2*p. What is t(j(b))?", "a": "6*b" }, { "q": "Let j(f) = -19*f - 16*f + 2*f. Let b(v) be the first derivative of 3*v**2/2 + 3170. Determine b(j(x)).", "a": "-99*x" }, { "q": "Let f(i) = 534*i**2. Let s(k) = 81*k**2 - 48*k. Let l(t) = -17*t**2 + 10*t. Let o(q) = -24*l(q) - 5*s(q). Calculate f(o(v)).", "a": "4806*v**4" }, { "q": "Suppose -23*s = -85*s + 124. Let u(n) be the third derivative of -1/30*n**5 + 0*n**3 + 0 + 7*n**s + 0*n + 0*n**4. Let v(i) = -8*i**2. Determine u(v(l)).", "a": "-128*l**4" }, { "q": "Let o(n) = 25103*n. Let p(s) = 36*s + 1. What is p(o(l))?", "a": "903708*l + 1" }, { "q": "Let t(b) = -12*b. Suppose 13*p - 231 = 2*p. Suppose -p*d = -18*d - 9. Let y(u) = -5*u + 0*u + d*u. What is t(y(c))?", "a": "24*c" }, { "q": "Let c(k) = 2*k**2. Suppose -12*u + 40 - 4 = 0. Let w(x) be the third derivative of 0 + 1/8*x**4 + 0*x + 13*x**2 + 0*x**u. Calculate c(w(q)).", "a": "18*q**2" }, { "q": "Let r(q) = 835*q - 2. Let t(i) = -3*i**2 + 88*i + 4. What is t(r(z))?", "a": "-2091675*z**2 + 83500*z - 184" }, { "q": "Let o(t) = -6*t + 11. Let i be o(2). Let w(p) = p + 1. Let x(u) = 4*u + 3. Let d(h) = i*x(h) + 3*w(h). Let r(s) = -s + 8. Give d(r(z)).", "a": "z - 8" }, { "q": "Let k(p) = -2*p**2. Let z(q) be the third derivative of 11*q**6/360 - q**4/24 - 3*q**3 + 6*q**2. Let y(f) be the second derivative of z(f). Determine y(k(g)).", "a": "-44*g**2" }, { "q": "Let i(q) = -q. Let k be (-9)/(-3) - 3*(-1 + 2). Let g be (k - -4)/(-12)*-6. Let s(m) = -7*m + 0*m + 7*m + g*m. Give i(s(l)).", "a": "-2*l" }, { "q": "Let t(p) = -45625*p. Let u(x) = 80*x**2. Determine u(t(w)).", "a": "166531250000*w**2" }, { "q": "Let y(u) = -6*u. Let o(z) = 1811711*z - 1. Give o(y(g)).", "a": "-10870266*g - 1" }, { "q": "Let a(p) = 7*p**2 + 21*p + 21. Let o = -28 - -31. Let h be 15/(-10)*-1*2/o. Let n(i) = -i - 1. Let k(y) = h*a(y) + 21*n(y). Let s(l) = l**2. Determine s(k(j)).", "a": "49*j**4" }, { "q": "Let a(k) be the third derivative of -k**6/720 + 3*k**4/8 + 10*k**2 + 3. Let z(l) be the second derivative of a(l). Let r(v) = -27*v**2. Give z(r(b)).", "a": "27*b**2" }, { "q": "Let i(x) be the second derivative of -x**4/12 + x. Let v(r) = -23*r + 5. Let m(u) = -72 - 58*u + 162 - 78. Let b(a) = -5*m(a) + 12*v(a). What is b(i(z))?", "a": "-14*z**2" }, { "q": "Let c(d) = -17*d**2. Let g(u) = 335335*u. Determine c(g(h)).", "a": "-1911642557825*h**2" }, { "q": "Let k(n) = -6*n**2 - 27. Let o(b) = 7*b**2 + 36. Let t(v) = -4*k(v) - 3*o(v). Let i(h) = -224*h - 1. Determine t(i(r)).", "a": "150528*r**2 + 1344*r + 3" }, { "q": "Let o(f) = 75653*f**2. Let d(k) = -89*k**2. Calculate o(d(q)).", "a": "599247413*q**4" }, { "q": "Let g(i) be the first derivative of 0*i**2 + 34 + 11/3*i**3 + 0*i. Let r(p) = 4*p. Determine r(g(q)).", "a": "44*q**2" }, { "q": "Let l(s) = 16986*s**2 - 33978*s**2 + 16987*s**2. Let w(y) = 82*y**2 + 2*y. What is w(l(t))?", "a": "2050*t**4 - 10*t**2" }, { "q": "Suppose 0 = -3*a + 5*h + 76, -a - 3*h = -4*a + 66. Let f = a + -8. Let w(i) = -14*i + 5*i + 4*i**2 + f*i. Let p(n) = 3*n**2. What is w(p(k))?", "a": "36*k**4" }, { "q": "Let p(l) = -3*l**2. Let c(w) be the second derivative of 199*w**3/6 + 431*w. Give p(c(j)).", "a": "-118803*j**2" }, { "q": "Let b(w) = -3*w**2. Let k(i) be the second derivative of -i**3/2 + 3*i**2 - 1233*i. What is k(b(o))?", "a": "9*o**2 + 6" }, { "q": "Let i(t) = 9*t**2 - 11*t + 11. Let p = -227 + 233. Let u(w) = 5*w**2 - 6*w + 6. Let o(s) = p*i(s) - 11*u(s). Let r(h) = 28*h + 2. Calculate o(r(n)).", "a": "-784*n**2 - 112*n - 4" }, { "q": "Let s(u) = -3*u**2. Let i(x) = 2*x + 1. Let a(p) = 2. Let t(o) = -3*o + 10. Let v(w) = -5*a(w) - t(w). Let b(f) = 2*i(f) - v(f). Calculate s(b(c)).", "a": "-3*c**2 - 132*c - 1452" }, { "q": "Let j(i) be the third derivative of 0*i + 4 + 71/12*i**4 + 0*i**3 - 3*i**2. Let h(n) = -2*n. Determine h(j(o)).", "a": "-284*o" }, { "q": "Let k(d) = -d. Let h(p) = 117*p + 78. Let i(v) = v + 1. Let j = -23 + 25. Suppose j*q - 3 = 5*q. Let y(b) = q*h(b) + 78*i(b). Determine y(k(a)).", "a": "39*a" }, { "q": "Let n(l) = -17*l - 1100. Let y(m) = 5*m**2 - 4. Calculate y(n(v)).", "a": "1445*v**2 + 187000*v + 6049996" }, { "q": "Let x(u) be the third derivative of 0*u + 0*u**3 - 1/24*u**4 - 67*u**2 - 1/6*u**5 + 0. Let l(o) = 3*o. Determine x(l(r)).", "a": "-90*r**2 - 3*r" }, { "q": "Let k(i) = -5*i**2. Let t = -2 - -34. Let w = -28 + t. Let y(l) = -139 - w*l + 139 + 0*l. What is y(k(z))?", "a": "20*z**2" }, { "q": "Let f(p) = 77 - 20 + 5*p**2 - 28 - 29. Let h(t) = t + 3. Let u(x) = -6*x - 17. Let a(i) = -34*h(i) - 6*u(i). What is a(f(g))?", "a": "10*g**2" }, { "q": "Let u(b) be the first derivative of -3*b**2 - 13. Suppose -p - 6 = -4*p. Let x(k) = p*k**2 - 7*k**2 + k**2 - 2*k**2. What is u(x(c))?", "a": "36*c**2" }, { "q": "Let f(t) be the third derivative of -t**8/4032 - 13*t**5/30 - t**3/6 - 45*t**2 + 2. Let d(z) be the third derivative of f(z). Let m(g) = -12*g. Give d(m(s)).", "a": "-720*s**2" }, { "q": "Let h(t) = -16*t. Let a(p) = 671*p**2 + 16*p + 1. Give a(h(u)).", "a": "171776*u**2 - 256*u + 1" }, { "q": "Let i(v) = -19*v - 26. Let j(r) = 61*r**2 - 4*r + 14. Give j(i(s)).", "a": "22021*s**2 + 60344*s + 41354" }, { "q": "Let k(l) = 2*l - 1554. Let i(w) = 9*w**2 + 168*w. What is i(k(u))?", "a": "36*u**2 - 55608*u + 21473172" }, { "q": "Let h(w) be the first derivative of -w**4/12 + w**2/2 + 28*w - 41. Let x(d) be the second derivative of h(d). Let l(g) = -9*g. Determine x(l(s)).", "a": "18*s" }, { "q": "Let g(k) = -3*k**2 - 2. Let h(s) = 25*s**2 + 17. Let n(m) = 51*g(m) + 6*h(m). Let p(j) be the third derivative of -j**4/4 + 152*j**2. What is p(n(w))?", "a": "18*w**2" }, { "q": "Let z(b) = 4 - 4 + 2*b**2. Let j(c) = 260938*c + 30*c**2 + 260938*c - 521876*c. What is z(j(a))?", "a": "1800*a**4" }, { "q": "Let m be 35 - (-3)/((-6)/8). Let g = m + -29. Let k(n) = 2*n**2 - n - n**g + n. Let u(c) = -8*c. Calculate k(u(z)).", "a": "64*z**2" }, { "q": "Let s(u) = -11*u. Let l(x) = -2*x - 3. Let z(q) = -q - 1. Let j(g) = l(g) - 3*z(g). Let o(n) = -5*n**2 + 5*n. Let r(d) = 5*j(d) - o(d). What is s(r(w))?", "a": "-55*w**2" }, { "q": "Let f(g) = 71*g**2 + 67*g**2 - 277*g**2 + 65*g**2 + 75*g**2. Let x(b) = 1477*b. Give x(f(z)).", "a": "1477*z**2" }, { "q": "Let g(u) = -31*u. Let d(z) be the second derivative of -17*z**3/6 + 367*z - 3. Determine d(g(k)).", "a": "527*k" }, { "q": "Let j(u) = 2*u**2. Let m(w) = 10*w**2 - 49872*w. Calculate m(j(l)).", "a": "40*l**4 - 99744*l**2" }, { "q": "Let f(h) = 3*h**2 - 273*h - 5. Let o(a) = 1892*a. What is o(f(q))?", "a": "5676*q**2 - 516516*q - 9460" }, { "q": "Let p(i) = -4*i. Let y(v) be the first derivative of -75*v**2 - 1299. Determine y(p(l)).", "a": "600*l" }, { "q": "Let x(m) be the first derivative of -2*m**3/3 - 188. Let r(v) be the second derivative of 47*v**3/3 - 13*v. Calculate r(x(l)).", "a": "-188*l**2" }, { "q": "Suppose -8 = -4*d - 0. Let g(b) = -b**2 + b**d + b**2 + 0*b**2. Let l(o) be the second derivative of -8*o**3/3 + 19*o + 4. Determine l(g(r)).", "a": "-16*r**2" }, { "q": "Let t(i) = 12*i. Let a(q) = -q**2 - 494310*q. Calculate a(t(x)).", "a": "-144*x**2 - 5931720*x" }, { "q": "Let l(t) = -3*t**2 - 9*t**2 + 4*t**2. Let q(k) = k**3 + 15*k**2 + 15*k + 17. Let b be q(-14). Let x(v) = -29 + b*v + 54 - 25. Give l(x(h)).", "a": "-72*h**2" }, { "q": "Let m(k) = k**2. Suppose -4*h - 4*x + 104 = 0, 14*h + 2*x - 142 = 9*h. Let g(w) = -27*w**2 + 21*w**2 - h*w**2 - 11*w**2. Calculate m(g(f)).", "a": "2209*f**4" }, { "q": "Suppose -2 = -j - k + 4, -4*j = k - 27. Let y(h) = -5*h + 2*h - j*h. Let m(b) = -144*b**2 + 217*b**2 - 71*b**2. Calculate y(m(z)).", "a": "-20*z**2" }, { "q": "Let m(w) = -12*w**2. Suppose -8*t + 3 = -5*t + 3*d, d + 11 = t. Let j(o) be the second derivative of t*o + 0 + 1/3*o**3 + 0*o**2. Determine m(j(i)).", "a": "-48*i**2" }, { "q": "Let t(x) = 19*x**2. Suppose -3*k = 4*h - 85432, -h - 4*k = -6*k - 21358. Let z(y) = 5*y**2 - h*y + 21358*y. Give t(z(o)).", "a": "475*o**4" }, { "q": "Let c(o) = -3*o**2. Let y(g) = 1636514*g**2. Give y(c(u)).", "a": "14728626*u**4" }, { "q": "Let q(j) = j**3 - 16*j**2 + j - 3. Let s be q(16). Let m(w) = -10 - 11 - s + 29*w + 33. Let r(u) = u**2. Determine m(r(t)).", "a": "29*t**2 - 1" }, { "q": "Let w(v) = -6*v. Let b = 86 - 39. Let r(n) = -48 - b - n + 95. Determine r(w(o)).", "a": "6*o" }, { "q": "Let h(x) = 80*x. Let f(b) = 2*b + 11632. Give f(h(t)).", "a": "160*t + 11632" }, { "q": "Let t(n) be the first derivative of -11*n**3/3 - 61. Let k(q) = 132*q. What is k(t(x))?", "a": "-1452*x**2" }, { "q": "Let l = 539 + -130. Let i(v) = l*v - 201*v - 210*v. Let c(o) = -80*o**2. What is c(i(m))?", "a": "-320*m**2" }, { "q": "Let g(d) = 2*d - 2. Let r = -57 - -54. Let t(k) = k. Let p(s) = -3*s. Let n(l) = r*p(l) - 6*t(l). Calculate n(g(q)).", "a": "6*q - 6" }, { "q": "Let b(x) = -225071*x**2 - 3*x + 3. Let y(n) = -n. What is y(b(l))?", "a": "225071*l**2 + 3*l - 3" }, { "q": "Let i(p) be the first derivative of 10*p**3/3 + 1015. Let h(s) = 4*s - 18. Give i(h(n)).", "a": "160*n**2 - 1440*n + 3240" }, { "q": "Let g(m) = 55*m**2 - 8*m - 9. Let x(a) = 4*a**2 - 2*a - 2. Let q(j) = g(j) - 4*x(j). Let r(w) = -3*w**2. What is q(r(c))?", "a": "351*c**4 - 1" }, { "q": "Let h(s) = -200*s - 431*s**2 + 99*s + 101*s + 1493*s**2. Let b(q) = -q. Give h(b(z)).", "a": "1062*z**2" } ]