[ { "q": "Let z(a) = -871*a + 415. Is z(-16) a composite number?", "a": "True" }, { "q": "Suppose 41067 = 7*t - 8738. Let j(f) = -f**2 - 6*f - 5. Let q be j(-5). Suppose 4*o + o - t = q. Is o a composite number?", "a": "False" }, { "q": "Suppose -4*p - 4*n + 138 = -2*p, -74 = -p - 3*n. Suppose -2*j + 611 - p = 0. Let r = 409 - j. Is r a composite number?", "a": "True" }, { "q": "Let v be (-1)/(2 + (-20317)/10158). Suppose -5*k = -8*k + 21. Suppose 0 = -a + k*a - v. Is a composite?", "a": "False" }, { "q": "Let s(q) = -q**2 - 4*q + 1. Let x be s(-5). Is (x - -487) + (3 - 7) composite?", "a": "False" }, { "q": "Suppose 0 = 2*g + 3*i - 5*i - 3460, 2*g + 3*i - 3465 = 0. Suppose -32*q + g = -31*q. Is q composite?", "a": "True" }, { "q": "Let y be (-3 + 1 + 5)/(3/7). Let l(w) = 473*w - 18. Is l(y) composite?", "a": "True" }, { "q": "Let g be 16/5 + 3/(-30)*2. Suppose g*w = -2*w + 1825. Suppose -4*p = -3*p - w. Is p composite?", "a": "True" }, { "q": "Let i(a) = -a - 22. Let t be i(17). Is ((-9)/6)/(t/35906) a composite number?", "a": "False" }, { "q": "Let p(v) = 14760*v - 167. Is p(7) a prime number?", "a": "False" }, { "q": "Let z(o) = -225*o + 126. Let m be z(-21). Suppose -3*y = -3*k - 3636, 5*y - k - m = y. Is y prime?", "a": "True" }, { "q": "Let h(w) = 22*w**2 + w + 5. Suppose -3*k + 12 = k. Let y(c) = -21*c**2 - c - 6. Let f(p) = k*h(p) + 2*y(p). Is f(-2) a prime number?", "a": "True" }, { "q": "Is (-318)/265 - (-858273)/15 prime?", "a": "False" }, { "q": "Let r(z) = z**2 - 8*z - 20. Let v be r(11). Suppose v*p = 15*p - 4666. Is p a composite number?", "a": "False" }, { "q": "Let k be 6/18*3*(0 - -5). Suppose k*g = -j + 35, 5*j + 2*g = g + 271. Is j composite?", "a": "True" }, { "q": "Suppose -3*v - 75*s + 75019 = -79*s, 0 = -2*v - s + 50031. Is v a prime number?", "a": "True" }, { "q": "Let v = 2 + 2. Let l = 3631 + -3626. Suppose v*g = -0*y + 5*y + 483, y - l = 0. Is g prime?", "a": "True" }, { "q": "Suppose -3*f - 5 = -0*f - 5*o, f + 3*o = 17. Suppose 999 = d - q + f*q, -1020 = -d + 3*q. Is d a composite number?", "a": "True" }, { "q": "Let x = 1078562 + -672933. Is x a composite number?", "a": "True" }, { "q": "Let l = -174 + 118. Let k = 71 - l. Is k a prime number?", "a": "True" }, { "q": "Let u(o) be the second derivative of 3*o - o**2 + 0 + 269/6*o**3. Is u(1) a prime number?", "a": "False" }, { "q": "Suppose -5*r - u + 15 = 0, -5*u + 0*u = 2*r + 17. Suppose i - 9 = r*i, a = i + 7. Suppose z = -2, -4*b + 45 = -a*z - 3139. Is b a prime number?", "a": "False" }, { "q": "Let f be -6 + 8 - (6 + 4). Let a(t) = 138*t**2 + 5*t + 11. Is a(f) a composite number?", "a": "False" }, { "q": "Let o(c) = 150*c**2 - 20*c - 9. Suppose -b - 1 = -5*g + 4, -2*g - 16 = -4*b. Is o(b) a composite number?", "a": "True" }, { "q": "Suppose 0 = k + 2, 24*c - 3*k = 19*c + 195721. Is c composite?", "a": "True" }, { "q": "Suppose 34*r = 33*r + 56*r - 292270. Is r a composite number?", "a": "True" }, { "q": "Let h(t) = 4*t - 65. Let m be h(15). Let z(b) = 147*b**2 + 21*b + 9. Is z(m) composite?", "a": "True" }, { "q": "Let q = -1179 + 545. Is 5/(5/q)*25/(-50) a composite number?", "a": "False" }, { "q": "Let p = 1660 - -9613. Is p a composite number?", "a": "False" }, { "q": "Let z be (-6)/18*0/2. Suppose 5*g = -5*n + 19670, 0 = -z*g - 5*g - 15. Is n a prime number?", "a": "False" }, { "q": "Is (-1116)/93 - (0 + -1201) a composite number?", "a": "True" }, { "q": "Suppose -1134 + 138 = -4*r - 4*w, 3*r - w = 755. Is r prime?", "a": "True" }, { "q": "Let l be (9/(-2))/((-54)/72). Let i(q) = -l*q - 23 + 0*q - 2 - 17*q. Is i(-10) composite?", "a": "True" }, { "q": "Is (-3)/(6/(-79346)) + -2 prime?", "a": "True" }, { "q": "Let j be 2/(-16) - (-2)/((-48)/501). Is (-13 - 0)*(20 + j) prime?", "a": "True" }, { "q": "Suppose -3568 = -36*o + 40*o. Let a = o + 1385. Is a composite?", "a": "True" }, { "q": "Let d(f) = 3*f + 26*f + 8 + 48*f. Suppose 139 = 12*l + 79. Is d(l) composite?", "a": "True" }, { "q": "Let p be (-9)/2*(0 + 8/(-18)). Suppose -2*m - 3*h + 6*h = -1989, -p*h = -m + 995. Is m composite?", "a": "True" }, { "q": "Let r(i) = -4*i + 26 + 17*i**2 + 26*i**2 - 40*i**2 - i**3 - i. Is r(-9) composite?", "a": "True" }, { "q": "Suppose -5*d = 2*k - 23, -4*d + 0*k = -5*k + 8. Suppose -2*y + 30 = d*y. Is ((-51)/34)/(y/(-1004)) a composite number?", "a": "False" }, { "q": "Let i = -24 + 30. Suppose -5*t + i*t + 1953 = 4*j, j - 492 = -t. Is j composite?", "a": "True" }, { "q": "Suppose 15*g = -7200 + 56610. Let d = g - -1477. Is d a composite number?", "a": "True" }, { "q": "Let x = -67835 - -124072. Is x prime?", "a": "True" }, { "q": "Let l be 2*5/45 + (-331)/(-9). Suppose 8*g = l - 173. Is (-3 - -77)/((-2)/g) a prime number?", "a": "False" }, { "q": "Let c(b) = -142490*b + 147. Is c(-1) a prime number?", "a": "False" }, { "q": "Suppose -5*q - 12 = 3*s - 7*q, 4 = -s - 3*q. Suppose 2*b + 3*b = 5. Is 580 + (-3 - s)/b composite?", "a": "True" }, { "q": "Let k be 1*-1*(-5 + 2). Suppose -66*z + 3919 = -6905. Suppose 3*g + z = s, -7*g - 765 = -5*s - k*g. Is s prime?", "a": "True" }, { "q": "Let s(k) = -2901*k**3 - 9*k - 9. Let x(q) = -2900*q**3 + q**2 - 8*q - 7. Let j(n) = 4*s(n) - 5*x(n). Is j(1) composite?", "a": "True" }, { "q": "Suppose 0 = -70*q + 78*q - 24. Suppose -7744 = -4*z - 5*j, z + q*j - 3874 = -z. Is z composite?", "a": "False" }, { "q": "Let x(j) = j**3 + 19*j**2 + j + 1. Let s be x(-19). Let c be 3/12 + 13/(-4). Is (3342/s)/(1/c) composite?", "a": "False" }, { "q": "Let x(m) = -m**2 - m. Let q(h) be the third derivative of -23*h**6/60 - h**5/30 - h**4/12 + h**3/6 - 8*h**2. Let c(y) = q(y) + 2*x(y). Is c(-3) composite?", "a": "True" }, { "q": "Let g(h) = -2*h**2 + 45*h + 112334. Is g(0) composite?", "a": "True" }, { "q": "Let j = 53984 + -24657. Is j composite?", "a": "False" }, { "q": "Let v(x) = 1506*x**2 + 6*x - 35. Is v(-3) a composite number?", "a": "True" }, { "q": "Suppose 52*f - 5701406 = -84*f - 2010774. Is f prime?", "a": "False" }, { "q": "Let s(v) = v**2 + 749. Let z(d) = 8*d + 80. Let c be z(-10). Is s(c) composite?", "a": "True" }, { "q": "Let t be ((-4)/(-3))/2 + 26052/18. Suppose -4*n + t = 4*n. Suppose -3*v + n + 14 = 0. Is v a composite number?", "a": "True" }, { "q": "Let r = -275 - 3391. Let b = -115 - r. Is b prime?", "a": "False" }, { "q": "Suppose -h - 673 - 417 = 0. Is ((-22)/4)/(5/h) a composite number?", "a": "True" }, { "q": "Is (-9367517)/(-801) + (-4)/(-18) a prime number?", "a": "False" }, { "q": "Suppose 2*c - 4*k + 56 = 0, -5*c + 4*k = k + 119. Let p(d) = -17*d + 75. Is p(c) composite?", "a": "False" }, { "q": "Suppose 2 = -3*o + 4*o. Let k(v) = 16*v + 18 + 23*v - 37*v + 0*v**2 + v**o. Is k(13) composite?", "a": "True" }, { "q": "Is (149164/(-16))/(((-245)/(-40) - 6)*-2) composite?", "a": "True" }, { "q": "Is (-6 + 7 + 1024 + -6)*7 composite?", "a": "True" }, { "q": "Suppose 50295 + 46552 = h. Is h a composite number?", "a": "False" }, { "q": "Let w(p) = -2*p + 3. Let b = -47 + 47. Let f be w(b). Is (-15 + 12)/(f/(-373)) prime?", "a": "True" }, { "q": "Let v(q) = q**3 - 6*q**2 - 15*q - 20. Let s be v(14). Suppose 100*r + s = 102*r. Is r composite?", "a": "True" }, { "q": "Let f(c) = 11*c - 27. Let r be f(3). Suppose -p + 4608 + 1133 = 2*v, 2*v = -r. Is p composite?", "a": "True" }, { "q": "Suppose o + 14 = -5*a, -5*o + 3*o - a - 19 = 0. Let b(i) = -i + 11. Let v be b(o). Suppose -v*u - 1298 = -22*u. Is u prime?", "a": "False" }, { "q": "Is ((-2199)/6)/(8/(-944)) composite?", "a": "True" }, { "q": "Let b(h) = -1331*h**3 - 5*h**2 - 6*h - 5. Let d(o) = 1330*o**3 + 4*o**2 + 5*o + 4. Let w(x) = -3*b(x) - 4*d(x). Is w(-1) a prime number?", "a": "True" }, { "q": "Let s(o) = -168*o**3 + 14*o**2 + 18*o + 5. Is s(-7) prime?", "a": "True" }, { "q": "Suppose 0 = 2*t + 2*z + 12 - 96, -2*t + 49 = -5*z. Let f = -4 + 6. Suppose 4*q = f*r - t - 3, 0 = 3*r - 3*q - 45. Is r composite?", "a": "True" }, { "q": "Suppose 0 = -18*t + 816391 + 410687. Is t prime?", "a": "True" }, { "q": "Suppose -c + 2*q + 175519 = 0, -144*q + 702076 = 4*c - 141*q. Is c prime?", "a": "True" }, { "q": "Suppose 2347*l = 2336*l + 185647. Is l composite?", "a": "True" }, { "q": "Suppose 182022 = 4*h - 5*w + 55321, 0 = 5*h - 5*w - 158380. Is h composite?", "a": "True" }, { "q": "Let a(t) = 25*t - 2. Let d be a(-3). Let p = d + 204. Suppose -2*y + 299 = -p. Is y a composite number?", "a": "True" }, { "q": "Let p(c) = c**3 - 30*c**2 - 4*c + 18. Let w be p(30). Let b = w - -2207. Is b composite?", "a": "True" }, { "q": "Suppose 0 = 3*b - 21*g + 23*g - 189151, g + 315243 = 5*b. Is b prime?", "a": "False" }, { "q": "Let w = 18 + -15. Suppose q - w*q + 6 = -4*d, -2*q = -5*d - 2. Is 4/(-22) + 38403/q a composite number?", "a": "False" }, { "q": "Let o(p) = 27*p**3 + p**2 + p + 1. Let u be 45/9 - 9/3. Is o(u) composite?", "a": "False" }, { "q": "Suppose 4 = -3*j - 5, -2*a + 4*j = -94. Suppose 9 = 4*g + a. Let y(v) = -7*v + 29. Is y(g) prime?", "a": "False" }, { "q": "Suppose 2 = -5*m + 17. Let k(a) = -594*a**3 + m*a**2 - a - a + 642*a**3. Is k(1) prime?", "a": "False" }, { "q": "Is (24 - 2 - 21) + 0 + 62206 composite?", "a": "False" }, { "q": "Is 2/(-24) + (-11)/(-132) + 99079 prime?", "a": "True" }, { "q": "Let b(x) = 2*x**2 + 5*x - 2. Let n be b(2). Let t(m) = m**3 - 14*m**2 + 19*m + 14. Let k be t(n). Let u = k - 543. Is u prime?", "a": "False" }, { "q": "Suppose -3*w - x - 4*x = 262, -4 = 2*x. Let h = -47 - w. Suppose h = 4*b - 103. Is b a composite number?", "a": "True" }, { "q": "Let j = -17 + 19. Suppose j*s = -0*s - 2*n, 0 = s - 4*n - 5. Is (-1*s/2)/(6/(-708)) prime?", "a": "True" }, { "q": "Suppose 3*y + 7 = -5, -3*y - 372525 = -3*w. Is w a composite number?", "a": "False" }, { "q": "Suppose 21*q + 34*q = 275165. Is q a composite number?", "a": "False" }, { "q": "Let j(b) = b + 2. Let g = 5 + -5. Let r be j(g). Is (-4)/(-6)*-2*(-489)/r a prime number?", "a": "False" }, { "q": "Let m(h) be the second derivative of -h**5/60 - 13*h**4/24 - 4*h**3/3 + 2*h**2 + 17*h. Let v(s) be the first derivative of m(s). Is v(-10) a prime number?", "a": "False" }, { "q": "Let n = -827 + 826. Let z(d) = 3 + 3 - 3 + 426*d**2 + 2*d. Is z(n) composite?", "a": "True" }, { "q": "Suppose 7*t - 3*t = 16, 4*q - 52 = -t. Let b = q - 10. Suppose b*u + 3845 = 7*u. Is u prime?", "a": "True" }, { "q": "Let v(z) = 0*z**2 + 11*z - z**3 - z**2 + 20 + 0*z**2 - 6*z**2. Let q be v(-8). Let x(r) = -93*r - 1. Is x(q) prime?", "a": "False" }, { "q": "Let w(d) = -d**2 - 350*d + 47. Is w(-14) a prime number?", "a": "True" }, { "q": "Suppose -u + 50503 = 5*f, 77*f - 75*f = 5*u - 252569. Is u prime?", "a": "True" }, { "q": "Let x be 3 - (-1203)/3 - -4. Suppose -8*v + x = -7*v. Suppose 0 = -2*d - f + 711 + v, 5*d = 2*f + 2775. Is d a composite number?", "a": "False" }, { "q": "Suppose -o = -5*a - 20893, 12*a - 41730 = -2*o + 8*a. Is o a composite number?", "a": "False" }, { "q": "Suppose s - 22 = -4*g, g - 5*g - 5*s + 30 = 0. Suppose -4*k = -5*x + 20751, -x + 7*k = g*k - 4149. Is x a composite number?", "a": "True" }, { "q": "Suppose 5*q - 249484 = -2*z, 4*z - 7*q = -9*q + 498952. Is z composite?", "a": "True" }, { "q": "Suppose 16*f - 65356 - 1169700 = 0. Is f prime?", "a": "True" }, { "q": "Let t(m) = 220*m + 39. Suppose -4*j + 9 + 4 = -p, 20 = 4*j. Is t(p) prime?", "a": "True" }, { "q": "Let u = 352954 - 106415. Is u a composite number?", "a": "False" }, { "q": "Let f(k) = 589*k**3 + 10*k**2 + 2*k + 2. Let m(z) = 196*z**3 + 3*z**2 + z + 1. Let a(w) = -2*f(w) + 7*m(w). Is a(3) a prime number?", "a": "False" }, { "q": "Suppose 5*j - 2*v + 6*v = 20779, 2*j - v - 8309 = 0. Suppose -12*q = -5*q + q. Suppose r - 4*l = 1035, 6*r - 2*r - l - j = q. Is r a prime number?", "a": "True" }, { "q": "Let z(l) = 16*l**3 + 5*l**2 + l + 7. Let d(j) = -j**2 + 14*j + 54. Let o be d(17). Is z(o) composite?", "a": "False" }, { "q": "Suppose -23*y + 3140995 - 627911 = 5*y. Is y a composite number?", "a": "False" }, { "q": "Suppose -30*a = -72*a + 437934. Is a a composite number?", "a": "False" }, { "q": "Suppose -5*j = -3*m + 11, -m - 4*m + 11 = -j. Let x be m*((-6)/(-4) + (-12 - -10)). Is 4*x - (0 + -327) prime?", "a": "False" }, { "q": "Suppose -2*t = -3*i - 22 - 5, 2*i + 84 = 5*t. Let j be (805 + 12 + -4)/1. Suppose 3*l - j = -t. Is l a composite number?", "a": "True" }, { "q": "Let j be (-54)/(-4)*10/(-15). Let m be (j/12 - 2/(-8))*2. Is m/((-4)/(-1348))*-1 a composite number?", "a": "False" }, { "q": "Let i(a) = -a + 9. Let n be i(4). Suppose 40 = -4*l + 5*l - 5*j, -4*l + 4*j = -80. Is n/l + (-236)/(-3) a prime number?", "a": "True" }, { "q": "Let v be 6 + (-203)/35 - 74/(-5). Suppose 6*t = 2*o + t + 17, v = 3*t. Suppose -f - u = -3*u - 433, o*f = u + 1711. Is f a prime number?", "a": "False" }, { "q": "Suppose 3*v = 6*v + 3*x - 1629, 0 = 3*x - 9. Let w = 919 - v. Is w a composite number?", "a": "False" }, { "q": "Suppose 0 = b - 23 - 780. Let j = b - 1278. Let u = j + 686. Is u prime?", "a": "True" }, { "q": "Suppose -4520 = -4*x - 4*c, 4*x = -0*c + 3*c + 4506. Suppose 0 = 2*b - 2*l - x, -98 = 3*b + l - 1790. Suppose 4*q = -2*q + b. Is q prime?", "a": "False" }, { "q": "Let u be -3 - 3/3*-17. Suppose -5659 - 2923 = -u*v. Is v composite?", "a": "False" }, { "q": "Let d(t) = 47*t - 15. Let c(p) = -p + 1. Let l be c(-6). Let g be d(l). Suppose -423 = -y + g. Is y composite?", "a": "True" }, { "q": "Let t(g) = 2011*g + 14. Let r be t(10). Suppose -3*y + r = 3*y. Suppose 3*v = 4*b + y, -v + 1111 = 2*b - b. Is v composite?", "a": "True" }, { "q": "Let z(f) be the third derivative of 159*f**4/4 + 23*f**3/6 + 27*f**2. Is z(2) prime?", "a": "True" }, { "q": "Suppose l = -2*n + 16769 - 6168, 5308 = n + 3*l. Is n a composite number?", "a": "True" }, { "q": "Let n(x) = x**3 + 5*x**2 + 3. Let a be n(-5). Suppose 0 = -a*k + 3261 - 540. Is k a prime number?", "a": "True" }, { "q": "Let c = 346 - -381. Let o = 1504 + c. Is o composite?", "a": "True" }, { "q": "Let f be 3 - -4684 - (-1 - 1). Let z = -2510 + f. Is z a prime number?", "a": "True" }, { "q": "Let m(j) = -19348*j - 71. Is m(-4) prime?", "a": "False" }, { "q": "Suppose -25*w + 8*w = 18*w - 2336005. Is w composite?", "a": "True" }, { "q": "Let o(r) = r - 12. Let z be o(16). Let y be z/(-6)*(18 - 9). Is ((-1034)/3)/(4/y) prime?", "a": "False" }, { "q": "Let j = -108 + 104. Let d(v) = -34*v**3 - v**2 - 10*v - 39. Is d(j) a composite number?", "a": "False" }, { "q": "Suppose 15*r + 3*n = 14*r + 22837, -r + 6*n = -22855. Is r a composite number?", "a": "True" }, { "q": "Let m(s) = 126*s + 11. Let v(y) = 126*y + 10. Let a(c) = 3*m(c) - 2*v(c). Let i be a(5). Let w = -386 + i. Is w prime?", "a": "True" }, { "q": "Let s = -6218 - -11181. Is s composite?", "a": "True" }, { "q": "Let m(f) = -21*f**3 + 105*f**2 + 2*f - 13. Let v be m(5). Let g(q) be the first derivative of 8*q**3 + 5*q**2/2 + 10*q - 1. Is g(v) a prime number?", "a": "True" }, { "q": "Let l = 12026 + -649. Let j = l + -6960. Is j a prime number?", "a": "False" }, { "q": "Is 1/(-1*(-7)/(-2550877)*-1) composite?", "a": "False" }, { "q": "Let m(x) = 78*x**2 + 70*x - 461. Is m(-41) a composite number?", "a": "True" }, { "q": "Suppose 2 - 22 = -5*d. Let q be 2/(d/3) + (-4806)/(-12). Suppose 4*p - 2*p = q. Is p a composite number?", "a": "True" }, { "q": "Suppose 4*h + 9 = 5*h + m, -2*h + 30 = -2*m. Is h/42 + 3267/7 a composite number?", "a": "False" }, { "q": "Let f(h) = 528*h**2 - 523*h**2 + 0*h**3 + 15*h - 4*h + h**3. Is f(5) prime?", "a": "False" }, { "q": "Suppose -7*c - t = -4*c - 87308, 0 = -5*c + 5*t + 145480. Is c a prime number?", "a": "True" }, { "q": "Let p = -126620 + 233929. Is p a prime number?", "a": "True" }, { "q": "Let j = 27 - 21. Suppose 0 = -j*p - 0*p + 16914. Is p a composite number?", "a": "False" }, { "q": "Suppose 3*v - 293273 = -5*o, 293281 = -5*o + 10*o + v. Is o composite?", "a": "False" }, { "q": "Let h(y) = -2*y**3 + 2*y**2 + y. Let v be h(-2). Let f be (v - 27)*1/(1/(-1)). Suppose 3*b - 3*k - k - 791 = 0, 5*k = f. Is b a prime number?", "a": "False" }, { "q": "Let f(o) = -2*o**3 + 4*o**2 - 5*o + 3. Let n be f(2). Let d(u) = -7*u**3 - 8*u**2 + 18*u + 6. Is d(n) a composite number?", "a": "False" }, { "q": "Suppose 1 = n + 3*z - 3, 2*n - 24 = -2*z. Suppose 0 = 30*b - n*b - 24262. Is b a prime number?", "a": "True" }, { "q": "Let z(g) = -94*g + 7. Let h be z(-5). Let t = h + 1852. Is t a prime number?", "a": "False" }, { "q": "Is 33658 + -2 + (-5)/((-10)/18) a prime number?", "a": "False" }, { "q": "Let n be 3/(75/20 + -3). Suppose n*j = 5*f + 262 + 233, 354 = 3*j + 2*f. Suppose -4*p - j + 1628 = 0. Is p a prime number?", "a": "False" }, { "q": "Let s be -4 - (4 + -5)*7. Is 4/14 + (s - (-21388)/14) prime?", "a": "True" }, { "q": "Suppose -79*w + 7724224 = -4881727. Is w a prime number?", "a": "True" }, { "q": "Suppose 0 = -q + 4*j + 117923, 2*q - 119886 = -3*j + 115927. Is q a composite number?", "a": "False" }, { "q": "Let q(r) = 6*r**2 - 12*r - 5. Let i be q(9). Let n = 919 - i. Let o = n - 337. Is o a prime number?", "a": "False" }, { "q": "Is 80662 + (-3 + 13 - 13) composite?", "a": "True" }, { "q": "Let l = -108129 + 165616. Is l prime?", "a": "True" }, { "q": "Let k = -82134 + 123563. Is k a prime number?", "a": "False" }, { "q": "Let h be 986*(1 + -1 + 9/18). Suppose z - 28 = h. Is z composite?", "a": "False" }, { "q": "Suppose -108410 = 261*l - 271*l. Is l a composite number?", "a": "True" }, { "q": "Suppose 3*x = -w + 244798, 0 = -3*x + 6*w - w + 244828. Is x a composite number?", "a": "True" }, { "q": "Suppose -19*u + 10*u - 23166 = 0. Is u/(-1) - (-125)/(-25) prime?", "a": "False" }, { "q": "Suppose l - 3*v - 51730 = 0, -34633 = -l - 3*v + 17115. Is l a composite number?", "a": "True" }, { "q": "Let x = 3084 - 3071. Suppose 499975 = q + 4*q. Is 2/x - q/(-91) composite?", "a": "True" }, { "q": "Let y(i) = 41*i**2 - 15*i - 9. Suppose -3*s - 2*o - 19 = 0, 28 = -4*s + 9*o - 13*o. Is y(s) a prime number?", "a": "True" }, { "q": "Let w(y) = -29251*y + 125. Is w(-2) a composite number?", "a": "True" }, { "q": "Suppose 0 = -10*z + 28 + 22. Suppose 6572 = z*b + 3*y, 6*y = 3*y - 3. Is b composite?", "a": "True" }, { "q": "Let b(m) = m**3 + 66*m**2 + 22*m + 569. Is b(-50) composite?", "a": "True" }, { "q": "Let b(z) = -300*z**3 - 7*z**2 + 35*z + 169. Is b(-6) a prime number?", "a": "False" }, { "q": "Let o be (-13)/((-26)/(-176))*-271. Suppose 10*q - 18*q + o = 0. Is q prime?", "a": "False" }, { "q": "Let h = -56 + 5136. Let l = -210 + 210. Suppose -2*s - 6*s + h = l. Is s composite?", "a": "True" }, { "q": "Let q = 1 - -2. Let b be (-6)/9*(q + -2)*-1461. Suppose -b + 3619 = 5*u. Is u prime?", "a": "False" }, { "q": "Is -14*((-2)/5 + 54005/(-50)) a prime number?", "a": "False" }, { "q": "Let t = -88376 - -139965. Is t composite?", "a": "True" }, { "q": "Let q = -195 - -201. Suppose -q*h + 1009 = -16553. Is h prime?", "a": "True" }, { "q": "Let k = 758 + -99. Let r = 2618 - k. Is r a composite number?", "a": "True" }, { "q": "Let d(r) = r**3 + 7*r**2 - 17*r + 9. Let b be d(-9). Suppose -6*q + 10*q - 1620 = b. Let c = 41 + q. Is c a prime number?", "a": "False" }, { "q": "Let j = -54 + -1207. Let l = 2664 + j. Is l a composite number?", "a": "True" }, { "q": "Let z = 51363 + -7474. Is z a prime number?", "a": "True" }, { "q": "Suppose -4*h + 3*q = -13, -4 = q - 5*q. Suppose h*j + 16877 = 11*j. Is j a prime number?", "a": "True" }, { "q": "Let k(x) = -7750*x - 903. Is k(-11) a prime number?", "a": "True" }, { "q": "Let z(j) = -j**2 + 49*j - 17. Let l be z(13). Suppose -4*k + 912 = 4*g, -2*k - g + 0*g + l = 0. Is k composite?", "a": "False" }, { "q": "Let r = 17 - 17. Suppose r = u, -5*u + 126 = 3*g - 63. Is (-694)/((-99)/g + (-3)/7) a composite number?", "a": "False" }, { "q": "Suppose 0 = -4*p + 2*n + 10958, 5*p - 4*n - 13737 = -41. Suppose 260 + p = 3*t - 2*r, -4*r + 4978 = 5*t. Is t prime?", "a": "False" }, { "q": "Suppose 0 = 3*t - 3*p - 86262, 2*t - 56338 = -2*p + 1158. Is t a composite number?", "a": "False" }, { "q": "Let v(z) = 170*z**2 - 18*z + 265. Is v(18) prime?", "a": "True" }, { "q": "Let o(d) = -13*d**3 + 23*d**2 - 79*d - 58. Is o(-21) a composite number?", "a": "False" }, { "q": "Suppose -4*i + 81 = 3*r, 73 = 2*r - 3*i + 2. Suppose 43*z = r*z + 29244. Is z composite?", "a": "False" }, { "q": "Suppose -5026 = 4*z + 4*g - 98802, -4*z = g - 93785. Is z a composite number?", "a": "False" }, { "q": "Let v be (1 - 0)/(10/50) + -1. Suppose -2*s - v*r = -14, 0 = s + s - 3*r. Suppose 2*q = 4*z - 2*z + 984, 2*q - s*z - 983 = 0. Is q a prime number?", "a": "False" }, { "q": "Suppose 2*v - 2*v + 2*v = 0. Suppose -2*h + 14 = -h - 2*f, v = -2*h + 2*f + 28. Suppose -422 = -h*j + 12*j. Is j composite?", "a": "False" }, { "q": "Let v(r) = 2*r - 8. Let c be v(6). Suppose 7210 = -c*q + 45166. Is (q/(-6))/((-3)/6) prime?", "a": "True" }, { "q": "Suppose 7*f - 66983 - 581448 = 0. Is f composite?", "a": "True" }, { "q": "Let u = 99405 - 61083. Is (u/54 - (-2)/(-3))/1 a prime number?", "a": "True" }, { "q": "Suppose 0 = 28*m + 11*m - 275457. Is m prime?", "a": "False" }, { "q": "Suppose -2*v = -12*v + 4230. Suppose 0 = 3*g - 3*f - 221 - 208, 3*g - v = f. Suppose 831 = h + g. Is h composite?", "a": "False" }, { "q": "Let l(q) = -q**2 + 9*q + 2. Let n be l(9). Suppose 0*x + x + 2*b + 2092 = 0, 3*x + n*b = -6276. Is (-3)/7 - x/14 a prime number?", "a": "True" }, { "q": "Suppose 24*b = 57*b - 25*b - 102728. Is b a composite number?", "a": "False" }, { "q": "Let c(d) = -22*d + 64*d + d**3 - 33*d - 41 - 10*d**2. Is c(13) a composite number?", "a": "True" }, { "q": "Suppose -10831*f = -10816*f - 1785. Is f a prime number?", "a": "False" }, { "q": "Let m be 0*(-3)/(-18) + 5. Suppose 0 = m*s + 20, -723 - 1424 = -3*y + 2*s. Is y composite?", "a": "True" }, { "q": "Let l(f) = 2*f - 20. Let a be l(11). Let n(h) = 14 - 20 - 15*h**a - 5*h + 17 + 74*h**2. Is n(-5) prime?", "a": "True" }, { "q": "Suppose 2*b - 3*o - 20 = -7*o, 4*b + 10 = 2*o. Suppose b = -5*s - 2*w + 20195, -2*s - s + 4*w + 12117 = 0. Is s prime?", "a": "False" }, { "q": "Let k(p) = p**2 + 7*p - 26. Let f be k(-10). Suppose 4*v + 22020 = f*r, -2*v = 2*r - 0*r - 11026. Is r composite?", "a": "True" }, { "q": "Let l(s) = -237*s**3 - 6*s**2 - 28*s - 67. Is l(-3) prime?", "a": "False" }, { "q": "Suppose 0 = -3*l - s + 682563, 3*s = 4*l - 549930 - 360154. Is l prime?", "a": "False" }, { "q": "Let i be (304 + 1)*(3 + 11). Suppose -2558 = -3*d - t, 5*d - 15*t + 10*t - i = 0. Is d a composite number?", "a": "False" }, { "q": "Suppose -5*y + 985305 = 53*n - 57*n, -3*n - 15 = 0. Is y composite?", "a": "True" }, { "q": "Let o(s) = 760*s**3 + 34*s**2 - 132*s - 5. Is o(4) a prime number?", "a": "False" }, { "q": "Is ((-303890)/(-4))/((-8)/40*10/(-4)) composite?", "a": "True" }, { "q": "Is ((-34)/(-6))/((-112)/(-2384)*4/84) a composite number?", "a": "True" }, { "q": "Let w be 18664/6 + ((-8)/3)/(-8). Let s = -676 + w. Is s prime?", "a": "False" }, { "q": "Suppose -1504 = -w + 2*y, 0 = -5*w + 2*w + 5*y + 4510. Suppose -w = -3*m + 3201. Is m composite?", "a": "False" }, { "q": "Suppose m - 92109 - 54087 = -3*s, -97447 = -2*s + 5*m. Is s composite?", "a": "False" }, { "q": "Let q(g) be the first derivative of 11*g**3/3 + 2*g**2 - 37*g + 36. Is q(-12) prime?", "a": "True" }, { "q": "Is 2097885/153 + -2 + 8/6 a composite number?", "a": "False" }, { "q": "Let h = 46738 - 21989. Is h a composite number?", "a": "False" }, { "q": "Suppose 2*x = 3*v + 2*v + 25786, -3*x = v + 5164. Is (-2)/(4/v*1) composite?", "a": "False" }, { "q": "Let n(r) = 259*r - 27. Suppose -2*y = 4*k - 12, 5*y + 2*k - 12 = y. Is n(y) prime?", "a": "True" }, { "q": "Suppose 0 = -19*o + 45 + 50. Suppose b - 3*b = -2*h + 6332, -3*h + 9504 = -o*b. Is h a prime number?", "a": "True" }, { "q": "Suppose 4*t - 2*l = 51086, -3*t + 7*t - 51085 = 3*l. Suppose -20*g + 3928 = -t. Is g prime?", "a": "False" }, { "q": "Suppose w = -9 + 7. Let b(k) = -k**2 - 6*k - 3. Let s(l) = 3*l**2 + 17*l + 9. Let h(i) = w*s(i) - 7*b(i). Is h(-14) a composite number?", "a": "True" }, { "q": "Let j be (3 - 5) + -2 - -53. Let s = -53 + j. Is -4 + (-492)/s + -4 prime?", "a": "False" }, { "q": "Suppose 562 = -4*n + 11302. Let d = n - -3910. Suppose -9*s = -14*s + d. Is s a prime number?", "a": "True" }, { "q": "Let h = 448 - -9615. Is h a composite number?", "a": "True" }, { "q": "Suppose -3*j = -4*c - 113973, -2*j - 28078 = 2*c - 104046. Is j a composite number?", "a": "False" }, { "q": "Let u(z) = 2008*z**2 + 6*z + 39. Is u(-11) prime?", "a": "False" }, { "q": "Suppose -3*f - 53 = j - 6*j, 2*f - 8 = 0. Suppose -2*p + 11 - j = 0. Is (-177)/(((-1)/(-2))/(p/2)) a prime number?", "a": "False" }, { "q": "Suppose 8*x - 799100 = -200356. Is x a prime number?", "a": "True" }, { "q": "Suppose -2*c = -3*z + 45079, z - 15025 = -126*c + 128*c. Is z a prime number?", "a": "False" }, { "q": "Let j(k) be the first derivative of 56*k**3 + 3*k**2 - 13*k - 27. Is j(3) a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*x - 5*i - 333485, -4*i + i = -5*x + 333485. Is x prime?", "a": "True" }, { "q": "Let x = 196 - 194. Suppose -d + 3959 = x*g, -4*g + 3*d + 3663 = -4250. Is g a composite number?", "a": "False" }, { "q": "Let x(d) be the third derivative of 0*d + 3/2*d**3 - 15*d**2 + 0 - 11/12*d**4. Is x(-6) a composite number?", "a": "True" }, { "q": "Suppose 2*g - 6*q - 72068 = -9*q, 108117 = 3*g - 3*q. Is g a prime number?", "a": "True" }, { "q": "Suppose -38467 = 5033*b - 5046*b. Is b a prime number?", "a": "False" }, { "q": "Let y(h) = -59*h**3 - 2*h**2 - 27*h - 17. Is y(-6) a composite number?", "a": "True" }, { "q": "Suppose 4*j = -5*h + h + 157584, -3*j - h + 118178 = 0. Is j a prime number?", "a": "False" }, { "q": "Let m(r) = -8*r**3 + 19*r**2 + 85*r - 31. Is m(-7) composite?", "a": "False" }, { "q": "Let d(u) be the third derivative of -u**6/60 - u**5/3 - 4*u**4/3 + 11*u**3/6 - 13*u**2 - 2*u. Is d(-15) a composite number?", "a": "False" }, { "q": "Suppose -6*i = -0*i - 18. Let f be i/((-6)/(-8)) - -648. Let r = -95 + f. Is r a composite number?", "a": "False" }, { "q": "Suppose -3*y = y + 9*y - 1087918. Is y prime?", "a": "False" }, { "q": "Suppose -5*n = -4*p + 5116 + 982, -6 = -3*n. Is p composite?", "a": "True" }, { "q": "Let f = -159 + 156. Is (8 - (-74025)/18)*(-2)/f prime?", "a": "False" }, { "q": "Suppose -720 = -6*b + 30. Suppose 2*k - 4 = k. Is 3/(-2)*(k + (-1 - b)) prime?", "a": "False" }, { "q": "Let i(u) = -2*u**3 - 18*u**2 + 26*u + 311. Is i(-25) a prime number?", "a": "True" }, { "q": "Let u = 119945 + -77478. Is u a prime number?", "a": "True" }, { "q": "Let k = 49 - -128. Suppose 0 = -c + 3*l + 5 + k, -4*c = l - 741. Is c prime?", "a": "False" }, { "q": "Let m = 169 - 170. Is (4946*(-1)/m)/(8 - 6) composite?", "a": "False" }, { "q": "Is (((-119291)/(-2))/(-1))/(0 + 13/(-26)) composite?", "a": "False" }, { "q": "Let f(k) be the first derivative of 53*k**2/2 - 25*k + 51. Is f(6) a prime number?", "a": "True" }, { "q": "Let l = -406782 - -580979. Is l a prime number?", "a": "True" }, { "q": "Suppose -36*c + 5187 = m - 37*c, 4*m - 20768 = -c. Is m composite?", "a": "True" }, { "q": "Suppose v = 3*c - 10706, 0 = -v - 3*c - 7681 - 3007. Let n = -5694 - v. Is n prime?", "a": "True" }, { "q": "Suppose u - 2*r = 1749, -3*u = 4*r - 6694 + 1427. Let o = 3108 - u. Suppose 5*x + b - 1347 = 0, -4*b + o = 5*x + b. Is x a composite number?", "a": "False" }, { "q": "Suppose -214*r = -131*r - 6509441. Is r a composite number?", "a": "False" }, { "q": "Let t(q) = 2 + 110*q - 182*q + 2 - 97*q - 136*q. Let n = -5 - -2. Is t(n) a composite number?", "a": "False" }, { "q": "Let p = 819 - -22299. Is p/4 + 4/(-8) a composite number?", "a": "False" }, { "q": "Let y = 142 - 148. Let k(x) = -4*x**3 + 11*x**2 - x - 7. Is k(y) composite?", "a": "False" }, { "q": "Let v(t) = -3*t**2 - 178*t + 51. Let i be v(-64). Suppose -p = -a + 2106, 5*a - 3*a + 8412 = -4*p. Let r = i - p. Is r a prime number?", "a": "True" }, { "q": "Let b(f) be the second derivative of f**7/840 + 7*f**6/360 - f**5/24 + f**4/8 + f**3 - 12*f. Let c(m) be the second derivative of b(m). Is c(-6) composite?", "a": "True" }, { "q": "Let k = -4362 - -2721. Let u = k + 2542. Is u a prime number?", "a": "False" }, { "q": "Let a = 12259 + -1494. Is a a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*y - 5*q - 40, 2*q - 12 = -4*y + 8. Is 105/(-28)*(-13544)/y a composite number?", "a": "True" }, { "q": "Let v be (-6 + (1 + 2 - 4))*3. Let f = -17 - v. Is (-2)/(-6) - (f + (-4834)/6) composite?", "a": "True" }, { "q": "Suppose 5*g = -17 - 8. Let i(u) = 0 - 12*u + 1 + 0 - 6*u**2 + 7*u - 3*u**3. Is i(g) a prime number?", "a": "True" }, { "q": "Let p be (-4 - -6) + ((-18)/3)/(-3). Suppose -3*u - 1 = -p*u. Is 1344 + u/((-2)/2 - -2) a prime number?", "a": "False" }, { "q": "Let s = 3720 + -5541. Is 2 - (2 + (s - 2)) prime?", "a": "True" }, { "q": "Suppose -3*m - 5*v = 2*m - 5, 5 = -5*v. Let q be (-39 - 1)/(-4) - m. Suppose 2300 + 380 = q*o. Is o composite?", "a": "True" }, { "q": "Let p = -87 - -87. Suppose p = -3*o + 26647 - 2470. Is o a prime number?", "a": "True" }, { "q": "Let j(h) = 1043*h + 15. Is j(22) a composite number?", "a": "False" }, { "q": "Let a(w) = 13*w**3 - 11*w**2 - 4*w + 1. Let s = 96 - 90. Is a(s) prime?", "a": "True" }, { "q": "Let v be 3612 + 2/(8/(-12)). Suppose w = -1, -5*c + 5*w + v = -6166. Let o = c - 839. Is o composite?", "a": "True" }, { "q": "Let u = -89186 - -172093. Is u a composite number?", "a": "True" }, { "q": "Suppose 0 = -3*v + 6, 0 = -m - 0*m + 5*v - 37. Let g = m - -23. Is (g + 30/8)*-1228 a composite number?", "a": "False" }, { "q": "Suppose 18*u + 44 = 7*u. Is 1/(-4) - (20245/u - -2) prime?", "a": "True" }, { "q": "Is 2/32 - (-16647381)/944 a prime number?", "a": "False" }, { "q": "Let c(s) = -3*s + 209. Suppose -4*d = -2*j - 3 - 9, 0 = 3*d - 9. Is c(j) prime?", "a": "False" }, { "q": "Is -1*-74127*(-16)/(-48) prime?", "a": "True" }, { "q": "Suppose -2*d + 58 = 2*x + 2*d, 33 = 2*x - d. Suppose x*p - 39662 = 5*p. Is p a prime number?", "a": "True" }, { "q": "Suppose 0 = -71*d + 70*d + 19311. Suppose 7078 - d = -13*k. Is k a prime number?", "a": "True" }, { "q": "Let m(k) = -4*k**2 + 24*k + 1. Let g be m(6). Is (5 - g) + 3288 + 7 prime?", "a": "True" }, { "q": "Let v be ((-261486)/(-15))/2 - (-3)/(-15). Suppose 2*o - v = -2*o. Is o composite?", "a": "False" }, { "q": "Let w(c) = 558*c - 45. Let p be w(-12). Let t = p - -11572. Is t a composite number?", "a": "False" }, { "q": "Let l(f) = -6*f**2 + 11*f - 9. Let p(k) = 61 - 7 + 31*k**2 - 55*k - 10. Let s(n) = -11*l(n) - 2*p(n). Is s(8) a composite number?", "a": "False" }, { "q": "Let t(a) = 1. Let q(b) = 21*b - 15. Let n(d) = -q(d) - 6*t(d). Suppose 0 = m - 0*m + 8. Is n(m) composite?", "a": "True" }, { "q": "Suppose b - 2*y + 176 - 9 = 0, 5*y - 339 = 2*b. Let f = b + 358. Is f a composite number?", "a": "True" }, { "q": "Suppose -18*y + 5304 = 318. Suppose 0 = f + 71 - y. Is f composite?", "a": "True" }, { "q": "Suppose 0 = 82*p - 80*p - 6. Suppose p*d - 10905 = 4*x, -1235 = 5*d - 3*x - 19410. Is d a prime number?", "a": "False" }, { "q": "Let a(d) = -4*d**2 + 76*d - 70. Let s be a(18). Let t(g) = 35*g**2 + 3*g + 3. Let x be t(-3). Is (s + (2 - 3))*(x - 2) composite?", "a": "False" }, { "q": "Let h be (-1)/(2 + 7/(-3)). Suppose j = -h*j - 2*c + 28, j - 3*c + 7 = 0. Suppose 0 = -u - 2*u + 4*f + 1683, u - j*f = 572. Is u prime?", "a": "True" }, { "q": "Let h = -49 - -51. Suppose -3*r + 8*r - 5*z = 15245, 5*z + 6086 = h*r. Is r composite?", "a": "True" }, { "q": "Suppose 4*y + 9*y - 71253 = 0. Suppose 1266 + y = 13*o. Is o a composite number?", "a": "True" }, { "q": "Let m(g) = 1914*g**2 + 41*g + 89. Is m(-2) prime?", "a": "False" }, { "q": "Suppose -2*c = 2*l - 93840, 2*c + 15*l = 17*l + 93836. Is c a composite number?", "a": "False" }, { "q": "Suppose -8*n + 5*n = 36. Is n/42 + 25572/28 a composite number?", "a": "True" }, { "q": "Let r(a) = 7843*a + 284. Is r(5) prime?", "a": "True" }, { "q": "Suppose 2 + 1 = -3*v, 2*u - 300 = 4*v. Let t be u + -1 - (-18 + 22). Let p = 210 - t. Is p a prime number?", "a": "True" }, { "q": "Let t = -17 - -13. Is 1/5 + (-38696)/(-20) + t a composite number?", "a": "False" }, { "q": "Let j = 7110 + 68287. Is j composite?", "a": "True" }, { "q": "Let b(a) = a**2 - 14*a + 9. Let w be 5/(-2) + (246/12 - -4). Is b(w) a prime number?", "a": "False" }, { "q": "Suppose 7*w = 12*w - 240265. Suppose -5*h + w + 20692 = 0. Is h composite?", "a": "True" }, { "q": "Let r(l) = -l**2 - 5*l + 9. Let m = -37 + 31. Let y be r(m). Suppose -3*p + 1352 = 4*j - 722, -y*j = 5*p - 1561. Is j a prime number?", "a": "False" }, { "q": "Let i = 19081 - 8264. Is i a composite number?", "a": "True" }, { "q": "Suppose -31*y + 25680 = -5165. Suppose -w + 907 + 814 = 0. Suppose w = 4*l - y. Is l composite?", "a": "True" }, { "q": "Suppose 2*u + 2*u = 0. Let b be ((u/5)/3)/(1/(-1)). Suppose b = -5*i + 9*i - 388. Is i prime?", "a": "True" }, { "q": "Let n be (22/(-33))/((-4)/(-6)). Is (n + 2472/(-16))/(2/(-4)) a composite number?", "a": "False" }, { "q": "Is -14667*2*9/(8 - 62) prime?", "a": "True" }, { "q": "Suppose 0 = 3*u - 4*g - 25, 0*u + 10 = -2*u - 4*g. Let q(l) = 459*l**2 + 2*l - 11. Is q(u) composite?", "a": "True" }, { "q": "Suppose k = 5*l - 31, -5*k + 4*l = -l + 95. Let p(f) = 18*f**2 - 15*f - 19. Is p(k) a prime number?", "a": "False" }, { "q": "Let c(r) = -3*r**3 + r**2 - 2. Let w be c(1). Is 9 - (7 - 1) - 592*w composite?", "a": "False" }, { "q": "Let x be (3/(9/(-30)))/2. Let r(b) = 66*b**2 + 14*b - 6. Is r(x) a prime number?", "a": "False" }, { "q": "Suppose -384*b + m = -385*b + 198145, b - 5*m - 198133 = 0. Is b composite?", "a": "True" }, { "q": "Let c = 241651 - 146778. Is c a composite number?", "a": "False" }, { "q": "Let b = -31 - 4. Let n = -35 - b. Suppose 0 = -2*o - n*o + 154. Is o a prime number?", "a": "False" }, { "q": "Let w(z) = -435*z - 24. Let f be w(-3). Let b = f + -646. Is b prime?", "a": "False" }, { "q": "Let d = -699 - -1000. Let u be d - -2*(-1)/(-2). Suppose 5*x + 37 = u. Is x composite?", "a": "False" }, { "q": "Let q(b) = -4*b**3 - 10*b**2 - 136*b - 5. Is q(-27) composite?", "a": "False" }, { "q": "Let o(k) = 930*k - 1549. Is o(13) composite?", "a": "True" }, { "q": "Suppose 6 = 2*o, 73684 = 3*q - 3*o + 13990. Is q composite?", "a": "True" }, { "q": "Let u be -1*333*2*-1. Suppose -9*j + 25 = 25. Suppose 0 = -4*q + 3*x + 670, -x - u = -4*q - j*x. Is q a prime number?", "a": "False" }, { "q": "Suppose 137762 = 2*p + 4*d, 35475 = p + 5*d - 33409. Is p prime?", "a": "True" }, { "q": "Suppose -4*t + n = -1065606, -223*n = -t - 221*n + 266405. Is t a composite number?", "a": "False" }, { "q": "Let z = -11586 - -51929. Is z composite?", "a": "False" }, { "q": "Let t(p) = -10*p**3 - 15*p**2 - 52*p + 47. Is t(-13) a composite number?", "a": "True" }, { "q": "Let z be 89 + 2*2*(-6)/12. Let g = z + 98. Let t = g - 72. Is t composite?", "a": "False" }, { "q": "Suppose 0 = -o - 5*z + 15434, -7922 = -o + 4*z + 7521. Is o a composite number?", "a": "False" }, { "q": "Let j(v) = 3307*v - 1352. Is j(7) a composite number?", "a": "True" }, { "q": "Suppose 0 = 3*y + 5*c + 7 + 3, -2*y + 4 = -2*c. Is y - (5 + -2637 + -6) a prime number?", "a": "False" }, { "q": "Suppose 2*h + h = 1917. Suppose f = -6 + 14. Let t = h + f. Is t a prime number?", "a": "True" }, { "q": "Let q be (-4)/26 - -7006*(-18)/(-52). Suppose -l + 6*l = q. Is l a composite number?", "a": "True" }, { "q": "Let l(s) = 314*s**2 + 120*s - 1. Let j be l(-8). Suppose j = 6*v - v - 4*a, -2*v + 7677 = 3*a. Is v prime?", "a": "False" }, { "q": "Let v = -27744 + 47761. Is v prime?", "a": "False" }, { "q": "Let j(k) = -62*k - 625. Is j(-52) a composite number?", "a": "True" }, { "q": "Let u(b) be the third derivative of b**6/120 + b**5/4 + b**4/2 - b**2. Let c be u(-14). Is 23/7 + -3 + 18164/c composite?", "a": "True" }, { "q": "Suppose -8*m + 20*m + 864 = 0. Is (m/48)/((-6)/1204) a composite number?", "a": "True" }, { "q": "Let w be (-1)/(-1) + -2108 + 9 + -5. Let b = 3492 + w. Is b a composite number?", "a": "True" }, { "q": "Suppose 1166*h = 1164*h + q + 876958, -3*h = -3*q - 1315437. Is h a prime number?", "a": "True" }, { "q": "Let m(v) = -2 + 4 + 0 - 301*v. Let t = 341 + -342. Is m(t) a prime number?", "a": "False" }, { "q": "Let v(m) = 16*m**2 + 17*m - 172. Is v(33) a prime number?", "a": "False" }, { "q": "Suppose -97*p = -238*p + 723189. Is p a prime number?", "a": "False" }, { "q": "Let c(w) = -2*w**3 + 2*w + 2. Suppose -5*s + s = 0. Let l be c(s). Suppose 3*h + l*u = 1183, -u - 312 - 1280 = -4*h. Is h prime?", "a": "True" }, { "q": "Suppose -j - 5*z + 196 = 0, 0 = 8*j - 9*j - 2*z + 202. Suppose 3*h - 10 + 1 = 0. Is 2 + h/(3/j) + -3 prime?", "a": "False" }, { "q": "Suppose -346*j + 343*j = 11511. Let n = -2438 - j. Is n a composite number?", "a": "False" }, { "q": "Let r be 191/9 + (-36)/162. Let f = r - 24. Is (f/(-6))/(0 - 1/(-166)) a prime number?", "a": "True" }, { "q": "Suppose 78*t = -9*t + 5977857. Is t composite?", "a": "False" }, { "q": "Let p(r) = -5*r - 6. Let t be (-5)/1 - (3 - 6). Let g be p(t). Suppose 4*k - 61 - 1613 = -5*q, g*q - 3*k = 1333. Is q a prime number?", "a": "False" }, { "q": "Let z = -16 + 20. Suppose 4272 = z*u + 12*u. Is u prime?", "a": "False" }, { "q": "Let z be (-3 - (-36)/14) + 6/14. Suppose 10410 = -z*j + 5*j. Suppose -3*l = -9*l + j. Is l composite?", "a": "False" }, { "q": "Is (-1)/(-5)*(210265 + 23 + 17) composite?", "a": "False" }, { "q": "Suppose -1239468 = 40*b - 85*b + 41*b. Is b a composite number?", "a": "True" }, { "q": "Let k(g) = -24*g - 47. Suppose 8 = -q + 10. Suppose h = -q*p + 4*h - 53, 5*p + 113 = h. Is k(p) a prime number?", "a": "False" }, { "q": "Suppose 1834 = m - 3*n, -2*m = -4*m + 2*n + 3676. Suppose w + 0*w + 695 = 0. Let s = m + w. Is s prime?", "a": "False" }, { "q": "Let v(w) = 1067*w**2 + 5*w - 3. Let g be v(2). Suppose s + 2*s + g = 0. Let h = s - -2368. Is h a composite number?", "a": "True" }, { "q": "Let j = 5 - -49. Suppose 0 = 47*r - j*r + 15253. Is r a prime number?", "a": "True" }, { "q": "Let j be ((-2132)/(-12))/(1/3). Let f = j - 120. Suppose -3*m - 5*u = -1666, -2*m - 4*u + f = -697. Is m composite?", "a": "False" }, { "q": "Suppose 224*r - 259*r = -1594402 - 853603. Is r a prime number?", "a": "False" }, { "q": "Let s = -71 - -74. Suppose 4*l = -a + 1649, s - 18 = 5*a. Is l composite?", "a": "True" }, { "q": "Let n = 5 + -3. Suppose b - 4*u - 496 = -0*b, -2*b + n*u + 968 = 0. Let f = 1197 - b. Is f a composite number?", "a": "True" }, { "q": "Let g = -7077 - -40618. Is g composite?", "a": "True" }, { "q": "Let z = 6937 - 293. Suppose 2883 + z = 7*w. Is w a prime number?", "a": "True" }, { "q": "Suppose 11*s - 144243 = 5838 + 84956. Is s a composite number?", "a": "True" }, { "q": "Let b = 34616 + -21045. Is b composite?", "a": "True" }, { "q": "Let q = -4488 + 53037. Is q a composite number?", "a": "True" }, { "q": "Let b(y) = -268*y**3 - 2*y**2 - 4*y - 2. Let m be b(-3). Suppose 5*d + m = a + 4*d, d + 5 = 0. Is a composite?", "a": "True" }, { "q": "Let f(a) be the second derivative of -35*a**3/3 + 85*a**2/2 + 7*a + 3. Is f(-25) prime?", "a": "False" }, { "q": "Let b be (-33234)/4 + 10/4. Let d = b + 15039. Is d a composite number?", "a": "False" }, { "q": "Let a(b) = -188*b**3 - 16*b**2 - 7*b + 200. Is a(-11) a composite number?", "a": "False" }, { "q": "Let v(j) = -22*j**3 - 4*j**2 + 25. Let b(f) = 2*f**3 - 23*f**2 + 9*f + 16. Let m be b(11). Is v(m) a composite number?", "a": "True" }, { "q": "Let r = -90137 + 164268. Is r prime?", "a": "True" }, { "q": "Let p be (234/4)/(-9 + (-1002)/(-112)). Let u = p - -1703. Is u prime?", "a": "False" }, { "q": "Let w = 230 + -141. Suppose w = s - 322. Suppose 2*p + 13 = s. Is p a prime number?", "a": "True" }, { "q": "Let v = 81999 - -4286. Is v a composite number?", "a": "True" }, { "q": "Let i be 14/56 - 70/(-8). Suppose 8 - 44 = -i*t. Suppose -3*m = -h - 525 - 45, 2*m + t*h - 394 = 0. Is m prime?", "a": "True" }, { "q": "Let c(j) = -j**2 - 5*j + 15. Let x be c(-7). Let d be (1472/(-80))/(x - 7/5). Let w = -8 + d. Is w composite?", "a": "True" }, { "q": "Suppose 6*t = 2*t + 1496. Suppose -448 = -6*w + t. Suppose -5*b + w = 22. Is b composite?", "a": "False" }, { "q": "Let c(j) = 44*j**2 - j - 1. Let u(v) = 23*v**2 - v. Let r(y) = -3*c(y) + 7*u(y). Is r(4) composite?", "a": "True" }, { "q": "Suppose 5*t = m + 17, 0 = -0*m + m + 2*t - 11. Suppose m*j - 6*j - 6 = 0. Let x(c) = -37*c**3 + 2*c**2 - c + 1. Is x(j) composite?", "a": "False" }, { "q": "Suppose -5*l - 2*d = 1138 - 4525, 4*l + 2*d = 2710. Suppose 2*w - 657 = l. Is w composite?", "a": "True" }, { "q": "Suppose 2 = -3*d + 11. Suppose 0 = d*s - 3*f - 2420 - 3724, 5*s = -5*f + 10210. Is s prime?", "a": "False" }, { "q": "Let q(p) be the third derivative of p**4/24 + p**3/6 + 9*p**2. Let f be q(4). Suppose f*r = 7*r - 854. Is r prime?", "a": "False" }, { "q": "Suppose 85*c - 5191309 = -70*c + 7490326. Is c a prime number?", "a": "True" }, { "q": "Let b(l) = -3366*l**3 + 2*l**2 + 3*l + 1. Let k be b(-1). Is (1 - 0)*(k - 7) prime?", "a": "True" }, { "q": "Let v = 37029 - 17482. Is v a prime number?", "a": "False" }, { "q": "Let j = 106893 + -12814. Is j prime?", "a": "True" }, { "q": "Let n(x) = x**3 - 24*x**2 - 25*x - 9. Let s be n(28). Let z = 3496 - s. Is z a prime number?", "a": "True" }, { "q": "Suppose 5*u + 32*n - 27*n - 227085 = 0, 227053 = 5*u - 3*n. Is u a prime number?", "a": "True" }, { "q": "Suppose 56*k + 24*k - 5439745 = -5*k. Is k a composite number?", "a": "False" }, { "q": "Let v be -4*35/(-30) - (-2)/(-3). Suppose 38 = q - 4*o, v*q - 105 = -q + 3*o. Suppose 70 - q = 4*i. Is i a prime number?", "a": "True" }, { "q": "Suppose -5*z + 3*g + 35 = 2*g, -2*z = 4*g + 8. Let n(b) = -8 + b**2 + 3*b**3 - 114*b + 244*b - 134*b - 6*b**2 - 5. Is n(z) prime?", "a": "True" }, { "q": "Let m(a) = 538*a**2 + 32*a + 37. Is m(-9) composite?", "a": "True" }, { "q": "Suppose x - 2*l - 1 = -35, -x - 36 = -4*l. Is 5489 + x/12*(-6)/(-4) a composite number?", "a": "True" }, { "q": "Let o(r) = -150*r - 881. Is o(-22) prime?", "a": "False" }, { "q": "Let s(m) = 10602*m + 733. Is s(3) composite?", "a": "True" }, { "q": "Let x(n) = 29*n**2 - 34 + 147*n**2 - n + 3*n + 33. Suppose 0 = -5*m + 2*m + 3. Is x(m) a composite number?", "a": "True" }, { "q": "Suppose 4*g = -5*s + 63445, -3*g - s = 3*s - 47584. Suppose -g = 20*y - 49720. Is y prime?", "a": "True" }, { "q": "Let c(l) = 2 - 5*l**3 - 7*l**2 + 4*l + 7*l**3 - 1. Suppose -12 = -4*f + 2*h, -f + 2*h = 2*f - 8. Is c(f) prime?", "a": "False" }, { "q": "Let g = -61 + 60. Let z = 31 + -37. Is g*2 - (-230 - (1 + z)) composite?", "a": "False" }, { "q": "Suppose 4 = -k + 8. Suppose k*s = -s + 95. Let b = 7 + s. Is b a prime number?", "a": "False" }, { "q": "Suppose 0 = 2*n + 5*m + 369, n + 4*m + 187 = -m. Let p = n - -369. Let h = p + 36. Is h composite?", "a": "False" }, { "q": "Let u = -10082 - -20293. Is u a composite number?", "a": "False" }, { "q": "Let i = 74 - 43. Suppose -d = -i - 205. Suppose d = 3*b + b. Is b a prime number?", "a": "True" }, { "q": "Let r = -4 - -3. Suppose -145 + 1039 = 2*g. Is -2 + r + g + 7 prime?", "a": "False" }, { "q": "Let k(v) = -60*v**3 + 15*v**2 - 34*v - 682. Is k(-15) composite?", "a": "False" }, { "q": "Let n = 1782 + -2650. Let y = -311 - n. Suppose 0 = -i + 4*v - 19 + 126, -5*i - 2*v = -y. Is i a composite number?", "a": "True" }, { "q": "Let j = 162324 + -32261. Is j composite?", "a": "True" }, { "q": "Let q(p) = 4*p - 19. Let l = -32 + 36. Let f be q(l). Is (13 - 14)/(1/f) a composite number?", "a": "False" }, { "q": "Is (56/8 - 57470)*(-1)/(-1)*-1 a prime number?", "a": "False" }, { "q": "Suppose -5*r + 85379 = 2*f, 0*f - 68323 = -4*r + 5*f. Is r a composite number?", "a": "False" }, { "q": "Let h = -1079 + 51. Let k = 159 - h. Is k composite?", "a": "False" }, { "q": "Let s(h) = 21029*h + 1003. Is s(6) prime?", "a": "False" }, { "q": "Let v = -326 + 223. Let k be ((-30)/(-35))/((-1)/(-126)). Let w = k - v. Is w a prime number?", "a": "True" }, { "q": "Let u = -848 + 1755. Let p = -498 + u. Is p a prime number?", "a": "True" }, { "q": "Is ((-6)/15 + 52/30)/(298/5023833) prime?", "a": "False" }, { "q": "Let w = 142975 - 66378. Is w a prime number?", "a": "True" }, { "q": "Let k = -6 - -19. Suppose k*r - 10*r = 471264. Is (-2)/(-18) - r/(-144) composite?", "a": "False" }, { "q": "Suppose 60*n = 62*n. Suppose r - 287 = 2*p, n = -7*r + 4*r - 5*p + 894. Is r a composite number?", "a": "False" }, { "q": "Let f be (-28 - ((1 - -3) + -1))*-1. Suppose 25*i + 7446 = f*i. Is i a composite number?", "a": "True" }, { "q": "Let z(u) = 77*u + 11. Let g be 7 + (3/(-4) - (-33)/12). Let a be z(g). Suppose -o + 242 = -2*v + 19, -v = 3*o - a. Is o prime?", "a": "True" }, { "q": "Let p(o) be the third derivative of -o**5/60 - 71*o**4/24 - 13*o**3/6 + 10*o**2 + 3. Is p(-35) a prime number?", "a": "False" }, { "q": "Let m be ((-2)/3 + -1)*-9. Suppose 2*f - 5*c = -m, -2*c - 6 = -4*f + 4. Suppose 4*r = 5*l + 78, -r + 2*r = -f*l + 32. Is r composite?", "a": "True" }, { "q": "Let w = 11 + -6. Let h = 781 + 703. Suppose 4*n = w*a + h, -2*n + a + 742 = -0*n. Is n prime?", "a": "False" }, { "q": "Suppose -28573 = -3*m + 4*s, -2*m = -8*s + 6*s - 19048. Is m prime?", "a": "False" }, { "q": "Suppose 3*h - 16 = -h. Let b = h - 7. Is -1 - -57 - (-2 - b) prime?", "a": "False" }, { "q": "Let l(y) = -y**2 - 14*y - 11. Let f be l(-13). Suppose 0 = 3*a + 4*p - 5, -a - f*p + 6*p + 7 = 0. Is (-5)/((-10)/236) - a a composite number?", "a": "True" }, { "q": "Is (-6)/((-288)/(-171372))*-4 a prime number?", "a": "True" }, { "q": "Suppose 5*v = -0*v + 7875. Suppose -c = 8*c - v. Let n = c - 104. Is n composite?", "a": "False" }, { "q": "Suppose -13648 - 52102 = -10*z. Let w = z - -3170. Is w a prime number?", "a": "False" }, { "q": "Suppose 5*n + 22*n - 235720 = -13*n. Is n a composite number?", "a": "True" }, { "q": "Suppose 0 = 2*a + h - 136209, -2*a = 5*h - 187208 + 50979. Is a/6 - (32/12)/(-4) a prime number?", "a": "True" }, { "q": "Suppose -14*n = -11*n + 48582. Let k = 25741 + n. Is k a prime number?", "a": "True" }, { "q": "Suppose -j = -b + 43907, 0 = 2*j + 3*j + 20. Is b composite?", "a": "True" }, { "q": "Let i = 110 - 64. Let b = i + -34. Is (4 - 1)*2348/b composite?", "a": "False" }, { "q": "Let p(j) = 11*j**2 + 3*j - 2. Let v be p(1). Is (102/v)/((-2)/(-428)) composite?", "a": "True" }, { "q": "Is 127638 + (-49)/98 + (-1)/2 a prime number?", "a": "True" }, { "q": "Suppose -19*s - 60 = -31*s. Suppose s*h + 100 - 2330 = 0. Is h prime?", "a": "False" }, { "q": "Suppose -f = 3*x - 233, 2*x - 5*f - 166 = -39. Let o = 369 - x. Is o prime?", "a": "True" }, { "q": "Let h(w) = -w**2 - 7*w. Let v be h(-6). Let d(l) = 2*l**2 - 12*l - 2. Let g be d(v). Is (-15)/(2/(-4) + g/4) composite?", "a": "True" }, { "q": "Let p be (-10 + (11 - 4))/(2/(-73334)). Suppose 13*a + 11084 = p. Is a a prime number?", "a": "False" }, { "q": "Is ((-5)/10)/(6378729/(-911246) + 7) prime?", "a": "True" }, { "q": "Suppose -159*y - 79819 = -178*y. Is y a prime number?", "a": "True" }, { "q": "Suppose 2*q + r = 93987 + 43026, 5*q - 342531 = -4*r. Is q a composite number?", "a": "False" }, { "q": "Let h = 2607 + -1850. Suppose h = 6*m - 1481. Is m composite?", "a": "False" }, { "q": "Let b(d) = 225*d**3 - 7*d**2 - 12*d + 17. Is b(10) prime?", "a": "True" }, { "q": "Let l(o) be the third derivative of o**6/20 + o**5/12 + 25*o**4/24 - 17*o**3/6 + 38*o**2. Is l(10) a prime number?", "a": "True" }, { "q": "Let o(h) = -1116*h**3 + 3*h**2 + 2*h - 5. Let n be o(-3). Let d = n - 13815. Is d prime?", "a": "True" }, { "q": "Let d be 26/6 - 18/(-27). Suppose -d*g + 21 = -4. Suppose g*s - u - 7320 = 0, 4*s + 0*s - 2*u = 5850. Is s a prime number?", "a": "False" }, { "q": "Let y(c) = -9*c**3 + 3*c**2 - 48*c - 74. Is y(-9) a composite number?", "a": "True" }, { "q": "Is (11498/(-8))/((-16)/(-960)*-5) prime?", "a": "False" }, { "q": "Suppose -1418 = 2*l + 4*x, -5*l + 3*x - 3581 = x. Let f = l - -1220. Is f composite?", "a": "True" }, { "q": "Suppose 0 = -3*h - 3*m - 165, -m - 89 = 2*h + 26. Let z be h/100 + 116/10. Let y = z + 318. Is y a composite number?", "a": "True" }, { "q": "Let z be 35/(-105) - (7/(-3) + -1). Suppose 4*m + m = -z*n + 27664, m + 5*n = 5546. Is m prime?", "a": "True" }, { "q": "Suppose -158*s + 4 = -156*s. Let p(y) = 191*y**3 + 3*y**2 + 4*y - 5. Is p(s) composite?", "a": "False" }, { "q": "Let i = 77 - 74. Suppose i*v = 5*b - 1523, 3*b - 3*v - 732 = 177. Is b prime?", "a": "True" }, { "q": "Let t(b) = 837*b**2 + 10*b - 82. Is t(5) a prime number?", "a": "False" }, { "q": "Suppose 82*t - 583675 = 57*t. Is t prime?", "a": "False" }, { "q": "Suppose r + 4 = 0, -i + 363844 = 3*i - 4*r. Is i a composite number?", "a": "True" }, { "q": "Let z = -98 - -96. Is ((-43)/(-215))/(z/(-1990)) prime?", "a": "True" }, { "q": "Let p = -3332 - -4892. Suppose -p = -3*g - 549. Let j = 1082 - g. Is j prime?", "a": "False" }, { "q": "Suppose m - 13 + 14 = 0. Is m/((-3)/160) - 21/63 a composite number?", "a": "False" }, { "q": "Let t(z) = -7*z**3 + 12*z**2 + 13*z - 2. Let m be t(-11). Suppose 10*v - m = 2*v. Suppose 4*n - v = -a, 2*a - 5*a = -3*n + 981. Is n prime?", "a": "True" }, { "q": "Suppose -4*l + 5*s + 23 = 0, -4 = -4*s - 16. Suppose -n + 4385 = 6*o - 3*o, l*o - 4387 = -n. Is n a prime number?", "a": "True" }, { "q": "Suppose 48*a - 1329556 = 292412. Is a prime?", "a": "True" }, { "q": "Suppose -w - 5 = 5*j, 10 = 4*w + j + 4*j. Suppose -3*i + w*i - 1814 = 0. Is i a prime number?", "a": "True" }, { "q": "Suppose 3*j - 1 = 4*j, 0 = 3*n + 5*j - 4. Let d(z) = -z**2 - 5*z - 3. Let b be d(-2). Is (n + b/((-6)/(-31)))*2 composite?", "a": "False" }, { "q": "Suppose 0 = -5*a - 4*f + 31, 2*a - 6*f + f = 19. Let o(w) be the second derivative of 158*w**3/3 + 3*w**2/2 + w. Is o(a) composite?", "a": "True" }, { "q": "Let h(d) = 2*d**2 + 33*d + 73. Let t be h(26). Let z = 4232 - t. Is z prime?", "a": "True" }, { "q": "Let h(y) = 48*y**2 + 12*y - 31. Suppose 10 = 4*i + 22, -3*u + 9 = 2*i. Is h(u) composite?", "a": "False" }, { "q": "Let x = 1678 + -2232. Let h = 2345 - 1400. Let g = h + x. Is g prime?", "a": "False" }, { "q": "Suppose -122*l - 40*l + 1200582 = 0. Is l a prime number?", "a": "True" }, { "q": "Suppose -26 = -5*j - 4*d + 9, -8 = 4*j - 4*d. Let s(x) = 6*x - 5. Let y be s(j). Is 29925/247 + (1 - 15/y) prime?", "a": "False" }, { "q": "Suppose -4 = 3*n - 22. Is (((-165008)/n)/4)/((-16)/24) a prime number?", "a": "True" }, { "q": "Let y = -36 + 34. Let g(o) = -o**3 - o**2 + o - 2. Let z be g(y). Suppose 4*p + z*p = 2748. Is p a prime number?", "a": "False" }, { "q": "Is (-19)/((-190)/269620) - -1 prime?", "a": "False" }, { "q": "Let z(n) = n**3 + 20*n**2 + 3*n + 15. Let r(j) = -j**2 + 3*j + 9. Let u be r(-4). Let q be z(u). Suppose 2*y - 2025 = -q. Is y a composite number?", "a": "False" }, { "q": "Suppose -9*w + w = -14368. Suppose 2*z + 6*l = 11*l + 3627, -l + w = z. Is z a prime number?", "a": "True" }, { "q": "Suppose 2*b = -11*g + 9*g + 32, 27 = 2*g - 3*b. Suppose -g = 3*i, 0 = -c - i + 4*i + 5462. Is c a prime number?", "a": "False" }, { "q": "Suppose -1317024 = -4*j + 4*y, 6*y + 1 = 5*y. Is j prime?", "a": "False" }, { "q": "Let h(w) = 5*w - 25. Let m be h(5). Suppose -6*a + 8030 + 2116 = m. Is a prime?", "a": "False" }, { "q": "Let b be 3/(30/514) - 9/(-15). Let s = -40 + b. Suppose -p - s = -4*o - 2*p, -5*o + 6 = -p. Is o prime?", "a": "True" }, { "q": "Suppose 5*d + 10 + 35 = -5*o, d = -5*o - 41. Is (-372)/o - (7/2 - 4) prime?", "a": "True" }, { "q": "Let l(s) = -s**2 + 4. Let k be l(0). Let c be ((-25)/k)/((-1)/164). Let p = 2068 - c. Is p a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*i + 5*z - 134180, 2*z = 4*i - 53355 - 53971. Is i composite?", "a": "False" }, { "q": "Let w = 36677 + -9798. Is w composite?", "a": "False" }, { "q": "Suppose 4*h - p + 4 - 3 = 0, 5*h = -2*p + 2. Suppose 2*x - 8 - 2 = h. Suppose -r + 3*w = -641, 0*r - x*w + 641 = r. Is r a composite number?", "a": "False" }, { "q": "Let s be (-1104354)/(-8) - (2 + (-7)/4). Suppose -16*i = -53460 - s. Is i a prime number?", "a": "True" }, { "q": "Suppose -3*a + 379183 = 5*j, 15*j - 151677 = 13*j - 5*a. Suppose 13*l = -3257 + j. Is l composite?", "a": "True" }, { "q": "Suppose 6*c - 1403 = 847. Let b = 754 - c. Is b prime?", "a": "True" }, { "q": "Let s = -198205 + 306056. Is s a composite number?", "a": "True" }, { "q": "Let o = 72 + -68. Suppose o*w - 17668 = v, -5258 = 5*w + 4*v - 27343. Is w composite?", "a": "True" }, { "q": "Suppose -5*j + 5*a = -40, a + 24 = 3*j + 4*a. Is 4/j*2692/2 prime?", "a": "True" }, { "q": "Let v(r) = -r - 5. Let w be v(-12). Is (w/(-14))/(1/(-2794)) a composite number?", "a": "True" }, { "q": "Let v(h) = -1126*h + 72. Let x be v(-30). Is -1 - 0 - x/(-14) a prime number?", "a": "True" }, { "q": "Suppose 108*i - 14232180 = 19407552. Is i a composite number?", "a": "True" }, { "q": "Suppose -7*v + 2*x = -4*v - 13040, -3*v = 2*x - 13024. Let q = v + -557. Is q prime?", "a": "False" }, { "q": "Suppose 4*d + 3*u - 25550 = 0, 31947 = 5*d + 4*u - 5*u. Is d a prime number?", "a": "True" }, { "q": "Let i(a) be the first derivative of -9*a**2 - 3*a + 11. Let b be i(-1). Let l(x) = 74*x + 13. Is l(b) prime?", "a": "True" }, { "q": "Is -3 + 1 - (-347184 + 3) prime?", "a": "False" }, { "q": "Suppose -5*q - 14793 - 21871 = -4*a, 0 = -4*a - q + 36640. Let m = a - 914. Is m a composite number?", "a": "True" }, { "q": "Suppose 2*r = -0*y + y - 304, 5*y = -5*r - 775. Suppose 5*d = -3*h - 146, 2*h = -3*d - 81 - 16. Let a = h - r. Is a prime?", "a": "False" }, { "q": "Let a = -11556 + 26719. Is a a prime number?", "a": "False" }, { "q": "Let r(j) = 99*j**2 + 91*j - 273. Is r(38) a prime number?", "a": "True" }, { "q": "Suppose -10*z + 9*z + 31966 = h, 31990 = z - 7*h. Is z a prime number?", "a": "False" }, { "q": "Let h(d) be the first derivative of -7*d**2/2 - 94*d - 29. Is h(-21) a prime number?", "a": "True" }, { "q": "Let i = 16 - -18. Let q = -35 + i. Is 59*(-2 - -2 - q) composite?", "a": "False" }, { "q": "Let t(b) = 148*b + 225. Is t(23) a prime number?", "a": "False" }, { "q": "Let s be (1/(-1) - 0)*-3. Suppose s*g = -3*g - 5766. Let k = -330 - g. Is k a prime number?", "a": "True" }, { "q": "Let a(k) = k**3 - k**2 + 3*k + 5. Let i be a(-2). Let f(n) = -5*n**2 + 15*n**2 + 8*n - 7*n**2 + 4. Is f(i) a composite number?", "a": "True" }, { "q": "Suppose 0 = -182*x - 664146 + 4376764. Is x a composite number?", "a": "False" }, { "q": "Suppose 0 = -3*r - 15, 4*o - 72*r + 70*r - 105182 = 0. Is o a prime number?", "a": "True" }, { "q": "Suppose -3*b + 19 + 8 = 0. Suppose 0 = -18*z + 21*z - b. Let j(p) = 4*p**3 - p**2 + 3*p + 3. Is j(z) a composite number?", "a": "True" }, { "q": "Let p = -35 + 32. Let t(q) = -q**3 - 5*q**2 - 8*q - 4. Let o be t(p). Suppose -o*v - 4*m - m = -1419, 2*m + 2874 = 4*v. Is v a composite number?", "a": "True" }, { "q": "Let c(g) = g**3 + 66*g**2 - 868*g + 65. Is c(-44) composite?", "a": "False" }, { "q": "Suppose 3*i - 218 = -74. Let t be (-46)/(-11) - (i/22 - 2). Suppose -6357 = -t*b + b. Is b a prime number?", "a": "False" }, { "q": "Let x = -48 - -93. Let z = x - 43. Suppose d = 5*b - 2408, -b - z*b = -5*d - 1458. Is b a prime number?", "a": "False" }, { "q": "Let f(p) = 49*p - 6. Let g be f(-2). Let q = 55 - g. Is q prime?", "a": "False" }, { "q": "Suppose -3*h + 2*h + n = -5842, 17540 = 3*h + 4*n. Suppose -20 = -4*s + 4*u, -s + 4*s = -4*u - 6. Suppose 8*z = s*z + h. Is z prime?", "a": "False" }, { "q": "Suppose 5*d - 3 = 4*p, p = -3*d + 4*d. Suppose z - 2*z + 5 = p*y, 4*y = 0. Is (1467/35 + 2/7)*z prime?", "a": "True" }, { "q": "Let b(s) be the first derivative of s**5/20 - 5*s**4/12 - 19*s**3/6 + 5*s**2 + 14*s + 18. Let j(i) be the first derivative of b(i). Is j(9) composite?", "a": "False" }, { "q": "Let z = -3968 - -658. Let w = z - -8397. Is w a composite number?", "a": "False" }, { "q": "Let j(l) = 6*l**3 + 29*l**2 - 48*l - 15. Is j(22) a prime number?", "a": "False" }, { "q": "Let h be (1/(2/40))/((-2)/(-446)). Let k = 5547 + h. Is k a composite number?", "a": "False" }, { "q": "Suppose -5*d - 5970 = j + 2535, d + 4*j = -1682. Let b = 3837 - 612. Let t = d + b. Is t a composite number?", "a": "False" }, { "q": "Let g be (-2)/8 + 4898/8. Suppose -3*p + 3*k - 927 = 0, 5*k = -p + k - 329. Let n = p + g. Is n composite?", "a": "True" }, { "q": "Let a be 2 + -1 + (-2384)/2. Let d be (-225)/(-125)*30/9. Is a/(-9)*(d + -2 + -1) composite?", "a": "False" }, { "q": "Let v be (-78)/(-4)*(-2 - 0). Let z = v - -44. Suppose 2*p - z*q - 1267 = 0, 4*q + 2830 = 4*p + 302. Is p prime?", "a": "True" }, { "q": "Let x(f) be the third derivative of 169*f**4/24 - 5*f**3/6 - 25*f**2 + 13*f. Let q(m) = -5*m + 1. Let l be q(-1). Is x(l) prime?", "a": "True" }, { "q": "Suppose 3*k - 27 = -21. Suppose 12922 = 4*f - k*r, 12*f = 11*f - 4*r + 3217. Is f a composite number?", "a": "False" }, { "q": "Let g = 937 - -763. Suppose 2*v + 5*q = 8237, 2*v + 2*q - g = 6528. Is v composite?", "a": "False" }, { "q": "Let t be ((5/(-15))/1)/((-4)/72). Suppose 5881 = 2*k + 3*v, 5*v = t - 1. Is k a composite number?", "a": "False" }, { "q": "Suppose 3230 = -4*n + 36754. Suppose 4*z - 4894 = 2*l + 1790, 4*l = -5*z + n. Is z composite?", "a": "True" }, { "q": "Let j = 3913 - 3752. Is j prime?", "a": "False" }, { "q": "Let d(l) = l + 21. Let y be d(-15). Let h(m) = 2*m**2 - 10*m - 9. Let i be h(y). Suppose -i*f = -362 - 271. Is f a composite number?", "a": "False" }, { "q": "Let g(x) = 1824*x**2. Let i be g(1). Let o = i - -621. Suppose 2*p - o = -p. Is p a prime number?", "a": "False" }, { "q": "Let h(m) = -79*m + 8791. Is h(0) a composite number?", "a": "True" }, { "q": "Is 50 + -61 - (2 + -28359) composite?", "a": "True" }, { "q": "Let b = -250324 + 463847. Is b a composite number?", "a": "False" }, { "q": "Let s = 43502 + -6424. Is s composite?", "a": "True" }, { "q": "Suppose 0 = l - 2*l. Let m be (4 - 6) + l - -4. Suppose m*b + 2*p + 2*p = 386, 0 = -2*b - 3*p + 390. Is b prime?", "a": "False" }, { "q": "Suppose 3*x = 5*b + 3266, 5*b - 2*b + 3 = 0. Is x prime?", "a": "True" }, { "q": "Let s(r) = 9*r**3 + 77*r**2 - 10*r + 31. Is s(13) a prime number?", "a": "True" }, { "q": "Is (-15)/(-135)*2 - -67*19911/27 prime?", "a": "True" }, { "q": "Suppose 0 = 5*s - 7*s - 6. Let i(t) = t**3 + 3*t**2 - 3*t - 4. Let z be i(s). Suppose 2*b - 1002 = -z*v, 3*b - v - 633 - 870 = 0. Is b composite?", "a": "True" }, { "q": "Suppose 4*m - 7*m = 3*j - 24, -28 = -5*m - j. Suppose 3165 = 5*b - 5*v, -m*b - 2*v = -5*v - 3169. Is b prime?", "a": "False" }, { "q": "Let n(a) = -a**3 + a**2 + 2*a - 1. Let z be n(-3). Let b = -24 + z. Suppose 1265 = b*u - 645. Is u composite?", "a": "True" }, { "q": "Let v(d) = 5*d**2 + 2*d + 6. Let o(j) = -j**2 - 2*j + 10. Let i be o(-5). Let t be v(i). Let k = t + 150. Is k a composite number?", "a": "False" }, { "q": "Let d be (72/(-42) - -2)*7. Suppose 5*j + 3*t - 1377 = 1219, 3*j = d*t + 1569. Is j a composite number?", "a": "False" }, { "q": "Let p be (-2 - (-12)/(-18))*18/(-4). Let d(q) = 126*q - 73. Is d(p) a prime number?", "a": "True" }, { "q": "Let n(z) = z**3 - 9*z**2 + 11*z - 19. Let v be n(8). Suppose 718 = v*m + 153. Let y = 182 - m. Is y a prime number?", "a": "False" }, { "q": "Let g = 96584 - 67245. Is g a composite number?", "a": "False" }, { "q": "Let s(h) = 253*h**3 + 2*h**2 - 8*h + 7. Let k(u) = -u**3 + 3*u**2 + 3*u + 5. Let c be k(4). Is s(c) a prime number?", "a": "False" }, { "q": "Let t(o) = 174*o + 27. Let j be t(7). Let m = 2222 - j. Is m prime?", "a": "True" }, { "q": "Let c be (((-576)/40)/(-8))/((-3)/(-25)). Let s = 4 + c. Is s a prime number?", "a": "True" }, { "q": "Suppose 2419596 = 683*x - 671*x. Is x a prime number?", "a": "False" }, { "q": "Let m be (1 - -4)*(-12104)/(-340). Suppose -4*r = -0*r + 5*q, 0 = 2*r - q. Suppose r = s - m - 303. Is s a prime number?", "a": "False" }, { "q": "Let j(k) = -k**3 + 8*k**2 + 10*k - 33. Let q be j(8). Suppose 0 = -12*n + 851 - q. Is n prime?", "a": "True" }, { "q": "Is (6 - 0 - 5)/((-14694)/(-14693) + -1) prime?", "a": "False" }, { "q": "Let s = 32 - 19. Let x = -187 - -1161. Suppose -11*b - x = -s*b. Is b prime?", "a": "True" }, { "q": "Suppose -6*h + 8 - 8 = 0. Suppose -19758 = -6*w - h*w. Is w a prime number?", "a": "False" }, { "q": "Let w(k) = 2398*k - 1206. Is w(14) a prime number?", "a": "False" }, { "q": "Let j(x) be the first derivative of 17 - 29/2*x**2 - x. Is j(-4) composite?", "a": "True" }, { "q": "Let z(n) = 2*n + 3. Let a be z(0). Suppose -a*u = 3*l - 10248, -4*u + 17083 = l + 4*l. Is l composite?", "a": "True" }, { "q": "Let r(u) = 167*u**2 - 260*u + 55. Is r(-12) a prime number?", "a": "False" }, { "q": "Is 617*(98 - 6) + (4 - 1) a composite number?", "a": "False" }, { "q": "Let p = 14 - 6. Suppose 0 = p*w - 18244 + 4572. Is w a composite number?", "a": "False" }, { "q": "Let d(o) = -433*o - 15. Let x be d(-9). Suppose 4*w - 2*j - 3100 = 0, j = -0*w - 5*w + x. Is (10/(-4))/((-4)/w) composite?", "a": "True" }, { "q": "Let h = 82 + -82. Let m be 1/1 + 4 + -2. Suppose y - 1117 = -3*s - h*y, -6 = m*y. Is s composite?", "a": "False" }, { "q": "Let j(h) = h**3 - 30*h**2 - 37*h - 5. Let b be j(32). Suppose -w - u + 29 = -b, -4*u = 2*w - 1774. Is w composite?", "a": "True" }, { "q": "Let m(l) = -l**3 - 7*l**2 + 4*l - 32. Let x be m(-8). Suppose -93 = -2*c - 2*o + 157, x = 4*c - o - 510. Is c composite?", "a": "False" }, { "q": "Let j be (142/(8/(-4)))/(0 + -1). Let g be (-5)/(-15) - (j/(-3))/1. Is -5218*4/g*-3 a prime number?", "a": "True" }, { "q": "Let z(q) = 4594*q + 1470. Is z(4) a prime number?", "a": "False" }, { "q": "Let y = 675640 + -439857. Is y a composite number?", "a": "False" }, { "q": "Let x(h) = 5*h**2 + 14*h - 11. Let b be x(-12). Suppose 5*i - b = 944. Suppose -556 = -5*n + 3*y, -3*n + 2*y = -36 - i. Is n a composite number?", "a": "False" }, { "q": "Let w(p) = -8008*p + 225. Is w(-23) composite?", "a": "False" }, { "q": "Let f(s) = s**3 - 16*s**2. Let u be f(16). Suppose u = 4*m + o - 13, -4*o = -3*m - 0 + 24. Suppose 0 = m*i - 0*i - 2524. Is i composite?", "a": "False" }, { "q": "Let o(d) = -12*d**2 - 5*d**3 - 8*d**3 + 12*d**3 + 13*d. Let z be o(-13). Suppose z = -7*p + 8*p - 58. Is p a prime number?", "a": "False" }, { "q": "Suppose 196748 = 20*t + 4370 - 277922. Is t composite?", "a": "True" }, { "q": "Let t(r) = 9*r**3 - 6*r**2 - 16*r + 49. Let f(m) = 5*m + 51. Let b be f(-9). Is t(b) composite?", "a": "True" }, { "q": "Suppose 0 = 1410*k - 1395*k - 1102485. Is k prime?", "a": "False" }, { "q": "Let q be 1361/(-3)*-2 + 4/6. Let g = -269 + q. Let b = 1148 - g. Is b a prime number?", "a": "True" }, { "q": "Suppose j - 3*t = 9, -t - 5 = j + 6. Is 3/j*(2 + -4)*1141 composite?", "a": "True" }, { "q": "Suppose 2*d = -4 + 8. Let r = d + -5. Let n(p) = 129*p**2 - p - 7. Is n(r) composite?", "a": "True" }, { "q": "Suppose -m + p = -137, -2*m + 273 = -4*p + 3*p. Suppose 0 = 2*f - 2092 + m. Is f/8*(3 + 1) a prime number?", "a": "False" }, { "q": "Suppose 649*i = 668*i - 322487. Is i a composite number?", "a": "True" }, { "q": "Is 1/14 + 4 + (-3938644)/(-56) a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*m + 4*d - 176, 0 = m + d - 18 - 18. Let u = 37 - m. Suppose b + 219 = 2*i, 0 = u*i - 6*b + 2*b - 549. Is i a composite number?", "a": "False" }, { "q": "Suppose 29*j = -41*j + 27121150. Is j a composite number?", "a": "True" }, { "q": "Let o(p) = p**3 + 8*p**2 - 2. Let v be o(-8). Is (-3 - (-50)/4)/(v/(-4)) prime?", "a": "True" }, { "q": "Let k(x) be the third derivative of -16/3*x**3 - 17/12*x**4 - 1/60*x**5 + 0 + 14*x**2 + 0*x. Is k(-19) composite?", "a": "True" }, { "q": "Let b(l) = 5*l - 70. Let n be b(14). Suppose n = 4*x + 2*d - 15508 + 6298, -9211 = -4*x - 3*d. Is x a prime number?", "a": "False" }, { "q": "Let v = 3962 + 9599. Is v a composite number?", "a": "True" }, { "q": "Suppose -2*h - 61948 = -2*w, -h + 30 - 31 = 0. Is w a composite number?", "a": "True" }, { "q": "Suppose 0 = -5*l - 2*u + 818911 + 286122, -663023 = -3*l - 2*u. Is l a prime number?", "a": "False" }, { "q": "Let z(s) = 5941*s + 1024. Is z(5) prime?", "a": "False" }, { "q": "Suppose 12*o = -9*o - 105. Is (163 - -2) + (-2 - 0/o) prime?", "a": "True" }, { "q": "Suppose 0 = 2*p + 4*t - 22, -p - 4*t + 21 = 2. Suppose -3*n + 20244 = p*k, 6*k - 20274 = 3*k + 3*n. Is k prime?", "a": "False" }, { "q": "Let u = -224 - -228. Suppose 45005 = 5*j + u*z, -j - 9025 = -2*j + 4*z. Is j a composite number?", "a": "True" }, { "q": "Suppose -3*k - 21720 = 163*s - 166*s, s = -5*k + 7222. Is s a composite number?", "a": "False" }, { "q": "Let u be 7 - (-93)/(-13) - (-160)/26. Is ((-3)/u)/(4/(2281*-24)) a composite number?", "a": "True" }, { "q": "Let l(d) = d**2 - 35*d + 105. Let g be l(35). Let r = 6 + -8. Let u = g + r. Is u prime?", "a": "True" }, { "q": "Suppose 10*o = 38 + 2. Suppose -o*y = 16, -2*s - 3525 = -5*s + 3*y. Is s a prime number?", "a": "True" }, { "q": "Suppose -3*a - 2*w + 40493 = 0, -a - 2*w + 10677 + 2818 = 0. Is a a prime number?", "a": "True" }, { "q": "Suppose -3*g - 36 = -2*g + 5*a, 2*g - 4*a = -16. Let p(d) be the second derivative of -d**5/20 - 5*d**4/4 - 2*d**3/3 + 11*d**2/2 + d. Is p(g) prime?", "a": "True" }, { "q": "Let v = 30 + -77. Let t = 49 + v. Suppose -15 = b + t*b, 2*f = 2*b + 140. Is f a composite number?", "a": "True" }, { "q": "Suppose 5*q + 3*d + 719 = 0, q - 4*d + 85 + 68 = 0. Suppose -2*m + 353 = 3*u, 3*m - 528 = 9*u - 13*u. Let t = m - q. Is t a prime number?", "a": "True" }, { "q": "Let x(f) = -204*f**3 - f**2 + 1. Let q be x(-1). Let s be (0 - -3 - 17) + 1. Let c = s + q. Is c prime?", "a": "True" }, { "q": "Suppose -76*o + 9*o + 2020117 = 0. Is o a prime number?", "a": "False" }, { "q": "Let h be (-2 - 2)/(-3*4/6). Suppose 0 = 8*k - h - 22. Suppose k*v = -r + 864, -4*v - 486 = 4*r - 1630. Is v a composite number?", "a": "True" }, { "q": "Suppose 0 = w - 2*l - 261381, 18*w - 14*w - 1045514 = -2*l. Is w composite?", "a": "False" }, { "q": "Let p(t) = 1838*t**2 + 34*t - 349. Is p(7) prime?", "a": "False" }, { "q": "Is (30/60)/(4/(383464/1)) composite?", "a": "False" }, { "q": "Let h(f) be the first derivative of 218*f**2 - 35*f - 32. Is h(6) a prime number?", "a": "False" }, { "q": "Suppose -8*x + 1358180 = 16*x - 4*x. Is x composite?", "a": "True" }, { "q": "Let s = -9414 + 23678. Suppose 4*v = 3*i - 10733, 3*i + 4*v - s = -i. Is i a prime number?", "a": "True" }, { "q": "Suppose 5*k - 4*g - 36 - 4 = 0, 18 = 2*k - 2*g. Suppose -2*r - 2*n = -2055 - 1607, -k*r - n = -7336. Let l = r - 684. Is l a composite number?", "a": "False" }, { "q": "Suppose 5168 = -4*v - 4480. Let m = v - -7033. Is m a prime number?", "a": "True" }, { "q": "Let r(q) = q**3 + 2*q**2 - q - 2. Let h(d) = -d - 6. Let l be h(-4). Let j be r(l). Suppose j = -4*n - 426 + 1682. Is n composite?", "a": "True" }, { "q": "Suppose 3*j + 10 = l, l + 4*j = 16 + 1. Suppose l*r - 3389 = 17892. Is r a composite number?", "a": "False" }, { "q": "Let t(f) = f**3 - 14*f**2 + 30*f - 51. Let g be t(12). Suppose 19*d = g*d - 1838. Is d composite?", "a": "False" }, { "q": "Let l(x) be the second derivative of -185*x**3/6 + 9*x**2 - 10*x. Let v be l(-4). Suppose -5*b + v = 2*q, -4*q - q = -2*b - 1895. Is q prime?", "a": "True" }, { "q": "Suppose -15*n + w = -13*n - 48, 4*w = -3*n + 72. Is -6*(0 + (-3188)/n) prime?", "a": "True" }, { "q": "Let p = -2292 - 16065. Let y = p - -26416. Is y prime?", "a": "True" }, { "q": "Suppose 4*a = -3*c + 14 + 11, 4*c = 5*a - 8. Suppose 0*p + 2*p = c*p. Is 292 - 3/(p - 3) composite?", "a": "False" }, { "q": "Suppose 289 = 4*c - 3*g, 2*c + 3*c - 3*g = 359. Suppose 66*a - c*a = -2804. Is a prime?", "a": "True" }, { "q": "Let n(t) = 26*t**3 + t**2 + 7*t - 9. Suppose m - 2*m = -7. Let k be n(m). Suppose 4 = -2*f, -4*p + f + k = p. Is p a prime number?", "a": "True" }, { "q": "Let g(w) = w**3 - 24*w**2 - 82*w + 31. Let r be g(27). Let b(n) = 3*n + 4*n**2 - 5 + 4*n**2 - n**2. Is b(r) prime?", "a": "False" }, { "q": "Suppose 2*j - 15 = -5*s + 7*j, -s - 3*j + 11 = 0. Let v = -7 - -11. Suppose 0 = 2*q - 2*l - 1562, -2*l + 3917 = s*q - v*l. Is q composite?", "a": "True" }, { "q": "Let u be (-911)/(-2) - (6/12)/(-1). Suppose w - 867 = -4*y, 4*w + 0*w + u = 2*y. Suppose y = 3*r - r. Is r a composite number?", "a": "False" }, { "q": "Let l(j) = -66*j + 113 - 545*j - 36. Is l(-4) a composite number?", "a": "False" }, { "q": "Suppose -9*c = -14*c - 1800. Suppose 6111 = 5*n - 14*n. Let v = c - n. Is v a prime number?", "a": "False" }, { "q": "Let r(o) = o**2 + 3*o. Let x be r(-4). Suppose 4*k + 4*s = -k - 20, 2*k + 20 = -x*s. Is 319 - ((k/3)/2 + 2) a prime number?", "a": "True" }, { "q": "Suppose -27 = -6*k - 3*k. Suppose -5*s + k*s + 8 = 0. Suppose -s*o + 5*y = 687 - 2320, 2*y = -4*o + 1626. Is o a composite number?", "a": "True" }, { "q": "Suppose 0 = -4*r - 4*i + 7*i + 43934, 2*i + 54914 = 5*r. Suppose -3*s + r = -8707. Is s prime?", "a": "True" }, { "q": "Let u = -36 - -36. Suppose u = -9*f + 6*f + 9. Suppose -1861 = -5*a - 4*h, f*h = 2*h - 1. Is a a composite number?", "a": "False" }, { "q": "Let t(k) = 6670*k**2 - 4*k - 5. Is t(3) a prime number?", "a": "True" }, { "q": "Let c = -7 + 4. Suppose -5*k + 20 = -125. Is (20 - c - 4)*k composite?", "a": "True" }, { "q": "Let c(o) = 3*o**2 - o - 4. Let m be c(3). Suppose 10*w = 9*w + m. Suppose -2*p + 1355 = 3*b, -w = 2*b + 2*b. Is p a prime number?", "a": "False" }, { "q": "Let n be 6/(-12) - 1011/(-6). Let x be (-26)/(-7) + -1 + 48/n. Suppose -313 = -x*m + c, 4*m - 5*c + 237 = 6*m. Is m composite?", "a": "True" }, { "q": "Suppose -25*j = -22*j - 10485. Suppose 0 = -3*q + j + 3558. Is q a composite number?", "a": "False" }, { "q": "Let o(p) = -7*p - 27. Let y be o(-6). Suppose m - 9 = -4*t + 3, -5*t + y = -5*m. Let l(h) = 150*h - 1. Is l(t) prime?", "a": "True" }, { "q": "Suppose d + 711 = 2*d. Let c be 8*(-24)/(-144)*(-30)/(-8). Suppose 3*q + 2*q = -c, -4*q = -u + d. Is u a prime number?", "a": "False" }, { "q": "Let g(b) be the second derivative of 17*b**5/20 - 11*b**3/6 + 19*b**2/2 - 16*b - 1. Is g(3) a composite number?", "a": "True" }, { "q": "Suppose -5*h = -k + 3*k + 17, -4*h - 4*k = 16. Let c(t) = -2*t - 2. Let v be c(h). Suppose 2*x = -2, v*z - 440 = 2*x + 2*x. Is z a composite number?", "a": "False" }, { "q": "Let o be ((-303)/(-9)*-26)/((-2)/(-6)). Let c = o - -4721. Is c prime?", "a": "False" }, { "q": "Let g(b) = -24*b - 13. Let r be 2/(-12)*-57*-2. Let h = -23 - r. Is g(h) a prime number?", "a": "True" }, { "q": "Let q(x) = -8 + x - 5 - 2*x + 2. Let z be q(-11). Suppose z*n + 2*n = 5*m - 7333, -3*n - 4407 = -3*m. Is m a composite number?", "a": "True" }, { "q": "Let n be (26841/(-46))/((-6)/16). Suppose 0 = 5*x + 5*v - 2610, 4*v = -3*x + 3*v + n. Is x composite?", "a": "True" }, { "q": "Let z be (-3 - (-3 + -3))/1. Suppose 2*x + 7894 = 2*c, 786 = -z*c + 2*x + 12623. Is c composite?", "a": "False" }, { "q": "Let q = 132 - 112. Let t(a) = 68*a + 6. Is t(q) a prime number?", "a": "False" }, { "q": "Suppose -5*j = -j - 2*r - 26, r + 5 = j. Suppose 16*b - 14*b - j = 0. Suppose -b*v + 2*v - 3*o + 1070 = 0, 4*v - o - 2168 = 0. Is v a prime number?", "a": "True" }, { "q": "Let w be 0*(-4 - (-21)/6). Suppose 3*l - 4*s - 289 = w, 34 = 5*l + 2*s - 413. Is ((-2)/(-7) - 0) + 5889/l a composite number?", "a": "True" }, { "q": "Suppose 8*u = -29*u + 17*u + 775820. Is u a composite number?", "a": "False" }, { "q": "Let q = 7660 + 21846. Is q a composite number?", "a": "True" }, { "q": "Let t(z) = -6*z + 17. Let i be t(-8). Suppose -10*l - 15 + i = 0. Suppose 0*c - c = m - 195, 0 = 2*m - l*c - 362. Is m prime?", "a": "True" }, { "q": "Suppose 0 = 14*m - 9*m - 5. Is (-2 - -3 - 0)*(m + 1846) a prime number?", "a": "True" }, { "q": "Suppose 1240 = -2*b - 1586. Let p(o) = o**2 + 59*o + 170. Let g be p(-56). Is (b + 2/g)/(-2) a prime number?", "a": "False" }, { "q": "Let x(o) = 4*o**3 + 3*o**2 + 4*o + 2. Let l be x(-1). Let d(p) = 317*p**2 - 6*p - 8. Is d(l) a prime number?", "a": "False" }, { "q": "Let g(n) = 7*n - 56. Let z be g(7). Is (-1*1)/(((-7)/(-6089))/z) composite?", "a": "False" }, { "q": "Let a = -80 + 167. Is a/(-4)*(-588)/63 a composite number?", "a": "True" }, { "q": "Let s be ((-82)/205)/(2/(-20)). Is (4*s/16)/((-5)/(-13265)) prime?", "a": "False" }, { "q": "Suppose 3*g - 2*t - 127 = 0, 2*g - 2*t - 48 = 38. Suppose 2*n + g = 37. Let b(f) = -26*f**3 + 3*f**2 + 3*f + 4. Is b(n) a prime number?", "a": "False" }, { "q": "Let z(l) = 3*l - 26. Let i be z(10). Suppose 0 = 5*m - 2*q + 49, i*q = m + 1 - 2. Let g(w) = w**2 - 10*w + 8. Is g(m) prime?", "a": "True" }, { "q": "Suppose -3*m + 2*v + 8 = 0, 2*v + 2*v = m - 6. Let z be 9/3 - (16 - m). Let p(k) = 2*k**2 + 11*k. Is p(z) a prime number?", "a": "False" }, { "q": "Let z(w) = 2596*w**2 + 62*w - 187. Is z(3) a composite number?", "a": "True" }, { "q": "Let f(p) = 5*p**3 + 9*p**2 - 5*p + 18. Let v be f(6). Let n = v + -409. Is n composite?", "a": "False" }, { "q": "Let d(x) be the first derivative of -17*x**6/120 + x**4/24 - 5*x**3/6 - 7*x**2/2 - 13. Let v(i) be the second derivative of d(i). Is v(-4) prime?", "a": "False" }, { "q": "Suppose 159 = r + 6. Suppose r = q - 83. Suppose 397 + q = 3*i. Is i a composite number?", "a": "False" }, { "q": "Let s be (113/(-2))/(6/(-36)). Suppose -4*p - 26 = -3*o + o, 0 = -o + p + 10. Suppose -4*q - s = -o*q. Is q prime?", "a": "True" }, { "q": "Suppose -25*n + 1532904 + 3149671 = 0. Is n a prime number?", "a": "True" }, { "q": "Let p be ((-1046)/(-4))/((-48)/576). Let h = 6527 + p. Is h composite?", "a": "False" }, { "q": "Let w(m) = -m**3 + 7*m**2 + m - 48. Let r be w(-9). Is r + -1 - (0 + -5) composite?", "a": "True" }, { "q": "Let k = -28 + 33. Suppose -15*y + 50 = -k*y. Suppose -y*i + 785 = -0*i. Is i composite?", "a": "False" }, { "q": "Let h = 7765 - 114. Is h a composite number?", "a": "True" }, { "q": "Suppose 64530 - 15547 = 11*w. Is w a prime number?", "a": "False" }, { "q": "Suppose m - 1920 = 25*m. Is 35/8 + 30/m - -1185 composite?", "a": "True" }, { "q": "Let u(l) = 222*l + 7. Suppose 0 = -2*g - 1 - 7. Let z = -2 - g. Is u(z) prime?", "a": "False" }, { "q": "Is 165/99*6/10 - -169250 composite?", "a": "True" }, { "q": "Is ((-4)/((-48)/1067298))/(1/2) composite?", "a": "False" }, { "q": "Suppose 0 = -218*q + 213*q + 4*r + 159365, -3*q - 2*r = -95641. Is q a composite number?", "a": "True" }, { "q": "Let a(w) = 121554*w + 187. Is a(1) a prime number?", "a": "False" }, { "q": "Let r(l) = -52*l**2 - l + 5. Let d = 9 - 13. Let p(c) = -52*c**2 - c + 4. Let n(i) = d*p(i) + 3*r(i). Is n(2) a composite number?", "a": "True" }, { "q": "Let r(h) = -10*h**3 + 3*h**2 + 11*h + 12. Suppose -4*k + 0 = -8, 0 = -3*q + k - 17. Is r(q) prime?", "a": "False" }, { "q": "Let m = -1200 - -2883. Suppose 19*l = 10*l + m. Is l a composite number?", "a": "True" }, { "q": "Let d(n) = 7*n**3 + 2*n**2 - 1. Let x be d(1). Let m(f) = -10 - f**3 - 8*f**3 + f**2 + 13*f - 2*f + x*f**3. Is m(-9) prime?", "a": "True" }, { "q": "Suppose -72961 = -3*t - 5*b, -2*b - 20 = -24. Is t composite?", "a": "False" }, { "q": "Is (7*(452504/28 + 8))/(2/1) a composite number?", "a": "False" }, { "q": "Suppose 14*u - 8 = 12*u. Let s be (0 + (-4)/8)/((-1)/u). Suppose 0 = s*i - 0*i - 1266. Is i composite?", "a": "True" }, { "q": "Suppose -4*p - 3*s + 16 = 2*s, -2*p = -5*s - 8. Suppose -p*c + 5*c - 3 = 0. Is 3 - ((c - 0) + -1141) prime?", "a": "False" }, { "q": "Suppose u = 5*i - 19, 0*u - 2*u - 18 = -5*i. Let z(p) = -99*p + 4 + 5 - i. Is z(-2) a composite number?", "a": "True" }, { "q": "Let i(t) = t**3 + 12*t**2 - 13*t - 27. Let g be i(-13). Let c = g - -149. Let j = 21 + c. Is j prime?", "a": "False" }, { "q": "Let n(l) = -10*l - 111. Let x be n(0). Let g = -78 - x. Is g prime?", "a": "False" }, { "q": "Let z(j) = -4*j + 32. Let i be z(7). Is (-5840)/(-6) - (-5)/(-60)*i prime?", "a": "False" }, { "q": "Let a(f) = 41*f**3 + 21*f**2 + 13*f + 44. Is a(7) a composite number?", "a": "False" }, { "q": "Let z(m) = 2*m**2 + 22*m + 39. Let n be z(-9). Suppose 0 = -4*v + n*h + 1150 + 903, 5*v = 2*h + 2575. Is v a prime number?", "a": "False" }, { "q": "Let d = -41 - -41. Let q be (-1 - d)*(-2 + (5 - 3)). Suppose q = 2*t + 19 - 89. Is t prime?", "a": "False" }, { "q": "Let z(c) = -4*c**3 + 5*c**2 - c - 5. Let o(y) = -y**3 + y**2 - y. Let x be ((-24)/(-10))/((-4)/(-10)). Let t(l) = x*o(l) - 2*z(l). Is t(4) a prime number?", "a": "False" }, { "q": "Let b(f) be the first derivative of -107*f**2/2 + 15*f + 2. Suppose 0 = -4*p - 4*a - 16, 20 = -p + 35*a - 32*a. Is b(p) a composite number?", "a": "True" }, { "q": "Let g(r) = -r**2 - 5*r + 5. Let m be g(-5). Let p = 209 + -76. Suppose -p = -2*q - m*q. Is q composite?", "a": "False" }, { "q": "Suppose -47*t + 9910850 + 6316613 = 86*t. Is t a composite number?", "a": "False" }, { "q": "Let x = -2452 - -7887. Is x prime?", "a": "False" }, { "q": "Is 454*364/16 - (-95)/38 composite?", "a": "False" }, { "q": "Suppose -n - 2*n = 0. Suppose 0 = -2*o + 4*s + 6, 2*s + 21 = 3*o - n*o. Is o/(-12)*(-1988)/7 a prime number?", "a": "False" }, { "q": "Suppose -114*g = -126*g + 1840764. Is g a prime number?", "a": "False" }, { "q": "Suppose 3*n - 7*n = 5*r - 624, 618 = 5*r - 2*n. Suppose 2 = 3*k - 2*k. Suppose 714 = k*b - r. Is b a composite number?", "a": "False" }, { "q": "Suppose -13*k + 17*k - 30924 = -5*f, 4*k + 2*f = 30912. Is k prime?", "a": "False" }, { "q": "Let y(h) = 2*h**3 + 8*h**2 + 6*h - 3. Let q(p) = -p**3 + 6*p**2 - 5*p - 5. Let j be q(5). Let z be y(j). Is z/(-2)*(2 + -2 + 2) prime?", "a": "True" }, { "q": "Let d(u) = -149*u**2 + u + 6 + 334*u**2 - 5. Suppose 3*f + 1 + 2 = 0. Is d(f) composite?", "a": "True" }, { "q": "Suppose 3*z + 3*k - 106684 - 60602 = 0, -2*z + 2*k + 111528 = 0. Is z a prime number?", "a": "True" }, { "q": "Suppose -10 = -3*d + 17. Suppose 4386 - 183 = d*z. Is z a composite number?", "a": "False" }, { "q": "Let w(g) = 6*g**2 + 15*g + 3. Let i be w(7). Suppose -i = 2*p + 1646. Let h = p - -3357. Is h a composite number?", "a": "False" }, { "q": "Let s(j) = 4*j**2 + 2*j - 11. Let z be s(-8). Let u = 532 - z. Is (u - 1) + 4 + -8 composite?", "a": "True" }, { "q": "Let d(a) = -4*a**3 - 6*a**2 - 30. Let z be d(11). Let u = z - -12199. Is u composite?", "a": "True" }, { "q": "Suppose -j = -3*j. Let i be 1/(6/(-48)) + 12. Suppose 3*r + k - 272 = j, 3*r - i*k - 186 = r. Is r a composite number?", "a": "True" }, { "q": "Is 2*(-10 + 9) - -117019 a prime number?", "a": "True" }, { "q": "Let j = -887 + 4322. Suppose -5*r + j = 4*w, 2*r + 2*w = -0*w + 1372. Is r a composite number?", "a": "False" }, { "q": "Let b(v) be the second derivative of 43*v**3 - 5*v**2/2 + 2*v - 8. Is b(2) a prime number?", "a": "False" }, { "q": "Let j(f) = -3*f**3 - 106*f**2 - 60*f + 244. Is j(-57) a composite number?", "a": "False" }, { "q": "Suppose 6*j - 55 + 163 = 0. Let t be (j/(-10))/(33/110). Suppose 0 = -t*r - r + 5971. Is r prime?", "a": "True" }, { "q": "Suppose -5*p + 25 = -4*g, -2*p + 45*g = 50*g + 23. Suppose 37 = 2*t + 5*a, 2*a - 20 = -2*a. Is 159*p/t*2 a composite number?", "a": "False" }, { "q": "Suppose 19*y + 5 = 24*y. Let w(d) = 734*d**3 - 3*d**2 + 2*d. Is w(y) prime?", "a": "True" }, { "q": "Let r(h) = -2750*h - 41. Let d(j) = -917*j - 14. Let f(o) = -7*d(o) + 2*r(o). Is f(3) a composite number?", "a": "True" }, { "q": "Suppose -5*j = 2*b + 3, j = -4*b - 4*j + 9. Suppose 5934 = b*g + 432. Is g composite?", "a": "True" }, { "q": "Let l(w) = 8*w - 9. Let j be l(3). Let h be (-24)/4*j/(-18). Suppose 3*y + 1 = -2, -h*y + 759 = 4*i. Is i a composite number?", "a": "False" }, { "q": "Let g = 1281030 - 632345. Is g composite?", "a": "True" }, { "q": "Let q(r) be the third derivative of 131*r**5/60 + 2*r**4/3 - 13*r**3/2 + r**2 - 10. Is q(8) a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*p - 4*y - 482909, 6*y = -3*p + 11*y + 289748. Is p a prime number?", "a": "True" }, { "q": "Let n = -12588 + 66519. Is n composite?", "a": "True" }, { "q": "Let n = -41 - -43. Suppose -2*o = n*o. Let q(r) = -r**3 + r**2 - r + 389. Is q(o) a composite number?", "a": "False" }, { "q": "Let h(g) = 18*g - 144. Let m be h(8). Let x(z) be the third derivative of -z**4/24 + 641*z**3/6 + z**2. Is x(m) prime?", "a": "True" }, { "q": "Suppose 2*s - 9*s = -83370. Let v = s + -8269. Is v a composite number?", "a": "True" }, { "q": "Suppose 23 = 2*w - 5*c - 1, c = 3*w - 10. Let a be (644/21)/(w/3). Suppose -2*u + a + 140 = 0. Is u a prime number?", "a": "False" }, { "q": "Suppose i - 2*x - 2 = -2*i, 2*x - 10 = 0. Let o be (i - 204/54) + 86/18. Suppose 2*z - 4*z + 100 = -2*w, -285 = -o*z - 2*w. Is z a composite number?", "a": "True" }, { "q": "Suppose 5660*b = 5644*b + 5745616. Is b composite?", "a": "False" }, { "q": "Suppose 3*b + 2069 = -p + 373, 4*b - 8442 = 5*p. Let r = p + 2583. Is r a composite number?", "a": "True" }, { "q": "Is (162/(-108))/(6/(-194092)) composite?", "a": "False" }, { "q": "Let y(s) = -40858*s - 1303. Is y(-5) composite?", "a": "False" }, { "q": "Suppose -190201 - 354103 - 276986 = -10*b. Is b a prime number?", "a": "True" }, { "q": "Suppose 2*t - l - 7 = -4*l, -4*t + 5*l = -3. Suppose t*j - 2*y = 5998 + 1666, 5*j - 19196 = -4*y. Suppose 0*b - 4*b = -j. Is b composite?", "a": "True" }, { "q": "Let l(j) = -j**3 - j**2 + 4*j - 5. Let v be l(-4). Let f = v + -27. Suppose -3*k - 640 = -f*s - 4*s, -3*s - 3*k = -501. Is s composite?", "a": "False" }, { "q": "Suppose -56*n - 5*d - 15469 = -59*n, 3*d = -n + 5175. Is n prime?", "a": "False" }, { "q": "Let m be -1 + 64/56*7/2. Let k be 159 + m + -7 + 3. Suppose -b + k = b. Is b prime?", "a": "True" }, { "q": "Let v = 130 - 122. Suppose 12*j + 4*r = v*j + 26244, 3*r + 6 = 0. Is j composite?", "a": "False" }, { "q": "Let h = -17940 + 36839. Is h a composite number?", "a": "False" }, { "q": "Let v(x) = -x**3 - 5*x**2 + x + 3. Let p be v(-5). Let m = p + 86. Suppose m + 418 = 2*o. Is o prime?", "a": "True" }, { "q": "Suppose -3*z - a = -94680, 4*z - 25*a + 24*a = 126247. Is z composite?", "a": "True" }, { "q": "Suppose -3*p + 4*t - t = 33, -t - 25 = 2*p. Let n(i) = -11*i**2 - 14*i - 13. Let u(c) = -10*c**2 - 14*c - 13. Let w(j) = 4*n(j) - 5*u(j). Is w(p) composite?", "a": "False" }, { "q": "Suppose 0*p = 6*p - 144. Let r(f) = -p - 36*f - 35*f + 46. Is r(-5) prime?", "a": "False" }, { "q": "Let y = -50 + 32. Let h be (-4510)/(-60) + 3/y. Suppose a - 362 + h = 0. Is a a composite number?", "a": "True" }, { "q": "Let w = -1560 - -4118. Let b = -1686 - w. Is (b/(-8))/((-1)/(-2)) prime?", "a": "True" }, { "q": "Suppose -y = -z + 555 - 3250, 2*z + 2*y = -5370. Let b = -295 - z. Is b prime?", "a": "False" }, { "q": "Suppose g + 3*g - 5*y = 94822, g - 23701 = -y. Is g composite?", "a": "True" }, { "q": "Suppose 0*a + a + 16693 = 2*w, -3*a = 2*w - 16673. Let x = w - 2787. Is x a prime number?", "a": "True" }, { "q": "Suppose -4*i = 5*q + 25, 4*i - 2*q = 11 - 1. Suppose i*u = -2*u + 6. Suppose -u*x = -x - 388. Is x prime?", "a": "False" }, { "q": "Suppose 0 = -6*l + 399 - 105. Let o = 50 - l. Is 1539 + o*(-4)/(-1) a prime number?", "a": "True" }, { "q": "Let r(s) = -s**2 + 13*s + 3. Let b be r(13). Suppose b*k = k - 0*k. Suppose -4*z + 12*z - 1352 = k. Is z a prime number?", "a": "False" }, { "q": "Suppose -b + 47 - 272 = 0. Let u = 1981 + -879. Let c = u + b. Is c prime?", "a": "True" }, { "q": "Let z(l) = 12312*l**2 + 8*l - 5. Let p be z(2). Suppose 4*k + r = 57095, -p = -3*k + 3*r - 6449. Is k a prime number?", "a": "False" }, { "q": "Let a(d) = -5*d**3 + 4*d**2 - 3*d + 13. Let w be a(-10). Let c = w + -2670. Is c prime?", "a": "False" }, { "q": "Let i be ((-8)/(-7) - (-208)/(-182)) + 890. Let k be 2/(2/1) + 879. Suppose 6*x - x = -3*s + k, 3*s - 5*x - i = 0. Is s composite?", "a": "True" }, { "q": "Suppose -5*r - j - 2626 = -16964, 5*r - 5*j - 14350 = 0. Suppose -r = -2*i + 2542. Is i a prime number?", "a": "False" }, { "q": "Let g(o) = o**3 + 2*o**2 + 2*o + 2. Let n be g(0). Is (n/3)/(20/231510) composite?", "a": "False" }, { "q": "Let t(b) = 604*b**2 - 17*b - 4. Let d = 41 - 38. Is t(d) prime?", "a": "True" }, { "q": "Let b(z) = 13*z - 35. Let c be b(3). Suppose 5384 = c*u - 4*m, -2*u = 2*u - 2*m - 5384. Is u a prime number?", "a": "False" }, { "q": "Let w = -130573 - -345660. Is w composite?", "a": "False" }, { "q": "Let z = -146165 - -366516. Is z a prime number?", "a": "True" }, { "q": "Let j(t) = 4080*t + 1271. Is j(14) a composite number?", "a": "False" }, { "q": "Let l(i) = i**3 + 7*i**2 - 9*i - 5. Let d be l(-8). Let j(w) = -228*w + 10. Let v be j(d). Let m = v - -1215. Is m composite?", "a": "False" }, { "q": "Let m = 164 - 162. Suppose -5*l + 2*l - 5474 = -m*j, 5*j - 13703 = 3*l. Is j prime?", "a": "False" }, { "q": "Is -3*((-13 - -4) + 92744/(-6)) prime?", "a": "True" }, { "q": "Let u = 226 - 221. Is ((-1128225)/(-28))/u + 2/8 composite?", "a": "False" }, { "q": "Suppose f + 152 = -3*p + 12, -3*f + 191 = -4*p. Let l = 45 + p. Is 3 + -5 + l + 755 composite?", "a": "False" }, { "q": "Let h be (-1624)/(-196) - 2/7. Suppose -h*n - 3 = -5*n. Is (-12)/(-3)*n - -295 prime?", "a": "False" }, { "q": "Let o(x) = x**3 - 10*x**2 + 4*x - 36. Let l be o(10). Is l/7 - (-75108)/28 composite?", "a": "False" }, { "q": "Let b(h) = h**3 - 10*h**2 - 10*h - 13. Let z be b(11). Let t be 76/24 - z/(-12). Suppose -t*k = 4*d - 1001, 7*d + 325 = k + 4*d. Is k a prime number?", "a": "True" }, { "q": "Let o(y) = y - 8. Let m be o(13). Suppose -17*t + 14*t - 3*i = -17958, -m*i + 6006 = t. Is t composite?", "a": "False" }, { "q": "Let k be 4/(-4)*(0 - 12431 - -2). Let u = k + -7927. Is u a prime number?", "a": "False" }, { "q": "Let r = -341941 + 591308. Is r a composite number?", "a": "False" }, { "q": "Let b(m) = -379*m - 828. Is b(-15) prime?", "a": "False" }, { "q": "Suppose -8*b + 3*h = -13*b + 20045, 3*b = h + 12027. Is b prime?", "a": "False" }, { "q": "Let d(u) = 857*u**2 - 37*u - 203. Is d(-5) composite?", "a": "False" }, { "q": "Let w be (-4 - (-42)/9)*(1 + -4). Is 1123 + -5 - 2*w/(-4) a composite number?", "a": "False" }, { "q": "Let q = 4316 - -347. Is (q/4)/(-5*(-5)/100) a prime number?", "a": "True" }, { "q": "Suppose 2306654 - 733189 = 55*y - 1357980. Is y prime?", "a": "True" }, { "q": "Let z(r) = -4*r**3 + 16*r**2 + 21*r - 18. Let i(o) = -11*o**3 + 47*o**2 + 63*o - 53. Let k(c) = -3*i(c) + 8*z(c). Is k(16) composite?", "a": "True" }, { "q": "Let y(x) = 10*x**2 - 10*x + 3. Let z be 1/5 + (-252)/60. Let l(b) = 19*b**2 - 21*b + 6. Let f(k) = z*l(k) + 9*y(k). Is f(11) a prime number?", "a": "False" }, { "q": "Suppose -2*c = 2*g + 120, -g + 132 = -2*c - 0*g. Let t be (c/(-40))/(2/5). Suppose 5*d + 2*l = 1123, d - t*l = -d + 430. Is d composite?", "a": "False" }, { "q": "Let p(x) be the second derivative of -27*x**5/20 - 5*x**3/6 - 9*x**2/2 + 44*x. Is p(-4) a prime number?", "a": "False" }, { "q": "Let i be 6/10 + (2 - (-74)/10). Suppose 0 = -i*w + 7536 - 2126. Is w a prime number?", "a": "True" }, { "q": "Suppose 4*w = 8, 0*g - 4*w - 202 = -2*g. Suppose 0 = 3*h - 8*h + g. Suppose 36 = 3*s - h. Is s a prime number?", "a": "True" }, { "q": "Let l(t) = t**2 - 5*t + 12. Let c be l(7). Let a be 31174/c*3*(-1)/(-1). Suppose 4*m - a = -5*p, 0 = -2*p - 1 + 11. Is m composite?", "a": "True" }, { "q": "Suppose 10*n = -3*x + 5*n + 16336, 5*x = -4*n + 27231. Is x prime?", "a": "False" }, { "q": "Let p(n) = -431*n + 1. Let k be p(-3). Let d = k - -1683. Is d composite?", "a": "True" }, { "q": "Let j(f) = -252*f**3 - f**2 - 2*f - 2. Let t(o) = -o**2 - 6*o - 1. Suppose 5*y + 45 = 15. Let d be t(y). Is j(d) prime?", "a": "True" }, { "q": "Let g(k) be the first derivative of -k**4/2 - 3*k**3 - 9*k**2/2 + 3*k + 38. Is g(-7) prime?", "a": "True" }, { "q": "Let s be ((0 + 0)/(4/(-1)))/(-2). Suppose s = 10*h + 9507 - 57017. Is h prime?", "a": "True" }, { "q": "Let s(f) = 2*f**3 - 11*f**2 - 40*f + 17. Is s(22) a composite number?", "a": "True" }, { "q": "Let k(w) = 13*w + 62. Let u(b) = -50*b - 247. Let i(d) = -9*k(d) - 2*u(d). Is i(-7) prime?", "a": "False" }, { "q": "Let t be -2 + 5 - (-18)/4*-2. Let a be 5996/t*(-10)/(120/18). Suppose 2*h - 1106 = -u + a, 3*u - 7823 = -2*h. Is u a composite number?", "a": "False" }, { "q": "Let k = -60 + 34. Let o = k + 25. Let r = o - -203. Is r a prime number?", "a": "False" }, { "q": "Let n(c) = -272*c - 36. Let y be n(-12). Suppose 0 = 5*u + d - y, -1281 = -2*u + 4*d - d. Let w = 506 + u. Is w composite?", "a": "False" }, { "q": "Let l(c) = -c**2 + 10*c - 28. Let k be l(6). Is 51*11 + 8/k + 4 a composite number?", "a": "False" }, { "q": "Suppose 4*t = 2*x + 232, 0*x - 290 = -5*t + 3*x. Suppose 2*w = t + 28. Let f = w + 120. Is f composite?", "a": "False" }, { "q": "Suppose 3*p + 0*p = -p. Suppose p = 5*t - 32434 - 30591. Is t prime?", "a": "False" }, { "q": "Let b(u) = -2*u + 5. Let l be b(0). Suppose -3*f + 2855 = 3*j - 826, l*j - 6135 = -2*f. Is j a composite number?", "a": "True" }, { "q": "Let m(f) = 147*f + 9. Let g be m(4). Let d be (-1)/(8474/(-2118) - -4). Suppose -d = -t - 2*z, -g = -t - 3*z + 467. Is t composite?", "a": "False" }, { "q": "Suppose 0 = -m - y + 399 + 417, -2*m + 1626 = -4*y. Let h = -3004 + 4635. Suppose 3*w = 2*x - m, 0*w + 5*w = 4*x - h. Is x a prime number?", "a": "True" }, { "q": "Let y(j) = 0*j**2 + j**2 + 6 + 16 + 108*j - 124*j. Is y(27) prime?", "a": "False" }, { "q": "Is 3/6*(33 - -23005) a composite number?", "a": "False" }, { "q": "Let n(g) = 4 + 7 + 2*g + 65*g**2 + 32*g**2. Let z be n(-5). Let a = z - 1435. Is a a prime number?", "a": "True" }, { "q": "Suppose -o = -0*b + b - 154, -25 = -5*o. Let y(s) = s**3 + 12*s**2 - 7. Let p be y(-9). Let x = p - b. Is x prime?", "a": "False" }, { "q": "Is ((-9999920)/42)/(-20) - (-4)/3 composite?", "a": "True" }, { "q": "Suppose -4*i - 2*t = -3*t - 844, -2*i + 2*t + 416 = 0. Suppose i + 205 = 3*h. Suppose 458 + h = 3*c + 2*r, 0 = 2*c + 5*r - 398. Is c a composite number?", "a": "False" }, { "q": "Let p = 218 - 216. Suppose 4*u - 2526 = -p*m, -4*m = -2*u + u - 5034. Is m a prime number?", "a": "True" }, { "q": "Let k(w) = 9*w**2 + 33*w + 17. Let f(y) = 13*y**2 + 50*y + 26. Let o(c) = 5*f(c) - 7*k(c). Let h be o(-9). Suppose h*s - 176 = -6*s. Is s prime?", "a": "False" }, { "q": "Let y = 21888 + 5473. Is y a composite number?", "a": "False" }, { "q": "Suppose -82767 = -3*q + w, q - 36687 = 4*w - 9098. Is q a prime number?", "a": "False" }, { "q": "Let g = -41 + 21. Let c = 16 + g. Is -1*1574/c*2 a prime number?", "a": "True" }, { "q": "Suppose 6*i - 1820 + 17606 = 0. Let n = 4388 + i. Is n a composite number?", "a": "True" }, { "q": "Suppose -5*d + 5 + 5 = 0. Suppose 10*n - 8 = 12*n. Is 6695/10 + d/n prime?", "a": "False" }, { "q": "Suppose -5*q = -5*o + 80, 2*o = -4*q + 29 - 3. Let p(h) = -h**3 + 16*h**2 - 14*h - 13. Let u be p(o). Is ((-557)/2)/(u/(-4)) a composite number?", "a": "False" }, { "q": "Let w(a) = -289*a + 3943. Is w(0) a composite number?", "a": "False" }, { "q": "Suppose 6*h + 1260742 = 25*h - 5*h. Is h a prime number?", "a": "True" }, { "q": "Let x = 6304 - -28129. Is x a prime number?", "a": "False" }, { "q": "Suppose -9*q + 1588642 = 8*q + 5*q. Is q prime?", "a": "True" }, { "q": "Let a be 1/(-1 + 2)*0. Let d(p) = -11. Let u(x) = 2*x + 348. Let i(r) = -5*d(r) + u(r). Is i(a) a composite number?", "a": "True" }, { "q": "Let n be (11 - 1) + 3/3. Let x(i) = -42 - 2*i**3 - i**3 + 4*i**2 + 47 - n*i. Is x(-5) a composite number?", "a": "True" }, { "q": "Let s = -2257 - 285. Let p = s - -4345. Suppose -5*t + 2*u = -p, -4*t + 4*u + 1440 = 3*u. Is t composite?", "a": "False" }, { "q": "Suppose -3*u + 61964 = 4*d, -3*d + 5512 = -2*u - 40961. Is d a composite number?", "a": "True" }, { "q": "Suppose -4*d + 5*i + 13 = 0, 0 = -5*d + 2*i + 1 + 11. Suppose -j - 20 = -5*g, -4*g + 0*j + 22 = -2*j. Is (-1)/(g/(-558)) + d + -1 a prime number?", "a": "False" }, { "q": "Let h = 15165 - 9551. Suppose 5*f - h = -2*y, -2*y = 4*f - 4072 - 1542. Is y a composite number?", "a": "True" }, { "q": "Let n(j) = 141175*j**2 + 27*j - 29. Is n(1) prime?", "a": "False" }, { "q": "Is (-17)/(374/224565)*-9 + (-1)/2 prime?", "a": "True" }, { "q": "Let b = -269 + 95. Let s = 73 - b. Is s composite?", "a": "True" }, { "q": "Let o = 11 + -9. Let t(k) = -361*k**3 - 7*k**2 - 8*k + 6. Let r(f) = 181*f**3 + 3*f**2 + 4*f - 3. Let u(h) = 9*r(h) + 4*t(h). Is u(o) composite?", "a": "False" }, { "q": "Let m(z) = -z**3 - 26*z**2 + 21*z + 59. Suppose 3*i + 20 + 5 = -q, -5*q - i = 139. Is m(q) a prime number?", "a": "True" }, { "q": "Let m = -214 - -222. Is (152 - 1)/(m + 161/(-21)) composite?", "a": "True" }, { "q": "Suppose -2*h - 2*f = -6*f - 144, -h - 2*f + 80 = 0. Let v = h - -1. Is v a composite number?", "a": "True" }, { "q": "Let m = 92409 - 23642. Is m prime?", "a": "True" }, { "q": "Is (2/(-6))/((0 - -1) + (-1982016)/1981989) a prime number?", "a": "True" }, { "q": "Let m(c) = c**2 + c + 1. Let n(g) = 3*g + 30. Let f be n(-9). Let b(k) = -2*k**2 + 4*k - 2. Let r(o) = f*m(o) + b(o). Is r(18) a composite number?", "a": "True" }, { "q": "Let t = 90 + -93. Suppose 3*k + 0*k + 3180 = 0. Is t/((-2108)/k - 2) composite?", "a": "True" }, { "q": "Suppose 0 = -5*s + 3*g + 4549, g = 4*s - 1793 - 1849. Is s composite?", "a": "False" }, { "q": "Let z(h) = 9463*h - 166. Is z(9) a prime number?", "a": "False" }, { "q": "Suppose 0 = -2*r + 5*t - 25, 13*r - 3*t = 12*r - 11. Let i(v) be the second derivative of -37*v**3/6 + 3*v**2 + v. Is i(r) prime?", "a": "False" }, { "q": "Is -1 - (306732 + -6)/(-3) prime?", "a": "True" }, { "q": "Suppose 3*j + 1184 = -4*s, -3*j - j = 3*s + 1574. Is 168/j - (194396/14)/(-1) composite?", "a": "True" }, { "q": "Suppose 0 = -2*f - j, 4*j - 6*j = -5*f. Suppose 2*x - 5*m - 927 = f, m = 4*x + 4*m - 1893. Is x composite?", "a": "True" }, { "q": "Suppose -9*y - 5 = -10*y, 2*y + 108275 = 5*s. Is s a prime number?", "a": "False" }, { "q": "Suppose -4*a - 3*q = -3567, 826 = a - 5*q - 37. Suppose t = -0*t - 5*f - 284, -3*t = -3*f + a. Let g = t - -691. Is g a composite number?", "a": "False" }, { "q": "Suppose -6*y = 2*y - 40. Let z be (0/(1 - -3))/(-2). Suppose 5*k = -y*o + k + 2955, z = -3*k + 15. Is o a composite number?", "a": "False" }, { "q": "Let d(f) = -873*f - 27. Let c be d(-5). Let b be (c/12)/((15/(-4))/5). Let p = b - -801. Is p a prime number?", "a": "False" }, { "q": "Suppose -5*j = 5*q - 155, -4*q - q + 128 = 4*j. Suppose -3*d + 3 = -j. Is ((-1304)/(-10))/(4/d) a composite number?", "a": "True" }, { "q": "Let b = -863 + 2784. Is b prime?", "a": "False" }, { "q": "Let o = -20466 - -94989. Is o composite?", "a": "True" }, { "q": "Suppose 22843 = -5*b + 2*q + 126694, 0 = 3*b - 3*q - 62307. Is b prime?", "a": "True" }, { "q": "Suppose y = -3*y + 92. Suppose -4*o + y - 3 = 0. Suppose -i = 5*r - 760, i - 5*i + 3115 = o*r. Is i a composite number?", "a": "True" }, { "q": "Let w = -47 - -48. Suppose -5*h - 139 = w. Let j = h - -141. Is j a prime number?", "a": "True" }, { "q": "Let f(y) = 35*y**3 - 13*y**2 - 8*y + 4. Let p(b) = -9*b**3 + 3*b**2 + 2*b - 1. Let d(s) = 2*f(s) + 9*p(s). Let m = 77 - 79. Is d(m) a prime number?", "a": "False" }, { "q": "Suppose 0 = -8*f - 2950 + 7222. Is ((-130)/(-15))/(4/f) a prime number?", "a": "False" }, { "q": "Let v = 1068 + 1721. Is v composite?", "a": "False" }, { "q": "Let z(s) = -s**3 - 9*s**2 + 22*s + 1. Let r be z(-11). Let n = -24 + 26. Suppose -b = r, n*b + 645 = v + 4*b. Is v composite?", "a": "False" }, { "q": "Let p(k) = -62*k + 1. Let w be p(-7). Suppose -4*n + w = -4*i + 5*i, 0 = -2*i - n + 842. Is i prime?", "a": "True" }, { "q": "Suppose 39079 = 5*u + 3*c, -2*u + c = -25687 + 10051. Is u a prime number?", "a": "True" }, { "q": "Let a = -536354 + 973623. Is a a prime number?", "a": "False" }, { "q": "Let f(n) = -2*n**2 + 48*n + 2. Let d be f(24). Suppose -4*c - 2*x + 6398 = 0, d*c + c + x - 4796 = 0. Is c a composite number?", "a": "False" }, { "q": "Let n(x) = 33*x**2 + 2*x - 1. Suppose -5*i + 41 + 19 = 0. Suppose 5*b + 2*c + i = 0, 3*b + 5*c = 5*b - 1. Is n(b) a prime number?", "a": "True" }, { "q": "Suppose 17*f + 56 = 10*f. Is f/(-28) + 24874/14 a composite number?", "a": "False" }, { "q": "Let g(k) be the third derivative of k**5/30 + 5*k**4/24 + 2939*k**3/6 + 2*k**2 + 27. Is g(0) composite?", "a": "False" }, { "q": "Let y(b) = -4*b**2 - b - 5*b**2 + 4*b - b**3 + 7*b**2. Let v be y(-3). Suppose 6*l + 68 - 566 = v. Is l composite?", "a": "False" }, { "q": "Let s be (-1)/(1 + (-138)/137). Suppose -8*m - 751 = -719. Let f = s + m. Is f prime?", "a": "False" }, { "q": "Let x = 12301 - 7574. Is x a composite number?", "a": "True" }, { "q": "Let b = 45 + -39. Let q = b + -10. Is 1*q*2589/(-24)*2 prime?", "a": "True" }, { "q": "Suppose 4*k - 3*n + 8*n - 276004 = 0, 3*k - 207003 = -2*n. Is k prime?", "a": "True" }, { "q": "Let z = -47 - -47. Let r be (z - (-1 - -1))/(3 - 4). Suppose r = -6*o - 2*o + 12296. Is o prime?", "a": "False" }, { "q": "Suppose b + 3*b - 4*d = 28, -2*b + 22 = -4*d. Suppose 0*n = b*n - 2*n. Suppose 4*z + 99 - 1615 = n. Is z prime?", "a": "True" }, { "q": "Let z be 3/(-21) - 3/(-21). Let f be 2/(-4)*0/(-11). Suppose z = -f*u + 2*u - 62. Is u prime?", "a": "True" }, { "q": "Is -5 + 9 - 10 - (-80275 + 2) a composite number?", "a": "True" }, { "q": "Is ((-3)/(-6))/(40/52240) prime?", "a": "True" }, { "q": "Let z be (48/11)/(-2) + 40/220. Let a(v) be the second derivative of -31*v**5/10 + v**4/12 - v**3/6 + 3*v**2/2 - 3*v. Is a(z) a prime number?", "a": "False" }, { "q": "Let l(h) = h**3 + 7*h**2 + 5*h + 4. Suppose 10*m = 5*m - 30. Let p be l(m). Is (-11572)/(-55) - (-6)/p prime?", "a": "True" }, { "q": "Let c = -446 + -40. Is (-3)/(-6)*(-8 - c) a composite number?", "a": "False" }, { "q": "Let t(c) = 1063*c - 25. Suppose 3*o + 30 = 8*o. Is t(o) a prime number?", "a": "True" }, { "q": "Let n = 355 + -352. Let s(p) = 5*p**3 - 3 + 15*p**3 - 2*p**2 + 6*p**2. Is s(n) a prime number?", "a": "False" }, { "q": "Let y(g) = 2*g**2 + 11*g + 3. Let j be y(-6). Suppose 124823 = j*w + 3656. Is w prime?", "a": "True" }, { "q": "Suppose 26 + 4 = 3*z. Suppose -z*p = -11*p + 1. Is (4/(-6))/(p/(-21)*2) a composite number?", "a": "False" }, { "q": "Is 67059 - ((2 - 1) + -8 + 9) a composite number?", "a": "False" }, { "q": "Suppose -7*j + 67 = 11. Let g be 2/2 - 0 - (-89072)/j. Suppose 0*d - g = -5*q - 3*d, 4*q + 3*d = 8908. Is q a prime number?", "a": "False" }, { "q": "Suppose -2*w = -11*y + 10*y - 59701, -3*w = -2*y - 89551. Is w prime?", "a": "True" }, { "q": "Suppose -2*j + 8*j = 18. Suppose -m + 4*q + 10 = 0, m + 5 = j*q - 4*q. Is (-11)/(-22)*(m + 246) prime?", "a": "False" }, { "q": "Suppose 4*q + q - 34 = 3*b, 5*q + 5*b = 50. Let p(l) be the second derivative of l**3 + 5*l**2/2 - l. Is p(q) prime?", "a": "True" }, { "q": "Let h = 121 + -132. Is h + 6 + 1629 + -3 a prime number?", "a": "True" }, { "q": "Is (-5730)/12*(456/(-30))/2 prime?", "a": "False" }, { "q": "Let u(o) = 76*o - 49. Let v(p) = -152*p + 97. Let s(j) = 13*u(j) + 6*v(j). Is s(9) a composite number?", "a": "True" }, { "q": "Suppose 0 = 9*p - 30*p + 349377. Is p prime?", "a": "False" }, { "q": "Let r = 846 + -1517. Let j(k) = 199*k + 5. Let c be j(5). Let o = r + c. Is o prime?", "a": "False" }, { "q": "Let z(l) = 81*l - 1. Let j(g) = 81*g - 1. Let f(p) = 5*j(p) - 4*z(p). Let i(w) = -40*w + 1. Let d(n) = -6*f(n) - 11*i(n). Is d(-7) prime?", "a": "True" }, { "q": "Is 622781*(2 + 22/(-12))/(5/30) composite?", "a": "False" }, { "q": "Let y(t) = 12375*t - 2039. Is y(6) a composite number?", "a": "False" }, { "q": "Let f(w) = -326*w**2 - 6*w - 3. Let i be f(-2). Let t = i + -398. Let m = -638 - t. Is m a prime number?", "a": "False" }, { "q": "Suppose 21 = -3*t - 4*g, 3*g + 6 + 18 = -5*t. Let p be (-3)/t*10 + 2. Is 3*8/p*2 composite?", "a": "True" }, { "q": "Let u(w) = 6*w - 44. Let y be u(10). Let b(t) = 15*t**3 + t**2 - t - 1. Let q be b(-1). Is (-15614)/q - y/56 a composite number?", "a": "True" }, { "q": "Is (-411960)/(-30) - (2 + -9) prime?", "a": "False" }, { "q": "Let m(g) = -665*g + 17. Let r be m(12). Let n be (-12)/20 - r/5. Suppose 5*b + 1631 - 466 = 3*q, -n = -4*q - 3*b. Is q composite?", "a": "True" }, { "q": "Suppose -21*n = -25*n - 8. Is (2335 - 2)/((-2)/n) a composite number?", "a": "False" }, { "q": "Let t be (28/8)/7*6 - 4. Let g(k) = 912*k**2 + 4*k + 3. Is g(t) composite?", "a": "False" }, { "q": "Let t(d) = -d + 6. Let q be t(3). Suppose -6*f - q*j - 19 = -2*f, -2*f + 23 = -5*j. Is (-4 - -130) + f/(-1) a composite number?", "a": "False" }, { "q": "Let y = -27 - -31. Suppose -y*q = -5*a + 4547, -8*a + 5*q = -4*a - 3643. Is a a prime number?", "a": "True" }, { "q": "Let p(b) = -1053*b - 295. Is p(-2) a composite number?", "a": "False" }, { "q": "Let c = 3824 - 786. Let s = c + 951. Is s composite?", "a": "False" }, { "q": "Let l be (-8844)/((-9)/3) + 4. Suppose v + 3*v = -l. Let c = -247 - v. Is c a prime number?", "a": "True" }, { "q": "Suppose 2*u + 4305 = -2*w + u, w + 2139 = -5*u. Let j be w/(-21) + (-20)/35. Let l = 187 - j. Is l prime?", "a": "False" }, { "q": "Let j(q) = q**3 + 72*q**2 - 18*q + 195. Is j(-64) a prime number?", "a": "False" }, { "q": "Let y(k) = 2*k**3 - 4*k**2 + 7*k + 9. Let r be y(5). Let h = r - 141. Is h composite?", "a": "False" }, { "q": "Let o(u) = 17270*u - 3. Let v be o(18). Suppose -q = -y - 62173, -5*q - 6*y + 3*y + v = 0. Is q/(-54)*3/(-2) composite?", "a": "True" }, { "q": "Let k = 173 - 155. Let c(q) = 43*q + 79. Is c(k) a composite number?", "a": "False" }, { "q": "Suppose 5*q = -3*q + 352. Let b be q/10 - 4 - (-22)/(-5). Is 0 - (b/(-10) + (-2114)/10) a composite number?", "a": "False" }, { "q": "Suppose 0 = -8*u - 10989 + 81013. Is u composite?", "a": "False" }, { "q": "Let l(a) be the second derivative of 5*a**4/12 + 2*a**3/3 + 3*a**2 + 13*a. Let n be l(12). Let i = -53 + n. Is i a prime number?", "a": "False" }, { "q": "Suppose -1110718 = -935*l + 913*l + 1495248. Is l prime?", "a": "True" }, { "q": "Let n = -4063 - -12474. Is n a composite number?", "a": "True" }, { "q": "Let d(g) = 7*g**3 - 24*g**2 + 84. Is d(19) prime?", "a": "False" }, { "q": "Let r(m) be the first derivative of -197*m**4/12 - m**3/6 - 5*m**2 - 15. Let o(q) be the second derivative of r(q). Is o(-2) prime?", "a": "True" }, { "q": "Suppose 29*v - 11426117 = -30*v. Is v composite?", "a": "False" }, { "q": "Let s(i) = 72*i**2 - 37*i - 1102. Is s(-35) composite?", "a": "True" }, { "q": "Let l(g) = 1137*g**2 - 6*g + 56. Is l(-11) a prime number?", "a": "True" }, { "q": "Let g = -2892 - -1635. Let r = 418 - 422. Is -1*r/(-12)*g composite?", "a": "False" }, { "q": "Let v(j) = 282*j - 29. Let z(t) = 2*t + 4. Let x be z(3). Let s be v(x). Let l = -1692 + s. Is l a composite number?", "a": "True" }, { "q": "Let u(h) = -50*h**2 + 11*h - 5. Let n be u(4). Let l = n + 2034. Is l a composite number?", "a": "True" }, { "q": "Suppose 19 = s + 16. Let g be 12 - 4 - 12/s. Is (3 + 642/g)/(2/4) a prime number?", "a": "False" }, { "q": "Is (-822866)/(-14) - (-7)/((-245)/(-30)) a prime number?", "a": "False" }, { "q": "Suppose -12727 = -7*y + 18*y. Let j = 792 - y. Is j a prime number?", "a": "True" }, { "q": "Let b(i) be the second derivative of -i**8/192 + i**6/720 + i**5/120 - 5*i**4/6 + 18*i. Let u(f) be the third derivative of b(f). Is u(-1) a prime number?", "a": "False" }, { "q": "Let l be ((-110)/(-25))/((-2)/5). Let u(o) = 4*o**2 - 7*o - 24. Let g be u(l). Suppose 5*f = 2*f + g. Is f a prime number?", "a": "True" }, { "q": "Let g be (75/(-9) + 8)/(1/(-12)). Suppose -g*v = -1855 - 2173. Is v a prime number?", "a": "False" }, { "q": "Let y(k) = 106*k + 44. Let t be y(8). Let x = t + -513. Is x composite?", "a": "False" }, { "q": "Let u be -36 + 36 + (-4201)/(-1). Let s = u - 638. Is s a composite number?", "a": "True" }, { "q": "Let m = -164096 + 283419. Is m composite?", "a": "True" }, { "q": "Suppose -10*s - 552326 = -4*m - 8*s, 552341 = 4*m + 3*s. Is m a composite number?", "a": "True" }, { "q": "Suppose 15*d - 693180 = 499785. Is d a prime number?", "a": "True" }, { "q": "Suppose 4*o + 116391 = 3*f + 5*o, 0 = 4*f - 5*o - 155188. Is f a prime number?", "a": "False" }, { "q": "Let p(r) = 20*r**2 - 4. Let y be p(3). Let u = y + 57. Is u prime?", "a": "True" }, { "q": "Suppose -15*u + 133258 + 62387 = 0. Is u prime?", "a": "True" }, { "q": "Suppose 12 = 3*z + z - 5*v, 5*v - 12 = -4*z. Suppose -k + 3*u + 14 = 0, -z*u = -2*k + 13 + 3. Suppose 0 = 2*r + k*y - 900, 478 - 25 = r - 2*y. Is r prime?", "a": "False" }, { "q": "Let l(w) = 2*w - 14. Let h be l(11). Let d be (2/h)/((-13)/(-156)). Suppose 5*k + d*s - 4529 = 0, -k = 4*s - s - 901. Is k prime?", "a": "True" }, { "q": "Let b = 206918 + -145635. Is b a composite number?", "a": "False" }, { "q": "Suppose -2*t - 2198 = 2*v, -3*t + 452 = 2*v + 3751. Let l = 1963 - -2545. Let a = l + t. Is a prime?", "a": "True" }, { "q": "Suppose 2*p = 7*p - 25. Let k(s) be the third derivative of 67*s**4/24 + s**3/3 - s**2 + 226*s. Is k(p) a prime number?", "a": "True" }, { "q": "Is ((-9257 + 0)/(-1 - 0))/1 a composite number?", "a": "False" }, { "q": "Suppose 2*t - 2*r = 4842, 46*t + 5*r + 9688 = 50*t. Is t composite?", "a": "False" }, { "q": "Suppose 3*u - 78 = 3*z, -4*u + 10 = -2*u. Suppose -5*x = 3*n + 242 - 732, 0 = 5*x - 2*n - 490. Let k = x + z. Is k composite?", "a": "True" }, { "q": "Suppose -4*v + 494353 = -9*y, -4*v + 32*y - 31*y + 494313 = 0. Is v prime?", "a": "False" }, { "q": "Let s be (3 + 0 + 0)*(-48)/(-72). Suppose s*d = -3*o + d + 13328, 0 = 5*o + 2*d - 22215. Is o prime?", "a": "True" }, { "q": "Suppose 81*x - 2344632 - 3476913 = 4684722. Is x a prime number?", "a": "True" }, { "q": "Let i be 36/(-24) - 1*6/(-4). Suppose i = d - l - 951, d + d = l + 1904. Is d a composite number?", "a": "False" }, { "q": "Let o(k) = -433 - 9*k**2 - 2*k + 2166 + 2*k**2. Is o(0) a prime number?", "a": "True" }, { "q": "Let b(q) = 473*q - 8. Let s(t) = -236*t + 4. Let m(u) = 2*b(u) + 5*s(u). Let j be m(-1). Let d = 321 + j. Is d a composite number?", "a": "True" }, { "q": "Let c(r) = 31*r + 27. Let l(t) = -32*t - 28. Let s(y) = -3*c(y) - 2*l(y). Suppose -14 - 4 = 3*z. Is s(z) prime?", "a": "True" }, { "q": "Let z(m) = -509*m - 23. Let k = 58 - 66. Is z(k) a composite number?", "a": "False" }, { "q": "Suppose 2*z + 10 = -3*t, -4*z - 6 - 14 = 4*t. Suppose n + 162 = 4*n. Suppose -3*s + n + 93 = t. Is s a prime number?", "a": "False" }, { "q": "Suppose s + 9 = 2*a, -5 = -3*a - 2*a - s. Suppose -o + 7 = -t + 3*t, 0 = -3*t + a*o. Suppose -5*g + 1599 = 2*q, -t*g + 15 = 5. Is q a prime number?", "a": "True" }, { "q": "Suppose 9*l = 16*l + 39389. Let o = -2490 - l. Is o prime?", "a": "True" }, { "q": "Suppose 4 = t + 2*s - 7, -4*t + 8 = -s. Suppose r - 2745 = -4*j, -j = r - t*r + 5517. Is r a prime number?", "a": "False" }, { "q": "Let m(b) = b**3 + 51*b**2 - 112*b - 671. Is m(-45) a composite number?", "a": "False" }, { "q": "Let r be (-1)/2 - (-2 + (-7)/(-2)). Let j be ((-1)/r)/((-3)/(-5688)*-3). Is -5*((-2)/20)/((-1)/j) composite?", "a": "True" }, { "q": "Suppose -6*b - 8 = -4*b - 4*u, 2*b = -5*u - 8. Let m be 17/(-3) + (-4)/(-6). Is ((-1)/b - (-165)/(-100))*m a composite number?", "a": "False" }, { "q": "Let k = 72820 + -7143. Is k composite?", "a": "False" }, { "q": "Suppose -2*s + 2*m = -98106, -2*s - 116*m + 98126 = -113*m. Is s prime?", "a": "True" }, { "q": "Let n = -31 - -7. Let a = n + 28. Suppose 6*x - a*x = 26. Is x composite?", "a": "False" }, { "q": "Let h(r) = 4*r**2 + r + 6*r - 3*r. Let z be h(-2). Suppose 3*d + 530 = z*d + 5*b, 5*b + 25 = 0. Is d a prime number?", "a": "False" }, { "q": "Suppose 0 = 70*o - 75*o + 50. Let j(l) = 28*l**2 - 17*l + 41. Is j(o) prime?", "a": "True" }, { "q": "Let y(h) = 11 - 22 + 4 + 95*h**2. Is y(-4) composite?", "a": "True" }, { "q": "Suppose 560 = 8*n - n. Suppose n*f - 79*f = 501. Is f a composite number?", "a": "True" }, { "q": "Let d(b) = b**3 + 44*b**2 + 24*b - 40. Let h be d(-18). Suppose 60 = -4*j + h. Is j prime?", "a": "True" }, { "q": "Suppose 9*g + 4 = 31. Suppose g*l = -4*l + 2079. Suppose t = p + 722, l = -2*t - 3*p + 1721. Is t prime?", "a": "False" }, { "q": "Let s(i) = 795*i - 50. Let b be s(-4). Let u = 6327 + b. Is u a composite number?", "a": "True" }, { "q": "Suppose -15*w + 7*s + 22620 = -13*w, -22598 = -2*w - 4*s. Is w a composite number?", "a": "True" }, { "q": "Suppose -9*o + 1599090 - 473721 = 0. Is o composite?", "a": "True" }, { "q": "Let c(j) = -j**2 + 9*j. Let k be c(7). Let q = -4 + k. Suppose 5*m + 1955 = q*m. Is m composite?", "a": "True" }, { "q": "Let x(m) = 9*m - 15*m + 13*m - 3. Let t be x(1). Is -622*(-3)/t + (-1)/(-2) a prime number?", "a": "True" }, { "q": "Let c(a) = -a**2 - 4*a + 7. Let v be c(0). Let k(n) = -n + 5. Let y be k(v). Is 2 + (y - -1*533) composite?", "a": "True" }, { "q": "Suppose -6576 = -2*n + 5*s, 0 = -2*n - 7*s + 8*s + 6584. Is n a prime number?", "a": "False" }, { "q": "Let z = 146 - 149. Is z*13/(-6)*458 composite?", "a": "True" }, { "q": "Is ((-3)/(-27) + (-39)/108)/(2/(-159592)) a composite number?", "a": "False" }, { "q": "Let b(g) = -5 + 113*g + 13 + 12 + 5. Let v be b(-5). Let q = -19 - v. Is q a prime number?", "a": "True" }, { "q": "Is ((-1)/4)/((-2)/503320*5) prime?", "a": "True" }, { "q": "Suppose -10*n + 3*w + 17 = -12*n, 3*n - 12 = 3*w. Let u(m) = -5081*m + 6. Is u(n) a prime number?", "a": "True" }, { "q": "Let u(q) = 347398*q + 91. Is u(1) prime?", "a": "True" }, { "q": "Let m(h) = 3*h**3 + 3*h**2 - 2*h - 1. Let x be m(1). Suppose 0 = -4*j - a - 961 + 3893, -x*j + 2199 = 5*a. Is j a composite number?", "a": "False" }, { "q": "Suppose -76*d + 141593 = -75*d. Is d prime?", "a": "False" }, { "q": "Is ((-57)/15 - -4) + 3124656/45 a composite number?", "a": "True" }, { "q": "Let h be (-12739)/(-2) + 1/2. Suppose 240 = 101*u - 63. Suppose h = u*m - 5459. Is m prime?", "a": "True" }, { "q": "Let a be 81/12 + 1/4. Suppose a*h - 11*h + 16 = 0. Is 3/(36/951) + (-1)/h a prime number?", "a": "True" }, { "q": "Let f be 2/6 - (-64)/6. Let t(n) = -n**2 + 10*n + 30. Is t(f) prime?", "a": "True" }, { "q": "Let o(i) = 15*i**3 - 6*i - 7. Is o(5) a composite number?", "a": "True" }, { "q": "Suppose -2*n - 5*s - 5 = 0, -3*n + 37 = s + 38. Let a = 148 + -89. Suppose -2*f = 3*k + 2*k - 259, k - 2*f - a = n. Is k a prime number?", "a": "True" }, { "q": "Suppose 0 = -4*r - 5*r + 81. Suppose -5*q = -5*v + 7540, 11*v + 3*q - 3031 = r*v. Is v a composite number?", "a": "False" }, { "q": "Let c(v) = -v**3 - 8*v**2 + 8*v. Let f be c(-9). Suppose -f*q - 2*x = -6*q - 4427, -2*q + x + 2942 = 0. Is q prime?", "a": "False" }, { "q": "Let b = -53 - -975. Let d = 943 + b. Is d a composite number?", "a": "True" }, { "q": "Let n(z) = 2*z**2 - 3*z + 4. Let w be n(5). Let r = -34 + w. Suppose -16 + 111 = r*v. Is v a prime number?", "a": "True" }, { "q": "Let s = -8979 + 26222. Is s a composite number?", "a": "True" }, { "q": "Suppose 8*m = 9*m - 3*m. Suppose -b + 72 - 53 = m. Is b composite?", "a": "False" }, { "q": "Let f(j) = -400*j - 22. Let r be f(-5). Suppose 4*g = -2*p + 28, -2*g + 3*p + 23 = 1. Suppose r - 482 = g*l. Is l composite?", "a": "True" }, { "q": "Let w = 173 + 8. Suppose w = j - 30. Is j prime?", "a": "True" }, { "q": "Suppose -85*u + 3962941 = 1103286. Is u a composite number?", "a": "True" }, { "q": "Is (-3812354)/(-208) - 3/(-8) a composite number?", "a": "False" }, { "q": "Let c = 173274 + -78527. Is c composite?", "a": "False" }, { "q": "Suppose 35*l - 22613435 = -30*l. Is l a prime number?", "a": "True" }, { "q": "Let z = -497 + 1356. Suppose 4 = -o - 0, -2*o - 58 = -5*n. Suppose z = n*b - 3631. Is b a prime number?", "a": "True" }, { "q": "Suppose -775916 + 1947056 = -70*z + 10950490. Is z a prime number?", "a": "False" }, { "q": "Suppose u - b - 2 = -5*b, -7 = -2*u - 5*b. Suppose 10 = 11*j - u*j. Suppose j*x - 91 - 523 = 0. Is x a prime number?", "a": "True" }, { "q": "Suppose -l = -5, -11921 = -u + 3*l + 17685. Is u prime?", "a": "False" }, { "q": "Suppose -y + 1 = 0, -21 = -5*f - 0*y - y. Suppose -f*d - 5*g = -1056 + 298, 0 = -5*d - 2*g + 939. Is d composite?", "a": "True" }, { "q": "Is (345140/(-70))/((-2)/7) a composite number?", "a": "False" }, { "q": "Let q be ((-124240)/50)/(2/(-10)). Let f = q - 6227. Is f prime?", "a": "True" }, { "q": "Suppose -9*y = -10*y + 2. Suppose y*f + 4*h + 62 = 0, 4*h - 10 = 4*f + 138. Is (-10)/f - 3113/(-7) a prime number?", "a": "False" }, { "q": "Suppose -2*u = -4*u + 18. Suppose -49 = -u*q - 4. Let l(v) = 91*v + 8. Is l(q) a composite number?", "a": "False" }, { "q": "Let d(h) be the second derivative of -16*h**3/3 - 23*h**2/2 + 7*h. Let z be d(-12). Suppose 2*r = r + z. Is r a composite number?", "a": "True" }, { "q": "Let k(q) = -6296*q - 187. Is k(-4) composite?", "a": "True" }, { "q": "Let n(h) = 2*h**3 - h**2 - h + 70. Let w be ((-2)/8 + (-1)/(-4))/(-3). Let s be n(w). Let l = 45 + s. Is l a composite number?", "a": "True" }, { "q": "Suppose 0 = 4*y + 14 + 2. Is 5/20*y - -663 prime?", "a": "False" }, { "q": "Let s = 13 - 11. Suppose 0 = 3*w + 3, u - 1 = -0*u - s*w. Suppose a - g = 1315, u*a - 5256 = -a + 5*g. Is a composite?", "a": "False" }, { "q": "Let p(r) = 3*r - 9. Let h be p(4). Suppose h*s = -4*m - 3347, -s - m + 5586 = -6*s. Let n = s + 2176. Is n prime?", "a": "False" }, { "q": "Let g be 8/(-16) + 18/4. Suppose 5*r = g*z + 510, -2 = -2*r - 6. Let o = 321 + z. Is o a prime number?", "a": "True" }, { "q": "Let x = 2660 + -1888. Suppose -417 = -4*c + t + 2755, 5*t - x = -c. Suppose -2*u + 838 = -c. Is u prime?", "a": "False" }, { "q": "Let u(a) = 7482*a**2 + 31*a - 36. Is u(1) a composite number?", "a": "False" }, { "q": "Suppose -n + 2*n = -567. Let j be ((-9972)/24)/(6/16). Let a = n - j. Is a a prime number?", "a": "True" }, { "q": "Let z(i) = -25*i**2 - 8*i - 3. Let s(x) = -26*x**2 - 7*x - 2. Let w(n) = -6*s(n) + 5*z(n). Let t be 4/(-20) - 57/15. Is w(t) a composite number?", "a": "True" }, { "q": "Is -1*(-22505 + 5 + -3 + 2) a prime number?", "a": "True" }, { "q": "Let w(l) = l**3 + 15*l**2 - 104*l - 15. Is w(-14) a prime number?", "a": "True" }, { "q": "Let x(b) = -b + 312. Let a be x(0). Let z = 2928 + -518. Suppose -a - z = -2*t. Is t a prime number?", "a": "True" }, { "q": "Suppose 0 = 3*m - 14 + 62. Let c be (-2 - (-244)/m)*(-144)/(-2). Is (-1)/(14/c) - 8/(-28) a prime number?", "a": "True" }, { "q": "Let u(r) = 229*r**2 - 6*r - 7. Let f be u(-2). Suppose o + 3*o + 3*b = 3684, 0 = o - 3*b - f. Is o prime?", "a": "False" }, { "q": "Let t = 27 - 27. Suppose 0*n - n - 100 = t. Let r = -15 - n. Is r composite?", "a": "True" }, { "q": "Let k = 5172 + 3612. Suppose -10*r = -746 - k. Is r prime?", "a": "True" }, { "q": "Is (-324609)/(-9)*(0 + 6 - (0 + 0)) a composite number?", "a": "True" }, { "q": "Suppose -25*k = -20*k + 47*k - 2290756. Is k prime?", "a": "True" }, { "q": "Suppose -57*s = -62*s + 22360. Let k = 10821 - s. Is k composite?", "a": "True" }, { "q": "Let k(h) = -2*h - h + 3 + 2 + 13. Let j be k(5). Suppose -9 = -j*b, -4*m = -5*b + 3*b - 9262. Is m a prime number?", "a": "False" }, { "q": "Let x = 39 - 36. Suppose -x*m = -2 + 11. Let w(g) = -9*g**3 + 4*g**2 + 5*g - 5. Is w(m) a prime number?", "a": "False" }, { "q": "Let c = 0 + 12. Let p be (-8)/c - (-9176)/12. Is ((-30)/24)/((-1)/p) composite?", "a": "True" }, { "q": "Let z(n) be the second derivative of -19*n**3 + 5*n**2 + 2*n. Let a be z(-3). Suppose -2*w - a = -v - 11, -2*v - 5*w + 655 = 0. Is v a composite number?", "a": "True" }, { "q": "Suppose -3*d = u - 17133, 0*d + 3*u - 11415 = -2*d. Let x = d + -3133. Is x prime?", "a": "True" }, { "q": "Let s be 2/6*1*18. Is (11162/(-3))/(s/(-9)) a composite number?", "a": "False" }, { "q": "Let n = 226 + -210. Suppose -n*f + 30*f - 15442 = 0. Is f composite?", "a": "False" }, { "q": "Let l be 0/6*(-2 + 1 + 2). Suppose -3*o + o - 2*k + 3750 = 0, k = l. Let i = o - 1138. Is i a prime number?", "a": "False" }, { "q": "Let c(y) = 5*y**3 + 11*y**2 - 26*y - 5. Is c(6) composite?", "a": "True" }, { "q": "Let x(z) = -345 + 166 + 196 - 131*z. Is x(-10) a prime number?", "a": "True" }, { "q": "Let m(s) = -4*s - 2. Suppose -l = -2*l - 5*w - 16, -2*l - 17 = 5*w. Let j be m(l). Suppose j*r + 19 = -5*p, -6*r + 4*p = -r - 35. Is r a composite number?", "a": "False" }, { "q": "Let z(i) = -24*i + 6382. Is z(0) composite?", "a": "True" }, { "q": "Let p(g) = 3*g**2 + 11*g + 6. Let d be p(-3). Is (d/5 + -4351)*-1 a prime number?", "a": "False" }, { "q": "Is (-215240)/(-2) - (-84 - -89) composite?", "a": "True" }, { "q": "Let h(x) = -x**3 - 5*x**2 + 5*x - 6. Let l be h(-6). Suppose 3*b - 692 = -5*m, l = -4*m + b - 3*b + 554. Is m composite?", "a": "False" }, { "q": "Let l = -46841 + 72064. Is l composite?", "a": "True" }, { "q": "Suppose 3*f - 6*f + 229757 = -5*k, 229721 = 3*f + 4*k. Is f composite?", "a": "False" }, { "q": "Let y(m) = 35*m**2 + 3*m + 5. Let g = -149 + 141. Is y(g) composite?", "a": "False" }, { "q": "Is ((105/(-20) - -11)/(1/(-268)))/(-1) prime?", "a": "False" }, { "q": "Let s be (0 - 24)*24/(-16). Suppose 0 = 30*y - 26*y - s. Is 3/((-3)/14)*y/(-9) a composite number?", "a": "True" }, { "q": "Let u(m) = -m**3 + 33*m**2 - 9*m - 11. Suppose -t + 35 + 118 = 5*o, -2*o + 54 = -2*t. Is u(o) prime?", "a": "False" }, { "q": "Suppose 8 = 2*z + 2*p, 3 - 4 = -z - 4*p. Suppose 0 = -z*f + v + 3100, 3*f - v - 378 - 1480 = 0. Suppose 0*q - 4*q + f = 3*x, 636 = 3*x - q. Is x a prime number?", "a": "True" }, { "q": "Suppose 2504*c - 489895 = 2499*c. Is c prime?", "a": "False" }, { "q": "Let u(j) = 2500*j**2 - 26*j - 25. Is u(-2) a prime number?", "a": "False" }, { "q": "Let r be -2 + -1 - (2 - -7929). Is (r/(-6))/(4/12) prime?", "a": "True" }, { "q": "Let n(p) = 2*p**3 - 75*p**2 + 392*p - 84. Is n(47) a prime number?", "a": "False" }, { "q": "Let c(s) = 388*s - 3. Let p be 4/((-3 - -4) + 1). Let o be c(p). Suppose -2506 = -q - o. Is q a composite number?", "a": "False" }, { "q": "Let v = 23 - 171. Let o be 7/(746/(-62) - -12). Let x = v - o. Is x composite?", "a": "True" }, { "q": "Let a be (-3*2)/(66/(-146872)). Let p = a + -5949. Is p composite?", "a": "True" }, { "q": "Is (-70062)/(-1) + -2 + 19 + -12 prime?", "a": "True" }, { "q": "Suppose 12*r - 7*r = 40. Suppose -11*s = -r*s - 180. Suppose -s = -2*t + 46. Is t prime?", "a": "True" }, { "q": "Suppose -f = -62 - 58. Suppose 2*g - 292 = f. Is g composite?", "a": "True" }, { "q": "Suppose 24*i - 29*i + 50 = 0. Suppose -i*j + 13211 = j. Is j composite?", "a": "False" }, { "q": "Suppose -17*d = -45*d + 343532. Is d composite?", "a": "False" }, { "q": "Let k(c) = 193*c - 110. Let b(q) = -195*q + 109. Let s(x) = -4*b(x) - 3*k(x). Is s(19) a composite number?", "a": "True" }, { "q": "Suppose 2*p - p = -3*q - 99, -5*q - 10 = 0. Let r = p + 326. Is r a composite number?", "a": "False" }, { "q": "Let b = -39 + 52. Suppose b*r = 15*r + 2*u - 7750, 4*r = u + 15510. Is r prime?", "a": "True" }, { "q": "Let c(g) be the third derivative of 0*g - 1/15*g**5 - 1/6*g**3 + 9*g**2 - 23/40*g**6 + 0 - 1/8*g**4. Is c(-2) a prime number?", "a": "True" }, { "q": "Let h be (-4)/(-10) + ((-690)/(-25) - 4). Suppose -3*m = m + h. Is (-29)/(1 - m/(-5)) a prime number?", "a": "False" }, { "q": "Suppose 4*f + 0*f - 7181 = -x, 5*f - x - 8983 = 0. Suppose -2*w = 5*v - 5969, 3*v + 4*w - f = 1777. Is v a composite number?", "a": "True" }, { "q": "Is 3*2/3 - 26/((-416)/126384) a composite number?", "a": "False" }, { "q": "Is 1395/(-310)*((-161842)/6 - -1) a prime number?", "a": "False" }, { "q": "Let t = -145 - -98. Let o = t + 51. Suppose 2*k - 1446 = -2*f, 11 = o*k + 3. Is f a prime number?", "a": "False" }, { "q": "Suppose -5*q = -k - 4*q + 7, 2*k - 23 = 5*q. Let m be k/2 + 9 + -11. Suppose -f + 4*f + 1034 = 4*s, -3*s + 5*f + 781 = m. Is s a prime number?", "a": "True" }, { "q": "Let n be 28/21 + 1/(-3). Let k = -147 - -149. Is (n/k)/(9/4014) a composite number?", "a": "False" }, { "q": "Suppose 13*z - 18*z = 0, 0*a + 3*a = 2*z + 44547. Is a prime?", "a": "False" }, { "q": "Let m = -43 + 43. Suppose -5*k + v = 0, m = k - 2*v + 4*v. Suppose 0*t = -5*g - t + 1011, k = -4*g + 4*t + 804. Is g prime?", "a": "False" }, { "q": "Let n(u) = -42889*u + 60. Is n(-1) a composite number?", "a": "True" }, { "q": "Suppose 63*n - 181346 = -99*n - 60008. Is n a composite number?", "a": "True" }, { "q": "Let x be (-2)/4*-2*(36 - -5903). Suppose -3*u + 8*u - x = -3*m, 4*u = -5*m + 9881. Is m a prime number?", "a": "True" }, { "q": "Suppose 35 = 4*d + 107. Suppose -2*u - 5 - 13 = 2*y, 0 = 2*y + 6. Is u/27 - 12442/d a prime number?", "a": "True" }, { "q": "Suppose -17*m + 248 = -177. Suppose -18402 = m*p - 31*p. Is p prime?", "a": "True" }, { "q": "Let k be 12/8*(-7)/((-21)/(-356)). Let q = 1149 + k. Is q prime?", "a": "True" }, { "q": "Let d = -15922 + 24945. Is d composite?", "a": "True" }, { "q": "Let b(c) = 21*c**2 - 15*c - 2. Let s(k) = -42*k**2 + 29*k + 3. Let n(t) = -7*b(t) - 4*s(t). Is n(-13) composite?", "a": "True" }, { "q": "Suppose 102 + 10 = 7*h. Suppose -2 = -2*s - 5*f - 18, 4*f = -h. Suppose -s*z - 37 = -k, -4*z + 21 - 64 = -k. Is k a prime number?", "a": "True" }, { "q": "Let q(h) = h**2 - 2*h + 20. Let o be q(0). Suppose -o*b = -10356 - 12664. Is b prime?", "a": "True" }, { "q": "Let z be (-4)/(-14) - (-231)/49. Suppose 0 = 5*v + 4*s - 1465, 3*v - v - z*s = 586. Is v prime?", "a": "True" }, { "q": "Suppose -20 = -4*o, -9*g - 198 = -5*g + 2*o. Is (g/(-156))/(1/15213) a prime number?", "a": "False" }, { "q": "Suppose 5*l - 2*c - 51543 = 0, l - 10299 = -58*c + 56*c. Is l prime?", "a": "False" }, { "q": "Let j = -18 - 128. Let x = j + 197. Is x prime?", "a": "False" }, { "q": "Let a be ((-43071)/(-63))/(2/6). Let v be (4 - (1 - -2)) + -1 + a. Suppose -1955 = -5*q + 3*o, 5*q - v + 96 = -5*o. Is q a prime number?", "a": "False" }, { "q": "Suppose -3*q = -2*f - 24457, 0 = f + 16 - 17. Is q prime?", "a": "False" }, { "q": "Suppose 0 = -21*o + 225623 - 14300. Is o prime?", "a": "False" }, { "q": "Suppose 2*g + 15*g + 9333 = 0. Let z = 969 + -2044. Let i = g - z. Is i a prime number?", "a": "False" }, { "q": "Let m = -8926 - -15447. Is m prime?", "a": "True" }, { "q": "Let w(a) = 85*a**2 + a + 25. Let k(b) = b**2 + 19*b + 7. Let c be k(-19). Is w(c) a prime number?", "a": "False" }, { "q": "Suppose 0 = 35*k - 32*k - 9. Let a(r) = -7*r**2 + 2*r**3 + k*r**3 - 2*r + 4 - 3*r**3. Is a(9) a prime number?", "a": "True" }, { "q": "Let q = 158 + -160. Let b(h) = 434*h**2 - 1. Is b(q) a composite number?", "a": "True" }, { "q": "Let t(w) = w**3 + 10*w**2 + 2*w + 20. Let a be t(-10). Suppose -v - 3946 = -4*d + 3*d, a = -2*v. Is d prime?", "a": "False" }, { "q": "Suppose 0 = -2*h - 5*g + 39688, 19912 + 39637 = 3*h - g. Is h a composite number?", "a": "True" }, { "q": "Suppose 2*u - 275 = -37. Let w = u + 1290. Is w composite?", "a": "False" }, { "q": "Let k(u) = 242*u**2 + 248*u - 17. Is k(7) prime?", "a": "True" }, { "q": "Suppose -4*r + i = -630232, 39*r - 157551 = 38*r + 2*i. Is r a composite number?", "a": "False" }, { "q": "Let o(f) = f**3 - 15*f**2 - 5*f - 27. Let m be o(23). Suppose 0 = 10*t - 15*t + m. Is t prime?", "a": "False" }, { "q": "Let w(k) = k - 1. Let p be w(-2). Let z = 374 - 372. Is (p - (1 - -517))*z/(-2) prime?", "a": "True" }, { "q": "Let y(x) be the second derivative of -81*x**3/2 + 111*x**2/2 + 43*x. Is y(-12) prime?", "a": "False" }, { "q": "Let s(b) = -12469*b - 621. Is s(-2) a composite number?", "a": "False" }, { "q": "Let k(x) = -5*x + 12. Let b be k(-10). Let t(h) = -155*h + 14 - 1 + b*h. Is t(-6) prime?", "a": "True" }, { "q": "Suppose -36*i - 810 = -6*i. Let f = -208 - -302. Let x = f + i. Is x a composite number?", "a": "False" }, { "q": "Let r = 2273 + -476. Suppose 0 = 5*k - 808 - r. Is k a composite number?", "a": "False" }, { "q": "Is (-24)/36*(-260346)/4 a composite number?", "a": "False" }, { "q": "Let c = -37243 + 89726. Is c prime?", "a": "False" }, { "q": "Let w(z) = 3016*z**2 - 22*z + 265. Is w(12) a prime number?", "a": "False" }, { "q": "Suppose 5*d - 27 - 3 = 4*v, 10 = -2*v. Suppose -2*t - 2*b = -16708, d*t - b = 3*b + 16702. Is t a prime number?", "a": "True" }, { "q": "Suppose 4*t = -4*t + 16. Suppose 3832 = t*p - 1282. Suppose -3*c + p = 556. Is c a composite number?", "a": "True" }, { "q": "Suppose -2*o = -1591 - 213. Suppose 5 = -q, 0 = 4*a - 8*q + 6*q - o. Is a a composite number?", "a": "False" }, { "q": "Let t be 270/69 - 4/(-46). Is 46281/2*t/6 prime?", "a": "True" }, { "q": "Suppose 6*l + 53 = 41. Is ((-2)/l - 0)/(34/3910) composite?", "a": "True" }, { "q": "Suppose -4*z = 5*m - 3*m - 6, 3*z = -3*m. Suppose 7138 = z*b - 14213. Is b a composite number?", "a": "True" }, { "q": "Suppose -15*d + 14*d + 12 = 0. Suppose d = 3*i, -5*i - 6148 - 4108 = -4*b. Is b a prime number?", "a": "False" }, { "q": "Let p(f) = -141*f**3 + 8*f**2 - 12*f - 283. Is p(-8) prime?", "a": "False" }, { "q": "Let b = 144 - 29. Suppose 0 = -11*n - b - 50. Is (n + -2)/(8/(-184)) a prime number?", "a": "False" }, { "q": "Let q = -23965 - -55526. Is q composite?", "a": "True" }, { "q": "Suppose 0 = 2*k + 5*d + 72, -k + 3*k = 3*d - 88. Let i = -585 - k. Let g = 767 + i. Is g prime?", "a": "True" }, { "q": "Let n = 26230 - 13941. Is n a prime number?", "a": "True" }, { "q": "Let g(f) = -7*f**2 - 17*f - 7. Let y be g(-10). Let p = y - -1534. Is p composite?", "a": "False" }, { "q": "Is (4 - 2) + ((-515495)/(-25) - (-8)/(-10)) a prime number?", "a": "False" }, { "q": "Let t(p) = 199*p**2 - 44*p - 194. Is t(17) a composite number?", "a": "False" }, { "q": "Suppose -2*i = 2*n - 10, -11*n + 12*n - 3*i + 7 = 0. Suppose 5*p = 3*l - 472, -3*l + n*l + 5*p + 174 = 0. Is l composite?", "a": "False" }, { "q": "Let l(m) = 116*m**2 - m + 2. Let s = -25 - -23. Let z be l(s). Let u = -161 + z. Is u a composite number?", "a": "False" }, { "q": "Suppose -10*i - 56 - 14 = 0. Is 33*30 + 7 + 28/i composite?", "a": "True" }, { "q": "Let y be (-48)/(-24) - (-18)/1. Suppose 13*z = y*z - 27034. Is z a composite number?", "a": "True" }, { "q": "Suppose -g - 90 = 4*g. Let u be (3 - 4)/(3/g). Suppose u*l + 2515 = 7*l. Is l composite?", "a": "True" }, { "q": "Let d(o) = -30*o**3 + 13*o**2 + 29*o + 33. Is d(-10) a composite number?", "a": "True" }, { "q": "Let d be (5 - -1005)*(-4)/(-2). Suppose 4*t + 19 = 7, 0 = -3*f + 4*t + 18. Suppose f*u = -2*u + d. Is u a prime number?", "a": "False" }, { "q": "Suppose -5*s + 0*s - 19 = 3*r, -4*r - 2*s - 44 = 0. Let j(m) = 49*m**2 + 17*m - 7. Is j(r) composite?", "a": "False" }, { "q": "Suppose 2*n = 2608 - 10036. Suppose 15*l = 48*l + 495. Is 5/2*n/l a composite number?", "a": "False" }, { "q": "Let b be (427 - -1) + 24/(-8). Suppose 12 = 3*f + f, 0 = -x + 2*f + b. Is x a composite number?", "a": "False" }, { "q": "Let k be 21 + 12/(-18)*6. Let h(p) be the first derivative of 21*p**2/2 + 34*p - 3. Is h(k) a composite number?", "a": "True" }, { "q": "Let s(n) = -6 - 5*n**2 - n + 4*n + 2*n + 4*n**2. Let g be s(2). Suppose 13*j - 11*j - 586 = g. Is j composite?", "a": "False" }, { "q": "Let r be 1/8 - (-428475)/232. Is (13 - 15)*r/(-2) composite?", "a": "False" }, { "q": "Let o = 38390 + -22263. Is o a composite number?", "a": "False" }, { "q": "Is -9 + (-1)/3*-332778 a prime number?", "a": "True" }, { "q": "Suppose 3*p + 3 = 0, -v = 4*v + 2*p - 11458. Suppose -3*m = -8*m + 20, -4*g + 4*m + v = 0. Is g a composite number?", "a": "False" }, { "q": "Let n(v) be the first derivative of 111*v**2/2 + 23*v - 22. Is n(10) prime?", "a": "False" }, { "q": "Suppose -3*d + 9 = 24. Is d - -6 - 11/(22/(-2760)) composite?", "a": "False" }, { "q": "Suppose -4*u = 3*k - 150683, 0 = 5*u - 61 + 36. Is k composite?", "a": "False" }, { "q": "Let w be 8/24 + 1/(-3). Suppose w*i - 72 = 2*i. Let f = -17 - i. Is f composite?", "a": "False" }, { "q": "Suppose -5*d = -c - 0*d - 17, -3*d + 15 = 0. Suppose -14*o - 24 = -c*o. Is 9 + 598 - o*1 prime?", "a": "False" }, { "q": "Suppose -4*o + 296 = 60. Suppose -56*g - 8499 = -o*g. Is g a composite number?", "a": "False" }, { "q": "Suppose 0 = 6*w - 7*w + 10. Suppose 13*u - w = 11*u. Let a(f) = 41*f. Is a(u) a prime number?", "a": "False" }, { "q": "Suppose 68*l - 59*l = 218151. Is l a composite number?", "a": "False" }, { "q": "Let x(s) = 294*s**3 - 87*s**2 + 8*s + 8. Is x(7) prime?", "a": "True" }, { "q": "Let j = 80 - 75. Suppose 0 = -4*z + j*z + 1, -5*y - 2*z = -4533. Is y prime?", "a": "True" }, { "q": "Suppose -48 = -27*h + 21*h. Suppose h*x - 2*x - 1122 = 0. Is x prime?", "a": "False" }, { "q": "Let c(m) = 1798*m**2 + 118*m + 623. Is c(-6) prime?", "a": "False" }, { "q": "Let f(q) = -q**2 + 14*q - 37. Let d be f(4). Let t be 4092 + -1 - (2 + 0). Suppose -5*v + 5450 = -v - d*u, 3*v - 3*u = t. Is v a prime number?", "a": "True" }, { "q": "Let j(i) be the second derivative of 77*i**3/6 - 4*i**2 + i - 42. Let w(b) = -b**3 + 8*b**2 + 8*b + 12. Let h be w(9). Is j(h) composite?", "a": "False" }, { "q": "Let y be 5/20 - (-222)/8. Suppose 5*t = y + 32. Is (-716)/(-6) - (t/9)/4 prime?", "a": "False" }, { "q": "Let r = -193 + 2519. Suppose q - 3 = 0, q = -3*g + 2588 + r. Is g prime?", "a": "True" }, { "q": "Let p(i) = 83*i + 25. Let j = -200 + 202. Is p(j) prime?", "a": "True" }, { "q": "Suppose 3*k - 33 = -j + 3*j, -4*j - 65 = -5*k. Let t = 18 + j. Suppose -t*d - 5*f = -2263, 3*d - 5*f = -0*f + 2243. Is d composite?", "a": "False" }, { "q": "Let m = 71484 + -25273. Is m composite?", "a": "True" }, { "q": "Suppose 0 = 13*q - 50 - 67. Suppose 2*f - q*f = -4053. Is f a prime number?", "a": "False" }, { "q": "Let w be ((-9)/((-18)/4))/(4/10). Suppose -a = -5*n + 1779, 2*n - w*a - 1037 = -307. Suppose -8*d + 141 + n = 0. Is d prime?", "a": "False" }, { "q": "Suppose 15*x + 161*x + 330720 = 8217104. Is x composite?", "a": "False" }, { "q": "Let m be 6/15 - (-2481)/(-15). Is -2*(-1922)/6 - 55/m a prime number?", "a": "True" }, { "q": "Let f(v) = v + 253. Suppose 0 = 5*u - 8 + 28, 0 = -5*q + 5*u - 70. Let z = q + 18. Is f(z) prime?", "a": "False" }, { "q": "Suppose -2655286 + 6833762 + 12965148 = 152*b. Is b composite?", "a": "False" }, { "q": "Let h(u) = -u**2 - 8*u + 6. Let z be h(-8). Let p = 3 - 4. Is (-103)/(p + 0*(-2)/z) composite?", "a": "False" }, { "q": "Suppose 3*a - 7*i - 8426 = -3*i, i + 11226 = 4*a. Suppose -5*h - m - 2*m = -6983, 2*h - a = 2*m. Is h a composite number?", "a": "False" }, { "q": "Let d(i) = 431*i**3 - 4*i + 4. Let n(t) = 46116*t**3 - 427*t + 427. Let k(f) = -427*d(f) + 4*n(f). Let r be k(1). Suppose 313 = 4*q - r. Is q a prime number?", "a": "False" }, { "q": "Let x(o) = 490*o**2 + 125*o + 8. Is x(-18) a composite number?", "a": "True" }, { "q": "Suppose 10*w = 4*w - 306. Let u = -49 - w. Suppose 278 - 1536 = -u*v. Is v composite?", "a": "True" }, { "q": "Let r = -6213 - -12951. Let i = r - 3101. Is i composite?", "a": "False" }, { "q": "Let a = 39 - 30. Let u = -11 + a. Is (u/4)/((-11369)/(-3790) + -3) a composite number?", "a": "True" }, { "q": "Suppose 0 = -5*s + 20, -10*h + s - 47639 = -15*h. Is h a composite number?", "a": "True" }, { "q": "Let d(a) = -266*a + 91. Let c(f) = -796*f + 274. Let g(t) = 4*c(t) - 11*d(t). Is g(-13) a prime number?", "a": "True" }, { "q": "Suppose 128274 = -32*s + 58*s - 5548. Is s a composite number?", "a": "False" }, { "q": "Suppose 0 = 3*a - 613 - 188. Let u = a - -250. Is u a prime number?", "a": "False" }, { "q": "Let t = 128580 + -48281. Is t a prime number?", "a": "False" }, { "q": "Suppose -2*y = -3*r + 8, 3*r = -0*y + 4*y - 2. Let v(d) = -17 + 4*d + 0*d + d + 5*d**2 - r*d. Is v(5) a composite number?", "a": "False" }, { "q": "Let c = -335 + 893. Suppose -558 = -2*n - 3*k, -n + 3*k + c = n. Suppose 0 = -3*r + 888 - n. Is r composite?", "a": "True" }, { "q": "Let b be (-135)/(-25) + 4/(-10). Let z be 326 + -5 - 0/2*1. Suppose -3*d + 804 = 4*o - z, -b*d + 4*o + 1907 = 0. Is d prime?", "a": "True" }, { "q": "Let x be (-8)/(-6)*(-45)/48*-4. Suppose -2*i - 8504 = -2*k, -x*k + 3*i + 10937 + 10317 = 0. Is k composite?", "a": "True" }, { "q": "Let i = 58 - 32. Suppose 2*s + i = 7*s - 3*c, -s = -3*c - 10. Suppose -x = -s*l + 475, -65 - 49 = -l + 5*x. Is l a prime number?", "a": "False" }, { "q": "Let o = 22218 + 241. Is o prime?", "a": "False" }, { "q": "Is 455627*(5 - ((-2)/16 + (-1221)/(-296))) a prime number?", "a": "True" }, { "q": "Let m = 15163 - 7956. Is m a prime number?", "a": "True" }, { "q": "Suppose 2*h - 1985 = -7*y + 4*y, 0 = h + 2*y - 992. Is 0 - (h/(-2) - -4) a composite number?", "a": "True" }, { "q": "Let h = 22 - 26. Is 1 + (536/(-12))/(h/564) composite?", "a": "False" }, { "q": "Let g(c) be the third derivative of 47*c**4/6 - 27*c**3/2 + 13*c**2. Is g(16) prime?", "a": "True" }, { "q": "Let n be 11/(495/(-10)) + (-42626)/(-9). Let m = 10194 - n. Is m composite?", "a": "True" }, { "q": "Suppose -564312 - 9039872 = -136*n. Is n a prime number?", "a": "True" }, { "q": "Let t(z) = -14*z + 8. Let o be t(2). Let u = -119 - o. Let k = u - -217. Is k a prime number?", "a": "False" }, { "q": "Let p(f) be the third derivative of 0 + 0*f - 29/6*f**3 - 35/24*f**4 - 1/60*f**5 + 6*f**2. Is p(-22) a prime number?", "a": "True" }, { "q": "Suppose w + 3*q + 814 = -w, -4*w - 2*q = 1620. Let c = 3225 - w. Is c a composite number?", "a": "True" }, { "q": "Let o(c) = c - 4. Let k be o(6). Suppose -4*y + 5214 = -k*n, n - 1294 = 4*y - 6509. Suppose -5*s + 9*s = y. Is s prime?", "a": "False" }, { "q": "Let l be 3 + (0/(-2))/(-9 - -10). Suppose -3695 = -l*x + 1432. Is x a prime number?", "a": "True" }, { "q": "Suppose 0 = 3*k - 2411 - 83956. Is k a composite number?", "a": "False" }, { "q": "Let q = -7753 - -17790. Is q prime?", "a": "True" }, { "q": "Let y(q) be the third derivative of -q**4/3 + 29*q**3/2 - 69*q**2. Is y(8) composite?", "a": "False" }, { "q": "Let x(k) = 3*k**2 + 9*k + 4. Let w be x(-6). Let p(v) = 38*v + w*v + 9 - 2. Is p(3) composite?", "a": "True" }, { "q": "Let z(t) = -t**3 - 30*t**2 + 39*t - 34. Let r be z(-32). Let b = r + -131. Is b a prime number?", "a": "False" }, { "q": "Suppose -4*p - 2605 = 1583. Let x = p - -4454. Is x prime?", "a": "True" }, { "q": "Let p = 1546 - 422. Suppose d - p = -3*d. Suppose 0 = 4*y - 12, 2*l - 3*y - d = 240. Is l a prime number?", "a": "False" }, { "q": "Suppose -44*x + 34*x + 254270 = 0. Is x a composite number?", "a": "True" }, { "q": "Let a(p) = 21*p**2 + 52*p + 94. Is a(25) a composite number?", "a": "False" }, { "q": "Is 34797/11 + 160/(-440) a composite number?", "a": "False" }, { "q": "Let q(c) = 7207*c**2 + 52*c - 172. Is q(3) a prime number?", "a": "False" }, { "q": "Suppose s = -88 + 80. Is (1 - -6)*((-5 - s) + 134) composite?", "a": "True" }, { "q": "Suppose 0 = -5*n - 20, -4*n + 0*n + 548 = 3*s. Suppose 2*o + s = -276. Let y = 579 + o. Is y a prime number?", "a": "True" }, { "q": "Suppose -19*x = -15*x - 51592. Is x - -2*(60/(-8))/5 a composite number?", "a": "True" }, { "q": "Let i be (8/12)/(4/(-1686)). Let r = -194 + 116. Let x = r - i. Is x a prime number?", "a": "False" }, { "q": "Suppose -5 = 2*p - 23. Suppose -p*f - 364 = -7*f. Let g = f + 481. Is g prime?", "a": "False" }, { "q": "Is ((-2)/16 + 49555/88)/((-10)/(-410)) a composite number?", "a": "True" }, { "q": "Let s(v) = -90*v**3 - 8*v**2 + 7*v + 42. Is s(-9) composite?", "a": "True" }, { "q": "Let r(j) be the third derivative of -161*j**4/24 - 9*j**3 - 3*j**2 - 1. Is r(-7) composite?", "a": "True" }, { "q": "Suppose 2*b - 5*g = 17307, 8*b = 5*g - g + 69148. Is b prime?", "a": "True" }, { "q": "Let d = 184378 + -99311. Is d a prime number?", "a": "False" }, { "q": "Let f be 219 + 4*(34/8 + -4). Let r = 309 - f. Is r a composite number?", "a": "False" }, { "q": "Suppose -3*b = 5*z - 0*b - 782, -b = -4. Let j = z - 27. Let a = -24 + j. Is a a prime number?", "a": "True" }, { "q": "Let n(x) = 2*x - 28. Let i be (-3*1)/(12/64). Let k be n(i). Is (-78)/k*242 + (-6)/10 a composite number?", "a": "True" }, { "q": "Suppose -4*b + 19979 = -3*m, -3*b + 4*m + 13592 = -1387. Is b composite?", "a": "True" }, { "q": "Let l = 287405 - 197412. Is l a composite number?", "a": "True" }, { "q": "Let k(n) = n**2 - 14*n + 50. Let s be k(8). Suppose -4*z + 932 = x - 2*x, 0 = s*z + 3*x - 466. Is z prime?", "a": "True" }, { "q": "Let g be (-2)/(6 + -4) - 9. Let q(u) = -101*u - 57. Is q(g) a composite number?", "a": "False" }, { "q": "Suppose -5*d + 38 - 28 = 0. Suppose 15 = -5*v, -2*o + 5*o + d*v - 2925 = 0. Is o prime?", "a": "True" }, { "q": "Let r(c) = 70255*c**2 - 15*c - 11. Is r(-1) a prime number?", "a": "False" }, { "q": "Let x be 16/10*55/22. Suppose 21 + x = -3*z - r, -z - 7 = r. Let o(l) = -l**3 - 7*l**2 + 8*l + 3. Is o(z) prime?", "a": "False" }, { "q": "Suppose 4*s - 1167*w = -1169*w + 239078, -3*s = -5*w - 179328. Is s composite?", "a": "False" }, { "q": "Suppose 1734411 = 3146*x - 3125*x. Is x prime?", "a": "True" }, { "q": "Suppose -g - 4 = 0, -4*y + 0*g + 4*g = -6728. Suppose 37*z - y = 35*z. Is z composite?", "a": "False" }, { "q": "Suppose -3*u = r - 4407, 10203 = 2*r - 4*u + 1379. Suppose -7*d + d + r = 0. Suppose -j - d = -5*w + 4*j, -2*j = 4. Is w prime?", "a": "False" }, { "q": "Let s(r) = -r - 3. Let v be s(-6). Let p(l) = 17*l**2 - 3*l + 5. Let a be p(2). Is (2 + 1)*a/v a composite number?", "a": "False" }, { "q": "Let a(s) = -7*s + 9. Let z be a(1). Suppose 0 = -z*w + 2*k + 490, -209 = -5*w + k + 1024. Is w a composite number?", "a": "True" }, { "q": "Suppose 364 = 2*w - 334. Suppose -k = -w - 1570. Is k a prime number?", "a": "False" }, { "q": "Is 446007 - 2/2 - 17/(221/39) a composite number?", "a": "False" }, { "q": "Let j = 10 + 50. Suppose -j*t + 57*t = -12. Suppose 5*n + 3*r = 335, r = t*r. Is n composite?", "a": "False" }, { "q": "Let y(v) = -9106*v - 327. Is y(-41) prime?", "a": "True" }, { "q": "Let a(d) = d**2 - 38*d + 72. Let x be a(2). Let y be (2/(-1) + 3)*0. Suppose x*u + 5*u - 7495 = y. Is u a composite number?", "a": "False" }, { "q": "Suppose -2*c - 8 = -4*c. Suppose -146 = 3*j - c*j. Let w = j - 87. Is w a composite number?", "a": "False" }, { "q": "Let s be 330/70 + -3 + 2/7. Suppose -l = -4, -4*l + 310 = s*r - 214. Is r prime?", "a": "False" }, { "q": "Suppose -22*x + 37*x - 73080 = 0. Let l = -2539 + x. Is l a composite number?", "a": "False" }, { "q": "Suppose 0 = -3*h - i - 5273 + 16004, -4*h + 14289 = -5*i. Suppose 3*o = 3, -u = -5*o + h - 10806. Is u composite?", "a": "True" }, { "q": "Let s = -1452 + 4178. Suppose -1219 = -5*o + s. Is o composite?", "a": "True" }, { "q": "Suppose 67*g - 35*g = 64. Let p = 3 - 1. Suppose g*s = -3*q + 5*s + 249, -2*s + 178 = p*q. Is q prime?", "a": "False" }, { "q": "Suppose -9*a + 129611 + 62570 - 37588 = 0. Is a prime?", "a": "False" }, { "q": "Suppose 3*w = 2*r + 285063, 18*w - 16*w - 5*r - 190031 = 0. Is w a prime number?", "a": "False" }, { "q": "Let o(v) = 794*v - 84. Let s be o(-10). Is (-2 - (-13)/7) + s/(-14) composite?", "a": "True" }, { "q": "Let x(n) = -23*n**2 + 10. Let p be x(4). Let j be (3 - 8)*(p + -1). Is j/4 - 3/(-12) composite?", "a": "False" }, { "q": "Suppose u + 16 = 3*x - 0*u, 12 = 3*x + 3*u. Let b be (-3736)/6*3/(-2). Is 10/x + b/2 composite?", "a": "True" }, { "q": "Let y(h) = -h**3 + 21*h**2 + 29*h + 44. Let q be y(24). Let i = 2031 - q. Is i prime?", "a": "True" }, { "q": "Suppose -66*t = -82*t + 2737232. Is t composite?", "a": "False" }, { "q": "Let u be ((-18)/(-24))/(6/656). Suppose -4413 = u*k - 85*k. Is k prime?", "a": "True" }, { "q": "Let j(d) = -363*d**3 + 57*d**2 + 21*d + 28. Is j(-7) prime?", "a": "False" }, { "q": "Let k(p) = 951*p**2 - 5*p + 685*p**2 + 0*p + 867*p**2. Is k(1) prime?", "a": "False" }, { "q": "Let a be (4*(114/8)/3)/1. Suppose 4*h - 13 = a. Suppose 7*i - h*i + 1765 = 0. Is i prime?", "a": "False" }, { "q": "Suppose -4*u - 3*z + 188045 = 0, 128*u - 131*u - 4*z + 141025 = 0. Is u prime?", "a": "False" }, { "q": "Let s(f) = f**2 + f - 4. Let a be s(-3). Suppose -4*b - a = -5*b. Suppose b*y + 15 = -y, -z + 217 = 4*y. Is z prime?", "a": "False" }, { "q": "Suppose -4*q - 72967 = -5*p, 189*p = 193*p + 2*q - 58358. Is p composite?", "a": "False" }, { "q": "Let m(c) = -456*c**3 + 27*c**2 + 36*c + 131. Is m(-10) prime?", "a": "False" }, { "q": "Suppose 224*d = 228*d + 16. Let r(n) = 8 + 8 - 5 - 102*n. Is r(d) a prime number?", "a": "True" }, { "q": "Let v(x) = 15*x + 13. Let h be (-4 - (4 + -11))*20/6. Is v(h) a composite number?", "a": "False" }, { "q": "Let r be (0/(-3))/(-1) - 30/(-6). Suppose d - m = 833, -r*d - 8*m + 5*m + 4181 = 0. Is d composite?", "a": "True" }, { "q": "Let t = -206 + -65. Let p = t + 885. Is p a composite number?", "a": "True" }, { "q": "Let t = 5 - -6. Suppose j = 5, 0 = 3*f + 5*j - t - 20. Suppose -f*s = 3*o - 474 - 1281, -5*o = -4*s - 2947. Is o a composite number?", "a": "False" }, { "q": "Let k = 256 + -1162. Is k/(-3) + (4 - -1) prime?", "a": "True" }, { "q": "Suppose v - 14 = -2. Let d be ((-5)/((-45)/v))/(2/(-1578)). Is -3 + 22/(-11) + d/(-2) a prime number?", "a": "True" }, { "q": "Let y be 21/42*(17266 - 0). Suppose -9*w + y = -16360. Is w a composite number?", "a": "False" }, { "q": "Suppose 0 = -14*o + 9778 + 1464. Let h = o + -114. Is h composite?", "a": "True" }, { "q": "Suppose 20*q + 14 = 22*q. Suppose 0 = q*j - 3 - 32. Is -1 + 488 - (j + (-4 - 1)) a composite number?", "a": "False" }, { "q": "Suppose 0 = -x + 4*x - 2*i - 19, 2*x - 4*i - 26 = 0. Suppose -o + 6793 = 4*u, -3*o + 4*u - x*u + 20418 = 0. Is o prime?", "a": "False" }, { "q": "Let b(x) be the second derivative of -x**4/12 + 5*x**3/3 + 13*x**2/2 + 7*x. Let v be b(11). Is -2*1585/(-20)*v a prime number?", "a": "True" }, { "q": "Let m be 2/(-1)*8571/(-2). Let n = m - 5890. Is n prime?", "a": "False" }, { "q": "Let h = 174 + 1072. Let l = h - -748. Suppose -9*s - l = -11*s. Is s a composite number?", "a": "False" }, { "q": "Let v be (-16)/(-56) + (-15382)/(-14). Suppose -3*z = 0, 5*g - 4*z - 756 = v. Is g a prime number?", "a": "False" }, { "q": "Suppose -2*w + 2 = -2*h + w, 0 = h - w - 1. Suppose 49537 + 9388 = h*m. Is m composite?", "a": "True" }, { "q": "Let o(f) = -5*f + 4. Let t be o(0). Suppose -19 = -4*h + 3*h + t*x, 0 = -2*h + 5*x + 26. Suppose 4*a = -3*n + a + 60, -n + h*a = -16. Is n composite?", "a": "False" }, { "q": "Suppose 2*h = -20 + 16. Is h/((-7 - -3)/2)*933 a composite number?", "a": "True" }, { "q": "Let j be (6*(-4)/(-16))/((-1)/(-8346)). Let c be (-2)/(6 - -2) + j/12. Is (-4)/(-1) + c - 1*-2 prime?", "a": "True" }, { "q": "Is (-3 - (-50)/15)/(8/3203544) a composite number?", "a": "False" }, { "q": "Suppose 3*n + b = 472, 805 = 5*n - 0*n - 2*b. Let l be (-6)/(-12)*n*4. Suppose -l - 151 = -j. Is j prime?", "a": "False" }, { "q": "Is 0 + 3 - (-123935 + 151) prime?", "a": "True" }, { "q": "Let l(q) be the third derivative of 259*q**5/60 + q**4/24 + 5*q**3/6 - 43*q**2. Is l(2) a prime number?", "a": "False" }, { "q": "Let u(r) = -2*r**3 - 7*r**2 + 11. Let c = -99 + 93. Is u(c) a prime number?", "a": "True" }, { "q": "Let h = -310841 - -438608. Is h a prime number?", "a": "False" }, { "q": "Is 65550 - (-1*6 + 1 - (15 + -19)) prime?", "a": "True" }, { "q": "Suppose -4*m + 4*h + 8 = 0, 3*m - h - 5 - 7 = 0. Suppose -l = -m*c + 6141, 3*c + 3*l = -l + 3680. Suppose -2*a + 6*a = c. Is a prime?", "a": "True" }, { "q": "Let y = -14893 - -34413. Suppose 0 = 5*h - j + 2*j - 19505, 0 = -5*h + 2*j + y. Is h composite?", "a": "True" }, { "q": "Let k be -46*(1 - 4)/(-3). Let j = k + 46. Suppose j*q - 5*q = -175. Is q prime?", "a": "False" }, { "q": "Let a(x) = 3*x**2 - 12*x - 2. Let v be a(6). Suppose -v*r = -37*r + 1503. Let o = r - 232. Is o a composite number?", "a": "False" }, { "q": "Let h = 28 + -41. Let a(m) = 2 + 7*m + m**2 + 7*m - 6*m + 4. Is a(h) prime?", "a": "True" }, { "q": "Suppose 5*r - 10 = 5*k, k - 9 = -3*r + 1. Let j(s) = 2*s - 59. Let w(a) = -a + 58. Let o(y) = r*w(y) + 2*j(y). Is o(-19) a prime number?", "a": "True" }, { "q": "Let l be (-1)/((-2)/(-3))*310/(-93). Suppose -2*p + 5 = -h, 2*p - 3*h = l*p - 12. Suppose 0 = 2*o - 7*o + p*n + 10498, -4195 = -2*o - 3*n. Is o a prime number?", "a": "True" }, { "q": "Suppose 38*o - 4*o = -47*o + 3570237. Is o a composite number?", "a": "True" }, { "q": "Let m(r) = -2*r + 16. Let n be m(9). Let g = 0 - n. Suppose -g*z + 95 = 5*h - 272, 2*h = 5*z - 961. Is z a composite number?", "a": "False" }, { "q": "Let p(k) = -499*k**2 + k + 1. Suppose 5*q + 2*y + 8 = 3, -y = -5*q - 5. Let w be p(q). Let j = -246 - w. Is j a composite number?", "a": "True" }, { "q": "Let q(l) = 46*l**2 + 4*l + 2. Let u be q(-2). Suppose 596 = 7*w + 43. Let p = w + u. Is p a prime number?", "a": "True" }, { "q": "Let k(d) = -9285*d + 1498. Is k(-5) composite?", "a": "True" }, { "q": "Suppose 5*o - 591237 = s, 15*o + 2*s + 236498 = 17*o. Is o composite?", "a": "False" }, { "q": "Suppose -17*j + 48 = -14*j. Suppose -j*s - 1334 = -18*s. Is s prime?", "a": "False" }, { "q": "Let d(g) = -60*g + 31. Let m be 7/14 - 19/2 - -4. Is d(m) a composite number?", "a": "False" }, { "q": "Let c = 270 + 24. Suppose 8*y - 3454 = -c. Is y composite?", "a": "True" }, { "q": "Let q(v) = 4*v**3 - 4*v**2 - 2*v - 5. Let y be q(4). Let x = -123 + y. Let n = x - 33. Is n a composite number?", "a": "False" }, { "q": "Suppose 5*g + 3*f - 381881 = -126324, 5*f + 51089 = g. Is g prime?", "a": "True" }, { "q": "Suppose 3*s = p + 12589 + 32735, -5*s = 3*p - 75554. Is s a composite number?", "a": "True" }, { "q": "Suppose -4834 = 4*v - 866. Let q = v - -1443. Suppose 3*r = 4*r - q. Is r a prime number?", "a": "False" }, { "q": "Suppose -28*d = -27*d - 7465. Suppose 3*p = 5*r - 8435 - 3988, -p = 3*r - d. Is r a composite number?", "a": "True" }, { "q": "Suppose -3*a + 45 = 5*g + 15, 0 = 5*g - 5*a + 10. Let w be g/(((-12)/16)/(-1)). Is 1910/w*(-8)/(-10) a composite number?", "a": "True" }, { "q": "Suppose -2*v + 432 = 122. Suppose 0 = -10*s + 965 + v. Let b = s + -73. Is b composite?", "a": "True" }, { "q": "Let t(s) = -3*s**3 - 22*s**2 - 196*s - 35. Is t(-16) composite?", "a": "True" }, { "q": "Suppose -q - 6 + 23 = 0. Let o = q + -13. Let u(r) = 21*r**3 + 4*r**2 - 4*r + 5. Is u(o) a composite number?", "a": "True" }, { "q": "Let h(b) = 2568*b**2 + 32*b - 91. Is h(3) a composite number?", "a": "False" }, { "q": "Is 57079/(-1 - ((-10)/25)/((-5)/(-25))) a composite number?", "a": "True" }, { "q": "Is (((-2722)/(-1))/(-2))/((-3)/(-222)*-2) composite?", "a": "True" }, { "q": "Let b(i) = -i - 11. Let w be b(-14). Let j be w*4/24*-614. Let f = 366 - j. Is f composite?", "a": "False" }, { "q": "Suppose 216*n - 9094 = 214*n. Is n a prime number?", "a": "True" }, { "q": "Let o = -309867 - -549154. Is o a composite number?", "a": "False" }, { "q": "Let i be 8/40 + 46/(-5). Let j(h) = -172*h + 15. Let o be j(i). Suppose -3*q + 4*a + 1746 = 0, 4*a - 1379 = -5*q + o. Is q composite?", "a": "True" }, { "q": "Let v be (-4)/(-10)*(13 + (0 - -2)). Let w(d) = 9*d**3 - 2*d**2 - 1. Is w(v) prime?", "a": "True" }, { "q": "Suppose -624 = -2*o - 2*o. Suppose -7*m + o = -5*m. Suppose -5*x - 5*b + 430 = 0, 3*x + m = 4*x - b. Is x a prime number?", "a": "False" }, { "q": "Let w(r) = -r**3 + 13*r**2 + 15*r - 10. Let n = 12 + 2. Let m be w(n). Suppose -5*s = 4*y - 253, -4*s - 146 = -6*y + m*y. Is y a prime number?", "a": "True" }, { "q": "Suppose -3 + 3 = -11*t. Suppose j = f - 1315, -f + t*j = 3*j - 1327. Is f a prime number?", "a": "False" }, { "q": "Let x(h) = -51*h - 18. Let f be x(9). Let u = 876 + f. Suppose 5*q = -3*z + u, z = -q - 0*q + 133. Is z a composite number?", "a": "True" }, { "q": "Suppose -4*n = -0*n - 116. Suppose -21 = n*r - 28*r. Is 3286/14 + (-6)/r prime?", "a": "False" }, { "q": "Let j be (0 + (-3)/(-5))/((-2)/(-30)). Suppose j*x = 14188 + 15143. Is x composite?", "a": "False" }, { "q": "Suppose 4*f + 3 = -5*j, f - j = -4*f + 18. Let b be (f/3 - 0) + -1. Is (-2 - b)*732/(-8) a prime number?", "a": "False" }, { "q": "Let t = -3236 - -2145. Let m = -702 - t. Is m prime?", "a": "True" }, { "q": "Is (-6)/(-24) + (-1381014)/(-72) composite?", "a": "False" }, { "q": "Is (30/(-5) - 188)*(-1192)/16 a composite number?", "a": "True" }, { "q": "Suppose 0 = 24*m - 1190085 - 76803. Is m prime?", "a": "False" }, { "q": "Let l be (-3)/(4/(-1) - 4/(-4)). Suppose -w + 2*w = l. Is (-1)/(w + 0) - 9*-38 composite?", "a": "True" }, { "q": "Suppose -138957 + 17946 = -4*s - 16055. Is s a prime number?", "a": "False" }, { "q": "Let g be 2*3*(-9)/(-18). Suppose -7 = h - g*l, 5*h - 29 = -3*l + 2*l. Suppose -h*u - 2*u + 1127 = 0. Is u prime?", "a": "False" }, { "q": "Let z = -46 - -47. Let k be (z - 0)*(-213)/(-3). Let r = 202 - k. Is r composite?", "a": "False" }, { "q": "Let k(y) = 50*y**2 + 6*y - 33. Suppose 2*z + 24 = 2*r + z, 26 = 3*r + z. Is k(r) a composite number?", "a": "True" }, { "q": "Suppose 0 = 3*o + i + 76, i = -2 + 1. Let z = -31 - o. Let x(b) = b**3 + 7*b**2 + 3*b + 13. Is x(z) composite?", "a": "False" }, { "q": "Suppose 0 = -k + z + 39876, -26*k - 239216 = -32*k - 2*z. Is k composite?", "a": "True" }, { "q": "Suppose -2*y + 4*r - 46 = 0, 0 = -0*y + 3*y + r + 62. Let a(q) = -q**3 + 4*q**2 - 19*q + 57. Let u be a(3). Is (-2)/(-3) - y/u - -11 a composite number?", "a": "True" }, { "q": "Let p(u) = 49 - 75 + 108*u**2 + 29 - 8*u. Let b = -1 + 3. Is p(b) a composite number?", "a": "False" }, { "q": "Is ((-30)/(-4))/(-5)*1*(-2878688)/48 composite?", "a": "False" }, { "q": "Let l(y) = y - 32. Let d(q) = q + 1. Let t = 7 - 10. Let z(a) = t*d(a) - l(a). Is z(-10) composite?", "a": "True" }, { "q": "Let z = 363 + -519. Let k = z - -193. Is k composite?", "a": "False" }, { "q": "Suppose 0*c - 2*c + 2*v + 1962 = 0, c - 981 = 2*v. Let q = -452 + 754. Let s = c - q. Is s a composite number?", "a": "True" }, { "q": "Suppose 0 = 2*q - 163 + 231. Is q + 4238 - (1 + 4 + -2) prime?", "a": "True" }, { "q": "Let o be -2*(23/(-2) + 5). Suppose -16*k + o*k + 6963 = 0. Is k a prime number?", "a": "False" }, { "q": "Suppose 0 = 12*u - 0*u - 72. Let v = 3 + 2. Suppose -u*o + o = 4*z - 3201, -v*z = 5*o - 4000. Is z a composite number?", "a": "True" }, { "q": "Let h = 196 + -193. Is 5146/((5 - h)/1) a prime number?", "a": "False" }, { "q": "Let z(i) = -9*i - 7. Suppose -q + 32 = -10*p + 5*p, 0 = p + q + 10. Let b be z(p). Is (-10747)/(-7) - 16/b prime?", "a": "False" }, { "q": "Let g(q) = 99*q**2 - 20*q + 57. Is g(14) a prime number?", "a": "True" }, { "q": "Suppose -5*v - 46 = 2*q, 5*v - 6 + 106 = -5*q. Is (1074/q)/(2/(-6)) a composite number?", "a": "False" }, { "q": "Suppose -3*i + 2*i - 5 = 0, -3*j = -3*i - 90. Let r = j + -28. Let k(o) = -66*o**3 + 3*o**2 + 5*o + 7. Is k(r) a prime number?", "a": "True" }, { "q": "Let u = -378 - -147. Let y = -142 - u. Is y a prime number?", "a": "True" }, { "q": "Suppose 94*d - 13*d = 174069. Is d prime?", "a": "False" }, { "q": "Suppose -51*d + 363 = -40*d. Suppose 4*v - c = c + 282, -2*v + 156 = -4*c. Let k = v - d. Is k prime?", "a": "False" }, { "q": "Let k = -7771 - -16272. Is k a prime number?", "a": "True" }, { "q": "Suppose -63*q + 3715006 = -2762339. Is q prime?", "a": "False" }, { "q": "Suppose 3*r - 35 = -3*v - 2*v, -2*v - 17 = -5*r. Suppose 0 = f - 4*j + 978 - 2650, f = j + 1678. Suppose -4*k + r*g + f = -k, 4*k = 2*g + 2254. Is k composite?", "a": "True" }, { "q": "Suppose -158099 = -3*k - 2*s, 11*k + 4*s = 6*k + 263495. Is k a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*c - 5 - 5. Let b be (((-3)/(-3)*0)/1)/c. Suppose 4*j = 5*j - 1, 3*v + 2*j - 2765 = b. Is v a prime number?", "a": "False" }, { "q": "Suppose 22577 - 15362 = -2*o + 63433. Is o composite?", "a": "False" }, { "q": "Let u(q) = -70638*q + 151. Is u(-1) prime?", "a": "False" }, { "q": "Let m = -2648 + 4003. Suppose 0 = -3*o - 5*z + m, -4*o - 2*z + 2233 = o. Is o a composite number?", "a": "True" }, { "q": "Let p(s) = -249*s - 28. Let u be (1/1)/((-3)/9). Is p(u) composite?", "a": "False" }, { "q": "Suppose 310*d - 306*d = 4*p + 128444, -3*d = -5*p - 96329. Is d composite?", "a": "True" }, { "q": "Let o(n) = 30*n**3 - 28*n**2 + 45*n + 28. Is o(15) prime?", "a": "False" }, { "q": "Let p = -18135 - -29571. Suppose -16*h + p = -4*h. Is h composite?", "a": "False" }, { "q": "Suppose m - 24351 = -121*q + 120*q, -m = -3*q + 73037. Is q composite?", "a": "True" }, { "q": "Suppose 4*u = -3*l + 13, 9*u - 6*u + 3*l = 12. Is u/(0 + (-4)/(-2764)) a prime number?", "a": "True" }, { "q": "Let o(h) = 11*h**2 - 3*h + 24. Let k be o(-9). Let g = k + -155. Is g a prime number?", "a": "True" }, { "q": "Suppose -2*f = -5*d - 8127 - 6232, 4*d + 4 = 0. Is f composite?", "a": "False" }, { "q": "Let q = 42 + -43. Let c be (-32)/4 + q + (-1)/(-1). Let r = 41 - c. Is r a composite number?", "a": "True" }, { "q": "Let k(r) be the first derivative of -6*r**3 - r**2 - 7*r - 14. Let m(x) be the first derivative of k(x). Is m(-6) a composite number?", "a": "True" }, { "q": "Let d(c) be the third derivative of -39/8*c**4 + 0 + 1/6*c**3 + 0*c + 10*c**2. Is d(-1) composite?", "a": "True" }, { "q": "Let f be 2 + 84/2 + (-1)/(-1). Let r be 1168/12*f/2. Suppose 0 = -c + 4*p - 623 + r, 0 = -5*c - 3*p + 7835. Is c a composite number?", "a": "False" }, { "q": "Suppose 0 = 2*f - 4*j - 443826, 2*f = -j + 239708 + 204133. Is f a composite number?", "a": "True" }, { "q": "Let v(d) = -6*d**2 - 15*d + 1. Let b(o) = -12*o**2 - 29*o + 3. Let r(l) = -4*b(l) + 7*v(l). Let c be (-6)/((-6)/15 - (-16)/15). Is r(c) a prime number?", "a": "False" }, { "q": "Suppose 2*w = -36 + 40. Suppose 5 = -5*q + d + 3*d, -4*d + 2 = -w*q. Let t(u) = -141*u**3 - 2*u**2 - 3*u - 1. Is t(q) a prime number?", "a": "False" }, { "q": "Let u = -22660 + 33857. Is u prime?", "a": "True" }, { "q": "Let b = 15 + -10. Let y(h) = 3*h**3 + h**2 + 2*h + 2. Let m be y(b). Suppose u - k - m = -4*k, 0 = -5*u + 5*k + 1960. Is u composite?", "a": "False" }, { "q": "Suppose 2 = -2*v, 107 = 3*z - 14*v + 9*v. Suppose 0 = -22*i + z*i - 52476. Is i a composite number?", "a": "False" }, { "q": "Let q(f) = f**2 - 32*f + 167. Let u be q(31). Suppose -3*h = -5*j - 2296, 4*h - 4*j = 1504 + 1560. Let x = h - u. Is x composite?", "a": "False" }, { "q": "Suppose 697*h = 352*h + 349*h - 232808. Is h prime?", "a": "False" }, { "q": "Let w(g) = -2*g + 11. Let z be w(7). Let x(l) = l**3 + 4*l**2 + 4*l + 1. Let h be x(z). Is 405 + (-4 - (h - 0)) composite?", "a": "True" }, { "q": "Let b be (0 - -946)/(24/372). Let o = b - 5920. Is o composite?", "a": "True" }, { "q": "Suppose 5*m + c - 133896 = 0, 3*m + 2*c = c + 80338. Is m composite?", "a": "True" }, { "q": "Suppose -4*u = -10*u + 205116. Is u a composite number?", "a": "True" }, { "q": "Let p be 0/(2/(-3)*(-12)/(-8)). Suppose -5*f + 7 = 4*o, o = 6*o + 10. Suppose p*j - f*j = -5205. Is j a prime number?", "a": "False" }, { "q": "Let f be 3/1 - (0 + -1 + -2). Suppose y + 7035 = f*y. Suppose 3*q - y = 252. Is q composite?", "a": "True" }, { "q": "Let k(n) = 2002*n**2 - 12*n - 44. Is k(-7) a prime number?", "a": "False" }, { "q": "Let s = -101 - -198. Suppose 0 = 3*m - s - 155. Suppose 98 = 2*a - m. Is a composite?", "a": "True" }, { "q": "Suppose 59*k = 22*k - 15*k + 6102044. Is k composite?", "a": "True" }, { "q": "Let p = -9 - -14. Let b(v) = 157*v + 32. Let t be b(3). Suppose 4*o = 5*c + 724, p*o - 402 - t = -3*c. Is o prime?", "a": "True" }, { "q": "Is ((-4)/(-3) - 1)*(0 - -1)*569667 composite?", "a": "True" }, { "q": "Suppose -1 = -3*r + 20. Let l(n) = -n**2 + 9*n - 9. Let a be l(r). Is (-2)/3*((-1862)/4 + a) prime?", "a": "True" }, { "q": "Suppose 4*n - 3*r = 2*n, 0 = -2*n + 5*r. Let j(t) be the third derivative of t**4/24 + 59*t**3/2 - 323*t**2 + 2. Is j(n) composite?", "a": "True" }, { "q": "Let r be (1 + 687/(-21))*(-29 - -1). Suppose -4*b = 4*b + r. Let l = 220 - b. Is l prime?", "a": "True" }, { "q": "Let m(y) = -y**3 - y**2 + y - 12. Suppose -2*x + 10 = -4*c, 0 = 2*c - 3*c - 2. Let d be (x/2)/(4/(-40)). Is m(d) composite?", "a": "False" }, { "q": "Suppose 113*v - 2729654 = 635147. Is v prime?", "a": "False" }, { "q": "Let n(d) = -44*d - 23. Let k be n(10). Let s = k + 674. Is (2 - 1)*s + 52/26 a composite number?", "a": "True" }, { "q": "Let p(l) = 9*l**3 - 19*l**2 - 17*l - 26. Is p(11) a composite number?", "a": "False" }, { "q": "Let x(v) = -5*v - 119. Let o be x(-25). Let p(b) = -b**2 - 2*b + 1. Let t be p(1). Is 3/t*(-1004)/o a composite number?", "a": "False" }, { "q": "Let b(f) = 23722*f**3 - 2*f**2 - 5*f + 4. Is b(1) composite?", "a": "False" }, { "q": "Let i be (-17818)/9 + (-2)/9. Is (-5)/(-105)*-9 + i/(-14) a composite number?", "a": "True" }, { "q": "Suppose -610*a + 644*a - 4163198 = 0. Is a a prime number?", "a": "False" }, { "q": "Let p be ((-11)/(-11))/(2/10). Suppose 0*h + h - 7 = -p*r, 4*h + 14 = r. Suppose 92 + 146 = r*z. Is z a prime number?", "a": "False" }, { "q": "Let z(r) = 187*r - 70. Let t(g) = 188*g - 69. Let v(k) = -3*t(k) + 4*z(k). Is v(8) a composite number?", "a": "False" }, { "q": "Suppose -11920 = -8*a + 4*a. Let d = -2085 + a. Is d a prime number?", "a": "False" }, { "q": "Suppose -4*g = -5*t - 1, -5*g = -2*t + 5*t - 29. Suppose -g*s + 2*y + y + 2021 = 0, -3*y + 524 = s. Let j = 2826 - s. Is j a composite number?", "a": "True" }, { "q": "Let x(d) = 17669*d**2 - 8*d + 10. Is x(1) prime?", "a": "False" }, { "q": "Let s(p) = -152*p**2 + 76*p**2 + 1163 - 3*p + 75*p**2. Is s(0) a composite number?", "a": "False" }, { "q": "Let a = 2124 - 1016. Suppose -6*w = 2*t - w - 1101, 2*t - 2*w - a = 0. Is t prime?", "a": "False" }, { "q": "Let k be 1/1*-5*3. Let f(j) = 2 - 3*j**2 - 3 - j**2 + 5*j**2 + 2*j + 0. Is f(k) a prime number?", "a": "False" }, { "q": "Let x = 6 - 4. Suppose -2*i + 5*i - 2*z = 8, i - x*z = 0. Suppose -i*d + 592 = -0*d + 2*r, -2*d + 292 = 3*r. Is d prime?", "a": "True" }, { "q": "Let o = -586 + 1453. Let r = -13 + 17. Suppose 5*x - o = -4*m, 0*x = -5*m - r*x + 1086. Is m prime?", "a": "False" }, { "q": "Let r(a) = a + 1. Let t(l) = -137*l + 21. Let h(z) = 4*r(z) + t(z). Is h(-16) a prime number?", "a": "True" }, { "q": "Let n(s) be the first derivative of -127*s**2/2 + 89*s - 51. Is n(-6) composite?", "a": "True" }, { "q": "Suppose -2*c - 303 = -3975. Suppose -c = -3*p - 3*p. Is (0 - (p + 1))/(-1) a composite number?", "a": "False" }, { "q": "Let j be (291 - 4)/((2 + -7)/(-5)). Suppose 813 = 2*d + j. Is d composite?", "a": "False" }, { "q": "Let z = -19403 + 74980. Is z a prime number?", "a": "False" }, { "q": "Let j be (-1*(-276)/(-2))/(6/(-76)). Let r = j - -239. Is r composite?", "a": "False" }, { "q": "Suppose 0 = -10*g + 69692 + 38669 - 22271. Is g a composite number?", "a": "False" }, { "q": "Let x = 4010 + -2002. Suppose 0*j = 5*j - 35. Suppose j*o + o = x. Is o composite?", "a": "False" }, { "q": "Let d = 1004 - 200. Let a = d + 229. Suppose -a - 590 = -3*i. Is i a composite number?", "a": "False" }, { "q": "Suppose -4*b + 4*j + 4664 = 0, b + 3*j = -j + 1166. Suppose -7*d - b = -9*d. Is d prime?", "a": "False" }, { "q": "Suppose f - 84880 = 40*q - 35*q, -424469 = -5*f + 2*q. Is f a composite number?", "a": "True" }, { "q": "Let q = -32034 - -74675. Is q a composite number?", "a": "False" }, { "q": "Let w = -71 - -100. Suppose -w*x + 26*x = -9. Suppose -2*o = 5*d - 1878 - 1323, -2*d - x*o = -1276. Is d prime?", "a": "True" }, { "q": "Is (94/47)/((-1)/(-2))*(-143054)/(-8) prime?", "a": "True" }, { "q": "Suppose 0 = -4*j + 157 + 119. Suppose 30 = 3*q + 3*r - 15, 5*q + 2*r - j = 0. Let l = -7 + q. Is l a composite number?", "a": "True" }, { "q": "Let q = 9855 - -796. Is q composite?", "a": "False" }, { "q": "Let l(r) = 29*r**2 + 2*r + 6. Let m be (2*2/(-12))/(3/(-18)). Suppose x + 2*a - 2 = 0, -2*a + 0*a = m. Is l(x) prime?", "a": "False" }, { "q": "Let i(o) = 729*o - 971. Is i(8) prime?", "a": "True" }, { "q": "Let k = 284 - 2240. Let d = -835 - k. Is d composite?", "a": "True" }, { "q": "Let h(f) = 62*f**2 - 21*f + 248. Is h(21) prime?", "a": "False" }, { "q": "Suppose 3*k - 12 = -3. Let g(y) = -3*y - 3*y**2 + 0*y**2 + 4 + 25*y**3 + 4*y**2. Is g(k) prime?", "a": "False" }, { "q": "Let d be 5/10 - 9/(-2). Suppose -5*x - d*u = -0*x - 10, -12 = -5*x - 3*u. Suppose x*c + w = 5*w + 581, -384 = -2*c + w. Is c a composite number?", "a": "False" }, { "q": "Let b be (2 - (-1 + 1))*284452/56. Suppose -5*w + b - 1044 = 0. Is w a prime number?", "a": "True" }, { "q": "Let t = 159 - 150. Let l(p) be the second derivative of p**5/20 - 5*p**4/12 + 5*p**3/6 + 6*p**2 - 2*p. Is l(t) a prime number?", "a": "False" }, { "q": "Suppose -2*j = 5*c - 309521, 5*j - 5*c - 460574 - 313176 = 0. Is j prime?", "a": "True" }, { "q": "Suppose 11 = -5*q + 36, -3*a = -2*q - 30341. Is a a composite number?", "a": "True" }, { "q": "Suppose 0*y = -2*y + 16*y - 10514. Is y a prime number?", "a": "True" }, { "q": "Let b = -101572 - -227639. Is b a prime number?", "a": "True" }, { "q": "Let d be (4/(-10))/((7 + -3)/(-77060)). Let w = 5691 + d. Is w a prime number?", "a": "True" }, { "q": "Suppose -3*l = 3*u - 22482, 5*u + 30003 = 9*l - 5*l. Let k = l + -4480. Is k a prime number?", "a": "False" }, { "q": "Suppose 4*f - 4*k = 3464, -3*f - 5*k + 702 = -1936. Suppose 2*i = -3*w + f, -i + 947 = 5*w - 493. Is w prime?", "a": "False" }, { "q": "Suppose -6 = -26*c + 23*c. Suppose b + c*x = -x + 10136, -2*b + 3*x = -20263. Is b prime?", "a": "True" }, { "q": "Let q be (-6)/(-42) - 334/(-14). Suppose -5*h = -1 - q. Is -2*(h/(-15) - 201/18) a composite number?", "a": "False" }, { "q": "Suppose -f + 58984 - 18216 = -12145. Is f composite?", "a": "True" }, { "q": "Let j(g) = 6*g + 5. Let x be j(3). Let z = x - 8. Suppose 19*p - z*p - 356 = 0. Is p a composite number?", "a": "False" }, { "q": "Suppose -2*y = -3*l + 83671, 0*l = 3*l + 4*y - 83695. Is l composite?", "a": "False" }, { "q": "Suppose 0 = -3*w, -3*k + 3*w + 17942 + 7891 = 0. Is k a composite number?", "a": "True" }, { "q": "Let c(q) = 58*q + 37. Suppose -145 - 35 = -12*t. Is c(t) a prime number?", "a": "True" }, { "q": "Let w(o) = -o**3 + 8*o + 10*o**3 - 57 - 10*o**3 + 27*o**2. Is w(27) prime?", "a": "False" }, { "q": "Let w = 159 - 156. Let b(i) = i**2 + i. Let d(z) = -49*z**2 - 4. Let j(p) = 6*b(p) - d(p). Is j(w) a composite number?", "a": "True" }, { "q": "Suppose 0 = 2*i - 4*m, -5*i + 3*m - 2*m = 0. Suppose y - 4*t + 5*t = 5, 2*y - t - 1 = i. Is 30 + y + (1 - -1) a prime number?", "a": "False" }, { "q": "Suppose -16 = 4*t, 21*t - 20*t = 4*o - 481080. Is o a prime number?", "a": "False" }, { "q": "Let z = -139 + 141. Suppose -z*t = 937 - 8631. Is t a composite number?", "a": "False" }, { "q": "Let p(g) = 4*g**2 - 2*g**2 + 3*g + 0 - 1 + 5*g**2. Suppose u + 22 = -3*n + 4, -5*u - 20 = n. Is p(u) composite?", "a": "False" }, { "q": "Suppose 4*y - 281799 = -5*h, 105*h + y = 102*h + 169085. Is h a prime number?", "a": "False" }, { "q": "Let q(d) = d**2 + 14*d - 24. Let y be q(-12). Let g be (-30)/3*y/5. Is (g/80)/(4/230) prime?", "a": "False" }, { "q": "Let o(k) = 41*k**2 + 5*k + 6. Let u be o(-6). Let g = 1179 + u. Suppose 21*i - g = 18*i. Is i composite?", "a": "False" }, { "q": "Suppose 0 = -11*r + 10*r + u - 562, 0 = -4*r + 3*u - 2248. Let y = r + 944. Is y prime?", "a": "False" }, { "q": "Suppose -4694 = -0*z - z - u, 4*z - 2*u - 18800 = 0. Let m = -1737 - -3730. Let p = z - m. Is p prime?", "a": "False" }, { "q": "Let u(q) = 8*q**2 - 24*q - 25. Let a(l) = l**2 - 2*l + 1. Let v(h) = -6*a(h) + u(h). Is v(11) a composite number?", "a": "False" }, { "q": "Let q(z) = z**3 - 8*z**2 - 32*z - 16. Suppose 2*u + a + 26 = 4*u, 2*u - 5*a - 10 = 0. Is q(u) a prime number?", "a": "False" }, { "q": "Let p(w) = -11*w**3 + 25*w**2 - 88*w - 703. Is p(-27) a prime number?", "a": "False" }, { "q": "Let c be 4 - -10*(-8)/20. Let x(s) = -s**3 + s**2 - 3*s + 4083. Is x(c) a composite number?", "a": "True" }, { "q": "Let p(s) = 472*s + 17. Suppose -2*m + 3*x = -4*m + 31, 0 = -m + 2*x - 2. Is p(m) a prime number?", "a": "True" }, { "q": "Suppose -2*c = 24*k - 26*k - 32648, -5*c + 81610 = -3*k. Is c composite?", "a": "False" }, { "q": "Suppose 0 = -b - 0*x - x + 5, -2 = -x. Suppose 0 = -4*y + 3*i + 13411, -4*i + 6799 = b*y - 3228. Is y a prime number?", "a": "False" }, { "q": "Let k be (-3)/(-1) + 12/4. Suppose -10060 = k*c - 16*c. Let b = -599 + c. Is b a prime number?", "a": "False" }, { "q": "Let z(y) = 38*y**2 - 37*y + 78. Is z(19) prime?", "a": "True" }, { "q": "Let n = -97 - -100. Suppose -4*a = -a + n, 3*q - 5113 = 4*a. Is q prime?", "a": "False" }, { "q": "Let x be ((-8)/(-6))/((-11)/198). Is ((-24872)/x)/((-1)/(-3)) prime?", "a": "True" }, { "q": "Is 16 - 17 - (-77523 - (0 + 3 + -2)) prime?", "a": "False" }, { "q": "Suppose 85*f + 78543 - 450126 - 738262 = 0. Is f a composite number?", "a": "True" }, { "q": "Suppose 0 = -16*x + 19*x - 1221. Suppose 10*d + d - x = 0. Is d prime?", "a": "True" }, { "q": "Let o = -284637 + 606980. Is o a composite number?", "a": "True" }, { "q": "Let j(q) = -13*q**3 - 32*q**2 + 6*q + 43. Is j(-12) prime?", "a": "True" }, { "q": "Let p(f) = -4100*f + 6. Let q be p(-3). Is q/12 - -3 - (-3)/(-2) composite?", "a": "True" }, { "q": "Let k = 14 + -11. Let q = 52 - 40. Is k/4 - ((-46389)/q)/7 composite?", "a": "True" }, { "q": "Suppose 4*n + 651210 = 2*w, 2*w + 39*n - 35*n - 651170 = 0. Is w prime?", "a": "False" }, { "q": "Suppose -155*y - 40*y = -18733845. Is y a composite number?", "a": "True" }, { "q": "Let f be (16/(-20))/((-4)/7790). Let z = -517 + f. Is z a composite number?", "a": "True" }, { "q": "Let z be ((-6252)/15)/((-6)/15). Let t = 2595 - z. Is t composite?", "a": "False" }, { "q": "Let d(z) = 4*z**2 - 18*z - 56. Let y be d(-8). Let n be (-1)/(-3) + (-320)/(-3). Suppose m = n + y. Is m composite?", "a": "True" }, { "q": "Let u(s) = s**3 - 2*s**2 + 3*s - 3. Let l be u(2). Suppose l*t = -6 - 6. Let d(x) = 14*x**2 + 15*x - 1. Is d(t) prime?", "a": "True" }, { "q": "Let t(c) = 3747*c**2 - 24*c + 28. Is t(-5) composite?", "a": "True" }, { "q": "Suppose 4*l + 2*r - 27 = -3, 3*l - 5*r = -8. Suppose 2*b - 2*s = 2174, 3*b - l*s = -2*s + 3261. Is b composite?", "a": "False" }, { "q": "Let s(c) = -84*c + 1. Let w be s(6). Suppose 32*v - 24004 = 66*v. Let t = w - v. Is t a composite number?", "a": "True" }, { "q": "Suppose 4*a = 1121 + 1625 - 534. Is a a composite number?", "a": "True" }, { "q": "Is 87/(-58)*(-2 - (-143)/3)*-1174 composite?", "a": "True" }, { "q": "Suppose -46*f = -43*f - 1125. Let q = f + -164. Is q a composite number?", "a": "False" }, { "q": "Suppose 13*q - 11*q = 0. Let w(c) = -19*c - 73*c + 1 + q*c - 118*c. Is w(-3) composite?", "a": "False" }, { "q": "Let g = -9 - -12. Let c = 791 - 301. Suppose 4*p = g*j + 2357 - c, -j + 472 = p. Is p a composite number?", "a": "True" }, { "q": "Suppose b - 3*f - 2*f = 5928, -2*b + 11826 = -4*f. Suppose -5*a = -15452 - b. Is a composite?", "a": "False" }, { "q": "Let z(g) = -92*g - 15. Suppose 39*b + 96 = 23*b. Is z(b) a prime number?", "a": "False" }, { "q": "Let p(g) = -4854*g - 1013. Is p(-8) a composite number?", "a": "True" }, { "q": "Let n(g) = -4073*g - 1572. Is n(-22) prime?", "a": "False" }, { "q": "Let u(z) = z**3 + 11*z**2 - 10*z - 7. Let y(p) = p**2 + 8*p + 9. Let q be y(-7). Let v be 969/(-133) - q/(-7). Is u(v) composite?", "a": "True" }, { "q": "Suppose 0*h = -w - 2*h + 316, 1560 = 5*w + 5*h. Let y = -68 + 7. Let r = y + w. Is r a prime number?", "a": "False" }, { "q": "Suppose 1860 = -4*m + 19*m. Let o = m + 2037. Is o a prime number?", "a": "True" }, { "q": "Suppose -2*x - 56874 = -2*c, -2*c - 2*c = 3*x - 113783. Is c a composite number?", "a": "True" }, { "q": "Let w(c) = c - 23. Let s be w(23). Suppose s = -d - 4*x - 15 + 218, -574 = -3*d - 5*x. Is d prime?", "a": "False" }, { "q": "Let j(d) = -d**2 + 15*d + 5. Let q be j(14). Let a = -16 + q. Suppose -a*x + 2*v + 1069 = -0*v, -x - 4*v = -375. Is x prime?", "a": "True" }, { "q": "Suppose -4*p = -10*q - 446854, 4*p - 708429 = -5*q - 261530. Is p prime?", "a": "True" }, { "q": "Let w(z) = -z**3 - z**2 + z. Let x(q) = -3*q**2 + 4*q + 11. Let n(c) = -w(c) + x(c). Suppose -88*f - 21 = -2*y - 89*f, f - 29 = -3*y. Is n(y) composite?", "a": "False" }, { "q": "Suppose 0 = 7*t - 4*t - 4*s - 27009, 5*t - 45001 = 2*s. Is t composite?", "a": "False" }, { "q": "Let x = -33 - -36. Let g(w) = 13*w**2 - 9*w**3 - 2*w - 14*w**2 - 7 + 2*w - x*w. Is g(-4) prime?", "a": "False" }, { "q": "Is (90062 + -48)/(28/(-21)*(-3)/10) prime?", "a": "False" }, { "q": "Suppose 2*m = 4*m. Let p(g) = g**3 - g**2 + 2*g - 447. Let y(h) = h**3 - h**2 + 2*h - 448. Let x(a) = -5*p(a) + 4*y(a). Is x(m) composite?", "a": "False" }, { "q": "Let l(s) = -s**2 - 5*s + 10. Suppose d = 5*o + 17, 2*o - 3*d - 3 = -2. Let p be l(o). Let z(i) = -i**2 + 30*i - 21. Is z(p) composite?", "a": "True" }, { "q": "Let w(t) = 103*t + 8. Let i be w(-6). Suppose -u = 2*u - r + 3544, 0 = -u - 4*r - 1177. Let z = i - u. Is z a prime number?", "a": "True" }, { "q": "Let p be 42 - (132/(-36) - (-4)/6). Is p/105 + (42444/(-14))/(-3) composite?", "a": "True" }, { "q": "Suppose 2*n - 253 = -6*n + 763. Is n a prime number?", "a": "True" }, { "q": "Suppose 0 = -3*u + 5*u. Suppose 5426 = 5*t - 3*v, u*t = t + v - 1090. Is t a prime number?", "a": "True" }, { "q": "Let h = 90109 - -52588. Is h a composite number?", "a": "False" }, { "q": "Let q(j) = 2084*j**3 + 2*j**2 + 3*j - 10. Is q(3) a composite number?", "a": "True" }, { "q": "Let z = 6 - 2. Let q = 1480 + -1477. Suppose 0 = -3*l + q*v + 1296, z*l - 2638 = -v - 915. Is l a prime number?", "a": "True" }, { "q": "Let k = -6071 - -3121. Is 8/((-16)/k) + 6 a composite number?", "a": "False" }, { "q": "Suppose -2*h + 20479 = -13469. Suppose 0 = -12*z + h - 2970. Is z composite?", "a": "True" }, { "q": "Let z = -156 + 172. Is (-8)/z - ((-10351)/2 - -2) a composite number?", "a": "True" }, { "q": "Let i = -29 + 20. Let g(k) = -k**3 - 6*k**2 + 4*k + 3. Let d be g(i). Is 3*d - -3 - -2 a prime number?", "a": "False" }, { "q": "Let o be (129*47)/((-13)/52). Let b = -16847 - o. Suppose -6*n + n + b = 0. Is n a composite number?", "a": "False" }, { "q": "Suppose -81*i - 23506 = 20720. Let g = -3745 + 5406. Let r = i + g. Is r a composite number?", "a": "True" }, { "q": "Let i = 2918 - -6303. Is i composite?", "a": "False" }, { "q": "Suppose -25*f - 3*f = -8659 - 34545. Is f composite?", "a": "False" }, { "q": "Suppose 0 - 5 = -b. Suppose -277 = b*y - 33707. Is y a composite number?", "a": "True" }, { "q": "Let a(d) = 407*d - 7. Let c be a(-7). Let r = c - -6643. Is r a composite number?", "a": "True" }, { "q": "Suppose -4*x + 158814 = -d, 16*d - 17*d = 2. Is x composite?", "a": "False" }, { "q": "Let o(s) = 794*s**2 - 33*s - 21. Is o(-8) composite?", "a": "False" }, { "q": "Suppose g + 5*i - 108 = 0, 4*i + 108 = g - 0*i. Is (g + -125)/(1*(-2)/134) a composite number?", "a": "True" }, { "q": "Suppose 7*a = -4231 + 16423 + 15577. Is a prime?", "a": "True" }, { "q": "Suppose 5*n + 38*n - 38771 = 103688. Is n composite?", "a": "False" }, { "q": "Let m = 49 + -46. Let s be (3/(-6))/(m/(-12)). Is (s/3)/((-4)/(-2514)) a composite number?", "a": "False" }, { "q": "Let r = 7 + -4. Suppose 3*f - r = 12, -2*m + 2217 = -5*f. Let h = 1914 - m. Is h a composite number?", "a": "True" }, { "q": "Let b = 17 - 12. Suppose 0*n - b*x = n - 2332, -4*x - 4622 = -2*n. Is n prime?", "a": "False" }, { "q": "Let a be (2/7)/(42/31458). Let i = -69 + a. Is i prime?", "a": "False" }, { "q": "Suppose 3*m + 131 = 4*s - 2*m, 2*s + 3*m - 49 = 0. Is 2 + s*(-2 - -165) a prime number?", "a": "True" }, { "q": "Let q(t) = 394*t**2 + 48*t - 743. Is q(12) a prime number?", "a": "True" }, { "q": "Suppose -4*c - 3*z = -3741, -c + 699 = -5*z - 219. Let r = c + -343. Suppose 5*s - 1175 = r. Is s a composite number?", "a": "False" }, { "q": "Let m = -87265 + 126672. Is m a composite number?", "a": "True" }, { "q": "Suppose 25 = 3*p + f, -4*p + 29 = 3*f - 6*f. Let a = p + 38. Suppose -a*u = -45*u - 79. Is u a prime number?", "a": "True" }, { "q": "Is 1/(-6)*-4*(2988196/8 + 1) prime?", "a": "True" }, { "q": "Suppose -5*n = -3*h - 49, -5*h - n = 2 + 61. Let d(q) = -q + 1. Let z(j) = -10*j + 12. Let x(o) = -6*d(o) + z(o). Is x(h) prime?", "a": "False" }, { "q": "Suppose 4*r = -5*m + 627259, -r + 138314 = -3*m - 18488. Is r prime?", "a": "False" }, { "q": "Suppose -5*a + 116 = 51. Suppose 4*u + 6797 = 5*x, -a*x - 2*u - 1363 = -14*x. Is x a prime number?", "a": "False" }, { "q": "Suppose 5*r - 2*y = -970, -7*y + 970 = -5*r - 2*y. Let w = -71 - r. Is w prime?", "a": "False" }, { "q": "Suppose -92 - 188 = -40*k. Let z(n) be the first derivative of 11*n**3/3 + 3*n**2 + 2*n - 1. Is z(k) a composite number?", "a": "True" }, { "q": "Suppose 9*x + 5362 - 8815 = 16752. Is x composite?", "a": "True" }, { "q": "Suppose -4*x - 2 = r - 0*x, 4*r = -2*x - 8. Is 2*(-3 + -3086)*1/r a composite number?", "a": "False" }, { "q": "Let m = 3 + -5. Let q(u) = -u + 1. Let z be q(m). Suppose -188 + 56 = -t + w, z*t - 366 = -3*w. Is t a prime number?", "a": "True" }, { "q": "Let m(q) = 2*q - 4. Let a be m(-22). Is 8402/((-4)/(-18) + a/(-27)) composite?", "a": "False" }, { "q": "Is 25257/(-1)*1717/(-303) a prime number?", "a": "False" }, { "q": "Let h(z) = -z**2 - 18*z - 1. Let t(c) be the first derivative of 7*c**2/2 + 7*c + 10. Let q be t(-3). Is h(q) a prime number?", "a": "False" }, { "q": "Let l = 54 + -85. Let o = 33 + l. Is (-187)/(-1)*(o + -1) composite?", "a": "True" }, { "q": "Let t(h) = -h + 10. Let a be t(2). Suppose 2*r + a = -u, -5*u - 2*r - 5 = r. Is -1 + -2 + 3 - (u + -213) prime?", "a": "True" }, { "q": "Let l(d) = -10*d + 5. Let y(o) = o**2 + 8*o - 5. Let c be y(-7). Let i be (-27)/(-12)*32/c. Is l(i) a prime number?", "a": "False" }, { "q": "Let k(b) = -2*b - 26. Let m be k(-22). Let r = m + -20. Is (-620)/(-6) + r/12*2 a composite number?", "a": "False" }, { "q": "Suppose 0 = -119*l + 41*l + 129246. Is l composite?", "a": "False" }, { "q": "Suppose -8*q - 628421 = 2*q - 2428131. Is q prime?", "a": "False" }, { "q": "Let y(w) = -w**3 - 25*w**2 + 101*w - 131. Is y(-46) prime?", "a": "True" }, { "q": "Suppose 50*h - 1614 = 52*h. Is -10 + 4 - (2 + h) a prime number?", "a": "False" }, { "q": "Let q(h) = h**3 - 13*h**2 + 14*h - 21. Let u be q(12). Suppose -m - u*m = -48. Is (2391/m)/(6/24) prime?", "a": "True" }, { "q": "Let v(q) = 544*q**2 + 3*q + 7. Let o be v(-3). Let l = -401 + o. Is l a prime number?", "a": "True" }, { "q": "Suppose v - 1743 = -r + 303, -3*r + 6*v + 6165 = 0. Is r a composite number?", "a": "True" }, { "q": "Let u = -516012 + 733211. Is u a composite number?", "a": "False" }, { "q": "Let f(w) = w**2 - 14*w - 15. Let t be f(15). Suppose t = -14*u + 8*u + 9510. Is u a composite number?", "a": "True" }, { "q": "Suppose -z + n + 98682 = 0, -6*z - 5*n + 394692 = -2*z. Is z a composite number?", "a": "True" }, { "q": "Is (98492 + 1)*(5 + 196/(-42)) a composite number?", "a": "False" }, { "q": "Let k(d) = d**2 - 8*d + 17. Let v be k(4). Let h(x) = -x**2 - x - 1. Let n(b) = -b**2 + 14*b - 23. Let a(y) = v*n(y) - 5*h(y). Is a(13) a composite number?", "a": "True" }, { "q": "Suppose 0 = u + 4*d - 42, -148 = -4*u - 3*d + 7. Let w(i) = -20 - u*i + 26*i - 42*i + 7. Is w(-5) composite?", "a": "False" }, { "q": "Let g(s) = -s**2 - 12*s - 25. Let u be g(-9). Is ((-60871)/(-58))/(u/4 + 0) a prime number?", "a": "True" }, { "q": "Let z(k) = -53*k**3 - 8*k**2 + 40*k + 131. Is z(-6) composite?", "a": "True" }, { "q": "Suppose t - 3*i + 28 = -7, -5*t = 4*i + 137. Let x be 7/(2*(-2)/(-12)). Is t/(x/(-5) + 4) composite?", "a": "True" }, { "q": "Let f(c) = c**2 + c + 5. Let b be f(0). Suppose -4*h - 2*r + 10900 = 0, -435*h + 437*h = 2*r + 5456. Suppose 4*y = b*j + 1616, -4*j = 5*y - h + 665. Is y prime?", "a": "True" }, { "q": "Let z be -17 + 16 - 11*-1*1. Suppose 2*w = -z, -3*g - w = -7381 + 2118. Suppose 2*b = -2*b + g. Is b a composite number?", "a": "False" }, { "q": "Let o = -88129 - -171896. Is o prime?", "a": "False" }, { "q": "Let u(p) = -p**2 - 16*p - 15. Let w(f) = -f. Let c(d) = u(d) - 5*w(d). Let o be c(-10). Is 6/30 - o/(50/7008) a composite number?", "a": "False" }, { "q": "Let h(u) = 591*u - 49*u + 740*u - 57. Is h(5) composite?", "a": "False" }, { "q": "Let i(a) be the first derivative of 11*a**3 - 5*a**2/2 - 2*a - 13. Let c be i(7). Let r = c + -901. Is r prime?", "a": "False" }, { "q": "Let j(r) = -169*r**3 + 2*r**2 - 7*r + 5. Let f be j(2). Let s = 1354 - f. Is s composite?", "a": "False" }, { "q": "Let l be (-2)/(-3) + ((-28)/(-12))/1. Let g be (89/(-2))/(l/(-78)). Suppose -g = -2*f - 87. Is f composite?", "a": "True" }, { "q": "Suppose d - 13 = -0*d. Suppose -4*g - d - 27 = 0. Is g/6*-551 + (-2)/(-3) a composite number?", "a": "False" }, { "q": "Let u = -52472 + 159063. Is u a prime number?", "a": "True" }, { "q": "Let i = 21 + 4. Let h be 5/i + (-7947)/(-15). Is (-2 + -1)*h/(-6) a composite number?", "a": "True" }, { "q": "Suppose 0 = 2*o - 3*f + 99, 146 = -4*o + 4*f - 50. Is ((-9376)/o)/(2/3) a prime number?", "a": "True" }, { "q": "Let t = -30 + 30. Suppose 0 = m - 3*u - 4, m - 2*m - 3*u + 4 = t. Is m*160 - ((-2)/1)/2 prime?", "a": "True" }, { "q": "Suppose -w - 39078 = -5*s - 12140, -2*w + 16155 = 3*s. Let y = 9078 - s. Suppose 4580 = 5*p + 5*q, -3*p - p + 5*q = -y. Is p a prime number?", "a": "True" }, { "q": "Is 2/(-3)*2*(-93354)/8 a prime number?", "a": "True" }, { "q": "Let c(n) = 69*n**2 + 3*n - 9. Let l be c(6). Let r = 86 + l. Is r composite?", "a": "False" }, { "q": "Suppose 4*g - 4760 - 25517 = 5*y, y - 7558 = -g. Is g composite?", "a": "True" }, { "q": "Let q be (1 + 21747/15)*20/2. Suppose -7*t + 6*t = -r - 3635, 4*t = -4*r + q. Is t prime?", "a": "True" }, { "q": "Let h(y) = -9*y**3 - y**2 - 4*y + 20. Let z be h(-9). Suppose 5*k - k - z = 0. Let g = -876 + k. Is g a prime number?", "a": "False" }, { "q": "Suppose 3*w - 9 - 6 = 0, 3*f + 4*w - 61433 = 0. Is f a prime number?", "a": "False" }, { "q": "Suppose -592 = -2*h - 2*h. Suppose w - 35 - 53 = 3*j, -2*w + h = j. Suppose w + 112 = 2*n. Is n composite?", "a": "True" }, { "q": "Let o be (-4353 + -2)*(2 - (-6 + 27)). Suppose -17*k + 18218 = -o. Is k composite?", "a": "False" }, { "q": "Suppose -21*c - 29951 = 38803. Is 27/(-18)*c/3 prime?", "a": "True" }, { "q": "Let b = 12838 - 6771. Is b prime?", "a": "True" }, { "q": "Let u = -28 + 30. Suppose -u*k - 9 = -15. Suppose 5115 = k*f + 1716. Is f prime?", "a": "False" }, { "q": "Suppose -p - 3*x = 3*p - 505197, -p - 4*x = -126283. Is p prime?", "a": "False" }, { "q": "Let t = 32243 + -22587. Suppose 8*g = 7968 + t. Is g a prime number?", "a": "True" }, { "q": "Suppose -3*s - 2*p = -23, -7*p = -6*p - 4. Suppose -3*y = s*x - 11179 + 2812, x = 0. Is y composite?", "a": "False" }, { "q": "Let l(i) = 2317*i + 1941. Is l(8) a prime number?", "a": "True" }, { "q": "Let x(g) = -12*g**3 - 20*g**2 - 43*g - 23. Let k(p) = -17*p**3 - 30*p**2 - 64*p - 35. Let j(m) = 5*k(m) - 7*x(m). Is j(-8) a composite number?", "a": "True" }, { "q": "Let d(j) be the second derivative of 2*j**5/5 - 13*j**4/12 + 11*j**2/2 - 17*j. Is d(10) composite?", "a": "True" }, { "q": "Suppose 2*b = -5*u + 25766, -b - 21*u = -18*u - 12881. Is b a prime number?", "a": "True" }, { "q": "Suppose 0 = 5*g - 4*i - 45, 2*g - 27 = -g - i. Suppose g*w = 3*w. Suppose -5*d - 3*p + 3607 - 402 = 0, 5*d + 4*p - 3205 = w. Is d composite?", "a": "False" }, { "q": "Let f(d) = 479*d**3 + 6*d**2 - 4*d + 4. Is f(3) a composite number?", "a": "False" }, { "q": "Let w(n) = 2*n**3 + 13*n**2 - 6*n - 14. Let l(h) = -h**3 + h**2 - 1. Let k(i) = -3*l(i) - w(i). Let a be k(16). Suppose -779 = -4*t + a. Is t a prime number?", "a": "True" }, { "q": "Suppose -2*k = 2*v - 12137 - 152773, -k = -4*v - 82465. Is k prime?", "a": "True" }, { "q": "Suppose 4*t = y + 2197, -5*y - 5*t = -3*y + 4342. Let r = -782 - y. Is r composite?", "a": "False" }, { "q": "Let o = 39 - 34. Let m(s) = 20*s**2 - 14*s + 16. Is m(o) composite?", "a": "True" }, { "q": "Suppose -5*h = 5*l - l + 37527, -2*l - 18771 = 5*h. Let q = l - -16985. Is q prime?", "a": "True" }, { "q": "Let m be ((-4)/(-5))/((-5)/(-150)*4). Suppose -8*g + m*g = 8. Is ((-2 + -2)/g)/(2/1730) a composite number?", "a": "True" }, { "q": "Suppose -5*r - 4*v = -7, 2*r + 5*v = -r - 1. Suppose r*j = 4*j + 8. Is (-565)/2*j/10 composite?", "a": "True" }, { "q": "Suppose 5*c = 2*y - 177041, 20*y - 18*y + 4*c = 177014. Is y a composite number?", "a": "False" }, { "q": "Let k = 430749 - 259300. Is k a prime number?", "a": "True" }, { "q": "Let d(w) = 5*w**2 + 6*w - 13*w**3 + 8*w - 13*w**2 - 4*w + 9. Is d(-4) a prime number?", "a": "True" }, { "q": "Let b(v) be the third derivative of v**4/24 + 12*v**2. Let a(t) = -t**2 - 4*t - 21. Let l(o) = -a(o) + 6*b(o). Is l(-14) composite?", "a": "True" }, { "q": "Let d be (-4)/5*(-10)/(-4). Let y be (-1)/d*(2 + 0). Let k(t) = 470*t**3 - 2*t**2 + 4*t - 3. Is k(y) a composite number?", "a": "True" }, { "q": "Suppose -q + 3*c = -5*q - 192, -4*q + 2*c = 192. Is 50953/63 + (2 - q/(-27)) prime?", "a": "True" }, { "q": "Suppose 2*v + 670794 = 4*r, 8*r - 1284771 = -v + 56842. Is r a composite number?", "a": "True" }, { "q": "Let k(b) = 3*b - 38*b**2 + 5 - 1 + 395*b**2 + 19*b**2. Let w be k(-3). Suppose 3*h + w = 5*s - 340, -2*s - 3*h + 1496 = 0. Is s prime?", "a": "False" }, { "q": "Suppose 3*n = -a + 9 + 5, n - 3*a + 12 = 0. Let o(f) = 152*f**2 + 3*f - 11. Let r be o(-4). Suppose -r + 318 = -n*h. Is h a prime number?", "a": "False" }, { "q": "Let k be ((-1)/(6/(-60284)))/(4/18). Suppose -15*u - k = -18*u. Is u composite?", "a": "True" }, { "q": "Suppose 4*h + 2933 = 3*s - 0*s, -s = 4*h - 951. Let p = s + 196. Is p composite?", "a": "True" }, { "q": "Suppose 0 = -f + 2*r + 476, 4*f - 2049 + 124 = r. Suppose 486*g - 7636 = f*g. Is g composite?", "a": "True" }, { "q": "Suppose 0 = 4*t + 2 - 10. Suppose -l - 2*s - 7 = 5, 4*l + 3*s + 73 = 0. Is (-1281 - (t - 1))*11/l a prime number?", "a": "True" }, { "q": "Let p = -32846 + 57180. Suppose -9*c + p = -39017. Is c a composite number?", "a": "False" }, { "q": "Let c(a) be the third derivative of a**5/60 - 7*a**4/12 + 41*a**3/3 + 70*a**2. Is c(15) prime?", "a": "True" }, { "q": "Let s(m) = 2*m**3 + 4*m**2 - 6*m + 5. Let v be s(-9). Let a = 286 - v. Is a a prime number?", "a": "True" }, { "q": "Let x(a) = 5683*a - 38. Is x(1) a composite number?", "a": "True" }, { "q": "Let v = 4331 - -28926. Is v a composite number?", "a": "True" }, { "q": "Let j(s) = -112*s**3 - 5*s**2 + 39*s + 297. Is j(-7) a composite number?", "a": "True" }, { "q": "Let x(g) be the second derivative of 69*g**4/4 + g**3/2 + 11*g. Let p be x(-2). Is 9/((-45)/(-10))*p/4 prime?", "a": "False" }, { "q": "Let t = -178 - -182. Suppose t*d + 1096 = 2*b, -3*b + 2*d + 907 = -749. Is b a composite number?", "a": "True" }, { "q": "Suppose -54*y = -49*y - 20. Suppose 8511 = y*x - i + 2*i, 0 = 3*x + 5*i - 6362. Is x prime?", "a": "True" }, { "q": "Let s(r) = 6*r**3 - 8*r**2 + r - 11. Is s(3) a composite number?", "a": "True" }, { "q": "Let x(g) = -3*g**3 + 5*g**2 - 3*g + 38. Let n be x(14). Is ((-2)/8)/(8 - (-58050)/n) a prime number?", "a": "True" }, { "q": "Is ((2384/(-36))/((-2)/3))/((-6)/(-6543)) a prime number?", "a": "False" }, { "q": "Let i(f) = 45*f**2 + 3*f - 8. Let v be i(3). Suppose n = 5*n, 2*n = -2*m + v. Is m composite?", "a": "True" }, { "q": "Let n(k) be the third derivative of -k**4/24 + k**3/6 + 13*k**2. Let o be n(-1). Is -4 + 132 + 6/o prime?", "a": "True" }, { "q": "Let f(s) = 2076*s - 65. Is f(6) a composite number?", "a": "False" }, { "q": "Let m = -2 - -8. Let z(v) = m*v**2 + 9 - 4 + 9*v**2 - 5*v. Is z(2) a composite number?", "a": "True" }, { "q": "Let v = 7392 - 1545. Suppose -2*n = n - v. Is n composite?", "a": "False" }, { "q": "Suppose -7*b + 8 - 15 = 0. Is (b - 0)/(1*(-3)/4101) composite?", "a": "False" }, { "q": "Suppose -17*t = -t - 718384 - 518848. Is t a composite number?", "a": "True" }, { "q": "Suppose p = 5*u - 122943, 13*p - 2 = 12*p. Is u composite?", "a": "True" }, { "q": "Suppose 8*g + 13838 = -9*g. Let q(b) = -45*b**2 + 2*b - 2. Let z be q(3). Let t = z - g. Is t a composite number?", "a": "True" }, { "q": "Suppose 4*n + 13440 = -5*a, 2*a + 5*n = 2*n - 5369. Is -14*a/8 - (-2)/(-1) a composite number?", "a": "True" }, { "q": "Suppose 2*y + 5*o - 2447 = 1146, 3*o - 3587 = -2*y. Let j = y + 3213. Suppose j = 5*h + 437. Is h prime?", "a": "False" }, { "q": "Suppose -x = -5*o + 2*x + 85, -4*o = x - 68. Let b(t) = 6*t + 36. Let h(l) = 1. Let d(i) = b(i) + 5*h(i). Is d(o) a prime number?", "a": "False" }, { "q": "Let k(f) = f**2 + f - 16. Let g be k(-4). Let j be (-1)/(-2) - 6/g. Is (-2)/(j/5*(-5)/131) prime?", "a": "True" }, { "q": "Suppose 0 = -4*h - 6005 + 781. Let p = -455 - h. Is p a prime number?", "a": "False" }, { "q": "Suppose -10 = -2*q, 5*q - 4*q - 15 = 5*u. Is (5968/(-48))/(u/18) a prime number?", "a": "False" }, { "q": "Let j(g) = 520*g + 77. Let i(m) = m**3 - m**2 + m - 2. Let o be i(2). Is j(o) a composite number?", "a": "True" }, { "q": "Suppose 6 = -0*z - 2*z, -4*z = -n + 4215. Let f = n + -2238. Suppose 5*c - f - 6320 = 0. Is c a composite number?", "a": "False" }, { "q": "Let j = 37999 - 26846. Let t = j + -6150. Is t a prime number?", "a": "True" }, { "q": "Let l = -10024 + 14115. Let q = 7296 - l. Is q prime?", "a": "False" }, { "q": "Suppose 59*n + 17602723 = 163*n + 930795. Is n prime?", "a": "False" }, { "q": "Let c(z) = -2*z**3 + 8*z**2 - 3. Let g be c(-7). Let t = 1524 - g. Is t composite?", "a": "False" }, { "q": "Let j(v) = 22*v - 15 + 9 + 7. Is j(4) prime?", "a": "True" }, { "q": "Suppose -5*w + x + 14 = 0, x + 4*x = 2*w - 1. Suppose -5*n = p - 11707, -8*n + w*n - 2*p = -11704. Is n a composite number?", "a": "True" }, { "q": "Let q be 0 - -4*748/(-8). Let k = q - -1160. Is k/10 + ((-3)/5 - -1) composite?", "a": "False" }, { "q": "Suppose 58*o = 130*o - 55*o - 3742091. Is o a prime number?", "a": "True" }, { "q": "Let r be (-2 - -2)*(9 + -8). Suppose 5*g - 11480 = -3*f, -4*g + r*f + 9182 = 2*f. Is g a composite number?", "a": "False" }, { "q": "Suppose 16 - 36 = -5*w. Suppose 658 = -2*n - 3*l + 31973, -78291 = -5*n - w*l. Is n a prime number?", "a": "False" }, { "q": "Let y(t) = 22*t + 25. Let p be y(-23). Let u = p - -1512. Is u composite?", "a": "False" }, { "q": "Is (-321)/(-214) + 66779/2 a prime number?", "a": "True" }, { "q": "Let g(d) = -d**2 + 4*d. Let h = -18 + 21. Let z be g(h). Suppose 0 = -2*v + z*f + 20, -5*v = -2*f - f - 50. Is v a composite number?", "a": "True" }, { "q": "Is (-62)/3*(-22155)/70 composite?", "a": "True" }, { "q": "Let a = 172657 - 29288. Is a a composite number?", "a": "True" }, { "q": "Let x = 113280 - 65158. Is x a prime number?", "a": "False" }, { "q": "Is (-17)/((-1632)/1633032) + 2/16*2 composite?", "a": "False" }, { "q": "Suppose 6*a + 0*a = 18. Suppose a*z = -n + 470, 2*n = -3*n + 25. Is (2/(-4) - 22/(-20))*z prime?", "a": "False" }, { "q": "Let w(s) = 97*s**2 + 90*s - 17. Is w(20) prime?", "a": "True" }, { "q": "Suppose 106*l + 4 = 105*l. Is (l - 1435)*(0 + -1) prime?", "a": "True" }, { "q": "Let j(a) = -7*a + 27. Let i be j(3). Is (-3489)/(-9)*i + 3 composite?", "a": "True" }, { "q": "Let z(u) = 776*u**2 - 16*u - 85. Is z(-6) composite?", "a": "False" }, { "q": "Let d(m) = m**2 + 6*m + 4. Let z be d(-4). Let o be -4*(z/10 + 7/(-70)). Is 1*(334 + 1) - 0/o prime?", "a": "False" }, { "q": "Let f = 8694 + -4271. Is f composite?", "a": "False" }, { "q": "Let f(n) = n**2 - 6*n + 4. Let b be f(31). Let v = 1306 - b. Is v a prime number?", "a": "False" }, { "q": "Suppose 4913 = 4*m + k + 89, -5*k - 1227 = -m. Let q = -648 + m. Is q prime?", "a": "False" }, { "q": "Let o(q) = 243*q + 29. Let v be ((-63)/(-77) - 1) + 90/11. Is o(v) prime?", "a": "True" }, { "q": "Suppose -4*w - 3*f = w - 44, -2*f = 2*w - 16. Suppose -19*q + 15*q = -10956. Suppose -q + 7949 = w*a. Is a a composite number?", "a": "False" }, { "q": "Suppose 285225 = 22*w - 7*w. Let p = w - 12894. Is p prime?", "a": "True" }, { "q": "Suppose -f - 1076 = -3*f. Let g = f - 247. Is g composite?", "a": "True" }, { "q": "Is 2/9*18129437/58 + (-12)/27 a composite number?", "a": "True" }, { "q": "Let x(f) = 11*f - 74. Let n be x(7). Suppose -4*k - 99 = -3*d + 1448, -2072 = -4*d + n*k. Is d a composite number?", "a": "False" }, { "q": "Let q(f) = -3*f**2 - 4*f + 1 - 2*f - 21*f**3 + 4*f. Let a = -354 - -352. Is q(a) a composite number?", "a": "True" }, { "q": "Let f be 4*(-14)/(-4) + -4. Suppose 10228 = -f*m + 14*m. Is m composite?", "a": "False" }, { "q": "Suppose -2*v = -2*y + 18621 - 5627, 5*y = -2*v + 32520. Is y composite?", "a": "True" }, { "q": "Suppose 6*i + 4*i - 55613 = 9*i. Is i a composite number?", "a": "True" }, { "q": "Let j(r) = 5388*r**2 + r + 68. Is j(3) a prime number?", "a": "True" }, { "q": "Suppose 22 = -i + 156. Let s = 465 - i. Is s composite?", "a": "False" }, { "q": "Suppose -4*q - 7808 = -4*y, 4*y + 3*q = 2*q + 7788. Let w = -39 - -42. Suppose -w*h + y = 4*p - 0*h, -p + 487 = -4*h. Is p a prime number?", "a": "True" }, { "q": "Let u(n) = -161*n**3 + 15*n**2 + 16*n + 53. Is u(-5) a composite number?", "a": "True" }, { "q": "Let j(h) = h**3 + 5*h**2 - h. Let b be j(-5). Suppose 0 = b*u - u - 3*u. Suppose u*r - 2961 = -9*r. Is r composite?", "a": "True" }, { "q": "Suppose 2*z = 8*z - 288. Suppose 42*p - z*p + 10518 = 0. Is p a prime number?", "a": "True" }, { "q": "Let q(l) = -627*l**2 - 16. Let h(b) = -b**2 - b + 2. Let v(y) = -6*h(y) - q(y). Is v(-1) prime?", "a": "True" }, { "q": "Let r(p) = -292*p - 28. Let y be r(4). Let j = -561 - y. Is j a prime number?", "a": "False" }, { "q": "Suppose -3*a + 7*w - 3*w = 10, 2*a + w = 8. Suppose -2*b + 6076 = a*t + 3*b, b - 15213 = -5*t. Is t composite?", "a": "True" }, { "q": "Let b(p) = p**2 + 9*p + 13. Let q be b(-8). Suppose 13*s + q*s = 41058. Is s a prime number?", "a": "True" }, { "q": "Suppose 0 = -4*d + 3*u + 68171, -4*d = 2*u - 72466 + 4280. Suppose d = 15*f - 8*f. Is f a composite number?", "a": "True" }, { "q": "Suppose 5*p + 92 = -3*u + 26, 2*p = -3*u - 30. Let l(w) = -89*w + 123. Is l(p) prime?", "a": "False" }, { "q": "Let c be (-20)/(-110) + (-334)/22. Let h = 243 + c. Suppose h = -0*a + 4*a. Is a prime?", "a": "False" }, { "q": "Let p be (-4)/(-3) - (-6 + 32/6). Suppose 0*v - 4*v = p*f - 3698, -4609 = -5*v + 2*f. Is v composite?", "a": "True" }, { "q": "Suppose 24 = 3*s - 3*q - 66, -s - 3*q + 34 = 0. Let u = s - 31. Suppose u = 4*g - 3595 - 2889. Is g prime?", "a": "True" }, { "q": "Let b(g) = 5*g**2 - 3. Let c(x) = -2*x**2 + 2. Let a(z) = -3*b(z) - 5*c(z). Let q be a(-1). Is ((-333)/q)/3*2 a composite number?", "a": "False" }, { "q": "Let k(n) = 5*n**2 + 60*n + 450. Is k(49) prime?", "a": "False" }, { "q": "Suppose -2*y = -13*q + 645621, -2*q + 248316 = 3*q - y. Is q composite?", "a": "False" }, { "q": "Is 2220410/40 - 1/((-28)/21) a composite number?", "a": "False" }, { "q": "Suppose -117538 = -4*h - 2*j, -h + 24 + 29344 = -5*j. Is h a composite number?", "a": "False" }, { "q": "Suppose 14*f + 54*f = -42*f + 38063410. Is f a prime number?", "a": "False" }, { "q": "Let w(g) be the first derivative of g**4/4 - 7*g**2/2 + 7*g + 17. Let k be w(7). Let j = k + -144. Is j a composite number?", "a": "False" }, { "q": "Let q(l) = 1432*l + 26. Let x be q(5). Suppose b + x = 2*p, 6*b + 3593 = p + 10*b. Is p composite?", "a": "False" }, { "q": "Let b(z) = 139*z**2 - 4*z + 4. Suppose 0 = -3*g + 2*f - 129, g + 0*f + 38 = -f. Let v = g - -38. Is b(v) a composite number?", "a": "True" }, { "q": "Suppose 0*n = n + 9. Let k(c) = 7*c**2 - 15*c - 14. Let t be k(n). Suppose -t = 2*q - 2502. Is q a composite number?", "a": "False" }, { "q": "Let a = -42 + 45. Suppose 19670 = 5*n + a*g, -3*n + 6*g - g + 11836 = 0. Is n a composite number?", "a": "True" }, { "q": "Let l(n) = -7*n - 2847. Let b(c) = 2*c + 1. Let g(m) = -6*b(m) - l(m). Is g(0) a prime number?", "a": "False" }, { "q": "Let w = 1563 + 271. Suppose 8*z = 4*z + 2*f + 2446, -f = -3*z + w. Is z a composite number?", "a": "True" }, { "q": "Let x be (3989 - 7) + 5 - (1 - -2). Suppose -v = 5*w + v - 6659, 3*w + 5*v = x. Is w composite?", "a": "True" }, { "q": "Suppose -33*g + 228474 = 14403. Is g prime?", "a": "False" }, { "q": "Suppose -5*l - 5 = 3*q, 5*l + 4 + 1 = q. Let k(r) = -2209*r**3 - 2*r - 2. Is k(l) a composite number?", "a": "True" }, { "q": "Let h = -41 - -70. Let i = h + -28. Let v(p) = 202*p**2 + p - 2. Is v(i) prime?", "a": "False" }, { "q": "Let m be 12*((-30483)/6)/(-9). Suppose 0 = -280*h + 282*h - m. Is h a composite number?", "a": "True" }, { "q": "Let l(a) = -a**2 + 7*a - 4. Let j be l(6). Let q(n) = -16*n - 5*n**3 + 11*n + j + 3. Is q(-8) a prime number?", "a": "False" }, { "q": "Suppose 45*t = -23*t + 1191292. Is t a composite number?", "a": "False" }, { "q": "Let n(d) = 3277*d**2 - 4*d + 3. Let o(t) = t**2 + t - 1. Let c(m) = n(m) - 5*o(m). Is c(1) a composite number?", "a": "False" }, { "q": "Suppose -2*q - 4*n + 99806 = 0, 59638 + 40192 = 2*q - 4*n. Is q a composite number?", "a": "True" }, { "q": "Let c(d) = -326*d - 1051. Is c(-75) composite?", "a": "False" }, { "q": "Is ((-15)/6)/(61/(-1241594)) prime?", "a": "False" }, { "q": "Let g(a) = -28*a**2 + 2*a - 5. Let f(w) = -4*w + 16 + 85*w**2 - 3*w + 2*w. Let n(p) = 6*f(p) + 17*g(p). Is n(6) prime?", "a": "True" }, { "q": "Suppose 0 = 4*a - 5*a - 5*l + 57, -4*a - 5*l + 183 = 0. Let b = -66 - a. Let v = b + 977. Is v composite?", "a": "True" }, { "q": "Is (-190791 + 1)*(-3 + 20/8) a composite number?", "a": "True" }, { "q": "Let w be -4 + 5/(5/(-3)). Let p(o) = 18*o + 10. Let g be p(w). Is (-3)/(-1) + (2 - g) composite?", "a": "True" }, { "q": "Suppose 0 = -3*d + 3*w + 63384, d = -5*w + 15876 + 5282. Is d a prime number?", "a": "False" }, { "q": "Suppose 6*g - 92608 = -1996. Suppose g = 10*y - 4*y. Is y a composite number?", "a": "True" }, { "q": "Let o be (-304)/(-64) - (-1)/4. Suppose -f - o = -4*b + b, -4*f = b - 6. Suppose z = a - 712 - 36, -1487 = -b*a + 5*z. Is a composite?", "a": "False" }, { "q": "Let z(b) = -3226*b + 485. Is z(-42) composite?", "a": "False" }, { "q": "Let b be 3 - 4*3/4. Is 190 - (11 + (b - 6)) a composite number?", "a": "True" }, { "q": "Let k(a) = 8*a**3 + 3*a**2 + a + 7. Let z be k(5). Suppose -11*p = -37 - 18. Suppose -p*c = -7352 + z. Is c composite?", "a": "True" }, { "q": "Let y be -4*2/(-8)*(19 - -1). Suppose 6*l = 2*l + y. Suppose -l*n = -766 - 249. Is n composite?", "a": "True" }, { "q": "Let h = 158446 - 85209. Is h prime?", "a": "True" }, { "q": "Let b(r) = -15735*r**3 - r**2 + 2*r + 3. Let d be b(-1). Suppose 2*w = c - 3133, -5*c + d = w + 3*w. Is c prime?", "a": "False" }, { "q": "Let q = 69854 + -28927. Is q a composite number?", "a": "False" }, { "q": "Suppose -5*p - 4*h = -26, 2*h + 23 = 4*p + 3*h. Let w(k) = 6*k**3 + 2*k**2 + 12*k - 1. Is w(p) prime?", "a": "True" }, { "q": "Let u(s) = 2849*s - 963. Is u(28) a prime number?", "a": "True" }, { "q": "Suppose -5*t = 4*l + 14, 1 = -2*t - 5*l + 9. Let p(y) = 1 + 0*y - 348*y**2 + y**3 - y + 360*y**2. Is p(t) a composite number?", "a": "False" }, { "q": "Is 1 - -5 - -45238 - 6 - 5 a prime number?", "a": "True" }, { "q": "Suppose s + 2*x - 9597 = 0, -7*x - 36251 = -3*s - 7434. Is s a prime number?", "a": "True" }, { "q": "Suppose -182 = 2*x + t, 4*x - 5*t - 190 = 6*x. Let s be (-6260)/(-3)*(-3132)/(-290). Is 6/10 - s/x prime?", "a": "True" }, { "q": "Let i = -19 + 11. Let k(s) = 15 - 35*s - s**3 - 4*s**2 + 62*s - 30*s - 2. Is k(i) a composite number?", "a": "False" }, { "q": "Suppose 11*v = -109 + 417. Is 4/(-7) + -3 + 126128/v a prime number?", "a": "False" }, { "q": "Suppose -5*q + 101422 = 12*q. Let f = q + -2829. Is f prime?", "a": "True" }, { "q": "Suppose 4*x + 59477 = 5*f, x = -5*f + 8*f - 35682. Suppose 2*w = 3*r - 22686 + 4859, -2*r + f = -3*w. Is r a prime number?", "a": "True" }, { "q": "Let k be (22/(-4))/(7/350). Let d = k + 948. Is d a composite number?", "a": "False" }, { "q": "Let o(w) = 99*w**2 + 24*w + 13. Is o(28) prime?", "a": "True" }, { "q": "Let s be (38/57)/(2/12). Suppose -2*f + s*f = 4, -1154 = -3*c - 4*f. Suppose 2*m + 0*m - c = 0. Is m a prime number?", "a": "True" }, { "q": "Suppose 1504364 + 1038913 = 16*o + 17*o. Is o a composite number?", "a": "False" }, { "q": "Let y(g) = g**2 - 16*g - 17. Let x be ((-102)/(-9))/((-6)/(-9)). Let t be y(x). Suppose t = 25*q - 27*q + 902. Is q a composite number?", "a": "True" }, { "q": "Suppose 4*l - 7919973 = -47*l - 42*l. Is l composite?", "a": "True" }, { "q": "Let q(a) = -3*a - 13. Let c be q(-10). Suppose -4*k + 5*r = -23, -k + c = -9*r + 4*r. Is 5/k*(-2864)/(-40) a composite number?", "a": "False" }, { "q": "Let i(f) = -9*f - 5. Let y be i(-5). Let x = -39 + y. Is 3/(12/7048) - x a prime number?", "a": "False" }, { "q": "Let s be (-6)/15 - 6786/(-15). Let n = 435 + s. Is n + 1/(-4)*0 a composite number?", "a": "False" }, { "q": "Let n(b) = -14 - 778*b - 870*b + 34 + 23. Is n(-3) a composite number?", "a": "False" }, { "q": "Suppose -4*x + 3249 = -87. Suppose -4*s + 0*p + 842 = -p, -4*s + 5*p = -x. Is s composite?", "a": "False" }, { "q": "Let q(l) = -l**2 - 9*l + 13. Let b be q(-10). Suppose -b*c + 4*r = -0*c - 307, -c + 113 = -4*r. Is c a composite number?", "a": "False" }, { "q": "Let a(j) = 4908*j + 1703. Is a(7) a composite number?", "a": "True" }, { "q": "Let q(l) = -724*l + 641. Is q(-98) a prime number?", "a": "True" }, { "q": "Let m(s) = s**3 - 11*s**2 - 38*s + 20. Let i be m(15). Suppose -2*l + 821 = 5*k - i, 5*l = -10. Is k a composite number?", "a": "True" }, { "q": "Suppose 33 = 4*p - 4*o + 9, 3*p + 6 = -3*o. Let w(j) = -8*j**2 + p*j**3 + 2*j + 2*j + 11 + 2 - 2*j. Is w(8) prime?", "a": "True" }, { "q": "Suppose 54*f + 34027 = 57*f - o, 16 = -4*o. Is f a composite number?", "a": "True" }, { "q": "Let u be ((-2)/(-10))/(1/15). Let s be 1*((-57)/u)/(-1). Suppose -15*j + s*j = 3656. Is j prime?", "a": "False" }, { "q": "Is -6 + 19160 - 3/(-5 - -6) composite?", "a": "True" }, { "q": "Let q(u) be the second derivative of u**3/6 + 41*u**2 + 58*u. Is q(31) composite?", "a": "False" }, { "q": "Let b = -284206 - -507291. Is b a composite number?", "a": "True" }, { "q": "Suppose -713465 = -3*c - z, -c + 3*z - 12250 + 250065 = 0. Is c a composite number?", "a": "False" }, { "q": "Is (-13766)/(((-2)/4)/((-78)/(-104))) composite?", "a": "True" }, { "q": "Suppose 1272 = 2*v + 2*g - 112, 5*v + 2*g = 3451. Is v prime?", "a": "False" }, { "q": "Suppose 0 = 3*w - 2*y + 20, -6*y + 3*y + 16 = -w. Let c be 16/w*(-2 - -1). Suppose -c*b + 1842 = 2*b. Is b a prime number?", "a": "True" }, { "q": "Suppose -f = -5*d + 21, -2*f - 3*d + 11 = -f. Let u(t) = 5225*t**2 - 2*t. Is u(f) composite?", "a": "False" }, { "q": "Is (-75597)/1*(0 - 1/3) a composite number?", "a": "True" }, { "q": "Suppose -181256 = -37*r + 56913. Is r a prime number?", "a": "False" }, { "q": "Suppose 10*s - 11 - 29 = 0. Is (-5380)/8*s/(-10) - 4 prime?", "a": "False" }, { "q": "Suppose 13 = -n - 4*w, n = 5*w - 0 + 5. Is n + 3 + 5901 - 2 a composite number?", "a": "False" }, { "q": "Let l(s) = 18*s + 93. Let p be l(19). Suppose -2*y + 4753 = p. Is y composite?", "a": "True" }, { "q": "Let j(f) = 3*f + 12. Let q be j(-4). Suppose 3*a = -3*d + 24, 3*a + d - 16 = -q*d. Suppose -a*k = 3*k - 6265. Is k a composite number?", "a": "True" }, { "q": "Suppose i = 3*h - 303722, -4*h + 348511 = i - 56440. Is h a composite number?", "a": "True" }, { "q": "Suppose 4*a = -2*w - 552 - 768, 2*a + 4*w + 672 = 0. Let m = -724 + a. Let l = 1543 + m. Is l composite?", "a": "False" }, { "q": "Let q(j) = -1053*j + 796. Is q(-35) prime?", "a": "False" }, { "q": "Let n(f) = 137*f**2 - 11*f + 149. Is n(13) a composite number?", "a": "False" }, { "q": "Suppose 0 = -4*o + 2*o + 3*l - 22, -4*o - 28 = 2*l. Is (34/o - -4)/((-2)/6472) a prime number?", "a": "True" }, { "q": "Is (-96963)/(-4) + -2 + 2/8 a prime number?", "a": "True" }, { "q": "Suppose -2*s = -6, 1331*w - 1335*w - 5*s + 39963 = 0. Is w prime?", "a": "False" }, { "q": "Let w(b) = -34*b + 3. Let s be w(-3). Suppose i - s = 8*i. Is ((-9)/(-6))/(i/(-6730)) composite?", "a": "False" }, { "q": "Suppose -2*n - 3 = z, -5*z - 29 = -3*n - n. Is 2*(-1)/n*(-1227)/6 a composite number?", "a": "False" }, { "q": "Suppose 2044464 = 42*i + 635490. Is i prime?", "a": "True" }, { "q": "Let m(a) = 3*a - 11. Let j be m(5). Suppose j*v - 2874 = v. Suppose -2*h + v = -0*h. Is h a prime number?", "a": "True" }, { "q": "Let k = 92 - 90. Suppose -k*a + 616 = 4*g, -3*a + 3*g + 0*g + 879 = 0. Is a composite?", "a": "True" }, { "q": "Suppose 4*p = 3 + 13. Is (p - 666)*(-1)/2*11 prime?", "a": "False" }, { "q": "Let x(d) be the third derivative of 657*d**5/10 - d**4/6 - d**3/2 - 30*d**2. Is x(-1) a prime number?", "a": "True" }, { "q": "Let x(d) = 3*d + 9. Let n be x(17). Let u = -41 + n. Suppose 46 = -u*k + 21*k. Is k composite?", "a": "False" }, { "q": "Suppose 21 = 7*q - 7. Suppose -q*v + 31 - 11 = 0. Suppose 7*b - v*b = 998. Is b composite?", "a": "False" }, { "q": "Suppose -4*h = -4*j + 1148344, -5*h - 5 + 10 = 0. Is j prime?", "a": "True" }, { "q": "Let d(f) = -14*f + 90. Let r be d(6). Is 11 + -3 - r - -18431 composite?", "a": "False" }, { "q": "Let r be -1 - (1 + -2 + -282). Let p = 1632 - r. Let f = -943 + p. Is f a prime number?", "a": "False" }, { "q": "Let m(b) = -163*b - 10. Let u be 40/2 - ((7 - 4) + -5). Let o = -25 + u. Is m(o) a composite number?", "a": "False" }, { "q": "Suppose 7*v - 33 + 5 = 0. Let q be (2*1422/(-16))/((-2)/8). Suppose 1883 = v*j + q. Is j composite?", "a": "False" }, { "q": "Suppose 0 = 3*z - 745 - 995. Suppose 0 = -8*t + z + 684. Suppose -4*h + q + 316 = 5*q, -2*h + t = 5*q. Is h a composite number?", "a": "False" }, { "q": "Let q(t) be the second derivative of t**5/20 + 5*t**4/12 - t**3 + 5*t**2/2 + 5*t. Let o be q(-6). Suppose -2*h + r + 109 = -494, -r + 1518 = o*h. Is h prime?", "a": "False" }, { "q": "Let z(p) = p + 13. Let m be z(-13). Suppose m*w = 3*w - 12. Let l(q) = 24*q**2 - q - 1. Is l(w) prime?", "a": "True" }, { "q": "Suppose -5480 + 85814 = 6*t. Suppose -d - 3310 = -t. Is d prime?", "a": "True" }, { "q": "Let z(b) = -199*b**2 + 57*b - 20. Let u be z(16). Is (u/10)/(-2) + 104/260 prime?", "a": "True" }, { "q": "Let b be 0/(-11) - 66/(-2). Is ((-18)/(-2))/(b/5269) a composite number?", "a": "True" }, { "q": "Let f be (27/4)/((-1)/1136*-6). Suppose 213 = -k + 4. Let l = k + f. Is l prime?", "a": "True" }, { "q": "Let l = 8638 - 16962. Let w = -4137 - l. Is w prime?", "a": "False" }, { "q": "Let m(o) = -o**3 - 27*o**2 - 138*o + 15. Is m(-22) a prime number?", "a": "True" }, { "q": "Let z = 30567 + -16802. Is z composite?", "a": "True" }, { "q": "Let z be ((0 - -4) + -7 - -4) + 1. Suppose -5*f = 2*y - 7*y - 4330, -z*f - 3*y + 1712 = 0. Is f a prime number?", "a": "False" }, { "q": "Let a(x) = 3*x**2 + 72*x + 295. Is a(-28) a prime number?", "a": "True" }, { "q": "Let s(i) = i**3 - 9*i**2 - 8*i - 6. Let q be s(10). Suppose -5*p + q + 21 = 0. Suppose p*l + 1497 = 10*l. Is l prime?", "a": "True" }, { "q": "Let g be ((-76)/6)/(2/(-78)). Let f = 617 + g. Is f a composite number?", "a": "True" }, { "q": "Suppose -7*q + 3*q = -160. Let y(b) = b**3 - 8*b**2 + 31*b - 70. Let n be y(4). Is (-8)/q - 12132/n a composite number?", "a": "False" }, { "q": "Let g(w) = -2*w**2 - 2*w + 5718. Let n be g(0). Suppose -4*f + 4*s - 186 = -n, 3*f - 4143 = -3*s. Is (1/((-2)/(-2)))/(2/f) composite?", "a": "False" }, { "q": "Suppose 0 = -2*i + 2*z + 4738, 0*i = -2*i - 4*z + 4762. Suppose w - i - 818 = 0. Is w a prime number?", "a": "True" }, { "q": "Suppose 8*q + 23 = -25. Is (5444/q)/((-20)/3 - -6) prime?", "a": "True" }, { "q": "Let m(b) = 2*b**3 + 7*b**2 + 10*b + 25. Let t be m(-3). Suppose -8 = -3*o + 16. Suppose o*u - 3*u - h - 415 = 0, -2*u + t*h = -166. Is u a composite number?", "a": "False" }, { "q": "Let v = -96 - -99. Suppose v*j + 0*u = -3*u + 1992, 2*j - 1343 = 3*u. Is j a composite number?", "a": "True" }, { "q": "Let t be -3153 + (0 - (-3 + 2)). Let f be (-4)/(-14) + t/7. Let a = f - -1001. Is a a composite number?", "a": "True" }, { "q": "Is 7 + 51/(-7) - (-9491466)/42 composite?", "a": "True" }, { "q": "Let y(v) = 3*v**3 + 6*v**2 + 5*v - 9. Suppose 0*w + 75 = 15*w. Is y(w) a prime number?", "a": "True" }, { "q": "Let q(v) = v**3 - 8*v**2 + 2*v - 15. Let i be q(8). Let t be 2/(-2) + 13 + i. Is (-9)/6 + t*(-82)/(-4) prime?", "a": "False" }, { "q": "Let w(u) = -11*u**3 - 2*u + 7. Let v be w(5). Suppose -2*p + 1932 = -p. Let x = p + v. Is x a prime number?", "a": "False" }, { "q": "Let q(o) = -886*o - 2. Let g be q(-5). Suppose -x + 7*x - g = 0. Let f = -407 + x. Is f a composite number?", "a": "False" }, { "q": "Let u = 34 - 32. Suppose r + 3 = 0, -5*k + u*r = -r - 34. Suppose -k*h + 31 = q, h + 3*q + q = -9. Is h composite?", "a": "False" }, { "q": "Let y(j) = j - 3. Let g be y(2). Let d be (-4)/(g + 5)*(0 + -3). Suppose -q + d*b + 10 = -25, 4*b = -q + 63. Is q a composite number?", "a": "False" }, { "q": "Let r(z) = -19 - 2 - 13*z + 6. Let o(w) = w + 1. Let t(k) = -6*o(k) - r(k). Is t(4) a composite number?", "a": "False" }, { "q": "Suppose -9*g + 9 = -8*g. Suppose -g*q = -10*q. Is (1 - q) + 152/(-12)*-3 prime?", "a": "False" }, { "q": "Suppose -21 = -5*v + 4*l, 5*v = 2*l + 27 - 4. Suppose 3*w - 3344 = -0*a - v*a, 0 = 3*a + 4*w - 2013. Is a a prime number?", "a": "False" }, { "q": "Let n(s) = -s**2 - 5*s + 1931. Let u = 74 - 74. Is n(u) prime?", "a": "True" }, { "q": "Suppose -4*p - 9*d = -6*d - 51833, 5*p = 4*d + 64799. Is p a prime number?", "a": "True" }, { "q": "Let h = 1640 - -119122. Suppose -6*y + 24*y = h. Is y composite?", "a": "False" }, { "q": "Is 0 + 1/(-11) + (-3515280)/(-110) a prime number?", "a": "True" }, { "q": "Let o = 131 - 126. Suppose -w + o*w - 3621 = -f, -5*f + 5*w = -18230. Is f a composite number?", "a": "True" }, { "q": "Let j = 3 + 27. Is (-11541)/(-17) - j/(-255) a prime number?", "a": "False" }, { "q": "Let y(f) = 3575*f**2 + 452*f - 8. Is y(-5) prime?", "a": "True" }, { "q": "Suppose 0*a + 2*a + 802 = 4*o, 2*o - 399 = -a. Let i = 433 + o. Is i a composite number?", "a": "True" }, { "q": "Let y(u) = 31*u**3 + u**2 + 6*u - 5. Let h = 3 + -1. Let t be h/11 + 160/88. Is y(t) composite?", "a": "True" }, { "q": "Suppose 8563030 = 53*y + 25*y - 8*y. Is y a prime number?", "a": "False" }, { "q": "Suppose 0 = 31*g - 17167 - 807777 - 318739. Is g a composite number?", "a": "True" }, { "q": "Let p(y) = 2 - 3*y**2 + 9 + 0 + 12*y. Let q be p(6). Is ((-20)/q - 0)/(2/445) a composite number?", "a": "True" }, { "q": "Let o(r) = 13770*r - 383. Is o(6) composite?", "a": "False" }, { "q": "Is (-190)/(-35) + -5 - 7587778/(-77) composite?", "a": "False" }, { "q": "Let z(v) = 153*v**2 + 13*v - 67. Is z(9) a composite number?", "a": "True" }, { "q": "Let z be 16/24*18/4. Suppose 30 = 8*u - z*u. Suppose 153 = -3*w + u*w. Is w a composite number?", "a": "True" }, { "q": "Suppose -888*q + 894*q - 374226 = 0. Is q prime?", "a": "False" }, { "q": "Let p(j) = j**3 + 3*j**2 - 5*j - 6. Let v be p(-4). Suppose -4*k - 200 = -3*f - 1353, -4*f = k - 293. Is k - (v + 4 + -6) composite?", "a": "False" }, { "q": "Let o be 6 - 3 - (-6)/3. Let n(c) = 33*c**2 + 11*c - 25. Let t be n(10). Suppose 10*b - o*b = t. Is b prime?", "a": "True" }, { "q": "Let g(l) = -3*l - 9. Suppose -9 = 2*w + 15. Let m be g(w). Is (48/m - 2) + (-2182)/(-18) composite?", "a": "True" }, { "q": "Suppose 2*k + 104*n - 105*n = 74671, 5*k - 186700 = -5*n. Is k composite?", "a": "False" }, { "q": "Suppose -4*b - 3*v + 482662 = -2*v, b = 2*v + 120661. Is b a composite number?", "a": "True" }, { "q": "Let b(c) be the third derivative of 107*c**4/12 + 14*c**2. Let n be b(1). Let w = n - 83. Is w a prime number?", "a": "True" }, { "q": "Suppose 10*p + 3*p = 52. Suppose 0 = -p*o + 17*o - 9347. Is o a composite number?", "a": "False" }, { "q": "Let u = -199 + 216. Let q(f) = -f**3 + 20*f**2 + 21*f - 11. Is q(u) a composite number?", "a": "False" }, { "q": "Let p(w) = 582*w**3 - 8*w**2 + 9*w + 29. Is p(6) composite?", "a": "False" }, { "q": "Let s(y) = y**3 + 7*y**2 - 7*y + 11. Let r be s(-8). Let l be r/(-1)*-19*(-55)/5. Let x = l + 1010. Is x a prime number?", "a": "True" }, { "q": "Let g be -20*3/(-15)*4. Let w = g + -6. Suppose 3*o - w*o = -553. Is o a prime number?", "a": "True" }, { "q": "Is ((-1974)/63)/(68/(-24834)) + 10/(-85) prime?", "a": "True" }, { "q": "Let l(r) = -46*r + 83. Let q(k) = -92*k + 165. Let n(p) = 5*l(p) - 2*q(p). Is n(-7) prime?", "a": "False" }, { "q": "Let y = 125 + -118. Let z(j) = 90*j**2 - 23*j + 9. Is z(y) composite?", "a": "True" }, { "q": "Suppose 4012 = 6*v - 2*v. Let c = 867 - 1459. Let a = v + c. Is a a composite number?", "a": "True" }, { "q": "Suppose z - 16 = -14. Suppose -v + o = -3581, -o - z*o = 12. Let j = v + -2396. Is j prime?", "a": "True" }, { "q": "Let i(w) = -w**3 + 3*w**2 + 4*w + 3. Let q be i(4). Suppose 0 = -16*o + 845 - 717. Is (-10)/o*(q - 119) composite?", "a": "True" }, { "q": "Suppose 48628 = 2*h + 2*v, h + 4*v - 14849 = 9456. Is h composite?", "a": "False" }, { "q": "Suppose 0 = 5*f - 15. Let d(a) = 1284*a + 47. Is d(f) composite?", "a": "True" }, { "q": "Let y be (-1)/(-5) + (-45)/(-25). Suppose -5*m + y*d + 12213 = 1328, -25 = -5*d. Is m a composite number?", "a": "False" }, { "q": "Let b = -5530 + 155683. Is b a prime number?", "a": "False" }, { "q": "Suppose -4*k + 436 = -5516. Suppose 18*p - 22*p = k. Let f = 581 + p. Is f a composite number?", "a": "True" }, { "q": "Let u = -7 + 9. Let m be 7/((-49)/21) + u*1. Is -26*5/2*m a prime number?", "a": "False" }, { "q": "Suppose 19*r + 408352 = 23*r. Is ((-2)/(-6))/(6 - r/17016) a composite number?", "a": "False" }, { "q": "Let j = 185767 - 81732. Is j a prime number?", "a": "False" }, { "q": "Let j(c) = -1. Let u(y) = 42*y**2 - 12*y - 28. Let i(a) = -5*j(a) + u(a). Let w be i(-7). Suppose -600 = 7*t - w. Is t prime?", "a": "False" }, { "q": "Let f(i) = 2091*i**3 + 19*i**2 - 8*i + 5. Is f(3) composite?", "a": "True" }, { "q": "Let o be (4/(-14) - (-15)/(-21)) + 24. Let z(w) = 3 + 4*w - 3 + o*w**2 + 2. Is z(-5) a prime number?", "a": "True" }, { "q": "Let n be ((12/4)/(-6))/((-3)/15174). Let a = n - 1090. Is a composite?", "a": "False" }, { "q": "Let j(q) = 135*q + 841. Is j(64) composite?", "a": "True" }, { "q": "Suppose -5*q = -24 - 26. Let n be ((3 - 2)*q*1)/1. Is (-1056)/(-5) - ((-6)/n)/(-3) composite?", "a": "False" }, { "q": "Suppose -16*q = -8*q - 51752. Is q a prime number?", "a": "True" }, { "q": "Suppose 19*d - 206065 + 6793 = 0. Suppose 0*s = -24*s + d. Is s a composite number?", "a": "True" }, { "q": "Suppose -279302 - 117378 = -24*i - 132032. Is i composite?", "a": "False" }, { "q": "Let i = -27331 - -89801. Is (1/(-2))/((-5)/i) a prime number?", "a": "True" }, { "q": "Let d(r) = -5656*r + 233. Is d(-5) prime?", "a": "True" }, { "q": "Let i be (-25)/(-6 - 2921/(-487)). Suppose 16*t - 1633 = i. Is t prime?", "a": "True" }, { "q": "Suppose -4*t - 3*h + 24 = -7*h, 5*h + 6 = -t. Suppose 0 = q + t*b - b - 1800, 0 = b - 1. Is q prime?", "a": "False" }, { "q": "Let f = 7 - 4. Let h be 507/f + 3/(-3). Suppose -3*m - 3*r - r + 153 = 0, 0 = 3*m - r - h. Is m composite?", "a": "True" }, { "q": "Let v(m) = -13*m**3 + 7*m**2 + 8*m - 5. Suppose 66 = 3*x + 45. Suppose -x = 2*a + 1. Is v(a) prime?", "a": "True" }, { "q": "Suppose 3*r = 2*a + 4, -5*r - 50 = 5*a + 10. Let o be a + 372 - 2/(-2). Let t = 852 - o. Is t prime?", "a": "True" }, { "q": "Let m(n) = -n + 1. Let z(q) = 43*q**2 - 5*q - 21. Let b(v) = -5*m(v) + z(v). Is b(5) a prime number?", "a": "True" }, { "q": "Suppose -38*k + 1896102 = 264724. Is k a prime number?", "a": "False" }, { "q": "Let a = 2735 + -1041. Let j = 224 + a. Suppose 0 = 56*b - 54*b - j. Is b composite?", "a": "True" }, { "q": "Suppose -4*v + 4*c + 41964 = 0, 0 = -2*v - 5*c + 21183 - 173. Is v a composite number?", "a": "True" }, { "q": "Let p(c) = 9*c**3 + 57*c**2 + 33*c - 8. Is p(11) composite?", "a": "False" }, { "q": "Suppose 4*n = 2*n + 4*q + 506, -5*n - 2*q + 1301 = 0. Let h = n + -98. Is h composite?", "a": "True" }, { "q": "Suppose -15 = -3*g, -3*o + g - 70 = -8*o. Suppose 8*d - o*d + 15815 = 0. Is d composite?", "a": "False" }, { "q": "Let d(n) = -n**3 + 7*n**2 + 2*n - 13. Let c be ((-28)/6)/((-14)/21). Let v be d(c). Is (2*v + 1)*(-39172)/(-84) prime?", "a": "True" }, { "q": "Let k(b) = b**2 - b + 65. Let w = -145 - -165. Is k(w) a composite number?", "a": "True" }, { "q": "Let n = -2 + -7. Is (-3)/n + (-54472)/(-33) a composite number?", "a": "True" }, { "q": "Suppose -109*b - 51*b = -34508429 - 538131. Is b a prime number?", "a": "True" }, { "q": "Let h(y) = y**3 + 6*y**2 - y - 4. Let i be h(-6). Suppose 3*o - i*p - 12980 = 0, 0 = -4*o + p + 6252 + 11058. Suppose o = 6*m + 2*m. Is m composite?", "a": "False" }, { "q": "Let f = 51 - -59. Suppose -y + 167 = -f. Let w = y - 138. Is w composite?", "a": "False" }, { "q": "Suppose -175*a + 4154 = -174*a. Let j = -5 + 15. Is a/j - (-6)/(-15) composite?", "a": "True" }, { "q": "Let k(s) = 25*s - 1. Let f(a) = a**3 - 5*a**2 - a + 7. Let l be f(6). Suppose i = 5*b - l, 12 = 4*i - 0*i. Is k(b) prime?", "a": "True" }, { "q": "Suppose -55*r + 65*r = 0. Let g = -7 + 15. Suppose s + g*s - 414 = r. Is s a prime number?", "a": "False" }, { "q": "Suppose -80 = 36*a - 32*a. Let y = 25 + a. Suppose -5*g = -o + 4*o - 550, 0 = y*g + 4*o - 545. Is g composite?", "a": "False" }, { "q": "Suppose -10*w + 18 = -w. Suppose 10576 = 5*d + 3*r - 0*r, -5*d - 4*r + 10578 = 0. Suppose 4*q = w*q + d. Is q a prime number?", "a": "False" }, { "q": "Let l be ((2105/(-3))/5)/(2/(-6)). Suppose -l = -5*z + 2484. Is z prime?", "a": "False" }, { "q": "Let n = 89979 - 41998. Is n a prime number?", "a": "True" }, { "q": "Let k = -4 - -19. Suppose -31573 = -k*s + 9842. Is s a prime number?", "a": "False" }, { "q": "Let d be (-8)/2 + (-14 - -21). Suppose 3 = -3*w, -1108 = -5*m - d*w + 2679. Is m composite?", "a": "True" }, { "q": "Suppose -4*l + 3034 = 5*f - 3*f, -5*l + 3785 = f. Suppose v - 517 - 259 = 5*q, l = v - q. Is v composite?", "a": "False" }, { "q": "Suppose 71*s = 1641758 + 1460303. Is s a composite number?", "a": "False" }, { "q": "Let f(p) be the first derivative of p**4/4 - 13*p**2/2 + 13*p + 24. Let d(x) = x**2 + x - 7. Let r be d(-5). Is f(r) prime?", "a": "False" }, { "q": "Let r(m) = 10*m**2 + m + 34483. Is r(0) prime?", "a": "True" }, { "q": "Let d(a) = 4*a**2 - 9*a + 6. Let o = -99 - -144. Suppose -o = -7*v + 2*v. Is d(v) a prime number?", "a": "False" }, { "q": "Suppose 5*u + 20 = 0, w - 5*u - 11 = -u. Let l = 7 + w. Suppose -2*i - 1730 = -5*h - 7*i, l*h - 5*i = 699. Is h a composite number?", "a": "False" }, { "q": "Suppose 14*d = 2*h + 11*d - 34745, -4*h + 69505 = -d. Is h a prime number?", "a": "True" }, { "q": "Suppose 6373 - 37984 = -2*g + 5*i, 3*g - 47374 = -i. Is g composite?", "a": "True" }, { "q": "Suppose -4*a - 2*h = -7*h + 7, 0 = 3*a + 3*h - 15. Let u be (-2 + a)/(-1 - 1). Suppose 0*x + 4*x - 4*v - 148 = u, 0 = 5*x + 2*v - 164. Is x composite?", "a": "True" }, { "q": "Let w(z) = 4*z + 37. Let r be w(-13). Suppose -u - 40 = 3*u. Is 6/27*4443*r/u a prime number?", "a": "True" }, { "q": "Let s = -43 + 50. Suppose 3*h - 11 = -r - r, -h + r + s = 0. Suppose 3*y - 2*z - 2445 = -2*y, 2*y - 999 = h*z. Is y a composite number?", "a": "False" }, { "q": "Suppose -8*l + 10*l - 6 = 0. Suppose 4456 = l*r + 5*r. Is r prime?", "a": "True" }, { "q": "Suppose 0 = -3*i + 891 + 4200. Let s = -12752 + 21555. Suppose -5*y - 2*a = -7109, -5*y - i + s = 3*a. Is y prime?", "a": "True" }, { "q": "Let p(k) = -2*k**2 + 16*k + 14. Let w be p(-8). Suppose -5*c + 3*c = -630. Let h = c - w. Is h a composite number?", "a": "False" }, { "q": "Let s be (8/(-16))/((-1)/(-16)). Let o(f) = -9*f**3 - 27*f**2 + 9*f + 1. Let l(x) = 14*x**3 + 41*x**2 - 14*x - 1. Let j(c) = 5*l(c) + 8*o(c). Is j(s) prime?", "a": "True" }, { "q": "Let k(m) = 175*m + 11. Let j be k(3). Let s = j - 85. Is s a prime number?", "a": "False" }, { "q": "Suppose 58*c - 119*c + 1025318 = -47*c. Is c a prime number?", "a": "True" }, { "q": "Let t be (4284/18)/(2/(-2) - 0). Let b = -59 - t. Is b a composite number?", "a": "False" }, { "q": "Let l(a) = 27*a + 14. Let v be l(-9). Let b = -391 - v. Let d = b - -427. Is d prime?", "a": "False" }, { "q": "Let d be (-11)/((-462)/(-2364)) + (-6)/(-21). Is 12/d*-20434 - (-10)/35 prime?", "a": "False" }, { "q": "Let j = 8868 - -385. Is j a prime number?", "a": "False" }, { "q": "Suppose -20*m = -34*m + 11858. Suppose -5*l - h = h - m, 3*h + 166 = l. Is l prime?", "a": "False" }, { "q": "Let d(g) = 202*g - 9. Let v(u) = 606*u - 26. Let s(x) = -17*d(x) + 6*v(x). Suppose -3*a - 6 = -3*l, 127*l = 126*l + 5*a + 6. Is s(l) prime?", "a": "True" }, { "q": "Let v(c) = 7*c**3 - 4*c**2 - 14*c - 12. Suppose -4*k - 78 = 2*k. Let z = 20 + k. Is v(z) a prime number?", "a": "False" }, { "q": "Let w = -8643 - -13888. Is w prime?", "a": "False" }, { "q": "Suppose 0 = 2*a + 5*k - 60423, -2*k = -a + 4*a - 90629. Is a a prime number?", "a": "False" }, { "q": "Suppose 30 = 2*u + 2*w, -3*w + 0*w = -6. Let d = -9 + u. Is 14775/60 + 3/d composite?", "a": "True" }, { "q": "Let r = -121256 - -202105. Is r a prime number?", "a": "True" }, { "q": "Let w be 2/(-1) - (6 - (1 + 3)). Let k be w/16 + 1*(-3946)/(-8). Suppose 3*g = 4*g - k. Is g prime?", "a": "False" }, { "q": "Let x(o) = o**2 - o - 1. Let k be x(2). Let h be (-1)/(-2)*((-5)/(-5) + k). Let p(y) = 795*y**2 + y + 1. Is p(h) prime?", "a": "True" }, { "q": "Let c = 8 - 9. Let v be 0 + (-1 + -2)/(-1) + c. Is (1 - (-9)/(-3))/(v/(-103)) a prime number?", "a": "True" }, { "q": "Suppose 50*m - 304647 = 197003. Is m prime?", "a": "False" }, { "q": "Let k(l) = l**3 + 11*l**2 - 32*l - 26. Let o(v) = -v**3 - 4*v**2 + 2*v - 12. Let p be o(0). Is k(p) composite?", "a": "True" }, { "q": "Let m = -1274 - -4648. Suppose 18*f - 23284 = m. Is f a composite number?", "a": "False" }, { "q": "Suppose 18 - 22 = q. Is q*(1/1 - 3759/12) a prime number?", "a": "True" }, { "q": "Is (1/((-6)/(-4)))/((56/718698)/14) a composite number?", "a": "False" }, { "q": "Is (-6)/(-4)*((5 - 518665/(-21)) + -8) a composite number?", "a": "True" }, { "q": "Let b(p) = 22*p**2 - 7*p - 7. Let c be b(6). Let w be 2*(3 + 1) - 5. Suppose -3*n = -w*f - 558, -4*n + 0*n = -5*f - c. Is n a prime number?", "a": "False" }, { "q": "Let h(u) be the first derivative of -u**4/2 - 20*u**3/3 + 9*u**2 + 9*u - 12. Is h(-17) a prime number?", "a": "False" }, { "q": "Let o(l) = 3*l**2 + 3*l - 29. Let h be 732/15 - (-8)/(-10). Let x = h + -41. Is o(x) composite?", "a": "False" }, { "q": "Suppose 3*q - 150093 = -3*s, -2*s + 54056 = q + 4027. Is q a prime number?", "a": "True" }, { "q": "Let o be ((-2)/5)/((-4)/20). Suppose 4*a - 3024 = o*a. Suppose y - 1140 = -3*v, 0 = -3*v - v - 4*y + a. Is v composite?", "a": "True" }, { "q": "Let o(s) = -862*s**3 + 10*s**2 + 13*s - 2. Let i be o(-5). Suppose 9*h - i = -8*h. Is h composite?", "a": "True" }, { "q": "Suppose 2*m + 3*m = -4*n - 266, -n = 4. Let b be 6/(-36) - m/12. Suppose 892 = b*y - 0*y. Is y a prime number?", "a": "True" }, { "q": "Is ((-54923)/(-2))/(-8 - 136/(-16)) a composite number?", "a": "True" }, { "q": "Let s(g) = 5*g + 22. Let y be s(-11). Let b = y - -27. Is 4/b*6015/(-10) composite?", "a": "False" }, { "q": "Let j = 127 - 123. Suppose -11*o = j*b - 8*o - 8803, o = -2*b + 4403. Is b composite?", "a": "False" }, { "q": "Let h be (-2)/9 + (-150)/54 + 5. Suppose 2*j + 10797 = 5*x, 4*x + 0*x + h*j - 8634 = 0. Is x composite?", "a": "True" }, { "q": "Let a = 31354 - -30748. Is a composite?", "a": "True" }, { "q": "Suppose -10*c = -44 + 4. Suppose 0 = 14*o - c*o - 24980. Is o composite?", "a": "True" }, { "q": "Let w = 10810 - 20275. Is ((w/(-12))/5)/(3/12) prime?", "a": "True" }, { "q": "Let h(w) = -123*w + 55. Suppose -5*k - 112 = 9*k. Is h(k) a prime number?", "a": "True" }, { "q": "Let d = 639 + 123. Let w = 1097 - d. Is w a prime number?", "a": "False" }, { "q": "Suppose 0 = m - 2 + 16. Let x be (m/(-4))/(3/42). Let z = x - -28. Is z a composite number?", "a": "True" }, { "q": "Suppose 3*z - 4*z - 4*s = -10731, -z + 10734 = 3*s. Is z a composite number?", "a": "True" }, { "q": "Let l(u) = 117*u + 37. Let c(v) = 59*v + 19. Let y(m) = 5*c(m) - 2*l(m). Is y(4) a composite number?", "a": "True" }, { "q": "Suppose -5*o = -2*x + 15, -3*x - 2 = o + 1. Let g = o - -126. Is g a composite number?", "a": "True" }, { "q": "Let f(b) = -b**3 - 15*b**2 - 22*b - 37. Let c = -166 + 151. Is f(c) composite?", "a": "False" }, { "q": "Suppose 2*c - 4*o = -14, 3*c = -c - 4*o + 8. Let j be 4/(-2)*(7 - 63/14). Is (-247 - c)/(j + 3) a prime number?", "a": "False" }, { "q": "Suppose 2*w - 1036 = -4*c, 4*w + 4 - 20 = 0. Suppose -j - c = 189. Is ((-3)/((-12)/j))/(7/(-14)) a composite number?", "a": "False" }, { "q": "Let y(r) = r**3 + 6*r**2 + 6*r + 6. Let k be y(-5). Let s = -836 - 3150. Is 5/((-10)/s)*k a prime number?", "a": "True" }, { "q": "Suppose 3*k + 5*g - 152 = 0, -2*k + 4*g = -821 + 727. Is k a composite number?", "a": "True" }, { "q": "Let y(s) = 72*s - 2. Let c be (-6)/(-8) + (-14)/8. Let v = 3 + c. Is y(v) a composite number?", "a": "True" }, { "q": "Let r be 84*(20928/396 + 2/(-11)). Let t = r + -1957. Is t prime?", "a": "True" }, { "q": "Let q be (1/3)/(3/144*4). Suppose 2*r + q*c = 7298, 2*r + 777 = -2*c + 8067. Is r prime?", "a": "False" }, { "q": "Let t(b) = -1519*b + 51. Let q be t(-5). Suppose 4*a - 11093 = 5*k, 4*a + 3*k = q + 3407. Is a composite?", "a": "False" }, { "q": "Suppose 3930 = 5*l - 73885. Suppose 1241 = 4*j - l. Is j a composite number?", "a": "False" }, { "q": "Let g = 150383 + -37454. Is g a composite number?", "a": "True" }, { "q": "Let y be ((-4)/((-24)/1491))/((-7)/(-14)). Suppose s - d - y = d, 2*d - 1968 = -4*s. Is s a prime number?", "a": "False" }, { "q": "Suppose -4*q = -406*d + 401*d - 359847, 0 = 4*q + 2*d - 359854. Is q a composite number?", "a": "False" }, { "q": "Let u be 149*(-38)/((1 - -1)/(-1)). Let w be -3 + -1 + u + -10. Suppose w = 4*y - 2179. Is y a composite number?", "a": "False" }, { "q": "Let h(f) = f**2 + 8*f - 19. Let d(n) = n**2 + 3*n - 20. Let p(k) = 4*d(k) - 5*h(k). Let u(x) = -4*x + 6. Let q be u(5). Is p(q) a composite number?", "a": "False" }, { "q": "Let s = 720 - 438. Suppose -4*k + 2122 = 2*g, -2*k + s = 3*g - 777. Suppose 0 = -5*a + 8*a - k. Is a composite?", "a": "True" }, { "q": "Is 56459 + 2 + (-120)/(-50)*5/2 prime?", "a": "True" }, { "q": "Let b = 5810 - 1561. Is b a prime number?", "a": "False" }, { "q": "Let h be 30/(-40) + (-250)/8. Let z = h - -47. Suppose 2*y = g - 10, -z = -3*g - 3*y + 33. Is g prime?", "a": "False" }, { "q": "Let s be ((-35136)/(-168))/((-1)/(-56)). Let b = s + -6143. Is b prime?", "a": "True" }, { "q": "Suppose 32 = 20*c - 16*c. Suppose -4*q = c*q - 23172. Is q composite?", "a": "False" }, { "q": "Let i(a) = 3*a**2 - 35*a - 29. Let k(g) = -2*g**2 + 9*g + 4. Let x be k(6). Is i(x) a prime number?", "a": "True" }, { "q": "Suppose -2*j + 5*j - 6 = 0. Let h be (-96)/12 + (-4)/(0 + j). Is (118 - 1) + 7*h/(-35) a composite number?", "a": "True" }, { "q": "Let t be 0 + 0 - (-4 - 11426). Suppose 9*j = -t + 36792. Is j a prime number?", "a": "False" }, { "q": "Let s = -101 + 98. Is s/(5 + -2)*(-5011 - -2) prime?", "a": "True" }, { "q": "Suppose 4932 = 113*g - 109*g. Suppose -g = 4*r - 4709. Is r prime?", "a": "False" }, { "q": "Suppose 0 = -13*z - 1267 - 1073. Let i = -91 + 204. Let u = i - z. Is u prime?", "a": "True" }, { "q": "Let c(r) = 2*r**3 + 6*r**2 - 10*r - 3. Let f be c(9). Suppose -2*i - f + 6813 = 4*h, -9974 = -4*i + 2*h. Is i composite?", "a": "True" }, { "q": "Let i(l) = l - 5. Let m be i(11). Let p(x) = 887*x - 103. Is p(m) composite?", "a": "True" }, { "q": "Suppose -1 = 2*t - 5, -5*g + 34 = 2*t. Is 15*(1676/21 - g/42) a prime number?", "a": "False" }, { "q": "Suppose -8 = -3*h - 26. Let i(m) = -2*m - 11. Let b be i(h). Is (b/(4/5))/((-1)/(-1676)) prime?", "a": "False" }, { "q": "Suppose 21 = -6*p - 9. Let x(i) = -i**2 - 9*i + 10. Let k(m) = -m**2 - 18*m + 21. Let t(l) = p*x(l) + 3*k(l). Is t(6) composite?", "a": "False" }, { "q": "Let d = 6546 - -493. Is d a composite number?", "a": "False" }, { "q": "Suppose 109*v - 4793102 + 214855 = 6*v. Is v a prime number?", "a": "True" }, { "q": "Let y(s) = -s**3 - 15*s**2 + 13*s - 31. Let h be y(-16). Let z(r) = -r**3 + 17*r**2 - 2*r + 24. Let m be z(h). Is (-5)/m + (-219)/(-6) a composite number?", "a": "False" }, { "q": "Let u be ((-9)/(-3))/((-15)/(-4925)). Let b = u + 3876. Is b prime?", "a": "True" }, { "q": "Is (10 + 2703526)/16 - -6 a composite number?", "a": "False" }, { "q": "Let l be 1/2 - 246/12. Let a = l - -21. Is 2/6 + a + (-989)/(-3) prime?", "a": "True" }, { "q": "Let o(r) = 212*r - 3. Let a be o(-5). Let i = 2363 + a. Let u = -849 + i. Is u a composite number?", "a": "True" }, { "q": "Let l(m) = -m + 13. Let h be l(11). Suppose 8*d - 54 = h*d. Suppose 0 = d*y + 2807 - 20348. Is y a prime number?", "a": "True" }, { "q": "Suppose 10*k + 31 - 11 = 0. Let p be (8/(-24))/(k/18). Is 3*p/((-27)/(-2121)) prime?", "a": "False" }, { "q": "Is 586/((56/(-259))/(-4)) a prime number?", "a": "False" }, { "q": "Suppose 3*a - 3*o = -o + 50431, -50437 = -3*a - 4*o. Is a prime?", "a": "True" }, { "q": "Let w(f) = -103*f**2 + 5*f - 6. Let m(z) = 103*z**2 - 5*z + 5. Suppose 0 = -11*l - 26 - 7. Let k(n) = l*m(n) - 4*w(n). Is k(3) composite?", "a": "True" }, { "q": "Let n(f) = 75*f**2 + 15*f - 43. Is n(10) a prime number?", "a": "True" }, { "q": "Is 15563 - 12/(-2)*3/(-9)*2 composite?", "a": "False" }, { "q": "Suppose 45*x - 4*x - 2*x = 1232439. Is x a prime number?", "a": "True" }, { "q": "Suppose -t = -1, -f + 2*f + 3*t = 742. Suppose j - 4*l = -216, 4*j - 2*l = -6*l - 964. Let g = f + j. Is g a prime number?", "a": "True" }, { "q": "Suppose 55*d - 417651 = 721234. Is d composite?", "a": "False" }, { "q": "Suppose -3*s - 981446 = -5*f, 80*f + 4*s = 78*f + 392594. Is f a composite number?", "a": "False" }, { "q": "Suppose 0 = -c - 0*c + 10. Suppose 2*w + 1228 = 4*i, c*w + 614 = 2*i + 5*w. Is i a prime number?", "a": "True" }, { "q": "Suppose -2*t - 5*f + 13 = 0, 3*t + 0*f = -f + 13. Let c be (-6)/t - (-1)/(-2). Let q(o) = 261*o**2 - 2. Is q(c) prime?", "a": "False" }, { "q": "Let r be (12849/(-9))/((-4)/(-12)). Is 6 - (-1 + 1) - r a prime number?", "a": "True" }, { "q": "Suppose -2*d = 5 - 13. Suppose 4*p = -16, -628 = d*b + p + p. Let m = -96 - b. Is m prime?", "a": "True" }, { "q": "Let x be -2 + (-10171)/3 - (-1)/3. Let s = x + 5358. Is s prime?", "a": "False" }, { "q": "Suppose -4*b = 3*y - 30, 4*b - 15 = 2*y + 5. Let x be 2233/(-462) - 10/(-12). Is 7958/b - (40/15)/x a prime number?", "a": "True" }, { "q": "Suppose r + d = 0, 0 = 5*r - d - d - 14. Suppose -2414 = -a - c, 5*a - r*c = 8643 + 3420. Is a a composite number?", "a": "True" }, { "q": "Let h(l) = 384*l**2 - 73*l - 49. Is h(-4) prime?", "a": "False" }, { "q": "Let h(g) be the first derivative of -g**2/2 - 12*g - 11. Let u be h(-14). Suppose t - u*t = -2*o + 264, 3*o + 3*t - 387 = 0. Is o a composite number?", "a": "False" }, { "q": "Suppose -14*x = -13*x + 516. Let g = 6463 - x. Is g a composite number?", "a": "True" }, { "q": "Let d = 39 + 69. Suppose -8*w = -7*w - d. Suppose 361 + w = f. Is f a prime number?", "a": "False" }, { "q": "Let r be (17/17)/((-1 + 2)/(-4)). Let y(x) = -823*x + 13. Is y(r) a prime number?", "a": "False" }, { "q": "Let d = 1859 + -597. Let u(t) = -t**3 + 9*t**2 + 9*t + 13. Let x be u(10). Suppose -x*c = -5*c + d. Is c a prime number?", "a": "True" }, { "q": "Let w(h) = -5*h - 18. Let f be w(-4). Suppose f*x + 4726 = -0*b + 4*b, -x = b - 1180. Is b a composite number?", "a": "False" }, { "q": "Let w = -1764 + 1769. Suppose 3*k = 3 + 3. Suppose k*t + 1866 = w*t. Is t a composite number?", "a": "True" }, { "q": "Let a(q) = 4*q**2 + 10*q - 13. Let s be a(6). Suppose -4*v + i - 157 = -v, 4*i - 264 = 5*v. Let k = s + v. Is k prime?", "a": "True" }, { "q": "Suppose -3*n = -9*n + 108. Let t = n - -349. Is t a prime number?", "a": "True" }, { "q": "Let s(z) = -4*z - 20. Let c be s(-6). Suppose 1302 = -2*a - c*r, a - 1297 = 3*a + 5*r. Let u = 1152 + a. Is u a prime number?", "a": "True" }, { "q": "Suppose -10*v - 8971 + 69926 = -19755. Is v a composite number?", "a": "True" }, { "q": "Suppose -5*f = -4*m + 13, 11*m + f + 11 = 16*m. Suppose 2*w - 5*n - 2754 + 595 = 0, -2154 = -m*w + 4*n. Is w a prime number?", "a": "False" }, { "q": "Let q(w) = -249*w + 1. Suppose 0 = -8*z + 18 + 14. Suppose 0 = 3*b - 5*b - z. Is q(b) composite?", "a": "False" }, { "q": "Let m(r) = r**3 - 4*r**2 - 4*r + 10. Let u be m(5). Suppose 0 = -n + 141 + u. Suppose 3*g = 2*z - 154, n = 5*z + 4*g - 183. Is z prime?", "a": "True" }, { "q": "Is -1 - (48/((-24)/3) + -22428) composite?", "a": "False" }, { "q": "Suppose -6*q = -5039 + 275. Let r be (-1641)/6*(1 + -3). Let m = q - r. Is m a composite number?", "a": "True" }, { "q": "Let j(z) = 1761*z**2 + 17*z + 7. Is j(3) prime?", "a": "True" }, { "q": "Let w(x) = 172*x**3 + 4*x**2 - 18*x + 6. Let r be w(4). Suppose -r = -10*k + 12564. Is k prime?", "a": "True" }, { "q": "Let r = 187 - 328. Let q = -101 - r. Suppose 0 = -b + 13 + q. Is b a composite number?", "a": "False" }, { "q": "Suppose -16*j = 15*j - 33*j + 47942. Is j a composite number?", "a": "False" }, { "q": "Let k = 2078 + -1487. Is k a composite number?", "a": "True" }, { "q": "Let m be 2/(-5) - 10837/(-5). Suppose 5*l + 2589 = x, 5*l + 15192 = 5*x + m. Is x a prime number?", "a": "True" }, { "q": "Suppose -192730 - 48200 = -3*c + k, c - 80303 = -2*k. Is c a composite number?", "a": "False" }, { "q": "Let w(l) = -31*l + 35. Let k be (5 - (-4)/(-8))*8*-1. Is w(k) prime?", "a": "True" }, { "q": "Is (-21)/15*(-549 - -34) a composite number?", "a": "True" }, { "q": "Let x = 349083 - 151384. Is x a prime number?", "a": "True" }, { "q": "Suppose -2*i = 1 - 21. Let o(w) = w**3 + 2*w**2 + 3*w + 14. Let k be o(i). Suppose -2*h + 634 = -k. Is h a prime number?", "a": "False" }, { "q": "Suppose -193*b - 15 = -192*b. Is (-10)/b*((-19452)/(-8) - 3) prime?", "a": "True" }, { "q": "Suppose -3*u - 18 = -9*u. Let p(g) = 15*g**3 + 3*g**2 + 6*g - 7. Is p(u) a prime number?", "a": "True" }, { "q": "Let c(a) = -2*a**3 + 3*a**2 - 1397 - a**3 + 1408 - 4*a. Is c(-9) a composite number?", "a": "False" }, { "q": "Is 91035 + 0 + 2 + (3 - 14/2) a prime number?", "a": "True" }, { "q": "Let w be 23481/(-12) - (12/16)/(-1). Let r = w - -4067. Is r prime?", "a": "True" }, { "q": "Suppose 3*o + 5*k + 140 = 8*o, -2*k = -o + 27. Let z(h) = 3*h**2 - 28*h - 38. Is z(o) prime?", "a": "False" }, { "q": "Suppose 3*n = -q + 56386, 17*n - 20*n - 56404 = -q. Is q composite?", "a": "True" }, { "q": "Let z(t) = 6224*t + 1175. Is z(3) prime?", "a": "False" }, { "q": "Let t be ((-396)/(-16))/(-9) + (-3)/12. Let l(y) = 26*y**2 - 1 + 6*y - 4 + 12. Is l(t) a prime number?", "a": "True" }, { "q": "Let q = 1736 - 1136. Let d = -191 + q. Is d prime?", "a": "True" }, { "q": "Suppose 0 = -3*g - 19*c + 14*c - 22, -g - 8 = 2*c. Let k(u) = 56*u**2 + 9*u + 3. Is k(g) a composite number?", "a": "False" }, { "q": "Is 34548 + (-1)/2*(-120)/(-12) a prime number?", "a": "True" }, { "q": "Let u = -26 + 66. Let w = 44 - u. Suppose 0 = w*l - 29 - 327. Is l a composite number?", "a": "False" }, { "q": "Suppose 25 = -y - 5*r, 4*y - 2*r + 69 = -141. Let t = y - -48. Is 202/(-4)*(4 + 7)*t a prime number?", "a": "False" }, { "q": "Suppose 16*y = 15*y + 36. Let f be (188/y - 5) + (-47)/9. Is (f/1)/(3636/(-908) + 4) a prime number?", "a": "False" }, { "q": "Let d = 13 + -432. Let n = d - -796. Is n composite?", "a": "True" }, { "q": "Let q = -33485 - -77092. Is q a composite number?", "a": "False" }, { "q": "Let n be (12 - 7)*(0 + 1). Suppose -4*m - n*t - 21565 = -m, 4*t - 21574 = 3*m. Is (0 + 1)/((-10)/m) prime?", "a": "True" }, { "q": "Suppose -153791 + 1009963 = 4*s. Is s a prime number?", "a": "True" }, { "q": "Is 1/(-2) + (-727803)/(-18) prime?", "a": "True" }, { "q": "Suppose f = -y + 172327, 3*f - 49504 = 5*y + 467437. Is f composite?", "a": "True" }, { "q": "Let d(w) = w**3 - w + 4. Let m be d(0). Suppose -3*z = -z - m*i - 8, -3*z + 12 = -3*i. Suppose 188 + 108 = z*k. Is k composite?", "a": "True" }, { "q": "Is 30/5 - (6 - -98620)/(-2) a composite number?", "a": "True" }, { "q": "Let k = 1063 + 1832. Suppose -6*f + 3*f = -k. Is f a composite number?", "a": "True" }, { "q": "Let p be ((1/3)/(-1))/(3/(-18)). Let u be (-144670)/(-110) + p/(-11). Suppose 18*i + u = 23*i. Is i composite?", "a": "False" }, { "q": "Let h = -137 + 144. Suppose -9*s = h*s - 3376. Is s composite?", "a": "False" }, { "q": "Let m(n) = 3127*n - 1627. Is m(15) composite?", "a": "True" }, { "q": "Let c be -43 + 45 - (-4 + 0). Suppose 8*l - 7*l - 3*q = 527, -c = 3*q. Is l prime?", "a": "True" }, { "q": "Suppose -15*s - 2*d = -11*s - 309042, -d - 154523 = -2*s. Is s a prime number?", "a": "True" }, { "q": "Let n(b) = 215*b + 63. Let k be n(-6). Let p = -808 - k. Is p composite?", "a": "False" }, { "q": "Suppose 3*l - 34*l + 929394 + 1312557 = 0. Is l a composite number?", "a": "True" }, { "q": "Let g be 2/6*9 - -2230. Suppose 65 = -4*t - 4*y + g, 6 = 3*y. Let c = -317 + t. Is c a composite number?", "a": "False" }, { "q": "Suppose -3*h + 9 + 3 = 0. Suppose -2*j + 29 = 3*j + 2*g, 12 = h*j - 4*g. Suppose j*m = -4*a + 1455, 0*a = 3*m - 2*a - 873. Is m prime?", "a": "False" }, { "q": "Let h(g) be the third derivative of g**8/1120 - g**7/504 - g**6/144 - g**5/4 - 11*g**2. Let w(q) be the third derivative of h(q). Is w(8) prime?", "a": "False" }, { "q": "Let j = 29858 + -16109. Is j composite?", "a": "True" }, { "q": "Let n(h) = -h - 10. Let g be n(-14). Suppose g*b = 831 + 469. Suppose 2*o - b = 57. Is o prime?", "a": "True" }, { "q": "Let r(i) be the first derivative of -85*i**2/2 + 28*i - 68. Is r(-7) composite?", "a": "True" }, { "q": "Let k be -3*(-2)/33 + 210/55. Suppose -5*w + k*w + 19538 = 5*v, -5*v = 2*w - 19541. Is v prime?", "a": "True" }, { "q": "Suppose 0 = -7*x + 138 + 44. Suppose -2*g - 2*c = 2*g - 30, -2*c - x = -3*g. Suppose g*n - 834 - 1606 = 0. Is n prime?", "a": "False" }, { "q": "Let a = 9310 + -2307. Is a prime?", "a": "False" }, { "q": "Suppose 40*m - 39248 = 30872. Is m composite?", "a": "False" }, { "q": "Let b = 123597 + -49778. Is b prime?", "a": "True" }, { "q": "Suppose 11 = -j + 40. Let z = j - 33. Is (-17074)/(-12) + z + (-100)/(-24) a composite number?", "a": "False" }, { "q": "Suppose -3751626 = -51*y - 6*y. Is y a prime number?", "a": "False" }, { "q": "Suppose -7*s - 290581 = -3*g, -23*s + 18*s + 290533 = 3*g. Is g a prime number?", "a": "True" }, { "q": "Suppose -4*a = -a - 6, 4*a = 3*p - 151189. Is p a composite number?", "a": "True" }, { "q": "Suppose -5*y = -2*m - 32, 3*y + 48 = -3*m - 0*m. Let q(d) = -d**2 - 15*d + 23. Let i be q(m). Suppose 0 = -i*l + 588 + 1729. Is l a prime number?", "a": "True" }, { "q": "Let h(s) = 3291*s**2 + 17*s - 101. Is h(8) a composite number?", "a": "False" }, { "q": "Let t(m) = -9*m - 3*m + 3*m - 17 + m**2. Let s be 9/(-6) + 29/2. Is t(s) composite?", "a": "True" }, { "q": "Let y(h) = -973*h + 2. Let q(g) = g**3 - 3*g**2 - 19*g + 3. Let i be q(6). Is y(i) a composite number?", "a": "True" }, { "q": "Let i = -61 + 29. Let d = 30 + i. Is (1003 - 8)*(-2)/d a composite number?", "a": "True" }, { "q": "Suppose -2*r + 23636 = 2*m, -14*r + 11812 = -13*r + 3*m. Is r a composite number?", "a": "False" }, { "q": "Suppose -12*a + 64575 = -5*a. Let d = 15820 - a. Is d a prime number?", "a": "False" }, { "q": "Suppose 4*f + 2*h = h + 7, 0 = -2*f + h + 11. Suppose f*u = 6, 4*o = -0*o - 3*u + 18594. Is o prime?", "a": "False" }, { "q": "Suppose 0 = -y + 19*y + 39114. Let u = y - -3704. Is u a prime number?", "a": "True" }, { "q": "Let i(y) be the second derivative of 5*y**3/6 - 11*y**2 + 8*y. Let p be i(6). Suppose -1055 = 3*v - p*v. Is v composite?", "a": "False" }, { "q": "Let s(w) = 5768*w - 517. Is s(3) a composite number?", "a": "False" }, { "q": "Let s be (-3 - 40)/((-1)/77). Suppose -8*h = -s - 2441. Is h a prime number?", "a": "True" }, { "q": "Suppose -93*g + 16264 = -55*g. Suppose y - 5*d - 3 = 0, -5*y - d - 2*d = -15. Suppose 2*u = 2*r - g, 0*u = y*u + 9. Is r a prime number?", "a": "True" }, { "q": "Let d be (-1)/4 + 623/28. Let n = d + -22. Suppose 415 = 3*q + 4*g - n*g, 3*g = -15. Is q prime?", "a": "False" }, { "q": "Let y = -71726 + 103363. Is y prime?", "a": "False" }, { "q": "Suppose 10*d + 5*j - 2460510 = 0, -14*j + 17*j + 738135 = 3*d. Is d a composite number?", "a": "False" }, { "q": "Suppose 164506 = 5*t + 3*r - 42952, -r = -5*t + 207454. Is t a prime number?", "a": "True" }, { "q": "Let k = 14 + -6. Suppose -4*j - 4 - k = 0. Is (12/18)/(j/((-3303)/2)) prime?", "a": "True" }, { "q": "Let w(n) = 237*n**3 - 9*n**2 - 2*n - 17. Is w(3) a composite number?", "a": "True" }, { "q": "Suppose 0 = -6*o + 7*o - 25197 - 7214. Is o a prime number?", "a": "True" }, { "q": "Suppose 3*l = -4*n + 13243, 4*n + 2*l - 10631 = 2607. Suppose -4*b = -n + 351. Is b composite?", "a": "False" }, { "q": "Suppose -2*v - 5*s - 4395 = -36253, 0 = 4*v + s - 63716. Is v a prime number?", "a": "False" }, { "q": "Let w(q) = 15*q**3 - 11*q**2 + 10*q - 55. Is w(10) prime?", "a": "False" }, { "q": "Is ((-9)/18 + 2)/(((-45)/(-124554))/5) a composite number?", "a": "False" }, { "q": "Let z be 1 - (-5)/(-20)*0. Suppose -q = 4*k + z - 2536, 2*k - 5*q = 1295. Suppose 10*s - k = 5*s. Is s a prime number?", "a": "True" }, { "q": "Let l = -24 - -25. Suppose -k + 3*f = k + l, -k = -2*f. Is ((-8420)/25)/(k/5) prime?", "a": "False" }, { "q": "Let u = -54104 - -90075. Suppose j - u = -12*j. Is j a composite number?", "a": "False" }, { "q": "Let j(t) = 3 - 5 + 0 - 4 + 370*t. Let z be j(4). Suppose 4*n - 1494 = 2*l, -4*n + z = l + l. Is n a composite number?", "a": "True" }, { "q": "Let u(b) = -13*b - 27. Let j(t) = -20*t - 41. Let i(g) = -5*j(g) + 8*u(g). Let k be i(-4). Suppose 0 = k*a - 3*a - 370. Is a a composite number?", "a": "True" }, { "q": "Let y(o) = -33*o**3 - 11*o**2 - 4*o - 121. Is y(-7) a prime number?", "a": "True" }, { "q": "Let m(a) = 7*a**3 + a**2 - a + 10. Let r be m(-5). Let x = r + 4908. Is x a prime number?", "a": "True" }, { "q": "Let l(g) = -g**3 - 5*g**2 + 7*g + 9. Let i be 3*-2*(16 + -15). Let h be l(i). Suppose -5*f - 2*d = -1245, f - 6*f + h*d + 1270 = 0. Is f a composite number?", "a": "False" }, { "q": "Suppose -5*y = -f - 11776 - 221335, 4*f = -y + 46618. Is y a composite number?", "a": "True" }, { "q": "Suppose -43 = -10*d + 17. Suppose -d*k - 262 = -1864. Is k composite?", "a": "True" }, { "q": "Let i(j) = -1085*j - 788. Is i(-29) a composite number?", "a": "False" }, { "q": "Let j = 44368 + -29191. Suppose 12*z - 15*z + j = 0. Is z a composite number?", "a": "False" }, { "q": "Suppose a + 943 = v - 2886, -v + 3821 = 3*a. Is v a composite number?", "a": "True" }, { "q": "Let a be (((-6346)/(-4))/(21/(-42)))/(-1). Suppose p = -2*p - 5*n + a, -3*p + 2*n + 3187 = 0. Is p composite?", "a": "False" }, { "q": "Let o(i) be the third derivative of -47*i**6/60 - i**5/60 - i**4/8 + i**3/2 - i**2. Let q be o(1). Let x = 364 + q. Is x a prime number?", "a": "True" }, { "q": "Let b be (-5 - -5)*(-1 + 0 - -2). Suppose 2*i + b*i = -2*f + 3016, 0 = -3*f + 3. Is i a prime number?", "a": "False" }, { "q": "Let o be 92071/21 + 2/(-6). Let q = o - 2591. Is q a composite number?", "a": "True" }, { "q": "Suppose 0 = -2*v - y + 93 + 307, v + 4*y - 214 = 0. Let d = 2019 - v. Is d a prime number?", "a": "False" }, { "q": "Let a = 7688 + -4038. Suppose a = 5*m - 5*p, -3*m = -0*p - p - 2196. Is m prime?", "a": "True" }, { "q": "Let v(o) = -5*o**3 - 54*o**2 - 3*o - 65. Is v(-16) prime?", "a": "False" }, { "q": "Let u(s) = 94*s - 12. Let p(w) = -94*w + 13. Let v(x) = x**3 + 8*x**2 + x + 13. Let j be v(-8). Let t(g) = j*p(g) + 6*u(g). Is t(6) prime?", "a": "True" }, { "q": "Let k(t) = 99*t + 15. Let g be k(3). Suppose 0 = -5*r + 4*v + 3225, 5*r - 2*r - 1908 = -3*v. Let p = r - g. Is p a prime number?", "a": "False" }, { "q": "Let x = 21 + -16. Let s be ((-9)/3)/(x/(20/(-6))). Let q(h) = 235*h - 3. Is q(s) prime?", "a": "True" }, { "q": "Suppose -n + 2194134 = 5*h + 270537, -n = -4*h + 1538874. Is h prime?", "a": "True" }, { "q": "Let z = -55352 - -205335. Is z prime?", "a": "False" }, { "q": "Is (-18)/(-4)*(-140044)/(-18) a prime number?", "a": "False" }, { "q": "Suppose -p - 2*f + 0*f - 31 = 0, 2*f - 44 = 2*p. Let y = p + 34. Suppose y*v = 7*v + 586. Is v prime?", "a": "True" }, { "q": "Let s = 6733 + -3787. Suppose 0 = -19*i + 13*i + s. Is i a composite number?", "a": "False" }, { "q": "Let p(b) be the second derivative of 53*b**3/6 - 11*b**2/2 + 30*b. Suppose -4*g + 9*g - 70 = 0. Is p(g) a composite number?", "a": "True" }, { "q": "Let h(a) = 132*a + 631*a - 212 + 221. Is h(4) prime?", "a": "True" }, { "q": "Let z(a) = -195*a**3 + 25*a**2 + 66*a + 13. Is z(-10) a prime number?", "a": "True" }, { "q": "Suppose -3*b - 5 + 8 = 0, -4*b = -5*m + 11. Is 9 + -7 + -229*(m + -14) composite?", "a": "False" }, { "q": "Suppose -4*y = 5*n - 47, -y - 21 = -5*n + 36. Suppose -13527 = -n*u - 2098. Is u prime?", "a": "True" }, { "q": "Suppose h + 5*y - 106 = -36, -4*h = 4*y - 200. Let d = h - 42. Suppose 614 + 253 = d*r. Is r a prime number?", "a": "False" }, { "q": "Is -2 + -3 - ((-3615108)/8)/((-45)/(-60)) a composite number?", "a": "False" }, { "q": "Suppose l + 869 = -2*q, 2*l + 5*q - 4270 = 7*l. Let p = 52 - l. Is p prime?", "a": "True" }, { "q": "Let s be 19 - 18/(-15)*10/(-4). Let i(x) = 3*x**2 + 33*x + 33. Is i(s) a prime number?", "a": "False" }, { "q": "Let j = 1058 - 613. Suppose -3*m + 2108 = -j. Is m prime?", "a": "False" }, { "q": "Let u = 87 + -111. Is u - -24 - -1*4827 composite?", "a": "True" }, { "q": "Is (7854/(-182) + (-2)/(-13))*-97 a prime number?", "a": "False" }, { "q": "Let h(o) = -237*o - 53. Let j = 34 + -40. Is h(j) a prime number?", "a": "False" }, { "q": "Let a(v) = -v**2 - 16*v + 11. Let o be a(-17). Let f be (3*-2)/(o/(-8)). Is (-5 - -1) + (7 - f) a prime number?", "a": "True" }, { "q": "Let h = 229 + 40. Suppose 2*p - 238 = 5*u, 3*p - 4*u - 74 = h. Is p a prime number?", "a": "True" }, { "q": "Suppose -5*u = -v + 2*v - 13087, 2*v = 3*u + 26213. Is v a composite number?", "a": "True" }, { "q": "Let o = 25173 + -13577. Suppose 5*j = 3*m - o, m - 5*j = -3*j + 3866. Is m prime?", "a": "False" }, { "q": "Let l(k) = -11*k**2 + 36*k + 2. Let m be l(3). Suppose 2*o = -m*o + 27937. Is o composite?", "a": "True" }, { "q": "Suppose -2*v + 0 = -4. Suppose v*f + 7 = 2*i + 1, 24 = 2*i + 4*f. Is (418/i)/((-2)/(-6)) a composite number?", "a": "True" }, { "q": "Is (-190253)/(-14)*10/(-35)*-7 prime?", "a": "True" }, { "q": "Suppose -3218 = -2*y + 30324. Is y prime?", "a": "False" }, { "q": "Let l(f) = 9*f**3 - 11*f**2 - 3*f - 26. Let v(c) = -6*c**3 + 7*c**2 + 2*c + 18. Let n(b) = 5*l(b) + 8*v(b). Is n(-11) prime?", "a": "False" }, { "q": "Let p(a) = a**3 + 3*a**2 - 5*a - 4. Let j be p(-4). Suppose j = 5*z - 3 - 12. Suppose -4*y - 528 = -2*s, 4*s + 0*s - z*y = 1081. Is s a composite number?", "a": "True" }, { "q": "Let i(b) = b**3 - 7*b**2 + 8*b - 4. Suppose 2*o = 0, 0 = 4*a + 5*o - 0*o - 24. Let r be i(a). Suppose -r = -h + 18. Is h a composite number?", "a": "True" }, { "q": "Suppose -4*o = 7 + 1. Is ((-7)/(-3) + o)*327 a composite number?", "a": "False" }, { "q": "Suppose 2*u - 4*w - 69390 = 0, 104075 = 3*u - 7*w + 11*w. Is u a composite number?", "a": "False" }, { "q": "Suppose 12*a - 13*a = -3. Suppose 0 = -g + s - 2*s + 5249, -15751 = -a*g - s. Is g prime?", "a": "False" }, { "q": "Let b = -207 + 177. Is 3/(-6) + (-5)/(b/1917) a composite number?", "a": "True" }, { "q": "Let j be (7 - (-3 + 7))*(-1)/(-3). Let y be (1806/(-18))/((j/(-9))/1). Let c = y - 338. Is c composite?", "a": "True" }, { "q": "Let b(c) = 11*c**2 - 15*c + 339. Is b(70) a composite number?", "a": "False" }, { "q": "Suppose 5*n - 11955 = 3*z - 117243, 5*n = 15. Is z prime?", "a": "False" }, { "q": "Let r = 33 + -33. Suppose b - 4*k - 7 = r, 2*k = -0 - 2. Is 62*-6*(-4)/6 + b prime?", "a": "True" }, { "q": "Suppose 11*o - 6 = 16. Is (2302/4)/(1/o) prime?", "a": "True" }, { "q": "Suppose q = 2*q - 2. Suppose -4*s + 2263 = 5*k - 3512, -4*s - q*k = -5766. Suppose 0 = z - 3*z - 4*d + 954, -3*d - s = -3*z. Is z a prime number?", "a": "True" }, { "q": "Let f(z) = z**2 - 20*z + 21. Let q be f(19). Suppose -4*x - 18 + 55 = 3*g, -5*x = -q*g - 6. Let y(t) = 3*t**3 - 2*t**2 - 11*t + 9. Is y(g) a prime number?", "a": "True" }, { "q": "Suppose -6*i - 5229 = -27927. Suppose 0 = -11*c + 13562 - i. Is c composite?", "a": "True" }, { "q": "Suppose -q = 2*b - 9437, 4*q = -2*b + 4058 + 5364. Is b composite?", "a": "False" }, { "q": "Let j = 97 - 540. Suppose 45 = h + 741. Let t = j - h. Is t composite?", "a": "True" }, { "q": "Let w(h) = 1166*h - 3. Let m = 174 + -164. Is w(m) composite?", "a": "False" }, { "q": "Let w(c) = -8*c - 20. Let z be w(-5). Suppose 4*l - 17 = -2*r + r, 5*l = -r + z. Suppose l*d + d = 332. Is d a prime number?", "a": "True" }, { "q": "Let l = 781902 - 463062. Suppose -33*z = -9*z - l. Is z composite?", "a": "True" }, { "q": "Let y = -226426 - -340539. Is y prime?", "a": "True" }, { "q": "Suppose -49*y + 13540683 = -50*y + 40*y. Is y a composite number?", "a": "False" }, { "q": "Suppose -7 = -2*w + 21. Let q be w/(-6)*(-8 + 5)*-1. Is (-2 - (-379 + 0)) + (-7 - q) composite?", "a": "True" }, { "q": "Let g(t) = -5*t - 32. Let y be g(-5). Let s(a) = -105*a - 44. Is s(y) prime?", "a": "True" }, { "q": "Suppose -j + 1322 = 5*a + 250, 2156 = 2*j - 2*a. Let m = j + -256. Is m a prime number?", "a": "True" }, { "q": "Let t(m) = -3 - 6 + 4 + 5*m**2 - 4*m + 3. Let k be (-4)/(-10) + (-260)/25. Is t(k) a composite number?", "a": "True" }, { "q": "Suppose -r - 3*r = 3*p - 178215, 3*p = -3*r + 178212. Is p a prime number?", "a": "False" }, { "q": "Suppose -4*v = -35032 - 24592. Suppose -5160 = 2*z - v. Is z composite?", "a": "True" }, { "q": "Suppose -k = 4*r - 12, 0 = 5*k - 2*k + 3*r. Suppose 5*j - 19 = j + f, 5*j - 5*f = 35. Is ((-262)/j)/(k - (-14)/4) a composite number?", "a": "False" }, { "q": "Let b(l) = l**2 - 2*l + 1557. Let u be b(0). Let x be (8/6)/(3 - 4673/u). Is 4/(-28) - x/14 a prime number?", "a": "False" }, { "q": "Let b = 243210 + -109064. Is b composite?", "a": "True" }, { "q": "Let r be 2/4*1*8. Let i be ((-372)/(-9))/(r/30). Suppose 5*s - 8781 = -4*v, 0 = s + 2*v - 2065 + i. Is s a prime number?", "a": "False" }, { "q": "Let c = -32753 - -57444. Is c prime?", "a": "True" }, { "q": "Suppose 0 = -4*v - 12, 3*v = -f - 2*f + 9. Suppose 7*r - 41 = f*r. Let w = 108 + r. Is w a prime number?", "a": "True" }, { "q": "Let g be 4*(5/(-2) + 3). Suppose g*u - u = -4*f - 7, 0 = f + 5*u - 3. Is (3405/5)/(f/2)*-1 prime?", "a": "False" }, { "q": "Let u = 256285 - 173264. Is u prime?", "a": "False" }, { "q": "Is (-6)/(-3) + (5 - 4)*-3 + 103188 prime?", "a": "False" }, { "q": "Suppose -3*d - 3*c = -5*d + 981, 4*d - 1972 = -4*c. Let w = 2303 - d. Is w a composite number?", "a": "False" }, { "q": "Suppose 3*p - 9 - 27 = 3*l, 0 = 3*l - 5*p + 44. Let a(f) = -308*f - 27. Is a(l) prime?", "a": "True" }, { "q": "Is (19869/(-74))/((-9)/402) a composite number?", "a": "True" }, { "q": "Suppose -3*u + 693313 = 4*i, -u + 4*i - 9287 = -240402. Is u prime?", "a": "True" }, { "q": "Let p = -40 + 42. Suppose p*y - 1 = 147. Suppose f = 5*b - 2503, -f + y = 2*b - 930. Is b a prime number?", "a": "False" }, { "q": "Let m(j) = 10*j**2 - 10*j - 9. Let h(i) = i**2 - i - 3. Let r be h(-4). Let q = 13 - r. Is m(q) prime?", "a": "True" }, { "q": "Suppose -10*p = -754 - 1276. Let f = 2040 + p. Is f composite?", "a": "False" }, { "q": "Suppose 2*x - 16*x + 591512 = -6*x. Is x composite?", "a": "False" }, { "q": "Let t(q) = 12*q**3 + q**2 - 18*q - 23. Let d(p) = 14*p**3 + 2*p**2 - 18*p - 23. Let r(i) = 3*d(i) - 4*t(i). Is r(-7) prime?", "a": "True" }, { "q": "Let v(w) = 20*w**3 + 5*w**2 + 14. Let y be v(7). Suppose -h - 8*h + y = 0. Is h a composite number?", "a": "True" }, { "q": "Let t = 1 - 1. Let s(u) = -u**3 + 4*u**2 - 2*u - 1. Let a be s(3). Suppose 2*m = -2*m - g + 1349, t = -a*m - 4*g + 678. Is m composite?", "a": "False" }, { "q": "Let r = -7 + 8. Suppose r = 3*w - 5*z, 0 = 5*w + z - 22 - 17. Suppose -2*g - 2035 = -w*g. Is g prime?", "a": "False" }, { "q": "Let m(k) = 5*k**2 + k - 2. Let a be m(1). Suppose 0 = t - 3, -3*b + t - a*t + 3072 = 0. Suppose 4*z + b - 3553 = 0. Is z composite?", "a": "True" }, { "q": "Let b(o) = 1 - 110*o - 3 - 3 + 0. Let h(l) = 1. Let f(s) = b(s) + 2*h(s). Is f(-4) a prime number?", "a": "False" }, { "q": "Suppose 10*o - 21884 = 4*o + 2*o. Is o composite?", "a": "False" }, { "q": "Let t(v) = v**3 + 6*v**2 - 11*v - 16. Let l be t(-7). Let r(h) = -h + h**2 - 10 - 13 + 4*h + l. Is r(-13) a composite number?", "a": "True" }, { "q": "Let i(z) = 12*z - 10. Let s be i(1). Is -4 + -1*750/(0 - s) a prime number?", "a": "False" }, { "q": "Let k(g) = g**3 - 10*g**2 - 32*g - 548. Is k(43) a prime number?", "a": "True" }, { "q": "Let p(c) = 2*c + 20. Let l be p(-12). Let x be (2/l)/((-11)/66) - -241. Suppose -8*q + x = -6*q. Is q a prime number?", "a": "False" }, { "q": "Let x(r) = -5*r**2 + 6*r - 6. Let p be x(3). Let j = -29 - p. Suppose 0 = j*g - 828 - 1344. Is g a prime number?", "a": "False" }, { "q": "Let v(u) = 292*u - 1283. Is v(46) prime?", "a": "True" }, { "q": "Is (-1578)/(-7 - -1)*(-3681)/(-9) composite?", "a": "True" }, { "q": "Let i = -47 - -47. Suppose p + j = -2*p - 63, -5*p + j - 105 = i. Is (-6)/p - (1 + 922/(-7)) a prime number?", "a": "True" }, { "q": "Suppose 21136 - 6651 = 3*o + 5*b, 0 = -2*b - 2. Suppose w + o = 4*v, 2*w - 10 = 7*w. Is v a composite number?", "a": "True" }, { "q": "Let d = -8 + 69. Suppose 0 = -3*w + 2*m - 6*m + 520, w - m = 171. Let k = w - d. Is k prime?", "a": "False" }, { "q": "Let d(v) = 14387*v - 1273. Is d(6) a prime number?", "a": "True" }, { "q": "Suppose 24*v - 661426 = -49*v - 13*v. Is v composite?", "a": "False" }, { "q": "Let w = 154 - -509. Suppose -5*d - w = 127. Let m = 95 - d. Is m prime?", "a": "False" }, { "q": "Let j = -37 + 39. Suppose -3*k = 2*w + j*w - 643, 209 = k - 4*w. Is 1/(-4) + k/4 composite?", "a": "False" }, { "q": "Let c = -7 - 27. Let n be (-249)/(-51) + (-4)/c. Suppose 4*w - 2*v = v + 4795, -n*v - 5 = 0. Is w composite?", "a": "True" }, { "q": "Let c(w) = 5*w**3 + 6*w**2 - 16*w - 13. Suppose t + 10 = -0*y + y, 4*y - 12 = -3*t. Is c(y) a composite number?", "a": "False" }, { "q": "Is 19/(-152)*(-1356421 + -3) prime?", "a": "True" }, { "q": "Let z(a) = a**2 + 9*a + 6. Let k = -23 - -20. Let s be z(k). Is ((-508)/6)/((s/(-9))/(-2)) composite?", "a": "False" }, { "q": "Suppose z + z = 8. Let l be 3/z - (257/(-4) - -1). Is 5424/l + (-1)/(-1 - 3) composite?", "a": "True" }, { "q": "Suppose -8443 = -w + 34118. Suppose 16*j + w = 25*j. Is j a composite number?", "a": "False" }, { "q": "Let b = -38 - -42. Suppose b*v - 5*v + 2 = 0. Is (3 + 3*39)/1 - v composite?", "a": "True" }, { "q": "Is (-13 - -12)/(-1*(-3)/(-17937)) prime?", "a": "False" }, { "q": "Suppose -33 = 18*k + 39. Is (84/(-18))/(-7)*(-61806)/k a prime number?", "a": "True" }, { "q": "Is (-1 - 3)/((-20)/19135) a prime number?", "a": "False" }, { "q": "Suppose -22*p - 2*r = -24*p + 65490, 0 = -4*p + 2*r + 130988. Is p a composite number?", "a": "False" }, { "q": "Suppose 13 - 25 = -4*x. Let n be (x/(-9))/((-5)/(-60)). Let f(s) = -5*s**3 + 2*s**2 + 5*s - 1. Is f(n) a prime number?", "a": "True" }, { "q": "Suppose 5*z = 46 + 9. Suppose 0 = 5*p - 6*p + 106. Suppose -z*o + 12*o = p. Is o composite?", "a": "True" }, { "q": "Let s(i) = -2*i**2 - 3. Let v be s(0). Is (v/(-6) - (-18)/(-4)) + 1086 a prime number?", "a": "False" }, { "q": "Suppose -31 - 17 = 8*a. Is (a - -5) + 7128/4 a composite number?", "a": "True" }, { "q": "Let j be 61 - (-3)/(1*-3). Let u = -837 + 842. Suppose -u*z - 4*q + 74 = -2*q, -5*z = -5*q - j. Is z a prime number?", "a": "False" }, { "q": "Let g(o) = 9*o**2 + o - 53. Suppose 0 = 5*a - 15 - 30. Is g(a) prime?", "a": "False" }, { "q": "Suppose -6*a + 154664 = -3*a + 5*b, -5*a - 3*b = -257800. Is a composite?", "a": "False" }, { "q": "Suppose -27 = -3*t - 12. Let g = 11 + -6. Suppose 0*c + 3*c - g*p - 2878 = 0, 5*c - t*p = 4780. Is c a composite number?", "a": "True" }, { "q": "Suppose 2*u + y + 5 = 7*u, -2*u - 10 = 2*y. Let z(r) = -r + 1810 + 82 - 2*r**2 + 211. Is z(u) composite?", "a": "True" }, { "q": "Suppose 69*w - 24638 = 95077. Is w a composite number?", "a": "True" }, { "q": "Suppose 5*m - v + 16 = 3*v, -4*v + 16 = 0. Suppose -4*b + 4*g - 5*g + 23112 = m, -23100 = -4*b - 4*g. Is b a prime number?", "a": "True" }, { "q": "Let w = -266 + 127. Is -1 + (3 + 2 - w) prime?", "a": "False" }, { "q": "Suppose 0 = 4*x + x. Let p be (-47 + x)*(55 - 4). Is 2 - (2/(-8) - p/(-12)) a prime number?", "a": "False" }, { "q": "Let x(l) = -l**2 + 4*l + 329. Let c(h) = -h**2 - 4*h + 5. Suppose -5*a - 26 = -v, -a + 4*v - 5 - 4 = 0. Let y be c(a). Is x(y) prime?", "a": "False" }, { "q": "Suppose -20*f + 21*f - 8 = 0. Suppose f*p = -4203 + 50243. Is p composite?", "a": "True" }, { "q": "Let r be 3 + -1*(-3 - 0/(-1)). Let m(a) = 78*a + 5. Is m(r) prime?", "a": "False" }, { "q": "Let x be 2*((-26)/(-12) + (-18)/27). Suppose 9*j = u + 7*j - 3239, x*j = u - 3242. Is u prime?", "a": "False" }, { "q": "Let r = -707 - -1179. Let i = 85 + r. Is i a composite number?", "a": "False" }, { "q": "Let u = 17 - 54. Let k = 35 + u. Is (-3)/k*(-4660)/(-30) composite?", "a": "False" }, { "q": "Let r = 78298 + -13080. Is r a prime number?", "a": "False" }, { "q": "Let x(w) be the first derivative of 13 + 77/2*w**2 + 5*w. Is x(2) prime?", "a": "False" }, { "q": "Let y = 28 + -30. Let b(o) = -1924*o**2 + o. Let s be b(y). Is ((-2)/2)/(2 - s/(-3846)) a composite number?", "a": "False" }, { "q": "Let w = 4335 + -1154. Is w prime?", "a": "True" }, { "q": "Suppose 4*d + 286776 = 4*m, -5*m - 5*d + 8*d = -358480. Is m prime?", "a": "True" }, { "q": "Is (-2 - 2871*-17) + (-9 - -14 - 7) composite?", "a": "True" }, { "q": "Let o be (2 - (-428)/10) + (-4)/(-20). Let g = -46 + o. Is g/(-7) - (-342)/7 a prime number?", "a": "False" }, { "q": "Suppose -95*t - x + 31034 = -93*t, 0 = 3*x - 2*x. Is t a prime number?", "a": "False" }, { "q": "Let b(c) = 16*c**2 + 4*c - 1. Suppose 3*d - 3 = -6*j + 8*j, -17 = 4*j + 5*d. Is b(j) a prime number?", "a": "True" }, { "q": "Let o(d) = 179*d**3 - 2*d**2 - 16*d + 20. Is o(7) composite?", "a": "True" }, { "q": "Let q(n) = 8*n + 37. Let o be q(-3). Let f(v) = -7*v + 1. Let i be f(-2). Suppose -o*z = -i*z + 254. Is z prime?", "a": "True" }, { "q": "Let u(b) = b**2 + 2*b + 1. Let c be u(-1). Let y(a) = a**2 - 2*a - 19. Let w be y(c). Let i = w - -50. Is i composite?", "a": "False" }, { "q": "Suppose 5*c + 3*h = 39, -c + 5*h = -18 - 1. Let u = -2 + c. Suppose u*g = 6*g + 251. Is g a prime number?", "a": "True" }, { "q": "Suppose -146*o + 145*o + 112199 = 4*n, 28076 = n - 5*o. Is n a prime number?", "a": "True" }, { "q": "Let u(q) = 12 - 3*q - 38 + 25*q**2 + 13. Is u(-6) composite?", "a": "True" }, { "q": "Let s(t) = 12*t**3 + 12*t**2 - 2*t - 9. Let h be s(4). Let u = h - -124. Is u composite?", "a": "True" }, { "q": "Suppose -10*a + 218479 + 229231 = 0. Is a a composite number?", "a": "False" }, { "q": "Let v(g) = 20*g**2 + 9*g - 12. Let a be (((-55)/(-4))/5)/(1/(-4)). Let c be v(a). Suppose 17481 = 4*h + c. Is h composite?", "a": "False" }, { "q": "Let w(q) = 1584*q + 49. Is w(15) a composite number?", "a": "True" }, { "q": "Is 2/35*15 + (-112114)/(-14) a composite number?", "a": "False" }, { "q": "Let d = 11321 + 9738. Is d a prime number?", "a": "True" }, { "q": "Suppose -270*h + 272*h = -2*p + 40582, 4*h - 2*p = 81140. Is h a composite number?", "a": "False" }, { "q": "Let z = -976 - -1699. Suppose -4*i = 3*c - 1970 - z, -5*i = 2*c - 3361. Is i a composite number?", "a": "True" }, { "q": "Let l be 277/9 - (-3 - (-25)/9). Suppose w + g = 14, -31 = -5*w - g + l. Is 300/9 + (-8)/w*-1 prime?", "a": "False" }, { "q": "Suppose 508 = l - y, 3*l - 1016 = l + 5*y. Let t = 3 + 0. Suppose -t*i = -4*o + l, -o + i = -3*i - 127. Is o prime?", "a": "True" }, { "q": "Suppose a - i + 3 = 0, 2 = 5*a + i + 17. Let y(t) = 4*t + 14. Let x be y(a). Suppose -s - 4*o = -211, -x*o = 3*s + s - 858. Is s prime?", "a": "False" }, { "q": "Suppose 3*z - 36879 = 3*k, -57*z = -55*z + k - 24592. Is z composite?", "a": "True" }, { "q": "Let s(a) = 10*a**2 - 4*a**3 - 8*a - 17 - 24*a**2 + 3*a**3. Is s(-16) composite?", "a": "True" }, { "q": "Suppose 0 = 4*s + 4, 0 = -4*g + 2*s + 3972 - 822. Is g composite?", "a": "False" }, { "q": "Suppose -6145584 = -35*v - 13*v. Is v a prime number?", "a": "True" }, { "q": "Suppose -3*v - 3*v - 293076 = -856614. Is v composite?", "a": "False" }, { "q": "Let s(d) be the third derivative of -d**6/120 + 13*d**5/60 - d**4/24 + 3*d**3/2 - 14*d**2. Let z be s(13). Is (0 - z/8)*586 a prime number?", "a": "True" }, { "q": "Let p(z) = z**2 + 2*z - 12. Let u be p(8). Let o(s) = -294*s**3. Let q be o(-1). Suppose 5*a - q = -m, 3*a + 5*m + u = 240. Is a a prime number?", "a": "True" }, { "q": "Suppose 0 = 8*g - 10*g + 8. Suppose -2*x = x - 4*j - 2398, -g*x + 5*j = -3196. Let h = x + 237. Is h a composite number?", "a": "False" }, { "q": "Let s(j) = 2*j**2 + 6*j + 53. Suppose -96 = 96*m - 92*m. Is s(m) prime?", "a": "True" }, { "q": "Let d = -2031 + -1180. Let l = d + 5487. Let y = l + -1414. Is y prime?", "a": "False" }, { "q": "Suppose 10*k = -k + 15411. Let l = 1988 - k. Is l composite?", "a": "False" }, { "q": "Let u(j) = -4449*j - 256. Is u(-7) a composite number?", "a": "True" }, { "q": "Let j(c) = c**2 - c + 4. Let r be ((-9)/(-6)*-2)/(-1). Suppose -r = -5*g + 27. Is j(g) composite?", "a": "True" }, { "q": "Suppose 5*o + 2*y = 809813, -8*y = o - 7*y - 161965. Is o prime?", "a": "False" }, { "q": "Let t(d) = 2653*d**2 - 3*d + 171. Is t(-8) a composite number?", "a": "False" }, { "q": "Let y(f) = -f**3 + 9*f**2 - 4*f - 16. Let i be y(8). Suppose i*g + 32888 = 24*g. Is g composite?", "a": "False" }, { "q": "Let n be (-16)/(-88) + 984/33. Suppose 3*b - n = p + p, -5*p + 9 = 3*b. Suppose 166 = 10*d - b*d. Is d a composite number?", "a": "False" }, { "q": "Let x be (-1 + -1)*1 - -5. Let y(a) = 58*a**2 + a - 10. Is y(x) a composite number?", "a": "True" }, { "q": "Let j(c) be the second derivative of 8*c**3/3 - 25*c**2/2 + 7*c + 4. Is j(6) composite?", "a": "False" }, { "q": "Let g(h) = 3*h**3 - 5*h**2 - 3*h - 25. Let k be g(8). Suppose 3545 = 3*u + 5*j - j, -u - 5*j + k = 0. Is u composite?", "a": "False" }, { "q": "Suppose 0 = -6*v + 2190 + 20802. Let d = -1069 + v. Suppose -3684 = -4*c + 3*x - 8*x, -3*c + d = -2*x. Is c composite?", "a": "True" }, { "q": "Let w(u) = -u**3 - 2*u**2 + 6*u - 4. Let d be w(-4). Suppose 11392 = d*h + 4*f, -3*h - f + 10204 = 1670. Is h a composite number?", "a": "False" }, { "q": "Let i be 3 - 6/(-24)*4. Let v(b) = 477*b - 61. Is v(i) composite?", "a": "False" }, { "q": "Suppose 7 = -c + 12. Suppose 3 - c = -2*f, 4*r = 3*f + 17. Suppose -145 = 4*s - r*s. Is s a prime number?", "a": "False" }, { "q": "Let u = 411 - 945. Let z = u + 801. Is z a prime number?", "a": "False" }, { "q": "Suppose 0 = -6007*r + 6006*r + 25693. Is r composite?", "a": "False" }, { "q": "Is 4669 + ((-527)/68 - (-1)/(-4)) a prime number?", "a": "False" }, { "q": "Let w(v) = 2197*v - 12. Let h be w(1). Suppose 0 = -s + 10926 - h. Is s composite?", "a": "False" }, { "q": "Suppose 0 = 4*v - 42 + 14. Suppose 0 = -2*r + f + 692, 2*f - v*f + 1384 = 4*r. Is 0 + r + -2 + 3 composite?", "a": "False" }, { "q": "Suppose -13799 = -8*f + 39665. Is f a prime number?", "a": "False" }, { "q": "Let t(g) be the third derivative of g**5/30 + g**4/24 - 2*g**3/3 + 5*g**2. Let n = -42 + 51. Is t(n) a composite number?", "a": "False" }, { "q": "Let r(k) = 103*k**2 + 12*k + 11. Let o = -154 + 148. Is r(o) a composite number?", "a": "True" }, { "q": "Let l(t) = t**3 - 5*t**2 + 3*t - 5. Let a be l(3). Let x(f) = f**3 + 21*f**2 - 3*f - 17. Is x(a) composite?", "a": "True" }, { "q": "Let s = 29058 + 9513. Suppose 5*q - 4*l - 12504 = s, 0 = -5*q + l + 51060. Is q prime?", "a": "True" }, { "q": "Suppose 66502 = -9*q - 72062. Let y = q + 24285. Is 6/(-27) + (y/27)/1 a composite number?", "a": "True" }, { "q": "Suppose 4*n + 119 = 2*m - 19, 0 = 2*n + 3*m + 81. Suppose 5*g + 24 = 4*a + 35, 0 = -2*a + 2*g - 6. Is ((n/(-15))/(-4))/(a/620) prime?", "a": "False" }, { "q": "Let u = 60 - 60. Let p = -102 - -170. Suppose u = -7*m + p + 1073. Is m prime?", "a": "True" }, { "q": "Suppose b + 11 = 4*z + 1, 3*b + 16 = 5*z. Suppose z = -i - 5*p, -5*i - p = -i - 11. Suppose -2*m + 2401 = 3*j + i*m, 3*j - 2397 = -3*m. Is j composite?", "a": "False" }, { "q": "Let v = 4301 - 1668. Is v prime?", "a": "True" }, { "q": "Let a = 4561 + -2036. Let c = -521 + a. Suppose -4*h = -c - 1144. Is h composite?", "a": "False" }, { "q": "Suppose 0*a + 8*a - 72 = 0. Suppose -a*l = 5*l - 24346. Is l a composite number?", "a": "True" }, { "q": "Suppose 2*v - 3*x + 2 = 0, -v - x = x + 8. Is 2785/15 - -3*v/18 composite?", "a": "True" }, { "q": "Let u(p) = 141*p**2 - 3*p - 1. Let d(l) = l**2 - l - 10. Let y be d(-5). Suppose 0 = -5*t - 2*z + 25, 5*t - 20 = -5*z + y. Is u(t) prime?", "a": "True" }, { "q": "Let z(q) = 8*q**2 + 20209. Is z(0) prime?", "a": "False" }, { "q": "Let f be 0/(-4 + 4 + -2). Suppose f*p + 3*p + 4*r = 1129, -4*r = -2*p + 726. Is p - (-4)/(5 - 3) a composite number?", "a": "False" }, { "q": "Let x(k) = -1326*k**3 + 5*k**2 + 4*k. Let s = 222 + -223. Is x(s) composite?", "a": "False" }, { "q": "Is ((-8)/96 - (-1894060)/48)/((-1)/(-2)) a composite number?", "a": "False" }, { "q": "Is (1 - -3) + ((-34)/(-6))/((-20)/(-10740)) prime?", "a": "False" }, { "q": "Let s(o) = 58916*o + 79. Is s(2) composite?", "a": "False" }, { "q": "Let i(k) = -k**3 + 7*k**2 + 10*k - 2. Let u be ((-12)/5)/(15/(-50)). Let j be i(u). Suppose -j = -p + 221. Is p composite?", "a": "True" }, { "q": "Let v(d) = 8 + 4 + 8 + 63*d + 2. Let g be v(-4). Let q = 417 + g. Is q prime?", "a": "False" }, { "q": "Suppose -5*y = 4*h - 24, -2*y - 4*h + 20 = 8. Let z(i) = 7*i**2 - i + 9. Let x be z(y). Suppose -5*o + 3*f = -629, -3*f - 2*f = -o + x. Is o a composite number?", "a": "False" }, { "q": "Let w(z) = 2*z - 18. Let r be w(11). Let i(c) = -3*c - r*c - 4 + c - c. Is i(-2) prime?", "a": "False" }, { "q": "Suppose -2*y = -3*b - 4, 0*y - 2*y + 12 = b. Let r(t) = -6*t - 4 + 11*t**2 - 3*t**2 + t**2. Is r(y) a prime number?", "a": "True" }, { "q": "Let z be ((-24)/(-10))/((-22)/68640) + 3. Let t = z + 10978. Is t prime?", "a": "False" }, { "q": "Suppose -19*m - 39*m - 66251 = -5196177. Is m a prime number?", "a": "False" }, { "q": "Suppose -w = -u - 41035, -3*w + u = 18885 - 141986. Is w prime?", "a": "False" }, { "q": "Let z(s) = s**3 - 9*s**2 + 8*s - 2. Let m be z(8). Let l be m - 2*(-36)/(-8). Let i = l + 33. Is i composite?", "a": "True" }, { "q": "Let i = 156 + -79. Suppose 2*z - i - 331 = 4*h, h = 3*z - 587. Is z prime?", "a": "False" }, { "q": "Let m = 259 + -139. Suppose 2 = -0*d - 2*d. Is (m/72)/(d/(-123)) prime?", "a": "False" }, { "q": "Let r = -299 - -677. Suppose 2*t = -r + 1376. Is t composite?", "a": "False" }, { "q": "Suppose -5*a + 110010 = 5*j, -a - 7451 + 51460 = 2*j. Is j a composite number?", "a": "True" }, { "q": "Let j = 8125 + 9933. Is j a prime number?", "a": "False" }, { "q": "Let q = 33648 - -7733. Is q a prime number?", "a": "True" }, { "q": "Let r(x) = 35115*x + 37. Let a be r(2). Suppose 4*h = a - 911. Is h a prime number?", "a": "False" }, { "q": "Let u(k) = 4*k + 3821. Let h be u(0). Suppose -4*m = a - h, -4*m - 11463 = -3*a - 3*m. Is a a composite number?", "a": "False" }, { "q": "Suppose -4*l + 7*l = 0. Let z be 2230 - l*(-2)/(-8). Suppose -z = 16*p - 21*p. Is p prime?", "a": "False" }, { "q": "Let t(i) = -i**2 - 18*i + 5. Let y be t(-16). Let c = 7 - 4. Suppose 0 = c*j - 2*j - y. Is j a composite number?", "a": "False" }, { "q": "Suppose 0 = 2*o - 4*z - 430350, 5*o - 45*z - 1075950 = -50*z. Is o a prime number?", "a": "False" }, { "q": "Suppose -13*d + 9*d = 180. Is 9/d - 891/(-5) composite?", "a": "True" }, { "q": "Suppose 5*v = 2*z - 2, 0 = -4*z + z + 5*v - 2. Let s be (-3)/54*z - (-14)/18. Is ((-1)/s)/(3/(-42)) composite?", "a": "True" }, { "q": "Let k(d) = 14*d + 2*d**3 - 2 + 29 - 19*d + 16*d**2 - 3*d**3. Let w be k(16). Let o = 484 + w. Is o prime?", "a": "True" }, { "q": "Suppose -6*y + 48 = 10*y. Suppose -2*o = -y*o - 3*t + 778, -o - 5*t = -772. Is o a prime number?", "a": "True" }, { "q": "Suppose 0 = -3*f + 29 + 16. Suppose -4*s + p = -f, 2*p + 0*p = -6. Is (1 - (s - (4 + -1))) + 14 composite?", "a": "True" }, { "q": "Let l = 69826 + 883. Is l composite?", "a": "False" }, { "q": "Let a(l) = 17*l + 3. Let h be a(-1). Let x be 4/(-12) + 170/15. Let q = x - h. Is q composite?", "a": "True" }, { "q": "Suppose -2*q + 40330 = s, -5*s + 3 = 23. Let k = q - 8738. Is k a composite number?", "a": "True" }, { "q": "Let h be 14/(-49) + 0 + (-36213)/(-7). Let u = -3612 + h. Is u composite?", "a": "True" }, { "q": "Is (2 - (-3789)/(-6))/(-3*3/198) prime?", "a": "False" }, { "q": "Suppose 7*n + 4 = 4*b + 11*n, -2*n = -b + 4. Suppose -5*j + w = -30433, 2*j = -b*w + 6896 + 5282. Is j a prime number?", "a": "False" }, { "q": "Let z = 31850 - 5191. Is z a prime number?", "a": "False" }, { "q": "Suppose x + 8*c - 3*c - 1075 = 0, 5*x = -2*c + 5375. Let f = 1510 + x. Suppose 5*g = 1370 + f. Is g a prime number?", "a": "False" }, { "q": "Let y = 53 - 45. Suppose -5*p = -p, p - y = -4*j. Suppose -5*o = j*d - 180, 5*o - 4*d = -3*d + 165. Is o prime?", "a": "False" }, { "q": "Suppose -16*i = -13*i + 5*x, 2*i = -3*x. Suppose 4*v - 5399 = 3*v - 3*m, 3*m = i. Is v a prime number?", "a": "True" }, { "q": "Suppose -2255*c + 2241*c + 862022 = 0. Is c a prime number?", "a": "False" }, { "q": "Suppose 6*c - 15*c + 2133 = 0. Let l = -101 - -572. Suppose -4*x = -c - l. Is x a prime number?", "a": "False" }, { "q": "Suppose -61*i = 18*i - 12730139. Is i a prime number?", "a": "True" }, { "q": "Suppose 3*d + 58591 - 692677 = 7*q, -q - 211366 = -d. Is d a composite number?", "a": "False" }, { "q": "Let l be -2 + 0 + 4 + -2. Let a be (0 + 1)*l/18. Suppose -4*t + 3*o + 836 = a, -209 = -2*t + t + 5*o. Is t prime?", "a": "False" }, { "q": "Is (-180938)/(-2)*(-5 - (22 + -28)) composite?", "a": "False" }, { "q": "Let b be ((-140)/(-14))/(-1 + 3). Let c = 1 + b. Is 1420/c*6/4 composite?", "a": "True" }, { "q": "Let a(b) = 17*b**2 - 9*b - 3. Suppose -8*f - 143 = 5*f. Is a(f) a prime number?", "a": "True" }, { "q": "Let h = 4433 + -3664. Is h prime?", "a": "True" }, { "q": "Is (-4)/3 + (11 - (-385856)/24) composite?", "a": "False" }, { "q": "Suppose -4*g - f + 228351 = 0, 332*g - 4*f + 228336 = 336*g. Is g a composite number?", "a": "False" }, { "q": "Let h(z) = 744*z**3 - 2*z**2 + z. Suppose -2*m - 21 + 23 = 0. Is h(m) a composite number?", "a": "False" }, { "q": "Let b(c) = 123*c - 71. Suppose 5*l = -0*l + 60. Is b(l) prime?", "a": "False" }, { "q": "Let h be (-6 - 1 - -6)*-1. Let a(g) = 1576*g**2 + 5*g - 2. Is a(h) prime?", "a": "True" }, { "q": "Suppose 5*y = -5, -6*l + y = -l - 786911. Is l prime?", "a": "False" }, { "q": "Suppose 44*q = 887669 - 44761. Is q prime?", "a": "True" }, { "q": "Let u be -8 - 0*3/(-12). Let v(x) = -2*x - 16. Let c be v(u). Suppose -s - 62 = -2*s + 5*b, 5*b - 15 = c. Is s prime?", "a": "False" }, { "q": "Let n = 9500 + -3679. Is n a composite number?", "a": "False" }, { "q": "Suppose -29*z + 1650 = -39*z. Let o = 416 + z. Is o prime?", "a": "True" }, { "q": "Let s be (-2)/(3/2 + (-5)/2). Let a be (-80)/(-24)*(s + 115). Let y = -263 + a. Is y a prime number?", "a": "True" }, { "q": "Let u(v) be the second derivative of 911*v**4/4 - 5*v**3/6 + 5*v**2/2 + v + 18. Is u(1) a prime number?", "a": "False" }, { "q": "Suppose -3*k = -9*y + 4*y - 762, 0 = -2*k - 4*y + 486. Suppose -g + k = -3*l - 257, -4*l + 4 = 0. Is g a composite number?", "a": "False" }, { "q": "Let i = 6222 - -14485. Is i composite?", "a": "False" }, { "q": "Suppose 43921 = 14*a - 21165. Suppose 5*z + 8451 - 31768 = -4*o, -z + a = -4*o. Is z composite?", "a": "True" }, { "q": "Let j(v) = 64*v**3 - 5*v**2 + 384*v + 22. Is j(15) a composite number?", "a": "True" }, { "q": "Is -3 + 270788/5 + (7 - (-165)/(-25)) composite?", "a": "True" }, { "q": "Let w(b) = -b**3 - 11*b**2 + 7*b - 3. Let r be (0 + 1 + -39)*2/(-2). Let m = r + -50. Is w(m) a composite number?", "a": "True" }, { "q": "Suppose 0 = 63*w - 6529146 - 2157987. Is w composite?", "a": "True" }, { "q": "Let b(o) = 997*o - 188. Is b(27) composite?", "a": "False" }, { "q": "Suppose 4*x - 5*v - 29827 = 0, -46*x - 4*v - 29824 = -50*x. Is x composite?", "a": "True" }, { "q": "Suppose 0 = -z - z + 22. Let d be 2/(-11) - z/(121/(-882)). Suppose 4*b + 77 = 5*b + 4*i, d = b + 3*i. Is b prime?", "a": "True" }, { "q": "Let y(j) = -j**2 + 17*j + 32. Let r be y(18). Is (-8 + r/(-4))/(1/(-146)) prime?", "a": "False" }, { "q": "Let i = 47 + 13. Is i/(-2 + 6)*1126/6 a composite number?", "a": "True" }, { "q": "Let t = -42 + -285. Let i = t - -2908. Is i prime?", "a": "False" }, { "q": "Suppose 0 = 8*y + 17591 + 529. Let j = 343 + y. Let h = j - -3025. Is h a composite number?", "a": "False" }, { "q": "Let z be 4*-3*78/(-72). Suppose 10*h + 1407 = z*h. Is h composite?", "a": "True" }, { "q": "Let h(l) = -l**3 - 7*l**2 - 14*l - 45. Let d be h(-6). Let i(k) = 156*k + 21. Is i(d) a composite number?", "a": "True" }, { "q": "Let n be (-4*(-3)/6)/(-2) + 747. Suppose h - 4*v = n + 43, 4*h - 5*v = 3211. Is h prime?", "a": "True" }, { "q": "Let x(v) = 620*v + 951. Is x(22) prime?", "a": "True" }, { "q": "Is ((-442315)/(-3))/((-1)/18*-6) prime?", "a": "False" }, { "q": "Let m = -3041 - -5392. Is m composite?", "a": "False" }, { "q": "Suppose -65*d = 1029994 - 5108549. Is d a prime number?", "a": "False" }, { "q": "Suppose -q = 5*t - 5*q - 19, q + 1 = 0. Suppose -t*c - 3982 = -4*c + 5*g, 7953 = 2*c + g. Is c composite?", "a": "True" }, { "q": "Suppose 6*y + 8384 = 2*y. Suppose w + 2*w = 2*p - 4031, 2692 = -2*w - p. Let l = w - y. Is l prime?", "a": "True" }, { "q": "Let p be (6 - 4)/2 + 8. Let f(h) = 11*h**2 - 13*h + 41. Is f(p) composite?", "a": "True" }, { "q": "Let q be (-3 + 2)*(0 + 0). Suppose q = 5*o - o - 432. Let y = o + 305. Is y composite?", "a": "True" }, { "q": "Let q be ((-17426)/(-8))/(3/24). Suppose -3*n + 2662 = -4*b + q, 4*b = -5*n + 14764. Is b a prime number?", "a": "True" }, { "q": "Suppose 5*a - 8*g + 6*g - 2 = 0, -4*g = -5*a + 4. Suppose 5*q + f - 7 + 0 = 0, -3*q + f = -9. Suppose -b - q*b + 93 = a. Is b a prime number?", "a": "True" }, { "q": "Let j be (5/(-20)*4)/((-1)/3). Let t(k) = k + 4. Let b be t(-3). Suppose 3 + b = 4*i, j*l - 3*i - 1470 = 0. Is l a prime number?", "a": "True" }, { "q": "Let o(p) = 5*p**2 - 4*p. Let v be o(2). Suppose -4*d - v = -0*d, -4*y = 2*d - 6. Suppose x = 2, -281 = -y*k - 3*x + 910. Is k a prime number?", "a": "False" }, { "q": "Let u(l) = 0*l - 9 - 3*l + 6*l - 3. Let a be u(0). Is (-10347)/a - -1 - (-1)/(-4) prime?", "a": "True" }, { "q": "Let s(k) = k**3 - 18*k**2 + 15*k - 23. Let v = 159 - 140. Is s(v) composite?", "a": "True" }, { "q": "Suppose 152 = z + 24. Let y(x) = z + 2*x - 76 - 15. Is y(-17) composite?", "a": "False" }, { "q": "Let u(j) = j**3 - 9*j**2 + j - 6. Let h be u(9). Suppose 3*b - 280 - 5147 = h*z, 5*b + 3*z - 9061 = 0. Is b a composite number?", "a": "False" }, { "q": "Let n(p) = p**3 + 26*p**2 + 25*p + 63. Let y be n(-23). Let d = 187 - -469. Let h = y - d. Is h a composite number?", "a": "False" }, { "q": "Let s be (-5)/((-8)/(-6)*10/(-120)). Suppose -48*h + s*h + 1455 = 0. Is h composite?", "a": "True" }, { "q": "Let o(a) = -a**3 + a**2 - 602. Let f be o(0). Let t = 1437 - f. Is t a composite number?", "a": "False" }, { "q": "Suppose 0 = -9*n + 23932 + 287. Let x = n + -1582. Is x prime?", "a": "True" }, { "q": "Let z be ((-18)/5 - -4)/(2/(-20)). Let n = 8 + z. Suppose -2*y - 1710 = -n*g - 632, -5*g + y = -1352. Is g prime?", "a": "True" }, { "q": "Let f(r) = 2*r**3 - 34*r**2 + 16*r + 21. Let z be f(23). Suppose -3*a = 2564 - z. Let w = a + 68. Is w prime?", "a": "True" }, { "q": "Suppose 7*u - 108 = 4. Suppose -u*h + 4*h = -23028. Is h a composite number?", "a": "True" }, { "q": "Let z(c) be the third derivative of 75*c**4 + c**3/2 - 15*c**2. Let s be z(3). Suppose -5*d - 1784 = -h, -5*d + 3*d = 3*h - s. Is h a prime number?", "a": "False" }, { "q": "Let y = 94 - 92. Is 2 + (-1 + 4 + 7079)/y a prime number?", "a": "False" }, { "q": "Suppose 0 = 11*w - 16*w - 495. Is (-247775)/w + (-4)/(-18) prime?", "a": "True" }, { "q": "Suppose 0 = 4*u - 5*u - 4, -2*u = -4*b + 20. Is ((-24)/(-36))/(1/b) + 4643 a prime number?", "a": "False" }, { "q": "Suppose -27*k + 4*q + 66616 = -23*k, -k - 4*q = -16629. Is k prime?", "a": "True" }, { "q": "Suppose 1541*z - 858508 = 1537*z. Is z a composite number?", "a": "True" }, { "q": "Suppose o - 4*x - 57551 = 0, 172688 = 3*o - 78*x + 73*x. Is o a composite number?", "a": "False" }, { "q": "Is ((-379519)/(-6))/7*(-1 + 7) a prime number?", "a": "True" }, { "q": "Suppose -12 = -10*l + 6*l. Suppose -l*i = -4*i + 4. Suppose 5*c - i*n - 649 - 542 = 0, -n + 957 = 4*c. Is c prime?", "a": "True" }, { "q": "Let g(h) = 56*h**2 - 3*h - 4. Let b be g(-4). Suppose -51*o - 4725 = -42*o. Let n = o + b. Is n a prime number?", "a": "True" }, { "q": "Let b(u) = 1862*u**3 + 10*u**2 - 33*u + 46. Is b(3) prime?", "a": "True" }, { "q": "Suppose -4*s - 12 = -8*s. Let a be (-80780)/(-18) + s + 100/(-36). Suppose 3*h - 1137 = -y - 2*h, -5*h = 4*y - a. Is y prime?", "a": "True" }, { "q": "Suppose 3*m + 4 = 5*m. Let k be 1472 + 16/4 - m. Is (k/(-8))/((-5)/20) a prime number?", "a": "False" }, { "q": "Suppose -14*q = -18*q + 19496. Suppose -4*x + 16 = c - x, 18 = 2*c - x. Suppose c*h = q + 596. Is h a prime number?", "a": "True" }, { "q": "Suppose 5*u = 19 + 1. Let v(t) = -3*t**2 + 3*t + 8*t - 4 - u + 4*t**3 - 5*t**3. Is v(-7) prime?", "a": "False" }, { "q": "Suppose -78*v + 12 = -75*v. Suppose -v*t = -1731 - 7849. Is t composite?", "a": "True" }, { "q": "Let s = 23052 - -3509. Is s composite?", "a": "False" }, { "q": "Suppose 5*r = r - t + 1, 4*r - 3*t + 3 = 0. Let l(s) = s + 1. Let m be l(5). Suppose r = 8*g - m*g - 758. Is g prime?", "a": "True" }, { "q": "Let y(f) = 59 + 20*f**2 - 26 + 10*f - 26. Is y(9) composite?", "a": "True" }, { "q": "Let l = 63372 + 261223. Is l a prime number?", "a": "False" }, { "q": "Let g = 1608 - -24907. Is g composite?", "a": "True" }, { "q": "Let j(s) = 139*s**2 + 5*s + 137. Is j(22) prime?", "a": "True" }, { "q": "Let s be (1978 - 3) + (-1 - -1). Let a be (-2)/(-9) + 485/45. Suppose s = -6*h + a*h. Is h prime?", "a": "False" }, { "q": "Let m = -195 - -198. Suppose m*s - 4*s - 3*i = -7820, -3*s - i = -23444. Is s a prime number?", "a": "False" }, { "q": "Suppose 0 = -2*v - 238 + 244. Suppose -2*a + 933 = v*b, -23 = 4*a + 4*b - 1895. Is a composite?", "a": "True" }, { "q": "Suppose -7*v + 2*v - 723 = 2*u, -5*u - v - 1842 = 0. Suppose a = 7*o - 3*o + 952, -952 = -a - o. Let t = a + u. Is t prime?", "a": "False" }, { "q": "Let i be (-21)/(-14)*1840/6. Let v(g) = 335*g + 7. Let q be v(9). Suppose 6*r + i = q. Is r a prime number?", "a": "False" }, { "q": "Suppose 3*n - 115948 = -4*s + 191299, 0 = 3*s - 3*n - 230430. Is s a composite number?", "a": "True" }, { "q": "Let q(x) = -x**2 + 7*x - 7. Let c be q(28). Let a = 3042 - 1906. Let b = c + a. Is b composite?", "a": "False" }, { "q": "Suppose -d - 8 = -5*d. Suppose 0 = 4*o + 4*g - 31164, -d*o + 7787 = -o + 3*g. Is o a prime number?", "a": "True" }, { "q": "Let n(r) = -13104*r - 11. Is n(-1) composite?", "a": "False" }, { "q": "Suppose 3*k + 24 = 11*k. Suppose -2*h = -2*z - 976, -k*z = -4*h - h + 2450. Is h composite?", "a": "True" }, { "q": "Let c(m) be the second derivative of 1/20*m**5 - 6*m**2 + 11*m - 5/6*m**3 + 0 + 7/12*m**4. Is c(5) prime?", "a": "True" }, { "q": "Let u(b) = 283*b + 11. Let j = 93 + -87. Is u(j) prime?", "a": "True" }, { "q": "Suppose 14*h - 18 = 11*h. Suppose -2*d - s = -h, 4*d = 5*s + 33 - 7. Suppose -d*c - 4*c = -4296. Is c composite?", "a": "True" }, { "q": "Suppose -4224*y + 4221*y + 335463 = 0. Is y composite?", "a": "False" }, { "q": "Let h(b) = 651*b + 587. Is h(40) a composite number?", "a": "False" }, { "q": "Let o = -15417 + 121170. Is o composite?", "a": "True" }, { "q": "Suppose -1095 = -v + 4*l, -3*v + 3245 = -3*l + l. Suppose 2*n = 4*j - 696, 4*n - 29 = j - 217. Let x = v - j. Is x prime?", "a": "True" }, { "q": "Let s(q) = 24499*q**2 - 6*q + 6. Is s(1) prime?", "a": "True" }, { "q": "Is (-2)/10 + 1 - (-69401518)/1490 a composite number?", "a": "True" }, { "q": "Is 3*(-4)/(-24)*(64653 + 1)*1 a prime number?", "a": "True" }, { "q": "Let h = -125 - -127. Suppose -2*d + 5837 = 3*x, 0 = -h*x - 2*d + 2205 + 1683. Is x a composite number?", "a": "False" }, { "q": "Suppose 8643*o - 506651 = 8626*o. Is o a composite number?", "a": "False" }, { "q": "Is (421892/(-10))/((-120)/300) composite?", "a": "True" }, { "q": "Suppose -362*n = -316*n - 350842. Is n a composite number?", "a": "True" }, { "q": "Let g(z) = -2*z**3 + 40*z**2 + 7*z + 17. Let b be g(20). Let q = b - -220. Is q composite?", "a": "True" }, { "q": "Suppose l - n = -3*n, -3*n = -2*l + 7. Is 9/((-45)/20) - (-5302)/l a prime number?", "a": "True" }, { "q": "Let y(r) = -26*r**3 + 44*r**2 + 69*r + 3. Let j(s) = 9*s**3 - 15*s**2 - 23*s - 1. Let f(w) = -11*j(w) - 4*y(w). Is f(12) prime?", "a": "True" }, { "q": "Suppose -2*q - 30 = -34, 3*q + 202709 = 5*f. Is f a composite number?", "a": "False" }, { "q": "Let n(t) = 1903*t - 169. Is n(2) prime?", "a": "True" }, { "q": "Is 17 + 4 + -22 - 1692*-9 a prime number?", "a": "True" }, { "q": "Suppose 0 = -3*t - 23 + 17, -4*d - 5*t + 451546 = 0. Is d a composite number?", "a": "True" }, { "q": "Let i(j) be the third derivative of j**4/8 - j**3 + 13*j**2. Let d be i(3). Suppose 4*w - 66 = d*x + 161, x = w - 56. Is w a prime number?", "a": "True" }, { "q": "Suppose -17*n + 860735 = 13404. Is n composite?", "a": "False" }, { "q": "Let n = -1718 - -2869. Let r = 175 - n. Let p = r + 2735. Is p a prime number?", "a": "True" }, { "q": "Let h = -494 - -734. Suppose -241*y = -h*y - 493. Is y a composite number?", "a": "True" }, { "q": "Suppose r = 2*j - 67698, -12*j + 16*j - 135384 = 5*r. Is j a composite number?", "a": "False" }, { "q": "Suppose -38*m + 35*m - a + 153300 = 0, 3*m = 3*a + 153312. Is m composite?", "a": "True" }, { "q": "Suppose 0 = 12*m - 9*m - 30. Is 323 + 13/((-65)/m) a composite number?", "a": "True" }, { "q": "Let o(u) = 2*u**2 + 13*u + 16. Let g(b) be the first derivative of b**3/3 + 7*b**2/2 - 2*b - 2. Let s be g(-3). Is o(s) prime?", "a": "False" }, { "q": "Suppose -2*j = -5*g - 885, -190 = -4*j - 4*g + 1566. Let t be j/(-35) + 9/(-21). Let a = 84 + t. Is a prime?", "a": "True" }, { "q": "Let t(m) = m**2 + 1. Let c be -11 + -1 + 1 + 2. Let v be t(c). Suppose -h + v = -75. Is h composite?", "a": "False" }, { "q": "Suppose 0 = -7*t + 1420687 + 143505. Suppose -t + 82946 = -10*x. Is x composite?", "a": "False" }, { "q": "Is 63719091/(-212)*8/(-6) prime?", "a": "False" }, { "q": "Let m = -199 - -193. Is m/(-39) + 17691/13 prime?", "a": "True" }, { "q": "Let c(t) = -2591*t + 1230. Is c(-23) composite?", "a": "True" }, { "q": "Let s(r) = -1823*r - 18. Let p be s(1). Let h = 338 - p. Is h a prime number?", "a": "True" }, { "q": "Let t = 105 - 105. Suppose -5*n - 10 = t, -v - n + 284 = v. Is v prime?", "a": "False" }, { "q": "Let n(f) = -9*f**3 - f**2 + 2*f + 11. Let k(q) = q**3 - q - 1. Let c(h) = 2*k(h) + n(h). Is c(-7) a prime number?", "a": "False" }, { "q": "Let i(f) = -19*f + 78. Let o(j) = 58*j - 234. Let g(p) = 11*i(p) + 4*o(p). Is g(13) a prime number?", "a": "False" }, { "q": "Suppose -5*l + 6 = -69. Suppose a = 6*a + l. Is 0 - (3 + 3690/a) composite?", "a": "True" }, { "q": "Is 1537104/33 + -2 + (-88)/(-968) composite?", "a": "True" }, { "q": "Let s = -62 + 38. Let k = -23 - s. Is (-3549)/(-28) - 2*k/(-8) a prime number?", "a": "True" }, { "q": "Is (2 + -127624)/(-11) - 3 a prime number?", "a": "False" }, { "q": "Let o = -25 + 29. Suppose 3*b = -4*x + 28537, o*x + 5*b + 4811 - 33346 = 0. Is x a prime number?", "a": "False" }, { "q": "Let q = -124 + 279. Suppose 14495 = 3*l - 3*i + q, -4*l + 19114 = -2*i. Is l a prime number?", "a": "False" }, { "q": "Suppose -2*h + 6*t = 5*t + 2862, 2*t = -2*h - 2868. Let m be (3 - 5)*(-2519)/(-2). Let u = h - m. Is u a composite number?", "a": "False" }, { "q": "Let w(d) = -9*d - 6. Let r(f) = -f**3 + 8*f**2 - 7*f. Let t be r(7). Suppose -9*x - 117 = -t*x. Is w(x) composite?", "a": "True" }, { "q": "Let z(j) = -2*j**3 - j**2 + 2*j + 1. Let v be z(-1). Suppose v = o - 923 - 1396. Is o composite?", "a": "True" }, { "q": "Let g(d) be the third derivative of -19*d**4/12 + 13*d**3/6 + 2*d**2. Let u be g(-10). Suppose -4*c = -c - u. Is c prime?", "a": "True" }, { "q": "Let c be (30762/(-7))/(-1*(-9)/(-63)). Suppose -5*z + c = 13*z. Is z composite?", "a": "False" }, { "q": "Suppose -2*h - 14 = 4*d, 2*h - 31 = 2*d + 3*d. Let y be (-501)/2*(-10)/h. Suppose 3*i - y = 2426. Is i prime?", "a": "True" }, { "q": "Let s(r) = -2629*r + 391. Is s(-10) a prime number?", "a": "True" }, { "q": "Let w = 78 + -41. Let f = w + -25. Is 4*11*3/f composite?", "a": "False" }, { "q": "Let u be 338/18 - 18/(-81). Let r = 22 - u. Suppose -y = -r - 56. Is y prime?", "a": "True" }, { "q": "Let z be (-19 + 4)*(-3)/(-27)*3. Let l(t) = -34*t**3 - 5*t**2 + 14*t + 8. Is l(z) a prime number?", "a": "False" }, { "q": "Let z = -20752 - -45918. Is z prime?", "a": "False" }, { "q": "Suppose 91*v - 914959 - 5428165 = -v. Is v a prime number?", "a": "True" }, { "q": "Suppose 6*l = 3*l + 93560 + 127645. Is l composite?", "a": "True" }, { "q": "Suppose 3*k - 89982 = j + 93115, 305171 = 5*k - 4*j. Is k a composite number?", "a": "False" }, { "q": "Suppose 5*m - 5 = 0, 0*m + m = -5*u - 54. Let t = -26 - u. Is (-5)/t + (-1)/((-9)/6891) composite?", "a": "True" }, { "q": "Let c(r) = 345*r**3 - 7*r**2 + 15*r + 4. Is c(6) a prime number?", "a": "False" }, { "q": "Let g(o) = 15729*o**2 - 47*o - 1. Is g(2) a composite number?", "a": "True" }, { "q": "Suppose -4*t - 34215 = -3*n + 20458, -2*t = -5*n + 91131. Is n prime?", "a": "False" }, { "q": "Suppose -5*f = 9*c - 267986, -4*c - 7*f + 3*f + 119096 = 0. Is c a composite number?", "a": "True" }, { "q": "Let v(a) = a**2 + 11*a - 15. Let x be v(-11). Let h be (x/10)/((-2)/4). Suppose 4*u - 2*u = 4*r + 2134, r = -h. Is u composite?", "a": "False" }, { "q": "Let q = -11502 - -16392. Let j = -2497 + q. Is j a prime number?", "a": "True" }, { "q": "Let a(y) = -18*y - 4 + y**3 - 13 + 16*y. Let p be a(7). Let x = p - 149. Is x a composite number?", "a": "False" }, { "q": "Let p be (-11)/((-33)/54)*3. Is 246 + (-12)/9*p/(-24) a prime number?", "a": "False" }, { "q": "Let v = 611071 + -434130. Is v prime?", "a": "False" }, { "q": "Suppose -2*r + 3*q + 142367 = 0, -5*r + 355980 = -7*q + 12*q. Is r a prime number?", "a": "True" }, { "q": "Is (-1 + -11)/4*(-629620)/60 a prime number?", "a": "True" }, { "q": "Suppose 0*f + 2*f + 16 = 4*s, -s - 5*f - 7 = 0. Suppose -1004 - 446 = -s*t + z, -1452 = -3*t + 3*z. Let o = t - 326. Is o prime?", "a": "True" }, { "q": "Let b(v) be the first derivative of 107*v**3/3 + 3*v**2/2 + 47*v - 63. Is b(-6) a prime number?", "a": "True" }, { "q": "Suppose -318128 = -29*x + 1029403 + 135848. Is x prime?", "a": "True" }, { "q": "Suppose 4*s + 28 - 92 = 0. Is 137*(s/28)/((-10)/(-35)) composite?", "a": "True" }, { "q": "Let g(b) = b**3 - b**2 - 22*b - 2. Let u be g(-4). Suppose -5*h + u*h = 3217. Is h a composite number?", "a": "False" }, { "q": "Let b be (-15)/(-10)*20/6. Let y be 12/b + (-34)/85. Suppose 5*h = y*v + 3203, -2*h + v + 640 = -h. Is h a prime number?", "a": "True" }, { "q": "Let t = -97549 + 52042. Is t/(-88) + 2/(-16) a prime number?", "a": "False" }, { "q": "Let t(b) = 8*b**2 - 10. Let p be t(12). Suppose -2*v + p + 1651 = g, 2*g = -10. Is v prime?", "a": "True" }, { "q": "Let u = 659444 - 361659. Is u a prime number?", "a": "False" }, { "q": "Suppose -8*h + 17724 = -4*h - 4*d, 4*h - 17728 = 2*d. Suppose -c - 1486 = -y - 2*c, -2*c - h = -3*y. Is y a prime number?", "a": "True" }, { "q": "Suppose -3*r - c = -91457, -76*r - 3*c - 30499 = -77*r. Is r a composite number?", "a": "True" }, { "q": "Let n = 30729 + -16700. Is n composite?", "a": "False" }, { "q": "Let b = 737 - -60. Is b prime?", "a": "True" }, { "q": "Suppose 42518 = 3*h + j, -j - 20881 = -2*h + 7466. Is h prime?", "a": "True" }, { "q": "Let l(a) = 590*a**3 - 5*a**2 - 7*a + 5. Let u(m) = -m - 1. Let f(g) = l(g) - 2*u(g). Is f(3) prime?", "a": "True" }, { "q": "Let u be 3547/3 - 4/12. Suppose -2*x = -u - 2380. Is x prime?", "a": "False" }, { "q": "Let b = 220787 + -124840. Is b a prime number?", "a": "True" }, { "q": "Suppose 2*b - 2584 - 118 = -178. Is b a composite number?", "a": "True" }, { "q": "Let i = -1282 + 2817. Is i a prime number?", "a": "False" }, { "q": "Let y(v) = v**2 + 10*v - 23. Let x be y(-12). Let o(b) = 56*b + 13. Is o(x) composite?", "a": "True" }, { "q": "Let a be (-8)/(-4)*(-117)/(-6)*3. Suppose -a = -2*g + 237. Suppose g = y - 26. Is y a prime number?", "a": "False" }, { "q": "Suppose -3*a - 49206 = -9*a. Suppose 2*k + a = 5*g, -2*g + 2*k - 6*k + 3266 = 0. Is g composite?", "a": "True" }, { "q": "Let k be ((-70)/25)/((-2)/10). Let u = 270 + 8835. Suppose -9*b = -k*b + u. Is b a composite number?", "a": "True" }, { "q": "Is (27/(-6) - -6) + (-3490949)/(-14) prime?", "a": "False" }, { "q": "Let p be (16/(-10))/((-132)/30 - -4). Suppose -3*r + 6*z = 10*z - 21171, -p*r - z + 28215 = 0. Is r a composite number?", "a": "True" }, { "q": "Let l(i) = 211*i**2 - 325*i - 15. Is l(-18) a prime number?", "a": "False" }, { "q": "Let q(n) be the third derivative of n**5/15 - 7*n**4/24 - 2*n**3/3 + n**2 + 252*n. Let c be 12/2 - (-2)/2. Is q(c) a composite number?", "a": "True" }, { "q": "Let h = 646240 - 416997. Is h composite?", "a": "True" }, { "q": "Suppose -20 = -5*v - 3*q, -q + 0 = 5*v - 20. Suppose 0 = -l + 8 + v. Suppose 17*x - l*x - 3755 = 0. Is x a prime number?", "a": "True" }, { "q": "Suppose 0 = -6*i + 2059 + 497. Suppose 0 = 5*a + 4*w - 1644, -5*w = -3*a + 553 + i. Let b = 621 - a. Is b composite?", "a": "False" }, { "q": "Suppose 11*g = -2*g + 25*g - 641652. Is g composite?", "a": "True" }, { "q": "Is (-1*6)/((-510)/3781735) a composite number?", "a": "False" }, { "q": "Suppose -f = f + 5*g - 20, 2*f - 2*g = 6. Suppose 4*c = -2*s + 1731 - f, -2*c = -3*s + 2549. Is s composite?", "a": "False" }, { "q": "Let y be (325/52)/(1/164). Suppose 0*m - y = -5*m. Is m prime?", "a": "False" }, { "q": "Let y = 25 + -23. Let u be (28/16)/(y/(-776)). Let p = -380 - u. Is p a composite number?", "a": "True" }, { "q": "Let k = -60980 - -127957. Is k composite?", "a": "False" }, { "q": "Let u(j) be the first derivative of 3*j**3 - j**2 + 2*j - 2. Let o be (-6 + 0)*(-8 - (-255)/30). Is u(o) prime?", "a": "True" }, { "q": "Is 157246/4 + 123/82 a composite number?", "a": "False" }, { "q": "Let n(q) = 36*q - 5. Let i = -57 + 63. Is n(i) a composite number?", "a": "False" }, { "q": "Let k = -310879 - -462242. Is k a composite number?", "a": "True" }, { "q": "Let v = 7280 + 20487. Is v a prime number?", "a": "True" }, { "q": "Let f(z) = 9*z**2 + 9*z**3 + 20 + 12*z**3 - 19*z**3 - 25*z. Let r(p) = -p**3 - 5*p**2 + 13*p - 10. Let h(v) = 3*f(v) + 5*r(v). Is h(7) prime?", "a": "False" }, { "q": "Let p = -96524 - -200265. Is p composite?", "a": "True" }, { "q": "Let y = 69294 + -38927. Is y composite?", "a": "False" }, { "q": "Let r(o) = -2*o - 19. Let g be r(-11). Suppose g*p = 4*u - 91, -4*p + 2*u - 6*u = 84. Is 83 + 10/(p/(-5)) prime?", "a": "False" }, { "q": "Is 177220 + 1/(336/(-49) - -7) composite?", "a": "True" }, { "q": "Let n(v) = -205*v + 41794. Is n(0) prime?", "a": "False" }, { "q": "Let z(r) = -7 + 12*r + r**3 + 14*r**2 - 3*r**3 + 3*r**3. Let w be z(-13). Is 1/w + 151260/72 composite?", "a": "True" }, { "q": "Let f = -361 - -1170. Suppose i + z = 1257, 3*z = 2*i - f - 1715. Is i composite?", "a": "False" }, { "q": "Is -11 - ((0 - 1167) + 5) prime?", "a": "True" }, { "q": "Let j(f) = 34110*f**2 - 86*f + 179. Is j(2) a prime number?", "a": "True" }, { "q": "Let t(w) = -26*w**2 + 2*w - 7. Let k be t(5). Let u = -759 - 195. Let n = k - u. Is n a composite number?", "a": "False" }, { "q": "Suppose -108*x + 952453 = -85*x. Is x a prime number?", "a": "True" }, { "q": "Suppose 13*o + 3*o - 13760 = 0. Let f = o + -7. Is f a composite number?", "a": "False" }, { "q": "Let n = 227603 - 61362. Is n composite?", "a": "True" }, { "q": "Let b(f) = -f**2 - 13*f - 46. Let r be b(-4). Let j(i) = -200*i - 51. Is j(r) prime?", "a": "True" }, { "q": "Suppose -11*t + 2*d + 89300 = -6*t, -t + 5*d = -17883. Is t prime?", "a": "False" }, { "q": "Let v(x) = x**3 + 65*x**2 + 36*x - 101. Is v(-50) composite?", "a": "True" }, { "q": "Let s(q) = 314*q + 41. Let d be s(-6). Let n = 1620 - d. Is n a composite number?", "a": "False" }, { "q": "Let f = 52 + -115. Let u be f/147 - (-48)/14. Suppose -3*n + 0*n + 238 = 5*l, 2*n - 127 = u*l. Is n a prime number?", "a": "True" }, { "q": "Suppose -289*r - 35672 = -293*r. Let c = r - 5997. Is c a prime number?", "a": "False" }, { "q": "Suppose 1157162 - 5990812 = -71*m + 21*m. Is m a prime number?", "a": "False" }, { "q": "Let g be ((-2)/(-6))/((-14)/(-42)) + -1. Let k be (4/10)/((-2)/10). Is (-1)/k*(538 - g) a composite number?", "a": "False" }, { "q": "Suppose -k + 71 = -5*u, u = -2*k - 10 - 2. Let x(i) = -499*i + 65. Is x(u) a prime number?", "a": "False" }, { "q": "Let x = 60 - 57. Suppose -x*t + 4153 = 2*c, -5*t + 6911 = -2*c - 0*c. Is t a composite number?", "a": "True" }, { "q": "Let b(t) = -1482*t + 4367*t - 1500*t + 9 - 2 - 1438*t. Suppose -2*a - 2*i = -0*a + 26, 5*i = 4*a + 7. Is b(a) a prime number?", "a": "True" }, { "q": "Is 71237 + (2 + -2 - 4) a composite number?", "a": "False" }, { "q": "Is 1/(2/(-61))*-1082 composite?", "a": "True" }, { "q": "Let y = 320 + -1378. Let t be 17/(-3)*(0 + -279). Let s = y + t. Is s prime?", "a": "True" }, { "q": "Let z = 0 + 1. Let v be (77/22)/(z/6). Suppose v = -2*u + 319. Is u prime?", "a": "True" }, { "q": "Is -7 - (1/(-13) - (-6814855)/(-65)) a composite number?", "a": "True" }, { "q": "Let l be (-2)/8 - -1*(-3781)/(-4). Suppose 0 = 2*x + x + l. Let t = 834 + x. Is t prime?", "a": "False" }, { "q": "Suppose -j - 3*x = 2*j - 315, 5*x = 0. Let i = -38 + j. Is i a composite number?", "a": "False" }, { "q": "Suppose -9*l - 17 = 10. Is (-1 + l)/4*(-2053 + 0) prime?", "a": "True" }, { "q": "Let i be 9825/10*(-1 + -707)*-1. Is (i/(-25))/(-9) + (-3)/5 a composite number?", "a": "True" }, { "q": "Let o be -3 - (1 - 7 - 0/7). Suppose -o*c + 1407 = -3*g, -5*c + 2580 - 235 = g. Is c prime?", "a": "False" }, { "q": "Let y(d) = 94*d + 81. Is y(22) a prime number?", "a": "False" }, { "q": "Suppose 3*h = z + 46818, -13*z + 8*z = -15. Is h prime?", "a": "True" }, { "q": "Let c = -763 - -2585. Suppose c = -52*n + 54*n. Is n prime?", "a": "True" }, { "q": "Is (-15 - -17) + (3 - (-187590 + -4)) prime?", "a": "False" }, { "q": "Let s(x) = x**3 - 18*x**2 + 22*x + 14. Let v be s(19). Let i = v + 1336. Is i a composite number?", "a": "False" }, { "q": "Suppose 44*x - 1338224 = 28*x. Is x composite?", "a": "False" }, { "q": "Let l(z) = z**3 - 5*z**2 + 3*z + 17. Let x be l(-4). Let r = 172 + x. Is r a prime number?", "a": "False" }, { "q": "Let m(y) = 153*y**2 - 6*y + 3. Let b be m(-4). Suppose -611 = -2*h + b. Is h prime?", "a": "True" }, { "q": "Suppose -2*r + 229519 + 355335 = 0. Is r a prime number?", "a": "True" }, { "q": "Let c(z) = z**2 - z - 1. Let d(v) = 5*v**2 - 33*v + 37. Let f(t) = -2*c(t) + d(t). Is f(28) a composite number?", "a": "False" }, { "q": "Let l(i) = 1742*i - 2227. Is l(61) prime?", "a": "False" }, { "q": "Let q = 26261 + 42344. Is q prime?", "a": "False" }, { "q": "Suppose 12*i = 424335 + 61149. Is i a composite number?", "a": "True" }, { "q": "Let n(j) = 405*j**2 + 26*j + 109. Is n(-6) a prime number?", "a": "True" }, { "q": "Suppose 0 = 3*t + i - 3 + 4, 0 = 4*t + 4*i + 4. Let d(q) = q**2 - 2*q + 5. Let r be d(t). Suppose 4*n + 869 + 1480 = r*u, -2*u = 2*n - 936. Is u prime?", "a": "False" }, { "q": "Let v = 4917 - 3375. Suppose -3*i + 156 = -v. Suppose -i = -6*s + 196. Is s composite?", "a": "False" }, { "q": "Suppose -1638*i + 988208 = -1622*i. Is i prime?", "a": "False" }, { "q": "Let o(r) = 27*r**2 + 2*r + 4. Let b be o(3). Suppose 3*m - 5*g + b = -120, 0 = -3*m - 4*g - 409. Is (m + 4)/(-2 + 1) a prime number?", "a": "True" }, { "q": "Let t(y) = 2*y**3 - 13*y**2 + 7*y + 2. Let z be t(6). Let u be (-2)/z + (-33219)/(-12). Suppose -5*r + 2*f + u = 0, 0 = -2*f + 2. Is r a composite number?", "a": "True" }, { "q": "Let q = -23 - -33. Suppose -2*t = -0*t - q. Suppose 2*b - 3*y - 1781 = 0, -b = t*y - 2*y - 904. Is b a prime number?", "a": "False" }, { "q": "Suppose -3*k + j = -42, 6 - 20 = -k - 5*j. Let m be (-1476)/28 - 4/k. Let q = m + 106. Is q a composite number?", "a": "False" }, { "q": "Suppose 4*w - 2*l = 3000, 5*l + 1516 = -12*w + 14*w. Let u = w - -339. Is u a prime number?", "a": "True" }, { "q": "Let n = -18453 - -28744. Is n a prime number?", "a": "False" }, { "q": "Suppose 20*o + 39663 = 11*o. Let i = -2593 - o. Is i a composite number?", "a": "True" }, { "q": "Suppose 0 = 440*j - 491*j + 7903419. Is j composite?", "a": "True" }, { "q": "Let t = 13 - 8. Let c(k) = k**2 - 10*k - 35. Let f be c(13). Suppose -f*a - 6 = 2, 0 = -t*y - 2*a + 3091. Is y a prime number?", "a": "True" }, { "q": "Let s(n) = -1488*n - 91. Is s(-19) prime?", "a": "True" }, { "q": "Let u be (204885/(-10))/(-9)*2. Suppose 4*c - 15054 = -5*h, 0 = -2*h - 4*c + 2842 + 3182. Let w = u - h. Is w prime?", "a": "True" }, { "q": "Let m(v) = -11*v - 41. Let b be m(-12). Let g = b + 1422. Is g a prime number?", "a": "False" }, { "q": "Let g = -7635 + 11248. Is g a prime number?", "a": "True" }, { "q": "Let r = -177 - -173. Is (r + 4 - 1) + (1 - -4507) composite?", "a": "False" }, { "q": "Let y(a) = -4 - 3 - 523*a + 4 + 65*a. Suppose 3*i = -2*h, 5*i - 4*h + 2*h = -16. Is y(i) composite?", "a": "True" }, { "q": "Suppose 10 = -4*i - 6. Is (10910/i)/(6/(-12)) prime?", "a": "False" }, { "q": "Let v = -422 + 2282. Suppose -4*q = 3*r - 2806, v = 3*q + 3*r - 243. Is q prime?", "a": "False" }, { "q": "Let g(r) = 34*r**2 - 13*r - 8. Let y(w) = 3 + 11 - 2*w - 5 - 34*w**2 + 16*w. Let p(i) = 6*g(i) + 5*y(i). Is p(-4) a composite number?", "a": "True" }, { "q": "Let l = 226 - 230. Is l + 1027 + -2 + 6 composite?", "a": "True" }, { "q": "Let y = -64 - -66. Suppose 0 = -3*l + 5*b + 8497 + 8909, -4*l + 23234 = y*b. Is l prime?", "a": "True" }, { "q": "Suppose 155591 + 477043 = 5*c - j, -2 = -2*j. Is c a composite number?", "a": "True" }, { "q": "Let l be (-1)/((0 - -3)/(-9)). Suppose 4*g - 20 = 4*q, l*q - 5 + 0 = -2*g. Suppose -229 = -g*v + 3*y, -3*v - 4*y = 2*v - 294. Is v prime?", "a": "False" }, { "q": "Suppose -5*s = -5*b - 20, 0*s - 4 = 2*s + b. Let f(o) = -214*o + s + 854*o - 5. Is f(1) prime?", "a": "False" }, { "q": "Let c = 1070 + -1068. Let d be 701*(-4)/(-2) - 1. Is d/c + (-13)/(-26) composite?", "a": "False" }, { "q": "Let d be (-1 - (-13)/4)*2148. Let r = -2343 + d. Suppose 4*s = 2050 + r. Is s a composite number?", "a": "True" }, { "q": "Is ((-13)/(-26))/((-304035)/(-152016) + -2) + 3 composite?", "a": "False" }, { "q": "Let u be 1 + -4 - -10 - 5. Suppose u*b - 1173 = b - 4*f, 0 = 2*b + 2*f - 2370. Is b prime?", "a": "False" }, { "q": "Suppose 4*u - 84 = -12. Suppose 4*v + 22 = 4*w + 3*v, u = 4*w + v. Suppose -11082 = -w*b - 3*g + 592, 0 = -2*b + g + 4663. Is b composite?", "a": "False" }, { "q": "Suppose 3*w + 5*v - 20 = -w, 2*v = -w + 8. Suppose w = -6*g + 9422 + 10684. Is g a composite number?", "a": "True" }, { "q": "Let s = -34607 - -324070. Is s a composite number?", "a": "False" }, { "q": "Suppose -5*j = 4*a - 92831, -3*a - 30*j + 69625 = -28*j. Is a a composite number?", "a": "False" }, { "q": "Let p(l) = 24*l**2 - l - 30. Let a be (-78)/(-7) - 16/112. Is p(a) a prime number?", "a": "False" }, { "q": "Suppose -9*w = 4*u - 4*w - 187, 4*u + 2*w = 190. Is (-11791)/(-4) + (-36)/u prime?", "a": "False" }, { "q": "Let o = -21106 - -37721. Is o a prime number?", "a": "False" }, { "q": "Suppose -15*g = 4*g + 14*g - 363495. Is g composite?", "a": "True" }, { "q": "Let z(c) = 30*c + 41. Let g(h) = h**3 + 4*h**2 - 46*h + 4. Let y be g(-9). Is z(y) composite?", "a": "False" }, { "q": "Suppose 48*k = -15*k + 174951. Is k a composite number?", "a": "False" }, { "q": "Suppose -5*x - 5*b = -337905, x - 39693 = 5*b + 27894. Is x composite?", "a": "True" }, { "q": "Let z = 183 - 174. Suppose -14*t + z*t = -6735. Is t a prime number?", "a": "False" }, { "q": "Is 0 - -162761 - (-15*9/(-45) + -9) composite?", "a": "True" }, { "q": "Suppose 517 = -5*f + 2*t, 5*f - 60 = t - 581. Let l = f + 892. Is l a prime number?", "a": "True" }, { "q": "Is 7438952/72 - 10/(-45) prime?", "a": "True" }, { "q": "Suppose -3*v = -3*j - 30, -2*j + 7*j - 20 = 0. Let a(f) = 2*f - 24. Let h be a(v). Suppose -h*b = -1770 - 4154. Is b a prime number?", "a": "True" }, { "q": "Let w(a) = 121*a**2 - 196*a - 12. Is w(11) prime?", "a": "True" }, { "q": "Suppose -2*w = -4*s + 6, w + 9 = 2*w + s. Suppose -1775 = -8*z + 3505. Suppose -4*y + 4342 = 5*j - z, -6261 = -w*y - 2*j. Is y a composite number?", "a": "True" }, { "q": "Suppose 3*n + 0*o - 5*o - 8 = 0, 3*n + 3*o = 24. Is 2/(n/3)*13812/6 composite?", "a": "True" }, { "q": "Let m = 30637 + 8070. Is m a prime number?", "a": "True" }, { "q": "Let u(x) = -250*x**2 + 15*x + 7. Let g be u(-3). Let n = g - -3930. Is n composite?", "a": "True" }, { "q": "Suppose 4*h + 2*g = 4*g + 15172, -3*h + 5*g = -11393. Let m = h + 3284. Suppose 2*k - m = -3*k. Is k a prime number?", "a": "False" }, { "q": "Let o(z) = 41*z**3 - 36*z**2 + 214*z + 46. Is o(15) prime?", "a": "False" }, { "q": "Let i = -722 - -2265. Is i a prime number?", "a": "True" }, { "q": "Suppose -4*z - 2*f + 0*f = -17344, 3*z - 3*f - 12999 = 0. Let u = -1196 + z. Is u a prime number?", "a": "False" }, { "q": "Suppose 0 = 4*i + 4*t, 6*i = 3*i + t - 4. Let d be i + 0 + -1186 + 4. Let l = -674 - d. Is l a prime number?", "a": "True" }, { "q": "Suppose -17*g + 6594 + 4711 = 0. Let d = 1122 - g. Is d composite?", "a": "False" }, { "q": "Let q = -44893 - -102078. Is q prime?", "a": "False" }, { "q": "Suppose 5*c = -r + 1 + 21, 0 = -2*c - 4*r + 16. Suppose -3*l = -5*g - 766, -5*l + 0*g - c*g = -1252. Let p = 521 - l. Is p a composite number?", "a": "False" }, { "q": "Let o = -183 - -168. Is 6/9 - 28955/o prime?", "a": "True" }, { "q": "Is (-6024286)/(-34) + (-32)/(-272) a prime number?", "a": "False" }, { "q": "Suppose 5*l = 2*l + 4*k - 2, 0 = l + 4*k - 10. Suppose -l*g + 3583 = 3*y, 3*g = -4*y + 3294 + 2081. Is g a composite number?", "a": "True" }, { "q": "Suppose 22542 - 374 = 9*g - 4229. Is g prime?", "a": "False" }, { "q": "Let y(k) = -3839*k + 65. Let j be y(-9). Suppose 46*h - j = 38*h. Is h a composite number?", "a": "False" }, { "q": "Suppose 3*s - 2*s + 36 = t, t = 3*s + 36. Let q = 0 + 1. Is q + 6/(-8) - (-10827)/t prime?", "a": "False" }, { "q": "Let b = -39536 - -134105. Is (b/(-58))/(3/(-2)) a composite number?", "a": "False" }, { "q": "Suppose -643342 + 2064458 = 18*p - 1760870. Is p a composite number?", "a": "False" }, { "q": "Let q = -252997 + 420468. Is q a prime number?", "a": "True" }, { "q": "Let q be 12/(-54) + 110/9. Suppose q*d - 24808 = -4*v + 7*d, d = -v + 6201. Is v a prime number?", "a": "True" }, { "q": "Suppose 129 = r - 55. Suppose 25*c + 2*c = 3375. Let a = r - c. Is a prime?", "a": "True" }, { "q": "Suppose q - 2*v = -23, 0 = -q + 2*v - 4*v - 39. Let r = 34 + q. Suppose -4*l - 1674 = -6*k + r*k, 1093 = 2*k + 5*l. Is k a composite number?", "a": "True" }, { "q": "Let c be -8*3/(-6) - 2. Let m = -2 - -6. Suppose c*l + 4 = 0, 0 = m*o + l + 4*l - 14. Is o a composite number?", "a": "True" }, { "q": "Suppose 5*o = -3*h + 2*h + 3, 2*o + 30 = -3*h. Let w(f) = -123*f - 17. Is w(h) composite?", "a": "False" }, { "q": "Let p(z) = 364*z**2 - 103*z + 8. Is p(6) a composite number?", "a": "True" }, { "q": "Let q be ((-23)/(-2))/((-15)/(-30)). Let y = -18 + q. Suppose -l - y*h + 503 = -2*h, -962 = -2*l + 5*h. Is l a prime number?", "a": "True" }, { "q": "Is 8835944/(-286)*22/(-4) a prime number?", "a": "False" }, { "q": "Let q(w) = 3*w**3 - 5*w**2 - 3*w + 3. Let v(r) = 2*r - 1 + 6*r - 4*r - 3*r. Let m(z) = -q(z) - 2*v(z). Is m(-6) a prime number?", "a": "True" }, { "q": "Is (46527/(-12) + -1)/(13/(-52)) - 2 composite?", "a": "False" }, { "q": "Let q = 5852 + -8474. Let n = 317 - q. Is n a composite number?", "a": "False" }, { "q": "Suppose -6 = 2*a, -240*j - 4*a - 345317 = -245*j. Is j a composite number?", "a": "False" }, { "q": "Is 486365/10 + -7 + -2 + 6/4 a prime number?", "a": "False" }, { "q": "Suppose -5*f + 9 + 11 = 0. Let p be 2/f + 305/10. Suppose -3*l + 224 = -p. Is l composite?", "a": "True" }, { "q": "Let x(d) = 3*d**3 + 5*d**2 + 20 - 4*d**3 + 6*d**2. Let a be x(11). Is 5/(-2)*(-968)/a prime?", "a": "False" }, { "q": "Let g(n) = n**3 - 4*n**2 + 4*n + 1. Let k be g(2). Let v be ((-3)/(-2))/(k/(-26)). Let t = 72 + v. Is t prime?", "a": "False" }, { "q": "Suppose 3*n = -2*z + 18133, -38 = 2*n - 48. Is z a prime number?", "a": "True" }, { "q": "Let s(u) = u**3 - 21*u**2 + 98*u - 103. Is s(19) prime?", "a": "False" }, { "q": "Let z(p) = p. Let u(v) = -v**2 + 18*v + 19. Suppose 10 = w + 3*o, 3 = -3*w + 2*o - 0*o. Let a(g) = w*u(g) - 3*z(g). Is a(15) prime?", "a": "True" }, { "q": "Let q be (-1)/3*(-6)/(-12)*0. Suppose q = 2*h - m - 4, h = -4*m + 9 + 2. Suppose -h*d + 2*v = -751, 498 = 2*d - 6*v + 2*v. Is d prime?", "a": "True" }, { "q": "Let h be 4 + 2 - 3 - -16. Suppose -h = -5*l - 2*i + 1, 2*l + 16 = 4*i. Suppose 0 = -4*a + l*a + 806. Is a composite?", "a": "True" }, { "q": "Let q(p) = 2675*p + 8. Let d be q(1). Let n = d + -1426. Is n a composite number?", "a": "True" }, { "q": "Let b(w) = 38*w**2 - 7. Let a be (6 - 0)/(10/(-5)). Let c be b(a). Suppose c = -48*x + 49*x. Is x a prime number?", "a": "False" }, { "q": "Suppose -17 = 3*b + 2*w, -3*w + 0*w = 3. Let a be b - ((0 - -3) + (-10)/2). Is a + (318 - (4 - 3)) a prime number?", "a": "False" }, { "q": "Let l(j) = 6533*j**2 - 50*j - 242. Is l(-5) a composite number?", "a": "True" }, { "q": "Let b = 131181 - 75440. Is b prime?", "a": "False" }, { "q": "Let x(i) = 3963*i**3 + 10*i**2 - 8*i - 14. Is x(3) composite?", "a": "False" }, { "q": "Let h = -54585 + 104956. Is h a prime number?", "a": "False" }, { "q": "Let d(p) = 5*p**3 + 5*p**2 + 2*p - 5. Let u be -6*((-9)/9 - (-10)/6). Let j(k) = 9*k**3 + 10*k**2 + 5*k - 9. Let b(q) = u*j(q) + 7*d(q). Is b(-9) prime?", "a": "True" }, { "q": "Let y(u) = -3*u**2 - 17*u - 6. Let m be y(-5). Let t(o) = 0*o + 8 - 3*o + 5*o + 29*o**2 - m. Is t(-3) prime?", "a": "False" }, { "q": "Suppose -5*i + 155 = 20. Suppose 0*f - i = -9*f. Suppose 0 = f*u + 2*c - 163, 4*c - 155 = -4*u + u. Is u a composite number?", "a": "True" }, { "q": "Is (-1 + (-29)/(-1))*(-141322)/(-152) a prime number?", "a": "False" }, { "q": "Let y be (-13)/(1192/2716 - (-3)/(-7)). Let i = 432 - y. Is i composite?", "a": "False" }, { "q": "Suppose o = -j + 115056, -3*o + j + 118366 + 226806 = 0. Is o composite?", "a": "False" }, { "q": "Let h = 117082 + -79631. Is h a composite number?", "a": "True" }, { "q": "Let q(m) = m**3 + 17*m**2 + 20*m + 67. Let a be q(-16). Let x(h) = 1869*h**2 - 3*h - 1. Is x(a) a prime number?", "a": "True" }, { "q": "Suppose 197249 = 3*d - 2*u, -168788 - 94244 = -4*d - 4*u. Is d composite?", "a": "True" }, { "q": "Let u be (3 - 7) + 3 + 1. Suppose 2*b = 3*b - 2, -f - 2*b + 411 = u. Is f a prime number?", "a": "False" }, { "q": "Suppose -2*v = -3*r - 8146, -8*v = -5*r - 4*v - 13576. Let k = -827 - r. Is k a prime number?", "a": "True" }, { "q": "Let t(k) = -346*k - 229. Is t(-41) a composite number?", "a": "True" }, { "q": "Suppose -220*v = -3*m - 219*v + 562142, m - v - 187384 = 0. Is m a composite number?", "a": "False" }, { "q": "Suppose 3*c - g = 108757, 108741 = 3*c + 371*g - 368*g. Is c composite?", "a": "False" }, { "q": "Suppose 17*z - 23*z = 0. Suppose z = 6*i - i - 25655. Is i a composite number?", "a": "True" }, { "q": "Let n = -22 + 25. Suppose -4*u + 2*f - 30 = -126, 2*f = 2*u - 52. Suppose n*b - 317 = u. Is b a composite number?", "a": "False" }, { "q": "Let r = -44 + 58. Suppose -i = -2*i - 4*s + r, -5*i + s = -7. Suppose -430 = -i*h - 2*y, -h + y + y + 203 = 0. Is h a prime number?", "a": "True" }, { "q": "Let t be 4/(-2)*3/(18/(-615)). Suppose 0 = -2*x - 2*b + 230, t = -5*x - 2*b + 789. Let n = x + -83. Is n a composite number?", "a": "True" }, { "q": "Suppose 60*k - 58*k - 4 = 0. Suppose b + 2 - 7 = 0. Suppose 5*i = -3*t + 2134, k*t = b*t + 4*i - 2129. Is t prime?", "a": "False" }, { "q": "Suppose -2*s - 244706 = -4*o, -31*o = -29*o - 5*s - 122333. Is o composite?", "a": "True" }, { "q": "Suppose -m + 37529 = 72*a - 71*a, 2*a = -4*m + 150116. Is m composite?", "a": "False" }, { "q": "Is ((-2)/(-5))/((-130)/(-13754975)) a prime number?", "a": "True" }, { "q": "Suppose 6*a - 10 = 8. Suppose p - 2*p + a = 0. Suppose 0 = -u - p*f + 646, 4*u + 3*f - 2979 = -440. Is u a composite number?", "a": "False" }, { "q": "Let u(k) = k**3 + k**2 + 1. Let n(w) = 3*w**3 + 15*w**2 - 21*w + 9. Let s(a) = -n(a) + 2*u(a). Let j be s(-15). Let q = -1 + j. Is q composite?", "a": "False" }, { "q": "Is (-11 + -201174)/(20/(-8)) a composite number?", "a": "True" }, { "q": "Let o = -183 - -188. Suppose 2*m + 706 = 3*m - o*p, 0 = -3*m - 3*p + 2064. Is m composite?", "a": "False" }, { "q": "Let t(h) be the third derivative of 0*h + 1/24*h**6 - 1/6*h**3 + 0 + 8*h**2 + 1/15*h**5 + 1/4*h**4. Is t(4) prime?", "a": "False" }, { "q": "Let o = -308469 - -550888. Is o prime?", "a": "True" }, { "q": "Is 2 + (-51)/18 + 8121978/324 a prime number?", "a": "False" }, { "q": "Let u = 734 - 113. Let l = u - -150. Is l composite?", "a": "True" }, { "q": "Suppose 2*d + 4*y = -64, 0 = 5*d + 2*y - 5*y + 95. Let j = -24 - d. Is 918 - ((-7)/(-21))/(j/6) a prime number?", "a": "True" }, { "q": "Let a(k) = -k + 1. Let i(d) = -68*d - 68. Let z(p) = -3*a(p) - i(p). Is z(6) prime?", "a": "True" }, { "q": "Let p(m) = -474*m - 37. Suppose 75*s = 73*s - 16. Is p(s) a composite number?", "a": "True" }, { "q": "Suppose -3*w + 2*z = -7616, -2*w = 2*z + 2*z - 5088. Let p = 5683 - w. Is p composite?", "a": "True" }, { "q": "Let b(x) = x**3 - 15*x**2 + 17*x + 16. Let l = -177 - -196. Is b(l) prime?", "a": "True" }, { "q": "Let g = 200 + -202. Is g/12 + 307062/108 a prime number?", "a": "True" }, { "q": "Suppose -2*u + 26064 = 3*w - 2*w, -3*w = 5*u - 65159. Is u a prime number?", "a": "True" }, { "q": "Let j be 121239/18 + 0 + 1/2. Let t = j - -2321. Is t composite?", "a": "True" }, { "q": "Let t(d) = 130*d**2 + 9*d + 181. Is t(-14) a composite number?", "a": "True" }, { "q": "Let y(c) = -c**2 - 19*c - 14. Let g be y(-18). Suppose d - g*d + 21957 = 0. Is d a prime number?", "a": "False" }, { "q": "Let m be (396/30 - 5)/(1/5). Suppose -48*w = -m*w - 14686. Is w prime?", "a": "False" }, { "q": "Let n(y) = 134*y**3 - 7*y**2 + 52*y - 7. Is n(12) a prime number?", "a": "False" }, { "q": "Let l = 30486 - 20471. Is l a prime number?", "a": "False" }, { "q": "Suppose -7*t + 2*t = 2*p - 45, t - 27 = -p. Let i = -63 + p. Is (-11)/i*(2392 - 1) a prime number?", "a": "True" }, { "q": "Suppose 29*b + 12 = 27*b. Let w = -412 + b. Let o = -99 - w. Is o prime?", "a": "False" }, { "q": "Let d(f) = -f**3 - 6*f**2 + 6*f. Let s be d(-7). Let x be s/(-49) - 8794/(-14). Suppose -5*b = 3*j + j - 3285, -b + 5*j = -x. Is b a composite number?", "a": "False" }, { "q": "Let b(t) be the first derivative of t**6/120 - t**5/60 + t**4/24 + 445*t**3/6 - 11*t**2/2 + 8. Let x(j) be the second derivative of b(j). Is x(0) composite?", "a": "True" }, { "q": "Let i(w) = 2297*w - 362. Is i(23) prime?", "a": "False" }, { "q": "Suppose 0 = -3*p - 3*x - 70614, -4*p = x + 17336 + 76825. Is (-5 + p/(-12))/((-6)/(-8)) a composite number?", "a": "False" }, { "q": "Let u(x) = -33*x - 13. Let k(t) = t**2 - 14*t + 26. Let l be k(11). Let n be u(l). Suppose -g - 2*h = g - n, -436 = -4*g - 2*h. Is g composite?", "a": "False" }, { "q": "Let t(l) = l**3 - 2*l**2 + 5*l - 2. Let m be t(3). Suppose -x - 3 + m = 0. Let b = x - 0. Is b a composite number?", "a": "False" }, { "q": "Let x(a) = -10*a**3 - 9*a**2 + 9*a - 11. Let s be x(8). Let r = 1605 + s. Is (-9)/12 - 4/(32/r) composite?", "a": "False" }, { "q": "Suppose -4*v + 10977 = -943. Let n = -2109 + v. Is n composite?", "a": "True" }, { "q": "Let w(f) = -f**2 + 5*f. Let g be w(4). Suppose 4*s - 1 = 5*b + 29, 23 = -g*b + 3*s. Is (b/(-4) - (-49)/(-14)) + 56 composite?", "a": "False" }, { "q": "Is (160998/(-12))/((4 + -9)/10) a composite number?", "a": "False" }, { "q": "Let c = 21682 - 12783. Is c a composite number?", "a": "True" }, { "q": "Let m = 7237 - -35620. Is m a composite number?", "a": "True" }, { "q": "Suppose -39 = 3*z - 36. Is -1 + z - (-2 - 4 - 11461) a prime number?", "a": "False" }, { "q": "Let h(b) = -11*b**3 - 11*b**2 - 4*b + 5. Let j be h(-7). Let g = 4260 - 6272. Let f = g + j. Is f a prime number?", "a": "False" }, { "q": "Let s(c) = -8*c**2 - 41 + 2*c**3 - c + 41. Let i be s(9). Suppose 4*d - 7*d = -i. Is d a prime number?", "a": "False" }, { "q": "Suppose -2*t - 47*m + 240704 = -45*m, 481413 = 4*t - m. Is t prime?", "a": "False" }, { "q": "Let d(n) = -85*n**2 - 10*n - 22. Let f(o) = 169*o**2 + 21*o + 45. Let g(t) = -7*d(t) - 3*f(t). Is g(-4) a composite number?", "a": "False" }, { "q": "Let l(r) = -r**3 + 6*r**2 + 2*r + 4. Let w be -2*((-15)/2 + 0/8). Suppose 5*c + 30 = -w. Is l(c) composite?", "a": "False" }, { "q": "Let r(q) = 24732*q**2 - 15*q + 16. Is r(1) a prime number?", "a": "True" }, { "q": "Let c(k) = 573*k**2 - 14*k + 41. Is c(8) a composite number?", "a": "True" }, { "q": "Let r(v) = 198*v + 11. Let z = -6 - -13. Is r(z) composite?", "a": "True" }, { "q": "Suppose 0 = -6*g - 2198 - 1210. Let w be (6/(-18))/(2/g)*3. Suppose -m - 5*p + w = 0, 0 = -m - 3*m - 4*p + 1056. Is m a prime number?", "a": "False" }, { "q": "Suppose 3*w = 2*w + 2*k + 28, -5*k + 5 = 0. Let t = w - 26. Suppose 1625 = 3*v - 4*m, -6*m = t*v - 2*m - 2120. Is v composite?", "a": "True" }, { "q": "Let o(c) = -201*c - 20 - 22 + 59*c + 3. Is o(-8) composite?", "a": "False" }, { "q": "Suppose -4*t = t + 5. Is (-1 - t - -2)*769185/90 a prime number?", "a": "True" }, { "q": "Let l(p) = p**3 + 13*p**2 - 14*p + 3. Let a be l(-14). Suppose 4*w - a = 13. Is ((-111)/(-12))/(0 + 1/w) composite?", "a": "False" }, { "q": "Suppose 0 = 75*o - 7383545 + 6090349 - 16882379. Is o composite?", "a": "True" }, { "q": "Let s(q) = 61*q. Suppose -4 + 4 = -5*y. Suppose 2*k - 2 = y, 3*a - 5*k = 8 + 20. Is s(a) a prime number?", "a": "False" }, { "q": "Let t(y) = -27 - 975*y**2 - 3*y**3 - 45*y + 944*y**2 + 2*y**3. Is t(-32) composite?", "a": "False" }, { "q": "Let v be (0/(-3))/((-1)/((-4)/8)). Suppose -8*x + 19 + 13 = v. Suppose -x*s = -5*s + 407. Is s a composite number?", "a": "True" }, { "q": "Let j be 19365/(-4) - -1 - 53/(-212). Let a = -2169 - j. Is a a composite number?", "a": "False" }, { "q": "Let o(z) = 19009*z + 873. Is o(4) composite?", "a": "True" }, { "q": "Let y = 6840 - -4121. Is y a prime number?", "a": "False" }, { "q": "Let d(r) be the first derivative of -r**4/2 + 3*r**3 - 18*r**2 - 19*r + 58. Is d(-14) composite?", "a": "True" }, { "q": "Suppose 3042053 - 793265 = 12*k. Is k a prime number?", "a": "False" }, { "q": "Suppose -135445 = -32*r - 30*r + 57*r. Is r a composite number?", "a": "True" }, { "q": "Suppose s = -5*f - 205, -5*f = -0*f - 3*s + 225. Let z = -30 - f. Is 1899/z*80/12 a prime number?", "a": "False" }, { "q": "Suppose 18*z - 21*z - 12119 = -2*g, -g + 6082 = 3*z. Is g prime?", "a": "True" }, { "q": "Suppose 28*b + 153695 = 33*b. Suppose -15*f + 21626 = -b. Is f composite?", "a": "False" }, { "q": "Suppose 5*y = -10*y + 480. Is (-2671)/(-2)*y/16 a composite number?", "a": "False" }, { "q": "Let s(k) = 77*k**2 + 4*k + 11. Let z be ((-10)/6)/(90/(-324)). Is s(z) composite?", "a": "True" }, { "q": "Let c(a) = -1113*a - 2. Let q be (0/2)/(0 + -2). Suppose 2*v - 5*h = -q*v + 18, -2*h = -5*v + 3. Is c(v) composite?", "a": "True" }, { "q": "Let r = -41 - -44. Suppose -21 = -4*h + 4*k - r*k, -5*k + 3 = -2*h. Suppose -516 = -6*u + h. Is u a prime number?", "a": "False" }, { "q": "Suppose 213*r + 154642 = 236*r - 40375. Is r prime?", "a": "False" }, { "q": "Let c(m) = 60*m**3 + 4*m**2 + 8*m - 17. Let r(g) = -120*g**3 - 9*g**2 - 16*g + 35. Let i(n) = 7*c(n) + 3*r(n). Is i(3) a prime number?", "a": "False" }, { "q": "Let l(v) = -v**3 + 11*v**2 + 27*v - 8. Let p be l(13). Suppose 119 = p*f - 51. Is f a prime number?", "a": "False" }, { "q": "Is 106185/15 + (-30)/3 a composite number?", "a": "False" }, { "q": "Suppose 3*m - m - 24*m = -1759010. Is m a prime number?", "a": "False" }, { "q": "Let c(u) = -u**3 + 62*u**2 + 107*u + 97. Is c(48) a composite number?", "a": "False" }, { "q": "Let u(y) = 3*y + 13. Let q be u(-3). Suppose g - q*m = -7*m - 4, -5*g - 5*m = 0. Suppose 3161 = 5*a + 4*w, 2*a + g*w - 1262 = w. Is a prime?", "a": "False" }, { "q": "Suppose c - w = 1692, 7*w - 3*w + 1689 = c. Is c composite?", "a": "False" }, { "q": "Let y be (1/3)/((-7)/(-63)). Suppose -y*t - 3*p + 8775 = 0, 5*p - 23 + 3 = 0. Is t composite?", "a": "True" }, { "q": "Let n(c) = -c**2 - 7*c + 48. Let u be n(-11). Suppose -u*t - 462 + 4758 = 5*j, 3*t - 3221 = -4*j. Is t prime?", "a": "False" }, { "q": "Let o(q) = -q**3 + 7*q**2 + 2*q - 10. Let z be o(7). Suppose 3188 = z*t - 0*i + 2*i, -5*i - 2391 = -3*t. Is t a prime number?", "a": "True" }, { "q": "Suppose 0 = 2*g - 4*l + 16, -6*g - 4 = -2*g - l. Suppose g = -5*q + 27 - 17. Suppose 4*m + q*m - 2382 = 0. Is m a composite number?", "a": "False" }, { "q": "Suppose 4*r + 4409 = 14845. Suppose -7*h + 8*h = r. Is h composite?", "a": "False" }, { "q": "Let u(t) = -578*t**3 - 12*t**2 + 2*t + 41. Is u(-6) a composite number?", "a": "True" }, { "q": "Suppose 3*o + 18 - 12 = 0, -3*n = -5*o - 117889. Is n a composite number?", "a": "False" }, { "q": "Let g be 10/((-2 - 3)*(-6)/15). Let v(h) = 754*h - 61. Is v(g) composite?", "a": "False" }, { "q": "Suppose -44*u - 20*u - 635172 + 2824676 = 0. Is u composite?", "a": "False" }, { "q": "Suppose -11*l = 6*l - 136. Suppose 15*c = l*c + 20657. Is c composite?", "a": "True" }, { "q": "Is ((-4)/6)/(-5 - 986427/(-197289)) a composite number?", "a": "False" }, { "q": "Let d = 2879 + -1458. Let h = d - 748. Is h a composite number?", "a": "False" }, { "q": "Suppose -r + 60 = 52. Let i = 17 + 31. Is 3657/r - 6/i a composite number?", "a": "False" }, { "q": "Let q be ((-30)/4)/(-3)*6/5. Suppose 0 = -q*j - 3150 + 10887. Is j a composite number?", "a": "False" }, { "q": "Suppose -21*t + 3*t = -3220481 + 109559. Is t a prime number?", "a": "True" }, { "q": "Suppose 0 = -x + 8*i - 6*i + 8279, -3*x + 24877 = 4*i. Is x prime?", "a": "True" }, { "q": "Let w be (6/(-20)*2)/(3/(-15)). Suppose 4*h - w*b + 3 = 20, 5*b - 30 = -5*h. Suppose -f = h, -4*q - 3*f + f + 2770 = 0. Is q composite?", "a": "True" }, { "q": "Suppose 145 + 110 = -5*l. Is 0/(4 + -3) - -2 - l a prime number?", "a": "True" }, { "q": "Let g(x) = 1039*x + 2. Suppose 0*y - 51 = -17*y. Is g(y) a prime number?", "a": "True" }, { "q": "Let c = 40 + -87. Let b = -45 - c. Suppose b*a = 18 + 4. Is a prime?", "a": "True" }, { "q": "Let o = -1 + 27. Let j be -1 - o/(-22) - 288/132. Is (-9144)/(-56) - 2/(-14)*j a composite number?", "a": "False" }, { "q": "Suppose -4*z = -3 - 1. Suppose -p - 11 = z. Is p/(-8)*(-472)/(-12) a composite number?", "a": "False" }, { "q": "Suppose 2*b + 20 = 26, 4*b - 126406 = -2*o. Is o composite?", "a": "False" }, { "q": "Suppose 3*u = 3*t - 30777, 124*t + u - 20518 = 122*t. Is t a composite number?", "a": "False" }, { "q": "Let u = 730 - -569. Suppose 0 = 2*d + 3*r - 8*r - 3303, 3*d = -5*r + 5017. Let q = d + u. Is q composite?", "a": "False" }, { "q": "Suppose -5*u - 23 = -4*f + 5*f, 29 = 2*f - 5*u. Suppose -2*n = f*n - 20. Suppose 67 = b - n*k, -5*b + k = -0*k - 383. Is b prime?", "a": "False" }, { "q": "Suppose 5*i - 2*h + 202 = 0, -133 - 39 = 4*i + h. Let v(p) = 4*p - 3. Let r be v(-5). Let d = r - i. Is d a prime number?", "a": "True" }, { "q": "Let a = -296364 + 466993. Is a a composite number?", "a": "True" }, { "q": "Let w be (-30)/8 - (-4)/(-16). Let u be ((-606)/(-4))/(3/w). Let j = u - -509. Is j a prime number?", "a": "True" }, { "q": "Suppose -1069*u + 1071*u = 842. Let x be (-2 + 1)/((-3)/12). Suppose -u = -x*c + 511. Is c composite?", "a": "False" }, { "q": "Let m(s) = -81*s - 4. Let a be m(-2). Let u = a - -470. Suppose -42 = -2*c + u. Is c a composite number?", "a": "True" }, { "q": "Is 1*(-9294)/((-14)/((-7)/(-1))) prime?", "a": "False" }, { "q": "Let x(n) = -2423*n + 507. Is x(-10) a prime number?", "a": "False" }, { "q": "Let n(o) = -o**3 - 5*o**2 - 4*o + 4. Let g be n(-4). Let c(v) = -13 - 13 + 0 - g*v - 67*v. Is c(-15) a prime number?", "a": "True" }, { "q": "Is -2 + (-86007)/(-15) - (-48)/(-60) prime?", "a": "False" }, { "q": "Let p(l) = -l**2 - 6*l + 4. Let v be p(-6). Suppose -3*y + 22190 = v*y. Suppose 3*n - 5*n = -y. Is n prime?", "a": "False" }, { "q": "Suppose 0 = 25*i - 3*i - 44. Suppose -i*k - 4*h + 3058 = 0, -k = -3*h - 333 - 1216. Is k composite?", "a": "True" }, { "q": "Let w(r) be the first derivative of 148*r**3/3 + 6*r**2 + 23*r + 73. Is w(-3) composite?", "a": "False" }, { "q": "Let h = -102 + -1093. Let m = -756 - h. Is m composite?", "a": "False" }, { "q": "Let u be 4/(-6) - (-88)/33. Suppose 1 + u = 3*v, -4*v + 1869 = 5*i. Is i a prime number?", "a": "True" }, { "q": "Let r be (-530)/(-6)*1/2*438. Suppose 5*l = 4*p - r, -3*p + 14500 = 5*l - 0*l. Is p a composite number?", "a": "True" }, { "q": "Let c = -153 + 158. Suppose 0 = -4*q + 4*t + 23524, -4*q - c*t = 306 - 23812. Is q prime?", "a": "True" }, { "q": "Is (-119)/2499 + (-6848)/(-42) composite?", "a": "False" }, { "q": "Let k(a) = -11976*a - 325. Is k(-3) a prime number?", "a": "True" }, { "q": "Let f be -1 - (4 + 36/(-8))*-2. Is (-12)/3*(-14636)/(-32)*f a composite number?", "a": "False" }, { "q": "Suppose 5*x = 4*g - 27, 2 + 10 = -4*x. Suppose g*c - d = 6*c - 14956, -5*c = 5*d - 24910. Is c prime?", "a": "True" }, { "q": "Let d be (-19 - (-4 + 2))/(-1). Suppose -29*q + d*q = -39324. Is q composite?", "a": "True" }, { "q": "Let g be (8/(-2))/(5/(-10)). Let f be (4/g)/((-1)/(-4)). Suppose 3404 = 2*j + f*j + p, 0 = -4*p. Is j prime?", "a": "False" }, { "q": "Let p(b) = b**2 + 371. Let o(n) = -2*n - 14. Let q be o(9). Let g = -32 - q. Is p(g) a composite number?", "a": "True" }, { "q": "Let w be (-39)/(-15) + 0 + 24/60. Let t(o) = o**3 - o - 1. Let j be t(2). Suppose -5*k - 1450 = -j*h, -k + 0*k + w = 0. Is h a prime number?", "a": "True" }, { "q": "Let i be 2*2/(-4) - -133. Let q = 247 + -247. Suppose k - i + 13 = q. Is k composite?", "a": "True" }, { "q": "Suppose -106*h + 95*h = -733513. Is h a composite number?", "a": "False" }, { "q": "Let l = 17360 + 77969. Is l a composite number?", "a": "True" }, { "q": "Let k(r) = -4*r - 30. Let i(n) = -2*n - 15. Let u(t) = 13*i(t) - 6*k(t). Let f be u(-5). Let p(v) = -338*v - 17. Is p(f) a composite number?", "a": "True" }, { "q": "Let j(s) = -s - 3. Let p be j(-6). Suppose -10*f + 900 = 8*f. Let k = p + f. Is k a prime number?", "a": "True" }, { "q": "Let o = 93850 - 14712. Is o a composite number?", "a": "True" }, { "q": "Suppose 3*y = -13*y - 16. Let h(j) be the second derivative of -125*j**3 + 5*j**2/2 + j. Is h(y) a composite number?", "a": "True" }, { "q": "Suppose -4*a + 22 - 2 = 0. Suppose -5*s - 427 = -a*o - 4862, 0 = -s - 3*o + 895. Is s a prime number?", "a": "False" }, { "q": "Suppose 120 = -b + 3*x, x + 4*x - 473 = 4*b. Suppose -6*q + 10*q + 160 = 0. Let s = q - b. Is s prime?", "a": "False" }, { "q": "Suppose 0 = 2*g - 2*f - 92888, 0 = f - 2*f - 5. Is g prime?", "a": "True" }, { "q": "Suppose 7*s - 687073 = 29916. Is s prime?", "a": "False" }, { "q": "Let k(t) = -t**3 + 21*t**2 + 20*t - 33. Let n be k(21). Suppose a - 233 = d - 37, 0 = -2*a + 3*d + n. Is a prime?", "a": "False" }, { "q": "Let z = 13 - 11. Suppose 3*b + z = 8. Suppose 0*s + 2*y + 76 = b*s, 3*y - 150 = -5*s. Is s a prime number?", "a": "False" }, { "q": "Let i = 2124 - 266. Suppose -14367 = -5*f + i. Suppose -v = -6*v + f. Is v composite?", "a": "True" }, { "q": "Let x(y) = 17*y**2 + y - 95*y**3 + 6*y**3 - 2*y + 1 - 16*y**2. Let b be x(-3). Suppose -b = -5*q + 499. Is q a prime number?", "a": "False" }, { "q": "Suppose -6 = -35*n + 34*n. Suppose 3 = 3*f - n, -5*f = 4*s - 5479. Is s prime?", "a": "False" }, { "q": "Suppose -j = -4*q - 6, 2*q - 22 = 3*j - 5*j. Suppose -j*d + 2979 + 12631 = 0. Is d a composite number?", "a": "True" }, { "q": "Let u(f) = -50*f - 15. Let s(t) = 30*t**2 - t + 2. Let g be s(1). Suppose -4*h - k + 2*k - g = 0, 3*k - 2 = -h. Is u(h) composite?", "a": "True" }, { "q": "Suppose -2*l = -3*k - 250979, 92087 = -3*l + 2*k + 468568. Is l composite?", "a": "False" }, { "q": "Let c(m) = -1212*m**3 + m**2 - m - 1. Suppose 8 = 2*j + 4*t, 4*j - 10 = -3*t - 2*t. Let i(l) = -l**3 + 2*l - 1. Let a be i(j). Is c(a) prime?", "a": "True" }, { "q": "Let p(v) = 4*v**2 - v + 1. Let f be p(1). Let d(n) = -15*n + 95. Let g be d(6). Suppose 4*z + 3 = -g, f*b - 3*z = 5146. Is b composite?", "a": "True" }, { "q": "Let v = -15 + 18. Suppose -6 = -v*x, -x = -3*q + 158 - 16. Suppose 3*b - 351 = -2*n, -2*b + 283 = n + q. Is b a composite number?", "a": "True" }, { "q": "Suppose 19825 = 4*k - 2703. Suppose -11*c + k = -12309. Is c a prime number?", "a": "False" }, { "q": "Suppose 3*k + 56158 + 37283 = 5*f, 0 = -5*k - 10. Is f a composite number?", "a": "True" }, { "q": "Suppose 0 = -2*s - 5*h - 14007, 5*s + 4*h + 35009 = -0*h. Is (-8)/12 - s/3 composite?", "a": "False" }, { "q": "Suppose 58952 = 2*o - 0*o. Suppose 51*w = 47*w + o. Is w a composite number?", "a": "False" }, { "q": "Suppose -4*p + 4*x + 16 = 0, -x - 2*x = -4*p + 18. Let z be 5/(4 + p/(-4)). Suppose -3*a = -z*b - 163 + 1388, 0 = -4*b - 5*a + 2461. Is b prime?", "a": "False" }, { "q": "Let v(y) be the third derivative of y**6/120 + 7*y**5/60 + 7*y**4/24 + y**3 + 18*y**2. Let k be v(-6). Suppose k = -4*n + 275 + 2073. Is n composite?", "a": "False" }, { "q": "Let o(y) = 4*y + 13. Let j be o(2). Let w(n) = 9*n**2 + 29*n - 31. Is w(j) a prime number?", "a": "True" }, { "q": "Let d be (-48498)/(-27) + 3/54*-4. Is (7 - 0)*d/(6 + -2) a prime number?", "a": "False" }, { "q": "Let m = -182 + 218. Is (-6465)/(-9) + 24/m a composite number?", "a": "False" }, { "q": "Suppose 303836 + 71704 = 8*a + 2044. Is a composite?", "a": "False" }, { "q": "Let s = -44687 - -179160. Is s a composite number?", "a": "True" }, { "q": "Let q(y) = -y**2 + 6*y + 2. Let d be q(6). Suppose d*j = 6*l - l - 400, -5*j = -l + 103. Let z = l - -229. Is z a prime number?", "a": "True" }, { "q": "Let m = -10 + 12. Suppose -31 = -3*x - 4*t, -t - 26 = -m*x - 5*t. Suppose -x*c - 114 + 1649 = 0. Is c prime?", "a": "True" }, { "q": "Suppose 5*l - 15 = 0, -263223 = -4*q - 5*l - 19676. Is q a composite number?", "a": "True" }, { "q": "Suppose -k - 5*v + 13408 = 0, -4*v = -2*k + v + 26891. Suppose 4*p - k = -15*p. Is p prime?", "a": "False" }, { "q": "Let l(y) = -499*y - 617. Is l(-12) a prime number?", "a": "False" }, { "q": "Let b be (1 + 5)*(-2 - 0). Let g be b/(-48) + (-201)/4. Let q = -19 - g. Is q a composite number?", "a": "False" }, { "q": "Let o(x) = 29321*x**2 + 128*x + 253. Is o(-2) composite?", "a": "False" }, { "q": "Let m(o) = 921*o**2 - 10*o + 103. Is m(6) a prime number?", "a": "True" }, { "q": "Let q = 63412 + -36465. Is q composite?", "a": "False" }, { "q": "Let x(p) be the first derivative of -28*p**4 + p**3/3 - p**2 - 2*p + 1. Let s be 4/(-14)*(-161)/92*-2. Is x(s) a prime number?", "a": "True" }, { "q": "Suppose -9*x = -x + 8. Is (16914/30*x)/((-2)/10) prime?", "a": "True" }, { "q": "Suppose j + j + 6 = 0. Let g be 10/20*-6 - 1775. Is g/4*-2 - (j - -3) a prime number?", "a": "False" }, { "q": "Let n be -1*3 - (19 + -9). Is 2/n + -3 + (-194800)/(-52) composite?", "a": "True" }, { "q": "Let b(g) = g**2 + 10*g - 7. Let h be b(-11). Let y(t) = 3*t - h*t + 24*t**3 - 65*t**2 + 63*t**2 + 4. Is y(3) prime?", "a": "True" }, { "q": "Suppose -3 = -j - 3. Suppose 5*k - 15658 = -j*k - 4*i, 3*k = 3*i + 9411. Is k prime?", "a": "False" }, { "q": "Suppose 3*w - 24 = -0*w. Suppose 0 = 3*y + v - 2762, -4*y - 3*v + w*v = -3689. Is y a prime number?", "a": "False" }, { "q": "Let x = 3 - 6. Let j be 4/(1 - x) + 103. Suppose j + 174 = 2*c. Is c composite?", "a": "False" }, { "q": "Suppose 1133261 + 145785 = -15*f + 49*f. Is f a prime number?", "a": "True" }, { "q": "Let t = -40 - -42. Suppose h = -t*h. Suppose -337 = -0*s - 5*s - 2*i, h = -3*s + 3*i + 219. Is s composite?", "a": "True" }, { "q": "Suppose -107*h + 3269994 = -1216195. Is h prime?", "a": "True" }, { "q": "Suppose -9*v + 21*v = 162648. Suppose 0 = 7*d + 11*d - v. Is d prime?", "a": "False" }, { "q": "Suppose -2*g + 4*k + 26 = 0, k = -5*g + 27 - 6. Suppose 8*r = g*r + 11379. Is r a composite number?", "a": "False" }, { "q": "Let q be (-7 - -1) + (15 - 9). Suppose b - 11*b + 2950 = q. Is b a prime number?", "a": "False" }, { "q": "Let d(w) = w**3 - w**2 + 4*w + 6. Let y be d(-3). Let c = y + 46. Suppose -3*i = -2*t - 1179, c*t - 407 = i - 2*i. Is i composite?", "a": "True" }, { "q": "Suppose -14*r + 4 = -13*r. Suppose 12715 = r*c + 2399. Is c a prime number?", "a": "True" }, { "q": "Let z(q) = 2553*q**3 - 4*q**2 + 2*q + 1. Is z(2) composite?", "a": "True" }, { "q": "Suppose -o - 6170 + 48484 = -142163. Is o a prime number?", "a": "True" }, { "q": "Let f(v) = 7*v - 52. Let y be f(7). Let i(g) = 4*g**2 - 4*g + 7. Is i(y) a prime number?", "a": "False" }, { "q": "Is ((-602)/(-344)*(-3)/(-7))/(3/58364) prime?", "a": "True" }, { "q": "Let p(x) = 2*x - 10. Let b be p(9). Let c be (-1014)/b*(-1 + (-10 - 1)). Let y = -1032 + c. Is y a prime number?", "a": "False" }, { "q": "Let q(y) = 214*y + 10. Let k = 28 - 35. Let b(s) = -107*s - 5. Let a(t) = k*b(t) - 3*q(t). Is a(6) composite?", "a": "False" }, { "q": "Let t = -2656 - -2921. Suppose 8*r - 20 = 3*r. Suppose -m - r*m = -t. Is m composite?", "a": "False" }, { "q": "Let o(i) = 173*i**3 + 7*i**2 + 17*i + 8. Is o(5) prime?", "a": "True" }, { "q": "Let j(v) = -19*v**3 - 4*v**2 + 2*v + 19. Suppose -r + 5*l = -3*r - 28, 16 = -4*l. Is j(r) a prime number?", "a": "True" }, { "q": "Let s = 440 - 1263. Let k = 30 - s. Is k composite?", "a": "False" }, { "q": "Let i(r) = r**2 - 420*r**3 + 0*r + 3*r - 2*r**2 - 3 - 6*r. Suppose -v = -4*y + v - 2, -1 = v. Is i(y) prime?", "a": "True" }, { "q": "Let u be 1 - (0 + (-2 - 1)). Suppose 0 = u*g - 10873 - 3355. Is g composite?", "a": "False" }, { "q": "Suppose -4*g - 99 = -7*g. Suppose 3*z + 21 + g = 0. Let o(u) = u**2 - 10*u + 13. Is o(z) prime?", "a": "False" }, { "q": "Let b(c) = c**3 + 11*c**2 + 8*c + 2. Let s be b(-10). Let y = 27 - s. Suppose y*o = 4*x + 429, o - 75 = -x + 18. Is o a composite number?", "a": "False" }, { "q": "Suppose -214*t + 397*t = 206*t - 1279191. Is t a prime number?", "a": "False" }, { "q": "Let o(u) = 3259*u - 38. Let p be o(3). Let m = 272 - -6304. Let s = p - m. Is s a composite number?", "a": "False" }, { "q": "Suppose -3*a - 5*m + 2328 = a, a = m + 582. Let i = -40 + a. Is i a prime number?", "a": "False" }, { "q": "Is (1 - 49683/6)/(10/(-20)) composite?", "a": "True" }, { "q": "Let m(b) = -680*b - 695. Is m(-35) a composite number?", "a": "True" }, { "q": "Let p(y) be the second derivative of -37*y**3/6 + y**2 - 3*y. Let v be p(-8). Let j = -107 + v. Is j a prime number?", "a": "True" }, { "q": "Let i(b) = 1635*b**2 - 31*b + 125. Is i(4) prime?", "a": "True" }, { "q": "Let w(v) = v**3 - 8*v**2 - 9*v + 14. Let n be w(9). Suppose 5*u - 22459 = -n. Is u a composite number?", "a": "True" }, { "q": "Let n(r) = r**3 - 3*r**2 + 3*r - 5. Let v be n(3). Let i(b) = -3*b + 11. Let l be i(v). Is 2/10 - (12128/10)/l a composite number?", "a": "False" }, { "q": "Let m be (-10)/5 + 1167*2. Suppose r + 3*r - m = -4*p, 4*p + 12 = 0. Is r composite?", "a": "True" }, { "q": "Let h = 24 + -21. Let l(f) = f**2 - 4*f + 5. Let n be l(4). Suppose 0 = 2*z + n*q - 2 - 13, -2*z + h*q = -23. Is z a prime number?", "a": "False" }, { "q": "Suppose 39*v = -2*v + v + 5264440. Is v prime?", "a": "True" }, { "q": "Let i = -200 - -202. Suppose 2*k + 5*j = 6454 + 503, -i*k = j - 6977. Is k prime?", "a": "True" }, { "q": "Let q = 8 + 10. Let a = 30 - q. Let b(c) = c**3 - 10*c**2 + 8*c - 5. Is b(a) prime?", "a": "True" }, { "q": "Suppose 57 = -2*a - a. Let n = a - -19. Is 127*(-4 - n)/(-4) a prime number?", "a": "True" }, { "q": "Suppose -130 = -5*f - 150. Is 5981/((0 + 1)*(-4)/f) a prime number?", "a": "True" }, { "q": "Suppose 0 = 2*u - 4*l + 20, 2*l = -u + 5*l - 15. Suppose -h + 2*j + 6 = u, 0 = 4*h + 3*j + 16 - 7. Suppose h = -6*t + 604 + 902. Is t prime?", "a": "True" }, { "q": "Suppose 286*a = 272*a + 950726. Is a a prime number?", "a": "False" }, { "q": "Suppose -126 = 5*v - 11. Let a = v + 28. Suppose -4*y + 2439 + 2587 = -t, 3*t = -a*y + 6291. Is y composite?", "a": "True" }, { "q": "Suppose -4*a + 12 = -7*a, -a = -3*k + 49. Suppose 5*x - 2*x + k = 0. Is (x/30*-20)/(4/1146) composite?", "a": "True" }, { "q": "Let f = -90475 - -231534. Is f a composite number?", "a": "True" }, { "q": "Suppose 5 = -6*p + 77. Suppose 2*h = 5*u - p, -2*u - 28 = -5*h - 4*u. Suppose h*c = -c + 410. Is c a prime number?", "a": "False" }, { "q": "Suppose 2*l = -24 + 28. Suppose 0 = l*f - 5*i - 317 + 26, 2*i = -5*f + 742. Suppose -4*g - 3*r + 204 = -f, 4 = r. Is g composite?", "a": "True" }, { "q": "Let d(t) = 4*t + 22. Let m be d(-5). Suppose 7*q - m*q = 19465. Is q a prime number?", "a": "False" }, { "q": "Let b(r) = -15*r**3 - 21*r**2 + 19*r + 8. Is b(-21) prime?", "a": "True" }, { "q": "Let u(p) = p**2 + 15*p + 25. Let j be u(-12). Is 5758/(-4)*(j - (1 + 2)) a composite number?", "a": "True" }, { "q": "Let w = 30 + -8. Let j be ((-2)/(-4) + 1)*w/33. Is j/(1*(-2)/(-974)) prime?", "a": "True" }, { "q": "Let k = 12602 - 5939. Is k prime?", "a": "False" }, { "q": "Suppose -8 = s - 3*a, 0 = 2*s - 3*a - a + 10. Suppose -3*y = 25 - s. Is (-1424)/y*1*(-3)/(-2) composite?", "a": "True" }, { "q": "Let y(s) = 4*s**3 + 3*s**2 - 71*s + 17. Is y(30) a composite number?", "a": "False" }, { "q": "Let o = 45282 - -6475. Is o prime?", "a": "False" }, { "q": "Let c(o) = 1031*o + 817. Is c(42) a composite number?", "a": "False" }, { "q": "Suppose 12*z = 789893 + 2053015. Is z composite?", "a": "False" }, { "q": "Let p be (14/(-18) - (-16)/(-72)) + 52. Is (p/153)/(1 + (-4196)/4197) a composite number?", "a": "False" }, { "q": "Let y = -68 + 68. Suppose 2*s + 5048 = 2*i, -3*i - s + 3*s + 7569 = y. Is i a composite number?", "a": "False" }, { "q": "Let x(d) = -d + 1. Let w(o) = -2*o + 5. Let g(i) = w(i) - 3*x(i). Let f be g(3). Suppose 3*r = f*j + 222 - 3374, -5*r + 5 = 0. Is j a prime number?", "a": "True" }, { "q": "Let r = 103701 + -16300. Is r a composite number?", "a": "True" }, { "q": "Let y(t) = -154*t + 1. Let d be (-1 - (-19)/7)/(3/21). Let g be d/2*4/(-12). Is y(g) a composite number?", "a": "True" }, { "q": "Let j be -1 + 0/((-3)/(-1)). Let c be (56670/(-25))/(j/5). Suppose 8*i = 14*i - c. Is i prime?", "a": "True" }, { "q": "Suppose 52*j + 237388 = 120*j. Is j a prime number?", "a": "True" }, { "q": "Let i(m) = -1. Let v(l) = -12*l + 11. Let t(p) = -4*i(p) + 2*v(p). Let h be t(-12). Suppose 5*z = 5*x - 1015, -h - 271 = -3*x - 3*z. Is x prime?", "a": "True" }, { "q": "Let z(g) = 9*g**2 - 32*g - 454. Is z(-21) a composite number?", "a": "True" }, { "q": "Let t = 121 + -121. Suppose t = -12*a + 19081 - 4669. Is a composite?", "a": "False" }, { "q": "Let i = 239601 + -168998. Is i composite?", "a": "True" }, { "q": "Let q(r) = 1759*r**2 + 121*r + 79. Is q(-6) a composite number?", "a": "True" }, { "q": "Let m(d) = 379*d - 66. Let n be ((-52)/6)/((-2)/3). Is m(n) a prime number?", "a": "True" }, { "q": "Suppose -m = -4*i - 37299, -25*i + 30*i + 149218 = 4*m. Is m prime?", "a": "True" }, { "q": "Let c be -3 + -1 - -1 - 2511. Let a be -6*1*(-7 - -6). Is (2/a)/((-1)/c) prime?", "a": "False" }, { "q": "Let o(b) = 338*b + 42. Let i be o(22). Suppose -8*p + i = -186. Is p prime?", "a": "False" }, { "q": "Let c(q) = 5573*q + 1307. Is c(10) composite?", "a": "False" }, { "q": "Let j be 69/(-2)*(-56)/(-21). Let y(b) = -3*b + 6. Let m be y(4). Let p = m - j. Is p a prime number?", "a": "False" }, { "q": "Let y(d) = 7*d - 28. Let i be y(6). Is (-4)/i + (-38019)/(-203) a composite number?", "a": "True" }, { "q": "Is (-9)/((-216)/48976)*(1 - (-2)/4) composite?", "a": "False" }, { "q": "Let u(x) = -282*x - 25. Let r be 7/(-2) - (-41)/82. Is u(r) prime?", "a": "True" }, { "q": "Let c(r) = 8*r + 5. Let v be c(-4). Let q = v - -20. Is 0 + 4 - 371/q composite?", "a": "True" }, { "q": "Is 2*14/(308/720269) a prime number?", "a": "True" }, { "q": "Let p be 691 + -6 + 2 - -2. Let l = p - -218. Is l a prime number?", "a": "True" }, { "q": "Suppose -3*n = 2*q - 859, 4*q - 1726 + 28 = -2*n. Suppose -4*c + 1192 = 4*u, 3*u + c - q - 474 = 0. Is u composite?", "a": "True" }, { "q": "Let v(z) = 1. Let m(f) = -5*f**2 - 8*f - 7. Let x(l) = -4*l**2 - 7*l - 6. Let w(q) = -2*m(q) + 3*x(q). Let o(b) = 2*v(b) - w(b). Is o(-5) a composite number?", "a": "False" }, { "q": "Suppose -403153 = -17*n + 209782. Suppose 0 = 51*c - 46*c - n. Is c a prime number?", "a": "True" }, { "q": "Let p(k) = 212*k**3 - 2*k + 1. Suppose 0 = 8*b - 1 - 7. Is p(b) composite?", "a": "False" }, { "q": "Let c = 32422 - 3513. Is c prime?", "a": "True" }, { "q": "Suppose -2*i + 56301 = x, 13 = -5*i + 18. Is x composite?", "a": "False" }, { "q": "Let b(p) = -6616*p**3 - 2*p**2 + 1. Let l be b(1). Let q = -3358 - l. Is q composite?", "a": "False" }, { "q": "Let l be (3/(-2))/(-4 - (-42)/12). Suppose -i + 4*h + 1347 = 2*h, 0 = -i - l*h + 1322. Is i a composite number?", "a": "True" }, { "q": "Let n = 81838 + -41621. Is n composite?", "a": "True" }, { "q": "Let i = -231 + 207. Let n(l) = 3*l**2 - 4*l - 67. Is n(i) prime?", "a": "False" }, { "q": "Suppose -2*u + 4*u + 486 = 3*q, 5*q = -5*u - 1165. Let v = u + 163. Is (3 + -4)/(1/v) prime?", "a": "False" }, { "q": "Suppose 122*o - 3597514 - 1349952 = 0. Is o prime?", "a": "False" }, { "q": "Let q(d) be the first derivative of -39*d**2 - 4*d + 12. Let g be q(-5). Suppose 3*m - 434 = h, -4*m + g + 206 = -4*h. Is m a composite number?", "a": "True" }, { "q": "Suppose 28*l - 1818496 = -31*l - 69*l. Is l composite?", "a": "False" }, { "q": "Let i be 1/(-4)*(0 + 0). Suppose i = 3*c - 156 - 714. Suppose -37*a + c = -35*a. Is a a composite number?", "a": "True" }, { "q": "Let g be (152 - 1) + (12 - 10). Suppose -3 = m - 7. Suppose 2*f = 4*l + 314, m*f + g = 5*f + 2*l. Is f a composite number?", "a": "True" }, { "q": "Let b(r) = -r**3 + 10*r**2 - 14*r + 48. Let g be b(9). Suppose -2*u - 134 = 4*p - 1220, -g*u + 2*p + 1645 = 0. Is u a composite number?", "a": "False" }, { "q": "Suppose -52 + 66 = 2*c. Suppose 5*j - 5*h - 6060 = 0, c = 2*h + 3. Is j composite?", "a": "True" }, { "q": "Let b(v) be the third derivative of -v**5/30 - 3*v**4/2 - 7*v**3/2 + 48*v**2 + 2. Suppose -2*q - 56 = -4*o - 14, -o = -4*q - 70. Is b(q) a composite number?", "a": "False" }, { "q": "Let s = -67759 - -105558. Is s prime?", "a": "True" }, { "q": "Suppose 2*x - 3722 = -4*y, x + x + 5*y - 3719 = 0. Suppose -3*h - 1832 = -c, -8*c + 4*h = -9*c + x. Is c a prime number?", "a": "True" }, { "q": "Let t = 50174 - 1161. Is t prime?", "a": "False" }, { "q": "Let n be 295711/65 + (-2)/5. Let r = n - -996. Is r prime?", "a": "False" }, { "q": "Is 366/61 - (-119*29 - 0) prime?", "a": "True" }, { "q": "Suppose -3*f + 1551 = 2*m, -f - 209 = -2*m + 1322. Let y = 1487 - m. Is y a prime number?", "a": "True" }, { "q": "Let h(f) = 104*f**2 - 20*f - 137. Is h(-11) a prime number?", "a": "False" }, { "q": "Let y(x) = 6594*x**2 + 80*x + 81. Is y(-1) a composite number?", "a": "True" }, { "q": "Let g = 70 + -62. Suppose -3514 = g*r - 22*r. Is r a prime number?", "a": "True" }, { "q": "Is (105/(-10) + 11)*181318 a prime number?", "a": "True" }, { "q": "Suppose 2*s - 2 = 6. Is s/(1 - -1) + 1919 prime?", "a": "False" }, { "q": "Let k(w) = -2*w**3 - 46*w**2 + 435*w + 10. Is k(-47) composite?", "a": "False" }, { "q": "Let t(x) = -x**3 + 24*x**2 - 24*x - 1. Is t(-20) a prime number?", "a": "False" }, { "q": "Let r(q) = -3*q + 23. Let c be r(6). Suppose -2*g + c*y = -8759, -g + 17443 = 3*g + 5*y. Is g a composite number?", "a": "True" }, { "q": "Let d be (-2)/(-8) + (-140)/(-16). Suppose 3*z + d = 12*z. Is (-4)/(-5 + z)*191 a composite number?", "a": "False" }, { "q": "Is 48/(-7) + 9/(-63) - -7286 composite?", "a": "True" }, { "q": "Suppose -3*l + 35 = -p - 4*p, 16 = 2*l + 4*p. Suppose -6423 - 1447 = -l*u. Is u composite?", "a": "False" }, { "q": "Let y = 65511 + -16684. Is y composite?", "a": "True" }, { "q": "Let r(n) = 7*n**2 - 3*n + 13. Let t be r(4). Let y = -46 + t. Suppose k - y - 12 = 0. Is k a composite number?", "a": "False" }, { "q": "Suppose 3*l - 32108 = 3*s - 89492, 4*l = -4*s + 76472. Is s prime?", "a": "False" }, { "q": "Suppose j + j - 6 = 0. Let i = -249 - -252. Suppose -i*c - 57 = -j*d - 0*d, 2*d - 58 = -3*c. Is d composite?", "a": "False" }, { "q": "Let b be (-1252)/(-6) + ((-10)/(-3))/(-5). Let s = -182 + b. Is s a composite number?", "a": "True" }, { "q": "Suppose 0 = t - 6*t + 3*p - 145, 0 = 4*t - 3*p + 113. Let m be (142/(-4))/(2/(-4)). Let y = m + t. Is y a composite number?", "a": "True" }, { "q": "Suppose -5*a - v + 740700 = 0, 8*v - 11*v + 15 = 0. Is a a composite number?", "a": "False" }, { "q": "Let k(z) be the third derivative of z**7/840 + z**5/20 - z**4/8 - 17*z**3/6 - 5*z**2. Let l(q) be the first derivative of k(q). Is l(4) composite?", "a": "True" }, { "q": "Suppose 0 = -7*q + 258428 - 47781 + 51692. Is q prime?", "a": "False" }, { "q": "Suppose 18*n = -40*n + 6231578. Is n composite?", "a": "False" }, { "q": "Let q(x) = 200*x + 79. Let h be q(15). Let m = 4718 - h. Is m prime?", "a": "False" }, { "q": "Let n = 1 - -5. Let t be -240*(n/(-4) + 0/3). Suppose -t - 254 = -2*c. Is c a composite number?", "a": "False" }, { "q": "Suppose -27*s + 446958 = -1324009 - 147626. Is s prime?", "a": "True" }, { "q": "Let o = 217 - 217. Is (-7)/((-35)/3470) + o composite?", "a": "True" }, { "q": "Suppose -x + 7895 = 3*k - k, k - 3975 = 5*x. Let c = -1633 + k. Is c composite?", "a": "True" }, { "q": "Let j(o) be the first derivative of 71*o**2/2 + 8*o + 1. Let q be 3*(-8)/(-64)*8. Is j(q) a composite number?", "a": "True" }, { "q": "Let p(y) = 3*y - 22. Let q be p(7). Let v(s) = -3*s**3 + s**2 + 3*s + 2. Let b be v(q). Suppose 0 = -u - u + 5*w + 648, b*u - 955 = -w. Is u a prime number?", "a": "False" }, { "q": "Let r(h) = -6 + 21 + 7*h - h. Let q be r(-6). Let g(d) = -34*d + 35. Is g(q) a prime number?", "a": "False" }, { "q": "Suppose 23*w = 20*w - 5*k + 69408, -3*w = -5*k - 69438. Is w a composite number?", "a": "True" }, { "q": "Let o = -49 - -41. Let b = 24 + o. Let q = b - -37. Is q a prime number?", "a": "True" }, { "q": "Let m = -8029 - -46532. Is m a prime number?", "a": "False" }, { "q": "Suppose 228502 = -85*l + 128*l. Is l composite?", "a": "True" }, { "q": "Let s be 2/(-17) - 6/34*-12. Suppose 4*f = -4*o - o + 4883, s*f + 4901 = 5*o. Is o a prime number?", "a": "False" }, { "q": "Suppose -24*y + 23752 = 4*f - 26*y, 0 = -f + 4*y + 5931. Is f a composite number?", "a": "False" }, { "q": "Suppose 0 = -4*a + 48 - 40. Is 630 - (a/8)/((-5)/20) composite?", "a": "False" }, { "q": "Suppose -10*f + 8*f = -3*b - 410, 1015 = 5*f - 5*b. Let w = 258 - f. Is w a prime number?", "a": "True" }, { "q": "Let s be (-2 + 0 - -5) + 2. Let a be ((-24)/432)/((-2)/(-6))*-12. Suppose -47 = -s*b - a*p, -4*p = 5*b - 0*b - 49. Is b a composite number?", "a": "True" }, { "q": "Is (29049 - 144) + 4*-1 a prime number?", "a": "True" }, { "q": "Let g be 1 - -4142 - ((2 - -4) + -3). Let a = g - 1927. Is a a composite number?", "a": "False" }, { "q": "Let s(x) be the third derivative of 13*x**5/4 + x**4/4 + 2*x**3/3 - 68*x**2. Is s(7) a composite number?", "a": "False" }, { "q": "Let f(m) = m**3 - 8*m**2 - 2*m - 4. Let s = 29 - 25. Let g be f(s). Let n = g + 731. Is n prime?", "a": "False" }, { "q": "Suppose -4*m - 5 = -10*f + 5*f, 3*f = -3*m + 3. Suppose m = -3*t - 992 + 11858. Is t a composite number?", "a": "True" }, { "q": "Is (18/33 - 464/(-319))*(-19661)/(-2) composite?", "a": "False" }, { "q": "Suppose -2*i - 3*y + 20 = 0, 6*i - 12 = 2*i + y. Suppose i*c = 5057 + 1807. Let n = c + -319. Is n a composite number?", "a": "True" }, { "q": "Suppose 0 = -2*v - 2, -w = -6*w - 2*v - 492. Let q = -234 - w. Let m = 401 + q. Is m a prime number?", "a": "False" }, { "q": "Let t = 34472 - -31665. Is t a composite number?", "a": "False" }, { "q": "Let r = 29489 - -22562. Is r composite?", "a": "False" }, { "q": "Suppose 0*u = 2*u + 8, -5*r - u - 3014 = 0. Let m = 1375 + r. Suppose 2*q - 4*v = 510, -2*q + 4*v + m = q. Is q prime?", "a": "True" }, { "q": "Let o(t) = -t**3 + 8*t**2 - t - 39. Let k be o(7). Suppose 5*v = -4*b + 12907, 4417 = 4*b - k*v - 8530. Is b prime?", "a": "False" }, { "q": "Suppose -6*s + 32 = 2*u - 2*s, 2*u + 2*s = 22. Let w be (-3)/u*(2 - 0) - -683. Let t = 991 + w. Is t a prime number?", "a": "False" }, { "q": "Suppose 0 = 22*g + 16 - 126. Let v(u) = -52*u + 1 + 0 + 150*u. Is v(g) composite?", "a": "False" }, { "q": "Let g = -5465 + 75424. Is g prime?", "a": "True" }, { "q": "Suppose 3*u + 3*v = 7*u + 27051, 0 = -u + 2*v - 6759. Let g = 13762 + u. Is g prime?", "a": "True" }, { "q": "Let g(c) = 8*c - 28. Let f be g(3). Is ((-1031)/f*-6)/((-33)/110) composite?", "a": "True" }, { "q": "Is (-16622)/(-1) - (52 + -37) a composite number?", "a": "False" }, { "q": "Suppose 0 = 65*c - 64*c - 118799. Is c composite?", "a": "False" }, { "q": "Let k = -51649 - -86246. Is k a composite number?", "a": "True" }, { "q": "Suppose -4*o - 30 = -3*c, -5*c + 3*o + 24 = 5*o. Suppose c*p = 4*p - 1418. Let i = p - -1266. Is i a composite number?", "a": "False" }, { "q": "Let m(r) be the second derivative of 107*r**3/6 + 10*r**2 + 67*r. Is m(21) prime?", "a": "True" }, { "q": "Let u(o) = 179*o + 55*o + 1 + 145*o + 77*o. Is u(5) a prime number?", "a": "True" }, { "q": "Let p(c) = 2044*c**3 - 12*c**2 + 23*c - 17. Is p(2) a prime number?", "a": "True" }, { "q": "Let a(c) = 64*c + 30. Let b(p) = 193*p + 89. Let n(z) = -8*a(z) + 3*b(z). Let o be n(14). Suppose 1144 = 3*h + 3*y - o, 5*h = -4*y + 3513. Is h a prime number?", "a": "True" }, { "q": "Let t be (-22)/(-8) + (-5)/(-20). Suppose 0 = t*m + 34 + 35. Let r = 74 - m. Is r prime?", "a": "True" }, { "q": "Let x be -37 + -1*8/(-2). Let z = -36 - x. Let j = z + 14. Is j a prime number?", "a": "True" }, { "q": "Let d(t) be the third derivative of t**4/12 + t**3/3 + 14*t**2. Let c be d(-6). Is (6/4)/((-5)/c) a prime number?", "a": "True" }, { "q": "Let d(f) = -14961*f - 1513. Is d(-20) a composite number?", "a": "False" }, { "q": "Let u(j) = 84*j**3 + 6*j**2 + 10*j - 35. Is u(9) a prime number?", "a": "False" }, { "q": "Let q = -2011 - -29076. Is q a prime number?", "a": "False" }, { "q": "Suppose 2*j + 3*x = -15, 3*x + 21 - 27 = 5*j. Is (-634)/j*3/2 composite?", "a": "False" }, { "q": "Let i be 7/(147/(-18738)) - 40/(-140). Let u = -305 - i. Is u composite?", "a": "False" }, { "q": "Let t(q) = 188*q**2 - 16*q + 187. Is t(-9) prime?", "a": "True" }, { "q": "Let d = 157753 + -101360. Is d a composite number?", "a": "False" }, { "q": "Suppose -4*c - 16 + 48 = 0. Suppose -3*r + c = r. Suppose -z - r*z + 231 = 0. Is z prime?", "a": "False" }, { "q": "Let c(q) = 5*q**2 + 9*q + 5. Let j = 1 + -1. Suppose o = -j*o - 7. Is c(o) a prime number?", "a": "False" }, { "q": "Is 3/2 - ((-5122755)/(-18))/(-5) a prime number?", "a": "True" }, { "q": "Let d be (-4 - 6/(-6))/(3/(-1223)). Is d + -9*(-1)/3 a prime number?", "a": "False" }, { "q": "Is ((-3)/(-6))/(8/1181552) a composite number?", "a": "False" }, { "q": "Suppose 0 = 6*l - 11*l + 3*j + 12, 5*l - 20 = 5*j. Suppose l = 23*t - 20*t - 6159. Is t a prime number?", "a": "True" }, { "q": "Let z be 2/1 - -2 - 2. Let h(g) = -4*g + 25 + 11 + 2*g**z - 5. Is h(17) prime?", "a": "True" }, { "q": "Suppose 2*m - 5*g + 453 = 0, 3*g + 841 = -2*m - 2*m. Let w be (1 - (2 - 1)) + 405. Let r = m + w. Is r a composite number?", "a": "False" }, { "q": "Suppose 0 = 2*y + 4*t + 101 - 97, -4*y + 4*t + 28 = 0. Suppose -9 = -5*d + 1. Suppose -2*j = -d*u - 670, -y*j - 3*u - 512 = -1866. Is j composite?", "a": "False" }, { "q": "Let o(q) = 2*q**2 + 42*q + 6. Let a be o(-21). Let b(j) = 64*j - 77. Is b(a) a composite number?", "a": "False" }, { "q": "Suppose -38*t - 332772 = -50*t. Is t a prime number?", "a": "False" }, { "q": "Suppose -j + 19 = 11. Let g be (2/(-3))/(8/(-36)). Suppose -1465 = -j*y + g*y. Is y prime?", "a": "True" }, { "q": "Is 116/(-20) + 5 + (-2737521)/(-45) composite?", "a": "True" }, { "q": "Suppose 517 = 19*l - 110. Is 11/(l/(-6)) + (2 - -371) composite?", "a": "True" }, { "q": "Suppose 0 = 4*n - 5*v - 37, 5*v + 17 + 23 = 5*n. Suppose -n*z - 4*z = -14371. Is z composite?", "a": "False" }, { "q": "Suppose 0 = q + q + 3224. Suppose n + 1 - 2 = 0, -480 = -4*b + 4*n. Let o = b - q. Is o a composite number?", "a": "False" }, { "q": "Let t = 68416 - 37277. Is t a prime number?", "a": "True" }, { "q": "Suppose -3*l - 156 + 669 = 0. Suppose 643 = 11*d - l. Is d a composite number?", "a": "True" }, { "q": "Is -1 + (-2 + 4844)*(8/(-12) - -5) composite?", "a": "False" }, { "q": "Let m(l) = -5*l**2 + 11*l + 20. Let k be m(5). Let u = 1041 + k. Is u composite?", "a": "False" }, { "q": "Let k be 0/(15/60 - 3/(-4)). Suppose -4*b = -3*p + 6753, k*b - b = 4*p - 9004. Is p a prime number?", "a": "True" }, { "q": "Let s be (762/(-3))/2*(-546 - 5). Suppose 5*m - s = -14*m. Is m composite?", "a": "True" }, { "q": "Let x(k) = 12*k - 31. Let i be x(2). Let d(f) = -58*f + 63. Is d(i) composite?", "a": "True" }, { "q": "Suppose 3*s + 0*s = -4*j + 121, 2*j + 5*s - 71 = 0. Let r = j + -23. Let t(i) = 2*i**3 + 5*i**2 + 8*i + 12. Is t(r) prime?", "a": "False" }, { "q": "Suppose 20 = -5*y, 44*z - 40*z - 2*y - 410812 = 0. Is z a composite number?", "a": "False" }, { "q": "Suppose 2*n - 6 = 4*n + 4*w, -2*n = 2*w. Suppose 16*h = n*h + 63817. Is h a composite number?", "a": "False" }, { "q": "Let w = -351 + 1456. Suppose 4*m - 6779 - w = -2*u, 5*u - 3926 = -2*m. Is m prime?", "a": "True" }, { "q": "Suppose o = -3*o - 12, 4*o + 47 = 5*l. Let q(u) = 7*u**3 + 4*u**2 - 24*u + 8. Is q(l) composite?", "a": "False" }, { "q": "Let f(i) be the second derivative of -17*i**5/40 + 7*i**4/6 - 7*i**3/3 - 8*i. Let l(o) be the second derivative of f(o). Is l(-10) a composite number?", "a": "True" }, { "q": "Suppose 329947 = 3*v + 4*q, -6*v + 8*v = -3*q + 219965. Is v prime?", "a": "False" }, { "q": "Suppose -28 = 3*x - 8*x - 2*j, -x = 5*j - 24. Suppose -z + 2839 = 5*h - x*h, -2*z + 5678 = -2*h. Is z a prime number?", "a": "False" }, { "q": "Let l(n) = 21*n**2 + 4*n + 16. Let h be l(-6). Let j = h - 267. Is j a prime number?", "a": "False" }, { "q": "Suppose j = 5*y - 593933, 0*y + 3*y = -3*j + 356367. Is y prime?", "a": "True" }, { "q": "Suppose 4*s = -8, -55*o + 88278 = -51*o - 5*s. Is o composite?", "a": "False" }, { "q": "Suppose -5*n + 3*w = -607450, -21*n + 17*n = 2*w - 485938. Is n a prime number?", "a": "True" }, { "q": "Let u = -9780 + 95191. Is u prime?", "a": "True" }, { "q": "Let j(b) = 2*b**2 - 5*b + 5. Let i be j(2). Suppose 0 = i*m - 679 + 232. Is ((m/(-2))/((-3)/6))/1 a composite number?", "a": "False" }, { "q": "Let l(p) = -p**3 + 24*p**2 - 47*p + 26. Let u be l(22). Is 13502/4*-10*8/u a composite number?", "a": "True" }, { "q": "Suppose 0 = -4*n + 5*j + 16, 4*j = 2*n - j - 8. Suppose -n*c + 417 = 5*z, 4*z - c = 198 + 144. Is z prime?", "a": "False" }, { "q": "Let k(f) = 2*f**2 - 31*f + 18. Let w be k(15). Suppose w*v - 5234 = v. Is v prime?", "a": "True" }, { "q": "Suppose 0 = -4*u + 106911 + 152777. Suppose -u = -33*o + 7*o. Is o composite?", "a": "True" }, { "q": "Let i = -71 + 29. Let f = i - -50. Is (847*f)/4 - (3 - 2) a composite number?", "a": "False" }, { "q": "Suppose 5 = -h + 8. Suppose -o + 1 = -2*g - h, -5*o - g + 20 = 0. Suppose 0*p + o*z + 6352 = 4*p, -4*p = -3*z - 6347. Is p a prime number?", "a": "True" }, { "q": "Suppose -4*m + t + 5 = -0*t, 4*t - 8 = 2*m. Let d be m + 1*(-4 + 2). Suppose d = -7*u + 90 + 2269. Is u a prime number?", "a": "True" }, { "q": "Let y(v) = -97*v - 94. Suppose 29 + 28 = -4*s - h, 0 = -4*h + 12. Is y(s) a prime number?", "a": "True" }, { "q": "Let k(a) = a**2 + 87*a + 41113. Is k(0) a prime number?", "a": "True" }, { "q": "Suppose 2*p - 4*p - 64 = 0. Let q = p - -38. Is 2 + ((-1331)/(-3) - (-2)/q) composite?", "a": "True" }, { "q": "Suppose 0 = 2*f - 4*f + 10. Suppose f*b + 4*l = l - 8377, -3*b = 2*l + 5026. Let o = -1045 - b. Is o prime?", "a": "True" }, { "q": "Is 719/((-88)/(-56) - (33/21 + -1)) a prime number?", "a": "True" }, { "q": "Suppose -2*o + b + 11 = 0, -3*o - 3 = -b - 17. Suppose 4*h = o + 5. Suppose -2*s + 3*n + 1282 = 0, -3*s + 3155 = h*s + 5*n. Is s a composite number?", "a": "True" }, { "q": "Let a(y) = -y**2 - 7*y - 12. Let l be a(-4). Let m(g) = g + 7. Let b be m(-4). Suppose l*n = -n + b*w + 89, -w = -2*n + 168. Is n prime?", "a": "True" }, { "q": "Suppose 2*a = -151 + 171. Suppose a*b - 3017 = 7713. Is b prime?", "a": "False" }, { "q": "Suppose d = 19*v - 24*v + 60411, -4*v = -d + 60375. Is d prime?", "a": "False" }, { "q": "Suppose -4*g - 5*u + 667474 = 39331, 3*g - 471115 = 4*u. Is g composite?", "a": "False" }, { "q": "Is 2/(-4)*(-35)/((-525)/(-340770)) a composite number?", "a": "True" }, { "q": "Let z(m) = 3*m**2 + 5*m - 4. Suppose -3*w = -2*w + 4*d + 42, 0 = -5*w - d - 115. Let k = -15 - w. Is z(k) a prime number?", "a": "False" }, { "q": "Let l = -8382 + 11946. Suppose 0 = 5*i - 3*i - l. Suppose 3*g - 2*p - 1797 = 0, -2*g - i = -5*g - 3*p. Is g prime?", "a": "False" }, { "q": "Let x(g) = g**3 + 4*g**2 - 9*g - 36. Let j be x(-4). Suppose -34*m + 29*m + 5755 = j. Is m composite?", "a": "False" }, { "q": "Let b = -21 + 23. Suppose -4*i + b*v + 52 = 7*v, 0 = -i - 4*v + 2. Let r = i - -47. Is r prime?", "a": "False" }, { "q": "Suppose -3*p - 23112 = 6*p. Is (3 - p/(-3))/(-1) a composite number?", "a": "False" }, { "q": "Suppose 12*d = -d - 195. Is (-7292)/(-16)*-6*10/d prime?", "a": "True" }, { "q": "Let c(i) = 106476*i**2 + 55*i + 57. Is c(-1) a prime number?", "a": "False" }, { "q": "Suppose 5*a = -5 + 10, -3859 = 5*w + a. Let d = w + 1173. Is d composite?", "a": "False" }, { "q": "Suppose -4*c + 0*c = 0. Suppose 0 = -z - c*z + 3. Suppose 5*q + k - z*k = 2401, 2*q - 5*k = 973. Is q a prime number?", "a": "True" }, { "q": "Suppose 0 = u + 1, -8*u = m - 13*u - 11416. Is m prime?", "a": "True" }, { "q": "Let f(z) = z**3 + 55*z**2 + 58*z - 77. Is f(-41) composite?", "a": "True" }, { "q": "Let k(r) = 85*r**2 + r**3 - 27*r - 7 - r - 101*r**2. Is k(22) a prime number?", "a": "True" }, { "q": "Suppose 0 = -3*q + 3, 2*a + 5*q = -0*q + 9. Let j(w) = w**2 + 10*w + 24. Let t be j(-14). Suppose -a*y - 28 = -t. Is y a composite number?", "a": "True" }, { "q": "Let j(k) = k**2 - 2*k + 1. Let r(d) = -4828*d**2 - 10*d + 7. Let l(m) = 6*j(m) - r(m). Is l(-1) a prime number?", "a": "False" }, { "q": "Suppose -r - 2*r = -4*a + 3, 0 = 2*r - 4*a + 6. Suppose 2*d + 338 = -2*d - 2*u, r*d = -u - 253. Let n = 1 - d. Is n a composite number?", "a": "True" }, { "q": "Let w be -1 - 10/(-15)*(-6)/4. Let j be 4/(-4)*(w + (3 - 4)). Is ((-2)/(-4))/(j*(-1)/(-8022)) prime?", "a": "False" }, { "q": "Let t = -2660 + 11323. Is t composite?", "a": "False" }, { "q": "Is (-2)/(-4 - (-2169362)/542347) a prime number?", "a": "True" }, { "q": "Let b = 40573 - 19332. Is b a composite number?", "a": "True" }, { "q": "Let m = 1792 - 1002. Suppose -b + m = 3*a, 0 = b - 3*b - 3*a + 1568. Is b composite?", "a": "True" }, { "q": "Let t(u) = 7*u - 26. Let s be t(2). Is (-10)/4 - 25170/s prime?", "a": "False" }, { "q": "Suppose 204*z - 11882898 = 102*z. Is z a composite number?", "a": "True" }, { "q": "Let r = 9581 + 4920. Is r prime?", "a": "False" }, { "q": "Suppose -4*o - l + 41244 - 2994 = 0, 47811 = 5*o + 2*l. Is o a prime number?", "a": "False" }, { "q": "Let n be ((-24)/(-21))/(2/7). Suppose -n*g = -15*g - 5181. Let a = 884 + g. Is a a composite number?", "a": "True" }, { "q": "Let l be (130/20)/(2/424). Suppose -l = -5*h + 2872. Suppose 4*g - 7250 = 2*k, -3*g = k - h - 4580. Is g a composite number?", "a": "False" }, { "q": "Let s be 1*(3 - (-12)/(-4)). Suppose 0*w - 2*w + 1346 = s. Is w composite?", "a": "False" }, { "q": "Let n be (-92)/12 + (-10)/(-15). Let t(l) = -l - 3. Let r be t(n). Is -356*((-13)/r + 3) prime?", "a": "True" }, { "q": "Let n(u) = -7*u - 3. Let h be n(-1). Suppose 0 = x - k - 4, h*x - 16 = -2*k + 7*k. Suppose -1528 = -x*q - 5*r, 0*q - 2*q = r - 758. Is q a prime number?", "a": "False" }, { "q": "Suppose 0 = 12*s - 15*s + 15. Suppose -3*q - 6 = 0, 7*h + 2*q = s*h + 2170. Is h composite?", "a": "False" }, { "q": "Suppose 0 = -4*p + 12, -4*p - 38 = -5*u - 110. Is ((-32)/u)/(-4)*2442/(-4) composite?", "a": "True" }, { "q": "Let t(n) = -375*n + 38. Let u = -141 + 138. Is t(u) a composite number?", "a": "False" }, { "q": "Suppose 0 = 3*g + 2*g - 5*t - 30, 14 = -g - 4*t. Let m be (5/3 - g)/((-15)/45). Is (89 - 0 - m/(-1)) + 1 a composite number?", "a": "True" }, { "q": "Suppose 323 + 1513 = 4*x + 5*u, -4*x = -2*u - 1808. Suppose 0 = m - 0*m + x. Is -1 + (-3 - -1)*m prime?", "a": "True" }, { "q": "Suppose -17*x = -34691 - 370963. Let p = -16747 + x. Is p a prime number?", "a": "False" }, { "q": "Let u = 3 + -35. Let r = 35 + u. Suppose -835 - 818 = -r*t. Is t a prime number?", "a": "False" }, { "q": "Suppose -h - 4 = -4*k, 0 = -3*h + 4*h - 2*k. Let c(y) = -12*y**2 - 15*y + 6. Let l(p) = -p**2 - 4*p + 1. Let z(r) = -c(r) + 5*l(r). Is z(h) a composite number?", "a": "True" }, { "q": "Let u = -4174 - -6871. Let k be (0 + -7)*(0 + 140). Let v = k + u. Is v prime?", "a": "False" }, { "q": "Suppose 0 = 2*d, -4*b + 3*d = 7*d - 28. Let i be (-3)/(-15)*(b + -2). Let f = 12 + i. Is f prime?", "a": "True" }, { "q": "Let z be (-743848)/(-42) + (-3)/(9/(-4)). Suppose -13*s + 59495 = -z. Is s a composite number?", "a": "False" }, { "q": "Suppose -1202151 = -4*x - 39*x. Is x a composite number?", "a": "True" }, { "q": "Let g(m) = 2*m**2 + 4*m - 1. Let h be g(-3). Suppose -i + 5*i = 4*a + 13396, -3333 = -i + h*a. Suppose -2*c + i = 5*c. Is c composite?", "a": "False" }, { "q": "Let i(w) = w**3 + 6*w**2 - 17*w - 3. Let l be i(-8). Suppose t - 8 = -l. Is (1124/(-6))/((-1)/t) composite?", "a": "True" }, { "q": "Is (417/(-417))/(1 + 147628/(-147626)) a prime number?", "a": "False" }, { "q": "Let m = -184 - -190. Is 0/(m/3) + 7817 prime?", "a": "True" }, { "q": "Let l(h) = 7856*h - 733. Is l(4) prime?", "a": "False" }, { "q": "Let w be (-12)/(-66) + 766/22. Let n = w + -31. Suppose -q - 1461 = -5*m, -3*q = -n*m + 886 + 274. Is m prime?", "a": "True" }, { "q": "Suppose -5*g + 5*y = -35, -y = g - 0*g + 3. Let s be 3 + (3 + -3)/g. Suppose i + 2*f = 481, -s*i + 810 = 3*f - 645. Is i a prime number?", "a": "False" }, { "q": "Let l(s) = 30*s**2 + 43 - 346*s**3 + 173*s**3 + 174*s**3 - 41*s. Is l(-30) prime?", "a": "False" }, { "q": "Let z be 35/(-10)*28/(-49). Suppose -3*c + 6120 = -l, z*l - 3*l = -c + 2038. Is c a prime number?", "a": "False" }, { "q": "Let m = -53 - -60. Suppose 11*z - 15772 = m*z. Is z prime?", "a": "True" }, { "q": "Suppose 0*q = -3*q - p + 60, -q = -2*p - 13. Let v = -21 + q. Is v - (1 + -2*74) prime?", "a": "False" }, { "q": "Let h(v) = -8*v + 55. Let q be h(9). Let i = 394 + q. Is i prime?", "a": "False" }, { "q": "Let o = 41 + -505. Let l = o - -1093. Let p = l - 334. Is p a prime number?", "a": "False" }, { "q": "Is ((-78)/(-4))/13 - 27916/(-8) composite?", "a": "False" }, { "q": "Suppose -16*h + 20*h - 8 = 0. Suppose a + 7*s = 3*s + 6587, -h = s. Is a composite?", "a": "True" }, { "q": "Suppose -20*i = -2708016 + 889076. Is i prime?", "a": "True" }, { "q": "Suppose t = -5*b + 7779, 0 = -t + 2*b + 10914 - 3121. Is t a prime number?", "a": "True" }, { "q": "Let g(w) = w**3 + 26*w**2 + 18*w + 0*w**2 + 13 + 5*w**2. Is g(-12) prime?", "a": "False" }, { "q": "Let n(y) be the first derivative of y**3/3 + 7*y**2 + 27*y - 7. Let h be n(-11). Is (-10251)/(-6)*(-4)/h composite?", "a": "True" }, { "q": "Let a = -2223 + 2889. Let k(m) = 37*m + 2. Let f be k(-3). Let z = f + a. Is z composite?", "a": "False" }, { "q": "Let v(r) = 2*r**3 + 5*r**2 - 9*r - 23. Let d(y) = -18*y + 63. Let c be d(3). Is v(c) a composite number?", "a": "False" }, { "q": "Let x be 2 - (-1 + 2)/((-2)/(-6)). Let y be 11/44*(x*1 + 5). Suppose 7 = -3*d + y, -1720 = -4*s - 2*d. Is s prime?", "a": "True" }, { "q": "Is ((-3)/3)/((12/128598)/(-2)) composite?", "a": "False" }, { "q": "Let f(g) = -105*g**3 + 13*g**2 - 12*g - 269. Is f(-9) prime?", "a": "False" }, { "q": "Suppose -13*z + 19840 + 23531 = -634. Is z prime?", "a": "False" }, { "q": "Let p(w) = -332*w - 74. Let q be p(4). Let b = -651 - q. Is b prime?", "a": "True" }, { "q": "Let c(o) be the first derivative of -49*o**4/4 - 5*o**3/3 - 2*o**2 - 7*o - 7. Is c(-3) composite?", "a": "False" }, { "q": "Let g be 18*(-14)/4*(-1 + 0). Suppose -2*k + g = 5*r, 5*k + 0*k - 2*r = 172. Is (k/2)/((-2)/(-14)) a composite number?", "a": "True" }, { "q": "Suppose 3171 = 4*q - 2241. Suppose 8*h + 847 = -q. Let z = h - -838. Is z composite?", "a": "False" }, { "q": "Suppose 0 = g - 137 + 133. Suppose -107 = -p - 2*r - 2*r, r - 353 = -g*p. Is p composite?", "a": "True" }, { "q": "Let p be -16*(-1)/4*1. Suppose -p*a = -16, -2*a + 3*a = 3*u - 131. Let r = u - -112. Is r a prime number?", "a": "True" }, { "q": "Suppose 3*a = 15, f + 15 = 5*a - 5. Suppose 4*k + 42 = 18*k. Suppose -k*t + 4*l = l - 2499, -f*l - 2503 = -3*t. Is t a prime number?", "a": "False" }, { "q": "Suppose -18*p + 6*p + 393336 = 0. Suppose -p = -7*t - 11*t. Is t composite?", "a": "True" }, { "q": "Let o(h) be the first derivative of 9*h**2/2 - 9*h + 14. Let x be o(-12). Is 4 + -1 - (x - -5) a prime number?", "a": "False" }, { "q": "Let u = 47942 + -26803. Is u a prime number?", "a": "True" }, { "q": "Suppose 13*j - 16 = 11*j. Suppose 0 = -j*q + 4686 + 37690. Is q composite?", "a": "False" }, { "q": "Let z be (0 + -3)/((-11)/(-275)). Let a = 78 - -146. Let n = a + z. Is n a prime number?", "a": "True" }, { "q": "Let j be (-4)/3 - (-351)/81. Suppose -4*k + 10 = 2, 5*n = -j*k + 12221. Is n a composite number?", "a": "True" }, { "q": "Suppose 2*v - 15*v + 52 = 0. Let u(z) = 54*z**2 + 2*z + 7. Is u(v) a prime number?", "a": "False" }, { "q": "Let i(j) = -174*j - 2. Let x be ((-6)/(-9))/(2/21). Suppose x*a = 9*a + 4. Is i(a) a prime number?", "a": "False" }, { "q": "Let p(o) = -3*o**2 + 17*o - 7. Let b be p(5). Suppose 142 + 1387 = 4*f + m, 0 = b*f - 2*m - 1133. Is f composite?", "a": "True" }, { "q": "Let n(m) = 3*m**2 - 2*m - 1. Let q be n(2). Suppose -8 = q*i - 11*i. Suppose 0 = -3*v + i*w + 319, -v = -5*w - 148 + 20. Is v prime?", "a": "True" }, { "q": "Suppose -51*i = 76*i - 9356471. Is i a prime number?", "a": "True" }, { "q": "Let n(f) = -f**3 - 2*f**2 - 4. Let u be n(-3). Suppose -4*i + 610 = u*c, 4*i = -0*i. Is 62/(c/170 - 3/5) composite?", "a": "True" }, { "q": "Let b = 63107 + -21792. Is b a prime number?", "a": "False" }, { "q": "Is 1 - 1905*8/(0 + -2) a prime number?", "a": "True" }, { "q": "Let i(z) = 70*z**3 + 5*z**2 + 10*z - 13. Is i(2) a composite number?", "a": "False" }, { "q": "Let s(r) = 13*r**2 + r - 17. Let j(c) = c**3 - 5*c**2 - 7*c - 9. Let u be j(6). Is s(u) a prime number?", "a": "False" }, { "q": "Let a(l) = -263*l + 41. Let q be a(-3). Is (9 - q/90) + 26093/9 prime?", "a": "False" }, { "q": "Let x(t) = 3*t**3 - t**2 - 59*t + 13. Is x(20) a prime number?", "a": "True" }, { "q": "Suppose -3*c = 4*w + 268828, 3*w - 3*c = -0*w - 201621. Is w/(-28) - -7 - 2/8 prime?", "a": "False" }, { "q": "Let r be -1 + -1 - 154/4*-10. Suppose 4 - 1 = f. Suppose f*b = -5*d + 1497 - r, 4*d - 742 = -2*b. Is b prime?", "a": "True" }, { "q": "Let z = -45310 - -63507. Is z composite?", "a": "True" }, { "q": "Let b(s) = -7*s**3 - 7*s**2 - 4*s + 35. Let y(m) = 3*m**3 + 3*m**2 + 2*m - 17. Let p(h) = 2*b(h) + 5*y(h). Suppose 0*w + 49 = 7*w. Is p(w) a prime number?", "a": "False" }, { "q": "Suppose -16*p - 1438877 = -80*p + 10167779. Is p a prime number?", "a": "False" }, { "q": "Suppose 0 = 6*n - 51951 - 407835. Is n a composite number?", "a": "False" }, { "q": "Suppose 10 = -3*a + 2*i, -2*i + 2 = 4*a - 8. Suppose a = 7*w - 7707 - 2212. Is w composite?", "a": "True" }, { "q": "Suppose 0 = 6*p - 8*p - 6. Let o be (-3)/p*(5 - 1). Suppose -2*l - 5*i = -197, -4*i = -o*l - 2*i + 358. Is l a composite number?", "a": "True" }, { "q": "Let i(k) = k - 3. Let d be i(6). Suppose 3*u = -d*a - 0*u + 4092, 5*u = 4*a - 5429. Is a a composite number?", "a": "False" }, { "q": "Let b = 510 - 237. Suppose 0 = -3*v - 92 + 530. Let n = b - v. Is n prime?", "a": "True" }, { "q": "Let h(k) = 8*k**2 + 2*k - 1. Let u be h(-1). Let p(s) = 19*s**3 + 2*s**2 + 2*s. Is p(u) prime?", "a": "False" }, { "q": "Suppose 12 = -3*w - 3*d, -8*d + 11*d = -5*w - 20. Is (-1 - 16/(-12))/(w/(-156)) composite?", "a": "False" }, { "q": "Suppose 99*n = 95*n + 9156. Let b = 3890 - n. Is b prime?", "a": "True" }, { "q": "Suppose 120843 = -2*p + 24563. Is (-1)/(p/16046 + 3/1) a prime number?", "a": "False" }, { "q": "Let q be ((-72)/30)/((-4)/10). Suppose 3*y + 3 = -q. Is (5 - 2)*y/((-18)/718) prime?", "a": "True" }, { "q": "Suppose 0 = 11049*i - 11050*i + 31969. Is i composite?", "a": "True" }, { "q": "Let f = 161220 + -95317. Is f a composite number?", "a": "True" }, { "q": "Let c = 125104 - 87173. Is c a composite number?", "a": "True" }, { "q": "Suppose -3551 - 1745 = -4*a. Let y = 3929 - a. Is y prime?", "a": "False" }, { "q": "Let g(o) = -o**3 + 16*o**2 - 5*o + 18. Suppose -4*q - 4*f + 52 = 0, q = 5*q - 4*f - 44. Let w be g(q). Is (14/4)/(3/w) composite?", "a": "True" }, { "q": "Let t = -443 + 132. Let b = 3802 + t. Is b prime?", "a": "True" }, { "q": "Let w(z) = -z**2 + 1. Let j(m) = 9*m**2 - 2*m + 67. Let b(a) = j(a) - 2*w(a). Is b(6) composite?", "a": "False" }, { "q": "Suppose -12 = -2*v - 2*h, 4*v + 1 + 7 = 4*h. Suppose -v*d + 4*l = -1394, 6*d = 2*d - 5*l + 2853. Is d a composite number?", "a": "True" }, { "q": "Suppose b - 19 = -l, -l - 104 = -5*b + 3. Let y = -17 + b. Suppose 2*o = -5*v + 643, 0*o - 397 = -3*v - y*o. Is v prime?", "a": "True" }, { "q": "Let s(v) = -v**3 + 3*v**2 - 3*v + 4. Let b be s(2). Suppose -8*x + b = -14. Suppose x*o = -5*d + 1909, -3*o + 2886 = -d + 4*d. Is o composite?", "a": "False" }, { "q": "Suppose 0 = 3*r - 6*r - 15. Let x = -2577 - -2571. Is (15/x)/(r/1270) composite?", "a": "True" }, { "q": "Let r(d) = -d**2 - 4*d + 6. Let z be r(-4). Is 395 + 6 + -18 + z prime?", "a": "True" }, { "q": "Suppose -2*l - 3*c + 124805 = 0, -5*l + 252296 = -2*c - 59707. Is l a prime number?", "a": "True" }, { "q": "Let v(o) = 37*o**3 - 5*o**2 + 6*o - 3. Let b be v(2). Let i = -451 + 287. Let k = b + i. Is k composite?", "a": "True" }, { "q": "Let d(s) = -16419*s + 28. Is d(-5) a prime number?", "a": "False" }, { "q": "Suppose -6*w = 74 + 70. Is (-12)/w - 6129/(-2) a prime number?", "a": "False" }, { "q": "Suppose -2*w + 62794 = l, -4*w + 125592 = -0*w + l. Is w a composite number?", "a": "True" }, { "q": "Let l = 13 - 10. Suppose 29 = 3*k - 4*o, o + 1 - 5 = -l*k. Suppose -24 - 315 = -k*d. Is d composite?", "a": "False" }, { "q": "Let z(r) be the third derivative of -r**6/120 - 13*r**5/60 + r**4/24 + 7*r**3/6 + 7*r**2. Let f be z(-13). Is 0 - -88 - (-3 + f/(-3)) a prime number?", "a": "True" }, { "q": "Let q(l) = -924*l + 7. Let i(b) = 2771*b - 20. Let x(z) = 6*i(z) + 17*q(z). Let g be x(2). Suppose 6*a - g = a. Is a a prime number?", "a": "True" }, { "q": "Let p = -21901 + 77952. Is p a prime number?", "a": "False" }, { "q": "Suppose -5*s = 5*n - 25, -6 - 13 = -3*s + n. Let d(v) = v**3 + 3*v**2 - 9*v + 2. Let z be d(-4). Suppose 3*r - x - z = s, x = 5. Is r composite?", "a": "False" }, { "q": "Suppose 446475 = 253*u - 238*u. Is u prime?", "a": "False" }, { "q": "Let w(f) = 2214*f**2 + 23*f + 291. Is w(-16) a prime number?", "a": "True" }, { "q": "Let h = -147 + 146. Is (-53 - -940)/(1 - (-1 - h)) composite?", "a": "False" }, { "q": "Let j = 21942 + 38413. Is j a composite number?", "a": "True" }, { "q": "Suppose 8*j - 1833948 = -25*j - 3*j. Is j composite?", "a": "True" }, { "q": "Let d(p) = 859*p**3 + 4*p**2 + 3*p - 53. Is d(3) a prime number?", "a": "False" }, { "q": "Suppose 9*x - 4*x + 5*v - 12610 = 0, 3*v - 6 = 0. Let a = 4043 - x. Is a a composite number?", "a": "False" }, { "q": "Let d(x) = 249*x + 2. Suppose -8*g = -21 - 3. Suppose 2*m + 15 = 5*l, -g*m = 3*l + m + 17. Is d(l) a composite number?", "a": "False" }, { "q": "Suppose 5*i = 4*y + 287, i - 2*y - 65 = -5*y. Let a be (-2 - -1)*(-6)/9*6. Suppose 0 = -3*z + a*z - i. Is z a composite number?", "a": "False" }, { "q": "Suppose 11497 = 4*n + 4*k - 1255, -3*n - 4*k = -9566. Suppose n = -3*t + 6*t. Suppose -24 - t = -6*s. Is s composite?", "a": "False" }, { "q": "Is 739796/(-6)*168/(-112) prime?", "a": "True" }, { "q": "Suppose 20*n + 227471 - 254826 = 1386825. Is n prime?", "a": "True" }, { "q": "Let l(x) = -x**2 - x. Let k(n) = 5*n**2 + 21*n - 33. Let b(y) = k(y) - l(y). Is b(-13) prime?", "a": "False" }, { "q": "Let o(j) = -12*j**3 - 9*j**2 - 14*j - 12. Let v = -177 - -170. Is o(v) a prime number?", "a": "True" }, { "q": "Let s be 120/(-100)*10/(-6). Suppose -4*i - s*n = -1876, 0 = -2*i + 4*i - 5*n - 938. Is i a prime number?", "a": "False" }, { "q": "Let v(d) = 103*d**2 - 11*d + 34. Let h be v(6). Let z = h - 1829. Is z a prime number?", "a": "True" }, { "q": "Let p be (-11638)/14 + -5*8/(-140). Let v = p - -1870. Is v prime?", "a": "True" }, { "q": "Suppose 7*j = -4*j + 6710. Let g(p) = -p**3 - 9*p**2 + 8*p - 13. Let m be g(-10). Suppose -m*q - 127 = -j. Is q prime?", "a": "False" }, { "q": "Let q be 20/(-10)*887/1. Is q/((-13)/((-13)/(-2))) a prime number?", "a": "True" }, { "q": "Let c = -11 + 11. Let a(k) = k + 5. Let t be a(c). Suppose -3*v = n - 877, 2*v + 0*n = -t*n + 576. Is v a prime number?", "a": "True" }, { "q": "Let m = 111 + -108. Suppose -6*k + 10*k - 31468 = c, -m*c - 15734 = -2*k. Is k a prime number?", "a": "True" }, { "q": "Let d(j) = 5*j**2 + 278*j + 145. Is d(-74) a prime number?", "a": "False" }, { "q": "Let h(a) = -4*a**3 + 8*a**2 - 5*a + 4. Let y(l) = -5*l**3 + 9*l**2 - 5*l + 5. Let m(i) = 4*h(i) - 3*y(i). Let k be m(4). Is 3/(-2*k/1082) prime?", "a": "True" }, { "q": "Let y(q) = 218*q**2 + 4*q - 3. Let k(i) = -2*i**2 - i + 1. Let j(s) = 3*k(s) + y(s). Is j(-1) prime?", "a": "True" }, { "q": "Let i = -1539 + 7052. Is i prime?", "a": "False" }, { "q": "Let c(w) = -5*w - 81. Let a be c(-15). Let l(d) = -2*d**3 - 9*d**2 - 5*d - 11. Is l(a) composite?", "a": "False" }, { "q": "Suppose -3*c + 21 = 3*d, -d + 3*d + c = 11. Suppose 2965 = 3*y - d*f + 3*f, 5*f + 2981 = 3*y. Let u = -508 + y. Is u prime?", "a": "True" }, { "q": "Let t(u) = -u**3 - 4*u**2 - 3*u - 2. Let w be t(-3). Let a be (-3 + 2)*w + 1. Suppose -a*f - 5*n = -95, 4*n + 4 = f - 5. Is f prime?", "a": "False" }, { "q": "Let m(a) = -a**3 + 10*a**2 - 9*a. Let l be m(9). Suppose 4*d + 0 - 8 = l. Suppose d*b - 10 = 34. Is b composite?", "a": "True" }, { "q": "Let j = 65738 - 44323. Is j a prime number?", "a": "False" }, { "q": "Let b(i) = -i - 3. Let g(d) = d**3 + 5*d**2 + 2*d + 6. Let m be g(-5). Let n be b(m). Is 2330/(3 - (n + 0)) composite?", "a": "True" }, { "q": "Let b be 3/12*-1 - 1/(-4). Let u be (0 + 11 - 2)/(-1 + b). Is 4/12 + (-384)/u composite?", "a": "False" }, { "q": "Is (-2)/12 + -4 + (-11)/((-594)/5435271) a prime number?", "a": "True" }, { "q": "Suppose 9 = -6*h + 3*h. Let z be (-1)/(h + 16/6). Suppose 113 = -z*o - 3*c + 416, 0 = -2*o + c + 190. Is o composite?", "a": "False" }, { "q": "Let c(h) = 3*h**2 - 5*h + 20. Let t(l) = 2*l**2 + 20*l - 12. Let o be t(-11). Let f be c(o). Suppose f = 2*n + 3*r, 2*n - 4*r = 422 - 124. Is n composite?", "a": "True" }, { "q": "Let q(b) = 14*b**3 - b + 2. Let a be q(1). Let f = 9 + a. Let c = f - 13. Is c prime?", "a": "True" }, { "q": "Suppose x = -1, 5*v + 4*x + 48 = -56. Let b be ((-15)/9)/(2/102). Let y = v - b. Is y composite?", "a": "True" }, { "q": "Suppose 55 = 8*j - 3*j + 2*f, 0 = -j + 3*f + 11. Suppose -x + 11052 = j*x. Is x prime?", "a": "False" }, { "q": "Let z = 5149 - -6454. Is z composite?", "a": "True" }, { "q": "Suppose 166*g - 56853183 = 43*g. Is g a composite number?", "a": "False" }, { "q": "Let a = 94 - 96. Let y(z) = -32*z**3 - 6*z - 5. Is y(a) a prime number?", "a": "True" }, { "q": "Let i(a) = -a**3 + 5*a**2 + 4*a - 17. Let v be i(5). Suppose 5*o = -y - 1915, 4*o - 7*y + v*y = -1556. Let s = o - -595. Is s composite?", "a": "False" }, { "q": "Let h = 29 + -33. Let m(t) = -t. Let l be m(h). Let n(z) = 7*z - 3. Is n(l) a composite number?", "a": "True" }, { "q": "Suppose 9*g = -6*g + 9*g. Is 499 + g*(-4)/(-24) prime?", "a": "True" }, { "q": "Suppose -10 = 3*o - 25. Let z(g) = 86*g**2 + g + 12. Is z(o) a prime number?", "a": "False" }, { "q": "Suppose -29*c - 26568423 = -194*c + 14212812. Is c composite?", "a": "True" }, { "q": "Let z = -5 + 9. Suppose -479*j + 468*j = -8657. Suppose j = -3*o + z*o. Is o a composite number?", "a": "False" }, { "q": "Is (2*(-43684)/20)/((-40)/100) a composite number?", "a": "True" }, { "q": "Let j be (-41 - -11)/((-3)/(-2)). Let s(m) be the first derivative of -6*m**2 - 49*m + 7. Is s(j) composite?", "a": "False" }, { "q": "Suppose 4*p - g - 200888 = 0, -16*p + 3*g - 100444 = -18*p. Is p a composite number?", "a": "True" }, { "q": "Let j be (-16)/10 - 6/15. Let k be ((-1)/j)/(15/8 - 2). Is k - (-3 - 3) - 219*-1 prime?", "a": "False" }, { "q": "Let l = -201 - -203. Is (-2)/((l - 0)*(-4)/3148) a prime number?", "a": "True" }, { "q": "Suppose 14*w - 45*w = -1939019. Is w a prime number?", "a": "True" }, { "q": "Is (-10998 - -1)*(-97)/679 composite?", "a": "False" }, { "q": "Let a = 19 + -15. Let h be a + -1 + 12/4 - 1. Is (h/10)/((-3)/(-2802)) composite?", "a": "False" }, { "q": "Suppose 5*u + 5*v = 0, 4*v + 0 = -u + 3. Let b(x) = 6*x**2 - 5*x - 4. Let j be b(6). Is (j/8)/(u/(-4)) + 0 composite?", "a": "True" }, { "q": "Suppose -1665285 = -33*v + 861162. Is v a composite number?", "a": "True" }, { "q": "Suppose -3*x - 3*d + 102747 = 0, 3*x - 102747 = -60*d + 63*d. Is x prime?", "a": "False" }, { "q": "Let w(b) = b**2 - 3*b - 5. Let a be w(-2). Suppose 90 = -2*v - h + 291, 3*v + a*h = 298. Let q = 300 - v. Is q a prime number?", "a": "True" }, { "q": "Is -1 + 4 + (429 - -25) prime?", "a": "True" }, { "q": "Let t = -37454 + 65377. Is t composite?", "a": "True" }, { "q": "Suppose -p = 8*b - 5*b - 10565, -p - 5*b = -10569. Is p a prime number?", "a": "True" }, { "q": "Let k = -2494 + 4036. Let o(l) = l**2 + 18*l + 56. Let p be o(-14). Suppose 2*q + 3*f - 2*f - 1028 = p, -f = 3*q - k. Is q a prime number?", "a": "False" }, { "q": "Suppose -9*a + 14294 = -6217. Suppose 0 = 3*x + 3*p - 5913, -x - 312 = 3*p - a. Is x composite?", "a": "False" }, { "q": "Let q(b) = 2*b**3 - 15*b**2 + b - 8. Let r be 11 - 1*(-6)/2. Is q(r) prime?", "a": "False" }, { "q": "Let v(o) = 603*o**3 + o**2 - 2*o + 1. Let j be v(1). Let z = 937 - j. Is (-32)/112 + 5/14*z prime?", "a": "False" }, { "q": "Let v(z) = 1434*z + 1. Let a(d) = 1434*d + 2. Let t(c) = -4*a(c) + 3*v(c). Is t(-4) a prime number?", "a": "False" }, { "q": "Let q(x) = 5199*x - 1405. Is q(6) a prime number?", "a": "True" }, { "q": "Suppose -4*n + 24 = 4*n. Suppose -n*u = -7765 - 566. Is u a composite number?", "a": "False" }, { "q": "Let p = 44079 - -15212. Is p a prime number?", "a": "False" }, { "q": "Let m = -8119 - -16814. Is m/8 + (-6)/(-48) a prime number?", "a": "True" }, { "q": "Suppose 4*x + 18 = l, -5*l - 3*x - 2 = -0. Suppose 0 = -l*f, -2*i - 2*i + 2*f + 2724 = 0. Is i prime?", "a": "False" }, { "q": "Suppose -2*m + 12 = m. Suppose a + m = 13. Suppose -1326 = -a*u + 3*u. Is u prime?", "a": "False" }, { "q": "Suppose -5 = -0*r - r. Suppose -4*d + 25004 = 10*d. Suppose r*f - 5291 = -d. Is f a composite number?", "a": "False" }, { "q": "Suppose 4*b - 36790 - 12055 - 35247 = 0. Is b a prime number?", "a": "True" }, { "q": "Let x = 3525 - -373. Is x a prime number?", "a": "False" }, { "q": "Suppose -10*g - 32*g + 3049494 = 0. Is g a prime number?", "a": "False" }, { "q": "Let n(x) = 5*x**2 + 36*x + 398. Is n(-7) a composite number?", "a": "True" }, { "q": "Is (-6)/3 + 1 - 456428/(-7) a composite number?", "a": "False" }, { "q": "Let i(v) = 6*v**2 - 66*v - 439. Is i(35) a composite number?", "a": "True" }, { "q": "Let d be 41 + -1 + 2 + -4. Let q = d + -33. Suppose -464 + 1519 = q*s. Is s composite?", "a": "False" }, { "q": "Let c(w) = 3*w**2 - 7*w - 189. Is c(-10) a prime number?", "a": "True" }, { "q": "Let s be (9*(-2 + 1))/(-11 - -10). Suppose -s*b = -b - 2032. Is b prime?", "a": "False" }, { "q": "Suppose 0 = 11*v - 17*v - 42. Is (v + 8)/(-2 - (-16783)/8391) a prime number?", "a": "False" }, { "q": "Let p(f) = 86*f + 3. Let b be p(6). Let c = -154 + -98. Let j = b + c. Is j prime?", "a": "False" }, { "q": "Suppose 5 = 5*f + 4*l, 15*l - 10*l = f - 30. Suppose f*k = -0*k + 16495. Is k a composite number?", "a": "False" }, { "q": "Suppose 14165 = -2*u - 10133. Let l = -8580 - u. Is l a composite number?", "a": "True" }, { "q": "Let o be 222152/(-22) + 6/(-33). Let u = o + 14425. Is u a prime number?", "a": "True" }, { "q": "Let g(w) = -4*w**3 - 48*w**2 - 27*w + 32. Is g(-23) a composite number?", "a": "False" }, { "q": "Suppose -3*r + 2*m + 4059 + 252 = 0, 3*r - m = 4314. Let i = r + -766. Is i prime?", "a": "True" }, { "q": "Let f be 18*((-28)/18)/(-7). Suppose -3*k + 10 = -f*i, 4*k + 5*i + 22 = 3*k. Is 123*2/(-4)*k prime?", "a": "False" }, { "q": "Let x(u) = 1248*u**2 - 16*u - 129. Is x(-7) prime?", "a": "False" }, { "q": "Suppose 2*m = 3*m - 3*k + 84, 0 = -2*m - 4*k - 128. Is 2/(-9) + (-206152)/m a prime number?", "a": "False" }, { "q": "Let a = -2527 - -4314. Suppose 0 = -5*b + 3*v + a, b + 357 = 2*b - v. Let g = -105 + b. Is g a composite number?", "a": "True" }, { "q": "Let u(k) be the second derivative of k**4/12 - k**3/6 + 1517*k**2/2 + k + 36. Is u(0) a prime number?", "a": "False" }, { "q": "Let w be 1/(1/(-15)*-3). Suppose -w*d - 14 = 6. Is (-254)/(-6) - d/6 composite?", "a": "False" }, { "q": "Let l(u) = 80*u - 5. Let v be l(19). Suppose -4*t + v = 211. Is (t/(-12)*-2)/((-1)/(-3)) composite?", "a": "False" }, { "q": "Let u(f) = -7*f**3 - 1. Let n be u(-1). Suppose -3*r - n*q + 6619 = -4*q, r = 2*q + 2193. Is r composite?", "a": "False" }, { "q": "Let u = -41 - -55. Let p be 16*2/u + 28/(-98). Suppose -p*g - 6 = -4*g, 0 = -5*j + 5*g + 3740. Is j a composite number?", "a": "False" }, { "q": "Let s(u) = 16*u**2 + 101*u - 388. Is s(-59) prime?", "a": "False" }, { "q": "Suppose 5*z - 824277 = -52*z. Is z a composite number?", "a": "False" }, { "q": "Suppose -5*d - 722 = 253. Let k(i) = -35*i**3 + i**2 + i. Let f be k(-2). Let q = d + f. Is q a prime number?", "a": "False" }, { "q": "Let o(a) = 195*a**2 + 5*a + 82. Is o(-12) a prime number?", "a": "False" }, { "q": "Let b(i) = 73*i**2 - 3991 + 13*i - 10*i**2 + 3971. Is b(6) prime?", "a": "False" }, { "q": "Let h(p) be the first derivative of -p - 1/3*p**3 + 17 + 35/4*p**4 - 5/2*p**2. Is h(4) prime?", "a": "True" }, { "q": "Suppose 5*x = -9 - 16, 3*s - 40217 = 4*x. Is s a prime number?", "a": "True" }, { "q": "Suppose -211*y = 2*v - 214*y - 147878, -v + 73953 = -5*y. Is v prime?", "a": "False" }, { "q": "Suppose -3*n - 4*l + 14 = 0, -5*n = -4*l + 7*l - 16. Suppose n*y - 2737 = -11*s + 8*s, -5*y + 6780 = -5*s. Is y a prime number?", "a": "True" }, { "q": "Suppose -5*k + 616699 = -2*y, -4*k + 3*y + 702760 = 209405. Is k prime?", "a": "True" }, { "q": "Suppose -8*n - 4*n - 26100 = 0. Let h = 338 - n. Is h a prime number?", "a": "False" }, { "q": "Suppose u = -c + 4*u + 15, -c + 4*u + 19 = 0. Suppose 0*b + 3*b + c = 3*n, -3*n - 4*b - 4 = 0. Is (n - 2438/(-22)) + 4/22 a composite number?", "a": "True" }, { "q": "Let g be 17108/42 + 2/(-6). Let w = g - 79. Suppose 671 = 2*v + 3*o, v + 0*o = o + w. Is v a prime number?", "a": "True" }, { "q": "Let z be (-6)/(8 + -2) + 6. Suppose z*n = q + 3309, 0*n - n + 658 = -4*q. Is n prime?", "a": "False" }, { "q": "Let y(a) = -210*a**3 + 24*a**2 + 25*a + 11. Is y(-10) prime?", "a": "True" }, { "q": "Suppose 0 = -3*n - k - 5, 0 = n + 4*n + 2*k + 8. Let v be (-9962)/(-2) + n + 1. Suppose 0 = -5*q + 2405 + v. Is q a composite number?", "a": "True" }, { "q": "Let a = 96 - 95. Is a + (-534)/(-6) + -1 a composite number?", "a": "False" }, { "q": "Let s(d) = -35108*d + 395. Is s(-3) composite?", "a": "True" }, { "q": "Is -2*(-3926817)/30 - (-16)/(-20) composite?", "a": "False" }, { "q": "Let s(r) = -120*r**3 - r**2 - r - 1. Let a be (-138)/4 + 4/8. Let k = a - -33. Is s(k) composite?", "a": "True" }, { "q": "Let d = 614 + -1139. Let g = d - -2474. Is g composite?", "a": "False" }, { "q": "Suppose -2*i + 3*i - 3 = 0. Suppose -4*p = -a + 52, 5*p = i + 2. Let o = a - -13. Is o prime?", "a": "False" }, { "q": "Suppose -12 = 5*k - 107. Let w(y) = -9 + k*y - 19*y + 8*y**2. Is w(5) a composite number?", "a": "False" }, { "q": "Let j = -43 - -46. Suppose 45 = -2*t + j*o - 82, o = -4*t - 219. Let q = t + 109. Is q a composite number?", "a": "False" }, { "q": "Suppose -37*a + 980192 = -5*a. Is a a prime number?", "a": "True" }, { "q": "Suppose 3*i + 36 - 66 = 0. Is (2 + (2303 - -3))*i/8 composite?", "a": "True" }, { "q": "Suppose 336094 + 323994 = 11*z + 180081. Is z composite?", "a": "True" }, { "q": "Let v(c) = -c**3 + c**2 - c + 8. Let i be v(-12). Let u = -41 + i. Is u a prime number?", "a": "False" }, { "q": "Suppose -3*g - 2 = -8. Suppose g*i - 3*i = -0*i. Suppose i = -9*r + 4*r + 1585. Is r prime?", "a": "True" }, { "q": "Suppose 107*f - 837626 = -6343. Is f prime?", "a": "False" }, { "q": "Let x(i) = i**2 - 2*i - 19. Let j be x(6). Is (-7 + j)/(4/(-1754)) a composite number?", "a": "False" }, { "q": "Let j(z) = -61*z + 20. Let r(v) = 31*v - 10. Let l(i) = -2*j(i) - 5*r(i). Let c be l(2). Let a = 293 + c. Is a prime?", "a": "False" }, { "q": "Suppose 17*o = -3*o + 24940 + 128440. Is o prime?", "a": "True" }, { "q": "Is 3*3 + (-88 - -45462) a prime number?", "a": "False" }, { "q": "Let m(y) = -593*y**2 + 28*y - 1. Let k be m(-5). Is 2/11 + (-30)/220*k a prime number?", "a": "False" }, { "q": "Suppose -1082965 - 513547 = -32*q. Is q prime?", "a": "True" }, { "q": "Suppose 3*k - 5612 + 53930 = 0. Is 80/140 + k/(-14) a prime number?", "a": "True" }, { "q": "Let c be 6*2549/2 - 3. Suppose -5*d + 3*v + 2560 = -10174, 3*d - 3*v - c = 0. Is d prime?", "a": "False" }, { "q": "Is -43889*(2 - -1 - 7*(-16)/(-28)) a composite number?", "a": "False" }, { "q": "Is (-67)/(((-72)/7677)/8) a prime number?", "a": "False" }, { "q": "Suppose 16 = 4*b - 4*h, 2*b - 3*h + 2*h = 8. Suppose -3*u + 4*w - 1034 = 145, 4*u = -b*w - 1572. Is -1 - (u - (-1 + 2)) - 2 a prime number?", "a": "False" }, { "q": "Let t = 4222 - -18987. Is t a composite number?", "a": "False" }, { "q": "Let d(b) = 226*b + 108913. Is d(0) a prime number?", "a": "False" }, { "q": "Suppose 3*g + 23453 + 34024 = 0. Let u = g + 27902. Is u prime?", "a": "False" }, { "q": "Suppose -p - 8*t = -4*t + 38, -101 = 4*p - t. Let i = p - -25. Is 7/(28/2568) + i a composite number?", "a": "False" }, { "q": "Let r = -9154 + 65303. Is r a composite number?", "a": "False" }, { "q": "Let d(a) = a**2 + 2*a - 12. Let b be d(-5). Suppose q = b*c - c - 3932, -5*q = 0. Suppose c = 4*k + 3*t, 2 = -3*t - 4. Is k composite?", "a": "True" }, { "q": "Suppose -17*v + 2804 + 22460 = -9*v. Is v a composite number?", "a": "True" }, { "q": "Let o(d) = 1060*d - 2. Let u be o(1). Suppose -21*y + 25*y = 172. Suppose -5*g - y = -u. Is g prime?", "a": "False" }, { "q": "Let o(t) = t**2 + 8. Let s = -5 - -8. Suppose -s*q + 50 - 29 = 0. Is o(q) prime?", "a": "False" }, { "q": "Let j = 40 + -38. Suppose 0 = a + j - 23. Is a/(-1)*(213/(-9) - -4) a prime number?", "a": "False" }, { "q": "Let v(j) = 15*j**2 - 23*j - 23. Let n be v(-11). Suppose 342*s - 347*s = -n. Is s composite?", "a": "False" }, { "q": "Let j(f) = -1869*f**2 + 10*f + 2. Let u be j(-2). Is (14/21)/((-4)/u) a composite number?", "a": "False" }, { "q": "Suppose 41*m - 62*m + 185057 = -920320. Is m a prime number?", "a": "False" }, { "q": "Let i = 716 - -2061. Is i a composite number?", "a": "False" }, { "q": "Let m be (-1 + -2)/(4/(-12)). Let f be m/(54/(-76)) + (-4)/(-6). Is f/(-8) + -1 - (-981)/2 prime?", "a": "True" }, { "q": "Let i = -28967 + 87600. Is i a composite number?", "a": "True" }, { "q": "Suppose -17*a - 26682 = -19*a. Suppose -q + 2*q - 6669 = -4*b, 2*q + 5*b = a. Is q composite?", "a": "False" }, { "q": "Let o = 19 + -9. Let m be 1*8/(-20) + 4/o. Suppose m*v = 5*v - 2785. Is v a composite number?", "a": "False" }, { "q": "Let s(w) = 25*w**2 - 16 + 14*w + 12 + 84*w**2. Is s(13) composite?", "a": "True" }, { "q": "Suppose -36987 = -5*l - 2*v, 5*l - 2*v - 36986 = -3*v. Is l composite?", "a": "True" }, { "q": "Suppose -4*d = 3*x - 161, 2*x = -0*x - 2. Suppose -36*q - 4745 = -d*q. Is q a prime number?", "a": "False" }, { "q": "Let f be -3 + -40 + -3 - -4. Let l = f + 48. Is 308 - ((4 - l) + 3) prime?", "a": "True" }, { "q": "Let c be -3*((-5)/(-15) - -1) + 9. Suppose -23253 = -3*d - 2*j, c*j = -0*d - 4*d + 30997. Is d a prime number?", "a": "True" }, { "q": "Let b = 9171 + -13066. Is -5 - b - 0 - 2/(-2) a composite number?", "a": "True" }, { "q": "Suppose 20*z + 296 = 22*z. Let o = -83 + z. Is o a prime number?", "a": "False" }, { "q": "Suppose -2*g = 5*d - 21, -3*g + 0 + 4 = 2*d. Suppose d*o = -4*o + 45. Suppose 0 = o*r - 4*r - 1461. Is r composite?", "a": "True" }, { "q": "Let z(f) be the third derivative of -f**6/120 - f**5/5 - f**4/12 - 4*f**3 + 9*f**2. Let r be z(-12). Suppose r = -a + 8*a - 2261. Is a a composite number?", "a": "True" }, { "q": "Let d = 20 - 14. Suppose 3*f = 3 + 3. Suppose -f*r - 1388 = -d*r. Is r composite?", "a": "False" }, { "q": "Let k(h) = 12*h - 154. Let m be k(13). Suppose -12 = -2*c + 4*i, -4*c + 4*i = -15 - 13. Suppose -1518 = -c*q + m*q. Is q a prime number?", "a": "False" }, { "q": "Let p be -1182 + (5 + -5)/(-6). Is -3 - (p/1*4 - -4) a prime number?", "a": "True" }, { "q": "Suppose -3*v + 96 = -39. Suppose 10*s = v + 625. Is s prime?", "a": "True" }, { "q": "Suppose -12*m = -5*m + 21. Let w be (m + 2)/(-1) + 3 - -1. Is (w - 3)*2 - -1111 a prime number?", "a": "False" }, { "q": "Let v(s) = 2*s + 12. Let a be v(-4). Suppose 4*k + a = 0, -6*c + 2*c = -3*k - 2987. Suppose 2*w - 4*w + c = 0. Is w composite?", "a": "False" }, { "q": "Let g(z) = 19*z**3 + z**2 - 3. Let f be g(2). Let i be f*(-1 + (4 - 4)). Let v = i + 470. Is v a prime number?", "a": "True" }, { "q": "Let z(u) = 11*u**3 - 1. Let b be z(1). Suppose 2*i = 4*i - b. Let g = i - -4. Is g a composite number?", "a": "True" }, { "q": "Let b(c) = 3449*c**2 + 256*c + 1531. Is b(-6) a composite number?", "a": "True" }, { "q": "Let h = -135043 + 201180. Is h a composite number?", "a": "False" }, { "q": "Let f(m) = m**3 + 9*m**2 - 6*m - 19. Suppose -6*p = -3*p - 6. Suppose 6*v = 3*v - p*w - 33, v + 4*w + 21 = 0. Is f(v) a composite number?", "a": "True" }, { "q": "Let i = 7500 - 1855. Let c = i + -554. Is c composite?", "a": "True" }, { "q": "Suppose -2*p - 2*i - 4 = 0, 0 = -7*p + 4*p + 3*i. Let h(k) = -4 + 329*k**2 + 5 + 326*k**2 - 14*k**2 + k. Is h(p) composite?", "a": "False" }, { "q": "Let n(h) be the second derivative of -97*h**3/6 + 69*h**2/2 - 25*h + 2. Is n(-26) prime?", "a": "True" }, { "q": "Let i(b) = 6*b**2 + 9*b**2 - 7 + 12*b**2 - 9*b**2 + 10*b. Let a be 0 + ((-8)/(-2) - -2). Is i(a) a prime number?", "a": "True" }, { "q": "Let m(v) = 2*v**3 - 5*v**2 - 2*v + 422. Let u(i) = -i**3 + 2*i**2 + i - 211. Let l(g) = -2*m(g) - 5*u(g). Suppose 0 = 3*a - 6*a. Is l(a) prime?", "a": "True" }, { "q": "Suppose 2*q - 42 = -0*q. Let r = 16 - q. Is (-252)/(-10) - (-1)/r a prime number?", "a": "False" }, { "q": "Let f(c) = -82*c**3 - 7*c**2 + 17*c + 43. Is f(-6) a prime number?", "a": "True" }, { "q": "Suppose 253 = u - 1118. Let a = u - -1708. Is a a composite number?", "a": "False" }, { "q": "Suppose -3*q - 7410 - 2953 = -p, 4*q - 4*p + 13812 = 0. Let t = q - -5584. Is t prime?", "a": "True" }, { "q": "Let b(q) = 6 - 304*q - 25 + 151*q - 311*q. Is b(-7) a composite number?", "a": "False" }, { "q": "Let i be -15 + -1 + (-5)/(-5) + 2. Let y(d) = -45*d + 19. Let o be y(i). Suppose -o = -2*x + 10. Is x composite?", "a": "False" }, { "q": "Suppose -3*y - 1 + 7 = 0. Suppose -4*h + 5*i + 18400 = 0, -9206 = -y*h - 5*i + 9*i. Is h a prime number?", "a": "False" }, { "q": "Suppose j - 87 = -5*x + 4*x, -259 = -3*j - x. Let b(p) = 2*p + 174. Let r be b(-53). Suppose -c + r = v + 4*v, j = c - v. Is c prime?", "a": "True" }, { "q": "Suppose 10 = -f - 4*f - 5*c, -3*c = f + 12. Let w = 200 + -85. Suppose w = f*p - 2*p. Is p a composite number?", "a": "True" }, { "q": "Suppose 4*o = 9*o, -3*o = 4*t - 9504. Suppose t = 2*y - 8446. Is y a composite number?", "a": "True" }, { "q": "Let o(h) = -14 - 2*h**3 - 12*h + 3 - 22*h**2 + h**3. Let a(b) = -b**2 - b. Let u(n) = -6*a(n) + o(n). Is u(-18) composite?", "a": "True" }, { "q": "Let l = -46 + 48. Suppose 0 = 4*x + 5*h - 2516, -5*x + l*h + 3132 = 5*h. Suppose 161 = c + 2*n + 2*n, -4*c + 4*n + x = 0. Is c a composite number?", "a": "False" }, { "q": "Let d = -167 + 115. Let x be -3 + (-3)/(6/d). Is 4/12*x*9 prime?", "a": "False" }, { "q": "Let a(r) = -2685*r + 353. Is a(-6) a composite number?", "a": "True" }, { "q": "Let x(a) = 397*a**2 - 4*a + 406*a**2 + 8 - 788*a**2. Is x(-7) a composite number?", "a": "True" }, { "q": "Let c(s) = 2*s**3 + 22*s**2 + s + 15. Let y be c(-11). Suppose 3*m + y*m - 266 = 0. Is m a prime number?", "a": "False" }, { "q": "Let b = -60 + 4. Let z be b/(3/(-9) + 0). Suppose 325 + z = y. Is y composite?", "a": "True" }, { "q": "Suppose -5*z + 12 = -2*z. Suppose -z = -y - 2. Is -2*(-325)/20 - y/(-4) composite?", "a": "True" }, { "q": "Let s(v) = v**2 - 5*v + 4. Let j be s(5). Suppose -4*u - u = 2*n - 11, -n = -u - 2. Suppose -5*a - 8 = -j*h + 1220, n*a + 307 = h. Is h a prime number?", "a": "True" }, { "q": "Let n be 3 - -1 - -1*(33 - 4). Is 1481/(143/n - (3 + 1)) composite?", "a": "True" }, { "q": "Let x(t) = -81*t + 1. Let i(d) = d**3 - 11*d**2 + 3*d - 16. Let c be i(11). Let a = 9 - c. Is x(a) a composite number?", "a": "True" }, { "q": "Let j(v) = 283*v**2 - 14*v + 203. Is j(12) a prime number?", "a": "True" }, { "q": "Let l = -216 + 224. Suppose l*p - 5142 = 14290. Is p prime?", "a": "False" }, { "q": "Let k(d) be the first derivative of -d**4/4 + 8*d**3 + 41*d**2/2 - 3*d + 27. Is k(25) composite?", "a": "False" }, { "q": "Is (8754790/(-44))/(2/(-4)) composite?", "a": "True" }, { "q": "Let n = -35 - -36. Suppose 5*u = -g + 2*u + 8, g - n = 4*u. Is 290/g - (1*-2 - -2) a prime number?", "a": "False" }, { "q": "Let t(d) = -3*d**2 - 2*d + 4. Let s(j) = j + 1. Suppose -5*f - 15 = -3*i, 0*f = 5*i + 3*f - 25. Let u(w) = i*s(w) - t(w). Is u(9) a composite number?", "a": "False" }, { "q": "Let w(l) = -2*l**2 + 10*l + 34. Let c be w(-10). Let g = 588 + c. Let q = g + -68. Is q a composite number?", "a": "True" }, { "q": "Let o = 54 + -15. Let b = 42 - o. Suppose -5*x + 657 + 202 = b*c, -c - 3*x = -281. Is c composite?", "a": "False" }, { "q": "Let f(k) = -22387*k - 220. Is f(-5) composite?", "a": "True" }, { "q": "Let b = 178 + -172. Is 153/b - (-1)/2 composite?", "a": "True" }, { "q": "Let n = 167 + -166. Is (2 - (n - 2)) + 666 + 10 a composite number?", "a": "True" }, { "q": "Let n be -1 - 0 - (-49 - 6). Let y = n + -50. Suppose 3*f + 287 = 2*z, y*f + 0*f + 286 = 2*z. Is z prime?", "a": "False" }, { "q": "Suppose 0 = -23*a - 787 - 87. Is 2*-1*(-57)/a + 3514 a prime number?", "a": "True" }, { "q": "Suppose 8*d + 47522 = 4*g + 3*d, 3*g - d = 35636. Let f = -4461 + g. Is f a prime number?", "a": "True" }, { "q": "Let t be 5 - (-20)/(-25)*5. Let p(w) = 6548*w**3 + 2*w**2 - 2*w - 1. Is p(t) composite?", "a": "False" }, { "q": "Let j(h) = 9*h**2 + 18*h + 17. Let i be j(-1). Is 2/(5*i/20860) prime?", "a": "False" }, { "q": "Suppose 215136 = 5*z + c, 4*c + 96410 - 268522 = -4*z. Is z prime?", "a": "False" }, { "q": "Let b = -1302 + 11049. Suppose 2*p + 5*r - 7791 = -2*p, -b = -5*p + 2*r. Is p composite?", "a": "False" }, { "q": "Is (-4 - 452530)*51/(-102) composite?", "a": "False" }, { "q": "Is (-3 - (7 + -11))/((-3)/(-23811)) composite?", "a": "False" }, { "q": "Let y(w) = -3382*w**2 - 32*w + 3. Let q be y(6). Is (-1)/4 + q/(-68) composite?", "a": "True" }, { "q": "Suppose 0 = 3*k - 2*f + 6 - 14, 2*f + 8 = -4*k. Suppose k = 4*o - 2*z - 16784, 3*o + 0*o = 2*z + 12586. Is o a prime number?", "a": "False" }, { "q": "Suppose 68*g - 35448 = 44*g. Is g prime?", "a": "False" }, { "q": "Let w = 90 + 54. Let a be (-896)/w - 2/(-9). Is (-797)/(3/(a/2)) composite?", "a": "False" }, { "q": "Suppose -3*v = -3*k - 2*v + 415, k - 135 = 2*v. Suppose -g + 4*q - k = q, -5*g = -q + 639. Let i = g + 1598. Is i a composite number?", "a": "False" }, { "q": "Let w(c) = -35*c + 123. Let h(y) = -123*y + 432. Let q(d) = -5*h(d) + 18*w(d). Is q(-7) composite?", "a": "True" }, { "q": "Let m be ((-27)/2)/(-3) - (-16)/(-32). Suppose -n - 10448 = -m*n + 4*i, -n + 3489 = 5*i. Let a = n - 2337. Is a a prime number?", "a": "False" }, { "q": "Suppose 7*t = 2*t - 5. Let d be ((-10)/(-150)*-5)/((-1)/15). Let g = d + t. Is g a composite number?", "a": "True" }, { "q": "Let t = -116 + 162. Suppose -s + 32 - t = 0. Is 1 + (-10636)/s + 8/28 a prime number?", "a": "True" }, { "q": "Let h(i) = 73*i**2 - 7*i - 39. Let u be h(-6). Suppose -8*r + 11*r = u. Is r composite?", "a": "False" }, { "q": "Let a be (6 - 3)*5/5. Suppose -2*v + 6178 = 4*l, v - 3*l = -a*v + 12378. Is v prime?", "a": "False" }, { "q": "Suppose 14*c - 160687 + 132218 = 191065. Is c composite?", "a": "True" }, { "q": "Suppose -3*o = 2*q - 19304, 6*o = 2*o + 3*q + 25716. Suppose 23*r = -o + 37321. Is r prime?", "a": "False" }, { "q": "Let o = 46 + -20. Let k = o - 18. Is 1262/k + -1 - 2/(-8) composite?", "a": "False" }, { "q": "Let i(a) = 280*a**2 + 13*a - 287. Is i(12) composite?", "a": "False" }, { "q": "Suppose -100*j = 10*j - 6443164 - 7189026. Is j a composite number?", "a": "True" }, { "q": "Suppose 5*m - 12*n = -11*n + 15113, 0 = m - 2*n - 3028. Is m a prime number?", "a": "False" }, { "q": "Let v = -1 - -9. Let t be 2/v - (-7)/(-28). Let d = 215 + t. Is d composite?", "a": "True" }, { "q": "Suppose 15059 = -13*a - 24*a. Suppose 5*v + 2162 = -1908. Let m = a - v. Is m prime?", "a": "False" }, { "q": "Suppose -3*b - 5*o = 8995, 0 = -3*b - 4*o + 450 - 9443. Let u = 7830 + b. Is u a composite number?", "a": "True" }, { "q": "Let n(r) = -r**2 + 34*r + 99. Let t be n(37). Let j(o) be the third derivative of o**6/120 + o**5/5 - 13*o**4/24 - 23*o**3/6 - 2*o**2. Is j(t) a prime number?", "a": "False" }, { "q": "Suppose 0 = 7*a - 8*a - 2*y + 159279, 3*a - 477851 = y. Is a composite?", "a": "True" }, { "q": "Suppose -2*q + 5*q = -4*i + 82369, 0 = q + 1. Is i a composite number?", "a": "False" }, { "q": "Let y be -4 + (3 - (-11 - -6)). Suppose y = 3*h - 2, 3*b - 9327 = -3*h. Is b composite?", "a": "True" }, { "q": "Suppose -11*i - 10476 = -2*i. Let u = -91 - i. Is u a prime number?", "a": "False" }, { "q": "Suppose 0 = -13*r + 5*r - 4152. Let p = -261 + -47. Let g = p - r. Is g composite?", "a": "False" }, { "q": "Suppose -44 = 54*i - 65*i. Let r(k) = -2*k**2 - 8 + 13*k**3 - k**2 + 2 + 6*k. Is r(i) prime?", "a": "False" }, { "q": "Is (-56)/(-140) + (-255878)/(-5) + 3 a prime number?", "a": "False" }, { "q": "Let b be 1 + 3 + -5 + 1. Let y be (-1)/(2/(-8)) + b/(-2). Suppose y*p - 161 - 73 = -2*x, -4*x + 5*p = -481. Is x a composite number?", "a": "True" }, { "q": "Let w(a) = 4974*a + 1723. Is w(6) composite?", "a": "False" }, { "q": "Suppose -2*v + 15 = -9. Let k be (-27)/6*v/(-18). Suppose 761 + 466 = k*n. Is n composite?", "a": "False" }, { "q": "Suppose 4*w = -5*j + 655412, 112*w - 115*w = -2*j - 491559. Is w a prime number?", "a": "True" }, { "q": "Let t = -823 - -819. Let d(b) = 7*b + 0*b**3 + 1 - 2*b**3 - 2 + 7*b**2. Is d(t) prime?", "a": "True" }, { "q": "Suppose 2*o + 3758 - 60534 = 0. Suppose 10*x - o = 1882. Is x a prime number?", "a": "False" }, { "q": "Let m = -47 + 67. Suppose 0 = -m*f + 22*f - 3418. Is f a composite number?", "a": "False" }, { "q": "Is (4 - 14/4)/(2/15172) a composite number?", "a": "False" }, { "q": "Suppose 8*w - 12*w = -3692. Let o = 1642 - w. Is o prime?", "a": "True" }, { "q": "Suppose 15*a = 1056936 - 335977 + 805876. Is a a prime number?", "a": "True" }, { "q": "Suppose 41*w = 38*w - 12. Let i(g) = -39*g**3 + 4*g**2 - 3*g + 7. Is i(w) composite?", "a": "False" }, { "q": "Suppose 416*a = 427*a - 185581. Is a composite?", "a": "False" }, { "q": "Let g(a) = 18*a - 4 - 3 + 2*a**2 - 12*a - 4. Is g(24) a prime number?", "a": "False" }, { "q": "Suppose 0 = -3*l + 5*v - 200 - 186, 2*l - 5*v + 264 = 0. Let m = -170 + 475. Let w = m - l. Is w a prime number?", "a": "False" }, { "q": "Is ((-1203603)/(-9))/(7/(-6)*6/(-21)) prime?", "a": "True" }, { "q": "Suppose -4*u + x = -23486, -4*u = -5*u - 5*x + 5861. Let v = u + -1550. Is v a composite number?", "a": "True" }, { "q": "Is 1/(-12) - (3 - (-1754120)/(-96)) a prime number?", "a": "True" }, { "q": "Let b(v) be the second derivative of -v**3/6 - 19*v**2/2 - 9*v. Let x be b(-12). Is 234/(-9)*x/2 a prime number?", "a": "False" }, { "q": "Let p(u) = -166*u**3 - 4*u**2 + 2*u - 1. Let i be p(3). Let h = -956 - i. Is h a prime number?", "a": "True" }, { "q": "Let j = -89 + 104. Suppose -5*a - n = -24188, 5*n - j = -0. Is a a prime number?", "a": "False" }, { "q": "Is ((-172)/129)/((-4)/332979) composite?", "a": "True" }, { "q": "Suppose 17488 - 58175 = -14*h + 177727. Is h a prime number?", "a": "True" }, { "q": "Let c be 30/3*(-232)/(-10). Suppose 1722 = 5*x + c. Is x a prime number?", "a": "False" }, { "q": "Suppose 21*d = -4*y + 19*d + 32682, -40859 = -5*y + 4*d. Is y a prime number?", "a": "True" }, { "q": "Suppose -28*v + 25*v - 18 = 0. Is 0 - (-477 + v/3) composite?", "a": "False" }, { "q": "Let q be -225 + 233 - (-1 + 7). Let m be (1*-86)/((-2)/5). Suppose -m + 2131 = q*a. Is a a composite number?", "a": "True" }, { "q": "Suppose 5*u + u + 1962 = 0. Let k be (0 + u)*((-64)/(-12))/8. Let h = k - -547. Is h a composite number?", "a": "True" }, { "q": "Let b = 10 + 237. Is 123291/b - (-2)/(-13) a prime number?", "a": "True" }, { "q": "Let r = 142 - 140. Suppose -3*x + r*n = -5417, -5*x - 3*n = 2*n - 8995. Is x prime?", "a": "False" }, { "q": "Let v(a) = 4*a**3 + 4*a**2 + 8*a - 12. Let o = -7 + 12. Let z be v(o). Let m = z + -365. Is m a prime number?", "a": "True" }, { "q": "Let o = -208 + 214. Suppose -3*s = -o*s + 9609. Is s prime?", "a": "True" }, { "q": "Let m be (190/(-3))/(1/(-3)). Let p(t) = -2*t**2 - 29*t - 93. Let w be p(-5). Suppose -2*h - w*x + 145 = x, -x - m = -3*h. Is h a prime number?", "a": "False" }, { "q": "Let n(j) = 266*j**2 + 117*j + 135. Is n(-14) a prime number?", "a": "False" }, { "q": "Suppose -4834 = 3*j - 5*t, -12*j + 17*j - 2*t = -8025. Let s = -222 - j. Is s a composite number?", "a": "False" }, { "q": "Suppose -5*k = 3*f + 2466 - 154755, -4*f = k - 203052. Is f prime?", "a": "False" }, { "q": "Suppose 23*t - 35*t = -184188. Is t prime?", "a": "True" }, { "q": "Let g(n) = 4975*n - 894. Is g(7) composite?", "a": "False" }, { "q": "Suppose -9*h + 7346 - 2034 = -10195. Is h composite?", "a": "False" }, { "q": "Let j(t) = t**2 + 17*t + 34. Let l be j(-4). Is 209020/44 + l/(-33) prime?", "a": "True" }, { "q": "Let q(h) be the third derivative of h**5/30 + h**4/12 + 2395*h**3/6 + 16*h**2. Let z = -29 + 29. Is q(z) a composite number?", "a": "True" }, { "q": "Let x(a) be the second derivative of a**4/3 - 13*a**3/3 - 87*a**2/2 + a + 46. Is x(-17) prime?", "a": "True" }, { "q": "Suppose -4*x + 488 - 2104 = 0. Suppose -23001 = 331*n - 364*n. Let j = x + n. Is j composite?", "a": "False" }, { "q": "Let j(m) = -2*m**2 + 37*m + 63. Let i be j(20). Let h(w) = 62*w**2 + 2 + 10*w + 0*w - 2 - 1. Is h(i) prime?", "a": "True" }, { "q": "Let q = 61518 + -34849. Is q a prime number?", "a": "True" }, { "q": "Suppose 4*g = 2*k + 8*g - 6466, 2*k = 3*g + 6445. Is k prime?", "a": "False" }, { "q": "Let t(b) = -2*b**3 + 17*b**2 - 2*b - 6. Let g = -44 + 49. Is t(g) prime?", "a": "False" }, { "q": "Let b be -1 + 5 - -2 - 0. Is -7 + b - -257*34 a composite number?", "a": "False" }, { "q": "Let m be (175/(-3))/((-2)/18). Suppose 5*t - m = 190. Let f = t + 184. Is f a composite number?", "a": "True" }, { "q": "Let u(s) = -3*s**3 + 37*s**2 - 33. Let p be u(16). Let g = -1596 - p. Is g a composite number?", "a": "True" }, { "q": "Let s = -39 - -65. Let t = 28 - s. Suppose 1144 = -t*m + 10*m. Is m a composite number?", "a": "True" }, { "q": "Let j = 11 + -23. Is ((-19338)/j)/((-4)/8 + 1) composite?", "a": "True" }, { "q": "Suppose 0 = 3*b - 45 + 39. Suppose -7*y + 2*y + 2 = b*r, -2 = -2*r. Suppose -3*u + 3*a + 123 = 0, -2*a = -3*u - y*a + 121. Is u composite?", "a": "True" }, { "q": "Let h be -1*(-2 + 3)*-3. Suppose -3*c - h*i + 17 = 191, -232 = 4*c - 2*i. Let w = c + 141. Is w composite?", "a": "False" }, { "q": "Let w be (-219)/6 + (-2)/(-4). Let p be 1542/(-4)*24/w. Suppose -q + 257 = a, 2*q - q + p = a. Is a a composite number?", "a": "False" }, { "q": "Suppose -57 = -4*m + m. Let a = m + -15. Suppose a*q - 185 = 387. Is q composite?", "a": "True" }, { "q": "Is (4 + (-55)/10)/((-7)/(3595088/12)) prime?", "a": "False" }, { "q": "Suppose 0 = 2*f - f - 12. Let l be (-1296)/(-6) - (-1 - -4 - -3). Is (0 + (l - -2))*f/16 composite?", "a": "True" }, { "q": "Let c = 742 + 832. Suppose n - 1582 = -4*y, 2*y - 3*n - c = -2*y. Is y a composite number?", "a": "True" }, { "q": "Suppose -17*x + 76681 + 325067 = -5*x. Is x composite?", "a": "False" }, { "q": "Suppose -5*r + 93922 = 3*q, 6*q - 9*q = r - 93902. Is q prime?", "a": "False" }, { "q": "Let d be (2 - 1)*(-1 + 7). Suppose 3068 = -d*y - 9034. Let a = -1094 - y. Is a a composite number?", "a": "True" }, { "q": "Let s(y) = 234*y + 7. Let f(z) = 57*z + 2. Let k(t) = -25*f(t) + 6*s(t). Suppose 4*p = n - 3, -4*n - 12 = p - 5*p. Is k(n) composite?", "a": "False" }, { "q": "Suppose 2*j - 5*j + 5*z + 2285 = 0, -3*j + 2295 = -3*z. Let h = j - -69. Is h composite?", "a": "False" }, { "q": "Suppose -8*b - 292313 = -15*b - 0*b. Is b prime?", "a": "True" }, { "q": "Suppose -2*j + 2*g + 248 - 5594 = 0, -j - 2672 = -2*g. Let h = -981 - j. Is h a prime number?", "a": "True" }, { "q": "Let t = 172 - 170. Suppose t*z = 5*z + 5*r - 496, 329 = 2*z + 3*r. Is z composite?", "a": "False" }, { "q": "Suppose -17*o = 133*o - 7681650. Is o a composite number?", "a": "True" }, { "q": "Let l = 6320 + -3922. Let j = l + 363. Is j prime?", "a": "False" }, { "q": "Let b = 102 + -99. Is 2 + -2 + 2 + 650 - b a composite number?", "a": "True" }, { "q": "Let b be 181 - 9/((-18)/4). Let x = b + -68. Is x a prime number?", "a": "False" }, { "q": "Let p = 4411 + -284. Is p a composite number?", "a": "False" }, { "q": "Let a(p) = p**3 + 11*p**2 + 17*p - 5. Let q be a(-9). Suppose 2*v + 18 = 3*c - 2, -q*c - 3*v = -4. Suppose c*i - 923 + 351 = 0. Is i a prime number?", "a": "False" }, { "q": "Let q(h) be the second derivative of -112*h**3/3 - 5*h**2/2 - 9*h + 1. Is q(-5) composite?", "a": "True" }, { "q": "Let p = -38 + 43. Let o(z) = 4 - 7*z + 4 + 20*z**2 - 4. Is o(p) prime?", "a": "False" }, { "q": "Let c(m) = 73*m**2 - 38*m + 16. Is c(-13) composite?", "a": "True" }, { "q": "Suppose -j = o - 9082, 9085 = j + 159*o - 161*o. Is j composite?", "a": "True" }, { "q": "Let i(n) = n**2 + 19*n + 54. Let q be i(-16). Is 3802/4*(-6 + 2 + q) prime?", "a": "True" }, { "q": "Suppose -235039 = -2*i - 5*w, i - 5*w - 69176 - 48366 = 0. Is i a composite number?", "a": "True" }, { "q": "Let b(z) = -z**2 + 5*z - 2. Let f be b(4). Suppose 0 = -3*t + 3*j + 17181, f*t - 3*j - 1649 = 9810. Is t prime?", "a": "False" }, { "q": "Let q = 116 + -120. Is (1/((-10)/1685))/(q/8) a prime number?", "a": "True" }, { "q": "Suppose -36*z - 33*z = -1037139. Is z composite?", "a": "False" }, { "q": "Let x = 16245 + 7383. Let u = x + -12781. Is u composite?", "a": "False" }, { "q": "Suppose 0 = 2*t - 6*t + c + 188, 3*t = -5*c + 164. Let q be 10/(-4)*t/(-20). Is 5/10 + 5331/q prime?", "a": "False" }, { "q": "Suppose -13*p = -0*p - 2142520 - 3366399. Is p a prime number?", "a": "True" }, { "q": "Let b be 19*(-98)/(-4)*2. Suppose 13*w = o + 8*w - 17, -5*o - 3*w = -1. Suppose j - b = -3*l, -o*l + 0*j + 620 = j. Is l a composite number?", "a": "False" }, { "q": "Suppose -4*x + s = -x - 780, 4*x - 2*s - 1042 = 0. Suppose 12*t - 13*t + x = 0. Is t composite?", "a": "True" }, { "q": "Let i(j) = 3280*j - 1497. Is i(8) a prime number?", "a": "False" }, { "q": "Let m = -2982 + 3475. Is m prime?", "a": "False" }, { "q": "Let t(o) = 1840*o**3 - 2*o - 1. Let w be t(-1). Let h be 2737 + (-6 - (-12)/4). Let s = w + h. Is s a composite number?", "a": "True" }, { "q": "Suppose 2*m + 44805 = 11*m - 167136. Is m prime?", "a": "True" }, { "q": "Let s(w) = 3*w**2 - 10*w + 5. Let m be s(3). Is (212 + 0 + (6 - 7))*m prime?", "a": "False" }, { "q": "Is ((-36)/20)/(-9) + 539532/15 a composite number?", "a": "False" }, { "q": "Suppose 4250238 = 27*y + 1064697. Is y a composite number?", "a": "True" }, { "q": "Let u be (15/(-20) + -3)*-2380. Suppose 120269 = 26*r - u. Is r a prime number?", "a": "True" }, { "q": "Suppose 155*d = -173*d + 316*d + 832716. Is d composite?", "a": "True" }, { "q": "Let z(a) = 50*a**3 - 2*a**2 + a. Let b be z(-2). Let k = 267 - b. Let r = -104 + k. Is r a prime number?", "a": "False" }, { "q": "Let p = -33 + 29. Let q be ((-4)/(-4))/((p/6)/(-2)). Suppose 2*l + 2*t = q*l - 107, -5*t = -l + 104. Is l composite?", "a": "False" }, { "q": "Suppose 5*l = 4*b - 197123 + 485638, 0 = 4*l + 4*b - 230812. Is l prime?", "a": "False" }, { "q": "Suppose 5*i - 6 = q, -i + 6 = -2*i + 2*q. Suppose -i*z = -15*z + 21047. Is z a composite number?", "a": "False" }, { "q": "Suppose 28*z - 295554 + 85358 = 0. Is z prime?", "a": "True" }, { "q": "Suppose -2*f - a + 457 = 0, 4*f - 15*a = -16*a + 913. Suppose -4*j - 142 = -2*k, 0*k + j = 3*k - f. Is k a composite number?", "a": "True" }, { "q": "Let z(m) = -m**3 + 9*m**2 - 8*m + 8. Let c be z(8). Let j(l) = 778*l + 23. Is j(c) a composite number?", "a": "False" }, { "q": "Suppose 5*n - n = -12, 3*y + 5*n - 9648 = 0. Is y a composite number?", "a": "False" }, { "q": "Let z be (-6208)/(-6) - 11/((-231)/28). Suppose 4*p = -z + 5496. Is p a composite number?", "a": "True" }, { "q": "Suppose -17*l + 65023 = 11*l - 434245. Is l a composite number?", "a": "True" }, { "q": "Is 39484/32*20*(0 + 2) composite?", "a": "True" }, { "q": "Let b = 37 + -38. Let a(z) = -4*z**3 - 2*z**2 - z. Let j be a(b). Suppose -5*m + 147 = 5*p - 283, 5*p + j*m = 424. Is p a composite number?", "a": "False" }, { "q": "Suppose -6*i + 580 = -i. Suppose -3*p + 183 = -66. Let m = i + p. Is m prime?", "a": "True" }, { "q": "Suppose 4*o = -4*i + i + 27450, 5*i = 5*o - 34330. Let l = -4001 + o. Is l prime?", "a": "False" }, { "q": "Let q = -510 + -38. Let f = q + 2345. Is f a composite number?", "a": "True" }, { "q": "Let x be (-13)/(13/60)*1379/21. Let p = x + 6659. Is p a prime number?", "a": "True" }, { "q": "Let f(w) = -2*w**3 + 17*w**2 - 62*w - 3. Let t be f(7). Let l(j) = 7*j**3 + j - 3. Let d be l(3). Let m = d - t. Is m a prime number?", "a": "True" }, { "q": "Suppose -5*p = -11 - 9. Suppose 0 = -4*d + 20, -3*d + 27752 = p*v + d. Suppose -4*c + 1815 = 4*j - v, 2*c - 8756 = -4*j. Is j a composite number?", "a": "True" }, { "q": "Let q(j) = 33*j**2 + 11*j - 12. Let t be q(-11). Suppose 4*r + 3825 = c, 3*r - t = -0*c - c. Suppose 0 = 4*h - 0*p - 5*p - c, 1924 = 2*h - 2*p. Is h composite?", "a": "True" }, { "q": "Suppose -w - 14 + 1 = 5*r, -r = -3*w + 9. Suppose w*x = 2325 + 3893. Is x prime?", "a": "True" }, { "q": "Let l(o) = 10377*o**3 + 9*o**2 - 23*o + 9. Is l(2) a prime number?", "a": "False" }, { "q": "Suppose 145*z = 88*z + 373749. Is z composite?", "a": "True" }, { "q": "Let g(u) = -13*u**2 + 5*u - 5. Let c(t) = 144*t**2 - 56*t + 56. Let n(d) = -5*c(d) - 56*g(d). Let w be n(1). Suppose -w*q + 213 = -307. Is q a prime number?", "a": "False" }, { "q": "Suppose 4*b - 3*f - 726 = 0, -3*b = 2*b + f - 898. Suppose b*k = 181*k - 1689. Is k prime?", "a": "False" }, { "q": "Suppose 148963 = -19*k + 473726 + 312858. Is k composite?", "a": "True" }, { "q": "Suppose -2*d + 84826 = 6*d - 371646. Is d prime?", "a": "True" }, { "q": "Is (-6)/2*(-7 + (-5 - (-181780)/(-12))) a composite number?", "a": "False" }, { "q": "Let b(y) = -7*y - 5. Suppose 0 = -a - 3*r + r + 2, -a = r + 3. Let v = -14 - a. Is b(v) prime?", "a": "True" }, { "q": "Let t(q) = 2*q**2 - 5*q + 5. Let p be t(2). Suppose 0 = -p*x - 0*x. Suppose x = -0*d - d + 299. Is d prime?", "a": "False" }, { "q": "Let c = -14 - -35. Suppose -22 + c = d. Is (2743/(-13))/(1*d) composite?", "a": "False" }, { "q": "Let n(j) = 15*j**2 + 2*j + 13. Let z(k) = 15*k**2 + k + 13. Let c(r) = 9*n(r) - 8*z(r). Suppose 1 = -4*i - 23. Is c(i) a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*t - 5*x + 12, t - x - 4*x - 28 = 0. Let r be (t/(-10))/(22/55). Is (20/(-30))/(r/222) a composite number?", "a": "True" }, { "q": "Suppose -337 = -9*l + 167. Let k = l + -46. Is (1 + (-5)/k)/(2/2540) a composite number?", "a": "True" }, { "q": "Let l(v) = -5*v + 8. Let z(h) = 14*h - 25. Let a(f) = -7*l(f) - 2*z(f). Let s be a(11). Suppose 0 = -6*b - s + 485. Is b prime?", "a": "False" }, { "q": "Suppose 0 = -6*f + 6. Let l be -1 - (-235)/(-5) - f/1. Let x = l - -138. Is x composite?", "a": "False" }, { "q": "Let u = 81726 + 2825. Is u prime?", "a": "True" }, { "q": "Let s = 6 - 2. Suppose 43 = 12*i + 7. Suppose -3092 = -4*x + s*b, 6*b - 2287 = -i*x + b. Is x prime?", "a": "True" }, { "q": "Let q = -14310 + 69413. Is q a prime number?", "a": "True" }, { "q": "Let h = 9 - 102. Let n = h - -124. Is n a composite number?", "a": "False" }, { "q": "Let p = 1090 - 417. Is p prime?", "a": "True" }, { "q": "Let l(u) = 67*u**2 + 111*u + 7. Is l(35) a prime number?", "a": "False" }, { "q": "Suppose 198*f - 41210 = -2*l + 202*f, -5*l - 2*f + 102989 = 0. Is l prime?", "a": "True" }, { "q": "Suppose -u = 16*i - 21*i - 34, u - 3*i = 44. Is u composite?", "a": "False" }, { "q": "Let y(t) be the third derivative of 0*t + 0 + 2*t**2 - 259/24*t**4 + 1/3*t**3. Is y(-3) prime?", "a": "False" }, { "q": "Let t(g) = 148*g - 13. Let l(p) = p**2 - 8*p - 10. Let j be l(8). Let v be ((-4)/j)/(27/(-30) + 1). Is t(v) prime?", "a": "False" }, { "q": "Suppose -8*s + 3*s + 3*k = -38, -27 = -4*s - k. Let y = 6 - s. Is 186/(-12)*(y + -1) composite?", "a": "False" }, { "q": "Let z(b) = 56*b + 275. Let h be z(-5). Suppose 0 = l + 3*l + 144. Is l/90 + (-1057)/h composite?", "a": "False" }, { "q": "Suppose x + 1 = 4*r - 0, 2*x - 2*r - 10 = 0. Suppose 0 = 2*b + x*b - 4905. Is b prime?", "a": "False" }, { "q": "Let c(x) = -x**2 - x + 10. Let w be c(0). Suppose -13165 = w*r - 15*r. Is r a prime number?", "a": "True" }, { "q": "Let c = 145442 - -32273. Is c composite?", "a": "True" }, { "q": "Let y(p) = 154*p + 5. Let k be y(6). Let z = 883 + k. Suppose 0 = -2*a + z - 58. Is a composite?", "a": "False" }, { "q": "Let m be 2/(-4) - (-6 - (-18907)/(-2)). Let p = m - 3880. Is p a prime number?", "a": "False" }, { "q": "Let r(p) = p**3 + 2*p**2 - 2*p - 3. Let w be r(3). Let o be 770/3 + 0 - 2/(-6). Let x = w + o. Is x prime?", "a": "True" }, { "q": "Suppose -3089*h - 6769 = -3090*h. Is h prime?", "a": "False" }, { "q": "Suppose 3*z - 2*b + 0*b = 4, -28 = -3*z - 4*b. Suppose -z*l - 1 = -5, 2*x + 3*l - 83 = 0. Suppose -3*i + x = -38. Is i prime?", "a": "False" }, { "q": "Suppose 28*y + 108 = 37*y. Suppose -y*z + 13*z = 7603. Is z a composite number?", "a": "False" }, { "q": "Suppose -179*u + 8414 = -177*u. Suppose 2159 + u = 6*c. Is c a prime number?", "a": "True" }, { "q": "Let x(v) = v**2 + 10*v + 23. Let g be x(-5). Let s be (-3692)/8*-1 - g/4. Let w = s + -211. Is w composite?", "a": "False" }, { "q": "Let k be (20/(-5) - -3)*-2663. Suppose -3*l = -g - 2070, 5*l - 801 = -3*g + k. Is l a prime number?", "a": "True" }, { "q": "Suppose 3*m + 3*s - 12 = 0, 24 = 4*m + 3*s - s. Suppose -4*j + 0 = -m. Suppose 2*i - j*r = -4*r + 510, 5*i - 2*r - 1247 = 0. Is i prime?", "a": "True" }, { "q": "Let h(n) = 795*n**3 + 3*n**2 - 4. Let w be h(-2). Is (-19 - w)*4/6 a prime number?", "a": "False" }, { "q": "Suppose l + 15 = 6*l. Suppose 0 = 2*d - 4*u - 10, 6*u - l*u - 10 = -2*d. Suppose -2*k - 963 = -d*w - 322, -w - 3*k = -118. Is w a prime number?", "a": "True" }, { "q": "Suppose 5*d - 37*w = -42*w + 25250, 3*d - 15110 = 5*w. Is d prime?", "a": "False" }, { "q": "Suppose -j + 2*s + 5 = 7, 5*j = -4*s + 46. Is 2*2/j*(-701799)/(-46) a prime number?", "a": "False" }, { "q": "Let m = -10 + 20. Suppose -4 = -m*v - 4. Suppose v*z = 2*z - 502. Is z a prime number?", "a": "True" }, { "q": "Let l(g) be the second derivative of 3*g**4/4 + 5*g**3/3 - 13*g**2 - g. Suppose -24*v - 6*v = 330. Is l(v) a composite number?", "a": "False" }, { "q": "Let a(d) = 880*d + 727. Is a(11) a prime number?", "a": "False" }, { "q": "Let f(m) = -4*m + 4. Let h be f(-4). Suppose 0 = -5*b - h, -8 - 2672 = -2*l + 2*b. Suppose l = 5*w + 451. Is w a composite number?", "a": "True" }, { "q": "Let a = -76284 - -139181. Is a a prime number?", "a": "True" }, { "q": "Let h(z) be the third derivative of -3*z**6/5 + z**5/20 + 5*z**4/24 + 5*z**3/6 + 61*z**2. Is h(-3) a prime number?", "a": "False" }, { "q": "Let n(k) be the second derivative of 19*k**6/720 + k**5/40 + 7*k**4/6 + 11*k. Let a(f) be the third derivative of n(f). Is a(16) prime?", "a": "True" }, { "q": "Suppose -54 = -4*h + 18. Is (-196046)/(-30) - h/(-135) prime?", "a": "False" }, { "q": "Suppose -98*v + 6714645 = 7*v. Is v a prime number?", "a": "True" }, { "q": "Suppose -2427584 = -380*r + 316*r. Is r prime?", "a": "False" }, { "q": "Let j(b) = b**3 + 2*b**2 - 3*b + 160. Let l(w) = 2*w**3 + 4*w**2 - 5*w + 319. Let d be (-2 + 5)*(-11)/(-11). Let c(v) = d*l(v) - 5*j(v). Is c(0) composite?", "a": "False" }, { "q": "Is (-2)/1 + 509565/(20 - 15) a composite number?", "a": "True" }, { "q": "Suppose 0 = 2*w - 5*n + 46, -3*w + 3*n - 2*n = 95. Let q = 33 + w. Suppose 5*z + 350 = 4*y, -5*y - 3*z + 419 = -q*y. Is y composite?", "a": "True" }, { "q": "Is (-95881)/((63/(-7))/9) a prime number?", "a": "True" }, { "q": "Let x = -7827 - -18597. Suppose -5*d - 5*t = -x, 5*d - 2622 - 8151 = -2*t. Is d prime?", "a": "False" }, { "q": "Let t(p) = -3*p**3 + 7*p**2 + 5*p**3 - 3*p**3 + 14*p + 6*p**2 + 5. Let u be t(14). Suppose -2*m + u*k = -6*m + 549, 2*m - 2*k - 252 = 0. Is m prime?", "a": "True" }, { "q": "Let l(i) = -i**3 + 51*i**2 + 22*i - 13. Is l(19) composite?", "a": "True" }, { "q": "Suppose -8496 = -4*s + 4*d - 1272, -3*s - 2*d + 5423 = 0. Let n = s + -446. Is n prime?", "a": "True" }, { "q": "Suppose 4 + 14 = -4*o - 2*a, -o = a + 7. Let r(s) = -s**3 + 3*s**2 + 3*s + 1. Let i be r(o). Is 2/5 - (-11259)/i a prime number?", "a": "True" }, { "q": "Suppose 14*s - 38752 = -0*s. Let r = s + -1515. Is r composite?", "a": "True" }, { "q": "Let s be 5 - 2 - -1195 - 6/(-2). Let b = s - -1592. Is 4 + b/6 + (-1)/2 a prime number?", "a": "False" }, { "q": "Let u be ((-1)/1 - -1) + -2 + 4. Suppose 0 = 2*z - u*m - 12312, 3*z - 5*m - 6144 = 2*z. Is z a prime number?", "a": "False" }, { "q": "Suppose -4 = -q - 3*g, g - 12 = -3*q - 3*g. Let l(i) = -i**3 - 14*i**2 + 69*i + 68. Let s be l(-20). Suppose q*m - 1256 = s. Is m prime?", "a": "False" }, { "q": "Suppose -3*d = -3*s - 21, 0 = 3*d + 3*s - 5*s - 19. Suppose -d = c - 7. Is (-9614)/(-14) - c/(-7) - 2 a composite number?", "a": "True" }, { "q": "Let t = -33 + 43. Let i be (2 - 1)/(t/(-460))*-23. Suppose -b = -i + 105. Is b composite?", "a": "False" }, { "q": "Let n(j) = j**3 - 3*j**2 - 2*j**3 + 0*j**3 - 4*j + 9. Let v(p) = -9*p + 182. Let z be v(21). Is n(z) a prime number?", "a": "True" }, { "q": "Suppose 0 = 47*g + 32*g - 657359. Is g composite?", "a": "True" }, { "q": "Suppose 0 = -18*y - 1218942 + 4616496. Is y composite?", "a": "False" }, { "q": "Suppose 3202 = 8*c - 17822. Is c/(-5 + 14) - (-2)/2 prime?", "a": "True" }, { "q": "Suppose 14*g = 1851 + 3175. Let i(u) = 2*u - 8. Let b be i(6). Suppose b*n - g = -51. Is n a composite number?", "a": "True" }, { "q": "Let q(p) = 22*p**2 + 13*p - 12. Let j be q(7). Let v = j - -666. Is v prime?", "a": "True" }, { "q": "Suppose 2*m = 9*m - 33334. Let f = m - 3263. Is f prime?", "a": "True" }, { "q": "Suppose 0 = 23*o - 26*o + 6. Suppose -o*i + 3 = -3*i. Is (-21)/14*758/i prime?", "a": "True" }, { "q": "Let u = 27844 + -14591. Is u a composite number?", "a": "True" }, { "q": "Let l(c) = 40*c - 9. Let j(a) = -a. Let o(n) = 3*j(n) + l(n). Let y be o(2). Is 4/(-10) - (-102921)/y composite?", "a": "False" }, { "q": "Is (-1)/((2110236/(-422046) - -5)*3) composite?", "a": "False" }, { "q": "Is (-57910)/4*(-94)/235 prime?", "a": "True" }, { "q": "Let u be ((-4208)/(-64))/(1/(-28)). Let x = 210 - u. Is x prime?", "a": "False" }, { "q": "Is 41842/(21/((-273)/(-26))) prime?", "a": "True" }, { "q": "Suppose -4544 - 1036 = -15*x. Is (-11)/(5 + x/(-74)) a prime number?", "a": "False" }, { "q": "Suppose 3*b + 14 = 4*x, -2*b = -x - x + 8. Suppose -x*j = -216 - 674. Is j a prime number?", "a": "False" }, { "q": "Let j(h) = -h**3 + 7*h**2 - 2*h - 7. Let p be j(6). Let g(q) = 19*q - 30. Is g(p) a prime number?", "a": "True" }, { "q": "Let z = 10433 - -38892. Suppose 7*a - 2*a = z. Is a prime?", "a": "False" }, { "q": "Suppose 0*n - d - 59251 = -5*n, -n + 11839 = -3*d. Suppose 14*v - n - 33201 = 0. Is v prime?", "a": "False" }, { "q": "Suppose -f + k - 21 = -2*f, -2*f = -2*k - 62. Suppose -402 = f*o - 28*o. Is o*1/(-1 - -4) composite?", "a": "False" }, { "q": "Suppose -1942*d = -1949*d + 357077. Is d composite?", "a": "True" }, { "q": "Let n(j) = -j**2 + 10*j - 1. Let l be n(7). Suppose 7*c + l = 2*c. Is (-1)/(-2)*(252 + c/(-2)) composite?", "a": "False" }, { "q": "Let h = 100657 + 33931. Is h/18 - (-25)/(-225) composite?", "a": "False" }, { "q": "Let g(p) = 9*p**2 + 6*p - 17. Let t be g(9). Suppose -7*a + t + 3021 = 0. Is a a composite number?", "a": "False" }, { "q": "Suppose 3*s + 2*a - 19081 = 0, -3*a + 9141 - 40930 = -5*s. Is s composite?", "a": "False" }, { "q": "Suppose -2*h + 74 = 5*m, 0 = -m + 3*h + 25. Suppose m = -4*o - 0. Is o + (1 - -7) + 207 a composite number?", "a": "False" }, { "q": "Let s(k) = 12224*k + 1691. Is s(22) prime?", "a": "True" }, { "q": "Let p(l) = -8*l**3 - 9*l**2 - 22*l + 10. Let b(x) = -8*x**3 - 9*x**2 - 22*x + 11. Let t(c) = -6*b(c) + 7*p(c). Is t(-3) prime?", "a": "False" }, { "q": "Let z(r) = -4 - 7 + 9 + r. Let q be z(4). Suppose 3*d - 6391 = -5*n, 4*n + q*d - 2234 - 2878 = 0. Is n a composite number?", "a": "False" }, { "q": "Suppose 17*l = 5*l - 132. Let q(j) = -294*j + 115. Is q(l) composite?", "a": "True" }, { "q": "Let f(a) = -68 + 3*a + 8*a + 4*a + 12*a**2. Is f(10) prime?", "a": "False" }, { "q": "Let y(x) be the second derivative of 79*x**5/20 + 7*x**3/6 - x**2/2 - 67*x. Is y(3) a composite number?", "a": "False" }, { "q": "Let w(m) = 37 - 47*m - 24*m + 22 + 16*m. Is w(-6) composite?", "a": "False" }, { "q": "Let g = -78160 + 127071. Is g composite?", "a": "True" }, { "q": "Suppose 3*z + 2*y - 103957 = 0, -3*y - y = -20. Is z composite?", "a": "False" }, { "q": "Let b = -1697 - -5284. Let z = b + -1106. Is z prime?", "a": "False" }, { "q": "Let o(q) = 2*q**2 - q + 25. Let b(d) = -2*d + 16. Let m be b(4). Is o(m) a prime number?", "a": "False" }, { "q": "Let s(l) = 7*l**2 + 10 - 28*l + 8*l**2 + 33*l. Let j be s(8). Suppose 43*t = 45*t - j. Is t a composite number?", "a": "True" }, { "q": "Let z = 170 + 205. Suppose z*y + 439 = 376*y. Is y a prime number?", "a": "True" }, { "q": "Let p(x) = -x**3 - x**2. Let z(h) = -7*h**3 - 20*h**2 + 4*h - 4. Let o(n) = -5*p(n) + z(n). Is o(-9) prime?", "a": "False" }, { "q": "Let q be -33*(1 + -3 - (-2)/(-3)). Let n be q/(-6)*3*-6. Suppose -m + 56 = -0*f + 3*f, 0 = -5*m + f + n. Is m prime?", "a": "True" }, { "q": "Suppose 6*l - 392744 = 200716. Is ((-2)/(-6))/(5/l*6) a prime number?", "a": "False" }, { "q": "Suppose 109821 = -3*f - 3*r, 2*r - 109806 = 5*f - 2*f. Let m be f/36 - (-4)/(-18). Is ((-23)/(-4) - 6) + m/(-4) prime?", "a": "False" }, { "q": "Let m = 113121 - 73558. Is m prime?", "a": "True" }, { "q": "Suppose 253*i + 3314287 = 79*i + 20586049. Is i prime?", "a": "False" }, { "q": "Suppose r = 5*g - g - 347400, 3*g + r - 260557 = 0. Is g prime?", "a": "True" }, { "q": "Let r(k) = -9*k + 2 - 4 - 4 - k**2 - 8. Let y be r(-6). Suppose 5*s = y*s + 751. Is s composite?", "a": "False" }, { "q": "Suppose -5*j - 25545 - 74682 = -i, 5*j + 300721 = 3*i. Is i a prime number?", "a": "False" }, { "q": "Let v(j) = 268*j - 1. Suppose u + 2*m = 6, -4*u = m - 3*m - 14. Suppose 3 = -x + u*x. Is v(x) a prime number?", "a": "False" }, { "q": "Suppose 4*y - 13 = y - 2*w, 4*w + 9 = y. Suppose 0 = -3*o - 4*v + 2231, y*o - 3695 = 3*v - 5*v. Is o composite?", "a": "True" }, { "q": "Suppose 100*n - 4156772 = 32*n. Is n a composite number?", "a": "False" }, { "q": "Let j = 215 + -217. Is (233/(-2))/(1/j) a composite number?", "a": "False" }, { "q": "Let s(a) = 681*a + 8. Let k(g) = 679*g + 8. Let z(f) = 6*k(f) - 5*s(f). Is z(1) prime?", "a": "True" }, { "q": "Let d(a) = -61*a**3 + 6*a - 2. Let m be d(-3). Suppose -5*k = -2*g - 8189, k = -7*g + 2*g + m. Is k prime?", "a": "True" }, { "q": "Suppose 3*t - 5*r = 35331, 221*r = 2*t + 216*r - 23554. Is t a composite number?", "a": "False" }, { "q": "Let t = -10393 + 92672. Is t a composite number?", "a": "False" }, { "q": "Let k(v) = -43212*v - 387. Is k(-4) prime?", "a": "False" }, { "q": "Let x = 103396 + -38895. Is x a composite number?", "a": "True" }, { "q": "Suppose -i = 3*v + 17547 - 100377, 4*v - 2*i - 110450 = 0. Is v a composite number?", "a": "False" }, { "q": "Suppose 10 = -2*k - 5*z, -5*k - z + 0*z - 2 = 0. Suppose k = -4*w - 5 + 9. Is -3*w/3 + 770 prime?", "a": "True" }, { "q": "Let n(g) = -4*g + 66. Let o be n(17). Is (1136/1 - -2)*(-7)/o composite?", "a": "True" }, { "q": "Let p = -15645 + 25091. Is p prime?", "a": "False" }, { "q": "Let y(k) be the second derivative of k**4/12 - 3*k**3/2 + 7*k**2 - 15*k. Let u be y(12). Let p = 15 + u. Is p a composite number?", "a": "True" }, { "q": "Let w = 11 + -7. Let b = -9 + 9. Suppose -4*g = -w*v - 1824, g + 2*v - 441 = -b*g. Is g composite?", "a": "True" }, { "q": "Let a(y) = 2424*y + 7. Let d be a(1). Suppose 23*r - 6*r = d. Is r prime?", "a": "False" }, { "q": "Suppose -10051*t + 276082 = -10049*t. Is t prime?", "a": "True" }, { "q": "Let y be 5 + -1 + 3/(0 + -3). Suppose -5*u + 2*o = -46205, 6742 + 20955 = y*u + 4*o. Is u composite?", "a": "False" }, { "q": "Let f = -5005 - 1838. Is (3 - (f + 3))*3/9 a composite number?", "a": "False" }, { "q": "Let x(a) = -3*a. Let b be x(-5). Suppose 6*r - r = b. Suppose r*z + 22 - 2263 = -3*q, -z + 1498 = 2*q. Is q prime?", "a": "True" }, { "q": "Let y(i) = 1. Let m(p) = -94*p + 5. Let g(k) = -m(k) - 6*y(k). Let h be g(-5). Let s = h - -948. Is s a prime number?", "a": "True" }, { "q": "Suppose -3*h = -2*x + 39, -x + h = -3*h - 17. Suppose x*o + 11034 = 27*o. Is o a prime number?", "a": "False" }, { "q": "Let d(y) = -3*y**2 + y. Let o be d(1). Let h be (-4)/(-8) - (-2025)/o. Let q = 1425 + h. Is q a composite number?", "a": "True" }, { "q": "Let k = 207 - 225. Is (-4113)/k + (-10)/4 prime?", "a": "False" }, { "q": "Let o = 171 + -169. Suppose -o*g + 263 = j, -7*j = -8*j + g + 275. Is j composite?", "a": "False" }, { "q": "Let m(i) = 25 - 15 - 26 + 90*i. Let n(o) = 3*o**2 + 3*o + 1. Let h be n(-2). Is m(h) composite?", "a": "True" }, { "q": "Let t be (-780)/140 - (-1 + (-6)/(-14)). Is -5 - t - (-1 - 8110) prime?", "a": "True" }, { "q": "Let q(x) = 8*x**3 + 7*x**2 - x + 3. Suppose p = -0*p + 5*h + 5, h = -3*p - 17. Let u be q(p). Let j = u - -1288. Is j composite?", "a": "True" }, { "q": "Suppose -41905 + 7865 = -4*a + 42324. Is a prime?", "a": "False" }, { "q": "Let i = -32 - -46. Let h = i - 16. Is h + (-16)/(-4) + 83 prime?", "a": "False" }, { "q": "Let t(p) = -340*p + 61. Let z be t(-9). Suppose -k + z = -426. Is k composite?", "a": "False" }, { "q": "Let y = -198 + 212. Suppose -669 = 11*f - y*f. Is f composite?", "a": "False" }, { "q": "Let n = 65828 - 46575. Is n a composite number?", "a": "True" }, { "q": "Let t(h) = 22*h**2 - 6*h - 233. Is t(38) a prime number?", "a": "True" }, { "q": "Suppose 0 = 4*p - 4*i + 6448, -5*i + 8056 = -5*p - 4*i. Let q = 3286 + p. Suppose g + 4*g = q. Is g composite?", "a": "True" }, { "q": "Let o = -189 - -191. Suppose 2*p + 22128 = 4*q, -o*q = 3*p - 7171 - 3885. Is q a prime number?", "a": "True" }, { "q": "Let y = -18602 - -31395. Is y a prime number?", "a": "False" }, { "q": "Suppose 54*p + 4094 = 104*p - 48*p. Is p prime?", "a": "False" }, { "q": "Let x(f) = 2116*f**2 - 3*f + 2. Let l be x(1). Suppose 0 = 4*w - 7535 + l. Let g = w + -490. Is g composite?", "a": "True" }, { "q": "Let h(s) = -23193*s + 14. Is h(-1) a prime number?", "a": "False" }, { "q": "Let d = 2737 - 1266. Is d a composite number?", "a": "False" }, { "q": "Let y(a) = 343*a**2 + a - 3. Let b(i) = 1027*i**2 + 4*i - 9. Let s(o) = -2*b(o) + 7*y(o). Let u(t) = 2*t**3 + t**2 - 2*t + 1. Let l be u(1). Is s(l) prime?", "a": "False" }, { "q": "Suppose 16*v = 995060 + 319388. Is v prime?", "a": "True" }, { "q": "Let y(z) = 246*z**3 - 18*z**2 + 9*z - 2. Is y(7) composite?", "a": "False" }, { "q": "Suppose 2*a + 814 = 4*f, 0 = f - 3*a - 7 - 184. Let z = 354 - f. Let c = z + -3. Is c composite?", "a": "True" }, { "q": "Suppose 7*x = 2845 - 381. Let o(d) = -11 - 3 + x*d + 0 + 1. Is o(6) a prime number?", "a": "True" }, { "q": "Suppose 0 = -3*n - s + 6, -5*n + 2*s + 12 + 9 = 0. Let q be (-2)/6 + (3769/n - 1). Suppose w = 6*w - q. Is w a composite number?", "a": "False" }, { "q": "Let z(w) = -5*w - 5. Let y be z(-2). Suppose y*x = -b + 21, 4*x - x - 27 = 3*b. Is 165/(-22)*(-38)/x composite?", "a": "True" }, { "q": "Is ((-27076)/70)/(((-12)/(-295))/(-6)) a prime number?", "a": "False" }, { "q": "Suppose 133*o - 134*o + 2491 = 0. Let k = o - 1580. Is k a prime number?", "a": "True" }, { "q": "Suppose 5*h - 23 = 67. Is 1 + 50720/18 + h/81 a composite number?", "a": "False" }, { "q": "Let m(b) = -9*b**3 - 5*b**2 + 2*b + 1. Let a(u) = 8*u**3 + 4*u**2 - u - 2. Let v(y) = -y + 4. Let r be v(0). Let k(c) = r*a(c) + 3*m(c). Is k(3) a prime number?", "a": "False" }, { "q": "Let b(m) = -1725*m - 8. Let i be b(-1). Let g = -635 + i. Is g a composite number?", "a": "True" }, { "q": "Let y = -24 - -27. Suppose m - 2215 = -3*g, -m + y*g = -1739 - 452. Is m prime?", "a": "True" }, { "q": "Let s(w) = -10 + 19 + 6 + 3*w + 2*w**2 - 8*w**3. Is s(-4) prime?", "a": "True" }, { "q": "Is (-1175695)/(-35) - 16/56 a prime number?", "a": "False" }, { "q": "Let h(c) be the first derivative of 13*c**3/3 - 11*c**2 + 8*c - 7. Is h(-7) a prime number?", "a": "False" }, { "q": "Let j(u) = 2*u**2 - 2*u + 3*u - 761 + 4888 + u**3. Is j(0) composite?", "a": "False" }, { "q": "Let q(b) = b**3 + 8*b**2. Let j be q(-8). Suppose 0 = -2*v - 2*w + 2012, j*v - 3*w - 994 = -v. Is v a prime number?", "a": "False" }, { "q": "Let a(d) = -2*d**2 - 6*d + 2. Let w be a(-3). Suppose -2*c - w*l = -6*c + 14, -c + 21 = 3*l. Suppose 15*u = c*u + 1143. Is u a composite number?", "a": "False" }, { "q": "Let c = -205 - 1301. Let t = c - -2497. Is t composite?", "a": "False" }, { "q": "Suppose 5*w + 6 = -3*f + f, -5*w = -4*f - 42. Let k(c) = -4*c**3 - 10*c**2 + 4*c + 3. Is k(f) a composite number?", "a": "True" }, { "q": "Suppose 2*u - 5*g - 2921 = 0, -3*g + 5*g + 7250 = 5*u. Suppose 2*f - u = 4*v + 1030, -5*f + v = -6213. Is f prime?", "a": "False" }, { "q": "Let g(q) = 13 - 6 + 15*q + 6 + 5 + q**2. Let d be g(-14). Suppose d*h - 2*h = 452. Is h composite?", "a": "True" }, { "q": "Suppose 2*l - 2096 - 280 = 5*j, j = 4*l - 486. Let y = j - -959. Is y a composite number?", "a": "True" }, { "q": "Let i(y) = 2*y**2 - 11*y + 17. Let d be (-3 - (-7 + 4))/1. Suppose d = -2*l + 4*l + 18. Is i(l) a prime number?", "a": "False" }, { "q": "Is ((-10)/125*-282845)/(8/20) prime?", "a": "True" }, { "q": "Let v(w) = -34347*w + 124. Is v(-5) composite?", "a": "True" }, { "q": "Let r be 0/((-7)/(-3) + (-13)/39). Suppose 3*l + 3*s - 11370 = r, -14*l + 15*l = s + 3796. Is l composite?", "a": "False" }, { "q": "Suppose 0 = 3*f - x - 46164, -x = -6 + 3. Is f composite?", "a": "True" }, { "q": "Suppose -4*w = -3*k - 6, 0 = 4*k + 9 - 1. Is (12 + -4209)/(-1 + w) composite?", "a": "True" }, { "q": "Let i be (-20 - -1779) + -3 + 2. Let f = 2183 + i. Is f a composite number?", "a": "True" }, { "q": "Let y(d) = -12*d - 167. Is y(-25) composite?", "a": "True" }, { "q": "Let d = 33 + -30. Let p(v) = -5*v**3 + 4*v - 3. Let t be p(d). Is 1 - (33/(-11) + (t - -1)) composite?", "a": "True" }, { "q": "Suppose 261914 = 131*m - 64*m - 65*m. Is m a composite number?", "a": "False" }, { "q": "Let v(c) = -c**3 + 7*c**2 + c - 2. Let w be v(5). Let p = -49 + w. Suppose -3*y + p*y = -2*x + 54, -282 = -5*y - 4*x. Is y a composite number?", "a": "True" }, { "q": "Suppose 2*z - 5*j - 35063 - 67731 = 0, -3*z + 3*j = -154209. Is z a prime number?", "a": "True" }, { "q": "Let n = 37 - 68. Let c = n + 36. Suppose 0 = 2*p - 4*v - 138, 5*v - 115 = c*p - 485. Is p composite?", "a": "False" }, { "q": "Let k(w) = -8*w**2 - w**3 + w + 7*w + w**2 - 19 - 5*w**2. Is k(-13) a prime number?", "a": "False" }, { "q": "Let o be (209/38)/(2/692). Suppose d - 163 = 2*w + 472, -4*w - o = -3*d. Is d prime?", "a": "False" }, { "q": "Is (-10 - (-105)/10)*6686 a prime number?", "a": "True" }, { "q": "Suppose -51 = -10*o - 91. Is (-106276)/(-8) + o/(-8) composite?", "a": "True" }, { "q": "Let b = 18639 - 12080. Is b prime?", "a": "False" }, { "q": "Let a(d) = 182*d**2 + 12*d - 65. Is a(33) prime?", "a": "True" }, { "q": "Let x(q) = 36*q**2 - 5*q - 49. Let t be 7*(1 + -2)/(23/(-46)). Is x(t) a composite number?", "a": "True" }, { "q": "Suppose -430*a - 203206 + 24288 = -432*a. Is a a prime number?", "a": "True" }, { "q": "Let c = -570 + 2881. Suppose -2*h - 3*i + c = 0, 0*i = 5*h + 3*i - 5764. Is h a composite number?", "a": "False" }, { "q": "Let r(s) = 33969*s - 1000. Is r(3) composite?", "a": "False" }, { "q": "Is 46804 + 126/(-441) + (-46)/(-14) a prime number?", "a": "True" }, { "q": "Let t = -5490 + 2669. Let x = -642 - t. Is x composite?", "a": "False" }, { "q": "Suppose -u - 2*w + 24943 = 0, 2*u + 11048 = -2*w + 60934. Is u a prime number?", "a": "True" }, { "q": "Suppose -3*v + 26 + 2 = -r, r = -5*v + 4. Let k = -10 - r. Let s(c) = -c**3 + 8*c**2 + 5*c - 5. Is s(k) prime?", "a": "True" }, { "q": "Let m be 3*1 - (2 - -10). Is ((-3777)/9)/(3/m) prime?", "a": "True" }, { "q": "Let a be -2*2/(-1) + -8567 - 2. Let t = a - -18308. Is t composite?", "a": "False" }, { "q": "Let c(x) = 33*x**2 - 38*x - 77. Is c(-2) a prime number?", "a": "True" }, { "q": "Let s(x) = -65587*x - 469. Is s(-2) composite?", "a": "True" }, { "q": "Let a(t) be the second derivative of -t**3/3 + 13*t**2 - 16*t. Let q be a(9). Suppose 3*r + 4445 = q*r. Is r a prime number?", "a": "False" }, { "q": "Let z(n) = 8*n**3 + 5*n**2 - 36*n + 46. Is z(13) composite?", "a": "True" }, { "q": "Suppose -4*h = w - 15, 2*h - 3*h = -3*w + 84. Suppose 0*v + 5*v = 3*p - 452, -4*v = 2*p - 316. Suppose w*j = 25*j + p. Is j composite?", "a": "True" }, { "q": "Let g(i) = i**3 - 17*i**2 - 11*i - 25. Let l be g(23). Let y = l + -1293. Suppose -5*z = -4838 + y. Is z a composite number?", "a": "False" }, { "q": "Let t(h) = 2*h - 14. Let q be t(7). Suppose -3*n - y + 4*y + 18 = q, -3*n - 3*y = 0. Let c(f) = 9*f**3 - 4*f**2 + 3*f + 1. Is c(n) a prime number?", "a": "False" }, { "q": "Let b = 92477 - 53934. Is b composite?", "a": "False" }, { "q": "Suppose -52*x + 57*x - 464616 = -2*s, -5*s + 1161505 = -5*x. Is s composite?", "a": "False" }, { "q": "Let d = -3404 + 17527. Is d composite?", "a": "True" }, { "q": "Suppose 3*x = 5*z + 7884, 0 = 3*x + 13*z - 12*z - 7902. Is x composite?", "a": "False" }, { "q": "Let w(k) = -k**3 - 7*k**2 + 10*k + 21. Let b be w(-8). Suppose -b*m - 4*p = -10651, -m + 2107 = -7*p + 2*p. Is m a composite number?", "a": "True" }, { "q": "Let x be (0 + 0)*2/(-6). Let w be (2 - (x - 2626)) + 3. Suppose -5*y + w = -2*y. Is y composite?", "a": "False" }, { "q": "Let f = -4191 + 34220. Is f a composite number?", "a": "False" }, { "q": "Suppose 2*h + 3*f = 3*h + 862, -4*f = 4*h + 3448. Let d be 0/(-4) - (-4 - (-1231 - 8)). Let o = h - d. Is o a prime number?", "a": "True" }, { "q": "Let t = 188327 - 119560. Is t a composite number?", "a": "False" }, { "q": "Suppose -3*x + 50685 = -272166. Is x a prime number?", "a": "False" }, { "q": "Let x(q) = q**2 + 51*q + 7991. Is x(0) composite?", "a": "True" }, { "q": "Let f = 63220 + -31921. Is f composite?", "a": "True" }, { "q": "Suppose 3*t = -2*f + 74657, -t + 0*f + 24891 = 2*f. Is t composite?", "a": "True" }, { "q": "Let p(r) be the third derivative of -r**4/8 - 7*r**3/6 - 7*r**2. Let a be p(-3). Suppose 3*o + a*s - 46 = 293, 0 = -o - 4*s + 113. Is o prime?", "a": "True" }, { "q": "Let g(c) = 4*c**2 - 9*c + 6. Let u be g(3). Suppose 9*p - 4*p = u. Suppose -p*r - 8 + 50 = 0. Is r prime?", "a": "False" }, { "q": "Suppose 111*k = 104*k + 84. Is 24/(-144) - (-10790)/k a prime number?", "a": "False" }, { "q": "Let m(x) = -42*x - 31. Let w = -219 + 210. Is m(w) a composite number?", "a": "False" }, { "q": "Suppose 0 = -5*n + n + 2460. Let d = 36 + -182. Let g = n - d. Is g prime?", "a": "True" }, { "q": "Is -105911*(4/(-1) - (-6 + 3)) prime?", "a": "False" }, { "q": "Suppose -8*t + 29347 - 1011 = 0. Suppose 2*l - 16*l = -t. Is l composite?", "a": "True" }, { "q": "Suppose 4 + 8 = 4*h. Suppose -5*n - 2*i = -113, 0 = h*n + 3*i - 32 - 43. Suppose n*u = 16*u + 2905. Is u composite?", "a": "True" }, { "q": "Let r be (-2942)/(-6) + (-2)/(-3). Let l be ((-105)/21)/((-10)/6). Suppose 0 = -4*c - 5*n + r, -n = l*n - 12. Is c composite?", "a": "True" }, { "q": "Let p = 13 + 6. Let i(o) = 97*o + 39. Is i(p) a prime number?", "a": "False" }, { "q": "Let y = 27 - 27. Suppose -3*x - 3 = 0, 2*l + x - 3155 = -y*l. Suppose 3*s - l = -3*s. Is s a composite number?", "a": "False" }, { "q": "Let k(n) = 3759*n + 4. Let y be k(-4). Let i = -6885 - y. Is i a prime number?", "a": "True" }, { "q": "Suppose -19*r = -20*r + 4456. Suppose r = -7*w + 15*w. Is w a prime number?", "a": "True" }, { "q": "Let g = -111 - -118. Is g + -2 + -3 + 4735 a composite number?", "a": "True" }, { "q": "Suppose 9*n - 13*n + 782547 = 211151. Is n composite?", "a": "True" }, { "q": "Suppose -2*u = 2*z + 10, 0 = -0*z - 2*z - 10. Suppose -2*j + 16175 + 2639 = u. Is j a prime number?", "a": "False" }, { "q": "Suppose -3*t = -4*j + 34711, 2*j + 141*t - 17358 = 145*t. Is j composite?", "a": "False" }, { "q": "Let o be (-2)/(-11) - (-420)/110. Is (-4 - 3 - -3)*(-1363)/o a composite number?", "a": "True" }, { "q": "Let a(h) be the first derivative of 7*h**3/3 + h**2 - 27*h - 13. Let i be a(-11). Suppose -11*b + 5*b + i = 0. Is b composite?", "a": "True" }, { "q": "Suppose -2*m - 3 = -z, -5*z + 0*z + 5*m - 5 = 0. Is (z - -1) + (-14 - -3181) composite?", "a": "False" }, { "q": "Let u be (747/(-6) - 4)*-2. Let w = u + -1895. Let g = -749 - w. Is g a composite number?", "a": "True" }, { "q": "Suppose -2*z = -0*z - 4*c + 16, 5*z + 5*c = -25. Is 3/6 + 3/z + 649 a prime number?", "a": "False" }, { "q": "Is (1277316/180)/(3/5) prime?", "a": "True" }, { "q": "Suppose -5*n = 2*s - 1304, 0 = 2*n - 5*s - 30 - 480. Suppose n - 32 = 4*r. Suppose 2*p - 126 = -0*f - 2*f, f = 5*p + r. Is f composite?", "a": "True" }, { "q": "Suppose 5*i - l - 105839 = 0, 5*i + l - 105819 = -3*l. Is i prime?", "a": "False" }, { "q": "Let s(w) = -5*w**3 - 10*w**2 - 5*w - 1. Let o(f) = -f**3 - 12*f**2 - 9*f + 13. Let n be o(-11). Is s(n) prime?", "a": "True" }, { "q": "Let p = -5 - -5. Let s be 4/18 + (-5695)/(-9) - p. Suppose 2*i = -i + s. Is i a composite number?", "a": "False" }, { "q": "Suppose i + a - 129544 = 65238, -389534 = -2*i + 4*a. Is i composite?", "a": "True" }, { "q": "Let h = 373772 - 222945. Is h composite?", "a": "False" }, { "q": "Suppose 0 = -0*v - 72*v + 5231880. Is v a prime number?", "a": "False" }, { "q": "Let d = -4887 + 5000. Is d prime?", "a": "True" }, { "q": "Let a(c) = 11*c - 1. Let r be a(1). Let b = -1459 - -1464. Suppose -b*m - 3595 = -r*m. Is m a composite number?", "a": "False" }, { "q": "Let h(l) = -173*l + 1277. Is h(0) composite?", "a": "False" }, { "q": "Let f(c) = 3*c + 78. Let r be f(-25). Suppose 0*b - 3*b = -3*h - 13875, 3*b + r*h = 13851. Is b composite?", "a": "False" }, { "q": "Let c(h) = -h + 7. Let q be c(9). Suppose 2294 = -4*x + 238. Is q*x*(-2)/(-8) a composite number?", "a": "False" }, { "q": "Suppose 2 - 54 = c. Let s = 89 - c. Suppose -s - 914 = -i. Is i composite?", "a": "True" }, { "q": "Let o = 4552 - 2603. Is o prime?", "a": "True" }, { "q": "Let c be (-32 + 17)/((-6)/2764). Suppose -2*j = -10*v + 13*v - 6926, v + c = 2*j. Is j composite?", "a": "False" }, { "q": "Suppose x + 0*x + 3*q = -7, q = 2*x. Let s be 23 - x*6/(-2). Let w(n) = 68*n + 13. Is w(s) composite?", "a": "False" }, { "q": "Suppose -2*q = w - q - 3505, -4*q = 3*w - 10517. Suppose 5*g - w - 1177 = 0. Suppose 4*x = y + g, 3*x = 4*x - 3*y - 223. Is x prime?", "a": "False" }, { "q": "Suppose 0 = 5*l - 255329 + 61494. Is l composite?", "a": "False" }, { "q": "Suppose -40154 - 277498 = -12*q. Is q a prime number?", "a": "False" }, { "q": "Let f(b) = -b**2 - 8*b + 22. Let c be f(-9). Let j = 15 - c. Let g(q) = 89*q**3 + q**2 - q - 1. Is g(j) composite?", "a": "True" }, { "q": "Let n = 5935 - 3722. Is n composite?", "a": "False" }, { "q": "Let c(f) = 14*f**2 - f - 26. Let a(q) = -q**3 + 2*q - 12. Let u be a(-3). Is c(u) a composite number?", "a": "True" }, { "q": "Let y(q) = 5*q**3 - 13*q**2 + 6*q - 67. Is y(29) a composite number?", "a": "False" }, { "q": "Is (-27545)/(-2) + (-720)/480 a composite number?", "a": "True" }, { "q": "Is 2/1 - 23981/(-2 - (-7 - -6)) a composite number?", "a": "True" }, { "q": "Suppose -3*r = -5*b + 205376, 16*b - 19*b + 5*r = -123216. Is b a composite number?", "a": "False" }, { "q": "Let u(t) = 436*t**2 - 57*t + 316. Is u(15) a composite number?", "a": "False" }, { "q": "Let h(i) = -4*i**3 + 6*i**2 + 2*i + 6. Let v be h(-6). Suppose -v = l - 3295. Suppose 5*t = -3*q + 5501, 2*t - l = 4*q - 31. Is t a composite number?", "a": "True" }, { "q": "Let q(g) = -2*g**2 - 12*g + 7. Let u be q(-6). Let o be -1*(4 + -5)*u. Let h(s) = 10*s**2 - 2*s + 3. Is h(o) a prime number?", "a": "True" }, { "q": "Is 4617655/5*(-5 + 60/10) a prime number?", "a": "False" }, { "q": "Let d(u) = -3*u**2 + 44*u + 4721. Is d(0) composite?", "a": "False" }, { "q": "Suppose -a - 4*i = -5*a + 1158628, -2*i = 4*a - 1158628. Is a prime?", "a": "True" }, { "q": "Suppose -105*v - 112*v = -194*v - 1154002. Is v a composite number?", "a": "True" }, { "q": "Suppose 3*c + q = 2*q + 41, -4*c + 2*q = -54. Suppose c*d = 5*d + 6381. Is d a composite number?", "a": "False" }, { "q": "Let l = 44043 - 30578. Is l composite?", "a": "True" }, { "q": "Suppose -3*v = -3, 2*c + 5*v - 18 = c. Let n(f) = 52*f + 15. Let i be n(c). Is 4/(-144)*-8 - i/(-9) prime?", "a": "False" }, { "q": "Let s be 7 + -5 + (-17)/(-2)*6. Suppose -s*b - 21292 = -57*b. Is b prime?", "a": "True" }, { "q": "Let o = 50 + -50. Suppose o*a = -a + 2. Suppose -5*d + 5*p + 3744 + 526 = 0, -3386 = -4*d - a*p. Is d composite?", "a": "True" }, { "q": "Suppose 4*n = -3*w + 23153, -2*n + 0*w - 5*w = -11587. Let r = n - 897. Is r prime?", "a": "True" }, { "q": "Let x(u) be the third derivative of 11*u**6/8 - u**5/15 + 7*u**4/24 - 5*u**3/6 - u**2. Suppose 0 = -7*z - 71 + 85. Is x(z) a prime number?", "a": "False" }, { "q": "Let t(d) = -66*d + 13. Let s be (-7)/(21/(-20))*-3. Let l = s + 14. Is t(l) a composite number?", "a": "False" }, { "q": "Suppose 3*m + 2*s - 18 = 5*m, m - 3 = -5*s. Let b = -7 - m. Suppose 3*u = -2*l + 491, b = -2*u + 3*u - 2*l - 161. Is u composite?", "a": "False" }, { "q": "Suppose 5*i - 4*h - 261799 = -7*h, 0 = i + 5*h - 52351. Is i prime?", "a": "True" }, { "q": "Suppose 5*l = -4*l + 100422. Suppose 5*f - l = -g, 2*g + g + 6684 = 3*f. Is f composite?", "a": "True" }, { "q": "Let k(q) = 393*q**2 + 2*q + 7. Let g be k(6). Suppose c + 30*x - 25*x - 4701 = 0, -3*c + x + g = 0. Is c a prime number?", "a": "True" }, { "q": "Suppose 2*p - 3412 = -f + 19041, 2*p - 112281 = -5*f. Is f a prime number?", "a": "False" }, { "q": "Let f be 6079 - (-2 - (-3 - 3)). Suppose -1079 = -14*z + f. Is z composite?", "a": "True" }, { "q": "Let h = -71177 - -194334. Is h a prime number?", "a": "False" }, { "q": "Let l(m) = -1842*m - 1767. Is l(-13) a composite number?", "a": "True" }, { "q": "Suppose -u + 2*r - 6 = 0, -u - r = -2*r + 6. Let j = u + 15. Is 1/((1 - 1) + j/99) composite?", "a": "False" }, { "q": "Let p(h) = -h - 6*h + h**3 + 69 + 21*h**2 - 44 - 36. Is p(-18) a composite number?", "a": "False" }, { "q": "Let v(i) be the first derivative of 91*i**3/3 - 5*i**2 + 18*i + 8. Is v(5) composite?", "a": "False" }, { "q": "Let i = -4 + 6. Suppose -i*u + j = 125, 0*u - 2*u - 113 = -5*j. Let s = 203 - u. Is s a prime number?", "a": "False" }, { "q": "Is ((-4)/(-3))/((-73)/(-438)) - -12191 prime?", "a": "False" }, { "q": "Let s(n) = -6729*n + 3. Let y be s(-3). Suppose 11*b = 5*b + y. Is b a prime number?", "a": "False" }, { "q": "Suppose -4*z + 253 = 5*f + 13, f - 59 = -3*z. Let y = f - 40. Suppose y*k = 2*k + 706. Is k a composite number?", "a": "False" }, { "q": "Suppose 3785 = 3*g + 587. Suppose -2*w - 2*w + g = -3*b, -5*b - 794 = -3*w. Suppose 4*r + h = 4*h + w, h = r - 67. Is r a composite number?", "a": "False" }, { "q": "Let f be 133/(-49) + (-2)/7 - 27. Let b be ((-4 - -7) + 1)*f/(-4). Suppose i - 3*i = -b. Is i a prime number?", "a": "False" }, { "q": "Let k(m) = 196*m**2 - 3*m - 24. Let d be k(-5). Suppose 0 = -2*b + 3*b + 3*q - d, 5*b + q - 24427 = 0. Is b a prime number?", "a": "False" }, { "q": "Let j(t) = 20*t**2 - 501*t - 109. Is j(60) prime?", "a": "False" }, { "q": "Let p = -41858 + 63739. Is p a composite number?", "a": "False" }, { "q": "Let c(o) be the first derivative of 47*o**4/4 - o**3/3 - 2*o**2 + o - 8. Is c(3) prime?", "a": "True" }, { "q": "Let h be (-1)/(-1 + 10) - 6547136/(-288). Suppose 11*z - h = 39604. Is z composite?", "a": "True" }, { "q": "Let a be 1/(-4) + (-5)/(-20) + 3. Suppose 3*g - a*f - 921 = 0, 5*g = 3*f - 7*f + 1490. Suppose -4*v + 158 = -g. Is v a composite number?", "a": "True" }, { "q": "Let g be (-398)/4 - ((-42)/12 - -4). Let q(h) = 5*h**2 + 12*h - 2. Let n be q(-11). Let c = n + g. Is c a prime number?", "a": "False" }, { "q": "Let x(f) = 705*f**2 + 6*f + 1. Let o be x(4). Let r = o - 2089. Suppose 4*p + 4*n - r = 0, n - 11449 + 2218 = -4*p. Is p prime?", "a": "True" }, { "q": "Let v(w) = -2*w**2 + 15*w - 4. Suppose 7 + 16 = 3*j + 2*n, j - n - 6 = 0. Let p be v(j). Is p*(-5)/15*(-1 - 78) a composite number?", "a": "False" }, { "q": "Let q(c) be the second derivative of 0 + 89/2*c**3 - 7/2*c**2 - c. Is q(4) prime?", "a": "True" }, { "q": "Let h(t) = 2*t - 10. Suppose -4*f - 3*f + 42 = 0. Let n be h(f). Is n*(4 + (-537)/(-6)) composite?", "a": "True" }, { "q": "Let i = -215 + 756. Is i prime?", "a": "True" }, { "q": "Let n(z) = 285*z**2 - 3*z - 79. Is n(-11) a prime number?", "a": "True" }, { "q": "Suppose 17 = -6*m + 4*m - f, 0 = -5*m - 3*f - 44. Let p = 25 + m. Is (-91)/(-3) + 12/p composite?", "a": "False" }, { "q": "Let f = 108957 - 70784. Is f composite?", "a": "True" }, { "q": "Suppose r = 2*r - 9. Suppose 4 = 4*f, v - 2*v - f = r. Let z = 23 + v. Is z a prime number?", "a": "True" }, { "q": "Let c(f) = 155611*f**2 + 7*f - 9. Is c(1) a composite number?", "a": "False" }, { "q": "Suppose 2*l + 5*d - 60748 = 0, -4*l + 88088 + 33408 = 3*d. Is l a composite number?", "a": "True" }, { "q": "Let o(u) = 50*u + 20. Let l be o(4). Let a be (9/5)/(4/l). Let x = a - 42. Is x a prime number?", "a": "False" }, { "q": "Suppose 66 = 22*f - 44. Let n = 225 - 77. Suppose -f*v + 22 + n = 0. Is v prime?", "a": "False" }, { "q": "Let a(m) = m**3 - 5*m**2 - 4*m - 12. Let j be a(6). Suppose j = -16*u + 20*u - 6604. Is u a prime number?", "a": "False" }, { "q": "Let m = -136 + 136. Suppose m = 3*x - 15, -2*x + 15 = -4*f + 3025. Is f a prime number?", "a": "False" }, { "q": "Let h(f) = 7*f**3 + 9*f**2 - 14*f - 9. Let z be h(12). Suppose 4*t - 17620 = -2*c - 2*c, 3*t - z = 4*c. Is t prime?", "a": "False" }, { "q": "Suppose -c - 3*c = 4*t - 350192, 0 = -4*t - 2*c + 350198. Is t a composite number?", "a": "True" }, { "q": "Let o = 111844 - 74447. Is o prime?", "a": "True" }, { "q": "Suppose 0 = 3989*o - 3976*o - 769093. Is o a prime number?", "a": "False" }, { "q": "Let p(d) = d**2 + 69*d + 66. Let q be p(-28). Let r(t) = -68*t**2 - t + 4. Let c be r(3). Let a = c - q. Is a a composite number?", "a": "True" }, { "q": "Let b be (-6)/(-10) - (-9154)/10 - 3. Let y = b - 126. Is y a prime number?", "a": "True" }, { "q": "Let y = 10481 + 2906. Is y a prime number?", "a": "False" }, { "q": "Suppose 3*i - 5*f = 22309, -7*i - 7408 = -8*i - 4*f. Suppose 9*l + 1119 = i. Is l prime?", "a": "True" }, { "q": "Let f(k) = 1082*k + 17. Let c = -222 - -225. Is f(c) prime?", "a": "False" }, { "q": "Let g(m) = 33*m**2 - m + 3. Let f be g(6). Let s(d) = -23*d + 100. Let a be s(4). Suppose t = -3*t + a, -4*t = o - f. Is o prime?", "a": "False" }, { "q": "Let h(q) = 170*q + 77 + 188*q + 56*q. Is h(5) composite?", "a": "True" }, { "q": "Let p(q) = 1813*q - 2122. Is p(41) prime?", "a": "True" }, { "q": "Suppose -59*v + 37933291 = 126*v + 24*v. Is v a prime number?", "a": "True" }, { "q": "Let t(s) = s**3 - 18*s**2 + 19*s - 20. Let c be t(17). Let i be 1572/c*(5 + -4 + 6). Suppose -5*g - 334 = -d, -3*d + i = -4*g - 205. Is d a prime number?", "a": "False" }, { "q": "Let t(f) = 392*f + 1. Let q = -19 - -29. Suppose -q*v + 13*v - 6 = 0. Is t(v) prime?", "a": "False" }, { "q": "Is ((-10)/6 - -1)/((-304)/2076168) a prime number?", "a": "False" }, { "q": "Let q = 1 - -1. Suppose h + 14 = q*h. Is -55*(-183)/21 + (-4)/h a prime number?", "a": "True" }, { "q": "Suppose -2*m + 104*j + 14554 = 107*j, 0 = -3*m - 2*j + 21841. Is m a composite number?", "a": "False" }, { "q": "Suppose 10 = 2*p + 3*k - 5, 3*p - 5*k - 13 = 0. Suppose g + 5*l = p*g + 75, 4*l = -4*g - 20. Is g/(-30) + (-380)/(-3) prime?", "a": "True" }, { "q": "Suppose -5 = -6*r + 7. Suppose -2*q - 2*q - 6 = -2*f, 0 = -r*q - 2*f. Let t(l) = 35*l**2 + 2*l + 1. Is t(q) a composite number?", "a": "True" }, { "q": "Suppose 3*z + 3305 = 2*m, -15*m + 3308 = -13*m - 2*z. Is m composite?", "a": "False" }, { "q": "Is ((-97098)/14)/(3*5/(-105)) a prime number?", "a": "False" }, { "q": "Suppose 0*p + 2*p = 6. Suppose p*o + 48 = n - 8, -4*o + 12 = 0. Suppose -5*q = 5*x - 265, 2*x + 4*q - 37 = n. Is x a composite number?", "a": "True" }, { "q": "Let k be (-2 + 164/3)/(12/3204). Let r = k + -4121. Is r prime?", "a": "True" }, { "q": "Suppose -126 = u - 15*u. Suppose -u*g + 8934 = -6*g. Is g composite?", "a": "True" }, { "q": "Suppose 3*g + 277*r - 215295 = 281*r, r = 2*g - 143525. Is g a composite number?", "a": "False" }, { "q": "Let h(r) be the first derivative of 147*r**2 - 13*r + 5. Is h(3) composite?", "a": "True" }, { "q": "Let w be 17416/(-35)*(-50)/4. Let q = -2263 + w. Is q composite?", "a": "True" }, { "q": "Suppose -5*b = -v + 81797, v = 3*b + 32092 + 49705. Is v composite?", "a": "True" }, { "q": "Let f(m) = 1601*m - 7. Let x be f(6). Suppose -x = -19*c + 13448. Is c composite?", "a": "False" }, { "q": "Let k(q) = 43*q + 7. Let b be k(2). Let p = b + -132. Let a = 52 + p. Is a composite?", "a": "False" }, { "q": "Let d be (-18)/(6*(-5)/20). Let s be 2 + (-28)/d + 10430/6. Is (2/(-4))/(3475/s + -2) composite?", "a": "True" }, { "q": "Suppose 104173 = 2*a - 5*t, -51992 = 3*a - 5*t - 208264. Is a composite?", "a": "True" }, { "q": "Let z = -230 + 208. Is ((-825)/z)/15*16444/10 a prime number?", "a": "True" }, { "q": "Suppose u - 6710 = -d, 0 = 2*u - d - 15186 + 1751. Suppose -u = -13*g + 8*g. Is g a prime number?", "a": "False" }, { "q": "Let h = 337 - 229. Let t = h + 547. Is t composite?", "a": "True" }, { "q": "Suppose 0 = -o + 7*o + 1002. Let w = o + 382. Is w a prime number?", "a": "False" }, { "q": "Suppose 4*i - 8*i - 5*c = -58653, -c + 1 = 0. Let d = i + -8465. Is d prime?", "a": "True" }, { "q": "Let b(o) = o**3 + 2*o + 1039. Suppose 6*z + 5*t - 20 = 2*z, 0 = 3*t - 12. Is b(z) a prime number?", "a": "True" }, { "q": "Let w(d) = 11*d + 9. Let v be w(3). Let s = 46 - v. Suppose s*a + 5*i - 9240 = -1064, 5*a + 2*i = 10203. Is a a composite number?", "a": "False" }, { "q": "Let n be -2*-4*9*(-8)/(-288). Let a = 241 + 260. Suppose 0 = q - 2*h - 347, -528 - a = -3*q + n*h. Is q a composite number?", "a": "True" }, { "q": "Suppose -2*m + 254 = -4*c, 0*c + 4*c + 389 = 3*m. Suppose 14*n = n - 6942. Let g = m - n. Is g composite?", "a": "True" }, { "q": "Suppose -16 = 11*b - 71. Suppose b*c - 6618 = 6787. Is c composite?", "a": "True" }, { "q": "Let t = -17 + 12. Let l(i) = 4*i**2 + 5. Let m(z) = -z**2. Let g(w) = l(w) + 2*m(w). Is g(t) composite?", "a": "True" }, { "q": "Let b = 5 + -11. Let x(q) = 13 + 6 + 6 + 2 + q. Is x(b) a prime number?", "a": "False" }, { "q": "Let u = -34 - -32. Let n be (-3)/(-2) + (-1)/u. Suppose 5*p - 44 = 3*w, n*w - 16 - 28 = -4*p. Is p a composite number?", "a": "True" }, { "q": "Let n(m) = -901*m - 178. Let a(g) = 450*g + 88. Let x(s) = -5*a(s) - 3*n(s). Is x(11) composite?", "a": "False" }, { "q": "Suppose -3*g + 2*g = 9470. Is (-1)/(((-6)/g)/(-3) + 0) a composite number?", "a": "True" }, { "q": "Let d be (2 - 31)*1 + 0 + -1. Let c be d/(-20) + (-3)/(-2). Suppose 5*l - 231 = -5*m + 2*m, 5*l + 261 = c*m. Is m composite?", "a": "True" }, { "q": "Suppose 15*l - 113 = 187. Is l/(-30) + (-3572)/(-3) + -3 a prime number?", "a": "True" }, { "q": "Let o(j) = -j - 12. Let c be o(-13). Is ((-14175)/(-20) - (-5)/20)*c a composite number?", "a": "False" }, { "q": "Let l = -37 - -40. Suppose -l*r + r + 6326 = 0. Is r a composite number?", "a": "False" }, { "q": "Let f(k) = 2*k**2 - 9*k - 3. Let u be 10*((-2)/(-28) + (-6)/(-14)). Let b be f(u). Suppose 2*i = -b*z + 1418 - 450, 2*i - 950 = 4*z. Is i composite?", "a": "True" }, { "q": "Let b(k) = -140*k**2 + 3*k + 4. Let x be b(-3). Let n = x + 1938. Suppose m + 0*m = n. Is m a composite number?", "a": "False" }, { "q": "Suppose -7*g = 20 - 34. Suppose -g*s + 1728 = 4*b, -860 = -2*b - s + 2*s. Is b a composite number?", "a": "False" }, { "q": "Let d(w) = w**3 - 25*w**2 + 22*w + 30. Let r be d(24). Is r/(3 + -6) + 3487 a composite number?", "a": "True" }, { "q": "Suppose 4*b - 51*b - 1666655 = -12313236. Is b composite?", "a": "True" }, { "q": "Suppose -d = 6*d - 147. Is (-14)/d - (-48802)/6 a prime number?", "a": "False" }, { "q": "Is (16787 + -6)*1/(0 - -1) prime?", "a": "False" }, { "q": "Let f = -89 - -92. Suppose f*m = -4*h + 8404, 0*m - m = 3*h - 6303. Is h a composite number?", "a": "True" }, { "q": "Let p(l) be the third derivative of l**6/120 + l**5/3 + 19*l**4/24 - 17*l**3/2 - 54*l**2. Is p(-17) composite?", "a": "True" }, { "q": "Let l be (36/(-30))/((-1)/15). Let s be (-4)/10 - (-324)/10. Let f = s - l. Is f a prime number?", "a": "False" }, { "q": "Suppose 67*h = -96*h + 6241654 + 2982679. Is h a composite number?", "a": "False" }, { "q": "Is (23 - 1)*(258867/42 - 23) a composite number?", "a": "True" }, { "q": "Let p(k) = 83*k. Let q = 87 + -82. Is p(q) a prime number?", "a": "False" }, { "q": "Let u = -1793 - -1788. Let l(o) = -4*o**3 + 10*o**2 + 2*o - 3. Let r(b) = 9*b**3 - 21*b**2 - 5*b + 5. Let v(h) = -13*l(h) - 6*r(h). Is v(u) a prime number?", "a": "True" }, { "q": "Let j(k) = 13*k**2 - 38*k - 67. Is j(42) prime?", "a": "True" }, { "q": "Suppose 5*v + 3*q - 57 = 0, -2*v - v + 2*q = -19. Let n be 6/v - (1 - (-2512)/(-3)). Let g = 1652 - n. Is g composite?", "a": "True" }, { "q": "Let g be 56/(1 - -3) - (2 - 1). Suppose p = -g*p + 21490. Is p a composite number?", "a": "True" }, { "q": "Let j(d) = -d**3 - 12*d**2 + 6*d + 9. Let c be j(-13). Suppose c = 8*q - 10*q. Let m = -31 - q. Is m a composite number?", "a": "False" }, { "q": "Let v(l) = -29*l**2 + 24*l + 21. Let r(d) = -d**3 - d + 1. Let f(t) = -r(t) + v(t). Is f(29) prime?", "a": "False" }, { "q": "Is 240/560 + (-237094)/(-7) composite?", "a": "False" }, { "q": "Suppose 114*x + 34*x - 170348 = 0. Is x composite?", "a": "False" }, { "q": "Let c(r) = 656*r**2 - 18*r + 3. Is c(4) composite?", "a": "False" }, { "q": "Suppose -96*x - 8926 = -98*x. Suppose 3*c = -362 + x. Is c prime?", "a": "True" }, { "q": "Let k be (1 + 0)/(((-77)/21)/(-11)). Suppose -5*g + k*q + 637 = -4*g, 3157 = 5*g - q. Is g prime?", "a": "True" }, { "q": "Suppose -5*y = d - 73103, d = -d - 4. Suppose 2*f = 5*x + 3853, 5*f + 2*x + 4945 = y. Is f a prime number?", "a": "False" }, { "q": "Suppose 0 = -2*r - 4*b + 20, -5*r - 5*b = -7*b - 2. Is 20/(-40) + 1 + 1909/r a prime number?", "a": "False" }, { "q": "Let i(y) = 65*y**2. Let v(z) = -z**3 + 4*z**2 - 2*z - 1. Let h be v(3). Let f be i(h). Is 4*(-4)/8 + f + -1 composite?", "a": "False" }, { "q": "Suppose -65*v + 688856 - 242567 = -934246. Is v prime?", "a": "False" }, { "q": "Let q(y) = -2521*y - 419. Is q(-12) a prime number?", "a": "True" }, { "q": "Let s = 9 - 7. Let g(l) = 3*l - 15. Let v be g(5). Suppose 0 = -s*h - 2*f + 1176, -2*h = -2*f - v*f - 1172. Is h prime?", "a": "True" }, { "q": "Let z(h) = -443*h**3 + 2*h + 1. Let w = -6 - -5. Let k be z(w). Suppose -k = -3*l + l. Is l composite?", "a": "True" }, { "q": "Let a(l) = l**3 - 21*l**2 + 37*l + 7. Let w be a(19). Is (5438/w)/((-7)/42) a prime number?", "a": "True" }, { "q": "Suppose -5*l + 27323 = -4*t - 18250, -2*t - 45569 = -5*l. Is l composite?", "a": "True" }, { "q": "Suppose -6*f + 12*f - 24 = 0. Suppose -883 = -f*v + 453. Suppose 5*m - v = 4*m. Is m composite?", "a": "True" }, { "q": "Suppose -59*o + 362256 = -2929954 - 555357. Is o prime?", "a": "True" }, { "q": "Is ((-92390)/15)/(6/(-10) - (-424)/840) prime?", "a": "False" }, { "q": "Suppose 0 = 6*d + 333 + 1203. Let a = -133 - d. Is a a composite number?", "a": "True" }, { "q": "Let g(c) = 0 + c**2 + 1 + 6*c**3 - 5*c - 6 - 6. Suppose -10*z + 45 = -z. Is g(z) prime?", "a": "True" }, { "q": "Let n = 519802 + -131099. Is n prime?", "a": "False" }, { "q": "Let i(m) = 48*m**2 + 9*m + 4. Suppose -4*r + 5*v - 7 = 0, 5*v = -4*r + 2*r - 11. Is i(r) prime?", "a": "True" }, { "q": "Let c(u) = 4*u**3 - 5*u**2 + 2. Let v be c(2). Suppose -4*f + 2176 = 40. Suppose 4*t - 6 = v, -2*w + f = 4*t. Is w a prime number?", "a": "True" }, { "q": "Let q = 98 + 32. Let s = q - -442. Let m = 877 - s. Is m composite?", "a": "True" }, { "q": "Suppose 4*c = -3*u + 4*u - 329, 4*c + 5*u = -299. Let a = c - -1244. Is a prime?", "a": "True" }, { "q": "Is (4921/518)/(1/4358) composite?", "a": "True" }, { "q": "Let a = -217 + 221. Suppose 4*b - 3*k + a*k = 3872, 0 = -b - k + 971. Is b prime?", "a": "True" }, { "q": "Let b(s) = -s**2 + 52*s - 25. Suppose 2*i + 64 = 4*l + 3*i, 2*l + 5*i = 32. Is b(l) prime?", "a": "False" }, { "q": "Suppose y - 4 = -13*d + 11*d, -4*y - d + 16 = 0. Is ((-3646)/(-12))/(y/24) composite?", "a": "False" }, { "q": "Suppose 2*q - 176 = 6*q. Let u be 2/q*4 - 476/44. Let a(y) = y**3 + 14*y**2 - 8*y - 6. Is a(u) composite?", "a": "True" }, { "q": "Let w(t) = 4*t**2 + 6*t + 73. Suppose 97 - 120 = c. Is w(c) prime?", "a": "False" }, { "q": "Let i be 747/2*(-8 + (-130)/(-15)). Let j = i - 196. Is j prime?", "a": "True" }, { "q": "Suppose h + 294*o = 292*o + 10237, 0 = -3*o - 15. Is h a prime number?", "a": "True" }, { "q": "Suppose -32313 = -4*u - 11133. Suppose 4*a + 4*z - 5652 = 1404, 0 = -3*a - 4*z + u. Is a a composite number?", "a": "True" }, { "q": "Let z = -31 + 33. Suppose 0 = 4*c - 4, z*u - 4*c + 11 = -c. Is u/(-16) - 2145/(-12) a composite number?", "a": "False" }, { "q": "Let j = -13352 - -19307. Let u = j - 3544. Is u a prime number?", "a": "True" }, { "q": "Let c be (-81 - -6)*14/(-3). Suppose -4*o = 4*k - 3016, -407 = -k - 2*o + c. Is k composite?", "a": "False" }, { "q": "Suppose -14 = -2*f + 2*h, 0*f - 2*h + 21 = 5*f. Is (38514/f)/7 - 6/(-10) prime?", "a": "False" }, { "q": "Let d = 2 - 0. Suppose -i + 8147 = -4*v, -v - 3*v - 16306 = -2*i. Suppose s + i = 5*r - s, -3264 = -d*r + s. Is r a composite number?", "a": "True" }, { "q": "Let g(i) = 2*i**2 + i - 4. Let q be g(2). Suppose q*c + 4*c = 10090. Is c prime?", "a": "True" }, { "q": "Let j(p) = -p**2 + 7*p + 29. Let d be j(9). Suppose -d*f + 23*f - 7764 = 0. Is f composite?", "a": "False" }, { "q": "Let c(z) = -2*z**2 + 2*z + 6. Let i be c(0). Suppose -i*a + 1570 = -512. Is a composite?", "a": "False" }, { "q": "Let v = -22405 + 183134. Is v prime?", "a": "False" }, { "q": "Suppose -p - 2*r - 67 = 117, -2*p = -5*r + 323. Let j be 17/((-693)/p + -4). Let s = 771 - j. Is s prime?", "a": "False" }, { "q": "Let b(z) = -454*z**3 + 2*z + 1. Let l be b(-1). Let f be (30/(-18))/(-5) + (-334)/(-6). Let a = f + l. Is a prime?", "a": "True" }, { "q": "Let h(n) be the second derivative of 23*n**6/360 + n**5/60 - n**4/24 - 3*n**3/2 - 12*n. Let d(s) be the second derivative of h(s). Is d(-2) a prime number?", "a": "False" }, { "q": "Let o = 88126 + -53631. Is o prime?", "a": "False" }, { "q": "Suppose -5*m + 24 = -0*h - h, m = -h. Suppose m*x + 17992 = 63980. Is x a prime number?", "a": "True" }, { "q": "Let k(y) = 8*y**2 + y. Let t be k(1). Suppose -3*w + 31224 = t*w. Is w a prime number?", "a": "False" }, { "q": "Let p = 2173 + -952. Let v = 3014 - p. Is v prime?", "a": "False" }, { "q": "Suppose 4*v - 5*l - 413 = -0*v, -5*v + 2*l + 495 = 0. Let d = 174 - v. Is d composite?", "a": "True" }, { "q": "Let r = -900 - -21331. Is r a prime number?", "a": "True" }, { "q": "Suppose -2*d = -50 - 6. Is (285/30)/(2/d) a composite number?", "a": "True" }, { "q": "Suppose -53*q + 48*q = -44710. Let r = q + -5651. Is r composite?", "a": "True" }, { "q": "Suppose 5*l - 2*o = 2, -1 = -4*o - 5. Suppose 2*w = 134 - l. Suppose -226 + w = -h. Is h composite?", "a": "True" }, { "q": "Let v be 5*(2 + 444/30). Suppose 82*n = v*n - 15310. Is n composite?", "a": "True" }, { "q": "Suppose -o = -2*q - 5*o + 3308, q - 3*o = 1659. Suppose -7*y - q = -14501. Is y prime?", "a": "False" }, { "q": "Suppose -9*t - 37867 + 8977 = 0. Let n = t + 10361. Is n a prime number?", "a": "True" }, { "q": "Let k(i) = 206749*i**3 - 3*i**2 - 2*i + 5. Is k(1) composite?", "a": "False" }, { "q": "Let o(v) = 90*v**2 + v + 2. Let b(y) = 89*y**2 + 3*y + 1. Let i(t) = 3*b(t) - 2*o(t). Is i(-6) composite?", "a": "False" }, { "q": "Suppose -k + 48801 = -8*z + 7*z, -3*z = -5*k + 244001. Is k prime?", "a": "True" }, { "q": "Let g = 134573 - 66690. Is g composite?", "a": "False" }, { "q": "Let v = 246 + 2815. Let o = v + 786. Is o a composite number?", "a": "False" }, { "q": "Let n(t) = -3*t. Let z be n(-10). Suppose z = u - 426. Let h = u + 85. Is h composite?", "a": "False" }, { "q": "Suppose 0 = -6*q + 10*q - 40. Let y(h) = -h**3 + 9*h**2 + 3*h + 12. Let n be y(q). Let u = 0 - n. Is u composite?", "a": "True" }, { "q": "Let t be 33/22 + 1/(-2). Suppose -4*x - t = 3*v - 4, -3*x + v = -12. Suppose -x*u = -4*w - 2*u + 1349, 4*w - 5*u - 1353 = 0. Is w a prime number?", "a": "True" }, { "q": "Suppose -13*x - 3*a + 16 = -11*x, -5 = x - 5*a. Suppose x*t - 7185 = -10*t. Is t prime?", "a": "True" }, { "q": "Let b be (-4112)/((-6)/6*2). Suppose -5*k + b + 464 = d, 525 = k - 4*d. Is k a prime number?", "a": "False" }, { "q": "Suppose 0 = 6*l - 3*l - 1141287. Is l prime?", "a": "False" }, { "q": "Let i(h) = -1590*h + 25. Suppose 0 = 20*z - 2*z + 144. Is i(z) a composite number?", "a": "True" }, { "q": "Suppose 0 = -4*i - 4, -4*i + 1022 + 2854 = 4*t. Let v be (-4)/(-6) + (-4425)/9. Let c = t + v. Is c a composite number?", "a": "False" }, { "q": "Let m(u) = 5*u + 5. Let p be m(-3). Let f = 12 + p. Suppose 5*h - f*h = 2613. Is h composite?", "a": "True" }, { "q": "Let u(r) = 2*r**2 + r + 1. Let d(c) = -26*c**2 + c - 14. Let q(b) = -d(b) - 6*u(b). Is q(17) composite?", "a": "True" }, { "q": "Is ((-329)/14)/(1/(-278)) composite?", "a": "True" }, { "q": "Suppose -4 = j + 4*k + 1, 5*k + 9 = -4*j. Let g be (j - (-3)/5) + (-198)/(-45). Suppose 0 = g*v + 5*c - 749, 2*v - 3*c = 3*v - 182. Is v a composite number?", "a": "False" }, { "q": "Let l(y) be the first derivative of 75*y**2 - 19*y + 9. Let k be l(6). Suppose 0 = t + 2*j - k, -3*j - 3479 - 78 = -4*t. Is t a composite number?", "a": "False" }, { "q": "Let d(m) = -2*m**3 + 11*m**2 - 10*m. Let b be (-1)/(-3)*-6*11/2. Is d(b) composite?", "a": "True" }, { "q": "Suppose -9*o + 174380 = -o - 4*o. Is o prime?", "a": "False" }, { "q": "Let p = -216 + 231. Suppose 2919 = p*x + 474. Is x prime?", "a": "True" }, { "q": "Let u be (1 - (-1172)/(-4)*1)/1. Let y be 9/(27/(-12)) - -499. Let g = y + u. Is g a prime number?", "a": "False" }, { "q": "Let s be (16/24)/(2/(-15)) - -2. Is (s/(-1))/(7/(-69279)*-9) a composite number?", "a": "False" }, { "q": "Suppose 0 = z - 2*z - 1. Let t(n) = -3*n + 14 - 13 + 0*n - 3 + 456*n**2. Is t(z) a prime number?", "a": "True" }, { "q": "Let g(m) = -4*m + 4. Let c be g(8). Let p be -693*((-120)/c)/5. Let d = p - -1429. Is d a prime number?", "a": "False" }, { "q": "Let w(g) = g**2 - 21*g + 20. Let c be w(20). Suppose 2*u + c*b = -b + 1753, -2*u + b = -1763. Is u composite?", "a": "True" }, { "q": "Let f(o) be the third derivative of -941*o**4/12 + 29*o**3/6 - o**2 - 14. Is f(-2) a prime number?", "a": "True" }, { "q": "Suppose 0 = -4*z - 2*k + 7*k, 3*k = 3*z - 3. Suppose -4*q = -z*a + 109227, -2*q = -3*a - q + 65539. Is a composite?", "a": "True" }, { "q": "Let z(y) = 3*y**2 + 14*y + 13. Suppose 21*i - 14 = 20*i. Is z(i) a prime number?", "a": "True" }, { "q": "Suppose -5*d + 26 = -2*i, 5*d = d + 2*i + 20. Let f(m) = 1761*m - 93. Is f(d) a prime number?", "a": "False" }, { "q": "Let k(p) = 26*p**2 - 6*p + 3. Suppose 4*q = 2*f + 18, 2*f - 4*f = -2. Is k(q) composite?", "a": "True" }, { "q": "Is 226782/36 - (-3)/(-6) composite?", "a": "False" }, { "q": "Let k(c) = c**3 + 31*c**2 + 58*c - 13. Let l(h) = 2*h**3 - 24*h**2 - 2*h. Let b be l(12). Is k(b) composite?", "a": "True" }, { "q": "Let b(k) = k**3 + 7*k**2 - 2*k - 1. Let r(i) = i**3 + 15*i**2 + 14*i + 7. Let f be r(-14). Let d be b(f). Let j = d - 345. Is j a composite number?", "a": "True" }, { "q": "Let k = -191 - -179. Is 6354/1 - (17 + k) composite?", "a": "True" }, { "q": "Suppose 4*s + 0*s + 1320 = 0. Let u = 373 - 1100. Let l = s - u. Is l composite?", "a": "False" }, { "q": "Suppose 5*f - 152 = 7*f. Let i be 2/(-9) - (f/18 - -1). Suppose -12*t = -i*t - 738. Is t prime?", "a": "False" }, { "q": "Is ((-4)/14)/(28/26116510*-5) prime?", "a": "True" }, { "q": "Suppose -h - w = h - 3, -5*w - 3 = 4*h. Let p(x) = -46*x**3 + x. Let k be p(-1). Suppose g - s - k = 0, h*s = g - s - 51. Is g a prime number?", "a": "True" }, { "q": "Let v(q) = 1800*q + 83. Let p be v(4). Suppose -2312 + p = 3*i. Is i composite?", "a": "False" }, { "q": "Let z be (-3)/(-3)*6*5/10. Is (-2)/2 + (z - -2501) a prime number?", "a": "True" }, { "q": "Let f be (6135/10)/(15/80). Let o = f - 2055. Is o composite?", "a": "False" }, { "q": "Let f = -43 + 45. Let x(g) = -g**2 + 2. Let y be x(f). Is (-4078)/(-14) - y - 36/126 a prime number?", "a": "True" }, { "q": "Suppose k = 2*o - 45618, o - 3*k - 14202 = 8617. Is o prime?", "a": "True" }, { "q": "Suppose 0 = t - 6*t - 2*h + 5, -h + 2 = 3*t. Suppose 39*i - 42*i = -6, -2*z - 2*i + 8 = 0. Is t + (-6)/z + 1046 prime?", "a": "False" }, { "q": "Let s = 25 - 25. Let r(g) = -3*g + 260. Let k be r(s). Let d = 561 - k. Is d a prime number?", "a": "False" }, { "q": "Suppose -2*i = -i - 5*c + 3, -c = -4*i + 7. Is i/3 - 38662/(-39) - -3 a composite number?", "a": "True" }, { "q": "Suppose -j + 5*d + 6 - 1 = 0, d - 10 = -2*j. Suppose 48 = k + j*m, 178 = 3*k + 3*m - 14. Let o = -17 + k. Is o composite?", "a": "True" }, { "q": "Let s(i) = 43*i**2 - 11. Let k(p) = -86*p**2 + p + 22. Let c(j) = -3*k(j) - 5*s(j). Is c(-5) a composite number?", "a": "True" }, { "q": "Let a = 116 + -237. Let q = a - -1106. Is q a composite number?", "a": "True" }, { "q": "Is 17934 + 16/(-12 + 10) a composite number?", "a": "True" }, { "q": "Let x be 12/(-27)*(702/12)/(-13). Suppose -x*i + 28531 = 5*u, 4*i - u - 4*u - 57107 = 0. Is i a composite number?", "a": "True" }, { "q": "Let f = 314944 + -130595. Is f composite?", "a": "True" }, { "q": "Suppose -15*m + 13*m = -2*j + 33230, 6*m = 24. Is j a composite number?", "a": "False" }, { "q": "Let d = -14525 + 27488. Suppose 72*g = 69*g + d. Is g a prime number?", "a": "False" }, { "q": "Let h(i) = -23667*i + 397. Is h(-2) composite?", "a": "True" }, { "q": "Suppose 4*q + 5*i - 3665 = 0, -3*q - 5*i + 2333 = -412. Suppose 372 + q = 2*l. Suppose -3*k + l = -347. Is k prime?", "a": "True" }, { "q": "Is 15700120/72 - 2/9 a prime number?", "a": "False" }, { "q": "Let p = -1817 - -10599. Is p prime?", "a": "False" }, { "q": "Let t be (1 - -4 - 6) + -177*1. Let d = t - -1563. Is d a prime number?", "a": "False" }, { "q": "Let f be -2*3/6 + (-1 - -12). Suppose f*p - 160 = 9010. Is p prime?", "a": "False" }, { "q": "Let g(y) = 12*y + 5. Let w be g(1). Suppose -33535 = -w*m - 4482. Is m prime?", "a": "True" }, { "q": "Let w(v) = 8508*v - 1437. Is w(7) composite?", "a": "True" }, { "q": "Let z be -6 + (32*3)/6. Suppose -6*q = -z*q + 16804. Is q a composite number?", "a": "False" }, { "q": "Let a = 152 + -154. Is 677 - (1 - (-6)/a) prime?", "a": "False" }, { "q": "Let t = 2050 - 737. Suppose 0 = -5*d - 5, t = 3*h + 4*d - 912. Is h prime?", "a": "True" }, { "q": "Let m be 4 - -1 - (12 + -18). Suppose 197 = m*x - 188. Is x composite?", "a": "True" }, { "q": "Let k(p) = p**3 - 5*p**2 + 5*p - 4. Let u be k(4). Suppose 4*y + 148 - 35 = m, -5*y - 4*m - 136 = u. Is (-1 + -228)*(-3)/((-12)/y) a composite number?", "a": "True" }, { "q": "Let l(m) = 698*m - 399. Is l(11) composite?", "a": "True" }, { "q": "Let m(l) = 2*l + 15. Let g be m(-5). Suppose u + g*h + 809 = 0, -2*u + 2*h + 3290 = -6*u. Let t = 1155 + u. Is t a composite number?", "a": "False" }, { "q": "Let p = 66613 - 30444. Is p prime?", "a": "False" }, { "q": "Let v be -2 + (-20)/(-11) - 52941/(-231). Let s = -10 + v. Is s a prime number?", "a": "False" }, { "q": "Suppose 0 = 6*n, -3*a - n + 3*n + 159785 + 58648 = 0. Is a prime?", "a": "False" }, { "q": "Let t(h) = 14*h**2 - 3*h + 6. Suppose 6*n = 2*n + 64. Suppose 3*b - n = -b. Is t(b) prime?", "a": "False" }, { "q": "Let j be (-2)/1 + (0/(-4))/(-4). Let y(n) = 2*n**2 + n - 4. Let g be y(j). Suppose -1869 = g*d - 5*d. Is d prime?", "a": "False" }, { "q": "Let j = 271 - 692. Let s be (j/2)/((-4)/8). Let r = s + -212. Is r composite?", "a": "True" }, { "q": "Let f = -34 + 33. Let j be f/((-5)/10*-1*2). Is (1225/(-20) + -3)/(j/4) prime?", "a": "True" }, { "q": "Let s be (-1)/((-5)/9758) + 6/15. Suppose -z - s = -5*z. Let u = z + -169. Is u a prime number?", "a": "False" }, { "q": "Let p(f) = 48*f**2 - 6*f + 27. Let b(h) = h**3 - 8*h**2 - 11*h + 13. Let x be b(9). Is p(x) a composite number?", "a": "True" }, { "q": "Let f(o) = -49443*o + 23. Is f(-1) prime?", "a": "False" }, { "q": "Let b = -8087 + 14133. Suppose -13099 = -7*m + b. Is m a composite number?", "a": "True" }, { "q": "Let c = 13327 - 1586. Is c prime?", "a": "False" }, { "q": "Let a = 22097 + -8320. Is a a composite number?", "a": "True" }, { "q": "Let w(b) = -10*b**3 - 4*b**2 - 3*b + 12. Suppose 0 = 5*o - 6*c + 2*c - 23, 3*c = o - 9. Suppose o*u - 19 = 2*l, -2 - 7 = 3*l + 2*u. Is w(l) a prime number?", "a": "False" }, { "q": "Let j(w) = -11*w - 16. Let i be j(-3). Let u(c) be the first derivative of c**4/4 - 5*c**3 - 17*c**2/2 + 4*c - 10. Is u(i) prime?", "a": "True" }, { "q": "Suppose -4*x = -2*j + 26, -j - x - 2 = -0*j. Suppose 5*b = j*b + 2240. Suppose b = p + 5*f, p + 2*f + 288 = 1405. Is p a composite number?", "a": "True" }, { "q": "Let n = 114 + -24. Suppose 3*k - d = n + 1259, -2*k = 2*d - 894. Is k composite?", "a": "False" }, { "q": "Suppose -3*n + 19914 = 3*q, 3*q - 1387 = -5*n + 31801. Is n a prime number?", "a": "True" }, { "q": "Let t = -72427 - -204612. Is t a composite number?", "a": "True" }, { "q": "Let t = -21 - -14. Let h(w) = -3*w - 19. Let j be h(t). Suppose j*c = 639 + 715. Is c composite?", "a": "False" }, { "q": "Let n = -24616 - -88423. Is n prime?", "a": "False" }, { "q": "Is 1/((-16)/(-5) - 3) - (-5 + -91051) prime?", "a": "False" }, { "q": "Let n(c) = -2*c**3 + c**2 + 51619. Is n(0) a prime number?", "a": "False" }, { "q": "Let v = 3362 + 1017. Let q = v - 42. Is q a composite number?", "a": "False" }, { "q": "Suppose 9035 = -5*a + 2*a + c, 3*c + 12 = 0. Let v be a/92 + (-3)/(-4). Is (-8362)/(-14) - v/(-112) composite?", "a": "True" }, { "q": "Let d(l) = l**3 + l**2 - l + 4. Suppose 0 = a - 0. Let p be d(a). Suppose 0 = -p*g - g + 955. Is g a composite number?", "a": "False" }, { "q": "Suppose -1870 = -5*s + u, 0 = -4*s - 4*u - u + 1496. Suppose 2*o - 3*o = -765. Let k = s + o. Is k a prime number?", "a": "False" }, { "q": "Suppose 3*m = -68 + 68. Suppose -b + 3*b - 2938 = m. Is b a composite number?", "a": "True" }, { "q": "Let w(v) = -367*v - 60. Let p(s) = -184*s - 30. Let o(z) = 11*p(z) - 6*w(z). Let c be o(-10). Let t = -1119 - c. Is t prime?", "a": "True" }, { "q": "Suppose 99*o = 77*o + 1861486. Is o prime?", "a": "False" }, { "q": "Suppose -305783 = 33*w + 70255 - 2206119. Is w a composite number?", "a": "False" }, { "q": "Let d be (-2 + 5 + -3 + 0)/1. Suppose d = 5*j + l - 20765, 3*l + 6605 = 2*j - 1701. Is j a prime number?", "a": "True" }, { "q": "Let f be (-48)/(-36) + 4/6. Let n(l) = -11*l + 1. Let a be n(-3). Suppose -f*d = -a + 22. Is d a composite number?", "a": "True" }, { "q": "Let t(g) = -g**2 - 14*g + 32. Let h be t(-15). Suppose h*s - 7565 = -3*r + 12*s, -s - 2511 = -r. Is r composite?", "a": "True" }, { "q": "Let u = 13730 - -5073. Is u prime?", "a": "True" }, { "q": "Suppose 4*b = -2*b. Suppose b = -12*k + 16*k - 16. Suppose 5*y - 3*y + k*z - 2102 = 0, -z - 5244 = -5*y. Is y a composite number?", "a": "False" }, { "q": "Let d = 512 - 508. Let z = 27 - -465. Suppose -2*x - d*h + z = -6*h, -4*x + 991 = 3*h. Is x composite?", "a": "True" }, { "q": "Suppose 0 = i + 472 - 4166. Let a = i - 2043. Is a a composite number?", "a": "True" }, { "q": "Suppose 0 = 29*x - 3*x - 200038 - 178600. Is x a composite number?", "a": "False" }, { "q": "Suppose w - 3*y = 39867 + 23676, -2*w = -5*y - 127084. Is w prime?", "a": "False" }, { "q": "Let f = 2439 + -349. Suppose -r = 4*y - 1033, 0 = -2*r - y - y + f. Is r a composite number?", "a": "False" }, { "q": "Let f(g) = -g**3 - 8*g**2 - 2*g + 2. Let o be f(-7). Let m be ((-44)/o)/((-2)/3)*-54. Suppose -113 = -d + m. Is d composite?", "a": "True" }, { "q": "Suppose 39 = -7*m - 31. Is (-4 + (-15)/m)*35418/(-15) a prime number?", "a": "True" }, { "q": "Suppose 21*j - 84 = 23*j. Is (j/24)/((-2)/776 + 0) a prime number?", "a": "False" }, { "q": "Let y be (-1)/(2 - 3) - -446. Let g = -769 + 772. Suppose h - 447 = -2*h - g*d, 3*h - 4*d = y. Is h composite?", "a": "False" }, { "q": "Suppose 21*t + 39 + 24 = 0. Is -4 - (9/t)/(2/206) prime?", "a": "False" }, { "q": "Let s = -179 + 179. Suppose s*i = 5*i - 12515. Is i a composite number?", "a": "False" }, { "q": "Suppose -s - 3*v = 16, 5*v + 27 - 7 = 0. Is (s - 2742)*2/(-4) prime?", "a": "True" }, { "q": "Let q(g) = 289*g + 73. Let v be q(22). Suppose -v = 11*b - 36978. Is b a prime number?", "a": "True" }, { "q": "Let x = 4 + 10. Let p be (211 + 0)*(-13 + x). Suppose -r = -3, 5*b - 4*r = p + 87. Is b composite?", "a": "True" }, { "q": "Suppose -12678 = -6*c + 3*c. Suppose 4*t = -c + 23110. Is t prime?", "a": "True" }, { "q": "Suppose 27*m - 26*m = 0. Suppose h - 2 = m, 0*l - l = 4*h - 5. Is 1/(l/3)*-83 prime?", "a": "True" }, { "q": "Suppose 0 = -5*g - 4 - 11. Let n be (-10)/g*6/(-5). Is 450/10 + (-1 - -3) + n composite?", "a": "False" }, { "q": "Let x = -7581 - -22702. Is x composite?", "a": "False" }, { "q": "Let i be 13751/6 + 2 - 1/(-6). Suppose -3094 - i = -6*m. Is m composite?", "a": "True" }, { "q": "Let n(y) be the first derivative of y**6/120 + y**5/6 + y**4/12 + y**3/2 - 5*y**2/2 + 2. Let o(h) be the second derivative of n(h). Is o(-5) prime?", "a": "False" }, { "q": "Suppose -7*w = -23*w + 298544. Is w a composite number?", "a": "True" }, { "q": "Is ((-4449189)/138)/((-1)/2) prime?", "a": "False" }, { "q": "Let d = -161983 - -380544. Is d a prime number?", "a": "False" }, { "q": "Is ((17/3)/((-5)/86865))/(20 + -21) composite?", "a": "True" }, { "q": "Let b = 1584 - 866. Suppose -u + b + 841 = 0. Is u prime?", "a": "True" }, { "q": "Let u(n) be the third derivative of -n**5/60 + n**4/3 - 3*n**3/2 + 18*n**2. Let v be u(7). Is v/1 - (5 + -338) prime?", "a": "True" }, { "q": "Suppose -z + 0*z - 20536 = -3*b, -5*z = 5*b - 34200. Suppose 13*r + 1007 - b = 0. Is r prime?", "a": "True" }, { "q": "Suppose -7 = 4*f - 5*g, -5 = f + 2*g - 13. Suppose 4*d - 28 = -3*k, f*k = -3*d + 12 + 8. Suppose -604 = k*b + 5*a - 11554, 0 = 3*b - 3*a - 8199. Is b prime?", "a": "False" }, { "q": "Let z(f) = -f**3 - 24*f**2 - 59*f + 61. Is z(-23) prime?", "a": "False" }, { "q": "Let l be ((-6)/4)/((28/24)/7). Let y(b) = b**3 + 14*b**2 + 7*b - 11. Is y(l) a composite number?", "a": "False" }, { "q": "Is 159209 + (-23)/(23/(-8)) prime?", "a": "False" }, { "q": "Let i(q) = 145*q**2 + 17*q - 35. Let z = 143 - 133. Is i(z) prime?", "a": "False" }, { "q": "Let k(s) = -s**2 - 10*s - 21. Let v be k(-7). Suppose v = 5*a - 6*a + 1181. Is a composite?", "a": "False" }, { "q": "Let y(d) = 0*d**2 - 5*d**3 - 5*d**2 + 13*d - 2 - 9*d - 1. Is y(-7) a prime number?", "a": "True" }, { "q": "Let o = -4658 - -6639. Is o composite?", "a": "True" }, { "q": "Let k(y) = -23*y**2 + 10*y**2 + 13 + 2*y**3 + 24*y + y**3 - 8*y**3. Is k(-11) a prime number?", "a": "True" }, { "q": "Let o be 3 - (-3 - 1 - -7). Suppose 0 = 4*w + 3*k - 2986, -2*k - 3721 = -5*w - o*k. Is w composite?", "a": "True" }, { "q": "Suppose -25*h = -17*h - 262360. Suppose 0 = 13*w - h - 19764. Is w composite?", "a": "True" }, { "q": "Let s be (-2)/(-18)*15*3. Suppose -s*n - 5*q = 975, -4*n + 4*q - 764 = -0*n. Let f = n - -396. Is f prime?", "a": "False" }, { "q": "Suppose 5*t + 4 + 46 = 0. Let l(c) = c**3 - 14*c**2 - 6*c - 18. Let x be l(t). Is x/(-7) - 17/(-119) a prime number?", "a": "True" }, { "q": "Is 138618/1 + -120 + 113 composite?", "a": "True" }, { "q": "Let u(v) = -2*v**3 + 65*v**2 + 39*v + 61. Let z be u(32). Let i = z + -687. Is i a composite number?", "a": "True" }, { "q": "Suppose 4*d + 2*d + 18 = 0. Let a = 8 + -10. Is d*3/6*508/a composite?", "a": "True" }, { "q": "Let f(u) = u**3 + 23*u**2 - 31*u + 111. Let c be f(-26). Is -8 - -16 - 5 - c/1 prime?", "a": "False" }, { "q": "Suppose 334786 = 2*d - 3*o, -d + 46567 + 120824 = -o. Is d composite?", "a": "True" }, { "q": "Suppose -2*q - 4*a + 16078 = -28776, 0 = -4*q - 4*a + 89688. Is q composite?", "a": "True" }, { "q": "Suppose 0 = -109*y + 114*y + 477175. Is y/(-55) + -2 - 4/22 a prime number?", "a": "True" }, { "q": "Suppose -16*i = -16 - 64. Suppose 3*z + 2*q = 2821, 5*z - 4702 = 2*q - i*q. Is z prime?", "a": "True" }, { "q": "Let b(z) = -z**3 + 7*z**2 + 17*z + 17. Let g be b(9). Suppose -g*t = -808 - 952. Let p = -91 + t. Is p a prime number?", "a": "False" }, { "q": "Suppose 0*u + p = -2*u + 15591, -u + 7798 = 3*p. Suppose u = 17*v - 12*v. Is v a composite number?", "a": "False" }, { "q": "Suppose -2*l + 1 = p - 5, -2*l - 4*p - 6 = 0. Suppose -5*f - 6835 = -l*y, -3*y + 4*f = 7*f - 4113. Is y a composite number?", "a": "True" }, { "q": "Suppose -4*o = -s - 4, -4*o + 11 + 1 = -3*s. Suppose q + o*q = -2*q. Suppose 3*a - m - 558 - 579 = q, 5*a = -4*m + 1895. Is a composite?", "a": "False" }, { "q": "Let i(t) = -8278*t + 117. Is i(-2) a prime number?", "a": "True" }, { "q": "Let v(z) be the first derivative of -z**4 - 2*z**3 + 9*z**2/2 + 48*z + 58. Is v(-11) a composite number?", "a": "False" }, { "q": "Is 74597 - 0*((-3)/8)/(66/88) prime?", "a": "True" }, { "q": "Let o(b) = 3*b**3 - 19*b**2 - 2*b + 4. Let p be o(13). Let x = -947 + p. Is x composite?", "a": "False" }, { "q": "Let q(u) = -u**3 + 7*u**2 + 8*u + 5. Let b be q(8). Suppose -2*t + 8 = 0, r + 20 = b*r + 2*t. Suppose -g = -w + 188, -r*w - 3*g = g - 585. Is w composite?", "a": "False" }, { "q": "Suppose -4*z + 2*o - 4*o = -48, -5*o = -4*z + 20. Suppose -z*n = -5*n + 780. Let q = -29 - n. Is q prime?", "a": "True" }, { "q": "Let t(x) = -x**3 + 18*x**2 - 2*x + 39. Let i be t(18). Is -2*3/(-18)*i*331 a composite number?", "a": "False" }, { "q": "Let l(f) = f**2 - 6*f - 10. Let t be l(8). Suppose t*r + 4 - 22 = 0. Is ((-76)/(-3) - -1)*r a prime number?", "a": "True" }, { "q": "Let n(j) = -277*j**3 + j**2 - j - 2. Let a be n(-1). Let u = a - -372. Suppose -2*q + 4*q = -2*y + 268, -u = -5*q + 2*y. Is q prime?", "a": "True" }, { "q": "Let q = -161 - -177. Suppose -q*s + 5517 = -7*s. Is s a prime number?", "a": "True" }, { "q": "Suppose -3*n = 4*k + 9, -3*k + 4*n + 27 - 15 = 0. Suppose -2*j - 2776 + 10236 = 4*x, k = -2*j + 4*x + 7476. Is j prime?", "a": "False" }, { "q": "Let b(n) = 1524*n**2 + 30*n - 239. Is b(7) composite?", "a": "True" }, { "q": "Let b(l) = 3*l - 79. Let i be b(28). Suppose -g + i = 0, -5*k + 1049 = -2*k - 2*g. Is k a composite number?", "a": "False" }, { "q": "Suppose -4*f - 6270 = -4*d + 8430, 2*f + 18363 = 5*d. Is d a composite number?", "a": "False" }, { "q": "Let h = -1215 - -4388. Is h composite?", "a": "True" }, { "q": "Let r be (184/4)/((-2)/(-17)). Suppose -8*h + r = -7*h. Is h prime?", "a": "False" }, { "q": "Let h(p) = p**2 + 7*p - 21. Suppose -3*m - 26 = 16. Is h(m) prime?", "a": "False" }, { "q": "Suppose -g - t + 6 = -1455, -g - 4*t = -1449. Suppose -2*s = -0*s. Suppose s = 15*z - 10*z - g. Is z prime?", "a": "True" }, { "q": "Suppose -113*y - 97*y + 53*y = -5595637. Is y a composite number?", "a": "True" }, { "q": "Let v = -3 + 6. Suppose v*a - 2168 - 523 = 0. Let q = a - -112. Is q a prime number?", "a": "True" }, { "q": "Let b(h) be the third derivative of -16*h**2 - 1/4*h**4 + 0 - 7/3*h**3 - 1/120*h**6 + 0*h - 1/30*h**5. Is b(-6) a composite number?", "a": "True" }, { "q": "Suppose j - 61137 = 2*x, 0 = x - 3*x - 4. Is j composite?", "a": "True" }, { "q": "Suppose -5*a - 307487 = -34*a. Is a composite?", "a": "True" }, { "q": "Is (4/(-10))/(8624434/(-2156105) + 4) prime?", "a": "True" }, { "q": "Is ((-10)/(130/39) + 36031/(-2))*-2 a prime number?", "a": "True" }, { "q": "Let m = 63 + 55. Let r = m - -2113. Is r a composite number?", "a": "True" }, { "q": "Suppose 0 = -2*j - 9 + 15. Suppose 5 = -5*n, j*d + 5*n + 640 = 8*d. Is d composite?", "a": "False" }, { "q": "Suppose 35*w - 3402106 = -23*w. Is w composite?", "a": "False" }, { "q": "Suppose 2*n + c + 3 = 0, -2*n - 4 = 5*c + 11. Suppose n = 5*j - 10, -142 = -2*z + j + 494. Let i = z + 804. Is i a composite number?", "a": "False" }, { "q": "Suppose -5*d - 21 = -8*d. Suppose 0 = -t + 4, 2*l + 1 = t + d. Suppose -l*h = -3*z + 1681, 5*h + 1400 = 5*z - 1395. Is z a prime number?", "a": "True" }, { "q": "Let s(m) be the third derivative of 745*m**4/24 + 4*m**3/3 - 22*m**2 - 1. Is s(1) a composite number?", "a": "True" }, { "q": "Let b(h) = -97*h**3 - h**2 + h + 2. Let c be ((-10)/7)/(3/(-21)). Suppose 5*a + 15 = c. Is b(a) composite?", "a": "False" }, { "q": "Suppose 5*o = -5*h + 10, -4 = -o - 3*h - 0. Let p(q) = 47*q - 71. Let g be p(5). Is (g - (o + -2)) + (-2)/1 composite?", "a": "False" }, { "q": "Let a = 135 + -125. Suppose a*x + 12*x - 14564 = 0. Is x a composite number?", "a": "True" }, { "q": "Let x(y) = -y**3 + 10*y**2 + 3*y + 22. Let u be x(10). Suppose u*d = 56*d - 12. Let k(l) = 51*l**2 - 2*l + 4. Is k(d) a prime number?", "a": "True" }, { "q": "Suppose 28*a + 839007 - 838420 = 1966103. Is a composite?", "a": "True" }, { "q": "Let o(j) = 2596*j + 375. Is o(36) a prime number?", "a": "False" }, { "q": "Suppose -4*d = 12, -2*n + 2*d + 48371 = 9303. Is n a prime number?", "a": "True" }, { "q": "Let x(c) be the second derivative of -572*c**3/3 + 83*c**2/2 - 7*c + 2. Is x(-12) a prime number?", "a": "False" }, { "q": "Suppose 478877 = 10*k + 9327. Is k composite?", "a": "True" }, { "q": "Suppose -f - 2*f + 12 = 0. Suppose -5405 = -f*x - x. Is x prime?", "a": "False" }, { "q": "Let d(t) = -45 + 8*t - 62*t**2 + 14 + 4*t**2 + 128*t**2. Is d(5) a prime number?", "a": "True" }, { "q": "Let n(f) = 6*f**2 - 9*f - 22. Let o be n(-7). Let s = 1288 + o. Is s composite?", "a": "True" }, { "q": "Let y(a) = a**2 + 21*a + 8887. Is y(0) composite?", "a": "False" }, { "q": "Suppose 13*b - 8*b - 89 = -l, -b - 5*l + 13 = 0. Suppose 0 = b*q - 119145 - 20625. Is q composite?", "a": "True" }, { "q": "Suppose -4*f + 3680238 = 14*f - 585024. Is f composite?", "a": "True" }, { "q": "Let d(f) = 172*f**2 - 33*f - 962. Is d(-27) a composite number?", "a": "True" }, { "q": "Is 114/19 - (-403*1 - 2) prime?", "a": "False" }, { "q": "Suppose -27 = -3*i - 4*h, -3*i + 3*h + 21 = -27. Suppose w - 2*w = 3*p - 11, 4*p + 3*w = i. Is -1*(p/4 + -224) a composite number?", "a": "False" }, { "q": "Suppose -682*g + 669*g = -174759. Is g prime?", "a": "False" }, { "q": "Suppose 15413 = 4*g + 5*r, 2*g + 3*g + 5*r - 19265 = 0. Suppose -8*x = -g + 980. Is x a prime number?", "a": "True" }, { "q": "Suppose t - 2*z + 8726 = 48929, 40215 = t + 4*z. Is t a prime number?", "a": "False" }, { "q": "Is 83010/(-5)*(-4)/24 prime?", "a": "True" }, { "q": "Is ((-129182)/24)/(21/(-252)) prime?", "a": "True" }, { "q": "Let m = 40 + 1414. Let d = 647 + m. Is d a prime number?", "a": "False" }, { "q": "Let j(k) = -164*k - 11 + 352*k + 296*k. Is j(3) a composite number?", "a": "True" }, { "q": "Let t = 70053 - -3712. Is t a composite number?", "a": "True" }, { "q": "Let o = -2 - -8. Suppose 19*a - 15390 = -19*a. Is (a + 5)*3/o a composite number?", "a": "True" }, { "q": "Suppose -5*w = 3497 - 37412. Suppose 5*c - 6*f + 2*f - w = 0, -4*c = 4*f - 5412. Is c a prime number?", "a": "False" }, { "q": "Let w(h) = -14299*h + 1092. Is w(-5) a composite number?", "a": "True" }, { "q": "Let x(t) = -6397*t - 780. Is x(-11) composite?", "a": "True" }, { "q": "Let v(c) = -3254*c - 883. Is v(-9) prime?", "a": "True" }, { "q": "Is 12/(-9) - (7 + 447016/(-12)) a prime number?", "a": "True" }, { "q": "Let a(n) = n**2 + 14*n - 11. Let w be a(-15). Suppose -w*d - 6 = -18. Suppose d*v + l = 6*l + 633, 0 = 4*v + 4*l - 844. Is v prime?", "a": "True" }, { "q": "Suppose 4*w + 8 = 0, -g - w = -2*w + 1. Let k be (-32)/(-48) - 139/g. Suppose -k + 196 = m. Is m a prime number?", "a": "True" }, { "q": "Is (10 - 21/3)*(-69334)/(-6) a composite number?", "a": "False" }, { "q": "Let r(j) = -j**3 - 5*j**2 - 6*j - 6. Let y be r(-5). Suppose y*t - 25*t - 14120 = -5*i, -i + 2813 = 2*t. Is i prime?", "a": "False" }, { "q": "Suppose 22*n - 5 = 27*n, -3*r = 3*n - 223128. Is r prime?", "a": "True" }, { "q": "Let z be 174/15 - -1*(-2)/(-5). Is ((-1340)/6)/(((-32)/z)/4) composite?", "a": "True" }, { "q": "Suppose -338*k = -349*k + 15242 + 752. Is k composite?", "a": "True" }, { "q": "Let q = 11708 - 1459. Is q a composite number?", "a": "True" }, { "q": "Let q = -2238 - -1313. Let x = 1057 - q. Is x composite?", "a": "True" }, { "q": "Suppose 2*x - 11 = -3*o + 9, 0 = o - x. Suppose 3293 = o*v + k, 0 = -2*v - 2*k - k + 1659. Let h = v + 431. Is h a composite number?", "a": "True" }, { "q": "Let p(f) = 13*f**3 - 71*f**2 + 7*f - 5. Is p(16) prime?", "a": "False" }, { "q": "Let d be 2550/(-40) - 2/8. Let j be (1/((-8)/(-6)))/(16/d). Is -388*(-3)/6 + j a composite number?", "a": "False" }, { "q": "Suppose 82680 = -3*t - 10*t. Let j = 10031 + t. Is j prime?", "a": "True" }, { "q": "Let g(a) = 3*a**2 - 6*a - 6. Let t be g(5). Let x = t + -35. Suppose -f - 888 = -x*f + 3*d, 0 = 4*f + 5*d - 1139. Is f a prime number?", "a": "False" }, { "q": "Let d be (-3)/(-6) + 50/4. Let v = d + -22. Is 6/(-27) - 6869/v a composite number?", "a": "True" }, { "q": "Let j = -66 - -66. Suppose -d + j*c + 38 = c, 0 = -4*d + 4*c + 144. Is d composite?", "a": "False" }, { "q": "Suppose 0 = -4*x + b - 3027, -x - 4*b - 669 = 109. Let p = 3751 + x. Is p a composite number?", "a": "True" }, { "q": "Let g = -17 + 20. Let y be (28/16)/((g/(-4))/(-3)). Suppose y*c - 6740 = 2073. Is c a prime number?", "a": "True" }, { "q": "Suppose -43*m + 50*m - 154 = 0. Suppose -5*g + 1377 = m. Is g composite?", "a": "False" }, { "q": "Suppose -3*m - 116 = 28. Let y = 19 + m. Let b = 280 + y. Is b prime?", "a": "True" }, { "q": "Let u(c) = -c**3 - 17*c**2 - 16*c + 19. Suppose -6*z - z = 42. Let k be (1 + 0)*(-10 + z). Is u(k) a prime number?", "a": "True" }, { "q": "Let f be -1 - (666/(-3))/(9/(-42)). Let b = 12174 - f. Is b composite?", "a": "True" }, { "q": "Suppose 2*w = 3*f - 41, -w - 55 = -4*f + 2*w. Let i(l) = 36*l + 67. Is i(f) a prime number?", "a": "False" }, { "q": "Suppose -4*c - 3*z - 3072 = -11723, 4*c + z - 8657 = 0. Is c prime?", "a": "False" }, { "q": "Let x = -42 - -42. Suppose 11*o - 17659 - 6068 = x. Is o prime?", "a": "False" }, { "q": "Suppose -56*k + 1814937 = 2234632 - 6627575. Is k a composite number?", "a": "True" }, { "q": "Let q(o) = o**3 + 13*o**2 - 8*o - 15. Let m = -137 - -39. Let b be -1 + m/8 + 1/4. Is q(b) composite?", "a": "False" }, { "q": "Suppose 8*r - 12995 - 31773 = 0. Let d = r + -2601. Is d a prime number?", "a": "False" }, { "q": "Suppose -5*r + 0*r = 0. Suppose r = g + 3*j - 1329, 2*j = -4*g - 0*j + 5316. Is g a composite number?", "a": "True" }, { "q": "Let b(g) = 1626*g + 38. Let o be b(13). Let v = -12085 + o. Is v a composite number?", "a": "False" }, { "q": "Suppose -35619 = -2*j + 3*o, -5*j - 3*o + 133044 - 43944 = 0. Let i = j - 10412. Is i composite?", "a": "True" }, { "q": "Let n = -4031 - -35334. Is n composite?", "a": "True" }, { "q": "Suppose -30*c + 298894 = 4*c. Is c a prime number?", "a": "False" }, { "q": "Suppose -6*d + 20157 = -4689. Is d prime?", "a": "False" }, { "q": "Let x(w) = -w**3 - 2*w**2 - 4*w + 1. Let c be x(-3). Suppose -g - 3*f + 14 = 0, 2*g + g - c = f. Is ((-1398)/24)/((-2)/g) a composite number?", "a": "False" }, { "q": "Let h(w) = -6*w**3 - 22*w**2 + 53*w + 19. Is h(-18) a prime number?", "a": "False" }, { "q": "Suppose -376999 = -5*o - 3*a, -11*o + 9*o + 3*a + 150808 = 0. Is o a prime number?", "a": "True" }, { "q": "Suppose -2*f + 544914 = -4*i, 5*f + 37*i = 35*i + 1362333. Is f a composite number?", "a": "True" }, { "q": "Suppose -265242 = -m + 5*d, 530439 = -19*m + 21*m - d. Is m composite?", "a": "True" }, { "q": "Is -2 + -7 - 747294/(-59) a prime number?", "a": "False" }, { "q": "Suppose 2*t + 42 = 4*t. Let p(d) = 56*d + 1058. Let h be p(-19). Is t*((-8)/h)/(-4)*-11 composite?", "a": "True" }, { "q": "Let h(y) = -3*y + 12. Suppose 7 = 4*s - w, -3*s + 0*w = 5*w - 34. Let i be h(s). Suppose -n = 4*a - 3009, -i*n + 4233 = 3*a - 4785. Is n composite?", "a": "True" }, { "q": "Let t be -3 + (-3 - (1 + -2)). Let a(w) = 1 + 0 + 11 - 3*w**2 + 4*w**2. Is a(t) a prime number?", "a": "True" }, { "q": "Suppose 4*j + 15 = 5*g, 4*g - 2*j - 18 = -6. Suppose 0*m + m = -g. Is (76 + 4)/2 + m*1 a composite number?", "a": "False" }, { "q": "Suppose 3*a = 9, a = 2*g - 367 - 152. Suppose 21*k - g = 18*k. Is k prime?", "a": "False" }, { "q": "Is 220710/18 + (-4)/(-3) composite?", "a": "False" }, { "q": "Let f(v) = -v**2 + 6*v - 4. Let t be f(4). Suppose -28 = -t*h + 8. Is -3 - (2/(-9) - 5308/h) prime?", "a": "True" }, { "q": "Suppose 5*f = 37064 + 121371. Is f prime?", "a": "True" }, { "q": "Let a be ((-31)/(-31))/(-1 - 2084/(-2086)). Let i = a - -1908. Is i prime?", "a": "False" }, { "q": "Suppose 906 + 710 = 4*i. Suppose -p - 279 = i. Let h = -392 - p. Is h a composite number?", "a": "True" }, { "q": "Let a = 194492 + -62973. Is a a composite number?", "a": "False" }, { "q": "Let o be (32/(-12))/((-6)/27). Let f(a) = -a + 14. Let g be f(o). Suppose 3*c = g*c + 47. Is c a composite number?", "a": "False" }, { "q": "Let s = 98751 + -35510. Is s a composite number?", "a": "False" }, { "q": "Let m(s) = 1075*s**2 + 5*s + 155. Is m(-14) a prime number?", "a": "False" }, { "q": "Let p = -17 - -13. Is (-1)/1 - 3 - p - -118 a prime number?", "a": "False" }, { "q": "Let p(q) = -320*q + 68. Let o be p(-16). Suppose -b - 3*x = -3779, b - 3*x = o - 1409. Is b composite?", "a": "False" }, { "q": "Suppose m - 5*q = 19, 0 = -3*m - q + 110 - 21. Suppose m = 2*j - 3*d, -2*d = -j - 3*j + 38. Suppose j*n - 40 = 9. Is n a composite number?", "a": "False" }, { "q": "Let n be 1 + 655296/30 + (-4)/(-5). Suppose -a = -4*m + 11482 + 17649, n = 3*m - 4*a. Is m prime?", "a": "True" }, { "q": "Is (-13)/(-455)*78265 - (-6)/7 prime?", "a": "True" }, { "q": "Let g(r) = 240*r - 128. Let t(x) = -120*x + 65. Let b(y) = -3*g(y) - 7*t(y). Is b(8) prime?", "a": "False" }, { "q": "Suppose -6*h + 18 = -24. Suppose 5*u + 2*n - 6050 = h*n, -5 = -5*n. Is u a composite number?", "a": "True" }, { "q": "Let u(c) = 417*c**2 - 14*c - 451. Is u(-18) composite?", "a": "False" }, { "q": "Let r be 20/(27/6 + -4). Let i = -10 + r. Suppose -7*y + 2*y + 78 = 3*d, i = d + 3*y. Is d a prime number?", "a": "False" }, { "q": "Suppose -2*j + 0*v = 4*v + 26, 5*j + 47 = -v. Is (3/j)/((-1)/9) + 112 a composite number?", "a": "True" }, { "q": "Let p(a) = a**2 - a + 3. Suppose 4*w + 1 = 5*d - 2, 9 = 3*d. Suppose -19 = 5*v - 2*v - 2*i, -10 = v + w*i. Is p(v) a composite number?", "a": "False" }, { "q": "Suppose -3*p + 15*n - 17*n + 96313 = 0, 128415 = 4*p + 5*n. Is p prime?", "a": "False" }, { "q": "Suppose -5*l - 400701 = -4*g, -27*g - 2*l + 300497 = -24*g. Is g composite?", "a": "False" }, { "q": "Let q(k) = 2731*k - 605. Is q(18) a composite number?", "a": "True" }, { "q": "Let g(k) = 4485*k - 1262. Is g(11) a composite number?", "a": "False" }, { "q": "Suppose -18*b = -17*b - 3786. Suppose -5*v + b = v. Suppose 19*i = 18*i + v. Is i composite?", "a": "False" }, { "q": "Suppose -4*b = i - 2*i - 20, -2*b + 2*i + 10 = 0. Let l be 955/(-4 + 0 + b). Suppose 0 = -6*u - l + 3037. Is u a composite number?", "a": "False" }, { "q": "Let a = 184 - 169. Is ((35/a)/(-7))/(1/(-3687)) a prime number?", "a": "True" }, { "q": "Suppose 538960 = 5*m - f, 4*f = 4*m - 320527 - 110657. Is m a prime number?", "a": "True" }, { "q": "Suppose 0 = -4*i + 341 + 235. Let w = 398 - i. Is w a composite number?", "a": "True" }, { "q": "Let m = -11451 + 6501. Let j = -1657 - m. Is j a prime number?", "a": "False" }, { "q": "Let f(w) = -w**3 - 6*w**2 - 2*w + 4. Let c be f(-5). Is (-15409)/c - 104/(-572) a prime number?", "a": "False" }, { "q": "Suppose 3*l = 3*z - 99, z + z + 2 = 0. Let w be (0 - -10)*(-16 - (-412)/8). Let f = w + l. Is f composite?", "a": "True" }, { "q": "Is (-168)/(-12)*(-6369)/(-54) - 4/18 prime?", "a": "False" }, { "q": "Let n be 155834/8 + ((-91)/(-28))/(-13). Suppose -4984 + n = 13*d. Is d composite?", "a": "True" }, { "q": "Let v be 109/(-3)*(-20 - -17). Let c = v + 448. Is c composite?", "a": "False" }, { "q": "Suppose 0 = -2*l - f - 5185 + 24256, -19081 = -2*l - 3*f. Is l composite?", "a": "False" }, { "q": "Let t(u) be the third derivative of -19*u**6/5 - u**5/15 + u**4/8 + u**3/3 - 8*u**2. Let a be t(-2). Suppose 17*p - a = 13*p. Is p composite?", "a": "False" }, { "q": "Suppose -5*f + 46*z - 41*z + 691485 = 0, -3*f - 4*z = -414926. Is f a composite number?", "a": "True" }, { "q": "Suppose 0 = -y - y + 8. Let o be -8 - (y - 11 - -3). Is 1*1/(1/(-1588)*o) a prime number?", "a": "True" }, { "q": "Let t = 105 + -100. Suppose -v + 1631 = -2*w, -5*v + t*w = -0*w - 8175. Is v prime?", "a": "False" }, { "q": "Let r(v) = -3652*v + 59. Is r(-23) composite?", "a": "True" }, { "q": "Let o(h) = 1806*h - 19. Let k be ((-3)/(-2))/(8/(560/15)). Is o(k) a composite number?", "a": "True" }, { "q": "Let j = 29112 - 13153. Is j prime?", "a": "True" }, { "q": "Let a be 0 + (-3 - -2)/(5/(-60)). Let i be (-5)/((-15)/a) + 2. Suppose 1695 = -3*h + i*h. Is h a composite number?", "a": "True" }, { "q": "Let b = -4949 + 11676. Let y = 12164 - b. Is y composite?", "a": "False" }, { "q": "Let r be 104 + (-1 - -1)*6/(-12). Let h = 154 - r. Suppose -125 = -5*m + h. Is m a composite number?", "a": "True" }, { "q": "Suppose -7*a = 17284 - 346571. Is a a composite number?", "a": "False" }, { "q": "Let h(q) = -37*q - 1. Let o be h(-8). Suppose k - 8 = 3*g, -6 = 5*g + 4. Is (1 + 0)/(595/o - k) a prime number?", "a": "True" }, { "q": "Suppose 0 = -6*w - 0*w + 18. Suppose 0 = -w*j + 1589 + 766. Is j composite?", "a": "True" }, { "q": "Let m(q) = -4*q + 4. Let r be m(-7). Suppose 35*g - 9 = r*g. Suppose g*y - 617 = -4*c, -y - 67 + 276 = 2*c. Is y a prime number?", "a": "True" }, { "q": "Let i(y) = -6*y**2 - 2*y - 1. Let x be i(-2). Let w = x + 43. Suppose -w = 4*n - 914. Is n composite?", "a": "False" }, { "q": "Is (-50608)/(-80)*(35 + 0) prime?", "a": "False" }, { "q": "Let g(l) = -28386*l + 73. Is g(-2) a composite number?", "a": "True" }, { "q": "Let w = -19803 + 35300. Is w a composite number?", "a": "False" }, { "q": "Suppose 5*x = -4*p + 249537, -3*x = 3*p - 273597 + 86445. Is p a composite number?", "a": "False" }, { "q": "Suppose 4*n + 2*m + 28329 = 115149, 0 = 5*n - 3*m - 108503. Is n prime?", "a": "False" }, { "q": "Suppose -2*k - 5*t + 7*t + 14188 = 0, -t = -5*k + 35478. Is (-18 - k)*1/(-2) a composite number?", "a": "False" }, { "q": "Let z(h) = -64*h + 2. Let s be z(-3). Suppose 0 = b + o - s, 3*b + 5*o = 135 + 451. Suppose j = 3*a + a - 261, -3*j + b = 3*a. Is a prime?", "a": "False" }, { "q": "Let g(k) = -k**3 - 6*k**2 - 5*k - 3. Let f be g(-5). Let t(m) = -1076*m - 7. Is t(f) a composite number?", "a": "False" }, { "q": "Suppose -2*s + 1733 = 5*m, 6*m = 3*s + 2*m - 2657. Let z = s + 2216. Is z prime?", "a": "False" }, { "q": "Let d(w) = 15*w**2 - 48*w - 1. Suppose -24 = -3*b - 4*o, -3*b - 16 = -o - 55. Is d(b) a composite number?", "a": "False" }, { "q": "Suppose -60 + 11 = -7*c. Let q = c + 10. Suppose -q - 5031 = -4*i + 3*f, 5*f + 5056 = 4*i. Is i prime?", "a": "True" }, { "q": "Suppose 0 = -t - 5*q + 19828, -21*q - 9 = -24*q. Is t a prime number?", "a": "True" }, { "q": "Suppose 0 = -87*b + 92*b - 3485. Let q = 1238 - b. Is q composite?", "a": "False" }, { "q": "Let z be (38/(-4) + 0)/((-13)/3198). Let y = z - 976. Is y prime?", "a": "True" }, { "q": "Suppose 10*j + 4 - 24 = 0. Suppose 5*r + 2490 = 10*r + 5*a, -2*r + 976 = -j*a. Is r composite?", "a": "True" }, { "q": "Suppose -2*x + 5*r = 91, 0*r - 25 = 5*r. Is (x/6)/(7/(-4137)) composite?", "a": "True" }, { "q": "Let d = -25 - -30. Let x(o) = -o**3 + 3*o**2 + 10*o + 3. Let p be x(d). Suppose 4*u - 3*t = 3365, -2*t = -p*u + 6*u - 2511. Is u a prime number?", "a": "True" }, { "q": "Suppose 32*b = 33*b - 171. Let n = b + 150. Let a = n - 88. Is a a prime number?", "a": "True" }, { "q": "Let k be (3/12 + 5/(-20))/(-3). Is 9/27*(k - (-12639)/1) a prime number?", "a": "False" }, { "q": "Is (-14)/(-12) + -1 + 6703340/168 prime?", "a": "True" }, { "q": "Suppose 0 = -5*b - 3*a + 2223, 5*b - 3*a - 2215 = 2*a. Let w = -30 - b. Is (w/(-15))/(14/35) a prime number?", "a": "True" }, { "q": "Suppose -23403 = -b + 2336. Suppose 13*s = b - 7045. Is s prime?", "a": "False" }, { "q": "Let g(n) = 9*n**3 + 9*n**2 - 22*n + 11. Let a be g(5). Let b = a + -620. Is b a composite number?", "a": "False" }, { "q": "Let y(u) = -1468*u**3 - 2*u**2 + 1. Let k be y(-1). Suppose l - 634 = k. Is l a prime number?", "a": "False" }, { "q": "Suppose m - 14*z = -18*z + 45347, 0 = 2*m - 4*z - 90742. Is m a prime number?", "a": "False" }, { "q": "Is -1 + 14 + 53 + 26731 a composite number?", "a": "True" }, { "q": "Let f = 21 + -14. Let m(n) = 7*n + 18*n**2 - 9 + 2*n + 3*n - 2*n. Is m(f) composite?", "a": "True" }, { "q": "Suppose 140*k = 142*k - 2554. Suppose m = -439 + k. Is m a composite number?", "a": "True" }, { "q": "Suppose 0*a = -a - 25. Let x be 21494/14 + (a/(-35) - 1). Suppose -1580 = -5*q + x. Is q prime?", "a": "False" }, { "q": "Let y = 5135 + -3162. Is y prime?", "a": "True" }, { "q": "Let n be (15/12)/((-2)/(-24)). Suppose -11*f - n*f = -39442. Is f a prime number?", "a": "False" }, { "q": "Let q(t) be the second derivative of 17*t**4/12 + t**3 + 7*t**2 - 5*t + 2. Is q(-5) a composite number?", "a": "False" }, { "q": "Let l = 1034 + 2183. Suppose -3*b = -l - 2270. Is b composite?", "a": "True" }, { "q": "Let m be (-5 - 4)/((-4)/12). Let q be (154/(-6))/(3*(-1)/m). Is -4 - q/(-3) - 4 prime?", "a": "False" }, { "q": "Let h(l) = -l. Let g be h(-5). Suppose 26334 = g*m + m. Suppose -3*k + 6*k + 5*x = 2626, 5*k - m = 4*x. Is k a prime number?", "a": "True" }, { "q": "Let f = -36 - -42. Suppose i = -f*i + 77. Is i a prime number?", "a": "True" }, { "q": "Let b be (-5)/(30/48) - (0 - -2). Let d(u) = -u**2 - 24*u + 9. Let p be d(b). Suppose m + 0 = p. Is m composite?", "a": "False" }, { "q": "Let i be (-25)/(-4) - 3/12. Suppose -i*k - 2084 = -7*k. Suppose -k = -12*w + 8*w. Is w a prime number?", "a": "True" }, { "q": "Let b(s) = 2*s**3 - 7*s**2 + 7*s - 16. Let t be b(5). Suppose 41*j = 39*j + t. Is j composite?", "a": "False" }, { "q": "Let y be -2 + 12/2 - (0 - 1). Suppose -2*u - 55 = y*g + 3*u, 3*g + 15 = 3*u. Let x(p) = 10*p**2 + 7*p - 31. Is x(g) composite?", "a": "True" }, { "q": "Let t(f) = -1567*f + 261. Is t(-38) prime?", "a": "False" }, { "q": "Let b(m) = -802*m - 2. Let q be b(-1). Suppose -46*a = -51*a + 270. Suppose 2*u = -a + q. Is u prime?", "a": "True" }, { "q": "Let d(b) = -66*b + 57. Let l(u) = 197*u - 173. Let c(p) = -7*d(p) - 2*l(p). Is c(9) a composite number?", "a": "True" }, { "q": "Let a = 50 - 28. Suppose a*z - 27*z = -2675. Let o = z - 324. Is o a composite number?", "a": "False" }, { "q": "Let c(s) = 593*s - 167*s + 33 + 120*s. Let x be c(8). Is (2/3)/(18/x) a composite number?", "a": "False" }, { "q": "Suppose k = 48649 + 168318. Is k prime?", "a": "True" }, { "q": "Is 14/(-21)*277239/2*(-11 - -10) a prime number?", "a": "True" }, { "q": "Let z(y) = -6652*y + 1397. Is z(-6) a composite number?", "a": "True" }, { "q": "Suppose 3*d - 9 + 1 = 2*w, -4*d + 20 = 2*w. Suppose 0 = -2*s - i + 79, 73 = 2*s - d*i + 9. Suppose 6*x - 5*x - s = 0. Is x a prime number?", "a": "False" }, { "q": "Let k(z) = -3*z + 46. Let a be k(12). Is 2999*(-5)/a*-2 prime?", "a": "True" }, { "q": "Let h(y) = 9988*y - 1287. Is h(11) composite?", "a": "True" }, { "q": "Suppose 3*q + 9*u = 4*u - 1008, 3*q - 4*u = -981. Let m = -1409 - -939. Let a = q - m. Is a composite?", "a": "False" }, { "q": "Let n be 15386/5 + (-4)/20. Is (4 + 0)*-1 + n composite?", "a": "True" }, { "q": "Let z be (-11 - 4)/(-1*3/9). Let h be 2010/z*(-426)/(-4). Suppose 4*n - 5*f = h, -2*f = 3*n + 2*n - 5971. Is n a prime number?", "a": "True" }, { "q": "Let x = 55875 - -125486. Is x a prime number?", "a": "True" }, { "q": "Let z be 3*(-17)/(306/(-3144)). Let s be 2*(-3)/(-6) - -168. Let i = z - s. Is i prime?", "a": "False" }, { "q": "Suppose 0 = 2*d + x + 12, 12 = -d - d + 3*x. Let s be 0 - (d + 3 - -5). Is 1381/(0 + 1*(3 + s)) prime?", "a": "True" }, { "q": "Let x(a) be the third derivative of 5*a**4/8 - 11*a**3/2 - 12*a**2. Is x(8) a prime number?", "a": "False" }, { "q": "Suppose 5*z = 3*t + 62 + 635, 2*z - 2*t - 278 = 0. Let m = 2377 - z. Is m a composite number?", "a": "False" }, { "q": "Suppose 4*l = 3*l - 4*t - 56, -3*l - 134 = -5*t. Let g = l + 48. Suppose g = -4*y + 50 + 82. Is y a prime number?", "a": "False" }, { "q": "Let m(x) = 1 - 2*x + 11 - 1 + 11*x**2. Let t be m(9). Suppose -4*s + 4*y - 2*y = -t, -2*y = -5*s + 1105. Is s composite?", "a": "True" }, { "q": "Let u(a) = -a**3 + 15*a**2 - 25*a - 4. Let o = 225 + -214. Is u(o) a composite number?", "a": "True" }, { "q": "Let v be 18/(-33) + (-915)/(-165). Suppose 3*r + 2*r = -v*d + 78420, 3*d - 47053 = -4*r. Is d a prime number?", "a": "True" }, { "q": "Is 1/((-3)/(-39)) + 30894 a composite number?", "a": "True" }, { "q": "Let c = -537 - -1609. Suppose -c - 1976 = -8*v. Is v a composite number?", "a": "True" }, { "q": "Let z = 130 - 45. Is 450401/119 + 10/z a composite number?", "a": "True" }, { "q": "Let m(d) be the second derivative of 29*d**3/2 - 11*d**2 + d. Let i = 1762 - 1755. Is m(i) prime?", "a": "True" }, { "q": "Let m = -122 - -116. Is ((-4)/m)/(3*14/35595) a composite number?", "a": "True" }, { "q": "Suppose 68 = -k + 73. Suppose 0*q = -k*q + 50035. Is q composite?", "a": "False" }, { "q": "Suppose -l - 631*k + 627*k = -38045, 0 = 5*l + 4*k - 190161. Is l composite?", "a": "True" }, { "q": "Suppose 6*a = 11 + 25. Let w(i) = 66*i**2 + 4*i + 4. Let s be w(a). Suppose 2*u - 1858 = -5*v, 1284 + s = 4*u + 3*v. Is u a composite number?", "a": "False" }, { "q": "Suppose -33*f - 50*f = -686161. Is f composite?", "a": "True" }, { "q": "Is (-61038)/(-15) + (60/(-50) - -1) a composite number?", "a": "True" }, { "q": "Let u = 1061 - 550. Let c = u + -321. Let w = 293 - c. Is w prime?", "a": "True" }, { "q": "Suppose g + 3*y + 523 = 5*g, -139 = -g - 2*y. Suppose -29 = 5*u - 9, -3*n = -4*u - g. Is n prime?", "a": "False" }, { "q": "Suppose 3*n + 6*z - 3*z = 18867, -4*z - 18846 = -3*n. Suppose 32737 = 9*w + n. Is w a prime number?", "a": "True" }, { "q": "Suppose -s - 4*s = 5*q - 9565, 0 = 3*q. Suppose -5*o + s = 7*p - 5*p, -2*p + 4*o + 1922 = 0. Is p a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*f + 83715 - 6403. Suppose i + 2*i + 3 = 0, -4*i = -4*u + f. Is u prime?", "a": "True" }, { "q": "Suppose -42*p = -47*p + 85. Let b(j) be the first derivative of -j**4/4 + 6*j**3 - 9*j**2/2 - 9*j + 1. Is b(p) a prime number?", "a": "True" }, { "q": "Let t be 668 + ((-15)/(-20))/((-15)/(-40)). Let v = 2409 - t. Is v a prime number?", "a": "False" }, { "q": "Let x be (2/(-6))/((-17)/204). Suppose 5*h = 2*g - 33, 3*g - x*h - 21 = 39. Is (-3)/18 - (-23380)/g prime?", "a": "False" }, { "q": "Let w(t) = -t**2 - 9*t - 6. Let j be w(-3). Let b(d) = 3*d - 33. Let h be b(j). Is h - 3/3 - -555 a composite number?", "a": "False" }, { "q": "Suppose 46*t - 5 = 45*t, 3*t - 63989 = -2*s. Is s prime?", "a": "False" }, { "q": "Let z(k) = 1333*k + 5. Let a(m) = 667*m + 2. Let c(v) = -5*a(v) + 3*z(v). Let i(p) = 221*p + 2. Let l(x) = 3*c(x) - 8*i(x). Is l(1) a composite number?", "a": "False" }, { "q": "Suppose -3*d = -4479 - 96. Let j = 6444 - d. Is j prime?", "a": "True" }, { "q": "Let c = -1015 + 3219. Suppose 228 = 2*s - c. Suppose 4*x + 4*a = s, -3*a = -5*x - 0*x + 1544. Is x composite?", "a": "False" }, { "q": "Let r be 1/(-8) - 343596/(-96). Suppose 49*p + r = 52*p. Is p composite?", "a": "False" }, { "q": "Suppose -4*z + 5*x + 6731 = 0, -4*z + 6737 = 4*x - 3*x. Let d = 2651 - z. Is d composite?", "a": "False" }, { "q": "Is 0 + (-1 + -3)*2 - -116589 a composite number?", "a": "True" }, { "q": "Let i(o) = o**3 - 7*o**2 + 9. Let z be i(7). Suppose -p - 4*v + 9*v = 67, 3*v = -z. Is (p/(-6))/((-2)/(-30)) composite?", "a": "True" }, { "q": "Let r = 80574 - 37543. Is r composite?", "a": "True" }, { "q": "Let x(a) = -a**2 - 14*a + 13. Let h be x(-13). Suppose -3*f - c - 5 = 5, 5*f = -4*c - h. Is ((-3)/f)/((-6)/(-20))*7 prime?", "a": "False" }, { "q": "Is 13*25/(-3250) - (4908633/10)/(-3) a prime number?", "a": "True" }, { "q": "Let g be ((-6)/8)/((-7)/(-2044)). Suppose 2*i - 460 = -2*k, -i + 2*k + 221 = -0*i. Let z = i - g. Is z a prime number?", "a": "False" }, { "q": "Suppose 2 = t - i, 4*t = t + i + 4. Let k be 2 + t - (-5)/(-1 + 2). Let m(n) = 51*n - 1. Is m(k) prime?", "a": "False" }, { "q": "Let r = 24 - -32. Let f = -30 + r. Is 1028/6*39/f a prime number?", "a": "True" }, { "q": "Let b = -106 + 62. Let g = 135 - b. Is g a composite number?", "a": "False" }, { "q": "Suppose -4*l + 1091 = -5*r, 370 = l + r + 104. Let d = l - 68. Is d a composite number?", "a": "True" }, { "q": "Let o = 10161 + -17876. Is -2*1 + 7 + (-3 - o) a prime number?", "a": "True" }, { "q": "Suppose -2*i - 17854 = 4*p - 112552, 3*p = i - 47324. Is i composite?", "a": "False" }, { "q": "Suppose -x + 5*k + 2519 + 873 = 0, 2*x = -k + 6795. Suppose -4*s = -x - 6391. Is s a prime number?", "a": "True" }, { "q": "Suppose -33096 = -3*p - p. Let m = p + -4715. Is m a composite number?", "a": "False" }, { "q": "Let i be 1047*(-1)/11 - 2/(-11). Let n = i + 169. Is n prime?", "a": "False" }, { "q": "Suppose 0 = -4*r + 2*f + 407654, 3*f = -5*r + 381675 + 127865. Is r composite?", "a": "True" }, { "q": "Suppose -4*p = -5*j - 2*p + 11280, -5*p + 6768 = 3*j. Suppose -2*t = 754 - j. Is t a composite number?", "a": "False" }, { "q": "Let n = 124 - 65. Suppose -n*o = -54*o - 34175. Is o prime?", "a": "False" }, { "q": "Let a(v) = 7*v**2 - 70 + 17 + 18 + 10. Is a(-14) composite?", "a": "True" }, { "q": "Suppose -6850 = -3*o + 11318. Let g = -4317 + o. Is g a prime number?", "a": "False" }, { "q": "Suppose 12*l - 11*l = 2. Suppose -g + r + 7 = 0, -r - 3 - 6 = -l*g. Suppose k = 4*y - 237, -y = -g*k + 16 - 77. Is y a prime number?", "a": "True" }, { "q": "Suppose -6 = -y - 2. Let r be y/6 - (-3 + (-2104)/12). Suppose -b = -705 + r. Is b composite?", "a": "True" }, { "q": "Let u = 7292 + 39897. Is u prime?", "a": "True" }, { "q": "Let k = 483993 - 313874. Is k composite?", "a": "True" }, { "q": "Is 8/(-52) - (-3 - (-741996)/(-52) - 1) a composite number?", "a": "True" }, { "q": "Let s(m) = -5*m**3 + 38*m**2 + 27*m + 187. Is s(-21) a prime number?", "a": "True" }, { "q": "Let x = 725 - 345. Suppose x - 3669 = -13*b. Is b a composite number?", "a": "True" }, { "q": "Suppose 20*y - 59608 = 10*y + 2*y. Is y prime?", "a": "True" }, { "q": "Suppose u = 3*f + 780 - 293, 0 = 3*f - 15. Let t = -248 + u. Is t composite?", "a": "True" }, { "q": "Let f(a) = -a**3 - 29*a**2 - 41*a - 1. Let u be f(-28). Suppose -w + u = 2*w. Is w a prime number?", "a": "False" }, { "q": "Let q(l) = 22 - 109*l - 252*l - 65. Is q(-12) a composite number?", "a": "False" }, { "q": "Suppose 2*w - 2*k = 2*k + 24, -3*w = k - 1. Let m(a) = -3*a**3 + 0*a - w*a - 6 + 4. Is m(-3) a prime number?", "a": "False" }, { "q": "Suppose 238*v + 224085 = 253*v. Is v a prime number?", "a": "True" }, { "q": "Suppose 3717*v = 3689*v + 6460132. Is v a composite number?", "a": "False" }, { "q": "Let j(v) = 1200*v**2 + v + 103. Is j(12) a prime number?", "a": "False" }, { "q": "Let o(i) = -221*i**3 + i**2 - 9*i + 10. Let x be o(2). Let u = -513 - x. Is u prime?", "a": "True" }, { "q": "Suppose -3 = -3*u + 4*u. Suppose -3*v + 1011 = 3*y, -1357 = -4*y + v + 4*v. Is 4*(u + y/4) - 3 a prime number?", "a": "False" }, { "q": "Let l(u) = u**3 + 7*u**2 - 2*u + 10. Let k be l(-7). Let g = 44 - k. Suppose i = 17 + g. Is i a composite number?", "a": "False" }, { "q": "Let r(j) = 2*j**3 + 4*j**2 + 4*j - 5. Let k(m) = -m**2 - m + 1. Let w(d) = 5*k(d) + r(d). Let b be w(-1). Is 169 + b*3/2 composite?", "a": "True" }, { "q": "Let v(g) = -g**3 + 9*g**2 - 12*g + 37. Let l be v(8). Suppose -6*c + 13882 = l*c. Is c composite?", "a": "True" }, { "q": "Let a be ((12/21)/(-1))/(12/(-42)). Suppose -5*n + 1 = -3*h + 7, -a = -3*n - h. Suppose o - 2*o = -5*j - 391, n = 5*o + 4*j - 1955. Is o composite?", "a": "True" }, { "q": "Let a = 77908 - 41475. Is a a composite number?", "a": "False" }, { "q": "Suppose -4*j - 24 = 8. Let z(n) = -8*n**3 + 6*n**2 + 11*n + 19. Is z(j) composite?", "a": "True" }, { "q": "Is (-112)/1456 - 483068/(-13) prime?", "a": "True" }, { "q": "Let z = 4 + -6. Let s(b) = -8*b**2 + 212*b - 106. Let u be s(26). Is (u + 0/z)*(-106)/4 a prime number?", "a": "True" }, { "q": "Let f(y) = -200*y + 4 - 79*y - 134*y. Let v be f(-1). Let i = v - 206. Is i composite?", "a": "False" }, { "q": "Let m(j) = 2*j**3 + 36*j**2 - 222*j + 111. Is m(34) prime?", "a": "True" }, { "q": "Suppose 65*a = -61*a + 4865490. Is a prime?", "a": "False" }, { "q": "Let w(k) = -291*k + 554. Is w(-7) a prime number?", "a": "True" }, { "q": "Let c(d) = -d**2 + 251*d - 249*d + 15 - 177. Let s be c(0). Let g = s - -575. Is g a prime number?", "a": "False" }, { "q": "Suppose 5*k - 3 = 7. Let z be 26/14 - k/(-14). Suppose 3*s + z*s = 3275. Is s a composite number?", "a": "True" }, { "q": "Let t(d) = 135*d**2 - 13*d - 439. Is t(-15) a composite number?", "a": "True" }, { "q": "Let z = 19086 - -34211. Is z composite?", "a": "True" }, { "q": "Suppose 475*i + 21123 = 477*i + 5*c, 52798 = 5*i + 3*c. Is i prime?", "a": "True" }, { "q": "Let h = 609484 + -347745. Is h a prime number?", "a": "True" }, { "q": "Suppose -341 = z + 18. Let c = z + 654. Suppose 6*i = i + c. Is i a composite number?", "a": "False" }, { "q": "Suppose 19 = o - 36. Let b(m) = -2*m**2 - 9. Let f be b(4). Let z = o + f. Is z a composite number?", "a": "True" }, { "q": "Let i = 67365 + -20996. Is i composite?", "a": "True" }, { "q": "Let j be ((-6115 - -2)/1)/(-1). Suppose -g + 4583 = 2*g + 4*l, j = 4*g + 3*l. Is (g/(-22))/(2/(-4)) a prime number?", "a": "True" }, { "q": "Suppose 0 = -4*d - 8*d - 5040. Let y = -129 - d. Is y composite?", "a": "True" }, { "q": "Let x(s) = 627*s + 58. Let u be x(6). Let l = -2355 + u. Is l prime?", "a": "False" }, { "q": "Is 8279 - (-15 - 9) - (-7 - -1) prime?", "a": "False" }, { "q": "Let v(y) = 2*y**2 - 6*y + 67. Let m(s) = 3*s**2 - 10*s + 134. Let p(k) = -6*m(k) + 11*v(k). Is p(-8) a prime number?", "a": "False" }, { "q": "Suppose -19*m + 17*m - 4*u + 78710 = 0, -3*u - 118092 = -3*m. Is m composite?", "a": "True" }, { "q": "Let x(d) = -202*d**3 + 22*d + 79. Is x(-5) a prime number?", "a": "True" }, { "q": "Suppose -4*a + 13 = x + 5, -3*x - 5*a - 4 = 0. Let u(r) = r**2 + 12*r + 18. Let z be u(x). Let b(p) = -p**3 - 13*p**2 - p - 7. Is b(z) composite?", "a": "True" }, { "q": "Is -19 + (-3920)/(-208) - (-4316862)/26 a prime number?", "a": "False" }, { "q": "Let p be (2/(-1))/(-6 + 7). Let v be (2 - -1 - 5)*p. Is (-3035)/(-55) - 1*v/22 a composite number?", "a": "True" }, { "q": "Let v be (8031/2 - 2)*-2. Let l = v + 12448. Is l a prime number?", "a": "True" }, { "q": "Suppose 115 = 4*h - 9*h. Let c = h - -26. Suppose c*m - 2720 = -m + 3*l, -m + 4*l + 667 = 0. Is m prime?", "a": "True" }, { "q": "Let i(w) = 4*w**3 - w**2 + 4*w + 10. Let v = -80 - -87. Is i(v) prime?", "a": "True" }, { "q": "Suppose -4*d + 2*d - 45 = 3*i, i - 1 = 0. Let g(x) = 7*x**2 - 12*x + 47. Is g(d) prime?", "a": "False" }, { "q": "Suppose 4*o + 8 = w, 2*w - 7 = 3*o + 4. Suppose -w*m - 4*y = -4866 + 914, -5*y - 2940 = -3*m. Is m prime?", "a": "False" }, { "q": "Suppose 0 = 4*p + 5*j - 28509, 3*p = -p - 2*j + 28494. Is p a prime number?", "a": "True" }, { "q": "Let l be (-12)/18 + ((-47212)/(-6) - 2). Suppose -a = 2*o - 13460, 1131 = -o - 3*a + l. Suppose -1461 + o = 4*y + q, 1317 = y + 5*q. Is y a composite number?", "a": "True" }, { "q": "Let p(a) = -a**3 - 4. Let i be p(-2). Suppose 12 = 4*h, -i*h + 16 = 2*x + 4. Suppose x = -t + 226 + 451. Is t a prime number?", "a": "True" }, { "q": "Suppose 9*o - v = 13*o + 8, -5*o + 11 = -4*v. Is ((-9)/o)/((-9)/(-1047)) composite?", "a": "True" }, { "q": "Let m = 19 - 16. Let s(j) = -52*j - 13. Let b(u) = -51*u - 12. Let r(p) = -5*b(p) + 4*s(p). Is r(m) prime?", "a": "True" }, { "q": "Suppose 2*u - 3*u + 5816 = -2*b, -4*u + 23308 = 3*b. Let q = u - 713. Is q a prime number?", "a": "False" }, { "q": "Let g(a) = 745*a - 38. Let t be g(-8). Let c = -3293 - t. Is c prime?", "a": "False" }, { "q": "Let i(l) = 101*l**2 - 14*l - 13. Let t(u) = 203*u**2 - 27*u - 25. Let j(z) = -11*i(z) + 6*t(z). Is j(-2) a prime number?", "a": "False" }, { "q": "Let r = -21 - -39. Suppose 2*v + 0*v = r. Is v/(-45) - (-192)/10 prime?", "a": "True" }, { "q": "Suppose 7*x = 5*x + 40. Suppose -2*b + x = 2*b. Suppose b*m = 701 + 2984. Is m a composite number?", "a": "True" }, { "q": "Suppose -4*h - a + 15 = -3*h, h - 3*a = 23. Suppose -h*s + 286 = -15*s. Is s prime?", "a": "False" }, { "q": "Let k = 132082 + -60605. Is k a prime number?", "a": "False" }, { "q": "Let q(d) = 1828*d - 267. Is q(11) composite?", "a": "False" }, { "q": "Suppose 3*j - 8*j = 40. Is (j*1/(-4))/((-6)/(-9753)) a composite number?", "a": "False" }, { "q": "Suppose 0 = 10*x - 8641 - 3159. Let m(f) = -12*f**2 - 7*f - 3. Let w be m(-6). Let i = x + w. Is i a composite number?", "a": "False" }, { "q": "Let h(p) = -17*p**3 - 28*p**2 + 39*p - 83. Is h(-25) a prime number?", "a": "True" }, { "q": "Let y = 139830 + -47561. Is y composite?", "a": "False" }, { "q": "Suppose 5*t - 2*t - 819 = 0. Let y = 2054 - t. Is y prime?", "a": "False" }, { "q": "Let z = 1558 + -1075. Let d be (13 - 12)/(2/536 - 0). Let q = z + d. Is q a prime number?", "a": "True" }, { "q": "Let y(w) = -138*w + 63. Let n be y(-22). Let r = n - 266. Is r a prime number?", "a": "True" }, { "q": "Let x be 3 + (12 + -8)*(-3)/(-4). Let r be (-2)/(-8)*29 - x/24. Suppose -r*q - 771 = -10*q. Is q a prime number?", "a": "True" }, { "q": "Is (3 + -1 + 12/(-9))/(12/386406) a composite number?", "a": "False" }, { "q": "Suppose -3*d = 77 - 77. Suppose d = 17*a - 5*a - 5988. Is a composite?", "a": "False" }, { "q": "Let r = 2 - -5. Let m(b) = -236*b + 6. Let t be m(r). Let l = t - -2363. Is l composite?", "a": "True" }, { "q": "Suppose -3*c + 8 = -0*c - 2*x, x = -c + 1. Suppose -4*t + 3*b + 10008 = c*b, -2*b - 10004 = -4*t. Is t prime?", "a": "True" }, { "q": "Suppose o = -4*o - 6270. Let y = 2146 + o. Let f = y - -1029. Is f a prime number?", "a": "False" }, { "q": "Suppose 2*c = -3*v + 2134, 13*c - 9*c - 2840 = -4*v. Suppose v = -7*j + 3843. Is j a composite number?", "a": "True" }, { "q": "Let g(w) = -27*w + 31. Let b(y) = 8*y + 4. Let o be b(4). Let j = o - 46. Is g(j) prime?", "a": "False" }, { "q": "Let q(h) be the first derivative of -h**4/4 - 5*h**3 + 13*h**2/2 - 6*h - 16. Let j be q(-16). Is ((-8204)/j)/(4/(-6)) prime?", "a": "True" }, { "q": "Let q(r) = -32*r**3 - 11*r**2 - 5*r + 29. Is q(-11) a composite number?", "a": "True" }, { "q": "Let q = -13026 + 50717. Is q a prime number?", "a": "True" }, { "q": "Let d(p) = 2240*p + 16. Let w be d(3). Suppose -4*r + 11984 = 4*n, -3*r + 5251 = 4*n - w. Is n a prime number?", "a": "True" }, { "q": "Let v(r) = -9929*r - 914. Is v(-11) composite?", "a": "True" }, { "q": "Let i be -10*(-2)/8*2. Suppose -5*m = 5*y - m - 6825, 5*y - 6780 = i*m. Is y composite?", "a": "False" }, { "q": "Let m(x) = 4*x**2 + 54*x - 27. Let g be 2/6*(-9 - 48). Is m(g) prime?", "a": "False" }, { "q": "Let u(g) = -g**3 - 7 - 2*g + 5*g**2 + 6 - 2. Let y be u(4). Is 928/y + (-24)/40 a prime number?", "a": "False" }, { "q": "Let l(d) = 112*d + 125. Let w(y) = -28*y - 31. Let f be 10 - (1 - 2/1)/(-1). Let k(h) = f*w(h) + 2*l(h). Is k(-13) a composite number?", "a": "True" }, { "q": "Is 25 + -6 + -17 + (14902 - 1) a composite number?", "a": "True" }, { "q": "Is (1893/(-2))/(87/(-174)) prime?", "a": "False" }, { "q": "Is (2/(-3))/(10*6/(-7280730)) a composite number?", "a": "False" }, { "q": "Is (-297)/33 + -1 + 56177 prime?", "a": "True" }, { "q": "Suppose -2*l + 5*m + 15219 = 0, 0 = -5*l + 5*m + 17852 + 20188. Is l composite?", "a": "False" }, { "q": "Suppose -8*n = -2*n. Suppose 5*m + 6625 = -n*m. Let p = m - -1980. Is p composite?", "a": "True" }, { "q": "Suppose a = -c + 7210, -4*c + 5*c = a - 7200. Suppose -a = -5*t + 1600. Is t composite?", "a": "True" }, { "q": "Let z = 35204 - 18205. Is z a prime number?", "a": "False" }, { "q": "Is (-5)/20*(0 - -2) - (-1161480)/48 a composite number?", "a": "False" }, { "q": "Let q(d) = 46*d**2 + 9*d + 115. Is q(-14) composite?", "a": "True" }, { "q": "Suppose 21582 = -9*t + 10*t - 5*o, 4*t = -2*o + 86218. Is t composite?", "a": "False" }, { "q": "Let r = 128 - 124. Suppose -2*t = 3*n - 7607, -r*t = 4*n + 1330 - 11466. Is n prime?", "a": "True" }, { "q": "Let m(z) = z**3 - 3*z - 1. Let g be m(2). Let j be (-1 - g - -1)*-2. Suppose 0 = j*y + 1 - 607. Is y a composite number?", "a": "True" }, { "q": "Let u = -130 + 134. Is (-818)/(-4)*(-6 - (-4 - u)) composite?", "a": "False" }, { "q": "Let p(a) = -13 + 0*a**2 + 21*a**3 + 19 - 3*a**2 - 14*a + 7. Is p(6) a composite number?", "a": "False" }, { "q": "Suppose 0 = -16*h + 14*h - 4*v + 10, 23 = -5*h + 2*v. Is (-16806)/(-4) - h/(-6) a prime number?", "a": "True" }, { "q": "Let w(s) = -3*s**3 - s**2 + s. Let o be w(1). Let q be -1*6*6/(-6). Is (-3 - -9 - o)*118/q a prime number?", "a": "False" }, { "q": "Let t(q) = q**2 + 9*q + 10. Let m(p) be the third derivative of p**5/60 - p**4/3 + p**3/2 + p**2. Let x be m(6). Is t(x) composite?", "a": "True" }, { "q": "Suppose -12*l = 10*l - 8250. Suppose -7*s - l = -14333. Is s a prime number?", "a": "False" }, { "q": "Let m(h) = 691*h**2 - h - 47. Is m(-5) prime?", "a": "False" }, { "q": "Let d(r) = r**3 - r**2 - r - 10. Let c be d(0). Is (-3157)/(-5) - (-4)/c composite?", "a": "False" }, { "q": "Suppose -22*y - 34354 + 87281 = -996451. Is y composite?", "a": "False" }, { "q": "Let d = -7130 - -22829. Suppose 3*p - d = -r + 12023, 0 = 2*p - 4*r - 18458. Is p a prime number?", "a": "True" }, { "q": "Suppose -3*j + 57548 = r, -31*r = -j - 30*r + 19176. Is j a composite number?", "a": "False" }, { "q": "Let w(b) = -85*b - 17. Let f be w(-10). Suppose 0 = 16*c - f + 241. Is c a prime number?", "a": "True" }, { "q": "Let t(i) be the second derivative of i**4/3 - 5*i**3/3 + 13*i. Let n be t(-15). Suppose 4*g = 2*d - 2094, -d + 3*g = -0*g - n. Is d a prime number?", "a": "False" }, { "q": "Suppose 5*r = 3*d + 487534, 5*r - 701355 + 213827 = d. Is r composite?", "a": "True" }, { "q": "Let y(z) = z**3 + 4*z**2 + 4*z + 5. Let p be y(-3). Let d(j) = 41*j**3 + j**2 + j + 3. Let s be d(p). Suppose -s = -c + 2*b, 2*c - 647 = -0*c - 5*b. Is c prime?", "a": "True" }, { "q": "Let z(m) = -412*m - 85. Let j(h) = -205*h - 42. Let q(s) = 13*j(s) - 6*z(s). Is q(-5) prime?", "a": "True" }, { "q": "Suppose 0*t - 1 = -2*t + 5*o, 0 = -5*t + 3*o + 12. Let k(f) = -4*f**t - 3*f + 7*f**2 + 3*f**3 - 3 + 6*f**3 - 4. Is k(4) prime?", "a": "False" }, { "q": "Suppose 3541*k - 3531*k = 517490. Is k a prime number?", "a": "True" }, { "q": "Let r = 894 - 27. Suppose -r - 570 = -d. Is d a composite number?", "a": "True" }, { "q": "Suppose -2*a + 4842 = 2*d - 2670, 3776 = a - 3*d. Is a a composite number?", "a": "False" }, { "q": "Let o(p) = p**2 + 3*p + 9. Let f be o(-6). Let d(h) = 7*h - 47. Let y be d(-1). Is (f/y)/((-1)/(-914)*-1) a composite number?", "a": "False" }, { "q": "Suppose 5*o = 10, 3*y + 2*o = 2*y + 8. Suppose 4*d = -16, -888 = 2*f - 4*d - 3406. Suppose -y*l = 375 - f. Is l composite?", "a": "True" }, { "q": "Let b(i) = 34*i + 2*i**2 + 9 - 45*i + 6. Is b(14) a composite number?", "a": "True" }, { "q": "Is (-2)/12*-12 - -87907 a composite number?", "a": "True" }, { "q": "Let o = 4595 - -32678. Is o prime?", "a": "True" }, { "q": "Suppose 1675140 - 19385115 = -135*q. Is q a composite number?", "a": "True" }, { "q": "Suppose 0 = 3*x + 9*b - 414339, -2*x + 215989 + 60209 = -b. Is x composite?", "a": "False" }, { "q": "Suppose -17*y + 14*y = -291. Suppose 24*i = 25*i - y. Is i prime?", "a": "True" }, { "q": "Let f(s) be the third derivative of -s**6/120 + s**5/60 + s**4/12 + 307*s**3/6 + 2*s**2. Suppose -20*p + 39*p = 0. Is f(p) prime?", "a": "True" }, { "q": "Let r be (-2)/((18/176376)/(9/(-8))). Suppose -23*h = -26*h + r. Is h prime?", "a": "True" }, { "q": "Let s be -2*((-3)/(-18)*3 + 238). Let x = -283 - s. Is x prime?", "a": "False" }, { "q": "Suppose -89015 = -20*c + 560325. Is c a composite number?", "a": "False" }, { "q": "Let r = 21 + -17. Suppose 7*w - r = 3. Is ((-77)/22)/(w/(-122)) composite?", "a": "True" }, { "q": "Let n = 161 + -153. Suppose -3545 = -x - 3*r, 2*r = -0*r - n. Is x prime?", "a": "True" }, { "q": "Suppose 0*w = 4*k - 4*w + 20, 4*w - 20 = -k. Suppose k = g - 0*g - 3. Suppose 4*o = g*f - 1381, 4*f + 3*o - 1416 = f. Is f a composite number?", "a": "False" }, { "q": "Suppose 3*l = 2*w - 290 - 68362, -102989 = -3*w - l. Is w a prime number?", "a": "False" }, { "q": "Suppose -5*j = 1 - 1. Let n(b) = -3*b - 1482. Let a be n(j). Let o = a - -3241. Is o a prime number?", "a": "True" }, { "q": "Let b be (6 + -18)*(-1)/((-9)/60). Let r be (-2)/9 + b/(-36). Suppose r*z - 319 - 1387 = 0. Is z composite?", "a": "False" }, { "q": "Suppose -v - 1 = 3. Let o be -10 - (-6 + 3) - (-26 - 1). Is (634/v)/(5/o*-2) a prime number?", "a": "True" }, { "q": "Let l(m) = -2*m**3 - 49*m**2 - 24*m + 5. Let f be l(-24). Let q(s) = 166*s - 31. Is q(f) composite?", "a": "True" }, { "q": "Let u be (-12)/(-8) - (-2)/4. Suppose -u*b + 8*b = 0. Suppose -8*r + 4*r + 1996 = b. Is r a composite number?", "a": "False" }, { "q": "Suppose -130*g = -51*g - 50399867. Is g a prime number?", "a": "False" }, { "q": "Let u(p) = -36635*p + 808. Is u(-3) a prime number?", "a": "False" }, { "q": "Let w(t) = 24*t + 16. Let q(a) = 25*a + 17. Let h(f) = f**2 + 13*f + 35. Let c be h(-10). Let b(l) = c*q(l) - 6*w(l). Is b(-18) a composite number?", "a": "False" }, { "q": "Let q(j) = -105*j**3 - 11*j**2 + 30*j + 5. Is q(-6) a prime number?", "a": "True" }, { "q": "Let x = 293 + 4124. Is x a prime number?", "a": "False" }, { "q": "Is ((-1176300)/140 - 1/(-7))*-1 prime?", "a": "False" }, { "q": "Let q = 13955 + -1812. Is q composite?", "a": "False" }, { "q": "Is -3 - ((-18)/(-45) - 50112/5) a prime number?", "a": "False" }, { "q": "Let q(w) = -w**3 + 5*w**2 - w + 5. Let j be q(0). Suppose -13605 = -j*a + 2*h, 2*a - 4*a - 5*h = -5413. Is a a composite number?", "a": "False" }, { "q": "Suppose 17*x = 21*x - 52. Suppose -x*r = -4*r - 19449. Is r composite?", "a": "False" }, { "q": "Suppose 5*b = -2*w - 38, 2 - 14 = 3*b. Let n be (-2*3)/((162/(-12))/w). Is (157 - 0) + n + 5 a prime number?", "a": "False" }, { "q": "Let c = -199 - -223. Is ((-3)/c)/(2/(-8))*3802 a prime number?", "a": "True" }, { "q": "Let r = -4925 - -3390. Let p = 2136 - r. Is p a composite number?", "a": "False" }, { "q": "Let w = -7994 - -23041. Is w prime?", "a": "False" }, { "q": "Suppose -479827 - 1090330 = -34*i - 39*i. Is i a composite number?", "a": "True" }, { "q": "Suppose 0 = 4*t + m + 62746, 4*t - 6*m + 62756 = -2*m. Let g = -5188 - t. Is g composite?", "a": "False" }, { "q": "Let z = 65 + -65. Suppose z = -4*b + 11337 + 1411. Is b composite?", "a": "False" }, { "q": "Let a(k) = -140*k**3 + 23*k**2 + 85. Is a(-8) prime?", "a": "True" }, { "q": "Suppose 0 = -k + w - 3*w + 5, 11 = -2*k + 3*w. Let p = k - -5. Suppose 1137 = -x + 4*x - 2*m, m - 1516 = -p*x. Is x composite?", "a": "False" }, { "q": "Let a(c) = -4*c - 2. Let x be a(0). Let q be 0/(x/(-4)*4/(-2)). Suppose -2*k + 5*g = -52, q = k - 5*k - 3*g + 130. Is k composite?", "a": "False" }, { "q": "Suppose -15 = 3*g, -2*g = 7*i - 5*i - 85932. Is i composite?", "a": "True" }, { "q": "Suppose 78*b + 38*b - 1631587 = 37*b. Is b a prime number?", "a": "False" }, { "q": "Let f = 32100 - 14197. Is f prime?", "a": "True" }, { "q": "Suppose 8850*p + 202441 = 8851*p. Is p composite?", "a": "False" }, { "q": "Suppose 0 = -11*y - 11 - 0. Is (0 + -1)*-2411 - (y - -5) a prime number?", "a": "False" }, { "q": "Suppose 0 = -10747*d + 10767*d - 385780. Is d a composite number?", "a": "False" }, { "q": "Let g(y) = -4*y - 9. Suppose 3*m + 76 + 2 = 3*b, m - 5*b = -10. Let h = m + 25. Is g(h) a prime number?", "a": "True" }, { "q": "Let w be 3*(1168/6)/(-4). Let x = 428 + w. Suppose -3*b + 2*q = -80 - 93, 0 = -5*b - 3*q + x. Is b prime?", "a": "False" }, { "q": "Is ((-1)/(-5) - (-4160424)/40) + (-2)/(-10) composite?", "a": "True" }, { "q": "Let p = -1452 + 49075. Is p composite?", "a": "False" }, { "q": "Let s = 12237 + -6934. Is s a composite number?", "a": "False" }, { "q": "Let s(a) = 1242*a + 1435. Is s(71) prime?", "a": "False" }, { "q": "Suppose -o + 13142 = -5*v - 995, -4*o = 2*v - 56548. Is o composite?", "a": "True" }, { "q": "Suppose -2*z + 13927 = 2041. Suppose -3*r + 13600 = g, -z = -r - 2*g - 1408. Is r a prime number?", "a": "False" }, { "q": "Suppose 3*g = -2*n + 14285 + 28120, 0 = 3*g + 4*n - 42399. Is g a composite number?", "a": "True" }, { "q": "Let k be (-2)/6*(-8 - -8) + 12. Suppose -5*d - s + 10 = 0, s - k = d + 4*s. Suppose 5*n - 3154 = -4*j + d*j, -2529 = -4*n + 5*j. Is n a composite number?", "a": "False" }, { "q": "Suppose 0 = -3*u + 4*y + 9806 - 2900, -4*y + 2302 = u. Is u prime?", "a": "False" }, { "q": "Let z(r) be the third derivative of -29*r**4/3 + 13*r**3/2 - 5*r**2. Let s be z(20). Is 1/6 + 2 + s/(-6) a composite number?", "a": "False" }, { "q": "Let n(t) = -22*t**2 + t + 9. Let j be n(3). Let x = -149 - j. Is x a prime number?", "a": "True" }, { "q": "Let c = -98374 + 143537. Is c prime?", "a": "False" }, { "q": "Let f = 92057 - 46710. Is f composite?", "a": "True" }, { "q": "Suppose -551 = 5*q + 299. Let t = 889 + q. Is t a prime number?", "a": "True" }, { "q": "Let l(f) = f**2 + 13*f + 23. Let k be l(-10). Let t(b) = b**3 + 9*b**2 + 14*b. Let r be t(k). Suppose z - 5*a = -23 + 297, r = -5*a - 15. Is z composite?", "a": "True" }, { "q": "Let d be (-8)/28 + 1251/(-7) + -1. Let l = d + 1087. Is l a prime number?", "a": "True" }, { "q": "Let c(u) = u**2 + u - 6. Let i be c(-3). Suppose i = -3*b + 2*h + 8333, -5*h = -0*h + 5. Is b composite?", "a": "False" }, { "q": "Let q = 39099 + -22504. Is q prime?", "a": "False" }, { "q": "Suppose -4*u - 283 = -415. Suppose 30*z + 7737 = u*z. Is z a prime number?", "a": "True" }, { "q": "Let i(l) = 700*l + 1349. Is i(20) prime?", "a": "True" }, { "q": "Let n = 23 + -39. Let u = -14 - n. Suppose u + 2 = r, -1892 = -4*q - 4*r. Is q a composite number?", "a": "True" }, { "q": "Let s(b) = -3*b**3 + 3*b**2 - 12*b + 19. Suppose -j - 18 = 3*a + 12, -5*a = -4*j + 67. Is s(a) a prime number?", "a": "True" }, { "q": "Suppose 6*o - f - 17 = 2*o, 5*o - 22 = 2*f. Suppose 6*w - o*w = -2*u + 8746, -5*w = -u - 21865. Is w prime?", "a": "True" }, { "q": "Suppose -23 = -t - 4*i, -3 = i - 4*i. Suppose -5*p - 4 = -t. Let h(o) = 71*o - 2. Is h(p) a composite number?", "a": "False" }, { "q": "Let f be (-12954)/(-4)*24 - -6. Suppose 4*p - 10*p = -f. Is p prime?", "a": "False" }, { "q": "Suppose -4*c + 6994 = 2*x, 0 = 3*x + 1 - 16. Let z = 4325 - c. Is z composite?", "a": "False" }, { "q": "Suppose -133103 + 47758 = -5*f + 4*t, 2*t + 85335 = 5*f. Is f a prime number?", "a": "False" }, { "q": "Let y = 16 + -16. Suppose -v + 2*i - 178 = -2*v, 3*v = 5*i + 534. Suppose -2*n + y*n + p + v = 0, -2*p = 0. Is n a composite number?", "a": "False" }, { "q": "Let m = 10224 + -6698. Let k = -877 + m. Is k composite?", "a": "True" }, { "q": "Let i(h) = 20087*h - 52. Is i(3) composite?", "a": "False" }, { "q": "Let a = -492 - -496. Let i = -289 - -427. Is i + (-6 + a - -6) composite?", "a": "True" }, { "q": "Let h(i) = -2182*i + 19. Let w(l) = -2183*l + 22. Let m(f) = -3*h(f) + 4*w(f). Is m(-6) composite?", "a": "False" }, { "q": "Let c = 2170 + -4039. Let b be (-6)/15 + (-13)/5. Is c/12*(-2)/b*-6 prime?", "a": "False" }, { "q": "Suppose 16 = -4*m + 36. Suppose 3*c - 5*f - 6069 = 0, -m*f + 2*f - 4045 = -2*c. Is c a prime number?", "a": "False" }, { "q": "Is (-49711)/(-3)*((-13 - -4) + 8 - -4) a prime number?", "a": "True" }, { "q": "Let x = 185 - 382. Let t = -1549 - -2255. Let k = x + t. Is k a prime number?", "a": "True" }, { "q": "Suppose 11 = c - 5. Suppose -12*m = -8*m - c. Suppose 0 = -u - 5*x + 112, m*x = 2*u - 109 - 73. Is u a composite number?", "a": "False" }, { "q": "Suppose -803703 = -128*o + 1472009. Is o a prime number?", "a": "False" }, { "q": "Let u(l) = 6689*l + 700. Is u(11) a composite number?", "a": "False" }, { "q": "Let p(l) = 0*l - 2*l - l + 8*l + 1. Let w be p(2). Suppose w = 15*a - 14*a. Is a a composite number?", "a": "False" }, { "q": "Let a be (4 - 2)/(44/154). Is 610290/210 + (6/a - 1) a prime number?", "a": "False" }, { "q": "Suppose 0 = 258*q - 264*q - 480. Is (-5)/q*4*5444 a prime number?", "a": "True" }, { "q": "Let n be (-9 - -2)/(8/(-40)). Let k = n + -29. Suppose -v = -4, -k*d + 98 = -3*d - 4*v. Is d prime?", "a": "False" }, { "q": "Suppose -z = -11 - 10. Suppose 0 = -z*l + 10242 + 2085. Is l a composite number?", "a": "False" }, { "q": "Let n = -5121 + 1585. Let u = 363 - n. Is u composite?", "a": "True" }, { "q": "Let h(p) = -7*p - 4*p**3 + 5*p - 4*p - 19 + 2*p**2 - 11*p**2. Is h(-8) composite?", "a": "True" }, { "q": "Is (-1)/5 + (-112)/40 + 2 + 27582 a prime number?", "a": "True" }, { "q": "Let m be 0*(-1 - -3)/12. Suppose 4*f - 4199 = -5*r + 572, -2*r - 2*f + 1910 = m. Is r a prime number?", "a": "False" }, { "q": "Is ((-161)/14)/((-9)/10134) prime?", "a": "False" }, { "q": "Let a be ((-10)/(-8))/((-38)/(-388208)). Suppose 8*o - 11*o + a = -5*u, -4*o = -3*u - 17045. Is o composite?", "a": "True" }, { "q": "Suppose -5*i - 2*z + 20 = 0, -5 + 1 = -i - z. Suppose 4*x = -4, i*x + 0*x = p - 62. Is p a prime number?", "a": "False" }, { "q": "Is (-307901)/(-9) - (10/(-12))/((-105)/28) prime?", "a": "True" }, { "q": "Let s(g) = 173*g**2 + 3*g - 5. Let m be s(-7). Let z = m + -4580. Suppose 12*p - 5*p - z = 0. Is p a prime number?", "a": "False" }, { "q": "Let o = 46 - 46. Suppose o = 31*n - 27*n - 32. Let b(i) = 3*i**3 - 11*i**2 + 4*i - 1. Is b(n) a prime number?", "a": "True" }, { "q": "Let g(x) = -78*x**3 + 4*x**2 + 5*x + 1. Suppose 0 = -13*v + 20*v + 14. Is g(v) a composite number?", "a": "False" }, { "q": "Suppose -16*i - 419700 = -41*i. Is 8/(64/i) + 2/4 composite?", "a": "False" }, { "q": "Suppose 0 = 5*b + 4*n - 662799, 2*n + 372693 + 290130 = 5*b. Is b a prime number?", "a": "False" }, { "q": "Let u be ((-4)/(-10))/(17/85). Suppose -u*r = -h + 2175, 4518 = 3*h + 5*r - 2029. Is h prime?", "a": "True" }, { "q": "Let g(i) = 17*i**2 + 43*i - 44. Let v be g(-19). Suppose 91*j = 87*j + v. Is j a composite number?", "a": "False" }, { "q": "Is (-53418)/(-4)*(156/702)/((-1)/(-3)) a prime number?", "a": "False" }, { "q": "Let p(a) = 166*a**2 + 3*a - 1. Let j be p(2). Suppose -153 = 2*r - j. Let x = 665 - r. Is x a prime number?", "a": "False" }, { "q": "Let b(k) = -3 + 6*k**2 + 5*k - 16*k**2 - 4*k**2 + 19*k**3. Is b(4) a composite number?", "a": "False" }, { "q": "Let k be -589 - 0 - 20/4. Is ((k/(-12))/9)/(2/1124) composite?", "a": "True" }, { "q": "Let s = 94247 + -53830. Is s composite?", "a": "True" }, { "q": "Let f(y) = y**3 - 11*y**2 + 3. Let m be f(11). Suppose 4*n = -5*p + 29785, 0 = 4*n + 6*p - m*p - 29783. Is n composite?", "a": "True" }, { "q": "Let y(j) = -3093*j - 230. Is y(-1) prime?", "a": "False" }, { "q": "Let x(v) = 128*v + 387. Let z be x(-3). Suppose 2*k = j - 3*j + 4, 4*j = 3*k - 6. Is (z + k + -4)/(1/467) a prime number?", "a": "True" }, { "q": "Is 2225/(-125)*(-55925)/5 prime?", "a": "False" }, { "q": "Suppose -5*w = 2*g - 28161, g = 30*w - 26*w + 14048. Let i = g + -9891. Is i a prime number?", "a": "True" }, { "q": "Let c = 17131 + -3933. Suppose 0 = 5*q - 5*d - 17888 + 1398, 4*q + 2*d = c. Is q composite?", "a": "False" }, { "q": "Suppose 12 = 7*g - 5*g. Suppose -380 = -g*f + 22. Is f composite?", "a": "False" }, { "q": "Let p(y) = -y + 4. Let h be p(2). Suppose h*s - 21 = -5. Is (-3446)/(-24)*3 - (-2)/s a composite number?", "a": "False" }, { "q": "Let l = -463278 - -688097. Is l composite?", "a": "True" }, { "q": "Let z(t) = 232*t + 11. Let j = 2 - -12. Suppose 3*i = 2*k - 3*k + j, 3*k = 5*i. Is z(i) composite?", "a": "True" }, { "q": "Let n(m) = m**2 + 5*m - 19. Let p be n(-7). Let o(x) = 14*x**2 - 4*x - 13. Let i(v) = -29*v**2 + 9*v + 27. Let g(l) = 2*i(l) + 5*o(l). Is g(p) prime?", "a": "False" }, { "q": "Let v = 2637 + -3757. Let b = 4131 + v. Is b a composite number?", "a": "False" }, { "q": "Let w = -345 - -148. Let m = w + 690. Is m composite?", "a": "True" }, { "q": "Let q = -1129 - -5201. Suppose 1919 = 2*r - k, -3*k - 1180 = 3*r - q. Let i = 1694 - r. Is i composite?", "a": "False" }, { "q": "Let t(f) = f**3 - 12*f**2 - 15*f + 39. Let z be t(11). Let l = 1784 + z. Is l composite?", "a": "True" }, { "q": "Let t = 25054 - 7163. Is t a composite number?", "a": "False" }, { "q": "Let z = 22372 + -13521. Is z prime?", "a": "False" }, { "q": "Suppose -39 = -9*c - 30. Let z(m) = 1480*m - 3. Is z(c) composite?", "a": "True" }, { "q": "Let p(n) = 209*n - 362*n + 23*n**2 - 5 + 210*n. Is p(-18) prime?", "a": "True" }, { "q": "Suppose 0 = -j + 4, -4*y - 2*j + 41 = 5. Let d be (-3)/(-6)*1722/y. Suppose 2690 = 4*u - g, 3492 = 5*u + 2*g + d. Is u a composite number?", "a": "False" }, { "q": "Let x(g) = 2*g**3 + 7*g**2 - 68*g + 3. Let z(d) = -3*d**3 - 13*d**2 + 135*d - 6. Let f(y) = 5*x(y) + 3*z(y). Is f(17) prime?", "a": "False" }, { "q": "Suppose 0*b - 3348 = 18*b. Let h = 263 + b. Is h a composite number?", "a": "True" }, { "q": "Let b(x) = -x**3 + 60*x**2 + 38*x - 70. Is b(27) a prime number?", "a": "True" }, { "q": "Suppose 146508 = 26*r - 22*r + 2*l, 0 = r - l - 36633. Is r a prime number?", "a": "True" }, { "q": "Suppose -k + 4*b + 6515 = -26740, 99739 = 3*k + b. Is k composite?", "a": "False" }, { "q": "Suppose -27 = -11*o + 237. Is ((-90)/o + 4)/(1/6388) a prime number?", "a": "True" }, { "q": "Suppose -s + 0*s + 3 = 0, 3*s = 2*x + 9. Suppose x = 3*t - 13591 - 4178. Is t a prime number?", "a": "True" }, { "q": "Suppose -328 = -3*s - 1093. Suppose 2*g = -3*h - 2, g - 2*g - 8 = -2*h. Let u = g - s. Is u composite?", "a": "False" }, { "q": "Let h(m) = -655*m - 18. Let k = -94 + 87. Is h(k) prime?", "a": "True" }, { "q": "Suppose 5*d - 9*d - 36 = 0. Let q(b) be the first derivative of -b**4/4 - 8*b**3/3 + 9*b**2/2 + 14*b + 1. Is q(d) a composite number?", "a": "True" }, { "q": "Suppose 4*o + 3*n = -15137 + 298884, -5*o + 354640 = -5*n. Is o prime?", "a": "False" }, { "q": "Let l(u) = 151*u - 19. Let f be l(9). Suppose 0*k - 804 = 3*k + 4*g, 5*k + f = 4*g. Let i = 903 + k. Is i composite?", "a": "True" }, { "q": "Suppose 8*j = 3*j + 7305. Let o be (27/(-6))/((-9)/12). Suppose 2*u - o*u + j = 5*y, -5*y = 5*u - 1460. Is y composite?", "a": "False" }, { "q": "Let c = 203 + -198. Suppose -5*y + 2471 = -x + 7499, -5*y + 24990 = c*x. Is x a composite number?", "a": "False" }, { "q": "Let y = 11 + -3. Suppose -y = 2*z, -z + 5*z + 6 = 2*h. Is 141*(-1)/5*h/3 prime?", "a": "True" }, { "q": "Let x(w) = 110*w + 13. Suppose -n + m + 5 = 0, -10 = -4*n - 2*m + m. Suppose -n*t + 23 = 5. Is x(t) composite?", "a": "False" }, { "q": "Let y = 1476 + -906. Suppose -u - 67 = -y. Is u a composite number?", "a": "False" }, { "q": "Let o = 292874 - 167172. Is o a composite number?", "a": "True" }, { "q": "Let l = -11586 + 24263. Is l composite?", "a": "True" }, { "q": "Suppose 0 = 5*l + 9 - 39. Let p = l - -20. Suppose x = 4*h - 1042 + p, -16 = 4*x. Is h a prime number?", "a": "False" }, { "q": "Let f be -1*(-4 + 5)*(1 - 840). Is f/(((-2)/35)/((-4)/10)) prime?", "a": "False" }, { "q": "Let h(g) = -g**2 - g. Let z(b) = -11*b**2 + 3*b + 5. Let p(o) = 6*h(o) - z(o). Let l(s) be the first derivative of p(s). Is l(10) composite?", "a": "True" }, { "q": "Suppose -q + 33412 + 21149 = -3*t, -4*q - 54576 = 3*t. Let y = -12409 - t. Is y a prime number?", "a": "True" }, { "q": "Suppose 7*n - 7*n - 1163096 = -8*n. Is n a composite number?", "a": "True" }, { "q": "Let g(l) = -52*l + 11. Let p be (-2)/(-11) + 140/(-44). Let s be g(p). Suppose -4*y - 230 = -2*m, 2*y + s = 4*m - 275. Is m composite?", "a": "False" }, { "q": "Let f(v) = -3*v + 444. Let p be f(0). Suppose -4*a - p = -5*a. Let g = a - -425. Is g composite?", "a": "True" }, { "q": "Suppose -14 - 1 = -5*t. Suppose -4*q + 20693 = t*a, -5*a = 4*q - 2637 - 31854. Is a a composite number?", "a": "False" }, { "q": "Let h(u) = 202*u**3 - 3*u**2 - u - 3. Let f be h(-9). Let l be ((f/(-4))/(-5))/(4/80). Is (l/21)/(-5) - (-2)/7 prime?", "a": "False" }, { "q": "Suppose 2*k = 3*b - 15, 2*b - 3*k - 12 = -k. Let x be 14/4 + b/6. Suppose -w = -l + x*l - 98, 0 = 3*l - 9. Is w a prime number?", "a": "True" }, { "q": "Suppose -8*a - 34270 = -18*a. Is a composite?", "a": "True" }, { "q": "Suppose -2*y + 18213 = -3555. Suppose y = 6*b - 19578. Is b a prime number?", "a": "True" }, { "q": "Let f(d) = 8*d - 76. Let p be f(11). Is -1347*(-1 + 0 + 8/p) prime?", "a": "True" }, { "q": "Suppose 0 = 28*p - 31*p + 9. Suppose -4*d + 91 = -5*x + 12, 0 = -3*d + p*x + 60. Is d a composite number?", "a": "True" }, { "q": "Suppose -112*a - 2256 = -7072. Let l = -8 - -118. Let f = l - a. Is f a prime number?", "a": "True" }, { "q": "Suppose -111934 = -4*j + s + 50643, -4*s = 4*j - 162552. Is j prime?", "a": "False" }, { "q": "Let l be (-2)/4 - (-3)/(-2). Suppose 8*c - 2696 = -2632. Is (-179)/c*l*20/5 prime?", "a": "True" }, { "q": "Suppose 10*x + 4229 = 15279. Let h = x - 218. Is h a composite number?", "a": "False" }, { "q": "Suppose 4995034 = 100*d + 2428375 - 5434241. Is d prime?", "a": "False" }, { "q": "Let z(a) = -13*a**3 - 5*a**2 - 54*a - 11. Let o(t) = -4*t**3 - t**2 - 18*t - 4. Let s(n) = 7*o(n) - 2*z(n). Is s(-17) a composite number?", "a": "False" }, { "q": "Is 1 - 58/(-3)*(11/1 - -7588) composite?", "a": "True" }, { "q": "Let s(r) = -2 - 6 + 82*r - r**3 + 4*r**2 - 80*r. Let a be s(4). Is 249/((-12)/(-4 + a)) a prime number?", "a": "True" }, { "q": "Let j be -1 + 35/5 + -6. Suppose j = -2*s - 918 + 4196. Is s composite?", "a": "True" }, { "q": "Let s(b) = 84*b**2 - 559*b + 25. Is s(14) prime?", "a": "True" }, { "q": "Let y(i) = 38*i - 29. Let u be 75/(-25) + (-7)/(-1). Is y(u) prime?", "a": "False" }, { "q": "Let a = -60706 - -118793. Is a prime?", "a": "False" }, { "q": "Suppose -2*q = -6*q - 180. Let w be 1276/14 - 29/203. Let f = q + w. Is f prime?", "a": "False" }, { "q": "Suppose -7110092 = -85*h - 1367067. Is h a prime number?", "a": "False" }, { "q": "Let r(s) = 25*s**2 - 13*s + 155. Is r(-18) a prime number?", "a": "False" }, { "q": "Suppose -72826 - 121834 = -10*n. Is n prime?", "a": "False" }, { "q": "Let n = 337688 - 222505. Is n a composite number?", "a": "False" }, { "q": "Let i(w) = 64*w**3 + 6*w**2 - 9*w + 46. Is i(7) a prime number?", "a": "True" }, { "q": "Is 12*2*(4132 + -22) + 1 + -2 prime?", "a": "True" }, { "q": "Suppose 0 = -2*c - 465*n + 466*n + 369651, c - 184828 = n. Is c prime?", "a": "True" }, { "q": "Let t(v) = 12750*v + 91. Is t(17) composite?", "a": "False" }, { "q": "Suppose -27 = 16*b + 5. Is 851 + (2 - b/(-1)) a composite number?", "a": "True" }, { "q": "Is (155913/(-6))/(5/(-10)) a prime number?", "a": "True" }, { "q": "Suppose c = -v + 2, -5*v - 35 = -12*c + 8*c. Suppose -143 - 27 = -c*h. Is h prime?", "a": "False" }, { "q": "Let r = 2 + 1. Suppose r*n - 4*n = 3*l - 4261, 4*l + 5*n = 5685. Suppose 0 = 6*m - l - 62. Is m composite?", "a": "True" }, { "q": "Suppose 4*i = -4*z - 1638 - 21294, -5728 = z - 4*i. Let g = 827 - z. Is g composite?", "a": "True" }, { "q": "Suppose 2*l + 2474 = 3*s - 504, 4*s - 4009 = -5*l. Suppose 27 = 53*m - 44*m. Suppose -m*j - j = -s. Is j a composite number?", "a": "True" }, { "q": "Suppose -12 = -136*z + 133*z. Suppose -1858 = z*m - 8694. Is m prime?", "a": "True" }, { "q": "Suppose 23*n = -59*n + 7094804. Is n a prime number?", "a": "False" }, { "q": "Suppose 5*l = 5*o + 4175, -1649 = 4*l - 6*l - 5*o. Suppose l = 4*p - x - x, -5*x = 10. Suppose n - i = p, -4*i - 564 = -2*n - 158. Is n composite?", "a": "False" }, { "q": "Suppose 0 = 4*z - 11*n + 14*n - 17762, 6 = 3*n. Is z a composite number?", "a": "True" }, { "q": "Let l(u) = -40*u**3 + 5*u**2 - u - 1. Let n be l(4). Let h = n + 5648. Is h a composite number?", "a": "False" }, { "q": "Let o be -1 + (1 - -10)*1144. Suppose 10*t - 18907 - o = 0. Is t a prime number?", "a": "False" }, { "q": "Let m = -2011 + 20934. Is m prime?", "a": "False" }, { "q": "Let f(w) = -22*w + 35. Let i(a) = -45*a + 70. Let g(j) = 5*f(j) - 3*i(j). Suppose -2*v = -12*v + 120. Is g(v) a prime number?", "a": "False" }, { "q": "Is (-7 + 186/12)*(27005 + -7) a composite number?", "a": "True" }, { "q": "Suppose 0 = -22*u + 1444465 + 872553. Is u a prime number?", "a": "True" }, { "q": "Is (-269155)/10*(-4 - (-10)/5) a composite number?", "a": "False" }, { "q": "Let u be (4 + -2 - -37)/(6/(-126)). Let c = u + 5072. Is c a composite number?", "a": "False" }, { "q": "Let i be 550/(-4)*288/(-60). Suppose 285 + i = 5*s. Suppose 5*y = l + 897, 0 = -0*y - y + 5*l + s. Is y composite?", "a": "False" }, { "q": "Let n be (-6 - (-8 - -4)) + 1978. Suppose 3*c = 5*l + 1639, -n = -4*c + 2*l + 228. Is c a composite number?", "a": "True" }, { "q": "Let n be ((-18)/(-4))/(-3) + (-27)/54. Let p(g) = 1276*g**2 - 5. Is p(n) a composite number?", "a": "False" }, { "q": "Let s = 18 - 39. Let i = -21 - s. Let l(t) = t**2 - t + 115. Is l(i) prime?", "a": "False" }, { "q": "Let p = -137 + 139. Suppose 5*i + 2*c = 1845, 2*c = p*i + 5*c - 727. Is i prime?", "a": "False" }, { "q": "Let v = 46519 - 18980. Is v a prime number?", "a": "True" }, { "q": "Let a(x) be the first derivative of x**4/4 - 6*x**3 + 7*x**2 + 50*x - 45. Is a(23) prime?", "a": "False" }, { "q": "Suppose -4*o + 6 + 2 = 4*w, -4*w + o = 12. Let l(u) = 117*u**2 - 4*u - 9. Is l(w) a composite number?", "a": "False" }, { "q": "Suppose 4*z - 30 = -5*d, -4*d - z - 4*z = -24. Let t be d/8 - (212/(-16) + -3). Let r(c) = c**2 - 15*c - 12. Is r(t) a composite number?", "a": "True" }, { "q": "Suppose -4*w - 6816 - 6246 = -k, -4*k + 3*w = -52183. Is k a prime number?", "a": "False" }, { "q": "Let o = 28 + -23. Suppose o*p + 0*w = w + 4810, p - 966 = w. Is p a composite number?", "a": "True" }, { "q": "Let v = 5181 + -3420. Let w(u) = 7*u - 986. Let k be w(16). Let m = k + v. Is m a composite number?", "a": "False" }, { "q": "Let z(t) = -6*t**2 + 13*t**2 - t**3 - 3*t + t + 6 + 0*t**3. Let o be z(7). Is ((-109)/2)/(-2 + (-14)/o) composite?", "a": "True" }, { "q": "Let y(s) = -2*s**3 - 3*s**2 + 4*s. Let m be y(-3). Suppose -2*i + 5*i = -3*o + m, o = i + 9. Is o a composite number?", "a": "False" }, { "q": "Let i(r) = r**2 + 5*r - 32. Let z be i(-9). Suppose -2*a - z*o + 732 = -650, -5*o = 0. Is a a composite number?", "a": "False" }, { "q": "Suppose -7*n = -39 + 4. Suppose -n*i - 3561 = -19246. Is i composite?", "a": "False" }, { "q": "Suppose -5*h + 1242 = -48. Suppose h*r - 4708 = 254*r. Is r a prime number?", "a": "False" }, { "q": "Suppose 4*r + 2*o = 8, 0*o - 2*o = -5*r + 19. Suppose 0 = -5*h + r*b + 2275, 4*h + b = -429 + 2232. Let p = 1033 - h. Is p a composite number?", "a": "True" }, { "q": "Let q = 152185 - 105752. Is q composite?", "a": "True" }, { "q": "Let c(u) = 3*u + 123. Let q be 0*(-5)/(-10)*-1. Let l be c(q). Suppose -36 = -2*t - 2*a, 36 = -4*t - a + l. Is t composite?", "a": "False" }, { "q": "Let k be 12/30 + (-56)/(-10). Suppose 3*n - k*d + 2*d = 2357, -3*n = 5*d - 2393. Is n composite?", "a": "True" }, { "q": "Suppose 5*i + 805 = 5*k - 0*k, -5*i = k + 829. Suppose 0 = 4*t - 3*d - 232, 39 = 3*t - 3*d - 135. Let c = t - i. Is c prime?", "a": "True" }, { "q": "Let p be 12*(5 + 42/(-9)). Is 44137/46 + 6/p prime?", "a": "False" }, { "q": "Let k = -12 + 24. Let d be 12*(-3)/(k*-1). Suppose 1402 = 3*r + 2*r + d*y, -r - y = -282. Is r a prime number?", "a": "False" }, { "q": "Let o(q) = 200*q**2 - q - 9. Let g be o(-3). Let y = 3503 - g. Is y a prime number?", "a": "True" }, { "q": "Let r(v) = -2400*v**2 + 3*v - 17. Let w(x) = -1201*x**2 + 2*x - 8. Let t(n) = 3*r(n) - 7*w(n). Is t(1) composite?", "a": "True" }, { "q": "Let r(k) = -1963*k - 514. Is r(-33) a prime number?", "a": "False" }, { "q": "Let v = 23465 - 4824. Is v prime?", "a": "False" }, { "q": "Let o = 3573 + 13638. Is o a composite number?", "a": "True" }, { "q": "Is ((-429776)/(-12))/(8/6) prime?", "a": "True" }, { "q": "Suppose 30 = 45*v - 35*v. Suppose h - 20219 = -5*a + 12495, -4*a - v*h + 26180 = 0. Is a a prime number?", "a": "False" }, { "q": "Suppose 0 = -44*q + 42*q - 208. Let w = q + 167. Let f = w - 20. Is f a prime number?", "a": "True" }, { "q": "Let c(s) = 9*s**2 + 7*s. Let g(m) = 1 + 3*m - 5*m - 11*m**2 + 2*m**2 - 5*m. Let u(w) = -2*c(w) - 3*g(w). Is u(7) prime?", "a": "True" }, { "q": "Let b = -14689 + 79524. Is b composite?", "a": "True" }, { "q": "Let d(x) = x**3 + 46*x**2 + 84*x - 31. Is d(42) a prime number?", "a": "False" }, { "q": "Let y be (-20)/110 - 90/(-11). Suppose 6*m - y*m + 2028 = 2*u, 5035 = 5*u - 2*m. Is u a composite number?", "a": "False" }, { "q": "Let i(a) = -3*a**3 - 59*a**2 - 76*a + 113. Is i(-51) a composite number?", "a": "False" }, { "q": "Suppose 0 = 40*i - 2563864 - 1233456. Is i composite?", "a": "False" }, { "q": "Suppose 0 = -w + 3*f + 99987, -35*f + 33*f + 99987 = w. Is w prime?", "a": "False" }, { "q": "Let d(l) be the third derivative of l**6/120 - l**5/30 - l**4/8 - 6*l**2. Let z be d(3). Suppose -581 = -3*g + 4*b, z*g = -4*g - 5*b + 754. Is g a prime number?", "a": "True" }, { "q": "Let w(d) be the second derivative of -51*d**3 - 61*d**2/2 - 52*d - 2. Is w(-7) prime?", "a": "True" }, { "q": "Suppose d - 16 = 5*h, -7 = 5*d - 4*h - 45. Suppose 5*b - 4*z + 1829 = 241, 3*z = d. Is (22/2)/((-4)/b) a composite number?", "a": "True" }, { "q": "Suppose 0 = 2*r - 5*g - 24821, r + 15*g - 12421 = 21*g. Is r a prime number?", "a": "False" }, { "q": "Let n(h) = 11*h**2 + 3*h - 40. Let t be n(12). Let w = t + -897. Is w a prime number?", "a": "True" }, { "q": "Let w(r) = 1197*r + 51. Let u be w(-7). Let m = 17369 + u. Is m prime?", "a": "True" }, { "q": "Let w = 177808 - 92157. Is w prime?", "a": "False" }, { "q": "Let f(m) be the second derivative of m**3/2 + 1117*m**2/2 - 2*m. Let s be f(0). Suppose -4*u + s = -879. Is u composite?", "a": "False" }, { "q": "Let z be (-2)/(-8) + (-31)/(-4). Suppose i + 3*i = z. Suppose -i*l + 2996 = -74. Is l a composite number?", "a": "True" }, { "q": "Is 2544682/(-70)*(-3 + (-1 + 4 - 5)) a prime number?", "a": "True" }, { "q": "Let v(h) = -h**2 + 85*h - 1212. Let k be v(18). Suppose 4*q - 20 = 0, -5*c - 2*q - 38 + 3 = 0. Is k/c - 3508/(-12) a prime number?", "a": "True" }, { "q": "Let g be (-4 + 4/(-8))*(-19626)/9. Suppose 160*m = 157*m + g. Is m prime?", "a": "True" }, { "q": "Let k = 75835 + -53482. Is k a prime number?", "a": "False" }, { "q": "Is (-5)/((16/(-6824))/2) a prime number?", "a": "False" }, { "q": "Let w be (8/(-6))/((-2)/(-3)). Let u be (5 + 21/(-6))*-18. Is (-63)/u*(-66)/w composite?", "a": "True" }, { "q": "Let g = 256567 - 42786. Is g a prime number?", "a": "False" }, { "q": "Suppose 2*u = -2*k - 9 + 1975, 0 = -5*u - 4*k + 4920. Suppose -3*i = -i + u. Let g = i + 941. Is g a prime number?", "a": "False" }, { "q": "Is ((-24)/32)/(3 - 756351/252116) a composite number?", "a": "False" }, { "q": "Let x(g) = 7*g - 77. Let b be x(10). Let y(h) = -49*h - 17. Is y(b) a composite number?", "a": "True" }, { "q": "Suppose -51*m - 5589218 = -213*m - 829172. Is m composite?", "a": "False" }, { "q": "Let t(g) = -431*g**3 + 11*g**2 + 80*g - 15. Is t(-8) composite?", "a": "False" }, { "q": "Let f(x) be the third derivative of x**6/180 + x**5/40 - 23*x**4/24 + 7*x**3/6 + 16*x**2. Let p(s) be the first derivative of f(s). Is p(-15) composite?", "a": "True" }, { "q": "Let p be (-6458)/4 + 3/(-6). Let g(d) = d**3 - 2*d**2 - 2366. Let m be g(0). Let b = p - m. Is b prime?", "a": "True" }, { "q": "Suppose 0*b = -2*b - 5*q + 8219, -b = q - 4102. Let a = 2150 + b. Is a prime?", "a": "True" }, { "q": "Let f = 25941 + 16976. Is f prime?", "a": "False" }, { "q": "Let g = 214 - 212. Suppose 2*j + 1468 = g*z, 3*j + j = z - 725. Is z prime?", "a": "False" }, { "q": "Let d(j) = 11613*j**2 - 42*j + 2. Is d(7) prime?", "a": "False" }, { "q": "Let s(j) = 2*j - 2115. Let q(t) be the first derivative of t**2/2 - 1057*t - 16. Let p(u) = -5*q(u) + 2*s(u). Is p(0) a prime number?", "a": "False" }, { "q": "Let k(p) = -6*p**2 - 65*p - 8. Let l be k(-12). Let b = 303 + l. Is b a prime number?", "a": "True" }, { "q": "Let t = 52558 - 15715. Is t prime?", "a": "False" }, { "q": "Is 78375/7 + (-195)/(-35) + 60/(-12) prime?", "a": "True" }, { "q": "Let c(s) = 3*s**2 - 67*s + 431. Is c(-54) a prime number?", "a": "False" }, { "q": "Let b(m) = 300*m**2 - 2*m - 3. Suppose 8*d + 20 = 13*d. Suppose -r + 5*p - 30 = d*r, 4*p - 17 = -3*r. Is b(r) composite?", "a": "True" }, { "q": "Let f be (-1)/(36/(-34) - (1 - 2)). Suppose -f*v = -36*v + 148561. Is v prime?", "a": "False" }, { "q": "Let j(k) = 36*k - 12. Let s be j(1). Suppose -s*u + 18*u = -20694. Is u a composite number?", "a": "False" }, { "q": "Let u be 1410/140*2 - 2/14. Is (-14853)/(-9) - u/(-30) prime?", "a": "False" }, { "q": "Let i be 70/315 + (-38932)/(-9). Let t be 36/2*(-2)/(-4). Suppose -i - 3891 = -t*x. Is x a prime number?", "a": "False" }, { "q": "Let p(r) = -24*r - 383 + 0*r**2 + 400 - r**2. Is p(-10) a prime number?", "a": "True" }, { "q": "Let a = 1102 - 4419. Let n = a + 4678. Is n a composite number?", "a": "False" }, { "q": "Let o(h) = 231*h**3 + h**2 - 68*h + 309. Is o(5) a prime number?", "a": "False" }, { "q": "Let t be 1115 + -2 + -3 + 5. Let a be (11/(-3))/(1/(-6)). Suppose a*g - t = 17*g. Is g composite?", "a": "False" }, { "q": "Is 1*9/(-18)*10883*(-5 - 1) composite?", "a": "True" }, { "q": "Let t be 6 - -1*(475 - 2). Let b = t + -268. Is b prime?", "a": "True" }, { "q": "Let f(u) = -3*u - 27. Let c be f(-10). Suppose -5*m = -9*m - c*q + 6628, -6628 = -4*m + 2*q. Is m prime?", "a": "True" }, { "q": "Let b(v) = -v**3 - 9*v**2 + v + 11. Let j be b(-9). Suppose 0 = j*t - 6*t + 976. Suppose 3*s + 0*q + 2*q = 259, 3*s = q + t. Is s a composite number?", "a": "False" }, { "q": "Let g(u) = 8*u - 30. Let p be g(-8). Let r = p - -149. Is r a prime number?", "a": "False" }, { "q": "Let n = 208 - -3434. Suppose 0 = 5*r - 3*u + 11501, 5*u - 1325 = -r - n. Is (1*r/(-8))/((-3)/(-12)) a composite number?", "a": "False" }, { "q": "Let g = -44 + 54. Let j be 5/2*(8/g - 0). Suppose j*z - 3*y - 722 = 0, -2*z + 445 = -4*y - 279. Is z composite?", "a": "True" }, { "q": "Suppose 52*i - 46*i = -65734 + 195532. Is i a prime number?", "a": "False" }, { "q": "Let j(x) = -x**2 + 10*x - 18. Let z be j(4). Suppose z*t + 8601 = 25455. Is t a composite number?", "a": "True" }, { "q": "Let u = 74 - 65. Suppose 0 = u*c - 4886 - 3745. Is c a composite number?", "a": "True" }, { "q": "Let i be 2/(-15) + (-69724)/(-30) + -1. Let g = -1605 + i. Is g composite?", "a": "True" }, { "q": "Suppose 19 = 3*q + 6*m - 2*m, 5*q + m = 9. Let d = 3 + -3. Is d - ((-110)/1 - q) a prime number?", "a": "False" }, { "q": "Suppose g + 16*h = 15*h + 551, -566 = -g + 2*h. Let f = 1779 - g. Is f composite?", "a": "False" }, { "q": "Let b be -38*(-4)/(-16) - 2/(-4). Let t(i) = -46*i + 23. Let y be t(b). Let u = -295 + y. Is u prime?", "a": "False" }, { "q": "Let l be (-1)/(-2) - 24/(-16). Suppose 0 = 4*p + s - 9795, l*p + 5*s - 6*s - 4899 = 0. Is p a prime number?", "a": "False" }, { "q": "Let a = -135248 + 262161. Is a composite?", "a": "False" }, { "q": "Suppose 3*i - 3 = 0, 4*w - 5*i - 180114 = 85589. Is w a prime number?", "a": "False" }, { "q": "Let h = 4910 + 19281. Is h composite?", "a": "True" }, { "q": "Suppose 5*k + d = -0*k - 59044, 4*k = 3*d - 47239. Suppose 0*u - 5*l + 1 = -u, -22 = 4*u - 2*l. Is (-4)/u - k/21 a prime number?", "a": "True" }, { "q": "Let o(u) be the first derivative of -17*u**2 - 43*u - 41. Is o(-5) a prime number?", "a": "True" }, { "q": "Let j(v) = -8*v**3 - 59*v**2 - v - 33. Is j(-22) a prime number?", "a": "False" }, { "q": "Let r be (-18)/(-15)*(-25)/10 + -2. Let v(g) = 6*g**2 + 4*g - 3. Is v(r) a prime number?", "a": "True" }, { "q": "Let j(r) = 2*r**2 - 17*r + 1. Let x be j(8). Let n(v) = v**2 + 5*v - 9. Let z be n(x). Let m(f) = 7*f**2 + 7*f + 1. Is m(z) a composite number?", "a": "False" }, { "q": "Let q(y) = -y + 34. Let a be -8 - ((-3 + 1)/2 - -2). Is q(a) a composite number?", "a": "False" }, { "q": "Is 2/19*-1 - 6*148284/(-456) a prime number?", "a": "True" }, { "q": "Suppose -2*c + 3*c - 5*q - 613 = 0, -1915 = -3*c - 4*q. Is (c/9)/(6/18) prime?", "a": "True" }, { "q": "Let x be 2/(-8) + (-5)/(-20). Suppose -2*k + 3*f + 10 = x, -2*k + 5*f - 6 = -16. Suppose -5*v - 5*u = -1750 - 220, 400 = v - k*u. Is v composite?", "a": "True" }, { "q": "Is (62 + 5)*(-727)/(-1) prime?", "a": "False" }, { "q": "Suppose -22*w - d - 60122 = -24*w, 0 = -5*w + 4*d + 150311. Is w composite?", "a": "False" }, { "q": "Let s(l) = 9 + 41*l**2 + 7*l**2 + 2*l - 16 - 2*l**2. Is s(4) composite?", "a": "True" }, { "q": "Let q = 601 - -48330. Is q a composite number?", "a": "True" }, { "q": "Suppose -3*j + 0*j = 27. Let p be (-10)/(-15) + (-12)/j. Suppose 2*i - 4*s - 4202 = 0, -p*i - 2*i - 5*s + 8469 = 0. Is i a composite number?", "a": "False" }, { "q": "Let w(l) = 28289*l - 82. Is w(9) a prime number?", "a": "True" }, { "q": "Let g(y) be the second derivative of 7*y**5/10 - 5*y**4/12 + 11*y**3/6 - 7*y**2/2 + 48*y. Is g(5) a prime number?", "a": "False" }, { "q": "Suppose 2*i - r = 425, -3*i = r - 2*r - 640. Suppose 5*h - i = 195. Is h composite?", "a": "True" }, { "q": "Let j(n) = -1155*n + 12. Let i be j(-2). Let y = 5221 - i. Is y composite?", "a": "True" }, { "q": "Suppose 86*g = 141*g - 177430. Is g a prime number?", "a": "False" }, { "q": "Let l = -85 - -87. Suppose -l*q + q = -1067. Is q a prime number?", "a": "False" }, { "q": "Let n(o) = -15*o**3 + 13*o**2 + 17*o + 16. Let d be 36/8*-3*8/12. Is n(d) composite?", "a": "True" }, { "q": "Let s(q) = -4*q + 28. Let a be s(7). Suppose 2*k + 6*j = 9*j + 977, a = -3*k - 4*j + 1457. Is k composite?", "a": "False" }, { "q": "Let o = -22 - -47. Suppose -o*y = -21*y + 2228. Let d = y + 858. Is d composite?", "a": "True" }, { "q": "Let j(t) = 75*t**2 + 74*t - 936. Is j(31) a prime number?", "a": "True" }, { "q": "Let r = 52 + -111. Let z = -35 - r. Is 12/z - (-1 - 1895/2) prime?", "a": "False" }, { "q": "Let l(q) be the third derivative of q**5/60 + q**4/24 + q**3/3 + 17*q**2. Let x be l(0). Suppose w - 987 = -x*w. Is w a prime number?", "a": "False" }, { "q": "Is 11/22*(5/(-1) - -70563) composite?", "a": "False" }, { "q": "Suppose -2*m = m - 57. Suppose 4*n - m = -7. Suppose 0 = -n*j + 6*p - 4*p + 4407, 3*p = 4*j - 5875. Is j a composite number?", "a": "False" }, { "q": "Suppose 10*v = 11*v - 5*h - 49584, -5*h = -4*v + 198321. Is v a prime number?", "a": "False" }, { "q": "Let z(s) be the third derivative of -23*s**4/6 - 7*s**3/6 - 8*s**2. Let o be z(8). Let d = 1330 + o. Is d prime?", "a": "True" }, { "q": "Suppose -6*f = -3*f + 2*n + 697, -2*n = -8. Let z = f + 546. Is z prime?", "a": "True" }, { "q": "Suppose 0 = 2*j, -f + j = -0*j - 4. Suppose 0*n - 3*s - 649 = -n, -5*s - 2596 = -f*n. Is n composite?", "a": "True" }, { "q": "Let l = 79216 + -20567. Is l composite?", "a": "True" }, { "q": "Let v = 41 - -9. Suppose -14*t + 4*t + v = 0. Suppose t = -z, h - 5*z = 4*h - 2348. Is h a prime number?", "a": "False" }, { "q": "Suppose 0 = 42*c + 56*c - 2201962. Is c prime?", "a": "True" }, { "q": "Suppose -q + 3682 = 4*l - 92027, -4*l + 382812 = 4*q. Is q a prime number?", "a": "True" }, { "q": "Let o(x) = -x + 13. Let b be o(12). Let n be (13 - 9) + b + -5. Suppose -3*q - 42 + 153 = n. Is q a prime number?", "a": "True" }, { "q": "Let d = 371891 - 243174. Is d prime?", "a": "True" }, { "q": "Let t(u) = 4*u**3 + 2*u**2 - u - 2. Let d be t(-2). Let i = -24 - d. Suppose 0 = -5*z - 5*q + 4770, i*z - 2*q + 4767 = 5*z. Is z a prime number?", "a": "True" }, { "q": "Let g(k) = 4*k**2 - 2*k - 8. Let y be g(-2). Is (2*(-222)/y)/(-1) prime?", "a": "True" }, { "q": "Let m = -33942 - -81163. Is m prime?", "a": "True" }, { "q": "Let m = -125 + 129. Suppose -s = m*x - 2345 + 424, 3*s = x - 464. Is x a composite number?", "a": "False" }, { "q": "Suppose 0 = 13*s - 11*s - 10. Let n = 14 + -29. Is s/(n/(-4))*(-42)/(-4) prime?", "a": "False" }, { "q": "Let r(j) = 8720*j**2 - 32*j - 9. Is r(2) prime?", "a": "True" }, { "q": "Let u(f) = -8224*f + 507. Is u(-14) prime?", "a": "False" }, { "q": "Is ((-812)/42)/(-29) + (-219325)/(-3) composite?", "a": "True" }, { "q": "Suppose -3*i - 24 = -9. Let u be i/20 + 2/8. Suppose u = -2*m + 2*f + 1114, -2228 = 2*m - 6*m + 2*f. Is m a composite number?", "a": "False" }, { "q": "Let o = -145 - -150. Let y(i) = -4*i**2 + 3*i + 11. Let w(v) = -2*v**2 + v + 6. Let a(l) = -7*w(l) + 3*y(l). Is a(o) composite?", "a": "True" }, { "q": "Suppose -5*d = -3*s + 1570, 3*s - 109*d = -110*d + 1540. Is s a composite number?", "a": "True" }, { "q": "Let l(x) = -139*x**2 + 7*x + 42. Let a be l(-5). Let z = 5985 + a. Is z prime?", "a": "False" }, { "q": "Let i be -3 + 3 - (-6 - (-1 + -1)). Suppose 2*j = i*j + 14. Is j/(140/(-8)) - 2903/(-5) prime?", "a": "False" }, { "q": "Let k(r) = 13*r + 70 + 7*r - 73 + 2*r**2 + 19*r**2. Is k(-6) prime?", "a": "False" }, { "q": "Let v = 4098 + 12689. Is v a prime number?", "a": "True" }, { "q": "Suppose 0 = 3*u + 4*p + 2, -4*u - 4 - 8 = -4*p. Let s be (1 - -1) + (u - 0/2). Suppose 4*a = l + 5925, 3*l + 3 + 0 = s. Is a a composite number?", "a": "False" }, { "q": "Suppose 5*r = 421*b - 418*b + 190339, 4*r - 152282 = -3*b. Is r a composite number?", "a": "False" }, { "q": "Let k = 30 + -39. Let x be (k - -2)*20/(-70). Suppose -x*b - 508 = -2342. Is b prime?", "a": "False" }, { "q": "Let x = -4613 - -7666. Is x composite?", "a": "True" }, { "q": "Let u = -93 + 86. Let b(k) = -13*k**3 - 11*k**2 - 11*k - 8. Is b(u) composite?", "a": "False" }, { "q": "Suppose -17*v = -14*v - 6. Let o(q) = -q + 142*q**v + 8*q - 131*q**2 - q**3 + 6 + 0. Is o(7) prime?", "a": "True" }, { "q": "Let d(b) = 1642*b**3 + 2*b**2 - 12*b + 19. Is d(2) a composite number?", "a": "True" }, { "q": "Let k(c) = 62*c**2 - 3*c - 16. Let q be k(9). Suppose 2*h - q = 2135. Is h a composite number?", "a": "False" }, { "q": "Suppose -17*k + 10408 = -19*k. Let c = k - -9646. Suppose 37*b - c = 35*b. Is b a prime number?", "a": "True" }, { "q": "Is (-72864 - 2)/(0 - 2) a prime number?", "a": "True" }, { "q": "Suppose 4*j - 4*o - 1523004 = 0, 3*j + 38*o - 1142263 = 36*o. Is j a composite number?", "a": "False" }, { "q": "Suppose 3*c - 15*c + 103142 = -10870. Is c composite?", "a": "True" }, { "q": "Let x = 22 + -46. Let u be 28/20 - 1 - x/(-10). Is (-61)/(3/u + 2 + -1) prime?", "a": "False" }, { "q": "Suppose 5*g + 383 = 3*h - 48495, -h + 3*g = -16286. Is h a composite number?", "a": "False" }, { "q": "Let u be (-3)/12*3*-4. Suppose 2*y + 0*y = 10, -u*h + y = -4. Is (-30)/(-20)*7726/h prime?", "a": "True" }, { "q": "Suppose 3*w = 14*w + 7*w - 3466818. Is w a composite number?", "a": "False" }, { "q": "Suppose 88*r + 142446 = 91*r. Is r a composite number?", "a": "True" }, { "q": "Let d(g) be the third derivative of 97*g**4/8 + 5*g**3/6 + 15*g**2. Let t be d(-3). Let a = -281 - t. Is a composite?", "a": "False" }, { "q": "Let v(j) = 632*j**2 - 1. Suppose n + 3 = i + 2, -4*i + 8 = 0. Is v(n) a composite number?", "a": "False" }, { "q": "Let h(d) = d**2 - 3*d + 3. Suppose 5 = -3*f + v + 17, f - 2*v - 9 = 0. Let q be h(f). Is 4/8*1/(q/114) a composite number?", "a": "False" }, { "q": "Suppose 26*j = -26*j - 31*j + 23295859. Is j composite?", "a": "False" }, { "q": "Suppose -4*s + 6*s - 8 = 0, -4*n + 9320 = 3*s. Suppose 0 = 4*q - 0 - 8, 0 = i - 3*q - n. Is i composite?", "a": "False" }, { "q": "Suppose -w - 10 = -664. Let p = -141 + w. Suppose 2*h - p = -131. Is h a prime number?", "a": "True" }, { "q": "Let i(x) = 142*x - 17. Let o be i(11). Suppose 0 = 5*k - 2*v - 1020 - o, -k + 500 = -3*v. Suppose -k = -4*z + 249. Is z a prime number?", "a": "True" }, { "q": "Suppose -166*v = -150*v - 911056. Is v a composite number?", "a": "False" }, { "q": "Suppose -5*z + 65 = 2*y - 4*y, -60 = -3*z - 3*y. Suppose 5*c = z, 3*l = -c + 894 + 2748. Is l prime?", "a": "True" }, { "q": "Let z(k) = -k + 13. Let j be z(10). Suppose 0 = -5*b + j*b - 40. Is 10/b - (-150)/4 prime?", "a": "True" }, { "q": "Let o(k) = k**2 + 2*k + 629. Suppose -9 - 1 = 2*a + 2*y, 3*a - 5 = y. Let r = a + 0. Is o(r) a prime number?", "a": "False" }, { "q": "Let k be 23 - 12/(-1 + -2). Suppose -3*f + k = 6*f. Is (-758)/f*(-12)/8 a composite number?", "a": "False" }, { "q": "Let l = 183 + -187. Is 5579*(-4)/(-4) - l a prime number?", "a": "False" }, { "q": "Let z be 5/(-10) - 78/4. Let w(l) = l**3 + 16*l**2 - l - 3. Let c be w(z). Let o = -904 - c. Is o a composite number?", "a": "True" }, { "q": "Is (-26)/(-143) - (-532805)/11 a prime number?", "a": "True" }, { "q": "Let j(a) = -a**2 - 12*a + 16. Let l be j(-13). Let r be -2*l/(24/28). Is r/((-105)/(-10)) - (-1205)/3 composite?", "a": "False" }, { "q": "Let v(z) = 34121*z**2 + 142*z + 287. Is v(-2) composite?", "a": "True" }, { "q": "Let a = 27 - 27. Suppose -s = 4*k + 11389, a = k + 2*k + 5*s + 8563. Is ((-4)/16*k)/(1/2) a composite number?", "a": "False" }, { "q": "Let b(y) = y**3 + 10*y**2 - 8. Let q be b(-10). Is q/60 - ((-43487)/15 - 2) prime?", "a": "False" }, { "q": "Is (-339156)/(-14) - ((-288)/(-56))/(-9) composite?", "a": "True" }, { "q": "Let w(z) = 38*z**2 - 52*z - 659. Is w(-22) composite?", "a": "True" }, { "q": "Suppose -2*z + 36495 = 5*v, -z + v = 2*z - 54700. Suppose 8*s = s + z. Is s a prime number?", "a": "False" }, { "q": "Let y = 9042 - -3667. Is y a prime number?", "a": "False" }, { "q": "Let a(w) = -w**3 - w**2 - 2*w - 2. Let s be a(-1). Suppose 3*b + 4*p = -5, p = -0*b + 5*b - 30. Suppose s = -j + b*j - 5316. Is j a composite number?", "a": "True" }, { "q": "Let p be -2 + 1 + -1 + (10 - 6). Let v be 5 + (-27)/6 - 31/p. Is ((-13614)/v - 1) + 4/10 composite?", "a": "False" }, { "q": "Let n(p) = -p + 5*p + p**2 - 3 - 8*p**3 + 3*p**3 + 8*p**3. Let s be n(4). Is (s/(-2))/((-1)/2)*1 prime?", "a": "False" }, { "q": "Let b = -59152 + 99383. Is b prime?", "a": "True" }, { "q": "Suppose -2*y = 4*t - 1122, 0 = -2*t - t - 3*y + 843. Suppose -4*a + 6*a = -5*n + 1416, n - t = -2*a. Let h = n + -85. Is h prime?", "a": "True" }, { "q": "Let j(b) = -b - 13*b + 7*b - 54. Is j(-20) prime?", "a": "False" }, { "q": "Is 50/20 - (-2317848)/48 a prime number?", "a": "False" }, { "q": "Suppose 242*v - 494*v + 246*v = -203874. Is v a composite number?", "a": "True" }, { "q": "Let t(r) = -49*r**3 - r**2. Let k be t(-4). Suppose -4*d + k = -8564. Is d a composite number?", "a": "True" }, { "q": "Let i(q) = q**3 + 93*q**2 + 8*q + 82. Is i(-74) a prime number?", "a": "False" }, { "q": "Let a(n) = -n**2 - 20*n - 32. Let o = -15 + -3. Let s be a(o). Suppose -s*j + 367 = 2*x - 83, -4*j + x = -441. Is j a composite number?", "a": "True" }, { "q": "Suppose 5*x = -5, c = 4*c + 2*x - 2227. Let p = c + 450. Is p prime?", "a": "True" }, { "q": "Let p(f) = -67*f + 17. Let v(j) = -30*j + 14. Let t(i) = i - 1. Let c(k) = 24*t(k) + 3*v(k). Let z(r) = -4*c(r) + 5*p(r). Is z(-8) a composite number?", "a": "True" }, { "q": "Let u = -5605 - -95283. Is u composite?", "a": "True" }, { "q": "Let r = -19 + 20. Is 2649 + r - 4 - -1 a composite number?", "a": "False" }, { "q": "Suppose 10 = -2*a - 6. Let n be (2094/(-8) - 0) + 2/a. Let f = 373 + n. Is f a prime number?", "a": "False" }, { "q": "Let w(u) = 2*u - 1. Let d be w(-7). Let b = d + 20. Suppose -526 = -5*o - 2*l, -b*o + 3*l + 249 = -287. Is o prime?", "a": "False" }, { "q": "Let j(n) = -23*n**3 - 2*n**2 - n + 7. Let d be 0 - 6 - (3 - 6). Is j(d) composite?", "a": "False" }, { "q": "Suppose 3*r = 3*x + 214497, -214493 = -4*r + r + 5*x. Is r a composite number?", "a": "True" }, { "q": "Let q = -17 - 12. Let z = q - -101. Let y = z - 38. Is y a prime number?", "a": "False" }, { "q": "Suppose 4*w + 3 - 11 = -3*j, 3*j - 5*w + 10 = 0. Suppose 3*y - 3787 = 2*a, j = 2*y - y - 3*a - 1274. Is y a composite number?", "a": "False" }, { "q": "Let c be -3 + 8 + -1825 + -3. Is -4 + -1 + (11 - c) a composite number?", "a": "True" }, { "q": "Let y be 9/5*125/15. Suppose -4*w + x + 5 = -0*x, 0 = -5*w + 3*x + y. Suppose o + 4*b - 2*b - 143 = w, 301 = 2*o - b. Is o a composite number?", "a": "False" }, { "q": "Let q(p) = p**3 - 23*p**2 + 40*p + 44. Let m be q(21). Suppose 2*u - r = u + 1840, u - m*r = 1839. Is u a prime number?", "a": "False" }, { "q": "Let d = -59331 - -132124. Is d a composite number?", "a": "True" }, { "q": "Is 11/1*(-186)/(-341) + 12400 composite?", "a": "True" }, { "q": "Let d be 2/3 - (-660)/36. Let c(v) = -v**3 + 9*v**2 - d - 6*v**2 + 7*v**2 + 5*v + 6. Is c(10) a prime number?", "a": "True" }, { "q": "Suppose -1762 = -2*l + 4*k, -l + 34*k - 30*k = -885. Is l a composite number?", "a": "False" }, { "q": "Let u(h) = -h**2 - 41*h - 224. Let w be u(-32). Suppose t - 4 = -0, 0 = 4*m + t - 1208. Suppose 3*f - m = -w. Is f a composite number?", "a": "False" }, { "q": "Let h(i) = -60*i**3 + 7*i**2 - 16*i - 91. Is h(-6) a composite number?", "a": "False" }, { "q": "Let c = -218 - -214. Is (c/(-8))/(4/16792) composite?", "a": "False" }, { "q": "Suppose 0 = -5*a + p - 108, a + p = -4*p - 32. Let r = a + 20. Is 5/r*92/(-5) composite?", "a": "True" }, { "q": "Is 5847549/118*2/3 a prime number?", "a": "True" }, { "q": "Let s(a) be the second derivative of 4*a**3 + 21*a**2 + 6*a. Let b be s(19). Suppose 7*y = -b + 6945. Is y a prime number?", "a": "False" }, { "q": "Let l be 2/(-1)*-1 - (-18)/2. Suppose 9657 = l*u - 12398. Is u a prime number?", "a": "False" }, { "q": "Let m = -46 + 2179. Let f = -1078 + m. Is f composite?", "a": "True" }, { "q": "Is -4 + ((-93779)/(-7))/(-5 - -6) a prime number?", "a": "False" }, { "q": "Let d(n) = -2364*n - 52. Let u be d(-16). Is (6/(-9))/(u/(-18879) - -2) a composite number?", "a": "True" }, { "q": "Is (-2477671)/(-147) - (-8)/(-168)*-2 a prime number?", "a": "False" }, { "q": "Let f(c) = -3*c + 24. Let x be (-96)/(-10) + -2*9/30. Let q be f(x). Let k(l) = -2*l**3 - 4*l**2 - 3*l - 1. Is k(q) a composite number?", "a": "True" }, { "q": "Suppose -16*d + 844509 = -408947. Is d a prime number?", "a": "True" }, { "q": "Suppose r = -r - 6. Is 6 - (4 - 2) - (r - 5340) prime?", "a": "True" }, { "q": "Let p be 4/(4/2) - -35. Let u = p - 32. Suppose 6*v = u*v + 143. Is v composite?", "a": "True" }, { "q": "Let q(f) = 25*f**3 - 3*f**2 + 19*f - 229. Is q(12) a composite number?", "a": "False" }, { "q": "Let a(u) = 225*u**2 + 8*u - 1. Let f be (32/(-80))/(2/10). Is a(f) prime?", "a": "True" }, { "q": "Let h(u) = 2*u**3 - 3*u**2 - 5*u - 2. Let b be h(3). Let p(d) = d**3 + 4 + 2*d - 9*d**2 - 23 + 5*d + d**2. Is p(b) a prime number?", "a": "True" }, { "q": "Suppose 4*g - 4*x - 479241 = 46151, 2*g - x - 262697 = 0. Is g a prime number?", "a": "False" }, { "q": "Suppose -c - 915 = 2791. Let a = c - -8503. Suppose 0 = -3*g + 3*o + a, 5*g + 2515 = -4*o + 10492. Is g prime?", "a": "True" }, { "q": "Let w(i) = -i**3 - 42*i**2 + 58*i + 736. Is w(-45) composite?", "a": "False" }, { "q": "Let q(k) = -2*k**3 - 52*k**2 + 16*k + 139. Is q(-29) prime?", "a": "True" }, { "q": "Let h be 2 - (2 - -6)/(-4). Suppose -h*o + 264 = -3*o. Let s = o + 91. Is s prime?", "a": "False" }, { "q": "Let s(d) be the first derivative of 49*d**6/45 - d**5/60 + d**4/24 + 14*d**3/3 + 4. Let k(z) be the third derivative of s(z). Is k(1) prime?", "a": "False" }, { "q": "Let b(s) = 7*s - 86. Let n be b(8). Let t(r) = r**3 + 31*r**2 + r + 47. Is t(n) composite?", "a": "True" }, { "q": "Let z be (1 + 0 - -1) + 20/20. Suppose -b - 45 = 4*b - z*q, -4*b = -4*q + 44. Is 9/6 - 945/b prime?", "a": "False" }, { "q": "Let f(p) = 7*p**2 + 12*p - 7. Let m be (245/20)/(-7) + 2/(-8). Let w be (3 - 1) + (m - -6). Is f(w) a prime number?", "a": "True" }, { "q": "Let u(b) = 8*b**2 + 4*b - 13. Let n be u(-18). Suppose n = w + 514. Is w a composite number?", "a": "False" }, { "q": "Suppose -4*a + 12390 = b - 435, 2*a - 6415 = -b. Is a a composite number?", "a": "True" }, { "q": "Let r(a) = a**3 - 7*a**2 - 4*a - 5. Let j be ((-18)/(-8))/((-6)/(-120)). Suppose j + 45 = 6*x. Is r(x) composite?", "a": "True" }, { "q": "Let l be -3 + 12 + 4*-1. Suppose 5*i - i - 3*b = 0, 0 = -4*i - l*b + 32. Suppose 7*m - i*g = 2*m + 2663, m - 531 = g. Is m prime?", "a": "False" }, { "q": "Let o be 2/9 - (1 - (-25720)/(-9)). Suppose 5*l - x + 151 = o, 4*l - 5*x = 2169. Is l a composite number?", "a": "False" }, { "q": "Suppose g = -75 - 57. Let r be (-18)/(-63) + g/21. Let j(v) = 5*v**2 - 2*v - 13. Is j(r) a prime number?", "a": "True" }, { "q": "Suppose -5*i - 78956 = -2*b, 39478 = b - 583*i + 581*i. Is b prime?", "a": "False" }, { "q": "Let q be 35/15 - (-8)/(-6) - -3. Suppose -l + q*v = -1739, -3*v = -3*l + l + 3463. Is l a prime number?", "a": "False" }, { "q": "Let h = -63171 - -101432. Is h composite?", "a": "False" }, { "q": "Let c = -2254 + -45156. Is (6/(-4))/(33/c) a composite number?", "a": "True" }, { "q": "Is -6 - (44 - 43)/(2/(-22066)) prime?", "a": "True" }, { "q": "Suppose -2822 = -2*s + 2054. Let a = s + -1549. Is a prime?", "a": "False" }, { "q": "Let v(h) = -3*h + 2. Let x be v(-2). Suppose x*k - 3434 = 5958. Suppose 0 = 5*m - k - 511. Is m a prime number?", "a": "True" }, { "q": "Let l = 3 - 1. Let b(t) = -93*t**l - 7 - 3*t - 83*t**2 + 174*t**2 + t**3. Is b(5) a prime number?", "a": "True" }, { "q": "Suppose 4*h + 5*c - 44 = c, h - 2*c - 5 = 0. Suppose 5*n - 16646 = -h*n. Is n a prime number?", "a": "False" }, { "q": "Let h(t) = 156*t**2 - 12*t + 61. Is h(-18) a composite number?", "a": "False" }, { "q": "Let a be 2*(-5)/10*-8. Suppose a*i - 1713 = -521. Is i composite?", "a": "False" }, { "q": "Let m = 55971 + -12118. Is m composite?", "a": "False" }, { "q": "Is 4558 - (-9 + 33 + -13) prime?", "a": "True" }, { "q": "Suppose 5*g + 10 + 5 = 0, 4*j = 5*g + 31. Suppose -3*q - j*n + 13221 = 3790, 12558 = 4*q + 2*n. Is q prime?", "a": "True" }, { "q": "Suppose 0 = -177*i + 179*i + 14166. Let a = 11864 + i. Is a a composite number?", "a": "True" }, { "q": "Let r(y) = 4*y - 11. Suppose 0 = -2*j - j + 18. Let x be r(j). Let t(w) = w**3 - 12*w**2 + 6*w + 6. Is t(x) a composite number?", "a": "True" }, { "q": "Suppose 4*x - 231352 = 2*z, 26*x - z = 22*x + 231354. Is x a prime number?", "a": "True" }, { "q": "Suppose -2*o = 3*o - 25, -35 = -5*v - 5*o. Suppose 19 = 3*g + v*d, -5*d + d - 52 = -4*g. Suppose -309 = -g*r + 8*r. Is r composite?", "a": "True" }, { "q": "Suppose 7566 = 4*x + 2*t, -4*x - 2585 = -2*t - 10171. Is x prime?", "a": "False" }, { "q": "Let f be ((-51)/(-6))/(2/(6 - 2)). Suppose 2*s - 7 = f. Is (-1 + (-4)/(-3))*s prime?", "a": "False" }, { "q": "Let s = 164 + -83. Let v be (s/(-18))/(1/(-4)). Is (-2084)/(-6) + (-6)/v prime?", "a": "True" }, { "q": "Let q = 0 - 4. Let d(j) = -27*j**2 + 2*j + 4. Let g(x) = x. Let o(z) = q*g(z) - d(z). Is o(-7) a prime number?", "a": "True" }, { "q": "Suppose 2*l = -r + 7, 0 = -2*l + 2*r - 4*r + 6. Suppose 37678 = l*g - 2*g. Is g a composite number?", "a": "False" }, { "q": "Is ((-7)/(-42)*381 - 0)/(3/1266) composite?", "a": "True" }, { "q": "Let x(d) = -d**3 - 6*d**2 - 4*d + 5. Let u be x(-5). Let z be (-1)/((-6)/(-6)) + (u - -95). Let p = -35 + z. Is p composite?", "a": "False" }, { "q": "Suppose h = -7*h + 21272. Let v = 3840 - h. Is v a composite number?", "a": "False" }, { "q": "Suppose -5*g = 0, -6 + 3 = 3*t + 5*g. Let a(o) be the third derivative of 179*o**5/5 - o**4/12 - o**3/6 + 12*o**2. Is a(t) a composite number?", "a": "True" }, { "q": "Suppose -2*i - 2155 = 3*i. Let x be 4 - (-30)/(-5) - i. Is (-3 + x/(-6))*-2 a composite number?", "a": "False" }, { "q": "Let c(x) = 9*x**2 + 27*x + 35. Suppose w + 261 = -8*w. Is c(w) prime?", "a": "False" }, { "q": "Suppose v = 5*t, 3*v + 18 = 5*t + 58. Let m(n) = 10*n**2 + 28*n - 59. Is m(v) a prime number?", "a": "False" }, { "q": "Let j = 225 + -189. Suppose j*u - 39*u + 5181 = 0. Is u a prime number?", "a": "False" }, { "q": "Let r be (-42)/(-56) - 233/(-4). Suppose r = 5*u - 36. Is u*(-2)/(-14) + 6/21 a prime number?", "a": "True" }, { "q": "Let m be -1 - (-408)/7 - 6/21. Suppose -19*h = -22*h - m. Let b(a) = a**3 + 21*a**2 - 3*a + 8. Is b(h) composite?", "a": "False" }, { "q": "Suppose 133*o - 40*o - 388461 = 0. Is o a composite number?", "a": "False" }, { "q": "Let x be (-2)/8 - (-98)/(-56). Is 8/x - (23 + -60) prime?", "a": "False" }, { "q": "Let d(n) be the second derivative of -9*n**5/2 - n**4/6 + n**2/2 - n + 24. Suppose 4*x + 6 - 2 = 0. Is d(x) composite?", "a": "False" }, { "q": "Suppose 7*r + r - 368 = 0. Let q = -43 + r. Suppose q*y = 391 + 566. Is y prime?", "a": "False" }, { "q": "Suppose 548599 + 17271 = 10*m. Is m a prime number?", "a": "False" }, { "q": "Let c(a) be the third derivative of -a**6/24 + a**4/24 + a**3/6 - 11*a**2. Let t be c(-1). Is 0 + 131 + 10/t a composite number?", "a": "True" }, { "q": "Suppose 7 = m + 2. Suppose -1052 = -o + 3*h, o = 3*o - m*h - 2109. Is o prime?", "a": "False" }, { "q": "Let t(v) = -23 - 26 + 233*v - 51*v. Is t(13) composite?", "a": "True" }, { "q": "Suppose 4*h - 3*s - 358750 = 0, 4*s = 19 - 11. Is h a composite number?", "a": "False" }, { "q": "Is (43536 - 4)/(18/9*2) prime?", "a": "True" }, { "q": "Suppose 7*d = 2*d + 2070. Let r = 1093 + -1093. Suppose r = 2*s - 240 - d. Is s a composite number?", "a": "True" }, { "q": "Suppose 0 = 4*x + 12*x. Suppose -2*t - 8 = x, -4*t = n - 6*t - 165. Is n a composite number?", "a": "False" }, { "q": "Let d(h) = -2*h - 39. Let u be d(-21). Is -5 + (3270*3)/u prime?", "a": "False" }, { "q": "Suppose 44*r - 43*r = 1. Is 1117 + 0/(-4 - r) a composite number?", "a": "False" }, { "q": "Suppose 5*l + 5*w + 616 - 6491 = 0, w - 5879 = -5*l. Let q = l - -3379. Is q composite?", "a": "True" }, { "q": "Suppose 7*k - 4*k + r = 29262, 0 = -2*k + 4*r + 19494. Is k a composite number?", "a": "True" }, { "q": "Let a(w) = 1394*w**3 - 2*w - 2. Let k be a(-1). Let v = -541 - k. Is v a prime number?", "a": "True" }, { "q": "Let r = -11 + 11. Let y be (6 + -4 + r)*134/1. Is 5/(-4 + 1076/y) composite?", "a": "True" }, { "q": "Let y(k) = 1144*k - 253. Is y(24) a composite number?", "a": "True" }, { "q": "Let x = 156117 + -27524. Is x a composite number?", "a": "True" }, { "q": "Suppose 29776 = -48*f + 8848. Suppose 641 - 4720 = -5*b - 4*x, -4*x + 4 = 0. Let w = f + b. Is w a prime number?", "a": "True" }, { "q": "Suppose -3*t + 4*x = -5*t + 3874, 0 = 2*t - 2*x - 3892. Is t composite?", "a": "True" }, { "q": "Let y(t) = 266*t + 11. Let w(s) = -2*s**3 + 4*s**2 - s - 3. Let a be w(2). Let b(l) = 532*l + 22. Let z(q) = a*y(q) + 2*b(q). Is z(-3) prime?", "a": "True" }, { "q": "Let l = 32 - 35. Let x = l + -6. Is (-6041)/(-21) + 6/x composite?", "a": "True" }, { "q": "Suppose -3*y - 1157 = -2*y + u, -4 = -u. Let w(r) = 70*r**2 + 8*r + 4. Let j be w(-5). Let l = j + y. Is l a composite number?", "a": "True" }, { "q": "Suppose -36 = 9*m - 9. Let c be -1 + 6*(-1)/m. Is 5*c*1310/10 prime?", "a": "False" }, { "q": "Suppose n = 2055 + 2234. Suppose 2005 = 6*v - n. Is v a prime number?", "a": "True" }, { "q": "Suppose 52*p = 65920 + 141508. Is p a composite number?", "a": "False" }, { "q": "Let h = -22 - -8. Let t = 140 + h. Let c = t - 71. Is c a prime number?", "a": "False" }, { "q": "Let l(x) = 1387*x + 124. Is l(9) prime?", "a": "False" }, { "q": "Let o = -6571 - -11192. Is o composite?", "a": "False" }, { "q": "Is (-486864)/(368/(-23)) + 4*2 a prime number?", "a": "False" }, { "q": "Suppose -109*o - 85233 = -110*o - 2*f, -o + 85208 = -3*f. Is o a composite number?", "a": "False" }, { "q": "Let v = 52 - -16797. Suppose 3*c = 5*q - v, -3363 = -q + 9*c - 5*c. Is q composite?", "a": "False" }, { "q": "Let c = 180166 - 93539. Is c prime?", "a": "True" }, { "q": "Suppose 161392 + 143100 = 10*q - 20818. Is q composite?", "a": "False" }, { "q": "Suppose -12*g + 5*b = -14*g + 73554, -2*g = b - 73538. Is g prime?", "a": "True" }, { "q": "Let f(k) be the second derivative of -7/2*k**3 + k**2 + 0 + 15*k. Is f(-1) composite?", "a": "False" }, { "q": "Suppose 38860 = 2*h - 4*w, -3*h + 88*w + 58330 = 92*w. Is h composite?", "a": "True" }, { "q": "Let n be 9 + -18 - -365 - (1 + -5). Let d = 1009 + n. Is d composite?", "a": "True" }, { "q": "Let y(j) be the second derivative of 52/3*j**3 + 0 + 9*j - 3/2*j**2. Is y(8) prime?", "a": "True" }, { "q": "Suppose 0*z = z - 300. Let g(d) = -d**3 - 8*d**2 - 7*d + 4. Let f be g(-7). Suppose 0 = a - 6*a + 2*s + z, -f*a + 217 = 3*s. Is a a composite number?", "a": "True" }, { "q": "Suppose 395316 + 148487 = 13*h. Is h a composite number?", "a": "True" }, { "q": "Suppose z + 15*a = 16*a + 65325, -261282 = -4*z - 5*a. Is z prime?", "a": "True" }, { "q": "Let y = -36 + 39. Suppose y*m = 7*m + 36. Is ((-30)/m)/((-4)/(-42)) a prime number?", "a": "False" }, { "q": "Is 677/(-1*1/(-71)) composite?", "a": "True" }, { "q": "Let z(p) = p**3 + 6*p**2 + 2*p - 4. Let l be z(-6). Is (1 - 4) + 1160/(-5)*l a prime number?", "a": "True" }, { "q": "Let v = -217 - -11366. Is v a composite number?", "a": "False" }, { "q": "Let b(y) = -y**3 + 11*y**2 + y + 44723. Is b(0) prime?", "a": "False" }, { "q": "Suppose 0*d + 14 = 2*a - 4*d, 4*d = 4*a - 36. Suppose a*s - 4173 = 84. Suppose 0 = -m + 4*y + s, 1582 = m + 3*m + y. Is m composite?", "a": "True" }, { "q": "Let n(w) = w + 1 + 0 + 2 - 52*w**3 - 8*w**3. Is n(-2) a prime number?", "a": "False" }, { "q": "Let n be 78/9 + -2 + 8/(-12). Suppose 4*w = n + 10. Suppose -5*z + 3*j = -1249, -z - w*j = 167 - 426. Is z composite?", "a": "False" }, { "q": "Suppose -853 = -3*b - 31. Suppose p = -3*y - 355, -331 = 4*y - y - 5*p. Let a = b + y. Is a a prime number?", "a": "True" }, { "q": "Is 9/24 + (6 - (-4630191)/24) a prime number?", "a": "True" }, { "q": "Is 165115 - (7 + 14/(-2)) a composite number?", "a": "True" }, { "q": "Is 12/(-15) + (-464472)/(-40) a prime number?", "a": "False" }, { "q": "Suppose 0 = 7*d - 3*d - 8. Suppose 4*r = d*v - 18 - 0, -3 = -3*v - 2*r. Suppose -43 = -v*a + 590. Is a a composite number?", "a": "False" }, { "q": "Let a(n) be the first derivative of -17*n**4/4 + 7*n**3/3 - 4*n**2 - n + 32. Is a(-5) prime?", "a": "True" }, { "q": "Suppose 9 = -3*d + 7*d + 3*f, 6 = 2*f. Is (-3491 + 0)/(-1 - d/3) composite?", "a": "False" }, { "q": "Suppose 0 = 3*f - 5*f + 4. Let d = -951 - -1636. Suppose 0 = -4*x + j + 1654, -2*j - d = -f*x + 145. Is x prime?", "a": "False" }, { "q": "Suppose -114 = -23*j - 45. Suppose 3*c - 4*d = -d + 171, 4*d + 175 = j*c. Is c a prime number?", "a": "True" }, { "q": "Let z(l) = -2231*l**2 - 4*l - 7. Let v(b) = -2230*b**2 - 4*b - 5. Let q(j) = -6*v(j) + 5*z(j). Is q(2) a prime number?", "a": "False" }, { "q": "Let p(y) = -4*y + 11. Let f be p(-2). Suppose -370 = -f*k + 17*k. Is k prime?", "a": "False" }, { "q": "Let j = 213 + -218. Let o(m) = 48*m**2 + 2*m - 19. Is o(j) prime?", "a": "True" }, { "q": "Is -2676*96/(-18) - 15 composite?", "a": "True" }, { "q": "Let m(h) = h**3 - 24*h**2 + 14*h + 37. Let g be m(24). Let u = g - -40. Is u a composite number?", "a": "True" }, { "q": "Suppose 4*o - 21*o + 163608 = 0. Let r = o - 6697. Is r a prime number?", "a": "True" }, { "q": "Let a(p) = 78389*p**2 - 10*p + 2. Is a(-1) prime?", "a": "True" }, { "q": "Is 2*(-1 + -2) - (4 + -66645) a prime number?", "a": "False" }, { "q": "Let p(a) be the second derivative of -a**5/20 - 5*a**4/3 + 3*a**3/2 - 21*a**2/2 + 16*a. Is p(-22) composite?", "a": "True" }, { "q": "Let j(v) = -15*v**2 - v. Let o be j(-1). Is -4 - 2442/12*o a prime number?", "a": "False" }, { "q": "Let c be 2*206/(-26) - 8/52. Let l be (-3)/(12/c) + 2562. Suppose s + l = 4*g, 7*g + 2*s = 4*g + 1919. Is g prime?", "a": "True" }, { "q": "Let k = -613 - -306. Let t = 1334 + k. Is t composite?", "a": "True" }, { "q": "Let s(n) = -11*n + 2*n - 10*n + 5 + 15*n**2 - n**3 - 2*n**2. Let w be s(10). Suppose 6*u - w - 419 = 0. Is u prime?", "a": "True" }, { "q": "Suppose 2*s + 780 = 82. Let o = s + 516. Is o prime?", "a": "True" }, { "q": "Is 152566*4/36*(-6 + 12 - -3) a prime number?", "a": "False" }, { "q": "Suppose -5*b - 2*f = -90, -5*b - 8*f + 90 = -3*f. Let x(t) = 1 + 6*t**2 - 3*t**2 + 15*t - b*t. Is x(6) prime?", "a": "False" }, { "q": "Suppose 0 = -21*g + 18*g - 9, -939010 = -4*u + 2*g. Is u prime?", "a": "False" }, { "q": "Suppose -4*y + t - 3*t = -18, 2*t = 10. Suppose 0 = d + y*d + 5*f - 548, 3*d - 4*f - 593 = 0. Is d a composite number?", "a": "False" }, { "q": "Let n(v) = 202*v + 79181. Is n(0) a prime number?", "a": "True" }, { "q": "Let d(o) = -8*o**3 - 24*o**2 - 77*o + 90. Is d(-19) a composite number?", "a": "True" }, { "q": "Suppose 2*l + 10 = 0, -4*l + 10340 = 5*k + 25190. Let g = -1927 - k. Is g a prime number?", "a": "True" }, { "q": "Let b = 29228 + -17094. Is b composite?", "a": "True" }, { "q": "Suppose 1365*m - 1371*m + 274614 = 0. Is m a composite number?", "a": "True" }, { "q": "Suppose -4*f = o + 52, -6*o = -7*o - 2*f - 62. Let b = 154 + o. Is b composite?", "a": "True" }, { "q": "Suppose -892166 + 212691 = -5*w - z, z - 543580 = -4*w. Is w prime?", "a": "False" }, { "q": "Let k = -3627 + 22091. Suppose k = 10*c + 5524. Is c composite?", "a": "True" }, { "q": "Suppose -3*m + 2*y = -37719, -9*m - 3*y - 50293 = -13*m. Is m a composite number?", "a": "True" }, { "q": "Let y(w) = -74*w - 117. Let h be (2/(-4))/(12/168). Is y(h) prime?", "a": "True" }, { "q": "Suppose 14*y - 408867 = 580527. Is y a prime number?", "a": "False" }, { "q": "Let b(h) = 1098*h - 539. Is b(2) a composite number?", "a": "False" }, { "q": "Let d = -20 + 33. Let j(c) be the second derivative of 11*c**3/6 - 5*c**2 + 157*c. Is j(d) a prime number?", "a": "False" }, { "q": "Let y be (140/12 - 5)*12/5. Suppose y*w - 5446 = 14*w. Is w a prime number?", "a": "False" }, { "q": "Suppose 3*n - 116339 = -0*n - j, n = -4*j + 38776. Let p = n - 22369. Is p prime?", "a": "True" }, { "q": "Suppose 25*x = -91*x + 29*x + 9538071. Is x a composite number?", "a": "True" }, { "q": "Let f(a) = -a**3 - 16*a**3 - 2 - 25*a**3 - 9*a**2 + 6*a**2 - 4*a. Suppose 6*j - 5*j + 3*u = 3, -3*j = -2*u + 13. Is f(j) a composite number?", "a": "False" }, { "q": "Let q be (-6 + 10 + -6)/(-1). Suppose 4*h = 10*x - 8*x + 31272, q*h + x = 15632. Is h composite?", "a": "False" }, { "q": "Let w = -7 - -13. Suppose 17 = -w*z - 19. Is z/(-14) - (-34212)/42 a composite number?", "a": "True" }, { "q": "Let g = 53 - -190. Suppose -g = -u + 1424. Suppose -586 = -3*z + u. Is z prime?", "a": "True" }, { "q": "Let m = 6226 + 7603. Is m a prime number?", "a": "True" }, { "q": "Suppose 5*c - 4*i + 508 = 0, 3*c = -6*i + 2*i - 324. Let s be 683/((-3)/(-3 + 0)). Let j = s - c. Is j prime?", "a": "True" }, { "q": "Is (12 + -21 - 3) + 11711 a prime number?", "a": "True" }, { "q": "Suppose -4*x - 16 + 47 = -5*d, -x + 4 = -5*d. Let q be 2/(-3)*x*(-3)/6. Is (-2)/(-4) - (q + 3324/(-8)) prime?", "a": "False" }, { "q": "Suppose 0 = -123*c + 142*c - 167561. Is c composite?", "a": "False" }, { "q": "Let d(s) = -s**2 - 2. Let q be d(0). Let v be (-956)/((-2 - -3)*q). Suppose -2*r + v + 139 = -i, 0 = -5*r + i + 1538. Is r a composite number?", "a": "False" }, { "q": "Let q = -73797 - -105564. Is 1*8/(-20) - q/(-5) prime?", "a": "True" }, { "q": "Suppose 2 = 2*y, -4*m - 5*y + 271346 = -160999. Is m prime?", "a": "False" }, { "q": "Suppose -5*o + 9487 = -12728. Suppose -o = 16*q - 17*q. Is q composite?", "a": "True" }, { "q": "Let g = -132 - -82. Let h = g - -50. Suppose -130 = -2*j - h. Is j prime?", "a": "False" }, { "q": "Let t be (1 - 7)*((-3)/(-2) + -2). Suppose p + 9 = 3*i - 2*p, -i + t*p = -9. Suppose m = 2*c + 451, i*m + 3*c + 905 = 2*m. Is m a composite number?", "a": "False" }, { "q": "Let a = 408 + -623. Suppose -2*k + 1604 = -5*l, -2*l - 513 + 2919 = 3*k. Let s = k + a. Is s prime?", "a": "True" }, { "q": "Let r = 79711 + -37406. Is r a composite number?", "a": "True" }, { "q": "Suppose -20 + 0 = -5*n. Is (824/3)/n*(-132)/(-8) composite?", "a": "True" }, { "q": "Let t(h) = -688*h**3 - 15*h**2 - 39*h - 45. Is t(-8) a composite number?", "a": "False" }, { "q": "Suppose -30*p + 762142 = -1307354 - 1562214. Is p composite?", "a": "True" }, { "q": "Let v = 28335 + -18658. Is v prime?", "a": "True" }, { "q": "Let g(j) = 2*j**3 - 4*j**2 + 4*j - 2. Let a be g(7). Suppose 11*f = -f + a. Is f prime?", "a": "True" }, { "q": "Let r = 40441 + -23430. Is r prime?", "a": "True" }, { "q": "Suppose -3*k - 3*u = -4*u - 4, -2*k = -5*u + 6. Is (-16892)/(-7) + (-3)/42*k prime?", "a": "False" }, { "q": "Let m(l) = 90*l**2 + 3*l + 2. Let r be m(-5). Suppose 5*k = r + 3978. Suppose k = 5*a + 288. Is a prime?", "a": "True" }, { "q": "Let w = 31972 + -17556. Suppose 4*l + w = 12*l. Suppose -14*y + l = -12*y. Is y a prime number?", "a": "False" }, { "q": "Let q be (-139)/(-2) - (-6 - 55/(-10)). Let r = 1497 + q. Is r prime?", "a": "True" }, { "q": "Is -2 - 583/(-11)*1223 a composite number?", "a": "False" }, { "q": "Is ((-30)/45)/((-4)/639546) a composite number?", "a": "False" }, { "q": "Suppose -5*x = -3*y - 242, -5*x + 247 = -0*y + 2*y. Let p = x - 47. Is (-3)/p*2 + 1*22 prime?", "a": "True" }, { "q": "Let p = 105 + 467. Suppose 1283 = 7*k - p. Is k composite?", "a": "True" }, { "q": "Suppose 0 = -r - l + 3 + 5, 0 = -3*r - 5*l + 30. Suppose r*o - 24482 = -a, 3*a = o - 0*a - 4906. Is o a composite number?", "a": "True" }, { "q": "Suppose -5*b - 2*q = -3*b - 288, 0 = 4*b + q - 570. Suppose -138*u - 15592 = -b*u. Is u prime?", "a": "False" }, { "q": "Let f(v) = 80*v**2 + 197*v + 16. Is f(-35) composite?", "a": "False" }, { "q": "Suppose -80306 = -d - q, -2*q + 50569 = -2*d + 211193. Is d prime?", "a": "True" }, { "q": "Let g = -40 - 151. Let z = g + 1361. Suppose -5*l - 1669 - 2966 = -4*o, o + l = z. Is o a prime number?", "a": "False" }, { "q": "Suppose 23*d + 1191321 - 2139709 = 2523991. Is d prime?", "a": "False" }, { "q": "Suppose -2*g = -3*x - 2818, 3*x + 4 = x. Suppose 8*z + 2*l = 6*z + g, -1398 = -2*z + 2*l. Is z prime?", "a": "True" }, { "q": "Suppose -g - 495 = 2*q, 4*g + 1961 - 725 = -5*q. Suppose 0 = 3*z - 169 + 2626. Let f = q - z. Is f composite?", "a": "False" }, { "q": "Suppose g - 1 = -5*l + 4, 2*g - 10 = 3*l. Suppose 0*h - 3*h - 7799 = -4*d, -g*h + 5842 = 3*d. Is d a prime number?", "a": "True" }, { "q": "Suppose 0 = 2*s - 4*k - 16, 0 = 2*s - k - 2 - 5. Suppose 2*t + 2*w = -s*w + 2510, 0 = 2*t + 3*w - 2507. Is t a composite number?", "a": "False" }, { "q": "Let w(c) be the second derivative of 1/3*c**4 + 1/3*c**3 + 0 + 7*c**2 + 13*c. Is w(-8) a prime number?", "a": "False" }, { "q": "Suppose -5*s + 0*s + 12740 = i, -5*i = -4*s + 10221. Suppose 7*q = 14762 + s. Is q prime?", "a": "True" }, { "q": "Let z be 1*(6/(-33) - (-317945)/(-55)). Let o = -20 - z. Is o prime?", "a": "False" }, { "q": "Let p = 47618 - 33351. Is p prime?", "a": "False" }, { "q": "Let v = -66 - -66. Suppose 7*o - 1137 - 298 = v. Is o prime?", "a": "False" }, { "q": "Let w(j) = j**3 - 1. Let s(b) = 5*b**3 - 3*b**2 - 23*b - 26. Let g(d) = s(d) - 4*w(d). Is g(15) a prime number?", "a": "True" }, { "q": "Let n(m) = -5694*m + 671. Is n(-6) prime?", "a": "False" }, { "q": "Suppose -w - 5 = p + 1, -3*w + 14 = -5*p. Let g be (8/(-10))/((-1)/((-35)/w)). Suppose -9*i = -g*i + 725. Is i composite?", "a": "True" }, { "q": "Let k be (17/(-2))/(-5 - (-9)/2). Suppose -10*b - 27923 = -k*b. Is b a composite number?", "a": "False" }, { "q": "Suppose 21*c - 26*c = -45. Let t(u) = c*u**2 - 7*u + u**3 + 12*u + 4*u. Is t(-7) prime?", "a": "False" }, { "q": "Let w(q) = q**3 + 34*q**2 + 54*q + 476. Is w(-25) prime?", "a": "True" }, { "q": "Let u = -145 - -175. Is 2093/5 + -3 + 102/u composite?", "a": "False" }, { "q": "Let u = -187 + 128. Let m = u + 17. Is m/2*(-1)/((-3)/(-13)) a composite number?", "a": "True" }, { "q": "Let l be ((-95)/(-25))/(3/(14 + 1)). Suppose -10*w = -l*w + 88839. Is w a composite number?", "a": "False" }, { "q": "Suppose f + 135 = 5*p, -5*f = -4*f - 5. Suppose -7*j - p = -3*j. Let k(t) = -58*t - 25. Is k(j) a prime number?", "a": "False" }, { "q": "Suppose 6*r - 5*r = -12*r + 581399. Is r prime?", "a": "False" }, { "q": "Let w(u) be the third derivative of 17*u**5/12 - u**4/4 - u**3/3 + 48*u**2. Is w(3) a prime number?", "a": "False" }, { "q": "Let i(z) = z**3 - 10*z**2 + 16*z + 7. Let g be i(8). Suppose -2*a + g*a = -10, 4*t - 5*a - 18526 = 0. Is t a prime number?", "a": "False" }, { "q": "Suppose -25*n - 155314 = -2*i - 21*n, 5*i + 4*n = 388285. Is i a prime number?", "a": "False" }, { "q": "Suppose 2*f + 12*p - 413506 = 0, 5*f - p = 8*f - 620344. Is f a prime number?", "a": "True" }, { "q": "Let m = 3525 - -7186. Is m composite?", "a": "False" }, { "q": "Let v = 20 + -12. Let h be -5062*(-2 + -2)/v. Suppose 5*n = 4*i - h, 0 = i + i + 4*n - 1246. Is i prime?", "a": "False" }, { "q": "Suppose -3*z + 22036 = 4*l, z = 28*l - 30*l + 11018. Is l composite?", "a": "True" }, { "q": "Let o(w) = -3*w - 52. Let n be o(-24). Let g = n - -1768. Suppose -286 - 1486 = -4*f - 4*p, 0 = -4*f + 4*p + g. Is f prime?", "a": "False" }, { "q": "Suppose q = -5*w - 0*q + 33715, 5*w + 2*q - 33720 = 0. Suppose 5*n - 5443 = -5*b + w, 5*b = 5*n + 12185. Is b a composite number?", "a": "False" }, { "q": "Is 2/(-18) - (1437575/(-45) - -3) a prime number?", "a": "False" }, { "q": "Is 2 + 129873 - (-132)/11 a prime number?", "a": "True" }, { "q": "Let m(k) = -39*k**3 - 5*k**2 - k + 9. Suppose -x + 2*s = -2*x - 4, x + 4 = -5*s. Is m(x) composite?", "a": "True" }, { "q": "Let x be 7050/175*(-1 - 6). Is -7*(-6 + x/6) a prime number?", "a": "False" }, { "q": "Let q be -3 + 9 + -1*1. Suppose -2*h + 10074 = 4*u, 16*h + q*u - 5034 = 15*h. Is h composite?", "a": "False" }, { "q": "Let s(p) = -23*p**3 - p**2 - p + 12. Suppose 4*t - 25 = q, 5*t - 20 - 25 = 4*q. Is s(q) composite?", "a": "True" }, { "q": "Is (-200)/700 + (36866/14 - 0/1) a composite number?", "a": "False" }, { "q": "Suppose 107*h = 45*h + 52*h + 446150. Is h a prime number?", "a": "False" }, { "q": "Let k be (-16)/(-10)*150/60. Suppose 0 = v - 5*v + 2052. Suppose -k*p + v = 69. Is p a composite number?", "a": "True" }, { "q": "Suppose 2*p - 68 = -g, 0*p - 4*g + 34 = p. Let m(c) = 452*c + 123. Is m(p) prime?", "a": "False" }, { "q": "Let c be ((-478)/(-4))/(3/6). Let g = c - -66. Let v = g - -308. Is v a composite number?", "a": "False" }, { "q": "Let g = -24999 + 36056. Is g composite?", "a": "False" }, { "q": "Let k = -91 - -326. Suppose 0 = 5*r - 2*o + 792 - k, 234 = -2*r - 2*o. Let m = -18 - r. Is m a prime number?", "a": "False" }, { "q": "Let l(a) = -a**3 - 12*a**2 + 3*a + 34. Let v be l(-12). Is ((-8857)/(-17))/(v/(-6)) composite?", "a": "True" }, { "q": "Is 30/(-80) - 2467255/(-40) prime?", "a": "True" }, { "q": "Let q(y) = y**2 + 11*y + 21. Let p be q(-9). Suppose 11 = -p*z + 20. Suppose -58 = -z*x + 17. Is x composite?", "a": "True" }, { "q": "Suppose u - 201 = f - 72, -3*u + 2*f = -384. Let z = u - 103. Is z a prime number?", "a": "True" }, { "q": "Let w be ((-1)/1)/(2/6610). Let i = -1612 - w. Is i a composite number?", "a": "False" }, { "q": "Let w be 1 - (-2304)/(2 - 8). Suppose -4*n = n - 3180. Let u = n + w. Is u a prime number?", "a": "False" }, { "q": "Let t(p) = p + 14. Let z(f) = -f**3 + 9*f**2 - 21*f + 4. Let n be z(6). Let w be t(n). Suppose k + 0*k - 757 = w. Is k composite?", "a": "False" }, { "q": "Let p(a) = a**3 + 13*a**2 - 7*a + 5. Let l(i) = -i - 1. Let r(c) = c**3 + 3*c**2 - c - 1. Let j(d) = -5*l(d) + r(d). Let x be j(-3). Is p(x) a prime number?", "a": "False" }, { "q": "Let b(d) = 8122*d**2 + 46*d - 97. Is b(2) composite?", "a": "True" }, { "q": "Suppose -g + 1 + 2 = 0. Suppose 4*q + 7828 = -4*z, -3*z + 5861 + 22 = -g*q. Let n = q + 3320. Is n composite?", "a": "False" }, { "q": "Let g = 13 - -27698. Suppose -g = -84*c + 75*c. Is c prime?", "a": "True" }, { "q": "Let w(a) be the second derivative of a**4/3 + a**3 + 3*a**2/2 - 110*a. Suppose -6*n + f - 25 = -3*n, -3*f = -12. Is w(n) a composite number?", "a": "False" }, { "q": "Suppose -23056 = -v - 4*v + 2*s, -3*v - 4*s = -13818. Let a = v + -667. Is a a composite number?", "a": "False" }, { "q": "Suppose -2*j = 5*x - 6803, 8*x - 5*j = 4*x + 5449. Is (x/3)/((-1)/(-3)) a prime number?", "a": "True" }, { "q": "Suppose 0 = -i + 4, -61*u - 338990 = -63*u - 4*i. Is u prime?", "a": "False" }, { "q": "Suppose 323 + 712 = 7*d - 8. Is d prime?", "a": "True" }, { "q": "Is (-11 + 14 + -4)*-11855 prime?", "a": "False" }, { "q": "Suppose -235*f + 279*f - 544148 = 0. Is f a prime number?", "a": "False" }, { "q": "Let j = 32011 - 4400. Is j a composite number?", "a": "False" }, { "q": "Let i(l) be the first derivative of -l**4/4 - 3*l**3 - 8*l**2 - 10*l - 8. Let h be i(-7). Suppose h*s + 1012 = 8*s. Is s prime?", "a": "False" }, { "q": "Suppose 5*d - 78848 = -386*z + 387*z, -3 = z. Is d composite?", "a": "True" }, { "q": "Let q = 2420 + -1176. Let z = q - 685. Is z a prime number?", "a": "False" }, { "q": "Suppose -o - 4*n = 1149, 5*o + 5865 = 3*n + n. Let q be o + (12/(-2) - -3). Is ((-3)/6)/(2/q) prime?", "a": "True" }, { "q": "Let z be (0 - 2118)*(-8)/16. Let n be 2*2/4*3. Suppose -5*l + 5220 = 5*c, 0 = -2*l + n*l - 2*c - z. Is l a prime number?", "a": "True" }, { "q": "Let g = -38 - -40. Suppose b - 3*b + 6 = 0, -6 = -4*p - g*b. Suppose f = -t + 1211, p*t + 2*t - 2436 = 5*f. Is t composite?", "a": "False" }, { "q": "Suppose 1472 - 128 = 3*f. Let s = -264 + f. Suppose -4*c + s = -84. Is c a prime number?", "a": "True" }, { "q": "Let f(v) = 141*v**2 + 32*v - 107. Let a be f(25). Is (-8)/44 + a/22 prime?", "a": "False" }, { "q": "Let s = 13042 - 8858. Let u = s - 2917. Is u prime?", "a": "False" }, { "q": "Let o(m) = 217*m**2 + 2*m - 4. Let h be 100/(-36) + 4/(-18). Is o(h) a prime number?", "a": "False" }, { "q": "Let v be 4/(6/3 + -3). Let x be (6/v)/((-9684)/(-3232) - 3). Suppose s + s = x. Is s prime?", "a": "False" }, { "q": "Is (1/3*(-7 - -6))/(6/(-1575162)) prime?", "a": "True" }, { "q": "Is (-260349)/(-6) + (-12)/24 + 0/1 prime?", "a": "True" }, { "q": "Let d = -5 + 22. Let f(o) = o**2 - 16*o - 14. Let p be f(d). Suppose -146 - 121 = -p*l. Is l composite?", "a": "False" }, { "q": "Suppose -3*m + 825 = -3*n, 3*n - 1399 = -5*m - 0*m. Let w = 876 - 619. Suppose -x + w = -m. Is x a composite number?", "a": "True" }, { "q": "Let l be 0 - -3 - (-2 + -28). Suppose 37 = 5*c + 3*r - 64, 5*c - 2*r = 91. Let u = l - c. Is u a prime number?", "a": "False" }, { "q": "Suppose -3*x - 143630 = 2*d - 409539, -177270 = -2*x - 4*d. Is x a prime number?", "a": "False" }, { "q": "Let k = 88 + -84. Suppose g - 3860 = k*y - 7*y, 3*g - 1292 = -y. Is y composite?", "a": "True" }, { "q": "Let q(i) = -i**2 + 101*i + 46. Let r(k) = -k**2 + 51*k + 23. Let t(w) = 6*q(w) - 11*r(w). Is t(-17) a prime number?", "a": "False" }, { "q": "Let y = 141 - 119. Suppose 312 = 5*l + y. Is l a composite number?", "a": "True" }, { "q": "Let o = -109763 + 293808. Is o a composite number?", "a": "True" }, { "q": "Suppose c - 216165 = -5*q, -2*q + 5*c = 10*c - 86443. Is q a prime number?", "a": "False" }, { "q": "Let h(g) be the first derivative of g**6/360 + g**5/10 + g**4/12 + 4*g**3 - 9. Let k(a) be the third derivative of h(a). Is k(-15) a composite number?", "a": "False" }, { "q": "Let l be (4 + -4 + 7)/1. Suppose 819 = l*j - 14602. Is j composite?", "a": "False" }, { "q": "Suppose 12*n = 10*n - 8, o - 2*n = 4273. Let f = o - 2284. Is f composite?", "a": "True" }, { "q": "Suppose k + 17 = -2*c - 0*c, -2*k - 3*c = 32. Let n(y) = y**2 - 12*y - 32. Is n(k) composite?", "a": "False" }, { "q": "Let h(x) = -x**2 - x + 11. Let u be h(2). Is -4 - (-293 + (-10)/u) a composite number?", "a": "True" }, { "q": "Let h be (0/(-3))/(2 + -4) - -2. Let z be ((3 + -4)*0)/((-6)/h). Suppose z = -5*y + 2*y + 2307. Is y composite?", "a": "False" }, { "q": "Let l be (6 + 0)/((-30)/45). Let i be 63/14*6/l. Is (i/(-36)*-3)/((-2)/4168) prime?", "a": "True" }, { "q": "Let p be 33/(-22)*(-8)/6. Suppose 15654 = 4*a + p*a. Is a a prime number?", "a": "True" }, { "q": "Suppose -1607828 = -15*q - 149581 + 543998. Is q a prime number?", "a": "False" }, { "q": "Suppose 0 = -2*c + 2, p - 2*c - 1276 = -0*p. Suppose 2*i + 170 = p. Suppose m + 91 = i. Is m prime?", "a": "True" }, { "q": "Let d = 211 + -411. Let k = d - -1317. Is k composite?", "a": "False" }, { "q": "Let d(x) = -2*x**2 + 25*x - 3. Let p be d(12). Let q be -587 + p - (2 - 0). Let w = q - -1514. Is w composite?", "a": "True" }, { "q": "Let g = -57866 - -136785. Is g prime?", "a": "True" }, { "q": "Suppose 50*t + 27*t + 11*t = 8485224. Is t a composite number?", "a": "True" }, { "q": "Let p = -28135 - -43532. Is p a composite number?", "a": "True" }, { "q": "Let a(t) = t**3 + 34*t**2 - 35*t + 79. Is a(30) prime?", "a": "True" }, { "q": "Let g = -33 - -983. Let j = -116 + g. Suppose j = -2*w + 8*w. Is w composite?", "a": "False" }, { "q": "Suppose 70*i - 10793 = 69*i. Is i composite?", "a": "True" }, { "q": "Let k = 3877 - 6070. Let x = 4372 + k. Is x composite?", "a": "False" }, { "q": "Let d(v) = 2144*v - 737. Is d(27) a prime number?", "a": "False" }, { "q": "Suppose m - v - 89287 = 0, 0 = 4*m - 8*v - 218741 - 138407. Is m composite?", "a": "True" }, { "q": "Is 6888700/105 - (-3)/9*-5 a prime number?", "a": "False" }, { "q": "Let q(z) = z + 22. Let m be q(12). Suppose -m*v = -20*v - 3458. Is v a composite number?", "a": "True" }, { "q": "Suppose 0*d + 0*d = d. Suppose d*z - 5*z = -20. Suppose -5*i - 3*q + 596 = 0, 2*i - 262 = -z*q - 18. Is i prime?", "a": "False" }, { "q": "Suppose 1048*x - 1031*x - 1445901 = 0. Is x composite?", "a": "True" }, { "q": "Suppose 3*n = -0*n + 6. Let i be (-1 + 1)/(-36 + 33). Suppose b - 4*b - j = -647, i = -n*b + 3*j + 446. Is b a composite number?", "a": "True" }, { "q": "Let x be (-1197)/(-12) - (-2)/8. Let p = x - -80. Let w = 458 - p. Is w a composite number?", "a": "True" }, { "q": "Let z be (5 + (-4)/(-4))*-1401*3. Is z/(-14) - 8/28 prime?", "a": "True" }, { "q": "Let l be (-4)/2*(-4)/((-16)/406). Let z = 674 - l. Is z composite?", "a": "False" }, { "q": "Let j(a) = a**2 + 3*a + 121117. Is j(0) prime?", "a": "False" }, { "q": "Let m(z) = 969*z + 52. Let c be -5*4*2/(-8). Is m(c) a composite number?", "a": "True" }, { "q": "Let k(t) = 7*t - 42. Let g(n) = 1. Let b(i) = 35*g(i) + k(i). Let x be b(2). Suppose 3*l = -4*m + 1570, x*l + 385 = m + 4*l. Is m prime?", "a": "False" }, { "q": "Let a = -35234 + 73356. Suppose -11*v + a = 3*v. Is v composite?", "a": "True" }, { "q": "Suppose 2012 = -2*y + 12640. Is (-11)/(11/y)*-1 a prime number?", "a": "False" }, { "q": "Is (1/2)/(5 + 75545/(-15110)) a prime number?", "a": "True" }, { "q": "Let d = 114 - 65. Let o = 51 - d. Suppose 8470 = 3*f - 5*k, 6 + 4 = -o*k. Is f composite?", "a": "True" }, { "q": "Let b(l) = -l**3 - 12*l**2 - 286*l - 36. Is b(-35) a composite number?", "a": "False" }, { "q": "Is (817185/(-50) - (-1)/5)/(31/(-62)) a composite number?", "a": "False" }, { "q": "Let d = 17 - -7. Suppose -4*r + 32 = d. Suppose z = -r*z + 3165. Is z a prime number?", "a": "False" }, { "q": "Suppose 4 = 4*s, -2*i = -4*i - 4*s + 16. Suppose -i*z = -17466 + 4500. Is z prime?", "a": "True" }, { "q": "Let a be (8 + -6)/((-1)/(-18)). Suppose t = -52 + a. Is ((-2252)/t)/((-1)/(-4)) composite?", "a": "False" }, { "q": "Let m = -63763 - -104216. Is m a prime number?", "a": "False" }, { "q": "Let l(x) be the third derivative of 229*x**5/60 - x**4/2 - 4*x**3/3 - 12*x**2 + 2. Is l(3) a composite number?", "a": "False" }, { "q": "Suppose -3*m + 3*c - 4 - 8 = 0, -3*m - c - 16 = 0. Let j(t) = -80*t + 22. Let y(k) = 40*k - 11. Let d(g) = -2*j(g) - 5*y(g). Is d(m) a prime number?", "a": "True" }, { "q": "Let a be -1 + (18 - 2) - 0. Suppose a*c - 28801 = 60284. Is c a composite number?", "a": "False" }, { "q": "Let p(m) = m**2 - 12*m + 13. Let w be p(9). Suppose -187*n + 195*n = 288. Let c = n + w. Is c prime?", "a": "False" }, { "q": "Suppose -5*t - 2*y + 2666495 = 0, -4*y - 131 = -151. Is t a composite number?", "a": "False" }, { "q": "Let m be (-14234)/(-3)*(6 - (-18)/(-4)). Suppose -2*t + m = 9*t. Is t prime?", "a": "True" }, { "q": "Suppose 26 = -2*p + 4*c, 0*p + 30 = -3*p - 3*c. Let r = -428 + 1052. Let q = r - p. Is q a composite number?", "a": "True" }, { "q": "Is ((-3)/12*-254)/(3 + (-3572)/1192) composite?", "a": "True" }, { "q": "Let x = 550 - 1683. Let b = -3722 + 2110. Let w = x - b. Is w prime?", "a": "True" }, { "q": "Let z = -30 + 34. Is ((-194)/(-4))/(z/424) prime?", "a": "False" }, { "q": "Suppose 0 = -171*i + 169*i - 4*j + 6230, -5*j + 6233 = 2*i. Is i prime?", "a": "True" }, { "q": "Let v = -17 - -27. Is (20/(-6))/(-5*v/24825) composite?", "a": "True" }, { "q": "Suppose -4*o = 3*r - 23, -18 - 17 = -4*r - o. Suppose 2*w + r = -z, z - 3*w = -0 + 16. Is (z + 2/(-10))/((-6)/(-885)) a prime number?", "a": "False" }, { "q": "Suppose 322813 + 168295 = 4*y - 0*y. Is y a composite number?", "a": "False" }, { "q": "Let n(w) = w**3 + 32*w**2 + 60*w + 5. Let d be n(-30). Suppose d*p - 18 + 3 = 0, 0 = 2*g + 2*p - 3320. Is g a prime number?", "a": "True" }, { "q": "Let a(u) = -u**3 + 34*u**2 + 20*u + 44. Is a(15) a prime number?", "a": "False" }, { "q": "Suppose 0 = 5*v - 4*s - 69223, v - 4*v + 4*s + 41537 = 0. Is v prime?", "a": "False" }, { "q": "Let w = -150 - -4285. Is w a composite number?", "a": "True" }, { "q": "Suppose -54*c + 60*c = 18. Let o be ((-2)/(-4))/(2/24). Suppose 580 = o*n - n - c*j, -5 = -j. Is n prime?", "a": "False" }, { "q": "Suppose -4333 = -2*b + 2*s + 3947, 0 = -2*b - 4*s + 8262. Suppose b = 5*n - 1823. Suppose 5*u - k + 378 - 1848 = 0, 4*u - n = 4*k. Is u a prime number?", "a": "True" }, { "q": "Let s(g) be the third derivative of g**6/120 + 7*g**5/60 - g**4/12 - 4*g**3/3 - 16*g**2. Let r be s(-7). Let l = r + 139. Is l prime?", "a": "False" }, { "q": "Suppose 4*c - 139 = 5*a + 86, -5*c - 4*a = -230. Let g = c + -48. Is (g + -3)*(1 - 2334) prime?", "a": "True" }, { "q": "Let l(m) = 122*m**3 - 3*m**2 - 75*m - 23. Is l(13) composite?", "a": "True" }, { "q": "Is -2 - 12/64*-12*21404 composite?", "a": "False" }, { "q": "Let b = 122 - 119. Suppose 0 = 5*a - 10, -b*a = 5*u - 554 - 6707. Is u a composite number?", "a": "False" }, { "q": "Is (-4)/10 + (343437/5 - (-16)/(-4)) prime?", "a": "True" }, { "q": "Let g = 43620 - -9229. Is g a composite number?", "a": "True" }, { "q": "Suppose -4*q - 4*b - 32 + 0 = 0, 4*q + b = -35. Let x be 11499/q + (-2)/6. Is (1 - -1) + x/(-2 - 0) a composite number?", "a": "False" }, { "q": "Let n(s) = 32*s**3 - 6*s**2 - 8*s + 61. Is n(6) prime?", "a": "True" }, { "q": "Suppose -61*k = -49*k + 114*k - 2666538. Is k composite?", "a": "False" }, { "q": "Suppose -5*r = k - 12165, -2*r + 4393 = 2*k - 19961. Suppose -3*h - 2*h + k = 5*f, 12187 = 5*h - 2*f. Is h composite?", "a": "False" }, { "q": "Let b be 3/(0 + 7/(280/(-12))). Is (-18)/b + -2 - (-11144)/70 a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*v + 2*w + 172, 228 - 28 = 4*v + 5*w. Let f be 76/(-18) + 10/v. Is f/18 - (-22619)/9 prime?", "a": "False" }, { "q": "Let d(s) = s**2 - 8*s + 10. Let j be d(8). Suppose 3*o = w - 306, j + 6 = 4*o. Suppose 7*y - w = 4. Is y a prime number?", "a": "False" }, { "q": "Let o(h) = 5167*h - 1453. Is o(8) a prime number?", "a": "True" }, { "q": "Let u(q) = -q**3 + 3*q**2 + 3*q - 2. Let n be u(3). Suppose 6*t - 4 = n*t. Is (5 + 3)/t + -3 + 556 prime?", "a": "False" }, { "q": "Let n(q) = 2*q**3 + 4*q**2 - q + 3. Let m(r) = -r**3 - r**2. Let t(h) = 3*m(h) + n(h). Let j be t(0). Let d(w) = 378*w + 1. Is d(j) a prime number?", "a": "False" }, { "q": "Let r be 20*((-76)/(-16) + -4). Let h(y) = -14*y + 4*y**2 + 20 - 5*y**2 + 4*y**2. Is h(r) a prime number?", "a": "False" }, { "q": "Let v(x) = x**2 + 13*x - 11. Let q be v(-13). Let s be 2/(-5)*((5 - q) + -1). Is 10026/(-12)*4/s a prime number?", "a": "True" }, { "q": "Let o be ((-4865)/(-15) + 6)/((-3)/(-27)). Let n(h) = -5*h. Let a be n(-1). Suppose c - 3714 = -a*f, 0 = -5*f + f + c + o. Is f a composite number?", "a": "False" }, { "q": "Let y(s) = s + 1. Let x(o) = -91*o - 48. Let h(f) = x(f) + 3*y(f). Is h(-8) composite?", "a": "False" }, { "q": "Let d = 3676 - 2141. Is d composite?", "a": "True" }, { "q": "Suppose c + 2*m - 221161 = 0, 14*c - 663473 = 11*c + 4*m. Is c prime?", "a": "True" }, { "q": "Let y be -9 + 16 + (-4)/1. Suppose 2*k + 2*l - 1042 = 3*l, -l - 1563 = -y*k. Is k composite?", "a": "False" }, { "q": "Let a be (6/2 - -1587)*12/9. Let i = -567 + a. Is i prime?", "a": "True" }, { "q": "Let o be -1 - 5 - -12 - -6. Is (2 + -493)/(-13 + o) prime?", "a": "True" }, { "q": "Suppose 711*q - 749*q = -3545666. Is q composite?", "a": "False" }, { "q": "Let a be ((-42)/9*-1)/((-2)/3). Is (7563/24)/(a/(-56)) prime?", "a": "True" }, { "q": "Let i = 63 + -39. Let r be ((-5)/(-4))/((-114)/i - -5). Suppose x - 5 = -0*x, 3*b + r*x - 2788 = 0. Is b composite?", "a": "True" }, { "q": "Suppose 16397 + 42621 = 3*l + 1151. Is l composite?", "a": "False" }, { "q": "Let b(u) = 2161*u**2 - 330*u + 998. Is b(3) a composite number?", "a": "False" }, { "q": "Suppose -12*d = -11*d - 101875. Suppose 3*l - 60306 = -3*s, 0 = -3*l - 5*s - 41567 + d. Is l prime?", "a": "True" }, { "q": "Let m = 328 + 233. Suppose 2*k + 3*r - m = 6*k, -3*k - 5*r - 399 = 0. Let s = k - -249. Is s composite?", "a": "True" }, { "q": "Suppose -3*x + 165099 = 3*u, -5*x - 113830 = 3*u - 389003. Is x a prime number?", "a": "False" }, { "q": "Let i(r) = -r**2 - 4*r + 65. Let j be i(6). Suppose -j*q + 3761 = -4*q. Is q a composite number?", "a": "False" }, { "q": "Suppose -2*p = 3*b - 128446, p - 64205 = 43*b - 40*b. Is p prime?", "a": "True" }, { "q": "Let t(j) = -j**2 + 96*j + 54959. Is t(0) a prime number?", "a": "True" }, { "q": "Let l(y) = -y**3 - 17*y**2 - y - 12. Let j be l(-17). Suppose u = j - 2. Suppose 5*d + 3*r - 477 = 0, 0 = d - u*r + 5*r - 101. Is d a composite number?", "a": "True" }, { "q": "Suppose -12*r + 2865 + 2487 = 0. Suppose -k - r = -3219. Is k a composite number?", "a": "True" }, { "q": "Suppose -p + 7*p - 12 = 0. Suppose 0 = 3*j - 0*j, -p*h + 746 = 2*j. Suppose 0 = 4*a - h - 4471. Is a a composite number?", "a": "True" }, { "q": "Let y = -735 - -740. Let x(w) = 5*w + 7 - w - 2*w + 18*w**2. Is x(y) composite?", "a": "False" }, { "q": "Let f = 30 - 34. Let x be 4/(-3)*(-66)/f. Is 387/7 - x/(-77) a prime number?", "a": "False" }, { "q": "Suppose 9593320 - 1696844 = 76*z. Is z composite?", "a": "True" }, { "q": "Let p(m) be the third derivative of -1001*m**4/24 - 5*m**3/2 - 10*m**2. Is p(-4) a prime number?", "a": "True" }, { "q": "Suppose 0 = 3*v + 4*c - 191, -2*v + 122 = -3*c + 7*c. Suppose -5*j + v = -s, 4 = j + s - 5. Let n = j + 66. Is n prime?", "a": "True" }, { "q": "Suppose -m + 5*a = 11, 15 = 4*a + 3. Let o(x) = 906*x**2 + 2*x + 1. Let g be o(-1). Suppose 3*d - g = -2*q, q + 447 = 2*q - m*d. Is q a prime number?", "a": "False" }, { "q": "Let u = -111918 + 161671. Is u a composite number?", "a": "True" }, { "q": "Suppose 18*w - 4*w = -10*w. Suppose 5*i + 25 = w, -536 = 2*f - 5*i - 2375. Is f composite?", "a": "False" }, { "q": "Let b be -1*(-1)/(3/21). Let i be (123/3)/(2/14). Suppose -i = b*t - 1113. Is t a composite number?", "a": "True" }, { "q": "Let p = 111 + -115. Is ((-4)/(-6))/(p/(-10158)) a composite number?", "a": "False" }, { "q": "Let j(q) be the first derivative of 1/4*q**4 + 7*q + 18 + 3*q**2 - 11/3*q**3. Is j(14) a composite number?", "a": "True" }, { "q": "Suppose 2*c - 54392 = -k, 2*k - 44903 = c + 63856. Is k prime?", "a": "False" }, { "q": "Let c = 415 + -205. Is -3 - c/(-66) - 17847/(-33) a prime number?", "a": "True" }, { "q": "Let x = 16269 + 5078. Is x a prime number?", "a": "True" }, { "q": "Is (((-40)/(-8))/20)/(2/697288) a prime number?", "a": "False" }, { "q": "Let a be (2/(-6))/(2 + 27086/(-13542)). Suppose -4*y = p - 443, -y = -2*p - 3*p + a. Is p a composite number?", "a": "True" }, { "q": "Let y = -37 - -83. Suppose 3*q - 2*i - 20 - y = 0, 0 = -2*q + 5*i + 55. Is ((-10314)/20 - (-4)/q)*-2 composite?", "a": "False" }, { "q": "Suppose 249570 = 7*p - 2*p - 2*l, -5*l + 249605 = 5*p. Suppose 26*k - 165382 = -p. Is k prime?", "a": "True" }, { "q": "Suppose -6*g + 48 = -2*g. Let m(x) = -6*x + 51*x + 18*x - 7 + 29*x. Is m(g) prime?", "a": "True" }, { "q": "Suppose 176 - 636 = -10*m. Suppose m*o + 771 = 49*o. Is o prime?", "a": "True" }, { "q": "Let w = 27229 + -10218. Is w composite?", "a": "False" }, { "q": "Is 4/(-2) + 36984 + -3 + (-36)/(-3) a prime number?", "a": "False" }, { "q": "Let q(k) = -k**2 - 9*k + 23. Let v be q(-11). Let u be v/2 + (-81)/(-18). Suppose 0 = -u*g - 4*g + 12591. Is g composite?", "a": "False" }, { "q": "Let f(j) = -43124*j - 31. Is f(-3) a prime number?", "a": "True" }, { "q": "Let v be (-8)/(-1 + -1) + -2. Suppose -3*o - 13 = -v*b, -b + 2*o + 3*o = -10. Suppose b*z - 10 - 1245 = 0. Is z composite?", "a": "False" }, { "q": "Suppose 4*a - l = 131276, 8*l + 65638 = 2*a + 7*l. Is a composite?", "a": "True" }, { "q": "Suppose 5*n - 13 = -2*k + 2*n, -k + 2*n = 4. Suppose -h - 21 = k*p - 48, -5*h + 47 = 2*p. Suppose p*q - 2317 = 4*q. Is q a composite number?", "a": "False" }, { "q": "Suppose 3*q - 16593 = 2*r, -5*q = -5*r - 27722 + 72. Suppose q = 7*f - 2006. Is f a prime number?", "a": "False" }, { "q": "Suppose 2*k - 4*z - 13938 = 53852, 67784 = 2*k - 2*z. Is k a prime number?", "a": "True" }, { "q": "Let r(f) = 4*f + 7. Let a be r(-3). Let l(n) = -20*n**3 - 13*n**2 + 4*n + 4. Is l(a) a composite number?", "a": "True" }, { "q": "Let i be 58/(-203) - 424/(-14). Is 18/i + 26060/25 prime?", "a": "False" }, { "q": "Suppose -u + 13 = -4*m + 38, -10 = -m + u. Suppose 3*x = m*a + 5863, 0 = -5*x + 4*a - 2*a + 9797. Is x prime?", "a": "False" }, { "q": "Let z(o) = 126*o**3 + 2*o**2 - 2*o - 4. Suppose 0 = -y + 2*s + 5, -s + 0*s + 14 = 5*y. Let j be z(y). Let l = -2053 + j. Is l prime?", "a": "False" }, { "q": "Suppose -18*l + 17*l - 174908 = -5*c, 2*l + 69968 = 2*c. Is c composite?", "a": "False" }, { "q": "Suppose -2*m + 4*m - 10 = 0. Suppose m = -5*y, l - 5*y + 0*y - 975 = 0. Suppose l = 2*a - 4*t, 383 = a + 3*t - 122. Is a a prime number?", "a": "False" }, { "q": "Let z = 443622 - 262811. Is z a prime number?", "a": "True" }, { "q": "Suppose 4*u - 5 = -3*k, k - 2*k = -2*u + 5. Let r(l) = -643*l + 6. Is r(k) composite?", "a": "True" }, { "q": "Let h(y) be the second derivative of -y**4/12 - y**3/6 + 269*y**2/2 + 846*y. Let c = 0 + 0. Is h(c) prime?", "a": "True" }, { "q": "Suppose 0 = -3*y - 5*w + 15, 4*y - 2*w - 20 = -3*w. Suppose -c + 284 = r, -r = y*c - 22 - 270. Suppose -5*d = -r - 353. Is d a composite number?", "a": "False" }, { "q": "Suppose -3 = k + 2, -413 = -p - 3*k. Let l = 852 - p. Suppose -6*q - 70 + l = 0. Is q composite?", "a": "False" }, { "q": "Let d(r) = 1119*r + 197. Is d(20) prime?", "a": "False" }, { "q": "Let w(m) = -m**3 + 14*m**2 + 21. Let a be w(14). Suppose -1042 = a*u - 33403. Is u a composite number?", "a": "True" }, { "q": "Let i(x) = -10*x**2 - x - 6. Let k = -44 + 38. Let p be i(k). Let c = -29 - p. Is c composite?", "a": "False" }, { "q": "Suppose 0*m = 2*y + 3*m + 11, 2*m = -5*y. Suppose -4*w - 378 = -y*k, -7*k - w = -2*k - 923. Is k prime?", "a": "False" }, { "q": "Let m(l) = -38*l**3 + 5*l**2 + 70*l - 67. Is m(-12) a composite number?", "a": "True" }, { "q": "Suppose 3*g + 1391 - 12437 = 0. Let m = g + -2165. Is m composite?", "a": "True" }, { "q": "Is (-21 - -19) + (0 - -82701 - 0) composite?", "a": "False" }, { "q": "Is (167/334)/((-1)/(-33682)) a prime number?", "a": "False" }, { "q": "Let a = -234 + -322. Let r = -323 - a. Is r prime?", "a": "True" }, { "q": "Suppose 0 = 31*p + 19*p - 3048450. Is p a prime number?", "a": "False" }, { "q": "Suppose -35*q - 55*q = -19*q - 5294257. Is q a composite number?", "a": "False" }, { "q": "Suppose -x = -2*y + 13612, 5*y - x + 15304 = 49331. Is y a composite number?", "a": "True" }, { "q": "Let c be (6 - 12)/(-3) + 1*28. Let i(t) = t**2 - 10*t - 17. Is i(c) a prime number?", "a": "False" }, { "q": "Suppose -5*u - s = -227934, 5*u - 775*s - 227937 = -773*s. Is u prime?", "a": "True" }, { "q": "Suppose 9 = 2*y - 1. Suppose y*n = -2*n + 28. Suppose a + n*b = -0*b + 375, 3*b = 3*a - 1140. Is a composite?", "a": "False" }, { "q": "Is 43702/(13 + -16 - -5) composite?", "a": "False" }, { "q": "Let n(v) = 59 + 1005*v**2 - 2007*v**2 + 1001*v**2 + 7*v. Is n(0) composite?", "a": "False" }, { "q": "Is 166148/2 - (-21)/((-357)/85) prime?", "a": "False" }, { "q": "Let r(c) = -2700*c - 229. Is r(-13) prime?", "a": "True" }, { "q": "Let u be (1 - 1395/10)*10. Let r = u - -2034. Let c = 1862 - r. Is c a composite number?", "a": "False" }, { "q": "Let k(t) be the third derivative of -t**6/120 - 9*t**5/20 - 67*t**4/24 - 31*t**3/6 + 6*t**2 + 1. Is k(-28) a composite number?", "a": "True" }, { "q": "Suppose 267741 + 184026 = -26*g + 1583261. Is g a composite number?", "a": "True" }, { "q": "Suppose -9*f + 6*f = -207. Suppose 77*j - 5128 = f*j. Is j a prime number?", "a": "True" }, { "q": "Let p(z) = 20*z - 61*z + 16 - 7. Let y be p(6). Let l = y + 382. Is l a prime number?", "a": "False" }, { "q": "Suppose -2*z - 690 = 4*i + 356, i + 279 = 3*z. Let w = 837 + i. Suppose 4*r - 2*q - 456 = -3*q, 0 = 5*r + 2*q - w. Is r a composite number?", "a": "False" }, { "q": "Suppose -67*y + 54*y + 538668 = -78715. Is y a prime number?", "a": "True" }, { "q": "Suppose 3230 = -5*q + 6*q - 3*p, -5*p - 6461 = -2*q. Suppose -5*g + 132 + q = 0. Is g a composite number?", "a": "False" }, { "q": "Let j(f) = 2177*f**2 + 9*f - 7. Suppose 1 = d - 0*d. Is j(d) a prime number?", "a": "True" }, { "q": "Let l = 5368 - 4695. Is l a composite number?", "a": "False" }, { "q": "Let a = -129 - -135. Let i(j) = 146*j - 61. Is i(a) prime?", "a": "False" }, { "q": "Is 2529600/((-144)/(-12)) - -3 prime?", "a": "True" }, { "q": "Let l = -468 - 1276. Let c be (l/(-4))/(2/4). Let w = c - 401. Is w prime?", "a": "False" }, { "q": "Let g(w) = -1378*w**3 - 7*w**2 - 13*w - 11. Let k be g(-4). Suppose -k = 5*l - 16*l. Is l composite?", "a": "False" }, { "q": "Let i(m) = -2*m - 15. Let a be i(-7). Let n(s) = s**3 - s. Let b be n(a). Suppose 5*o + 1158 - 3643 = b. Is o a prime number?", "a": "False" }, { "q": "Let h(n) = 2*n**2 - 10*n + 9. Let b be h(5). Suppose 20630 = f + b*f. Is f a composite number?", "a": "False" }, { "q": "Let k = 31 - 55. Let x = k + 1267. Is x a composite number?", "a": "True" }, { "q": "Is -48284*(3 + 24/64*-10) composite?", "a": "True" }, { "q": "Let p(m) = -m**3 - 3*m**2 + m + 865. Let c = 169 + -169. Is p(c) prime?", "a": "False" }, { "q": "Suppose -6*v - 29934 = 3*v. Let x = v + 5941. Is x composite?", "a": "True" }, { "q": "Let t = -61 - -62. Let b(c) = 953*c + 4. Let k(p) = -954*p - 5. Let o(j) = 3*b(j) + 2*k(j). Is o(t) composite?", "a": "False" }, { "q": "Let u(q) = 10*q**2 + 2*q - 21. Let a be 2 - 18/10 - 26/5. Is u(a) prime?", "a": "False" }, { "q": "Let d(h) = 120*h**2 + 5*h - 6. Let c be d(5). Suppose -609 = 5*j - c. Let g = -225 + j. Is g a prime number?", "a": "True" }, { "q": "Let c = 9622 - -2701. Is c a prime number?", "a": "True" }, { "q": "Suppose 2*v = 3*k - 526801, 0 = 4*v - 4. Is k a prime number?", "a": "True" }, { "q": "Let v = 3308 - 797. Suppose 3*b - v = -u, 2*b - 1089 - 584 = -u. Let w = b - 297. Is w a prime number?", "a": "True" }, { "q": "Is (2113540/40)/11*(-3)/((-6)/4) a prime number?", "a": "False" }, { "q": "Suppose 4*b + 4*k = 212, 4*b = -2*k - 35 + 237. Suppose 6 = -2*n + b. Is (1401/(-9))/((-7)/n) a prime number?", "a": "True" }, { "q": "Suppose 17*t = 7*t - 5720. Is (-163*2/(-8))/((-11)/t) a prime number?", "a": "False" }, { "q": "Let z = 1 + 2. Suppose 0 = z*k - 4*k. Suppose k*h - 8*h = -1912. Is h prime?", "a": "True" }, { "q": "Is (-1005750 + -2 + -3)*(-3)/15 prime?", "a": "True" }, { "q": "Let u be (-12 - (-9076)/8)*(-12)/(-5). Suppose -2*m + 1510 = -232. Let y = u - m. Is y composite?", "a": "False" }, { "q": "Let b(c) be the second derivative of -11*c**2 + 12*c + 1/12*c**4 + 0 + 11/6*c**3. Is b(-16) a prime number?", "a": "False" }, { "q": "Let u(x) = x**2 - 6*x + 1. Let f be u(8). Let n = f + -19. Is 1/(7/n) + 7041/21 a composite number?", "a": "True" }, { "q": "Suppose -7*o + 5945 = -2*o. Let l = -1870 + o. Is (-2 + -2)*-1 - l prime?", "a": "False" }, { "q": "Suppose c - 191658 = -3*o, 7*o - 4*c + 63875 = 8*o. Is o prime?", "a": "False" }, { "q": "Let l(a) = -a**3 + 2*a**2 + 3*a + 2. Let t be l(-1). Suppose -2*b - t*b + 1324 = 0. Is b a prime number?", "a": "True" }, { "q": "Let v(b) = 10*b + 24*b**2 - 39*b**2 + 3*b**3 - 1 - 6*b**3. Is v(-7) prime?", "a": "True" }, { "q": "Let j = 54 + -49. Let q(t) = 1031*t - 8. Is q(j) a composite number?", "a": "False" }, { "q": "Is ((-66)/6 - -16)*31477 prime?", "a": "False" }, { "q": "Is (-4)/(-1) + -6 - (-62343)/3 prime?", "a": "False" }, { "q": "Suppose -208782 = -1783*d + 1765*d. Is d composite?", "a": "True" }, { "q": "Suppose -15*u + 15 = -12*u. Suppose 4*z - 6110 = -2*l, l - u*z - 3040 = -2*z. Is l a prime number?", "a": "True" }, { "q": "Let s = -19 - -17. Let y be ((0/1)/(-1))/s. Suppose y = v + 2*p - 5, -2*p = -4*v + p + 9. Is v a prime number?", "a": "True" }, { "q": "Suppose -4*s + 17438 = -1694. Is s composite?", "a": "False" }, { "q": "Suppose 0 = -4*v - 3*x + 4107 + 5936, 15 = -5*x. Is v prime?", "a": "False" }, { "q": "Let a(m) = 14907*m - 379. Is a(3) composite?", "a": "True" }, { "q": "Let x(b) = b**3 - 24*b**2 + 20*b + 61. Let a be x(23). Let s(r) = 2*r**2 + 8*r + 57. Is s(a) a composite number?", "a": "True" }, { "q": "Let g(o) be the third derivative of o**4/24 + 3*o**3 - 6*o**2. Let i be g(-13). Suppose 2*a - 1343 = -3*f, -2014 = a - 4*a - i*f. Is a a composite number?", "a": "False" }, { "q": "Let h = 125 + -122. Suppose x + 466 = -h*p + 4135, x + 4*p = 3669. Is x composite?", "a": "True" }, { "q": "Let h(b) = -b**3 - 12*b**2 - 2. Let y be h(-12). Let d be ((-2454)/y - 2) + 2. Is ((-1)/(-9) - (-2)/9)*d a composite number?", "a": "False" }, { "q": "Let a = -200 - -212. Is 537/a*(-2 - -6) composite?", "a": "False" }, { "q": "Let c be ((-45)/(-60))/((-6)/(-32)). Suppose -c*w - 4*s + 27808 = 0, -2*w + 13319 + 570 = -s. Is w prime?", "a": "True" }, { "q": "Let p(h) = h**3 + 6*h**2 - 15*h + 8. Let y be p(-8). Suppose j - 5*l = -0*l + 13690, y = 3*j + 3*l - 41124. Is j prime?", "a": "False" }, { "q": "Let i(g) = -32 + 2*g + 11 + 12. Let f be i(-2). Is (-1114)/(-2)*(-12 - f) prime?", "a": "True" }, { "q": "Suppose -799457 = -9*p - 182786. Let g = p - 45972. Is g a prime number?", "a": "False" }, { "q": "Suppose -w + 79150 = 3*s - 25465, 0 = 2*s - 5*w - 69732. Is s prime?", "a": "True" }, { "q": "Suppose 29*y - 1980 = 9*y. Suppose -y*k + 104*k = 12455. Is k prime?", "a": "False" }, { "q": "Suppose 0 = -8*r - 4*q + 1800708, -3*q + 740513 = 2*r + 290330. Is r a prime number?", "a": "False" }, { "q": "Let c = -1430 + 2454. Let i = c + 899. Is i composite?", "a": "True" }, { "q": "Suppose 93*s - 6251 - 44576 = 8135. Is s composite?", "a": "True" }, { "q": "Let b be 3/(-3) + ((-402)/2 - 0). Let a = b + 315. Is a a composite number?", "a": "False" }, { "q": "Suppose -2*n = 2*s - 352 - 35726, -2*n = -3*s - 36088. Is n prime?", "a": "True" }, { "q": "Let z = 13254 + -9218. Let p = z - 2379. Is p a composite number?", "a": "False" }, { "q": "Is 6/(27984/(-126171) - (-28)/126) a composite number?", "a": "True" }, { "q": "Suppose -2*n + 6*p = 4*p - 193212, -n - 4*p = -96631. Is n a composite number?", "a": "True" }, { "q": "Let y = -35252 - 119168. Is 2/(-6 + y/(-25735)) a prime number?", "a": "True" }, { "q": "Suppose 99*j - 5610 = 93*j. Let a = j - 273. Is a a prime number?", "a": "False" }, { "q": "Let f(u) = 2*u**3 - 13*u**2 + 7*u + 11. Suppose -3*t + 7*t = 188. Let m = t - 38. Is f(m) a prime number?", "a": "True" }, { "q": "Let c(h) = -h**3 + 32*h + 36*h**2 - 24 + 48 + 17. Is c(36) composite?", "a": "False" }, { "q": "Suppose 6*g - 8 = 4*g, -k = 3*g - 16. Suppose -k*a = -779 - 449. Is a a prime number?", "a": "True" }, { "q": "Let b(m) = -m**3 + 18*m**2 + 25*m + 21. Let w be b(20). Let p = w - -698. Is p a composite number?", "a": "False" }, { "q": "Let o be ((-3)/(-2))/(315/(-210)). Let d(m) = -2 - 295*m - 2 + 2. Is d(o) a prime number?", "a": "True" }, { "q": "Let b be (30/(-18) - -1) + (-16)/(-6). Is 3013 + (-5 - (3 - b)) a composite number?", "a": "True" }, { "q": "Suppose 7*o = 27*o - 1049780. Is o a composite number?", "a": "False" }, { "q": "Let c(m) = 0*m**2 - 6 + 69*m + 1 - 61*m + 2*m**2. Let z be c(-6). Let s(u) = 3*u + 28. Is s(z) a composite number?", "a": "True" }, { "q": "Let o = 44 - 42. Suppose -r = -o*r + 3. Suppose -4*f - 247 = -5*q, -r*f - 150 = -q - 2*q. Is q a composite number?", "a": "False" }, { "q": "Let s(d) = 14220*d + 1007. Is s(7) prime?", "a": "True" }, { "q": "Let l be 123/39 + 26/(-169). Suppose -l*s - 11*s = -10346. Is s a prime number?", "a": "True" }, { "q": "Suppose 2*s - 141728 = -2*i, 4*i - 83752 = 5*s - 438099. Is 12/(-5) + 2 + s/5 a composite number?", "a": "False" }, { "q": "Let c(q) = -q**2 + 2*q + 49. Let k be c(7). Suppose k*u = 1457 + 1539. Is u prime?", "a": "False" }, { "q": "Let v(f) = f**3 + 10*f**2 - 14*f - 30. Let d be 35/(-3) + 15/9 + -2. Let s be v(d). Let m = s + 277. Is m composite?", "a": "False" }, { "q": "Let u(r) = -9*r**3 - 16*r**2 - 47*r + 5. Let g be u(-7). Suppose k = 2*t - g, 3 = 4*k - 1. Is t a prime number?", "a": "True" }, { "q": "Is (0 - 2) + (-92994)/(-3) + (-90)/(-18) prime?", "a": "False" }, { "q": "Let s(q) = -6*q - 20. Let a be s(-6). Let p = a - -15. Let h = p - 0. Is h prime?", "a": "True" }, { "q": "Suppose -4*n = -10*n - 12318. Suppose 5*o + 6275 = -2*h, -5*h = -4*h + 5*o + 3135. Let c = n - h. Is c composite?", "a": "False" }, { "q": "Let z = -297007 - -426848. Is z a composite number?", "a": "False" }, { "q": "Suppose -2*s = s + 18606. Let b = -3323 - s. Is b composite?", "a": "False" }, { "q": "Let f be (11 - 13)/(2/11555 + 0). Let c = f - -19272. Is c a prime number?", "a": "True" }, { "q": "Let d(l) = 3*l**3 + 13*l**2 - 19*l - 57. Let s(n) = 4*n**3 + 19*n**2 - 28*n - 86. Let z(u) = -7*d(u) + 5*s(u). Is z(-7) a composite number?", "a": "False" }, { "q": "Suppose -3*v + 334 = 7*x - 22934, 5*x - 38800 = -5*v. Is v a composite number?", "a": "True" }, { "q": "Let u = 35 - 29. Suppose d - 3130 = u*d. Let x = d + 1333. Is x a composite number?", "a": "True" }, { "q": "Suppose -2*c - 4*p - 19 + 7 = 0, 4*c + 5*p = -27. Let r(t) = 263*t + 11. Let q(m) = m. Let k(l) = 5*q(l) - r(l). Is k(c) prime?", "a": "True" }, { "q": "Suppose -13*q = -21245 - 61344. Is q prime?", "a": "True" }, { "q": "Let s(c) = c**3 + 25*c**2 - 25*c + 25. Let h be s(-26). Is 2679 - 36/45*(-6 - h) a composite number?", "a": "False" }, { "q": "Suppose 0*x - x = -5. Suppose 2*a - 4 = 5*k, k = 3*k - x*a + 10. Suppose -2*y + 4*c = -k*y - 422, -4*y + 2*c + 844 = 0. Is y composite?", "a": "False" }, { "q": "Suppose 145*b - 16 = 141*b. Suppose 0 = -0*k - k - 5*n + 660, -4*n = -b*k + 2760. Is k a composite number?", "a": "True" }, { "q": "Let a(j) = 2*j - 35. Let r be a(20). Suppose 0 = r*b - 3*h - 27089, 3*b + 5*h = 2*h + 16263. Suppose -4*z = 3*u - b, z = -2*u + 1821 + 1785. Is u prime?", "a": "True" }, { "q": "Let y(t) = 5*t + 4*t**2 + 7*t + 4*t**3 - 15*t - 5*t**3. Let r be y(2). Suppose 3*a - 300 = -5*k, 2*k + r*a - 124 = -0*a. Is k composite?", "a": "True" }, { "q": "Let p = 34167 - 16609. Is p a composite number?", "a": "True" }, { "q": "Is (10 - (-7261955)/(-20))/((-9)/12) composite?", "a": "False" }, { "q": "Let o = 3288 + -930. Let s = -1559 + o. Is s prime?", "a": "False" }, { "q": "Suppose -26 = -4*u - 10. Suppose -l + u*m = -358 - 1493, 0 = l + 2*m - 1845. Is l a composite number?", "a": "False" }, { "q": "Is (-107418)/(-3 + (13 - 12)) composite?", "a": "True" }, { "q": "Let s(j) = j**2 + 5*j - 4. Let y be s(1). Suppose 2*f - 5*f - c + 6482 = 0, 3*f + y*c - 6487 = 0. Is f a prime number?", "a": "False" }, { "q": "Is 12/30 - 17/((-765)/2385747) composite?", "a": "False" }, { "q": "Suppose -2084997 + 273801 = -18*f. Is f prime?", "a": "False" }, { "q": "Let f be (-2*(-4)/(-12))/((-1)/3). Let c be (1 + -1)*(2 - 1). Suppose 3*d = -c*d - 5*l + 1186, -4*d - f*l = -1586. Is d a composite number?", "a": "False" }, { "q": "Suppose -j - 3 - 2 = 2*u, 4*j + 4*u + 20 = 0. Let b(c) be the third derivative of -c**6/30 + c**5/60 + c**4/3 - 2*c**3/3 + 2*c**2. Is b(j) prime?", "a": "False" }, { "q": "Suppose 0 = -5*x - 3*i + 21604, 74*i = 75*i + 2. Is x a prime number?", "a": "False" }, { "q": "Suppose -5*b = -6*b + 3*p + 336356, -3*p = 2*b - 672703. Is b prime?", "a": "True" }, { "q": "Let y = -6977 - -12360. Is y composite?", "a": "True" }, { "q": "Suppose -106*u + 107*u = 266. Suppose 264*r + 45514 = u*r. Is r a prime number?", "a": "False" }, { "q": "Let u(o) = -5825*o - 1683. Is u(-20) a prime number?", "a": "False" }, { "q": "Let g = 171 + -165. Let x(k) = -k**2 - 7*k + 2. Let f be x(-7). Is (3 + (-299)/f)/((-3)/g) prime?", "a": "True" }, { "q": "Let f = -20 - -28. Let l be f/(-36) + 1474/(-9). Let v = l + 275. Is v prime?", "a": "False" }, { "q": "Let h(n) = -2*n - 1. Let x be h(-3). Suppose x*w - 14581 = -f, 4*f - 54145 - 4209 = -5*w. Is f composite?", "a": "False" }, { "q": "Let c be (1 + -2)/(1/(-5)). Suppose c*u + 71 = 16. Let h(o) = -o**2 - 28*o - 10. Is h(u) a composite number?", "a": "True" }, { "q": "Suppose 161*p + 1948891 = 2443751 + 5952063. Is p composite?", "a": "True" }, { "q": "Suppose 0 = -4*j + 3*v - 7, 3 + 12 = 3*v. Suppose 0*f + j*f - 6 = 0. Suppose f*t - 1989 = 762. Is t a composite number?", "a": "True" }, { "q": "Is (-1310522)/(7/1 - (-54)/(-6)) prime?", "a": "True" }, { "q": "Is ((180/8)/5)/9 - 282426/(-4) a prime number?", "a": "True" }, { "q": "Suppose 0 = -4*w - j + 56974, -3*w + 3*j = 8894 - 51617. Is w a composite number?", "a": "False" }, { "q": "Let w = -39538 + 27989. Let s = -5568 - w. Is s a prime number?", "a": "True" }, { "q": "Is (24 + -13 - -1626)/1 a composite number?", "a": "False" }, { "q": "Let u(r) = 2105*r**2 + 80*r - 886. Is u(11) composite?", "a": "False" }, { "q": "Suppose 347*p = 339*p + 101512. Is p a composite number?", "a": "False" }, { "q": "Let y = 4473 - -29768. Is y composite?", "a": "True" }, { "q": "Let a(u) = -2*u**3 + 150*u**2 - 189*u + 161. Is a(72) composite?", "a": "False" }, { "q": "Let x(p) be the first derivative of 33*p**2/2 - p + 11. Let y be x(15). Suppose 2*k = -128 + y. Is k prime?", "a": "False" }, { "q": "Let s be (-12)/(-9) + (-5 - 20/(-3)). Is (4/s + (-17403)/18)*-2 a composite number?", "a": "False" }, { "q": "Suppose -i = -2*u + 4*u - 38333, 153387 = 4*i - 3*u. Is i prime?", "a": "False" }, { "q": "Let n(m) = m**3 + 8*m**2 + 7*m - 12. Let h be n(-6). Let x = h + -13. Suppose -x*u + 0*u = -55. Is u composite?", "a": "False" }, { "q": "Let u(d) = -d**2 + 18*d - 13. Let g be u(17). Suppose -198 = g*y + 82. Let x = y - -117. Is x a composite number?", "a": "False" }, { "q": "Let k = -1043 - -46. Let b = 3096 + k. Is b prime?", "a": "True" }, { "q": "Let q = 99273 + 155246. Is q a prime number?", "a": "True" }, { "q": "Let d = -27681 + 68024. Is d prime?", "a": "True" }, { "q": "Suppose 111744 = 13*y - y. Suppose 13*m - 21485 = y. Is m a prime number?", "a": "False" }, { "q": "Suppose 41*j - 10*j - 1881794 = -42*j. Is j a prime number?", "a": "False" }, { "q": "Let h(p) = 8*p - 79. Let t be h(26). Suppose 3*o = 5*l + 176, -5*o + 3*o + l = -t. Is o a prime number?", "a": "True" }, { "q": "Suppose 1678121 = -87*n + 11489024. Is n composite?", "a": "True" }, { "q": "Let s = -4653 - -10982. Is s a composite number?", "a": "False" }, { "q": "Let t = -35 - -28. Let z be 28/t - -144*1. Suppose z = 3*g - 577. Is g a prime number?", "a": "True" }, { "q": "Suppose -5*d - g + 45 + 99 = 0, -5*g + 20 = 0. Suppose -d*k = -31*k - 6. Let m(n) = 60*n**2 - 5*n - 1. Is m(k) composite?", "a": "True" }, { "q": "Suppose 21*y = 17*y - 3*p + 25868, -4*p = 2*y - 12934. Is y prime?", "a": "False" }, { "q": "Let t = 45996 + -13799. Is t composite?", "a": "True" }, { "q": "Suppose -45 = 13*h + 85. Let i = 5 + -9. Is (i - (-60)/(-8))/(1/h) composite?", "a": "True" }, { "q": "Suppose -204*s = -201*s - 14277. Is s composite?", "a": "False" }, { "q": "Suppose 3*h = -3*c + 2350 + 5015, 0 = c + 2*h - 2451. Is c a composite number?", "a": "False" }, { "q": "Suppose 0 = 15*x - 6*x - 113799 - 33180. Is x a composite number?", "a": "True" }, { "q": "Suppose 23*k = 14*k. Suppose 13 - 5 = -3*q + 5*i, 4*q - 4*i = 0. Suppose -f = 3*g - 21, q*f - 4*g - 120 - 28 = k. Is f a composite number?", "a": "True" }, { "q": "Suppose 5*a + 80*k = 82*k + 147995, 4*k = -5*a + 147995. Is a composite?", "a": "False" }, { "q": "Let o = 3151 - 1043. Suppose 4*p = -3*u + 3369 + o, 0 = -5*p - 2*u + 6855. Is p a composite number?", "a": "False" }, { "q": "Suppose -5*x - 35 = -3*i - 2*i, -10 = -i + 2*x. Suppose -4*u + 997 = g, 5051 = g + i*g - 2*u. Suppose -4*p - g = -5613. Is p a composite number?", "a": "False" }, { "q": "Let l be 10/(-85) + (96/(-51) - -4). Suppose l*i = -3*f + 1091, -5*i - 3*f = -675 - 2039. Is i prime?", "a": "True" }, { "q": "Let b be (-130)/(-4) + 6/4. Suppose -4*t + b = 10. Is (8 - t)*(-1642)/(-4) a composite number?", "a": "False" }, { "q": "Let y(v) = -2791*v - 189. Is y(-13) composite?", "a": "True" }, { "q": "Suppose 0 = -9*p + 14*p, 0 = -2*l + p + 68281 + 29613. Is l a composite number?", "a": "False" }, { "q": "Let w(x) = -420*x - 7. Let a(b) = 1260*b + 22. Let h(p) = -6*a(p) - 17*w(p). Is h(-15) prime?", "a": "True" }, { "q": "Let b be -280 + 1 - (-192)/(-32). Let m = b + 1908. Is m prime?", "a": "False" }, { "q": "Suppose 2 = k - 5*v + 19, -22 = 5*k - 4*v. Is k - 7*3*(-28)/21 a composite number?", "a": "True" }, { "q": "Suppose -2*m + 4138 = 2*j, -2 = 2*j - j. Let t(s) = 173*s**2 - s - 2. Let n be t(2). Suppose -x = -3*k + m, 5*k + 4*x - 2775 = n. Is k prime?", "a": "True" }, { "q": "Let g = -81394 + 231625. Is g a composite number?", "a": "True" }, { "q": "Let d = -70405 + 126924. Is d composite?", "a": "False" }, { "q": "Suppose 126 = 3*j + 4*j. Is j + -14 + (-4138)/(-2) a prime number?", "a": "False" }, { "q": "Suppose -12 = -4*n + 16. Suppose -n*j + 1772 + 1581 = 0. Is j a prime number?", "a": "True" }, { "q": "Is ((-77032)/(-32))/((-11)/(-308)) a composite number?", "a": "True" }, { "q": "Let b(d) = d**3 - 5*d**2 - 3*d - 8. Suppose -65 = -5*x + 4*f, 0 = 5*x + 2*f + 17 - 52. Is b(x) a prime number?", "a": "False" }, { "q": "Let p(f) = -8153*f + 1844. Is p(-45) composite?", "a": "False" }, { "q": "Suppose -1388774 = -96*m - 68870. Is m a composite number?", "a": "True" }, { "q": "Suppose -d - 2 = -x + d, -4*d = -16. Let q(m) = 19*m**2 + 5*m - 11. Is q(x) prime?", "a": "False" }, { "q": "Let k(q) = 3*q**2 + 7*q + 15. Let o(r) = 14*r**3 + 2*r**2 - r - 1. Let z be o(1). Is k(z) prime?", "a": "True" }, { "q": "Let d be (-4)/(-46) + (-1776880)/(-92). Suppose 0 = 2*l - 3*a - 1044 - 18273, 2*l - 4*a = d. Is l composite?", "a": "True" }, { "q": "Let s be (2/4)/((-35)/(-146860)). Suppose 4*f - 1842 = s. Is f a prime number?", "a": "False" }, { "q": "Let f = -168 + 176. Suppose -23*s + 10515 = -f*s. Is s prime?", "a": "True" }, { "q": "Let q(h) = 752*h - 661. Is q(7) composite?", "a": "False" }, { "q": "Let y = 3241 + 19668. Is y composite?", "a": "True" }, { "q": "Let x(r) = 542*r - 363. Let c(h) = -135*h + 91. Let m(l) = -9*c(l) - 2*x(l). Is m(8) prime?", "a": "False" }, { "q": "Suppose -2*k - 60 = -4*b - 30262, -2*k - 2*b = -30184. Suppose 4*g + 9057 = 3*o + 5*g, -5*o + k = 4*g. Is o a prime number?", "a": "True" }, { "q": "Let s = 233 + -170. Suppose 66*c = s*c + 7845. Is c a composite number?", "a": "True" }, { "q": "Suppose 3*r = 4*k - 1908, -r + 12 = 2*r. Let a = k + 1313. Is a composite?", "a": "True" }, { "q": "Let k be 8974/3 - (35/15 + -3). Suppose -5*f = -k - 178. Suppose -3*d - 794 = -5*m, 3*d - d + f = 4*m. Is m a composite number?", "a": "False" }, { "q": "Is (-1 - 0)*-3 + (-352640)/(-64) a prime number?", "a": "False" }, { "q": "Is (-9 - 135955/(-10))/(-3 - 14/(-4)) a prime number?", "a": "False" }, { "q": "Suppose -2*k - 5*d + d = -40, -79 = -5*k - 3*d. Suppose -7*l - k = -5*l. Is (-2337)/(-21) - (-2)/l a prime number?", "a": "False" }, { "q": "Suppose 7663 + 14650 = 4*d + 5*w, 2*w = 10. Let x = 5894 + d. Is x/72 - ((-1)/(-4) - 0) a composite number?", "a": "True" }, { "q": "Suppose 26929 + 4831 = 2*w - 3*x, 0 = 3*w + 4*x - 47674. Let j = w - 8885. Is j a composite number?", "a": "False" }, { "q": "Let h(p) = p**3 + p + 791. Suppose 158*k = 153*k. Is h(k) a prime number?", "a": "False" }, { "q": "Suppose -108366 - 665749 = -5*y. Is y composite?", "a": "False" }, { "q": "Is (-8)/(-12) + 9 + 248068/3 a composite number?", "a": "False" }, { "q": "Suppose m = -2*y + 31, 5 = -3*m - 4. Let p(z) = z**3 - 18*z**2 + 44*z + 20. Is p(y) composite?", "a": "False" }, { "q": "Suppose 187*f - 4194583 = 4007642 + 6329732. Is f a composite number?", "a": "False" }, { "q": "Let i = -215 - -216. Is (-30195)/(-11) - (i - 2/(-2)) composite?", "a": "True" }, { "q": "Suppose 11148 = 4*c + 2*v, 5*c - 2*v - 9910 - 4025 = 0. Is c composite?", "a": "True" }, { "q": "Suppose -3*i - r + 17 = 0, -4*i - r + 30 - 8 = 0. Suppose -5*p + 12 - 2 = 0. Suppose 377 = p*j - 8*z + 3*z, 0 = -i*j - 4*z + 893. Is j a composite number?", "a": "False" }, { "q": "Suppose 4*p - 12 = 0, 15 = q - 4*p + 7*p. Let z(m) = 37*m**2 - 12*m + 17. Is z(q) prime?", "a": "True" }, { "q": "Suppose a + 5*q = 55497, 0 = 2*a - q - 148505 + 37533. Is a a composite number?", "a": "False" }, { "q": "Let c(v) = 20*v**2 - 26*v - 20. Let o be c(-11). Suppose 1752 + o = 7*r. Is r prime?", "a": "False" }, { "q": "Let q(w) = -4116*w + 19. Let a be q(-2). Suppose 4*p + p + 2*i = a, -p + 5*i = -1634. Is p composite?", "a": "True" }, { "q": "Let h(c) = 17*c**2 + c - 1. Let d be h(1). Suppose 3*w + 10 = 2*w - 4*x, -3*x - d = -4*w. Suppose 272 = -w*s + 1614. Is s composite?", "a": "True" }, { "q": "Let u(d) = -d**3 - 7*d**2 - 15. Let w be u(-7). Let k(p) = 11*p**2 + 13*p + 53. Is k(w) prime?", "a": "True" }, { "q": "Let x = 58 + -43. Suppose 0*l = l - x. Is ((-2930)/l)/((-6)/27*3) composite?", "a": "False" }, { "q": "Let o(p) be the first derivative of 52*p**3/3 + 6*p**2 + 47*p - 43. Is o(-6) composite?", "a": "False" }, { "q": "Let j be (4 - (5 + (-2 - 0)))*-2463. Let u = -1328 - j. Is u a prime number?", "a": "False" }, { "q": "Let r(p) = 826*p**2 - 14*p + 89. Is r(7) composite?", "a": "True" }, { "q": "Let f = 67050 + -44549. Is f a composite number?", "a": "False" }, { "q": "Let y(j) = 26*j**2 - 8*j - 9. Let x(r) = r**2 - 8*r + 6. Let o be x(8). Let g be 1*o/9*9. Is y(g) composite?", "a": "True" }, { "q": "Let a = -15503 - -27870. Is a a prime number?", "a": "False" }, { "q": "Let d be (-164)/36 - (-8)/(-18). Let w(p) = 29*p**2 + 5*p - 27. Is w(d) prime?", "a": "True" }, { "q": "Suppose 13*m - 25949 = 6*m. Let r = m - -7892. Is r a composite number?", "a": "True" }, { "q": "Let j(m) = -m**3 + 19*m**2 + 48*m - 115. Let z be j(21). Let x(s) = -12 + 51*s + 7*s - 11*s. Is x(z) a prime number?", "a": "False" }, { "q": "Let v(c) = 47*c**2 + 17*c + 7. Is v(9) a composite number?", "a": "False" }, { "q": "Suppose 0 = -2*r + 14*r - 144. Suppose 0 = -4*b + 5*v + 351, -17*b - 3*v + 448 = -r*b. Is b composite?", "a": "False" }, { "q": "Let v = -21827 + 30984. Is v composite?", "a": "False" }, { "q": "Is (34453/2)/(-7 - (-180)/24) prime?", "a": "False" }, { "q": "Is (-18)/(-81) - 13030457/(-99) composite?", "a": "True" }, { "q": "Suppose 2*r = 5*p + 1901 - 537, 2*p = -5*r + 3468. Let f = r - 421. Is f composite?", "a": "False" }, { "q": "Suppose 0 = 4*j - 36 - 12. Suppose 11*g - j*g + 142 = 0. Is (-20)/(-16)*2*g a composite number?", "a": "True" }, { "q": "Suppose -35*b + 33*b = -36*b + 836638. Is b a prime number?", "a": "False" }, { "q": "Let v(s) = 2*s + 24. Let y be v(-11). Suppose 95 = y*w - 579. Is w a composite number?", "a": "False" }, { "q": "Suppose -54620 = -n - 4*n. Suppose -5*h - 5472 = -2*d, -5*d + 5*h + n = -d. Suppose -654 = 8*k - d. Is k composite?", "a": "True" }, { "q": "Let k(w) = 5*w - 8. Let y be k(2). Let a be ((-8)/(-22))/y + (-1272)/(-264). Suppose o = -5*r + 2*r + 85, -4*o - a*r = -340. Is o a composite number?", "a": "True" }, { "q": "Suppose 0*p - 26 = -5*l - 4*p, -2*l + 3*p = 8. Suppose -k - l*k = b - 301, -5*b = 3*k - 1529. Let y = 518 - b. Is y composite?", "a": "False" }, { "q": "Let v(r) = 3*r**2 - 2*r - 8. Let u(h) = -h**3 - h**2 - 1. Let y(i) = -u(i) - v(i). Let g be y(0). Let k(c) = 7*c**2 - c - 20. Is k(g) composite?", "a": "True" }, { "q": "Let l be ((-9)/(-2) - 2)*48/40. Suppose 0 = l*j - 5*r - 1585, 4*r + r = -3*j + 1565. Suppose -3*s + 108 = -j. Is s prime?", "a": "True" }, { "q": "Let f(u) = -6*u**2 + u + 2. Let j = 20 - 21. Let z be f(j). Is (-5)/((-100)/29548) - (-2)/z prime?", "a": "False" }, { "q": "Suppose 47*b - 27*b + 351 = 29*b. Is b a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*f + 5968 - 23138. Suppose f = -107*k + 109*k. Is k a prime number?", "a": "False" }, { "q": "Suppose -2*j - 36443 = -3*a, 0 = -4*a + a - 2*j + 36463. Let m = -4808 + a. Is m a composite number?", "a": "True" }, { "q": "Let f be 1/1 + -1 + 4. Suppose 13656 = 4*x - 4*z, 0 = f*x - 6*z + 5*z - 13659. Is x composite?", "a": "True" }, { "q": "Suppose 440565 = 16*k - 754043. Is k a composite number?", "a": "True" }, { "q": "Let k(d) = 3968*d**2 - 27*d - 55. Is k(-2) a prime number?", "a": "False" }, { "q": "Let b(d) = 2*d**2 - 7*d + 4. Let u be b(4). Let n = -126 + 131. Suppose -531 = n*j - u*j. Is j composite?", "a": "True" }, { "q": "Let j be 1/1 - -3988 - -4. Let q = j - 663. Is q/42 + (-4)/14 a composite number?", "a": "False" }, { "q": "Suppose 11 = w - n - 246, n = -4*w + 1023. Let i be (3/(-2))/(33/110). Let o = w + i. Is o a composite number?", "a": "False" }, { "q": "Suppose 0 = 36*y - 11*y + 5*y - 5959110. Is y a prime number?", "a": "True" }, { "q": "Suppose 3*v + 1 = 4. Let g be (v - -4) + (-6 - -4). Suppose -2*o = 2*s - 750, -16 = -g*s - 4. Is o prime?", "a": "False" }, { "q": "Suppose 4*y + 3*a - 440074 = 0, 0 = 9*y - 8*y - 3*a - 110011. Is y composite?", "a": "False" }, { "q": "Suppose -5*i + 4*i = -65. Suppose 9*r - i = -2. Is (-11)/3*(r - 10) composite?", "a": "False" }, { "q": "Let m = -51 - -49. Is (m/4)/((-5)/20530) prime?", "a": "True" }, { "q": "Let j(r) = -6 - 2 - 5*r + 0*r - 2*r. Let y be j(-9). Suppose 0*d - d = -y. Is d composite?", "a": "True" }, { "q": "Let i(p) be the first derivative of -7*p**4/4 + 16*p**3/3 + 9*p**2/2 - 7*p - 56. Is i(-6) a prime number?", "a": "True" }, { "q": "Let b(a) = 1 - 205*a**2 + 204*a**2 + 4*a - 5. Let w be b(3). Let s(u) = -363*u - 2. Is s(w) prime?", "a": "False" }, { "q": "Let q = 18050 + -9643. Is q prime?", "a": "False" }, { "q": "Suppose -4*h = -2*h - 418. Suppose -h = -2*b + 1633. Is b composite?", "a": "True" }, { "q": "Let q = -9313 - -5456. Let p = -1599 - q. Is p a composite number?", "a": "True" }, { "q": "Suppose 7*r - 3*r = -r. Suppose -5*j - 4*b - b = -3780, 5*j - 2*b - 3815 = r. Let s = 1282 - j. Is s prime?", "a": "True" }, { "q": "Suppose 16*t - 167407 = 13*t + 242054. Is t composite?", "a": "True" }, { "q": "Suppose 2*m + 13077 + 12424 = o, -50997 = -2*o + 5*m. Is o a composite number?", "a": "True" }, { "q": "Let v = 266460 + -127081. Is v composite?", "a": "True" }, { "q": "Let l = 3562 - 2506. Suppose 7*s + l = 9*s. Let t = s + -109. Is t prime?", "a": "True" }, { "q": "Let d(m) be the first derivative of -m**4/4 - m**3/3 - m**2/2 + 99*m + 7. Let x be d(0). Suppose -62 - x = -v. Is v a prime number?", "a": "False" }, { "q": "Suppose 5*i + 100*l = 102*l + 54079, -l + 10820 = i. Is i composite?", "a": "True" }, { "q": "Let m(d) = 739*d**3. Let x be ((-4)/(-8))/(3/6). Is m(x) a prime number?", "a": "True" }, { "q": "Is (-1 + (-27)/(-15))/((-4)/(-10)) - -167015 composite?", "a": "False" }, { "q": "Let y be (-2)/3 - 830/6. Let h = y + 320. Suppose b - 1174 = -h. Is b prime?", "a": "False" }, { "q": "Let q = 4797 + -8264. Let d = 5004 + q. Is d a prime number?", "a": "False" }, { "q": "Suppose 3*x - 6 = x. Let w be (-22 - -1 - 0)*(-1)/x. Suppose -2*r + w*r - 2783 = -o, -3*r + 1667 = 2*o. Is r a prime number?", "a": "True" }, { "q": "Suppose -221848 = -v - 7*v. Is v a prime number?", "a": "False" }, { "q": "Let g = 36 + -62. Let p = g - -23. Is (p + (-6)/(-3))*-259 a prime number?", "a": "False" }, { "q": "Suppose 4*f - 93 - 99 = 0. Suppose 57 = 5*d - f. Suppose -d = 8*o - 285. Is o a composite number?", "a": "True" }, { "q": "Let p(n) = 857*n**2 - 4*n + 95. Is p(8) composite?", "a": "True" }, { "q": "Suppose 2*l = 5 + 5. Suppose 4*f + l*y - 31684 = 0, -4*f + 5*y = 2*y - 31652. Suppose 4*q = 3*p + 7912, 0*q - f = -4*q + 2*p. Is q a composite number?", "a": "True" }, { "q": "Suppose -3*t - 9*t = 4764. Suppose d = -d. Is d*(-2)/4 - t a prime number?", "a": "True" }, { "q": "Suppose 2*q = -s + 17, 0 = 15*q - 13*q - 4*s - 22. Let n = 1030 + q. Is n prime?", "a": "True" }, { "q": "Let j(h) = -h - 29. Let s be j(14). Is s*(6 - 32) + 1 composite?", "a": "True" }, { "q": "Let u(c) = 14*c - 25. Let n(q) = 28*q - 51. Let g = -10 - -19. Let t(b) = g*u(b) - 4*n(b). Is t(4) a composite number?", "a": "True" }, { "q": "Suppose 5*i + 9834 = 9*i + 5*b, -5*b - 9854 = -4*i. Suppose -i = -9*a + 59630. Is a prime?", "a": "True" }, { "q": "Let j be ((-9708)/(-30))/((-6)/60). Is j*(9/6 + -2) a composite number?", "a": "True" }, { "q": "Let b = -57738 + 96331. Is b a composite number?", "a": "False" }, { "q": "Let a(x) = -x - 1. Let t = 19 - 18. Let i(o) = 221*o - 2. Let r(h) = t*i(h) + 3*a(h). Is r(3) a prime number?", "a": "False" }, { "q": "Is (64/(-48))/((-16)/203004) a prime number?", "a": "False" }, { "q": "Suppose x - 13*i - 1042 = -8*i, 4*x - 4244 = i. Suppose -7876 = -2*o - 5*s, 18645 = 5*o + 4*s - x. Is o composite?", "a": "False" }, { "q": "Let c(s) = -4*s - 22 + 8 + s**3 + 0*s + 2*s**2 + 2*s**2. Let m be c(-4). Suppose -3*k - m*k = -1570. Is k composite?", "a": "True" }, { "q": "Suppose 15*h + 60 = 20*h. Let s be (1156/(-8))/((-1)/h). Suppose s = -20*o + 26*o. Is o prime?", "a": "False" }, { "q": "Let i = -135430 - -193815. Is i prime?", "a": "False" }, { "q": "Let r(c) = 48 - 7*c - 2*c - 51 - 4*c. Let a be r(-1). Suppose 11*v = a*v + 489. Is v prime?", "a": "False" }, { "q": "Let j = 58854 - 29917. Is j a composite number?", "a": "True" }, { "q": "Suppose 4*k + 8*w = 5*k - 15021, -k - 2*w = -15061. Is k composite?", "a": "False" }, { "q": "Let b(q) = -3 + 17*q - 2*q - 8 + 3. Suppose 3*o + 12 = 7*o. Is b(o) a prime number?", "a": "True" }, { "q": "Suppose 25*t - 1989567 - 2034458 = 0. Is t prime?", "a": "False" }, { "q": "Let t(n) = 55*n**3 - 3*n**2 + 4*n + 5. Let w be t(5). Suppose -w = -4*v - 3*g, -4*v + 2*g = v - 8537. Is v prime?", "a": "False" }, { "q": "Let b be ((-7)/2)/((-9)/(-18)) + 6. Let r(d) be the third derivative of -67*d**6/12 + d**4/12 + d**3/6 + d**2. Is r(b) a composite number?", "a": "True" }, { "q": "Let d(w) = w**3 + 4*w**2 - 11*w + 3. Let n be d(-6). Let a(v) = v - 5. Let k be a(n). Is (1 - (-2)/(-6))/(k/(-2292)) composite?", "a": "False" }, { "q": "Suppose -4*s + 72 = -5*v + 27, 5*s - 15 = -2*v. Suppose s*z = x - 0*z - 921, -3*z = -5*x + 4693. Is x a composite number?", "a": "False" }, { "q": "Let r(d) = -5*d + 1. Let o be r(-1). Suppose o*u + 1 - 49 = 0. Let x(z) = 16*z - 22. Is x(u) composite?", "a": "True" }, { "q": "Let b(q) = 47*q**3 + 5*q**2 - 22*q - 17. Let u(x) = -23*x**3 - 2*x**2 + 10*x + 8. Let s(a) = -6*b(a) - 13*u(a). Is s(3) a prime number?", "a": "False" }, { "q": "Let x(h) = 9*h**3 - 1. Let z be x(1). Let m be 0 - (20/8)/(2/z). Is (67/(-3))/(m/3 + 3) prime?", "a": "True" }, { "q": "Suppose 0 = -5*n + 15, -8*f + 8 = -3*f - 4*n. Suppose f*i - 33 = -5. Suppose 0 = -3*u + i*u - 1676. Is u a prime number?", "a": "True" }, { "q": "Let m(i) = -6*i**3 + 2*i**2 - 3*i + 1. Let t be m(3). Let w be ((-2255)/(-15))/(17/51). Let k = t + w. Is k a prime number?", "a": "False" }, { "q": "Suppose 2*w + 85 = 7*w. Let j = 19 - w. Is (12270/4)/3*1*j prime?", "a": "False" }, { "q": "Is 108/(-36) - ((-1496258)/10 - (-6)/(-30)) prime?", "a": "True" }, { "q": "Let t(z) = 16*z**3 + 11*z**2 - 16*z - 6. Is t(13) composite?", "a": "True" }, { "q": "Suppose 596327 = 93*r - 414982 - 196854. Is r prime?", "a": "False" }, { "q": "Let a = -9787 + 45468. Is a a composite number?", "a": "True" }, { "q": "Suppose 0*o = 11*o + 33. Is (-5 + 7 - 1)*(-5277)/o a composite number?", "a": "False" }, { "q": "Is -8 + 18951 - 4 - 3/(3/5) a prime number?", "a": "False" }, { "q": "Suppose -2*s - 4 = -5*f, -8*s + 11*s + 3*f = 15. Suppose 1810 = s*c - 911. Is c prime?", "a": "True" }, { "q": "Let j(b) = -54*b + 58727. Is j(0) prime?", "a": "True" }, { "q": "Let m(x) = -610*x + 77. Let j(f) = -304*f + 39. Let o(c) = -13*j(c) + 6*m(c). Is o(16) composite?", "a": "True" }, { "q": "Suppose -3104 = -r + x, 0 = 5*r - 5*x + 2*x - 15528. Suppose 9*w - r - 3201 = 0. Is w composite?", "a": "False" }, { "q": "Suppose -5 = -0*l - l. Suppose -l*y + 2009 = -6961. Suppose r = -5*r + y. Is r a prime number?", "a": "False" }, { "q": "Suppose 0*u = -3*u + 3*v + 114, -5*v = 3*u - 130. Suppose 49*s - 19377 = u*s. Is s a prime number?", "a": "True" }, { "q": "Let j(z) = -19*z**2 + 30*z + 1. Let r(i) = 77*i**2 - 119*i - 5. Let t(l) = -9*j(l) - 2*r(l). Is t(14) a prime number?", "a": "False" }, { "q": "Is ((-15)/60)/((-1)/710420) a prime number?", "a": "False" }, { "q": "Suppose 29 = 2*q - 7. Is 5962/q + 1 + 66/(-54) a prime number?", "a": "True" }, { "q": "Let k(z) = 93*z - 22. Let c be k(-3). Let v(i) = -36*i - 3. Let u be v(12). Let g = c - u. Is g a composite number?", "a": "True" }, { "q": "Let i be 9/(-3)*(-4 - (-3 - 0)). Suppose -5*l - 2*u = -21, i = -3*u - 3. Is (887/l)/((-5)/(-25)) a prime number?", "a": "True" }, { "q": "Let j(f) = -f**3 + 25*f**2 + 28*f - 21. Let p be j(26). Suppose -22*n = -p*n + 3573. Is n prime?", "a": "True" }, { "q": "Suppose -n = -3*v + 410393, 432*v = 434*v + 2*n - 273598. Is v a composite number?", "a": "True" }, { "q": "Suppose -40*b + 36*b = -j - 13969, 0 = -3*j - 15. Is b a prime number?", "a": "True" }, { "q": "Suppose -5*b - 35*b = -4637480. Is b prime?", "a": "False" }, { "q": "Suppose 3740 = 3*o - 2*o. Suppose -2626 = -3*u + o. Is u prime?", "a": "False" }, { "q": "Suppose 11*x + 59948 = 12*x - 3*t, 4*t - 4 = 0. Is x prime?", "a": "True" }, { "q": "Let l(c) = 718*c - 4. Let z be l(-5). Let m = -1165 - z. Is m a prime number?", "a": "False" }, { "q": "Suppose -223046 = 42*l - 44*l + 4*q, -2*q = 5*l - 557603. Is l prime?", "a": "True" }, { "q": "Let w(k) = -k**3 + k + 253. Let p(z) be the second derivative of z**5/20 + z**4/2 - 4*z**3/3 - 7*z**2/2 - 17*z. Let x be p(-7). Is w(x) a prime number?", "a": "False" }, { "q": "Let m(j) = -2708*j + 705. Is m(-7) a prime number?", "a": "True" }, { "q": "Suppose -27*t + 1892502 = 273609. Is t a composite number?", "a": "True" }, { "q": "Suppose 0 = 6*o - o + 78630. Let w be (-2)/18*2 + o/(-54). Let g = w - -146. Is g a prime number?", "a": "False" }, { "q": "Suppose 3472960 + 677693 = 13*u. Is u composite?", "a": "True" }, { "q": "Is (-3621)/(-68)*(-5)/(15/(-1076)) composite?", "a": "True" }, { "q": "Is (-14)/(-12) - 342140/(-24) a prime number?", "a": "False" }, { "q": "Is 376578/6 + (-16)/20*-5 a composite number?", "a": "True" }, { "q": "Let o = -126 - -132. Suppose -a = -4*f - 5917, o*a - 2*f + 29519 = 11*a. Is a prime?", "a": "False" }, { "q": "Let v be (589 - (9 + -3))*1. Suppose -255 = -4*s - 2*i + v, -3*s = -4*i - 645. Is s composite?", "a": "False" }, { "q": "Let j(x) = 483*x**3 - 5*x**2 - x + 8. Let l(n) = -967*n**3 + 11*n**2 + 2*n - 18. Let o(t) = -9*j(t) - 4*l(t). Is o(-1) a prime number?", "a": "True" }, { "q": "Suppose -4*j = 4*t - 152, 0 = -t - j - 3*j + 38. Let r = t + -40. Is 2*((-5847)/r)/3 composite?", "a": "False" }, { "q": "Suppose 120*c - 7363937 - 7530583 = 0. Is c composite?", "a": "False" }, { "q": "Suppose -14*k - 5 = -19*k, -l - 3*k + 29902 = 0. Is l prime?", "a": "False" }, { "q": "Let q be ((-12)/10)/(-2*3/15). Suppose -4*f - 17 = q*g - 41, 4*f - 28 = -4*g. Suppose d - 4*w - 201 = -66, -f*w + 149 = d. Is d a composite number?", "a": "True" }, { "q": "Suppose 27*z - 10464 = 11*z. Is (z/(-15))/(28/(-770)) a composite number?", "a": "True" }, { "q": "Let f = -189875 - -465134. Is f prime?", "a": "False" }, { "q": "Let m(s) = 19*s**3 - 4*s**2 - 12*s - 19. Is m(10) prime?", "a": "True" }, { "q": "Let s be 3/12 + (13497/12 - 2). Let t = s - -1396. Let q = t + -928. Is q a composite number?", "a": "True" }, { "q": "Suppose 5*l = p + 2 - 37, 3*p - 35 = 5*l. Let r(w) = -207*w + 28. Let z be r(l). Suppose -4*d + 11*d - z = 0. Is d a composite number?", "a": "False" }, { "q": "Suppose 2*a - 566947 + 1835667 = 42*a. Is a prime?", "a": "False" }, { "q": "Let n = -192 - -524. Suppose -z + n = z + 5*f, -5*f = 4*z - 664. Let s = 389 - z. Is s a composite number?", "a": "False" }, { "q": "Let c(a) = -a**3 - 13*a**2 + 84*a + 19. Is c(-34) a composite number?", "a": "True" }, { "q": "Let v be (1*-998 + 0)*(6 + -9). Is 1 + v + 8 + -4 composite?", "a": "False" }, { "q": "Let u(f) = -91*f - 24. Let m(v) = 90*v + 25. Let p(x) = 5*m(x) + 4*u(x). Let g = 106 + -99. Is p(g) a prime number?", "a": "True" }, { "q": "Let r be (2/(-4))/((-4)/(-8)) - -139. Suppose -3*p - r = -2*c, c + 4*p = 6*c - 345. Is c composite?", "a": "True" }, { "q": "Let c = 896 + -514. Let m = c + 253. Is m a prime number?", "a": "False" }, { "q": "Let o(k) = 5 - 96*k - 60*k + 21. Let u(q) = 2418*q - 403. Let a(n) = -78*o(n) - 5*u(n). Is a(4) a prime number?", "a": "False" }, { "q": "Let a(p) = -127*p + 239. Let y(v) = 63*v - 120. Let g(b) = 4*a(b) + 7*y(b). Is g(-23) composite?", "a": "False" }, { "q": "Suppose -24*f = 24*f - 1616905 + 124825. Is f prime?", "a": "False" }, { "q": "Let h be 16/((19 + -20)*(-1)/4). Suppose -873 = -4*o + o. Suppose -u = -o - h. Is u a composite number?", "a": "True" }, { "q": "Suppose 0 = -p + 4*p - 4692. Let f = p + -53. Is f a prime number?", "a": "True" }, { "q": "Let t = 75283 - 25556. Is t composite?", "a": "False" }, { "q": "Suppose -176*m + 1458101 + 1937657 = 1209486. Is m a composite number?", "a": "True" }, { "q": "Suppose 20*t - 2*t - 3148285 = -17*t. Is t composite?", "a": "True" }, { "q": "Let o(x) be the third derivative of 1/40*x**6 + 0*x + 10*x**2 + 0 + 1/2*x**3 - 1/20*x**5 - 7/24*x**4. Is o(4) prime?", "a": "False" }, { "q": "Let h = 56367 - -4616. Is h a prime number?", "a": "False" }, { "q": "Suppose 7139 - 2511 = -2*i. Let b = i - -5531. Is b prime?", "a": "True" }, { "q": "Let u(h) be the second derivative of 3*h**5/10 + h**4/6 + 2*h**3/3 + 11*h**2/2 + 16*h. Let p be u(-4). Let q = 568 + p. Is q prime?", "a": "True" }, { "q": "Let j(y) = 10554*y**2 - 8795. Let n(m) be the first derivative of m**3/3 - m + 17. Let s(h) = j(h) - 8795*n(h). Is s(-1) composite?", "a": "False" }, { "q": "Let m be (-52 + (-19 - -14))*-1. Suppose -1 = -h + a + 1, -3*a = 2*h + 6. Suppose -3*k = -h*k - m. Is k prime?", "a": "True" }, { "q": "Suppose -10*y + 15*y = 120. Let o be (y/(-42))/(4/(-70)). Suppose -o*v - 147 = -13*v. Is v composite?", "a": "True" }, { "q": "Let g = -26 + 14. Let x be 3 - (4 + -1 + -1) - g. Suppose -2*r - 957 = -x*r. Is r composite?", "a": "True" }, { "q": "Let l(u) be the third derivative of -u**5/60 + u**4/8 + u**3 + 11*u**2. Let c be l(3). Let z(a) = 5*a**2 - 4*a + 11. Is z(c) a prime number?", "a": "True" }, { "q": "Is (-71637)/(-2) + (-345)/(-138) a composite number?", "a": "True" }, { "q": "Suppose 79*n - 19681216 = -6639975. Is n composite?", "a": "False" }, { "q": "Let i(d) = 11616*d**2 + 8*d - 10. Is i(1) a composite number?", "a": "True" }, { "q": "Suppose -2*z - 63850 + 166401 = -5*n, -153846 = -3*z + n. Is z composite?", "a": "False" }, { "q": "Suppose -88953 - 372880 = -19*a. Is a a prime number?", "a": "False" }, { "q": "Is (-55416)/(-28)*((33/2)/3 - 2) a prime number?", "a": "False" }, { "q": "Suppose -5*k + 4 = -2*w - 2*w, -5*w - 5 = 4*k. Suppose c = z - k + 4, -9 = 4*z + 3*c. Is 345 + (z - 20/(-3 + -1)) a prime number?", "a": "True" }, { "q": "Let f(r) = 3*r**2 - 10*r + 4. Suppose 0 = 2*j + 4*b - 5*b - 8, j - b = 5. Suppose 4*s + 33 = -j. Is f(s) composite?", "a": "False" }, { "q": "Let a = -309 - -553. Suppose 243*p = a*p - 7217. Is p composite?", "a": "True" }, { "q": "Let c(n) = n - 261*n**2 + 268*n**2 + 7 + 4*n + 0. Is c(-8) a composite number?", "a": "True" }, { "q": "Let d(c) = c + 7. Let n be d(-2). Let g = n + 0. Suppose 2*z - 585 = -g*u, u - 5*z = 101 + 43. Is u prime?", "a": "False" }, { "q": "Let r be (0 - 10) + 0/3. Let p be -3 + (-2610)/(-27)*(-156)/r. Let j = p + -606. Is j prime?", "a": "False" }, { "q": "Let q = 9 + -11. Let j be (-4)/10 - q/5. Suppose j = 30*m - 31*m + 65. Is m a composite number?", "a": "True" }, { "q": "Let u = 11872 + -6435. Is u a prime number?", "a": "True" }, { "q": "Suppose 41034 = q - 5*h, 3*q - 164155 = -q + h. Is q a composite number?", "a": "False" }, { "q": "Let v(c) = 2*c**2 + 34*c + 17. Let u be v(-17). Let b = 17 - u. Suppose 15*t - 16*t + 787 = b. Is t a composite number?", "a": "False" }, { "q": "Let r be 12/(-54) + 5588/36. Let m be 19/7 - (-2)/7. Suppose -m*d + r + 22 = 0. Is d composite?", "a": "False" }, { "q": "Let a = -5152 - -64154. Is a a composite number?", "a": "True" }, { "q": "Let t = -17 + 14. Is (-222)/(-1) - (t - -2) a composite number?", "a": "False" }, { "q": "Suppose -6*z = -4505 - 10123. Is z*(2/8 + (-13)/(-52)) composite?", "a": "True" }, { "q": "Suppose 286423 = -u + 5*u + 5*h, -u + 2*h = -71609. Is u composite?", "a": "True" }, { "q": "Suppose -2*f - 2*n + 96 = 2*f, 3*f = 4*n + 83. Is -4*f/(-20) + 680 composite?", "a": "True" }, { "q": "Let w be (-2 - 23/(-5))/(10/50). Let a(c) = 282*c + 5. Is a(w) composite?", "a": "False" }, { "q": "Let l be (-4 - -10)/(-1 - (-1)/(-1)). Let x(b) = 356*b**2 + b - 7. Is x(l) a composite number?", "a": "True" }, { "q": "Let j = -55277 - -95248. Is j prime?", "a": "True" }, { "q": "Suppose -74768 = -4*r + 5208. Suppose -2*c + 3*c = 65. Is r/c + (18/10)/(-3) composite?", "a": "False" }, { "q": "Let b be ((-3)/((-12)/(-574)))/(1/(-6)). Suppose -3*d = -69 - b. Suppose 3*s - 173 = d. Is s a composite number?", "a": "True" }, { "q": "Suppose -3*m = -4*o + 33875, -1042*o + 3*m - 16915 = -1044*o. Is o prime?", "a": "False" }, { "q": "Let l be 17/2*80/2. Let o = l - -62. Suppose 0*d = -2*d + 5*q + o, q + 629 = 3*d. Is d prime?", "a": "True" }, { "q": "Suppose 12*c - 2136914 = -13*c - c. Is c prime?", "a": "True" }, { "q": "Suppose -13*r = -12*r - 4. Suppose v - 1 = -a + 1, -a - 28 = -r*v. Suppose -u - v*u = -24647. Is u a composite number?", "a": "True" }, { "q": "Let k(b) = 264*b**2 + 9*b - 7. Let w be k(1). Suppose -w = -4*v + 4498. Is v prime?", "a": "False" }, { "q": "Let q = 427854 - -110147. Is q a composite number?", "a": "False" }, { "q": "Suppose 29*r - 24*r = 2*y + 532645, 4*y - 106551 = -r. Is r a prime number?", "a": "True" }, { "q": "Suppose -x - 3*x + g - 4 = 0, -4 = -2*x - g. Suppose x = -c - 3*c + 4*w + 35772, 4*w + 17894 = 2*c. Is c composite?", "a": "True" }, { "q": "Let z = 28683 - 9242. Is z a prime number?", "a": "True" }, { "q": "Let i be ((210/(-4))/(-5))/(2/(-4)). Let g = -41 - i. Is 18/g*-134 + 2/5 composite?", "a": "True" }, { "q": "Let o(d) = -d - 22. Let i be o(10). Let u(m) = -3*m**2 - 8*m - 3. Let s be u(6). Let w = i - s. Is w a composite number?", "a": "False" }, { "q": "Let k(a) = -2049*a + 5. Let p be k(-1). Is p + 1 - (-21 + 17) a prime number?", "a": "False" }, { "q": "Let i(w) be the third derivative of 151*w**5/60 - w**4/4 - 7*w**3/6 + 18*w**2. Let h be i(-2). Suppose n + 1875 = 3*z - 2*n, -z = -5*n - h. Is z prime?", "a": "False" }, { "q": "Let b(g) = 0 + 1 + 28*g**3 - 2*g**2 + 375*g**3 + 169*g**3. Is b(1) a composite number?", "a": "False" }, { "q": "Let k = 118609 - 77310. Is k composite?", "a": "False" }, { "q": "Suppose 8*p = -29*p + 18*p + 746567. Is p composite?", "a": "False" }, { "q": "Is (111 + -113)*164911/(-2) composite?", "a": "False" }, { "q": "Let s(g) = 0 + 2 - g**2 + 1097*g - 1099*g + 122*g**3. Is s(1) composite?", "a": "True" }, { "q": "Suppose 2*m - 11736 = -4*n + 12294, 0 = -5*n + 4*m + 30031. Is n prime?", "a": "True" }, { "q": "Suppose -12*m + 6*m = 0. Suppose -2*c = -0*c - d - 325, 5*c - 5*d - 820 = m. Is c composite?", "a": "True" }, { "q": "Suppose 2*k + f = 80506, 4*k - 5*f - 118537 - 42475 = 0. Is k prime?", "a": "True" }, { "q": "Suppose -2 = 3*k - 11. Let h(d) = 4*d**2 + 10*d - 1. Let c be h(k). Suppose c = 2*a - 147. Is a composite?", "a": "True" }, { "q": "Suppose -83*a - 15722 = -81*a. Let w = -4812 - a. Is w prime?", "a": "True" }, { "q": "Suppose 3*j - 23009 = -3*o + 10321, -4*o + 44467 = -5*j. Is o a prime number?", "a": "True" }, { "q": "Let n(w) = -w**2 + 4*w + 7. Let a be n(5). Suppose 0 = -a*u + u - 5*j - 90, -2*u + 3*j - 180 = 0. Is (-20)/u - (-12326)/18 a prime number?", "a": "False" }, { "q": "Let k(c) = 15*c. Let f be k(3). Let v = 39 - f. Is 178770/105 - v/14 a composite number?", "a": "True" }, { "q": "Let k = -27 + 29. Suppose -k*w + 18 = 4*j, -j + 3 = w - 4. Suppose j*l - 97 = l + 4*y, -y - 428 = -5*l. Is l composite?", "a": "True" }, { "q": "Suppose 31*u + 989035 + 245970 = 36*u. Is u prime?", "a": "True" }, { "q": "Let j(x) = 24*x + 15. Let i be j(12). Suppose 3*h = 207 + i. Suppose 0 = -6*a + 1156 + h. Is a composite?", "a": "True" }, { "q": "Suppose -11*t = -11 - 33. Is 5/(5/949) + 16/t prime?", "a": "True" }, { "q": "Suppose 0 = 25*a - 14*a + 27*a - 5038382. Is a a prime number?", "a": "True" }, { "q": "Let b(x) = -2*x**2 + 20*x - 22. Let v(n) = -n**2 + 10*n - 7. Let s be v(10). Let m(z) = z**2 - 13*z + 15. Let g(w) = s*m(w) - 5*b(w). Is g(-10) a prime number?", "a": "False" }, { "q": "Let c(m) be the second derivative of 5*m**4/12 - 8*m**3/3 + 7*m**2 + 9*m. Let j be c(-15). Suppose 3*l = j + 28. Is l composite?", "a": "True" }, { "q": "Suppose w - 19843 = -r, -19835 = -w + 3*r - 0*r. Is w a prime number?", "a": "True" }, { "q": "Suppose -f = -2*y - 251, 5*f + 341 = -2*y + 96. Let n = y + 308. Is n a prime number?", "a": "False" }, { "q": "Let z(y) = y**3 + 8*y**2 + 7*y + 15. Let n(l) = l**2 + 11*l + 3. Let c be n(-10). Let h be z(c). Is 8540/h + 1 + 4/6 a composite number?", "a": "False" }, { "q": "Let l = 21242 + -11719. Is l a composite number?", "a": "True" }, { "q": "Suppose 2*m = -y - 2, m = -y - 4*m - 14. Let l(x) = 6*x + x - 4 - y*x**3 - 8*x**2 + 5 + 4. Is l(-4) a composite number?", "a": "False" }, { "q": "Suppose 0 = 11*s - s - s - 642483. Is s prime?", "a": "True" }, { "q": "Let l be (-1 - -2)*-1 + 5. Suppose 0 = -l*i + o + 21, 24 = 2*i + 3*o + o. Is 1082/(i/(-9)*-3) a prime number?", "a": "True" }, { "q": "Is 14012 + (-72)/6 - 6 a prime number?", "a": "False" }, { "q": "Suppose 57*f - 58*f + 19756 = -3*k, -6*f + 2*k + 118456 = 0. Is f a composite number?", "a": "True" }, { "q": "Let r(f) = -96*f**3 - 12*f**2 + 4*f + 17. Is r(-4) prime?", "a": "True" }, { "q": "Suppose -43 + 531 = -2*q. Let n be 706*4*(-2)/(-16). Let h = q + n. Is h composite?", "a": "False" }, { "q": "Let u(x) = x**2 - 2*x + 2. Suppose -8 = -2*b - 8. Suppose -5*o - 25 = -b*o. Is u(o) composite?", "a": "False" }, { "q": "Let l(q) = 611*q + 2097. Is l(14) a prime number?", "a": "True" }, { "q": "Suppose 411 + 271 = -z. Let j(q) = q**3 - 2*q**2 + q - 1091. Let d be j(0). Let r = z - d. Is r a prime number?", "a": "True" }, { "q": "Suppose 1 = n, 5*q + 14*n = 15*n + 29374. Suppose 5*i + 1636 = f, 987 = -3*f - 5*i + q. Is f prime?", "a": "False" }, { "q": "Suppose 0 = -12*q + 2*q + 150. Is 34060/75 + (-2)/q prime?", "a": "False" }, { "q": "Suppose -311*n + 317*n + 31248 = 0. Let s = n + 12241. Is s a composite number?", "a": "True" }, { "q": "Suppose 0 = -10*t + 7*t - 15, g - 5 = t. Is -5 + (g - -1) + (1332 - -54) a prime number?", "a": "False" }, { "q": "Let n = -14 + 20. Suppose n*m - 23 = 1. Suppose 2*j - 3*j + 29 = m*c, -5*j + 122 = -3*c. Is j composite?", "a": "True" }, { "q": "Let l = -877 + 1247. Suppose -4*i + 6*i = l. Is 1/(38/i + 5/(-25)) a prime number?", "a": "False" }, { "q": "Is (-4)/(-26) + 17448494/182 a composite number?", "a": "True" }, { "q": "Suppose -2*c + 255593 = 11*c. Is c composite?", "a": "False" }, { "q": "Let h(x) = 139*x**2 - 11*x + 59. Is h(14) a composite number?", "a": "True" }, { "q": "Suppose v + 4*v + 5 = 5*k, -2*v + 3 = -k. Suppose 0 = -11*i + k*i - 288. Let p = 1091 - i. Is p a prime number?", "a": "False" }, { "q": "Let v be (-6)/(-4) + (-7)/(-14). Suppose o = -v*o - 3147. Is (o/2)/((-2)/4) a composite number?", "a": "False" }, { "q": "Suppose -2*d = 5*j - 11661, 5*d - 2*j = -7*j + 29175. Suppose 1 - 9 = -5*n - 2*m, 3*n - m = -4. Suppose -a - 5*a + d = n. Is a composite?", "a": "True" }, { "q": "Let t(r) = 137*r + 312*r - 2 + 12 + 10. Is t(3) a composite number?", "a": "False" }, { "q": "Suppose 5*s + 15 = 8*s. Suppose -s*u + 891 = -1204. Is u a prime number?", "a": "True" }, { "q": "Let j be -6 + (-13)/(39/(-60)). Let u(v) = -v**3 + 23*v**2 + 11*v - 60. Is u(j) a prime number?", "a": "False" }, { "q": "Let d(n) be the first derivative of 4*n**3 - 35*n**2/2 - 97*n - 32. Is d(-22) a prime number?", "a": "True" }, { "q": "Let s(g) = -21684*g**3 + g**2 + 15*g + 21. Is s(-2) composite?", "a": "True" }, { "q": "Let r be (-57)/21 - (-6)/(-21). Let h be r*3/18*16. Is h/12 + 755/3 a composite number?", "a": "False" }, { "q": "Is ((-1667)/4)/((-243)/24 + 1 + 9) a prime number?", "a": "False" }, { "q": "Suppose 7*s + 14359 - 65578 = 0. Suppose -825 = 6*g - s. Is g composite?", "a": "True" }, { "q": "Let h = 113214 - 69270. Suppose 5*v - 7916 - h = 3*i, v - 10344 = -5*i. Is v prime?", "a": "True" }, { "q": "Let w(o) = -98*o - 54. Let n be w(-10). Suppose 3*l = -3*p + 906, -3*l + n = 4*p - 5*p. Is l composite?", "a": "False" }, { "q": "Let s = -483 + 267. Let n = s + 2453. Is n a composite number?", "a": "False" }, { "q": "Let l(w) = 2*w**2 + 2*w - 7. Let f be l(-4). Let i be (f*(-345)/12)/((-3)/12). Let s = i + 140. Is s a prime number?", "a": "False" }, { "q": "Let z = 424266 - 205225. Is z a prime number?", "a": "True" }, { "q": "Let m(v) = -2*v - 10. Let w(f) = -15*f - 69. Let a(q) = -27*m(q) + 4*w(q). Let g be a(-2). Suppose 0 = -g*k - 0*k + 1506. Is k a prime number?", "a": "True" }, { "q": "Let x = 4 + 0. Let d(c) = -14*c**2 + 14*c + 5. Let r(v) = 13*v**2 - 15*v - 6. Let y(j) = -7*d(j) - 6*r(j). Is y(x) composite?", "a": "True" }, { "q": "Suppose -55*w + 51*w = 0. Suppose 5*g + 4644 - 14149 = w. Is g a prime number?", "a": "True" }, { "q": "Let b be 140/44 + (-14)/77. Suppose b*n = 978 + 171. Is n prime?", "a": "True" }, { "q": "Let r = 80 - -144. Suppose -10*j = -8*j - r. Suppose -5*u + 5 = 0, 88 + j = 3*y + 5*u. Is y prime?", "a": "False" }, { "q": "Let w = 1063 - 348. Suppose y + w = 3324. Is y a composite number?", "a": "False" }, { "q": "Suppose 10*z = -0 + 30. Suppose 502 = 2*u + z*w, -6 = -3*w - 0. Suppose 6 + u = 2*p. Is p prime?", "a": "True" }, { "q": "Let t(m) = m**3 + 2*m**2 - 2*m + 4. Let c be t(0). Suppose 2*f + f = c*u + 16, 2*f + u = 7. Suppose r = 2*r + 5, -f*j + 356 = 4*r. Is j a composite number?", "a": "True" }, { "q": "Let i(k) = k**3 - 17*k**2 + 13*k + 46. Let y be i(16). Is (-106526)/(-28)*y/(-7) composite?", "a": "False" }, { "q": "Suppose 18*z - 157598 - 440127 = -118511. Is z a composite number?", "a": "True" }, { "q": "Let z(y) = 7*y + 1406. Let u be z(0). Suppose -4*d - 4230 = -3*m - d, u = m + 3*d. Is m prime?", "a": "True" }, { "q": "Suppose 0 = 5*d - 18157 + 1142. Suppose -2*i = -976 + 5664. Let c = d + i. Is c a composite number?", "a": "True" }, { "q": "Let p(c) = -1700*c - 1193. Is p(-19) a composite number?", "a": "True" }, { "q": "Let a be 722979/36 + (-5)/((-60)/(-9)). Let r = a + -11333. Is r a composite number?", "a": "True" }, { "q": "Suppose -6*u + 3*s + 227076 = 0, -33*u + 36*u = 4*s + 113533. Is u a prime number?", "a": "True" }, { "q": "Let o(l) = -9*l**2 + 11*l + 16. Let k be o(12). Let n be (-2)/(-4)*2 - k. Suppose n + 2120 = 7*t. Is t composite?", "a": "False" }, { "q": "Let f(p) be the third derivative of -p**6/120 + p**5/12 - p**4/4 + 2*p**3/3 - 6*p**2. Let k be f(4). Is (k - -1264)/5 + 1 prime?", "a": "False" }, { "q": "Let t(q) = -4460*q + 2. Let r be t(-1). Suppose 3*z + r = 3*v + 691, -3*z - 6281 = -5*v. Is v prime?", "a": "False" }, { "q": "Suppose l + 4*m - 1157 = 0, -980 = -3*l - m + 2447. Suppose l = -54*a + 55*a. Is a a composite number?", "a": "True" }, { "q": "Suppose -438646 = -33*q + 8*q - q. Is q a composite number?", "a": "False" }, { "q": "Suppose 0*y = 3*y + 3*d - 15, 0 = -3*y - 2*d + 16. Suppose -5*b + 3*s = -28652, 5*b + y*s - 28660 = s. Is b composite?", "a": "True" }, { "q": "Let l(r) = r**3 - 3*r**2. Let x be l(3). Suppose -3*d = 15, x = 4*z + z + 4*d - 1525. Suppose 3*s - n - 1067 = -z, -2*s = -3*n - 517. Is s a prime number?", "a": "True" }, { "q": "Suppose -2*n + 10143 + 2410 = -m, -5*m + 31345 = 5*n. Suppose -16*x + 14*x = -n. Is x a prime number?", "a": "True" }, { "q": "Suppose -2*q = q - 1122. Let i be -5 + 14 - (-178)/1. Let m = q - i. Is m a prime number?", "a": "False" }, { "q": "Let v(p) = -p**3 + 5*p**2 - 2. Suppose -4 = 2*n - 14. Let f be v(n). Is 2*(1 + (-417)/f) composite?", "a": "False" }, { "q": "Let j(w) = -4*w + 1. Let q be j(0). Let s(u) = 3987*u + 2. Is s(q) prime?", "a": "True" }, { "q": "Suppose 1281175 = 9*m + 9*m + 7*m. Is m prime?", "a": "False" }, { "q": "Suppose 8*m - 120 = -7*m. Suppose -7*l + 184305 = m*l. Is l a prime number?", "a": "False" }, { "q": "Let u be (90/(-60))/(1/2562). Let a = u - -5396. Is a a prime number?", "a": "True" }, { "q": "Let c = 10505 + -18929. Let h = c + 21989. Is h a prime number?", "a": "False" }, { "q": "Is (-273338)/(-18) - ((-42)/27 + 2) a composite number?", "a": "True" }, { "q": "Let m = 13 - 15. Let u be -2*m*4/(-32)*-38. Let x = 50 - u. Is x composite?", "a": "False" }, { "q": "Let a(d) = -d**3 + 7*d**2 - 4*d - 5. Let o be (10/(-8))/(9/(-36)). Let y be a(o). Suppose 0 = -5*r + y, 3*g + 2*r = r + 4610. Is g composite?", "a": "True" }, { "q": "Let c(z) = -z + 3. Let n be c(1). Let d be 11/n - (-9)/(-6). Suppose 5*k + i = 1828, 0 = -i + d - 1. Is k a prime number?", "a": "False" }, { "q": "Let i be 21*(-4 + 6)/2. Suppose -24835 = i*p - 26*p. Is p prime?", "a": "True" }, { "q": "Suppose -3*v = 0, -41*v = -3*m - 36*v + 90627. Is m composite?", "a": "True" }, { "q": "Let w(x) = 84*x**2 + 3*x + 6. Is w(-7) prime?", "a": "False" }, { "q": "Suppose -4*w + 12 = -2*w. Suppose w*x = 9*x - 7815. Is x prime?", "a": "False" }, { "q": "Suppose 4*p = 7*p - 6. Suppose -2*l + 10 = p*y, 4*l - 19 = -3*y + 1. Suppose y*r - z + 449 = 2*r, -3*r - 4*z + 666 = 0. Is r composite?", "a": "True" }, { "q": "Suppose -5*d + 19 + 26 = 0. Let k = 2765 - 986. Suppose 1992 + k = d*g. Is g a prime number?", "a": "True" }, { "q": "Suppose 4*m - 3*y - 39188 = 0, -113*y + 108*y - 29391 = -3*m. Is m prime?", "a": "False" }, { "q": "Let v be (-23)/(-3) + (-95)/57. Is 2613/52*104/v composite?", "a": "True" }, { "q": "Let z(v) = v**3 - 9*v**2 + 10*v + 1. Is z(62) prime?", "a": "True" }, { "q": "Suppose -3*z + 11357 = s, -4*s + 87*z - 92*z = -45456. Is s a prime number?", "a": "True" }, { "q": "Suppose s = 693 + 1314. Suppose 4*v = v + s. Is v composite?", "a": "True" }, { "q": "Let y(u) = 2*u**2 - 9*u - 28. Let x be y(-3). Let d(v) = v**3 - 18*v**2 + 19*v + 25. Is d(x) a prime number?", "a": "True" }, { "q": "Let l = 230 - 405. Is 2/(-7) - 46075/l composite?", "a": "False" }, { "q": "Let w = -120 - -129. Suppose -9638 = -3*v - j, -11 = 5*j + w. Is v composite?", "a": "True" }, { "q": "Let l(u) = 163*u**2 - 35*u - 157. Is l(-16) a prime number?", "a": "True" }, { "q": "Let p = -997 - -78. Let q = p + 1300. Is q a prime number?", "a": "False" }, { "q": "Suppose 4*p + 4 = 0, 2*w - 3*w + 140 = -p. Let h be (-9)/(-6) + (-20)/(-8). Suppose 4*i - h*a - 241 = 315, i + 3*a - w = 0. Is i prime?", "a": "True" }, { "q": "Suppose 18*h = -5*d + 23*h + 96185, h - 19233 = -d. Is d composite?", "a": "True" }, { "q": "Let q(f) = -182*f**3 + 5*f**2 + 143*f + 693. Is q(-5) a composite number?", "a": "False" }, { "q": "Let r(g) = 102*g + 53. Let o be r(6). Let z = o - 94. Is z prime?", "a": "True" }, { "q": "Let k(h) = -h**2 + 17*h + 25. Let f be k(9). Let r(i) = -5*i + 4. Let m be r(-4). Let n = m + f. Is n a prime number?", "a": "False" }, { "q": "Let r(c) = -c**2 - 11*c + 13. Let l be r(-12). Is 1291*(-6 - -7)/l prime?", "a": "True" }, { "q": "Suppose 19*x + 52 = 15*x. Let w(s) = -2*s**3 - 17*s**2 + 16*s - 40. Is w(x) a prime number?", "a": "False" }, { "q": "Suppose 7 = -2*i + 13, 0 = 2*l + 2*i - 6258. Let f = l - -1763. Is f a composite number?", "a": "False" }, { "q": "Is -1 + 197535 + 0 - (326 - 325) composite?", "a": "True" }, { "q": "Suppose 87*o = 86*o - 4*p + 31635, -3*o + p + 94892 = 0. Is o a prime number?", "a": "False" }, { "q": "Let f(k) = 9*k + 20. Let j be f(-2). Let z be (-5 - -1) + 2 + 6. Suppose -8 = -z*l, 4*m - j*l = m + 2909. Is m prime?", "a": "True" }, { "q": "Is (2 + 3)*359198/70 a composite number?", "a": "False" }, { "q": "Let t(b) = 8*b**2 + 20*b - 559. Is t(36) a composite number?", "a": "False" }, { "q": "Suppose 5*p + 15 = 0, 5*g + 5*p - 19064 = 45626. Suppose n = 3*a + 5555 - 24963, -2*a + g = -3*n. Is a composite?", "a": "False" }, { "q": "Let v = -6198 - -15156. Suppose 6*c + 192 = v. Is c a prime number?", "a": "False" }, { "q": "Let r be ((-5 - -2) + 5 - 2) + 3. Suppose -5*i = -r*i - 3470. Is i prime?", "a": "False" }, { "q": "Suppose -71065 = -10*v + 356575 + 618630. Is v prime?", "a": "False" }, { "q": "Suppose -7092 = -17*n + 8*n. Is (n/12 - -2)*3 composite?", "a": "True" }, { "q": "Let v be (-6)/(-15) - 2/5. Let m(z) = -3*z**3 + 2*z**2 + 5*z - 75. Let n(d) = 4*d**3 - 2*d**2 - 6*d + 76. Let l(k) = -5*m(k) - 4*n(k). Is l(v) prime?", "a": "True" }, { "q": "Let b = 46 - 2197. Suppose -4*f - 4647 = h, 0 = 3*f - 0*f - h + 3487. Let m = f - b. Is m a prime number?", "a": "False" }, { "q": "Let q(t) = 187*t**2 - 2*t + 2. Suppose -o - 5*w = -2*w - 10, -4*o + 25 = -3*w. Let l be 9/((-63)/(-2)) + (-23)/o. Is q(l) a composite number?", "a": "True" }, { "q": "Let j be 3 + (-1)/((-3)/(-213)). Let q be (-69)/(-4) + (-51)/j. Is 50435/45 + 4/q prime?", "a": "False" }, { "q": "Let p(x) = -44*x**2 + 50*x - 21. Let m(y) = -15*y**2 + 17*y - 7. Let u(l) = 11*m(l) - 4*p(l). Is u(10) a composite number?", "a": "False" }, { "q": "Suppose 0 = x, b + x = 4*b + 6. Let t(s) = -s + 1. Let c be t(b). Suppose c*i - 138 = 2121. Is i prime?", "a": "False" }, { "q": "Let y(j) = -2*j**2 + 32*j + 38. Let f be y(17). Is 2/4*-1 - (-3974)/f prime?", "a": "False" }, { "q": "Let f(b) = 54*b - 17. Let h(g) = -g + 3. Let x be h(9). Let y(i) = i + 14. Let v be y(x). Is f(v) a composite number?", "a": "True" }, { "q": "Let q(n) = -n**2 + 11*n - 19. Let v be q(7). Let c be 1 + v + -1 + -1. Suppose 7*w + 381 = c*w. Is w a prime number?", "a": "False" }, { "q": "Let n(o) be the second derivative of -193*o**3/3 + 45*o**2/2 - 2*o + 5. Is n(-3) a prime number?", "a": "False" }, { "q": "Suppose 1 + 5 = 5*y - 3*s, y = -3*s - 6. Suppose -3*l - 2*j = -j - 83, 2*l + 2*j - 58 = y. Suppose -2*d - 3*i + l = -751, -2*d = -2*i - 798. Is d prime?", "a": "False" }, { "q": "Let i = 343708 - 227481. Is i composite?", "a": "True" }, { "q": "Let y be (4/14)/(3/(-7))*-6. Suppose 3*j - 5*x - 26 = 0, y*j = 2*x + 9 + 7. Suppose 251 = 2*v + j*g - 407, 8 = -4*g. Is v a prime number?", "a": "True" }, { "q": "Let c = -525 + 758. Is c prime?", "a": "True" }, { "q": "Let t(q) = -q**3 + 10*q**2 - 3*q + 11. Let f be (-1 - 0)/(2/(-20)) + -1. Let o be t(f). Is o - (-4)/(-2) - -4 composite?", "a": "False" }, { "q": "Let a(b) = 21*b**2 + 6*b - 10. Let j be a(-8). Let o be (409/5)/(5*(-6)/(-150)). Let p = j - o. Is p composite?", "a": "False" }, { "q": "Let t = 7180 + -2337. Is t prime?", "a": "False" }, { "q": "Let u = 28 + -26. Suppose u*x - 13*x = -22. Suppose -3*q + 503 = x*c - 74, -571 = -3*q + c. Is q a prime number?", "a": "True" }, { "q": "Suppose 115 = -6*t - 41. Let c = t - -25. Is c + -1 + (495 - -4 - -2) a prime number?", "a": "True" }, { "q": "Let a = 20261 - -1498. Is a a prime number?", "a": "False" }, { "q": "Suppose -o - 4*d = -2*o + 1, -4*d + 14 = 2*o. Suppose -10775 = -5*h - 4*v, -v - 3903 = -o*h + 6897. Is h a prime number?", "a": "False" }, { "q": "Suppose 27035 = g + 2*o, 4*g - 3*o - 1864 - 106254 = 0. Is g prime?", "a": "True" }, { "q": "Suppose -4*z + 5*v - 3 = 0, -2*v - 10 = -0*z + 4*z. Is (5 - 1533/z)/((-1)/(-2)) a prime number?", "a": "True" }, { "q": "Suppose f + 3492 = -3*f - 2*u, 0 = -2*f - 2*u - 1748. Let o = 1461 + f. Is o prime?", "a": "False" }, { "q": "Suppose 7*l = 4*l + 9. Suppose -80 = -3*w + c + 3377, -l*c - 4616 = -4*w. Is w prime?", "a": "True" }, { "q": "Suppose -54 = 2*q - 0*q. Let t = q - -32. Suppose t*b - 10*b + 590 = 0. Is b prime?", "a": "False" }, { "q": "Suppose -6*v + 30*v = 550906 + 4361438. Is v a prime number?", "a": "False" }, { "q": "Suppose 3*i + 1 + 2 = 0. Let c = 2 + -2. Is 3 - 1 - (i + c)*444 composite?", "a": "True" }, { "q": "Let m(t) = t**3 + 28*t**2 + 51*t + 27. Is m(22) a composite number?", "a": "False" }, { "q": "Suppose 6*j - 10191 = 46788 + 34323. Is j a composite number?", "a": "False" }, { "q": "Let t = -25 + 8. Let u = t - -21. Suppose 0 = 3*i - u*i + 1481. Is i a prime number?", "a": "True" }, { "q": "Suppose 34 = 3*k + 2*f, -2*k = -2*f - 0*f - 26. Is (k/30)/((-2)/(-30)) a composite number?", "a": "True" }, { "q": "Let c = 88 - -62. Suppose -36 = -j - 2*t, 4*j = -t + c - 6. Let h = -17 + j. Is h composite?", "a": "False" }, { "q": "Let o(w) = 10*w**2 - 1. Let z be o(-1). Suppose -z*v + 9093 = 3072. Is v prime?", "a": "False" }, { "q": "Let a(i) = -i**2 + 6*i - 4. Let y be a(3). Let w be -6*((5/(-2))/(-5) - 1). Suppose -3*f + 4*f - 2*b - 259 = 0, -w*f = y*b - 766. Is f a prime number?", "a": "True" }, { "q": "Let g(o) = 37*o**3 - 11*o**2 + o + 7. Is g(4) prime?", "a": "True" }, { "q": "Let b = 23 - 19. Suppose 3*g - 2*g = -b*h + 5155, 3*h + 20563 = 4*g. Is g a composite number?", "a": "True" }, { "q": "Suppose 1968*t = 1954*t + 91294. Is t a prime number?", "a": "True" }, { "q": "Suppose 17*a - 138308 - 251570 = 0. Is a composite?", "a": "True" }, { "q": "Let o(p) = -2*p**3 - 6*p**2 + 4*p + 9. Let i be o(-7). Let f = 604 + i. Is f a composite number?", "a": "False" }, { "q": "Let y be 0*(1 + 8/(-6)). Suppose y = 2*p + 2. Is -7 + 124 + (-4)/p composite?", "a": "True" }, { "q": "Let r = -34 - -42. Let q be (1 - r/(-4))*(-20)/6. Let j(d) = d**2 + 4*d - 23. Is j(q) composite?", "a": "False" }, { "q": "Let o = 19 - 15. Suppose -5*d = -3*k - 16, -o*k + 3*d = k. Suppose -1986 = -k*y - 3*y. Is y prime?", "a": "True" }, { "q": "Suppose -14*u - 9*u = -5934. Suppose -430 = -5*v - 5*z, 3*z = -3*v - z + u. Is v a composite number?", "a": "True" }, { "q": "Suppose 510 = -20*z + 25*z. Let p = 109 - z. Is p a composite number?", "a": "False" }, { "q": "Let f(a) = -2704*a**3 - 25*a**2 - 65*a + 19. Is f(-3) a composite number?", "a": "False" }, { "q": "Let s be (-10)/4*168/105. Is 79 - s - 6/(-1) a composite number?", "a": "False" }, { "q": "Is (-29515395)/(-78) - 6/4 a composite number?", "a": "False" }, { "q": "Suppose 53*i - 15 = 50*i. Suppose -4*g + g = -3*m - 21288, -i*g + 4*m = -35475. Is g prime?", "a": "False" }, { "q": "Let h(b) = 31*b + 6. Let u = 84 - 28. Let m be (u/16)/((-2)/(-4)). Is h(m) prime?", "a": "True" }, { "q": "Let v = -150 + 144. Is (-4 - 5030/v)*3 composite?", "a": "False" }, { "q": "Let b(y) = 41*y + 85. Suppose 31 = n + g, 0*g = -3*n - g + 83. Is b(n) a composite number?", "a": "False" }, { "q": "Let s(d) = 693*d + 101. Let p(c) = 173*c + 25. Let a(v) = -9*p(v) + 2*s(v). Is a(-14) a composite number?", "a": "False" }, { "q": "Suppose 0 = b - 4, s + 7*b - 6437 = 3*b. Suppose 0 = a + 2, s = 6*d - d + 2*a. Is d composite?", "a": "True" }, { "q": "Is (-19)/((-3)/(-2154)*-2) composite?", "a": "True" }, { "q": "Let p = -7811 + 16660. Is p a prime number?", "a": "True" }, { "q": "Let j(q) = 19*q**2 + 5*q. Let h be j(-14). Let f = h - 5175. Let z = -407 - f. Is z prime?", "a": "False" }, { "q": "Let v be 6*1 - (3 + -3 - 3). Suppose -7*b = -v*b. Suppose -c + 2*a + 383 + 100 = 0, -2*c - a + 986 = b. Is c composite?", "a": "False" }, { "q": "Let y = -30 + 35. Suppose -3*c + y*k + 3531 = -3083, -2207 = -c + 4*k. Is c a composite number?", "a": "False" }, { "q": "Suppose -177749 = 35*x - 39*x + 5*i, 5*x - 222190 = 5*i. Is x composite?", "a": "True" }, { "q": "Let g = 3475 - 3416. Is g a prime number?", "a": "True" }, { "q": "Let i(c) = -5*c**3 + 5*c**2 + 7*c - 4. Let v be i(-5). Suppose -3*u + v = -879. Suppose 2*t = u - 120. Is t a composite number?", "a": "True" }, { "q": "Suppose 5*v = -3*o + 25127, 4*o = -5*v + 34887 - 1391. Is o prime?", "a": "True" }, { "q": "Suppose -1221 - 334 = -3*v - 2*h, -5*v = -4*h - 2621. Is v prime?", "a": "True" }, { "q": "Let y(g) = g**2 + 3*g - 33. Let q(s) = -s**3 + 4*s**2 - 3*s + 5. Let k be q(3). Let h be 0/(-6) + k*6/3. Is y(h) prime?", "a": "True" }, { "q": "Suppose -124*s - 9545379 = -211*s. Is s composite?", "a": "False" }, { "q": "Suppose -32*l = 114*l - 7736686. Is l a prime number?", "a": "False" }, { "q": "Suppose -3*r + 41*v + 491427 = 45*v, 3*v = 3*r - 491448. Is r composite?", "a": "True" }, { "q": "Is 50428 + 10/(-3)*(-75)/(-50) + -4 composite?", "a": "True" }, { "q": "Let r be (-45)/((-1 - (-27)/26)*-3). Let j = 829 + r. Is j a composite number?", "a": "True" }, { "q": "Suppose -258*t + 3*r + 23713 = -257*t, 2*r - 4 = 0. Is t a composite number?", "a": "False" }, { "q": "Let o be (-1)/2 + 5/2. Suppose -o*s - 4*d = -0*d - 5286, -5*s - 3*d = -13187. Suppose b = -2*b - 5*m + 2626, -s = -3*b + 4*m. Is b a prime number?", "a": "True" }, { "q": "Let v be (2*-2 - (-11 - -6))*-409. Is 1*(-6)/(6/v) composite?", "a": "False" }, { "q": "Let u(d) = -d**2 + 37*d - 33. Let j be u(36). Suppose -3*m = 9, -4*m - 2529 = -j*y - 2*m. Is y a composite number?", "a": "True" }, { "q": "Suppose -5*o - 25 = 0, 2*o + 3*o + 10 = -3*s. Let y be 1/s + (-266)/(-70). Suppose 0 = -3*h + 3, -f - 1016 = -y*f - 5*h. Is f prime?", "a": "True" }, { "q": "Let f = -150 - -151. Is 557*((0 - 0) + 2)/f composite?", "a": "True" }, { "q": "Let x(o) = 3615*o - 13. Let g = 0 - -2. Is x(g) prime?", "a": "False" }, { "q": "Suppose -5*m - 5*x = -78550, 3*x = 3*m - 0*x - 47118. Let c = 23497 - m. Is c composite?", "a": "False" }, { "q": "Suppose -5*i + 37*t + 591566 = 34*t, i - 2*t = 118309. Is i a prime number?", "a": "False" }, { "q": "Let k(c) = -965*c**2 + 2*c - 17. Let o be k(8). Is 4/16 + o/(-12) composite?", "a": "False" }, { "q": "Let f = -714 - -8611. Is f composite?", "a": "True" }, { "q": "Suppose 205*v = 204*v + 10. Is 4 - (-545)/v*6 a composite number?", "a": "False" }, { "q": "Let p = -6177 - -12081. Suppose -5*f + 70669 = p. Is f composite?", "a": "False" }, { "q": "Let b(o) = 377*o + 34. Suppose -37 = -5*t + 4*q, -5*q + 2 = 2*t - 26. Is b(t) composite?", "a": "True" }, { "q": "Suppose 0 = 3*h - 12*n + 9*n - 53484, -5*h + 4*n + 89145 = 0. Is h composite?", "a": "True" }, { "q": "Let w(k) be the third derivative of 3*k**6/40 - k**4/12 - 5*k**3/2 - 27*k**2. Is w(4) prime?", "a": "False" }, { "q": "Let b(v) = -145*v**3 + v**2 + 10*v + 58. Is b(-4) a prime number?", "a": "False" }, { "q": "Let p = 1226 + 17136. Is p composite?", "a": "True" }, { "q": "Let q = 113875 - 75092. Is q a prime number?", "a": "True" }, { "q": "Let a = -11196 - -38215. Is a composite?", "a": "True" }, { "q": "Let q(l) = 2*l**3 - 20*l**2 - l + 15. Let p be q(10). Suppose -2*d - 4960 = -r - p*d, -3*r - d + 14904 = 0. Is r a composite number?", "a": "False" }, { "q": "Let a(o) = -o**3 - 24*o**2 - 3*o + 46. Let k be a(-27). Let w = 3459 + k. Is w a prime number?", "a": "False" }, { "q": "Let r = 212486 - 87319. Is r composite?", "a": "True" }, { "q": "Suppose 2*f - 3*f + 26 = 5*k, -5 = -k. Let i(r) = 0*r - r + 89*r**3 - 1 - 13*r**2 + 39*r**3 + 14*r**2. Is i(f) a composite number?", "a": "False" }, { "q": "Is 52/4*(10 - -1207) prime?", "a": "False" }, { "q": "Suppose 3*x - 16 = -7. Suppose 0 = -i + 3*q + q, -x = -3*q. Suppose 4*j - 1976 = -4*z, -i*j - 2193 = -3*z - 732. Is z a composite number?", "a": "False" }, { "q": "Let u(r) = -r**3 - 8*r**2 - 11*r + 11. Let h be u(-6). Suppose n = h*n + n. Suppose -o + 3*v + 19 = n, v + 3*v - 26 = -o. Is o a prime number?", "a": "False" }, { "q": "Suppose k - 3*j - 9 = -0*j, 0 = k - 5*j - 13. Suppose k*x = -5*i + 3310, -1284 = -3*i - x + 702. Is i a composite number?", "a": "True" }, { "q": "Suppose -102*d + 20*d + 2355908 = -3433866. Is d a prime number?", "a": "True" }, { "q": "Suppose -5*r + 83060 = 4*b, -4*r = 3*b - 3*b. Is b a prime number?", "a": "False" }, { "q": "Suppose -4*d + 2*d - 2*u + 84 = 0, -d - 4*u + 33 = 0. Let g = 46 - d. Is (1521/45)/(g/5) a composite number?", "a": "True" }, { "q": "Let q be (3/12 - (-4)/(-16))/1. Let a(b) = -b**2 - 3*b + 2333. Is a(q) a composite number?", "a": "False" }, { "q": "Let q = -119 + 123. Suppose -4*b + q*m + 12820 = 0, -m = 5*b - 6416 - 9597. Is b a composite number?", "a": "False" }, { "q": "Let p = 63484 + -45141. Suppose 0 = 14*c - c - p. Is c a prime number?", "a": "False" }, { "q": "Let c be (-435)/(2 - 2/(-4)*-2). Let z = 618 + c. Is z a prime number?", "a": "False" }, { "q": "Let o be (2 + -1 + -6)*-1. Let y be (-1188)/132 + 9*1. Suppose y*s + 2065 = o*s. Is s a composite number?", "a": "True" }, { "q": "Is ((-90)/(-72) + 7/(-28))/((-2)/(-119134)) composite?", "a": "False" }, { "q": "Let g = 4341 + -3446. Is g a prime number?", "a": "False" }, { "q": "Let w = 87943 - 165235. Is (-4)/22 + w/(-33) + 0 composite?", "a": "True" }, { "q": "Let y be 0/(8/4) + 3. Let d = 7 + 630. Suppose -4*p = c + d - 1958, y*p - 3999 = -3*c. Is c composite?", "a": "True" }, { "q": "Suppose -t + 5*i = -42, 3*t + 5*i = 128 - 22. Suppose 41*v + 2008 = t*v. Let n = 315 - v. Is n prime?", "a": "False" }, { "q": "Let l(k) = k - 1. Let u(r) = -23*r - 8. Let g(t) = -5*l(t) + u(t). Let c be g(-11). Suppose y - 3*a - c = 0, 1721 = 5*y + 3*a + 124. Is y a prime number?", "a": "True" }, { "q": "Let v be (-1 + -2 - 0)/((-5)/5). Suppose v*t + 204 = 1728. Suppose 5*j = 9*j - t. Is j prime?", "a": "True" }, { "q": "Suppose h - 2*p = 2*p + 81, 3*h = -5*p + 260. Suppose -5*l + n + 3959 = 0, l - 2*n + h = 884. Is l composite?", "a": "True" }, { "q": "Let v(b) = 9046*b**2 - 3*b - 3. Is v(-1) a composite number?", "a": "True" }, { "q": "Let f = -29 + 23. Let x be (f/4 + 4)*196. Suppose 0 = -5*p - 135 + x. Is p a prime number?", "a": "True" }, { "q": "Let k(y) = 624*y + 98. Let h be k(17). Let c = h + -6007. Is c a composite number?", "a": "True" }, { "q": "Suppose -b + 72*d + 79762 = 75*d, 0 = 4*d - 4. Is b a composite number?", "a": "True" }, { "q": "Let b(l) = 8*l**3 - 6*l**2 + 7*l - 10. Let k be (1 + 0)/1 + -22 + 22. Let u(j) = j**3 - j**2 - j + 1. Let w(n) = k*b(n) - 3*u(n). Is w(5) composite?", "a": "False" }, { "q": "Let m = -139 - -144. Suppose 4*g - 8*g - n = -31273, n - 39090 = -m*g. Is g composite?", "a": "False" }, { "q": "Suppose 2 = 2*b + 4. Let h be (3/(-2) + 1)*b*6. Suppose -n + 162 = 2*k + 4*n, -n = -h*k + 277. Is k a composite number?", "a": "True" }, { "q": "Suppose -2 = k - 2*k. Suppose 0 = 3*m - k*m - 544. Suppose 0 = 5*j + 25, -m - 726 = -5*s + j. Is s composite?", "a": "True" }, { "q": "Suppose -m = 4, t = -4*m - 331 - 124. Let n = t - -133. Let l = -4 - n. Is l prime?", "a": "False" }, { "q": "Let z(l) = -31920*l - 317. Is z(-8) a prime number?", "a": "True" }, { "q": "Let p = 157699 + -90672. Is p a composite number?", "a": "True" }, { "q": "Let n(s) = 4*s**2 - 17*s + 14. Let x be n(11). Suppose 11*f = 272 + x. Is f a composite number?", "a": "False" }, { "q": "Let f be (0 + 6/15)*85. Suppose f*d - 43888 = 18*d. Is d composite?", "a": "True" }, { "q": "Let m = 253 + 110. Suppose 2*s + 6227 = 5*t, 3*s + m = -4*t + 5363. Is t prime?", "a": "False" }, { "q": "Let o = 14 - 10. Suppose -1005 = -o*g - u + 345, -3*g + 1001 = -5*u. Is g composite?", "a": "False" }, { "q": "Suppose i + 24 = 3*i. Let t = 17 - i. Suppose -9*y = -t*y - 5924. Is y a composite number?", "a": "False" }, { "q": "Let q(j) = 5*j**2 + 9*j + 15. Suppose l + 5*p + 13 = 0, 37 = 3*l - p - 4. Suppose -6*y + 54 = -l. Is q(y) a composite number?", "a": "False" }, { "q": "Let w(x) = -3*x**3 - 11*x**2 - 21*x + 21. Let f be w(-7). Is (-4)/(20/15) - f*-1 composite?", "a": "True" }, { "q": "Let u be (-4997)/9 - -1*(-12)/(-54). Suppose 0 = -3*h + 5*m - 4341, -5*m - 4311 = 2*h + h. Let s = u - h. Is s prime?", "a": "True" }, { "q": "Suppose -2*c + 8 = -2*b + 2*c, 2*b - 8 = -4*c. Suppose 0 = 2*z + 5*x - 22, x = -b + 4. Is (2 - z)/((-2)/(1 + -359)) a composite number?", "a": "False" }, { "q": "Let n(u) = -u**2 - 23*u - 3. Let h(x) = -3*x + 9. Let y be h(6). Let d(v) = -v**3 - 10*v**2 - 7*v + 5. Let o be d(y). Is n(o) prime?", "a": "True" }, { "q": "Let m be (-183)/(-6)*(-63 + 61). Let j(a) = -a**3 - 5*a**2 + a - 3. Let g be j(-4). Let b = g - m. Is b prime?", "a": "False" }, { "q": "Suppose z - q = 4*z - 50, 2*z = -4*q + 20. Suppose 221 = z*y - 10345. Is y composite?", "a": "False" }, { "q": "Suppose 4*m = -2*z + 22514, 0 = m - 5*z - 0*z - 5612. Is m prime?", "a": "False" }, { "q": "Suppose -2*c = 5*i - 11, c + 0*i - 3*i + 11 = 0. Is (2 - 1)*c - 12852/(-12) prime?", "a": "True" }, { "q": "Let t(s) = s**3 - 10*s**2 - 10*s + 4. Let q be t(11). Let f = q + 1. Suppose 3*d - 841 = l + 876, -f = 4*l. Is d prime?", "a": "True" }, { "q": "Let p(v) = -15*v - 9. Let j be p(8). Let q(l) = 42*l - 52. Let f be q(3). Let w = f - j. Is w a composite number?", "a": "True" }, { "q": "Let g = -4545 + 44758. Is g a prime number?", "a": "True" }, { "q": "Let b(i) = 2 - 3*i + 0 + 1 + 0. Let s be b(0). Suppose 565 = p + s. Is p a composite number?", "a": "True" }, { "q": "Let d = -106190 - -166989. Is d composite?", "a": "True" }, { "q": "Let i(u) = 11*u**3 - 4*u**2 - 3*u + 3. Suppose -2*d = 8, 4*h - 32 = -0*h + 4*d. Is i(h) prime?", "a": "True" }, { "q": "Let f be (-6900)/(-90)*((-48)/(-15) - 2). Let d be (-2)/3 + 2/(-6). Is 3/((-12)/f)*d a composite number?", "a": "False" }, { "q": "Let a(v) = -v**3 + 6*v**2 + 294*v - 10. Is a(-39) a composite number?", "a": "True" }, { "q": "Suppose -10*m = -6*m - 5*f + 24, 9 = -5*m + f. Is (0 + -1)/(65730/65737 + m) a composite number?", "a": "False" }, { "q": "Suppose 0 = 5*n + 2*j - 22, n + 5*j + 3 = 12. Let y(p) = 49*p**2 + 6. Let r(s) = 50*s**2 + 5. Let m(g) = n*r(g) - 3*y(g). Is m(3) composite?", "a": "False" }, { "q": "Suppose 130425 = 5*p - 5*n, -60088 = -4*p + 5*n + 44254. Is p a composite number?", "a": "False" }, { "q": "Suppose -4*y = -5*d - 515, -3*d = -y + 2*y - 116. Suppose y*q - 120*q - 1115 = 0. Is q prime?", "a": "True" }, { "q": "Let u(r) be the first derivative of -r**2/2 + 2*r + 16. Let g be u(-2). Suppose 174 = -g*h + 406. Is h composite?", "a": "True" }, { "q": "Let h be (-6*905/(-75))/((-2)/(-10)). Let a = -95 + h. Is a prime?", "a": "False" }, { "q": "Let p(o) = -2*o**2 - 12*o - 6. Let z be p(-5). Suppose -2*c = z*c - 8394. Is c composite?", "a": "False" }, { "q": "Let j = 35926 + -22559. Is j a composite number?", "a": "False" }, { "q": "Is (-74554)/3*192/(-128) prime?", "a": "True" }, { "q": "Let v(x) = -1633*x - 998. Is v(-19) composite?", "a": "False" }, { "q": "Let a = 96 - 91. Suppose 5*u + 1494 - 12416 = -3*v, 5*u = -a*v + 18220. Is v prime?", "a": "False" }, { "q": "Suppose -x - 6*x + 77 = 0. Suppose -x*k + 18979 = -9962. Is k a prime number?", "a": "False" }, { "q": "Suppose -16*k + 4*k + 316062 = -76446. Is k composite?", "a": "True" }, { "q": "Let x(r) be the second derivative of 7*r**4/12 + 11*r**3/6 + 7*r**2/2 - 12*r. Let h be x(5). Suppose h = 4*g - 5999. Is g composite?", "a": "False" }, { "q": "Suppose 3*z + 6176 = 4*g, -3*g + 2321 = 3*z - 2290. Let i = 2914 - g. Let c = i - 904. Is c a prime number?", "a": "False" }, { "q": "Is (-11015)/25*(-15)/3 a prime number?", "a": "True" }, { "q": "Let y(d) = d**2 + 18*d + 11. Let j be y(-5). Let r = j - -2257. Is r prime?", "a": "True" }, { "q": "Let q = 196 - 194. Suppose -4010 = -4*n + q*l + 1436, 1366 = n - 5*l. Is n a prime number?", "a": "True" }, { "q": "Suppose -292*v + 345*v - 822931 = 0. Is v prime?", "a": "True" }, { "q": "Suppose t = 15*t - 93646. Is t composite?", "a": "False" }, { "q": "Is 9 + ((-141920)/(-10) - -6) a composite number?", "a": "False" }, { "q": "Let x(b) = 1 + 10 + 498*b**2 - 8 + 2*b + 2*b. Is x(-2) prime?", "a": "True" }, { "q": "Is ((-52)/117 - 9838/18)*(1 - 114) a prime number?", "a": "False" }, { "q": "Suppose 0 = -62*h + 72*h - 31090. Is h prime?", "a": "True" }, { "q": "Let g be 5/(-20)*-6404 - 2. Is g/(-6)*(-7 + 5) prime?", "a": "False" }, { "q": "Let j(o) = -12*o**3 + o**2 - 3*o + 2. Let q be j(1). Let g be 3 + (2/2)/((-3)/q). Is 202 - (g + -3)/12*-9 composite?", "a": "True" }, { "q": "Let s be (-6)/(-27) - 1123/(-9). Let p be (6 - 2)*(-4)/10*s. Is -4 + 3 + (-3)/(3/p) composite?", "a": "False" }, { "q": "Suppose -20 = 13*j - 18*j. Suppose g - 5*g = 2*b - 7932, -j*g - 4*b + 7924 = 0. Suppose -1588 = -4*x + p + p, -5*x + g = -3*p. Is x a composite number?", "a": "False" }, { "q": "Suppose -86 - 64 = 2*t. Let i be 100/t*126/2. Is (122/(-4))/(14/i) a prime number?", "a": "False" }, { "q": "Let g = 22474 - 15701. Suppose -3*d - g = -16*d. Is d prime?", "a": "True" }, { "q": "Is (20511/12)/(84/224) - 5 a prime number?", "a": "False" }, { "q": "Suppose d - 39 = 2*s, -d - 5*s + 45 = -15. Suppose -6*v - 3*v + d = 0. Suppose 2*p + 762 = 4*j, -5*j = v*p - 827 - 133. Is j prime?", "a": "True" }, { "q": "Let m(p) = 10*p**2 + p. Suppose 5*i - 2*y + 4 = -7, 0 = -4*i - y - 1. Let u be m(i). Suppose u*b = 7*b + 94. Is b composite?", "a": "False" }, { "q": "Suppose 5*j + 9170 = f, 7*f - 5*j - 27460 = 4*f. Suppose -t = 4*t + f. Let v = t - -2670. Is v a prime number?", "a": "False" }, { "q": "Let t = 38812 + -6561. Is t a composite number?", "a": "False" }, { "q": "Suppose 4*n = -n + 4*b + 6950, -b = 0. Suppose 0 = -g - 4*g + n. Suppose 5*s = -j + 4*j - g, -86 = -j - 5*s. Is j composite?", "a": "True" }, { "q": "Let o = 24507 - 12336. Is o prime?", "a": "False" }, { "q": "Suppose -41 = -13*u - 2. Suppose r = 5*f + 4716, -5381 = 2*r + u*f - 14800. Is r composite?", "a": "True" }, { "q": "Let f(l) = 5*l**2 + 14*l + 6. Suppose -3*j - 12 = j, -5*j + 53 = -4*b. Is f(b) a composite number?", "a": "False" }, { "q": "Let q(d) = -15*d**3 + 3*d**2 - 17*d + 12. Is q(-5) prime?", "a": "False" }, { "q": "Suppose 12*d = 8*d. Let s be 4 + 1/(-2)*10. Is (-2)/(-1)*s - (-787 + d) a composite number?", "a": "True" }, { "q": "Suppose -3*y - 2364 - 9831 = 3*a, -8135 = 2*y + 3*a. Let i = 577 - y. Is i composite?", "a": "False" }, { "q": "Suppose -2*s + 9 + 7 = 0. Is -15*9/(-18)*s/6 prime?", "a": "False" }, { "q": "Let h(q) = 5*q**3 - 90*q**2 - 16*q + 126. Let i(m) = -m**3 + 18*m**2 + 3*m - 25. Let n(x) = 2*h(x) + 11*i(x). Is n(12) a composite number?", "a": "False" }, { "q": "Let t be ((12/(-9))/(-4))/((-3)/(-63)). Suppose 0 = 2*l - t*l + 14425. Is l a composite number?", "a": "True" }, { "q": "Let a(b) = b**2 - 2*b - 14. Let c be a(5). Is (-2*(-9066)/12)/c a prime number?", "a": "True" }, { "q": "Let n = 30255 + -17864. Is n prime?", "a": "True" }, { "q": "Suppose -3*y + 1 + 5 = 0. Let n be y - (0 + -1 - (0 - -1)). Is 159 - (3 - (2/(-2) + n)) a composite number?", "a": "True" }, { "q": "Suppose 0 = 6*w - 17 - 1. Suppose 5*p - 11837 = 3*v + v, 5891 = -2*v - w*p. Let o = v - -6248. Is o composite?", "a": "True" }, { "q": "Let f = 23622 + 11513. Is f a composite number?", "a": "True" }, { "q": "Suppose -4*f + 4*g = 9*g - 476093, g - 238051 = -2*f. Is f a composite number?", "a": "False" }, { "q": "Let x = -26887 + 107717. Suppose 2*u + x = 12*u. Suppose 5*i = -2*m + 5983, -2128 = 5*i - 5*m - u. Is i a prime number?", "a": "False" }, { "q": "Let z(p) = -5*p - 74*p**2 - 21 + 175*p**2 + 59*p**2. Is z(-4) composite?", "a": "True" }, { "q": "Suppose -30*z = 19*z + 6*z - 4562855. Is z prime?", "a": "False" }, { "q": "Suppose -f = -4*x - 2, 0 = 4*x - 5*f - 3 - 3. Is (3/2)/(x/(-1514)) prime?", "a": "False" }, { "q": "Let q = 98997 + 68150. Is q a prime number?", "a": "False" }, { "q": "Suppose -4*t + 0*t = -3*g - 85549, g - 106960 = -5*t. Suppose -3*n = 4*m - 18890, -4*m + n - 2509 + t = 0. Is m a composite number?", "a": "False" }, { "q": "Suppose 20*m + 158240 = 36*m. Suppose 3*w - 5921 = -5*d, -5*w = 6*d - 2*d - m. Is w a composite number?", "a": "True" }, { "q": "Let w(p) = 12*p**3 - 16*p**2 + 24*p - 13. Is w(16) a prime number?", "a": "True" }, { "q": "Is ((-6)/4 + 45347 + -15)/(3/6) prime?", "a": "False" }, { "q": "Let j(z) = 371*z + 379. Is j(32) composite?", "a": "False" }, { "q": "Let d(f) = -2*f**3 + 3*f**2 + 11*f + 4. Let u be d(-2). Suppose -706 = -u*g + 2204. Is g composite?", "a": "True" }, { "q": "Suppose -40*i + 1165085 = 11*i - 600586. Is i a prime number?", "a": "False" }, { "q": "Suppose -906*y - 244817 = -923*y. Is y a composite number?", "a": "False" }, { "q": "Let s(w) = -1871*w - 980. Is s(-27) prime?", "a": "True" }, { "q": "Let g be (((-45)/10)/9)/(2/(-25792)). Suppose -11144 = -8*w + g. Is w composite?", "a": "True" }, { "q": "Let x(g) = -g**3 + 13*g**2 - g + 25. Let i be x(13). Is ((-7778)/(-3))/(8/i + 0) composite?", "a": "False" }, { "q": "Let v(t) = 3*t**3 - 3*t**2 + t + 4. Let l be v(2). Let h be ((-6)/5)/(l/(-60)). Is h/(-1) - (-4 - 1009) prime?", "a": "True" }, { "q": "Suppose -15*g + 14*g + 11*g - 491650 = 0. Is g a prime number?", "a": "False" }, { "q": "Let a = -50 + 53. Suppose 2*n = a*l - 1696 + 178, 5*l + 3*n = 2511. Let m = 886 - l. Is m a composite number?", "a": "True" }, { "q": "Let x = 213 + -205. Suppose -3702 = -2*g - 2*s, 7*s - 5*s - x = 0. Is g prime?", "a": "True" }, { "q": "Suppose -6995 - 1159 = -9*x. Suppose 5*s - 2082 - 2428 = a, -a = -s + x. Is s a prime number?", "a": "False" }, { "q": "Let c(w) = 19*w**2 - 8*w - 131. Is c(42) a prime number?", "a": "True" }, { "q": "Suppose -11*a + 2*d = -8*a - 23, 0 = -4*a + d + 29. Let p(o) = -8*o + 23 + 146*o + 0. Is p(a) composite?", "a": "True" }, { "q": "Suppose -5*z = 5, -2*z + 3*z = 5*j - 11. Suppose 2*n - 42 = 4*s, 0*s + j*s + 90 = 4*n. Suppose n*v - 19*v = 236. Is v prime?", "a": "True" }, { "q": "Suppose -6*m + 4055 = -m. Suppose m - 4079 = -4*h. Let q = -438 + h. Is q a prime number?", "a": "True" }, { "q": "Is 637457/6 + (-5 - (-403)/78) prime?", "a": "True" }, { "q": "Suppose -67784 = -2*q + 25*p - 28*p, 4*q - 135578 = -p. Is q composite?", "a": "True" }, { "q": "Let q = -60239 + 122092. Is q composite?", "a": "True" }, { "q": "Let y(m) = -m**2 - 23*m - 22. Let z be y(-22). Is (z + -4 - -3)/(12/(-15492)) a prime number?", "a": "True" }, { "q": "Suppose -5*f - 5*n = 15, -4*f - n - 2 = n. Is f/10 - (-25)/(125/12864) composite?", "a": "True" }, { "q": "Let y(f) = -812*f + 1123. Is y(-74) prime?", "a": "True" }, { "q": "Suppose -5*t = -1700 - 700. Suppose 4*c = -2*c + t. Let j = -3 + c. Is j prime?", "a": "False" }, { "q": "Let v(h) = h**3 + 41*h**2 - 183*h - 134. Is v(-41) a prime number?", "a": "True" }, { "q": "Let c = 47241 + -28321. Suppose -c = -x - i, 0*x + 37855 = 2*x + 5*i. Suppose h + 4*h = 5*z + x, -3*h = 2*z - 11359. Is h prime?", "a": "False" }, { "q": "Let j be 4 + 29 + -1 + -6. Suppose 0 = -30*q + j*q + 7604. Is q prime?", "a": "True" }, { "q": "Let v be 225/50*8/18. Let x be ((-6)/(-21))/((-5)/(-35)). Suppose -10 - v = -3*k, x*z - 4*k = 1894. Is z a composite number?", "a": "True" }, { "q": "Let c be (-153)/(-36) + 1/(-4). Let t(j) = 81*j**3 + 5*j**2 - 3*j + 5. Is t(c) composite?", "a": "True" }, { "q": "Suppose -89*m + 133276 = -37*m. Is m a prime number?", "a": "False" }, { "q": "Is 15139876/76 + ((-220)/209)/(-10) prime?", "a": "False" }, { "q": "Suppose 462454 + 32737 - 10608 = 11*i. Is i prime?", "a": "True" }, { "q": "Let t(y) = 19*y - 9. Let w be t(-3). Let o = w + 317. Is o a composite number?", "a": "False" }, { "q": "Let c(r) = 4*r + 42. Let q be c(-9). Let o(l) = 361*l - 7. Is o(q) a prime number?", "a": "False" }, { "q": "Suppose 49*t = 47*t - 426. Let m = 566 - t. Is m a composite number?", "a": "True" }, { "q": "Let g(b) = -b**2 - b + 851. Let h be g(0). Suppose -3*x + 2*q - 1130 = -7*x, 5*q - h = -3*x. Let v = 411 - x. Is v a composite number?", "a": "True" }, { "q": "Let r(v) = -2*v + 10. Let y be r(3). Let x be ((-16)/(-8))/(y/15574). Suppose 5*u = -4*m + 9733, -4*u - 3*m = -0*u - x. Is u a composite number?", "a": "False" }, { "q": "Suppose 4*f = 4*p + 278012 + 50016, 2*p = -5*f + 410007. Is f composite?", "a": "False" }, { "q": "Let b(s) = 818*s**3 - 2*s**2 - s + 1. Let n = 31 + -30. Let j be b(n). Suppose -4 - j = -4*c. Is c a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*u + 5*t + 39, -2*u + 15 = -4*t + 3*t. Suppose 0 = -u*j - 0*j + 37470. Is j a composite number?", "a": "True" }, { "q": "Let m(y) = 1670*y**3 - 3*y**2 + 43*y - 13. Is m(5) a prime number?", "a": "True" }, { "q": "Suppose -193*p = -259*p - 66. Let d(h) = -h - 1 - 2*h - 1648*h**3 - 1. Is d(p) composite?", "a": "True" }, { "q": "Let s = 123251 + -70894. Is s composite?", "a": "True" }, { "q": "Let i = 34 + -47. Let q(y) = 9*y - 49*y + 13*y**2 + 7 + y**3 + 28*y. Is q(i) a composite number?", "a": "False" }, { "q": "Let a = -3631 - -41534. Is a composite?", "a": "True" }, { "q": "Let w(z) be the first derivative of -39*z**2 - 16*z + 8. Let c be w(-3). Let u = 412 - c. Is u a prime number?", "a": "False" }, { "q": "Let t be (-16)/(-88) - (-22810)/22. Suppose 648 + 1430 = -2*d + q, 0 = -d + q - t. Is -2 - -4 - (-2 + d + 2) a composite number?", "a": "True" }, { "q": "Let h = -25 + 29. Suppose -h*r + 5*d = -40, 3*r + 5*d = -r. Suppose 6*o - r*o = 33. Is o prime?", "a": "False" }, { "q": "Let b = 27010 + -7431. Is b composite?", "a": "True" }, { "q": "Let u = 3318 + -2617. Is u a prime number?", "a": "True" }, { "q": "Let t = 16 + -13. Let j be (t/(-6))/((-3)/18). Suppose s - 1668 = -j*s. Is s a prime number?", "a": "False" }, { "q": "Let n(r) = -4*r + 39. Let q be n(14). Let m(k) be the second derivative of k**4/12 + 5*k**3/2 - 13*k**2/2 + 7*k. Is m(q) composite?", "a": "True" }, { "q": "Let w(h) = -3*h**2 + h. Let c be w(-1). Let v be c/20 + 1/5. Suppose 5*j + 2*o - 739 = 0, v = -o - 2*o - 9. Is j a composite number?", "a": "False" }, { "q": "Let a(z) = -1208*z - 97. Let g be (-120)/(-48)*24/(-10). Is a(g) a composite number?", "a": "False" }, { "q": "Suppose -53*s + 48*s + 7520 = 0. Let j = 829 + s. Is j composite?", "a": "False" }, { "q": "Let j be ((-48)/4)/((-12)/9). Let k(f) = -f**2 - 6*f + 5. Let c be k(-4). Suppose c*o - 532 = j*o. Is o prime?", "a": "False" }, { "q": "Let i(c) = 25*c**2 + 4*c - 15. Let l(z) = z**3 + 11*z**2 + 15*z + 42. Let s be l(-10). Is i(s) composite?", "a": "False" }, { "q": "Suppose -3*u = 5*l - 40, 7*u - 3*u - 32 = 4*l. Suppose 6*p + 35756 = u*p. Is p a prime number?", "a": "False" }, { "q": "Let u = 172234 - 120087. Is u prime?", "a": "True" }, { "q": "Let k(p) = 286*p**2 - 30*p + 795. Is k(17) composite?", "a": "False" }, { "q": "Suppose 0 = 19*u - 14*u + 6590. Let w = 249 - u. Is w composite?", "a": "False" }, { "q": "Let b be (-15)/(-6)*(-25888)/40. Let c = b - -2537. Is c composite?", "a": "False" }, { "q": "Let i = 8 + -4. Suppose -1 = 4*k + 19, -i*q - 2*k + 358 = 0. Is q/(-14)*(-12 + 5) a composite number?", "a": "True" }, { "q": "Let h(v) = -v - 6. Let b be h(-8). Let o be ((-379)/b)/(9/(-18)). Suppose 9*x = 8*x + o. Is x composite?", "a": "False" }, { "q": "Let k(r) = 449*r**2 + 12*r - 30. Let j be k(10). Suppose 3*f + 2*t = 2*f + 11255, -4*f + 2*t + j = 0. Is f composite?", "a": "True" }, { "q": "Let y = -2619 + 770. Let i = y + 4508. Is i composite?", "a": "False" }, { "q": "Let i(u) = -2*u**2 + 53*u - 53. Let r(z) = 2 + 15 - z**2 + 2*z**2 - 26*z + 9. Let w(n) = -6*i(n) - 13*r(n). Is w(17) a prime number?", "a": "True" }, { "q": "Is (-72264439)/(-299) + (-2)/23 prime?", "a": "True" }, { "q": "Let c(q) = 17*q - 28. Let t be c(0). Is (6/(-18))/((t/(-31128))/(-7)) a prime number?", "a": "False" }, { "q": "Let t = 35789 - 16668. Is t a prime number?", "a": "True" }, { "q": "Let p(q) = 10*q**2 - 3*q - 4. Let g be p(3). Suppose -9*x + 2*x + g = 0. Let f(m) = m**3 - 5*m**2 + 17. Is f(x) a composite number?", "a": "False" }, { "q": "Let p = -3413 - -5752. Is p a composite number?", "a": "False" }, { "q": "Suppose g - 5342 = 59319. Is g prime?", "a": "True" }, { "q": "Let f = -9331 - -13422. Suppose -x + 3 = 0, -2*d + 2*x + f = x. Let c = 3050 - d. Is c a prime number?", "a": "False" }, { "q": "Let h(d) = 6*d**3 - 31*d**2 + 74*d - 22. Is h(11) a composite number?", "a": "True" }, { "q": "Let f = -46751 - -71205. Is f a composite number?", "a": "True" }, { "q": "Is (0 - (-14)/(-70))*-89165 prime?", "a": "False" }, { "q": "Suppose l = -i - 0*l + 972, 2*i = -5*l + 1929. Suppose -i = -k + 2*j, k + 3*j = -2*j + 1005. Is k composite?", "a": "True" }, { "q": "Suppose 0 = 9*v - v - 16. Let g be 41884/(-14) + v/(-7). Let w = 4787 + g. Is w composite?", "a": "True" }, { "q": "Let k(t) = -3514*t**3 - 2*t**2 + 17*t + 47. Is k(-2) composite?", "a": "True" }, { "q": "Let r be 8/(-28) + 2/7 + -1. Let d = r - 4. Is ((-4)/6)/(d/(30540/8)) a prime number?", "a": "True" }, { "q": "Suppose 5*i + 39649 = 3*k, -3*i + 2 = 17. Let d = k - 7893. Is d a prime number?", "a": "False" }, { "q": "Suppose -2*x - 5*d + 178 = 0, -8*x + 12*x - 324 = -2*d. Suppose -i + 2*i - 54 = 0. Let m = i + x. Is m prime?", "a": "False" }, { "q": "Let s(o) = -o**2 - 4*o - 2. Let y be s(-4). Let h be 67979/9 - y/(-9). Suppose -5*p = 4*f - h, -f - 1515 = -p - 4*f. Is p a prime number?", "a": "False" }, { "q": "Suppose 4*a - 62 = -86. Is ((-40270)/(-4))/((-3)/a) a composite number?", "a": "True" }, { "q": "Is (-499062)/(-2) + 8*(42/(-24) - -2) a composite number?", "a": "False" }, { "q": "Suppose -4*m - 4*x = -3906 - 3458, -2*x + 1839 = m. Let y = m - 526. Is y composite?", "a": "True" }, { "q": "Suppose -q = 0, -4*w - 2*q + 7*q = -3940. Suppose -16 = 4*h, -w = -y - 4*h + 667. Suppose 6*d = g + 3*d - 548, -3*g + d = -y. Is g a prime number?", "a": "True" }, { "q": "Is (6/(-2))/((-84)/178892) prime?", "a": "True" }, { "q": "Let u = -3956 + 46770. Is u prime?", "a": "False" }, { "q": "Is 24/18*6/10 - 133001/(-55) prime?", "a": "False" }, { "q": "Let u be (-2)/3*(-16 - -13). Suppose 0 = u*x + 819 - 3799. Suppose 0 = -0*m + 2*m - x. Is m composite?", "a": "True" }, { "q": "Let a = -1155 - -1953. Let d = a + -319. Suppose 3*r - d = 2*r. Is r composite?", "a": "False" }, { "q": "Suppose -5 + 2 = m. Let j be (182 + -4)/(5 + m). Suppose -w + 22 = -j. Is w prime?", "a": "False" }, { "q": "Let w(m) = 159*m**3 + 4*m**2 - 6*m + 2. Let b be (2 - -1) + (0 - 5) + 3. Is w(b) a composite number?", "a": "True" }, { "q": "Is (-21)/28 + 1/((-8)/(-2412670)) a composite number?", "a": "False" }, { "q": "Let s(k) = -k**2 + 5*k - 1. Let f be s(3). Suppose -3*b = c + b - 6221, -4*b = -f*c + 31177. Is c a prime number?", "a": "False" }, { "q": "Suppose -81544 = -43*u + 8754483. Is u a prime number?", "a": "False" }, { "q": "Let i = 248 + -139. Let x = -76 + i. Is x a composite number?", "a": "True" }, { "q": "Suppose 0 = 356*u - 308*u - 2826672. Is u a composite number?", "a": "False" }, { "q": "Let j(n) = 32*n. Let h(d) = d - 1. Let r(q) = 3*h(q) - j(q). Let a be r(-7). Suppose 0 = 5*u + 5*l - a, 4*l = u + l - 36. Is u prime?", "a": "False" }, { "q": "Suppose 1093700 = 11*z + 39*z. Is z a composite number?", "a": "True" }, { "q": "Let w(s) = -40*s**3 + 12*s**2 + 29*s + 6. Is w(-7) a prime number?", "a": "False" }, { "q": "Let t(b) = -b**2 - 2*b + 3. Let z be t(1). Suppose z = -5*q + 566 + 899. Is q a composite number?", "a": "False" }, { "q": "Let c be -20 + 1/(-9) + 140/45. Let i(l) = 15*l**2 - 25*l - 31. Is i(c) prime?", "a": "True" }, { "q": "Suppose -5*h - 5 = 5*z, 0*z - 4*h = 2*z - 2. Let x be -2*(2 - (6 + z)). Is ((-254)/5)/(-3*x/30) a composite number?", "a": "True" }, { "q": "Let a = 559 - 936. Let o = 1830 + -730. Let k = o + a. Is k a prime number?", "a": "False" }, { "q": "Suppose -3*c - 17 = -4*b, 11*b - 15*b - 2*c + 2 = 0. Suppose -b*i = -i - 3353. Is i prime?", "a": "False" }, { "q": "Suppose 28 = 2*b + 2*b - 2*j, 2*b = -2*j + 20. Suppose 0 = -t - 2*q + 2747, 6*q - b*q + 13735 = 5*t. Is t a prime number?", "a": "False" }, { "q": "Let y = 45 - 42. Suppose -2*c - y = -7. Suppose -180 = -2*f + c. Is f a composite number?", "a": "True" }, { "q": "Let s(f) = -2*f + 76. Let q be s(27). Let t(v) = 47*v - 139. Is t(q) a composite number?", "a": "True" }, { "q": "Let b(n) = 3*n - 13. Let a be b(5). Suppose a*v - 94 - 8 = 4*m, 5*v - 207 = -2*m. Let y = v - 28. Is y a composite number?", "a": "True" }, { "q": "Suppose 5*s - 51 = 2*d, 2*s + 42 = -4*d - 0*s. Let w be (-17574)/d + 18/117. Suppose 3983 - w = 3*q. Is q composite?", "a": "False" }, { "q": "Let u(w) = -3*w**3 + 2*w**2 - 3*w + 1. Let a be u(1). Is (a/((-18)/4))/((-10)/(-4845)) composite?", "a": "True" }, { "q": "Let q(p) = -337*p**3 + 15*p**2 - 23*p - 7. Is q(-12) prime?", "a": "False" }, { "q": "Is (-226515)/(-4)*(-368)/(-276) composite?", "a": "True" }, { "q": "Is 5 + -18 - -10 - (7*-21610 + 0) a prime number?", "a": "False" }, { "q": "Let f be 3/6 + (-2046)/(-4). Let q(s) = -84*s + 673. Let y be q(12). Let k = f + y. Is k a composite number?", "a": "True" }, { "q": "Let k(g) = -2*g**2 - 66*g - 33. Let q be k(-20). Let x = 1832 - q. Is x prime?", "a": "False" }, { "q": "Suppose 0 = -5*z - 4*q - 46, -2*z - 5*q = 39 - 7. Is -226*((-9)/z + -3) prime?", "a": "False" }, { "q": "Suppose -5*z - 6 = 14, -3*o + 5*z = 1243. Let u = -238 - o. Is u a composite number?", "a": "True" }, { "q": "Suppose 0 = -3*j - l + 19, -2*j + 5*j + 2*l = 23. Suppose 8*t - 6 = j*t, -4*g = t - 3574. Is g prime?", "a": "False" }, { "q": "Suppose 2*s = -2*s + 4. Let g be (s - 5)*2/(-4). Suppose -2*p - g*p = 2*f - 3782, -f + 1876 = 5*p. Is f a composite number?", "a": "False" }, { "q": "Let p be 28/21 + 22/6. Is 4/(-3 + p) + 867 a prime number?", "a": "False" }, { "q": "Let y(i) = -12*i + 7. Let g be y(0). Suppose -14172 = -4*u + 3*r, -g*r = -5*u - 3*r + 17715. Is u a composite number?", "a": "True" }, { "q": "Let r = 7493 + 1676. Is r composite?", "a": "True" }, { "q": "Is (-6 - -11) + (-1996708)/(-4) + -5 - -4 a prime number?", "a": "True" }, { "q": "Let q be (-33 - 9) + 4/((-2)/(-1)). Is (99420/q)/((-6)/4) prime?", "a": "True" }, { "q": "Suppose -2*c + 5*w - 15 = 0, -2*w = -3*c - 2*c + 15. Suppose c*u - 15135 = -0*u. Suppose y + u = 4*y. Is y a prime number?", "a": "True" }, { "q": "Is ((-103382)/(-5))/((-30)/175 - (-40)/70) prime?", "a": "True" }, { "q": "Suppose 0 = 2*g - 10 + 2. Suppose -5*n - g*j = -12617, -n + 2536 = j + 4*j. Is n composite?", "a": "False" }, { "q": "Let r be 0*2/8 - 0. Suppose -u = 0, r = -6*k + 2*k - 2*u. Suppose -3*f + 3579 = -k*f. Is f a composite number?", "a": "False" }, { "q": "Suppose 4*l = -3*x + 39 + 30, 0 = -5*x + 2*l + 141. Is 0 - (-9)/(x/(-12)) - -891 a prime number?", "a": "True" }, { "q": "Suppose 3*m = 3*k - 6 + 39, 5*m = 3*k + 47. Suppose -m*q = -8*q + 1361. Is q prime?", "a": "True" }, { "q": "Suppose 12 = -5*x + x, 9 = 4*q - 3*x. Suppose 3*i - 484 + 10 = q. Suppose -i - 447 = -5*v. Is v composite?", "a": "True" }, { "q": "Let o be 20/(-6)*144/32. Is 1524 - o/(15/3) a composite number?", "a": "True" }, { "q": "Suppose 35*d = 34*d + 21412. Suppose 12844 = 3*c - y, d = 5*c - 7*y + 8*y. Is c a prime number?", "a": "False" }, { "q": "Let k(r) = 2*r**3 + 5*r**2 - 5*r + 6. Let g be k(4). Suppose d + 125 = -g. Let j = d - -820. Is j prime?", "a": "False" }, { "q": "Suppose 2*n = -t + 5, -2*t = -0*n - 4*n + 22. Suppose n*c - 5*c + 7 = 0. Suppose 1 = -3*k + c, -4*v + 2902 = 5*k. Is v composite?", "a": "True" }, { "q": "Suppose 4*s = 2*s + 10. Suppose 0 = 38*j - 43*j + s. Is (-9 - 1745)*j/(-2) a prime number?", "a": "True" }, { "q": "Let o = -14 - -40. Suppose -3*c + 14 = -2*d, 3*d + o = 5*c - d. Suppose 0 = -2*p - p - c*m + 769, 2*p = -4*m + 510. Is p composite?", "a": "False" }, { "q": "Let t(v) = 11159*v**2 - v - 5. Is t(-2) a composite number?", "a": "False" }, { "q": "Let m(y) be the second derivative of 811*y**4/2 - 2*y**3/3 - y**2/2 - 69*y. Is m(1) a composite number?", "a": "False" }, { "q": "Let a(z) = z**2 - 3*z - 3. Let j be a(6). Let c(u) = u**3 - 15*u**2 - 8*u - 9. Let g be c(j). Let q = -82 - g. Is q a prime number?", "a": "True" }, { "q": "Suppose 5*z - 96*o = -93*o + 187430, 4*z + 3*o = 149971. Is z a composite number?", "a": "False" }, { "q": "Suppose 0 = -3*t, -13*k + 5 = -14*k - 5*t. Is ((-12333)/6)/(k/10) a prime number?", "a": "True" }, { "q": "Let r = 95745 - -25704. Is r prime?", "a": "False" }, { "q": "Let o(c) = 529*c**3 + 9*c**2 - 12*c + 3. Is o(5) a composite number?", "a": "False" }, { "q": "Let i be 14/2 + 3/(-3). Suppose -7*k = -i*k - 5. Suppose -c + 3*x = -3*c + 100, -k*x = -3*c + 169. Is c composite?", "a": "False" }, { "q": "Let b be (16*171 + -3)*1. Suppose 2*i + x = b, -1344 = -i + 2*x + 20. Suppose -9*r + 7*r = -i. Is r a composite number?", "a": "False" }, { "q": "Suppose -34104 - 107451 = -3*q + 111252. Is q prime?", "a": "False" }, { "q": "Let r(y) = 135*y + 32. Let o be r(10). Let b = o - 523. Is b composite?", "a": "False" }, { "q": "Let h be 3 + (-3 + 3 - (-3016 + 2)). Let z = -1891 + h. Is z prime?", "a": "False" }, { "q": "Let g(k) = 56*k + 5. Let x be g(-2). Let c = x + -134. Let n = c + 1380. Is n prime?", "a": "False" }, { "q": "Let j = 80 + -74. Let s(d) be the first derivative of 52*d**3/3 + 4*d**2 - 5*d + 2. Is s(j) a prime number?", "a": "False" }, { "q": "Let f = 675022 - 472245. Is f a prime number?", "a": "True" }, { "q": "Suppose 1 = -a + 3*k + 6, 2*a = -2*k + 2. Suppose -20 = -a*o + 32. Is (-64479)/(-17) - o/(-221) a composite number?", "a": "False" }, { "q": "Let s(h) = 29*h**2 - 3*h + 7. Let c = 18 - 16. Suppose -2*p + c*a = -6, 5*p + 0*p + 2*a = 15. Is s(p) a prime number?", "a": "False" }, { "q": "Suppose -4*o + 16 = 0, -50*u - 3*o = -47*u - 145491. Is u a prime number?", "a": "False" }, { "q": "Let c = -5923 - -8787. Let h = c - 1717. Is h a prime number?", "a": "False" }, { "q": "Suppose 20 = 6*k - k. Let v be 10775 + (k - 4)/1. Suppose v = 2*p + 3*p. Is p prime?", "a": "False" }, { "q": "Let o(c) = 2582*c**2 - 12*c + 11. Suppose -2*n - 4*i + 10 = 0, -2 = 3*n - 2*i - 1. Is o(n) a prime number?", "a": "False" }, { "q": "Is (-72253)/(-7) + 72/(-84) a composite number?", "a": "False" }, { "q": "Let c(y) = -8 + 8*y**2 + 13*y - 9*y + 15*y. Let p be c(-7). Suppose -7*l + 1086 = -p. Is l composite?", "a": "False" }, { "q": "Let j(g) = 3645*g - 758. Is j(5) a prime number?", "a": "True" }, { "q": "Is (562/(-3))/(7/(118650/(-20))) + -6 a prime number?", "a": "True" }, { "q": "Is ((-37984)/(-12) + 2)*45/6 a composite number?", "a": "True" }, { "q": "Let b(z) = 4*z + 815. Let w be b(0). Suppose -5*n = -w - 2350. Is n a prime number?", "a": "False" }, { "q": "Let w = -26 + 8. Let f = 22 + w. Let y(g) = 2*g**2 - 6*g - 2. Is y(f) prime?", "a": "False" }, { "q": "Suppose 61*o - 10*o - 68267 = 71932. Is o a composite number?", "a": "False" }, { "q": "Let k = -63813 - -100020. Suppose 0*c + k = 5*t + 2*c, -14484 = -2*t - 2*c. Is t composite?", "a": "True" }, { "q": "Let y = 6 + -1. Suppose -y*o + 2*m = -1053, -m - 95 = -2*o + 326. Is o composite?", "a": "False" }, { "q": "Let y(k) = -5*k**2 + 4*k + 9. Let d be y(9). Suppose 15*o - 13*o + 172 = 0. Let h = o - d. Is h prime?", "a": "False" }, { "q": "Suppose 0 = 5*a - 2692 - 3978. Is (-51)/(-119) - a/(-7) composite?", "a": "False" }, { "q": "Suppose 3*m - 3 = 2*m, -4*m + 32 = -4*s. Is s - (-5 - -1) - -1080 prime?", "a": "False" }, { "q": "Let r = 8396 - 4577. Is 8/2 + (r - 2) composite?", "a": "False" }, { "q": "Suppose 11666 = y + y + 4*z, y = 4*z + 5845. Suppose c - y = -12*c. Is c composite?", "a": "False" }, { "q": "Let c = -4700 + 20830. Suppose c = -11*z + 53013. Is z prime?", "a": "False" }, { "q": "Let r = -3 - -4. Let h(m) be the second derivative of 785*m**4/12 + m**3/6 + m**2/2 - 2*m - 644. Is h(r) a composite number?", "a": "False" }, { "q": "Let o(b) = 3*b**3 - 49*b**2 - 2*b - 43. Is o(27) composite?", "a": "True" }, { "q": "Let t be ((-141)/(-6) + -1)*12/(-15). Let r(j) = -j**2 - 7*j + 7. Let v be r(-8). Is (-5283)/t*3*(1 - v) a composite number?", "a": "True" }, { "q": "Is ((-94884)/30)/(94/(-10) - -9) a prime number?", "a": "True" }, { "q": "Let f = -65422 + 104375. Is f composite?", "a": "False" }, { "q": "Let s(u) = 32*u**2 - 4*u + 1. Let c = 177 - 168. Is s(c) a composite number?", "a": "False" }, { "q": "Let d = 246 - 430. Let s = 295 + d. Is s prime?", "a": "False" }, { "q": "Let k = -108373 - -153302. Is k composite?", "a": "True" }, { "q": "Let b = -211 + 151. Is (3 + -1)*(-142230)/b a prime number?", "a": "False" }, { "q": "Let k(m) = -6*m - 35. Let q be k(-6). Is -6 + 60 + q/(-1) a prime number?", "a": "True" }, { "q": "Suppose -13*p + 15*p = 6. Suppose -6 = 3*r - p*t, t + 0*t - 2 = 4*r. Suppose -2*n + 5*n - 209 = q, -n + 4*q + 55 = r. Is n composite?", "a": "False" }, { "q": "Let j = 2 + 0. Suppose 5*c + 21 = 3*u, -u - 21 = -7*c + 10*c. Is -3 + (-1287)/c + (-1)/j composite?", "a": "False" }, { "q": "Suppose -5*b - 3*q = -148040, -3*b + 15*q = 13*q - 88843. Is b a prime number?", "a": "True" }, { "q": "Let w(i) = -i**3 - 7*i**2 - i + 14. Let n be w(12). Let b = -1235 - n. Is b composite?", "a": "False" }, { "q": "Let d(q) = 155*q**2 + 287*q + 53. Is d(-28) composite?", "a": "False" }, { "q": "Suppose -j = -5*w - 22, -2*j = 2*w + 2*j. Let t(y) = -7*y + 2*y + 17 - 6. Is t(w) composite?", "a": "False" }, { "q": "Let d(u) = -u**2 - 7*u - 8. Suppose 6*v - 8 = 3*z + v, 3*z + 12 = 3*v. Let m be d(z). Let k = m - -8. Is k a prime number?", "a": "False" }, { "q": "Let y(c) = 443*c**2 - 36*c + 33. Is y(-8) a composite number?", "a": "True" }, { "q": "Let b = -27 + 33. Let h = 13 + -10. Suppose -3*f = t - 541, 0 = 3*t + b*f - h*f - 1617. Is t prime?", "a": "False" }, { "q": "Let s(d) = -1706*d - 6. Let l(o) = 853*o + 3. Let i(c) = 9*l(c) + 4*s(c). Let m(v) = 427*v + 2. Let z(t) = 6*i(t) - 11*m(t). Is z(2) a composite number?", "a": "True" }, { "q": "Let t be 39/(-13) - 756/(-2 + 4). Let c = t - -594. Is c a composite number?", "a": "True" }, { "q": "Is (-60)/(-150) - (6/33 - 18822009/165) a composite number?", "a": "False" }, { "q": "Suppose 5*g = -5*h + 4*h - 409, -4*h + 4 = 0. Let y be g/4 - (2/4 + -1). Is (-31545)/y + (9/(-3))/12 a composite number?", "a": "True" }, { "q": "Suppose 0 = f + 3*f - 64. Let c be ((-10500)/(-22))/(-5) - (-72)/(-132). Is 12/c - (-2866)/f prime?", "a": "True" }, { "q": "Let f(p) = 3*p**2 - 20*p + 22. Let q(x) = 7*x**2 - 40*x + 44. Let h = -38 + 33. Let n(y) = h*f(y) + 2*q(y). Is n(18) prime?", "a": "False" }, { "q": "Let u be (2/1 - 1)*-21. Is (-280)/u*1*24 + 3 a prime number?", "a": "False" }, { "q": "Suppose 3*y + m + 3 = -4, -2*y + 7 = 3*m. Let z(t) = -150*t - 7. Let k be z(y). Let i = -286 + k. Is i prime?", "a": "True" }, { "q": "Suppose -8419 = -r - 3*d, 0 = 102*d - 100*d. Is r composite?", "a": "False" }, { "q": "Let p = 83 + -75. Is p/6 - (-7)/(210/81650) prime?", "a": "False" }, { "q": "Let o(j) = -366*j**3 + 4*j**2 + 15*j + 87. Is o(-4) a composite number?", "a": "True" }, { "q": "Let w(a) = 111*a**2 + 45*a - 1081. Is w(30) composite?", "a": "False" }, { "q": "Let t be 13032/10 - (-6 - (-31)/5). Let g = -84 + t. Is g a prime number?", "a": "False" }, { "q": "Suppose -5*n = l - 40, 5*n - 11 - 29 = l. Suppose 0 = -2*r - 5*a + 2717, -4*r + 5006 = -2*a - 464. Suppose 6*v + r = n*v. Is v composite?", "a": "False" }, { "q": "Let r = -120504 - -226631. Is r a composite number?", "a": "True" }, { "q": "Is (2485 + 18)*37/3*3*1 a composite number?", "a": "True" }, { "q": "Let w = -163 + 165. Suppose w*o = -2*r + 16566, -8*r + 33168 = -4*r - 5*o. Is r prime?", "a": "True" }, { "q": "Let c = 60 + -60. Suppose -13*d + 2048 + 26591 = c. Is d prime?", "a": "True" }, { "q": "Let k = -6140 - -15667. Is k prime?", "a": "False" }, { "q": "Let s(q) = 57722*q - 379. Is s(3) a composite number?", "a": "False" }, { "q": "Let s = -90122 + 222057. Is s prime?", "a": "False" }, { "q": "Suppose -5*i + 211780 = -4*c - 104405, 2*i = -5*c + 126507. Is i composite?", "a": "False" }, { "q": "Suppose 0 = 3*a + 2*g + 48, 4*a + 80 = -a + 5*g. Let z(w) = 2*w**3 + 33*w**2 - 2*w + 5. Is z(a) a composite number?", "a": "False" }, { "q": "Suppose 5*l - 8*l - 2*b + 375981 = 0, 5*l = 3*b + 626654. Is l a composite number?", "a": "False" }, { "q": "Suppose 31*d - 1901527 = 774052. Is d prime?", "a": "False" }, { "q": "Let i(u) be the third derivative of -55*u**4/24 + 41*u**3/3 - 24*u**2 + u. Is i(-15) a composite number?", "a": "False" }, { "q": "Let j(t) = -217*t - 9. Let x(d) = 108*d + 4. Let z(u) = -3*j(u) - 7*x(u). Let i be (1 + 3)/(-28 + 26). Is z(i) a prime number?", "a": "False" }, { "q": "Let t be (-1)/(3*6/37836). Is (3 - 18)/5 - t a composite number?", "a": "False" }, { "q": "Is (4 - 3)*513303/6 - (-3)/(-2) a composite number?", "a": "False" }, { "q": "Suppose -30 = 4*a - 5*g, -2*a - 18 = -0*a - 4*g. Let j(o) = o - 3*o - 3*o + 14*o**2 + 2. Is j(a) prime?", "a": "False" }, { "q": "Let w be (-124)/(-93)*66/4. Let c = w + 0. Is c prime?", "a": "False" }, { "q": "Let s(q) = 12*q**3 - 2*q**2 + 4*q + 7. Suppose 0 = 4*w - 3*f - 25, -3*w + 4*f = w - 28. Suppose 14 = 2*u + w. Is s(u) prime?", "a": "False" }, { "q": "Suppose 895 + 425 = 5*w. Is w/66 + 11031*1 + 0 a prime number?", "a": "False" }, { "q": "Let y(r) be the first derivative of -289*r**3/6 - 5*r**2/2 + 9*r - 18. Let w(g) be the first derivative of y(g). Is w(-2) a prime number?", "a": "False" }, { "q": "Let p = -221060 - -352007. Is p a prime number?", "a": "False" }, { "q": "Suppose -25*l + 109065 = 18908 - 160368. Is l prime?", "a": "False" }, { "q": "Let v = -127 - -3196. Suppose 3*p = 9, 0 = 4*w - 7*p + 2*p - v. Is w a prime number?", "a": "False" }, { "q": "Let b be 1/3 - (16/(-6) + 1). Suppose 12 = 5*z - p - 10, z = b*p + 8. Is -178*z/6*6/(-8) prime?", "a": "True" }, { "q": "Suppose -684 = -4*b - 2*l + l, -4*l - 324 = -2*b. Let x be (-8)/(-14) - b/(-28)*48. Suppose i - x = -5*a, -3*a = 2*a - 5*i - 310. Is a a composite number?", "a": "False" }, { "q": "Let v = 5653 + -1776. Suppose 2*l + 0*w - 5*w = 7754, -4*w + v = l. Is l composite?", "a": "False" }, { "q": "Let k = -16650 + 42733. Is k composite?", "a": "False" }, { "q": "Let t = 17275 - -17182. Is t a composite number?", "a": "False" }, { "q": "Suppose 0 = 2*x - 1821 + 1643. Is x a prime number?", "a": "True" }, { "q": "Let q(a) = 2*a**2 - 165*a - 526. Is q(-73) a prime number?", "a": "False" }, { "q": "Suppose -4*o + 3771 = -3*o. Suppose 3*z = 2*c - 6244 - 1271, 3*z - o = -c. Suppose 3*u - 3*i - c = 0, 0 = -3*u + 2*i + 824 + 2933. Is u a prime number?", "a": "True" }, { "q": "Let l be -8*(7/12 + 9/54). Is 30/l + 3 + 276 prime?", "a": "False" }, { "q": "Let f be 2/((-8)/20)*-1. Suppose 5*r + 5*l = -0*l + 10, -5*l = f. Suppose -4*g + 2684 = -4*d, r*d + 0*d = -2*g + 1342. Is g a composite number?", "a": "True" }, { "q": "Suppose 81*s - 415398 - 1310894 = -237107. Is s prime?", "a": "False" }, { "q": "Let p(x) = 12*x**2 - x - 14. Let o be p(5). Let h = -33 - o. Is ((-3)/(12/h))/(2/4) a composite number?", "a": "False" }, { "q": "Suppose -8*j + 27530 = 2*j. Is ((-1)/(-5) - (-42)/(-10)) + j a prime number?", "a": "True" }, { "q": "Suppose 1478*c - 1066769 = 1467*c. Is c a composite number?", "a": "False" }, { "q": "Suppose -3*j + p + 809821 = 0, -3*p + p - 539886 = -2*j. Is j a prime number?", "a": "True" }, { "q": "Suppose 0 = -124*f + 97*f + 404217. Is f a composite number?", "a": "True" }, { "q": "Let n = 46457 - 31891. Is n a composite number?", "a": "True" }, { "q": "Suppose d - 5*v + 14456 = 3*d, -4*d = -3*v - 28938. Is d a prime number?", "a": "False" }, { "q": "Suppose 0 = 3*h + 4*m + 22, 2*m + 2*m = -16. Is (-2)/(2/h + 4221/4227) prime?", "a": "True" }, { "q": "Let m(k) = 17*k**3 + k**2 + 28*k - 135. Is m(13) prime?", "a": "True" }, { "q": "Suppose -1792 - 28891 = -5*v + 2*r, 0 = 2*r - 2. Let h = -3846 + v. Is h a composite number?", "a": "True" }, { "q": "Let x be 32/20*405/18. Let h = 110 - -89. Let w = x + h. Is w a prime number?", "a": "False" }, { "q": "Suppose -a = 2*x + 45, x - 33 = 4*a + 156. Let o = a - -75. Suppose -204 - o = -4*f. Is f a composite number?", "a": "True" }, { "q": "Is 6/(270/4745215) - (-22)/(-99) a composite number?", "a": "False" }, { "q": "Let y(j) be the first derivative of 349*j**3/3 + j - 1027. Let s be (1 - 2)/(-1) - 3. Is y(s) a prime number?", "a": "False" }, { "q": "Let t(p) = 718*p + 77. Is t(38) a prime number?", "a": "True" }, { "q": "Suppose -26*g - 54*g = -597040. Is g a prime number?", "a": "False" }, { "q": "Let b = 22574 + -2803. Is b composite?", "a": "True" }, { "q": "Let u(d) = 248*d**2 + 6*d - 6. Let b be u(2). Suppose 5*y = -2*m + 512, 4*y + b = 4*m + y. Is m prime?", "a": "True" }, { "q": "Suppose -274*w = -278*w + 2*d + 9930, -w = -2*d - 2481. Is w a composite number?", "a": "True" }, { "q": "Let o = 60752 - -65963. Is o composite?", "a": "True" }, { "q": "Let u(w) = 30*w**3 + 4*w**2 + 9*w - 3. Is u(7) prime?", "a": "False" }, { "q": "Is -2 + (-15)/(-7) - (18346922/(-154) - -19) a prime number?", "a": "False" }, { "q": "Suppose 0 = -20*i + 7770 - 24930. Let t = i - -1477. Is t composite?", "a": "False" }, { "q": "Let k(d) = 34*d**2 - 2*d + 9. Let a be (184/(-168) + 6/14)*-6. Is k(a) a composite number?", "a": "True" }, { "q": "Let v = 219906 + -56971. Is v a prime number?", "a": "False" }, { "q": "Let q be (-770)/(-44)*(-6)/(-7). Let w = -54 + 22. Let l = q - w. Is l composite?", "a": "False" }, { "q": "Suppose -3*w - b = 1495, -4*b + 0*b = 3*w + 1480. Let q = w - -837. Let s = q - 182. Is s prime?", "a": "False" }, { "q": "Is (-2544)/(-212) - (-23925 - 1) a composite number?", "a": "True" }, { "q": "Let x(h) = 7796*h**2 + 62*h + 127. Is x(-2) prime?", "a": "False" }, { "q": "Suppose 205958 + 5174857 + 2392188 = 189*s. Is s prime?", "a": "False" }, { "q": "Let j(m) be the third derivative of -m**6/120 - 8*m**5/15 - 35*m**4/24 - 35*m**3/6 - 28*m**2. Is j(-31) a composite number?", "a": "False" }, { "q": "Suppose 6*f + 7505 = -6211. Is (f/12)/3*-2 prime?", "a": "True" }, { "q": "Let u be (-4)/6*(-2514)/2. Let s = 4629 - u. Is s composite?", "a": "True" }, { "q": "Let x be ((-3)/(45/(-28790)) + -1)*3. Suppose 201*k - 196*k = x. Is k prime?", "a": "True" }, { "q": "Let h be ((-2)/4)/((-11)/(-44)). Is (1 - h)/(((-6)/(-2963))/2) prime?", "a": "True" }, { "q": "Let w(f) be the first derivative of 23*f**2/2 + 6*f + 61. Is w(17) a composite number?", "a": "False" }, { "q": "Let f(i) = -i**3 + i**2 + 7*i - 8. Let z be f(-6). Let p = z - 120. Is p a composite number?", "a": "True" }, { "q": "Suppose -k = 3*k - 4*z + 12, 0 = -4*k - 5*z + 6. Let i be -3 + 305 - (k - 0). Let g = i - 160. Is g prime?", "a": "False" }, { "q": "Let q = 8 + -6. Suppose -2*r + 91 = 3*r + q*b, -b + 54 = 3*r. Suppose r*w - 217 = 16*w. Is w prime?", "a": "False" }, { "q": "Suppose -5*f = 29*q - 26*q - 785020, -2*f + 3*q = -314029. Is f a composite number?", "a": "False" }, { "q": "Suppose -18 - 6 = s. Let w be (-1 + 6)*(-22 - s). Suppose 3*u + 3148 = 4*x + 839, -w = -2*u. Is x composite?", "a": "True" }, { "q": "Let q = -24298 + 44319. Is q a composite number?", "a": "False" }, { "q": "Let n = -48916 - -81837. Is n prime?", "a": "False" }, { "q": "Suppose -4*n - 2*y + 10110 = 0, -n + 6*n - 5*y = 12675. Let j = 1139 + n. Is j composite?", "a": "True" }, { "q": "Is ((-28040832)/(-45))/16 + 3/(-5) a composite number?", "a": "True" }, { "q": "Suppose -3 = -4*o - m, 4 = -o - 5*m + 19. Suppose -6*k - 2130 = -o*k. Let d = k - -726. Is d a prime number?", "a": "False" }, { "q": "Let g = -126272 - -224029. Is g a composite number?", "a": "True" }, { "q": "Suppose f - j - 3700 = 0, 5*f - 14800 = f + 2*j. Let t = -1798 + f. Let c = -1144 + t. Is c composite?", "a": "True" }, { "q": "Is 1 + 28893 + 91/13*1 a prime number?", "a": "True" }, { "q": "Suppose 4*c - 12 = -2*f, f + 6 = 5*c - f. Suppose 5*h - 378 = 2*p + c*p, -226 = -3*h + 2*p. Suppose 8*v - 6*v = h. Is v a prime number?", "a": "True" }, { "q": "Let c(o) = -49 + 281*o + 109*o + 56*o - 46*o. Is c(3) prime?", "a": "True" }, { "q": "Let s(w) = -w**2 + 9*w - 9. Let a be s(7). Suppose -329 + 3664 = a*v. Is v a prime number?", "a": "False" }, { "q": "Suppose 9*w = 17*w. Suppose 27*x - 30*x + 10941 = w. Is x composite?", "a": "True" }, { "q": "Let f be (144/40)/(4/50). Let l = 45 - f. Suppose 4*t - 1456 + 452 = l. Is t a composite number?", "a": "False" }, { "q": "Let w(h) = 4*h**2 + 12*h + 102. Is w(-40) a prime number?", "a": "False" }, { "q": "Let d(k) = 1476*k**2 - 4*k - 6. Let p(n) = n**2 - n - 1. Let m(x) = d(x) - 3*p(x). Is m(-2) prime?", "a": "False" }, { "q": "Suppose 6*i - 7 = 13*i. Let x be i + -1 + 0 - 12/(-2). Suppose -x*v + 258 + 306 = 0. Is v prime?", "a": "False" }, { "q": "Let x = 291097 + -207446. Is x composite?", "a": "True" }, { "q": "Let n be (-3)/(-6)*-1*-96. Suppose 0*a + 8*a = n. Suppose -a*y + 1564 = -2*y. Is y prime?", "a": "False" }, { "q": "Let u = 20 + -25. Let h be 2 + 7/u + (-7)/(-5). Is 262*h + (-3 - 0) a composite number?", "a": "False" }, { "q": "Let x(w) = 734*w + 3. Let y be -9*15/(-9)*6/45. Is x(y) a prime number?", "a": "True" }, { "q": "Suppose -103 = 2*j - 89. Let c(r) = -4*r**3 + 2*r**2 - 31. Is c(j) prime?", "a": "True" }, { "q": "Let l(k) = -290*k**3 + 7*k**2 - 17*k - 94. Is l(-7) a composite number?", "a": "True" }, { "q": "Let o = 12835 + -2970. Is o composite?", "a": "True" }, { "q": "Let n = -2237 + 5670. Is n a composite number?", "a": "False" }, { "q": "Let z = 372 + -1102. Let d = -497 - z. Is d prime?", "a": "True" }, { "q": "Suppose -3*a + 5*y + 125177 = 0, -45*a + 83456 = -43*a - y. Is a composite?", "a": "False" }, { "q": "Let w(n) = 5*n**3 + n**2 + n - 18. Let v be w(7). Let c = v - 282. Is c a prime number?", "a": "True" }, { "q": "Let c = 860083 - 328752. Is c a prime number?", "a": "True" }, { "q": "Let w = 45 - 35. Let h = w - 10. Suppose 2*c - 335 - 503 = h. Is c a composite number?", "a": "False" }, { "q": "Is ((-958)/12 + -2)/((-13)/4758) a prime number?", "a": "False" }, { "q": "Suppose 0 = 3*b - 15 + 6. Let i(q) = -30*q**2 + q + 127 + 31*q**2 + 2*q**3 + 436 - b*q**3. Is i(0) a composite number?", "a": "False" }, { "q": "Let p(i) = i**3 - 4*i**2 - 3*i - 12. Let m be p(5). Let h be ((-2)/(-5))/(m/(-490)). Let g = 169 - h. Is g a composite number?", "a": "False" }, { "q": "Is (6 + 30948 - -8)/(2 + 0) a prime number?", "a": "False" }, { "q": "Let c(j) = j**2 - 4*j + 19. Let h be c(0). Let g = -16 + h. Suppose g*t = 8*t - 170. Is t prime?", "a": "False" }, { "q": "Suppose -52*m + 50*m - 98180 = -2*y, 5*y - 245426 = -3*m. Is y composite?", "a": "True" }, { "q": "Let v = -43173 + 73660. Is v a prime number?", "a": "False" }, { "q": "Let h = -119 - -121. Is -3*h + 3 - -1477 - 3 prime?", "a": "True" }, { "q": "Let z = -147992 - -478749. Is z prime?", "a": "False" }, { "q": "Let g(h) = 0*h - 28*h + 136*h - 1 - 4*h. Is g(4) a composite number?", "a": "True" }, { "q": "Let q(y) = 3*y**2 - 46*y + 211. Is q(66) prime?", "a": "True" }, { "q": "Suppose -3*q + 96546 = -5*y, 3*y - 34 = -43. Is q composite?", "a": "True" }, { "q": "Let m = 54 + -51. Let u(b) = 59*b**2 + 2*b - 4. Is u(m) a prime number?", "a": "False" }, { "q": "Let p(o) be the third derivative of 17*o**7/1680 + o**6/360 + 7*o**5/30 + 8*o**2. Let m(k) be the third derivative of p(k). Is m(5) a composite number?", "a": "False" }, { "q": "Let m(r) = 16*r**2 - 9*r - 1. Suppose z - 5*k + 7 + 1 = 0, -2*k + 41 = 5*z. Suppose z = -d + 13. Is m(d) prime?", "a": "True" }, { "q": "Suppose -1 = m - 3*w - 2*w, -3*m = -5*w - 37. Suppose -2*x + 5*c = -m, -4*c - 18 = -x - 1. Is ((-201)/9*-3)/(x/(-21)) prime?", "a": "False" }, { "q": "Suppose 3*w - w = 0. Let q be (5 - 5 - (w - 4))*-167. Let f = q - -1281. Is f composite?", "a": "False" }, { "q": "Suppose 0 = 8*q - 4*q - 20. Suppose -9 = q*x + 1. Is 212 + (x/6)/(2/6) composite?", "a": "False" }, { "q": "Let s be 564/48 - (-1)/4. Suppose -11*w + s*w = 122. Let j = 453 - w. Is j prime?", "a": "True" }, { "q": "Let z(b) be the third derivative of 73*b**5/20 - 7*b**4/24 - 3*b**3/2 - b**2 + 8. Is z(-3) a prime number?", "a": "False" }, { "q": "Let k(q) be the second derivative of -q**5/20 + 5*q**4/12 + 7*q**3/6 - 3*q**2/2 + 8*q. Let m be k(6). Is (-508)/(-8)*(m - 1) a prime number?", "a": "True" }, { "q": "Let j(x) = x**3 + x**2 + 11. Let k = 31 + -31. Let g = k + 5. Is j(g) prime?", "a": "False" }, { "q": "Is 231250/190 - 10/95 a prime number?", "a": "True" }, { "q": "Let l(j) = -1538*j - 20 - 987*j - 1013*j. Is l(-1) a composite number?", "a": "True" }, { "q": "Let z = 289927 - 175686. Is z prime?", "a": "False" }, { "q": "Let n(f) = -3*f**3 + 19*f**2 + 2*f - 7. Let p be n(6). Suppose p*q - 2694 = 35*q. Is q a composite number?", "a": "False" }, { "q": "Let y be -22*5/(-10)*1. Suppose -10*i + y*i = 0. Suppose 4*k = -3*q + 1846, -4*q + 5*k = -i*q - 2451. Is q a composite number?", "a": "True" }, { "q": "Let g = 3264 - -6344. Let y = g - 5847. Is y a composite number?", "a": "False" }, { "q": "Suppose 2*l = -3*l + 260. Let d = -47 + l. Suppose 0 = -4*c - 5*o + 4*o + 149, -d*c + 188 = 3*o. Is c a composite number?", "a": "False" }, { "q": "Is 5 + (3 - 10) - ((-6 - -2) + -77961) prime?", "a": "False" }, { "q": "Let c(n) = 3*n**2 - 11*n - 23. Let o(j) = -10*j**2 + 34*j + 70. Let r(a) = -17*c(a) - 6*o(a). Is r(-12) a prime number?", "a": "True" }, { "q": "Let f(x) be the first derivative of 2*x**3/3 + 3*x**2/2 + x - 34. Suppose 5*w - 3*a = -3, -4*w - w + a = 11. Is f(w) composite?", "a": "True" }, { "q": "Let r(y) = 161*y - 12. Suppose -h = -2, 0*d - 4*d + 5*h + 10 = 0. Let v be r(d). Suppose i - 210 = v. Is i prime?", "a": "False" }, { "q": "Let b(m) = -9*m**2 - 40*m - 173. Let k(c) = -4*c**2 - 21*c - 86. Let h(p) = 3*b(p) - 7*k(p). Is h(-24) a prime number?", "a": "True" }, { "q": "Let x(p) = -4*p - p**2 - 2 + 15 - 22*p. Suppose 42*l + 340 = -122. Is x(l) a composite number?", "a": "True" }, { "q": "Suppose -2*b + 0*b = 7*b - 210807. Is b a prime number?", "a": "False" }, { "q": "Suppose -4*z + 11*o + 38851 = 6*o, 0 = 5*z - 2*o - 48585. Is z prime?", "a": "True" }, { "q": "Is (154/66)/(3/12591) a prime number?", "a": "False" }, { "q": "Let f = 22 - 11. Suppose 0 = 4*c - f*c + 462. Suppose 5*r = -3*z + 163, -2*z + z = 2*r - c. Is r a composite number?", "a": "True" }, { "q": "Let u = 166 + -156. Is 5*(u/35 + 4412/140) prime?", "a": "False" }, { "q": "Let g(w) = -3*w - 11. Let n be g(-5). Let o be 17/(-3*n/(-708)). Suppose j = 2*j - 2*h - o, 4*j = 2*h + 3982. Is j a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*y - 141*y + 14060632. Is y a prime number?", "a": "True" }, { "q": "Suppose -2*d + 3*i + 11765 = 2*i, 5*d - 5*i = 29405. Suppose c + 0*c = -h + d, 3*c = 2*h + 17627. Is c a composite number?", "a": "False" }, { "q": "Let c = -239256 + 375587. Is c a composite number?", "a": "True" }, { "q": "Suppose n + 253 = 3*j + 6*n, 2*n = 2*j - 174. Let d = j - 146. Let w = 103 + d. Is w composite?", "a": "False" }, { "q": "Suppose -22*n - 29*n = 96*n - 9265263. Is n prime?", "a": "True" }, { "q": "Suppose 350*z - 163*z = 178*z + 241749. Is z prime?", "a": "True" }, { "q": "Suppose 31*r - 7733761 - 1421004 = 0. Is r a prime number?", "a": "False" }, { "q": "Is (-3252297)/(-21) + (-14)/49 prime?", "a": "True" }, { "q": "Suppose -48 = 19*a - 22*a. Suppose -k - 2*z + a = 4*k, 0 = -3*z - 6. Suppose -2*p = -3*p - 4*u + 127, 0 = -3*p + k*u + 365. Is p prime?", "a": "False" }, { "q": "Let f be 5/2*(8 + (-44)/5). Is ((-18664)/(-16))/(f/(-28)) composite?", "a": "True" }, { "q": "Suppose -y = 1, -70*j + 3*y = -72*j + 5519. Is j prime?", "a": "False" }, { "q": "Let v be ((-2)/6)/(19/2793). Let n = v + 134. Is n composite?", "a": "True" }, { "q": "Let l be (38/3 + -5)*381. Let b = 6214 - l. Is b a composite number?", "a": "True" }, { "q": "Let w = 37 - 23. Let m(r) = r**3 + 4 - w*r + 0*r**3 - 1 + 6. Is m(8) a composite number?", "a": "False" }, { "q": "Suppose -12932 = 11*w - 50415 - 36063. Is w a prime number?", "a": "False" }, { "q": "Suppose -14936 = -l + 2*a + 16827, -4*l + 5*a = -127040. Let p = -22078 + l. Is p prime?", "a": "True" }, { "q": "Let p(r) = -34*r**2 - 9*r - 26. Let k(z) = 68*z**2 + 18*z + 54. Let m(w) = -3*k(w) - 7*p(w). Is m(-7) a prime number?", "a": "False" }, { "q": "Suppose -12*z + 19*z = 378. Is (-12)/(-54) - (-102642)/z a composite number?", "a": "False" }, { "q": "Suppose 501 = m + 503, 5*m - 190563 = -p. Is p a composite number?", "a": "False" }, { "q": "Suppose 5*h = -m + 2322, h - 6 = -5. Is m a composite number?", "a": "True" }, { "q": "Suppose 4*v + 5*w - 1681 = 0, -3*v + w + 1458 = 202. Let s = v - -248. Is s a prime number?", "a": "False" }, { "q": "Suppose -4*m - x = -4*x + 23, -4*m + 4*x = 20. Is ((-9)/3 + 1)*7660/m prime?", "a": "False" }, { "q": "Let r be (3 + 2)/5*-2769. Let l = r + 5206. Is l prime?", "a": "True" }, { "q": "Let y(p) = 552*p**3 + 4*p**2 - 5*p - 2. Is y(3) a prime number?", "a": "True" }, { "q": "Suppose 0 = -34*t + 38*t - 16. Suppose t*n = -0*n + 1316. Is n prime?", "a": "False" }, { "q": "Let f be (-15)/(-12) - 4*(-5)/(-80). Is (1/(f/(-67)))/((-51)/2397) a composite number?", "a": "True" }, { "q": "Let j(b) = b**3 - 24*b**2 + 24*b - 8. Let m be j(23). Suppose 43705 = 20*l - m*l. Is l prime?", "a": "True" }, { "q": "Let m(g) = -g**3 + 7*g**2 - 4*g - 12. Let b be m(6). Let x be -1*(1 - b) + 136. Is 30/x - 3013/(-9) a composite number?", "a": "True" }, { "q": "Suppose -7*m + 9*m - 1872 = 0. Suppose 4*p - m = -2*p. Suppose 0 = -3*g + p + 603. Is g a prime number?", "a": "False" }, { "q": "Let g be (-1918)/((-2)/(-16)*(-3)/39). Suppose -20*c - 51452 = -g. Is c a composite number?", "a": "True" }, { "q": "Let n(j) = j**3 + 9*j**2 + 8*j + 7. Let b be n(-8). Suppose b*f = 4*f - 5697. Is f/(-27) - 4/(-6) a prime number?", "a": "True" }, { "q": "Suppose 356 - 1004 = -u. Suppose -2*w = -6, 5*q - 2*w + u = -w. Let m = q + 215. Is m a composite number?", "a": "True" }, { "q": "Let s(h) = 529*h + 133. Let b be s(-4). Suppose 0 = d + 2, -1553 = 5*r - 5*d - 18163. Let y = r + b. Is y composite?", "a": "True" }, { "q": "Let c = 1253 - 635. Suppose 0 = -5*k - 2044 - 156. Let z = k + c. Is z composite?", "a": "True" }, { "q": "Let a(r) = r**3 + 15*r**2 + 24*r - 34. Let s be a(-13). Is 5/20 - 19734/s a composite number?", "a": "False" }, { "q": "Suppose 0 = d + 392*r - 388*r - 90087, 0 = 4*d + 4*r - 360408. Is d composite?", "a": "False" }, { "q": "Let y = 17 + -15. Suppose 3*d - 9 = -s, -5*d = -y*d - 9. Suppose l = -s*l + 221. Is l composite?", "a": "True" }, { "q": "Let k be (15 - 11)/(2/(-1)). Let j be k/24*3*-8. Suppose -j*y = -y - 649. Is y prime?", "a": "False" }, { "q": "Suppose 7*d - 709370 = -3*d - 0*d. Is d a composite number?", "a": "False" }, { "q": "Suppose 0 = 4*o + 1 + 11, -2*o - 1276 = -5*m. Let i = m + -117. Suppose 5*t - 772 + i = 0. Is t a prime number?", "a": "True" }, { "q": "Suppose -15790 + 21042 = i - 20841. Is i a composite number?", "a": "True" }, { "q": "Suppose 0 = 24*g + 1444492 - 2437439 - 1856069. Is g prime?", "a": "True" }, { "q": "Suppose 13*d = 15*d - 1326. Suppose -4243 + d = 5*q. Let h = -33 - q. Is h a composite number?", "a": "False" }, { "q": "Suppose -o - 9 = -2*o. Suppose 4*m - 2*x + 489 - 1339 = 0, -o = 3*x. Suppose 3*v - 8*v + m = p, -2*v = -8. Is p prime?", "a": "True" }, { "q": "Let p(o) = -o**3 + 15*o**2 + 19*o + 5. Let c(k) = -35*k + 4*k**3 + 11 - 23*k - 27 - 46*k**2. Let z(x) = -2*c(x) - 7*p(x). Is z(-12) a prime number?", "a": "False" }, { "q": "Let h(v) = -422*v - 195*v - 279*v - 74 + 45. Is h(-2) a prime number?", "a": "False" }, { "q": "Suppose -3*f + 3*a = -f - 91, -4*a - 58 = -f. Let g = f + -38. Is (g + 2)/(14/609) prime?", "a": "False" }, { "q": "Is ((-260)/(-156))/(5/206757) composite?", "a": "True" }, { "q": "Let a(o) = 341*o + 86. Let c(v) = 1022*v + 259. Let p(t) = 14*a(t) - 5*c(t). Is p(-4) a composite number?", "a": "True" }, { "q": "Is (-84003318)/(-972) - -1*1/(-6) composite?", "a": "False" }, { "q": "Let h(o) = 9*o**3 - 2*o**2 - 14*o + 13. Let u = 205 - 199. Is h(u) a composite number?", "a": "False" }, { "q": "Let y(j) = 442*j**2 - 8*j - 41. Let d be y(-4). Suppose -2534 = q - d. Is q prime?", "a": "False" }, { "q": "Suppose 0*h = -2*k + h + 5, 4*h + 14 = 5*k. Let c(m) = -k - 1 + 74*m - 234*m - 742*m. Is c(-2) composite?", "a": "False" }, { "q": "Let h(q) = 2*q**2 + 5*q + 2. Let u be h(-3). Let n(c) = -c + 7 + 0 + u*c - c. Is n(4) a prime number?", "a": "True" }, { "q": "Suppose -2*p + 5 = -3*t, -2*t - 5 = -3*p + 15. Suppose p*y - 19 - 31 = 0. Suppose y*w - 2077 = 328. Is w composite?", "a": "True" }, { "q": "Suppose 0 = 68*q - 63*q. Suppose 2*p + 2 = q, 3*v - 2279 = v - 3*p. Is v a prime number?", "a": "False" }, { "q": "Is (42/12)/(7/90566) a composite number?", "a": "True" }, { "q": "Let o = 302 + 2531. Is o a composite number?", "a": "False" }, { "q": "Suppose -3546 = -7*n - 480. Let v = 675 - n. Suppose 0 = 10*t - 7*t - v. Is t a composite number?", "a": "False" }, { "q": "Suppose -x + 4*x - g - 65 = 0, 5*x - 4*g - 113 = 0. Suppose l + 2*y - 16 = 0, -4*y + 61 = 3*l + x. Suppose -l*t + 3*t + 3155 = 0. Is t a composite number?", "a": "False" }, { "q": "Let c be 9/(-3) - -7*7. Let x = 50 - c. Suppose -x*o = o - 1735. Is o a prime number?", "a": "True" }, { "q": "Is (-4)/14*(-280)/16 - -326 prime?", "a": "True" }, { "q": "Suppose 10*n = 31*n + 45780. Let a = 3267 + n. Is a a composite number?", "a": "False" }, { "q": "Let p(g) = g**2 + 3*g - 2. Let b be p(-3). Let n be 3 + (-11 - (1 + -5)). Is (n - 119/2)*b a prime number?", "a": "True" }, { "q": "Let g be ((-6)/4)/((-8)/(-176)). Let u = 45 + g. Is 8/u*(-2)/4*-249 a prime number?", "a": "True" }, { "q": "Let p be (-15685)/(-3) + (-4)/(-6) - -2. Suppose 4*k = -2*f + p + 2007, -4*f + 1799 = k. Is k a composite number?", "a": "False" }, { "q": "Let y = 290 - 150. Is y + 3 - (7 - 5) a prime number?", "a": "False" }, { "q": "Let f(h) = -21 + 15*h + 16*h + 7. Is f(9) composite?", "a": "True" }, { "q": "Suppose 5*o - 557 = -4*d, -3*d + d + 271 = 5*o. Let q = d + 336. Is q composite?", "a": "False" }, { "q": "Suppose -30*f + 10*f = 73320. Let y(t) = 305*t + 5. Let p be y(-6). Let m = p - f. Is m a prime number?", "a": "False" }, { "q": "Let i be (0/(-1 - 0))/(4/(-2)). Let c be (-4)/(-2) + i + 3. Let z(b) = 178*b - 3. Is z(c) composite?", "a": "False" }, { "q": "Let w(j) = -924*j + 43. Let n(b) = b + 3. Let l(z) = -2*n(z) + w(z). Is l(-3) prime?", "a": "False" }, { "q": "Suppose 4*t - 2 = -2*n, 0*n = -t + 2*n - 2. Suppose t = -7*g + 64427 - 12270. Is g composite?", "a": "False" }, { "q": "Suppose o + 16213 = 5*q - 11037, 5*q - 27255 = 2*o. Is q composite?", "a": "False" }, { "q": "Let j = 100 - 96. Suppose -j = -2*m, -5*m = p - 302 - 595. Is p composite?", "a": "False" }, { "q": "Suppose -5 + 59 = 5*c + 3*m, 0 = 2*c + 4*m - 16. Let h be c - 11 - (-193 + 0). Let l = 317 + h. Is l a composite number?", "a": "True" }, { "q": "Suppose 2*k + 36*k - 731302 = 792916. Is k a composite number?", "a": "False" }, { "q": "Let d = 149 + 140. Let t(w) = w**3 + 10*w**2 - 10*w - 27. Let h be t(-11). Let c = d + h. Is c prime?", "a": "True" }, { "q": "Let j(c) = c**3 - 9*c**2 + 3. Let s be j(9). Suppose -10 = -a + s*a. Let q(h) = 12*h**2 - 6*h + 7. Is q(a) a composite number?", "a": "False" }, { "q": "Suppose 3*u - 22621 - 14275 = 21781. Is u a prime number?", "a": "True" }, { "q": "Let j(o) = -o**2 - o. Suppose 30 = -77*c + 82*c. Let t(v) = -v**3 - 21*v**2 - 22*v - 19. Let y(q) = c*j(q) - t(q). Is y(-13) composite?", "a": "False" }, { "q": "Let b(k) = 22*k**3 + k**2 + 9*k - 7. Let a(q) = -2*q**3 + q - 1. Let f(n) = 6*a(n) - b(n). Is f(-4) prime?", "a": "False" }, { "q": "Suppose -2*o + 5*v = 93, -4*o - 2*v = 3*v + 201. Let l = o - -49. Suppose l = -t - 3*t + 3260. Is t composite?", "a": "True" }, { "q": "Let j = -571 + 212. Let x = 508 + j. Is x prime?", "a": "True" }, { "q": "Suppose -4*l = -27 + 15. Suppose l*m + 11 = 2. Is m/15 + 6580/25 a composite number?", "a": "False" }, { "q": "Let j(i) = 327*i**3 - 8*i**2 + 40*i - 140. Is j(5) prime?", "a": "False" }, { "q": "Suppose -m - 5*z + 4*z + 5 = 0, -2*m + z = 5. Suppose 0 = -2*p - m - 4, 4*b = p + 2294. Let k = b + -340. Is k composite?", "a": "False" }, { "q": "Suppose -9*d - 9 - 27 = 0. Is (2/6)/(((-8)/6438)/d) a composite number?", "a": "True" }, { "q": "Suppose -5*b + r = 11301 + 3417, 5*b - 3*r = -14714. Let q = 14621 + b. Is q a prime number?", "a": "True" }, { "q": "Suppose -2*u = 4*r - 3768, -586 - 374 = -r + 4*u. Suppose 12 + 8 = 5*x. Is 3/(x*4/r) a prime number?", "a": "False" }, { "q": "Let j = -23524 + 66113. Is j prime?", "a": "True" }, { "q": "Let n be ((-3 - 1) + 4)*1. Suppose n = 3*h - 11 - 1. Suppose -2*j + 946 = 3*d, -h*d + 942 = 2*j - 0*d. Is j a prime number?", "a": "True" }, { "q": "Let q = 23295 - 15704. Is q a prime number?", "a": "True" }, { "q": "Let o(i) = -2271*i - 5. Let n(y) = -15897*y - 36. Let k(v) = 2*n(v) - 15*o(v). Let j be k(1). Suppose -6*g = -0*g - j. Is g composite?", "a": "False" }, { "q": "Let y(j) = 3*j**3 - 9*j**3 + 4*j**3 + 7*j**2 - 6*j + 13. Let i be y(5). Let g = i + 723. Is g a prime number?", "a": "True" }, { "q": "Suppose 13*n - 6*n = 524510. Is (n/(-12))/(-5) + 13/78 a composite number?", "a": "False" }, { "q": "Let r = 205 + -216. Is ((-195690)/12)/r*2 prime?", "a": "False" }, { "q": "Let w be (20/(-30))/(3/(-92979)). Suppose 4*j = 1182 + w. Is j composite?", "a": "True" }, { "q": "Let x(l) = 92*l**2 - 4*l + 38. Let f(j) = -46*j**2 + j - 19. Let b(v) = -9*f(v) - 4*x(v). Is b(-6) a composite number?", "a": "True" }, { "q": "Suppose 22 = 5*u - 448. Let o(n) = n**3 + 15*n**2 - 4*n + 289. Let x be o(-16). Suppose u + x = v. Is v composite?", "a": "False" }, { "q": "Let q(x) = 63*x - 81. Let o(r) = -62*r + 83. Let d(j) = 5*o(j) + 6*q(j). Is d(29) prime?", "a": "True" }, { "q": "Suppose -2*c + 4*c = 8. Suppose 12*z - 3388 = 656. Suppose c*k + z = 2*w - k, -3*k = -w + 170. Is w composite?", "a": "True" }, { "q": "Suppose 7*t = 75 + 2. Suppose -t*s + 12620 = -2351. Is s composite?", "a": "False" }, { "q": "Suppose -40*l = -382416 + 10856. Is l a composite number?", "a": "True" }, { "q": "Is 7122186/54 + (-32)/24 composite?", "a": "False" }, { "q": "Suppose x - 302798 = 5*z, 3*x + 364631 - 1272995 = 5*z. Is x prime?", "a": "False" }, { "q": "Suppose -3*j + 67 = 4*c, 3*c + 1 = 2*j + 30. Suppose -c*q + 8*q + 70985 = 0. Is q composite?", "a": "False" }, { "q": "Suppose 4*m - 2*q = 38, 2*m = q - 2*q + 13. Is 56970/m - 17/68 a prime number?", "a": "True" }, { "q": "Suppose -4*l + 6 = -u - 5, 4*l - 14 = -2*u. Suppose 2*c - v = 1789, -2*v - 3 = l*c - 2683. Is (-6)/2*c/(-18) a prime number?", "a": "True" }, { "q": "Is 5/(8/(30478512/30)) a prime number?", "a": "True" }, { "q": "Let g(z) = -10550*z + 169. Is g(-2) a prime number?", "a": "True" }, { "q": "Suppose -20 = -4*k, -3*k - 24723 - 20269 = -z. Is z composite?", "a": "False" }, { "q": "Suppose 5*s = -3*w - 10, -2*w = 3*w + 5*s. Is 117/5 + w + (-135)/25 composite?", "a": "False" }, { "q": "Suppose 17*f + 22*f = 37*f + 9770. Is f a composite number?", "a": "True" }, { "q": "Let z = -15 - -20. Suppose 0 = 9*w - z*w - 20. Suppose -m + 3*n = -n - 197, 0 = -w*m + 4*n + 1065. Is m composite?", "a": "True" }, { "q": "Is (-7986)/(-16) + (-12)/(5 - -91) a composite number?", "a": "False" }, { "q": "Let q = 21247 - 2474. Is q composite?", "a": "False" }, { "q": "Let i(x) = 46*x**2 - x - 4. Let k be (8/(-10))/((-10)/75). Suppose 34 = k*t + 4. Is i(t) composite?", "a": "True" }, { "q": "Let v(c) be the third derivative of -11*c**6/180 - c**5/120 + 5*c**4/24 - 8*c**2. Let b(p) be the second derivative of v(p). Is b(-7) a prime number?", "a": "True" }, { "q": "Let g = 14544 + -6713. Is g a prime number?", "a": "False" }, { "q": "Let u be (-9344)/(-112) - 4/(-7). Let i = 123 - u. Is (-3 - -22)/(3/i) composite?", "a": "True" }, { "q": "Is (8 + (-98)/14)*10061 composite?", "a": "False" }, { "q": "Let l(j) = -19*j**2 - 27*j - 16*j**2 + 113 + j**2 - j**3. Is l(-34) prime?", "a": "True" }, { "q": "Is (-1 - -2)*-77587*14/(-14) composite?", "a": "False" }, { "q": "Let v(x) = 7*x + 0 - 16*x**2 - 40 + 20*x**3 - 17*x**3 + 5. Is v(11) a composite number?", "a": "False" }, { "q": "Suppose 0 = -3*q + 52080 + 16785. Suppose 2*t - q = -3*v, 3*t + 9 + 6 = 0. Is v a prime number?", "a": "False" }, { "q": "Let p(n) = -n - 5. Let t be p(-6). Suppose -2*i + 2*a = -7*i + 5845, -3*a = i - 1156. Is (-4 + i)*t/3 a composite number?", "a": "False" }, { "q": "Suppose -22*x - 19770615 = 10*x - 167*x. Is x a prime number?", "a": "True" }, { "q": "Suppose 4*i + 4 + 4 = 0, -1144 = -3*f + 5*i. Let x = 41 - 39. Suppose x*o - 1652 + f = -4*n, n - 1265 = -2*o. Is o composite?", "a": "False" }, { "q": "Let v = 5866 - 2855. Is v composite?", "a": "False" }, { "q": "Let v = -60 - -62. Suppose 2*g = -p + 424, 5*g - p - 363 - 711 = 0. Suppose -v*f + 454 = -g. Is f a composite number?", "a": "True" }, { "q": "Let g be (5 - -426)/((-1)/(-7)). Suppose -4*s - 7*x = -2*x - 12173, 0 = -s + 4*x + g. Is s composite?", "a": "False" }, { "q": "Suppose i = 3*h - 1314, -5286 = 3*i + i + 3*h. Let w be ((-5)/((-50)/(-24)))/(3/i). Let r = w + -303. Is r a prime number?", "a": "False" }, { "q": "Let o(b) = -b**3 + 8*b**2 + 4*b. Let q be o(8). Suppose 30*w - q*w + 10254 = 0. Is w a composite number?", "a": "True" }, { "q": "Let t(l) = 19*l + 34. Let n be t(18). Let i = 811 + n. Is i a prime number?", "a": "True" }, { "q": "Suppose -23*k - k = -480. Is (-8)/(-20) + 76052/k composite?", "a": "False" }, { "q": "Let s(d) = -d**3 - 16*d**2 + 14*d - 16. Let r be s(-13). Let t = -269 + -107. Let g = t - r. Is g prime?", "a": "False" }, { "q": "Is ((-1655)/35)/((-33)/34419) composite?", "a": "True" }, { "q": "Suppose 2*g = -w + 6848 + 60063, 4*g - 267660 = -4*w. Is w a prime number?", "a": "True" }, { "q": "Let l(u) = 3*u**3 - 11*u**2 - 18*u + 25. Let r be l(17). Suppose 0 = 6*b - 2*b + 3*a - r, b = 4*a + 2815. Is b prime?", "a": "True" }, { "q": "Suppose 5*n + 58 - 8 = 0. Let l(x) = -5 - 3*x + 9 + 9 + x**2. Is l(n) a composite number?", "a": "True" }, { "q": "Let h = 35 - 54. Let s(z) = 21*z + 26. Let q be s(h). Let b = 114 - q. Is b prime?", "a": "True" }, { "q": "Let k = 44 + -30. Let n be (k/3)/(-7) + 8/3. Is n/(-3) + (-385)/(-15) a composite number?", "a": "True" }, { "q": "Let s(b) be the first derivative of b**5/20 + 13*b**4/12 - 7*b**3/3 + 3*b**2/2 + 16*b - 15. Let o(r) be the first derivative of s(r). Is o(-14) a prime number?", "a": "True" }, { "q": "Suppose 741*o - 760*o + 4658686 = 0. Is o prime?", "a": "False" }, { "q": "Suppose 364*x = 342*x + 1464694. Is x prime?", "a": "False" }, { "q": "Let i(t) = 13384*t**2 + 57*t - 111. Is i(2) a prime number?", "a": "False" }, { "q": "Let f be (-5)/(10/1926)*(-2)/(-3). Let q = 2459 + f. Is q a prime number?", "a": "False" }, { "q": "Suppose -4*k = -2*v - 10, 0*v - k = 4*v - 25. Let i = 29 - 25. Suppose -12 = 3*s, v*u - 971 = i*s + 2160. Is u a composite number?", "a": "True" }, { "q": "Let b(y) = y**3 + 10*y**2 + 7*y + 30. Let z be b(-9). Is -956*3*(-68)/z a prime number?", "a": "False" }, { "q": "Suppose 2135 + 3810 = 5*d. Let u = 752 + d. Suppose -2*x - x = -u. Is x a composite number?", "a": "False" }, { "q": "Let i = 42 + -41. Let z be (-5)/4*(8/(-2))/i. Suppose z*a = -0*a + 465. Is a composite?", "a": "True" }, { "q": "Suppose 0 = -12*w + 9*w + 12. Suppose -w*r = 8 - 48. Suppose 7*l + 393 = r*l. Is l a composite number?", "a": "False" }, { "q": "Let p = 40 - 31. Suppose p*l = 12*l + 3. Is (2/6)/(l/(-366)) a composite number?", "a": "True" }, { "q": "Let l = 23190 - 1223. Is l a composite number?", "a": "True" }, { "q": "Let j(n) = 13653*n - 46. Is j(5) a composite number?", "a": "False" }, { "q": "Let j = 125097 + -57782. Is j prime?", "a": "False" }, { "q": "Let p(l) be the third derivative of -l**5/20 + 13*l**4/12 + 13*l**3/6 + 3*l**2. Let g be p(9). Suppose v - 75 = -2*a, 3*v - g*a - 324 = -v. Is v prime?", "a": "True" }, { "q": "Let n be (29 - 28) + 1*-1. Suppose 55*g - 63*g + 1144 = n. Is g a prime number?", "a": "False" }, { "q": "Let p = -40 + 113. Suppose 3760 = -34*u + 44*u. Let o = u + p. Is o a prime number?", "a": "True" }, { "q": "Let m be 2239/(((-15)/(-10) + -1)*-2). Let r = 483 - m. Is r prime?", "a": "False" }, { "q": "Let o(n) be the third derivative of 65*n**4/24 + 2*n**3 - n**2. Let a be o(7). Let j = 1040 - a. Is j a composite number?", "a": "True" }, { "q": "Suppose 2*m - 1774 = r + r, 2*r + 6 = 0. Suppose 0 = -6*j + 5608 + m. Suppose 0 = 89*g - 91*g + j. Is g prime?", "a": "True" }, { "q": "Let a(n) = 26*n - 4*n**2 + 117*n**2 - 43*n**2 + 25. Is a(-12) composite?", "a": "True" }, { "q": "Let y(k) = -k**2 + 12*k + 10. Let z be y(12). Suppose -z*j - 18 = -4*j. Let m(b) = 10*b**2 + 4*b - 1. Is m(j) a composite number?", "a": "True" }, { "q": "Suppose -4*w + 3*b = -155, -4*w + w + 3*b = -120. Let t be (45/w - 1) + 38/14. Suppose 0 = -3*i - 3*z + 477, -5*z = t*i - 4*z - 473. Is i composite?", "a": "False" }, { "q": "Let g be (-2)/3 + (-20)/15 + 11. Suppose 0 = g*d - d - 2344. Is d a composite number?", "a": "False" }, { "q": "Suppose 2*n = -j + 4963 + 8155, -5*n = -4*j - 32795. Is n a composite number?", "a": "True" }, { "q": "Suppose -51*n = 41*n - 4947116. Is n prime?", "a": "True" }, { "q": "Let u = 4 - 1. Suppose 531 = -5*j - 0*j + 2*y, 6 = -u*y. Let s = j - -364. Is s a prime number?", "a": "True" }, { "q": "Let d be -1*1 - (11 + -14). Let g(k) = 6 - 5*k**3 - 3 + 2*k**d + 3*k - 2*k**3 - 2*k**3. Is g(-2) composite?", "a": "True" }, { "q": "Let a = -286021 + 560730. Is a composite?", "a": "False" }, { "q": "Let k be 2902 + (-1 + 2)/((-4)/(-8)). Suppose k = f + l, -f = 2*l - 3959 + 1054. Is f a prime number?", "a": "True" }, { "q": "Let j = 21276 - 12516. Suppose -19*b - 2699 + j = 0. Is b prime?", "a": "False" }, { "q": "Let k = 15982 + -10227. Is k a composite number?", "a": "True" }, { "q": "Let q be 1840/(-15)*-39 - -5. Let g = q - 2660. Is g prime?", "a": "True" }, { "q": "Let c be ((-16)/12)/(-2*(-3)/(-297)). Is c/(-44)*398/(-3) a prime number?", "a": "True" }, { "q": "Let w(q) = -q - 38. Let s be w(-26). Let n(l) = l**2 + 5*l + 13. Is n(s) a prime number?", "a": "True" }, { "q": "Let o = -11 - -33. Suppose -31 = -v + q, -2*q + o = 3*v - 2*v. Is -332*((-6)/21 - 27/v) composite?", "a": "True" }, { "q": "Let a = -68158 + 115817. Is a prime?", "a": "True" }, { "q": "Let k = 37 + -18. Let a = -365 - -399. Let b = a + k. Is b a prime number?", "a": "True" }, { "q": "Suppose -2*i + 73 = -23. Let b(j) = 11*j + 175. Let w be b(-20). Let z = w + i. Is z a prime number?", "a": "True" }, { "q": "Suppose -j = -4*j, 0 = 2*x + 3*j - 43212 - 21770. Is x composite?", "a": "False" }, { "q": "Suppose -3*d + 8*d = -300. Is (-1)/(-5) - 35148/d prime?", "a": "False" }, { "q": "Suppose -122309 - 78236 = -8*g + 182679. Is g prime?", "a": "True" }, { "q": "Is (7 + (67320/(-32))/9)*-124 a prime number?", "a": "False" }, { "q": "Suppose 0 = 3*q + 4*q - 210. Suppose 5*c + q = 10. Is (18 + -19)/((c/282)/2) a composite number?", "a": "True" }, { "q": "Let t(u) = u**3 - 18*u**2 + 30*u - 6. Let a be t(17). Suppose 214*x - a*x + 691 = 0. Is x prime?", "a": "True" }, { "q": "Suppose -3*b = -4*g - 74, 52 = -b + 3*b - 2*g. Let h = 33 - b. Is h/6*-4 - -189 a prime number?", "a": "False" }, { "q": "Let h = 212 - 214. Is 142*(50/4 - h) a prime number?", "a": "False" }, { "q": "Let r(u) = u - 13. Let h be r(21). Is 6/(-16) + (48147/h - 5) composite?", "a": "True" }, { "q": "Let r(w) = 2479*w**3 + w**2 - 16*w + 3. Is r(4) prime?", "a": "True" }, { "q": "Is (1/3)/((-137)/(-7102491)) a prime number?", "a": "False" }, { "q": "Suppose 37 = 5*b - z, -b - 5*z = -9*z + 4. Suppose 38395 = 15*v - b*v. Is v a prime number?", "a": "False" }, { "q": "Suppose -8*v + 3*v = -4*f + 40, 5 = f. Let c be ((-6)/v)/(2/2292). Suppose 10*r + c = 13*r. Is r prime?", "a": "False" }, { "q": "Let x(s) = 9*s**2 - 6*s + 9. Let k be x(3). Let w = -20 - -34. Let f = k - w. Is f a prime number?", "a": "False" }, { "q": "Let t(h) = -12313*h - 15. Is t(-2) a composite number?", "a": "False" }, { "q": "Suppose -15 - 3 = -6*i. Let y(j) = -237*j + 242*j + 1 + j**3 + 13*j**2 - 2*j**i. Is y(12) a prime number?", "a": "False" }, { "q": "Let l(x) = -9694*x + 473. Is l(-9) prime?", "a": "True" }, { "q": "Is 150970/9 + ((-112)/18)/14 composite?", "a": "True" }, { "q": "Let n(u) = 242*u - 24. Let c be (1/2 + -1)/(2/(-20)). Is n(c) prime?", "a": "False" }, { "q": "Let i(r) = r**2 + 4*r - 55. Let p be i(-13). Suppose -65*u + 3201 = -p*u. Is u prime?", "a": "False" }, { "q": "Let y(t) = -t**3 + t**2 + 7*t - 7. Let w be y(-4). Let p(f) = -f - 8 + w*f + 5. Is p(2) composite?", "a": "True" }, { "q": "Let r = -6 - 3. Let h be (1160/(-12))/(3/r). Suppose -5*d = -5*a + h, -2*a + 5*d = -159 + 46. Is a prime?", "a": "True" }, { "q": "Is 43*(-10 + 51129/13) a prime number?", "a": "False" }, { "q": "Let n = -186 - -193. Suppose -2152 = 6*t - n*t + 5*c, 0 = -4*t + 4*c + 8624. Is t a composite number?", "a": "True" }, { "q": "Let c(w) = -52*w + 15. Let n be ((-12)/1 - 3)*3. Let z = n + 37. Is c(z) a prime number?", "a": "True" }, { "q": "Suppose l + 432 = 2853. Suppose b - l = 2222. Is b a prime number?", "a": "True" }, { "q": "Let a(s) = 58*s**2 + 34*s - 23. Is a(27) composite?", "a": "False" }, { "q": "Let z be (-6)/(-4) + 3/(-6) - -9. Suppose z*m + 8 = 8*m. Is (-394)/m + 9/(-6) prime?", "a": "True" }, { "q": "Let d = -23 - -26. Suppose -d*k - 20 = 2*k - 2*m, k + 2*m = -4. Is ((-850)/k)/(-5)*(-8)/4 prime?", "a": "False" }, { "q": "Is 204707/(19/((-57)/(-18)) + -5) prime?", "a": "True" }, { "q": "Suppose 7*m + 2*r - 69 = 2*m, 63 = 5*m - r. Suppose -m - 53 = -6*p. Is p a composite number?", "a": "False" }, { "q": "Suppose -4*w - 9 = -w. Let h(m) = -21*m - 7. Let g be h(w). Suppose -2*d + g = -50. Is d a prime number?", "a": "True" }, { "q": "Suppose -3*m - 3*d = -d - 32208, -4*m + 42944 = 5*d. Suppose -6*b + 3*t - m = -2*b, -3*t + 13420 = -5*b. Is -4 + (-3)/(12/b) prime?", "a": "False" }, { "q": "Suppose 4*w - 11*r - 108232 = -7*r, 2*r = -5*w + 135255. Is w a prime number?", "a": "False" }, { "q": "Suppose 1991242 = 8*a + 6*a - 521380. Is a a prime number?", "a": "False" }, { "q": "Suppose 0*z - 6 = z. Suppose -153*i = -159*i - 36. Is 76/i*z*7/4 a composite number?", "a": "True" }, { "q": "Let x(u) = u**3 + 10*u**2 - 2*u + 45. Let h be x(11). Suppose h = 8*p - 788. Is p composite?", "a": "False" }, { "q": "Suppose -15964 - 5673 = -7*c. Is c composite?", "a": "True" }, { "q": "Suppose 7*z - 2*z = 0. Suppose 2*i - 984 = -2*k, 4*i + i + 2*k - 2457 = z. Suppose -2*x + i = -x. Is x prime?", "a": "True" }, { "q": "Suppose 0*v - 2*v + 2 = 3*f, -v + 5*f + 1 = 0. Let p = 0 - 2. Is p/(v*(-6)/333) composite?", "a": "True" }, { "q": "Let t(q) = 76*q**2 + 59*q - 313. Is t(34) a composite number?", "a": "True" }, { "q": "Let c = 138167 - 44168. Is c prime?", "a": "False" }, { "q": "Suppose -47556 = -2*v + 4*h + 132730, 0 = -4*v - 5*h + 360611. Is v a prime number?", "a": "True" }, { "q": "Let q = -77 - -77. Is 0 + q + 705 + -4 + 0 composite?", "a": "False" }, { "q": "Suppose -4*t + 4156 = 4*n, -t + 1047 = 11*n - 8*n. Let y = 1544 - t. Is y prime?", "a": "True" }, { "q": "Suppose -111942 = -9*n - 29799. Is n a composite number?", "a": "False" }, { "q": "Let o(l) = 9236*l**3 - l**2 - 2*l + 2. Let t be o(1). Suppose -48*b = -43*b - t. Is b prime?", "a": "True" }, { "q": "Let o be ((-2)/4)/(37/(-74)). Is (-15 + o)*3868/(-8) prime?", "a": "False" }, { "q": "Suppose -4*p = 5*o + 38293, -2*p - 2 = 2. Let c = o - -12360. Is c prime?", "a": "True" }, { "q": "Let v(t) = -t + 12. Let r be v(-12). Suppose -3*w - 5*n = -r, 5*n - 3 = w + 9. Suppose w*x - 7*x = -328. Is x a composite number?", "a": "True" }, { "q": "Suppose -5*q = -r + 9908, 2*r - 54*q = -57*q + 19829. Is r a prime number?", "a": "False" }, { "q": "Let s(q) = -2*q**2 - 6*q - 3. Let n be s(-3). Let x(g) = -g**3 - 3*g**2 + 2*g + 1. Let w be x(n). Let t(m) = 4*m**2 + 9. Is t(w) a composite number?", "a": "False" }, { "q": "Let h be (-12)/3 + (-49)/(-7). Suppose 2*m + 2*x + 2*x = 2438, 0 = -m - h*x + 1220. Is m composite?", "a": "False" }, { "q": "Let q be (-333)/111 + 11*68. Suppose 0*o + o + 414 = 0. Let f = q + o. Is f prime?", "a": "True" }, { "q": "Let u(n) = -n**2 + 4*n - 4. Let h be u(3). Let g = -5 + h. Is (-8)/g*12/(-16)*-74 a prime number?", "a": "False" }, { "q": "Let x(o) = 109*o**2 - 72*o + 1693. Is x(20) composite?", "a": "False" }, { "q": "Let y(x) = 48*x + 7*x**3 + 21*x**2 + 23 + 8 - 8*x**3. Is y(23) a composite number?", "a": "True" }, { "q": "Let l(a) = 2334*a**3 - a**2 + 7*a - 7. Is l(1) composite?", "a": "False" }, { "q": "Suppose r = 2*r - 11. Let u(t) = t**2 + 19*t - 37. Is u(r) prime?", "a": "True" }, { "q": "Let q = -44605 - -63840. Is q a composite number?", "a": "True" }, { "q": "Let g be 41954/33 - 4/(-6). Suppose -a - g = -2*a. Suppose m + a = 9*m. Is m composite?", "a": "True" }, { "q": "Let f be ((32/(-12))/(-2))/((-2)/(-3)). Suppose -39 = f*z + 5*h, -2*h + 5 = -3*h. Is z/(-21)*(-2 + 341) a composite number?", "a": "False" }, { "q": "Let y(g) = -g - 294. Let i be y(0). Let r = i + -222. Let v = -329 - r. Is v prime?", "a": "False" }, { "q": "Is (-2)/(-2) + 12795 - -13 prime?", "a": "True" }, { "q": "Is (-202128)/(-3) - (-16 + 23) a composite number?", "a": "False" }, { "q": "Suppose 107*j - 4148247 - 1855844 = 0. Is j a composite number?", "a": "False" }, { "q": "Suppose -4 = l + 2*b, 25 = -0*l - 5*l - 5*b. Let c = l - -10. Suppose 1960 = c*r + 284. Is r a composite number?", "a": "False" }, { "q": "Suppose 0*i + 4*n = -2*i - 2, -4*i = -5*n - 35. Suppose 3*y - 3709 = j + 2591, i*y - 3*j = 10496. Is y prime?", "a": "False" }, { "q": "Let g(z) = -2275*z - 52. Let p be g(-5). Suppose -p = -7*t + 3930. Is t composite?", "a": "False" }, { "q": "Let v(o) = -28059*o - 713. Is v(-16) prime?", "a": "False" }, { "q": "Let w(t) = -2*t**3 - 4*t**2 + 6*t - 2. Let h be w(-3). Let i be h/(-4)*6 - 26982. Is (-8)/(-28) + i/(-21) a composite number?", "a": "True" }, { "q": "Let n be 2 + 236/(-10) + 6/10. Let i(y) = 17*y**2 - 11*y - 73. Is i(n) composite?", "a": "True" }, { "q": "Let c(z) = -33899*z - 2. Is c(-9) a composite number?", "a": "True" }, { "q": "Is (-6)/(-1) + (-68512)/(-5) - 9/(-15) composite?", "a": "False" }, { "q": "Suppose -687*y + 119512 = -679*y. Is y a prime number?", "a": "True" }, { "q": "Let a = -191 - -170. Let n = a - -74. Is n a prime number?", "a": "True" }, { "q": "Suppose -5*b = -3*a - 144505, 6*a - 10*a = b - 28901. Is b prime?", "a": "True" }, { "q": "Let a = 3403 - 1881. Let v = a + -2594. Let w = v - -2461. Is w a prime number?", "a": "False" }, { "q": "Let y = 62451 - -46114. Is y a composite number?", "a": "True" }, { "q": "Suppose c + 5*k - 242 = 3*k, 15 = 5*k. Let q be 24/(3 + (-705)/c). Suppose 4*a - 3*g - q = 0, 4*g = g - 12. Is a prime?", "a": "False" }, { "q": "Let p be (63/(-2))/(-3)*92/(-6). Let s = p - -580. Is s composite?", "a": "False" }, { "q": "Let w(p) = -p**3 - 33*p**2 - 35*p - 89. Is w(-48) a prime number?", "a": "True" }, { "q": "Suppose 15 = 20*h - 17*h. Suppose -2309 = -h*p + 3706. Is p prime?", "a": "False" }, { "q": "Suppose 4*l + 3*v - 4510 = -l, 2702 = 3*l + v. Is l - (36/10 - 12/(-30)) composite?", "a": "True" }, { "q": "Let k = 43289 - -245514. Is k a composite number?", "a": "False" }, { "q": "Let d(u) = -128*u - 1015. Is d(-64) a composite number?", "a": "False" }, { "q": "Let u = -2658 - -3834. Suppose -236 + 1117 = 3*x + o, 2*o = -4*x + u. Is x prime?", "a": "True" }, { "q": "Let o(j) = 19*j**2 - 26*j - 7. Suppose -t = -5*n - 2*t + 70, 5*n = -5*t + 70. Is o(n) composite?", "a": "True" }, { "q": "Let p(l) = 5*l**3 + 27*l**2 - 57*l + 59. Is p(32) a prime number?", "a": "False" }, { "q": "Let m be ((-6)/4)/(90/(-28) + 3). Suppose -m*p = -3*p - 20. Suppose -p*j + 1325 = -2*r, 744 + 596 = 5*j + r. Is j a prime number?", "a": "False" }, { "q": "Let a = 460799 - 300010. Is a a prime number?", "a": "True" }, { "q": "Let s = 48 + -43. Suppose -3412 = -s*o + 27163. Is o composite?", "a": "True" }, { "q": "Let x(j) = 4*j**2 - j + 19. Let t be x(14). Let q = 835 + t. Suppose -5*p - 3*p + q = 0. Is p a prime number?", "a": "False" }, { "q": "Suppose -2*k + 752 = -4*r, 1133 = -2*k + 5*k - 5*r. Suppose -b = k - 3023. Suppose 13*x - 4*x - b = 0. Is x prime?", "a": "True" }, { "q": "Let a(i) = i**2 + 20*i + 35. Let z be a(-19). Let f(q) = 9*q**2 + 19*q - 42. Is f(z) a prime number?", "a": "False" }, { "q": "Suppose 22*z = 760 + 4124. Let p be 2/3*444/(-8). Let q = p + z. Is q prime?", "a": "False" }, { "q": "Suppose -3*d + 49 - 16 = 3*x, -x + 1 = -d. Suppose 3*v - 123 = -x. Is v prime?", "a": "False" }, { "q": "Let i = -188 + 191. Suppose 2*n - i*h - 3255 = n, -3*h = 5*n - 16311. Is n composite?", "a": "True" }, { "q": "Let y(f) = 5*f - 63. Let l be y(13). Suppose 5*u - 2100 = -c, 5*u = 7*u + l*c - 848. Is u a prime number?", "a": "True" }, { "q": "Let h = 97 + -103. Is (7 - 1773)*3/h prime?", "a": "True" }, { "q": "Suppose 0 = 3*m - 35093 + 122. Is m composite?", "a": "False" }, { "q": "Let l be -1 + (-5)/((-25)/(-30)). Is (-239476)/(-133) - 3/l a prime number?", "a": "True" }, { "q": "Suppose -228483 = -3*b - 3*z, 45269 = b - 3*z - 30900. Is b a prime number?", "a": "True" }, { "q": "Let q be 387695/42 - -9 - 1/(-6). Suppose q = 8*k - 24736. Is k prime?", "a": "False" }, { "q": "Let j(b) = 45*b**3 + 53*b**2 - 16*b - 58. Is j(11) a composite number?", "a": "True" }, { "q": "Suppose 5*s - 3*c = 443206, 2*s + 3*c - 211428 + 34133 = 0. Is s a prime number?", "a": "True" }, { "q": "Is (7 + (-35)/4)/((-1)/19444) prime?", "a": "False" }, { "q": "Let x(t) be the second derivative of -t**3/3 - 7*t**2/2 - 12*t. Let z be x(-14). Let j = -2 + z. Is j a prime number?", "a": "True" }, { "q": "Let z = 41 - 78. Let o = z - -52. Suppose -16*h + o*h + 869 = 0. Is h prime?", "a": "False" }, { "q": "Suppose 2*y = -s + 13, 2*s = s + 4*y + 37. Suppose -s*h + 109845 = -26*h. Is (4/6)/((-6)/h) a composite number?", "a": "False" }, { "q": "Suppose -5*x + 4*b = 14329 - 83196, 15 = -5*b. Is x prime?", "a": "False" }, { "q": "Suppose 4*q + 101773 = 3*k, 2*k - 305305 = -7*k - 2*q. Is k prime?", "a": "True" }, { "q": "Let y(q) = q**2 - q + 1. Let u be y(2). Suppose -u*j - a = -4968, 4*j - 2*a - 6756 = -122. Is j composite?", "a": "False" }, { "q": "Is (-16 + 8)*(20/(-8))/(-5) + 98601 a composite number?", "a": "False" }, { "q": "Suppose 45*t - 117*t - 288 = 0. Suppose -b + 0*b - 4 = -4*o, 5*o = 4*b - 6. Is 2 - (-33 - t/o) a prime number?", "a": "False" }, { "q": "Let b = 90 + -78. Suppose -b*r + 30025 = -15779. Is r prime?", "a": "False" }, { "q": "Suppose 3*d - d = -u - 1, -4*d - 4*u - 12 = 0. Let s be 2127/d - (-18)/12. Is (10/6)/(((-25)/(-5))/s) composite?", "a": "True" }, { "q": "Let p = -105 - -67. Let l be 34/(-51) + p/6. Let q = 51 - l. Is q a composite number?", "a": "True" }, { "q": "Let f(a) be the first derivative of -a**3/3 - 12*a**2 - 10*a + 25. Is f(-7) a prime number?", "a": "True" }, { "q": "Let i(d) = -2949*d - 10. Let q = 205 - 206. Is i(q) prime?", "a": "True" }, { "q": "Let m = 52675 - -101788. Is m prime?", "a": "False" }, { "q": "Let o(c) = 55*c - 1 + 6 + 6 - 3. Let j be o(-3). Let d = 334 + j. Is d prime?", "a": "False" }, { "q": "Let m = -2528 + -2736. Is -3*m/6 - -1 a prime number?", "a": "True" }, { "q": "Let v(z) = 10*z**2 + 5*z + 7. Let h(a) = 20*a**2 + 10*a + 15. Let g(t) = -2*h(t) + 5*v(t). Let n be g(6). Let s = n + -201. Is s a composite number?", "a": "True" }, { "q": "Let j(p) = -125*p - 6. Let r(o) = -124*o - 7. Let k(m) = -3*j(m) + 2*r(m). Let b be k(2). Suppose -4*v = 2*t - b, -159 = -t + 4*v - 24. Is t a composite number?", "a": "False" }, { "q": "Is (7 - 2) + 4 + 111404 + -4 a composite number?", "a": "False" }, { "q": "Let t be (9 - 10)*123/(-3). Is 150/30*1*t composite?", "a": "True" }, { "q": "Let r be (-1)/10*-8*5190. Let a = r + -2179. Is a composite?", "a": "False" }, { "q": "Let m(r) be the second derivative of -53*r**3/6 - 25*r**2/2 + 17*r. Let o be m(-21). Let q = o + -419. Is q a composite number?", "a": "True" }, { "q": "Suppose 23*y - 74801 = 29857 + 43669. Is y composite?", "a": "False" }, { "q": "Let x(k) = 3*k**3 - 33*k**2 - 11. Is x(29) composite?", "a": "False" }, { "q": "Let v(k) = 2*k**2 - 2*k - 13. Let w be v(4). Suppose -w*n = -22*n + 25201. Is n a prime number?", "a": "False" }, { "q": "Let o(m) = 5*m - 13. Let z be o(3). Let p be (-2 - z)/4*-1 - 3. Is p + 4/(-4) - -644 composite?", "a": "False" }, { "q": "Suppose w + 2*d - 8 = 0, -10*w + 2*d + 2 = -6*w. Suppose 4*r = 3*z + 17746, 4*z = -w*r - 2*r + 17732. Is r prime?", "a": "False" }, { "q": "Let z = -25368 - -46835. Is z composite?", "a": "False" }, { "q": "Let h(w) = 10*w - 57. Let s be h(6). Suppose s*d - 3627 = 2*a + 4872, 4*d + a = 11332. Is d a composite number?", "a": "False" }, { "q": "Let v = -6164 + 10901. Is v a prime number?", "a": "False" }, { "q": "Let n = -4 - -1. Let t be 5*((-15)/30 + 1/(-2)). Is (-1256)/n - t/15 a prime number?", "a": "True" }, { "q": "Suppose -27*z - 176 = -38*z. Suppose 35656 = z*s - 11880. Is s a composite number?", "a": "False" }, { "q": "Let c = -9465 - -17062. Suppose -3*f = 2*s - c, -4*s - 12647 = -f - 4*f. Is f a prime number?", "a": "True" }, { "q": "Suppose 355420 + 3361696 = 84*f - 915232. Is f a composite number?", "a": "False" }, { "q": "Let r be 3686*2/(-8)*2. Suppose 0 = -4*h - 2*u - 4234, -2*h - 19*u + 22*u - 2097 = 0. Let i = h - r. Is i prime?", "a": "True" }, { "q": "Let j(y) = 6 - 23 - 49*y - 2*y**3 - 21*y**2 + 27*y. Let p be j(-14). Suppose -i + 0*i = -2*v + p, i - 4140 = -5*v. Is v a composite number?", "a": "False" }, { "q": "Suppose -13*o + 2205 = -8*o. Let q = 254 + o. Is q a composite number?", "a": "True" }, { "q": "Let w = -40 + 41. Let g be 2*w*(-4 - (-12)/2). Suppose g*j - 6718 = 2*j. Is j prime?", "a": "True" }, { "q": "Suppose -2*i - 2*l + 3*l + 3276 = 0, -5*i = 3*l - 8179. Is i composite?", "a": "False" }, { "q": "Let q(b) = 11329*b**2 - 34*b + 34. Is q(1) a composite number?", "a": "False" }, { "q": "Suppose 47 + 81 = 8*x. Suppose -17*s + x*s = -3637. Is s composite?", "a": "False" }, { "q": "Suppose -22*t = -23*t + 19. Suppose -243 = t*w - 6114. Is w prime?", "a": "False" }, { "q": "Let j(x) = -x**2 - x + 1. Let k(l) = 9*l**2 + 7*l - 12. Let f(q) = 3*j(q) + k(q). Suppose g - 2*g = -8. Is f(g) a composite number?", "a": "True" }, { "q": "Suppose 8 = 8*i - 80. Suppose -i*g + 93466 = -43363. Is g composite?", "a": "True" }, { "q": "Let z = 42 - 36. Suppose -z*p + 118601 = p. Is p a composite number?", "a": "False" }, { "q": "Let d(k) = -k**3 + 4*k**2 + 7*k - 6. Let g be d(5). Let x(j) = -8*j**2 - 8*j + 2. Let v be x(g). Let h = 61 - v. Is h a composite number?", "a": "True" }, { "q": "Let r = -211 - -203. Is -1 - -6249 - -1*(r + 7) composite?", "a": "False" }, { "q": "Is (1/((-16)/667156))/((-6)/24) a composite number?", "a": "True" }, { "q": "Let x(a) = 33*a**2 - 19*a - 83. Let g be x(-22). Let l = -8686 + g. Is l composite?", "a": "False" }, { "q": "Suppose -2*v + 39 = x - 310, 0 = 5*v + 3*x - 873. Let f = -3 - v. Is (-2 + f)*(11 + -12) a composite number?", "a": "False" }, { "q": "Suppose 151712 - 520556 = 7*z. Is 2/23 - z/276 prime?", "a": "True" }, { "q": "Suppose 0 = z + w - 43647, 0 = 4*z - w - 155412 - 19186. Is z prime?", "a": "True" }, { "q": "Suppose -x + 4777 = 5*f - 4466, -2*x + f = -18442. Is x a composite number?", "a": "True" }, { "q": "Suppose -5*f + 6*f - 37 = 4*g, 5*f + 4*g = 65. Suppose f*a - 15831 = 8*a. Is a a prime number?", "a": "True" }, { "q": "Let r = -19 + 62. Let a = -43 + r. Suppose 2*k - 331 - 463 = a. Is k composite?", "a": "False" }, { "q": "Suppose 36*c + 41*c = -35*c + 14219632. Is c a prime number?", "a": "True" }, { "q": "Suppose 2 = -6*h - 4. Let n(x) = -2*x**3 - x**2 - 2*x - 1. Let g be n(h). Suppose -2*b + 138 = -g*d - 34, -d = 2*b - 175. Is b a prime number?", "a": "False" }, { "q": "Is (-4)/18 - 23/3*339409/(-21) a composite number?", "a": "False" }, { "q": "Let x be (2/(-3) - -2)*-3. Let g(f) = -f**3 - 3*f**2 + 5*f + 6. Let c be g(x). Let q(a) = 222*a + 3. Is q(c) a composite number?", "a": "True" }, { "q": "Let s(y) = -405*y + 71. Let z(a) = -a + 2. Let c(v) = s(v) - 3*z(v). Is c(-23) a composite number?", "a": "False" }, { "q": "Suppose 3*g - 62755 = -2*p, -2*g = p + 2078 - 43916. Is g a composite number?", "a": "False" }, { "q": "Suppose -5*l + q + 2302 = 0, -4*q = -l - 5*q + 464. Let u = 308 - l. Let f = 298 + u. Is f prime?", "a": "False" }, { "q": "Let s = 1259 - 471. Let z be s - ((-2)/12 - (-20)/(-24)). Suppose -5*c + z = -i, -629 = -2*c - 2*c + 3*i. Is c a prime number?", "a": "False" }, { "q": "Suppose 44750 + 3105 = 17*n. Is n a prime number?", "a": "False" }, { "q": "Let j(s) = -7*s + 41. Let n be j(5). Let q(k) = 95*k. Let g be q(2). Suppose -n*o + o = -g. Is o a composite number?", "a": "True" }, { "q": "Let q = 191898 - 110845. Is q a composite number?", "a": "True" }, { "q": "Let v(i) = i**2 + i. Let c be v(-3). Let f be 1 + (c/3)/((-4)/(-930)). Let h = f + -215. Is h a composite number?", "a": "False" }, { "q": "Suppose t = 3*q + 15598 - 2825, 0 = -3*q. Is t prime?", "a": "False" }, { "q": "Suppose -2*o + 2*y - 82 = 0, -5*o - 2*y = -o + 140. Let w = o - -39. Suppose -x + 112 = 5*s, w*s = -3*x - s + 372. Is x prime?", "a": "True" }, { "q": "Let g(x) = 12*x - 7*x + x + x**2 + 1 - 4*x. Let d be g(-1). Suppose -7*p + 1141 + 42 = d. Is p a prime number?", "a": "False" }, { "q": "Suppose -274765 = -5*t - 302*y + 297*y, 0 = -y. Is t a composite number?", "a": "True" }, { "q": "Suppose -5*h - 24 = -2*y, 2*h = 2*y - 3*y - 15. Let u(r) = 46*r**2 - 6*r + 35. Is u(h) composite?", "a": "True" }, { "q": "Let x(r) = 15*r + 30. Let o be x(5). Is (o/(-10))/(-7)*3882/9 composite?", "a": "False" }, { "q": "Let p = 11476 - 7247. Suppose 16203 = 16*h - p. Is h prime?", "a": "True" }, { "q": "Is 14060 + 66/11 + 5 composite?", "a": "False" }, { "q": "Let r = 37 - 47. Let o be 2*(-4)/r*-1145. Let x = o - -1503. Is x a prime number?", "a": "True" }, { "q": "Suppose 0 = 3*v - 5*x - 58724, -2*v + 4*x + 25263 = -13883. Is v prime?", "a": "True" }, { "q": "Let n = -2362 - -2601. Is n composite?", "a": "False" }, { "q": "Let z(n) = -7999*n**3 - 2*n**2 - 2*n - 2. Is z(-1) prime?", "a": "False" }, { "q": "Suppose -21*d - d + 517881 + 194897 = 0. Is d composite?", "a": "True" }, { "q": "Suppose -16*p - 82725 = -390485. Is p prime?", "a": "False" }, { "q": "Let c = 262434 + 75749. Is c a prime number?", "a": "True" }, { "q": "Let z = -170869 + 276482. Is z composite?", "a": "False" }, { "q": "Let t(y) = -2886*y - 55. Let i(a) = -962*a - 19. Let s(c) = -17*i(c) + 6*t(c). Is s(-1) composite?", "a": "True" }, { "q": "Let l(x) = 562*x + 1119. Is l(7) a prime number?", "a": "False" }, { "q": "Suppose 3*b + 10918 = w, -3*w + 32724 = b - 4*b. Is w a composite number?", "a": "False" }, { "q": "Let t(v) = -3*v**2 + 22*v - 3. Let c(b) = 9*b**2 - 65*b + 9. Let h(a) = -3*c(a) - 8*t(a). Let j be h(6). Is (-2)/(-4)*(253 + (j - 2)) prime?", "a": "True" }, { "q": "Let y = -2029 - -10098. Is y a prime number?", "a": "True" }, { "q": "Suppose 108797 = 9*w - 525604. Is w composite?", "a": "False" }, { "q": "Is 2 + (84050/35 + 7 - 12/(-21)) composite?", "a": "False" }, { "q": "Let b(l) = -9*l**3 - l**2 - 7*l + 6. Let c(z) = 9*z**3 + z**2 + 7*z - 5. Let q(t) = -3*b(t) - 2*c(t). Is q(3) a prime number?", "a": "False" }, { "q": "Let s = 10 - 7. Suppose -2*l - i - 197 = -s*l, 4*l - 788 = 2*i. Suppose -57 - l = -2*y. Is y composite?", "a": "False" }, { "q": "Suppose 10*n - 397187 = -187791 + 448154. Is n composite?", "a": "True" }, { "q": "Is (14505705/75)/(12/20) composite?", "a": "False" }, { "q": "Let y = -178 - -183. Is (177/y)/(-1 - 24/(-20)) composite?", "a": "True" }, { "q": "Let i(z) = -744*z - 27. Let m be i(-4). Let l = -230 + m. Is l a composite number?", "a": "False" }, { "q": "Let o = 312571 + -174294. Is o a prime number?", "a": "False" }, { "q": "Suppose -d - 26169 = 3*t, -d - 4*d + 4*t = 130845. Is (-1)/8 - d/8 prime?", "a": "True" }, { "q": "Suppose 0 = -5*c - 4*o + 2120, 5*c + 0*o - 2155 = 3*o. Let j = 113 + c. Is j a prime number?", "a": "True" }, { "q": "Let g(d) = -4*d**3 - 4*d**2 - 2*d + 3. Let i be (-5 - -4) + 1 + -5. Let h be g(i). Suppose 4*v + 2*t - h = v, -4*v - t + 559 = 0. Is v prime?", "a": "False" }, { "q": "Suppose 3*g + 0 = 4*c + 4, -4*c = -8. Suppose -g*a + 11810 = -2*a. Is a a prime number?", "a": "False" }, { "q": "Let x = 14 - 10. Suppose -4 + 12 = x*z. Suppose -z*p = -22 - 132. Is p a composite number?", "a": "True" }, { "q": "Suppose 0 = -h + 64 + 185. Let g = 88 + h. Is g prime?", "a": "True" }, { "q": "Let s(i) = 2*i**2 - 10*i + 3. Let h be s(5). Let f = h - -4. Let x(q) = 111*q + 20. Is x(f) prime?", "a": "True" }, { "q": "Let j(k) = 276*k - 20. Let u be j(6). Let r be 46/10 - 12/(-30). Suppose u = -b + r*b. Is b a prime number?", "a": "True" }, { "q": "Let h(t) = -10*t**2 - 2*t - 4. Suppose -7*o + 3*o - 8 = 0. Let l be h(o). Let g = l + 99. Is g prime?", "a": "True" }, { "q": "Suppose -14*y + 24*y - 2144891 = -9*y. Is y a composite number?", "a": "True" }, { "q": "Suppose 0 = 8*m + 39*m - 6*m - 3968677. Is m a composite number?", "a": "False" }, { "q": "Suppose -18 - 1 = 5*w + 4*a, 4*w + 10 = 2*a. Let p = 19 - 28. Is p/w + 96/9*6 composite?", "a": "False" }, { "q": "Suppose 4*j = 20, -86*z + 82*z = -j - 36663. Is z a prime number?", "a": "False" }, { "q": "Let v(z) = -z - 8. Let x be v(-10). Suppose 0 = -5*r + 4*b, x*r - 2*b = -b + 3. Suppose 3*j - 4*i + 166 = r*j, 2*j - 371 = 5*i. Is j prime?", "a": "False" }, { "q": "Is ((-1250291)/35 + (-4)/10)/(-8 + 7) a composite number?", "a": "True" }, { "q": "Let m(q) = 10 + 7 - 17*q - 1 + q**2. Let l be m(15). Is (-7)/(l/908) - 0 prime?", "a": "False" }, { "q": "Let q(u) = 23545*u**2 - 5*u + 11. Is q(-2) a prime number?", "a": "True" }, { "q": "Let k(o) = 89*o**2 - 4*o - 8. Let h be k(-28). Suppose -19*j = j - h. Is j a prime number?", "a": "False" }, { "q": "Suppose 8*q = -i + 3*q + 96335, i - q = 96329. Suppose 24*u - 55854 = i. Is u prime?", "a": "False" }, { "q": "Suppose 10146 + 8222 = -2*g. Let w = 13049 + g. Is w composite?", "a": "True" }, { "q": "Let m(z) = 7*z - 40. Let a be m(6). Suppose -5*l + 10267 = -2*u, -a*l + 3*u + 2232 = -1877. Is l a composite number?", "a": "False" }, { "q": "Suppose 2*f + 108 = 3*l - 0*l, 2*f = -2*l - 128. Is -5*2/f + (-13839)/(-18) composite?", "a": "False" }, { "q": "Let j(f) = 2*f**2 + 25*f + 17. Let i be j(-12). Suppose 0 = 2*h + 2*h - i*q - 18208, -4*q = 2*h - 9078. Is h composite?", "a": "False" }, { "q": "Let f = 63 - 8. Let m = 48 + f. Is m composite?", "a": "False" }, { "q": "Let m(h) = 5*h - 4 + 13 + 12 - 3. Let r be m(6). Suppose 2*t + 2*i - 262 = r, 147 = t + 5*i. Is t prime?", "a": "True" }, { "q": "Suppose 25*v - 10062 - 118038 = 0. Suppose -3*l = 3*o - v, 0 = 3*l - 14*o + 10*o - 5145. Is l a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*h + 878 - 266. Suppose 7*w - h - 449 = 0. Is w prime?", "a": "False" }, { "q": "Let q = 55722 - 29701. Is q prime?", "a": "True" }, { "q": "Let v = -692005 + 1100060. Is v composite?", "a": "True" }, { "q": "Suppose -2*t = -7*t - 4*g + 3965, -3*g + 15 = 0. Let p = 2060 - t. Is p a composite number?", "a": "True" }, { "q": "Let f(w) = 2101*w + 135. Let h be f(12). Let j = -8920 + h. Is j composite?", "a": "False" }, { "q": "Is (-1)/8*-4*-10 + (-1569288)/(-12) prime?", "a": "True" }, { "q": "Let o(m) = -81*m**3 - m**2 + m + 1. Let c be o(-1). Suppose 6*z + c = -4*z. Is (716/6)/(z/(-12)) composite?", "a": "False" }, { "q": "Suppose 0 = -4*k + 14*k - 150. Suppose -1 = 2*u - u - s, -k = -3*s. Suppose -3*n + 3495 = -u*g - 1528, -4*n + 6694 = -2*g. Is n a prime number?", "a": "False" }, { "q": "Let y(a) = 22*a + 14. Let t be y(-5). Let g = 1183 + t. Is g composite?", "a": "False" }, { "q": "Let q(n) = 4*n + 28. Let m be q(-7). Suppose m = 4*s - 9 - 3. Suppose 0 = s*u - 530 - 259. Is u a composite number?", "a": "False" }, { "q": "Let s be ((-25)/(-10))/(20/96). Suppose -s*t = -17734 - 19910. Is t a prime number?", "a": "True" }, { "q": "Let m(l) = l**2 - 7*l - 2. Let d be m(8). Suppose -d*h - 4 = -4*h. Is (h/(-3)*3561/2)/1 composite?", "a": "False" }, { "q": "Is 11 - 10 - 2 - -9354 prime?", "a": "False" }, { "q": "Let a = 42 - -152. Suppose 1062 + a = 4*t. Suppose 3*p - t - 259 = 0. Is p composite?", "a": "False" }, { "q": "Is 1111968/15 + -12 + (-1003)/(-85) composite?", "a": "False" }, { "q": "Let n(i) = 3 - 1 + 23*i - 24*i. Let u be n(-2). Is (45 - u) + (-1 - 3) a composite number?", "a": "False" }, { "q": "Is (-108)/(-21) + -5 - (-2072900)/70 a prime number?", "a": "False" }, { "q": "Let y be (-339)/11 - -6 - (-2)/(-11). Let q(l) = -l**3 - 21*l**2 - 4*l + 27. Is q(y) composite?", "a": "True" }, { "q": "Let t(y) = 5177*y - 1273. Is t(10) a prime number?", "a": "True" }, { "q": "Suppose 529117 = 8*t - 77419. Is t composite?", "a": "True" }, { "q": "Let j = 5190 + -3687. Let g = j - 982. Is g composite?", "a": "False" }, { "q": "Let y(a) = a**3 - 12*a**2 + 6*a + 17. Let k(w) = -2*w**3 + 24*w**2 - 13*w - 33. Let m(h) = -3*k(h) - 5*y(h). Let j be m(11). Is (-1258)/j*1*(5 - 1) composite?", "a": "True" }, { "q": "Suppose 5*a - 133 = -k, 3*a + 43 = -4*k + 133. Let c = a + -24. Suppose 10*f = c*f + 472. Is f a composite number?", "a": "False" }, { "q": "Is -11442*(305/30 - 15) a composite number?", "a": "True" }, { "q": "Is (-1)/(2/(-20588))*6/(4 + 8) a composite number?", "a": "False" }, { "q": "Let j = 10750 - 4677. Is j composite?", "a": "False" }, { "q": "Suppose x = 36035 + 55692. Is x prime?", "a": "False" }, { "q": "Let b(t) = -640*t + 675. Is b(-11) a composite number?", "a": "True" }, { "q": "Let o(u) = -u**2 + u + 8. Let r be o(3). Suppose 5*b = -20, 17257 = r*l + l + 2*b. Is l prime?", "a": "False" }, { "q": "Let x = -8329 - -11787. Suppose q = 5*k + 1759, -11*q + 5*k = -13*q + x. Is q composite?", "a": "True" }, { "q": "Let q be (-3 - 1)*((-7)/(-2) + -3). Is (q/(-3))/((-2)/(-7269)) composite?", "a": "False" }, { "q": "Let y(h) = -7*h + 2*h**2 + 0 - 7 + 7*h**2 + h**2. Let a be y(-8). Suppose -5*v + 3*z + a = 0, -4*v + z - 42 + 596 = 0. Is v composite?", "a": "False" }, { "q": "Is 1509/4 - (-4 - 51/(-24)*2) a prime number?", "a": "False" }, { "q": "Let u be (-2)/(3/18*-3). Suppose -4*n - j + u*j - 3 = 0, 2*j = n + 2. Suppose -1763 = -3*o - n*h - 2*h, 0 = 2*o - h - 1187. Is o prime?", "a": "False" }, { "q": "Let z = -6092 - -20562. Suppose -5*r = 3*f - z, 0 = r + 2*f - f - 2892. Is r prime?", "a": "True" }, { "q": "Suppose 27*w - 21*w = 25572. Let g = -1939 + w. Is g a composite number?", "a": "True" }, { "q": "Let n(p) = 2*p**2 - 3*p - 17. Let u be n(-4). Suppose 2292 - 87693 = -u*g. Is g a composite number?", "a": "False" }, { "q": "Let k = -6198 + 13987. Is k a prime number?", "a": "True" }, { "q": "Is (-706530238)/(-3738) - 2/(-21) composite?", "a": "True" }, { "q": "Let l(q) = 14*q**3 + 4*q**2 + 3*q - 15. Let h be l(4). Is h/3 + -6 + -6 a composite number?", "a": "False" }, { "q": "Let d(f) = -215*f + 672. Is d(-23) a prime number?", "a": "False" }, { "q": "Let n = -11 + 10. Is 1 + n - (-89*32 + 5) a composite number?", "a": "False" }, { "q": "Let h = -124 - -252. Let q = 354 + h. Is q composite?", "a": "True" }, { "q": "Suppose -8*n + 5*n = -15. Suppose 5*i - 25 = -5*v, v + n = 2*v - 4*i. Suppose v*q - 4*d = 1118, -3*q = 3*d - 2*d - 681. Is q prime?", "a": "False" }, { "q": "Suppose -4*d - 7*i + 4*i = -142681, -142682 = -4*d - 2*i. Is d a prime number?", "a": "True" }, { "q": "Suppose 44096 = -78*x + 84*x + 14318. Is x a composite number?", "a": "True" }, { "q": "Let n(w) = 479*w**2 - 109*w - 685. Is n(-6) composite?", "a": "True" }, { "q": "Is -1*2149*-1 - (13 - 7 - 10) composite?", "a": "False" }, { "q": "Let u(s) = -s**3 - 8*s**2 + 10*s - 9. Let b be u(-11). Suppose -y + 3273 - b = 0. Is y a prime number?", "a": "False" }, { "q": "Let k(x) = -934*x + 1551. Is k(-38) a prime number?", "a": "False" }, { "q": "Suppose 0 = -3*g - 4*l + 24653, g + 4*g = 2*l + 41097. Is g prime?", "a": "True" }, { "q": "Suppose 0 = 4*y - 5*q + 171467 - 805448, -2*y = 5*q - 316953. Is y a prime number?", "a": "True" }, { "q": "Let p = -10498 + 47105. Is p a composite number?", "a": "False" }, { "q": "Let x(r) = -4*r**3 + 5*r**2 + 2*r - 1. Let y be x(-1). Let m(b) = 836*b - 135. Is m(y) a composite number?", "a": "True" }, { "q": "Is -2*(-5)/10*327619 a composite number?", "a": "False" }, { "q": "Let b(q) = -2*q**3 + 17*q**2 + 10*q - 1. Let l be b(9). Is 11160/l + (1 - -2 - -1) a prime number?", "a": "True" }, { "q": "Suppose 249414 = -47*k + 5900365. Is k a composite number?", "a": "False" }, { "q": "Suppose 0*s - 5*s = 0. Suppose 5*c + 5541 - 29561 = s. Suppose 2*k = -2*k + c. Is k composite?", "a": "False" }, { "q": "Let c = -4471 + 8687. Let p = c - 1263. Is p a prime number?", "a": "True" }, { "q": "Suppose -29 = 6*k - 71. Let o(j) = j**3 + 9*j**2 - j + 10. Is o(k) a prime number?", "a": "True" }, { "q": "Let g = 26936 + -10629. Is g a prime number?", "a": "False" }, { "q": "Suppose 35*q = 284888 + 199617. Is q prime?", "a": "False" }, { "q": "Suppose 3*l = -5*m + 33559, -m + 7200 = 5*l - 48717. Is l prime?", "a": "False" }, { "q": "Let c = 45375 + -32084. Is c a prime number?", "a": "True" }, { "q": "Let r = 9330 - 4783. Let h be -3 + 1 + 7*1. Suppose 5*a + 2*m - r = h*m, -887 = -a - 5*m. Is a a composite number?", "a": "False" }, { "q": "Suppose 2*h = 12*h - 545120. Suppose -8*i = 8*i - h. Is i a prime number?", "a": "True" }, { "q": "Suppose 2*b = -0*b + 48. Is (-3 + 95)*534/b prime?", "a": "False" }, { "q": "Is 329613 - 0 - ((-16)/(-24))/((-2)/12) composite?", "a": "False" }, { "q": "Let n = -103659 + 160264. Is n a composite number?", "a": "True" }, { "q": "Let p be (49 + -4)/3*-1. Let a(b) = -b**2 - 13*b + 30. Let k be a(p). Suppose k = -5*x - h + 4058, 3*x + 3*h - 2424 = 6*h. Is x a composite number?", "a": "False" }, { "q": "Let q(m) = 301*m**2 + 93*m + 7. Is q(-15) a prime number?", "a": "True" }, { "q": "Let q(g) = 293*g + 3. Suppose -4*y + 49 = 3*z, -8*y + 5*z + 25 = -4*y. Suppose 2*v = -3*v + y. Is q(v) prime?", "a": "False" }, { "q": "Suppose n - 21*n + 2052249 + 334811 = 0. Is n a composite number?", "a": "True" }, { "q": "Let t = -13241 + 29494. Is t composite?", "a": "False" }, { "q": "Is (-11333)/(-4) + (3/4)/(-3) a prime number?", "a": "True" }, { "q": "Let s(j) = 36*j**2 - 79*j + 81. Is s(29) a prime number?", "a": "False" }, { "q": "Is 1177578/30 + ((-170)/(-50) - (0 + 3)) prime?", "a": "False" }, { "q": "Is 5780 + 5 + -3 + -3 a prime number?", "a": "True" }, { "q": "Suppose -3*t + 174 = -3*j + 3, -3*t + 4*j = -174. Let q = 183 + t. Suppose -3442 = -5*m - q. Is m a prime number?", "a": "True" }, { "q": "Let b be 1 + 1 - (3 - 0). Let m be (2 - 2) + -11 + b/(-1). Is 1/5 + (2 - 2908/m) a prime number?", "a": "True" }, { "q": "Is 12/(-15) + (-36325485)/(-75) composite?", "a": "False" }, { "q": "Let g(j) = -667*j**3 + 73*j**2 + 5. Is g(-4) composite?", "a": "True" }, { "q": "Suppose -5*w - 4*c + 55086 = -6*c, 0 = 4*w - 3*c - 44073. Suppose -5*b - 4*b = -w. Suppose 4*k + b = 4*i, -2*i - k = -2*k - 615. Is i prime?", "a": "False" }, { "q": "Let t = 332884 + -119447. Is t composite?", "a": "True" }, { "q": "Let s(z) = -z + 8. Let x be s(-12). Let a = x + -17. Suppose -3*o + 622 = -5*k, 0 = -2*o + a*k - 2*k + 403. Is o prime?", "a": "True" }, { "q": "Let o = 77 - 80. Is (1/o)/((-11)/60951) a composite number?", "a": "False" }, { "q": "Suppose -t + 2*z = -6*t + 17, 4*t - 4*z = 36. Let p = 8352 - 3820. Suppose -i + p = 5*j - 4*i, j - 902 = t*i. Is j composite?", "a": "False" }, { "q": "Suppose -30 = -5*j + 4*x, -3*j + 0*x - 4 = 2*x. Let p(n) = 331*n**3 + 2*n**2 + 3*n - 5. Is p(j) a composite number?", "a": "False" }, { "q": "Suppose -3*g + 101 = -2*s, -81 = -2*g + 5*s + 1. Suppose -3*b = -2*b + 4*o - 5, 0 = -4*b + o - g. Let i = 122 + b. Is i composite?", "a": "True" }, { "q": "Let m(r) = 42*r + 119. Let w be (24/16)/((-3)/(-44)). Is m(w) a prime number?", "a": "False" }, { "q": "Let r = 53 + -46. Let a be (-6)/(-21) - r/(147/(-120)). Suppose a*m = -m + 98. Is m prime?", "a": "False" }, { "q": "Is 10302 + 48/(96/8) a prime number?", "a": "False" }, { "q": "Suppose 0 = -27*u + 21318 + 49773. Is u prime?", "a": "True" }, { "q": "Let z(n) = 7*n**2 + 3*n - 2. Let m be z(1). Let p be ((-6)/m)/(5/(-4020)). Suppose p = 10*b + 53. Is b a prime number?", "a": "False" }, { "q": "Suppose -30 = -4*o - 2*o. Suppose o*v - v - 8 = -3*l, 3*v + 2*l = 6. Suppose 5*u + 0*u + 260 = j, v*j - 490 = 4*u. Is j a prime number?", "a": "False" }, { "q": "Let l(v) = -v. Let z(u) = 26*u**2 - 31*u - 9. Let o(y) = -6*l(y) + z(y). Let t be o(-19). Is t/21 - 1/7 composite?", "a": "True" }, { "q": "Let a = 48 - 44. Let h be (4 - 1)*(a - 3). Suppose -o + 418 = h*n, 4*n + 1343 = 3*o + 128. Is o composite?", "a": "False" }, { "q": "Is ((-2)/4)/((-2016115)/(-1008066) - 2) a prime number?", "a": "False" }, { "q": "Let n(v) = v**2 + 5*v + 11. Let o be n(-3). Let t(w) = 995*w + 12. Is t(o) a prime number?", "a": "True" }, { "q": "Let k(m) = m**3 + m**2 - m + 583. Suppose -2*i = 4, -f + 4*i = 8*i + 4. Suppose -s = -f*s. Is k(s) a composite number?", "a": "True" }, { "q": "Let h(y) = y**2 + 6*y + 4. Let p be h(-6). Let a(u) = 4*u**2 - 5*u + 2*u - p*u - 1 - 3*u. Is a(-7) a composite number?", "a": "True" }, { "q": "Suppose 690 = 15*n - 5*n. Is 34/(-6)*n*(-1)/1 prime?", "a": "False" }, { "q": "Suppose 5*y - 101937 = 10*y - 16*y. Is y prime?", "a": "False" }, { "q": "Is (-136)/(-204)*93843/6 prime?", "a": "True" }, { "q": "Let u(s) = -s**2 + s + 4. Let w be u(0). Suppose w*h = -g + 71, g + 5*h - 102 = -36. Suppose g = -4*j + 215. Is j a composite number?", "a": "False" }, { "q": "Let d = -44 - -54. Let m be 0 - 1 - (d + -11). Suppose m = -s + 6*s - 7715. Is s prime?", "a": "True" }, { "q": "Is (-2)/(-24)*-3*-59564 a prime number?", "a": "True" }, { "q": "Suppose 5*s + 2*b - 37 = 0, 0 = -0*s - s + 5*b + 2. Let u = s + -3. Suppose -u*z + 9723 = -2345. Is z composite?", "a": "True" }, { "q": "Let w(i) = 4*i**2 - 3*i**2 - 2 - 3*i**2 + 5*i. Let a be w(3). Let y(j) = 2*j**2 + 10*j + 3. Is y(a) a prime number?", "a": "True" }, { "q": "Let o = 990 - -654. Suppose -a = -4*d + o, d + 2*a = 235 + 176. Is d prime?", "a": "False" }, { "q": "Is ((-5)/20)/(6/(-717720)) a composite number?", "a": "True" }, { "q": "Let d(j) = -j**3 - 8*j**2 - 9*j - 17. Let x be d(-7). Is (-10406)/(-6) - (-4)/x prime?", "a": "True" }, { "q": "Let b = 166 + -167. Is (16662/24)/(b/(-4)) composite?", "a": "False" }, { "q": "Suppose -10*w - 8 = -8*w. Let s = -16 - w. Is (28/s - -3)*1239/2 composite?", "a": "True" }, { "q": "Let v = -32 - -20. Let h(m) = -2 + 1 + 2 - 9*m - 2 + 7*m**2. Is h(v) a prime number?", "a": "False" }, { "q": "Suppose 3*k - 16 = -6*g + 10*g, 4*k = 16. Suppose 0 = 3*p - 5*c + 1130, -2*p + 1545 = -6*p - c. Is (p/10)/(g/2) a composite number?", "a": "True" }, { "q": "Let a(j) = 6*j**3 + 7*j**2 + 18*j - 24. Let r be a(26). Suppose -8*u = -0*u - r. Is u a prime number?", "a": "True" }, { "q": "Let a be -13 + 4 - 2*(0 - 1). Is (-54)/126 + (-72754)/a a prime number?", "a": "False" }, { "q": "Let g(a) = 1602*a**2 + 5*a - 16. Let w be g(2). Let r = w - 3275. Is r a prime number?", "a": "False" }, { "q": "Let t(u) = 99*u + 88. Let j = -104 - -125. Is t(j) a prime number?", "a": "False" }, { "q": "Suppose -204*c = -198*c - 89538. Is c composite?", "a": "False" }, { "q": "Let r(w) = -7*w - 9 + 4*w + w - 10*w + 80*w**2. Is r(-4) composite?", "a": "False" }, { "q": "Suppose 3*o - 12 + 0 = -b, 0 = -2*o - 4*b - 2. Is (1337/7)/(o/35) a prime number?", "a": "False" }, { "q": "Suppose -7*k + 0*k - 4628654 = -89*k. Is k a prime number?", "a": "False" }, { "q": "Let g = -4 + -1. Let z be 10/(-4) + g/(-10). Is 0 + z + 4 - -175 composite?", "a": "True" }, { "q": "Is (-7293316)/(-1032) + 1/(12/(-2)) a composite number?", "a": "True" }, { "q": "Suppose 6*s = h - 26999, -2*h - 106*s + 107*s = -53965. Is h composite?", "a": "False" }, { "q": "Let f be ((-3)/(-4 - -1))/(1/13). Let w be (-3)/2 + ((-119262)/(-12))/f. Is (6/21 - (-4)/(-14)) + w prime?", "a": "False" }, { "q": "Let k(y) = -y**2 - 5*y - 4. Let b be k(10). Let i = 4113 - b. Is i prime?", "a": "False" }, { "q": "Suppose j = 2*j + 13. Let f be (-8)/(-10) - (-1064)/20. Let i = f - j. Is i composite?", "a": "False" }, { "q": "Let h = -10379 + 19522. Is h composite?", "a": "True" }, { "q": "Suppose -4*u - 5*f - 12752 = 0, -4*u - 12780 = -2*f - 0*f. Let v = u + 5510. Is v a composite number?", "a": "True" }, { "q": "Let z = -39245 - -56862. Is z prime?", "a": "False" }, { "q": "Suppose -38254 = -7*d + 8*d. Suppose 113 - 47 = 3*m. Is (-12)/(-66) - d/m a prime number?", "a": "False" }, { "q": "Let j(b) be the second derivative of b**5/60 - b**4/12 + 1411*b**3/6 - 8*b**2 + 3*b. Let y(n) be the first derivative of j(n). Is y(0) a prime number?", "a": "False" }, { "q": "Let f(t) = t + 7. Suppose -11 = 5*s + 79. Let a be f(s). Let p = 130 - a. Is p composite?", "a": "True" }, { "q": "Suppose -3*q - 4 = -2*p, 16 = 3*q + 5*p - 3*p. Suppose -c + 4*c = 2223. Suppose 4*n - 1487 = l, q*n + c = 4*n - l. Is n prime?", "a": "True" }, { "q": "Let i = 201 - -28. Let n = -1144 - -1213. Suppose -c + n = -i. Is c a composite number?", "a": "True" }, { "q": "Suppose 2*a + w - 28101 = 0, -a = a + 4*w - 28098. Is a composite?", "a": "False" }, { "q": "Let g(l) = 1 + 422*l**3 + 288*l**3 + 107*l**3. Let o be g(1). Is (14/(-4) - -4)*o a composite number?", "a": "False" }, { "q": "Let b(r) = -701*r + 321. Is b(-28) a prime number?", "a": "True" }, { "q": "Let t(p) = p**2 + 11*p - 32. Suppose 3*u = -6, n + 5 = 3*u + 2*u. Let i be t(n). Suppose -s - i = -195. Is s prime?", "a": "True" }, { "q": "Let s(i) = i**3 - 10*i + 2. Let u be s(-3). Suppose -4*q + 2*g = -2*g - 232, 0 = -u*g. Is q a prime number?", "a": "False" }, { "q": "Suppose 4*f + 10661 = -13883. Let z = f + 10373. Is z a composite number?", "a": "True" }, { "q": "Let b(x) = -18*x - 1. Suppose 3*a - 50 = -u, 3*u - a + 292 = 8*u. Suppose 5*h + u = 19. Is b(h) a prime number?", "a": "False" }, { "q": "Let d = 187216 + -68835. Is d a prime number?", "a": "False" }, { "q": "Let k(p) = 20*p**2 - 13*p - 5. Let t(g) = g**3 + 4*g**2 - 1. Let f be t(-3). Let i be k(f). Suppose 83 = 6*d - i. Is d composite?", "a": "True" }, { "q": "Is -1007*(0 + -127) - ((3 - -8) + -7) prime?", "a": "False" }, { "q": "Let j(a) be the first derivative of 7 + 2*a - 2*a**2 + 421/3*a**3. Is j(1) a prime number?", "a": "True" }, { "q": "Let t be (-1)/((-8)/60)*326*5. Suppose 5*m - 7720 = t. Is m prime?", "a": "True" }, { "q": "Let v = 16981 + 143118. Is v a prime number?", "a": "False" }, { "q": "Let g(z) = -z**3 + 18*z**2 - 19*z + 30. Let u be g(17). Let h be (-15)/(-5)*u/6. Is h/5 + 1708/20 composite?", "a": "True" }, { "q": "Suppose 119*j + 4*q = 122*j - 607663, q = -3*j + 607643. Is j a composite number?", "a": "False" }, { "q": "Suppose -3*w + 2 = -2*p, -5*w - p + 14 = p. Suppose w*h = -5*s + 59, 40 = 5*s - s - 2*h. Suppose -8*q + s*q = 537. Is q a composite number?", "a": "False" }, { "q": "Suppose -5*s = -8*s + 9. Suppose p + s*p = 892. Suppose -2*l + 31 = -p. Is l a composite number?", "a": "False" }, { "q": "Let u be (-9)/(-7) - 1 - 46312/196. Let t = u - -850. Is t a prime number?", "a": "False" }, { "q": "Suppose -4*v + 2317 = -4*k + 16025, 0 = 4*k - 5*v - 13707. Let f = k - 265. Is f a prime number?", "a": "True" }, { "q": "Suppose -5*l = 2*b - 279817, 2 = -38*b + 40*b. Is l composite?", "a": "True" }, { "q": "Let w(u) = 823*u + 1646. Is w(65) a composite number?", "a": "True" }, { "q": "Suppose -h + 8 = -2*a, 2*h + 40 = 7*h + 5*a. Suppose 0 = 4*s - 2*w - h, -2*s + w = 2*w - 12. Let x(r) = 7*r**3 - 6*r**2 + 4*r + 5. Is x(s) prime?", "a": "True" }, { "q": "Suppose 0 = -2*k - 5*r + 43289, -64937 = -3*k - 9*r + 5*r. Is k prime?", "a": "True" }, { "q": "Is 1/((-12)/2910)*42/(-15) composite?", "a": "True" }, { "q": "Suppose -402 + 377 = -5*i, i + 38496 = c. Is c composite?", "a": "False" }, { "q": "Suppose 0*t = -2*t + 6. Suppose 6 = -t*q + 6*q + 5*r, -4 = -2*q + 4*r. Suppose -2*h + q*f + 14 = 0, -5*h + 6*f = 2*f - 35. Is h a composite number?", "a": "False" }, { "q": "Suppose 4*p - p - 720 = 0. Suppose -p = -5*z + 180. Suppose -6*h + 5958 - z = 0. Is h composite?", "a": "True" }, { "q": "Let l = 26357 + -2016. Is l a composite number?", "a": "True" }, { "q": "Suppose -2*m - 30*n + 28*n = -377828, -2*n = -10. Is m prime?", "a": "False" }, { "q": "Let t = -132273 - -241604. Is t composite?", "a": "False" }, { "q": "Let p(c) = 2*c - 23. Suppose 0 = 3*f - 37 - 5. Let l be p(f). Suppose 9*g = l*g + 3004. Is g a composite number?", "a": "False" }, { "q": "Let m be ((-3)/(-2))/((-42)/280). Let k(r) = r**3 + 13*r**2 - 6*r + 23. Is k(m) a composite number?", "a": "False" }, { "q": "Let t = 7 + 0. Suppose 0 = 3*y - t*y. Is (y - 0 - -1)*(325 - -4) composite?", "a": "True" }, { "q": "Suppose -o - 6 = -3*o - h, 4*h = 0. Let l be (-35)/(-14) + (o/6)/1. Suppose 3*x = -2*x + 5*b + 1495, l*x + 3*b = 909. Is x a composite number?", "a": "True" }, { "q": "Let z(f) = f**2 - 8*f + 1. Let q be z(8). Suppose 3*u - q = 14. Suppose -2*d + 4*m - 1750 = -4*d, -u*m - 4300 = -5*d. Is d composite?", "a": "True" }, { "q": "Suppose 2*s - 55 = 5*f, s = -2*s - f + 40. Let m(v) = 4*v**2 + 33*v - 3. Let c(n) = 2*n**2 + 17*n - 2. Let t(i) = 13*c(i) - 6*m(i). Is t(s) a composite number?", "a": "False" }, { "q": "Let u(f) = -3*f - 15. Let n be u(-6). Is (-5456)/(-6) + -3 + 2/n a prime number?", "a": "True" }, { "q": "Let f(c) = 789*c. Let l be f(-2). Let t(r) = -34*r**3 - 3*r**2 + 5*r - 3. Let b be t(1). Let g = b - l. Is g a composite number?", "a": "False" }, { "q": "Let h(a) = -a**2 + 3*a + 9. Let s be h(4). Suppose -s*g + 14087 = -4*p, g - 2781 = -4*p + 22. Is g a prime number?", "a": "False" }, { "q": "Suppose 2*f - 6 = -2*w + 2, -5*f + 2*w - 8 = 0. Suppose 2*c + 10 = -f. Let g(d) = 3*d**2 - 6*d + 4. Is g(c) prime?", "a": "True" }, { "q": "Suppose 4*y = 97 - 37. Let k be (-9126)/10 - (-9)/y. Let j = -581 - k. Is j a composite number?", "a": "False" }, { "q": "Let m = 37 - 34. Suppose -2*t - 5*j = -10179, 3*j + 25432 = -m*t + 8*t. Is t composite?", "a": "False" }, { "q": "Is ((-3)/2)/(654/(-5810572)) a composite number?", "a": "False" }, { "q": "Let c = -11 - -17. Let w be ((-4)/(-3))/(4/c). Suppose 751 = 2*s + w*s - d, 175 = s + 4*d. Is s a composite number?", "a": "True" }, { "q": "Let j = 182 - 178. Suppose -3*o = -4*y - 323, -444 = -4*o + j*y - 2*y. Is o prime?", "a": "True" }, { "q": "Let s(m) = -4054*m - 19. Let t be s(-5). Is (t/(-14))/((-2)/4) composite?", "a": "True" }, { "q": "Suppose -27*w - 4 = -28*w. Suppose 2*p + 2887 = 2*m - 3813, 13407 = w*m + 3*p. Is m a composite number?", "a": "True" }, { "q": "Is 40058 - ((-49)/21 + 3)/(4/(-30)) a prime number?", "a": "True" }, { "q": "Let m(b) = 123*b**2 - 12*b - 1. Let s be m(5). Suppose 5*y + s = 16*y. Is y prime?", "a": "False" }, { "q": "Let p(s) = 612*s**2 - 2*s + 1. Let m be p(-4). Is 2/(42/m) - (-4)/14 a prime number?", "a": "True" }, { "q": "Let h(n) = -25261*n + 2328. Is h(-5) composite?", "a": "True" }, { "q": "Let b = 406748 - 228725. Is b a prime number?", "a": "False" }, { "q": "Let f be 24/18*1/(-2)*-3. Suppose f*w + 3*w = -4*k + 2219, 2*w - 4*k - 910 = 0. Is w a prime number?", "a": "False" }, { "q": "Let c(s) = 2*s**2 - 8*s + 26. Let a be c(6). Is (-5496)/(-5) + (a/(-5))/50 composite?", "a": "True" }, { "q": "Let i(f) be the second derivative of -2*f**3/3 + 9*f**2/2 - 27*f. Is i(-11) composite?", "a": "False" }, { "q": "Suppose -8543 = -10*c + 9817. Suppose 28*w = 96 + c. Is w a composite number?", "a": "True" }, { "q": "Suppose 5 - 113 = -6*z. Is (9442/5)/(z/45) prime?", "a": "True" }, { "q": "Let n be 256/24*30/8. Let s(a) = 11 + 8 - 13*a + n*a + 76*a. Is s(10) a prime number?", "a": "True" }, { "q": "Let l be 6*(-6)/9*(-569)/4. Let a = l + 896. Is (a/(-15))/((-3)/9) composite?", "a": "False" }, { "q": "Let t(g) = -3*g + 1. Let h be t(9). Let f = h + 28. Is f + 11*-13*(-6 - -5) composite?", "a": "True" }, { "q": "Let s = -33 - -39. Let z(k) = -11 - 5*k**2 - s*k - k**3 + 6*k**3 - k**3 - 3*k. Is z(5) prime?", "a": "False" }, { "q": "Let y = -3152 + 4303. Is y a composite number?", "a": "False" }, { "q": "Let o(j) = 5*j + 1693. Let r(q) = q**3 + 13*q**2 - 14*q. Let f be r(-14). Is o(f) composite?", "a": "False" }, { "q": "Let k be (1 + 1)*(-2 - 3)*-10. Let x = k + -201. Let a = -19 - x. Is a prime?", "a": "False" }, { "q": "Let h(p) = -22*p**3 + 7*p**2 + 4*p + 19. Let v(y) = -23*y**3 + 7*y**2 + 5*y + 20. Let i(z) = -7*h(z) + 6*v(z). Is i(4) a composite number?", "a": "False" }, { "q": "Suppose 0 = -o - 1, -p - o - 1427 = -15255. Is p composite?", "a": "False" }, { "q": "Let b(w) = w**2 - 9*w - 25. Let d be b(11). Is 2/12*d*(-49892)/2 prime?", "a": "True" }, { "q": "Suppose 2 = -17*c + 36. Suppose -c*h + 1172 = 2*d - 4*h, 1175 = 2*d + h. Is d a prime number?", "a": "True" }, { "q": "Suppose -q + 3*o + 1 = 2, -2*q = 5*o - 20. Suppose -2*h - 232 - 33 = -u, -q*u = 2*h - 1289. Is u prime?", "a": "False" }, { "q": "Let u(w) = w**3 - 9*w**2 + 16*w - 19. Let j be u(13). Let l = -1475 + j. Let g = l + 1947. Is g a prime number?", "a": "False" }, { "q": "Is (0 + (-46 - 1))/((-70)/4130) a prime number?", "a": "False" }, { "q": "Let t be 2/6*(9 - 6) - -132. Let u = 1910 - t. Is u composite?", "a": "False" }, { "q": "Is 6/(72/(-44))*(-79796 + 5) prime?", "a": "False" }, { "q": "Suppose 4*l + 251145 = 4*b - 225735, -596110 = -5*b - 5*l. Is b a prime number?", "a": "False" }, { "q": "Suppose 9*l - 10*l - 2*g + 70939 = 0, 3*g = -2*l + 141878. Is l composite?", "a": "True" }, { "q": "Let n = -28525 + 52828. Suppose -6*g + 5*g - n = -5*k, 5*k - 24297 = 4*g. Is k composite?", "a": "False" }, { "q": "Let r(b) = 74*b**2 + 9*b + 404. Is r(21) a prime number?", "a": "False" }, { "q": "Suppose 157*v - 158*v = -w + 39924, -v + 5 = 0. Is w composite?", "a": "False" }, { "q": "Suppose -79131 = -3*g + 10*y - 9*y, -4*g + 4*y = -105508. Is g a composite number?", "a": "True" }, { "q": "Suppose p + 6 = 4*p. Let m be p/(-4)*(0 - 4). Is (19306/(-3))/(-7) - m/6 composite?", "a": "False" }, { "q": "Is 581244/(-3)*((-76)/(-16) - 5) a composite number?", "a": "False" }, { "q": "Suppose -4*i = 4*m + 169 + 35, m + 51 = -5*i. Let j = m + 49. Is j + -1 - -89 - -3 composite?", "a": "False" }, { "q": "Let f = 123532 + -51111. Is f a prime number?", "a": "True" }, { "q": "Is 8 + 570/(-75) - (-147953)/5 a prime number?", "a": "False" }, { "q": "Suppose -247*t = -249*t + 141458. Is t prime?", "a": "True" }, { "q": "Suppose 291*h + 4*o - 200333 = 286*h, -3*o = -4*h + 160285. Is h composite?", "a": "True" }, { "q": "Suppose -10*n = 8*n - 6408. Suppose 5*v + 7534 = 3*d, 2*d - v + n = 5381. Is d a composite number?", "a": "True" }, { "q": "Suppose 281*y - 315*y + 2564654 = 0. Is y a prime number?", "a": "True" }, { "q": "Suppose -2*x = 4, -3*i - x = 6 - 16. Let r be (3/i)/((-3)/(-12)). Is (679*(-2 + r))/1 a composite number?", "a": "True" }, { "q": "Suppose 2*j = -2*l + 8082, 139*j - 135*j = l + 16184. Is j a prime number?", "a": "False" }, { "q": "Let k be 1 - (-443 - (-1 + 2)). Let q = k - 266. Is q a composite number?", "a": "False" }, { "q": "Let k = -177 - -179. Is k/(35184/17586 - 2) a prime number?", "a": "False" }, { "q": "Let x = 202 + -101. Suppose -5*o + x = -34. Let z = o + 178. Is z a composite number?", "a": "True" }, { "q": "Let b = 243 + 408. Let t be (1 + 239)*8/(-6). Let j = t + b. Is j a composite number?", "a": "False" }, { "q": "Let l = 9319 + -4560. Is l prime?", "a": "True" }, { "q": "Let b be 3 + 2/2 + -4. Suppose 4*i + b*i = -1876. Is i/(-7) + 2/(-1) a prime number?", "a": "False" }, { "q": "Suppose i - 5*n = -0*n - 233, 4*i - n = -894. Let w = 114 - i. Is w a composite number?", "a": "False" }, { "q": "Suppose -529896 = -3*l + 4*j + 169163, -4*j + 699067 = 3*l. Is l a prime number?", "a": "True" }, { "q": "Let i(k) = -49*k - 5. Let c be 2/7 + (-220)/35. Let u be i(c). Suppose -2*s - 4*j = s - u, 0 = 3*s + j - 304. Is s a composite number?", "a": "False" }, { "q": "Let p(i) = 409*i**2 - 2*i - 4. Let z(u) = 5*u - 28. Let q be z(5). Is p(q) prime?", "a": "False" }, { "q": "Let x(h) = 10*h**2 + 2*h - 1. Suppose 4*z + 7*z = 11. Let k be x(z). Suppose -k*b - 807 = -14*b. Is b composite?", "a": "False" }, { "q": "Suppose 41*t = -12*t + 134885. Is t a composite number?", "a": "True" }, { "q": "Suppose 875 = -0*i + 5*i. Let c = 302 - i. Let p = c + 64. Is p a prime number?", "a": "True" }, { "q": "Suppose -133*u - 30 = -139*u. Suppose 23 = w + 3*h - 3662, u*w - 18489 = h. Is w prime?", "a": "True" }, { "q": "Suppose 90417 - 256905 - 84901 = -19*z. Is z a composite number?", "a": "True" }, { "q": "Let y(c) = -c - 5. Let b(k) = -k**3 - 8*k**2 - 6*k - 1. Let q be b(-7). Let n be y(q). Suppose 999 = n*i + 2*r, 0 = 5*i - 3*r + 8*r - 1670. Is i composite?", "a": "False" }, { "q": "Let a(i) be the second derivative of -20*i**3 - 2*i**2 + 12*i. Let c be a(-15). Suppose -5*n - p + 3*p = -2231, -4*n = 4*p - c. Is n composite?", "a": "True" }, { "q": "Suppose 6*u - 27*u = -63. Suppose 4*x - 24 = -4*a, 2*a - 13 = -2*x - a. Suppose u*k - 324 = x*d - 2, 2*d + 434 = 4*k. Is k a prime number?", "a": "True" }, { "q": "Suppose 43*h = 55*h - 60. Suppose 3*a - 8867 = h*o, 2*a = -5*o + 5473 + 455. Is a a composite number?", "a": "True" }, { "q": "Let x(i) = 2269*i**2 + 12*i - 12. Is x(1) composite?", "a": "False" }, { "q": "Let g = -9 + 12. Suppose -g*o + o + 2*n + 6 = 0, -4*n - 2 = -2*o. Suppose 0 = 4*l + o*p - 23, 3*l - 13 = 4*p + 12. Is l a composite number?", "a": "False" }, { "q": "Suppose 47*w = -9073 + 40610. Is w a composite number?", "a": "True" }, { "q": "Suppose 21*d - 22*d = -2*z + 65081, -3*d + 130147 = 4*z. Is z a composite number?", "a": "True" }, { "q": "Let v be -1*2/(-8) + 177366/328. Is (-4 + 0)*9/((-36)/v) composite?", "a": "False" }, { "q": "Suppose y - 24995 = -4*n, 3*n - 49980 = -183*y + 181*y. Is y prime?", "a": "False" }, { "q": "Let a = 12902 - 5821. Is a a composite number?", "a": "True" }, { "q": "Let y be (3 + -10)*12/(-14). Suppose -n + y*n - 4657 = h, h - 3 = 0. Suppose 2*c = -3*s - 0*s + n, 467 = c + s. Is c a prime number?", "a": "False" }, { "q": "Suppose -4*d - 4296 = -4*a, d = -2*a + 4*d + 2149. Let c(t) = -6*t - 54. Let n be c(-16). Let s = n + a. Is s composite?", "a": "True" }, { "q": "Suppose 24 = 5*g + 9. Suppose 2 - 8 = -4*p + 3*q, 0 = -g*p - 5*q + 19. Suppose 1 = -u, 3*f + p*u - 431 = -u. Is f a prime number?", "a": "False" }, { "q": "Suppose -3*j - 11205 = -3*b, b - 2143 = -5*j + 1604. Let g = 3403 - 5747. Let a = g + b. Is a composite?", "a": "True" }, { "q": "Let w(g) = -215*g**3 + 6*g**2 - 98*g - 472. Is w(-5) prime?", "a": "True" }, { "q": "Suppose 3*t + i - 7 = 2*i, -t - 4*i - 15 = 0. Is (1520 - -4 - t)/(5 + -4) prime?", "a": "True" }, { "q": "Suppose p + p = 4*b - 14, 0 = -2*b + 5*p + 3. Suppose -a - 4290 = -i - 0*a, -b*i = -a - 17145. Is i prime?", "a": "False" }, { "q": "Let a be (10/75 - (-163)/15) + 4. Is (-1)/(65/a - 4) + 590 prime?", "a": "True" }, { "q": "Suppose -33767 = 25*c + 30908. Let q = -1596 - c. Is q a composite number?", "a": "False" }, { "q": "Suppose 0 = -0*l - 2*l + 106. Let m(c) = -5*c**2 + 13*c + 59. Let h be m(6). Let q = l + h. Is q a composite number?", "a": "True" }, { "q": "Suppose 3*l - 248820 = -3*d, 5*d + 8*l - 414704 = 7*l. Is d a prime number?", "a": "False" }, { "q": "Let a be -1 - ((1 + 8)/(-1) + 3). Suppose a*b - 536 = 9. Is b prime?", "a": "True" }, { "q": "Let g be ((-9)/(-3))/3*(-3)/(-1). Suppose -4*f + 38 + 37 = -g*b, 5*f - 85 = -5*b. Suppose 0 = -c + f + 187. Is c composite?", "a": "True" }, { "q": "Is (-9)/27 - 2153660/(-15) - 8 a composite number?", "a": "False" }, { "q": "Let j be (12 - 1) + 20/(-4). Suppose -7*a + 3433 = -j*a. Is a a composite number?", "a": "False" }, { "q": "Let t be (5*1/20)/((-3)/(-48)). Let i(y) = 21*y**3 - 5*y**2 - 5. Is i(t) prime?", "a": "True" }, { "q": "Is (-1)/4*591340/15*12/(-4) prime?", "a": "True" }, { "q": "Suppose 88818 = y - 4*p - 10809, 3*y - 4*p - 298897 = 0. Is y a prime number?", "a": "False" }, { "q": "Suppose -115*q = -1409156 - 2660833 - 8055266. Is q prime?", "a": "True" }, { "q": "Suppose -5*f - 17940 = 7*f. Let w = f - -5526. Is w a prime number?", "a": "False" }, { "q": "Let k(i) = -26088*i**3 - 2*i**2 + 9*i + 10. Is k(-1) a prime number?", "a": "False" }, { "q": "Suppose 0 = -3*b + 8*b - 2*x, -2*b + 19 = 3*x. Suppose 2*p = p + b. Suppose -2*g = -a + 917, -4555 = -3*a - p*a - 5*g. Is a composite?", "a": "True" }, { "q": "Let t = -2150 + 2605. Let u(l) = -9*l**3 + 2*l + 1. Let z be u(-1). Suppose -z + t = 3*r. Is r a composite number?", "a": "False" }, { "q": "Let p = 32833 - 19851. Is p a prime number?", "a": "False" }, { "q": "Is ((-21)/12)/(11/(-106348)) a prime number?", "a": "False" }, { "q": "Suppose 32802 - 342803 = -26*y + 40973. Is y a composite number?", "a": "False" }, { "q": "Let z = -925 + 5484. Is z composite?", "a": "True" }, { "q": "Suppose -269493 = -2*z - j, -j + 404240 = 577*z - 574*z. Is z a prime number?", "a": "False" }, { "q": "Let r = -8235 + 36841. Suppose i + 3*a = 9538, -3*i + 3*a + r = 4*a. Is i composite?", "a": "True" }, { "q": "Let d be (-4)/22 + 244006/22. Suppose 8*v = d + 421. Is v a composite number?", "a": "False" }, { "q": "Let t be (-32)/(-6) - (-4)/6. Let i be 1*15 + (26 - 37). Suppose -23950 = -i*z - t*z. Is z composite?", "a": "True" }, { "q": "Let f = 40 + -46. Is (f - (-51)/9)*-2253 prime?", "a": "True" }, { "q": "Let l be 4*(-5 + 2 + 5). Is l + -4 + (-4098)/(-2) a composite number?", "a": "False" }, { "q": "Is -79 - -95925 - (-3)/(-1) a composite number?", "a": "True" }, { "q": "Let l(n) = -14*n**3 - 4*n**2 - 5*n + 1. Let t(a) = a**3 + 4*a**2 + 8*a + 7. Let o be t(-3). Is l(o) a composite number?", "a": "True" }, { "q": "Suppose 0 = -103*o + 98*o - 395345 + 1199410. Is o prime?", "a": "True" }, { "q": "Let v(n) = 3 - 8 + 5 - 373*n. Let x be v(-3). Suppose 12*y + x = 15*y. Is y a prime number?", "a": "True" }, { "q": "Let t(u) = 40*u + 4. Let x(g) = -119*g - 10. Let y(k) = -8*t(k) - 3*x(k). Is y(9) a composite number?", "a": "False" }, { "q": "Suppose -12*k + 140991 + 174805 = -235592. Is k composite?", "a": "False" }, { "q": "Suppose -3*u = -3*v + 72669, 3290 + 20927 = v + 2*u. Is v a composite number?", "a": "True" }, { "q": "Suppose 19514 = 5*a + 3*m, -12*a + 14*a - 7814 = -4*m. Suppose 21*g - 26056 + a = 0. Is g a prime number?", "a": "False" }, { "q": "Let r = 12479 - 7996. Is r prime?", "a": "True" }, { "q": "Let f be 9/6 + (-15)/(-10). Let z(w) = 61*w**3 + 5*w + 7. Is z(f) a prime number?", "a": "True" }, { "q": "Suppose -4*l - 4*h = -1088, 3*h = 5*l + 5*h - 1372. Suppose 0 = -3*c - 0*c - l. Is 22/(176/c + 2) a composite number?", "a": "True" }, { "q": "Suppose 4*i - 448 = -4*q, 3*q - 3*i = 8*q - 558. Suppose -q*g = -107*g - 2764. Is g prime?", "a": "True" }, { "q": "Is (-1304992)/(-20) - 51/85 a prime number?", "a": "False" }, { "q": "Suppose 3 + 29 = 4*k. Suppose 1055 = k*v - 7*v. Is v prime?", "a": "False" }, { "q": "Suppose c = t + 1017, -t - 3 = -1. Suppose 2*v - c = -3*v. Is v a prime number?", "a": "False" }, { "q": "Suppose 5*m = -10, -7*o + 4*o + 2021 = -4*m. Suppose -2*d = -3*a - 3705, -3*d + 2*a + 4884 = -o. Is d composite?", "a": "True" }, { "q": "Let x = 9 - 5. Let o(i) = 2*i - 9. Let p be o(x). Is 3549/14 + p/2 a prime number?", "a": "False" }, { "q": "Let n = 3847 + -1306. Let q = -940 + n. Is q a composite number?", "a": "False" }, { "q": "Let t = 13537 + -9378. Let f = t + -2108. Is f prime?", "a": "False" }, { "q": "Let j(s) = 6209*s + 109. Is j(20) composite?", "a": "True" }, { "q": "Let w(u) = -2*u**3 - u**2 - 3*u - 3. Let y be w(3). Let v be 228 - (77/21 - (-2)/6). Let q = v + y. Is q composite?", "a": "False" }, { "q": "Let u be ((-294)/9)/((-4)/6). Let c = -230 + u. Is (c/1 - -3)/(-2) prime?", "a": "True" }, { "q": "Suppose 0 = -28*l + 7479 + 26093. Let b = -101 + 1324. Suppose l = 2*r - b. Is r prime?", "a": "False" }, { "q": "Is (261/261)/(2/24646) prime?", "a": "True" }, { "q": "Suppose 0 = -y + v + 249, -2*y - 2*y - 2*v + 978 = 0. Let h = y + -624. Is h*(-2 - -1) + 1 + 0 a composite number?", "a": "False" }, { "q": "Suppose 1 = -3*q + 10. Suppose -q*d - 6*f + 5*f = -5923, -5*d - 2*f + 9873 = 0. Is d prime?", "a": "True" }, { "q": "Let f = 674 + 293. Is f a composite number?", "a": "False" }, { "q": "Suppose 0*j - 5*f = 2*j - 30835, j - 2*f = 15440. Suppose -j = 22*r - 24*r. Is r composite?", "a": "True" }, { "q": "Let s = 1800 - -27. Suppose 22*f - s = 13*f. Is f composite?", "a": "True" }, { "q": "Is (363/55)/((-9)/(-38685)) a prime number?", "a": "False" }, { "q": "Suppose 5*o = -p + 10, 18 = -5*p + 2*p + o. Let i(k) = -k**3 - 4*k**2 + 2*k + 6. Let m be i(p). Is m/(-28) - ((-5406)/8 + 2) composite?", "a": "False" }, { "q": "Let h(a) = -4*a + 2. Let i(s) = 7*s - 3. Let x(m) = -5*h(m) - 2*i(m). Let j be x(1). Suppose -1579 = -3*z - 4*c, -2*z - 2*c = j*z - 2112. Is z a prime number?", "a": "False" }, { "q": "Let x(t) = 3157*t - 2373. Is x(56) a prime number?", "a": "False" }, { "q": "Let n be -2*3/18 + 180/(-27). Let m(c) = c**3 + 9*c**2 - 3*c + 8. Is m(n) prime?", "a": "True" }, { "q": "Suppose -68393 = -42*t + 29*t. Is t a prime number?", "a": "True" }, { "q": "Let v(u) = -u**3 - 15*u**2 - 4. Let i be v(-15). Suppose 2*m + 3*m = 0. Is (i - 90)/(-2 - m) a composite number?", "a": "False" }, { "q": "Let d(a) = -9*a**3 + a - 1. Let j be d(-1). Suppose 0*m + j*m = 29267. Is m a prime number?", "a": "False" }, { "q": "Let c = -7 - -12. Let q(v) = -2 - 5*v**2 + v**3 + 2*v - 3*v + 6*v - 2*v. Is q(c) a prime number?", "a": "True" }, { "q": "Let r be 2/(-10) - (108342/(-10))/(-9). Let y = 2003 + r. Is y a prime number?", "a": "False" }, { "q": "Let l = 7346 - 3663. Is l prime?", "a": "False" }, { "q": "Let y(z) = 5*z**2 + 2*z + 1. Let j be y(-1). Suppose -2*b = -4*p - 1638, j*p + 561 = -4*b + 3837. Suppose -3*t = -b - 1212. Is t a composite number?", "a": "False" }, { "q": "Let u(a) be the first derivative of a**3/3 + 13*a**2/2 + 15*a + 12. Let r be u(-12). Let b(k) = 130*k**2 + 2*k - 7. Is b(r) a composite number?", "a": "True" }, { "q": "Let g(a) = 5*a**2 + 10*a + 7. Let h(l) = -4*l**2 - 10*l - 8. Let y(i) = -5*g(i) - 6*h(i). Let c be y(11). Suppose -34 - 298 = -c*j. Is j a prime number?", "a": "False" }, { "q": "Let o(v) = -251*v + 8. Let b be o(-3). Suppose -109 = 2*w + b. Let u = -244 - w. Is u a composite number?", "a": "False" }, { "q": "Let c(f) = f**3 + f**2 + f - 952. Let u be c(0). Let g = u - -1478. Is g a prime number?", "a": "False" }, { "q": "Let j(k) be the second derivative of -19*k**4/12 - k**3/3 + 9*k**2/2 + 3*k. Let f be j(5). Let d = 690 + f. Is d a composite number?", "a": "True" }, { "q": "Let q be (1604/6)/((-5)/(-45)). Suppose 50*f - 47*f = q. Is f composite?", "a": "True" }, { "q": "Let q = -1395 + 2381. Suppose 4*g - 2*w = q - 350, 0 = -w + 4. Is g composite?", "a": "True" }, { "q": "Suppose s + c + 682 = 0, -4*c + 1585 = -4*s - 1159. Let x(n) = 716*n - 1. Let j be x(-2). Let d = s - j. Is d a composite number?", "a": "True" }, { "q": "Suppose -4*o - 5*k + 1590 = -803, 3*k = 5*o - 3019. Suppose 3*w + i - o = 0, 2*w + 2*i = i + 401. Is w a composite number?", "a": "True" }, { "q": "Let u(r) = r**2 - r + 1. Let b(y) = -3*y**2 + 7*y - 14. Let v(t) = -b(t) - 5*u(t). Let d be v(-4). Is 4 - (-5)/(d/(-99)) composite?", "a": "False" }, { "q": "Let u = -3863 - -4920. Is u a prime number?", "a": "False" }, { "q": "Let h be ((-109)/(-4))/((5 - 1)/1072). Suppose -4*u = 20, -2*u = -4*j + 34965 - h. Is j a composite number?", "a": "True" }, { "q": "Let r be -2 + (69/(-2))/(6/8). Let a = r - -48. Suppose a*i - 2*i + 298 = 0. Is i a composite number?", "a": "False" }, { "q": "Suppose 283 = -5*n - l + 39, -5*n + 5*l = 250. Let k = -648 + 1554. Let i = k - n. Is i a prime number?", "a": "False" }, { "q": "Let t = -1611 + 77042. Is t a prime number?", "a": "True" }, { "q": "Let z be ((-4808)/12)/((10/(-33))/(-5)). Let d = z + 3233. Is -2*d/4*11/33 a prime number?", "a": "True" }, { "q": "Suppose c - 3*i - 2*i = -5, 52 = 4*c + 4*i. Is c + 4170 + 6/2 prime?", "a": "False" }, { "q": "Let k(l) = -28 + l**3 + l - 26 + 55. Let j be k(2). Suppose j*u - 3689 = 4*u. Is u a composite number?", "a": "True" }, { "q": "Let b(t) = t**3 + 11*t**2 + 3*t + 38. Let v be b(-11). Suppose -4*i + v*d + 12322 = 0, d = -0*i - i + 3085. Is i a composite number?", "a": "False" }, { "q": "Let j(t) = 13 + 51*t - 58*t + 0*t**2 + 7*t**2. Let z(l) = -5*l - 6. Let s be z(-3). Is j(s) a composite number?", "a": "True" }, { "q": "Let p = -220 - -223. Suppose 6*x - p*x - 3 = 0, -1902 = -3*b - 3*x. Is b a prime number?", "a": "False" }, { "q": "Let v = -50004 + 96847. Is v a prime number?", "a": "False" }, { "q": "Is (950/(-152))/(10/(-35704)) composite?", "a": "True" }, { "q": "Suppose 620 = 3*u - 8080. Suppose 4*l - 2*s - u = -l, -3*s = -4*l + 2320. Suppose 3*t + 3*k - 891 = -k, 2*t = 2*k + l. Is t prime?", "a": "True" }, { "q": "Suppose -7*f = -33*f + 992550. Suppose 0 = 7*h - f + 13724. Is h prime?", "a": "False" }, { "q": "Let v(x) be the third derivative of x**6/15 - x**5/12 + x**4/3 - 2*x**3 - 24*x**2. Is v(7) prime?", "a": "True" }, { "q": "Let x(y) be the second derivative of 29/2*y**2 + 0 - 4*y - 51/2*y**3. Is x(-10) prime?", "a": "True" }, { "q": "Let a(b) = 240*b - 973. Is a(38) composite?", "a": "False" }, { "q": "Let q(i) = i**3 + i**2 + 7. Let h be q(0). Suppose h*l - 96 = l. Suppose -8128 = -3*d - d + 3*c, 4*c = -l. Is d prime?", "a": "True" }, { "q": "Let u be (-736092)/(-33) - 2/(-11). Suppose 0 = 2*b + 3*b + 4*f - 37115, 0 = 3*b - 5*f - u. Is b a composite number?", "a": "True" }, { "q": "Let w = -75370 - -114767. Is w prime?", "a": "True" }, { "q": "Let y(s) = -s**2 + 3*s + 18. Let a be y(-4). Is (-10868)/a + -2*(-5)/50 a composite number?", "a": "False" }, { "q": "Is ((-70022)/10)/((-21)/(19 - -86)) a prime number?", "a": "False" }, { "q": "Let t = 170 + 570. Let p = 189 + t. Is p a prime number?", "a": "True" }, { "q": "Let s = -494 + 1925. Suppose -228 = -3*z + s. Is z a composite number?", "a": "True" }, { "q": "Suppose 2*t + d - 13 = 0, -8 = -4*d - 4. Is (-4)/t*6 + -5 + 1898 a prime number?", "a": "True" }, { "q": "Suppose -8 = -2*k + 2. Suppose -5*y = b - 31 + 6, 0 = k*b. Suppose -1815 = -y*q + 640. Is q composite?", "a": "False" }, { "q": "Suppose 17 = -8*z + 9. Is 933 + -26 - (z - -1) a prime number?", "a": "True" }, { "q": "Let k(j) = -2718*j - 52. Let f be k(-5). Suppose -6*h + 10*h - 3*i = f, -5*h = 3*i - 16909. Is h composite?", "a": "True" }, { "q": "Let a = 7325 - 1808. Let d = -3722 + a. Is d prime?", "a": "False" }, { "q": "Suppose -162306 = -5*c + 4*g, -4*c + 60578 = 3*g - 69273. Suppose 9*h = 11071 + c. Is h a composite number?", "a": "True" }, { "q": "Suppose -3*r - 2*q = 15, 0 = r - 5*r - q - 20. Is 1/r + (-11)/((-110)/10492) a composite number?", "a": "False" }, { "q": "Let z(l) = -7*l**3 - 10*l**2 + 46*l + 54. Is z(-25) prime?", "a": "False" }, { "q": "Let h = -11481 - -6581. Let o = -917 - h. Is o prime?", "a": "False" }, { "q": "Let g be -11 - (1 + -1 + 1). Let l(h) = -138*h - 17. Let j be l(g). Is 2 + (j - 0/(-3)) composite?", "a": "True" }, { "q": "Is (1 - 6) + -3 + 105495 composite?", "a": "True" }, { "q": "Let y be 16/6 + (4/(-6) - -1). Let g be -1*(y + 9*4). Is (-12)/78 + (-14787)/g a composite number?", "a": "False" }, { "q": "Suppose 1326*j - 1315*j - 680053 = 0. Is j a prime number?", "a": "False" }, { "q": "Let m(s) = 16*s - 24. Let f be m(0). Let k = -27 - -15. Is 3*(-2)/f + (-465)/k prime?", "a": "False" }, { "q": "Is ((-81195)/(-20))/((-32)/(-128)) prime?", "a": "False" }, { "q": "Let k(q) = -q + 10. Let g be k(4). Suppose 321 = 7*l - g*l + 3*u, 0 = 3*u + 6. Suppose 3*c = -0*c + l. Is c prime?", "a": "True" }, { "q": "Let q be (-14)/2*(-38)/133. Suppose m - 934 = -q*v - 0*m, -5*v = 5*m - 2325. Is v a prime number?", "a": "False" }, { "q": "Suppose 0 = -j - 9*j - 210. Let m(t) = 2*t**2 + 24*t + 37. Is m(j) composite?", "a": "True" }, { "q": "Suppose r + 4 - 8 = 0, -4 = -4*q - 4*r. Is (-1852)/(-6) + (-1)/q a composite number?", "a": "True" }, { "q": "Suppose -x - 5*x = 78. Let j(p) = p**2 + 7*p - 15. Let h be j(x). Suppose 4*w + 5*g = 148, -3*w - 5*g - h = -174. Is w composite?", "a": "False" }, { "q": "Suppose -16*o = -11*o - 15. Suppose -o*c - 5*z = 4, 5*z - 6 + 20 = 2*c. Suppose -c*u + 7*u = 2*k + 2253, 3*u + 4*k - 1331 = 0. Is u prime?", "a": "True" }, { "q": "Let y(h) be the second derivative of -29*h**3/6 + 35*h**2/2 + 2*h. Let q = -294 + 278. Is y(q) a composite number?", "a": "False" }, { "q": "Let t be ((-5)/((-25)/60045))/((-6)/(-4)). Suppose 385 = -o + t. Is o a composite number?", "a": "False" }, { "q": "Suppose -1651 = 2*k + 3*n, 2431 - 770 = -2*k - n. Let j = 1826 + k. Is j prime?", "a": "False" }, { "q": "Let w(h) = h**3 + 6*h**2 + 12*h + 6. Let c be w(-4). Is 8/(-12)*42105/c prime?", "a": "False" }, { "q": "Suppose 3*j - 38666 = 5*f, 5*j = 3*j - f + 25799. Suppose j - 4408 = 13*r. Is r a prime number?", "a": "True" }, { "q": "Suppose -5*d = -7*d - 352. Let x = -48 + d. Let q = 493 + x. Is q a composite number?", "a": "False" }, { "q": "Let o(l) = -9*l**2 - 13*l + 1. Let g(h) = -11*h**2 - 14*h. Let n(y) = 4*g(y) - 5*o(y). Is n(17) a prime number?", "a": "False" }, { "q": "Suppose -5*d + 500915 = -306480. Is d composite?", "a": "True" }, { "q": "Suppose -11*a + 13 - 2 = 0. Is 3 + a - 1102*(-135)/18 a composite number?", "a": "False" }, { "q": "Let s(m) = 122*m - 28. Let p be s(-9). Let f = p - -1941. Is f prime?", "a": "False" }, { "q": "Suppose -2393*i + 2394*i - 19819 = 0. Is i prime?", "a": "True" }, { "q": "Let k(b) = -635*b - 4. Suppose 2*j - 5*d = 3, 4*d = -8*j + 7*j - 5. Is k(j) a prime number?", "a": "True" }, { "q": "Suppose 296874 + 223348 = 2*j + 5*a, 0 = 4*j - 4*a - 1040444. Is j a prime number?", "a": "True" }, { "q": "Let s = 80214 - -50713. Is s prime?", "a": "True" }, { "q": "Suppose 10*m - 5882 = 468. Suppose -4*s + m = s. Is s composite?", "a": "False" }, { "q": "Let g be ((-1)/3)/(4/(-72)). Suppose 0 = -3*y + 6 - g. Is -4 + 145 + 2 - y a prime number?", "a": "False" }, { "q": "Suppose -125559 = -5*u - 2*i, 4*i - 1 = 7. Is u a composite number?", "a": "False" }, { "q": "Is (30/100 + (-755161)/(-5))*2/5 prime?", "a": "True" }, { "q": "Suppose 14*q = 26*q - 21912. Suppose -6*b + 10964 - q = 0. Is b composite?", "a": "False" }, { "q": "Let h(x) = 29*x**2 + 15*x - 5. Let k be h(12). Suppose 0 = 5*l + k + 1669. Let s = l + 3663. Is s composite?", "a": "False" }, { "q": "Let k be 285/114*(1 + 0 + 621). Let c = k + -696. Is c composite?", "a": "False" }, { "q": "Suppose 31031 = 14*c - 13*c - 6*q, -4*c + 3*q + 124061 = 0. Is c composite?", "a": "False" }, { "q": "Let a(q) = 2*q**2 + 9*q - 2. Let d be a(-6). Suppose 0 = -j - 3*j + d. Suppose 4*l - 4580 = 2*c, -3*c - 4580 = -j*l - 2*c. Is l composite?", "a": "True" }, { "q": "Let g(f) = 1373*f**3 + 8*f**2 - 14*f + 16. Is g(3) composite?", "a": "False" }, { "q": "Let b be 1/((-14)/(-5) + -3). Let h(g) = -601*g + 60. Is h(b) composite?", "a": "True" }, { "q": "Let l = -2659 - -31448. Is l a prime number?", "a": "True" }, { "q": "Let f = -224 - -227. Suppose 0 = z - 2, y - f*z - 3945 = -566. Is y composite?", "a": "True" }, { "q": "Let l(r) be the first derivative of 5*r**4/12 - 3*r**3/2 + r**2/2 - 13. Let x(t) be the second derivative of l(t). Is x(4) composite?", "a": "False" }, { "q": "Let p = -1809 - -5194. Let x = p - 653. Suppose 45*j = 41*j + x. Is j a prime number?", "a": "True" }, { "q": "Let c be 18 + (-4 - 1 - -2). Let q = -13 + c. Suppose 0 = 2*i + 10, 3*s + q*i - 250 = 1747. Is s a prime number?", "a": "False" }, { "q": "Suppose q + 160 = 6*q + 4*m, -4*m + 52 = 2*q. Let l be (q/8 - 3)*2. Is 1735/l - 32/24 prime?", "a": "True" }, { "q": "Let s = -71925 - -118934. Is s a composite number?", "a": "True" }, { "q": "Let k = -94408 + 332385. Is k a composite number?", "a": "False" }, { "q": "Suppose -2*y + 5*t + 10 = 0, -3*y = -2*t - 12 - 3. Let f = y + 1. Is (2898/(-27))/(0 + (-4)/f) a prime number?", "a": "False" }, { "q": "Suppose 0 = -3*m + 2*b + 399, 0 = 2*m + 2*m - b - 537. Suppose k - m = 2*h - 2215, -h - 5*k = -1051. Is h prime?", "a": "False" }, { "q": "Let v(m) = m**2 - 3*m - 8. Let y be v(5). Suppose 3*a - 2*g + 1 = -5, y*a + g = -4. Is (-10712)/(-16) + 1/a a composite number?", "a": "True" }, { "q": "Suppose 15*q - 18 = 27. Suppose q*u - 3601 = -2*u + 3*s, -5*s + 709 = u. Is u composite?", "a": "False" }, { "q": "Let s(u) = -u**2 - 3*u + 1. Let i be s(-3). Let c be (-3)/((5/(-4775))/i). Suppose 4*t + p - 3801 = 0, 5*t - c = 2*t + 4*p. Is t composite?", "a": "True" }, { "q": "Let c(r) = r - 1. Let f be c(-1). Let a be 12 - (f + 2)*(-1)/(-2). Let w(s) = 4*s**2 - 18*s + 21. Is w(a) a composite number?", "a": "True" }, { "q": "Let h(q) = 183*q + 70. Let x be h(15). Let j = -1430 + x. Is j prime?", "a": "False" }, { "q": "Let b be (2457 - -2) + 3*-2. Suppose -b = -9*n - 446. Is n prime?", "a": "True" }, { "q": "Let f = -159168 + 245486. Is f composite?", "a": "True" }, { "q": "Let b be 0/((-1 - -3) + -3). Suppose l + 2*l + 36 = b. Is (-5847)/(-12) - (-3)/l composite?", "a": "False" }, { "q": "Let f(p) = p**2 + 6*p - 10. Let q be f(-6). Let j be (-6)/q*5*(-2)/3. Is -1*(-233)/j*4/(-2) a composite number?", "a": "False" }, { "q": "Is (1 + -32)/((-111)/94683) a prime number?", "a": "False" }, { "q": "Suppose -z + 3*i = -0*z - 1, 0 = -4*z + i + 15. Suppose 2*g - 5*g + 8020 = z*s, g = 0. Is s prime?", "a": "False" }, { "q": "Is (1 - -1) + 13/(-8) + 14205915/120 prime?", "a": "False" }, { "q": "Suppose 315220 = 4*i - 3*a, -5*i = 4*a - 3*a - 394025. Is i a composite number?", "a": "True" }, { "q": "Suppose 3*k = 6*k + 11*k - 49154. Is k composite?", "a": "False" }, { "q": "Let b be -7 + (9 - 5) + 2. Is 502/(-4)*(-1 + b) prime?", "a": "True" }, { "q": "Let z = 219584 + -144790. Is z composite?", "a": "True" }, { "q": "Suppose j = 2*j + 35. Let u(s) = 14*s**3 + 2*s**2 + 3*s. Let a be u(2). Let w = a + j. Is w prime?", "a": "False" }, { "q": "Let u(h) = 19*h**2 + 121*h - 397. Is u(56) composite?", "a": "False" }, { "q": "Suppose 8*h = -0*h + h. Suppose -10*f + 15995 + 15515 = h. Is f composite?", "a": "True" }, { "q": "Let s(w) = -4*w**3 - 13 - 3 - 9 - 20*w**2 + 6*w**3. Is s(14) composite?", "a": "False" }, { "q": "Let j be -1 + 3 + 12/(-18)*3. Let v = j + 69. Is v a prime number?", "a": "False" }, { "q": "Suppose -2*o = -d + 7, 4*d + 5*o - 2*o - 17 = 0. Let j be 30/(-40) + (-41276)/(-16). Suppose -y - d*c - 1307 = -3*y, j = 4*y - 3*c. Is y a prime number?", "a": "True" }, { "q": "Let t(r) = -9*r + 12 - r**2 + 5*r - 3*r**3 - 3*r**2 + r**2. Let f be t(-9). Suppose f + 623 = 5*p. Is p a prime number?", "a": "True" }, { "q": "Let s(z) = 7*z - 27. Let u be s(4). Is (23740/(-10))/(u + -3) composite?", "a": "False" }, { "q": "Suppose -5*g + 95 = 3*m, -2*m - 4*g + 64 = -0*g. Suppose 5*z = -5*o - m, -2*z + 4*o = -4*z - 12. Is 129/(-6)*z + 2 composite?", "a": "False" }, { "q": "Suppose -309782 = -5*g - 99597. Is g composite?", "a": "True" }, { "q": "Let g(z) = -15*z + 17. Let m(t) = 5*t - 3. Let b be m(-2). Let o be g(b). Let l = o - -107. Is l prime?", "a": "False" }, { "q": "Let k = -141424 + 316713. Is k a prime number?", "a": "False" }, { "q": "Let x = 31176 + 15713. Is x a composite number?", "a": "False" }, { "q": "Is (16/(-6) + 2)/(10/(-653595)) a prime number?", "a": "True" }, { "q": "Let h(q) = 4671*q - 1373. Is h(6) a composite number?", "a": "True" }, { "q": "Is 15/195 + (-863276)/(-26) composite?", "a": "False" }, { "q": "Let h(v) = -614*v**3 + 4*v**2 + 9*v + 50. Is h(-3) composite?", "a": "True" }, { "q": "Let m(h) = -3007*h**3 - 4*h**2 + 7*h + 25. Is m(-3) prime?", "a": "True" }, { "q": "Let b(m) = 2*m**2 - 19*m - 463. Is b(-16) a composite number?", "a": "False" }, { "q": "Suppose 0 = 5*v - 32 + 7. Suppose -6523 = -v*f - 1533. Suppose 6*r + f = 8*r. Is r a prime number?", "a": "True" }, { "q": "Let g(l) = -l**2 + 26*l + 19. Suppose 4*s = 2*h + 152, 4*h + h = 0. Suppose -5*p + k = 6 - 84, -3*k + s = 2*p. Is g(p) a prime number?", "a": "True" }, { "q": "Let c(k) = 181*k**2 - k + 5. Let j be c(2). Suppose 3*q - 408 = 4*q. Let a = q + j. Is a composite?", "a": "True" }, { "q": "Let c be (-117)/6*436/6. Let k = 4254 + c. Is k a prime number?", "a": "True" }, { "q": "Suppose -5*d + 54165 = -5*y, 0 = 504*d - 505*d - y + 10829. Is d prime?", "a": "True" }, { "q": "Let v = 15039 - -33160. Is v composite?", "a": "True" }, { "q": "Suppose 679*f - 2215267 = 660*f. Is f composite?", "a": "False" }, { "q": "Suppose -u + 7*u - 2190 = 0. Let w(k) = -64*k + 13 - u*k - 11. Is w(-1) a composite number?", "a": "False" }, { "q": "Let u = 45 - 48. Let n(z) = -43*z**3 - 6*z**2 + 6*z + 8. Is n(u) prime?", "a": "True" }, { "q": "Suppose -17*d - 805 = -40*d. Is (-10)/d - (-17415)/21 a composite number?", "a": "False" }, { "q": "Suppose -24*z + 1150677 = -483411. Is z prime?", "a": "True" }, { "q": "Suppose 59*j - 6704259 = -70*j. Is j a composite number?", "a": "False" }, { "q": "Let j(w) = -554*w + 373. Is j(-21) prime?", "a": "True" }, { "q": "Let b = 61 - 50. Is 2*(-40101)/(-18)*(b + -8) prime?", "a": "True" }, { "q": "Suppose 3*h = -5*m + 34, 0 = 5*h - h + 4*m - 32. Suppose 3*l = 4*d + 15, 0 = d - h*d - l + 5. Suppose d = -11*n + 9*n + 1038. Is n a composite number?", "a": "True" }, { "q": "Suppose 0 = 31*b + 27*b - 448282. Is b prime?", "a": "False" }, { "q": "Let f(q) = 14123*q + 481. Is f(2) prime?", "a": "False" }, { "q": "Suppose 160*x = 3079288 + 2080872. Is x a prime number?", "a": "True" }, { "q": "Suppose 2*y - 10 = -5*l - 1, 2*y + 18 = 4*l. Let r be (-5)/(105/(-18))*7 + 0. Is 637 - (r - (-1 + l) - 2) a prime number?", "a": "False" }, { "q": "Suppose 8 - 28 = -q. Suppose 0 = -3*i + 3*h + 15, -q = -i - 0*h + 4*h. Suppose 3*t - 2*m - 2493 = 0, i = -3*t - 5*m + 470 + 2002. Is t a prime number?", "a": "True" }, { "q": "Suppose -3 + 0 = 3*m, -5*s - 4*m - 209 = 0. Let r = s + 35. Let p(o) = -o**3 + 16*o**2 + 7*o + 1. Is p(r) a prime number?", "a": "True" }, { "q": "Let t(k) = -1450*k - 24. Let x(s) = -725*s - 11. Let h(p) = -2*t(p) + 5*x(p). Is h(-4) composite?", "a": "True" }, { "q": "Let t(n) = 11*n**2 + 149*n + 877. Is t(-65) a prime number?", "a": "False" }, { "q": "Let g be (-3)/((-45)/10 + 3). Let q be 5/(15/1596)*g. Suppose -d = 4, 3*d - 6*d = -4*a + q. Is a a composite number?", "a": "False" }, { "q": "Suppose -8*i = 15 - 39. Is 3*(0 - ((-1282)/i - 3)) a composite number?", "a": "False" }, { "q": "Let p = -75 + 75. Suppose p = -5*x, -2*x + 18185 = l + 4*l. Is l a composite number?", "a": "False" }, { "q": "Let j(v) = -5 + 7*v**2 + 4 + 6*v**3 + 3 - 6. Let n be j(5). Is -2 + (2 - 2) + n prime?", "a": "True" }, { "q": "Suppose -4 = -5*y + 4*i + 19, y - i = 5. Suppose 0 = -o - w + 1698, -8*o + 8530 = -3*o - y*w. Is o composite?", "a": "True" }, { "q": "Let g = 109819 + -63156. Is g a prime number?", "a": "True" }, { "q": "Let g be 10/(-35) + 6/21. Suppose -5*y + 2*y = -2*u - 1693, g = -2*y + 4*u + 1134. Is y a prime number?", "a": "True" }, { "q": "Let k(l) = 23684*l**2 + 4*l - 25. Is k(2) composite?", "a": "True" }, { "q": "Suppose -72 = -6*s - 12*s. Is -4 + (34/s)/((-7)/(-3122)) a prime number?", "a": "False" }, { "q": "Let b be ((-70)/15)/((3 + 0)/(-6381)). Suppose -3*s + b = 11*s. Is s a composite number?", "a": "False" }, { "q": "Let y(p) = 3*p**2 - 9*p - 7. Let r = 72 + -79. Is y(r) a prime number?", "a": "False" }, { "q": "Suppose -14*j = -172458 - 1262276. Is j a prime number?", "a": "True" }, { "q": "Let p be 2/4 + 9/2. Suppose 0 = -2*w + 9 + 1. Suppose -w*o - 2075 = -p*g, 0*g - 415 = -g - 4*o. Is g a prime number?", "a": "False" }, { "q": "Let h(g) = -50*g**2 - 2*g + 1. Let z be h(1). Let x = z + 45. Is (6 + -3)*(-148)/x a prime number?", "a": "False" }, { "q": "Is (882308/(-112))/(2/3*(-3)/8) prime?", "a": "True" }, { "q": "Let x be (-5)/(-1 + 0/2). Let i(r) = 3*r**2 + 26*r - 203. Let b be i(17). Suppose 2*t - 571 = x*a, -t - 3*t = 2*a - b. Is t prime?", "a": "False" }, { "q": "Suppose 4*o - 173538 = 5*j, 0 = -2*o + j + 40678 + 46094. Is o a prime number?", "a": "False" }, { "q": "Let u(s) = -11*s**3 + s**2 - 6*s + 129. Is u(-14) composite?", "a": "False" }, { "q": "Suppose 5*t = -5*f + 18663 + 95547, 5*t - 114170 = 3*f. Is t composite?", "a": "True" }, { "q": "Suppose -774 = 125*v - 126*v. Suppose -4*o = -4 - 4. Suppose o*c + c = 3*b - v, -5*b + 1286 = -4*c. Is b composite?", "a": "True" }, { "q": "Suppose 16*r - 793915 = 4*r + 630593. Is r composite?", "a": "False" }, { "q": "Suppose -2*x = i - 288961, -3*i + 8082 = -2*x + 297031. Is x a prime number?", "a": "True" }, { "q": "Let d(a) = -3*a - 7. Let p be -17*(-2)/6*-3. Let u be d(p). Let l = u + -23. Is l a prime number?", "a": "False" }, { "q": "Let z(w) = 140*w**2 + 113*w + 84. Is z(11) a composite number?", "a": "True" }, { "q": "Suppose -6*g + 3*a = -2*g - 231515, 5*g - 289390 = 5*a. Is g prime?", "a": "True" }, { "q": "Let o = -227 + 221. Is o/(-2)*3/(-36)*-3508 composite?", "a": "False" }, { "q": "Suppose -2*h - 5*k + 1 = 0, 0*h + 3*k + 18 = 5*h. Let i = h - 0. Suppose i*z + j + 4*j = 1403, 4*j + 8 = 0. Is z a composite number?", "a": "True" }, { "q": "Let n = 49 + -45. Suppose -2*v + 4*v - 938 = -n*h, 3*h = -v + 471. Let w = v - 308. Is w prime?", "a": "True" }, { "q": "Let q = 119318 - 60975. Is q composite?", "a": "True" }, { "q": "Suppose j - 10 = -m, -5*m - j = 12 - 46. Is m/27 + (3 - (-68952)/27) a composite number?", "a": "False" }, { "q": "Suppose 3*v + 30 = 2*w, -v - 27 = 4*w + w. Let g(d) = d**3 + 12*d**2 + 2*d - 14. Let x be g(v). Let a = x - -229. Is a a composite number?", "a": "False" }, { "q": "Suppose 4*h - 4310 = -4*k + 3*k, 8653 = 2*k - 3*h. Is k a prime number?", "a": "False" }, { "q": "Suppose -449*d = -438*d - 2528823. Is d a composite number?", "a": "True" }, { "q": "Suppose 45*i + 4716 = 54*i. Suppose -491 = -4*g + 5*p, -4*g + 5*g = -p + 134. Let t = i + g. Is t composite?", "a": "False" }, { "q": "Let b(w) = -w**3 + 18*w**2 - 4*w + 74. Let i be b(18). Suppose -5*g + 4964 = -3*g + i*s, -4*g + 9907 = -3*s. Is g a composite number?", "a": "True" }, { "q": "Let v = -53519 + 131358. Is v a composite number?", "a": "False" }, { "q": "Let n(j) = j**2 - 4*j - 15. Let g be n(7). Let x = 0 + g. Is (-4)/x*3354/(-4) a composite number?", "a": "True" }, { "q": "Let o(x) = -2*x**3 + 8*x**2 + 4*x - 10. Let w be o(4). Let l(r) = 2*r**3 + 6*r**2 + 8*r + 5. Is l(w) prime?", "a": "True" }, { "q": "Suppose -4*c + 4*q = -235308, -4*c - 13*q + 235332 = -11*q. Is c a composite number?", "a": "False" }, { "q": "Suppose 19 = 3*q + 2*t, 5*t + 18 = -3*q + 43. Suppose q*b - 3135 = 350. Is b a prime number?", "a": "False" }, { "q": "Suppose 10*r = 16*r - 54. Suppose 878 = -r*o + 2669. Is o composite?", "a": "False" }, { "q": "Let a(m) = 2119*m**2 - 26*m + 50. Is a(-11) a composite number?", "a": "True" }, { "q": "Is 386439/2*((-256)/(-24) - 10) a prime number?", "a": "True" }, { "q": "Suppose 10*r - 6 = 9*r. Let f(x) = 120*x**2 + 9*x - 1. Is f(r) composite?", "a": "False" }, { "q": "Let a be 56/12*(-5 + 2). Let j be a/(-84) - (-2213)/6. Let l = -235 + j. Is l a composite number?", "a": "True" }, { "q": "Let y = 193 - 145. Suppose 0 = y*u - 45*u - 2985. Is u prime?", "a": "False" }, { "q": "Let z(c) = 1905*c**2 + 3*c - 11. Is z(2) a prime number?", "a": "False" }, { "q": "Is ((-54)/(-567) + 8005/(-42))*(-3188)/6 prime?", "a": "False" }, { "q": "Suppose 19*n - 30007 = -4*n + 26274. Is n prime?", "a": "True" }, { "q": "Suppose -d = 2*d - 3. Let t(j) be the first derivative of 43*j**2 + 3*j + 24. Is t(d) a prime number?", "a": "True" }, { "q": "Let m(g) = 11*g**2 + 18*g + 44. Let w(n) = -23*n**2 - 34*n - 87. Let r(f) = 7*m(f) + 3*w(f). Is r(-19) prime?", "a": "False" }, { "q": "Suppose 4*g - 32 = n, -2*g - 2 = -2*n + 6*n. Suppose -g*w = -4*w - 5127. Is w a prime number?", "a": "True" }, { "q": "Is ((30216/9)/(-4))/((-82)/11931) prime?", "a": "False" }, { "q": "Let c be (2 - 5)*(-90)/54. Suppose -6412 = -c*h - 3*r, -h + r + 1284 = -0*h. Is h prime?", "a": "True" }, { "q": "Suppose 4*x = x - 6. Let k be 4 + (x + 5)/3*-1. Is (-3)/(-7) - (k - (-2637)/(-21)) composite?", "a": "True" }, { "q": "Let p(a) = -214*a**3 - 4*a**2 - a - 5. Let y(i) = 2*i + 38. Let g be y(-20). Is p(g) a composite number?", "a": "False" }, { "q": "Suppose 2*q - h = -4*h + 161050, -5*h = -3*q + 241613. Is q composite?", "a": "True" }, { "q": "Suppose 5*f + 2*g - 5 = 6*f, 0 = -4*f - 2*g + 30. Let s(w) = 173*w**2 - 10*w + 52. Is s(f) prime?", "a": "True" }, { "q": "Let d = 13002 - 7595. Is d prime?", "a": "True" }, { "q": "Let s(g) = -g**2 - 5*g - 8. Let a be s(-2). Is (a - 315/(-4))*(-196)/(-7) a composite number?", "a": "True" }, { "q": "Let l = -63004 - -102863. Is l composite?", "a": "True" }, { "q": "Suppose 7*q - 64175 - 148212 = 0. Is q a prime number?", "a": "True" }, { "q": "Let w = 2162 + -1068. Suppose 0 = 7*s - w - 12. Suppose 26*c = 24*c + s. Is c composite?", "a": "False" }, { "q": "Let x(g) = 16*g**2 + 8*g - 2. Let o = 167 - 164. Is x(o) a composite number?", "a": "True" }, { "q": "Suppose 17 = -5*i + 12. Is -304*(4 + -7) - i*1 prime?", "a": "False" }, { "q": "Let q be (-188)/4 + (3 - 1). Let y = 199 + q. Is 1 + y - 2/((-2)/2) a prime number?", "a": "True" }, { "q": "Suppose 5*o - 29273 = -y, 10*y - 29277 = 9*y - 4*o. Is y prime?", "a": "False" }, { "q": "Let d(v) be the second derivative of 36*v**3 + 71*v**2/2 - 7*v + 4. Is d(5) a composite number?", "a": "False" }, { "q": "Suppose -13*o = -143 - 65. Suppose 2*r - 4203 = -5*c, -3*r - 4 = -o. Is c a prime number?", "a": "True" }, { "q": "Suppose -3*p + 4*a = -8022, p + 3*a - 6*a - 2674 = 0. Suppose 5*k - 5*v = 6685, 2*k - v = -6*v + p. Is k composite?", "a": "True" }, { "q": "Let s = 9455 + -1718. Is s a prime number?", "a": "False" }, { "q": "Let x(w) = -1812*w + 871. Is x(-7) composite?", "a": "True" }, { "q": "Suppose -22938 = -4*h + 9818. Suppose -5*a + 4*z = -0*z - h, 0 = 3*a - 2*z - 4913. Is a a prime number?", "a": "True" }, { "q": "Let h(p) = 9*p**2 - 34*p - 283. Is h(46) prime?", "a": "False" }, { "q": "Let r(o) be the third derivative of -7*o**2 + 0*o + 127/30*o**5 - 1/8*o**4 + 0 + 1/3*o**3. Is r(1) a prime number?", "a": "False" }, { "q": "Suppose -44 = -2*m + 5*z, 2*z = m + 4*z - 4. Suppose 7*h - 2954 = -0*h. Suppose -10*f + m*f = h. Is f composite?", "a": "False" }, { "q": "Let x(t) = 635*t + 3. Let u be x(8). Let f = -3324 + u. Is f a composite number?", "a": "False" }, { "q": "Suppose 0 = f + 1 - 3. Suppose -2*x + f*h = -3*h, 4*h = -5*x. Suppose 6*o - 5877 + 1407 = x. Is o a composite number?", "a": "True" }, { "q": "Let b(m) = -m**2 + 7*m - 2. Let o be b(6). Suppose -2 = -o*r + 26. Suppose -8*z + r*z + 131 = 0. Is z a composite number?", "a": "False" }, { "q": "Is (-15)/21 - -1 - 1445067/(-21) a prime number?", "a": "True" }, { "q": "Let j = -45 - -97. Let u(g) = -3 + 29*g - 4 + j*g. Is u(8) composite?", "a": "False" }, { "q": "Let q = 171 - 169. Suppose 3*r = -5*y + 6984, -r + q*y = 2*r - 7005. Is r composite?", "a": "False" }, { "q": "Is (4*(-10)/(-60))/(4/1051962) a prime number?", "a": "True" }, { "q": "Let x(o) be the first derivative of 16*o**3/3 - 7*o**2/2 - 7*o + 1. Suppose w - 13 = 4*f, 27 = 4*f + w + 38. Is x(f) a prime number?", "a": "False" }, { "q": "Let g = -174360 + 290153. Is g composite?", "a": "False" }, { "q": "Let c(b) = -11 + 4*b + 287*b**2 - b - 4*b - 6*b. Is c(8) a composite number?", "a": "False" }, { "q": "Let c(v) = 89*v - 13. Let w(p) = 44*p - 6. Let j(q) = -2*c(q) + 5*w(q). Let f be j(9). Suppose 240 = 2*n - f. Is n prime?", "a": "True" }, { "q": "Suppose -u - 3*q = -31616, 0 = -5*u + q + 225600 - 67440. Is u a prime number?", "a": "False" }, { "q": "Let m(h) be the first derivative of 385*h**3/6 + 6*h**2 - 15*h - 15. Let f(t) be the first derivative of m(t). Is f(7) a composite number?", "a": "False" }, { "q": "Suppose -11*h + 2*h = -4698. Suppose -119*d + h = -110*d. Is d a prime number?", "a": "False" }, { "q": "Let x(f) = -4*f - 6. Suppose 5*m - 15 = 3*s - 8*s, 0 = 4*m - 2*s + 18. Let u be x(m). Is 1 + -1 + 317 + 2 + u a prime number?", "a": "False" }, { "q": "Let k(z) = z**3 - 4*z**2 - z. Let h be k(4). Let b(r) = -r. Let t(i) = -31*i - 4. Let j(a) = h*b(a) - t(a). Is j(3) a prime number?", "a": "True" }, { "q": "Is -2 + 15 + 4 + 6786 a prime number?", "a": "True" }, { "q": "Suppose -4*b - 5*u = -460184, -4*u + 257068 = 3*b - 88069. Is b a prime number?", "a": "False" }, { "q": "Let j(i) = 65*i**2 + 2*i + 3. Let u be j(4). Let f(s) = s**3 - 34*s**2 + 53*s + 36. Let c be f(33). Let w = u - c. Is w prime?", "a": "False" }, { "q": "Suppose 28 + 32 = 4*v - t, -3*t - 82 = -5*v. Suppose v*u - 912 = 10*u. Let n = u + 1569. Is n a prime number?", "a": "False" }, { "q": "Let x be 1*3/(-3) + 3. Suppose -3*d + d = -x*q + 4660, 5*d - 7014 = -3*q. Is q prime?", "a": "True" }, { "q": "Let l(z) = -179*z**3 - z**2 - z. Let i be l(-1). Suppose h = 5*h - 12. Suppose 0 = h*j - 4*m - 109, 2*j - 4*m - i = -3*j. Is j a prime number?", "a": "False" }, { "q": "Let j = -2467 - -1550. Let g = -595 - j. Suppose -2*r = -186 - g. Is r a prime number?", "a": "False" }, { "q": "Is 5158*(-1)/2*12/(-12) prime?", "a": "True" }, { "q": "Suppose 186*c = 154*c + 765359 + 883889. Is c a composite number?", "a": "False" }, { "q": "Let y(l) = l**2 - 5*l + 9. Let o be y(5). Suppose 3052 + 13733 = o*n. Is n a composite number?", "a": "True" }, { "q": "Let q = 40 + -37. Suppose q*u + 232 = 5*u. Suppose -7*l + 1137 = -u. Is l a composite number?", "a": "False" }, { "q": "Let m = -9 - -9. Suppose -3*c + 1234 = 5*l, m*l + 4*l = 3*c + 998. Is -4 - l/(-4) - (0 + 3) a prime number?", "a": "False" }, { "q": "Let g(p) = 43*p + 59. Let l be g(-9). Let j = l + 2507. Is j a prime number?", "a": "True" }, { "q": "Let r(d) = -3180*d - 523. Is r(-21) prime?", "a": "False" }, { "q": "Suppose -254*w + 257*w = 4*n - 230360, 0 = -3*n - 5*w + 172741. Is n composite?", "a": "False" }, { "q": "Let g be ((-12)/16)/((-2)/16) - 1. Suppose 16*j = g*j + 8767. Is j prime?", "a": "True" }, { "q": "Let z be (4/3)/((-136)/(-306)). Suppose -z*n - 3373 = -2*l, 4*l - 3*l + 2*n = 1697. Is l composite?", "a": "True" }, { "q": "Suppose 0 = -4*q - 141 - 2495. Let p = 1188 - q. Is p prime?", "a": "True" }, { "q": "Suppose -5*z = d + 4, -3*z = 5*d + 2*z. Let y(k) = 36*k - 10. Let j(c) = -c. Let o(v) = d*y(v) - 5*j(v). Is o(3) composite?", "a": "False" }, { "q": "Let n(l) = 221*l**2 - 25*l - 6. Let x be n(9). Let i = x - 8381. Is i a prime number?", "a": "False" }, { "q": "Let k(p) be the third derivative of 63*p**4/8 - 17*p**3/6 - 20*p**2. Is k(18) a composite number?", "a": "True" }, { "q": "Is 1311345/12 - (-6)/24 a prime number?", "a": "True" }, { "q": "Suppose 0 = 44*z - 14*z - 23*z - 46417. Is z a composite number?", "a": "True" }, { "q": "Let u(v) = 276*v - 1471. Is u(14) a composite number?", "a": "False" }, { "q": "Suppose w - 177462 = -w - 2*y, 0 = -3*y - 12. Is w composite?", "a": "True" }, { "q": "Let r(c) = 3*c**3 - 38*c**2 - 16*c - 208. Is r(29) a prime number?", "a": "False" }, { "q": "Let l(x) = x**3 + 23*x**2 + 3*x + 6. Let a(z) = -2*z**2 + 11*z - 31. Let f(s) = 2*s**2 - 12*s + 31. Let p(u) = -2*a(u) - 3*f(u). Let w be p(6). Is l(w) prime?", "a": "False" }, { "q": "Let r be 108/30 - 2/(-5). Suppose -2*m - 778 = 2*k, r*m - k + 3*k + 1548 = 0. Let l = 696 + m. Is l prime?", "a": "True" }, { "q": "Suppose 0 = -5*n + n + 11320. Suppose 3*x - 1900 = 2*o - 322, -o - 2637 = -5*x. Suppose x - n = -2*c. Is c a composite number?", "a": "False" }, { "q": "Suppose 4 = z - 0. Suppose z*a - 6 = a. Is ((-238)/(-4) - 3)*a a composite number?", "a": "False" }, { "q": "Let g(y) = 46467*y**3 - 13*y**2 + 17*y + 1. Is g(2) composite?", "a": "False" }, { "q": "Suppose -55609 + 18594 = -13*j + 2*j. Is j prime?", "a": "False" }, { "q": "Suppose -5*l = -5, 6*l - 10*l - 12 = -4*j. Suppose -3*g + 8*g - 5*s - 16300 = 0, -3*g - j*s = -9801. Is g a composite number?", "a": "True" }, { "q": "Let o = -17533 - -42534. Is o composite?", "a": "True" }, { "q": "Let a = 842 + -1179. Let u = -70 - a. Is u a composite number?", "a": "True" }, { "q": "Suppose 28*l = 33*l - 23765. Let q = l - 3356. Is q prime?", "a": "False" }, { "q": "Let r = -25 - -28. Let f(q) = -7 + 8*q**2 + 0*q + 7*q - 5*q - r*q. Is f(-6) a composite number?", "a": "True" }, { "q": "Is (9 - (27 - 17))*19226/(-2) a composite number?", "a": "False" }, { "q": "Suppose -j + 16*a = 13*a - 38984, -4*j - 5*a + 155987 = 0. Is j prime?", "a": "True" }, { "q": "Suppose 0 = d + 3*d - 16. Suppose 2*f - 2 = d. Suppose f*v - 682 = -2*p, 3*v = 3*p - 0*p + 672. Is v prime?", "a": "False" }, { "q": "Is (433070/16 + (-4)/((-32)/(-3)))*2 a composite number?", "a": "False" }, { "q": "Suppose -2*b = -3*b + 1, -37 = -3*k + 2*b. Suppose 12*w - 3 = -75. Let a = k - w. Is a a prime number?", "a": "True" }, { "q": "Suppose 5*t - 74 = 36. Is ((-1)/3 + 0)/(t/(-198462)) prime?", "a": "False" }, { "q": "Suppose 2*p - 410572 = -4*j, 107*j + 205286 = 109*j + 3*p. Is j prime?", "a": "True" }, { "q": "Let n be ((-2)/(-4 + 2))/((-2)/(-4)). Is n - 2 - 4844/(-3 - 1) a prime number?", "a": "False" }, { "q": "Suppose 3*c + 2*c - 5*m = 46220, -5*c + 46232 = -2*m. Suppose -3*j + c = j. Let y = j - 913. Is y a prime number?", "a": "True" }, { "q": "Let h = 1664 + 375. Suppose -2*y + 8903 = -2*z + h, -6899 = -2*y - 5*z. Is y a composite number?", "a": "True" }, { "q": "Let y = -18283 - -32330. Is y prime?", "a": "False" }, { "q": "Suppose 0 = -2*g + 15*g. Suppose g = -f + 3097 + 1009. Is f a prime number?", "a": "False" }, { "q": "Let j(h) = 2*h - 19. Let o be j(-13). Let b = -45 - o. Suppose -123 = -2*i - v + 2*v, -i + v + 64 = b. Is i prime?", "a": "True" }, { "q": "Let q(u) = 95*u + 81. Is q(38) prime?", "a": "True" }, { "q": "Suppose -3*l + 0 - 3 = 3*t, -5*l - 15 = 0. Suppose -f = t*r - 255, -265 = -r - r - 3*f. Suppose -a + q = -2*q - r, -2*a + 258 = -2*q. Is a a prime number?", "a": "True" }, { "q": "Let w = -3 + 21. Let g be (7 + -5)*w*1. Suppose 37*d = g*d + 10. Is d composite?", "a": "True" }, { "q": "Let q = 66 + -66. Let f(r) = -r**2 + 13*r + 20. Let g be f(14). Suppose g = z - 3*z, q = -c + 3*z + 302. Is c a composite number?", "a": "False" }, { "q": "Suppose p - 20208 = -5*l + 90218, -5*l + 110421 = -4*p. Suppose 3*t - 8*t + l = -4*a, a = -4*t + 17647. Is t prime?", "a": "False" }, { "q": "Suppose -21*q = -31*q + 200. Is (-5)/q*74*-74 composite?", "a": "True" }, { "q": "Suppose 0*h - 10 = -h. Suppose 8*c - 6 = h. Suppose 0 = c*x + 5*x - 623. Is x prime?", "a": "True" }, { "q": "Let x = 57667 + 3664. Is x composite?", "a": "False" }, { "q": "Suppose 5*i + 3*u - 55754 = 0, -u = -8*i + 7*i + 11146. Is i a prime number?", "a": "True" }, { "q": "Let c be 1/((-6)/(-60))*4/(-10). Let u be 30 - (8 + c + -4). Suppose u = 4*x - 406. Is x composite?", "a": "False" }, { "q": "Let v = 20783 + -5686. Is v prime?", "a": "False" }, { "q": "Let t(v) = 38*v - 21. Let s be (4/6)/(16/984). Suppose 7*l - 181 = -s. Is t(l) composite?", "a": "False" }, { "q": "Is (66812*3/24)/((-16)/(-224)) composite?", "a": "True" }, { "q": "Let f(u) = -u**2 + 18*u + 27. Let s be f(14). Is s/((-5)/((-35)/1)) a composite number?", "a": "True" }, { "q": "Suppose 3*p = 15*p + p - 223561. Is p a composite number?", "a": "True" }, { "q": "Suppose 6*l - 51 = -33. Suppose 0 = -l*t - t - 4*k + 14852, 4 = -2*k. Is t a composite number?", "a": "True" }, { "q": "Suppose 1612911 = 24*o - 19785. Is o composite?", "a": "True" }, { "q": "Suppose -4*c = 2*q + q + 12, -q - 4 = -4*c. Let h be 17*(-39 + c)*(1 + -2). Suppose 4*k = -2*x + 528, -3*x + h = 5*k - 2*x. Is k composite?", "a": "True" }, { "q": "Let l = -102 + 126. Is 6/l*12045 + 2/(-8) composite?", "a": "False" }, { "q": "Suppose 0 = -x, -10 = -0*q - 2*q + 3*x. Suppose 6215 = 5*h - 2*r - 0*r, 4*h + q*r = 4972. Is h prime?", "a": "False" }, { "q": "Suppose -132*g = -133*g. Is (g - (-986)/4)*4/2 a prime number?", "a": "False" }, { "q": "Suppose 9 = q - 4*q, 0 = 5*l - q + 98627. Is ((-3)/(-6) - 3/3)*l prime?", "a": "False" }, { "q": "Suppose 2*p = -u + 1, 8 + 10 = 2*u - 4*p. Suppose -2*x - u*d + 673 = 0, -1 - 4 = -5*d. Is x a prime number?", "a": "False" }, { "q": "Suppose -7*d + 98 - 7 = 0. Suppose -d*h = -14*h + 895. Suppose 2623 = 2*u - h. Is u a prime number?", "a": "True" }, { "q": "Suppose 4*u - 10 = 2*v - 2, 3*v - 3*u + 3 = 0. Suppose 2*q - v*s + 1020 = 6220, 0 = -4*q - s + 10410. Is q prime?", "a": "False" }, { "q": "Suppose -14*j + 1735576 = -36*j + 8407230. Is j prime?", "a": "True" }, { "q": "Let m(p) be the third derivative of p**6/120 - p**5/10 - 11*p**4/24 - 13*p**3/6 + 306*p**2. Suppose -8 = -y + 1. Is m(y) a composite number?", "a": "False" }, { "q": "Let c(q) = 42 + 147*q - 45 - 122. Is c(24) a composite number?", "a": "True" }, { "q": "Let s = 30 - 38. Let f(k) = -8*k**2 - 2*k**3 - 13*k + 2 + 5 + 10*k + 8*k. Is f(s) a composite number?", "a": "False" }, { "q": "Suppose 3*y = -3*l + 126306, 5*l - 27*y = -28*y + 210506. Is l a prime number?", "a": "True" }, { "q": "Let w(t) = 1398*t**2 + 12*t - 10. Let v(u) = -1398*u**2 - 13*u + 10. Let f(c) = 3*v(c) + 4*w(c). Is f(1) prime?", "a": "False" }, { "q": "Let s(v) = v**3 + 2*v**2 - v + 3839. Let j be s(0). Suppose -9*t + 14*t - j = -4*y, 3838 = 5*t + 3*y. Is t composite?", "a": "True" }, { "q": "Suppose -4 + 10 = 3*x. Suppose -5*h - 23810 = -4*b, -3*h = x*h - 2*b + 23820. Let r = -859 - h. Is r a prime number?", "a": "True" }, { "q": "Let a = -11 - -19. Let r be 3/(-3*(-4)/a). Is (r - 19)/((-8)/40) composite?", "a": "True" }, { "q": "Let h(a) = 355*a**2 + 212*a**2 + 9 - 158*a**2 - 8*a. Is h(4) prime?", "a": "True" }, { "q": "Suppose 4*j - 16 = -z, z + 4*j = 2*z + 8. Suppose m - 2 = 4*l, -z*m + l + 3*l - 28 = 0. Is (40/(-6))/m*(-1902)/(-4) prime?", "a": "True" }, { "q": "Let o be -6*((-1)/7 + (-15242)/28). Let z = -1910 + o. Is z a composite number?", "a": "True" }, { "q": "Suppose 2*c = 4*a + 136702, 0 = -2*c - 4*a + 86669 + 50033. Is c a composite number?", "a": "False" }, { "q": "Let k(j) = 3*j**2 + 9*j + 6. Let x be k(-5). Let m = -61 + x. Is 6906/10 - 10/m composite?", "a": "False" }, { "q": "Let r(q) = q**3 + 6*q**2 - 6*q + 10. Let k be r(-7). Suppose -k*n + 6 = -3. Suppose -n*f - 306 = 4*i - 1197, 5*f - 1502 = -i. Is f a composite number?", "a": "True" }, { "q": "Let s(u) = 163*u + 14. Let d be s(8). Let p = -769 + d. Suppose 4*z = k - p, k - 3*z - 2*z = 547. Is k a composite number?", "a": "False" }, { "q": "Suppose -3*f - 4*r + 30 = 0, 0*r = -2*f - 4*r + 20. Let n be (-43958)/(-8) - f/(-40). Suppose 4*a + 192 + 3105 = 3*s, -5*s + 3*a + n = 0. Is s prime?", "a": "False" }, { "q": "Suppose -2*g + 14 = -4*s, -2*g + s + 16 = -4*s. Suppose 0 = -z - 3, g*t + z = -0 - 9. Is 3 + t + 81 + 6 + -3 a composite number?", "a": "True" }, { "q": "Let q be (-297)/(-4)*(80/(-15))/(-1). Suppose t + 3*t + q = 0. Let o = t - -286. Is o composite?", "a": "True" }, { "q": "Let u(x) = 7 - 8*x - 16 + 0. Let f = -16 - -10. Is u(f) prime?", "a": "False" }, { "q": "Let s = -25 + 25. Suppose 3*k + 3*b = 16038, 3*b + 3 = -s*b. Is k a composite number?", "a": "False" }, { "q": "Suppose 0 = -h - 8*z + 3*z - 21, -4 = 4*h + 4*z. Suppose 4*k = 5*w + 1285, 5*w = -h*k + 422 + 813. Let b = k - 106. Is b a composite number?", "a": "True" }, { "q": "Let y = 242 - 146. Suppose y = -4*h + 520. Is h composite?", "a": "True" }, { "q": "Suppose 0*n - 2*q - 9060 = -4*n, 0 = -4*q - 16. Let x = n - 1196. Is x composite?", "a": "True" }, { "q": "Suppose 35*o = -45*o - 20631 + 247111. Is o a composite number?", "a": "True" }, { "q": "Let r(b) = 7440*b**3 - 7*b**2 + 4*b + 14. Is r(3) prime?", "a": "True" }, { "q": "Let l(u) = -u**3 + 5*u**2 - 5*u + 1. Let j be l(2). Suppose -j*h + v = -1283 + 25, 0 = 5*h + 5*v - 2090. Is h prime?", "a": "True" }, { "q": "Let h be (-2)/(-8) - 18/(-24). Is 46086/22 - h*8/(-44) composite?", "a": "True" }, { "q": "Is (55020 - 2)*(52/(-234))/(4/(-9)) prime?", "a": "True" }, { "q": "Suppose 0 = -t + 511 + 95. Let k = t - -2113. Is k composite?", "a": "False" }, { "q": "Let c = 8644 - 2208. Let b = -4275 + c. Is b composite?", "a": "False" }, { "q": "Let w be 4/(8/(-10))*(-8)/10. Is -1 + w + (6 + -3 - -3893) a composite number?", "a": "True" }, { "q": "Let a be ((-45)/(-20) - 3)/((-3)/36). Suppose -5*h + 7393 = 2*x, a*h + 5*x + 2934 = 11*h. Is h a prime number?", "a": "False" }, { "q": "Suppose 0 = 11*i + 1535798 - 3604755. Is i a composite number?", "a": "True" }, { "q": "Let d(a) = 34*a - 65. Is d(43) a composite number?", "a": "True" }, { "q": "Suppose -9*c = -c - 21040. Suppose -47*f - c = -49*f. Is f a prime number?", "a": "False" }, { "q": "Let a(n) be the third derivative of -323*n**4/12 + 27*n**3/2 - 17*n**2. Is a(-8) a prime number?", "a": "False" }, { "q": "Let b(c) = -126*c - 9*c**2 + 5 + 129*c - 3*c**3 - 15. Is b(-7) a composite number?", "a": "False" }, { "q": "Suppose 0 = 18*h - 69 - 3. Suppose 12*s = h*s + 904. Is s a prime number?", "a": "True" }, { "q": "Suppose -13*d + 6*d - 9*d + 1383136 = 0. Is d composite?", "a": "True" }, { "q": "Suppose -8*x - x + 288 = 0. Is 11/2*x - -3 prime?", "a": "True" }, { "q": "Let d(b) = -3*b - 11. Let u be d(-5). Suppose 8*o + 72 = u*o. Is ((-188)/(-24) - 2) + (-3)/o a composite number?", "a": "True" }, { "q": "Let b(o) be the first derivative of 5 - 3*o - 3/2*o**2 + 46/3*o**3. Is b(-2) a composite number?", "a": "True" }, { "q": "Suppose 4*s = -9*f + 7*f + 203078, 0 = 5*s - 5*f - 253870. Is s composite?", "a": "True" }, { "q": "Let j = 1562 - -2031. Is j a prime number?", "a": "True" }, { "q": "Suppose v + z = -3*v + 586569, -5*v - 4*z + 733225 = 0. Is v composite?", "a": "True" }, { "q": "Suppose -w = 5*l - 14454, 269*l - 272*l = w - 14448. Is w prime?", "a": "False" }, { "q": "Suppose -2*o - 40 = 6. Let i(y) = y**3 + 28*y**2 + 11*y - 59. Is i(o) prime?", "a": "True" }, { "q": "Let n(b) = -b**3 + 9*b**2 + 11*b - 7. Let y be n(10). Suppose -j = y*g - 8332, -j = 7*g - 10*g + 8342. Is g a prime number?", "a": "False" }, { "q": "Let y be ((-24)/(-14))/(78/25935). Suppose -3*d = -y - 759. Is d a composite number?", "a": "False" }, { "q": "Suppose 0*q = -o + q + 2260, 3*o + q - 6800 = 0. Let x = -1454 + o. Is x a composite number?", "a": "False" }, { "q": "Suppose 160*y = 4*u + 156*y - 151764, -2*u = -3*y - 75884. Is u a prime number?", "a": "False" }, { "q": "Let r be ((-15)/(-10))/(1/(-2)). Is 2155/(-4)*r/((-3)/(-4)) a composite number?", "a": "True" }, { "q": "Suppose -4*l + 69037 = 3*y, 5*l + 27*y - 25*y = 86291. Is l a prime number?", "a": "True" }, { "q": "Suppose 16742647 - 5793403 = 76*h. Is h prime?", "a": "False" }, { "q": "Let i = -204 + 57. Let b = -847 + 1437. Let k = b - i. Is k prime?", "a": "False" }, { "q": "Suppose -3*g + 2*f + 995 = -1077, 0 = 4*f + 4. Let l be (-1 - -2)*6/((-12)/(-5566)). Suppose -g + l = 7*j. Is j a prime number?", "a": "False" }, { "q": "Suppose -35140 = -7*r + 917. Suppose -5*n + 6*p - 5*p = r, 4*p = -5*n - 5146. Is n/(-18) - (-6)/(-27) a prime number?", "a": "False" }, { "q": "Let l(z) = 15*z**2 + 4*z - 13. Let t(m) be the first derivative of 2*m**3/3 - 3*m**2/2 + 3*m - 3. Let y be t(2). Is l(y) a composite number?", "a": "True" }, { "q": "Suppose 3*v + 6*v = 45. Suppose 3*y = -2*o + 3265, -3*o - 5449 = -v*y + o. Is -7 + 3 + 2 + y composite?", "a": "False" }, { "q": "Let k(r) = -r**3 + r**2 - 2*r + 4. Let g be k(0). Suppose 4*q + 71 = -5*z, 57 + 2 = -g*q - z. Is ((-3)/(-2))/(12/(-116))*q composite?", "a": "True" }, { "q": "Suppose 8*k - 3*k - 20 = 0. Let i = 1 + k. Suppose -y + 28 - i = 0. Is y a prime number?", "a": "True" }, { "q": "Let c = -965 - -18384. Is c composite?", "a": "False" }, { "q": "Let w be ((-6)/(-4))/((-1)/(-2)*1). Suppose 0 = -2*z - 2*z - h - 26, -w*z - 5*h = 28. Is 1 + ((-308)/z - 2/(-3)) composite?", "a": "False" }, { "q": "Is (-1727)/(-471) + (-71732)/(-6) prime?", "a": "True" }, { "q": "Let q = -17 - -16. Let a be 7 - ((0 - 2) + 0/q). Let d(n) = n**3 + 2*n + 4. Is d(a) a prime number?", "a": "True" }, { "q": "Let k be (3 + -1)/2 - -5. Let m = -1076 + 4141. Suppose -k*v - m + 11951 = 0. Is v prime?", "a": "True" }, { "q": "Is ((-853115)/((-20)/(-4)))/(-8 - -11 - 4) a prime number?", "a": "False" }, { "q": "Let c = 280 - -8470. Suppose c + 1636 = 9*k. Is k a prime number?", "a": "False" }, { "q": "Let j(v) be the third derivative of -v**6/120 + 13*v**5/30 + 17*v**4/24 + 3*v**3/2 + v**2 + 2*v. Is j(23) prime?", "a": "True" }, { "q": "Let x(j) = j**3 + 44*j**2 + 42*j - 120. Is x(-37) a prime number?", "a": "False" }, { "q": "Let o = 5 + 1. Let x be 4/(-16) + 762/8. Suppose o*g = g + x. Is g composite?", "a": "False" }, { "q": "Suppose 5*z + 3*r = 44660 + 126200, -2*r + 136686 = 4*z. Is z prime?", "a": "False" }, { "q": "Let b(x) = 13*x + 1. Let c(y) = y**3 - 11*y**2 - 8*y - 18. Let n be c(12). Suppose 2*p = 6*p - 2*m - 24, 5*p - n = 4*m. Is b(p) a composite number?", "a": "False" }, { "q": "Let p = -42 + 2. Suppose 12 = -5*m + m. Let a = m - p. Is a a composite number?", "a": "False" }, { "q": "Let u(q) = -q**3 + 74*q**2 - 13*q + 97. Is u(42) prime?", "a": "False" }, { "q": "Let a = 43 + 5. Let h(b) = b**3 + 5*b**2 + 4*b + 1. Let p be h(-4). Is a/(-12) + p*681 composite?", "a": "False" }, { "q": "Let w = 19683 + -13192. Is w prime?", "a": "True" }, { "q": "Let n = 20468 + -8754. Is n composite?", "a": "True" }, { "q": "Suppose -11*o + 13*o = 0. Suppose -5*u - 4*i + 2065 = o, 5*i - 7*i = 3*u - 1237. Is u a composite number?", "a": "False" }, { "q": "Let u be (-126849)/(-15) - (-3)/(-15)*-2. Let y = u - 4912. Is y a composite number?", "a": "True" }, { "q": "Suppose 0 = -5*y + 97116 + 889. Suppose -y - 23512 = -7*n. Is n a prime number?", "a": "False" }, { "q": "Let p = -5 + 19. Let g = 15 - p. Is (-2614)/(-1) + (g - 4 - 0) composite?", "a": "True" }, { "q": "Suppose -8*t - 76077 + 19101 = 0. Let w = -4915 - t. Is w composite?", "a": "False" }, { "q": "Is 136743/7 + 2/7 + 96 + -90 composite?", "a": "False" }, { "q": "Let u(t) = 120*t**2 - 5*t - 1. Let l = 20 + -14. Is u(l) a composite number?", "a": "False" }, { "q": "Let h(w) = -2*w**2 + 6*w - 4. Let v(x) = 3*x**2 - 5*x + 4. Let i(k) = -4*h(k) - 3*v(k). Let y be i(-9). Suppose 156 + 2168 = y*a. Is a prime?", "a": "False" }, { "q": "Let h = 4689 + -91038. Is -1*(h/51 + (-6)/(-51)) a prime number?", "a": "True" }, { "q": "Let g = -503 - 69. Suppose -9*c + 6*c + 6687 = 0. Let f = c + g. Is f a composite number?", "a": "False" }, { "q": "Let x be 0/(1/(-2)*4). Let p(w) = 8*w + 2503. Is p(x) composite?", "a": "False" }, { "q": "Let o(u) = 6 + 4 - 315*u - 22. Is o(-15) composite?", "a": "True" }, { "q": "Let t = 174 + -179. Is -1*(-5 - t) + 474/3 a prime number?", "a": "False" }, { "q": "Suppose -2*k + o = -k + 48, -5*k + 4*o = 235. Let h = 46 + k. Is (3 - (2 - h))*(-4604)/(-16) composite?", "a": "False" }, { "q": "Let j(p) = -2*p**2 - 16*p + 2. Let i be j(-8). Suppose i*x = 2008 - 782. Is x a composite number?", "a": "False" }, { "q": "Suppose 3*m = -a - a - 794, 2 = -m. Is (-6)/(-4)*-2*a/3 a prime number?", "a": "False" }, { "q": "Let s(x) = -x**2 - 11*x - 32. Let f be s(-7). Is (-1)/((6 + f)*(-1)/7814) composite?", "a": "False" }, { "q": "Suppose 56*h - 589 = 37*h. Let f be (4/(-5))/(1/(-330)). Let b = f - h. Is b a prime number?", "a": "True" }, { "q": "Let p be (1 + (-1)/(-1))*(-667 + -7). Let b = 3807 + p. Is b a composite number?", "a": "False" }, { "q": "Let a = 9 + 15. Suppose p = -a - 484. Let u = -314 - p. Is u a composite number?", "a": "True" }, { "q": "Let h be 2 + ((-1)/1 - (-5898 - 0)). Let r = h + 622. Is r composite?", "a": "False" }, { "q": "Is 22223 + (12 - (11 + -11)) a prime number?", "a": "False" }, { "q": "Let p = 200 - 195. Suppose 0 = -4*v - 5*r + 2751, -p*v - 4*r + 685 = -4*v. Is v a composite number?", "a": "True" }, { "q": "Suppose 35526 = -2*t + 3*r + 104870, -4*t - 4*r + 138668 = 0. Is t a composite number?", "a": "True" }, { "q": "Let w = -140603 - -290014. Is w prime?", "a": "True" }, { "q": "Suppose -12*q + 251701 + 209701 = -72202. Is q a prime number?", "a": "False" }, { "q": "Suppose 4*x = -33 + 6409. Is ((-176)/(-224) + (-4)/14)*x a prime number?", "a": "True" }, { "q": "Suppose 0 = 7*l + 3 - 24. Suppose -4344 = -l*t + 3483. Is t composite?", "a": "False" }, { "q": "Let h be (15/45)/(3/27). Suppose h*c = q + 2900 + 2071, 0 = -3*c + 3*q + 4971. Is c a prime number?", "a": "True" }, { "q": "Suppose -8*x + 11*x = 4950. Let t be (-21773)/(-13) - (-6)/39. Suppose 0 = -5*y - z + x, -5*y + 2*z + t = -2*z. Is y composite?", "a": "False" }, { "q": "Suppose 37*d - 59*d = -1844722. Is d composite?", "a": "True" }, { "q": "Is (-3836)/(-112)*-2*(-1 - 33) a composite number?", "a": "True" }, { "q": "Let r = 58930 - 37229. Is r composite?", "a": "False" }, { "q": "Suppose 141699 = 3*f + 47*w - 48*w, 47233 = f - 2*w. Is f a composite number?", "a": "True" }, { "q": "Let f(i) = 680*i**2 + 12*i + 17. Let l be f(-6). Suppose 23*b - 18*b = l. Is b a composite number?", "a": "True" }, { "q": "Suppose -2*a - 2*g = -3*a + 167709, 3*a - 503132 = g. Is a a prime number?", "a": "True" }, { "q": "Suppose 2*t + 2*r - 2 = t, 5*t - 10 = -5*r. Suppose 3*w - n = 13, -t*w - 2*n = 2*n + 10. Suppose 4*d = 3*a - 5027, 0 = w*d + 6 - 0. Is a a prime number?", "a": "False" }, { "q": "Suppose -20*y = -17*y - 11637. Suppose -y = -8*d + 6785. Is d composite?", "a": "True" }, { "q": "Suppose -47*t + 28124 + 908584 = -35*t. Is t a prime number?", "a": "True" }, { "q": "Let h(t) = -430*t - 803. Is h(-18) a composite number?", "a": "True" }, { "q": "Let f(y) = -y + 3. Let q be f(-18). Let j(w) = 62*w - 111. Is j(q) a prime number?", "a": "False" }, { "q": "Let w be 12/(-8)*(-10)/3. Let z be (3 - 0)*115 - -3. Suppose -w*q + 2*i - 7*i + 425 = 0, -4*q - 2*i = -z. Is q a composite number?", "a": "False" }, { "q": "Let p = 7 - 5. Let s(n) = -5*n - p*n + 1 + 42*n**2 - 2 + 2*n. Is s(-2) a composite number?", "a": "True" }, { "q": "Let z(v) = -616*v - 1333. Is z(-53) a prime number?", "a": "False" }, { "q": "Suppose 3*q = 43972 + 8681. Is q prime?", "a": "True" }, { "q": "Let s = -119415 + 213148. Is s prime?", "a": "False" }, { "q": "Suppose -8776 = 7*u - 5*u. Let m = u + 6909. Is m prime?", "a": "True" }, { "q": "Let l = 136 + -161. Is l/(-20) - 1 - (-24086)/8 prime?", "a": "True" }, { "q": "Let g(q) = 9*q**2 + 14*q - 13. Let t be g(12). Suppose -w + 2462 = -3*o, 2 = -w + 4. Let x = t + o. Is x prime?", "a": "True" }, { "q": "Suppose 4*z + 2080 = 2*u, 3*u - 4*u + 1560 = -3*z. Let y = 1151 + z. Is y a composite number?", "a": "False" }, { "q": "Let j be (-1 - 0 - -1)/(-1). Suppose 2*b - 7 = k, 0 = -10*b + 5*b + 3*k + 15. Suppose 8*n - b*n - 2238 = j. Is n composite?", "a": "True" }, { "q": "Let d = -4 + 11. Suppose -d*f - 836 + 44215 = 0. Is f a composite number?", "a": "False" }, { "q": "Let z = 192 - 188. Suppose 3*h = z*s + 7*h - 8724, -s + 2181 = -h. Is s a composite number?", "a": "True" }, { "q": "Let o(f) be the first derivative of -7*f**2 - 9*f + 5. Suppose 1 = k - 2*l + 6, -5*k - 11 = 4*l. Is o(k) a prime number?", "a": "False" }, { "q": "Let f be -3676 + (1 - 4 - 0). Let w = 2622 + f. Let r = 2174 + w. Is r a composite number?", "a": "False" }, { "q": "Suppose -271199 = -616*z + 556*z + 144121. Is z a composite number?", "a": "True" }, { "q": "Suppose -2*m = -4*o - 252, 3*m + 75 = -3*o + 408. Suppose -434 = -h - m. Suppose -6*s = -0*s - h. Is s composite?", "a": "False" }, { "q": "Let h = -222 + 195. Is (-7905)/h + (-4)/(-18) prime?", "a": "True" }, { "q": "Let w(p) = 21*p**2 - 26*p + 292. Is w(7) prime?", "a": "False" }, { "q": "Let z = -4094 - -7243. Is z a prime number?", "a": "False" }, { "q": "Suppose 0 = -h + 4704 - 1080. Suppose n = -5*n - h. Let y = n - -1089. Is y prime?", "a": "False" }, { "q": "Let a be (-360 + 0)/(27/(-36)). Let m = a - -1468. Suppose 4*u - m = -312. Is u prime?", "a": "True" }, { "q": "Is (-33)/231 - (-1 - 200)*36294/63 composite?", "a": "True" }, { "q": "Suppose 5*z - m + 18 = 0, 0 = 2*z + z - 4*m + 4. Let c = 299 + -300. Is 4 - c*(-2092)/z a prime number?", "a": "False" }, { "q": "Let k(j) = 3*j + 9. Let b be k(-3). Suppose b = 2*u - 4*m - 26, 4*u - m - 4 = -5*m. Suppose 271 = u*d - 364. Is d a composite number?", "a": "False" }, { "q": "Suppose 85*f - 81*f = -28520. Let h = f + 10651. Is h prime?", "a": "False" }, { "q": "Let f = -136154 - -302165. Is f composite?", "a": "True" }, { "q": "Let r be (-3856)/6*306/(-136). Suppose -g + 1663 + r = 0. Is g a composite number?", "a": "False" }, { "q": "Let j = -2637 + 2704. Is j prime?", "a": "True" }, { "q": "Let b = -7695 + 14798. Is b a prime number?", "a": "True" }, { "q": "Is (-6 - (-4323)/22)*(-346)/(-3) prime?", "a": "False" }, { "q": "Suppose -71338 = -2*z - 4*t, z - 1694 = -5*t + 33972. Is z a composite number?", "a": "False" }, { "q": "Is 258756/9 + (80/15 - 5) a prime number?", "a": "True" }, { "q": "Let p(l) = l**2 + 11*l + 1. Let k be p(-13). Suppose 5*b = -4*b + k. Suppose 0 = 4*w - 2*f - 3470, w - 857 = b*f + f. Is w a prime number?", "a": "False" }, { "q": "Suppose 3*n - 33 = i + 49, 2*n + 2*i - 52 = 0. Let m(x) = x**3 - 28*x**2 + 28*x - 5. Is m(n) a prime number?", "a": "False" }, { "q": "Is (1596/(-315))/38 - 499937/(-15) prime?", "a": "True" }, { "q": "Let u be (-5 - -123)/(4/94). Let m = u - 710. Is m composite?", "a": "False" }, { "q": "Let z(o) = 1025*o**2 + 27*o + 1. Is z(-6) composite?", "a": "False" }, { "q": "Suppose -3*d = -2*d. Suppose 0 = 3*z - 4*r - 4, 50*z + 4*r = 51*z + 4. Suppose -2*g + 418 + z = d. Is g a composite number?", "a": "False" }, { "q": "Suppose -98*b + 1195 = -177. Is b prime?", "a": "False" }, { "q": "Is -3*1/(-3) - (12 - -8623)*-16 composite?", "a": "True" }, { "q": "Suppose -554*r + 7862159 = -475*r. Is r a composite number?", "a": "True" }, { "q": "Let c be 76/(-494) - (0 - 37/(-13)). Let y(q) = -731*q - 34. Is y(c) a composite number?", "a": "True" }, { "q": "Suppose -67193 = 3*t - 256484. Is t a composite number?", "a": "False" }, { "q": "Suppose -m - 16798 = -1302. Is ((-1)/(4/m))/2 a prime number?", "a": "False" }, { "q": "Suppose 0 = 5*o + 5, c - 2*c = -2*o - 2. Let k = 9 + -7. Suppose 2*z + k*z - 204 = c. Is z a composite number?", "a": "True" }, { "q": "Let u = 2052 + -2006. Is u a prime number?", "a": "False" }, { "q": "Let x(h) = 5315*h**2 + 14*h - 70. Is x(-9) prime?", "a": "True" }, { "q": "Is (-3207339)/(-459)*(23 + -1*2) prime?", "a": "False" }, { "q": "Let l = -3645 - -4018. Is l prime?", "a": "True" }, { "q": "Let t = -48579 + 100028. Is t a composite number?", "a": "False" }, { "q": "Let i(x) = -5*x - 15. Let v(z) = z + 4. Let p(w) = 2*i(w) + 9*v(w). Let t be p(3). Suppose t*k - 336 = 327. Is k a prime number?", "a": "False" }, { "q": "Suppose -30 = 10*a - 0*a. Let k be (458 - 9/a) + -1. Suppose -30*q + 34*q = k. Is q composite?", "a": "True" }, { "q": "Let s(g) = 49*g**2 + 9*g - 3. Suppose 4*m - m = 9, m = 3*n + 27. Is s(n) a composite number?", "a": "False" }, { "q": "Suppose 14*i + 50*i - 14*i - 1822550 = 0. Is i a composite number?", "a": "False" }, { "q": "Let r be -2 + 6 + -3 + -19. Is ((-1)/2)/(r/9756) a prime number?", "a": "True" }, { "q": "Let z(p) = -43*p**3 + 11*p**2 + 23*p + 17. Is z(-8) composite?", "a": "True" }, { "q": "Suppose -21*k - 1272810 = -5*g - 16*k, -g + 254552 = k. Is g a composite number?", "a": "False" }, { "q": "Suppose -3784 + 12568 = 3*u + 3*d, -3*d = -3. Is u prime?", "a": "True" }, { "q": "Let v(h) = -86*h - 20*h + 8*h - 26. Is v(-20) composite?", "a": "True" }, { "q": "Let b = -33 - -36. Suppose -b*o = -2*t - 3*t + 33883, -t = -4*o - 6763. Is t a prime number?", "a": "True" }, { "q": "Let d(p) = 6*p - 37. Let i be d(7). Suppose 4*m - 3810 = -5*y + 2763, 0 = -m - i*y + 1662. Is m a prime number?", "a": "True" }, { "q": "Let n be 22/6 + 1/(3/(-2)). Suppose -3*o = -8*w + 3*w + 12, 0 = 4*w + n*o - 15. Suppose 4*k = -0*k - 3*v + 3062, 0 = -k - w*v + 761. Is k composite?", "a": "True" }, { "q": "Let k be (-4)/(-4) + 48055/7. Is (k/9*3)/(18/27) prime?", "a": "True" }, { "q": "Suppose -2*n = -i - 429662, -4*n - i = 4*i - 859324. Is n a composite number?", "a": "False" }, { "q": "Let h(b) = 145*b**2 + 3*b + 23. Let j(l) = 2*l**2 - l. Let x(a) = h(a) - 2*j(a). Is x(-6) composite?", "a": "True" }, { "q": "Let j(n) = 136*n + 2. Let h be j(-7). Suppose -5211 = 17*y - 8*y. Let q = y - h. Is q composite?", "a": "True" }, { "q": "Suppose 5*z + 30 = 5*i, 4*z - 3*i = -2 - 18. Suppose 3*l = -4*y - 2, -3*y + 0*l + 5*l - 16 = 0. Is 127/((-2)/(-16)*z*y) a composite number?", "a": "True" }, { "q": "Let q(m) = 7*m**3 + 4*m**2 - m + 3639. Is q(0) a prime number?", "a": "False" }, { "q": "Let d be ((-8)/(-6))/(4/96*-1). Let h be d/(-12)*(-18)/8. Is -4 + 26 - h/(-2) a composite number?", "a": "False" }, { "q": "Let d be -7 + 9 + (2 + -1 - -6736). Suppose 0 = -3*h + 4*u + d, u + 4 = 3*u. Is h composite?", "a": "True" }, { "q": "Let a(b) be the third derivative of -b**6/12 + b**5/30 + b**4/4 + b**3/6 - 6*b**2. Is a(-2) composite?", "a": "True" }, { "q": "Suppose 4*o = -5*n + 123661, 61747 + 61919 = 5*n - o. Is n a composite number?", "a": "False" }, { "q": "Let f = -187506 + 269945. Is f a prime number?", "a": "False" }, { "q": "Suppose -51540 = -24*h + 1204020. Is h a composite number?", "a": "True" }, { "q": "Suppose -5*j = 10, -3*r + 6*r = 4*j + 17. Suppose r*c - 4*c = -1087. Is c a composite number?", "a": "False" }, { "q": "Let m(w) = -2465*w + 1667. Is m(-44) prime?", "a": "False" }, { "q": "Let d(z) = z**2 - 8*z - 47. Let i be d(11). Is (-71)/(-1)*91/i*-2 prime?", "a": "False" }, { "q": "Let s(y) = 123*y**2 + 44*y - 855. Is s(32) prime?", "a": "False" }, { "q": "Let w(g) = 6*g**2 + 21*g - 16. Let n be w(-16). Let d = 3499 - n. Is d a composite number?", "a": "True" }, { "q": "Let c(j) = 21 - 8 + 3*j + 128*j**2 + 78*j**2 - j. Is c(-3) a composite number?", "a": "False" }, { "q": "Let c = -209 - -149. Is 7889/4 - 45/c prime?", "a": "True" }, { "q": "Suppose -48 = 2*p - 72. Suppose -19*w + p = -16*w. Suppose 0 = 3*k - x + 5*x - 235, 0 = -4*x + w. Is k a composite number?", "a": "True" }, { "q": "Suppose -5*v = g + 4*g - 5, -19 = -4*v + g. Is ((-1)/v)/(58539/11708 - 5) a composite number?", "a": "False" }, { "q": "Let b = 15 + -10. Let m(k) = 2*k - 12. Let i be m(b). Is ((-10)/i)/((-3)/(-393)) a prime number?", "a": "False" }, { "q": "Is (137140/(-3) + 2)/(18/(-27)) composite?", "a": "False" }, { "q": "Suppose 2*f + 0*f = 2*p - 12, 5*p + 3*f + 2 = 0. Let l(q) = 1 + 0*q**3 - 5*q - q**3 + p*q + 2*q**2. Is l(-6) a prime number?", "a": "True" }, { "q": "Let s(v) = -6*v**3 - 15*v**2 + 6*v + 4. Suppose 42*p - 28 = 46*p. Is s(p) composite?", "a": "True" }, { "q": "Let i(k) = -k + 6. Let q = -5 - 9. Let x be i(q). Is (4/6)/(x/17190) a composite number?", "a": "True" }, { "q": "Let i(a) = -3*a + 8. Let d be i(3). Let n be ((-3)/d)/(6 + -5). Suppose -n*k - 3*z = -4188, 0*k - 3*k = -2*z - 4213. Is k a composite number?", "a": "True" }, { "q": "Suppose -3*w - 4*m = 1120, 0*w + 3*m = -2*w - 745. Let b = -1646 + 2607. Let i = w + b. Is i composite?", "a": "True" }, { "q": "Is -2*(159640/(-16) - 2) composite?", "a": "True" }, { "q": "Suppose 4*h = 2*a - 78148, -a + 15750 = 5*h - 23352. Is a prime?", "a": "False" }, { "q": "Suppose -11 = 3*r - 2*r + 4*x, 36 = 4*r - 4*x. Is (-674424)/(-170) - 1/r a prime number?", "a": "True" }, { "q": "Let i = 156 + -361. Let k be 1 + i - 4 - 4. Let m = 299 + k. Is m composite?", "a": "True" }, { "q": "Suppose 403*o - 488204 = 378*o + 1096121. Is o composite?", "a": "True" }, { "q": "Is 7*5/20*(243923 - -1)/3 a composite number?", "a": "True" }, { "q": "Is ((-54962)/14)/(31/(-434)) a prime number?", "a": "False" }, { "q": "Let n(u) = -u**3 + 11*u**2 + 11*u - 1. Let r be n(12). Let c be (-4)/(-6) - r*(-5)/(-15). Suppose -c*m + 3765 + 700 = 0. Is m a composite number?", "a": "True" }, { "q": "Suppose 0 = -2*v - 6, -50*z + 2*v - 902309 = -55*z. Is z prime?", "a": "True" }, { "q": "Let h(g) be the first derivative of g**4/4 - 10*g**3/3 - 15*g**2/2 - 29*g - 1. Let u be -10*(7 - (-4 - (-244)/20)). Is h(u) prime?", "a": "True" }, { "q": "Is 159284/(-10)*(9 - 0)/(-36)*10 composite?", "a": "False" }, { "q": "Let m(l) = 42225*l**2 + 136*l + 269. Is m(-2) prime?", "a": "False" }, { "q": "Let v(c) = 161*c - 46. Is v(3) a prime number?", "a": "False" }, { "q": "Let g(t) = -3*t - 7. Let j be g(-4). Is 1290 + ((-25)/j - -6) a prime number?", "a": "True" }, { "q": "Let z = 60024 - 15077. Is z a prime number?", "a": "False" }, { "q": "Let t = 41381 + -24044. Is t a prime number?", "a": "False" }, { "q": "Let t = 16825 + 14488. Is t a prime number?", "a": "False" }, { "q": "Let i = -33703 + 93200. Is i a composite number?", "a": "False" }, { "q": "Let f(i) = 1811*i**2 - 28*i + 251. Is f(6) a composite number?", "a": "True" }, { "q": "Let j = -184 - -189. Suppose 12*a + 4*u = 8*a + 4668, j*u = -2*a + 2346. Is a prime?", "a": "True" }, { "q": "Suppose 64*i = -m + 63*i + 7088, 0 = -m - 3*i + 7090. Is m prime?", "a": "False" }, { "q": "Let j(m) = -50745*m + 139. Is j(-2) prime?", "a": "False" }, { "q": "Let m(c) = c**2 - c - 1. Let f be m(2). Let g(d) = 1657*d**2. Is g(f) composite?", "a": "False" }, { "q": "Suppose -13*o - 35 = 17. Is o + 0 + 9048 - 3 a composite number?", "a": "False" }, { "q": "Suppose 4*d = 3*h - 30 - 22, 3*h + d - 47 = 0. Suppose -15*s + 11*s = h. Let v(m) = 38*m**2 - 5*m - 14. Is v(s) prime?", "a": "False" }, { "q": "Suppose -4*f - k = -2*f - 75490, 0 = -5*f + 4*k + 188751. Is f a prime number?", "a": "True" }, { "q": "Let l = -82 + -409. Let p = 1005 + l. Is (-5)/((-15)/p)*9/6 a composite number?", "a": "False" }, { "q": "Suppose 4*n - 14 = -t - n, 5*t - 5*n = 100. Suppose -5*o = -t*o + 3122. Is o prime?", "a": "True" }, { "q": "Let w(k) = 608*k + 5. Suppose 4 - 40 = -9*d. Is w(d) a prime number?", "a": "True" }, { "q": "Let l = 65 + -119. Let d = 357 + l. Suppose 2*z - 1259 - d = 0. Is z a prime number?", "a": "False" }, { "q": "Let j(d) = -10983*d - 11. Let o be j(-2). Suppose 0 = 7*p - 1558 - o. Is p a prime number?", "a": "True" }, { "q": "Let m = -179379 + 278926. Is m a composite number?", "a": "True" }, { "q": "Suppose -3*w - 4*a + 431205 = 0, 2*w - 231087 = -3*a + 56384. Is w a prime number?", "a": "False" }, { "q": "Suppose 6*q - 60 = -4*q. Let t(m) = 11*m**3 + 8*m**2 + 2*m + 7. Is t(q) composite?", "a": "False" }, { "q": "Suppose 2*l - 8 = -4. Let i = 8 - l. Is i/12*2*19 composite?", "a": "False" }, { "q": "Suppose -66*m + 3024569 - 199571 = 0. Is m prime?", "a": "False" }, { "q": "Let p(f) = 9*f + 57. Let c be p(-5). Let b(l) = 5*l**2 - 16*l + 13. Is b(c) a prime number?", "a": "True" }, { "q": "Suppose -400*p + 407*p - 149177 - 334964 = 0. Is p a composite number?", "a": "False" }, { "q": "Suppose 4*g + 5953 = 37761. Suppose 0 = v + 2139 - g. Is v composite?", "a": "False" }, { "q": "Let i(t) = t**3 - 15*t**2 + 2*t + 14. Let y be i(12). Let n = 581 - y. Suppose 4*d - 2747 = -n. Is d a composite number?", "a": "False" }, { "q": "Is (-2*264884/(-12))/(16/24) a prime number?", "a": "True" }, { "q": "Suppose -41793 - 658575 = -19*k - 29*k. Is k a composite number?", "a": "False" }, { "q": "Let a be 0 - 4 - (-6 - 0). Is (-3)/(-1*a/1556*6) a composite number?", "a": "False" }, { "q": "Is (3*-108343)/(-18 - 180/(-12)) prime?", "a": "True" }, { "q": "Let w(m) be the first derivative of m - 533/2*m**2 - 1. Is w(-2) prime?", "a": "False" }, { "q": "Is 6/(-9) - 15850715/(-255) composite?", "a": "True" }, { "q": "Let w(f) = -2847*f - 1388. Is w(-37) prime?", "a": "True" }, { "q": "Let s(g) = -10645*g - 3. Is s(-2) a prime number?", "a": "False" }, { "q": "Let c(x) be the second derivative of 17*x**5/60 + x**4/3 - 13*x**3/6 - 5*x**2 + 6*x. Let r(m) be the first derivative of c(m). Is r(6) prime?", "a": "True" }, { "q": "Let x be -4 + 29*1/1. Let u be (2/(-4))/(2/(-12)). Suppose 0 = 5*z - x, 2*l - 5*z - 3760 = -u*l. Is l a prime number?", "a": "True" }, { "q": "Suppose 0*n - 3*k = 3*n - 653700, 4*n - 871607 = 3*k. Is n a prime number?", "a": "True" }, { "q": "Let y(m) = -14687*m - 2082. Is y(-5) prime?", "a": "True" }, { "q": "Let j(l) = 140*l - 383. Is j(8) a composite number?", "a": "True" }, { "q": "Let w = 4205 + 5762. Is w composite?", "a": "False" }, { "q": "Let k(r) = -2*r**3 - 6*r**2 - 1 + 0 - 12*r - 2. Let y = -137 + 129. Is k(y) composite?", "a": "False" }, { "q": "Let u(v) = -2*v**2 - 9*v - 12. Let i(a) = -a**2 + a - 1. Let c(l) = 5*i(l) - u(l). Let y be c(5). Suppose x + 178 = y*x. Is x a composite number?", "a": "True" }, { "q": "Let g = 0 + 3. Suppose -6*b - 6*b - 6*b = 0. Suppose z + c - 79 = b, g*z - 300 + 79 = 5*c. Is z a prime number?", "a": "False" }, { "q": "Let a(k) = 29*k**3 + 5*k**2 + 5*k - 2. Let x be a(4). Suppose 6241 = 5*l - x. Is l a prime number?", "a": "False" }, { "q": "Let a = 55 - 61. Let j = -456 + 207. Is (4/a)/(2/j) a composite number?", "a": "False" }, { "q": "Suppose 12314 = x - 3*a, 0 = -5*x - 16*a + 14*a + 61621. Is x composite?", "a": "False" }, { "q": "Let u(j) = 294*j - 5. Let x(r) = -440*r + 6. Let w(a) = -8*u(a) - 5*x(a). Let p(h) = -h**3 - 7*h**2 - h - 9. Let d be p(-7). Is w(d) a prime number?", "a": "False" }, { "q": "Suppose q = -7*g + 2*g + 20, 3*g = 3*q + 12. Suppose k = -g*v + 5*k + 1504, 0 = 4*v + 4*k - 1472. Suppose -2*w - 2*z = -v, 3*w + w + 3*z - 745 = 0. Is w prime?", "a": "False" }, { "q": "Let d(b) = -b**3 + 10*b**2 - 9*b + 3. Let o be d(9). Suppose p - 5*x + 5 = 17, -o*x = 3*p. Suppose 0 = p*a - 3*l - 608, -5*a + l = 415 - 1948. Is a composite?", "a": "False" }, { "q": "Let d(l) = -2*l**2 - 40*l - 36. Let u be d(-19). Let p(h) = 67*h - 7. Is p(u) prime?", "a": "True" }, { "q": "Let l = -20 - -35. Let x(u) = -3720*u + 8. Let y be x(3). Is (-33)/l + 2 + y/(-10) a prime number?", "a": "False" }, { "q": "Suppose -o + 5*o + 5*m = 33823, 2*o - 16901 = m. Suppose -3*v + o = -5*j, -13750 - 343 = -5*v + 2*j. Is v prime?", "a": "True" }, { "q": "Let v(n) = 16 + 11*n**2 + 3*n + 13*n + 29. Is v(-16) a prime number?", "a": "False" }, { "q": "Let m(f) = -f**3 + 24*f**2 + 2*f - 53. Let j be m(24). Let v(n) = 55*n**2 - 13*n - 31. Is v(j) a prime number?", "a": "True" }, { "q": "Let u = 202 - 193. Suppose -u*c - 3*c = -2244. Is c a prime number?", "a": "False" }, { "q": "Suppose -66*a + 64134 + 510686 = -46*a. Is a a prime number?", "a": "False" }, { "q": "Suppose -150*v + 155*v = 2255. Let r = v - -792. Is r a prime number?", "a": "False" }, { "q": "Suppose -g - 4 = 3*g. Let m be (2/((-8)/37900))/g. Suppose 0 = -5*d + m - 2610. Is d a prime number?", "a": "True" }, { "q": "Suppose 0 = -3*j + 17 - 8. Let c(i) = 3*i + 13 + 33*i**3 - 17 - 3*i. Is c(j) a prime number?", "a": "True" }, { "q": "Is ((-15)/((-540)/132))/((-1)/(-37959)) a prime number?", "a": "False" }, { "q": "Let q(c) = -54*c**2 - 26*c + 21. Let y be q(11). Let a = 9657 + y. Is a composite?", "a": "True" }, { "q": "Let c = 81 + -78. Is (c - (9 - 8)) + (0 - -4851) a prime number?", "a": "False" }, { "q": "Suppose -5*u = 3*g + 29, -2*g + 4 + 2 = -3*u. Let b = -18 - u. Is 1/((-2)/457*7/b) a prime number?", "a": "True" }, { "q": "Is ((-24422576)/240)/((-6)/10) - (-4)/(-18) a prime number?", "a": "False" }, { "q": "Let f = -498446 - -794863. Is f a composite number?", "a": "True" }, { "q": "Let q(t) = 2*t**3 + t**2 - 4*t - 6. Let d be q(-8). Let n = d - -1401. Suppose -3*w + n + 106 = 0. Is w a prime number?", "a": "True" }, { "q": "Suppose -16911 + 429555 = 34*r - 129214. Is r a composite number?", "a": "False" }, { "q": "Is 114801/3 + 19/(-3) + 1/3 a composite number?", "a": "False" }, { "q": "Let q be 2441/3 + 8/(-12). Let b be 6/(-2) - (-2 - q). Suppose 2 + 4 = -3*x, -4*x = 4*z - b. Is z prime?", "a": "False" }, { "q": "Suppose 0 = -w + 5986 - 838. Let h = w + -3233. Is h a prime number?", "a": "False" }, { "q": "Suppose -5*q + 12389 = -4591. Suppose -m - 3*l = -1678, -q = -3*m + m + 2*l. Is m a prime number?", "a": "True" }, { "q": "Is 2/8 + -42*(-428)/32*149 a composite number?", "a": "False" }, { "q": "Let f(o) = 191 - 125 + 11*o - 5*o**2 - 93 - 2*o**3. Is f(-14) a prime number?", "a": "True" }, { "q": "Let h(j) = -32*j**3 + 12*j**2 + 38*j + 10. Is h(-4) a prime number?", "a": "False" }, { "q": "Let s be (-414)/(-108) - 2/(-12). Let p(h) = -2*h**3 - 2*h - s*h**2 + 3*h - 9*h - 3. Is p(-5) prime?", "a": "False" }, { "q": "Suppose 17*z - 1244073 - 1157462 = -755068. Is z a prime number?", "a": "True" }, { "q": "Let m = -34 - -119. Suppose -m = 6*q - q. Let u = q - -86. Is u composite?", "a": "True" }, { "q": "Let f = -6 + 10. Suppose 3*i + 0*q = -3*q + 6, -3*i + 34 = -f*q. Is 2*-2517*(-1)/i a prime number?", "a": "True" }, { "q": "Suppose 87*n - 520240 - 1099231 = 200656. Is n prime?", "a": "True" }, { "q": "Let a = 2946 + -4542. Let f = a - -5383. Is f prime?", "a": "False" }, { "q": "Let k(b) = -3748*b - 97. Is k(-11) prime?", "a": "True" }, { "q": "Suppose 14789 + 487 = 6*f. Suppose -f = -3*p + 3175. Is p a prime number?", "a": "True" }, { "q": "Let l = -41 + 43. Suppose 0 = b + 1 + l, -5*b - 15 = d. Is -2 - -392 - (d - -4) a prime number?", "a": "False" }, { "q": "Let w(q) = -8203*q - 222. Is w(-7) a composite number?", "a": "True" }, { "q": "Let r(l) = -l**2 - 9*l - 16. Let o be r(-6). Suppose 4*q + 3*u + 368 = 0, 3*q - u = 5*q + 182. Is (1*q)/(0 - 1/o) a composite number?", "a": "True" }, { "q": "Let s(u) = -336*u - 39. Let d be s(-6). Let p = d - -2408. Is p a composite number?", "a": "True" }, { "q": "Let n(f) = 160*f**2 - 9*f - 8. Let b be n(10). Suppose 22*g - 33312 - b = 0. Is g a composite number?", "a": "False" }, { "q": "Let d be (-2)/1 + (22/1 - 0). Is 955*(12/3)/d composite?", "a": "False" }, { "q": "Suppose -14 + 2 = -3*k. Suppose -h + 7767 = -k*h. Let g = h + 3950. Is g prime?", "a": "True" }, { "q": "Is (-1161108)/(-44) + 42/231 a composite number?", "a": "True" }, { "q": "Let r(b) = b**3 + 2*b**2 + 2*b + 1. Let i be r(-2). Let c be -4 + 1 - i/((-9)/453). Let v = c + 767. Is v a composite number?", "a": "False" }, { "q": "Suppose -91*t + 754010 = -81*t. Is t a prime number?", "a": "True" }, { "q": "Suppose -500140 + 272821 = -21*o + 280230. Is o a prime number?", "a": "True" }, { "q": "Suppose 29*t + 2067329 = 6792792. Is t prime?", "a": "True" }, { "q": "Let o = 65094 + 24091. Is o composite?", "a": "True" }, { "q": "Is -4 - (1/(-1)*234524 - 1) a prime number?", "a": "False" }, { "q": "Let p(x) = -4687*x - 659. Is p(-6) a prime number?", "a": "False" }, { "q": "Let r(o) = -34*o**2 - 8*o - 1. Let p(w) = 67*w**2 + 17*w + 2. Let n(f) = -2*p(f) - 5*r(f). Suppose -3*g = i - 12, -g = 2*i + 4*g - 19. Is n(i) a prime number?", "a": "True" }, { "q": "Suppose -5*a + 0*a = -25. Suppose 0 = -a*p + 2*p - 5*t - 2291, -3*p + 4*t - 2336 = 0. Let y = -363 - p. Is y composite?", "a": "False" }, { "q": "Let v(j) = j**3 + 8*j**2 + 11*j - 8. Let h be v(7). Let i be (-5)/20 - (-453)/4. Let k = h - i. Is k composite?", "a": "False" }, { "q": "Let m be (0 - 0) + 887*(-2 + 3). Suppose 3*a + 3613 = 4*h, -h - 2*a = -6*a - m. Is h prime?", "a": "True" }, { "q": "Let m(r) = 186*r**3 + 6*r**2 - 39*r - 7. Is m(6) a prime number?", "a": "True" }, { "q": "Suppose -17*c = -103 + 18. Suppose a + 4996 = c*a. Is a composite?", "a": "False" }, { "q": "Let v(f) = 206*f + 6. Let i be v(-4). Is ((-9)/36*-6)/((-3)/i) a composite number?", "a": "False" }, { "q": "Suppose -g + 5221 = -4*s, -2*g + 5*s + 5378 = -5055. Is g composite?", "a": "False" }, { "q": "Let o = 160 - 157. Suppose 22430 = 7*q + o*q. Is q a prime number?", "a": "True" }, { "q": "Let v = 413 - -2388. Is v + (-5)/((-25)/(-20)) prime?", "a": "True" }, { "q": "Let g = 29503 - -150828. Is g a composite number?", "a": "False" }, { "q": "Let q = -26687 - -52858. Is q a prime number?", "a": "True" }, { "q": "Let z(d) = -d - 4*d + 9*d - 5*d - 14*d**2. Let u be z(-1). Let h(o) = -4*o - 13. Is h(u) a composite number?", "a": "True" }, { "q": "Let o be (-10)/3*198/(-110). Is 16/(-40)*(-105855)/o a composite number?", "a": "False" }, { "q": "Let c = 485 + -186. Let i = 628 - c. Is i a prime number?", "a": "False" }, { "q": "Let y = 60 - 58. Suppose -4*u + 2219 = k, -5*u - 2050 + 6476 = y*k. Is k a composite number?", "a": "False" }, { "q": "Suppose -12*z = 6*z - 328421 - 1033477. Is z a composite number?", "a": "True" }, { "q": "Let g(c) = -2*c**3 + 3*c**2 - 16*c - 21. Let t be g(-9). Suppose 0 = -2*s + 31450 - t. Is s prime?", "a": "True" }, { "q": "Let q be 0 + -3 + 0 + (0 - -28). Let l = q + -24. Is (1856 + l - -3) + 1 a composite number?", "a": "False" }, { "q": "Suppose 2*z - k + 5*k - 36 = 0, 5*k = -4*z + 57. Suppose 0 = 5*c + y - 1470, -4*c + z*y + 1157 = 5*y. Is c prime?", "a": "True" }, { "q": "Suppose 3*w = -5*b + 207, -b - 5*w + 37 = -0*w. Suppose b*p = 41*p + 3647. Is p prime?", "a": "False" }, { "q": "Let j = 12609 + 29500. Is j composite?", "a": "True" }, { "q": "Let h be ((-975)/(-9))/((-5 + 1)/12). Let z = 587 + h. Is z prime?", "a": "False" }, { "q": "Let o = -20 + 22. Let b(d) = o + 99*d + 6 + 54*d. Is b(3) composite?", "a": "False" }, { "q": "Let r(i) = i**3 - i**2 - 29*i - 10. Let m be r(12). Let t = m - 669. Is t a prime number?", "a": "True" }, { "q": "Suppose -65471 = -9*q + 124060. Is q prime?", "a": "True" }, { "q": "Let x(z) = 294*z - 583. Is x(46) a composite number?", "a": "False" }, { "q": "Let u = 2175 - 1470. Let z = -316 + u. Is z a composite number?", "a": "False" }, { "q": "Let p(l) = 159804*l**2 - 9*l + 4. Is p(1) a composite number?", "a": "False" }, { "q": "Suppose -5*r + 5*m + 151855 = 0, -15*r = -10*r - 3*m - 151845. Suppose 5*o - 29869 = r. Is o a prime number?", "a": "False" }, { "q": "Suppose 0 = 5*l - 31 - 4. Suppose -l*x + 352 = x. Suppose -2*s + x = -382. Is s a prime number?", "a": "False" }, { "q": "Suppose 3*g + 5*o = 2*o + 9, 0 = -4*g - 5*o + 10. Let h be 63/9 - (244 + 8). Is (h/g)/(-2 - -1) composite?", "a": "True" }, { "q": "Let u(b) = -5*b + 23. Let v be u(-11). Suppose -v*c + 2302 = -76*c. Is c prime?", "a": "True" }, { "q": "Suppose 13*l = t + 9*l - 88725, -2*t = -4*l - 177466. Is t prime?", "a": "True" }, { "q": "Suppose -6902*h = -6917*h + 506505. Is h a prime number?", "a": "True" }, { "q": "Is ((-495084)/16)/((-69)/92) prime?", "a": "True" }, { "q": "Suppose 0 = -r + 3*g + 12, 8*r - 3*r + 4*g + 16 = 0. Suppose r = -3*l + 4*y + 3223, -l + 1081 = -0*y + 2*y. Is l prime?", "a": "False" }, { "q": "Let q = -13472 + 22077. Is q a composite number?", "a": "True" }, { "q": "Let s be 13/(-65)*-1*15. Suppose 5*g - 5761 = -4*f, 1082 = 5*f + s*g - 6116. Is f prime?", "a": "True" }, { "q": "Suppose 89*q = -7*q + 1036828 + 2349956. Is q composite?", "a": "False" }, { "q": "Suppose -5*v = -7*v - l + 7, -3*l = 2*v - 9. Is -7311*(2 - 6 - (-11)/v) prime?", "a": "True" }, { "q": "Suppose 27 = -b + 101. Suppose -i + 3*j = -0*i - 37, 2*i - b = 4*j. Suppose -15*f + 16*f = i. Is f a composite number?", "a": "False" }, { "q": "Is -6763*(5 - 36) - (5 - 11) a composite number?", "a": "False" }, { "q": "Suppose 0 = 23*v - 15*v + 1688. Let w = 296 + v. Is w composite?", "a": "True" }, { "q": "Suppose 4*m - 468 = 1944. Suppose -166 = -3*r - 4*t - m, -3*r - t - 422 = 0. Let y = -82 - r. Is y a composite number?", "a": "True" }, { "q": "Let b(z) = z**3 + 10*z**2 + 7. Let v be b(-10). Let u(t) = t**3 - 8*t**2 + 12*t - 15. Let l be u(v). Suppose -l*f = -15*f - 335. Is f prime?", "a": "True" }, { "q": "Let p = -200938 + 300259. Is p a prime number?", "a": "False" }, { "q": "Let v be (0/(-2))/(-2 + (-2)/(-2)). Suppose v = 4*p + 112 - 1284. Is p prime?", "a": "True" }, { "q": "Suppose 18*t - 30 = 13*t. Suppose 21 = t*c - 27. Is (c/(-24))/(2656/2658 - 1) prime?", "a": "True" }, { "q": "Let s(c) be the first derivative of c**4/4 + 13*c**3/3 + c**2/2 + 27*c + 53. Suppose a + 2*a + 36 = 0. Is s(a) prime?", "a": "False" }, { "q": "Let h(i) = 26*i + 14. Let a be h(12). Let r(o) = -o - 6. Let b be r(-6). Suppose 2*u = -b*u - 4*k + a, u = k + 160. Is u composite?", "a": "True" }, { "q": "Suppose 4*w - 5*w = -3*v - 178498, -w + 5*v = -178504. Is w a prime number?", "a": "True" }, { "q": "Suppose -5*n = -4*f - f + 15, -5*f = 3*n + 33. Let t be (-1 + 28/12)*n. Is 1545 + 1/(-2 - 12/t) a prime number?", "a": "True" }, { "q": "Suppose 0 = 5*j + 3306 - 19051. Suppose -2*p + 4*b + 2106 = 0, 0 = 3*p - 0*b - b - j. Is p a composite number?", "a": "False" }, { "q": "Let d(v) = 2*v**3 - 29*v**2 - 14*v - 12. Let f be d(15). Is (-6172)/(1*(-5 + f)) a prime number?", "a": "False" }, { "q": "Suppose 3*w - 2474 = 10906. Let t = w + -963. Is t composite?", "a": "True" }, { "q": "Let s be (6 - 175/30)*6. Is (-132 - 7)/(s/(-13)) a prime number?", "a": "False" }, { "q": "Let j(p) = 9132*p**2 - 22*p - 49. Is j(-2) composite?", "a": "False" }, { "q": "Let p = 1749 - 1029. Suppose p = 2*q - 406. Is q a composite number?", "a": "False" }, { "q": "Let v(h) = 10*h**2 + 10*h - 13. Let r be (8/(-16))/((-2)/(-44)). Is v(r) a composite number?", "a": "False" }, { "q": "Suppose -2*z = 4*b - 42, z - 29 = -4*b - 10. Suppose z*o = 17*o + 16854. Is o prime?", "a": "False" }, { "q": "Suppose -28*h - 4 = -24*h. Is 4017 - (8 - 4) - (-4)/h a composite number?", "a": "True" }, { "q": "Suppose -a = -5*c + 3330, 4*a + 627 = 4*c - 2021. Is c prime?", "a": "False" }, { "q": "Suppose -54 + 74 = 5*k. Suppose k*p - 14635 = -p. Is p prime?", "a": "True" }, { "q": "Let t = -14 - -18. Suppose 4*k = -t*v - v + 2959, -3*k - 1770 = -3*v. Is v composite?", "a": "True" }, { "q": "Suppose -l = 4*l - 30. Let h(x) = -x + 8. Let n be h(l). Suppose 0 = -3*y - 4*p + 1252 + 1183, n*y - 1616 = p. Is y prime?", "a": "True" }, { "q": "Let j be -10*2*3/(-12). Suppose 0 = -3*u - 4*z - z - 5721, 3*z + 9535 = -j*u. Let t = -1168 - u. Is t prime?", "a": "True" }, { "q": "Let j(r) be the third derivative of 1/20*r**5 + 1/4*r**4 - 1/2*r**3 + 0*r + 0 + 6*r**2. Is j(-10) a prime number?", "a": "False" }, { "q": "Suppose -6 = -2*p - 3*s - s, -4*s + 16 = 4*p. Suppose 25225 = p*k - 12820. Is k prime?", "a": "False" }, { "q": "Let l(w) = -3*w**3 + 4*w**2 - w + 1. Let x be l(2). Is (-18)/(-12)*(-1758)/x composite?", "a": "False" }, { "q": "Let u be (3/(-12)*2)/((-3)/(-48)). Is (-8)/64 - 5337/u composite?", "a": "True" }, { "q": "Let y(a) = a**3 + 10*a**2 + 16*a - 18. Let h be y(-8). Let p(j) = 3*j**2 + 24*j + 22. Is p(h) a composite number?", "a": "True" }, { "q": "Let x be 63/(-36) + 4/(-16). Is (23 + -21)*(-4867)/x composite?", "a": "True" }, { "q": "Let d = 9047 - -11006. Is d prime?", "a": "False" }, { "q": "Suppose 7 - 9 = -2*t, -25624 = -3*n + 5*t. Is n prime?", "a": "True" }, { "q": "Let z(m) = -303*m + 22. Let h be (-6)/18 - 14*(-1)/(-3). Is z(h) a prime number?", "a": "False" }, { "q": "Let s(v) be the first derivative of 5*v**3/3 + 8*v**2 + 76*v - 72. Is s(15) a prime number?", "a": "False" }, { "q": "Is 14 + 106931/55 + 2 + (-6)/5 composite?", "a": "True" }, { "q": "Suppose 0 = -83*q + 911681 + 441302. Is q prime?", "a": "True" }, { "q": "Suppose 0 = 30*c + 23*c + 9*c - 1489178. Is c prime?", "a": "True" }, { "q": "Suppose 6*z = t + 2*z, 2*t - 3*z - 20 = 0. Is ((-3)/(-6) - 110568/t)/(-2) prime?", "a": "False" }, { "q": "Suppose -v - v + 12 = x, 5*v = 25. Suppose -3*r - m + 9544 = 0, 0*r = -4*r - x*m + 12726. Is r a composite number?", "a": "False" }, { "q": "Let g(q) = -2*q**3 - q**2 + 38. Let d be g(0). Suppose -44 = 5*a - 9. Let k = d + a. Is k a prime number?", "a": "True" }, { "q": "Let y = -7 + 11. Suppose -5*r - 2395 = -5*a, 0 = -5*a - 0*a + y*r + 2398. Let k = a + -277. Is k prime?", "a": "False" }, { "q": "Suppose 0 = -2*k - k + 2607. Suppose 2*r - k = -5*d, d + 5 = -0*d. Suppose 0 = -3*h + 3*x + r, -x = 4*x. Is h prime?", "a": "True" }, { "q": "Suppose -2514 = 4*o - 13086. Suppose 3*t - o = -u + 8182, 0 = 3*u - 12. Is t a prime number?", "a": "True" }, { "q": "Let m(s) = -62*s**3 + 4*s + 5. Let x be ((-1)/2)/(15/60). Let v be m(x). Let w = 786 - v. Is w composite?", "a": "False" }, { "q": "Is ((-6)/(-30))/(9/(-20714715)*-7) prime?", "a": "True" }, { "q": "Suppose -5*w - 3*j = -195779, -20*w + 16*w = -4*j - 156636. Is w composite?", "a": "False" }, { "q": "Let p = 6711 + 2878. Is p prime?", "a": "False" }, { "q": "Suppose 2*s = -x - 1, -3*s + x = -s - 1. Suppose s*q = 3*q + 27. Is 2/q - (-2345)/63 composite?", "a": "False" }, { "q": "Let h = 18 + -22. Let u be 0*(h - 28/(-8)). Suppose -w + u*w + 5*p = -98, 0 = -w + 2*p + 107. Is w prime?", "a": "True" }, { "q": "Let c be (-1)/(5/(-2))*-5 - 8. Let g(o) = -261*o - 59. Is g(c) a composite number?", "a": "False" }, { "q": "Let l = 29 + -16. Suppose 17*w - l*w - 36 = 0. Suppose 1169 + 730 = w*j. Is j composite?", "a": "False" }, { "q": "Let k(p) = -p**3 - 11*p**2 - 2*p - 22. Suppose 2*r + 3 + 15 = -c, 4*r - 2*c = -52. Let h be k(r). Suppose h*y - 46 = -y. Is y prime?", "a": "False" }, { "q": "Let r be (21/(-28))/(2/4)*2. Let j(a) = 153*a**2 - 6*a - 24. Is j(r) composite?", "a": "True" }, { "q": "Let g = 8489 + 16197. Is g a composite number?", "a": "True" }, { "q": "Let r = -147 - -123. Is ((-1136)/r)/(-3 + (-303)/(-99)) a prime number?", "a": "False" }, { "q": "Suppose -4*w = 3*m - 8*m - 102496, 0 = w - 3*m - 25624. Suppose -h - w = -4*d, -h + 1746 = d - 4665. Is d a composite number?", "a": "True" }, { "q": "Suppose 5*m + 5*b = 140, -25 = -3*m + 2*m + 2*b. Is (24593/(-1))/(-28 + m) a prime number?", "a": "True" }, { "q": "Suppose 2*x - 21 = -5*n + 8*n, 4*n = 4*x - 24. Let c(w) = -3*w**3 + 3*w**2 + 7*w - 50. Is c(n) a prime number?", "a": "False" }, { "q": "Suppose -4*z + 3*k = -1425, -2*z + 4*k + 346 = -354. Suppose -3*r = -x + 3*x - 747, -3*r - z = -x. Suppose 2*b - 754 = -2*j, -4*j - x = -5*j - 5*b. Is j prime?", "a": "True" }, { "q": "Suppose 13*m + 24 - 102 = 0. Suppose -p = m*p - 3367. Is p a composite number?", "a": "True" }, { "q": "Suppose 21*v + 108 = 17*v. Let y = 30 + v. Is (y + (-234)/12)*116/(-6) a prime number?", "a": "False" }, { "q": "Suppose 2*o - 30 - 2 = -m, 5*m - o = 193. Suppose 36*d + 4618 = m*d. Is d a composite number?", "a": "False" }, { "q": "Suppose 685*s + 1544515 = 692*s. Is s a prime number?", "a": "False" }, { "q": "Suppose -l = 4, 2*l = 17*i - 14*i - 46265. Is i composite?", "a": "True" }, { "q": "Is (75 - 74 - (-5)/(-4)) + 57789/4 composite?", "a": "False" }, { "q": "Let m(k) = 7*k**2 - 4*k + 1. Let d be m(2). Is ((-10205)/7)/(-5) - 12/d composite?", "a": "True" }, { "q": "Let n be 15/(75/(-2))*(-10)/2. Let k(q) = -121*q + 6. Let u be k(-8). Suppose 0*z + 5*z - u = -n*h, 1461 = 3*h + z. Is h a prime number?", "a": "True" }, { "q": "Let p(v) = -v**2 - 4*v + 7. Let t be p(-3). Suppose -3*k + t = -k. Is ((-753)/(-3))/(k - 4) composite?", "a": "False" }, { "q": "Suppose -77693 = 5*u - 7*u + 5*s, -5*u + 4*s + 194207 = 0. Is u composite?", "a": "False" }, { "q": "Suppose 11508 = 4*x - 4*w, 5*x + 302 = -5*w + 14657. Is (-19 - x)/((-2)/2) a composite number?", "a": "True" }, { "q": "Suppose -2*d = d - 6765. Let f be (-2 + 0)*(d/(-10) - -6). Suppose 6*v = 5*v + f. Is v a prime number?", "a": "True" }, { "q": "Let i(v) = 434*v - 92. Let k be i(-19). Let d = 11709 + k. Is d prime?", "a": "True" }, { "q": "Let t(v) = v**2 - 14*v + 49. Let x be t(7). Is (4 - x)/(-4) - -1568 prime?", "a": "True" }, { "q": "Let p(i) = 4*i**2 - 3*i - 5. Let n be p(-5). Suppose 2*f - 94 = n. Let y = f - 49. Is y a composite number?", "a": "False" }, { "q": "Let p(d) = -d**3 - 10*d**2 + 13*d + 10. Let g be p(-11). Let a(c) = 30*c**2 - 11*c - 39. Is a(g) composite?", "a": "True" }, { "q": "Let y = 30 - 27. Suppose 2*w + 1802 = 13130. Suppose w = y*r + 5*n, 2*r + n - 2393 - 1376 = 0. Is r prime?", "a": "False" }, { "q": "Suppose -4*w = 2*p - 43142, -3*p - 15*w + 64703 = -11*w. Is p a composite number?", "a": "True" }, { "q": "Suppose 25*u + 27*u - 49*u - 53202 = 0. Is u a prime number?", "a": "False" }, { "q": "Suppose 673*q + 343815 = 688*q. Is q a composite number?", "a": "False" }, { "q": "Let m(a) = 4*a**3 + 274*a**2 - 9*a + 22. Is m(21) a prime number?", "a": "False" }, { "q": "Let i be (33/22)/((-1)/2) + 67. Is 8/i - (-1101)/24 a composite number?", "a": "True" }, { "q": "Let g(c) = 24*c**2 + 20*c + 2. Let d be g(-9). Suppose 3*f - 6571 = d. Is f composite?", "a": "True" }, { "q": "Let p = -7 + -8. Let t be (-6765)/p - (1 - 2). Let g = 89 + t. Is g a prime number?", "a": "True" }, { "q": "Suppose -8490 + 68045 = 2*x - 3451. Is x a composite number?", "a": "True" }, { "q": "Suppose 109791 = 5*i + l, 3 = -l - 1. Suppose 2*u - 3*h - 8795 = 0, 0 = -7*u + 2*u - 2*h + i. Is u prime?", "a": "False" }, { "q": "Suppose -l = -4*m - 12, 3*l - 2*m = m + 45. Suppose 4*i - 16 + l = 0. Let t(v) = -3*v + 139. Is t(i) a composite number?", "a": "False" }, { "q": "Suppose -105*q - 3*f - 26023 = -110*q, -5*q = -4*f - 26019. Is q a prime number?", "a": "False" }, { "q": "Suppose 3*d + 6 = 0, -4*d = -5*o + 2*o + 12953. Suppose 2*u = -4*m + 1104 + 2348, -2*u = 5*m - o. Is m prime?", "a": "True" }, { "q": "Let t = -3245 - -5752. Let v = t - 1320. Is v a prime number?", "a": "True" }, { "q": "Suppose -5*z = -3*s + 24, z = -0*s - s. Is z/21 - ((-23704)/14 + 0) prime?", "a": "True" }, { "q": "Let v(f) = 936*f + 1. Let u be v(-1). Let c = u - -1973. Is -3*(c/(-9) + -3) a composite number?", "a": "True" }, { "q": "Let s be ((-7 - -4)/1 - -1) + 28. Is (s/(-6))/((-8)/264) a composite number?", "a": "True" }, { "q": "Let m(l) = 21*l**2 - 9*l + 29. Suppose -2*b + 13 = 4*o - 3, -o + 31 = 5*b. Is m(b) prime?", "a": "False" }, { "q": "Let x be 1*-4 + -3 + 217. Let v be (x/(-12)*(-4)/5)/2. Suppose 2*g - v*g = -2035. Is g a composite number?", "a": "True" }, { "q": "Suppose 5*m - 316365 = -5*c, -429*m + 426*m = 2*c - 126542. Is c a prime number?", "a": "True" }, { "q": "Suppose -5*m - 3*y - 21 = 0, 3*m + 18 = -3*y + 3. Is (1755 + -3 - m) + (-2)/(-1) prime?", "a": "False" }, { "q": "Suppose -3*a = 7*j - 6*j - 263335, 11*j + 175580 = 2*a. Is a prime?", "a": "False" }, { "q": "Suppose 6*c = 4*c + 5*c. Let d be (c + 0)*3/9. Suppose 7*y - 2*y - 6295 = d. Is y a prime number?", "a": "True" }, { "q": "Let l = 4223 + -4219. Let y(g) = 192*g**2. Let a be y(-5). Suppose z + a = 5*j, l = -z - 1. Is j a composite number?", "a": "True" }, { "q": "Is 2/5*(-929780)/(-8) prime?", "a": "True" }, { "q": "Let p(i) = -i**3 + i**2 + 12*i - 5. Let a be p(3). Suppose -a*u + 8688 + 2713 = 0. Is u prime?", "a": "True" }, { "q": "Is (20 + 1881/18)/(2 - 793/398) a prime number?", "a": "False" }, { "q": "Is -2*(-3 - (553990/52 + 2/(-13))) a composite number?", "a": "False" }, { "q": "Let v(p) = 187 + 604*p - 302*p - 299*p. Let d = 7 + -7. Is v(d) a composite number?", "a": "True" }, { "q": "Let k(h) = 2934*h + 88. Let i(o) = 1467*o + 44. Let g(u) = 7*i(u) - 3*k(u). Is g(7) a composite number?", "a": "False" }, { "q": "Let g(p) = -73*p**3 + 7*p**2 + 9*p - 13. Let a be g(4). Let x = -2778 - a. Is x a composite number?", "a": "False" }, { "q": "Let w(h) be the first derivative of 2*h**3 + 11*h**2/2 + 2*h + 15. Suppose 35 + 5 = -5*j. Is w(j) a prime number?", "a": "False" }, { "q": "Suppose 0 = -3*o + 4*b, 2*o - o + 2*b = 0. Let k(m) = m**2 + 4*m + 7. Let t be k(o). Is (53/1)/(t + -6) a prime number?", "a": "True" }, { "q": "Suppose 4*w - 4*q = -572, -w + 2*w - 3*q + 145 = 0. Let u = w - -368. Suppose 2*z = u + 42. Is z prime?", "a": "False" }, { "q": "Let b(h) = -1872*h + 5. Let f be b(-2). Let x = f - -4398. Is x composite?", "a": "False" }, { "q": "Suppose -29*p + 32*p + 2*f - 270185 = 0, -5*p = 3*f - 450310. Is p composite?", "a": "True" }, { "q": "Let j be (-55)/((2 + -4)/(-142)). Let l = j - -8596. Is l prime?", "a": "True" }, { "q": "Suppose q = 3*s + 5*q - 41531, 2*q = -s + 13845. Is s a prime number?", "a": "True" }, { "q": "Suppose -3*t + 15719 - 1889 = 0. Let d = t - 2368. Let l = -983 + d. Is l composite?", "a": "False" }, { "q": "Let w(h) = 3 + 915*h + 1684*h - 404*h. Is w(2) a composite number?", "a": "True" }, { "q": "Let l be -1 - 11 - (0 + -1 + 1). Let c(f) = -223*f + 45. Is c(l) a prime number?", "a": "False" }, { "q": "Suppose -35 - 20 = -11*x. Suppose 20 = -x*k, -17546 = 3*c - 6*c - 4*k. Is c a composite number?", "a": "True" }, { "q": "Suppose 154*l - 807 = 157*l. Let w = l + 454. Is w a composite number?", "a": "True" }, { "q": "Let a = 25075 + -16574. Is a prime?", "a": "True" }, { "q": "Let v(l) be the first derivative of l**7/840 - l**5/15 + 11*l**4/24 - 3*l**3 - 1. Let r(d) be the third derivative of v(d). Is r(6) prime?", "a": "True" }, { "q": "Suppose -12*s = 23*s - 251230 - 1547665. Is s a composite number?", "a": "True" }, { "q": "Suppose 50*r = 22*r + 5207357 + 3647895. Is r prime?", "a": "True" }, { "q": "Is 535*8916/120 - 4/((-8)/(-3)) a composite number?", "a": "False" }, { "q": "Let b(y) = 19072*y + 159. Is b(5) a prime number?", "a": "False" }, { "q": "Suppose 0 = -32*y + 4305002 - 816906. Is y a prime number?", "a": "False" }, { "q": "Let v(s) = s**3 - 10*s**2 + 9. Let f be v(10). Let n(i) = i**3 - 12*i**2 + 6*i + 2. Let p be n(f). Is (p + (4 - 2))/(-1) composite?", "a": "True" }, { "q": "Is (2 - (-1046718)/12)*(-7 - -9) prime?", "a": "True" }, { "q": "Let p = -219 + 225. Let a(v) = 9*v**3 - 8*v**2 + 2*v - 19. Is a(p) a composite number?", "a": "True" }, { "q": "Suppose 34*a - 1506299 = 30*a - 37*a. Is a composite?", "a": "False" }, { "q": "Suppose 0 = -2*l - l - r - 89, 61 = -2*l - r. Is ((-40)/l)/5 - 30432/(-14) a prime number?", "a": "False" }, { "q": "Suppose 3646 - 69590 = -4*z + 4884. Is z composite?", "a": "False" }, { "q": "Let u = -7 + 12. Suppose 21 + 4 = -u*v. Is ((40/12)/v)/(2/(-2019)) prime?", "a": "True" }, { "q": "Suppose -4*b + 308 = -5460. Let d = -823 + b. Is d a composite number?", "a": "False" }, { "q": "Let f = -10 + 10. Suppose 10*v - 8 - 22 = 0. Suppose f = 5*a + 2*t - 3241, v*a - t - 1300 = a. Is a prime?", "a": "False" }, { "q": "Suppose -2*x - 3*i - 3 = -3*x, -5*x - 5*i = 5. Let u(m) = -8*m - 92. Let o be u(-12). Is o/(2 + x) + (-1257)/(-1) prime?", "a": "True" }, { "q": "Suppose 0 = 5*p - 3*l - 1076201, -2*p + 430472 = 73*l - 70*l. Is p composite?", "a": "False" }, { "q": "Let w = 3769 + 14712. Is w composite?", "a": "False" }, { "q": "Let g be 1*16/(-4) - -9. Suppose b = w - 2250, g*w - 2375 = -b + 8875. Let x = w - 1243. Is x composite?", "a": "True" }, { "q": "Is (-98)/(-26 - -12) - -67096 a prime number?", "a": "True" }, { "q": "Suppose 2*a = -6*a. Suppose -q + 8*q - 49 = a. Let i(f) = -f**3 + 10*f**2 - 5*f + 1. Is i(q) a composite number?", "a": "False" }, { "q": "Suppose -v - 9*v = -185160. Suppose -13*o + v = -o. Is o composite?", "a": "False" }, { "q": "Let n(f) = 728*f - 33. Let v be n(5). Suppose -248 + v = d. Is d a composite number?", "a": "False" }, { "q": "Let g = -4404 - -6532. Let n = g - 901. Is n prime?", "a": "False" }, { "q": "Let c(o) = -23*o**3 - 3*o**2 + 7*o + 16. Let a be c(5). Let b = a - -4184. Is b prime?", "a": "False" }, { "q": "Let t(s) = -24*s**2 - 3*s - 6. Let n be t(4). Let w = 697 + n. Suppose -6*g + w = -g. Is g composite?", "a": "False" }, { "q": "Is (8/(-24))/(3/(-54)) - -175397 a prime number?", "a": "True" }, { "q": "Let t(o) = -36*o - 20. Let v(u) = -u - 12. Let m be v(-9). Let p(s) = -37*s - 21. Let w(h) = m*p(h) + 2*t(h). Is w(8) a prime number?", "a": "False" }, { "q": "Suppose -5*c = 25, -98*m = -100*m - 4*c + 37878. Is m a composite number?", "a": "True" }, { "q": "Suppose 7036 = -3*c + 35488. Is (c/(-6))/((8/6)/(-2)) prime?", "a": "True" }, { "q": "Let u(w) be the third derivative of 13*w**4/4 - 85*w**3/6 + w**2 - 6. Is u(26) a prime number?", "a": "False" }, { "q": "Let t(c) = 3*c**3 - 6*c**2 - 7*c + 5. Let w be t(5). Let o be (w/6 - 1)*34. Suppose -5*g = -434 - o. Is g a composite number?", "a": "True" }, { "q": "Let d(q) = -3 - 3*q**3 + 2 + 9*q**2 + 2*q**3. Let u(b) = b**3 + 13*b**2 + 40*b + 4. Let i be u(-8). Is d(i) prime?", "a": "True" }, { "q": "Let w(v) = 190*v**2 - 5*v - 36. Let x be w(5). Suppose 6*l + x = 9*l. Is l composite?", "a": "True" }, { "q": "Let l = 18 - 40. Let m = l - -27. Suppose m*o = -4*z + 173, -3*z - z + 4*o = -128. Is z composite?", "a": "False" }, { "q": "Let i = -162 + 176. Suppose -i*c + 44300 = -13366. Is c prime?", "a": "False" }, { "q": "Let p be 165/4 + 9/12. Suppose -p*z + 47*z + 10 = 0. Is ((-1)/z)/(3334/(-556) + 6) a prime number?", "a": "True" }, { "q": "Suppose -f + 29 = w + 4*f, 2*f + 1 = w. Let l be 13 - w - (-4)/(-2). Is l/7 + (-5340)/(-28) a prime number?", "a": "True" }, { "q": "Suppose -150*f = -113*f - 1101527. Is f composite?", "a": "True" }, { "q": "Suppose -210 = -11*m - 78. Let x(h) = 224*h - 31. Is x(m) a composite number?", "a": "False" }, { "q": "Suppose 500145 = 7*s - 65504. Is s prime?", "a": "False" }, { "q": "Suppose -6*q - 5*f = -3*q - 78937, -78931 = -3*q - 2*f. Is q a prime number?", "a": "True" }, { "q": "Let m(b) = 4*b**3 - 16*b**2 + 15*b + 19. Let u be m(11). Suppose 0 = -5*p + u + 4983. Is p a prime number?", "a": "False" }, { "q": "Let q = 142221 - 26216. Is q prime?", "a": "False" }, { "q": "Let d(s) = s + 23*s**3 - 2*s**2 - 22*s**3 + 4 - s**2. Let f be d(3). Suppose 12*l - 745 = f*l. Is l composite?", "a": "False" }, { "q": "Is 15*6718 + 42/42 composite?", "a": "True" }, { "q": "Suppose 5*f - 25646 = o, 17820 - 2431 = 3*f - 2*o. Is f composite?", "a": "True" }, { "q": "Let t(v) = 12*v + 10*v + 7*v**2 + 14*v + 2*v - 26. Is t(13) prime?", "a": "False" }, { "q": "Let p be (-150)/(-6)*(0 + 1)/5. Suppose -84272 = p*x - 21*x. Is x composite?", "a": "True" }, { "q": "Suppose 7 = -4*y + 3. Let o(n) = -1395*n + 4. Is o(y) a prime number?", "a": "True" }, { "q": "Suppose 2*p + 169 = 2295. Suppose -5*c - p = -b, 2*b - 6*c - 2146 = -c. Suppose -o + 904 = -b. Is o composite?", "a": "False" }, { "q": "Let v(i) = 457*i**2 + 203*i - 13. Is v(-8) prime?", "a": "True" }, { "q": "Let x = -548 - -159. Is (3*-34*x/6)/1 composite?", "a": "True" }, { "q": "Suppose 139503 = 3*q - v, -92995 = -2*q + 77*v - 74*v. Is q prime?", "a": "False" }, { "q": "Let c(q) = 75*q**2 + 4*q + 7. Let m be c(9). Let n be m/(-2) - (-7 - -6). Let t = n - -4647. Is t a composite number?", "a": "True" }, { "q": "Let l = -14236 - -23921. Suppose 0 = -7*i + l - 2076. Is i composite?", "a": "False" }, { "q": "Is (-4)/2*(-159069)/102 composite?", "a": "False" }, { "q": "Suppose 24*m = -3*m + 3570615. Is m composite?", "a": "True" }, { "q": "Let s(r) = 6*r + 18. Let l be s(-10). Let n = -37 - l. Suppose -n*y + 0*y = -1615. Is y composite?", "a": "True" }, { "q": "Is 1/((-1)/(-16312)) + (-324 - -331) a composite number?", "a": "False" }, { "q": "Let b(z) = 3*z**3 - 10*z**2 + 15*z - 13. Suppose 2*q = -4*v + 34, -2*v = -7*v + 5*q + 50. Is b(v) a composite number?", "a": "False" }, { "q": "Let y be 12381/33 + (-12)/66. Is (-2)/(-8) - y/12*-23 prime?", "a": "True" }, { "q": "Suppose q - o - 724 - 3412 = 0, 3*o - 16579 = -4*q. Is q a prime number?", "a": "False" }, { "q": "Let t(l) = 252*l**3 + 19*l**2 - 127*l + 17. Is t(5) prime?", "a": "True" }, { "q": "Let x(c) = -6*c - 10. Let t be x(-2). Suppose 0 = o - 2*o - t*o. Suppose -2*i = -4*r - 782, 2*i + 4*r - 898 + 92 = o. Is i a composite number?", "a": "False" }, { "q": "Let v(q) = -507*q**3 + 5*q**2 + 8*q + 9. Let n be v(-3). Suppose 3*x - n - 16156 = z, 29887 = 3*x + 5*z. Is x composite?", "a": "True" }, { "q": "Let j(t) = -t**3 + 17*t**2 - 11*t + 4. Suppose 0 = 5*h - 7*h + 12. Let l be 3 + 1*(1 + h) - 3. Is j(l) prime?", "a": "False" }, { "q": "Is (65864/(-8))/((-2)/10) composite?", "a": "True" }, { "q": "Suppose -4*g + 87896 = -4*b, 0 = 803*g - 800*g + 2*b - 65937. Is g prime?", "a": "True" }, { "q": "Suppose -55140 = -p + l, -p + 92*l - 94*l = -55125. Is p prime?", "a": "False" }, { "q": "Let u = 719263 - 300836. Is u a composite number?", "a": "False" }, { "q": "Let v be -3 + (-4 - (-3 - 0)/3). Is v/1 - (-61 - 2) a composite number?", "a": "True" }, { "q": "Let j(h) be the second derivative of 127*h**4/2 - h**3/3 + 9*h**2/2 - 39*h + 2. Is j(2) composite?", "a": "True" }, { "q": "Suppose 0 = -4*b + 3*b - 30. Is -3*4/20 - 45348/b a prime number?", "a": "True" }, { "q": "Let r(z) = -z**2 - 15*z + 75. Let h be r(-19). Let c(n) = 5294*n**2 - 3*n - 4. Is c(h) composite?", "a": "True" }, { "q": "Let w = 5086 + -243. Is w prime?", "a": "False" }, { "q": "Let b(g) = -g**3 - 4*g**2 - 2*g + 7. Let k be b(-3). Suppose k*p - 275 - 1 = 0. Is p a composite number?", "a": "True" }, { "q": "Let y(x) = -20*x**3 + 2*x**2 + 2*x + 1. Let p be y(-1). Suppose 0 = 5*d - 9 - p. Is (-4550)/(-15) + (-2)/d a composite number?", "a": "True" }, { "q": "Let h(r) = -r**3 - 4*r**2 + 5*r - 7. Let z be h(-5). Let g be (4 - z)*(-4 - -5). Let v(p) = p**3 - 9*p**2 - 9*p - 2. Is v(g) a prime number?", "a": "False" }, { "q": "Let i(q) = 5*q**2 - 13*q + 13. Let d(k) = 1. Let p(g) = g**2 - 2*g + 13. Let z(l) = -66*d(l) + 6*p(l). Let f(y) = 5*i(y) - 4*z(y). Is f(-13) a prime number?", "a": "False" }, { "q": "Suppose -2571158 - 413267 + 15489296 = 163*m. Is m a composite number?", "a": "False" }, { "q": "Suppose 8*g = -9*g + 588774 + 3042239. Is g a prime number?", "a": "True" }, { "q": "Let a(r) = 926*r**3 + 6*r**2 + 7*r - 64. Is a(5) a composite number?", "a": "True" }, { "q": "Let k be (75728/28)/2 + 8/(-28). Let w = 2509 - k. Is w composite?", "a": "True" }, { "q": "Let p be 0 - -4 - 110/(-22). Suppose -2*g = 3*g + 5, w - p = -3*g. Let v(b) = 87*b - 1. Is v(w) a prime number?", "a": "False" }, { "q": "Let n(o) = -o**3 - 3*o**2 + 5*o - 7. Let t(p) = p**3 - 3*p - 3. Let x be t(-2). Let m be n(x). Is m/12 - (-1203)/6 a prime number?", "a": "False" }, { "q": "Suppose 10184 = 5*q - 259966 - 78245. Is q a composite number?", "a": "True" }, { "q": "Let y(n) = 6*n + 21. Let s be y(-3). Is 2/s*(-563547)/(-74) a prime number?", "a": "True" }, { "q": "Is ((-11)/22*67)/((-27)/(-30) - 1) a composite number?", "a": "True" }, { "q": "Let i(b) = 1. Suppose k - 3*q = -3*k - 28, 2*k + 24 = 4*q. Let n(a) = -5*a + 11. Let w(v) = k*i(v) + n(v). Is w(-12) composite?", "a": "False" }, { "q": "Suppose 2*c - 3*t - 6028 = 733, c + 2*t = 3398. Suppose 0 = -8*y + y + c. Suppose f + y = 5*q, 2 = -f + 3. Is q a composite number?", "a": "False" }, { "q": "Let l(z) = -17*z - 38. Suppose 173 - 206 = 3*u. Is l(u) a composite number?", "a": "False" }, { "q": "Let r = -20016 + 28158. Let d be 7/(-49) - r/(-7). Suppose 0 = 4*l - 5391 + d. Is l a prime number?", "a": "False" }, { "q": "Suppose 4*z + g - 49602 = 0, 2*z + 3*g - 33 = 24763. Is z a composite number?", "a": "False" }, { "q": "Let h = 99036 + 23407. Is h composite?", "a": "False" }, { "q": "Suppose -5*o + 2*o = j - 4, -3*j = -2*o + 21. Is o*((-13610)/3)/(-10) a prime number?", "a": "True" }, { "q": "Suppose 4*s + 4*c - 184 = 0, -s + 5*c = 4*c - 52. Let k = s - 48. Is (-586)/(-8)*(-4 - (-8)/k) a composite number?", "a": "False" }, { "q": "Let k(u) = 354*u**3 + 8*u**2 - 2*u - 23. Is k(5) a composite number?", "a": "False" }, { "q": "Let t(j) = -j - 2. Let q be t(-4). Suppose 6324 = 4*a + 3*g, 3*g + 2*g - 3176 = -q*a. Suppose o + a = 7*o. Is o prime?", "a": "True" }, { "q": "Let q = 150117 - 72508. Is q a prime number?", "a": "False" }, { "q": "Suppose 0 = 6*v - 2*v - 580. Let i = 262 - v. Suppose i = 2*m - 545. Is m a prime number?", "a": "True" }, { "q": "Let d(q) = 540*q**3 + 2*q**2 + 7*q + 13. Is d(4) a composite number?", "a": "True" }, { "q": "Suppose -d + 5*v + 13 = 0, 7*v = 2*d + 3*v - 14. Is (2705/d - -4) + 12/9 a composite number?", "a": "False" }, { "q": "Let j(l) be the first derivative of -33*l**2 + 41*l + 46. Is j(-27) a composite number?", "a": "False" }, { "q": "Suppose -6*j = 14 - 74. Let c = 419 - j. Is c a prime number?", "a": "True" }, { "q": "Let p(t) = -418*t + 91. Is p(-27) a composite number?", "a": "True" }, { "q": "Suppose -19*s + 193 - 3 = 0. Is 2426*4/16*s composite?", "a": "True" }, { "q": "Suppose 0 = 3047*r - 3052*r + 400685. Is r composite?", "a": "True" }, { "q": "Let m(q) = -q**3 - 2*q**2 + 5*q + 4. Let f be m(-3). Is 2432 - (-1 + 6 + f) composite?", "a": "True" }, { "q": "Let y(g) = -g**3 - 6*g**2 - 5*g - 7. Let w be y(-5). Let c = w - -12. Suppose 2*x = -2*x + 3*q + 1766, c*q + 433 = x. Is x composite?", "a": "False" }, { "q": "Let s(d) = -4*d**2 - 8*d + 2. Let t be s(-4). Let y = t - -73. Is y prime?", "a": "True" }, { "q": "Let z be (-3 + (-35)/(-10))/(3/(-1614)). Let c = 1112 - z. Is c a prime number?", "a": "True" }, { "q": "Suppose -5*v - 198 - 7 = 0. Let o = 46 + v. Suppose 0 = -n - o*n + 3522. Is n composite?", "a": "False" }, { "q": "Let h(f) = -f**3 + 2*f**2 - 4*f + 3. Suppose -3*p = -4*y - 1, 0 = -4*p + 2*p - y + 8. Let v be h(p). Is 5452/14 + v/42 a prime number?", "a": "True" }, { "q": "Suppose 20*f + 44 = 9*f. Let n(v) = 7*v**2 + 13*v + 2. Is n(f) prime?", "a": "False" }, { "q": "Let v(a) = -a**3 + 12*a**2 + 14*a - 11. Let y be v(13). Let s(i) = 13*i + 62*i + 5*i + y - 13. Is s(6) composite?", "a": "True" }, { "q": "Is (-20)/(-110) + 3384829/77 a composite number?", "a": "True" }, { "q": "Let c(y) = -83*y**2 - 4*y - 37. Let u be c(7). Let m = u - -7283. Is m prime?", "a": "False" }, { "q": "Let k = 42793 + -25547. Is k composite?", "a": "True" }, { "q": "Let h be (-4 - 10)/(8/(-12)). Is 5433/h - (-2)/7 a prime number?", "a": "False" }, { "q": "Let u be 3 + (2 - -1482) - (-6)/(-3). Let x be (-32)/(-12)*u/6. Is ((-2)/6)/((-4)/x) composite?", "a": "True" }, { "q": "Suppose -46*k + 1292299 = -722688 + 730529. Is k prime?", "a": "False" }, { "q": "Suppose 4010 + 1893 = y + 3*s, -3*s = -6. Is y a prime number?", "a": "True" }, { "q": "Let r(q) = -79 + 10*q + 7*q - 287*q**2 + 292*q**2. Is r(23) a prime number?", "a": "True" }, { "q": "Let a(k) = 1649*k + 387. Is a(30) a composite number?", "a": "True" }, { "q": "Suppose -465 = 2*a - 459, -2*a = -2*c + 976. Is c prime?", "a": "False" }, { "q": "Let c be 1 - (-1 + 0 + -1). Suppose -c*q - 21 = -30. Suppose -q*l - 213 = -0*j - j, -217 = -j + 4*l. Is j prime?", "a": "False" }, { "q": "Let s be ((-9)/(-45))/(2/(-80)). Let n(v) = -26*v + 5 - 11*v + 28. Is n(s) composite?", "a": "True" }, { "q": "Let r(f) = -13923*f + 41. Is r(-4) composite?", "a": "False" }, { "q": "Suppose 116*r = 242*r - 14856282. Is r a prime number?", "a": "False" }, { "q": "Let k = 209982 - 81671. Is k a composite number?", "a": "False" }, { "q": "Let q(m) = 2*m - 27. Let c be q(14). Suppose 3*r = 5*i + 5*r + 1, -2*r - 6 = 0. Is (i/2)/(c/674) prime?", "a": "True" }, { "q": "Let l be 1/(-2)*-14 + (-6 - -3). Suppose 8 = -4*m - l*q, -2*q + 2 = 6*m - m. Suppose 5*d + m*b - 11659 = 0, d = -d + 2*b + 4672. Is d composite?", "a": "False" }, { "q": "Let a(y) be the first derivative of 7*y**6/180 + y**5/60 + 7*y**4/24 + 10*y**3/3 + 14. Let p(r) be the third derivative of a(r). Is p(-3) prime?", "a": "True" }, { "q": "Let s = -18 + 20. Suppose -4*o = -3*b + 14, 2*o + 4 = b - s. Is ((-3)/9)/(o/726) composite?", "a": "True" }, { "q": "Let q = 131 - 131. Suppose q = -2*a + 1371 - 109. Is a a composite number?", "a": "False" }, { "q": "Let c(y) = y**3 - 7*y**2 - 11*y - 1. Let n be c(-3). Let i = n - -527. Is i prime?", "a": "False" }, { "q": "Is (39/(-6) - -7)/(-1 + (-54443)/(-54442)) a prime number?", "a": "False" }, { "q": "Suppose -12 = -u - 2*u. Suppose u*d + 0*d = -1692. Is d/(-6)*(-104)/(-12) a prime number?", "a": "False" }, { "q": "Let i = 533 - -1196. Suppose -i = -q - d, 0*q - 4*d = -q + 1719. Is q a composite number?", "a": "True" }, { "q": "Let q = 140232 + 28817. Is q prime?", "a": "True" }, { "q": "Let w = -6419 - -84340. Is w prime?", "a": "False" }, { "q": "Let z(x) = 9*x**2 - 80*x + 21. Is z(37) a prime number?", "a": "False" }, { "q": "Suppose 184*p - 391074 = -187*p + 365*p. Is p prime?", "a": "True" }, { "q": "Suppose -2*n + 9*w + 6975 = 8*w, -4*w + 17457 = 5*n. Is n a prime number?", "a": "False" }, { "q": "Let o be 64/24*66/8. Is 6758/o - 4/22 a composite number?", "a": "False" }, { "q": "Let u = 324 + -696. Let v = u + 7757. Suppose -12*l + 7*l + v = 0. Is l a composite number?", "a": "True" }, { "q": "Suppose 3*u + 2*w = 14911, -u = 3*w - 7584 + 2616. Suppose 1 = 4*i - l - 4, 25 = -5*l. Suppose i = -n + u - 1666. Is n a prime number?", "a": "False" }, { "q": "Let z = -64600 + 95963. Is z a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*k + 3*f + 148, -2*k + 0*f = f - 74. Suppose 0 = k*b - 42*b + 10265. Is b a composite number?", "a": "False" }, { "q": "Let r = 1 + 4. Let n(i) = -i - 1. Let f(d) = 39*d - 22. Let u(t) = r*n(t) - f(t). Is u(-9) prime?", "a": "False" }, { "q": "Suppose -3*m = m + 5*m - 935577. Is m prime?", "a": "False" }, { "q": "Let f be (-8)/7 + 1 + 402/21. Let u(y) = 32*y + 39. Is u(f) composite?", "a": "False" }, { "q": "Let g(w) = 2557*w - 236. Is g(15) a prime number?", "a": "True" }, { "q": "Let j be (9 - 9) + (-1 - 29). Let k = j + 33. Is ((-30)/(-4))/k*(-296)/(-10) a composite number?", "a": "True" }, { "q": "Let f(y) = 21*y**2 + 27*y - 36. Let x be f(-23). Let m = x - 6911. Is m a composite number?", "a": "False" }, { "q": "Suppose 0 = 3*n - 6*n + 6408. Suppose 0 = 4*z - 2*s - 1710, 2*z - s = -3*z + n. Is z composite?", "a": "True" }, { "q": "Let a(c) = -2*c**2 - 8. Let t be a(2). Let r = 1362 + t. Is r a prime number?", "a": "False" }, { "q": "Suppose -14*f + 4895 = -8503. Is f + 7 + 6 + -3 composite?", "a": "False" }, { "q": "Suppose -2*z = -5*p + 111961, -56*p + 61*p - z = 111958. Is p a prime number?", "a": "True" }, { "q": "Let c = -143 + 145. Is (c - 1 - 0)/((-16)/(-37328)) a prime number?", "a": "True" }, { "q": "Let b(z) = -z**3 + 12*z**2 + 14*z - 13. Let a be b(13). Suppose a = 5*q - 6*q - 352. Let i = q - -2711. Is i a prime number?", "a": "False" }, { "q": "Let w(i) = -1392*i - 2. Let q be w(-2). Let k be 1613 - 3/(10/(120/18)). Let h = q - k. Is h composite?", "a": "False" }, { "q": "Let l(r) = -19*r + 14. Let h(x) = -37*x + 27. Suppose -3*k - 4*b = 4, -3*k - k + 2*b + 24 = 0. Let c(y) = k*h(y) - 7*l(y). Is c(-5) a composite number?", "a": "True" }, { "q": "Let k be (15/10)/(3/8). Suppose 4*s - 2*b + 2 = -0, 0 = 3*s + k*b - 15. Is 1 + (0 - s) - -419 a prime number?", "a": "True" }, { "q": "Is 78/507 - 1644262/(-26) prime?", "a": "True" }, { "q": "Is (-606934)/(-2) + (-26)/143*-11 prime?", "a": "True" }, { "q": "Let d = -3 - 5. Let z(r) = r**2 + 9*r + 2. Let v be z(d). Is 442 + (-4)/(-8)*v composite?", "a": "False" }, { "q": "Let w(v) be the first derivative of 5*v - 9 - 4*v**2 + 1/3*v**3. Is w(-6) prime?", "a": "True" }, { "q": "Suppose 0 = -46*l + 42*l + 4624. Suppose 2*j + 4*w = w + l, -3*j + 1735 = 4*w. Is j prime?", "a": "False" }, { "q": "Let x(f) = 4177*f**2 - 12*f + 57. Is x(4) composite?", "a": "False" }, { "q": "Let l(j) = 2*j**2 - 2*j + 1. Let o be l(-2). Suppose -g - o = -25. Is (-4)/((-32)/g)*134 composite?", "a": "True" }, { "q": "Let x(i) = 32212*i + 1319. Is x(5) prime?", "a": "False" }, { "q": "Suppose -8599 - 10298 = -3*a. Suppose -2*y + x = -7*y + 10509, x + a = 3*y. Is y composite?", "a": "True" }, { "q": "Let m(s) = 33148*s**2 - 191*s - 2. Is m(3) composite?", "a": "False" }, { "q": "Suppose -2*k + r = -4*k - 2579, k = -r - 1288. Let q = k + 2368. Let a = q + -738. Is a prime?", "a": "False" }, { "q": "Suppose 10*t - 8*t - 10 = 0. Suppose 2 + 3 = 5*x, 5*r = t*x + 155. Let u = r + -19. Is u composite?", "a": "False" }, { "q": "Is (8 - 12 - -1)*(-23108)/12 a composite number?", "a": "True" }, { "q": "Suppose 2*l + 1796 - 6747 = -3*i, l + 8243 = 5*i. Is i a composite number?", "a": "True" }, { "q": "Suppose 5*y - 2*v = 113691, -215*y = -210*y - 5*v - 113685. Is y composite?", "a": "False" }, { "q": "Suppose -53667 = -9*o + 72090. Is o composite?", "a": "True" }, { "q": "Let d = 112 + -100. Let r(h) = 26*h**2 - 36*h - 13. Is r(d) a prime number?", "a": "True" }, { "q": "Let i = -42650 + 79549. Is i a prime number?", "a": "True" }, { "q": "Let d(y) = 3*y - 5. Let u be d(-4). Let j = u + 21. Is j/16 - (-4773)/12 a prime number?", "a": "False" }, { "q": "Suppose -83*n = 3*n + 7*n - 401853. Is n prime?", "a": "False" }, { "q": "Let n(s) = -s**3 + 4*s**2 - 4*s + 8. Let b be (9 - 6)/((-1)/(-12)). Suppose 3*y - b = 4*r + 5*y, r = 5*y - 9. Is n(r) a prime number?", "a": "True" }, { "q": "Let k be 12*12/16 + -6. Suppose 0*q + 2910 = 3*q. Suppose k*v - q = v. Is v a composite number?", "a": "True" }, { "q": "Let s = 33707 + 16554. Is s prime?", "a": "True" }, { "q": "Let f(j) = 4*j + 18. Let d(c) = 2*c + 9. Let g(v) = -7*d(v) + 4*f(v). Let w be g(-3). Suppose 2*h = h + w*t + 986, -1963 = -2*h + 3*t. Is h a composite number?", "a": "False" }, { "q": "Suppose -4*z + 5*y + 28268 = y, -35337 = -5*z + 4*y. Is z a composite number?", "a": "False" }, { "q": "Let a be -1*(1 + -3 + -39). Let d = a - 36. Suppose -d*h = -1702 - 273. Is h prime?", "a": "False" }, { "q": "Let v = -15302 + 29412. Suppose 14070 = 5*g + 5*m, -5*g - m = -4*m - v. Is g a composite number?", "a": "False" }, { "q": "Let j(y) = 5*y**2 - 2*y - 9. Let q(n) = n**3 + 9*n**2 - n + 13. Let i be q(-9). Let k = -26 + i. Is j(k) prime?", "a": "True" }, { "q": "Suppose -4*i - 14529 = 30679. Let t be i/9 - 14/63. Is ((-13)/(-52))/((-2)/t) composite?", "a": "False" }, { "q": "Suppose -5*x + l = 2234, 0 = x + l + 329 + 119. Let m = 2372 - x. Is m prime?", "a": "True" }, { "q": "Let r(d) = 32*d + 1751. Is r(-40) composite?", "a": "True" }, { "q": "Let k = -43 - -47. Suppose 5*w = 5*t - 815, 6*w = t + k*w - 159. Suppose t - 57 = 5*a. Is a a composite number?", "a": "True" }, { "q": "Let t(u) = u - 33. Let x be t(6). Let q(b) = -2*b**3 - 3*b**2 + 2*b + 6. Let l be q(-2). Is l/x + (-30284)/(-36) composite?", "a": "True" }, { "q": "Let q be 1*5/(-10)*8. Is ((-35)/(-10) + q)*-1538 a composite number?", "a": "False" }, { "q": "Let z = -17 - -21. Let h(a) = a**3 - 3*a**2 - 4*a + 10. Let s be h(z). Is ((-12)/s)/((-9)/45) composite?", "a": "True" }, { "q": "Let u(c) = 1230*c**2 - 95*c + 913. Is u(10) a prime number?", "a": "True" }, { "q": "Suppose 4 = 4*i, -4*r = -i + 30160 - 152027. Is r composite?", "a": "False" }, { "q": "Let y = 11918 + 8419. Is y a prime number?", "a": "False" }, { "q": "Suppose 105 - 114 = 3*k, 5*p = -4*k + 181583. Is p a prime number?", "a": "True" }, { "q": "Suppose -4*d - f + 529615 = 0, -4*d - 37*f = -35*f - 529618. Is d prime?", "a": "True" }, { "q": "Let z(t) = 706*t + 33. Suppose 0 = n + 4*q + 10, 3*n = 6*n - 2*q - 26. Is z(n) prime?", "a": "False" }, { "q": "Let c be (-1)/3 - 7*(-4)/12. Suppose -1 + 9 = -2*o + l, -c*l + 14 = -3*o. Is (4 + 770/(-4))*o composite?", "a": "True" }, { "q": "Suppose -4*v = i - 2, -2*i - 3*i + 10 = 4*v. Suppose -i*d = -6*d - 16. Is (-89)/(-3*d/(-12)) a composite number?", "a": "False" }, { "q": "Let v = -19113 - -37564. Is v a composite number?", "a": "False" }, { "q": "Let a be (0 - 0)/(-3 + 4). Let t = 2 - a. Suppose -t*u = -4*u + 5686. Is u a composite number?", "a": "False" }, { "q": "Let m(h) = 2*h**3 - 11*h**2 + 4*h + 8. Let b be m(5). Suppose b*i + 3766 = 4*t, 2*t - 449 = 4*i + 1429. Is t prime?", "a": "False" }, { "q": "Let f = -6455 + 166432. Is f a composite number?", "a": "False" }, { "q": "Let p(n) = -6*n**3 - 7*n**2 - 2*n - 2. Let y = -61 - -101. Suppose -d + y = -9*d. Is p(d) a prime number?", "a": "False" }, { "q": "Let b = 13 + -9. Suppose -z + 21558 = b*f, -5*f + 5395 = -4*f + 3*z. Is f prime?", "a": "False" }, { "q": "Let y be 0*(3 - (4 - 0)). Suppose y = 47*w - 48*w + 2. Suppose w*j = 3*q - 1723, -5*q - j + 1717 = -2*q. Is q a composite number?", "a": "True" }, { "q": "Let c(p) = -2062*p - 471. Is c(-7) prime?", "a": "True" }, { "q": "Suppose -3*v + 17*c = 19*c - 109255, v - 36418 = -c. Is v a prime number?", "a": "False" }, { "q": "Suppose 30*s + 28*s - 3761 = 57*s. Is s a composite number?", "a": "False" }, { "q": "Let x be 108/28 - 3/21*-1. Let m be 1826 + -2*(x + -3). Let v = m - 1027. Is v a prime number?", "a": "True" }, { "q": "Let b be ((-116)/28)/((-1)/7). Let t = -155 + 227. Let i = t - b. Is i a composite number?", "a": "False" }, { "q": "Let y be -3 + 10/(-4)*44. Let p(i) = -i**3 + 24*i**2 + 12*i - 26. Let b be p(24). Let r = b + y. Is r a composite number?", "a": "False" }, { "q": "Suppose 13 = y - 4*p, -2*p + 6 = -28*y + 30*y. Suppose 2*r - 4*b = 3270, -5*r + 4*r = b - 1629. Suppose -r = -y*s + 1534. Is s a composite number?", "a": "True" }, { "q": "Suppose 4*d + 1877 = 3*h, 3*d - 4*h - 87 = -1500. Let v(o) = -220*o - 2. Let t be v(-4). Let r = t + d. Is r a composite number?", "a": "True" }, { "q": "Suppose -11*v + 126 = -4*v. Let g(t) = 22*t**2 - 25*t + 109. Is g(v) a composite number?", "a": "True" }, { "q": "Let a be (-3 + (-20)/(-8))*0. Suppose -5*p - 25 = -4*g, a = -p - 5*g + 14 + 10. Is (-579)/(-6) + p/(-2) composite?", "a": "False" }, { "q": "Suppose -s + 6*s - 3*o - 1522 = 0, -4*s - 3*o + 1223 = 0. Let f = s + -166. Is f a prime number?", "a": "True" }, { "q": "Let l be 6*(102/(-18) + 6). Suppose 431 = -0*a + 5*a - l*g, 2*g + 257 = 3*a. Is a a composite number?", "a": "True" }, { "q": "Let m be 0 + 0 + (-29 - 0). Suppose 5*t - 2166 = -2441. Let x = m - t. Is x composite?", "a": "True" }, { "q": "Suppose 20 = -2*t + 7*t. Suppose -4*f - l = -3632, -l + 3640 = t*f + 2*l. Is f prime?", "a": "True" }, { "q": "Let d be (49/(-2) - 1)/(1/86). Let a = d - -3178. Is a a composite number?", "a": "True" }, { "q": "Let u(o) = -o**2 + 6*o + 18. Let n be u(8). Let s be 12/n*(-4)/(16/526). Is (3 - (-12 + 1))*s/(-6) composite?", "a": "True" }, { "q": "Let x(t) = -3*t**3 - 5*t**2 - 10*t - 35. Let r be x(-4). Is (-13)/r + (-35390)/(-18) a prime number?", "a": "False" }, { "q": "Let p be ((-4)/(-5))/((-26)/(-325)). Let z = -253 - p. Is (-3 - -2)*(1 + z + -1) prime?", "a": "True" }, { "q": "Let m(x) = x**3 - x**2 + x - 2. Let v(s) = -s**3 + 36*s**2 - 9*s - 8. Let z(a) = 3*m(a) + v(a). Is z(-9) a composite number?", "a": "True" }, { "q": "Is ((-295756)/(-12))/(0 + -2*(-3)/18) a prime number?", "a": "True" }, { "q": "Suppose -84*i = -7*i - 231. Let y be (-542)/(-6) - (-2)/3. Suppose 2*o = -r - i*o + 95, r - y = -3*o. Is r a composite number?", "a": "True" }, { "q": "Let z = -200091 + 344630. Is z composite?", "a": "False" }, { "q": "Let n(z) = 2*z**2 + 42*z - 44. Let f be n(-22). Let m = -6 - -6. Suppose 4*t + f*h - 3*h = 25, m = -3*h + 3. Is t composite?", "a": "False" }, { "q": "Let w(m) = -56*m - 61. Let c(d) = 3. Let s(b) = -2*c(b) - w(b). Is s(9) a composite number?", "a": "True" }, { "q": "Let m be (37/(-5))/(7/(-70)). Suppose -66*r + m*r - 2512 = 0. Is r prime?", "a": "False" }, { "q": "Let c = 86824 + -48993. Is c composite?", "a": "False" }, { "q": "Suppose 3*z = -5*u + 225586, -2*z + 226773 = 5*u + 1184. Is u prime?", "a": "True" }, { "q": "Is (58 + -56831)/(-2 + 2/2) a prime number?", "a": "True" }, { "q": "Let x(p) = -p**3 - 2*p**2 - 5*p - 11. Let u be x(-9). Let a = u - -914. Suppose -320 = -5*c + a. Is c a prime number?", "a": "True" }, { "q": "Is (-234)/156*(-1)/1*(-57914)/(-3) a composite number?", "a": "True" }, { "q": "Suppose -3*g = -4*g + 13. Suppose 14*h = g*h + 501. Is h a prime number?", "a": "False" }, { "q": "Suppose -25 = -5*s - 5*p, 3*s + 3*p = 5*p. Suppose -3*q + 25 = s*q + 5*c, -c = -2*q + 4. Suppose -q*h - 2503 = -7900. Is h a prime number?", "a": "False" }, { "q": "Let t(l) = 5*l**2 - 1 + l**2 - 6*l - 144*l**3 + 152*l**3. Is t(4) a prime number?", "a": "False" }, { "q": "Let x(c) = -9*c**3 - 5*c**2 - 13*c. Let d(u) be the first derivative of 5*u**4/2 + 4*u**3/3 + 7*u**2 - u + 3. Let m(r) = 6*d(r) + 7*x(r). Is m(-7) composite?", "a": "True" }, { "q": "Let o = -75960 + 170339. Is o prime?", "a": "True" }, { "q": "Let c(s) = 688*s + 937*s + 56 - 354*s + 91*s. Is c(5) prime?", "a": "False" }, { "q": "Let z = 5558 + -2649. Is z prime?", "a": "True" }, { "q": "Let l be -7 - (-16822)/117 - 4/(-18). Suppose 12 = 4*n, 4*h - 822 - 261 = -n. Suppose m - l = h. Is m a prime number?", "a": "False" }, { "q": "Suppose -3*o = -3*f - 15, 4*f + 22 = -2*o + 7*o. Is 278*(27/o + -2) composite?", "a": "True" }, { "q": "Let v = -26498 - -249205. Is v composite?", "a": "False" }, { "q": "Suppose -83234 = -563*n + 555*n + 296534. Is n composite?", "a": "True" }, { "q": "Let s be ((-14)/6 - -3)*18/(-6). Let w(g) = -7*g**3 - 2*g**2 - g - 4. Is w(s) a composite number?", "a": "True" }, { "q": "Suppose q = -4*q, 0 = -r - 4*q - 6637. Let f = -3638 - r. Is f prime?", "a": "True" }, { "q": "Suppose -5*n = -6022 - 20548. Suppose -4*d + 190 = -n. Suppose d = 5*q - 279. Is q a prime number?", "a": "True" }, { "q": "Suppose 0 = r + 3*d - 16129, -39284 = -4*r + 3*d + 25292. Is r composite?", "a": "False" }, { "q": "Let n(l) = -502*l - 39. Suppose -4*d - d = 3*v + 32, 5*d + 24 = -v. Is n(d) prime?", "a": "False" }, { "q": "Suppose -12*r + 144 = -15*r. Is 6/r - (-36836)/32 composite?", "a": "False" }, { "q": "Let y be ((-20958)/(-18))/((-6)/(-36)). Is (5 - 4)/(2/y) prime?", "a": "False" }, { "q": "Suppose 24*o - 4866079 = -6*o - 71*o. Is o composite?", "a": "False" }, { "q": "Let y = 56204 + 180293. Is y composite?", "a": "True" }, { "q": "Suppose -8*l = -12*l + 153904. Suppose 0*z - l = -4*z - a, 2*a = z - 9619. Is z a prime number?", "a": "True" }, { "q": "Let m(p) = 146*p**3 - 19*p**2 + 23*p - 7. Is m(8) composite?", "a": "True" }, { "q": "Let y = 546430 + -346785. Is y prime?", "a": "False" }, { "q": "Suppose a - 8 + 3 = 0. Suppose -a*q + 45714 = 5369. Is q composite?", "a": "False" }, { "q": "Suppose -4*b + 8*s = 6*s - 282828, -282856 = -4*b - 5*s. Is b prime?", "a": "True" }, { "q": "Let n be (13216/6 + -2)*-3. Let y = 9639 + n. Is y composite?", "a": "False" }, { "q": "Suppose d + 17*y - 16413 = y, -5*y + 32772 = 2*d. Is d a prime number?", "a": "True" }, { "q": "Let r = 1318 + -151. Let f = r + 284. Is f a composite number?", "a": "False" }, { "q": "Suppose -u + 2*c + 10653 = 0, 2*u - 21299 = -14*c + 11*c. Is u a composite number?", "a": "False" }, { "q": "Suppose -270 - 262 = -f. Suppose -z + f = z. Suppose 0 = -8*o + 786 - z. Is o a prime number?", "a": "False" }, { "q": "Suppose -25 = 5*w, -5*v + w + 9302 = -163. Let r = 521 + v. Is r composite?", "a": "True" }, { "q": "Let z(v) = -24*v**3 + 4*v**2 + 26*v + 1. Let o be 3*10/5 - 13. Is z(o) a composite number?", "a": "True" }, { "q": "Suppose 4*d - 14 = -2*y, 2*y - 4*d + 2 = -0*y. Suppose -1890 = -y*k + 564. Is k prime?", "a": "False" }, { "q": "Let y(o) be the first derivative of 3*o**3 + o**2 + o - 14. Is y(10) a composite number?", "a": "True" }, { "q": "Let h = 58 - 56. Suppose 2*n - 9782 = h*u, -u + 7285 + 2491 = 2*n. Is n composite?", "a": "False" }, { "q": "Let i = 66529 + -22930. Is i a composite number?", "a": "True" }, { "q": "Is ((56018/5)/(-2))/(7*(-21)/735) composite?", "a": "True" }, { "q": "Let u(n) = -19*n**2 - 6 + 20*n - n**3 + 1 + 3 + 3. Let o be u(-19). Let c = 642 + o. Is c composite?", "a": "False" }, { "q": "Let m = 22 + 10. Let c(d) = -17 - m + 8 - 8*d. Is c(-17) a composite number?", "a": "True" }, { "q": "Let f(u) = -1235*u + 111*u - 15 + 16 - 2410*u. Is f(-2) a composite number?", "a": "False" }, { "q": "Let j(a) = -a**2 + a + 6. Let g be j(2). Let z(c) = 446*c**2 + 5*c - 9. Is z(g) a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*d + 3*r + 46, -18 = -7*d + 6*d + 4*r. Let i(l) = 9*l**2 + 12*l + 29. Is i(d) composite?", "a": "False" }, { "q": "Let c = -24456 - -45833. Is c a prime number?", "a": "True" }, { "q": "Let m = 5800 + 4385. Suppose -a = -3, 4*i - 8*i - 3*a = -m. Let o = i - 1285. Is o a prime number?", "a": "True" }, { "q": "Let h = -32788 - -56745. Is h a composite number?", "a": "False" }, { "q": "Let v be (238/21)/(6/(-747)). Let b = v - -2042. Is b a composite number?", "a": "False" }, { "q": "Let n = -41 - -47. Suppose -8*q + n*q = -8. Suppose q*b - 5*t - 4229 = 0, 4*b - 6184 = t - 1943. Is b composite?", "a": "False" }, { "q": "Let j = -20 - -70. Let i = 52 - j. Suppose 5*x - 155 = 5*c, i*x - 32 = 3*c + 30. Is x a composite number?", "a": "False" }, { "q": "Let z(o) = -15*o**3 - 4*o**2 + 4*o - 3. Let x be z(3). Let g be (2764/12)/((-1)/3). Let r = x - g. Is r a prime number?", "a": "False" }, { "q": "Let o(q) = 190*q**3 - 3*q**2 + 22*q + 13. Is o(6) a prime number?", "a": "True" }, { "q": "Let w be 4/(-14)*(-9 + (-1 - 4)). Suppose 10 - 2 = w*f. Suppose f*t - 3 = -t, 2*x + t = 1843. Is x a composite number?", "a": "True" }, { "q": "Is (-10 - -12)/(2/111409) a prime number?", "a": "True" }, { "q": "Suppose -90 = 6*d - 0*d. Let s(j) = 5*j**2 + 10*j - 8. Let c be s(d). Suppose -4*x + c = -357. Is x composite?", "a": "False" }, { "q": "Let j(s) = 1170*s**2 + 4*s. Let m be j(2). Is ((-78)/24)/((-4)/m) composite?", "a": "True" }, { "q": "Suppose -4*q = 8*q - 12. Suppose 44713 = 4*k + 2*h + h, -h - q = 0. Is k composite?", "a": "True" }, { "q": "Suppose 0 = 14*c + 5*c + 93907 - 989966. Is c composite?", "a": "False" }, { "q": "Let b be ((-3)/4)/1*-4. Suppose -25141 = -5*w + b*l, -6*w = -2*w - 4*l - 20116. Is w composite?", "a": "True" }, { "q": "Suppose 18*w - 16*w + 1256 = 0. Let v = 3 - w. Is v a composite number?", "a": "False" }, { "q": "Let w be 252/2*(-24)/(-28). Let v be 10 - ((-3)/(-3) + 3). Suppose v*i + w = 798. Is i prime?", "a": "False" }, { "q": "Let p(u) = 132*u + 67. Let f = -177 - -193. Is p(f) prime?", "a": "True" }, { "q": "Let f be ((-2)/(-3))/((-4)/(-18)). Suppose 5*c = f*s + c - 112, 0 = -s + 4*c + 32. Let n = s + -3. Is n a prime number?", "a": "True" }, { "q": "Suppose d = -v - 3*d + 11152, 0 = -2*d - 10. Let u = v + -5711. Is u composite?", "a": "True" }, { "q": "Let x(h) = -6*h - 3. Let r be x(-1). Let j be (-2 - r)/(5/35). Let c = 226 + j. Is c composite?", "a": "False" }, { "q": "Let o be (5/(-10))/(9/(-6) - -2). Let w = -42 - -20. Is (-1 + 0)/(o - w/23) a prime number?", "a": "True" }, { "q": "Is 4 + -35*(-11515)/5 prime?", "a": "False" }, { "q": "Let y be (459/(-36))/((-3)/16). Let n = y - -14. Suppose 191 = -0*w + 3*w + 2*r, 3*r + n = w. Is w a prime number?", "a": "True" }, { "q": "Let s = 7 + -8. Let j(x) = -5*x - 1. Let m be j(s). Suppose 0 = d - m*d + 3639. Is d a prime number?", "a": "True" }, { "q": "Suppose 12*f = 13*f. Suppose f = 5*v + 2*v - 1295. Is v a prime number?", "a": "False" }, { "q": "Is (-3)/((-57)/228 + 19111/76492) a composite number?", "a": "True" }, { "q": "Let g = 36 - 33. Let y be (-48)/((2/g)/(35/(-21))). Suppose -3*q + y = 27. Is q prime?", "a": "True" }, { "q": "Suppose 11*s - 2*s + 16673 = 10*s. Is s a prime number?", "a": "True" }, { "q": "Suppose 11*q - 17352 = -13*q. Let o = q + 844. Is o a prime number?", "a": "True" }, { "q": "Let x(k) = k**3 + 6*k + 5*k**2 - 4 + 0*k**3 + k**3. Let r be x(-6). Let v = r - -583. Is v composite?", "a": "True" }, { "q": "Let i be 11/3*(-3 - -309). Let t be 95/20 - 1/(-4). Suppose 0 = -t*q + i - 167. Is q composite?", "a": "False" }, { "q": "Let k = 97625 + -53772. Is k a prime number?", "a": "True" }, { "q": "Suppose 8*p + 303 - 87 = 0. Let d be (-18)/(-4)*(-12)/p. Suppose d*q - l - 598 = -4*l, -5*q = 5*l - 1485. Is q prime?", "a": "True" }, { "q": "Suppose -5*r + 30231 = -2*y, 3*r - 18131 = -3*y + 8*y. Suppose 5*k - r = -2*x, 15*k + x = 19*k - 4848. Is k prime?", "a": "False" }, { "q": "Suppose 33*y = -14936 + 261215. Is y a composite number?", "a": "True" }, { "q": "Suppose -123041 = -32*x + 160191. Is x a prime number?", "a": "False" }, { "q": "Let p = -197 + 198. Is (2461/(-2))/(p*(-3)/6) a composite number?", "a": "True" }, { "q": "Let d be ((-15)/30)/((-1)/(-2)). Is -28 - -814 - 5/d a composite number?", "a": "True" }, { "q": "Suppose -3596 = 3*l - 143. Let h = -408 - l. Is h prime?", "a": "True" }, { "q": "Suppose 0 = -v - 3*i - 69, -v = 4*i + 42 + 25. Suppose -3*u = -4*u + 3*q - 44, -4*u - 3*q - 161 = 0. Let n = u - v. Is n a prime number?", "a": "False" }, { "q": "Let y be (0 - (3 - 6)) + 0. Let u(j) = 106*j**2 - 4*j + 4. Let f be u(3). Suppose 5*b = y*i - f, -5*i + 949 = -2*i - 2*b. Is i a prime number?", "a": "True" }, { "q": "Let v(w) = -209*w**3 - 3*w**2 - 17*w + 34. Is v(-7) composite?", "a": "False" }, { "q": "Suppose -9*g + 1341748 + 3444389 = 0. Is g a prime number?", "a": "True" }, { "q": "Let o(x) = -3*x - 32. Let s be o(-14). Suppose -5*v - 2*d - 25387 = -s*v, v - 5078 = d. Is v a composite number?", "a": "False" }, { "q": "Suppose 26 - 4 = k. Let t = 24 - k. Suppose -t*b - 138 = -5*b. Is b a composite number?", "a": "True" }, { "q": "Let n = 12683 - -3096. Is n a prime number?", "a": "False" }, { "q": "Suppose -3*p + 3*x = -129, -3*x = -5*p - 4*x + 245. Let r = p + -45. Suppose -r*i = -7*i + 388. Is i a composite number?", "a": "False" }, { "q": "Suppose -28*b - 1373379 = -79*b. Is b a composite number?", "a": "True" }, { "q": "Is ((-106158)/(-18))/(39/9 - 4) prime?", "a": "False" }, { "q": "Let d = 144 + -60. Is d/(-45) + 2 + (-81686)/(-30) a composite number?", "a": "True" }, { "q": "Let d(r) = r**3 - 38*r**2 + 38*r - 17. Is d(50) composite?", "a": "False" }, { "q": "Let j(d) = 94*d**3 - d**2 + d + 1. Let t(c) = c + 11. Let f be t(-6). Suppose -14 = -2*y - 4*x, 2*y - f*x = -y - 12. Is j(y) a composite number?", "a": "True" }, { "q": "Suppose 21*b + 1 = -20. Is (418 - 9)/(b + 2) a prime number?", "a": "True" }, { "q": "Let x be 5 + (-2 - -10058) + -2. Suppose 19*a - x = 12*a. Is a a composite number?", "a": "True" }, { "q": "Let u = -511910 - -768963. Is u composite?", "a": "False" }, { "q": "Let q = -175 - -176. Is 4/q - ((4 - -2) + -337) prime?", "a": "False" }, { "q": "Let g be 32/((-46)/(-11) - 16/4). Suppose -174*z = -g*z + 1130. Is z prime?", "a": "False" }, { "q": "Suppose 0 = -24*p + 31*p - 2359. Let a = p + 450. Is a composite?", "a": "False" }, { "q": "Let d = -37 - -40. Suppose -65950 = d*b + 2*b. Is ((-1)/2)/((25/b)/5) prime?", "a": "True" }, { "q": "Let a(z) = -z**3 - 4*z**2 - 4*z - 1. Suppose 6*m + 16 = 2*m. Let x be a(m). Suppose -37 = -3*q - 0*q - 4*o, -x = 3*o. Is q prime?", "a": "True" }, { "q": "Let o = -2973 - -1999. Let r = o - -1716. Suppose 0 = 2*u - 16 - r. Is u prime?", "a": "True" }, { "q": "Suppose -75 = 9*k - 21. Let m(d) = d**3 + 6*d**2 + d + 8. Let v be m(k). Suppose -w - 2330 = -v*a - 3*a, -2*a - w + 939 = 0. Is a prime?", "a": "True" }, { "q": "Is (1*-816482)/((-1 - 3)/(2 + 0)) a prime number?", "a": "True" }, { "q": "Let a(m) = -m**3 + m**2 + 6*m + 7. Let o be a(-2). Suppose -20285 = -o*g - 384. Is g prime?", "a": "True" }, { "q": "Let z be (-2)/4 - 2/4. Let n be 34/8 + 15/(-20)*z. Suppose 2*s - 359 - 593 = n*q, q - 1445 = -3*s. Is s prime?", "a": "False" }, { "q": "Let r(a) = 41*a + 58. Let p(s) = 2*s - 1. Let n(f) = -3*p(f) - r(f). Is n(-24) a prime number?", "a": "False" }, { "q": "Suppose -2005 = -3*y + 2*l, 0*l + l - 3346 = -5*y. Suppose -6*m + 37 = -m - 3*t, 0 = -3*m - 4*t + 28. Suppose 5*u = m*u - y. Is u a prime number?", "a": "True" }, { "q": "Let c = 65702 - 43983. Is c composite?", "a": "True" }, { "q": "Let d(l) = -387*l + 5. Let r = -89 - -35. Let t = r + 50. Is d(t) prime?", "a": "True" }, { "q": "Suppose 2*v + 247 - 253 = 0, 123846 = 3*m + 3*v. Is m prime?", "a": "False" }, { "q": "Is ((-288)/42)/(-8) - 67540/(-28) prime?", "a": "False" }, { "q": "Let k = 39184 - -10297. Is k a prime number?", "a": "True" }, { "q": "Suppose 9 = -2*o + 3*b, 3*o + 0*b - 5*b + 16 = 0. Suppose -5*l - 2*a - 685 = o*a, l + 131 = -3*a. Let k = -91 - l. Is k composite?", "a": "True" }, { "q": "Suppose -4*z + 10319 = 3467. Suppose -2*i = -v + z, -4*i + 5161 = 3*v + i. Is v a prime number?", "a": "False" }, { "q": "Is ((-4)/(-10))/(276/(-60)) + 9292602/46 a composite number?", "a": "True" }, { "q": "Let g be 5*1 - (-143)/(-13). Let z(f) = 12*f**2 - 3*f - 7. Is z(g) composite?", "a": "False" }, { "q": "Suppose 2*r = -l + 94073, -531*l = -535*l + 3*r + 376281. Is l a prime number?", "a": "False" }, { "q": "Let t be (76 + 1 - 0)/(3/117). Let g = t - -1622. Suppose -3*w + 6166 = f + 3*f, -2*w + g = 3*f. Is f a composite number?", "a": "False" }, { "q": "Is 4 + (-2292535)/(-77) - (-2)/(-11) a prime number?", "a": "False" }, { "q": "Suppose 321*m = 345*m - 523704. Is m composite?", "a": "False" }, { "q": "Suppose -l + 2 = 0, -5*b + 86326 = 5*l - 106379. Is b composite?", "a": "True" }, { "q": "Let m(z) = z**3 + 4*z**2 - 3*z - 8. Suppose -1 = 6*p + 23. Let y be m(p). Suppose y*v + 508 = 8*v. Is v a composite number?", "a": "False" }, { "q": "Let s(n) = 1. Let k(b) = -8*b**2 - 3*b + 10. Let a(w) = k(w) - 4*s(w). Let c(v) = 7*v**2 + 3*v - 5. Let y(t) = -3*a(t) - 2*c(t). Is y(9) prime?", "a": "True" }, { "q": "Let x(f) = 17*f**2 + 48*f - 201. Is x(32) composite?", "a": "False" }, { "q": "Let v(y) be the first derivative of -y - 3/2*y**2 + 7/3*y**3 + 16. Is v(12) composite?", "a": "False" }, { "q": "Let j(z) = 19*z**3 - 8*z**2 + 8*z - 14. Let y(g) = 20*g**3 - 7*g**2 + 9*g - 13. Let x(b) = -2*j(b) + 3*y(b). Is x(4) prime?", "a": "True" }, { "q": "Let q = -130657 - -214256. Is q composite?", "a": "True" }, { "q": "Let x(f) = 3*f**2 + 4*f - 13. Suppose 32*p - 6 = 33*p. Is x(p) a prime number?", "a": "True" }, { "q": "Suppose -2*k + 8428 - 38989 = -w, -4*k + 91633 = 3*w. Is w a prime number?", "a": "False" }, { "q": "Let h(k) = -k**3 + 19*k**2 - 9*k - 10. Let c = -14 + 20. Suppose -c*f + 8*f = 26. Is h(f) a composite number?", "a": "False" }, { "q": "Suppose 7*p = 20 - 48. Let t(i) = 2*i**2 + 0*i**2 + 5*i**2 + 2*i**3 + 2 - 2*i - i**3. Is t(p) composite?", "a": "True" }, { "q": "Suppose -2 + 11 = 3*y. Suppose 0*h - h + 2*b + 139 = 0, y*h - 423 = 4*b. Is h a composite number?", "a": "True" }, { "q": "Suppose 3*b = 151069 + 189602. Is b a composite number?", "a": "False" }, { "q": "Suppose 4*q = 36 + 4. Let g = q - 5. Suppose -3*s + 1151 = 2*o - 98, 5*o = g*s - 2115. Is s prime?", "a": "True" }, { "q": "Let o(u) = u**2 - 2*u - 3. Let q be o(0). Let k be (12/(-10))/(q/15*-2). Is 267 + (k - 1) + (-1 - -1) a prime number?", "a": "True" }, { "q": "Suppose -5 = -l + 3*g + 12, -3*g - 32 = -4*l. Suppose l*o = 96 + 11089. Is o composite?", "a": "False" }, { "q": "Let f be -46*(-44)/(-24) - 1/(-3). Let z be f*(-1 + (-87)/(-6)). Let c = -745 - z. Is c composite?", "a": "False" }, { "q": "Let n = 211 + -207. Suppose 3949 = 3*s + 4*z + 204, -n*z = 2*s - 2490. Is s prime?", "a": "False" }, { "q": "Let r(c) = 95*c**2 - 2*c - 22. Let a be r(-3). Let v = a + 4070. Is v composite?", "a": "False" }, { "q": "Let t = 1199 + -85. Suppose -g + 4*z = -z - 447, 0 = -5*g - 3*z + 2291. Suppose 4*v - g = 3*u - 3796, -u + v = -t. Is u a prime number?", "a": "True" }, { "q": "Let y be 31 - -1 - (-6 - -10). Let k = -35 + y. Let s(d) = -d**3 - 5*d**2 - 3*d. Is s(k) prime?", "a": "False" }, { "q": "Suppose -3*g + 7 = 1. Suppose g*p - 10414 = b + 4*b, 5*p + 5*b = 25965. Is p a prime number?", "a": "True" }, { "q": "Let j(q) = 2*q. Let s(n) = 228*n - 21. Let b(u) = j(u) - s(u). Is b(-28) composite?", "a": "True" }, { "q": "Let i(g) = -g**2 + 2*g + 13. Let c be i(0). Let r(j) = j**3 - 14*j**2 + 15*j - 23. Let o be r(c). Suppose o*b = b + 374. Is b a prime number?", "a": "False" }, { "q": "Let b(r) = -r**2 - 15*r - 41. Let w be b(-9). Let o(i) = 7*i - 3*i**2 - 6 + 16*i + i**3 - 10*i**2. Is o(w) prime?", "a": "True" }, { "q": "Suppose -2*a + 3*z = -19, 2*a - 12*z + 1 = -13*z. Let b = 44 - -210. Suppose 0 = -4*x + 3*u + 1019, -x - u = -a*u - b. Is x a prime number?", "a": "True" }, { "q": "Suppose 2*c + c - 156 = -4*a, 0 = -2*a + 2*c + 64. Suppose -a*l + 32*l = -17524. Is l a prime number?", "a": "False" }, { "q": "Let o(k) = -7*k**3 + 2*k**2 + 4*k + 4. Let r be o(-4). Let l be (-1*3 - -1)/((-128)/(-14144)). Let v = r - l. Is v a prime number?", "a": "False" }, { "q": "Let o(t) = -324*t + 35. Suppose 209*h - 6 = 210*h. Is o(h) a prime number?", "a": "True" }, { "q": "Suppose 0 = 51*b - 54*b - 16716. Let f = b + 15803. Is f prime?", "a": "False" }, { "q": "Let j(g) = -2632*g**2 + 22*g + 39. Let u be j(-2). Let v = -6686 - u. Is v a composite number?", "a": "False" }, { "q": "Let a = 6 - 2. Suppose -5*n + 4*n - a = 0. Is (-6)/n*1328/12 composite?", "a": "True" }, { "q": "Let x(h) be the second derivative of 11*h**4/12 + 4*h**3/3 + 5*h**2 + 5*h. Let y be x(10). Suppose -271 = -3*l + y. Is l a composite number?", "a": "False" }, { "q": "Suppose -4*v = n - 56 + 15, n = -3. Let b(l) = -9*l**2 + l + 18. Let f(s) = -10*s**2 - 4*s + 19. Let k(g) = -6*b(g) + 5*f(g). Is k(v) a composite number?", "a": "True" }, { "q": "Suppose i + 69144 = 2*l, -7*l + 69152 = -5*l - 5*i. Is l composite?", "a": "True" }, { "q": "Suppose -19*x - 7*x = -12*x - 830914. Is x composite?", "a": "False" }, { "q": "Suppose -123245 = -2*u - 6*r + 81033, u = -4*r + 102139. Is u a composite number?", "a": "False" }, { "q": "Let y = 95656 - 48295. Is y a prime number?", "a": "False" }, { "q": "Suppose 0*j = -5*j - 2*m + 357241, m = -2*j + 142897. Is j a composite number?", "a": "True" }, { "q": "Let d(z) = z**2 + z + 16. Let n be d(0). Let x be ((10/4)/5)/((-4)/n). Is (-1)/(x/6) + (404 - 0) composite?", "a": "True" }, { "q": "Let q be (0 + 201)/(4/140). Suppose -5*v - 16*v = -q. Is v a prime number?", "a": "False" }, { "q": "Let i(s) = -s**2 - 4*s + 115. Let f(p) = p**2 + 3*p - 113. Let q(b) = 7*f(b) + 6*i(b). Is q(36) prime?", "a": "True" }, { "q": "Let v(m) = -2*m**2 + 17*m + 2. Let o be v(8). Let a be 5*(6/o + 0/1). Suppose -2*t + 635 = a*t. Is t a prime number?", "a": "True" }, { "q": "Let f be 6/(-18) - 18970/(-21). Suppose -4*w - 9*x = -13*x - 3660, -f = -w + 4*x. Is w prime?", "a": "True" }, { "q": "Let v = -81500 - -117839. Is v prime?", "a": "False" }, { "q": "Let r be 3*67/15 - (-4)/(-10). Suppose 0 = -2*u + 5 + r. Suppose -63 = -u*p - 0*p. Is p composite?", "a": "False" }, { "q": "Let z(f) = 11*f**3 - 11*f**2 - 2*f + 18. Let p(y) = -21*y**3 + 21*y**2 + 4*y - 35. Let j(a) = -6*p(a) - 11*z(a). Is j(5) a composite number?", "a": "True" }, { "q": "Suppose 3*i + f + 29 = 0, -3*f = 4*i - i + 21. Let j(u) = -21 - 17*u - 27 + 81 + 4*u**2 - 31. Is j(i) prime?", "a": "True" }, { "q": "Let z = 138064 + -86525. Is z a composite number?", "a": "False" }, { "q": "Suppose 3966 = v + 4*k, 0 = -v + 2*k - 850 + 4840. Let s = 8543 - v. Is s prime?", "a": "True" }, { "q": "Suppose -2*g + 8*h = -36066, 5*g + 9*h - 90197 = 13*h. Is g a composite number?", "a": "False" }, { "q": "Let m be (2 + (-18)/(-3))*2/8. Suppose -m*v = 2*v + n - 263, -2*n - 319 = -5*v. Let a = v - -50. Is a a composite number?", "a": "True" }, { "q": "Let z(k) = k**2 + 7*k - 6. Let h be z(-8). Suppose 3*w = 4*w + 2*l - 459, h*w - l = 913. Is w prime?", "a": "True" }, { "q": "Let v(p) = -33*p**3 - 4*p**2 + 3*p + 5. Let h = 5 + -8. Let w be v(h). Is -1*w*(-3 - -2) composite?", "a": "True" }, { "q": "Suppose 3385*r = 3379*r + 110094. Is r composite?", "a": "True" }, { "q": "Suppose 0 = 3*m - 2*t - 94411, -4*t = -2*t + 4. Is m a prime number?", "a": "True" }, { "q": "Let w be (0 - 21/6) + (-8)/16. Is 1*w/((-4)/2459) a composite number?", "a": "False" }, { "q": "Suppose -4*v = 4*w + 15144, -2*w - 4 = 2. Let q = -1525 - v. Is q prime?", "a": "False" }, { "q": "Let w be ((-378)/81)/(2/(-72)). Let p(b) = -54*b - 5. Let v be p(6). Let u = w - v. Is u a composite number?", "a": "True" }, { "q": "Suppose -5*d + 0*b = 5*b - 8785, d + 4*b = 1754. Is d/36*10 + (-4)/3 prime?", "a": "True" }, { "q": "Suppose l + 3*s = -20, 4*s + 20 = -3*l - 40. Let i be (-14 + -1)/(19 + l). Is 6053/5 - (-6)/i a composite number?", "a": "True" }, { "q": "Suppose -79*w = -266860 - 398744 + 117265. Is w prime?", "a": "False" }, { "q": "Let y(f) = 3*f**3 - 107*f**2 - 122*f - 7. Is y(67) a composite number?", "a": "True" }, { "q": "Let x(m) = 4515*m**3 + 24*m**2 + 9*m - 5. Is x(2) a prime number?", "a": "True" }, { "q": "Let m = -308 - -583. Suppose -282 = -0*o - 2*o. Let a = m - o. Is a composite?", "a": "True" }, { "q": "Let q = -22285 - -38556. Is q composite?", "a": "True" }, { "q": "Let u(w) = 9 - 6*w - 12*w + w**3 + 5*w**2 - 3 + 20*w. Let o be u(-5). Is 3193/9 + (-3)/(54/o) a prime number?", "a": "False" }, { "q": "Suppose -55*j = 97*j - 10280216. Is j a composite number?", "a": "True" }, { "q": "Let l(r) = 216*r**3 - 5*r**2 + 7*r - 1. Is l(1) prime?", "a": "False" }, { "q": "Let j(b) = 16 + 32 - 190*b + 49*b + 17. Is j(-12) prime?", "a": "False" }, { "q": "Let n = -20000 - -34216. Suppose 0*c + 2*c = d - 3551, 4*d - n = 4*c. Is d a prime number?", "a": "True" }, { "q": "Suppose -94051 = 52*b - 285983. Is b a prime number?", "a": "True" }, { "q": "Let n(o) = -o**2 - 4*o - 77. Let d be n(-27). Let t = -219 - d. Is t composite?", "a": "False" }, { "q": "Let v(a) = -520*a**3 - 8*a**2 - 10*a - 1. Is v(-3) a composite number?", "a": "False" }, { "q": "Suppose 10*s = -8*s + 11898. Suppose -s = -3*v - 0*v + 2*w, 458 = 2*v + 3*w. Is v prime?", "a": "True" }, { "q": "Let t = -18 - -18. Let c(y) = -3*y - 3. Let o be c(t). Is (-1)/1 + o - -591 prime?", "a": "True" }, { "q": "Let h be (7/3)/(1/3). Let s(o) = 61*o + 11*o - 8*o + 2 - 19 + 10*o. Is s(h) a composite number?", "a": "True" }, { "q": "Let v(j) = 201*j - 17. Let h(x) be the third derivative of -151*x**4/12 + 25*x**3/6 + 6*x**2. Let c(a) = 5*h(a) + 7*v(a). Is c(-5) a prime number?", "a": "True" }, { "q": "Is ((-22)/44)/((-15)/151870*(-1)/(-3)) a composite number?", "a": "False" }, { "q": "Let k(g) = -6594*g - 1943. Is k(-31) a composite number?", "a": "False" }, { "q": "Let q(f) = -1817*f + 17. Let v be q(-4). Suppose -v = -5*m + 58180. Is m prime?", "a": "True" }, { "q": "Let z be 44/8 + -2*(-1)/(-4). Suppose -11*x = -z*x - 4530. Is x prime?", "a": "False" }, { "q": "Let h(u) = 15*u + 19. Suppose 3 = j - 3*p + 2*p, -10 = -2*j - 2*p. Suppose 2*d + 50 = 5*r - 3*d, -j*r - d + 20 = 0. Is h(r) composite?", "a": "False" }, { "q": "Let s(v) = 16*v**3 + 5*v**2 - v - 7. Let g be s(4). Let c = g + -442. Suppose -c = -b + 4*x, -2*x + 1883 = -0*b + 3*b. Is b a composite number?", "a": "False" }, { "q": "Suppose -2*l - 616 = 2*r - 5094, -r + 3 = 0. Let z = l - -17. Is z prime?", "a": "False" }, { "q": "Suppose 3*h - 4 = 5. Suppose -h*g + 10 = 2*g. Suppose 0 = -2*j + 7*j - i - 3420, 2*i = g*j - 1360. Is j a composite number?", "a": "True" }, { "q": "Suppose 3*c = -4*v + 5, -v - v - 2*c = 0. Suppose -v*a + 25 - 130 = 0. Let d = a - -28. Is d prime?", "a": "True" }, { "q": "Let w(r) = r**3 - 24*r**2 - 4*r + 34. Let c be (-30 - -17)/((-2)/4). Is w(c) composite?", "a": "True" }, { "q": "Let q = 1 - -4. Suppose 0 = -5*v + 4*u + 3077 + 8715, u = -2*v + 4722. Suppose q*z = v + 1095. Is z prime?", "a": "True" }, { "q": "Suppose 42 + 21 = -9*y. Let o(d) = -124*d + 31. Is o(y) prime?", "a": "False" }, { "q": "Let a be (156/(-10))/(12/(-30)). Suppose -3*c = -12 - a. Suppose 2*k = -c + 135. Is k a prime number?", "a": "True" }, { "q": "Suppose -2*q - 162 = -11*q. Let a = q + -14. Suppose 3*n + 10 = a*n. Is n prime?", "a": "False" }, { "q": "Let b(r) = 255*r**2 + 2*r + 3. Let p be b(-2). Let s(z) = 153*z**2 - 35*z - 38. Let g be s(-1). Let o = g + p. Is o prime?", "a": "False" }, { "q": "Suppose 220800 - 22133 + 35523 = 22*j. Is j composite?", "a": "True" }, { "q": "Let a(c) = c - 51*c**2 + 5 + 5*c + 369*c**2. Is a(-1) prime?", "a": "True" }, { "q": "Is 1906692/100 + 24/300 prime?", "a": "False" }, { "q": "Suppose -20*s + 24*s - 12 = 0. Suppose -4*m - 665 = -s*t, -415 = -5*t + 3*t - 3*m. Is t prime?", "a": "False" }, { "q": "Let j be 6*(-2)/(-18) + (-3518)/(-6). Let v be (-137)/2 - (-6)/(-4). Let r = v + j. Is r a prime number?", "a": "False" }, { "q": "Suppose -8*w = -20 - 4. Suppose 0 = -x - w*d + 3824, 4*x - 5*d = 3*x + 3816. Is x composite?", "a": "False" }, { "q": "Let t(b) = 7*b**2 - 6*b - 7. Let y be t(5). Suppose n - 603 - y = 0. Is (n - -10) + 0/1 prime?", "a": "True" }, { "q": "Let m(f) be the third derivative of f**5/30 - 5*f**4/8 - 5*f**3 - 182*f**2. Let c be (-4)/10 + 468/20. Is m(c) a composite number?", "a": "False" }, { "q": "Let k(n) be the second derivative of 19*n**5/5 - n**4/12 - n**3/2 + 2*n**2 + 11*n. Let a be k(3). Is 5/(-15) - a/(-3) prime?", "a": "False" }, { "q": "Let j be (-36)/30*(-10)/6 + 3. Suppose -j*f + 2943 = -4*f + r, 5*r = -4*f + 11776. Is f composite?", "a": "False" }, { "q": "Let s be (5/15)/(2/36). Suppose 4*m - 3*p + 7391 = 9*m, -3*p = -s. Is m a prime number?", "a": "False" }, { "q": "Suppose 0 = -32*g - 24*g + 52*g + 114092. Is g a prime number?", "a": "False" }, { "q": "Suppose 27*q - 38410743 = -132*q. Is q a composite number?", "a": "True" }, { "q": "Let a = -63 - -48. Let z be 0 + (-6)/a + (-3513)/(-5). Suppose -2820 = -4*m + 4*g, 4*g - 695 - z = -2*m. Is m composite?", "a": "True" }, { "q": "Suppose 1286 = -4*o - 5*y, y = -2*o + 3*y - 652. Let s = 695 + o. Is s prime?", "a": "False" }, { "q": "Suppose 4*r - 50 = 146. Let s = r - 46. Suppose -648 = s*p - 2751. Is p a prime number?", "a": "True" }, { "q": "Suppose -5*r - 89105 + 466374 = 6*s, r + 2*s - 75453 = 0. Is r prime?", "a": "False" }, { "q": "Suppose 2*f = 2*i + 173612, 34940 = f - 5*i - 51878. Is f a prime number?", "a": "False" }, { "q": "Is -5 + 15827 - 154/(-14) prime?", "a": "False" }, { "q": "Let p = 82 + -45. Suppose 2 = 3*i - 4*h - p, -5*h - 15 = 0. Suppose 0 = -10*y + i*y + 499. Is y a composite number?", "a": "False" }, { "q": "Suppose 7*a - 63210 = 68844 + 45753. Is a a prime number?", "a": "False" }, { "q": "Let f = -11 - -23. Let t(x) = -2*x + 24. Let m be t(f). Suppose 5*o - h = 130, -o + 4*h + m*h + 45 = 0. Is o a composite number?", "a": "True" }, { "q": "Let w be (-1 - -85)/(-3 + (-24)/(-9)). Let u = w - -893. Is u prime?", "a": "True" }, { "q": "Let h(d) = 4*d**2 - 12*d + 21. Let q = -2 + -45. Let c = q - -37. Is h(c) composite?", "a": "False" }, { "q": "Let x = 68729 - 38828. Is x prime?", "a": "False" }, { "q": "Let j(q) = -95*q**3 - q + 5 + 99*q**3 + 0*q + 4*q**2. Is j(6) a prime number?", "a": "False" }, { "q": "Let b be ((-87)/(-145))/(2/10). Let r be 4 - (b + -1)*-1. Is (2910/35)/r + 2/14 a composite number?", "a": "True" }, { "q": "Let d(c) = 2442*c - 58. Let z be d(4). Suppose -p - z = -2*r, -r = -0*r - 4*p - 4869. Is r a prime number?", "a": "False" }, { "q": "Let y be (116/2 - (-15 - -12))*3. Suppose 3*c + 5*r - y = 6811, 2*c - 4*r = 4670. Is c composite?", "a": "False" }, { "q": "Suppose -l + 2*h = 8, -2*h = 4*l + 2*h - 28. Suppose -91 + 55 = -4*u. Suppose u*v - 329 = l*v. Is v prime?", "a": "True" }, { "q": "Let y(l) = l**2 + 14*l - 1. Let b be y(-14). Let d(w) = -303*w**3 + w**2 + 2*w + 1. Let t be d(b). Suppose 2*c + 3*n = -c + 228, -4*c = 5*n - t. Is c prime?", "a": "False" }, { "q": "Let u = -38728 + 72969. Is u prime?", "a": "False" }, { "q": "Suppose -5*d + 5*o - 10 = 0, -2*o - 3 + 13 = d. Suppose 0 = -i + f + 583, 0 = 3*i - 0*f - d*f - 1749. Is i a composite number?", "a": "True" }, { "q": "Let i(v) = v**2 + 8*v + 16. Let a(w) = -w**2 - w - 4. Let z be a(-2). Let d be i(z). Suppose -2*j = -d*r + j + 1547, -3*r = 2*j - 1173. Is r composite?", "a": "False" }, { "q": "Suppose 2*o - 6 = 2*v, -3*v = 2*o - 16 - 15. Let n(u) = 47*u**2 - 11*u + 10. Let k be n(o). Suppose -k = -12*p + 2*p. Is p prime?", "a": "True" }, { "q": "Let b be 65/15 + (-2)/(-3). Suppose 3164 = b*a + c + 165, 3005 = 5*a - 5*c. Is a/2 + 3 + -1 prime?", "a": "False" }, { "q": "Let d be (-2 + -5 - 29)/(6/(-28)). Is 4302/14 + (-48)/d a composite number?", "a": "False" }, { "q": "Suppose -109*u - 868882 = -123*u. Is u prime?", "a": "False" }, { "q": "Let l(n) = -4*n + 9. Let z be l(2). Let d be 11/1 - z - 2. Suppose -3*y + d*y - 8845 = 0. Is y composite?", "a": "True" }, { "q": "Suppose 156283 = 8*d - 65581. Is d prime?", "a": "True" }, { "q": "Let o(n) = -2*n - 3. Let f be o(-14). Suppose 22*c + 4155 = f*c. Is c composite?", "a": "True" }, { "q": "Let o(h) = h**3 - 7*h**2 + 4*h + 14. Let t be o(6). Suppose 3*q - q + t*a = 1800, 3*q - 3*a = 2694. Is q composite?", "a": "True" }, { "q": "Let q(k) = 21*k - 988. Let f be q(46). Suppose -v + 254 + 133 = 0. Let a = f + v. Is a a composite number?", "a": "True" }, { "q": "Let c(j) be the third derivative of j**6/120 - 11*j**5/60 + 11*j**4/24 - 3*j**3/2 + 16*j**2. Let l be c(10). Is (1445/(-20) - l)/(1/(-8)) a prime number?", "a": "False" }, { "q": "Let h = 92156 + -20139. Is h a prime number?", "a": "False" }, { "q": "Let z = -11 + 7. Is ((-709)/z)/((-36)/(-144)) a composite number?", "a": "False" }, { "q": "Is (1 + 75162/24)/(7/((-56)/(-6))) composite?", "a": "False" }, { "q": "Suppose -8*j + 5*l - 41683 = -12*j, -5*j - 2*l + 52125 = 0. Is j prime?", "a": "True" }, { "q": "Let v(h) = -13*h**3 + 6*h**2 + 30*h + 604. Is v(-13) composite?", "a": "False" }, { "q": "Let f be (12/3 - 483)*-2. Suppose 0 = -3*d + 15, 0 = -5*s - 4*d + f + 12347. Is s composite?", "a": "False" }, { "q": "Let p(o) be the second derivative of -o**4/12 + 4*o**3/3 + o**2/2 - 8*o. Let m be p(-2). Let r = m - -202. Is r prime?", "a": "False" }, { "q": "Let j(y) = 9*y + 3. Let k be j(4). Suppose -3*t + 20 = -4*g, -6*t + 4*t = -g - 10. Let a = k + g. Is a a composite number?", "a": "False" }, { "q": "Let k be ((-105)/(-10))/(2/48) - -4. Is k/(-2 + 3) + (-27)/9 prime?", "a": "False" }, { "q": "Let a(g) = 523*g**2 + 137*g - 67. Is a(22) a prime number?", "a": "True" }, { "q": "Suppose -12698 = -4*j + 4*l + 542, j - 3315 = -4*l. Suppose 2*d = 9*d + j. Let c = d + 771. Is c prime?", "a": "False" }, { "q": "Let s(v) = 33*v + 169. Let b be s(-5). Let h(f) = f**2 - f - 4. Let z be h(3). Suppose -b*y + z*d = -2*y - 2112, -2*y = 4*d - 2142. Is y a prime number?", "a": "True" }, { "q": "Let s = 189 - 228. Is (-5514)/(4 - 1)*s/26 a composite number?", "a": "True" }, { "q": "Let s(u) = 32*u + 3. Let j be s(1). Let y = j - 30. Suppose 11538 - 2123 = y*i. Is i a prime number?", "a": "False" }, { "q": "Suppose 4*p + 5*m = 37971, 4*m = -0*m + 12. Is p a composite number?", "a": "True" }, { "q": "Let p(u) = -u**2 - 6*u. Let z be p(-6). Suppose r + 3*n - 5666 = z, -2*r + 5113 = -n - 6212. Is r prime?", "a": "False" }, { "q": "Let s(b) = 11932*b - 1617. Is s(5) prime?", "a": "True" }, { "q": "Suppose 422378 - 139398 + 355204 = 12*a. Is a a composite number?", "a": "True" }, { "q": "Let s = -915 - 3. Let g = -224 - s. Is g prime?", "a": "False" }, { "q": "Is (-13 - -15)*(2 + (-396428)/(-8)) prime?", "a": "False" }, { "q": "Suppose 3*b + 196556 = y, -7*y = -10*y - 2*b + 589701. Is y composite?", "a": "True" }, { "q": "Let w(s) = -s**3 + 15*s**2 + 2. Let r be w(15). Let h(n) = 450*n**2 + 6*n - 1. Is h(r) a prime number?", "a": "True" }, { "q": "Suppose 0*v - 2*v = -5*b + 12, -5*b - 2*v = -8. Suppose -a - b*h + 24 = 0, a - 5 = -5*h + 13. Suppose 5*p = 7*p - a. Is p composite?", "a": "True" }, { "q": "Suppose x = 8 - 4. Suppose 11 = -x*d - 17. Is (-2756)/(-12)*(-4 - d) a composite number?", "a": "True" }, { "q": "Suppose 0 = 4*j - 2*r - 4, 2 = 2*r - 2. Suppose -8 = j*m - 2. Is (5/2)/(m/78*-1) composite?", "a": "True" }, { "q": "Let q(h) be the third derivative of -5*h**5/24 - 23*h**4/24 - h**3/2 + h**2. Let l(f) be the first derivative of q(f). Is l(-6) prime?", "a": "True" }, { "q": "Suppose 18*w - 23*w = 1480. Let y = -138 + 697. Let g = y + w. Is g a prime number?", "a": "True" }, { "q": "Suppose 4*k = k + 3, -4*k + 584 = 4*u. Let v = 324 - u. Is v a composite number?", "a": "False" }, { "q": "Suppose 0 = 127*u + 30*u - 9216371. Is u composite?", "a": "True" }, { "q": "Let b(j) = 88*j**3 + 13*j**2 - 31*j - 65. Is b(7) a prime number?", "a": "True" }, { "q": "Suppose -9 + 9 = -2*l. Suppose l = 4*n + 5*x - 912, n = 2*x + 211 + 30. Is n a composite number?", "a": "False" }, { "q": "Suppose -6*n = -23 - 1. Suppose n*s - 5*v - 2007 = 0, 3*s - s = -3*v + 1009. Is s a composite number?", "a": "False" }, { "q": "Let i = 96 - -17. Let q = 2090 + i. Is q a composite number?", "a": "False" }, { "q": "Let v(j) be the third derivative of 13*j**5/60 - j**4/6 - 26*j**3/3 - 18*j**2. Is v(-5) composite?", "a": "False" }, { "q": "Let j(t) = -12*t - 49. Let k = 13 - 17. Let i(u) = 4*u - 4. Let x be i(k). Is j(x) composite?", "a": "False" }, { "q": "Suppose -13*d + 526989 = -344284. Is d composite?", "a": "False" }, { "q": "Let s(n) = n**3 - 3*n**2 - 3*n + 3. Let l be s(4). Let f(c) = -c**2 + 16*c**2 + 3 + 0 + l*c. Is f(5) composite?", "a": "True" }, { "q": "Suppose 1008 = -3*c + 3*w, 5*w + 1362 = -4*c - 0*w. Let r(x) = -158*x + 13. Let o be r(-4). Let g = c + o. Is g prime?", "a": "True" }, { "q": "Suppose y = 3*y + 18. Let z = y - -19. Is z/(-4)*(-9)/(36/296) a prime number?", "a": "False" }, { "q": "Suppose 30 = 5*b + 5*z, 0 = -3*b - 2*z + 9 + 5. Suppose -154 = b*v - 30. Let w = 120 + v. Is w a prime number?", "a": "False" }, { "q": "Let x(r) = 367*r + 968. Is x(9) composite?", "a": "False" }, { "q": "Suppose 5 = a + 2. Let z be 8/a + (-2)/3. Suppose v + 4*o = -o + 318, -z*o = -4*v + 1162. Is v composite?", "a": "False" }, { "q": "Suppose -4*d = 3*h + 29, -h = -0*d - 2*d - 7. Is (d/(-6))/(5/330) a composite number?", "a": "True" }, { "q": "Suppose 18 + 2 = 20*a. Let v(q) = 4770*q - 13. Is v(a) prime?", "a": "False" }, { "q": "Let c(n) = -18*n + 428. Let h be c(0). Suppose -6*l + h + 3778 = 0. Is l a prime number?", "a": "True" }, { "q": "Let o(c) = -c**3 - 15*c**2 - 56*c - 121. Is o(-20) a composite number?", "a": "False" }, { "q": "Suppose -4*m + 3320 = -2*f - 0*f, 0 = 2*m + 5*f - 1648. Suppose 27 = 4*u + 7. Suppose -u*s + 189 = i, 0 = 4*i - 5*s - m + 123. Is i prime?", "a": "True" }, { "q": "Let q be 13/39 - 82/(-6). Suppose q*c + 283 - 11399 = 0. Is c prime?", "a": "False" }, { "q": "Let z(j) = 4976*j**2 - 204*j - 1413. Is z(-7) a composite number?", "a": "False" }, { "q": "Let m(q) be the second derivative of 79*q**5/40 + 5*q**4/6 - 8*q**3/3 - 12*q. Let r(c) be the second derivative of m(c). Is r(9) prime?", "a": "True" }, { "q": "Let d be 259/4*(-192)/24. Let b = 11 - d. Is b a composite number?", "a": "True" }, { "q": "Suppose 6*z + 54593 = 692159. Is z prime?", "a": "True" }, { "q": "Let z be 6/((0 + -1)/5). Let s(l) = -l**3 - 22*l**2 + 43*l + 9. Is s(z) a prime number?", "a": "False" }, { "q": "Suppose -2*m - 7 = -3*m. Let v = -19 + m. Let g(s) = -62*s - 13. Is g(v) composite?", "a": "True" }, { "q": "Suppose -220 = 10*y + 760. Let r be -1*(-165)/3*3. Let t = r - y. Is t composite?", "a": "False" }, { "q": "Let v = 19803 - -83518. Is v prime?", "a": "False" }, { "q": "Suppose 3*x - 3905 = -y, 2*x - 11655 = -3*y + 5*x. Suppose -29*j + 19*j + y = 0. Is j prime?", "a": "True" }, { "q": "Let n be 339/18 + (-5)/(-30). Suppose 0 = -18*h + n*h - 1346. Is h composite?", "a": "True" }, { "q": "Let m(d) = -d**3 - 9*d**2 + 24*d - 8. Let g be m(-11). Let f = g + 104. Is f a prime number?", "a": "False" }, { "q": "Let h(d) = 3465*d - 491. Is h(18) prime?", "a": "True" }, { "q": "Suppose -10*k - 480549 + 625387 = -1199152. Is k a prime number?", "a": "True" }, { "q": "Let c be (-35)/140 + 21/4. Suppose 4*t + c*h - 1164 = 0, -3*t - 184 = 4*h - 1057. Is t a composite number?", "a": "True" }, { "q": "Is ((-383369)/14)/((-12)/24) prime?", "a": "True" }, { "q": "Suppose 1721*n - 1729*n = -492010 - 571102. Is n a composite number?", "a": "True" }, { "q": "Is ((-4)/6)/((-23986505)/(-3426645) + -7) a prime number?", "a": "True" }, { "q": "Suppose 411 = -10*g + 9501. Let j be (-2 + (-2)/(-1))/2. Suppose j*p - g = -3*p. Is p a prime number?", "a": "False" }, { "q": "Let z = 121063 - 85266. Is z prime?", "a": "True" }, { "q": "Let l = 20 + 7. Suppose -4 + l = u. Suppose 22*a + 67 = u*a. Is a prime?", "a": "True" }, { "q": "Let y(u) = -56*u**3 - 3*u**2 + 6*u + 9. Let x be y(4). Let j = x - -13132. Is j a prime number?", "a": "True" }, { "q": "Suppose -41*p + 68490 = -36*p. Suppose -y - 17*y = -p. Is y a prime number?", "a": "True" }, { "q": "Let s(v) be the third derivative of -5/8*v**4 + 0*v + 14*v**2 + 5/6*v**3 + 0 + 11/20*v**5. Is s(9) a prime number?", "a": "True" }, { "q": "Is 521*12/((-60)/(-185)) composite?", "a": "True" }, { "q": "Suppose -31 = -5*c - 6. Suppose -4*b - b = -c*d + 3165, 0 = -2*b - 2*d - 1278. Let o = b - -901. Is o composite?", "a": "True" }, { "q": "Suppose 2*q - 19919 = 2*t - 6319, -q + 6790 = -3*t. Is q prime?", "a": "False" }, { "q": "Is ((-46466)/4)/((-14)/252*9) a composite number?", "a": "True" }, { "q": "Suppose -o + 2*a = -280, -3*o = -6*o + 4*a + 832. Let u = 775 - o. Is u a prime number?", "a": "True" }, { "q": "Let a(d) = 3471*d - 373. Is a(16) prime?", "a": "True" }, { "q": "Suppose 6*l + l - 28 = 0. Let k be 2/(-8) - (8861/l)/(-1). Suppose -13*j + 8*j + k = 0. Is j composite?", "a": "False" }, { "q": "Let c(x) = 3*x**3 + 4*x**2 + x + 7. Let h be c(4). Suppose 4*p - 3973 = m, -2712 - h = -3*p + m. Suppose 4*u + 4*j - 960 = 0, 5*u + 4*j - 203 = p. Is u prime?", "a": "False" }, { "q": "Let a(v) = v**2 + v + 2. Let j be a(-2). Let u(g) = 1581*g + 5 - 3 - 1 - 1515*g. Is u(j) a composite number?", "a": "True" }, { "q": "Let y = -6 - -8. Suppose -o - 2 = c + y, 2*o = 5*c + 6. Is ((-4431)/28)/((-3)/c)*-2 prime?", "a": "True" }, { "q": "Suppose 52*z - 5940345 - 4657560 = -83*z. Is z a composite number?", "a": "True" }, { "q": "Let b(d) be the first derivative of -d**4/4 + 13*d**3/3 - 9*d**2/2 + 19*d - 1. Suppose -4*x + 51 = -3*s, 5*x + 4*s - 45 - 11 = 0. Is b(x) prime?", "a": "False" }, { "q": "Let u = 2152 - 868. Suppose 2*n + u = 2*z, -2*n + 3245 = 4*z + z. Is z a composite number?", "a": "False" }, { "q": "Let i be (9/27)/(2 + (-3370)/1686). Let x = 572 - i. Is x composite?", "a": "True" }, { "q": "Suppose 785938 - 2427863 = -25*l. Is l a prime number?", "a": "True" }, { "q": "Let w = -41 - -41. Suppose w = 3*t - 339 - 204. Let g = -92 + t. Is g prime?", "a": "True" }, { "q": "Is (-1)/(4/(-3)) + (-3241069)/(-116) composite?", "a": "False" }, { "q": "Let m = -503322 - -778027. Is m a prime number?", "a": "False" }, { "q": "Let i = -14062 + 29845. Is i a composite number?", "a": "True" }, { "q": "Let u = 2290 + -3471. Let a = -519 - u. Is a a composite number?", "a": "True" }, { "q": "Suppose 2163 = 5*u - 1817. Suppose 9*g - 5675 - u = 0. Is g composite?", "a": "False" }, { "q": "Suppose 5759 = b + 16*y - 11*y, -28911 = -5*b + 4*y. Is b a prime number?", "a": "True" }, { "q": "Suppose 22790 - 708 = 5*z - 3*p, -4*p = -4. Is z composite?", "a": "True" }, { "q": "Suppose k - 6*k = -30. Let w be (15/k)/(-3*5/(-12)). Is (w/(-8))/1 + (-3610)/(-8) a composite number?", "a": "True" }, { "q": "Suppose 1297 = -2*z - 3719. Is z/(-7) - ((-52)/14 - -4) a composite number?", "a": "True" }, { "q": "Suppose 0 = 12358*a - 12373*a + 116835. Is a a prime number?", "a": "True" }, { "q": "Let x = 2332 - 764. Let n = x + -799. Is n prime?", "a": "True" }, { "q": "Let q(g) = 2*g + 9. Let c(k) = -3*k - 17. Let f(n) = 4*c(n) + 7*q(n). Let p be f(6). Let j(d) = -d**3 + 15*d**2 - 11*d + 4. Is j(p) a prime number?", "a": "False" }, { "q": "Let j = 36 - 32. Suppose j*c - 54 = c. Suppose -127 = -c*d + 17*d. Is d composite?", "a": "False" }, { "q": "Let o(z) = -z**3 + 5*z**2 + 7*z + 7. Let d = 136 + -140. Is o(d) a composite number?", "a": "True" }, { "q": "Let j(n) = n**3 - 3*n**2 + n + 88547. Is j(0) composite?", "a": "False" }, { "q": "Suppose 44*z - 66*z + 4746108 - 1387302 = 0. Is z a composite number?", "a": "True" }, { "q": "Let z(k) = -101*k - 36. Let b be z(-5). Suppose -5*g = b - 3134. Is g composite?", "a": "True" }, { "q": "Let s be ((-3)/4)/((-862)/(-216) - 4). Suppose -10*j = -j + s. Is (21/j + 3)/((-4)/(-1902)) prime?", "a": "True" }, { "q": "Let n = -196 + 206. Let t(k) = 38*k**2 + 56*k - 3. Is t(n) prime?", "a": "True" }, { "q": "Let j(g) be the first derivative of 3*g**4/2 - 7*g**3/3 + g**2 + 13*g + 32. Is j(4) a prime number?", "a": "True" }, { "q": "Let u(o) = 190*o + 31. Let b(t) = -t + 1. Let a be b(-2). Suppose -2*q - 3*r + 24 = 7, 0 = q + a*r - 10. Is u(q) a prime number?", "a": "True" }, { "q": "Is 35762 - -15*21/35 composite?", "a": "False" }, { "q": "Let c be 631/(6 - (-20)/(-4)). Suppose 2*h - 428 = 5*v, -2*h + 2*v + c = h. Is h composite?", "a": "True" }, { "q": "Let v(a) = 8311*a**2 - 48*a - 2. Is v(3) prime?", "a": "True" }, { "q": "Is (58/3)/(8/12468) prime?", "a": "False" }, { "q": "Suppose -5*k = -9*k + 12. Suppose 4*d + 0 + 1 = -k*z, -3*z + 35 = -5*d. Suppose 0*u + 1191 = 3*u + z*w, 0 = -3*u - 2*w + 1191. Is u a prime number?", "a": "True" }, { "q": "Is 108368/8 - (6/(-2))/(4 - 3) prime?", "a": "False" }, { "q": "Suppose 0 = -8*z + 3*z + 95. Let v = 6 + z. Suppose 6305 = -20*r + v*r. Is r a composite number?", "a": "True" }, { "q": "Let i = 291 + -124. Let t be (-4)/14 - 60028/602. Let n = i + t. Is n a prime number?", "a": "True" }, { "q": "Let t(c) = 43*c**3 - 2*c**2 - 4*c + 9. Suppose -14 + 26 = 6*n. Is t(n) composite?", "a": "False" }, { "q": "Let u(g) = -g**2 + 12*g + 17. Suppose 0*t - 4*t = -92. Let b = 33 - t. Is u(b) a composite number?", "a": "False" }, { "q": "Let i = 21526 + -8890. Suppose 3696 = 12*o - i. Is o composite?", "a": "False" }, { "q": "Let c(l) be the third derivative of -47*l**4/24 + l**3/3 + 8*l**2. Let f be (-106)/8 - (-1)/4. Is c(f) prime?", "a": "True" }, { "q": "Let f = -150 + 155. Suppose f*n = 11*n - 3324. Is n a prime number?", "a": "False" }, { "q": "Suppose -v - v = -4*v. Suppose -2*c + 3140 + 3206 = -5*m, c - 5*m - 3183 = v. Is c a prime number?", "a": "True" }, { "q": "Let n(g) = 7*g - 18. Let t be n(5). Suppose t - 2 = -l. Is (-1 - 26016/l) + (-6)/15 composite?", "a": "False" }, { "q": "Let x = -145 + 160. Is (-112128)/(-30) - x/25 composite?", "a": "True" }, { "q": "Let y(a) = a**3 - 9*a**2 - 8*a - 20. Let w(p) = -10*p**3 - p - 1. Let c be w(-1). Let x be y(c). Let q(m) = m**2 - m + 127. Is q(x) a composite number?", "a": "False" }, { "q": "Let s = 19 + -16. Suppose -s*c + 340 = -1559. Suppose 0*k + 2*k = -3*l + c, 0 = 4*l - 5*k - 844. Is l a prime number?", "a": "True" }, { "q": "Let n = 54 - 42. Is (-41828)/(-60) + -3 + n/(-90) a prime number?", "a": "False" }, { "q": "Let f be 6/(-8)*-2 - (-33803)/22. Suppose 0 = 6*r - f - 1240. Is r prime?", "a": "True" }, { "q": "Is 1 - (-6)/(-15) - 166/5*-6247 a composite number?", "a": "False" }, { "q": "Suppose 1672 = -2*u - 2*u. Let p = u + 2775. Is p a prime number?", "a": "True" }, { "q": "Suppose 5*x + 5 = 30. Suppose -3*j - j = -2*n - 8, 5*j - 3*n - 9 = 0. Is (74/4)/(x/90*j) a prime number?", "a": "False" }, { "q": "Suppose -3939 - 2829 = -9*i. Let n = 783 + i. Is n composite?", "a": "True" }, { "q": "Let o(n) be the third derivative of 7*n**6/120 - n**5/12 + n**4/24 - 5*n**3/6 + 7*n**2. Let s = 66 - 62. Is o(s) composite?", "a": "False" }, { "q": "Let x(l) be the first derivative of -149*l**4/4 - l**3/3 + l - 1. Let z be (-15)/13 - (0 + (-2)/13). Is x(z) a composite number?", "a": "False" }, { "q": "Suppose 5*u - 23 = -4*c, 0 = c - 2. Suppose -3622 = -5*o + u*o. Let s = -1176 + o. Is s prime?", "a": "False" }, { "q": "Suppose -l + 133321 = 2*v, 3*l - 266113 - 133847 = -3*v. Is l a prime number?", "a": "True" }, { "q": "Let j = -96992 + 199431. Is j a prime number?", "a": "False" }, { "q": "Let k(y) = 12*y**3 - 250*y**2 + 45*y + 9. Is k(32) a prime number?", "a": "False" }, { "q": "Let a(t) = 41*t**2 + 8*t + 5. Let h be a(5). Suppose 5615 + h = 5*o. Is o a composite number?", "a": "True" }, { "q": "Let b be 4/4 + -4 - -192. Suppose -3*t = -n + b, 708 = 4*n - t + 5*t. Let o = 7 + n. Is o a prime number?", "a": "False" }, { "q": "Suppose 3*u + 4*i - 20 = 0, 5*u - i = 11 + 7. Suppose 0 = -t + 5, -5*c + u*t + t + 1190 = 0. Suppose d = 1010 - c. Is d a prime number?", "a": "False" }, { "q": "Let k(n) = n**2 + n - 20. Let z be (-2)/3*(-189)/(-18). Let t be k(z). Let s(l) = 12*l + 1. Is s(t) composite?", "a": "True" }, { "q": "Suppose a - 26 = -a - 2*c, 0 = -5*a + c + 77. Let h = -78 - -40. Let x = a - h. Is x a prime number?", "a": "True" }, { "q": "Suppose 5*x + 1499 = 5954. Let f = 26 - 33. Is -4 - f/(7/x) composite?", "a": "False" }, { "q": "Let i(m) be the first derivative of m**5/20 - 5*m**4/4 - 7*m**3/2 - 13*m**2/2 + 9*m + 6. Let v(r) be the first derivative of i(r). Is v(18) composite?", "a": "True" }, { "q": "Let o = 50431 - -188760. Is o a composite number?", "a": "True" }, { "q": "Let y(u) = 41010*u**2 + 110*u + 111. Is y(-1) a composite number?", "a": "False" }, { "q": "Is 4/((-12)/9)*((-2244886)/21)/14 composite?", "a": "False" }, { "q": "Let n(f) = f**3 + f - 3. Let x(v) = 5*v**3 - 17*v**2 - 4*v - 31. Let b(u) = -6*n(u) + x(u). Suppose 0*k = -5*k - 90. Is b(k) a prime number?", "a": "True" }, { "q": "Let u(g) = 15039*g + 478. Is u(7) composite?", "a": "False" }, { "q": "Let a = -37556 + 80670. Is a a composite number?", "a": "True" }, { "q": "Is 1*(-6 - (-12)/3) - -2439 a prime number?", "a": "True" }, { "q": "Suppose 32*n - 12 = 28*n. Let s be 149345/28 - 1/(-4). Suppose 0 = n*x - s - 3969. Is x a composite number?", "a": "True" }, { "q": "Let v(b) = -b**2 + 8*b + 20. Let g be v(10). Suppose g = 93*x - 102*x + 26577. Is x a composite number?", "a": "False" }, { "q": "Suppose -59*u = -128*u + 570147. Is u composite?", "a": "False" }, { "q": "Let h be 11002*((-3)/3)/(-1). Suppose -5*b = 5*r - 9150 - 18370, -2*b = 4*r - h. Is b composite?", "a": "False" }, { "q": "Suppose 5*l - 592 = -152. Let r(g) = -3*g - 6. Let m be r(-5). Let y = l - m. Is y a prime number?", "a": "True" }, { "q": "Let o = -38 - -46. Let c(f) = 4*f**2 - 12*f - 16. Let r be c(o). Suppose r + 370 = 2*d. Is d prime?", "a": "True" }, { "q": "Let u be -2 - -6*(-2)/(-3). Suppose -6 = c - u*j, -c - 5*j + 9 = -2*j. Suppose c*a - 6*a = -2076. Is a prime?", "a": "False" }, { "q": "Let h(v) = -v**3 + 38*v**2 - 36*v - 38. Let p be h(37). Let n(d) be the third derivative of 107*d**5/30 + d**4/24 + d**2. Is n(p) a prime number?", "a": "False" }, { "q": "Suppose u + 12 = 4*h - 0*u, 0 = u. Suppose 0 = -h*q - 4 - 5. Is q/21*-551 + 6/21 a composite number?", "a": "False" }, { "q": "Let p(c) = -2658*c + 463. Is p(-2) a prime number?", "a": "True" }, { "q": "Suppose -10*x - 18*x + 122*x = 2553322. Is x prime?", "a": "False" }, { "q": "Suppose 5*t + 0*s - 2 = -s, -4 = 5*t - 2*s. Let q be (0/(-3) - t) + -425. Let v = -238 - q. Is v a composite number?", "a": "True" }, { "q": "Let a = -199467 + 325300. Is a a prime number?", "a": "False" }, { "q": "Suppose 0 = 4*o + 2*y - 8, -2*y = -4*o + 3 + 5. Suppose 1 = -k, 0 = -o*t + 4*k - 3*k + 63. Is t a prime number?", "a": "True" }, { "q": "Let x be -2*(10/(-4) + 4). Let d = x + 4. Is (d/(-4))/(12/(-23376)) composite?", "a": "False" }, { "q": "Suppose 3*f + 9076 = 5*k + 2047, 4*k - 7029 = 3*f. Let j = f + 4442. Is j a prime number?", "a": "True" }, { "q": "Let a be (10 - 11)/(2/82). Let k be (1 + a/2)*(-14)/3. Is (4/(-14) - (-115)/35) + k prime?", "a": "False" }, { "q": "Let h = -18824 - -38603. Suppose -7*g - h = -26*g. Is g a prime number?", "a": "False" }, { "q": "Let u = -1904 + -1241. Let n = 5198 + u. Is n a composite number?", "a": "False" }, { "q": "Let b be 1542*5/((-15)/(-8)). Let j be (2 - 460)/(10/45). Let t = b + j. Is t composite?", "a": "True" }, { "q": "Let s(r) = 43*r**2 + 19702. Is s(0) prime?", "a": "False" }, { "q": "Let t(o) = -159*o + 12. Let a(i) = 160*i - 11. Let m = -2 + -1. Let y(p) = m*t(p) - 4*a(p). Is y(-7) prime?", "a": "False" }, { "q": "Suppose -64*h + 87*h = 729514. Is h composite?", "a": "True" }, { "q": "Let p(j) = -125*j - 8. Let q(f) = f - 2. Let d(n) = -p(n) + 6*q(n). Is d(1) a prime number?", "a": "True" }, { "q": "Suppose 3*s - 18108 = -5*r, r - 3*r - 4*s + 7232 = 0. Suppose -3617 = u - 2*l, -5*u = -l + r + 14434. Let j = -2142 - u. Is j prime?", "a": "False" }, { "q": "Let w = -28 + 30. Suppose 0 = w*o - o + 3*z - 29, 25 = 5*z. Is (-10)/(-35) + 1242/o a prime number?", "a": "True" }, { "q": "Let r(n) = 4*n**3 - 5*n**2 - 8. Let w(o) = 4*o - 19. Let t be w(7). Is r(t) a prime number?", "a": "True" }, { "q": "Let k = 137200 - 80499. Is k a prime number?", "a": "True" }, { "q": "Let f = 101522 - 72513. Is f a composite number?", "a": "False" }, { "q": "Suppose -3*l - 4*o = -57154 - 18529, 2*l + 3*o = 50455. Is l a composite number?", "a": "False" }, { "q": "Suppose 0 = -3*j + 12, -j + 10 = 5*q - 9. Let x be 6*((-2)/(-8))/(q/6). Suppose -4*n = -x*t - 0*t - 5029, 3*n + 4*t - 3803 = 0. Is n a composite number?", "a": "True" }, { "q": "Let d(o) = -8956*o + 805. Is d(-8) a composite number?", "a": "True" }, { "q": "Suppose -12*z + 8050 = 6166. Is z a prime number?", "a": "True" }, { "q": "Suppose 33*z - 20826 - 411843 - 1744869 = 0. Is z a composite number?", "a": "True" }, { "q": "Suppose 47204 = 71*d - 923594 - 455379. Is d a prime number?", "a": "False" }, { "q": "Suppose 0 = -79*z - 1385366 + 452654 + 4726055. Is z a prime number?", "a": "True" }, { "q": "Let v = 6300 - 1558. Is v a composite number?", "a": "True" }, { "q": "Is -5 + (((-85758)/1)/(11 + -13) - 5) a prime number?", "a": "False" }, { "q": "Suppose -512778 = -3*v - 3*w, 10*v - w + 341849 = 12*v. Is v composite?", "a": "True" }, { "q": "Let t(d) = -d - 2. Let r be -1 + 0 - 1 - (1 - -2). Let o be t(r). Suppose -o*h = -0*w + 4*w - 133, 0 = -h - 2*w + 45. Is h a prime number?", "a": "True" }, { "q": "Suppose -5*z = 2*y - 6, -3*y + 9 = -3*z - 0*y. Is z + (-2)/12 - 38793/(-18) a prime number?", "a": "False" }, { "q": "Suppose 2*j = -5*g + 350247, -2*j - 3 = -5*j. Is g prime?", "a": "False" }, { "q": "Suppose 26*w - 43*w = -16*w - 1913. Is w prime?", "a": "True" }, { "q": "Let u(y) = 122*y - 1644. Let p be u(27). Suppose 3*g = 5*t + 35, -4*t + 8 = 4*g - t. Suppose 4*f = -0*f + 2*j + p, 3*f = g*j + 1248. Is f a composite number?", "a": "True" }, { "q": "Let m(x) = x**3 + 13*x**2 - 8*x - 11. Let n be m(15). Let f = 9651 - n. Is f prime?", "a": "False" }, { "q": "Let u(n) = 57*n - 13. Suppose 3*l = 3*g + 39, 2*g = -5*l + 3*g + 61. Suppose -f - 4*c = -30, -23 - l = -f - 5*c. Is u(f) a prime number?", "a": "True" }, { "q": "Suppose -4*z - 223350 = -2*c, -2*z = 47*c - 51*c + 446694. Is c composite?", "a": "True" }, { "q": "Suppose -111*h + 103*h = -2008. Is h prime?", "a": "True" }, { "q": "Suppose 0 = -5*s + 63*s - 304558. Is s a prime number?", "a": "False" }, { "q": "Suppose 28*w = -25*w + 62*w - 51741. Is w a prime number?", "a": "True" }, { "q": "Suppose -1 = 3*w - 2*j - 3, 5*j - 4 = 3*w. Is 2721 + (-8)/(w/1) + 4 a composite number?", "a": "True" }, { "q": "Suppose -x - 3*a = 4, 0 = -0*x + 2*x - 2*a + 8. Suppose 6*k - 19929 - 2139 = 0. Is ((-29)/(-87))/((x/k)/(-2)) a composite number?", "a": "False" }, { "q": "Let a = 25182 + 2919. Suppose 2*s - 3*k + 170 = 0, 0*s = 5*s - 5*k + 425. Is 2/5 - a/s a prime number?", "a": "True" }, { "q": "Let s(n) = 2*n**3 - 4*n**2 + 37. Let x be s(15). Let t = 9896 - x. Is t a composite number?", "a": "True" }, { "q": "Let h(c) = 86*c - 53. Let o = 118 - 106. Is h(o) composite?", "a": "True" }, { "q": "Let o = -31 - -28. Let a(t) = 84*t + 11. Let k(b) = -84*b - 10. Let x(d) = 5*a(d) + 6*k(d). Is x(o) prime?", "a": "False" }, { "q": "Is (-5 + 7)*(-291750)/(-20) + 4 composite?", "a": "False" }, { "q": "Suppose -4*g + 2*m + 10 = g, -3*g + 2 = -2*m. Suppose g*o + 23 = i, 5*i - 2*o + 19 = 44. Suppose 2*v = -i*v + 1285. Is v a composite number?", "a": "False" }, { "q": "Suppose 0 = -l - 5, -2*p + 2*l + 3*l = -19. Let m be (p/(-1) + 4/(-2))*3. Suppose -4535 = -2*w - m*w. Is w prime?", "a": "True" }, { "q": "Let t(c) = 8*c**2 - 9*c - 35. Let y = 125 + -131. Is t(y) composite?", "a": "False" }, { "q": "Let r = 24884 - 11575. Is r a composite number?", "a": "False" }, { "q": "Suppose -3*c + 2*d + 3901 = 0, d + 1 = 2*d. Suppose c = -6*h - 4597. Is h/(-2) + (-10)/20 composite?", "a": "False" }, { "q": "Suppose 10*g - 21133 = -0*g + 3*g. Is g composite?", "a": "False" }, { "q": "Let i = -11415 - -50408. Is i a composite number?", "a": "False" }, { "q": "Let d(b) = 12 + 25 - 44*b + 19*b + 73*b. Is d(34) composite?", "a": "False" }, { "q": "Suppose 3250 = c + 2*r, 2479 + 4009 = 2*c - 2*r. Suppose 2*v + c = x, 3*x = 3*v + 3532 + 6221. Let n = 4655 - x. Is n prime?", "a": "True" }, { "q": "Suppose -2*k + 3*t + 13 + 1 = 0, -3*k = 5*t - 2. Is (4 - -4385)/1 - k composite?", "a": "True" }, { "q": "Let f(z) = 5 + z - 53 + 133. Is f(-8) prime?", "a": "False" }, { "q": "Suppose 4*g - 6*m - 6972 = -4*m, -2*m = -g + 1740. Let v = 6071 - g. Is v a composite number?", "a": "False" }, { "q": "Let v = -196344 - -284807. Is v composite?", "a": "False" }, { "q": "Let s be (-12)/10*(7 - (-8 - -20)). Is 1/(s/(5636 + -2)) composite?", "a": "True" }, { "q": "Let v be (0 - 4) + 5 + -1. Suppose 2*j + 3*j - 15 = v, 0 = -3*t - 3*j + 4875. Let r = 2529 - t. Is r a prime number?", "a": "True" }, { "q": "Suppose 28135 = 15*k - 3800. Is k composite?", "a": "False" }, { "q": "Let m(r) = 54*r**2 - 10*r - 123. Is m(-23) a composite number?", "a": "True" }, { "q": "Suppose -x = -4*c + 763059, 30*x = 27*x + 3. Is c a prime number?", "a": "False" }, { "q": "Let v(w) be the first derivative of 437*w**4/4 + w**2/2 - w - 70. Is v(2) composite?", "a": "True" }, { "q": "Let y be (-497 - (-3 + -1))/1. Let c = 3177 + y. Suppose c = 3*g - v, 2*g - 3*g - 5*v + 900 = 0. Is g prime?", "a": "False" }, { "q": "Let s be (-8277)/5 + 3/((-60)/(-8)). Let w = s + 5754. Is w prime?", "a": "True" }, { "q": "Suppose 9*j - 2*j - 22168 = 73375. Is j a prime number?", "a": "True" }, { "q": "Let t be 697 - (4*-5)/4. Suppose 3*g - t = 2055. Is g prime?", "a": "True" }, { "q": "Let h = 10931 - 6192. Is h prime?", "a": "False" }, { "q": "Is (3885492/60)/(-13)*-5 prime?", "a": "True" }, { "q": "Suppose -42 = -4*g - 2*n, -10*n + 15*n = -4*g + 57. Suppose 0 = g*z - 6*z - 898. Is z a composite number?", "a": "False" }, { "q": "Let f(b) = -190*b - 314. Is f(-42) composite?", "a": "True" }, { "q": "Let m(j) = -30*j**2 - 2*j - 74. Let s be m(-7). Let t = s + 2471. Is t a composite number?", "a": "False" }, { "q": "Suppose 3*u + g - 28 = 0, g + 24 = 4*u - 11. Let b(t) = 5*t - 3*t + t + 17 + 5*t**2. Is b(u) a composite number?", "a": "False" }, { "q": "Let l = 1879 + 3649. Suppose -7*g + 3425 = -l. Is g prime?", "a": "True" }, { "q": "Let a be 949/65 - (-2)/5. Suppose -20*t = -a*t - 655. Is t prime?", "a": "True" }, { "q": "Let b be (-8)/20*5*-5. Is (-4)/b + 2066229/135 a composite number?", "a": "True" }, { "q": "Let u be (-3)/(27/6) - (-2)/(-6). Let b be -2*((3 - 953) + 1) - u. Suppose 0 = 4*v - v - b. Is v composite?", "a": "True" }, { "q": "Is (-15)/((-120)/566032) - 1/4*4 a composite number?", "a": "False" }, { "q": "Suppose 0 = -26*w + 7*w + 306888. Suppose -5*l = -x + 4047, -3*x + 2*l = x - w. Is x a composite number?", "a": "True" }, { "q": "Suppose -q = 2*u - 182957, -5*u + 479464 = 3*q - 69405. Is q a composite number?", "a": "False" }, { "q": "Let p(a) = -a**2 - 6*a + 10. Let m be p(-6). Let x be (42/10)/(m/2450). Suppose -4*o = 265 - x. Is o composite?", "a": "False" }, { "q": "Let c(i) = 332*i + 16. Let v = 17 + -5. Let w be c(v). Suppose -4*r + w = -2620. Is r prime?", "a": "False" }, { "q": "Let s = -1516 - -178. Let f = s + 3631. Is f a prime number?", "a": "True" }, { "q": "Let w(r) = 4*r**3 + 14*r**2 - 35*r. Let f be w(8). Is 10/4*f/60 a prime number?", "a": "False" }, { "q": "Let a(h) = 2619*h + 44. Let r be a(4). Suppose -r = -6*n + 8134. Is n a prime number?", "a": "True" }, { "q": "Let k(a) = -14*a + 2. Let m(f) = 2*f**2 + 9*f + 1. Let i be m(-6). Suppose 1 = -5*g - i. Is k(g) a composite number?", "a": "True" }, { "q": "Let l = 4 + -1. Let r(i) = -71*i**2 + 4*i + 43. Let a be r(9). Is (l/(-12))/(2/a) a composite number?", "a": "False" }, { "q": "Let o(c) = c**3 + 86*c**2 + 84*c - 92. Is o(-81) prime?", "a": "False" }, { "q": "Suppose -a - 6 = -3*a. Suppose -3*o + 227 = x, -a*x + 1 = -4*x. Suppose i - 73 - o = 0. Is i composite?", "a": "False" }, { "q": "Suppose 5*v + 2*f - 33092 = 3*f, 0 = 2*f + 4. Suppose 4*n - m - 6626 = 0, 2*n - 6*n + 5*m = -v. Is n a prime number?", "a": "True" }, { "q": "Suppose -57*p + 3*f = -60*p + 111807, 3*f = -4*p + 149074. Is p a composite number?", "a": "True" }, { "q": "Let b = 77 + -136. Let o be (176/132)/(1*(-1)/102). Let u = b - o. Is u a prime number?", "a": "False" }, { "q": "Let d = -156 + 162. Suppose -6*u + 2*u - 32 = 2*t, -2*u + 32 = -t. Is d/(-2)*376/t a prime number?", "a": "True" }, { "q": "Let l(s) = -17*s**3 - 22*s**2 - 303*s + 13. Is l(-15) a prime number?", "a": "True" }, { "q": "Let l(f) = -7042*f**3 + 8*f**2 + 14*f - 7. Is l(-2) composite?", "a": "False" }, { "q": "Suppose 0 = 4*n - 0*h - 4*h + 3500, -3*n - 2*h = 2605. Let m be 20325/(-10) - (-11)/((-66)/9). Let z = n - m. Is z a composite number?", "a": "False" }, { "q": "Let y(z) = -3*z**3 - 43*z**2 - 225*z + 98. Is y(-51) prime?", "a": "True" }, { "q": "Suppose 0 = 5*k + 2*v - 163621, -10160 = -3*k + 3*v + 88021. Suppose 2*i = 11365 + k. Is i composite?", "a": "True" }, { "q": "Suppose -3*i + i + 4*g + 1724 = 0, -3*g + 847 = i. Let c = i - 1204. Let u = c + 719. Is u a composite number?", "a": "True" }, { "q": "Let n be (-1)/4 - 75/(-12). Suppose 2*p + o - n*o = 6997, -2*p + 3*o + 7007 = 0. Is p composite?", "a": "False" }, { "q": "Is 942514/51 - 2/(-6) composite?", "a": "False" }, { "q": "Suppose 0 = -8*g + g + 42. Let w(u) = 95*u**3 + 5*u**2 - 12*u + 11. Is w(g) prime?", "a": "True" }, { "q": "Let i(f) = 7*f**2 + 21*f + 84. Let b(w) = 9*w**2 + 22*w + 83. Let m(j) = -3*b(j) + 4*i(j). Is m(22) a composite number?", "a": "False" }, { "q": "Let s be 92 - 91 - 1/(2/(-8)). Suppose 0*r + 1113 = 5*r + w, 0 = s*r + 2*w - 1111. Is r composite?", "a": "False" }, { "q": "Let q(g) = -6*g - 3. Let y = -23 + 22. Let h be q(y). Suppose 2 + 10 = h*l, 4*l - 207 = -s. Is s prime?", "a": "True" }, { "q": "Suppose 0 = -7*i - 0*i - 28. Is i/2 - (-8)/((-40)/(-3125)) a prime number?", "a": "False" }, { "q": "Let v(i) = 5*i**2 - 1 - 4*i**2 + 3 + 7*i. Let h be v(-7). Suppose -j = -0 - h. Is j a prime number?", "a": "True" }, { "q": "Suppose 0 = 22*g - 34*g + 12. Is ((-66162)/18)/(g/(-3)) composite?", "a": "False" }, { "q": "Suppose 5*i - 2*h = 20, -1 = -i + 5*h - 20. Suppose -9*w = -3*w - i. Let p = w - -2. Is p composite?", "a": "False" }, { "q": "Suppose -4*u - u + 3765 = 0. Suppose u = 6*s + 267. Suppose -l + s + 218 = 0. Is l a composite number?", "a": "True" }, { "q": "Suppose 146 = 5*y - 804. Let b = y - -914. Let o = 3155 - b. Is o a composite number?", "a": "True" }, { "q": "Suppose 6*a + 24 = 7*a. Let l = a - 16. Let j(h) = 24*h + 19. Is j(l) composite?", "a": "False" }, { "q": "Suppose 55*a - 500416 = 14*a + 1715183. Is a prime?", "a": "False" }, { "q": "Suppose -4*d - 8 = 0, 24*w - 25*w + 4*d = -30249. Is w a composite number?", "a": "False" }, { "q": "Let q(s) = -s + 13. Let x be q(6). Let t(r) = r - 4. Let z be t(x). Suppose -4*c = -z*c - 31. Is c prime?", "a": "True" }, { "q": "Suppose -26*m - 399698 = -30*m + 3*n, -2*n - 199850 = -2*m. Is m composite?", "a": "False" }, { "q": "Let u(p) = 61*p**2 + 40*p + 245. Is u(-8) prime?", "a": "False" }, { "q": "Suppose -11*h + 47581 = 13272. Let s = h - -816. Is s a prime number?", "a": "False" }, { "q": "Let a(j) = -191*j**3 + 132*j**2 - 18*j - 1. Is a(-8) prime?", "a": "False" }, { "q": "Let l = 11616 + 7885. Is l prime?", "a": "True" }, { "q": "Let g = 21992 + -12663. Suppose 6*q + 5*s + g = 9*q, 0 = 4*q - 5*s - 12447. Is q composite?", "a": "True" }, { "q": "Suppose -24*t = -29*t - 30. Is 3/t*5918*-1 a composite number?", "a": "True" }, { "q": "Suppose p + 3*k - 19703 = 0, 4*p + 3*k = 17854 + 60994. Is p a prime number?", "a": "False" }, { "q": "Suppose -4*b + 2 = 2*z, 3 = -3*z - 12. Suppose 0*c + 2*c - 26560 = p, -4*c = b*p - 53110. Is c/63 + 1 + (-14)/18 a prime number?", "a": "True" }, { "q": "Suppose 4*c + 45014 = 2*f, -90067 = -7*f + 3*f - 5*c. Is f composite?", "a": "True" }, { "q": "Let v(q) be the second derivative of q**6/18 + q**5/24 + 7*q**4/24 + 7*q**3/3 + 11*q. Let r(p) be the second derivative of v(p). Is r(-4) composite?", "a": "False" }, { "q": "Let n(w) be the second derivative of w**4/12 + w**3/2 + 3*w**2/2 - 5*w. Let l be n(0). Suppose -5*x + 1051 = -z - 0*z, 3*x + l*z = 645. Is x composite?", "a": "False" }, { "q": "Let s(b) be the third derivative of -b**6/120 - b**5/20 - 7*b**4/12 - b**3/6 + 45*b**2 + 2. Is s(-13) composite?", "a": "False" }, { "q": "Let n(j) = 4*j**2 - 2*j - 1. Suppose 2*r - 3*r = 0. Suppose r = -2*w + 6*w + 28. Is n(w) prime?", "a": "False" }, { "q": "Is ((-479718)/(-34))/3 + 15/(1020/(-8)) composite?", "a": "False" }, { "q": "Suppose 2*n = 5*y + 80, -3*n = -2*n - 3*y - 39. Let q be 10/n - 454/18. Is (-1)/5 - 3980/q prime?", "a": "False" }, { "q": "Let w(c) = c**2 - 3*c - 84. Let k be w(11). Let l(z) = -z**2 - 1. Let j(h) = 13*h**2 + 3*h + 2. Let d(p) = j(p) - 5*l(p). Is d(k) a prime number?", "a": "True" }, { "q": "Suppose -3*a = -3*s + 3737 + 1561, -a = -2*s + 3527. Is s composite?", "a": "True" }, { "q": "Suppose 5*s - 4*j = -0*j + 30, 3*j = -3*s - 9. Suppose 4*m = -2*a - 6, s*a = 2*m + 12 + 6. Let n(i) = 70*i**2 + i + 1. Is n(m) prime?", "a": "True" }, { "q": "Let n = 3 - -11. Let z be ((-18)/7)/(2/n). Is 4779/z*4/(-6) a prime number?", "a": "False" }, { "q": "Let o be 2/(-6 + 33964/5663). Let l(z) = 7*z**3 - 3*z**2 - 5*z - 8. Let m be l(6). Let a = m + o. Is a composite?", "a": "False" }, { "q": "Let x be -15*12/50*(-100)/(-30). Is ((-1)/(x/1576))/(2/33) prime?", "a": "False" }, { "q": "Let w be -3 + (-4)/22 + (-545950)/(-110). Suppose -w = -7*t + 1627. Is t a prime number?", "a": "True" }, { "q": "Let b(r) = 77*r**2 + 4*r + 1. Let c be 620/(-14) - (-1 - (-15)/21). Let o = c - -46. Is b(o) a composite number?", "a": "False" }, { "q": "Is 2333/((11/605)/(1/5)) a prime number?", "a": "False" }, { "q": "Let c(b) = 7937*b - 581. Is c(6) prime?", "a": "True" }, { "q": "Let b = -214 - 1873. Let f = 2976 + b. Is f a prime number?", "a": "False" }, { "q": "Let r = 3 + -18. Let y = 30 + -56. Is ((r/(-2))/(-1))/(13/y) composite?", "a": "True" }, { "q": "Let h(q) = -2*q - 18. Let m be h(16). Let t(z) = 2*z**2 - 9*z - 8. Let b be t(6). Is -1 + (6116/b - 20/m) a composite number?", "a": "True" }, { "q": "Let q(f) = -202*f**3 - f**2 + 4*f + 5. Let s = -39 - -38. Is q(s) prime?", "a": "False" }, { "q": "Is -8 + (-8595042)/(-78) - (22/26 - 1) prime?", "a": "False" }, { "q": "Suppose -21*m = -24*m + 18. Is (-7792)/(-24)*m/4 a composite number?", "a": "False" }, { "q": "Suppose -2*j = 3566 - 60484. Is j composite?", "a": "True" }, { "q": "Let r(w) be the second derivative of w**4/12 + 2*w**3/3 - 21*w**2/2 + 12*w. Let p be r(-7). Is (p - -1)*(-9444)/(-12) prime?", "a": "True" }, { "q": "Let b(h) = h**3 + 8*h**2 - 10*h - 3. Let d be b(-9). Let l(t) = 11 - t**3 + 4*t - 12*t**2 - t - d*t. Is l(-14) prime?", "a": "False" }, { "q": "Suppose 542*k - 492920 = 502*k. Is k a prime number?", "a": "True" }, { "q": "Let c = -44 - -46. Suppose -v = 1, j = -c*v - 8509 + 3172. Let z = -3290 - j. Is z a prime number?", "a": "False" }, { "q": "Let n(w) = 39015*w**2 - 11*w - 7. Is n(-1) composite?", "a": "False" }, { "q": "Let v(n) = 2*n**2 + n - 2. Let a be v(-2). Let u(l) be the third derivative of l**6/12 - l**5/15 - l**4/12 - 5*l**3/6 - 95*l**2. Is u(a) composite?", "a": "False" }, { "q": "Let h = -23444 - -39277. Is h a prime number?", "a": "False" }, { "q": "Suppose 5*w + 1568 = 2*t - 2063, -3622 = -2*t - 4*w. Let a = 3522 - t. Is a prime?", "a": "True" }, { "q": "Let h(v) be the first derivative of -3*v**2/2 - 8*v - 13. Let l be h(-4). Suppose -2*g + 54 = a + a, -l*a - 2*g = -100. Is a prime?", "a": "True" }, { "q": "Suppose 5*r = 4*z + 166612, -5*r + 0*z = z - 166622. Suppose -3*u = -5*c + r, 0*c - 19992 = -3*c + u. Is c a composite number?", "a": "True" }, { "q": "Is (-15)/(-6) - (9674021/(-14))/19 prime?", "a": "False" }, { "q": "Suppose -13*g - 6 = -19*g. Is ((-39)/9 + 4)*g*-1479 a composite number?", "a": "True" }, { "q": "Is -263*2/((-16)/8) prime?", "a": "True" }, { "q": "Let i be ((1 - 1)/4)/(-2). Suppose i = 4*n + 5*r - 16, 0 = -r - 0*r. Let p(z) = 4*z**2 - z - 5. Is p(n) a prime number?", "a": "False" }, { "q": "Suppose -16 - 41 = -3*a + 3*p, 0 = -4*a - 4*p + 100. Is (33/a - 3)*22652/(-6) composite?", "a": "True" }, { "q": "Suppose 2*q - 6*q = 12. Let s be (-29 - 1) + 1/1 + q. Let o = 54 + s. Is o prime?", "a": "False" }, { "q": "Suppose 0 = 2*u - 73 + 81. Is ((-2)/7 - u/14) + 4237 a composite number?", "a": "True" }, { "q": "Let s = 3221 - -10298. Is s composite?", "a": "True" }, { "q": "Suppose -118*k + 2679370 = -84*k. Is k prime?", "a": "False" }, { "q": "Let b = 24526 - 4203. Is b composite?", "a": "False" }, { "q": "Let i be 6/27 + (-48)/(-27). Suppose 0 = i*b - 2*h - 5010, -2*b - h + 4994 = h. Is b a prime number?", "a": "False" }, { "q": "Is ((-451108)/12 + 13)*(1 + 10/(-4)) composite?", "a": "False" }, { "q": "Suppose 3*o - 66655 = -5*s - 5784, 20257 = o - 5*s. Suppose -o - 22454 = -16*n. Is n a composite number?", "a": "False" }, { "q": "Let w = -682 + 1139. Suppose 5*u - 21462 + w = 0. Is u composite?", "a": "False" }, { "q": "Let w(n) = -145*n + 13. Let u(q) = 3*q + 5. Let b be u(-4). Let d be w(b). Suppose -o = 3*o - d. Is o a prime number?", "a": "True" }, { "q": "Is (-50)/175 + (6 - 3 - 1694508/(-14)) a prime number?", "a": "True" }, { "q": "Let q be (-1 - 0)/((-6)/30). Suppose 3*n + 0*c - 1894 = c, -q*n = 2*c - 3153. Is n a prime number?", "a": "True" }, { "q": "Let b(m) = 47*m**3 + 6*m**2 + 13*m - 23. Is b(10) a composite number?", "a": "True" }, { "q": "Let g(k) = 2021*k**3 + k**2 - 5*k + 4. Suppose -6*s - 7 = -3*s + 2*b, -5*b = s + 24. Is g(s) prime?", "a": "False" }, { "q": "Suppose 5*n - v = 8460, -3*v - 74 = -2*n + 3297. Is n a composite number?", "a": "False" }, { "q": "Is (7 + 0 - 15) + 51751 prime?", "a": "False" }, { "q": "Let y be -10*(9/(-6))/3. Let f = 18 + -14. Suppose 4*c + 466 = y*c + f*m, -4*m - 12 = 0. Is c a prime number?", "a": "False" }, { "q": "Suppose 20*s - 16*s + 10 = -2*f, s + 5 = 2*f. Is f/(-2 + (-24543)/(-12273))*-3 composite?", "a": "True" }, { "q": "Let s be (-24)/11 + 2 - 40/22. Let v be (-3)/((s + 5)*2/(-4)). Suppose -2*y + 1652 = v*y. Is y composite?", "a": "True" }, { "q": "Let d(w) = w + 34. Let s be d(-19). Is ((-75528)/s)/(-6) + (-2)/10 a composite number?", "a": "False" }, { "q": "Let q(z) = -50*z - 9. Let c(o) = 2*o - 3. Let f be c(4). Let g = -1 - f. Is q(g) a prime number?", "a": "False" }, { "q": "Let t be (1 + 8/8)/(2/8). Suppose 0 = t*o + 6*o - 7742. Is o composite?", "a": "True" }, { "q": "Suppose 0 = 2*f + 8, z - 12*f - 27099 = -17*f. Is z prime?", "a": "False" }, { "q": "Let b be (96/(-2))/(-3) - -1. Let d = -12 + b. Suppose 3*i + 3*z + 0*z = 963, -d*i = z - 1589. Is i a prime number?", "a": "True" }, { "q": "Suppose -4*d + 9435 = p - 19254, -28691 = -p - 3*d. Is p a composite number?", "a": "False" }, { "q": "Suppose 0 = 4*v - 2*v - 8. Let b be (-2)/(-7) + v*106/(-14). Is (380/b)/(-1*1/3) prime?", "a": "False" }, { "q": "Is 2 + 1 + -6 - (-36341 - 7) - -4 prime?", "a": "False" }, { "q": "Suppose -3*c - 2*f = -7, 4*f = 5 + 15. Is (202452/30)/((-6)/15*c) a prime number?", "a": "True" }, { "q": "Suppose 5*p - 3*u = p + 69122, -5*p + 5*u + 86400 = 0. Is p a composite number?", "a": "True" }, { "q": "Let v be (4 - (-39)/(-6))*(1 - -1). Let m be v/40*-5410 - 1/4. Suppose -4*j + 9*j + m = h, 3*h - 5*j - 2038 = 0. Is h composite?", "a": "True" }, { "q": "Let n(h) = -3*h + 24. Let t be n(-11). Let x = -45 + t. Let l(f) = 5*f**2 + 16*f - 14. Is l(x) a prime number?", "a": "False" }, { "q": "Suppose 0 = -13*a + 8*a. Suppose g - t - 1081 = a, 5*g + 2*t + 1596 = 7001. Is g composite?", "a": "True" }, { "q": "Suppose 34019 = 18*y - 16*y + 5*t, 2*y + 2*t = 34010. Is y a prime number?", "a": "False" }, { "q": "Is -1 - 6 - (-2 - 25 - 157425) composite?", "a": "True" }, { "q": "Let m(d) = 8*d**3 + 421*d**2 - 16*d + 13. Is m(-34) a prime number?", "a": "True" }, { "q": "Let n = 2663 - 1198. Is n composite?", "a": "True" }, { "q": "Let l(v) = -v**3 + 22*v**2 + 9*v - 12. Let b(r) = -4*r - 14. Let p be b(-8). Let f be l(p). Let y = f + -415. Is y prime?", "a": "True" }, { "q": "Let s(u) = 167*u**3 + 8*u**2 - u - 2. Let d(t) = -333*t**3 - 18*t**2 + 3*t + 3. Let a(z) = 3*d(z) + 7*s(z). Is a(3) a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*b + 5*b + 3. Let p be (-6 - b)*(-4)/3. Is ((-14971)/22)/((-2)/p) a composite number?", "a": "False" }, { "q": "Suppose 8*d - 13*d + 5 = 0. Let g be (1/(-2))/(d/4)*-1305. Is (6/(-21) + g/(-28))*-2 prime?", "a": "False" }, { "q": "Let x(k) = -6946*k + 221. Is x(-3) a prime number?", "a": "True" }, { "q": "Is 1 + 30/(-26) - (-16 + 1827630/(-78)) composite?", "a": "False" }, { "q": "Let k(c) = 159*c**2 - 6*c + 4. Let z(y) = 2*y**2 - y + 1. Let x(l) = k(l) + 2*z(l). Is x(-5) a composite number?", "a": "True" }, { "q": "Let z = -14256 + 9243. Is ((-12)/18)/(6/z) a composite number?", "a": "False" }, { "q": "Let w(y) = 447*y - 45. Let m be w(5). Let n = -367 + m. Is n composite?", "a": "False" }, { "q": "Suppose 16*p + 40351 = 3103. Is 2 + (2 - 3) - (p - 4) a composite number?", "a": "False" }, { "q": "Let d(o) = -72 - 62 + 109 + 16*o**2 + 52*o - 3*o**2. Is d(22) a composite number?", "a": "False" }, { "q": "Let i be 11687 + (2 - 8) - -6. Suppose 2*a - 388 = -h + 5455, 3*h - i = -4*a. Is a a composite number?", "a": "True" }, { "q": "Suppose -4*l + 5*p = 32421, -4*l - 2*p - 22703 = 9711. Let f = l - -11511. Is f a prime number?", "a": "True" }, { "q": "Let m be (4/16)/((-2)/(-60))*-2. Let j(n) = -n**3 - 13*n**2 + 8*n + 7. Is j(m) a prime number?", "a": "True" }, { "q": "Suppose 0 = -0*l + l - 33073. Suppose 9*y - 1316 = l. Is y a prime number?", "a": "True" }, { "q": "Let w = -24853 - -110840. Is w prime?", "a": "False" }, { "q": "Suppose 9*u + 5*u = 14. Is (-7 - -3210)/(u - 0) a prime number?", "a": "True" }, { "q": "Let m be ((-13380)/14)/(14/(-49)). Let f(k) = k - 6. Let l be f(6). Suppose 5*s + l*h - m = 5*h, -4*h + 3381 = 5*s. Is s a prime number?", "a": "True" }, { "q": "Suppose 2*r - 2*j = -4*j + 22860, 5*j - 11438 = -r. Suppose 9146 = 4*c + z - 3*z, -5*c + z = -r. Is c a composite number?", "a": "True" }, { "q": "Let d = 194840 + -103869. Is d composite?", "a": "False" }, { "q": "Let x(k) = k**2 + 4*k + 12. Let d be x(0). Suppose 11*j - d*j = -2153. Is j composite?", "a": "False" }, { "q": "Suppose 7*k - 6*k + 19 = 0. Let y = k - -2. Let l = 320 - y. Is l a prime number?", "a": "True" }, { "q": "Suppose -x = -2*x + 1, -44 = -h + 4*x. Suppose 5*a - 4*p - 297 = 0, 0*a + a = -3*p + h. Suppose 5*g = 4*g + a. Is g prime?", "a": "False" }, { "q": "Is 458989/8 + 1 + 1/8*-5 prime?", "a": "False" }, { "q": "Let y = -51 - -36. Is 18/y - 18837/(-35) composite?", "a": "True" }, { "q": "Let j be (-5035)/(-40) - 2/(-16). Let x = 686 + j. Suppose 0*t + x = 4*t. Is t a composite number?", "a": "True" }, { "q": "Suppose 5*b - 56 - 4 = 0. Let j(r) = -6*r + 11 - r**3 + 38*r**2 - 25*r**2 + 0*r. Is j(b) prime?", "a": "True" }, { "q": "Let p be (147/(-4))/(-3) + (-18)/(-24). Let i(g) = 3*g**2 + 6*g - 2. Let d be i(p). Suppose -3*z = -2*z - d. Is z composite?", "a": "True" }, { "q": "Suppose 2373*b - 2367*b - 703662 = 0. Is b prime?", "a": "False" }, { "q": "Suppose -s + 2*i - i = 12, 3*i + 36 = -3*s. Let c(w) = -47*w + 23. Let f(x) = -90*x + 46. Let m(r) = 7*c(r) - 3*f(r). Is m(s) a prime number?", "a": "False" }, { "q": "Let f(g) = 35118*g**2 + 5. Is f(-3) a prime number?", "a": "True" }, { "q": "Let h(b) = -5*b**2 - 2*b**2 - 2*b**2 + 13*b + 8*b**2 + 14. Let t be h(14). Suppose -681 = -5*s + 5*j + 124, 5*s + j - 805 = t. Is s a prime number?", "a": "False" }, { "q": "Let c = -65 + 59. Is 2175/7 - c/21 a prime number?", "a": "True" }, { "q": "Suppose 3*y = -3*v, 0 = -4*y + 9*y - 10. Is (8 - 2)*(1 - 629/v) prime?", "a": "False" }, { "q": "Suppose -37*h - 430924 = -39*h. Suppose 13*q + 13*q = h. Is q prime?", "a": "True" }, { "q": "Suppose 60*a - 58*a = -6. Let r be (-6)/(-27)*a - 104/(-12). Suppose r*z = 62 + 714. Is z composite?", "a": "False" }, { "q": "Let q = -23 + 17. Let g(k) = 297*k - 3. Let c(f) = -f. Let u(v) = q*c(v) - g(v). Is u(-4) prime?", "a": "False" }, { "q": "Suppose -3*t = 3*t - 33204. Suppose g - 3*x - 5520 = -2*g, -4*x = 3*g - t. Suppose 3*r - 2541 = g. Is r a prime number?", "a": "False" }, { "q": "Let n = 7 + -19. Is 878/4 + 9 + 90/n a composite number?", "a": "True" }, { "q": "Is (-2 - (-14 - -13))/((-3)/130353) a prime number?", "a": "True" }, { "q": "Suppose -4*o + 5*o + 4 = 0, -2*o + 299316 = 4*d. Is d a prime number?", "a": "True" }, { "q": "Let x = -96 + 101. Is (-57159)/(-15) + 2/x a prime number?", "a": "False" }, { "q": "Let f be (18/9)/(2/(-236)). Let b = 413 + f. Suppose j + 2*k = -3*j + 718, j - 2*k = b. Is j composite?", "a": "False" }, { "q": "Let p(r) = 13 - 256*r + 580*r + 264*r. Suppose 0 = -3*k + 9 - 0. Is p(k) composite?", "a": "False" }, { "q": "Let p = 8349 - -7639. Let b = -11351 + p. Is b a composite number?", "a": "False" }, { "q": "Suppose -6*l = -5*l - 48. Suppose -2*a = -s - l, -40 = -2*a - 0*a - s. Is (-2 + (-655)/2)*a/(-11) a prime number?", "a": "True" }, { "q": "Let i = -160 - -168. Suppose i*p = -3*p + 59917. Is p a prime number?", "a": "False" }, { "q": "Let b(l) = 101*l - 84. Let d be b(3). Suppose 0*p = 3*p - 1734. Suppose -o + p = -d. Is o a prime number?", "a": "True" }, { "q": "Let j(g) = 3*g + 62. Let p be j(-14). Is (3 - 4255/p)*-4 a composite number?", "a": "False" }, { "q": "Suppose -484815 = 5*g - j - 1494900, 5*j = -g + 202017. Is g prime?", "a": "False" }, { "q": "Let w(j) = -j**3 + 13*j**2 + 11. Let s(a) be the third derivative of a**5/60 + a**4/24 + a**3/3 - 6*a**2. Let f be s(2). Is w(f) a prime number?", "a": "True" }, { "q": "Let w = -23 + 19. Let k = 4 + w. Suppose 5*u = -2*b + 2211, 0 = -3*u + b - k*b + 1331. Is u a composite number?", "a": "False" }, { "q": "Let d be 247 + 11 + ((-2)/(-2) - 0). Suppose 347 = 5*g + 4*o, -4*g + 8*o + d = 5*o. Is g prime?", "a": "True" }, { "q": "Let p be 36/(-21) + 2 + 36/21. Is (-11)/(11/(-14277)) + p + 2 composite?", "a": "False" }, { "q": "Let q(j) be the third derivative of 571*j**4/24 - j**3/6 + 66*j**2. Let p be -2*(-2)/(-4)*-2. Is q(p) prime?", "a": "False" }, { "q": "Let n(f) = f. Let h be n(4). Let i be (-2)/h*(-26 + 2). Suppose i*r = 16*r - 88. Is r a composite number?", "a": "True" }, { "q": "Let p = -96502 - -224463. Is p composite?", "a": "True" }, { "q": "Suppose 49*r = 1036042 + 3834117. Is r composite?", "a": "False" }, { "q": "Let l be (-1953)/6*(-8)/(-6). Is l/(-10)*35/(7 + 0) prime?", "a": "False" }, { "q": "Let o = 120 + -118. Suppose 0 = 3*u - 2*m + 5*m - 4962, -o*u + 4*m = -3326. Is u a composite number?", "a": "False" }, { "q": "Suppose 0 = -5*i - 6*i + 44. Suppose j - 5437 = 2*z + 150, -i*j + 22370 = 3*z. Is j prime?", "a": "True" }, { "q": "Suppose 5*k = -2*d + 411, -k - 168 = -2*d + 273. Suppose -3*f = 5*o - 646, f + 2*o = o + d. Suppose -f = -h + 391. Is h a composite number?", "a": "False" }, { "q": "Let o be ((-6)/9*19)/((-10)/15). Suppose 7*s - 7618 = -o*s. Is s prime?", "a": "True" }, { "q": "Suppose -23 = -3*s + 10. Let u(t) = -t**3 + 13*t**2 - 6*t + 1. Let x be u(s). Suppose -x = 17*v - 20*v. Is v a composite number?", "a": "False" }, { "q": "Let x(l) = 3*l**2 - 9*l + 19. Suppose 0 = 3*b + 2*w - 3, 2*b + 3*b = -2*w + 5. Let c(f) = -f**2 - f - 1. Let v(z) = b*x(z) - 2*c(z). Is v(6) a composite number?", "a": "True" }, { "q": "Let z(y) = 7*y**3 - 39*y**2 + 133*y + 6. Is z(23) composite?", "a": "True" }, { "q": "Let v be 1 - 698/(-2 - -3). Let a = 2206 - v. Is a composite?", "a": "False" }, { "q": "Suppose -4*p + p - 4*o + 38 = 0, 0 = -2*p + 3*o - 3. Is 2199 - (-3 + (-6)/p) a composite number?", "a": "False" }, { "q": "Let j = -4454 - -2628. Let o = j + 2835. Is o prime?", "a": "True" }, { "q": "Let i be 0 + (0 - (570 - (-1 + -1))). Let l = 153 + i. Let c = l + 876. Is c a prime number?", "a": "True" }, { "q": "Let u = 42 - 58. Let w(m) = -m**3 - 16*m**2 + m + 15. Let n be w(u). Is (-1042)/(-3) + n/3 a prime number?", "a": "True" }, { "q": "Let n(y) = 54*y**2 + 31 - y**3 - 4 + 54*y**2 + 2*y - 118*y**2. Is n(-16) prime?", "a": "True" }, { "q": "Let a(t) = -3*t + 41. Let k be a(6). Suppose 56092 + 393121 = k*b. Is b a composite number?", "a": "False" }, { "q": "Let k = -60 + 52. Let n(w) = w + 7 + 2*w**2 + 2*w - 4*w. Is n(k) a composite number?", "a": "True" }, { "q": "Is ((-14)/(-77) - 14/(-44))/((-1)/(-27034)) a prime number?", "a": "False" }, { "q": "Suppose -14*g = -263025 - 90377. Is g a composite number?", "a": "False" }, { "q": "Suppose h - 5*h = 2*o + 22, 4*h - 3*o = -7. Is -8 + 1180/35 + h/(-14) a prime number?", "a": "False" }, { "q": "Let z = 23821 + 67366. Is z a composite number?", "a": "True" }, { "q": "Let f = -31 - -33. Suppose f*o - 22*r - 1065 = -27*r, 2*r = o - 537. Is o a prime number?", "a": "False" }, { "q": "Let c(n) = 200*n**3 + 8*n**2 - 33*n + 8. Is c(3) a composite number?", "a": "False" }, { "q": "Suppose 4*l + i + 31 + 4 = 0, -2*i + 2 = -l. Let g be 1998/l*16/(-6). Suppose 5*y - 589 - g = 0. Is y a prime number?", "a": "True" }, { "q": "Let s(h) = h**2 - h + 1. Let u(v) = 15*v**2 + 11*v - 10. Let l(z) = 5*s(z) + u(z). Is l(2) composite?", "a": "True" }, { "q": "Is 30941 + (0/7 - 7) - 5 composite?", "a": "True" }, { "q": "Let r(o) = -7*o - 54. Let g be r(-10). Suppose -v = -g*v + 44025. Is v a prime number?", "a": "False" }, { "q": "Let t be -9*(0/(-2) - 1). Let k(d) be the first derivative of d**4/4 - 2*d**3/3 - 4*d**2 + 6*d + 80. Is k(t) composite?", "a": "True" }, { "q": "Let u = -1044 - -1481. Suppose 198 = 5*v - u. Is v a prime number?", "a": "True" }, { "q": "Let r = 234 - 152. Suppose 78*y + 53228 = r*y. Is y prime?", "a": "False" }, { "q": "Suppose 5*b + 2880760 = 38*b + 7*b. Is b composite?", "a": "False" }, { "q": "Let x be (-3 + 7/2)/((-5)/10). Is (x/(-1))/(-2)*(9 + -33895) a prime number?", "a": "True" }, { "q": "Let t(j) be the first derivative of 49*j**5/60 - 5*j**4/24 + 2*j**3 - 7. Let c(p) be the third derivative of t(p). Is c(21) prime?", "a": "True" }, { "q": "Is (-10073)/(-49) - 3/(-7) composite?", "a": "True" }, { "q": "Let j(s) = -4*s + 108. Let q be j(26). Suppose -q*h = 480 - 5336. Is h a prime number?", "a": "False" }, { "q": "Let z(x) be the second derivative of 41*x**4/12 - 8*x**3/3 - 11*x**2/2 + 67*x. Is z(-6) a composite number?", "a": "True" }, { "q": "Let m(r) = r**2 + 17*r - 89. Is m(31) composite?", "a": "False" }, { "q": "Let a = 7010 + 58997. Is a composite?", "a": "True" }, { "q": "Suppose 12 = -4*p - 12. Let q = -631 - -604. Is 2/p - 12942/q composite?", "a": "False" }, { "q": "Suppose 0 = 5*p - w - 6299, -3769 = -6*p + 3*p - 2*w. Is p prime?", "a": "True" }, { "q": "Suppose -3*y = 2*p - 74980, 0 = 4*p + y - 103838 - 46112. Is p a prime number?", "a": "False" }, { "q": "Let o = 13 + -7. Is (3 + -5)/(o/(-3117)) prime?", "a": "True" }, { "q": "Suppose -92*a = -96*a + 4788. Let t = a - -4. Is t composite?", "a": "False" }, { "q": "Let a(w) = w**3 - 2*w**2 - 24*w + 23107. Is a(0) prime?", "a": "False" }, { "q": "Suppose 5*g - 9*g - 59031 = -3*q, -5*q = 2*g - 98359. Is q prime?", "a": "False" }, { "q": "Let u = 35844 + 34579. Is u prime?", "a": "True" }, { "q": "Let j(s) be the third derivative of 7*s**6/3 + s**5/40 + s**4/12 + s**3/3 - 3*s**2. Let g(o) be the first derivative of j(o). Is g(-1) composite?", "a": "False" }, { "q": "Let k = 43 - 36. Suppose -4*m + 2*f = k*f + 914, 3*f + 458 = -2*m. Let q = m - -411. Is q a composite number?", "a": "True" }, { "q": "Let p = -83 + 86. Suppose -p*x - 2267 = -6314. Is x a prime number?", "a": "False" }, { "q": "Let y = -2 - -2. Suppose -v - 12 = 3*t, y*t - 4*t - 16 = -5*v. Suppose q + 3*p = 191, -4*q + 4*p = -v*p - 732. Is q prime?", "a": "False" }, { "q": "Let j = 122 + -122. Suppose 0 = -j*i + i - 1651. Is i a prime number?", "a": "False" }, { "q": "Let r = -2336 - -5007. Is r prime?", "a": "True" }, { "q": "Is (1/8)/(4/449528) + (-72)/96 prime?", "a": "False" }, { "q": "Suppose 0 = -10*f + 8*f + 8. Suppose -2*c = -2*y + 3702, -2*c + 3809 = f*y - 3571. Is y a composite number?", "a": "False" }, { "q": "Let p = 9 - 6. Let x = 3 + p. Is (-3 + (-304)/(-6))/(2/x) prime?", "a": "False" }, { "q": "Let s(a) = 299*a + 10. Suppose b - 2*b - 1 = -g, 2*b = -4*g + 16. Suppose -5*z + 22 = -c, -2*c = -b*z + 1 + 3. Is s(c) a composite number?", "a": "False" }, { "q": "Let y(l) = -98*l**3 - 5*l**2 + 74*l - 20. Is y(-9) composite?", "a": "False" }, { "q": "Let m(b) = -7*b**3 + 8*b**3 - 8*b**2 + 3*b + 3*b**2. Let c be m(5). Suppose c*d - 18*d + 1749 = 0. Is d a prime number?", "a": "False" }, { "q": "Let u = -44415 + 80744. Is u prime?", "a": "False" }, { "q": "Let s be (-2 - 1) + 4/2. Is s*(47644/(-8) + 4)*2 a composite number?", "a": "False" }, { "q": "Suppose 108075 = -38*s + 113*s. Is s prime?", "a": "False" }, { "q": "Suppose -5*s - 3*m + 8 = 0, 5*s - 4 = -m + 2. Let c(o) be the second derivative of 109*o**3/2 + o**2 + o. Is c(s) prime?", "a": "False" }, { "q": "Let g = -88734 - -194083. Is g composite?", "a": "True" }, { "q": "Suppose -3*t + 1160 + 3813 = o, 0 = 2*t + 3*o - 3320. Is t composite?", "a": "False" }, { "q": "Suppose -2*y = -5*j - 1297, 291*y - 2*j = 294*y - 1917. Is y a prime number?", "a": "True" }, { "q": "Let b(a) = -203*a**3 - 14*a**2 - 3*a + 33. Is b(-8) a composite number?", "a": "True" }, { "q": "Let s(v) = v**3 - 12*v**2 + 26*v + 76. Is s(19) composite?", "a": "True" }, { "q": "Suppose -202 = -n - 2*d, -3*n + 5*n - d = 429. Suppose -1 = -3*i + 5*s, 2*i = -2*i - 2*s + 10. Suppose -534 - n = -i*v. Is v composite?", "a": "False" }, { "q": "Let y(n) = 16*n**3 + 2*n**2 - 15*n - 11. Is y(8) prime?", "a": "False" }, { "q": "Let c(l) = 130*l + 225731. Is c(0) a composite number?", "a": "True" }, { "q": "Suppose -1244 = -5*s - 4*i + 417, 0 = 3*i + 3. Let w = s - 131. Suppose 2*v + 2*c - 18 = w, 2*c = 3*v - 355. Is v composite?", "a": "True" }, { "q": "Let q(j) be the second derivative of -j**4/12 - 17*j**3/6 + 22*j**2 - 17*j. Let b be q(-19). Suppose -2229 - 1053 = -b*h. Is h a prime number?", "a": "True" }, { "q": "Suppose -116 = -2*h - 2*y, 2*y - 64 = -h + 7*y. Suppose -4*w + 4*t + h = -437, -w = -3*t - 134. Is w prime?", "a": "False" }, { "q": "Is -8 + 6 - 35/(-2)*(-28230)/(-5) prime?", "a": "False" }, { "q": "Let r(v) = 12412*v**2 + 112*v + 7. Is r(-2) a composite number?", "a": "True" }, { "q": "Let x be -5*(2 - (-999)/(-5)). Suppose -2*b - 9 = -5*b. Suppose b*f - x = 2*f. Is f prime?", "a": "False" }, { "q": "Suppose -5*r + 171407 = 2*o, -3*r - 16498 - 326251 = -4*o. Is o a composite number?", "a": "False" }, { "q": "Let r(y) = 352*y - 1459. Is r(38) prime?", "a": "False" }, { "q": "Let l = 86 + -84. Is -13 + 11 + 10903 + l composite?", "a": "False" }, { "q": "Let o(q) = -q**3 - 5*q**2 + 7*q + 32. Suppose 3*f + 2*p + 31 = 0, f + 3*p + 13 = p. Is o(f) prime?", "a": "True" }, { "q": "Suppose -2*l - 680 = -4*l + 2*z, 3*l + z = 1020. Suppose l*g + 9235 = 345*g. Is g a composite number?", "a": "False" }, { "q": "Suppose 0 = -4*n - 4*d + 4, n + 4*d - 1 + 3 = 0. Let j(o) be the third derivative of 31*o**4/8 + 5*o**3/6 - 5*o**2 + 16. Is j(n) a composite number?", "a": "False" }, { "q": "Is (-3)/(-3)*(-1 + 37568 - -10) a composite number?", "a": "True" }, { "q": "Let o(y) = 26631*y**2 + 23*y - 49. Is o(2) a prime number?", "a": "False" }, { "q": "Suppose -4*j + 28 = 4*i, -3*i - 1 = -5*j + 10. Suppose 3 = s + v - 3, 0 = -i*v + 6. Suppose -5*h + s*h = -635. Is h a prime number?", "a": "False" }, { "q": "Let g(f) = -9*f**3 - 2*f**2 + 7*f + 11. Let y be g(5). Let d = y + 3462. Is d composite?", "a": "False" }, { "q": "Let q(u) = -16011*u + 7 + 16011*u + 811*u**2. Is q(2) prime?", "a": "True" }, { "q": "Suppose -89*d + 94*d - 5*c - 127720 = 0, -25574 = -d - 5*c. Is d a prime number?", "a": "False" }, { "q": "Let f(y) = 12*y**2 - 5*y + 3. Let b be f(2). Let r = b - -440. Is r a prime number?", "a": "False" }, { "q": "Let s(d) = 2668*d**2 - 28*d + 2. Is s(-4) a prime number?", "a": "False" }, { "q": "Let f(r) = 23*r**2 - 13*r - 29. Let k(l) = -3*l - 49. Let b be k(-21). Is f(b) a composite number?", "a": "False" }, { "q": "Let z = -1989 + 6956. Is z a composite number?", "a": "False" }, { "q": "Let q be 2*(-2)/(-12)*6. Is (-4)/q*3/((-30)/12515) a composite number?", "a": "False" }, { "q": "Let d = -28 + 34. Let n(f) = 151*f + 2 - 129*f + d. Is n(5) a prime number?", "a": "False" }, { "q": "Let c = 122 - 133. Is c/(33/18) - -1088 prime?", "a": "False" }, { "q": "Let z = 93691 + -12546. Is z composite?", "a": "True" }, { "q": "Let n be (14/8)/(1/4 - 0). Let k(x) = 119*x - 36. Is k(n) prime?", "a": "True" }, { "q": "Let o = 94665 + -67258. Is o prime?", "a": "True" }, { "q": "Let i = 403 - 96. Suppose -4*q - i = u - 2*u, -4*q - 1264 = -4*u. Suppose 9*z = u + 1940. Is z prime?", "a": "True" }, { "q": "Let u = -17204 - -37915. Is u composite?", "a": "True" }, { "q": "Let n(t) = 57*t - 58. Let i be n(25). Suppose 3*x = -w + 5*x + 449, i = 3*w - x. Is w prime?", "a": "True" }, { "q": "Suppose 19*w - 21*w = -5*q + 198213, 0 = -3*q - w + 118930. Is q a composite number?", "a": "True" }, { "q": "Suppose -2*b + p + 148149 = 0, -370380 = -166*b + 161*b + p. Is b composite?", "a": "False" }, { "q": "Suppose -3*h + 2*h = 5, -4*h + 10434 = i. Let t = i + -7182. Suppose g + 3*g = t. Is g a composite number?", "a": "True" }, { "q": "Let z = -59857 + 108926. Is z composite?", "a": "False" }, { "q": "Suppose 0*h - 2*z = 4*h - 314544, 4*h - 314546 = -3*z. Is h a prime number?", "a": "False" }, { "q": "Let b(o) = 6*o + 30. Let w be b(-7). Is ((27/w)/3)/((-2)/13768) a composite number?", "a": "True" }, { "q": "Suppose 0 = 5*x - x - 20. Let g be -7 - 22/(-33)*5634/4. Suppose 9*r = -x*q + 4*r + 950, -5*q = -r - g. Is q composite?", "a": "True" }, { "q": "Let j(u) = -2*u + 26. Let q be j(13). Suppose 5*y - t - 3*t - 1103 = q, 4*y - 2*t - 886 = 0. Suppose 0 = -5*n - 3*b + y, 2 = 2*b + 10. Is n composite?", "a": "False" }, { "q": "Suppose 0 = -4*g + 16 - 0, 2*l + 4*g - 22 = 0. Is (-17966)/(-1) + (2 - l) a composite number?", "a": "True" }, { "q": "Let x = -17 - 332. Let u = 2578 - x. Is u a prime number?", "a": "True" }, { "q": "Let m = 1001 + -324. Suppose -2*o - 473 = -t, 0 = -3*o - 5*t - 0*t - m. Let s = 352 + o. Is s prime?", "a": "False" }, { "q": "Let i = -77 + 80. Suppose 5*t - 8238 = -i*r, -1699 = -3*r + 5*t + 6509. Is r a prime number?", "a": "True" }, { "q": "Is 280/(-70)*13198/(-8) prime?", "a": "True" }, { "q": "Let q = 63176 - 29745. Is q composite?", "a": "True" }, { "q": "Let k = -57519 + 98834. Is k a prime number?", "a": "False" }, { "q": "Suppose 2*k - 9*l - 92629 = 0, 2*k + 5*l - 103433 = -10846. Is k composite?", "a": "False" }, { "q": "Let l = -204315 - -332078. Is l composite?", "a": "False" }, { "q": "Let k be (-13906)/6 + ((-19)/3 - -7). Let l = k + 5808. Is l composite?", "a": "False" }, { "q": "Let k be -6 + (1 - -1) + 4. Let s be (-7 + 1262)*(k - (-36)/15). Suppose -2*y - 4*y = -s. Is y a composite number?", "a": "True" }, { "q": "Let u(i) = 842*i**2 - 40*i - 221. Is u(11) a prime number?", "a": "True" }, { "q": "Let w(d) = d**2 - d - 2. Suppose 2*m + 9 = -5. Let h be w(m). Suppose -61 = -5*j - 2*s, h - 19 = 3*j + 2*s. Is j composite?", "a": "False" }, { "q": "Let d = 15979 + 57840. Is d a composite number?", "a": "False" }, { "q": "Let b = -377 - -1342. Let d(p) = 6*p**2 + 5*p + 2. Let y be d(6). Suppose l - b = y. Is l a composite number?", "a": "False" }, { "q": "Let m = 3 + -1. Let b be ((-6)/7)/((-52)/(-28) - m). Is 1*(83461/42 + (-1)/b) prime?", "a": "True" }, { "q": "Let w = -15 + 13. Let b be (-1)/(w*3/18). Suppose 0*h + 2679 = b*h. Is h a composite number?", "a": "True" }, { "q": "Let j(k) be the second derivative of k**7/360 + k**6/240 + 13*k**5/120 + k**4/4 - 6*k. Let v(a) be the third derivative of j(a). Is v(5) prime?", "a": "False" }, { "q": "Let a be (10/15)/((-2)/69). Let v = a - -3516. Is v a prime number?", "a": "False" }, { "q": "Suppose 11*c - 2*z + 270290 = 745703, 2*c - 86428 = -5*z. Is c a composite number?", "a": "True" }, { "q": "Let d = -51 + 252. Let h = d - -386. Is h composite?", "a": "False" }, { "q": "Let w(g) = -g**2 + 66*g + 658. Is w(54) a composite number?", "a": "True" }, { "q": "Suppose 4*i + i - 20 = 0. Suppose i*d - 3*d - 4*b = 23, -5*b = -3*d + 34. Let k(o) = 46*o**3 - 2*o**2 - 4*o - 1. Is k(d) composite?", "a": "True" }, { "q": "Let i = 204 + -182. Is (-384 - -1)/(-2*1/i) prime?", "a": "False" }, { "q": "Suppose 4*n - 3*i - 34571 = 0, 56*n + i - 43190 = 51*n. Is n a composite number?", "a": "True" }, { "q": "Let t be 2/11 - 330750/(-110). Suppose -2*z = -z - t. Suppose 4*n - z = -5*i + 2826, 5830 = 5*i + 5*n. Is i a composite number?", "a": "True" }, { "q": "Let x = 251210 - -26265. Suppose -18*j + x = 7*j. Is j prime?", "a": "False" }, { "q": "Suppose -20*l = -25*l + 4*h + 11177, 2*l - 4478 = -2*h. Is l prime?", "a": "True" }, { "q": "Let z(y) = -15*y - 5. Let i be z(-1). Suppose -i*f - 36 = -4*f. Let n(j) = -5*j**3 - 6*j**2 + 8*j - 1. Is n(f) prime?", "a": "False" }, { "q": "Let o(k) = k**3 + 91*k**2 + 158*k + 45. Is o(-83) a prime number?", "a": "True" }, { "q": "Suppose -3*f - 81 = -6*f. Suppose -9*l + f = 9. Is 6/(-28)*l + 4627/49 composite?", "a": "True" }, { "q": "Suppose -9 = -14*j + 23*j. Let s(o) = 895*o**2 + 6*o + 6. Is s(j) a prime number?", "a": "False" }, { "q": "Let r = -12500 + 21303. Is r a prime number?", "a": "True" }, { "q": "Suppose 2*d - 8566 = -3*c, -5*c - 5*d = -d - 14280. Suppose 2*j - t - 1143 = 0, 0 = 5*j - 0*t + 3*t - c. Suppose -5*r = -4*r - j. Is r a composite number?", "a": "False" }, { "q": "Let u = 252474 + -137500. Is u a composite number?", "a": "True" }, { "q": "Let p(x) = -78*x**3 + 18*x**2 + 29*x - 21. Is p(-8) prime?", "a": "False" }, { "q": "Is (16/(-40))/(36/(-15720570)) a prime number?", "a": "True" }, { "q": "Suppose -5*t + 63690 + 93660 = 5*c, -2*t - 31467 = -c. Is c prime?", "a": "True" }, { "q": "Let a(z) = 128*z**2 + 6*z + 8. Let t be a(-2). Let g = t - -1366. Is g composite?", "a": "True" }, { "q": "Suppose -82*a + 21940 = -1054474. Is a prime?", "a": "True" }, { "q": "Suppose 83*j - 87*j - b = -41908, -4*b = b. Is j a composite number?", "a": "False" }, { "q": "Suppose 0 = 3*w - 3*l - 5 - 25, 5*l + 10 = -3*w. Suppose 2*k = w*u - 17, 5*u + 5 = 3*k + 18. Suppose k*y - y - 4*h - 2889 = 0, y + h - 970 = 0. Is y composite?", "a": "False" }, { "q": "Suppose 0 = -6*b + 9*b - 4*r - 20, 4*b = 4*r + 20. Let p = -9 + 11. Suppose -5*w - p*q - q + 533 = 0, 4*w - 4*q - 452 = b. Is w prime?", "a": "True" }, { "q": "Suppose -5*c + 33353 = 3*o, 5*o - 16657 = -3*c + 3342. Is c a composite number?", "a": "False" }, { "q": "Let l(f) = 689*f + 308. Is l(39) prime?", "a": "True" }, { "q": "Let v(x) = x**3 - 9*x**2 - 10*x. Let u be v(10). Suppose u = 4*f - 9*f. Suppose f = 3*y - 7*y + 436. Is y a composite number?", "a": "False" }, { "q": "Suppose 42 = 4*f + j, -16 = -2*f + 2*j - 0. Suppose 0 = f*d - 4*d - 24. Suppose -4*r + 2*r = -2*h + 894, 1334 = 3*h + d*r. Is h prime?", "a": "False" }, { "q": "Let u(p) = 43 - 10 - 16 + 400*p**2 - 1 + 3*p. Is u(5) prime?", "a": "False" }, { "q": "Suppose 0*u + 5*u - 4*o = 110722, -5*u - 17*o + 110659 = 0. Is u composite?", "a": "True" }, { "q": "Let q = -8776 + 48863. Is q prime?", "a": "True" }, { "q": "Let z(d) = d**2 + 2*d - 4. Let s(f) = f**2 + 12*f - 32. Let g be s(-14). Let i be z(g). Suppose -3*h + 3221 = i*y, 3*h - 1596 = 4*y + 1585. Is h prime?", "a": "False" }, { "q": "Let g(b) = 39*b**3 + 18*b**2 - 55*b - 31. Is g(9) a composite number?", "a": "False" }, { "q": "Suppose m + 21 = 8*m. Is (2 - m) + (3006 - (2 - -5)) a prime number?", "a": "False" }, { "q": "Suppose -t + 12 = t. Suppose 1028 = t*a - 2*a. Is ((-6)/15 - 2/(-5)) + a a composite number?", "a": "False" }, { "q": "Suppose -i + q - 241 = -3*q, -3*i - 2*q - 709 = 0. Let j = 870 - i. Suppose 2*g - 546 = 2*u, 0*u + u + j = 4*g. Is g prime?", "a": "False" }, { "q": "Let m(k) = 6*k**3 - 5*k**2 + 5*k + 6. Let v be m(5). Let q = v - 274. Is q a composite number?", "a": "True" }, { "q": "Suppose 5*v - 6*v - 9878 = -c, 5*c - 49402 = v. Is c a composite number?", "a": "True" }, { "q": "Suppose 5*d = f + 89512, 20*f = -3*d + 24*f + 53697. Is d prime?", "a": "True" }, { "q": "Let q(n) = -2*n - 16. Let d be q(-8). Suppose d = x - 859 - 1160. Is x a composite number?", "a": "True" }, { "q": "Suppose -192*y + 5*y + 5*y = -6397482. Is y prime?", "a": "False" }, { "q": "Let z(j) = j**3 - 27*j**2 - 5*j - 9. Let r(b) = -b**2 + b - 1. Let o(u) = -4*r(u) - z(u). Is o(22) composite?", "a": "False" }, { "q": "Let b = -1096 + 541. Let u = b + 962. Is u a composite number?", "a": "True" }, { "q": "Let n = 157 + -147. Is (-4 - (-5085)/n)*2 a composite number?", "a": "False" }, { "q": "Suppose 0 = 5*w - 8065 - 8585. Let x = w + 867. Is x prime?", "a": "False" }, { "q": "Is (-2718640)/(-15) + 29/87 prime?", "a": "True" }, { "q": "Suppose 9*h - 8 - 10 = 0. Suppose 0 = -v - h*v + 3, 5*j = 3*v + 12. Is 998 - ((-1 - 1) + j) a prime number?", "a": "True" }, { "q": "Suppose 0 = 3*q - 1824 + 354. Let s = 76 + -219. Let u = q + s. Is u a prime number?", "a": "True" }, { "q": "Suppose -3*o - 4*y + 16643 = 0, -5*o + 4*y + 10685 + 17064 = 0. Is o a composite number?", "a": "True" }, { "q": "Suppose 0 = 3*k - 5*k - 808. Let h = k - -215. Let f = h + 316. Is f a composite number?", "a": "False" }, { "q": "Is 657963/6 - (-5 + ((-69)/(-6) - 7)) composite?", "a": "False" }, { "q": "Let s(a) = 2*a**3 - 23*a**2 + 60*a + 133. Is s(22) a composite number?", "a": "False" }, { "q": "Let u = 98524 + -64103. Is u a prime number?", "a": "True" }, { "q": "Let k be 9852*(12/(-8))/(-3). Let r = 15434 - k. Let x = r + -7017. Is x prime?", "a": "True" }, { "q": "Suppose 6*b + 0*b - 12 = 0. Let m be ((-47)/b)/(1/(-18)). Let s = m + -124. Is s composite?", "a": "True" }, { "q": "Let i(s) = -10*s**3 + 9*s**2 - 16*s - 16. Is i(-7) composite?", "a": "False" }, { "q": "Suppose 178024 = 4*a - 3*v, 9*v = a + 6*v - 44515. Is a a prime number?", "a": "False" }, { "q": "Let y = -41 - -28. Let s = 20 + y. Suppose 2537 = s*r - 2202. Is r prime?", "a": "True" }, { "q": "Let u(v) = 36*v - 249. Let p be u(7). Suppose -3*s - 5*m = -454, 0*m = 2*m + 8. Suppose 0 = -p*t + 5*t - s. Is t a composite number?", "a": "False" }, { "q": "Suppose -5*n + 4*j = -69441, -66*j = 4*n - 71*j - 55560. Is n composite?", "a": "True" }, { "q": "Let v = 348941 - 234682. Is v a prime number?", "a": "True" }, { "q": "Suppose 0 = -6*t - 2*t + 1632. Suppose -4*c + 656 = -t. Is c a composite number?", "a": "True" }, { "q": "Let t = 679 - 835. Let s(v) = 17*v**2 + 6. Let g be s(-5). Let y = g - t. Is y prime?", "a": "True" }, { "q": "Suppose -5*l = -5*p - 65, 0 = 4*l - 3*p + 7*p - 28. Let n be (-4)/l + (-182)/70. Is 1673 + 0*n/(1 + 5) prime?", "a": "False" }, { "q": "Suppose -13*d + 1900 = -12*d + 489. Is d prime?", "a": "False" }, { "q": "Let z be (-6)/8*-2722*(-80)/(-24). Suppose 3*h = 4*h - z. Is h a composite number?", "a": "True" }, { "q": "Suppose 12 = 13*t - 11*t. Let q = 7 + -5. Suppose -q*i - 236 = -t*i. Is i composite?", "a": "False" }, { "q": "Let p(m) = 7*m - 4. Let g be p(2). Let u be 6158/4 + g/20. Let o = u + -131. Is o composite?", "a": "False" }, { "q": "Let x be (3 + (-10)/(-20))/(1/26). Let i = x - -424. Is i prime?", "a": "False" }, { "q": "Let o = 433445 + -277438. Is o composite?", "a": "False" }, { "q": "Let h(k) = -43*k - 56. Let z be h(16). Let m be 1 + 1281/(-3) + -1. Let q = m - z. Is q prime?", "a": "True" }, { "q": "Let k be 2/9 + 4744/36. Suppose k = -2*i + 394. Is i prime?", "a": "True" }, { "q": "Let i = 12 + -8. Suppose -i*j = -1 + 17. Is (-1 - (-58)/j)/((-3)/6) prime?", "a": "True" }, { "q": "Let k be -18*(465 - (-4 + 3)). Let j = -5626 - k. Suppose 4*u - 6*u = -j. Is u composite?", "a": "False" }, { "q": "Let i be 5 + (3 - 0/3). Let b(g) = -24*g**2 - 4*g - 1. Let z be b(i). Let q = -1032 - z. Is q a prime number?", "a": "False" }, { "q": "Let o(u) = 21938*u**2 - 65*u + 129. Is o(2) a composite number?", "a": "False" }, { "q": "Let u be ((-25)/(-10))/((-1)/(-2)). Suppose l + u = 2. Let z(t) = -4*t**3 + 3*t**2 + 4*t - 2. Is z(l) composite?", "a": "True" }, { "q": "Suppose 0 = -4*k, -2*y - 5*k = -0*y - 4. Let c be (-2)/(-4)*y*-628. Is (0 + c/(-8))*2 a prime number?", "a": "True" }, { "q": "Suppose -5*t - d - 613528 = 0, -3*t + 4*d - 368124 = d. Is t/(-36) - ((-2)/4 - 0) composite?", "a": "True" }, { "q": "Suppose 5*n - 2 = 8, -n + 3 = x. Let l be (0 - x)/((-9)/(-63)). Let c(h) = 10*h**2 + 7*h + 4. Is c(l) a prime number?", "a": "False" }, { "q": "Suppose -9291 = -5*i + 1299. Let r = i + -1213. Is r a composite number?", "a": "True" }, { "q": "Suppose 0 = -2*k - 2*c + 4, k + 5*c = 4 + 6. Suppose 5*i = -k*i + 20, 2*i + 6469 = 3*p. Is p prime?", "a": "False" }, { "q": "Let v(r) = 104*r**2 + 11*r + 13. Let k be 4*5/(-30)*9. Is v(k) a prime number?", "a": "True" }, { "q": "Let h(f) = f**2 + 10*f - 37. Let i be h(-16). Suppose -3*s - 11 = 4, 3*n - i = s. Let z = 145 - n. Is z a prime number?", "a": "True" }, { "q": "Let q(n) = -3*n + 11*n**2 - 11*n + 9*n - 13 - 6*n. Is q(6) composite?", "a": "False" }, { "q": "Suppose 5*m - 5425 = -3*k + 92, -4*k + 4*m = -7388. Let c be (27/(-18))/((-6)/k). Suppose 0 = -2*t + c + 441. Is t a composite number?", "a": "True" }, { "q": "Let q(s) = -291*s + 21 + 393*s - 328*s. Is q(-5) a composite number?", "a": "False" }, { "q": "Suppose -60 = -8*z - 2*z. Suppose -4180 = t - z*t. Suppose t = -u + 5*u. Is u prime?", "a": "False" }, { "q": "Let u be (-2028)/(-65) + (-2)/10. Let d(i) = -55*i + 8. Let f be d(-3). Suppose -2*h + f - u = 0. Is h composite?", "a": "False" }, { "q": "Let h(z) = -7468*z - 126. Is h(-1) prime?", "a": "False" }, { "q": "Let i(a) = 6*a**2 + 3*a - 2. Let n be i(-3). Suppose -3*m - n = -o, 5*o = 2*m + 23 + 140. Let j = o + -16. Is j prime?", "a": "False" }, { "q": "Let l(b) = -b**3 + 3*b**2 + 2*b. Let g = 53 + -49. Let s be l(g). Is (614/s)/(4/(-16)) a prime number?", "a": "True" }, { "q": "Suppose 5*s = 2*z + 3174, 0 = -3*s - 5*z + 2063 - 171. Let f = -77 + s. Is f a prime number?", "a": "True" }, { "q": "Suppose -6*s - 8*s + 264110 = 0. Let f = s - 11534. Is f a prime number?", "a": "True" }, { "q": "Suppose 14*z = 374210 - 25848. Is z prime?", "a": "False" }, { "q": "Let x = 31611 - 17840. Is x a composite number?", "a": "True" }, { "q": "Suppose -6 = 3*b, -4*b = -3*n + 17 + 6. Suppose -n*o = -4*w + 3, 1 + 5 = -2*w + 4*o. Is (-1 - -24)*(w - 0) prime?", "a": "False" }, { "q": "Suppose 68*f - 4057620 = -16*f. Is f composite?", "a": "True" }, { "q": "Let k = 182454 - 98077. Is k a composite number?", "a": "False" }, { "q": "Let y = -96 + 99. Suppose 0 = 9*f + y*f - 8844. Is f composite?", "a": "True" }, { "q": "Let t be 35 + (6/(-2))/((-39)/(-26)). Let y be (-2)/(-11) + (-8388)/t. Let g = -111 - y. Is g composite?", "a": "True" }, { "q": "Let p(q) = -q - 10. Suppose -4*o - k = 57, 2*k = o - 3*k + 30. Let b be p(o). Suppose 5*v - 1090 = 5*s, 2*s + 1088 = b*v - s. Is v a prime number?", "a": "False" }, { "q": "Let k(o) = 53*o**2 - 8*o - 59. Let p be k(15). Suppose 4*c = -10*c + p. Is c composite?", "a": "False" }, { "q": "Let l(n) = n**3 + 20*n**2 + 15*n + 91. Is l(-18) a prime number?", "a": "False" }, { "q": "Suppose 75*u - 62435 = 411790. Is u a prime number?", "a": "True" }, { "q": "Is (-6 - (-140)/21)*(-5)/((-50)/22065) composite?", "a": "False" }, { "q": "Let j(m) = 26*m**3 + 3*m**2 - 68*m + 58. Is j(15) a prime number?", "a": "False" }, { "q": "Let r(q) = 7*q**3 - 45*q**2 - 39*q - 2. Let v(s) = -3*s**3 + 22*s**2 + 19*s + 1. Let y(g) = -6*r(g) - 13*v(g). Is y(-10) a composite number?", "a": "True" }, { "q": "Let t be 4/(-1) + (0 - -1). Let u = -46 + 44. Is (-6 - (-1 + t))/(u/1277) a prime number?", "a": "True" }, { "q": "Let m be 405 + 0/(1 - -4). Suppose 0 = i - 2, o - 19*i - m = -15*i. Is o a composite number?", "a": "True" }, { "q": "Let r(j) = 2*j**2 - 3*j - 15. Let f be r(5). Let y(w) = -w**3 + 29*w**2 + 14*w + 1. Is y(f) prime?", "a": "True" }, { "q": "Suppose -o = -4, -4*j + o - 748 = -o. Is j*-58*(-4)/(-40) a prime number?", "a": "False" }, { "q": "Suppose 4*c + 5*b = 492489, 10*b + 369365 = 3*c + 12*b. Is c prime?", "a": "True" }, { "q": "Let o be 2/(-9) + (-210)/27. Let n(w) = -w**3 - 11*w**2 - w - 5. Let v be n(o). Let d = v + 484. Is d prime?", "a": "False" }, { "q": "Let k(a) = 16*a**2 - a - 39*a**2 + 15*a**2 + 3109 + 7*a**2. Is k(0) a prime number?", "a": "True" }, { "q": "Suppose -3*s - 19811 = -49250. Is s prime?", "a": "False" }, { "q": "Let k(f) be the third derivative of f**4/24 + 2*f**3/3 + 4*f**2. Let w be k(-6). Is (-1)/w*((-2670)/5)/(-3) a composite number?", "a": "False" }, { "q": "Is ((-337)/3)/((-143)/4719) prime?", "a": "False" }, { "q": "Let j(p) = 67*p + 7. Suppose -5 = -b + 8. Let w = b + -7. Is j(w) a composite number?", "a": "False" }, { "q": "Let x = 7415 - 2654. Let i = x + -3259. Suppose -4*m - i = -6*m. Is m a prime number?", "a": "True" }, { "q": "Suppose -4*x + 4 = 3*a, 12*x + 28 = 5*a + 8*x. Suppose -a*i + 4882 = -2*i + 3*k, 4*i = -5*k + 9764. Is i a composite number?", "a": "False" }, { "q": "Suppose 3*t - 5*i + 518 = 0, 2*t - 3*i = -2*i - 350. Let r = 555 + t. Suppose -v + r + 142 = 0. Is v a prime number?", "a": "True" }, { "q": "Let s(h) = 2*h**2 + 18*h - 12. Let m be s(-10). Suppose -2*p - m = -16. Suppose -5751 = -p*z + c - 2*c, 2*z = 4*c + 2862. Is z composite?", "a": "True" }, { "q": "Let c be -3069 - 1 - (-6)/(2 + 4). Let w = -1948 - c. Is w a composite number?", "a": "True" }, { "q": "Let f = -59105 - -103672. Is f composite?", "a": "True" }, { "q": "Let m(u) = -u**3 + u**2 + u + 1951. Let q be m(0). Let a = q - 896. Is a a composite number?", "a": "True" }, { "q": "Suppose 4*v - 270796 + 751505 = 21*v. Is v prime?", "a": "True" }, { "q": "Suppose 6*d - 7*d + 132989 = 4*n, 5*n - 3*d - 166232 = 0. Is n a composite number?", "a": "False" }, { "q": "Let v = 46 + -43. Suppose 0 = -6*z - v*z + 36. Suppose -z*f - 321 = 5*j - 1058, -j + 2*f + 139 = 0. Is j a prime number?", "a": "False" }, { "q": "Let l be 3/((6/2)/99). Let v = 308 + l. Is v a prime number?", "a": "False" }, { "q": "Let f = -14927 + 28461. Let s = -2041 - f. Is s/(-28) - (-6)/8 prime?", "a": "True" }, { "q": "Let m(n) = 73*n**2 + 331*n + 139. Is m(35) a prime number?", "a": "True" }, { "q": "Let o be 12/(-18) + (-20)/6. Let u be (20 + -8)*(-186)/o. Let p = 851 - u. Is p a prime number?", "a": "True" }, { "q": "Let u(v) = -v**3 - 8*v**2 - v - 16. Let d be u(-8). Let z be -1 + 1 + -52*4/d. Suppose z*m - 435 = 23*m. Is m prime?", "a": "False" }, { "q": "Let k be 0 - -2*21/6*395. Let f = k - 1164. Is f a prime number?", "a": "True" }, { "q": "Let r(i) = -i**2 - 12*i - 18. Let p be r(-9). Let c be 6/p*(36/(-2))/(-3). Suppose -f - 1753 = -c*f + 2*v, -4*v - 20 = 0. Is f composite?", "a": "True" }, { "q": "Let o be ((-2)/(-5) - 24/(-15)) + 0. Let b be (-60)/27 + o + 6170/(-18). Let l = -228 - b. Is l a composite number?", "a": "True" }, { "q": "Let x be (-2)/10*-12*25020/(-24). Let l = 3779 + x. Is l prime?", "a": "True" }, { "q": "Let m = 5 - -1. Let d be (-1)/(1 - 387/386). Is (-6)/(3 - 5) + m*d prime?", "a": "False" }, { "q": "Let z(n) = -1549*n**3 + 3*n**2 + 68*n + 133. Is z(-2) a prime number?", "a": "True" }, { "q": "Let y(v) = 3*v + 18. Let h be 360/(-64) + (-3)/8. Let x be y(h). Suppose d = x, -22 = -2*j - 6*d + 2*d. Is j composite?", "a": "False" }, { "q": "Suppose -3*j = -406 - 674. Let l(t) = -12*t**3 - 3*t**2 - 2*t - 3. Let f be l(-2). Suppose -5*y + j = f. Is y composite?", "a": "True" }, { "q": "Let b = -210 + 208. Is (b/6)/(20/(-52140)) a composite number?", "a": "True" }, { "q": "Suppose -3*g = -4*n + 6*n - 7, -2*n = 5*g - 5. Suppose -n*d + c - 6269 = -9*d, -4*c - 1563 = -d. Is d prime?", "a": "True" }, { "q": "Is (-307620)/(-13) - (94 + -97)/(-39 - 0) a prime number?", "a": "True" }, { "q": "Suppose g = 5*h - 1995, 0 = -h + 3*h + 4*g - 820. Let n = 47 + h. Is n a composite number?", "a": "True" }, { "q": "Let h = -666 + 1273. Let v = 126 + h. Is v composite?", "a": "False" }, { "q": "Is (-12)/42 + 589576/28 - -3 prime?", "a": "True" }, { "q": "Let o(m) = m + 3*m + 1 - 5*m + 265*m**2 - m. Let b be o(-1). Suppose 2*k - b = 5*a, k - 42 = 5*a + 92. Is k a prime number?", "a": "False" }, { "q": "Let n(b) be the second derivative of -16*b + 1/4*b**5 - 1/2*b**3 + 0 - 1/3*b**4 + 11/2*b**2. Is n(5) a composite number?", "a": "False" }, { "q": "Let s(c) = -770*c - 8. Let b be s(7). Let r = b + 8014. Suppose h = 4*g + 6*h - r, 4*h - 3261 = -5*g. Is g composite?", "a": "True" }, { "q": "Suppose -22*n + 3*n = -95. Suppose 2*z = -c + 266, -6*z - 151 = -7*z - n*c. Is z a composite number?", "a": "False" }, { "q": "Let b = 24 - 17. Suppose v = -4, -b*p = -2*p + 4*v + 291. Is p/(-4 + 7 - 4) a composite number?", "a": "True" }, { "q": "Let a = -81815 - -122135. Suppose 25908 + a = 12*k. Is k a composite number?", "a": "False" }, { "q": "Suppose 3*j - 13 = 3*o - 4*o, -4*o = j - 8. Suppose j*r = 2*t - 348, 0 = -3*r - r - 4. Suppose -2*b + t = -250. Is b composite?", "a": "False" }, { "q": "Let k = -10 + 21. Let t(o) = 4*o**2 + 8*o - 24. Let i be t(k). Suppose -2*l + 4*x = -252, -i = -4*l - x - 2*x. Is l a composite number?", "a": "True" }, { "q": "Let z = -147083 + 247888. Is z prime?", "a": "False" }, { "q": "Let t = -7 + 10. Suppose 6*r - 3*r + 2042 = -4*i, t*r + 2*i = -2032. Let d = 1067 + r. Is d a composite number?", "a": "True" }, { "q": "Let k(u) = 2290*u + 8. Let j be k(-2). Let a = 6559 + j. Is a composite?", "a": "False" }, { "q": "Let g(a) = 399*a - 47. Suppose -30 - 50 = -8*v. Is g(v) a prime number?", "a": "True" }, { "q": "Is (163 + 0)/(-8*10/(-92080)) a prime number?", "a": "False" }, { "q": "Is -18 + 13 + (-6 - -44794) composite?", "a": "True" }, { "q": "Suppose -24*d + 5*i + 3987 = -23*d, 0 = i + 2. Is d a composite number?", "a": "True" }, { "q": "Let g = -1515 + 778. Let q = -502 - g. Is q a composite number?", "a": "True" }, { "q": "Suppose -31*j = -33*j + 1350. Let d = j - 8. Is d composite?", "a": "True" }, { "q": "Let k(j) = -j**2 - 9*j + 1. Let l be k(-10). Let i(p) = 39*p**2 - 17*p - 13. Is i(l) a prime number?", "a": "True" }, { "q": "Is -41 - -46 - (2 - 1*-6) - -18232 a composite number?", "a": "False" }, { "q": "Let u(p) = p**2 - 2*p - 4. Let q be u(-2). Suppose -3*r + 19 = 4*z, q*z - 3*r + 2*r - 15 = 0. Suppose z*h - 114 = -2*h. Is h a composite number?", "a": "False" }, { "q": "Is (-173208)/(9 + -17) + -4 a composite number?", "a": "False" }, { "q": "Let q be 4 - 4*(-3)/(-3). Let v(w) be the second derivative of -w**4/12 + 581*w**2/2 + 6*w. Is v(q) composite?", "a": "True" }, { "q": "Suppose 2338269 = 34*a + 8*a - 10335861. Is a prime?", "a": "False" }, { "q": "Is (93/12 + -7)*939324/9 composite?", "a": "False" }, { "q": "Suppose -116*w + 134*w + 20149 - 167587 = 0. Is w a prime number?", "a": "True" }, { "q": "Suppose 103*b - 104*b + 49861 = 4*n, 249356 = 5*b + 3*n. Is b prime?", "a": "False" }, { "q": "Let n = 18 - 14. Suppose -3*x + n*i = -1809, -6*x - i + 2992 = -x. Suppose 4*w = x + 405. Is w composite?", "a": "False" }, { "q": "Let v be 6*2/3*179. Let w = 1709 - v. Suppose -w = -2*j - j. Is j composite?", "a": "False" }, { "q": "Let k = 47899 - 13988. Is k a prime number?", "a": "True" }, { "q": "Let o = 42 + -52. Let j = -94 - o. Is (106/(-4))/(6/j) prime?", "a": "False" }, { "q": "Let d be (37*(6 - 10))/((-4)/58). Suppose -4*y = -8718 + d. Is y a composite number?", "a": "True" }, { "q": "Let z = -54 - -50. Let c be (-1)/z - 323/(-68). Suppose c*m = 3*m + 634. Is m a composite number?", "a": "False" }, { "q": "Suppose -f + 2*v - 3 = 0, -4*f - v = f - 29. Let a = f + -40. Let q = a - -114. Is q a composite number?", "a": "False" }, { "q": "Suppose -58*o = -41*o - 1538483. Is o a prime number?", "a": "True" }, { "q": "Let l = -112096 - -157499. Is l a composite number?", "a": "False" }, { "q": "Let d be (-2 + -3 - -4)*0. Suppose d = 16*a - 20*a + 20. Suppose 0 = -0*t + a*t - 2705. Is t a composite number?", "a": "False" }, { "q": "Suppose 51*w - 61514 = 171760 - 23715. Is w a composite number?", "a": "True" }, { "q": "Let f(s) = 157*s**2 + 21*s + 141. Is f(19) composite?", "a": "True" }, { "q": "Suppose 5*l + 5*l + 64814 = 12*l. Is l composite?", "a": "True" }, { "q": "Let j(q) = 2*q**2 + 21. Suppose -10*w + 5*w - 5 = 0, 3*z + 32 = -5*w. Is j(z) a composite number?", "a": "True" }, { "q": "Suppose 0 = -4*l + 2*l + 20. Suppose 4 - l = -g. Let y(z) = 33*z**2 + 2*z - 7. Is y(g) a prime number?", "a": "True" }, { "q": "Let a(s) = 8*s**2 + 46*s - 755. Is a(-64) composite?", "a": "True" }, { "q": "Let i be (-255)/(-60) - 1/4. Suppose 0*r - 48 = -3*r + 2*p, 5*r + i*p - 58 = 0. Suppose 13*u + 59 = r*u. Is u composite?", "a": "False" }, { "q": "Let n(o) = -8*o**3 + 11*o**2 - 5*o - 6. Let c be n(17). Let t = -19885 - c. Is t a composite number?", "a": "True" }, { "q": "Suppose 0*v - v = -1352. Suppose 2968 + v = 2*h. Let n = -905 + h. Is n prime?", "a": "False" }, { "q": "Let d = -2063 + 1097. Let q = 2249 + d. Is q composite?", "a": "False" }, { "q": "Let s(w) be the first derivative of 17*w**4/4 - 7*w**3/3 + w**2/2 - 10*w + 75. Is s(5) composite?", "a": "True" }, { "q": "Let j(b) = -582*b - 3. Let g be j(-1). Let l = 1376 - g. Suppose 0 = 9*a - 10*a + l. Is a a prime number?", "a": "True" }, { "q": "Suppose -2*m - 2*w = 0, 5*w - 10 + 30 = 5*m. Suppose u = -0*u - m*x + 1665, 0 = -5*x + 25. Is u a composite number?", "a": "True" }, { "q": "Let m be (82*(-5)/(-20))/((-1)/2). Let k = m - -72. Is k a prime number?", "a": "True" }, { "q": "Let q(m) = 7 - 4*m + 0 + 3*m**3 - 3*m**2 + 8. Let c be q(6). Suppose -3*d + 8*d = -5*f + 875, 3*f - c = -d. Is f composite?", "a": "True" }, { "q": "Let t = -3697 - -6474. Is t a composite number?", "a": "False" }, { "q": "Suppose 0 = 3*a - 2*y - 2789, -4647 = -4*a - a + 2*y. Suppose t = 1460 + a. Is t prime?", "a": "True" }, { "q": "Suppose 47*n = 1370492 + 1496555. Is n prime?", "a": "True" }, { "q": "Suppose 0 = 17*w - 22*w, 2*a = -3*w + 207914. Is a a composite number?", "a": "True" }, { "q": "Suppose -61*f = 42*f + 19*f - 41674834. Is f prime?", "a": "True" }, { "q": "Let q(s) = 28*s**3 - 8*s**2 + 19*s - 118. Is q(7) a prime number?", "a": "True" }, { "q": "Suppose -2*n = 3*o + 98 - 1193, -5*o = -15. Let c = n + 1556. Is c a composite number?", "a": "False" }, { "q": "Let b(y) = -111*y + 13. Suppose 10 = -2*d + 2. Let a be b(d). Suppose 5*f = w + a, -2*f - 5*w = f - 263. Is f prime?", "a": "False" }, { "q": "Suppose 5*l - 18*a = -17*a, 2*a = -3*l. Suppose l = -k - f + 4088, 4073 = k + 4*f - 6*f. Is k composite?", "a": "True" }, { "q": "Suppose 23431 - 6106 = 5*r. Let j = r - 2066. Is j composite?", "a": "False" }, { "q": "Let d = 33666 + 9725. Is d composite?", "a": "False" }, { "q": "Let u = 69795 + -7769. Is u composite?", "a": "True" }, { "q": "Let i(s) = 345*s**2 - 11*s + 23. Let t be i(-7). Suppose 2*w = 5*l - 2*l + t, l - 42504 = -5*w. Is w a composite number?", "a": "False" }, { "q": "Let m(l) = 33*l**2 + 2 + 29*l**2 - 61*l**2 - 4. Let g be m(2). Suppose 215 = v + 4*b, g*v + b = 5*b + 382. Is v prime?", "a": "True" }, { "q": "Let x(p) = 25*p + 3. Let m be x(3). Let q(o) = o**3 + 15*o**2 - 53*o - 29. Let s be q(-18). Let c = m + s. Is c a composite number?", "a": "False" }, { "q": "Let i(y) = 1571*y + 44. Let m be i(4). Let a = -3387 + m. Is a a composite number?", "a": "True" }, { "q": "Suppose 3*j = -5*z + 3210, -2*z - 5*j = -0*j - 1284. Suppose z = y + 197. Is y composite?", "a": "True" }, { "q": "Suppose -67*j + 66*j + 2*p = -73251, 3*p = 3*j - 219765. Is j composite?", "a": "False" }, { "q": "Suppose -5*c + 2*m + 123 = 0, -2*c - 2*m + 102 = 2*c. Suppose -5*z + 2*y = 4*y - 7150, 5*y + c = 0. Is (0 + 3/2)/(6/z) prime?", "a": "False" }, { "q": "Suppose -2*k = s - k + 35, 0 = 4*s - 3*k + 105. Let b = -42 - s. Is (-1678*2/(-12))/((-4)/b) composite?", "a": "False" }, { "q": "Suppose 0 = 2*n - 0*n + 2*a + 332, -5*n + 4*a = 785. Let t = n + 314. Suppose 2*f = -t + 655. Is f a composite number?", "a": "False" }, { "q": "Let s(m) = -m**3 + 3*m**2 + 4*m + 10. Let d be s(5). Is (-6740)/(-8)*d/(-25) composite?", "a": "True" }, { "q": "Let x be 1/3 + 47630/3. Suppose -9*l = x - 125560. Is l prime?", "a": "False" }, { "q": "Let c = 261 + -229. Suppose 0 = c*w - 35*w + 15621. Is w composite?", "a": "True" }, { "q": "Let y(k) = k**2 - 11*k + 20. Let h be y(9). Let s be 1 - (9/h)/(6/8). Is (3/s)/((-4)/1060) composite?", "a": "True" }, { "q": "Suppose 42*f - 15154 = -2260. Is f a composite number?", "a": "False" }, { "q": "Suppose -43 = -z - 2*n + 5*n, 5*z + 4*n - 234 = 0. Let l = z + -45. Is (-11)/(11/(-120)) + l + 0 composite?", "a": "True" }, { "q": "Is -107*(56916/(-21))/6 - 12/28 composite?", "a": "True" }, { "q": "Let q(d) = 14665*d - 46. Is q(5) a prime number?", "a": "False" }, { "q": "Suppose -4*b + 0*b + 7936 = 0. Let t = b - 1164. Suppose 3*n = -n + t. Is n prime?", "a": "False" }, { "q": "Let z = -59 + 33. Let k = 29 + z. Suppose -b - 640 = -5*p, -3*p + 366 = -0*p + k*b. Is p a composite number?", "a": "False" }, { "q": "Let k(p) = -525*p - 9. Suppose 3*h - 5*g - 46 = h, -4*h - 4*g = -36. Suppose -h = 6*j - 1. Is k(j) a prime number?", "a": "False" }, { "q": "Let f be (-1)/3 + (-1884)/(-9) + 2. Let w = 302 - -186. Suppose 5*t + r = 3483, -r - w - f = -t. Is t a prime number?", "a": "False" }, { "q": "Suppose 0 = 24*l - 11*l - 598273. Is l a composite number?", "a": "False" }, { "q": "Suppose -695391 = -18*l - 69*l. Is l prime?", "a": "True" }, { "q": "Let i(a) = 2*a**2 - a + 1. Let k be i(1). Suppose 0 = 2*x + x + k*x. Is x - (-376 - 2) - -3 prime?", "a": "False" }, { "q": "Let y = 1835 - -20106. Is y a prime number?", "a": "False" }, { "q": "Let f = 357757 - 86004. Is f a composite number?", "a": "False" }, { "q": "Let h(c) = 31535*c**3 - 3*c**2 - 4*c + 3. Is h(1) a composite number?", "a": "False" }, { "q": "Suppose 3*n - 6*t - 67106 = n, 4*t + 100639 = 3*n. Is n prime?", "a": "False" }, { "q": "Let c(z) = -z**2 + 37*z - 67. Let g be c(35). Suppose -3*w + 4*j + 6301 = 3*j, -g*w - 2*j + 6289 = 0. Is w a composite number?", "a": "False" }, { "q": "Is 7792 + (-4 - -3) + (-4 - 0/8) a composite number?", "a": "True" }, { "q": "Is (-1)/((-12)/(0 + 3098484)) composite?", "a": "True" }, { "q": "Let v = -233 + 247. Is (v/8)/((0 - -10)/8440) prime?", "a": "False" }, { "q": "Suppose -6*i + 5 = -3*i - 5*r, -2*i + 4 = -3*r. Suppose -5*w = 5*c - 25 - 0, i*c - 10 = 0. Let y = w - -444. Is y a composite number?", "a": "True" }, { "q": "Let y = -72 - -46. Let a = y - -30. Let x(s) = 2*s**3 + 5*s**2 - 14*s + 5. Is x(a) composite?", "a": "False" }, { "q": "Let d(r) = -r**3 + 10*r**2 + 25*r - 2. Let w be d(12). Let j(b) = 49*b**2 + 39. Is j(w) prime?", "a": "False" }, { "q": "Let m = -42 + 42. Suppose 4*t + 4*k = 2*k - 24, m = -t - 4*k - 20. Is t/16 + 3930/8 a composite number?", "a": "False" }, { "q": "Suppose -3*n + 3948 + 5491 = 2*o, 2*n = -3*o + 14166. Suppose 0 = -6*f + o + 15070. Is f composite?", "a": "False" }, { "q": "Let j(u) = -u**3 + 14*u**2 - 13*u - 6. Let p be j(13). Let f(v) = -3*v**3 - 8*v**2 - 6*v + 1. Is f(p) a composite number?", "a": "False" }, { "q": "Let q(f) = -f**2 - 8*f - 7. Let t be q(-6). Suppose 19080 + 16235 = t*o. Is o a prime number?", "a": "False" }, { "q": "Suppose -p + 13*p = -2*p + 433762. Is p prime?", "a": "True" }, { "q": "Let n = 21 - 27. Let a be 4/n + (-140)/(-21). Suppose a*f - f - 2315 = 0. Is f a prime number?", "a": "True" }, { "q": "Let o(r) = -16*r**2 + 4*r - 6. Let f be o(-9). Is 9/((-27)/f)*(-1 - -2) a prime number?", "a": "False" }, { "q": "Let p be 1 + 2/8 + 15/20. Let c be 0/((-1 - 3) + p). Suppose 12*s - 16*s + 2284 = c. Is s a composite number?", "a": "False" }, { "q": "Let b(t) = t**2 + 7*t - 14. Let x be b(11). Let k = x - -243. Suppose 4*j - k = 505. Is j prime?", "a": "True" }, { "q": "Suppose p + 5*r = 3427, -12898 = -4*p - 5*r + 855. Suppose p = -9*m + 11*m. Is m composite?", "a": "False" }, { "q": "Suppose 11*l = 13*l + 8. Let w be (l/(-24) - 0) + 1/(-6). Suppose w*h - 5*h = 4*g - 4369, 3*g = 2*h - 1766. Is h prime?", "a": "True" }, { "q": "Let v be (-6)/15*-5 + -89. Let j be 2/(-6) + (-10208)/v. Is (-18)/j + (-35286)/(-26) prime?", "a": "False" }, { "q": "Suppose 0 = -89*b + 5*b + 4734660. Is b composite?", "a": "True" }, { "q": "Let y(o) be the second derivative of -1537*o**3/6 + o**2 - 12*o. Suppose -3*s - 2*s + 5 = 0, 2*z + 11 = 5*s. Is y(z) composite?", "a": "True" }, { "q": "Let z be ((-18)/4)/(7/(-14)). Let b(h) = 2*h**2 + 13*h + 6. Let v be b(z). Let g = v - 200. Is g a composite number?", "a": "True" }, { "q": "Suppose 26*b - 116956 = 8*b - 10*b. Is b a prime number?", "a": "True" }, { "q": "Let x(r) = -184*r - 2. Let y be x(-8). Let b be 8/(-4)*y/(-4). Suppose i - c - 3*c = b, -5*i + 2*c = -3693. Is i a prime number?", "a": "True" }, { "q": "Suppose -6*g + 11*g - 10 = 0. Suppose j + 14 = g*j. Is -2*2/j - 3320/(-56) prime?", "a": "True" }, { "q": "Let y = -296197 - -575528. Is y composite?", "a": "True" }, { "q": "Let x(m) = -5*m - 66. Let w be x(-11). Is 53/(-1)*(w + 6) composite?", "a": "True" }, { "q": "Suppose 0 = -5*j, -4*n + 4*j - 14 = -2. Is ((-6098)/8)/(n/24*2) prime?", "a": "True" }, { "q": "Let h = -101 - -106. Is (2518 + (5 - h))*1/2 a composite number?", "a": "False" }, { "q": "Is ((1 + -1 + -2)/(-3))/((-46)/(-2038881)) a prime number?", "a": "False" }, { "q": "Suppose 0 = 9*a - 8*a - 14604. Is a/10 + -3 + (-8)/20 a composite number?", "a": "True" }, { "q": "Suppose 0 = 4*w - 5*g + 176, -6*w + w - 5*g = 175. Let j = 128 + w. Let x = j + 810. Is x prime?", "a": "False" }, { "q": "Suppose 5 = -5*o, -4*n + 2*o = -o - 491. Let w = -63 + n. Is w a prime number?", "a": "True" }, { "q": "Let y = -7855 - -14196. Is y a prime number?", "a": "False" }, { "q": "Let m(f) = 3092*f - 1757. Is m(42) prime?", "a": "False" }, { "q": "Let j = -172 - -182. Let c = -126 + 615. Let n = j + c. Is n composite?", "a": "False" }, { "q": "Let u(r) be the second derivative of 679*r**4/12 + r**3/6 - r**2/2 - 3*r. Suppose 0 = -9*v + 5*v - 4. Is u(v) a composite number?", "a": "False" }, { "q": "Is (-2)/((-8)/88454)*(2 - 0) prime?", "a": "False" }, { "q": "Let w(z) = z - 1. Let m(p) = -41*p**3 - 2*p**2 + 4*p. Let l(y) = -m(y) + w(y). Is l(2) a composite number?", "a": "True" }, { "q": "Let z be (-19992)/(-1) + 0 + (-7 - -4). Suppose -2*o + z = 7*o. Suppose -5*v - 2*t = -4043, -204 = -3*v - t + o. Is v a prime number?", "a": "False" }, { "q": "Suppose 0 = -4*r - 94 - 454. Let x = 504 + 402. Let z = r + x. Is z prime?", "a": "True" }, { "q": "Let u(w) = 55*w + 438. Let v be u(-8). Let i(o) = -1 + 87*o**2 + 44*o**2 + 0 - 2*o. Is i(v) a composite number?", "a": "True" }, { "q": "Suppose 4*c + 4 = 0, 5*c = -5*f - 0*f + 156405. Is f a composite number?", "a": "True" }, { "q": "Suppose 3*j + 144 = 6*j. Let s = j + -44. Is 180 + (-8)/s + 5 composite?", "a": "True" }, { "q": "Suppose 0 = -l + u + 8404, -u + 2206 - 44218 = -5*l. Is l a composite number?", "a": "True" }, { "q": "Let m(g) = -3*g**3 - 27*g**2 - 23*g + 9. Let x be m(-19). Suppose 22*b - x = 18*b. Is b a prime number?", "a": "True" }, { "q": "Let i(z) = -2518*z - 983. Is i(-13) composite?", "a": "False" }, { "q": "Let r = -2484 + -854. Let m = -1667 - r. Is m prime?", "a": "False" }, { "q": "Suppose 9*s = -5 - 4. Let o be (s + 1)*(-12)/(-24). Suppose 0*r - 2*r = -3*m + 475, -2*r - 4 = o. Is m a composite number?", "a": "False" }, { "q": "Let n be 1/(2 + 13/(-7)). Let j(h) = 5*h**3 - 7*h**2 + 5*h - 8. Is j(n) a prime number?", "a": "True" }, { "q": "Let x be (-3)/(-1 + 10) - 18577/(-39). Let m = 807 - x. Is m a prime number?", "a": "True" }, { "q": "Suppose 6*z - 32 = 2*z. Suppose z*t - 25 = 3*t. Suppose -5*q + 5812 = 3*s, 2688 + 7012 = t*s - 5*q. Is s a composite number?", "a": "True" }, { "q": "Suppose -324970 = -5*i + 5*x, 2*x = -11*i + 7*i + 259994. Is i a prime number?", "a": "True" }, { "q": "Let r(b) = -7*b**3 - 3*b**2 - 2*b - 1. Let x = -19 + 22. Suppose -3*a + 2 = -4*a - 2*y, -x*y - 17 = 5*a. Is r(a) a composite number?", "a": "True" }, { "q": "Let w = 256303 + -141246. Is w composite?", "a": "False" }, { "q": "Suppose 24*b - 396048 = 121469 - 143093. Is b a prime number?", "a": "True" }, { "q": "Suppose -10 = -4*a + 2*a. Suppose a*l + 0 - 5 = 0, 4*h - 3*l - 329 = 0. Is h composite?", "a": "False" }, { "q": "Let s(u) = u**3 + 4*u**2 - 11*u + 13. Let r be s(6). Is 86/301 - r/(-7)*9 a prime number?", "a": "False" }, { "q": "Let q(s) = -43*s**3 - 2*s**2 - 4*s - 3. Let o be q(-4). Let c = -1933 + o. Let k = 1167 - c. Is k prime?", "a": "True" }, { "q": "Is (-2 + 3)/(1/(-411586))*9/(-18) prime?", "a": "False" }, { "q": "Let d(m) = -5*m - 54. Let p(y) = 4*y + 54. Let b(u) = -3*d(u) - 2*p(u). Is b(5) composite?", "a": "False" }, { "q": "Is (6 - 11) + (23522 - 2) composite?", "a": "True" }, { "q": "Let y = 33752 - 14115. Let q = y + -8088. Is q composite?", "a": "False" }, { "q": "Let l be (2/(-5))/((-2)/(-10)). Let n be (-1)/(-2)*(-12)/(-6)*l. Is (3/n)/(24/(-22544)) composite?", "a": "False" }, { "q": "Let v(u) = u**3 - 13*u**2 - 3*u + 20. Let d(r) = -4*r**3 + 52*r**2 + 13*r - 81. Let t(w) = 2*d(w) + 9*v(w). Let n be t(13). Suppose 8*b = n*b + 111. Is b prime?", "a": "True" }, { "q": "Suppose k + 9*t = 13*t + 2505, 0 = -k + t + 2517. Let g be 22/2*-9*16. Let r = g + k. Is r prime?", "a": "True" }, { "q": "Let k = 213 + -209. Suppose 9*o - 8584 = 5*o - k*p, -p + 10742 = 5*o. Is o prime?", "a": "False" }, { "q": "Is (-5 + (-84)/(-20))*-5 - -132627 composite?", "a": "False" }, { "q": "Suppose 9*f + m = 11*f + 261, -4*f = -3*m + 527. Let l(b) = b**3 - 7*b**2 + 5*b - 7. Let u be l(6). Let p = u - f. Is p a prime number?", "a": "False" }, { "q": "Let a be (6/8)/((-4)/(-48)). Is (-2)/a + (98448/27 - -1) composite?", "a": "True" }, { "q": "Let f = -71 + -521. Let h = f - -971. Is h a composite number?", "a": "False" }, { "q": "Suppose 0 = 2*c - 4*y - 8, 2*c = c + y + 6. Suppose 0 = -c*j + 966 + 1386. Let o = j + -103. Is o composite?", "a": "False" }, { "q": "Let t = -5212 + 18713. Is t prime?", "a": "False" }, { "q": "Let v(z) = 4*z - 3. Let b be v(17). Suppose 2*t + 3*d = t + b, -t = 4*d - 61. Is t prime?", "a": "False" }, { "q": "Let o(r) = -20*r**2 + 13*r - 45. Let g be o(6). Let l = g + 1102. Is l composite?", "a": "True" }, { "q": "Let q = -3793 - -1801. Let k = -1185 - q. Is k prime?", "a": "False" }, { "q": "Let v = 117 - 178. Suppose 955 = 5*q + 3*l, -2*q + 0*l + 4*l = -408. Let y = v + q. Is y prime?", "a": "False" }, { "q": "Suppose 0 = -9*w - 0*w - 4*s + 557529, 2*s + 309751 = 5*w. Is w a prime number?", "a": "True" }, { "q": "Suppose -3*d + d + 25 = x, 5*x - 26 = -d. Suppose 0 = 2*g - 2 - 0, g - d = -2*s. Suppose 0*j + s*h = -j + 1171, -5*j - 2*h = -5901. Is j a composite number?", "a": "False" }, { "q": "Suppose 6*y = 10*y - 20. Suppose -4*o = -0*m - y*m + 3007, 2*m - 5*o = 1213. Suppose 4*i - 417 = m. Is i a prime number?", "a": "False" }, { "q": "Let k be ((-4)/2)/(2 - 27/18). Is -5 + k + 3115 + 3 a composite number?", "a": "False" }, { "q": "Suppose -12*h = 4*l - 10*h - 1676, 4*l = h + 1676. Is l composite?", "a": "False" }, { "q": "Let f(j) = 8554*j + 837. Is f(20) a prime number?", "a": "True" }, { "q": "Suppose 0 = -24*u + 96176 + 204616. Is u a prime number?", "a": "False" }, { "q": "Suppose 5*u + 16 = 3*u. Let m be -2*((-9)/3 + (-4)/u). Suppose -4*b = 2*x - 4754, -5*b = -b - m*x - 4733. Is b prime?", "a": "True" }, { "q": "Let s = -59930 + 107799. Is s a prime number?", "a": "True" }, { "q": "Is (-1386006)/(-30) + 78/(-65) a prime number?", "a": "True" }, { "q": "Suppose 0 = -6*q + 26*q + 45*q - 176735. Is q prime?", "a": "True" }, { "q": "Let u = -3700 - -16461. Is u a prime number?", "a": "False" }, { "q": "Let b(y) = -91*y**3 - 19*y**2 - 13*y - 44. Is b(-9) a prime number?", "a": "False" }, { "q": "Let h(w) = 27*w**3 - 2*w**2 + 3*w - 2. Let k be h(1). Suppose -4*p - 2*z + 38 = 0, -3*z + 11 = -3*p + k. Suppose 0 = -6*q + p*q - 3466. Is q composite?", "a": "False" }, { "q": "Let p(a) = -2*a**3 - 16*a**2 - 17*a + 14. Let j be p(-10). Let g = 5295 + j. Is g prime?", "a": "True" }, { "q": "Let g be (-1 - (4 + -9)) + 4. Suppose g*l = 9*l - 2003. Is l a prime number?", "a": "True" }, { "q": "Let t(x) = 210*x**2 + 4*x + 31. Suppose 0 = -3*w, 5*w - 4*w = -3*a - 15. Is t(a) a prime number?", "a": "True" }, { "q": "Is 3 + (-7 - 304/(-48))/((-1)/11019) a prime number?", "a": "True" }, { "q": "Let n = 45 + -41. Suppose -2*a = j - n*j - 5, -3*a - j - 20 = 0. Is ((-4)/(-8))/((10/(-2348))/a) a prime number?", "a": "True" }, { "q": "Suppose -3*h + 10 = 4*o, o - 1 = 2*h - 4*o. Suppose -5*u = -4*s + 33, -5*u = -s + 3*s + 21. Suppose -h*r + 388 = s*r. Is r a prime number?", "a": "True" }, { "q": "Let o(s) = s**2 - 7*s + 9. Let d be o(6). Suppose -3*p + d*x + 915 = 0, -5*p - 4*x + 1251 = -292. Is p prime?", "a": "True" }, { "q": "Let z = 9400 - -10969. Is z prime?", "a": "True" }, { "q": "Suppose 3*i + 2*c - 26452 = 24859, 4*i = 2*c + 68396. Suppose -27608 = -7*j + i. Is j a composite number?", "a": "True" }, { "q": "Suppose -94792 = -5*d + r, -5*d - 2*r = -56900 - 37901. Is d a composite number?", "a": "False" }, { "q": "Suppose -2*i + 61776 = 4*m, -11 = 4*m - 3. Let a = i + -20591. Is a composite?", "a": "False" }, { "q": "Let o = 651 - 262. Let p = -192 + 195. Suppose -p*w = 158 - o. Is w composite?", "a": "True" }, { "q": "Suppose -3*f = -12*f + 181800. Suppose -f = -k - 3*k + 4*o, -k - 4*o = -5055. Is k prime?", "a": "True" }, { "q": "Let i be ((-3)/(-3)*-2)/((-14)/(-8869)). Let u = -726 - i. Is u a composite number?", "a": "False" }, { "q": "Suppose 2*y + 182 - 784 = 0. Let x = y + 652. Is x prime?", "a": "True" }, { "q": "Let f be (-1 - 9)*2/(-4). Let l(n) = 41*n**2 - 13*n + 20. Let v be l(10). Is f/20 + v/8 composite?", "a": "False" }, { "q": "Let m = -143 - -177. Suppose -33*g - 721 = -m*g. Is g prime?", "a": "False" }, { "q": "Suppose 0 = -5*r + 3*i + 3, -4*r + 7 = r - 2*i. Let c(m) = -17*m**3 + r*m + 1 + 5*m**2 - 7*m**2 + 2*m**2. Is c(-2) prime?", "a": "True" }, { "q": "Suppose 12*h - 10*h - 89586 = 6260. Is h a composite number?", "a": "True" }, { "q": "Suppose 30*a - 4447 = -757. Let i(j) = -3*j**2 + 6*j + 1. Let k be i(5). Let s = k + a. Is s a prime number?", "a": "True" }, { "q": "Suppose -3*r = 2*b - 12, 0 = -b - 0*r - 2*r + 8. Let z(c) = b + 18*c - 6*c + 33*c - 8. Is z(7) composite?", "a": "False" }, { "q": "Let c be (-12)/(-45)*-129 + 10/25. Is 3487 - (-16)/6*(-51)/c a prime number?", "a": "True" }, { "q": "Let j(z) = -z**2 + 13*z + 32. Let d be j(15). Suppose 5*a + 2*y + 50 = -d*y, -3*y = 4*a + 41. Is (-3560)/a - (-4)/28*-2 a prime number?", "a": "False" }, { "q": "Let x(p) = -17*p - 3. Let o be x(-1). Let n = -12 + o. Suppose 0 = -5*c - 10, -c = n*l - l - 975. Is l a composite number?", "a": "False" }, { "q": "Suppose 39*u - 318346 = -68391 + 508478. Is u composite?", "a": "False" }, { "q": "Suppose -3*a + 11*a = -2*a. Suppose 5*v + 4 + 16 = a, -2613 = -r - 5*v. Is r a composite number?", "a": "False" }, { "q": "Let n = 123404 + -81825. Is n a composite number?", "a": "False" }, { "q": "Is ((38/4)/(-19))/(-1 + (-8481)/(-8482)) a prime number?", "a": "True" }, { "q": "Suppose -3*r - o - 9 = -6, r - 12 = 4*o. Suppose r = 4*f - h - 16782, h + 29717 - 8740 = 5*f. Is f a composite number?", "a": "True" }, { "q": "Let f = -41 - 52. Let j = 630 + f. Is j a composite number?", "a": "True" }, { "q": "Let j(n) = -4*n**2 - 2*n + 14. Let k be j(3). Let z = k + 215. Is z a composite number?", "a": "True" }, { "q": "Suppose 2*p = 12 - 4. Suppose -2*k - p*x - 689 = -5*k, 0 = 4*k + 4*x - 872. Is k composite?", "a": "False" }, { "q": "Suppose 0 = -21*w + 20*w + 30661. Is w prime?", "a": "True" }, { "q": "Let q = 49064 + 73599. Is q prime?", "a": "True" }, { "q": "Suppose 2*p - 3*c - 54 = 0, 4*p - p = 2*c + 71. Let r = 29 - p. Suppose 5*g + 2073 = r*g. Is g prime?", "a": "True" }, { "q": "Is (6/4)/(24/46736) a composite number?", "a": "True" }, { "q": "Let f = -49601 - -130390. Is f prime?", "a": "True" }, { "q": "Let s be (7 + 0)/((-21)/(-1323)). Suppose -a = y - s, -2*y + 0*y = 4*a - 878. Is y composite?", "a": "False" }, { "q": "Let p(i) = -3*i**3 + 2*i**2 - 52*i - 91. Is p(-10) a composite number?", "a": "True" }, { "q": "Is (2 - 7/14)*58 a prime number?", "a": "False" }, { "q": "Suppose -5*l + 3500 = z, l - 2800 = -3*l + 3*z. Let i = l - 321. Is i a prime number?", "a": "True" }, { "q": "Suppose 3*c + 3*u + 43501 = 141103, 2*c = u + 65083. Is c a composite number?", "a": "True" }, { "q": "Suppose -12106 = 3*r - 165139. Suppose -10*k = 19*k - r. Is k a composite number?", "a": "False" }, { "q": "Let j be 444 - ((3 - 3) + -3 + -1). Let q = 845 - j. Is q a composite number?", "a": "False" }, { "q": "Let f(w) = 10*w + 12. Let r be f(-3). Is (-1958)/(-2)*9/r*-2 a composite number?", "a": "True" }, { "q": "Suppose -3*t - t = -44. Let x(u) = 2 - 44*u + 2 + 0 - t*u. Is x(-7) a prime number?", "a": "True" }, { "q": "Suppose 6*u = 10*u - 12. Is 15595/5*(4 - u) a prime number?", "a": "True" }, { "q": "Let m(h) be the third derivative of 77*h**5/60 + 3*h**4/8 + 2*h**3/3 - 7*h**2. Let g be m(-5). Let a = -503 + g. Is a a composite number?", "a": "False" }, { "q": "Let u be (-2)/(-2) - (-44 + 73). Is (-1994)/(-4) + (-14)/u a prime number?", "a": "True" }, { "q": "Suppose b = 5*y - 127863, -5*y + 5*b = -86984 - 40871. Is y a prime number?", "a": "False" }, { "q": "Let t = -67 - -232. Suppose -30 = -o + 4*q + t, 2*o + 2*q = 430. Is o prime?", "a": "True" }, { "q": "Suppose -3*c - 2*o = -319647, 5*c - 2*o = 319974 + 212771. Is c composite?", "a": "True" }, { "q": "Is ((-8)/(-52) + -4*25/(-195))*38397 a prime number?", "a": "False" }, { "q": "Suppose 19*g = 15*g - 3*x + 34277, -5*x = -15. Is g a composite number?", "a": "True" }, { "q": "Is (-2)/((2/4)/((-12846)/12)) prime?", "a": "False" }, { "q": "Let r(c) = c**3 - 8*c**2 - 19*c - 26. Let l be r(11). Let w = l + -49. Is w a composite number?", "a": "False" }, { "q": "Let i = 345 - 172. Let u be 2 - i/(((-4)/(-8))/(-1)). Suppose 6*q - 2*q = u. Is q a composite number?", "a": "True" }, { "q": "Let r = 17195 - 12193. Suppose 20*p - 26222 = -r. Is p a composite number?", "a": "False" }, { "q": "Suppose -d - 2*d - 131245 + 585226 = 0. Is d a composite number?", "a": "True" }, { "q": "Suppose 11*m + 10 = -56. Is (m + 7)/((-2)/(-4882)) a prime number?", "a": "True" }, { "q": "Let w(p) = 2*p**2 + 2*p - 4. Let t be w(-3). Suppose 4*q + l - 1 = 0, l - 3*l + 2 = -3*q. Suppose -k - 2*x + 43 = -0*k, q = -2*x + t. Is k composite?", "a": "True" }, { "q": "Let o be (110/8 - 1)*(-3168)/(-72). Suppose -2*g = o - 11255. Is g a prime number?", "a": "True" }, { "q": "Suppose f + 3*s = -39, -2*f + 0*s - 46 = -2*s. Let k = f + 35. Suppose k*w - 1975 = 3*w. Is w prime?", "a": "False" }, { "q": "Suppose 202*y - 761084 = 198*y + 4*g, 0 = 4*y + 5*g - 761084. Is y prime?", "a": "True" }, { "q": "Let f(d) be the second derivative of -d**5/20 + 3*d**4/2 - 4*d**3/3 + 25*d**2/2 + 46*d. Is f(16) a composite number?", "a": "False" }, { "q": "Let t(m) = m**3 + 4*m**2 + 4. Let j be t(-3). Let g(a) = 91*a - 49*a - 48*a + j*a**2. Is g(-11) a prime number?", "a": "False" }, { "q": "Let p(c) = c + 5. Let a be p(-4). Let u(q) = 2*q + 322*q**2 - 3*q + 498*q**3 - 322*q**2. Is u(a) prime?", "a": "False" }, { "q": "Let l(y) = -9*y - 76 + y + 78. Let g be l(3). Let d = g + 32. Is d composite?", "a": "True" }, { "q": "Let n(d) = 9*d**3 - 9*d + 14. Suppose 5*c = 8*c - 12. Let h be n(c). Let v = 1641 - h. Is v prime?", "a": "True" }, { "q": "Suppose 56 = 11*l - 4*l. Suppose 2*j - l = -0*j. Suppose -5*i - 20 = -i, -j*i + 432 = 2*n. Is n a composite number?", "a": "True" }, { "q": "Suppose -5*o = 3*u - 172807, 13*o = 9*o + 3*u + 138224. Is o a composite number?", "a": "True" }, { "q": "Suppose 22*w = -1898 + 1854. Let c(y) = -29*y**2 - 4*y - 8. Let o(k) = 57*k**2 + 8*k + 15. Let n(x) = 11*c(x) + 6*o(x). Is n(w) prime?", "a": "False" }, { "q": "Suppose -3*d = -2*c + 3, 6*c = 9*c + 3*d + 3. Let l be (-5573)/(-4) - 2/8. Suppose -6*o + 971 + l = c. Is o a composite number?", "a": "True" }, { "q": "Let s(b) = -4852*b - 541. Is s(-32) prime?", "a": "True" }, { "q": "Suppose -u = -135 - 75. Let v = u + -16250. Is v/(-72) - 4/(-18) composite?", "a": "False" }, { "q": "Let s(a) = 204*a + 41. Let y(z) = 36*z + 8. Let k(i) = -37*i - 8. Let v(l) = -5*k(l) - 4*y(l). Let p(o) = -2*s(o) + 11*v(o). Is p(9) composite?", "a": "True" }, { "q": "Let u(a) be the first derivative of 43*a**3 - 5*a**2 + 5*a + 3. Is u(2) a composite number?", "a": "True" }, { "q": "Suppose -191 = -6*l + 931. Let t = 86 + l. Suppose -x + t = -5*c, x = 3*c + 430 - 161. Is x prime?", "a": "True" }, { "q": "Suppose -c = 354 + 2372. Let w = c - -4897. Is w a composite number?", "a": "True" }, { "q": "Suppose -3*g = 3*h - 129984 - 97596, 303437 = 4*h + g. Is h composite?", "a": "True" }, { "q": "Let s = 41493 + 746. Is s prime?", "a": "True" }, { "q": "Let f = -2274 - -2533. Let z = 11 - 6. Suppose f = k - 5*b, -3*k + 7*k + z*b = 936. Is k a composite number?", "a": "False" }, { "q": "Suppose -67*n + 2*c - 4229 = -70*n, 5*c = -3*n + 4232. Is n prime?", "a": "True" }, { "q": "Suppose 0 = 2*m - 3*v + 4, 0 = -m - 3*m - 3*v + 28. Suppose 7*g + m + 24 = 0. Is 1190/4 - g/8 - 0 prime?", "a": "False" }, { "q": "Suppose -5*d - 3*u = -6, 0 = -4*u + 3*u - 3. Suppose 6*z + 18 = -d*z. Is (3/6)/((-7334)/3668 - z) a prime number?", "a": "False" }, { "q": "Suppose r - 140 = -2*x, 0*x - 5*x - 4*r + 353 = 0. Suppose 3*z = y + 121, -z + 3*y + x = z. Is (-6)/21 + 2154/z composite?", "a": "True" }, { "q": "Let s(a) = a**3 - 5*a**2 - a + 10. Let j be s(5). Suppose -3*b - 16 = 5*i, -23 = -j*b + 2*i + 2. Is (2/b)/((-2)/(-963)) composite?", "a": "True" }, { "q": "Let z = -101 - -101. Suppose z = -9*x + 11*x - 2138. Is x composite?", "a": "False" }, { "q": "Let c = -2806 + 5685. Is c a prime number?", "a": "True" }, { "q": "Let x = -13 - -28. Suppose x*k - 878 = 13*k. Suppose 6*j = -k + 1945. Is j composite?", "a": "False" }, { "q": "Suppose s - 3*r + 14 = -6*r, 0 = 3*s + r + 18. Is -2 + 8 - 3025/s a composite number?", "a": "True" }, { "q": "Let b(m) = 0*m**2 - 2*m - 206 + m**2 + 615 + 3*m. Suppose r = 3*h + 2, -7*h - 2 = -3*h - r. Is b(h) a prime number?", "a": "True" }, { "q": "Suppose 539058 = 3*r - 3*f, 156316 = r - 3*f - 23368. Is r a composite number?", "a": "False" }, { "q": "Suppose t = 2*w - 270859, -2*w + 5*t + 101648 = -169231. Is w a composite number?", "a": "False" }, { "q": "Let c = -3581 + -345. Let z = -915 - c. Is z prime?", "a": "True" }, { "q": "Suppose -382734 + 68171 = -15*l - 14*l. Is l a composite number?", "a": "False" }, { "q": "Let l(n) = 30*n**2 + 8*n + 3. Let r(i) = i**2 + 21*i + 24. Suppose -3*y + 23 = 83. Let x be r(y). Is l(x) a prime number?", "a": "False" }, { "q": "Let t = -10880 + 17008. Suppose 5*k - 3*i - 11890 = 3432, -2*i = -2*k + t. Is k prime?", "a": "False" }, { "q": "Suppose -4*s = -18*s + 155582. Is s prime?", "a": "True" }, { "q": "Let h be (-5)/(-2)*16/20. Suppose -5*r = 25, -4*r - 12 - 12 = -h*k. Suppose -k*b + 3*p = -146 - 640, -4*b + 2*p = -1572. Is b a composite number?", "a": "True" }, { "q": "Let n(p) be the first derivative of -341*p**2/2 - 6*p + 2. Let a be n(-3). Is ((-12)/(-18))/(6/a) prime?", "a": "True" }, { "q": "Let k(a) = 55*a**2 - a - 1. Suppose -n = -7*n + 54. Suppose -3 = -4*g + n. Is k(g) a prime number?", "a": "True" }, { "q": "Suppose -45*l + 20*l + 1082825 = 0. Is l a composite number?", "a": "False" }, { "q": "Suppose 24*a - 12 = 20*a, -a - 99126 = -3*z. Is z a composite number?", "a": "True" }, { "q": "Let w = 10744 - 3641. Is w composite?", "a": "False" }, { "q": "Suppose -142154 = -39*j + 38*j. Suppose 13*t - 200097 = j. Is t a composite number?", "a": "True" }, { "q": "Suppose 4*y = 2*n + 58 - 236, 5*y - 5 = 0. Let c = n + 502. Suppose 0 = 3*z + c - 1886. Is z a prime number?", "a": "True" }, { "q": "Suppose -k - 3018 = k. Let x = 6735 + k. Is x/4*2/3 prime?", "a": "False" }, { "q": "Let r = 153 - 151. Suppose -3*j + 2*v = -2*v + 1777, -2*v = -2*j - 1188. Is (j/2)/((-1)/2) - r composite?", "a": "True" }, { "q": "Let s = 44 + -30. Suppose -s*r = -19*r. Is 70 + (1 - (r - -2)) prime?", "a": "False" }, { "q": "Let f = -31 + 29. Is (-10790)/(-30) + f/3 composite?", "a": "False" }, { "q": "Let y be ((-1)/2)/(-1)*87196/2. Suppose -3*i + c = -y, 0 = -5*i - 0*i - c + 36321. Is i prime?", "a": "False" }, { "q": "Let j(v) = 10*v**2 + 3*v - 10. Let y be j(2). Suppose -y = 5*q - 11, 11490 = 4*p + 2*q. Suppose 4*t = 3*b - p, -2*b - 4*t = -b - 937. Is b composite?", "a": "False" }, { "q": "Suppose 5*g = -2*r - 16354, r + 3272 = -5*g + 4*g. Let v = g + 6832. Suppose 0 = -4*a + 906 + v. Is a prime?", "a": "True" }, { "q": "Let j(b) = -1748*b + 1549. Is j(-30) a prime number?", "a": "False" }, { "q": "Let x(r) = -406*r + 27. Let p(c) = -814*c + 53. Let q(w) = -6*p(w) + 11*x(w). Is q(13) a composite number?", "a": "False" }, { "q": "Let w be -5*((-14)/10)/1. Let q = -5 + w. Suppose t - 521 = -0*t + r, 0 = q*t - 3*r - 1042. Is t prime?", "a": "True" }, { "q": "Let w be (-28)/(-6)*(-501)/(-2). Let h be 99/(-1287) + (-40)/(-13). Suppose 2*d + w = h*d. Is d a prime number?", "a": "False" }, { "q": "Let u(x) = 5*x**2 + 3*x + 3. Suppose -2*o = -v + 7, -o + 4*v = v + 16. Let d be u(o). Suppose 3*y - 1609 = p, d*y - 2667 = -0*y - 2*p. Is y a composite number?", "a": "True" }, { "q": "Is -1*(9 - (-210430)/(-11)) composite?", "a": "False" }, { "q": "Suppose 7*j + 9*j = 132384. Suppose 0 = 6*w - 1128 - j. Is w composite?", "a": "False" }, { "q": "Let p = 99 - 145. Is (-2 + 0)*206563/p a prime number?", "a": "False" }, { "q": "Let y(v) = -v**3 + 14*v**2 + 4*v - 46. Let o be y(14). Is (1542/(-9))/(o/(-15)) prime?", "a": "True" }, { "q": "Suppose -2*i + 2*t - 4476 = 0, -3*i - 2*t + 1251 = 7990. Let g = 3586 + i. Is g a composite number?", "a": "True" }, { "q": "Let l be 1/((-4)/562*6/(-12)). Let f(u) = -11*u - 10. Let a be f(-6). Let d = a + l. Is d a prime number?", "a": "True" }, { "q": "Suppose h = -2*t - h - 6, h - 15 = 5*t. Let z(c) = -102*c + 8. Let x be z(t). Let b = x - -741. Is b a prime number?", "a": "False" }, { "q": "Let v(a) = a**2 - 2*a - 8. Let h be v(4). Suppose -5*m + 0*m + 5*f - 35 = h, 0 = -4*f - 20. Is (m/(-10))/((-4)/2910*-3) prime?", "a": "False" }, { "q": "Is (-2 - 62569)/(-5*(-6)/(-10)) a prime number?", "a": "True" }, { "q": "Let z = -43 + 46. Suppose 2*f + 84 = f - 3*k, -2*f = -z*k + 150. Is 1/(1 - f/(-79)) prime?", "a": "True" }, { "q": "Let j be ((-390)/(-12))/(5535/2766 - 2). Suppose 2*t = -5*k + j, -5*t + 74980 = -2*k + k. Is t a prime number?", "a": "False" }, { "q": "Suppose 5*w - 6*w = -32. Suppose -2*b + w - 4 = 0. Is b/91 + (-77253)/(-39) composite?", "a": "True" }, { "q": "Let a(c) be the third derivative of -1/12*c**4 + 0*c + 11/6*c**3 + 0 - 6*c**2 - 1/6*c**5 - 1/120*c**6. Is a(-10) prime?", "a": "True" }, { "q": "Let x(g) = 232*g**2 - 76*g - 303. Is x(-4) a prime number?", "a": "False" }, { "q": "Suppose 5*s + 2*c = 44936, -3*c = 3*s + 2*s - 44934. Suppose -5*r = -s - 10207. Is r composite?", "a": "True" }, { "q": "Let b(u) = -u**3 - 15*u**2 + 15*u - 14. Let d be b(-16). Let r(q) = -q**2 + 2*q. Let a be r(d). Suppose -5*c + 2602 + 3153 = a. Is c prime?", "a": "True" }, { "q": "Let g be (-1840)/6 - 40/30. Let d = g - -8249. Is d prime?", "a": "False" }, { "q": "Is (-17)/((-306)/4) + 350017/9 composite?", "a": "False" }, { "q": "Is 2045757/15 - -1 - (-2)/10 prime?", "a": "False" }, { "q": "Let h = -5687 + 14884. Is h prime?", "a": "False" }, { "q": "Let s(l) = l**3 - 16*l**2 + l - 4. Let k be s(16). Suppose k*c - 5*c = 3913. Is c a prime number?", "a": "False" }, { "q": "Is (-20)/(-8)*2025 - (9 + (-170)/20) a prime number?", "a": "False" }, { "q": "Let m(g) = g**2 - 11*g + 635. Is m(-42) a prime number?", "a": "True" }, { "q": "Let q(l) = -l**3 - 24*l**2 + 26*l + 27. Let d be q(-25). Suppose 0*o = 2*o + u - 836, 5*u - 828 = -d*o. Is o a composite number?", "a": "False" }, { "q": "Let w(x) = 81*x + 692. Is w(59) composite?", "a": "False" }, { "q": "Let h(u) be the third derivative of 73*u**4/8 + 67*u**3/6 + 10*u**2. Let v(m) = -109*m - 33. Let n(r) = 6*h(r) + 13*v(r). Is n(-8) a composite number?", "a": "False" }, { "q": "Suppose -3*k + 47926 = 2*m, 2*k + 28662 - 124530 = -4*m. Is m a composite number?", "a": "True" }, { "q": "Is (-4)/24*21302*-6 a prime number?", "a": "False" }, { "q": "Suppose -4*c - 5*s + 35723 = 0, 5*c - 15*s - 44705 = -11*s. Suppose -4*q + r + 23514 = 0, 2*q - 2823 = -r + c. Is q a composite number?", "a": "False" }, { "q": "Suppose d = 2*v + 78, -380 = -5*d + 5*v - 0. Suppose -64*p - 31510 = -d*p. Is p composite?", "a": "True" }, { "q": "Let b = -198 - -4289. Is b a prime number?", "a": "True" }, { "q": "Is (8633 - -1) + 7*(7 - 6) a prime number?", "a": "True" }, { "q": "Let o(r) = -r**3 - 11*r**2 - 38*r - 5. Let u be o(-16). Suppose c + 1267 = -5*y, c + 3744 = -2*c + 4*y. Let j = u + c. Is j a composite number?", "a": "False" }, { "q": "Is 2*(4 - 5)/(2*3/(-28326)) a prime number?", "a": "False" }, { "q": "Is (-5165118)/(-56)*(-2)/(-9)*2 composite?", "a": "False" }, { "q": "Suppose 11*o - 19104 + 6443 = 0. Is o composite?", "a": "False" }, { "q": "Suppose 0 = -458*y + 450*y + 1588120. Is y prime?", "a": "False" }, { "q": "Let i = 2975 + 36672. Is i prime?", "a": "False" }, { "q": "Let w = -50967 + 98398. Is w prime?", "a": "True" }, { "q": "Suppose 12*c - 415332 = 503796. Suppose c = 6*r + 8*r. Is r composite?", "a": "False" }, { "q": "Is -4*(51558/(-120) - (-12)/(-20)) prime?", "a": "True" }, { "q": "Let s = -36138 + 74731. Is s composite?", "a": "False" }, { "q": "Let h(i) = 24*i**2 + 2*i - 9. Let a be -3*-14*(-5)/(-30). Is h(a) a prime number?", "a": "True" }, { "q": "Suppose 56*b + 183469 = 69*b. Is b prime?", "a": "False" }, { "q": "Is (60484/20 - -2)*(-25 - -90) composite?", "a": "True" }, { "q": "Let j(i) = 20*i**2 + 431*i - 41. Is j(18) a composite number?", "a": "False" }, { "q": "Is 1539495/(-27)*(-3)/5 prime?", "a": "True" }, { "q": "Let c(q) = 1952*q - 1617. Is c(10) prime?", "a": "True" }, { "q": "Suppose 3*o = -4*z + 734581, -6*o + 3*o - z + 734596 = 0. Is o a composite number?", "a": "True" }, { "q": "Let b(k) = k - 8. Let j be b(14). Let w(a) = 114*a**2 - 14*a + 19. Is w(j) a prime number?", "a": "False" }, { "q": "Suppose -8021 = -3*m + 4*i, 0*i + 8023 = 3*m - 5*i. Suppose -m = 5*t - 6*t. Is t composite?", "a": "False" }, { "q": "Suppose 13*t + 6 = 10*t. Is 4199 - (t/1)/1 prime?", "a": "True" }, { "q": "Suppose -95055 = u - 7*u + 83079. Is u prime?", "a": "False" }, { "q": "Let i be (-3)/(-2)*(-2)/1 - -3. Suppose 5 = 2*o - z, 2*o - 3*o + 2*z + 10 = i. Suppose u - 2*n + 4*n - 163 = o, 486 = 3*u + 5*n. Is u prime?", "a": "True" }, { "q": "Suppose -4*g + 62305 = 5*q, 3*q - 5*g - 12432 = 2*q. Is q a composite number?", "a": "False" }, { "q": "Let c be ((6 - -3) + -3)/(3 + -5). Is 629 - (c + -5 + 6) composite?", "a": "False" }, { "q": "Is (-131607)/(-77) - (-3 - (-175)/55) prime?", "a": "True" }, { "q": "Suppose 5*g - 7908 = g. Suppose -v + 3*c + g = -c, -5*c = 4*v - 7887. Is v a prime number?", "a": "True" }, { "q": "Is (-111729 + 8)*4/(-4) a prime number?", "a": "True" }, { "q": "Let r(n) = n**3 - 15*n**2 + 14*n - 13. Suppose 5*x - 70 = -0*x. Let b be r(x). Is b/(-4)*(56 - 4) a prime number?", "a": "False" }, { "q": "Let q be -1 - (-4)/2 - -1*2. Suppose -j = -q*y - 3392, y = -j - y + 3387. Is j a prime number?", "a": "True" }, { "q": "Let d be 339/6*(-2 + 4). Let z be 124/(-2) + (-1 - -1). Let o = d + z. Is o a composite number?", "a": "True" }, { "q": "Let w = 11856 - 25090. Let x = w + 22589. Is x composite?", "a": "True" }, { "q": "Let a(z) = 7*z**3 - 13*z**2 - 14*z + 4. Let u(w) = w**3 + 1. Let o(q) = -a(q) + 6*u(q). Let t be o(14). Suppose -t*v + 106 = -v. Is v prime?", "a": "False" }, { "q": "Let y(p) = 13*p**2 + 19*p + 32. Let j be y(10). Suppose -2*c - 88 + j = 0. Is c a composite number?", "a": "True" }, { "q": "Let n = -21959 + 40660. Is n composite?", "a": "False" }, { "q": "Let n = -271 + -276. Let b = 1806 + n. Is b composite?", "a": "False" }, { "q": "Let o(m) be the second derivative of -m**3 + 31*m**2/2 + 2*m - 1. Is o(2) prime?", "a": "True" }, { "q": "Let o(y) = 22*y**3 - 5*y**2 + 35*y - 11. Is o(13) a composite number?", "a": "False" }, { "q": "Let x(k) = k**3 + 6*k**2 - 10*k - 17. Let y be x(-7). Suppose 278 = y*h - 38. Is h a composite number?", "a": "False" }, { "q": "Let f be 90/(-18) - (1 + -12). Is ((-9)/2)/(-9) - (-74619)/f prime?", "a": "True" }, { "q": "Let k(v) = -150*v**3 + 15*v**2 + 44*v - 10. Is k(-11) prime?", "a": "True" }, { "q": "Suppose -5*h + 31590 = -5*c - 7125, 3*h - c = 23225. Is h composite?", "a": "False" }, { "q": "Is 8/(-10) - 36865260/(-450) a composite number?", "a": "True" }, { "q": "Suppose -3*y - 9961663 = -82*y. Is y composite?", "a": "False" }, { "q": "Let b = 706 + -277. Suppose 133 = -8*v + b. Is v a composite number?", "a": "False" }, { "q": "Suppose 19*m = 307597 + 268177 + 665553. Is m prime?", "a": "False" }, { "q": "Let o be 1 + (-6)/14 - (-1480941)/147. Let k = o + -5480. Is k composite?", "a": "True" }, { "q": "Let x be (-581)/(-21)*(2 - (-3)/3). Suppose x*a = 78*a + 16715. Is a a composite number?", "a": "False" }, { "q": "Let q = -12747 - -158144. Is q a prime number?", "a": "False" }, { "q": "Suppose 777048 = 4537*g - 4513*g. Is g composite?", "a": "False" }, { "q": "Let q(t) = 0 + 3 - 6 + 1511*t + 945*t. Is q(1) prime?", "a": "False" }, { "q": "Let f = -18 - -20. Suppose 4*o = -14 + f. Is 2/o + 472/24 a prime number?", "a": "True" }, { "q": "Let p(o) = -2*o**3 - 9*o**2 - 31. Let b be p(-5). Is 0 - (-3279 + (b - -8)) a prime number?", "a": "False" }, { "q": "Let g(c) = 74*c + 51. Let w be g(-9). Let z = w - -2512. Is z prime?", "a": "False" }, { "q": "Let w(m) = 9104*m + 887. Is w(6) a prime number?", "a": "True" }, { "q": "Suppose -476135 - 178884 = -31*y + 135512. Is y a prime number?", "a": "False" }, { "q": "Let u(f) = 66*f**3 - 4*f**2 - 31*f + 73. Is u(4) a prime number?", "a": "False" }, { "q": "Suppose 7*i - 138 = 10*i. Let y = i + 59. Let l(d) = d**3 - 11*d**2 - 5*d - 16. Is l(y) a prime number?", "a": "True" }, { "q": "Let c = -1822 - -1257. Let o(j) = -9*j**2 + 241*j + 32. Let l be o(27). Let r = l - c. Is r prime?", "a": "False" }, { "q": "Suppose 6120*l - 500787 = 6111*l. Is l prime?", "a": "False" }, { "q": "Let p(x) be the second derivative of -x**4/12 - 5*x**3/6 + 19*x**2/2 + 3*x. Let k be p(-9). Let f(q) = -q**3 - 15*q**2 - 15*q - 18. Is f(k) a prime number?", "a": "False" }, { "q": "Let p be (-2)/1 - (-6 + -1). Let t(o) = 2*o**2 + 43*o + 65. Let i be t(-20). Suppose p*v + 0*c - 2485 = -i*c, 2*v - 1006 = -5*c. Is v a composite number?", "a": "True" }, { "q": "Let u(o) = 440*o + 31. Let q(s) = -882*s - 62. Let g(x) = -4*q(x) - 7*u(x). Is g(6) prime?", "a": "True" }, { "q": "Let a(n) = 380*n + 2. Let g(y) = -377*y - 2. Let u(h) = -4*a(h) - 3*g(h). Let o be -1*5*(-9)/(-15). Is u(o) a prime number?", "a": "False" }, { "q": "Let r be 0/(17/(-34)*(-2)/1). Is (r - (-6674)/6)*3 a composite number?", "a": "True" }, { "q": "Suppose 4*a + 46 - 22 = 0. Let c be (-2)/a*-4*(5 - 8). Suppose -5*u = -c*u - 10. Is u composite?", "a": "True" }, { "q": "Let g(s) be the third derivative of -s**5/30 - 23*s**4/24 - 3*s**3 + 17*s**2. Let j be g(-12). Let u = j + 104. Is u a prime number?", "a": "False" }, { "q": "Let w be (21/14)/(3/8). Suppose -c + w*k + 25 = -2734, -4*c - 5*k + 11078 = 0. Is c composite?", "a": "False" }, { "q": "Let a(b) = 2*b**3 + 3*b**2 - 17*b - 14. Let i(p) = -p**2 + 18*p - 19. Let o be i(16). Is a(o) prime?", "a": "False" }, { "q": "Let l(z) = 16*z - 5. Let s(q) = q**3 - 11*q**2 - 12*q + 4. Let f be s(12). Let n be l(f). Suppose t = -4*r + 3*t + 272, 0 = -r - 4*t + n. Is r a prime number?", "a": "True" }, { "q": "Let j be -2*(-4)/(16/(-3))*2. Let f be (0 + 1)/(j + (-112)/(-36)). Suppose 2863 = f*v - 2*v. Is v a composite number?", "a": "False" }, { "q": "Let n = -53 + 74. Let s = n - 21. Suppose 2*x - 7*x = -5*p - 4450, -5*x - p + 4480 = s. Is x a prime number?", "a": "False" }, { "q": "Suppose 2*n - 25 = 5*f, n + 3*f + 13 = -2. Suppose 0*l + 5*l - 20 = n. Is (7/3)/(l/4164) prime?", "a": "False" }, { "q": "Let l be -3 - -2 - (-477 - -1). Suppose 23*g - 26*g - 504 = 0. Let k = g + l. Is k a prime number?", "a": "True" }, { "q": "Let s(o) = -o**3 + 15*o**2 - 19*o + 17. Let v be s(12). Suppose -168 = -q - 4*p + v, -1193 = -3*q + p. Let b = q + -106. Is b a composite number?", "a": "True" }, { "q": "Let j(w) = 2*w**2 + 12*w + 4. Let u be j(-6). Suppose 4*b - 59 = 3*n + 21, -u*n - 105 = -5*b. Is 15/n - (-7075)/20 a composite number?", "a": "False" }, { "q": "Let l be 1/(-5) + 77/385. Let j be 0/(-2)*1 + 61. Suppose 4*c + j - 569 = l. Is c prime?", "a": "True" }, { "q": "Suppose 5*x - 18*x + 65 = 0. Let r(y) = 2*y**2 - 3*y - 5. Let w be r(-6). Suppose 2*l + x*u - 190 = w, 3*l - 447 = 4*u. Is l a composite number?", "a": "True" }, { "q": "Let b(w) = 4*w**2 + 83*w + 24. Let k be b(19). Let g = k - -388. Is g a prime number?", "a": "True" }, { "q": "Suppose -94381 = -170*i + 163*i. Is i a prime number?", "a": "False" }, { "q": "Suppose 4*r - 4*z = 37668, -4*z = 5 + 11. Suppose r = 3*f - n - 12242, -3*n + 6 = 0. Is f composite?", "a": "False" }, { "q": "Suppose -5*k + 36 = -14*k. Is (-8306)/k*(-74)/(-37) a composite number?", "a": "False" }, { "q": "Let y = 76956 + -5215. Is y a composite number?", "a": "False" }, { "q": "Suppose 2 = -9*t - 7. Let o be 27/18*(16/(-6))/t. Suppose y - 422 = z, -o*y - y = 2*z - 2089. Is y a prime number?", "a": "True" }, { "q": "Suppose -j = -2*m - 155 + 22, -4*j = -2*m - 532. Let d = j + 270. Is d a composite number?", "a": "True" }, { "q": "Suppose 53*t - 2*t + 7*t = 1430686. Is t a prime number?", "a": "False" }, { "q": "Let a be -1*(277169/(-11) - 12/(-66)). Suppose -9153 + a = 12*l. Is l a prime number?", "a": "False" }, { "q": "Let w be ((-18)/(-2))/((-33)/(-22)). Let h(a) = w + 6*a - 6*a + a**2 + 13 + 7*a. Is h(-9) a composite number?", "a": "False" }, { "q": "Let x(r) = 4*r - 1. Suppose -4*w = -6 + 2. Let f be x(w). Is 0 - ((-4332)/9 + 1/f) composite?", "a": "True" }, { "q": "Let i(h) = -5*h**3 - 2*h**2 + h + 2. Let t be i(-1). Suppose t*z + 4353 = 20549. Is z a prime number?", "a": "True" }, { "q": "Let i be (-1770)/50 + 7/5 + -2. Is (-6482)/(-3) - 12/i a composite number?", "a": "False" }, { "q": "Suppose -213705 = -3*j - 3*k, -4*k = 285*j - 289*j + 284924. Is j a prime number?", "a": "True" }, { "q": "Let m be (-4)/(((-4)/(-2))/(-2)). Suppose 7 = 2*k - f, -m*k - 3*f = -3*k + 7. Let x(p) = 77*p**2 - 2*p + 3. Is x(k) a prime number?", "a": "True" }, { "q": "Let d(c) = c**2 - 41*c - 409. Is d(72) a prime number?", "a": "True" }, { "q": "Is -7 + -3 + (114164/2 - -1) a composite number?", "a": "False" }, { "q": "Suppose 40*b + 2*c = 32*b + 56828, 4*b + 3*c = 28418. Is b composite?", "a": "False" }, { "q": "Suppose 0 = -7*w - 4419 + 17908. Suppose q - w = -143. Suppose -5*j = 669 - q. Is j a prime number?", "a": "True" }, { "q": "Let f(w) = w**2 - 4*w - 7. Let p be f(6). Suppose 2*h = -3*o + 3*h + 8287, p*h + 2781 = o. Is o a prime number?", "a": "False" }, { "q": "Suppose 31*y = 41*y + 180. Is 1242 - (-4)/(-2) - y/6 a prime number?", "a": "False" }, { "q": "Let c be 5 + 1 - (-21 + 25). Let s be (-3 + (0 - -4))/(c/8). Suppose s*j + 1087 = 5*j. Is j composite?", "a": "False" }, { "q": "Suppose -100 = 21*w - 25*w. Suppose 5*n = 2*a - w, 4*n - 2*n + 10 = -2*a. Is (-29)/2*((a - 0) + -10) a composite number?", "a": "True" }, { "q": "Let j(b) be the third derivative of b**5/30 + 3*b**4/8 + 9*b**3/2 - 15*b**2. Let m be j(-12). Let y = m + -124. Is y composite?", "a": "False" }, { "q": "Let i = 10 - 5. Let y be -1 + 1 + (35/(-1))/i. Let u(n) = -n**3 - n**2 + 12*n + 13. Is u(y) prime?", "a": "True" }, { "q": "Let r be (-127576)/(-328) - (-2)/41. Let f = 1 + -1. Is (f - r)/(-3 + 2) a composite number?", "a": "False" }, { "q": "Suppose j - 4*m = -0*j - 39, 4*j + 118 = -3*m. Let b = 65 + j. Suppose 0 = p + b - 173. Is p a composite number?", "a": "False" }, { "q": "Let y be (28/14)/(1*3/7254). Suppose 4*a - 928 = y. Is a a composite number?", "a": "True" }, { "q": "Suppose 10*b = -1582 - 156138. Let r = b + 22805. Is r composite?", "a": "True" }, { "q": "Suppose -3*l + 5*l = -628. Let w be 3062/4 + -4 + (-7)/(-2). Let x = l + w. Is x prime?", "a": "False" }, { "q": "Let h(f) = -f**2 - 10*f + 17*f + 34 + 23*f. Is h(21) composite?", "a": "False" }, { "q": "Is (-8)/10 - ((-20663812)/65 - (1 - 2)) a prime number?", "a": "True" }, { "q": "Let s(g) = -53*g**2 - g**3 - 15 - 6*g + 53*g**2. Is s(-14) a prime number?", "a": "False" }, { "q": "Let i(b) = -3326*b + 33. Let z be i(-2). Let a = z + -687. Is a a prime number?", "a": "False" }, { "q": "Let t be (18/(-15))/((-56)/10 - -5). Suppose 3*s = -t*w + 3301, -5*w = -5*s - 0*s + 5485. Is s a composite number?", "a": "True" }, { "q": "Let q(g) = -85*g. Let v be 14/21 - ((-5)/(-3))/1. Let l be q(v). Is 10/5 + l*(-9)/(-1) a composite number?", "a": "True" }, { "q": "Suppose 48*q = 47*q. Let w be 6/2 + 0/1. Suppose -2*t + 1438 = -q*t + 4*g, 2*g + 2133 = w*t. Is t a prime number?", "a": "False" }, { "q": "Suppose 70*g - 61033 - 1576897 = 0. Is g prime?", "a": "True" }, { "q": "Suppose -2*w = 0, -5*w - 38028 = -q + 70825. Is q a composite number?", "a": "True" }, { "q": "Suppose 226*d - 229*d = -40776. Suppose 991 = 3*o - d. Is o composite?", "a": "False" }, { "q": "Suppose 2521 = -2*t + 3*t + v, t = 2*v + 2509. Suppose a - 670 = -h + 169, t = 3*h - 4*a. Is h prime?", "a": "True" }, { "q": "Let u(i) be the second derivative of -13*i**3/6 + 37*i**2/2 - 16*i. Let s be u(-17). Suppose 5*v - 1753 = -s. Is v a composite number?", "a": "True" }, { "q": "Let f be ((-312)/(-40) - 9)/(4/10). Let p be (2 - 3)/1 - -5. Is p - (-132 - f) - 2 a composite number?", "a": "False" }, { "q": "Suppose -715812 = 810*f - 822*f. Is f composite?", "a": "False" }, { "q": "Let r = 10 + -96. Let t = r - -121. Suppose 0 = -36*x + t*x + 149. Is x composite?", "a": "False" }, { "q": "Let z = -22 - -34. Suppose -5532 = -16*m + z*m. Suppose 2263 + m = 2*n. Is n a prime number?", "a": "True" }, { "q": "Suppose -4*u + 6*u = 728. Suppose -3*o + 362 = -m, m = -3*o + 3*m + u. Let d = o - -11. Is d a prime number?", "a": "True" }, { "q": "Let f(d) = -d**2 + d. Let r be f(-12). Let q be r*((-3 - 1) + 1). Is (-2)/(-4 - q/(-118)) a prime number?", "a": "True" }, { "q": "Suppose -k + 0*k = -72. Let y = 239 - 234. Suppose -y*z + 23 + k = 0. Is z composite?", "a": "False" }, { "q": "Let p(l) = 22*l**2 + 8*l - 571. Is p(-44) a composite number?", "a": "False" }, { "q": "Let s be (-275)/20 - (20/(-16))/(-5). Let p(x) = -104*x + 9. Is p(s) a composite number?", "a": "True" }, { "q": "Let c(a) = 100*a**2 + 9*a - 2. Let k be c(2). Is 1061280/k + (-4)/26 a prime number?", "a": "True" }, { "q": "Suppose -3*n - 8*t = -13*t - 6, 6 = 3*n - t. Let k be (-60)/9*(6 + 0). Is 82/(n + k/22) composite?", "a": "True" }, { "q": "Suppose b + b = -3*y - 8593, 4*y + 17176 = -4*b. Let a = 782 - b. Is a composite?", "a": "True" }, { "q": "Let d be (1/1 - -24)*(-9)/(-9). Suppose 4*f = 3*z - 39, 3*z - 2 - d = 2*f. Is (-3)/(-9) - (-1 - (-190)/f) a composite number?", "a": "True" }, { "q": "Let m be (-6)/30 + (-11)/(-5). Suppose 3813 = 5*s + 4*d - d, 0 = 2*d - m. Is (-4)/(-7) - s/(-14) a prime number?", "a": "False" }, { "q": "Suppose -5*p = 23 + 132. Let d = 26 + p. Let b(z) = -3*z**3 + 8*z**2 + 13*z + 5. Is b(d) a prime number?", "a": "False" }, { "q": "Let y(f) = -126*f**3 + 4*f**2 - 65*f - 26. Is y(-9) a composite number?", "a": "False" }, { "q": "Let k(l) = 2*l**3 + 85*l**2 + 123*l + 103. Is k(-39) a composite number?", "a": "False" }, { "q": "Let o = 16 - 14. Suppose o*c - 942 = 1460. Is c a prime number?", "a": "True" }, { "q": "Let z(v) = 28*v + 50. Suppose 3*t = 4*b - 88, -3*b + b - 4*t + 44 = 0. Let j be z(b). Suppose 2*w - j - 12 = 0. Is w composite?", "a": "True" }, { "q": "Suppose 4*d - 8564 = -4*i, d - 4*i = 6*d - 10701. Let a = d + -942. Is a a prime number?", "a": "False" }, { "q": "Suppose -3*w + j + 2115 = 0, -2*w + 2*j + 1528 = 122. Suppose -2*g + 11*c = 9*c - 2, 20 = 5*c. Suppose -g*k - w = -a, 3*a - 2035 = 4*k + 28. Is a prime?", "a": "False" }, { "q": "Let d(l) be the second derivative of 13*l**4/12 + l**3 + 7*l**2/2 - 5*l - 4. Is d(6) prime?", "a": "False" }, { "q": "Let g = -84 + 18. Let w = 177 - g. Let i = 10 + w. Is i a prime number?", "a": "False" }, { "q": "Let d = 91 + -52. Let q be (47889/204)/(6/32). Let o = q - d. Is o prime?", "a": "True" }, { "q": "Suppose 0 = 5*i - j - 36, 4*j + 32 = -i + 5*i. Is -1 - (-1857)/3 - (-3 + i) a composite number?", "a": "True" }, { "q": "Let v(w) be the first derivative of 11*w**6/120 + 3*w**4/8 - 5*w**3/6 + 3*w**2/2 + 9. Let h(q) be the second derivative of v(q). Is h(3) a prime number?", "a": "False" }, { "q": "Let r = 1 + -1. Let m be (1/(-1))/(24 + -25) + 32. Suppose h - m - 320 = r. Is h prime?", "a": "True" }, { "q": "Let j be (-15)/(-6)*(-60)/(-25). Let i(y) = -5 + j*y - y - 5. Is i(5) composite?", "a": "True" }, { "q": "Let k(f) = 33*f**3 - 3*f**2 - 9*f + 9. Let r be k(5). Suppose 0 = -21*l + 3*l + r. Is l composite?", "a": "False" }, { "q": "Is (-42111968)/(-128) - -27 - (3/4 - 1) a prime number?", "a": "True" }, { "q": "Suppose -86*r = -2209058 - 3500779 + 95155. Is r a composite number?", "a": "False" }, { "q": "Let h = 1572 + 7009. Is h a prime number?", "a": "True" }, { "q": "Let g(n) = -254*n**3 - 3*n**2 - 6*n - 4. Is g(-1) composite?", "a": "True" }, { "q": "Let d(y) be the third derivative of -19*y**4/24 - 4*y**3/3 + 12*y**2. Let f be d(-8). Suppose -6*r = f - 10302. Is r prime?", "a": "True" }, { "q": "Suppose 10*d = -0*d + 846821 - 292191. Is d prime?", "a": "False" }, { "q": "Let g(o) be the first derivative of -o**4/4 + 19*o**3/3 - 21*o**2/2 + 20*o + 32. Is g(13) composite?", "a": "False" }, { "q": "Let v be 14/8 - 4/(-16). Suppose v*c - 111 = 7. Let i = 138 - c. Is i a prime number?", "a": "True" }, { "q": "Let h = -41 + 45. Suppose 3*d - h*d = 14. Is 2620/(-6)*21/d a composite number?", "a": "True" }, { "q": "Suppose -4*z - 254 = -2*d, 4*d = 6*z - z + 508. Suppose -x + d = -532. Is x a composite number?", "a": "False" }, { "q": "Let j(k) be the second derivative of -13*k**4/12 + k**3/2 + 12*k**2 - 9*k. Let z be j(-11). Is 4/(-6) + z/(-6) composite?", "a": "False" }, { "q": "Let j(t) = 248*t + 1383. Is j(46) a prime number?", "a": "True" }, { "q": "Suppose 8*j - 2400 = -2*j. Is 6/(j/114 - 2) prime?", "a": "False" }, { "q": "Let k(n) = -10*n**3 - 2*n**2 - n. Let s be k(-1). Let w(v) be the second derivative of v**4/12 - v**3/6 + v**2 + 141*v - 2. Is w(s) a composite number?", "a": "True" }, { "q": "Let t(m) = 3666*m - 49. Is t(2) a composite number?", "a": "False" }, { "q": "Suppose 0 = -3*y - 6, -12 - 3 = p + 4*y. Let a(g) = -46*g + 15. Is a(p) composite?", "a": "False" }, { "q": "Suppose -6 = -c - 2*c + 3*v, 0 = -5*v + 15. Suppose -5 = b - 4*q + c, -b + 5*q = 12. Is (0 - (-2 - -3)) + b + 488 a prime number?", "a": "False" }, { "q": "Suppose -230253 = -3*q - 3*k, 0 = q + 2*k - 3*k - 76755. Is q a prime number?", "a": "True" }, { "q": "Suppose 0 = -2*k + 3*k + m, 0 = 4*m. Is k + 2 + -6 + (-2 - -2617) composite?", "a": "True" }, { "q": "Let r = 69 + -86. Is (-23275)/r - (-42)/(-357) prime?", "a": "False" }, { "q": "Suppose -50 = -14*r + 104. Suppose 1617 = r*p - 2486. Is p a prime number?", "a": "True" }, { "q": "Suppose -3*j + 4*j = 12. Suppose -3 = 3*s - j. Is ((-2)/s)/(4/(-534)) prime?", "a": "True" }, { "q": "Let m = -535 + 2708. Is m prime?", "a": "False" }, { "q": "Let g(n) = 6*n**2 + 5*n - 424. Is g(19) a prime number?", "a": "False" }, { "q": "Suppose -4791 = -184*u + 183*u. Suppose -u - 4992 = -9*b. Is b prime?", "a": "True" }, { "q": "Suppose -8*n + 14*n = 12. Suppose -5*u - 5*r = -1350, n*r + 12 = 6*r. Is u a prime number?", "a": "False" }, { "q": "Is 235971/(10 - 1)*(-2 - -3) a composite number?", "a": "True" }, { "q": "Let p = 62193 + -23762. Is p a composite number?", "a": "False" }, { "q": "Suppose 16123 = -12*m + 14*m - 5*k, -3*m + k = -24178. Is m a prime number?", "a": "True" }, { "q": "Is (-8)/(-12)*45/30 - -74580 a composite number?", "a": "True" }, { "q": "Let b be ((-5)/(-2))/1*(-37 - -39). Suppose -3*g + 6*g - 2*o - 21207 = 0, -b*g + 5*o = -35350. Is g prime?", "a": "False" }, { "q": "Suppose 0 = -b + 4*z + 150817, -8*z = 5*b - 5*z - 754016. Is b a prime number?", "a": "False" }, { "q": "Suppose 561686 = 26*w - 1656036. Is w prime?", "a": "True" }, { "q": "Suppose 0 = 4*t - 2*j - 9266, -14275 = -5*t + 5*j - 2690. Let y = 1279 + t. Is y composite?", "a": "True" }, { "q": "Let x be (-3 - 21/(-9))/(6/(-81)). Suppose -15 = 4*r - x*r. Suppose -b + 1867 = r*b - c, 4*b = -4*c + 1872. Is b prime?", "a": "True" }, { "q": "Suppose -141*m + 135*m + 218028 = 0. Is m composite?", "a": "True" }, { "q": "Let r be (-72)/(-16)*(-344)/6. Let x = r - -720. Suppose -3*t - 3*t + x = 0. Is t composite?", "a": "True" }, { "q": "Let s be 0/(-4 - (-1 + (-1 - 1))). Is (s + 381/6)*(-9 + 31) a prime number?", "a": "False" }, { "q": "Suppose -2*x + 3*b + 80 = -b, 4*b + 206 = 5*x. Suppose -5*c + x = -3*u, -3*c - 2*c + 46 = -4*u. Is 321 - (-6 + c - 2/(-1)) prime?", "a": "False" }, { "q": "Let d = -118 - -118. Suppose v + 3*a = 193 + 129, 3*v - 5*a - 952 = d. Is v composite?", "a": "True" }, { "q": "Suppose -2*o + 3*h - 15 = 1, 2*h - 6 = -o. Let v be (1824 - -4)/((2 + -3)*o). Is (-63)/6*v/(-3) a prime number?", "a": "False" }, { "q": "Suppose -107*u = -n - 112*u + 232490, n - 232497 = 2*u. Is n composite?", "a": "True" }, { "q": "Is (-93 + 96)/(6/9878) a composite number?", "a": "True" }, { "q": "Let z be ((-4)/(-3))/((-2)/(-933)). Let q = z - -881. Suppose 0 = -7*b - q + 6137. Is b composite?", "a": "True" }, { "q": "Is 174706/22 - ((-156)/33)/(-26) composite?", "a": "True" }, { "q": "Suppose 0 = 48*r + 27*r - 6034725. Is r a composite number?", "a": "True" }, { "q": "Let u = -10 - -7. Let h be ((-92)/(-28) + u)*7. Suppose -s - 274 - 1202 = -h*d, 5*d - 3703 = -4*s. Is d composite?", "a": "False" }, { "q": "Suppose 8*q - 42 = 6. Is (-32900)/(-141) + (-2)/q a composite number?", "a": "False" }, { "q": "Let x(o) = 13*o**3 - 2*o**2 - 18*o + 30. Let p be x(5). Suppose -p = -40*r + 37*r. Is r a composite number?", "a": "True" }, { "q": "Let g(p) = 177*p**2 + 18*p - 67. Let j = -217 - -221. Is g(j) a composite number?", "a": "False" }, { "q": "Let j = 691800 + -481273. Is j prime?", "a": "True" }, { "q": "Let q = 119 - 119. Suppose q = -6*j + 1461 + 4005. Is j composite?", "a": "False" }, { "q": "Suppose -3583293 = -148*f - 371545. Is f prime?", "a": "True" }, { "q": "Let n(c) = -83*c**3 + 4*c**2 + c - 7. Is n(-8) a composite number?", "a": "False" }, { "q": "Let i(z) = -4*z + 4*z - z + 6. Let a be i(10). Is -3 + 0 + 2 - a*108 composite?", "a": "False" }, { "q": "Let f be -3 + -1 + 10*-79. Let p = -2362 - f. Let u = -869 - p. Is u a prime number?", "a": "False" }, { "q": "Is (40/(-5) + 273322/3)/(6/9) prime?", "a": "True" }, { "q": "Suppose 305 + 91 = 4*d. Suppose d = 3*r + 3*f, 4*r - 9*r + 153 = -f. Is r a prime number?", "a": "True" }, { "q": "Suppose -19*c + 21*c = 56. Suppose -3*o - 5*m - c + 47291 = 0, -4*o + 2*m = -63052. Is o a prime number?", "a": "True" }, { "q": "Suppose -431*r = -434*r + 35997 + 8856. Is r a prime number?", "a": "True" }, { "q": "Is (-4)/(-10) - (-1582272)/670 prime?", "a": "False" }, { "q": "Suppose -7*k = 2*k - 371739 - 1017690. Is k prime?", "a": "False" }, { "q": "Suppose -3 = -3*r, 72*h - 5*r - 400754 = 71*h. Is h prime?", "a": "True" }, { "q": "Let l(r) be the first derivative of 7*r**4/2 + r**3/3 + 3*r**2/2 - 3*r - 4. Let u be l(2). Suppose -19 - u = -3*n. Is n prime?", "a": "False" }, { "q": "Suppose 0 = -4*r + 3*f - 71, 0 = r - f + 5*f + 32. Let v be 2*2/r - 2704/(-20). Let t = -50 + v. Is t a composite number?", "a": "True" }, { "q": "Let o = -3 - -8. Suppose a - o*x - 305 = 0, -4*x + 2*x = 2*a - 622. Suppose 0 = 5*c - 1015 - a. Is c a composite number?", "a": "True" }, { "q": "Suppose 0 = -54*i + 5056557 + 10505433. Is i composite?", "a": "True" }, { "q": "Let n(s) = 4 - 15*s**3 - 5 + s**2 + 4 - 2. Let u = 8 - 12. Is n(u) composite?", "a": "False" }, { "q": "Suppose -10*s - 25 = -15*s. Let i(j) = -j**3 + 5*j**2 + j - 1. Let f be i(s). Let d(t) = -t**2 + 13*t - 13. Is d(f) composite?", "a": "False" }, { "q": "Let x(o) = -2219*o - 6. Let q(d) = 2218*d + 7. Let t(p) = 4*q(p) + 5*x(p). Is t(-1) a composite number?", "a": "False" }, { "q": "Let x(n) = -3*n + 20. Let t be x(5). Suppose 5*i - 4*p - 27937 = 0, -t*p - 15 = -0*p. Is i composite?", "a": "True" }, { "q": "Suppose 5*n - 2 = -2. Let t = n - 43. Let g = t + 50. Is g a composite number?", "a": "False" }, { "q": "Let p = 98689 + 44882. Is p a prime number?", "a": "False" }, { "q": "Let j(d) = -d**3 - 18*d**2 - 17*d + 22. Let n be j(-18). Let s = n - 173. Let y = 54 + s. Is y a composite number?", "a": "True" }, { "q": "Suppose 17 = -22*o + 83. Suppose -16 = -a - 3*a, 0 = -3*s + o*a + 1197. Is s a prime number?", "a": "False" }, { "q": "Let w be ((-282)/(-7))/(8/(-56)). Let t = 652 + w. Let g = -211 + t. Is g prime?", "a": "False" }, { "q": "Let q = 90 + -254. Let z = q - -279. Is z composite?", "a": "True" }, { "q": "Let m = -248855 - -444988. Is m a composite number?", "a": "True" }, { "q": "Suppose -g = 16 - 18. Suppose g*a = -4*d - 2 - 8, 5*d = -5*a - 50. Is a/45 + (-598)/(-3) a composite number?", "a": "False" }, { "q": "Suppose -29*c + 558668 = -443655 - 98256. Is c composite?", "a": "False" }, { "q": "Let n = 8823 + -6081. Suppose -5*u + n = 497. Is u a prime number?", "a": "True" }, { "q": "Suppose -3*y + 3*d - 65971 + 440515 = 0, -2*y + 5*d + 249699 = 0. Is y prime?", "a": "True" }, { "q": "Let c be (-3)/2*4/(-3) - -4. Let x be c - (0/(-5 - -1))/(-1). Is x/9*(-1899)/(-2) composite?", "a": "True" }, { "q": "Let o = 903 + 12499. Is o composite?", "a": "True" }, { "q": "Is 2 + (-2003357)/(-15) + -4*5/150 a composite number?", "a": "False" }, { "q": "Let g(q) = -2*q - 2. Let u be g(24). Is 3694*1*(-25)/u prime?", "a": "True" }, { "q": "Let z(v) = 10*v + 43. Let c be z(-4). Suppose -3*l - m = -13618, c*l - m - 18169 = -l. Is l prime?", "a": "False" }, { "q": "Let p be ((-7860)/(-14))/(55/385). Suppose -2*n = -10, 0*d + 2*n - 1 = 3*d. Suppose 2*r - u = -d*r + 3940, -5*r = u - p. Is r prime?", "a": "True" }, { "q": "Suppose -85*o = -3*t - 84*o + 29858, -49764 = -5*t + o. Is t a prime number?", "a": "False" }, { "q": "Suppose 7*l - 97769 + 79384 = 105382. Is l a composite number?", "a": "False" }, { "q": "Let r be 54/12*(-8)/(-3). Let a(n) = -11 + r*n - 11 - 22*n. Is a(-6) composite?", "a": "True" }, { "q": "Let r(t) = -10*t**2 + 5*t + 27. Let g(q) = q**2 - 2*q - 1. Let b(k) = 2*g(k) - r(k). Is b(9) a composite number?", "a": "True" }, { "q": "Let f(q) = 3117 - 3*q - q**2 + 3*q**2 + q + 0*q. Is f(0) a prime number?", "a": "False" }, { "q": "Let b = -76695 - -144104. Is b prime?", "a": "True" }, { "q": "Let j(s) = -143*s - 77*s + 6 - 155*s - 5. Is j(-6) a prime number?", "a": "True" }, { "q": "Let h = -9 + 13. Is -2*(0 + h - 2171/26) composite?", "a": "True" }, { "q": "Suppose 62*a - 368257 = 8*a - 7*a. Is a prime?", "a": "True" }, { "q": "Suppose 0 = 10*f - 508 - 642. Let t = f - -2176. Is t a composite number?", "a": "True" }, { "q": "Suppose k = -2*k + 441. Let q be 21/k - 16/14. Is (-382)/4*(-1 + q) a prime number?", "a": "True" }, { "q": "Let s(c) = -1918*c - 199. Is s(-12) a prime number?", "a": "True" }, { "q": "Let z = 47 - 53. Let g be (-4)/z + 108456/(-36). Is ((-6)/(-4))/((-18)/g*1) composite?", "a": "False" }, { "q": "Let m(z) = -9*z**2 + z - 6 + 15 + 7*z**3 + 0*z - 9*z**2 + 15*z**2. Let q be -1 - 0 - -5*1. Is m(q) composite?", "a": "True" }, { "q": "Let u(f) = -30885*f + 581. Is u(-6) a prime number?", "a": "False" }, { "q": "Let k(v) = 385*v - 43. Let u(l) = -l**3 - 5*l**2 + 7*l + 14. Let b be u(-6). Is k(b) composite?", "a": "False" }, { "q": "Suppose -8*x = -865607 + 235375. Is x a prime number?", "a": "True" }, { "q": "Let n be (50 + -48)/(2/7 + 0). Suppose n*y = 4157 - 1294. Is y a composite number?", "a": "False" }, { "q": "Let z(q) = q**2 + 13*q - 12. Let f be z(-15). Suppose -f*x = -9*x - 2313. Is x a composite number?", "a": "False" }, { "q": "Let k(a) = -3*a + 67. Let i be k(25). Let p(z) = -236*z - 41. Is p(i) a prime number?", "a": "True" }, { "q": "Let c = 26 + -14. Is 6/(c/670) - 6 a composite number?", "a": "True" }, { "q": "Suppose 70563 = 23*q - 203275. Is q a prime number?", "a": "False" }, { "q": "Suppose -3*b + l + 8 = 0, 2*b + 2*l = -0*b. Suppose 5*c = w + 4207, -w + 6*w = -b*c + 1672. Is c a prime number?", "a": "False" }, { "q": "Let m(p) be the first derivative of 4*p**3 - 3*p**2 - 7*p - 53. Is m(-9) prime?", "a": "True" }, { "q": "Let l = -186 + 165. Let t = 3 + 44. Let m = l + t. Is m composite?", "a": "True" }, { "q": "Suppose 21*t = 201 + 114. Suppose -t*h + 1257 = -12*h. Is h prime?", "a": "True" }, { "q": "Let l = -29803 - -85566. Is l a composite number?", "a": "False" }, { "q": "Let p be 1/(5/2033) + (-14)/(-35). Let g be 0 + 3*5/3. Suppose p + 1458 = g*x. Is x prime?", "a": "True" }, { "q": "Suppose -3*t - 4*k = -337175, -t + 5*k + 57524 = -54893. Is t composite?", "a": "False" }, { "q": "Let y = -36 - -65. Let s = y + -29. Suppose -5*o + 80 + 165 = s. Is o prime?", "a": "False" }, { "q": "Suppose 3*f - 3*o - 12 = 0, 4*o = 7*f - 5*f - 16. Let n = -3 - -3. Suppose f*p - 4*p + 1076 = n. Is p a composite number?", "a": "False" }, { "q": "Suppose 2*p + 5*l + 5 = 7*p, -5*p + 4*l = -7. Let a(n) be the second derivative of 4*n**4 - 2*n**3/3 + n**2 - n. Is a(p) prime?", "a": "False" }, { "q": "Suppose q + 2 = 2*n, 4*q + 4*n = n + 25. Suppose 3 - 23 = q*l. Let s(c) = 6*c**2 + 8*c + 21. Is s(l) prime?", "a": "True" }, { "q": "Suppose 231*i - 4 = 229*i. Suppose -4*t + 3172 = -5888. Suppose -3*m + 2*u + t = 0, m + 1512 = 3*m - i*u. Is m a composite number?", "a": "True" }, { "q": "Let a(b) = 57*b**3 - 15*b**2 - 33*b + 46. Is a(9) a composite number?", "a": "False" }, { "q": "Let z(u) = 753*u**2 - 4*u + 7. Let m be ((-6)/(-12))/((-4)/16*-1). Is z(m) a prime number?", "a": "True" }, { "q": "Suppose -5*s + 4 = -4*o - 0, -4 = s. Is 5/((-30)/o) + 808 a prime number?", "a": "True" }, { "q": "Let g = 6375 + 2282. Is g composite?", "a": "True" }, { "q": "Suppose 39*a - 44*a + 10220 = 0. Suppose 0 = g + p - a, 3*g - 4756 - 1341 = 4*p. Is g prime?", "a": "True" }, { "q": "Let i(w) = -680*w - 24. Let s(x) = -136*x - 5. Let p(j) = 6*i(j) - 28*s(j). Let z be p(-2). Suppose 538 = o - 3*c, -z = -o + c - 0*c. Is o composite?", "a": "False" }, { "q": "Suppose 24 = d + 4*p, d + 0*d + 3*p - 19 = 0. Suppose -3*b - 4*y = -6367, -2*b - y - 4263 = -d*b. Is b composite?", "a": "False" }, { "q": "Let i(f) = f**2 - 4*f - 79. Let l be i(11). Is (-1 - (4/(-2) - l)) + 398 a composite number?", "a": "False" }, { "q": "Suppose -2*v - 41312 = -4*t, -t = -0*t + 2*v - 10323. Let b = 18672 - t. Suppose -4*s = s - b. Is s a composite number?", "a": "False" }, { "q": "Let f = 10037 - 24379. Let j = f - -10070. Is 10/(-55) + (j/(-22) - 3) a prime number?", "a": "True" }, { "q": "Let r(b) = -2*b**2 - 6*b + 20. Let s be r(-5). Suppose s = 10*w - 9*w - 2045. Is w prime?", "a": "False" }, { "q": "Let c(k) be the first derivative of k**4/4 + 5*k**3 + 8*k**2 + 11*k + 47. Is c(-12) prime?", "a": "True" }, { "q": "Let r be (-10)/((-10)/4 + 2). Let n be (-4)/5*r/(-8). Suppose n*d + 6*u = 2*u + 72, -d + 5*u + 43 = 0. Is d prime?", "a": "False" }, { "q": "Suppose 315 - 111 = 6*y. Suppose -14*z - 17780 = -y*z. Is z a composite number?", "a": "True" }, { "q": "Let p = -41 - -35. Let c(u) = u + 4. Let s be c(p). Is (-3)/s*(-20106)/(-27) a composite number?", "a": "False" }, { "q": "Let h = 8 - 6. Is 2/(-5) - h*(-68541)/30 prime?", "a": "False" }, { "q": "Let o(w) = -4*w**3 + 28*w**2 - 146*w + 83. Is o(-24) a composite number?", "a": "False" }, { "q": "Let a(r) = r + 3. Let v be a(-5). Let m be 3*1/(-3)*v. Is (18 - 19)/(m/1366*-1) a prime number?", "a": "True" }, { "q": "Let i(c) = -2214*c - 10. Let n be i(-1). Let s = n + 5115. Is s a composite number?", "a": "True" }, { "q": "Is ((-132)/55)/(3/10) + 103217 composite?", "a": "True" } ]