[ { "q": "Let d be (-9)/(-4)*(22 + 680/(-60)). Calculate the highest common factor of 4152 and d.", "a": "24" }, { "q": "Suppose 0 = 2*a + 3*a - 150. Let p = 106 - 101. Suppose -3*b + w + 544 = 3*w, -p*b - 5*w = -910. What is the greatest common factor of b and a?", "a": "30" }, { "q": "Let l = -120 + 2712. Calculate the highest common factor of l and 32.", "a": "32" }, { "q": "Suppose 0 = -f - 7*i + 2*i + 18, -2*i = -5*f + 90. Suppose -f - 222 = -8*s. What is the greatest common factor of s and 18?", "a": "6" }, { "q": "Let d be ((500/60)/(-25))/((-1)/3393). What is the greatest common divisor of 52 and d?", "a": "13" }, { "q": "Suppose -x + 243 = q, -6*q + q + 1222 = -2*x. Suppose 4*t - q = -0*t. Suppose -2*p = -0*p + 5*a - t, 2*a = p - 8. What is the highest common factor of 90 and p?", "a": "18" }, { "q": "Suppose 3*i + 62 = s, i - 160 + 50 = -2*s. Let r be -5*(-4)/(-10) + 2*71. Calculate the highest common factor of s and r.", "a": "28" }, { "q": "Let v(n) = -157*n - 144. Let u be v(-2). Calculate the highest common divisor of 306 and u.", "a": "34" }, { "q": "Suppose 43*z - 36*z - 84 = 0. Let n be 190/(6/3) - 2. Suppose 33 = -5*c + n. What is the greatest common divisor of c and z?", "a": "12" }, { "q": "Let f = -4174 - -4454. What is the greatest common divisor of f and 490?", "a": "70" }, { "q": "Let u = -24 + 63. Let a be u - 2*(-6)/(-3). Suppose -a = 4*h - 91. What is the highest common factor of 70 and h?", "a": "14" }, { "q": "Suppose -s + 207 - 203 = -3*j, j - 5*s = -34. Let u be (1*-11)/(2/(-2)). Calculate the highest common factor of j and u.", "a": "1" }, { "q": "Suppose x - 20 = 2*w, -3*x - 5*w + 12 = -37. Let f(s) = 12 - 7*s + 10 - x. Let i be f(-6). What is the greatest common divisor of 115 and i?", "a": "23" }, { "q": "Let t(o) = o**3 - 9*o**2 - 23*o + 1. Let d be t(11). Let v(u) = -5*u - 24. Let b be v(d). Calculate the greatest common divisor of 91 and b.", "a": "13" }, { "q": "Suppose 0 = -0*p + 2*p - 66. Suppose -3*r - 3 + p = 0. Let j be ((-24)/r)/(-4 - 116/(-30)). Calculate the highest common factor of j and 36.", "a": "18" }, { "q": "Let l be (-18)/4 + 5/2 + -3. Let p be 63/3 + 6 + l. What is the greatest common factor of 143 and p?", "a": "11" }, { "q": "Let b be 102 + -5 + 1 + -3. What is the greatest common divisor of 5 and b?", "a": "5" }, { "q": "Let t(k) = 13*k**2 - 32*k - 60. Let w be t(-6). Calculate the highest common divisor of 56 and w.", "a": "8" }, { "q": "Suppose 26*v - 24*v = -5*r + 465, -115 = -r + 4*v. Calculate the highest common factor of 304 and r.", "a": "19" }, { "q": "Let g be (-4)/((-3)/4*(-170)/(-255)). Calculate the highest common factor of 238 and g.", "a": "2" }, { "q": "Let s = -219 - -215. Let y be 550/15 + ((-42)/9 - s). What is the highest common factor of 18 and y?", "a": "18" }, { "q": "Let w(p) = -37*p + 316. Let i be w(8). What is the greatest common divisor of i and 2380?", "a": "20" }, { "q": "Let f = -4062 - -4083. What is the highest common divisor of 651 and f?", "a": "21" }, { "q": "Let m = 1339 + -1339. Suppose 2*i + 0 = 4. Suppose i*x - 6*x + 36 = m. What is the highest common factor of 99 and x?", "a": "9" }, { "q": "Let t(f) = -f**3 + 12*f**2 + 14*f - 5. Let l be t(13). Let s = l - 4. Suppose 4*x = s*b - 60, b + 5*x - 2 = -b. Calculate the highest common factor of b and 1.", "a": "1" }, { "q": "Suppose -3*r + 131 = -4*f - 883, -2*f = 3*r - 1032. Let p be (r/45)/(4/190). What is the greatest common factor of 19 and p?", "a": "19" }, { "q": "Let o(h) = -54*h - 1369. Let g be o(-31). What is the greatest common divisor of g and 40?", "a": "5" }, { "q": "Let u = -2058 + 2068. Calculate the highest common factor of 108 and u.", "a": "2" }, { "q": "Let b(d) = -d**2 - 8*d - 4. Let a be b(-6). Let y = 31 - 28. Suppose 2*r - 93 - 7 = -y*x, 2*r = -5*x + 164. What is the greatest common factor of a and x?", "a": "8" }, { "q": "Let l be 222/(-14) + 15 - (-516)/14. Let y(x) = 4*x - 12. Let k be y(12). Calculate the highest common factor of k and l.", "a": "36" }, { "q": "Let k be 4 - (-6 + -6)/(-12). Calculate the highest common factor of 31 and k.", "a": "1" }, { "q": "Let f(i) = 6*i + 40. Suppose -4*g - 83 = -5*s, 0*s = -2*s - g + 28. Let j be f(s). Calculate the highest common divisor of 10 and j.", "a": "10" }, { "q": "Suppose 44 - 6 = 19*z. Suppose -y - z*y + 540 = 0. What is the greatest common factor of 30 and y?", "a": "30" }, { "q": "Let u(c) = -c**3 - 5*c**2 + 14*c - 1. Let s be u(-7). Let b be (1 + -2)/s + 4. Calculate the greatest common factor of 80 and b.", "a": "5" }, { "q": "Suppose -4*i + 12 = -2*i. Suppose -i*g - 35 = -119. Let d = -139 + 293. Calculate the highest common divisor of g and d.", "a": "14" }, { "q": "Let o be -10*1 + 0 + -1. Let n(h) = 7 + 11 - h - 24 + 13. Let b be n(o). Calculate the greatest common divisor of b and 2.", "a": "2" }, { "q": "Suppose 31 + 329 = 4*j. Let y be (-3)/(-7) + (-7)/((-49)/186). Calculate the greatest common factor of j and y.", "a": "9" }, { "q": "Let c = 83 + -20. Let n = 1241 + -1223. Calculate the greatest common factor of c and n.", "a": "9" }, { "q": "Let m = -1623 - -2975. What is the highest common divisor of 8 and m?", "a": "8" }, { "q": "Let w(q) = 3*q. Let o = 31 - 30. Suppose -2*y = -3*v + 3, -4*y - 4 + o = -3*v. Let j be w(v). What is the greatest common factor of 1 and j?", "a": "1" }, { "q": "Let z = -2001 - -2365. Calculate the highest common factor of 52 and z.", "a": "52" }, { "q": "Suppose -38 = -4*k + 34. Suppose 0 = 7*z - 28*z + 2646. What is the highest common divisor of k and z?", "a": "18" }, { "q": "Let y = -6173 - -9490. What is the greatest common factor of 31 and y?", "a": "31" }, { "q": "Suppose -29*i + i + 1260 = 0. Let h = 75 + i. Suppose 0 = -4*a + 4, -5*u - 4*a = 24 - 103. What is the highest common factor of u and h?", "a": "15" }, { "q": "Let w = 232 - 217. Let s be (54/w)/((-9)/(-90)) + -1. What is the highest common divisor of s and 14?", "a": "7" }, { "q": "Let s(m) = 38*m + 48. Let w = -233 - -236. Let k be s(w). What is the highest common factor of 18 and k?", "a": "18" }, { "q": "Let b = 50 + -42. Suppose -4 = -3*c - l + b, 2*l + 26 = 4*c. Suppose 0 = -d - c*d + 552. What is the greatest common divisor of 23 and d?", "a": "23" }, { "q": "Suppose -91*l = -331 - 124. Suppose -3*u + 270 = 2*u - v, 0 = -3*u + 4*v + 145. What is the highest common divisor of l and u?", "a": "5" }, { "q": "Let h(q) = -236*q - 12. Let w be h(-4). Suppose 5*g = -4*d + 756 - 5, 0 = -5*d - 4*g + w. Let p = 23 - 0. Calculate the greatest common divisor of d and p.", "a": "23" }, { "q": "Let o = 9 - -9. Suppose -206*c + 417*c = 214*c - 1404. What is the highest common divisor of c and o?", "a": "18" }, { "q": "Let c be (-16)/(-7) - 18/63. Suppose 4*m = -m + 1025. Suppose 5*w = v + m, 82 = 3*w + c*v - 28. What is the greatest common factor of 5 and w?", "a": "5" }, { "q": "Suppose 6*k + 5*w - 1055 = 975, -3*k + 2*w + 1024 = 0. Calculate the highest common factor of k and 1105.", "a": "85" }, { "q": "Let z(s) = s**2 - 60*s + 119. Let k be z(0). Let b be (14/(-4))/((-2)/4). What is the greatest common divisor of k and b?", "a": "7" }, { "q": "Let z be (-4950)/(-36) + (-1)/2. Suppose 0 = -18*a + z + 367. What is the highest common divisor of 28 and a?", "a": "28" }, { "q": "Suppose 5*w = 3*s + 1338, 2*w - 5*s = -w + 790. What is the highest common factor of w and 135?", "a": "135" }, { "q": "Suppose 5*w + 3 = i + 12, 0 = 3*w - 5*i - 1. Suppose -w*j + 30 = 4*j. Suppose 0 = j*x - 61 - 139. What is the greatest common divisor of x and 16?", "a": "8" }, { "q": "Suppose -32 - 2 = -3*z + 164. Calculate the highest common factor of z and 1738.", "a": "22" }, { "q": "Suppose -6*s + 12*a = 8*a - 208, -2*s - a + 60 = 0. What is the highest common factor of s and 1048?", "a": "8" }, { "q": "Let v(t) = 35*t**2 + 3*t + 4. Let p be v(-1). Let c = 0 + p. Calculate the greatest common factor of 96 and c.", "a": "12" }, { "q": "Suppose -110 = 5*y + 5*w, -3*w + 2 = -1. Let u = y + 28. Suppose 5*j = -k + 37, 2*k = -u*j + 9 + 25. What is the highest common divisor of 40 and j?", "a": "8" }, { "q": "Let l(s) = 3*s**3 - 7*s + 6. Suppose 45*p - 36 = 36*p. Let x be l(p). What is the greatest common factor of 34 and x?", "a": "34" }, { "q": "Suppose -j + 3*m = -262 - 563, -2*m + 3356 = 4*j. What is the greatest common factor of j and 81?", "a": "27" }, { "q": "Let q = 1063 - 836. Calculate the highest common factor of q and 1.", "a": "1" }, { "q": "Let y be (5 - 8)*(-94)/6. Let i = y + -46. Let c(z) = 6*z - 2. Let k be c(i). What is the greatest common divisor of 8 and k?", "a": "4" }, { "q": "Suppose 0 = -2*l + u + 536, 5*u + 90 + 700 = 3*l. Calculate the greatest common factor of 945 and l.", "a": "135" }, { "q": "Let s = -3248 - -3989. Calculate the highest common factor of s and 627.", "a": "57" }, { "q": "Let k(l) = 2 - l**3 + 0*l**2 + 0*l + 4*l**2 - 4*l - l**2. Let w be k(2). Let a be (125/(-10) + -2)*1*w. Calculate the greatest common divisor of a and 203.", "a": "29" }, { "q": "Suppose -2367 + 3177 = 9*o. What is the highest common divisor of o and 330?", "a": "30" }, { "q": "Let p = 3799 - 3475. What is the greatest common divisor of 144 and p?", "a": "36" }, { "q": "Let m(d) = -24*d + 1. Let l be m(-1). Let u(y) = y**3 + 12*y**2 + 12*y + 16. Let f be u(-11). What is the greatest common divisor of f and l?", "a": "5" }, { "q": "Let b(x) = -x**2 - x - 1. Let v(i) = 7*i**2 - 10*i + 62. Let h(j) = -6*b(j) - v(j). Let m be h(8). Calculate the greatest common factor of m and 24.", "a": "8" }, { "q": "Let n(o) = -2*o**3 - 3*o**2 - 34*o - 73. Let w be n(-3). Calculate the greatest common divisor of 384 and w.", "a": "8" }, { "q": "Let c(t) be the second derivative of t**5/10 - t**4/12 + t**3/6 - 3*t**2 - 7*t - 2. Let g be c(5). What is the greatest common factor of 7 and g?", "a": "7" }, { "q": "Let j(a) = -2*a**3 + 14*a**2 - 16*a - 41. Let r be j(-7). What is the greatest common divisor of r and 39?", "a": "39" }, { "q": "Let c = 131 - 133. Let x be 52 - (3 - (2 + c)). What is the greatest common factor of x and 14?", "a": "7" }, { "q": "Let n be 3/9*(4 + -3 - -5). Suppose -2*r + 240 = 2*f, -2*r + 4*r = n*f - 244. What is the highest common factor of 11 and f?", "a": "11" }, { "q": "Suppose 8*v + 5*v = -19*v + 1504. What is the greatest common factor of 1739 and v?", "a": "47" }, { "q": "Let o = -3268 - -3416. What is the greatest common factor of o and 3034?", "a": "74" }, { "q": "Let c(l) = -l + 8. Let r be c(0). Let y = r - 5. Suppose -y = 5*s - 43. Calculate the greatest common divisor of s and 40.", "a": "8" }, { "q": "Let z(g) = -2*g**3 + 6*g**2 + 6*g + 10. Let f be z(-3). Calculate the highest common factor of 20 and f.", "a": "20" }, { "q": "Suppose -4*n - 5*f - 3 = 0, -f + 4 = 3. Let o be (-13)/5 - n - 3941/(-35). What is the greatest common factor of o and 14?", "a": "14" }, { "q": "Suppose -13 = 16*w + 99. Let p be (-19 - w)/((-9)/6). Let h be 8/3*(-3 - -6). What is the greatest common divisor of p and h?", "a": "8" }, { "q": "Suppose -u = 3*t - 3325, -t + u = -2*t + 1111. Calculate the highest common divisor of 135 and t.", "a": "27" }, { "q": "Let d be (0 + -3)*(-2)/3. Suppose 0 = d*k - 2*n - 4 - 8, -k - 4*n = -1. Suppose 0 = 5*w, -3*w = 4*q - 25 + 5. Calculate the greatest common divisor of k and q.", "a": "5" }, { "q": "Let v(g) = -g**3 + 9*g**2 - 12*g - 11. Let a be v(6). Let j = 71 - a. Calculate the greatest common factor of j and 368.", "a": "46" }, { "q": "Let o(l) = -606*l + 5068. Let k be o(8). Suppose 5*j - 114 + 14 = 0. What is the highest common factor of j and k?", "a": "20" }, { "q": "Suppose 3*b + 2*b + 2*p = 233, 4*b - 3*p = 168. Let k = -38 + 43. Suppose -k*z = -14*z + 81. What is the greatest common divisor of z and b?", "a": "9" }, { "q": "Suppose 12*a = 7*a + 3*l + 18868, -2*l = 5*a - 18888. Calculate the highest common factor of a and 64.", "a": "64" }, { "q": "Suppose -41*s - 4*p + 483 = -36*s, -4*s + 411 = -5*p. Calculate the highest common divisor of 27 and s.", "a": "9" }, { "q": "Let g = -4320 + 5724. Calculate the highest common divisor of 13 and g.", "a": "13" }, { "q": "Let d be 4*5/(-10) + 19. Suppose -3*x - 24 = -w, d*w - 22*w - 3*x = -120. What is the greatest common divisor of 168 and w?", "a": "24" }, { "q": "Let c(r) = -r**3 - 58*r**2 - 168*r. Let l be c(-3). Calculate the highest common divisor of l and 1.", "a": "1" }, { "q": "Let c be (-6)/(-16) - ((-373)/8 + 1). What is the highest common factor of c and 1472?", "a": "46" }, { "q": "Let x(y) = -y**2 + 19*y + 8. Let u be 128/(-28)*-4 - (-2)/(-7). Let c be x(u). What is the highest common factor of 52 and c?", "a": "26" }, { "q": "Let o(z) = z**2 + 4*z - 13. Let i be o(-5). Let m be -3*i*(32/12 - -1). Calculate the highest common divisor of 44 and m.", "a": "44" }, { "q": "Let s be 3/(-4) - 8/32. Let t be s - (0 + 3 + -5). Suppose 3*k = 3*a + 6, 4*k - 21 + 7 = -2*a. Calculate the greatest common divisor of t and a.", "a": "1" }, { "q": "Suppose 0 = -2*q - 9 + 1. Let y be (15/q)/(-5)*216. Suppose -5*a + 0*a - 54 = -p, -3*p + 2*a = -y. Calculate the highest common divisor of 81 and p.", "a": "27" }, { "q": "Suppose 3*m - y - 10 = 0, 2*y - 55 = -45. Let j = 3 - -1. Suppose -60 = j*r - m*r. Calculate the highest common factor of 40 and r.", "a": "20" }, { "q": "Let b = -3140 - -3188. What is the greatest common divisor of b and 60?", "a": "12" }, { "q": "Suppose -59*l + 3496 - 900 = 0. What is the greatest common factor of l and 148?", "a": "4" }, { "q": "Let d be -1 + -103*(1 - 2). Let g(x) = 3*x**2 + 361*x - 1458. Let p be g(4). What is the greatest common factor of d and p?", "a": "34" }, { "q": "Suppose 2*i = 4, -2*k - i = 3*k - 12. Let g(x) = 4 + 3*x**3 - 12*x**3 - 6*x**k - 9*x + 10*x**3. Let p be g(8). Calculate the highest common divisor of 15 and p.", "a": "15" }, { "q": "Suppose 0 = -4*c - v + 973 + 1191, -5*c = 4*v - 2694. Calculate the highest common divisor of c and 4.", "a": "2" }, { "q": "Let u = 1490 - 1346. What is the greatest common divisor of u and 738?", "a": "18" }, { "q": "Suppose -3*x + 5*b + 131 = -0*x, 5*b - 165 = -5*x. Let p = -19 + x. Let j = -101 + 137. What is the greatest common factor of p and j?", "a": "18" }, { "q": "Suppose 5*f = -10, 50 = 2*g - f - 552. What is the highest common factor of 420 and g?", "a": "60" }, { "q": "Let z(c) = -c**3 + 33*c**2 - 96*c - 36. Let d be z(12). What is the highest common factor of 51 and d?", "a": "51" }, { "q": "Suppose -123*y + 3908 + 16756 = 0. What is the greatest common divisor of y and 4284?", "a": "84" }, { "q": "Let v(f) be the second derivative of f**4/3 + 2*f**2 + 2*f. Let y be v(3). Let q = 631 - 623. Calculate the greatest common divisor of q and y.", "a": "8" }, { "q": "Let g(v) = v**2 - 26*v + 84. Let u be g(24). Suppose u = 5*n - 44. Calculate the greatest common factor of n and 16.", "a": "16" }, { "q": "Let x(j) = 5*j + 39. Let b be x(8). Let m = 106 - b. What is the highest common factor of m and 3?", "a": "3" }, { "q": "Let w be (-12)/42 - (-508)/14. Let m(l) = 2*l**2 + 6*l - 56. Let t be m(-8). What is the highest common divisor of w and t?", "a": "12" }, { "q": "Let c be (57/2 - 2) + 1/(-2). Let i = c + -24. Suppose i*u = u - h + 25, 5 = u - 4*h. What is the greatest common divisor of 147 and u?", "a": "21" }, { "q": "Let m(c) = -15*c - 530. Let t(w) = 5*w + 177. Let x(s) = 3*m(s) + 10*t(s). Let z be x(0). What is the highest common factor of z and 72?", "a": "36" }, { "q": "Let n be (-85917)/(-390) + (3 - (-99)/(-30)). Let d be (-436)/(-5) - (-12)/15. What is the highest common divisor of n and d?", "a": "44" }, { "q": "Suppose 2*g + 57 = 4*f + 5*g, -5*g - 43 = -f. Let u = 2665 + -2539. What is the highest common factor of u and f?", "a": "18" }, { "q": "Let d be (900/(-105))/(15/(-70)). Let b be 3/15 + 6597/15. Calculate the highest common factor of d and b.", "a": "40" }, { "q": "Suppose -l + 5396 - 5379 = 0. What is the highest common factor of 425 and l?", "a": "17" }, { "q": "Let k(r) = 39*r**2 + 14*r - 117. Let a be k(9). What is the greatest common factor of 44 and a?", "a": "44" }, { "q": "Let v(m) = m**2 + 117*m + 6993. Let a be v(0). What is the highest common factor of a and 27?", "a": "27" }, { "q": "Suppose -357 = -3*s - 2*o - 47, -3*s = -4*o - 334. Suppose 0 = -2*b - 42 + s. What is the highest common divisor of b and 160?", "a": "32" }, { "q": "Let c = -1948 - -1978. Calculate the highest common divisor of c and 96.", "a": "6" }, { "q": "Suppose -18*d = -19*d + 4. Suppose -2*c - d = -36. What is the highest common divisor of 88 and c?", "a": "8" }, { "q": "Let d(w) = -146*w + 95. Let n be d(0). Calculate the greatest common factor of 2565 and n.", "a": "95" }, { "q": "Suppose -4*f - 5*b = 20 - 121, -5*b = -2*f + 13. Suppose -259 = -2*h + 83. What is the greatest common factor of h and f?", "a": "19" }, { "q": "Suppose k + 755 = 4*s, -6*s = -2*s - 2*k - 754. Let f = 192 - 169. Let j(w) = -w**2 + 27*w - 65. Let c be j(f). Calculate the highest common divisor of s and c.", "a": "27" }, { "q": "Suppose 2*z - 468 = 4*i, -z + 909 = 3*z + i. Let c = z + -226. What is the highest common divisor of c and 6?", "a": "2" }, { "q": "Let j(l) = 4*l - 25 + 3*l + 2*l + 5*l. Let g be j(6). Suppose 57*v + 256 = g*v. What is the highest common divisor of 16 and v?", "a": "16" }, { "q": "Let l be (2/(-6))/((-4)/36). Let y(r) = -9*r - 2. Let s be y(-1). Calculate the greatest common factor of l and s.", "a": "1" }, { "q": "Suppose 5*d + 2*d = 3052. Suppose 0 = -3*r + 1162 - d. Suppose 4*c + 3*y = 94, -4*y = -c - 5*y + 24. What is the highest common factor of c and r?", "a": "22" }, { "q": "Let p be (4/(-12))/((-6)/1242). Suppose -187 - p = -8*i. What is the greatest common divisor of 2 and i?", "a": "2" }, { "q": "Let h(x) = -127*x**3 + 2*x**2 - 3. Let f be h(-1). Calculate the highest common divisor of 4032 and f.", "a": "126" }, { "q": "Let s = -837 - -2267. Calculate the greatest common divisor of s and 66.", "a": "22" }, { "q": "Let n(q) be the second derivative of 0 + 33/2*q**2 + 1/2*q**3 - 8*q. Let o be n(15). Calculate the greatest common factor of o and 26.", "a": "26" }, { "q": "Suppose 0*n + n = -n. Suppose n = -15*o - 3*o + 2952. What is the highest common divisor of 41 and o?", "a": "41" }, { "q": "Let z(p) = -p**2 + 8*p - 15. Let v be z(5). Suppose 0 = 2*j - v*j - 5*l - 225, l = -4*j + 483. Calculate the highest common factor of j and 90.", "a": "30" }, { "q": "Let y = -26038 - -26050. Suppose -6*d = -d - 330. Calculate the greatest common divisor of d and y.", "a": "6" }, { "q": "Let s = 2 - -6. Suppose 26*i - 20*i - 192 = 0. Calculate the greatest common divisor of i and s.", "a": "8" }, { "q": "Let y = 11 - 7. Suppose 2*p - 2*i - 352 = -2*p, 0 = -y*p + 4*i + 356. Suppose 35 - p = -4*c. What is the greatest common divisor of c and 65?", "a": "13" }, { "q": "Let s = 108 + -24. Let o be (100/s + 1/(-3))*56. Suppose -7*w = -3*w - o. What is the greatest common divisor of 4 and w?", "a": "4" }, { "q": "Suppose 0 = 31*o - 5*o + 8*o - 3502. Calculate the highest common factor of 721 and o.", "a": "103" }, { "q": "Let k = 4945 + -2407. What is the greatest common divisor of 36 and k?", "a": "18" }, { "q": "Suppose 0 = 4*y + 3*k - 6*k - 774, 0 = 4*y + 5*k - 758. What is the highest common factor of 704 and y?", "a": "64" }, { "q": "Suppose -1303 = -61*s + 44325. Calculate the greatest common divisor of s and 17.", "a": "17" }, { "q": "Suppose -2066 - 4 = -112*m + 66*m. Calculate the greatest common divisor of 2370 and m.", "a": "15" }, { "q": "Let f = 4120 - 4005. What is the greatest common factor of 69 and f?", "a": "23" }, { "q": "Suppose 4*q = w - 126, -26*q - 168 = -21*q + 4*w. Let d = q + 128. Calculate the greatest common factor of d and 48.", "a": "48" }, { "q": "Let n = 18 + 430. Let s be (972/(-378))/((-3)/n*2). What is the greatest common factor of s and 12?", "a": "12" }, { "q": "Suppose -18 = c - 5*r, 2*r = 3*c - 4*c + 10. Suppose -y + c*t = -8, 3*y = -y - 5*t + 58. Let g = 34624 - 34618. Calculate the highest common factor of g and y.", "a": "6" }, { "q": "Let f be (-21)/(-14)*(-16)/(-6). Suppose 4*y - 39 = 3*j - 4*j, 5*j + 69 = f*y. Suppose -4*o + 33 = -o. What is the greatest common divisor of y and o?", "a": "11" }, { "q": "Suppose 1 - 13 = -2*y. Suppose 45 = y*g - 9. Let o = -45 - -126. Calculate the highest common factor of g and o.", "a": "9" }, { "q": "Suppose -102*c = -80*c - 918 + 214. What is the greatest common divisor of 704 and c?", "a": "32" }, { "q": "Let n = -6612 - -6625. Let d(o) = -2 + 9*o + 7*o**2 - 3*o + 5. Let p be d(-4). Calculate the greatest common divisor of p and n.", "a": "13" }, { "q": "Let d be (-1 + -54)/((-8)/32). What is the greatest common divisor of d and 264?", "a": "44" }, { "q": "Suppose -f + 1971 = -10*f. Let h = -177 - f. What is the greatest common divisor of 30 and h?", "a": "6" }, { "q": "Let c = 26 - 8. Let j(p) = 1 + 4 + 5 - c*p. Let y be j(-5). What is the greatest common factor of y and 20?", "a": "20" }, { "q": "Let z(r) be the second derivative of r**3/3 + 2*r**2 + 13*r. Let f be z(2). What is the greatest common divisor of f and 68?", "a": "4" }, { "q": "Suppose 5*v = 73 + 187. Suppose -o - 39 + 44 = 0, 0 = 3*m + 5*o - 337. Calculate the highest common divisor of v and m.", "a": "52" }, { "q": "Let t(g) be the second derivative of g**4/3 - g**3/6 + g**2/2 + 6*g. Let j be t(-3). Let u = j - -26. What is the greatest common divisor of 22 and u?", "a": "22" }, { "q": "Let w(d) = -d**2 + 125*d - 700. Let g be w(81). What is the greatest common factor of g and 32?", "a": "16" }, { "q": "Suppose -909 = -4*d - r + 11776, -2*d - 3*r + 6335 = 0. Calculate the highest common factor of 52 and d.", "a": "52" }, { "q": "Suppose 0 = i - 17 - 0. Suppose -r - i - 259 = 0. Let b be r/(-27) + (-2)/9. Calculate the greatest common factor of b and 10.", "a": "10" }, { "q": "Let a(n) = 35*n**2 + 8*n + 10. Let u be a(-2). Let q = u - 110. Calculate the greatest common factor of q and 168.", "a": "24" }, { "q": "Suppose 245*i - 3640 = -15*i. Suppose -7*o = -2*o + 90. Let m = o + 144. What is the greatest common factor of m and i?", "a": "14" }, { "q": "Let n(l) = 2*l**3 + 59*l**2 - 99*l - 38. Let j be n(-31). What is the greatest common factor of 370 and j?", "a": "74" }, { "q": "Suppose -3*q = 2*g - 83, g = 4*g - 2*q - 105. Suppose -25 = -r - g. Let a(j) = -j + 10. Let l be a(r). What is the greatest common factor of l and 198?", "a": "22" }, { "q": "Let a = 111 - 107. Suppose -33 = a*y - 15*y. Let m(c) = -25*c - 1. Let o be m(-1). What is the greatest common divisor of y and o?", "a": "3" }, { "q": "Let j be (7 - -7) + 533 - (4 + -3). Calculate the highest common factor of 390 and j.", "a": "78" }, { "q": "Let p(r) = r**3 - 2*r**2 + r - 2. Let c be p(2). Suppose -3*o - 4*l - 467 + 1277 = c, 5*l = -5*o + 1345. Calculate the greatest common divisor of 14 and o.", "a": "14" }, { "q": "Let n be ((-3)/14*-7)/(3*(-4)/(-216)). What is the greatest common factor of 189 and n?", "a": "27" }, { "q": "Let b be (0 - 25)/(9/(-621)). What is the highest common divisor of 50 and b?", "a": "25" }, { "q": "Let b be (-327)/(-3) - (-1 + 3). Let a = -56 + b. What is the greatest common factor of a and 17?", "a": "17" }, { "q": "Let o = -831 - -5489. What is the highest common divisor of o and 34?", "a": "34" }, { "q": "Suppose 73441*n = 73472*n - 3658. Let o be (-119)/(-2) - 1/2. What is the highest common divisor of n and o?", "a": "59" }, { "q": "Let j = 5983 + -5964. Suppose -4*x + 28 = -960. What is the greatest common divisor of j and x?", "a": "19" }, { "q": "Let o be (-3)/7 + (-4940)/(-28). Let f = 191 - o. Calculate the greatest common factor of 15 and f.", "a": "15" }, { "q": "Let f(a) = a**2 + a. Let p be f(1). Let s be (3 + 8 - p)*(-8)/(-3). Let b = 57 - -15. Calculate the highest common divisor of b and s.", "a": "24" }, { "q": "Let g(v) = -5*v - 45. Let b(c) = 2*c + 23. Let w(h) = 7*b(h) + 4*g(h). Suppose 11*k + 35 = 6*k. Let p be w(k). What is the highest common factor of 207 and p?", "a": "23" }, { "q": "Let s(c) = 2*c - 12. Let a be s(6). Suppose 3*l - 5*g - 67 - 38 = a, 51 = 2*l + 3*g. What is the highest common divisor of l and 75?", "a": "15" }, { "q": "Let y be 6/8 - 39/(-12). Suppose 4*d + 37 - 13 = 0. Let a be (d/9 + 0)*-15. What is the greatest common factor of y and a?", "a": "2" }, { "q": "Let x = -161 + 167. Suppose 3*r + 2*k - 98 = 0, x*r - 168 = r - k. Calculate the greatest common divisor of 2 and r.", "a": "2" }, { "q": "Let k be 482/5 - 4/10. Suppose 2*i + j = -j + 88, 3*j = -2*i + 92. Let c be (72/i)/((-9)/(-60)). Calculate the highest common factor of c and k.", "a": "12" }, { "q": "Let v(n) = -17*n + 12. Let g be v(9). Let r = -20 - g. Let h = 4928 - 4917. Calculate the highest common divisor of r and h.", "a": "11" }, { "q": "Let g(m) = m**3 + 33*m**2 - 194*m + 60. Let l be g(5). Let n(r) = 25*r. Let z be n(4). Calculate the highest common divisor of z and l.", "a": "20" }, { "q": "Suppose 1019 = -5*u - 56. Let c = 218 + u. Calculate the highest common factor of 81 and c.", "a": "3" }, { "q": "Suppose 0 = 5*j + 1 + 79. Let f be ((-536)/32)/(1/j). Let w = -20 + f. What is the greatest common factor of 31 and w?", "a": "31" }, { "q": "Let p be (60/(-14))/((-24)/112). Suppose -3*g - 60 = -w, p*w - 16*w + 4*g - 176 = 0. Calculate the highest common divisor of w and 3.", "a": "3" }, { "q": "Let b(f) = -7*f**3 + 5*f**2 - 17*f - 64. Let g be b(-3). What is the greatest common divisor of g and 143?", "a": "13" }, { "q": "Let g be (-5 + 2 + -90)*(0 - -1). Let n = g + 96. What is the greatest common factor of 15 and n?", "a": "3" }, { "q": "Suppose -144*m - 34765 = -92526 - 140239. Calculate the greatest common divisor of 22 and m.", "a": "11" }, { "q": "Suppose 660*s - 656*s = 5*k - 564, 4*k - 447 = -s. What is the highest common divisor of k and 1512?", "a": "56" }, { "q": "Let i(n) = 2*n - 18. Let o be i(10). Let q be (-1)/o*6 - -3. Suppose q*b + 2*b - 306 = 0. Calculate the greatest common factor of b and 17.", "a": "17" }, { "q": "Suppose -17*v + 14*v - 4*i + 77 = 0, 113 = 4*v - 5*i. What is the greatest common factor of v and 7?", "a": "1" }, { "q": "Let g = -6578 - -14656. Calculate the highest common divisor of g and 14.", "a": "14" }, { "q": "Let g(w) be the third derivative of w**6/120 + w**5/6 - w**4/24 + 13*w**3/6 - 48*w**2. Let c be g(-10). What is the greatest common factor of 23 and c?", "a": "23" }, { "q": "Let r = -19 - -85. What is the highest common factor of r and 759?", "a": "33" }, { "q": "Let p(n) = -2*n**3 - 18*n**2 + 59*n + 28. Let m be p(-12). What is the greatest common factor of m and 104?", "a": "8" }, { "q": "Let r(f) = -f**3 + 67*f**2 + 217*f + 44. Let q be r(70). What is the highest common divisor of 445 and q?", "a": "89" }, { "q": "Suppose 246 - 30 = 9*k. Let r = k + 41. Calculate the greatest common divisor of r and 5.", "a": "5" }, { "q": "Suppose 3*q - 35 - 46 = 0. Let m = q - 24. Let j be 64 - (-8)/12*m. What is the greatest common factor of 22 and j?", "a": "22" }, { "q": "Suppose -5*l = -2*z - 1281 + 6761, -4*z + 2*l = -10992. What is the greatest common factor of z and 22?", "a": "22" }, { "q": "Let l(s) = s**3 + 11*s**2 + 8*s - 22. Let i be l(-10). Let o be i/(-3)*(-1 + -2). Let f be 3/(o/240*-9). What is the greatest common factor of 5 and f?", "a": "5" }, { "q": "Suppose 16*i + 32*i - 2345 = 77383. Calculate the greatest common factor of i and 11.", "a": "11" }, { "q": "Let u = 42 - 38. Suppose s - u*s - 5*f = 26, -s - f - 6 = 0. Let b be s/7 + (-19422)/(-63). Calculate the highest common divisor of 28 and b.", "a": "28" }, { "q": "Let v be -3*(-208)/96 - (-2)/4. Suppose 0 = -p + 2 - 0. Suppose -2*n + 5 = 5*u, p = -3*u + 2*n + 5. What is the highest common factor of u and v?", "a": "1" }, { "q": "Let o = -5 + 4. Let h(p) = 10*p + 126. Let w be h(-13). Let m be 18 + o + (9 + w - 4). Calculate the highest common divisor of m and 126.", "a": "18" }, { "q": "Let v be (0 - 13)/(-2 - (-20)/12) + -3. What is the greatest common divisor of v and 20?", "a": "4" }, { "q": "Let j = -2216 - -4232. Calculate the greatest common divisor of j and 48.", "a": "48" }, { "q": "Let p be ((-2)/(4/18))/(-1). Suppose q = -4, 14*h = 9*h - 3*q + 738. Suppose -h*x = -145*x - 15. Calculate the highest common factor of x and p.", "a": "3" }, { "q": "Let i(a) = a**2 - 28*a + 3. Let g be i(-3). Suppose -w + 22 + 14 = 0. What is the greatest common factor of w and g?", "a": "12" }, { "q": "Suppose 94 = 2*k - 2*m, -3*k + 6*k + 3*m = 141. Let z be (0 - 2) + 21*3. Let j = z - k. Calculate the highest common divisor of 35 and j.", "a": "7" }, { "q": "Let y(k) = -k**3 + 5*k**2 + 13*k + 12. Let m be y(7). Suppose -m*j + 3*l + 97 = 0, -l - 2*l = 2*j - 43. Calculate the greatest common divisor of 4 and j.", "a": "4" }, { "q": "Suppose -6*c - 124 + 196 = 0. Calculate the greatest common divisor of 84 and c.", "a": "12" }, { "q": "Let m(y) = 251 + 10*y**2 + 5*y + y**3 - 482 + 251. Let s be m(-7). What is the greatest common factor of 44 and s?", "a": "44" }, { "q": "Let w = -3 - -60. Suppose -w = c - 114. What is the greatest common factor of 399 and c?", "a": "57" }, { "q": "Let q = -2 + 2. Suppose 0 = -5*j + 4*c + 983, 0 = -q*j - 2*j + 4*c + 398. Suppose j = b - 14. Calculate the highest common divisor of b and 19.", "a": "19" }, { "q": "Let j(v) = -v**2 + 22*v - 2. Suppose 6*a - 10*a = 44. Let d be a/66 - (-242)/12. Let b be j(d). What is the highest common factor of 19 and b?", "a": "19" }, { "q": "Let h = -1271 + 2194. Suppose 0 = 10*f - h + 203. What is the highest common divisor of 180 and f?", "a": "36" }, { "q": "Suppose -51 = -17*x + 629. Let d = 6 - 1. Calculate the highest common factor of d and x.", "a": "5" }, { "q": "Let m(r) = 2*r**2 + 15*r + 13. Let i be m(-13). Suppose -3*g = 7*s - 5*s - 62, -g = -2*s - 34. What is the greatest common factor of g and i?", "a": "12" }, { "q": "Let k be 543771/2790 - ((-1 - -1) + 2/(-20)). Calculate the greatest common divisor of 247 and k.", "a": "13" }, { "q": "Let j be (18/(24/4) - (-2)/(-2)) + 124. Calculate the highest common divisor of j and 98.", "a": "14" }, { "q": "Let r be (-864)/90*3/(-12)*10. Let o = 41 - 25. What is the highest common factor of o and r?", "a": "8" }, { "q": "Let z(l) = -l**3 + 24*l**2 - 22*l - 19. Let n be z(23). Suppose -n*k = -5*g - 445, k - 111 = -11*g + 12*g. Calculate the highest common factor of 22 and k.", "a": "22" }, { "q": "Suppose 3*o - 27*o + 19136 = 8*o. What is the greatest common factor of o and 104?", "a": "26" }, { "q": "Let z be (-12)/54 + (-218)/(-9). Suppose -z*a = -25*a + 168. Calculate the highest common divisor of a and 21.", "a": "21" }, { "q": "Suppose 3*x - 6 = 3. Suppose -14 = -4*o + 3*i, 0 = x*o - 0*i + i - 17. Suppose -o = -b + q, 3*q + q - 8 = 0. What is the highest common divisor of b and 1?", "a": "1" }, { "q": "Let i be (6/(-3) - 0) + 26. Let a = 630 + -590. Calculate the greatest common factor of i and a.", "a": "8" }, { "q": "Let p = -2103 - -2175. What is the highest common factor of 1422 and p?", "a": "18" }, { "q": "Let x(y) = -y**3 - 11*y**2 + 3*y + 35. Let u be x(-11). Suppose 12*l = u*l + 840. Calculate the highest common factor of l and 6.", "a": "6" }, { "q": "Suppose 0 = -18*j + 79 + 97 + 400. What is the greatest common factor of j and 16?", "a": "16" }, { "q": "Let l = -43 - 51. Let p = l - -127. Calculate the highest common factor of p and 11.", "a": "11" }, { "q": "Let g(h) = h**3 + 11*h**2 + 11*h + 8. Let w be g(-8). Let b(j) = 64*j - 480. Let q be b(8). Calculate the highest common divisor of q and w.", "a": "16" }, { "q": "Let h = 103 + -48. Let m be -8 + 1310/h - 4/(-22). What is the highest common divisor of 176 and m?", "a": "16" }, { "q": "Let l be (-1)/(((-1)/(-4))/(10/20)). Let x be (-4)/((-16)/(-4)) + l. Let a be (-2 - -5)*((-49)/x - 3). What is the greatest common factor of 5 and a?", "a": "5" }, { "q": "Let s be (-311 + 5 + -3)*(-6 - -5). Suppose 391 + s = 14*p. Calculate the highest common factor of p and 20.", "a": "10" }, { "q": "Let h = -916 - -447. Let n = -259 - h. What is the greatest common divisor of n and 21?", "a": "21" }, { "q": "Suppose -2 = -3*c - 8. Let k be 0 + -3 + 20 + c. What is the greatest common divisor of 5 and k?", "a": "5" }, { "q": "Let v(r) = r**2 + 6*r + 1. Let c be v(-5). Let w = -2 - c. Let q be 11 - (-3 - (-2 + w)). What is the highest common divisor of 28 and q?", "a": "14" }, { "q": "Let j(v) = 3*v**3 + 16*v**2 - 7*v - 2. Let u be j(-6). Let h be (-1580)/u - (2 + 39/(-24)). Calculate the greatest common factor of 49 and h.", "a": "49" }, { "q": "Let b = -3606 - -3888. Calculate the highest common factor of 6 and b.", "a": "6" }, { "q": "Suppose 0 = -3*x + 5*d + 14 + 20, -4*x - d + 7 = 0. Suppose -x*s + 393 = 5*r + s, 2*r - 156 = -2*s. What is the highest common factor of 36 and r?", "a": "9" }, { "q": "Suppose 30*m - 31*m = -5*r + 159, 0 = -r + 5*m + 27. Calculate the highest common divisor of 3 and r.", "a": "1" }, { "q": "Suppose -14*y + 1115 + 19 = 0. Suppose 6*q - 9 - y = 0. Let w(m) = -m**2 + 10*m - 6. Let p be w(7). Calculate the greatest common divisor of q and p.", "a": "15" }, { "q": "Suppose 3*c = -m, -2*c + 13 = 5*m - 0*c. Let r(a) = 1 + 6*a**2 - a - 4 - 3*a + m*a. Let h be r(3). What is the highest common divisor of 12 and h?", "a": "12" }, { "q": "Let w = -47 - -49. Let j be (-33 + 3)/(-3) - w*1. Let h be (-1)/(-5) - (-78)/10. What is the greatest common divisor of h and j?", "a": "8" }, { "q": "Let u = 470 + -452. What is the greatest common factor of u and 906?", "a": "6" }, { "q": "Let m(b) = -6 - 5 - 10*b + 0*b**2 + 7 - b**2. Let h be m(-5). Let q = 340 - 214. What is the greatest common divisor of h and q?", "a": "21" }, { "q": "Let x be 24*(-4)/((-32)/22). Suppose -613 = -4*k - 3*g, 3*k - 191 = g + 272. Calculate the highest common factor of x and k.", "a": "22" }, { "q": "Suppose 2*x = 6*x - 5*j - 78, 4*j = 4*x - 80. Suppose x*z = 27*z - 1365. What is the greatest common factor of z and 21?", "a": "21" }, { "q": "Suppose -30*f = 9*f - 21164 - 46267. Calculate the highest common divisor of f and 399.", "a": "133" }, { "q": "Let v be (2 - 1 - -4) + 495. Suppose -102 = -14*d + v. What is the greatest common factor of 86 and d?", "a": "43" }, { "q": "Let w be (-70)/21*-2*60. What is the highest common factor of w and 150?", "a": "50" }, { "q": "Let s = 1777 + -1490. Let i be (21/(-12))/(2/(-8)). What is the greatest common divisor of s and i?", "a": "7" }, { "q": "Suppose 7760 = 3*z + 4*f, -12940 = -3*z - 2*z - 5*f. What is the greatest common factor of z and 81?", "a": "81" }, { "q": "Suppose -19*d - 624 + 1651 = -1234. Calculate the greatest common divisor of d and 493.", "a": "17" }, { "q": "Suppose 4*q - 3*z - 842 = 0, 4*q - 5*z + 7*z = 852. What is the greatest common factor of 8 and q?", "a": "4" }, { "q": "Suppose 190*p - 189*p - 2315 = -2*y, -3*y - 9304 = -4*p. What is the highest common factor of 101 and p?", "a": "101" }, { "q": "Suppose 3*m - 2*p - 748 = 0, 180*m + 240 = 181*m - 3*p. What is the greatest common divisor of m and 612?", "a": "36" }, { "q": "Suppose 6*x - 111 = 87. Suppose -1214 - 832 = -62*c. Calculate the greatest common divisor of c and x.", "a": "33" }, { "q": "Let o(v) = 275*v**2 - 90*v + 267. Let i be o(3). What is the greatest common factor of i and 24?", "a": "24" }, { "q": "Let v(k) = 3*k**3 + 3*k**2 + 2*k - 2. Let x(b) = 4*b**3 + b**2 - b - 1. Let j be x(1). Let h be v(j). What is the highest common factor of h and 14?", "a": "14" }, { "q": "Suppose -6*q = -5*d + 410, 126*d - 127*d - 4*q + 56 = 0. Calculate the highest common factor of d and 646.", "a": "38" }, { "q": "Suppose 0 = 2*t - 2*w - 272, -152 = -17*t + 16*t - 3*w. What is the greatest common factor of t and 490?", "a": "70" }, { "q": "Let b be 54/(-135) - (-752)/5. Suppose 18*n = 20*n - b. What is the greatest common factor of n and 3?", "a": "3" }, { "q": "Let l be ((-24)/(-3))/(-2)*(415611/14)/(-27). What is the greatest common divisor of 6 and l?", "a": "6" }, { "q": "Let y(l) = -l**2 + 32*l - 82. Let d be y(29). Suppose -d*o + o + 60 = -3*q, 3*q - 12 = -2*o. Calculate the highest common factor of o and 276.", "a": "12" }, { "q": "Let g = -232 - -234. Suppose -5*j + 3*z = -j - 162, -g*j + z + 82 = 0. What is the highest common factor of 56 and j?", "a": "14" }, { "q": "Suppose 25*q + 50882 = 166493 + 37389. Calculate the greatest common factor of q and 20.", "a": "20" }, { "q": "Suppose 0 = -9*p + 4301 + 8254. Calculate the greatest common factor of p and 651.", "a": "93" }, { "q": "Suppose 4*x - 7*x + 482 = 5*j, 159 = x + 2*j. What is the greatest common factor of x and 26?", "a": "13" }, { "q": "Let l be (-16 + 15)*(-2 + 0). Suppose -2*x + 1289 - 275 = 4*p, -l*p - 2*x = -504. Calculate the greatest common divisor of 17 and p.", "a": "17" }, { "q": "Let x(q) = -q**3 - 2*q**2 + 12*q - 15. Let d be x(-5). Suppose -8*o - 171 = -5*i - 10*o, d = 2*o + 4. What is the greatest common divisor of i and 315?", "a": "35" }, { "q": "Let g(w) = -w - 7. Let z be g(-10). Let y(o) = o**3 - 5*o**2 + 2*o - 3. Let s be y(z). Let b = s + 34. Calculate the highest common factor of 209 and b.", "a": "19" }, { "q": "Suppose -5*z + 30860 = 5*p, -107*z - 30862 = -112*z - 4*p. What is the greatest common factor of 18 and z?", "a": "18" }, { "q": "Let p be -2 - (-1 - (1 - -1)). Let j be (-27 - -30)/(p/5). What is the highest common divisor of 45 and j?", "a": "15" }, { "q": "Let i be ((-22)/(-6))/(2/6). Suppose -i*d = -13*d + 10. What is the highest common factor of d and 95?", "a": "5" }, { "q": "Let v(l) = l**2 + 11*l - 21. Let c be v(-13). Suppose -g + 47 + 1 = c*q, -3*q = 3*g - 24. Calculate the greatest common divisor of 10 and q.", "a": "10" }, { "q": "Let d be (298 - 0)*(104/16 + -6). Let t = d - 114. What is the highest common divisor of 455 and t?", "a": "35" }, { "q": "Let b(j) = 4*j**2 + j. Let q be b(2). Let h(i) = i. Let z be h(6). Suppose 108 = -0*a + z*a. Calculate the greatest common divisor of a and q.", "a": "18" }, { "q": "Let x = -102 - -144. Suppose -4*u - 20*i + 16*i = -64, 4*u = -2*i + 56. Calculate the highest common factor of u and x.", "a": "6" }, { "q": "Suppose -5*c = -4*u + 86, -20 = -2*u + c + 14. Let j(g) = 76*g + 1. Let f be j(1). What is the greatest common factor of f and u?", "a": "7" }, { "q": "Suppose -1838 - 6268 = -41*r + 2144. What is the greatest common divisor of r and 150?", "a": "50" }, { "q": "Let z(d) = -3*d**3 + 72*d**2 + 2*d - 37. Let c be z(24). Let o = 32 + -31. Calculate the highest common factor of c and o.", "a": "1" }, { "q": "Let k = -183 - -116. Let t = 389 + -260. Let n = t + k. Calculate the highest common divisor of 155 and n.", "a": "31" }, { "q": "Let q be (-12)/(-96) + (8604/32)/9. Calculate the greatest common factor of q and 27.", "a": "3" }, { "q": "Suppose 6*p - 8418 = -55*p. What is the greatest common divisor of p and 667?", "a": "23" }, { "q": "Suppose 19*x - 354 = 21*x. Let t = x - -191. Let r = -178 + 276. Calculate the highest common factor of r and t.", "a": "14" }, { "q": "Let t(b) = b**3 + 5*b**2 - 6*b + 5. Let g be t(-6). Suppose g*i - 1 = 6*i. Let v be 49*i/(2/(-2)). Calculate the greatest common factor of 7 and v.", "a": "7" }, { "q": "Let m = -1655 - -2792. Let v = m - 737. Calculate the highest common factor of 25 and v.", "a": "25" }, { "q": "Suppose 19 = 3*w - 41. Let g(v) = v. Let p be g(3). Suppose 5*k + 20 = 0, p*k - 7 = 3*i - 49. Calculate the highest common factor of w and i.", "a": "10" }, { "q": "Suppose -4*q - 19*d + 370 = -24*d, 3*d = -4*q + 354. Let t be 181/4 - (-3)/(-12). Calculate the highest common divisor of q and t.", "a": "45" }, { "q": "Suppose -65*t - 20*t - 5615 + 14455 = 0. Calculate the greatest common factor of 1612 and t.", "a": "52" }, { "q": "Let k be 1935/86*3*6/27. Calculate the highest common divisor of 455 and k.", "a": "5" }, { "q": "Suppose -825 = -m - 2*m. Suppose 3*w + 2*w = -11*r + 1250, w - 8 = 0. Calculate the greatest common factor of r and m.", "a": "55" }, { "q": "Let x be (-2 - -5)/21 - 2/14. Suppose -2*l + 3*r + 24 = x, 5*l - 2*r = -5*r + 39. What is the greatest common divisor of l and 243?", "a": "9" }, { "q": "Suppose -10*w = -2*w + 200. Let z = w + 121. What is the highest common factor of z and 12?", "a": "12" }, { "q": "Let s = -12 - -11. Let j be (-16 - s)*9/(-5). What is the highest common factor of 189 and j?", "a": "27" }, { "q": "Let x = -3714 + 3825. Calculate the highest common factor of x and 5328.", "a": "111" }, { "q": "Let r = 6793 + -4401. What is the greatest common factor of 104 and r?", "a": "104" }, { "q": "Suppose 39*b = 20*b + 22*b - 627. Calculate the highest common factor of 114 and b.", "a": "19" }, { "q": "Let i be (-10670)/(-275) - (-1)/5. Suppose -6*t + 69 = -9. What is the highest common divisor of t and i?", "a": "13" }, { "q": "Let p = -54 - -93. Suppose 29*f + 160 = p*f. Suppose 10 = 8*t - 3*t. What is the highest common factor of t and f?", "a": "2" }, { "q": "Let w be 4/40 + (9354/(-20))/(-3). Suppose -4*r + i = -3*i - 44, 0 = 2*r + 2*i - 26. What is the highest common factor of r and w?", "a": "12" }, { "q": "Let y(g) = -16*g + 5. Let l be y(1). Let x(c) = -c**2 - 8*c + 53. Let t be x(l). Calculate the highest common divisor of t and 90.", "a": "10" }, { "q": "Let z = 1379 - 1273. What is the greatest common divisor of 1961 and z?", "a": "53" }, { "q": "Let m(u) = -208*u**2 - u + 1. Let y be m(-1). Let j = y + 262. What is the highest common factor of 40 and j?", "a": "8" }, { "q": "Let z = -642 + 733. Calculate the greatest common factor of 143 and z.", "a": "13" }, { "q": "Let s(q) = 68*q + 1391. Let u be s(-20). What is the greatest common factor of u and 403?", "a": "31" }, { "q": "Let g be (-9)/3 - ((-270)/(-5))/(-3). Calculate the greatest common divisor of 480 and g.", "a": "15" }, { "q": "Suppose -4*z + 5*x = -35, -3*z + 2*x + 5 = -16. Suppose 20 - z = 3*j. Suppose -j*d - 64 = -234. Calculate the highest common divisor of d and 238.", "a": "34" }, { "q": "Let b = -111 - -208. Let d = b + -90. Let k = 1 + 0. Calculate the greatest common divisor of d and k.", "a": "1" }, { "q": "Let j = -1430 + 1638. What is the greatest common divisor of j and 272?", "a": "16" }, { "q": "Let d(q) = -46*q + 71. Let r be d(-1). What is the greatest common factor of 65 and r?", "a": "13" }, { "q": "Let z(g) = g**2 + 9*g + 22. Let v be z(-5). Suppose 3*n + 193 = s + 2*n, s = v*n + 197. Let p be ((-2)/2)/(-1)*21. What is the highest common factor of s and p?", "a": "21" }, { "q": "Suppose -14*u = 78*u - 17480. What is the highest common divisor of u and 2945?", "a": "95" }, { "q": "Let w(m) = -m**3 + 10*m**2 + 10*m - 7. Let y be w(9). Suppose -5*c = -q - 201, -111 = -2*c - 4*q - 13. What is the greatest common factor of y and c?", "a": "41" }, { "q": "Let t be (-1 + 70/4)*6. Let z be 0 + (1 - 3)/(12/2286). Let j = z + 392. Calculate the highest common divisor of j and t.", "a": "11" }, { "q": "Suppose 4*g - 34 + 14 = 0. Let o(c) = c**3 - 20*c**2 - 106*c - 5. Let u be o(-4). Calculate the highest common divisor of g and u.", "a": "5" }, { "q": "Suppose -2*g - 44*h = -41*h - 208, 3*h = 12. What is the greatest common divisor of 42 and g?", "a": "14" }, { "q": "Let r(u) = -u**2 + 8*u - 9. Let k be r(6). Suppose -k*v + v = v. Suppose v = 5*t - 3*t - 4. What is the highest common divisor of 8 and t?", "a": "2" }, { "q": "Let y(g) = -g**2 + 16*g - 18. Let z be y(9). Let q = -23 + 8. Let k be 27 - 2*q/10. Calculate the greatest common divisor of k and z.", "a": "15" }, { "q": "Let o be 3/(-2)*26/39. Let m be 0 - 4/(-8)*-8. Let h be m + (41 - -2 - o). Calculate the greatest common divisor of 10 and h.", "a": "10" }, { "q": "Let m(j) = -4*j**2 - 3*j**3 - 6 + 0*j**2 + 4*j**3 - 7*j. Let y be (-6)/16 + (-408)/(-64)*1. Let i be m(y). Calculate the highest common divisor of 16 and i.", "a": "8" }, { "q": "Let i = -1953 + 1974. Calculate the greatest common factor of 159 and i.", "a": "3" }, { "q": "Let h = 238 - 199. Calculate the highest common factor of 1079 and h.", "a": "13" }, { "q": "Suppose 18*p + 2322 = 9*p. Let n = p + 294. Let k = -1 + 5. What is the highest common factor of n and k?", "a": "4" }, { "q": "Let d(k) = -26*k**2 - 372*k - 1. Let i be d(-14). What is the greatest common factor of i and 407?", "a": "37" }, { "q": "Suppose -20*n = -23*n + 12. Suppose 52 = d + n*z, -2*z = 3*d - 7*d + 172. Calculate the greatest common factor of 99 and d.", "a": "11" }, { "q": "Suppose -74 = -c + 27. Let x = 137 - c. What is the greatest common divisor of x and 54?", "a": "18" }, { "q": "Let b be 9 - (-30)/5 - -9. What is the greatest common factor of b and 120?", "a": "24" }, { "q": "Suppose -11*m + 13*m + j = 13210, -m + 2*j + 6600 = 0. What is the highest common divisor of 52 and m?", "a": "52" }, { "q": "Let k(d) = 2*d**2 - 6*d - 13. Let p be k(7). Let h = p + -11. What is the greatest common divisor of h and 8?", "a": "8" }, { "q": "Let n(i) = 63*i + 521. Let v be n(20). What is the highest common divisor of v and 137?", "a": "137" }, { "q": "Let t(j) = 4*j**2 + 9*j + 35. Let q be t(-8). Let g = 227 - q. What is the greatest common divisor of 136 and g?", "a": "8" }, { "q": "Let c be 21/(-2)*(-6)/(-3). Let x be 15/(-10) - (-1464)/48. Let s = c + x. Calculate the greatest common factor of 8 and s.", "a": "8" }, { "q": "Suppose -21*v + 50*v - 27*v - 130 = 0. Let c(m) = 6*m**2 - 1. Let i be c(-1). Calculate the highest common divisor of i and v.", "a": "5" }, { "q": "Let a(c) = -c**3 + 14*c**2 - 27*c + 22. Let d be a(10). Let y = 232 - d. What is the greatest common factor of 120 and y?", "a": "40" }, { "q": "Suppose 4084 + 59781 = 13*d - 10625. What is the greatest common divisor of 30 and d?", "a": "30" }, { "q": "Suppose -243*u - 120285 = -298*u. What is the highest common divisor of u and 81?", "a": "81" }, { "q": "Suppose -3*z + 2 = -5*b + 12, 3*z - 4*b = -8. Let a be z/(-1) - (0 + -126). What is the greatest common divisor of a and 28?", "a": "14" }, { "q": "Suppose 25 = -5*j + 205. Let u be (-168)/j - 2/6. Let d(o) = -31*o - 10. Let h be d(u). What is the highest common factor of 29 and h?", "a": "29" }, { "q": "Let g be 3 + 0/(-2) - -54. Suppose -49*h + 336 = -46*h. Suppose 0 = -4*f + f - 6, 3*x - h = -f. What is the highest common divisor of g and x?", "a": "19" }, { "q": "Suppose 3*s = -j + 297, 4*j + s - 1171 = 6*s. What is the highest common divisor of 525 and j?", "a": "21" }, { "q": "Let a = 5675 - 3239. Calculate the greatest common factor of a and 48.", "a": "12" }, { "q": "Let l = 3517 + -2295. Calculate the highest common divisor of 13 and l.", "a": "13" }, { "q": "Suppose 25*t - 56 = -5*r + 22*t, -4*r + 4*t + 32 = 0. Calculate the highest common factor of r and 565.", "a": "5" }, { "q": "Let g(q) = -q**2 + 6*q - 5. Let u be g(4). Suppose u*s + 32 = 212. Calculate the greatest common divisor of 100 and s.", "a": "20" }, { "q": "Let o = 2495 - 2273. What is the highest common factor of 30 and o?", "a": "6" }, { "q": "Let y be 176/24*(-18)/(-12). What is the highest common factor of y and 407?", "a": "11" }, { "q": "Suppose 0 = u + 4*u - 225. Let h(p) = 7*p + 51. Let w be h(11). Let n = 133 - w. What is the highest common factor of n and u?", "a": "5" }, { "q": "Let b be (-28)/5 + 6/10. Let s be 8/b*270/(-12). Let c be 436/6 - 2/3. Calculate the greatest common divisor of c and s.", "a": "36" }, { "q": "Let u(y) = -4*y**2 - 43*y + 6. Let k be u(-6). Calculate the highest common factor of 4920 and k.", "a": "120" }, { "q": "Let a(r) = r + 31*r - 5 - 10 - 16*r + 22*r**2. Let h be a(1). Suppose -2*y = -3*y + 69. What is the highest common divisor of h and y?", "a": "23" }, { "q": "Suppose -3*w - 22 = -28. Let z be 0/(-3)*w/6. Suppose o + z = 4. Calculate the greatest common factor of o and 32.", "a": "4" }, { "q": "Let i(s) = -s**2 - 52*s - 452. Let k be i(-14). What is the highest common divisor of 368 and k?", "a": "16" }, { "q": "Let v be 0 + 2*-1*-8. Let x(h) = -2*h**3 + 8*h**2 - 3*h + 8. Let d be x(3). Let j = d + -15. Calculate the greatest common divisor of v and j.", "a": "2" }, { "q": "Let k be (-8)/(-3 + (2 - -3)) + (1 - -15). What is the highest common divisor of 513 and k?", "a": "3" }, { "q": "Suppose 0 = 14*y - 13*y + 3. Let f be y*((-4)/(-12) - (0 + 0)). Let u be 2/((-252)/132 + 3 + f). Calculate the greatest common factor of u and 198.", "a": "22" }, { "q": "Suppose 18 = a - 3*s, 0 = 3*a - 8*s + 12*s - 106. Let o = 95 + -41. Calculate the greatest common factor of o and a.", "a": "6" }, { "q": "Let t = -2866 + 2906. What is the highest common divisor of 20 and t?", "a": "20" }, { "q": "Suppose -5*a + 55 = 5*c, 5*a + 24 = c + 109. Calculate the highest common factor of 1096 and a.", "a": "8" }, { "q": "Suppose p = -0*b + 3*b - 5, p = 2*b - 2. Suppose b*f = -h - 3*h + 9, 3*f - 9 = h. What is the greatest common divisor of f and 3?", "a": "3" }, { "q": "Let k(a) = a**2 - 34. Let l be k(8). Let x be (-6)/l + 2*151/10. What is the greatest common divisor of 5 and x?", "a": "5" }, { "q": "Let y be 505/(-20) - (3 + (-13)/4). Let r = 27 + y. Calculate the highest common divisor of r and 6.", "a": "2" }, { "q": "Let o(z) = -5*z**2 - 5*z - 20. Let x be o(6). Let s = x + 237. Calculate the greatest common divisor of 56 and s.", "a": "7" }, { "q": "Let q(f) = 7*f**3 - 15*f**2 - 6*f - 11. Let i be q(3). What is the highest common factor of i and 80?", "a": "5" }, { "q": "Let p = 3904 - 3057. Calculate the greatest common factor of 385 and p.", "a": "77" }, { "q": "Let s = -2833 + 2865. Calculate the greatest common factor of 240 and s.", "a": "16" }, { "q": "Let b be ((-7668)/(-39))/(-4) - 22/(-143). Let z = b + 100. What is the greatest common factor of 204 and z?", "a": "51" }, { "q": "Let g be 4/1 - 1*2. Let u be -1 - (g + -1) - -28. Suppose 64 - 760 - 409 = -17*z. Calculate the highest common factor of z and u.", "a": "13" }, { "q": "Let c be 414 - (-4 - -9) - 5. Suppose -5*i + c - 109 = 0. What is the greatest common factor of i and 649?", "a": "59" }, { "q": "Let b(f) = 4 + 9 + 4*f**2 + 0*f - 4*f. Let o be b(6). Let w = 287 - o. What is the greatest common divisor of 14 and w?", "a": "14" }, { "q": "Let s be (-32)/6 - -4 - (-872)/6. Calculate the highest common factor of 208 and s.", "a": "16" }, { "q": "Let g(j) = -j - 16. Let f be g(-18). Let b(o) = 20*o**2 - 3*o - 2. Let t be b(f). Let p be -1 + t/1 + 1. What is the greatest common factor of 180 and p?", "a": "36" }, { "q": "Let d(j) = -j**3 - 7*j**2 - 4*j - 4. Let l be d(-7). Let n(i) = -i**3 + 2*i**2 + 59*i + 264. Let g be n(0). Calculate the highest common divisor of l and g.", "a": "24" }, { "q": "Let z(r) = r + 2. Let w(l) = -7*l - 54. Let c(j) = -w(j) - 6*z(j). Let k be c(-34). What is the greatest common divisor of 104 and k?", "a": "8" }, { "q": "Suppose q + 6 + 7 = 2*a, 0 = 2*q - 14. Suppose -3*t = 0, 3*x - 2*t = -0*t + 930. What is the highest common factor of a and x?", "a": "10" }, { "q": "Suppose -m + 1395 = -5*j + 3*m, 2*m = -4*j - 1090. Let p = 387 + j. Calculate the greatest common divisor of 14 and p.", "a": "14" }, { "q": "Let l be (1 - 60381/(-15)) + 20/(-50). What is the greatest common divisor of l and 132?", "a": "66" }, { "q": "Let h = -8246 - -12798. Calculate the highest common factor of h and 8.", "a": "8" }, { "q": "Let r(l) = 57*l + 1180. Let a be r(-10). Calculate the greatest common factor of a and 671.", "a": "61" }, { "q": "Let z = 3633 + -2053. Let m be z/(-220) - (-4)/22. Let c be (28 - 1) + (m - -8). Calculate the greatest common factor of 70 and c.", "a": "14" }, { "q": "Let z = -750 + 1190. Let f = -5809 + 5849. Calculate the highest common divisor of f and z.", "a": "40" }, { "q": "Let r be 7/(-1)*(-5 + 4). Let t be (r - 0/1)*1. Let k be 848/112 - (-4)/(-7). Calculate the greatest common divisor of k and t.", "a": "7" }, { "q": "Suppose 3*j = -2 + 17. Suppose 5*y + 2*c - 85 = 0, y = j*c - 4 + 21. Let v be (-305)/(-6) + 7/42. What is the highest common factor of y and v?", "a": "17" }, { "q": "Let l(s) = -21 - 35*s**2 + 33 + 24 + 74*s - s**3. Let d be l(-37). What is the highest common divisor of d and 45?", "a": "9" }, { "q": "Suppose 1068 = 221*x - 209*x. What is the greatest common divisor of 1691 and x?", "a": "89" }, { "q": "Let n be ((-55)/(-3))/((-2)/(-2) - (-16)/(-18)). What is the greatest common divisor of 1056 and n?", "a": "33" }, { "q": "Let k(j) = -j**3 - 55*j**2 - 616*j - 156. Let h be k(-14). Let n be (-1)/(-2) + (-214)/(-4). What is the greatest common divisor of h and n?", "a": "54" }, { "q": "Suppose -3*i + 4 = -8. Suppose 0 = 2*h + c - 163, -3*c = -i*h - 2*c + 317. Suppose f = 6 + 10. Calculate the highest common factor of h and f.", "a": "16" }, { "q": "Suppose 0 = -d - 2*m + 6 + 3, -4*d + 5*m = 16. Let q = 1 + d. Suppose 7*n - 42 = 4*n. Calculate the greatest common divisor of n and q.", "a": "2" }, { "q": "Suppose -l = 2*f + 31, 3*f - 4*l - 5 = -57. Let a be 25*(-2 - f) - (-22 - -21). What is the highest common divisor of 27 and a?", "a": "27" }, { "q": "Suppose i - 59 = -4*g, -3*i = -6*i + 4*g + 145. Calculate the highest common factor of 323 and i.", "a": "17" }, { "q": "Let l(y) = -y**3 - y**2 - 5*y - 1. Let s be l(-6). Let p(t) = 204*t + 242. Let h be p(-1). What is the highest common divisor of s and h?", "a": "19" }, { "q": "Let p = -6 + 10. Let c = p + -4. Suppose y + 3 - 45 = c. What is the highest common divisor of 28 and y?", "a": "14" }, { "q": "Let m = 999 - 992. Calculate the greatest common divisor of m and 4403.", "a": "7" }, { "q": "Let n be 1 + (-7 - -1) - (0 - 119). Calculate the greatest common divisor of n and 156.", "a": "6" }, { "q": "Suppose -g + 3 = -2*d + 16, -2*d - g = -19. Let h be 10 - (1 + (4 - 4) - 1). Suppose m - h = d. What is the highest common divisor of 144 and m?", "a": "18" }, { "q": "Suppose -5*g = 4*d - 2*d - 1095, -3*g = 6*d - 633. What is the highest common factor of 39 and g?", "a": "13" }, { "q": "Let j be (422/6)/((-37)/(-444)). Calculate the highest common divisor of 12 and j.", "a": "4" }, { "q": "Let x = 234 + -229. Suppose 5*f = 4*w + 2*f - 63, 78 = x*w - 4*f. What is the highest common divisor of w and 36?", "a": "18" }, { "q": "Let s = 419 + -257. Let h = -152 + s. Calculate the highest common factor of 90 and h.", "a": "10" }, { "q": "Suppose -5*g - 20*g + 6615 = -10*g. Calculate the greatest common divisor of 196 and g.", "a": "49" }, { "q": "Suppose -3*o = 2*p - 124, 5*p - 16 = o + 294. What is the greatest common factor of p and 961?", "a": "31" }, { "q": "Suppose -22 + 28 = l. Let f be 638/2*(l + -5). Calculate the greatest common factor of f and 29.", "a": "29" }, { "q": "Suppose k - 5*z = -97, -43 = -3*k - 5*z - 254. Suppose -30*p = -33*p - 693. Let t = k - p. What is the highest common factor of t and 14?", "a": "14" }, { "q": "Let w = 3938 + -3912. What is the highest common divisor of 3159 and w?", "a": "13" }, { "q": "Suppose 44*f = 50*f - 1386 - 234. Calculate the highest common divisor of f and 10.", "a": "10" }, { "q": "Suppose -5 + 1 = 4*b - 2*v, -b = -3*v + 6. Suppose b = -7*w + 14*w - 378. Calculate the highest common divisor of w and 126.", "a": "18" }, { "q": "Let h(f) = -2*f + 1. Let w(i) = -25*i + 5. Let n(v) = -3*h(v) + w(v). Let q be n(-2). Calculate the greatest common factor of q and 5.", "a": "5" }, { "q": "Suppose -k - 2*z = -571 - 280, -8 = -4*z. What is the highest common divisor of k and 22?", "a": "11" }, { "q": "Let i = -1 - -4. Suppose -12 = -0*g - i*g. Suppose -2*q = -4*q - 2, -2*q - 8 = -3*f. What is the greatest common factor of g and f?", "a": "2" }, { "q": "Let i be 1*77/11 - (-2 - 16). Suppose 0 = 2*j - 411 - 139. Calculate the highest common divisor of i and j.", "a": "25" }, { "q": "Let o be (-432)/180*5/(-3). Let l be (7/o)/((-6)/(-168)). Calculate the greatest common factor of 7 and l.", "a": "7" }, { "q": "Let y(b) = 103*b**2 + b. Let q be y(2). Suppose -p + q = -2*l, 5*p + 146 + 475 = -3*l. Let g = 333 + l. Calculate the greatest common factor of g and 14.", "a": "14" }, { "q": "Let g be (-60)/100 + -662*(-3)/10. Let t be (4*-11)/2*-2. What is the greatest common divisor of t and g?", "a": "22" }, { "q": "Let z(f) = -2*f**2 + 39*f - 1. Let a be z(19). Suppose 20*x - a*x - 130 = 0. Calculate the greatest common divisor of x and 26.", "a": "13" }, { "q": "Let k be 2/6 + (-362)/(-3). Let o = -39 + 39. Let a be ((-165)/4)/15*(o - 4). Calculate the greatest common divisor of a and k.", "a": "11" }, { "q": "Suppose 6515 = 5*t + 17*a - 22*a, -2*t + a + 2601 = 0. Calculate the greatest common factor of 22 and t.", "a": "22" }, { "q": "Let i = 2748 - 2168. Calculate the highest common factor of i and 80.", "a": "20" }, { "q": "Let d(q) = q**2 + 34*q + 124. Let m be d(-30). Suppose 2*p - 2*f - 460 = 0, -3*p + m*f = -f - 690. What is the greatest common factor of 92 and p?", "a": "46" }, { "q": "Suppose -3*x + 2*l = -172, 2*l + l = 5*x - 285. Suppose 157*n - 189*n = -192. What is the greatest common factor of x and n?", "a": "6" }, { "q": "Let r be (-2)/(-4) - (-1972)/8. Suppose 19*i - 95 = 14*i. What is the highest common divisor of i and r?", "a": "19" }, { "q": "Suppose 2*q + 152 = 361*z - 359*z, -5*z - 2*q = -345. Let c = 371 - 201. Let l = c - z. Calculate the highest common divisor of 9 and l.", "a": "9" }, { "q": "Suppose -g + 4*g = y + 33, 0 = -g + 2*y + 6. Calculate the highest common divisor of g and 7116.", "a": "12" }, { "q": "Suppose 32*h - 17248 = -80*h. Calculate the highest common divisor of h and 286.", "a": "22" }, { "q": "Let r = -737 - -1397. What is the greatest common factor of 12 and r?", "a": "12" }, { "q": "Suppose 161*j = 4*z + 166*j - 340, -z + 76 = -j. Calculate the highest common divisor of 3280 and z.", "a": "80" }, { "q": "Let w be (22 - 9) + (-201)/(-3). What is the greatest common divisor of w and 840?", "a": "40" }, { "q": "Let h(f) = 13*f - 74. Let o = -131 - -139. Let u be h(o). What is the highest common factor of 24 and u?", "a": "6" }, { "q": "Let g = -10947 - -11004. Suppose 6*q - 190 = q. What is the highest common factor of g and q?", "a": "19" }, { "q": "Let p(g) = -57*g**3 - g**2 + g. Let z be p(1). Let r = z - 6. Let d = 49 - r. What is the highest common divisor of d and 14?", "a": "14" }, { "q": "Let a(m) = -m**2 - 5*m + 219. Let r be a(12). Calculate the greatest common divisor of 370 and r.", "a": "5" }, { "q": "Let z = -1254 + 1362. Calculate the highest common factor of 675 and z.", "a": "27" }, { "q": "Let g be -61 + 56 - (1 + -17). Let w be (-8)/5*(-100)/10. Let l = 27 - w. Calculate the highest common divisor of l and g.", "a": "11" }, { "q": "Let l(n) = -7*n + 217. Let f be l(18). Let i be (-27)/(-2) - (-2 - 20/(-8)). What is the greatest common factor of i and f?", "a": "13" }, { "q": "Suppose -4*u = -3*y + 1261, 4*y - 1524 = -3*u + 199. Calculate the greatest common factor of 7 and y.", "a": "7" }, { "q": "Suppose -74*q - 5*f + 61 = -70*q, 4*q - f - 31 = 0. Suppose -w - 22 + 76 = 0. Calculate the highest common divisor of q and w.", "a": "9" }, { "q": "Suppose -6*d = -185*d + 643761 - 53419. What is the highest common divisor of d and 34?", "a": "34" }, { "q": "Let d(c) = -c**2 + 15*c + 40. Let b be d(22). Let j be b/(-95)*(-70)/(-4). Calculate the greatest common divisor of j and 189.", "a": "21" }, { "q": "Let u = 188 - 88. Let f be (22*u/(-8))/(-1). Calculate the greatest common divisor of 11 and f.", "a": "11" }, { "q": "Let x = 3703 + -3511. What is the greatest common factor of x and 96?", "a": "96" }, { "q": "Suppose -4*n - 2418 + 4875 = 3*n. Calculate the greatest common factor of 78 and n.", "a": "39" }, { "q": "Let y = 321 - 140. Let v = 232 - y. Calculate the greatest common divisor of 3 and v.", "a": "3" }, { "q": "Let w(d) = 64*d + 261. Let s be w(-4). What is the highest common divisor of 115 and s?", "a": "5" }, { "q": "Let d(t) = 78*t - 9. Let l be d(-13). Let v be (l/(-62))/((-6)/(-20)). Suppose m = 18 - 7. Calculate the greatest common divisor of v and m.", "a": "11" }, { "q": "Suppose 461 = -9*t - 628. Let b = 242 + t. Calculate the greatest common factor of 11 and b.", "a": "11" }, { "q": "Let r(c) = 2*c**2 - 2*c - 2. Let x be r(2). Let i(h) = h**2 + 26*h - 2715. Let q be i(-67). What is the highest common divisor of x and q?", "a": "2" }, { "q": "Let s(l) = -68*l + 1408. Let q be s(20). Calculate the highest common divisor of q and 640.", "a": "16" }, { "q": "Let q = 5191 + -5002. Let f(c) = c**2 + 3*c - 1. Let d be f(4). What is the greatest common factor of q and d?", "a": "27" }, { "q": "Let i be 1 - (0 - (-4 + 1) - -1). Let k be (4/(-6))/(i/2439*2). Suppose k - 37 = 9*j. Calculate the greatest common factor of 208 and j.", "a": "26" }, { "q": "Let h = 20 + -8. Suppose 0 = 11*j - 7096 + 1838. Suppose 5*w + 3*k = 2*k + j, -194 = -2*w + k. Calculate the highest common divisor of h and w.", "a": "12" }, { "q": "Suppose 2*v = 44 + 72. Let g = -42 + v. Let c be (-2)/(-8) + 444/g. Calculate the highest common factor of 7 and c.", "a": "7" }, { "q": "Suppose 10 = -2*f + 2*u - 0*u, -5*u = -3*f - 25. Suppose f = -7*x + 3*x + 84. What is the greatest common divisor of 35 and x?", "a": "7" }, { "q": "Suppose 8*s - 135 = 65. Suppose -4*q + 51 = -349. What is the highest common divisor of s and q?", "a": "25" }, { "q": "Let o = 97 + -102. Let a(m) = -8*m - 36. Let j be a(o). What is the highest common factor of j and 12?", "a": "4" }, { "q": "Suppose f - 3*w = 243 + 77, -2*w = 8. Calculate the highest common divisor of f and 7.", "a": "7" }, { "q": "Suppose l = -4*n + 22, -3*n + 269 - 167 = 3*l. Calculate the highest common factor of 7 and l.", "a": "1" }, { "q": "Let l(r) = -3*r + 78. Let b be l(-30). Suppose -5*p - 5*f + 36 = -159, 4*f = p - 54. What is the highest common divisor of p and b?", "a": "42" }, { "q": "Let r(c) = c**3 + 2*c**2 - c. Let i be r(1). Suppose w = i*w. Suppose w = -a + 20 - 9. What is the highest common factor of 1 and a?", "a": "1" }, { "q": "Suppose 0 = -5*q + f + 1185, 3*f = 13 + 2. Let s be (2 - 70/20)*q/(-3). What is the greatest common divisor of 17 and s?", "a": "17" }, { "q": "Let q be (-2016)/420*(-30)/4. Calculate the highest common factor of 324 and q.", "a": "36" }, { "q": "Let d = -205 + 380. Let i = -59 - -24. Let a be (i/(-3))/(1/3). Calculate the highest common factor of d and a.", "a": "35" }, { "q": "Let y be ((-8)/(-16)*-20 - -4)*(-11)/2. Calculate the highest common divisor of y and 12.", "a": "3" }, { "q": "Let n be ((-1)/4 - 35/28)*-4. Let q be ((-444)/(-8))/(n/(-32)). Let t = -203 - q. Calculate the highest common divisor of 62 and t.", "a": "31" }, { "q": "Suppose 0 = -4*o - 55*o + 118. What is the highest common divisor of 1198 and o?", "a": "2" }, { "q": "Suppose 2*u - 8 + 2 = 0. Suppose 9 = 3*f - u*d, 5*d - 7 = 8. Suppose -2*j = -2*z + 6, -2*j = -4*z + 6 + 4. What is the greatest common divisor of z and f?", "a": "2" }, { "q": "Suppose 2*f = -17*b + 21*b - 524, 4*f - 371 = -3*b. What is the highest common factor of 172 and b?", "a": "43" }, { "q": "Suppose -74942 = -59*y + 45*y. Calculate the greatest common factor of y and 53.", "a": "53" }, { "q": "Let z(y) = -2*y**2 + 8*y**2 + 14 + 8*y - 15*y - y**2. Let b be z(2). Calculate the highest common divisor of 10 and b.", "a": "10" }, { "q": "Let a be ((-28)/(-42))/(6/9) - -12. Calculate the highest common factor of a and 12.", "a": "1" }, { "q": "Let p = -2056 - -2368. Calculate the highest common factor of 24 and p.", "a": "24" }, { "q": "Suppose -5*x = -256 + 106. Let k(p) = 57*p**2 - 21*p + 9. Let g be k(5). Suppose 0 = 20*y - g - 1671. Calculate the highest common factor of x and y.", "a": "30" }, { "q": "Let i(f) = f**3 - 18*f**2 + 17*f + 1. Let w be i(17). Let o = w + 26. What is the highest common divisor of o and 243?", "a": "27" }, { "q": "Let x = 4541 - 1793. Calculate the highest common divisor of x and 24.", "a": "12" }, { "q": "Let m(b) = -7*b**2 + 4*b - 3. Let c be m(2). Let t = c + 29. Suppose -3*y + 3*u = -33, -2*y - 2*u + 28 = -t*u. What is the highest common factor of 20 and y?", "a": "4" }, { "q": "Let d be -1 + -7 + 8428/98. What is the highest common factor of d and 754?", "a": "26" }, { "q": "Let n = -90 + 100. Suppose n*b - 4212 = -2*b. What is the highest common factor of b and 27?", "a": "27" }, { "q": "Let i be ((-535)/(-3))/(170/306). What is the highest common factor of 1819 and i?", "a": "107" }, { "q": "Suppose -5*d + 52 = 4*a, 6*d - 3*d + 3*a - 30 = 0. Let h be (2/(-4))/(((-133)/(-840))/(-19)). Calculate the greatest common divisor of d and h.", "a": "12" }, { "q": "Let p(f) = f**3 - 18*f - 8. Let m be p(-4). Let z(j) = -11*j + 19. Let t be z(m). What is the greatest common factor of 19 and t?", "a": "19" }, { "q": "Suppose -d = 4*j - 2*d - 1761, 3*d = -15. Suppose -5*g = -551 - j. Calculate the highest common divisor of g and 9.", "a": "9" }, { "q": "Let x be ((-2)/4)/((-3)/90). Let p be 532/22 + (75/11 - 7). Let t be (-15)/(-4)*(-20 + p). Calculate the greatest common factor of t and x.", "a": "15" }, { "q": "Let h = 4759 + -2191. What is the greatest common divisor of h and 72?", "a": "24" }, { "q": "Suppose o - 5*o = 4, 3*l = -5*o + 61. Suppose l + 38 = 4*p. What is the greatest common divisor of p and 15?", "a": "15" }, { "q": "Let b(w) = 8*w + 7 + w**2 + 0*w - w. Let g be b(-8). Suppose 0 = 5*m + g, 0 = -t - 4*t + 2*m + 16. What is the greatest common divisor of t and 2?", "a": "2" }, { "q": "Let s(q) = 3*q + 4. Let n be s(4). Let f(g) = -98 - 46 - 279*g + 315*g. Let k be f(8). What is the highest common divisor of n and k?", "a": "16" }, { "q": "Suppose 108*p = 115*p - 266. Suppose 6 = n - p. What is the highest common divisor of n and 352?", "a": "44" }, { "q": "Let h = 4315 + -3560. What is the highest common factor of 1208 and h?", "a": "151" }, { "q": "Let n = 16411 + -10691. Calculate the highest common divisor of 55 and n.", "a": "55" }, { "q": "Let t = -266 + 394. Calculate the greatest common divisor of t and 72.", "a": "8" }, { "q": "Let u be ((-624)/260)/(6/(-15)). Calculate the greatest common divisor of 3408 and u.", "a": "6" }, { "q": "Let j(y) = y**3 - 30*y**2 + 78*y + 107. Let m be j(27). Let s(i) = -i**2 - i + 78. Let t be s(0). Calculate the highest common factor of m and t.", "a": "26" }, { "q": "Suppose -16*p - 2340 = 12*p - 38*p. What is the highest common divisor of 13 and p?", "a": "13" }, { "q": "Suppose 75 = 6*o - o. Suppose 0 = -0*f - 3*f + o. Suppose 0 = -3*q + 21, 9*s - 7*s - 39 = -5*q. Calculate the greatest common divisor of s and f.", "a": "1" }, { "q": "Suppose 11*y = -82 + 38. Let h be -1173*14/(-315) + y/30. What is the greatest common divisor of h and 416?", "a": "52" }, { "q": "Suppose 21*v - 17*v - 352 = 0. Let y = -7 - -11. Suppose -5*g + 24 = y*d, g = 2*g - 3*d - 20. Calculate the greatest common divisor of g and v.", "a": "8" }, { "q": "Let f = -1905 + 2065. What is the highest common divisor of 100 and f?", "a": "20" }, { "q": "Let w be (-104)/(-4)*(0 + (-3)/(-6)). Suppose w*n - 19*n = -576. What is the greatest common factor of 160 and n?", "a": "32" }, { "q": "Let w = -8 - -13. Let b be 108/(-90)*10/(-4). Suppose -80 = -f - b*f. What is the greatest common divisor of w and f?", "a": "5" }, { "q": "Let n be (-2)/(-3)*(4 + 511/14). Let d be 1334/14 - (-6)/(-21). Let s = 176 - d. Calculate the greatest common divisor of s and n.", "a": "27" }, { "q": "Let r be (-3)/21*-1 - (-940)/35. Suppose -5*y = 25, 277 = 4*f - f + 4*y. What is the highest common factor of f and r?", "a": "9" }, { "q": "Let b(i) = -i**2 + 9*i - 4. Let w be b(8). Suppose 44 = w*k + 4. Suppose 0 = -2*u + k, 7*u = -t + 2*u + 46. What is the highest common divisor of t and 3?", "a": "3" }, { "q": "Let d(g) = 23*g**2 - 55*g - 442. Let f be d(-7). What is the highest common factor of 10 and f?", "a": "10" }, { "q": "Suppose 4*c - 7*c = -12. Let w = 112 - 118. Let u be -51*(3 - (-20)/w) - -3. What is the greatest common factor of c and u?", "a": "4" }, { "q": "Suppose 3*u + 0*u - 5*h = -15, 5*u + 2*h + 25 = 0. Let l(j) = j + 13. Let f be l(u). Let p = -91 + 179. Calculate the highest common divisor of f and p.", "a": "8" }, { "q": "Let b(k) = 29*k + 63. Let i be b(-2). Suppose 0 = 5*m - 5 - 0. Calculate the greatest common factor of i and m.", "a": "1" }, { "q": "Let x be 37/(96/12 - 7). Calculate the greatest common divisor of 2 and x.", "a": "1" }, { "q": "Let y = 207 - 188. Suppose -y*g + 525 = -14*g. What is the greatest common divisor of g and 14?", "a": "7" }, { "q": "Let l(h) = -1750*h + 3520. Let j be l(2). Suppose 3*v - 4*t - 25 = -9*t, -3*t + 26 = 4*v. What is the greatest common factor of v and j?", "a": "5" }, { "q": "Suppose -5*o + 16 = 6, -5*o = 4*c + 14. Let n be (-8)/c*(-1044)/(-24). What is the greatest common divisor of n and 2?", "a": "2" }, { "q": "Let z = 39 + -4. Let l(r) = -2*r**3 - 39*r + 20. Let p be l(0). What is the greatest common divisor of z and p?", "a": "5" }, { "q": "Let b = 31 - 23. Let w be (260/6)/(b*1/24). What is the greatest common divisor of w and 20?", "a": "10" }, { "q": "Let q = -40 + 27. Let o = -8 - q. Suppose 0 = -4*z + r + 49, -41 = -o*z - 4*r + 36. Calculate the highest common divisor of 13 and z.", "a": "13" }, { "q": "Suppose 2*u = d + 2*d - 1630, 0 = -2*d + 2*u + 1090. Calculate the highest common factor of 105 and d.", "a": "15" }, { "q": "Let v(q) = q**2 - 7*q + 20. Let a be v(21). Suppose 6*r - 376 - a = 0. What is the highest common factor of r and 46?", "a": "23" }, { "q": "Let y(s) = 15*s + 21. Let i be y(-6). Let d = 229 + i. What is the highest common divisor of d and 10?", "a": "10" }, { "q": "Let t = 3442 - 2321. Calculate the greatest common divisor of 19 and t.", "a": "19" }, { "q": "Let a(c) = 362*c + 397. Let n be a(-1). What is the highest common divisor of 189 and n?", "a": "7" }, { "q": "Suppose 87*c = 2*n + 83*c - 1498, 3725 = 5*n - 5*c. Calculate the greatest common factor of 76 and n.", "a": "19" }, { "q": "Let o(j) = -2*j**3 + j**2 + 4*j + 1. Let w be o(-1). Suppose 4*k - 3*k = -3*n, w = 2*k + n - 10. Calculate the highest common divisor of 6 and k.", "a": "6" }, { "q": "Let t(m) = 2*m**2 + 10*m - 28 + 8*m**2 - 4*m**2 + 2. Let i be t(2). Calculate the highest common divisor of 486 and i.", "a": "18" }, { "q": "Suppose -3*x = -3*m + 267, 0 = -4*x + 3*m - 209 - 142. Let f = -27 - x. What is the greatest common divisor of 3 and f?", "a": "3" }, { "q": "Let x = -10 + -21. Let j = 34 + x. Suppose j*w - 6*w = -132. Calculate the greatest common divisor of 22 and w.", "a": "22" }, { "q": "Suppose 5*f + 3*s - 299 = s, 3*s = -5*f + 296. Let z be (-2)/(60/(-10)) - (-1644)/9. What is the highest common factor of f and z?", "a": "61" }, { "q": "Let i(h) = -15*h - 41. Let w be i(-11). Let u = -115 + w. What is the greatest common factor of 6 and u?", "a": "3" }, { "q": "Let d be 4/3*26 + (-304)/(-228). What is the highest common divisor of d and 954?", "a": "18" }, { "q": "Let q(a) = -a**2 + 9*a + 18. Let i be q(8). Let l = -175 - i. Let c = l - -286. Calculate the greatest common divisor of 34 and c.", "a": "17" }, { "q": "Let p = -4621 - -4907. What is the highest common divisor of 52 and p?", "a": "26" }, { "q": "Let y be 5/(-10)*(-58)/29. Calculate the greatest common factor of y and 171.", "a": "1" }, { "q": "Suppose 0 = -9*v + 2*v + 11*v - 456. What is the highest common factor of 48 and v?", "a": "6" }, { "q": "Let k(t) = 14*t**2 - 30*t - 204. Let q be k(-6). Calculate the greatest common factor of 280 and q.", "a": "40" }, { "q": "Let n(y) = 39*y + 222. Let h be n(10). Calculate the highest common divisor of 324 and h.", "a": "36" }, { "q": "Suppose -5*s + x - 535 = 0, 0 = 3*x + 2*x - 25. Let y be (-2)/5 + 1134/(-15). Let n = y - s. What is the highest common divisor of 10 and n?", "a": "10" }, { "q": "Let b(i) = i + 9. Let p be b(-7). Let c be (-2030)/(-116) + 1/4*p. Calculate the highest common divisor of 414 and c.", "a": "18" }, { "q": "Let g(d) = -2*d + 3*d - 5*d - 25 + 2*d. Let y(v) = -v - 13. Let t(p) = -6*g(p) + 11*y(p). Let q be t(-5). What is the greatest common divisor of q and 2?", "a": "2" }, { "q": "Let w(r) = 6*r**2 + 0*r**2 + 2*r - 4*r - 1. Let f be w(-2). Let h = -3297 + 3306. What is the highest common divisor of h and f?", "a": "9" }, { "q": "Suppose 24*f - 35*f + 61 = 50*f. What is the highest common divisor of f and 67?", "a": "1" }, { "q": "Let a = -4471 + 4799. Calculate the highest common divisor of 16 and a.", "a": "8" }, { "q": "Suppose 0 = -18*n - 1105 - 713. Let s = n - -309. Calculate the highest common factor of s and 13.", "a": "13" }, { "q": "Suppose 10*f - 5*f + 960 = 0. Suppose 5*q - 6*q - 9 = 0. Let o be -2 - q/(-6)*f/9. What is the greatest common factor of 75 and o?", "a": "15" }, { "q": "Suppose -150 = -3*v - u + 2*u, 5*u + 15 = 0. Suppose -q - 4*y + 33 = 0, -7*y + 86 = 2*q - 4*y. What is the greatest common factor of v and q?", "a": "49" }, { "q": "Let d(i) = -2*i**3 + 15*i**2 - 10*i + 20. Let r be d(7). Let s(j) = 39*j**2 + 5*j + 4. Let t be s(r). Calculate the highest common divisor of 57 and t.", "a": "19" }, { "q": "Suppose r + 43 = -4*g, -r + 75 = -5*g + 2*r. Suppose -408*a + 417*a - 117 = 0. Let b = a + g. Calculate the highest common divisor of 3 and b.", "a": "1" }, { "q": "Let h(z) = 3*z**2 + 6*z - 10. Let d be h(4). Let y = d - 45. What is the greatest common factor of 272 and y?", "a": "17" }, { "q": "Let q = -1033 + 1063. What is the greatest common factor of q and 138?", "a": "6" }, { "q": "Suppose -316 - 284 = 5*a. Let s = 48 - a. Let u(l) = l**2 - 7*l - 39. Let q be u(-5). Calculate the greatest common factor of q and s.", "a": "21" }, { "q": "Let k be ((-2)/(-5))/((-2)/(-110)). Let z(u) = 24*u + 201. Let w be z(-7). Calculate the greatest common divisor of k and w.", "a": "11" }, { "q": "Let q = 979 - 977. Suppose -4*y + 15 = r, -3*y + 3*r - 15 + 45 = 0. Calculate the highest common factor of y and q.", "a": "1" }, { "q": "Suppose 93*w - 304 = -607 + 11277. Let l be (177/(-12))/(1/(-4)). Calculate the greatest common divisor of l and w.", "a": "59" }, { "q": "Let u = 224 - -4. Suppose 5*n - 122 = u. What is the greatest common factor of 56 and n?", "a": "14" }, { "q": "Let v be (19/(-3))/(3/(-36)). Let f be v/18 + 12/(-54). Suppose 0 = 5*o - 37*w + 41*w - 168, 0 = o + w - 34. Calculate the greatest common factor of o and f.", "a": "4" }, { "q": "Suppose 59*m = -13*m + 6840. What is the greatest common divisor of m and 2565?", "a": "95" }, { "q": "Let i(h) = h**2 + 3*h - 62. Let t be i(7). Suppose -j = -2*b - 56, -b - 3*b - t = 0. What is the highest common divisor of 13 and j?", "a": "13" }, { "q": "Suppose -756*q + 388*q - 1116 = -380*q. What is the greatest common divisor of 9021 and q?", "a": "93" }, { "q": "Suppose -2*q + c + 370 - 58 = 0, q + 4*c = 138. Let j = 217 - q. Let u = 1 + 6. What is the highest common factor of j and u?", "a": "7" }, { "q": "Suppose 4*v - 10 = -v, -2*v = s - 12. Let a be -2*4/12*-3 + s. What is the highest common factor of a and 40?", "a": "10" }, { "q": "Let d be (-12)/(-2) + (-24)/8. Let x = -35 + 31. Let n be ((-6)/x)/(-1)*(-14)/d. What is the highest common divisor of 7 and n?", "a": "7" }, { "q": "Let o(s) = s**3 - 2*s**2 - s. Let b be o(3). Suppose 5*m - 60 = 135. Suppose m*u - 30*u - 135 = 0. Calculate the greatest common factor of b and u.", "a": "3" }, { "q": "Let t = 118 - 114. Suppose -a + 2 = -3. Suppose 0 = f + a*x + 1 - 5, f - 5*x = 4. What is the greatest common factor of f and t?", "a": "4" }, { "q": "Let z = 21 + -6. Suppose -6*g + 2*g = 16. Let s be 107 + 1 + -2 + (-5 - g). Calculate the greatest common divisor of z and s.", "a": "15" }, { "q": "Let a = -84 - -179. Suppose -y - 6 = 2*q + 20, 4*q - y = -40. Let h(p) = -8*p - 50. Let z be h(q). Calculate the highest common divisor of a and z.", "a": "19" }, { "q": "Let q be (-4620)/(-48) + 2/(-8). Suppose 0 = -6*y + 372 + q. Calculate the greatest common divisor of y and 52.", "a": "26" }, { "q": "Let v = 393 - 283. Calculate the greatest common factor of 176 and v.", "a": "22" }, { "q": "Let i be (-6)/(-4)*(-700)/150. Let t be 2/1*(96/3 + i). Calculate the greatest common factor of 75 and t.", "a": "25" }, { "q": "Suppose w + 6 - 1 = 0. Let p be ((-6)/w)/((-16)/(-600)). Let x = p - -21. What is the highest common factor of x and 6?", "a": "6" }, { "q": "Suppose -225 = -3*f - 0*f + x, -75 = -f - 3*x. Suppose 6*w - 338 = 19*w. Let l be (325/w)/(0 + (-3)/6). Calculate the greatest common factor of l and f.", "a": "25" }, { "q": "Suppose -4*p + 56 = 20. Let h be 15/(-2)*-2*(p + -2). Calculate the highest common factor of h and 15.", "a": "15" }, { "q": "Let k = -1003 + 1172. Let f(r) = r. Let u be f(13). Calculate the highest common factor of u and k.", "a": "13" }, { "q": "Let y = 984 - 534. What is the greatest common factor of 600 and y?", "a": "150" }, { "q": "Let q be 28*1*10*(-42)/(-280). What is the highest common divisor of q and 1834?", "a": "14" }, { "q": "Let u be 2/((-6)/4 + 2). Suppose u*g = 665 + 1199. Suppose m = 2*s - g, -3*s + m + 701 = -m. What is the greatest common divisor of s and 21?", "a": "21" }, { "q": "Suppose k + 5*l - 49 = -3*k, -2*k + 3*l + 19 = 0. Calculate the greatest common divisor of 1727 and k.", "a": "11" }, { "q": "Suppose y = 2*y - 2. Suppose -a - 110 = -3*h, -5*h + y*a = -2*a - 174. Let v = h + -30. What is the highest common factor of 24 and v?", "a": "8" }, { "q": "Let n = -1121 + 1140. What is the greatest common divisor of n and 6859?", "a": "19" }, { "q": "Let z be ((-16)/20)/(2/(-15)). Let l = 14 + z. Let y = 28 - -12. What is the greatest common factor of y and l?", "a": "20" }, { "q": "Let l(o) = -o + 24. Let g be l(17). Suppose -3*h - 9 = -5*u + 10, -2*u = -h - g. What is the greatest common divisor of u and 4?", "a": "2" }, { "q": "Let w(b) = 134*b - 424. Let f be w(20). Calculate the highest common factor of 12 and f.", "a": "12" }, { "q": "Suppose -70367 = -46*c + 33133. What is the greatest common divisor of 25 and c?", "a": "25" }, { "q": "Let c(m) = 196*m**2 - 1. Let t be c(1). Suppose -4*f = 2*r - 40 - 110, 0 = 2*r - 5*f - t. Calculate the highest common factor of 34 and r.", "a": "17" }, { "q": "Let g = 784 - 724. What is the greatest common factor of 490 and g?", "a": "10" }, { "q": "Let t = -2025 + 4183. What is the greatest common factor of 52 and t?", "a": "26" }, { "q": "Suppose 0 = 3*l - 39*q + 38*q - 393, -524 = -4*l + 5*q. What is the greatest common divisor of l and 4?", "a": "1" }, { "q": "Suppose a = -3*a - m + 17, -5*m = -a + 20. Let t be (2/(-8))/(a/(-40)). Suppose 21 = t*o - 3. Calculate the highest common factor of 6 and o.", "a": "6" }, { "q": "Suppose -54*v + 37552 = 3100. What is the greatest common factor of 58 and v?", "a": "58" }, { "q": "Suppose 0 = 5*n - 4*c - 25, -5*c + 0*c = 2*n - 43. Suppose n*i - 6*i = 75. Suppose -i = -j + 31. What is the greatest common factor of 8 and j?", "a": "8" }, { "q": "Let t = 571 - -392. Calculate the highest common factor of t and 18.", "a": "9" }, { "q": "Let z = -728 - -738. Calculate the highest common factor of z and 155.", "a": "5" }, { "q": "Let j = 3703 - -4305. What is the greatest common divisor of j and 143?", "a": "143" }, { "q": "Let o = -28 - -56. Let i = -483 - -485. Calculate the greatest common factor of o and i.", "a": "2" }, { "q": "Suppose 0 = 4*j - 2*o - 366 - 794, -o = 4*j - 1148. What is the highest common factor of 648 and j?", "a": "72" }, { "q": "Let w(r) = 39*r**2 - 3*r + 2. Let t be w(1). Suppose -5*h = -10, -2*h = -4*n + 9*n - 1714. Calculate the highest common factor of n and t.", "a": "38" }, { "q": "Let i(s) = 60*s**2 - 3*s + 6. Let f be i(-3). Let j = f - 365. What is the highest common divisor of 19 and j?", "a": "19" }, { "q": "Let h(k) = 3*k**2 - 32*k - 28. Let r be h(14). Suppose -6*u + 518 = -r. Calculate the highest common factor of 30 and u.", "a": "15" }, { "q": "Suppose -3*v - f + 100 = 0, -3*v - 3*f + 108 = -0*f. Calculate the highest common factor of v and 488.", "a": "8" }, { "q": "Suppose h - 936 = -3*l, 0 = 29*l - 28*l - h - 312. What is the greatest common factor of 1352 and l?", "a": "104" }, { "q": "Suppose 2*t = -4, 36*w = 35*w - 3*t + 87. What is the highest common divisor of 6603 and w?", "a": "93" }, { "q": "Suppose -2*x - 7*u = -2*u + 371, -5*u = -2*x - 421. Let j = x + 205. Calculate the greatest common factor of j and 49.", "a": "7" }, { "q": "Suppose 132 + 228 = 8*z. Suppose -3*j + 12 + z = 0. What is the greatest common factor of j and 76?", "a": "19" }, { "q": "Let i = -2 - -2. Let l be 8 - -4 - (2 + i). Let y be (5/2 + -6 + 4)*20. What is the highest common divisor of l and y?", "a": "10" }, { "q": "Let r be 15/5 + (-1 - 0). Let g be 3 + r/2*-111. Let d = g - -229. Calculate the highest common divisor of 11 and d.", "a": "11" }, { "q": "Let k be 9/21 + 36/14. Suppose -175 = -4*o - 3*a, -a - k*a = -4. Let u = -33 + o. What is the greatest common factor of 2 and u?", "a": "2" }, { "q": "Let j(f) = 2 + 4*f**2 - 6*f + 15 - 3. Let w be j(6). Suppose 40 = 3*g - w. What is the highest common divisor of g and 6?", "a": "6" }, { "q": "Suppose 0 = 5*g - 305*m + 304*m - 924, -3*g + 554 = -m. Let h = 8 + 29. Calculate the greatest common factor of g and h.", "a": "37" }, { "q": "Let u be ((-62)/(-4) + -5)*2. Let q = 56 - u. What is the greatest common factor of q and 35?", "a": "35" }, { "q": "Suppose -7*j = 2*j - 126. Let c be 5500/140 - 4/j. What is the greatest common divisor of 13 and c?", "a": "13" }, { "q": "Let a(y) = -29*y + 2325. Let o be a(70). What is the highest common factor of o and 45?", "a": "5" }, { "q": "Let c(k) = k**2 - 19*k - 171. Let f be c(-7). Let j(y) = -33*y. Let x be j(-2). Calculate the greatest common divisor of x and f.", "a": "11" }, { "q": "Let w = -2126 - -2622. Calculate the highest common factor of 16 and w.", "a": "16" }, { "q": "Let v be (-3927)/42*108/(-6). What is the greatest common divisor of v and 22?", "a": "11" }, { "q": "Let y be -6 + (9 - 5) - -1*5. Suppose -l = -3, 0 = y*r - 2*r + 2*l - 72. What is the greatest common divisor of 22 and r?", "a": "22" }, { "q": "Let i be 15 + -2 + 0 + 135. What is the greatest common factor of i and 8?", "a": "4" }, { "q": "Let m = 3364 + -3329. What is the greatest common divisor of m and 2170?", "a": "35" }, { "q": "Let v = 42 - -84. Let n = 1199 - 1185. Calculate the greatest common divisor of v and n.", "a": "14" }, { "q": "Suppose -9*a + 4*a + 51 = 4*h, -5*a + 15 = -5*h. Suppose -8*d + 4125 = a*d. What is the highest common divisor of 110 and d?", "a": "55" }, { "q": "Suppose -b = -4*z - 55 - 331, -2*b + 758 = -z. What is the greatest common factor of b and 18?", "a": "18" }, { "q": "Suppose 198*u = 203*u - y - 2445, 3*u - 1479 = 3*y. What is the greatest common divisor of 40 and u?", "a": "8" }, { "q": "Suppose 0 = 12*h - 8*h. Suppose -b - b = -s, 3*b + 2*s + 14 = h. Let o(v) = -11*v - 2. Let j be o(b). What is the highest common divisor of j and 180?", "a": "20" }, { "q": "Let x = -11 + 44. Let d = -37 + x. Let n be ((-924)/(-15) - d) + 4/10. Calculate the highest common factor of 6 and n.", "a": "6" }, { "q": "Let r(v) = 2*v**3 - 5*v**2 - v - 2. Let y be r(4). Let d be 10 + (-28)/y*(1 + -4). What is the greatest common divisor of d and 10?", "a": "2" }, { "q": "Suppose 3*n = -44 + 1553. Let c be (8 + -5 + 0)*1. Suppose -c*v + 731 = 5*l - 525, 0 = 2*l + v - n. What is the greatest common divisor of l and 23?", "a": "23" }, { "q": "Let z be 152/10 - 12/60. Let i(v) = -v**3 + 15*v**2 - 12*v - 17. Suppose 2*w - 3*w + 13 = 0. Let u be i(w). Calculate the greatest common divisor of z and u.", "a": "15" }, { "q": "Suppose 1111 = 7*i + 12. Suppose 4*a + 3*q - i = 0, 8*a = 13*a + q - 199. What is the greatest common factor of 120 and a?", "a": "40" }, { "q": "Suppose 737 = 6*j - 967. Suppose -784 = -20*r - j. What is the greatest common divisor of 35 and r?", "a": "5" }, { "q": "Let n = -4206 - -4462. Calculate the greatest common factor of n and 576.", "a": "64" }, { "q": "Suppose 2*q - 4*q = -2*g - 20, 0 = 5*q + 5*g - 30. Let o = 42 - 25. Let j = o + -5. What is the highest common factor of q and j?", "a": "4" }, { "q": "Let d = -2918 + 3208. What is the highest common factor of d and 232?", "a": "58" }, { "q": "Suppose d + 3*m = -36 + 29, 0 = -5*m - 25. Let s be (-1*2)/(12/(-6)). Calculate the highest common factor of s and d.", "a": "1" }, { "q": "Suppose 3*w + g = 292, -5*w - 3*g + 421 = -63. What is the highest common divisor of w and 490?", "a": "98" }, { "q": "Suppose -138 - 10 = -4*a. Let u be 8/12*3 - 39. Let g be (5 - 13)*(u + 0). What is the greatest common divisor of g and a?", "a": "37" }, { "q": "Let x(f) = -209*f - 694. Let d be x(-10). What is the greatest common divisor of 2 and d?", "a": "2" }, { "q": "Let y(w) = -540*w - 28. Let t be y(-1). Calculate the highest common factor of 352 and t.", "a": "32" }, { "q": "Let w(c) = c**3 + 13*c**2 + 13*c - 6. Let b be w(-12). Let x be (6/b)/((-2)/150). Let n be x/(-20)*(-13 - -1). What is the highest common divisor of 30 and n?", "a": "15" }, { "q": "Let t be (-13 + 12)*-89*3. Suppose -2*z - 27 = -t. What is the greatest common factor of z and 48?", "a": "24" }, { "q": "Let j be 11*(8/(8/2) + -3). Let p(c) = -c**3 - 11*c**2 - 3*c - 14. Let l be p(j). What is the highest common divisor of l and 19?", "a": "19" }, { "q": "Let k(u) = u**3 + 12*u**2 - 14*u - 18. Let y be k(-12). Let j(p) = p**2 + 95*p - 1384. Let h be j(13). What is the greatest common factor of y and h?", "a": "10" }, { "q": "Let f be (-4 + 1)*2 - -6. Let b be -2 + (15 - f) - 6. Calculate the highest common divisor of 1 and b.", "a": "1" }, { "q": "Let w = 35 + -28. Let l(z) = 2*z**2 - 5*z - 16. Let x be l(w). Suppose x = 10*g - 73. Calculate the highest common factor of g and 36.", "a": "12" }, { "q": "Suppose 79*g - 13 = 78*g. Suppose -4*u - i = -0*i + 18, -3*i + 6 = -3*u. Let y be (6 + 12)*(-26)/u. Calculate the greatest common divisor of g and y.", "a": "13" }, { "q": "Let r(x) = x**3 + 10*x**2 + 18*x - 5. Let y be r(-4). What is the greatest common factor of 608 and y?", "a": "19" }, { "q": "Let j be 266/57 - 2/3. Suppose -j*c = -c - 450. What is the highest common factor of 6 and c?", "a": "6" }, { "q": "Let q = 216 + -209. Suppose 5*t - 140 = q*n - 2*n, -3*t = 4*n - 84. What is the highest common divisor of 7 and t?", "a": "7" }, { "q": "Let s = -207 - -1632. What is the highest common divisor of 57 and s?", "a": "57" }, { "q": "Let d be (107/(21400/450))/(2*2/96). Suppose 12 + 24 = 3*n. Calculate the greatest common factor of d and n.", "a": "6" }, { "q": "Suppose 10*g = 3*g + 21. Suppose -i - g*v = -13, 30 + 29 = 3*i - v. Suppose w + 18 = i. Calculate the highest common factor of 11 and w.", "a": "1" }, { "q": "Let k(c) = 8*c + 487. Let x be k(-60). Calculate the greatest common divisor of 1953 and x.", "a": "7" }, { "q": "Let n = -328 - -585. Suppose -89 = m - n. Calculate the highest common divisor of m and 42.", "a": "42" }, { "q": "Suppose 5*l + 5*a - 5150 = 0, l - 2*a - 212 = 815. Calculate the highest common divisor of 6 and l.", "a": "3" }, { "q": "Suppose 0 = 2*d + 2*n - 106, -3*d - n - 4*n + 153 = 0. Let c(m) = 49*m - 7. Let a be c(3). What is the greatest common factor of a and d?", "a": "28" }, { "q": "Let r(c) = 20*c + 1048. Let a be r(-51). What is the greatest common factor of a and 3052?", "a": "28" }, { "q": "Let s = 17 + 82. Let m = s + -79. Calculate the greatest common factor of 30 and m.", "a": "10" }, { "q": "Suppose 407 = s - a, -67*a - 1627 = -4*s - 62*a. What is the greatest common divisor of 264 and s?", "a": "24" }, { "q": "Suppose -4 = -t + 7. Let m(f) = 4*f - 23. Let v be m(t). Let k = v + 29. Calculate the highest common factor of 10 and k.", "a": "10" }, { "q": "Let z = 103 - 98. Suppose -z*r + 156 = 4*k, 0 = 11*k - 14*k + 2*r + 140. What is the greatest common divisor of k and 154?", "a": "22" }, { "q": "Let w be 6 - ((-278)/(-4))/(22/(-264)). Calculate the highest common factor of 20 and w.", "a": "20" }, { "q": "Let w be 4/(16/314) - 5/10. Suppose w*p + 30 = 84*p. Calculate the highest common divisor of 2 and p.", "a": "1" }, { "q": "Let v(r) = 2*r - 49. Let j = 35 - 0. Let z be v(j). Calculate the greatest common factor of z and 21.", "a": "21" }, { "q": "Let h be -1 - (1/(-4))/((-1)/(-4)). Suppose h = -5*k + 10 + 5. Calculate the greatest common divisor of 21 and k.", "a": "3" }, { "q": "Let r be 3636/12 - (-36)/(-3). Calculate the greatest common factor of r and 97.", "a": "97" }, { "q": "Suppose -w + 2*b + 111 = 0, 3*b = -2*w + 2*b + 242. Let d = -413 - -484. Let a = w - d. Calculate the greatest common divisor of a and 6.", "a": "6" }, { "q": "Let i be 1354/10 + ((-126)/15 - 270/(-30)). What is the greatest common divisor of 119 and i?", "a": "17" }, { "q": "Let z = 3144 + 616. Calculate the greatest common divisor of z and 10.", "a": "10" }, { "q": "Let q(k) = k**2 + 42*k + 208. Let r be q(-38). Calculate the greatest common factor of r and 2016.", "a": "56" }, { "q": "Let d be (-672)/3 - 6/(-9)*3. Let q = d + 300. What is the greatest common divisor of 39 and q?", "a": "39" }, { "q": "Let y = -17 + 30. Suppose 23*n - 16 = 25*n. Let l be (-3 - -2 - 12)*n/2. Calculate the highest common factor of l and y.", "a": "13" }, { "q": "Let h(a) = -11*a - 6 + 2*a**2 - 2 + 7*a. Let z be h(-3). Suppose 4*p - 43 = o, 4*p - 4*o - z = 6. Calculate the greatest common factor of 24 and p.", "a": "12" }, { "q": "Let j(z) = 7499*z**3 - z**2 - 11*z + 11. Let g be j(1). What is the highest common factor of 46 and g?", "a": "46" }, { "q": "Let p = 217 + -216. Suppose p + 4 = -j, 2*j = 2*t - 486. What is the highest common factor of 34 and t?", "a": "34" }, { "q": "Let i = 212 + -205. Suppose i*v - 432 = -5*v. Calculate the greatest common factor of v and 9.", "a": "9" }, { "q": "Let q(y) = 7 + 19*y**2 - y**3 + 9*y + 9*y**2 - 20*y**2. Let j be q(-5). Calculate the greatest common factor of 41 and j.", "a": "41" }, { "q": "Let v be -2 - (-517)/7 - 1/(-7). Suppose 18*b - 9*b = v. What is the greatest common divisor of b and 8?", "a": "8" }, { "q": "Let y = -16 + 25. Let h(r) = -r**2 + 9*r - 1. Let d be h(y). Let s be 3/1 + -3 - d. Calculate the greatest common factor of 11 and s.", "a": "1" }, { "q": "Let d(s) = 6 - 29 - 3*s**2 + 9 + 7*s**2 - 7*s. Let z be d(5). What is the greatest common factor of z and 255?", "a": "51" }, { "q": "Let d = 192 + -143. Let a = 10 - -431. What is the highest common divisor of d and a?", "a": "49" }, { "q": "Let b = 151 - 242. Let u = b - -128. Calculate the greatest common divisor of 185 and u.", "a": "37" }, { "q": "Let w(x) = x**3 + 28*x**2 - 49*x + 224. Let c be w(-28). Calculate the greatest common divisor of 168 and c.", "a": "84" }, { "q": "Let a = -2148 - -2207. Calculate the greatest common factor of 5959 and a.", "a": "59" }, { "q": "Let b = 121 - 127. Let h be (-6)/24*b*248. Calculate the greatest common factor of h and 31.", "a": "31" }, { "q": "Let l(x) = -51*x + 945. Let s be l(16). What is the highest common factor of s and 1118?", "a": "43" }, { "q": "Let c(g) = 7*g + 442. Let w be c(-46). What is the greatest common factor of 195 and w?", "a": "15" }, { "q": "Let i(y) = -16*y**2 + 450*y + 56. Let u be i(27). What is the highest common divisor of u and 2?", "a": "2" }, { "q": "Let z(i) = -5*i**3 - 5*i**2 - 3*i + 58. Let y be z(-6). What is the highest common factor of 48 and y?", "a": "16" }, { "q": "Suppose 864 = 1020*z - 1008*z. Suppose -2*p - 104 = -b, -b = -p - 4*p - 116. What is the highest common factor of b and z?", "a": "24" }, { "q": "Let r be 8/6*30/40. What is the highest common divisor of r and 109?", "a": "1" }, { "q": "Suppose v + 9*y - 70 = 4*y, -5*y = -5*v + 200. Calculate the greatest common factor of 615 and v.", "a": "15" }, { "q": "Let s = -216 - -239. Suppose s*c - 6*c - 1547 = 0. What is the greatest common divisor of c and 39?", "a": "13" }, { "q": "Let v = -6 - -22. Let x = 30 - v. Suppose 0 = 5*a - 5*g - 30, -3*a + 4*g + 28 = 6. What is the greatest common factor of a and x?", "a": "2" }, { "q": "Let r be 7 + 2/(-5) + (-16911)/(-15). What is the greatest common divisor of 882 and r?", "a": "126" }, { "q": "Let g(y) = y**3 + y**2 - 5*y - 232. Let p be g(0). Let t = -167 - p. What is the greatest common factor of 5 and t?", "a": "5" }, { "q": "Let o be (-114)/(-4)*116/87. Let f(w) = w**3 + 6*w**2 + 2*w + 4. Let t be f(-5). Calculate the greatest common factor of o and t.", "a": "19" }, { "q": "Suppose -5*n + 3*y = 4*y - 24, -5*y + 5 = 2*n. Suppose 10*k = 23*k - 65. What is the highest common factor of n and k?", "a": "5" }, { "q": "Let k(a) = 3*a**2 - 22*a - 216. Let l be k(13). Calculate the highest common factor of l and 1975.", "a": "5" }, { "q": "Let q be -3*((-4932)/27 + -9). Calculate the highest common factor of 75 and q.", "a": "25" }, { "q": "Let k = -53 + 52. Let a be 1/(k + 2) + (57 - -2). What is the highest common factor of a and 45?", "a": "15" }, { "q": "Let a be (-6)/(3 - (10/4)/(2/4)). Calculate the greatest common factor of 1368 and a.", "a": "3" }, { "q": "Let z(x) = 95*x - 22. Let b be z(4). Let v = b + -254. Calculate the highest common factor of v and 16.", "a": "8" }, { "q": "Let f(q) = q**3 - 26*q**2 + 48*q - 3. Let w be f(24). Let k be (w - (-64)/(-12))/((-2)/18). What is the highest common factor of k and 375?", "a": "75" }, { "q": "Suppose 25*k + 42924 = 39*k. Calculate the highest common factor of 84 and k.", "a": "42" }, { "q": "Suppose 6511 = -135*r + 10894 + 8712. What is the greatest common factor of r and 1?", "a": "1" }, { "q": "Suppose 2*t - 175 = -3*v, 0 = -52*v + 48*v - t + 230. Suppose 532 = k + 3*k. What is the greatest common divisor of v and k?", "a": "19" }, { "q": "Let a(v) = 6*v - 3. Let q = -39 + 50. Suppose 0 = -2*f + f + q. Let h be a(f). What is the highest common factor of 7 and h?", "a": "7" }, { "q": "Suppose -5*l = -4*o + 6830, -3*o = 2*o + 4*l - 8558. Calculate the highest common factor of o and 18.", "a": "18" }, { "q": "Let u = -66 + 74. Suppose -u*a = -29 - 43. Calculate the greatest common factor of 45 and a.", "a": "9" }, { "q": "Suppose -x + 40 = w, -5*w - 5*x = -9*w + 160. What is the highest common factor of w and 376?", "a": "8" }, { "q": "Suppose -3*j + 15 = 3*a, -1 = 3*a + 2*j - 21. Suppose -a*w + 1330 = 4*w. Calculate the highest common factor of 5 and w.", "a": "5" }, { "q": "Let x(z) = 138*z - 1128. Let w be x(9). Calculate the highest common factor of 1862 and w.", "a": "38" }, { "q": "Let s be 1/10*392 + 4/(-20). Calculate the greatest common factor of 247 and s.", "a": "13" }, { "q": "Suppose -2*f - 2*q = -76, -406 = 3*f - 5*q - 496. Calculate the highest common factor of f and 945.", "a": "35" }, { "q": "Let q be (3/8*14)/(10/40). Let r = q + -23. Let h be (33/22)/((-3)/r). What is the greatest common divisor of h and 2?", "a": "1" }, { "q": "Let p(u) = -7*u + 12. Let m(v) = -15*v + 27. Let i(s) = -3*m(s) + 5*p(s). Let j be i(6). Calculate the highest common divisor of j and 3.", "a": "3" }, { "q": "Let i = 45 - 21. Let j = i - 21. Let o be j + 20/(-4) + 32. What is the greatest common divisor of 6 and o?", "a": "6" }, { "q": "Let r(n) = 5*n**2 - 61*n - 322. Let i be r(-5). Calculate the highest common factor of 414 and i.", "a": "18" }, { "q": "Let t(r) = r**2 + 179*r + 4. Let s be t(0). Calculate the greatest common divisor of s and 16.", "a": "4" }, { "q": "Let z be ((-13)/2)/((-3)/54*(-6)/(-32)). Calculate the greatest common factor of z and 390.", "a": "78" }, { "q": "Let w = -686 + 778. Calculate the greatest common factor of w and 2300.", "a": "92" }, { "q": "Let h = 324 - -806. Let r = h - 785. What is the greatest common factor of r and 15?", "a": "15" }, { "q": "Let h be -48*((-5)/(-10) - 0). Let d = 0 - h. Suppose -4*g = a - d, -g + 6 = -0*a - 4*a. What is the greatest common divisor of g and 54?", "a": "6" }, { "q": "Let b be -18*(1 - 3) - (3 + -2). Let a be 3/18*124 + 1/3. What is the greatest common factor of b and a?", "a": "7" }, { "q": "Let f(p) = -p**3 - p**2 + 492. Let n be f(0). Suppose 4*d + 24*i - 8*i = 144, 5*d - 4*i - 36 = 0. Calculate the highest common factor of n and d.", "a": "12" }, { "q": "Let p(u) = u**2 + 8*u + 68. Let g be p(-6). Suppose -27 = -3*q - 3. Calculate the highest common divisor of q and g.", "a": "8" }, { "q": "Suppose 0 = 5*p + 5*i - 3*i - 169, -6 = 2*i. Suppose -4*u = -37 - p. Let a be 84/(-35)*(-30)/2. Calculate the greatest common factor of u and a.", "a": "18" }, { "q": "Suppose 180 = 10*w - 6*w. Suppose -79*t + 82*t = 81. What is the highest common divisor of w and t?", "a": "9" }, { "q": "Suppose -48*q + 810 = -42*q + 39*q. Calculate the greatest common divisor of q and 14.", "a": "2" }, { "q": "Let o(z) = 107*z**3 - 7*z**2 + 18*z - 21. Let x be o(4). Calculate the highest common divisor of 11 and x.", "a": "11" }, { "q": "Let y = -3155 + 3505. Calculate the greatest common divisor of y and 56.", "a": "14" }, { "q": "Suppose 0 = 5*l + 2*l + 463 - 4383. What is the greatest common factor of l and 720?", "a": "80" }, { "q": "Let f = 15 - 8. Let s be (8/4)/((-4)/142). Let p = -22 - s. Calculate the highest common divisor of p and f.", "a": "7" }, { "q": "Let f be (-13 - 229)*(-244)/8. What is the highest common divisor of f and 121?", "a": "121" }, { "q": "Let o = 1441 - 1421. Suppose 5*v = 4*v + a + 45, -2*a + 260 = 5*v. What is the highest common factor of o and v?", "a": "10" }, { "q": "Let m(k) = -7*k**3 + 9*k**2 - 3*k - 7. Let y be m(-2). What is the highest common factor of 35 and y?", "a": "7" }, { "q": "Let d(l) = -4*l**2 - 10*l - 3. Let s be d(3). Let p be s/(-115) + (-132)/(-5). Calculate the greatest common factor of 27 and p.", "a": "27" }, { "q": "Let i = 4151 - 3661. What is the highest common divisor of 20 and i?", "a": "10" }, { "q": "Let g = -23864 - -23887. Let q = -61 + 130. Calculate the highest common factor of g and q.", "a": "23" }, { "q": "Let q(x) = x**2 - 80*x - 601. Let d be q(-7). Let c be (16/12)/((-1)/(-6)). What is the highest common factor of c and d?", "a": "8" }, { "q": "Suppose -27*l - 33840 = -107*l. What is the highest common factor of l and 188?", "a": "47" }, { "q": "Suppose -18*f = 2*f - 1760. What is the highest common divisor of 407 and f?", "a": "11" }, { "q": "Suppose -2*l + 69136 = 23*l + 4*l. What is the greatest common divisor of 24 and l?", "a": "8" }, { "q": "Let p be (-375)/(-24)*2 + (-6)/(-8). Let g(m) = -11*m - 69. Let f be g(-7). Calculate the greatest common factor of f and p.", "a": "8" }, { "q": "Suppose 0 = 5*j + 5, 69*k = 72*k - 4*j - 808. What is the highest common factor of 28 and k?", "a": "4" }, { "q": "Let j(y) = y**3 - 5*y**2 + 2*y + 2. Let g be j(5). Let w be (-49)/(-3) - 4/g. Suppose -282*q = -304*q + 3168. What is the highest common divisor of q and w?", "a": "16" }, { "q": "Let b be 5 + (1 - -2677) + -4. What is the highest common divisor of 94 and b?", "a": "47" }, { "q": "Let p = 57 - 48. Suppose 3*x - p = 6. Suppose 67 = x*o - 3*o - 3*a, -12 = -4*a. What is the highest common factor of 19 and o?", "a": "19" }, { "q": "Suppose -17*t - 4 = -13*t. Let u be (2 + -10)/(t - 11/(-12)). What is the greatest common factor of 64 and u?", "a": "32" }, { "q": "Suppose -248 = -6*q + 412. Let f = 180 - q. Calculate the greatest common divisor of 40 and f.", "a": "10" }, { "q": "Suppose 0 = 10*i + 2*w - 560, -2*i + 18*w + 85 = 13*w. Calculate the highest common factor of i and 825.", "a": "55" }, { "q": "Let w be (-14 + (-568)/(-14))*63. What is the greatest common divisor of 108 and w?", "a": "54" }, { "q": "Let g be (7 - 14 - -3 - 4) + 744. Calculate the greatest common factor of g and 23.", "a": "23" }, { "q": "Suppose 0 = 3*t - 2*a - 8134, 935*t + 2*a - 13562 = 930*t. Calculate the highest common divisor of 24 and t.", "a": "24" }, { "q": "Let i = 33 - 33. Suppose 3*d = -4*t - 2*d + 682, 3*t + 2*d - 508 = 0. Suppose t = -i*u + 3*u. Calculate the highest common divisor of u and 8.", "a": "8" }, { "q": "Let v be 3/(-3) + 9 + 0. Let g be (102/v - -1)*4. Suppose 4*r + 36 = 4*m, -m - 3*r = 4*m - 13. What is the highest common factor of m and g?", "a": "5" }, { "q": "Let n = -1 + -2. Let g be n/((-2)/(-3)*(-3)/2). Suppose -5*r - 6 = -b - 0*r, 4*b - 2*r - 24 = 0. Calculate the greatest common factor of b and g.", "a": "3" }, { "q": "Let m be -3 - 1 - ((-1)/4 - 16950/40). What is the greatest common factor of m and 36?", "a": "12" }, { "q": "Let l(q) = -q**2 + 3*q + 1. Let o be l(4). Let r be (o/(-5))/((-2)/(-10)). Let u = -1267 - -1270. What is the greatest common divisor of r and u?", "a": "3" }, { "q": "Let q(u) = -2*u - 8. Let z be q(-8). Let l be 95*1 + z/8. Let y = 629 - 617. What is the greatest common divisor of y and l?", "a": "12" }, { "q": "Let u = -51 - -33. Let z be (u/(-8))/(((-156)/(-112))/13). Calculate the greatest common factor of 21 and z.", "a": "21" }, { "q": "Let h(r) be the second derivative of -r**4/12 + 3*r**3/2 + 3*r**2 - 11*r. Let x be h(6). Let s = 21 + -18. Calculate the highest common factor of s and x.", "a": "3" }, { "q": "Suppose -2*c - 5*m = -m - 2, c + 5*m + 5 = 0. Let k(w) = w**2 + 3*w + 2. Let s be k(c). Calculate the highest common factor of s and 6.", "a": "6" }, { "q": "Suppose -j - 3*y - 642 = -3*j, -2*j = y - 642. What is the highest common divisor of j and 1391?", "a": "107" }, { "q": "Let u(h) = -h + 15. Let y be u(12). Suppose 2*a - 50 = -y*z, 2 = -2*a + 10. What is the greatest common divisor of 49 and z?", "a": "7" }, { "q": "Suppose -2*h = 43*h - 19260. Calculate the highest common factor of h and 4.", "a": "4" }, { "q": "Let u(g) = -45*g - 300. Let o be u(-9). What is the highest common factor of o and 255?", "a": "15" }, { "q": "Let o(f) = f. Let y(l) = l**2 + 15*l + 19. Let q be y(-14). Let h be o(q). Let u(g) = 3*g - 3. Let z be u(h). Calculate the highest common factor of 36 and z.", "a": "12" }, { "q": "Let l = -2690 + 2981. Calculate the greatest common factor of l and 9.", "a": "3" }, { "q": "Let q be 3 + 4/2 + 3. Suppose -4*o - 45 = -221. Calculate the greatest common factor of q and o.", "a": "4" }, { "q": "Let a be (83850/(-117))/(((-2)/6)/(4/8)). Calculate the highest common divisor of a and 50.", "a": "25" }, { "q": "Suppose -5*z - 2*c = -z + 12, -c = -2*z - 6. Let x be (-7)/z - 2/6. Let b(d) = 3*d**2 - 4*d + 4. Let o be b(x). What is the highest common divisor of o and 80?", "a": "8" }, { "q": "Let v be (2/5)/(2/(-70)). Let z be (-1)/(-4 + (-54)/v). Let p(o) = o**2 + 7*o. Let s be p(z). Calculate the greatest common factor of s and 14.", "a": "14" }, { "q": "Let l be 14/((42/6)/35). What is the greatest common divisor of 1540 and l?", "a": "70" }, { "q": "Let y be (-1 + 2)*(-4 - -17). Let l(t) = -30*t**2 + y*t - 8*t + 28*t**2 - t**3. Let n be l(-4). What is the greatest common divisor of 60 and n?", "a": "12" }, { "q": "Suppose 19*u - 164 = 501. Let b be ((-324)/42)/((-5)/u). What is the highest common factor of 90 and b?", "a": "18" }, { "q": "Suppose 3*w = -3*l + 83 - 14, -w - 4*l + 38 = 0. Calculate the greatest common factor of w and 6318.", "a": "18" }, { "q": "Let t = -1209 - -1222. What is the highest common divisor of 2 and t?", "a": "1" }, { "q": "Suppose -3*g + 6*g - 3*u - 39 = 0, 3*g + 3*u = 33. Let x(f) = 2*f**2 + 15*f - 524. Let r be x(13). Calculate the greatest common factor of r and g.", "a": "3" }, { "q": "Let g(v) = -10*v**2 + 10*v + 21. Let o be g(-3). Let y = 539 + o. What is the highest common factor of 40 and y?", "a": "40" }, { "q": "Let y(n) = -5*n + 1. Let c be y(-1). Let r(q) = -q**3 - 7*q**2 - 9*q - 3. Let d be r(-4). Let l be 2/c - 2515/d. What is the greatest common factor of l and 21?", "a": "21" }, { "q": "Suppose -3*d + 449 + 83 + 152 = 0. Calculate the highest common factor of d and 108.", "a": "12" }, { "q": "Let i = -2 + 0. Let x(t) = 8*t**2 + t - 1. Let k be x(i). Suppose -2*r + 698 = 3*n, -944 = -5*n + r + 215. Calculate the highest common factor of n and k.", "a": "29" }, { "q": "Let z = -76 + 75. Let t(q) = 53*q**2 - 3*q - 4. Let j be t(z). What is the greatest common divisor of 4 and j?", "a": "4" }, { "q": "Let p(a) = a**2 + 10*a + 22. Let n be p(-4). Let k be (n - (3 + -4))/((-3)/93). Calculate the highest common divisor of k and 217.", "a": "31" }, { "q": "Suppose -2*o + 173 = -135. Suppose -266 - o = -5*p. Let t(d) = -3*d**3 - 2*d**2 + 2*d. Let m be t(-2). Calculate the greatest common divisor of p and m.", "a": "12" }, { "q": "Let b(o) = o**3 + 5*o**2 - 2*o + 7. Let t be b(-5). Let a = -37128 - -37417. Calculate the highest common factor of t and a.", "a": "17" }, { "q": "Suppose 3*g - 149 = 67. Let b = -50 + g. Let l = b + 12. What is the greatest common factor of 85 and l?", "a": "17" }, { "q": "Suppose -15788*v = -15796*v + 4920. What is the greatest common divisor of v and 984?", "a": "123" }, { "q": "Let i = 243 + -359. Let w be (1/4)/((-1)/i). Suppose -11990 = -39*f - 680. Calculate the highest common factor of f and w.", "a": "29" }, { "q": "Let w(x) = -x**3 - x**2 + 3*x - 26. Let z be w(6). Let t = -221 - z. What is the highest common divisor of t and 26?", "a": "13" }, { "q": "Let m = 4419 - 4125. Calculate the greatest common divisor of m and 210.", "a": "42" }, { "q": "Let j = -177 - -182. Suppose -4*v - 2*b = -2*v - 192, j*v = -2*b + 471. Calculate the highest common factor of 62 and v.", "a": "31" }, { "q": "Let p = 1773 - 703. Suppose 5*k - p = -5*w, 5*k + 282 = w + 92. What is the highest common divisor of 60 and w?", "a": "30" }, { "q": "Suppose -27 = 3*r - 5*o, -2*r + 8 = o + 39. Let x be r + 17 + 1*-6 + 20. What is the highest common factor of 85 and x?", "a": "17" }, { "q": "Let z be 5 + -4 + 8 - -3. Let n be 13 - (2 - (-1 - 1)). What is the highest common divisor of z and n?", "a": "3" }, { "q": "Suppose 92*r = 5*w + 89*r - 1197, -4*w + 3*r = -957. What is the highest common factor of w and 28?", "a": "4" }, { "q": "Let h(y) = y**2 + 11*y + 18. Let x be h(-10). Let p be x + -5 - (-11)/(-1). Let c be (-1 - 1)/2 + (-3 - p). Calculate the highest common factor of c and 2.", "a": "2" }, { "q": "Suppose -5*q = -p - 16, -4*q = -3*q - p. Suppose q*s - 390 = -2*z, 5*s - 7*s + 3*z + 175 = 0. Calculate the greatest common factor of 38 and s.", "a": "19" }, { "q": "Let w = -1140 - -1515. What is the greatest common divisor of w and 3?", "a": "3" }, { "q": "Suppose -24*n + 33*n + 528 = 20*n. What is the highest common divisor of 75 and n?", "a": "3" }, { "q": "Suppose 0 = 3*i + 3*s - 21, 7*i + 19 = 11*i + s. Suppose 19*u - 165 = i*u. Calculate the greatest common divisor of u and 99.", "a": "11" }, { "q": "Let w be 0 + 0 + (-551)/(-19). Let p = w + -27. Let v be 33/8 + p/(-16). Calculate the highest common factor of v and 44.", "a": "4" }, { "q": "Let v be 90*(3/2 + -1). Calculate the greatest common divisor of 2280 and v.", "a": "15" }, { "q": "Suppose 2*m + 18*m + 31*m - 765 = 0. Calculate the greatest common divisor of 185 and m.", "a": "5" }, { "q": "Let a = 6622 + -3733. Calculate the greatest common divisor of 27 and a.", "a": "27" }, { "q": "Suppose 1654 = 4*x - 434. Suppose -22*m + x = -1854. What is the highest common factor of 12 and m?", "a": "12" }, { "q": "Let f be (-9 - 80/(-8)) + 1*95. Calculate the highest common divisor of 312 and f.", "a": "24" }, { "q": "Suppose -4*h - 28 = 4*p, -6 = 5*h - 2*h. Let l be (-137)/(-4) + p/20. Let c = 476 + -204. What is the greatest common divisor of c and l?", "a": "34" }, { "q": "Suppose -48*q + 2815 = -43*q. Let x = q + -293. Calculate the highest common factor of 54 and x.", "a": "54" }, { "q": "Suppose 12 = d - 5*u, 0*u - u + 20 = 3*d. Let c be (d/2 + -1)*14. Let x be (c/2)/(-5)*-2. Calculate the greatest common divisor of 49 and x.", "a": "7" }, { "q": "Suppose 12 = -3*u + 12. Suppose u = -3*r - 51 + 24. Let q be ((-1330)/12)/(-5) - r/(-54). Calculate the greatest common divisor of 2 and q.", "a": "2" }, { "q": "Let r be ((-134)/6)/(-1) + 476/714. Let p = 10 - 5. Suppose 0*g - p*g = -805. Calculate the highest common divisor of r and g.", "a": "23" }, { "q": "Let o be (1449/14)/((-267)/(-132) + -2). Suppose 0 = 12*l + 11*l - o. Let y be (2/4)/(2/88). Calculate the highest common factor of l and y.", "a": "22" }, { "q": "Let a = 41857 + -41844. Let y = -474 + 695. Calculate the greatest common factor of y and a.", "a": "13" }, { "q": "Let z(o) = -2*o**2 + 3*o + 85. Let x be z(7). Suppose -452 = -5*j + 3*q, 52 = 2*j - q - 128. What is the highest common factor of j and x?", "a": "8" }, { "q": "Let r = 1656 + -1271. Calculate the greatest common factor of r and 110.", "a": "55" }, { "q": "Suppose -191*t - 46151 = -198*t. What is the greatest common factor of 19 and t?", "a": "19" }, { "q": "Suppose 5*i + 159 = 2919. Let q be (i/(-9))/((-3)/18). Suppose 4*j + 4*t = j + q, -4*t - 112 = -j. Calculate the highest common factor of j and 20.", "a": "20" }, { "q": "Let c = 24 - 22. Suppose -a + f - 20 = -3*a, c*f - 4 = 0. Let y = 58 - -23. What is the highest common factor of y and a?", "a": "9" }, { "q": "Let f(p) = -p + 5. Let h be f(-4). Suppose -s + 72 = -2*n, -4*n - 136 = s - 208. Calculate the highest common factor of h and s.", "a": "9" }, { "q": "Let h = 1092 - 448. Suppose 4*o = -3*n + 1960, -n + o + 0*o = -h. Suppose -2*k + 162 = l, 3*k = l + 3*l - n. Calculate the greatest common divisor of 18 and l.", "a": "18" }, { "q": "Let u = 75 + -52. Let j = u + -21. Suppose -3*i + j*i - 111 = -4*g, 0 = 5*i - 5. Calculate the greatest common divisor of 4 and g.", "a": "4" }, { "q": "Suppose 22 = 2*w + 4*o, -2*w = -62*o + 60*o - 34. Let d be (-438)/(-30) - (-2)/5. Calculate the greatest common factor of w and d.", "a": "15" }, { "q": "Suppose -1955 = -29*d + 5933. Calculate the greatest common divisor of d and 374.", "a": "34" }, { "q": "Let r = 4365 + -3537. Calculate the highest common divisor of 345 and r.", "a": "69" }, { "q": "Suppose 6*d - 15 = -c + 3*d, -3*d = -3*c + 21. Let b = -4292 - -4319. Calculate the highest common divisor of c and b.", "a": "9" }, { "q": "Let v = 4043 - -2018. What is the greatest common divisor of 209 and v?", "a": "209" }, { "q": "Suppose -d = -u + 2, 46*d = 3*u + 50*d - 20. Calculate the highest common factor of 1944 and u.", "a": "4" }, { "q": "Let t(l) = 20*l + 1 + 6 + 0 - 8. Let d be t(2). Suppose -4 + 0 = -2*g - 4*i, 0 = -3*g + 5*i + d. Calculate the highest common factor of g and 2.", "a": "2" }, { "q": "Let u = -150 + 203. Suppose -2*b = 3*t - u, 0*b + t - 43 = -2*b. What is the highest common divisor of 323 and b?", "a": "19" }, { "q": "Let j be (-11)/(-3) - 124/(-93). Suppose 467 = j*g + 152. Calculate the highest common divisor of 27 and g.", "a": "9" }, { "q": "Let q = 1743 + -1545. Calculate the highest common divisor of 1617 and q.", "a": "33" }, { "q": "Suppose -3*o - 16*u + 837 = -13*u, 2*u + 817 = 3*o. What is the greatest common divisor of o and 935?", "a": "55" }, { "q": "Let m be 340907/93 + (-1)/(-3). What is the highest common factor of 13 and m?", "a": "13" }, { "q": "Let w = -13 - -26. Let g = w - 1. Let q = 9 + g. What is the greatest common divisor of q and 63?", "a": "21" }, { "q": "Let h(y) be the third derivative of -y**6/60 + 2*y**5/15 + y**4/6 + y**3/3 - y**2 + 11. Let n be h(-5). Calculate the highest common divisor of 16 and n.", "a": "16" }, { "q": "Let a(z) = z**2 - 9*z - 9. Let o be a(9). Let f be (-7)/(-28)*o*208/(-6). What is the highest common factor of 104 and f?", "a": "26" }, { "q": "Let f = 701 + -293. Calculate the greatest common factor of 238 and f.", "a": "34" }, { "q": "Let a be -22 + 2*((-20)/(-8) - 2). Let p = 33 + a. Suppose -5*v = -p + 2. What is the greatest common divisor of v and 18?", "a": "2" }, { "q": "Let m(i) be the first derivative of 7*i**2/2 - 21*i - 46. Let c be m(5). What is the highest common divisor of 7 and c?", "a": "7" }, { "q": "Let z = -5 + 10. Let v(g) = g**3 - 5*g**2 + 2*g + 2. Let u be v(z). Let w be 106 + (4/(-6))/((-9)/27). Calculate the highest common divisor of u and w.", "a": "12" }, { "q": "Let y be 211/3 + -2 + (-4)/(-6). Let g = -37 + y. Calculate the highest common factor of g and 208.", "a": "16" }, { "q": "Let j(u) = u - 27. Let t be j(30). Suppose 0 = t*y - 17 - 4. Calculate the greatest common divisor of y and 77.", "a": "7" }, { "q": "Let n(f) = 62*f + 1019. Let j be n(-15). What is the greatest common divisor of 3293 and j?", "a": "89" }, { "q": "Let x(j) = j**3 + 16*j**2 - 41*j - 9. Let g be x(-18). Calculate the greatest common factor of 57 and g.", "a": "3" }, { "q": "Suppose -1023 = -3*q + 5*p, 33 = -q + 4*p + 381. Suppose m - q = -5*m. What is the highest common divisor of m and 98?", "a": "14" }, { "q": "Let k be (32/(-56))/(-2) - (-780)/14. What is the highest common divisor of k and 2674?", "a": "14" }, { "q": "Let o(c) = 5*c**2 + 41*c + 332. Let m be o(-9). Calculate the highest common factor of 115 and m.", "a": "23" }, { "q": "Let t(n) = 101*n + 6. Let j = -215 + 217. Let q be t(j). What is the highest common factor of q and 26?", "a": "26" }, { "q": "Let v be 2/8 + -62*9/(-72). Suppose -v*l + 6 = -7*l. Calculate the highest common divisor of 42 and l.", "a": "6" }, { "q": "Let j = -9 - -15. Suppose j*i - 187 = 581. Suppose -8 = 6*f - i. Calculate the greatest common divisor of f and 10.", "a": "10" }, { "q": "Let n = 11759 + -5484. What is the highest common factor of n and 25?", "a": "25" }, { "q": "Let x(g) = -2*g**2 - 121*g - 550. Let n be x(-5). Calculate the greatest common factor of n and 19.", "a": "1" }, { "q": "Let o be (12 + 2 - -201)*16. What is the highest common divisor of 160 and o?", "a": "80" }, { "q": "Let c be (-19)/(95/(-15))*(-82)/(-3) - 1. What is the highest common divisor of c and 675?", "a": "27" }, { "q": "Let t be 10/(-3) - (3 - (-30)/(-9)). Let y(r) = -3*r + 10. Let z be y(t). Calculate the greatest common factor of z and 38.", "a": "19" }, { "q": "Suppose -16*a + 6 = -13*a. Suppose 10 - a = -2*y. Let r(c) = -c**3 + 6*c - 2. Let s be r(y). Calculate the highest common divisor of s and 19.", "a": "19" }, { "q": "Suppose 5*h = 4*d + 2238, -389 = -h + 7*d + 40. Calculate the highest common divisor of 210 and h.", "a": "30" }, { "q": "Let h be 3 + -1 + -61 + 83. Let q be -3 + (-54 - -3) + 0. Let c be (q/(-15))/((-6)/(-200)). Calculate the highest common factor of c and h.", "a": "24" }, { "q": "Suppose 26 = 7*t - 5*t. Suppose 3*k = 2*k + t. Let f be (-4)/(-14) + (-89)/(-7). Calculate the highest common divisor of f and k.", "a": "13" }, { "q": "Let h(z) = z**2 + 4*z - 67. Let q be h(-13). What is the greatest common divisor of 6 and q?", "a": "2" }, { "q": "Let i(s) = -111*s - 1069. Let q be i(-19). What is the greatest common divisor of q and 650?", "a": "130" }, { "q": "Suppose -113*w + 126*w = 233 + 339. Calculate the highest common divisor of w and 869.", "a": "11" }, { "q": "Let h = 50 - 6. Let p be (0 + -1)/(19/(-57)). Suppose -p*d = -3*g, 5*g - 2*d - 20 = -8. Calculate the highest common factor of g and h.", "a": "4" }, { "q": "Let l be (5 - -44) + 3 - 4. Let m be (-8)/((-21)/18*(-4)/(-56)). What is the highest common factor of l and m?", "a": "48" }, { "q": "Let b(r) = -r**2 + 31*r + 113. Let u be b(34). Suppose -4 = -z + u. Calculate the highest common factor of z and 55.", "a": "5" }, { "q": "Let a be (6/2)/((-228)/(-87780)). Calculate the highest common factor of 30 and a.", "a": "15" }, { "q": "Suppose 23 = 3*s + 2*n, 5*n + 2 = -2*s + 21. What is the highest common divisor of 1694 and s?", "a": "7" }, { "q": "Let g = 4202 + -3898. Calculate the greatest common divisor of g and 32.", "a": "16" }, { "q": "Let p = -4020 - -4086. What is the greatest common factor of p and 4818?", "a": "66" }, { "q": "Let j = 9 + -9. Suppose -2*d + z - 5 = 6, j = -3*d + 4*z - 29. Let g be (-3 + (-3)/(-2))*46/d. What is the highest common divisor of g and 115?", "a": "23" }, { "q": "Let a = -3 + -5. Let k(y) = -y**2 - 10*y - 11. Let q be k(a). Suppose 31 + 4 = q*w. What is the greatest common factor of w and 77?", "a": "7" }, { "q": "Let w = 23 + -6. Let z(f) = -f**3 - 10*f**2 - 8*f - 9. Let t be z(-7). Let j = 236 + t. Calculate the highest common factor of w and j.", "a": "17" }, { "q": "Let c(m) = 5*m**2 - 4 + 3*m**3 - 6*m**2 - 2*m**2. Let k be c(3). Suppose 7*z - 12*z = -k. Calculate the greatest common factor of z and 2.", "a": "2" }, { "q": "Let z = 199 - 196. Let y be (-17)/z*3/(-1). Calculate the highest common factor of y and 221.", "a": "17" }, { "q": "Suppose 0 = -2*q - q + 15. Suppose 8*l - q = -5. Suppose 5*r - 35 - 85 = l. Calculate the highest common divisor of r and 12.", "a": "12" }, { "q": "Let w be ((-4)/3)/(160/(-1800)). Suppose 35 + w = 5*y. Calculate the greatest common divisor of 45 and y.", "a": "5" }, { "q": "Suppose -5*j - 13 = 3*d, -2*d + 2*j = 12 + 2. Let i be 2/5 + (2765/25 - d). What is the greatest common divisor of i and 18?", "a": "9" }, { "q": "Let o be (2600/208)/(5/24). Calculate the highest common divisor of 345 and o.", "a": "15" }, { "q": "Let x be ((-92)/(-16))/((-2)/(-24)). What is the greatest common factor of 2369 and x?", "a": "23" }, { "q": "Let l(g) = g**3 - 12*g**2 - 14*g + 252. Let x be l(12). What is the highest common factor of 576 and x?", "a": "12" }, { "q": "Let t(k) = -20*k - 9. Let a be t(-6). Let y = -33 - -38. Suppose 0*n + 3*i - 163 = -4*n, -y*n - 4*i + 205 = 0. Calculate the highest common factor of a and n.", "a": "37" }, { "q": "Let p = 21 - 19. Let l be (-1 - (-1 - p)) + 0. Let c be 2*l/(-5)*(-285)/6. What is the greatest common factor of 57 and c?", "a": "19" }, { "q": "Suppose -y + 2 = 0, -4*y - y = 2*h - 22. Suppose -h*a - 143 = -467. Calculate the highest common factor of a and 81.", "a": "27" }, { "q": "Let h = 386 - -120. Suppose 3*l - 33 = -i + 105, -2*l = i - 92. What is the greatest common factor of l and h?", "a": "46" }, { "q": "Suppose 118*z = 115*z + 45. Suppose z*j - 120 = 3*j. Calculate the highest common divisor of 25 and j.", "a": "5" }, { "q": "Let b = -1744 - 263. Let n be b/(-54) - (2/12 - 0). Calculate the highest common divisor of 481 and n.", "a": "37" }, { "q": "Let l = 568 - 255. Suppose 4*n - 1665 = -l. Suppose 3*z - 148 = n. What is the greatest common factor of z and 18?", "a": "18" }, { "q": "Suppose 1077 = 3*p + 5*g, 4*p + 2*g = 8*p - 1462. Calculate the greatest common divisor of p and 676.", "a": "52" }, { "q": "Let k = 798 + -555. Suppose -x = 10*x - 594. What is the highest common divisor of x and k?", "a": "27" }, { "q": "Let a(h) = h**2 - h + 66. Let n be a(0). Let u be (-5)/15*3*33. Let q = u + 55. What is the highest common factor of n and q?", "a": "22" }, { "q": "Let a be ((3 - 7)/(-4) - 4)/1. Let t(x) = -7*x + 5. Let l be t(-4). Let w be (-18)/(1*a/l). Calculate the highest common factor of 18 and w.", "a": "18" }, { "q": "Let v(s) = -165*s + 180. Let o be v(-3). What is the greatest common divisor of o and 18?", "a": "9" }, { "q": "Let m(k) = k**3 - k**2 - 31*k + 6. Let g be m(6). Suppose 4*a + 38 = 2*b, -2*b - 14*a + 12*a + 62 = g. Calculate the greatest common factor of b and 72.", "a": "9" }, { "q": "Suppose -16*j + 51975 = 15*j + 46*j. What is the highest common factor of j and 9?", "a": "9" }, { "q": "Let s be 37 + 11/(-2) + (-3)/(-2). What is the highest common factor of 1727 and s?", "a": "11" }, { "q": "Let l(k) = 279*k - 15. Let w be l(4). Suppose w + 357 = 9*q. What is the greatest common factor of 36 and q?", "a": "18" }, { "q": "Suppose 108*m - 6949 - 5584 = 12307. Let f be (2*-2)/((-4)/10). What is the greatest common divisor of f and m?", "a": "10" }, { "q": "Suppose -5*p + 4*g = -84, 2*p - g + 24 = 57. What is the highest common divisor of 16 and p?", "a": "16" }, { "q": "Suppose -2*w - 3*w + 210 = 0. Suppose -11*s = -46 - w. Let q be 2472/28 + 2/(-7). Calculate the highest common factor of s and q.", "a": "8" }, { "q": "Let y = 0 + 2. Suppose -1 = i - y. Let b(l) = 41*l**3 - l**2 + 1. Let t be b(i). What is the greatest common factor of t and 41?", "a": "41" }, { "q": "Let v be 2 + -2 + 18/6. Let q(z) = 8*z**2 - 8*z + 15. Let a be q(v). What is the greatest common divisor of 7 and a?", "a": "7" }, { "q": "Suppose -1468 = -41*n + 90. What is the highest common factor of 1007 and n?", "a": "19" }, { "q": "Let i(d) = 7*d**2 + 15*d - 26. Let v(s) = 9*s**2 + 16*s - 27. Let h(u) = 5*i(u) - 4*v(u). Let q be h(5). What is the greatest common divisor of q and 6?", "a": "2" }, { "q": "Let a = -10897 + 16377. What is the greatest common factor of a and 40?", "a": "40" }, { "q": "Suppose -6 = -4*l - 2. Let d(u) = -4 + 575*u**2 + 119*u**3 + 5 - 4 - 576*u**2 + 4. Let b be d(l). Calculate the highest common factor of b and 17.", "a": "17" }, { "q": "Let a = 12 + 11. Suppose -64 = -a*b + 281. Calculate the highest common factor of 9 and b.", "a": "3" }, { "q": "Suppose 0 = 47*s - 60944 + 15448. Calculate the highest common factor of s and 363.", "a": "121" }, { "q": "Let g = 4558 + -4023. What is the greatest common factor of g and 5?", "a": "5" }, { "q": "Let q = 6091 + -1227. Calculate the highest common factor of q and 19.", "a": "19" }, { "q": "Suppose 4*p - 10 = -2*k, -4*p = -5*p + 1. Suppose r + 42 = k*r. Suppose g - 4 = r. Calculate the highest common divisor of g and 10.", "a": "5" }, { "q": "Suppose 105 = 142*b - 137*b. Let k be 656/6 - ((-98)/b)/7. Let o(f) = 9*f**3 + f. Let j be o(1). What is the greatest common divisor of j and k?", "a": "10" }, { "q": "Suppose s = -3*x + 94, 0 = -23*x + 21*x + 8. What is the greatest common divisor of 32 and s?", "a": "2" }, { "q": "Let r(n) be the third derivative of -n**5/60 - n**4/6 + n**3/2 - n**2. Let m = 1541 - 1545. Let c be r(m). Calculate the highest common factor of 24 and c.", "a": "3" }, { "q": "Let u be ((-200)/(-24))/(2/6). Let v = 34 + -46. Let z = v + u. What is the greatest common divisor of z and 26?", "a": "13" }, { "q": "Let n(b) = -29*b + 263. Let h be n(9). What is the highest common factor of h and 14?", "a": "2" }, { "q": "Suppose 44*m + 46*m = 990. Suppose -4*k - 658 = 2*c, 4*c = -3*k - k - 656. Let g be ((-10)/3)/(10/k). What is the greatest common divisor of g and m?", "a": "11" }, { "q": "Let d(w) = w**3 - 2*w**2 + 3*w. Let i be d(2). Let o = -143 - -95. Let y = o - -63. Calculate the greatest common divisor of i and y.", "a": "3" }, { "q": "Suppose 7*z - 119 = 882. Let t = -72 + z. Let g = t + -41. What is the greatest common factor of g and 20?", "a": "10" }, { "q": "Let i(y) = -75*y**2 - 604*y + 1. Let o be i(-8). What is the highest common factor of 138 and o?", "a": "3" }, { "q": "Let n(a) = 13*a**2 - 2*a - 5. Let x(s) = -2*s**2 - 20*s - 14. Let r be x(-9). Let h be n(r). Calculate the greatest common divisor of 39 and h.", "a": "39" }, { "q": "Let k(m) = -4*m**3 - 3*m**2 - 6*m - 4. Let o be k(-1). Suppose t - 6 = d + 3, 21 = 5*t + o*d. Calculate the greatest common factor of t and 30.", "a": "6" }, { "q": "Let i = -4313 - -4778. Calculate the highest common factor of i and 3100.", "a": "155" }, { "q": "Let c be (-1976)/(-2) - (2 + (21 - 23)). What is the highest common divisor of 52 and c?", "a": "52" }, { "q": "Suppose l - 5*t = 13, -5*l - 3*t + 108 = 15. What is the greatest common divisor of 657 and l?", "a": "9" }, { "q": "Let o be (-1)/(-1)*4 + (13 - -13). What is the greatest common factor of o and 1090?", "a": "10" }, { "q": "Let r(h) = 8*h - 6. Let g be r(6). Suppose 24*b - 85 = 203. What is the highest common factor of b and g?", "a": "6" }, { "q": "Let y be ((-318)/9)/(-1) - 14/42. Let c be 8*y/42*6/4. What is the highest common factor of c and 50?", "a": "10" }, { "q": "Let d be 212/(((-1)/(-4))/((-1)/16*-24)). Calculate the highest common divisor of 72 and d.", "a": "24" }, { "q": "Let b = 2100 + -1462. What is the highest common factor of 66 and b?", "a": "22" }, { "q": "Let q = -2076 + 4330. Let n be q/(-63) + (-1 - 7/(-9)). Let g be (-2)/(-1)*n/(-3). Calculate the highest common divisor of g and 3.", "a": "3" }, { "q": "Let y(x) = -8*x**3 + 25*x + 25. Let w be y(-1). Let h = -41 - -77. Let t = 60 - h. Calculate the highest common divisor of w and t.", "a": "8" }, { "q": "Suppose 4*z + 2*o - 5718 = 0, 7*z - 4*z + 2*o - 4290 = 0. What is the greatest common factor of 136 and z?", "a": "68" }, { "q": "Let m be 7/5 - 13/(65/2). Let z = 6 + -2. Let w be (43 + -4)*z - (m - 0). What is the greatest common factor of w and 62?", "a": "31" }, { "q": "Let j = -170 - -175. Suppose -5*i - 5 - 5 = 0, 3*r - 5*i = 16. Suppose -15 = -3*f - r*u + 41, -2*u - 72 = -j*f. What is the highest common divisor of 40 and f?", "a": "8" }, { "q": "Let v be (-266)/(-18) + (-4)/(-18). Let j(s) = 2*s**2 + 6*s - 588. Let l be j(16). Calculate the greatest common factor of v and l.", "a": "5" }, { "q": "Let m be 0/2 - 5 - -4. Let i be (6 + -4)/m + 38 + 0. Suppose -1 + i = 5*o. Calculate the greatest common factor of o and 42.", "a": "7" }, { "q": "Suppose 0 = 4*d + 4*h + 76, -2*h + 6 = -4*h. Let i = 21 + d. Suppose 0 = i*m - 10*m + 805. What is the highest common factor of 23 and m?", "a": "23" }, { "q": "Let i be ((-1386)/(-88))/((-3)/(-8)). Suppose 0 = 9*p - 158 - 787. Calculate the greatest common divisor of i and p.", "a": "21" }, { "q": "Let d be 14/4 - 1/2. Suppose -d*i = i - 68. Let w = -103119 - -103170. Calculate the greatest common divisor of w and i.", "a": "17" }, { "q": "Let y be 2 - 5 - (4 - 3). Let l be (11/2)/(y/(-64)). Suppose -5*b = -f - 43, 0*b + 2*f + 14 = b. Calculate the highest common divisor of l and b.", "a": "8" }, { "q": "Let q be ((-68)/(-17) - 12)/(4/(-842) - 0). Calculate the greatest common divisor of 4 and q.", "a": "4" }, { "q": "Let h(i) be the first derivative of -i**3/3 - 3*i**2/2 + 7*i - 2. Let k be h(-4). Suppose 5*t - 14 = k*t. Calculate the greatest common factor of t and 49.", "a": "7" }, { "q": "Suppose 4*k = 4*n - 1296, 6*n - 20 = n. Let m be (64/(-12))/(-2 - k/156). Let z = m + 219. Calculate the greatest common factor of 23 and z.", "a": "23" }, { "q": "Let u be (-2)/(-9) - -626*6/108. Suppose b + 13 = 2*b. Suppose -c - b = -u. What is the greatest common factor of c and 176?", "a": "22" }, { "q": "Let l(c) = 4*c - 2. Let t be l(2). Let z be t/4*20/15. Suppose -z*r - 3*r = -5*h - 5, 4*r - 8 = 0. Calculate the highest common factor of 1 and h.", "a": "1" }, { "q": "Let b be (11/(-2))/((-1)/2*1). Suppose 0 = b*d - 7*d - 240. Let n be 2/(1 + d/(-68)). What is the highest common divisor of n and 68?", "a": "17" }, { "q": "Let r = -3008 + 3044. Calculate the greatest common factor of 1824 and r.", "a": "12" }, { "q": "Let d(q) = 32*q + 211. Let z(g) = 16*g + 106. Let m(j) = -4*d(j) + 7*z(j). Let c be m(-7). What is the highest common factor of 10 and c?", "a": "10" }, { "q": "Suppose 0*q - 2*q + 24 = 0. Let u = 0 - -41. Suppose 281 = 5*i + u. What is the greatest common factor of q and i?", "a": "12" }, { "q": "Let i = -7 + 15. Let d = -122 - -126. Suppose -d*k + 84 = -0*k - 3*m, -k - 5*m = -44. What is the greatest common divisor of k and i?", "a": "8" }, { "q": "Let m(d) = -d**2 - d + 1. Let z(v) = v**3 - 8*v**2 + 5*v - 8. Let b(s) = 4*m(s) + z(s). Let t be b(12). What is the highest common factor of t and 8?", "a": "8" }, { "q": "Suppose -130*y = -12749 + 1829. Suppose -33 = -2*p - 9. What is the highest common factor of y and p?", "a": "12" }, { "q": "Let i be (-14 - (-7 - -3))*6/4. Let f(p) = p**3 + 16*p**2 + 8*p + 11. Let k be f(i). Calculate the highest common factor of k and 58.", "a": "58" }, { "q": "Suppose 0 = 3*h - 6*h + 3*q + 3117, 5*h = -3*q + 5235. Suppose -h = -5*m - 2*v, -v = -5*m + 612 + 426. What is the greatest common divisor of m and 26?", "a": "26" }, { "q": "Let l be 132/(-110)*5/(-2). Suppose -k = -0*q + q, -l*q - 2*k = -4. Let n(c) = c + 1. Let y be n(3). Calculate the highest common divisor of y and q.", "a": "4" }, { "q": "Suppose 5*k - 566 = 2*t, 5*k - t - 130 = 433. Calculate the highest common divisor of 476 and k.", "a": "28" }, { "q": "Suppose 20*u + 50 = 25*u. Let x(k) = k**2 - 10*k - 3. Let h be x(u). Let v be (-4 - -6) + 1*h + 113. Calculate the highest common factor of v and 28.", "a": "28" }, { "q": "Let j = 190 + -185. Suppose 0 = j*n - 59 - 76. What is the highest common divisor of 27 and n?", "a": "27" }, { "q": "Suppose 9*k + 5 = 10*k. Suppose -k*m = -0*m - 5260. Let t be m/22 - (-8)/44. What is the greatest common divisor of 12 and t?", "a": "12" }, { "q": "Let a(v) = 4*v**2 + 6*v - 1. Let f be a(-8). Suppose -2*x = 2*g - 274, 5*g - 378 = -2*x - 107. Calculate the greatest common divisor of f and x.", "a": "69" }, { "q": "Suppose -575 = -5*f + 4*f - 2*w, -3*f + 1725 = 5*w. What is the greatest common divisor of f and 125?", "a": "25" }, { "q": "Suppose 7*p = -p + 64. Let y be 8/2 + (-17)/(153/(-180)). Calculate the highest common factor of p and y.", "a": "8" }, { "q": "Let i be 3*((-1040)/(-12))/2. Suppose 7*c - 9*c + i = 0. Let q be 26 + (0/(-5))/1. Calculate the highest common divisor of c and q.", "a": "13" }, { "q": "Let k(u) = 9*u - 4. Let f = -40 - -45. Let t be k(f). Let b(p) = 2*p**2 + 12*p - 5. Let h be b(-17). What is the highest common factor of h and t?", "a": "41" }, { "q": "Let r(a) = -48*a - 41*a + 88*a. Let v be r(-8). What is the greatest common factor of 56 and v?", "a": "8" }, { "q": "Suppose -10 = -u + 4*a + 11, 3*a = 2*u - 42. Let z = 2874 + -2853. What is the greatest common factor of z and u?", "a": "21" }, { "q": "Let d = 3357 + -3338. What is the greatest common divisor of 4313 and d?", "a": "19" }, { "q": "Let d(t) = -46*t + 14. Let u be d(5). Let f = u - -384. Suppose -3*a = 2*a - 105. What is the highest common divisor of a and f?", "a": "21" }, { "q": "Let r = 891 + -591. Calculate the highest common divisor of 1650 and r.", "a": "150" }, { "q": "Let u(y) = y. Let q be u(5). Suppose 15 = q*j - 2*j. Let o = -51977 + 51982. What is the highest common factor of j and o?", "a": "5" }, { "q": "Let o be (-24 + (-5)/((-5)/6))/(9/(-2262)). Calculate the greatest common factor of 156 and o.", "a": "156" }, { "q": "Suppose 4*g - 3 = 9. Let l be 26/g + 7 + (-23)/3. Calculate the greatest common factor of 120 and l.", "a": "8" }, { "q": "Let w(c) = 17*c - 5. Let m be w(-2). Let j be (-28 + 4)*(-3 + m/12). Calculate the highest common divisor of 50 and j.", "a": "50" }, { "q": "Let c = 15 - 6. Let w(h) = h**2 + 6*h - 15. Let n be w(10). Suppose 3*t = 2*b - 153, -5*b - 3*t + n = -269. What is the greatest common divisor of c and b?", "a": "9" }, { "q": "Let b = -691 + 694. Let n be (9/(-4))/(1/(-52)). Suppose n = b*i - 45. Calculate the highest common divisor of 36 and i.", "a": "18" }, { "q": "Let s be (-7)/(7/(-166)) + 2/(-1). Let h = s + -152. Calculate the greatest common divisor of 28 and h.", "a": "4" }, { "q": "Let f(g) = 4*g**2 + 26*g - 170. Let d be f(5). What is the greatest common factor of 15 and d?", "a": "15" }, { "q": "Suppose 17*j - 5*b - 2235 = 12*j, -5*j + 2229 = -3*b. Let g(p) = 3*p**2 + p + 2. Let l be g(-2). Calculate the greatest common factor of l and j.", "a": "12" }, { "q": "Let b be (-3)/(12/(-32))*(-1)/2. Let w(m) = m**3 + 5*m**2 - 6*m - 10. Let d be w(b). Let y = d - -6. What is the greatest common divisor of 288 and y?", "a": "36" }, { "q": "Let i(j) = j**3 - 2*j + 142. Let l be i(0). Let v = 154 - l. Calculate the greatest common divisor of 42 and v.", "a": "6" }, { "q": "Suppose -337 = -5*n + 4*m, 2*n - m - 901 = -768. What is the highest common divisor of 91 and n?", "a": "13" }, { "q": "Let b = 13513 + -13509. Let r(i) = -9*i + 1. Let l be r(-1). Calculate the highest common factor of l and b.", "a": "2" }, { "q": "Suppose 2*s + 3*s + 2*d = 126, 5*d = 4*s - 81. Suppose -4*c - 7 = -19. Suppose c*z = z + s. What is the greatest common factor of 132 and z?", "a": "12" }, { "q": "Suppose -x - 94 = 165. Let z be 1480/x*14/(-4). What is the highest common factor of 50 and z?", "a": "10" }, { "q": "Suppose -4*s + 4 = -4*u, -2*s = u - s + 3. Let j be u/8 - (-15)/(-20). Let b be 15/(-2)*(j + 0)*2. What is the greatest common factor of b and 45?", "a": "15" }, { "q": "Let h(x) = 11*x - 106. Let z be h(12). Let r be 18*(3 - 12/(-9)). Suppose s = -2*s + r. What is the highest common factor of s and z?", "a": "26" }, { "q": "Let h = -124 - -127. Suppose 6*q = h*q - 2*n + 52, 4*q - n - 51 = 0. Calculate the greatest common divisor of 91 and q.", "a": "7" }, { "q": "Let v(x) = 3*x**2 - 46*x - 218. Let d be v(20). What is the greatest common factor of d and 3131?", "a": "31" }, { "q": "Suppose 2*b = -3*z - 178, 0*z - 4*z + b = 241. Let t be 4/(-14) + 7016/56. Let l = z + t. What is the highest common factor of l and 26?", "a": "13" }, { "q": "Let k(o) = -7*o - 28. Let w be k(-4). Suppose 2*u - 4 = w, 4*u + 132 = 5*z - 0*u. What is the greatest common factor of 12 and z?", "a": "4" }, { "q": "Let k = -59 + 65. Let h(u) = 8*u - 12. Let g be h(k). Calculate the greatest common divisor of 54 and g.", "a": "18" }, { "q": "Suppose 33*j = 38*j - 40 - 40. What is the highest common divisor of j and 152?", "a": "8" }, { "q": "Suppose -133*k + 513 = -124*k. What is the highest common factor of k and 5?", "a": "1" }, { "q": "Let w be 20150/234 - 60/54. Calculate the highest common factor of 145 and w.", "a": "5" }, { "q": "Suppose 3*u + 43 = 2*h + 4*u, 0 = -4*h + 4*u + 68. Suppose 27 = 2*t - 3*l, 46 = 5*t + 5*l - 34. What is the greatest common factor of t and h?", "a": "5" }, { "q": "Let b(a) = -104*a + 1126. Let o be b(10). What is the greatest common factor of 12 and o?", "a": "2" }, { "q": "Suppose 14*b - 316 - 4544 = -22*b. Calculate the highest common divisor of b and 4185.", "a": "135" }, { "q": "Suppose -p + 27 = -y, 0 = 6*p - 5*p - 5*y - 31. Suppose 4*t - 74 = -p. What is the greatest common factor of t and 32?", "a": "4" }, { "q": "Let u be (-3 - 177/(-3)) + 0. Let j be (-320)/(-60)*(-6)/(-4). What is the highest common factor of j and u?", "a": "8" }, { "q": "Suppose 4*f = -4*r - 0*r + 80, 4*r + f - 68 = 0. Let t be (6/4)/(6/r). Suppose -3*y + 98 = t*y. Calculate the highest common factor of 140 and y.", "a": "14" }, { "q": "Let f(u) = 2*u**2 + 90*u + 16. Let n be f(0). Calculate the greatest common factor of n and 38.", "a": "2" }, { "q": "Let f = -36 - -40. Suppose 436 = f*x + 16. Let o = 62 + -47. Calculate the highest common factor of o and x.", "a": "15" }, { "q": "Suppose 40*d - 47*d = -819. Let k = -87 + d. Calculate the highest common divisor of k and 15.", "a": "15" }, { "q": "Let w(y) = 6*y - 97. Let p be w(18). Suppose -2*q - 5 = -p. What is the highest common factor of q and 12?", "a": "3" }, { "q": "Suppose -19 = -z + 16 - 23. What is the greatest common divisor of z and 138?", "a": "6" }, { "q": "Let t(q) be the second derivative of q**5/20 + 2*q**4/3 + 5*q**3/2 + 3*q**2 - 47*q. Let b be t(-5). What is the greatest common factor of b and 102?", "a": "6" }, { "q": "Let i(l) = -70*l. Let q be i(-2). Let z(w) = -48*w - 658. Let v be z(-14). What is the greatest common factor of v and q?", "a": "14" }, { "q": "Suppose 0 = k - 29 - 583. Let x = k + -387. Calculate the greatest common factor of x and 15.", "a": "15" }, { "q": "Let k = 7 - 0. Let r be (-25)/(-3) - (k + -1)/18. Suppose -r = q - 2*q. Calculate the greatest common divisor of 1 and q.", "a": "1" }, { "q": "Let l = 209 - 207. Suppose y + 4*t = 77, 0*t + 271 = 3*y + l*t. Calculate the highest common divisor of y and 124.", "a": "31" }, { "q": "Suppose 3*b + 0*b = 108. Let q = 149 + -113. Calculate the greatest common factor of q and b.", "a": "36" }, { "q": "Suppose -4*v - 2*k + 266 = -56, 5*k - 238 = -3*v. Let n = 4769 + -4661. What is the greatest common divisor of v and n?", "a": "27" }, { "q": "Let v = -1 + 1. Let f(u) = u**3 + 2*u**2 + 6*u + 9. Let m be f(-2). Let a be -12*((-6)/(-4))/(v + m). What is the highest common factor of 1 and a?", "a": "1" }, { "q": "Let j(q) = 2*q - 1. Suppose 2*r + w = -0*r + 9, r = -2*w + 6. Let v be j(r). Let n = 79 - 78. Calculate the highest common divisor of v and n.", "a": "1" }, { "q": "Let t = -153 + 1163. Suppose 4*s = t + 2. What is the highest common factor of s and 23?", "a": "23" }, { "q": "Let s be (-77 + -1)*(-23)/46. Let z(o) = 3*o**2 + o + 1 - 6*o + 10*o**2. Let v be z(-5). Calculate the highest common factor of s and v.", "a": "39" }, { "q": "Let h(m) = -m - 1. Let i be h(-3). Let a(r) = 3*r**2 - r - r + 6*r - r**3 - 2*r - i. Let y be a(3). What is the greatest common factor of 2 and y?", "a": "2" }, { "q": "Let y(g) = -g**2 - 9*g - 13. Let c be y(-3). Suppose -3*t + 15 = -2*i - 2*i, -3*t + c*i = -12. Calculate the highest common factor of t and 21.", "a": "3" }, { "q": "Suppose 23*v - 37256 = -20*v + 6604. What is the highest common factor of v and 48?", "a": "12" }, { "q": "Let w be 0*(52/16 + -3). Suppose w = -v - v + 88. Suppose -v*k = -46*k + 2. What is the highest common divisor of k and 11?", "a": "1" }, { "q": "Suppose 2*u - 24 = 5*n + 5, -u = -4*n - 19. Suppose -204 = -4*t - 220, 2*z - 134 = -5*t. Calculate the greatest common divisor of z and u.", "a": "7" }, { "q": "Let s be 652/(-1141) - 228/(-7). Calculate the highest common factor of s and 58.", "a": "2" }, { "q": "Let m(f) = 2*f**2 - 46*f + 504. Let l be m(16). What is the highest common factor of l and 120?", "a": "40" }, { "q": "Let m(o) = -19*o + 92. Let y be m(-5). Suppose 4 = -4*z, 3*x + 0*z = -2*z + y. What is the highest common factor of x and 14?", "a": "7" }, { "q": "Suppose -5*i + 35 = 5. Let n be (i - -13)*14/2. Suppose 20 = 4*m + 3*z - 47, -64 = -4*m - 4*z. What is the highest common divisor of m and n?", "a": "19" }, { "q": "Let u be 31 + ((-11)/33)/((-2)/6). Let z(s) = s**2 - 3. Let l be z(-3). Suppose l*w = 125 + 643. What is the highest common factor of w and u?", "a": "32" }, { "q": "Let p = 114 - 202. Let h = p - -91. Let n(b) = -b**2 - 9*b - 6. Let j be n(-6). What is the greatest common factor of j and h?", "a": "3" }, { "q": "Suppose -138*o + 2273 = -79*o - 12182. Calculate the highest common divisor of o and 637.", "a": "49" }, { "q": "Let u = -594 - -842. Let i = -233 + u. Calculate the greatest common factor of 135 and i.", "a": "15" }, { "q": "Suppose -20*c = 71 + 549. Let j(n) = n**3 - 4*n**2 + 4*n - 7. Let g be j(5). Let y = g + c. Calculate the highest common factor of 7 and y.", "a": "7" }, { "q": "Let y = 469 - 314. Let t be ((-1)/2)/((-31)/3658) + 3. What is the highest common factor of y and t?", "a": "31" }, { "q": "Let a(b) = 166*b - 1130. Let v be a(20). What is the highest common divisor of 60 and v?", "a": "30" }, { "q": "Let q(n) = n**3 + 16*n**2 - 5*n + 4. Let b be q(-16). Calculate the greatest common divisor of 210 and b.", "a": "42" }, { "q": "Suppose -x + 5*k + 25 = x, -5*k = -4*x + 55. Let s = -60388 - -60463. What is the greatest common divisor of s and x?", "a": "15" }, { "q": "Suppose -4*g + 10*p = 6*p - 4796, 0 = -g + 5*p + 1207. Suppose -2*y - z + 481 = 0, 5*y - z - 2*z = g. What is the highest common factor of 15 and y?", "a": "15" }, { "q": "Let j(r) be the first derivative of r**3/3 + 15*r**2/2 + 64*r - 48. Let b be j(-7). Calculate the highest common divisor of b and 20.", "a": "4" }, { "q": "Suppose -s + 147 = -5*g, 0 = -2*s + g - 32 + 353. Suppose -6*p + s + 36 = 0. Let z be 2/(-11) + (1359/p - 1). Calculate the greatest common divisor of 60 and z.", "a": "20" }, { "q": "Suppose -22*i + 190 = 9*i - 21*i. What is the greatest common factor of 1843 and i?", "a": "19" }, { "q": "Let f be 3 + (-3)/((-9)/6). Suppose 2*v + f*o + 60 = -4, -v - 3*o = 31. Let q = 39 + v. Calculate the greatest common factor of q and 1.", "a": "1" }, { "q": "Let x = -3259 + 3613. Calculate the highest common divisor of x and 472.", "a": "118" }, { "q": "Let t(u) = -u**2 + 44*u + 990. Let s be t(50). Calculate the highest common factor of 552 and s.", "a": "138" }, { "q": "Let c(u) = 83*u + 90. Let i be c(18). Suppose 0 = 51*l - 60*l + i. What is the greatest common factor of l and 16?", "a": "16" }, { "q": "Let v be 12/10*20/6. Suppose 66 - 177 = -v*r - 3*y, 4*y - 20 = 0. What is the highest common factor of 112 and r?", "a": "8" }, { "q": "Let v = -8 - -48. Suppose r + 5 = 0, 7*s = 2*s - 2*r + v. Suppose 697 = 7*w - 73. What is the greatest common factor of s and w?", "a": "10" }, { "q": "Suppose -2*v - 71 = 5*p, 6*v - 2*p = 2*v - 154. Let f = v - -41. Let d be -4 + 4/f*48. Calculate the greatest common divisor of d and 30.", "a": "30" }, { "q": "Let x = -1307 + 2113. What is the greatest common divisor of x and 186?", "a": "62" }, { "q": "Suppose 21*h + 1008 = 42*h. Let c(x) = 19*x**2 - x - 2. Let v be c(2). What is the greatest common divisor of h and v?", "a": "24" }, { "q": "Let l be (-1278)/(-8) + 2/8. Let a = 353 + -129. Let o = 244 - a. What is the greatest common divisor of l and o?", "a": "20" }, { "q": "Let y be (-317)/(-7) - (-14)/(-49). Let c(l) = -632*l + 20 - 5 + 617*l - l**2. Let g be c(-15). Calculate the greatest common divisor of g and y.", "a": "15" }, { "q": "Let s(n) = 5*n - 2*n**3 - 8 + 5*n**3 - 2*n**2 + 5*n**3 + n**3. Let j be s(2). Calculate the highest common divisor of 6 and j.", "a": "6" }, { "q": "Let a = 1101 + -1092. Let y(t) = t**2 + 8*t - 7. Let k be y(-9). Suppose -34 = -c - 5*b, 4*c - k*b + b - 220 = 0. What is the highest common factor of a and c?", "a": "9" }, { "q": "Let y be -2*1/(-2)*-100. Let h be 30/255 - y/17. Calculate the greatest common factor of 138 and h.", "a": "6" }, { "q": "Suppose 4*z + 1924 = 4848. Calculate the greatest common factor of z and 51.", "a": "17" }, { "q": "Let r(i) = 87*i + 1920. Let j be r(-22). What is the greatest common divisor of j and 18?", "a": "6" }, { "q": "Suppose -5*k = -5*u + 3834 + 21056, 2*k = -u + 4969. What is the highest common divisor of 25 and u?", "a": "25" }, { "q": "Suppose 0 = -70*h + 37292 - 13772. Calculate the greatest common divisor of 272 and h.", "a": "16" }, { "q": "Let r be (30/(-8))/(2/80). Let s = 201 + r. What is the highest common divisor of s and 204?", "a": "51" }, { "q": "Let h be (2 + -4)*2 + 8. Suppose -h*q = -3*n - 13, 0 = -0*q + 5*q - n - 30. Calculate the highest common factor of 1 and q.", "a": "1" }, { "q": "Let q(f) = f**2 - 2*f - 3. Let b be q(-3). Suppose -o - 36 = 3*o. Let p = o + b. Calculate the highest common factor of 24 and p.", "a": "3" }, { "q": "Let z be 3/(-1) + 3 - (-30)/2. Suppose 6*x - 3*x - z = 0. Suppose -6*l + 3*l - a + 149 = 0, -x*l + 250 = 2*a. What is the highest common divisor of 6 and l?", "a": "6" }, { "q": "Suppose 0*o - 18525 = -15*o. Suppose 9*n + 10*n = o. What is the greatest common factor of n and 26?", "a": "13" }, { "q": "Suppose -3*k + 2618 = 4*k - 441. Calculate the greatest common divisor of k and 23.", "a": "23" }, { "q": "Let f be (6 - 9)*6/(-2). Let c be -21*((-30)/f - -3). Suppose 4*t - k - 268 = -5*k, k = -3*t + 193. Calculate the greatest common divisor of t and c.", "a": "7" }, { "q": "Let m be (8/16)/(4/40). Suppose -4*c = -2*w - m*c + 5, 29 = 5*w - 3*c. Calculate the greatest common factor of 4 and w.", "a": "4" }, { "q": "Let g be 86926/322 - -40 - (-2)/46. Suppose -2*w - 37 = -161. Calculate the highest common divisor of w and g.", "a": "62" }, { "q": "Let f be -7 - 301/(-42) - 146/12. Let k(t) = t**2 + 7*t + 42. Let q be k(f). Calculate the greatest common factor of q and 34.", "a": "34" }, { "q": "Suppose 0 = -2*b + 6, -3*g = 5*b + 12 - 39. What is the highest common divisor of 228 and g?", "a": "4" }, { "q": "Suppose -l = -0*y - 3*y + 6, -4*l + 27 = 5*y. Let o = y - 1. Let q(u) = 2*u**2 - 7*u + 18. Let r be q(2). What is the greatest common factor of o and r?", "a": "2" }, { "q": "Let w = -56 + 33. Let a = -23 - w. Suppose -2*d = -5*h - 496, -5*d - h - 333 + 1519 = a. Calculate the greatest common factor of 34 and d.", "a": "34" }, { "q": "Let x(n) = n**3 - 6*n**2 + 16. Let p be x(8). Let b = p + -126. What is the greatest common divisor of b and 99?", "a": "9" }, { "q": "Suppose -8 = 4*c, 8*p - 7*p - 2*c = 13. What is the greatest common factor of p and 333?", "a": "9" }, { "q": "Let a = -12 + 20. Suppose 12 = r - 0*r + 4*v, 2*r - 36 = -5*v. Let w be (72/(-14))/1*r/(-6). Calculate the greatest common divisor of w and a.", "a": "8" }, { "q": "Let m = -3401 + 4011. Calculate the greatest common divisor of 20 and m.", "a": "10" }, { "q": "Let u = 22 + -30. Let h = -3 - u. Let s be 3 + (-935)/(-25) + 3/h. Calculate the greatest common factor of 123 and s.", "a": "41" }, { "q": "Suppose g - 6*g = -5*t - 8695, 0 = -2*t - 6. What is the greatest common divisor of g and 620?", "a": "124" }, { "q": "Suppose r + p = 42 + 12, 2*r + p = 110. Let o(y) = 7*y**2 - 36*y + 7. Let c be o(0). Calculate the greatest common factor of c and r.", "a": "7" }, { "q": "Let k = -3806 + 3831. What is the greatest common factor of 1 and k?", "a": "1" }, { "q": "Suppose -3*f = 5*s - 2, 16 = -f - 3*f - 2*s. Suppose 1030*d = 994*d + 972. Let u be -2*112/(-36) + f/d. Calculate the greatest common factor of 15 and u.", "a": "3" }, { "q": "Let w(t) = 2*t**2 - 46*t + 122. Let k be w(24). What is the highest common factor of k and 270?", "a": "10" }, { "q": "Let k = 1370 + -1357. Calculate the highest common factor of k and 3328.", "a": "13" }, { "q": "Let k be 12/15*(-1800)/(-80). Let g be 6/((-9)/(81/(-6))). Calculate the greatest common factor of k and g.", "a": "9" }, { "q": "Suppose -2*l = 2*c - 9188, 0 = 8*l + 4*c - 9*c - 36817. Calculate the highest common factor of 63 and l.", "a": "63" }, { "q": "Let z = -19 - -28. Suppose 0 = -12*r + 15*r - z. Suppose 2*f + 4*v - 254 = -0*v, -r*f + 348 = -5*v. Calculate the greatest common factor of f and 11.", "a": "11" }, { "q": "Let n be 1/(-1) + (-3)/(-1). Suppose -r - n*r + 84 = -3*c, -2*r - c = -62. Suppose -2*l + 7*l = r. Calculate the highest common factor of l and 6.", "a": "6" }, { "q": "Let c(z) be the first derivative of 7*z**3 - z**2 - 4*z - 72. Let l be c(-2). Calculate the greatest common divisor of 210 and l.", "a": "42" }, { "q": "Let s = 122 + -105. Let j = -15 + 12. Let b be j/(-3)*2 + 49. What is the greatest common divisor of s and b?", "a": "17" }, { "q": "Let n be -85*((-7)/5 - -1). Let f = -6996 + 7370. What is the highest common divisor of n and f?", "a": "34" }, { "q": "Let t(p) = 14*p**2 + 11*p + 2. Let x be t(-2). What is the greatest common factor of 3996 and x?", "a": "36" }, { "q": "Let m(i) = -i**3 + 21*i**2 - 39*i + 72. Let w be m(19). Let j = 262 + -156. What is the highest common factor of j and w?", "a": "53" }, { "q": "Let c(p) = 25*p**2 - 46*p - 351. Let m be c(-7). What is the greatest common factor of 460 and m?", "a": "92" }, { "q": "Suppose r = 12*r - 8*r - 330. Calculate the greatest common factor of r and 100.", "a": "10" }, { "q": "Suppose -283*f + 279*f = -2452. Let j = f - 404. What is the greatest common divisor of j and 22?", "a": "11" }, { "q": "Let p = 151 + -262. Let f = -87 - p. What is the greatest common divisor of f and 24?", "a": "24" }, { "q": "Suppose 5*k = 0, 3*w - 7*w + 2*k + 56 = 0. Suppose 0 = 5*f - 2*v - 1034 + 853, f + 5*v - 20 = 0. What is the greatest common factor of w and f?", "a": "7" }, { "q": "Suppose -5*o + 3313 + 527 = 5*x, 5*o = -4*x + 3070. What is the highest common divisor of x and 14?", "a": "14" }, { "q": "Let z be 73 - -5 - 4/4. Suppose -b = b + 32. Let a be (-51)/(-7) + b/56. What is the greatest common factor of z and a?", "a": "7" }, { "q": "Let t be (139 + -13)/(1/6*2). What is the greatest common divisor of t and 28?", "a": "14" }, { "q": "Let w be 3/4 - 3/(-12). Let y be w/(-2)*(1 + -2 + 7). Let h be 8 + -1 + y*(-3)/9. What is the highest common divisor of h and 8?", "a": "8" }, { "q": "Let g = 984 + -977. Calculate the highest common divisor of 112 and g.", "a": "7" }, { "q": "Let d be (8/10)/((-18)/180) - -1823. What is the greatest common divisor of 165 and d?", "a": "165" }, { "q": "Let r(b) = -b**3 - b**2 + 3*b - 11. Let x be r(-4). Suppose x*v - 14*v - 253 = 0. Calculate the greatest common factor of 115 and v.", "a": "23" }, { "q": "Suppose -7080 + 22983 = 24*m - 63345. What is the greatest common factor of 13 and m?", "a": "13" }, { "q": "Let t = -1 + 2. Let o be ((-3)/2 + 54/12)/t. Suppose -4*r - 4*f = -o*f - 17, 3*f = -9. What is the greatest common factor of 55 and r?", "a": "5" }, { "q": "Let r be (-9)/12 - (273/(-12))/1. Suppose 0 = -r*d + 19*d + 57. Let h be (19 - 0)*2/2. What is the highest common divisor of d and h?", "a": "19" }, { "q": "Let l be ((-32)/18)/(-8*18/1296). What is the highest common factor of l and 44?", "a": "4" }, { "q": "Let b(k) be the first derivative of 13*k**2 + 39*k - 5. Let q be b(16). Let j = -191 + q. Calculate the greatest common factor of 24 and j.", "a": "24" }, { "q": "Let d be (-7*28/(-245))/(2405/1200 + -2). Let z = -26 + 38. What is the highest common divisor of d and z?", "a": "12" }, { "q": "Suppose -3*j - 5*m + 4 = 0, -j + 4 = -2*j - 3*m. Let f(q) = -138*q - 140*q + 16 + q**2 + 283*q. Let x be f(-5). What is the greatest common divisor of x and j?", "a": "8" }, { "q": "Let w be ((3/(-30))/((-1)/(-24)))/((-180)/600). Calculate the greatest common divisor of 2216 and w.", "a": "8" }, { "q": "Let j = 272 - 96. Suppose -191 + 47 = -18*i. Calculate the greatest common divisor of j and i.", "a": "8" }, { "q": "Suppose 181 = 4*w + p, -p - 2*p - 117 = -3*w. Let y be (w/5)/((-4)/(-130)). Let a = 34204 - 34178. Calculate the greatest common divisor of a and y.", "a": "26" }, { "q": "Let o be 8*(-2 + 1 - -4). Suppose 0 = -4*w - 5*p + 14 + 18, -4*w = -5*p + 8. Suppose -w*c - o + 78 = 0. Calculate the greatest common divisor of c and 180.", "a": "18" }, { "q": "Let m(z) = z - 6. Let t be m(16). Let v be 380/(-3)*129/(-86). What is the greatest common factor of v and t?", "a": "10" }, { "q": "Suppose -4*o + 11 = -9, -4*h - o + 1297 = 0. Suppose -5*m + 21 = -4*m + 2*w, 2*w - 2 = 0. Calculate the greatest common factor of m and h.", "a": "19" }, { "q": "Let b = -43 - -53. Suppose -b*q + 209 = -291. Let u = -47 + q. Calculate the highest common divisor of u and 21.", "a": "3" }, { "q": "Let v = 4799 + -4358. What is the highest common factor of 63 and v?", "a": "63" }, { "q": "Let c be (-219 + -6)*3/(36/(-4)). Let o be c/11 - ((-6)/(-11))/(-3). Calculate the highest common divisor of 21 and o.", "a": "7" }, { "q": "Suppose -6670 = -72*b + 274 + 7456. What is the highest common factor of 176 and b?", "a": "8" }, { "q": "Suppose -11*s - 325 = -83. Let o = 67 + s. Calculate the greatest common divisor of o and 36.", "a": "9" }, { "q": "Let c be (-8)/(-4) + -2 + (0 - 0). Suppose h - q = 4*q + 228, c = 5*h - 2*q - 1048. What is the greatest common factor of 16 and h?", "a": "16" }, { "q": "Let q = -191 + 276. Suppose -60*t = -53*t + 210. Let i = t + q. Calculate the highest common divisor of i and 22.", "a": "11" }, { "q": "Let k = 7711 + -7706. Suppose -2*p + 2*v - 73 = 3*p, 3*v = -4*p - 40. Let q = -3 - p. Calculate the highest common divisor of q and k.", "a": "5" }, { "q": "Suppose -4*h = 3*z + 33, -4*h = -3*z - 0*z + 63. Let o be (h/8 + 2)*30. Let m be -5 + 3/((-12)/(-440)). What is the highest common factor of o and m?", "a": "15" }, { "q": "Let g be 10/(-110)*-11 - (-397 - 4). Calculate the highest common factor of g and 2.", "a": "2" }, { "q": "Let n = -3361 + 3367. Calculate the greatest common factor of 351 and n.", "a": "3" }, { "q": "Let z = 2989 - 1432. Calculate the highest common divisor of z and 9.", "a": "9" }, { "q": "Let s be (18704/10)/((136/(-204))/((-20)/6)). What is the greatest common divisor of s and 56?", "a": "56" }, { "q": "Suppose -5*l + 53*z - 56*z + 2 = 0, -5*z = -4*l + 9. Calculate the highest common factor of l and 49.", "a": "1" }, { "q": "Suppose -331 = 91*f - 302 - 5216. What is the greatest common divisor of f and 57?", "a": "57" }, { "q": "Suppose 25*t = 3*m + 29*t - 6, 3*t + 9 = 0. Suppose 0*q + 1710 = m*q. Calculate the highest common factor of q and 15.", "a": "15" }, { "q": "Let q = 758 - 55. Calculate the greatest common divisor of q and 133.", "a": "19" }, { "q": "Suppose 2*c = 3*v + 220, 3*c + 4*v - 374 + 44 = 0. Let f be ((352/(-66))/8)/(3/(-297)). Calculate the greatest common divisor of c and f.", "a": "22" }, { "q": "Let s be 2/(-4)*(-7 - 3). Suppose 0 = -5*b - 4*q + 65, -s*b - 2*q = -86 + 11. What is the greatest common factor of 17 and b?", "a": "17" }, { "q": "Let t be ((-12)/(-9))/((-2)/(-6)). Suppose 2*c + f = 159, 5*c - 5*f - 107 = t*c. Let b = c + 105. Calculate the greatest common factor of b and 17.", "a": "17" }, { "q": "Let v(s) = -10*s + 57. Let t be v(7). Let l(a) = -a**3 - 12*a**2 + 9*a - 7. Let b be l(t). What is the highest common divisor of b and 405?", "a": "45" }, { "q": "Suppose -4*u + 4 = -4*s, -1 + 18 = -3*u - 2*s. Let b be (-2)/(3/u + 3). Let g = 3 - b. What is the greatest common factor of 4 and g?", "a": "4" }, { "q": "Suppose 0 = 4*h - 45 - 27. Let k be -33 + 32 - 2/(2/41). Let t be 7 - (k/18 + (-2)/(-6)). What is the highest common factor of t and h?", "a": "9" }, { "q": "Let p = -187 + 193. Let d be -1 - (-4 + (-30)/p). Let j be ((-24)/9)/(1/(-6)). Calculate the greatest common divisor of j and d.", "a": "8" }, { "q": "Let q(o) = -o**3 - 21*o**2 - 21*o + 25. Let y be q(-20). What is the greatest common factor of 2745 and y?", "a": "45" }, { "q": "Let z = 7 - 5. Let c be (-3 - 2) + (5 - -2 - 0). Suppose -z*k = c*k - 12. Calculate the highest common divisor of k and 33.", "a": "3" }, { "q": "Let t(c) = -c**3 + 11*c**2 - c + 6. Suppose -f + 5 = -2*w, 5*w = -2*f + f + 5. Let p be t(f). Let r = -34 + p. What is the highest common divisor of r and 78?", "a": "39" }, { "q": "Suppose 4*q + 2*z - 68 = 0, 3*q = -0*z + 3*z + 69. Calculate the greatest common factor of q and 13.", "a": "1" }, { "q": "Let o be (-6 - -3)*(-10028)/69. Calculate the greatest common divisor of 109 and o.", "a": "109" }, { "q": "Let o be 66/154 + 36/14 + 5. Let f be o/2 - 3000/(-30). Let w be (-186)/(-14) - (-4)/(-14). Calculate the greatest common divisor of f and w.", "a": "13" }, { "q": "Suppose 5*d - 224 = -23*d. Suppose d*r - 10*r + 80 = 0. Calculate the highest common factor of 480 and r.", "a": "40" }, { "q": "Suppose -3*p - 2*p - 4193 = -4*b, -25 = 5*p. Let u = -613 + b. What is the greatest common factor of u and 39?", "a": "39" }, { "q": "Suppose 2*a = 6*h - 8*h + 86, 3*h = -a + 123. Suppose 9*d = 103 - h. What is the greatest common divisor of d and 91?", "a": "7" }, { "q": "Let s be (8 + -24)/(1/(-18)). Suppose 98 = -5*j + s. What is the greatest common divisor of j and 2?", "a": "2" }, { "q": "Let v(a) = a**3 - 7*a**2 - 8*a + 55. Let o be v(9). What is the highest common factor of o and 203?", "a": "29" }, { "q": "Let i = -2737 - -3295. What is the highest common divisor of 54 and i?", "a": "18" }, { "q": "Let t be 2 + (-1 - -3) + 5. Let i be 8/(t/(-2) + 5). What is the greatest common factor of i and 56?", "a": "8" }, { "q": "Let a(f) = -f**3 + 22*f**2 - 26*f + 220. Let p be a(21). Calculate the greatest common factor of p and 4715.", "a": "115" }, { "q": "Suppose 0 = -3*j + 2*w + 46, 4*j - 82 = 5*w - 23. What is the highest common divisor of j and 2768?", "a": "16" }, { "q": "Suppose 0 = -10*x + 210 - 32 + 82. What is the greatest common divisor of x and 754?", "a": "26" }, { "q": "Suppose -429 = -5*j + 446. Let n(b) = 14*b + 13. Let u be n(7). Suppose 5*t = 14 + u. Calculate the greatest common factor of t and j.", "a": "25" }, { "q": "Suppose -22*b + 26*b - 3 = -3*v, 2*b - v = -1. Suppose b = -6*w + 280 + 1514. What is the highest common factor of w and 23?", "a": "23" }, { "q": "Suppose -5*r = -5*h + 1585, -417*r = -420*r + 9. Calculate the highest common divisor of h and 440.", "a": "40" }, { "q": "Let s = -29 - -39. Suppose -s + 1 = -3*u - 3*g, 5*u - g = 27. Suppose -u*t - 5*d + 65 = 0, 0*t = 4*t + d - 49. Calculate the greatest common divisor of t and 6.", "a": "6" }, { "q": "Let p = -169 - -241. Let y = 41 - 33. What is the greatest common divisor of y and p?", "a": "8" }, { "q": "Suppose 0 = t, -t - 51 = 3*d - 5*t. Let a = 115 + d. What is the greatest common factor of a and 49?", "a": "49" }, { "q": "Let z = 196 - 192. Suppose -14*s + 70 = z*r - 16*s, 4*s + 55 = 3*r. Calculate the greatest common divisor of 17 and r.", "a": "17" }, { "q": "Let u be 13/((-195)/(-6)) - 43/(-5). What is the highest common factor of 49 and u?", "a": "1" }, { "q": "Let m = 4473 - 4116. What is the greatest common divisor of 147 and m?", "a": "21" }, { "q": "Let h = 9 + 5. Suppose 224*t - 250*t = -1092. Calculate the greatest common factor of h and t.", "a": "14" }, { "q": "Let s(m) = 2*m**3 + 91*m**2 + 45*m + 18. Let j be s(-45). Calculate the highest common divisor of 1704 and j.", "a": "6" }, { "q": "Let b be (-1766)/8 - 13/((-364)/21). Let t = -4 - b. What is the greatest common divisor of 27 and t?", "a": "27" }, { "q": "Let k be (8 - 8 - -5) + (0 - 1). Suppose -v = -3*v + k*t + 40, 4*v + t - 71 = 0. Calculate the highest common factor of v and 288.", "a": "18" }, { "q": "Let q(b) = 4*b**2 - 13*b - 195. Let c be q(13). What is the highest common factor of 208 and c?", "a": "104" }, { "q": "Suppose 77 + 161 = 14*c. Calculate the greatest common factor of c and 3247.", "a": "17" }, { "q": "Suppose -215 = -6*m + 19. Suppose -10*t - m = -11*t. Suppose 4*c - 327 = -t. Calculate the greatest common divisor of c and 8.", "a": "8" }, { "q": "Let i = -17 + 17. Suppose i = -5*l - 4*t + 88, 0*l - 4*t = 3*l - 56. What is the greatest common factor of 168 and l?", "a": "8" }, { "q": "Suppose 11*m - 90 = 8*m - 18. What is the highest common factor of m and 984?", "a": "24" }, { "q": "Let l = 149 - 74. Let n = l + 181. What is the highest common factor of 8 and n?", "a": "8" }, { "q": "Let u = -4 - 0. Let d be (3/1)/((-76)/16 - u). Let z be (1 - 3) + 1/(d/(-52)). What is the highest common divisor of 22 and z?", "a": "11" }, { "q": "Suppose -5*x - 251 = 28*p - 32*p, -2 = -2*x. Calculate the highest common divisor of p and 1.", "a": "1" }, { "q": "Suppose 11*o + 45420 = 16*o - 5*b, o + 2*b - 9072 = 0. Calculate the greatest common factor of o and 40.", "a": "40" }, { "q": "Suppose -11 + 19 = 4*i. Let r = 53 + -52. Suppose 0 = -u + r + i. Calculate the highest common factor of 27 and u.", "a": "3" }, { "q": "Suppose 11*c + c - 156 = 0. Let u = c - 5. Calculate the highest common divisor of u and 8.", "a": "8" }, { "q": "Suppose 4*y = 2*h - 14, -8*y + 4*y - 24 = -4*h. Let j(x) = -x**3 - 3*x**2 + 14*x + 21. Let v be j(-5). Calculate the highest common factor of h and v.", "a": "1" }, { "q": "Let z = -2579 + 3314. Calculate the greatest common divisor of 120 and z.", "a": "15" }, { "q": "Let g be -6 + (-12 + 24 - 7 - 20/(-2)). Calculate the highest common divisor of g and 453.", "a": "3" }, { "q": "Let l be 5*(-6)/(-15) + 2. Let q be (2/l)/((-1)/(-10)). Suppose 0 = -q*f + 10*f - 100. What is the greatest common divisor of 30 and f?", "a": "10" }, { "q": "Let i = -71 + 223. Suppose -9*t + i = -t. Let g = 10 + t. What is the highest common factor of g and 116?", "a": "29" }, { "q": "Suppose 0*t + 4 = 2*t. Let z = -21 + 21. Suppose -t*d + 34 + 4 = z. Calculate the highest common factor of d and 209.", "a": "19" }, { "q": "Let j(a) = -a**2 + 16*a - 40. Let l be j(6). Calculate the highest common factor of 2560 and l.", "a": "20" }, { "q": "Let r(i) = 3*i**2 - 194*i - 387. Let q be r(-2). Let d = 3 - 1. What is the greatest common divisor of q and d?", "a": "1" }, { "q": "Let l be (-3 + 0)/(-3) + 16. Let f = -265 - -267. Calculate the highest common divisor of f and l.", "a": "1" }, { "q": "Suppose 3*l - h - 76 = 0, 0 = 3*l + 3*h - 29 - 31. Let m be l/60 - (-86)/10. What is the highest common factor of m and 378?", "a": "9" }, { "q": "Suppose 0 = -24*i - 11*i - 54*i + 1246. Calculate the greatest common divisor of i and 46.", "a": "2" }, { "q": "Let o = 1160 + -656. Suppose 5*t - 15*y + 11*y - 252 = 0, 2*y = -4*t + 238. Calculate the highest common factor of o and t.", "a": "56" }, { "q": "Let q be ((-3 + 24)*-2*1/(-2))/3. Calculate the highest common divisor of 1 and q.", "a": "1" }, { "q": "Let g = -4023 + 4528. Calculate the highest common divisor of g and 303.", "a": "101" }, { "q": "Let d be (-42696)/92 - (-2)/23. Let r = d + 828. Calculate the greatest common divisor of r and 28.", "a": "28" }, { "q": "Let i(o) = -74*o - 618. Let u be i(-9). What is the highest common factor of 2424 and u?", "a": "24" }, { "q": "Suppose z = -3*z + 120. Suppose 17*y + 1932 = -4*y + 2940. What is the highest common divisor of y and z?", "a": "6" }, { "q": "Suppose -4*c - 619*t + 624*t = -347, -2*t = -2*c + 174. What is the greatest common factor of c and 1672?", "a": "88" }, { "q": "Let t(f) = f**3 - 5*f**2 - 47*f + 241. Let w be t(5). What is the greatest common factor of w and 158?", "a": "2" }, { "q": "Let c = 1328 + -1319. Calculate the greatest common divisor of c and 639.", "a": "9" }, { "q": "Suppose -5 + 9 = 2*u. Suppose 22 - 56 = -u*q. What is the highest common divisor of q and 221?", "a": "17" }, { "q": "Suppose 0 = 281*r - 289*r + 1664. Calculate the greatest common factor of 64 and r.", "a": "16" }, { "q": "Let l(h) = 2*h**2 + 2*h + 27. Let i be l(-8). What is the greatest common factor of i and 1112?", "a": "139" }, { "q": "Let s(b) = 2*b**3 - 13*b**2 + b - 9. Let o(a) = a**3 + a**2 - 2*a + 1. Let c be o(2). Let h be s(c). What is the highest common factor of h and 15?", "a": "15" }, { "q": "Suppose 0 = 29*h - 33*h + 24. Let l be 21/63 + 1348/h. What is the greatest common factor of l and 9?", "a": "9" }, { "q": "Suppose -2*f + 327 = 3*d, -3*d + 2*d - 3 = 0. Suppose -a + 5 = 1, -2*m - 2*a = -f. What is the greatest common factor of m and 5?", "a": "5" }, { "q": "Let m = 3625 + -3558. What is the greatest common factor of 2 and m?", "a": "1" }, { "q": "Suppose 7*w + 9886 = 33*w - 2854. What is the highest common divisor of 20 and w?", "a": "10" }, { "q": "Suppose 33 + 47 = -5*q. Let l = 18 + q. Suppose 0 = -4*v - 2*t + 3*t + 68, 0 = v + l*t - 8. What is the greatest common factor of v and 64?", "a": "16" }, { "q": "Let a be 6/(-27) + 466/(-9). Suppose -5*m - 5*i - 90 = -0*m, 0 = -5*m + 3*i - 98. Let o = m - a. What is the highest common divisor of 11 and o?", "a": "11" }, { "q": "Let t = -8 + 13. Let o = -664 + 719. What is the highest common factor of o and t?", "a": "5" }, { "q": "Let c(f) = 13*f**2 + 8*f - 15. Let g = -175 - -177. Let p be c(g). What is the greatest common divisor of p and 530?", "a": "53" }, { "q": "Let r be (((-23)/(-230))/(4/30))/((-2)/(-240)). What is the greatest common factor of 4230 and r?", "a": "90" }, { "q": "Let g = -2916 + 3709. Calculate the greatest common divisor of g and 13.", "a": "13" }, { "q": "Let z(t) = t**2 + 15*t + 35. Let u = 29 + -25. Suppose -2*b - 2*r - 34 = -5*r, -62 = 5*b + u*r. Let y be z(b). What is the highest common factor of 21 and y?", "a": "21" }, { "q": "Let c be ((-16)/2)/((-39)/(-9) + -5). Let a(b) = b**2 - 8*b - 29. Let z be a(c). Calculate the greatest common factor of z and 304.", "a": "19" }, { "q": "Suppose 0 = -165*r + 166*r - 11. Let a(o) = o**3 + 22. Let x be a(0). What is the highest common divisor of r and x?", "a": "11" }, { "q": "Suppose g - 4*g = -b + 13, 4*b = -g + 13. Suppose 3*r = -6 + 21. Let u be 24/(-40)*g*r. What is the greatest common divisor of u and 18?", "a": "9" }, { "q": "Let y(i) = -2*i - 6. Let v be y(-5). Let z be 2*8 + (-8)/v. Let m(s) = -31*s + 433. Let n be m(9). What is the greatest common divisor of n and z?", "a": "14" }, { "q": "Suppose n - 2*d - 5 - 81 = 0, -2*n + d + 157 = 0. What is the highest common factor of n and 817?", "a": "19" }, { "q": "Let p = 28 - 24. Let r = 68 + -66. Suppose r*h = -3*j + 18 + 5, -p*j + 5*h + 46 = 0. What is the highest common divisor of 36 and j?", "a": "9" }, { "q": "Suppose 0*t + t + 12 = 4*l, -5*l = -2*t - 12. Suppose -20 = -t*o - 0. Suppose 4*n = s + 53, 2*n - s - o = 24. What is the greatest common factor of 8 and n?", "a": "4" }, { "q": "Suppose -853*u - 3159 = -866*u. Calculate the greatest common divisor of 261 and u.", "a": "9" }, { "q": "Let o be -2 + 4 + (-492)/(-27) + 16/(-72). What is the greatest common factor of o and 410?", "a": "10" }, { "q": "Let h(s) be the third derivative of -s**4/24 + 34*s**3/3 - 2*s**2 + 46*s. Let a be h(13). What is the highest common divisor of 66 and a?", "a": "11" }, { "q": "Let d(n) = n**2 + 2*n + 10. Let u be d(-6). Suppose -164 - 106 = -5*k. Let p = k - 37. Calculate the highest common divisor of u and p.", "a": "17" }, { "q": "Suppose 25 + 25 = 2*r. Let f be (384/(-1) + 1)/(-1 - -2). Let a = -158 - f. Calculate the highest common factor of a and r.", "a": "25" }, { "q": "Let f be (0 - 24/(-20))/(1/((-10395)/(-14))). What is the greatest common divisor of f and 66?", "a": "33" }, { "q": "Suppose 11*z + 464 = 618. Let f be 9 + ((-3)/9)/(3/18). What is the greatest common factor of z and f?", "a": "7" }, { "q": "Suppose -3*d + 33 = 3*u, -55 + 18 = -3*d - 2*u. Suppose y + 5*p - 1 = 8, p - 45 = -5*y. Let h = y + -6. What is the highest common divisor of d and h?", "a": "3" }, { "q": "Let t(f) = f**3 + 14*f**2 - 72*f - 628. Let n be t(-9). What is the greatest common divisor of 20 and n?", "a": "5" }, { "q": "Suppose -6*d + 12 = -2*d. Let l(c) = 7*c**2 - 1 - 4 - c**3 + 2 - 4*c - d. Let j be l(5). What is the greatest common factor of j and 96?", "a": "24" }, { "q": "Suppose i + 6 = 0, 0 = 5*v + 5*i - 99 + 49. Let w(l) = -3*l**3 + 1. Let p be w(-1). Calculate the greatest common divisor of p and v.", "a": "4" }, { "q": "Let i be (-260)/(-650) - 1168/(-5). What is the greatest common divisor of 36 and i?", "a": "18" }, { "q": "Let h be (-182)/(-15) + (-2)/15. Let a be 1 + (h/3 - (-2 - 21)). What is the highest common divisor of 49 and a?", "a": "7" }, { "q": "Suppose -22*g + 6*g = -3216. Let o = 271 - g. Calculate the highest common factor of o and 42.", "a": "14" }, { "q": "Suppose u + 11 = 2*u. Let t = 14 - u. Suppose 3*m = 15, -t*a + 22 = -m - 3. What is the highest common factor of a and 50?", "a": "10" }, { "q": "Let h(w) = 2*w**2 + 22*w + 1. Let v be h(1). What is the highest common divisor of v and 18?", "a": "1" }, { "q": "Suppose h = -p + 1213 + 688, -3823 = -2*p + 5*h. Calculate the highest common divisor of p and 32.", "a": "16" }, { "q": "Suppose 0 = -8*y + 4*y. Suppose 5*q - g - 52 = y, -2*q + 0*g = 5*g - 10. What is the greatest common divisor of q and 30?", "a": "10" }, { "q": "Let p(y) = 167*y - 990. Let a be p(6). Calculate the greatest common factor of 4548 and a.", "a": "12" }, { "q": "Suppose 15 = v - 15. Suppose 2*i - 14 + 26 = x, x = 3*i + 15. What is the highest common divisor of v and x?", "a": "6" }, { "q": "Let z(o) = -98*o + 9. Let b be z(4). Let w = -185 - b. What is the greatest common divisor of 11 and w?", "a": "11" }, { "q": "Let v be ((-3)/2)/(1853/(-370) - -5). Calculate the greatest common divisor of 80 and v.", "a": "5" }, { "q": "Let p be (-11)/(209/2) - (-39928)/266. Let n = 65 - 20. What is the highest common divisor of p and n?", "a": "15" }, { "q": "Let w(x) = -x**2 + 23. Let v be w(0). Let b(p) = p**3 - 15*p**2 - 10*p - 50. Let n = -127 + 143. Let s be b(n). What is the greatest common factor of v and s?", "a": "23" }, { "q": "Let v be 10/4*54/(-30)*-2. Let t = -22 + 30. Suppose 0 = -t*j + 3*j + 225. What is the greatest common divisor of j and v?", "a": "9" }, { "q": "Suppose 0 = 3*o - 4*o. Suppose -2*x = -5*m + 17, o = -4*x - 4*m - 15 + 51. Calculate the highest common factor of 16 and x.", "a": "4" }, { "q": "Suppose 0 = -132*j + 117*j + 3930. What is the greatest common divisor of 4 and j?", "a": "2" }, { "q": "Let u = 2215 + -763. Calculate the highest common factor of 84 and u.", "a": "12" }, { "q": "Suppose f + 3483 = 5*l, 2*l + 3*f - 406 = 994. What is the highest common factor of l and 123?", "a": "41" }, { "q": "Let t = 9 - 7. Let g be 10/((-3 + -1)/(-2)). Suppose 0 = -g*m + 73 + t. Calculate the highest common factor of 5 and m.", "a": "5" }, { "q": "Let z be (-312)/13 + 5 + 51. Let y = -2 - -4. Suppose 7 = y*t - 1. Calculate the highest common divisor of t and z.", "a": "4" }, { "q": "Suppose -2*a = 3*l - 0 - 5, 0 = 5*a + 3*l - 17. Suppose 0 = -c + 2*t + 70, -c - a*t + 62 = 4. Let h = -10 + 54. What is the highest common factor of c and h?", "a": "22" }, { "q": "Let a be 1566647/5210 - ((-3)/10 - 0). What is the highest common divisor of 731 and a?", "a": "43" }, { "q": "Let b(u) = u**3 - 6*u**2 - 10*u + 6. Let o be b(4). Let f = 90 + o. Calculate the highest common factor of 264 and f.", "a": "24" }, { "q": "Suppose -5*i + 6775 = 5*t, 14*t + 1358 = 15*t + 2*i. Calculate the greatest common factor of t and 16.", "a": "8" }, { "q": "Let s(t) = 13*t**2 + 70*t - 301. Let z be s(4). What is the highest common divisor of z and 17?", "a": "17" }, { "q": "Suppose -21 = 3*r - 6*r + 3*u, 3*u + 13 = 2*r. Let h(x) = x**2 - 8*x + 16. Let d be h(r). What is the greatest common factor of d and 112?", "a": "16" }, { "q": "Let n = 100 - -36. Suppose -2051 + 5861 = -15*p. Let t = p + 271. What is the highest common factor of t and n?", "a": "17" }, { "q": "Let h = -42 + 46. Suppose o - 88 = -h. What is the greatest common divisor of o and 42?", "a": "42" }, { "q": "Suppose -28*v = -11*v - 153. Let z be 4/((-2)/1 - -3). Suppose 4 = z*p - 0. What is the greatest common factor of v and p?", "a": "1" }, { "q": "Suppose -2*m + 3*v + 134 = 0, -5*m - 5*v - 142 = -7*m. Calculate the highest common divisor of m and 2.", "a": "1" }, { "q": "Let t = 40 + -23. Let c(n) = -25 + n**3 - 5*n - 156*n**2 - 5*n - 138*n**2 + 305*n**2. Let d be c(-11). Calculate the greatest common factor of t and d.", "a": "17" }, { "q": "Let w be 247/19*74 - -3*2. Calculate the highest common factor of 8 and w.", "a": "8" }, { "q": "Let y be 895*((3 - (-5 + 2)) + 1 + -5). Calculate the highest common factor of 10 and y.", "a": "10" }, { "q": "Let n(f) = -f**3 - 7*f**2 + 8*f + 3. Let d be n(-8). Suppose d*x = 7*x - 144. Let b = 144 - x. Calculate the greatest common divisor of b and 12.", "a": "12" }, { "q": "Let h(r) = 21*r + 1. Let a(m) = -7*m + 2*m + 26*m. Let y(z) = -2*a(z) + 3*h(z). Let o be y(1). What is the highest common factor of o and 96?", "a": "24" }, { "q": "Let d be -58*8/(-6)*(17 + (-1905)/120). What is the highest common factor of 2697 and d?", "a": "87" }, { "q": "Let y = -2429 - -2590. What is the greatest common factor of 529 and y?", "a": "23" }, { "q": "Let v = -1 - -18. Suppose 42 = v*i - 20*i. Let f be (-76)/133 + (-1 - 358/i). What is the greatest common divisor of 36 and f?", "a": "12" }, { "q": "Suppose -5*i + 9*i - l = 1, 0 = l - 3. Let w be 33 - (3 + i + -5). Calculate the greatest common divisor of w and 2.", "a": "2" }, { "q": "Let y be ((-27)/(-2))/(-9)*-6. Suppose u = -2*u - 3*s + y, -u + 5*s + 33 = 0. Let d be (-84)/10*20/(-3). Calculate the greatest common factor of u and d.", "a": "8" }, { "q": "Suppose -g + 2*j = -30, 3*j = -24 + 9. Suppose -44 = -9*u - 53. Let x be -2*153/6*u - 1. Calculate the highest common divisor of x and g.", "a": "10" }, { "q": "Let y(f) be the second derivative of f**4/12 - 3*f**3/2 + 7*f**2/2 - 13*f - 2. Let a be y(9). What is the highest common divisor of 63 and a?", "a": "7" }, { "q": "Let w = -215 - -446. Let t = 41739 + -41718. What is the highest common factor of w and t?", "a": "21" }, { "q": "Suppose 21088 - 2224 = 11*q + 5*q. Calculate the greatest common factor of q and 18.", "a": "9" }, { "q": "Let s be ((-15561)/(-114) + (-1)/2)*1. What is the greatest common factor of 296 and s?", "a": "8" }, { "q": "Let y be 1 + (-14)/(-3) + 144/108. Suppose 1551 = y*d - 129. Calculate the greatest common factor of d and 12.", "a": "12" }, { "q": "Let v(z) = -z**2 - 14*z + 98. Let q be v(-22). Let s be 1494/78 + 12/q. What is the greatest common factor of s and 114?", "a": "19" }, { "q": "Let w be 86 - ((-3)/(-3) - 0). Let f be -4 + 0 - (-6264)/87. Calculate the greatest common factor of f and w.", "a": "17" }, { "q": "Suppose -4*r + 150 = 5*b, 2*b = 5*r - 3*b - 165. Suppose r*y = 34*y + 90. Calculate the greatest common factor of 20 and y.", "a": "10" }, { "q": "Suppose -286*v = -195*v - 83083. Calculate the greatest common divisor of 11 and v.", "a": "11" }, { "q": "Let x = -2936 - -4566. What is the greatest common divisor of 10 and x?", "a": "10" }, { "q": "Let v be ((-2)/(-6)*-1)/((-9)/810). Let d(y) = 2*y - 4. Suppose -t + 0*t + 5 = 0. Let m be d(t). Calculate the highest common factor of v and m.", "a": "6" }, { "q": "Let l(v) = -v**3 + 32*v**2 + 2*v - 59. Let d be l(32). Let c be -1*(-225*1)/d. Calculate the highest common factor of c and 360.", "a": "45" }, { "q": "Let u(l) = l**3 - 14*l**2 - 13*l - 26. Let a = -6 + 21. Let x be u(a). Calculate the highest common divisor of x and 22.", "a": "2" }, { "q": "Let i(v) = -1 - 4*v**2 - v**3 - 9*v + 1. Let a be (-10)/(-600)*10 + (-37)/6. Let c be i(a). Calculate the highest common divisor of 14 and c.", "a": "14" }, { "q": "Let f(c) = 7*c + 4*c - 8*c. Let h be f(2). Suppose h*p - 144 = -0*p. Calculate the highest common factor of 6 and p.", "a": "6" }, { "q": "Suppose -5934*z + 5952*z = 1224. What is the highest common divisor of z and 85?", "a": "17" }, { "q": "Suppose -s + 3*r = -0*r - 237, -5*s = -4*r - 1196. Let f(k) = -12*k - 12. Let j be f(-9). Calculate the highest common divisor of j and s.", "a": "48" }, { "q": "Let g(l) = l**2 - 9*l + 3. Let z be g(9). Suppose -2*f = z*f - 0*f. Suppose -6*w - 46 = -2*h - 4*w, f = -5*w. Calculate the greatest common divisor of h and 23.", "a": "23" }, { "q": "Let n = -887 - -897. Let a be 176/18 + (-6)/(-27). What is the highest common divisor of a and n?", "a": "10" }, { "q": "Suppose -3*q = 4*i - 6975, 0 = -14*i + 9*i + 2*q + 8713. Calculate the greatest common factor of i and 21.", "a": "21" }, { "q": "Let i(v) = -v**3 + v**2 + v. Let u(x) = 5*x**3 - 3*x**2 + 2*x + 5. Let r(m) = 6*i(m) + u(m). Let s be r(4). What is the greatest common divisor of s and 14?", "a": "7" }, { "q": "Suppose -4*v - 6 = -5*t + 6, 0 = 3*v + 3*t - 18. What is the highest common factor of 256 and v?", "a": "2" }, { "q": "Suppose 5*l = 0, z - 2*z + 95 = 5*l. Suppose -5 = 8*n - 3*n. Let h be (14/12 + n/6)*38. What is the highest common divisor of z and h?", "a": "19" }, { "q": "Let s(m) = m**3 - 4*m**2 + 2*m + 3. Let z be s(2). Let x be (-4 - z)*(-20)/3. Calculate the highest common factor of x and 140.", "a": "20" }, { "q": "Let t = -3797 + 3845. Suppose -5*m = -5*a - 175, 3*a + 104 - 31 = -5*m. Let g = a - -103. Calculate the highest common factor of g and t.", "a": "24" }, { "q": "Suppose -3*c + 6195 = -5*t, 3*c - t = -3079 + 9262. What is the highest common factor of 20 and c?", "a": "20" }, { "q": "Suppose 5*i - 35*i + 17110 = -39320. Calculate the greatest common divisor of 99 and i.", "a": "99" }, { "q": "Suppose -23*n - 196 = -1093. Suppose 11*a - 14*a = -n. Calculate the greatest common divisor of a and 52.", "a": "13" }, { "q": "Let i be (-362)/(-8) + -2 + (-1)/4. Suppose 4*c = 2*h + 9*c - 4, -5*h = -4*c - i. What is the highest common divisor of 7 and h?", "a": "7" }, { "q": "Suppose 157*m - 164*m = -791. Calculate the greatest common factor of 2260 and m.", "a": "113" }, { "q": "Let a(h) = 2*h + 4. Let m be a(3). Let i(b) = -b + 10. Let n be i(4). Let u be (-3 - 15/n*-1)*-10. Calculate the greatest common factor of m and u.", "a": "5" }, { "q": "Let z = 2256 + -2220. What is the greatest common divisor of z and 747?", "a": "9" }, { "q": "Let i(a) = -1. Let j(q) = 8*q + 9. Let l(g) = 2*i(g) - j(g). Let h be l(-7). Let d = h - 39. Calculate the highest common factor of d and 24.", "a": "6" }, { "q": "Suppose -336 - 8134 = -14*c. What is the highest common divisor of 5 and c?", "a": "5" }, { "q": "Let s = -101 - -335. What is the highest common divisor of 1443 and s?", "a": "39" }, { "q": "Suppose 2*q - 5*f + 157 = 4*q, -5*q + 3*f = -377. Calculate the highest common factor of q and 988.", "a": "76" }, { "q": "Let h = 136 - 134. Suppose 110 = 6*t - 2*t - 3*s, -h*t + 46 = 3*s. What is the greatest common factor of 26 and t?", "a": "26" }, { "q": "Let g be 19/(-1)*(-50)/2. Let s(o) = 69*o - 4943. Let p be s(72). Calculate the highest common factor of g and p.", "a": "25" }, { "q": "Suppose 0*x - 9 = -x. Let q(i) = 3*i + 38. Let l be q(-11). Suppose -l - x = -4*k + 2*z, -z = 1. What is the greatest common factor of k and 15?", "a": "3" }, { "q": "Let r(i) = -i**2 - 33*i - 210. Let v be r(-11). Let y be (-2 - -1) + 9 + 4. Calculate the greatest common divisor of y and v.", "a": "4" }, { "q": "Let q be (56/(-7) - -9)*2*2. Suppose q*n - 5*c - 440 - 133 = 0, n + 5*c - 162 = 0. What is the highest common divisor of n and 21?", "a": "21" }, { "q": "Let l be -6*(1 - 7)*(-4)/(-3). Let t(k) = k + 52. Let x be t(28). What is the highest common factor of x and l?", "a": "16" }, { "q": "Let h be 17 - (-2 + 1) - (-49 + 57). Calculate the greatest common divisor of h and 970.", "a": "10" }, { "q": "Suppose 8*f + 3*f = 330. Suppose -113 = -12*z + 103. What is the greatest common divisor of z and f?", "a": "6" }, { "q": "Let b be ((-18)/3)/((-39)/494). Let g(z) = z**2 - 2*z - 6. Let m be g(9). Calculate the greatest common divisor of b and m.", "a": "19" }, { "q": "Suppose q = 21*b - 16*b + 34, -3*b = 2*q - 3. Suppose 0 = 4*j + k - 81, -3*k = 4*j - k - 78. What is the highest common divisor of j and q?", "a": "3" }, { "q": "Let o be (12/6)/(10/6510). What is the greatest common factor of 84 and o?", "a": "42" }, { "q": "Suppose 10*j = 2*j + 114 + 198. What is the greatest common divisor of 90 and j?", "a": "3" }, { "q": "Suppose -10*o + 174 = -4*o. Let n = o + -24. Suppose n*z = -20, 9*u + 3*z - 78 = 4*u. What is the greatest common divisor of 144 and u?", "a": "18" }, { "q": "Suppose -142 = 18*g - 1478 - 212. Calculate the greatest common factor of g and 2537.", "a": "43" }, { "q": "Let f(v) = -v - 75. Let b be f(0). Let t = -14 - b. Let c = t + 11. What is the highest common divisor of 9 and c?", "a": "9" }, { "q": "Suppose -5*u - 1817 = -p, -8*p + 13*p - 9085 = -5*u. Calculate the highest common factor of 23 and p.", "a": "23" }, { "q": "Suppose -i = -0*i + z - 116, 347 = 3*i + 2*z. Suppose 126 = i*o - 112*o. What is the greatest common factor of 28 and o?", "a": "14" }, { "q": "Let h be (-12)/(-8)*(-6)/27*-6. Let x = 16 - h. Suppose -2*a + 33 = 5*l, -2*a + 7*a - 3*l = 67. Calculate the greatest common divisor of a and x.", "a": "14" }, { "q": "Suppose -k + 8*f = 13*f - 1578, 12 = -4*f. Suppose 10*w - k = -553. Calculate the greatest common divisor of 52 and w.", "a": "52" }, { "q": "Suppose -19 + 4 = 3*m. Let v be (m/2)/((-6)/24). What is the highest common factor of 25 and v?", "a": "5" }, { "q": "Let g(m) be the first derivative of -3*m + 3*m**2 - 1/3*m**3 - 15. Let i be g(4). Calculate the highest common factor of 1 and i.", "a": "1" }, { "q": "Suppose 24 = 12*v - 4*v. Suppose 0*t - t = v, t + 15 = -4*p. Let z = p + 29. What is the highest common factor of 65 and z?", "a": "13" }, { "q": "Let u(i) be the second derivative of i**4/12 - 13*i**3/6 - 53*i**2/2 + 21*i. Let x be u(22). Calculate the highest common divisor of x and 29.", "a": "29" }, { "q": "Let r(v) = 3*v - 10. Let c be r(14). Let l(u) = 11*u**2 - 92*u - 596. Let d be l(-6). Calculate the greatest common factor of d and c.", "a": "32" }, { "q": "Suppose -3*f + 328 = 103. Let j = 135 + -35. What is the highest common factor of j and f?", "a": "25" }, { "q": "Let n = 1614 - 1590. Let l(q) = q**3 - 6*q**2 + 8*q - 6. Let o be l(6). Calculate the highest common factor of n and o.", "a": "6" }, { "q": "Suppose 3*o - 3*v - 45 = -2*o, 38 = 3*o - 4*v. Suppose 33 = 3*x - o*p + 10*p, -5*p = 2*x - 15. What is the highest common divisor of 165 and x?", "a": "15" }, { "q": "Suppose 21 = z + 2*z. Let y be ((-15)/6)/((-3)/102). Let i = 92 - y. Calculate the greatest common divisor of i and z.", "a": "7" }, { "q": "Let s(x) = x**2 + 8*x + 42. Let n be (11 - (-183)/(-9))*(-3)/(-2). Let r be s(n). Calculate the greatest common factor of 18 and r.", "a": "18" }, { "q": "Let a(d) = 7*d + 74. Let v be a(-11). Let o be (1/v - (-5975)/15) + -2. Calculate the highest common factor of 36 and o.", "a": "36" }, { "q": "Let w = -2241 - -2281. Calculate the highest common factor of w and 340.", "a": "20" }, { "q": "Let r = 245 + -45. Let u be 4 + 2 + r/4. Calculate the highest common factor of 168 and u.", "a": "56" }, { "q": "Let w(v) = 7*v**3 - v**2 - 5*v - 17. Let x be w(-3). Let n be ((-48)/30)/(5/x). What is the highest common divisor of n and 32?", "a": "32" }, { "q": "Suppose 2677 = 29*m - 9732 + 1563. Calculate the greatest common divisor of 44 and m.", "a": "22" }, { "q": "Suppose -g + 4*o + 11 = -18, 28 = 2*g - 2*o. Let p be (-32)/(-40) + (-3232)/(-10). Suppose -2*h + 6*h = p. What is the highest common divisor of h and g?", "a": "9" }, { "q": "Suppose -6*q + 28 = 16. Suppose 3*a = -2*v + 150, -q*a - 52 = 2*v - 152. What is the greatest common divisor of 200 and a?", "a": "50" }, { "q": "Let r = 19 - 5. Suppose 0 = 4*j - 3*p + 24, -5*j - p - 8 = -j. Let h be j - 2*62/(-4). What is the highest common factor of r and h?", "a": "14" }, { "q": "Let i(l) be the third derivative of l**6/120 - 13*l**5/60 + 3*l**4/8 + 4*l**3/3 - 13*l**2. Let r be i(14). What is the greatest common divisor of r and 30?", "a": "30" }, { "q": "Suppose 3*q = 3*a + 24, a + 8*q - 6*q = 1. Let h(d) = d**3 + 4*d**2 - 10*d - 21. Let x be h(a). What is the greatest common divisor of x and 12?", "a": "4" }, { "q": "Suppose 0 = 11*c - 13*c + 32. Let y = c - 13. Calculate the highest common divisor of 51 and y.", "a": "3" }, { "q": "Let r = 6 - 19. Suppose 7*j - 64 - 188 = 0. Let q = j + r. Calculate the greatest common divisor of q and 92.", "a": "23" }, { "q": "Let y(c) = 3*c**2 - 229*c + 170. Let u be y(76). Calculate the greatest common divisor of 1598 and u.", "a": "94" }, { "q": "Suppose -2*g = -r, -4*r + 5 = -2*g - 1. Let w = 104 - r. What is the highest common factor of w and 6?", "a": "6" }, { "q": "Let c be 232 - (-2 + 3)*-2. Suppose -2*f - 14 + 24 = g, 2*g - 5*f - 92 = 0. Calculate the highest common factor of g and c.", "a": "26" }, { "q": "Let v be (-1565)/20*8*(-40)/16. Calculate the greatest common factor of 5 and v.", "a": "5" }, { "q": "Let g be ((-3)/4)/(1/(-32)). Let z be (-250)/(-7) - 28/(-98). What is the greatest common factor of g and z?", "a": "12" }, { "q": "Let u be (-4)/6*3 + 7. Suppose -3*l - 92 = -17. Let s = 40 + l. Calculate the greatest common factor of u and s.", "a": "5" }, { "q": "Let n(q) = q**3 + 20*q**2 + 60*q - 3. Let t be n(-5). What is the highest common factor of 102 and t?", "a": "6" }, { "q": "Suppose 2*r - 3 = -3*v, -36 = -5*v + 5*r - 6. Suppose -v*y = -4*p + p + 24, p = -5*y - 22. Let g = y + 16. Calculate the highest common divisor of 1 and g.", "a": "1" }, { "q": "Let d = 145 - 140. Suppose -5*i + m + 65 = -2*i, -d*m = -20. Calculate the highest common divisor of i and 69.", "a": "23" }, { "q": "Suppose 0*a = 6*a - 4*a. Suppose a = -3*i - 1 - 2. Let s(y) = -19*y**3 + y**2 + y + 1. Let k be s(i). Calculate the greatest common factor of k and 20.", "a": "20" }, { "q": "Suppose 0 = -14*y + 18*y + 216. Let g be (1*3)/((-492)/y + -9). What is the greatest common divisor of g and 189?", "a": "27" }, { "q": "Let v = 449 + -230. Suppose 3*f - v = -t, -2*t - 697 = -5*t + f. Calculate the greatest common factor of t and 21.", "a": "21" }, { "q": "Let n be 80/24*(-3)/(-2). Suppose 4*z + 185 = 205. What is the highest common divisor of n and z?", "a": "5" }, { "q": "Let d(c) = -13*c - 23. Let p = 108 + -114. Let g be d(p). Calculate the greatest common divisor of 22 and g.", "a": "11" }, { "q": "Suppose -15*c - 4252 + 13612 = 0. What is the greatest common divisor of c and 60?", "a": "12" }, { "q": "Let w(b) = 2*b**2 - 3*b - 2. Let x be w(-2). Let g be 1/(2/1006) + 3. Let u be 5/(-15) - g/(-6). What is the highest common divisor of u and x?", "a": "12" }, { "q": "Let p = -6 + 26. Suppose -132*u - 400 = -64*u - 72*u. What is the highest common divisor of u and p?", "a": "20" }, { "q": "Suppose 0 = 10*k + 15 - 145. Let l be 2261/247 + (-2)/k. Let f(b) = 8*b**2 - b + 3. Let a be f(3). Calculate the highest common factor of a and l.", "a": "9" }, { "q": "Let m = -1356 + 2474. What is the highest common divisor of 344 and m?", "a": "86" }, { "q": "Let m be 6/(-1) - ((-1792)/168 + (-4)/(-6)). Calculate the greatest common divisor of 64 and m.", "a": "4" }, { "q": "Let z(g) = -46*g - 10. Let f be z(-7). Let d = 2223 - 2199. What is the highest common factor of f and d?", "a": "24" }, { "q": "Let g(f) = -2*f**2 + 12*f + 6. Suppose 3*z + 2*h - 8 = 0, 2*h = 3*z + 7 - 35. Let x be g(z). What is the highest common factor of 42 and x?", "a": "6" }, { "q": "Suppose -216*v + 219*v = 42. Let s = -32 + 102. What is the highest common factor of s and v?", "a": "14" }, { "q": "Suppose -32 = -5*k - 3*i, -20 = -3*k - 3*i + 4. Suppose -79 = k*p - 263. What is the greatest common divisor of p and 115?", "a": "23" }, { "q": "Suppose 6*f - 17*f = -264. Suppose -4*b + f - 4 = 0. What is the highest common divisor of 1 and b?", "a": "1" }, { "q": "Let v be 6 + (-4)/((-16)/(-12)). Suppose v*u = 4*o + u - 18, -4*u = 2*o + 16. Let m be 4 - 7 - (-12)/o - -9. Calculate the greatest common divisor of 108 and m.", "a": "12" }, { "q": "Let c(m) = m**3 + m**2 + m + 2. Let w(b) = -12*b**3 - 4*b**2 - 3*b. Let q(f) = 5*c(f) + w(f). Let o be q(-2). Calculate the greatest common divisor of o and 88.", "a": "22" }, { "q": "Suppose -21 = -h + 3*p + 5, 4*h = p + 104. Suppose -z = 3*z - 1412. Let f = z + -249. Calculate the greatest common divisor of f and h.", "a": "26" }, { "q": "Let b(m) = -m - 6. Let j be b(-8). Suppose q = j*q - 5. Suppose 4*d = -4*w + 195 + 65, q*d = 25. Calculate the greatest common factor of w and 10.", "a": "10" }, { "q": "Suppose 0 = 3*u - 4*y - 26, -2*u + 4*u - 8 = -2*y. Let t be (u + 126/(-12))*-2. What is the greatest common divisor of t and 207?", "a": "9" }, { "q": "Suppose -240 = -4*h + s - 32, 2*h - 5*s = 104. Suppose -4*u = -2*u - h. Calculate the highest common factor of u and 104.", "a": "26" }, { "q": "Suppose 5*y = -10 + 75. Let j be (12/42)/(1 + (-24)/28). Suppose j*x - 591 = -3*x + 2*m, 570 = 5*x + 5*m. Calculate the greatest common divisor of x and y.", "a": "13" }, { "q": "Suppose -v = -5*w - 14, 2*w - w - 14 = -4*v. Suppose 0 = v*l - 10*l + 546. Calculate the highest common divisor of l and 13.", "a": "13" }, { "q": "Let b = -4619 + 4625. Suppose 3 = -n + 5*o, 2*o + 16 = -2*n + 46. Suppose j - n = -j. What is the greatest common factor of j and b?", "a": "6" }, { "q": "Let l be ((-31 - (-10)/2) + -4)*(9 + -15). Calculate the highest common factor of 684 and l.", "a": "36" }, { "q": "Let k = 13106 - 8867. What is the highest common factor of k and 157?", "a": "157" }, { "q": "Let l(w) be the second derivative of w**4/12 + 17*w**3/3 + 21*w**2/2 + w + 2. Let x be l(-34). Calculate the greatest common divisor of x and 14.", "a": "7" }, { "q": "Suppose -18*w + 24448 = -7*w + 6628. Calculate the highest common divisor of w and 27.", "a": "27" }, { "q": "Suppose -5*d + 8*d - 4269 = -2*r, -1424 = -d - r. What is the highest common divisor of 49 and d?", "a": "49" }, { "q": "Let h be (-7291)/(-46) + (-1*1)/(-2). Suppose -h = 8*d - 11*d. Suppose -x + 10 + d = 0. What is the highest common divisor of 9 and x?", "a": "9" }, { "q": "Suppose -2*t = 11 - 23. Let c be ((-6)/4)/(t/(-868)). Calculate the greatest common factor of c and 31.", "a": "31" }, { "q": "Suppose 23 = 5*w + r - 5, -2*r + 26 = 5*w. Suppose i + w = 3*i. Suppose 0 = 2*c - 33 - i. What is the greatest common factor of c and 6?", "a": "6" }, { "q": "Suppose -2218 + 109 = -30*i + 1401. Calculate the greatest common factor of i and 3510.", "a": "117" }, { "q": "Suppose -5*v + 3*f + 15 - 172 = 0, 3*v = -4*f - 100. Let d(l) = -3*l + 9. Let p be d(v). Calculate the highest common factor of 45 and p.", "a": "15" }, { "q": "Suppose 4*o + 2*g = 2 + 8, -g = -5. Suppose o = -2*j - j, 5*j + 47 = r. Calculate the highest common factor of r and 423.", "a": "47" }, { "q": "Suppose 0*i - i - 70 = 2*a, 0 = 4*a + 3*i + 144. Let p = a - -36. Let y be (3 + (-32)/12)*p - -31. What is the highest common factor of 352 and y?", "a": "32" }, { "q": "Let s = -2 - -6. Let t be (0 - s/3)*75/50. Let a be (t - -5)*9 - 0/4. Calculate the greatest common factor of 9 and a.", "a": "9" }, { "q": "Suppose -y + 2 = 0, 0 = 6*n - 8*n + 7*y + 1386. What is the highest common divisor of 168 and n?", "a": "28" }, { "q": "Suppose -37 - 5 = -3*i. Let o = 69 - 58. Let t(d) = -d**2 + 19*d + 10. Let c be t(o). What is the greatest common factor of c and i?", "a": "14" }, { "q": "Let s(f) = -2*f**3 - 4*f**2 + 11*f + 35. Let p be s(-5). Calculate the greatest common factor of 90 and p.", "a": "10" }, { "q": "Let m be 7/(-3)*(-396)/44. Suppose -n + 4 + 3 = -2*f, 4*f = 0. Calculate the greatest common factor of n and m.", "a": "7" }, { "q": "Suppose 28 = -2*x + 4*l, -4*x - 32 = -0*x - 5*l. Let a = 12 + -6. What is the greatest common factor of x and a?", "a": "2" }, { "q": "Let k(i) = -i**3 - 9*i**2 + 8*i - 16. Let n be k(-12). Let f be -3*(n/(-15) + 0). What is the highest common factor of 4 and f?", "a": "4" }, { "q": "Let o = -81 - -120. Let v(l) be the second derivative of l**5/20 - l**3/3 + 13*l**2 + 3*l. Let h be v(0). Calculate the greatest common factor of o and h.", "a": "13" }, { "q": "Suppose 5*f = -4*i + 53 + 31, -5*f = -20. Suppose 8*u - i*u = -1080. Let w be (-2)/7 - (-214)/14. What is the highest common divisor of u and w?", "a": "15" }, { "q": "Let c = -58 - -80. Let o(j) = 14*j - 77. Let m be o(11). What is the greatest common divisor of m and c?", "a": "11" }, { "q": "Let i = 15 + -13. Let y(c) = -c**2 + 21*c + 14. Let r be y(21). What is the greatest common divisor of i and r?", "a": "2" }, { "q": "Let b(t) = -3*t - 9. Let y(l) = -1. Let d(p) = b(p) + 2*y(p). Let v be d(8). Let u = v - -37. Calculate the greatest common divisor of u and 10.", "a": "2" }, { "q": "Suppose -2*z + v - 6 = -v, -3*v = 4*z + 26. Let a = 25 + z. Let g be ((-8)/a)/(1/(-250)). What is the highest common factor of g and 20?", "a": "20" }, { "q": "Suppose 11 = -7*w - 262. Let i = w - -43. Calculate the highest common divisor of 124 and i.", "a": "4" }, { "q": "Let c be ((-1)/(-2))/(9/(-10206)*-7). Suppose -z - 4*z - 5*g = -75, 0 = 2*z - 2*g - 42. What is the greatest common factor of z and c?", "a": "9" }, { "q": "Suppose -18*u = -12*u - 12. Suppose -2*w + 2*i + 372 = -2*i, 0 = -u*w - 3*i + 337. What is the highest common factor of 22 and w?", "a": "22" }, { "q": "Suppose 2 = -2*m, 3*g - 2*g + m = 4. Let b be 10/3*6/g. Suppose 0 = b*l + 6 - 42. What is the highest common divisor of 81 and l?", "a": "9" }, { "q": "Let t = 62 - -326. Suppose 276 = -4*n + t. Calculate the greatest common divisor of n and 140.", "a": "28" }, { "q": "Suppose 23*b + 117 = 508. Calculate the greatest common divisor of b and 238.", "a": "17" }, { "q": "Suppose -16 = -2*z - w - 4, 2*z - 2 = 4*w. Let k = 4 - z. Let h(o) = -253*o**3 + o**2 + o - 1. Let i be h(k). Calculate the greatest common divisor of 28 and i.", "a": "28" }, { "q": "Suppose 4*b + 5*k = 6344, b + 8*k - 4741 = -2*b. Calculate the highest common divisor of b and 37.", "a": "37" }, { "q": "Let c(q) = 22*q**2 + q + 5. Let s be c(1). Calculate the greatest common divisor of s and 1736.", "a": "28" }, { "q": "Let t be (-6)/63 + 10756*(-3)/(-126). Calculate the greatest common factor of 80 and t.", "a": "16" }, { "q": "Let s be 2 + -2 + (-21)/(-3). Suppose -6 = s*r - 55. Suppose r*q - 70 = -0*q. What is the highest common divisor of q and 2?", "a": "2" }, { "q": "Suppose -4*w + 8*w - 5*t = 391, -5*t = 5*w - 545. Suppose -3*g + 312 = g. Calculate the highest common factor of w and g.", "a": "26" }, { "q": "Let f = -2925 + 3335. What is the greatest common factor of f and 10?", "a": "10" }, { "q": "Let x = 99 + -130. Let n = -30 - x. Calculate the greatest common divisor of 16 and n.", "a": "1" }, { "q": "Suppose -28*q = -1893 - 1887. Let k(o) = 0*o - 3 + o**3 + 1 - 1 + o. Let a be k(3). Calculate the highest common factor of a and q.", "a": "27" }, { "q": "Let r = 33 + -35. Let y be ((-65)/(-26))/(r/(-12)). Let g be -2 - (10/y + (-232)/6). Calculate the greatest common divisor of 24 and g.", "a": "12" }, { "q": "Suppose 3*w - 560 = -2*p, -2*p - 298 = -3*p + 3*w. Suppose -57*m + p = -46*m. What is the greatest common factor of m and 221?", "a": "13" }, { "q": "Suppose -15*t - 563 + 1902 = -1211. What is the highest common factor of t and 306?", "a": "34" }, { "q": "Suppose -5*r + 183 = 33. Let b(d) = -d**3 + 4*d**2 - 2. Let h be b(3). Suppose 0 = -h*n + r + 89. What is the greatest common factor of 187 and n?", "a": "17" }, { "q": "Suppose -2*w = w + 3*t - 1098, -4*t = -4*w + 1440. Let m(k) = -42*k + 579. Let z be m(13). Calculate the greatest common divisor of z and w.", "a": "33" }, { "q": "Let x = 247 - 272. Suppose 0*a + 4*a + 60 = 0. Let f = a - x. What is the greatest common divisor of f and 110?", "a": "10" }, { "q": "Suppose -5*b + 54 = 3*q - 2*b, 0 = -2*q - b + 41. Suppose 26*o = q*o + 351. Calculate the greatest common divisor of o and 13.", "a": "13" }, { "q": "Suppose -2*f - i = -80 - 945, -3*f + i = -1540. Calculate the highest common factor of f and 27.", "a": "27" }, { "q": "Let x(m) = -9*m - 3. Let j be x(-3). Suppose 1687 = 63*b - 56*b. Let q = -169 + b. What is the highest common divisor of q and j?", "a": "24" }, { "q": "Let a be ((-21)/9)/(4 + 195/(-45)). Calculate the greatest common factor of a and 392.", "a": "7" }, { "q": "Suppose -44 = -4*t - 7*t. Suppose -47 = -v - z, t*v = -4*z + z + 192. What is the highest common factor of v and 68?", "a": "17" }, { "q": "Let r(j) = 17*j - 498. Let m be r(39). Calculate the greatest common factor of m and 231.", "a": "33" }, { "q": "Let x(h) = -2*h**3 - 4*h**2 + 7*h + 3. Let m be x(-4). Let w = -31 + m. Suppose -27*z = -31*z + 128. Calculate the greatest common factor of z and w.", "a": "8" }, { "q": "Let c be (252/35)/((-1)/5). Let u = -30 - c. Suppose r - x + 6*x - 81 = 0, -4*r + x = -261. What is the greatest common factor of u and r?", "a": "6" }, { "q": "Suppose 0 = -43*q + 131993 + 50681 + 8805. Calculate the greatest common divisor of 146 and q.", "a": "73" }, { "q": "Suppose 13 = f + 2. Let c(j) = j**3 - 2*j**2 + 4*j - 3. Let h be c(2). Let t(b) = -b + 38. Let o be t(h). What is the greatest common divisor of o and f?", "a": "11" }, { "q": "Let d(p) = -p**2 - 13*p - 10. Let b be (-309)/6 - 3/6. Let j = 46 + b. Let y be d(j). What is the greatest common divisor of y and 32?", "a": "32" }, { "q": "Suppose -1 + 30 = 5*v + 2*j, v - 15 = -5*j. Let w be (51 - v)*(-5)/(-2). What is the greatest common divisor of 5 and w?", "a": "5" }, { "q": "Suppose 5*s - 4*x = 121 - 13, 2*x = 5*s - 114. Let i be s/15 - (-12)/30. Calculate the greatest common factor of 54 and i.", "a": "2" }, { "q": "Let d(u) = -61*u - 77. Let k(a) = -15*a - 19. Let s(z) = 2*d(z) - 9*k(z). Let v be s(5). Suppose v = 2*i - 38. Calculate the highest common factor of 20 and i.", "a": "20" }, { "q": "Let r = 13 - 16. Let i be ((-1)/r)/((-11)/(-3036)). Calculate the highest common divisor of 4 and i.", "a": "4" }, { "q": "Suppose q + 16 = -5*p, -6*p + 4*q = -p + 11. Let a be p/(-2)*((-80)/(-5) + -6). What is the highest common factor of 60 and a?", "a": "15" }, { "q": "Let s(u) = 2*u**2 + 68*u - 258. Let a be s(-38). Suppose 3*m + 26 = -o + 83, 187 = 3*o + 5*m. What is the greatest common factor of a and o?", "a": "23" }, { "q": "Let r(v) = -47*v - 5. Let w be r(4). Let n = 205 + w. Calculate the highest common divisor of n and 132.", "a": "12" }, { "q": "Let i be 3/6*189*(-178)/(-267). Calculate the greatest common factor of i and 1407.", "a": "21" }, { "q": "Suppose -48*v + 646 = -14*v - 2890. Calculate the highest common factor of v and 156.", "a": "52" }, { "q": "Suppose 3*b - 43 - 14 = 3*x, 4*x + 20 = 0. What is the highest common factor of 1792 and b?", "a": "14" }, { "q": "Let x be (-6)/120*-8 + (-46)/(-10). Suppose x*l = -171 + 196. Calculate the greatest common factor of l and 35.", "a": "5" }, { "q": "Let b be 15/(-12) + (-48375)/(-150)*73/10. What is the greatest common factor of 52 and b?", "a": "13" }, { "q": "Let i be 1528/15 + (-8)/(-60). Let w = -99 + i. Calculate the highest common factor of 3 and w.", "a": "3" }, { "q": "Let v(p) = 3*p**2 + 6*p + 5. Let o be v(-2). Suppose k + k - o*s = 194, s = -4*k + 366. What is the greatest common divisor of 46 and k?", "a": "46" }, { "q": "Let h be (36 - 33118/(-145)) + (-1)/((-10)/(-4)). Calculate the greatest common factor of 168 and h.", "a": "24" }, { "q": "Suppose 2*f - 815 = -4*m + 1547, 0 = 4*m - 3*f - 2357. Calculate the highest common factor of 90 and m.", "a": "10" }, { "q": "Let y be (21000/18)/14 + 6/9 - -4. Calculate the highest common divisor of y and 8.", "a": "8" }, { "q": "Suppose 31*o = 152 + 778. Suppose -3*a + 7*d + 21 = 4*d, -d - 1 = 0. What is the greatest common factor of o and a?", "a": "6" }, { "q": "Let b(i) = -34*i**2 + 17*i**2 - 5 + 21*i**2. Let k be b(-5). What is the highest common divisor of 5 and k?", "a": "5" }, { "q": "Suppose 0 = 3*b + 5*c - 10*c - 22, -5*c + 41 = 4*b. Let m be 4 + 161 + b/(-3). Calculate the greatest common factor of m and 36.", "a": "18" }, { "q": "Let v = -14 - -34. Let u be -680*((-69)/6 + 11). What is the highest common divisor of v and u?", "a": "20" }, { "q": "Suppose 35*p - 1838 = -64 - 199. What is the greatest common divisor of p and 45?", "a": "45" }, { "q": "Let o(i) = -i**2 + 8*i - 10. Let q be o(4). Suppose -d - q = -10. Suppose 28 = d*s + 4. What is the greatest common factor of s and 24?", "a": "6" }, { "q": "Let m = 1729 - 490. What is the highest common divisor of 105 and m?", "a": "21" }, { "q": "Let w(r) = r**2 - 8*r - 483. Let y be w(0). Let i be (-78)/(-9)*y/(-14). What is the highest common divisor of 23 and i?", "a": "23" }, { "q": "Suppose 2117*j + 1860 = 2122*j. Calculate the greatest common divisor of j and 16.", "a": "4" }, { "q": "Suppose -44*m + 324 + 2553 = -17319. What is the highest common divisor of 34 and m?", "a": "17" }, { "q": "Let b be 3/7 - 2547/63. Let m = b + 75. Let h(g) = -30*g + 5. Let d be h(-1). What is the highest common divisor of m and d?", "a": "35" }, { "q": "Suppose 2*r - 6*r + 36 = 0. Let t(o) = -8*o**2 + 76*o + 9. Let p be t(r). Let i = 10 + 8. Calculate the highest common divisor of p and i.", "a": "9" }, { "q": "Suppose -51 + 74 = x. Let d = x + -21. What is the highest common factor of d and 2?", "a": "2" }, { "q": "Suppose 0 = -3*z + 13 + 32. Let s(t) = 15*t**2 - 2*t**3 + t**3 - 15 - 7*t**2 + 17*t - 3*t**2. Let f be s(7). What is the highest common divisor of f and z?", "a": "3" }, { "q": "Let v be (4 - 0)*13/4. Let s(l) = -35 + 30 + 33*l + 46 + 50. Let t be s(0). What is the greatest common divisor of v and t?", "a": "13" }, { "q": "Let b = 68 - 62. Let n be 38 - (b - 6) - -4. Let u be (-2)/(-4) - 110/(-4). Calculate the highest common factor of n and u.", "a": "14" }, { "q": "Let n(b) = b + 25. Let u be n(0). Let d = -23915 - -23920. Calculate the highest common factor of d and u.", "a": "5" }, { "q": "Suppose 1948 = 5*n - p, -2*n + 292 + 496 = 4*p. Let k = 48998 + -48968. What is the highest common divisor of k and n?", "a": "30" }, { "q": "Let z = -830 + 848. Suppose -15 = -3*w + 39. Calculate the highest common factor of z and w.", "a": "18" }, { "q": "Suppose -4*b + 0*u = -3*u - 224, -5*b + 5*u = -285. What is the greatest common factor of 2 and b?", "a": "1" }, { "q": "Let r = -1454 + 1485. Calculate the greatest common divisor of r and 5363.", "a": "31" }, { "q": "Suppose -530*k = -527*k - 9. Let h = 27 - k. What is the greatest common factor of 9 and h?", "a": "3" }, { "q": "Let w = -39 - -158. Suppose 1 = 3*o - w. What is the greatest common divisor of 70 and o?", "a": "10" }, { "q": "Let r be (8 + (-62)/8 + 279/12)*2. What is the greatest common factor of r and 3431?", "a": "47" }, { "q": "Let i(g) = -12*g**3 + 4*g + 2. Let j be i(-2). Let t = 97 - j. Calculate the highest common divisor of 42 and t.", "a": "7" }, { "q": "Suppose -13*d + 12529 - 3970 = -14100. Calculate the greatest common divisor of 3 and d.", "a": "3" }, { "q": "Suppose -4*t + 13*t = -3960. Let v = t - -674. Calculate the greatest common factor of 26 and v.", "a": "26" }, { "q": "Suppose -3*s + 6*s = 1116. Suppose -3*h - 54 = -5*h - 4*a, 2*h = 5*a + 72. Calculate the highest common factor of s and h.", "a": "31" }, { "q": "Let q = -4713 + 6540. Calculate the greatest common divisor of q and 126.", "a": "63" }, { "q": "Let t(c) = 2*c + 10. Let n be t(7). Let g(r) = -r**2 - 13*r - 10. Let p be g(-13). Let m = n + p. What is the highest common divisor of m and 126?", "a": "14" }, { "q": "Let v = -5495 - -7765. Calculate the highest common divisor of 30 and v.", "a": "10" }, { "q": "Suppose i - 58 + 21 = 0. Calculate the greatest common divisor of 74 and i.", "a": "37" }, { "q": "Suppose -109 = -3*w - 2*p + 6*p, -2*p = w - 43. Calculate the greatest common factor of 3 and w.", "a": "3" }, { "q": "Let c be 142/6 + 1/3. Let w(b) be the first derivative of -b**4/4 + b**2/2 - 18*b - 53. Let h be w(-3). Calculate the greatest common divisor of h and c.", "a": "6" }, { "q": "Let z = -57 - -204. Suppose 18 = -7*o + 165. Calculate the greatest common factor of o and z.", "a": "21" }, { "q": "Suppose 4*b = 2*q - 48, -5*q + 5*b + 139 = 4. What is the greatest common divisor of q and 522?", "a": "6" }, { "q": "Suppose 13*h - 3 = 14*h, 0 = 4*i - 4*h - 132. What is the highest common factor of i and 222?", "a": "6" }, { "q": "Let n be (-198)/5 - (-20)/(-50). Let c = 130 + n. Let l = -25 + 34. What is the highest common factor of l and c?", "a": "9" }, { "q": "Let n be (-2 + (-14)/(-5))/(28/210). Let y be 15/(-3) + 13*(-4 - -5). What is the greatest common factor of n and y?", "a": "2" }, { "q": "Suppose 18 = 8*d - 6*d - 2*l, 4*d + 4*l - 44 = 0. Suppose -5*s - 2*j + 0 = -15, -5 = -5*s - 4*j. What is the highest common divisor of s and d?", "a": "5" }, { "q": "Suppose 2*b - 9*b = 14*b - 1197. What is the greatest common divisor of 228 and b?", "a": "57" }, { "q": "Let p = -2719 - -2737. Calculate the highest common factor of p and 2205.", "a": "9" }, { "q": "Suppose 21*x - 74345 = 4*x + 7255. What is the highest common factor of x and 12?", "a": "12" }, { "q": "Let x(w) = 1. Let n(f) = -5*f + 20. Let v(k) = -n(k) + 4*x(k). Let g be v(5). Let i = -5 - -8. What is the highest common divisor of g and i?", "a": "3" }, { "q": "Let y(t) = 2*t + 66. Let q be y(0). Let c(f) = -7*f**3 + 2*f**2 - 1. Let n be c(1). Let z be (-22)/n*(4 + 41). What is the highest common divisor of q and z?", "a": "33" }, { "q": "Suppose -7*x - 12 = -3*g - 150, 0 = -4*x + 2*g + 80. Suppose f - 3*i = 2*f - 24, 0 = -4*f - 5*i + 103. What is the highest common factor of x and f?", "a": "9" }, { "q": "Let a be 344/5 + (-11)/(-55). Suppose -a = -3*t + 4*l, -l = 3*t - 86 + 2. Calculate the greatest common factor of 117 and t.", "a": "9" }, { "q": "Let h(z) = -20*z - 78. Let b be h(-4). Suppose b*l - 210 = -2*x, 157 + 198 = 3*x - 5*l. What is the highest common factor of x and 10?", "a": "10" }, { "q": "Let o = 22 + -12. Let z = 29 - o. Suppose -4*b + z = -21. What is the highest common divisor of b and 50?", "a": "10" }, { "q": "Let a be (132/(-30))/((-18)/720). Calculate the highest common divisor of a and 20.", "a": "4" }, { "q": "Let n(a) = -a**3 + 7*a**2 - 3*a + 5. Let u be n(5). Suppose 0 = 36*w - 33*w - 75. What is the highest common factor of w and u?", "a": "5" }, { "q": "Let a be ((-77)/88)/7 + (-3890)/(-16). Let u = -228 + a. Let y(z) = 5*z**3 + z**2 - z. Let l be y(1). Calculate the greatest common divisor of l and u.", "a": "5" }, { "q": "Suppose 58*j - 83 - 29 = 2*j. What is the greatest common factor of j and 218?", "a": "2" }, { "q": "Let z = -233 - -307. Suppose 3*g + z = 194. Calculate the greatest common factor of 16 and g.", "a": "8" }, { "q": "Suppose 58*m - 142 = -3*b + 54*m, -2*m = 5*b - 246. What is the greatest common divisor of 2675 and b?", "a": "25" }, { "q": "Let d(o) = -1482*o - 20280. Let i be d(-14). Let h = 44 + -8. What is the greatest common factor of i and h?", "a": "36" }, { "q": "Let a(r) = -r**2 + 16*r - 18. Let o(w) = w**3 - 26*w**2 + 25*w + 4. Let s be o(25). Let y be a(s). Calculate the highest common divisor of y and 10.", "a": "10" }, { "q": "Let j = 99 + -96. Let s be (-1)/(2/j)*-102. What is the highest common factor of 34 and s?", "a": "17" }, { "q": "Let l(i) = -2*i**3 - 3*i**2 - i. Let h be l(-1). Suppose 34 = -h*w + 5*w + 3*x, 4 = w + 2*x. Calculate the highest common factor of w and 56.", "a": "8" }, { "q": "Let s = -402 - -490. What is the greatest common divisor of s and 396?", "a": "44" }, { "q": "Let j be (-106)/(-6) + (-2)/(-6). Let q be -12*(4 + (-312)/j). What is the highest common divisor of q and 40?", "a": "40" }, { "q": "Let p be (-60)/7*770/(-20). What is the highest common divisor of p and 465?", "a": "15" }, { "q": "Suppose 4*w - 10 = -3*v + 7, 0 = -v - 2*w + 7. Let q be 3322/44 + v/2. What is the greatest common divisor of q and 7?", "a": "7" }, { "q": "Let u(w) = 2*w**3 - w**2 + 2*w + 4. Let d be u(3). Let k = 73 - 69. Let v(l) = l**2 - l + 10. Let c be v(k). What is the greatest common factor of d and c?", "a": "11" }, { "q": "Let h = 896 - 812. Calculate the greatest common factor of h and 564.", "a": "12" }, { "q": "Let u = -169 + 175. Calculate the greatest common factor of 22 and u.", "a": "2" }, { "q": "Let k(s) = s**3 + 5*s**2 - 16*s - 6. Let y be k(-7). Suppose -2*x + v + 431 = 0, -2*x + y*v = 5*v - 429. Calculate the highest common divisor of 24 and x.", "a": "24" }, { "q": "Suppose 53 = 3*k + i + 14, -5*k = -4*i - 82. Let o = -16 - -8. Let z = k + o. What is the greatest common divisor of 9 and z?", "a": "3" }, { "q": "Let d be (-988)/(-5) + (-60)/(-150). What is the highest common divisor of d and 418?", "a": "22" }, { "q": "Let m be 12753/(-91)*(-98)/14. What is the greatest common divisor of m and 45?", "a": "9" }, { "q": "Let p be 27 + 14 - (3 + 24). Let m(t) = -3*t**3 - 7*t - 4. Let l be m(-5). Calculate the highest common divisor of p and l.", "a": "14" }, { "q": "Let d be ((-2268)/(-810))/(2/20). Let z(s) = -s**2 - 13*s - 9. Let l be z(-10). What is the highest common divisor of d and l?", "a": "7" }, { "q": "Let r = -3 + 47. Let h be 138 - ((-2)/(-12) - r/(-24)). What is the highest common divisor of 51 and h?", "a": "17" }, { "q": "Let k be (3/6)/(2/8). Suppose 3*b - 40 = -4*x, -k*b - 2*b - 5*x = -54. Let q = -250 - -266. Calculate the greatest common divisor of b and q.", "a": "16" }, { "q": "Suppose 4290 = 3*a + 3*n, 5*n + 2860 = 14*a - 12*a. Calculate the greatest common factor of 52 and a.", "a": "26" }, { "q": "Let a(i) = 198*i**2 - 5*i + 10. Let y be a(2). Calculate the greatest common divisor of y and 54.", "a": "18" }, { "q": "Let v = 199 - 187. Suppose -2*y + 4*d = d, -v = -4*y + 3*d. What is the highest common factor of 18 and y?", "a": "6" }, { "q": "Let x be -9*6/((-6)/3). Suppose 4*w - 105 - 95 = 0. Let y = w - 32. What is the highest common divisor of x and y?", "a": "9" }, { "q": "Let t be 1*(0 - (-3)/3). Suppose -43*a + 40*a + 387 = 0. Let y = 138 - a. Calculate the greatest common divisor of y and t.", "a": "1" }, { "q": "Let p(a) = -5*a + 604. Let i be p(38). What is the highest common factor of i and 36?", "a": "18" }, { "q": "Let k(d) be the third derivative of 19/30*d**5 + 0*d - 5*d**2 - 1/6*d**3 + 1/24*d**4 + 0. Let i be k(2). Calculate the greatest common factor of i and 17.", "a": "17" }, { "q": "Suppose 0 = -7*u + 1510 + 282. What is the highest common factor of u and 544?", "a": "32" }, { "q": "Suppose 264 = 5*y - 4*u, 19*u = y + 24*u - 76. What is the highest common divisor of y and 76?", "a": "4" }, { "q": "Let j be -13 + 3 + 7 - -360. What is the highest common divisor of j and 867?", "a": "51" }, { "q": "Suppose 9876 = 5*i - 2*q, 5*i + 0*q - 9858 = -4*q. Calculate the greatest common factor of 84 and i.", "a": "42" }, { "q": "Let j(o) = 284*o**2 + 13*o + 4. Let v be j(2). What is the highest common factor of v and 106?", "a": "106" }, { "q": "Let i = 11 - 7. Suppose -r + 3 - i = 0, -5*j + 46 = -r. Let l(x) = -x**3 - x**2 - 47*x - 281. Let u be l(-5). Calculate the highest common factor of j and u.", "a": "9" }, { "q": "Suppose -550 = 181*u - 182*u. Let k = 2573 + -1783. Let x = k - u. What is the highest common divisor of 48 and x?", "a": "48" }, { "q": "Let w be 56555/15 + 6/(-18). Calculate the greatest common divisor of w and 58.", "a": "58" }, { "q": "Let f = 39 + -3. Suppose -2*a + f = 2*a. Suppose -5*b = -v - 15, -b + a = 2*b + v. What is the highest common factor of b and 1?", "a": "1" }, { "q": "Suppose 10*b + 7032 = -2*b. Let i be 6/16 - (b/16 - -5). What is the greatest common divisor of i and 2?", "a": "2" }, { "q": "Let l = 309 + -165. Let g be -2 + 38 + (-11 - -11). What is the highest common divisor of l and g?", "a": "36" }, { "q": "Let f = 290 + -474. Let m = f - -355. What is the greatest common divisor of m and 114?", "a": "57" }, { "q": "Let f = -675 + 1220. Let p = 881 - f. What is the greatest common divisor of p and 21?", "a": "21" }, { "q": "Let s be (-5 - -3 - -12)*(-1 - -3). Suppose 4*z + 3*u + 5 = 8*z, -5 = -5*u. Calculate the greatest common divisor of s and z.", "a": "2" }, { "q": "Suppose 0 = 3*o + a - 190 - 160, 4*o - 469 = a. Calculate the greatest common factor of 27 and o.", "a": "9" }, { "q": "Let n be -1*3/12 - (-3)/(-4). Let h = n - -6. Suppose 3*b + h*f = 95, 62 = 2*b + 3*f - f. What is the highest common factor of b and 10?", "a": "10" }, { "q": "Let u = 3640 - -1157. What is the greatest common divisor of u and 41?", "a": "41" }, { "q": "Suppose -34*m - 35*m + 15*m + 3078 = 0. What is the highest common divisor of 33 and m?", "a": "3" }, { "q": "Let a be (177 + 0)/(-2*1/2). Let l = -173 - a. What is the highest common divisor of 7 and l?", "a": "1" }, { "q": "Let t be ((-5)/30)/((-4)/24). Let z(n) be the first derivative of 34*n**3/3 + n**2/2 - 2*n - 1. Let x be z(t). Calculate the highest common factor of 22 and x.", "a": "11" }, { "q": "Let r be (-128)/(-6) + 30/45. Suppose 41*t - 39*t - u - 481 = 0, -5*t = -4*u - 1198. What is the greatest common divisor of r and t?", "a": "22" }, { "q": "Let q be 11/33 - 10/15*-112. What is the highest common divisor of q and 6225?", "a": "75" }, { "q": "Suppose -2*n - 3*s = -1374, 4*n - 3*s = -s + 2780. Let d be 68 + -10 + 7 + -2. Calculate the greatest common divisor of n and d.", "a": "63" }, { "q": "Suppose -2285 + 40930 = 20*v + 2805. Calculate the highest common divisor of 96 and v.", "a": "32" }, { "q": "Let z be (12/(-8))/(3/(-224)). Let f be ((-4)/14)/((-8)/z). Suppose -f*r = 2*a - 60, 2 + 6 = 2*r. Calculate the highest common divisor of 66 and a.", "a": "22" }, { "q": "Let t = -496 + 819. Let b = -1055 - -1072. What is the highest common divisor of t and b?", "a": "17" }, { "q": "Suppose 28*v = -26*v - 4*v + 1044. Suppose -4*n - 876 = 3*q - 6*q, 4*q = 4*n + 1164. What is the highest common factor of q and v?", "a": "18" }, { "q": "Let k be (-36)/12 - (-1790)/10. Let n = -26 + -29. Let t = -33 - n. What is the greatest common factor of k and t?", "a": "22" }, { "q": "Suppose -12*n + 15958 + 11690 = 0. What is the highest common divisor of n and 72?", "a": "72" }, { "q": "Let i(o) = -o**2 + 5*o - 4. Let b be i(4). Suppose b = -5*a - 2*t + 144, 0 = 4*a + t + 4*t - 105. What is the highest common divisor of 6 and a?", "a": "6" }, { "q": "Let v(g) = 5*g**3 - 3*g**2 - 9*g - 3. Let o be v(3). What is the highest common factor of 897 and o?", "a": "39" }, { "q": "Let k be 2/(-6) + 2472/(-36). Let w = 6 - k. Suppose 4*o - o = -z + w, z + 2*o = 78. What is the highest common divisor of 12 and z?", "a": "12" }, { "q": "Let r(o) = -3*o - 24. Let b be r(-11). Suppose -8 = 4*i, -f - 4*i + 13 - b = 0. Calculate the greatest common factor of 372 and f.", "a": "12" }, { "q": "Suppose 0 = 6*k + 48 - 66. Let z be k/(-6)*(-35 + -3) + 4. Calculate the greatest common divisor of 161 and z.", "a": "23" }, { "q": "Let l = 186 - 190. Let y be (4 + 18/l)/((-1)/220). Calculate the highest common divisor of y and 44.", "a": "22" }, { "q": "Let o = -79 - -89. Suppose -s + 73 = j, -o*j + 7*j - 2*s = -221. What is the highest common factor of 15 and j?", "a": "15" }, { "q": "Let m be 1/(-10) - (-2 - 27537/(-30)). Let t = -646 - m. Calculate the highest common factor of t and 10.", "a": "10" }, { "q": "Let f be 3/(-78)*-22 + 4/26. Let z(p) = 139*p + 5. Let b be z(f). What is the highest common divisor of 16 and b?", "a": "16" }, { "q": "Let w(b) = -b**2 - 19*b - 55. Let l be w(-15). Suppose 0 = -l*v + 3*g + 43 + 229, -4*g + 224 = 4*v. Calculate the greatest common factor of v and 22.", "a": "11" }, { "q": "Let i = -17 + 19. Let v be (1/1)/(i/60). Let y(f) = -11*f - 60. Let t be y(-6). What is the greatest common factor of t and v?", "a": "6" }, { "q": "Let o = 54 - -50. What is the highest common divisor of o and 182?", "a": "26" }, { "q": "Suppose -43 - 5 = -3*q. Suppose -y = r - 5, -8 = 2*r - 0*r. Suppose 3*g + 96 = y*g. What is the highest common factor of g and q?", "a": "16" }, { "q": "Let j be 25846/10 + 76/190. Calculate the greatest common divisor of j and 55.", "a": "55" }, { "q": "Let z be 4 + (-1 + 5882/2)/1. Calculate the highest common divisor of 92 and z.", "a": "92" }, { "q": "Let v(j) = -22 - 10*j - j - 11*j. Suppose 0 = 55*k + 333 + 162. Let d be v(k). What is the highest common divisor of 16 and d?", "a": "16" }, { "q": "Let r(f) = f**2 - 73*f + 158. Let s be r(71). What is the greatest common divisor of 3216 and s?", "a": "16" }, { "q": "Let g(r) = -75*r - 1011. Let w be g(-22). Calculate the greatest common factor of 18 and w.", "a": "9" }, { "q": "Let i = 3714 + -3147. What is the greatest common factor of i and 147?", "a": "21" }, { "q": "Let c be -76*(0 - 75/(-16))/((-243)/324). Calculate the greatest common factor of c and 175.", "a": "25" }, { "q": "Suppose 15029 - 11028 + 41926 = 81*f. What is the greatest common factor of f and 42?", "a": "21" }, { "q": "Let l(c) = -c**3 - 7*c**2 + c + 9. Let z be l(-5). Let s = z + 51. Suppose -s*d + 8 = 3*d. Calculate the highest common factor of 5 and d.", "a": "1" }, { "q": "Let i = -31 - -44. Let b(j) = -2 - 8 - 7*j - 5 + 24*j. Let y be b(7). Calculate the highest common factor of i and y.", "a": "13" }, { "q": "Suppose 142*q = 143*q - 6. Suppose 0 = -4*d + 93 + 3. Calculate the highest common divisor of d and q.", "a": "6" }, { "q": "Suppose -136*q - 9982 = -5*y - 140*q, -4*q - 9998 = -5*y. Calculate the greatest common divisor of 108 and y.", "a": "54" }, { "q": "Suppose 5*a + 5*d + 100 = 0, -21 = 3*a + d + 35. Let y be (39/(-26))/(((-9)/26)/(-9)). Let k = a - y. What is the highest common divisor of k and 231?", "a": "21" }, { "q": "Suppose o + 6*c = 4*c + 38, 4*c = 5*o - 246. Let j be (1*(92 + 0))/(48 - o). What is the greatest common factor of 115 and j?", "a": "23" }, { "q": "Let k = -11 + 29. Let b(d) = 8*d**2 + 65*d - 489. Let h be b(-13). What is the highest common divisor of k and h?", "a": "18" }, { "q": "Suppose 6*y - 510 - 365 - 7 = 0. What is the greatest common divisor of 238 and y?", "a": "7" }, { "q": "Let s = -120 + 365. Let l = -147 + s. Calculate the highest common divisor of l and 147.", "a": "49" }, { "q": "Let b = 78 - 80. Let k be (-945)/(-10) - (-4 + (-5)/b). What is the greatest common factor of 64 and k?", "a": "32" }, { "q": "Let n(o) = o**3 - 16*o**2 + 34*o. Let w(a) = -10*a + 124. Let g be w(11). Let s be n(g). Calculate the greatest common divisor of s and 12.", "a": "12" }, { "q": "Let t be -4 - -2 - (-114 + 0). Suppose 5*x - 4*v - 218 = -6*v, -3*v = -2*x + 91. Let a = -30 + x. What is the greatest common factor of t and a?", "a": "14" }, { "q": "Suppose 4*k = -u + 161, u - 83 = -4*k + 2*k. Let x(l) = 5*l**2 - 6*l - 6. Let i be x(-2). Calculate the highest common factor of k and i.", "a": "13" }, { "q": "Let j be ((-14)/(-28))/(2/616). Calculate the greatest common divisor of 98 and j.", "a": "14" }, { "q": "Let n = -705 + 1857. What is the highest common factor of n and 180?", "a": "36" }, { "q": "Let p(v) = -v**3 - 17*v**2 - 4*v + 198. Let w be p(-16). Let z = -4 - -7. Calculate the highest common factor of z and w.", "a": "3" }, { "q": "Let n(b) = -b**3 + 2*b**2 + 48*b + 62. Let p be n(-6). Calculate the highest common divisor of 1922 and p.", "a": "62" }, { "q": "Let k be -4*(1 + 1 - -1). Let v be k*((-80)/12 - 2). Let j = v - -8. What is the greatest common factor of 16 and j?", "a": "16" }, { "q": "Let d = -5 - -9. Suppose w - 4 = -d*a, -16 = 3*w - a - 2. Let x be 13 + -1 - 0*w/(-16). What is the greatest common divisor of x and 96?", "a": "12" }, { "q": "Suppose -50 = -20*t + 10*t. Suppose 4*m - 5*m - 2*b + t = 0, m - 7 = -b. Calculate the highest common factor of m and 81.", "a": "9" }, { "q": "Suppose -33 - 37 = 2*p. Let a = 85 - p. Let z be 344/14 + 28/(-49). What is the greatest common divisor of a and z?", "a": "24" }, { "q": "Suppose 0 = 302*g - 300*g - 6. Suppose -3*p + 4*y + 180 = 0, -3*p + 6*p - 159 = -g*y. What is the highest common divisor of 7 and p?", "a": "7" }, { "q": "Let q = 28 - 7. Let y = q - 3. Suppose -3*f + 454 = 5*j + f, -4*f + 4 = 0. What is the greatest common divisor of y and j?", "a": "18" }, { "q": "Let a be 10764/(-1326) - 3/((-102)/4). Let f(h) = 4*h**2 - h**2 + 7*h - h**2 + 32. Let m be f(a). Calculate the greatest common divisor of 13 and m.", "a": "13" }, { "q": "Let b = 283 + -261. Suppose -13 = -5*a + 7. Calculate the highest common factor of a and b.", "a": "2" }, { "q": "Let i be 7 + (-3 - -25)*((-65)/10 + 7). Suppose -h + 3*h = 2*d - 566, 2*h = -4*d + 1162. What is the highest common divisor of i and d?", "a": "18" }, { "q": "Let j be 1/10 - 91581/(-490). What is the greatest common divisor of j and 17?", "a": "17" }, { "q": "Let g(b) = 2*b**3 + 35*b**2 + 130*b - 4. Let n be g(-6). Calculate the greatest common factor of 236 and n.", "a": "4" }, { "q": "Suppose -64*g = -2*z - 66*g + 1634, g - 2 = 0. Calculate the greatest common divisor of z and 5.", "a": "5" }, { "q": "Let i = 39 - 20. Let v = i + -12. Suppose -v*r + 204 = -468. Calculate the greatest common factor of 12 and r.", "a": "12" }, { "q": "Let l = 204 + -199. Suppose 2*s + 5*x - 16 = 4, 50 = l*s + 2*x. Suppose 4*m = -i + 356, -27 = -5*m - 2*i + 415. Calculate the greatest common factor of s and m.", "a": "10" }, { "q": "Let r = 117 + -64. Let g = 646 + -169. Calculate the greatest common divisor of g and r.", "a": "53" }, { "q": "Suppose 0 = 5*x + 5*c - 2365, 2*c + 341 = x - 141. Suppose 12*p - 5*p = x. What is the greatest common divisor of 544 and p?", "a": "68" }, { "q": "Let m be 110304/81 - 10/(-45). What is the highest common factor of m and 12?", "a": "6" }, { "q": "Suppose 0*m + 14*m = 56. Suppose a - n = 8, m*a + 2*n = 3*a + 5. Calculate the greatest common divisor of 1 and a.", "a": "1" }, { "q": "Let y(x) = 609*x + 12812. Let a be y(-21). Suppose c = -3*q + 1172, -4*q + c + 814 + 751 = 0. Calculate the highest common divisor of a and q.", "a": "23" }, { "q": "Let r(j) be the first derivative of 3*j**2 + 23*j + 7. Let s be r(8). Suppose s + 379 = 6*l. What is the highest common factor of l and 30?", "a": "15" }, { "q": "Suppose -239*n = -271*n + 62720. What is the highest common divisor of 14 and n?", "a": "14" }, { "q": "Suppose 0 = 4*w - 5*g - 575, 3*g + 244 = 3*w - 182. Suppose 2*x = -2*x + 60. What is the greatest common factor of w and x?", "a": "15" }, { "q": "Let n = 1365 - 1029. What is the greatest common divisor of 210 and n?", "a": "42" }, { "q": "Let w(s) = -20*s + 5. Let d be w(0). Suppose -300 = -d*c - 5*c. Let i(l) = 4*l - 2. Let r be i(3). What is the greatest common factor of c and r?", "a": "10" }, { "q": "Let o(y) = -4*y**2 - 24*y + 7. Let a be o(-6). Let s(q) = -1 - 10 + 2*q + 0*q. Let w be s(a). Calculate the greatest common factor of w and 33.", "a": "3" }, { "q": "Suppose -3*g + 2031 = 3*f, 66*g + 669 = f + 63*g. Calculate the greatest common divisor of f and 27.", "a": "27" }, { "q": "Let i = 270 - 54. Let m = -116 - -209. Let j = -66 + m. Calculate the highest common divisor of i and j.", "a": "27" }, { "q": "Suppose 5*a = -30 + 90. Suppose -945 = -a*j + 435. What is the highest common factor of j and 46?", "a": "23" }, { "q": "Let p be -8 - ((-1 - 3 - -3) + -2). Let o be 1/(p/20) + 9. What is the highest common divisor of o and 85?", "a": "5" }, { "q": "Let j(c) = -2*c**2 - 46*c + 48. Let d be j(-21). What is the highest common divisor of d and 384?", "a": "12" }, { "q": "Let a = -688 + 697. Let v be 81/(-6)*(-8)/6. Calculate the highest common divisor of v and a.", "a": "9" }, { "q": "Suppose 2*k = -0*k + 2*w + 44, 4*w = 5*k - 110. Suppose 125 = 5*g + n, 24*g - k*g = -3*n + 63. Calculate the highest common factor of g and 88.", "a": "8" }, { "q": "Let k be 8 - 575/(-30) - (-2)/(-12). Suppose 6*h = 2*h + 8. Let v be (69/6 + h)*18. What is the highest common factor of k and v?", "a": "27" }, { "q": "Let k(u) = u**2 - 10*u + 20. Let g be k(14). Let r be -2 - (3276/7)/(-6). Calculate the greatest common factor of r and g.", "a": "76" }, { "q": "Let d be (-1)/(-1)*2*9. Suppose -2*b + 352 = -977*l + 973*l, -2*b - 4*l = -296. Calculate the highest common divisor of d and b.", "a": "18" }, { "q": "Let p be (-1)/((-203)/232*2/(-7)). Let y(j) = -2*j**2 - 2 + 0 - j + 3*j**2. Let c be y(p). Calculate the greatest common factor of 162 and c.", "a": "18" }, { "q": "Let n be 16/48 + (-982)/(-6). Calculate the highest common factor of n and 246.", "a": "82" }, { "q": "Suppose -2*d - 4*v + 74 = 0, -v + 7 = d - 5*v. Suppose -155*z + 21 = -152*z. Suppose -z*s = -399 + 21. What is the highest common divisor of s and d?", "a": "27" }, { "q": "Suppose -12 - 3 = 5*j. Let u be (2 + j)/(-1*3/12). Suppose 0 = u*q - 2 + 14, -4*q - 36 = -2*g. What is the greatest common divisor of 132 and g?", "a": "12" }, { "q": "Let a(t) = -t**2 - 3*t - 2. Let u be a(-2). Suppose u = -2*m + 13*m - 176. Calculate the highest common divisor of m and 400.", "a": "16" }, { "q": "Suppose 183*b - 72642 = 11355. What is the highest common divisor of b and 243?", "a": "27" }, { "q": "Let k(y) = 29*y + 2. Let t be k(6). Suppose -5*o + u = -669, 27*o + 4*u + 696 = 32*o. Calculate the highest common divisor of o and t.", "a": "44" }, { "q": "Let v(p) be the second derivative of p**2 - 9*p + 0 - 1/6*p**3 + 1/12*p**4. Let y be v(3). Calculate the greatest common factor of y and 64.", "a": "8" }, { "q": "Let r = 2673 - 1863. What is the greatest common divisor of 648 and r?", "a": "162" }, { "q": "Suppose 0 = -13*u + 7289 - 2639 + 6400. Calculate the greatest common factor of u and 102.", "a": "34" }, { "q": "Let v be (-40)/(-30)*(-6)/(-4). Suppose 7*d + 161 = 3*z + 3*d, v*z - 114 = 4*d. Calculate the greatest common divisor of 47 and z.", "a": "47" }, { "q": "Let a = 4481 - 4460. Let b(r) = -r**3 + 9*r**2 + 5*r - 3. Let d be b(9). What is the highest common factor of a and d?", "a": "21" }, { "q": "Let l be (-80)/3*(-342)/95. Suppose -l = 5*z - 6*z. Calculate the greatest common factor of 72 and z.", "a": "24" }, { "q": "Suppose -5*n + 40 = -5*s, 1 + 18 = 2*n + s. Let a be (-12)/(-6 - 255/(-45)). What is the greatest common divisor of a and n?", "a": "9" }, { "q": "Let x(c) = 13*c + 32. Let u be x(14). Suppose -54 + u = 4*l. Let i = -27 + l. Calculate the highest common divisor of i and 65.", "a": "13" }, { "q": "Let a = -3105 - -3633. Calculate the highest common factor of 308 and a.", "a": "44" }, { "q": "Suppose 0*s + s - 45 = -2*o, 2*o - 40 = 4*s. Suppose 14 = -a + o. Calculate the highest common factor of 24 and a.", "a": "8" }, { "q": "Suppose -2*w + 3332 = -4*c, 0 = 5*w - 3*c - 293 - 8037. What is the greatest common divisor of w and 136?", "a": "34" }, { "q": "Let i(a) = -a**2 + 158*a + 48. Let w be i(34). What is the highest common divisor of w and 104?", "a": "104" }, { "q": "Let p = -8 - -21. Suppose -126*j + 5062 + 8627 = -45*j. Calculate the greatest common divisor of p and j.", "a": "13" }, { "q": "Let b = 1343 + -1033. Let q = 80 - 230. Let x = q + b. What is the highest common factor of x and 32?", "a": "32" }, { "q": "Let y = 157 - 58. Let r = 85 - 79. Let b be (60/(-5))/r*22/(-4). Calculate the highest common divisor of b and y.", "a": "11" }, { "q": "Let b be ((-4*5)/(-1))/(21/231). Suppose 2*y = 3*y - 100. Suppose 0 = -7*u + 2*u + y. Calculate the highest common divisor of u and b.", "a": "20" }, { "q": "Let a(j) = -2*j**2 + 28*j + 32. Let l be a(14). Let t be l/4*(-10)/(-1). What is the highest common divisor of 64 and t?", "a": "16" }, { "q": "Let z(f) = 3*f**2 - 9*f + 4. Let x be 2 + 8/(2 - -2). Let a be z(x). Suppose 0 = 5*b - 4 - a. What is the highest common divisor of 44 and b?", "a": "4" }, { "q": "Let q be 4/(-8) - 151/(-2). Suppose 26*s = 31*s - q. Calculate the greatest common factor of 405 and s.", "a": "15" }, { "q": "Let g(c) = c**3 - 6*c**2 + 6*c - 1. Let m be g(4). Let f(x) = 20357*x**2 + 6*x + x - 20356*x**2. Let q be f(m). What is the highest common factor of 198 and q?", "a": "18" }, { "q": "Let u = -32 + 2. Let f = -23 - u. Calculate the highest common divisor of 7 and f.", "a": "7" }, { "q": "Let f = -21 - -34. Suppose -44 = -o - f. Suppose -3*l + o = 7. What is the highest common factor of l and 88?", "a": "8" }, { "q": "Let m = -2333 - -2448. Suppose 0 = -5*w - 10, 5*c - w - 103 - 129 = 0. Suppose -c = -s - s. What is the greatest common divisor of m and s?", "a": "23" }, { "q": "Let d(k) = 2*k**2 - 9. Let s be d(-4). Let j = s + -21. Suppose 1 - 13 = -j*u. Calculate the highest common divisor of u and 30.", "a": "6" }, { "q": "Suppose 96*x - 1296 = 84*x. What is the greatest common divisor of 144 and x?", "a": "36" }, { "q": "Suppose 5588 = 5*p + 4*n + 823, 0 = 4*p + 5*n - 3803. What is the highest common factor of 165 and p?", "a": "33" }, { "q": "Let n = 2518 + -2482. What is the greatest common factor of 36 and n?", "a": "36" }, { "q": "Let u = -3680 - -3704. Calculate the highest common factor of 2172 and u.", "a": "12" }, { "q": "Suppose 1696 = 3*y - 4*o, -5*o = 61*y - 58*y - 1660. Calculate the highest common divisor of y and 60.", "a": "20" }, { "q": "Let j be 70/945 - (-2372)/54. What is the greatest common factor of 33 and j?", "a": "11" }, { "q": "Let h(p) = p**2 + p + 120. Let x be h(0). Let k = -180 - -178. Let d be ((-495)/66)/(k/4). Calculate the greatest common factor of x and d.", "a": "15" }, { "q": "Let c be 12/(-8)*(-2)/(-1) - 0. Let y be (c - 9)*((-4)/3)/1. Calculate the greatest common factor of 28 and y.", "a": "4" }, { "q": "Let h(u) = -u**3 - 14*u**2 + 5. Let a be h(-14). Suppose 840 = 30*c - 26*c. Suppose -c = -10*m + a*m. Calculate the highest common factor of m and 21.", "a": "21" }, { "q": "Let c(l) = -428*l - 75. Let i be c(-7). Calculate the greatest common divisor of i and 254.", "a": "127" }, { "q": "Suppose 0 = 32*r - 7526 - 458 + 1296. Calculate the highest common divisor of 176 and r.", "a": "11" }, { "q": "Let d = 40 - -32. Let u be (-1)/(2/d*-3). What is the highest common factor of 24 and u?", "a": "12" }, { "q": "Let g(l) = 5*l**3 + 9*l**2 - 14*l + 18. Let o(u) = -u**3. Let w(v) = -g(v) - 6*o(v). Let n be w(9). What is the highest common divisor of 4 and n?", "a": "4" }, { "q": "Suppose 11*i + 1259 = 2271. Calculate the greatest common divisor of i and 1817.", "a": "23" }, { "q": "Let c be (-12 - -4) + 15/((-30)/(-56)). What is the greatest common factor of 580 and c?", "a": "20" }, { "q": "Let v = -739 + 757. Calculate the highest common factor of 450 and v.", "a": "18" }, { "q": "Suppose 4*c - 56 = -3*u, 2*u - 2*c - 42 = -0*u. Let k = u + -18. Let l(o) = 18*o + 114. Let i be l(-6). What is the highest common factor of k and i?", "a": "2" }, { "q": "Let z(v) = -v**2 + 5*v + 12. Let r(w) = 11*w**2 - 6*w + 2. Let x be r(2). Let a = -28 + x. Let o be z(a). What is the greatest common factor of 42 and o?", "a": "6" }, { "q": "Suppose -5*v = -31 - 69. Suppose -125*p + 2*o + 18 = -120*p, -4*o = 16. Calculate the highest common divisor of v and p.", "a": "2" }, { "q": "Suppose p - 4*i - 336 + 75 = 0, 5*i - 715 = -3*p. Suppose p*v - 224 = 244*v. What is the greatest common divisor of v and 32?", "a": "32" }, { "q": "Let x(w) = -w**2 - 18*w - 46. Let p be x(-15). Let m(f) = -162*f + 3. Let c be m(p). Calculate the highest common divisor of c and 110.", "a": "55" }, { "q": "Let w be (8/4 - -2 - 3)/(-1). Let i be ((-9)/(-36))/(w/4)*-18. What is the highest common divisor of i and 198?", "a": "18" }, { "q": "Let h(y) = 85*y**2 + 818*y - 14. Let x be h(-10). Calculate the greatest common factor of x and 90.", "a": "18" }, { "q": "Let p(i) = -7*i**2 + 14*i + 5 - 13 + 6*i**2. Let v be p(11). Let h = -104 - -114. Calculate the greatest common divisor of v and h.", "a": "5" }, { "q": "Let f = 135 - 127. Suppose 4*q - t = 201 + 86, -5*t = -5. What is the greatest common factor of q and f?", "a": "8" }, { "q": "Suppose -5*k = -4*z - 0*k + 8, k + 3 = z. Let n be -1*(-2 + (-59 - 2)). Calculate the highest common divisor of z and n.", "a": "7" }, { "q": "Let x = 11 - 8. Suppose x*g = -g + 5*g. Suppose l + 1 - 23 = g. Calculate the highest common factor of 22 and l.", "a": "22" }, { "q": "Let u be 1/3 + 415/15. Suppose -5*c + 6 = l - 44, l - u = -3*c. Calculate the greatest common factor of 121 and c.", "a": "11" }, { "q": "Let s = 4495 - 3525. Calculate the highest common factor of 50 and s.", "a": "10" }, { "q": "Let l(m) = m**2 - 2*m - 6. Let q be l(5). Let g(b) be the first derivative of b**2 + 82*b - 63. Let w be g(-5). What is the highest common divisor of q and w?", "a": "9" }, { "q": "Let b = 39 - 28. Let a = -82 - -126. What is the greatest common divisor of a and b?", "a": "11" }, { "q": "Suppose 0 = 2*b + 4*m - 160, 5*m = 4*b - 55 - 239. What is the highest common divisor of 2584 and b?", "a": "76" }, { "q": "Suppose 0*p = -5*p - 2*f + 31, 4*p + 2*f - 26 = 0. Suppose -4*w = 0, p*l - 4*l = w + 26. What is the highest common divisor of 182 and l?", "a": "26" }, { "q": "Let r(s) = -s**2 - 2*s + 10. Let o be r(-4). Let h be (-1)/(-3 + (-58)/(-19)). Let u = h - -31. Calculate the highest common divisor of u and o.", "a": "2" }, { "q": "Let m(g) = 31*g**2 + 3*g - 2*g**2 - 2 - 13*g**2 - 2*g**2. Let q be m(1). Calculate the highest common factor of 10 and q.", "a": "5" }, { "q": "Let u = 3997 - -3395. What is the highest common factor of 32 and u?", "a": "32" }, { "q": "Suppose i + 4*x = 6, -39*i - 43 = -43*i + 3*x. What is the greatest common divisor of i and 40?", "a": "10" }, { "q": "Let j(l) = -l**3 - 8*l**2 + 30*l + 6. Let w be j(-15). Suppose r = 2*f - 754, 0*f + 3*f + 5*r - w = 0. Calculate the greatest common factor of f and 29.", "a": "29" }, { "q": "Let a be (-6)/(-14)*(-22 - -29). Suppose -162 = -v + 5*w + 68, v + a*w - 206 = 0. What is the greatest common factor of v and 86?", "a": "43" }, { "q": "Let t(b) = 10*b - 84. Let g be t(9). Let r be 3045/g - (42/4)/7. What is the greatest common factor of 22 and r?", "a": "22" }, { "q": "Let s(k) = 5 + 17*k - 25*k + 11*k + 6*k**2 + k**3. Let c be s(-5). Suppose 4*v + c - 43 = 0. Calculate the greatest common divisor of v and 1.", "a": "1" }, { "q": "Suppose 156*b - 159*b = 12. Let a be b/42 - 3256/(-231). Calculate the highest common factor of a and 21.", "a": "7" }, { "q": "Suppose 74 + 126 = 5*o. Suppose -o*v + 24 = -36*v. What is the highest common factor of v and 36?", "a": "6" }, { "q": "Let g be (0 - -6)/(-1)*(-171 + 68). Calculate the highest common divisor of g and 6.", "a": "6" }, { "q": "Let u be 4/(-38) - (-36)/342. Suppose 7*a - 262 - 403 = u. Calculate the highest common divisor of a and 10.", "a": "5" }, { "q": "Suppose -134*m - 49689 = 79681 - 1063350. What is the highest common factor of 17 and m?", "a": "17" }, { "q": "Let v(w) = 31*w - 1227. Let q be v(45). Calculate the greatest common factor of q and 68.", "a": "4" }, { "q": "Let r(y) = -12*y + 7. Let p be r(0). Suppose a - 54 + 33 = 0. Calculate the greatest common divisor of a and p.", "a": "7" }, { "q": "Let w(y) = 6*y - 56. Let c be w(18). Suppose -3*x + c = -4*o - 1, -5*x = -5*o - 95. Calculate the highest common divisor of 207 and x.", "a": "23" }, { "q": "Suppose -k = h - 18, -4*h - 2*k - 522 = -598. Suppose 2 + 6 = 2*w. Calculate the greatest common divisor of h and w.", "a": "4" }, { "q": "Let n(g) = -6*g. Let q be n(-6). Let m(c) = c**2 - 2*c + 24. Let z be m(-13). Let w = -183 + z. What is the highest common divisor of q and w?", "a": "36" }, { "q": "Let s be (44/12 + 3)*-99. Let o be (2 + s/(-8))*-2. Let c = o + 250. Calculate the highest common divisor of 54 and c.", "a": "27" }, { "q": "Suppose 120 = 5*q - 5*x, -4*q = -0*q + 5*x - 78. Let j(w) = 8*w - 71. Let z be j(q). Calculate the highest common factor of 14 and z.", "a": "7" }, { "q": "Let p be (-18644)/(-14) - (-6)/21. Let x be (p/1)/(-4)*-1. Suppose 0 = 2*f + 3*t - 65, 29 + 88 = 3*f - 2*t. Calculate the highest common factor of f and x.", "a": "37" }, { "q": "Suppose -4*t = -2*q + 18 - 64, 2*t = 10. Let h(v) = v**3 + 11*v**2 - 28*v - 14. Let g be h(q). Calculate the greatest common factor of g and 66.", "a": "6" }, { "q": "Let r = -2330 - -2420. What is the highest common divisor of 210 and r?", "a": "30" }, { "q": "Let f(q) = -q**2 + 15*q + 306. Let w be f(-11). Let v = 18 + -8. Calculate the highest common divisor of w and v.", "a": "10" }, { "q": "Let n be 16/(-4) - (-3 + -1). Suppose v + 5*c = -n*c + 8, 5*c + 20 = 0. Let b = v + -14. What is the greatest common factor of 21 and b?", "a": "7" }, { "q": "Let c be (-244)/((-3)/((-66)/(-4))). Calculate the highest common divisor of c and 488.", "a": "122" }, { "q": "Let v(s) = -2*s**3 + 33*s**2 + 59*s - 75. Let c be v(18). Calculate the greatest common divisor of c and 6135.", "a": "15" }, { "q": "Let a be (-42 + 14)/(5 - 6). What is the highest common divisor of a and 5208?", "a": "28" }, { "q": "Suppose -2*u + 0*u = -2. Let w be (15/(-9))/(u/(-72)). Let l be 18 - (-11 + 14 - 0). Calculate the highest common divisor of w and l.", "a": "15" }, { "q": "Suppose 5*r + 4*k - 2*k - 763 = 0, 4*r = -4*k + 620. Let y = 231 - r. Calculate the highest common factor of y and 8.", "a": "8" }, { "q": "Let u be 14*(3/18)/((-1)/(-3)). What is the greatest common factor of 707 and u?", "a": "7" }, { "q": "Suppose 3*d = 78 + 12. Let v(u) = 33*u**2 + 6*u + 3. Let i be v(-3). Let w = 48 + i. What is the highest common factor of w and d?", "a": "30" }, { "q": "Let b(l) = 6*l**2 - 65*l + 241. Let d be b(4). Calculate the greatest common divisor of d and 3311.", "a": "77" }, { "q": "Let s = -3930 + 4166. What is the greatest common factor of s and 1593?", "a": "59" }, { "q": "Let x = -731 + 1439. Calculate the greatest common factor of 12 and x.", "a": "12" }, { "q": "Suppose z + 210 - 1637 = -3*d, z - 1903 = -4*d. What is the highest common factor of d and 1292?", "a": "68" }, { "q": "Let l be (((-176)/28)/(-11))/(1/329). What is the greatest common factor of l and 517?", "a": "47" }, { "q": "Let r(k) = -k**3 - 12*k**2 + 14*k + 90. Let n be r(-13). Calculate the greatest common factor of 287 and n.", "a": "7" }, { "q": "Let d = 1185 + -205. Calculate the greatest common factor of 280 and d.", "a": "140" }, { "q": "Let m = 2094 + -2034. What is the highest common factor of m and 40?", "a": "20" }, { "q": "Let q be 6/(0 + (-4)/344). Let p be 3/(-7) - q/28. What is the greatest common factor of p and 306?", "a": "18" }, { "q": "Suppose 0 = -a + 3*t + 3, -4*a = -4*t + 4. Let d = -1 + 2. Let o be ((-4)/a + -1)/(d/69). What is the greatest common factor of o and 23?", "a": "23" }, { "q": "Suppose 0 = -14*j + 20*j - 2364. Suppose -3*p + 5*p - j = -2*c, 2*p - 404 = -4*c. Calculate the highest common factor of 16 and p.", "a": "16" }, { "q": "Let v(l) = -l**3 + 100*l**2 - 188*l - 721. Let x be v(98). Suppose -8 = 2*i, -5*s + i + 424 = -s. Calculate the highest common factor of x and s.", "a": "21" }, { "q": "Suppose 0 = 5*j - 24*n + 21*n - 561, 0 = n - 3. Calculate the highest common divisor of j and 3648.", "a": "114" }, { "q": "Suppose 2*n + 1 - 9 = 0, -70 = -2*d - 2*n. What is the greatest common factor of 62 and d?", "a": "31" }, { "q": "Suppose 2*v - 680 = -2*p, v - 3*p - 312 - 36 = 0. What is the highest common divisor of 38 and v?", "a": "38" }, { "q": "Suppose c + 14 + 12 = 2*o, 18 = 2*o + 3*c. Let m = -48 + 50. Let i be m/(((-16)/6)/(-4)). Calculate the highest common factor of i and o.", "a": "3" }, { "q": "Let u = -128 + 164. Let g be (u/7)/((16/(-28))/(-4)). Calculate the greatest common divisor of 234 and g.", "a": "18" }, { "q": "Let a = 3959 - 3887. What is the highest common divisor of a and 1656?", "a": "72" }, { "q": "Let k = -94 + 136. Let a be (-37)/74 - (-170)/4*1. Suppose -46*t - a = -49*t. Calculate the highest common factor of t and k.", "a": "14" }, { "q": "Let c(v) = -2*v**3 + 39*v**2 - 79*v. Let z be c(17). What is the greatest common factor of z and 527?", "a": "17" }, { "q": "Let a(z) = -2*z**3 - 24*z**2 - 44*z - 128. Let g be a(-17). What is the highest common factor of g and 27?", "a": "27" }, { "q": "Suppose 2*s + 125 = 465. Let j = s + -114. Suppose 3*h - 2*u - 16 = 0, 28 = -4*h - 5*u + 80. What is the greatest common divisor of j and h?", "a": "8" }, { "q": "Suppose 48*o + 3960 = 138*o. Let d(q) = -351*q + 1. Let l be d(-1). What is the highest common factor of l and o?", "a": "44" }, { "q": "Let w = 4003 - 3665. Calculate the highest common divisor of 78 and w.", "a": "26" }, { "q": "Suppose 73*u - 5*q = 78*u - 550, 5*u - 4*q = 505. Calculate the highest common factor of 51 and u.", "a": "3" }, { "q": "Suppose -6*v = 6*v - 6*v - 558. Calculate the greatest common divisor of v and 217.", "a": "31" }, { "q": "Let b = -33 - -43. Suppose -2*q + 3*y + 46 = 0, -2*q + 4*y = b - 52. Suppose 3*d - q = 22. What is the greatest common divisor of d and 187?", "a": "17" }, { "q": "Let c be ((-24)/(-30))/((-7)/(-175)). Suppose c - 4 = -z + 5*m, -4*m = -z - 12. Calculate the highest common divisor of 12 and z.", "a": "4" }, { "q": "Suppose 38593 + 7459 = 23*v - 37898. Calculate the greatest common divisor of 50 and v.", "a": "50" }, { "q": "Suppose -36*a = b - 38*a + 1, a - 3 = -2*b. Calculate the greatest common divisor of 113 and b.", "a": "1" }, { "q": "Let h(a) = 629*a + 1282. Let n be h(-2). Let c = 16 + 14. What is the greatest common divisor of c and n?", "a": "6" }, { "q": "Let g(z) = 2*z**2 + 4*z - 21. Let y be g(-9). Suppose -67*c + 1528 - 523 = 0. Calculate the highest common factor of y and c.", "a": "15" }, { "q": "Let b be (-1 + -124 - -2)*(30 + -28). Let o = b - -421. Calculate the greatest common factor of 70 and o.", "a": "35" }, { "q": "Let x(l) = -l**3 + 11*l**2 + 5*l - 53. Let f be x(10). Let m = 5 + f. What is the highest common divisor of m and 153?", "a": "51" }, { "q": "Let b(g) = g**3 + 33*g**2 + 7*g - 195. Let h be b(-31). What is the highest common divisor of h and 10?", "a": "10" }, { "q": "Suppose 4 + 2 = 2*g. Suppose -56 = -g*f - 14. Let n = f + 14. Calculate the greatest common factor of 28 and n.", "a": "28" }, { "q": "Let h = 1787 + -1747. What is the greatest common factor of 320 and h?", "a": "40" }, { "q": "Let y(r) = -33*r**3 - r**2 - 2*r - 2. Let b be y(-4). Suppose -b = -13*q - 815. Calculate the greatest common divisor of 11 and q.", "a": "11" }, { "q": "Let o(p) = 11 - 4*p**2 - 2*p**2 + 45*p + 2*p**3 - 52*p. Let y be o(5). What is the highest common divisor of 19 and y?", "a": "19" }, { "q": "Let t be (-1 - 8)/(-2*(-6)/(-132)). Suppose 308 = 11*c + 17*c. What is the greatest common divisor of c and t?", "a": "11" }, { "q": "Let x(z) = -z**2 + 4*z + 15. Let w be x(6). Suppose -2*g = m + w*g + 20, 2*g - 5 = -3*m. Calculate the greatest common divisor of 1 and m.", "a": "1" }, { "q": "Suppose 300 = 146*s - 142*s. What is the highest common divisor of 405 and s?", "a": "15" }, { "q": "Suppose -39*n + 9360 = -13*n. Calculate the greatest common divisor of 320 and n.", "a": "40" }, { "q": "Suppose -5*r + 2*o = -640, 3*r - r - 255 = o. Let x = 58 - 48. What is the greatest common divisor of x and r?", "a": "10" }, { "q": "Let x = -108 + 116. Let c = x + 28. Calculate the greatest common divisor of c and 180.", "a": "36" }, { "q": "Let v be 6/8 + 1/4. Let c(u) = 15*u + 27. Let o(p) = 15*p + 32. Let d(r) = 7*c(r) - 6*o(r). Let g be d(v). What is the greatest common divisor of g and 6?", "a": "6" }, { "q": "Suppose 7*m + 18*m - 138598 = -21*m. What is the greatest common factor of 69 and m?", "a": "23" }, { "q": "Let k be (-9490)/(-80) - -7 - 6/(-16). Calculate the greatest common factor of 994 and k.", "a": "14" }, { "q": "Suppose -19*b + 220*b - 56876 + 5420 = 0. What is the greatest common divisor of 8 and b?", "a": "8" }, { "q": "Suppose 3*t = 3*t - 5*t. Suppose -5*z + 4*z - 3 = t, 41 = -k + 2*z. Let q = k + 59. Calculate the highest common factor of q and 24.", "a": "12" }, { "q": "Let m be ((-24)/(-15))/(-1 + (-7)/(-5)). Suppose b + a - 46 = 0, 233 = m*b + b + 4*a. Calculate the highest common divisor of b and 49.", "a": "49" }, { "q": "Suppose -2*b + 0*p = -6*p - 16, -5*p = -3*b + 28. Calculate the highest common divisor of 9229 and b.", "a": "11" }, { "q": "Let b be 46*((-2)/12 + 7194/396). What is the greatest common factor of 180 and b?", "a": "36" }, { "q": "Let c be 8/4*(6 + -2) + 2. Let a be (0 + -61)/(c/(-5) - -3). Let h = -44 - a. Calculate the greatest common factor of 187 and h.", "a": "17" }, { "q": "Let t(c) = -2*c**3 + c**2 - 3*c - 2. Let g be t(-2). Suppose -8*q = -14*q + g. Let f be (-56)/(-12)*3 + -4. What is the highest common divisor of q and f?", "a": "2" }, { "q": "Let x be (4/(-6))/2 - 63/(-27). Suppose -b = -o + x, -8*b - 4 = -3*o - 7*b. Let n be 4/14 + (-20)/(-28). What is the greatest common factor of n and o?", "a": "1" }, { "q": "Suppose 0 = 3*b, -3*h - 33 = -4*b - 201. Suppose -f = -15*f + h. What is the highest common factor of 18 and f?", "a": "2" }, { "q": "Let f = 90 - 75. Suppose 0 = -3*a + 2*t - 3*t + 18, -4*a + 24 = t. Let m be (15/a)/(1/54). Calculate the greatest common divisor of f and m.", "a": "15" }, { "q": "Let l(v) = -v**3 + 24*v**2 - 12*v - 56. Let k be l(23). Let m = 127 + k. Calculate the greatest common divisor of 12 and m.", "a": "12" }, { "q": "Let s = 32 + -32. Suppose 5*r + s*r = 2045. Suppose 3*l - r = -3*i + 68, l + 2 = 0. Calculate the highest common divisor of i and 23.", "a": "23" }, { "q": "Suppose 701 = -3*w - 2*v, 0 = 2*w + 3*v - v + 464. Let c = -153 - w. Let q be (-145)/(-7) - (-2)/7. What is the highest common divisor of c and q?", "a": "21" }, { "q": "Let b be -6 + (136/10)/(32/1520 + 0). Calculate the highest common divisor of 560 and b.", "a": "80" }, { "q": "Suppose w + 180 - 2700 = -20*w. Calculate the greatest common divisor of w and 1600.", "a": "40" }, { "q": "Let z = -532 + 379. Let r = z - -159. Calculate the greatest common divisor of r and 102.", "a": "6" }, { "q": "Let r(u) = 3*u**2 - 17*u - 34. Let j be r(-9). Suppose -4*i = -22 - j. What is the greatest common factor of i and 48?", "a": "48" }, { "q": "Suppose 56*q = 61*q - 58790 + 13955. Calculate the greatest common divisor of q and 183.", "a": "183" }, { "q": "Let z be 2*((-3)/(-12) - (-1221)/12). Calculate the greatest common divisor of z and 96.", "a": "12" }, { "q": "Suppose -i - 5*y + 138 = 2*i, -3*y + 184 = 4*i. Suppose 50*p + 92 = 54*p. Calculate the greatest common factor of p and i.", "a": "23" }, { "q": "Suppose 6832 = 4*c + 8*d, -5*c + 7562 = 2*d - 962. Calculate the greatest common factor of c and 24.", "a": "24" }, { "q": "Let z be 2920/(-10)*(-10 - -8). What is the greatest common factor of 8 and z?", "a": "8" }, { "q": "Let d(p) = -17*p + 34. Let x(w) = 19*w - 32. Let n(z) = 5*d(z) + 4*x(z). Let a be n(-10). What is the greatest common divisor of a and 33?", "a": "33" }, { "q": "Suppose -2*w - 7*w - 279 = 0. Let s = w + 27. Let t be (s/(-10) + 12/45)*24. Calculate the highest common divisor of 16 and t.", "a": "16" }, { "q": "Let i be (8/(-10))/(-2) + (-173)/(-5). Suppose 2*g - 114 + 44 = -h, -g = h - 35. What is the highest common factor of i and g?", "a": "35" }, { "q": "Suppose -3*t + 93 = 3*q, -22*t + 23*t - 124 = -4*q. Calculate the greatest common divisor of 1519 and q.", "a": "31" }, { "q": "Let q(l) = l**3 + 18*l**2 - 18*l + 27. Let v be q(-19). Suppose v*n + 6*n - 196 = 0. What is the greatest common factor of 42 and n?", "a": "14" }, { "q": "Suppose 6*n - 130 - 44 = 0. Let v(o) = -3*o + 29. Let t(c) = -2*c + 4. Let g be t(2). Let z be v(g). Calculate the highest common factor of z and n.", "a": "29" }, { "q": "Suppose 3*f - 3*o + 69 = 8*f, -5*f - 2*o + 71 = 0. Let m(q) = -q**2 + 19*q + 8. Let g be m(f). Calculate the highest common factor of 17 and g.", "a": "17" }, { "q": "Let p = 1628 - 1618. Calculate the greatest common divisor of 22 and p.", "a": "2" }, { "q": "Let g(j) = j**2 + 22*j - 303. Let d be g(-38). Calculate the greatest common factor of 183 and d.", "a": "61" }, { "q": "Let a = -79 + 35. Let l be (-8 - a)*(-2)/(-3). Calculate the greatest common divisor of 216 and l.", "a": "24" }, { "q": "Suppose 0 = -2*o + 5*n - 125 + 166, -o - n = -31. What is the highest common divisor of o and 154?", "a": "14" }, { "q": "Let x(h) = -13*h + 53. Let m = -32 - -34. Let i(r) = -6*r + 27. Let n(d) = m*x(d) - 5*i(d). Let s be n(13). What is the greatest common factor of 23 and s?", "a": "23" }, { "q": "Suppose -492 = -7*f - 9. Let w = f + 50. Calculate the highest common divisor of w and 51.", "a": "17" }, { "q": "Let p be 1/(90/282) + -3 - (-55573)/15. Calculate the greatest common divisor of p and 190.", "a": "95" }, { "q": "Suppose -5*p + 691 = 3*i, -53*i + 927 = -49*i + p. Calculate the greatest common divisor of 152 and i.", "a": "8" }, { "q": "Suppose 0 = -4*o - 1 + 9. Suppose 2*k = k - 4, -344 = -4*l - o*k. Let f(r) = 24*r + 443. Let z be f(-18). Calculate the greatest common divisor of z and l.", "a": "11" }, { "q": "Let h(x) = -2*x**2 - 25*x - 56. Let q be h(-9). Suppose q*w = 4*w + 42. Let j(o) = 71*o - 1. Let a be j(1). What is the highest common divisor of a and w?", "a": "14" }, { "q": "Let r = -88 + 148. Let a = -51 + r. Calculate the highest common divisor of 153 and a.", "a": "9" }, { "q": "Let s be 3435/916 - (-26)/8. Let b(y) = 4*y**2 - 2. Let v be b(-2). Calculate the greatest common factor of s and v.", "a": "7" }, { "q": "Let k = 63 - 45. Suppose 2*p - 4*d = -12, 4*d = 2*p - p - 4. Let v = p + k. What is the highest common factor of v and 4?", "a": "2" }, { "q": "Suppose -34 = i + 155. Let g be 33 + ((-2)/(-3))/(42/i). What is the highest common divisor of 80 and g?", "a": "10" }, { "q": "Let u(l) = 5*l + 158. Let h be u(-17). Suppose 2*y + 3*c - 4 = 0, 5*y + 2*c = 7 + 3. Suppose n - y = h. What is the greatest common factor of 30 and n?", "a": "15" }, { "q": "Let z(h) = -2*h - 23. Let q be z(-14). Suppose q*p - 114 = -9. Let g be 12/p - 177/(-21). What is the highest common divisor of g and 1?", "a": "1" }, { "q": "Let x = 942 + -890. What is the highest common factor of 702 and x?", "a": "26" }, { "q": "Suppose 5*a - 4*v - 15 = 0, -3*a + 12 = -0*a - 3*v. Let h be ((-25)/(-4) + a)*(-608)/(-114). What is the highest common factor of 238 and h?", "a": "14" }, { "q": "Let r(o) = 7*o**2 - 306*o + 1529. Let n be r(5). What is the highest common factor of 116 and n?", "a": "58" }, { "q": "Suppose 2*l + 7811 = 5*a, 123*l = 2*a + 120*l - 3120. What is the highest common factor of 3 and a?", "a": "3" }, { "q": "Let f = 62 - 46. Calculate the highest common divisor of 148 and f.", "a": "4" }, { "q": "Suppose 0 = -w + 5*g + 97, w - 190 = 2*g - 99. What is the highest common factor of 2581 and w?", "a": "29" }, { "q": "Let d(f) = 423*f**2 + 3*f - 2. Let o be d(1). Suppose -3*v = q - 162, 3*v - 78 = -5*q + 96. Calculate the greatest common divisor of o and v.", "a": "53" }, { "q": "Let i(b) = 8*b**2 - 2*b - 7. Let u be i(-7). Suppose 9*j = u + 339. Calculate the highest common divisor of j and 205.", "a": "41" }, { "q": "Suppose 176 = 5*k - 3*y - 4, 5*k + 3*y - 180 = 0. Calculate the greatest common factor of 441 and k.", "a": "9" }, { "q": "Suppose -16*f = -12*f - 4. Let n(s) = -8*s - 9. Let l(h) = 1. Let q(k) = f*n(k) + 5*l(k). Let a be q(-2). What is the highest common factor of a and 6?", "a": "6" }, { "q": "Let x = 4625 - 4400. Calculate the highest common factor of x and 18.", "a": "9" }, { "q": "Suppose -4*m + m + 6 = 5*k, 0 = 2*k + 2*m. Suppose -24 = -9*b + 5*b, -5*i = 3*b - 93. Calculate the highest common divisor of k and i.", "a": "3" }, { "q": "Let t = 2915 + -2850. Calculate the highest common factor of 520 and t.", "a": "65" }, { "q": "Suppose 10*j = -5675 + 35115. Calculate the greatest common factor of j and 23.", "a": "23" }, { "q": "Let h be (-4*(-63)/70)/(2/285). Calculate the greatest common factor of h and 81.", "a": "27" }, { "q": "Let h be 325/(-15)*546/35*-1. What is the greatest common divisor of h and 2?", "a": "2" }, { "q": "Suppose -2*b = 214*s - 215*s - 33, 0 = -b - 5*s + 33. Let f(u) = u**3 - 4*u**2 - 5*u. Let t be f(6). Calculate the highest common divisor of b and t.", "a": "6" }, { "q": "Let p(c) = -c**3 + 13*c**2 - 10*c. Let x be p(12). Let t be (10/(-30))/(3/63) + 199. Calculate the highest common factor of x and t.", "a": "24" }, { "q": "Suppose 2*q = -5*n + 2250, 0 = 3*q - 4*q. Let p(l) = 6*l + 20. Let r be p(5). What is the greatest common divisor of n and r?", "a": "50" }, { "q": "Let s = 1419 + -877. Suppose 2*d = -g + s, 25*d - 2*g = 22*d + 820. What is the highest common factor of 16 and d?", "a": "16" }, { "q": "Suppose -21*q + 39*q = 306. What is the highest common factor of q and 697?", "a": "17" }, { "q": "Let t be 4/2*((-165)/10 + -1). Let o = t - -51. What is the highest common factor of 32 and o?", "a": "16" }, { "q": "Let d = -85 + 109. Suppose 9*r + 600 = d*r. What is the greatest common factor of r and 180?", "a": "20" }, { "q": "Suppose h + 2*h - 120 = 0. Let t = 39 - h. Let u be 2 - 4 - t/((-1)/(-12)). What is the highest common factor of 110 and u?", "a": "10" }, { "q": "Let o be 1/((-1)/((-3886)/6)*(-174)/(-522)). Calculate the greatest common divisor of o and 29.", "a": "29" }, { "q": "Suppose -4*k - 4*u - 4 = 0, 2*k + 0*u - 2*u = -2. Let q be ((-473)/(-22))/(k/(-2)). Let c = q - 35. Calculate the greatest common divisor of 16 and c.", "a": "8" }, { "q": "Suppose 6*n = -x + n + 78, n = 4*x - 249. Suppose 0 = -13*v + 5*k + 354, 106 = 4*v - 24*k + 21*k. Calculate the greatest common factor of v and x.", "a": "7" }, { "q": "Suppose -78 = -2*y + 4*g, 66*y = 63*y - 4*g + 127. What is the highest common divisor of 4387 and y?", "a": "41" }, { "q": "Suppose c + o + 2*o = 8, -5*o = -c. Let p be c*((-52)/20 - -3). Suppose -n + 99 = p*n. Calculate the greatest common factor of 22 and n.", "a": "11" }, { "q": "Let y(q) = 23*q**3 - 2*q**2 + 3*q - 1. Let w be (3 - (-6 - -12)) + 4. Let h be y(w). Calculate the greatest common factor of 391 and h.", "a": "23" }, { "q": "Let j(b) be the second derivative of 5*b**3/3 + 51*b**2 - 2*b. Let c be j(-6). Calculate the highest common factor of 378 and c.", "a": "42" }, { "q": "Let u be (-12 - -15)/((-9)/(-6))*65. What is the highest common divisor of 150 and u?", "a": "10" }, { "q": "Suppose -59*a = 27*a - 35776. Calculate the greatest common factor of a and 144.", "a": "16" }, { "q": "Let w(b) = -b**2 - 69*b - 968. Let k be w(-29). What is the highest common factor of k and 180?", "a": "12" }, { "q": "Let f be 48/30*4*20/32. Let z be (2/(-4))/(2/(-188)). Let p be 3/12 + z/f. What is the highest common divisor of 12 and p?", "a": "12" }, { "q": "Let m(n) = 16*n + 358. Let y be m(-16). What is the highest common factor of 54 and y?", "a": "6" }, { "q": "Suppose 25*s - 4*y - 286 = 22*s, -458 = -5*s + 2*y. Let w = -39 - -57. Calculate the greatest common divisor of s and w.", "a": "18" }, { "q": "Let k(y) = -3*y**3 - 12*y**2 - 14*y + 43. Let c be k(-15). Calculate the highest common factor of c and 22.", "a": "22" }, { "q": "Let h be (-1125)/(-50) - ((-9)/(-2))/(-3). Calculate the greatest common factor of 4080 and h.", "a": "24" }, { "q": "Let h be 0/(8/(-12)*3). Let r(f) = 8 + h*f**2 + 1 + 0*f - 28*f - 2*f**2. Let u be r(-14). What is the highest common factor of u and 36?", "a": "9" }, { "q": "Let k be (-4 - 2)/(0 - -1). Let m be (-108)/12*(-2)/k. Let f be 19336/52 + m - 4/(-26). What is the greatest common divisor of 41 and f?", "a": "41" }, { "q": "Let i(y) = 14*y**3 + 2*y**2 - 3*y + 3. Let a be i(2). Let g(c) = 11*c**2 - 3*c + 5. Let d be g(1). What is the greatest common divisor of a and d?", "a": "13" }, { "q": "Let v be 17/7 - 48/(-84). Suppose -a - 4*q = -8*q - 119, -v*a + 3*q + 393 = 0. Calculate the greatest common factor of 15 and a.", "a": "15" }, { "q": "Let x = 187 + -184. Suppose -n + 6*d + 168 = 2*d, 531 = x*n - 3*d. What is the greatest common factor of n and 36?", "a": "36" }, { "q": "Let q(z) = 7*z**2 - 41*z + 50. Let i be q(6). What is the greatest common factor of 352 and i?", "a": "8" }, { "q": "Let l = 121 + -88. Let b be -2*l/12*(0 + -22). What is the greatest common factor of 11 and b?", "a": "11" }, { "q": "Suppose 2*b + 22 = -20*z + 21*z, 3*z + 2*b - 50 = 0. Calculate the greatest common divisor of 4302 and z.", "a": "18" }, { "q": "Suppose -1755 + 513 = -5*j + 4*z, 0 = -5*j - 3*z + 1256. Suppose x + 49 = q - 0*x, -5*q + 4*x = -j. Calculate the greatest common factor of 162 and q.", "a": "54" }, { "q": "Let m be 90 + (-7 + 4)*-2*1. Calculate the greatest common divisor of 1376 and m.", "a": "32" }, { "q": "Let y be (-210)/45*174/(-4). Let h(s) = s**3 - 21*s**2 - 46*s + 29. Let i be h(23). Calculate the greatest common factor of y and i.", "a": "29" }, { "q": "Suppose -u = -4*q - 7 - 11, 4*q = 5*u - 106. What is the greatest common factor of 583 and u?", "a": "11" }, { "q": "Suppose -2*h - 106 = -5*u - 0*h, 0 = -2*h + 4. Let r be (17138/410)/((-2)/(-10)). Calculate the greatest common divisor of r and u.", "a": "11" }, { "q": "Let f = 2297 - 2247. Calculate the greatest common divisor of f and 170.", "a": "10" }, { "q": "Let x(p) = -35*p + 84. Let v be x(-24). What is the greatest common factor of 24 and v?", "a": "12" }, { "q": "Let h(j) = j**2 + 4*j - 6. Let w be h(-7). Suppose -5*c - 1337 = -2*b - 1537, 0 = 4*b. Calculate the greatest common factor of c and w.", "a": "5" }, { "q": "Suppose -532 - 379 = -19*w + 286. What is the greatest common factor of w and 21?", "a": "21" }, { "q": "Let n(z) = -2*z**2 + 123*z - 1020. Let r be n(50). Let w be (-4)/6*-3*1. Suppose -w*y + 3*y - 13 = 0. What is the greatest common factor of y and r?", "a": "13" }, { "q": "Suppose -63*y + 80*y - 107321 = 0. Calculate the greatest common divisor of 59 and y.", "a": "59" }, { "q": "Let r be -24*(170/(-3) + 52 + -46). Calculate the greatest common divisor of 1064 and r.", "a": "152" }, { "q": "Let r = -2964 + 2977. Calculate the greatest common divisor of r and 338.", "a": "13" }, { "q": "Let d(f) = -12*f - 88. Let i be d(-13). What is the highest common divisor of i and 1615?", "a": "17" }, { "q": "Let l(m) be the first derivative of 39*m**2/2 + 4*m - 53. Let j be l(3). What is the highest common divisor of 11 and j?", "a": "11" }, { "q": "Let q(v) = -55*v**3 + 10*v + 11. Let h be q(-1). Calculate the greatest common factor of h and 742.", "a": "14" }, { "q": "Let n = -2 - -7. Let s be ((-2)/6)/(2/(-300)). Suppose -2*k = -7*k + s. Calculate the highest common divisor of k and n.", "a": "5" }, { "q": "Let w = 908 - 828. Calculate the greatest common divisor of w and 810.", "a": "10" }, { "q": "Let o(h) = 3*h - 15. Let l be o(7). Suppose -3*v + x = -8*v + 2, l = 5*v + 3*x. Let m be 2/((-2)/(-8) + v). Calculate the greatest common divisor of m and 64.", "a": "8" }, { "q": "Let n = 139 + -80. Suppose 4*k + 5*a - 2139 = 0, -813 - 258 = -2*k - 3*a. What is the greatest common divisor of n and k?", "a": "59" }, { "q": "Suppose 43*i - 47580 = -4*i + 219. What is the highest common factor of i and 9?", "a": "9" }, { "q": "Let p = 0 - -2. Let a(i) = 2 + 7*i + 3 - 4*i - 7 + i**p. Let s be a(2). What is the greatest common factor of 1 and s?", "a": "1" }, { "q": "Let a = 3128 + -3065. What is the highest common factor of 6111 and a?", "a": "63" }, { "q": "Let m = -37 + 37. Suppose m = s - 2*s - 1. Let l be 8 - (2 + (-2)/s). What is the highest common factor of 20 and l?", "a": "4" }, { "q": "Let l(j) = -j**2 + 3*j + 11. Let c(z) = z**2 + z - 1. Let h(t) = 2*c(t) + l(t). Let x be h(0). What is the highest common factor of x and 36?", "a": "9" }, { "q": "Suppose 12*d + 1416 = 16*d - 3*w, 0 = 4*d - 5*w - 1408. Calculate the highest common divisor of 833 and d.", "a": "119" }, { "q": "Let s(r) = 7*r**2 + 74*r + 144. Let x be s(-9). Calculate the highest common divisor of x and 387.", "a": "9" }, { "q": "Suppose 3 = -o + 9. Let k = -365 - -368. Calculate the highest common divisor of k and o.", "a": "3" }, { "q": "Let h(x) = -2 + 40*x + 7 - 43*x + 3*x**2. Let l be 21/49*(1 + 6). Let z be h(l). Calculate the greatest common factor of 184 and z.", "a": "23" }, { "q": "Let v(j) = 37*j**2 - 14*j - 158. Let n be v(7). What is the highest common divisor of 36 and n?", "a": "9" }, { "q": "Suppose -476 - 121 = -5*i + 4*k, -132 = -i + 5*k. Let h(f) = -f**2 + 13*f - 3. Let q be h(3). What is the highest common factor of i and q?", "a": "9" }, { "q": "Let n be (-3)/((-51)/7072)*(-3)/(-4). Let w = 11 + 13. Calculate the greatest common divisor of w and n.", "a": "24" }, { "q": "Suppose -5*d + 1098 = -1902. Calculate the highest common divisor of d and 250.", "a": "50" }, { "q": "Let z(b) = -b**2 - 187*b + 14. Let y be z(0). What is the greatest common divisor of 6 and y?", "a": "2" }, { "q": "Let j be 2/((-2)/4*-1). Suppose -11*m = -10*m - 1. Suppose 0 = -4*x - m + 5. Calculate the highest common divisor of j and x.", "a": "1" }, { "q": "Let u be 2730/110 + (864/2574 - (-2)/(-13)). What is the highest common factor of 675 and u?", "a": "25" }, { "q": "Let g(c) = -c**2 - 10*c + 2. Let i be g(-9). Let v be (32 - 43)/(2*1/(-10)). What is the greatest common factor of v and i?", "a": "11" }, { "q": "Suppose 33*m = 37*m - 4. Let c be (-2 - m)*(-8 + 8 + -35). What is the greatest common divisor of c and 70?", "a": "35" }, { "q": "Let j(y) = -217*y - 3. Let a be j(4). Let n = 103 + a. Let w = -471 - n. What is the greatest common divisor of 27 and w?", "a": "27" }, { "q": "Suppose 4*k = 5*b - 11, 20 = 4*b + 4*k + 4. Suppose -27 = -2*y - z, -y - z - b = -18. What is the highest common factor of y and 132?", "a": "12" }, { "q": "Let g be (-15)/(-10)*(484/6 + 2). Let j = g - 115. What is the highest common divisor of 45 and j?", "a": "9" }, { "q": "Suppose 5*p + 3*s = 45, -2*p + 37 = 3*s + 2*s. Let h = p - -39. Suppose 6*u + 7*u = 390. Calculate the greatest common divisor of u and h.", "a": "15" }, { "q": "Let f be 273/1 - (((-20)/(-4) - -2) + -9). Suppose 0 = -3*p - 2*l + 161, 2*p = -2*p + 3*l + 226. Calculate the greatest common divisor of p and f.", "a": "55" }, { "q": "Let v(l) = 11 + 10 - 2*l**2 + 4*l + 25*l. Let q be v(15). What is the greatest common divisor of 114 and q?", "a": "6" }, { "q": "Let k(y) = 63*y**2 - 2*y - 3. Let c be k(-2). Let p = -253 + 248. Let u = 28 + p. What is the highest common factor of u and c?", "a": "23" }, { "q": "Let t = -4 - -6. Suppose -11*r + 115 + 83 = 0. Suppose -o + 26 = 3*v - r, o - 2 = 0. What is the greatest common divisor of t and v?", "a": "2" }, { "q": "Let i = -6 - -10. Let h(o) = 0*o + 6*o**2 + 3*o + 5*o - 7*o**2 - 2*o + 3. Let j be h(i). What is the greatest common factor of j and 44?", "a": "11" }, { "q": "Suppose -2369 = 33*t - 356. Let d = t - -127. Let x = -7 + 13. What is the greatest common divisor of x and d?", "a": "6" }, { "q": "Suppose 150 = 5*m - 5*t, t - 10 - 16 = -m. Let j(l) = l + 148. Let w be j(-50). What is the greatest common factor of m and w?", "a": "14" }, { "q": "Suppose 2*d + 24*j - 5485 = 25*j, 12 = 4*j. Calculate the greatest common divisor of 16 and d.", "a": "8" }, { "q": "Suppose 4*c = -2*s + 424, -11*c = -10*c + 3*s - 111. Calculate the highest common factor of c and 915.", "a": "15" }, { "q": "Suppose 87*p + 78*p = 34*p + 72181. Calculate the greatest common factor of 145 and p.", "a": "29" }, { "q": "Let x be (-11 + 2)/9 - 4/(-2). Suppose 15*p + 9 = 18*p. Calculate the highest common factor of x and p.", "a": "1" }, { "q": "Let g(a) = a**3 + 13*a**2 - 17*a + 16. Suppose 21*t + 120 + 174 = 0. Let i be g(t). What is the highest common divisor of 2 and i?", "a": "2" }, { "q": "Let r be 3 - 0 - (20 - 20). Suppose 3*t - 3*w = 195, w - 4 = r*w. Calculate the greatest common factor of t and 9.", "a": "9" }, { "q": "Let n(j) = -3*j**2 + 114*j + 82. Let c be n(20). What is the highest common divisor of 14 and c?", "a": "14" }, { "q": "Let a be 261 + 0 + 18 + -27. Calculate the highest common divisor of a and 72.", "a": "36" }, { "q": "Suppose 0 = 79*w - 2531 - 629. Calculate the greatest common factor of w and 1180.", "a": "20" }, { "q": "Let l = -200 - -204. Suppose z = 3*n + 36, 2*z - l*n - 98 = -18. Suppose -j - 44 = -4*w, 0*w - 8 = -w + j. Calculate the greatest common factor of w and z.", "a": "12" }, { "q": "Let k(r) = 6*r**2 - 24*r - 127. Let l be k(-10). What is the greatest common divisor of l and 46?", "a": "23" }, { "q": "Suppose 24514 + 54086 = 120*a + 25200. What is the greatest common divisor of 10 and a?", "a": "5" }, { "q": "Suppose -2*r = y + 32, -3*r = -2*y + 2*r - 64. Let h = y + 42. Calculate the greatest common divisor of 170 and h.", "a": "10" }, { "q": "Suppose -38*r = -33*r - 45. Suppose r*h - 17 + 8 = 0. Let b be 1 + (-3)/(-6)*0. What is the greatest common factor of b and h?", "a": "1" }, { "q": "Let z = -109 - -206. Suppose 4*a + i - z = 0, 3*a - 6 = i + 72. What is the highest common divisor of a and 5?", "a": "5" }, { "q": "Suppose 45*p - 6886 = 8774. What is the greatest common divisor of 24 and p?", "a": "12" }, { "q": "Suppose -1115 = 5*n - 15*n + 585. What is the highest common divisor of 130 and n?", "a": "10" }, { "q": "Suppose -5*x - 269 = -3*c, -10*x + 378 = 4*c - 7*x. Calculate the highest common divisor of 310 and c.", "a": "31" }, { "q": "Suppose 4*i - 170 = -2*c, 0 = i + c - 49 + 7. Let f(w) = 1334*w - 4863. Let o be f(4). Calculate the highest common divisor of i and o.", "a": "43" }, { "q": "Suppose 13 = -271*z + 272*z. Suppose 39 = -3*q + 6*q. What is the highest common factor of q and z?", "a": "13" }, { "q": "Let j(d) = d**3 + 2*d + 1. Let u be (4/(-3))/(36/(-81)). Let t be j(u). Let o be (-255)/(-2)*(-64)/(-80). Calculate the greatest common factor of t and o.", "a": "34" }, { "q": "Suppose d = -2620 + 2705. Let c be -1 + (3 - 1) + 4. What is the greatest common divisor of c and d?", "a": "5" }, { "q": "Let q(v) = -2*v**3 - 4*v**2 + 6*v - 40. Let y be q(-5). What is the highest common factor of y and 520?", "a": "40" }, { "q": "Let c = -221 + 220. Let m(h) = 6*h**2 + 13*h + 12. Let q be m(c). What is the highest common divisor of 5 and q?", "a": "5" }, { "q": "Let z = 220 - 216. Let a = z - -22. Calculate the highest common divisor of a and 26.", "a": "26" }, { "q": "Let t(g) = 29*g + 18. Let q be t(6). Let k = 307 - q. Suppose -y + 3*y - 92 = 0. Calculate the highest common factor of k and y.", "a": "23" }, { "q": "Let w = -42 + 113. Let m = w - -75. Suppose 0 = -4*i + 4*h + 280, 3*i + 3*h = 34 + m. Calculate the highest common divisor of i and 13.", "a": "13" }, { "q": "Let d be (-3 + -104)/(1/(-13)). What is the greatest common divisor of d and 39?", "a": "13" }, { "q": "Suppose 0*a + 12*a - 720 = 0. Let x be (-36 + 0)*(-30)/12. What is the greatest common factor of x and a?", "a": "30" }, { "q": "Let u(a) = -65*a + 664. Let f be u(7). What is the highest common factor of f and 121?", "a": "11" }, { "q": "Let o(z) = z**2 - 30*z + 270. Let g be o(17). Calculate the highest common factor of g and 28.", "a": "7" }, { "q": "Suppose 18*z = 4*z + 588. What is the highest common divisor of 56 and z?", "a": "14" }, { "q": "Suppose 7*i - 5*i = -15*i + 5066. Calculate the highest common factor of i and 1639.", "a": "149" }, { "q": "Let z = 129 - 114. Let k(x) = 2*x**2 - 13*x + 26. Let u be k(13). What is the highest common factor of u and z?", "a": "15" }, { "q": "Let r = -26 + 178. Suppose 20*u = -5397 - 1263. Let y = u + 371. What is the greatest common divisor of y and r?", "a": "38" }, { "q": "Suppose 98 + 14 = 23*s - 26. Let z be (13*-1)/(-2 - -1). Let k = z - 7. Calculate the highest common divisor of s and k.", "a": "6" }, { "q": "Let z = -4626 - -4746. What is the greatest common factor of 12 and z?", "a": "12" }, { "q": "Suppose -4*j - 8 = 0, 2*a + 106*j - 107*j = 6394. What is the highest common divisor of a and 68?", "a": "68" }, { "q": "Let c(j) = 2*j**2 + 12*j + 15. Let z be c(-5). Suppose 5*g - 970 = -z*w, 4*w = g + 166 + 600. What is the greatest common factor of 12 and w?", "a": "12" }, { "q": "Let y(b) = -b**2 + 7*b + 726. Let w be y(29). What is the highest common divisor of 836 and w?", "a": "44" }, { "q": "Let x(l) = -l**3 - 20*l**2 - 72*l + 384. Let o be x(-11). Let g(p) = 29*p**3 - p**2 + 2*p - 1. Let r be g(1). Calculate the highest common divisor of o and r.", "a": "29" }, { "q": "Let j be (-39)/26*2/3. Let x be j*4*-22 - (8 + -4). What is the highest common divisor of 21 and x?", "a": "21" }, { "q": "Suppose -4*f = -0*f + b - 97, 0 = 2*b - 2. Let o be ((-16)/10)/(4/30). Let d be 1/6 + (-94)/o. Calculate the greatest common factor of f and d.", "a": "8" }, { "q": "Let l(p) = 2*p**2 + 17*p - 3. Let f be l(-9). Suppose -4*r + 574 = 454. What is the greatest common divisor of f and r?", "a": "6" }, { "q": "Suppose 6*z - 24 = 2*z. Suppose -z*j = -8*j - 5*t + 13, -10 = 5*j + 4*t. Let v be j - -62 - (2 + -1). What is the highest common divisor of v and 5?", "a": "5" }, { "q": "Suppose -d - 300 = -2*y, -159*y = -160*y + 5*d + 132. Calculate the highest common divisor of y and 4.", "a": "4" }, { "q": "Let s = 11 + -5. Suppose 2*h = 4*a + 36, -2*a - s = a. Suppose -h*w + 10 = -12*w. Calculate the greatest common factor of 1 and w.", "a": "1" }, { "q": "Suppose -3 = 7*s - 17. Suppose s*b = -5*b + 294. Calculate the greatest common factor of 28 and b.", "a": "14" }, { "q": "Let m be (4/(-6))/((-5 + -20)/300). Calculate the highest common factor of 1004 and m.", "a": "4" }, { "q": "Let v(r) = 60*r + 392. Let w be v(-5). Calculate the greatest common divisor of w and 322.", "a": "46" }, { "q": "Let g = 100 - 94. Let b be 2 + 37 - -1*3. Suppose 8*m - b = g*m. Calculate the highest common divisor of m and 21.", "a": "21" }, { "q": "Let r = 1413 + 239. What is the greatest common factor of 14 and r?", "a": "14" }, { "q": "Let l be (418 - (-56 + 34))*(-4)/(-10). Suppose -4 - 2 = -3*t. Suppose 3*y - 4*c = -9*c + 63, 4*c + 20 = t*y. Calculate the highest common divisor of y and l.", "a": "16" }, { "q": "Let q be (-8)/28 + (-4739)/49. Let y = q + 133. Suppose -4*t + 48 = 3*j, -4*j - 3*t = -2*j - 33. What is the greatest common factor of j and y?", "a": "12" }, { "q": "Let u be 4*(-5)/(-70) + 129552/112. What is the highest common factor of u and 104?", "a": "13" }, { "q": "Let h be (1 - 0) + (-30)/(-2). Let a = 62467 - 62447. What is the greatest common factor of a and h?", "a": "4" }, { "q": "Let b = 226 + -67. Suppose -163*r + b*r = -240. What is the highest common divisor of 48 and r?", "a": "12" }, { "q": "Let l = 461 - -23. Suppose 12*d - 23*d + l = 0. What is the highest common factor of 66 and d?", "a": "22" }, { "q": "Let k(m) = 43*m - 57. Let i be k(3). Suppose i + 168 = 20*w. What is the greatest common divisor of 3 and w?", "a": "3" }, { "q": "Let m = 274 + -274. Suppose 5*f - 2*t - 93 = m, -5*f - 3*t - 8 + 106 = 0. Suppose -15 = -i + 23. What is the greatest common divisor of f and i?", "a": "19" }, { "q": "Let m(g) = -1457*g - 155. Let l be m(-1). What is the greatest common factor of l and 126?", "a": "42" }, { "q": "Suppose -3*x - 70 = -3*p + 296, 2*p - 3*x = 241. Calculate the greatest common factor of 155 and p.", "a": "5" }, { "q": "Let g(x) = -x**2 + 15*x - 47. Let k be g(9). Let d be 9 - 0 - 7/k. What is the highest common factor of 20 and d?", "a": "4" }, { "q": "Let s be 4/(-2) - (-5 - -3 - 1). Let l(n) = 41*n + 3*n + 10 - 12. Let o be l(s). Calculate the highest common factor of o and 63.", "a": "21" }, { "q": "Let w = 2409 - 2327. What is the highest common divisor of 533 and w?", "a": "41" }, { "q": "Let b(k) = -16*k - 81. Let z(s) = 18*s + 82. Let a(q) = 6*b(q) + 5*z(q). Let l be a(-17). Calculate the greatest common divisor of l and 26.", "a": "26" }, { "q": "Let d(c) = c**3 + 3*c**2 - 6. Let b(j) = -j**2 + 15*j + 37. Let i be b(17). Let m be d(i). What is the highest common divisor of m and 48?", "a": "48" }, { "q": "Let j(q) = -q**3 - 11*q**2 - 5*q + 17. Let t be j(-10). Let v = t + 39. Suppose 0 = v*i + 3*i - 180. What is the highest common divisor of i and 100?", "a": "20" }, { "q": "Let g = 8980 + -8926. Let f = 142 + -70. Calculate the highest common divisor of g and f.", "a": "18" }, { "q": "Suppose 2*m - 597 = -2*m - 3*p, -4*m = 5*p - 587. Calculate the greatest common factor of m and 1989.", "a": "153" }, { "q": "Suppose 23*x = 14*x + 1206 + 4977. Calculate the highest common divisor of x and 3.", "a": "3" }, { "q": "Suppose 0 = 49*i - 3090 - 487. What is the highest common divisor of 1 and i?", "a": "1" }, { "q": "Suppose -y = 3*k - 57, 8*y - 12*y = 3*k - 201. Let x be (-3)/9*1*-27. Let d be 152/12 + (-6)/x. What is the greatest common divisor of d and y?", "a": "12" }, { "q": "Suppose 18*a - 4415 = 121. Suppose -3*i - a = -9*i. What is the greatest common factor of i and 63?", "a": "21" }, { "q": "Let m = 358 + 118. What is the greatest common factor of 17 and m?", "a": "17" }, { "q": "Let q(d) = -303*d + 165. Let g be q(0). Calculate the highest common factor of g and 957.", "a": "33" }, { "q": "Suppose w + l = 3*l - 105, 5*w = 5*l - 550. Let g = w + 129. Calculate the highest common divisor of g and 238.", "a": "14" }, { "q": "Let k(r) = -r + 1. Let p(a) = 7*a - 16. Let q(w) = -4*k(w) - p(w). Let f be q(0). Let h = 9 - -87. Calculate the greatest common divisor of f and h.", "a": "12" }, { "q": "Suppose -2*j = -3*v + 398, -v - 150 = -2*v + 5*j. Suppose 11*r = r + v. Calculate the greatest common divisor of 1 and r.", "a": "1" }, { "q": "Suppose -a + 7*a - 20956 = -7*a. What is the highest common divisor of 496 and a?", "a": "124" }, { "q": "Let l be ((-19)/(-2))/((-1)/(-2)). Suppose -4*p + 41 + l = 0. Let r(q) = 7*q**2 + 9*q + 20. Let b be r(-2). What is the greatest common factor of b and p?", "a": "15" }, { "q": "Let o = 38 - 15. Let p(x) = -x**3 + 75*x**2 - 171*x + 1917. Let v be p(73). Calculate the greatest common divisor of o and v.", "a": "23" }, { "q": "Let m(z) = -z**2 + 15*z + 5. Let q = 17 - 2. Let b be m(q). Suppose -b*x + u + 50 = 0, -2*u - 8 = -x + 2. What is the greatest common divisor of 110 and x?", "a": "10" }, { "q": "Let v(f) = 14*f - 5 + 0 - 2 + 5*f**2 + 4. Let j be v(-5). Calculate the greatest common divisor of 130 and j.", "a": "26" }, { "q": "Let v(q) = -q**3 - 5*q**2 + 4*q - 3. Let r be v(-6). Suppose -38 = -3*m + 5*h, -3*m - r*h + 10*h + 34 = 0. What is the highest common factor of m and 319?", "a": "11" }, { "q": "Let r be 2/3 - 140/(-6). Let q = 18794 + -18746. Calculate the greatest common factor of q and r.", "a": "24" }, { "q": "Let g(p) = 25*p - 20. Let v be g(2). Let i = 36 - 30. What is the highest common factor of v and i?", "a": "6" }, { "q": "Let d = -3614 - -3676. What is the highest common divisor of 1302 and d?", "a": "62" }, { "q": "Let s be (-7420)/(-18) + (-32)/144. Let x = s - 169. Suppose 0 = k - 23 - 4. What is the highest common divisor of k and x?", "a": "27" }, { "q": "Let p = 17 + -21. Let v(a) = 16*a**2 - a - 5. Let m be v(p). Let w = 369 - m. What is the highest common factor of 19 and w?", "a": "19" }, { "q": "Let z be -5*6/(-60)*28. Let k = 37 - z. Calculate the highest common divisor of 23 and k.", "a": "23" }, { "q": "Let v = -5968 - -11714. What is the highest common divisor of 34 and v?", "a": "34" }, { "q": "Let p be ((-24)/(-36))/(2/(-15)). Let g be 18/21*(-35)/p. Let z be (-685)/(-15) - 4/g. Calculate the highest common factor of z and 30.", "a": "15" }, { "q": "Let r(l) = 0*l - l + 2 + l**3 + 2*l**3 - l**2. Let o be r(2). Suppose 4*z - 82 = -2*h, 0 = -z + 8*h + 13*h - 1. Calculate the highest common divisor of o and z.", "a": "20" }, { "q": "Let f(k) = -4*k - 6. Let i be f(-2). Let p be i + 0/(-1 - -3 - 3). Suppose j + 4*s - 35 = 0, j - 1 = p*s + 4. What is the greatest common factor of j and 45?", "a": "15" }, { "q": "Let v = -951 + 1049. Calculate the highest common factor of v and 26.", "a": "2" }, { "q": "Let r be 5/2*(3 + -6)*21138/(-65). What is the highest common factor of r and 9?", "a": "9" }, { "q": "Let i be 3/(-6) - ((-15)/10)/1. Let h be i/(-2) - (-3 + (-168)/16). Calculate the highest common factor of 91 and h.", "a": "13" }, { "q": "Let g = -3905 - -3940. What is the highest common divisor of 91 and g?", "a": "7" }, { "q": "Suppose r - 14 = 1. Let d be (116/(-348))/((-2)/60). Calculate the greatest common factor of r and d.", "a": "5" }, { "q": "Let v be (-1160)/(-45) + 28/126. What is the highest common factor of 1534 and v?", "a": "26" }, { "q": "Suppose 0 = -15*f - 3*f + 33906 + 1284. Calculate the highest common factor of f and 170.", "a": "85" }, { "q": "Suppose -17*j = 4670 - 40721 - 7894. What is the greatest common factor of 110 and j?", "a": "55" }, { "q": "Let i(o) = 22*o - 675. Let z be i(40). Calculate the greatest common divisor of 20 and z.", "a": "5" }, { "q": "Suppose 29*c - 2425 = 5898. What is the highest common factor of c and 7?", "a": "7" }, { "q": "Let f be (2*6 - 2)*1. Suppose 0 = 2*o + f - 94. Let l be -6*(6 - (-114)/(-12)). What is the greatest common factor of l and o?", "a": "21" }, { "q": "Let i(q) = -77*q - 55. Let h be i(-6). Calculate the highest common factor of h and 99.", "a": "11" }, { "q": "Let x(m) = m**3 + 20*m**2 - 15*m - 75. Let i be x(-20). What is the highest common factor of i and 25?", "a": "25" }, { "q": "Let s = 1432 + -1216. Calculate the highest common factor of 1026 and s.", "a": "54" }, { "q": "Let j be (48/(-20))/(-3) + 1136/80. Calculate the greatest common factor of 405 and j.", "a": "15" }, { "q": "Let l be (-3 - -285) + 2 + 2*2. What is the highest common divisor of l and 224?", "a": "32" }, { "q": "Suppose 0 = 5*j + w - 170, -3 - 162 = -4*j + 5*w. Suppose -187 = -u - 4*z, 3*z - 2*z - 353 = -2*u. What is the highest common factor of u and j?", "a": "35" }, { "q": "Suppose -3*z + 0*z = -414. Suppose 11*t - 706 = -453. Calculate the greatest common divisor of z and t.", "a": "23" }, { "q": "Suppose 2*r - 5*u = 28, -4*u - 4 = 2*r - 14. Suppose -9 = 2*f - 5*f. Calculate the greatest common factor of r and f.", "a": "3" }, { "q": "Let o be (-2)/5 + (-754)/(-10). Let s = o - 42. Suppose q = -11*u + 8*u + 26, 6*q = -u - 31. Calculate the greatest common divisor of u and s.", "a": "11" }, { "q": "Let c be -20*(1 - (-14)/(-10)). Suppose -9*y = -491 + 131. Suppose 24*t - 19*t - y = 0. What is the highest common divisor of c and t?", "a": "8" }, { "q": "Let l = -11 + 44. Let i = -1 + l. Let x = i - 8. Calculate the highest common divisor of x and 12.", "a": "12" }, { "q": "Suppose 0 = 4*c - 2*j - 246, 23*j - 75 = -c + 19*j. Calculate the highest common divisor of c and 1071.", "a": "63" }, { "q": "Suppose -2*w + w = -22. Let g be 16 + -3 - 105/(-45)*18. Calculate the highest common divisor of w and g.", "a": "11" }, { "q": "Suppose 0 = h + 10*n - 66, -5*h + 6*h = 2*n + 102. Calculate the highest common factor of 320 and h.", "a": "32" }, { "q": "Suppose 0 = -4*y - 2414 - 646. Let t = 1104 + y. Let q = 587 - t. What is the highest common factor of q and 31?", "a": "31" }, { "q": "Let c = -80 - -52. Let j = -4 - c. Let s(q) = -2*q**3 - 4*q**2 - 13*q + 1. Let v be s(-5). What is the greatest common factor of j and v?", "a": "24" }, { "q": "Let p be (-68)/(-5) + (-8)/(-20). Suppose -5*x + l = -8, 7*x + 3*l + 12 = 10*x. Let z be (-12 + 11)/(x/(-35)). Calculate the highest common divisor of p and z.", "a": "7" }, { "q": "Suppose g - 15 = 2*d, -g + 26 - 2 = -5*d. Suppose 43*q - 41*q - 94*q + 2484 = 0. What is the greatest common divisor of q and g?", "a": "9" }, { "q": "Let s = 1097 - 971. What is the greatest common factor of 546 and s?", "a": "42" }, { "q": "Suppose -o - c - 7887 = -5*o, 4*c = -2*o + 3930. What is the greatest common factor of 81 and o?", "a": "27" }, { "q": "Let h(p) = 199*p**3 - 2*p**2 + p. Let t be h(1). Let w = t - 158. Calculate the highest common factor of 70 and w.", "a": "10" }, { "q": "Suppose 122 = 5*v + 3*n, n - 17 = -18. Let t(s) = 2*s**2 - 5*s + 18. Let d be t(-9). What is the highest common factor of v and d?", "a": "25" }, { "q": "Let l(y) = -34*y + 269. Let t be l(4). Calculate the greatest common divisor of t and 1197.", "a": "133" }, { "q": "Let u(n) = 43 + 128*n - 69*n - 63*n. Let b be u(10). Let s(h) = -h**2 + 7*h + 5. Let i be s(5). Calculate the highest common factor of i and b.", "a": "3" }, { "q": "Let g be 132/20 + 4/10. Let n = -2371 + 2434. Calculate the highest common factor of g and n.", "a": "7" }, { "q": "Let j = -50 - -50. Suppose 3*c - 38 - 2 = -5*r, j = 2*r + 3*c - 16. Calculate the highest common factor of 44 and r.", "a": "4" }, { "q": "Suppose 115 + 53 = 4*y. Suppose -5*f - 832 = -13*f. Suppose 3*a - 2*o - 528 + 211 = 0, o - f = -a. Calculate the highest common factor of y and a.", "a": "21" }, { "q": "Suppose -3*r - 4*r - 112 = 0. Let s be (12/r)/((-3)/276). Suppose 4*g = -12, 0 = -5*f + g + 2*g + 239. Calculate the highest common divisor of s and f.", "a": "23" }, { "q": "Let m be ((-144)/(-192))/(9/24). What is the highest common divisor of m and 311?", "a": "1" }, { "q": "Let q be 445/(-178) - (-26)/4. What is the greatest common divisor of q and 14?", "a": "2" }, { "q": "Let p be (-6)/3 + 0 + 4. Suppose -4*r + 3*x = 107, 2*x + p*x = -5*r - 95. Let k = 28 + r. What is the greatest common divisor of 5 and k?", "a": "5" }, { "q": "Let w = 2259 + -1987. What is the highest common divisor of w and 16?", "a": "16" }, { "q": "Let r = -3 - 8. Let i = 17 - r. Let n = -14726 - -14950. Calculate the greatest common divisor of i and n.", "a": "28" }, { "q": "Suppose 2*v = -4, 4*w - 7*w + 314 = 2*v. What is the greatest common divisor of w and 1166?", "a": "106" }, { "q": "Let x be (2 - 3) + -6 + (112 - 24). What is the highest common factor of 48 and x?", "a": "3" }, { "q": "Let i(z) = -5*z - 78. Let n be i(-15). Let d be (-139 - -1)/n + (13 - 11). What is the highest common factor of d and 48?", "a": "48" }, { "q": "Suppose 0 = 3*g - 22 - 2. Suppose 3*h + 20 = g*h. Calculate the greatest common divisor of h and 68.", "a": "4" }, { "q": "Let j(c) = -2*c + 6. Let b be j(-5). Let d = 11 + 1. Suppose -304*l = -301*l - d. Calculate the greatest common divisor of b and l.", "a": "4" }, { "q": "Let q be 0 + -5 - (47 - 517). Calculate the highest common factor of q and 60.", "a": "15" }, { "q": "Let p be 98 + (37/5 - (-56)/(-40)). What is the greatest common factor of 2652 and p?", "a": "52" }, { "q": "Let g = -1483 - -1525. Suppose -q + 3*i = -11, -4*q + 0*i + 54 = -2*i. Calculate the greatest common divisor of q and g.", "a": "14" }, { "q": "Let n(i) = i**3 + 8*i**2 - 25*i + 34. Let a be n(4). Calculate the greatest common factor of a and 162.", "a": "18" }, { "q": "Let g(l) = 86*l + 1366. Let y be g(-15). What is the greatest common factor of y and 4?", "a": "4" }, { "q": "Let m = 2062 + -1566. Calculate the greatest common divisor of 24 and m.", "a": "8" }, { "q": "Suppose 2*o + 4*a + 78 = 4*o, 172 = 3*o + 5*a. Suppose 0 = v - 4*v + 3*q + 69, -3*v - q = -o. What is the highest common divisor of 216 and v?", "a": "18" }, { "q": "Let p be 4/(-32) + 99090/144. Calculate the greatest common factor of p and 16.", "a": "16" }, { "q": "Let b = -101 + 227. Let d be (-5)/(-2)*(-476)/(-85). What is the greatest common divisor of d and b?", "a": "14" }, { "q": "Let b(l) = 3*l**2 - 2*l - 1. Let j be b(-1). Suppose 14*n - 120 = j*n. Calculate the greatest common factor of n and 42.", "a": "6" }, { "q": "Let p be (-3945)/(-4) + 400/(-320). Calculate the greatest common divisor of p and 5.", "a": "5" }, { "q": "Suppose 21*f - 43911 = 4*f. What is the greatest common factor of f and 9?", "a": "9" }, { "q": "Let p = 253 - 149. Let g = -90 + p. What is the greatest common divisor of g and 322?", "a": "14" }, { "q": "Let c = 180 - 64. Suppose 5 = d, 44 = 5*a - 4*d - c. Suppose a = 17*u - 13*u. Calculate the highest common divisor of u and 36.", "a": "9" }, { "q": "Let h(w) = -2*w**2. Let v(p) = p**3 - 28*p**2 - 18*p - 29. Let b(t) = 6*h(t) - v(t). Let s be b(17). What is the greatest common divisor of s and 23?", "a": "23" }, { "q": "Let r = 1303 - -624. What is the greatest common divisor of 205 and r?", "a": "41" }, { "q": "Let n = 105 + -50. Let d(f) = 2*f**3 - 435*f**2 - 651*f - 1281. Let w be d(219). What is the highest common factor of n and w?", "a": "11" }, { "q": "Let j(r) = 3 + 18*r + r**2 + 4 - 3 + r**2. Let y be j(-9). Suppose 2 = -y*o + 5*o. What is the highest common divisor of 1 and o?", "a": "1" }, { "q": "Let i be -7 + (750/(-15))/((-10)/25). What is the greatest common factor of i and 3717?", "a": "59" }, { "q": "Let a = 3174 + -2679. What is the greatest common factor of a and 45?", "a": "45" }, { "q": "Suppose 0 = 4*c - 8*c + 24. Suppose c - 12 = -k. Suppose 0 = k*v + v - 140. Calculate the greatest common divisor of v and 160.", "a": "20" }, { "q": "Suppose 2*c = 5*r - 16 + 2, -c + 7 = r. Suppose 0 = -0*x - c*x + 24. What is the greatest common divisor of x and 152?", "a": "8" }, { "q": "Let y = 46 - 42. Suppose 80 = 3*c + y*t, 4*c = -2*t + 52 + 68. What is the highest common factor of c and 80?", "a": "16" }, { "q": "Let y = 2906 - 2879. What is the greatest common divisor of y and 2943?", "a": "27" }, { "q": "Let s = 46 - 32. Suppose 69*l - 71*l = -532. What is the greatest common factor of l and s?", "a": "14" }, { "q": "Suppose 0 = 18*t + 45 - 649 - 1772. What is the greatest common factor of 1188 and t?", "a": "132" }, { "q": "Let b = 51 + -48. Let p be (-3 + (3 - b))*-39. Let z = p + -77. Calculate the greatest common divisor of z and 16.", "a": "8" }, { "q": "Suppose -36*a + 34*a = 2*d - 30, -5*d + 4*a + 48 = 0. Calculate the greatest common divisor of 1098 and d.", "a": "6" }, { "q": "Let l(j) = j**2 - 1024*j + 11176. Let p be l(11). Let y = 5 + -2. Suppose 4*b = y*x - b - 13, 4*b = 4*x - 28. Calculate the highest common divisor of x and p.", "a": "11" }, { "q": "Let f = 191 + -167. Suppose 11*d + f = 14*d. What is the greatest common divisor of 1 and d?", "a": "1" }, { "q": "Let a be 3 + 9/(-4 - -1) - -402. What is the highest common divisor of a and 469?", "a": "67" }, { "q": "Let p = 8451 - 5254. Calculate the greatest common factor of p and 23.", "a": "23" }, { "q": "Let a be 2 + (-10)/(-2) - -2. Let p be ((-3)/a)/(4/(-888)). Calculate the greatest common divisor of p and 2.", "a": "2" }, { "q": "Suppose -137*l - 90350 = -163*l. What is the highest common factor of 50 and l?", "a": "25" }, { "q": "Let y = 247 + -235. Suppose -313 = y*s - 865. Suppose 3*r = 5*r - 138. What is the greatest common factor of r and s?", "a": "23" }, { "q": "Let d(w) = w**3 + 10*w**2 - 2*w - 12. Let i be d(-10). Suppose 0 = -7*t + 11*t - i. Suppose 0*y = -t*y + 72. What is the highest common divisor of y and 12?", "a": "12" }, { "q": "Suppose 1056 = -266*g + 288*g. What is the greatest common factor of 408 and g?", "a": "24" }, { "q": "Let x(h) = -43*h**2 - 3*h. Let d be x(-1). Let q be 11*1 - (-5)/d*0. Calculate the highest common divisor of 44 and q.", "a": "11" }, { "q": "Let v be 5/(-20) - (-217)/4. Suppose -5*o - 2*h - h = -48, -2*h + 38 = 4*o. Suppose o*r + 35 = 197. Calculate the highest common factor of v and r.", "a": "18" }, { "q": "Let o be (183 - 5) + (-3 - 1). What is the highest common divisor of 1218 and o?", "a": "174" }, { "q": "Let c(y) be the first derivative of -12 + 2/3*y**3 - 4*y**2 + 0*y. Let g be c(7). What is the greatest common factor of 105 and g?", "a": "21" }, { "q": "Let a be (57/(-5) - -1)*(-675)/90. Suppose -190 = -4*r - a. Calculate the highest common divisor of 126 and r.", "a": "14" }, { "q": "Let z = -56 + 81. Let m = 2190 + -2175. What is the greatest common factor of m and z?", "a": "5" }, { "q": "Let p be -1*4 - (-24)/6*(-1624)/(-4). Calculate the greatest common factor of p and 10.", "a": "10" }, { "q": "Suppose 0 = -78*o + 75*o + 234. Calculate the greatest common divisor of 416 and o.", "a": "26" }, { "q": "Let k = -47 - -73. Suppose -3*b = k - 113. Calculate the greatest common divisor of b and 58.", "a": "29" }, { "q": "Let a = 156 + -110. Suppose 5*p + 7 = -23. Let o = a + p. Calculate the greatest common factor of o and 5.", "a": "5" }, { "q": "Let w be 282 + (-1 - -1 - 1). Suppose 0 = -4*s + y - 318, -88*s - 156 = -86*s + y. Let d = w - s. What is the greatest common factor of d and 45?", "a": "45" }, { "q": "Suppose -27*b - 24*b = 62*b - 17176. Calculate the highest common divisor of 589 and b.", "a": "19" }, { "q": "Let d be ((-6)/4)/(3/8). Let l = -138 + 140. Let m be (l + d/3)/(2/6). Calculate the greatest common factor of m and 18.", "a": "2" }, { "q": "Suppose 2*c = 3*s + 21, 5*c + 2*s - 3*s = 46. Let h(x) = 3*x**2 - 29*x - 32. Let p be h(14). Let n = 151 - p. What is the highest common divisor of c and n?", "a": "1" }, { "q": "Suppose 5*o - 4*j = 1060, -24*o + 3*j - 1025 = -29*o. Calculate the highest common divisor of 3016 and o.", "a": "104" }, { "q": "Let b be (-2)/((-8)/12) + 1. Suppose b*l - 170 = -10. Suppose -5*u = -u - l. Calculate the greatest common factor of u and 4.", "a": "2" }, { "q": "Let l(q) = -3*q**3 - 23*q**2 + 3*q - 20. Let r be l(-10). Calculate the highest common factor of r and 100.", "a": "50" }, { "q": "Suppose -18 + 2 = -3*c + 2*o, 4*c + 2*o + 2 = 0. Suppose 3*k + 5*b - 26 - 87 = 0, -b + 85 = 3*k. Calculate the highest common factor of k and c.", "a": "2" }, { "q": "Let w(j) = -45*j + 7. Let y(z) = -2*z. Let v(t) = w(t) - 5*y(t). Let f be v(-5). What is the highest common factor of f and 13?", "a": "13" }, { "q": "Suppose 3*c = 3*i - 51, -6*i = -4*i - 5*c - 28. Suppose 4*u + 683 = 83. Let r = u + 321. What is the greatest common factor of r and i?", "a": "19" }, { "q": "Let q = 4 - -3. Suppose 466 + 318 = q*n. Suppose -2*j + 0*j + 16 = 4*v, -5*j + 2*v + 76 = 0. What is the highest common factor of j and n?", "a": "14" }, { "q": "Let l(j) = j**3 + 9*j**2 + 9*j + 2. Let g be l(-6). Let d = -6 + -14. Let a = d - -48. What is the highest common factor of a and g?", "a": "28" }, { "q": "Let g(t) = 2*t**2 + t - 1. Let j be g(1). Suppose j*d + 44 = 6*d. Let x be (-3 - 14/(-6))*(-23)/(-46)*-3. What is the greatest common divisor of x and d?", "a": "1" }, { "q": "Let r(t) = 245*t - 159. Let f be r(3). What is the greatest common factor of 180 and f?", "a": "36" }, { "q": "Suppose -6*j + 13 = -5*j. Let o = j + 0. Let x be 318/1 - (o + -14). Calculate the highest common factor of x and 29.", "a": "29" }, { "q": "Let o be 84524/13 - 2 - (-21)/(5460/40). What is the highest common divisor of 20 and o?", "a": "20" }, { "q": "Let w(k) = 3*k**3 - 12*k**2 + 39*k + 29. Let r be w(9). Calculate the greatest common divisor of 55 and r.", "a": "55" }, { "q": "Let x be (36/21 - 2)*-14. Suppose -2*p - 5*t + 11 = -14, 105 = x*p - t. Calculate the highest common factor of 75 and p.", "a": "25" }, { "q": "Let q = 713 + -425. Let w = q + -88. Suppose 8*x = 4*x + w. Calculate the greatest common divisor of 20 and x.", "a": "10" }, { "q": "Suppose 1261 = 28*d + 141. What is the greatest common factor of 5000 and d?", "a": "40" }, { "q": "Let a(h) = 131 - 14*h - 124 + 8*h. Suppose -3*q = 4 + 11. Let f be a(q). Calculate the greatest common divisor of 259 and f.", "a": "37" }, { "q": "Let g(c) = c - 9. Let y be g(6). Let d be ((-9)/(-4))/(y/(-8)). Let w be ((-55)/4 - -16)*16/6. What is the greatest common divisor of d and w?", "a": "6" }, { "q": "Let t be (-7648)/1673*((-7)/2)/1. What is the highest common divisor of t and 204?", "a": "4" }, { "q": "Let g(o) = -6*o + 21. Let k be g(-6). Suppose -3*m - 4*p + 93 + k = 0, 50 = m - 4*p. Calculate the highest common factor of 400 and m.", "a": "50" }, { "q": "Let g be -3 + 6/4 + (-86)/(-4). Suppose -22*b = -13*b - 45. Calculate the greatest common factor of g and b.", "a": "5" }, { "q": "Suppose k + 4*s - 35 = 0, -10*k + 5*s = -8*k - 5. Calculate the highest common factor of k and 1605.", "a": "15" }, { "q": "Suppose -26*q - 1617 = -2*p - 27*q, 0 = -2*p + 4*q + 1592. What is the greatest common factor of 155 and p?", "a": "31" }, { "q": "Let a be 5*(-2 - 534/(-15)). Suppose 0 = -5*f + 16 - 21. Let u be ((-24)/16 + f/(-2))*-21. What is the greatest common factor of u and a?", "a": "21" }, { "q": "Let b be ((-57)/(-114))/((-3)/(-1080)). What is the greatest common divisor of b and 40?", "a": "20" }, { "q": "Let j(i) = -2*i**3 - 51*i**2 - 33*i - 8. Let g be j(-25). What is the highest common divisor of g and 1216?", "a": "64" }, { "q": "Suppose 2*m = -4*h + 124, -3*m + 31*h - 28*h = -177. Let x = 15 + 6. Suppose -20*f - m = -x*f. What is the highest common factor of 6 and f?", "a": "6" }, { "q": "Let o be (8 - 1)*12/14. Suppose -64*d - 2439 = -3335. Calculate the greatest common factor of o and d.", "a": "2" }, { "q": "Suppose -3 + 4 = w, 5*f + 3*w - 7983 = 0. What is the greatest common divisor of f and 252?", "a": "84" }, { "q": "Suppose -4*p = -0*p. Suppose p = h - 4*h + 168. Let k be (-44)/3*(-972)/1782. Calculate the highest common factor of h and k.", "a": "8" }, { "q": "Let l = 36 + -16. Let i = -63 + l. Let w be (i + -2)/((-3)/9). Calculate the greatest common divisor of w and 15.", "a": "15" }, { "q": "Suppose o + 3*o = 12. Let h be -6*(0 - o/6). Suppose 19 = 3*f + h*r - 17, 20 = f - r. What is the highest common factor of 80 and f?", "a": "16" }, { "q": "Let u = 17 - 46. Let o = -36 - u. Let k be -2 + o/((-21)/666). What is the greatest common factor of k and 20?", "a": "20" }, { "q": "Let y = 41 - -11. Suppose 0 = 3*i - 3*h - 387, 289 = 2*i + 5*h + y. Suppose -14 = -0*l - l. Calculate the highest common divisor of i and l.", "a": "14" }, { "q": "Suppose 5*m - 15 = -y, -15*y = -11*y - m - 81. What is the greatest common divisor of y and 2960?", "a": "20" }, { "q": "Let z(t) = -t**2 - 15*t + 12. Let f be z(-13). Let u be f/133 + 2*(-82)/(-14). Let m = 30 - u. What is the highest common factor of m and 162?", "a": "18" }, { "q": "Suppose b - 177 - 53 = -4*w, -5*b + 5*w = -1275. Calculate the highest common factor of b and 10.", "a": "10" }, { "q": "Suppose 4*s = 16*s + 17308 - 47500. Calculate the highest common factor of s and 68.", "a": "68" }, { "q": "Let r be (51 + -4 - 0) + (-8 - -9). Calculate the greatest common factor of 2416 and r.", "a": "16" }, { "q": "Let o(y) = -y**3 - 4*y**2 + 6*y + 10. Let i be o(-5). Suppose 5*r - 845 = 4*v, v + i = -0*v. Calculate the highest common factor of r and 33.", "a": "33" }, { "q": "Let r = 459 - 340. What is the highest common factor of 34 and r?", "a": "17" }, { "q": "Let s(h) = 4*h**2 - 48. Let x be s(-6). Calculate the highest common divisor of x and 1368.", "a": "24" }, { "q": "Let a = -9 + 9. Suppose 0 = 2*l + 5*y - 84, a*l + y + 126 = 3*l. What is the greatest common divisor of l and 147?", "a": "21" }, { "q": "Suppose 0 = 16*u - 33*u + 8602. Calculate the highest common divisor of 46 and u.", "a": "46" }, { "q": "Let p = 49 - 43. Suppose 44 = -2*y + p*y. Let j(n) = -n**2 - 13*n + 4. Let b be j(-8). Calculate the highest common factor of b and y.", "a": "11" }, { "q": "Suppose -y - 1 = v, -3*y + 10 = -y - 2*v. Let n = -67 + 43. Let b = n - -25. What is the highest common divisor of b and y?", "a": "1" }, { "q": "Suppose l = 3*l - 270. Let j = l + -30. Let d(w) = 2*w**3 + 12*w**2 - 17*w - 93. Let c be d(-5). What is the highest common factor of c and j?", "a": "21" }, { "q": "Let q = 42 + -38. Suppose -4*f - 4*u = f - 36, -5*u + 27 = q*f. Suppose 0 = -2*i + 3*i - f. What is the greatest common divisor of 12 and i?", "a": "4" }, { "q": "Let b = 141 - -51. Suppose -3*g + 3*a + 132 = 0, 5*g = -16*a + 14*a + b. Suppose 0*r - r + 440 = 0. What is the highest common factor of g and r?", "a": "40" }, { "q": "Let x = 8 - -19. Let l = -11 - -13. Suppose b = 2*f + 37, 3*b - l*b = 4*f + 47. Calculate the highest common factor of b and x.", "a": "27" }, { "q": "Let g(b) = 315*b - 180. Let p be g(5). What is the highest common divisor of p and 5?", "a": "5" }, { "q": "Suppose -u + 56 = -5*y + 41, -5*y + 85 = 4*u. Suppose -2*h - 9 = -5*h. Suppose 0 = -h*b + b + 160. What is the greatest common divisor of u and b?", "a": "20" }, { "q": "Let c be ((-15)/1 + 1)/2. Let o(p) = -43*p + 5. Let i be o(c). Suppose 4*m + 2*m - i = 0. What is the highest common factor of 34 and m?", "a": "17" }, { "q": "Let g = 231 - 231. Suppose 10 = 3*r + s, 4*r + g*r - 7 = 5*s. What is the greatest common factor of 15 and r?", "a": "3" }, { "q": "Let k = -109 + 23. Let m = 90 + k. What is the highest common factor of m and 52?", "a": "4" }, { "q": "Suppose -85 = 2*i - 5*i - 5*b, -2*i = -b - 74. Suppose 4*p + 5*q - 84 = 0, -136*p - 63 = -139*p + 3*q. Calculate the greatest common divisor of p and i.", "a": "7" }, { "q": "Let w(j) = 19*j + 132. Let a be w(0). Calculate the highest common factor of a and 252.", "a": "12" }, { "q": "Suppose -14*i - i + 2511 = 16*i. Calculate the highest common factor of i and 3267.", "a": "27" }, { "q": "Suppose 15*v - 16*v = -5. Suppose f - 1137 = -3*j, v*j - 2572 = -2*f - 678. What is the highest common divisor of j and 19?", "a": "19" }, { "q": "Let a be (-7)/119 + 156780/102. Calculate the greatest common divisor of a and 159.", "a": "53" }, { "q": "Let b(j) = 6*j**3 - 2*j**2 - 7*j + 7. Suppose 0 = 6*z - 7 - 17. Let w be b(z). Let y = w - 231. What is the highest common divisor of 20 and y?", "a": "20" }, { "q": "Suppose 7*i - 66 = 5*f + 3*i, 0 = 3*f - i + 41. Let v be f/(-84) + 519/18. Let u be 0 - (-3 - -2)*29. What is the greatest common divisor of v and u?", "a": "29" }, { "q": "Let r = -3526 - -3733. What is the highest common factor of r and 598?", "a": "23" }, { "q": "Let b(u) = -17*u + 73. Let t be b(4). Suppose 0 = 2*w + 3*o - t*o - 222, -3*w - o + 321 = 0. Calculate the highest common factor of 81 and w.", "a": "27" }, { "q": "Let y(c) = -c**2 - 20*c - 17. Let l be y(-19). Let m be ((-8)/3)/(-2) + l/3. Suppose 0 = 2*z + 10 - 18. What is the greatest common factor of z and m?", "a": "2" }, { "q": "Let n be (-1 - -3)*(2 + ((-6450)/3)/(-5)). What is the greatest common divisor of n and 36?", "a": "36" }, { "q": "Let p = -228 + 384. Let c = -153 + p. Let y be 1/(-2)*0 + 33. What is the greatest common factor of c and y?", "a": "3" }, { "q": "Suppose -8*f + f = -2142. Let q = f + -154. What is the greatest common divisor of q and 16?", "a": "8" }, { "q": "Let s(t) = -t**3 + 10*t**2 + 4*t + 36. Suppose 7*a + 3*a = 90. Let d be s(a). Calculate the greatest common divisor of 17 and d.", "a": "17" }, { "q": "Suppose -d = 0, -2*d - 624 = j - 5640. Calculate the greatest common factor of j and 176.", "a": "88" }, { "q": "Let j = 18 + -25. Let u be (-118)/j - (-10)/70. Suppose -u*z = -13*z - 84. What is the greatest common divisor of 63 and z?", "a": "21" }, { "q": "Let j(h) = 1239*h**3 + 5*h**2 + 6*h - 10. Let n be j(1). What is the highest common divisor of n and 4?", "a": "4" }, { "q": "Suppose 3*u - 11*u - 14 = -62. What is the highest common factor of u and 822?", "a": "6" }, { "q": "Let m be (-7 - 1)*(-268)/(-3)*(-10251)/816. Calculate the greatest common factor of m and 134.", "a": "134" }, { "q": "Let i be 5*(2 - 18/10). Let s be (8 - 0)*(282/24 - i). Let u = s - 29. Calculate the highest common divisor of 38 and u.", "a": "19" }, { "q": "Let s = 2317 + -2207. Calculate the greatest common factor of s and 242.", "a": "22" }, { "q": "Let o be (14 - (1 - 2))*(-170)/15. Let c be o/(-30) - ((-10)/(-6))/(-5). Calculate the highest common divisor of c and 9.", "a": "3" }, { "q": "Let j = 1158 - 1131. Calculate the highest common factor of j and 72.", "a": "9" }, { "q": "Suppose -k - 7 = -27. Let s(q) = -16*q + 1. Let i be s(-9). Let n = i - -75. Calculate the highest common factor of n and k.", "a": "20" }, { "q": "Suppose 67*z - 33*z = 23256. What is the highest common divisor of z and 27?", "a": "9" }, { "q": "Suppose 914*x - 908*x = 36. Suppose x*j - 569 = -107. Let q(z) = 2*z**2 - 3*z - 2. Let g be q(3). What is the greatest common divisor of g and j?", "a": "7" }, { "q": "Let v = -93 - -35. Let b = -23 - v. Calculate the highest common factor of 210 and b.", "a": "35" }, { "q": "Suppose 3*d = 3, -14*j - 5*d = -12*j - 549. Calculate the greatest common factor of j and 104.", "a": "8" }, { "q": "Let y = 2421 + -1985. What is the greatest common divisor of y and 1417?", "a": "109" }, { "q": "Suppose 0 = 7*t - 2961 + 553. Let q be (-5)/5*(-46 + 3). Calculate the highest common factor of t and q.", "a": "43" }, { "q": "Suppose -3*h = 4*d - 55, -d - 3*h + 14 + 11 = 0. Suppose 0 = d*v - 3*v + 210. Let m = v - -114. Calculate the greatest common divisor of m and 56.", "a": "28" }, { "q": "Let o be ((-1302)/35)/((-6)/40). Let a be 203/2 - (-2)/(2 + -6). Suppose 0 = q + c - 27, -4*q + 27 = -c - a. What is the greatest common divisor of q and o?", "a": "31" }, { "q": "Let s(t) = t**3 - 3*t**2 - 5*t + 4. Let f be s(4). Suppose f = -17*g + 497 + 540. Calculate the greatest common divisor of 61 and g.", "a": "61" }, { "q": "Suppose 2*y - 79 = -3*j + 55, 4*y + 128 = 3*j. Suppose 5*p + 3*w = -w + 216, 0 = 4*w + 4. Let f = -33 + p. What is the greatest common factor of j and f?", "a": "11" }, { "q": "Let y(p) = p - 1. Let o be y(1). Let d be o*(1 + 6/(-9)). Suppose d = -0*v + 3*v - s - 32, 3*s = -2*v + 36. What is the greatest common divisor of 30 and v?", "a": "6" }, { "q": "Let h = 85 - -14. Suppose 34*m - 2*o = 37*m - 23, -3*m - 5*o = -17. Calculate the highest common factor of h and m.", "a": "9" }, { "q": "Let r be 23353/132 + 2/24. Calculate the highest common divisor of r and 3.", "a": "3" }, { "q": "Suppose 19*t - 1405 = -12*t + 114. What is the highest common divisor of t and 1323?", "a": "49" }, { "q": "Let a be (-1*1*-1)/1. Let q(z) be the third derivative of -z**4/3 - 53*z**3/6 - 110*z**2. Let r be q(-7). What is the highest common factor of r and a?", "a": "1" }, { "q": "Let z(i) = -i + 1. Let k be z(0). Let m(a) = -4*a - 51. Let v be m(6). Let s = 86 + v. Calculate the highest common divisor of s and k.", "a": "1" }, { "q": "Suppose -300*k + 306*k + 36 = 0. Let x be 9/((-45)/(-1675)) + k/(-2). What is the greatest common factor of x and 26?", "a": "26" }, { "q": "Let q be -1 - (0/(-1) + -4). Let a be (-5 + 14 + q)*2/(-4). Let z be (17*-1)/(a/66). What is the highest common divisor of z and 17?", "a": "17" }, { "q": "Let y be ((3444/8)/(-3))/((-2)/4). Let b be (18/(-72))/((-2)/328). What is the greatest common factor of y and b?", "a": "41" }, { "q": "Let l(n) = -52*n + 19. Let j be l(-5). Let f = j + -147. Suppose 4*i = 9*i - 60. What is the highest common divisor of f and i?", "a": "12" }, { "q": "Suppose 49*q = 44*q. Suppose -55*h + 44*h + 330 = q. Let j = 3 - 0. Calculate the highest common factor of h and j.", "a": "3" }, { "q": "Let x = -1320 + 2194. What is the greatest common divisor of 38 and x?", "a": "38" }, { "q": "Suppose 0 = -2*l - 2*j + 4, 8*l = 5*l + 4*j + 6. Suppose l*q - 2 = 8. Let x be (3/6)/(1/4). Calculate the greatest common factor of q and x.", "a": "1" }, { "q": "Let a = 5525 - 4249. Calculate the greatest common divisor of 88 and a.", "a": "44" }, { "q": "Let b(g) be the first derivative of g**3/3 + 3*g**2 + 36*g - 1. Let s be b(-11). Calculate the greatest common factor of 13 and s.", "a": "13" }, { "q": "Suppose 121 = f - w, -4*f - 181*w = -186*w - 480. What is the highest common divisor of f and 275?", "a": "25" }, { "q": "Let d(m) = -m**3 + m**2 - 2*m - 16. Let f be d(5). Let i be (-1 + -17)/(f/588). What is the highest common factor of i and 24?", "a": "12" }, { "q": "Let h be (-6)/8*((-196)/21)/(-7)*-120. What is the greatest common factor of 520 and h?", "a": "40" }, { "q": "Let l(q) = q**2 - 13*q - 183. Let i be l(27). What is the highest common divisor of 15 and i?", "a": "15" }, { "q": "Let l be (-4)/((-20)/(-25)) + -174. Let q = l - -187. What is the highest common divisor of q and 72?", "a": "8" }, { "q": "Let a(j) = 0*j + 3*j + 10*j**2 - 2*j**3 + 6 - 10 + 0*j. Let k be a(5). Calculate the highest common divisor of 176 and k.", "a": "11" }, { "q": "Let x(k) = 3*k - 78. Let u be x(30). Suppose -12*y + 24 = u. What is the highest common factor of 1 and y?", "a": "1" }, { "q": "Let x be 256/(-44) - (-8)/(-44). Let v be x/(-4)*110/3. Let n be (88/(-40))/((-2)/10). Calculate the highest common factor of v and n.", "a": "11" }, { "q": "Let w = 80 - 16. Let g be (1 - 2)*-2*(w + 2). Let u = -9 + 21. Calculate the greatest common divisor of g and u.", "a": "12" }, { "q": "Let i = -1833 + 1949. What is the highest common factor of i and 8236?", "a": "116" }, { "q": "Suppose 0 = 96*v - 95*v + 22. Let r be v*((-8)/16)/((-3)/(-3)). What is the highest common factor of r and 1?", "a": "1" }, { "q": "Suppose 0 = -3*v + 8*v - 30. Suppose -v*f = -12*f - 18. Let o be (2 - f) + -1 - -10. What is the highest common divisor of o and 21?", "a": "7" }, { "q": "Suppose 9 = -4*h + 25. Suppose h*c - 5 = 7, s - 157 = c. Let i be (s/6)/(-4)*-18*1. What is the greatest common divisor of 24 and i?", "a": "24" }, { "q": "Let u(z) = -3*z**3 - 20*z**2 - 23*z - 74. Let d be u(-8). What is the highest common divisor of 24 and d?", "a": "6" }, { "q": "Suppose 30*m = 37*m - 21. Suppose -l + 74 = 3*t, -m*l + 125 = 5*t - l. What is the greatest common divisor of t and 46?", "a": "23" }, { "q": "Let r(c) = c**3 + 14*c**2 - 18*c - 58. Let p be r(-8). Let q = -22 + 69. What is the highest common factor of q and p?", "a": "47" }, { "q": "Let o(k) = 31*k**2 + 1. Let l be o(-1). Let t be 8 + 28*(-11)/44. What is the highest common divisor of l and t?", "a": "1" }, { "q": "Let c be ((-4)/(-8))/((-1)/(-46)). Let q be 868*6*4/16. Suppose 106 - q = -13*w. Calculate the greatest common factor of w and c.", "a": "23" }, { "q": "Suppose 2*k - 155 = -5*c - 525, 3*c - 4*k = -196. Let z be (c/180)/((-2)/20). Calculate the greatest common divisor of z and 10.", "a": "2" }, { "q": "Suppose -12*b + 1963 = -b - 4197. Calculate the greatest common factor of b and 630.", "a": "70" }, { "q": "Let b(w) = 2*w + 8. Let i(f) = -10*f - 40. Let n(y) = 16*b(y) + 3*i(y). Let l be n(0). Let m = 377 - 345. What is the greatest common factor of m and l?", "a": "8" }, { "q": "Let a = 223 + -197. Let l(b) = -2*b**2 + 58*b + 33. Let j be l(a). Calculate the highest common divisor of j and 27.", "a": "27" }, { "q": "Suppose 0 = 2*l - 5*y - 37, 6*l + 7*y = 4*y + 165. Calculate the highest common factor of 1339 and l.", "a": "13" }, { "q": "Let r(c) = 54*c**2 + c - 1. Let s be r(1). Suppose -4*b - 2 = -s. Let q = -106 + 210. Calculate the highest common divisor of q and b.", "a": "13" }, { "q": "Let b be (-200)/(-2 + 3)*(105/(-10) - -8). What is the greatest common factor of 60 and b?", "a": "20" }, { "q": "Let x be ((-98)/(-4))/((-3)/(-6)). Let b = x - 45. Suppose -b*a = -5*g - 334, 2*g - 75 = -a - g. Calculate the highest common divisor of 27 and a.", "a": "27" }, { "q": "Suppose 52*q = -53*q + 103*q + 100. Calculate the greatest common divisor of q and 625.", "a": "25" }, { "q": "Let n(b) = -40*b**2 + 8*b + 58. Let v be n(-6). Let k be v/(-208) + (-2)/(-16). What is the highest common factor of k and 7?", "a": "7" }, { "q": "Let s = -3878 - -3932. Calculate the highest common divisor of 3051 and s.", "a": "27" }, { "q": "Let u = 237 + -229. Suppose u*o = 38 + 146. Calculate the highest common factor of o and 345.", "a": "23" }, { "q": "Let u(d) = 14*d - 16. Let g be u(14). Suppose -6*z = -21*z + g. Calculate the highest common divisor of z and 12.", "a": "12" }, { "q": "Suppose -2*y = 2*y - 60. Let s(u) = 4*u**2 - 13*u + 2. Let z be s(3). Let h be (2 - -134 - z) + -2. Calculate the highest common factor of h and y.", "a": "15" }, { "q": "Let w(t) = 6*t. Let v be w(5). Let c = -5751 + 5796. What is the highest common factor of v and c?", "a": "15" }, { "q": "Let b(j) = 2*j**2 + j + 2. Let d be b(-2). Suppose 3*u - 28 = -4*z, 1 - 5 = z - 2*u. Suppose -67 = z*x - 99. What is the greatest common divisor of d and x?", "a": "8" }, { "q": "Let w(p) = p**3 - 33*p**2 + 10*p + 181. Let u be w(34). What is the greatest common factor of u and 52?", "a": "13" }, { "q": "Let k(r) = -2*r**2 + 114*r + 2. Let m be k(57). What is the greatest common factor of 347 and m?", "a": "1" }, { "q": "Suppose 5*p = -4*q - 72, 4*q - 5*p + 112 = -0*q. Let w be (-29 + q)*(-2)/(2/2). What is the highest common factor of w and 39?", "a": "13" }, { "q": "Let k be 140/(-910) - 4257/(-39). What is the greatest common factor of 6976 and k?", "a": "109" }, { "q": "Let w be (5/((-25)/20) + 1)*-2. Suppose -w*p + 5*p = -9. What is the highest common divisor of 30 and p?", "a": "3" }, { "q": "Let x be 3/((-15)/35) + 4180/44. Calculate the highest common divisor of 3784 and x.", "a": "88" }, { "q": "Let j = 8275 - 7995. Suppose -43 = 5*v - 218. Calculate the greatest common factor of j and v.", "a": "35" }, { "q": "Let v(b) = b**2 + 2*b - 58. Let p be v(7). Let q be 296*(-1 + p)/8. Calculate the greatest common divisor of 111 and q.", "a": "37" }, { "q": "Let u = 5053 - 3310. Calculate the greatest common divisor of u and 21.", "a": "21" }, { "q": "Let b be (-4)/(-8) + (-105)/(-6). Let d = -17 + b. Let y(f) = 5*f**3 + f**2 + f - 1. Let s be y(d). Calculate the greatest common divisor of s and 54.", "a": "6" }, { "q": "Let b(q) = q**3 + 10*q**2 + q - 102. Let i be b(-7). What is the highest common divisor of i and 1406?", "a": "38" }, { "q": "Let n = -40 - -44. Suppose n*k - 3*s = -59, 2*k + 0*k + 5*s = -23. Let l be (k/(-6))/(-2 - 62/(-30)). What is the greatest common divisor of l and 7?", "a": "7" }, { "q": "Let n = -1693 - -2672. What is the greatest common factor of n and 623?", "a": "89" }, { "q": "Suppose 27*n + 5*c + 17 = 30*n, -2*n + 5*c = -13. Calculate the highest common factor of n and 676.", "a": "4" }, { "q": "Suppose -3*m = -2*v + 714 + 193, 1358 = 3*v - 5*m. Let y = v - 293. Let c be y/36*6*1. What is the highest common factor of c and 70?", "a": "14" }, { "q": "Let o = 80 + -37. Suppose 3*q = -3*m + 57, -2*q - m + o = -0*m. Let a = q - 20. What is the greatest common divisor of a and 12?", "a": "4" }, { "q": "Let t(o) = o**3 - 3*o**2 - 1. Let p be t(3). Let v be (6/(-1) + -102)*p. What is the highest common factor of 36 and v?", "a": "36" }, { "q": "Suppose 5*f = -25, f - 6*f - 3799 = -3*n. Calculate the greatest common divisor of n and 185.", "a": "37" }, { "q": "Let t be (-2)/((-1)/((-3)/(-3)))*2. Suppose 2*j = t*w - 140, -5*w + 3*j = -198 + 23. Calculate the greatest common divisor of w and 105.", "a": "35" }, { "q": "Let q(o) = o + 15. Let n be q(-9). Let c be 712/n + (-35)/21. What is the greatest common factor of c and 9?", "a": "9" }, { "q": "Let i = 9 + -6. Let c = -325 - -329. Suppose 3*s - 2*j - 8 = 5, 1 = 3*s + c*j. What is the greatest common divisor of s and i?", "a": "3" }, { "q": "Let c(g) = -121*g + 3895. Let t be c(32). Let n = -79 - -125. Calculate the highest common divisor of n and t.", "a": "23" }, { "q": "Let l = -4239 - -4491. Calculate the greatest common divisor of l and 546.", "a": "42" }, { "q": "Suppose -4*b - 984*a = -980*a - 260, 4*b - 2*a = 284. What is the greatest common factor of b and 115?", "a": "23" }, { "q": "Let l = 1003 + 765. What is the greatest common divisor of l and 85?", "a": "17" }, { "q": "Let g(v) = -81*v - 791. Let f be g(-10). What is the highest common divisor of f and 1919?", "a": "19" }, { "q": "Let b be (-16)/14*((-119)/2)/17. Suppose b*v = 1699 - 291. What is the highest common divisor of 44 and v?", "a": "44" }, { "q": "Suppose -j + 3*j - 4 = 0. Suppose -7 = -3*i - b, -b + 7 = 4*i - 2. Let c be ((-12)/7)/(i/(-7)). What is the highest common factor of j and c?", "a": "2" }, { "q": "Let o(m) = -m**2 - 45*m - 37. Let t be o(-40). Calculate the highest common factor of t and 4401.", "a": "163" }, { "q": "Let y = -13218 + 13226. Suppose 4*s + 3*a = 172, s + 4*a - 44 = 3*a. What is the greatest common divisor of y and s?", "a": "8" }, { "q": "Suppose -6*g = -0*g - 462. Let j(o) = o**2 - 13*o - 19. Suppose 0 = -5*b - 2 - 3, -w = -2*b - 17. Let v be j(w). Calculate the highest common factor of v and g.", "a": "11" }, { "q": "Let q = -105 - -62. Let u(b) = -b**2 - 46*b - 93. Let n be u(q). Suppose 7*w = 4*w + 27. What is the greatest common factor of w and n?", "a": "9" }, { "q": "Let w be 7 + (-28)/42*(1 + 2). Suppose 213 = -w*b + 693. Let v(g) = 7*g - 2. Let q be v(2). What is the highest common divisor of b and q?", "a": "12" }, { "q": "Let x = 268 - 218. Let d be (-4)/(-6) + (-272)/(-6). Let l = x - d. Calculate the highest common factor of 8 and l.", "a": "4" }, { "q": "Suppose -3*j - x + 327 = 2*x, 213 = 2*j + x. What is the highest common divisor of 78 and j?", "a": "26" }, { "q": "Let v(f) = -5*f + 30. Suppose -r - r + i = -14, -3*i = r. Let x be v(r). Suppose x = -2*w + 4*w - 24. Calculate the highest common divisor of w and 108.", "a": "12" }, { "q": "Let k(w) = w**2 + 6*w + 10. Let t be k(-9). Let m(z) = -45*z - 890. Let y be m(-28). What is the highest common divisor of y and t?", "a": "37" }, { "q": "Suppose -b = 3, 27*i - 26*i = -2*b + 135. What is the greatest common divisor of 705 and i?", "a": "141" }, { "q": "Let v = -46 - -50. Suppose 2*s + 16 = 2*c - v, 25 = 5*c. Let w be s/(-1) + (-3 - 1). Calculate the greatest common factor of 11 and w.", "a": "1" }, { "q": "Let x = 44 + -68. Let f = 46 + x. Let m(y) = -9*y - 178. Let h be m(-21). Calculate the highest common divisor of f and h.", "a": "11" }, { "q": "Let f be 0 - (-3216)/(-4 - 2). Let s be (-3)/(-15) + f/(-20). Suppose k + 2*a + 168 = 3*k, -234 = -3*k - 3*a. What is the greatest common divisor of k and s?", "a": "27" }, { "q": "Let x = 35 + -10. Let n be (30 + -28)*x/2. Calculate the greatest common factor of 100 and n.", "a": "25" }, { "q": "Let t = -4624 + 4748. What is the highest common divisor of t and 186?", "a": "62" }, { "q": "Let y(c) = -29*c - 805. Let h be y(-29). What is the greatest common factor of 1332 and h?", "a": "36" }, { "q": "Let x(q) = -2*q**3 - 9*q**2 + 9*q - 7. Let v be x(3). Let k = v - -196. Calculate the greatest common divisor of k and 54.", "a": "27" }, { "q": "Let w = 41 + -40. Let j(c) = -w + 3*c**2 + c + 4 - 10*c + 0*c. Let z be j(4). Calculate the greatest common divisor of z and 165.", "a": "15" }, { "q": "Let w(t) = 15*t**2. Let m be w(1). Let r be (0 - (-1)/4)*(53 - 1). Suppose 5*o = -m, -4*p + 3*o = -12 - r. What is the greatest common factor of p and 10?", "a": "2" }, { "q": "Suppose 211 + 192 = 13*v. Calculate the greatest common divisor of v and 155.", "a": "31" }, { "q": "Suppose 0 = 46*u + 34*u - 12960. Calculate the greatest common divisor of 6966 and u.", "a": "162" }, { "q": "Suppose 0 = u + 5 - 1, 4*u - 56 = -w. Let i be (-180)/(-5) - (3 - 1). Suppose -38*n + 32 = -i*n. What is the highest common factor of w and n?", "a": "8" }, { "q": "Let w(k) = 6*k**2 + 51*k - 8. Let f be w(-9). Suppose 0 = 3*y + 368 - 1622. Let s be 2/((-1250)/y + 3). What is the highest common divisor of s and f?", "a": "19" }, { "q": "Suppose -410 = -5*n - 4*b, b + 115 = n + 42. What is the greatest common divisor of 30 and n?", "a": "6" }, { "q": "Let r(o) = o**3 + 2*o**2 - 8*o + 7. Let t be r(2). Calculate the greatest common divisor of 518 and t.", "a": "7" }, { "q": "Let j be 39/(-5)*10/(-6). What is the highest common divisor of j and 29?", "a": "1" }, { "q": "Let l(n) = 99*n**2 + 6*n + 7. Suppose 5*b + 4*x = -30, -5*x + 19 = -2*b - 8*x. Let j be l(b). What is the highest common factor of j and 23?", "a": "23" }, { "q": "Let l(a) = -10*a - 23. Let z be l(-3). Let t = 21 - 9. Suppose u = z*u - t. Calculate the greatest common divisor of u and 18.", "a": "2" }, { "q": "Let h be ((-46)/(-4))/(7/210). Suppose 18*q - 159 = h. What is the greatest common divisor of q and 7?", "a": "7" }, { "q": "Let d(o) = 39*o**2 - 28*o + 44. Let r be d(2). Calculate the highest common divisor of r and 16.", "a": "16" }, { "q": "Let s be (-1095)/(-5) - 2*1. Suppose -2*c + z - 443 = -4*c, c - z = s. Let h be 4/(68/(-10) - -7). What is the greatest common divisor of c and h?", "a": "20" }, { "q": "Let i be 12/(-33)*(-55)/10. Calculate the highest common divisor of 394 and i.", "a": "2" }, { "q": "Let c = 30 - 26. Suppose -c*k = 168 - 544. Let q = 148 - k. What is the highest common divisor of q and 9?", "a": "9" }, { "q": "Let c = -3283 - -4524. What is the highest common divisor of 17 and c?", "a": "17" }, { "q": "Let d be (-4)/6 - ((-796)/(-24))/(7/(-28)). What is the greatest common divisor of d and 616?", "a": "44" }, { "q": "Let c be (-3 - (-13)/5)/(6/(-195)). Suppose 2*u + 7 = 1. Let w = c + u. Calculate the highest common factor of 20 and w.", "a": "10" }, { "q": "Suppose 116*l - 23460 = -5*u + 111*l, -14101 = -3*u + 2*l. Calculate the greatest common factor of 77 and u.", "a": "77" }, { "q": "Let y(l) = -l**2 + 26*l - 7. Let d be y(12). What is the greatest common divisor of 14 and d?", "a": "7" }, { "q": "Let r(m) be the first derivative of 2*m**3/3 + 5*m**2/2 + 3*m + 15. Let d be r(-9). Let l be (4/(-2))/2 + d. Calculate the greatest common factor of l and 17.", "a": "17" }, { "q": "Let x(h) = 3*h**2 - 12*h - 13. Let q be x(-6). Suppose -t + 5*j = -5*t + 433, -j = -2*t + 227. Let w = q + t. What is the highest common factor of 31 and w?", "a": "31" }, { "q": "Suppose 4*z + 3*z = 385. Suppose -25 = -4*q + z. Calculate the greatest common divisor of 8 and q.", "a": "4" }, { "q": "Suppose 822 = -49*r + 46*r. Let t = -154 - r. Calculate the greatest common divisor of 90 and t.", "a": "30" }, { "q": "Let k be (-21)/7 + (-2)/(4/(-3))*542. What is the highest common factor of k and 450?", "a": "90" }, { "q": "Let h be 7 - (2 + -2 + 32/8). Suppose -5*g = -g - 52. Suppose -2*w + 8 = t, -g = -2*t + h*t - 5*w. Calculate the greatest common factor of 5 and t.", "a": "1" }, { "q": "Let x be -3 + -1 + -67 + 1 + -2. Let n = -51 - x. Let w be 2 - (2 + 0 - n). Calculate the greatest common divisor of 84 and w.", "a": "21" }, { "q": "Let x = -1 + 4. Suppose u - 5*u + 75 = x*w, 5*u - w = 70. Suppose -6 + u = d. What is the greatest common divisor of 72 and d?", "a": "9" }, { "q": "Let x(v) = -7*v**2 + 52*v + 5. Let w be x(6). Calculate the highest common factor of 559 and w.", "a": "13" }, { "q": "Let x be -1 + 0 - (1*-293 + (-134 - -139)). What is the highest common factor of 902 and x?", "a": "41" }, { "q": "Suppose 14*a - 134 + 8 = 0. Let f(v) = v**3 - v. Let t be f(3). Let p = 51 - t. Calculate the greatest common divisor of a and p.", "a": "9" }, { "q": "Suppose 4*o = -334*p + 339*p - 195, -2*p = 5*o - 45. Let n = 590 + -345. What is the greatest common factor of p and n?", "a": "35" }, { "q": "Suppose 0 = o - q + 123, -5*q = 2*o - 3*q + 230. Let w = o + 284. What is the highest common factor of 110 and w?", "a": "55" }, { "q": "Let o(n) = 5*n - 19 - 16 - 10. Let b be o(10). Suppose -7*h + 3*h + 40 = 0. What is the highest common factor of b and h?", "a": "5" }, { "q": "Let g be (8 - (12 + 2))*-6. Calculate the highest common divisor of g and 2988.", "a": "36" }, { "q": "Let n(w) = -w**2 + 22*w - 48. Let t be n(13). Calculate the highest common divisor of 1081 and t.", "a": "23" }, { "q": "Suppose u - 2*u = -96. Suppose 2*s - 96 = -4*y, -2*y - 4 = 2*y. Suppose 6*d + 2*f = d + s, 2*d - 14 = -2*f. Calculate the highest common factor of u and d.", "a": "12" }, { "q": "Let t(v) = v + 8. Let k be t(-4). Let s be (59 - 58)*(0 + 0). Suppose -34*j + 1200 - 112 = s. What is the highest common divisor of k and j?", "a": "4" }, { "q": "Let y(z) = 3*z + 6. Let q be y(-2). Let b be (-6)/27 + (-858)/27 + q. Let m = b - -65. Calculate the greatest common divisor of m and 22.", "a": "11" }, { "q": "Let f = 180 - 177. Suppose -5*i + 69 + 17 = 3*p, f*i - 38 = 5*p. Let k = 115 - 51. Calculate the greatest common divisor of k and i.", "a": "16" }, { "q": "Let l = 60 + -94. Let r = 70 + l. Suppose -2*a = 2*g - 288, a = g - 295 + 151. Calculate the highest common factor of g and r.", "a": "36" }, { "q": "Suppose -2*b - 35*v + 48 = -31*v, 2*b - 3*v - 20 = 0. Calculate the highest common divisor of 1112 and b.", "a": "8" }, { "q": "Let n(q) = -q**3 + 15*q**2 - 14*q + 8. Let l be n(10). Let o be 2/16 + l/128. Let y = 8 - -13. What is the greatest common factor of y and o?", "a": "3" }, { "q": "Suppose -2*q + q = 5*u - 107, -q = 4*u - 85. What is the greatest common factor of u and 1573?", "a": "11" }, { "q": "Suppose 213 = 16*d - 715. Let s = 166 - d. What is the greatest common factor of 4 and s?", "a": "4" }, { "q": "Suppose -1053 = -9*b + 6*b. Suppose 8*k - 265 = b. What is the highest common divisor of 11 and k?", "a": "11" }, { "q": "Suppose r = -2*p - 3, -9*p + 12*p + 24 = 5*r. What is the greatest common factor of r and 384?", "a": "3" }, { "q": "Suppose 0 = -5*f + 21 + 94. Let q(t) = 4*t**2 + 4 - 3*t**2 + 13*t - f*t. Let n be q(10). What is the highest common divisor of n and 28?", "a": "4" }, { "q": "Suppose -5*m - 161 - 1663 = -3*s, 3*m + 1818 = 3*s. Calculate the highest common factor of 67 and s.", "a": "67" }, { "q": "Let j = 12 + -14. Let s be 0/(j + 0/(-3)). Suppose 3*l + s = 42. Calculate the highest common divisor of l and 42.", "a": "14" }, { "q": "Let o = 884 + -824. Let i(j) = -4*j. Let l be i(-3). What is the greatest common divisor of o and l?", "a": "12" }, { "q": "Let h = -3540 - -3884. Calculate the greatest common factor of 2 and h.", "a": "2" }, { "q": "Suppose -3*b + 92 = c + 59, 2*b - 2*c = 14. What is the greatest common factor of b and 58?", "a": "2" }, { "q": "Suppose -d = 4*d - 1680. Let k(b) = 4*b - 28. Let n be k(9). What is the highest common divisor of d and n?", "a": "8" }, { "q": "Let f = 141 - 137. Suppose -f*w + 152 + 264 = 0. What is the highest common divisor of 13 and w?", "a": "13" }, { "q": "Suppose -93*f + 92*f = -10. Let x be f*(1 + (-79)/(-2)). Calculate the highest common factor of x and 45.", "a": "45" }, { "q": "Let t = 3808 + -3540. What is the highest common divisor of 12 and t?", "a": "4" }, { "q": "Let t = 124 + -126. Let x be (-8 + 7)/((-465)/231 - t). What is the highest common factor of 7 and x?", "a": "7" }, { "q": "Let h = 385 - 380. Suppose 19*b = -h*b + 72. Let j(t) = t**2 + 4*t - 2. Let m be j(-5). What is the greatest common factor of m and b?", "a": "3" }, { "q": "Let w(r) = r**3 - r**2 - 7*r + 60. Let o be w(0). Let a be ((-56)/21)/((-2)/9). What is the highest common divisor of a and o?", "a": "12" }, { "q": "Suppose 5070 = 2*y + 4*y. Suppose 5*h = -2*b + y, 3*b + 5*h = -256 + 1526. Calculate the greatest common factor of 25 and b.", "a": "25" }, { "q": "Let k(s) = s**3 + 4*s**2 + 3. Let g be k(-3). Suppose g*q + 1180 = 7*q. Let c = 332 + q. What is the greatest common divisor of 64 and c?", "a": "32" }, { "q": "Let g = 12 - -26. Let r = 9001 + -8697. What is the highest common factor of g and r?", "a": "38" }, { "q": "Let k be 2*(-2 - (-35)/15)*6. Suppose -3*i + k*i = 3*z + 33, -5*z = 5*i - 165. Calculate the highest common factor of 66 and i.", "a": "33" }, { "q": "Let w = 8 + -2. Suppose -9*v = -2577 - 168. Let c = 329 - v. What is the greatest common factor of c and w?", "a": "6" }, { "q": "Suppose -40 = -t + 41*l - 36*l, -4*t - 4*l + 40 = 0. What is the highest common factor of t and 24?", "a": "3" }, { "q": "Let c be 82 - (-8)/((-136)/(-221)). Suppose -4*f = -5*k - 147, 4*f - 2*k - 155 = -5*k. What is the highest common factor of c and f?", "a": "19" }, { "q": "Let o be 15 + -5 + (4 - 0). Suppose 0 = 27*w - 33*w + 84. Calculate the highest common divisor of o and w.", "a": "14" }, { "q": "Let s be (88/(-6))/(2/(-9)*3). Let n(b) = b**3 - 13*b**2 + 21*b - 42. Let g be n(12). What is the highest common divisor of s and g?", "a": "22" }, { "q": "Let s be (1 - -1 - -4)/((-51)/(-136)). Let n = -13 + s. Suppose -3*b + 5*d = -320, -3*b - n*d = d - 338. What is the highest common factor of 44 and b?", "a": "22" }, { "q": "Let l(n) = -196*n + 36. Let a be l(-17). Let s be 4/(-10) + a/20. Suppose -8*y + 0*y = -s. What is the highest common factor of y and 21?", "a": "21" }, { "q": "Suppose 67*t - 399 = -52 + 189. Calculate the greatest common factor of t and 72.", "a": "8" }, { "q": "Suppose 0 = -5*i - 2*s + 31370, 3*i = -s - 4854 + 23675. What is the greatest common divisor of 128 and i?", "a": "128" }, { "q": "Let s(n) = n**2 - 157*n + 2150. Let m be s(15). Let u = -468 + 688. What is the greatest common divisor of m and u?", "a": "20" }, { "q": "Let v = 3108 - 3100. What is the greatest common factor of 676 and v?", "a": "4" }, { "q": "Suppose -15*y = -6437 - 238. What is the greatest common divisor of 10 and y?", "a": "5" }, { "q": "Let l(m) = m**2 + 10*m - 21. Suppose 3*o + n - 17 = -4*n, 0 = -5*n + 5. Let x be l(o). What is the greatest common divisor of x and 20?", "a": "5" }, { "q": "Suppose 4*v - w - 3*w = 72, -2*w + 29 = 3*v. Let c(l) = 25*l**2 - l. Suppose 3 = 4*z + 7. Let o be c(z). Calculate the greatest common divisor of o and v.", "a": "13" }, { "q": "Let h = 2758 + -774. What is the highest common divisor of 96 and h?", "a": "32" }, { "q": "Let i be (-2 - 1/(-2))/(9/12). Let h be 24/15 + i - (-1527)/5. Calculate the greatest common factor of 122 and h.", "a": "61" }, { "q": "Suppose 28*n - 849 = 670 + 581. Calculate the greatest common divisor of 425 and n.", "a": "25" }, { "q": "Suppose t - 124 = -26. Let z be t/49*(-2 + 1 + 23). Calculate the greatest common divisor of 11 and z.", "a": "11" }, { "q": "Let g be ((0 - 7) + 8)/(2/8). Suppose -o + 2*l - l = -2, -g*l + 10 = -o. Let i = 11 - 5. Calculate the greatest common factor of i and o.", "a": "6" }, { "q": "Suppose -3*o = -3*p - 204, 5*p - 164 = o - 4*o. Suppose 13*t = 30 + 87. What is the highest common factor of t and o?", "a": "9" }, { "q": "Let o(s) = -33*s - 51. Let j = 152 - 156. Let p be o(j). What is the greatest common divisor of p and 54?", "a": "27" }, { "q": "Suppose 0 = -6*a - a + 4*a + 4680. Calculate the highest common factor of a and 39.", "a": "39" }, { "q": "Suppose 2*v = v - 4*r + 156, -4*r - 300 = -2*v. Let j be 42/4*(-19)/(v/(-48)). What is the highest common divisor of 14 and j?", "a": "7" }, { "q": "Let a(w) = 2*w - 127. Let k(f) = f - 1. Let u(l) = -a(l) - 4*k(l). Let t be u(13). Calculate the highest common divisor of t and 265.", "a": "53" }, { "q": "Let c(q) = -3*q**3 - 28*q**2 - 28*q - 17. Let k be c(-9). Let s = 8 + 6. Calculate the greatest common divisor of s and k.", "a": "14" }, { "q": "Let i(k) = 7*k + 60. Let o be i(-8). Suppose -18*s = o*s - 792. What is the greatest common divisor of s and 90?", "a": "18" }, { "q": "Let o(m) = -m**3 + 16*m**2 + 6. Let t be o(16). Suppose -29 + 137 = t*f. Calculate the greatest common divisor of f and 18.", "a": "18" }, { "q": "Let j = 574 + -326. Suppose q - 13 = -3*p + 31, 5*q - j = -p. Calculate the greatest common factor of 20 and q.", "a": "10" }, { "q": "Suppose 4*p = -34 - 2. Let k(v) be the third derivative of -v**4/6 - 4*v**3/3 - 61*v**2 + 2. Let m be k(p). Calculate the highest common divisor of m and 42.", "a": "14" }, { "q": "Suppose 0 = 26*a - 63350 + 2198. Calculate the highest common factor of a and 48.", "a": "48" }, { "q": "Let m = -439 + 471. Calculate the greatest common divisor of m and 16.", "a": "16" }, { "q": "Let y be ((-2)/(-3))/(10/15). Suppose -s + 22 = 5*i, 5*i + 6 = s + 24. Let u be -5 + 6 - 1/((-2)/i). Calculate the highest common divisor of y and u.", "a": "1" }, { "q": "Let s(i) = -1007*i + 99. Let o be s(-5). What is the highest common divisor of 34 and o?", "a": "34" }, { "q": "Let d = -71 + 71. Suppose 0 = 5*z - m - 85, d*m = 3*m. Calculate the highest common divisor of z and 323.", "a": "17" }, { "q": "Let b = 19 - -43. Suppose y = -4, 0*y - b = -2*w - y. Suppose 0 = 4*v + 12, 0 = -2*i - 3*v - 0*v + w. Calculate the greatest common divisor of i and 21.", "a": "21" }, { "q": "Suppose -r = -g - 6*r - 347, -5*g = -3*r + 1623. Let c = g - -514. Calculate the highest common divisor of 17 and c.", "a": "17" }, { "q": "Let l(x) = 8*x + 4. Let y be l(4). Suppose 5*s + 90*n - 86*n = 92, -3*s = 3*n - 60. What is the greatest common divisor of s and y?", "a": "12" }, { "q": "Suppose -30*y - 14146 = -76*y + 1586. What is the greatest common factor of 162 and y?", "a": "18" }, { "q": "Let h(j) = -3*j**3 - 12 + 5*j + 3*j**3 - 2*j**2 - 2*j**3 + 3*j**3. Let c be h(5). Let k = c - 52. Calculate the highest common divisor of k and 4.", "a": "4" }, { "q": "Let o = -3044 - -3765. Calculate the greatest common factor of 7 and o.", "a": "7" }, { "q": "Let i(x) = -162*x**3 + 3*x**2 - x + 10. Let w be i(-2). Calculate the highest common divisor of w and 240.", "a": "120" }, { "q": "Let m = 3529 + -3455. What is the highest common factor of 1406 and m?", "a": "74" }, { "q": "Let t be (-212)/(-15) - (-10)/(-75). Let d = 46 + -44. Suppose 168 = g + d*g. What is the highest common factor of t and g?", "a": "14" }, { "q": "Let o be (4 + 11/(-2))*(-70)/21. Suppose o*x - 5 = 0, 0 = -2*d - 0*d + x + 543. What is the highest common divisor of d and 17?", "a": "17" }, { "q": "Suppose 1553*n - 1555*n + 320 = 0. What is the greatest common factor of 864 and n?", "a": "32" }, { "q": "Let p be -12 + 83 - (1*2 + -1). Let d(j) be the first derivative of j**2/2 + 17*j - 11. Let o be d(11). What is the highest common divisor of o and p?", "a": "14" }, { "q": "Let b(s) = -8*s - 116. Let x be b(-17). What is the greatest common divisor of 60 and x?", "a": "20" }, { "q": "Let i(x) = 7*x - 40. Let j be i(6). Suppose 138 = j*o + 3*o - 4*m, 2*m - 6 = 0. What is the greatest common factor of o and 90?", "a": "30" }, { "q": "Let t(y) be the first derivative of 91*y**2/2 - 14*y + 9. Let h be t(6). Let w be h/12 - (-4)/6. Calculate the highest common factor of 30 and w.", "a": "15" }, { "q": "Let u(j) = -29*j - 15. Let t(v) = -4*v - 5. Let f be t(-1). Let d be u(f). Calculate the greatest common divisor of d and 378.", "a": "14" }, { "q": "Let v(a) = -a**3 - 27*a**2 - 27*a + 50. Let o be v(-27). Calculate the greatest common divisor of o and 164.", "a": "41" }, { "q": "Let a = 180 + -9. Let q be 13/((-169)/2) + a/13. What is the greatest common divisor of 65 and q?", "a": "13" }, { "q": "Let m be -4 - (-3 + (-3 - 2)). Suppose 9*p - 165 = m*p. Calculate the greatest common factor of p and 132.", "a": "33" }, { "q": "Let c = -63 - -112. Suppose -c = -8*x + 71. Calculate the highest common divisor of x and 255.", "a": "15" }, { "q": "Let i(m) = 26*m - 198. Let z be i(9). What is the highest common divisor of z and 981?", "a": "9" }, { "q": "Let j(d) = -12*d - 4. Let a be j(-3). Let r be (-54 + 22)*((-14 - -11) + (2 - 1)). Calculate the greatest common divisor of r and a.", "a": "32" }, { "q": "Let k(h) = h**2 + 9*h - 7. Let z be k(-10). Suppose -z*f + 2*f + 34 = 0. Calculate the greatest common factor of 17 and f.", "a": "17" }, { "q": "Let f = -2159 + 2435. What is the highest common factor of f and 36?", "a": "12" }, { "q": "Let r = -2269 + 2428. Calculate the highest common factor of r and 2173.", "a": "53" }, { "q": "Let l be (3 - 1)/(((-24)/188)/(-3)). Let b = l + -37. Suppose -9*d - b = -10*d. What is the highest common factor of d and 4?", "a": "2" }, { "q": "Suppose 2*b + h - 428 = -0*h, -4*b + 872 = -2*h. Suppose 6*n - b = -3*n. Let k = 56 - 20. Calculate the greatest common factor of k and n.", "a": "12" }, { "q": "Suppose -4*n - 2236 = -3*p, 4*p - 1197 = -4*n + 1803. What is the highest common factor of p and 88?", "a": "44" }, { "q": "Suppose -11 = -2*a + 7. Suppose 3 = -2*d + 4*q - q, -3*q + a = -4*d. Let k be d - (-471)/12 - (-2)/(-8). What is the greatest common divisor of k and 12?", "a": "12" }, { "q": "Suppose -24*z + 20*z - 5*w + 4781 = 0, -1204 = -z - 3*w. What is the greatest common divisor of z and 82?", "a": "41" }, { "q": "Let a(u) = -u**3 + 37*u**2 + 38*u + 24. Let t be a(38). Calculate the highest common divisor of 456 and t.", "a": "24" }, { "q": "Let m(n) = 149*n - 1763. Let r be m(12). What is the greatest common divisor of 1525 and r?", "a": "25" }, { "q": "Let c(k) = k**3 - 2*k**2 - 4*k - 1. Let u be c(6). Let b(m) = m**3 - 5*m**2 + 53*m - 462. Let y be b(7). Calculate the highest common divisor of y and u.", "a": "7" }, { "q": "Suppose -4*h = b - 67 + 6, -4*h = 5*b - 385. Let a be 30/(-75) - -1*(-137)/(-5). Calculate the greatest common factor of b and a.", "a": "27" }, { "q": "Suppose -9*q - 3*a + 180 = -7*q, 4*q - 5*a - 360 = 0. Calculate the greatest common divisor of 7290 and q.", "a": "90" }, { "q": "Let x(m) be the second derivative of -m**3/6 + 7*m**2/2 - 5*m. Let s be x(5). Let d = 145 + -129. Calculate the highest common divisor of s and d.", "a": "2" }, { "q": "Let g(u) = u**2 - 16*u - 7. Let o be g(17). Suppose 4*t - 24 + 2 = -2*l, -o = -3*t + 5*l. Calculate the greatest common divisor of t and 160.", "a": "5" }, { "q": "Suppose -h + 155 = 293 - 1051. What is the greatest common factor of 55 and h?", "a": "11" }, { "q": "Suppose 3*z + 2*u + 56 = 0, 48 = -2*z + 2*u + 2*u. Let w be (0 - 0 - -14)*(-50)/z. Calculate the greatest common divisor of 14 and w.", "a": "7" }, { "q": "Suppose 2 = 6*l - 4*l. Let v be (5 + -4)*(27 + l). Let i = -25 + v. What is the highest common factor of i and 3?", "a": "3" }, { "q": "Let s = -266 + 292. Let t be (-2 + (-147)/(-3))*2. Suppose q - t = -s. Calculate the highest common factor of q and 102.", "a": "34" }, { "q": "Let j = -3299 - -1934. Let d be (3/(-9))/(5/j) - 1. Calculate the highest common factor of d and 10.", "a": "10" }, { "q": "Let u be (-4 + 6)*(-19)/(-2). Suppose 1280 = -15*o + u*o. Suppose 5*t = -4*c + t + o, 5*t = -c + 64. Calculate the greatest common factor of c and 12.", "a": "12" }, { "q": "Let o(c) = c + 9. Let f be o(-6). Suppose -2*q - f*w + 1697 = 0, 0*q = -4*q - 3*w + 3397. Suppose -q = 2*x - 7*x. What is the highest common factor of 34 and x?", "a": "34" }, { "q": "Let k(g) = 71*g**2 - 8*g - 18. Let z be k(-2). Suppose -20*w + z = -1598. Calculate the highest common divisor of w and 141.", "a": "47" }, { "q": "Let f be 333 - 2 - (1 + 0). Let h(c) = -2*c**3 + 22*c**2 - 24*c + 70. Let s be h(10). Calculate the highest common factor of s and f.", "a": "30" }, { "q": "Let u = -202 + 226. Let r be ((-8)/(-1))/(6/u). What is the greatest common divisor of 96 and r?", "a": "32" }, { "q": "Suppose 0 = -3*c + 96 + 672. Let s(t) = t**3 - 3*t**2 + 3*t + 7. Let b be s(3). Calculate the highest common divisor of c and b.", "a": "16" }, { "q": "Suppose -2*b + 677 = m, -3*m - 793 + 2815 = 3*b. Calculate the highest common divisor of m and 33.", "a": "11" }, { "q": "Let a(y) = 2*y**2 + 17*y + 2. Let u be a(-11). Let j = u + -53. Let z(w) = w**3 - 3*w**2. Let g be z(4). What is the highest common divisor of g and j?", "a": "4" }, { "q": "Let w(q) = -3*q - 1. Let j be w(1). Let r(y) = 23*y + 57. Let n be r(-3). Let x be n/(-48) + (-155)/j. Calculate the highest common divisor of 429 and x.", "a": "39" }, { "q": "Let n(u) = 150*u - 508. Let m be n(6). Calculate the highest common divisor of 168 and m.", "a": "56" }, { "q": "Let p = 102 + -106. Let u be ((-128)/56)/(p/14). Calculate the highest common factor of u and 352.", "a": "8" }, { "q": "Let x be 1 - ((-18)/6 + 4). Suppose x = v - 169 + 8. What is the greatest common factor of v and 23?", "a": "23" }, { "q": "Suppose -70*f - 135 + 261 = -644. What is the greatest common divisor of f and 30?", "a": "1" }, { "q": "Let z = 105 + -102. Suppose 0 = z*a - 5*m - 550, a + 10*m - 5*m - 210 = 0. Calculate the highest common divisor of 76 and a.", "a": "38" }, { "q": "Let h = -1895 + 2030. Let k(p) = 2*p - 4. Let n be k(3). Let f be (-5 - -8)/(n/18). Calculate the greatest common factor of f and h.", "a": "27" }, { "q": "Let g = -21 - -61. Suppose -6*l + 410 = -11*l. Let p be 6/(-15) - l/5. What is the highest common divisor of p and g?", "a": "8" }, { "q": "Let v = -1637 - -1663. Calculate the greatest common divisor of 338 and v.", "a": "26" }, { "q": "Suppose 86 = -x - 2*t + 302, 0 = -3*x + 2*t + 648. Suppose 5*j + x - 1161 = 0. What is the greatest common factor of j and 21?", "a": "21" }, { "q": "Let s be (-3 + 15/(-2))*96/(-9). Suppose 18 = u - r, -u + 5*u = 3*r + 70. What is the highest common factor of s and u?", "a": "16" }, { "q": "Let r(j) = 9 + 8*j**2 + j**3 + 3*j - j + 0*j - 4*j. Let w be r(-8). Let o = -94 - -319. Calculate the greatest common factor of o and w.", "a": "25" }, { "q": "Let m(p) = -2*p - 4 - 470*p**2 + 0*p + 471*p**2. Let v(y) = y**2 + 6*y - 4. Let j be v(-6). Let t be m(j). What is the greatest common factor of t and 30?", "a": "10" }, { "q": "Let y be (1352/(-10) + -2)/((-42)/840). Let g be y/147 + 2*2/(-6). What is the greatest common factor of g and 342?", "a": "18" }, { "q": "Let k(s) = 34*s - 8. Let x be k(3). Suppose 2*v = -2*c + x, -3*v + 37 = 5*c - 4*c. What is the greatest common divisor of 416 and c?", "a": "52" }, { "q": "Let s be 4/22 + (-3504)/(-88). Suppose 3*y + s = 4*a, -a = 4*y + 33 + 14. Let b = y + 15. Calculate the greatest common divisor of 9 and b.", "a": "3" }, { "q": "Suppose 2*b = 2*s + 18, b - 4*s - 1 = 11. Suppose 68 = 5*c + 8. Suppose -2*v + c = v. What is the highest common factor of b and v?", "a": "4" }, { "q": "Let h(g) = 8*g + 105. Let t be h(0). Let b = -73 + 115. Calculate the greatest common factor of b and t.", "a": "21" }, { "q": "Let o = 376 - 320. Suppose -4*y - 2*p + 7*p = -143, 3*y - 3*p - 105 = 0. What is the highest common factor of y and o?", "a": "8" }, { "q": "Suppose o - 2*n + 0*n = 7, -3*n = -3*o + 36. Let j = 17 - o. Suppose j = 4*y - 0*y - 20. What is the greatest common factor of 15 and y?", "a": "5" }, { "q": "Let q be ((-840)/50)/(-21) + 16*34/20. Suppose 8 = 4*c - 0*c. Suppose -c*t + 4 = -t. What is the greatest common divisor of t and q?", "a": "4" }, { "q": "Suppose 3*d = 4*f - 39, -3*f + 58*d = 54*d - 31. Calculate the greatest common factor of 171 and f.", "a": "9" }, { "q": "Suppose 70*f = 69*f + 3*s + 504, 0 = f - 4*s - 502. Calculate the greatest common factor of f and 12.", "a": "6" }, { "q": "Suppose -646 = -25*y + 504. What is the greatest common divisor of 4646 and y?", "a": "46" }, { "q": "Let h = -2619 + 2647. What is the highest common factor of h and 1708?", "a": "28" }, { "q": "Let u be (3 + (-18)/(-4))*(50/(-15) + 4). What is the highest common factor of u and 565?", "a": "5" }, { "q": "Let y be ((-45)/(-6))/(15/90). Let a be (-6)/2 - -8 - 1. Let s = 9 - a. What is the highest common factor of s and y?", "a": "5" }, { "q": "Let l = 4888 + -4732. What is the greatest common factor of l and 663?", "a": "39" }, { "q": "Let z = -79 + 159. Suppose 2*k = -3*d + 26, -8*k + 4*d + 24 = -7*k. What is the highest common divisor of k and z?", "a": "16" }, { "q": "Suppose -5*x + 14 = -2*l, 4*x + 4*l = 8*x - 16. Let b(t) = 19*t + 8. Let q be b(2). Calculate the greatest common divisor of x and q.", "a": "2" }, { "q": "Suppose -3*c - 5*b = 20, -c = -b - 9 + 5. Suppose 29*p - 8*p - 672 = c. Calculate the greatest common divisor of 64 and p.", "a": "32" }, { "q": "Suppose 34*p + 4*d = 39*p - 208, 0 = -4*p + 4*d + 164. What is the highest common factor of p and 1254?", "a": "22" }, { "q": "Let j(w) = 5 + 6 + 8 - w**2 - 1. Let k be j(3). Suppose -3*d + 0*d = -297. Calculate the greatest common divisor of k and d.", "a": "9" }, { "q": "Let a(j) = j**3 + 19*j**2 - 6*j - 34. Let h be a(-19). Calculate the greatest common factor of 50 and h.", "a": "10" }, { "q": "Suppose 3*h - 5*r - 118 = 101, -72 = -h + 2*r. Let k(w) = 72*w - 256. Let b be k(5). What is the greatest common factor of b and h?", "a": "26" }, { "q": "Let w(k) = -k**2 + 66*k + 1245. Let v be w(0). Calculate the highest common divisor of v and 60.", "a": "15" }, { "q": "Let x be (684/(-8) + 4)*2 + -1. Let r = x + 194. Calculate the highest common factor of 210 and r.", "a": "30" }, { "q": "Let p = 18 - 4. Suppose -o = -p + 4. Let i = 51 - 36. Calculate the highest common divisor of o and i.", "a": "5" }, { "q": "Let v(b) = b**3 - 14*b**2 - 18*b - 70. Let q be v(16). Calculate the greatest common factor of 748 and q.", "a": "22" }, { "q": "Suppose -16*m - 2*m + 946 = 4*m. What is the greatest common factor of 5461 and m?", "a": "43" }, { "q": "Let i(g) = 6*g**2 + 2*g - 1. Suppose -5*d + 2 = -3*d. Let b be 3 + (d - -3 - 9). Let f be i(b). What is the highest common factor of f and 76?", "a": "19" }, { "q": "Let f = 126 - 122. Let j be f - -7*((-36)/(-3) - 4). Calculate the greatest common divisor of 72 and j.", "a": "12" }, { "q": "Suppose 0 = -2*h + 2*k + 1940, -5*h + k - 512 = -5382. Calculate the greatest common factor of 1560 and h.", "a": "195" }, { "q": "Let l be 1 + 1 + -5 + 693. Suppose -l - 510 = -6*u. What is the highest common divisor of u and 50?", "a": "50" }, { "q": "Let q = -4324 + 4409. Calculate the greatest common divisor of 35 and q.", "a": "5" }, { "q": "Let j = 3136 + -1783. What is the highest common factor of 369 and j?", "a": "123" }, { "q": "Suppose 947 = 4*w - 61. Let v(l) = l**3 - 16*l**2 + 20*l + 20. Let m be v(15). Suppose 12*d = m + 337. What is the highest common divisor of w and d?", "a": "36" }, { "q": "Let o(m) = -265*m - 66. Let q be o(-3). What is the highest common divisor of 72 and q?", "a": "9" }, { "q": "Let a(l) = l**2 + 21*l + 38. Let z be a(-20). Let f(y) = 8*y + 2. Suppose 0 = 29*n - 28*n - 2. Let b be f(n). Calculate the greatest common factor of z and b.", "a": "18" }, { "q": "Let j be 236/6 - 1/3. Let s = 1330 - 2900. Let f be 3/(j/(-2)) - s/65. What is the greatest common divisor of 60 and f?", "a": "12" }, { "q": "Let k = -71 - 33. Let v = k - -108. Let q = 34 + -22. What is the greatest common divisor of v and q?", "a": "4" }, { "q": "Suppose -53 + 202 = -4*t + 3*a, 2*t + 5*a = -107. Let s = t - -30. Let k = s + 27. Calculate the highest common divisor of k and 2.", "a": "2" }, { "q": "Let j = 2770 + -1857. What is the greatest common divisor of 249 and j?", "a": "83" }, { "q": "Let o(u) = -u**3 + 10*u**2 - 9*u. Let z = 20 - 13. Let g be o(z). What is the greatest common factor of g and 105?", "a": "21" }, { "q": "Let a be 2886/(-370)*(-32 - (-4)/2). Calculate the greatest common factor of 1560 and a.", "a": "78" }, { "q": "Let m be (-3 - -15)*255/68. What is the greatest common divisor of 1965 and m?", "a": "15" }, { "q": "Let c be (83 - -7)/18 - 15*(-2 + 1). Calculate the greatest common factor of 2540 and c.", "a": "20" }, { "q": "Let g(j) = -j + 3. Let p be g(-1). Suppose p*k - 284 = -96. Calculate the greatest common divisor of 47 and k.", "a": "47" }, { "q": "Let r = -78 - -43. Let k = -5 - r. Let q(a) = 10*a - 4. Let w be q(1). What is the highest common divisor of w and k?", "a": "6" }, { "q": "Let l = 10839 - 5652. What is the highest common divisor of l and 91?", "a": "91" }, { "q": "Suppose -134 - 136 = 10*i - 16*i. Calculate the highest common divisor of 12 and i.", "a": "3" }, { "q": "Let r = 12 + -10. Let b be r/22 + 120/11. What is the greatest common divisor of 11 and b?", "a": "11" }, { "q": "Let r = -4877 - -4895. Calculate the greatest common divisor of r and 14.", "a": "2" }, { "q": "Suppose 0 = 9*o - 2*o - 140. Let a = 36 - o. Let w = 147 + -19. Calculate the highest common factor of w and a.", "a": "16" }, { "q": "Let c be (-76)/(-10) + -8 + 716/(-10)*-4. What is the greatest common factor of 65 and c?", "a": "13" }, { "q": "Suppose 13*x - 10696 = 10*x + z, -3*z = x - 3582. What is the greatest common factor of x and 174?", "a": "87" }, { "q": "Let v(i) = -i**2 + 9*i + 2. Let m be v(8). Let g = 68 - 66. Suppose -2*u - 3*a + g*a + 31 = 0, -u - 4*a = -19. What is the greatest common divisor of m and u?", "a": "5" }, { "q": "Let s(g) = -g**3 - 5*g**2 + g - 3. Let a(q) = 9*q + 21. Let h be a(-3). Let x be s(h). What is the highest common factor of x and 189?", "a": "27" }, { "q": "Let h be 2/(-7) - 7/((-392)/912). Let t be (1/(12/h) - 2)*-24. What is the highest common factor of 272 and t?", "a": "16" }, { "q": "Suppose -2*d - 212 = -382. Calculate the highest common divisor of 5 and d.", "a": "5" }, { "q": "Let q(n) = -19*n - 42. Let z be q(-15). Let l = z + -232. What is the greatest common divisor of 319 and l?", "a": "11" }, { "q": "Let x(c) = c. Let d be x(0). Suppose 56 = 2*q - d*q. Let h(w) = 17*w + 983. Let o be h(-43). What is the highest common factor of q and o?", "a": "28" }, { "q": "Let f(m) = 2*m**3 + 7*m**2 - 32*m + 85. Let c be f(7). What is the highest common divisor of c and 10?", "a": "10" }, { "q": "Let n = 11896 + -11883. Suppose q - 5*q = -4. Calculate the greatest common factor of q and n.", "a": "1" }, { "q": "Let b = -12 + 15. Let x be 4 + -3 + 2 + b. Let p be -2 - 1 - (-36)/x. What is the greatest common factor of p and 3?", "a": "3" }, { "q": "Let a = 1419 - 216. Calculate the highest common factor of a and 3.", "a": "3" }, { "q": "Let x(m) = 147*m + 7881. Let n be x(-53). Let i = -1 - -10. Calculate the highest common factor of i and n.", "a": "9" }, { "q": "Let q be -5 + 6 + (2 - (1 - 0)). Suppose 0 = -0*j + q*j - 162. Suppose l - 5*d = 29, 3*l - 7*l = d - 32. Calculate the highest common divisor of j and l.", "a": "9" }, { "q": "Let j(r) = -12 + 5*r - 4*r - 9 - 3*r. Let l = 51 + -71. Let v be j(l). Calculate the highest common factor of 19 and v.", "a": "19" }, { "q": "Suppose 0 = -5*x + j + 15, -11*x - 9 = -7*x - 5*j. What is the greatest common factor of x and 444?", "a": "4" }, { "q": "Let m(d) = -d - 11. Let i be m(-16). Let p be i/(-2)*(-90 - (1 + -3)). What is the highest common divisor of p and 20?", "a": "20" }, { "q": "Suppose 5*k + 403 = -8*k. Let l = 17 - k. Calculate the highest common divisor of l and 48.", "a": "48" }, { "q": "Let q = -40 - -14. Let c = q + 33. Suppose -49 = -2*x + c. What is the greatest common factor of 28 and x?", "a": "28" }, { "q": "Let s(g) = 9*g - 561. Let q be s(64). Let d = 0 + 2. Suppose 2*l - 116 = -0*n - d*n, -3*l + 294 = 5*n. Calculate the highest common factor of n and q.", "a": "15" }, { "q": "Let k(r) = -53*r + 322. Let n be k(6). Let y = -42 + 74. Suppose n*p = 36 + y. What is the greatest common divisor of p and 136?", "a": "17" }, { "q": "Let q = -41 + 45. Suppose m + q - 7 = 0. Suppose -2*d + 4*f + 34 = 0, -5*f = d - 0*f + 11. Calculate the greatest common factor of d and m.", "a": "3" }, { "q": "Let u(p) = p**3 + 2*p**2 + 6*p - 9. Let v be u(3). Suppose i = -5*o + 5*i + v, 5*o + i = 49. What is the highest common divisor of o and 140?", "a": "10" }, { "q": "Suppose 3*i - 36 = i. Let n be (-40)/(-6)*i/4. Suppose o - 3*y - 173 = -110, 5*y - 95 = -o. Calculate the highest common factor of o and n.", "a": "15" }, { "q": "Suppose -2*l = -2*l - 5*l. Suppose l = -5*f + 5*d - 5, f - 3 - 2 = -d. Calculate the greatest common divisor of f and 13.", "a": "1" }, { "q": "Let b be 704/22 - -1*-3*1. Suppose -42*r + 832 = -b*r. Calculate the greatest common divisor of r and 24.", "a": "8" }, { "q": "Let n(v) = v**3 + 6*v**2 + 2*v + 5. Let y be n(-5). Let t(r) = r**3 - 10*r**2 - 64*r + 192. Let o be t(14). Calculate the highest common divisor of y and o.", "a": "20" }, { "q": "Let n be 60*18 - (8 - 8). Let i be (-4)/(-22) + (0 - n/(-110)). Calculate the greatest common divisor of 190 and i.", "a": "10" }, { "q": "Let v(k) = -k - 2. Let i be v(-5). Suppose 2*w - i*u = 6 + 7, 3*w = -u + 3. Suppose 14*a = 279 - 251. Calculate the highest common divisor of w and a.", "a": "2" }, { "q": "Let g(p) = 8*p - 28. Let x be g(6). Calculate the highest common divisor of 50 and x.", "a": "10" }, { "q": "Suppose -3*r + 6*r - 3 = 0, -2*m + 3*r - 3 = 0. Let f be m - (-235)/(-3) - (-5)/15. Let z be (-4)/(-26) - 5448/f. What is the highest common factor of 10 and z?", "a": "10" }, { "q": "Suppose -21 + 11 = -2*b. Suppose -w = 5, -b*t + 3*w + 2*w = -170. Suppose 3*s = t + 61. Calculate the greatest common divisor of 15 and s.", "a": "15" }, { "q": "Let g = 4083 - 3876. What is the highest common factor of 1 and g?", "a": "1" }, { "q": "Let n = -15 - -50. Let s be 144/14 - 10/n. Let a be (-21 - (-429)/55)/((-6)/50). Calculate the highest common divisor of s and a.", "a": "10" }, { "q": "Suppose -33 + 5 = -2*w. Let f be ((-70)/(-21))/(2/3). Suppose 5*c = -2*s + 2*c + 51, -f*c - 69 = -4*s. What is the highest common divisor of s and w?", "a": "7" }, { "q": "Let p(b) = -4*b**3 - 108*b**2 - 2*b + 25. Let t be p(-27). What is the greatest common divisor of 4661 and t?", "a": "79" }, { "q": "Let f = 988 - 971. What is the highest common factor of 3383 and f?", "a": "17" }, { "q": "Let u be (24/5 - (-13)/65) + (1974 - 27). What is the highest common factor of 183 and u?", "a": "61" }, { "q": "Suppose -56 = -7*n + 31*n - 200. Calculate the greatest common divisor of n and 447.", "a": "3" }, { "q": "Suppose 19*c = 22*c - 195. Suppose -23*j = -31*j + 40. What is the highest common divisor of c and j?", "a": "5" }, { "q": "Let g be 7860/65 - (-10)/130. Calculate the highest common factor of g and 55.", "a": "11" }, { "q": "Let r be 5/(15/9) + 5. Let f(n) be the third derivative of n**6/60 - n**5/60 - 5*n**2. Let t be f(1). What is the greatest common divisor of t and r?", "a": "1" }, { "q": "Suppose -2*i - 1642 = -0*i + 4*l, -i - 4*l = 813. Let d = i + 1243. What is the highest common factor of d and 46?", "a": "46" }, { "q": "Let h = -628 - -650. Calculate the greatest common factor of 88 and h.", "a": "22" }, { "q": "Let t(p) = 49*p**2 + 15*p - 3. Let r be t(-4). Suppose -5*z - 9*g = -7*g - r, -5*z - 3*g = -719. What is the greatest common factor of 87 and z?", "a": "29" }, { "q": "Let j = -2942 - -3047. Calculate the greatest common factor of j and 280.", "a": "35" }, { "q": "Let o(a) = 22*a**2 - 202*a - 124. Let d be o(10). Suppose -3*w + 277 = 2*q, 2*q - 4*w - 279 = -5*w. Calculate the highest common factor of d and q.", "a": "28" }, { "q": "Suppose 14*b - 392 - 78 = 76. Calculate the greatest common divisor of b and 27.", "a": "3" }, { "q": "Let k(y) = -10*y - 6 + 0 + 10 - 3*y**2 - y**3 - 4*y**2. Let v be k(-5). What is the highest common divisor of 6 and v?", "a": "2" }, { "q": "Let v be 18/(-10)*80/(-3). Let f be (-4)/v - (-255)/36. What is the highest common divisor of 112 and f?", "a": "7" }, { "q": "Suppose 5*w - 110 = -3*k, -7*w + 2*k + 111 = -74. What is the greatest common factor of w and 12?", "a": "1" }, { "q": "Let j(c) = -7 - 3*c + 26*c**2 - 11*c**2 - 12*c**2 - 4*c**2. Let o be j(-6). Let h = -17 - o. Calculate the highest common divisor of 12 and h.", "a": "4" }, { "q": "Let f be 1038/(-5) - ((-48)/(-20) + -3). Let n = 229 + f. What is the greatest common divisor of 154 and n?", "a": "22" }, { "q": "Let s = -164 + 164. Suppose -10*l + l + 63 = s. Calculate the highest common divisor of l and 7.", "a": "7" }, { "q": "Suppose 0 = -3*x + 2*x + 2*x. Suppose 70 = 4*n - h + 1, 5*n + 2*h - 96 = x. Suppose p + p = n. Calculate the highest common factor of 9 and p.", "a": "9" }, { "q": "Suppose -j - 3*y + 24 = -78, 320 = 3*j + 2*y. Calculate the greatest common factor of j and 69.", "a": "3" }, { "q": "Let x = -41 + 66. Suppose 4*z + 5*w = 29, -2*w + w + x = 4*z. Suppose -14*v + 168 = -0*v. Calculate the greatest common divisor of v and z.", "a": "6" }, { "q": "Let g = 3 - 2. Let i be g*6 + 0/4. Let b(p) = -4*p**3 + 21*p**2 + 14*p + 27. Let y be b(6). What is the highest common divisor of y and i?", "a": "3" }, { "q": "Suppose 16*d - 31*d = 0. Let i be 2/(-2) + 6/2. Let k be (1 + d + (1 - -8))*i. What is the highest common divisor of 40 and k?", "a": "20" }, { "q": "Suppose -6 = 2*n + 12. Let d be 2/n - 92/(-9). Suppose d*p - 6 = 7*p. What is the greatest common factor of 6 and p?", "a": "2" }, { "q": "Suppose 5*q - 5*p = 40, -2*p - 2 = 2*q + 2. Let v be 3/1*(q + 46 - -2). Let c be (2*-1)/((-4)/34). Calculate the greatest common divisor of c and v.", "a": "17" }, { "q": "Suppose -m = 5*h + 6, -23*m + 20*m - 5*h = -2. Calculate the greatest common factor of m and 1512.", "a": "4" }, { "q": "Let v = 18 - -2. Suppose -5*y + 86 = -39. Suppose 4*s = -j - 3*j, 4*j + y = s. What is the greatest common divisor of s and v?", "a": "5" }, { "q": "Suppose -14 = -4*i - 3*i. Suppose 5*q = l - 41 + 226, 5*q + i*l = 170. Suppose 0 = 3*y - 101 + 29. What is the greatest common factor of q and y?", "a": "12" }, { "q": "Suppose 3*j = 14041 + 2204. Calculate the greatest common factor of j and 15.", "a": "15" }, { "q": "Let z be 4 + 136*(4 + 45/12). What is the highest common divisor of z and 230?", "a": "46" }, { "q": "Let s = -550 - -637. Calculate the greatest common divisor of s and 667.", "a": "29" }, { "q": "Let r = 260 - -60. Let f = 6483 + -6419. What is the greatest common divisor of r and f?", "a": "64" }, { "q": "Suppose -2 = -2*w + 5*f + 13, -w = f - 4. Suppose w*z + 7*b = 2*b + 260, b = -3*z + 164. What is the greatest common factor of z and 56?", "a": "56" }, { "q": "Suppose v - 5*p - 92 = 381, 15 = -3*p. What is the greatest common divisor of v and 640?", "a": "64" }, { "q": "Let o be 6/21 + 313/7. Let m(n) = 230*n + 6449. Let p be m(-28). Calculate the highest common factor of o and p.", "a": "9" }, { "q": "Let g(q) = 9*q - 11. Let a be g(4). Let t(z) = -12*z**2 - 11 + a*z**2 + 20*z - 11*z**2. Let o be t(-11). Calculate the highest common divisor of 77 and o.", "a": "11" }, { "q": "Let a = -48 - -50. Suppose -4*g = 5*r - 28 - 24, -3*r + 18 = -a*g. Let i be (-11 + 1)*(-92)/r. What is the greatest common divisor of 23 and i?", "a": "23" }, { "q": "Let u be 81/12 + -7 - 18/(-8). Suppose -3*a + 77 = -n, -9 - 91 = -4*a + u*n. What is the greatest common factor of a and 297?", "a": "27" }, { "q": "Let q(y) = y**3 - 8*y**2 - 8*y + 4. Let f be q(9). Suppose -14*l - f = -181. Calculate the greatest common factor of 192 and l.", "a": "12" }, { "q": "Let i(h) = 2*h + 106. Let z be i(-27). Suppose z - 196 = -18*c. Calculate the greatest common divisor of 44 and c.", "a": "4" }, { "q": "Suppose -c = -5*f - 10, 15*f - 18*f = 2*c - 7. What is the greatest common factor of 1295 and c?", "a": "5" }, { "q": "Let r be (-30)/8*(-128)/12. Suppose -2*j + r = -0*j. Suppose 8*d = 87 + 73. Calculate the greatest common divisor of d and j.", "a": "20" }, { "q": "Let k be 112/8 - 9 - 356/(-2). What is the greatest common factor of k and 18?", "a": "3" }, { "q": "Let a(b) = -b**3 + 29*b**2 + 28*b + 39. Let m be a(30). Let p be m/(-2) + (-3)/2. What is the greatest common divisor of p and 6?", "a": "3" }, { "q": "Let t = -22 + 70. Let y be 3184/t - ((-4)/(-3) - 1). Calculate the highest common divisor of 88 and y.", "a": "22" }, { "q": "Let h = 4284 + -4216. What is the highest common divisor of 102 and h?", "a": "34" }, { "q": "Let w be (4/(-8))/((-3)/(-3))*0. Let y be w + 0 + 1 + 6. Suppose 2*z - 4*u - 20 = 0, -2*u + 76 = 5*z + u. What is the highest common factor of z and y?", "a": "7" }, { "q": "Let d = -665 + 699. Let m be (-1 - -1) + -2 + 308. Calculate the highest common divisor of d and m.", "a": "34" }, { "q": "Let h = -2521 + 2546. Calculate the highest common factor of 1775 and h.", "a": "25" }, { "q": "Let m = 5383 + -4349. What is the highest common divisor of 235 and m?", "a": "47" }, { "q": "Let s = 7418 + -3580. What is the greatest common factor of 76 and s?", "a": "38" }, { "q": "Suppose -23 = -4*f - 2*m + 19, 0 = 3*f - 3*m - 9. Suppose 7*b + 39 = x + f*b, -b = 2*x - 73. Calculate the greatest common factor of 272 and x.", "a": "34" }, { "q": "Let j be ((-216)/(-80) - (-3)/(-15))*(-216)/(-15). Calculate the greatest common divisor of 2556 and j.", "a": "36" }, { "q": "Let h = -2956 - -3033. What is the greatest common factor of 4081 and h?", "a": "77" }, { "q": "Suppose -3*i + 119 + 73 = 0. Suppose -20 = -4*h + 44. What is the highest common divisor of i and h?", "a": "16" }, { "q": "Let b(w) = -9*w - 66. Suppose -4*h + 42 = -5*d, 7*h - 10*h = 2*d + 26. Let s be b(d). What is the greatest common factor of s and 8?", "a": "8" }, { "q": "Suppose 2 = -k + 3*n - 4, k + 1 = -2*n. Let b be ((-3 - -8) + k)*9. Suppose z + 5*x - b = 0, 3*z - 4*x = 5 + 30. What is the highest common factor of z and 13?", "a": "13" }, { "q": "Suppose -692 - 1604 = 8*k. Let m = k + 529. Calculate the highest common divisor of 22 and m.", "a": "22" }, { "q": "Suppose -30*n + 24735 = -13*n. What is the greatest common divisor of 15 and n?", "a": "15" }, { "q": "Let l be 6/(-9) + (-178)/(-6). Suppose 0 = -4*w + j + 61, -3*w + w + l = j. Calculate the highest common factor of 9 and w.", "a": "3" }, { "q": "Let c(n) = -19 + 4*n - 10 - 39 + 8. Let q be c(17). Suppose u = -u + 16. Calculate the highest common divisor of q and u.", "a": "8" }, { "q": "Suppose 0 = -c + p + 1547, -p = -2*p + 5. Calculate the highest common divisor of c and 80.", "a": "16" }, { "q": "Let x = 12 + -7. Let b be (-3 + -2)*(3 + -4). Calculate the greatest common divisor of x and b.", "a": "5" }, { "q": "Let m(b) = b**2 + 82*b + 970. Let f be m(-70). Calculate the greatest common factor of 2795 and f.", "a": "65" }, { "q": "Let u = -2292 + 2312. What is the greatest common factor of u and 180?", "a": "20" }, { "q": "Let u be (-2205)/(-15) - (11 + -17). Suppose 0 = 2*x + 5*z - 44, -x = -4*z - 8 - 1. What is the greatest common factor of x and u?", "a": "17" }, { "q": "Let u(c) be the first derivative of 2*c**3/3 + 17*c**2/2 + 40*c - 20. Let y be u(-8). What is the greatest common factor of 288 and y?", "a": "32" }, { "q": "Let c = -27 + 60. Let y be ((-352)/(-240))/(384/180 - 2). What is the highest common divisor of y and c?", "a": "11" }, { "q": "Suppose -21*f - 837 + 2118 = 0. Suppose 0 = -5*u + 4*x + 319, 2*u + 2*x = u + f. Calculate the greatest common divisor of 42 and u.", "a": "21" }, { "q": "Let y(q) = -q**2 - 5*q + 5. Let t be y(-6). Let o be 21 + -1 + (1 - t). Suppose -3*k + 28*k - 825 = 0. Calculate the highest common factor of o and k.", "a": "11" }, { "q": "Let k(o) = -6*o + 64. Let i be k(9). Suppose 12*b - i*b - 28 = 0. What is the highest common divisor of 28 and b?", "a": "14" }, { "q": "Let q = 20 - 42. Let w = 37 + q. Suppose 3*z - 84 = 3*h, 64 = 5*z + h - 88. Calculate the greatest common divisor of w and z.", "a": "15" }, { "q": "Let f(i) = 12*i**2 + 45*i + 17. Let x be f(-4). Calculate the greatest common factor of 58 and x.", "a": "29" }, { "q": "Let t(f) = 6*f - 1. Let n be t(6). Let k(y) = 4 - 31*y - 1 + n*y. Let i be k(1). What is the highest common factor of i and 1?", "a": "1" }, { "q": "Let f be ((-3195)/30)/(261/(-86) - (-3)/1). Calculate the highest common divisor of 129 and f.", "a": "43" }, { "q": "Suppose 19 = k - 17. Let b(f) = -260*f - 2071. Let i be b(-8). Calculate the greatest common factor of k and i.", "a": "9" }, { "q": "Suppose 30 = 84*n - 79*n. Suppose -n*x + 102 + 90 = 0. Suppose 5*c = -3*a + 154, 3*a = -4*c - 20 + 142. Calculate the highest common factor of x and c.", "a": "32" }, { "q": "Let d(s) = -s**3 - 9*s**2 + 17*s - 3. Let y be d(-11). Let m be -78*(-3 - -2 - 0). Calculate the highest common factor of y and m.", "a": "26" }, { "q": "Suppose 43*j - 13*j + 42*j - 1152 = 0. What is the highest common divisor of 1104 and j?", "a": "16" }, { "q": "Let u be (-26 - -39)/((-2)/24). Let w = 178 + u. What is the greatest common divisor of w and 1?", "a": "1" }, { "q": "Let g(i) = -i**3 - i**2 - 6*i - 6. Suppose 2*d = -3*h - 9, 2*h - 3*d + 3 = -3. Let j be g(h). What is the highest common divisor of 18 and j?", "a": "6" }, { "q": "Let h be -11 - -6 - ((-6)/(-10))/((-5)/75). What is the highest common factor of h and 212?", "a": "4" }, { "q": "Let c(f) = -f**3 + 25*f**2 - 46*f - 276. Let x be c(21). What is the highest common divisor of x and 180?", "a": "18" }, { "q": "Suppose -2*s + 14 = -s. Let y(p) = 5*p - 26. Let z be y(6). Suppose -z*t + 28 = -3*t. Calculate the greatest common divisor of s and t.", "a": "14" }, { "q": "Let j be 77*(5/105)/((-2)/(-300)). What is the greatest common divisor of j and 100?", "a": "50" }, { "q": "Let w = -203 - -390. Suppose -16*n = -17*n + w. What is the highest common divisor of n and 17?", "a": "17" }, { "q": "Let j be (-2)/(-2) - 8*-19. Let a(t) = t**2 - t - 8. Let l be a(4). Let w be (0 + 2)/(((-16)/(-34))/l). What is the greatest common factor of w and j?", "a": "17" }, { "q": "Suppose -308 = 563*t - 574*t. Let o(r) be the first derivative of r**4/4 + 3*r**3 + 4*r**2 - 1. Let f be o(-7). Calculate the greatest common factor of t and f.", "a": "14" }, { "q": "Let r(q) = -4*q + 160. Let a be r(37). Suppose -628 + 52 = -a*g. What is the greatest common factor of g and 8?", "a": "8" }, { "q": "Let m = 1114 + -1090. What is the highest common factor of m and 184?", "a": "8" }, { "q": "Let d be ((-10)/(3 + -5) - -2)/1. Let i(a) = 0*a - 3 + 3*a - a - 3*a + d*a**2. Let l be i(2). Calculate the highest common factor of l and 161.", "a": "23" }, { "q": "Suppose 37*m + 626 = 1033. Calculate the greatest common factor of 1507 and m.", "a": "11" }, { "q": "Let n be 3/(-18) - 100/(-24). Let a be (-1)/((10/5)/66). Let w = 37 + a. What is the highest common divisor of w and n?", "a": "4" }, { "q": "Suppose -40 = j + 19*j. Let m be -5*(6/3)/j. Calculate the greatest common factor of 20 and m.", "a": "5" }, { "q": "Let f be (-75)/(-12) - (-4)/(-16). Suppose -f*x + 225 = 9*x. Calculate the greatest common divisor of x and 5.", "a": "5" }, { "q": "Let r = 3259 + -3151. Calculate the highest common factor of r and 2592.", "a": "108" }, { "q": "Let v be -6 - (7405/(-9) - (-120)/(-540)). What is the greatest common divisor of 258 and v?", "a": "43" }, { "q": "Let k be 1368/10 - (2/5)/(-2). Let w = k + -80. Calculate the greatest common factor of 114 and w.", "a": "57" }, { "q": "Suppose -4*y = -5*w + 318, 399 = 12*w - 6*w + y. What is the greatest common factor of 1826 and w?", "a": "22" }, { "q": "Let w = -2353 + 2362. What is the greatest common factor of w and 18?", "a": "9" }, { "q": "Suppose -2*h - 480 = -18*h - 4*h. What is the highest common divisor of 2748 and h?", "a": "12" }, { "q": "Suppose -5*q = 6*m - 3*m - 728, q + 494 = 2*m. Suppose -6*v = -30 - m. Calculate the greatest common divisor of 138 and v.", "a": "46" }, { "q": "Let s = -142 + -40. Let u = -303 + 709. Let w = s + u. Calculate the greatest common factor of w and 32.", "a": "32" }, { "q": "Let i be 2/3 - 3/(-9) - 4. Let a be (i/2)/((-12)/32). Calculate the greatest common factor of 2 and a.", "a": "2" }, { "q": "Let y(m) = -m**2 + m. Let k be y(1). Suppose 4*l + 3*u - 893 = k, -l + 2*u - u = -225. What is the highest common divisor of 28 and l?", "a": "28" }, { "q": "Let f be (-3300)/(-18) - (-16)/(-12). Calculate the greatest common factor of 448 and f.", "a": "14" }, { "q": "Suppose 0 = 3*i + n + 481, 5*i = 10*n - 8*n - 787. Let d = i + 198. What is the greatest common divisor of d and 39?", "a": "39" }, { "q": "Let l(n) = 149*n - 1608. Let c be l(13). Calculate the highest common divisor of 42 and c.", "a": "7" }, { "q": "Let c(n) = 135*n**2 - 39*n - 99. Let d be c(-3). What is the greatest common factor of d and 9?", "a": "9" }, { "q": "Suppose 11 = -i + 3*i + h, 4*h = 20. Suppose -3*z = -j + 2*z + 30, i*z + 28 = j. Calculate the highest common divisor of j and 25.", "a": "25" }, { "q": "Suppose -5*q - 20 = 0, o + q - 348 = -3*o. Let f = 269 - 232. Let h be 50/(-40) - f/(-4). What is the highest common factor of o and h?", "a": "8" }, { "q": "Let d(a) = -3 - 3 + 1 - 3*a + 3*a**2. Let j be d(-4). Suppose -q - 28 = -3*w, 3*q - 13 + 9 = w. What is the highest common divisor of j and q?", "a": "5" }, { "q": "Let i = 495 + 273. Calculate the greatest common factor of 80 and i.", "a": "16" }, { "q": "Let z be (-34)/(0 + (-8)/12). Let h(g) = g**3 - 3*g**2 + 5*g - 2. Let i be h(4). Calculate the highest common factor of i and z.", "a": "17" }, { "q": "Let t be (-41 - -1)*6/45*3. Let j be (0 + -3 + -3)*t. Calculate the greatest common factor of j and 24.", "a": "24" }, { "q": "Let x(l) = 2*l - 17. Let t = 23 + -17. Suppose v + 70 = t*v. Let i be x(v). Calculate the highest common factor of 99 and i.", "a": "11" }, { "q": "Suppose -2 - 8 = -2*w. Let y(x) be the third derivative of x**5/30 - x**4/6 - 4*x**2 + 3. Let k be y(w). Calculate the highest common factor of k and 45.", "a": "15" }, { "q": "Let j = -237 + 335. Suppose -3*w + 3*l + 8 = -424, 3*l = 5*w - 726. Let q be ((-8)/6)/(-5 + 721/w). What is the highest common factor of q and j?", "a": "14" }, { "q": "Suppose 15684 - 3364 = 5*i. What is the highest common divisor of i and 14?", "a": "14" }, { "q": "Suppose 434 = 4*t + 3*v, 281*v - 222 = -2*t + 282*v. What is the highest common factor of t and 77?", "a": "11" }, { "q": "Suppose 441 = -1184*i + 1233*i. What is the highest common divisor of i and 405?", "a": "9" }, { "q": "Suppose -5*j = -2*s - 116, 4*s = -2 - 10. Let b be (-1)/9*(-1 - -13)*-33. Calculate the greatest common factor of b and j.", "a": "22" }, { "q": "Let j(l) = 46*l**2 + 18*l - 72. Let h be j(6). Calculate the highest common factor of h and 18.", "a": "18" }, { "q": "Let b(z) = 5*z**2 + 6*z - 19. Let v be b(6). Let s = v - 151. What is the greatest common divisor of 69 and s?", "a": "23" }, { "q": "Let k(d) = 2*d**2 - 6*d - 10. Let f be k(5). Suppose 0 = 3*l + b - 1919, 3*l = -f*b + 8*b + 1924. Calculate the greatest common divisor of l and 58.", "a": "58" }, { "q": "Let g be (-1 - (-6 + 0)) + -255. Let b = g - -510. Calculate the greatest common divisor of b and 52.", "a": "52" }, { "q": "Let u = 2 - 0. Let i be (2/(-18) + (-8)/36)*-15. Suppose -3*v + i = -4*p + 22, 5*v = p - 17. Calculate the highest common factor of p and u.", "a": "2" }, { "q": "Let f(o) = 44*o - 106. Let a be f(12). Suppose 8*l - p - a = 3*l, 2*l - 164 = -2*p. What is the highest common divisor of 21 and l?", "a": "21" }, { "q": "Let m be (1496/132)/(-2 - (-2318)/1158). What is the highest common divisor of m and 34?", "a": "34" }, { "q": "Suppose -5 = -3*h + 10. Suppose -h*q - 38 = 297. Let t = -27 - q. Calculate the highest common factor of t and 8.", "a": "8" }, { "q": "Suppose 21*i - 22*i - 5*a = -45, -3*i + 183 = -a. Calculate the greatest common factor of 510 and i.", "a": "30" }, { "q": "Suppose -m = 3*u - 25 - 10, 37 = 2*m - 5*u. Let r = -869 - -934. Calculate the greatest common divisor of m and r.", "a": "13" }, { "q": "Suppose -10*p = -p - 27. Let u be (-40)/(-6)*(-6)/(-4). Suppose -f + 19 = -3*y, y = p*y + u. What is the greatest common divisor of f and 4?", "a": "4" }, { "q": "Suppose 8 = 7*v + 1. Let j be ((-612)/119)/((-6)/28). Suppose -4*w = 4*b - 20, b - 5*w - j = -v. Calculate the highest common factor of 40 and b.", "a": "8" }, { "q": "Suppose -y + 3*m + 26 = 0, m - 38 = -37*y + 34*y. Let p = -22 - -24. Calculate the highest common divisor of y and p.", "a": "2" }, { "q": "Let v(x) = -x + 4. Let j be v(-6). Let k(a) = 2*a**2 + 98*a - 640. Let q be k(-55). What is the greatest common divisor of j and q?", "a": "10" }, { "q": "Let m(h) = h - 3. Suppose b - 64 = -5*w - 0*b, -3*w + 4*b = -43. Let n be m(w). Calculate the highest common factor of n and 8.", "a": "2" }, { "q": "Let b(p) = -p**3 - p**2 - p - 146. Let a be b(0). Let o = 177 + a. Calculate the highest common divisor of 155 and o.", "a": "31" }, { "q": "Let r be ((-170 - 2) + 13)*(2 - 3). Calculate the highest common factor of 848 and r.", "a": "53" }, { "q": "Suppose 100*g = 104*g - 4*d - 188, 2*g - 102 = d. Suppose -3*b + 16 = -5*p - 34, -5*b = -p - 54. What is the greatest common divisor of b and g?", "a": "5" }, { "q": "Suppose -35 = -5*w - 5*x, 37*w + 7 = 38*w + 3*x. Suppose -o - 5 + 47 = 0. What is the highest common divisor of o and w?", "a": "7" }, { "q": "Let d = -105 + 195. Let w be -1 - (-1 - 16/2). Let n be (-3)/12 + d/w. Calculate the highest common divisor of n and 44.", "a": "11" }, { "q": "Suppose 5*b + 33*t - 300 = 29*t, 5*b - t - 325 = 0. Calculate the greatest common divisor of 1824 and b.", "a": "32" }, { "q": "Let p = 455 + -95. Calculate the highest common factor of 1224 and p.", "a": "72" }, { "q": "Suppose -2*z + 3*z + 3*z = 8. Calculate the highest common divisor of 103 and z.", "a": "1" }, { "q": "Suppose 172 = -23*r + 2012. Let f = 98 + -66. What is the highest common divisor of r and f?", "a": "16" }, { "q": "Let z be 9/15*1/(7/770). Calculate the highest common factor of 242 and z.", "a": "22" }, { "q": "Suppose 12 = 3*i, 3*a = -2*i + 171 + 239. Calculate the greatest common divisor of 1474 and a.", "a": "134" }, { "q": "Suppose -32 = 2*k - 2. Let m be k/21 - -1 - (-2456)/28. What is the greatest common factor of m and 11?", "a": "11" }, { "q": "Let o = 3416 - 2900. Calculate the greatest common factor of 192 and o.", "a": "12" }, { "q": "Let z(i) = i**3 + i**2 + 80*i + 25. Let v be z(8). Calculate the highest common factor of v and 146.", "a": "73" }, { "q": "Let b = 5330 + 2095. Calculate the greatest common divisor of 11 and b.", "a": "11" }, { "q": "Suppose -31 = 5*u - 111. Let d = 33 + -28. Suppose 3*v - 332 = -5*q, 2*v + 0*v = -d*q + 328. Calculate the greatest common factor of u and q.", "a": "16" }, { "q": "Let z be 4440/168 + 12/21. Calculate the greatest common factor of 4401 and z.", "a": "27" }, { "q": "Let y be (-6)/(-27) - 16/(-15)*350/21. Calculate the greatest common divisor of y and 18.", "a": "18" }, { "q": "Let i = 170 + 33. Calculate the highest common divisor of 551 and i.", "a": "29" }, { "q": "Let n(z) = 4*z**2 + 64*z - 284. Let s be n(43). What is the highest common divisor of s and 72?", "a": "72" }, { "q": "Let u = -3078 - -3107. What is the greatest common factor of u and 116?", "a": "29" }, { "q": "Let t = -2298 + 2319. What is the greatest common factor of t and 1659?", "a": "21" }, { "q": "Let b(d) = -283*d - 827. Let u be b(-3). Let t be (1/(-2))/((-2)/308). What is the highest common factor of t and u?", "a": "11" }, { "q": "Let m(g) = 33*g**2 + 2*g. Suppose -r = -3*t - 11, -r + 2*t = -0*t - 7. Let d be m(r). What is the greatest common factor of 62 and d?", "a": "31" }, { "q": "Suppose -4*h = -5*s + 16959, s + 4*h - 1161 = 2250. What is the greatest common factor of s and 35?", "a": "35" }, { "q": "Suppose 1120 = 915*q - 911*q. What is the greatest common factor of q and 595?", "a": "35" }, { "q": "Suppose 4 = r, -2*g + 2*r = 5*r + 320. Let l = g - -291. Calculate the highest common divisor of l and 5.", "a": "5" }, { "q": "Let t(o) = -o**2 + o + 710. Let h be t(-25). Calculate the greatest common factor of 516 and h.", "a": "12" }, { "q": "Suppose 8*n - 12 = 4*n. Suppose -2 = j + 3*r, -n*j + 10 + 0 = r. Suppose -2*p + 2*v + 60 = 0, j*p = 2*p - v + 66. What is the highest common factor of 8 and p?", "a": "8" }, { "q": "Suppose -22 = 10*l - 12*l. Suppose 8 = -3*o + l. Let s = -6 + 15. Calculate the greatest common divisor of s and o.", "a": "1" }, { "q": "Suppose 0 = -17*c + 1236 + 67 + 295. What is the highest common divisor of 423 and c?", "a": "47" }, { "q": "Let y(m) = -6*m - 114. Suppose 0 = 11*p + 308 - 22. Let d be y(p). Calculate the greatest common divisor of d and 42.", "a": "42" }, { "q": "Let p = 1902 - 1758. Calculate the greatest common factor of p and 1044.", "a": "36" }, { "q": "Let d(b) = -b**3 + 8*b**2 + 6*b - 18. Let m(q) = -q**3 + 2*q**2 + 6*q + 3. Let z be m(-2). Let x be d(z). What is the greatest common divisor of x and 584?", "a": "73" }, { "q": "Suppose 75*h = -u + 79*h + 706, 3*u - 5*h - 2111 = 0. What is the highest common divisor of u and 216?", "a": "54" }, { "q": "Suppose -x = x + 3*j + 34, 0 = -5*x + 2*j - 47. Let v = x - -83. What is the highest common factor of 9 and v?", "a": "9" }, { "q": "Let w be (-10 - -6 - -32) + 1 + -3. Let x be 1*-10 + -4 - -2. Let i(d) = 3*d**2 + 16*d - 6. Let c be i(x). What is the highest common divisor of c and w?", "a": "26" }, { "q": "Let n(j) = 59*j**2 + 20*j - 11. Let h be n(3). Calculate the highest common factor of 1885 and h.", "a": "145" }, { "q": "Let d(j) = -61*j + 7. Let a be -1 - -6 - -1 - 4. Let n be d(a). Let w = n + 163. What is the highest common factor of 8 and w?", "a": "8" }, { "q": "Let c(d) = 17 - 37*d - 43 + 13 - 28*d. Let k be c(-6). What is the greatest common divisor of 29 and k?", "a": "29" }, { "q": "Suppose 2*w - 7 = -5*k, -k = -3*w - 1 + 3. Suppose -86*a - 90 = -41*a. Let g be 20 - w/a*(-5 + 7). What is the highest common divisor of g and 3?", "a": "3" }, { "q": "Let r = -342 - -174. Let z = r + 176. What is the highest common factor of 68 and z?", "a": "4" }, { "q": "Let m be (-63)/28*16/(-12). Suppose 3*o - 25 + 4 = m*l, 2*o - 5*l = 26. Suppose 2*d + o = 7. What is the greatest common divisor of d and 8?", "a": "2" }, { "q": "Suppose -2*o + 6*o = 0. Let q be (o - 0)/(-3 - -4). Suppose 5*r - 190 - 720 = q. What is the highest common divisor of r and 26?", "a": "26" }, { "q": "Suppose -71 = 6*o - 166 - 13. What is the highest common divisor of 90 and o?", "a": "18" }, { "q": "Let b be (-2 + 2)/(-2 + 1) - 32. Let k = b - -37. Suppose 84 = 3*f - 5*y, k*f - 4*f - 2*y - 28 = 0. Calculate the greatest common factor of f and 28.", "a": "28" }, { "q": "Let a(t) = -2*t**3 - 10*t**2 - 11*t + 44. Let l be a(-9). What is the highest common factor of 113 and l?", "a": "113" }, { "q": "Let n(m) = 7*m - 23. Suppose -4*q = -7*q - 57. Let v = q - -27. Let o be n(v). What is the greatest common factor of 66 and o?", "a": "33" }, { "q": "Suppose -4*a + 4 = -4. Let f be 2 + a*(-1 + 56). Suppose 2*r + 3*r = 4*t - f, -t + 21 = -3*r. Calculate the highest common divisor of t and 297.", "a": "33" }, { "q": "Let c = 2 - -15. Suppose 2*j = -3*g + 2*g + c, -3*g - 3*j = -66. Calculate the greatest common divisor of g and 72.", "a": "9" }, { "q": "Let z(o) = o**3 - 17*o**2 - 13*o - 191. Let s be z(20). Calculate the highest common divisor of 535 and s.", "a": "107" }, { "q": "Let p be (2/3)/((-16)/(-216)). Let z be p*((-16)/12 + 1). Let u be 2/3 - 70/z. Calculate the highest common factor of 3 and u.", "a": "3" }, { "q": "Let d(f) = -f**3 + 17*f**2 - 18*f - 40. Let v be d(15). Let n(y) = 14*y + 14. Let h be n(5). What is the highest common factor of v and h?", "a": "28" }, { "q": "Suppose -30*v = -43915 - 38585. Calculate the greatest common factor of v and 220.", "a": "110" }, { "q": "Let f(z) = 6*z**2 - 1. Let x be f(1). Suppose 123 = x*h + 43. Let u = -1 - -3. What is the greatest common factor of h and u?", "a": "2" }, { "q": "Suppose -74*t = -67*t - 3003. What is the greatest common divisor of 273 and t?", "a": "39" }, { "q": "Let j(i) = -6*i + 9. Let a be j(6). Let o = 94 - 120. Let m = o - a. What is the highest common divisor of 1 and m?", "a": "1" }, { "q": "Suppose 0 = -2565*y + 2563*y + 426 + 240. Suppose -2*u = 5*m - 94, 5 = u + m - 36. What is the highest common divisor of u and y?", "a": "37" }, { "q": "Let p be (-4)/16 - (-41)/4. Suppose 0 = 4*w, c - 425 = -4*c - w. Suppose -3*y + r = -2*y - c, -y - r = -75. Calculate the highest common divisor of y and p.", "a": "10" }, { "q": "Let t(j) = j**2 - 5*j - 24. Let i be t(12). Let q = i - 21. What is the greatest common factor of q and 78?", "a": "39" }, { "q": "Let d = -103 - -285. Suppose -3 = 5*m - y - 143, 0 = -4*m + 3*y + 112. What is the greatest common factor of m and d?", "a": "14" }, { "q": "Let r(s) = 2*s**2 + 17*s - 9. Let q be r(-10). Calculate the highest common factor of 6132 and q.", "a": "21" }, { "q": "Let x be 7748/3 + (-80)/48. What is the greatest common divisor of 89 and x?", "a": "89" }, { "q": "Suppose -4*r + 2319 = 3*g - r, 3*g = -5*r + 2327. Let z = g - 461. Let h be -2 + (28 + 1 - -1). What is the greatest common divisor of z and h?", "a": "28" }, { "q": "Suppose -4*a = 5*w - 266, -790*w + 213 = -786*w + 3*a. Calculate the highest common divisor of 456 and w.", "a": "6" }, { "q": "Let t(h) = h**2 - 5*h + 46. Let m be t(8). Let c = 46 + -32. What is the highest common factor of c and m?", "a": "14" }, { "q": "Suppose -y = 5*d - 33, y + 3 = -4*d + 5*d. Let z(t) = 8*t + 18. Let m be z(d). What is the highest common divisor of 6 and m?", "a": "6" }, { "q": "Suppose 4*o + 0*o + 5*x + 21 = 0, -3*x = o + 7. Let w be -18*(16/3)/o. Suppose 13*q - 53 - 37 = -12. Calculate the greatest common divisor of q and w.", "a": "6" }, { "q": "Suppose 14*m + 21*m = -43*m + 76518. What is the greatest common divisor of m and 18?", "a": "9" }, { "q": "Let r be (4 + 6)*(-11)/(-2). Let p(z) = z**2 + 26*z + 30. Let x be p(-25). Suppose 0 = -47*k + 48*k - x. Calculate the highest common factor of r and k.", "a": "5" }, { "q": "Suppose -3*d + 42 = z, 0 = -d - 0*d - 3*z + 22. Let v = -294 + 346. What is the greatest common factor of v and d?", "a": "13" }, { "q": "Let b(u) = u**3 + 17*u**2 + 59. Suppose -84 = 8*q + 52. Let o be b(q). Calculate the highest common factor of o and 236.", "a": "59" }, { "q": "Let b(n) = 4*n**2 - 13*n - 27. Let i be b(-5). Calculate the highest common divisor of i and 24.", "a": "6" }, { "q": "Let f(x) = -x**2 - 119*x + 84. Let i be f(0). What is the highest common factor of 105 and i?", "a": "21" }, { "q": "Let j = -224 + 233. Suppose 2*p = t - 4, 3*t - 39 - j = -3*p. What is the highest common factor of t and 30?", "a": "6" }, { "q": "Let h = -25 - -37. Let k(d) = 2*d**3 - 3*d**2 + 10*d. Let t be k(6). Suppose -n = -9*n + t. Calculate the greatest common divisor of h and n.", "a": "12" }, { "q": "Let o be ((-5)/(-2))/(1/2). Suppose -112*k + 110*k + 188 = 0. Suppose -k = o*a - 589. Calculate the highest common factor of 9 and a.", "a": "9" }, { "q": "Let k(d) = -72*d - 322. Let b(o) = 29*o + 129. Let u(q) = 12*b(q) + 5*k(q). Let a be u(-7). What is the greatest common factor of 418 and a?", "a": "22" }, { "q": "Suppose 27 = 2*o - 5*o. Let n = o - -19. Let r(d) = -4*d - 43. Let c be r(-17). Calculate the highest common factor of n and c.", "a": "5" }, { "q": "Let p(v) = -2*v**3 - 5*v**2 - 24*v - 123. Let y be p(-4). What is the greatest common factor of 93 and y?", "a": "3" }, { "q": "Suppose 0 = 7*q - 2*q. Suppose 4*r - 44 = -4*k, q*r = 2*r - k - 19. What is the highest common factor of 70 and r?", "a": "10" }, { "q": "Suppose 10*x - 14*x = 4*b - 656, -6 = -3*x. Calculate the greatest common factor of 297 and b.", "a": "27" }, { "q": "Let n be 656/30 + (-4)/(-270)*9. Let c = 38 - n. What is the greatest common factor of 208 and c?", "a": "16" }, { "q": "Let h = 1430 - 1428. What is the highest common divisor of h and 274?", "a": "2" }, { "q": "Let m be 1/(-2)*(-5 - 23). Let i = 597 - 569. What is the greatest common factor of i and m?", "a": "14" }, { "q": "Let j = 7 + -2. Let o = -2908 + 2913. Calculate the greatest common divisor of j and o.", "a": "5" }, { "q": "Let q be (-4)/(-1) + 5 + 217. Let f = q + -206. Calculate the highest common factor of f and 260.", "a": "20" }, { "q": "Suppose 256 = 43*j - 7*j - 104. Calculate the greatest common factor of 30 and j.", "a": "10" }, { "q": "Let t = 2185 + -2108. Let r be (-2*3/2)/(-1). Suppose -r*w + 11 = -22. What is the highest common divisor of t and w?", "a": "11" }, { "q": "Let f be 45 + ((-10)/(-35) - (1048/(-56) - -16)). Suppose 4*a = 20, 2*b = 4*b + 5*a - 77. Let v = -14 + b. What is the greatest common divisor of f and v?", "a": "12" }, { "q": "Let i(q) = -12*q - 1. Let j be i(3). Let v = 58 + j. Let z(g) = -g**2 - 8*g - 8. Let t be z(-5). Calculate the highest common divisor of v and t.", "a": "7" }, { "q": "Suppose -8*z + 243 + 317 = 0. Suppose -2*m - 4*v = -z, -m + v = -3*v - 23. Let o = m - 4. What is the highest common divisor of o and 3?", "a": "3" }, { "q": "Let x = -451 + 460. Let u(m) = m + 25. Let l be u(-10). Calculate the greatest common factor of x and l.", "a": "3" }, { "q": "Suppose -3*m + 39 = 4*f + 10, -2*m - 10 = 0. Let w be 6/f - 5340/(-132). Let q be -1 + 2 + (-1 - -41). What is the highest common divisor of q and w?", "a": "41" }, { "q": "Let j(x) = 147*x - 1464. Let d be j(12). Calculate the highest common factor of 1250 and d.", "a": "50" }, { "q": "Let a be 231 + -166 - (-3 + (-2)/(-1)). What is the highest common factor of 1023 and a?", "a": "33" }, { "q": "Suppose 0 = 5*n + 14 - 39. Let f(k) = 3*k**2 + 7*k + 2. Let c be f(n). Suppose 4436 = 185*j + 63*j - 2508. What is the highest common factor of c and j?", "a": "28" }, { "q": "Suppose -684 = -4*b + 1556. Let j(z) = z**3 + 25*z**2 - 88*z - 77. Let c be j(-28). What is the highest common factor of b and c?", "a": "35" }, { "q": "Suppose 0 = -d + 4*u + 1950, 5*d + 4398 = -5*u + 14273. Calculate the greatest common divisor of 30 and d.", "a": "10" }, { "q": "Let f(s) = -9*s + 44. Suppose -26 = -t - 3*t - 2*j, -t = 4*j - 24. Let w be f(t). Calculate the highest common factor of 24 and w.", "a": "8" }, { "q": "Let d(z) = -z - 10. Let p be d(-12). Let u(c) = 4*c**2 - 8. Let g be u(p). Calculate the highest common divisor of g and 184.", "a": "8" }, { "q": "Suppose -3*n - 3*x = -27, 4*n - x - 179 = -133. Calculate the greatest common divisor of n and 143.", "a": "11" }, { "q": "Suppose -2 = 4*p + 18. Let q be ((-16)/6)/(427/(-84) - p). What is the greatest common divisor of 4 and q?", "a": "4" }, { "q": "Let h be (-8)/(-36) - 106/(-9). Suppose 37 = 9*o + 19. Suppose m - p + 1 = 0, 0 = -0*m - o*m - 5*p + 33. Calculate the greatest common divisor of m and h.", "a": "4" }, { "q": "Suppose -4*a + 228 = -4*l, -5*a + 43*l = 40*l - 291. Let k = -64 - -76. What is the greatest common factor of k and a?", "a": "12" }, { "q": "Suppose 0 = 4*i - 11 - 1. Suppose -4*r + 12 = 4*g, -r - 11*g = -8*g - 5. Calculate the highest common factor of r and i.", "a": "1" }, { "q": "Let f be (-46)/(-5) + 1/(-5). Suppose 157 = 4*y - 3*m, -2*y - m = -f - 72. What is the highest common factor of y and 40?", "a": "40" }, { "q": "Let q be ((-12)/(-15))/(2/5). Let j be 2 - -33 - (4 - q). What is the greatest common factor of j and 3?", "a": "3" }, { "q": "Let g(l) = l**3 - 7*l**2 + 4*l - 19. Let a be g(7). Suppose 22 = a*m - 14. Calculate the greatest common factor of 124 and m.", "a": "4" }, { "q": "Suppose -10*m - 1414 - 2186 = 0. Let y be ((-4)/10)/(3/m). Let s = -37 + y. Calculate the greatest common factor of s and 33.", "a": "11" }, { "q": "Suppose 12*u - 4*u - 1336 = 0. Let v = -157 + u. Calculate the highest common factor of 190 and v.", "a": "10" }, { "q": "Let h = -7 + 9. Let w be 2 - (h + -4 + -2). Suppose w*s - 3*o - 15 = 3*s, 5*s - 4*o - 28 = 0. Calculate the greatest common divisor of s and 32.", "a": "8" }, { "q": "Suppose -30*v = -28*v - 22. Let q(n) = -n**3 + 8*n**2 - 4*n + 1. Let g be q(7). Suppose -517 = -5*a - g. Calculate the highest common divisor of a and v.", "a": "11" }, { "q": "Suppose 3*a = 8*a + 2*b + 10, -2*a - 10 = 2*b. Let c(t) = 3*t + 21. Let j be c(a). Let r = 34 + -27. Calculate the greatest common factor of j and r.", "a": "7" }, { "q": "Suppose -2*n - 8 = -3*h, -9 = -n + 4*h - 9*h. Let w(a) = 6*a**2 - a - 1. Let j be w(n). Suppose j*u - 4*u = 18. What is the highest common divisor of 9 and u?", "a": "9" }, { "q": "Suppose g + 24 = 3*z, -3*z + 22 = 5*g - 2. Let l be 3*(8/(-4) - -3). Suppose l*c + c = 4*u - 168, 4*c + z = 0. Calculate the highest common divisor of u and 16.", "a": "8" }, { "q": "Let o(d) be the third derivative of -7*d**4/24 - 5*d**3 + 64*d**2. Let p be o(-5). Calculate the greatest common factor of 95 and p.", "a": "5" }, { "q": "Let c(u) = -u**3 + 18*u**2 + 8*u + 36. Let d be c(19). Let k = d + 265. Calculate the greatest common factor of 69 and k.", "a": "23" }, { "q": "Let p = 273 + -162. Let n(z) = -z**3 + 8*z**2 + 13*z + 1. Let i = 213 + -204. Let v be n(i). What is the highest common divisor of v and p?", "a": "37" }, { "q": "Let j(y) = 123*y. Let u be j(-6). Let x be u/(-30) - (-9)/(-15). Suppose 6*z - x - 18 = 0. Calculate the highest common factor of 35 and z.", "a": "7" }, { "q": "Let b(y) be the second derivative of 2*y**3/3 - 7*y**2 + 66*y. Let z be b(6). Calculate the highest common divisor of z and 25.", "a": "5" }, { "q": "Let s = 201 - 77. Suppose r = 5*f + s, -2*f = -4*r + 169 + 309. Calculate the greatest common divisor of r and 14.", "a": "7" }, { "q": "Suppose 4*d - 2460 - 2633 = 3*f, 2*f = -2*d + 2550. What is the highest common factor of 294 and d?", "a": "98" }, { "q": "Suppose 121*k - 3289 - 311 = k. What is the greatest common divisor of 129 and k?", "a": "3" }, { "q": "Let y = 7 - -3. Let h(t) = -1110*t + 12. Let b be h(-2). Let w be (-4)/(-14) + b/28. Calculate the greatest common factor of w and y.", "a": "10" }, { "q": "Let p(t) = -61*t - 192. Let f be p(-5). Calculate the greatest common divisor of 1 and f.", "a": "1" }, { "q": "Let b = -171 + 176. Suppose 7*c - 8 = b*c. Calculate the highest common divisor of 44 and c.", "a": "4" }, { "q": "Let d(q) = 148*q - 463. Let j be d(4). What is the highest common divisor of 731 and j?", "a": "43" }, { "q": "Let c(k) = 4*k**2 - 9*k + 20. Let q be c(8). What is the greatest common divisor of 425 and q?", "a": "17" }, { "q": "Suppose 26*v + 60 = 22*v. Let y(k) = -4*k + 3. Let q(t) = 8*t - 7. Let s(h) = v*y(h) - 6*q(h). Let i be s(1). Calculate the highest common divisor of i and 6.", "a": "3" }, { "q": "Let k be (-4)/2 + 6 + 27. Let s = k - 28. Let h be 1*36 + (7 - s). What is the greatest common divisor of h and 10?", "a": "10" }, { "q": "Suppose 3*k + 14978 = 2*h + 8*k, 3*k = -3*h + 22449. Calculate the highest common divisor of 27 and h.", "a": "27" }, { "q": "Let z be ((-1288)/(-21) - -4)/((-10)/(-15)*1). Calculate the highest common divisor of 532 and z.", "a": "14" }, { "q": "Suppose -2566*n = -2565*n - 4176. Calculate the highest common divisor of 36 and n.", "a": "36" }, { "q": "Let u = 43 + -41. Let m be 6/u - (-4)/(-10)*5. Let r be (-2 - (-2 - m))*18. What is the greatest common factor of 2 and r?", "a": "2" }, { "q": "Suppose -1 = -2*s + 1. Suppose t + 9 = 4*o - 20, -o - t + s = 0. Suppose 60*a - 1647 = -207. What is the greatest common factor of o and a?", "a": "6" }, { "q": "Let c(i) = -3*i**2 - 10*i - 4. Let n be c(-3). Let g be (n - 0)*63/(-9) - 4. Let a = -5 + 29. What is the greatest common divisor of a and g?", "a": "3" }, { "q": "Suppose 5*r - 9 = -3*m + 4*m, r = -m + 3. Suppose 76 = r*h + 46. Let p(v) = 5*v**2 + 4*v. Let g be p(-5). Calculate the highest common factor of h and g.", "a": "15" }, { "q": "Suppose 229 = 23*s - 599. Let q = 187 + -127. What is the greatest common factor of q and s?", "a": "12" }, { "q": "Suppose -o - 248 = -360. What is the greatest common divisor of 616 and o?", "a": "56" }, { "q": "Suppose 3*d - 2*d + d = 0. Let i be (-126)/2 + -1 + d. Let m be -1 - i/(-4 + 8). What is the greatest common factor of 6 and m?", "a": "3" }, { "q": "Let u be (60 - (-4)/(-2)) + 0/3. Let l(q) = 36*q**3 + q**2 - q. Let d be l(2). What is the highest common divisor of u and d?", "a": "58" }, { "q": "Suppose 0 = 12*x - 39 - 9. Let f = -46 - -78. Let j be ((-1)/((-1)/f))/(x - 2). What is the greatest common divisor of 8 and j?", "a": "8" }, { "q": "Suppose 0 = -14*t + 503 + 575. Calculate the highest common factor of t and 70.", "a": "7" }, { "q": "Suppose g - 5*g = -652. Suppose 5*w + 5*p = g + 82, p - 94 = -2*w. Let s be -18*4/24*-3. What is the greatest common factor of w and s?", "a": "9" }, { "q": "Let i be 0 + 7 + -4 + 38. Let n = 42 - i. Suppose 0 = -2*s - 1 - n, 5*c + 3*s - 87 = 0. What is the highest common factor of c and 12?", "a": "6" }, { "q": "Let n be (4 + 1 + -1)*3. Let v = -961 + 1153. What is the greatest common divisor of n and v?", "a": "12" }, { "q": "Suppose 489*z = 466*z + 57132. Calculate the greatest common factor of 216 and z.", "a": "108" }, { "q": "Suppose 4*q = -d + 38, 9*d - 12*d + 4*q = -98. Let g(p) = 2*p + 6*p - 3*p + 2*p**2 - 3. Let h be g(-8). What is the highest common factor of d and h?", "a": "17" }, { "q": "Let v be -5*27/(-1 + -2). Suppose 0 = -5*t + 12 + 18. Suppose -t = f - 21. Calculate the greatest common factor of f and v.", "a": "15" }, { "q": "Let p be 5/(-30) - (-2706)/36. Let t(x) = -x**3 - 31*x**2 + 31*x + 13. Let o be t(-32). Calculate the highest common divisor of o and p.", "a": "15" }, { "q": "Let v be (-8)/(60/10*1/(-3)). Let w be -2 + (22 - v/(-2)). Suppose t + 4*t + 4*o = 157, -3*o = -4*t + 138. Calculate the greatest common divisor of t and w.", "a": "11" }, { "q": "Let c(w) = -w**3 - 31*w**2 + 32*w + 180. Let s be c(-32). Calculate the highest common factor of 252 and s.", "a": "36" }, { "q": "Let f(s) = -s**2 + 10*s + 1. Let h be f(10). Let n be 0/(2/4 - 30/(-20)). Let z be 128/8*(n + h). Calculate the greatest common divisor of z and 176.", "a": "16" }, { "q": "Let t(l) be the first derivative of l**2/2 - 2*l + 7. Let n be t(24). What is the greatest common factor of 22 and n?", "a": "22" }, { "q": "Let q(k) = k**2 + 78*k + 109. Let h be q(-77). Calculate the greatest common divisor of h and 1.", "a": "1" }, { "q": "Suppose -92 = x - 67. Let z be 15/(((-30)/x - -3) + -4). What is the greatest common factor of 125 and z?", "a": "25" }, { "q": "Suppose 2 = 3*f - 10. Suppose -f*y + 3 + 11 = 5*r, -3*r + 1 = -5*y. Let m(q) = 8*q - 41. Let w be m(6). What is the greatest common divisor of y and w?", "a": "1" }, { "q": "Let d = -98 - -30. Let n = -58 - d. Calculate the greatest common factor of 70 and n.", "a": "10" }, { "q": "Suppose -16*y = -10*y - 24. Let l be (y - 7) + (0 - 3 - -70). Calculate the greatest common divisor of 192 and l.", "a": "64" }, { "q": "Let p = 4206 - 3671. Calculate the highest common factor of 25 and p.", "a": "5" }, { "q": "Let v(a) = -107*a + 17. Let s be v(-1). Let j = s - 117. Calculate the greatest common divisor of 28 and j.", "a": "7" }, { "q": "Suppose -5*f = -25, 15 + 21 = -2*l + 2*f. Let y be l/(-26) + 63/6. Calculate the greatest common factor of y and 187.", "a": "11" }, { "q": "Let y = -104 + 139. Let v = -5 + y. Calculate the greatest common divisor of v and 45.", "a": "15" }, { "q": "Suppose -8*d + 6*d = -d. Suppose d = 5*h - 2*w - 910 - 88, h = 4*w + 196. Calculate the highest common divisor of 50 and h.", "a": "50" }, { "q": "Let q = -2681 + 4002. Let a = -775 + q. Suppose 0 = x + 5*x - a. Calculate the greatest common divisor of x and 13.", "a": "13" }, { "q": "Let y(s) = s**2 - 23*s - 125. Let u be y(-11). What is the highest common factor of u and 6?", "a": "3" }, { "q": "Let q(c) = -c**2 - 9 - 3 - 67*c + 50*c. Let s be 5*6/5*-2. Let b be q(s). What is the greatest common divisor of b and 12?", "a": "12" }, { "q": "Let l = -46 + 47. Suppose s - 2 = l. Suppose -5*h + 1624 = s*h. Calculate the highest common divisor of h and 29.", "a": "29" }, { "q": "Let z be (-324)/(-28) + (-12)/21. What is the greatest common divisor of z and 2673?", "a": "11" }, { "q": "Suppose -627*n + 631*n - 700 = 0. What is the highest common factor of 900 and n?", "a": "25" }, { "q": "Let y = 32 - 19. Suppose -2*i = -4*m - 6, 0 = 3*i + m - 5*m - y. Suppose 5*l - 21 = 4*d, 4*d = -3*l + i + 12. Calculate the greatest common factor of l and 20.", "a": "5" }, { "q": "Let q be (0 + (-282)/(-7))/(2/14) + -2. What is the greatest common factor of 480 and q?", "a": "40" }, { "q": "Let q be (382 - 0) + 6 + 1 + 1. Calculate the highest common factor of q and 100.", "a": "10" }, { "q": "Let d = 5 - -5. Suppose 9*o - 4*o = 105. Suppose 23*f - 30 = o*f. What is the highest common factor of d and f?", "a": "5" }, { "q": "Suppose -y - 4*q = -60, 3*y - 6*q - 7 - 155 = 0. Calculate the highest common divisor of y and 161.", "a": "7" }, { "q": "Let y be (18/6 + -7590)*(-2)/6. Suppose 5*u - 8*u - 5*s = -1875, -4*u + 3*s = -y. Calculate the highest common factor of u and 70.", "a": "70" }, { "q": "Let q be 6/18 + 100/6. Suppose -216 = -2*b - 6*b. Suppose b = -6*c + 333. What is the highest common factor of q and c?", "a": "17" }, { "q": "Let i be 1608/335*360/1. Calculate the greatest common factor of i and 16.", "a": "16" }, { "q": "Let h(c) = -c**3 + 26*c**2 - 18*c + 59. Let o be h(24). What is the highest common divisor of o and 133?", "a": "19" }, { "q": "Suppose -5*m - 2*p + 20086 = 0, 0 = -8*m - 5*p + 11019 + 21115. What is the greatest common divisor of 7 and m?", "a": "7" }, { "q": "Let p(k) = -229*k - 16231. Let l be p(-71). Suppose m - 2*m = -12. Let b be (-8)/m + (-46)/(-6). Calculate the highest common divisor of b and l.", "a": "7" }, { "q": "Let q(i) = 43*i - 385. Let c be q(21). What is the highest common factor of c and 21?", "a": "7" }, { "q": "Let k be 30/9 + 9/(-27). Calculate the greatest common divisor of 32 and k.", "a": "1" }, { "q": "Let v = 213 - 190. Suppose 0 = b - v*b + 132. What is the greatest common divisor of 48 and b?", "a": "6" }, { "q": "Let q be -3 + (0 + -2 - -1) + -8. Let f be (-3)/(-7) - -2 - q/21. Calculate the greatest common divisor of f and 15.", "a": "3" }, { "q": "Suppose 2*k - u - 16 = 0, -k - 3 - 3 = -4*u. Suppose -14*r - 2544 = -k*r. Let i = 951 + r. Calculate the greatest common factor of i and 35.", "a": "35" }, { "q": "Let i(j) = -j**2 + 11*j - 3. Let s = 156 - 147. Let l be i(s). Calculate the greatest common divisor of 105 and l.", "a": "15" }, { "q": "Let r(i) = i**2 + 6*i - 2. Let j be r(-8). Let n = j + 7. Let t = 4295 + -4274. Calculate the highest common factor of t and n.", "a": "21" }, { "q": "Let m be (-30)/(-12)*26/5. Suppose m*o - 15*o = 56. Let i = -23 - o. Calculate the highest common divisor of 10 and i.", "a": "5" }, { "q": "Let t(k) = k**2 - 11*k + 4. Let d be t(11). Let r = 13 + -8. Calculate the highest common factor of d and r.", "a": "1" }, { "q": "Let l(q) = -2*q**2 + 99*q - 349. Let r be l(34). Calculate the highest common factor of 6 and r.", "a": "3" }, { "q": "Suppose 0 = 179*j - 266*j + 4524. What is the highest common factor of 754 and j?", "a": "26" }, { "q": "Let y = 1 + 16. Suppose -6*d + 10*d - y = m, -m = 5*d - 28. What is the highest common factor of m and 21?", "a": "3" }, { "q": "Suppose -5*a - 3*f = -17, 5*f + 12 = -3*a + 19. Suppose 4*i = 3*w + 4, 0 = 5*i + 3*w - 7*w - a. What is the greatest common factor of 12 and i?", "a": "4" }, { "q": "Let y = -432 - -446. Calculate the greatest common factor of 28 and y.", "a": "14" }, { "q": "Suppose -10*p - 26*p + 10*p = -546. Calculate the greatest common factor of p and 1470.", "a": "21" }, { "q": "Let a = 3441 - 3089. What is the highest common factor of a and 864?", "a": "32" }, { "q": "Suppose -4*i = -b + 300 - 34, 5*i = 5*b - 1345. Let o = 17 - 12. Suppose -o*d = -b + 30. What is the greatest common divisor of 16 and d?", "a": "16" }, { "q": "Let x(c) be the third derivative of 7*c**4/24 - 5*c**3/3 - 23*c**2. Let h be x(3). What is the highest common divisor of 99 and h?", "a": "11" }, { "q": "Suppose -35*t + 30*t = -4*g + 652, t + 652 = 4*g. Calculate the greatest common divisor of g and 326.", "a": "163" }, { "q": "Suppose -2*l = -129 - 69. Let d(o) = -o**3 + 15*o**2 - 11*o - 20. Let s be d(14). Calculate the greatest common divisor of l and s.", "a": "11" }, { "q": "Let l be (7 + 30 - 7) + 0/2. Let p(t) = t + 65. Let j be p(-20). What is the highest common divisor of l and j?", "a": "15" }, { "q": "Suppose -13685 = -9*y - 26*y. Suppose -4*f = -58 - 10. What is the highest common divisor of y and f?", "a": "17" }, { "q": "Let g(i) = 37*i + 757. Let z be g(-15). What is the highest common factor of 505 and z?", "a": "101" }, { "q": "Suppose 5*w + 11 = 3*o, 5*o - 8 = -w - w. Suppose 2*f - 36 = -3*y, -f - 3*y = o*y - 32. What is the highest common divisor of f and 300?", "a": "12" }, { "q": "Suppose 4*l + j - 870 = 0, 5*l + 85*j - 83*j = 1089. What is the highest common factor of l and 7?", "a": "7" }, { "q": "Let v(l) = -l**2 - 16*l + 99. Let g be v(-20). Suppose -2*m + 6 = -d, -4*m - 3*d = d + 12. Calculate the highest common divisor of g and m.", "a": "1" }, { "q": "Suppose -30*v = 569 - 1769. Calculate the greatest common factor of v and 3240.", "a": "40" }, { "q": "Let s(p) = p**3 - 22*p**2 - 22*p - 18. Let v be s(23). Suppose -5*h = -i + 107, -v*i + h + 3*h = -472. What is the highest common factor of 69 and i?", "a": "23" }, { "q": "Let b = -2750 + 2955. What is the greatest common divisor of b and 10?", "a": "5" }, { "q": "Suppose -3*k + 4*i = -3964, -23704 = -8*k - 10*k + 4*i. What is the greatest common divisor of k and 28?", "a": "28" }, { "q": "Let u(j) = j**2 - j. Let h be u(-4). Let p(l) = -12*l + 8*l + 44 + 8*l. Let y be p(4). Calculate the highest common factor of h and y.", "a": "20" }, { "q": "Suppose 81*d + 192 = 87*d. Let b = d + -21. Suppose -5 = -4*g - 3*u + 80, 0 = 4*g - 2*u - 90. What is the highest common divisor of b and g?", "a": "11" }, { "q": "Let p be 1*4/20 - 162/(-15). Let r(b) = b + 182. Let a be r(-6). What is the highest common divisor of p and a?", "a": "11" }, { "q": "Suppose 36*r - 30*r = 1032. Let o = -131 + r. Calculate the greatest common divisor of 451 and o.", "a": "41" }, { "q": "Let w = -13 + 15. Let g(c) = 20 - 15 - 21 - w*c. Let l be g(-17). What is the greatest common divisor of l and 9?", "a": "9" }, { "q": "Let g be (-1)/((0 + -3)/21). Suppose -2*y + g = j, -4*y = -3*y - j - 11. Suppose y*m = -196 + 1924. Calculate the highest common factor of 32 and m.", "a": "32" }, { "q": "Let x = 35 - 33. Let a be (3 - 5) + (-522)/x. Let t be (a + -1)/((-30)/40). Calculate the greatest common factor of 32 and t.", "a": "32" }, { "q": "Let b be (-25)/(-4*1/120). Calculate the greatest common factor of b and 30.", "a": "30" }, { "q": "Let s be 2/8 - 94/(-8). Let j(o) = o + 4. Let a be j(3). Let i = a - -41. What is the highest common factor of s and i?", "a": "12" }, { "q": "Let c(u) = 10*u**2 - 88*u + 75. Let v be c(-15). Calculate the highest common divisor of v and 15.", "a": "15" }, { "q": "Suppose 3*g = 12 + 33. Suppose 0 = g*f - 512 - 58. What is the highest common divisor of f and 418?", "a": "38" }, { "q": "Suppose 2*l - 4*w + 25 = 3*l, -6 = -2*l + 3*w. Suppose -3 = -4*u + l. Let z be u + (-4 - 0 - -18). Calculate the highest common factor of z and 68.", "a": "17" }, { "q": "Suppose 4*x + 107 + 13 = 0. Let k be (-5090)/(-75) + (-4)/x. Suppose k = 4*i - 0*i. Calculate the greatest common divisor of 85 and i.", "a": "17" }, { "q": "Let c be 168 - (2 - -6)*1. Let x be 9*1 + 1/1. What is the greatest common divisor of x and c?", "a": "10" }, { "q": "Suppose -781 = -x + z, 118*z = x + 116*z - 782. Calculate the highest common factor of x and 84.", "a": "12" }, { "q": "Let s = -1783 - -1888. What is the greatest common divisor of 483 and s?", "a": "21" }, { "q": "Suppose 5*u + 15 = 0, 596 = 10*f - 6*f - 4*u. What is the greatest common divisor of 2 and f?", "a": "2" }, { "q": "Let g(l) = l - 3*l**2 + 10*l**2 + 2*l - 6. Let s(a) = 5*a - 204. Let j be s(42). Let m be g(j). What is the greatest common factor of 24 and m?", "a": "24" }, { "q": "Suppose -14883 = 5*r - 14903. Calculate the greatest common factor of r and 250.", "a": "2" }, { "q": "Suppose 5 = s - 3*w, 0 = 6*s - s - 3*w - 25. Suppose 3*a - 22 = -f, s*a - f = -2*f + 38. What is the greatest common factor of 56 and a?", "a": "8" }, { "q": "Suppose -5*x + 2*x = -24. Let w = -3147 + 3203. Calculate the highest common divisor of x and w.", "a": "8" }, { "q": "Suppose b - 3 = -0*b + 4*d, b = -5*d + 30. Let x = -266 + 160. Let t = 14 - x. What is the greatest common factor of t and b?", "a": "15" }, { "q": "Suppose -3256*p + 3258*p = 234. Calculate the greatest common factor of 1014 and p.", "a": "39" }, { "q": "Let w(a) = a - 18. Suppose -5*k + 6*k - 13 = 0. Let y be w(k). Let z be -2 - 135/y - -1. Calculate the greatest common factor of 182 and z.", "a": "26" }, { "q": "Let g be 187 - (-3 + 0/2). Let v(k) = 82*k + 448. Let m be v(-5). What is the greatest common divisor of g and m?", "a": "38" }, { "q": "Let t(q) = 5*q**2 - q + 2. Let i be (1/4)/(-1)*(10 + -14). Let b be t(i). Let p = -10 + 58. Calculate the highest common factor of p and b.", "a": "6" }, { "q": "Let m = 1818 + -1191. Calculate the greatest common factor of m and 99.", "a": "33" }, { "q": "Let n(a) = -a**3 + 2*a**2 + 23. Let v be n(-4). What is the greatest common divisor of v and 102?", "a": "17" }, { "q": "Suppose j + 5*t - 27 = -2, -4 = 4*t. Suppose -12 = 12*g - 13*g. Let i be 3 - ((-9)/g)/(3/12). What is the greatest common divisor of j and i?", "a": "6" }, { "q": "Let r(d) = -d**3 - 21*d**2 - 3*d + 4. Let j be r(-21). Suppose 7*o + 38 = -j. Let l = o - -19. Calculate the greatest common divisor of 32 and l.", "a": "4" }, { "q": "Let q(s) = -155*s**3 + 4*s**2 - s - 3. Let v be q(-1). Let p = v - 123. Calculate the greatest common factor of 272 and p.", "a": "34" }, { "q": "Suppose s - 151 + 2002 = z, -5*s = 4*z - 7395. Calculate the highest common factor of 125 and z.", "a": "25" }, { "q": "Let p be (-311)/(-622) - 2*(-391)/4. Calculate the greatest common divisor of 14 and p.", "a": "14" }, { "q": "Let q = 109 + 31. Suppose 0 = -2*a - 4, 2*a - q = 6*u - 2*u. Let t be (-480)/u + (-1)/3. What is the highest common factor of t and 52?", "a": "13" }, { "q": "Let j be 4/3 - (-924)/63. Let w be (-756)/(-14)*(1 + (-2)/4). Suppose -2*d - w = -75. Calculate the greatest common divisor of j and d.", "a": "8" }, { "q": "Let i be ((-6)/(-5))/(9/600). Let j(q) = -q**3 + 22*q**2 - 8*q - 17. Let x be j(13). Suppose x = 11*u - 4*u. What is the highest common divisor of i and u?", "a": "40" }, { "q": "Let t = -1151 + 1740. Suppose -587*y = -t*y + 144. What is the highest common factor of 16 and y?", "a": "8" }, { "q": "Suppose 2*u - 23*u = 26*u - 94. Calculate the highest common factor of u and 766.", "a": "2" }, { "q": "Let a(v) = 56*v - 2. Let l(c) = -c**3 - 5*c**2 - c - 3. Let q be l(-5). Let x be a(q). Let o = 315 - 293. Calculate the greatest common factor of x and o.", "a": "22" }, { "q": "Let g be (-384)/256 - (-2)/(4/543). Calculate the highest common divisor of g and 50.", "a": "10" }, { "q": "Let d(c) = -13*c + 93. Let b be d(-18). Suppose 8*p = 3*v + 5*p - b, 0 = 2*v - 4*p - 216. What is the greatest common divisor of 22 and v?", "a": "22" }, { "q": "Let f be (-767)/(-59) - -25*3. What is the highest common factor of f and 440?", "a": "88" }, { "q": "Let a(d) = d**3 + 62*d**2 + 62*d + 111. Let p be a(-61). Calculate the highest common factor of p and 400.", "a": "50" }, { "q": "Let b be (-17)/((-1122)/(-12)) - ((-6738)/33 - 3). Calculate the greatest common factor of 368 and b.", "a": "23" }, { "q": "Let x = 4096 - 2345. What is the greatest common factor of 34 and x?", "a": "17" }, { "q": "Suppose 2*y + 6 = -3*p, 6*y + 2*p + 4 = y. Let l be (112/(-8))/(y - 1). Calculate the highest common divisor of 266 and l.", "a": "14" }, { "q": "Let s(a) = a**3 - 19*a**2 - 41*a - 16. Let g be s(21). Suppose 1093 = g*u + 3*x, -5*u = -0*x - 5*x - 1125. What is the highest common factor of u and 17?", "a": "17" }, { "q": "Suppose 13*v = 3*v + 660. Suppose 0 = 5*p + p - v. Let r be (p - -58) + (1 - 4). What is the greatest common divisor of 11 and r?", "a": "11" }, { "q": "Let s = 1206 - 1187. Calculate the greatest common factor of 76 and s.", "a": "19" }, { "q": "Let z(o) = 43*o**2 - 177*o - 54. Let w be z(13). What is the highest common divisor of 16 and w?", "a": "16" }, { "q": "Let y be (-100)/15*18/(-5). Let a(b) = b**2 + b**2 - 25 + 9 - y*b. Let h be a(13). What is the greatest common factor of 70 and h?", "a": "10" }, { "q": "Suppose 0 = -z - 2*d + 30, 2 = 2*z + d - 46. Let c(y) = -109*y - 346. Let s be c(-6). What is the greatest common factor of z and s?", "a": "22" }, { "q": "Suppose 3224*n - 3230*n + 1386 = 0. Let o = 38 + 28. What is the highest common factor of o and n?", "a": "33" }, { "q": "Let w be ((-7)/3)/((-6)/36). Suppose 3*m - 115*g - 467 = -120*g, 4*m - g - 615 = 0. Calculate the highest common divisor of w and m.", "a": "14" }, { "q": "Let i = -145 + 226. Suppose 0 = 3*j - 99 - i. Calculate the greatest common factor of 60 and j.", "a": "60" }, { "q": "Let h(o) = -4*o - 82. Let b be h(-10). Let g = b - -82. Let d = 247 + -87. What is the greatest common factor of d and g?", "a": "40" }, { "q": "Let m(s) = s + 19. Let h be m(-8). Suppose -10*u - 22 = -h*u. What is the greatest common factor of 4 and u?", "a": "2" }, { "q": "Let f = -4018 + 4031. What is the highest common factor of f and 64?", "a": "1" }, { "q": "Suppose -2*i + 3*g = 33, i + 3*i = -2*g - 74. Let h = 27 + i. Let x = -56 - -74. Calculate the highest common factor of h and x.", "a": "9" }, { "q": "Suppose 5*s - 110 + 0 = 0. Suppose 9*l = 2*m + 4*l - 636, 0 = -3*l - 12. What is the greatest common divisor of s and m?", "a": "22" }, { "q": "Suppose -4*h = -p + 315, 133*p = 129*p + 3*h + 1260. Calculate the highest common divisor of 189 and p.", "a": "63" }, { "q": "Let o be 48/4*87/6*(-4)/(-8). What is the highest common factor of o and 3?", "a": "3" }, { "q": "Suppose -45*k + 75520 = 35*k. Calculate the highest common factor of 59 and k.", "a": "59" }, { "q": "Let q(z) = -z**2 + 12*z - 15. Let t be q(10). Let f = -496 + 631. What is the highest common factor of t and f?", "a": "5" }, { "q": "Let o be (0 - 1) + 20/((-4)/(-2)). Let i = -35 - -39. Let z be -4*(60/16 - i). Calculate the highest common factor of z and o.", "a": "1" }, { "q": "Suppose 4185 = 4*y + 3*f, 3*f - 6*f = -y + 1065. Calculate the greatest common factor of y and 63.", "a": "21" }, { "q": "Let y(h) = -136*h + 1142. Let g be y(5). Calculate the greatest common factor of 84 and g.", "a": "42" }, { "q": "Suppose 2*s + 2*s = 36. Suppose -3 = f, 5*h - 10 = -f - 3. Suppose -3*j = -2*i - h*i - 19, 4*i = -4*j + 44. Calculate the greatest common divisor of j and s.", "a": "9" }, { "q": "Let u(n) = -5*n + 150 + 167 - 239 + 3*n. Let o be u(10). Calculate the greatest common divisor of o and 87.", "a": "29" }, { "q": "Suppose 3036 = 65*r - 35*r - 26*r. What is the greatest common divisor of 33 and r?", "a": "33" }, { "q": "Let q = -2184 + 2327. What is the greatest common factor of 517 and q?", "a": "11" }, { "q": "Suppose 2*z - 3366 = -z. Calculate the highest common factor of z and 153.", "a": "51" }, { "q": "Suppose -2*u = -9*u + 938. Let i = 143 - u. Calculate the highest common divisor of 261 and i.", "a": "9" }, { "q": "Suppose 6*a - 2*a = 16. Suppose p - 12 = -d, -3 - 5 = -a*p + 4*d. Let x be (4 + -2)/2 + 6. What is the greatest common factor of x and p?", "a": "7" }, { "q": "Let r be (-574)/(-16) + (-141)/(-1128). Let l be (-72)/10*35/(-2). What is the highest common divisor of l and r?", "a": "18" }, { "q": "Suppose 3*a = 8*a + 3*i - 185, 0 = -2*a + 2*i + 90. Let h = 194 - 26. Let w = h + -108. What is the highest common divisor of w and a?", "a": "20" }, { "q": "Let f be (4 - (-4 + 11))/3. Let y be (-6)/(0 - 1) + f. Suppose -4*s - y*s + 180 = 0. What is the highest common divisor of 60 and s?", "a": "20" }, { "q": "Let b(i) = 26*i - 15. Suppose -2*o + 5*x = -3*o + 10, -5*x = 4*o - 25. Let y be b(o). Calculate the highest common divisor of 69 and y.", "a": "23" }, { "q": "Let z = 823 + -824. Let d = 8 - 12. Let n be z/((3/30)/(10/d)). What is the highest common factor of n and 10?", "a": "5" }, { "q": "Let r(y) = 16*y**2 + 32*y + 7. Let i(s) = -8*s**2 - 15*s - 3. Let q(d) = -13*i(d) - 6*r(d). Let n be q(-3). Calculate the greatest common divisor of 15 and n.", "a": "15" }, { "q": "Let h be -1*471/(-9) + (-7)/21. Let b(o) = o**3 + 16*o**2 - 5*o + 217. Let x be b(-17). What is the highest common divisor of h and x?", "a": "13" }, { "q": "Suppose 0 = 21*c - 25*c + 20. Suppose 0 = -5*i - 3*t + 132, -66 - 46 = -c*i + 2*t. Let o = i - -8. What is the greatest common divisor of 16 and o?", "a": "16" }, { "q": "Suppose x + 2*x - 221 = -10*x. What is the highest common factor of x and 6103?", "a": "17" }, { "q": "Let x = -21 - -39. Suppose 5*z - 4*h - 44 = 0, -3*z + 37*h = 39*h - 44. Calculate the greatest common divisor of z and x.", "a": "6" }, { "q": "Let o be -1*(-21)/(-35) - (-2556)/10. What is the greatest common divisor of o and 2125?", "a": "85" }, { "q": "Let z be ((-14)/(-16) - 39/104)*12. Let w = z - -30. What is the greatest common factor of 54 and w?", "a": "18" }, { "q": "Let u be (-2)/(119/121 - 4 - -3). Let j be (-2)/(-8) - (-1925)/44. Let k = u - j. Calculate the highest common divisor of k and 11.", "a": "11" }, { "q": "Let a = 120 + -116. Let u be (68/(-1))/((-2)/a). Calculate the greatest common divisor of u and 51.", "a": "17" }, { "q": "Let s(c) = -8*c + 55. Let u be s(6). Calculate the greatest common factor of u and 210.", "a": "7" }, { "q": "Suppose 0 = 8*z - 7*z - 21. Suppose -2*o = -z - 19. Suppose 3*v + 4*w - 980 = 0, -v + 347 = w + o. Calculate the highest common divisor of v and 41.", "a": "41" }, { "q": "Suppose 3*a - 162 = 3*x, x - 124 + 10 = -2*a. Calculate the greatest common factor of a and 184.", "a": "8" }, { "q": "Let k be (-12)/((1/8)/((-16)/16)). Calculate the highest common factor of k and 1608.", "a": "24" }, { "q": "Let g be (-604)/(-10) - (-38)/(-95). Calculate the greatest common factor of g and 230.", "a": "10" }, { "q": "Suppose 0*l - 2*l + o = -72, 5*o + 10 = 0. Let w(x) = 6*x - 145. Let j be w(l). Calculate the highest common divisor of j and 26.", "a": "13" }, { "q": "Let b be 20/(-15) + 176/6. Let f(m) = m**2 + m + 12. Let c be f(-9). What is the highest common divisor of b and c?", "a": "28" }, { "q": "Let y(k) = -2*k**3 + 43*k**2 - 9*k + 108. Let c be y(21). Calculate the highest common divisor of 120 and c.", "a": "120" }, { "q": "Let c = 4 + -6. Let y be (-45)/c + 1/(-2). Suppose 3*b - 5*g = 56, 1479*g + 12 = b + 1474*g. What is the greatest common factor of y and b?", "a": "22" }, { "q": "Suppose 0*z + z + 5087 = -5*k, 0 = 5*k - 5*z + 5105. Let p be 25/(-30) - k/(-12)*-1. Let f = -159 - -285. What is the highest common factor of f and p?", "a": "42" }, { "q": "Suppose -16*t = -14*t. Suppose 0 = 3*b + 2*y + y - 24, t = 4*y + 16. Let p be 1718/13 - (-14)/(-91). What is the highest common factor of p and b?", "a": "12" }, { "q": "Let m(g) = -g**3 + 51*g**2 - 33*g + 1723. Let z be m(51). Let r be 601/3 + (-2)/6. What is the greatest common divisor of z and r?", "a": "40" }, { "q": "Suppose -5*w + 19 = 4, 5*q + 4*w - 3852 = 0. Calculate the highest common divisor of 24 and q.", "a": "24" }, { "q": "Let p(y) = 7*y**2 + 45*y - 123. Let d be p(3). What is the greatest common divisor of 240 and d?", "a": "15" }, { "q": "Let j = 172 + -175. Let x be 1*j*(-2 + -1 + -2). What is the highest common divisor of x and 15?", "a": "15" }, { "q": "Let b = 47 - 48. Let g(s) = 2*s + 3. Let k be g(b). Let n be k/3 - (-140)/12. What is the greatest common factor of n and 12?", "a": "12" }, { "q": "Let t be (3 - (-29 + -3)) + -3. Suppose t - 472 = -2*v. Suppose j + 80 = 5*j. What is the highest common factor of v and j?", "a": "20" }, { "q": "Let c(h) = -h**3 - 30*h**2 - 26*h + 68. Let w be c(-29). Let y = w + 23. Calculate the highest common divisor of 6 and y.", "a": "2" }, { "q": "Let h be -3 - -1 - (-1 + -253). Let a = -82 + h. Let t be 14 + (8 - 62)*-1. What is the greatest common divisor of t and a?", "a": "34" }, { "q": "Let t(z) = -z**2 + 2*z - 5 + 21 - 13. Let h be t(0). Let m = 15 + -12. Calculate the greatest common divisor of m and h.", "a": "3" }, { "q": "Let b(o) = o**2 - 6*o. Let t be b(7). Suppose 74*i + 6 = 73*i. Let h = i + t. Calculate the greatest common divisor of h and 1.", "a": "1" }, { "q": "Let x be (2 - -1)/((-3)/(-18)). Suppose -2*d - x = -3*d. Suppose -15*y + 3423 - 1263 = 0. What is the highest common factor of d and y?", "a": "18" }, { "q": "Let o = -1406 + 1403. Suppose -y - 3*k = 19, y + 5*k + 13 = 4*y. Let t be (47 - y)/3 - o. What is the highest common factor of t and 30?", "a": "10" }, { "q": "Let s be (21/(-6))/((10/1650)/((-330)/25)). Calculate the greatest common factor of 11 and s.", "a": "11" }, { "q": "Suppose 118*b - 130*b = -432. Calculate the highest common divisor of 108 and b.", "a": "36" }, { "q": "Let s(w) = -30*w + 1056. Let r be s(32). What is the highest common divisor of r and 204?", "a": "12" }, { "q": "Let o(a) = -a**2 + 17*a - 1. Let w be o(11). Let g(d) = -118*d - 289. Let m be g(-3). What is the highest common divisor of w and m?", "a": "65" }, { "q": "Let h be ((-9)/21)/((-16013)/41272 - 6/(-16)). Calculate the greatest common factor of 528 and h.", "a": "33" }, { "q": "Let v be 24/(-10)*10/(-4). Suppose v*c + 8*c = 5474. Calculate the highest common divisor of c and 23.", "a": "23" }, { "q": "Let b(w) = 50*w**3 - 8*w**2 + 3*w - 1. Let m be b(1). What is the greatest common divisor of m and 16?", "a": "4" }, { "q": "Let y(h) = -h**3 - h**2 + 76*h - 132. Let i be y(7). Suppose z - 10 = -2*x, -z - 5*x + 31 = 2*z. What is the greatest common factor of i and z?", "a": "4" }, { "q": "Let f be (280/42)/(1 + 42/(-45)). Let j be -5 - (f/(-2) + 1). What is the highest common factor of 11 and j?", "a": "11" }, { "q": "Let w(a) = -a**2 - 2*a - 167. Let d be w(0). Let x = d - -182. Calculate the greatest common factor of x and 345.", "a": "15" }, { "q": "Let v(c) = 6*c**2 + c - 1. Let u be v(1). Let l(f) = 290*f + 646. Let x be l(-2). What is the greatest common factor of x and u?", "a": "6" }, { "q": "Let q(a) = -a + 15. Let p = -24 + 14. Let r = p + 14. Let c be q(r). What is the highest common divisor of c and 55?", "a": "11" }, { "q": "Suppose -4*v - 2*n = -24, 2*v - 1163*n = -1162*n + 20. Calculate the highest common factor of v and 64.", "a": "8" }, { "q": "Suppose -3*w = -3*b + 6048, 0 = w - 8 + 3. Calculate the greatest common factor of 141 and b.", "a": "47" }, { "q": "Suppose 10*o - 18*o + 72 = 0. Suppose 2*a + o*a - 33 = 0. What is the greatest common divisor of a and 1?", "a": "1" }, { "q": "Suppose 0*f = -t + 3*f - 303, -2*t - 595 = 5*f. Let q = 315 + t. Let r = -26 - -161. What is the highest common divisor of r and q?", "a": "15" }, { "q": "Let o be (1 + -17)/(6/(-60)). Suppose -1 = -2*y + 5*z, 7*z + 7 = 2*y + 4*z. Let f be o - (8/10)/(y/(-20)). Calculate the greatest common divisor of 18 and f.", "a": "18" }, { "q": "Suppose 11*j - 9*j - 3*z - 140 = 0, 52 = j + 3*z. Calculate the highest common factor of 288 and j.", "a": "32" }, { "q": "Let b(g) = 34*g - 53. Let v be b(5). Suppose 121*p = v*p + 308. Calculate the highest common factor of p and 11.", "a": "11" }, { "q": "Let p(r) = -9*r**2 + 366*r + 84. Let y be p(40). Calculate the highest common factor of 24 and y.", "a": "12" }, { "q": "Suppose 9*y - 20*y + 66 = 0. Suppose -13*n + 546 = -y*n. Calculate the highest common divisor of n and 6.", "a": "6" }, { "q": "Let h = -223 - -223. Suppose h = 5*n - n - t - 97, 3*n + 2*t - 70 = 0. Calculate the greatest common factor of 56 and n.", "a": "8" }, { "q": "Let u(v) = 12*v**2 + v - 1. Let m be 1 - -1 - (-3)/6*-2. Let g be u(m). Calculate the greatest common factor of g and 6.", "a": "6" }, { "q": "Let g(x) = -111*x - 712. Let h be g(-7). Calculate the greatest common divisor of 2665 and h.", "a": "65" }, { "q": "Suppose 0 = 4*a + 2*w - 4*w - 260, -a + 62 = -2*w. Calculate the highest common divisor of 319 and a.", "a": "11" }, { "q": "Let o(u) = 117*u + 759. Let p be o(-6). Suppose -b = z - 170, 2*z - 4*b = b + 347. What is the highest common divisor of z and p?", "a": "57" }, { "q": "Let v(j) = -3*j - 45. Suppose 169 = -7*l + 8. Let b be v(l). What is the greatest common factor of b and 9?", "a": "3" }, { "q": "Suppose 5*d = 27 - 47, -3*d + 3857 = r. Calculate the greatest common divisor of r and 53.", "a": "53" }, { "q": "Suppose -5 + 18 + 23 = 2*t. What is the highest common divisor of 37 and t?", "a": "1" }, { "q": "Let i = -2117 + 3698. What is the greatest common factor of i and 93?", "a": "93" }, { "q": "Let t = 31 - -2259. What is the greatest common divisor of t and 10?", "a": "10" }, { "q": "Suppose -3*u - 4*o + 7562 = 0, 0*u = 3*u + 5*o - 7558. Calculate the highest common factor of u and 6.", "a": "6" }, { "q": "Let w be (-42)/147 + 2944/14. Let d be 1/(4/120) - 2. Let p = 2 + d. Calculate the greatest common divisor of w and p.", "a": "30" }, { "q": "Suppose 60*z - 699 + 1214 = 14195. What is the highest common divisor of 76 and z?", "a": "76" }, { "q": "Let l(k) = -31*k + 628. Let u be l(-59). What is the greatest common factor of 189 and u?", "a": "189" }, { "q": "Suppose -4*u + 28 = -4*s, 5 - 1 = 4*s + 4*u. Let w be s*(-4 + (-7)/(-3)). Let m be -2 + 1 + (-48)/(-4 - -1). What is the highest common divisor of w and m?", "a": "5" }, { "q": "Suppose 0 = -2*s + 3*h + 137, 12*s - 116 = 10*s - 4*h. Suppose -4*a + 36 = 4. Calculate the greatest common divisor of a and s.", "a": "8" }, { "q": "Suppose -2*z + 4 = -4. Suppose 5*y - 180 = z*y. Suppose 0 = -3*t - 2*d + 54, t + d + 83 = 5*t. What is the highest common divisor of y and t?", "a": "20" }, { "q": "Suppose 51*v = 50*v + 2. Let d be 3276/70 + (v/10 - 0). Calculate the greatest common divisor of 94 and d.", "a": "47" }, { "q": "Suppose 672 = 185*o - 171*o. What is the greatest common factor of 212 and o?", "a": "4" }, { "q": "Suppose 0 = 4*h + y - 215, 0 = 5*h - 118*y + 116*y - 272. Calculate the highest common factor of h and 378.", "a": "54" }, { "q": "Let o be 22/110*12*110/3. Calculate the highest common divisor of o and 506.", "a": "22" }, { "q": "Let d = -4610 - -4650. What is the greatest common factor of d and 100?", "a": "20" }, { "q": "Suppose -g = -o - 38, -38 - 66 = -2*g - 5*o. Suppose -b + g = -8. Suppose -t = -b - 1. Calculate the highest common factor of 17 and t.", "a": "17" }, { "q": "Let d = 2770 + -2710. Calculate the highest common factor of 24 and d.", "a": "12" }, { "q": "Suppose -n - 1065 = -5*l, 4*l + 83*n - 85*n = 858. What is the highest common divisor of l and 371?", "a": "53" }, { "q": "Suppose 144*w - 1859 = 61*w + 4449. What is the greatest common factor of w and 2774?", "a": "38" }, { "q": "Suppose -t = 1 - 0, 0 = 3*i - 4*t - 10. Suppose 0 = -0*y - i*y + 330. What is the highest common factor of 15 and y?", "a": "15" }, { "q": "Let d = -2979 - -4083. Calculate the greatest common divisor of 46 and d.", "a": "46" }, { "q": "Suppose -g + 75 = 5*t, 3*t = 2*g - 0*t - 150. Calculate the greatest common divisor of 60 and g.", "a": "15" }, { "q": "Suppose -j + 1193 = x, 0 = -10*j + 8*j + 4*x + 2368. What is the greatest common divisor of j and 210?", "a": "70" }, { "q": "Suppose -3*v + 117 = -4*f, 8*v = 5*v - 3*f + 96. What is the highest common factor of v and 40?", "a": "5" }, { "q": "Let y(n) be the second derivative of n**5/10 - 5*n**4/12 + n**3/2 - n**2 - 4*n + 2. Let d be y(4). What is the greatest common divisor of 29 and d?", "a": "29" }, { "q": "Let k(d) be the first derivative of 9*d**2/2 - 48*d + 38. Let y be k(7). What is the highest common factor of 5 and y?", "a": "5" }, { "q": "Let z = 392 + -381. Let c be 22/6*(-10)/(40/(-156)). What is the greatest common divisor of c and z?", "a": "11" }, { "q": "Let f(z) = -z + 7. Let d be f(0). Suppose 6*u - d - 17 = 0. What is the highest common factor of u and 60?", "a": "4" }, { "q": "Let g = 27 + -23. Suppose -4*c + g*k + 220 = 0, -5*c + 3*k = -399 + 126. Suppose 8*w = 2*w + c. Calculate the greatest common divisor of w and 6.", "a": "3" }, { "q": "Suppose q - 387 = -2*q + h, -5*h = 0. Suppose 5 = i, -3*u - 3*i = -q - 3. Let o be 6/10 + -4 + 738/45. What is the greatest common factor of o and u?", "a": "13" }, { "q": "Suppose -r - 2720 = -2*z, 366 + 994 = z + 5*r. What is the highest common divisor of z and 80?", "a": "80" }, { "q": "Let h be 143 + (-11 - 0/(-3)). Calculate the greatest common factor of h and 12.", "a": "12" }, { "q": "Suppose 4*u - 74 - 166 = 0. Let y be 158627/3311 - -1*(-2)/(-22). What is the greatest common divisor of u and y?", "a": "12" }, { "q": "Let u = 2667 - 1579. Suppose 9*g + u = 3428. Calculate the greatest common divisor of g and 20.", "a": "20" }, { "q": "Suppose m - 72 = -2*l, -m - 2*l + 344 = 4*m. Suppose 42 = -u + m. What is the greatest common factor of u and 91?", "a": "13" }, { "q": "Let z be ((-6)/(-4))/(18/(-96)). Let j = z + 17. Let w(c) = -c**3 + 3*c**2 + 9*c + 5. Let v be w(-4). Calculate the greatest common factor of j and v.", "a": "9" }, { "q": "Suppose -h - 151 + 493 = h. Calculate the greatest common divisor of h and 38.", "a": "19" }, { "q": "Let m = 46 + -16. Let a be (-1)/((3/m)/(-1)). Suppose 2 = -d + 3*b, -4*b + 36 = 2*d - 0*b. Calculate the greatest common divisor of a and d.", "a": "10" }, { "q": "Suppose -4*l + 19*b + 222 = 26*b, 42 = l - 5*b. What is the highest common factor of l and 559?", "a": "13" }, { "q": "Suppose 10*q - 175 = 5*q. Let o = 306 - 291. What is the highest common factor of o and q?", "a": "5" }, { "q": "Let b be (1 - (-1274)/3) + 274/(-411). What is the greatest common factor of 200 and b?", "a": "25" }, { "q": "Suppose 2*h - i = 688 - 511, 319 = 4*h + 5*i. Calculate the highest common factor of 688 and h.", "a": "86" }, { "q": "Suppose -4*b = -4*w - 2*b + 608, 0 = 2*w + 2*b - 292. Suppose -z = -3*r + 163, 62 = 4*r + 4*z - w. What is the greatest common divisor of 378 and r?", "a": "54" }, { "q": "Let h be 33/2*(2034/45)/((-6)/(-10)). Calculate the highest common divisor of h and 452.", "a": "113" }, { "q": "Suppose 6107 = 3*h - 5*s, -5*h + 5604 = 2*s - 4626. What is the greatest common divisor of h and 28?", "a": "28" }, { "q": "Suppose -i - 53 = -u, -2*i + 0*i = 3*u - 139. What is the highest common factor of 98 and u?", "a": "49" }, { "q": "Suppose 6342*a + 540 = 6354*a. Suppose -n - 22 = -142. Calculate the greatest common factor of n and a.", "a": "15" }, { "q": "Let w = 10 + 3. Suppose -42*t + 1155 = -483. Calculate the highest common divisor of w and t.", "a": "13" }, { "q": "Suppose 0 = -56*d + 18*d - 29*d + 36582. Calculate the greatest common divisor of d and 336.", "a": "42" }, { "q": "Suppose 4*c + 5 = 5*c. Suppose c*z + p - 142 = 0, -3*z - 2*p + 98 = 10. Let r(g) = g. Let x be r(4). Calculate the greatest common factor of z and x.", "a": "4" }, { "q": "Suppose d = -3*y - 637, -173 - 41 = y + 2*d. Let b = 239 + y. Calculate the highest common divisor of b and 135.", "a": "27" }, { "q": "Suppose -2*a = -4*a + 10. Suppose -3*x + g = -2, 5*x + 7*g = 3*g + 26. Suppose x*j - 5 = a. What is the highest common factor of 5 and j?", "a": "5" }, { "q": "Suppose 0 = 21*q - 10*q - 55. Suppose -84 = -4*z - 12*v + 7*v, q*z - 105 = -4*v. What is the greatest common divisor of 6 and z?", "a": "3" }, { "q": "Let k(x) = 13*x + 15. Let p = -3 + 3. Suppose 3*n - l = -n + 24, p = -5*l - 20. Let m be k(n). What is the greatest common divisor of m and 10?", "a": "10" }, { "q": "Let p be (-2)/(-5) + 256/160. Suppose 0*z - 4*c = -2*z, 0 = -3*z + 4*c + p. What is the greatest common factor of 14 and z?", "a": "2" }, { "q": "Let m be 58835/(-82)*(-8)/14. What is the highest common factor of m and 20?", "a": "10" }, { "q": "Let a(f) = 2*f**2 + 28*f - 3. Let z be a(-15). Let j be ((-81)/z)/(((-2)/(-126))/(-1)). Calculate the greatest common factor of 27 and j.", "a": "27" }, { "q": "Let m = -26 - -40. Suppose 5*u + 657 = -4*u. Let g = 129 + u. What is the greatest common factor of g and m?", "a": "14" }, { "q": "Let m be (0 + 4 + -5)*-4. Let l be (6/m)/(21/560). Suppose -l = 6*a - 8*a. Calculate the highest common factor of a and 50.", "a": "10" }, { "q": "Let w = 3864 + -3786. Calculate the highest common factor of w and 390.", "a": "78" }, { "q": "Suppose -3*y - 1 + 59 = q, -5*q = -2*y - 358. Suppose -2*g - 7 = -15. Suppose g*p + i - 11 = 3*p, -5*p = i - 51. What is the greatest common divisor of q and p?", "a": "10" }, { "q": "Suppose 4*d - 4*m = 28, -10*d + 53 = -5*d + 4*m. Calculate the greatest common divisor of d and 3969.", "a": "9" }, { "q": "Let m(i) = i**3 - 5*i**2 + i + 4. Let c be m(4). Let s be ((c/(-3))/(-4))/((-4)/78). Let j = s - 6. Calculate the greatest common factor of j and 7.", "a": "7" }, { "q": "Suppose 0 = -3*c - 3, p - 50 = 5*c - 11. Let k(d) = -d**3 + 4*d + 176. Let h be k(0). Suppose 5*v - h = 249. What is the greatest common factor of p and v?", "a": "17" }, { "q": "Let f be (60/35)/(-4 + 1830/455). Calculate the greatest common factor of f and 546.", "a": "78" }, { "q": "Suppose -13*m + 7601 = 1595. What is the greatest common factor of 660 and m?", "a": "66" }, { "q": "Let i = 6 - 3. Suppose 14 = f + 12. Let g be f/(47/15 + -3). What is the highest common factor of g and i?", "a": "3" }, { "q": "Let f(y) = y**2 - 5*y - 748. Let u be f(-25). What is the greatest common divisor of 57 and u?", "a": "1" }, { "q": "Let x = 11 - 6. Let g(s) = -5*s**2 - 3*s**3 + s**2 + 0*s**3 - 3*s + 4*s**3 - 8. Let b be g(x). What is the greatest common factor of b and 6?", "a": "2" }, { "q": "Suppose 0 = 5*v - 5, 0*d + 3*d = 5*v + 1. Suppose 80*i - 74*i = 72. Suppose 24 - i = 6*z. Calculate the greatest common factor of d and z.", "a": "2" }, { "q": "Let n be 2/(-14) + (-6)/(-126)*1179. Let o = 66 - n. Calculate the highest common divisor of o and 20.", "a": "10" }, { "q": "Suppose -1750 + 1615 = -15*n. What is the highest common divisor of n and 3447?", "a": "9" }, { "q": "Let u be 405*(-2)/6*1*-4. Let x = 774 - u. Suppose 36 + x = 3*b. Calculate the greatest common factor of 10 and b.", "a": "10" }, { "q": "Let r(q) = 38*q - 346. Let z be r(15). Calculate the greatest common factor of 434 and z.", "a": "14" }, { "q": "Suppose 8260 = -722*z + 726*z. Calculate the highest common factor of z and 7.", "a": "7" }, { "q": "Let p = -4626 + 4653. Calculate the highest common factor of p and 66.", "a": "3" }, { "q": "Suppose -1916 = -4*p - r + 247, 0 = -2*p + 4*r + 1104. Let h = p - 322. What is the highest common divisor of h and 20?", "a": "20" }, { "q": "Let w = -71 + 101. Let l be (0 - 0) + (25 - 11). Suppose l*m - 5*m - 180 = 0. Calculate the greatest common factor of w and m.", "a": "10" }, { "q": "Let m be -74*10/(-40)*10. What is the highest common factor of m and 50?", "a": "5" }, { "q": "Let u = -41 - -44. Suppose -u*d + 28 = 5*a - 35, 2*d = -3*a + 38. What is the highest common divisor of a and 84?", "a": "12" }, { "q": "Suppose 9*q = -172 + 1657. Suppose 34 - 133 = -9*v. Calculate the highest common divisor of q and v.", "a": "11" }, { "q": "Suppose -435 = -2*k + r + 79, -3*k - 5*r + 758 = 0. Calculate the highest common divisor of 544 and k.", "a": "32" }, { "q": "Suppose 0 = 8*f + 11*f - 38. Suppose f*l + 1601 = g + 2*g, -2*g = 5*l - 1061. What is the highest common factor of 41 and g?", "a": "41" }, { "q": "Let p(x) be the second derivative of -x**5/20 + x**4/3 - x**3/3 - x**2/2 - 4*x - 4. Let r be p(-4). Calculate the greatest common factor of 27 and r.", "a": "27" }, { "q": "Suppose 3*v = 3*d + 138, 2*v - 5*d + 37 - 123 = 0. Calculate the greatest common factor of 1308 and v.", "a": "12" }, { "q": "Suppose 8*u + 78 = 6*u. Let d = 95 + u. Let o = d - 24. What is the greatest common factor of o and 80?", "a": "16" }, { "q": "Let b(v) = v**3 - 9*v**2 + 9*v - 5. Let g be b(8). Suppose 0 = -7*h + 185 + 67. Suppose -g*d - h = -144. Calculate the highest common factor of 24 and d.", "a": "12" }, { "q": "Let y be (1 - 2)*-2 - -10. Suppose -181*o = -161*o - 240. What is the highest common factor of o and y?", "a": "12" }, { "q": "Suppose 22*n - 2490 = -589 + 1795. Suppose -z = 4*o - 37, 5*z - z = 4*o + 68. Calculate the highest common divisor of n and z.", "a": "21" }, { "q": "Let l be (-348)/(-2)*(-3 - (-87)/6 - 5). Calculate the highest common divisor of 174 and l.", "a": "87" }, { "q": "Let n = -104 - -105. Let d be (-10 - -17)/(((-1)/(-5))/n). What is the highest common divisor of 10 and d?", "a": "5" }, { "q": "Let c(r) = 8*r - 13. Let a be c(3). Let n(f) = -9*f - 4*f - f - 6 + a*f. Let q be n(-6). Calculate the greatest common divisor of q and 84.", "a": "12" }, { "q": "Suppose 4200 = -11*d + 4343. What is the highest common divisor of d and 8567?", "a": "13" }, { "q": "Let b be 3*(-14)/(420/(-130)). Let c = 629 - 447. What is the greatest common divisor of b and c?", "a": "13" }, { "q": "Suppose 82 = -37*d + 637. Calculate the greatest common factor of d and 57.", "a": "3" }, { "q": "Suppose -4*o + 16*t + 174 = 14*t, 0 = o - t - 45. Let d = -22 + 127. What is the highest common factor of o and d?", "a": "21" }, { "q": "Suppose -96*v + 5*y - 10 = -91*v, 4*v = 3*y - 5. Let u(l) = l**3 - 5*l**2 + 3*l. Let a be u(4). Let t = a + 7. What is the highest common divisor of t and v?", "a": "1" }, { "q": "Let q be ((2 - 5)/(-12))/((-3)/(-192)). Suppose v = 4*c, v + 3*c + 0*c = 7. Calculate the highest common factor of v and q.", "a": "4" }, { "q": "Suppose 126*q = 130*q - 168. Suppose -8*f + 86 = -q. Calculate the greatest common divisor of 48 and f.", "a": "16" }, { "q": "Let i be ((-46)/69)/(2/1) + (-22686)/(-18). What is the highest common divisor of 175 and i?", "a": "35" }, { "q": "Suppose 5*h - 3*h - 4*j = 22, -5*h + 4*j + 25 = 0. Let n(m) = 8*m**3 - m**2 - m + 2. Let a be n(h). What is the greatest common factor of 56 and a?", "a": "8" }, { "q": "Let a(s) = -7*s - 4. Let u be a(-3). Suppose -27133 = -495*k + 82262. What is the greatest common divisor of u and k?", "a": "17" }, { "q": "Let z = -1098 - -1118. Calculate the highest common divisor of 2290 and z.", "a": "10" }, { "q": "Let l(w) = 875*w**2 + 206*w - 206. Let v be l(1). What is the greatest common factor of v and 245?", "a": "35" }, { "q": "Suppose 2*n = -5*b + 27, 22*b - 20*b - 12 = -n. Let j be ((-34)/4)/(2/(-12)). What is the greatest common divisor of b and j?", "a": "3" }, { "q": "Let q(f) = 15*f - 759. Let x be q(74). Calculate the highest common divisor of x and 312.", "a": "39" }, { "q": "Suppose -55*a - 531 = 5*a - 1611. What is the highest common divisor of a and 729?", "a": "9" }, { "q": "Suppose 28*i + 5*i = -18*i + 3315. Calculate the greatest common divisor of 4 and i.", "a": "1" }, { "q": "Let v be (((-392)/70)/1)/((3/(-210))/1). Calculate the highest common divisor of 112 and v.", "a": "56" }, { "q": "Suppose -4*f = -566 + 150. Let t be 2/((-124)/624 + 4/16). Suppose 10*q = 7*q + t. Calculate the highest common factor of f and q.", "a": "13" }, { "q": "Let g be ((-49)/(-14))/1 + (-6)/(-4). Suppose 0 = 8*p + g - 21. What is the greatest common divisor of p and 8?", "a": "2" }, { "q": "Let w = 4 - -84. Calculate the highest common divisor of w and 649.", "a": "11" }, { "q": "Suppose -88*f = -540 - 148 + 160. Let a be (1 - 1) + 13*6. What is the greatest common factor of a and f?", "a": "6" }, { "q": "Suppose 2*m = -6, 3*w - 105 = 18*m - 14*m. Calculate the greatest common divisor of 341 and w.", "a": "31" }, { "q": "Let p(o) = o**3 + 15*o**2 + 41*o + 9. Let h be p(-4). Let i = 226 + -79. Calculate the highest common divisor of h and i.", "a": "21" }, { "q": "Suppose -2*o - 7 - 1 = 0. Let l be o/(3 - -1) - -3. Let w be (1 - -1) + (2 - -2 - l). Calculate the highest common factor of w and 6.", "a": "2" }, { "q": "Let s be 1*56 - (31 - 25). Let q = 82 - s. What is the greatest common divisor of 12 and q?", "a": "4" }, { "q": "Let x be (-185)/(-45) - (-9)/(-54)*(-4)/(-6). What is the highest common divisor of x and 956?", "a": "4" }, { "q": "Let t = 1508 + -1505. What is the highest common divisor of 219 and t?", "a": "3" }, { "q": "Let i(d) be the second derivative of d**4/6 + d**3/3 - 51*d**2/2 + 5*d. Let c be i(0). Let v = -27 - c. What is the highest common divisor of v and 12?", "a": "12" }, { "q": "Let q = -577 - -614. What is the greatest common factor of 1147 and q?", "a": "37" }, { "q": "Suppose -5*s = 4*q - 2425, 2*s = -s - 2*q + 1457. Suppose 4*y - 5*j = s, 0*y - y + j + 123 = 0. Calculate the highest common factor of y and 28.", "a": "14" }, { "q": "Let h(a) = 11*a + 608. Let m be h(-3). What is the greatest common divisor of 69 and m?", "a": "23" }, { "q": "Let l = 4807 - 4587. What is the greatest common factor of l and 165?", "a": "55" }, { "q": "Let k = 626 + 5084. Calculate the highest common factor of 10 and k.", "a": "10" }, { "q": "Let r = -61 + -127. Let c = r - -260. What is the greatest common factor of 54 and c?", "a": "18" }, { "q": "Let q(a) = a**2 - 7*a + 45. Let d be q(15). Let k = d + 198. Calculate the greatest common divisor of 33 and k.", "a": "33" }, { "q": "Let p(i) = 7*i - 37. Let l be p(10). Let f(h) = 3*h - 85. Let m be f(l). Calculate the highest common divisor of 56 and m.", "a": "14" }, { "q": "Suppose -5 - 16 = -7*c. Let f be -3*2/c + (-3 - -130). Suppose -2*l + 126 + 129 = 3*j, -j + f = l. Calculate the greatest common factor of 40 and l.", "a": "40" }, { "q": "Let i be 10/8 + 3302/104 - -7. What is the highest common factor of i and 205?", "a": "5" }, { "q": "Let z = 4561 - -40. Calculate the highest common factor of z and 43.", "a": "43" }, { "q": "Suppose r + 47 = 104. Suppose 0 = -w - 15 + r. Let q be (-3)/2*-18 + 1. Calculate the highest common factor of q and w.", "a": "14" }, { "q": "Let i = -75 + 79. Let r be 1*(i - (0 + 7)) + 123. Calculate the highest common divisor of r and 15.", "a": "15" }, { "q": "Let v(w) = -w**2 + 11*w - 6. Let r be v(10). Suppose 12 = 4*c - r. Suppose 5*l + 5*y = 0, -2 + 18 = 4*l - c*y. Calculate the highest common factor of l and 2.", "a": "2" }, { "q": "Let f(w) = -10*w**3 - 3*w**2 - 33*w + 26. Let o be f(-6). Calculate the highest common factor of 4 and o.", "a": "4" }, { "q": "Let c = 21 - 20. Let j be 55 + -3 + c + -4. Let g = 14 + j. What is the greatest common factor of 7 and g?", "a": "7" }, { "q": "Let c be (114 - 4)*(26/4 + -2). Let v = c - 243. Suppose v = 3*f + 3*u, 0*u - 3*u - 258 = -3*f. Calculate the highest common divisor of f and 34.", "a": "17" }, { "q": "Let c be ((-2)/(-3))/(3/36). Suppose -4*z - 220 = -c*z. Let d = 11 + -6. What is the highest common factor of d and z?", "a": "5" }, { "q": "Suppose w + y + 306 = 3*w, 3*w = -3*y + 450. Calculate the greatest common factor of 95 and w.", "a": "19" }, { "q": "Let q = -3684 - -3912. What is the greatest common factor of 969 and q?", "a": "57" }, { "q": "Let m = 4 - 1. Suppose 3*n + 4*l = 408, l = -m*n - l + 414. Suppose 271 = 5*f + 3*o, 2*f - 3*f + 4*o + 68 = 0. What is the highest common divisor of n and f?", "a": "28" }, { "q": "Let y(h) = h**2 + 18*h - 783. Let c be y(-41). Calculate the greatest common divisor of 520 and c.", "a": "40" }, { "q": "Let n be (0 + -5)*36/(-5). Let h = n - 33. Suppose -59 = -5*r + 3*v, -h = 3*r + 2*v - 27. What is the greatest common divisor of 5 and r?", "a": "5" }, { "q": "Suppose 6673 - 25020 = -149*f + 6238. What is the greatest common divisor of 429 and f?", "a": "33" }, { "q": "Suppose 0 = 5*p - 21*p + 176. Suppose -26*y = -1296 - 706. Calculate the highest common divisor of p and y.", "a": "11" }, { "q": "Suppose 3*z + 5*c + 26 = 0, 3*z - 2 = 2*c - 0. Let w be (-27 - z)/5*56/(-10). Let a = 45 - w. What is the greatest common factor of a and 68?", "a": "17" }, { "q": "Let n(t) = -2*t**3 + 4*t**2 + 35*t + 4. Let l be n(-4). What is the greatest common divisor of 2408 and l?", "a": "56" }, { "q": "Suppose t + 3*f = 11, t - 32 = -t - 4*f. Let r = t - -79. Suppose 60 = 3*b + b. What is the greatest common divisor of b and r?", "a": "15" }, { "q": "Let r be 5280/42 + (-6)/(-21). Calculate the greatest common divisor of r and 266.", "a": "14" }, { "q": "Let c(r) = 4*r + 15. Suppose -52 + 322 = 18*p. Let l be c(p). What is the greatest common factor of l and 45?", "a": "15" }, { "q": "Suppose 20124 = 28*t - 38*t + 23*t. Calculate the highest common divisor of t and 36.", "a": "36" }, { "q": "Let u be (2/2)/((-2)/(-60)). Suppose 24*l - 105 = 17*l. Calculate the highest common factor of u and l.", "a": "15" }, { "q": "Suppose 26*c - 319 = -3*d + 31*c, 0 = 4*d + c - 433. Calculate the highest common divisor of d and 504.", "a": "36" }, { "q": "Suppose 5*r - 264 = 3*q + 193, 0 = -3*r - 5*q + 281. Calculate the greatest common factor of 414 and r.", "a": "46" }, { "q": "Let q be 1508/18 + 12/54. Let m = -27 - -47. Suppose 2*g - 4 - m = 0. What is the greatest common divisor of q and g?", "a": "12" }, { "q": "Suppose -7*b + 16*b - 20241 = 0. Calculate the highest common factor of 52 and b.", "a": "13" }, { "q": "Let r be (-13176)/(-2562)*(20*1)/((-6)/(-7)). What is the greatest common factor of 880 and r?", "a": "40" }, { "q": "Suppose 3*s = 2*s + 46. Let j = 29 - s. Let d = -8 - j. What is the greatest common divisor of 6 and d?", "a": "3" }, { "q": "Suppose -6*i + 180 = 6*i. Let o(x) = 10*x**2 - 2*x + 3. Let b be o(2). Suppose -3*w = -i - b. Calculate the highest common factor of 45 and w.", "a": "9" }, { "q": "Let j = 29 + -14. Suppose 0 = -2*x - 3 - 5. Let o be (-2)/x + 445/10. Calculate the highest common divisor of o and j.", "a": "15" }, { "q": "Let j = -16 - -104. Suppose -5*b + j = -b. Suppose 0 = u + 5*g - 31, 3*u + 2*g = -u + 52. Calculate the greatest common divisor of b and u.", "a": "11" }, { "q": "Let w(s) = -16*s**2 + 366*s + 13. Let h be w(15). Calculate the greatest common factor of 11 and h.", "a": "11" }, { "q": "Let p = -861 - -910. Calculate the highest common factor of p and 343.", "a": "49" }, { "q": "Let u(q) = -q**3 - 26*q**2 + 81*q - 53. Let x be u(-29). Calculate the greatest common factor of x and 176.", "a": "11" }, { "q": "Let x = 1668 - 1479. Calculate the highest common factor of x and 7.", "a": "7" }, { "q": "Let f be 306/7 + (22/28 - 3/6). What is the greatest common divisor of f and 1804?", "a": "44" }, { "q": "Let f be 0 - 46/(-14) - (-22)/(-77). Suppose f*c + c = 352. Suppose 63 - 15 = 2*r + 2*v, 3*r - c = v. Calculate the greatest common divisor of 7 and r.", "a": "7" }, { "q": "Suppose i - 66 = -2*l, 0 = 3*i + 16*l - 18*l - 222. Calculate the greatest common factor of 2088 and i.", "a": "72" }, { "q": "Suppose 2*c - 453 - 317 = -210. What is the greatest common factor of c and 455?", "a": "35" }, { "q": "Suppose 29*v - 10962 = 12*v - 10*v. What is the greatest common divisor of v and 4?", "a": "2" }, { "q": "Let d(b) = b**3 - 4*b**2 + 5*b - 2. Let x be d(3). Let z = 24 - 20. What is the highest common factor of x and z?", "a": "4" }, { "q": "Suppose -31*t = -3957 + 795. What is the highest common divisor of 42 and t?", "a": "6" }, { "q": "Let h(j) = 16*j**2 - 131*j - 400. Let x be h(-3). Calculate the greatest common divisor of 2603 and x.", "a": "137" }, { "q": "Let i = 3616 + -3530. Calculate the greatest common factor of i and 301.", "a": "43" }, { "q": "Let l(y) = y**2 - 6*y. Let x be l(8). Let g = -157 + 242. Let c = 93 - g. Calculate the greatest common divisor of x and c.", "a": "8" }, { "q": "Let q = -283 - -758. What is the highest common factor of 152 and q?", "a": "19" }, { "q": "Suppose -57 - 983 = -2*h + 272. Calculate the greatest common divisor of 41 and h.", "a": "41" }, { "q": "Suppose 5*u - i = 2*u + 14, -2 = -2*i. Suppose c - u*c = -100. Let m = -4 + c. What is the highest common divisor of 21 and m?", "a": "21" }, { "q": "Let b(t) be the third derivative of -t**4/12 + 11*t**3/3 - 2*t**2. Let s be b(-7). Let o = 42 - s. Calculate the highest common factor of 15 and o.", "a": "3" }, { "q": "Let u be 7/(-3) - -2 - (-278735)/321. What is the highest common divisor of 56 and u?", "a": "28" }, { "q": "Let n be 19 + (-5 - 1)*(-70)/(-84). What is the highest common divisor of n and 5?", "a": "1" }, { "q": "Let c(f) = -f**2 + f + 1. Let s(u) = -u**2 + 5*u + 1. Let p = 4 - 8. Let d(t) = p*c(t) + s(t). Let i be d(3). Calculate the greatest common divisor of 27 and i.", "a": "27" }, { "q": "Let u be (-11 + 12)/(198/201 + -1). Let j = u - -255. Calculate the highest common factor of 47 and j.", "a": "47" }, { "q": "Let u be 5/(3 - (-4 + 6)). Suppose -b = -5*r + 170, -r + b + 13 = u*b. What is the greatest common divisor of r and 33?", "a": "33" }, { "q": "Suppose -46*s + 15688 = 28*s. Calculate the highest common divisor of 20 and s.", "a": "4" }, { "q": "Let t = 3966 - 3962. What is the greatest common factor of t and 290?", "a": "2" }, { "q": "Let s be ((-3948)/(-14))/(0 - -1). Let x = -226 + s. What is the highest common divisor of x and 616?", "a": "56" }, { "q": "Suppose -13*f + 3*f + 15552 = 2*f. Calculate the highest common factor of 405 and f.", "a": "81" }, { "q": "Let t(k) = -81*k + 2. Let f be t(-5). Let a(z) = 4*z**3 + 3*z**2 - 9*z + 11. Let p be a(2). What is the highest common factor of p and f?", "a": "37" }, { "q": "Let o(x) = -x**2 - 11*x + 7. Let p be o(-7). Let j = p - 9. Suppose -3*f = -j - 49. Calculate the highest common factor of f and 50.", "a": "25" }, { "q": "Let z(v) = -v**3 + 21*v**2 + v - 18. Let w be z(21). Suppose -4*r - 50 = -3*h, -r = -5*h + w*r + 86. Calculate the highest common factor of 90 and h.", "a": "18" }, { "q": "Let j = -38 + 44. Suppose -2*i + j*i - 552 = 0. Suppose 0 = 5*c + c - i. What is the highest common divisor of c and 92?", "a": "23" }, { "q": "Suppose 0 = -6*c - 9 + 27. Let r(n) = 133*n - 19. Let x be r(c). Calculate the highest common divisor of 20 and x.", "a": "20" }, { "q": "Let x(y) = -y**2 - 4*y + 1. Let r be x(-3). Suppose 4*f + 164 = r*t, -3*t + 4*f + 124 = -0*t. Calculate the highest common divisor of 50 and t.", "a": "10" }, { "q": "Suppose 0 = -7*p + 11*p - 8. Suppose -9*f = -p*f - 161. Let d(l) = 58*l + 10. Let o be d(3). Calculate the greatest common factor of o and f.", "a": "23" }, { "q": "Let z(b) be the third derivative of b**6/60 + b**5/12 - b**4/8 - 5*b**3/6 + 27*b**2 + 2*b. Let d be z(3). What is the greatest common divisor of d and 51?", "a": "17" }, { "q": "Let y(l) = l**2 - 20*l + 94. Let f be y(13). Suppose 5 - 1 = 2*z. Suppose -z*k + n + 16 = -f*n, n - 38 = -3*k. What is the highest common factor of k and 30?", "a": "6" }, { "q": "Suppose -2*p = -2, 5*m + 2*p + 124 + 404 = 0. Let a = -91 - m. Calculate the greatest common factor of 405 and a.", "a": "15" }, { "q": "Let p(f) = -2*f**3 - 35*f**2 - 149*f + 11. Let i be p(-4). Calculate the highest common factor of 1400 and i.", "a": "175" }, { "q": "Let j = 227 - 173. Suppose c - 3 - j = 2*i, -5*c = -4*i - 279. What is the highest common factor of 11 and c?", "a": "11" }, { "q": "Let i be (39/(-15))/((-3)/15). What is the highest common factor of i and 1157?", "a": "13" }, { "q": "Let q(v) = 10*v + 26. Let c be q(-2). Suppose 276 = -c*b + 1464. Let f(p) = p**2 + 2. Let y be f(-4). What is the greatest common divisor of b and y?", "a": "18" }, { "q": "Suppose c - 15 = -15. Suppose 2*x - x - 1 = c, 4*x = -3*o + 10. Suppose 4*s + o*a = a + 63, a = 3. What is the highest common factor of 30 and s?", "a": "15" }, { "q": "Let k be ((-16)/(-6))/(9 + -11) - (-528)/18. What is the greatest common factor of k and 434?", "a": "14" }, { "q": "Suppose -179*j + 181*j - 136 = -5*u, -j = -2*u - 59. What is the greatest common factor of 1911 and j?", "a": "21" }, { "q": "Suppose 492*d - 488*d + 5*t = 1000, 3*d - 2*t - 750 = 0. Let v = 37 - -63. Calculate the highest common factor of d and v.", "a": "50" }, { "q": "Let y = 4 - 3. Let d = -304 + 289. Let i(p) = -7*p - 96. Let o be i(d). Calculate the greatest common factor of y and o.", "a": "1" }, { "q": "Let b(v) = -v**2 + 20*v - 72. Let p be b(7). Suppose 227 = 10*l + 37. What is the highest common divisor of p and l?", "a": "19" }, { "q": "Suppose -7*n + 20*n = -10*n + 5957. What is the greatest common factor of n and 28?", "a": "7" }, { "q": "Suppose 192 - 206 = 2*y + 4*u, 0 = y - 2*u - 25. Let b = 199 + -127. Calculate the highest common divisor of b and y.", "a": "9" }, { "q": "Let p be (2 + -1)/(16/5136). Let a = p + -201. Calculate the greatest common factor of 15 and a.", "a": "15" }, { "q": "Let w = 148 + -113. Suppose 40*x = w*x + 1850. Calculate the greatest common divisor of x and 37.", "a": "37" }, { "q": "Suppose -9814 = -5*m - 4*s - 3224, -15 = -3*s. What is the highest common factor of m and 146?", "a": "146" }, { "q": "Let i = 224 - 208. Suppose i*y - 25*y + 45 = 0. Calculate the greatest common factor of y and 155.", "a": "5" }, { "q": "Let h(j) = -2*j**2 - 36*j - 27. Let y be h(-17). Let u = 312 + -249. What is the highest common factor of y and u?", "a": "7" }, { "q": "Suppose 18*m - 2250 = -40*m + 13*m. What is the highest common factor of 3025 and m?", "a": "25" }, { "q": "Let c be 20/5*(-4)/(-6)*3. Suppose 2*t + 1 = 9. Suppose 2*r = -2, -3*r = -t*v - r + 10. Calculate the highest common factor of c and v.", "a": "2" }, { "q": "Suppose -4*p + 3116 = 3*f, -4*p + 1231 = -4*f - 1857. What is the highest common divisor of 16 and p?", "a": "8" }, { "q": "Suppose 6*l + 2*x - 34 = 2*l, 0 = -5*l - 3*x + 43. Let r be (180/l)/(4/8). Suppose -4*q + 90 = -q. Calculate the highest common factor of r and q.", "a": "15" }, { "q": "Let x(v) = v - 11. Let l be x(18). Suppose l*s = 10*s - 21. Let u(d) = 3*d**2 - 4*d + 3. Let t be u(4). What is the greatest common factor of t and s?", "a": "7" }, { "q": "Let a = 1108 - 1096. What is the greatest common divisor of a and 192?", "a": "12" }, { "q": "Let p = -138 + 273. Suppose -3*l - 6*l = -p. Suppose -3*s + 162 = t, s + 2*s = 3*t - 438. Calculate the highest common divisor of l and t.", "a": "15" }, { "q": "Let c(d) = d**3 + 34 - 7*d**2 - 30 - 16 + 6*d. Let z be c(7). What is the highest common divisor of 75 and z?", "a": "15" }, { "q": "Let x = 4692 + -3097. Calculate the greatest common divisor of 55 and x.", "a": "55" }, { "q": "Let n be 15 + -6*(-7)/(-21) + (4 - -2). What is the highest common factor of 10 and n?", "a": "1" }, { "q": "Suppose -f - 4 = -11. Suppose 3*a = 4*z - 66, 2*a + 88 = 5*z + a. Suppose -5*o + 367 = -z. What is the highest common factor of f and o?", "a": "7" }, { "q": "Let a be -2*2/4 + -455. Let p = 657 + a. Suppose -3*r = -42 - p. Calculate the highest common factor of 9 and r.", "a": "9" }, { "q": "Let z be (-3)/(-2)*4/(-6). Let n be -3*(20/12)/z. Suppose 0*p - 4*p - 5*h + 489 = 0, -323 = -3*p + n*h. Calculate the greatest common divisor of 29 and p.", "a": "29" }, { "q": "Let t = 28 - 25. Suppose -j + t*j = 6. Suppose y = -y + j*n + 10, 5*n = 2*y - 14. Calculate the greatest common divisor of y and 2.", "a": "2" }, { "q": "Let l = -1731 + 1906. What is the highest common divisor of 945 and l?", "a": "35" }, { "q": "Let n(l) = -l**3 - 9*l**2 + 4*l + 3. Let i be n(-10). Suppose -68 = -11*b + 9. What is the highest common divisor of b and i?", "a": "7" }, { "q": "Let d be (-3)/9 - (-33)/45 - (-129468)/30. What is the highest common factor of d and 52?", "a": "52" }, { "q": "Suppose 0 = -9*p + 14*p - 5*n - 1385, -2*p - n + 542 = 0. Suppose 0 = 3*c - c - 5*x - 27, 3*c - 3*x = 54. Calculate the highest common divisor of c and p.", "a": "21" }, { "q": "Let w = 205 + -202. Let q be w - 2 - (-70 - 1). What is the greatest common factor of q and 9?", "a": "9" }, { "q": "Let b be 21/(-14) - 6/(-4). Suppose -5*t + 3*s + 174 = b, t + 2*s - 18 = -3*s. Let c = t + -27. What is the highest common divisor of c and 6?", "a": "6" }, { "q": "Suppose 2*k - k = -q - 12, 3*q + 5*k = -36. Let y = q + 12. Suppose -4*d = -4, y*o - 2*d = o - 37. Calculate the highest common divisor of o and 5.", "a": "5" }, { "q": "Let h be (-9)/(-2)*2/9. Let c be 1 + h - (-22)/11. Suppose 5*q - 3*m - 1238 = 134, -3*q = c*m - 800. Calculate the greatest common divisor of 34 and q.", "a": "34" }, { "q": "Let v(i) = -76*i + 146. Let t(c) = -1. Let b(x) = 3*t(x) - v(x). Let m be b(5). Suppose 5*f - 174 + 9 = 0. Calculate the highest common divisor of f and m.", "a": "33" }, { "q": "Suppose a = -0*x + 4*x - 44, 3*x = 4*a + 20. Let p be (27/x)/((-6)/(-16)). What is the highest common factor of 96 and p?", "a": "6" }, { "q": "Suppose 3*x = 15 + 18. Let r = -16722 - -16887. What is the highest common factor of r and x?", "a": "11" }, { "q": "Let q(i) = 79*i**2 - 1. Let l be q(1). Suppose j = 7*j - l. Suppose -k - 4*p + j = 0, -5*p + 4 = k - 6. What is the highest common factor of k and 175?", "a": "25" }, { "q": "Let s(l) = 8*l - 106. Let b be s(16). Let n = 166 + -111. What is the greatest common factor of b and n?", "a": "11" }, { "q": "Let q = -1118 + 1125. Calculate the greatest common divisor of 16 and q.", "a": "1" }, { "q": "Let y = -165 + 257. Let i = 111 - y. What is the greatest common divisor of 399 and i?", "a": "19" }, { "q": "Suppose 4*s = s + 2*q + 243, 4*q = 0. Let f(j) = -100*j + 927. Let a be f(9). What is the highest common factor of a and s?", "a": "27" }, { "q": "Suppose 31*z = 14*z + 34. Suppose -98 = -2*m + n, z*m - 4*n = -3*m + 242. Calculate the greatest common factor of 20 and m.", "a": "10" }, { "q": "Suppose 2*v + 53 + 3 = 0. Let z = v + 168. Let n(r) = r + 37. Let o be n(19). Calculate the highest common factor of z and o.", "a": "28" }, { "q": "Let i = 727 + -723. Let x(g) = 55*g**3 + g**2 + 2*g - 2. Let y be x(1). What is the highest common divisor of y and i?", "a": "4" }, { "q": "Let a(j) = j**3 - 29*j**2 + 31*j + 48. Let u be a(28). Let o = 150 - u. Calculate the greatest common divisor of 45 and o.", "a": "9" }, { "q": "Suppose 70 = -4*i - x + 302, -i = -4*x - 41. What is the highest common factor of 4161 and i?", "a": "57" }, { "q": "Let z be (-6)/21 + 21264/(-56). Let l = z + 716. Calculate the highest common factor of 21 and l.", "a": "21" }, { "q": "Suppose 4*h - 5*g = 90 + 127, 5*h - 3*g = 255. Suppose -h*q = -58*q + 1680. Calculate the highest common divisor of 24 and q.", "a": "24" }, { "q": "Let s be (-2 - 27/(-15))/((-9)/1485). What is the highest common factor of 87 and s?", "a": "3" }, { "q": "Let y(j) = j**2 - 8*j + 47. Let l be y(-7). Suppose -346 + 80 = -14*p. Calculate the highest common factor of l and p.", "a": "19" }, { "q": "Suppose 16*s = 17*s - 3*z + 265, -4*s = z + 995. Let w = 286 + s. Let n = -2 - -11. What is the greatest common divisor of w and n?", "a": "9" }, { "q": "Let m = 743 + -138. Suppose 4*q - 9*q = -w + 185, 0 = 3*w - 5*q - m. What is the highest common divisor of 7 and w?", "a": "7" }, { "q": "Let n(c) = -c**3 - 20*c**2 - 32*c - 156. Let o be n(-19). What is the highest common divisor of 364 and o?", "a": "91" }, { "q": "Let h be (29 - 34)/(-3 + 2). Calculate the greatest common factor of 1455 and h.", "a": "5" }, { "q": "Let n = 43 - 42. Let k(p) = 8*p + n - 12*p - 3. Let r be k(-7). Calculate the greatest common factor of 208 and r.", "a": "26" }, { "q": "Let o(a) = -a**2 - 18*a + 12. Let b be o(-14). Calculate the highest common divisor of 64 and b.", "a": "4" }, { "q": "Let o be 8/22 - 135225/(-2475). What is the highest common divisor of o and 3685?", "a": "55" }, { "q": "Suppose -i + 6 - 2 = 0. Let v(k) = i + 10 - 3 + k + k. Let a be v(8). What is the greatest common factor of 9 and a?", "a": "9" }, { "q": "Let i = -114 - -250. Suppose -19 = -p + z, 30*p - 4*z = 35*p - 77. What is the greatest common factor of p and i?", "a": "17" }, { "q": "Let q(v) = -v**3 - 7*v**2 + 19*v + 2. Let x be q(-6). Let y = x + 150. Calculate the highest common factor of 5 and y.", "a": "1" }, { "q": "Let j be ((-36)/81 - 152/36)/((-2)/321). What is the greatest common divisor of 35 and j?", "a": "7" }, { "q": "Let k be (-6555)/(-299) + (-4)/(-52). Calculate the highest common divisor of 2 and k.", "a": "2" }, { "q": "Let w be (9 + -8)*((-416)/2)/(-8). Suppose 5*q - 2*q - 78 = 0. What is the highest common divisor of w and q?", "a": "26" }, { "q": "Suppose 2*n - 2*n + 432 = 2*n. Calculate the highest common divisor of 32 and n.", "a": "8" }, { "q": "Suppose 40*f = 38*f - 1258. Let m = -399 - f. What is the highest common divisor of 10 and m?", "a": "10" }, { "q": "Suppose 2*v + 4 - 40 = 0. Suppose v*f - 16*f = 12. Let d(j) = -j**3 - j**2 - 6*j - 6. Let c be d(-4). What is the greatest common divisor of f and c?", "a": "6" }, { "q": "Let w = 14 - 9. Let l(i) = -2*i**2 + 10*i + 6. Let t be l(w). Let s be (63/(-6))/(t/(-4)). Calculate the highest common divisor of s and 49.", "a": "7" }, { "q": "Let c be (88/(-6))/(2/(-3)). Let l = -3501 - -3985. Calculate the highest common divisor of c and l.", "a": "22" }, { "q": "Suppose u - 15 = -4. Let l be (9/15)/(-3 + 80/25). Suppose 3*g = -l*y + 270, -2*y - 2*g - 2*g = -184. What is the greatest common divisor of y and u?", "a": "11" }, { "q": "Let f = 3507 - 2562. What is the highest common factor of 54 and f?", "a": "27" }, { "q": "Suppose -5*w = -61*w + 2096 + 704. Calculate the highest common divisor of 3375 and w.", "a": "25" }, { "q": "Let g be (5 - -5)/5 - -1. Let p be (-25)/(((-20)/8 + g)*-2). What is the greatest common factor of p and 175?", "a": "25" }, { "q": "Let p = 47 + -43. Suppose p*x = x. Suppose x = 2*q - 4*b - 40 - 20, 0 = 5*q + 3*b - 111. Calculate the highest common factor of 36 and q.", "a": "12" }, { "q": "Let b = -4058 + 7209. Calculate the highest common factor of 23 and b.", "a": "23" }, { "q": "Suppose -l + 1 - 5 = 0. Let u be l/(-6)*(-84)/(-2). Let n = 4339 - 4311. Calculate the highest common factor of u and n.", "a": "28" }, { "q": "Let a = -168 + 301. Suppose -h + 57 = -3*w, 5*h - 185 = 4*w + a. Calculate the highest common factor of 6 and h.", "a": "6" }, { "q": "Let t(c) = -8*c + 1336. Let x be t(16). Calculate the highest common divisor of x and 16.", "a": "8" }, { "q": "Let i = -46 - -48. Suppose t - 15 = -2*t, -50 = -2*u - i*t. Suppose 0 = -7*a + 6*a - 2*k + 14, 0 = a - 4*k - u. What is the greatest common divisor of 16 and a?", "a": "16" }, { "q": "Let g(f) = 27*f + 7. Let s be g(7). Suppose -136*n + 218*n = 2296. Calculate the greatest common factor of n and s.", "a": "28" }, { "q": "Suppose -4*q = i - 1, 3*i = -0*q - 4*q + 19. Let d(g) = g**3 - 9*g**2 + 4. Let x be d(i). Let k = 8 - x. What is the highest common divisor of 44 and k?", "a": "4" }, { "q": "Let h = 16 - 18. Let n be h/(-7) + 29377/203. Calculate the greatest common divisor of n and 29.", "a": "29" }, { "q": "Let j be -3 + 15/3 + 3. Let b be -6*(3 - j)/4. Suppose 3*l + 5*y - 27 - 4 = 0, -b*y + 11 = -2*l. Calculate the highest common factor of l and 22.", "a": "2" }, { "q": "Let d(u) = u**2 + 21*u + 42. Let v(o) = o**2 - 10*o + 5. Let l be v(4). Let z be d(l). Calculate the highest common factor of z and 44.", "a": "4" }, { "q": "Let f(m) = -m**3. Let h(n) = 5*n**3 - 8*n**2 - 13*n - 8. Let i(q) = 6*f(q) + h(q). Let g be i(-8). Calculate the highest common factor of g and 24.", "a": "24" }, { "q": "Let d(v) = -v**3 + 5*v**2 - 3*v + 10. Let x = 234 - 230. Let g be d(x). What is the highest common divisor of 154 and g?", "a": "14" }, { "q": "Suppose 3*b + 16 - 46 = -3*a, -43 = -4*b - 5*a. Suppose 46 = k - 3*g, -5*k + b*g - 9*g + 298 = 0. Calculate the greatest common factor of 87 and k.", "a": "29" }, { "q": "Suppose 12 = -z - 3*f - 3, 5*z = f + 5. Suppose z*d - 1310 = 5*d. Let x = 478 + d. Calculate the highest common factor of x and 24.", "a": "24" }, { "q": "Let p(r) = 43*r**2 - 5*r - 26. Let z be p(4). What is the greatest common factor of z and 30?", "a": "6" }, { "q": "Let i be ((-2)/(-2))/(96/20 + -5). Let l be -4*5/i + 3. Suppose -3*z + 5 = -r - 55, -z - 3*r = -30. What is the highest common factor of z and l?", "a": "7" }, { "q": "Let b(y) = 255*y + 2304. Let k be b(-9). What is the greatest common factor of 297 and k?", "a": "9" }, { "q": "Let j(n) = 4*n**2 - 36*n - 172. Let a be j(-19). Calculate the greatest common divisor of 24 and a.", "a": "12" }, { "q": "Suppose 3*j - 99 = 109 + 80. What is the highest common factor of j and 420?", "a": "12" }, { "q": "Let o(s) = -3*s**3 + 29*s**2 - 34*s + 48. Let v be o(8). Calculate the highest common factor of 608 and v.", "a": "32" }, { "q": "Let f(s) = 4*s**3 + s + 12. Let i be f(6). Suppose 14*d - i = 12*d. Calculate the highest common factor of 63 and d.", "a": "63" }, { "q": "Let b be (-3 + (-9)/(-2))*(-16)/(-6). Suppose -b*h - 324 = -0*h. Let m = 115 + h. What is the greatest common factor of m and 306?", "a": "34" }, { "q": "Let d = -3067 + 3148. What is the greatest common factor of 891 and d?", "a": "81" }, { "q": "Suppose 270*a - 126*a = 123*a + 252. What is the highest common factor of 1992 and a?", "a": "12" }, { "q": "Suppose 0 = 4*z + 5*t - 2176, 3*z - 1275 - 357 = 3*t. Let r be ((5 - 7)/(-4))/(2/z). Calculate the greatest common divisor of 8 and r.", "a": "8" }, { "q": "Suppose 0*m = -m + 33. Suppose 61*u + 528 = 63*u. What is the greatest common factor of u and m?", "a": "33" }, { "q": "Let l be 5/(8/12*6/4). Suppose -l*i - 5*s = -125, -5*i + 5*s + 145 = -i. Calculate the greatest common divisor of i and 330.", "a": "30" }, { "q": "Suppose -46*k = -45*k + 1, 3*h + k - 3023 = 0. What is the greatest common divisor of h and 882?", "a": "126" }, { "q": "Let q = 16 + -65. Suppose -5*k = -4*u - 277, -u - 2*u + 4*k - 207 = 0. Let z = q - u. Calculate the greatest common factor of 6 and z.", "a": "6" }, { "q": "Let i = -266 + 146. Let c be (72/32)/((-9)/i). Calculate the highest common divisor of 105 and c.", "a": "15" }, { "q": "Let l(a) = -60*a - 1244. Let v be l(-27). Calculate the greatest common factor of v and 282.", "a": "94" }, { "q": "Suppose 3*o - 4*o = 0. Suppose 5*l + 6 - 16 = o. Let j be 16/(-440) - 3978/(-495). What is the greatest common factor of l and j?", "a": "2" }, { "q": "Let o = 1 - -2. Suppose 2*s + 2 = 8. Suppose 0 = -2*k + 4*t + 66, -t + s*t = -3*k + 99. Calculate the highest common divisor of o and k.", "a": "3" }, { "q": "Suppose -3*z + 537 = 45. Suppose -5*m - 34 + z = 0. Let x(f) = 2*f**3 - 23*f**2 - 68*f + 11. Let n be x(14). What is the greatest common factor of m and n?", "a": "13" }, { "q": "Let c(q) = q**3 - 2*q**2 - 2*q - 7. Suppose -6 = -3*u + u. Let t be c(u). Let g be 10/t*216/(-30). Calculate the highest common factor of g and 18.", "a": "18" }, { "q": "Suppose 0 = 5*s + 5*i - 105, 2*s = 4*s - i - 27. Let a be (-1)/4 - 7623/(-28). Calculate the highest common divisor of s and a.", "a": "16" }, { "q": "Let z(a) = 4*a - 10*a - 2*a**2 - 2 + 0 - 17*a. Let k be z(-11). Calculate the greatest common factor of k and 36.", "a": "9" }, { "q": "Let u be -5*((-1 - -2) + 1208/(-40)). What is the greatest common factor of u and 2?", "a": "2" }, { "q": "Suppose 120 = -0*d + 4*d. Suppose 4*u = 2*g - 76, -5 = u - 10. What is the highest common divisor of g and d?", "a": "6" }, { "q": "Suppose 0 = 46*t - 40*t - 2290 - 7604. What is the highest common divisor of 97 and t?", "a": "97" }, { "q": "Let p = 66 + -158. Let l = p - -130. Calculate the greatest common divisor of l and 114.", "a": "38" }, { "q": "Suppose 449 = -119*b + 7589. Calculate the greatest common factor of b and 2460.", "a": "60" }, { "q": "Let t(h) = -h**3 + 4*h**2 + 13*h - 8. Let g be t(6). Let u(z) = -36*z + 16. Let s be u(g). Calculate the highest common factor of 24 and s.", "a": "8" }, { "q": "Suppose 102*p + 26 = 104*p. Let n(g) = 8*g - 47. Let j be n(p). Calculate the highest common factor of 19 and j.", "a": "19" }, { "q": "Suppose -5*d + 323 = 2*r - 72, -410 = -2*r - 2*d. Calculate the highest common factor of r and 110.", "a": "10" }, { "q": "Let p be 12/3 - (7 - 12). Suppose -21*u + p = -54. What is the greatest common factor of 69 and u?", "a": "3" }, { "q": "Let t(h) = 9*h + 410. Let d be t(60). What is the highest common divisor of d and 200?", "a": "50" }, { "q": "Let n(u) = -4*u - 7. Let y(f) = -f - 1. Let g(b) = -n(b) + 6*y(b). Let c be g(-1). Let v = 17 - c. What is the highest common divisor of v and 154?", "a": "14" }, { "q": "Suppose 19 - 1 = 6*h. Suppose -3*y - h*i = -24, 3*i + 4 = 2*y + 2*y. Suppose -y = -3*w + w. What is the highest common factor of w and 14?", "a": "2" }, { "q": "Let q be 3/(-3*(-3)/696). Suppose q - 27 = -5*d. Let i = d - -77. What is the highest common factor of 12 and i?", "a": "12" }, { "q": "Let y(w) = 2*w**3 - 18*w**2 - 4*w - 108. Let r be y(10). What is the highest common divisor of 8 and r?", "a": "4" }, { "q": "Let l(c) = -c**2 - 10*c - 4. Let q be 986/(-119) - 3/((-21)/2). Let x be l(q). Calculate the greatest common factor of x and 6.", "a": "6" }, { "q": "Suppose -92 = 3*t - 2*k, 2*k - 12 = t + 6*k. Let a = 39 + t. Let m = 315 - 216. What is the greatest common factor of a and m?", "a": "11" }, { "q": "Let k be 6/60*6*-5 + 1522. What is the greatest common factor of 155 and k?", "a": "31" }, { "q": "Let p be 6/78 + (-2812)/52. Let b be (-9)/p + 2/(-12)*-125. What is the highest common factor of 35 and b?", "a": "7" }, { "q": "Suppose 6*m - 28 + 4 = 0. Suppose -119 = p - 2*q, p + q = 5*q - 119. Let f be (m - 2) + 0 - (4 + p). What is the greatest common divisor of 13 and f?", "a": "13" }, { "q": "Suppose 3*q + 5*p = -733, 12 = -0*p + 3*p. Let f(r) = 4*r**2 - 38*r - 11. Let d be f(-6). Let u = d + q. Calculate the highest common factor of u and 10.", "a": "10" }, { "q": "Let v = -2257 - -2750. Calculate the greatest common factor of v and 289.", "a": "17" }, { "q": "Let h(s) = -5*s + 9. Let y be h(-5). Suppose 5 = c + 3. Let g be 1/(c/6) - (-129 + 30). What is the greatest common divisor of y and g?", "a": "34" }, { "q": "Let j(u) = 9*u**3 - 2*u**2 - u + 2. Let t be j(1). Let z = t + -5. Suppose -r = 5*s + 3, -z = -2*r - 4*s + 3. Calculate the greatest common factor of 7 and r.", "a": "7" }, { "q": "Suppose -4*v + 56 = -64. Let a(c) = -19*c + 645. Let d be a(30). What is the greatest common divisor of v and d?", "a": "15" }, { "q": "Let b(v) = -v**2 - 2*v + 801. Let h be b(27). What is the highest common divisor of 996 and h?", "a": "6" }, { "q": "Suppose 39*l - 101*l + 13460 = -48044. Calculate the highest common divisor of l and 64.", "a": "32" }, { "q": "Let a be ((-8)/7)/((-14)/49). What is the highest common divisor of 1536 and a?", "a": "4" }, { "q": "Let o be ((-9)/1 + (5 - 6))*-2. Suppose 0 = -0*m + m - o. Suppose -m = 4*x - 92. Calculate the highest common factor of x and 198.", "a": "18" }, { "q": "Let a = -17 - -23. Suppose 667*d = 655*d + 1008. What is the greatest common divisor of a and d?", "a": "6" }, { "q": "Suppose 5*c - 9 = 1. Suppose 0 = -3*n + c*n + 54. Suppose 5*b = -4*x + n, -x + 21 - 4 = 3*b. Calculate the highest common divisor of 22 and x.", "a": "11" }, { "q": "Let w(x) = -12*x - 33. Let d be w(-22). Suppose -4*a = -5*a + d. Calculate the highest common factor of 21 and a.", "a": "21" }, { "q": "Let d be 0 + 1 + 11 + 4003 + -4. Calculate the highest common divisor of d and 21.", "a": "21" }, { "q": "Suppose -4*i + 3*r + 23 = 0, -5*r - 17 = 7*i - 3*i. Let y be 4 + (-63)/18 - ((-33)/2 - -1). What is the greatest common divisor of y and i?", "a": "2" }, { "q": "Let b = 20 + -11. Suppose 344 = 4*x + 5*t, -x + 6*x - 401 = t. What is the greatest common divisor of x and b?", "a": "9" }, { "q": "Suppose 3*n - 9*n = -564. Suppose 87*y + 140 = n*y. Suppose 15 = 5*r - 2*i, -r + 6*r + 4*i = 45. What is the highest common factor of r and y?", "a": "5" }, { "q": "Suppose n - 19 = -3*a, -a + 3*a - 10 = 0. Suppose 2*g + 0*r - n = 4*r, 4*r + 34 = 5*g. Calculate the greatest common factor of 110 and g.", "a": "10" }, { "q": "Let x = 40 - 24. Let m(l) = l**2 + 18*l + 10. Let p be m(-18). Suppose -5*r - 2*f = -152, 4*r + 5*f - p*f = 148. Calculate the highest common factor of r and x.", "a": "16" }, { "q": "Suppose 3*i + 31*i - 657 - 567 = 0. Calculate the greatest common divisor of i and 1017.", "a": "9" }, { "q": "Let x be ((-3)/(-2))/(15/70). Suppose -2*s - 106 = -120. What is the highest common divisor of x and s?", "a": "7" }, { "q": "Suppose 0 = 10*z + 4*z - 2772. Let h be 45/2*(-116)/(-6). Let j be 3/5 + h/25. Calculate the greatest common factor of j and z.", "a": "18" }, { "q": "Let j(y) be the second derivative of 7*y**3/6 - 23*y**2 + y - 9. Let z be j(7). What is the greatest common divisor of z and 27?", "a": "3" }, { "q": "Suppose 185 = 5*f - 40. Suppose 0 = -49*o + 681 + 789. Calculate the highest common factor of f and o.", "a": "15" }, { "q": "Let w = -69578 - -69603. Let h = 516 + -91. What is the greatest common factor of w and h?", "a": "25" }, { "q": "Let q = -142 - -166. Suppose 12*i - 44 = -3*a + 17*i, -q = -a + 4*i. What is the highest common divisor of a and 20?", "a": "4" }, { "q": "Let c = -2939 + 3167. Let y be 18/(-1)*(-2)/3. What is the greatest common divisor of y and c?", "a": "12" }, { "q": "Suppose -44*x = -46*x - 32. Let z be (x/(-1) - (-6)/(-3)) + 1. Calculate the highest common factor of 405 and z.", "a": "15" }, { "q": "Let o = -26 + 166. Suppose 14*x - 856 - 614 = 0. Calculate the highest common factor of x and o.", "a": "35" }, { "q": "Let d be (-93)/558 + 49/6. Let z(q) = -2*q**3 + 4. Let y be z(-5). Suppose d*f = 1398 - y. Calculate the highest common divisor of f and 13.", "a": "13" }, { "q": "Let k = 134 + 202. Calculate the highest common factor of k and 216.", "a": "24" }, { "q": "Suppose -10*j + 202 + 9788 = 0. Let x = j + -583. What is the greatest common factor of 52 and x?", "a": "52" }, { "q": "Let w(k) = -k - 4. Let q be w(-6). Let u be 141/15 + (-2)/(-20)*-4. Suppose -7 = 3*j - 5*p, u = 5*j + 2*p - 0. Calculate the highest common divisor of j and q.", "a": "1" }, { "q": "Let o = -5 - -8. Let b = 266 + -213. Suppose o*p - 5*m - 101 = b, -2*m - 4 = 0. What is the highest common divisor of p and 12?", "a": "12" }, { "q": "Suppose -5*j = -3*u - 2390, 2*u - 972 = 75*j - 77*j. What is the greatest common factor of j and 37?", "a": "37" }, { "q": "Let z be (-2)/(4/(-82)) + 1. Let s = -107 - -120. Suppose -47 = -s*u + 31. What is the greatest common divisor of z and u?", "a": "6" }, { "q": "Let m = 75 + -21. Let r = -19981 - -20071. What is the greatest common divisor of r and m?", "a": "18" }, { "q": "Let q(n) = -n**3 - n**2 - n. Let k be q(-6). Let u be (11 + -1 - -1)*-1. Let c = u + k. What is the greatest common factor of c and 25?", "a": "25" }, { "q": "Let q(k) = k**3 - 10*k**2 + 15*k - 38. Let o be q(9). Suppose m = 4*m + 3*h, -3*m + 5*h = -o. Calculate the highest common factor of 2 and m.", "a": "2" }, { "q": "Let k = -18562 + 18563. Let q be 2/3 + (-22)/(-3). Calculate the highest common divisor of k and q.", "a": "1" }, { "q": "Suppose 2*l + 3*j = 6*l - 1425, -4*j = -l + 340. What is the highest common factor of 84 and l?", "a": "12" }, { "q": "Let z = -5 - -45. Let h be 2/(1/84*7). Suppose 0 = -72*x + 75*x - h. What is the greatest common factor of z and x?", "a": "8" }, { "q": "Let j be 10/16*2*4. Suppose -x = -q + 4, -4*q - j*x = -x - 24. Suppose -37 = -4*y - q*b, 3*y = y - 3*b + 19. What is the highest common factor of 80 and y?", "a": "8" }, { "q": "Let d(q) = q**2 + 204*q - 1251. Let t be d(6). Calculate the greatest common factor of t and 48.", "a": "3" }, { "q": "Suppose -2*o = -8 - 18. Let q be (-4 - -4) + 27/(-3) + (3 - -97). Calculate the highest common factor of o and q.", "a": "13" }, { "q": "Let z = -4605 - -4623. What is the greatest common factor of z and 2430?", "a": "18" }, { "q": "Let s be ((-24)/(-324))/((-7)/(-132699)) + (-2)/9. What is the highest common divisor of s and 9?", "a": "9" }, { "q": "Let h = 394 - 186. Let z = h + -188. What is the greatest common factor of 90 and z?", "a": "10" }, { "q": "Let d = -2114 + 2532. Calculate the greatest common factor of 494 and d.", "a": "38" }, { "q": "Suppose 0 = -5*v - 2*v + 77. Let y(d) = 7*d - 40. Let k be y(v). What is the highest common factor of 37 and k?", "a": "37" }, { "q": "Suppose 140 + 110 = 24*a - 19*a. Calculate the greatest common divisor of a and 1300.", "a": "50" }, { "q": "Let m(u) = 10*u**2 - 7*u + 6. Let h be m(4). Let z = h + -93. What is the highest common divisor of 6 and z?", "a": "3" }, { "q": "Suppose 0*h - 5*h = 3*r - 962, r + 3*h - 322 = 0. Suppose r = 5*i + 3*x - 61, -4*i + 304 = x. What is the highest common divisor of 266 and i?", "a": "38" }, { "q": "Let d(v) = v**3 + 16*v**2 - 37*v + 16. Let q be d(-11). Suppose 6*h - 2*h - q = -5*j, -j - 500 = -2*h. Calculate the greatest common factor of h and 28.", "a": "28" }, { "q": "Let a = 120 + -116. Let d be 42 - (8 - (6 - a)). Calculate the highest common divisor of d and 96.", "a": "12" }, { "q": "Let y be (60/24)/(10/8). Let n be (18/15)/(-1*y/(-10)). What is the greatest common divisor of 10 and n?", "a": "2" }, { "q": "Let t be (37 + -15)*10/4. Let g = -168 - -173. Calculate the greatest common factor of t and g.", "a": "5" }, { "q": "Let v(g) = 5*g**2 - 77*g + 960. Let t be v(19). Calculate the highest common divisor of 42 and t.", "a": "42" }, { "q": "Let j = 3070 + -2853. Calculate the greatest common divisor of 62 and j.", "a": "31" }, { "q": "Let l(q) = -42*q**3 + 2*q + 3. Let w be l(-1). Suppose -30 = s - w. Calculate the greatest common divisor of 117 and s.", "a": "13" }, { "q": "Suppose 0 = 12*a - 20*a + 24. Suppose -b + 135 = 4*s, a*s - 488 = -2*b - 2*b. Calculate the greatest common divisor of b and 34.", "a": "17" }, { "q": "Let y = 269 + -228. Let j be y - 8/(48/18). Calculate the greatest common factor of j and 19.", "a": "19" }, { "q": "Suppose 0 = 9*o + 208 + 512. Let x = o + 89. What is the greatest common divisor of x and 9?", "a": "9" }, { "q": "Suppose 28 = -12*s + 112. Let q(r) = r**2 - 3*r - 14. Let a be q(s). What is the highest common divisor of 21 and a?", "a": "7" }, { "q": "Let v(x) = -1 - 3 + 9 + 2*x. Let p be v(3). Suppose f = 2*a + 14, -12 + 58 = 3*f - 5*a. Calculate the highest common divisor of f and p.", "a": "11" }, { "q": "Let t = -295 - -343. Let h = 37 + 3. Calculate the greatest common factor of t and h.", "a": "8" }, { "q": "Let y = -5221 + 12151. What is the greatest common divisor of y and 45?", "a": "45" }, { "q": "Let h(w) = w**2 - w - 4. Let n be h(4). Let m = -3 + n. Suppose -m*q = 2*p - 108 - 84, -p = 4*q - 156. What is the highest common factor of q and 100?", "a": "20" }, { "q": "Let y(f) = 7*f - 18. Suppose 36 = 5*r - r + 2*q, 0 = -5*r + 2*q + 45. Let i be y(r). Calculate the highest common factor of 5 and i.", "a": "5" }, { "q": "Suppose 25 = 5*w - 65. Let b be 20/(-90) + 130/w. Let j(o) = 10*o - 24. Let c be j(b). What is the highest common factor of 69 and c?", "a": "23" }, { "q": "Suppose 44 + 4 = 8*l. Calculate the highest common divisor of l and 49.", "a": "1" }, { "q": "Suppose -v + 7016 = 2*j + 2484, 4*v - 18113 = -3*j. What is the greatest common factor of v and 146?", "a": "146" }, { "q": "Let c be 4 - 1 - ((-5205)/45)/(1/3). What is the highest common factor of c and 805?", "a": "35" }, { "q": "Suppose -3*o - 7339 = -7*d + 3*d, -4*d - 3*o = -7333. Calculate the highest common factor of 14 and d.", "a": "14" }, { "q": "Suppose 5*m = 4*t + 8, 3*t - 4*m + 8 = 3. Let y = 4 - t. Let q(l) = -l**3 + 19*l**2 + 24*l - 69. Let h be q(20). What is the greatest common factor of h and y?", "a": "11" }, { "q": "Suppose -3*b + 5 = 2*r, 3*b - 5*r + 8 = -15. Let k be (-1)/b + (3 - (-31 + 7)). Calculate the greatest common factor of 28 and k.", "a": "28" }, { "q": "Suppose -8*d + 84 = -2*d. Suppose 85 - 25 = 6*s. Let z be s/20 + 27/2. Calculate the greatest common divisor of d and z.", "a": "14" }, { "q": "Let f(y) = 217*y**3 + y**2 - 2*y. Let s be f(1). What is the greatest common divisor of 56 and s?", "a": "8" }, { "q": "Suppose r - 1 = 2. Let m(o) = -8*o**2 + 2*o**3 - o**r + 0*o**2 - 9*o + 0*o**3 + 8. Let b be m(9). What is the greatest common factor of 8 and b?", "a": "8" }, { "q": "Suppose -532 = -2*x - 312. What is the highest common factor of 1760 and x?", "a": "110" }, { "q": "Let o = -4573 + 4606. What is the greatest common divisor of o and 1023?", "a": "33" }, { "q": "Let w = 3087 - 2921. Calculate the greatest common divisor of 1079 and w.", "a": "83" }, { "q": "Suppose 2*q - q - 2 = 0. Suppose 0 = -q*i - 3*g + 48, -2*i + 24 = -5*g + 2*g. Suppose -18 = -21*m + i*m. What is the highest common divisor of m and 42?", "a": "6" }, { "q": "Let c be -10*6/24 + (-611)/(-2). What is the highest common factor of 808 and c?", "a": "101" }, { "q": "Let w(b) = -2*b + 6. Let i(s) = s**2 + 10*s + 17. Let n be i(-6). Let t be w(n). Suppose -l - t = -6*l. What is the highest common divisor of 16 and l?", "a": "4" }, { "q": "Let z = -1304 - -1344. What is the highest common factor of 232 and z?", "a": "8" }, { "q": "Let t = -9 - -21. Suppose -111 = 5*j - 2*q + 69, 2*j - 3*q + 83 = 0. Let y = j - -46. Calculate the highest common divisor of y and t.", "a": "12" }, { "q": "Let m be (-99261)/(-82) - 3/(-2). Calculate the greatest common divisor of m and 24.", "a": "12" }, { "q": "Let q be (2/(-6))/(2*(-5)/1590). Suppose -5*v + 863 - q = 0. Calculate the highest common factor of 108 and v.", "a": "54" }, { "q": "Suppose -231*f + 221*f + 156 = -504. What is the highest common divisor of f and 1188?", "a": "66" }, { "q": "Let n be 3/2 - (-5160)/16. Suppose 135 = 3*k + 3*v - 99, 2*v + n = 4*k. Calculate the highest common divisor of 5 and k.", "a": "5" }, { "q": "Suppose -3*h + 0*h + 6 = 0. Suppose 4*o = -2*o + 1230. Let k = o + -197. What is the highest common factor of h and k?", "a": "2" }, { "q": "Let q(o) = o**3 - 2*o**2 - o - 24. Let k be q(4). Calculate the greatest common divisor of 2972 and k.", "a": "4" }, { "q": "Let b be (-36)/(-48)*-4 - -81. What is the highest common divisor of 12 and b?", "a": "6" }, { "q": "Suppose -5*i + 2*c = -1089, -12*i + 3*c = -16*i + 885. Suppose -i - 36 = -5*h. What is the highest common factor of 153 and h?", "a": "51" }, { "q": "Let w = -553 - -1772. What is the highest common factor of 23 and w?", "a": "23" }, { "q": "Suppose 0 = -2*x + r + 14918, -3*x + 4*x - 7462 = 2*r. Calculate the greatest common factor of 66 and x.", "a": "66" }, { "q": "Let l(u) = 407*u - 1228. Let g be l(14). What is the highest common divisor of g and 15?", "a": "15" }, { "q": "Let b(c) = -c**3 + 32*c**2 + 143*c + 73. Let f be b(36). What is the highest common factor of f and 2627?", "a": "37" }, { "q": "Let q = 4956 - 4636. Calculate the greatest common factor of q and 1840.", "a": "80" }, { "q": "Let h(b) = b**2 + 3. Suppose 1 = -4*j - z, 5*j - 5*z - 2 = 3. Let d be h(j). Suppose -d*x = -2*x - 21. Calculate the greatest common divisor of x and 84.", "a": "21" }, { "q": "Suppose -4*q - 758 = -2*i, 2*q + 1121 = -335*i + 338*i. Calculate the greatest common divisor of i and 28.", "a": "7" }, { "q": "Let y = -67 + 91. Let c be -5*24/(-40)*1. What is the greatest common factor of y and c?", "a": "3" }, { "q": "Let w = -18298 - -18352. Let o = 4 + -6. Let f be -81*1/(o + 1). Calculate the greatest common divisor of f and w.", "a": "27" }, { "q": "Suppose j - 6 = -0*j + k, -j - 3*k = -14. Suppose -2 = -4*g + 3*g. Suppose -q - g = -3*q, 0 = 3*r - 5*q - 55. Calculate the greatest common factor of r and j.", "a": "4" }, { "q": "Suppose n = 4*n - 432. Suppose -12 = 2*g + 18. Let b be (-4 + 3)*(-1 - g/(-1)). What is the greatest common divisor of b and n?", "a": "16" }, { "q": "Suppose -161*y + 154*y = 112. Let u(v) = v**2 + 3*v - 8. Let i be u(-8). Let b = i + y. What is the highest common divisor of 8 and b?", "a": "8" }, { "q": "Let l = 695 + -533. Let m = -22 - -58. Calculate the greatest common factor of l and m.", "a": "18" }, { "q": "Suppose 7*q - 4*q = 12. Suppose -q*j = -j - 3*z + 3, 3*j - z = -3. Let v(d) = -113*d - 5. Let w be v(j). Calculate the greatest common divisor of w and 12.", "a": "12" }, { "q": "Let s(p) = -p**3 + 2*p**2 + 2*p - 25. Let r be s(-3). Let u be (-16)/(-3) - 4/(-6). Calculate the greatest common divisor of r and u.", "a": "2" }, { "q": "Let j(l) be the second derivative of -8*l**3/3 - 25*l**2/2 + 16*l + 2. Let u be j(-4). Calculate the highest common divisor of u and 65.", "a": "13" }, { "q": "Suppose 0 = -4*v + 11 + 21. Suppose 3*d - 48 = -3*n, 15*d - 19*d + 66 = 5*n. What is the highest common factor of d and v?", "a": "2" }, { "q": "Let v be (-2)/4*9*352/(-144). Calculate the greatest common divisor of v and 1991.", "a": "11" }, { "q": "Suppose 3*s - 23 = 104*t - 106*t, s = 2*t + 5. Suppose -8 = -3*h + 4. Let f = h + 3. Calculate the highest common factor of s and f.", "a": "7" }, { "q": "Let t be 4*(13/4 + -4). Let l be 1 + t + 5 + -1. Suppose 4*y = l*c + 28, -y + 5*y + c - 40 = 0. What is the greatest common factor of y and 81?", "a": "9" }, { "q": "Suppose -22 = -0*p - p. Let d = 15 - 10. Suppose 9*z - m - 131 = d*z, 4*z + 2*m - 134 = 0. Calculate the greatest common factor of z and p.", "a": "11" }, { "q": "Let j = 35 + -7. Suppose 0 = -3*l - 68 - j. Let d be 3/(((-42)/l)/7). What is the highest common factor of d and 40?", "a": "8" }, { "q": "Let i = -2686 - -2702. Suppose n = -3*n + 704. Calculate the highest common divisor of i and n.", "a": "16" }, { "q": "Let q(j) = -j**2 + 12*j + 28. Let w be q(12). Let p = w - 57. Let z = -27 - p. Calculate the highest common factor of 22 and z.", "a": "2" }, { "q": "Suppose 0 = -3*w, f + 33*w - 34*w - 168 = -2*f. Calculate the greatest common divisor of 840 and f.", "a": "56" }, { "q": "Let s be 279 - (5 + -2) - (-6 - -6). Suppose -4*u = -s + 88. Calculate the highest common divisor of u and 517.", "a": "47" }, { "q": "Suppose -13*w = 15 - 41. Let t(x) = -x. Let n be t(0). Suppose -5*a = -q + 3, -5*q = -n*a - 2*a - 15. Calculate the greatest common divisor of w and q.", "a": "1" }, { "q": "Let r = -33 + 54. Suppose 158 - 258 = 4*t. Let j = t - -193. What is the highest common factor of j and r?", "a": "21" }, { "q": "Suppose 14*g - 4*g = 200. Let r be 124/5 - (g/25 - 1). What is the highest common factor of r and 75?", "a": "25" }, { "q": "Let d(n) = -47*n + 30. Let o be d(5). Let b = 216 + o. Calculate the highest common factor of 44 and b.", "a": "11" }, { "q": "Let m be 2 + (-10)/4*(-4)/(-10). Let k(u) = 18*u**3 - 4*u**2 + 3*u. Let s be k(m). Calculate the highest common factor of 153 and s.", "a": "17" }, { "q": "Let a be -3 + (12 - 1) + -5. Suppose -a*y + 156 = 3*f, 3*f + 25 = y - 27. Calculate the highest common divisor of 39 and y.", "a": "13" }, { "q": "Let l be 4/(-22) + 62/(-22) + 1207. Suppose 371*p - l = 367*p. Calculate the greatest common divisor of 7 and p.", "a": "7" }, { "q": "Suppose -63 - 111 = i. Let r be -2 - i - 6/(-2). Calculate the greatest common factor of r and 35.", "a": "35" }, { "q": "Let i(m) = 948*m - 169. Let v be i(1). What is the highest common factor of v and 205?", "a": "41" }, { "q": "Suppose 3 + 1 = j. Suppose 0 = -6*o + j - 10. Let k be o + 2 + (-5 - -5)/2. What is the greatest common divisor of 9 and k?", "a": "1" }, { "q": "Let n be -21*((-3048)/18 - -6). Calculate the greatest common divisor of n and 35.", "a": "35" }, { "q": "Let x be (-476)/6*5280/(-560). Calculate the highest common divisor of 187 and x.", "a": "187" }, { "q": "Let j = 154 - 151. Suppose -2*c + 140 = -3*d - 8, 412 = 5*c + j*d. What is the highest common divisor of c and 64?", "a": "16" }, { "q": "Let g(b) = 32*b - 1. Let z be g(2). Suppose 35*f - 27 = 44*f. Let v be (1/f)/((-1)/21). What is the highest common factor of z and v?", "a": "7" }, { "q": "Let b be 8 - (-2)/8*0. Suppose -b*s = -6*s + 12. Let g = 101 + s. Calculate the greatest common factor of 19 and g.", "a": "19" }, { "q": "Let l(k) = 4*k**2 + 8*k - 816. Let w be l(-24). What is the highest common divisor of 96 and w?", "a": "48" }, { "q": "Suppose 5*p + 4*g = -273, 2*p = -5*g + g - 114. Let s = p - -72. Suppose 0 = -o + 3*o - 152. Calculate the greatest common factor of s and o.", "a": "19" }, { "q": "Let f = 80 + -53. Let i(z) = -4*z - 47. Let x = -262 + 248. Let q be i(x). Calculate the greatest common divisor of f and q.", "a": "9" }, { "q": "Let b(d) = 16*d**2 + 33*d - 31. Let w be b(1). Suppose -4*r + 0 = -40. Let i be 1/(-2) - r/(-4). Calculate the highest common factor of w and i.", "a": "2" }, { "q": "Suppose 2*u - 347 + 2 = -5*j, 4*j - 253 = 3*u. Let d = j + -36. Let q(a) = 27*a + 9. Let m be q(10). Calculate the greatest common divisor of m and d.", "a": "31" }, { "q": "Let i = 3382 - 917. What is the highest common divisor of i and 170?", "a": "85" }, { "q": "Let y be 13 - ((0 - 6) + -67). Calculate the highest common factor of y and 2.", "a": "2" }, { "q": "Suppose -12 = -180*c + 174*c. Let j be 190 + (1 - -2) + c. What is the greatest common factor of j and 39?", "a": "39" }, { "q": "Suppose 0 = -41*y + 71*y - 42900. Calculate the greatest common factor of 65 and y.", "a": "65" }, { "q": "Let w(o) = o**3 - 23*o**2 + 22*o - 16. Let z be w(22). Let y = z + 21. Suppose -22 - 38 = -y*u. Calculate the greatest common factor of 6 and u.", "a": "6" }, { "q": "Let z(m) = m**2 + 14*m - 47. Let s be z(-17). Suppose 3*g + 0*b - 3 = 3*b, 0 = -s*g + 2*b + 14. What is the greatest common divisor of 54 and g?", "a": "6" }, { "q": "Let s(v) = 28*v + 91. Let r be s(0). Calculate the highest common factor of r and 2639.", "a": "91" }, { "q": "Let t(w) = -188*w + 406. Let u be t(2). Calculate the greatest common factor of u and 855.", "a": "15" }, { "q": "Let t = 10 - 10. Suppose t = 6*y - 5*y - 420. Let a be 3/7 - y/(-49). What is the greatest common factor of 45 and a?", "a": "9" }, { "q": "Let h = 5383 + -5345. Let f = 11 - 2. Let s be 6/f + 110/6. What is the greatest common divisor of h and s?", "a": "19" }, { "q": "Let m = -40 + 36. Let q be -2*(m/22 + 2119/(-143)). Let o be 318/q + (-3)/5. Calculate the greatest common factor of o and 15.", "a": "5" }, { "q": "Let b be 8/(-10)*(-40)/16. Suppose 56 = 2*q - b. Let u = -789 + 818. Calculate the greatest common factor of q and u.", "a": "29" }, { "q": "Let r be (15/(-20))/((-2)/376). Let c = -139 + r. What is the highest common factor of c and 58?", "a": "2" }, { "q": "Let p = -16 - -6. Let b = p - -10. Suppose 3*a = -4*l - b*a + 278, 5*l + a - 342 = 0. What is the greatest common divisor of 17 and l?", "a": "17" }, { "q": "Let o(j) = -34*j**3 + 4*j**2 + 3*j. Let x be o(-3). Suppose x = 5*m + 2*m. Suppose 4*a = -a + m. Calculate the highest common factor of a and 54.", "a": "27" }, { "q": "Let t be 2/((78/(-96))/(-13)). Calculate the greatest common divisor of t and 296.", "a": "8" }, { "q": "Let b be (-2)/12 - (-11 + (-32370)/36). What is the greatest common divisor of b and 56?", "a": "14" }, { "q": "Let c = -89 - -44. Let o(f) = -9*f + 140. Let z be o(20). Let b = z - c. What is the highest common divisor of b and 2?", "a": "1" }, { "q": "Suppose f + 0*v = -v - 23, 5 = 5*v. Let l = 75 - f. Calculate the greatest common divisor of l and 66.", "a": "33" }, { "q": "Let d = -25 - -18. Let r = 95 + d. Suppose -5*y = -9*y + 44. Calculate the highest common factor of r and y.", "a": "11" }, { "q": "Suppose -1350 = -4*r + 2*r - 13*r. Let l be (-3)/(9/(-3)) - -59. Calculate the greatest common factor of r and l.", "a": "30" }, { "q": "Let n = -135 + 168. What is the highest common divisor of n and 825?", "a": "33" }, { "q": "Let o be ((-240)/9)/(-10)*(-6)/(-2). Suppose 6*a = 23 + 1. Calculate the greatest common factor of a and o.", "a": "4" }, { "q": "Suppose 176*m - 27476 = 3500. What is the highest common divisor of 308 and m?", "a": "44" }, { "q": "Let q be 6/(144/70 - 2). Suppose 160 = 4*x + 5*f - 120, 140 = 2*x + 3*f. What is the greatest common divisor of x and q?", "a": "35" }, { "q": "Suppose 0 = -2*k + 316 + 664. Suppose 7*p + 140 = k. Calculate the highest common factor of p and 50.", "a": "50" }, { "q": "Let x(w) = -2*w**2 + 4*w. Let q be x(-4). Let k = -51 - q. Let l be k/(76/(-96) - -1)*-5. Calculate the highest common divisor of l and 9.", "a": "9" }, { "q": "Suppose -264 = -2*o - 4*h, 0 = -5*o - 29*h + 35*h + 660. Calculate the highest common factor of o and 561.", "a": "33" }, { "q": "Let f be 2/7 + (-393)/(-21). Let t = 7973 + -7954. Calculate the highest common factor of t and f.", "a": "19" }, { "q": "Suppose -2 = -m, -3*m + 5*m + 56 = 2*g. What is the greatest common divisor of 2445 and g?", "a": "15" }, { "q": "Let z(w) = 2*w - 1. Let u be z(3). Suppose -2*h - 5*j = 2*h - 25, -3 = -h + 2*j. Let a = h - -15. What is the greatest common factor of a and u?", "a": "5" }, { "q": "Suppose -19*o + 1909 - 7745 + 66218 = 0. Calculate the greatest common divisor of 14 and o.", "a": "14" }, { "q": "Let f(o) = -22*o - 64. Let q be (138/(-42) - 1) + (-2)/(-7). Let n be f(q). Calculate the highest common factor of 72 and n.", "a": "24" }, { "q": "Let n(b) = -22*b**3 + 4*b**2 - 6*b - 10. Let w be n(-2). Let r = w - 82. Calculate the highest common factor of 16 and r.", "a": "16" }, { "q": "Let i be (-100700)/(-1050) + -3 + 260/84. What is the highest common factor of 1032 and i?", "a": "24" }, { "q": "Let m be 2*1*(3 + (-12)/8). Suppose 3*q - 42 = -m*q. Let h be 422/q - (-4)/(-14). Calculate the greatest common divisor of h and 6.", "a": "6" }, { "q": "Let v be -6 + 3/1 - 7. Let c(f) = -f**3 - 9*f**2 + 7*f - 12. Let u be c(v). Let k = u - 16. Calculate the highest common divisor of 1 and k.", "a": "1" }, { "q": "Suppose 4*z + 11*g - 3236 = 6*g, -5*z + 4*g + 4004 = 0. What is the greatest common factor of z and 60?", "a": "12" }, { "q": "Suppose 0 = a + 3*o + 2, 17 + 20 = 4*a - 3*o. Suppose -c = 2*c + h + 1443, -2*h = -2*c - 962. Let q = 488 + c. What is the highest common divisor of a and q?", "a": "7" }, { "q": "Let g = -280 - -330. What is the greatest common divisor of g and 125?", "a": "25" }, { "q": "Suppose 4*w + n = -3*n + 8, 0 = -4*w + 4*n + 24. Suppose -j = w*j - 360. Suppose 6*t - j = -0*t. Calculate the highest common factor of 36 and t.", "a": "12" }, { "q": "Let k(v) = 122*v - 973. Let s be k(8). Calculate the highest common factor of s and 136.", "a": "1" }, { "q": "Suppose 10*s - 137 = -107. Let g(h) = h. Let l be g(2). What is the greatest common divisor of s and l?", "a": "1" }, { "q": "Suppose 23026 + 22390 = -719*y + 727*y. Calculate the highest common factor of y and 7.", "a": "7" }, { "q": "Let z be (-52 - -55) + 0 + (1 - -26). Suppose 4*b - 3*t - 59 = 0, 5*b - 2*t - 42 = z. What is the highest common factor of 2 and b?", "a": "2" }, { "q": "Let p = -3720 - -3739. Calculate the greatest common divisor of 1539 and p.", "a": "19" }, { "q": "Suppose -2*n - 8 = -4*r + 3*r, -2*r + 5*n + 12 = 0. Let v be 68/8 + ((-4)/(-32))/(5/(-20)). What is the greatest common divisor of v and r?", "a": "8" }, { "q": "Let t(a) = 3*a**2 + 24*a - 601. Let u be t(15). What is the highest common factor of 238 and u?", "a": "14" }, { "q": "Let d(b) = -b**3 + 21*b**2 - 17*b + 39. Let h(g) = g**2 + 24*g + 83. Let w be h(-21). Let y be d(w). Calculate the greatest common divisor of y and 9.", "a": "9" }, { "q": "Suppose 3*h + 4*p = 48, 5*h - 63 + 9 = 2*p. Suppose -5*n - 15 = -0*n. Let g = h + n. Calculate the greatest common factor of 6 and g.", "a": "3" }, { "q": "Let r be (-1394)/6 - 6/9. Let m = r - -395. What is the greatest common factor of 18 and m?", "a": "18" }, { "q": "Let b = 324 - 306. Suppose -2*s + 486 = s. What is the greatest common factor of b and s?", "a": "18" }, { "q": "Suppose -2*u - 16 = 4*a + 28, 5*u - a = -88. Let p = u + 93. Let c = p + -36. Calculate the highest common divisor of 13 and c.", "a": "13" }, { "q": "Let m = -269 - -271. Suppose 420 = 4*y - 3*k, -m*y + k - 315 = -5*y. Let i be 0 - (4*-4 - -1). What is the greatest common divisor of i and y?", "a": "15" }, { "q": "Let z = -13 + 29. Let s(q) = 38*q + 2. Let r be (-4)/12*(-1 + -2). Let j be s(r). Calculate the greatest common factor of j and z.", "a": "8" }, { "q": "Suppose 9*a = 22*a + 1014. Let d = a - -83. Let i = -21 - -31. Calculate the greatest common factor of d and i.", "a": "5" }, { "q": "Suppose -3*a + 2*z = -2 - 2, 3*a = -2*z - 4. Let x be 180*(-1 + 12/4). Suppose -9*c + x = -a*c. Calculate the greatest common divisor of 4 and c.", "a": "4" }, { "q": "Let v(t) = -t**3 + 7*t + 3. Let d be v(-3). Let i be (11/3)/(10 - d)*45. What is the highest common divisor of i and 30?", "a": "15" }, { "q": "Suppose c - 13*c = 8*c - 1000. What is the highest common divisor of c and 55?", "a": "5" }, { "q": "Suppose -18 = -3*d - 2*g - 3*g, 4*d = 4*g + 24. Let h(p) = -p**3 + 8*p**2 - 10*p + 21. Let i be h(d). What is the highest common divisor of 77 and i?", "a": "11" }, { "q": "Suppose d + 18 = 4*d. Let c be 1538/(-26) - (-26)/169. Let g = c - -68. What is the greatest common divisor of g and d?", "a": "3" }, { "q": "Let x = -69 - -76. Let y = 37 - 39. Let r be y/((-220)/(-56) + -4). Calculate the highest common divisor of x and r.", "a": "7" }, { "q": "Suppose -16*t + 10*t - 12 = -7*t. Calculate the greatest common factor of t and 9252.", "a": "12" }, { "q": "Suppose -84309 = -54*y - 11*y - 9429. What is the highest common divisor of 9 and y?", "a": "9" }, { "q": "Let q(d) = 22*d**2 + 69*d - 18. Let k be q(-9). Calculate the greatest common divisor of 9 and k.", "a": "9" }, { "q": "Suppose 10 = 5*r, -9*l - 3*r = -5*l - 614. What is the highest common divisor of l and 589?", "a": "19" }, { "q": "Suppose 0 = y + 4*q + 8, y = 3*y + 2*q + 34. Let w be (-48)/y + 2/(-5). Let o be 3/2 + 0 + 305/w. Calculate the highest common divisor of o and 14.", "a": "14" }, { "q": "Suppose -3*c + 222 + 153 = -y, -c = 3*y - 135. Let z = 0 - -18. What is the highest common factor of z and c?", "a": "18" }, { "q": "Let x(c) = c**3 - 38*c**2 - 9*c - 146. Let o be x(39). Calculate the highest common divisor of o and 2.", "a": "2" }, { "q": "Let r(m) = m**3 - 11*m**2 + 9*m + 4. Let p be r(10). Let l be (p/5)/((-5)/25). What is the greatest common factor of l and 4?", "a": "2" }, { "q": "Suppose 190*c - 33 = 187*c. Suppose 13*j - 88 = c*j. Calculate the greatest common divisor of 132 and j.", "a": "44" }, { "q": "Suppose -h - h - 5*t + 37 = 0, 5*t - 7 = 3*h. Suppose -20 = h*m - 11*m. Suppose 2*j - 96 = -m*j. Calculate the greatest common divisor of 4 and j.", "a": "4" }, { "q": "Let t be 1*(0 + -1 + 19). Suppose -7*x + 12*x - 182 = -2*k, 0 = 5*x + 4*k - 174. Suppose x*q = 42*q - 180. Calculate the highest common factor of t and q.", "a": "9" }, { "q": "Suppose -6*n = -2*n + 3*s + 528, 3*n + s + 391 = 0. Let g = n + 145. Let j = -6 - -8. Calculate the highest common factor of g and j.", "a": "2" }, { "q": "Let u = -229 + 233. Suppose -2*d + u*b + 182 - 62 = 0, b = -2*d + 130. Calculate the greatest common factor of d and 8.", "a": "8" }, { "q": "Suppose -116*k + 91751 = 15655. Calculate the greatest common divisor of k and 4.", "a": "4" }, { "q": "Let m = 15 + 41. Suppose 4*y + 12 = 7*y. Let t = 3 + y. What is the highest common factor of m and t?", "a": "7" }, { "q": "Let b(u) = 2*u + 24. Let y be b(-12). Let a be (-3 - y) + 51 + -15. Calculate the greatest common factor of 33 and a.", "a": "33" }, { "q": "Let v(n) = -2*n**2 - 29*n + 88. Let z be v(-16). Let f be (-2)/9 - (2900/18)/(-5). What is the greatest common divisor of z and f?", "a": "8" }, { "q": "Let d = -53 - -48. Let m be (-1)/d + 3 + 199/5. Let o(l) = -62*l - 9. Let a be o(-5). Calculate the greatest common factor of a and m.", "a": "43" }, { "q": "Suppose 0 = 4*m - 5*x - 5, x - 2 = 3*x. Let n be 1/(-1) + m + 6 + -4. Let q be n + 1*-2 + (5 - 2). What is the greatest common divisor of 5 and q?", "a": "1" }, { "q": "Let i(k) = -k**2 + 5*k + 78. Let z be i(-6). Suppose 10 = -3*h + 262. Calculate the greatest common factor of h and z.", "a": "12" }, { "q": "Let a(k) = 7*k**2 + 31*k + 10. Let o be a(-5). Suppose -10 = -v - 7. Let b be -5 + v - -14 - 0. What is the greatest common factor of o and b?", "a": "6" }, { "q": "Let c = 89 + -126. Let f = c + 42. Suppose 0 = f*m - 184 - 296. Calculate the greatest common factor of m and 12.", "a": "12" }, { "q": "Suppose 85*f - 7573 - 1012 = 0. Calculate the greatest common divisor of f and 8989.", "a": "101" }, { "q": "Let s(z) = 119*z**3 + 21*z**2 + z - 1. Let q be s(2). Calculate the highest common factor of 34 and q.", "a": "17" }, { "q": "Suppose -2*v + 0*y = -2*y - 50, 0 = 5*y. Let s = 31 - 33. Let c(a) = -48*a + 4. Let i be c(s). What is the greatest common factor of v and i?", "a": "25" }, { "q": "Let m be (-102)/(-3*6/9). Suppose -3*w - 59 = -a, 31*a - 210 = 28*a - 2*w. What is the highest common factor of a and m?", "a": "17" }, { "q": "Let r = 421 + -25. Let k = -276 + r. Calculate the highest common factor of 48 and k.", "a": "24" }, { "q": "Let x(d) = d + 22. Let i be x(-7). Let w(o) = 2*o - 20. Let k be w(12). Suppose k*m - 25 = -m. What is the highest common divisor of m and i?", "a": "5" }, { "q": "Suppose 0 = -31*o - 4911 + 78466 + 16779. Calculate the highest common factor of o and 62.", "a": "62" }, { "q": "Suppose -7*u + 390 = 110. Calculate the greatest common factor of u and 232.", "a": "8" }, { "q": "Let k = -3128 - -3139. What is the highest common factor of 517 and k?", "a": "11" }, { "q": "Let z = -929 - -1917. What is the highest common divisor of z and 104?", "a": "52" }, { "q": "Let k(p) = 3*p**2 + 3*p - 9. Let n be k(0). Let d be 36/(-2)*(-9)/(27 + n). Calculate the highest common divisor of d and 9.", "a": "9" }, { "q": "Suppose -2*j + 2*b = -26, 0 = -0*b + b - 5. What is the highest common divisor of 62 and j?", "a": "2" }, { "q": "Suppose -3*o + 4*g - 6*g = -2, -5*o + g + 12 = 0. Suppose -o*i - 9*i = -429. What is the highest common factor of i and 39?", "a": "39" }, { "q": "Let w(a) = -a**3 + 15*a**2 - 24*a + 162. Let l be w(14). Calculate the greatest common divisor of 143 and l.", "a": "11" }, { "q": "Suppose 2*a = -12*c + 16*c + 102, -2*c - 204 = -4*a. Calculate the greatest common factor of a and 9.", "a": "3" }, { "q": "Let j = -141 + 293. What is the greatest common factor of 4028 and j?", "a": "76" }, { "q": "Let k = -23 + 23. Suppose -4*l + k*j - 26 = -j, 5*j = 10. Let u be (4 - (-60)/(-8))*l. What is the greatest common factor of 21 and u?", "a": "21" }, { "q": "Suppose 27*p - 1755 = 540. What is the highest common divisor of p and 102?", "a": "17" }, { "q": "Suppose 3*o - 18 = -0*o. Let b(i) = 5 - o - 35*i + 6 - 4. Let p be b(-1). What is the highest common factor of 9 and p?", "a": "9" }, { "q": "Suppose -b + 807 = 5*o, 0 = -2*b + 10*o - 12*o + 1590. Calculate the highest common divisor of b and 891.", "a": "99" }, { "q": "Suppose 4*l = -4*w + 40, -3*l + 2*w + 42 = 2. Let g be (95 - (-1 - -1)) + -3 + 4. Calculate the highest common divisor of g and l.", "a": "12" }, { "q": "Let i(f) = f**2 - 11*f - 11. Let w be i(-1). Suppose 4*k - w = 3*k, -102 = -2*q + 2*k. Calculate the greatest common divisor of 130 and q.", "a": "26" }, { "q": "Let s(b) = 2*b + 6. Let u be s(-6). Let l = 8 + u. Suppose 3*z + 63 = 4*i, -4*i - 13 = -5*i - l*z. What is the highest common factor of i and 10?", "a": "5" }, { "q": "Let b = -191 + 191. Suppose -9*p + 3 + 141 = b. What is the highest common divisor of p and 80?", "a": "16" }, { "q": "Let x(j) = -12*j + 3. Let d be x(0). Let r(k) = k - 1. Let g be r(4). Suppose 6 + d = g*f. What is the greatest common factor of f and 3?", "a": "3" }, { "q": "Let b be 1*3/(9/6). Suppose 5*i - 6 - 10 = -2*s, 2*s - b*i - 44 = 0. Let r = 3088 - 2926. Calculate the greatest common factor of s and r.", "a": "18" }, { "q": "Suppose -3*l = 2*u - 1691, 3*l + 2514 = 32*u - 29*u. What is the highest common factor of u and 232?", "a": "29" }, { "q": "Suppose -2*c = -3*g + 25, -21 = -2*g + 5*c + 14. Suppose -8 = g*x - 3. Let l be (2/x)/6*(-14 + -16). What is the greatest common divisor of 90 and l?", "a": "10" }, { "q": "Suppose q + v = 165 - 34, -13*q = -5*v - 1667. What is the highest common divisor of q and 3?", "a": "3" }, { "q": "Let y be (-9)/2*1*(-23 + 2378/174). Suppose 19 = k - 16. What is the greatest common divisor of y and k?", "a": "7" }, { "q": "Suppose -5*o + 3*r = -2529, 0*r - r = 3*o - 1509. Calculate the highest common factor of o and 192.", "a": "24" }, { "q": "Suppose -157*j + 869 = 66*j - 2030. Let c be (0 + 2)*70/(-5). Let v = -15 - c. What is the highest common divisor of v and j?", "a": "13" }, { "q": "Let d(c) = 8*c - 4. Let q be d(4). Let l be 1 - -2 - 1/((-5)/20). Calculate the highest common divisor of l and q.", "a": "7" }, { "q": "Let o = -332 + 542. Calculate the highest common factor of 2625 and o.", "a": "105" }, { "q": "Suppose -40*c + 584 = 33*c. What is the greatest common divisor of c and 872?", "a": "8" }, { "q": "Let p be (-1 - -19) + (1 - -1). Let k = p + -10. Let v(g) = g - 11. Let y be v(16). Calculate the greatest common factor of k and y.", "a": "5" }, { "q": "Suppose 208 = 4*u + 7*c - 5*c, -2*u = 5*c - 104. Calculate the greatest common divisor of 221 and u.", "a": "13" }, { "q": "Let b = -202 - -216. Suppose -2*a + b*u + 89 = 9*u, 0 = -2*a + 3*u + 79. Calculate the greatest common factor of a and 12.", "a": "4" }, { "q": "Let z be 14/(-12) + 118439/102. Calculate the greatest common factor of z and 348.", "a": "116" }, { "q": "Suppose -3*d = -5*r + 1885, 3*r - 1115 = -21*d + 26*d. Calculate the highest common divisor of r and 76.", "a": "76" }, { "q": "Let t be ((-722)/2888)/((-1)/8). Suppose -3 = 5*x - 183. What is the greatest common divisor of t and x?", "a": "2" }, { "q": "Suppose -5*z + 4*a = -147, -a - 91 = 3*z - 6*z. Let l = -8 + -14. Let t = l + z. What is the highest common divisor of 6 and t?", "a": "3" }, { "q": "Let s(d) = -d**3 - 85*d**2 - 176*d - 375. Let c be s(-83). Calculate the greatest common factor of 1001 and c.", "a": "91" }, { "q": "Suppose -4*s + 390 = -s. Let z = 82 - s. Let m = 57 + z. Calculate the greatest common divisor of 3 and m.", "a": "3" }, { "q": "Let h = 1726 + -1618. What is the highest common divisor of 1998 and h?", "a": "54" }, { "q": "Suppose 77 = -5*t + 67. Let r(g) = 68*g**2 + 4*g + 6. Let d be r(t). What is the greatest common divisor of d and 54?", "a": "54" }, { "q": "Let w(j) be the third derivative of -j**5/60 + 5*j**4/8 + 29*j**3/3 - 57*j**2. Let a be w(18). What is the greatest common divisor of a and 4?", "a": "4" }, { "q": "Suppose -3080 - 15309 = -27*a + 5128. Calculate the greatest common divisor of 26 and a.", "a": "13" }, { "q": "Let h be -1*(-2)/(-8) - 5384/(-32). Calculate the greatest common divisor of 1764 and h.", "a": "84" }, { "q": "Suppose 10*a + 43 = -7. Let b(r) = 3*r - 20. Let q(x) = -5*x + 30. Let c(l) = a*q(l) - 8*b(l). Let u be c(-6). What is the greatest common factor of 8 and u?", "a": "4" }, { "q": "Let i(h) = 3*h - 2. Let v be i(-3). Let a(o) = -6*o. Let j be a(v). Suppose k - j = 55. Calculate the greatest common divisor of 11 and k.", "a": "11" }, { "q": "Let l(t) = 100*t**3 - t**2 + 1. Let u be l(1). Suppose c + 6*c - 21 = 0. Let b be (2 - 12)*c/(18/(-12)). What is the highest common factor of u and b?", "a": "20" }, { "q": "Suppose -10*a + 5730 = -4931 + 1921. Calculate the highest common factor of a and 46.", "a": "46" }, { "q": "Let u = 5365 + -5351. Let n(o) = o + 13. Let l be n(-9). Let x be (l/(-2))/1 + 4. What is the highest common factor of x and u?", "a": "2" }, { "q": "Suppose 0 = -65*m - 1150 + 2997 + 2378. Let j be ((-65)/(-2))/(3/18). What is the greatest common divisor of m and j?", "a": "65" }, { "q": "Let p(t) = -2*t**2 + 13*t - 11. Let d be p(5). Suppose -78 = -4*c + q, -2*q = -c - d*c + 96. Calculate the highest common divisor of 180 and c.", "a": "20" }, { "q": "Let w = 256 - 140. Calculate the greatest common factor of 841 and w.", "a": "29" }, { "q": "Let q(z) = 56*z**3 + 17*z**2 - 40*z + 4. Let c be q(2). Calculate the greatest common factor of c and 50.", "a": "10" }, { "q": "Suppose 5*k - 4*x - x = 1060, -5*x = k - 188. Suppose -2*m = w - 26, -w - 39 = -3*m - 5*w. Calculate the greatest common factor of k and m.", "a": "13" }, { "q": "Suppose 3*l - 4*b = 177, -2*l + 8 = 2*b - 124. Let m = 320 - 177. Let y = m - 134. Calculate the greatest common divisor of l and y.", "a": "9" }, { "q": "Suppose 3*y - 579 = 3*j - 2478, 0 = 5*j + 4*y - 3183. Calculate the highest common divisor of 1651 and j.", "a": "127" }, { "q": "Let i = -2492 + 3233. Calculate the greatest common divisor of i and 513.", "a": "57" }, { "q": "Let w be (6/(-10))/(20/(-100)). Suppose 56 = w*u - 118. Let h(i) = 28*i + 1. Let y be h(1). Calculate the greatest common factor of y and u.", "a": "29" }, { "q": "Let i(g) = g**2 + 4*g + 5. Let r be i(-3). Suppose -4 = 4*x, k + 4*x = -r + 4. What is the greatest common divisor of k and 174?", "a": "6" }, { "q": "Let c(i) = i**2 - 8*i - 12. Let x be c(7). Let w = x - -46. What is the greatest common factor of w and 81?", "a": "27" }, { "q": "Let g(v) = -2*v**3 + 6*v**2 - v. Let k be g(4). Let l be (18/k)/(1/(-6)). Let t be 240/(-32)*(-32)/l. Calculate the highest common factor of 20 and t.", "a": "20" }, { "q": "Let q = -40 - 21. Suppose 2*d + 5*c = -34, 3*c - 9 = 3*d - 0. Let a be 6/21 + q/d. What is the highest common divisor of 27 and a?", "a": "9" }, { "q": "Let j(u) = 8*u**2 + 25*u - 60. Let k be j(4). Calculate the greatest common divisor of 714 and k.", "a": "42" }, { "q": "Let r = -2552 - -4077. Calculate the greatest common divisor of r and 61.", "a": "61" }, { "q": "Suppose 31*j - 295 = 26*j - 2*p, 2*p = -j + 59. Let w = j + -29. What is the greatest common divisor of w and 60?", "a": "30" }, { "q": "Suppose -82*r - 76*r + 2480 = -34*r. Suppose -3*p + 43 + 5 = 0. Calculate the highest common factor of p and r.", "a": "4" }, { "q": "Let k(x) = 2*x**2 + 21*x + 28. Let q be k(-9). Suppose 5*c - w - 3*w = 19, 0 = 2*c + 5*w - q. What is the greatest common divisor of 7 and c?", "a": "1" }, { "q": "Suppose -816 - 506 - 284 = -73*z. Calculate the greatest common divisor of z and 26.", "a": "2" }, { "q": "Let m(d) = d**3 - 3*d**2 - d + 7. Let o be m(3). Suppose k = v + 44, -o*k = -2*v - 279 + 97. Let r = k + -38. What is the highest common factor of 72 and r?", "a": "9" }, { "q": "Suppose 140*w - 90528 = 99*w. What is the greatest common factor of w and 69?", "a": "69" }, { "q": "Let c(x) = -7*x + 136. Let b be c(7). What is the highest common factor of 6 and b?", "a": "3" }, { "q": "Suppose 4*r = 4*g - 48, -4*r - r = 3*g - 68. Suppose -115*k = -66*k - 484 - 3436. What is the greatest common factor of k and g?", "a": "16" }, { "q": "Let x(r) = 314*r - 669. Let f be x(5). What is the greatest common factor of 34 and f?", "a": "17" }, { "q": "Suppose 62*w = 71*w - 270. Suppose -k = 7 - 4. Let t be k + -24*(-1 - 1). What is the highest common factor of t and w?", "a": "15" }, { "q": "Let a(o) = -50*o + 300. Let m be a(2). Calculate the highest common divisor of 2350 and m.", "a": "50" }, { "q": "Let v(p) = p**3 - p**2 + 2*p - 145. Let z be v(0). Let j = -120 - z. What is the greatest common divisor of 1 and j?", "a": "1" }, { "q": "Let z be (0/(-2))/(24 + -19). Suppose 25 = r + 4*l, 0 = -z*r - 4*r - 5*l + 89. Calculate the greatest common factor of r and 7.", "a": "7" }, { "q": "Let j(i) = -50*i - 52. Let s be j(-2). Calculate the highest common divisor of s and 117.", "a": "3" }, { "q": "Let l(u) = 33*u + 1103. Let r be l(-30). Calculate the highest common divisor of 6102 and r.", "a": "113" }, { "q": "Let h(f) = -f**3 + 3*f**2 - f + 2. Let j be h(2). Let n be (162 - (6 + -2)) + j. Let t be 22 + -6 + (1 - -1). Calculate the highest common divisor of n and t.", "a": "18" }, { "q": "Let q(o) = o**3 - 36*o**2 + 30*o + 180. Let k be q(35). What is the greatest common divisor of 1135 and k?", "a": "5" }, { "q": "Let m be (-8 + 1792/42)*6. What is the greatest common factor of 1092 and m?", "a": "52" }, { "q": "Suppose -r = s - 1473, 245*r - 249*r = 2*s - 2954. Calculate the greatest common factor of s and 26.", "a": "13" }, { "q": "Let i be (-1 + (-38)/(-8))/((-165)/1760). Let d be ((-18)/(-45))/((-2)/i). Calculate the greatest common factor of 152 and d.", "a": "8" }, { "q": "Suppose 0 = -c + 2*l - 7, 9*c - 2*l + 43 = 4*c. Let p = c + 64. Calculate the greatest common factor of 385 and p.", "a": "55" }, { "q": "Suppose -4*q + 30 = 2*q. Suppose 15 = q*d - 120. Suppose -h + 9 = 2*a - 21, 0 = -3*a + 3*h + d. Calculate the greatest common divisor of a and 78.", "a": "13" }, { "q": "Suppose 5013 = 18*t - 4383. What is the highest common divisor of t and 54?", "a": "18" }, { "q": "Suppose 11 - 3 = x. Let j(i) = i**2 + 89*i - 972. Let a be j(11). Calculate the highest common divisor of x and a.", "a": "8" }, { "q": "Let h = 382 + -343. What is the greatest common factor of h and 273?", "a": "39" }, { "q": "Let a(q) = -3*q**2 - 10 + 2*q**2 - 1 - 22*q + 6*q. Let m be a(-12). What is the greatest common divisor of 333 and m?", "a": "37" }, { "q": "Let p = 15 + 5. Let x = -3554 + 3553. Let u be p/(7*(x - 36/(-28))). Calculate the highest common factor of 2 and u.", "a": "2" }, { "q": "Let x be 192/(-20)*450/(-27). Suppose -298 = -7*o - 158. What is the greatest common factor of o and x?", "a": "20" }, { "q": "Let x be (-9)/(-15) - ((-4040)/100 - -5). Let g = -38 - -76. Suppose 2*c + 2*c + 5*r - g = 0, -54 = -5*c - 3*r. Calculate the greatest common factor of c and x.", "a": "12" }, { "q": "Suppose 0 = 5*d, 5*a + d = -3*d + 30. Let l be (a/18)/((-2)/(-186)). Suppose 6*i - 47 = l. Calculate the highest common divisor of 117 and i.", "a": "13" }, { "q": "Let d be (-1 - (0 - 3)) + 3 + -3. Let z be (2 + (904/12)/d)*3. What is the highest common factor of 17 and z?", "a": "17" }, { "q": "Let q(b) be the first derivative of 8*b**3/3 + 121*b - 70. Let h be q(0). Calculate the highest common factor of h and 11.", "a": "11" }, { "q": "Suppose -13*r + 174 = 31. Suppose -7*y + 18 = r. What is the greatest common divisor of 2 and y?", "a": "1" }, { "q": "Let k be -2*2 + (-154)/(-56)*36. Calculate the greatest common factor of k and 5510.", "a": "95" }, { "q": "Suppose -65*m - 5 = -66*m. Suppose 0 = m*f - 8*f + q + 83, -5*q - 64 = -2*f. What is the highest common divisor of f and 1?", "a": "1" }, { "q": "Let d = -270 + 588. Calculate the highest common divisor of d and 901.", "a": "53" }, { "q": "Suppose -3*y = -y + 5*r - 43, r - 71 = -3*y. Suppose 7*s - 2743 = -895. What is the greatest common factor of s and y?", "a": "24" }, { "q": "Let i = 3 + -2. Let a be ((-1)/(-2) - i)*-96. Suppose f + 19 = 2*p, -3*p - 2*f = -9 - 9. Calculate the highest common divisor of p and a.", "a": "8" }, { "q": "Let q be 1 - (-10)/(1*2). Let n = 45286 - 45274. What is the highest common divisor of q and n?", "a": "6" }, { "q": "Suppose -4*q + 60 = -0. Let r(o) = 15*o - 195. Let b be r(15). What is the highest common divisor of b and q?", "a": "15" }, { "q": "Let p = 1187 - 1091. What is the highest common divisor of p and 392?", "a": "8" }, { "q": "Let u = -2 + 15. Let l(w) = -12*w**2 + 113*w - 205. Let p be l(3). Calculate the greatest common divisor of u and p.", "a": "13" }, { "q": "Suppose -148*s - 2*z = -149*s + 101, -4*s + 5*z + 395 = 0. What is the highest common factor of 133 and s?", "a": "19" }, { "q": "Let d(a) = 16*a - 120. Let w be d(8). Let u be (-20)/w*32/20 + 37. What is the greatest common divisor of 44 and u?", "a": "11" }, { "q": "Let r be (-217)/(-12) - 18/216. Calculate the greatest common factor of r and 6822.", "a": "18" }, { "q": "Let f = 880 - -2606. What is the highest common divisor of f and 21?", "a": "21" }, { "q": "Let m = 840 - 782. What is the highest common factor of m and 928?", "a": "58" }, { "q": "Let b be ((-8)/(-14))/(8/28). Suppose -b*j + 6*j - 8 = 0. Suppose -27 = j*x - 5*x. What is the highest common factor of x and 81?", "a": "9" }, { "q": "Let a(q) = q**2 - 35*q + 133. Let y be a(31). Suppose -3*g - 65 + 290 = 3*v, -201 = -3*v + 5*g. What is the greatest common divisor of v and y?", "a": "9" }, { "q": "Suppose -2*q - 67 = -71. Suppose 0 = -2*t + 5*h - q, -3*t - 6 = -5*t + 3*h. What is the greatest common factor of 6 and t?", "a": "3" }, { "q": "Let w be 12/10*(3 - -17). Suppose 3*h = -123 + w. Let u = 44 + h. What is the greatest common factor of 11 and u?", "a": "11" }, { "q": "Let v = 43 + -28. Suppose -3*w - 8 - 16 = 0. Let o = v + w. What is the highest common divisor of 7 and o?", "a": "7" }, { "q": "Let b be (21 - 12) + -3 - -2807. Calculate the highest common divisor of 87 and b.", "a": "29" }, { "q": "Let o(x) = -x**3 + 46*x**2 - 505*x + 3. Let i be o(19). Calculate the greatest common divisor of 279 and i.", "a": "31" }, { "q": "Suppose -2*s - 106 + 872 = -5*p, 5*s - 1936 = 2*p. Calculate the greatest common factor of 8 and s.", "a": "4" }, { "q": "Let g be (39/6)/((-2)/(-164)) - -4. Suppose -6*q + g = 123. What is the greatest common divisor of 3 and q?", "a": "3" }, { "q": "Let o = -2127 - -2193. What is the highest common factor of 474 and o?", "a": "6" }, { "q": "Suppose -5*r + 32 = a - 24, 4*r + 4*a - 32 = 0. Suppose -13*p - r = -38. Suppose c + c = 10. Calculate the highest common factor of p and c.", "a": "1" }, { "q": "Let p = 48 + -27. Let m = -8 + 58. Let n = -29 + m. What is the greatest common divisor of n and p?", "a": "21" }, { "q": "Let x(y) = y**2 - 7*y - 6. Let z be x(7). Let p(t) = 2*t - 8*t + 5 - 9*t**3 - 7*t**2 + 8*t**3. Let h be p(z). What is the greatest common divisor of h and 40?", "a": "5" }, { "q": "Let q(l) = l**3 - 47*l**2 - 28*l - 310. Let s be q(50). Calculate the greatest common divisor of 15 and s.", "a": "15" }, { "q": "Let z(t) = -t**3 + 11*t**2 - 10*t - 2. Let r be z(8). Let c be r*(27/3 - 6). What is the greatest common factor of c and 30?", "a": "30" }, { "q": "Let j = 188 + -195. Let r = j - -14. What is the highest common factor of r and 7?", "a": "7" }, { "q": "Let q be -258*(-40)/(-16)*(126/(-5))/2. What is the highest common divisor of q and 43?", "a": "43" }, { "q": "Suppose -2*p - 12 = -3*v, -3*v + 9 = -0*p - p. Let u be 43/2 + v/4. Let k = u + -19. What is the greatest common divisor of k and 12?", "a": "3" }, { "q": "Let q = -3157 - -3188. Calculate the highest common divisor of q and 1147.", "a": "31" }, { "q": "Let j = -216 + 206. Let z be (10*(-2)/12)/(j/18). What is the greatest common divisor of 2 and z?", "a": "1" }, { "q": "Suppose -16*j + 5*j = 33. Let s be ((-310)/50 + 5)/(j/100). What is the greatest common divisor of 5 and s?", "a": "5" }, { "q": "Suppose 17 = 3*q - 19. Let g = 317 - 313. Let c be 2/((-6)/(-73)) - g/q. Calculate the greatest common divisor of c and 216.", "a": "24" }, { "q": "Suppose 2*x = -j + 476, x = 2*j + 186 + 47. What is the greatest common factor of x and 79?", "a": "79" }, { "q": "Let m(d) = 6*d - 3. Let p be m(1). Suppose p*r = -3*j + 21, r + r = 5*j - 21. What is the greatest common factor of j and 25?", "a": "5" }, { "q": "Let v(u) = u**2 - 23*u - 42. Let a be v(-2). Suppose -4*t + 335 + 209 = 0. Calculate the highest common factor of t and a.", "a": "8" }, { "q": "Let f = 1543 + 491. Calculate the greatest common divisor of 18 and f.", "a": "18" }, { "q": "Suppose 132 = 207*i - 104*i - 99*i. Calculate the highest common divisor of i and 1353.", "a": "33" }, { "q": "Let a = 4736 + -4687. Let b(v) = v**2 + 49. Let m be b(0). Calculate the greatest common factor of m and a.", "a": "49" }, { "q": "Let p be 4/9 + 2/(-90)*-2815 + -7. Let g be -56*-2*3/6. Calculate the greatest common divisor of g and p.", "a": "56" }, { "q": "Let w(y) = -y**2 + 5*y - 5. Let o be w(7). Let k = o - -24. Suppose k*t = 4*t + 80. Calculate the highest common divisor of t and 16.", "a": "16" }, { "q": "Let p(c) = -c**2 - 92*c + 712. Let b be p(-79). What is the greatest common divisor of 47 and b?", "a": "47" }, { "q": "Let f = -136 + 139. Calculate the greatest common divisor of f and 1257.", "a": "3" }, { "q": "Let l(p) = -p + 1. Let i be l(-1). Let o be i + (2 - -4)*6. Let n = o + -10. Calculate the greatest common divisor of n and 4.", "a": "4" }, { "q": "Let y(v) = 741*v + 13365. Let h be y(-18). Suppose -874 = -4*g + 5*w, 5*g + 136 - 1212 = -2*w. What is the highest common factor of h and g?", "a": "27" }, { "q": "Suppose 0 = 64*m - 65*m + 24. Let g(o) = -2*o**3 - 4*o**2 - 4*o + 2. Let s be g(-3). Calculate the highest common divisor of s and m.", "a": "8" }, { "q": "Let w(v) = -2*v**3 + 40*v**2 - 17*v - 48. Let u be w(19). Calculate the highest common divisor of u and 117.", "a": "117" }, { "q": "Suppose 0 = 2*u - 8, -3*w + 190 = -6*u + u. What is the highest common factor of w and 455?", "a": "35" }, { "q": "Suppose -g + 0*g - 4*m + 576 = 0, 5*g - 2905 = 5*m. Calculate the greatest common factor of g and 160.", "a": "20" }, { "q": "Let f(q) = 4*q + 64. Let z be f(26). Let i = -41 + 83. What is the highest common factor of i and z?", "a": "42" }, { "q": "Suppose c + 5*p = 3*c + 7, 1 = p. Let b be 0 + c + 2 + 120/12. Let r be (b + -45)/((-3)/((-3)/(-2))). Calculate the greatest common divisor of 17 and r.", "a": "17" }, { "q": "Let g(t) = -t**2 + 7*t - 2. Let l be g(5). Suppose f = l + 12. Suppose s = -s + f. Calculate the highest common factor of s and 15.", "a": "5" }, { "q": "Let a = 8839 - 3583. Calculate the greatest common divisor of 72 and a.", "a": "72" }, { "q": "Let z(w) = -w**3 - 12*w**2 - 21*w - 9. Let y be z(-10). Let u be y/(3/156) + 6. What is the highest common divisor of u and 232?", "a": "58" }, { "q": "Let s(q) = 23*q + 277. Let x be s(-11). Calculate the greatest common factor of x and 268.", "a": "4" }, { "q": "Let w(n) = 214 + 0*n - n - n**2 + 17. Let x be w(0). Let h be 12432/(-592)*(1 - 2). What is the highest common factor of h and x?", "a": "21" }, { "q": "Suppose -231*t + 224*t + 21 = 0. Let m(x) = -x**2 + 24*x + 1. Let s be m(t). Calculate the greatest common factor of 4 and s.", "a": "4" }, { "q": "Let b(p) be the third derivative of -p**4/8 - p**3/3 - 104*p**2. Let y be b(-6). Let l = 88 - 40. Calculate the highest common factor of l and y.", "a": "16" }, { "q": "Let r be 3266/1058 - (-4)/(-46). Suppose r*n = -2*k + 135, -5*k + 4*k = 5*n - 50. Calculate the highest common divisor of k and 125.", "a": "25" }, { "q": "Suppose -43 = 127*m - 126*m - 127. Calculate the greatest common factor of 2898 and m.", "a": "42" }, { "q": "Let o be ((-16)/20 - 0)/((-6)/3885). Suppose 6*z = -o + 2798. What is the highest common factor of 20 and z?", "a": "20" }, { "q": "Let x be (36/(-21))/(4/168). Let y be 18/x + 153/4. Suppose 3*m - 2*m - y = 0. Calculate the greatest common factor of 114 and m.", "a": "38" }, { "q": "Suppose -2506 = -79*l - 136. Calculate the greatest common factor of l and 120.", "a": "30" }, { "q": "Let q be (7 + (-60)/6)*100/(-12). Suppose -5*r + 811 = -314. What is the highest common factor of r and q?", "a": "25" }, { "q": "Let f(a) = a**3 + 97*a**2 + 471*a + 1031. Let o be f(-92). Suppose -3*c + 1292 = c. Calculate the highest common divisor of o and c.", "a": "19" }, { "q": "Let s be (6*1 - -1) + -1. Let h = 0 + s. Let q(f) = f**2 + 1870*f - 64724. Let g be q(34). What is the highest common divisor of g and h?", "a": "6" }, { "q": "Let w be (-16)/24 + 8140/60. Calculate the highest common divisor of 510 and w.", "a": "15" }, { "q": "Suppose 66 = 2*x - 0*x. Let o(d) = -71*d - 97. Let z(j) = 36*j + 47. Let m(t) = 2*o(t) + 5*z(t). Let k be m(-1). Calculate the highest common factor of x and k.", "a": "3" }, { "q": "Suppose 0 = 1007*a - 1026*a + 228. Calculate the highest common divisor of a and 3684.", "a": "12" }, { "q": "Suppose 2*d - 67 = 73. Let a be 252/(-120)*(-620)/93. Calculate the highest common factor of d and a.", "a": "14" }, { "q": "Let s be -3 + (250 - (-1 + 6)). Suppose 33*q = 22*q + s. What is the highest common divisor of 462 and q?", "a": "22" }, { "q": "Let s = 3875 - 3650. What is the highest common divisor of s and 30?", "a": "15" }, { "q": "Let j(k) be the third derivative of 9*k**5/10 + 3*k**4/8 - 3*k**3/2 - 23*k**2. Let m be j(2). Calculate the highest common factor of 25 and m.", "a": "25" }, { "q": "Suppose -5*v + 2*h - 27 = -278, v - h - 52 = 0. Let y be -1 - -441 - (-4 + 3). What is the greatest common factor of v and y?", "a": "49" }, { "q": "Let i(z) = -10*z - 6. Suppose p - 9 = -g - 1, -4*p + 3*g + 11 = 0. Let w = p - 10. Let h be i(w). What is the greatest common divisor of h and 22?", "a": "22" }, { "q": "Suppose 58*u - h + 19 = 63*u, -10 = -3*u - 2*h. What is the highest common factor of u and 1320?", "a": "4" }, { "q": "Suppose 2*b - 8*b + 12 = 0. Let r(o) = o**2 - 12*o + 9. Let u be r(12). Let i be (0 + (-3)/u)*(-30)/b. Calculate the highest common factor of i and 15.", "a": "5" }, { "q": "Suppose -10*f = -25*f + 63450. Calculate the highest common factor of 90 and f.", "a": "90" }, { "q": "Suppose b + 93 = -3*c, 0 = 4*b + 2*c - 7*c + 389. Let y be (5/(100/b))/((-9)/150). Calculate the greatest common divisor of y and 32.", "a": "16" }, { "q": "Let y be -24*9/90*-120. Calculate the highest common factor of y and 396.", "a": "36" }, { "q": "Let r be 8*2/(-4) - 319/(-2)*10. Calculate the highest common factor of r and 258.", "a": "43" }, { "q": "Suppose -10*o = -6292 - 1628. What is the greatest common divisor of 648 and o?", "a": "72" }, { "q": "Let x = -2938 + 2944. Suppose -p - p = -4*h + 80, -5*p = -2*h + 56. What is the greatest common factor of h and x?", "a": "6" }, { "q": "Let d = 441 - 251. Let i = d - 136. Calculate the highest common divisor of i and 27.", "a": "27" }, { "q": "Suppose -41*r + 534 = -38*r. Let v = r - 159. What is the highest common factor of v and 171?", "a": "19" }, { "q": "Let d(j) = 11*j**2 - 304*j - 127. Let b be d(29). Calculate the greatest common factor of 264 and b.", "a": "44" }, { "q": "Let w(x) = -x**3 - 13*x**2 + 6. Let p be w(-13). Suppose -p*h = -h - 25. What is the highest common factor of 190 and h?", "a": "5" }, { "q": "Let y = 61 - 61. Suppose y*p + 30 = 5*p. Suppose 0 = 3*w + 21 - 75. Calculate the highest common divisor of w and p.", "a": "6" }, { "q": "Suppose 5*z = 2*r - 319, -9*r + 7*r = -2*z - 322. Calculate the highest common divisor of 126 and r.", "a": "18" }, { "q": "Let k(b) = -b**3 - 12*b**2 + 12*b + 2. Let l be k(-12). Let u be l/(-7) - (2 + 12/(-7)). Let t = u - 9. What is the greatest common divisor of t and 22?", "a": "11" }, { "q": "Let j be (8 + -3)*6/10. Suppose -5*s - 7 = 4*h - 2*h, -j*h - 3*s - 6 = 0. Let d be (h + (-2 - -4))*3. Calculate the highest common divisor of 9 and d.", "a": "3" }, { "q": "Let z = 196 - 133. Let q be 2/(-7) + 3/(z/573). Calculate the highest common divisor of q and 324.", "a": "27" }, { "q": "Let u = -213 - -183. Let y be ((-72)/u)/(-4*(-2)/100). What is the greatest common divisor of 12 and y?", "a": "6" }, { "q": "Suppose -85*m = -71*m - 476. Calculate the highest common factor of 1275 and m.", "a": "17" }, { "q": "Let y(v) = v**2 + 11*v + 512. Let m be y(0). Calculate the greatest common factor of m and 640.", "a": "128" }, { "q": "Let o(k) = k**3 + 3*k**2 - 4*k - 9. Let t be o(-4). Let z = t - -8. Let d = 8 + z. Calculate the greatest common divisor of d and 35.", "a": "7" }, { "q": "Let d(s) = 5*s - 20. Let b be d(5). Suppose 5*k = 4*a + 100, 5*a + 73 = b*k - 2*k. What is the greatest common factor of k and 88?", "a": "8" }, { "q": "Suppose -1683 = 8*m - 10*m - 31*m. What is the highest common factor of m and 816?", "a": "51" }, { "q": "Let i(t) = 3*t**2 + 4*t - 6. Let c be i(2). Suppose 6 - c = -2*w. What is the greatest common divisor of 52 and w?", "a": "4" }, { "q": "Let g be -5 + (2 - 0) - (0 - 3). Suppose 0 = f + o - 555, 2*f + g*o - 1107 = -o. Calculate the highest common divisor of 69 and f.", "a": "69" }, { "q": "Suppose -4*v - r = -5*v + 22, -5*r = -10. Let t = v - -88. Calculate the highest common divisor of t and 14.", "a": "14" }, { "q": "Suppose 8016*a - 8020*a + 1276 = 0. Calculate the greatest common factor of 377 and a.", "a": "29" }, { "q": "Let j = -2357 + 2637. What is the highest common divisor of j and 350?", "a": "70" }, { "q": "Let q be 3 + -3 - -70*1. Suppose -15*r + 993 + 350 + 127 = 0. What is the greatest common factor of r and q?", "a": "14" }, { "q": "Suppose -3*g - 966 = -0*g - 5*b, -2*g + 5*b = 644. Let f be (1/2)/((-23)/g). Let p be (f - 6/2) + 56. Calculate the greatest common divisor of 12 and p.", "a": "12" }, { "q": "Let a(x) = -x**3 - 2. Suppose d = -5*b + 2 - 18, -5*b - 4 = 4*d. Let z be (-1)/(1 + (-2)/d). Let c be a(z). What is the highest common factor of 30 and c?", "a": "6" }, { "q": "Let v be (2076/45 - 12/90) + 2. Calculate the highest common factor of 1776 and v.", "a": "48" }, { "q": "Let o(x) = x**3 + 43*x**2 - 46*x + 7. Let t be o(-44). What is the highest common factor of 38 and t?", "a": "19" }, { "q": "Suppose -17*o + 4*n = -160 - 430, -3 = n. What is the greatest common divisor of o and 1989?", "a": "17" }, { "q": "Let v(m) = -101*m - 24. Let o(n) = 2*n - 27. Let j be o(12). Let i be v(j). Let k = 9 + 22. What is the highest common factor of i and k?", "a": "31" }, { "q": "Let j be (1 - ((-64)/(-12) - 5))*27. Suppose 3*h = h. Let l be j - (-4)/(h + -4). What is the greatest common divisor of l and 51?", "a": "17" }, { "q": "Let z = -4060 - -5182. What is the highest common divisor of z and 306?", "a": "102" }, { "q": "Let w be 1935*((-13)/(-3) - (0 + -11 - -15)). What is the highest common factor of w and 15?", "a": "15" }, { "q": "Suppose -n + 528 = 3*n. Suppose 494*y + 498*y - 990*y - 132 = 0. What is the greatest common factor of y and n?", "a": "66" }, { "q": "Let d = -101 - -137. What is the highest common factor of 1284 and d?", "a": "12" }, { "q": "Let x be 64/2 + 37 + -45. Let y be 18/(-6) - 67*-1. What is the greatest common factor of y and x?", "a": "8" }, { "q": "Let x(s) = -27*s - 42. Let v be x(-2). Suppose 6*r - 796 = -3*g + 4*r, 2*g - 526 = r. Suppose 0*k = 2*k - g. Calculate the highest common factor of k and v.", "a": "12" }, { "q": "Suppose -4*y + 0 = 12, 0 = -5*j - 3*y + 76. Suppose 4*q = 19*q - 510. Calculate the highest common divisor of j and q.", "a": "17" }, { "q": "Let x = 636 - 531. What is the greatest common factor of x and 120?", "a": "15" }, { "q": "Let d be 1 - ((-2 - 66) + 4). Let q = -55 - -34. Let w be q*(-8)/6 - (2 - 0). What is the greatest common divisor of w and d?", "a": "13" }, { "q": "Let o be (105/(-2))/(-7)*(-88)/(-33). Let g(m) = -m + 3. Let d be g(-5). What is the greatest common factor of d and o?", "a": "4" }, { "q": "Let x be ((-1)/(-2) + -1)/((-1)/66). Let o = x - 7. Let k = o + 16. Calculate the highest common divisor of 28 and k.", "a": "14" }, { "q": "Let p = -264 + 518. Suppose v = -v + p. Suppose 0 = -d + 3*b + 43, -2*d - v = -6*d + 3*b. Calculate the highest common factor of d and 28.", "a": "28" }, { "q": "Let m(k) = k**3 - 8*k**2 + k + 10. Let p be m(5). Let n be (p/25)/(3*2/(-45)). Calculate the greatest common divisor of n and 360.", "a": "18" }, { "q": "Suppose -1812 = -u - 3*u. Let p = u + -111. Let j be (-870)/(-24) + (-145)/20 + 9. Calculate the highest common factor of j and p.", "a": "38" }, { "q": "Suppose 0*j + 2*j + 92 = 2*m, -2 = j. Suppose -484*t = 522*t - 44264. What is the greatest common divisor of m and t?", "a": "44" }, { "q": "Let q(c) be the second derivative of -2*c**3/3 - 19*c**2/2 - 9*c. Let f be q(-8). Let t = -76 - -141. Calculate the greatest common factor of f and t.", "a": "13" }, { "q": "Suppose 5*s - 8*s + 11*s - 424 = 0. What is the highest common factor of 1908 and s?", "a": "53" }, { "q": "Suppose 601*c - 534*c - 33031 = 0. Calculate the highest common factor of 87 and c.", "a": "29" }, { "q": "Let q be (-240)/(-36)*(-15)/(-50). Let c be (-14)/2 + 4 + -3. Let l = c + 14. Calculate the greatest common factor of q and l.", "a": "2" }, { "q": "Let y = -32 + 34. Let g = -4 - y. Let m be ((-4)/g)/((-18)/(-7425)). What is the greatest common divisor of 25 and m?", "a": "25" }, { "q": "Let k = 2049 + -1967. What is the highest common factor of k and 205?", "a": "41" }, { "q": "Let m = 4 - -2. Suppose -2*b - 325 = -337. Calculate the highest common factor of m and b.", "a": "6" }, { "q": "Let v be (4*1)/(2/10). Let y be (-8)/10 - ((-9885)/75 + -9). What is the highest common divisor of v and y?", "a": "20" }, { "q": "Let b be (21/1)/((-19)/(-171)). What is the greatest common divisor of b and 8883?", "a": "189" }, { "q": "Let r be (0 - -1) + 224 + 0. Let h be 237/27 - (6 + (-448)/72). Calculate the greatest common factor of r and h.", "a": "9" }, { "q": "Let r be -9*(12/(-45))/((-4)/(-10)). Calculate the highest common factor of r and 110.", "a": "2" }, { "q": "Let f be 1029 - ((-95)/(-38))/(3/(-6)). What is the highest common divisor of 176 and f?", "a": "22" }, { "q": "Let s be (-3)/(-6) - (-1428)/24. Suppose -2*c = 2*c - 144. What is the greatest common factor of c and s?", "a": "12" }, { "q": "Let k be ((-8)/36)/(1*1/(-9)). Suppose k = -n - 2, -3*n + 340 = 2*l. What is the greatest common factor of 48 and l?", "a": "16" }, { "q": "Let i be 4*(21/20 + 42/35). Calculate the highest common factor of 83 and i.", "a": "1" }, { "q": "Let x = 46 + -45. Suppose -u + 6 - x = 0. Suppose -u*t - 54 = -3*r, 0 = 4*t + 20 - 8. Calculate the greatest common divisor of r and 52.", "a": "13" }, { "q": "Let h be 12/6 - (-4)/(-2) - -5. Suppose -5*j + 25 = 6*x - 2*x, h*j = x + 25. Calculate the highest common divisor of 160 and j.", "a": "5" }, { "q": "Let n = 4165 + -2857. What is the greatest common factor of n and 6?", "a": "6" }, { "q": "Suppose -3*p + 634 = -4*a, 5*a - a + 1054 = 5*p. Suppose -63*r - p = -68*r. What is the greatest common factor of r and 378?", "a": "42" }, { "q": "Suppose -9*y = -14 - 4. Suppose -y*l = -5*l + 1290. Calculate the highest common factor of 10 and l.", "a": "10" }, { "q": "Suppose -509*y - f = -507*y - 4, 4*f + 17 = 3*y. What is the greatest common factor of y and 75?", "a": "3" }, { "q": "Suppose h = 13 - 0. Let v = 19 + h. Let t = 40 - v. What is the highest common divisor of t and 1?", "a": "1" }, { "q": "Let j(w) = 2*w**2 - 17*w + 83. Let o be j(8). Calculate the greatest common divisor of o and 4575.", "a": "75" }, { "q": "Let a = -4136 + 4189. What is the greatest common factor of a and 901?", "a": "53" }, { "q": "Suppose 0*y = 5*y - v - 2368, 4*y - 1889 = -v. Let s(z) = 5*z + 28. Let u be s(3). What is the greatest common factor of y and u?", "a": "43" }, { "q": "Suppose -3*i = 2*n - 3*n + 323, 1545 = 5*n - i. What is the greatest common divisor of n and 14?", "a": "14" }, { "q": "Let c(g) = -g**3 + 60*g**2 - 3*g + 208. Let v be c(60). Calculate the highest common factor of v and 14.", "a": "14" }, { "q": "Let f = -110 + 63. Let w = f - -43. Let m = 113 - w. What is the greatest common factor of 13 and m?", "a": "13" }, { "q": "Let o be (-10)/((-110)/121) + -10. What is the highest common divisor of 81 and o?", "a": "1" }, { "q": "Let h = 1307 - 1087. Suppose -3*s - a + 160 = 0, s = -4*a + 3*a + 50. What is the highest common factor of h and s?", "a": "55" }, { "q": "Let r be (-9 - 0) + 7 - -27. Calculate the greatest common factor of 1125 and r.", "a": "25" }, { "q": "Let o be 8/(-28) - (-60)/14. Suppose 17*s - 741 = o*s. What is the greatest common divisor of 570 and s?", "a": "57" }, { "q": "Let k be ((-238)/102*18/5)/((-4)/90). What is the highest common divisor of k and 28?", "a": "7" }, { "q": "Suppose 4*t - 2*l - 30410 = 0, 3*t + 2*l = 3599 + 19198. What is the greatest common divisor of 11 and t?", "a": "11" }, { "q": "Let q be (-2)/(-6) + 48/(-9) - 40388/(-46). Calculate the greatest common divisor of q and 27.", "a": "9" }, { "q": "Suppose 3 = z, -5*z + 238 - 113 = 2*x. What is the highest common divisor of 2915 and x?", "a": "55" }, { "q": "Let g be ((-82)/(-4) + 4)*2. Let y(m) = -3*m**2 + 4 + 5 - 2 - m + 4*m**2. Let a be y(0). Calculate the highest common divisor of a and g.", "a": "7" }, { "q": "Let y(p) = -2*p - 7. Suppose -3*s - 13 + 1 = 0, 4*m = -4*s - 48. Let i be y(m). Suppose -b + 79 = -i. Calculate the highest common factor of b and 8.", "a": "8" }, { "q": "Let j(z) = -58*z + 186. Let x be j(-18). What is the highest common divisor of x and 30?", "a": "30" }, { "q": "Suppose -245 - 55 = -2*w + 4*j, 0 = 4*w + 5*j - 613. Calculate the greatest common factor of w and 1406.", "a": "38" }, { "q": "Let n = 162 + -139. Let i be (n/2)/(40/80). Calculate the highest common factor of i and 207.", "a": "23" }, { "q": "Suppose 0 = -2*q - d - 4*d + 59, -4*q + 129 = -d. Let l = 646 - 518. What is the greatest common factor of l and q?", "a": "32" }, { "q": "Let p(z) = 0*z**2 - 1 + 2*z**2 - 3*z**2. Let b(c) = -18*c**2 + c + 2. Let u(f) = -b(f) - 4*p(f). Let x be u(2). Calculate the highest common divisor of 8 and x.", "a": "8" }, { "q": "Let z(i) = 8 - 8 - 5 - i. Let h be z(0). Let c = h + 22. Calculate the greatest common factor of 17 and c.", "a": "17" }, { "q": "Let z be (3*-1)/(15/(-10)). Let r be 16/((z - -1)/3). Let y = -335 + 447. What is the highest common factor of r and y?", "a": "16" }, { "q": "Let t = 8 - 3. Suppose 0 = 2*u + 5*a - 9, -t*u + a + 9 = -0*a. Suppose 0*j - u*j + 32 = 0. What is the highest common divisor of 4 and j?", "a": "4" }, { "q": "Let z(x) = -4*x + 31. Let d be z(7). Let c be 0*((-10)/(-4) - d). Let g be 1/(-2)*(c - (-3 - -5)). What is the greatest common factor of g and 5?", "a": "1" }, { "q": "Suppose p = -3, -9*z - 4*p - 390 = -12*z. What is the highest common factor of z and 588?", "a": "42" }, { "q": "Suppose 43*q - 2302 = -109. Suppose 5*y + 5*d - 415 = 0, -5*d + 155 + 5 = 2*y. What is the greatest common factor of q and y?", "a": "17" }, { "q": "Suppose -5*l = -1097 + 362. Suppose 2*t - 6*t = -28. Calculate the highest common divisor of t and l.", "a": "7" }, { "q": "Suppose 2576*d + 4159 = 2580*d - 53. Calculate the greatest common factor of d and 26.", "a": "13" }, { "q": "Let h(s) = 30*s**2 - 508*s + 12. Let n be h(17). Let d(w) = -13*w - 15. Let t be d(-10). What is the highest common factor of t and n?", "a": "23" }, { "q": "Suppose -2504 = 365*i - 3035 - 6039. Suppose -f - 25 = -x, -f + 123 = 5*x - 4*f. What is the highest common divisor of i and x?", "a": "6" }, { "q": "Suppose 4*j = a + 37, -7*j + 2*a = -2*j - 47. Let q be j - (-1)/(3/(-6)*1). Calculate the highest common factor of q and 14.", "a": "7" }, { "q": "Let l(t) = -t - 1. Let j(y) = y**2 + 12*y - 25. Let d(a) = j(a) + l(a). Let o be d(-16). Suppose o = z + 5*z. Calculate the highest common divisor of z and 9.", "a": "9" }, { "q": "Let t be -8*3*(-535)/(-60). Let k be 68/306 - t/9. Calculate the greatest common divisor of 18 and k.", "a": "6" }, { "q": "Suppose 0*c = 14*c + c - 4200. Calculate the greatest common divisor of c and 70.", "a": "70" }, { "q": "Suppose 5173 = 29*d + 584 - 8316. Calculate the highest common factor of 712 and d.", "a": "89" }, { "q": "Suppose -2*d + 18*d = 7328. Suppose 15 = -5*i, -4*i - d = -4*n - 138. What is the highest common divisor of n and 14?", "a": "7" }, { "q": "Suppose 9 + 31 = 5*o. Let i be 1734/8 + 2/o. Let m(y) = -y**3 - 28*y**2 - 15*y - 389. Let b be m(-28). Calculate the highest common divisor of i and b.", "a": "31" }, { "q": "Suppose -3*o + 495 = 3*q + 180, -4*q = 20. Let j be (-8938)/(-410) - (-2)/10. Calculate the greatest common factor of o and j.", "a": "22" }, { "q": "Let i = -1229 + 1245. Suppose -3*u - 2*u - 720 = 0. Let h be (1 + -11)*u/30. What is the greatest common factor of i and h?", "a": "16" }, { "q": "Let b(j) be the first derivative of 2*j**3/3 - 16*j**2 + 19*j + 20. Let o be b(18). What is the greatest common factor of o and 7?", "a": "7" }, { "q": "Let n(g) = -4*g - 57. Let f be n(10). Let k = 383 + f. What is the greatest common factor of 26 and k?", "a": "26" }, { "q": "Let h(r) = -2*r**3 + 34*r**2 - 33*r + 20. Let u be h(16). Suppose 5*b + 7*z = u*z + 27, b + 4*z = 2. Calculate the highest common factor of b and 54.", "a": "6" }, { "q": "Suppose -28*b + 11763 + 4897 = 0. Calculate the highest common factor of 136 and b.", "a": "17" }, { "q": "Let b(t) = 3*t**2 - 14*t - 10. Let r be b(-5). Let l = 155 - r. Calculate the highest common divisor of 8 and l.", "a": "4" }, { "q": "Suppose -2*j + 7*j + 2*q - 321 = 0, 2*j = 2*q + 134. Let v = j - 33. Let y be 4/(v/(-12))*64/(-12). Calculate the highest common divisor of 24 and y.", "a": "8" }, { "q": "Let j = -22 + 98. Suppose -j + 20 = -q. Calculate the highest common divisor of q and 168.", "a": "56" }, { "q": "Let a be -6*((-250)/15 + 0). Let q = 307 - a. Calculate the greatest common divisor of 9 and q.", "a": "9" }, { "q": "Suppose 4955 = -30*k + 35*k. Let i = k - 683. Calculate the highest common factor of 44 and i.", "a": "44" }, { "q": "Let y(h) = -h + 315. Let g = 21 + -66. Let a = g - -45. Let c be y(a). What is the highest common divisor of 35 and c?", "a": "35" }, { "q": "Suppose w + 5 = 0, -27*w + 26*w + 190 = u. Calculate the greatest common factor of 165 and u.", "a": "15" }, { "q": "Let d = 12078 - 8308. What is the greatest common divisor of 20 and d?", "a": "10" }, { "q": "Let g be ((-5)/(-10))/(5/130) + 3. Let w(i) = i + 3. Let b be w(-8). Let j = b + g. What is the greatest common divisor of 77 and j?", "a": "11" }, { "q": "Let y be (19 + -17)/((-1)/2) - -10. Let s be 2/7 + (-401)/7. Let l be -3 - s*(-1 - -2). What is the greatest common divisor of y and l?", "a": "6" }, { "q": "Let r be 350/(-21)*(36/(-10))/1. Let b = 11 - 7. Suppose b*j - 64 = 96. Calculate the highest common divisor of r and j.", "a": "20" }, { "q": "Suppose l = -0*l - 3*s + 2, 5*l = s + 10. Let q = -205 - -219. Let o be q - 2*((-28)/(-8) - l). What is the highest common factor of 99 and o?", "a": "11" }, { "q": "Let u be (-10)/(710/72 + -10). Calculate the greatest common divisor of u and 8136.", "a": "72" }, { "q": "Let r = -104 - -242. Suppose -r = 10*d - 16*d. Calculate the highest common factor of 23 and d.", "a": "23" }, { "q": "Let s be (-2 - (-10)/4)*162. Let l(h) = h**3 + 48*h**2 + 46*h - 29. Let i be l(-47). Calculate the greatest common factor of s and i.", "a": "9" }, { "q": "Let s be -4*412/(-7) + (-92)/(-161). Let x = s - 224. What is the greatest common factor of 12 and x?", "a": "12" }, { "q": "Let q = -3172 - -3190. Calculate the highest common factor of q and 1746.", "a": "18" }, { "q": "Let w(o) be the third derivative of -107*o**4/24 + o**3/6 + 2*o**2. Let q = -286 - -282. Let h be w(q). Calculate the highest common factor of h and 39.", "a": "39" }, { "q": "Suppose -3*q - 4 - 100 = 2*t, 4*q = -16. Let n = 52 + t. Let u be (n/(-2) - -5) + 4. What is the highest common factor of u and 4?", "a": "2" }, { "q": "Suppose 3*t - 5*t - 414 = 0. Let i be ((-28)/(-16))/7 + t/(-4). What is the highest common factor of 260 and i?", "a": "52" }, { "q": "Let q(w) = -w**2 + 6*w + 26. Let d be q(8). Suppose -3094 = -24*o + d*o. What is the greatest common divisor of 17 and o?", "a": "17" }, { "q": "Let j(n) = -5*n - 49. Let q be j(-9). Let k be ((-75)/(-5))/((-6)/q). Calculate the highest common divisor of 40 and k.", "a": "10" }, { "q": "Suppose 56 = 3*z + u, -5*u = -2*z + 25 + 35. Suppose -34 - 116 = -3*b. Calculate the highest common divisor of b and z.", "a": "10" }, { "q": "Let y = -216 - -218. Suppose 0 = -y*v + 18. Calculate the greatest common divisor of 81 and v.", "a": "9" }, { "q": "Suppose -643*o + 656 = -659*o. Let p = 37 + -21. Let z = p - o. Calculate the highest common divisor of z and 38.", "a": "19" }, { "q": "Let g = -327 - -461. Calculate the greatest common divisor of 6566 and g.", "a": "134" }, { "q": "Suppose -4*u + 7*u - 21 = 0. Let n = 0 + u. Suppose l + 3 = k - 0, 2*k - n = l. Calculate the highest common divisor of 10 and k.", "a": "2" }, { "q": "Let x = 221 - 226. Let l be (-88)/x - (90/25 - 4). Calculate the greatest common divisor of l and 54.", "a": "18" }, { "q": "Let v = 6 - 4. Suppose v*b - 38 - 218 = 0. Let u = -11106 + 11138. What is the highest common divisor of u and b?", "a": "32" }, { "q": "Let m(g) = 6*g - 146. Let t = -178 - -205. Let n be m(t). Calculate the greatest common divisor of 2 and n.", "a": "2" }, { "q": "Suppose -3*m - 28 = -3*j + 4*j, 4 = -4*m. Let s = j + 356. Let a = s + -198. Calculate the greatest common factor of 19 and a.", "a": "19" }, { "q": "Let q = 197 - -1084. What is the highest common factor of q and 122?", "a": "61" }, { "q": "Suppose -1 + 16 = 5*x. Let i(t) = -t**2 + 9*t - 6. Let r be i(x). Let c be 16/2 + 1 + -3. What is the highest common divisor of c and r?", "a": "6" }, { "q": "Let s(w) = -w**3 + 2*w**2 + 3*w + 2. Let o be s(3). Suppose o*t = -6*t + 312. What is the highest common factor of t and 65?", "a": "13" }, { "q": "Let y be (-2)/((-11244)/11236 + (1 - 0)). Suppose 2*g + 3*o - 654 = 474, -y = -5*g - 2*o. Calculate the highest common divisor of 51 and g.", "a": "51" }, { "q": "Suppose -1873*g + 621 = -1850*g. Suppose -5*r + 5 + 40 = 0. What is the greatest common factor of r and g?", "a": "9" }, { "q": "Suppose 0 = b + 3*v - 5, 11 = 5*b - 3*v + 4. Let m = -14 + 28. Suppose -j = -2*j + m. Calculate the greatest common factor of b and j.", "a": "2" }, { "q": "Let d(s) = 18*s**2 + 48*s + 280. Let p be d(-7). What is the highest common divisor of p and 14?", "a": "14" }, { "q": "Suppose 731 = 4*k - 2*d + 159, 8*d + 737 = 5*k. Calculate the greatest common factor of 27 and k.", "a": "3" }, { "q": "Let y(l) = 24*l**2 + 7*l + 8. Let f be y(-3). Let c = f + -93. Calculate the highest common factor of 22 and c.", "a": "22" }, { "q": "Let j(h) = 3*h**2 + h + 43. Let t be j(0). Let l = t - -14. Calculate the highest common divisor of l and 171.", "a": "57" }, { "q": "Let s = -3330 + 5574. What is the highest common factor of 396 and s?", "a": "132" }, { "q": "Suppose 0 = 5*t + 4*d - 900, 4*t + 523 = 7*t - d. Let l = 182 - t. What is the highest common divisor of 45 and l?", "a": "3" }, { "q": "Suppose -3*g = 4*u - 185, -3*g + 3*u = -5 - 145. Let l = -26 + g. Suppose 0 = -1093*k + 1085*k + 1856. What is the highest common divisor of l and k?", "a": "29" }, { "q": "Let a(t) = t**2 + 17*t + 34. Suppose -5*o + 41 = 116. Let z be a(o). Let p be (2/z)/(6/36) - -30. Calculate the greatest common factor of p and 3.", "a": "3" }, { "q": "Let u = -160 + 155. Let a be (u - -11)*1 + 32. Calculate the highest common factor of a and 266.", "a": "38" }, { "q": "Suppose -10*k = -11*k + 5*m + 30, -5*k - 5*m + 240 = 0. Calculate the greatest common divisor of 645 and k.", "a": "15" }, { "q": "Suppose 0 = -4*j + j + 3. Let p be 9/36 + j/(-4). Let i be 4/(-1*p/1 + 2). Calculate the highest common divisor of 14 and i.", "a": "2" }, { "q": "Suppose 2*z - 414 = -7*z. Let t(v) = v**3 - 5*v**2 + v + 4. Let r be t(5). Suppose -r*w = -44 - z. What is the highest common factor of 4 and w?", "a": "2" }, { "q": "Let m be ((-15)/(-12))/(5/900). Suppose -13*i = -165 - m. Calculate the greatest common factor of i and 45.", "a": "15" }, { "q": "Let z(m) = 217*m - 1187. Let b be z(6). What is the greatest common factor of 115 and b?", "a": "115" }, { "q": "Let r = 187 + -186. Let q be (23 - -1)*(-3)/(-6*r). What is the greatest common divisor of 96 and q?", "a": "12" }, { "q": "Suppose 425 = 3*a + 2*w, 4*a + 52*w = 55*w + 578. Calculate the highest common divisor of 637 and a.", "a": "13" }, { "q": "Suppose -2*i + t - 2*t + 57 = 0, i - 33 = -2*t. Calculate the greatest common divisor of 252 and i.", "a": "9" }, { "q": "Let v = 3662 - 3660. Suppose 3*r + 2*r - 5*u = 30, -4*r = 2*u. Suppose -3*b - r*k + 1664 = b, -4*k + 820 = v*b. What is the greatest common divisor of b and 38?", "a": "38" }, { "q": "Suppose 4*m + n + 321 = 0, 0*m - 2*m = -n + 165. Let r = 82 + 44. Let y = r - m. What is the greatest common divisor of y and 23?", "a": "23" }, { "q": "Let f = -4711 + 4804. Calculate the greatest common divisor of 1736 and f.", "a": "31" }, { "q": "Let f = 11 - -1. Let z(m) = -m + 9. Let k be z(6). Let t be 6 + -4 + (k - 2). Calculate the highest common factor of t and f.", "a": "3" }, { "q": "Suppose -43452 = -39*x - 19*x + 46*x. Calculate the highest common factor of x and 142.", "a": "71" }, { "q": "Let o be 11 + 1197 + -5 + -7. What is the greatest common factor of 156 and o?", "a": "52" }, { "q": "Suppose 0 = 2*j, -3*j + 6*j = 4*h - 108. What is the greatest common divisor of 4023 and h?", "a": "27" }, { "q": "Suppose -15*c = -2296 - 29. Let r(v) = -v**2 + 10*v + 3. Let f be r(10). Let a be 1 + 192/f - 3. What is the highest common factor of c and a?", "a": "31" }, { "q": "Suppose -159 - 44 + 23 = -18*v. What is the highest common factor of v and 125?", "a": "5" }, { "q": "Let v = -98 - -102. Suppose 3400 = v*c + 16*c. What is the highest common divisor of c and 10?", "a": "10" }, { "q": "Suppose 11*i - 7*i = 2*r + 14, r - 7 = -5*i. Let a(y) = 16*y - 19. Let s be a(i). What is the highest common factor of 65 and s?", "a": "13" }, { "q": "Suppose 3*x + 4*j - 88 = 0, 0 = 3*x - 2*x + j - 29. Suppose -25 = -5*l + 45. Calculate the highest common divisor of l and x.", "a": "14" }, { "q": "Let h(q) = -3*q - 21*q**2 - 10 + 24*q**2 + q - q**2 + 0*q. Suppose a = -5, k = a + a + 4. Let n be h(k). What is the greatest common factor of n and 111?", "a": "37" }, { "q": "Let y(w) = 21*w + 592. Let z be y(-28). Calculate the greatest common divisor of z and 1504.", "a": "4" }, { "q": "Let x = 80 - 50. Suppose 0 = -d + 4*y, -58*y = -4*d - 57*y + 45. Calculate the greatest common divisor of d and x.", "a": "6" }, { "q": "Suppose 0 = 5*x - g - 1603, 0 = 8*x - 3*x - 5*g - 1615. What is the greatest common divisor of 400 and x?", "a": "80" }, { "q": "Let h be 315/49 + -6 + (-8223)/(-21). What is the highest common factor of 168 and h?", "a": "56" }, { "q": "Let d(f) = -f**2 - 45*f + 887. Let s be d(14). Suppose -2*p - 1948 = -6*p - b, -500 = -p + 3*b. Calculate the highest common factor of s and p.", "a": "61" }, { "q": "Suppose -3*d = -5*a - 270, 33 = 3*a + 5*d + 161. Let y = a - -105. What is the greatest common factor of 486 and y?", "a": "54" }, { "q": "Let n be 24/13 + 14/91. Suppose -4*l + x + 308 = 0, -232 = -3*l + n*x - x. Let a = 49 + l. Calculate the highest common divisor of 50 and a.", "a": "25" }, { "q": "Let n(f) = 12 - 99*f - 1 + 93*f. Let d be n(-9). Let w be 4/(-2) + (-15)/(-1). Calculate the greatest common factor of w and d.", "a": "13" }, { "q": "Let l(y) = 6*y**2 - 31*y - 295. Let k be l(-13). What is the highest common factor of k and 306?", "a": "102" }, { "q": "Let o(l) = 3*l + 96. Let r be o(-31). Suppose 0 = r*s + h + 22 - 72, 3*h - 54 = -3*s. Calculate the highest common divisor of 8 and s.", "a": "8" }, { "q": "Let m be -12*(9/(-6) + 0). Suppose -77*k - m = -79*k. What is the greatest common factor of 288 and k?", "a": "9" }, { "q": "Suppose -5*a = t - 999, 56*t - 59*t + 3*a + 2979 = 0. Calculate the highest common divisor of t and 710.", "a": "142" }, { "q": "Let x = -3404 - -3764. Calculate the greatest common divisor of x and 225.", "a": "45" }, { "q": "Let j = 1693 + -1645. Calculate the greatest common divisor of j and 90.", "a": "6" }, { "q": "Let w be 133/3 - ((-44)/12 - -5). Let i = w + -28. What is the highest common factor of 345 and i?", "a": "15" }, { "q": "Suppose 456 = 5*c + u, -100 = -3*c + 2*u + 184. What is the highest common factor of 713 and c?", "a": "23" }, { "q": "Let b be 8/(8/(-5)) - -7. Suppose 3*p + 5*t - 75 = -0*p, 0 = -b*p + 3*t + 50. Calculate the greatest common factor of 175 and p.", "a": "25" }, { "q": "Suppose -11*q + 1809 = 24*q + 199. What is the highest common divisor of 759 and q?", "a": "23" }, { "q": "Suppose -78 - 55 = -n + 5*y, -3*n + 3*y = -411. What is the highest common divisor of n and 92?", "a": "46" }, { "q": "Let j be (-5)/(-10)*(7 - 1). Suppose j*f - 6*f + 18 = 0. Suppose 0 = -3*x - 5*w + 74 - 41, -2*x = -2*w + 10. What is the highest common divisor of f and x?", "a": "1" }, { "q": "Let f(m) = 27*m + 18. Suppose -5*h + 8 = -h. Let g be f(h). Let d be 5/(5/2) - -6. What is the greatest common divisor of g and d?", "a": "8" }, { "q": "Let x be ((-58)/(-4) + (-1)/(-2))*1. Suppose 3*n + z = -z + x, -3*z = -n + 16. Calculate the highest common factor of n and 49.", "a": "7" }, { "q": "Let u(h) = 4*h + 12. Suppose 3*k - 12 = 2*l - 3*l, -2*l + 12 = 3*k. Let r be u(l). Suppose o - 168 = -o. Calculate the greatest common factor of o and r.", "a": "12" }, { "q": "Let j = 59 + 0. Let v = j - 45. What is the greatest common factor of 49 and v?", "a": "7" }, { "q": "Suppose -v = -14 + 14. Suppose 9*b - 1654 - 794 = v. Let s be (b/4)/4 + -2. What is the highest common factor of s and 135?", "a": "15" }, { "q": "Let b(r) = r - 5. Let u be b(-9). Let w = 26 + u. Suppose 0 = -6*s + 7*s - w. What is the highest common factor of 60 and s?", "a": "12" }, { "q": "Suppose -3*o - w = -520, -4*o - 95*w + 675 = -90*w. Let n = 2 + -3. Let t be 6*2*3 + n. What is the greatest common divisor of t and o?", "a": "35" }, { "q": "Let b be (-5 - -18)*((24 - 0) + 0/3). What is the highest common factor of b and 897?", "a": "39" }, { "q": "Let z be (-14)/3*6/(-4). Let b be 17/(-2) + (-6)/12. Let v = b + 10. What is the highest common factor of v and z?", "a": "1" }, { "q": "Suppose i = -t + 29 + 38, 4*t + 2*i - 278 = 0. Suppose 148*s - 71*s = 616. What is the greatest common divisor of t and s?", "a": "8" }, { "q": "Let u be ((-2)/2 + 0)*-15. Let w = -148 - -198. What is the greatest common factor of u and w?", "a": "5" }, { "q": "Let n be (-9)/9 + (-8)/(-2). Suppose -150 = -c + 2*a, -n*a + 7*a = -5*c + 680. Let p be (4/(-12))/((-1)/42). Calculate the greatest common divisor of c and p.", "a": "14" }, { "q": "Let y(d) = 8*d + 1183. Let f be y(-131). Let i(t) = -t**2 + t + 54. Let j be i(0). What is the highest common factor of j and f?", "a": "27" }, { "q": "Let c(m) = -5*m + 3*m - m + 53. Let s be c(14). Calculate the greatest common divisor of 121 and s.", "a": "11" }, { "q": "Suppose 12*w - 8785 = -1841 + 2692. What is the highest common divisor of 121 and w?", "a": "11" }, { "q": "Suppose 0 = 5*n - 29 - 111. Let u be n/(-154) - 442/(-11). Let l = -12 + 20. What is the greatest common divisor of l and u?", "a": "8" }, { "q": "Let a(o) = -7*o + 43. Let m be a(6). Let w(z) = 41*z**2 + 6*z - 5. Let t be w(m). What is the greatest common divisor of 3 and t?", "a": "3" }, { "q": "Let f be 46/2 + 2 + -2. Suppose -4*x - f = 1. Let b be 1 + 21 + (x - 16/(-4)). Calculate the greatest common factor of b and 10.", "a": "10" }, { "q": "Suppose b + 6*l - 7 = l, -5*b = -3*l - 7. Suppose 0 = -5*x + 3*d + b*d + 1440, 286 = x - 2*d. Let r = x - 170. What is the greatest common divisor of 48 and r?", "a": "24" }, { "q": "Let j be (115/(-12) + (-45)/60)*-90. Calculate the greatest common factor of j and 12.", "a": "6" }, { "q": "Suppose -10*j + 52 = -27 - 21. What is the greatest common divisor of j and 685?", "a": "5" }, { "q": "Let n(b) = b**2 - 9*b + 13. Let l be n(8). Suppose 0 = -l*j + 502 - 362. Calculate the highest common divisor of 70 and j.", "a": "14" }, { "q": "Let k be (-1454)/(-8) + 3/72*6. Suppose 0 = 5*p + 8*p - k. Calculate the highest common factor of p and 448.", "a": "14" }, { "q": "Let b be ((-544)/(-10))/(294/(-75) - (6 + -10)). What is the greatest common factor of 85 and b?", "a": "85" }, { "q": "Let l(q) = q**2 + 35*q - 128. Let i be l(4). Let p be ((-10)/5)/(2/16*-2). Calculate the highest common factor of p and i.", "a": "4" }, { "q": "Let a(o) = 6*o**2 + 35*o + 98. Let g be a(-6). What is the highest common factor of g and 338?", "a": "26" }, { "q": "Suppose 6*s - 584 = -279 + 325. What is the greatest common divisor of 1120 and s?", "a": "35" }, { "q": "Let h be 3 + (1*-2 - -4). Let z(y) = -15*y - 73. Let t be z(-5). Suppose 5*b = 2*o - 10, -10 = -t*o - 0*b - 3*b. What is the highest common divisor of h and o?", "a": "5" }, { "q": "Suppose -7 + 55 = -4*y. Let a be 4/(-16) + (-531)/y. Let d(g) = -3*g + 2. Let t be d(-3). Calculate the highest common factor of t and a.", "a": "11" }, { "q": "Let v(j) = j**3 + 2*j. Let r be v(2). Let q(k) = 3*k - 34. Let f be q(-8). Let s be -1*4/(-10) + f/(-5). Calculate the highest common divisor of r and s.", "a": "12" }, { "q": "Suppose -5*q + 5*y + 32 = -43, q = -2*y. Let z = 121 + -91. Let j = 10 + z. What is the highest common divisor of q and j?", "a": "10" }, { "q": "Suppose g = 5*a - 9007, -150*g = 5*a - 147*g - 9019. Calculate the greatest common factor of a and 318.", "a": "106" }, { "q": "Suppose 2*k + 2 = 0, -4*k + 0*k = -5*u + 2594. What is the greatest common divisor of 222 and u?", "a": "74" }, { "q": "Let z(h) = 5*h - 96. Let t be z(21). Suppose -t*n + 613 = 172. Calculate the greatest common factor of 7 and n.", "a": "7" }, { "q": "Let v = 29 + -15. Suppose 5*w + 6 + v = 0. Let a be -21*w/6 - 4. What is the highest common factor of 4 and a?", "a": "2" }, { "q": "Let m be (18/4)/((-7)/(-14)) - -1. Let q(x) = -5*x + 68. Let k be q(m). Calculate the highest common divisor of k and 54.", "a": "18" }, { "q": "Let d(v) = 12*v - 76. Let z be d(10). Calculate the highest common divisor of 3982 and z.", "a": "22" }, { "q": "Suppose -5*t = 5*j - 700, -268 = -22*j + 20*j + 4*t. Suppose -2*v - i + 139 = 0, i - 3*i + j = 2*v. Calculate the highest common divisor of v and 10.", "a": "10" }, { "q": "Let c = 134 + -131. Let i be 386/8 + 0 + 4/(-16). Calculate the highest common divisor of c and i.", "a": "3" }, { "q": "Suppose 0 = -48*t + 45*t + 165. Let v = 90 - 79. Calculate the greatest common divisor of v and t.", "a": "11" }, { "q": "Let g = -3783 + 3839. Suppose -4*t + 167 = -113. What is the greatest common divisor of g and t?", "a": "14" }, { "q": "Let m = -268 - -409. Let a = -85 + m. Suppose -3*k - 7 = -n, -n + 6 = -4*k - 1. Calculate the greatest common factor of a and n.", "a": "7" }, { "q": "Let i be 330304/1376 - (-12)/(-258). What is the highest common divisor of i and 90?", "a": "30" }, { "q": "Let p(m) = 2*m**2. Let k(g) = -5*g**2 - 24*g - 35. Let x(u) = -k(u) - 3*p(u). Let i be x(25). Calculate the greatest common factor of 70 and i.", "a": "10" }, { "q": "Let j(s) = -189*s - 12. Let z be j(-2). Calculate the highest common divisor of 42 and z.", "a": "6" }, { "q": "Let d be 5164/16 + 4/16 + 0 + -1. What is the highest common divisor of 140 and d?", "a": "14" }, { "q": "Suppose -l = -4*o - 400, -22*o = -23*o - 3. What is the greatest common divisor of 16 and l?", "a": "4" }, { "q": "Suppose -2*v = 41*s - 45*s - 346, 4*s = -4*v + 644. Calculate the highest common divisor of 715 and v.", "a": "55" }, { "q": "Let a be 288/30*120/(-18). Let u = a + 183. What is the greatest common divisor of 34 and u?", "a": "17" }, { "q": "Let g(z) = 23*z**3 - 2*z**2 - 4*z + 7. Let n be g(2). Let q be 1 + 2/(-7) + 39075/n. What is the highest common divisor of 64 and q?", "a": "32" }, { "q": "Suppose -185*z + 198*z - 186 = -30. Calculate the greatest common factor of z and 2388.", "a": "12" }, { "q": "Let j(i) be the first derivative of i**2/2 + 4*i + 17. Let f be j(-12). Let h be (-8560)/(-75) + f/60. What is the greatest common factor of 19 and h?", "a": "19" }, { "q": "Let t(x) = x + 12. Let p be t(4). Suppose -18*l + 472 - 112 = 0. Calculate the greatest common divisor of l and p.", "a": "4" }, { "q": "Let t be 8/6 + (-2)/(-3). Let r = -399 - -403. Suppose 8*w - 42 = -u + 3*w, t*u - r*w = 56. What is the highest common factor of 8 and u?", "a": "8" }, { "q": "Let l(z) = z**3 + 15*z**2 - 17*z + 68. Let i be l(-16). Calculate the greatest common divisor of 204 and i.", "a": "12" }, { "q": "Suppose 99 - 624 = -5*o. Suppose 2505 = 106*y - 1947. What is the highest common divisor of y and o?", "a": "21" }, { "q": "Suppose 137968 = 98*m - 16*m + 12262. What is the highest common factor of 146 and m?", "a": "73" }, { "q": "Let j = 98 + -163. Let p = j - -81. What is the greatest common divisor of 320 and p?", "a": "16" }, { "q": "Let p be (-6604)/(-299) - 4/46. Let v(z) = 2*z**2 - 6*z + 3. Let a be v(4). Calculate the highest common divisor of p and a.", "a": "11" }, { "q": "Suppose 0*k + 72 = k. Suppose -89*d - 432 = -95*d. Let b be d*((-7)/(-35))/(3/10). What is the highest common factor of b and k?", "a": "24" }, { "q": "Let y(j) = 4*j**2 + 52*j - 78. Let u be y(-15). Calculate the greatest common factor of 861 and u.", "a": "21" }, { "q": "Let k(h) = -19*h**2 - 4*h + 11. Let y(d) = 75*d**2 + 15*d - 42. Let v(a) = 15*k(a) + 4*y(a). Let b be v(-3). Calculate the greatest common factor of 12 and b.", "a": "12" }, { "q": "Suppose 2*i = 5*u - 84, 6 = i + i. Let y(z) = -z**2 + 21*z - 44. Let f be y(u). Calculate the highest common factor of f and 130.", "a": "10" }, { "q": "Let h = 2 - -8. Let s(t) = 76*t + 4. Let x(p) = 152*p + 8. Let g(y) = -5*s(y) + 3*x(y). Let c be g(1). Calculate the highest common factor of h and c.", "a": "10" }, { "q": "Let b(m) = -23*m - 61. Let d be b(-6). Suppose 8*s - 243 = d. Calculate the greatest common factor of s and 8.", "a": "8" }, { "q": "Let d(t) = -56*t - 1390. Let s be d(-29). Calculate the greatest common divisor of 324 and s.", "a": "18" }, { "q": "Suppose -76 - 694 = -5*a. Let w be 2*(12/(-8) - -4). Let l be (-87)/(-4) - w/(-20). Calculate the highest common factor of a and l.", "a": "22" }, { "q": "Suppose 139*r = 149*r - 59280. What is the highest common factor of 13 and r?", "a": "13" }, { "q": "Let p be (102/42 + 1)*42. Let f(x) = 24*x - 6. Let o be f(4). Suppose -q - o = -6*q. Calculate the highest common divisor of p and q.", "a": "18" }, { "q": "Let n(s) = -s**3 + 21*s**2 - 44*s - 9. Let q be n(5). What is the highest common factor of q and 152?", "a": "19" }, { "q": "Let k = 12 - -30. Suppose -11*l + 9*l - o + 33 = 0, -3*l + k = 3*o. What is the highest common factor of 57 and l?", "a": "19" }, { "q": "Let t = -84 + 90. Let q be (5 + -4)*(13 + 0). Let g = q + 2. What is the highest common factor of t and g?", "a": "3" }, { "q": "Suppose 0 = -11*i + 77 + 550. Let v = 20 + -11. Let t = v + i. What is the highest common factor of 165 and t?", "a": "33" }, { "q": "Let s = 5363 + -2482. What is the greatest common divisor of 43 and s?", "a": "43" }, { "q": "Suppose -5*x + 3*r + 57 = 0, -2*x = -7*r + 3*r - 20. Let u(l) = 7*l**2 - 5*l + 4. Let a be u(-5). What is the greatest common factor of a and x?", "a": "12" }, { "q": "Let i be 2714/18 - ((-520)/72 - -7). Let q = i + -143. What is the highest common factor of q and 8?", "a": "8" }, { "q": "Suppose -2*x = 4*k - 38, k - 4*k + 2*x = -32. Suppose -3*y + 4*d + 2 = -8*y, -d = -2*y - 6. Let o = k - y. What is the highest common factor of o and 12?", "a": "12" }, { "q": "Suppose -3*m + 84 = -18*d + 16*d, m - d = 27. Let f(o) = 15*o**2 - o - 1. Let a be f(-1). What is the highest common factor of m and a?", "a": "15" }, { "q": "Let x be (-2 - -4)*-6*(-3)/(-3). Let i be (42/(-15))/(x/90). What is the highest common divisor of i and 7?", "a": "7" }, { "q": "Suppose -39*h = -31*h + 528. Let m be h/(-7)*217/62. Let k(j) = 4*j**2 + 8*j + 6. Let a be k(-5). Calculate the greatest common divisor of a and m.", "a": "33" }, { "q": "Let f be 12/(-40)*2 - 9/15*-41. Suppose 4*h - 36 = -4*d, 3*h + 4*d = h + 20. Calculate the highest common factor of h and f.", "a": "8" }, { "q": "Let m = 227 + -201. Suppose 0 = 10*a - 64 - m. Calculate the greatest common divisor of 117 and a.", "a": "9" }, { "q": "Let q be (5 - 8)/((-6)/214). Let v = 137 - q. Calculate the highest common divisor of v and 30.", "a": "30" }, { "q": "Let t(v) = v**3 + 43*v**2 - 25*v - 35. Let i be t(-41). What is the highest common factor of i and 34?", "a": "34" }, { "q": "Let d be (1/(-3))/((-3)/36). Suppose -5*r = -d + 9. Let u be (-10 + 7)/(r*(-3)/(-20)). What is the highest common divisor of u and 60?", "a": "20" }, { "q": "Let d = -368 + 376. Calculate the highest common factor of 2704 and d.", "a": "8" }, { "q": "Let z = 181 - 175. Suppose -2*m - 4*l = z, -13 - 3 = -3*m - l. What is the highest common divisor of 7 and m?", "a": "7" }, { "q": "Let z(p) be the first derivative of p**3/3 - 6*p**2 - 17*p - 57. Let b be z(-5). Suppose 5*i - 67 = 18. What is the highest common divisor of b and i?", "a": "17" }, { "q": "Let x be -1*(-3 - -2 - (0 - 1)). Suppose x = 2*r - 47 - 17. Suppose -4*p = -16, 2*l - r = -2*l - 4*p. What is the highest common divisor of 4 and l?", "a": "4" }, { "q": "Let i(v) = -960*v + 2019. Let c be i(2). Suppose -s - 55 = -6*s. Calculate the greatest common factor of c and s.", "a": "11" }, { "q": "Suppose 76 = 5*p - 3*p. Suppose -227*w = -244*w - 255. Let q = p + w. What is the greatest common factor of q and 23?", "a": "23" }, { "q": "Let c = 132 + -119. Suppose 1160 = -9*h + c*h. What is the greatest common divisor of 10 and h?", "a": "10" }, { "q": "Let u be 834 - (-5 - (-12 + (-42)/(-7))). What is the greatest common factor of u and 14?", "a": "7" }, { "q": "Let x = 1981 + -1977. Let m(b) = -5*b - 1. Let y be m(-1). What is the greatest common divisor of y and x?", "a": "4" }, { "q": "Suppose 4*r = -3*l + 105, -7*l + 2*l + 175 = -r. What is the highest common divisor of 5 and l?", "a": "5" }, { "q": "Let u(m) = 17*m**2 + 1. Let h be u(1). Let v = 50651 - 50525. What is the highest common divisor of h and v?", "a": "18" }, { "q": "Let w = -954 + 960. Suppose 2*t = 6*t - 48. Let n be (10/w*1)/(t/72). What is the highest common divisor of n and 90?", "a": "10" }, { "q": "Suppose -2*r - 3694 = -5*x - 6*r, 5*x + 2*r = 3692. Calculate the highest common factor of x and 36.", "a": "18" }, { "q": "Suppose -30*q + 2*w - 252 = -35*q, 0 = 2*q - 5*w - 95. Suppose -5*y - 3*i + 625 = 0, 4*i - 99 = 5*y - 724. What is the highest common divisor of q and y?", "a": "25" }, { "q": "Suppose 99*w - 3724 + 619 = 90*w. What is the greatest common divisor of w and 805?", "a": "115" }, { "q": "Suppose -5*n + 4*k = -1329, 0 = 4*k - 0*k + 4. Let o = -217 + n. What is the greatest common divisor of 6 and o?", "a": "6" }, { "q": "Let v(k) = -8 - 2*k - k + k**2 - 10*k. Let g be v(16). Suppose 0 = 11*t - 7*t - g. What is the highest common factor of 30 and t?", "a": "10" }, { "q": "Let v be (3/3 + 0)*-1. Let u be (v/1)/1*-11. Let q(w) = -107*w - 30. Let r be q(-1). What is the highest common divisor of u and r?", "a": "11" }, { "q": "Let k = -5 + 11. Suppose -16 = 4*t, 0 = 4*o - 3*t + 4*t - 664. Suppose -2*g = -5*f - 89, -4*g - f = -0*f - o. What is the highest common factor of g and k?", "a": "6" }, { "q": "Let a be (-20)/(-16)*4 + (-602)/(-43). Suppose 2*z = 244 - 92. What is the highest common factor of z and a?", "a": "19" }, { "q": "Let z be (-1)/((-1)/(-2))*(-44)/8. Suppose -5*f - 4 = -2*a + 51, 3*f - z = -a. What is the greatest common divisor of 20 and a?", "a": "20" }, { "q": "Let y = 27 - -14. Suppose 3*m - 4 - y = 0. Suppose 0 = 10*l - 39 + 9. Calculate the greatest common divisor of l and m.", "a": "3" }, { "q": "Let h = -3632 + 3687. Calculate the highest common factor of h and 1.", "a": "1" }, { "q": "Let u(i) = -4*i**3 + 2*i**2 + 3*i + 2. Let z be u(-2). Let h = z + -26. Let x = 196 + -116. What is the highest common divisor of x and h?", "a": "10" }, { "q": "Let w be (-276)/8*20/(-15). Suppose 2*n + 19 = 3*p - 2*n, 2*p + 4*n - w = 0. What is the greatest common divisor of 104 and p?", "a": "13" }, { "q": "Let o = -117 - -261. Let f = 37 - 33. Calculate the highest common factor of o and f.", "a": "4" }, { "q": "Let r be 1/(10/4) + (-69)/(-15). Suppose r*u + 12*u - 442 = 0. What is the highest common factor of u and 6?", "a": "2" }, { "q": "Let g be (36/(-24))/(2/(-36)). Suppose -g*n + 24*n = 3. Let d be (-2)/4 - n/((-6)/(-165)). What is the greatest common factor of 3 and d?", "a": "3" }, { "q": "Let j = 224 - 176. Suppose 3*i = -8 - 1. Let a = 3 - i. Calculate the highest common divisor of j and a.", "a": "6" }, { "q": "Let y = 3655 - 3268. Calculate the greatest common factor of 817 and y.", "a": "43" }, { "q": "Let m = -161 + 163. Suppose m*y = 38 + 6. Let i(k) = k**3 - 7*k**2 + 3*k - 10. Let u be i(7). What is the greatest common divisor of u and y?", "a": "11" }, { "q": "Let i(f) = -2*f**2 - 26*f + 31. Let n be i(-14). Suppose -2*u + 493 = n*l, -3*u - 3*l = -340 - 395. What is the highest common factor of 22 and u?", "a": "22" }, { "q": "Let z = -12 + 19. Let u = 63 - z. Calculate the highest common factor of 84 and u.", "a": "28" }, { "q": "Let d = 621 - 596. Let b be -2 - -1*2 - -6. Suppose b*w - d = w. What is the highest common divisor of 5 and w?", "a": "5" }, { "q": "Suppose 2*p + s + 3 = 0, -7*p + 8*p = 2*s - 14. Let w be 6*p/(-28)*105. What is the highest common divisor of 54 and w?", "a": "18" }, { "q": "Let x be 13/4 + 2 + 2/(-8). Suppose 11 = w + x*q, -2*w = 4*q - 3*q - 40. Calculate the highest common divisor of 105 and w.", "a": "21" }, { "q": "Let t = 1494 + -1429. What is the highest common divisor of t and 65?", "a": "65" }, { "q": "Let o = 1264 - 1226. Calculate the greatest common factor of 80 and o.", "a": "2" }, { "q": "Let b be -3*-1*8/3. Suppose a = -7 + 17. Suppose 2*x = 2*s + 5*x - 13, a = -s + 4*x. Calculate the highest common divisor of s and b.", "a": "2" }, { "q": "Suppose -2*z + 6 = 0, 4*h - 2*z - 1378 + 104 = 0. What is the highest common factor of h and 40?", "a": "40" }, { "q": "Let z(x) = -x + 1. Let c(o) = 6*o - 60. Let n(l) = -c(l) - 3*z(l). Let w be n(15). Calculate the greatest common divisor of w and 192.", "a": "12" }, { "q": "Let u be (-254)/8 - (-18)/24. Let z = -11 - u. Let o = 204 - 154. Calculate the greatest common divisor of o and z.", "a": "10" }, { "q": "Let p be -16 + 6 - -6 - -38. Suppose 5*b = 3*f + 2210, 2*f - 885 - 441 = -3*b. Calculate the greatest common divisor of b and p.", "a": "34" }, { "q": "Let m(g) = g**3 + g + 1. Let i(r) = -r**3 - 2*r**2 + 5*r + 8. Let s(b) = i(b) - 4*m(b). Let k be s(-2). Calculate the highest common divisor of k and 51.", "a": "17" }, { "q": "Let n = -657 - -755. Calculate the highest common factor of n and 686.", "a": "98" }, { "q": "Let f(k) be the third derivative of -7*k**4/12 + 9*k**2. Let y be f(5). Let o = -36 - y. Calculate the highest common divisor of 51 and o.", "a": "17" }, { "q": "Let f(s) = -s**3 + 76*s**2 + 3*s - 132. Let p be f(76). Let q = -5 - -1. Let t be (6/q)/(1/(-8)). Calculate the greatest common divisor of p and t.", "a": "12" }, { "q": "Let d = -2001 - -2349. What is the highest common factor of 132 and d?", "a": "12" }, { "q": "Let u(z) = 2*z**2 + 53*z - 462. Let n be u(-34). Let f be (-8)/10*(-28 - 2). Calculate the greatest common factor of f and n.", "a": "24" }, { "q": "Suppose 3*a + 6*p = 3*p + 30, -5*a + 4*p + 23 = 0. Suppose -182*t + 1428 = -363*t + 187*t. What is the highest common divisor of t and a?", "a": "7" }, { "q": "Let u = -2723 + 3412. What is the greatest common factor of 265 and u?", "a": "53" }, { "q": "Let v(m) = -4*m + 23. Let t be v(5). Suppose b - 5*y - 25 = 0, 3*b - y = t*y + 97. Let k be (-4)/(-10) + 21/b. What is the greatest common divisor of 1 and k?", "a": "1" }, { "q": "Suppose -4*k + 119 = -5*w, -w = 2*k - 37 - 12. Let j = 1647 - 1645. Calculate the greatest common divisor of j and k.", "a": "2" }, { "q": "Let k be 4 - (1589/(-14) + 3) - 18/4. Suppose 0 = 3*t + 4*a - 120, -7*t + 161 = -3*t + 5*a. Calculate the greatest common factor of k and t.", "a": "22" }, { "q": "Let o = 5620 + -4475. Calculate the highest common factor of 10 and o.", "a": "5" }, { "q": "Suppose -2*t + 627 = 5*c, -c - 556 = -2*t + 53. Calculate the highest common divisor of t and 108.", "a": "18" }, { "q": "Let p be 330/40 + (-2)/8 - -4. Let w be (-9195)/(-20) + (2 - 33/p). Calculate the highest common divisor of 17 and w.", "a": "17" }, { "q": "Let q be -11*(0 - -1 - 2). Let t be q/2 - (-9)/(-18). Let s be ((-10)/3)/(((-30)/(-99))/(-5)). Calculate the highest common factor of s and t.", "a": "5" }, { "q": "Suppose q + 7*q = 24. Let k be (1 - 0)*(204 - q). Calculate the highest common factor of 134 and k.", "a": "67" }, { "q": "Let b be ((-142)/6 - -3)/(18/(-108)). Calculate the highest common divisor of b and 527.", "a": "31" }, { "q": "Suppose -681 = -z - 4*a + a, 4*z - 2682 = 2*a. Calculate the greatest common factor of 72 and z.", "a": "24" }, { "q": "Suppose i = -5*p - 63 + 150, -p - 2*i + 12 = 0. Calculate the greatest common divisor of p and 4122.", "a": "18" }, { "q": "Let k(b) = b**3 - 5*b**2 - 6*b + 6. Let z be k(6). Let v be z/(-14) - 1076/(-28). Let j = 52 - -5. What is the greatest common divisor of v and j?", "a": "19" }, { "q": "Let a(p) = -12 + 174*p**2 + 173*p**2 - 346*p**2 - 21*p. Let n be a(24). What is the greatest common divisor of 12 and n?", "a": "12" }, { "q": "Let y(k) = -24*k + 600. Let h be y(23). Let s be 60*-4*2/(-12). Calculate the highest common divisor of s and h.", "a": "8" }, { "q": "Suppose -n + 6*n - t = 29, 28 = 5*n - 2*t. Suppose 72 = 6*i - 102. Suppose -7 - i = -4*h. Calculate the greatest common divisor of h and n.", "a": "3" }, { "q": "Let r be 18*(-4644)/(-40) - (-33)/165. What is the highest common divisor of r and 20?", "a": "10" }, { "q": "Let u be (-6)/24 + (-63)/(-12). Suppose u*c - 60 = 2*c. Calculate the highest common divisor of 10 and c.", "a": "10" }, { "q": "Let l be 117/702 - 23026/(-12). Calculate the greatest common divisor of l and 38.", "a": "19" }, { "q": "Let d(i) = i - 5. Let f be d(6). Let q(h) = 24*h - 42. Let p be q(5). Let w = -69 + p. Calculate the greatest common divisor of f and w.", "a": "1" }, { "q": "Let v = 50 + -41. Suppose 735 = v*d - 489. Calculate the greatest common divisor of d and 34.", "a": "34" }, { "q": "Let i(l) = 3*l + 3. Let m = 27 - 35. Let y be i(m). Let k be (14/y)/(2/(-264)). What is the highest common factor of 8 and k?", "a": "8" }, { "q": "Suppose 8*b - b = 1610. Let o be b/30 + 2/(-3). Suppose o*g = 2*g + 1015. Calculate the highest common divisor of g and 29.", "a": "29" }, { "q": "Let i = 340 + -317. Let n be (-8)/10*(3 - -2). Let p be ((-6)/n)/((-3)/(-414)). What is the highest common factor of p and i?", "a": "23" }, { "q": "Let s(p) = -p - 1. Let y(z) = z + 19. Let n(h) = 2*s(h) + y(h). Let r be n(8). Calculate the highest common divisor of r and 45.", "a": "9" }, { "q": "Let t = 162 - 160. Let x be 1 + (-6 - -6) + 4*t. Calculate the highest common factor of 63 and x.", "a": "9" }, { "q": "Suppose 17 = 2*b + 5. Suppose 13*m = 16*m - 18. Calculate the highest common divisor of m and b.", "a": "6" }, { "q": "Let f(n) = n**2 + 3*n - 4*n + 4*n - 6. Let l be f(6). Let h be 1462/255 - 24/(-90). What is the greatest common factor of l and h?", "a": "6" }, { "q": "Suppose u - 46 = -j + 2*u, -2*j = 2*u - 112. Let v be ((-68)/10)/(17/(-85)). What is the highest common factor of v and j?", "a": "17" }, { "q": "Suppose -363 = -v + 5*y + 2492, -y - 4 = 0. Calculate the greatest common divisor of v and 105.", "a": "105" }, { "q": "Suppose -3*x - 10*i + 186 = -6*i, x + 5*i - 51 = 0. Suppose 5*q - 34 = -u + 20, 4 = 2*q. Suppose u = m + m. Calculate the highest common factor of x and m.", "a": "22" }, { "q": "Let w = 4520 - 4445. Calculate the highest common divisor of w and 100.", "a": "25" }, { "q": "Let p = 85 + -115. Let q = p - -61. What is the highest common factor of 217 and q?", "a": "31" }, { "q": "Suppose 7*p - 20 + 13 = 0. Suppose -3*j + 13 - p = 0, 0 = -5*o - 5*j + 280. What is the greatest common factor of o and 234?", "a": "26" }, { "q": "Suppose -3*r + 3*s + 12 = -0*s, -4*r = -2*s - 20. Let z be 1/(((-2)/90)/((-2)/r)). Let n be 2*15*(3 - 40/z). Calculate the highest common divisor of 80 and n.", "a": "10" }, { "q": "Let p(u) = 0 - 7*u - 2*u - u - 2. Let y be p(1). Let a(n) = -n**3 - 12*n**2 - 2*n + 16. Let s be a(y). Calculate the highest common factor of 5 and s.", "a": "5" }, { "q": "Let r(s) = s**2 - 8*s + 10. Let n be r(-8). Let w be (-1 - 0) + 42 + -35. Calculate the greatest common factor of w and n.", "a": "6" }, { "q": "Let p be 14/35*(63 - -2). Let r = -155 - -207. What is the greatest common factor of r and p?", "a": "26" }, { "q": "Suppose 330 = 2*i - 4*v, 4*i + v = 6*v + 645. Let z = i - 138. What is the greatest common factor of 68 and z?", "a": "17" }, { "q": "Suppose -2*o = -4*o - 3*o. Suppose o = 9*g - 12*g - 33. Let y be 45/(-6)*g/((-110)/(-12)). What is the greatest common divisor of y and 6?", "a": "3" }, { "q": "Suppose -196 = 29*n - 631. Suppose p + 3*y = y + 2, 0 = -4*p + 3*y + 30. Let w be p/9*(11 - 2). What is the highest common divisor of n and w?", "a": "3" }, { "q": "Let u(n) = -n**2 + 18. Let l be u(-5). Let s(k) = -k**2 - 5*k + 4. Let t be s(l). Let f = 7 - t. Calculate the highest common divisor of f and 51.", "a": "17" }, { "q": "Suppose n = -3*d - 0*d - 973, 645 = -2*d + 3*n. Let c = d + 555. What is the greatest common divisor of c and 7?", "a": "7" }, { "q": "Let s = 5804 - 4720. Calculate the highest common factor of 4 and s.", "a": "4" }, { "q": "Suppose -5*q - 5*t + 144 = -301, q = 5*t + 101. Calculate the highest common divisor of 49 and q.", "a": "7" }, { "q": "Suppose 100 = 5*b - 0*b. Suppose -n - 187*p + 38 = -191*p, 4*p + 128 = 4*n. Calculate the greatest common divisor of b and n.", "a": "10" }, { "q": "Let z = -153 - -158. Let x be z/2*(192/10 - -6). Calculate the greatest common divisor of x and 21.", "a": "21" }, { "q": "Let k(d) = 18*d**2 - 10*d - 4. Let u be k(-5). What is the greatest common factor of 16 and u?", "a": "16" }, { "q": "Let c = 1129 + -1124. Let q be ((-15)/(-6))/((-1)/(-2)). What is the greatest common divisor of q and c?", "a": "5" }, { "q": "Let t(j) = j**3 - 3*j**2 - 12*j - 150. Let d be t(9). What is the greatest common factor of d and 1311?", "a": "57" }, { "q": "Let n(i) = 153*i - 648. Let o be n(5). Let a be (-4)/22 + (-60)/33. Let g be (-4 - a)*(-26)/4. What is the highest common divisor of o and g?", "a": "13" }, { "q": "Let f be (-165)/(-7) + (-64)/112 + -1. Let a be f/((-21)/6 + 4). What is the highest common divisor of a and 99?", "a": "11" }, { "q": "Suppose 116*s + 73645 = 171*s. Calculate the highest common divisor of s and 103.", "a": "103" }, { "q": "Let d be (1 - 4 - -11)*1. Let c = 48 + -48. Suppose 2*n - 10 = -c, 0 = -4*l + 3*n + 241. Calculate the highest common divisor of d and l.", "a": "8" }, { "q": "Suppose 18 = 4*v - u, -v + 4*u - 23 = -4*v. Let w be 67 + (-2 - (v + -10)). What is the highest common divisor of 42 and w?", "a": "14" }, { "q": "Let k(y) = -y**3 + 8*y**2 + 13*y + 12. Let d be k(-4). Calculate the highest common factor of d and 304.", "a": "152" }, { "q": "Let k be 5*2/((-30)/(-9)). Suppose k*x - 46 = -10. Suppose -5*r + 5 = 0, 0 = 3*i - 5*r - 31 - x. Calculate the highest common factor of i and 8.", "a": "8" }, { "q": "Let h(r) = -148*r - 1106. Let z be h(-8). What is the greatest common factor of 897 and z?", "a": "39" }, { "q": "Let h be -1*5 + 10 + -3 + 208/4. Calculate the highest common factor of 3 and h.", "a": "3" }, { "q": "Let u be (-2 - -2) + (36 - (-8 - -4)). Suppose 30*x - 28*x = u. Calculate the greatest common divisor of x and 180.", "a": "20" }, { "q": "Let k = 4028 + -3878. Calculate the highest common factor of k and 425.", "a": "25" }, { "q": "Let z be 14*(-3)/(-21) + 1468 + 2. What is the highest common factor of z and 128?", "a": "64" }, { "q": "Suppose 3*j = 47 - 32. Suppose 0 = j*s + 5*w - 55, s + w = -3*w + 26. Let y be 8*10/12 + s/(-9). Calculate the greatest common factor of 6 and y.", "a": "6" }, { "q": "Let t(j) = -j**3 - 7*j**2 + 27*j + 15. Let p be t(-11). Let s = p - 139. Suppose -6*l + s = -3*l. Calculate the greatest common divisor of 231 and l.", "a": "21" }, { "q": "Let a(v) = 32*v**3 + 2*v - 1. Let d(s) = -34*s**3 - 2*s. Let o(u) = 2*a(u) + 3*d(u). Let n be o(-1). Calculate the highest common divisor of 133 and n.", "a": "19" }, { "q": "Suppose 5*w - 4*z - 4 = -2, 5*z - 4 = 3*w. Let n be w/(0 + 2)*(8 + -7). Suppose 0 = -3*s + 25 - n. What is the greatest common factor of s and 4?", "a": "4" }, { "q": "Let o be (-2112)/(-42) - (-2)/(-7). Suppose 0 = 14*x - 3952 - 2348. Calculate the highest common factor of x and o.", "a": "50" }, { "q": "Suppose -7*j + 75 = 19. Let v(a) = 0 - j*a + a**2 - 19 - 2 + 7. Let f be v(12). What is the highest common divisor of f and 170?", "a": "34" }, { "q": "Suppose 19*b - 3766 = 5*b. Suppose 0 = 8*o - 251 - b. Suppose 3*p + s - 24 = p, 4*s = -8. What is the greatest common divisor of p and o?", "a": "13" }, { "q": "Suppose 5*o - 4*g = 781, 443 = 3*o - 231*g + 235*g. Let k be 155/9 + 18/(-81). What is the highest common divisor of k and o?", "a": "17" }, { "q": "Let g = -33 + 37. Suppose 3*w = 6*w + g*w. Suppose w = -9*u + 7*u + 36. Calculate the highest common divisor of 12 and u.", "a": "6" }, { "q": "Let c = 5 - 0. Let k = -31 - -30. Let g be (6 - 4) + (-3)/k. What is the greatest common factor of c and g?", "a": "5" }, { "q": "Let v(m) = m**3 + 14*m**2 + 7*m + 20. Let q be v(-6). Calculate the highest common factor of q and 63.", "a": "7" }, { "q": "Suppose 0*f + 21*f = 61*f - 320. What is the highest common divisor of f and 100?", "a": "4" }, { "q": "Suppose 2*q = -3*x + 2255, 10*q + 1494 = 2*x + 9*q. Calculate the highest common factor of 535 and x.", "a": "107" }, { "q": "Suppose n + 2*z + 38 = 0, -3*n + 3*z = -37 + 151. Let g(o) = -5*o - 3. Let q be g(n). Calculate the highest common divisor of q and 17.", "a": "17" }, { "q": "Suppose -20*x = 9*x - 9*x - 360. Calculate the greatest common factor of x and 15.", "a": "3" }, { "q": "Let k = -17983 + 18127. Let t be 3/6 + 47/2. What is the highest common divisor of k and t?", "a": "24" }, { "q": "Let z(p) = 24*p**3 + p**2 + 3*p - 3. Let q be z(2). Suppose -25*s = -22*s - 1029. Let h = s - q. Calculate the highest common divisor of 16 and h.", "a": "16" }, { "q": "Let g(d) = 1890*d**2 + 2*d + 2. Let s be g(-1). Calculate the highest common factor of 15 and s.", "a": "15" }, { "q": "Let j(b) = -b + 1. Let q be j(-47). Calculate the greatest common divisor of 56 and q.", "a": "8" }, { "q": "Let z(n) = -n**3 - 72*n**2 + 282. Let x be z(-72). Calculate the greatest common factor of 658 and x.", "a": "94" }, { "q": "Let s(z) = -z**2 + 31*z - 116. Let n be s(11). Calculate the greatest common divisor of 13 and n.", "a": "13" }, { "q": "Let g = -9 + 86. Suppose 3*p - 8*p - 85 = 0. Let s be -1 + p/((-51)/36). Calculate the greatest common divisor of s and g.", "a": "11" }, { "q": "Let h = -71 + 11. Let c = h + 69. Suppose -3*o = -d - 78, 4*o - 2*o + 2*d = 60. Calculate the greatest common divisor of c and o.", "a": "9" }, { "q": "Let z(p) = 970*p - 3874. Let u be z(4). Let n(l) = -5*l - 1. Let v be n(-1). Suppose 9*o = v*o + 90. What is the greatest common divisor of o and u?", "a": "6" }, { "q": "Let f(y) = 163*y - 977. Let l be f(7). What is the highest common divisor of l and 8?", "a": "4" }, { "q": "Let b be (-53)/(-18) - 48/(-864). Suppose -27 - 6 = -c. Calculate the greatest common divisor of b and c.", "a": "3" }, { "q": "Suppose 50 = 4*i - 30. Let b(q) = q**2 + 8*q - 28. Let r be b(-12). Calculate the greatest common divisor of i and r.", "a": "20" }, { "q": "Let r = -4611 - -5003. What is the greatest common factor of 88 and r?", "a": "8" }, { "q": "Suppose 2*y + 260 = q, -4*q + y + 263 + 749 = 0. Suppose 4*c - q = -2*c. What is the highest common divisor of 98 and c?", "a": "14" }, { "q": "Let f be 2*(-366)/(-4) - 20/(-8 - -4). Calculate the greatest common divisor of f and 3854.", "a": "94" }, { "q": "Suppose 0*b = -3*b + 9. Let a(h) = 30*h + 14. Let j be a(b). Let g = -38 - -64. Calculate the greatest common divisor of j and g.", "a": "26" }, { "q": "Let f(k) = 7*k - 63. Let s be f(10). Let l be 4/(-26) - s/((-364)/320). Calculate the greatest common divisor of 54 and l.", "a": "6" }, { "q": "Suppose 3*r - 780 = -10*r. What is the greatest common factor of 465 and r?", "a": "15" }, { "q": "Let c be 8 - 5*94/5*-2. What is the greatest common divisor of c and 833?", "a": "49" }, { "q": "Let z(c) = 2*c**2 + 3*c + 6. Let p be z(-5). Let b = -6899 - -6940. Calculate the highest common divisor of b and p.", "a": "41" }, { "q": "Suppose -5*b + 59 = 2*f, 1 = 7*b - 8*b. Calculate the highest common divisor of 4640 and f.", "a": "32" }, { "q": "Let o(y) = -y**2 - 8*y. Let p be (-2)/(-3 + 2) + 13. Suppose -p + 33 = -3*w. Let i be o(w). Calculate the highest common divisor of i and 36.", "a": "12" }, { "q": "Suppose 4*u - 3*u + 2*j = 32, 3*u = j + 124. Let p = u - -51. Suppose -p = -8*a + 133. Calculate the greatest common divisor of a and 42.", "a": "14" }, { "q": "Let n be 2/(-6) - (-275)/33. Let l(b) = -56*b + 57. Let k be l(1). Calculate the greatest common divisor of n and k.", "a": "1" }, { "q": "Let t be (90/(-15))/408*4 + 341/17. Suppose -223 - 57 = -2*f. What is the highest common divisor of f and t?", "a": "20" }, { "q": "Suppose 4*y + 4*c = 324, -c = -y - 0*c + 77. Suppose -176 = -5*d + y. Calculate the highest common factor of d and 51.", "a": "51" }, { "q": "Let n be -6 - 310/(-50) - (-1628)/10. Let t = n - 155. Calculate the greatest common divisor of t and 32.", "a": "8" }, { "q": "Let j = 1067 - 1061. Suppose 5*x - 4*a = -0 + 7, -2*a = -4. Calculate the highest common factor of j and x.", "a": "3" }, { "q": "Suppose 573 - 87 = 60*i - 414. Calculate the highest common divisor of 1920 and i.", "a": "15" }, { "q": "Suppose -1730*p + 1732*p + a - 1568 = 0, -a = 5*p - 3917. Calculate the greatest common factor of p and 29.", "a": "29" }, { "q": "Let i be (-8 + 5)*(5 - (-206)/(-6)). Calculate the greatest common factor of 1056 and i.", "a": "88" }, { "q": "Let u = 146 + 993. What is the highest common divisor of 85 and u?", "a": "17" }, { "q": "Suppose 5*u = -4*v + 36, -5*u = -2*v - 3*u + 18. Suppose -5*n + 7 = -w, 3*n + 0*w = 3*w + v. Calculate the highest common divisor of 2 and n.", "a": "1" }, { "q": "Let h = 164 + -220. Let m be (h/(-3))/(6 - 96/18). Calculate the highest common factor of 56 and m.", "a": "28" }, { "q": "Suppose -2*j - 58 = -4. Let l = -16 - j. Let n be 4*(l*(-2)/(-8) - -1). What is the highest common factor of 135 and n?", "a": "15" }, { "q": "Let t(h) = -33*h**2 - 562*h + 13. Let p be t(-17). Calculate the greatest common factor of 1290 and p.", "a": "30" }, { "q": "Suppose 26*f - 25*f = 81 + 276. What is the highest common divisor of 102 and f?", "a": "51" }, { "q": "Suppose -2*l + 8*l - 72 = 0. Let n = l + -2. Let d be 2*(-7 + 3)/(-8)*5. What is the greatest common factor of d and n?", "a": "5" }, { "q": "Suppose 249 = -w + 41*w - 311. Calculate the greatest common divisor of w and 18.", "a": "2" }, { "q": "Let l be ((-1 - 0) + -19)*-1. Suppose -3*n + 3 = 0, 2*n - 9 = -y + 9. Calculate the highest common factor of y and l.", "a": "4" }, { "q": "Let t(r) = -45*r**2 + 1120*r - 20. Let l be t(24). Calculate the highest common divisor of 4 and l.", "a": "4" }, { "q": "Suppose -43 - 11 = -3*s. Let q be (-26)/(-2) + s/6. Let l(n) = n**3 - 9*n**2 + 10*n. Let v be l(8). Calculate the greatest common factor of q and v.", "a": "16" }, { "q": "Suppose 4*c = 2*h + 1358, 2*c = -3*h + 777 - 94. Suppose 4*q - c = -4*u, 3*q + 3*u - 285 = 6*u. What is the greatest common divisor of q and 135?", "a": "45" }, { "q": "Let c be 34/17*(2 - 3) - -34. Calculate the highest common divisor of c and 3616.", "a": "32" }, { "q": "Suppose -37*v - u = -42*v + 128, 5*u = 10. Calculate the greatest common divisor of 325 and v.", "a": "13" }, { "q": "Let o = -176 - -184. Suppose 567 = -o*g + 17*g. Calculate the highest common divisor of g and 9.", "a": "9" }, { "q": "Let b = 5 + -36. Let z = -15 - b. Calculate the greatest common factor of z and 56.", "a": "8" }, { "q": "Let k(r) = -r**3 - 6*r**2 - 3*r - 14. Let i be k(-6). Suppose -4*d = i*l - 444, 237 = 3*l - l - d. Calculate the highest common divisor of l and 29.", "a": "29" }, { "q": "Suppose 2*q - 42 = -5*q. Suppose -z - q*z = 0. Suppose 48 = -z*c + 3*c + 4*r, 5*c - 3*r = 80. Calculate the highest common divisor of c and 144.", "a": "16" }, { "q": "Let g = 434 - 428. What is the highest common divisor of g and 34?", "a": "2" }, { "q": "Suppose 0 = -3*t - 5*b + 17, 5*b - 12 = 8. Let p be (t - -3) + 49/7. Let c = 12 + p. Calculate the highest common factor of 14 and c.", "a": "7" }, { "q": "Suppose -5*u = 10, 3*h - 31 = 5*u - 3*u. Suppose -4*z - 35 - 64 = -3*j, 5*j = 2*z + 53. Let i = z + 33. Calculate the greatest common divisor of i and h.", "a": "9" }, { "q": "Suppose 15 = 4*w - z, 6*w - w = -4*z + 3. Suppose w*l = -3*l + 216. Calculate the greatest common factor of 144 and l.", "a": "36" }, { "q": "Let n = 2210 + -2111. What is the greatest common divisor of 11 and n?", "a": "11" }, { "q": "Let a(d) = -3*d**2 - 8*d - 2. Let y be a(-3). Let u = y + 7. Suppose -q + 191 - 24 = u*h, h = 5*q + 56. Calculate the greatest common factor of h and 9.", "a": "9" }, { "q": "Suppose y = 3*y - 2*r - 12, 2 = -2*r. Suppose b = -u + 36, -y*b = -5*u - 4*b + 168. Calculate the greatest common divisor of u and 102.", "a": "34" }, { "q": "Let z(l) = -l**3 - 4*l**2 - 7*l - 105. Let y be z(-8). What is the highest common divisor of y and 2070?", "a": "207" }, { "q": "Let d(w) = 5 + 54*w + 19 + 58*w - 118*w. Let o be d(-14). What is the greatest common divisor of 27 and o?", "a": "27" }, { "q": "Suppose 10 = 3*k - 50. Suppose -29 = 5*l + 71. Let w = k - l. What is the greatest common factor of w and 10?", "a": "10" }, { "q": "Let n = 3808 - 3736. What is the greatest common factor of 1176 and n?", "a": "24" }, { "q": "Let n(i) = -8*i - 7. Let w be n(-5). Let p = -19 + w. Let g(j) = 2*j**3 - 140*j**2 + 3*j - 203. Let b be g(70). What is the highest common divisor of b and p?", "a": "7" }, { "q": "Let m(s) = -7 - 10 + 22 - 8 - 2440*s**2 - 3*s. Let x be m(-1). Let a be (2/2)/(-3) - x/30. Calculate the greatest common factor of a and 9.", "a": "9" }, { "q": "Let p = -159 + 204. Let v = p + -35. Calculate the highest common divisor of v and 170.", "a": "10" }, { "q": "Let n(u) = 3*u**2 + 61*u - 39. Let l be n(-21). Suppose -l*g - 60 = -5*q, 4*g = 2*q + 3*q - 55. What is the greatest common factor of q and 25?", "a": "5" }, { "q": "Let s(c) = -c + 20. Let x be s(0). Suppose 10*p + 2*p - 48 = 0. Let n be -3 + 160 + (p - (3 - 2)). Calculate the greatest common factor of n and x.", "a": "20" }, { "q": "Let t be 2 + 1 + -1 + -2. Suppose -s + 47 + 41 = t. Suppose -43*j + 288 = -7*j. What is the highest common divisor of s and j?", "a": "8" }, { "q": "Suppose 5*c + 2057 = 3*x, 4*x + 2*c - 876 = 1832. What is the highest common divisor of 388 and x?", "a": "97" }, { "q": "Let j be ((-7440)/180)/((3 - (-19)/(-6))*4). Calculate the highest common factor of 837 and j.", "a": "31" }, { "q": "Suppose 18 = -5*j + 28. Suppose 0 = j*m - 149 + 21. Calculate the greatest common factor of 48 and m.", "a": "16" }, { "q": "Suppose -8*m + 43 + 141 = 0. Suppose -m*c + 1122 = -17*c. Calculate the greatest common divisor of c and 11.", "a": "11" }, { "q": "Let m be 9/24 - 1275/(-120). What is the greatest common divisor of 4895 and m?", "a": "11" }, { "q": "Let s be -9 + 2 + 2 - -35. Let w be 2/(-3) + 2/(s/325). What is the highest common factor of 14 and w?", "a": "7" }, { "q": "Let c be 3 - (-49132)/8 - 25/50. What is the greatest common divisor of c and 24?", "a": "24" }, { "q": "Suppose 0 = 23*u - 39*u + 2784. Calculate the highest common divisor of 29 and u.", "a": "29" }, { "q": "Let o(b) = -137*b**2 - 966*b - 1. Let s be o(-7). What is the greatest common factor of s and 732?", "a": "12" }, { "q": "Let g(a) = -a + 4. Let v be g(-4). Let q be 16*(9/12 + 1). Calculate the highest common factor of q and v.", "a": "4" }, { "q": "Let i = -815 - -1085. Calculate the greatest common factor of 180 and i.", "a": "90" }, { "q": "Let o be (2 + -4 - -4)*-1 - -157. Let f = 100 + o. Calculate the greatest common divisor of f and 17.", "a": "17" }, { "q": "Suppose -2*u + 44 = -3*q, 4*u - 4*q = -q + 88. Let a be (252/(-98))/(16/(-96) + 142/924). Calculate the greatest common factor of u and a.", "a": "22" }, { "q": "Let w be (-17 - -6) + 6 - -10. Suppose -u + 144 = -3*g, -g - 2*g - 708 = -w*u. Calculate the highest common factor of 47 and u.", "a": "47" }, { "q": "Suppose f + 140 = 3*f. Suppose -6*u + 14 = -4. Let s = 11 + u. Calculate the highest common factor of s and f.", "a": "14" }, { "q": "Let r = 288 - 288. Let o be (2/6)/(6/108). Let l = o + r. Calculate the highest common factor of 48 and l.", "a": "6" }, { "q": "Let w be ((-8)/(-3) - ((-8)/(-3) + -3))*335. What is the highest common factor of w and 15?", "a": "15" }, { "q": "Let j(y) = -y**3 - 59*y + 46 + 188*y - 66*y + 26*y**2 - 64*y. Let r be j(26). Suppose 0 = 4*s + s - 400. What is the greatest common factor of r and s?", "a": "20" }, { "q": "Suppose 6*q = -2*q + 16. Suppose 3*b = 5*b - 10, 0 = q*h - 3*b - 39. Calculate the greatest common divisor of 3 and h.", "a": "3" }, { "q": "Suppose -4*m + 156 = -5*h + 9*h, 0 = -4*h - 2*m + 162. Suppose 0 = l - 4, -31*y = -28*y + 3*l - 201. What is the greatest common divisor of y and h?", "a": "21" }, { "q": "Let b(c) = -52*c - 2197. Let o be b(-76). Calculate the highest common divisor of o and 540.", "a": "135" }, { "q": "Suppose -3*r + r = 22. Suppose 0 = 17*k - 819 - 31. Let j be (-11)/r*1/(2/k). What is the greatest common divisor of 200 and j?", "a": "25" }, { "q": "Let s be (306/(-45))/((-18)/405). What is the highest common factor of s and 748?", "a": "17" }, { "q": "Suppose -8*i + 106 = 10. Suppose 0 = -i*t - 3*t + 945. What is the greatest common divisor of 27 and t?", "a": "9" }, { "q": "Let d be (9 + -3)/((-1)/(-10)). Suppose -2*w - 1910 = -4*i, -1743*i + 1739*i = -10*w - 1870. Calculate the highest common divisor of i and d.", "a": "60" }, { "q": "Let l = -3906 + 3949. Calculate the highest common factor of l and 4042.", "a": "43" }, { "q": "Let b be -2 + 46*2 - 2/(-3 + 4). Calculate the greatest common divisor of 748 and b.", "a": "44" }, { "q": "Let r = 420 - 268. Calculate the highest common factor of r and 8.", "a": "8" }, { "q": "Suppose -31 = -69*w + 1004. What is the highest common divisor of w and 5055?", "a": "15" }, { "q": "Suppose -6*k = -2*k - 3*z - 1, z = -k - 5. Let s be 2/4*(k - 4). Let p be 68*(s - 28/(-8)). What is the highest common divisor of p and 51?", "a": "17" }, { "q": "Let o be 2552/66 - 2/(-6). Let b(y) = y**2 - o - y**2 + 34 + 7*y - y**2. Let x be b(2). What is the highest common divisor of x and 25?", "a": "5" }, { "q": "Let p = -61 + 66. Let m be (1 - p) + (-18 - -37). Let l(k) = -42*k - 6. Let s be l(-3). Calculate the greatest common divisor of m and s.", "a": "15" }, { "q": "Let m(o) = o**3 - o**2 - 15*o + 273. Let d be m(0). What is the highest common factor of d and 147?", "a": "21" }, { "q": "Let f = 198 - -22. Let d = f - 199. What is the highest common divisor of d and 42?", "a": "21" }, { "q": "Suppose o - v - 495 = 0, -2*o + 226 = 2*v - 760. What is the greatest common factor of 646 and o?", "a": "38" }, { "q": "Suppose -2*b = 2*n - 946, 1610 + 752 = 5*b + 4*n. Calculate the highest common divisor of b and 752.", "a": "94" }, { "q": "Let z(w) = 78*w**3 - w**2 - w + 2. Let l be z(1). Suppose 80*v - 34 = l*v. What is the greatest common factor of v and 1?", "a": "1" }, { "q": "Let b be 168/9 + (-5)/(45/(-12)). Calculate the highest common factor of 1730 and b.", "a": "10" }, { "q": "Let f = 116 - 124. Let d(k) = -5*k - 31. Let b be d(f). What is the highest common divisor of b and 225?", "a": "9" }, { "q": "Let n = 28 - 18. Suppose 4*q = w + 11 + 5, 5*w - 2*q - n = 0. Suppose -5*p + 330 = -a, -2*a + 264 = w*p - a. What is the greatest common divisor of 6 and p?", "a": "6" }, { "q": "Let n(g) = 3*g - 269*g**2 + g**3 + 132*g**2 - 7 + 133*g**2. Let v be n(4). Calculate the greatest common factor of 160 and v.", "a": "5" }, { "q": "Suppose -8*h - 5 = -13*h. Suppose 3*p - 1 = 8. Suppose p*f + h - 25 = 0. Calculate the greatest common factor of 12 and f.", "a": "4" }, { "q": "Let h(j) be the first derivative of 3/2*j**2 - 1/4*j**4 - 9*j + 5 + 4/3*j**3. Let r be h(4). What is the highest common factor of r and 3?", "a": "3" }, { "q": "Let n(m) = -m**3 - 7*m**2 + 8*m + 9. Let v be n(-8). Let k = -151 - -151. Suppose 9*x + 7*x - 144 = k. What is the highest common divisor of x and v?", "a": "9" }, { "q": "Suppose -221*z - 7 = -220*z. Let b be (-538)/(-4) + (49/(-14))/z. What is the highest common factor of 15 and b?", "a": "15" }, { "q": "Suppose o + 65 = 4*j, 5*o + j + 4*j = -325. Suppose 2*m = 3*i + 38, 39 = -5*m - i + 100. Let a = m - o. What is the highest common divisor of a and 26?", "a": "26" }, { "q": "Let c = -1632 + 1729. Calculate the highest common divisor of 9 and c.", "a": "1" }, { "q": "Let h = 58 - 47. Let f(z) = -4*z**3 + 2*z**3 - h + 10*z + 5*z**3 - 2*z**3 - 9*z**2. Let l be f(8). Calculate the highest common divisor of l and 1.", "a": "1" }, { "q": "Let g = 939 + -849. Calculate the greatest common factor of 105 and g.", "a": "15" }, { "q": "Let t(y) = 2*y**2 - 28*y + 41. Let n be t(20). Suppose -68 = -n*z + 280*z. What is the highest common factor of 17 and z?", "a": "17" }, { "q": "Let q be (-4)/6*3/(-2). Let x(f) = -5*f + 1. Let w be x(q). Let t be 96/30*(-70)/w. What is the highest common divisor of 140 and t?", "a": "28" }, { "q": "Suppose -r + 0*r + 1 = 4*o, -2*o + 13 = 3*r. Let q be (((-128)/(-24))/8)/(o/(-24)). Calculate the highest common factor of 128 and q.", "a": "16" }, { "q": "Let v = 490 - 338. Let z = -69 - -87. Suppose -14*q + z*q - 76 = 0. Calculate the highest common factor of v and q.", "a": "19" }, { "q": "Suppose -5*b + 1 = 6. Suppose -34*m + 38*m - 8 = 0. Let c be -34*b/6*(m - -1). Calculate the greatest common factor of 51 and c.", "a": "17" }, { "q": "Let t be (-2)/(-8) + (-43)/(-4). Let y = -4480 + 4491. Calculate the highest common factor of t and y.", "a": "11" }, { "q": "Suppose -112 = -8*d + 4*d. Let j(x) = -x**3 + 24*x**2 - 15*x + 68. Let w be j(23). What is the highest common factor of w and d?", "a": "28" }, { "q": "Let g be 149 + (-1)/((-1)/4) - -1. Suppose 12*v - 62 - g = 0. Suppose 5*q - 246 + 21 = 0. What is the highest common factor of q and v?", "a": "9" }, { "q": "Let r be (-49 + -1)*84/15*(-129)/86. What is the highest common factor of r and 228?", "a": "12" }, { "q": "Let d(b) = -b**3 + 3*b**2 - 5*b + 370. Let s be d(0). Calculate the highest common divisor of 814 and s.", "a": "74" }, { "q": "Let l(q) = -q**3 - 12*q**2 + 2*q + 2. Let g be l(-12). Let m = g + 22. Let n be m - (4/2 + -343). Calculate the greatest common factor of 31 and n.", "a": "31" }, { "q": "Let f = -1093 - -1417. Calculate the greatest common factor of 252 and f.", "a": "36" }, { "q": "Let j = 170 - 167. Suppose j*f - 432 = -13*f. Calculate the greatest common divisor of f and 6.", "a": "3" }, { "q": "Let a be 3/5*(-43875)/(-1053). Let s be 400/12*(5 - -1). What is the highest common factor of a and s?", "a": "25" }, { "q": "Suppose 2*a = 23*a - 5103. What is the highest common factor of 27 and a?", "a": "27" }, { "q": "Suppose 4*i - 5*z - 115 = 0, 8*i + 3*z - 66 = 5*i. What is the greatest common divisor of 590 and i?", "a": "5" }, { "q": "Let p(d) = 17*d**3 + d**2 - 3*d + 7. Let q be p(2). Let w = q - -2. Calculate the greatest common factor of 13 and w.", "a": "13" }, { "q": "Let g be 20/(-12) - (-24864)/63. Calculate the greatest common divisor of 6 and g.", "a": "3" }, { "q": "Let u be (-1)/2 + (-70)/4. Let c = 28 + u. Suppose 6*x = -5*g + x + c, x = 3*g - 6. Calculate the greatest common divisor of g and 4.", "a": "2" }, { "q": "Suppose -4*r = -10547 + 10291. Suppose 0 = 5*w + 78 + 2. Let j = -8 - w. Calculate the highest common divisor of j and r.", "a": "8" }, { "q": "Suppose l = -0*l - 8. Let y(t) = -t**2 - 8*t + 1. Let s be y(l). Let g be s/(-3) - 820/(-30). Calculate the greatest common divisor of 18 and g.", "a": "9" }, { "q": "Suppose 2*r = 4*r - 432. Suppose -15*h + 20*h = -720. Let o be (-7)/(-3 - -4)*h/42. What is the highest common factor of r and o?", "a": "24" }, { "q": "Let f(h) = 10*h + 420. Let x be f(-39). Calculate the highest common factor of 2370 and x.", "a": "30" }, { "q": "Let s = 3851 - 3347. Calculate the greatest common factor of s and 3.", "a": "3" }, { "q": "Let u be 598/15 - ((-224)/120)/14. Calculate the greatest common divisor of u and 80.", "a": "40" }, { "q": "Suppose 17*u - 144 = 11*u. Suppose -424 + 40 = -u*j. Calculate the greatest common factor of j and 4.", "a": "4" }, { "q": "Let d = -3994 + 4002. Calculate the highest common factor of 1644 and d.", "a": "4" }, { "q": "Suppose 3*l = -2*g + 15, 3*l = 3*g + 4*l - 5. Let m be (-4 - -7) + (-4 - (g + -4)). Calculate the highest common divisor of m and 9.", "a": "3" }, { "q": "Suppose 192*o - 5*x + 2288 = 194*o, 5*o + x = 5697. What is the highest common factor of 201 and o?", "a": "67" }, { "q": "Let j(y) = -y**3 + 19*y**2 + y + 17. Suppose 5*b = 5*k - 80, k - 5 = 2*b + 8. Let n be j(k). Calculate the highest common divisor of n and 63.", "a": "9" }, { "q": "Let z = 613 - 607. Let j = 39 + 75. Calculate the highest common factor of j and z.", "a": "6" }, { "q": "Suppose 10042 = -56*a + 103786. Calculate the greatest common divisor of a and 36.", "a": "18" }, { "q": "Let i(n) = -n**2 + n - 2. Let u(j) = -j**2 - 3. Let q(h) = 6*i(h) - 5*u(h). Let k be q(5). What is the highest common divisor of 56 and k?", "a": "8" }, { "q": "Suppose 0 = 32*s - 30*s - 84. Suppose -6*q = -12*q + s. Let j = -2 + 3. What is the highest common factor of q and j?", "a": "1" }, { "q": "Let a be 5 - 27/6*(-10)/(-15). Let u = 43 + -11. What is the greatest common divisor of a and u?", "a": "2" }, { "q": "Let i(w) = -w**2 - 20*w - 40. Let l be i(-9). Let h = -14 + l. Suppose 0 = 5*r - 80 - 10. Calculate the greatest common divisor of r and h.", "a": "9" }, { "q": "Let n = -40 - -42. Suppose 3*m - 116 = -n*w, -5*w - 20 = -m - w. Let f = 41 - m. What is the highest common factor of f and 55?", "a": "5" }, { "q": "Suppose 2*v - 5*m + 15 = 195, 0 = 5*v + 2*m - 479. Let z be 2*-1 + 1 + 5. Let n be 37 + -1 + z + -2. Calculate the greatest common factor of n and v.", "a": "19" }, { "q": "Suppose -2150 = 1073*g - 1083*g. Calculate the greatest common factor of g and 516.", "a": "43" }, { "q": "Suppose 3*c - 60 = -5*i, 0 = -28*c + 26*c - 4*i + 44. Let x be 276/14 + (-2)/(-7). What is the highest common divisor of c and x?", "a": "10" }, { "q": "Let d(o) = 3*o + 15. Let t be d(-3). Suppose t*x - 2673 = -297. Let s = 13 + 31. Calculate the greatest common divisor of x and s.", "a": "44" }, { "q": "Let i be 440/6*(-15)/(-20). Let b(a) = 3*a**2 - 22*a + 6. Let q be b(8). Calculate the highest common divisor of q and i.", "a": "11" }, { "q": "Suppose 6*o = 5*o + 2. Suppose o*i + 0 + 20 = 5*s, -3*s + 5*i = 7. Let t(x) = -41*x**3 + 1. Let l be t(-1). What is the highest common divisor of s and l?", "a": "6" }, { "q": "Suppose 4*y + 106 - 3562 = -5*j, -5*y + 5*j = -4320. Calculate the greatest common divisor of y and 9.", "a": "9" }, { "q": "Let b(c) = c**2 - 2*c - 45. Let f be (-4 - (-12)/3)/2. Let q be b(f). Let k = q + 47. What is the greatest common factor of 4 and k?", "a": "2" }, { "q": "Let y = 82 - -50. Calculate the greatest common divisor of y and 1155.", "a": "33" }, { "q": "Suppose 121*p + 1190 = 126*p. Suppose -4*v + y + y = -p, v = 2*y + 58. Calculate the greatest common factor of 48 and v.", "a": "12" }, { "q": "Let u(t) = -t**3 + 6*t**2 + 25*t - 14. Let s be u(8). Let z = s + -50. Calculate the highest common factor of z and 20.", "a": "4" }, { "q": "Suppose 11 + 6 = -17*j. Let v be (-2457)/(-78) + j/(-2). What is the greatest common factor of v and 160?", "a": "32" }, { "q": "Let p be (21 - (-16)/(-2)) + 15. What is the highest common divisor of p and 124?", "a": "4" }, { "q": "Let m = 245 + -236. Let j(s) = s**2 + 7*s - 5. Let f be j(-9). Let t = 22 - f. What is the greatest common factor of m and t?", "a": "9" }, { "q": "Let x(n) = 2*n**3 + n**2 + 10*n - 17. Let q be x(5). Let c = 286 + q. What is the highest common factor of c and 54?", "a": "54" }, { "q": "Let a be 44/4 - (-574497)/77. What is the greatest common factor of 16 and a?", "a": "16" }, { "q": "Let i(z) = 4*z**3 + 26*z**2 + 15*z + 113. Let g be i(-6). What is the highest common divisor of g and 608?", "a": "19" }, { "q": "Let u(p) = p**3 - 8*p**2 + p - 1. Let v be (8/10)/(1/10). Let r be u(v). Let d = 38 + -3. Calculate the greatest common factor of r and d.", "a": "7" }, { "q": "Suppose 2*f - 303 = 11*b - 16*b, -b = -f + 134. Let k = -116 + f. Calculate the highest common divisor of k and 115.", "a": "23" }, { "q": "Suppose 5*c + 34 = 6*c. Let k be c/4 + (-6)/12. Suppose k*z - 20 = 7*z. What is the greatest common divisor of z and 50?", "a": "10" }, { "q": "Suppose 0 = -2*a + b + 984, 1374*a - 1371*a + 2*b - 1490 = 0. Calculate the greatest common factor of 104 and a.", "a": "26" }, { "q": "Let f be (7 + -7)/(2 - 3/1). Suppose 7*x - 57 - 6 = f. Calculate the greatest common divisor of x and 9.", "a": "9" }, { "q": "Suppose -2*c = -4*j - 4*c + 4, -8 = 2*j - 4*c. Suppose -4*y + 5*g = -64, j*g = -4*g + 16. Calculate the greatest common factor of 189 and y.", "a": "21" }, { "q": "Let s(i) = -33*i + 1159. Let h be s(31). What is the greatest common factor of h and 10?", "a": "2" }, { "q": "Let m be (-1)/2 - (-4)/8. Suppose -417 = -3*p + 4*u, m*p - u + 289 = 2*p. Suppose 28*c + 182 = 42*c. What is the greatest common divisor of c and p?", "a": "13" }, { "q": "Let l = -37 + 46. Let r be -5 - (-81)/9 - -95. Calculate the highest common factor of r and l.", "a": "9" }, { "q": "Suppose -8*r + 7405 - 4389 = 0. What is the greatest common divisor of r and 145?", "a": "29" }, { "q": "Suppose 822*q - 829*q - 14 = 0. Suppose -5*t + 3*t = -2. Let j be (0 + t)/(q/(-40)). Calculate the highest common divisor of 20 and j.", "a": "20" }, { "q": "Suppose -161 + 161 = -3*n. Suppose -36*d + 32*d + 84 = n. What is the greatest common divisor of d and 35?", "a": "7" }, { "q": "Let p(o) = 4*o**2 + 16*o + 20. Let u(g) = g**2 + 5*g + 7. Let i(x) = -2*p(x) + 7*u(x). Let t be i(0). Calculate the highest common divisor of 9 and t.", "a": "9" }, { "q": "Suppose -7*n - 2265 = -655. Let p = 242 + n. Calculate the highest common factor of p and 60.", "a": "12" }, { "q": "Let s = 347 - -6341. What is the greatest common factor of 11 and s?", "a": "11" }, { "q": "Let i = 23 - -13. Suppose -45 = 3*p - 30, 0 = 3*k - 2*p - 1414. Calculate the greatest common factor of k and i.", "a": "36" }, { "q": "Let u = 575 + -566. Suppose -252 = 4*s - 11*s. Calculate the greatest common divisor of u and s.", "a": "9" }, { "q": "Let d = -1325 - -1611. Calculate the greatest common divisor of d and 2145.", "a": "143" }, { "q": "Let b = -247 + 256. Let t(l) = -3*l**2 - 51*l. Let c be t(-15). Calculate the greatest common factor of c and b.", "a": "9" }, { "q": "Let u(x) = 2*x**2 - 4*x - 10. Let f be u(7). Suppose 136*a - 131*a - f = 0. Calculate the greatest common factor of a and 78.", "a": "6" }, { "q": "Let y = -29 - -56. Let x = -393 + 383. Let u be (-27*(-7)/105)/((-1)/x). What is the highest common divisor of y and u?", "a": "9" }, { "q": "Let v be -6 - (8/(416/2379))/(2/(-16)). What is the highest common factor of 160 and v?", "a": "40" }, { "q": "Let u(o) = -77*o - 603. Let v be u(-8). Calculate the greatest common divisor of v and 325.", "a": "13" }, { "q": "Let y = 7 - 3. Suppose -2*n = c - 3*n - 8, 0 = -c - n + 8. Suppose -30*z + 34*z - c = 0. Calculate the greatest common divisor of y and z.", "a": "2" }, { "q": "Let b(c) = -c**2 + 39*c + 111. Let h be b(37). Let z = -153 + h. What is the highest common divisor of 2 and z?", "a": "2" }, { "q": "Let j be 4/22 + (-336)/(-88). Suppose 0 = 2*d + j*r - 20, -11*d - 4*r + 32 = -6*d. What is the greatest common divisor of 124 and d?", "a": "4" }, { "q": "Let j(v) = v**3 + 2*v**2 - 4*v - 1. Let u be j(-3). Suppose -4*g + 36 = 4*h, 4*h + 110*g - 107*g = 29. Calculate the greatest common divisor of u and h.", "a": "2" }, { "q": "Let r(t) = -t**2 + 4*t + 11. Let j be r(6). Let x = -6 - j. Let c be 4/x - (-74)/5. What is the greatest common divisor of 154 and c?", "a": "14" }, { "q": "Suppose -t + 3 = w, 3*w = -2*t + 3 + 8. Let o = -56 - -80. Suppose 105 = o*n - 21*n. Calculate the highest common divisor of w and n.", "a": "5" }, { "q": "Suppose -t - 22*t + 2737 = 0. Suppose 2*m + 4*w = 46, 5*m + 5*w = 2*m + 66. Calculate the greatest common factor of t and m.", "a": "17" }, { "q": "Suppose -5*a + 209 = v + 3*v, 4*v - 233 = 3*a. What is the highest common divisor of 70 and v?", "a": "14" }, { "q": "Let g = 27 - 22. Suppose 6*v - 3*v + g*b = 55, -58 = -4*v + b. Let q = 45 - 0. Calculate the highest common factor of q and v.", "a": "15" }, { "q": "Let l = 1367 + -1331. Calculate the greatest common divisor of l and 2052.", "a": "36" }, { "q": "Suppose 3*o - 47 = -5*j + 526, -j + 121 = -o. Let a = -97 + j. What is the greatest common factor of 5 and a?", "a": "5" }, { "q": "Let n be (4/((-16)/(-13)))/(17/408). Calculate the greatest common factor of 832 and n.", "a": "26" }, { "q": "Suppose -214 - 191 = -9*y. Let f = y + -57. Let j be (-1)/(f/(-4)) - (-274)/3. Calculate the greatest common factor of j and 13.", "a": "13" }, { "q": "Let s = 1680 + -1610. Calculate the greatest common divisor of 42 and s.", "a": "14" }, { "q": "Suppose -25 = 3*v - 4*s, 32 = -23*v + 19*v + 5*s. Let i be v/7 + -23*30/(-42). What is the greatest common divisor of i and 112?", "a": "16" }, { "q": "Let s = 259 - 235. Let u = -64 + 80. What is the greatest common divisor of s and u?", "a": "8" }, { "q": "Let k = 21 + -14. Let y be (-10)/(-35) + 1174/k. Suppose -3*r - 132 = -5*t, 3*r - 45 - 39 = -4*t. What is the highest common divisor of t and y?", "a": "24" }, { "q": "Let v = 4597 + -4513. Calculate the greatest common divisor of 1806 and v.", "a": "42" }, { "q": "Suppose -4*r - 103 = -s, 294 = -13*s + 16*s + 3*r. Calculate the greatest common factor of 1947 and s.", "a": "33" }, { "q": "Suppose -2*q + 27 = q. Let w(v) = -v**2 + 16*v + 20. Let h be w(17). Let d be (h*6)/(9*26/1287). What is the greatest common factor of d and q?", "a": "9" }, { "q": "Suppose -h + 165 - 74 = 70. What is the highest common factor of 7329 and h?", "a": "21" }, { "q": "Let a(v) = v**3 - 25*v**2 - 3*v + 90. Let z be a(25). Let l = 6 + -3. What is the highest common factor of z and l?", "a": "3" }, { "q": "Let o = 216 - 153. Suppose -45 = -2*s - 4*z + 7, -z = 3*s - 58. What is the highest common divisor of o and s?", "a": "9" }, { "q": "Let y = -2691 + 2791. Calculate the greatest common factor of 750 and y.", "a": "50" }, { "q": "Suppose -5*g + 86 = -2*w, -12*g + 10*g + 4*w + 44 = 0. Calculate the greatest common factor of g and 1856.", "a": "16" }, { "q": "Let z(x) = 7*x + 11. Let o be z(10). Let h = -15 - -21. Let k be (h + 4 - 4) + 3. What is the greatest common divisor of k and o?", "a": "9" }, { "q": "Let c = -735 - -771. Let x be 3/(-2) - 117/(-6). What is the highest common factor of c and x?", "a": "18" }, { "q": "Let q(d) = -d**2 - 92*d + 745. Let n be q(-99). What is the highest common factor of n and 1534?", "a": "26" }, { "q": "Let w = -107 - -111. Let r be w/16 - 21/(-12) - -23. What is the highest common factor of 10 and r?", "a": "5" }, { "q": "Let t(u) = 48*u + 54*u**2 - 91*u - 3 - 1 + 39*u. Let b be t(-1). What is the greatest common factor of b and 189?", "a": "27" }, { "q": "Let x = -4125 - -4296. What is the greatest common factor of 72 and x?", "a": "9" }, { "q": "Suppose 5*c + 315 = 5*g, -5*g + 3*c = 8*c - 315. Let q be 3/2 - 231/(-2). Let w = q - g. Calculate the greatest common factor of w and 18.", "a": "18" }, { "q": "Let g = -2987 - -3659. Calculate the highest common divisor of 420 and g.", "a": "84" }, { "q": "Let h be 27/(-6)*(-22)/(-3)*-1. Suppose -h = 3*d - 39. Suppose -d*b + 7 = -5*c - 9, 2*c = -4. What is the highest common factor of b and 6?", "a": "3" }, { "q": "Let y be (0 - -1)/((-5091)/636 - -8). Let g = -206 - y. Calculate the greatest common factor of g and 66.", "a": "6" }, { "q": "Let k be (-1561)/(-3) - (-2)/36*-6. Suppose 27*i - 387 = 693. Calculate the greatest common factor of i and k.", "a": "40" }, { "q": "Let h = 349 - 343. What is the greatest common factor of h and 222?", "a": "6" }, { "q": "Suppose -13*x + 525 + 2270 = 0. Calculate the greatest common factor of 15 and x.", "a": "5" }, { "q": "Let d(k) = -13*k**2 - 99*k - 44. Let h be d(-7). Let g be (6 - 0)*(-1 + 4). What is the highest common factor of g and h?", "a": "6" }, { "q": "Suppose x + 10 = 6*x. Let z(u) be the second derivative of 3*u**3/2 + 29*u**2/2 - 43*u. Let c be z(-3). Calculate the greatest common factor of x and c.", "a": "2" }, { "q": "Suppose 15*c - 19 = 41. Suppose 3*z - 394 = c*b, 0 = 4*z - 2*b - 132 - 380. What is the greatest common divisor of z and 18?", "a": "18" }, { "q": "Let n = 1908 - 1898. Calculate the highest common factor of 795 and n.", "a": "5" }, { "q": "Let b be 904 + (28/(-84) - (-2)/(-3)). Calculate the greatest common divisor of b and 3.", "a": "3" }, { "q": "Suppose 11*k - 2*k - 576 = 0. Suppose 16*v + 0*v = k. What is the highest common factor of v and 148?", "a": "4" }, { "q": "Suppose 56*r + 13*r = 2346. Calculate the highest common divisor of r and 1445.", "a": "17" }, { "q": "Suppose 4*x - 42 = -22. Suppose 3*l - x*j - 1825 = -2*l, 4*l = 2*j + 1458. What is the highest common divisor of 14 and l?", "a": "14" }, { "q": "Let d be (0 + 4 + (-55)/33)/((-3)/(-99)). What is the highest common divisor of d and 4928?", "a": "77" }, { "q": "Suppose -4*t - 11*t + 624 - 174 = 0. Calculate the highest common factor of 4170 and t.", "a": "30" }, { "q": "Let l be (-78)/65 + 9204/20. Calculate the highest common divisor of 17 and l.", "a": "17" }, { "q": "Suppose 3*c + j = 2*c + 3, 15 = -5*j. Let h be (-80)/30*21/(-24)*c. Calculate the highest common divisor of 112 and h.", "a": "14" }, { "q": "Let s be ((-2)/(-6))/((-12147)/2025 - (-32 - -26)). What is the greatest common divisor of 855 and s?", "a": "45" }, { "q": "Let f(u) = -17 - u**3 + u**2 + 3*u**2 - 17*u + 10*u**2 + 9. Let z be f(12). Calculate the highest common divisor of z and 57.", "a": "19" }, { "q": "Let b(c) = 427*c**2 + 83*c + 83. Let r be b(-1). Calculate the highest common divisor of 488 and r.", "a": "61" }, { "q": "Let o = -2 + -19. Let r = -10 - o. Let a = -2032 - -2043. What is the greatest common divisor of a and r?", "a": "11" }, { "q": "Let q be (-5 + (-55)/(-10))*84. Suppose -24*i + 17*i = -q. What is the highest common factor of 42 and i?", "a": "6" }, { "q": "Let f be (103/2)/(232/(-80) + 3). Suppose -l + f = 2*q - 4*l, -4*q = 5*l - 997. Calculate the highest common divisor of 23 and q.", "a": "23" }, { "q": "Let c be 1*26 + -1 - (-10 - -10). Let f = 153 - c. Suppose -8*a + 9*a = f. Calculate the highest common factor of a and 16.", "a": "16" }, { "q": "Suppose 4*o - 14 = 2*o. Let t be (0 + -3)/((-5)/(-5)). Let r be 1074/14 - (-14)/(-147)*t. Calculate the highest common divisor of o and r.", "a": "7" }, { "q": "Let t(z) = -z**3 - z**2 - 8*z - 5. Let r(q) = q**3 + 13*q**2 + 40*q - 4. Let v be r(-5). Let x be t(v). Calculate the greatest common divisor of 30 and x.", "a": "15" }, { "q": "Let f(n) be the second derivative of 11*n**4/4 - n**3/6 - n**2 - 2*n. Let x be f(2). Suppose -10*c = -6*c - x. Calculate the highest common factor of c and 8.", "a": "8" }, { "q": "Suppose 179*f = 185*f - 420. Suppose -i = t - 16, i + 22 = t + 5*i. Calculate the highest common factor of t and f.", "a": "14" }, { "q": "Suppose -35*p + 2*p + p + 2560 = 0. What is the greatest common factor of 2120 and p?", "a": "40" }, { "q": "Let b(h) = 10*h**3 - 8*h**2 + 104*h + 5. Let l be b(6). Calculate the highest common factor of l and 61.", "a": "61" }, { "q": "Suppose 12650 = 39*o - 8023 + 1914. Calculate the highest common divisor of o and 74.", "a": "37" }, { "q": "Let v(m) = m**2 - 21*m - 4. Let a be v(14). Let d be (a/(-5))/(34/255). Suppose 4*p + d = 601. Calculate the highest common divisor of 16 and p.", "a": "16" }, { "q": "Let f(s) = -4*s**2 + 30*s - 1. Let j be f(3). What is the greatest common divisor of 1643 and j?", "a": "53" }, { "q": "Let y(l) = -143*l - 478. Let p be y(-5). Calculate the highest common divisor of p and 158.", "a": "79" }, { "q": "Suppose 5 = 2*g + i - 2, 23 = 4*g - i. Suppose 61 = 3*u + v, -3*v = -3*u + v + 56. Calculate the highest common factor of g and u.", "a": "5" }, { "q": "Suppose 0 = w + 2*h - 26, 7*w - 154 = 2*w + 2*h. Suppose 126 = -5*f + 4*z + 367, 2*z - 217 = -5*f. What is the greatest common factor of f and w?", "a": "15" }, { "q": "Suppose -89*m + 3952 + 2141 = 1554. Calculate the highest common divisor of m and 9.", "a": "3" }, { "q": "Suppose z - 2300 = 3*b, 0 = 5*z - 2*b - 9241 - 2259. What is the highest common divisor of z and 276?", "a": "92" }, { "q": "Suppose -4*o - 3*j = -945, 0 = 3*o + 3*j + 172 - 877. Suppose 0 = 8*c - 11*c + o. Calculate the highest common factor of 20 and c.", "a": "20" }, { "q": "Suppose 4*j = 2*m - 2656, -3*m + 2*j + 3981 = -j. Let s = m - 831. Calculate the greatest common factor of 55 and s.", "a": "55" }, { "q": "Let x(v) = 117*v - 321. Let i be x(3). What is the greatest common factor of i and 46?", "a": "2" }, { "q": "Suppose -87*r + 81*r + 60 = 0. Suppose 3*b + 0 - 60 = 0. Suppose r = 2*m - b. Calculate the greatest common factor of m and 15.", "a": "15" }, { "q": "Suppose 6*w - 4*u - 161 = 3*w, 0 = 5*w - 3*u - 272. Let x = 13 - -31. What is the highest common factor of w and x?", "a": "11" }, { "q": "Let z = 175 + -182. Let x(a) = -2*a**2 - 17*a - 4. Let d be x(z). Calculate the highest common divisor of d and 85.", "a": "17" }, { "q": "Let p = -557 + 657. Let q(i) = 4*i**2 + 3*i - 2. Let z be q(-3). What is the greatest common divisor of z and p?", "a": "25" }, { "q": "Suppose -v - 243 = 4*a, -3*v = -0*v - 15. Suppose -5*q - 5*o - 215 = 0, 229 = -5*q + 10*o - 8*o. Let b = q - a. What is the highest common divisor of 17 and b?", "a": "17" }, { "q": "Let w be (-3)/(2/((-64)/(-4))). Let c be (2 - -102)/(w/(-12)). What is the highest common divisor of 78 and c?", "a": "26" }, { "q": "Let o(d) = -28*d - 111. Let j be o(-12). Let g = j + -192. Calculate the highest common factor of g and 132.", "a": "33" }, { "q": "Suppose 0 = -15*m + 16*m - 716. Suppose 2*r - p - 3*p = m, 0 = -2*r - p + 721. Calculate the greatest common factor of r and 40.", "a": "40" }, { "q": "Let z = -46 - -48. Suppose -z*r = 3*r + 105. Let x = 12 - r. Calculate the greatest common factor of 3 and x.", "a": "3" }, { "q": "Let z(r) = -r**3 + 2*r**2 - 61*r - 255. Let w be z(-5). Calculate the highest common divisor of 18 and w.", "a": "9" }, { "q": "Let z be ((-630)/(-5))/3 + -2. Let m = z + -26. Suppose -r = 4*w - 5 - 9, 0 = 5*r + 2*w - 16. Calculate the highest common divisor of r and m.", "a": "2" }, { "q": "Let z be 1 + 17 - (-67 - -61). What is the highest common divisor of z and 584?", "a": "8" }, { "q": "Suppose t = 73 - 6. Let d = t + -40. Calculate the highest common divisor of d and 459.", "a": "27" }, { "q": "Suppose 234 = -6*f - 0*f. Let p = -4 - f. Calculate the greatest common divisor of p and 7.", "a": "7" }, { "q": "Suppose a - 9 = -0*a. Let w = -4 + a. Suppose 0 = i - 2*k - 26, -2*i + 42 = 3*k - w*k. Calculate the highest common divisor of i and 8.", "a": "8" }, { "q": "Let x = -200 - -217. What is the greatest common factor of x and 17?", "a": "17" }, { "q": "Let s(f) = 55*f + 33*f**2 - 2 + 53*f - 105*f. Let i be s(1). What is the highest common divisor of i and 2?", "a": "2" }, { "q": "Let x be 24/(-84) + 12/(-7) - -2. Suppose 4*u = 40 - x. Calculate the greatest common divisor of 25 and u.", "a": "5" }, { "q": "Let p(z) = -3*z + 53. Let j be p(5). Suppose j*q - 40*q + 104 = 0. What is the highest common factor of 572 and q?", "a": "52" }, { "q": "Suppose 6*i + 99 = 9*i. Let q be ((-28)/8)/(4/(-8)). Suppose 0 = 4*t - 37 - q. What is the greatest common factor of i and t?", "a": "11" }, { "q": "Let p = -10 + 24. Let i = -15 - -228. Let c = i + -211. What is the highest common factor of p and c?", "a": "2" }, { "q": "Let d be 102/1785 - 36114/(-105). Calculate the highest common divisor of d and 64.", "a": "8" }, { "q": "Suppose -4*t - 5*m + 52 = 0, -4*t - 4*m + 228 = 172. What is the greatest common factor of 1602 and t?", "a": "18" }, { "q": "Suppose -3 = -4*x + 13. Suppose 31 - 19 = x*m. Let b be (15/1 + 2)*m. Calculate the highest common divisor of b and 17.", "a": "17" }, { "q": "Let o = -2901 - -3006. Calculate the greatest common factor of o and 8715.", "a": "105" }, { "q": "Let h be (-248)/496 - (-2722)/4. What is the greatest common factor of h and 200?", "a": "40" }, { "q": "Let u(y) = 3*y**2 - 135*y - 558. Let d be u(58). Calculate the greatest common factor of d and 24.", "a": "24" }, { "q": "Let d = -3595 + 3684. What is the highest common factor of 1157 and d?", "a": "89" }, { "q": "Let m(u) = -48*u + 1384. Let w be m(28). What is the greatest common divisor of w and 376?", "a": "8" }, { "q": "Let u(y) = 140*y + 5613. Let w be u(-40). Let s(j) = 76*j + 1. Let z be s(7). Calculate the greatest common divisor of w and z.", "a": "13" }, { "q": "Suppose -2*c + 7*c = 3*c + 44. Let y be 6/(-4)*(-6 + 0). Suppose -4*n + y*n - 880 = 0. What is the highest common divisor of n and c?", "a": "22" }, { "q": "Let k = 4546 + -4376. Calculate the greatest common factor of k and 748.", "a": "34" }, { "q": "Let u be 142*2 - (15 - 10). Suppose -5*w + u = -141. What is the greatest common divisor of 63 and w?", "a": "21" }, { "q": "Suppose -f - 40 - 6 = -n, -5*f = -n + 26. Let v(s) = -7*s - 11. Let a be v(-4). Calculate the greatest common factor of a and n.", "a": "17" }, { "q": "Let m be (-7)/((-28)/(-16)) + -4 + 2. Let b be (-16)/12 - 128/m. What is the greatest common factor of b and 20?", "a": "20" }, { "q": "Let z(c) = -2*c**3 + 11*c**2 - 18*c + 176. Let f be z(6). Calculate the greatest common factor of f and 120.", "a": "8" }, { "q": "Suppose 0 = -5*q - 26 - 4. Let b be (0 - (-3)/(-2))/(q/296). Let m = b + 28. Calculate the greatest common divisor of m and 68.", "a": "34" }, { "q": "Let f = 2669 + -2631. Calculate the highest common divisor of 1862 and f.", "a": "38" }, { "q": "Let c be ((-47)/(-3))/((-23)/(-138)). Let b = c - -1. Calculate the greatest common factor of b and 19.", "a": "19" }, { "q": "Suppose 0 = -5*g + 443 + 157. Suppose 2*u - g = -2*u. Calculate the highest common divisor of 6 and u.", "a": "6" }, { "q": "Let k(i) = -3*i - 58. Let p = 187 - 207. Let q be k(p). Calculate the greatest common divisor of 8 and q.", "a": "2" }, { "q": "Let l be (-8)/20 - 470/(-50). Suppose 2244 = l*m + 8*m. Calculate the greatest common divisor of m and 44.", "a": "44" }, { "q": "Let l be ((-29)/3)/(2/(-6)). Let o be (-1)/(-2)*463 + (-4)/(-8). Calculate the greatest common divisor of l and o.", "a": "29" }, { "q": "Let b be (-1 - 167/(-1)) + 0. Let m = -129 + b. What is the highest common divisor of m and 333?", "a": "37" }, { "q": "Let y(q) be the first derivative of 5*q**2/2 - 40*q - 57. Let d be y(12). Calculate the greatest common factor of d and 60.", "a": "20" }, { "q": "Let k = 3299 - 3219. Let v = 164 - 100. Calculate the greatest common factor of v and k.", "a": "16" }, { "q": "Suppose -4 + 0 = 2*j. Let x be ((-8)/(-6))/(j/(-30)). Let l(o) = 9*o**3 - 2*o**2 - 8*o + 6. Let u be l(1). What is the greatest common factor of x and u?", "a": "5" }, { "q": "Suppose 5*r - 3 = r + 49. Calculate the greatest common divisor of r and 3653.", "a": "13" }, { "q": "Let q(r) = 67*r - 4. Let s be q(1). Suppose 0 = -47*m + 38*m + s. What is the highest common divisor of 1 and m?", "a": "1" }, { "q": "Let i = -3279 + 5017. Calculate the greatest common factor of 22 and i.", "a": "22" }, { "q": "Suppose 4*y - 9 = 7. Let p be (-1 - 4)*((-12)/(-10) + -2). Suppose -25 - 7 = -5*g + 3*v, 0 = p*g - v - 20. Calculate the highest common factor of y and g.", "a": "4" }, { "q": "Let q(n) = 18*n**3 - 3*n**2 + 2*n. Let i(y) = -9*y + 55. Let p be i(6). Let v be q(p). Calculate the highest common divisor of v and 68.", "a": "17" }, { "q": "Suppose k = 5 + 1. Suppose 2 = -9*t + 20. Suppose 0 = -2*p + p - t*o + 4, 4*o + 22 = 3*p. Calculate the highest common divisor of k and p.", "a": "6" }, { "q": "Let a be 22/(-2)*-1*1. Let g = -12553 + 12630. What is the highest common factor of a and g?", "a": "11" }, { "q": "Suppose 4*w = 2*q - 162, -2*q + 7*q - 405 = -2*w. Let z be 29/2 + 140/(-240)*-6. What is the greatest common divisor of q and z?", "a": "9" }, { "q": "Suppose -5 = -5*n, -2*y + 3 = -5*y + 3*n. Suppose 3*s - 180 - 618 = y. Calculate the greatest common divisor of s and 38.", "a": "38" }, { "q": "Suppose -5*q - 18 - 152 = 0. Let b = -32 - q. Let x be 12/(-20)*(-60)/b. What is the highest common factor of 126 and x?", "a": "18" }, { "q": "Let u be (0 + 1)/(2/12). Let z be (-3)/(u/(-4) + 1). Suppose 44*w - 1289 - 1765 + 942 = 0. What is the greatest common factor of w and z?", "a": "6" }, { "q": "Let j be (-2)/((-4)/126) - -1. Let w(t) = t**3 - 4*t**2 - 2*t - 37. Let g be w(7). What is the greatest common divisor of g and j?", "a": "32" }, { "q": "Let a = 3152 - 2283. Calculate the greatest common factor of 33 and a.", "a": "11" }, { "q": "Let z(d) = -2*d**2 + 4*d + 33. Let p be z(4). What is the greatest common divisor of p and 5321?", "a": "17" }, { "q": "Let r(w) = -2678*w - 208. Let p be r(-1). What is the highest common divisor of p and 130?", "a": "130" }, { "q": "Let v(g) = -4*g**3 + 24*g**2 + 2*g - 6. Let j be v(6). Calculate the highest common divisor of 2838 and j.", "a": "6" }, { "q": "Let z(w) = 6*w**2 + 129*w - 13. Let y be z(-22). What is the highest common factor of y and 3392?", "a": "53" }, { "q": "Suppose -151*f + 17*f + 71154 = 0. Calculate the greatest common divisor of 81 and f.", "a": "9" }, { "q": "Let m(z) = -2*z**3 - z**2 - 2*z - 1. Let s be m(-1). Suppose 1043 = 5*j + 2*j. Let p = 151 - j. What is the highest common divisor of s and p?", "a": "2" }, { "q": "Let h(u) = -1 - 2*u - 6 - 4*u + 3 + u**3. Let s be h(6). What is the highest common divisor of s and 11?", "a": "11" }, { "q": "Let i(b) = 41*b + 864. Let s be i(-19). Calculate the greatest common divisor of 425 and s.", "a": "85" }, { "q": "Suppose -61693 = -15*i - 33*i + 80435. What is the greatest common factor of i and 63?", "a": "63" }, { "q": "Suppose 4*h = 4 + 44. Suppose -4*f - 64 = -3*a, -4*f = -10*a + h*a - 76. What is the greatest common factor of 112 and a?", "a": "28" }, { "q": "Suppose 104 = -8*x - 416. Let m be 30 - ((-1)/6 + x/(-30)). What is the highest common factor of m and 98?", "a": "14" }, { "q": "Let s = -193 - -203. Let z(t) = t + 29. Let k be z(s). Let d be 1 + -2 + 27/1. What is the highest common divisor of d and k?", "a": "13" }, { "q": "Let w(n) = -n**3 - 23*n**2 - 11*n + 26. Let y be 12/(-36) - 136/6. Let m be w(y). What is the greatest common factor of 9 and m?", "a": "9" }, { "q": "Suppose 140*x + 20 = 141*x. Calculate the greatest common divisor of 7520 and x.", "a": "20" }, { "q": "Let b = 4 - 6. Let h be 100*b/20*-4. Let m = 1516 - 1506. Calculate the highest common factor of m and h.", "a": "10" }, { "q": "Let o be ((-28)/(-7))/((-23)/(-6509)). What is the greatest common factor of 4 and o?", "a": "4" }, { "q": "Let j(m) = 5*m - 37. Let b be j(13). Let k(p) = -p**2 + 25*p + 90. Let r be k(b). What is the greatest common divisor of r and 4?", "a": "2" }, { "q": "Suppose 23*n - 19*n + 4*w = 384, -4*w + 96 = n. What is the highest common factor of 3 and n?", "a": "3" }, { "q": "Let a(g) = 24*g**2 + 6*g - 17. Let y = -138 - -141. Let x be a(y). Calculate the greatest common divisor of x and 31.", "a": "31" }, { "q": "Let r = 100 - 70. Let y be 0*(-8 - -4)/(-4). Let l(v) = v**2 + 5*v + 210. Let x be l(y). What is the highest common factor of x and r?", "a": "30" }, { "q": "Suppose -4*i = -4*v - 400, 0*i + v = 4*i - 388. Let w = -84 + i. Calculate the highest common divisor of 144 and w.", "a": "12" }, { "q": "Let k = 4855 - 1930. Calculate the greatest common divisor of 90 and k.", "a": "45" }, { "q": "Let f(a) = 32*a - 792. Let d be f(30). What is the highest common factor of d and 102?", "a": "6" }, { "q": "Let p = -499 - -795. Let x = 506 - p. Let b be (24/10)/((-4)/(-70)). What is the greatest common divisor of b and x?", "a": "42" }, { "q": "Let z = 0 + 6. Let h(u) = -4*u**2 + 38*u - 6. Let k be h(5). Let s = k + -18. What is the greatest common divisor of s and z?", "a": "6" }, { "q": "Let j be (-1)/7 + (-2)/(-14). Suppose 0 = 3*f - j*f + 138. Let g = -17 - f. Calculate the greatest common divisor of 29 and g.", "a": "29" }, { "q": "Suppose -5*i + 28 = -32. Suppose 1 = -3*f - 11. Let w(o) = -o + 8. Let m be w(f). What is the greatest common factor of i and m?", "a": "12" }, { "q": "Let l(b) = b**2 - 4*b - 5. Let p be l(-4). Suppose 66*s - 3912 - 12126 = 0. What is the highest common factor of p and s?", "a": "27" }, { "q": "Suppose -q - 4*u = -202, -3*q - 5*u = -327 - 244. Let n = q + -179. Let z be -27*((-4)/(-6))/(-2). Calculate the highest common divisor of n and z.", "a": "3" }, { "q": "Let u = 344 - 534. Let x = u + 220. What is the highest common divisor of 330 and x?", "a": "30" }, { "q": "Let i = 1044 - 1040. Calculate the highest common factor of i and 30.", "a": "2" }, { "q": "Let w be (-4)/((-96)/9) + 325/520. Calculate the highest common divisor of 243 and w.", "a": "1" }, { "q": "Let q(c) = 44*c - 571. Let u be q(13). Let t = 4 + -6. Let l(i) = -2*i - 2. Let f be l(t). What is the greatest common divisor of u and f?", "a": "1" }, { "q": "Let v(j) = 2*j**2 + 2*j + 72. Let t be v(-10). What is the greatest common factor of 336 and t?", "a": "84" }, { "q": "Let j be (-16)/(144/45) - (0 + -93). Calculate the greatest common factor of 396 and j.", "a": "44" }, { "q": "Let h = 10 + -10. Suppose -7*k + 2973 - 628 = h. What is the greatest common factor of k and 67?", "a": "67" }, { "q": "Suppose 23*t - 1288 = 16*t. Let n be (4/6)/(4/12). Let w be 23*(-1 + 0 + n). Calculate the greatest common divisor of w and t.", "a": "23" }, { "q": "Suppose 0 = -2*z - 0*z - 5*i + 210, -2*i = -4*z + 444. Suppose -49 + 55 = -3*v. Let m be (v - -4)/((-2)/(-10)). Calculate the greatest common factor of m and z.", "a": "10" }, { "q": "Suppose 27*l - 1705 = 22*l. Suppose 2*m + 325 - l = 0. What is the highest common factor of 1 and m?", "a": "1" }, { "q": "Suppose -11*y + 25 = -6*y. Suppose k + 223 = y*x, -165 = -3*x + 4*k - 38. Let s = x + -38. Calculate the greatest common divisor of 21 and s.", "a": "7" }, { "q": "Let g = -178 - -183. Let b(w) = -w**3 + 6*w**2 - 2*w + 5. Let x be b(g). What is the greatest common factor of x and 140?", "a": "20" }, { "q": "Suppose 3*i - 10*i + 174 = -631. Calculate the greatest common factor of i and 230.", "a": "115" }, { "q": "Suppose 0 = 2*z - 2*d - 68, -3*z + 27*d + 97 = 25*d. Let f = z + -20. Calculate the greatest common divisor of f and 207.", "a": "9" }, { "q": "Let t = 1219 + -1207. What is the greatest common divisor of 2340 and t?", "a": "12" }, { "q": "Let c = -342 + 181. Let g = c - -166. What is the highest common factor of 40 and g?", "a": "5" }, { "q": "Let a = 19 + -19. Suppose 0 = 3*l - 3*z + 15, a = 2*l - 0*l - 4*z + 16. Let k be 50/(-4)*((l - -2) + -2). Calculate the greatest common factor of 5 and k.", "a": "5" }, { "q": "Suppose -5*n - 4*t = 26, -3*n = -6*n - 5*t - 26. Let x be n/6 + (-1389)/(-9). What is the greatest common factor of x and 22?", "a": "22" }, { "q": "Suppose -5*q = -o - 22, -o - 3*q - 16 = 22. Let g = o + 42. Let h be 3*((-104)/(-12) - 2). What is the highest common factor of h and g?", "a": "10" }, { "q": "Suppose 0 = 3*x - 2*o + 12 - 85, x = -o + 21. Calculate the greatest common factor of x and 4531.", "a": "23" }, { "q": "Let r = 3442 + -9208. Let m be r/(-30) + (-3)/15. Calculate the greatest common divisor of m and 24.", "a": "24" }, { "q": "Let r be (-1)/(3 + 30/(-9) - 665/(-2058)). What is the highest common factor of r and 112?", "a": "14" }, { "q": "Let o = -4791 + 4906. Calculate the greatest common divisor of o and 10.", "a": "5" }, { "q": "Suppose -25 = -2*d + 2*q + 1537, 3*q = 0. What is the greatest common factor of 284 and d?", "a": "71" }, { "q": "Suppose 3*r = 69 + 624. Suppose -u - 6*u - r = 0. Let a = u + 40. Calculate the greatest common factor of 49 and a.", "a": "7" }, { "q": "Suppose -4*a + 25 = 9. Suppose -12 = a*b + 3*l, 12 = -5*b + b - 2*l. Let w be b/((-22)/(-12) - 2). What is the greatest common factor of w and 126?", "a": "18" }, { "q": "Let a(d) = 3*d**2 - 41*d + 140. Let i be a(4). What is the greatest common divisor of i and 552?", "a": "24" }, { "q": "Let z(y) = -y**2 - 3*y + 1. Let p be z(-2). Suppose q + p*d = 206, -2*q + 7*d + 423 = 2*d. Calculate the greatest common factor of 19 and q.", "a": "19" }, { "q": "Suppose 4*f + 38 = -10. Let r be (-3 - (0 - (-28)/f))*306. Let n be (3/(-9))/(4/r). Calculate the highest common divisor of n and 119.", "a": "17" }, { "q": "Suppose 0 = -13*o + 4064 + 36224 + 3470. What is the greatest common factor of 594 and o?", "a": "198" }, { "q": "Suppose 5*f + 23 = -2*u + 4*u, u - 8 = -f. Let l(i) = 266*i - 1826. Let d be l(7). Calculate the greatest common divisor of d and u.", "a": "9" }, { "q": "Let w = 407 + -279. Suppose 2*j = 4*f - 6, 3*j = 3*f - 6*f + 18. Suppose i = j*a + 13 - 66, -a + 3*i = -31. What is the greatest common divisor of a and w?", "a": "16" }, { "q": "Let r = 13550 - 13520. Let x(p) = p**3 + 4*p**2 - 5*p - 3. Let c be x(-4). Suppose 0 = -3*h + 1 + c. What is the highest common divisor of r and h?", "a": "6" }, { "q": "Let t(d) = -111*d - 1307. Let v be t(-12). Calculate the greatest common divisor of v and 1475.", "a": "25" }, { "q": "Let a(y) = -y**3 - 5*y**2 + 21*y + 74. Let s be a(-8). Calculate the greatest common divisor of s and 3.", "a": "1" }, { "q": "Let c(x) = -62*x - 867. Let u be c(-14). What is the highest common divisor of u and 2?", "a": "1" }, { "q": "Let h(p) = -40 + 234*p + 240*p - 465*p. Let g be h(6). Calculate the greatest common divisor of 4 and g.", "a": "2" }, { "q": "Let l be -10 + (13 - 3 - -275). What is the greatest common divisor of l and 125?", "a": "25" }, { "q": "Let i = 159 - 110. Let n be 35/i*(-7)/(-2)*10. What is the greatest common divisor of n and 175?", "a": "25" }, { "q": "Let d be (-2 - 14/(-6)) + 518/111. What is the greatest common factor of 2995 and d?", "a": "5" }, { "q": "Suppose 96 = 4*i - 0. Suppose -11*w + 5*w = i. Let h be ((-12)/10)/(3*w/40). Calculate the greatest common factor of 20 and h.", "a": "4" }, { "q": "Let d be 7/7*(2 + 35). Let y be (-2)/(-18) + 17976/54. What is the highest common factor of d and y?", "a": "37" }, { "q": "Let s(u) = 6*u - 2. Let v be s(4). Let a = 15959 - 15957. What is the greatest common factor of a and v?", "a": "2" }, { "q": "Let a(h) = 6*h**2 - 2*h - 158. Let s be a(7). Calculate the greatest common divisor of s and 793.", "a": "61" }, { "q": "Suppose -2*z - 5*n + 1315 = 127, -2376 = -4*z - 5*n. Let d = -297 + z. Calculate the greatest common divisor of d and 27.", "a": "27" }, { "q": "Suppose 680 = 6*f - 2*f. Suppose -50 = -154*a + 149*a. Calculate the greatest common factor of f and a.", "a": "10" }, { "q": "Let p be (-3)/(9/(-6))*(-18620)/(-95). What is the greatest common factor of 637 and p?", "a": "49" }, { "q": "Let q be 4/8 - (-27125)/62. Calculate the highest common factor of q and 18.", "a": "6" }, { "q": "Let c be -3 + (5 - 1) - -34. Suppose 5*w - c = -b, -2*w + 2*b - 6*b = -32. Let q(f) = f + 2. Let p be q(w). Calculate the greatest common divisor of p and 64.", "a": "8" }, { "q": "Let u(f) = -f**3 - 7*f**2 - 1. Let o be u(-7). Let l be (0 + (-2 - -2))*1/o. Suppose i - 14 + 6 = l. Calculate the greatest common divisor of i and 20.", "a": "4" }, { "q": "Let n be 9/12 - (-4069)/52. Calculate the greatest common divisor of 4661 and n.", "a": "79" }, { "q": "Let q = -655 - -679. Calculate the highest common factor of q and 1592.", "a": "8" }, { "q": "Let q(x) = 14*x + 70. Let z be q(3). Suppose n = 1, 4*n + 89 = 4*h - 19. Calculate the greatest common factor of h and z.", "a": "28" }, { "q": "Let c = -22 - -4. Let l be c*-2*5/10. Calculate the highest common factor of l and 36.", "a": "18" }, { "q": "Let s be (-2)/((-12)/93)*2. Let n be ((-40)/(-140))/((-3)/42*-2). Suppose d + n = s. Calculate the greatest common factor of 319 and d.", "a": "29" }, { "q": "Suppose 0 = -4*n + 21*n + 238. Let u be 3/7 - 0 - 610/n. What is the highest common divisor of u and 176?", "a": "44" }, { "q": "Let z be (5120/(-288))/(4/(-18)). Calculate the greatest common factor of z and 180.", "a": "20" }, { "q": "Let m(o) = o**3 - 21*o**2 + 44*o - 95. Let p be m(19). Calculate the greatest common divisor of 57 and p.", "a": "19" }, { "q": "Suppose 31*n - 2*n - 9472 = -35*n. Calculate the greatest common factor of 32 and n.", "a": "4" }, { "q": "Let l(t) = 19*t + 63. Let p be l(-3). Let o be 4 + p*((-170)/(-15))/1. What is the greatest common factor of o and 8?", "a": "8" }, { "q": "Let b be 7 + (178 - (-33)/3). What is the greatest common divisor of b and 7252?", "a": "196" }, { "q": "Suppose -4*b + 123 - 235 = -4*s, 2*s - b - 56 = 0. Suppose 0 = -a + 217 - 21. What is the greatest common factor of s and a?", "a": "28" }, { "q": "Let s(n) = n - 10. Let k be s(11). Let m be 26/k - 2/(-5 - -3). Suppose m = o + 2*o. What is the greatest common divisor of 1 and o?", "a": "1" }, { "q": "Let i be 20/150 + (-128)/60. Let j be (-17 + 1)*(i + (-8)/(-8)). Calculate the highest common factor of j and 16.", "a": "16" }, { "q": "Let d = -179 + 185. Suppose -168 = d*y - 10*y. What is the highest common factor of y and 63?", "a": "21" }, { "q": "Suppose 0 = -10*s + 6*s - 84. Let n be (10 - 11) + (-2 - s). Let f(h) = h**3 + 7*h**2 - 2*h - 5. Let j be f(-7). What is the greatest common factor of j and n?", "a": "9" }, { "q": "Let r = 116 - 49. Suppose r = 4*o - 3*o. Let p = o + -35. Calculate the highest common factor of 4 and p.", "a": "4" }, { "q": "Suppose -p + 0*p + 230 = 0. Suppose 0 = -5*v + 7*v - p. Let f = v - 35. What is the greatest common factor of 32 and f?", "a": "16" }, { "q": "Suppose 57*m + 70 = 124*m - 62*m. Let h be (-1)/(1 - 2) + -1. Suppose h = -2*s - 2*s + 224. What is the highest common factor of s and m?", "a": "14" }, { "q": "Let t be (-34)/(0 + -1 + -1). Let k(f) = -f**2 - 174*f - 2928. Let p be k(-19). Calculate the greatest common factor of t and p.", "a": "17" }, { "q": "Let o be 220/18 + 14/(-63). Let t(a) = -o*a - 2*a + 6 - 3 - 4. Let c be t(-1). What is the highest common factor of 13 and c?", "a": "13" }, { "q": "Suppose -79*z + 15 = -76*z, z - 4977 = -2*t. Calculate the greatest common factor of t and 22.", "a": "22" }, { "q": "Let w(f) = f**3 + f**2 - f - 1. Let n(j) = -35*j**2 + 35*j - 44. Let r(l) = -n(l) - w(l). Let p be r(33). Calculate the greatest common divisor of 96 and p.", "a": "12" }, { "q": "Let x = 4478 + -4149. Calculate the greatest common divisor of x and 376.", "a": "47" }, { "q": "Let g be 4/10 + (-1999221)/(-1085). Calculate the highest common factor of g and 97.", "a": "97" }, { "q": "Suppose 6*m = -m + 406. Let s = m + -44. Let x be ((-6)/10)/((-3)/105). Calculate the highest common divisor of x and s.", "a": "7" }, { "q": "Suppose -5*m + 11*m = 24. Let y(c) = -4 - 6 - c - c**3 + c + 4*c**2 + 3*c. Let g be y(m). Calculate the greatest common factor of 22 and g.", "a": "2" }, { "q": "Let r be (-8)/((-11)/3 + 3). Let z = r + -2. Let x be (74/z - 6/15)*3. Calculate the greatest common factor of 7 and x.", "a": "7" }, { "q": "Suppose z - 362 = -o + 2*o, -z = 3*o - 342. What is the highest common divisor of z and 102?", "a": "51" }, { "q": "Let y(u) = -12*u - 28. Let n be (-2023)/(-49) + 4/(-14). Let i = 32 - n. Let t be y(i). Calculate the greatest common divisor of t and 10.", "a": "10" }, { "q": "Let y(k) = -k**2 + 13*k. Let o be y(6). Let w(h) = -14 + 8 + h + h**3 + 2. Let f be w(2). Calculate the greatest common factor of o and f.", "a": "6" }, { "q": "Let x be (0/(-2) + -19)/(5/(-65)). What is the greatest common divisor of 133 and x?", "a": "19" }, { "q": "Let h = 38 - 28. Suppose h = -0*r - r. Let p = r + 24. Calculate the highest common factor of p and 112.", "a": "14" }, { "q": "Suppose 5*b - 10 = 0, 5*j - 532 = 3*j + 4*b. Let n be (-1 + 7)*60/8. Suppose n = q + 5*f, 4*f - 4 = 8. Calculate the highest common divisor of j and q.", "a": "30" }, { "q": "Suppose 9*v = 10*v + 14*v - 105. Calculate the highest common divisor of v and 4396.", "a": "7" }, { "q": "Let t = -43 + 45. Let l = -8 + t. Let r = l + 10. Calculate the highest common factor of 28 and r.", "a": "4" }, { "q": "Let v(q) = -q**2 - 41*q - 368. Let i be v(-25). Calculate the highest common divisor of i and 2656.", "a": "32" }, { "q": "Let t = -3647 + 3719. What is the highest common divisor of t and 882?", "a": "18" }, { "q": "Let o(d) = 605 - 11*d - 633 + 6*d. Let s be o(-12). What is the highest common factor of 176 and s?", "a": "16" }, { "q": "Let h(n) be the first derivative of n**2 - 2*n + 13. Let t be h(6). Let w be (1 - (-6 - 3))/2. Calculate the highest common factor of w and t.", "a": "5" }, { "q": "Suppose -y + 2*n + 93 = 0, 2*y + 2*n - 195 = 3*n. What is the greatest common divisor of y and 9?", "a": "9" }, { "q": "Let d be -2*((-49)/70 - 2/(-10)). Let r be 16/(-8)*(d - (137 + -4)). Let m be 1*-1*1 - -34. What is the highest common factor of r and m?", "a": "33" }, { "q": "Let y be (-2 - 89620/(-8))*(-4)/(-6). Calculate the greatest common factor of y and 57.", "a": "57" }, { "q": "Let j(b) = 57*b**2 + 4*b + 3. Let q be j(-1). Let z(i) = 17*i**2 + 11*i + 10. Let d be z(-2). What is the highest common divisor of q and d?", "a": "56" }, { "q": "Let f(s) = 6*s + 24. Let y be f(3). Suppose 0 = 2*q - 0*q - y. Calculate the highest common divisor of q and 7.", "a": "7" }, { "q": "Let q = -214 + 216. Let y be 44 - 1 - q/2. What is the highest common factor of y and 105?", "a": "21" }, { "q": "Let d = -30 + 56. Suppose -27*c + d*c + 5 = 0. Suppose -c*q + 13 + 32 = 0. What is the highest common divisor of q and 45?", "a": "9" }, { "q": "Let z be (-56)/70 - (-3186)/45. Calculate the highest common factor of 168 and z.", "a": "14" }, { "q": "Let k be (-1 + -32)*70/(-14). Suppose -8*r + 2005 = k. Calculate the highest common factor of 23 and r.", "a": "23" }, { "q": "Let o(q) = -651 + 2*q**2 + 1459 - 675. Let h be o(0). Calculate the greatest common divisor of h and 19.", "a": "19" }, { "q": "Suppose 0 = 4*g - 16, -u - 5*g + 25 = -0*u. Suppose 0*c - 25 = -u*c. Suppose -t - 1260 = -1261. Calculate the highest common factor of c and t.", "a": "1" }, { "q": "Suppose 3069 = -7*y + 6401. Calculate the greatest common factor of 28 and y.", "a": "28" }, { "q": "Let q be (-15 - -16)/(1*(-3)/(-6)). Suppose -k = 3*s - 3 - 23, -q*s = 5*k - 169. Calculate the greatest common divisor of 35 and k.", "a": "35" }, { "q": "Let x = 3930 - 3830. Calculate the greatest common divisor of 700 and x.", "a": "100" }, { "q": "Suppose 0 = 9*l + 114 + 48. Let t be (-2)/l - ((-124432)/(-36))/(-14). What is the greatest common factor of 19 and t?", "a": "19" }, { "q": "Let s(x) = 11*x**3 + x**2 - x - 1. Let g be s(-1). Let i be (-58)/g - (6 + 217/(-35)). Calculate the greatest common divisor of 3 and i.", "a": "3" }, { "q": "Let j(p) be the first derivative of -p**4/2 - 7*p**3/3 - 3*p**2 - 4*p + 12. Let q be j(-4). What is the greatest common divisor of q and 36?", "a": "36" }, { "q": "Let q(v) = 2*v**3 + 136*v**2 - 142*v + 108. Let f be q(-69). What is the highest common divisor of f and 40?", "a": "8" }, { "q": "Suppose -2*m + 3*a + 72 = 28, -2*a = -4*m + 80. Suppose -4*r = -r - 1026. What is the highest common factor of r and m?", "a": "19" }, { "q": "Let k(v) = 7*v + 17. Let c be k(0). Suppose 0 = -n + 5*n - 836. Suppose -n = -4*s + 2*d + 135, 3*d + 91 = s. Calculate the greatest common divisor of s and c.", "a": "17" }, { "q": "Suppose -4*g - 14 = 2, -34 = 3*h + g. Let i(d) = -6*d - 49. Let v be i(h). Calculate the highest common factor of 44 and v.", "a": "11" }, { "q": "Let j = -1232 + 1288. What is the greatest common factor of j and 100?", "a": "4" }, { "q": "Let a = -48 + 68. Let b(j) = -24*j**3 + 2*j**2 - 2*j + 1. Let t be b(1). Let k = 117 - t. Calculate the highest common divisor of a and k.", "a": "20" }, { "q": "Let i be (15 - 13) + -12 - -22. Calculate the greatest common divisor of i and 368.", "a": "4" }, { "q": "Let l(h) = h + 483. Let m be l(27). What is the greatest common divisor of 3 and m?", "a": "3" }, { "q": "Let k be (384/240)/(1*(-1)/(-45)). What is the highest common divisor of k and 5112?", "a": "72" }, { "q": "Suppose -1 = -v, 7*x + 3*v = 5*x + 243. What is the highest common factor of x and 1480?", "a": "40" }, { "q": "Suppose -23*s = 34 + 35. Suppose 4*w - 137 = 23. Let j be (18*4/(-6))/(s/w). Calculate the highest common factor of j and 20.", "a": "20" }, { "q": "Let a be (-32)/96 + (-7)/(-3). Suppose -a*c = -2*n + 2 + 24, 0 = 5*n + 5*c - 85. Calculate the highest common factor of n and 15.", "a": "15" }, { "q": "Suppose 4*k - 50 = -3*w + 43, 114 = 3*w - 3*k. Suppose 0 = 31*x - w*x + 16. What is the greatest common divisor of 36 and x?", "a": "4" }, { "q": "Let n = 1728 + -1698. What is the highest common factor of 1065 and n?", "a": "15" }, { "q": "Let u(m) = 2*m**2 + 58*m + 247. Let g be u(-31). What is the highest common factor of g and 7?", "a": "7" }, { "q": "Suppose 836 = -16*b + 18*b. Suppose 16*q - b = 30. Calculate the highest common divisor of 7 and q.", "a": "7" }, { "q": "Let r(q) = -4*q**2 - 354*q - 68. Let h be r(-88). What is the highest common divisor of h and 96?", "a": "12" }, { "q": "Suppose 398 = 4*n - 2*b, -4*b = -4*n - 180 + 576. Let z be ((-10)/4)/(1/(-16)). Calculate the highest common factor of z and n.", "a": "20" }, { "q": "Let u(i) be the second derivative of -i**4/4 + 16*i**3/3 + 3*i**2 + 2*i + 17. Let f be u(10). What is the highest common factor of 169 and f?", "a": "13" }, { "q": "Let y(n) = -2*n**2 - 11*n + 44. Let z be y(4). Let w be 8/z - (-122)/8. Calculate the greatest common divisor of w and 5.", "a": "5" }, { "q": "Suppose -7*y + 12*y = -5*h + 3315, -3*h - y = -1991. Calculate the greatest common factor of 830 and h.", "a": "166" }, { "q": "Suppose -109 = 3*i - 511. Suppose 10*g - 136 = i. Suppose -2*v - v = -405. What is the highest common divisor of g and v?", "a": "27" }, { "q": "Suppose -7*a + 2049 = 1874. Let d be (4 + 1)*(-1 - -2). Let n be (4/d)/((-2)/(-25)). Calculate the greatest common factor of n and a.", "a": "5" }, { "q": "Let f = 15411 + -15383. Suppose 3*i = -4*h + 172, -177 = -4*i - 3*h + 50. What is the highest common factor of i and f?", "a": "28" }, { "q": "Let t be (3/3)/(2/76). Suppose -3*o = -173 + t. What is the highest common divisor of 9 and o?", "a": "9" }, { "q": "Let o(y) = -y**3 + 10*y**2 - 6*y + 18. Let c be o(8). Suppose -r = -472 + c. Calculate the highest common factor of 34 and r.", "a": "34" }, { "q": "Let h be 6*(-9)/(-2)*1. Suppose 56*q - 55*q + 5*z - 45 = 0, 2*q = -5*z + 60. Calculate the highest common divisor of h and q.", "a": "3" }, { "q": "Let r(b) = 2*b**2 + 78*b + 156. Let z be r(-37). Calculate the greatest common divisor of z and 672.", "a": "8" }, { "q": "Let w be ((-2418)/(-248))/(6/8). Suppose 0 = -3*t - 5*l + 522, -121 - 229 = -2*t - 4*l. What is the greatest common divisor of w and t?", "a": "13" }, { "q": "Let w be (-4)/(-26) + 280/(-1300)*-445. Calculate the highest common divisor of 688 and w.", "a": "16" }, { "q": "Let s(p) = -20*p**2 - 9*p + 4. Let z be s(2). Let o = -82 - z. Calculate the greatest common divisor of o and 8.", "a": "4" }, { "q": "Let p = 22 - -34. Let a = -92 - -95. Suppose -3*d = -n - 45, -a*n - 41 = -4*d - 8*n. Calculate the highest common divisor of p and d.", "a": "14" }, { "q": "Suppose 2*l + 18 = 4*s, 4*l = 7*l - 5*s + 22. Let b be l*5/2*(15 + -5). Calculate the greatest common factor of b and 25.", "a": "25" }, { "q": "Let n(j) = 2*j**3 + 79*j**2 - 21*j + 299. Let f be n(-38). Calculate the highest common factor of 89 and f.", "a": "89" }, { "q": "Suppose p + 3*c = -12, 0 = -p - p + 2*c + 16. Let f(b) = 24*b - 2. Let n be f(p). What is the greatest common factor of 56 and n?", "a": "14" }, { "q": "Suppose 0 = -7*u + 203 + 483. What is the greatest common divisor of 1813 and u?", "a": "49" }, { "q": "Suppose -12 = -t + 3*g, -18 = 3*t - g - 78. Calculate the highest common factor of t and 455.", "a": "7" }, { "q": "Let q = 4814 + -3114. Calculate the greatest common factor of q and 200.", "a": "100" }, { "q": "Suppose -77*k + 14832 + 35834 = 0. Calculate the highest common divisor of 1034 and k.", "a": "94" }, { "q": "Let i = 8 - 0. Let k be 69/138 - 207/(-2). Calculate the greatest common divisor of i and k.", "a": "8" }, { "q": "Let i = -70 - -75. What is the highest common factor of i and 1725?", "a": "5" }, { "q": "Suppose -91 = 4*z - 19. Let q be ((-12)/z)/((-1)/(-51)). Suppose v - 8 - q = 0. Calculate the greatest common divisor of v and 105.", "a": "21" }, { "q": "Let l(q) = q**3 + 6*q**2 - 29*q - 66. Let c be l(-8). What is the greatest common divisor of 475 and c?", "a": "19" }, { "q": "Let x(c) = c**2 + 28*c + 52. Let r be x(-8). Let b = r + 156. What is the greatest common factor of b and 4?", "a": "4" }, { "q": "Suppose -11*y + 6 + 709 = 0. Let n be (7 - 2)/25*y. What is the greatest common factor of n and 416?", "a": "13" }, { "q": "Let q = 4445 + -4030. Calculate the greatest common factor of 747 and q.", "a": "83" }, { "q": "Let t = 421 - 301. Suppose -5*h + 8*h - t = 0. Calculate the highest common divisor of h and 20.", "a": "20" }, { "q": "Suppose 0 = -4*b + 56 - 4. Let m(c) = 9*c - 57. Let d be m(b). What is the greatest common divisor of 45 and d?", "a": "15" }, { "q": "Let y(i) = -i**2 + 3*i - 1. Let f be y(3). Let g be (2 + f)/((-21)/609). Let u be 30 + g - (-21 + 1). Calculate the highest common factor of 7 and u.", "a": "7" }, { "q": "Let j be 5/((-100)/85) + 2/8. Let v be j + (3 - 0 - -36). What is the greatest common divisor of 35 and v?", "a": "35" }, { "q": "Let p = 63 - 27. Let q be (74 - 0/1) + (-16)/8. Let d = 96 - q. Calculate the highest common factor of d and p.", "a": "12" }, { "q": "Let h = 124 + -94. Let j be (h/(-9))/((-20)/24). Calculate the highest common factor of j and 44.", "a": "4" }, { "q": "Let s be (570/(-20))/(2/8). Let i be s/(-15) - 4/(-10). Suppose -5*b + 78 = -2*n, -2*n + 50 = -2*b + 5*b. What is the greatest common divisor of b and i?", "a": "8" }, { "q": "Suppose 0 = -74*f - 14264 + 81604. What is the greatest common factor of f and 52?", "a": "26" }, { "q": "Let k = 31 + -40. Let d be ((-6)/k)/(2/204*4). Calculate the greatest common divisor of d and 221.", "a": "17" }, { "q": "Suppose 5*z + 2*d = 226, -18 - 34 = -z + 3*d. What is the highest common divisor of 2323 and z?", "a": "23" }, { "q": "Let g(a) = a**3 + 25*a**2 - 26*a - 36. Let w be g(-26). Let f be (w/(-10))/(12/60). Calculate the greatest common factor of f and 45.", "a": "9" }, { "q": "Let d(m) = 25*m + 485. Let h be d(38). Calculate the highest common factor of 82 and h.", "a": "41" }, { "q": "Let a(q) = -q**2 + 46*q + 54. Let d be a(46). What is the highest common factor of d and 2358?", "a": "18" }, { "q": "Let d(w) = -2*w - 34. Let q be d(-19). Suppose -q*p - 5*y = -43 + 7, -2*y - 22 = -p. Calculate the greatest common factor of p and 182.", "a": "14" }, { "q": "Suppose 11*w - 378 = -4*l + 9*w, -4*l + 358 = -2*w. Calculate the highest common divisor of l and 828.", "a": "92" }, { "q": "Let i be ((2 - (-12)/(-8)) + 175)/(72/2208). What is the highest common divisor of i and 138?", "a": "138" }, { "q": "Let u(f) = 5*f**3 - f**2. Let l be u(2). Let x = 2514 - 2226. What is the highest common divisor of x and l?", "a": "36" }, { "q": "Let y be (-2)/2 + 73/1. Let x(r) = r**3 - 14*r**2 - 403*r + 5829. Let h be x(15). What is the highest common factor of h and y?", "a": "9" }, { "q": "Let k = -1254 + 1410. What is the highest common factor of 4212 and k?", "a": "156" }, { "q": "Suppose 9544 - 2290 = 31*v. Calculate the greatest common factor of 96 and v.", "a": "6" }, { "q": "Suppose 0 = g - 0*g + 9. Suppose -117*a + 2550 = -32*a. Let z be (a/7)/(g/(-42)). Calculate the highest common factor of z and 30.", "a": "10" }, { "q": "Suppose 211*a - 13095 = -3178. What is the greatest common divisor of a and 94?", "a": "47" }, { "q": "Let n(h) = h**3 - 12*h**2 + 9*h + 5. Let f be n(9). Let g = f + 162. Calculate the highest common factor of g and 25.", "a": "5" }, { "q": "Let b = -28 - -64. Let z = 80 - b. Suppose -4*k = -9*k + 55. Calculate the greatest common divisor of z and k.", "a": "11" }, { "q": "Let r = -3603 + 3631. Suppose k = 26 + 44. Calculate the highest common divisor of r and k.", "a": "14" }, { "q": "Let c = 14508 - 7335. Calculate the highest common factor of c and 9.", "a": "9" }, { "q": "Let v(r) = r**2 - 3*r - 23. Let b be v(7). Suppose 3*a + 56 = b*a. Suppose 43 - 113 = -5*f. Calculate the highest common divisor of a and f.", "a": "14" }, { "q": "Suppose -125*z + 120*z = -3*o - 2796, 0 = -2*o + 6. Calculate the greatest common divisor of z and 66.", "a": "33" }, { "q": "Suppose -5*u + 17*u - 9356 = -2*v, -2345 = -3*u - 2*v. What is the greatest common divisor of u and 38?", "a": "19" }, { "q": "Suppose 0*g = -g + 18. Let h(q) = 48*q**2 + 54*q + 92 - 47*q**2 - 93*q. Let r be h(37). Calculate the highest common divisor of r and g.", "a": "18" }, { "q": "Let o = 42 - 6. Let g = o - 4. Suppose 0*y + 2*y = 32. What is the highest common divisor of y and g?", "a": "16" }, { "q": "Let y(l) = -l**2 + 36. Let j be y(0). Let v = -23 + j. Let h be (13 + 0)/((-3)/(4 + -7)). What is the greatest common factor of h and v?", "a": "13" }, { "q": "Let x(a) = 14*a + 5. Let f be x(5). Suppose 67*w - 3661 = -646. Calculate the highest common factor of f and w.", "a": "15" }, { "q": "Let n = -170 + 197. Let d(b) = -b**3 - 3*b**2 + 3*b - 1. Let x be d(-4). Suppose x*l = -l + 36. Calculate the greatest common factor of n and l.", "a": "9" }, { "q": "Suppose -3*h - 55 + 332 = 5*k, k = -4*h + 52. Calculate the highest common factor of k and 658.", "a": "14" }, { "q": "Let x(y) = -3*y + 41. Suppose -11*n + 110 = -0*n. Let d be x(n). Calculate the highest common factor of 121 and d.", "a": "11" }, { "q": "Suppose -13*h + 420 = 2*v - 16*h, -3*v - 4*h = -647. Calculate the highest common divisor of 12 and v.", "a": "3" }, { "q": "Suppose 13922 = 40*j - 1198. Calculate the greatest common factor of 342 and j.", "a": "18" }, { "q": "Let o = -3435 + 3729. What is the highest common factor of o and 2450?", "a": "98" }, { "q": "Let l be (-16)/(-72) - (-239372)/126. What is the highest common factor of 285 and l?", "a": "95" }, { "q": "Suppose -7*g - 73 = -948. What is the greatest common factor of 1075 and g?", "a": "25" }, { "q": "Let l = 171 - 177. Let v be 4*l/(-30) - (-212)/10. Suppose -2*f + 4*u = 4, -3*f = -0*f + 5*u - 16. Calculate the greatest common factor of f and v.", "a": "2" }, { "q": "Let d be 73/(-1 + -1 + 1). Let r = d - -112. Suppose -5*j = -0*j - 65. What is the greatest common factor of r and j?", "a": "13" }, { "q": "Suppose -19*j - 246 = -9*j - 726. What is the greatest common divisor of j and 256?", "a": "16" }, { "q": "Let t(n) = -n - 5. Let u be t(-6). Let z be (-10 - -7)*205/(-15). Suppose -k = -2*q + 9, q + z = 4*q + 4*k. Calculate the greatest common factor of q and u.", "a": "1" }, { "q": "Let b(m) = 2*m + 28. Let f be b(-12). Suppose f*i = 18*i - 98. What is the greatest common divisor of 28 and i?", "a": "7" }, { "q": "Suppose 2*f - 3*z - z - 4 = 0, 5*f = -5*z + 10. Calculate the highest common factor of 1262 and f.", "a": "2" }, { "q": "Let j(x) = -3*x**3 - 2*x**2 - 3*x - 1. Let t be j(-1). Let b be t + -9 - 26*-1. Calculate the highest common factor of 160 and b.", "a": "20" }, { "q": "Let n(x) be the first derivative of -x**3/3 + x**2/2 + 13*x + 42. Let s be n(0). Calculate the greatest common divisor of 1 and s.", "a": "1" }, { "q": "Suppose 0 = -25*c - 358*c + 6699 + 195. Let v be 272/3 - (-6)/(-9). Calculate the greatest common divisor of c and v.", "a": "18" }, { "q": "Let i(d) = 4*d**2 - 2*d - 145. Let j be i(-27). Calculate the greatest common divisor of j and 226.", "a": "113" }, { "q": "Let d(r) = 40*r + 814. Let g be d(-17). Calculate the greatest common factor of g and 3.", "a": "1" }, { "q": "Let x be (-3)/((-36)/16) - (-8)/12. Suppose -v - 4*w = 7 + 12, x*w = v - 11. Suppose 3*o + 0*o - 3 = 0. What is the greatest common divisor of v and o?", "a": "1" }, { "q": "Let q be (-69)/2*(-16)/(-12). Let p = 50 - 90. Let r = p - q. Calculate the highest common factor of 48 and r.", "a": "6" }, { "q": "Let c(l) = 4 - 1483*l**2 + 7 + 1477*l**2 + 14*l - l**3. Let f be c(-8). Calculate the highest common divisor of f and 9.", "a": "9" }, { "q": "Let z(r) be the third derivative of r**5/60 - 11*r**4/24 - 5*r**3/3 - r**2. Let t be z(11). Let c = t - -14. Calculate the greatest common factor of 4 and c.", "a": "4" }, { "q": "Let b(p) = p**3 - 55*p**2 + 113*p - 361. Let t be b(53). Suppose 2*w - 59 + 9 = -5*a, -2*a + 20 = -3*w. What is the greatest common factor of a and t?", "a": "10" }, { "q": "Let a(q) = 13*q**2 + 35*q + 32. Let c be a(-1). Let f be (4 - 0)*(-4)/(-2). Let j = c - f. Calculate the highest common factor of 4 and j.", "a": "2" }, { "q": "Suppose -266910 = -94*a + 14*a - 2*a. Calculate the highest common divisor of a and 155.", "a": "155" }, { "q": "Let p be ((-4)/5)/((-4)/10). Suppose -p*b - 3*a + 18 = -a, -5 = -b - 5*a. Calculate the greatest common divisor of 2 and b.", "a": "2" }, { "q": "Let t be (-20)/(-3)*168/32. Let z(n) = 11*n - t + 33 - 5*n. Let k be z(2). Calculate the highest common divisor of 10 and k.", "a": "10" }, { "q": "Suppose -6192 = -7*n + 4*n. Suppose 22*m = 2050 + n. What is the greatest common divisor of m and 34?", "a": "17" }, { "q": "Let t = -605 + 880. Let q(x) = x**3 - 22*x**2 - 277*x - 51. Let d be q(31). Calculate the greatest common divisor of t and d.", "a": "11" }, { "q": "Let d = -2 + 5. Suppose d*o - 18 = -9, 0 = 3*p + 2*o - 24. Let j(a) = 3*a**2 + 5*a - 3. Let i be j(p). What is the highest common factor of i and 54?", "a": "27" }, { "q": "Suppose 129*o - 54*o - 11700 = 0. Calculate the greatest common divisor of 663 and o.", "a": "39" }, { "q": "Let i = 586 + -506. What is the highest common divisor of i and 10?", "a": "10" }, { "q": "Suppose 3*s + 28 = -50. Let n be -3*6/117 - 1018/s. Suppose 12 = t - 1. Calculate the greatest common factor of n and t.", "a": "13" }, { "q": "Let b(s) = -s**2 + 9*s + 514. Let u be b(-18). Calculate the greatest common factor of 4 and u.", "a": "4" }, { "q": "Suppose -3*j - 12*b + 1485 = -14*b, -2*j - 2*b = -990. Suppose -51*d + 56*d = j. What is the greatest common factor of d and 9?", "a": "9" }, { "q": "Suppose -u + 38 = -3*t, 4*u = 6*t - 5*t - 2. Suppose 0 = -3*o, 5*s = 4*o - 26 + 246. Let n = t + s. Calculate the greatest common factor of n and 45.", "a": "15" }, { "q": "Let w be 12/(-44)*14 - 2/11. Let j be (11/w - -3) + (-86)/(-8). Suppose 0 = 2*s - 11 - j. What is the greatest common factor of s and 55?", "a": "11" }, { "q": "Let t be (-1232)/6*102/(-187). Let z be (13 - -1) + 0 + 2. Calculate the greatest common divisor of t and z.", "a": "16" }, { "q": "Suppose 167*l + 7310 - 27350 = 0. What is the highest common divisor of 18 and l?", "a": "6" }, { "q": "Let h(k) = 7*k - 128. Let w be h(19). Suppose 10*l - 2250 = w*l. What is the greatest common divisor of l and 18?", "a": "18" }, { "q": "Let p(l) = -l**3 + 24*l**2 - 123*l - 37. Let n be p(16). Calculate the highest common divisor of 1978 and n.", "a": "43" }, { "q": "Let b = -3142 + 3809. Calculate the greatest common divisor of b and 46.", "a": "23" }, { "q": "Suppose -192 = -6*m + 240. Let s(o) = -2*o**2 - 37*o. Let v be s(-18). Calculate the highest common factor of v and m.", "a": "18" }, { "q": "Let o be 0 + -3 - 5/((-50)/84630). Calculate the greatest common factor of o and 18.", "a": "18" }, { "q": "Suppose 0 = 5*y + 4*r - 105, -3*y - 2*r + 70 = -r. Suppose d = -31*d + 800. Calculate the greatest common factor of y and d.", "a": "25" }, { "q": "Let g = -1265 + 1268. Let l(k) = -6*k**3 - k. Let o be l(1). Let r be 1/((-3)/g)*o. What is the greatest common divisor of 1 and r?", "a": "1" }, { "q": "Let k be -589 + 14 - (2 - 1). Let z be (0 - k/42) + 4/14. Calculate the greatest common factor of z and 2.", "a": "2" }, { "q": "Let x be (-2380)/28*(-5)/(100/32). Calculate the greatest common divisor of x and 3672.", "a": "136" }, { "q": "Suppose -4*n + 2744 = -4*p, 13*n + 710 = 14*n - 7*p. Calculate the highest common divisor of n and 62.", "a": "62" }, { "q": "Let x(h) = 3*h**2 + 10*h + 53. Let t(i) = i**2 - 1. Let v(y) = 4*t(y) - x(y). Let l be v(-5). Calculate the highest common factor of l and 9.", "a": "9" }, { "q": "Let r be (-1590)/14 - 78/182. Let i = r - -124. What is the highest common divisor of i and 5?", "a": "5" }, { "q": "Let l(v) = -v**3 + 8*v**2 - 5*v - 1. Let r be l(5). What is the greatest common divisor of r and 2940?", "a": "49" }, { "q": "Let h(n) = 10*n**2 + 2*n - 6. Let q be h(-2). What is the greatest common divisor of q and 95?", "a": "5" }, { "q": "Suppose -5*s + 3*s + 122 = 2*z, -s - 254 = -4*z. Let g(v) = -v**3 + v**2 - 2*v. Let a be g(-3). Let k = a + -21. What is the greatest common divisor of z and k?", "a": "21" }, { "q": "Let s = 3654 + -3639. Calculate the highest common divisor of s and 45.", "a": "15" }, { "q": "Suppose -h - 5*p = -191, -2*p - 21 = 3*h - 542. Calculate the highest common factor of 135 and h.", "a": "9" }, { "q": "Suppose -4*d + 149 + 143 = 0. Suppose d + 15 = 2*i. Let q be ((-44)/(-6))/(8*(-2)/(-24)). What is the greatest common factor of q and i?", "a": "11" }, { "q": "Let g be 6/(1*-3)*-4. Suppose 2*n + g = s - 13, n - 48 = -4*s. Suppose -m + 3*x = -101, -3*x + 315 = 6*m - 3*m. What is the greatest common factor of m and s?", "a": "13" }, { "q": "Let t = 26 + 4. Let o(a) = a**3 - a**2 - 18*a + 5. Let r be o(5). Calculate the highest common factor of r and t.", "a": "15" }, { "q": "Suppose -164 - 436 = -6*q. Let b be (5 - -34) + 1 + 0. Suppose 0*a - a + b = 0. What is the highest common divisor of q and a?", "a": "20" }, { "q": "Let r be 6/4 + 46/4. Let y(k) = k**3 - 45*k**2 - 39*k - 127. Let z be y(46). What is the greatest common divisor of z and r?", "a": "13" }, { "q": "Let f be ((1 + 195)/2)/(-2). Suppose -464 = 3*c + 4*j - 193, 4*c = 3*j - 378. Let n = f - c. Calculate the highest common divisor of n and 11.", "a": "11" }, { "q": "Let o(b) = 2*b**3 - 22*b**2 + 20*b + 13. Let p be o(10). Suppose -p*d - 27 = -222. What is the highest common factor of 135 and d?", "a": "15" }, { "q": "Let u = -32 + 173. Calculate the greatest common divisor of 1081 and u.", "a": "47" }, { "q": "Let r = -856 + 961. Suppose -4*b + 4*u - 7*u = -177, -u - 81 = -2*b. What is the highest common divisor of b and r?", "a": "21" }, { "q": "Suppose 4*m = -m + 55. Let q = 428 + -252. Let y = 209 - q. Calculate the highest common divisor of m and y.", "a": "11" }, { "q": "Let q(i) = -i**2 + 9*i - 14. Let b be q(7). Suppose -105*m + 109*m - 208 = b. Calculate the highest common factor of m and 26.", "a": "26" }, { "q": "Let s = -4726 + 4789. Calculate the highest common factor of 35 and s.", "a": "7" }, { "q": "Let u(z) be the first derivative of z**4/4 + 17*z**3/3 + 29*z**2/2 + 10*z + 78. Let t be u(-15). What is the highest common factor of t and 25?", "a": "25" }, { "q": "Let v(c) = -4*c**2 - 41*c + 78. Let g be v(-11). What is the greatest common divisor of g and 465?", "a": "15" }, { "q": "Let y be (-3 - -12) + -3 + 2. Let h be -3 - (y/4 - 136) - -2. Calculate the highest common factor of 19 and h.", "a": "19" }, { "q": "Let r(m) = 44*m + 1146. Let l be r(-26). Calculate the greatest common factor of 81 and l.", "a": "1" }, { "q": "Let p(w) = 4*w + 9. Let m be p(-6). Let r be 37/5 + 6/m. Let i = 2146 - 2090. What is the greatest common divisor of i and r?", "a": "7" }, { "q": "Let y = -14 - -54. Let n(q) = 26*q + 27*q - y*q - 17 - q**2. Let d be n(9). Calculate the highest common divisor of d and 19.", "a": "19" }, { "q": "Let s = -212 - -144. Let t = s + 90. Calculate the greatest common divisor of t and 374.", "a": "22" }, { "q": "Let o(f) = -f**2 + 17*f - 21. Let g be o(14). Suppose -3*h - 3*u = 23 - 71, h = 4*u + g. Calculate the greatest common divisor of 17 and h.", "a": "17" }, { "q": "Let o = 2535 - 692. Calculate the greatest common factor of 291 and o.", "a": "97" }, { "q": "Suppose -20*w + 3216 = 47*w. Suppose -5*n + 55 = 4*y, -n = 3*y - 4*y + 25. Let o = 36 - y. Calculate the highest common divisor of w and o.", "a": "16" }, { "q": "Let j = 3143 + -2939. What is the greatest common divisor of 3570 and j?", "a": "102" }, { "q": "Suppose -1279 = -2*g + 3*k, 3*k = 5*g - 1523 - 1652. What is the greatest common divisor of 395 and g?", "a": "79" }, { "q": "Suppose -t = -0*t + 2*m + 32, -2*t = -5*m + 73. Let l = t - -14. Let u be -5*(168/l)/6. Calculate the highest common divisor of 14 and u.", "a": "7" }, { "q": "Let s(c) = 114*c**2 + 4*c - 2. Let t be s(-3). What is the highest common divisor of 138 and t?", "a": "46" }, { "q": "Suppose 31*q = 16*q + 104 + 301. Calculate the highest common factor of q and 1467.", "a": "9" }, { "q": "Let m(r) = 3*r**3 + 9*r**2 + 51*r - 143. Let y be m(2). Let a be (76/(-5))/((-1)/20). Calculate the greatest common divisor of a and y.", "a": "19" }, { "q": "Suppose -z = 4*b - 202, 3*z - b + 0*b - 567 = 0. Let s = 5 - -5. Calculate the greatest common divisor of s and z.", "a": "10" }, { "q": "Let p be 1*(-8456)/(13 - 21). What is the highest common divisor of 21 and p?", "a": "7" }, { "q": "Suppose 25*b - 20*b = 2*q + 16096, 5*b - 3*q - 16094 = 0. Calculate the greatest common factor of 140 and b.", "a": "140" }, { "q": "Let c = 419 + -122. Suppose 3*l - 4*w = 204, -4*l - 4*w + w = -c. Calculate the highest common divisor of l and 18.", "a": "18" }, { "q": "Let r(i) = -6*i + 53. Let m(w) = -w + 10*w + 27 - 12*w. Let t(h) = 5*m(h) - 2*r(h). Let d be t(6). Calculate the highest common divisor of d and 11.", "a": "11" }, { "q": "Suppose 1 = -3*z + s, 51 - 42 = 5*z + s. What is the greatest common divisor of z and 317?", "a": "1" }, { "q": "Suppose 78728 = -91*s + 88967 + 471060. What is the highest common factor of s and 123?", "a": "123" }, { "q": "Suppose -74 + 128 = 6*a. Suppose -18 = a*h - 324. Suppose -d + 4*d = -5*i + 91, 0 = -5*d + 10. Calculate the greatest common factor of h and i.", "a": "17" }, { "q": "Suppose 374 + 34 = 3*x. Let r(q) = 79*q + 1789. Let k be r(-22). Calculate the highest common divisor of k and x.", "a": "17" }, { "q": "Let y(q) = q**3 + 6*q**2 + 5*q + 2. Let z = 5 - 10. Let a be y(z). Let n be 2432/10 + (-2)/20*a. Calculate the greatest common divisor of 27 and n.", "a": "27" }, { "q": "Let s(y) = -2*y**3 - 9*y**2 - 22*y - 7. Let t be s(-4). Suppose -v - 54 = -t. What is the highest common divisor of v and 253?", "a": "11" }, { "q": "Let n(w) = 4*w**2 - 2*w - 6. Let z be n(3). Suppose 520 = z*f + 2*f. Calculate the greatest common factor of 140 and f.", "a": "20" }, { "q": "Let x = -16 + 19. Let a be (4 + -8)/(2/(-47)). Suppose -2*t = -5*z + a, x*z - 4*t - 30 = 18. What is the highest common factor of z and 8?", "a": "4" }, { "q": "Suppose 15*j = 34166 + 17734. Calculate the greatest common divisor of 60 and j.", "a": "20" }, { "q": "Let u be 2/(-5) - 88/(-20). Suppose -u + 99 = 5*a. What is the highest common divisor of a and 171?", "a": "19" }, { "q": "Suppose v + 4*b - 5*b - 19 = 0, -3*b - 12 = 0. Suppose 1938 = v*q + 2*q. Calculate the highest common factor of 6 and q.", "a": "6" }, { "q": "Suppose -6*x - 19 = -49. Suppose 0 = 4*k - 2*i - 3 - 19, x*k + 5*i - 65 = 0. Calculate the greatest common divisor of k and 24.", "a": "8" }, { "q": "Let u = -122 + -26. Let k = -124 - u. Calculate the greatest common factor of k and 192.", "a": "24" }, { "q": "Suppose -3*a = c - 4, -2*a + 2*c - 8 = -0*c. Suppose -11*w + 5*w + 72 = a. Calculate the highest common divisor of 9 and w.", "a": "3" }, { "q": "Let q be (-130)/(-52)*(1 + -41). Let t = q - -380. Calculate the greatest common factor of 10 and t.", "a": "10" }, { "q": "Suppose -5*h + 8 = -17, -11 = -3*u - 4*h. Let t(b) = 3*b**2 - 3*b - 7. Let w be t(u). Calculate the highest common divisor of w and 319.", "a": "29" }, { "q": "Let q(b) = b**2 - 66*b + 423. Let t be q(6). What is the greatest common factor of t and 903?", "a": "21" }, { "q": "Suppose 0*a + 9*a + 3*a = 1476. What is the highest common divisor of a and 7011?", "a": "123" }, { "q": "Suppose 3*a = 2*i + 134, -4*a + 16 = -2*i - 164. Calculate the highest common divisor of 897 and a.", "a": "23" }, { "q": "Let z = -5 + 30. Suppose -z*n = -16*n - 756. What is the greatest common divisor of 24 and n?", "a": "12" }, { "q": "Suppose 0 = -14*x + 51*x - 3700. Let v(o) = o - 3. Let c be v(7). Suppose -c*h + x = 16. What is the highest common factor of h and 189?", "a": "21" }, { "q": "Let h be 280/6*1*(-1563)/(-521). Calculate the highest common factor of h and 140.", "a": "140" }, { "q": "Let t = -3223 + 3243. Calculate the highest common divisor of t and 92.", "a": "4" }, { "q": "Suppose -3*d + 3*y - y - 3 = 0, -9 = 2*d + y. Let z be -5*(72/5)/d. Let c be 1*48 + (0 - 0/(-6)). What is the greatest common factor of c and z?", "a": "24" }, { "q": "Let k(y) = -7 + 20 + 2*y - 3*y - 19. Let w be k(-13). Calculate the highest common divisor of w and 91.", "a": "7" }, { "q": "Let q be (-1696)/(-48) + (4 - 40/12). Calculate the greatest common factor of 666 and q.", "a": "18" }, { "q": "Suppose -58*v + 269 = -57*v - 2*b, 3*v - 4*b - 817 = 0. What is the greatest common factor of v and 186?", "a": "93" }, { "q": "Let m(w) = -w**2 - 199*w + 2120. Let y be m(10). Suppose 0 = 3*i - 4 + 43. Let o be -16*(2/(-1) + i). Calculate the highest common divisor of o and y.", "a": "30" }, { "q": "Let a be 5*(-6)/75 + (-2)/(40/(-2708)). Calculate the highest common divisor of 864 and a.", "a": "27" }, { "q": "Suppose -4*q - r + 21949 = 0, -3*r = 4*q - 8*r - 21943. What is the highest common divisor of 93 and q?", "a": "93" }, { "q": "Suppose -94 - 184 = -2*r + 406. What is the greatest common factor of r and 722?", "a": "38" }, { "q": "Suppose 112*t + 360 = 121*t. Let i = 54 + -24. What is the greatest common factor of i and t?", "a": "10" }, { "q": "Suppose 4*l - 6 = 13 + 105. Calculate the greatest common factor of l and 3.", "a": "1" }, { "q": "Suppose 11*g - 34 - 42 = 56. What is the highest common factor of 1668 and g?", "a": "12" }, { "q": "Suppose 8*a = 11*a - 6. Suppose 2*z - a = 6. What is the highest common factor of z and 2?", "a": "2" }, { "q": "Suppose -55*z + 50 = -45*z. What is the highest common factor of z and 1195?", "a": "5" }, { "q": "Let a(i) = i**3 - 40*i**2 - 2*i + 158. Let d be a(40). Calculate the greatest common divisor of 192 and d.", "a": "6" }, { "q": "Let u = -3811 - -3832. Calculate the highest common divisor of 672 and u.", "a": "21" }, { "q": "Let y(g) = g**2 - 36*g + 100. Let n(f) = -4*f**2 + 145*f - 398. Let c(z) = 2*n(z) + 9*y(z). Let t be c(31). What is the highest common divisor of 143 and t?", "a": "11" }, { "q": "Suppose 7268 = -32*b - 14*b + 24978. What is the greatest common divisor of 880 and b?", "a": "55" }, { "q": "Let x = 3561 - 3549. What is the highest common factor of x and 3684?", "a": "12" }, { "q": "Let l = 84 + -79. Suppose 959 = l*f - 336. Calculate the greatest common factor of 7 and f.", "a": "7" }, { "q": "Suppose -5320 = -4*j + 4*f, 16 = f + 13. Calculate the greatest common divisor of j and 31.", "a": "31" }, { "q": "Let p = -4143 + 4301. Calculate the greatest common factor of 711 and p.", "a": "79" }, { "q": "Suppose 0 = -20*j - 458 - 6262. Let f = j + 477. Calculate the highest common factor of 47 and f.", "a": "47" }, { "q": "Let u be 106 + ((-32)/16 - 1*4). Calculate the highest common divisor of 775 and u.", "a": "25" }, { "q": "Let f(u) = -u**3 + 40*u**2 + 85*u + 30. Let m be f(42). What is the greatest common factor of 33 and m?", "a": "3" }, { "q": "Suppose 5*y - 13 = 4*j, -3*y + 7 = -j - j. Let n be -4*y - (11 - 10). Let w be (1*n/1 + -3)/(-1). What is the highest common divisor of 64 and w?", "a": "8" }, { "q": "Let l = -1226 - -1541. What is the greatest common factor of l and 385?", "a": "35" }, { "q": "Let v = 40 + -42. Let m be v/10*-2*60. Calculate the greatest common factor of 8 and m.", "a": "8" }, { "q": "Let f be 2/(-3) + (-2002)/(-78). Let h = f - 19. Let i be (10/h)/((-6)/(-18)). What is the highest common factor of 35 and i?", "a": "5" }, { "q": "Let p = 5553 + 76. Calculate the highest common divisor of p and 13.", "a": "13" }, { "q": "Suppose 8 = -c + 4*s + 32, 3*c - 5*s = 37. Suppose 0*d = -3*d. Suppose 6*o + 5*o - 44 = d. What is the greatest common divisor of c and o?", "a": "4" }, { "q": "Let i(x) = x**2 + 7*x + 9. Let l be i(-7). Let d(u) = 11*u**3 - 9*u + l*u + 1. Let z be d(1). What is the highest common divisor of 108 and z?", "a": "12" }, { "q": "Let p be (-1)/2 + 86/4. Suppose -p*v + 23*v - 54 = 0. Let g = v - 25. What is the highest common factor of 16 and g?", "a": "2" }, { "q": "Let r(v) = 3*v + 51. Let j be r(-10). Let t be j/((14/6)/7). Calculate the greatest common factor of t and 18.", "a": "9" }, { "q": "Let b be 72/16 + (-1)/(-2). Suppose b*j - 20 = 110. Calculate the highest common divisor of 39 and j.", "a": "13" }, { "q": "Let o = 866 - 338. Suppose 5*j - 8 = 2. Suppose -235 = -5*a + y, -2*a - 5*y + 111 = -j*y. What is the greatest common factor of a and o?", "a": "48" }, { "q": "Suppose -3*o - 20 = -29, 4*o - 1668 = -4*x. What is the greatest common factor of x and 72?", "a": "18" }, { "q": "Let b be 1*(4 - (-3 + -13)). Suppose 0 = 55*u - 51*u - b. Let m = u - -27. What is the greatest common divisor of m and 8?", "a": "8" }, { "q": "Let g(w) = 3*w - 27. Let z be g(15). Let x = -8 - -12. Suppose -4*v + 8 = x*i, -8 = -4*i - 0*v + 5*v. What is the highest common factor of z and i?", "a": "2" }, { "q": "Let s = 626 - 384. Let a(k) = -5*k + 7. Let o be a(2). Let p be ((-132)/4)/(o/2). Calculate the greatest common divisor of p and s.", "a": "22" }, { "q": "Let r be ((-45)/(-4))/(1554/1008 + 6/(-4)). What is the greatest common factor of r and 320?", "a": "10" }, { "q": "Let b be -2 - 5/(15/(-24)). Let c(g) = -g**3 - 2*g**2 - g + 2. Let o be c(-2). Suppose o*i - 25 - 71 = 0. What is the greatest common factor of i and b?", "a": "6" }, { "q": "Suppose -2*h = 3*h - 885. Let r(q) = -302*q - 788. Let i be r(-3). Calculate the greatest common factor of h and i.", "a": "59" }, { "q": "Let i be ((-2)/(-2) - (-670)/10)*35/5. What is the greatest common divisor of 56 and i?", "a": "28" }, { "q": "Suppose -5945 + 4307 = -21*j. Calculate the greatest common divisor of j and 54.", "a": "6" }, { "q": "Let d(v) = 128*v - 738. Let s be d(6). Calculate the highest common factor of 1210 and s.", "a": "10" }, { "q": "Let d = 1918 - 1554. What is the greatest common divisor of 468 and d?", "a": "52" }, { "q": "Let k(z) = 2*z + 0*z - 18 - 15*z - 12*z. Let f(l) = 4*l**2 + 163*l - 47. Let i be f(-41). Let b be k(i). Calculate the highest common factor of b and 12.", "a": "12" }, { "q": "Let u be (-4 + -2)/(-12)*1*568. Let a be u/18 - 2/(-9). Suppose -p + 5 = 0, -143 = -3*n + 2*n - 3*p. What is the highest common factor of a and n?", "a": "16" }, { "q": "Let s = -30 - 45. Let o be 2*(-9)/30*s. Let b = 33 - 24. Calculate the greatest common divisor of o and b.", "a": "9" }, { "q": "Suppose 4*t - 2*k - 342 = -64, 0 = 5*t - 4*k - 352. What is the greatest common divisor of t and 4624?", "a": "68" }, { "q": "Suppose 0 = -3*s - 5*i - 1365, s + 67 = i - 380. Let v be ((-1)/3)/(2/s). Calculate the greatest common factor of v and 45.", "a": "15" }, { "q": "Let w be (33/6)/((-7)/45360*-15). What is the highest common divisor of w and 66?", "a": "66" }, { "q": "Let r(q) = -27*q + 25*q + 16*q**2 + 5*q**2 + 1. Let y be r(1). Calculate the highest common divisor of y and 90.", "a": "10" }, { "q": "Suppose -5*z + i = -20, z - 4 = -i - 3*i. Suppose 2*r - 8*r + 36 = 0. Suppose -62 - 202 = -r*x. Calculate the greatest common divisor of x and z.", "a": "4" }, { "q": "Let b(g) = 128*g**2 - 52*g - 52. Let x be b(-1). What is the greatest common factor of 104 and x?", "a": "8" }, { "q": "Let n = 1269 - 984. What is the highest common divisor of n and 798?", "a": "57" }, { "q": "Suppose -11*f - 418 = 1705. Let t = -165 - f. Calculate the greatest common divisor of 7 and t.", "a": "7" }, { "q": "Let d = -7 - -12. Let q(y) = d*y**2 - 12 + y**2 - y**3 + 0*y + 3*y - 2. Let u be q(6). Calculate the greatest common factor of u and 10.", "a": "2" }, { "q": "Let a = 143 + 54. Let x(b) = -4*b**2 - 2*b - 3. Let q be x(-5). Let f = q + a. What is the highest common divisor of f and 13?", "a": "13" }, { "q": "Suppose 58*o = -84*o + 33512. What is the greatest common divisor of o and 295?", "a": "59" }, { "q": "Let r(j) = -32*j + 12. Let i = -8 - -4. Let p be r(i). Suppose -4*t + p = 5*g, g = -t - 4*t + 28. What is the greatest common divisor of 42 and g?", "a": "14" }, { "q": "Let f(i) = 3*i + 38. Let m be f(-14). Let v be (-4)/(16/4) - m - -2. What is the greatest common divisor of v and 45?", "a": "5" }, { "q": "Let i be 35 - (225/(-15))/(-5). Calculate the highest common divisor of 17 and i.", "a": "1" }, { "q": "Suppose -3*j = 5*r - 2 + 1, -5*j = -5*r - 15. Let s be 2/10*r*(-5 + -20). Let h = 7 - 2. Calculate the highest common factor of h and s.", "a": "5" }, { "q": "Let z(x) = x**2 + 15*x - 37. Let f be z(-17). Let n be 143 - f*(-3)/(-9). Calculate the highest common divisor of n and 16.", "a": "16" }, { "q": "Let q(l) = 176*l. Let n be q(2). Let t be 17 + (-20)/((-260)/351). Calculate the highest common divisor of n and t.", "a": "44" }, { "q": "Let q(i) = -i**2 + 18*i + 55. Let v be q(20). Let n be 800/2*12/v. What is the highest common factor of n and 20?", "a": "20" }, { "q": "Suppose -12*n + 42 = -6*n. Suppose -n*g = 8*g - 15. Suppose -4*f = -5*j - 4, -j + 0 = 4*f - 4. What is the highest common divisor of g and f?", "a": "1" }, { "q": "Let n(a) = 7*a + 67. Let t(g) = 4*g + 45. Let z(w) = -5*n(w) + 8*t(w). Let p be z(-22). Calculate the greatest common divisor of p and 13.", "a": "13" }, { "q": "Suppose -3*c - 4*v = -228, 5*c = v - 0*v + 357. Let k be ((-8)/(-24))/(3/684). Let z = k + -58. What is the highest common factor of c and z?", "a": "18" }, { "q": "Suppose -d + 5*d + 14784 = 11*d. What is the highest common factor of 396 and d?", "a": "132" }, { "q": "Suppose 2*u + 28 = 5*t, -4*u = u + 2*t + 12. Let k be -4 + (u - -81) - -4. Let v = k - 31. What is the greatest common divisor of v and 115?", "a": "23" }, { "q": "Let w(y) = y**2 + 24*y + 195. Let x be w(-14). Calculate the greatest common divisor of x and 121.", "a": "11" }, { "q": "Let l be 13/((-1 + -2)/(-3)). Let x = -592 - -605. What is the highest common divisor of l and x?", "a": "13" }, { "q": "Suppose 5*p + 10 = 0, -2*z + 83 = p - 469. Let g = z - 212. Calculate the highest common divisor of 13 and g.", "a": "13" }, { "q": "Suppose -4*o + 48 = -z, 9*z = 10*z - 5*o + 53. Let g be -4 + ((-14)/z)/((-1)/(-44)). Calculate the highest common divisor of 6 and g.", "a": "6" }, { "q": "Let p(m) = 74*m + 261. Let z be p(-3). Calculate the greatest common factor of 2847 and z.", "a": "39" }, { "q": "Let y(u) = 29*u - 649. Let f be y(23). Calculate the greatest common factor of 1521 and f.", "a": "9" }, { "q": "Suppose -238 = 3*s - 808 - 855. What is the greatest common divisor of 665 and s?", "a": "95" }, { "q": "Suppose -4*z - 7 = -11. Let f be 5*((-224)/35 - -7). Calculate the greatest common factor of z and f.", "a": "1" }, { "q": "Let t(h) = -4*h**2 - 77*h - 1. Let n be t(-19). Let o = -61 + 65. Calculate the greatest common factor of n and o.", "a": "2" }, { "q": "Suppose g + 3*v - 4 = -1, -5*v + 5 = 0. Suppose -2*r = -0*r - 4*d - 526, g = r - 4*d - 273. Calculate the highest common factor of r and 23.", "a": "23" }, { "q": "Suppose -4*v + 1109 = 10*v + 409. What is the highest common factor of 370 and v?", "a": "10" }, { "q": "Let n(p) = 88*p - 1289. Let o be n(38). What is the greatest common divisor of o and 15?", "a": "15" }, { "q": "Suppose 0 = -2*r + 3*r. Suppose r*j + 30 = 3*j. Let s be 2/(2/(-100)*(-50)/40). What is the greatest common divisor of s and j?", "a": "10" }, { "q": "Let o(a) = 2*a**3 - a**2 + a - 2. Let z be o(-2). Let v be ((-48)/(-18))/((-2)/z). What is the highest common factor of 64 and v?", "a": "32" }, { "q": "Suppose -5*t + 100 = -19*m + 24*m, -5*t - 4*m = -98. What is the highest common factor of 711 and t?", "a": "9" }, { "q": "Let c be (1326/(-4))/(30/(-40)). Let q = 147 - 121. Calculate the greatest common factor of q and c.", "a": "26" }, { "q": "Let a(l) = 3*l**3 + 86*l**2 + 42*l + 85. Let u be a(-28). What is the greatest common factor of 99 and u?", "a": "9" }, { "q": "Let o = 8 - -1. Let i(v) = v**2 + 9*v + 21. Let x be i(-3). Suppose -131 = -3*n + 4*k, 2*n = -x*n - 3*k + 228. Calculate the greatest common divisor of n and o.", "a": "9" }, { "q": "Let q be (1632/18)/(98/(-21) + 5). What is the highest common factor of 476 and q?", "a": "68" }, { "q": "Suppose 5*w - 4*t - 2444 = 0, 4*w - 1480 = w - t. What is the greatest common factor of 96 and w?", "a": "12" }, { "q": "Let u(r) = 20*r - 4020. Let n be u(208). Let a be 0 + -1 + 1 - -56. What is the highest common divisor of n and a?", "a": "28" }, { "q": "Let p be (-3344)/(-56) + 2/7. Let t = 18 + -14. What is the greatest common factor of t and p?", "a": "4" }, { "q": "Let b(d) = -d**3 + 8*d**2 - 9*d + 16. Let q be b(9). Let i = -115 - q. What is the highest common factor of i and 1?", "a": "1" }, { "q": "Suppose 1874 = 10*i - 46. Calculate the greatest common factor of i and 1088.", "a": "64" }, { "q": "Let j(w) = 109*w**2 - 81*w - 81. Let c be j(-1). What is the highest common factor of c and 1417?", "a": "109" }, { "q": "Let k = 759 - 84. What is the greatest common factor of k and 375?", "a": "75" }, { "q": "Suppose 917*i - 70 = 907*i. Let j be 4/((-12)/(-45)) - 1. Calculate the greatest common divisor of i and j.", "a": "7" }, { "q": "Let m be (5/15)/(3447/(-432) - -8). Let r(v) = 4*v**2 - 7*v - 1. Let w be r(-3). Calculate the highest common divisor of w and m.", "a": "8" }, { "q": "Suppose -5*p + 10 = 0, 10*u - 5*u + 37 = -4*p. Let n be 792*(28/(-7) + u/(-2)). Calculate the greatest common factor of n and 36.", "a": "36" }, { "q": "Suppose 4*a - 17 = 3*b, 3*a - 5*b + 528 - 549 = 0. What is the highest common divisor of 23 and a?", "a": "1" }, { "q": "Let f = 3 - 5. Let b be (-474)/(-15) + f/(-5). Suppose -218*c = -92*c - 2016. Calculate the greatest common divisor of c and b.", "a": "16" }, { "q": "Let i be 1/((-11)/(-186)) + 43/473. Let r be 15/1 - 2/(-1). Calculate the greatest common factor of i and r.", "a": "17" }, { "q": "Let g be (264/(-28))/(2/(-14)). Let q = g - -4. Let v(s) = -255*s + 1820. Let m be v(7). What is the greatest common factor of q and m?", "a": "35" }, { "q": "Suppose 2520 = 3*k + 15*k. Let m(p) = -3*p**2 + 12*p - 19 + 5 + 5*p**2 - 10. Let a be m(-10). Calculate the greatest common divisor of k and a.", "a": "28" }, { "q": "Suppose -10 = -3*k + 5*k + 5*i, -i = -5*k + 29. Let r be (-26)/(2/(8 - 0)). Let b be (-2)/5 - r/10. What is the greatest common factor of b and k?", "a": "5" }, { "q": "Suppose 2*i = -2 - 0. Let o = i - -6. Let v(b) = -b**3 - 7*b**2 - 4*b + 17. Let h be v(-6). Calculate the greatest common factor of o and h.", "a": "5" }, { "q": "Let c(f) = 26*f**2 - 5*f - 4. Let p = 117 - 118. Let b be c(p). What is the highest common factor of b and 6?", "a": "3" }, { "q": "Let j = 3382 + -3373. What is the greatest common divisor of 1143 and j?", "a": "9" }, { "q": "Let i = -141 + 161. Suppose -4*p = i*p - 816. What is the highest common divisor of 272 and p?", "a": "34" }, { "q": "Suppose -20 = -5*s, -18*t - s - 50 = -21*t. Let y = -11 + 13. Calculate the highest common divisor of t and y.", "a": "2" }, { "q": "Suppose 429 = 3*k - q, -5*q - 146 = -4*k + 415. Calculate the highest common divisor of k and 225.", "a": "9" }, { "q": "Suppose -15 + 4 = -v. Suppose 3*q = 8*q + 40. Let l = q + 52. Calculate the highest common divisor of l and v.", "a": "11" }, { "q": "Let z be (-3)/3 + -5 + 123. Let w be (4/(-10))/((-2)/(-10)). Let d(y) = -4*y**3 + 2*y**2 - 1. Let j be d(w). Calculate the greatest common factor of z and j.", "a": "39" }, { "q": "Let v = 180 + -174. Suppose -v*c + 270 = -0*c. Calculate the greatest common divisor of c and 9.", "a": "9" }, { "q": "Suppose -1 = -3*m + 2*s, -2*m - s + 4 = -6. Suppose -3*f = 5*c - 3 - 10, -5*f + 11 = m*c. Let x = f - -34. Calculate the highest common divisor of x and 315.", "a": "35" }, { "q": "Let o be 90/(-40)*(-1)/(3/20). Let w be o/(-60) + 33/4. Calculate the greatest common divisor of 8 and w.", "a": "8" }, { "q": "Let g(t) = t**2 + 10*t - 11. Let d be g(-11). Suppose 3*o - 255 = -2*y + 5*y, d = y. Calculate the greatest common factor of 68 and o.", "a": "17" }, { "q": "Let j(p) = -2*p**3 + 2*p**2 + 4*p - 3. Let a be j(-2). Calculate the highest common factor of 3536 and a.", "a": "13" }, { "q": "Let g be (0 + (-1176)/(-35))/(1 - (-332)/(-340)). Calculate the highest common factor of g and 17.", "a": "17" }, { "q": "Suppose 7*k = -k - 6*k + 336. Calculate the greatest common divisor of 2460 and k.", "a": "12" }, { "q": "Suppose 3*q - 2*q - 2*q = 0. Suppose q = y - 2, -a + 2 + 20 = -4*y. What is the highest common divisor of 36 and a?", "a": "6" }, { "q": "Let m = 2703 - 2032. Calculate the greatest common divisor of m and 11.", "a": "11" }, { "q": "Suppose -3*x - x + 2*d = -112, -4*x + 4*d = -104. Let s = -23 + x. Let v = 12 - -37. Calculate the highest common factor of v and s.", "a": "7" }, { "q": "Let v(x) = 2*x - 1. Let h be v(5). Let c = 450 - 646. Let m = -187 - c. Calculate the greatest common divisor of h and m.", "a": "9" }, { "q": "Let v(b) = 2*b**3 + 59*b - 117. Let z be v(2). Suppose 4*j - 55 = -4*m + 17, 3*j - 3*m = 48. Calculate the greatest common divisor of z and j.", "a": "17" }, { "q": "Let q(g) be the second derivative of g**3/6 + 2*g**2 - 25*g. Let h be q(4). Calculate the highest common factor of h and 8.", "a": "8" }, { "q": "Let d(k) = -2*k - 12. Let u be d(-8). Suppose -2*o + 7*o = -u*l + 89, -5*o + 47 = 2*l. Suppose l = 5*r - 24. Calculate the highest common factor of 1 and r.", "a": "1" }, { "q": "Suppose 44*u + 23*u = -38*u + 15960. Calculate the highest common factor of u and 551.", "a": "19" }, { "q": "Suppose 497 = 5*g - 13. Let d = 641 - 505. What is the greatest common divisor of g and d?", "a": "34" }, { "q": "Let r be 4/(-12) - (-112)/12. Suppose r*h - 10*h = 0. Let w be 5 + h - (-16)/(-4). Calculate the highest common divisor of w and 5.", "a": "1" }, { "q": "Let q be 3 - (-4)/(16/15116). Let x be q/12 - (4 - (-92)/(-24)). What is the highest common factor of x and 63?", "a": "63" }, { "q": "Let h(a) = 2*a**2 + 9*a - 8. Let n be h(-6). Suppose 0 = -5*q + 1430 - 180. What is the highest common factor of n and q?", "a": "10" }, { "q": "Let v be (-1368)/(-14 - (-26)/2). Calculate the highest common divisor of 27 and v.", "a": "9" }, { "q": "Let o be 30 - -1*6/2. Let w = 70 - o. Let i = -28 + w. Calculate the greatest common factor of 3 and i.", "a": "3" }, { "q": "Let a = -129 + 393. Suppose -117*n + 297 + 231 = -101*n. What is the highest common divisor of a and n?", "a": "33" }, { "q": "Suppose 0*x = -3*q - 4*x - 35, 5*q + 41 = 2*x. Let a be 1110/q*18/(-15). Suppose -a = -2*r - 0*r. Calculate the highest common factor of r and 37.", "a": "37" }, { "q": "Let y(l) = 4*l**3 - 6*l**2 + 7*l + 1. Let o be y(3). Suppose -o = 15*k - 13*k. Let d = k + 39. Calculate the highest common divisor of 8 and d.", "a": "1" }, { "q": "Let i(z) = z**2 - 2*z + 12. Suppose -33*v - 30 = -28*v. Let k be i(v). Calculate the greatest common factor of k and 15.", "a": "15" }, { "q": "Suppose 0 = -22*g + 20*g, -6*g - 1903 = -r. What is the highest common factor of 44 and r?", "a": "11" }, { "q": "Suppose -3*f - v = 4*v - 140, 0 = 2*f - 3*v - 68. Calculate the greatest common factor of 66 and f.", "a": "2" }, { "q": "Suppose -5*j + 180 = 5*d, -d + 61 = -24*j + 20*j. What is the greatest common factor of 6232 and d?", "a": "41" }, { "q": "Let v(n) be the first derivative of n**3 + n**2 - 3*n + 4. Let x be v(1). Calculate the greatest common factor of 6 and x.", "a": "2" }, { "q": "Suppose 0 = -4*b + 5*i - 43, 0 = -b + 2*i + 8 - 18. Let x(c) = -c**2 - 15*c - 9. Let m be x(b). What is the highest common divisor of m and 297?", "a": "27" }, { "q": "Let b(m) = m + 3*m + m - 3 + 3*m - m**2. Let a be b(7). Calculate the greatest common divisor of a and 68.", "a": "4" }, { "q": "Suppose 0 = 4*s - 0*s - 4, -f + 4*s = 0. Suppose -r + 150 = f*r. Let k be (-299)/(-5) - (-56)/280. What is the greatest common factor of r and k?", "a": "30" }, { "q": "Suppose 14*s - 107 + 23 = 0. Suppose 0 = m - 2*a - 17, 2*m + 11 = -s*a + a. Calculate the greatest common factor of m and 203.", "a": "7" }, { "q": "Let h be (-33)/462 + (-1094)/(-28). Calculate the highest common factor of h and 9.", "a": "3" }, { "q": "Suppose -32*i = -158*i - 13532 + 60404. What is the greatest common factor of 279 and i?", "a": "93" }, { "q": "Let q = 1093 + -599. What is the greatest common divisor of 130 and q?", "a": "26" }, { "q": "Suppose 52 - 169 = -3*t. Let c = t - 30. Suppose -3*g - 17 = -i - 6*g, 0 = -5*i + 4*g + c. What is the greatest common divisor of i and 45?", "a": "5" }, { "q": "Let k be -2*(-3)/(-36)*6*-30 - 3. Calculate the greatest common factor of k and 2187.", "a": "27" }, { "q": "Let f = 11 - 9. Suppose n = f - 14. Let s = n - -24. What is the greatest common divisor of 132 and s?", "a": "12" }, { "q": "Let i(s) = 5*s**2 + 6*s + 7. Let v be i(-6). Suppose -4*h + h = q - 40, -4*q = 3*h - v. Calculate the greatest common divisor of q and 259.", "a": "37" }, { "q": "Let b be (-68643)/45 + 6/15. Let c be (-1)/5 - b/125. Let m be (-112)/c*(-9 + 0)*1. What is the highest common factor of 12 and m?", "a": "12" }, { "q": "Let p = 83 + -63. Let r(l) = -l**3 + 7*l**2 + 4. Let z = -19 - -26. Let f be r(z). What is the highest common divisor of p and f?", "a": "4" }, { "q": "Let t be (2*21/(-14))/((-2)/18). Suppose 2*y - 4*y = -2. Let q be 27*(-4 + 9/y). What is the greatest common factor of q and t?", "a": "27" }, { "q": "Suppose 0 = -5*y + 41 + 9. Let v be ((-153)/12 + 10)/(2/88). Let s = v + 131. Calculate the highest common factor of s and y.", "a": "10" }, { "q": "Suppose -852*q = -842*q - 4500. What is the highest common divisor of 350 and q?", "a": "50" }, { "q": "Let f(v) = -261*v - 916. Let q be f(-4). Calculate the highest common factor of q and 96.", "a": "32" }, { "q": "Let r = 228 + -219. Suppose -r*y + 15*y = 60. Calculate the highest common factor of y and 320.", "a": "10" }, { "q": "Let o = 3643 + -3445. Calculate the greatest common divisor of o and 2.", "a": "2" }, { "q": "Let j = 8 - 14. Let g = j + 28. Suppose 5*p = 3*p + 308. Calculate the highest common divisor of g and p.", "a": "22" }, { "q": "Let t(z) = z**3 - 39*z**2 + 77*z - 43. Let i be t(37). Let p = 168 - i. Calculate the highest common divisor of p and 40.", "a": "20" }, { "q": "Let q be 2 + -4 - ((-615)/1 + 1). Suppose -20*j + q = -3*j. Calculate the greatest common factor of j and 90.", "a": "18" }, { "q": "Suppose -356 = 2*j - 3*u, -2*j = u + u + 366. Let v = 196 + j. Calculate the greatest common divisor of 25 and v.", "a": "5" }, { "q": "Let p(h) = h**3 + 9*h**2 + 7*h - 2. Let k be p(-6). Suppose 816 = 2112*x - 2010*x. Calculate the greatest common factor of x and k.", "a": "8" }, { "q": "Suppose 17*w - 60 = 21*w. Let r be 15/(w/(-3))*3. Suppose -5*s = -5, -2*m + 74 = 3*s - s. Calculate the highest common factor of m and r.", "a": "9" }, { "q": "Suppose -3*v - 10 + 38 = 2*z, 0 = -2*z + 3*v + 40. Suppose 4*y - 5*i - 25 = 23, -3*i = -12. Calculate the highest common divisor of y and z.", "a": "17" }, { "q": "Let d = -13839 - -13874. Let l be ((-25)/(-2))/(2/4). Calculate the highest common divisor of l and d.", "a": "5" }, { "q": "Let t = -4200 + 4252. What is the highest common divisor of t and 8164?", "a": "52" }, { "q": "Suppose -6*q = -37*q + 434. Let y = -17 - -38. What is the highest common divisor of y and q?", "a": "7" }, { "q": "Let c(x) = x**3 - 6*x**2 - 4*x - 7. Let t be c(7). Let n = 7 - 4. Suppose 5 = n*w - 1. Calculate the greatest common divisor of w and t.", "a": "2" }, { "q": "Let h be (4 - (-21 + 4))*8/6. Let y = h + -50. Let f = 42 + y. Calculate the highest common factor of f and 180.", "a": "20" }, { "q": "Let f(t) = -2*t - 4. Let a be f(-6). Suppose -220 = -a*n + 7*n. Let g(p) = 24*p - 4. Let u be g(1). What is the greatest common factor of u and n?", "a": "20" }, { "q": "Suppose -6 = -a - n, -3*a + a = 3*n - 16. Suppose a*i - 2*h = -0*i + 42, 0 = i + 4*h - 26. Calculate the greatest common divisor of 4 and i.", "a": "2" }, { "q": "Suppose 0 = -m + 2*m - 2*d - 57, 3*d = 3*m - 180. Let i(h) = -2*h**2 - 27*h - 18. Let w be i(-12). What is the greatest common factor of m and w?", "a": "9" }, { "q": "Let y(b) = -3*b**2 - b + 17 - 5 + 3*b**2 + 3*b**2. Let f be y(3). Let z = 2 - -10. Calculate the highest common divisor of f and z.", "a": "12" }, { "q": "Let y = -3952 - -4070. Calculate the highest common factor of y and 59.", "a": "59" }, { "q": "Let g be 4 - ((-70)/(-56) - 2/8). What is the highest common divisor of g and 103?", "a": "1" }, { "q": "Let a be ((-12)/(-10) + 644/5)*(-22)/(-4). Calculate the greatest common divisor of a and 15.", "a": "5" }, { "q": "Suppose -95 = 5*m - 110. Let v be (49/(-3))/(1/(-3)). Suppose v = m*j + 4*j. What is the greatest common divisor of 1 and j?", "a": "1" }, { "q": "Suppose -59*n + 887 = -1473. What is the highest common divisor of n and 5?", "a": "5" }, { "q": "Let w(k) = -3*k**3 - 5*k**2 - 13*k - 18. Let j be w(-5). Let p = -168 + 201. What is the highest common factor of j and p?", "a": "33" }, { "q": "Let l be 30/(-18)*-3 - -3. Suppose 69 = l*f - 11. What is the highest common factor of f and 50?", "a": "10" }, { "q": "Suppose 12*h + h - 28633 = -6*h. What is the highest common factor of h and 22?", "a": "11" }, { "q": "Let o be 2/(-4)*(-10)/1. Suppose 0*i - 4*l = -2*i + 32, 0 = 2*l - 4. What is the highest common divisor of o and i?", "a": "5" }, { "q": "Suppose 41*u - 3008 - 436 = 0. Calculate the greatest common divisor of 49 and u.", "a": "7" }, { "q": "Let y be 0 + -1 + -5 + 8. Let a(t) = 12*t - 20. Let r be a(y). What is the greatest common factor of 92 and r?", "a": "4" }, { "q": "Let i(n) = 3*n - 30. Let f be i(16). Suppose 2*v - 280 = -5*s, -s - 560 = f*v - 22*v. What is the greatest common divisor of v and 28?", "a": "28" }, { "q": "Let v = 141 - 77. Let c = v - 118. Let q be 8/3*c/(-48)*4. Calculate the greatest common factor of 84 and q.", "a": "12" }, { "q": "Let w(k) = -16*k**2 + 1. Let z be w(1). Let n be (-69)/z + (-15)/25. Let g be 9/n*(-96)/(-9). What is the highest common divisor of g and 12?", "a": "12" }, { "q": "Let o = -3422 - -3433. Calculate the highest common factor of o and 1232.", "a": "11" }, { "q": "Let p = -20 - -31. Suppose 48*j = 15*j + 3993. Calculate the highest common divisor of p and j.", "a": "11" }, { "q": "Let v = 3611 - 3361. Calculate the greatest common factor of 3375 and v.", "a": "125" }, { "q": "Suppose q = 13*q - 60. Suppose -q*z + 19 = 2*a - 0*z, -5*z = -3*a + 91. Calculate the highest common divisor of 22 and a.", "a": "22" }, { "q": "Let b = -15 + 12. Let d be (-854)/(-49) - b/(-7). Suppose 4*x - 68 = -4*g, 5*g - 115 = -3*x - 30. Calculate the greatest common factor of g and d.", "a": "17" }, { "q": "Let i be 2756/848 + 854/8. Let m be 33/((-3)/(-2) - 0). What is the greatest common factor of m and i?", "a": "22" }, { "q": "Let t be 5992/(-56) + (1 - (-1 - -1)). Let s = t + 130. Suppose 5*u + 458 = 3*k + 93, 5*k - 604 = 4*u. Calculate the highest common factor of s and k.", "a": "24" }, { "q": "Let y(z) = 3*z + 62. Let w = -201 + 187. Let u be y(w). Calculate the highest common factor of 220 and u.", "a": "20" }, { "q": "Let n(v) = 2*v**3 + v**2 + 3*v - 17. Suppose -5 = -8*o + 9*o, 3*l + 6 = -3*o. Let y be n(l). Calculate the greatest common factor of y and 605.", "a": "55" }, { "q": "Suppose 50*z - 42906 = -13456. What is the greatest common divisor of 95 and z?", "a": "19" }, { "q": "Let s be (-5 + 50/15)*(-1 - 308). Calculate the greatest common divisor of 206 and s.", "a": "103" }, { "q": "Let g = 4811 + -4797. Calculate the highest common divisor of 1393 and g.", "a": "7" }, { "q": "Suppose -5*j + 3*o = -620, 2*o + 615 = -35*j + 40*j. What is the highest common divisor of j and 6776?", "a": "121" }, { "q": "Let x(p) = 7*p**2 - 4*p + 9. Let o(c) = 5*c**2 + 3*c + 2. Let a be o(-1). Let g be x(a). What is the greatest common factor of g and 63?", "a": "21" }, { "q": "Let l be ((15/6)/((-15)/510))/(5/(-2)). Calculate the highest common divisor of l and 6698.", "a": "34" }, { "q": "Suppose -5089 = -4*i + 3*k, 505 = i + 4*k - 753. Calculate the highest common factor of 10 and i.", "a": "10" }, { "q": "Suppose 0 = -5*i - 83 + 135 + 358. Let g(a) = a**2 - a + 101. Let v be g(0). Suppose p - 22 = v. Calculate the greatest common factor of p and i.", "a": "41" }, { "q": "Let b be ((-35)/(-20) - -2) + (-3)/(-12). Suppose -3*q + b*q - 5*n - 46 = 0, 0 = 5*q - 4*n - 188. Calculate the highest common factor of q and 288.", "a": "36" }, { "q": "Let d = -10 - -14. Suppose -d*v + 0*q + q + 415 = 0, -2*q + 106 = v. Calculate the greatest common factor of v and 260.", "a": "52" }, { "q": "Suppose -17060 = -14*y - 15*y + 53381. What is the highest common factor of y and 14?", "a": "7" }, { "q": "Let l be 9/(-12) + ((-3915)/20)/3. Let q = 126 + l. What is the greatest common factor of q and 80?", "a": "20" }, { "q": "Let f be (10122/5 - 1) + 1 - (-618)/(-1545). What is the highest common factor of f and 16?", "a": "8" }, { "q": "Let v(m) = 17*m**2. Let g be v(1). Suppose -g - 31 = -3*w. Suppose 43*s - 4*o - 88 = 38*s, 5*o + 58 = 3*s. What is the highest common divisor of s and w?", "a": "16" }, { "q": "Suppose 5*z = 0, -3*y + 2*z = 2*y - 195. Suppose 0 = 215*o - 16*o - 5174. Calculate the greatest common factor of y and o.", "a": "13" }, { "q": "Suppose -12*i - 124 = -14*i. Suppose n = -3*h - i, 0*n = -3*n + 12. Let v = -13 - h. Calculate the highest common divisor of 45 and v.", "a": "9" }, { "q": "Let r be 2/(-10) + (5634/15)/(-2). Let f = r - -206. What is the highest common divisor of 171 and f?", "a": "9" }, { "q": "Suppose 0 = 3*a, -5*a - 1128 - 814 = -4*x + 1358. Calculate the highest common factor of 225 and x.", "a": "75" }, { "q": "Suppose -3*t + 30 + 12 = -63. Calculate the greatest common divisor of t and 161.", "a": "7" }, { "q": "Let x be 7215/(-148)*-60*(36/15 - 2). What is the highest common factor of 72 and x?", "a": "18" }, { "q": "Let d(y) = -12*y + 1576. Let h be d(-66). Calculate the greatest common factor of h and 4.", "a": "4" }, { "q": "Let c = -108 - -884. What is the greatest common divisor of c and 24?", "a": "8" }, { "q": "Let q = -2323 + 2658. Calculate the greatest common divisor of q and 65.", "a": "5" }, { "q": "Let l = -648 + 671. Let w be ((-33)/(-12))/((-1)/(-220)). Suppose -4*p + 3*x + 1009 = 0, -5*p + x + 659 = -w. Calculate the highest common divisor of p and l.", "a": "23" }, { "q": "Suppose k - 2*q + 2428 = 11674, 0 = 5*k + 3*q - 46243. Calculate the greatest common factor of k and 32.", "a": "32" }, { "q": "Suppose 5*g - 222 = 548. Let f be -10*(-6 - -11)/((-10)/(-12)). Let r be (-62)/(-4) + f/40. What is the highest common factor of g and r?", "a": "14" }, { "q": "Let b be ((-15)/4 - 2/(-8))*54/(-21). What is the highest common divisor of b and 573?", "a": "3" }, { "q": "Let h = 1579 + -1550. Calculate the greatest common factor of 1711 and h.", "a": "29" }, { "q": "Let r(q) = 28*q - 12. Let t be r(0). Let s be (-2)/8 - 81/(-4). Let b = t + s. Calculate the highest common factor of 1 and b.", "a": "1" }, { "q": "Suppose 0 = -6*w + 10*w - 8. Suppose -650 = -4*o - w*b, -2*o - 327 = -4*o - 3*b. Calculate the greatest common factor of 108 and o.", "a": "54" }, { "q": "Let w be (1 - 0)*12/1. Suppose n = 3*h + w, -3*n + 136 - 52 = 3*h. Let i = -1341 + 1347. What is the greatest common factor of i and n?", "a": "6" }, { "q": "Suppose 0 = -4*o + 59 + 97. Suppose -n - 89 = -3*u - 14, 3*n - 113 = -4*u. Calculate the highest common divisor of o and u.", "a": "13" }, { "q": "Suppose 4*g + 21 = j, -2*j = 2*g - 149 + 117. What is the highest common factor of 1003 and j?", "a": "17" }, { "q": "Suppose 987 + 2677 = 153*i - 8. What is the highest common divisor of i and 708?", "a": "12" }, { "q": "Let c = -4751 - -4777. Calculate the greatest common divisor of c and 4342.", "a": "26" }, { "q": "Suppose 2343 + 7755 = 153*k. What is the greatest common divisor of 1012 and k?", "a": "22" }, { "q": "Suppose 51*l - 53*l = 14. Let g = l + 70. What is the highest common divisor of 18 and g?", "a": "9" }, { "q": "Let q = -44 + 76. Suppose 117*p + q = 121*p. Calculate the highest common divisor of 28 and p.", "a": "4" }, { "q": "Let b be (-6)/39 - (-2864)/26. Suppose -3*t + 3*z = -255, -5*z = t - z - b. Suppose -58*v + 606 = 26. Calculate the highest common factor of v and t.", "a": "10" }, { "q": "Let q(m) = -14*m - 3. Let b be q(-1). Suppose -3*x = b - 26. Suppose x*k = -2*k + 490. Calculate the highest common factor of k and 10.", "a": "10" }, { "q": "Suppose 9*g - 11*g = 2*l - 154, -g + 3*l = -93. What is the highest common factor of g and 252?", "a": "9" }, { "q": "Suppose 89*x = 20*x - 24372 + 97305. Calculate the highest common divisor of 7 and x.", "a": "7" }, { "q": "Let f be (1/2)/(1 + 427/(-434)). Let n = 229 - f. Calculate the greatest common factor of n and 22.", "a": "22" }, { "q": "Let v(s) = 16*s**2 - 5*s - 45. Let l be v(8). Let o = l - 269. Calculate the greatest common factor of 67 and o.", "a": "67" }, { "q": "Suppose -11*r + 484 - 44 = 0. Suppose 86 + r = 2*j. Suppose -5*z = -4*w - 72, 6*z - z - j = w. Calculate the highest common divisor of z and 96.", "a": "12" }, { "q": "Suppose -3*r + 6*d = d + 7, -11 = -r - 5*d. Let x(v) = -17 + 4*v - 6*v + r. Let k be x(-10). What is the highest common factor of k and 4?", "a": "4" }, { "q": "Let c = 4205 - 4195. What is the greatest common factor of c and 890?", "a": "10" }, { "q": "Let i(b) = -2*b**3 - 15*b**2 - 6*b - 9. Let j be i(-8). Let z = 123 - j. What is the greatest common divisor of z and 4?", "a": "4" }, { "q": "Let p = -59 + 40. Let x(c) = -c**2 - 23*c - 32. Let n be x(p). Let q be 134/6 - (-2)/(-6). Calculate the greatest common factor of q and n.", "a": "22" }, { "q": "Let u(p) = -2*p - 27 + 49 + 2*p**2 + p - 25. Let q be u(-2). What is the highest common factor of q and 315?", "a": "7" }, { "q": "Let w be (-3)/(-15) - 7/((-140)/(-3744)). Let t = -147 - w. What is the greatest common factor of t and 320?", "a": "40" }, { "q": "Let z(s) be the first derivative of -s**4/4 - 8*s**3/3 + 13*s**2 + 13*s - 74. Let v be z(-11). What is the highest common divisor of v and 10?", "a": "10" }, { "q": "Let d = -3340 + 3568. What is the greatest common factor of 84 and d?", "a": "12" }, { "q": "Let w(p) = -2*p + 2. Let r be w(2). Let a = r - -16. Suppose a = 4*v - 2*v. What is the highest common divisor of 7 and v?", "a": "7" }, { "q": "Suppose 2*n - 40 = 5*g, -66 = -4*n + 3*g + 14. Let w be (-6 - -2) + 3 + 64. Suppose -3 = r - w. Calculate the greatest common divisor of n and r.", "a": "20" }, { "q": "Let r(p) = -p**3 - 6*p**2 - 10*p - 20. Let y be r(-5). Suppose 6*v = f + 8*v - 10, -f = -y*v + 11. What is the highest common divisor of f and 8?", "a": "4" }, { "q": "Let h = 10 - -2. Suppose h*w - 39 = 57. Suppose -2*i - 4*k + 27 = -41, -4*i - 5*k = -145. What is the highest common divisor of i and w?", "a": "8" }, { "q": "Let g(a) = -19*a - 7. Let o be g(-6). Let b be (-2)/9 + 210/945. Suppose -4*n - o + 275 = b. What is the greatest common divisor of n and 6?", "a": "6" }, { "q": "Let z(v) = 2*v**2 - 5*v + 5. Let l be z(1). Suppose -2*q - l*w - 8 + 56 = 0, -3*q + 76 = w. Let j = -236 + 444. What is the greatest common divisor of q and j?", "a": "26" }, { "q": "Let a = 1089 + -1072. What is the greatest common factor of a and 27?", "a": "1" }, { "q": "Let l(y) = -2*y - 7. Let a be l(-6). Suppose -a*u + 72 = -108. What is the greatest common factor of u and 432?", "a": "36" }, { "q": "Let d(u) = 3*u - 7. Let w be d(3). Let n be (w - 9/6)*32. Let j be -4 - -1 - (-20 + n/(-4)). What is the greatest common divisor of 105 and j?", "a": "21" }, { "q": "Let v = -3614 + 3620. Calculate the highest common factor of 831 and v.", "a": "3" }, { "q": "Let x = 2 - -20. Suppose -6*k - 4*k = 14*k - 5808. Calculate the greatest common factor of k and x.", "a": "22" }, { "q": "Let p be 1 - ((-40)/2)/(-5)*1276/(-16). What is the highest common divisor of 180 and p?", "a": "20" }, { "q": "Let g be 73/1*(-17)/(20 + -37). Calculate the greatest common divisor of g and 219.", "a": "73" }, { "q": "Suppose 4*i - 4*d - 26 - 18 = 0, 2*i = 3*d + 23. Suppose -i*s + 6*s = 4. Let r = 6 - s. Calculate the greatest common divisor of 28 and r.", "a": "7" }, { "q": "Let h(j) = 6*j**2 - 30*j - 83. Let b be h(-4). Calculate the highest common factor of 70 and b.", "a": "7" }, { "q": "Let a = -1770 - -1968. Calculate the greatest common factor of 154 and a.", "a": "22" }, { "q": "Let w(o) = 13*o + 84. Let l be w(-6). Let b be 2 - 2 - ((-84)/l + 3). What is the greatest common factor of 88 and b?", "a": "11" }, { "q": "Suppose 0*f + 3*f - 37 = t, 3*t + 33 = 3*f. Let k = 14 + 12. What is the greatest common divisor of f and k?", "a": "13" }, { "q": "Let o = 16 - 20. Let i be (o - 20/(-4)) + 3. Suppose -342 - 78 = -i*w. Calculate the highest common factor of w and 15.", "a": "15" }, { "q": "Let p be (0 - -2)/(0 - 12/30). Let f be ((-1)/3)/((p/180)/1). What is the highest common factor of 60 and f?", "a": "12" }, { "q": "Let o(v) = 2*v - 5. Let q be o(6). Let t(m) = -m**2 + 2*m + 1. Let f = -62 + 64. Let h be t(f). Calculate the highest common divisor of h and q.", "a": "1" }, { "q": "Let s be (-16)/(-24) - (-38)/6. Suppose -b + s*b = 1512. Suppose -7*o + 0*o = -b. Calculate the highest common factor of 36 and o.", "a": "36" }, { "q": "Let a be (-1644)/(-15) + 2/5. Let p be 14/2*2*2310/1617. What is the greatest common divisor of p and a?", "a": "10" }, { "q": "Suppose -6*c + 0*c = -39 - 3. What is the greatest common divisor of c and 497?", "a": "7" }, { "q": "Let i be 35/15*123 - 7/(35/40). Let v = 65 + -34. Calculate the greatest common factor of i and v.", "a": "31" }, { "q": "Let o(m) = 11*m**2 + 16*m - 17. Let u(j) = -13*j**2 - 17*j + 16. Let z(f) = -6*o(f) - 5*u(f). Let r be z(-12). What is the highest common divisor of 100 and r?", "a": "10" }, { "q": "Suppose 3*j - 241 = -3*d + 194, 5*j - 3*d - 717 = 0. Let m = -182 - -623. Let o be (-1)/(-4) - m/(-28). Calculate the highest common factor of o and j.", "a": "16" }, { "q": "Suppose -5*o - 14 = 5*c - o, 7 = -4*c + o. Let t be (-1144)/30 + c/(-15). Let h = 52 + t. Calculate the greatest common divisor of 7 and h.", "a": "7" }, { "q": "Suppose w - 21*z - 51 = -19*z, w = 10*z + 35. What is the highest common divisor of w and 143?", "a": "11" }, { "q": "Suppose 2*z - l - 881 = 0, -2*l = 2*z - 893 + 9. What is the highest common factor of 693 and z?", "a": "63" }, { "q": "Suppose 2*z - 6 = 4*o, -3*o + 28 = 7*z - 2*z. What is the highest common factor of 179 and o?", "a": "1" }, { "q": "Suppose h - 1279 = -5*o, -284*h + 281*h + 765 = 3*o. Let b(f) = -16*f. Let g be b(-1). Calculate the greatest common factor of g and o.", "a": "16" }, { "q": "Suppose -2*f = -279 + 87. Let j be ((-11)/(-1))/((-5)/(-20)). Suppose -4*k + j = 3*v, -k - 4*k = 2*v - 34. What is the highest common factor of v and f?", "a": "12" }, { "q": "Let r be (64/(-10))/((-10)/25). Let w = 253 + -139. Suppose 0 = -f + 30 + w. What is the greatest common divisor of r and f?", "a": "16" }, { "q": "Let p be (-20)/60*(-34 + 1). Suppose p*w = -6*w + 952. Let g = 13 - 6. What is the greatest common divisor of w and g?", "a": "7" }, { "q": "Let a = 122 + -119. Calculate the highest common divisor of a and 201.", "a": "3" }, { "q": "Let b(n) = 71*n**2 - 4*n + 3. Let d be ((-48)/(-9) - 5)/((-2)/(-6)). Let y be b(d). What is the greatest common divisor of 14 and y?", "a": "14" }, { "q": "Let k be 2 - ((-111 - -3) + -5). What is the highest common divisor of 2645 and k?", "a": "115" }, { "q": "Suppose -22*u + 23760 = -4*u. Suppose -2*o + u = 8*o. What is the greatest common factor of 22 and o?", "a": "22" }, { "q": "Let k = -13 - -9. Let n be 2/(k + (-65)/(-16)). Suppose 3*b = -2*m + n, 5*b = 2*m - 3*m + 9. What is the greatest common factor of 171 and m?", "a": "19" }, { "q": "Suppose r - 228 = 467. Suppose 8*y - r = 2377. Calculate the highest common factor of 48 and y.", "a": "48" }, { "q": "Let j be (4 - 0)/((-37)/(-2220)). Calculate the highest common divisor of j and 432.", "a": "48" }, { "q": "Suppose -35*v + 112*v = -367 + 1753. What is the highest common divisor of v and 1602?", "a": "18" }, { "q": "Suppose -197 - 855 = -24*c + 388. Calculate the highest common divisor of c and 435.", "a": "15" }, { "q": "Let k be 1/7 + 123/21. Let u(o) = o - 12. Let d be u(-6). Let a = k - d. Calculate the greatest common factor of a and 3.", "a": "3" }, { "q": "Suppose -h + 118 = h. Suppose 2*a - 3*a + 178 = -5*u, -4*a + 117 = -3*u. Let s = u + h. Calculate the greatest common factor of s and 3.", "a": "3" }, { "q": "Suppose -4*u = 3*v - 66, -v - 2 + 16 = 4*u. Let s be 38*7 - (2 + -4 + -5). Calculate the highest common divisor of v and s.", "a": "13" }, { "q": "Let d = -2424 - -2502. What is the greatest common factor of d and 2496?", "a": "78" }, { "q": "Let d = 676 - 358. Suppose -12*n = -162 - d. Let q(b) = b + 20. Let i be q(0). Calculate the greatest common factor of n and i.", "a": "20" }, { "q": "Let l be (-1)/(-3) + 4/6. Suppose -16*s = 1407 + 945. Let z = s + 149. Calculate the greatest common divisor of z and l.", "a": "1" }, { "q": "Let m = -87 + 88. Let h be 31 - m/(-3 + 11/4). What is the greatest common factor of h and 14?", "a": "7" }, { "q": "Let z(i) = 123*i - 2901. Let k be z(26). Let j = 18 - -9. Calculate the greatest common factor of k and j.", "a": "27" }, { "q": "Let u be (-2)/(-3) - (-2090)/15. Let a(w) = 20*w + 316. Let k be a(-13). What is the greatest common divisor of k and u?", "a": "28" }, { "q": "Suppose 8*q + 118 - 150 = 0. Suppose -q*u = -33 - 107. Calculate the highest common divisor of 7 and u.", "a": "7" }, { "q": "Let z = -4034 - -6607. What is the greatest common factor of 31 and z?", "a": "31" }, { "q": "Suppose 0 = -3*i - 3, -5*u - 2*i + 8 = 10. Let f be (168 + u)/((-4)/(3 + -11)). Calculate the highest common divisor of 42 and f.", "a": "42" }, { "q": "Let a = 14 - 16. Let j(y) = -y**2 + 13*y - 11. Let g be j(11). Let q be g*(-1 - 4/a). What is the greatest common divisor of q and 11?", "a": "11" }, { "q": "Suppose 43 = -17*n - 93. Let i(o) = -4*o + 64. Let t be i(n). Calculate the highest common factor of 72 and t.", "a": "24" }, { "q": "Let g(f) be the first derivative of f**4/4 + 5*f**3/3 - 13*f**2/2 + 3*f - 71. Let v be g(-6). What is the greatest common divisor of v and 72?", "a": "9" }, { "q": "Let k = 1633 - 805. Suppose -t = 3*t - k. Suppose -3*r + 3*b = -t, -3*r + r + 141 = -5*b. What is the greatest common divisor of 34 and r?", "a": "34" }, { "q": "Let c(m) be the third derivative of -m**5/60 + 11*m**4/12 - 31*m**3/6 + 17*m**2. Let a be c(19). Calculate the greatest common divisor of 286 and a.", "a": "26" }, { "q": "Let r(y) = 3*y**3 + 18*y**2 + y - 34. Let d(c) = -c**3 - c**2 - c. Let p(z) = -2*d(z) - r(z). Let a be p(-16). What is the greatest common divisor of 48 and a?", "a": "6" }, { "q": "Suppose 0 = b - 5*j - 3038, -15268 = -8*b + 3*b - j. Calculate the highest common divisor of 43 and b.", "a": "43" }, { "q": "Suppose -3 = 5*h - 23. Suppose 3*v - 189 = -3*u, -v + 192 = 2*v + h*u. Suppose 3*k - 237 - v = 0. Calculate the greatest common factor of k and 9.", "a": "9" }, { "q": "Suppose 35*z + 6714 - 29784 = 7205. What is the greatest common divisor of 1557 and z?", "a": "173" }, { "q": "Let r be (16/(-12))/((-9)/27). Let m be ((-8)/r)/2 - (3 + -50). Calculate the highest common divisor of m and 92.", "a": "46" }, { "q": "Let t(a) = 5*a**2 - 10*a - 3. Let x be (2/(-12) - (-12)/(-18))*-6. Let u be t(x). Calculate the greatest common divisor of u and 54.", "a": "18" }, { "q": "Suppose -20 = 4*q, -3*a + 37 = 14*q - 16*q. Calculate the highest common factor of a and 2304.", "a": "9" }, { "q": "Suppose -d + 2*d = 6. Suppose d = -5*k + 26. Suppose 2*h - 2*z - 74 = 0, 5*z = -2*h + 46 - 7. Calculate the highest common divisor of h and k.", "a": "4" }, { "q": "Let h(w) = -5*w - 4. Let n(u) = -u - 27. Let i be n(-25). Let r be h(i). Calculate the greatest common divisor of r and 78.", "a": "6" }, { "q": "Suppose -12*s - 105 = 9*s. Let m be (-8)/s + 22/55. Calculate the greatest common divisor of m and 13.", "a": "1" }, { "q": "Suppose -108 = -4*v - 68. Let s be -4 - -6 - (-4)/8*v. What is the highest common factor of 175 and s?", "a": "7" }, { "q": "Let w(c) be the third derivative of 3*c**4/8 - 14*c**2 - 2. Let l be w(11). What is the greatest common factor of l and 27?", "a": "9" }, { "q": "Let r = -25 - 2. Let z = -45 - r. Let l be ((-602)/2)/(-1) + z/(-6). What is the greatest common factor of 38 and l?", "a": "38" }, { "q": "Let c be (-254*-3*4/(-16))/(6/(-36)). Calculate the highest common factor of 508 and c.", "a": "127" }, { "q": "Let n(k) = 2*k**3 - 2*k**2 - 2*k - 4. Let j be ((-192)/(-56))/8 + 25/7. Let d be n(j). Calculate the highest common divisor of d and 42.", "a": "42" }, { "q": "Suppose 14 = m - 4. Suppose 0 = -8*g + 190 + m. Suppose -9*l + 1 + g = 0. Calculate the greatest common divisor of 15 and l.", "a": "3" }, { "q": "Let c = -51 - -7. Let i be (-8)/(-6)*12/4*c. Let b be (-1)/((-16)/(-132))*i/6. Calculate the highest common factor of b and 22.", "a": "22" }, { "q": "Let q = -38 + 35. Let z = q + 8. Suppose -z*a + 28 = -42. What is the highest common factor of a and 21?", "a": "7" }, { "q": "Suppose 5*w + 159 - 1164 = 0. Suppose w - 369 = -4*n. What is the greatest common divisor of n and 28?", "a": "14" }, { "q": "Suppose -v = 2*x - 12, 5*v + 0 - 15 = 5*x. Let l be 16/12 + 46/v. What is the greatest common divisor of l and 9?", "a": "9" }, { "q": "Let g(d) = -2*d**2 + 110*d + 497. Let q be g(59). Calculate the highest common divisor of q and 125.", "a": "25" }, { "q": "Let r(j) = j + 4. Let w be r(5). Suppose -w*o - 4*x + 320 = -6*o, 4*x = 3*o - 328. Calculate the highest common factor of o and 54.", "a": "54" }, { "q": "Suppose 4137 + 3 = 4*w. Let a be 3/(-18) + w/54. Calculate the greatest common factor of 19 and a.", "a": "19" }, { "q": "Suppose -1747 = -57*q - 265. Calculate the highest common divisor of q and 1118.", "a": "26" }, { "q": "Let b(i) = 74*i - 142*i - 2 + 4*i**2 + 74*i. Let x be b(-3). What is the greatest common divisor of 24 and x?", "a": "8" }, { "q": "Suppose 0 = -42*d - 7*d - 19733 + 66283. What is the highest common divisor of d and 304?", "a": "38" }, { "q": "Suppose 69 - 101 = -8*j. Suppose -30*l + j*l = -1092. Let t be -1 + (212 - 0)/2. What is the greatest common factor of l and t?", "a": "21" }, { "q": "Suppose 43*s - 286 = 488. Suppose -4*b + 4*c = -85 - 91, 5*c = -2*b + 60. Suppose -b = -3*m + 14. Calculate the highest common factor of m and s.", "a": "18" }, { "q": "Suppose 95*o - 2192 + 292 = 0. Calculate the greatest common divisor of 390 and o.", "a": "10" }, { "q": "Suppose -44*g = 23*g - 24*g - 430. Calculate the highest common divisor of 7360 and g.", "a": "10" }, { "q": "Let r be (-9)/(-4)*(-4 + 96/18). Suppose 0 = r*x + 3*d - 522, -x + 159 = -7*d + 5*d. What is the highest common divisor of 39 and x?", "a": "13" }, { "q": "Let g be 3676/34 - 30/255. Suppose 3*z + g = 4*d, -3*d - z = 3*z - 106. Calculate the greatest common divisor of 75 and d.", "a": "15" }, { "q": "Suppose 2*x = -2*k + k + 7, -2*k = 2. Let j = 32 - x. What is the highest common divisor of j and 70?", "a": "14" }, { "q": "Let r(g) = -41*g - 25. Let m be r(7). Let u be 5/25 + m/(-15). Calculate the greatest common divisor of 231 and u.", "a": "21" }, { "q": "Suppose 0 = -4*m - 4*m + 456. Suppose -70 = -2*z + 2*u, 3*u = -5*z + 78 + m. Let x be (5 + 1)*105/14. Calculate the highest common factor of x and z.", "a": "15" }, { "q": "Suppose 0 = 2*h - h - 2. Suppose 90 = 10*c - 0*c. Suppose -68 = -c*a - 8*a. What is the highest common factor of h and a?", "a": "2" }, { "q": "Let p be (-30)/7*((1 - -4 - 86) + 4). Calculate the highest common factor of 4 and p.", "a": "2" }, { "q": "Let o(w) = -w - 2. Let r be o(-7). Suppose g = -g + 4*v + 266, 175 = g + 5*v. What is the greatest common factor of r and g?", "a": "5" }, { "q": "Let q = -20 + 18. Let b(l) = -l + 2. Let t be b(q). Suppose 14 = 4*f + 2*z, 5*z + t = 2*f + f. Calculate the highest common divisor of 1 and f.", "a": "1" }, { "q": "Let s(d) = -17*d**3 + 2*d**2 + d. Let g be (-2)/10 + (-54)/(-45). Let z be (g/1)/(-5 - -4). Let y be s(z). Calculate the greatest common factor of 9 and y.", "a": "9" }, { "q": "Let s(n) = -n**2 - 7*n + 11. Let y be s(-8). Suppose -2*d = -m - 62, y*d - 2*m - 62 = 29. Calculate the highest common divisor of d and 6.", "a": "3" }, { "q": "Let l be 9 - 6 - (-1 - -175). Let v = -127 - l. Calculate the highest common factor of 55 and v.", "a": "11" }, { "q": "Suppose 0 = 19*y - 641 + 71. Suppose k + 75 = 2*k. Calculate the highest common factor of k and y.", "a": "15" }, { "q": "Suppose 2424 - 597 = 9*h. Calculate the greatest common divisor of 116 and h.", "a": "29" }, { "q": "Let h = 4239 - 3177. What is the highest common divisor of 12 and h?", "a": "6" }, { "q": "Let a = -4992 + 5254. What is the greatest common divisor of a and 3537?", "a": "131" }, { "q": "Let a(y) be the first derivative of 2*y**3/3 + 2*y**2 - 2*y - 18. Let q be a(1). Calculate the highest common divisor of q and 38.", "a": "2" }, { "q": "Let u(o) = -o**3 - 47*o**2 + 70*o + 284. Let w be u(-49). What is the greatest common factor of 690 and w?", "a": "138" }, { "q": "Let z(d) be the third derivative of d**5/20 + d**4/6 - d**3/2 + 64*d**2. Let p be z(1). What is the highest common divisor of 14 and p?", "a": "2" }, { "q": "Suppose 17*r + 128 = 4*q + 16*r, 0 = 5*q + 5*r - 135. Calculate the highest common factor of q and 9.", "a": "1" }, { "q": "Let w be (-19)/(1140/800)*9/(-2). Calculate the highest common factor of w and 78.", "a": "6" }, { "q": "Let i(g) = -2*g**2 - 8*g + 11. Let n be i(-6). Let o = 70 + n. What is the greatest common divisor of 95 and o?", "a": "19" }, { "q": "Suppose -1579*z = -1589*z + 10. Suppose -5*n + 130 = -5*t, -3*n + 122 = 2*n + 3*t. What is the greatest common divisor of z and n?", "a": "1" }, { "q": "Let y be 3/1*40/6. Let n(b) be the second derivative of -b**5/10 - 2*b**2 + 27*b. Let w be n(-3). What is the highest common factor of w and y?", "a": "10" }, { "q": "Let q = 14 + -6. Let n = 26 + -22. Suppose n*w + 34 = 8*w + 2*b, 2*b = -w + 10. Calculate the highest common factor of w and q.", "a": "8" }, { "q": "Let d = 41 - 36. Suppose 3*z - 109 = -q + 251, d*q - 1857 = 4*z. Calculate the highest common divisor of 41 and q.", "a": "41" }, { "q": "Let r(l) = 156*l - 241. Let u be r(2). Calculate the highest common divisor of u and 71.", "a": "71" }, { "q": "Suppose -u + 28 - 24 = 0. Calculate the greatest common factor of u and 378.", "a": "2" }, { "q": "Let p be (-45)/(-2)*(-2266)/(-33). What is the greatest common factor of 60 and p?", "a": "15" }, { "q": "Let h(a) = a**3 + 18*a**2 - a + 53. Let l be h(-19). Let t = -164 - l. Calculate the greatest common divisor of t and 100.", "a": "25" }, { "q": "Suppose 3*z - 3*b - 459 = 0, 2*b = 4*b. Let m = 268 - z. What is the greatest common divisor of 23 and m?", "a": "23" }, { "q": "Let f(w) = -29*w + 424. Let j be f(14). What is the greatest common factor of j and 870?", "a": "6" }, { "q": "Let r(y) = y**3 + 53*y**2 - 77*y - 774. Let o be r(-54). Calculate the greatest common factor of o and 360.", "a": "36" }, { "q": "Let g = -3236 + 3422. Calculate the highest common factor of 4650 and g.", "a": "186" }, { "q": "Let t = -2468 + 2800. Calculate the highest common factor of t and 2158.", "a": "166" }, { "q": "Let h = -1442 + 5376. What is the greatest common divisor of h and 14?", "a": "14" }, { "q": "Let h = -4748 - -10812. What is the highest common factor of h and 16?", "a": "16" }, { "q": "Let q = 725 + -702. Calculate the greatest common factor of 9 and q.", "a": "1" }, { "q": "Let c = 12243 - 8623. What is the greatest common divisor of 40 and c?", "a": "20" }, { "q": "Let r = 4784 + -4743. What is the greatest common divisor of r and 1517?", "a": "41" }, { "q": "Suppose -c = -9*c - 176. Let f = c + 66. Let b be 202/18 - (-4)/(-18). Calculate the greatest common factor of b and f.", "a": "11" }, { "q": "Let c = -3275 - -3322. What is the highest common factor of c and 893?", "a": "47" }, { "q": "Let c = 31633 + -31565. Suppose 0 = -4*r - 28 + 96. Calculate the highest common divisor of c and r.", "a": "17" }, { "q": "Let p(t) = t**2 + 5*t - 8. Let g be p(-7). Let y = -50 + 40. Let b be ((-5)/(-2))/(y/(-120)). Calculate the highest common divisor of g and b.", "a": "6" }, { "q": "Let v(j) = 10*j**3 - 161*j**2 + 22*j - 24. Let r be v(16). Calculate the greatest common factor of 378 and r.", "a": "18" }, { "q": "Let u = 2827 + -2433. Calculate the highest common divisor of u and 2.", "a": "2" }, { "q": "Let q = 5 + 2. Let t = 110 + -106. Suppose 10 = t*c + 2, 4*m + 3*c - 10 = 0. Calculate the highest common divisor of m and q.", "a": "1" }, { "q": "Let d = -116 - -174. Suppose 0 = -3*w - i + 259, 340 = 4*w + i + 3*i. Calculate the greatest common divisor of d and w.", "a": "29" }, { "q": "Let n be 3366/10 - (13 - 744/60). Calculate the highest common divisor of 448 and n.", "a": "112" }, { "q": "Suppose 102859 = 187*f - 27293. What is the greatest common factor of f and 290?", "a": "58" }, { "q": "Let x(b) = -7*b + 115. Let p be x(15). Suppose -2*v + 3*z = 6*z, 4*z + p = -v. What is the greatest common divisor of v and 45?", "a": "3" }, { "q": "Suppose 0 = d + 3*p + 19 - 89, 5*p = -d + 64. What is the greatest common divisor of d and 1343?", "a": "79" }, { "q": "Let t be (27 - 3)*(-38)/(-6). Calculate the highest common factor of t and 56.", "a": "8" }, { "q": "Suppose -5*u + 3*a = 942, 2*u - 10*a = -8*a - 376. Let p = -174 - u. Let s = 2 - -4. Calculate the highest common divisor of p and s.", "a": "3" }, { "q": "Suppose 4*q - 2*q + 23*q - 1375 = 0. What is the highest common divisor of 65 and q?", "a": "5" }, { "q": "Let m(q) = 15*q**2 + 3*q - 19. Let g be m(-2). What is the highest common factor of g and 6755?", "a": "35" }, { "q": "Suppose 29*o = 101 + 305. Suppose 4*i = 13 - 1, -3*y + 5*i = 0. Let a be 4 + -7 + 2*y. What is the greatest common divisor of o and a?", "a": "7" }, { "q": "Let m = -371 - -512. Suppose -32 = -2*l - 182. Let b = l + m. Calculate the highest common divisor of b and 6.", "a": "6" }, { "q": "Let b(p) = 126*p**2 + 91*p + 371. Let r be b(-4). Calculate the greatest common factor of 7 and r.", "a": "7" }, { "q": "Let d = -111 + 113. Suppose f - 96 = -d*w - 0*w, 4*f + 76 = 2*w. Calculate the greatest common factor of 115 and w.", "a": "23" }, { "q": "Suppose -2*m - 78 = -2*t, -5*m - 3*t = 2*t + 245. Let n = -41 - m. Suppose 3*d - 1 = 4*k - 22, -16 = -n*k + 2*d. What is the highest common factor of k and 54?", "a": "6" }, { "q": "Let b = 139 - 132. Suppose -b*m + 8*m = 247. Calculate the highest common divisor of m and 13.", "a": "13" }, { "q": "Let p(k) = k**2 + 11*k + 38. Let t be p(-20). Calculate the highest common factor of t and 109.", "a": "109" }, { "q": "Let m be -1 + -58*(-2 - 2). Suppose -3*c - m = -6*c. Suppose -9*b + c = -4. What is the greatest common factor of 81 and b?", "a": "9" }, { "q": "Let o be (39/(-6))/((-1)/(-2)) + 1. Let u(n) = n**3 + 11*n**2 - 14*n - 14. Let l be u(o). What is the greatest common divisor of l and 110?", "a": "10" }, { "q": "Let k = 167 + -136. Suppose 32*b - 81 = k*b. What is the greatest common divisor of b and 9?", "a": "9" }, { "q": "Suppose 5*f = 2*p - 38, 5*p - 103 - 27 = -5*f. Suppose -29*u = -27*u - p. Let i be (-46)/(-4) - (-2)/4. What is the highest common factor of u and i?", "a": "12" }, { "q": "Suppose -m + 25 = -118. Suppose g = -0*g - 15. Let y be (1 - 3 - g)/1. What is the highest common factor of y and m?", "a": "13" }, { "q": "Let f(r) = 3*r - 10. Let i be f(9). Suppose -1845 - 705 = -30*h. What is the highest common factor of h and i?", "a": "17" }, { "q": "Let y = 154 - 82. Suppose 4*u - 5*u = -y. Suppose n = 3*c - 2*n - u, -3*c + 40 = 5*n. Calculate the greatest common factor of c and 20.", "a": "20" }, { "q": "Let k(d) = 4*d**2 + 15*d + 3. Suppose 3*z = -2*a - 18, -3*z + 5 = -2*z - 3*a. Let x be k(z). Calculate the highest common factor of 175 and x.", "a": "7" }, { "q": "Suppose 3*l - 17 = 7. Suppose 0 = 2*d - 54 - 74. What is the highest common divisor of l and d?", "a": "8" }, { "q": "Suppose 2*n - 2130 = n + 2*f, 0 = -2*n - 2*f + 4272. What is the highest common divisor of n and 776?", "a": "194" }, { "q": "Let i = -224 - -216. Let d(m) = -m**2 - 16*m - 12. Let a be d(i). Calculate the greatest common factor of 26 and a.", "a": "26" }, { "q": "Suppose q = 4*p - 4473, -31*p + 33*p - 2239 = 3*q. Calculate the greatest common divisor of p and 52.", "a": "26" }, { "q": "Suppose 3*d - c = 184, -46 = 2*d + 2*c - 158. What is the highest common factor of 320 and d?", "a": "20" }, { "q": "Suppose 0 = -2*v + 5*r + 397 + 50, -3*v + 674 = -4*r. Let a = v - 151. Let h be (-50)/(-15)*(-6 - -3)*-3. What is the greatest common factor of a and h?", "a": "15" }, { "q": "Let d = -50 - 58. Let x = d + 168. What is the greatest common divisor of x and 45?", "a": "15" }, { "q": "Suppose 5*f = 3*u + 35, -f - 5*u - 21 = -4*f. Suppose 14*v = -f*v + 693. Calculate the greatest common divisor of 77 and v.", "a": "11" }, { "q": "Suppose -20*t + 3*t = -1264 - 759. Calculate the highest common divisor of 1411 and t.", "a": "17" }, { "q": "Let f = -11 - -14. Suppose -15 = -f*t - 0*t. Suppose 9 = -4*h + 29, t*l + h - 210 = 0. What is the greatest common divisor of 41 and l?", "a": "41" }, { "q": "Suppose -i - 4*g = -7, 0 = 9*i - 13*i + g + 62. Let z = i - 3. Calculate the greatest common divisor of 228 and z.", "a": "12" }, { "q": "Let c = 52 - 49. Suppose 5*k - 3*d - 54 = 0, -c*d = -7*d - 12. Calculate the highest common factor of 63 and k.", "a": "9" }, { "q": "Let w = 35 - 74. Let a = w - -50. Let v be a + (-1 - (-3 + 1)). What is the greatest common factor of v and 24?", "a": "12" }, { "q": "Let p be 2/4 + 5/2. Let o be (5 - 5)/(1/1). Suppose 5*i + 0*i - 3*h - 15 = o, 44 = 4*i + 4*h. What is the highest common divisor of i and p?", "a": "3" }, { "q": "Let s be 201/6 - (-3)/6*-1. What is the highest common factor of 264 and s?", "a": "33" }, { "q": "Suppose 68*u = -27*u + 6*u + 9968. Calculate the greatest common factor of 133 and u.", "a": "7" }, { "q": "Suppose 148*n - 289 = 146*n + z, -z - 579 = -4*n. What is the greatest common factor of n and 464?", "a": "29" }, { "q": "Suppose 0 = 4*m + 5*q - 448, -66 + 402 = 3*m + 5*q. Let a be ((-6)/12)/(2/(-72)). Let y = -2 + a. Calculate the highest common factor of m and y.", "a": "16" }, { "q": "Let d be ((-2)/(-3))/(4/(-822)). Let x = -89 - d. Let g be ((-27)/6)/(-9)*12. What is the highest common factor of g and x?", "a": "6" }, { "q": "Let y(j) be the third derivative of -53*j**6/120 - j**5/30 + j**3/3 + 11*j**2. Let t be y(-1). What is the greatest common divisor of t and 265?", "a": "53" }, { "q": "Let v(n) = -n**3 - 8*n**2 - 4*n + 8. Let k be 73/(-7) - 51/(-119). Let q be v(k). Suppose -8*d + 184 + q = 0. Calculate the highest common divisor of d and 81.", "a": "27" }, { "q": "Let y be (0 - (-3948)/24)*32. What is the greatest common divisor of y and 16?", "a": "16" }, { "q": "Suppose -6*o = 7*o + 494. Let y = 63 + o. Let x(s) = 9*s**2 + 1. Let l be x(1). What is the greatest common factor of l and y?", "a": "5" }, { "q": "Suppose 5539 = 81*j + 110*j. Suppose 4*h - 145 = -h. Calculate the greatest common factor of h and j.", "a": "29" }, { "q": "Suppose -4*u = -o - 149, -3*o - 2*u + 457 = -6*o. Let f be -3 - 1 - (-17)/(o/(-576)). Let w = 69 - 45. What is the greatest common factor of w and f?", "a": "12" }, { "q": "Let i be (-117)/(-24) - -3 - 2/(-16). Let h be (-821)/(-2) + i - 1/2. What is the highest common factor of h and 22?", "a": "22" }, { "q": "Let y = -182 - -185. Suppose 4*x - y*t - 16 = 0, 4*x + 8 = 8*x - t. What is the highest common divisor of 5 and x?", "a": "1" }, { "q": "Let c be 31 + (3 - (3 - -5)) + 6. What is the highest common factor of c and 3600?", "a": "16" }, { "q": "Let g be 6/(6 - 37*246/1518). What is the greatest common factor of g and 276?", "a": "138" }, { "q": "Let q(a) = a**3 + 4*a**2 - 3*a - 1. Let c be q(-4). Let d(t) = 14 + 11*t - 23*t - 60 - 9. Let h be d(-11). What is the greatest common factor of h and c?", "a": "11" }, { "q": "Let z = 646 - 454. Let q(t) = -28*t - 8. Let n be q(-2). Calculate the greatest common factor of z and n.", "a": "48" }, { "q": "Suppose -4*z + 22 = 2. Suppose -4 = z*f + 71. Let g be 73/3 + (-10)/f. What is the highest common divisor of 225 and g?", "a": "25" }, { "q": "Suppose 16*w - 180 = 17*w. Let z = -173 - w. What is the greatest common factor of z and 77?", "a": "7" }, { "q": "Suppose 4*q = -5*a + 23, -a - 2*q = -4*q + 1. Let z(x) = 8 + 2*x - 3*x - x**3 - 4*x**2 + 2*x**a. Let y be z(5). What is the greatest common divisor of y and 7?", "a": "7" }, { "q": "Let q(z) = -z**3 + 8*z**2 - 8*z + 1. Let r be q(6). What is the greatest common divisor of r and 225?", "a": "25" }, { "q": "Suppose 5*c - h = 43, 5*c - 2*c + 3*h = 33. Suppose 252 = -c*o + 15*o. Calculate the highest common divisor of 28 and o.", "a": "14" }, { "q": "Suppose 0 = -2*f - x + 7207, -15*f + 19*f - 14429 = -5*x. Calculate the greatest common divisor of f and 26.", "a": "13" }, { "q": "Let j be (29 + -1)/((-24)/(-78)). Calculate the highest common divisor of j and 117.", "a": "13" }, { "q": "Let v = -3061 + 3840. Calculate the highest common divisor of v and 123.", "a": "41" }, { "q": "Suppose 3*w + 282*v = 286*v + 52, -2*w - 4*v = -68. Calculate the highest common divisor of w and 648.", "a": "24" }, { "q": "Suppose -5*p - 8*z + 6*z = -148, 0 = -2*p - 4*z + 72. Suppose 0*c - c = -5. Suppose c*v - v = 784. What is the highest common divisor of v and p?", "a": "28" }, { "q": "Suppose -5*l = -6*d - 735, -5*l - d = -1184 + 414. Calculate the highest common factor of l and 85.", "a": "17" }, { "q": "Suppose 0 = y - 56 - 39. Suppose -2*t = 3*t - y. Let p(c) = c**2 + 2*c - 15. Let l be p(-16). Calculate the highest common divisor of t and l.", "a": "19" }, { "q": "Let q be 68/(-11) + 8/44. Let w be 15/5 + q - -96. Calculate the greatest common divisor of 62 and w.", "a": "31" }, { "q": "Suppose 0 = 5*w - 4*i - 440, -6*w + 10*w - 311 = -5*i. Calculate the greatest common factor of 36 and w.", "a": "12" }, { "q": "Let h be (16/(-6))/(-2) + 130/15 + -2. What is the highest common factor of 1096 and h?", "a": "8" }, { "q": "Let t(h) = h + 2. Let f(k) = -k - 3. Let z(d) = -5*f(d) - 4*t(d). Let s be z(5). Let u be 14/1 + 3 - 4/(-4). What is the highest common divisor of u and s?", "a": "6" }, { "q": "Let n = -206 - -212. Let w be (3 + 9/n)*2. Suppose -6 = -2*g + z, -2*g + 2 = 5*z - 4. Calculate the greatest common divisor of g and w.", "a": "3" }, { "q": "Let r(j) = 303*j**3 + j**2 + 3*j + 2. Let s be r(-1). Let d = s + 540. Suppose 825 = 6*b + d. Calculate the greatest common factor of b and 14.", "a": "14" }, { "q": "Let k(u) = -13 - 5 + 18*u - 14*u. Let r be k(5). Let b be (-6)/(12/(-95)) + 1/r. What is the greatest common divisor of b and 12?", "a": "12" }, { "q": "Let k be 0 + 4 + -6*(5 + -4). Let p(n) = 2*n**2 - 11*n - 22. Let s be p(k). Suppose 27 = w + 11. What is the highest common divisor of w and s?", "a": "8" }, { "q": "Let n be 1/(5/(-15)) - -9. Let l be (-374)/(-66) - (-2)/n. Suppose -107 = -l*c + 13. What is the highest common divisor of 30 and c?", "a": "10" }, { "q": "Suppose j - 4*z = -j + 20, 0 = -3*j - z + 30. Suppose -j*w = -91 - 419. What is the greatest common divisor of w and 136?", "a": "17" }, { "q": "Suppose 6*w - 147 = -21. Suppose -3*h + u + 10 = 3*u, 5*u = 4*h - w. Suppose h*a - 10*a + 576 = 0. Calculate the greatest common divisor of a and 12.", "a": "12" }, { "q": "Suppose 5*w = -4*i + 41, -3*i = -3*w + 14 - 11. Suppose 30 = i*m + 2. Suppose 2*t - 98 = 28. What is the highest common divisor of m and t?", "a": "7" }, { "q": "Let y(k) = 6*k - 78. Let t be ((-8)/4)/((-4)/38). Let z be y(t). Calculate the greatest common factor of z and 9.", "a": "9" }, { "q": "Suppose 0*o + 3*o - 5*m = 200, m + 304 = 5*o. Let a = 75 - o. Suppose v - 75 = 90. What is the greatest common factor of v and a?", "a": "15" }, { "q": "Suppose 3*d - 4 = -2*s, 7*d - 6 = -3*s + 8*d. Let r = 4 + -6. Let k be 19 + s + 10/r. Calculate the greatest common divisor of 176 and k.", "a": "16" }, { "q": "Let q(c) = -c**3 + 6*c**2 - 2*c - 2. Let f be q(4). Let j = 65503 - 65426. Calculate the highest common factor of f and j.", "a": "11" }, { "q": "Let l be 2/(-3) - (-472)/24. Let s = -117 + 174. What is the greatest common divisor of l and s?", "a": "19" }, { "q": "Let k be ((-3)/(-2) - 2)*2. Let n be 27/(-12) + k + 5/4. Let c be 6/n - -3*8/3. Calculate the highest common factor of 5 and c.", "a": "5" }, { "q": "Let k be 2 + 2 + (0 - 4). Let z be 8*18 + k + -1. Suppose -50*u + 217 + 433 = -0*u. Calculate the greatest common divisor of z and u.", "a": "13" }, { "q": "Let a be (-456)/(-18) + 2/3. Let m be 5/(0 + 2/a). Let h be ((-130)/25)/(4/(-10)). Calculate the greatest common factor of m and h.", "a": "13" }, { "q": "Suppose 5*f - 3*j - 53 = 0, 4*f - 60 = -0*f - 2*j. Suppose -f*o = -80 - 258. Calculate the greatest common divisor of o and 208.", "a": "26" }, { "q": "Let m be 12 - (-2 - -2 - 196). What is the highest common divisor of m and 304?", "a": "16" }, { "q": "Suppose -3*o - 33*h = -38*h - 5, 2*h - 60 = -5*o. What is the greatest common factor of 640 and o?", "a": "10" }, { "q": "Let j be (468/(-14))/((-13)/(-91)*-1). Calculate the highest common divisor of 378 and j.", "a": "18" }, { "q": "Let a be (54/(-45))/(2/(-75)). Suppose 36*c = a*c - 18. Calculate the greatest common divisor of 34 and c.", "a": "2" }, { "q": "Suppose -20*p = -40*p + 23*p - 7128. Calculate the highest common factor of 88 and p.", "a": "88" }, { "q": "Suppose -40*x + 215*x = 2221 + 4079. Let g(l) = -12*l**3 - l**2 + l. Let p be g(-2). What is the greatest common divisor of p and x?", "a": "18" }, { "q": "Let d(b) = -b**3 + 9*b**2 + 151*b - 99. Let v be d(16). Calculate the greatest common divisor of v and 75.", "a": "75" }, { "q": "Suppose -4*a - 2*w - 181 = -w, 0 = w + 5. Let i = 49 + a. Suppose i*v - 107 - 303 = 0. What is the highest common divisor of v and 123?", "a": "41" }, { "q": "Let a(y) = 11*y + y - y**2 + 26 - 18*y - 27. Suppose n - 2*o - 5 = 0, -n - 3*n + 4 = -4*o. Let q be a(n). What is the greatest common divisor of 2 and q?", "a": "2" }, { "q": "Let u = -2 + 5. Suppose 2 = -q + u*q. Let n be ((-2)/12)/((-3)/90). Calculate the greatest common factor of q and n.", "a": "1" }, { "q": "Let l(y) = 4*y**2 - 31*y - 104. Let a be l(-6). Calculate the highest common divisor of 565 and a.", "a": "113" }, { "q": "Let n be (-7)/((-21)/9) - -72. Suppose 3*p - 73 = 17. Suppose 4*v + p - 90 = 0. What is the greatest common divisor of n and v?", "a": "15" }, { "q": "Suppose -2*k = 4*r - 2648 + 556, -5*k + 5209 = 3*r. What is the highest common factor of k and 2?", "a": "2" }, { "q": "Suppose -79*n = -23*n - 2883 - 1821. Let x = 21 + 0. Calculate the greatest common factor of n and x.", "a": "21" }, { "q": "Let g be 6/4*36/162*3. What is the highest common factor of g and 27?", "a": "1" }, { "q": "Let s(l) = -4*l - 48. Let o be s(-20). Let i be (96/(-9))/((-6)/27). Calculate the greatest common factor of o and i.", "a": "16" }, { "q": "Suppose 0 = -l + i + 5, 2*i + 2*i = l - 14. Let d(n) = 15*n**2. Let b be d(l). Let h be (-6)/5*625/(-50). Calculate the highest common divisor of h and b.", "a": "15" }, { "q": "Suppose -4*p + 16 = -8. Suppose 0 = -5*f - 2*r + 519, -573 = -5*f + 2*r - 42. Let b be 3/2 - f/(-10). What is the greatest common factor of b and p?", "a": "6" }, { "q": "Let y(t) = 6*t + 14. Let i be y(5). Let q = i + 136. Suppose -q = -7*r + 9. What is the greatest common divisor of 18 and r?", "a": "9" }, { "q": "Suppose -4*k = 5*o - 55, -11 + 2 = -3*o. Let r = -13183 + 13193. Calculate the highest common divisor of r and k.", "a": "10" }, { "q": "Suppose -1014 + 7350 = 132*z. Calculate the highest common divisor of 30 and z.", "a": "6" }, { "q": "Let u(r) = 8*r**2 + 10*r - 1. Let x(d) = -5*d + 23. Let j be x(6). Let h be u(j). Suppose -5*w + h + 174 = 0. What is the highest common factor of w and 11?", "a": "11" }, { "q": "Suppose -28*b + 15*b = -65. Suppose 2*j - 37 = 4*o - b, -5*o = 3*j - 37. Calculate the greatest common factor of j and 49.", "a": "7" }, { "q": "Let h be (-6)/(-9) - (-3982)/66. Let t = 365 - 182. What is the greatest common factor of t and h?", "a": "61" }, { "q": "Let p(w) = w**3 + w**2 + 1. Let a(y) = 5*y**3 - 2*y**2 + 4*y + 19. Let q(j) = -a(j) + 3*p(j). Let t be q(-4). What is the greatest common factor of 16 and t?", "a": "16" }, { "q": "Let x = 2 - -1. Suppose -h = -0*c - c - 28, x*h - 88 = 4*c. Let j be ((-128)/12 + 4)*(-432)/15. What is the greatest common factor of h and j?", "a": "24" }, { "q": "Let v(b) be the second derivative of -11*b**3/6 - 9*b**2 - 2*b + 10. Let c be v(-9). What is the highest common factor of c and 54?", "a": "27" }, { "q": "Suppose -3*t = -4*r + 469 - 1009, -2*t - 2*r + 360 = 0. Calculate the greatest common factor of t and 140.", "a": "20" }, { "q": "Let w(o) = 3*o - 50. Let h be (4 + (-18)/4)*-40. Let k be w(h). Suppose 0 = t - 54 + k. Calculate the greatest common factor of t and 11.", "a": "11" }, { "q": "Let i(j) = -2*j**2 + 61*j + 414. Let g be i(36). What is the highest common divisor of g and 2286?", "a": "18" }, { "q": "Suppose -9258 = -293*d + 290*d + a, d - 3096 = -3*a. Calculate the greatest common divisor of 9 and d.", "a": "9" }, { "q": "Let b(l) = -8*l - 19 - 5*l - l + 20*l. Let k be b(4). Suppose r - 42 = -3*c, k*r - c = -2*c + 154. Calculate the highest common factor of 10 and r.", "a": "10" }, { "q": "Let b be ((-4)/(-10))/((-1)/(-220)). Suppose 13 = 5*u - 7. Suppose u*j + 5*s - 108 = s, 0 = 2*j - 4*s - 24. What is the greatest common divisor of b and j?", "a": "22" }, { "q": "Suppose -85*g - 10 = -80*g. Let j be 7 + 0 + 1 + g. Suppose 2*l + 6 = 36. What is the highest common divisor of j and l?", "a": "3" }, { "q": "Let a(u) = -u**3 - 19*u**2 + 100*u + 216. Let w be a(-23). What is the highest common factor of w and 928?", "a": "32" }, { "q": "Let t = -3189 + 3253. Calculate the highest common factor of t and 976.", "a": "16" }, { "q": "Suppose 3*b = -2*b + 20. Let a be ((-7 - b) + 0)/((-2)/18). What is the highest common factor of 18 and a?", "a": "9" }, { "q": "Suppose 3*z - 93 = -a, -3*a + 4*z + 257 - 30 = 0. Let f = 189 - 87. Let b = 156 - f. What is the greatest common factor of a and b?", "a": "27" }, { "q": "Let l(k) = 22*k - 1227. Let h be l(76). Calculate the highest common divisor of h and 979.", "a": "89" }, { "q": "Let t be (-18)/8*16/(-3). Let b(h) = -7 - 13 - 14*h**2 - 4*h**3 + 5*h**3 - 30*h. Let l be b(16). What is the greatest common divisor of t and l?", "a": "12" }, { "q": "Let q(o) = -30*o**2 + 10 + 1 + 28*o**2 + 14 - 27*o. Let m be q(-13). Calculate the greatest common divisor of m and 76.", "a": "38" }, { "q": "Suppose -108 - 76 = -8*t. Let d = 11 - 8. Let i be 115 - (3 + 0 - d). Calculate the greatest common factor of i and t.", "a": "23" }, { "q": "Let n(c) = 314*c - 1546. Let j be n(5). What is the highest common factor of 74 and j?", "a": "2" }, { "q": "Let c(v) = 2*v - 5. Let a be c(2). Let p be a*(-32)/(-20)*5/(-2). Let t be -3 + 44/16 + 33/p. What is the greatest common factor of t and 16?", "a": "8" }, { "q": "Let q(a) = 158*a**2 + 32*a + 3. Let p be q(5). Calculate the greatest common factor of p and 9.", "a": "9" }, { "q": "Let m = 2990 + -2914. Calculate the highest common divisor of m and 2470.", "a": "38" }, { "q": "Suppose 4*b = -5*t + 425, 4*t - 32*b - 304 = -28*b. What is the highest common factor of 1674 and t?", "a": "27" }, { "q": "Suppose -18*q + 15*q = -7 - 8. Calculate the highest common factor of q and 320.", "a": "5" }, { "q": "Let v(k) be the first derivative of 28*k**3/3 + 3*k**2/2 - k - 6. Let f be v(-2). Let s = f + -55. What is the greatest common divisor of s and 5?", "a": "5" }, { "q": "Let q be (-10)/6*(174/(-15) + 8). Let l be -2*((-51)/q - -1)/3. Let i = -67 + 102. Calculate the highest common factor of i and l.", "a": "5" }, { "q": "Suppose -12*m + 3227 + 139 + 570 = 0. Calculate the highest common divisor of m and 820.", "a": "164" }, { "q": "Let c be (((-1)/(-1))/(-1))/(4/(-228)). Let p = 27 - c. Let w = 40 + p. Calculate the greatest common divisor of 4 and w.", "a": "2" }, { "q": "Suppose -190*i + 195*i + 670 = 0. Let y = i + 142. What is the highest common divisor of y and 16?", "a": "8" }, { "q": "Suppose -9 = 5*d + 1. Let f be -91 + 95 + (8*-89)/d. Calculate the highest common divisor of f and 40.", "a": "40" }, { "q": "Suppose 27*q = 180 + 90. Let c(n) = n**2 - 6*n - 16. Let v be c(q). Calculate the highest common factor of v and 168.", "a": "24" }, { "q": "Suppose 0 = -4*b - 4, 0 = -820*s + 817*s - b + 6287. What is the highest common factor of s and 16?", "a": "16" }, { "q": "Suppose -12066 = -135*l - 4236. Calculate the highest common divisor of l and 3074.", "a": "58" }, { "q": "Let u(i) = -63*i + 112. Let s be u(-6). What is the greatest common factor of 10 and s?", "a": "10" }, { "q": "Suppose -5*g = 177 + 203. Let y = -51 - g. Suppose 0*k + k = 100. Calculate the greatest common factor of y and k.", "a": "25" }, { "q": "Let l = 1078 + -886. Calculate the highest common divisor of 39 and l.", "a": "3" }, { "q": "Let c(u) = -u**3 - 2*u**2 - u - 35. Let v be c(0). Let d be ((-91)/v + -2 + -1)*-340. What is the highest common factor of 8 and d?", "a": "8" }, { "q": "Suppose 5*c - 4040 = 2*f, 19*c - 18*c - 3*f = 795. Calculate the highest common divisor of c and 60.", "a": "30" }, { "q": "Let r = -86 - 44. Let f = -97 - r. Calculate the greatest common divisor of 297 and f.", "a": "33" }, { "q": "Let q(i) = 24*i**3 - 8*i**2 - 37*i + 246. Let f be q(6). Calculate the highest common factor of 15 and f.", "a": "15" }, { "q": "Let x be (-23 - (-2 - -3)) + 4. Let v be 1386/35 + 2 + 32/x. What is the greatest common factor of 40 and v?", "a": "40" }, { "q": "Suppose -4*k + b = -387, -209*b + 214*b = -15. What is the highest common divisor of 264 and k?", "a": "24" }, { "q": "Suppose 3 = -k + 69. Suppose -4*s + 3*c + 157 = 0, 4*c = 2*s - 0*c - k. Suppose 0 = -h - s + 133. Calculate the greatest common factor of 9 and h.", "a": "9" }, { "q": "Let a = 338 + -333. Calculate the highest common divisor of 965 and a.", "a": "5" }, { "q": "Suppose -5*i = -2*i - 6. Suppose -2 = 2*x + 3*u, -4*x + 221 = -u + 183. Calculate the greatest common divisor of x and i.", "a": "2" }, { "q": "Let p(l) = l**3 + 21*l**2 - 64*l - 94. Let i be p(-21). Calculate the highest common factor of 150 and i.", "a": "50" }, { "q": "Let r = 4516 + -4329. What is the greatest common divisor of 17 and r?", "a": "17" }, { "q": "Suppose -19*s = -18*s + 18. Let c be -30*(4/s + 7/(-63)). What is the highest common factor of c and 45?", "a": "5" }, { "q": "Suppose 1153 = 8*j + 337. Let v be ((-84)/(-63))/(4/j). Calculate the highest common divisor of 51 and v.", "a": "17" }, { "q": "Suppose 3*v - 5*u = -0*v + 23, -4*v + 8 = -u. Let p(k) = 96*k + 14. Let y be p(v). What is the highest common factor of 10 and y?", "a": "10" }, { "q": "Suppose 4*k + 2 = 5*p, 18 + 0 = 5*p + 4*k. Let i(l) = 28*l - 5. Let r be i(p). What is the highest common factor of r and 306?", "a": "51" }, { "q": "Suppose 2*z - v - 14 = 0, -24*z + 21 = -21*z + 5*v. Suppose z*i = 7 + 84. Let o(w) = 60*w - 3. Let n be o(2). Calculate the greatest common divisor of n and i.", "a": "13" }, { "q": "Suppose -2*i + 7 + 9 = 0. Let t be ((-12)/(-8))/(3/50). Suppose -15*h - t + 85 = 0. Calculate the highest common divisor of i and h.", "a": "4" }, { "q": "Suppose 145 = 4*h - 5*o, -4*h + 171*o = 167*o - 148. What is the greatest common divisor of h and 145?", "a": "5" }, { "q": "Suppose 0 = -20*b + 52341 + 49539. What is the greatest common factor of 9 and b?", "a": "9" }, { "q": "Suppose 0*b - 220 = -4*b. Let p = -50 + b. Let d(g) = g**3 - 5*g**2 + 6. Let k be d(p). Calculate the greatest common divisor of 48 and k.", "a": "6" }, { "q": "Let n(z) = -z**2 + 10*z + 20. Suppose -8*h + 1 = 17. Let c be ((-32)/(-40))/(1/((-25)/h)). Let k be n(c). Calculate the greatest common divisor of k and 80.", "a": "20" }, { "q": "Let d = 1090 + -1088. Calculate the greatest common factor of d and 34.", "a": "2" }, { "q": "Let w(t) = -2*t**3 - 7*t**2 - 56*t - 357. Let m be w(-10). Calculate the greatest common factor of m and 18.", "a": "9" }, { "q": "Let g = 6883 + -6851. Let u be (2 - 0) + -1*9. Let l = u + 23. What is the highest common divisor of l and g?", "a": "16" }, { "q": "Suppose -270 = 8*k + k. Let p(l) = l**2 + 24*l + 9. Let g be p(k). What is the greatest common divisor of g and 7?", "a": "7" }, { "q": "Let a = 36 + -33. Suppose -3*r + 9 = 0, -a*r = 5*t - r + 99. Let p be -6*6/(-21) - 6/t. What is the greatest common factor of p and 1?", "a": "1" }, { "q": "Suppose a = -22*k + 24*k - 4922, -2*k = -4*a - 4922. Calculate the greatest common factor of k and 23.", "a": "23" }, { "q": "Let z be ((-20 - -2) + 7)/(-3 + (-1304)/(-436)). What is the highest common factor of 436 and z?", "a": "109" }, { "q": "Let t be (-1 + (-62)/2)/((-484)/968). What is the greatest common divisor of t and 40?", "a": "8" }, { "q": "Let k = 181 + -219. Let i = k - -90. Calculate the greatest common divisor of 13 and i.", "a": "13" }, { "q": "Let v = 3770 + -2132. Calculate the highest common divisor of 126 and v.", "a": "126" }, { "q": "Let s(t) = 4*t + 17. Let b be (-2 - 15/(-12))*-4. Suppose -b*d = -4*d + 4. Let f be s(d). Calculate the greatest common divisor of f and 33.", "a": "33" }, { "q": "Suppose 7*j + 13*j = 8*j + 588. Calculate the highest common divisor of j and 112.", "a": "7" }, { "q": "Let n be (-2 - (-3 - -4)) + 7. Let c = -24 + 48. Let m = c - n. What is the greatest common factor of 100 and m?", "a": "20" }, { "q": "Let s = -3350 + 5800. What is the highest common divisor of s and 50?", "a": "50" }, { "q": "Let b = -10 + 39. Let h = -54 - -65. Let s(z) = z**3 - 9*z**2 + 7*z. Let t be s(h). Calculate the highest common factor of b and t.", "a": "29" }, { "q": "Let s(h) = 4*h**2 - 3*h - 18. Let g be s(-3). What is the highest common factor of g and 4?", "a": "1" }, { "q": "Let d = 39 - 35. Suppose -4*b - d = 0, -2*h - 3*b + 5 = -22. Let i be (-20)/((-4)/2) - (18 - h). Calculate the highest common divisor of 21 and i.", "a": "7" }, { "q": "Suppose 2*k = -r + 406, -3*k - 2*k + r + 1008 = 0. Suppose q + k = 5*l, 8*l + 86 = 10*l - 3*q. What is the greatest common divisor of 8 and l?", "a": "8" }, { "q": "Let r = -55 - -57. Suppose -2*j + 4*j - 5*g - 254 = 0, 2*g + 242 = r*j. Calculate the greatest common factor of 9 and j.", "a": "9" }, { "q": "Suppose 31*c - 28*c - 105 = 0. Let b = c - -125. Calculate the greatest common divisor of 32 and b.", "a": "32" }, { "q": "Suppose -622 = -5*m - 4*n, 5*m - 440*n + 439*n - 632 = 0. Calculate the greatest common divisor of m and 441.", "a": "63" }, { "q": "Let m(f) = -2*f**2 - 4*f - 4. Let t be m(-5). Let j = -35 - t. Let u = j + 4. What is the highest common divisor of u and 12?", "a": "3" }, { "q": "Suppose -30*b + 16974 + 8558 + 928 = 0. What is the highest common divisor of 4 and b?", "a": "2" }, { "q": "Let d(b) = -b**3 - b - 6. Let i be d(-3). Suppose -9*x + 10*x - 2 = 0. Suppose 5*a + 4 = -21, 2*y + 2*a - x = 0. What is the highest common divisor of y and i?", "a": "6" }, { "q": "Suppose 2*n + 3*n = 2*w + 357, n + w - 70 = 0. Let o = 78 - n. What is the highest common factor of o and 77?", "a": "7" }, { "q": "Let c(t) = t**3 + 15*t**2 - 16*t + 30. Let q be c(-15). Let d = q + -180. What is the highest common factor of 54 and d?", "a": "18" }, { "q": "Let v(r) = 8*r + 180. Let a be v(-14). Calculate the greatest common divisor of 8 and a.", "a": "4" }, { "q": "Let z = -2 - -6. Suppose 5*m - z*m = 51. What is the highest common factor of 136 and m?", "a": "17" }, { "q": "Suppose -4*q + x + 202 = 0, 45 = -2*q - 2*x + 151. Suppose -12*t + 6*t + 408 = 0. Calculate the greatest common divisor of t and q.", "a": "17" }, { "q": "Let h(y) = -2*y**3 - 150*y**2 + 137*y - 246. Let n be h(-76). What is the greatest common divisor of n and 1043?", "a": "149" }, { "q": "Suppose z - 315 = -5*p, 3*z = 2*p + 6*z - 139. Calculate the greatest common factor of 713 and p.", "a": "31" }, { "q": "Let n be 6/8*(-80)/(-20) + -1. Suppose -5*d + 302 = -0*d - n*i, -3*i - 63 = -d. What is the highest common divisor of d and 24?", "a": "12" }, { "q": "Let a = -5291 + 5354. Let c(r) = 9*r. Let w be c(3). Calculate the greatest common divisor of w and a.", "a": "9" }, { "q": "Suppose 14*u = 13*u - 3*f + 102, 0 = u - 5*f - 94. What is the highest common divisor of u and 583?", "a": "11" }, { "q": "Let h = -3720 - -3796. Calculate the highest common divisor of 4826 and h.", "a": "38" }, { "q": "Let g(z) = 16 - 73*z + 73*z + z**3 - 2*z**2. Let w be g(0). Calculate the highest common factor of 128 and w.", "a": "16" }, { "q": "Let k be 9*(2 - 1)*1/3. Let v(j) = 12 + 10*j**2 + 3*j**3 + 13*j + 2*j**3 - j**k - 5*j**3. Let q be v(11). What is the greatest common factor of 136 and q?", "a": "34" }, { "q": "Let w be (-2)/(20/6) - 1246575/(-1375). Calculate the greatest common divisor of w and 24.", "a": "6" }, { "q": "Let s(x) = 355*x - 1986. Let w be s(6). Let k(q) = q**3 - 9*q**2 + 9. Let c be k(9). Calculate the greatest common factor of c and w.", "a": "9" }, { "q": "Let x be 3*-12*(-5)/15. Suppose -3*o = 2*a - x - 8, -4*o + 8 = 0. What is the greatest common factor of a and 56?", "a": "7" }, { "q": "Let k(r) = -3*r - 3. Let j be k(-6). Let d = 10 + -8. Suppose d*n + n - 4 = -5*c, 4*n = -3*c + 9. What is the highest common factor of n and j?", "a": "3" }, { "q": "Let s = 3683 - 3604. Calculate the greatest common factor of s and 2.", "a": "1" }, { "q": "Let g be 43088/18 + 15/(1215/18). Suppose -19*s = -s - g. Calculate the greatest common divisor of 7 and s.", "a": "7" }, { "q": "Let u = 4015 + 818. Calculate the highest common divisor of u and 27.", "a": "27" }, { "q": "Let k(q) = q**2 - 24*q + 75. Suppose -140 = -4*p - 40. Let c be k(p). What is the highest common factor of 250 and c?", "a": "50" }, { "q": "Let q = -2563 - -4829. What is the highest common factor of q and 103?", "a": "103" }, { "q": "Let s be (-3)/(-24) + (-220191)/(-456). What is the greatest common divisor of s and 207?", "a": "69" }, { "q": "Let l be (-480)/(-264) - 2/(-11). Suppose n + 5*k - l = 15, 116 = 4*n - 4*k. What is the highest common divisor of 15 and n?", "a": "3" }, { "q": "Let x(q) be the first derivative of 14*q**3/3 + 3*q**2 - 9*q + 56. Let u be x(3). Calculate the greatest common divisor of u and 60.", "a": "15" }, { "q": "Suppose -2*j - j - d + 19 = 0, 3*d = 5*j - 13. Suppose 0 = 4*w - 0*w. Suppose w = j*p + 12 - 67. Calculate the highest common factor of p and 11.", "a": "11" }, { "q": "Let h(y) = -18 + 24*y + 24*y - 12 - 44*y. Let b be h(10). Let t be (-2 - -4 - 1)/(1/b). Calculate the greatest common divisor of 2 and t.", "a": "2" }, { "q": "Suppose -107*x + 63*x + 700 + 752 = 0. What is the highest common divisor of x and 6?", "a": "3" }, { "q": "Let u(a) be the third derivative of -27*a**6/40 + a**5/60 - a**3/3 + 36*a**2. Let i be u(-1). Calculate the highest common divisor of i and 5.", "a": "5" }, { "q": "Suppose 99*m = 90*m + 22995. Calculate the highest common divisor of m and 35.", "a": "35" }, { "q": "Let a(j) = 113*j**2 - j. Let k be a(2). Let t = -6886 + 6936. Calculate the highest common divisor of t and k.", "a": "50" }, { "q": "Let f be (-24)/5*(0/(-9) - 10). Suppose -2*w + w = -4*k + 59, -k = -4*w + 4. What is the greatest common divisor of k and f?", "a": "16" }, { "q": "Let f(w) = w**2 + 7*w + 11. Let a be f(-6). Suppose 4*i + i = 3*c + 100, 0 = -a*i + c + 90. Let r = 51 + i. Calculate the highest common factor of 17 and r.", "a": "17" }, { "q": "Suppose 0 = -6*j - 17 - 115. Let f = -20 - j. Suppose 0 = u - 3*m + 2*m - 4, 7 = f*u - 3*m. Calculate the highest common divisor of 2 and u.", "a": "1" }, { "q": "Let p be ((-1976)/12 - -7)/((-8)/6 - -1). Calculate the highest common divisor of 11 and p.", "a": "11" }, { "q": "Suppose -2*x + 52 = -36. Let g(a) = a**3 - 9*a + 4. Suppose -i - 3 = 3*n, 34*i + 14 = 38*i - n. Let f be g(i). Calculate the highest common factor of x and f.", "a": "4" }, { "q": "Let a = -199 - -192. Let z(k) = -9*k + 67. Let y be z(a). What is the highest common divisor of 26 and y?", "a": "26" }, { "q": "Let j = -1288 - -1358. Calculate the greatest common divisor of 240 and j.", "a": "10" }, { "q": "Let k = -1 + 1. Suppose k = f + 2*p - 34, -5*f + p + 0*p + 181 = 0. Let x = -154708 + 154726. What is the highest common divisor of f and x?", "a": "18" }, { "q": "Suppose -85 = -10*v + 5. Let c(q) = 2*q**3 - 19*q**2 + 15*q - 31. Let o be c(v). Calculate the greatest common factor of o and 23.", "a": "23" }, { "q": "Suppose -60 = -2*d - 6. Let r be (4896/(-24))/(2/3). Let t = -9 - r. What is the greatest common divisor of d and t?", "a": "27" }, { "q": "Let g be 308/28*(-3)/(-33)*29. What is the greatest common divisor of 1073 and g?", "a": "29" }, { "q": "Let g(u) = 13*u**2 - 358*u - 78. Let z be g(28). What is the greatest common factor of z and 48?", "a": "6" }, { "q": "Suppose -22019 - 5309 = -380*u + 348*u. Calculate the greatest common divisor of u and 98.", "a": "14" }, { "q": "Let q(k) = 2*k**2 - 14*k + 410. Let g be q(0). Calculate the highest common factor of 1148 and g.", "a": "82" }, { "q": "Suppose 205 + 290 = 11*z. Let f be (-5*(-12)/z)/(4/54). What is the highest common factor of 153 and f?", "a": "9" }, { "q": "Suppose 132*o - 114*o = 972. What is the highest common factor of o and 1593?", "a": "27" }, { "q": "Let g be 16/6*(-18)/(-12). Let u = -192 - -201. Suppose 3*n - u = -g*m + 91, 2*m - 5*n - 24 = 0. Calculate the greatest common divisor of 110 and m.", "a": "22" }, { "q": "Suppose 0*j - 5*j + h + 35 = 0, 3*h - 28 = -4*j. Suppose -4*k = -9 - j. Let c be k + (-1)/(3/(-27)). What is the highest common factor of 52 and c?", "a": "13" }, { "q": "Let w(m) = -17*m + 73. Let j be w(1). What is the greatest common factor of j and 104?", "a": "8" }, { "q": "Let i(b) = b**3 - 4*b**2 + 11*b + 12. Let d be i(3). What is the highest common factor of 60 and d?", "a": "12" }, { "q": "Suppose -85 = 5*j - 130. Let o be (-8 + 75/j)*(0 - -12). Calculate the greatest common divisor of o and 12.", "a": "4" }, { "q": "Let p = 6 + 10. Suppose g - p = 16. Let t = 361 - 313. Calculate the greatest common divisor of t and g.", "a": "16" }, { "q": "Suppose 3*l + 6*l = 11*l. Let g(y) = y**3 - 2*y + 33. Let k be g(l). What is the highest common divisor of 264 and k?", "a": "33" }, { "q": "Let u be -2*3/(-6) + 44. Let q be 11/((-44)/(-8)) - -73. What is the greatest common factor of q and u?", "a": "15" }, { "q": "Suppose 10*s - 5*s + 11238 = 4*a, 3*s - 2818 = -a. Calculate the greatest common factor of a and 76.", "a": "76" }, { "q": "Suppose g + 3*p - 42 = 7*p, -5*g = -4*p - 130. Let a = 59 - -7. Suppose -2*y + y + a = 0. What is the greatest common factor of y and g?", "a": "22" }, { "q": "Let y be ((-150)/40)/(11/(-220)). Calculate the highest common factor of 4 and y.", "a": "1" }, { "q": "Let q(h) = -8*h + 6. Let p be q(-7). Let c(y) = 8*y**2 - 6*y + 11. Let a be c(-5). Let n = 396 - a. Calculate the highest common factor of n and p.", "a": "31" }, { "q": "Suppose 355 = 5*n - 6*x + 7*x, 3*x = -3*n + 225. Let b = n - 69. What is the highest common factor of 3 and b?", "a": "1" }, { "q": "Let c = -2719 - -3118. Calculate the greatest common factor of 114 and c.", "a": "57" }, { "q": "Suppose 0 = -6*h + 53 + 7. Let t be (-6)/h - 5072/(-20). What is the greatest common divisor of 23 and t?", "a": "23" }, { "q": "Suppose -3 = -r - 1, w = -3*r + 62. What is the greatest common factor of 16 and w?", "a": "8" }, { "q": "Let k = 38 + -16. Suppose 5*b + 2*f - 48 = -2*f, -4*b = -5*f - k. Let l be ((b/(-3))/4)/(4/(-6)). Calculate the highest common divisor of l and 5.", "a": "1" }, { "q": "Suppose -6 = 2*v, -v + 4*v + 66 = 3*k. Suppose 50 = -k*t + 17*t. Let l be ((-168)/15)/(10/t). Calculate the highest common factor of 308 and l.", "a": "28" }, { "q": "Suppose -65 = -6*u + 85. Let n = -22 + u. Calculate the greatest common divisor of n and 27.", "a": "3" }, { "q": "Let h = 1339 + -391. Calculate the highest common divisor of h and 395.", "a": "79" }, { "q": "Suppose -7*w = -9*w - 3*s - 21, 5*s = -15. Suppose -5*h - 3*x - 32 = -0*x, -2*x = -2*h. Let q be h/w*441/14. What is the greatest common factor of 21 and q?", "a": "21" }, { "q": "Let a = -184 + 69. Let r = a + 120. What is the highest common divisor of 7 and r?", "a": "1" }, { "q": "Let m(x) = -x**3 + 9*x**2 + x - 7. Let z be m(5). Let a be 172/6 - 56/84. Calculate the highest common divisor of a and z.", "a": "14" }, { "q": "Suppose -370 + 283 = 44*r - 2551. Calculate the highest common factor of r and 3416.", "a": "56" }, { "q": "Let p(d) = 7*d**2 - 539*d + 20. Let q be p(77). What is the highest common factor of 80 and q?", "a": "20" }, { "q": "Suppose -82*u + 189 = -631. Calculate the greatest common factor of u and 685.", "a": "5" }, { "q": "Let f(o) = -2*o**2 + 11*o + 2. Let r be f(6). Let m be r/34 + (-2)/(-17). Suppose m = 5*t - 8*t + 27. What is the greatest common factor of t and 99?", "a": "9" }, { "q": "Suppose -2*o - 118 = -2*p, 3*p = -0*o + 4*o + 182. Calculate the greatest common factor of 42 and p.", "a": "6" }, { "q": "Suppose 0 = u - 4*t + 656, u + 682 = -3*t + 33. Let m be (8/(-22))/(-2) + u/(-44). Let x = m + 5. Calculate the greatest common divisor of x and 20.", "a": "20" }, { "q": "Suppose -b + f + 33 = 6*f, -4*b + 5*f + 107 = 0. Calculate the highest common divisor of b and 119.", "a": "7" }, { "q": "Let i = -124 + 194. Suppose 0 = 178*y - 188*y + 420. What is the greatest common divisor of i and y?", "a": "14" }, { "q": "Let p(r) = 13*r**2 - 21*r - 34. Let t be p(-2). Let o(a) = 3*a**2 + a - 2. Let g be o(-6). What is the greatest common divisor of t and g?", "a": "20" }, { "q": "Let x = 46 + -91. Let f be x/(-6)*(-8)/(-3). Let s(h) = -2*h**2 + 126*h + 13684. Let i be s(120). Calculate the highest common factor of f and i.", "a": "4" }, { "q": "Let q = 262 - 230. Let m be (1/(-2))/(1/(-16)). Calculate the highest common divisor of m and q.", "a": "8" }, { "q": "Let p(o) = 3*o + 43. Let f be p(9). Suppose m + 4*h = 2 + 4, -5*m + 47 = 3*h. Calculate the highest common divisor of f and m.", "a": "10" }, { "q": "Let p(k) = -2*k**3 + 48*k**2 - 48*k + 63. Let r be p(23). Let b(h) = -h**3 - 5*h**2 + 15. Let q be b(-6). Calculate the highest common divisor of q and r.", "a": "17" }, { "q": "Let s(d) = d**2 + 6*d + 6. Let o be s(-4). Let w be o/(-5) + 69/15. Let b = -11964 + 11989. What is the highest common factor of b and w?", "a": "5" }, { "q": "Let c = 55 - 173. Let t be -1 - (-2)/(-6)*(c - 5). Calculate the greatest common divisor of t and 360.", "a": "40" }, { "q": "Let t(u) = -34*u - 765. Let h be t(-50). What is the highest common divisor of h and 680?", "a": "85" }, { "q": "Let x(k) = -159*k + k**2 + 172*k - 30 - 5. Let p be x(-16). Calculate the highest common divisor of 104 and p.", "a": "13" }, { "q": "Let d be (50 - -2)*5*1. Suppose 0 = -2*t - 0*i - 2*i + 20, -4*t + 5 = -3*i. Suppose t*a + 75 = d. What is the highest common divisor of 185 and a?", "a": "37" }, { "q": "Let t be ((-46)/(-207) - 40/18)/(-1). Suppose 2 = 2*g + t*u - 48, g = -5*u + 5. Calculate the highest common factor of 120 and g.", "a": "30" }, { "q": "Suppose p = 4*p - 9, 4*w - 2*p - 238 = 0. Suppose -17*l + h = -12*l - w, 5*h + 41 = 3*l. What is the highest common divisor of 20 and l?", "a": "4" }, { "q": "Let z = 8033 - 2525. What is the highest common factor of z and 51?", "a": "51" }, { "q": "Suppose 0 = 99*o - 85*o - 196. Let a(w) = w**3 + 3*w**2 - 3*w - 7. Let h be a(-3). Calculate the highest common factor of h and o.", "a": "2" }, { "q": "Suppose w = 5*t + 30, 2*w + 4*t - 52 = 8. Calculate the highest common divisor of w and 1140.", "a": "30" }, { "q": "Let s be ((-22)/(-6) + 0)*3. What is the greatest common divisor of s and 5995?", "a": "11" }, { "q": "Let p = 759 - 396. Suppose 3*t + a - 6 = 0, -2*t = -3*a + 62 - 77. Suppose d - t*d + p = -3*l, l = -1. What is the highest common divisor of d and 36?", "a": "36" }, { "q": "Let u = 18 - 13. Suppose o + u = 4*v, v - 4*o = 23 - 3. Suppose v*p - p - 198 = -5*c, -126 = -3*c - 3*p. Calculate the highest common divisor of 16 and c.", "a": "8" }, { "q": "Let s(f) = 16*f - 10. Let c be s(26). Let r = -286 + c. What is the greatest common divisor of r and 30?", "a": "30" }, { "q": "Suppose -5*q + 3*r + 1005 + 5662 = 0, 0 = 5*q - 2*r - 6668. Calculate the highest common divisor of 138 and q.", "a": "46" }, { "q": "Suppose 4*n = 5*x + 1200, 3*x = x. Let c(f) = -22*f**2 - 231*f + 10. Let p be c(-10). What is the highest common divisor of n and p?", "a": "60" }, { "q": "Let p(m) = m**3 - 8*m**2 + 6*m + 1. Suppose -22 = -4*q - 2. Let a be p(q). Let w = 94 + a. What is the greatest common factor of w and 20?", "a": "10" }, { "q": "Let i be 1*(-5)/(5/(-94)). Let p = -3029 - -3170. What is the greatest common divisor of i and p?", "a": "47" }, { "q": "Suppose -40*z + 89 = 24*z - 103. What is the highest common factor of 159 and z?", "a": "3" }, { "q": "Suppose 0 = 440*v - 469*v + 7109 + 12727. What is the greatest common divisor of 19 and v?", "a": "19" }, { "q": "Let i = 11281 + -6658. Calculate the highest common divisor of i and 67.", "a": "67" }, { "q": "Suppose -3*p + 8 = -7*p, -21 = -5*d - 2*p. Suppose d*h = h + 16. Suppose 0 = -2*g + 3*g - 32. What is the highest common divisor of h and g?", "a": "4" }, { "q": "Let d = 233 - 59. Suppose d = 7*y - 36. What is the greatest common factor of y and 80?", "a": "10" }, { "q": "Suppose 2*d = -3*f - 34, 13*f = -3*d + 9*f - 51. Let x = d + 272. Calculate the greatest common divisor of x and 15.", "a": "15" }, { "q": "Let k = 159 + -99. Let d be ((-14)/(-7))/(1/k*1). What is the greatest common factor of d and 30?", "a": "30" }, { "q": "Let m be (-2)/4*(-86 - -4). Let z = m + -9. What is the greatest common divisor of 8 and z?", "a": "8" }, { "q": "Let o(g) = 41*g**2 - 14*g + 7. Let q be o(1). Calculate the greatest common divisor of 1649 and q.", "a": "17" }, { "q": "Suppose -5*b - 435 = -3*j, 5*j - 744 = -36*b + 38*b. Calculate the highest common factor of j and 400.", "a": "50" }, { "q": "Let j(h) = 3*h**3 - h. Let o be (-4 + 3)/(3 - 2). Let s be j(o). Let v be s/7 - 200/(-14). Calculate the highest common factor of v and 14.", "a": "14" }, { "q": "Let l(x) = 6*x**2 - 7*x - 23. Let h be l(-2). Calculate the highest common factor of 15 and h.", "a": "15" }, { "q": "Suppose -33*m = -23*m - 1220. Suppose -3*y + 446 = m. What is the greatest common divisor of 144 and y?", "a": "36" }, { "q": "Suppose -5*w - 5*a + 25 = 0, 2*w = 8*a - 12*a + 6. Suppose -3*c + 36 = k, 4*k + 3*c - w - 137 = 0. What is the greatest common factor of 144 and k?", "a": "36" }, { "q": "Let y be (-3 - (-28)/6)/((-2)/(-24)). Let o be (-2 - (2 + -4))*-1. Suppose o = j - 6*j + 40. Calculate the greatest common divisor of y and j.", "a": "4" }, { "q": "Let t(o) = o**2 + 6*o - 11. Suppose 0 = 12*c + 156 + 48. Let r be t(c). Calculate the highest common factor of 22 and r.", "a": "22" }, { "q": "Let z be (-4)/(-10) + (-204)/(-15). Let s = 423 + -734. Let b = 332 + s. What is the greatest common factor of z and b?", "a": "7" }, { "q": "Let v(u) = -3*u**2 + 24*u - 8. Let l be v(7). Suppose -15*g + l*g + 52 = 0. Calculate the greatest common divisor of 26 and g.", "a": "26" }, { "q": "Let u be 32/176 + 159/33. Suppose u*n - 130 = -5*n. What is the highest common factor of n and 312?", "a": "13" }, { "q": "Suppose -2*x + 25 = -5*j, 1 = 5*j + 6. Let r be (x + -11)*(0 - 3). Suppose 0 = -3*i + 12, -o + 0*i + 84 = r*i. Calculate the highest common divisor of o and 24.", "a": "24" }, { "q": "Let s = 7 - 3. Let a(p) = -79*p - 15 + 2*p**2 + 150*p - 79*p + 5. Let u be a(-3). What is the greatest common factor of s and u?", "a": "4" }, { "q": "Suppose 6 = -2*c, y - 4*c + 664 = 4001. Calculate the greatest common factor of y and 35.", "a": "35" }, { "q": "Suppose 2*q - 11 + 3 = 0. Let r be (-67 + q)*(-5)/(60/8). What is the greatest common divisor of 336 and r?", "a": "42" }, { "q": "Suppose 3*i - 18*i = 2719 - 8959. Let z = 118 + -66. What is the highest common factor of z and i?", "a": "52" }, { "q": "Suppose -5*x = 39 - 14, -3*x - 23 = -4*a. Suppose -2*q = -8, -8 + 0 = a*l - 4*q. Suppose 0 = -l*k + 8*k - 228. What is the highest common divisor of 19 and k?", "a": "19" }, { "q": "Suppose -3*a - 4*s = 2*a - 155, 0 = -3*s. Suppose 2*q = 31 + a. Let b be ((-1)/4)/((-19)/2356). Calculate the highest common factor of b and q.", "a": "31" }, { "q": "Suppose -7*h + 639 = 3*h - 811. Calculate the highest common divisor of h and 10.", "a": "5" }, { "q": "Suppose 22 + 11 = s. Let q be (-9)/45 + (6126/15)/2. Let l = q - 193. What is the greatest common divisor of s and l?", "a": "11" }, { "q": "Let u = 189 + -113. Let p be (-29 + 10)*(-2)/4*2. Calculate the greatest common factor of u and p.", "a": "19" }, { "q": "Let x be (216/60)/((-6)/(-80)). Let g = 378 - 342. Calculate the highest common factor of g and x.", "a": "12" }, { "q": "Suppose 5*t - 13 = 57. Suppose 3*n - 126 = -u - u, 0 = 3*n - 2*u - 126. Calculate the highest common factor of t and n.", "a": "14" }, { "q": "Suppose -2*t + 2*a = -168 - 284, -4*t + 902 = -2*a. Calculate the greatest common factor of t and 18.", "a": "9" }, { "q": "Let k be (0 + 1)*(1 + 2). Suppose 0 = l - 2*h - 16, -k*l = -3*h + 2 - 56. Calculate the highest common factor of 220 and l.", "a": "20" }, { "q": "Suppose -5*g = 13*g + 12*g - 150. What is the greatest common factor of g and 745?", "a": "5" }, { "q": "Let u(q) = q**2 - q + 15. Let i be u(0). Suppose 6*f - i = f. Suppose 0 = 8*o + 169 - 289. Calculate the greatest common factor of o and f.", "a": "3" }, { "q": "Suppose -2826 - 2353 = -5*q + 2*u, 6 = -3*u. Calculate the greatest common divisor of q and 90.", "a": "45" }, { "q": "Suppose 23*m + 42*m = -54*m + 1785. Let o = -126 - -246. What is the highest common factor of o and m?", "a": "15" }, { "q": "Suppose 24*b - 234 - 198 = 0. Let k be (24 - -2) + b/(-3). Calculate the greatest common divisor of 20 and k.", "a": "20" }, { "q": "Let w(t) = -50*t - 2. Suppose -5*v + 4*a = -a, -4*a = -5*v - 1. Let b be w(v). What is the highest common divisor of 108 and b?", "a": "12" }, { "q": "Suppose 45*u - 44*u = 3*x - 189, -3 = -u. Calculate the highest common divisor of x and 96.", "a": "32" }, { "q": "Suppose 0 = -3*h - 12, 7*h + 275 = 5*m + 2*h. Let z = 41 + m. What is the greatest common factor of z and 23?", "a": "23" }, { "q": "Let j(k) = 336 + 2*k + 7*k - 2*k - 384. Let u be j(12). Calculate the highest common factor of 27 and u.", "a": "9" }, { "q": "Suppose -2*j = 3*x - 258, 0 = 128*j - 132*j + x + 516. What is the highest common divisor of 3999 and j?", "a": "129" }, { "q": "Let m(g) = -50*g - 238. Let b be m(-5). What is the highest common divisor of b and 1020?", "a": "12" }, { "q": "Let u(i) = -8*i + 66. Let a be u(6). Suppose 3*w = 3*b + a, 2*w - 1 = 3*b + 8. What is the highest common divisor of 18 and w?", "a": "9" }, { "q": "Let a(d) be the second derivative of d**5/20 - 3*d**4/2 + 17*d**3/6 + 14*d**2 - 6*d. Let l be a(17). What is the highest common factor of 182 and l?", "a": "14" }, { "q": "Suppose -307*g - 9792 = -371*g. Calculate the greatest common divisor of g and 441.", "a": "9" }, { "q": "Let w(i) = -i**2 - 17*i - 52. Let b be w(-11). Let k be (b - 24)/(-2*2/12). Calculate the greatest common divisor of 150 and k.", "a": "30" }, { "q": "Let f(q) = -q**3 + 11*q**2 + 6*q + 11. Let g be 3*5/(-15) + 3. Suppose -g*t + 15 + 5 = 0. Let r be f(t). Calculate the greatest common divisor of r and 19.", "a": "19" }, { "q": "Let x = 94 - 97. Let q(d) = d**2 + 2*d + 7. Let g be q(x). What is the highest common factor of g and 40?", "a": "10" }, { "q": "Suppose 4*p = -4*d + 8, 2*p = -d + 7 - 1. Let w be d/(-11) + 310/110. Suppose w*b - 10 = 5. What is the greatest common factor of b and 45?", "a": "5" }, { "q": "Suppose 0 = 2*q + 4*g - 34, -10*q + 4*g = -11*q + 13. Suppose 0 = -3*x + 3*y + 6, -2*x + q = 2*y + 5. What is the highest common divisor of x and 110?", "a": "5" }, { "q": "Let o = 2513 + -2477. Let p = 2 - -12. Let w = p - 10. Calculate the highest common factor of w and o.", "a": "4" }, { "q": "Let w be 129/172*(-17512)/(-6). Calculate the highest common factor of 22 and w.", "a": "11" }, { "q": "Suppose 5*f = 5*s - 55, -s - 3*f + 31 = -8*f. Let y(z) = -2*z**2 + s*z**2 + 3*z - 21 - 3*z**2. Let m be y(-7). What is the highest common divisor of 56 and m?", "a": "7" }, { "q": "Let v be 26*4/16 + ((-15)/(-3))/(-10). What is the highest common divisor of 237 and v?", "a": "3" }, { "q": "Let i(s) = s**2 + 4*s - 26. Let b be i(8). Calculate the greatest common factor of b and 896.", "a": "14" }, { "q": "Suppose -2*c = -2*b - 12, -17*b - 13 = 2*c - 14*b. Calculate the highest common factor of 607 and c.", "a": "1" }, { "q": "Suppose -13*k + 25 = -8*k. Suppose 3*m - 1844 = 5*x, -k*m + 2*x + 3*x = -3060. Suppose -6*r + m = 2*r. Calculate the greatest common divisor of r and 190.", "a": "38" }, { "q": "Let g = 4269 + -4204. Calculate the highest common divisor of g and 299.", "a": "13" }, { "q": "Let s(h) = -9*h**3 - 35*h**2 - h - 12. Let g be s(-4). Calculate the greatest common divisor of g and 10.", "a": "2" }, { "q": "Let x(u) be the first derivative of u**3/3 + 19*u**2/2 - 67*u - 73. Let r be x(-23). Calculate the greatest common factor of r and 200.", "a": "25" }, { "q": "Let u(y) = -y**3 - 6*y**2 + y + 18. Suppose 18*b + 120 = -2*b. Let c be u(b). What is the greatest common factor of c and 276?", "a": "12" }, { "q": "Let x(h) be the second derivative of -h**4/12 + h**3/3 + 17*h**2 - 2*h + 7. Let v be x(0). What is the greatest common factor of 34 and v?", "a": "34" }, { "q": "Let q(i) = -3*i + 25. Let o be q(7). Suppose z + 3 = o*z. What is the greatest common divisor of 2 and z?", "a": "1" }, { "q": "Let w(m) = -m**3 - 3*m**2 + 7*m - 6. Let r be w(-5). Let n be ((r/(-15))/((-7)/210))/1. What is the highest common divisor of 108 and n?", "a": "18" }, { "q": "Suppose 0 = 4*c + 16, -j + 33*c = 30*c - 912. Calculate the greatest common factor of 240 and j.", "a": "60" }, { "q": "Let t be ((-1)/(-3))/(21/441). Let y be t*7/(14/48). Calculate the highest common divisor of 112 and y.", "a": "56" }, { "q": "Suppose -54 = -5*s - 2*h - h, -3*s + 2*h + 21 = 0. Suppose -3*v + s = x - 30, x = 4*v + 46. What is the greatest common divisor of 18 and x?", "a": "6" }, { "q": "Let o be (-3)/(9/(-18)*(-21)/(-196)). Calculate the greatest common factor of 1316 and o.", "a": "28" }, { "q": "Suppose 2*g - 4*n = 30, 30 = 5*g - 0*n - n. Suppose 1676 = g*p + 2*d, 6 + 0 = -3*d. Calculate the greatest common divisor of p and 48.", "a": "48" }, { "q": "Let h = -70 - -2616. What is the highest common factor of 402 and h?", "a": "134" }, { "q": "Let o = 3984 + -3456. Calculate the highest common factor of o and 429.", "a": "33" }, { "q": "Let b be -14 - -9 - 3*(-25)/3. Let n = -339 + 499. Calculate the greatest common factor of b and n.", "a": "20" }, { "q": "Suppose 0 = -4*w + 39 - 31. Suppose 0 = w*z - 4 - 2. Suppose 2*j - 49 = 5*k, 0 = 3*k + z + 6. Calculate the greatest common divisor of 51 and j.", "a": "17" }, { "q": "Let l(t) = -t**2 + 16*t + 9. Let o = -66 + 81. Let w be l(o). Calculate the highest common divisor of w and 9.", "a": "3" }, { "q": "Suppose 180*o = 169*o + 75328. Calculate the greatest common factor of 107 and o.", "a": "107" }, { "q": "Let t(x) be the second derivative of 2*x**3/3 - 19*x**2/2 - 7*x. Let c be t(8). Suppose 0 = c*b - 8*b - 200. Calculate the greatest common factor of 10 and b.", "a": "10" }, { "q": "Suppose -89 = -4*r + 7. Suppose x = -5*y + 12, 0*x - 2*x + 72 = 2*y. What is the greatest common divisor of r and x?", "a": "6" }, { "q": "Let k = 17 - 9. Let a be 330/85 - k/(-68). Let c(s) = s**3 - 2*s**2 - 5*s + 9. Let n be c(a). What is the greatest common factor of 231 and n?", "a": "21" }, { "q": "Suppose -5*w + 95 = -3*x - 2*x, w - 4*x - 7 = 0. Let t = 41 - w. Let a = t - 6. Calculate the greatest common divisor of a and 60.", "a": "12" }, { "q": "Let l(r) = -10*r + 92. Suppose 29 = 5*f + 2*b, 3*b + 34 = 4*f + b. Let m be l(f). What is the highest common divisor of 286 and m?", "a": "22" }, { "q": "Let y = -3824 + 3829. Calculate the highest common divisor of y and 495.", "a": "5" }, { "q": "Let c = 4417 + -4349. Calculate the greatest common divisor of 1156 and c.", "a": "68" }, { "q": "Let c be (-6)/3*(-35)/7. Let i be 2/c*60/(-12). Let x be (2 + -3 - i) + 10. What is the highest common factor of 90 and x?", "a": "10" }, { "q": "Suppose 0 = c - 3*x - 638, 21*c + 4*x - 1296 = 19*c. What is the highest common divisor of 84 and c?", "a": "28" }, { "q": "Let t = -2548 - -2572. What is the greatest common factor of t and 328?", "a": "8" }, { "q": "Let j(g) = 15*g**2 + 6*g - 16. Let u(a) = 7*a**2 + 3*a - 8. Let o(k) = -6*j(k) + 13*u(k). Let d be o(-5). Calculate the highest common divisor of 7 and d.", "a": "1" }, { "q": "Let t(h) = 17*h**2 - 2*h. Let a be t(2). Let f = -2627 + 2675. Calculate the greatest common factor of f and a.", "a": "16" }, { "q": "Let i(s) = 2*s**3 + 14*s**2 + 3*s + 30. Let l be i(-7). What is the highest common factor of l and 168?", "a": "3" }, { "q": "Suppose -5*i = -10, -5*t - i - 2 = -14. Suppose -3*x = z + 2 + t, 0 = z - 5*x - 12. Suppose z*d + 19 = 51. Calculate the greatest common divisor of d and 144.", "a": "16" }, { "q": "Let z(q) = q**2 - 5*q - 146. Let u be z(-10). Suppose 2*k = -k. Let o = k - -1. What is the highest common divisor of u and o?", "a": "1" }, { "q": "Let u be 2/13 - 32/208. Suppose u*t - 2*t = -3*l + 165, 0 = -5*t. Calculate the highest common factor of l and 15.", "a": "5" }, { "q": "Let n(q) = 2*q + 120. Let z be n(-15). Suppose -5*g + g = -72. What is the greatest common factor of z and g?", "a": "18" }, { "q": "Suppose -90 = -5*f + 270. Let j(s) = -s**2 + 8*s - 6. Let k be j(6). Suppose 0 = n + d - k, 0 = -0*d - 5*d - 15. What is the highest common factor of n and f?", "a": "9" }, { "q": "Let w(o) = 4*o + 23. Let c be w(-5). Suppose -23*x = -c*x - 2400. What is the greatest common divisor of x and 30?", "a": "30" }, { "q": "Let x = 15 + -6. Let g = -8879 - -8942. Calculate the greatest common divisor of x and g.", "a": "9" }, { "q": "Let o(y) = 2*y**2 - 12*y - 282. Let v be o(-22). Calculate the greatest common divisor of 20 and v.", "a": "10" }, { "q": "Suppose -326 + 954 = 4*r. Suppose 5*n = 20, l + 2*l = 2*n + r. Suppose -h = -0*h + 5*x - l, 5*x - 85 = -2*h. Calculate the highest common divisor of 270 and h.", "a": "30" }, { "q": "Let f be (3/1)/((-2)/(420/(-9))). Suppose 73*a - f*a - 114 = 0. Calculate the greatest common divisor of a and 171.", "a": "19" }, { "q": "Let m(w) = -2*w**3 - 16*w**2 + 102*w - 33. Let p be m(-14). What is the highest common divisor of p and 33?", "a": "33" }, { "q": "Let j(z) = z**3 - 27*z**2 + 16*z + 272. Let r be j(26). What is the highest common divisor of 1782 and r?", "a": "6" }, { "q": "Suppose 18*u = 10*u + 24. Suppose -u*v + 24 + 16 = -4*h, -5*h = 3*v - 31. Calculate the greatest common factor of 228 and v.", "a": "12" }, { "q": "Let j = -4 - 2. Let d = 891 + -885. Let r be d/2 - 2/(j/39). What is the highest common divisor of r and 80?", "a": "16" }, { "q": "Let u be 14/28 - (-73)/2. Let o(m) = 5 - u*m + 20 - m**2 + 20*m. Let f be o(-18). What is the highest common factor of f and 7?", "a": "7" }, { "q": "Suppose 3*d + 64 - 121 = 0. Suppose 4*j - 2*i - 1206 = 0, 5*j - 3*i = 2001 - 496. What is the greatest common factor of j and d?", "a": "19" }, { "q": "Suppose 16*a = -31*a + 588 + 1010. What is the highest common factor of a and 68?", "a": "34" }, { "q": "Let s(y) = y**2 + 3*y + 3. Let x be s(-4). Let i = 7097 + -6922. What is the highest common divisor of x and i?", "a": "7" }, { "q": "Let h be 71 - 76 - (1 + -202). Suppose 208 = 4*n - 0*n + 3*j, 0 = -5*n - j + 249. What is the highest common divisor of h and n?", "a": "49" }, { "q": "Let m = -300 - -682. Let p = -252 + m. What is the highest common divisor of p and 10?", "a": "10" }, { "q": "Let w be (-4)/1 - 68/(-17). Suppose w*x - 4 = 3*x - 4*z, 1 = x + z. Suppose x = -h + 2, 3*y = -h + 46 + 28. What is the highest common factor of y and 8?", "a": "8" }, { "q": "Let p(g) = 33*g - 197. Let n be p(6). Calculate the highest common factor of n and 73.", "a": "1" }, { "q": "Suppose -4*c = 2*n - 14, -n + c + 5 = -14. Let y(a) = -33*a + 2. Let x be y(3). Let j = -37 - x. Calculate the highest common divisor of j and n.", "a": "15" }, { "q": "Let w be (8*(-3)/(-36))/((-2)/27). Let s be 76/6 + (-57)/w + -7. Let u = -24 + 36. Calculate the highest common factor of s and u.", "a": "12" }, { "q": "Let x be (742/(-318))/(1/(-513)). Calculate the highest common factor of 42 and x.", "a": "21" }, { "q": "Let z be 1/((-8)/((-7392)/(-3684)) - (0 + -4)). What is the greatest common factor of z and 14?", "a": "7" }, { "q": "Let a be (5 - (-2 + 6))/((-1)/(-2)). Let t(z) = z**3 + 4*z**2 - 7*z - 5. Suppose 0 = 3*k + 15. Let s be t(k). Calculate the highest common divisor of a and s.", "a": "1" }, { "q": "Suppose 0 = 30*l - 37*l + 8547. What is the highest common divisor of 111 and l?", "a": "111" }, { "q": "Let a be (-9)/(3*3/45). Let x = 49 + a. Suppose x*s - 10 = -s, 107 = 5*y + s. Calculate the highest common factor of 3 and y.", "a": "3" }, { "q": "Suppose -28*h = -19*h + 1368. Let k = h + 161. Suppose 0 = -w + 6*w - 135. Calculate the greatest common factor of k and w.", "a": "9" }, { "q": "Let f(w) = w**3 + 97*w**2 - 4*w - 331. Let r be f(-97). Calculate the highest common divisor of 703 and r.", "a": "19" }, { "q": "Let w(m) = 2*m**2 + m. Let d be w(0). Let r(j) = 5*j + 15. Let b be r(d). Let l be -1 - (3 - (80 + -1)). What is the greatest common factor of l and b?", "a": "15" }, { "q": "Let t = -7017 + 7161. Let n = 19 - -29. What is the greatest common divisor of t and n?", "a": "48" }, { "q": "Let g be 1*(-1 + -2)*1 + 58. Suppose 42*z - g = 41*z. What is the greatest common factor of 440 and z?", "a": "55" }, { "q": "Let g = 2523 + -2488. Calculate the highest common factor of 161 and g.", "a": "7" }, { "q": "Let k(i) = -7*i + 96. Suppose -5*s = 9*s - 168. Let x be k(s). Calculate the greatest common factor of x and 60.", "a": "12" }, { "q": "Suppose -18393 - 296 = -96*w + 1471. Calculate the greatest common divisor of w and 60.", "a": "30" }, { "q": "Let r be (-180)/(-405)*9/(-12)*-30. Suppose 0 = w - l - 0*l - 34, -2*w = 4*l - 44. What is the greatest common divisor of w and r?", "a": "10" }, { "q": "Let i(o) = 5*o - 49. Let u be i(-5). Let x be 1*u*9/(-18). Calculate the highest common factor of 259 and x.", "a": "37" }, { "q": "Let v(n) = -6*n + 24. Let r = 35 + -38. Let o = r - 13. Let s be v(o). Calculate the greatest common divisor of s and 15.", "a": "15" }, { "q": "Let w be (-30)/(6/54*30 - 4). Let h = 23 + 0. Let a = h + -14. Calculate the highest common factor of a and w.", "a": "9" }, { "q": "Suppose -32*m + 576 = -66*m + 42*m. Suppose -55 = 3*u - 379. Calculate the greatest common divisor of u and m.", "a": "36" }, { "q": "Suppose -78 - 60 = t + 5*a, 567 = -4*t - 5*a. Let s = 158 + t. What is the highest common divisor of s and 9?", "a": "3" }, { "q": "Let r(z) = -z**3 + 32*z**2 - 65*z + 155. Let m be r(30). Calculate the highest common divisor of 685 and m.", "a": "5" }, { "q": "Suppose 270 = 7*s + 2*s. Suppose 5*t - 50 = s. Let w be 3/(3/(-8))*-3. Calculate the highest common divisor of w and t.", "a": "8" }, { "q": "Suppose -2*k + 2*m = -26, 98*m = 3*k + 101*m - 69. Calculate the greatest common divisor of k and 1926.", "a": "18" }, { "q": "Let w(r) = 122*r - 1400. Let n be w(13). What is the greatest common factor of n and 48?", "a": "6" }, { "q": "Let l(j) = -j + 13. Let h be l(10). Suppose 15*t = 20*t + 2190. Let v be t/(-8) - h/(-12) - 3. What is the greatest common divisor of v and 26?", "a": "26" }, { "q": "Suppose -5*b - 3*l = 4, -5*b - 7*l = -3*l + 7. Let z(a) = a**3 + 3*a**2 - 3. Let f be z(2). Calculate the greatest common divisor of b and f.", "a": "1" }, { "q": "Let w be 8/28 + 300542/133. What is the highest common divisor of w and 60?", "a": "20" }, { "q": "Let k be ((-339)/452)/(3/(-64)). Calculate the greatest common factor of 5936 and k.", "a": "16" }, { "q": "Suppose 5*n - 5*h - 7 + 22 = 0, 2*n = -4*h + 24. Suppose -n*u + 7*u = 725. Suppose -11*a = -16*a + u. Calculate the highest common factor of a and 87.", "a": "29" }, { "q": "Suppose 0 = 9*f + f + 29*f - 2730. Calculate the highest common divisor of 112 and f.", "a": "14" }, { "q": "Suppose -14*h = -24*h + 2640. Let g(o) = 2 + 14*o + 0 + 0. Let b be g(3). Calculate the greatest common divisor of h and b.", "a": "44" }, { "q": "Suppose 3*t = -7 - 5. Let c = 6 + t. Suppose -5*m - 21*m + 1 = -25*m. What is the greatest common divisor of m and c?", "a": "1" }, { "q": "Suppose 7*o - 5*o = -3*b + 12224, 3*b + 4*o - 12226 = 0. What is the highest common factor of b and 14?", "a": "14" }, { "q": "Let h = 1501 - 1426. What is the highest common divisor of 725 and h?", "a": "25" }, { "q": "Let y(o) = -2*o + 16. Let v be y(-10). Let d be (v/(-21))/((-2)/21). Let z be d/(-2 - 1)*-16. Calculate the highest common factor of z and 12.", "a": "12" }, { "q": "Let j = 55 + -43. Let n(c) = 2*c**2 - 3*c + 1. Let g be n(j). What is the highest common divisor of 11 and g?", "a": "11" }, { "q": "Suppose 3*f = -f + 6160. Suppose -3*h = 2*h - f. Suppose -28*v + 84 = -61*v + 36*v. Calculate the highest common factor of h and v.", "a": "28" }, { "q": "Let v(n) = n**2 + n - 17. Let q(u) = -u**3 - 2*u**2 + 2*u + 1. Let d be q(-3). Let x be v(d). Calculate the greatest common factor of 123 and x.", "a": "3" }, { "q": "Let d(k) be the first derivative of k**4/4 - 2*k**3/3 - 3*k**2/2 + 5*k + 3. Let g be d(0). What is the greatest common factor of g and 60?", "a": "5" }, { "q": "Let a be (0 + 49)/(-7)*(-504 + (2 - 2)). Calculate the highest common factor of a and 12.", "a": "12" }, { "q": "Let o be (2240/(-168))/(3/((-18)/4)). What is the greatest common divisor of 340 and o?", "a": "20" }, { "q": "Suppose 0 = -4*h - 3*j + 2639, 0 = -4*h + 3*h - j + 659. What is the highest common divisor of 2 and h?", "a": "2" }, { "q": "Let r(t) = 12*t**2 + 752*t - 8. Let a be r(-63). Calculate the highest common divisor of a and 12.", "a": "4" }, { "q": "Suppose 2*p - 3*p = -8. Suppose -7*v + 11*v - 16 = 0. Suppose -v*s = -6*s + 144. What is the greatest common divisor of s and p?", "a": "8" }, { "q": "Let q be 1*(4/(-12))/((-2)/6). Let j(x) = 19*x**2 - 5*x + 6. Let k be j(q). Let n = -80 + 120. What is the highest common divisor of n and k?", "a": "20" }, { "q": "Let z be -3 - -6*6/9. Let t be z*8*(-18)/(-9). Let d(b) = -b**2 - 6*b + 44. Let g be d(-10). What is the greatest common divisor of g and t?", "a": "4" }, { "q": "Let a = -5 + 21. Suppose 0 = -2*b + 5*g + 513, 10 = -4*g + 6*g. Suppose b*j - 128 = 265*j. What is the greatest common divisor of a and j?", "a": "16" }, { "q": "Let o(r) = -r + 5. Let l be o(3). Let z be (-398)/(-10) - 4 - 4/5. Suppose 30 + 40 = z*c. Calculate the highest common divisor of l and c.", "a": "2" }, { "q": "Let x(l) = -l**3 - 12*l**2 + 19*l + 96. Let s be x(-13). What is the greatest common divisor of 1017 and s?", "a": "9" }, { "q": "Suppose -26*k - 284 - 286 = -41*k. Calculate the greatest common factor of k and 60.", "a": "2" }, { "q": "Suppose 4*g + 327 = 807. Suppose 0 = 34*o - 30*o - g. Calculate the highest common divisor of o and 12.", "a": "6" }, { "q": "Suppose -2*u = -3*k - 5*u - 21, 2*k - 2 = 2*u. Let g be ((-5)/k)/((19/(-6))/(-19)). Calculate the highest common factor of g and 10.", "a": "10" }, { "q": "Let g(f) = 19*f**2 - 4*f + 2. Let c be g(2). Let s be 616/6 - (-4277)/1833. What is the highest common factor of s and c?", "a": "35" }, { "q": "Let a(b) = -13*b - 41. Let j be a(-8). Let s be (-2)/(-9)*(-567)/(-9). Calculate the highest common factor of j and s.", "a": "7" }, { "q": "Suppose 2*j - l - 117 = 0, -5*l + 255 = 3*j + 2*j. Calculate the highest common divisor of j and 3276.", "a": "28" }, { "q": "Suppose -27*j = -12*j - 8760. What is the highest common divisor of j and 146?", "a": "146" }, { "q": "Let c be (0/2)/(1 - (-15)/(-3)). Suppose 17*q - 13*q - 336 = c. What is the highest common divisor of q and 140?", "a": "28" }, { "q": "Let y(h) = -9*h + 97. Let x be y(-10). Suppose 4*v = f - 71, -3*f = -0*v + v - x. What is the greatest common divisor of f and 35?", "a": "7" }, { "q": "Let x = 204 + -212. Let k be (-4 - 0)*(3 + 28/x). What is the highest common divisor of k and 54?", "a": "2" }, { "q": "Let t(q) = -q**2 - 47*q - 77. Suppose 0 = 6*g + 2*g + 264. Let z be t(g). Calculate the highest common divisor of z and 55.", "a": "55" }, { "q": "Let b = 1813 - -358. Calculate the greatest common divisor of b and 13.", "a": "13" }, { "q": "Let w = -70 - -167. Let o = 132 - w. Suppose 6*i - 70 = i. What is the greatest common divisor of i and o?", "a": "7" }, { "q": "Suppose -3*u + 7*u - 207 = -3*q, 3*u - 4*q = 174. Suppose 26 = z + 5*m, 3*z - m = -4*m + u. Calculate the greatest common divisor of 64 and z.", "a": "16" }, { "q": "Suppose -75*h + 27000 = -174150. Calculate the greatest common divisor of 9 and h.", "a": "9" }, { "q": "Suppose 3*l - 116 = -5. Suppose 36*g = l*g - 13. Suppose -a = -2*a + g. Calculate the greatest common divisor of a and 39.", "a": "13" }, { "q": "Let o(z) = z**2 - 2*z - 12. Let l be o(9). Let b(i) = -20*i + 915. Let c be b(33). What is the highest common factor of c and l?", "a": "51" }, { "q": "Let l be (22/4 - 4)/(3/148). Let c = 496 - 274. What is the greatest common divisor of l and c?", "a": "74" }, { "q": "Let x(g) = -g**2 - 10*g + 27. Let f be x(-12). Suppose -3*t + 1083 = -f*j + 57, -3*t + 1024 = -2*j. Calculate the greatest common divisor of t and 136.", "a": "68" }, { "q": "Suppose a - 255 = o, 6*a - 3*a - 770 = -2*o. Calculate the highest common divisor of a and 40.", "a": "8" }, { "q": "Let n(p) = -2*p**3 - 11*p**2 - 9*p - 55. Let b be n(-6). What is the highest common divisor of b and 1505?", "a": "35" }, { "q": "Let p(s) = 2 - 40*s - 5*s**2 - 42*s + 0*s. Let l be p(-16). Let i be 5*(243/5 - 1). What is the greatest common divisor of i and l?", "a": "34" }, { "q": "Let s(l) = 6*l**2 - 319*l - 319. Let r be s(-1). Suppose -3*b = 3*u - 87, 4*u + u - 3*b = 177. Calculate the highest common factor of r and u.", "a": "3" }, { "q": "Let p be 1291560/1603 - 2/(-7). Calculate the highest common factor of 248 and p.", "a": "62" }, { "q": "Suppose 4*u - 148 = 329*m - 325*m, 5*u + 3*m = 225. What is the highest common factor of u and 147?", "a": "21" }, { "q": "Let y = 100 + -94. Suppose y*o - 238 = 650. Let u = -16 + 53. Calculate the highest common factor of o and u.", "a": "37" }, { "q": "Suppose -5*q - h + 28 = 0, 3*h - 24 = -5*q + 2*q. Suppose q*s = -3*d + 139, 0 = 4*s - 3*s - 3*d - 35. What is the highest common divisor of 1 and s?", "a": "1" }, { "q": "Let c(v) = 3*v**2 + 6*v + 15. Suppose -3*z - 11*z = 140. Let i be c(z). What is the highest common divisor of i and 51?", "a": "51" }, { "q": "Let s = 0 - -23. Let j = s + 22. Suppose -13*m = -8*m - j. Calculate the highest common factor of 18 and m.", "a": "9" }, { "q": "Let b = -541 - -542. What is the highest common divisor of b and 194?", "a": "1" }, { "q": "Let t(x) = x**2 - 9*x + 2. Let a be t(9). Let j be (-99)/(-27)*6*3 - a. Let s = 3 + 5. What is the greatest common divisor of j and s?", "a": "8" }, { "q": "Let u(r) = -2*r + 1. Let j be u(-5). Suppose 168 = -17*f + 19*f + x, 4*f + 3*x - 328 = 0. What is the greatest common factor of j and f?", "a": "11" }, { "q": "Let v(w) = 99*w + 1112. Let c be v(-9). What is the greatest common divisor of 65 and c?", "a": "13" }, { "q": "Suppose -9*u + 10*u = -5*s - 673, -4*u - 12 = 0. Let x = -71 - s. Calculate the greatest common divisor of x and 42.", "a": "21" }, { "q": "Let g = -11 + 14. Suppose -4*m + 2*y + 36 = 14, -g*m - 2*y = 1. Suppose -m*n + 17 = 11. Calculate the highest common divisor of 4 and n.", "a": "2" }, { "q": "Let h = -35 + 16. Let x = 3 + h. Let n be (x/4 - -5)/((-2)/(-10)). What is the highest common divisor of n and 5?", "a": "5" }, { "q": "Suppose m + 5*i - 31 = 3*i, 2*m + 3*i - 62 = 0. Suppose m*t - 27*t - 168 = 0. Calculate the greatest common factor of 182 and t.", "a": "14" }, { "q": "Let x = 235 - 157. Let i be x/6 + (-1 - 1). Suppose 4*m - 23 = -i. Calculate the highest common divisor of m and 1.", "a": "1" }, { "q": "Suppose -14*k = 8*k - 110. Let m be 9/(-6) - 1/(-2). Let x be (14/4 + m)*130/k. What is the greatest common factor of x and 13?", "a": "13" }, { "q": "Let a(q) = 49*q**2 - 22*q + 112. Let x be a(8). Calculate the highest common divisor of x and 12.", "a": "12" }, { "q": "Suppose -4*x + 536 = -5*l + 20, -2*l = 2*x - 258. Calculate the greatest common factor of x and 8127.", "a": "129" }, { "q": "Let t(r) = r**2 + 5*r - 52. Let q be t(-12). Let a be 49/4 + 5/(-20). What is the greatest common factor of q and a?", "a": "4" }, { "q": "Let g(d) = -80*d - 153. Let z be g(-2). What is the highest common factor of 3899 and z?", "a": "7" }, { "q": "Let m(d) = -2*d - 2. Let q be m(-9). Suppose 84 + q = 5*n. Calculate the greatest common factor of 180 and n.", "a": "20" }, { "q": "Let x = 232 - 287. Let i = x + 76. Let w(k) = -k**3 - 3*k**2 + 4*k. Let h be w(-6). Calculate the greatest common divisor of i and h.", "a": "21" }, { "q": "Let h = 39 - 59. Let l(r) = r**3 + 20*r**2 - 6*r - 60. Let d be l(h). Calculate the highest common divisor of d and 24.", "a": "12" }, { "q": "Suppose 21*u - 18*u - 4*v - 37 = 0, 0 = 3*u - 2*v - 35. What is the highest common factor of 1221 and u?", "a": "11" }, { "q": "Suppose -6*i + 558 = 1440. Let z be 7/(i/342)*(-5 - 2). Let s = 34 + 4. What is the highest common factor of z and s?", "a": "38" }, { "q": "Let d(k) = -213*k - 1192. Let p be d(-12). Calculate the greatest common factor of 176 and p.", "a": "44" }, { "q": "Suppose -65*w + 126 = -63*w. Let r = -46 + w. What is the greatest common divisor of 51 and r?", "a": "17" }, { "q": "Let k(o) be the first derivative of 4*o**2 + o - 1. Let l(g) = -g**2 + 2*g + 5. Let w be l(0). Let d be k(w). What is the greatest common divisor of d and 123?", "a": "41" }, { "q": "Let y(w) = -w**3 - w**2 - 10*w + 14. Let o be y(0). What is the highest common factor of o and 7882?", "a": "14" }, { "q": "Let p(i) = i + 19. Let o be p(11). Let a be (10/(-3))/(6/90). Let k = a - -125. What is the greatest common factor of k and o?", "a": "15" }, { "q": "Let c be 2*3*(-12)/(-9). Suppose 0*l = 5*x - 2*l - 12, 2*x + c = 4*l. Let w = 5860 + -5852. Calculate the highest common divisor of w and x.", "a": "4" }, { "q": "Suppose -32*y + 9165 - 2093 = 0. Calculate the greatest common factor of y and 39.", "a": "13" }, { "q": "Let s = 87 - 163. Let b(c) = -180*c**3 - 2*c - 2. Let m be b(-1). Let f = m + s. What is the greatest common factor of 26 and f?", "a": "26" }, { "q": "Let p = -2709 + 2786. Calculate the greatest common factor of p and 231.", "a": "77" }, { "q": "Suppose 3 = -68*k + 67*k, -3191 = -5*r - 3*k. What is the greatest common factor of 56 and r?", "a": "8" }, { "q": "Suppose 31*w - 3531 + 254 = -487. Calculate the greatest common divisor of 774 and w.", "a": "18" }, { "q": "Let n = -24 + 35. Let b be (-2 - 4)*-1 - 1. Suppose 0 = 2*q - 3*p - 11, b*q + 0*q - n = 2*p. Calculate the greatest common divisor of q and 5.", "a": "1" }, { "q": "Let r(m) = 65*m + 717. Let c be r(-11). What is the greatest common factor of c and 178?", "a": "2" }, { "q": "Suppose 147 - 15 = 6*v. Suppose 24*f - v*f = 48. Calculate the greatest common factor of f and 30.", "a": "6" }, { "q": "Let p be 793/(-7) + 12/126*3. Let t = p - -156. Calculate the greatest common divisor of 86 and t.", "a": "43" }, { "q": "Let u = 45 + -54. Let f be 2 - (-20)/u - (-598)/18. Calculate the greatest common factor of f and 77.", "a": "11" }, { "q": "Suppose -3*z - 16 = -5*z. Let b = -41625 - -41633. Calculate the highest common factor of b and z.", "a": "8" }, { "q": "Let w(h) be the first derivative of h**4/4 + 5*h**3/3 + h**2 - h + 74. Let s be 7/35 - 12/10. Let i be w(s). What is the greatest common divisor of i and 9?", "a": "1" }, { "q": "Let g be (-61)/(-671) + -2*5014/(-44). What is the highest common factor of g and 741?", "a": "57" }, { "q": "Let o be (((-2)/(-2))/(-1))/((-21)/2415). Let u be 545/30 - (o/(-30) - -4). What is the highest common factor of u and 63?", "a": "9" }, { "q": "Let f(p) = 12*p + 22. Let j be f(0). What is the highest common factor of j and 3377?", "a": "11" }, { "q": "Let z = 2927 + -2857. What is the highest common factor of z and 190?", "a": "10" }, { "q": "Suppose 444 = 3*m - 591. Let j = 4476 + -4461. What is the greatest common factor of m and j?", "a": "15" }, { "q": "Suppose -8*v + 3495 + 7305 = 0. What is the highest common factor of 108 and v?", "a": "54" }, { "q": "Suppose -3*j + 3*u = 2*u - 28, -3*j + 8 = 4*u. Calculate the highest common factor of 116 and j.", "a": "4" }, { "q": "Let m = 3428 + -3260. What is the highest common factor of m and 1400?", "a": "56" }, { "q": "Let v(k) = -k**3 - 2*k**2 - 625*k - 3860. Let x be v(-6). Suppose -3*n - 124 = -i, i + 4*n + 13 = 165. What is the highest common divisor of i and x?", "a": "34" }, { "q": "Let n be 5/(12 - -3) + 240/18*2. Let f = 14 + -11. Calculate the greatest common factor of f and n.", "a": "3" }, { "q": "Let w(c) = -c**3 + 12*c**2 - 37*c + 30. Let t be w(5). What is the highest common divisor of t and 1580?", "a": "20" }, { "q": "Suppose -3*m - 65*t + 359 = -64*t, 0 = 3*m + 2*t - 355. What is the greatest common divisor of m and 1?", "a": "1" }, { "q": "Suppose 0 = -3*t - p + 64, 2*t + 5*p - 3*p - 44 = 0. Let r = -129 - -173. Let x be 251/4 + 11/r. What is the greatest common divisor of x and t?", "a": "21" }, { "q": "Suppose 516 = i + 4*i - 3*l, 0 = 3*i + 5*l - 296. Let q(c) = 27*c**2 - 3*c + 3. Let j be q(-3). What is the greatest common factor of i and j?", "a": "51" }, { "q": "Let u be -2 - (2 + -4727) - (3 - -1). Let p be (u/(-286))/(((-3)/(-2))/(-3)). Let y = 10 - -1. Calculate the highest common factor of p and y.", "a": "11" }, { "q": "Suppose -2*j = 2*l + 690, 4*j + j = 4*l - 1680. Let k = j + 341. Let w = 0 - -3. Calculate the greatest common factor of k and w.", "a": "1" }, { "q": "Let f be ((-3)/(-4))/(7*5/12600). Let y = 196 + -186. What is the greatest common divisor of f and y?", "a": "10" }, { "q": "Suppose 5 = p + 9, -4893 = -5*f - 3*p. Calculate the highest common divisor of f and 218.", "a": "109" }, { "q": "Let n be 85*6*3/45. Let u = 23 + -21. Let m be (2 - (u - 4)) + 30. What is the greatest common divisor of n and m?", "a": "34" }, { "q": "Let j(g) = -g**2 + 14*g - 16. Let i be j(9). Let m = 21 - i. Let v = 7 - m. What is the greatest common factor of 30 and v?", "a": "15" }, { "q": "Let x be ((-7)/14)/(9/18) + 59*2. What is the greatest common factor of 4563 and x?", "a": "117" }, { "q": "Let k(o) = 4*o**2 + 7*o + 24. Let r be k(-4). What is the greatest common factor of 96 and r?", "a": "12" }, { "q": "Let t(n) = 3*n**3 - 5*n**2 + 2*n + 14. Suppose 5*p = p - y + 17, -5*y = -3*p - 16. Let o be t(p). What is the greatest common divisor of 35 and o?", "a": "7" }, { "q": "Let w = -61 - -73. Suppose 5*i + 1190 = w*i. What is the highest common divisor of i and 34?", "a": "34" }, { "q": "Let n be -7*6/(-42) - 10*-16. Calculate the greatest common divisor of n and 391.", "a": "23" }, { "q": "Let i be (62/(-5))/(142/(-3905)). What is the highest common divisor of 496 and i?", "a": "31" }, { "q": "Let v = -28 + 33. Suppose t - v*k - 29 = 0, 124 - 313 = -5*t + 3*k. Let s = 43 - t. Calculate the greatest common factor of 16 and s.", "a": "4" }, { "q": "Let d be 21/(-63)*-12 - (2 - (-274)/(-2)). Calculate the greatest common divisor of 1 and d.", "a": "1" }, { "q": "Suppose 5*j - 13 = -f, -2*j = -3*f - 0*j + 5. Suppose 4*l + 2 - 26 = f*i, -2*i - 28 = -4*l. Calculate the greatest common divisor of l and 6.", "a": "3" }, { "q": "Suppose 2*v - 192 = 60. Suppose -11*d - 146 = -14*d - p, -3*p = -3*d + v. What is the highest common divisor of d and 376?", "a": "47" }, { "q": "Suppose 8*l + 19 - 91 = 0. Suppose -170 = l*z - 998. What is the highest common divisor of 23 and z?", "a": "23" }, { "q": "Let b = -2610 - -3726. Suppose -5*u = -4*h + 1717 + b, -u + 2139 = 3*h. Suppose 280 = 8*j - h. What is the greatest common factor of 31 and j?", "a": "31" }, { "q": "Let d(v) = 74*v**2 - 21*v + 23. Let y be d(1). What is the highest common factor of 247 and y?", "a": "19" }, { "q": "Let c(j) = -197*j + 21689. Let d be c(110). Let r = -28 - -47. Calculate the greatest common divisor of r and d.", "a": "19" }, { "q": "Let s(b) = 8*b - 50. Let d be s(8). Let x be (-4)/(-3) - (-6)/9. Let c be ((-21)/d)/(x/(-96)). Calculate the greatest common divisor of c and 9.", "a": "9" }, { "q": "Suppose -15*o + 22 = 202. Let l be (-200)/o + 3/9. What is the greatest common divisor of 187 and l?", "a": "17" }, { "q": "Let l(f) = 37*f - 1269. Let t be l(35). Let c = 2 - -128. What is the highest common factor of t and c?", "a": "26" }, { "q": "Let t = -13 + 33. Suppose -6*f - 55*f - 432 + 1408 = 0. What is the highest common divisor of t and f?", "a": "4" }, { "q": "Let f(z) be the third derivative of 3*z**5/20 - z**4/24 + 41*z**2. Let n be f(2). What is the highest common divisor of n and 51?", "a": "17" }, { "q": "Let w(a) be the first derivative of -3*a + 14 - 3/2*a**2 + 1/3*a**3. Let o be w(-2). What is the highest common factor of 7 and o?", "a": "7" }, { "q": "Let s(p) = 6*p + 28. Let l(o) = -o. Let x(u) = 8*l(u) + s(u). Let z be x(-2). Calculate the greatest common divisor of 112 and z.", "a": "16" }, { "q": "Let y(z) = 5*z - 5. Let u be (-48)/(-264) + 414/22. Let i = u + -15. Let r be y(i). Calculate the highest common factor of 105 and r.", "a": "15" }, { "q": "Let t = -1704 - -1767. What is the greatest common divisor of 3276 and t?", "a": "63" }, { "q": "Suppose 0*c - c + 931 = 18*c. What is the highest common divisor of c and 287?", "a": "7" }, { "q": "Let t = -9 + 225. Suppose -4*q - o + 579 = 183, 0 = 2*q - 4*o - t. Suppose 0*k + q = 4*k. Calculate the greatest common factor of k and 10.", "a": "5" }, { "q": "Let t be (360/(-9))/(-8) + (17 - -2). What is the highest common factor of 750 and t?", "a": "6" }, { "q": "Let v be 17/85*1088*(-1 - -1 - -5). Calculate the greatest common divisor of v and 128.", "a": "64" }, { "q": "Let d = -37 - -44. Suppose -u + d*u - 72 = 0. Let p(y) = 51*y - 3. Let h be p(1). What is the greatest common factor of u and h?", "a": "12" }, { "q": "Suppose -2*l - a + 202 = 0, -5*a = l - 2*l + 101. Suppose -103*i = -l*i - 646. What is the greatest common divisor of 19 and i?", "a": "19" }, { "q": "Suppose 27 = 2*g + q, q - 1 = -0*q. Let z be (-506 - -504) + 1*6/(-9)*-6. What is the highest common factor of g and z?", "a": "1" }, { "q": "Let f(l) = 5*l + 31. Let v be f(-15). Let z = 53 + v. Calculate the greatest common factor of z and 1.", "a": "1" }, { "q": "Let m = 2420 + -2418. Suppose -4*s + 5*d = 2 - 38, -4*s + 3*d = -44. What is the highest common divisor of m and s?", "a": "2" }, { "q": "Suppose 0 = 2*j - 124 + 118. Suppose j*o + 858 = 9*o. What is the greatest common divisor of 26 and o?", "a": "13" }, { "q": "Let y(f) = 46*f - 40. Let v be y(1). What is the greatest common divisor of 381 and v?", "a": "3" }, { "q": "Let h(a) be the third derivative of a**6/120 + a**4/8 + 7*a**3/6 + 23*a**2. Let u be h(0). Let t = 7 - 6. What is the highest common divisor of u and t?", "a": "1" }, { "q": "Suppose -6*s = -3*s - 9. Suppose 3*r - 225 = -2*u, -2*r = -0*u + s*u - 150. Let c be ((-5)/15)/((-3)/(-9))*-30. Calculate the highest common divisor of c and r.", "a": "15" }, { "q": "Let s be 3*(-1 + -2)*-1. Let o be ((-6)/5)/((-12)/40). Suppose o*c - 5 = 3*i - 7, 3*i - 38 = -5*c. What is the highest common factor of s and i?", "a": "3" }, { "q": "Let v = -3 - 5. Let i(z) = -z + 11. Let h be i(v). Suppose -24*b = -19*b - 380. Calculate the greatest common factor of b and h.", "a": "19" }, { "q": "Let k(y) = 71 - y**3 - 17*y + 58 + 59 - 162 + 18*y**2. Let n be k(16). What is the highest common factor of 38 and n?", "a": "38" }, { "q": "Suppose 103 = -2*f + 6*f + n, 5*n + 60 = 3*f. Let p(k) = 5*k**2 - 2*k + 4. Let w be p(2). What is the highest common divisor of f and w?", "a": "5" }, { "q": "Suppose -11*n + 32326 = -9144. Calculate the greatest common divisor of 130 and n.", "a": "130" }, { "q": "Suppose s - 3*m - 1291 - 1348 = 0, 0 = 3*s + m - 7877. Calculate the greatest common factor of s and 213.", "a": "71" }, { "q": "Let j(n) = n**2 + n - 12. Let r = 8 - 12. Let t be ((-10)/4)/((-2)/r). Let a be j(t). What is the greatest common divisor of a and 8?", "a": "8" }, { "q": "Let s be (1 - (-3)/2)/((-125)/(-1300)). What is the highest common factor of 650 and s?", "a": "26" }, { "q": "Let y be ((-4)/3)/(26/2106)*(-34)/102. Suppose 2*g + 167 - 563 = 0. Calculate the greatest common factor of y and g.", "a": "18" }, { "q": "Let z(u) = 3*u**2 - 73*u + 16. Let a be z(25). Suppose -a*q + 12 = -63*q. What is the highest common divisor of q and 32?", "a": "4" }, { "q": "Let b be (12 - 1) + -1 + 0. Let c = 9776 - 9506. Calculate the greatest common divisor of c and b.", "a": "10" }, { "q": "Let h(o) = -o - 7. Let q be h(-5). Let l be (-2)/q + (19 - -8). Suppose 18*f = -a + 15*f + 28, -84 = -3*a + f. What is the greatest common divisor of l and a?", "a": "28" }, { "q": "Suppose 4*h = -4*i + 56, -90 = -3*h - 2*i + 7*i. Suppose 45 = r - 0*r. Calculate the greatest common factor of h and r.", "a": "5" }, { "q": "Let h be (-3 + 4)/(1/33). Suppose -3*o = 2*c - 123, 5*o - 3*c = -0*c + 224. Let b = o - h. What is the highest common divisor of b and 10?", "a": "10" }, { "q": "Let v = -506 + 1736. What is the greatest common factor of v and 120?", "a": "30" }, { "q": "Let h(l) = l**3 + 6*l**2 - 5*l + 16. Let w be h(-7). Let b = -4 + 5. Let x be w*(b + (-11)/(-2)). What is the highest common factor of x and 52?", "a": "13" }, { "q": "Suppose 16*n - 4033 = 15*n - 2*f, 5*f = -25. What is the highest common divisor of n and 26?", "a": "13" }, { "q": "Let i = -2469 + 3399. What is the greatest common divisor of i and 210?", "a": "30" }, { "q": "Suppose -3*z = -2*y - 46, -5*z + 80 + 2 = 2*y. Suppose 3*w + 7 = z. Suppose 5*h + w = 8. Calculate the greatest common factor of 3 and h.", "a": "1" }, { "q": "Let o be (-60)/(-2)*(-6)/(-5). Let n = -8 + o. Calculate the highest common divisor of n and 12.", "a": "4" }, { "q": "Suppose -47 = -2*o - 5. Let d = 203 - o. Calculate the greatest common divisor of 26 and d.", "a": "26" }, { "q": "Let c(x) = -10*x**2 + 206*x - 42. Let u be c(20). What is the greatest common factor of u and 150?", "a": "6" }, { "q": "Let d = -1808 + 1853. Calculate the greatest common divisor of 160 and d.", "a": "5" }, { "q": "Let y(u) = -24*u + 49*u + 78 - 21*u. Let d be y(-12). Calculate the highest common factor of 6 and d.", "a": "6" }, { "q": "Let l(s) = 139*s**2 + 10*s + 73. Let k be l(-4). Calculate the highest common factor of 148 and k.", "a": "37" }, { "q": "Suppose 1680 = -8*m + 3840. What is the greatest common divisor of m and 60?", "a": "30" }, { "q": "Suppose 179 - 42 = 5*s - 3*x, -133 = -5*s + 2*x. Calculate the highest common factor of s and 1475.", "a": "25" }, { "q": "Suppose -48*z + 80823 + 68622 = 41829. Calculate the greatest common divisor of z and 38.", "a": "38" }, { "q": "Let l = 1625 - 554. What is the highest common factor of l and 459?", "a": "153" }, { "q": "Suppose 29*y - 220 = 615 + 180. What is the highest common divisor of y and 91?", "a": "7" }, { "q": "Let b = 259 + 16. Let v = -100 + b. What is the highest common factor of 7 and v?", "a": "7" }, { "q": "Let h = -2206 - -2741. Calculate the greatest common factor of 1177 and h.", "a": "107" }, { "q": "Let v = 138 + -45. Suppose 74 = -4*c + d - v, c = 2*d - 33. Let j = 2 - c. What is the highest common factor of j and 15?", "a": "15" }, { "q": "Let j(c) = -c**2 - 40*c - 20 + 161*c - 42*c - 32*c. Let t be j(14). Calculate the highest common factor of 17 and t.", "a": "17" }, { "q": "Let q(c) = 220*c - 1782. Let p be q(12). What is the greatest common divisor of p and 702?", "a": "78" }, { "q": "Let s(l) = -10*l - 8. Let k be s(-1). Suppose 2*i - 7*i + 360 = 3*c, -k*c + 10 = 0. What is the highest common factor of 23 and i?", "a": "23" }, { "q": "Let q(v) = 8*v**2 - 67*v + 486. Let j be q(10). Calculate the greatest common divisor of 21 and j.", "a": "7" }, { "q": "Suppose -4*n + 3*n = 4*p - 2, -5*n + 2*p = -98. Let g = -15 - n. Let x be (-984)/g + 4/22. What is the greatest common divisor of 120 and x?", "a": "30" }, { "q": "Let x(z) = 9*z + 5. Let s be x(7). Suppose 7*a = -0*a + 756. Suppose 4*n = a - 40. Calculate the highest common divisor of s and n.", "a": "17" }, { "q": "Suppose 0*q - 4*q = 3*i, -11 = i + 5*q. Let t = 232 - 228. What is the greatest common factor of i and t?", "a": "4" }, { "q": "Suppose -5*w + 4 - 4 = 0. Suppose 4*n + 5*r + 56 - 8 = w, -n + r = 3. Let f = 29 - n. Calculate the greatest common factor of f and 18.", "a": "18" }, { "q": "Let f(b) = b**3 - 12*b**2 - 6*b + 49. Let d = -290 + 303. Let k be f(d). Suppose o - 69 - 37 = -3*r, 0 = -3*o + 3. What is the highest common factor of r and k?", "a": "35" }, { "q": "Suppose 0 = -2*i - 6 + 48. Let z(p) = -p**3 + 20*p**2 + 20*p + 89. Let w be z(i). What is the greatest common factor of w and 4?", "a": "4" }, { "q": "Suppose -6 - 32 = -5*f + 4*p, 0 = 2*f - 4*p - 8. Let o(a) = 7*a - 5. Let d be o(5). What is the greatest common factor of f and d?", "a": "10" }, { "q": "Let o be (4 - (-102)/(-24))*0. Let f(j) = -j + 17. Let a be f(o). What is the greatest common factor of 289 and a?", "a": "17" }, { "q": "Let d(j) = 21*j - 873. Let p be d(44). Calculate the greatest common divisor of 2 and p.", "a": "1" }, { "q": "Let i be 109275/1081 - 8/92. Calculate the highest common divisor of i and 4747.", "a": "101" }, { "q": "Let a be 1*(3 + 0/1). Suppose 47 = a*x + 8. Let l(o) = o**2 - 4*o + 21. Let k be l(5). Calculate the highest common divisor of x and k.", "a": "13" }, { "q": "Suppose s - 5*s + 112 = 0. Let g be 1 - -1 - (12 - 13). Suppose g*y - 384 = 36. Calculate the highest common divisor of s and y.", "a": "28" }, { "q": "Let k = -68 - -71. Suppose -g + k*d - 7 = 8*d, 0 = -3*g - d + 35. Calculate the greatest common factor of g and 351.", "a": "13" }, { "q": "Let l be (49 + -50)*(-104 - -1). What is the greatest common divisor of 206 and l?", "a": "103" }, { "q": "Let x(w) = 7*w**2 + w + 5. Let c be x(2). Calculate the greatest common divisor of 140 and c.", "a": "35" }, { "q": "Let q(j) = j**2 - 12*j - 560. Let d be q(-20). Calculate the greatest common factor of 1720 and d.", "a": "40" }, { "q": "Let a(v) = 7*v**2 - 16*v - 21*v**2 + 58 + 3*v**2 + 10*v**2. Let r be a(-18). What is the highest common divisor of 22 and r?", "a": "22" }, { "q": "Let w be ((-28)/35)/((-2)/20). Let m be w/((-40)/3) - (-263)/5. Calculate the highest common divisor of m and 260.", "a": "52" }, { "q": "Let f(a) = -2*a - 25. Let j be f(-14). Suppose p + 4*r = 73, -r = -j*p + 2*r + 234. What is the greatest common factor of p and 22?", "a": "11" }, { "q": "Let y = 54 - -16. Let o(z) = -4*z + 2. Let r = 16 + -18. Let a be o(r). What is the greatest common divisor of a and y?", "a": "10" }, { "q": "Suppose 6 = 52*s - 51*s. Suppose -s*q + 538 = 52. Let c = 19 - 10. Calculate the greatest common divisor of q and c.", "a": "9" }, { "q": "Let n(h) = -h**2 + 6*h + 18. Let j be n(8). Let i(o) = -7 - 4 + 18*o - o**j - 2. Let k be i(9). What is the greatest common divisor of k and 34?", "a": "34" }, { "q": "Let j = -4246 + 4926. Calculate the highest common factor of 935 and j.", "a": "85" }, { "q": "Let d = 48 - 28. Let s be 12/21 + 8426/77. Let o be ((72/d)/3)/(3/s). What is the highest common divisor of 308 and o?", "a": "44" }, { "q": "Suppose 1041*p = 1034*p + 147. What is the highest common divisor of p and 336?", "a": "21" }, { "q": "Let v be -5 + (352 - 6) + 6. Suppose 2*l - u = 289, -4*l + 228 + v = u. Calculate the greatest common factor of 16 and l.", "a": "16" }, { "q": "Let i(c) = -c**2 - 11*c + 4. Let a be i(-11). Suppose -2*t = -a*t + 270. Let y = 4056 - 4029. Calculate the highest common factor of y and t.", "a": "27" }, { "q": "Let k(l) = l**3 + 2*l**2 - 4*l. Let f be k(0). Let s be (-370 + f)*1*(4 + -5). What is the greatest common factor of s and 10?", "a": "10" }, { "q": "Let b = -6096 + 6102. Let q = -18 + 30. Calculate the greatest common factor of b and q.", "a": "6" }, { "q": "Suppose 8*k = -5*h + 9*k + 241, 0 = 2*k + 2. Calculate the highest common divisor of h and 612.", "a": "12" }, { "q": "Let o(v) = v**3 - 2*v**2 - 85*v - 49. Let f be o(-7). Calculate the highest common divisor of f and 405.", "a": "15" }, { "q": "Let b(q) = 33*q + 1476. Let a be b(-43). Calculate the highest common factor of a and 75.", "a": "3" }, { "q": "Suppose -2*o = -6*o - 480. Let i = 208 + o. Suppose 2*m = 5*p - 47, 3*p - m = 4*m + 13. What is the greatest common divisor of i and p?", "a": "11" }, { "q": "Suppose 0 = 2*t - t - 6. Suppose -10*z + 7*z = 2*p - 21, 0 = -5*p + z + 44. Calculate the highest common factor of p and t.", "a": "3" }, { "q": "Let j(n) = 114*n + 777. Let y be j(-5). Calculate the highest common divisor of 6 and y.", "a": "3" }, { "q": "Let x = -6309 - -6552. Suppose 0 = 3*m + 5*o - 119, m = -4*m + 3*o + 153. Let u = 60 - m. What is the highest common divisor of u and x?", "a": "27" }, { "q": "Suppose -3*p = -4*y + 88, 5*y + 3*p - 110 = 5*p. Let z = -62 + 172. What is the greatest common factor of z and y?", "a": "22" }, { "q": "Suppose 2*y = 6*y - 216. Let a(j) = j**3 + 19*j**2 - 5*j + 6. Let w be a(0). Calculate the greatest common divisor of w and y.", "a": "6" }, { "q": "Suppose 2*d - j - 123 = 0, 4*d - 384 = -3*j - 113. What is the greatest common factor of 136 and d?", "a": "8" }, { "q": "Let i = 65 - 62. Let d be i/(-3)*7*(-108)/21. Calculate the greatest common divisor of d and 252.", "a": "36" }, { "q": "Suppose 0 = -461*d + 471*d - 10. Let p(c) = 3 + c**2 - 3*c + 0 + 0*c. Let y be p(d). What is the highest common factor of y and 2?", "a": "1" }, { "q": "Let p = 34 - 25. Suppose 2*s = -a + 7 - 5, -2*a - 10 = -3*s. Calculate the highest common divisor of p and s.", "a": "1" }, { "q": "Let q(g) be the second derivative of -g**4/4 - 25*g**3/6 - g**2/2 + 2*g + 6. Let r be q(-8). What is the highest common divisor of r and 203?", "a": "7" }, { "q": "Let u(d) = 162*d**2 - 13*d - 12. Let p be u(-1). Calculate the highest common divisor of 2771 and p.", "a": "163" }, { "q": "Suppose 3*r + 4*j = -187, -3*j = -6*j - 12. Let l = r - -67. Let u(d) = -7*d + 4. Let z be u(-3). Calculate the greatest common divisor of z and l.", "a": "5" }, { "q": "Suppose -4*l + 5*r + 119 = 62, -5*l + 35 = r. Calculate the greatest common divisor of l and 268.", "a": "4" }, { "q": "Let f be 0*(-6)/(-42) + -9 - -450. Calculate the greatest common factor of 315 and f.", "a": "63" }, { "q": "Let g = 2430 + -1792. What is the greatest common divisor of 58 and g?", "a": "58" }, { "q": "Let l = -2047 + 2107. Suppose 0 = -2*k - 3*k + 75. What is the highest common factor of k and l?", "a": "15" }, { "q": "Let i be (20 - 27)*(50/(-14) - -1). Calculate the greatest common divisor of 9162 and i.", "a": "18" }, { "q": "Let w(o) = -26*o + 4. Let t be w(-3). Let g be (-3)/(((-111)/74)/(410/4)). What is the highest common divisor of g and t?", "a": "41" }, { "q": "Let v be (-1 + -20 - 2) + 9 + -7. Let f be 1/(-3) + (-175)/v. Calculate the highest common factor of f and 24.", "a": "8" }, { "q": "Let o be 1323 - (-1)/2*10. Calculate the highest common factor of 112 and o.", "a": "16" }, { "q": "Suppose 33 = z + 28*o - 24*o, 2*z - 79 = 5*o. Let l(f) = 14*f**3 - f**2 + f - 2. Let x be l(3). What is the greatest common divisor of x and z?", "a": "37" }, { "q": "Let w be -1 - -3 - (-2 - 45). Suppose 5*p + 4*r - 60 = 0, 2*p - 24 = -0*r + r. Suppose 0 = -p*m - 29 + 113. What is the greatest common factor of w and m?", "a": "7" }, { "q": "Suppose -s - 1253 = -2*q, 8*s = 5*s - 15. What is the greatest common divisor of q and 72?", "a": "24" }, { "q": "Let m(g) = -g - 12. Let l(k) = 1. Let w(h) = 5*l(h) - m(h). Let y be w(13). Let r = y + -12. Calculate the highest common divisor of 144 and r.", "a": "18" }, { "q": "Let c = -138 + 153. Let f be 60*(-2 + 42/c). What is the greatest common divisor of f and 336?", "a": "48" }, { "q": "Let c be (-122)/(-18) - (72/(-81))/4. What is the greatest common factor of c and 427?", "a": "7" }, { "q": "Let c be 8/(-3)*(-3)/2. Suppose -4*d + 255 + 506 = -5*y, 563 = 3*d + c*y. Suppose 34*q = 31*q + d. Calculate the greatest common factor of 9 and q.", "a": "9" }, { "q": "Let d be 397 + 2 + (12 - 15). Calculate the greatest common factor of d and 176.", "a": "44" }, { "q": "Suppose 0 = n + 2*n - 756. Suppose -5*q - 2*g = -191 - 23, 0 = -4*q - 2*g + 172. Calculate the highest common factor of q and n.", "a": "42" }, { "q": "Let g be (-2 - 2)*3*(-3)/36. Let o = 4 + 2. Let j = o - 2. Calculate the highest common factor of j and g.", "a": "1" }, { "q": "Let f(z) = z + 7. Let s be f(-2). Let y(g) = -2*g + 4. Let x be y(s). Let n be ((-4)/(-5))/(x/(-15)). Calculate the highest common divisor of n and 6.", "a": "2" }, { "q": "Let g = 674 - 390. Let f be (-4)/(-32)*g*2. What is the highest common divisor of 568 and f?", "a": "71" }, { "q": "Suppose -36*z + 20*z + 1104 = 0. Calculate the greatest common factor of 18 and z.", "a": "3" }, { "q": "Suppose -67*i = -251*i + 36800. Calculate the greatest common factor of i and 575.", "a": "25" }, { "q": "Suppose -3*x = -2*o + 11 - 10, 14 = 3*o - 2*x. Calculate the highest common factor of o and 1072.", "a": "8" }, { "q": "Let a = 7551 + 93. Suppose 9*k - a = 132. Suppose -1080 = 2*t - 7*t - 5*s, 4*t + 2*s - k = 0. Calculate the greatest common divisor of t and 24.", "a": "24" }, { "q": "Let q be (0 + 6)/3 - (-4 + -41). Suppose 2*n - q = 21. Calculate the highest common divisor of 34 and n.", "a": "34" }, { "q": "Let t(z) = 28 + 9*z**2 - 19*z**2 + 59*z - 15*z**2 + z**3 - 114*z. Let o be t(27). What is the greatest common factor of o and 4?", "a": "1" }, { "q": "Let n = 1276 + -763. Suppose 4*s + 2*s - 342 = 0. What is the highest common divisor of s and n?", "a": "57" }, { "q": "Let r = 52 - 7. Suppose 2*b = 4*b - 3*f - 35, -3*b + 3*f = -r. Let o(n) = n**2 + 43*n - 520. Let p be o(10). What is the highest common divisor of p and b?", "a": "10" }, { "q": "Let t(w) = w. Let c(m) = -2*m**2 - 27*m + 6. Let i(d) = -c(d) + t(d). Let u be i(-13). Let s = u - -90. Calculate the greatest common divisor of s and 145.", "a": "29" }, { "q": "Let s be (-184)/(-598)*(-13)/(-2). Suppose 4*p - 130 = -4*l + 2*p, -l + 40 = -s*p. What is the highest common divisor of l and 306?", "a": "34" }, { "q": "Suppose -6*d + 23*d = 0. Suppose -18*l - 6*l + 408 = d. Calculate the greatest common divisor of l and 170.", "a": "17" }, { "q": "Let x be (480/(-5))/(-6) - (2 - -2). Suppose 0 = x*z - 0*z - 2688. Calculate the greatest common factor of 14 and z.", "a": "14" }, { "q": "Let f = 99 - 90. Calculate the greatest common factor of f and 37.", "a": "1" }, { "q": "Let t = -181 + 185. Suppose -2*x + 4*g + t = 0, -5*x + 9 = -g - 1. What is the greatest common divisor of x and 15?", "a": "1" }, { "q": "Let o = -220412 + 220488. Let n = -12 + 67. Let v = n - 36. What is the highest common factor of o and v?", "a": "19" }, { "q": "Suppose 7*z - 778 = -3*z - 458. What is the highest common divisor of 752 and z?", "a": "16" }, { "q": "Let f(i) = -51 + 4*i + 6*i + 1. Let x be f(8). Calculate the greatest common factor of x and 240.", "a": "30" }, { "q": "Let r = -2708 - -2715. Let t be 26/3 + (-2)/(-6). Let g = r + t. What is the greatest common divisor of g and 24?", "a": "8" }, { "q": "Let c(z) = -3 + 7 + 3*z**2 - 9*z**2. Let n be c(-2). Let i = n - -60. What is the greatest common divisor of i and 8?", "a": "8" }, { "q": "Suppose 56*c - 23616 = 18189 + 19179. What is the highest common factor of 27 and c?", "a": "9" }, { "q": "Suppose -y + 0*y = -7. Let r = 627 + -592. Calculate the highest common factor of r and y.", "a": "7" }, { "q": "Let h = -3236 + 3824. Calculate the greatest common factor of h and 490.", "a": "98" }, { "q": "Let r be 2/(-5) + (-13)/5. Let a be (-9)/r - -1 - -152. Suppose 4*z = -0*z + a. What is the highest common factor of 26 and z?", "a": "13" }, { "q": "Let y(h) = -2*h**2 + 22*h - 34. Let o be y(9). Suppose o*i = -2*c + 96, 0*c + 228 = 4*c - 5*i. Calculate the highest common divisor of c and 468.", "a": "52" }, { "q": "Let l(d) = 4*d - 77. Let t(p) = -p + 25. Let z(f) = 4*l(f) + 11*t(f). Let x be z(11). Calculate the highest common divisor of 22 and x.", "a": "22" }, { "q": "Let v(n) = -n**3 + 47*n**2 + 55*n - 144. Let r be v(48). What is the highest common divisor of 21 and r?", "a": "3" }, { "q": "Let v(i) = -2*i**2 - 47*i + 23. Let j be v(-21). What is the highest common divisor of j and 40?", "a": "8" }, { "q": "Let d(g) = 16*g - 6. Let t be (-4)/(-36) + (-32)/(-36). Let i be 1/(((-1)/(-6))/t). Let h be d(i). Calculate the greatest common factor of 30 and h.", "a": "30" }, { "q": "Suppose 91*t - 94*t = -120. Let f = 74 - t. Calculate the highest common divisor of f and 2.", "a": "2" }, { "q": "Suppose -38*a = -42*a + 3*u + 21, -4*a + 23 = -u. Calculate the greatest common factor of a and 1116.", "a": "6" }, { "q": "Let y(j) = 31*j + 2315. Let n be y(-73). What is the highest common factor of 128 and n?", "a": "4" }, { "q": "Let k = -135 + 219. Suppose -38*g - k = -45*g. What is the highest common factor of g and 42?", "a": "6" }, { "q": "Let n be (1 - (-10)/5)*292/6. Let w = n + -143. Calculate the greatest common factor of 1 and w.", "a": "1" }, { "q": "Suppose 2*o = 4*z - 248, -18*z + 30*z = 3*o + 750. Calculate the highest common divisor of z and 3.", "a": "3" }, { "q": "Let l be 348/27 - 9/(-81). Suppose -4*y - 4*m - 12 = -0*y, 4*y = m + l. What is the highest common divisor of 5 and y?", "a": "1" }, { "q": "Suppose -j - 12 + 9 = 0, -2*s + 5*j = -151. Calculate the highest common divisor of 51 and s.", "a": "17" }, { "q": "Let x be 130732/232 - (-2)/4. Calculate the highest common divisor of 235 and x.", "a": "47" }, { "q": "Let p = 2612 - 2602. Calculate the highest common divisor of 295 and p.", "a": "5" }, { "q": "Suppose 0 = -4*h - 4*k + 860, -21*k - 25 = -16*k. Calculate the greatest common divisor of 242 and h.", "a": "22" }, { "q": "Let r(p) = 3*p**2 - 8*p + 0*p - 9*p + 19*p. Let s be r(-1). Let a be (-182)/(-12) - ((-2)/(-12))/s. What is the highest common factor of a and 105?", "a": "15" }, { "q": "Let o = 4511 + -4392. Calculate the greatest common factor of 102 and o.", "a": "17" }, { "q": "Let w be 1/1 - (2 + -69). Let d = -3075 + 3080. Let f be 3 - d*(1 + w/(-20)). What is the greatest common divisor of f and 15?", "a": "15" }, { "q": "Let n be ((-90)/8 - -1)/(2/(-8)). Let h be (-13)/((-13)/(-36)) + -3. Let p = n + h. What is the greatest common divisor of 12 and p?", "a": "2" }, { "q": "Let i = 4415 + -4273. Calculate the highest common divisor of i and 781.", "a": "71" }, { "q": "Let t(r) = 7*r**2 - 4*r - 3. Let l be t(-2). Let s = -25 + l. Let g(m) = 2*m + 12. Let b be g(-5). Calculate the greatest common factor of b and s.", "a": "2" }, { "q": "Suppose 4*m = -2*q + 3*m + 2, 2*m + 4 = 0. Let r be (12 + -4)/(q/4). Suppose 9*x - 72 = 6*x. What is the greatest common divisor of r and x?", "a": "8" }, { "q": "Suppose -5116 - 238 = -5*b + g, 3*g + 12 = 0. Calculate the greatest common divisor of b and 20.", "a": "10" }, { "q": "Let o be (-1)/(-1) + 25 - (13 - 8). Let v(a) = 2*a - 20. Let w be v(10). Suppose -3*r + 24 - 3 = w. What is the greatest common factor of o and r?", "a": "7" }, { "q": "Let c be -2 + -2*(-10 - -1). Suppose c*i = 12*i + 200. Suppose -6*m + 16*m - i = 0. What is the greatest common divisor of m and 5?", "a": "5" }, { "q": "Let v(t) = -31*t + 5. Let x be v(3). Let j = x + 92. Let d = -2 + 12. Calculate the highest common divisor of d and j.", "a": "2" }, { "q": "Suppose 18*y = 20*y - 6. Suppose 2*n = -3*n + 35. Suppose y*h + 320 = n*h. What is the greatest common factor of h and 10?", "a": "10" }, { "q": "Let k(b) = 7*b + 2. Suppose 0*d = 5*d - 45. Suppose -2*p = -2*v - p + 7, -v = 2*p + d. Let o be k(v). Calculate the greatest common factor of 3 and o.", "a": "3" }, { "q": "Suppose 4*u + 0*u = 420. Suppose 116*x + 1230 = 157*x. What is the highest common divisor of x and u?", "a": "15" }, { "q": "Suppose 4*o - 2 = b + 5, 2*o = 2*b + 2. Let x be 7*o*15/2. Suppose 4*s + 3*s = x. Calculate the greatest common divisor of 10 and s.", "a": "5" }, { "q": "Let x(u) = 3*u**3 - u**2 - 5*u + 8. Let f be x(2). Let y(a) = a**2 - 6*a + 17. Let k be y(7). What is the greatest common divisor of k and f?", "a": "6" }, { "q": "Let y(b) = -b**3 + 10*b**2 + 27*b - 169. Let s be y(11). Calculate the greatest common factor of s and 910.", "a": "7" }, { "q": "Suppose 806*u - 289 = 789*u. What is the greatest common divisor of u and 833?", "a": "17" }, { "q": "Suppose -22*s + 24*s = 2176. Suppose -9*m = -13*m + s. Calculate the greatest common divisor of m and 17.", "a": "17" }, { "q": "Let r(o) = -o**3 + 5*o**2 + 4. Let d be r(5). Suppose 8*i + 468 = -28. Let n = i - -63. Calculate the highest common factor of n and d.", "a": "1" }, { "q": "Suppose -3*b - 1947 = -y, 0 = -155*b + 160*b. What is the greatest common divisor of 177 and y?", "a": "177" }, { "q": "Let t = -219 + 228. Suppose -t*i + 4*i = -110. Calculate the greatest common factor of i and 22.", "a": "22" }, { "q": "Suppose -945 = -23*d - 9*d + 2191. What is the greatest common divisor of d and 574?", "a": "14" }, { "q": "Let y = 3887 - 3781. What is the greatest common factor of y and 9116?", "a": "106" }, { "q": "Let x be (40 - -1) + (-50 - -54). Let v be (4 - (-64)/36) + 10/x. What is the highest common divisor of 8 and v?", "a": "2" }, { "q": "Let p be (-2)/((-18)/6001) - (-174)/783. What is the highest common factor of p and 232?", "a": "29" }, { "q": "Let a be (-31 - -32) + -1 + 9. What is the greatest common divisor of a and 369?", "a": "9" }, { "q": "Let g(t) = -10*t + 78. Let k(b) = -1. Let h(i) = g(i) + 6*k(i). Let z be h(7). Calculate the highest common divisor of 8 and z.", "a": "2" }, { "q": "Suppose -6 = -2*s + 3*w, -5*s + 15 = 5*w - 4*w. Suppose -116 = -2*o - s*g - 2*g, 2*o - 116 = -2*g. What is the highest common factor of o and 145?", "a": "29" }, { "q": "Let p(a) = -13*a**2 - 118*a - 6. Let t be p(-5). Calculate the highest common factor of 1 and t.", "a": "1" }, { "q": "Let x be (-164043)/(-135) - 12/90. Calculate the highest common factor of 5 and x.", "a": "5" }, { "q": "Let m be 2/13 + 16344/234. Let j(g) = g**2 - 6*g - 63. Let a be j(-7). Calculate the greatest common divisor of m and a.", "a": "14" }, { "q": "Let w(f) = -f**3 + 11*f - 2. Let z be w(3). Let v = -15 - -15. Let a be (v - -2) + z/1. What is the highest common divisor of 42 and a?", "a": "6" }, { "q": "Let k = -339 - -342. Suppose r + 4 = 2*x, 0*r - 4*x = -k*r - 6. Let n be (-44)/(-2)*(-1 - -2). What is the highest common factor of r and n?", "a": "2" }, { "q": "Suppose 0*m + 5*w = 4*m - 675, w = 5. Suppose 2*r = 3*r - m. Let f = -91890 + 91925. Calculate the greatest common divisor of r and f.", "a": "35" }, { "q": "Suppose 2*u + p = -4, 3*u - p = 4*p + 20. Let t(c) = c**2 + 20 - 11*c + 11*c. Let h be t(u). What is the highest common divisor of h and 50?", "a": "10" }, { "q": "Let i = -1009 - -1067. What is the highest common factor of i and 3886?", "a": "58" }, { "q": "Let n = 109 + -65. Suppose 0 = -h - 4*l + 75, l - 80 = -h - 4*l. Calculate the greatest common factor of h and n.", "a": "11" }, { "q": "Suppose -50*f + 52*f = u + 42, 3*u = 12. Calculate the greatest common divisor of f and 5106.", "a": "23" }, { "q": "Suppose 0 = -5*d - 4*s + 80 + 108, -3*s + 114 = 3*d. Suppose -r - 7 = -0*r + 4*w, 0 = -2*r + 4*w + 34. What is the highest common divisor of d and r?", "a": "9" }, { "q": "Suppose 126 = 2*m + y, 292 = 3*y + 280. What is the greatest common divisor of 5795 and m?", "a": "61" }, { "q": "Let p(o) = 2*o**2 - 2*o - 3. Let h = 210 + -211. Let f be p(h). What is the greatest common divisor of 9 and f?", "a": "1" }, { "q": "Let o(k) = -260*k + 400. Let a be o(-2). What is the greatest common divisor of a and 100?", "a": "20" }, { "q": "Suppose 0 = 20*y + 355 - 21592 - 13103. What is the greatest common factor of 17 and y?", "a": "17" }, { "q": "Let v = -979 - -1067. Calculate the greatest common factor of 517 and v.", "a": "11" }, { "q": "Let o be ((-1643)/(-265))/((-4)/(-20)). Suppose -3*y - 2*y + 155 = 0. What is the highest common divisor of y and o?", "a": "31" }, { "q": "Suppose 3*d = d. Let z be ((0 - 1) + d)*-5. Let i be (25/5 + -45)/(-2). What is the greatest common factor of i and z?", "a": "5" }, { "q": "Let i(q) = q**2 + 181*q + 2974. Let w be i(-18). Suppose -3*n + 2*n + 30 = 0. What is the greatest common factor of n and w?", "a": "10" }, { "q": "Let i be (-48)/18*(3555/6)/5. Let v = i - -616. Calculate the highest common divisor of 12 and v.", "a": "12" }, { "q": "Let o be (-500)/45*(-72)/16. What is the highest common factor of 350 and o?", "a": "50" }, { "q": "Let x(v) = -116*v - 77. Let m be x(-2). What is the highest common factor of m and 217?", "a": "31" }, { "q": "Let d = 96 + -40. Let s be ((-311)/(-2))/((-17)/(-34)). Let w = s + -304. What is the highest common divisor of d and w?", "a": "7" }, { "q": "Suppose 0 = -5*y + 6*y - 132 - 4. Calculate the greatest common divisor of y and 44.", "a": "4" }, { "q": "Suppose -4870 = 112*x - 115*x + 5318. Calculate the greatest common divisor of x and 12.", "a": "12" }, { "q": "Let x(c) = c**3 - 6*c**2 + 3*c - 8. Let k be x(6). Let u(n) = -n**3 - 7*n**2 - 11*n - 25. Let j be u(-6). Calculate the greatest common factor of j and k.", "a": "5" }, { "q": "Let u(s) = -s + 2. Let k be u(-3). Let v(j) = 59*j + 3960. Let o be v(-65). What is the greatest common divisor of o and k?", "a": "5" }, { "q": "Suppose -15*q = -33*q + 252. Let v(l) = -l + 14. Let s be v(10). Suppose 76 = -s*c + 356. What is the highest common factor of c and q?", "a": "14" }, { "q": "Suppose -m + 44 = m. Let n = -232 + 244. Suppose 0 = 12*u + n*u - 2112. Calculate the greatest common factor of u and m.", "a": "22" }, { "q": "Let y be 168/(11 + -5) - -4*(-3)/6. What is the greatest common divisor of y and 1222?", "a": "26" }, { "q": "Let n(u) = u**3 + 32*u**2 - 24*u - 466. Let x be n(-32). What is the highest common divisor of 151 and x?", "a": "151" }, { "q": "Suppose 8 = 2*p, -5*p = -x - 2 - 8. Let d = -31 + 11. Let y be (30/(-4))/(10/d). What is the highest common factor of y and x?", "a": "5" }, { "q": "Let r(y) = 10*y + 365. Let n be r(-26). Calculate the greatest common factor of 3255 and n.", "a": "105" }, { "q": "Suppose 0 = 5*i - c + 3548, -5*i - 3397 = 5*c + 163. Let b be ((-322)/115)/(4/i). What is the greatest common divisor of b and 71?", "a": "71" }, { "q": "Suppose -429 = 122*d - 123*d. Let f = -28 - -57. Suppose -224 = -5*i - f. What is the highest common factor of i and d?", "a": "39" }, { "q": "Suppose -12*h + 1027 + 638 = -2439. What is the greatest common factor of h and 3933?", "a": "171" }, { "q": "Let p = -1566 + 1944. What is the highest common divisor of p and 147?", "a": "21" }, { "q": "Let d = -3450 - -3485. What is the greatest common divisor of 2030 and d?", "a": "35" }, { "q": "Suppose 0 = 19*l + 702 - 3020. What is the greatest common divisor of 1342 and l?", "a": "122" }, { "q": "Suppose 0 = 2*n + 27*n - 3990 - 4623. What is the greatest common factor of 540 and n?", "a": "27" }, { "q": "Let g(y) = -2*y**2 - 24*y + 240. Let z be g(-18). Calculate the greatest common factor of z and 1074.", "a": "6" }, { "q": "Let o = 28 - 8. Let n be 470/(-8) + (-5)/o. Let g = -42 - n. What is the greatest common divisor of 187 and g?", "a": "17" }, { "q": "Suppose -18*u + 328 = -14*u. Suppose u*f = 87*f - 75. Calculate the highest common factor of f and 135.", "a": "15" }, { "q": "Let z = -3707 + 3725. Calculate the highest common divisor of z and 261.", "a": "9" }, { "q": "Let a(j) = 6*j**2 - 3*j - 4. Let k be a(-4). Suppose -2*c = -3*y - k, 4*y - 26 = -2*c + 78. Let n = 678 + -600. Calculate the highest common divisor of c and n.", "a": "26" }, { "q": "Let g be 420*(-9 + (-7 - -16) - 10/(-3)). Calculate the highest common divisor of 40 and g.", "a": "40" }, { "q": "Let a = 53 + -32. Suppose 2*w + a = 3*w. Let z(o) = 14*o**2 + 38*o + 27. Let i be z(-2). What is the highest common factor of i and w?", "a": "7" }, { "q": "Let k = 64 + -20. Suppose -5*z + 5*y = -555, 5*z - 553 = 2*y + y. Calculate the highest common divisor of z and k.", "a": "22" }, { "q": "Let j be 4 - (-114)/(-4)*(-44)/((-99)/(-9)). Calculate the highest common divisor of j and 3363.", "a": "59" }, { "q": "Suppose 32*k = 35*k + 9. Let q be 0*1/k - (-56)/(-2). Let n = q + 38. What is the greatest common divisor of 10 and n?", "a": "10" }, { "q": "Let u(y) = 7 - 2 - 22*y + 1 + 5. Let h be u(-10). Suppose 5*n - 95 = -5*i, 3*n - 4*i - 59 = -6*i. What is the highest common divisor of n and h?", "a": "21" }, { "q": "Let p(g) = -2*g**2 + 3*g + 10. Let h be p(-5). Let f = h - -18. Let l = 44 + f. Calculate the greatest common divisor of 28 and l.", "a": "7" }, { "q": "Let q = -330 + 670. Let g be (q/119)/(2/21). What is the highest common factor of 270 and g?", "a": "30" }, { "q": "Suppose 31 - 123 = -23*m. Let c(z) = -z**2 - 7*z + 14. Let l be c(0). What is the greatest common factor of m and l?", "a": "2" }, { "q": "Suppose -778*a + 86 = -776*a. Let p = 477 + -262. What is the highest common divisor of p and a?", "a": "43" }, { "q": "Let c(p) = 17*p - 2. Let v be c(6). Let u be (2/6)/((-5)/(-45)). Let j(l) = 2*l**2 - l + 5. Let y be j(u). What is the highest common factor of y and v?", "a": "20" }, { "q": "Suppose -4*k + 1432 = 2*u - 606, 0 = 3*k - 2*u - 1511. What is the highest common factor of k and 351?", "a": "39" }, { "q": "Let g(f) = -f + 1. Suppose 2*n = -n. Let w be g(n). Let j be (3/4 - 4/(-16))*w. Calculate the greatest common divisor of 3 and j.", "a": "1" }, { "q": "Suppose 4*b - 20140 = 3*w, 5*b - 20140 = b - 2*w. What is the greatest common divisor of b and 190?", "a": "95" }, { "q": "Suppose 4*y = -2*q + 9 + 51, -y + 51 = 2*q. Suppose -5*w = -0*w - 45. What is the highest common factor of q and w?", "a": "3" }, { "q": "Let a(s) = -11*s + 34. Let m(k) = 45*k - 135. Let d(v) = -25*a(v) - 6*m(v). Let f be d(9). What is the greatest common factor of f and 55?", "a": "5" }, { "q": "Suppose 43*w - 44*w - 401 = -3*l, -l = 4*w - 151. Calculate the greatest common factor of l and 105.", "a": "15" }, { "q": "Let u = -22 - -25. Let x be (u + -23)*6/(-15). Let s(t) = 13*t + 16. Let o be s(x). Calculate the greatest common factor of o and 24.", "a": "24" }, { "q": "Let z = -3498 - -6274. Calculate the greatest common factor of 8 and z.", "a": "8" }, { "q": "Let w be 192/40 + 2/10. Suppose 2*y = x - 90, w*y + 76 = x - 5. What is the greatest common divisor of 36 and x?", "a": "12" }, { "q": "Let f(s) = 22*s - 59. Let o be f(3). Let r be (1 - 9)*o/(-2). What is the greatest common divisor of 84 and r?", "a": "28" }, { "q": "Let j(q) = 3*q**2 - 18*q + 6. Let w(f) = -5*f - 25. Let a be w(-16). Suppose -a*s - 8 = -56*s. Let z be j(s). What is the highest common divisor of 27 and z?", "a": "27" }, { "q": "Let g be (-3)/(-27)*(258 + 21). What is the greatest common factor of g and 8401?", "a": "31" }, { "q": "Let t = -2900 + 4875. Calculate the highest common factor of t and 75.", "a": "25" }, { "q": "Let t(s) = -s**3 + 2*s**2 + 4*s. Let p be t(3). Let j be p + -1 + (-4 - -2) + 22. Calculate the greatest common divisor of 33 and j.", "a": "11" }, { "q": "Let w = 2022 - 1964. What is the greatest common divisor of w and 10?", "a": "2" }, { "q": "Let b be 266/4 + 5/(-10). Suppose -372 = -3*v + u, -v - 4*u + 45 = -b. What is the greatest common factor of v and 164?", "a": "41" }, { "q": "Let n = 1621 + -1541. What is the greatest common divisor of n and 4?", "a": "4" }, { "q": "Let b(o) = 3*o**2 + 71*o - 252. Let t be b(4). Suppose 5*f = 2*f + 144. What is the greatest common factor of f and t?", "a": "16" }, { "q": "Suppose 0 = -594*n + 620*n - 988. Calculate the greatest common factor of 1216 and n.", "a": "38" }, { "q": "Let b = 2916 - 2889. Calculate the greatest common factor of b and 3942.", "a": "27" }, { "q": "Suppose -18*q = -23*q - 40, -2*t = 5*q - 90. Suppose 0 = -2*c + 198 + 452. What is the greatest common divisor of c and t?", "a": "65" }, { "q": "Let d(w) = -2*w**2 + 24*w - 6. Let h be d(11). Let r = 34 + h. What is the highest common divisor of r and 400?", "a": "50" }, { "q": "Let w be (59/3 + -6)/(9/162). What is the greatest common divisor of w and 1640?", "a": "82" }, { "q": "Let z(n) be the second derivative of n**5/20 - 11*n**4/12 + 13*n**3/3 + 5*n**2/2 + 21*n. Let x be z(9). Calculate the greatest common factor of 14 and x.", "a": "7" }, { "q": "Let f(p) = -49*p**3 + 3*p**2 + 9*p + 5. Let y be f(-2). Let k(x) = 3*x + 2. Let u be k(7). What is the greatest common divisor of y and u?", "a": "23" }, { "q": "Let m = -1377 - -3914. What is the greatest common divisor of 59 and m?", "a": "59" }, { "q": "Let t = -248 + 429. Suppose 2*r + 61 = t. What is the highest common divisor of 300 and r?", "a": "60" }, { "q": "Let v(d) = -d**3 + 6*d**2 - 9. Let s be v(4). Suppose -s = -4*q - 3. What is the highest common factor of q and 65?", "a": "5" }, { "q": "Suppose -122 = -4*u - 22. Let o = 175 - u. Calculate the greatest common divisor of o and 100.", "a": "50" }, { "q": "Let f(p) = -277*p - 253. Let j be f(-1). Calculate the highest common divisor of j and 2424.", "a": "24" }, { "q": "Let x = 39 - 41. Let c = 12 - -5. Let v = c + x. What is the highest common divisor of v and 105?", "a": "15" }, { "q": "Let f(x) = 32*x**2 - 15*x - 14. Let y be f(-1). Let n(q) = -14*q - 67. Let l be n(-26). What is the greatest common factor of l and y?", "a": "33" }, { "q": "Let w = -728 - -944. Suppose 4*s - 2 - 2 = 5*q, -5*q = 5*s - 5. Let h be (s - 2)*-2 + 25. What is the greatest common divisor of h and w?", "a": "27" }, { "q": "Let k = -109 - -267. Suppose 182 = 4*b + k. Calculate the greatest common divisor of b and 6.", "a": "6" }, { "q": "Let a be (-12 - -14)*1*2. Let z be 20/(-2*a/8). Let f be z*2/(0 + -2). What is the greatest common divisor of f and 8?", "a": "4" }, { "q": "Suppose 1728*j = 1712*j + 41600. What is the highest common factor of j and 40?", "a": "40" }, { "q": "Let y be ((-10)/(-6))/((-35)/(-42)). Suppose 1 = -4*f + a, 4 = -y*f - a - 1. Let j be (-16)/3*(f - (-22)/(-8)). What is the greatest common divisor of j and 8?", "a": "4" }, { "q": "Let l(a) = -377*a - 1194. Let w be l(-17). Calculate the highest common divisor of 35 and w.", "a": "35" }, { "q": "Suppose 0 = -3*h - 5*v - 27, v - 6*v = -h + 11. Let j be (-462)/h + 3/2. Calculate the highest common factor of 9 and j.", "a": "9" }, { "q": "Let m = 117 - 111. Let b be (5 + -12)*4/(-14). Suppose 1 = b*p - 11. Calculate the highest common factor of m and p.", "a": "6" }, { "q": "Suppose 4*w = -12 + 60. Suppose 3*o = 2*f - 4*f - w, 5*o + 20 = f. Suppose -270 = -f*k - 3*k. Calculate the greatest common factor of k and 18.", "a": "18" }, { "q": "Suppose -5*t = 4*t - 54. Suppose -t*b + 9 - 3 = 0. What is the highest common factor of b and 9?", "a": "1" }, { "q": "Let s(q) = -29*q. Let m be s(-22). Calculate the highest common divisor of m and 232.", "a": "58" }, { "q": "Suppose 27*j = 132*j - 315. What is the greatest common divisor of 597 and j?", "a": "3" }, { "q": "Let t be (-6 + 39/9)*-6. Let d be (t - -1) + -2*6/4. Let w(p) = 21*p - 2. Let x be w(2). What is the highest common factor of d and x?", "a": "8" }, { "q": "Suppose -5*i - 4*y = -7380, 5*i - 7420 = 140*y - 136*y. Calculate the highest common divisor of 30 and i.", "a": "10" }, { "q": "Let k(v) be the third derivative of -5*v**4/24 - 5*v**3/3 - 2*v**2 + 24. Let q be k(-10). Suppose 7 = h + 2. What is the highest common factor of h and q?", "a": "5" }, { "q": "Let k(w) = -11*w - 70. Let u be k(-6). Let v be 24 + 1/2*u. What is the greatest common factor of v and 132?", "a": "22" }, { "q": "Suppose 4*u = 462 + 1122. Let m be 16/6*u/48. Suppose 3*t - 1114 = -388. What is the greatest common factor of t and m?", "a": "22" }, { "q": "Let w(t) = 19*t**3 - 4*t**2 + 2*t. Suppose 14*d - 12 = 8*d. Let k be w(d). What is the greatest common divisor of 105 and k?", "a": "35" }, { "q": "Let n be -50 - -12*4/(-12). Let o be n/72 + 518/8. Calculate the greatest common divisor of 96 and o.", "a": "32" }, { "q": "Let r be 0*(25 + -24)*1/(-2). Let d(k) = -7*k + 165. Let w be d(r). What is the highest common factor of 55 and w?", "a": "55" }, { "q": "Suppose -5*b = g - 4554, -4*b + 2040 = 5*g - 1620. What is the greatest common divisor of b and 350?", "a": "70" }, { "q": "Let u be 1 + 7/(7/3). Suppose -4*m - 2*p = -44, -5*m + 68 - 13 = -u*p. Calculate the highest common factor of 451 and m.", "a": "11" }, { "q": "Suppose 0 = -106*p + 48582 + 48772 - 18808. What is the greatest common factor of p and 513?", "a": "57" }, { "q": "Let v(q) = 6*q**2 + q + 3. Let u = 23 - 20. Let w be v(u). What is the greatest common factor of w and 84?", "a": "12" }, { "q": "Let f = 22 + -19. Suppose 5 = a, f*g - 3*a + 5*a - 172 = 0. What is the highest common factor of 2 and g?", "a": "2" }, { "q": "Let f(r) = 2*r + 20. Let g be f(-9). Suppose -2*u - g*u = -2*u. Suppose -2*x + 24 + 0 = u. What is the greatest common factor of 12 and x?", "a": "12" }, { "q": "Let c(l) = -l**2 + 20*l - 35. Let t be c(23). Let p = t + 246. Suppose 2*h - 46 = -d, -5*h + p = 3*d - h. What is the highest common divisor of d and 10?", "a": "10" }, { "q": "Suppose 10*a - 18*a = -632. Let s = -64 + a. Calculate the greatest common factor of 20 and s.", "a": "5" }, { "q": "Let k(s) = 12*s - 4. Suppose 12 = g + 22. Let n be (-3 - (g - -1))/2. Let z be k(n). Calculate the highest common divisor of z and 256.", "a": "32" }, { "q": "Let b(g) = -g**3 + 4*g**2 - g + 10. Let s be b(3). Suppose s*x = 12*x + 864. Calculate the highest common divisor of 54 and x.", "a": "54" }, { "q": "Let d(o) = o**3 - 21*o**2 - 26*o + 12. Let r be d(23). Let w = r - 332. What is the highest common divisor of w and 28?", "a": "28" }, { "q": "Suppose -3*s = -0*p - 2*p - 23, p = 2*s - 14. Suppose s*r - 179 = -59. What is the highest common divisor of 24 and r?", "a": "24" }, { "q": "Suppose 0*j = -j + 2*l - 3, 2*j - 19 = -l. Suppose 1 = 4*c - j, 3*h + c = 53. Let b = h + 0. What is the highest common factor of 187 and b?", "a": "17" }, { "q": "Let u = -93 - -148. Let k be (7/21)/((-2)/(-30)). What is the highest common divisor of u and k?", "a": "5" }, { "q": "Suppose 4*u + 144 = -72. Let x = 75 + u. Calculate the greatest common divisor of x and 42.", "a": "21" }, { "q": "Let j = -4208 - -4226. Calculate the greatest common factor of j and 2934.", "a": "18" }, { "q": "Suppose 2*r + 9 = 79. Let m = r + -33. Suppose -m*i - i - 5*c + 23 = 0, -i = c - 11. What is the greatest common factor of i and 2?", "a": "2" }, { "q": "Let h be ((-84)/78)/7 - 6660/(-26). What is the greatest common divisor of h and 576?", "a": "64" }, { "q": "Suppose 0 = c - 19 - 9. Let r be (-248)/(-56) + ((-96)/c - -3). Calculate the highest common divisor of r and 8.", "a": "4" }, { "q": "Let v(f) = 78*f**2 + 2*f - 3. Let q be v(1). Let y = 37 + -30. Suppose 0 = -4*j - y + 35. Calculate the highest common divisor of q and j.", "a": "7" }, { "q": "Let m(f) = -7*f + 55. Let h(o) = -o + 24. Let q be h(24). Let x be m(q). What is the greatest common divisor of x and 385?", "a": "55" }, { "q": "Suppose 50*q - 1962 + 398 = 386. Calculate the greatest common divisor of 104 and q.", "a": "13" }, { "q": "Let t be (-11 - (-114)/12)*(-1056)/9. Let w be -2*(41 + 4 + -1). Let g be (-6)/(-4)*w/(-6). Calculate the highest common factor of g and t.", "a": "22" }, { "q": "Suppose -130 = -4*s - 2*x, -5*s - x = -5*x - 195. Let n = s - 17. What is the greatest common divisor of n and 2?", "a": "2" }, { "q": "Let j(u) = u**3 + 7*u**2 + 4*u - 6. Let a be j(-6). Suppose -3*f - 15*f = -756. What is the greatest common factor of f and a?", "a": "6" }, { "q": "Suppose 0 = 3*j + 3*w - 501, -j - w - w + 164 = 0. Let k = -90 - -192. Suppose 0 = -6*y + 3*y + k. What is the highest common divisor of y and j?", "a": "34" }, { "q": "Let a = -1046 + 5077. What is the highest common divisor of a and 278?", "a": "139" }, { "q": "Let d(h) = 378*h + 783. Let m be d(-2). Calculate the greatest common factor of 3429 and m.", "a": "27" }, { "q": "Suppose -5*d - 3*b = 1785, 4*b - 1460 = 2*d + 2*d. Let z = d - -549. What is the greatest common divisor of 54 and z?", "a": "27" }, { "q": "Suppose j = 2*j - 6. Suppose -j*y + 4 + 140 = 0. What is the greatest common divisor of y and 18?", "a": "6" }, { "q": "Suppose 0 = 14*w + 84 - 364. Let z be 3/((4/9)/4). Suppose k - 148 = 4*x, 2*x - 303 = -2*k - z. Calculate the greatest common factor of w and k.", "a": "20" }, { "q": "Let s be 3 - (7 - 4) - -5. Let b(l) = s*l**3 - 3*l**3 - 4 - l**3 + 0*l**3 + 4*l + 7*l**2. Let w be b(-6). Calculate the greatest common divisor of 4 and w.", "a": "4" }, { "q": "Let g = 2968 + -2916. What is the greatest common factor of 1690 and g?", "a": "26" }, { "q": "Let r(u) = 16*u**2 + 11*u + 143. Let w be r(-10). Calculate the greatest common factor of w and 142.", "a": "71" }, { "q": "Let j(z) = 253*z - 1257. Let f be j(5). Calculate the greatest common factor of f and 1448.", "a": "8" }, { "q": "Let k = 27 - 27. Suppose 3*x = 5*z - 10, -3*x = z + x - 2. Suppose k*s + 34 = 4*l + 2*s, -4*l + z*s = -14. What is the highest common divisor of 66 and l?", "a": "6" }, { "q": "Let s be 2 - -10 - 2*7/(-14). Suppose 11 = s*o - 28. What is the highest common divisor of o and 48?", "a": "3" }, { "q": "Suppose 35*y - 32*y = -6. Let z(k) = -59*k - 43. Let g be z(y). Let h = -31 + 61. What is the greatest common factor of h and g?", "a": "15" }, { "q": "Let h = -9 + 10. Suppose i - h = -2*f + 2, 2*i = 2*f + 36. Let b(s) = 4*s**2 - 6*s - 5. Let v be b(5). What is the highest common divisor of i and v?", "a": "13" }, { "q": "Let i(d) = 5*d**2 + 26*d + 83. Let c be i(-4). Calculate the highest common divisor of 1947 and c.", "a": "59" }, { "q": "Let o be 123 - 65 - (-1 + 4). What is the greatest common factor of o and 115?", "a": "5" }, { "q": "Suppose -2*c + 16 - 6 = 0. Suppose -2*l = c*x - 35, -4*x + 22 = -l + 2*l. Let q = 40 + 70. Calculate the greatest common divisor of l and q.", "a": "10" }, { "q": "Let m = -5565 - -8211. What is the highest common factor of m and 108?", "a": "54" }, { "q": "Suppose 3*b = 4*p - 357 - 324, -5*p + 3*b + 855 = 0. Calculate the highest common factor of 114 and p.", "a": "6" }, { "q": "Suppose -5*j + 5*i + 5 = 0, 3 = 4*j - 3*i - 3. Let l be 273/35*10/j. Calculate the highest common divisor of l and 39.", "a": "13" }, { "q": "Let n = 65 - 61. Suppose -63 = -n*u + u. Suppose -3*s = -3*t + 192, 0*t = -t - 4*s + 59. What is the highest common divisor of t and u?", "a": "21" }, { "q": "Let d be 9/(0/1 + 3). Let t(p) = -p**3 + p**2 + 2*p - 1. Let q be t(2). Let r be 5 + q + (-4)/2. Calculate the greatest common divisor of d and r.", "a": "1" }, { "q": "Let d(o) = -o**2 - 13*o + 692. Let x be d(20). What is the greatest common factor of 328 and x?", "a": "8" }, { "q": "Let h(q) = -3*q + 25. Let d = 2 - -4. Let y be h(d). Suppose y*w - 2*w + 305 = 5*a, 4*a - 276 = -4*w. Calculate the greatest common factor of 13 and a.", "a": "13" }, { "q": "Suppose -d = -4*r + 2*d - 21, 2*r + 15 = 3*d. Let m be (r/(-1))/(-3)*(-54 + -7). Calculate the greatest common factor of m and 427.", "a": "61" }, { "q": "Let q be ((-9)/(-6) - 1)/(5/(-870)). Let f = -83 - q. What is the highest common factor of f and 1?", "a": "1" }, { "q": "Suppose y = -5*u - 2*y + 150, u - 2 = 5*y. Suppose -u - 160 = f. Let a be (-7)/((-35)/(-20))*f/4. Calculate the greatest common factor of a and 17.", "a": "17" }, { "q": "Let y = -742 + 770. Calculate the greatest common factor of y and 84.", "a": "28" }, { "q": "Let m be ((693/(-6))/7)/(18/(-120)). Suppose o - 2*v - 3*v - m = 0, 2*v + 98 = o. Calculate the highest common factor of 120 and o.", "a": "30" }, { "q": "Let q(g) = -73*g + 83. Let f be q(0). What is the highest common factor of 996 and f?", "a": "83" }, { "q": "Suppose 57*v = -50*v + 117*v - 4840. Calculate the highest common factor of 198 and v.", "a": "22" }, { "q": "Suppose f - 5*r = 69, -9*f + 5*f + 196 = -4*r. Calculate the highest common divisor of 1364 and f.", "a": "44" }, { "q": "Let z = 4145 + -4003. Calculate the highest common divisor of 1 and z.", "a": "1" }, { "q": "Suppose -2*u = h + u - 93, -8 = 2*u. Suppose -6*x = -5*x - 15. Suppose -2*l + x = -15. What is the greatest common divisor of h and l?", "a": "15" }, { "q": "Let u be (-140)/(-30)*((-2)/(-6))/((-4)/(-54)). What is the greatest common divisor of 735 and u?", "a": "21" }, { "q": "Suppose 0 = 5*m - i - 2091, -4*i + 179 = 3*m - 1071. What is the greatest common factor of m and 722?", "a": "38" }, { "q": "Suppose v + 146 = 5*c - 165, -3*v - 3 = 0. Suppose -2*q = -2*x - c, 3*x - 96 + 0 = -4*q. Suppose 5*s - 268 = 1217. What is the highest common factor of s and q?", "a": "27" }, { "q": "Let y(p) = 2*p**2 + 20*p + 29. Let q be y(-20). Calculate the highest common divisor of q and 165.", "a": "33" }, { "q": "Suppose -r - 15*r = r - 22372. Calculate the greatest common divisor of 94 and r.", "a": "94" }, { "q": "Suppose -2*r = -5*j - 171, 0 = -3*r + j - 2*j + 248. Let i = 31 + -76. Let p = i + r. Calculate the greatest common factor of 95 and p.", "a": "19" }, { "q": "Let x be 3*-4*12/8. Suppose 0 = -5*w - 25, w - 418 = 4*h + 69. Let o = x - h. Calculate the greatest common factor of o and 15.", "a": "15" }, { "q": "Suppose 11*q - 1057 = 4036. Let r = q + -197. What is the highest common factor of 19 and r?", "a": "19" }, { "q": "Let j be (-7)/((-35)/20) + 0. Suppose j*t - d - d - 66 = 0, -2*t = -3*d - 43. Calculate the greatest common divisor of t and 42.", "a": "14" }, { "q": "Let x = 256 + -233. Let q(z) = -z**3 + 8*z**2 + 11*z + 4. Let y be q(8). What is the highest common factor of y and x?", "a": "23" }, { "q": "Let z be (-2)/(20/8*(-4)/25). Suppose -5*t = l - 47, z*t - 47 - 32 = -2*l. What is the highest common factor of 4 and l?", "a": "4" }, { "q": "Let y be (3 + -15)/((-6)/22). Calculate the highest common divisor of y and 2816.", "a": "44" }, { "q": "Suppose -5 - 1 = -3*v. Suppose 5*f - 24 = -3*p - p, 0 = -v*p + f + 12. Suppose -2886 + 726 = -45*y. What is the highest common factor of y and p?", "a": "6" }, { "q": "Suppose -2*v - 2*h = -96, 3*v + v = -3*h + 196. Suppose -2*k - 5*j = -119, -3*k + 137 = 4*j - v. Calculate the greatest common divisor of k and 603.", "a": "67" }, { "q": "Suppose 44 = 5*o - 2*c, -5*o + 9 + 29 = c. Let f be (-3)/o + 92845/248. Calculate the greatest common factor of f and 34.", "a": "34" }, { "q": "Let a be -1*5*(-2 - 4)/(-6)*-1174. What is the highest common divisor of 10 and a?", "a": "10" }, { "q": "Let r be 1256/19 + (-12)/(-798)*-7. What is the greatest common divisor of r and 297?", "a": "33" }, { "q": "Suppose -32700 = -20*n + 11960. What is the greatest common factor of 87 and n?", "a": "29" }, { "q": "Suppose 4*v + 15 = 2*y - 13, 0 = -3*v + 3*y - 21. Let z = 13 + v. Let i = z + 4. What is the highest common divisor of i and 70?", "a": "10" }, { "q": "Suppose -3*g - 21 = -w, 5*w + 7*g = 3*g + 48. What is the highest common factor of 668 and w?", "a": "4" }, { "q": "Let r(t) = 2*t**2 - t - 376. Let z be r(19). Calculate the highest common divisor of z and 12.", "a": "3" }, { "q": "Let s be 6/4*(0 - 16/(-12)). Let m be (2 - (s - 2)) + 1. Suppose -4*r - 5*o + 41 = m, -3*o + 54 = 5*r. What is the greatest common factor of 132 and r?", "a": "12" }, { "q": "Let i(s) = 4*s**3 - 113*s**2 + 29*s + 16. Let p be i(28). What is the highest common factor of 759 and p?", "a": "11" }, { "q": "Suppose 5*m = 4*a - 74, -11*a + 3*m - 26 = -13*a. Suppose -2*y + 464 = -y. What is the highest common divisor of y and a?", "a": "16" }, { "q": "Let s(c) = 6*c + 88. Let q be s(-20). Let b = q - -196. Calculate the highest common divisor of b and 4.", "a": "4" }, { "q": "Let j be 20 - (0 + 4/2). Suppose -123*s + 1703 + 2873 = -7601. Calculate the highest common factor of j and s.", "a": "9" }, { "q": "Suppose 40435 + 45469 = -22*k + 78*k. Calculate the greatest common divisor of k and 78.", "a": "26" }, { "q": "Let u = 147 - 144. Let w be 15*u/(2 + 17/(-10)). What is the highest common factor of 100 and w?", "a": "50" }, { "q": "Let y(j) = 3*j**2 - 33*j + 3. Let h be y(11). Let f be 2/((h/(-2))/(-1 + -2)). Calculate the highest common factor of f and 32.", "a": "4" }, { "q": "Let g(l) = -109*l + 1552. Let b be g(13). What is the greatest common factor of b and 1107?", "a": "27" }, { "q": "Suppose -11 = -3*b + 7. Suppose p - 5*w + 20 = 0, -p + 6 = 3*w - b. Suppose -5*g - 3 + 0 = -4*a, p = a - 2. What is the highest common divisor of g and 11?", "a": "1" }, { "q": "Let n be (-2 - -8) + 21 + -2. Let c = n - -183. What is the highest common factor of 13 and c?", "a": "13" }, { "q": "Suppose -320 = -5*x + 5*s, 0*s - 140 = -2*x - 4*s. Suppose -12*o = -15*o + x. What is the greatest common factor of o and 22?", "a": "22" }, { "q": "Let p = -22058 + 22261. Let k = 3 + 2. Suppose 4*h = -8, -m = k*h - 5 - 14. What is the greatest common divisor of p and m?", "a": "29" }, { "q": "Suppose 3*s - n = 7, 5*n - 3 + 2 = -3*s. Let t be (s/3)/(2/72). What is the greatest common divisor of 36 and t?", "a": "12" }, { "q": "Suppose -4*n = 12, 0 = 5*h - 3*n - 27 + 8. Calculate the highest common divisor of 880 and h.", "a": "2" }, { "q": "Suppose 54 = 62*u - 68*u. Let x(b) = -16*b - 74. Let m be x(u). What is the highest common factor of m and 14?", "a": "14" }, { "q": "Suppose -52*t - 29743 = -175*t - 9694. What is the greatest common divisor of t and 6846?", "a": "163" }, { "q": "Let i be (0 + (-1)/1)*-2. Suppose -i*x - 9 - 7 = -2*q, -3 = -q. Let j be 84/15*(0 - x). Calculate the greatest common divisor of j and 42.", "a": "14" }, { "q": "Let g = 225 - 300. Let x be (3 + 1)/((-6)/g). What is the highest common factor of 30 and x?", "a": "10" }, { "q": "Let j(v) be the second derivative of v**4/12 + 3*v**3/2 + 28*v**2 + 2*v + 2. Let f be j(0). What is the highest common divisor of 14 and f?", "a": "14" }, { "q": "Let h(j) = 4*j**2 + 17*j + 43. Let g be h(-4). What is the highest common divisor of g and 1833?", "a": "39" }, { "q": "Suppose -3*z - 234 = -16*z. Let h(i) = 9*i. Let q be (8/6)/(18/81). Let f be h(q). What is the greatest common divisor of f and z?", "a": "18" }, { "q": "Let k(z) = -z - 7. Let q = 16 + -24. Let a be k(q). Suppose -2*r + 17 = -1. Calculate the greatest common divisor of a and r.", "a": "1" }, { "q": "Let d(m) = -19*m**2 - 155*m - 4. Let b be d(-8). Suppose -3*i = -3*r + 980 + 145, i = -r + 385. What is the greatest common factor of b and r?", "a": "20" }, { "q": "Let f(q) = 5*q**2 - 97*q - 76. Let g be f(21). What is the greatest common divisor of 12 and g?", "a": "4" }, { "q": "Let l = 113 + -99. Suppose -16 = -b - l. Calculate the highest common factor of 11 and b.", "a": "1" }, { "q": "Let l = -3169 + 3177. What is the highest common factor of 824 and l?", "a": "8" }, { "q": "Suppose -12*h + 27 = -9. Suppose -1056*u - h = -1057*u. Suppose g + 3 - 15 = 0. What is the highest common divisor of u and g?", "a": "3" }, { "q": "Let y = -36 + 41. Suppose 5*n - y*h - 75 = 0, 16 = -3*n + h + 63. Let k be 6 + -10 - n/(-1). What is the highest common factor of 48 and k?", "a": "12" }, { "q": "Let i(o) = -4*o - 1. Let p be i(-14). Let h = p - -7. Calculate the highest common factor of h and 434.", "a": "62" }, { "q": "Let t(o) = 3*o**2 + 2*o + 82. Let i(y) = -2*y**2 - y - 83. Let r(b) = 4*i(b) + 3*t(b). Let q be r(11). What is the greatest common divisor of 19 and q?", "a": "19" }, { "q": "Let y = 4503 - 4494. What is the greatest common divisor of y and 4365?", "a": "9" }, { "q": "Let d = -27 + -143. Let o = d + 280. What is the highest common divisor of 22 and o?", "a": "22" }, { "q": "Suppose 31 = n + 29. Suppose n*b - 109 + 25 = 0. What is the greatest common divisor of b and 6?", "a": "6" }, { "q": "Let c(b) = b**2 - 658*b + 10969. Let y be c(17). Suppose 4*j - 1775 = 241. Calculate the greatest common divisor of j and y.", "a": "72" }, { "q": "Suppose 0 = -7*v + 5*m + 625, 3*v - 2*m = -33 + 301. Calculate the highest common factor of 450 and v.", "a": "90" }, { "q": "Suppose 3520 = 34*n - 29*n + 35*n. Calculate the greatest common divisor of n and 924.", "a": "44" }, { "q": "Suppose -218 = -18*u + 24 + 10. Calculate the greatest common factor of 4 and u.", "a": "2" }, { "q": "Let l = -55 - -103. Let x = l - 46. Calculate the greatest common factor of 26 and x.", "a": "2" }, { "q": "Let l = -1773 + 2025. Calculate the highest common factor of l and 672.", "a": "84" }, { "q": "Suppose 2*j - 50 = -90*s + 92*s, -5*j = -3*s - 123. What is the greatest common divisor of 996 and j?", "a": "12" }, { "q": "Let f be 0/2*(4 - 2 - 3). Suppose -10*w + 4*w + 216 = f. Calculate the greatest common factor of w and 27.", "a": "9" }, { "q": "Let b(i) = -i**3 - 32*i**2 + 38*i - 155. Let u be b(-38). What is the highest common divisor of u and 157?", "a": "157" }, { "q": "Let u = 96 - 227. Let y = -125 - u. Let p(q) = q**3 + 4*q**2 + q - 2. Let g be p(-2). Calculate the highest common divisor of y and g.", "a": "2" }, { "q": "Suppose -82*p - 466 + 11491 = -19*p. What is the highest common divisor of 25 and p?", "a": "25" }, { "q": "Let n = -258 + 456. Suppose -12*h - 66 = -n. Suppose 2*p - 62 = 2*q, -6*p = -p + 4*q - 173. What is the highest common divisor of p and h?", "a": "11" }, { "q": "Suppose -1 = -g, u + 7*g = 3*g + 9. Let h(t) = -8 + 2*t - 2*t**2 + 10*t**2 + 17*t - t**3 - 9*t. Let s be h(9). What is the greatest common divisor of s and u?", "a": "1" }, { "q": "Suppose 484*r + 5*d - 49 = 482*r, -5*r = 5*d - 85. Calculate the greatest common divisor of r and 556.", "a": "4" }, { "q": "Let u = -320 + 341. Calculate the greatest common factor of 182 and u.", "a": "7" }, { "q": "Suppose 2*m = -4*i + 8*i - 412, -3*m = 5*i - 493. Calculate the highest common divisor of 404 and i.", "a": "101" }, { "q": "Let a = -207 - -213. Let n(o) = -o**3 + 14*o**2 - 8*o - 15. Let v be n(a). Calculate the highest common factor of 45 and v.", "a": "45" }, { "q": "Suppose 5*y + 7 = 3*d, -4*y + 2*d = 4 + 2. Let k be (31/(-217))/(y/14). What is the highest common factor of 2 and k?", "a": "1" }, { "q": "Suppose -4*q + 1449 + 1491 = 2*y, -4*y = -3*q - 5913. Suppose 16*w + 2*w - y = 0. What is the highest common factor of w and 41?", "a": "41" }, { "q": "Suppose -n = f - 70, 2*n + 8 = -2. What is the greatest common divisor of 675 and f?", "a": "75" }, { "q": "Let d be (64/(-20))/(2/(-55)). Let i = -24 - -95. Let p = i - 60. What is the highest common divisor of d and p?", "a": "11" }, { "q": "Let z(w) = w**2 + 2*w - 29. Let c be z(11). Suppose 0 = 2*d + 36 - c. Calculate the greatest common factor of d and 26.", "a": "13" }, { "q": "Suppose -10*n + 6*n = -c + 72, -5*c = -2*n - 306. Calculate the greatest common factor of c and 636.", "a": "12" }, { "q": "Suppose 4*b + 360 = 3*d, 5*d + 4*b = -0*b + 600. Let o(m) = 2*m**2 + m + 4. Let l be o(4). What is the greatest common factor of d and l?", "a": "40" }, { "q": "Suppose -17*j + 3638 = 10*j + 7*j. Calculate the greatest common factor of j and 535.", "a": "107" }, { "q": "Let r(h) = -2*h**3 - 6*h**2 - 8*h - 4. Let v = -4 - -1. Let b be r(v). Let t = 70 - 40. Calculate the greatest common divisor of t and b.", "a": "10" }, { "q": "Let v be (-1 - -25)/(-4)*-16. Let n be 48*(v/18 - 5). Calculate the highest common factor of 12 and n.", "a": "4" }, { "q": "Let q = 4444 + -3723. What is the highest common divisor of 309 and q?", "a": "103" }, { "q": "Let p be 2 - 18/9 - (-57 - -1). Calculate the highest common divisor of 98 and p.", "a": "14" }, { "q": "Let g(b) = -b**3 - 5*b**2 + 5*b + 9. Let p = -10 + 4. Let n be g(p). Suppose 3926*q - 4050*q = -6787 - 13673. Calculate the greatest common factor of n and q.", "a": "15" }, { "q": "Suppose 59*j - 3883 = 3433. Let l = 409 + -99. Calculate the highest common divisor of j and l.", "a": "62" }, { "q": "Let u be (4/9)/((-26)/34983*-13). Let a(d) = 10*d + 9. Let r be a(6). Calculate the greatest common factor of r and u.", "a": "23" }, { "q": "Suppose 2*k = -g + 184, 3*g + 4*k - 6*k - 552 = 0. Calculate the greatest common factor of g and 1242.", "a": "46" }, { "q": "Let m(q) = 30*q**2 - 3*q. Let f be m(2). Suppose 6555 = 65*t - 42*t. Calculate the greatest common divisor of t and f.", "a": "57" }, { "q": "Let a = -589 + 287. Let n be (-1)/(4 + a/76). Let d = n + 46. What is the greatest common divisor of d and 20?", "a": "4" }, { "q": "Suppose -5*q + 21*i = 23*i - 33277, 0 = 5*i - 5. What is the highest common divisor of 55 and q?", "a": "55" }, { "q": "Let m(a) = -67*a + 494. Let q be m(7). Calculate the greatest common factor of 4925 and q.", "a": "25" }, { "q": "Let c be (6*(22/8 + -2))/((-230)/(-230460)). What is the highest common factor of c and 27?", "a": "27" }, { "q": "Let g be (-6)/30*(-5)/3 + 14095/15. What is the greatest common divisor of g and 20?", "a": "20" }, { "q": "Let m be 52/(-12) - (-4)/12. Let p be 13/26 - 10/m. Suppose -p*f = f - 8. Calculate the greatest common divisor of f and 10.", "a": "2" }, { "q": "Let v(t) = -5*t**3 - 15*t**2 - 47*t - 21. Let z be v(-3). Let o be ((-10)/3)/(4/(-48)). What is the greatest common divisor of o and z?", "a": "40" }, { "q": "Let f = 193 + -130. Let x = 88 - f. What is the greatest common factor of x and 1?", "a": "1" }, { "q": "Let t be -6*(5 - 6) + -5. Let b be (t*2)/((-24)/(-4608)) + -4. What is the greatest common factor of b and 10?", "a": "10" }, { "q": "Suppose 4*w = 4, -3*w = 2*f + 6 - 79. What is the greatest common factor of f and 2485?", "a": "35" }, { "q": "Suppose -3*j = -k - j + 197, 4*k - 804 = 4*j. Let u = k - 177. Calculate the highest common factor of 21 and u.", "a": "7" }, { "q": "Let h(g) = 3*g + 26. Let u be h(-8). Suppose 4*k - n - 640 = 0, -4*n + 14 + u = 0. Let y = -21 + 44. What is the greatest common factor of y and k?", "a": "23" }, { "q": "Suppose 90*r = 105*r - 45. Suppose -2*z + 9 = -w + 2*z, 0 = 4*w + z - 49. Suppose 49 = r*u - w. What is the greatest common factor of 50 and u?", "a": "10" }, { "q": "Let v = -29 - -36. Let d be ((-220)/15)/((-4)/18). Suppose 0 = 2*o + 10 - d. What is the highest common factor of o and v?", "a": "7" }, { "q": "Let w(v) be the first derivative of -v**3/3 - 3*v**2/2 + 46*v + 50. Let g be w(5). Calculate the greatest common factor of 24 and g.", "a": "6" }, { "q": "Let d = 21 + -14. Let n be ((-5)/(-25) - 56/(-20)) + 0. Suppose -n*w + d*q - 3*q = -340, -2*q - 116 = -w. Calculate the highest common factor of w and 12.", "a": "12" }, { "q": "Let n(g) = g**2 - 18*g - 21. Let y be n(21). Let s be (14/(-21))/((-4)/y). Suppose 0 = 3*i + i - 28. What is the greatest common factor of i and s?", "a": "7" }, { "q": "Let c(f) = f**3 - 14*f**2 - 273*f - 10. Let b be c(25). What is the highest common factor of b and 260?", "a": "20" }, { "q": "Let n = -539 + 374. Let v = -149 - n. What is the highest common factor of 104 and v?", "a": "8" }, { "q": "Let y be (58/(-203))/((-1)/77). Suppose 119 = y*b - 541. Let g be 5/(-2)*36/(-2). Calculate the highest common divisor of b and g.", "a": "15" }, { "q": "Suppose -o - o - n + 93 = 0, 5*o = 5*n + 195. Let w = 48 - o. Suppose -w*d + 135 = d. Calculate the greatest common divisor of 135 and d.", "a": "27" }, { "q": "Let s = 201 + -178. Suppose s*h = 25*h - 12. Calculate the greatest common divisor of 48 and h.", "a": "6" }, { "q": "Suppose -10*u - 31025 = -31225. Calculate the highest common divisor of 7 and u.", "a": "1" }, { "q": "Suppose 39*l = 2*a + 35*l - 448, 2*a - 428 = -l. Calculate the greatest common divisor of 56 and a.", "a": "8" }, { "q": "Let t be (6/8)/((-3)/(-528)). Let n(p) = -p**2 + 12*p - 2. Let h be n(5). What is the highest common factor of h and t?", "a": "33" }, { "q": "Let i be 7/3*(-153 - -156). What is the greatest common factor of 259 and i?", "a": "7" }, { "q": "Let v = 114 - 109. Let p(r) = 5*r**2 - 9*r + 16. Let k be p(v). What is the highest common factor of 64 and k?", "a": "32" }, { "q": "Let l(j) = 10*j**2 + 10*j + 6. Let s be l(3). Suppose 42 = -7*r + s. What is the highest common factor of r and 228?", "a": "12" }, { "q": "Let u = 811 + 564. What is the highest common factor of u and 750?", "a": "125" }, { "q": "Let j be 6*5/(-40)*-1520 + 12/4. Calculate the highest common factor of 127 and j.", "a": "127" }, { "q": "Suppose 4*g + 3*q = 2731, 254 = g - 2*q - 426. Calculate the greatest common divisor of g and 620.", "a": "62" }, { "q": "Suppose -18 = -3*k - 3*k. Let q be (0/k)/(-1*1). Let y(i) = 5*i + 9. Let o be y(q). Calculate the highest common divisor of o and 81.", "a": "9" }, { "q": "Let n = 3081 + -2124. What is the highest common divisor of 174 and n?", "a": "87" }, { "q": "Let x(v) = 3*v**2 + 4*v - 3. Let q(o) = o**2 + 2*o + 1. Let r(h) = 6*q(h) - x(h). Let j be r(-5). Calculate the highest common divisor of j and 220.", "a": "44" }, { "q": "Let y be -7 + 4 + (10 + 3)*412. Calculate the highest common divisor of 101 and y.", "a": "101" }, { "q": "Let j(d) = d**3 + 15*d**2 + 31*d - 17. Let a be j(-12). What is the highest common factor of 7783 and a?", "a": "43" }, { "q": "Let k = 20 - -93. Suppose 111*r + 30 = k*r. Calculate the greatest common divisor of 10 and r.", "a": "5" }, { "q": "Let n(o) = -3*o - 4. Let d(f) = f - 12. Let h be d(-9). Let i = -25 - h. Let y be n(i). What is the greatest common factor of 32 and y?", "a": "8" }, { "q": "Suppose 2 = -k, -4*r + 14 = 2*k - 286. Suppose 2*f = -5*t + 20, 5*t + 5*f = 6*t - 4. Calculate the highest common factor of t and r.", "a": "4" }, { "q": "Suppose -5*j + 7*j - 6 = 0. Suppose 5*l + 745 = 5*k, j*k - 8*k = -3*l - 747. Calculate the highest common divisor of k and 6.", "a": "6" }, { "q": "Let u = -397 - -418. Suppose -c + 27 = -0*v - v, c = -v + u. Suppose 5*w = 2*w + 24. What is the greatest common factor of w and c?", "a": "8" }, { "q": "Let i = -630 - -635. Suppose q - 3*c + 295 = 3*q, 4*q + 5*c = 595. Calculate the greatest common factor of q and i.", "a": "5" }, { "q": "Let r = -266 + 487. Let m be 510/45*(-12)/(-8). Calculate the greatest common divisor of m and r.", "a": "17" }, { "q": "Let d be 18 + (-2)/3 + 6/(-18). Suppose 0 = -2*t + 2, 2*t + 3*t - d = -v. Suppose l - v = 8. What is the highest common factor of 4 and l?", "a": "4" }, { "q": "Let d(h) = 3*h - 61. Let m be d(12). Let q be 5/m + (-76)/(-5). What is the highest common factor of 120 and q?", "a": "15" }, { "q": "Let s be (-149)/(-7) - 2/7. Let x be 81/108 + (-1)/(-4) + 4. Let o(q) = q**3 + 5*q**2 - 4*q + 1. Let f be o(x). What is the greatest common divisor of s and f?", "a": "21" }, { "q": "Suppose 395 = 2*s + s - 5*n, 3*n - 517 = -4*s. What is the highest common factor of s and 286?", "a": "26" }, { "q": "Suppose r = -4*r + 45. Suppose -29114 = -822*y + 30070. Calculate the highest common divisor of y and r.", "a": "9" }, { "q": "Suppose -f = 2, 0 = 118*n - 115*n - 2*f - 3142. What is the greatest common factor of n and 2?", "a": "2" }, { "q": "Suppose -36 = -5*y - 11. Suppose -2 = i - 4*m - 7, -m + 15 = 3*i. Calculate the greatest common divisor of y and i.", "a": "5" }, { "q": "Let l = 2 - 0. Let a = -148 + 688. Suppose -l*j = j - a. What is the greatest common divisor of 30 and j?", "a": "30" }, { "q": "Suppose 0 = -2*l - 2*l + 96. Suppose -4*x - 2*b = -136, -13*b = 4*x - 15*b - 120. What is the highest common factor of x and l?", "a": "8" }, { "q": "Let k be (-86)/(-387) + 2230/9. What is the highest common divisor of k and 2852?", "a": "124" }, { "q": "Let m be (-4)/6*(180/(-4))/3. Suppose 8 - m = -n. What is the greatest common divisor of 58 and n?", "a": "2" }, { "q": "Let j = 4388 - 4256. Calculate the greatest common divisor of 308 and j.", "a": "44" }, { "q": "Let j(m) = -4*m + 90. Suppose -2*x = -131 + 91. Let c be j(x). Let z = 3 - -77. Calculate the greatest common divisor of z and c.", "a": "10" }, { "q": "Let s(o) = o + 5. Let n = 37 - 37. Let f be s(n). Let h(t) = 13*t + 3. Let r be h(f). What is the greatest common divisor of 17 and r?", "a": "17" }, { "q": "Let q be (82/16 + (-2)/16)*1. Suppose 4*l - q*a - 412 = 0, -2*l - 2*l = 5*a - 452. Calculate the highest common divisor of 24 and l.", "a": "12" }, { "q": "Suppose -i - 140 = -769. Suppose 89 - i = -9*p. Calculate the highest common factor of 30 and p.", "a": "30" }, { "q": "Suppose 75*b - 12705 = 33*b + 27*b. Calculate the greatest common factor of 7 and b.", "a": "7" }, { "q": "Let g be 1/2*(4 + -4). Let n = 25 - g. Let o be (-3)/(2 - n/11). Calculate the highest common factor of 121 and o.", "a": "11" }, { "q": "Let f = -137 - -144. Suppose -w + 33 = -f. Calculate the greatest common factor of w and 360.", "a": "40" }, { "q": "Let n = 50 - -10. Let z(l) = -l + 24. Suppose -m - 3 = -3. Let h be z(m). What is the greatest common divisor of h and n?", "a": "12" }, { "q": "Let f be (-4)/12 - 7/(-3). Let c be -2 + 0 + (-11)/(-1). Let q be c*(1 + 0/f). Calculate the greatest common factor of q and 3.", "a": "3" }, { "q": "Suppose 14*r + 6*r = 5120. Let v be (-84)/(-35)*10/3. What is the highest common factor of v and r?", "a": "8" }, { "q": "Suppose -4*m = 4*u - 212, 4*m - u + 12 = 239. Calculate the highest common divisor of m and 5992.", "a": "56" }, { "q": "Suppose -5*j + 58 = 58. Suppose j = -4*w - g + 257, -w - 2*w - 4*g + 209 = 0. What is the highest common divisor of w and 105?", "a": "21" }, { "q": "Suppose 13*i = -170 + 5604. Calculate the greatest common divisor of 171 and i.", "a": "19" }, { "q": "Let q be (-1051)/6 - 5/(-30). Let j be (-1312)/(-44) + q/(-55) + -3. What is the highest common divisor of j and 70?", "a": "10" }, { "q": "Suppose -7432 = -32*y - 31*y + 13736. What is the greatest common divisor of 1792 and y?", "a": "112" }, { "q": "Let l(r) = -9*r - 5. Let w be l(-9). Let s be 2 - w*1/(-2). What is the greatest common factor of s and 48?", "a": "8" }, { "q": "Let r = -200 - -530. Suppose -3*f = -v - 4*v + r, 219 = -2*f + 3*v. Let q = f - -155. Calculate the highest common divisor of 20 and q.", "a": "10" }, { "q": "Let b = 5 + -3. Suppose -b*v + 43 = s - 0, 2*v = s + 41. Suppose -585 + 2097 = 36*z. Calculate the highest common factor of v and z.", "a": "21" }, { "q": "Let l(r) = r**3 + r + 330. Let k be l(0). Let t be (-3 - -157)*6/7. Calculate the greatest common factor of t and k.", "a": "66" }, { "q": "Suppose 0 = 37*q - 1133 - 7192. Calculate the highest common divisor of q and 50.", "a": "25" }, { "q": "Suppose -3*o + 4 = t, t - 6*t + 4 = -o. Suppose 17 = i + o. Let y be (-4)/(-3) - i/(-6). What is the greatest common factor of y and 12?", "a": "4" }, { "q": "Let p = 139 + -134. Suppose 0 = -p*q + 10*q - 1190. What is the highest common factor of q and 28?", "a": "14" }, { "q": "Let l = -102 + 100. Let d be l/5*(-300)/40. Let g be 122/8 - 1/4. Calculate the greatest common divisor of d and g.", "a": "3" }, { "q": "Suppose -43*a + 910 = 8*a + 14*a. What is the greatest common factor of 623 and a?", "a": "7" }, { "q": "Suppose 63*a = -100*a - 5*a + 28728. Calculate the greatest common divisor of 216 and a.", "a": "9" }, { "q": "Let r = -3106 + 4325. What is the greatest common factor of r and 318?", "a": "53" }, { "q": "Suppose 3*d + 524 = 3*o + 5*d, -3*o - 3*d + 522 = 0. Let r(q) = 2*q**3 + 8*q**2 - 9*q - 34. Let w be r(-3). What is the highest common factor of o and w?", "a": "11" }, { "q": "Let n(o) = 191*o**2 + o + 2. Let c be n(-1). Suppose 2*w = 5*k + 3*w - 908, 5*w = k - c. Calculate the highest common factor of 52 and k.", "a": "26" }, { "q": "Let t be -7 - 10104/(-80) - 12/40. Calculate the highest common factor of 14 and t.", "a": "7" }, { "q": "Let i(p) = 154*p - 1498. Let u be i(10). What is the highest common factor of u and 357?", "a": "21" }, { "q": "Suppose 3*t + 4*z - 104 = 0, 12 = 4*z + 4. Suppose -23*w + t*w = 405. What is the greatest common divisor of w and 405?", "a": "45" }, { "q": "Let z(h) = h**2 - 7*h + 23. Let g(q) = -2*q + 14. Let l be g(4). Let u be z(l). What is the greatest common divisor of u and 102?", "a": "17" }, { "q": "Let y(j) = 4*j**2 + 32*j + 250. Let z be y(-7). Calculate the highest common factor of z and 3219.", "a": "111" }, { "q": "Let d = 90771 + -90729. Let s = -2 - -3. Suppose -3*b + 2*b = 5*v + s, -4*b = 5*v - 41. What is the greatest common divisor of d and b?", "a": "14" }, { "q": "Suppose -3*m - 5*u + 341 = 0, 3*u - 94 = -5*m + 469. Let s be (90 + -84)/(-4*9/(-96)). Calculate the greatest common divisor of m and s.", "a": "16" }, { "q": "Suppose 13 = 2*w - 3*g - 15, 0 = -w - 3*g + 5. Let x be (692/(-1730))/(1/(-220)). What is the highest common divisor of w and x?", "a": "11" }, { "q": "Let k be (-102)/13 + 5*6/(-195). Let a be (-4)/(-32)*143 + (-1)/k. What is the greatest common divisor of a and 117?", "a": "9" }, { "q": "Let w(f) = 1012*f - 104. Let m be w(2). What is the greatest common divisor of m and 256?", "a": "128" }, { "q": "Suppose -8*k - 9*k + 1170 + 6786 = 0. What is the highest common divisor of 130 and k?", "a": "26" }, { "q": "Suppose -90*r = -49*r - 53*r + 456. Calculate the highest common divisor of 2869 and r.", "a": "19" }, { "q": "Let b = 5166 + -4956. What is the greatest common divisor of b and 224?", "a": "14" }, { "q": "Suppose -103 = -17*w + 271. Suppose -3*h + 5*h = 0. Let v(b) = b + 22. Let l be v(h). What is the highest common divisor of l and w?", "a": "22" }, { "q": "Let z be (-2)/12 + ((-958)/12 - 0). Let h = -70 - z. Suppose -5*u = -13 - 12. Calculate the highest common factor of h and u.", "a": "5" }, { "q": "Suppose g + 5*a = 2*a + 205, 0 = 5*g - 5*a - 925. Let m = g - 50. What is the greatest common divisor of m and 28?", "a": "28" }, { "q": "Let n = -82 - -541. What is the highest common factor of n and 189?", "a": "27" }, { "q": "Suppose 0 = 2*u + 2 + 8, -2*o = -5*u - 777. Calculate the greatest common factor of 846 and o.", "a": "94" }, { "q": "Let z be 1102/57*(-1884)/(-8). What is the highest common divisor of z and 29?", "a": "29" }, { "q": "Suppose 6 = 3*g - 5*s, 309*g + 2*s = 312*g - 6. Let w = 0 - -4. Let x = w + 4. What is the greatest common factor of g and x?", "a": "2" }, { "q": "Suppose -83 = -5*j - 4*r, -2*j + 5*r - 17 = -37. What is the highest common divisor of 153 and j?", "a": "3" }, { "q": "Let b(d) = -2*d**2 + 76*d - 172. Let v be b(35). What is the greatest common divisor of v and 133?", "a": "19" }, { "q": "Let p be (-16460)/(-25) + (-62)/155. Calculate the highest common factor of 28 and p.", "a": "14" }, { "q": "Let a = 202 - 200. Let q be ((3 - 9)/a - -4) + 18. Suppose -4*i + 402 = w + w, 12 = -3*i. Calculate the highest common factor of q and w.", "a": "19" }, { "q": "Let h = -13 - -180. Suppose -h = 23*o - 1409. Calculate the highest common factor of o and 126.", "a": "18" }, { "q": "Let l(a) = a**3 + 19*a**2 - 52*a + 87. Let i be l(-21). What is the highest common factor of 77 and i?", "a": "11" }, { "q": "Let h(c) = -c**3 - 23*c**2 - c - 32. Let g be h(-27). Calculate the greatest common factor of g and 82.", "a": "41" }, { "q": "Let a = 48 - 64. Let l = a + -15. Let z = 45 + l. Calculate the highest common factor of z and 7.", "a": "7" }, { "q": "Suppose 665*t - 470 = 655*t. Calculate the greatest common divisor of t and 517.", "a": "47" }, { "q": "Let m = 14578 + -9403. Calculate the greatest common factor of 207 and m.", "a": "207" }, { "q": "Let w(g) = -41*g + 1767. Let z be w(43). What is the highest common divisor of 52 and z?", "a": "4" }, { "q": "Let o(c) = 7*c**2 + 3*c + 4. Let j be o(3). Let d(h) = 3*h**3 + 6*h**2 - 185*h - 24. Let m be d(7). Calculate the highest common factor of m and j.", "a": "4" }, { "q": "Suppose 0 = -p - 3*s + 45, 61 = 5*p + 5*s - 114. What is the greatest common factor of p and 624?", "a": "6" }, { "q": "Let j be 4/(-12)*(-6322 - -19). What is the highest common factor of 11 and j?", "a": "11" }, { "q": "Let l = -208 - -345. Suppose 4*r + c - 27 = 86, 3*c = 5*r - l. Calculate the greatest common factor of 308 and r.", "a": "28" }, { "q": "Let p be 2907/15 + 1/5. Let g = p + -174. What is the greatest common factor of g and 16?", "a": "4" }, { "q": "Let i be (1008/(-147) - -6)/(2/(-14)). Calculate the greatest common factor of i and 246.", "a": "6" }, { "q": "Suppose 5*g - 272 = -57. Calculate the highest common divisor of g and 3483.", "a": "43" }, { "q": "Let f be 3/(-1) + (4 - -2). Suppose 5*r - 2*q = r + 128, 4*r - 148 = -f*q. Calculate the highest common divisor of r and 136.", "a": "34" }, { "q": "Let u be 2/1*(-26*(-12)/16 + -8). Calculate the highest common factor of 161 and u.", "a": "23" }, { "q": "Suppose -4*n + 2*r + 3*r = 12, -2*n + 12 = 2*r. Suppose 3*f - 2*f + 223 = n*w, -3*f = -3. Calculate the greatest common factor of w and 84.", "a": "28" }, { "q": "Let v(w) = -4*w**3 + 8*w**2 + 28*w + 34. Let o be v(-5). What is the highest common factor of o and 242?", "a": "22" }, { "q": "Suppose 6644 - 2584 = 28*t. What is the highest common divisor of t and 15?", "a": "5" }, { "q": "Let t = 1491 + -1137. What is the greatest common factor of t and 12?", "a": "6" }, { "q": "Suppose 4*c + 4*m - 60 = 0, 0 = -4*c - 0*c + 3*m + 39. Let j(g) = -7*g + 11*g - 2*g + g - 24. Let h be j(c). Calculate the greatest common divisor of h and 6.", "a": "6" }, { "q": "Let c = 872 + -736. Let j = 2 - -32. What is the highest common divisor of c and j?", "a": "34" }, { "q": "Suppose -35 = 6*p - 3*p - 5*a, -5*a + 30 = -2*p. Let m(g) = 2*g**2 + 2*g - 18. Let x be m(p). What is the greatest common factor of 4 and x?", "a": "2" }, { "q": "Let h be 14 - (((-1040)/(-36))/5 + (-4)/(-18)). Calculate the highest common factor of 340 and h.", "a": "4" }, { "q": "Suppose -9*w + 8*w - 2*w + 15075 = 0. Calculate the highest common divisor of w and 75.", "a": "75" }, { "q": "Suppose 0 = k - u - 924, -4*k + 3702 = -8*u + 7*u. Suppose -k = -27*w - 197. What is the greatest common factor of w and 9?", "a": "9" }, { "q": "Let x(c) = -2*c**2 - 10*c + 14. Let l be x(-6). Suppose 0 = 3*s - 4*g - 24, l*s - 2*g + 5 - 19 = 0. What is the greatest common factor of 44 and s?", "a": "4" }, { "q": "Suppose 0 = -21*b + 24*b - 3*u - 156, -348 = -5*b - 3*u. Let p be 1/2 + 23/2. Let q = 33 - p. Calculate the highest common divisor of q and b.", "a": "21" }, { "q": "Let x(f) = f**3 + 10*f**2 - 12*f - 21. Let u be x(-11). Let d(o) = o**3 + 10*o**2 + o + 21. Let k be d(u). Calculate the highest common factor of 297 and k.", "a": "11" }, { "q": "Let k = 115 + -90. Suppose -102 = k*j - 927. What is the highest common divisor of 44 and j?", "a": "11" }, { "q": "Let f be 2/(-8) + (2/(-28))/((-38)/37373). Calculate the greatest common divisor of 154 and f.", "a": "14" }, { "q": "Suppose -4*a + 2*p + 128 = p, 0 = 5*p + 20. Let g = 52 - a. Calculate the greatest common divisor of 7 and g.", "a": "7" }, { "q": "Suppose 0 = 45*w - 158079 - 187296. Calculate the greatest common divisor of 25 and w.", "a": "25" }, { "q": "Let k be (-26)/(-91)*679/2. What is the highest common factor of k and 485?", "a": "97" }, { "q": "Suppose -3 - 9 = -4*w + p, 0 = -5*w - 5*p - 10. Suppose z + 4*n + 0*n - 168 = 0, -296 = -w*z + 2*n. What is the highest common divisor of z and 19?", "a": "19" }, { "q": "Let r be (6/10 - (-24)/60)*-5. Let x be 1814/10 - 3/r. What is the greatest common factor of x and 26?", "a": "26" }, { "q": "Suppose 23*s - 57172 = 9*s + 20444. What is the highest common divisor of s and 126?", "a": "126" }, { "q": "Suppose 0 = -z - 2*m - 3*m + 114, -m = 0. Let j = z + -103. What is the greatest common factor of j and 44?", "a": "11" }, { "q": "Let v(l) = -65*l + 16. Let i be v(-2). Let t = 294 - i. Let g(y) = 36*y + 1. Let m be g(1). What is the greatest common factor of t and m?", "a": "37" }, { "q": "Suppose -3*z + 2*z = -5*z + 1480. What is the highest common factor of z and 60?", "a": "10" }, { "q": "Suppose -5*t + 110 + 25 = -5*q, 0 = q + 2. Calculate the highest common factor of t and 330.", "a": "5" }, { "q": "Let x(r) = 224*r - 2. Let t be x(1). Calculate the greatest common divisor of t and 1406.", "a": "74" }, { "q": "Suppose 0 = -109*d + 1176 - 304. What is the highest common factor of 844 and d?", "a": "4" }, { "q": "Let m be ((-2 - -4) + -1)*(24 + -1). Suppose 2*x = h + m + 28, 4*x - 4*h = 108. Let r = 64 - 28. What is the greatest common divisor of x and r?", "a": "12" }, { "q": "Let w = -4763 - -4849. What is the greatest common factor of w and 344?", "a": "86" }, { "q": "Suppose -124*p - 5675 + 14447 = -22*p. What is the greatest common factor of p and 1849?", "a": "43" }, { "q": "Let p be (-4)/(-2)*(5 - 8). Let v be (-21 - -24)*(-8)/p. Suppose v*u - m - 52 + 4 = 0, 4*u + 3*m - 32 = 0. Calculate the greatest common divisor of u and 99.", "a": "11" }, { "q": "Let a(h) = h**3 + 4*h**2 - 26*h + 14. Let m be a(-8). Let c be (17/m)/(2/(-8)). What is the highest common factor of 2 and c?", "a": "2" }, { "q": "Suppose 3*a + 2*a = 4*b + 72, -a = -2*b - 12. Let x be (34/(-8))/(3/24). Let t = x - -66. Calculate the greatest common divisor of a and t.", "a": "16" }, { "q": "Suppose 4*r = 20, 0 = 8*g - 0*r - 2*r - 20542. Calculate the greatest common divisor of 14 and g.", "a": "7" }, { "q": "Let k(o) = 2*o**3 + 132*o**2 + 14*o - 52. Let s be k(-65). What is the greatest common factor of 26 and s?", "a": "26" }, { "q": "Let a(d) = -8*d**3 - 3*d**2 + 2*d - 1. Suppose -4*o = -0*o + 12. Let i be a(o). Suppose s + i = 8*s. Calculate the highest common divisor of 39 and s.", "a": "13" }, { "q": "Let j = 1723 + -1671. Calculate the greatest common factor of 3120 and j.", "a": "52" }, { "q": "Suppose -31 = 2*y - 3*p - 243, 3*y = -3*p + 288. Let m = y + 12. Suppose -38*l - m = -40*l. What is the greatest common divisor of l and 7?", "a": "7" }, { "q": "Suppose 6*f - 4*f = -4*p - 84, 5*f + 183 = -p. Let y = -1617 - -1656. Let c = y + f. What is the highest common divisor of c and 2?", "a": "1" }, { "q": "Suppose -20*l = -276 - 844. What is the highest common divisor of l and 1750?", "a": "14" }, { "q": "Let y = -1640 - -1644. What is the highest common factor of 95 and y?", "a": "1" }, { "q": "Let q = -235 + 557. Calculate the greatest common divisor of 46 and q.", "a": "46" }, { "q": "Suppose -8327 = -6*z - 0*z - 8261. Let o = 6 + 5. Calculate the greatest common divisor of z and o.", "a": "11" }, { "q": "Let c be -4 + (298 - 2) + -4. Suppose -3*x + c - 198 = 0. Calculate the highest common factor of x and 20.", "a": "10" }, { "q": "Suppose 15*k - 857 + 196 = 1274. What is the highest common factor of 3096 and k?", "a": "129" }, { "q": "Suppose h + 10*x - 53 = 5*x, 2*h - 2*x - 46 = 0. What is the greatest common divisor of 182 and h?", "a": "14" }, { "q": "Suppose 5*l = -2*t + 17, 3*l - 6*t + 2*t = 5. Suppose 2 = 2*q, -l*q = d - 2*d + 127. Calculate the greatest common factor of 20 and d.", "a": "10" }, { "q": "Suppose -3*b = -147 + 33. Suppose 165*i + 28854 - 40900 = 38114. Calculate the greatest common factor of b and i.", "a": "38" }, { "q": "Suppose 0 = 4*q - u - 2331, -3*q - 5*u = -3*u - 1762. Suppose 968 = 5*i + 2*g, -2*g = 3*i - 0*i - q. Calculate the greatest common divisor of 24 and i.", "a": "24" }, { "q": "Let j be -20 - -17 - 3*10/(-3). Suppose 6*p = -j*p + 780. What is the highest common factor of p and 80?", "a": "20" }, { "q": "Let u(i) = 6*i - 66. Let v be u(8). Let x(l) = -5*l + 55. Let m be x(v). What is the highest common factor of 29 and m?", "a": "29" }, { "q": "Let y(u) = -32*u + 292. Let q be y(8). Calculate the greatest common factor of q and 45.", "a": "9" }, { "q": "Suppose -4*s = 3*g - 613, 5*g - 5*s + 10*s - 1015 = 0. Let h = -163 + g. Calculate the highest common divisor of h and 27.", "a": "9" }, { "q": "Let g = -40 - -82. Let r = 1708 + -1610. What is the greatest common divisor of g and r?", "a": "14" }, { "q": "Suppose 0 = -z + 5*g + 137, 0 = -0*g + g. Let w be 2/(-9) + z/9. Let i = 7 + 8. Calculate the highest common divisor of i and w.", "a": "15" }, { "q": "Let v be 7299 + -4*(-5 - 0 - (-69)/12). What is the greatest common divisor of v and 114?", "a": "114" }, { "q": "Let c(h) = 19*h**2 + 27*h + 31. Let n be c(-11). Calculate the greatest common factor of 57 and n.", "a": "19" }, { "q": "Let f = 102 - 88. Let n = 102 - 88. What is the highest common factor of f and n?", "a": "14" }, { "q": "Let u = 70 - 23. Calculate the highest common factor of 7379 and u.", "a": "47" }, { "q": "Let r = 323 - 490. Let n = 203 + r. What is the highest common factor of 4 and n?", "a": "4" }, { "q": "Suppose -4*k + 91 = -77. Suppose -9*q + 7*q + 28 = 0. Let d = q + 14. Calculate the greatest common factor of d and k.", "a": "14" }, { "q": "Let s(v) = 303*v + 359. Let p be s(-1). What is the greatest common factor of 203 and p?", "a": "7" }, { "q": "Suppose -8*a + 1170 = a. Suppose 6*u - u - x - a = 0, -20 = 4*x. Calculate the greatest common divisor of u and 100.", "a": "25" }, { "q": "Let a = -74 + 77. Suppose a*x - 372 = 2*f + 56, -f + 5 = 0. What is the greatest common factor of 73 and x?", "a": "73" }, { "q": "Suppose 3*r = -5*i + 30, 2*i = -0*i - 5*r + 31. Suppose i*j = -0*j + 108. Suppose -180 = -2*g - 3*g. What is the highest common factor of g and j?", "a": "36" }, { "q": "Let f be ((-8)/32)/((-1)/172). Suppose -5*w + 2*w = 3*t + 129, -t + 152 = -4*w. Let r = f + w. What is the highest common divisor of 4 and r?", "a": "4" }, { "q": "Suppose t = 6*t + 10. Let c be 1 - t*9/6. Let h be (-3 - -5)*c/2. What is the highest common divisor of h and 2?", "a": "2" }, { "q": "Let n(b) be the third derivative of -b**6/60 - 9*b**5/10 - 5*b**4/2 + 2*b**2 + 68*b. Let i be n(-26). Calculate the greatest common factor of i and 16.", "a": "16" }, { "q": "Let t be 2 + -1 + (1 - -4). Suppose -3216 + 432 = 2621*p - 2637*p. Calculate the highest common divisor of t and p.", "a": "6" }, { "q": "Suppose t = a - 61, 0 = -a + 13*t - 8*t + 57. Calculate the greatest common divisor of 2170 and a.", "a": "62" }, { "q": "Let f = -1052 - -1607. Suppose o + o = p + f, -3*p + 288 = o. Calculate the highest common factor of o and 62.", "a": "31" }, { "q": "Let z(c) be the first derivative of -c**3/3 + 13*c**2/2 + 10*c - 9. Let f = -13 + 26. Let p be z(f). What is the highest common factor of 10 and p?", "a": "10" }, { "q": "Let l be (-1205)/10 - 3/6. Let q = -111 - l. What is the greatest common factor of q and 70?", "a": "10" }, { "q": "Let x(l) = 30*l - 2145. Let i be x(72). Calculate the greatest common divisor of i and 2265.", "a": "15" }, { "q": "Suppose 5*h - 2*z - 9 = 0, 0*z + 3*z = 3*h. Let j be 7 + -4 + 1/(h/(-6)). Calculate the highest common factor of 7 and j.", "a": "1" }, { "q": "Suppose -2*w - 10 = -20, -a + 2*w = -70. Calculate the greatest common factor of a and 5120.", "a": "80" }, { "q": "Suppose t - r + 2*r - 11 = 0, 2*r + 22 = 2*t. Calculate the greatest common factor of t and 913.", "a": "11" }, { "q": "Suppose 4*l = -16, 0*l - 322 = -3*j - 2*l. Suppose -18*g = -23*g + 2*a + 215, 3*g = 5*a + j. What is the highest common divisor of g and 135?", "a": "45" }, { "q": "Suppose y - 5*o + 5747 = 3*y, 10 = -2*o. Calculate the highest common factor of y and 78.", "a": "78" }, { "q": "Suppose 0 = i + 2*i - 10*i. Suppose -8*y + 66 + 22 = i. Let n = -126 + 236. What is the highest common factor of n and y?", "a": "11" }, { "q": "Let v(f) = -24*f - 21. Let b be v(-14). Suppose -319*q + b*q = -680. Calculate the greatest common factor of q and 10.", "a": "10" }, { "q": "Suppose 2*u - 52 = 7*s - 2*s, -23 = -u + s. Let f be 4/(-4) + (1 - -6). Let x = f - 3. Calculate the highest common factor of u and x.", "a": "3" }, { "q": "Let n = -18337 - -18346. Let z(u) = u**3 + 7*u**2 - 5*u - 8. Let w be z(-7). What is the greatest common factor of w and n?", "a": "9" }, { "q": "Let a be (24 + 2)*(-2)/(-4). Suppose 2*c + w - 3 = -27, 5*w + 20 = 0. Let b(g) = g**2 + 5*g - 11. Let o be b(c). Calculate the highest common factor of o and a.", "a": "13" }, { "q": "Suppose -3*i = 3*b, 3*b + 2*i + 2 = 3. Suppose 5*s - b = 4*q, -4*q + 7 = 4*s - q. Calculate the highest common factor of 31 and s.", "a": "1" }, { "q": "Let l(s) = s**2 + 2*s + 204. Let d be l(61). Calculate the highest common divisor of d and 57.", "a": "57" }, { "q": "Suppose 5*b - 224 - 146 = -5*d, -3*b - 4*d = -224. Let v be ((-13)/13)/(((-1)/(-1))/(-8)). What is the highest common factor of b and v?", "a": "8" }, { "q": "Suppose 3*o + 0*o + 3*d - 390 = 0, 5*d + 10 = 0. What is the greatest common factor of 2376 and o?", "a": "132" }, { "q": "Let t be (-1)/(-3) - (-94)/6. Let j be (-12 + (-2626)/(-221))/((-4)/34). What is the highest common divisor of j and t?", "a": "1" }, { "q": "Let v(g) = -321*g + 6027. Let u be v(0). What is the highest common divisor of 147 and u?", "a": "147" }, { "q": "Let j be (17/(-34))/(1 - 962/964). Let o = -3 - j. Calculate the highest common divisor of o and 34.", "a": "34" }, { "q": "Let r be ((-14)/3 - -3)/(8/(-24)). Suppose 4*o - r*o = -4*b - 210, 2*b = -6. What is the highest common divisor of 22 and o?", "a": "22" }, { "q": "Suppose -1947 + 43131 = 8*o. What is the greatest common divisor of o and 9?", "a": "9" }, { "q": "Suppose -4 = u, 4*v - u - 345 = 91. Calculate the highest common factor of 312 and v.", "a": "12" }, { "q": "Suppose -4*h = 3*d - 416, 8*h = 4*h + 8. Let o(p) = 31*p + 20. Let n be o(5). Let f be 105/n + ((-82)/5)/(-1). What is the greatest common factor of d and f?", "a": "17" }, { "q": "Let i = 65 - 62. Suppose 520 = 4*p - 4*v, -2*p = -i*p - 2*v + 145. What is the greatest common divisor of p and 30?", "a": "15" }, { "q": "Let w be (2 + -3)/((-1)/(-18)). Let d be (9/w)/(2/72). Let t(c) = 2*c + 44. Let i be t(d). What is the highest common factor of i and 2?", "a": "2" }, { "q": "Let f be 3500/150 - (0 + 4/(-6)). Let t = 38 + -22. What is the greatest common factor of t and f?", "a": "8" }, { "q": "Let t = 38 - 13. Let m be t/(-35) - 4/14 - 33. Let d = m + 48. Calculate the greatest common divisor of 56 and d.", "a": "14" }, { "q": "Let r(x) = -35*x**3 + 4*x**2 + 4*x. Let w be r(-3). Calculate the highest common factor of w and 153.", "a": "51" }, { "q": "Let a be (-189)/(-81)*(-1060)/14*144/(-10). Calculate the greatest common divisor of a and 477.", "a": "159" }, { "q": "Let d(t) = -2*t**2 - 13*t - 6. Let y = -22 + 16. Let i be d(y). Suppose -2*h + h = 3*s - 35, -5*s = i. What is the highest common divisor of h and 7?", "a": "7" }, { "q": "Let y be 3*(-2 - 547/(-3) - -3). Suppose -4*w + 6*w - y = 0. Suppose -v + 2*v - 285 = -5*j, 5*j = v + w. What is the highest common factor of j and 8?", "a": "8" }, { "q": "Suppose -c - 2*t + 6 = 0, c - 4*t - 3 = -3*t. Suppose -s = 5*r - 665, 193 = c*r + 3*s - 350. What is the greatest common factor of r and 12?", "a": "12" }, { "q": "Let y(v) = 12*v - 7. Let u = 65 - 64. Let h be y(u). Suppose -j + 31 = 3*b, -46 = -j - b + 3*b. Calculate the highest common factor of h and j.", "a": "5" }, { "q": "Suppose 2*o - 45 = -c - 2*c, 2*o - 40 = -2*c. Let u = -10699 - -10774. What is the highest common divisor of u and o?", "a": "15" }, { "q": "Let d(n) = -n**3 + 9*n**2 - 15*n + 9. Let b be d(7). Let k be (-34)/(-3)*(b + -62)/(-4). Calculate the highest common factor of k and 68.", "a": "34" }, { "q": "Let r be 228/6*152/722. Suppose 4 = 4*n, 2*n = q - 0*q - 86. What is the greatest common factor of r and q?", "a": "8" }, { "q": "Let a = -1 - -9. Let c(t) = -t + 0*t + 3*t - 7*t - 37. Let d be c(-9). What is the highest common divisor of a and d?", "a": "8" }, { "q": "Let g = 13 + 27. Suppose -g = -b - 7*b. Suppose b*q - 17 = 28. What is the greatest common divisor of q and 99?", "a": "9" }, { "q": "Let x = 32 + -32. Suppose x = -2*j + j + 4. Let w = 24 - j. Calculate the greatest common factor of 220 and w.", "a": "20" }, { "q": "Suppose 20 = 5*p - 0*p, 4*h = 4*p + 2192. What is the greatest common divisor of h and 115?", "a": "23" }, { "q": "Let p(g) = 4*g**2 - 10*g - 16. Let t(u) = -u**2 + u + 1. Let f(m) = p(m) + 3*t(m). Let l be f(-7). What is the greatest common divisor of l and 5?", "a": "5" }, { "q": "Let h = -16 - -23. Suppose -h*x = x - 112. Let j be (4/(-2) - 2)/((-7)/x). Calculate the highest common divisor of 64 and j.", "a": "8" }, { "q": "Let h = 791 - 186. Calculate the highest common divisor of h and 484.", "a": "121" }, { "q": "Suppose -2*x + 226 = -2*r, 4*x - 560 + 111 = 5*r. Suppose 4*j = x + 100. Let d be 15703/1532 + 2*(-5)/8. Calculate the greatest common factor of d and j.", "a": "9" }, { "q": "Let x be ((8 - 4) + (-1 - -2))*1. Let v(m) = 26*m - 64. Let d be v(x). What is the highest common factor of d and 99?", "a": "33" }, { "q": "Let n(i) = 3*i**2 + 2*i - 144. Let q be n(-18). Calculate the highest common factor of q and 504.", "a": "72" }, { "q": "Let d(n) = n**3 - 59*n**2 - 246*n + 84. Let j be d(63). What is the highest common divisor of 132 and j?", "a": "66" }, { "q": "Let u be 3 - (-5 + 6) - 58*1. Let o = 4 - u. Let r = -122 + 212. What is the greatest common factor of o and r?", "a": "30" }, { "q": "Suppose -2 = -3*p + 28. Suppose -4*m - 2 = -p. Suppose -6 = -m*i - 2. What is the greatest common divisor of i and 10?", "a": "2" }, { "q": "Suppose 2*y + 18 = 2*g - 56, 25 = -5*y. What is the highest common factor of 88 and g?", "a": "8" }, { "q": "Suppose 62*r + 207 = 84*r - 343. Calculate the highest common factor of r and 125.", "a": "25" }, { "q": "Let b(v) be the third derivative of v**5/3 + 3*v**4/8 + v**3/6 + 2*v**2 - 24*v. Let s be b(-3). What is the greatest common divisor of 22 and s?", "a": "22" }, { "q": "Let i = -1057 + 1167. What is the greatest common factor of i and 66?", "a": "22" }, { "q": "Suppose 0 = -u - 3, 5*r - 5*u - 2895 = 0. Suppose r = 5*z - 704. Let x = 121 + -89. Calculate the greatest common factor of x and z.", "a": "32" }, { "q": "Suppose 2*q - 6 - 6 = 0. Let k(r) = r**3 - 2*r + 3. Let n be k(0). Suppose -280 = -n*z - 82. What is the highest common divisor of q and z?", "a": "6" }, { "q": "Let n = 4811 + -4761. What is the greatest common factor of 2 and n?", "a": "2" }, { "q": "Let t(h) = -18*h - 105. Let r be t(0). Suppose -3*o + 189 = -291. Let p = r + o. Calculate the highest common factor of p and 22.", "a": "11" }, { "q": "Let r = -5313 + 5339. Let f(b) = b**3 - 6*b**2 - 10*b + 7. Let y be f(8). Suppose y = s + 3. Calculate the highest common divisor of r and s.", "a": "26" }, { "q": "Let q be -2*(-1)/(2/21). Let b = -7 + q. Suppose -1713 + 1517 = -2*s. What is the greatest common factor of b and s?", "a": "14" }, { "q": "Let a be (-3)/(2*(-12)/16). Let t = 485 - 453. Calculate the highest common divisor of a and t.", "a": "2" }, { "q": "Suppose -4*j = -4*l - 4, -2*j + 19 = 2*l + 3*j. Suppose 2*t - l = t. Let k be 0 - ((-4 - (t + -4)) + -61). Calculate the greatest common factor of k and 7.", "a": "7" }, { "q": "Let v = 471 - 218. Let c be (-2)/(-4) - 155/(-10). Let o(h) = -h**2 + 22*h - 73. Let n be o(c). Calculate the highest common factor of n and v.", "a": "23" }, { "q": "Let t = 416 - 209. Suppose v + 2*v = t. Calculate the greatest common divisor of 23 and v.", "a": "23" }, { "q": "Let l be (-97)/(-3) + (-8)/(-12). Let v = -24 + l. Suppose -k + t + v = 0, -5*k + 36 = 5*t + 1. Calculate the greatest common divisor of 8 and k.", "a": "8" }, { "q": "Let b = 517 + -76. Let o(w) = 16*w - 1. Let d be o(4). Calculate the highest common factor of b and d.", "a": "63" }, { "q": "Suppose -3*s + 2*u + 1306 = 0, -3*s + 1276 = 14*u - 10*u. Calculate the greatest common factor of 120 and s.", "a": "24" }, { "q": "Let k be (-2)/((-56)/(-6) - 6)*(-1773 + -2). Calculate the highest common factor of 10 and k.", "a": "5" }, { "q": "Let l = 24 + -5. Let z = -2202 - -2240. Calculate the highest common factor of z and l.", "a": "19" }, { "q": "Suppose 5*k - 711 = -2*i, 0 = 5*i + 3*k - 2326 + 520. Let g = i + 8. What is the highest common divisor of 53 and g?", "a": "53" }, { "q": "Let z be ((-6)/2 + 2)/(0 + -1). Let c be z/1*-3*142/6. Let s = 131 + c. What is the highest common factor of 12 and s?", "a": "12" }, { "q": "Let p(i) = -i**2 - 32*i - 10. Let v be p(-30). Calculate the highest common factor of v and 575.", "a": "25" }, { "q": "Suppose -5*b - 102 - 8 = 0. Let u be 124/21 - b/231. What is the greatest common factor of u and 132?", "a": "6" }, { "q": "Suppose -1719*q + 1733*q - 1344 = 0. Let k(p) = p**2 + 6*p + 5. Let o be k(-5). Suppose o = -2*u + u + q. What is the greatest common divisor of 12 and u?", "a": "12" }, { "q": "Suppose -j + 38*j - 66074 = 113043. Calculate the highest common divisor of j and 103.", "a": "103" }, { "q": "Suppose 0 = 2*t + 3*t - 160. Let c(u) = 2*u**2 - 2*u + 1. Let o be c(3). Suppose 10*k - o = 147. Calculate the greatest common divisor of t and k.", "a": "16" }, { "q": "Let r = 4034 - 4024. What is the highest common factor of 4920 and r?", "a": "10" }, { "q": "Let s be 2/(-13) + 43152/624 + -24. Let i(n) = 15*n**2 - 9*n + 9. Let b be i(6). What is the highest common divisor of b and s?", "a": "45" }, { "q": "Suppose 16*f + 15 = 19*f. Suppose 0 = -3*n + 6, 34 = 4*v - f*n - 12. What is the greatest common factor of 7 and v?", "a": "7" }, { "q": "Let z(l) = 82*l**2 - 59*l - 375. Let k be z(-7). What is the greatest common divisor of 48 and k?", "a": "24" }, { "q": "Suppose 5*y - 4 + 189 = 5*c, y + 109 = 3*c. Let r = 78 - 66. Calculate the highest common factor of r and c.", "a": "12" }, { "q": "Let q be (-7 - -26 - 5) + 13. What is the highest common divisor of 396 and q?", "a": "9" }, { "q": "Suppose 80 = 7*o + o. Let m be o/2 - (-1292)/17. Calculate the highest common divisor of 3 and m.", "a": "3" }, { "q": "Let h be (-32)/(-4)*(0 + -9). Let p be 171 + (-4)/14 + h/(-56). What is the highest common divisor of p and 43?", "a": "43" }, { "q": "Let j be (-8)/(-3)*54/8. Let v be (172/(-43))/(-4*1/3). Suppose 6*f = 4*f + 4*l - 16, -2*f - v*l = -19. What is the greatest common factor of j and f?", "a": "2" }, { "q": "Suppose 8*g - 2515 - 6605 = 2*g. What is the greatest common factor of 320 and g?", "a": "80" }, { "q": "Let i be 15 + 6/(-5)*55380/(-639). Let g(q) = -3*q**3 + 2*q**2 - q. Let l be g(-2). Calculate the greatest common factor of l and i.", "a": "17" }, { "q": "Suppose 2*n - 2*a - 420 = 0, -3*n - 2*a + 1015 = 2*n. Suppose 726*b = 790*b - 5248. What is the highest common factor of n and b?", "a": "41" }, { "q": "Let t = -934 + 938. Let z be (15/(-2))/(3/(-32)). Suppose 0 = -5*a + 3*f + z, -5*f + 6 = a - 10. What is the highest common divisor of t and a?", "a": "4" }, { "q": "Suppose -4*g = -20 - 68. Suppose 0 = 5*r + 5*w - 18 + 118, -4*w = -4*r - 64. Let p = 20 + r. What is the highest common factor of g and p?", "a": "2" }, { "q": "Let z be (-697440)/(-1680) - 8/7. What is the highest common factor of 736 and z?", "a": "46" }, { "q": "Suppose i + 0*i - 3*w = 132, 4*w - 118 = -i. Let b = 35 + i. Let s = -11 + b. Calculate the greatest common factor of s and 60.", "a": "30" }, { "q": "Let l(k) = -k**3 + 20*k**2 - 58*k - 18. Let b be l(16). Calculate the highest common factor of b and 192.", "a": "6" }, { "q": "Let o = 435 + -285. Suppose 3*f = 5*w + 155 + 108, 2*f + 3*w - o = 0. What is the greatest common factor of 27 and f?", "a": "27" }, { "q": "Let y = -13 + 25. Suppose 3*f = -5*x + 32, -3*f = -5*x - 7 + 15. Let h be (0 - 2/f)/(41/(-10824)). Calculate the greatest common divisor of y and h.", "a": "12" }, { "q": "Let p(t) = 6*t - 62. Let w be p(11). Suppose -4*g = w*c - 2*g - 122, 0 = 2*c - 5*g - 31. What is the highest common factor of 6 and c?", "a": "2" }, { "q": "Let r = -26 - -73. Suppose -40*t = -r*t + 140. Suppose 3*s + 15 = 6*s. What is the highest common factor of s and t?", "a": "5" }, { "q": "Let m be 31/(-124)*(-441 + 1). What is the greatest common factor of m and 1375?", "a": "55" }, { "q": "Suppose -9 = -2*x - 1. Suppose 3*n - x - 2 = 0. Let t = 42 + -26. Calculate the highest common factor of n and t.", "a": "2" }, { "q": "Let h be (-1 - (-6)/10)/(22 + (-135984)/6180). Calculate the highest common factor of h and 1339.", "a": "103" }, { "q": "Let s(p) = -p**3 - 4*p**2 - 2*p + 4. Let d be s(-2). Suppose 149*z - 156*z + 7 = d. Calculate the greatest common factor of 21 and z.", "a": "1" }, { "q": "Suppose 0*y = -6*y - 210. Let x = y - -82. Suppose 3*u - 16 - x = 0. What is the highest common divisor of u and 105?", "a": "21" }, { "q": "Let l be 10/4*(-24)/(-30). Suppose f + l*f - 258 = 2*m, -2*f + 153 = 5*m. Calculate the highest common divisor of 48 and f.", "a": "12" }, { "q": "Suppose 3*a + 2*a = a. Suppose -5*o - s + 660 = a, -3*o + 597 = -4*s + 201. Suppose y - o = -y. What is the greatest common divisor of 6 and y?", "a": "6" }, { "q": "Let r(x) = x**2 - x - 32. Let j be r(0). Let c(b) = 76*b + 1. Let n be c(1). Let h = j + n. What is the greatest common divisor of h and 5?", "a": "5" }, { "q": "Let n = -51 + 52. Let c be (-2)/(-3) - 20/(-15). Suppose -2 + 24 = c*g. Calculate the greatest common factor of g and n.", "a": "1" }, { "q": "Let c = 43 - 38. Let a be (c/(-3) - -1) + (-2)/6. Let t be 5*(3 + -4)/a. What is the highest common divisor of t and 5?", "a": "5" }, { "q": "Let p = -188 - -6. Let j be -9 - -7 - (p + 4). What is the highest common divisor of 16 and j?", "a": "16" }, { "q": "Let a(y) be the third derivative of y**5/30 + y**4/2 + 11*y**3/6 + y**2. Let x = -180 + 173. Let w be a(x). What is the highest common factor of w and 225?", "a": "25" }, { "q": "Let v be (-12)/(-10)*11*35/154. What is the greatest common factor of v and 192?", "a": "3" }, { "q": "Suppose -12*i + 52 + 33 + 11 = 0. Let s = 5 + 3. Calculate the highest common divisor of i and s.", "a": "8" }, { "q": "Let c(f) = f**3 - 34*f**2 + 99*f + 5. Let a be c(32). Calculate the greatest common factor of 90 and a.", "a": "45" }, { "q": "Let l be 2/(-6) - (-160)/12. Let b be (l - 14)*(-114)/2. Let s = -33 + b. What is the greatest common factor of 168 and s?", "a": "24" }, { "q": "Suppose 19*v - 15*v - 540 = 0. Let s = 162 - v. What is the greatest common factor of 45 and s?", "a": "9" }, { "q": "Suppose 8 = -m - 20. Let r be -16 + 26 + (-1 - -58). Let n = r + m. Calculate the highest common divisor of 429 and n.", "a": "39" }, { "q": "Suppose -4*i + 4 = 0, -25 = 2*t - 3*t - 5*i. Suppose t = -62*u + 66*u. Suppose 0 = -3*m + 70 - 10. Calculate the highest common divisor of m and u.", "a": "5" }, { "q": "Suppose -3*c = 3*t - 765, c = -3*t - 261 + 1034. Calculate the highest common divisor of 77 and t.", "a": "7" }, { "q": "Suppose -56*l + 19033 + 2143 + 6264 = 0. What is the greatest common factor of l and 840?", "a": "70" }, { "q": "Suppose 5*w - 4*a - 3598 = 2478, 3652 = 3*w + 4*a. What is the greatest common factor of 57 and w?", "a": "19" }, { "q": "Suppose 0 = -4*z + s + 15, 9*z - 12*z + 12 = -s. What is the greatest common factor of z and 53?", "a": "1" }, { "q": "Let z = 3470 - 3246. What is the highest common factor of z and 608?", "a": "32" }, { "q": "Let c(u) be the second derivative of -5*u**3/6 - 31*u**2/2 + 4*u. Let n be c(-8). Let d be 76/1 - (-6 + 10). What is the highest common factor of d and n?", "a": "9" }, { "q": "Let d(p) = 13*p**2 - 8*p - 10. Let y be d(-4). Let x(l) = -l**2 - 12*l + 55. Let u be x(-15). Calculate the greatest common divisor of y and u.", "a": "10" }, { "q": "Let v(l) = l**2 + 19*l + 64. Let k be v(-15). Suppose -156 = -k*q - m, 5*m - 10*m = 20. Let g = -9 + 19. What is the highest common factor of q and g?", "a": "10" }, { "q": "Let u(c) = -c**3 + 8*c**2 - 5*c - 6. Let p be u(7). Suppose 263*v - 482*v + 15768 = 0. What is the greatest common factor of p and v?", "a": "8" }, { "q": "Let h(x) = 9*x + 36. Let b be h(-3). What is the highest common factor of b and 1611?", "a": "9" }, { "q": "Let i = -3153 + 3711. What is the highest common divisor of 682 and i?", "a": "62" }, { "q": "Let z be ((-6)/(-14) - 486/(-189)) + 15. Calculate the highest common divisor of z and 288.", "a": "18" }, { "q": "Suppose 10 = 7*y - 5*y, -880 = -5*s + 2*y. Calculate the highest common factor of s and 2314.", "a": "178" }, { "q": "Suppose -4*u = 3 - 7. Suppose -5*n = 3*t - 71, 2*n + 4*t - 6*t - 22 = 0. Suppose -13*x + n = -13. What is the greatest common factor of u and x?", "a": "1" }, { "q": "Let n = -220 + 166. Let f = -26 - n. What is the greatest common divisor of f and 224?", "a": "28" }, { "q": "Suppose -6818 = -9*s - 69*s + 19546. Suppose -3*j - 52 = -5*j. Calculate the highest common factor of j and s.", "a": "26" }, { "q": "Let h(o) = -88*o + 517. Let l be h(5). Calculate the greatest common divisor of 21 and l.", "a": "7" }, { "q": "Let c be (-2368)/48 - (-2)/(-3). Let m = c - -60. Calculate the greatest common factor of m and 40.", "a": "10" }, { "q": "Let k = -6 - -8. Let o be (-173)/(-2) - k/(-4). Let m be (14/8 - 2) + (-8854)/(-152). Calculate the greatest common factor of o and m.", "a": "29" }, { "q": "Suppose -5*v - 8*o + 3672 = -5*o, -2*o = -8. Calculate the greatest common factor of v and 36.", "a": "12" }, { "q": "Suppose -45 = -3*k - 2*x - 9, 4*k = 2*x + 62. Let l be -2*1 - (-3)/3. Let n(t) = 70*t**2. Let f be n(l). What is the highest common divisor of f and k?", "a": "14" }, { "q": "Suppose 0 = -8*j + 29 + 27. Let a be -1 + 2 + (27 - j). Suppose -m + 28 = m. Calculate the highest common divisor of m and a.", "a": "7" }, { "q": "Suppose -2*b - 3*b = -105. Let o be (3/4)/(20/4880). Suppose -2*p = -27 - o. Calculate the greatest common factor of b and p.", "a": "21" }, { "q": "Suppose 4*i + 27 = 19, 3*s - 3067 = -4*i. Calculate the greatest common factor of s and 100.", "a": "25" }, { "q": "Let t(y) = -y**3 + 5*y**2 + 8*y - 3. Let m be t(5). Let r be 6*(185/(-10))/(-1). Suppose r = -4*d + 5*d. What is the highest common factor of d and m?", "a": "37" }, { "q": "Let q be (0 + -4 - -6) + 0. Suppose -h + 5*g + 35 = 0, g + 69 - 26 = q*h. Calculate the highest common divisor of 70 and h.", "a": "10" }, { "q": "Let o(s) = s**3 + 6*s**2 + 7*s. Let f be o(-4). Let b be (-4)/(-3) - (-3096)/27. What is the greatest common divisor of b and f?", "a": "4" }, { "q": "Let z be (2 - 7)/((-5)/195*(-24)/(-80)). What is the highest common divisor of 234 and z?", "a": "26" }, { "q": "Suppose 3*g - 22 = -6*t + 11, -t + 2 = -3*g. Calculate the highest common divisor of 831 and g.", "a": "1" }, { "q": "Let f = 5195 + -2855. Calculate the highest common factor of f and 156.", "a": "156" }, { "q": "Let j(h) = h**2 + 5*h - 2. Let m be j(-6). Let k be (4 - 61/2 - 2)*200/(-75). Calculate the highest common divisor of k and m.", "a": "4" }, { "q": "Let l = 1 + 3. Let f(d) = d**3 + 9*d**2 - 56*d - 32. Let q be f(-13). Calculate the greatest common divisor of q and l.", "a": "4" }, { "q": "Suppose 1 = 2*z - 3. Suppose -1 = c, -4*v + 6*c + 36 = z*c. Let g = 64 + -40. What is the highest common divisor of g and v?", "a": "8" }, { "q": "Let v = -8425 - -8549. Let o = -75 - -106. Calculate the highest common factor of v and o.", "a": "31" }, { "q": "Suppose 2*s - 86 = -2*g, 5*s = -2*g + 4*g + 208. Let x(a) = a**3 - 5*a - 6. Let l be x(3). Calculate the highest common divisor of l and s.", "a": "6" }, { "q": "Let f = 5433 + -4929. Calculate the highest common divisor of f and 98.", "a": "14" }, { "q": "Let w be 4632/36 + 4/(-6). Let r be ((-247)/76)/((-2)/16). Suppose -r*u = -28*u + w. What is the highest common divisor of u and 32?", "a": "32" }, { "q": "Let l be (151 + -118)/((-2)/(-6)). What is the greatest common factor of 27 and l?", "a": "9" }, { "q": "Suppose 0 = -4*r + 2*f + 34, 94 - 46 = 3*r + 3*f. Calculate the greatest common divisor of r and 6127.", "a": "11" }, { "q": "Let n be 1371/39 - 22/143. Suppose -70 = 7*f - 12*f. What is the greatest common divisor of n and f?", "a": "7" }, { "q": "Suppose 3*v = g + v - 34, -5*v - 97 = -3*g. Let x = -36 + 39. What is the highest common factor of x and g?", "a": "3" }, { "q": "Suppose -2*t = -3*t + 19. Let h be 1 + 26 + -37 + (23 - -6). Calculate the highest common divisor of t and h.", "a": "19" }, { "q": "Let r be 48 - 0/4 - -1. Suppose -2*f + 5 + r = 0. Suppose 0*u - 984 = -4*q + 4*u, -255 = -q + 4*u. Calculate the highest common divisor of f and q.", "a": "27" }, { "q": "Suppose -4*f + 3*f - 2555 = -8*f. What is the highest common factor of f and 15?", "a": "5" }, { "q": "Suppose -10*n = 260 + 140. Let k be ((-189)/(-15))/((-12)/n). Calculate the highest common factor of k and 84.", "a": "42" }, { "q": "Suppose 0 = -15*u + 152 + 658. What is the highest common factor of 621 and u?", "a": "27" }, { "q": "Let r(h) = -24*h**3 + 28*h + 2. Let k be r(-5). Calculate the highest common factor of k and 54.", "a": "54" }, { "q": "Let p = -134 + 132. Let b be 3/3 - -17 - 4/p. Calculate the greatest common divisor of 70 and b.", "a": "10" }, { "q": "Suppose -6 = -p - d, -2*d = -p - 0*d + 12. Let t be 12/(-16) + 1 + 2044/16. What is the greatest common divisor of t and p?", "a": "8" }, { "q": "Let x = 2024 - 178. What is the highest common factor of x and 568?", "a": "142" }, { "q": "Let h = -211 - -249. Let v be ((-1)/(-3))/((-4)/(-1140)). What is the greatest common divisor of v and h?", "a": "19" }, { "q": "Let n = 504 - 495. Let r(p) = 2*p + 13. Let l be r(-6). Calculate the greatest common divisor of l and n.", "a": "1" }, { "q": "Suppose 143*h - 107*h = 6156. What is the greatest common divisor of 247 and h?", "a": "19" }, { "q": "Let z = 176 - 176. Suppose 3*w + 0*w - 2*l - 14 = z, 0 = -2*w + l + 11. What is the highest common divisor of w and 128?", "a": "8" }, { "q": "Let l(k) = 5*k**2 - 22*k - 4. Let g be l(7). Suppose 3*v - 5*a = 6*v - 164, 2*a = -5*v + 286. What is the highest common divisor of v and g?", "a": "29" }, { "q": "Let z(o) = -14*o - 867. Let p be z(-66). What is the highest common factor of 874 and p?", "a": "19" }, { "q": "Let b be (-14)/(-10) + (-24)/(-40) + -2. Suppose -23*k + 32*k - 1755 = b. Calculate the greatest common divisor of k and 15.", "a": "15" }, { "q": "Let x be 4/6 - (-1670)/6. Let o(w) = w**3 - 2*w**2 - 39*w - 72. Let t be o(-3). Suppose -b + x - 103 = t. What is the highest common divisor of 16 and b?", "a": "16" }, { "q": "Let m = 154 - 14. Suppose -m = -5*o - u, -u = -3*o + 3*u + 84. What is the highest common factor of o and 154?", "a": "14" }, { "q": "Let r = 12 - 49. Let p = 39 + r. Suppose -16 = p*j - 112. Calculate the highest common factor of 12 and j.", "a": "12" }, { "q": "Let d = -3272 + 3285. What is the highest common factor of d and 6?", "a": "1" }, { "q": "Suppose 192 = -o + 11. Let g = -174 - o. What is the greatest common divisor of 7 and g?", "a": "7" }, { "q": "Let k be 112/(-98) + 10914/7. Calculate the greatest common factor of k and 123.", "a": "41" }, { "q": "Let y = -209 - -164. Let o = y - -67. Let p be 194/18 - (-2)/9. Calculate the highest common divisor of p and o.", "a": "11" }, { "q": "Suppose 4*z - 87 = z. Suppose 104 = z*o - 70. What is the greatest common divisor of 66 and o?", "a": "6" }, { "q": "Let s be 7 + (-12)/(-8 + 4). Let r be 36/60 - (-114)/s. Suppose -4*z + r = -132. Calculate the greatest common factor of 90 and z.", "a": "18" }, { "q": "Let n = -231 + 229. Let j be -5 + n + -2 + 22. What is the highest common factor of 39 and j?", "a": "13" }, { "q": "Let f = -935 + 949. Calculate the highest common factor of f and 294.", "a": "14" }, { "q": "Suppose -2*z + 166 = u, -120 = -2*u - 3*z + 214. Suppose 54 = 45*s - 44*s + 4*d, -151 = -4*s - 3*d. Calculate the highest common factor of u and s.", "a": "34" }, { "q": "Let u(l) = -7*l**2 + 6. Let g be u(9). Let m = g - -1009. Calculate the highest common factor of 14 and m.", "a": "14" }, { "q": "Suppose -3*x + 4*c = 230 - 410, x + 5*c = 3. Let f be (-2 - -2) + 14 - 2. What is the greatest common divisor of f and x?", "a": "12" }, { "q": "Let x = 27 - -22. Let k be 2/((-12)/18) - 1*-24. What is the highest common factor of x and k?", "a": "7" }, { "q": "Let c be (-6)/(-24) + 2398/8. Let l = c + -188. Calculate the highest common divisor of l and 16.", "a": "16" }, { "q": "Let z = -77 - -110. Suppose 37*l = z*l + 100. What is the highest common factor of l and 125?", "a": "25" }, { "q": "Let c(l) be the first derivative of -l**2 + 58*l + 78. Let g be c(24). What is the greatest common factor of g and 10?", "a": "10" }, { "q": "Suppose 98 = 4*p + 6. Let f(j) = -j**2 + 20*j + 17. Let k = -40 - -55. Let r be f(k). What is the greatest common divisor of r and p?", "a": "23" }, { "q": "Let l be ((-2007)/(-126) - 16)*-98. Suppose -4*a = -9*a + 35. Calculate the highest common divisor of l and a.", "a": "7" }, { "q": "Suppose 0*z + 75 = 5*z. Let l = -46338 + 46503. Calculate the highest common factor of z and l.", "a": "15" }, { "q": "Let w(v) = v**3 - 17*v**2 - 19*v + 38. Let z be w(18). Suppose o - 4 = 0, -4*y + 3*o + z = 7*o. Let g = 6 + -3. Calculate the greatest common factor of g and y.", "a": "1" }, { "q": "Let y be (-7)/(-3) + -2 + (-1716)/(-36). Suppose 0 = -6*x + 384 + y. Let k(t) = -t**2 + 6*t + 8. Let l be k(6). Calculate the greatest common factor of x and l.", "a": "8" }, { "q": "Suppose 0*l = -4*l - 4, 2*z + 1 = -l. Suppose z = 7*p - 157 - 459. What is the greatest common factor of 16 and p?", "a": "8" }, { "q": "Let c(b) = b**3 - 5*b**2 - 34*b + 21. Let n be c(11). Let y = -253 + n. What is the greatest common factor of 160 and y?", "a": "40" }, { "q": "Let o = -3783 + 4266. What is the greatest common divisor of 115 and o?", "a": "23" }, { "q": "Suppose 444 = z - 7*z. Let a = z - -344. Calculate the highest common factor of a and 30.", "a": "30" }, { "q": "Suppose -3*g - 4*a = -19, -4*a - a - 51 = -2*g. Let r = g + -7. Suppose -2*h + 3*h - r = 0. What is the highest common divisor of 54 and h?", "a": "6" }, { "q": "Let y be 3*2/3 - 3. Let x(s) = 42*s**2 - 3*s - 1. Let a be x(y). Let b be 0 + a + -1 + (-4 - -1). What is the highest common divisor of b and 8?", "a": "8" }, { "q": "Let w = -92 + 114. Suppose 31*o - w*o - 1485 = 0. What is the greatest common divisor of o and 15?", "a": "15" }, { "q": "Suppose -95514 = -23*m - 23087. Calculate the highest common factor of m and 47.", "a": "47" }, { "q": "Let k be 4/14 + (-2273)/(-7). Suppose -133 = 4*j - k. Suppose 176*g - 23*g - 742 = 176. Calculate the greatest common factor of g and j.", "a": "6" }, { "q": "Let p = 2 + 1. Suppose -5*q = -6*q + p. Let h = 0 + q. Calculate the highest common factor of 1 and h.", "a": "1" }, { "q": "Suppose 0 = 353*p - 357*p - 5*k + 5158, -4*k = -4*p + 5140. What is the highest common factor of p and 585?", "a": "117" }, { "q": "Suppose -4*v - 4*c = -280, v - 55 = -634*c + 638*c. What is the highest common divisor of v and 5561?", "a": "67" }, { "q": "Let i(l) = -l**3 - 23*l**2 + 19*l - 4. Suppose 11 = 9*g + 227. Let q be i(g). What is the highest common divisor of q and 87?", "a": "29" }, { "q": "Let w be (-10)/(110/(-20823)) - -7. Calculate the greatest common factor of w and 400.", "a": "100" }, { "q": "Suppose s = -5*m + 14, 0*m = m - 5*s - 8. Let b(l) = 5*l**2 + 73*l + 71. Let j be b(-1). Calculate the highest common divisor of m and j.", "a": "3" }, { "q": "Let n(l) = 17*l**2 + 2*l - 29. Let m be n(-8). Suppose 3*i - 4*c = m, 12*c - 13*c - 5 = 0. Calculate the highest common divisor of 31 and i.", "a": "31" }, { "q": "Let x = -9296 + 9505. Suppose -4*h + 44 = -44. Calculate the highest common factor of h and x.", "a": "11" }, { "q": "Suppose g - 5*g + 288 = 0. Suppose -3*h - g = -7*h. Suppose -92 = -6*q - 20. Calculate the highest common divisor of q and h.", "a": "6" }, { "q": "Suppose 325 + 116 = 3*a. Let f(s) = s**3 - 159*s**2 + 923*s + 12. Let l be f(6). What is the greatest common factor of l and a?", "a": "21" }, { "q": "Suppose -3*j + 4*y = -4251, 95*y = 91*y + 12. What is the greatest common divisor of 406 and j?", "a": "203" }, { "q": "Let r(j) = -j**3 + 11*j**2 + 14*j - 14. Let i be r(10). Let a = -194 + i. Calculate the greatest common divisor of a and 288.", "a": "32" }, { "q": "Let z(t) = 100*t - 1888. Let q be z(28). What is the highest common factor of 48 and q?", "a": "48" }, { "q": "Suppose -127 + 391 = -11*q. Let k = q + 60. Calculate the highest common divisor of k and 324.", "a": "36" }, { "q": "Suppose -23112 = -29*c + 20620. Calculate the greatest common divisor of 104 and c.", "a": "52" }, { "q": "Let y(t) = -t**2 + 18*t + 19. Let w be y(17). Suppose 0 = -2*v + 11*v + 378. Let i = v + 66. Calculate the greatest common factor of i and w.", "a": "12" }, { "q": "Let j(q) = -94*q**2 + 10*q + 8. Let u be j(-4). Let g be (-9)/15 + u/(-10). Let v = -179 - -196. Calculate the greatest common divisor of g and v.", "a": "17" }, { "q": "Let p(r) = r**3 - 14*r**2 - 69*r + 22. Let n be p(18). Calculate the greatest common divisor of n and 12.", "a": "4" }, { "q": "Let l = -28 - -31. Suppose l*p - 279 - 777 = 0. Let u be (5/10)/(2/p). Calculate the highest common divisor of 8 and u.", "a": "8" }, { "q": "Suppose 0 = -g + b + 78, 2*b + 465 = 5*g + 84. Let t(p) = 6*p + 2. Suppose -5*r + 26 + 14 = 0. Let y be t(r). Calculate the highest common divisor of g and y.", "a": "25" }, { "q": "Suppose -125 = 2*u - 3*u. Suppose -7539*t = -7531*t - 600. Calculate the greatest common divisor of u and t.", "a": "25" }, { "q": "Let z be 416 - -8 - (-2 - -4). Suppose 4*d = -334 + z. Suppose 0*g + 2*g = 4. Calculate the greatest common divisor of d and g.", "a": "2" }, { "q": "Let y(b) = -b**2 + 10*b - 6. Let r be y(9). Suppose 0 = -3*h + 3*l + 9, 70*h + 5*l = 67*h + 9. Calculate the highest common divisor of h and r.", "a": "3" }, { "q": "Let s(y) = y**3 + 26*y**2 - 11*y - 65. Let g be s(-20). Calculate the highest common divisor of 35 and g.", "a": "35" }, { "q": "Let z(m) = -m**2 + 5*m + 7. Let j be z(6). Let h be 74*(0 + j) - (43 + -44). What is the greatest common factor of h and 45?", "a": "15" }, { "q": "Let d(b) = b**2 - 14*b + 105. Let k be d(7). Calculate the greatest common factor of k and 38.", "a": "2" }, { "q": "Let t be (-81)/2*(1 + 20/(-12)). Suppose 0 = v + 2, 2*y - 7*y + v - 53 = 0. Let q be (-35)/y - (-24)/(-132). Calculate the highest common factor of q and t.", "a": "3" }, { "q": "Suppose -2*i = 3*i - 30. Let s(u) = 6*u**2 + 17*u - 20*u + 25*u**3 + u**2 - 9 - 26*u**3. Let l be s(i). What is the greatest common factor of l and 18?", "a": "9" }, { "q": "Suppose -3*h = 2*h, 14*r - 19*r + h + 3055 = 0. What is the greatest common factor of r and 94?", "a": "47" }, { "q": "Let q = 0 + 15. Suppose -16*h + 20*h - 940 = 0. Let z = -130 + h. Calculate the highest common divisor of q and z.", "a": "15" }, { "q": "Suppose -8*k = -3*k - 5*d - 15, 3*k + 3*d - 39 = 0. Calculate the highest common factor of 2472 and k.", "a": "8" }, { "q": "Let z = 9 + -7. Suppose 0 = -7*l + 14 + 21. Suppose l*g + c = 33, -c + 11 = g + z. What is the greatest common factor of g and 15?", "a": "3" }, { "q": "Let h(k) = -k**2 - 19*k + 155. Let o be h(-23). What is the greatest common factor of 279 and o?", "a": "9" }, { "q": "Let c(y) = 234*y - 1143. Let u be c(14). What is the highest common factor of 54 and u?", "a": "27" }, { "q": "Let k(y) = 4*y**2 - 3*y + 2. Let c be k(3). Let d = -9 + c. Suppose -4*i = 4 - 0, 4*i = -3*n + 20. What is the greatest common factor of d and n?", "a": "4" }, { "q": "Suppose -k = 3*p - 9, 5*p - 5*k = -0*k - 5. Suppose p*w + 42 = 3*b - 24, 2*w + 106 = 5*b. What is the highest common divisor of 70 and b?", "a": "10" }, { "q": "Let o(w) = 3*w + 2. Let r = 2 + 6. Let y be o(r). Let u = -361 + 374. What is the greatest common factor of u and y?", "a": "13" }, { "q": "Let d(v) = -2*v**2 - 6 - 37*v + 13*v - 29*v. Let o be d(-26). What is the greatest common divisor of o and 100?", "a": "20" }, { "q": "Let o = 32 + 25. Let c = o - 27. Let l be 2/(-9) - 29/(-9). Calculate the highest common factor of c and l.", "a": "3" }, { "q": "Let l be 8/10 - 37/(2220/(-174192)). Calculate the greatest common factor of l and 24.", "a": "24" }, { "q": "Let i = 2486 + -1256. What is the greatest common factor of 30 and i?", "a": "30" }, { "q": "Let c = -2640 - -2648. What is the highest common divisor of 5 and c?", "a": "1" }, { "q": "Let s(x) = -x**3 - 6*x**2 + 42*x + 80. Let c be s(-12). Calculate the highest common divisor of c and 200.", "a": "40" }, { "q": "Suppose -26*l = -24 - 28. Let n be ((-21)/l)/(9/(-12)). Calculate the greatest common divisor of 119 and n.", "a": "7" }, { "q": "Suppose -6*k = -5*k - 6. Let y be (k*(-4)/(-15))/(1/15). Suppose y = -5*l + 224. Calculate the highest common factor of 10 and l.", "a": "10" }, { "q": "Suppose 4287 = 20*b - 2231 + 438. What is the greatest common factor of b and 19?", "a": "19" }, { "q": "Let d = 18 - -22. Suppose 0 = h - 4, -79*c - 76 = -82*c - h. Calculate the highest common divisor of d and c.", "a": "8" }, { "q": "Let d be ((54/10)/3)/(228/89300). What is the highest common factor of d and 45?", "a": "15" }, { "q": "Let f = 46 - 10. Suppose 8*u + 16 = 80. What is the greatest common factor of f and u?", "a": "4" }, { "q": "Let w = -2501 + 2523. Calculate the greatest common divisor of w and 1034.", "a": "22" }, { "q": "Suppose 24*u - 227 - 881 = 2132. Calculate the highest common divisor of 25 and u.", "a": "5" }, { "q": "Let p = -29 - -31. Let f = -23 + 28. Suppose 3*d + 0*d - p*j = 62, 103 = f*d - 3*j. What is the highest common factor of d and 4?", "a": "4" }, { "q": "Let t = 21 + -9. Let g(b) = 69*b - 15. Let x be g(1). Calculate the greatest common divisor of x and t.", "a": "6" }, { "q": "Let k(o) = -3*o - 66. Let u be k(-23). Suppose 0*d = 2*d - u*c - 53, -5*d - 4*c + 75 = 0. What is the greatest common divisor of d and 19?", "a": "19" }, { "q": "Let q = 291 + -68. Let i be (-28)/126 - q/9. Let b be 4/(-3)*(-6)/(-5)*i. What is the highest common factor of b and 16?", "a": "8" }, { "q": "Let a = -2390 - -3291. What is the greatest common factor of 106 and a?", "a": "53" }, { "q": "Suppose 5313 - 17169 = -156*r. What is the greatest common divisor of r and 1558?", "a": "38" }, { "q": "Let i(h) = 6*h**2 + 14*h - 35. Let l(g) = -31*g**2 - 71*g + 176. Let m(y) = 11*i(y) + 2*l(y). Let w be m(8). What is the greatest common factor of 29 and w?", "a": "29" }, { "q": "Let b(z) = 3*z + 46. Let l be b(-11). Suppose 4*r = -2*n + 72, -9*n - 108 = -l*n + r. Calculate the highest common factor of 476 and n.", "a": "28" }, { "q": "Suppose 2*f - 3*a - 19 + 227 = 0, 4*f - 2*a + 432 = 0. Let r = f + 131. What is the greatest common divisor of r and 35?", "a": "7" }, { "q": "Suppose 21239 = 82*y - 3115. What is the greatest common factor of y and 18?", "a": "9" }, { "q": "Let z(o) = -3*o - 6 + 11*o - o**2 + o - 3*o. Let u be z(4). Suppose 2*k + 0*k = -y, u*y - 4*k - 24 = 0. Calculate the greatest common factor of 66 and y.", "a": "6" }, { "q": "Let j(o) = 5*o - 39. Let g be j(10). Let r = -284 - -285. Calculate the greatest common factor of g and r.", "a": "1" }, { "q": "Let h be (-236)/(-295) + (-363)/(-15). Calculate the highest common factor of 9 and h.", "a": "1" }, { "q": "Let o = 1892 - 1890. Suppose 2*z - 5*z = -33. What is the greatest common divisor of o and z?", "a": "1" }, { "q": "Let k(s) = -s**3 - 23*s**2 + 107*s + 29. Let b be k(-27). What is the greatest common divisor of b and 2968?", "a": "56" }, { "q": "Suppose -5*b + 135 = -65. Let o = 17 - b. Let m = 43 + o. What is the greatest common factor of 30 and m?", "a": "10" }, { "q": "Suppose 7*r + 1 = 78. Let z be 26/2 - 7*(-12)/(-42). Calculate the highest common factor of r and z.", "a": "11" }, { "q": "Suppose 14*q - 12*q - t = 137, 2*t + 76 = q. Calculate the greatest common divisor of q and 3729.", "a": "33" }, { "q": "Let q = -218 + 658. Let p be q/15*(-3)/(-2). What is the greatest common divisor of 198 and p?", "a": "22" }, { "q": "Let y be (-259)/(-35)*(-1035)/(-23). What is the greatest common factor of y and 148?", "a": "37" }, { "q": "Let t be 3 + (1 - 1) + (-10)/10. Suppose -38 = -2*o - t*x, -2*x = o - 5*o + 70. What is the greatest common divisor of 144 and o?", "a": "18" }, { "q": "Let c(n) = 12*n + 27 + 13*n + 60*n**2 - 61*n**2. Let d be c(18). Suppose 0 = 3*z + y - 36 - 12, -5*z - 4*y = -73. What is the greatest common factor of z and d?", "a": "17" }, { "q": "Let n = -119 - -119. Let x(i) = 2*i + 13. Let s be x(n). What is the highest common factor of 104 and s?", "a": "13" }, { "q": "Suppose -38*z + 256500 = 19*z. Calculate the highest common factor of 30 and z.", "a": "30" }, { "q": "Let f(h) = 2*h**2 + 4*h - 108. Let a be f(8). What is the greatest common divisor of a and 364?", "a": "52" }, { "q": "Suppose 3*q - 458 = -3*i - 17, -i - 705 = -5*q. Calculate the highest common factor of q and 4047.", "a": "71" }, { "q": "Let z(m) = m**2 + 2*m - 6. Let p be z(-5). Let s(k) = -6*k + 3. Suppose -2*v = 30 - 28. Let w be s(v). What is the greatest common factor of w and p?", "a": "9" }, { "q": "Let j(m) = 220*m - 1333. Let u be j(16). What is the highest common divisor of u and 18?", "a": "9" }, { "q": "Let x be -5 + 86/18 + 137/9. Calculate the highest common factor of 60 and x.", "a": "15" }, { "q": "Let o be ((-7)/3)/(39/(-117)) + 78. What is the highest common factor of 35 and o?", "a": "5" }, { "q": "Let m(q) be the first derivative of 10*q**3/3 + 3*q**2/2 - 4*q - 1. Let v be m(3). Let p = -71744 - -71763. What is the greatest common divisor of v and p?", "a": "19" }, { "q": "Let w = -417 - -51. Let m = w - -600. Calculate the greatest common factor of 52 and m.", "a": "26" }, { "q": "Let m be ((-610)/250*-5)/(2/10). What is the highest common factor of 1647 and m?", "a": "61" }, { "q": "Suppose 5*z - 635 = -s, 254 = 2*z + 2*s - 0*s. Suppose -12*n + 77 = -z. Calculate the highest common factor of 119 and n.", "a": "17" }, { "q": "Let c be 1048/(-1)*767/(-118). Calculate the greatest common factor of 13 and c.", "a": "13" }, { "q": "Suppose 3*g - 48 = -3*m + m, -4*g - 46 = -m. Suppose 0 = -4*n - 2*n - 108. Let d = n + 28. What is the greatest common factor of d and m?", "a": "10" }, { "q": "Suppose 73*v = 38*v + 1925. Calculate the greatest common divisor of 1485 and v.", "a": "55" }, { "q": "Let j be -3*(1 - 14/(-6)). Let a be 3/(-15) + (-32)/j. Let g be (-10)/(-5) + -6 + 7. Calculate the highest common factor of a and g.", "a": "3" }, { "q": "Suppose 1496 = -16*l + 8*l. Let t = l + 295. Calculate the greatest common factor of 270 and t.", "a": "54" }, { "q": "Let z(v) = v**3 + 2*v**2 - 7*v + 1. Let w be z(2). Suppose 6*a = 8*a - 24. Calculate the greatest common factor of a and w.", "a": "3" }, { "q": "Suppose 11 = 4*o + t, -2*o + 17 = o - t. Suppose -4*y = -y - 309. Suppose o*s = y + 17. Calculate the greatest common divisor of 6 and s.", "a": "6" }, { "q": "Suppose 5*t - 148 = -198. Let j be 4/t + (-16336)/(-40). What is the greatest common factor of j and 51?", "a": "51" }, { "q": "Let o = 44 - 41. Suppose -y = -h - 4, 5*y = -4*h + o*y - 22. Let b be (h + 3)/((-12)/102). Calculate the highest common divisor of 187 and b.", "a": "17" }, { "q": "Suppose 1633 + 6169 + 766 = 24*n. What is the greatest common factor of 399 and n?", "a": "21" }, { "q": "Suppose -2735 = 11*z + 2215. Let t be (-24)/(-10)*z/(-18). Calculate the greatest common factor of t and 100.", "a": "20" }, { "q": "Suppose 4 - 16 = -6*n. Suppose -n*i = -4*a + 60, 2*a + 2*i - 40 = -2*i. Calculate the highest common factor of a and 20.", "a": "4" }, { "q": "Let i be 9966/18 - ((-19)/3 + 7). Calculate the greatest common factor of 49 and i.", "a": "7" }, { "q": "Let i = 4558 - 3772. What is the greatest common factor of i and 6?", "a": "6" }, { "q": "Let z = 1432 + -1426. Calculate the highest common divisor of z and 2.", "a": "2" }, { "q": "Let i(q) = -7*q + 100. Let k be i(14). Calculate the greatest common divisor of k and 62.", "a": "2" }, { "q": "Suppose -3*j - 2*r + 22 = 0, -6*r = -2*j - 10*r + 28. Suppose 7*b + 68 = 8*b. Calculate the greatest common factor of b and j.", "a": "4" }, { "q": "Let q = 98 + -102. Let j be 88 + 1/q + (-68)/(-16). What is the highest common factor of 23 and j?", "a": "23" }, { "q": "Suppose -4*m + 11*m = 35. Suppose -3*b + 194 = -m*z, 0 = 5*b - 0*b + 3*z - 346. Calculate the highest common factor of b and 34.", "a": "34" }, { "q": "Suppose 0*m = m - 18. Let k = -26575 + 26989. What is the greatest common factor of k and m?", "a": "18" }, { "q": "Let y be (48/30)/(2/5). Let h(r) = 32*r + 1. Let l be h(y). Let w = l + -59. What is the greatest common divisor of 10 and w?", "a": "10" }, { "q": "Let l = -43 - -42. Let o be (-24)/l*2/4. Let c be (-6)/(o/(-64) - 0). Calculate the highest common divisor of 80 and c.", "a": "16" }, { "q": "Let a = 11961 + -11957. Let i = -29 - -57. What is the highest common factor of i and a?", "a": "4" }, { "q": "Let n be ((-150)/42 + 7)/(2/7). Calculate the highest common factor of 4548 and n.", "a": "12" }, { "q": "Let s be 1*-2*91/(-26). Suppose s*a - 12*a + 1525 = 0. Calculate the greatest common factor of a and 122.", "a": "61" }, { "q": "Let v = 31 + -12. Let d = 23 - v. Suppose -d*w - 7 = -5*w. Calculate the greatest common divisor of 7 and w.", "a": "7" }, { "q": "Let p = -3308 - -3335. Calculate the highest common divisor of p and 72.", "a": "9" }, { "q": "Let r(c) = 3*c**2 + 4*c - 6. Let n be r(6). Suppose 3*v - k + 2*k + 94 = 0, 4*v + k = -n. Let i = v + 41. Calculate the highest common factor of i and 45.", "a": "9" }, { "q": "Suppose -3*d + 3*a + 648 = 0, 44*d - 4*a = 47*d - 683. What is the highest common factor of d and 204?", "a": "17" }, { "q": "Let d be (15/(-35))/(1/(-7)). Suppose -d*s + q = -2*s - 48, s - 44 = -q. Calculate the highest common divisor of s and 322.", "a": "46" }, { "q": "Suppose -518*h + 44 = -507*h. Calculate the greatest common factor of h and 412.", "a": "4" }, { "q": "Suppose 10 = -9*q + 7*q. Let w(s) = -2*s**3 - s + 17. Let v be w(q). What is the greatest common factor of 68 and v?", "a": "68" }, { "q": "Let f(o) = -o - 7. Let h be f(-2). Let g(x) = 5*x**2 + x + 10. Let a be g(h). What is the highest common factor of a and 52?", "a": "26" }, { "q": "Suppose 2*a = -5*a + 301. Suppose 5*m + a = -2. Let o(b) = b**2 + 3*b + 21. Let x be o(m). Calculate the highest common factor of x and 30.", "a": "15" }, { "q": "Let j be 0 - ((-3)/(-9))/((-7)/42). Let v = 19 + -13. Suppose -4*h + 20 = 4*c, 4*h = -3*c + 13 + v. What is the greatest common divisor of j and c?", "a": "1" }, { "q": "Let v = 65 + 43. Suppose 10*m = -4*h + 13*m + 39, 0 = -4*h + 2*m + 42. Calculate the greatest common factor of v and h.", "a": "12" }, { "q": "Suppose 0 = -w - 0 - 3. Let k be (-14)/(w/2 + 1). Suppose -6 = -28*u + 1954. What is the highest common factor of u and k?", "a": "14" }, { "q": "Suppose 124*x + 254 = 125*x. Suppose -x = -6*d - 92. What is the highest common divisor of d and 3?", "a": "3" }, { "q": "Suppose 16*d - 12*d = 112. Let c be 1*24*(-2576)/(-138). What is the highest common divisor of d and c?", "a": "28" }, { "q": "Let r = 181 + -163. Suppose -149*w - r = -155*w. What is the highest common factor of 3 and w?", "a": "3" }, { "q": "Let n(j) = 31*j**2 + j - 68. Let b be n(-7). Calculate the highest common factor of 304 and b.", "a": "76" }, { "q": "Let m = 124 - 112. Calculate the highest common divisor of m and 388.", "a": "4" }, { "q": "Let k = -6545 - -6559. Let c(w) = 3*w**3 - 2*w**2 - 2. Let i be c(2). Calculate the highest common factor of i and k.", "a": "14" }, { "q": "Suppose 2*k - 3*k = -5*b + 8, -2*k - 2*b = -8. Let q be -5 - (-1 + -5 + 2). Let u = q + k. Calculate the greatest common factor of 7 and u.", "a": "1" }, { "q": "Let d = 176 - 176. Let c be 42/(-7) - (d - 10). What is the highest common factor of 52 and c?", "a": "4" }, { "q": "Let t be (4/(-8))/((4/20)/(498/(-15))). What is the greatest common factor of t and 3735?", "a": "83" }, { "q": "Let g = -142 + 147. Let a be g/(-10)*-86 + 2. Calculate the highest common factor of a and 10.", "a": "5" }, { "q": "Suppose 61*f - 64*f = -5*c - 97, -f + 47 = 2*c. Calculate the greatest common factor of f and 741.", "a": "39" }, { "q": "Suppose 153*r = 162*r - 288. Let d be (-2)/5 + (-66)/(-15). Suppose -2*s = -d, -5*p + 2*s - 5 + 21 = 0. What is the highest common factor of p and r?", "a": "4" }, { "q": "Let q = -96 - -108. Let v be (-20)/(2/q*(-4)/4). Calculate the highest common divisor of v and 40.", "a": "40" }, { "q": "Suppose 0 = 15*i - 5378 + 1763. Suppose -5*w + i = 31. What is the greatest common divisor of w and 28?", "a": "14" }, { "q": "Suppose -148 = 21*q - 25*q. Let l = q - 37. Suppose 2*f + 0*u - 162 = 4*u, l = -3*f + 2*u + 251. Calculate the greatest common factor of f and 17.", "a": "17" }, { "q": "Let g = 1347 - 1227. What is the greatest common factor of 660 and g?", "a": "60" }, { "q": "Let d = 356 - 355. Let s be -7 + 10 + 6 + 0. Let k be s + (3 - 0) + -5. What is the greatest common factor of k and d?", "a": "1" }, { "q": "Suppose -205*z + 231*z - 7488 = 0. What is the highest common divisor of z and 270?", "a": "18" }, { "q": "Let g = -12273 - -21623. Calculate the highest common divisor of 22 and g.", "a": "22" }, { "q": "Suppose 2*k + 44 = n + 13, 4*n + 2*k = 74. Suppose -n*y + 576 = -13*y. Calculate the greatest common factor of y and 9.", "a": "9" }, { "q": "Let s be (-5 + (-539)/28)/((-5)/1520). Calculate the greatest common divisor of 76 and s.", "a": "76" }, { "q": "Let q(a) = -a**3 - 4*a**2 + 6*a - 7. Let m = -9 + 3. Let t be q(m). What is the highest common factor of t and 232?", "a": "29" }, { "q": "Let o(c) = c**3 + 24*c**2 + 2*c + 506. Let q be o(0). What is the highest common divisor of q and 66?", "a": "22" }, { "q": "Let z be 26/91 + ((-430)/(-14) - 1). Let v(f) = f - 4. Let x be v(18). Suppose 0 = b + 2 - x. What is the greatest common factor of z and b?", "a": "6" }, { "q": "Suppose -32619 = -14*z + 12237. What is the highest common factor of 36 and z?", "a": "36" }, { "q": "Let a = -4393 + 4613. What is the greatest common factor of a and 5?", "a": "5" }, { "q": "Let r(x) = -x**3 + x**2 + 4*x + 521. Let p be r(0). Suppose -4*m + p = -3*d, -3*d + d = 6. Calculate the greatest common factor of 16 and m.", "a": "16" }, { "q": "Let h be (-4 + 1)*(5/(-3) + -1). Suppose 2*b = -h*r + 3*r - 6, -14 = -3*b + 4*r. Suppose -b*q + 15 - 7 = 0. What is the greatest common divisor of 40 and q?", "a": "4" }, { "q": "Let g be ((-1)/1)/((-3)/189). Let d(w) = -4*w + 368. Let t be d(29). Calculate the greatest common factor of g and t.", "a": "63" }, { "q": "Let y(s) = -2*s**2 - 17*s + 12. Let i be y(-9). What is the highest common divisor of i and 127?", "a": "1" }, { "q": "Let x(t) = -t**3 + 8*t**2 - 13*t + 58. Let d be x(7). Calculate the highest common factor of d and 5.", "a": "1" }, { "q": "Let l = 263 + -21. Suppose l*y = 246*y - 60. What is the highest common divisor of y and 120?", "a": "15" }, { "q": "Let m = -49525 + 49629. Let d(t) = 11*t - 5. Let p be d(4). What is the greatest common factor of m and p?", "a": "13" }, { "q": "Let c = 12 + 8. Let o = -14 + 39. Calculate the greatest common divisor of o and c.", "a": "5" }, { "q": "Let p(o) = o**2 - 17*o - 754. Let u be p(45). Calculate the highest common factor of u and 368.", "a": "46" }, { "q": "Let i(h) = 2*h**2 + 235*h + 392. Let a be i(0). Let g(c) = 49*c. Let u be g(1). Calculate the greatest common divisor of a and u.", "a": "49" }, { "q": "Suppose -4*r + r = 4*m - 520, -4*r = 3*m - 705. Suppose 0 = 23*n - 5*n - r. Calculate the greatest common factor of 45 and n.", "a": "5" }, { "q": "Let l = 1331 - 339. What is the greatest common divisor of l and 93?", "a": "31" }, { "q": "Suppose -4*w - 7*j = -6*j - 306, 3*j - 6 = 0. Calculate the greatest common divisor of 1653 and w.", "a": "19" }, { "q": "Suppose -18*g = -16*g - 6. Suppose -g*w = -5*r + 31, -r - 4*r = -25. Let n be (0/(-1) - w)/((-13)/(-884)). What is the highest common factor of n and 17?", "a": "17" }, { "q": "Suppose -5*b = 5*i - 5, 0*i + 4*b = 4*i - 20. Let l(m) = 14*m + 18. Let y be l(i). Suppose 4*d - 31 = 49. What is the highest common factor of d and y?", "a": "20" }, { "q": "Let z = -1000 - -1759. Calculate the highest common factor of 44 and z.", "a": "11" }, { "q": "Suppose -10*c + 8*c = -2*u - 28, 0 = 2*u + 4. What is the highest common divisor of c and 1356?", "a": "12" }, { "q": "Let s(m) be the first derivative of 2*m**3 - 5*m**2/2 + 5*m + 1. Let p be s(2). Suppose -1059 = -8*x - p. Calculate the highest common factor of x and 26.", "a": "26" }, { "q": "Let d(h) = 2*h**2 + 5*h + 3. Let q be d(-5). Let a(f) = 195*f**2 + f. Let k be a(1). What is the highest common factor of k and q?", "a": "28" }, { "q": "Let i(p) = 9 + 5 + 4*p - 5 - 2*p**2. Let j be i(3). What is the greatest common divisor of j and 96?", "a": "3" }, { "q": "Let o = -4819 + 2592. Let p = -1249 - o. Suppose 5*t = 2*g + p, 0 = 4*t - 2*g - 715 - 67. What is the highest common divisor of 28 and t?", "a": "28" }, { "q": "Suppose -5*t = 3*l - 115, 4*t + 4*l = 5*t. Let j = -8 + 13. Suppose s - 5 = 0, 5*s - 228 = -j*q + 97. What is the greatest common factor of t and q?", "a": "20" }, { "q": "Suppose -11 + 7 = -z. Suppose -z*s = -3*s - 497. Let u be s/14 - 2/(1 + -5). Calculate the highest common factor of u and 36.", "a": "36" }, { "q": "Let x = -1817 - -1828. Calculate the highest common divisor of x and 2827.", "a": "11" }, { "q": "Let c = -2351 + 2449. What is the highest common divisor of c and 336?", "a": "14" }, { "q": "Suppose 5*r = -5*x, -3*r + x + 20 = -0*r. Let p be ((-5)/r)/((-1)/64). Suppose 0 = g - 220 + 212. Calculate the greatest common factor of p and g.", "a": "8" }, { "q": "Suppose -3*k + 195*q - 196*q = -709, 241 = k - 2*q. Calculate the highest common factor of 3 and k.", "a": "3" }, { "q": "Suppose 27*m - 664 - 1199 = 0. Suppose -8*g + 6*g - 256 = 0. Let r = -82 - g. Calculate the highest common divisor of m and r.", "a": "23" }, { "q": "Suppose 0 = -20*b + 42 + 38. Suppose b*m = 619 + 41. Let v be -1 - (8*-4)/2. What is the highest common factor of v and m?", "a": "15" }, { "q": "Let q(x) = -x**3 + 6*x**2 + 3*x + 6. Let v be q(6). Suppose -888 = 16*a - v*a. What is the highest common divisor of a and 37?", "a": "37" }, { "q": "Let c be 4*(-1 + -2)/((-60)/(-40)). Let j(u) = u + 16. Let m be j(c). Calculate the highest common divisor of 36 and m.", "a": "4" }, { "q": "Let j be -44 + ((-4)/(-6) - 10/6). Let n be ((-18)/(-15) - 2)/(6/j). Suppose 9*c - 114 = n*c. What is the greatest common divisor of 19 and c?", "a": "19" }, { "q": "Let k = 5113 - 2978. What is the highest common factor of 35 and k?", "a": "35" }, { "q": "Suppose 3*h + 141 = 4*k, -3*h = -2*k - 5*h + 74. Let r be ((-56)/21)/((-8)/12). What is the greatest common divisor of k and r?", "a": "4" }, { "q": "Let i be (-1)/4 - (27 - (-49635)/(-60)). Calculate the greatest common divisor of 450 and i.", "a": "50" }, { "q": "Suppose 12 = 48*n - 50*n. Let i(r) = 5*r + 50. Let c be i(n). Calculate the highest common divisor of c and 10.", "a": "10" }, { "q": "Let m(s) = 140*s**2 - 2*s + 4. Let f be m(-2). Suppose -3*r + 6*r + 5*k - 419 = 0, -4*r = 2*k - f. Calculate the greatest common factor of r and 11.", "a": "11" }, { "q": "Let l(s) = -s**2 + 32*s - 15. Let h = 113 + -82. Let y be l(h). Calculate the highest common divisor of y and 80.", "a": "16" }, { "q": "Let a = -1627 + 1760. Calculate the highest common factor of a and 475.", "a": "19" }, { "q": "Let c = -1139 + 6404. Calculate the highest common factor of c and 195.", "a": "195" }, { "q": "Suppose 3*b - j + 14 = -6*j, 10 = -2*b - 4*j. Let t be 147 + 36/6 + b. What is the highest common divisor of 75 and t?", "a": "75" }, { "q": "Let b(g) = -g**3 - 13*g**2 + 17*g + 54. Let o be b(-14). Calculate the highest common factor of 524 and o.", "a": "4" }, { "q": "Let i = 3689 + -3683. What is the highest common factor of i and 3786?", "a": "6" }, { "q": "Let n be ((-66)/165)/((-1)/120). Let v = 15 + -8. Let l(h) = h - 1. Let g be l(v). Calculate the greatest common divisor of n and g.", "a": "6" }, { "q": "Let z(f) = 2*f**2 - 4*f + 4. Let r be z(-4). Let q be (-6)/(-4)*r/3*2. Let x be 778/6 - (-1)/3. Calculate the greatest common factor of x and q.", "a": "26" }, { "q": "Let q(k) = k**3 + 30*k**2 + 54*k + 48. Let m be q(-28). Calculate the greatest common factor of 624 and m.", "a": "104" }, { "q": "Let c(b) = -b - 18. Let r be c(-20). Suppose 0 = r*t + l - 20, -t - 40 = -5*t + 3*l. What is the highest common factor of 70 and t?", "a": "10" }, { "q": "Let p(a) = -2 - 4*a + 5*a - 2. Let d be p(9). Suppose 100 = -101*n + 111*n. What is the greatest common divisor of n and d?", "a": "5" }, { "q": "Let u(j) = -13*j**2 - 74*j + 10. Let k be u(-3). Calculate the highest common divisor of 1472 and k.", "a": "23" }, { "q": "Let j be 88 - 2*(-3)/3. Let o(k) = 3*k**3 - 11*k**2 - 18*k + 96. Let x be o(4). What is the highest common divisor of x and j?", "a": "10" }, { "q": "Let o(r) = -429*r - 2207. Let j be o(-8). Calculate the greatest common divisor of j and 25.", "a": "25" }, { "q": "Let a be (-200)/(-35) + 8/28. Suppose a*d - 8 = 2*d. Suppose -d*h = 10, 0*h + 2*h = s - 28. Calculate the highest common factor of 18 and s.", "a": "18" }, { "q": "Let w be -1*(34/187 + (-1762)/11). Suppose 2*n - 29 = -9. Calculate the greatest common factor of n and w.", "a": "10" }, { "q": "Let y(s) = 14*s**3. Let z be y(1). Let a be 1335/(-35) - (-2)/z. Let d = a + 49. Calculate the greatest common factor of 88 and d.", "a": "11" }, { "q": "Suppose j + 4*d - 36 - 12 = 0, 5*d - 10 = 0. What is the greatest common divisor of 424 and j?", "a": "8" }, { "q": "Suppose -15 = j - 3*y + 6*y, -5*j = -5*y + 75. Suppose -4*q + 2*m = m - 288, 3*q - 3*m = 216. Let x = q + j. Calculate the greatest common divisor of 38 and x.", "a": "19" }, { "q": "Suppose 2*y = -2*y - 3*a + 1657, 3*y = -a + 1239. What is the highest common divisor of 3914 and y?", "a": "206" }, { "q": "Suppose -4*q + 8*q = -48. Let b(n) = -n**3 - 12*n**2 - 7*n + 8. Let a be b(q). What is the greatest common divisor of a and 23?", "a": "23" }, { "q": "Suppose -5*y - 23273 = 3*q, -q + 5*y = 4301 + 3490. Let m be (-2)/13 - q/286. What is the highest common factor of m and 189?", "a": "27" }, { "q": "Let c = -336 - -535. Let d = 219 - c. Calculate the greatest common factor of 4 and d.", "a": "4" }, { "q": "Let c be (-304)/(-38) - (-353 + (-5 - -3)). Calculate the highest common divisor of 231 and c.", "a": "33" }, { "q": "Suppose 11*i - 25 = 8*i - z, -4*i = -2*z - 40. Let p = -3 + 4. What is the greatest common factor of i and p?", "a": "1" }, { "q": "Suppose -141 = -5*q - 2*f + 17, 5*q - 154 = -f. Let b = 8663 + -8651. What is the highest common divisor of b and q?", "a": "6" }, { "q": "Suppose 4*k = -194 + 386. Calculate the highest common factor of k and 648.", "a": "24" }, { "q": "Let f = 474 - 457. Suppose -2*n = f*n - 95. Let s = -31 + 51. What is the greatest common factor of n and s?", "a": "5" }, { "q": "Let c = -7 - -15. Let u = 207 + 97. Suppose -4*y = 4*a - u, 0*a + 60 = a - 3*y. What is the greatest common factor of c and a?", "a": "8" }, { "q": "Suppose 0*h = -h - 2*q + 4, 4*h - 3 = 5*q. Let n(o) = h*o + 2*o - 3 - 4 - 3*o. Let j be n(16). Calculate the greatest common factor of j and 9.", "a": "9" }, { "q": "Let i(z) be the first derivative of -3*z**2/2 + 38*z - 31. Let j be i(-14). Calculate the greatest common factor of j and 16.", "a": "16" }, { "q": "Let t = -119 + 129. Suppose 0 = t*r - 509 - 51. Calculate the greatest common factor of r and 14.", "a": "14" }, { "q": "Let v = 3409 + -3408. What is the highest common factor of v and 197?", "a": "1" }, { "q": "Let m = -972 - -1232. What is the highest common factor of 20 and m?", "a": "20" }, { "q": "Let h = -35 - -35. Suppose -4*p + 2*f + 2*f = -252, h = -2*f - 6. Calculate the highest common divisor of p and 120.", "a": "60" }, { "q": "Suppose -10*u + 3*h - 597 = -6*u, 5*u + h + 751 = 0. Let i = u + 177. What is the highest common divisor of i and 243?", "a": "27" }, { "q": "Let y = -6551 + 6727. Let a(s) = 5*s**2 - 7*s - 6. Let w be a(6). What is the highest common factor of y and w?", "a": "44" }, { "q": "Suppose -2*y - 4*x + 50 = 0, -618 = -3*y - 4*x - 539. Let k = 56 + 2. What is the greatest common factor of y and k?", "a": "29" }, { "q": "Let a(d) = 2 + 0 + d**2 + 5*d + 6*d - 2*d. Let c be a(-9). Suppose -2*o + 48 = c*o. What is the greatest common divisor of 96 and o?", "a": "12" }, { "q": "Let v be 2*6/44 - 47904/(-528). What is the greatest common divisor of 403 and v?", "a": "13" }, { "q": "Suppose 3*t - 119 = -2*r + 261, 4*r + 3*t - 760 = 0. Let a = r - 129. What is the greatest common divisor of a and 183?", "a": "61" }, { "q": "Let c(n) = 7*n + 64 - 139 - 2*n**2 + 30*n**3 + 70. Let g be c(1). What is the greatest common divisor of 18 and g?", "a": "6" }, { "q": "Suppose 9 = -3*s + 90. Suppose 20*i - s - 13 = 0. Let w = 3 - 2. What is the greatest common divisor of i and w?", "a": "1" }, { "q": "Suppose 64*a = -32*a + 13248. What is the highest common factor of 54 and a?", "a": "6" }, { "q": "Suppose 4*w - 34 = -0*w + 2*v, -4*v + 2 = 2*w. Let n be w*110/50 + 6/10. Calculate the highest common factor of 32 and n.", "a": "16" }, { "q": "Suppose 4*l + 4*y - 16 = 28, -47 = -5*l - 3*y. Suppose -k + 11 = -l. Let u = -15 + k. Calculate the greatest common divisor of 3 and u.", "a": "3" }, { "q": "Let v(n) = n**3 - 17*n**2 - 14*n + 246. Let d be v(17). Calculate the greatest common factor of d and 712.", "a": "8" }, { "q": "Let o = -1051 - -1111. What is the greatest common factor of o and 15?", "a": "15" }, { "q": "Let q(h) = 95*h - 172. Let l be q(5). What is the greatest common divisor of l and 3?", "a": "3" }, { "q": "Suppose -2*g - 1 = -3*j + 3, -4*g = 8. Suppose 6*q - 72 = -j*q. Suppose 0*k - 9*k = -864. What is the highest common factor of q and k?", "a": "12" }, { "q": "Suppose -5021*i = -5031*i + 41280. What is the greatest common divisor of 24 and i?", "a": "24" }, { "q": "Suppose 5*p - 45 = -5*z + 25, 4*z = 3*p + 49. Suppose 41*k + 21*k = 7254. What is the highest common factor of k and z?", "a": "13" }, { "q": "Let t = 3115 - 3106. What is the highest common factor of t and 9?", "a": "9" }, { "q": "Suppose -f - 5024 = -2*r - 0*r, 5*r + 4*f = 12534. What is the greatest common factor of 10 and r?", "a": "10" }, { "q": "Let y(r) = -r**3 - 10*r**2 - r + 18. Let n = -11 + 10. Let h(m) = 12*m + 2. Let f be h(n). Let l be y(f). Calculate the greatest common factor of l and 7.", "a": "7" }, { "q": "Suppose 125 = 4*w + 29. Let c = 183 + -243. Let y be (6 - 5)*-1*c. Calculate the greatest common divisor of y and w.", "a": "12" }, { "q": "Suppose 5*l + 40 = 4*k, 5*k - 10*l + 6*l = 50. What is the greatest common factor of k and 1700?", "a": "10" }, { "q": "Let g(u) = -3*u**3 + 160*u**2 + 113*u - 10. Let l be g(54). Calculate the highest common factor of l and 52.", "a": "52" }, { "q": "Let j = 1564 + -1092. Calculate the greatest common factor of 1534 and j.", "a": "118" }, { "q": "Let q be (2 + 747)*61/61. What is the greatest common factor of 214 and q?", "a": "107" }, { "q": "Suppose -3*i = -197 - 58. Suppose 4*l - a - 100 = -5*a, a - i = -3*l. What is the greatest common divisor of l and 105?", "a": "15" }, { "q": "Let w(g) = -27*g + 1. Let o be 9/6*((-56)/12 - -4). Let b be w(o). What is the highest common factor of b and 364?", "a": "28" }, { "q": "Suppose 0 = -110*c + 126*c + 320. Suppose 41 + 13 = -5*k - 2*y, 3*k = -y - 33. Let m be -15*(k/10)/((-6)/c). Calculate the highest common divisor of 20 and m.", "a": "20" }, { "q": "Let v = 2115 + -1475. Calculate the greatest common divisor of v and 896.", "a": "128" }, { "q": "Let v(i) = 5*i**2 + 2*i - 2. Let w be v(1). Calculate the greatest common divisor of w and 35.", "a": "5" }, { "q": "Let k be ((-7)/(-2) - 2)*(-2914)/(-141). Calculate the highest common divisor of k and 17.", "a": "1" }, { "q": "Let n(m) be the third derivative of -m**5/60 - 17*m**4/12 - 7*m**3/2 + 2*m**2 - 6*m. Let r be n(-30). What is the highest common factor of r and 9?", "a": "9" }, { "q": "Suppose -5*m - 5*q = -19100, 2*m + 13*q = 15*q + 7628. Calculate the highest common factor of m and 11.", "a": "11" }, { "q": "Let r = -168 + 176. Let h be 11 + (1/(-1))/((-2)/r). Calculate the highest common factor of h and 45.", "a": "15" }, { "q": "Let b(l) = 4*l**3 - 58*l**2 - 31*l + 16. Let y be b(15). Suppose -4*t - t = -145. What is the highest common factor of t and y?", "a": "1" }, { "q": "Suppose 25*a = 9648 + 95752. Calculate the highest common factor of a and 272.", "a": "136" }, { "q": "Let r(u) = u**3 - 9*u**2 - 24*u - 12. Let m be (13/((-546)/72))/((-4)/28). Let t be r(m). Calculate the highest common factor of 24 and t.", "a": "12" }, { "q": "Suppose -49*g = 22*g - 1775. Calculate the greatest common factor of g and 170.", "a": "5" }, { "q": "Suppose 4*b = 24 - 36, 3*b + 2202 = 3*o. What is the highest common factor of o and 301?", "a": "43" }, { "q": "Let k be 1/3*9 - (-151 - -1). Suppose -3*y = -c - 51, -3*c - 5*y = c + k. Let a = -21 - c. What is the greatest common divisor of a and 63?", "a": "21" }, { "q": "Suppose -y + 29 = -3*n, 2*y - 61 = -0*y + 3*n. Suppose 0*r - r + 20 = -4*j, -5*j = 15. What is the highest common divisor of y and r?", "a": "8" }, { "q": "Suppose 17 + 47 = 4*y. Let j be 9/(-24) - (-70)/y. Suppose -5*d - n = -j*n - 219, 5*d + 5*n = 195. What is the greatest common divisor of d and 14?", "a": "14" }, { "q": "Let i be 18/10 + -3*4/(-60). Suppose -i*z + 28 = 12*z. Calculate the highest common divisor of 46 and z.", "a": "2" }, { "q": "Let z(w) = -w**3 + 4*w**2 + 4. Let g be z(4). Let h = 10 - g. Suppose -2*r - 4 = -3*c, -5*r = -2*c - 0 - 1. What is the greatest common factor of h and c?", "a": "2" }, { "q": "Suppose -v - 598 = -5*i, -362 = -3*i + 6*v - 7*v. What is the highest common factor of i and 190?", "a": "10" }, { "q": "Suppose 3*c - 39 = -2*v - 2*v, -2*c = 2*v - 24. Let t be c*3*8/18. What is the greatest common factor of 348 and t?", "a": "12" }, { "q": "Let y = -471 + 369. Let i(j) = 21*j + 3. Let z be i(-2). Let w = z - y. Calculate the highest common factor of w and 21.", "a": "21" }, { "q": "Let n = -23 + 25. Let x be n/(-3) + (-104)/(-12). What is the highest common divisor of x and 248?", "a": "8" }, { "q": "Suppose 0*l + 2*l + s + 123 = 0, 5*l + 5*s + 320 = 0. Let t = l - -107. Let k be -1*(28 - -4)/(-1). What is the greatest common divisor of k and t?", "a": "16" }, { "q": "Let p = 45 + -27. Suppose -3*f + 0 = -2*g + 6, -12 = -4*g + 3*f. Suppose -2*w = -2*v + w + 1, 5 = v + g*w. What is the greatest common factor of p and v?", "a": "2" }, { "q": "Let l = 1880 - 1860. Calculate the greatest common divisor of 16 and l.", "a": "4" }, { "q": "Suppose -270*n + 275*n = 150. What is the greatest common divisor of 438 and n?", "a": "6" }, { "q": "Let s(c) = -25*c**3 + 2*c**2 + 7*c + 28. Let r be s(-3). What is the highest common factor of 168 and r?", "a": "28" }, { "q": "Suppose -3*g - 6*d = -d - 110, -130 = -3*g - d. Let l = 6351 + -6342. What is the greatest common factor of l and g?", "a": "9" }, { "q": "Suppose 0 = 5*t + 2*v - 54, -2*t + 118*v + 10 = 113*v. What is the greatest common factor of 1780 and t?", "a": "10" }, { "q": "Let p(z) = 21*z - 28. Let c be p(2). Let j(u) = 2*u + 168. Let y be j(0). Calculate the greatest common factor of y and c.", "a": "14" }, { "q": "Let f be 35/(-11 - -18) - -15. Calculate the highest common factor of f and 355.", "a": "5" }, { "q": "Let s(j) = 3*j**3 - 4*j**2 - j + 4. Let n be s(4). Suppose 11*m = 133 + 43. Calculate the highest common factor of n and m.", "a": "16" }, { "q": "Let w(a) be the first derivative of 5*a**3/3 + 7*a**2 + 12*a - 66. Let o be w(-6). What is the highest common divisor of o and 72?", "a": "36" }, { "q": "Let s = 1 + 9. Suppose -s*u = -12*u + 78. Let r = -287 - -560. What is the highest common divisor of r and u?", "a": "39" }, { "q": "Suppose -14*w - 14459 + 753 = -91*w. What is the greatest common divisor of w and 2848?", "a": "178" }, { "q": "Suppose -8 = -2*z, -3*g - 4*z = z + 931. Let n = g - -332. Let d be 134 + 2/2 + 0. What is the greatest common factor of n and d?", "a": "15" }, { "q": "Let s(d) = 29*d - 2. Let b(y) = -10*y + 1. Let z(g) = 8*b(g) + 3*s(g). Let q be z(-5). Let n = -3 - q. Calculate the greatest common divisor of n and 270.", "a": "30" }, { "q": "Suppose -5*l + 10*l - 2450 = 0. Suppose 2*g - l = -12*g. Calculate the highest common factor of g and 280.", "a": "35" }, { "q": "Suppose 16*u = 67*u - 284121. What is the highest common factor of u and 9?", "a": "9" }, { "q": "Let d be ((-12)/(-18))/((-2)/(-22)*3/9). Calculate the greatest common divisor of d and 1034.", "a": "22" }, { "q": "Let o be 236/16 - 1/(-4). Suppose -10 = -3*i - 1. Suppose 0 = c - i*c + 120. What is the highest common factor of o and c?", "a": "15" }, { "q": "Suppose 23*c - 700 = -47*c. Calculate the highest common divisor of c and 155.", "a": "5" }, { "q": "Let o be 3/((-21)/(-136)) - (-12)/21. Let y be 327/9 - (o/(-15))/(-4). What is the highest common divisor of y and 252?", "a": "36" }, { "q": "Suppose 0 = -3*h + 3*x + 15, -4*h - 4*x = -9 - 3. Suppose -g - 4 = 0, 5*v + h*g - 37 = 122. Calculate the greatest common factor of v and 21.", "a": "7" }, { "q": "Let q = 84 - 12. Let b be 1/((-2 - -3)/(12/4)). Suppose -30 = -b*z - i, z - 2*i = 2*z - 15. What is the greatest common divisor of q and z?", "a": "9" }, { "q": "Let o(y) = 25*y**2 - 4*y + 3. Suppose 2*s + 3*w - 19 = 0, 2*s + 4*w + 0*w = 24. Let l be o(s). Let i = l - 39. Calculate the highest common divisor of i and 7.", "a": "7" }, { "q": "Suppose 7*w - 277 - 178 = 0. Let k = w + -24. Calculate the highest common divisor of k and 82.", "a": "41" }, { "q": "Suppose -28*w + 59 = x - 30*w, 0 = 4*x - w - 208. What is the highest common divisor of x and 6069?", "a": "51" }, { "q": "Let j be (24/(-14))/(-6) + (-84)/(-49). What is the greatest common divisor of j and 101?", "a": "1" }, { "q": "Let w be 3 + (5 - -296) + (-19 - -12). Calculate the greatest common factor of w and 22.", "a": "11" }, { "q": "Suppose -23 = 10*g - 43. Suppose -4*s - 36 = -g*i, 2*s - 19 = 3*i - 57. Let m be (-2 + -26)*(-5)/2. What is the highest common divisor of i and m?", "a": "10" }, { "q": "Suppose -22 = 32*u - 150. Suppose 449 = u*c - 171. Let x be 32 - 0/2 - 1. What is the greatest common factor of x and c?", "a": "31" }, { "q": "Let y = 4462 - 857. What is the highest common divisor of 35 and y?", "a": "35" }, { "q": "Suppose -25920 - 4320 = -70*f. What is the highest common factor of f and 384?", "a": "48" }, { "q": "Let d be ((-448)/24 - -22)*(-5)/(25/(-1062)). Calculate the highest common factor of 24 and d.", "a": "12" }, { "q": "Suppose 63*x - 68*x = -4*a + 67, -8 = a + x. Let q be 1/1 - (-1 + -19). What is the greatest common factor of a and q?", "a": "3" }, { "q": "Suppose 0 = -134*a + 132*a - 2*m + 34, 2*a + 3*m = 38. Let u be (-1 - -1 - -2) + 179. Suppose x - u = -38. What is the highest common divisor of a and x?", "a": "13" }, { "q": "Suppose f = -0*f + 5*t + 14, -5*t + 6 = 4*f. Suppose -2*l - 6 = f. Let x(a) = 3*a**2 - 6*a - 10. Let z be x(l). Calculate the highest common factor of 19 and z.", "a": "19" }, { "q": "Suppose 4*l - 46 = -k, 4*k - 224 = -l + 5*l. Let d(i) = -4*i + 70. Let m be d(13). What is the greatest common divisor of m and k?", "a": "18" }, { "q": "Let a be 531 - 3*3*6/(-27). Let h be (a/(-52))/((-2)/40). Suppose 5*d - h - 120 = 0. What is the greatest common factor of 26 and d?", "a": "13" }, { "q": "Let i be (-75)/(-50)*28/6. Suppose 2*l = -5*g + 98, 10*g - 12*g = 0. What is the highest common factor of l and i?", "a": "7" }, { "q": "Let o(z) = 8*z + 170. Let t be o(23). Let d = t - 317. Let x(l) = -2*l**3 - 2*l**2 + 5*l + 3. Let v be x(-6). Calculate the highest common factor of d and v.", "a": "37" }, { "q": "Suppose -n - 4*n + 325 = 0. Suppose -17 = 4*w - n. Suppose 3*u - 5*y - 22 = 58, 0 = u - y - 28. Calculate the highest common factor of w and u.", "a": "6" }, { "q": "Suppose 12 = 4*a - 20. Let m be ((-16)/(-10))/(a/60). Calculate the highest common factor of 204 and m.", "a": "12" }, { "q": "Suppose 4*i + 0 = 5*z + 11, -5 = -5*z. Let c be (-42)/(1 - (-1 + i)). Calculate the greatest common factor of c and 168.", "a": "21" }, { "q": "Let n = 1390 - 1376. Suppose l = k + 62, 4*k - 3*k = -4*l + 253. Calculate the greatest common factor of n and l.", "a": "7" }, { "q": "Let s be ((-2)/(-6))/((-9)/27). Let y be (-1 - s) + -3 + 52. What is the greatest common divisor of 343 and y?", "a": "49" }, { "q": "Let c = 3899 + -3739. Calculate the greatest common divisor of 72 and c.", "a": "8" }, { "q": "Suppose -3*h - 349 = -2*v, -2*v - 713 = -6*v + 3*h. Suppose 4*d - 12 = 0, 0 = -0*w + w - 3*d - 17. Calculate the greatest common factor of w and v.", "a": "26" }, { "q": "Suppose 0*c + 5799 = 13*c - 1104. What is the greatest common factor of c and 45?", "a": "9" }, { "q": "Suppose -23 - 67 = -10*k. Let w be 0/(-1 + 0) + 39. Let p = -3 + w. What is the highest common divisor of p and k?", "a": "9" }, { "q": "Let a(k) = -2*k**3 - 13*k**2 + 6*k - 4. Let o be a(-7). Suppose -3*s - 48 - 22 = -5*g, o*g - 28 = -s. Calculate the greatest common factor of g and 44.", "a": "11" }, { "q": "Suppose -15*q + 32*q = 6*q + 12749. What is the highest common divisor of q and 19?", "a": "19" }, { "q": "Suppose 9*q + 362 = u + 4*q, -3*q = -2*u + 759. What is the greatest common factor of u and 129?", "a": "129" }, { "q": "Let n = 145 + -133. Suppose -2*j - 2*j - 5*w = -33, 2*j + 4*w - n = 0. Calculate the greatest common divisor of 228 and j.", "a": "12" }, { "q": "Let x(h) = 6 + 23 - 2 - h. Let v be x(0). Let k be (-3)/(3*(6 + -11)/405). Calculate the highest common divisor of k and v.", "a": "27" }, { "q": "Suppose 9*r = 4*r + 25. Let o(v) be the second derivative of -v**3/6 + 10*v**2 - 18*v. Let c be o(0). Calculate the greatest common divisor of c and r.", "a": "5" }, { "q": "Suppose 2*k + 3 - 1 = -5*t, t - 4*k = 4. Suppose z - 3*v - 22 = -t*z, -28 = -2*z + 2*v. What is the greatest common factor of z and 10?", "a": "10" }, { "q": "Let f be (0 + 3 + -6)*592/(-48). Calculate the greatest common factor of f and 7.", "a": "1" }, { "q": "Suppose 0*z = -5*z + 1695. Suppose 3*x + z = 5*c, 0*x - 57 = -c - 3*x. What is the highest common divisor of c and 176?", "a": "22" }, { "q": "Let f(h) be the second derivative of 17/2*h**2 + 0 - 1/3*h**3 + 9*h. Let y be f(0). Calculate the highest common divisor of y and 17.", "a": "17" }, { "q": "Suppose 6*x = 12*x - 12. Suppose 9*q + 88 = 286. Calculate the highest common divisor of q and x.", "a": "2" }, { "q": "Let y(z) = z**3 - z**2 - 172. Let p be y(0). Let w = 92 + p. Let a = -55 - w. Calculate the greatest common factor of a and 175.", "a": "25" }, { "q": "Suppose -9 + 29 = 5*x. Suppose -x*h + 6*h - 116 = 0. Let v be h + (-8)/36 + 16/(-9). What is the highest common divisor of v and 84?", "a": "28" }, { "q": "Suppose 0*c - c = 2. Let s be (-10)/(-25) - c/(-5). Suppose j - 279 = -s*j. What is the highest common divisor of 31 and j?", "a": "31" }, { "q": "Let p be (-13)/(2 - 15/7). Let n be (-2)/(-2)*(-570)/(6/(-2)). Let g = n - 177. Calculate the highest common divisor of p and g.", "a": "13" }, { "q": "Suppose 6*j = -5*j + 66. Suppose j = 2*a - 0. Let s = 0 + 3. Calculate the greatest common divisor of a and s.", "a": "3" }, { "q": "Let o(n) = 2*n**2 - 22*n + 3. Let p be o(11). Suppose -p*d + 780 = 3*d. What is the highest common factor of d and 52?", "a": "26" }, { "q": "Let x(t) = 64*t**2 + 1. Let o be x(1). Let m be 2 - (8 - (4 + 0)) - 2. Let r be (-936)/(-56) + -4 + m/(-14). Calculate the greatest common factor of o and r.", "a": "13" }, { "q": "Suppose 0 = 2*k - 193*c + 198*c - 38, -2*k + 2*c = -38. Calculate the highest common divisor of 16 and k.", "a": "1" }, { "q": "Suppose 2 = -2*j + 6. Let r(g) = -g**3 + 147*g**2 - 715*g + 712. Let p be r(142). What is the highest common factor of p and j?", "a": "2" }, { "q": "Suppose -11*m + 10*m + 2*x + 115 = 0, -2*m + 5*x = -228. Calculate the greatest common divisor of 17 and m.", "a": "17" }, { "q": "Let g(m) = -m**3 - 14*m**2 + 11*m + 4. Let r be g(-15). Let o be (r/(-10))/((-12)/270). What is the highest common factor of 8 and o?", "a": "8" }, { "q": "Let o(z) = -15*z + 7. Let x(u) = -14*u + 6. Let q be 40/25*10/(-4). Let p(h) = q*o(h) + 3*x(h). Let y be p(5). What is the greatest common factor of 200 and y?", "a": "40" }, { "q": "Suppose 4*l + 5*z + 15 = 72, 0 = z - 5. Calculate the highest common factor of 74 and l.", "a": "2" }, { "q": "Suppose -5*c + 220 - 162 = -282. What is the highest common factor of 4964 and c?", "a": "68" }, { "q": "Let a be 7/(12/(-9) + (-202)/(-156)). Let w = a - -242. Let y = -50 - -90. Calculate the greatest common factor of w and y.", "a": "20" }, { "q": "Suppose 0 = 2*t - 3*v - 5292 - 1268, -3*t + 2*v = -9845. Calculate the greatest common divisor of 49 and t.", "a": "49" }, { "q": "Suppose 5*p = -n + 4*p + 125, -253 = -2*n - 3*p. Calculate the greatest common divisor of 1769 and n.", "a": "61" }, { "q": "Let q be (68/12)/(152/48 + -3). Suppose 3*y - 331 = -4*d, 4*d - 3*d + 5*y = 70. What is the greatest common factor of d and q?", "a": "17" }, { "q": "Let k = -58 + 60. Suppose -2*i - 293 = -3*h + k*i, h - 66 = -5*i. Calculate the highest common divisor of 13 and h.", "a": "13" }, { "q": "Suppose -6*u + 101 + 205 = 0. Let a be u*(6 - (8 - 3)). Calculate the highest common factor of 51 and a.", "a": "51" }, { "q": "Let n = -101 + 221. What is the greatest common divisor of 3240 and n?", "a": "120" }, { "q": "Let s(o) = -24*o - 162. Let d be s(-12). Calculate the highest common factor of 90 and d.", "a": "18" }, { "q": "Suppose 6240 = 12*c + 780. Suppose -2*q - 5*a + c = 0, -1185 = -5*q - 9*a + 6*a. What is the highest common divisor of q and 48?", "a": "48" }, { "q": "Let d be 6 + (3 - 0) + -2. Suppose -i + 6 = -5*u, 2*u - 5 = d*u. Suppose 0 = 15*k - 219*k + 1632. Calculate the highest common factor of i and k.", "a": "1" }, { "q": "Suppose -250 = -5*b - 5*g, 4*b - 4*g = 86 + 74. Let j(i) = -i**3 + 6*i**2 + 2*i + 1. Let n be j(5). What is the greatest common divisor of n and b?", "a": "9" }, { "q": "Suppose 0 = -y + 3*y + 6. Let m(z) = z**3 - 5*z**2 + 19*z - 90. Let u be m(5). Let j be u/(-15) - 133/y. Calculate the greatest common factor of 66 and j.", "a": "22" }, { "q": "Suppose -2*f - 5*x = -1218, x = 3*f - 517 - 1327. Suppose -2*g + 0*g - f = 0. Let w = -147 - g. Calculate the greatest common divisor of w and 20.", "a": "20" }, { "q": "Suppose -5*f + 50 - 49 = -4*m, 3*m - 4 = -f. What is the highest common factor of 275 and f?", "a": "1" }, { "q": "Suppose -6*n = -8*n + 20. Let b(h) = 6*h - 15. Let t be b(n). Let i be -4 + (-34)/((-3)/3). Calculate the greatest common factor of t and i.", "a": "15" }, { "q": "Let m = 78 + -26. Let s(i) = 24*i**2 + 2. Let v(a) = 47*a**2 + 5. Let f(u) = 5*s(u) - 2*v(u). Let z be f(-1). Calculate the greatest common divisor of m and z.", "a": "26" }, { "q": "Suppose -33*z = -36*z - 156. Let y be 8/z + (-5110)/(-91). Suppose b + 28 = 5*b. Calculate the greatest common divisor of y and b.", "a": "7" }, { "q": "Suppose -2*y = -7*y - 2*m + 923, 2*y - 372 = 2*m. Let i = y - 132. Calculate the highest common factor of 159 and i.", "a": "53" }, { "q": "Let x be 3 - (-66 - (-1 + 2)). Suppose 0*a + x = 2*a. Let y = -561 - -806. What is the greatest common factor of y and a?", "a": "35" }, { "q": "Let l(d) = -4*d**3 - 72*d**2 - 9*d - 1. Let v be l(-18). Calculate the highest common divisor of v and 345.", "a": "23" }, { "q": "Suppose 0 = -w - 4*v + 44, 77*w - 32 = 76*w + 2*v. Calculate the greatest common factor of 384 and w.", "a": "12" }, { "q": "Let p be 2/6 + 77469/441. What is the highest common divisor of 144 and p?", "a": "16" }, { "q": "Suppose -385 = 8*n - 537. Suppose -5*y + 950 = -2*z, 0 = 3*y - 2*y + 3*z - 190. Calculate the highest common divisor of y and n.", "a": "19" }, { "q": "Suppose 5*v - 11*k - 1154 = -9*k, 3*v - 3*k - 696 = 0. Suppose -4*c = c - 50. Calculate the greatest common divisor of c and v.", "a": "10" }, { "q": "Let b be (790/(-1))/(188/(-282)). What is the greatest common factor of 15 and b?", "a": "15" }, { "q": "Let q(t) = -t**3 + 26*t**2 - 2*t + 56. Let c be q(26). Suppose -c*g = -57 + 53. Let d(b) = 2*b - 3. Let j be d(2). What is the highest common factor of j and g?", "a": "1" }, { "q": "Let u = -164 - -99. Let k = -26 - u. What is the greatest common factor of k and 143?", "a": "13" }, { "q": "Suppose 2*f - 123 - 105 = -v, -3*f - 3*v = -339. Let p = f - 114. Calculate the highest common factor of 4 and p.", "a": "1" }, { "q": "Suppose -7*j - 730 = -2*k - 9*j, -5*k = -4*j - 1816. Calculate the greatest common factor of k and 126.", "a": "14" }, { "q": "Let v = -2673 + 3548. Calculate the highest common factor of v and 140.", "a": "35" }, { "q": "Let x = -3363 + 3372. What is the greatest common divisor of 89 and x?", "a": "1" }, { "q": "Suppose 4*u - 28 = -0*r - 2*r, -22 = -2*u - 5*r. Let l be ((-198)/27)/(16/(-6) + 2). Suppose -19 - l = -c. Calculate the highest common factor of c and u.", "a": "6" }, { "q": "Let i(n) = 2*n - 6 - 10 + 10 + 4 + 5*n**2. Let l be i(2). Let s(g) = 11*g**2 - 7*g - 6. Let f be s(-4). Calculate the highest common factor of l and f.", "a": "22" }, { "q": "Let b be ((-6)/4)/(3/(-580)). Calculate the highest common divisor of b and 10.", "a": "10" }, { "q": "Let i be (-149 - -1)/((-4)/(-4)). Let d = i + 161. What is the greatest common divisor of 325 and d?", "a": "13" }, { "q": "Suppose 2477*p - 2476*p - 8 = 0. Suppose 0 = -4*x + 2*h - 6, 5*x - 10 + 0 = -h. What is the greatest common factor of p and x?", "a": "1" }, { "q": "Suppose 0 = 5*u + 4*u - 252. Suppose 0 = 19*k - 17*k - 196. What is the highest common divisor of u and k?", "a": "14" }, { "q": "Suppose 5*x = -3*g + 29, 2*x - 50 = -5*g + 30. Let r be (-594)/4*(-8)/6. Calculate the greatest common factor of r and g.", "a": "18" }, { "q": "Let c(h) = 16 - 15*h**2 - 9 + 5*h**2 + 6 - 2*h**3 - h. Let n be c(-7). What is the highest common factor of 54 and n?", "a": "54" }, { "q": "Let t be 1957/38 + (-45)/18. What is the highest common divisor of 658 and t?", "a": "7" }, { "q": "Let r = -173 + 341. Suppose 3*w = 2*t + t + r, 0 = -5*w + 2*t + 265. Suppose 5*h - w = 29. Calculate the greatest common factor of h and 32.", "a": "16" }, { "q": "Suppose 33 = 5*b + 18. Let w be -2*(-4)/8*(b + -1). Let s be (-621)/(-6) + ((-1)/w - -1). What is the greatest common factor of 13 and s?", "a": "13" }, { "q": "Let x(y) = 2*y**3 + 2*y**2 - 4*y + 3. Let r be x(1). Suppose 0 = 3*s, 2*d + r*s - 17 = 3. Calculate the highest common factor of 30 and d.", "a": "10" }, { "q": "Suppose 2*o - 4*l - 32 = 0, -8*l = -14*o - 10*l + 74. What is the highest common factor of o and 33?", "a": "3" }, { "q": "Let i be 1196/5 + (12/(-10) - 448/(-224)). Suppose -2*c + 0*c + 30 = 0. What is the highest common factor of i and c?", "a": "15" }, { "q": "Suppose 23*y - 27*y - 2050 = -5*a, -3*y + 1609 = 4*a. What is the highest common factor of a and 42?", "a": "14" }, { "q": "Suppose 2*d = -89 + 105. Let x be 897/33 + d/(-44). Calculate the greatest common divisor of x and 6.", "a": "3" }, { "q": "Let p = 53 - 49. Let i be (p/(-8))/(-2 + 19/10). Suppose -9 = -i*b - 2*t, -4 = -2*b + t + 5. What is the highest common divisor of 3 and b?", "a": "3" }, { "q": "Let y be 1 - (1482/1)/((-42)/140). Calculate the highest common factor of y and 81.", "a": "81" }, { "q": "Let m be (348/20 - -5) + 9/15. Let f(p) = p**3 + 2*p**2 - 9*p + 3. Let s be f(6). Let o = -168 + s. What is the highest common factor of o and m?", "a": "23" }, { "q": "Let h(q) = q + 5. Let s be h(0). Suppose p = s*o - 72, -3*o + 6*o = 4*p + 50. What is the highest common factor of o and 196?", "a": "14" }, { "q": "Suppose -o + 2*o = 16. Let f be -3*(-14 - -2) - (-1 + -2). Suppose -u = 3*q - f, 0*u - q - 19 = -u. What is the greatest common divisor of u and o?", "a": "8" }, { "q": "Let o(d) = d**2 - 25*d + 150. Let m be o(23). Calculate the greatest common factor of 806 and m.", "a": "26" }, { "q": "Let s(i) be the second derivative of i**5/20 - 7*i**4/6 + 7*i**3/3 - 23*i. Let k be s(13). Calculate the highest common divisor of k and 338.", "a": "13" }, { "q": "Let v(m) = -3*m**2 - 10*m - 10. Let i be v(-6). Let c = -4 - i. Let k be (c/15)/((-4)/(-30)). Calculate the highest common factor of 54 and k.", "a": "27" }, { "q": "Let w be (624/9)/(2/(-8) + (-51)/(-108)). What is the highest common factor of 273 and w?", "a": "39" }, { "q": "Let p(u) = u + 2*u + u**2 + u**2 + 2 + 10*u. Let n be p(-10). Suppose -10*c + 9*c = -n. What is the greatest common divisor of c and 8?", "a": "8" }, { "q": "Suppose 92 = 4*k + 4*a, 4*k - 3*a = -a + 74. Suppose i - 39 = -3*c, -4*i + 4*c - 92 = -6*i. What is the highest common divisor of i and k?", "a": "20" }, { "q": "Suppose j - 288 = -7*j. Let h be 33/j*-2 - 1/6. Let b be 33*(h + (1 - (-4)/3)). What is the greatest common factor of b and 121?", "a": "11" }, { "q": "Suppose -19*z - 18 = -37*z. Let j be 39/3*(2 + 0 - z). What is the highest common divisor of j and 13?", "a": "13" }, { "q": "Suppose -4*h = 5*g - 7283, -21*g = -24*g - 15. What is the greatest common divisor of h and 126?", "a": "63" }, { "q": "Let u be (6/(-4))/(4*(-18)/16224). Suppose -6*r - 7*r = -u. What is the greatest common divisor of 130 and r?", "a": "26" }, { "q": "Let k(p) = 12*p**2 + 35*p + 10. Let y(q) = 5*q**2 + 17*q + 5. Let u(f) = 4*k(f) - 9*y(f). Let i be u(7). What is the highest common factor of 34 and i?", "a": "17" }, { "q": "Suppose 23*s - 27*s = -16. Suppose -s*g = -4*d - 76, 2 = 2*g + 5*d - 1. Let u = g - 0. What is the highest common factor of u and 70?", "a": "14" }, { "q": "Let q = -981 - -1449. What is the highest common divisor of q and 72?", "a": "36" }, { "q": "Suppose -3033 = -21*h - 66 - 426. What is the greatest common divisor of 44 and h?", "a": "11" }, { "q": "Suppose 19*p = 526 - 7423. Let q be (p/12)/(-11)*(-1 + 9). What is the highest common divisor of q and 242?", "a": "22" }, { "q": "Suppose -33*c + 54*c - 16695 = 0. What is the greatest common factor of 75 and c?", "a": "15" }, { "q": "Let g(r) = -8*r**3 - 7*r**2 - 22*r - 7. Let m be g(-4). Calculate the greatest common factor of m and 26.", "a": "13" }, { "q": "Let k be 10/8*(-5 - -1). Let g be 22/8*(-1 - (-15)/k). Let m be g/44 - (-1 - 42/8). What is the greatest common divisor of m and 2?", "a": "2" }, { "q": "Let x = 2423 + -974. Calculate the highest common divisor of 69 and x.", "a": "69" }, { "q": "Suppose -3*b = 5*w + 697, -5*b + 6*b + 225 = 2*w. Let d = b - -295. Calculate the highest common factor of 12 and d.", "a": "6" }, { "q": "Suppose 13 = -3*h + 4*h. Suppose 2*o - 252 = 3*p, -9*p + 4*p = 4*o - 526. Let l = o + -116. Calculate the greatest common factor of h and l.", "a": "13" }, { "q": "Let u = 13 + -2. Let g be (30/4)/((-45)/(-330)). What is the highest common divisor of g and u?", "a": "11" }, { "q": "Let z = -3764 + 3880. Calculate the greatest common factor of z and 20.", "a": "4" }, { "q": "Let k(h) = 3*h**2 - 63*h - 458. Let s be k(-6). Let l(b) = 13*b**3 - b**2 - 2*b + 2. Let f be l(2). What is the greatest common divisor of s and f?", "a": "14" }, { "q": "Suppose -8287 - 13309 = -126*f - 5342. Calculate the greatest common factor of f and 387.", "a": "129" }, { "q": "Let t = 2903 + -2803. Calculate the highest common factor of 2 and t.", "a": "2" }, { "q": "Let s(l) = 8*l**2 + 4*l - 4. Let v(j) = -9*j**2 - 5*j + 5. Let t(b) = 5*s(b) + 4*v(b). Let r be t(2). What is the highest common factor of r and 4?", "a": "4" }, { "q": "Suppose -11*y - 18 + 40 = 0. Suppose -y*z + 4*z = 38. What is the highest common factor of 133 and z?", "a": "19" }, { "q": "Let y(q) = 12*q**2 - 60*q + 327. Let b be y(7). What is the highest common divisor of 121 and b?", "a": "11" }, { "q": "Let f(z) = -3*z**2 - 31*z - 30. Let o be f(-9). Let t be (0 + 1 - o)*(-1760)/400. Calculate the greatest common divisor of t and 33.", "a": "11" }, { "q": "Let p(a) be the third derivative of -a**5/30 + 3*a**4/4 - 4*a**3/3 + 4*a**2. Let g be p(4). What is the greatest common factor of 256 and g?", "a": "32" }, { "q": "Suppose -17 = l - 4*g, -4*l - 20 = -4*g - 12. Calculate the highest common factor of 696 and l.", "a": "3" }, { "q": "Let h = -3022 + 3035. What is the highest common divisor of h and 4?", "a": "1" }, { "q": "Let h = -172 - -89. Let u = 188 + h. Calculate the greatest common divisor of 21 and u.", "a": "21" }, { "q": "Let c = -20 + 20. Suppose -a - 4*a - 180 = c. Let t be (1/(-4))/1 - 117/a. What is the highest common divisor of t and 24?", "a": "3" }, { "q": "Let k(h) = -8*h - 4. Let n be k(-4). Suppose -n*t = -24*t - 540. What is the greatest common factor of t and 45?", "a": "45" }, { "q": "Let t = -1149 + 1290. What is the highest common divisor of 893 and t?", "a": "47" }, { "q": "Suppose -8*f - 2038 + 2206 = 0. Let a(v) = v**2 + 2*v + 2. Let w be a(-3). Let l = 9 + w. Calculate the highest common divisor of f and l.", "a": "7" }, { "q": "Suppose 29*o - 116 = -0*o. Suppose -o = -2*v, 2*c - 4*c + v + 4 = 0. Suppose -15 = -7*y + 2*y. Calculate the highest common factor of c and y.", "a": "3" }, { "q": "Suppose -3*j - 1395 = -5*s, s = -j + 361 - 74. Suppose -1802 + s = -5*b. Suppose b = 3*l + l. What is the greatest common factor of 19 and l?", "a": "19" }, { "q": "Suppose 4*u - 7231 = 82*g - 85*g, -5*g = -u - 12067. Calculate the highest common factor of g and 254.", "a": "127" }, { "q": "Let k be (-3)/(-24) + 10/(-80)*-159 + 7. Let o = 53 + -26. What is the greatest common factor of k and o?", "a": "27" }, { "q": "Let a(b) = 3*b + 66. Let g be a(-20). Let r = 18 - g. Let w(c) = -62*c - 2. Let y be w(-1). Calculate the greatest common factor of r and y.", "a": "12" }, { "q": "Suppose -3*d + 145 = 25. Let j = d - 38. Suppose j = 15*l - 14*l. What is the highest common divisor of l and 6?", "a": "2" }, { "q": "Suppose -2 + 10 = 4*k. Let w be k/(-20) - 5208/(-80). What is the highest common factor of w and 26?", "a": "13" }, { "q": "Suppose 9*t - 168 - 129 = 0. Calculate the greatest common factor of 4587 and t.", "a": "33" }, { "q": "Let o(g) = -3*g**3. Let d be o(2). Let l be (-3 + -4)/(8/(-56)). Let q = d + l. What is the highest common factor of q and 5?", "a": "5" }, { "q": "Let u = 755 - 704. Calculate the highest common factor of u and 935.", "a": "17" }, { "q": "Let t(w) = 3*w**2 + 54*w + 109. Let x be t(-16). Calculate the greatest common divisor of 8905 and x.", "a": "13" }, { "q": "Let v = 361 + -354. What is the greatest common divisor of v and 721?", "a": "7" }, { "q": "Let n = 157 + -155. Suppose q - 5*t = n, q - 16*t - 2 = -12*t. What is the greatest common factor of q and 4?", "a": "2" }, { "q": "Suppose 28 = a + 6*a. Suppose 0 = -6*f + a*f + 48. What is the highest common divisor of f and 1?", "a": "1" }, { "q": "Let x = -3224 - -4027. Calculate the highest common factor of x and 511.", "a": "73" }, { "q": "Suppose -7*i = -i + 360. Let j be 2/12 + (-470)/i. Suppose -3*w + j = 5. Calculate the greatest common divisor of 8 and w.", "a": "1" }, { "q": "Let x be (-13 - (5 - -864))*(0 + -2). What is the highest common factor of 8 and x?", "a": "4" }, { "q": "Let w(g) = g**2 + 6*g + 9. Let d be w(-6). Suppose -133 = -191*a + 991 + 22. What is the greatest common divisor of a and d?", "a": "3" }, { "q": "Let h be 50/12 - 4*(-3)/(-72). Suppose 4*i = -h*i + 952. What is the highest common factor of 7 and i?", "a": "7" }, { "q": "Let v = 188 - 185. Suppose -3*r = -2*p - 172, -4*r + 2*p + 211 = v*p. Calculate the greatest common factor of r and 6.", "a": "6" }, { "q": "Suppose 0 = 5*p - 97 - 138. Suppose 568*l - 566*l - 124 = -3*z, 4*l - 228 = -4*z. What is the highest common divisor of l and p?", "a": "47" }, { "q": "Suppose 6210 = 39*y + 2853 - 3468. Calculate the highest common divisor of y and 6475.", "a": "175" }, { "q": "Let n be (-36)/15*(-28 - -18). Suppose -3*d - 144 = -12*d. What is the highest common factor of d and n?", "a": "8" }, { "q": "Let l = -1 - -3. Let b(o) be the second derivative of o**3 - 13*o**2/2 + 2*o. Let s be b(3). Calculate the highest common factor of s and l.", "a": "1" }, { "q": "Let t = 2505 + -2480. Calculate the highest common divisor of t and 2.", "a": "1" }, { "q": "Let a(c) = 374*c - 1058. Let l be a(3). Calculate the greatest common divisor of l and 632.", "a": "8" }, { "q": "Suppose 54*p - 49*p + 730 = 0. Let r = p - -276. Calculate the greatest common divisor of 10 and r.", "a": "10" }, { "q": "Let d = -825 + 1049. What is the highest common factor of d and 7?", "a": "7" }, { "q": "Suppose 96 - 60 + 69 = t. What is the highest common factor of t and 135?", "a": "15" }, { "q": "Let j be -3*6/9 + -1 + 3. Let y be (9 + -4)*(j - (-18)/5). What is the highest common factor of 45 and y?", "a": "9" }, { "q": "Let j be -7 + 0 + -913*(-3 - -2). What is the greatest common factor of j and 6?", "a": "6" }, { "q": "Suppose a + 4*f - 224 = 3*f, -20 = 4*f. Let n = -130 + a. Calculate the greatest common divisor of 44 and n.", "a": "11" }, { "q": "Suppose 14*w - 1394 = 2582. What is the greatest common divisor of w and 1562?", "a": "142" }, { "q": "Let l = 65 - 33. Let h(o) = 188*o + 1380. Let r be h(-7). Calculate the greatest common factor of l and r.", "a": "32" }, { "q": "Let g be -13 - (5 - (1569 - 11)). What is the highest common divisor of g and 560?", "a": "140" }, { "q": "Let q(j) = 3*j**3 - 3*j**2 + 3*j. Let m be q(2). Suppose 0 = -5*v - 269 - 441. Let l = v + 268. Calculate the highest common factor of m and l.", "a": "18" }, { "q": "Let a be (((-396)/80)/((-3)/(-12)))/(51/(-170)). Calculate the greatest common divisor of 1166 and a.", "a": "22" }, { "q": "Suppose 4*j = 8*j - 52. Suppose -17*l + j*l + 180 = 0. What is the highest common factor of l and 5?", "a": "5" }, { "q": "Let g be -18*((-9)/(-12) + (-35)/28). Suppose 0 = g*u - 15*u + 18. Calculate the highest common divisor of 15 and u.", "a": "3" }, { "q": "Let b = 1391 - 1388. What is the greatest common divisor of 75 and b?", "a": "3" }, { "q": "Let n be (-36)/(-10) - (-9)/(-15). Suppose -d = -5 - 1. Let x(w) = 4*w + 3. Let c be x(d). Calculate the highest common divisor of c and n.", "a": "3" }, { "q": "Let j be 13/(-2)*(-120)/390. Suppose 96 = -3*f + 6*f. What is the greatest common divisor of j and f?", "a": "2" }, { "q": "Let i(a) = 13*a + 17. Let o(x) = -5*x - 6. Let y(p) = 3*i(p) + 8*o(p). Let z be y(-2). What is the greatest common divisor of 40 and z?", "a": "5" }, { "q": "Let j = 639 - 431. Let t(u) = -2*u - 58. Let h be t(-37). Calculate the greatest common factor of j and h.", "a": "16" }, { "q": "Suppose -17*z = -7*y + 3*y - 1867, -4*z + 454 = 2*y. Calculate the highest common divisor of 6 and z.", "a": "3" }, { "q": "Let v(r) = 117*r. Let s be v(3). Let l(g) = -132*g + 9795. Let o be l(74). What is the greatest common divisor of o and s?", "a": "27" }, { "q": "Let w be (-3)/(-18)*-2 + 3423/9. Suppose -5*r - 65 = -w. What is the greatest common divisor of r and 21?", "a": "21" }, { "q": "Let a be (-4)/6 - 66/(-18). Suppose -12 = -a*d + 2*w + w, -14 = -4*d + 3*w. Suppose 0*r + d*r - 88 = 0. What is the greatest common divisor of 11 and r?", "a": "11" }, { "q": "Let h(f) = -f**3 + 14*f**2 - 14*f + 16. Let z be h(13). Suppose -3*u - c = 2*u - 53, -5*u = -z*c - 41. Calculate the greatest common divisor of u and 30.", "a": "10" }, { "q": "Let n(j) = 70*j - 734. Let g be n(11). What is the highest common factor of 1668 and g?", "a": "12" }, { "q": "Let n(x) = 30*x**2 - 84*x + 242. Let l be n(3). What is the highest common divisor of 40 and l?", "a": "20" }, { "q": "Suppose 2*c + 706 = k, 29*k - 27*k - 1417 = -c. What is the highest common factor of 180 and k?", "a": "12" }, { "q": "Let x be (-45)/((-94)/(-141) - (-34)/(-24)). Calculate the highest common divisor of 1572 and x.", "a": "12" }, { "q": "Let a(m) = -31*m - 26. Let s be a(-4). Suppose -5*q + s = -102. Let x(w) = w**2 - 5*w - 9. Let i be x(7). Calculate the greatest common factor of i and q.", "a": "5" }, { "q": "Let r = -206 + 306. Suppose r = -69*w + 71*w. Calculate the greatest common divisor of w and 20.", "a": "10" }, { "q": "Let h(z) = -147*z + 1527. Let l be h(10). What is the highest common divisor of l and 1786?", "a": "19" }, { "q": "Let o(c) = 3*c - 28. Let v be o(11). Suppose v*w = -11*w + 816. What is the greatest common factor of 102 and w?", "a": "51" }, { "q": "Let y = -697 + 709. Calculate the greatest common factor of y and 64.", "a": "4" }, { "q": "Let a be 10/(-15) - (-14)/(-6). Let i be a*(-2 - 1 - -2). Let c be (-6)/((-1)/6 - i/6). What is the greatest common factor of 9 and c?", "a": "9" }, { "q": "Let y = 210 + -210. Let o be (-5 + y + 3)*-12. Calculate the highest common factor of 24 and o.", "a": "24" }, { "q": "Let w = 21 - 77. Let t be (-2)/2 - (0 + w)/4. Calculate the highest common factor of 117 and t.", "a": "13" }, { "q": "Suppose -4*q + 2*b = -82, 5*q + 2*b + 27 = 107. Let z be 8/((-4)/12 - -1). Calculate the highest common factor of q and z.", "a": "6" }, { "q": "Let g = -4220 - -4319. What is the greatest common divisor of 1617 and g?", "a": "33" }, { "q": "Suppose 0*l = -4*l - 416. Let t = l + 161. Suppose -3*h + 135 + t = 0. Calculate the greatest common divisor of 16 and h.", "a": "16" }, { "q": "Let v(k) = -k**3 + 2*k**2 + 10*k + 7. Let p be v(4). Let u be -1*(-6)/p + (-276)/(-10). Calculate the greatest common divisor of u and 154.", "a": "14" }, { "q": "Let r = 632 - 902. Let n be (r/(-21))/(24/224). Calculate the highest common factor of n and 24.", "a": "24" }, { "q": "Suppose 856*o = 860*o - 720. Suppose 0*n - 4*n = 32. Let k be n/((-4)/36 + 0). Calculate the greatest common divisor of o and k.", "a": "36" }, { "q": "Let c be 7/(70/3195) - (-5 - 54/(-12)). What is the highest common factor of c and 460?", "a": "20" }, { "q": "Suppose 48910 = 7*r - 11570. What is the greatest common factor of 45 and r?", "a": "45" }, { "q": "Let y(p) = p**2 + 8. Let f be y(-8). Let m = f - -82. What is the highest common divisor of 66 and m?", "a": "22" }, { "q": "Let s(k) = -2*k + 88. Let y be s(36). What is the greatest common divisor of y and 372?", "a": "4" }, { "q": "Suppose 4*d - 11265 = -735 + 5478. Calculate the highest common factor of d and 58.", "a": "58" }, { "q": "Let t be -5*2 + (429 - 296). What is the greatest common divisor of t and 12?", "a": "3" }, { "q": "Let i(h) = 3*h**2 + 86*h + 58. Let v be i(-28). Suppose a + 3 - 5 = 0. What is the highest common factor of v and a?", "a": "2" }, { "q": "Suppose -5*x + 560 = 5*f, -2*x - 234 + 690 = 4*f. Let m be f/(-87) + 122/6. What is the greatest common divisor of m and 19?", "a": "19" }, { "q": "Let y(l) = 5*l - 10. Suppose -3*h + 3*m + 36 = 6, 0 = -h + 3*m + 18. Let q be y(h). Suppose 5*t - q = 3*t. What is the highest common factor of 90 and t?", "a": "10" }, { "q": "Suppose 5*l + 5 = 0, 2*s = l - 3 + 4. Let i be -78 - (s + -1 + 0). Let c be (-44)/i - 146/(-14). Calculate the highest common divisor of c and 22.", "a": "11" }, { "q": "Suppose 0 = -y - 3, 2*x + 15 = 3*x - 4*y. Suppose x*s - 7*s = -2276. Suppose 10*w - s = 421. What is the highest common divisor of 11 and w?", "a": "11" }, { "q": "Let p = -28 + 237. Let q = -22 - -33. Calculate the greatest common divisor of p and q.", "a": "11" }, { "q": "Let s be 237 - (-130)/(-4 - -17). What is the highest common divisor of 13 and s?", "a": "13" }, { "q": "Let o = -4 + 1. Let b = o + 8. Suppose 6*r - 7 - b = 0. Calculate the highest common factor of r and 4.", "a": "2" }, { "q": "Let z = -705 + 1515. Suppose -24*j - z = -27*j. What is the highest common factor of 30 and j?", "a": "30" }, { "q": "Let h be ((-4)/10)/(545/275 + -2). What is the highest common divisor of h and 4268?", "a": "22" }, { "q": "Let p be (-6)/9 - (-8030)/66. What is the highest common factor of p and 1?", "a": "1" }, { "q": "Suppose -210*l + 116*l + 1786 = 0. Let d be 9/(-3)*(-722)/6. What is the greatest common divisor of l and d?", "a": "19" }, { "q": "Suppose -5*m + 35*l - 36*l + 118 = 0, 0 = m - 4*l - 32. What is the highest common factor of 4944 and m?", "a": "24" }, { "q": "Suppose -5*k = 4*o - 634 - 554, -5*k = 3*o - 1191. Suppose 2*v - 2*m - k - 194 = 0, 4*v - 3*m = 871. What is the highest common divisor of v and 22?", "a": "22" }, { "q": "Let n(d) = -d**3 - 7*d**2 - 2*d + 1. Let h be n(-7). Suppose y + 8 = h. Calculate the greatest common divisor of 7 and y.", "a": "7" }, { "q": "Suppose 0 = 19*a - 107 + 31. Suppose -2*l = -5*s - 53, 16 = -4*s - a. Calculate the highest common divisor of l and 133.", "a": "7" }, { "q": "Let u be 1*4 + 20 + (-10 - -6). Let v be 2*-2*(-4 + u/16). Calculate the greatest common divisor of 11 and v.", "a": "11" }, { "q": "Let a = 107 + -107. Let q be 132/(3/1) + (0 - a). What is the highest common factor of q and 22?", "a": "22" }, { "q": "Let t = 3 - 3. Let l(h) be the second derivative of h**3/6 + h**2 + h + 32. Let p be l(t). Calculate the highest common divisor of p and 8.", "a": "2" }, { "q": "Let u(v) = 3*v**3 - 4*v**2 + 4*v - 7. Let y be u(3). Calculate the greatest common factor of y and 270.", "a": "10" }, { "q": "Suppose 27*p - 26*p - s - 742 = 0, 3*p - s - 2226 = 0. What is the highest common factor of p and 42?", "a": "14" }, { "q": "Let u = 2023 + -1979. Let f be 516/2*(-3)/6. Let t be 3/(2 + f/66). What is the greatest common divisor of t and u?", "a": "22" }, { "q": "Suppose -5*f + 37 - 7 = 0. Suppose -26 = f*y - 80. Let d(p) = p**2 - 2*p + 9. Let n be d(-7). Calculate the highest common factor of n and y.", "a": "9" }, { "q": "Suppose 4*u - 170 = -4*a + 110, 0 = 4*a + 5*u - 283. Calculate the highest common factor of 3953 and a.", "a": "67" }, { "q": "Let j be (7 + -1 - 10) + 7. Let v be 3/1 + (4 - 4) + j. Calculate the highest common factor of v and 60.", "a": "6" }, { "q": "Let v = 174 - 172. Suppose 5*a - p - 14 = 0, 0 = a + 2*a + p - v. What is the highest common divisor of a and 2?", "a": "2" }, { "q": "Let o(m) = 3*m**2 + 3*m - 20. Let d be o(-5). Let i = 163 - 123. Calculate the highest common divisor of i and d.", "a": "40" }, { "q": "Suppose 4*i - 3*i = 0. Let f = 6 - i. Let v = -883 - -889. What is the greatest common divisor of v and f?", "a": "6" }, { "q": "Let m be -1*((-2)/2 + -2). Let t be 2 - 3/(-3) - 1 - -1. Suppose t*y = 3*w, 0 = -0*w + 5*w + 3*y - 24. Calculate the highest common divisor of w and m.", "a": "3" }, { "q": "Suppose -43*u + 4292 + 5641 = 0. What is the greatest common factor of u and 357?", "a": "21" }, { "q": "Let i(w) = -w**3 - 30*w**2 - 76*w - 239. Let v be i(-28). What is the highest common divisor of 1 and v?", "a": "1" }, { "q": "Suppose 559 = 4*v - 301. Suppose -n = -5*b - v, 0 = -3*b - 3 - 6. What is the greatest common divisor of n and 8?", "a": "8" }, { "q": "Let z = -4231 + 4241. Calculate the greatest common factor of 250 and z.", "a": "10" }, { "q": "Suppose s + 3*p - 25 = 0, -3*p - 1 + 10 = 0. Let a be -2 + (s/6)/((-2)/(-18)). Let k = a - 16. What is the greatest common factor of k and 9?", "a": "3" }, { "q": "Suppose 5*m = 1167 + 328. Let s = 475 - m. Suppose -2*b - 2*b = -64. Calculate the greatest common factor of b and s.", "a": "16" }, { "q": "Let s = 544 + -437. Suppose 0 = 4*t - 5*v - s, v + v = 3*t - 82. Suppose 5*k - 964 - 296 = 0. What is the greatest common factor of t and k?", "a": "28" }, { "q": "Suppose 50 = -3*w + 4*w. Let h(o) = o**3 + 8*o**2 + 14*o + 33. Let c be h(-6). Suppose 0 = -5*l - c + 71. Calculate the greatest common divisor of w and l.", "a": "10" }, { "q": "Let r be (-6 - 3)/(-3) - -1. Suppose 4*o = 2*j - 100, -r*j + 3*o + o = -208. Let i be (-3)/1 - (-9)/1. What is the highest common factor of i and j?", "a": "6" }, { "q": "Let c be (5 - -3)/(2 - 1). Suppose -29*m + 20*m = -72. Calculate the greatest common divisor of c and m.", "a": "8" }, { "q": "Suppose -5*r + 5*k = 10, 0 = 4*r + 4*k + 29 + 3. Let c = r - -9. Suppose -3*a = 0, -l - 4*a + 21 + 7 = 0. Calculate the highest common divisor of c and l.", "a": "4" }, { "q": "Let f = 412 + -588. Let j = f + 336. What is the highest common factor of j and 96?", "a": "32" }, { "q": "Let k = -30 - -42. Suppose 3*v = -k, -4*q - 2*v + 24 + 52 = 0. Suppose -6440 = -37*b - 18*b - 1820. What is the highest common divisor of q and b?", "a": "21" }, { "q": "Let s be (3/(-2))/(11/(-1210)). Suppose 98 = 2*u - 2*f, -3*f + 6*f - 78 = -2*u. Calculate the greatest common factor of u and s.", "a": "15" }, { "q": "Let f = 648 - 634. Calculate the greatest common factor of f and 924.", "a": "14" }, { "q": "Let w be (45/(-6))/3*(-41 - 25). What is the greatest common divisor of w and 1375?", "a": "55" }, { "q": "Suppose -6*r = -4*r - 98. Suppose 14 = -35*b + 37*b. What is the greatest common factor of r and b?", "a": "7" }, { "q": "Let c(t) = 32*t + 81. Let i be c(8). What is the highest common divisor of 1 and i?", "a": "1" }, { "q": "Suppose 0 = -4*c - 22 - 10. Let y(m) = m**2 + 13*m + 23. Let p be y(-2). Let g be (24*(-44)/c)/p. Calculate the highest common divisor of 12 and g.", "a": "12" }, { "q": "Let y be 0/(-1 - 0) + 2 + 0. Let h be ((-6)/18)/(y/(-18))*18. Suppose -5*t + h = 4. What is the greatest common factor of 50 and t?", "a": "10" }, { "q": "Suppose -207*l + 99*l = -2592. Calculate the greatest common divisor of l and 3000.", "a": "24" }, { "q": "Suppose 592 = i + 561. Calculate the greatest common factor of i and 589.", "a": "31" }, { "q": "Suppose 5*b + 3*o - 760 = 0, 143*b - o = 145*b - 304. Let d(a) = a - 4. Let s be d(5). Suppose s - 20 = -t. What is the greatest common factor of t and b?", "a": "19" }, { "q": "Suppose 2*b + 26 = 4*b - 2*j, 3*b - 2*j = 34. Let l(w) = 3*w - 21. Let s be l(b). Calculate the highest common divisor of 21 and s.", "a": "3" }, { "q": "Let y = -5788 + 13668. Calculate the highest common factor of 40 and y.", "a": "40" }, { "q": "Suppose v + 5 - 30 = 0. Let i = v + -17. Calculate the greatest common divisor of 128 and i.", "a": "8" }, { "q": "Suppose 0 = -3*l + 68 + 64. Suppose -h = 3, l = -0*v + v + 3*h. Let a = v + -33. What is the highest common divisor of a and 80?", "a": "20" }, { "q": "Suppose 3406 = 184*p - 53*p. What is the highest common divisor of p and 11?", "a": "1" }, { "q": "Suppose -1955*t - 3*x + 63 = -1953*t, 4*t + x = 141. Suppose -3*s = 4*g + 2, 5*g + 16 = 6. Calculate the highest common factor of t and s.", "a": "2" }, { "q": "Suppose -6 - 15 = -b. Let i = -101 + 129. Calculate the highest common factor of i and b.", "a": "7" }, { "q": "Let s be (23868/(-9945))/((2/420)/(-1)). Suppose -3*c = -3, 5*i + 0*c - 312 = 3*c. What is the highest common divisor of i and s?", "a": "63" }, { "q": "Let f(x) = -8*x - 121. Let u(k) = -8*k - 122. Let b(a) = 5*f(a) - 4*u(a). Let j be b(-15). Calculate the highest common factor of 2 and j.", "a": "1" }, { "q": "Let n(q) be the first derivative of q**3/3 + 11*q - 40. Let c be n(6). What is the highest common factor of c and 423?", "a": "47" }, { "q": "Let w(g) = g**3 + 14*g**2 - 80*g + 32. Let c be w(6). Calculate the greatest common divisor of c and 80.", "a": "16" }, { "q": "Suppose 2*t = 4*v + 144, -5*v - 197 - 183 = -5*t. Suppose 4 = -l + 20. What is the greatest common divisor of l and t?", "a": "16" }, { "q": "Let m = -4779 - -4941. Suppose -23 = -t + 31. Calculate the highest common divisor of m and t.", "a": "54" }, { "q": "Suppose 5*n - 30*n + 50 = 0. Let o be (64 - n) + (-11 - -5 - -8). What is the highest common divisor of 16 and o?", "a": "16" }, { "q": "Suppose 2*c - 3 = -17. Let j(k) = -2*k + 2. Let n be j(c). Let o be 1085/31 - (2 + -7). Calculate the highest common divisor of n and o.", "a": "8" }, { "q": "Suppose 3*d + 8 - 4 = -5*s, 0 = -2*s - 4. Suppose 5*w = -5, 0 = -4*z + d*w + 3*w + 157. What is the highest common factor of 95 and z?", "a": "19" }, { "q": "Let n = -1525 - -2080. Calculate the greatest common factor of 105 and n.", "a": "15" }, { "q": "Let y = 555 - 300. Let s = 545 - y. What is the greatest common divisor of 10 and s?", "a": "10" }, { "q": "Let w be (1 + 2)*3440/30. What is the highest common factor of w and 88?", "a": "8" }, { "q": "Let k(c) = 28*c + 409. Let w be k(-13). What is the highest common divisor of w and 355?", "a": "5" }, { "q": "Let l be 2502 - 3*(3 - -33*(-5)/45). Calculate the highest common divisor of 16 and l.", "a": "8" }, { "q": "Let j = 3207 + -3116. Suppose 5*y = -25 + 95. Calculate the highest common divisor of y and j.", "a": "7" }, { "q": "Suppose -n - 936 = -6*k + 2*n, 4*k = -2*n + 640. Calculate the highest common factor of k and 1975.", "a": "79" }, { "q": "Let f be (-4 - 45/(-9))*-11*(-2 + -119). Calculate the highest common divisor of 484 and f.", "a": "121" }, { "q": "Suppose 0 = -4*k + 6 + 194. Let m = k - 18. What is the greatest common divisor of 24 and m?", "a": "8" }, { "q": "Let r = -4 - -2. Suppose 2*p = 2*c + 50, 5 + 11 = p + 2*c. Let d be p - (r - 0) - 4. What is the highest common divisor of 30 and d?", "a": "10" }, { "q": "Let v(w) = 5*w**2 + 9*w - 8. Let k be v(1). Suppose -k*i + 835 + 413 = 0. Calculate the greatest common divisor of 26 and i.", "a": "26" }, { "q": "Let s = 101 - -403. What is the greatest common factor of 144 and s?", "a": "72" }, { "q": "Let k(t) = -t**3 - 7*t**2 - t + 5. Let s be k(-4). Let c be (26/s)/(2/(-33)). Calculate the greatest common factor of 451 and c.", "a": "11" }, { "q": "Let z(g) = g + 38. Let x(o) = 4*o + 113. Let t(n) = 3*x(n) - 8*z(n). Let v be t(-17). Let q = -16 - v. Calculate the greatest common factor of 51 and q.", "a": "17" }, { "q": "Let w(n) = -11 - n**2 - 8 + 13*n + 24. Let l be w(13). Suppose l*r + 93 = 588. What is the greatest common factor of 9 and r?", "a": "9" }, { "q": "Suppose 144 = 87*m - 75*m. Suppose 0 = -d - 9 + 30. Let h be m/42 - (-309)/d. What is the greatest common factor of h and 10?", "a": "5" }, { "q": "Let q(o) = -105*o + 7. Let j(b) = b**3 + 5*b**2 + 2*b + 8. Let z be j(-5). Let g be q(z). Calculate the highest common factor of g and 31.", "a": "31" }, { "q": "Let a be (-13 - -18)*1/(10/(-32)). Let w = -14 - a. Suppose 0 = -n + 5*g + 11, -w*n + 5*n + g - 1 = 0. What is the highest common divisor of 5 and n?", "a": "1" }, { "q": "Suppose 5*y = -3*j + 192, -3*y + 744 = 18*y - 3*j. Let h(d) = 36*d. Let o be h(5). Calculate the greatest common divisor of o and y.", "a": "36" }, { "q": "Suppose 3*f + 2 = 20. Let t be (-6 + f - -7)*1. Calculate the greatest common factor of 77 and t.", "a": "7" }, { "q": "Suppose 0 = 27*s + 23 - 428. What is the greatest common divisor of s and 2715?", "a": "15" }, { "q": "Let s be (6/(-10) + 3)*15. Let h be (((-1620)/24)/45)/((-2)/108). Calculate the greatest common divisor of s and h.", "a": "9" }, { "q": "Suppose 4*z = 6*z + 3*y - 2, -5*z = 3*y - 23. Suppose -240 = -17*f + z*f. Calculate the greatest common divisor of 15 and f.", "a": "3" }, { "q": "Suppose 3*v = -10*v - 208. Let m(t) = -2*t**2 - 35*t - 20. Let k be m(v). What is the highest common divisor of k and 70?", "a": "14" }, { "q": "Let w = -211 - 158. Let c = 649 + w. Calculate the highest common divisor of 80 and c.", "a": "40" }, { "q": "Suppose -75 = -2*g - 3*g + 2*o, 3*o - 15 = 0. Let a be (-10 - -1) + 5 - -378. What is the highest common divisor of g and a?", "a": "17" }, { "q": "Let u = -3127 + 3357. What is the greatest common factor of u and 598?", "a": "46" }, { "q": "Suppose 340*q + 9 = 341*q. Suppose -q = 3*s - 0, 0 = l + 3*s - 22. What is the highest common divisor of 248 and l?", "a": "31" }, { "q": "Let w be (20/4 - 0) + -371. Let n = w - -619. What is the greatest common factor of 23 and n?", "a": "23" }, { "q": "Let v = -8 + 11. Suppose 2*h - 25 - 35 = -v*c, -93 = -3*h - 3*c. Suppose 73*b = 56*b + 374. What is the greatest common factor of b and h?", "a": "11" }, { "q": "Let k be (65 - (9 - (1 + 2))) + (2 - 4). Calculate the highest common divisor of 114 and k.", "a": "57" }, { "q": "Let s = -10 - 10. Suppose 5*y - 155 = -5*c, -2*c - y + 155 = 3*c. Let o = s + c. Calculate the highest common divisor of 88 and o.", "a": "11" }, { "q": "Let n(m) = m**2 - 5*m - 44. Let w = 39 + -28. Let d be n(w). What is the highest common factor of d and 6?", "a": "2" }, { "q": "Let c be 8 + -9 + -2 + 212. What is the greatest common divisor of c and 741?", "a": "19" }, { "q": "Let r = 93 + -100. Let y be (-11)/((-33)/9)*r/(-3). What is the highest common divisor of 63 and y?", "a": "7" }, { "q": "Suppose 177 = 127*i + 22*i - 270. What is the greatest common factor of 3 and i?", "a": "3" }, { "q": "Suppose -102*c = -78472 - 34748. Calculate the highest common factor of 60 and c.", "a": "30" }, { "q": "Let a be (17*-20)/(-4) + 4. Let w = a - 5. Calculate the highest common factor of w and 36.", "a": "12" }, { "q": "Let d = -77 - -295. Let t = d + -186. Calculate the greatest common divisor of t and 160.", "a": "32" }, { "q": "Let v = -7816 - -11059. What is the greatest common factor of 69 and v?", "a": "69" }, { "q": "Let g(d) = d**2 - 4*d + 29. Let r be 20/5 + (-3 - -3). Let v be g(r). What is the greatest common divisor of v and 377?", "a": "29" }, { "q": "Suppose -1195 = -7*t - 712 + 819. Calculate the highest common divisor of t and 21.", "a": "3" }, { "q": "Let d(h) = 3*h**3 - 40*h**2 + 12*h + 25. Let v be (-50)/(-4) + 6/12. Let z be d(v). What is the highest common factor of 300 and z?", "a": "12" }, { "q": "Let b(l) = -l**2 + l + 1. Let h be b(6). Let w = h + 31. Suppose 0 = -w*x + 5*m + 19, 0 = 5*x + 4*m - 97. What is the greatest common factor of 85 and x?", "a": "17" }, { "q": "Let a(w) = w**3 + 3*w**2 - 5*w. Let r be a(-4). Let o(t) = -t**3 - 16*t**2 + 4. Let z = 95 + -111. Let i be o(z). What is the highest common factor of r and i?", "a": "4" }, { "q": "Let h = -9 - -23. Let c = 21 + 15. Suppose -31*x = -c*x + 630. Calculate the highest common divisor of x and h.", "a": "14" }, { "q": "Let q(v) = v**2 + 32*v + 189. Let d be q(-8). Let w = 20 + -14. Let s be 0 + ((-9)/w)/(d/38). Calculate the highest common factor of 19 and s.", "a": "19" }, { "q": "Let o = 29 - 64. Let s = 36 + o. Let p be 3 - (8 - s) - -24. Calculate the highest common factor of p and 4.", "a": "4" }, { "q": "Let l = 226 - -16. Suppose -5*z = -887 + l. What is the highest common factor of 43 and z?", "a": "43" }, { "q": "Suppose 15*k - 11*k + 2*c = 612, -765 = -5*k - 5*c. Calculate the highest common factor of k and 969.", "a": "51" }, { "q": "Suppose 48 = 2*c + l + 27, -3*c + 35 = 5*l. Calculate the highest common factor of c and 8.", "a": "2" }, { "q": "Suppose -3*m + 3 = -0. Let o(l) = -47*l - 3. Let b be o(m). Let x = -43 - b. Calculate the highest common factor of 21 and x.", "a": "7" }, { "q": "Let y be (23/2)/(48/96). Calculate the highest common factor of y and 4853.", "a": "23" }, { "q": "Let n(i) = 5*i**2 - 5*i + 54. Let w be n(6). Suppose -w = -16*u + 4*u. Calculate the highest common divisor of u and 34.", "a": "17" }, { "q": "Let b(m) = -3*m**3 + 10*m**2 - 12*m - 76. Let q be b(-7). What is the highest common divisor of 3 and q?", "a": "3" }, { "q": "Suppose 0 = 9*t - 370 - 1093 - 3784. What is the greatest common divisor of 477 and t?", "a": "53" }, { "q": "Let o(j) = -2*j**3 + 6*j**2 + 44*j + 55. Let t be o(-14). What is the highest common factor of t and 17?", "a": "17" }, { "q": "Let d be (4290/26)/(-5 + 6). Calculate the highest common divisor of 1100 and d.", "a": "55" }, { "q": "Suppose 3*o + 5*q + 2 = -6, -3*o = -2*q - 20. Suppose -16 = -o*f + k, -4*k = -4*f - k + 24. Calculate the highest common divisor of 3 and f.", "a": "3" }, { "q": "Suppose 254*i + 62073 = 353*i. Calculate the highest common divisor of i and 228.", "a": "57" }, { "q": "Suppose -80696 = 87*g - 308708 - 121554. Calculate the highest common divisor of g and 98.", "a": "98" }, { "q": "Let j(c) = -12*c**3 - 3*c**2 + 14*c + 71. Let d be j(-4). What is the greatest common factor of d and 525?", "a": "105" }, { "q": "Let a(k) = k**2 - 16*k + 33. Let c be a(16). Suppose -c*n = -31*n - 30. Calculate the greatest common divisor of 405 and n.", "a": "15" }, { "q": "Suppose -u + 117 - 27 = 0. Suppose -23*s = -18*s - 20, 2*s - 26 = -n. What is the greatest common factor of n and u?", "a": "18" }, { "q": "Let r be 84 + (4 - 7) + (4 - 1). Let z = r - 77. What is the highest common factor of 91 and z?", "a": "7" }, { "q": "Let i = 44 + -29. Suppose -i*g = -18*g + 2139. Let k = g + -372. Calculate the highest common factor of 31 and k.", "a": "31" }, { "q": "Let v = 67 + -184. Let j = -358 - -563. Let s = v + j. What is the greatest common divisor of 11 and s?", "a": "11" }, { "q": "Suppose -4147 + 979 = -66*c. Calculate the highest common divisor of c and 14.", "a": "2" }, { "q": "Suppose 3*t + 6 - 27 = 0. Suppose -s = 4*s + 5*r - 40, -4*s - 3*r + 31 = 0. What is the highest common factor of s and t?", "a": "7" }, { "q": "Let q = -3626 - -3661. What is the greatest common divisor of q and 65?", "a": "5" }, { "q": "Let w(k) = 2*k + 22. Let b be w(-10). Suppose 481 - 175 = b*o. Calculate the highest common factor of 34 and o.", "a": "17" }, { "q": "Let l(m) = -m**3 + 10*m**2 + 9*m + 45. Let r be l(10). What is the greatest common factor of 900 and r?", "a": "45" }, { "q": "Let g be 22708/135 + 76/(-1026) + (-4)/30. What is the greatest common factor of g and 1736?", "a": "56" }, { "q": "Let m(a) be the third derivative of a**5/60 - a**4/6 - 4*a**3/3 + a**2. Let o be m(6). Let f = -901 + 921. What is the highest common divisor of f and o?", "a": "4" }, { "q": "Let b be 12/(3 - (-75)/(-26)). Let x be -2 + 2 + 7 + -3. Let a = x + 9. Calculate the greatest common factor of b and a.", "a": "13" }, { "q": "Let j = 60 + -57. Suppose j*n = -x - 3*x + 25, 3*x + 2*n = 20. Suppose r + 2*b = 68 + 52, -5*b = -r + 85. What is the greatest common factor of x and r?", "a": "10" }, { "q": "Suppose -254 = -7*a + 26. Let v be ((-4)/10)/((-6)/2400). What is the greatest common factor of v and a?", "a": "40" }, { "q": "Let t(o) = -9*o**3 + 8*o**2 + 9*o - 8. Let b be t(-3). Calculate the greatest common divisor of 160 and b.", "a": "40" }, { "q": "Suppose 9*o + 73 = 163. Calculate the greatest common factor of o and 2110.", "a": "10" }, { "q": "Let q(r) be the first derivative of r**3/3 - 7*r**2 + 38*r - 20. Let c be q(11). What is the highest common factor of c and 55?", "a": "5" }, { "q": "Suppose 13*v - 14950 = -52*v. What is the highest common divisor of 10 and v?", "a": "10" }, { "q": "Suppose -4*s = -4 - 0. Let o = 12 - s. Suppose 5*c + 5*w = 120, 3*c - 6*w = -2*w + 58. What is the greatest common factor of o and c?", "a": "11" }, { "q": "Let y(f) = -f**3 - 5*f**2 + 36*f + 4. Let g be y(-16). Suppose 28*b - g = 6*b. What is the greatest common factor of 34 and b?", "a": "34" }, { "q": "Let m(h) = 57*h**3 + 4*h - 4. Let j(i) = -9*i + 55. Let c be j(6). Let b be m(c). Calculate the greatest common divisor of 76 and b.", "a": "19" }, { "q": "Let m(j) = -21*j - 19. Let k be m(-4). Let d = 90 - 75. What is the greatest common divisor of d and k?", "a": "5" }, { "q": "Let t be -3*3892/(-72) - (-3)/(-18). Suppose -5*r - t = r. Let a be (r/18)/((-6)/68). Calculate the greatest common factor of a and 17.", "a": "17" }, { "q": "Suppose 6*s - 13*s + 21 = 0. Let d(f) = -3*f**2 - f - 1. Let h be d(s). Let n = 103 + h. What is the greatest common divisor of 8 and n?", "a": "8" }, { "q": "Suppose -314*l + 316*l = 2*w + 178, -2*l + 181 = -3*w. What is the greatest common factor of l and 3053?", "a": "43" }, { "q": "Let n = -56 + 36. Let b = n - -67. Suppose -b = 4*r - 155. Calculate the highest common factor of 135 and r.", "a": "27" }, { "q": "Suppose 5*l = 91 + 74. Let b(y) = -7*y - 2. Suppose 5*a - 1 + 28 = -2*x, 2*x - 18 = 4*a. Let u be b(a). What is the highest common factor of l and u?", "a": "33" }, { "q": "Suppose -5*b = -4*x - 372, -3*x + 2*x = -2*b + 147. Let g = -1071 - -1089. Calculate the greatest common factor of g and b.", "a": "18" }, { "q": "Let v be (8/4)/(4/1222). Let p = v + -369. Let o = -3 - -25. Calculate the highest common divisor of o and p.", "a": "22" }, { "q": "Let n(v) = v**3 - 25*v**2 + 3. Let k be n(25). Let p be -6 + 63*2/k. What is the highest common divisor of p and 132?", "a": "12" }, { "q": "Suppose -7*h - 147 = -14*h. Let c = 35 - h. Suppose 2*u - c = 5*m, -2*u - 4*m + 18 = 4. Calculate the greatest common factor of u and 63.", "a": "7" }, { "q": "Suppose 4*o - 667*q + 668*q - 295 = 0, -5*o + 3*q + 390 = 0. What is the highest common divisor of 2775 and o?", "a": "75" }, { "q": "Suppose -30*x = -404 - 16. Let c = 0 - -3. Let o = x + c. Calculate the greatest common factor of 85 and o.", "a": "17" }, { "q": "Let m(f) = -f**2 - 15*f - 7. Suppose k + 12 = -10. Let w = k + 9. Let z be m(w). Calculate the highest common divisor of z and 19.", "a": "19" }, { "q": "Let f be 52/(-4) + 6/2*-1. Let a be (0 + -2)/(f/160). Calculate the highest common factor of 5 and a.", "a": "5" }, { "q": "Let u be (-4 - -10)*2/4. Suppose 2*h - 3*n = 6*h - 66, -u*h + 3*n = -39. Calculate the highest common factor of 105 and h.", "a": "15" }, { "q": "Suppose 4*g - 26 - 26 = 0. Let h(m) = 28 + 5*m**2 + 4*m - 22 - 19. Let w be h(-6). Calculate the highest common divisor of g and w.", "a": "13" }, { "q": "Suppose 66*k = 26566 + 11186. Calculate the greatest common divisor of k and 88.", "a": "44" }, { "q": "Let y = -1892 - -3482. Calculate the greatest common factor of y and 30.", "a": "30" }, { "q": "Let o(l) = 7*l**2 + 74*l - 130. Let n be o(15). What is the greatest common divisor of n and 35?", "a": "35" }, { "q": "Suppose 15*x - 63 = 52*x - 285. Calculate the greatest common divisor of x and 38.", "a": "2" }, { "q": "Let m = -2870 - -2930. Calculate the greatest common factor of m and 1515.", "a": "15" }, { "q": "Let x = 3 + 4. Suppose -681 + 226 = -x*n. Calculate the highest common divisor of n and 26.", "a": "13" }, { "q": "Suppose 0 = 42*s - 15*s - 2303 + 467. What is the highest common divisor of s and 2142?", "a": "34" }, { "q": "Let r(u) = -u**3 - 3*u**2 + 14*u + 63. Let s be r(-7). Calculate the greatest common factor of 56 and s.", "a": "7" }, { "q": "Suppose -21*s + 22*s - 65 = -4*o, -4*s + 3*o + 317 = 0. What is the highest common divisor of s and 176?", "a": "11" }, { "q": "Let x = -1419 - -1486. What is the greatest common divisor of 3 and x?", "a": "1" }, { "q": "Let a = 4145 - 4126. What is the greatest common factor of 437 and a?", "a": "19" }, { "q": "Suppose -4*a = 16, -2*m + 3*a + 20 = 2*m. Let n(b) = -23*b**2 - 6*b + 8 + 1 + 24*b**2. Let f be n(m). Calculate the highest common divisor of 10 and f.", "a": "1" }, { "q": "Let o = 92 + -95. Let u be (10 + o + 5)*(-99)/(-12). Calculate the greatest common divisor of 33 and u.", "a": "33" }, { "q": "Suppose r - 2 = -3*f, -4*f + 8*r - 6*r = 4. Suppose u - 174 + 14 = f. What is the greatest common factor of 64 and u?", "a": "32" }, { "q": "Let r = 1451 + -1115. Calculate the highest common factor of r and 224.", "a": "112" }, { "q": "Let g be 10614/186 + (-6)/93. What is the highest common divisor of g and 2451?", "a": "57" }, { "q": "Suppose -32 = -2*z - 26. Let o = 2 + 2. Suppose -o*m + 233 = -z*w, 0 = -2*w - 3*w - 15. Calculate the highest common divisor of 8 and m.", "a": "8" }, { "q": "Let i be ((-11)/3)/((-2)/6). Let d = -82 - -84. Let f be (-524)/(-12) - d/(-6). What is the highest common divisor of f and i?", "a": "11" }, { "q": "Suppose -4*j + 162 = 5*t, -t + 3*j = -0 - 21. Let z = -149 - -239. Calculate the greatest common divisor of t and z.", "a": "30" }, { "q": "Let p(n) = 445*n + 36. Let k be p(1). What is the highest common factor of k and 592?", "a": "37" }, { "q": "Let y = 1345 + -1209. What is the highest common factor of y and 17?", "a": "17" }, { "q": "Suppose 0 = 4*q - 22 + 30. Let l be (-1760)/(-112) - q/7. Calculate the greatest common factor of l and 144.", "a": "16" }, { "q": "Suppose -3*x - 14 = -g, -g - 6*x + x - 2 = 0. Suppose 3*w - 88 = -g*w. Calculate the greatest common factor of w and 200.", "a": "8" }, { "q": "Let k = 68 - 66. Suppose -74 = -3*w + 5*z, 2*w - 3*z = -k*w + 84. Let i = 9 + 0. What is the highest common factor of i and w?", "a": "9" }, { "q": "Let z = 2 + 108. Let o = -6 + z. What is the greatest common factor of o and 13?", "a": "13" }, { "q": "Let f(n) = -3*n**3 + 16*n**2 + 53*n - 5. Let t be f(7). Calculate the greatest common divisor of 55 and t.", "a": "11" }, { "q": "Let m be 480/(-5)*(-4)/6. Let t = 66 - m. What is the highest common divisor of t and 14?", "a": "2" }, { "q": "Suppose -3*p + 5*i - 8 + 263 = 0, -77 = -p - i. What is the greatest common divisor of p and 280?", "a": "40" }, { "q": "Let z = -89 - -149. Let x be (-4)/28 - ((-58)/14 - -3). Let s be (x/((-10)/(-36)))/((-123)/(-410)). What is the highest common divisor of s and z?", "a": "12" }, { "q": "Let n(k) = -11*k + 1. Let y be n(-1). Suppose y - 99 = -3*s. Suppose 2*u - 5*o = 618, -7*o = 5*u - 2*o - 1615. What is the highest common factor of s and u?", "a": "29" }, { "q": "Let x(v) = 134*v**2 + 4*v - 4. Let f be x(-3). Let g = f + -521. Suppose 3*p + d - 379 = 6*d, -g = -5*p - d. What is the highest common divisor of p and 19?", "a": "19" }, { "q": "Let i be (-1 - -2)*(11 - -2). Let j = -5641 - -5680. Calculate the greatest common factor of j and i.", "a": "13" }, { "q": "Suppose -18*c - 6 = -15*c. Let w(s) = -11*s**3 + s**2 + 5*s + 1. Let f be w(c). Let p = f - -133. What is the highest common divisor of p and 24?", "a": "24" }, { "q": "Let l be ((0 + 1)/(-1))/(7 + (-2560)/365). What is the greatest common divisor of l and 4307?", "a": "73" }, { "q": "Suppose 4 = 3*s - 2*f - 1, -4*f + 8 = 0. Suppose -2*o + 6*n + 69 = s*n, o - n - 34 = 0. Let l = o - 27. What is the highest common divisor of l and 30?", "a": "6" }, { "q": "Suppose 12915 + 76029 = 24*s. What is the greatest common divisor of s and 34?", "a": "34" }, { "q": "Let f(s) = 3*s - 30. Let u be f(11). Let l be 4/6 - (-97)/u. Suppose 247 - 841 = -2*r. Calculate the greatest common divisor of r and l.", "a": "33" }, { "q": "Let l be 7*5*((-2007)/(-135) - 5/3). What is the greatest common factor of 132 and l?", "a": "66" }, { "q": "Let g be 86 - (-5 + (4 - -5)). Let j = 119 - g. Calculate the highest common factor of 185 and j.", "a": "37" }, { "q": "Suppose -3*z + 4*h + 98 = -150, -79 = -z + 5*h. Let j = 207 - 116. Suppose 0 = 4*p - 21 - j. Calculate the highest common divisor of p and z.", "a": "28" }, { "q": "Let m = -176 - -437. What is the greatest common divisor of m and 203?", "a": "29" }, { "q": "Suppose -135 = -17*b + 2*b. Suppose 9*j - 3870 = -b*j. Calculate the greatest common factor of 86 and j.", "a": "43" }, { "q": "Let q be (-18)/(-108) + 1138/12. Suppose -16*i + q = -33. Calculate the greatest common divisor of i and 128.", "a": "8" }, { "q": "Suppose -4*d + 2*d - 3*f + 29 = 0, 10 = d - 3*f. Suppose -d = -3*t + 5. Suppose 18 = 62*q - 61*q. Calculate the greatest common divisor of t and q.", "a": "6" }, { "q": "Suppose 5*j = 12*j - 1022. Suppose -4*i - 4*b + j = b, -3*b - 62 = -2*i. Calculate the highest common factor of i and 2.", "a": "2" }, { "q": "Suppose -5*z - 3011 + 3136 = 0. Suppose 2*n = 6*n - 60. Calculate the greatest common factor of z and n.", "a": "5" }, { "q": "Let m be 1284/15 - -4 - 18/(-45). Let k be 5/(-10) + (-146)/(-4). What is the highest common divisor of m and k?", "a": "18" }, { "q": "Let r be 146/10 - 8/(-20). Suppose -k + 3*v - 16 = -r, -4*v - 12 = -3*k. Suppose 0 = -w + 3*w - 16. What is the highest common factor of w and k?", "a": "8" }, { "q": "Let y = -3132 - -3924. Calculate the highest common factor of 88 and y.", "a": "88" }, { "q": "Let x(i) = -i**2 - 2. Let f be (-32)/208 - 4/(-26). Let z be x(f). Let v be (9 + 4 + z)*5. Calculate the highest common factor of 11 and v.", "a": "11" }, { "q": "Suppose -77 = -4*r + l + 112, -4*l = -r + 51. What is the highest common factor of r and 8?", "a": "1" }, { "q": "Suppose 2*v = 5*v - 42. Suppose -23*n + 12 = -19*n. Suppose -n = l - 5*p, 3*l - 4*p - 23 = -5*p. What is the greatest common factor of v and l?", "a": "7" }, { "q": "Suppose -60 = -10*b + 15*b. Let f(z) = z**2 + 8*z - 24. Let a be f(b). Calculate the highest common divisor of a and 384.", "a": "24" }, { "q": "Let s be (-28)/((-112)/16)*(-1 - -3). What is the highest common divisor of s and 1528?", "a": "8" }, { "q": "Suppose -2*z = 3*u - z - 240, -4*u + 320 = 5*z. Suppose -3*m + 12 = 0, 112 = 2*y - m + 5*m. Calculate the greatest common factor of u and y.", "a": "16" }, { "q": "Suppose 62*o - 2166 = 6414 + 1402. What is the highest common factor of 91 and o?", "a": "7" }, { "q": "Suppose 0 = 1811*a - 1801*a - 570. What is the highest common divisor of a and 57?", "a": "57" }, { "q": "Let h be (-48)/(-54) - (-252)/81. Calculate the highest common divisor of h and 796.", "a": "4" }, { "q": "Suppose l - 61 = -6*g + 2*g, 5*l = -3*g + 50. Let b = -1238 + 1358. What is the greatest common factor of g and b?", "a": "15" }, { "q": "Let x = -9 + -98. Let y be 2 + -5 + 388/(-2). Let v = x - y. Calculate the greatest common factor of v and 10.", "a": "10" }, { "q": "Let w = 59 + -47. Let b(h) = h**2 - 13*h + 18. Let m be b(w). Calculate the greatest common factor of m and 33.", "a": "3" }, { "q": "Let r = -30 - -43. Let a = r - 11. Suppose -h - a*m + 2 = -3*h, 7 = 2*h + m. Calculate the greatest common divisor of h and 14.", "a": "2" }, { "q": "Let q(n) = n**2 - 16*n + 10. Let a be q(19). Suppose -4*k = -2*i - 166, 2*k - 2*i - 17 = a. Let o = k + -34. Calculate the highest common factor of 28 and o.", "a": "7" }, { "q": "Let i be -9*(22/(-18) + (-26)/(-117)). Suppose -i*l + 77 + 94 = 0. Calculate the highest common divisor of 19 and l.", "a": "19" }, { "q": "Let s = -32 + 35. Suppose -5*b = -s*g + 134, -2*b + 3*g + 16 - 75 = 0. Let l be -2*1/(5/b). Calculate the greatest common divisor of l and 10.", "a": "10" }, { "q": "Suppose -r = 5*u - 189, -2*r + 105*u - 106*u + 333 = 0. What is the greatest common factor of r and 82?", "a": "82" }, { "q": "Let u(t) = -1. Let g(z) = -z - 2. Suppose -2*o = -3 + 5. Let v(q) = o*g(q) + 6*u(q). Let i be v(5). Calculate the highest common divisor of i and 4.", "a": "1" }, { "q": "Let o(p) = -p**3 + 14*p**2 - 22*p - 13. Let w be o(7). Let f = w + -174. What is the highest common divisor of 3 and f?", "a": "1" }, { "q": "Let s = 492 - 812. Let d = s - -456. Calculate the greatest common factor of d and 68.", "a": "68" }, { "q": "Suppose -b + 441 = 3*p - 491, -2*b = -p + 320. What is the highest common divisor of 384 and p?", "a": "24" }, { "q": "Let i = 5434 + -4408. Calculate the greatest common factor of i and 57.", "a": "57" }, { "q": "Suppose -y - 51 = -4*y. Suppose 765 = -5*b - 1050. Let w = -244 - b. What is the greatest common factor of w and y?", "a": "17" }, { "q": "Suppose 2*o = 11*f - 9*f - 26, 4*o - 12 = -4*f. What is the greatest common factor of 3272 and f?", "a": "8" }, { "q": "Let w(u) = -10*u + 1. Let n be w(-1). Let r = n + -7. Suppose 0 = -4*a, -m - 2*m + r*a = -45. Calculate the highest common divisor of m and 15.", "a": "15" }, { "q": "Let y be 1/(-3)*(7 + -13). Let k be 30 - (4 - 7 - -5). Let p = -12 + k. What is the highest common divisor of y and p?", "a": "2" }, { "q": "Suppose 742*k = 743*k - 6. Calculate the highest common factor of k and 345.", "a": "3" }, { "q": "Let d = 4 - -15. Suppose -5*i - 3*s + 5*s = -d, -5*s + 5 = 5*i. Suppose 4*y - 252 = -i*x, 475 = 5*x - 3*y + 55. What is the highest common divisor of x and 12?", "a": "12" }, { "q": "Suppose 5*n - 3*n - l - 204 = 0, -2*n + 212 = -3*l. Suppose -4*d = -n - 888. Calculate the greatest common divisor of 19 and d.", "a": "19" }, { "q": "Suppose 6*w - 100 = -4*w. Suppose -5*a + 5*x + 10 = 0, 5*a - 10 = -18*x + 17*x. What is the highest common factor of a and w?", "a": "2" }, { "q": "Let j = -57666 + 57686. Let q = 62 + -17. What is the highest common divisor of j and q?", "a": "5" }, { "q": "Let a(s) = 62*s + 10. Let c be a(1). Calculate the highest common factor of c and 99.", "a": "9" }, { "q": "Let c = -179 - -35. Let o be c/(-15)*70/4. Suppose -6*k + o = -2*k. What is the highest common factor of k and 14?", "a": "14" }, { "q": "Suppose -4*h = -8, -3*h + 8*h + 15 = 5*q. Suppose -q*t - w = -2*t - 73, 0 = w - 4. Let u be 3/((-9)/6) - -255. Calculate the highest common divisor of u and t.", "a": "23" }, { "q": "Suppose -33 + 133 = 2*n. Suppose 38 - 8 = 6*a. Suppose a*v = -3 + 53. What is the greatest common factor of n and v?", "a": "10" }, { "q": "Let a = -337 - -187. Let q = -214 - a. Let v = -32 - q. Calculate the greatest common factor of 256 and v.", "a": "32" }, { "q": "Let k(j) = -21*j**3 - 5*j**2 + 24*j + 53. Let b be k(-2). What is the greatest common divisor of b and 72?", "a": "9" }, { "q": "Let h(j) = j**3 - 2*j + 3. Let i be h(3). Let c = 370 + -298. What is the greatest common divisor of c and i?", "a": "24" }, { "q": "Let x(k) = -k**3 - 14*k**2 + 13. Let u = -4 - 10. Let b be x(u). Let o = b - 0. What is the greatest common factor of o and 91?", "a": "13" }, { "q": "Suppose 11900 = 258*v - 224*v. Calculate the highest common factor of v and 154.", "a": "14" }, { "q": "Let o = 2836 + 1164. What is the highest common divisor of o and 125?", "a": "125" }, { "q": "Let r(x) = x**3 + x. Let s be r(2). Let q = s + -7. Let i be 113/(q/3) + -1. Calculate the greatest common divisor of 16 and i.", "a": "16" }, { "q": "Let g(p) = -p**3 + 4*p**2 - 3*p + 4. Let t be g(3). Let j = -2025 - -2027. Calculate the greatest common divisor of j and t.", "a": "2" }, { "q": "Let u = 23 + -22. Let i = u - -6. Let f(o) = o**2 - 8*o + 9. Let s be f(i). Calculate the greatest common factor of s and 8.", "a": "2" }, { "q": "Suppose -22*u = -10*u - 13*u + 2268. Calculate the greatest common factor of u and 56.", "a": "28" }, { "q": "Suppose 172*x = 175*x - 14280. Calculate the highest common divisor of x and 10.", "a": "10" }, { "q": "Let n be ((-2)/6)/(9/783). Let k = n + 34. Suppose -95 = -5*m + 6*g - 3*g, 5*g = k*m - 105. What is the greatest common factor of 2 and m?", "a": "2" }, { "q": "Suppose 0 = -5*p + 7 + 3. Suppose -5*f = 2*s - 55, 52 = -24*f + 27*f + 5*s. What is the greatest common divisor of f and p?", "a": "1" }, { "q": "Let s be 1622/9 + 3/(216/(-16)) + 0. Calculate the greatest common factor of 1728 and s.", "a": "36" }, { "q": "Suppose -3*z + 4*z - 8 = -5*v, v - 5*z - 12 = 0. Suppose 0 = v*y + 6, 6*k - 9*k + 27 = -3*y. Calculate the highest common divisor of 15 and k.", "a": "3" }, { "q": "Let x be 11/7 - 15/(-35). Suppose x*h + 2*h + 300 = 5*j, -5*j = h - 275. What is the highest common divisor of 448 and j?", "a": "56" }, { "q": "Let n(k) = k**2 + 2*k + 4. Let p = 109 - 115. Let f be n(p). What is the greatest common divisor of f and 49?", "a": "7" }, { "q": "Suppose 58 = -3*m + 5*c, -c - 22 = m + 8. Let l = 30 + m. Suppose -3*n - 16 = -l*n. Calculate the greatest common divisor of n and 40.", "a": "8" }, { "q": "Suppose -r - 1 + 2 = 0, 11 = 4*i - r. Let t(v) = -v**3 - 5*v**2 - 6*v - 4. Let a be t(-4). What is the greatest common divisor of i and a?", "a": "1" }, { "q": "Let f(o) = o**3 - 44*o**2 + 200*o + 30. Let l be f(39). What is the highest common factor of 405 and l?", "a": "45" }, { "q": "Suppose 5*x - 294*d - 6547 = -297*d, 5*x = -4*d + 6546. What is the greatest common divisor of 30 and x?", "a": "10" }, { "q": "Suppose 0*g - 42 = -3*g. Let j be 62/(-6)*36/(-12). Suppose -j*x + 25*x = -756. What is the greatest common divisor of x and g?", "a": "14" }, { "q": "Suppose 0 = -26*j + 36*j + 1700. Let y be (j/(-5) - 0)/(3/6). Calculate the greatest common divisor of y and 119.", "a": "17" }, { "q": "Let m be (-63)/((1/3)/1). Let p = 54 - m. Let y be -1*-18*3/2. Calculate the highest common factor of p and y.", "a": "27" }, { "q": "Let g(y) = -8*y - 24. Let o be g(-6). Let n be (-5)/(-5) + o + -2*2. What is the greatest common divisor of 49 and n?", "a": "7" }, { "q": "Let n(m) = -m**2 + 24*m - 71. Let i be n(17). What is the greatest common factor of 156 and i?", "a": "12" }, { "q": "Let l be (-310)/(-20) + 8 - (-1)/(-2). Let k = -116 - -208. Calculate the greatest common factor of l and k.", "a": "23" }, { "q": "Let y be (1 - 1) + -32 + -3. Let w = -32 - y. Suppose -2*d - 2*s = 2*s - 28, d + w*s - 11 = 0. Calculate the greatest common divisor of d and 8.", "a": "4" }, { "q": "Let s(d) be the first derivative of -d**3/3 + 5*d**2 + 24*d + 40. Let m be s(7). Calculate the greatest common factor of m and 5.", "a": "5" }, { "q": "Suppose -49*x + 5*a + 256 = -45*x, a = -5*x + 291. Let o(k) = 18*k**2 + 3*k - 5. Let f be o(4). Calculate the highest common factor of x and f.", "a": "59" }, { "q": "Suppose -71*p + 9792 = -17543. What is the highest common factor of p and 275?", "a": "55" }, { "q": "Let f(h) = h**2 - 12*h + 37. Let b be f(7). Suppose -4*d + 84 = 4*a, -b*a = -3*a - 3*d + 27. Calculate the greatest common divisor of 234 and a.", "a": "18" }, { "q": "Suppose 3*r = 3*y - 3879, -11*r + 6492 = 5*y - 7*r. Suppose 5*c - y = c. Calculate the greatest common divisor of c and 12.", "a": "12" }, { "q": "Suppose 24*c = 21*c + 12. Let t be c/(-18) + (-17335)/(-45). Calculate the greatest common factor of t and 35.", "a": "35" }, { "q": "Suppose 4*i = -0*i - 24. Let k(t) = -4*t - 20. Let y be k(i). Suppose y*a = a + 108. What is the highest common divisor of 9 and a?", "a": "9" }, { "q": "Let x be ((-1)/3)/((-2)/12). Let j = -10613 - -10645. Calculate the greatest common divisor of j and x.", "a": "2" }, { "q": "Let a be (36/2)/(-21 + (-15468)/(-736)). What is the highest common factor of 240 and a?", "a": "48" }, { "q": "Let a = 329 - 76. Let w(f) = -7*f**2 + 9*f + 4*f + 4*f + 2 + 15*f**2. Let k be w(-3). What is the highest common divisor of a and k?", "a": "23" }, { "q": "Suppose 0 = 5*w + 49 - 74. Suppose -1535 = -w*j + n, -2*j = -j - 4*n - 326. Calculate the highest common factor of j and 34.", "a": "34" }, { "q": "Let s(u) = u**3 - 5*u**2 - 10*u + 27. Let r be s(6). Suppose r*d = -12, -4*d + d = -2*v + 122. What is the greatest common factor of 5 and v?", "a": "5" }, { "q": "Let h = -204 - -260. Suppose 200 = 61*t - h*t. Calculate the greatest common divisor of 20 and t.", "a": "20" }, { "q": "Let c = 3658 + -3650. What is the greatest common divisor of c and 20?", "a": "4" }, { "q": "Let o = -24 - -27. Suppose 0 = 2*n - 3*b - 21, 2*b + 7 = o*n - 4*n. Suppose -6*w + 43 = 2*y - w, 117 = 5*y + n*w. What is the highest common factor of 12 and y?", "a": "12" }, { "q": "Suppose -5*y + 5*h = -0*y - 5, y - 2*h - 6 = 0. Let n be (36/14)/3*(y + 18). Calculate the highest common factor of 8 and n.", "a": "4" }, { "q": "Suppose -3*d + 0*s + 4618 = 2*s, -5*s - 4583 = -3*d. What is the greatest common factor of 96 and d?", "a": "96" }, { "q": "Let q(g) = -8 + 16 + 5*g - 10*g + 2 + 12. Let n be -1*20 - 4/2. Let r be q(n). Calculate the highest common divisor of r and 12.", "a": "12" }, { "q": "Let c be 4*23 - 1650/150. Suppose 0*a + 2*a = 18. Calculate the greatest common factor of c and a.", "a": "9" }, { "q": "Suppose -58*c = -47*c - 88. Let l be 7216/132 + (-1 - c/(-6)). Calculate the highest common factor of 33 and l.", "a": "11" }, { "q": "Suppose 5*k - 2*k + 2*f - 38 = 0, 2*f = 3*k - 22. Let q be (4 + (-154)/21)*-3*55/10. Calculate the greatest common divisor of q and k.", "a": "5" }, { "q": "Let c = 230 + -198. Calculate the highest common divisor of c and 256.", "a": "32" }, { "q": "Suppose -4*o - k + 75 = 0, 50 = 5*o + 3*k - 49. Let w be (822/15)/(2/(-10)). Let h be w/(-10) - (-2)/(-5). Calculate the highest common factor of o and h.", "a": "9" }, { "q": "Let f be 34/187 - (1 + (-7155)/33). Let u = f + -191. What is the greatest common factor of u and 225?", "a": "25" }, { "q": "Let o be (0 + 10)*2/(-16)*(-41 + 29). Let z be (9/4)/((-6)/(-16)). Calculate the highest common factor of o and z.", "a": "3" }, { "q": "Let t = 163 + -115. Let v = 16 + t. Let c = v - 41. Calculate the greatest common factor of c and 253.", "a": "23" }, { "q": "Let v(w) = w**2 + w. Let h be v(-3). Suppose -2*x = -0 - h. Let q be 23 + -11 + (-1 - x). What is the highest common divisor of q and 16?", "a": "8" }, { "q": "Let a = 5418 - 4337. What is the greatest common divisor of 138 and a?", "a": "23" }, { "q": "Let c be (-3)/(-27) + (-1345)/(-45). What is the highest common divisor of c and 1515?", "a": "15" }, { "q": "Suppose 7*j - 40 = 3*j. Suppose -5*h + 3*n = -276, -5*h + 3*h - 2*n = -104. Suppose 2*r - 86 = h. Calculate the highest common factor of j and r.", "a": "10" }, { "q": "Let s be 3/7 - 224/(-49). Let d be 10/4*1/s*24. Let q = 12 + d. What is the highest common factor of 6 and q?", "a": "6" }, { "q": "Suppose 0 = -y + 7 + 2. Let v be 4 + -9 - -2 - -31. Let d be 4/(-14) + 176/v. What is the greatest common divisor of y and d?", "a": "3" }, { "q": "Let u = 165 - 210. Let m = -1 - u. What is the greatest common factor of m and 99?", "a": "11" }, { "q": "Let t be ((0 - -9) + (-175)/21)*(-66)/(-4). Calculate the highest common factor of t and 506.", "a": "11" }, { "q": "Suppose -764*w - 3060 = -768*w. What is the highest common divisor of w and 10?", "a": "5" }, { "q": "Let t = -2898 - -2932. What is the greatest common factor of 4 and t?", "a": "2" }, { "q": "Suppose 5*r - 103 = h, -94*r = -98*r + 4*h + 92. Calculate the greatest common divisor of 1640 and r.", "a": "20" }, { "q": "Let i = -366 - -1233. What is the greatest common factor of 357 and i?", "a": "51" }, { "q": "Let w be 2/(-8) - (12/(-20))/(56/7210). What is the highest common divisor of 1463 and w?", "a": "77" }, { "q": "Suppose -r + 28 = h, 73 = 2*r - h + 5. Let u(q) = 148*q + 2524. Let w be u(-17). What is the highest common divisor of r and w?", "a": "8" }, { "q": "Suppose -m - 4*r + 15 = -0*m, -3*r + 17 = m. Suppose 0 = 3*v + 5*o - 172, 55*v - 59*v + 3*o + 297 = 0. What is the highest common factor of m and v?", "a": "23" }, { "q": "Suppose 78*o = 79*o + 11. Let m = 24 + o. Calculate the highest common factor of m and 2.", "a": "1" }, { "q": "Suppose 0 = -24*q + 30*q - 12. Suppose -3*m + 9 = 0, -10*r + 12*r = q*m + 46. Calculate the greatest common factor of r and 208.", "a": "26" }, { "q": "Suppose 4*t - 198 - 116 = -3*x, -154 = -2*t - 3*x. What is the highest common divisor of 1840 and t?", "a": "80" }, { "q": "Suppose 0 = -0*i + 3*i - 483. Let b = 676 + -669. What is the highest common factor of i and b?", "a": "7" }, { "q": "Let q(g) = -g**2 - 20*g - 40. Let c be q(-17). Suppose -59 = 4*v - c. Let t = v - -25. What is the greatest common factor of 13 and t?", "a": "13" }, { "q": "Let w be (95175/900)/((-6)/(-8)). Calculate the highest common factor of w and 235.", "a": "47" }, { "q": "Suppose 4*l = 5*p - 6777 - 25248, 0*l = -5*l. What is the highest common factor of 105 and p?", "a": "105" }, { "q": "Let b = -174 + 210. Let u(k) = -k**2 + 23*k + 26. Let r be u(22). What is the highest common divisor of r and b?", "a": "12" }, { "q": "Suppose 19 = 24*n - 25*n. Let w = n - -32. Suppose 3*p + p = 156. Calculate the greatest common divisor of w and p.", "a": "13" }, { "q": "Suppose 5*a = -5*m + 8 + 12, 5*m = 13*a + 38. Suppose 11 = -5*d + 136. What is the greatest common factor of d and m?", "a": "5" }, { "q": "Suppose -13 - 57 = -l. Let y = -15378 + 15406. Calculate the greatest common divisor of y and l.", "a": "14" }, { "q": "Suppose 2*b - 93 + 27 = 0. Suppose 2*t - 5*n = b, 6 = -10*n + 8*n. What is the highest common factor of 333 and t?", "a": "9" }, { "q": "Let j be (16/10)/(-1 + 678/690). Let s = j + 224. Calculate the highest common factor of 12 and s.", "a": "12" }, { "q": "Suppose 0 = 19*j - 21*j - 5*y + 679, -5*y - 25 = 0. Calculate the highest common factor of j and 22.", "a": "22" }, { "q": "Suppose 3 = 2*r - 7. Suppose 7 - r = q. Let t(z) = z + 1. Let u be t(7). What is the highest common factor of u and q?", "a": "2" }, { "q": "Suppose 7*s - 12 = 9. Suppose 4*r = s*n + 13 + 10, 4*n = -5*r + 21. Let j(u) = 83*u**2 - 2*u - 1. Let q be j(n). What is the highest common divisor of q and 21?", "a": "21" }, { "q": "Suppose -2*a = 2*o - 152, 55*a + 372 = 60*a + 3*o. Calculate the greatest common divisor of a and 57.", "a": "3" }, { "q": "Let b(k) = -7*k + 4*k**2 - 304 - 3*k**2 + 283. Let g be b(-3). Calculate the highest common divisor of 72 and g.", "a": "9" }, { "q": "Suppose 0 = -5*g + 3*u + 280, 13*g - 16*g + 5*u = -168. What is the highest common factor of 700 and g?", "a": "28" }, { "q": "Let o = -1405 + 1550. What is the greatest common factor of 40 and o?", "a": "5" }, { "q": "Suppose 96*l = -23*l + 16065. What is the greatest common divisor of l and 180?", "a": "45" }, { "q": "Suppose 33*j - 7343 - 1089 = 3580. Calculate the highest common factor of j and 7.", "a": "7" }, { "q": "Suppose -10*v - 2*v = -36. Suppose 4*s - 5*g - 338 = 0, -v*s - 3*g = -s - 158. What is the greatest common divisor of s and 205?", "a": "41" }, { "q": "Let u(c) = 2*c**2 - 38*c + 8. Let x be u(19). Let t be -1*2 - (-4)/(x/30). What is the greatest common factor of t and 39?", "a": "13" }, { "q": "Let o(n) = 7*n**3 - 36*n**2 + 7*n - 6. Let m be o(5). Calculate the greatest common divisor of 1372 and m.", "a": "4" }, { "q": "Let u(w) = w**3 - 13*w - 11. Let l be u(-3). Calculate the greatest common factor of 191 and l.", "a": "1" }, { "q": "Suppose 0 = 2*x + 2*k - 224, 3*x + 22*k = 26*k + 322. What is the highest common divisor of x and 704?", "a": "22" }, { "q": "Let l be (437/76)/(1/432). What is the greatest common factor of 54 and l?", "a": "54" }, { "q": "Let f(d) = -10*d + 396. Let n be f(30). What is the highest common factor of 120 and n?", "a": "24" }, { "q": "Suppose -20 = 5*d, 4*y - 4*d = -0*y + 916. Let s = -218 + y. What is the highest common divisor of s and 7?", "a": "7" }, { "q": "Suppose -3*o + 252 = 2*q, 108*o - 2*q + 416 = 113*o. What is the highest common divisor of 3403 and o?", "a": "41" }, { "q": "Let p = -1569 + 1584. Suppose -2*g - 3*o = -52, -4*g + 2*o + 97 = 25. Calculate the highest common factor of p and g.", "a": "5" }, { "q": "Suppose 236*v - 185*v - 17442 = 0. What is the highest common divisor of 99 and v?", "a": "9" }, { "q": "Suppose -9 = -p - 7. Let o be (-1)/p + (-7)/(-14). Suppose -y + 17 = 3*d, -y + 19 = 4*d - o*d. Calculate the highest common factor of 11 and y.", "a": "11" }, { "q": "Let v = -265 - -503. Suppose c + 3*u + 186 = 4*c, 0 = 4*c - 2*u - v. Calculate the greatest common factor of 57 and c.", "a": "57" }, { "q": "Suppose 35*f + 19*f = 5778. Calculate the greatest common factor of 1070 and f.", "a": "107" }, { "q": "Let w = 374 - 250. Calculate the highest common factor of w and 3720.", "a": "124" }, { "q": "Suppose 3*b = 2*k - 51, -5*k - 21 = 2*b + 32. Let i be ((-82)/3)/((-24)/36). Let o = i + b. What is the highest common factor of 110 and o?", "a": "22" }, { "q": "Suppose 4*s = 2*h + 2, 3*h = -9*s + 4*s + 8. Calculate the highest common factor of 135 and h.", "a": "1" }, { "q": "Let b = 89 + -56. Suppose 2*v = 6*v + 2*k + 42, -2*v + 3*k = b. Let z be 2/3*(-18)/v*2. Calculate the greatest common divisor of z and 4.", "a": "2" }, { "q": "Suppose 0 = 4*m - 4*x + 7*x - 28226, -3*m + 21175 = 5*x. What is the highest common factor of m and 85?", "a": "85" }, { "q": "Let g(j) = 30*j**3 + 2*j**2 - 3*j + 1. Suppose -16 = -7*d + 26. Suppose d*o - 3*o - 3 = 0. Let f be g(o). What is the greatest common factor of 150 and f?", "a": "30" }, { "q": "Let n = -24849 + 24877. Let w(i) = -2*i**3 - 5*i**2 + 3*i - 1. Let a be w(-4). Calculate the highest common divisor of n and a.", "a": "7" }, { "q": "Let q(o) = o**2 + 2*o + 2. Let u be q(-2). Let y = u - -1. Suppose 15 = -8*h + 10*h - b, 3*h - 12 = -2*b. Calculate the highest common divisor of h and y.", "a": "3" }, { "q": "Suppose -173*d = -77*d - 86*d - 8200. Calculate the greatest common divisor of 123 and d.", "a": "41" }, { "q": "Let r = 5517 + -3697. What is the greatest common divisor of r and 140?", "a": "140" }, { "q": "Suppose 9*t - 4 - 5 = 0. Let c be 5 - (t - (3 + -3)). Calculate the highest common divisor of c and 36.", "a": "4" }, { "q": "Let w(x) = -x**3 + 2*x**2 + 6*x - 5. Let n be w(3). Let t be 40 + (n - (3 - 1)) + 1. Calculate the highest common divisor of 430 and t.", "a": "43" }, { "q": "Let a be (-68)/(-119)*602/4. Calculate the greatest common divisor of a and 1677.", "a": "43" }, { "q": "Let p = 1 - -11. Suppose -7*i + 3*i = -8. Suppose 0 = r - 3*r - 2*g + 94, -i*g - 98 = -2*r. What is the greatest common divisor of r and p?", "a": "12" }, { "q": "Suppose 184 = 4*d - 27*v + 29*v, 0 = d + v - 44. Calculate the highest common divisor of d and 2512.", "a": "16" }, { "q": "Suppose -4*t + 5*d = -28, -43*d = -5*t - 48*d + 35. What is the greatest common divisor of 1078 and t?", "a": "7" }, { "q": "Suppose 2*i - 4403 = -9*n + 3739, -3*n - 16326 = -4*i. What is the greatest common divisor of 30 and i?", "a": "30" }, { "q": "Let y = 14518 + -14510. Let n be ((-6)/(-9))/((-2)/(-12)). Suppose -3*m - n*a = -90 - 14, -m + 36 = 2*a. Calculate the highest common factor of m and y.", "a": "8" }, { "q": "Let w(z) = -379*z - 741. Let t be w(-4). What is the greatest common divisor of 125 and t?", "a": "25" }, { "q": "Suppose 3*q = f - 30, -q = 111*f - 116*f + 94. Calculate the greatest common factor of f and 7218.", "a": "18" }, { "q": "Suppose 4*o = 3*c + 165, 4*o + 0*c - 171 = 5*c. Suppose -o*f + 35 = -34*f. What is the greatest common factor of 21 and f?", "a": "7" }, { "q": "Let r(s) = -s**3 - 5*s**2 + 5*s + 2. Let q be r(-6). Suppose q*x - 99 - 45 = 0. Let c be 6/(-14) + 990/105. Calculate the highest common factor of x and c.", "a": "9" }, { "q": "Let k = -1 + 3. Let z(m) = 11*m**3 + m**2 - m. Let b be z(k). Suppose -4*s + 19 + 19 = 3*l, 3*s = -5*l + 78. What is the greatest common divisor of l and b?", "a": "18" }, { "q": "Suppose 69 + 51 = v + 22. What is the greatest common factor of v and 245?", "a": "49" }, { "q": "Let b be (-19166)/(-63) - (-4)/(-18). Let o = 9 + -9. Suppose -r + 0*r + 38 = o. What is the highest common factor of r and b?", "a": "38" }, { "q": "Let z = -115 - -129. Calculate the highest common divisor of 7406 and z.", "a": "14" }, { "q": "Let h(z) = 6*z**3 - 4*z + 8. Let l be h(2). Suppose 2*i - 40 = -2*r + l, -132 = -3*i - 2*r. Calculate the highest common factor of 16 and i.", "a": "4" }, { "q": "Let u be ((-688)/(-20))/((-4)/(-20)). Let x = -79 + 142. Suppose -3*t + 8*t = -5*s + 195, x = s - 5*t. Calculate the greatest common factor of u and s.", "a": "43" }, { "q": "Let j(b) = b**2 + 5*b - 5. Let t be j(2). Suppose -2*c = 2*n - 46, -7*c - 8 = -t*c. What is the greatest common divisor of n and 38?", "a": "19" }, { "q": "Let x(c) = 15*c + 52. Let n be x(-4). Let h be (-1)/(-4) - (118/n - -1). Calculate the highest common factor of 266 and h.", "a": "14" }, { "q": "Let y(k) = 7*k**2 + 57*k - 94. Let s be y(-14). Calculate the greatest common divisor of 768 and s.", "a": "96" }, { "q": "Suppose -5*s + 44 = 4*w, 0 = -0*s - 5*s. Let f = w + 9. Calculate the greatest common factor of f and 160.", "a": "20" }, { "q": "Let t be 78/(-12)*-2 + -5. Suppose 0 = 3*d - 17 + t. What is the greatest common factor of d and 93?", "a": "3" }, { "q": "Suppose 2*f = 10*f + 136. Let x be (-1984)/(-30) - f/((-2040)/16). Calculate the highest common divisor of 99 and x.", "a": "33" }, { "q": "Suppose -5*q + 3*q + 4*z - 966 = 0, 0 = -5*z + 15. Let h = q + 750. Calculate the highest common factor of 21 and h.", "a": "21" }, { "q": "Let j(z) = -2*z - 1. Let v be j(-3). Suppose -v*y - y = -36. Let g = -4 - -19. What is the greatest common divisor of g and y?", "a": "3" }, { "q": "Suppose -4*z - 5*b + 8*b + 207 = 0, 0 = -3*z + 5*b + 169. What is the greatest common divisor of 1376 and z?", "a": "16" }, { "q": "Suppose 8*p + 4*p = 600. Let m be (19 - (-7 - -14))/(4/p). What is the highest common divisor of 6 and m?", "a": "6" }, { "q": "Suppose -3*g + 2 - 13 = -4*l, g + 7 = 3*l. Let a be 5 - (3 - 2 - 1). Calculate the highest common factor of a and l.", "a": "1" }, { "q": "Let w = 43 + -73. Let a = 53 + w. Let v = 50 - a. Calculate the highest common factor of v and 243.", "a": "27" }, { "q": "Let j(f) be the first derivative of f**4/4 + 2*f**3 - f - 5. Let k be j(-3). Let b = 66 - k. What is the highest common factor of b and 16?", "a": "8" }, { "q": "Let n = 215 + -189. Let m be 16*((-306)/(-468) - 4/n). Calculate the greatest common divisor of m and 64.", "a": "8" }, { "q": "Let j(l) = -l**3 + 25*l**2 - 85*l + 46. Let s be j(21). Calculate the greatest common divisor of 400 and s.", "a": "25" }, { "q": "Suppose 5251 = 3*j + s, j - 5*s = 690 + 1071. Calculate the highest common divisor of 309 and j.", "a": "103" }, { "q": "Suppose q + 2*o - 48 = 6*o, -q + 33 = -o. Suppose -10*h + 15*h - 20 = 0. Calculate the greatest common divisor of h and q.", "a": "4" }, { "q": "Let f = 16 + -10. Let n = 3372 + -3354. Calculate the greatest common divisor of f and n.", "a": "6" }, { "q": "Suppose 0 = 5*h + 4*x - 947, 0 = 5*h - x - 991 + 34. Calculate the greatest common divisor of h and 764.", "a": "191" }, { "q": "Suppose -2*q + 185 = -95. Calculate the greatest common divisor of 945 and q.", "a": "35" }, { "q": "Let x = 9 - 4. Suppose -5*i = -5*c - 7 + 92, 0 = -x*c - 4*i + 67. Suppose -69*h = -88*h + 285. What is the greatest common divisor of c and h?", "a": "15" }, { "q": "Let r(n) = 14*n**2 + 9*n - 6. Let y be r(3). Let d = 165 - y. What is the highest common factor of 2 and d?", "a": "2" }, { "q": "Let z be -6 + 4/((-6)/324*-3). Let v be (-2)/5 + (-334)/(-10). What is the greatest common factor of v and z?", "a": "33" }, { "q": "Suppose 0 = -3*j - 5*u + 106, -28*j + 76 = -26*j + 2*u. What is the greatest common divisor of 66 and j?", "a": "6" }, { "q": "Suppose 5*w = -2*t + 47, -5*t - 24 = -2*w + 18. Let y(j) = -j + 8. Let r be (-2)/5 + (-39)/15. Let q be y(r). Calculate the greatest common divisor of q and w.", "a": "11" }, { "q": "Let c be (-1564)/(-12) + (-15)/(-9). Let q = c + 309. Calculate the greatest common divisor of 49 and q.", "a": "49" }, { "q": "Suppose f - 2*z = 14, 2*f - 4*z - 32 = -f. Suppose 5*q = 5*m - 190, -f*q - 86 = 2*m - 4*m. What is the greatest common divisor of 88 and m?", "a": "11" }, { "q": "Suppose -4*k + 2*o = -392, 2*k + 16 = -2*o + 200. Let r(w) = 6*w**2 - 5*w + 19. Let n be r(5). Calculate the greatest common divisor of n and k.", "a": "48" }, { "q": "Suppose -2 = 2*u - 2*l, l - 1 = -0*u - u. Let r(x) = x**3 - 5*x**2 + 42. Let m be r(u). Suppose 0*j + 6 = j. Calculate the highest common factor of m and j.", "a": "6" }, { "q": "Let k = 216 - 139. Let n(p) = -3*p**3 - 2*p**2 + p - 1. Let y be n(-2). Let r = y + -6. What is the highest common divisor of k and r?", "a": "7" }, { "q": "Let s(q) = 41*q + 45. Suppose -22*r - 17 = -83. Let b be s(r). Calculate the highest common divisor of b and 48.", "a": "24" }, { "q": "Let a = -38 - -49. Suppose 2*c - x = 4*c + a, 2*c + 21 = x. Let v be -2 - -10*c/(-4). Calculate the greatest common divisor of v and 9.", "a": "9" }, { "q": "Suppose -r - 10*t + 109 = -1751, -2*r = 4*t - 3736. What is the greatest common divisor of r and 255?", "a": "85" }, { "q": "Let w(h) = -46*h**2 - 2*h - 1. Let y be w(-1). Let i = y - -50. Suppose -j - 7 = -i*b, -2*j + 8 + 0 = b. What is the greatest common factor of 6 and b?", "a": "2" }, { "q": "Suppose 18*h = 40461 - 7953. Calculate the highest common divisor of 210 and h.", "a": "42" }, { "q": "Suppose 0 = 3*b + p + 804, -b = -3*b - 5*p - 536. Let z = 108 + b. Let f be ((-2)/(-5))/((-4)/z). Calculate the greatest common divisor of 40 and f.", "a": "8" }, { "q": "Let t be 5 - (-358 + 1 - (1 + 0)). Calculate the highest common divisor of t and 1573.", "a": "121" }, { "q": "Suppose 5*g = 10, -z + 3*g + g - 30 = 0. Let a = -88 - -114. Let d = z + a. What is the highest common divisor of d and 12?", "a": "4" }, { "q": "Suppose -19*q + 58 = 1. Let c(n) = -14*n + 59. Let v be c(q). What is the highest common divisor of v and 391?", "a": "17" }, { "q": "Let t be 376/14 - (-21)/147. Let h be 2520/t*(1 - -5*1). What is the highest common divisor of 70 and h?", "a": "70" }, { "q": "Suppose -162 - 46 = 13*g. Let a be g/12 - (-376)/12. Suppose -2*b - 3*b + 100 = 0. Calculate the highest common divisor of a and b.", "a": "10" }, { "q": "Let h = 77 - 82. Let b(p) = -p**3 - 4*p**2 + 3*p. Let d be b(h). Calculate the highest common factor of d and 110.", "a": "10" }, { "q": "Suppose 13 = -4*f + 33. Let y be 4/(((-60)/(-14))/f + -1). Let k be (5/((-50)/(-24)))/(y/(-70)). What is the greatest common divisor of k and 66?", "a": "6" }, { "q": "Let y(j) = 2*j - 63. Let x(u) = u - 62. Let b(l) = 2*x(l) - 3*y(l). Let o be b(0). What is the greatest common divisor of o and 78?", "a": "13" }, { "q": "Suppose o + 13 = -h + 60, 3*o + 5*h = 135. Suppose 15*x - 2268 = 29*x. Let q be x/(-8) + (-8)/192*6. What is the highest common divisor of o and q?", "a": "10" }, { "q": "Let g(h) = 23*h**2 + 3*h - 3. Let u be g(-3). Let n be (14 - 8)/((-22)/(-55)). What is the highest common factor of u and n?", "a": "15" }, { "q": "Suppose -2*j + 6*j = 20. Let n be (-4 - -1 - -3)/(5 - 3). Suppose -3*t = 3*o - 4*t - 15, 3*o + 5*t - 15 = n. What is the highest common divisor of o and j?", "a": "5" }, { "q": "Let i = 6 - 3. Suppose 26 + 13 = -i*m. Let o = m + 94. Calculate the greatest common factor of 9 and o.", "a": "9" }, { "q": "Let c = 1709 + -1229. What is the highest common factor of 1 and c?", "a": "1" }, { "q": "Let x be (118/5 + -11)*5 + -6*1. Calculate the greatest common factor of 1121 and x.", "a": "19" }, { "q": "Suppose 0 = -5*f - 6 + 131. Let k = 56 + -9. Let y = k + 128. What is the highest common factor of f and y?", "a": "25" }, { "q": "Suppose 4*m = 121 + 95. Suppose k = -2*i + 30, k - 2*i - 16 + 10 = 0. What is the greatest common factor of m and k?", "a": "18" }, { "q": "Let l be 4/26 - (-5247)/117. Let t = 48 - l. What is the greatest common factor of t and 4?", "a": "1" }, { "q": "Let d(v) = -2*v**2 - 27*v + 2. Let m be d(-11). Suppose 18 = 2*c - 4*a, -5*c - 5*a = -10*c + 70. What is the greatest common divisor of m and c?", "a": "19" }, { "q": "Let f be 1 - ((-1224)/15 + 36/(-90)). What is the highest common divisor of 913 and f?", "a": "83" }, { "q": "Let m(s) = 2*s**3 + s**2 - 2. Let l be m(2). Let v be (-8)/54*3 + 236320/1008. Calculate the greatest common factor of l and v.", "a": "18" }, { "q": "Let w be (-31)/(-2) - (-23)/644*-14. Calculate the greatest common factor of w and 955.", "a": "5" }, { "q": "Suppose -o + 735 = -231. What is the highest common factor of o and 552?", "a": "138" }, { "q": "Suppose 4*t = 4*w + 284, 3*t + 76 - 317 = -4*w. What is the highest common divisor of 1825 and t?", "a": "25" }, { "q": "Suppose 3*m = 3*s + 57, 3*m = -0*m - 5*s + 89. Let k = 53 - m. Calculate the greatest common factor of k and 30.", "a": "30" }, { "q": "Let y(d) = d**3 - 8*d**2 - 22*d + 19. Let b be y(11). Suppose 0*i = 7*i - b. Calculate the highest common factor of i and 30.", "a": "10" }, { "q": "Suppose 294*t - 293*t - 107 = 5*a, -2*a + 202 = 2*t. Calculate the highest common divisor of 544 and t.", "a": "34" }, { "q": "Let t be ((-7)/2)/((-678)/(-228) - 3). What is the highest common divisor of t and 171?", "a": "19" }, { "q": "Suppose -2*o + 256 = -2*b - 270, 5*o + b - 1321 = 0. What is the highest common factor of o and 1408?", "a": "88" }, { "q": "Let o(r) = 0*r - 2*r**2 + 32*r + 3 + 2*r. Let n be o(16). Calculate the greatest common factor of n and 28.", "a": "7" }, { "q": "Let u = 2567 - 2243. Calculate the greatest common divisor of u and 9.", "a": "9" }, { "q": "Let x(a) = -8 + 0*a**2 + 20*a + 14*a**2 - 14*a - a**3 + 10*a. Let n be x(15). Let h = 69 + -13. Calculate the greatest common divisor of n and h.", "a": "7" }, { "q": "Suppose 242*j - 71995 = 55*j. Calculate the highest common factor of 14 and j.", "a": "7" }, { "q": "Suppose -5*g + z + 40 = 0, -11*g - 16 = -14*g - z. Let m be 2103/12 - 4/16. Suppose -3*b + m = 2*b. Calculate the greatest common divisor of b and g.", "a": "7" }, { "q": "Suppose -42 = -3*k - 6*w + 3*w, -2*w = 3*k - 45. Let u be (2*(-4)/(-8))/(11 + (-186)/17). Calculate the greatest common divisor of u and k.", "a": "17" }, { "q": "Let y = 6 - -5. Let s = -157 - -327. Suppose -5*f - 5 = -s. Calculate the greatest common divisor of y and f.", "a": "11" }, { "q": "Suppose 447 = -5*k + 147. Let f = k + 48. Let a be 56/f*3/(-12)*6. What is the greatest common factor of a and 56?", "a": "7" }, { "q": "Let n(u) = -5*u + 5. Let a be n(-2). Let x be -9*4 - a/5. Let y = 53 + x. Calculate the highest common factor of y and 35.", "a": "7" }, { "q": "Suppose -4*d + 78 = 5*b - 6715, 0 = 4*d + 2*b - 6778. What is the greatest common factor of d and 36?", "a": "36" }, { "q": "Let a(u) = -3*u**3 - 45*u**2 - 2*u - 184. Let k be a(-20). What is the highest common divisor of k and 48?", "a": "48" }, { "q": "Let q = -816 + 1072. Let a be (16/(-12))/((-3)/36). Calculate the greatest common divisor of q and a.", "a": "16" }, { "q": "Suppose -11420 = 40*l - 57*l + 1789. What is the greatest common divisor of l and 555?", "a": "111" }, { "q": "Let n be (-2)/16 - 3*(-745935)/360. Calculate the greatest common factor of n and 168.", "a": "168" }, { "q": "Suppose 0 = 4*x - 48 + 92 - 380. What is the highest common factor of 21 and x?", "a": "21" }, { "q": "Suppose -4*d + 2*f = -1598, 4*f + 1588 = -8*d + 12*d. Suppose 0 = 13*q - d - 313. Calculate the greatest common divisor of q and 33.", "a": "11" }, { "q": "Let g be (5 + 25 + 6)*(16 - 0). Suppose 2*t + 0*l = 5*l + 260, 0 = 4*t + 4*l - g. What is the highest common factor of t and 40?", "a": "20" }, { "q": "Suppose -2*c - c - 105 = -5*g, -2*g - 5*c + 11 = 0. Let a be g*(5 + 15/(-5)). Let t be ((-6)/9)/1*-18. Calculate the highest common factor of t and a.", "a": "12" }, { "q": "Let n be (9/3)/(-3) + -8 + 9. Suppose 119 = d - 2*x, -d - 2*x = -n*d - 115. Calculate the highest common divisor of d and 39.", "a": "39" }, { "q": "Let z be 1 - (-5 - (-2 - -1)). Let s be 1/((119/(-357))/(55/(-3))). Calculate the greatest common factor of z and s.", "a": "5" }, { "q": "Let t(o) = 74*o - 1712. Let b be t(24). Let h be (-358)/(-9) - (-6)/27. What is the greatest common factor of b and h?", "a": "8" }, { "q": "Suppose 15*s - 648 = 6*s. Let j be ((-25)/(-20))/(3/s). What is the greatest common divisor of j and 105?", "a": "15" }, { "q": "Let z(v) = -6*v**2 + 72*v + 18. Let l be z(11). Calculate the highest common factor of l and 2898.", "a": "42" }, { "q": "Let y = 306 - 264. Let i(o) = -o**3 + 4*o + 4. Let z be i(-4). Let f = z - y. Calculate the highest common divisor of 40 and f.", "a": "10" }, { "q": "Let l(s) = 2*s**3 - 11*s**2 + 10*s - 17. Let z be l(5). Let y be z/14*(513/18 - 4). What is the highest common factor of 238 and y?", "a": "14" }, { "q": "Let q(u) = -5404*u**3 + 6*u**2 + u - 4. Let w be q(-1). Calculate the greatest common divisor of w and 115.", "a": "115" }, { "q": "Suppose -2*w - 38 = -l, -54 = 3*l - w - 163. What is the greatest common factor of l and 210?", "a": "6" }, { "q": "Let k be 1/(-2)*2*0. Let z be (k - 360/(-3))*8/(-12). Let g = 16 - z. What is the greatest common factor of g and 12?", "a": "12" }, { "q": "Let q(x) = 79*x + 1709. Let y be q(-19). Calculate the greatest common factor of y and 1300.", "a": "52" }, { "q": "Suppose 130 = 114*s - 142*s + 3406. Calculate the greatest common factor of s and 13.", "a": "13" }, { "q": "Suppose 1224 = p + 3*p. Let r(h) = -3*h**3 - 92*h**2 + 30*h - 22. Let m be r(-31). Calculate the greatest common divisor of p and m.", "a": "9" }, { "q": "Let c(a) = -9*a - 60. Let f(d) = 2*d + 1. Let w(s) = -c(s) - 6*f(s). Let i be w(-27). Let y = -5 - -59. What is the greatest common divisor of i and y?", "a": "27" }, { "q": "Let n = 257 - 238. Suppose 0 = 2*h + s - 164 - 177, 175 = h - 4*s. What is the highest common factor of n and h?", "a": "19" }, { "q": "Let f(k) = -k**3 - 13*k**2 - 14*k - 2. Let b be f(-12). Suppose -5*z + 5*n = -100 - 145, 0 = 5*z - 2*n - 230. Calculate the greatest common factor of z and b.", "a": "22" }, { "q": "Let s = -6919 - -6951. Suppose -2*x + 91 + 339 = 3*p, 0 = 2*p - 5*x - 293. Suppose n - 4*n = -p. Calculate the highest common divisor of n and s.", "a": "16" }, { "q": "Let v be 2/5*(18 + 2) + 2. Let h(u) = -33 + v - 2*u - 4. Let i be h(-17). Calculate the highest common divisor of 56 and i.", "a": "7" }, { "q": "Let u(k) = 572*k - 1050. Let v be u(5). What is the greatest common factor of v and 10?", "a": "10" }, { "q": "Let w be 1/(-4) - 26/(-8). Suppose -9*x - 84390 + 84525 = 0. What is the highest common factor of w and x?", "a": "3" }, { "q": "Let p be 4 - 1 - -4 - 0/(-2). Suppose -3 = p*v - 38. Suppose o = 7*u - 3*u + 9, v*o - 24 = -u. Calculate the highest common factor of 5 and o.", "a": "5" }, { "q": "Let x = -4788 - -4802. Calculate the greatest common factor of x and 1526.", "a": "14" }, { "q": "Let i(m) = 3*m**2 + 34*m - 16. Let y(p) = p**2 - 9*p - 5. Let z be y(8). Let g be i(z). What is the highest common factor of 98 and g?", "a": "49" }, { "q": "Let q be (-447 - -443) + ((-3)/(3/2) - -1462). Calculate the highest common divisor of 672 and q.", "a": "112" }, { "q": "Let y = 201 + -191. Suppose -y = -14*z + 9*z. Calculate the highest common divisor of z and 18.", "a": "2" }, { "q": "Suppose -17*r + 16*r + 1841 = -139. Calculate the highest common divisor of 6 and r.", "a": "6" }, { "q": "Let s = 2742 + -1170. Calculate the greatest common divisor of 12 and s.", "a": "12" }, { "q": "Let l(r) = r**3 - 24*r**2 - 44*r - 163. Let s be l(26). What is the greatest common divisor of s and 117?", "a": "9" }, { "q": "Let t be 2/5 - (-10)/(-25). Suppose 5*d - d - 20 = t. Suppose d*c + 60 = 8*c. Calculate the greatest common factor of c and 10.", "a": "10" }, { "q": "Let y = -189 - -196. Suppose 8*f - 270 = -y*f. What is the greatest common divisor of 234 and f?", "a": "18" }, { "q": "Let t = -1263 + 1266. Suppose -3*s + 6*s - 33 = 0. Suppose -t*b = 5*r - s, b = 2*r - r + 1. Calculate the greatest common factor of 8 and b.", "a": "2" }, { "q": "Let b be (57/(-15))/((-5)/250*2). What is the highest common factor of 456 and b?", "a": "19" }, { "q": "Let b = -4466 + 4570. Calculate the highest common factor of 8216 and b.", "a": "104" }, { "q": "Let d(h) = 21*h + 1522. Let r be d(-20). Calculate the greatest common factor of r and 152.", "a": "38" }, { "q": "Let p = 9 + 12. Let s = 4565 + -4376. Calculate the highest common divisor of s and p.", "a": "21" }, { "q": "Let x = -35 - -65. Let v be (-74 - -78)*(4 + -1). What is the highest common divisor of x and v?", "a": "6" }, { "q": "Let q = 48 - 26. Let m be (-4 + 15)*(-17 - -18). What is the highest common factor of q and m?", "a": "11" }, { "q": "Suppose 0 = g - 3*g. Suppose 2*o + g*o - 110 = 0. What is the greatest common divisor of o and 10?", "a": "5" }, { "q": "Let y = -4 - -24. Let w = y - -10. What is the highest common factor of 75 and w?", "a": "15" }, { "q": "Let w(g) = -31*g**3 + 8*g**2 + 10*g - 2. Let r be w(-2). Suppose -21*z = -951 + r. What is the greatest common divisor of z and 22?", "a": "11" }, { "q": "Suppose 4*w - 52 = -4*y, -5*w + 2*y = 43 - 101. What is the greatest common factor of w and 5844?", "a": "12" }, { "q": "Suppose 2*k + 5*x - 108 = 0, -99*x - 324 = -5*k - 98*x. Calculate the greatest common factor of 16 and k.", "a": "16" }, { "q": "Let w be (-9)/(-6) - 1/(-2). Suppose 0 = -w*d + 3*p + 83, -5*d = -2*d + 4*p - 82. Calculate the highest common divisor of d and 68.", "a": "34" }, { "q": "Let k(y) = -30*y + 880. Let z be k(28). Calculate the greatest common divisor of z and 1280.", "a": "40" }, { "q": "Suppose x - 20 = -5*k, 5*x - 4*x = 4*k - 7. Suppose -k*s + 0*s = 2*g - 403, -5*s - 2*g = -669. Calculate the greatest common factor of s and 19.", "a": "19" }, { "q": "Let m be 2 + 0 - (-5 - -3). Let r be (-15)/(-10)*(-2 + m). Suppose 301 = r*a + 28. What is the highest common factor of a and 13?", "a": "13" }, { "q": "Let m(d) = 26*d**2 + 6*d + 4. Let o be m(-2). What is the highest common factor of o and 2?", "a": "2" }, { "q": "Let m(w) = 1819*w + 101. Let y be m(1). What is the greatest common divisor of 60 and y?", "a": "60" }, { "q": "Let k be (0 - -1) + 23180/20. What is the greatest common divisor of 24 and k?", "a": "8" }, { "q": "Let s(t) = 21*t**2 + 28*t + 14. Let d be s(-5). Let h = 401 - d. Suppose 2*l - 5*a = -3*a + 22, -a - 67 = -5*l. What is the greatest common factor of l and h?", "a": "2" }, { "q": "Let g be 972/2*187/51. What is the highest common factor of g and 22?", "a": "22" }, { "q": "Suppose 3*b = -3*h + 18, 15*b = h + 14*b - 12. What is the greatest common factor of 249 and h?", "a": "3" }, { "q": "Let h = 132 - 113. Suppose h*z - 2160 = 4*z. Calculate the highest common divisor of 9 and z.", "a": "9" }, { "q": "Let f(q) be the third derivative of q**5/12 + 17*q**4/24 - 11*q**3/3 - 29*q**2. Let g be f(-9). What is the highest common factor of 10 and g?", "a": "10" }, { "q": "Let o be (4*-7)/(372/(-11253)). What is the greatest common factor of 11 and o?", "a": "11" }, { "q": "Let r(n) = 47*n - 30*n - 2 - 23*n. Let s be r(-2). Let y(o) = -12*o + 4. Let q be y(-3). What is the greatest common divisor of q and s?", "a": "10" }, { "q": "Let c(x) = 4*x**2 + 52*x + 144. Let u be c(-15). Calculate the highest common factor of u and 9.", "a": "3" }, { "q": "Suppose 5*h = -0*h - 240. Let j be (-4 + 91/14)*26. Let i = h + j. What is the greatest common factor of i and 34?", "a": "17" }, { "q": "Let o = -218 + 219. Let f = 16 + o. Calculate the greatest common factor of 187 and f.", "a": "17" }, { "q": "Suppose 16 = 3*b - 4*w, -14*w + 16*w + 36 = 5*b. What is the greatest common factor of b and 52?", "a": "4" }, { "q": "Let q(w) = 17*w - 132. Let c be q(8). Let t(n) = 33*n**3 - 1. Let h be t(1). What is the greatest common factor of h and c?", "a": "4" }, { "q": "Let s be (525/(-700))/(1 + (-14)/8) + 5. Let w = -4 + 6. Calculate the greatest common divisor of w and s.", "a": "2" }, { "q": "Suppose 37 = 9*w - 197. Let z = 43 - 30. Calculate the greatest common divisor of w and z.", "a": "13" }, { "q": "Let w(q) = 301*q - 343. Let g be w(4). Calculate the greatest common divisor of 231 and g.", "a": "21" }, { "q": "Let f = -29 + 165. Let z(b) = 6*b - 49. Let c be z(11). Calculate the highest common divisor of c and f.", "a": "17" }, { "q": "Let q(n) = -2*n**2 + 8*n + 40. Let d be q(0). What is the greatest common divisor of d and 210?", "a": "10" }, { "q": "Suppose -6*r = -2*r - 88. Suppose 2*u - 29 = 15. Suppose -24*y = -u*y - r. What is the highest common divisor of y and 1?", "a": "1" }, { "q": "Let z be 1*4 + (10 - 12). Suppose z + 4 = g. Suppose 7*m - 5*m + 264 = 4*k, 0 = -3*m. Calculate the highest common divisor of g and k.", "a": "6" }, { "q": "Suppose -3*u = 5*z - 1384 - 602, 2*z - 3*u - 807 = 0. What is the highest common factor of 133 and z?", "a": "133" }, { "q": "Let w = 9 + -5. Suppose -4*n - u - 1482 = 0, -7*n - 1859 = -2*n - 2*u. Let o = 399 + n. Calculate the highest common factor of o and w.", "a": "4" }, { "q": "Let s = 2683 - 2659. Let m be -1 + (4 - 2) + 3. Suppose h = -h - 2*b + 94, m*h = -2*b + 190. Calculate the greatest common divisor of h and s.", "a": "24" }, { "q": "Let u be (-30*(-5)/(-60))/(10/(-16)). Let i = -2 + 3. Suppose -5*q - u = -2*t, -t + 4*q + 1 = -i. What is the highest common factor of t and 1?", "a": "1" }, { "q": "Let s(k) = 4*k + 61. Let p be s(-19). Let d be 5335/22 - p/(-6). Calculate the highest common factor of 15 and d.", "a": "15" }, { "q": "Let s(t) = 2*t + 19. Let q be s(-10). Let n be 0*q/(4 - 1). Suppose l - h - 60 = n, 2*h - 152 = -3*l - 2*h. What is the greatest common factor of l and 28?", "a": "28" }, { "q": "Suppose 0*s = 17*s + 11*s - 76692. Calculate the highest common divisor of 33 and s.", "a": "33" }, { "q": "Let y = 2110 - 1678. What is the greatest common factor of y and 720?", "a": "144" }, { "q": "Let b(a) = -3*a + 3. Let r be b(-5). Suppose -13*h - 60 = -3*u - 10*h, 4*h = 0. Suppose r*q = u*q - 2. What is the highest common divisor of q and 1?", "a": "1" }, { "q": "Let p(d) = d**3 + 2*d**2 - d + 368. Let o be p(0). Suppose 14*l = 10*l + o. Calculate the greatest common divisor of 4 and l.", "a": "4" }, { "q": "Let t(o) = 5*o + 223. Let k be t(-44). Suppose 6 = 5*v - 4*u - 48, 3*u = v - 13. Suppose v*j = k*j + 1120. What is the highest common divisor of j and 40?", "a": "40" }, { "q": "Let j(m) = -4*m - 10. Let t be ((-18)/63)/((-2)/14). Suppose -12 + 4 = t*d. Let f be j(d). What is the highest common divisor of f and 30?", "a": "6" }, { "q": "Let a = 59 + -44. Suppose 504 = a*i - 3*i. Suppose -t + 40 = 12. What is the greatest common factor of t and i?", "a": "14" }, { "q": "Let y be (0 + -2)/1 + 37. Let z be 2 + -2 + -7 - -4. Let g be (5/(-10))/(z/42). Calculate the greatest common factor of g and y.", "a": "7" }, { "q": "Let t(r) = 3*r**2 - 2*r. Let y be t(2). Let u(a) = 5*a - 43. Let h be u(23). What is the greatest common factor of y and h?", "a": "8" }, { "q": "Suppose 40 = 3*o + 4*k - 64, -k = -o + 37. Suppose 27*w = -39*w + 3960. What is the greatest common divisor of w and o?", "a": "12" }, { "q": "Let k(p) = -23*p**3 + 6*p**2 + 2*p - 20. Let s be k(-3). What is the greatest common factor of s and 531?", "a": "59" }, { "q": "Let w = 1705 - 1687. What is the greatest common factor of w and 1272?", "a": "6" }, { "q": "Let v(y) = -16*y. Let z be v(-2). Suppose 2*l = -l - 2*t, 2*l + 5*t = 0. Suppose -25*n + 20*n + 20 = l. What is the highest common factor of z and n?", "a": "4" }, { "q": "Let z(y) = -45*y + 221 - 426 + 222 + 7*y**2. Let c be z(7). What is the highest common divisor of c and 9?", "a": "9" }, { "q": "Let o be 57/3 + (-24)/(-4). Suppose o*w - 4*w = 126. What is the greatest common divisor of 26 and w?", "a": "2" }, { "q": "Suppose -26*s + 20*s = -252. Let f = 102 - s. What is the highest common divisor of 20 and f?", "a": "20" }, { "q": "Suppose -8*r = -6*r - 22. Suppose r*p + 13*p - 768 = 0. What is the highest common divisor of 176 and p?", "a": "16" }, { "q": "Suppose 130 = 3*b + 2*b + 2*p, 3*b - 2*p - 94 = 0. Suppose 49738 - 43914 = 32*l. Calculate the highest common divisor of l and b.", "a": "14" }, { "q": "Suppose 1533 = 11*a - 51. Calculate the greatest common factor of 40 and a.", "a": "8" }, { "q": "Let p(r) = 284*r - 488. Let s be p(6). Calculate the greatest common divisor of s and 19.", "a": "19" }, { "q": "Let w = -9 - -6. Let p be 6/9*5 + (-2)/w. Let d(m) = 15*m - 18. Let u be d(p). Calculate the greatest common divisor of 6 and u.", "a": "6" }, { "q": "Suppose -2*r + 15912 - 2172 = -4*z, 0 = -5*r - 2*z + 34362. Calculate the greatest common factor of r and 8.", "a": "8" }, { "q": "Suppose h + 20 = 5*h. Suppose -h*g - 6 = -2*g. Let x be (-23)/(-3) + 3 + g/3. What is the greatest common divisor of x and 5?", "a": "5" }, { "q": "Let g(q) = q - 5. Let r be g(9). Suppose -3*i + 8 = -3*v - r, -3*i + v = -12. Calculate the highest common factor of 3 and i.", "a": "1" }, { "q": "Suppose 0 = -28*o + 7062 + 22. Let h(b) = -b - 4*b - 3 - 6*b**2 - 4 + 0*b**2 - b**3. Let v be h(-6). What is the highest common divisor of o and v?", "a": "23" }, { "q": "Let s be 1695/55 + 4/22. Let i(g) = -55*g**3 - g**2 + g - 1. Let f be i(1). Let o = s - f. What is the greatest common divisor of o and 29?", "a": "29" }, { "q": "Suppose -b + 5*s + 3 - 14 = 0, 2*b + 8 = 3*s. Let p be ((-4032)/(-240))/(b*(-3)/10). What is the highest common factor of 224 and p?", "a": "56" }, { "q": "Suppose -40*u + 71*u = 930. What is the greatest common factor of u and 96?", "a": "6" }, { "q": "Suppose 172*q - 174*q = -5*f - 55, q + 4*f = 34. Calculate the greatest common factor of 135 and q.", "a": "15" }, { "q": "Suppose 1 - 3 = -2*c. Let p be 1/(5/(-6 - -16)). Suppose p*v + 16 - 18 = 0. Calculate the greatest common divisor of c and v.", "a": "1" }, { "q": "Suppose -4*c - 211 = -151. Let y = 125 - c. What is the highest common divisor of 35 and y?", "a": "35" }, { "q": "Let m(k) = k**3 - 2*k**2 - 128*k - 13. Let l be m(-10). Calculate the greatest common factor of 5226 and l.", "a": "67" }, { "q": "Let l(h) = 2*h + 12. Let n(m) = 3*m + 12. Let r(q) = 6*l(q) - 5*n(q). Let j be r(-13). Suppose 34 = 8*u - 7*u. What is the greatest common divisor of j and u?", "a": "17" }, { "q": "Let f be (-9)/(-6)*(-14)/(-3). Let a = 760 - 648. What is the highest common factor of f and a?", "a": "7" }, { "q": "Suppose -w = -5*w + 20. Let t = w - 1. Suppose 36 + 8 = t*d. What is the highest common factor of d and 11?", "a": "11" }, { "q": "Let x(a) = -a**3 + 10*a**2 - 16*a - 1. Let l be x(8). Let f(u) = -26*u**3 + 3*u**2 + 3*u + 1. Let n be f(l). Calculate the highest common divisor of 405 and n.", "a": "27" }, { "q": "Let r = -1185 + 1187. Calculate the highest common divisor of 802 and r.", "a": "2" }, { "q": "Let u be (6585/60)/((-2)/(-8)). Suppose u + 177 = 8*j. Calculate the highest common divisor of j and 33.", "a": "11" }, { "q": "Let v be 4 + 0 + (0 - 0). Suppose -4*a = -3*a + 2*i + 10, 5*i = -v*a - 34. Let t be 37 + a - (4/(-2))/(-2). Calculate the highest common divisor of t and 270.", "a": "30" }, { "q": "Let b(y) = 19*y**2 - 6*y + 20. Let d be b(8). Suppose 8*k + d = 19*k. Calculate the highest common divisor of k and 12.", "a": "12" }, { "q": "Let y = -2043 + 2431. Calculate the greatest common divisor of 97 and y.", "a": "97" }, { "q": "Let d be 365/(-146)*-114*(-1)/(-5). Calculate the greatest common factor of d and 1273.", "a": "19" }, { "q": "Let i be 2 - -21 - (3 - (3 + -1)). Let u(g) = 3*g**2 - 40*g - 218. Let z be u(-7). Calculate the highest common divisor of i and z.", "a": "11" }, { "q": "Let p(h) = -h**3 - 5*h**2 - 2*h + 3. Let x be p(-5). Let u = x + -1. Let l be (-6)/8 + ((-30510)/40)/(-9). What is the greatest common factor of u and l?", "a": "12" }, { "q": "Let j(v) = 326*v**2 - 2*v - 5. Let z be j(1). What is the highest common factor of 377 and z?", "a": "29" }, { "q": "Let i be (-1892)/(-462) - 4 - 4742/(-42). What is the highest common factor of i and 4859?", "a": "113" }, { "q": "Let z(i) = 3*i**2 + 31*i - 54. Let j be z(-14). Let l = 11 - 6. What is the greatest common factor of j and l?", "a": "5" }, { "q": "Suppose 13*i - 11*i - 150 = 0. Let k = -66 + i. Suppose 1 = -f + 37. Calculate the greatest common factor of f and k.", "a": "9" }, { "q": "Let d be (-909)/(-99) + (-4)/22. Suppose -b - d*b = -1120. What is the greatest common divisor of 14 and b?", "a": "14" }, { "q": "Let m be ((4/8)/1)/(2/224). Calculate the greatest common factor of m and 112.", "a": "56" }, { "q": "Suppose -51*l - 2330 = -20331 - 4286. Calculate the greatest common divisor of 57 and l.", "a": "19" }, { "q": "Suppose 0 = -4*d - 5*m - 326, 2*m - 172 = -2*d + 4*d. Let x = 129 + d. What is the highest common factor of 5 and x?", "a": "5" }, { "q": "Suppose -17 = -4*q + 191. Suppose -54*y + q*y + 528 = 0. Calculate the highest common factor of 24 and y.", "a": "24" }, { "q": "Suppose -2*s + s = 57. Let k = 15 - s. Let n be 1 + (1 + 0)*7. Calculate the highest common factor of n and k.", "a": "8" }, { "q": "Let q = 5121 + -4569. What is the highest common divisor of q and 72?", "a": "24" }, { "q": "Suppose 0 = -3*m + s + 339, 7*m = 6*m - s + 117. Let d = m - 65. Calculate the greatest common factor of 28 and d.", "a": "7" }, { "q": "Let v(a) = 2*a + 1. Let n(w) = -5*w - 32. Let q(y) = -n(y) + 3*v(y). Let i be q(23). Calculate the highest common factor of i and 36.", "a": "36" }, { "q": "Let l(z) = 2*z**2 + 31*z + 50. Let i(q) = 5*q**2 + 63*q + 99. Let k(m) = -3*i(m) + 7*l(m). Let s be k(23). Calculate the highest common factor of s and 8.", "a": "8" }, { "q": "Suppose 5*i + 7 - 12 = 0, -2*i + 192 = 5*d. Suppose d*s - 35*s = 3. Let y be 4/6 - (-3)/9. Calculate the greatest common divisor of s and y.", "a": "1" }, { "q": "Let a(h) = -h. Let x(s) = -3*s + 9. Let i(c) = -2*a(c) + x(c). Let p be i(5). Let o be (8 + -1)*((p - 2) + 3). Calculate the highest common factor of 35 and o.", "a": "35" }, { "q": "Let v(z) = 6*z + 112. Let q be v(0). Suppose 3*l - q = 4*r, 230 = 20*l - 15*l + 2*r. What is the greatest common divisor of l and 33?", "a": "11" }, { "q": "Let d be (-94)/6 - (2 - (-8)/(-3)). Let g be 50/(-2 - (-5)/(d/(-9))). Suppose 145 = 5*c - g. What is the greatest common factor of 26 and c?", "a": "13" }, { "q": "Let u(q) = 6*q**2 - 2*q - 4. Let i be u(-4). Suppose -9 = w - z - 2, z = -5*w - 59. Let t be (1 + w)/(8/(-20)). What is the greatest common divisor of t and i?", "a": "25" }, { "q": "Suppose -2*j + 0*j = 6, 0 = 3*r - 4*j - 24. Let v be (3 + (-8)/r)*-33. Let u = v + 63. What is the highest common divisor of u and 90?", "a": "30" }, { "q": "Suppose -14*h + 18 = -8*h. Suppose -35 = -h*o + 5*v, -4*o + 72 - 2 = -2*v. What is the highest common factor of 30 and o?", "a": "10" }, { "q": "Let w(d) = -d**2 - 49*d - 500. Let t be w(-17). What is the greatest common divisor of t and 1782?", "a": "22" }, { "q": "Let f be (2 - (-2382 - -3)) + (-9)/3. What is the greatest common divisor of f and 58?", "a": "58" }, { "q": "Let m be 4/(218810/19890 - 11). What is the greatest common factor of m and 102?", "a": "102" }, { "q": "Let x(c) = c**3 + 31*c**2 + 4*c - 117. Let a be x(-30). Calculate the greatest common divisor of a and 255.", "a": "51" }, { "q": "Suppose -58*r - 669 = -61*r + 3*h, 5*r = 4*h + 1113. What is the greatest common factor of 52 and r?", "a": "13" }, { "q": "Let x be (0 + -128)/(-2 + 1). Let t = 130 - 111. Suppose 16 = 20*b - t*b. Calculate the highest common divisor of b and x.", "a": "16" }, { "q": "Suppose -2452 = -57*k + 37*k + 1448. Let c be 354/9 - 1/3. What is the highest common divisor of c and k?", "a": "39" }, { "q": "Suppose -6088*z + 42 = -6085*z. Calculate the highest common divisor of z and 2.", "a": "2" }, { "q": "Let o = -785 + 936. Calculate the highest common factor of 1057 and o.", "a": "151" }, { "q": "Let x = 2892 - 2881. Calculate the greatest common factor of 451 and x.", "a": "11" }, { "q": "Let f = -76 + 163. What is the greatest common divisor of f and 2204?", "a": "29" }, { "q": "Let y = 76 + -25. Suppose -2*w - 2 = 0, 0*w = -v + 3*w + 62. Let a = v - 42. What is the highest common factor of y and a?", "a": "17" }, { "q": "Suppose -131*k - 1906 = -2*i - 135*k, 2*k = -3*i + 2839. Calculate the highest common divisor of i and 23.", "a": "23" }, { "q": "Let j(n) = 9 - 365*n - 33 + 19. Let h be j(-1). Calculate the greatest common factor of h and 45.", "a": "45" }, { "q": "Let h be 129/258*2*29. Let y = 47 + -14. Suppose 0 = h*d - y*d + 56. Calculate the greatest common divisor of d and 28.", "a": "14" }, { "q": "Let j = 29 + -52. Let t = j + 27. Suppose t*l = 3*l + 11. What is the highest common factor of 1 and l?", "a": "1" }, { "q": "Suppose 2*b - w + 5 = 0, -3*w + 25 = -2*b + 2*w. Suppose -5*n - r - 4*r + 50 = 0, b = 4*r - 8. Calculate the highest common factor of n and 68.", "a": "4" }, { "q": "Let i(q) = q**2 - q + 3. Let j be i(0). Suppose j*b - 55 = 35. Let k = 11513 - 11501. What is the greatest common factor of b and k?", "a": "6" }, { "q": "Suppose v - 32 = -3*v. Suppose 4*f - 194 = 5*h, 3*f - v + 20 = 0. Let s be (-2)/5 + h/(-5). Calculate the highest common divisor of s and 4.", "a": "4" }, { "q": "Let m be 0 + (-44)/(-99) + (-8493)/(-27). Calculate the highest common factor of 455 and m.", "a": "35" }, { "q": "Let u(o) = -o - 1. Let k be u(12). Let m(l) = -l**3 - 12*l**2 - 3*l. Let g be m(k). Let j = g + -46. What is the highest common divisor of 18 and j?", "a": "18" }, { "q": "Let q be -9*(-312)/(-324)*-39. What is the greatest common divisor of 2 and q?", "a": "2" }, { "q": "Suppose -106*j - 8970 + 17315 = -16247. Calculate the highest common factor of 261 and j.", "a": "29" }, { "q": "Let y = 74 + -71. Let m be (y - 57/15)*(-70)/4. What is the greatest common factor of 35 and m?", "a": "7" }, { "q": "Suppose 0 - 10 = -5*s. Suppose s*h = 3*b + 16, 3*b - h + 1 = -10. Let q be (-4)/(-8) + 5/b - -22. What is the highest common divisor of q and 220?", "a": "20" }, { "q": "Suppose 35*n - 2607 = 32*n. What is the greatest common factor of 316 and n?", "a": "79" }, { "q": "Let f(c) = -242*c + 1456. Let y be f(6). Calculate the highest common factor of y and 183.", "a": "1" }, { "q": "Let o(d) = d**3 - 26*d**2 + 93*d - 83. Let w be o(22). Suppose -m + 262 = -170. Calculate the greatest common factor of w and m.", "a": "27" }, { "q": "Let p be 31031/1953 + (-10)/(-9). Calculate the highest common divisor of 1343 and p.", "a": "17" }, { "q": "Let q(c) = -2*c**3 + 64*c**2 + 14*c. Let t be q(32). What is the greatest common factor of 96 and t?", "a": "32" }, { "q": "Suppose 25 = 26*k - 157. Suppose 0*o - 13 = -2*o + f, -3 = -3*f. Let d(w) = w**3 - 6*w**2 - 2*w. Let u be d(o). What is the greatest common factor of k and u?", "a": "7" }, { "q": "Let d(q) = -6*q + 417. Let p be d(66). What is the greatest common factor of p and 75?", "a": "3" }, { "q": "Suppose -5*i = -6*i + 39. Let k be ((-52)/i)/((-6)/441). What is the greatest common factor of 70 and k?", "a": "14" }, { "q": "Let w(r) = 80*r - 21. Let d(q) = -159*q + 43. Let z(y) = -3*d(y) - 5*w(y). Let l be z(2). What is the highest common divisor of l and 39?", "a": "13" }, { "q": "Suppose -15*i + 20*i = 3*j + 2280, 4*i - 4*j - 1824 = 0. What is the highest common divisor of 171 and i?", "a": "57" }, { "q": "Let j(t) = 11*t**2 + 121*t - 36. Let k be j(-12). Calculate the highest common factor of 1280 and k.", "a": "32" }, { "q": "Suppose 5*c - 23 = 4*h + 11, -4 = -h. What is the highest common factor of 230 and c?", "a": "10" }, { "q": "Let m(f) = f**3 + 7*f**2 - 32*f + 101. Let v be m(8). Calculate the greatest common divisor of v and 175.", "a": "35" }, { "q": "Let l be ((-8)/(-7))/(4/14) + 9. Suppose -2*g - 116 = -2*d, l*d - 120 = 11*d + 3*g. What is the greatest common factor of d and 2?", "a": "2" }, { "q": "Suppose 3 + 1 = 2*z. Suppose 33*k - 589 = 52*k. Let g be 4*1 - k/((-186)/(-72)). Calculate the highest common factor of g and z.", "a": "2" }, { "q": "Let t(y) be the first derivative of 16 + 9/2*y**2 + 1/4*y**4 - 10*y - 1/3*y**3. Let n be t(5). Calculate the greatest common divisor of n and 15.", "a": "15" }, { "q": "Let l be 5 - (4 - 6) - 3/3. Let j(z) = -3*z + 32. Let q be j(l). Calculate the greatest common divisor of 42 and q.", "a": "14" }, { "q": "Suppose 36*l = -30*l - 324 + 1908. Calculate the greatest common factor of l and 786.", "a": "6" }, { "q": "Let v = -27 + 52. Suppose -336 + 416 = 16*y. Calculate the greatest common factor of v and y.", "a": "5" }, { "q": "Let b(u) = -u + 1. Let q(v) = 6*v + 13. Let a(g) = 5*b(g) + q(g). Suppose 0 = -4*d - 15 - 1. Let p be a(d). What is the greatest common divisor of p and 98?", "a": "14" }, { "q": "Let v = -226 + 410. Suppose -3*k + v = k. Suppose -2*b - 20 = -k. Calculate the highest common factor of b and 143.", "a": "13" }, { "q": "Let w(d) = -d**2 + 63*d + 645. Let h be w(55). Calculate the greatest common divisor of h and 35.", "a": "35" }, { "q": "Let t(x) = 72*x + 189. Let h be t(0). What is the highest common divisor of 147 and h?", "a": "21" }, { "q": "Let f(h) = 103*h**2 - 63*h + 1. Let v be f(-6). What is the highest common factor of v and 67?", "a": "67" }, { "q": "Suppose -5*u - 12*x = -14*x - 374, -4*x - 368 = -5*u. Calculate the greatest common factor of 40 and u.", "a": "4" }, { "q": "Let n = -50 - -53. Suppose 27 = -3*b - n. Let q be ((-2)/(-8)*2)/(b/(-20)). Calculate the greatest common divisor of q and 9.", "a": "1" }, { "q": "Let q = 3260 - 3196. Calculate the highest common factor of 288 and q.", "a": "32" }, { "q": "Let w = 302 - 146. Let k be (-40*57/(-3990))/((-2)/(-182)). Calculate the highest common divisor of k and w.", "a": "52" }, { "q": "Let n(i) = -7*i + 9*i**2 + 9*i**2 + 9*i**2 + 2 - 16*i**2. Let o be n(3). Suppose 12 = 2*r - 20. Calculate the highest common factor of r and o.", "a": "16" }, { "q": "Suppose r - 5*q + 6 = 49, 3*r + 4*q = 91. Suppose -4820*a + 70 = -4818*a + 4*l, 67 = 2*a + l. Calculate the highest common factor of r and a.", "a": "33" }, { "q": "Let c be 16/(-1)*(760/(-16) - 8). What is the greatest common factor of c and 777?", "a": "111" }, { "q": "Let n = -33 - -58. Let p be 1/16*4 + (-52)/16. Let u(o) = 3*o + 14. Let d be u(p). Calculate the greatest common factor of n and d.", "a": "5" }, { "q": "Let s = -9 + 22. Suppose 4*v - s*v = -405. Calculate the highest common factor of v and 9.", "a": "9" }, { "q": "Let o = 1096 + -1091. Let q be (-501)/(-5) + 1/(-5). What is the greatest common factor of o and q?", "a": "5" }, { "q": "Let f(w) = 66*w**2 + 160*w - 486. Let c be f(3). What is the greatest common divisor of c and 18?", "a": "6" }, { "q": "Suppose 2*k - 67 = -59. Suppose -x + 8 = k*u - 3, -5*x - u = -36. What is the highest common factor of x and 35?", "a": "7" }, { "q": "Let z(n) = n**2 - 29*n - 111. Let j(m) = -m**2 + 16*m - 27. Let p be j(6). Let s be z(p). What is the greatest common factor of s and 168?", "a": "21" }, { "q": "Let m = 240 - 156. Suppose -38*p - 4182 = -5094. Calculate the greatest common divisor of m and p.", "a": "12" }, { "q": "Suppose n = -0*r + 4*r - 44, 3*n + 87 = 3*r. Let b = n + 177. What is the greatest common factor of 17 and b?", "a": "17" }, { "q": "Suppose 12*z - 21068 = 4114 + 23322. What is the greatest common divisor of 94 and z?", "a": "94" }, { "q": "Let v be -8 + (0 + -3)*(-6 - 56/42). Suppose d = -3*d + 896. Calculate the highest common factor of d and v.", "a": "14" }, { "q": "Suppose 5*s + 46 = 5*h + 8*s, -s = -4*h + 30. Suppose 73 - 9 = h*g. Calculate the highest common divisor of 32 and g.", "a": "8" }, { "q": "Let j = -8 - -13. Let q = -160 + 163. Suppose 7*c - 3*c = q*u + 42, -70 = -5*c - j*u. Calculate the greatest common divisor of 12 and c.", "a": "12" }, { "q": "Let k be (-40658)/(-261) + (-4)/(-18). What is the greatest common factor of k and 3354?", "a": "78" }, { "q": "Suppose a - 314*l - 24 = -313*l, 27 = a - 2*l. Calculate the highest common divisor of a and 6258.", "a": "21" }, { "q": "Let d be ((-270)/(-5) + 2)*3. Calculate the highest common divisor of 462 and d.", "a": "42" }, { "q": "Suppose 4*p - 1448 = -2*s, -153*s - 4*p = -148*s - 3590. What is the highest common factor of s and 294?", "a": "42" }, { "q": "Suppose 11 + 11 = 11*g. Let t be 4 + (-10 - -4) + -3. Let o be (t + (-9)/(-3))*-1. What is the greatest common divisor of g and o?", "a": "2" }, { "q": "Suppose -21*w + 216 + 28 = -8. Calculate the greatest common factor of w and 1038.", "a": "6" }, { "q": "Let u be (1 + -3)*(-7 - -5). Suppose 2*l = -2*v - 3*l + 250, -3*l = u*v - 472. Calculate the greatest common divisor of v and 46.", "a": "23" }, { "q": "Let o be 140/30*600/35. Calculate the highest common factor of o and 100.", "a": "20" }, { "q": "Let t(u) = -9*u + 7. Let i be t(-6). Suppose 22*q = 203 + i. What is the greatest common factor of q and 3?", "a": "3" }, { "q": "Let f(g) = g**3 + 13*g + 14*g**2 + g**2 - g**2 + 18*g. Let u be f(-10). Calculate the highest common divisor of u and 36.", "a": "18" }, { "q": "Let j be 8/(-28) - (-452)/14. Let y(r) = -r**2 + 28*r + 33. Let c be y(29). Calculate the greatest common factor of c and j.", "a": "4" }, { "q": "Let p be 24/(-3) + 15 + 2. Let s = -89 + 188. Calculate the highest common factor of s and p.", "a": "9" }, { "q": "Let z(k) = -4*k - 42. Let u be z(-6). Let t be (-2440)/(-90) - (34/u - -2). What is the highest common factor of t and 243?", "a": "27" }, { "q": "Let l = -2050 + 2055. What is the highest common factor of 2795 and l?", "a": "5" }, { "q": "Suppose 1928 = -2*n - c + 4867, 0 = -3*n + c + 4411. What is the greatest common divisor of 15 and n?", "a": "15" }, { "q": "Let w(n) = n**2 + 5*n - 43. Let o be w(4). Let l(a) = 3*a**2 - 8*a - 38. Let k be l(o). Calculate the highest common factor of 15 and k.", "a": "15" }, { "q": "Let f(c) = 16*c**2 - 382*c - 766. Let b be f(-2). Let z(r) = r - 5. Let o be z(7). What is the highest common factor of b and o?", "a": "2" }, { "q": "Suppose 0 = -3*q + 4*m + 45 + 77, m = -2*q + 96. Suppose 0 = c + 3*w - q, -7*c + 6*c + 5*w = -38. What is the greatest common divisor of 344 and c?", "a": "43" }, { "q": "Suppose 3*m + 5*x - 57 = 2*x, -2*x = -10. Let v be (-2 - 1)*(-224)/6. What is the greatest common factor of v and m?", "a": "14" }, { "q": "Let j(o) = 97*o**2 - 58*o - 112. Let a be j(-2). What is the greatest common divisor of 1862 and a?", "a": "98" }, { "q": "Let l = 7094 - 7089. Let z = 133 + -88. What is the greatest common factor of z and l?", "a": "5" }, { "q": "Suppose 4*i - 3*a - 448 = -7*a, -6*i - 5*a = -677. Calculate the highest common factor of 507 and i.", "a": "39" }, { "q": "Let u(i) = 66*i - 1083. Let b be u(19). Calculate the highest common factor of b and 608.", "a": "19" }, { "q": "Suppose -14*z = -11*z - 9. Suppose z*p - y - 37 = 19, y + 37 = 2*p. Calculate the greatest common factor of p and 190.", "a": "19" }, { "q": "Let g(c) = 27*c - 1403. Let t be g(52). Calculate the greatest common factor of 397 and t.", "a": "1" }, { "q": "Let w(z) = z - 22. Let r be w(7). Let y = r - -27. Suppose -2*a - 3*a = -3*u + 46, -5*u + 5*a + 70 = 0. What is the highest common factor of y and u?", "a": "12" }, { "q": "Let y(c) = 22*c + 3. Let g be y(0). Let v be 42 + -2*(5 - g). Calculate the greatest common divisor of v and 19.", "a": "19" }, { "q": "Suppose 19*g - 17 - 68 = 67. What is the greatest common divisor of 4944 and g?", "a": "8" }, { "q": "Suppose z + 9*q - 8*q - 5 = 0, z = -2*q. Let v be 16/z*10/2. Calculate the greatest common divisor of v and 40.", "a": "8" }, { "q": "Let g = 6 + -30. Let l be (2 - -2)/(-4)*(-9 - 123). Let r = g + l. Calculate the highest common divisor of 27 and r.", "a": "27" }, { "q": "Let f = 446 - 318. Suppose 31*i + f = 33*i. What is the highest common factor of i and 112?", "a": "16" }, { "q": "Suppose 29*s - 3*k = 27*s + 1348, s - 667 = -2*k. What is the greatest common factor of 122 and s?", "a": "61" }, { "q": "Let y be -1 + 1 + 0 + 0. Let x(s) = 2*s + 25. Let z be x(y). Suppose -2*h - 4*b - 10 = 0, -2*h - h - 2*b = -5. Calculate the greatest common factor of z and h.", "a": "5" }, { "q": "Let v = 417 - 329. What is the greatest common factor of v and 1342?", "a": "22" }, { "q": "Let v = -3569 - -3632. Calculate the highest common factor of v and 1575.", "a": "63" }, { "q": "Let z be 22 + 7 + (4 - 6). Suppose 4*b - 29 = z. What is the greatest common divisor of 91 and b?", "a": "7" }, { "q": "Let b be ((-19040)/21)/10*(-18)/8. Suppose 290 = 19*s - b. Calculate the highest common divisor of 169 and s.", "a": "13" }, { "q": "Let n(p) = 2*p**3 - 55*p**2 - 23*p + 10. Let v be n(28). Suppose -12*y - 13*y = -v. Suppose -h = -3*h + 18. Calculate the highest common factor of y and h.", "a": "3" }, { "q": "Let d(l) = 2*l**2 + 99*l + 1147. Let z be d(-32). Suppose 5*t = 2*t - 4*p + 6, 0 = -2*t - 2*p + 6. What is the highest common divisor of z and t?", "a": "3" }, { "q": "Suppose -53*i - 12 = -59*i. Suppose i*p = 3*s + 9, -3*p - s + 3*s + 26 = 0. What is the greatest common divisor of 240 and p?", "a": "12" }, { "q": "Let z(i) = -6*i + 15. Let t be 38/(-8) + -2 + (-22)/(-8). Let r be ((-20)/16 - t)/((-1)/4). Let j be z(r). What is the highest common divisor of 9 and j?", "a": "9" }, { "q": "Let k(x) = -19*x - 157. Let s be k(-9). What is the greatest common divisor of 2198 and s?", "a": "14" }, { "q": "Let a be 2/(-9)*-3 + (-466598)/(-501). What is the greatest common divisor of a and 4?", "a": "4" }, { "q": "Let o = 2492 - 2480. Calculate the highest common factor of 99 and o.", "a": "3" }, { "q": "Let y = 166 + -91. Let s = 6547 + -6502. Calculate the greatest common factor of y and s.", "a": "15" }, { "q": "Let s = -322 + 498. Let q(g) = g. Let b be q(5). Suppose -3*r + 6 = y + 2*r, 4*y + b*r = 54. What is the greatest common factor of y and s?", "a": "16" }, { "q": "Let k(v) = -46*v + 2. Let m be k(-1). Let o = m - -36. What is the greatest common divisor of o and 12?", "a": "12" }, { "q": "Let y = 6468 - 6439. Let t = 111 - -150. Calculate the highest common factor of y and t.", "a": "29" }, { "q": "Suppose 30587 + 165301 = 143*h - 11*h. Calculate the highest common divisor of 112 and h.", "a": "28" }, { "q": "Let q = 20 - 40. Let d(o) = -o**2 - 27*o - 41. Let k be d(q). What is the highest common divisor of 33 and k?", "a": "33" }, { "q": "Let t = -38 + 35. Let d be -2 + t/(-2)*-1*2. Let m be d/(-3)*(17 - 2). What is the highest common divisor of 50 and m?", "a": "25" }, { "q": "Suppose -48*x = -59*x + 22. Suppose -2*a - 94 = -4*p + 6, x*p = 2*a + 54. Calculate the highest common factor of p and 92.", "a": "23" }, { "q": "Let s = 2758 - 2719. What is the highest common factor of s and 208?", "a": "13" }, { "q": "Suppose -9*k - 11534 + 41787 = -21101. Calculate the greatest common factor of k and 9.", "a": "9" }, { "q": "Suppose 4*r + 0 = 36. Suppose -1416 = 10*b - 18*b. Suppose -2*i = -2*c + 5*c - 197, -3*i - b = -3*c. What is the highest common factor of r and c?", "a": "9" }, { "q": "Suppose -22*v + 19*v = -81. Let x = -13 + 33. Let z be (-5)/x*(2 + -38). Calculate the highest common divisor of v and z.", "a": "9" }, { "q": "Let f(k) = 57*k + 5. Let p be f(2). Let s be (3 + -2)*(-1)/((-2)/68). What is the greatest common divisor of s and p?", "a": "17" }, { "q": "Let b be 43 + (105/(-33) - (-16)/88). Calculate the highest common divisor of b and 125.", "a": "5" }, { "q": "Let z(u) be the third derivative of -u**6/120 - u**5/30 - 5*u**4/24 - u**3/2 + 2*u**2 + 35. Let m be z(-1). What is the greatest common factor of m and 2?", "a": "1" }, { "q": "Suppose -5*u - 9*f = -115, -32 + 57 = -5*f. Calculate the greatest common divisor of 74 and u.", "a": "2" }, { "q": "Let u = -4 + 9. Let h(w) = w**2 - 20*w + 226. Let q be h(12). Calculate the highest common factor of q and u.", "a": "5" }, { "q": "Let r(o) = -o**3 + 8*o**2 + 8*o + 13. Let w be r(9). Let g be w/14 - (-5)/7 - -239. Calculate the highest common factor of g and 32.", "a": "16" }, { "q": "Suppose 4*z = 4*o - 212, -9*o + 6*o + 5*z = -157. Let f = -556 + 799. What is the highest common factor of f and o?", "a": "27" }, { "q": "Let b = 88 + -86. Suppose 0*o = -4*o + b*q + 412, 5*o = -4*q + 502. What is the highest common divisor of o and 68?", "a": "34" }, { "q": "Suppose -n + 395 = -34. Suppose 0 = -8*g + 5*g + n. Suppose 14*f - 56 - 126 = 0. Calculate the greatest common factor of g and f.", "a": "13" }, { "q": "Let g = 2 - -14. Let m(o) = o**3 + 6*o**2 + 9*o + 6. Let p be m(-4). Suppose -z + 3*u - 1 = 0, 0*u = -2*u + p. Calculate the greatest common factor of g and z.", "a": "2" }, { "q": "Suppose 5*l + 175 = 10*l. Let t(v) = 80*v + 10. Let q be t(7). Let o = 885 - q. Calculate the greatest common divisor of l and o.", "a": "35" }, { "q": "Suppose -j - 7 = -n + 8, 5*n - j - 63 = 0. Let d be 9/(-3) + 954/(-18). Let l be 54/(((-2)/(-3))/(d/(-126))). Calculate the highest common divisor of l and n.", "a": "12" }, { "q": "Let k be 72/270 + (-168)/(-45). What is the highest common divisor of k and 109?", "a": "1" }, { "q": "Let l(i) be the first derivative of 5*i**2/2 + 51*i - 61. Let r be l(-7). What is the greatest common factor of r and 16?", "a": "16" }, { "q": "Suppose 1266*v - 1269*v + 2540 = -5*n, 3*n = 2*v - 1692. What is the greatest common divisor of v and 735?", "a": "105" }, { "q": "Suppose 5*i + 3*o = 31, 0*o - 4*o - 17 = -5*i. Suppose 191 = 2*h - 3*g - 48, -i*h = 2*g - 569. Let s = 60 - 37. Calculate the greatest common factor of h and s.", "a": "23" }, { "q": "Let p = 868 + -854. Let g = -30 + 18. Let l = g + p. What is the greatest common factor of 10 and l?", "a": "2" }, { "q": "Suppose 0 = 53*c + 6*c - 178239. Calculate the greatest common divisor of c and 19.", "a": "19" }, { "q": "Suppose 26 = 2*d + 3*f, 4*f + 24 = d - 0*d. Let t be ((-9)/12)/(1/(-148)). Let b be t - 2 - (-4 + 1). What is the highest common factor of d and b?", "a": "16" }, { "q": "Suppose -4*z + 4*b = z - 868, -5*b = 4*z - 678. Suppose 0 = 2*g - z - 66. Calculate the highest common factor of g and 17.", "a": "17" }, { "q": "Suppose -6*i + 3215 = -5*i. Let r be -2 - i/(-30) - (-2)/(-12). Let j = -4 + 39. What is the greatest common factor of j and r?", "a": "35" }, { "q": "Let i be 64968/40 + -1*(-7)/(-35). What is the highest common factor of i and 8?", "a": "8" }, { "q": "Suppose 3*f = -3*o + 3 - 9, 18 = 3*f - 3*o. Suppose t + 2*x = -17, f = -t - 5*x - 3. Let s = -23 - t. What is the highest common factor of 2 and s?", "a": "2" }, { "q": "Suppose 99*v + 13497 + 14217 = 248*v. What is the greatest common factor of v and 93?", "a": "93" }, { "q": "Let a be (-2016)/60*1830/18*6/(-4). Calculate the greatest common factor of 84 and a.", "a": "84" }, { "q": "Let g be (18 - 11)/(2/37)*(-4 - -14). What is the highest common divisor of 70 and g?", "a": "35" }, { "q": "Suppose -3*w + 82 + 77 = 0. Let l = 65 - w. Calculate the highest common divisor of l and 12.", "a": "12" }, { "q": "Let v be ((8/(-32))/(1/(-844)))/1. Let u be (-242)/(-2) - (4 + -4). Let r = v - u. What is the greatest common factor of 36 and r?", "a": "18" }, { "q": "Suppose g - 4*l = 208, 4*g + 9*l - 804 = 11*l. Let v(k) = 3*k - 1. Let u be v(3). Calculate the greatest common factor of u and g.", "a": "8" }, { "q": "Let s = 1589 + -1331. Calculate the highest common factor of 1462 and s.", "a": "86" }, { "q": "Suppose 4*j = -3*h - h + 12, 12 = 4*j + 5*h. Suppose 2*a = 2*v - 5*v + 258, -j*a + 5*v + 368 = 0. What is the greatest common divisor of a and 14?", "a": "14" }, { "q": "Let x = -4544 - -4664. Calculate the highest common divisor of x and 192.", "a": "24" }, { "q": "Let i = -37 + 85. Suppose 12 = 2*g + 2*g. Suppose -f - 2*j + 2 = g*j, 5*j = -3*f + 26. What is the highest common divisor of i and f?", "a": "12" }, { "q": "Suppose -3*y - 46 = -i - 1107, 377 = y - 5*i. Calculate the greatest common factor of 64 and y.", "a": "32" }, { "q": "Let c = -241 - -230. Let a be c/((-11)/6) + (10 - 6). What is the greatest common divisor of 90 and a?", "a": "10" }, { "q": "Let o be 4/(-142) + (-86765)/(-2627). Let m be (-1 - 2/(-3))*-51. Let w be (-4)/10 + m/5. Calculate the highest common factor of w and o.", "a": "3" }, { "q": "Let a(i) = 4*i**3 - i**2 + 2*i - 2. Let m be a(1). Suppose m*b = 1309 - 511. What is the greatest common factor of b and 38?", "a": "38" }, { "q": "Let j be (3/(-5))/((-13)/65). Let o = j - 1. Calculate the highest common divisor of o and 32.", "a": "2" }, { "q": "Let z(m) = -13*m**2 - 91*m + 24. Let b be z(-6). Calculate the greatest common divisor of 1326 and b.", "a": "102" }, { "q": "Let c be (5/(-3))/(-1*50/90). What is the highest common factor of c and 92?", "a": "1" }, { "q": "Suppose 15906 = -16*d + 38946. Suppose -151*p + 156*p = d. What is the greatest common divisor of 9 and p?", "a": "9" }, { "q": "Let h = 34 - 46. Let m be 291/12 + 3/h. Suppose -101 - m = -5*l. What is the highest common factor of 125 and l?", "a": "25" }, { "q": "Suppose 3*a + 5*u = 41, 2*a = 4*u - 2*u + 22. Suppose a*s = 34*s - 44. What is the greatest common divisor of 14 and s?", "a": "2" }, { "q": "Let f be (-2 - -6 - 0)/2. Let x = 3 - f. Let a be 5/(-15)*-3 + 0. What is the greatest common factor of a and x?", "a": "1" }, { "q": "Let k be 2*((-2)/(-5) + (-3609)/(-90)). What is the highest common divisor of 1 and k?", "a": "1" }, { "q": "Let t be 17 - 3*1/3. Let o be (-18)/(-63) - (-4)/(-14). Suppose o*w + 3*w - 1 = -z, t = -2*w - 4*z. Calculate the highest common factor of 5 and w.", "a": "1" }, { "q": "Let f = -3085 + 3097. What is the highest common divisor of 290 and f?", "a": "2" }, { "q": "Let b = 14 - 2. Let j be (-876)/(-54) - (1 + 21/(-27)). Suppose -j*l = -14*l - 168. What is the highest common divisor of b and l?", "a": "12" }, { "q": "Let h(f) = -f**3 - 2*f**2 + 23*f - 15. Let t be h(-9). Let g = -338 + t. Let o(z) = 78*z**2 - z. Let c be o(1). What is the greatest common divisor of c and g?", "a": "7" }, { "q": "Let b = 588 - 349. Suppose 0 = -5*j - 4*m + 660, 4*j + m = b + 289. What is the greatest common divisor of j and 12?", "a": "12" }, { "q": "Let j = 1431 + -1271. Suppose 3*y + 5*m - m - 75 = 0, 2*y - 3*m - 50 = 0. Let s = j - y. Calculate the greatest common divisor of 15 and s.", "a": "15" }, { "q": "Let t be -2*14/(-4) + -374 + 2607. What is the highest common factor of 42 and t?", "a": "14" }, { "q": "Suppose 0 = -7*l - 2*l + 324. Suppose -43*j + l*j = -896. What is the greatest common factor of j and 4?", "a": "4" }, { "q": "Let l be (-32550)/45*(-12)/10. Let a = -260 + l. Suppose -1688 = -5*x - a. Calculate the greatest common divisor of x and 24.", "a": "24" }, { "q": "Let p(v) = v**2 + 20*v - 99. Let q be p(13). Calculate the greatest common divisor of 275 and q.", "a": "55" }, { "q": "Let o be (140 + -1 - -1) + 3. Suppose -3*m + 6 = 0, 2*h - 548 + 502 = -m. What is the greatest common factor of h and o?", "a": "11" }, { "q": "Let o = -4441 - -4486. What is the highest common factor of 1125 and o?", "a": "45" }, { "q": "Let d(f) = -f**3 + 5*f**2 + 9. Let u(y) = -7*y - 6. Let h be u(-3). Suppose h = 4*o - o. Let x be d(o). Calculate the highest common divisor of x and 27.", "a": "9" }, { "q": "Let u = 3851 + -3770. Calculate the greatest common divisor of u and 18.", "a": "9" }, { "q": "Suppose 198*c + 1332 = 202*c. What is the highest common factor of 74 and c?", "a": "37" }, { "q": "Let i = 3163 - 3118. Calculate the greatest common divisor of 7605 and i.", "a": "45" }, { "q": "Let g(z) = 56*z - 447. Let p be g(17). Calculate the highest common divisor of 5 and p.", "a": "5" }, { "q": "Suppose -42 - 50 = -2*f + 5*g, -3*f + 180 = 3*g. Let i = -18 - -46. Calculate the greatest common factor of f and i.", "a": "28" }, { "q": "Suppose 190 = 45*d - 35*d. Suppose 0 = -d*z + 12*z + 63. What is the highest common factor of 12 and z?", "a": "3" }, { "q": "Let x be 356 + 5 + 0*(-6)/12. What is the greatest common divisor of 38 and x?", "a": "19" }, { "q": "Suppose -4*i + 411 = -5*i. Let s = -28 - 63. Let b = s - i. Calculate the highest common factor of b and 32.", "a": "32" }, { "q": "Suppose 13*x = 167 + 197. Calculate the greatest common factor of x and 140.", "a": "28" }, { "q": "Let j = 2 + -2. Let w = -1480 - -1477. Let c be 0 + w + j + 0 + 12. Calculate the highest common factor of 18 and c.", "a": "9" }, { "q": "Let o(y) = -11156 + 2*y + 11156 + 15*y**2. Let a be o(-5). Calculate the highest common divisor of 73 and a.", "a": "73" }, { "q": "Let n be 9/((-27)/15) + 159. What is the greatest common factor of n and 253?", "a": "11" }, { "q": "Let z be (-8382)/(-21) - 72/(-84). Calculate the greatest common factor of 420 and z.", "a": "20" }, { "q": "Let h = -2189 - -2227. What is the greatest common factor of h and 2?", "a": "2" }, { "q": "Let b(p) = 33*p + 12. Let t be b(4). Suppose 2*q = -4*h + 3*q + 62, 6 = h - 5*q. What is the greatest common divisor of t and h?", "a": "16" }, { "q": "Let f be (-11)/((-55)/(-30)) - -4 - -179. Let s = -147 + f. What is the highest common factor of 120 and s?", "a": "30" }, { "q": "Let t = 158 + -110. Let j = -2267 - -2331. Calculate the greatest common factor of t and j.", "a": "16" }, { "q": "Let s(f) = -8*f**2 + 10*f - 9. Let d be s(4). Let g = d - -113. What is the greatest common factor of 80 and g?", "a": "16" }, { "q": "Let x(j) = 18 - 13*j**2 - 11*j**2 + 28*j**2 + 3*j. Let p be x(-3). Calculate the highest common divisor of p and 60.", "a": "15" }, { "q": "Let u(i) = 320*i - 1734. Let o be u(6). What is the highest common divisor of 62 and o?", "a": "62" }, { "q": "Let r be 4/14*(15 + (-30)/(-5)). Let q be (r - 190/20)/(1/(-38)). Calculate the highest common divisor of q and 38.", "a": "19" }, { "q": "Suppose -35*v + 65025 = -11*v + 61*v. What is the greatest common divisor of v and 595?", "a": "85" }, { "q": "Let x be (11/((-220)/120))/(-1 - 0). Calculate the highest common factor of 378 and x.", "a": "6" }, { "q": "Let i be (-760)/(-171) + (-4)/9. Suppose o + 237 = i*n - 87, -4*o = 2*n - 144. Suppose -m = 2*m - 30. Calculate the highest common divisor of m and n.", "a": "10" }, { "q": "Let v = 246 - 127. Let i = v + -63. Suppose -i = -15*c + 11*c. What is the greatest common factor of 112 and c?", "a": "14" }, { "q": "Suppose 5*p - 14 = 16. Let o = -146 - -156. Suppose -122 + 2 = -o*s. What is the highest common divisor of p and s?", "a": "6" }, { "q": "Let z be (-2 - 5/((-100)/(-192)))*-5. What is the greatest common divisor of z and 2?", "a": "2" }, { "q": "Let w = -74 - -74. Suppose w*s + 195 = 3*s. Calculate the highest common divisor of 26 and s.", "a": "13" }, { "q": "Let n(v) = -4*v + 19. Let h be n(-4). Suppose -3*m = h - 398. What is the greatest common divisor of m and 11?", "a": "11" }, { "q": "Let t be 30/25 + (-4720)/(-25). What is the greatest common divisor of t and 323?", "a": "19" }, { "q": "Let a be (2/(-2))/(13/1651). Let z = a - -147. Calculate the highest common divisor of z and 4.", "a": "4" }, { "q": "Let v = 1450 + -1336. Calculate the greatest common divisor of v and 57.", "a": "57" }, { "q": "Suppose 171 = -934*d + 953*d. What is the greatest common factor of d and 222?", "a": "3" }, { "q": "Suppose 0 = -z + 5*o - 4*o + 35, 0 = -2*o + 10. Let l(j) = j**2 + 15*j - 24. Let w be l(-17). Calculate the highest common factor of w and z.", "a": "10" }, { "q": "Suppose -7*o + 147 = 42. Let i be 2 - (6 - (3 + 1)). Let f be 15/25*(i + 5). What is the highest common divisor of f and o?", "a": "3" }, { "q": "Let g = -7 + 10. Suppose -v - 22 = -4*y, -42 = 6*v - v - g*y. Let c be 2 + 1/3 + v/(-9). Calculate the greatest common factor of 3 and c.", "a": "3" }, { "q": "Let p be ((-30)/(-4))/((-6)/88). Let h be ((-36)/(-10))/(2 + 219/p). Calculate the highest common factor of 44 and h.", "a": "44" }, { "q": "Suppose p - 2 = 3*t - 6, 2*t = -5*p + 14. Let m = t - -25. Let x be 2090/11 + 25 + -26. What is the greatest common factor of x and m?", "a": "27" }, { "q": "Suppose 9*x = 2*x + 21. Let q(m) = -m + 5 - 8*m**2 - m**x + 6*m + 8*m. Let k be q(-10). Calculate the greatest common divisor of 25 and k.", "a": "25" }, { "q": "Let b be 2/(-1 - (-3 + 0))*-219. Let u = b + 277. Calculate the highest common divisor of 87 and u.", "a": "29" }, { "q": "Let i(r) = -r**3 + 5*r**2 + 34*r - 25. Let j be i(8). What is the greatest common factor of j and 1111?", "a": "11" }, { "q": "Let q = 285 + 78. Suppose 11*p - q = 8*p. Suppose a - 2*y = -4*y + 15, -y = 2*a - 24. Calculate the greatest common factor of a and p.", "a": "11" }, { "q": "Suppose 17*o + 72 = 35*o. Suppose -9*p = -7*p + o*k - 288, -2*k + 4 = 0. Let u be 0 - 0 - -10*2. What is the greatest common divisor of u and p?", "a": "20" }, { "q": "Let n(r) = -39*r + 277. Let a be n(3). What is the greatest common factor of 310 and a?", "a": "10" }, { "q": "Suppose s = -2*s - 5*s. Suppose 4*m + 2*o - 48 = s, -m + o = -11 - 7. Calculate the highest common divisor of m and 126.", "a": "14" }, { "q": "Suppose -173 = 5*x + 22. Let h = 16 - x. Suppose 7*z - 12*z + h = 0. Calculate the greatest common divisor of z and 11.", "a": "11" }, { "q": "Suppose 20 = -2*z + 4*b, -5*b + 0*b - 125 = 5*z. Let a = 17 + z. Let p be (5 + a)/(-2) + 7. Calculate the greatest common factor of p and 6.", "a": "6" }, { "q": "Suppose 5*a = 12 + 48. Let v(w) = 16*w**2 + 4*w**3 + 2 - 15*w**2 - 2*w**2 + 0 - 2*w. Let s be v(1). What is the greatest common divisor of s and a?", "a": "3" }, { "q": "Let a be (-36)/(314/1148 - 3/(105/10)). What is the greatest common factor of a and 72?", "a": "72" }, { "q": "Suppose 15*x = 14*x + 256. Let s be (-114)/(-8) - (-8)/(x/(-8)). What is the highest common divisor of 182 and s?", "a": "14" }, { "q": "Suppose -4*z - 430 = -5*c, -342*c + 65 = -341*c - 5*z. Calculate the greatest common divisor of 290 and c.", "a": "10" }, { "q": "Suppose 5*l - 2*c + 5 = -17, 6 = -2*l - 2*c. Let q = 14 - l. Suppose 0 = -q*y + 21*y - 840. What is the greatest common divisor of 35 and y?", "a": "35" }, { "q": "Suppose -195 = -30*a + 285. What is the highest common divisor of 31 and a?", "a": "1" }, { "q": "Suppose -660 = -576*n + 573*n. Calculate the greatest common factor of n and 495.", "a": "55" }, { "q": "Let a = -43 - -59. Let r be (10/40)/(1/a). Suppose -r*m + 151 = -281. Calculate the greatest common factor of 12 and m.", "a": "12" }, { "q": "Let i be (2/2)/(6/30). Let j be (2/i)/((-2)/(-20)). Suppose 0 = -o + 4*s + 54, -j*o - 6*s + 2*s = -156. What is the highest common divisor of 6 and o?", "a": "6" }, { "q": "Suppose 3*t = 4*t, -3*q + 192 = q + 5*t. Calculate the highest common factor of q and 372.", "a": "12" }, { "q": "Let x(c) = 28*c - 62. Let t be x(6). What is the greatest common divisor of t and 159?", "a": "53" }, { "q": "Let x be (-8 - -4)/((-1)/3). Suppose x*r - 176 = r. Calculate the greatest common factor of 272 and r.", "a": "16" }, { "q": "Suppose -5*w = -21*t + 25*t - 377, -2*t + w = -199. What is the greatest common factor of t and 1421?", "a": "49" }, { "q": "Let k be -6 - 29/(348/(-2232)). What is the greatest common factor of 250 and k?", "a": "10" }, { "q": "Suppose 6*c - 972 = -54. Suppose 3*y - 3*d = 153, 3*y - 2*d = -5*d + c. What is the highest common divisor of 561 and y?", "a": "51" }, { "q": "Let u be (0/(-2) + -1)/((-2)/1978). Calculate the greatest common divisor of 86 and u.", "a": "43" }, { "q": "Suppose 557*z - 546*z = 6831. What is the highest common factor of z and 135?", "a": "27" }, { "q": "Let k(b) = 6*b + 143. Let r be k(-23). Let g be r/30 + 2441/6. What is the highest common factor of g and 37?", "a": "37" }, { "q": "Let u be (-33 - 1)/(12/6). Let w(x) = -3*x - 12. Let r be w(u). Suppose 6*o + r = 111. What is the highest common divisor of o and 60?", "a": "12" }, { "q": "Suppose -2*k - 4*w + 200 = 0, 4*k - 2*w - 317 = 73. Calculate the greatest common factor of 1568 and k.", "a": "98" }, { "q": "Suppose -32 = -w - 5. Let f be ((-175)/4 + -5)*4. Let x = f - -204. Calculate the greatest common factor of w and x.", "a": "9" }, { "q": "Suppose 0 = -c - 66 + 180. Suppose -8*j = -10*j - c. Let p be ((-2)/(8/4))/(-1) - j. What is the highest common divisor of 87 and p?", "a": "29" }, { "q": "Suppose -j + 5*k = -0*k - 269, k = 5*j - 1417. Let v = -529 - -600. What is the greatest common divisor of j and v?", "a": "71" }, { "q": "Suppose 5*g - y - 109 = 2*y, -g - 2*y = -27. Let c = g + -18. Suppose -c*z = -20 - 60. What is the greatest common divisor of 32 and z?", "a": "16" }, { "q": "Suppose -48*c + 26*c - 546 = -24*c. Calculate the greatest common divisor of c and 21.", "a": "21" }, { "q": "Suppose 4*q = -3*z + 93, -2*q + z + z = -50. Let y = -303 - -735. What is the greatest common factor of q and y?", "a": "24" }, { "q": "Let c(t) = -2*t - 16*t**3 - 4 + 15*t**3 - t**2 - 4*t + 9*t**2. Let v be c(6). Let q be (0 - -2)*(42 - 2). Calculate the greatest common factor of v and q.", "a": "16" }, { "q": "Let l be 1826535/255 + (-6)/(-51). What is the greatest common divisor of 13 and l?", "a": "13" }, { "q": "Let b = -78 + 82. Let w(f) = 74*f - 17. Let a be w(b). Calculate the highest common factor of 31 and a.", "a": "31" }, { "q": "Let k = -4183 - -4950. What is the highest common factor of k and 118?", "a": "59" }, { "q": "Let w = 122 + -120. Let h = 5 + w. Calculate the greatest common divisor of 63 and h.", "a": "7" }, { "q": "Let c = -113 - -118. Let x be (-2)/(-5) - ((-108)/c)/6. Suppose 0 = -0*h - 2*h + 32. What is the highest common factor of x and h?", "a": "4" }, { "q": "Suppose 0 = 5*z + 2*m - 530 - 556, -m + 435 = 2*z. Let a = 293 - z. What is the highest common factor of a and 7?", "a": "7" }, { "q": "Let u(b) = -b**3 + 9*b**2 - 2. Let q be u(9). Let r be ((-8)/(-12))/((-4)/27)*q. Suppose 81 = 3*d - r. Calculate the greatest common divisor of 20 and d.", "a": "10" }, { "q": "Suppose 23*m = 18*m + 1285. Let z = -145 + m. Calculate the greatest common divisor of z and 14.", "a": "14" }, { "q": "Let z(h) = h. Let v(c) = 14*c + 60. Let s(l) = -v(l) + 6*z(l). Let y be s(-12). Calculate the greatest common factor of y and 63.", "a": "9" }, { "q": "Let x = 1172 - 906. Calculate the highest common factor of 238 and x.", "a": "14" }, { "q": "Suppose -3*y + 328 = -2*g, -5*y - 5*g = -3*y - 225. Let o = 403 + -393. Calculate the highest common divisor of o and y.", "a": "10" }, { "q": "Suppose -5*i = w - 125, -11 + 8 = i. Calculate the highest common factor of 190 and w.", "a": "10" }, { "q": "Suppose 0 = -58*f + 62*f - 12. Suppose -3*i = -6 - f. Let a = 11 - i. What is the highest common factor of 40 and a?", "a": "8" }, { "q": "Let i = 136 - -560. Calculate the greatest common divisor of i and 40.", "a": "8" }, { "q": "Suppose 3*q + 161 = 4*j, j + 2*j = -3*q + 126. Let o be (-9)/(-12) - ((-918)/(-8))/(-3). Let g = j - o. What is the greatest common factor of g and 18?", "a": "2" }, { "q": "Let q(z) = 121*z - 708. Let t be q(6). Calculate the highest common divisor of 1233 and t.", "a": "9" }, { "q": "Let j be 1/(12/(-51))*(13 - 33). What is the greatest common factor of 45 and j?", "a": "5" }, { "q": "Suppose 15*b - 12*b = -4*d + 58, d = 4*b - 90. What is the greatest common divisor of b and 10736?", "a": "22" }, { "q": "Let r be (-2)/13 + 280/130. Suppose 5*m = 4*f + 104, f = -f - r. Calculate the highest common divisor of m and 50.", "a": "10" }, { "q": "Suppose -11*b + 390 - 159 = 0. Let s = 22 + -6. Suppose s*u = b*u - 385. Calculate the greatest common factor of u and 11.", "a": "11" }, { "q": "Suppose 2*v + 2*p - 6*p + 56 = 0, 4*v + 5*p + 60 = 0. Let c = v + 37. Suppose 4*h = c + 31. What is the greatest common divisor of h and 12?", "a": "12" }, { "q": "Suppose 0 = 3*v + d - 3599, -v + 127*d + 1202 = 125*d. What is the greatest common divisor of 75 and v?", "a": "75" }, { "q": "Let k(l) = -2*l**2 + 3*l**2 + 1 - l - 6 + 3. Let y be k(5). What is the highest common factor of y and 27?", "a": "9" }, { "q": "Suppose 0 = -v + 3*a + 31 - 6, 3*a = -6. Suppose 8 = 7*h - 3*h. Let n be h/(-9) - (-23980)/180. Calculate the greatest common factor of n and v.", "a": "19" }, { "q": "Let f(i) = i**3 - 8*i**2 - 16*i + 236. Let r be f(8). Let k(u) = u**2 - u + 4. Let g be k(5). What is the greatest common divisor of g and r?", "a": "12" }, { "q": "Suppose -f + 20 = 5*j, f = 3*j + 3*f - 5. Suppose 13*d - 11*d = 0. Suppose j*p = -d*p + 45. What is the greatest common divisor of 9 and p?", "a": "9" }, { "q": "Let k = 4314 - 4256. Calculate the highest common factor of 5858 and k.", "a": "58" }, { "q": "Let v = -91 - -127. Let s = -7214 + 7340. What is the highest common factor of s and v?", "a": "18" }, { "q": "Let b = -39 + 41. Let z be b*9/24*-4. Let f be 25*(-4 + z + 8). Calculate the highest common divisor of 5 and f.", "a": "5" }, { "q": "Suppose 4*l - 5*x - 259 = -6*x, -3*l = -4*x - 180. What is the highest common factor of l and 164?", "a": "4" }, { "q": "Let q be ((-37)/2)/((-9)/(-234)). Let r = -211 - q. What is the highest common factor of r and 30?", "a": "30" }, { "q": "Let g(t) = t**3 - 2*t**2 - 2*t - 3. Let l be g(4). Suppose 4*k + 296 = 5*n, -5*k = 2*n - 94 + 2. Calculate the greatest common divisor of l and n.", "a": "7" }, { "q": "Suppose z + 240358 = 37*z + 3118. Calculate the greatest common factor of 10 and z.", "a": "10" }, { "q": "Let m = 34 - 34. Let w(y) = y**2 - 3*y + 56. Let t be w(m). Let x = 45 - 31. Calculate the greatest common factor of x and t.", "a": "14" }, { "q": "Let r = 2526 - 2488. Suppose 0 = -y - 1, 0 = -4*k - y + 5 + 146. What is the highest common factor of r and k?", "a": "38" }, { "q": "Suppose 19*u - 11158 + 2226 = -3*u. Calculate the greatest common factor of u and 870.", "a": "58" }, { "q": "Suppose -5*x + 13*x = -152. Let y = x + 21. Suppose -k - 9 = -4*k. What is the highest common factor of y and k?", "a": "1" }, { "q": "Suppose -5*k + 2*v = -71, -k + 27 = 5*v + 2. Suppose 5*q - k = -0*q. Suppose 0 = 2*y - q*y + 143. What is the highest common divisor of y and 13?", "a": "13" }, { "q": "Let c = 4302 - 4262. What is the highest common factor of 1880 and c?", "a": "40" }, { "q": "Suppose -k + 5*a + 5 = 0, a + 25 = k + 4*k. Suppose -k*w + 7*w = 104. What is the highest common divisor of w and 65?", "a": "13" }, { "q": "Suppose 0 = -c + 57 - 37. Calculate the highest common factor of c and 35.", "a": "5" }, { "q": "Suppose 1123 = 38*o - 1651. Calculate the greatest common divisor of 6570 and o.", "a": "73" }, { "q": "Let a(h) = 2*h + 20. Let b be a(-7). Let n be (-2660)/52 - (-3)/(117/b). Let c be -10*(n/5 - 18/(-6)). What is the greatest common factor of c and 8?", "a": "8" }, { "q": "Suppose 5*l = -2*t + 2004, -l = -6*t + 198 - 586. What is the greatest common factor of 1040 and l?", "a": "80" }, { "q": "Let o be (39/(-3))/(2/(-10)). Let s be 56/(-84)*(94/(-4) - (-2 + -2)). Calculate the greatest common factor of o and s.", "a": "13" }, { "q": "Suppose 4*p + 8 - 20 = 0. Let v(j) = -3*j + 24. Let a(o) = 3*o**2 + 5*o + 5. Let h be a(-2). Let z be v(h). Calculate the highest common divisor of p and z.", "a": "3" }, { "q": "Suppose 82*z - 75*z = 1274. What is the greatest common factor of 78 and z?", "a": "26" }, { "q": "Let r be (1 + 0)/((58/36)/29). Let g(v) = -20*v**3 - v**2 + 2*v + 1. Let d be g(-1). What is the greatest common divisor of d and r?", "a": "18" }, { "q": "Let v(w) = 4*w - 66. Suppose -3*t - 3*d = -39, -5*t + 49 = 2*d - 28. Let c be v(t). What is the greatest common divisor of 16 and c?", "a": "2" }, { "q": "Let z be 105/63 - (-4)/(-6). Let b be 31 + (8 - 16) + (z - 1). What is the highest common factor of 368 and b?", "a": "23" }, { "q": "Let j be 6/(-21) + 920/35. Suppose -34*b - 5070 = -49*b. Calculate the highest common factor of j and b.", "a": "26" }, { "q": "Let k be -2*(3 + -3 + 8). Let c be 128/9 + k/72. Suppose 0 = -3*f - 4*s + 210, -2*f - 4*s + 7*s + 140 = 0. Calculate the greatest common factor of f and c.", "a": "14" }, { "q": "Let w = -8 - -28. Suppose 18 = -3*h + 297. Let d = h - 73. What is the greatest common divisor of w and d?", "a": "20" }, { "q": "Let x be (5 + 2521)/6 + 6. Calculate the highest common factor of x and 366.", "a": "61" }, { "q": "Suppose 0 = -45*i + 6704 + 917 + 659. What is the greatest common divisor of 1518 and i?", "a": "46" }, { "q": "Let p = 2108 - 2027. Calculate the highest common factor of 6 and p.", "a": "3" }, { "q": "Suppose -16*o + 144 = 8*o. Suppose -3*v + 4*n = -148, n = 5 - o. Calculate the greatest common divisor of v and 64.", "a": "16" }, { "q": "Suppose -17*t + 21*t = 172. Let d(b) = -b**3 - 19*b**2 + 7*b - 88. Let h be d(-20). What is the highest common factor of h and t?", "a": "43" }, { "q": "Suppose 113 - 302 = 3*a. Let q = a + 123. Calculate the greatest common divisor of q and 240.", "a": "60" }, { "q": "Suppose 11*y - 10*y - 1 = 0. Let i be ((-14)/y)/((-11)/11). Let p = 19 - i. What is the greatest common factor of p and 25?", "a": "5" }, { "q": "Suppose 0 = -75*m + 32*m + 1505. Suppose 0 = 5*s + c - 877, 3*s - c = -s + 698. Calculate the highest common divisor of m and s.", "a": "35" }, { "q": "Suppose -101*k - 2575 = -105*k + 3*d, 1275 = 2*k + d. Calculate the highest common divisor of 120 and k.", "a": "40" }, { "q": "Let i(p) = p**2 + 24*p + 317. Let c be i(-8). Let k be ((-7)/1)/((-1)/1). Calculate the highest common divisor of c and k.", "a": "7" }, { "q": "Let l(y) = y**3 + 7*y**2 - 8*y + 2. Let m be l(-7). Let d = -26 + m. Let r = 44 - d. Calculate the highest common factor of r and 6.", "a": "6" }, { "q": "Let d be (112/14 - -14)/((-4)/(-146)). What is the highest common factor of d and 55?", "a": "11" }, { "q": "Let c = 4074 - 3879. Calculate the greatest common factor of c and 135.", "a": "15" }, { "q": "Let x(f) = 70*f**2 - 4*f + 3. Let s be x(1). Suppose 205 - s = 2*u. What is the highest common divisor of u and 170?", "a": "34" }, { "q": "Let g be (-5)/((-38)/(-703) - 164/296). Let o = 623 - 253. Calculate the greatest common factor of o and g.", "a": "10" }, { "q": "Let t = -1829 + 1894. Calculate the greatest common factor of t and 1313.", "a": "13" }, { "q": "Let v(x) = -x**2 + 6*x + 5. Let o be v(6). Suppose o*c + 6*w - 4 = 3*w, -4*c + 4 = 2*w. Suppose -c*j - 1 = -13. What is the greatest common factor of 4 and j?", "a": "2" }, { "q": "Let u(w) = 5*w - 11*w + 13*w - 54. Let g be u(15). What is the highest common factor of g and 459?", "a": "51" }, { "q": "Let d = -34 + 36. Suppose 0 = -4*x + 3*q + 12, 5*x - d*q = q + 12. Suppose v - 4*t = 1, x = -v + 3*t + 5. What is the highest common factor of v and 136?", "a": "17" }, { "q": "Suppose -7*p - 2040 = -13*p - 9*p. Calculate the greatest common factor of p and 442.", "a": "34" }, { "q": "Suppose 688 + 960 = 3*r + s, -r = -5*s - 576. Calculate the highest common factor of 133 and r.", "a": "19" }, { "q": "Suppose 10*p = 30*p - 7400. Calculate the highest common factor of 333 and p.", "a": "37" }, { "q": "Suppose -3*g = 11*r - 6*r - 597, -4*g = 5*r - 596. What is the highest common divisor of 560 and r?", "a": "40" }, { "q": "Suppose 0 = 3*j - 280 - 65. Suppose -2*d + 259 + j = 0. What is the greatest common divisor of d and 11?", "a": "11" }, { "q": "Let a(i) = -2*i**2 - 9 + 14 - 5*i + 29 + 31. Let g be a(0). Calculate the greatest common divisor of g and 130.", "a": "65" }, { "q": "Let o(b) = 4*b + 22. Let z be o(-5). Let q be (z + -3)/((-4)/480). What is the highest common factor of 6 and q?", "a": "6" }, { "q": "Let x(g) = 68*g**3 + 6*g**2 + 9*g - 48. Let b be x(3). Calculate the greatest common divisor of 42 and b.", "a": "21" }, { "q": "Let m(z) = -2*z. Let p be m(-2). Let g be (108/(-42))/(9/(-168)). Suppose 3*r - g = -3*r. Calculate the highest common factor of p and r.", "a": "4" }, { "q": "Let i be -4*((-441)/24 + 45/120). What is the highest common divisor of 3420 and i?", "a": "36" }, { "q": "Let o = 43 - -95. Suppose -23*q = -26*q + o. Calculate the highest common divisor of 46 and q.", "a": "46" }, { "q": "Suppose 3*o - 500 = v, 55*o - 5*v - 190 = 54*o. What is the highest common divisor of o and 285?", "a": "15" }, { "q": "Suppose 27*p + 14*p + 1315 = 31163. Calculate the highest common divisor of 224 and p.", "a": "56" }, { "q": "Let i(a) = a - 4. Let o be i(0). Let l be (3/(-6))/(o/16). Suppose -l*n = -6*n + d + 180, -5*n + 3*d = -225. Calculate the greatest common factor of 9 and n.", "a": "9" }, { "q": "Let u be (-24)/(-14)*35/10. Let n be -64*((-3)/u)/(2/3). Let c be (6/5)/((-2)/(-10)). What is the highest common factor of c and n?", "a": "6" }, { "q": "Suppose 5*s + 5*a - 70 = 0, -4*a - 96 = -0*s - 4*s. Let y be 106 - (16 - (-23 + 9)). Calculate the highest common divisor of y and s.", "a": "19" }, { "q": "Let q(s) = s**3 - 7*s**2 + s. Let m be 2 - 2*5*90/(-25). Let j = 45 - m. Let k be q(j). Calculate the greatest common divisor of k and 35.", "a": "7" }, { "q": "Let s(p) = -137*p + 330. Let d be s(2). What is the highest common factor of 8 and d?", "a": "8" }, { "q": "Let t = -7 - -7. Suppose 2*w - 26 = -t*a - 3*a, 4*w = 3*a - 2. Let p(v) = v**3 + v**2 - 35*v + 66. Let x be p(0). What is the greatest common factor of a and x?", "a": "6" }, { "q": "Let p be 104*(87/319)/(4/11). What is the greatest common divisor of 204 and p?", "a": "6" }, { "q": "Suppose -5*q + 186 = -5*x - 324, 3*x = 2*q - 208. Calculate the greatest common divisor of q and 406.", "a": "14" }, { "q": "Suppose 15*s - 9*s = 5994. Let y be (-24)/5*(s/(-18) + 3). What is the greatest common factor of 28 and y?", "a": "28" }, { "q": "Suppose -15*b - 2*z - 142 = -17*b, 3*b = -z + 217. What is the highest common divisor of b and 99?", "a": "9" }, { "q": "Suppose 16*h + 60 = 300. Calculate the greatest common divisor of 255 and h.", "a": "15" }, { "q": "Let q = 1031 - 87. Calculate the greatest common factor of q and 295.", "a": "59" }, { "q": "Let y = -387 + 397. Suppose -z + 201 = 2*z. Let h = z + 3. What is the highest common divisor of y and h?", "a": "10" }, { "q": "Let w(l) = -74*l + 19. Let u be w(-3). Let d = 361 - u. Let z(h) = -4*h - 9. Let a be z(-6). What is the greatest common divisor of a and d?", "a": "15" }, { "q": "Let o be (-41)/(-3) + (-2)/3. Let a(r) = -r**3 + 29*r**2 - 26*r - 53. Let f be a(28). Suppose -s = -o + f. Calculate the highest common factor of s and 30.", "a": "10" }, { "q": "Let p = 20 + -18. Suppose -3*n - 3*g + 4*g = -47, -3*n + 49 = -p*g. Let a be 54*(50/n + -3). What is the greatest common divisor of a and 6?", "a": "6" }, { "q": "Suppose 0 = -1805*h + 1801*h + 32. What is the greatest common factor of 4560 and h?", "a": "8" }, { "q": "Let y = -42 - -78. Suppose -4*b - u = -790, -4*u + 986 = 5*b - 2*u. Calculate the highest common factor of y and b.", "a": "18" }, { "q": "Let y(w) = w**3 + 6*w**2 - 60*w - 357. Let x be y(-6). Calculate the greatest common factor of x and 651.", "a": "3" }, { "q": "Let x(h) = h + 3. Let r be x(-1). Let b be r/(3*8/36). Let t be 77 + 3 - 1/(1/b). What is the greatest common divisor of 7 and t?", "a": "7" }, { "q": "Let n(v) = 310*v - 4. Let q(h) = 207*h - 3. Let a(s) = -5*n(s) + 7*q(s). Let x be a(1). Let z = 192 + x. Calculate the greatest common factor of 36 and z.", "a": "18" }, { "q": "Suppose 0 = 13*k + 232 - 700. Calculate the highest common factor of 258 and k.", "a": "6" }, { "q": "Let d(q) = -19*q - 63. Let i = -196 + 183. Let o be d(i). Calculate the greatest common factor of o and 23.", "a": "23" }, { "q": "Let p = -267 - -287. Suppose -4*y + 81 + 199 = 0. Calculate the greatest common divisor of y and p.", "a": "10" }, { "q": "Suppose -42 = -4*u - 4*o + 30, -2*o - 174 = -13*u. Calculate the highest common factor of 1358 and u.", "a": "14" }, { "q": "Let z be 0 + 1 + 1 + 2. Let n(v) = 3*v**2 - 3*v - 8. Let j be (-30)/4 + 4 - (-4)/8. Let w be n(j). Calculate the greatest common divisor of z and w.", "a": "4" }, { "q": "Let c(w) = w**2 - 40*w + 422. Let a be c(18). Calculate the highest common factor of 64 and a.", "a": "2" }, { "q": "Let a(s) = 4*s**2 - 33*s - 12. Let t be a(9). Calculate the greatest common factor of 81 and t.", "a": "3" }, { "q": "Let c = 9 - 0. Suppose -2*o + 19 = c. Let a(h) = -h**2 + 6*h + 9. Let r be a(o). Calculate the highest common divisor of 154 and r.", "a": "14" }, { "q": "Suppose 10*v + 5*v - 1502 - 2548 = 0. What is the greatest common factor of 54 and v?", "a": "54" }, { "q": "Let i(b) = 3*b + 45. Suppose -6*t + 72 = 6*t. Let w be i(t). Calculate the highest common divisor of w and 7.", "a": "7" }, { "q": "Suppose 2*z = -2*k - 4, -2*z - 2 = 3*z + k. Suppose 3*o = -z*o - 4*n + 10, 5*o = -4*n + 30. What is the highest common divisor of 10 and o?", "a": "10" }, { "q": "Let q(o) = -7*o - 35. Let r be q(-5). Suppose r = -3*m + 15, -2*j - 4*m + 239 + 141 = 0. Calculate the greatest common divisor of 72 and j.", "a": "36" }, { "q": "Suppose 5*u - b - 596 = b, -3*u + 364 = 2*b. Let d be -5 + 2 + (-52)/(-2). Suppose -u = -25*x + d*x. Calculate the highest common divisor of 12 and x.", "a": "12" }, { "q": "Let i = -2155 + 2187. Let c(m) = 4*m - 16. Let a be c(12). Calculate the highest common factor of a and i.", "a": "32" }, { "q": "Let a = -2299 - -3565. What is the highest common divisor of 6 and a?", "a": "6" }, { "q": "Let j(s) = -s + 5. Let h be j(-3). Let t(n) = 27*n + 11*n - 6*n. Let d be t(2). What is the highest common divisor of d and h?", "a": "8" }, { "q": "Suppose 0 = -2*o + 82 + 88. Let r(h) = h**2 - 9*h - 5. Let d be r(11). Suppose -y = -0*y - d. Calculate the highest common divisor of o and y.", "a": "17" }, { "q": "Suppose 0 = 30*n - 33*n + 210. Let k(x) = 3*x**2 - 2*x. Let z be k(2). Let h = 2 + z. Calculate the highest common divisor of h and n.", "a": "10" }, { "q": "Let l(h) = 9*h**2 - 135*h + 120. Let b be l(15). Calculate the greatest common divisor of 384 and b.", "a": "24" }, { "q": "Let r be (2/1)/(0 - -2). Let k(l) = 7*l**2 - 19*l. Let t be k(6). Let x = t - 131. Calculate the greatest common divisor of r and x.", "a": "1" }, { "q": "Suppose -6*t + 54 - 144 = 0. Let m(q) = -q**3 - 14*q**2 + 13*q - 2. Let j be m(t). What is the highest common factor of j and 1?", "a": "1" }, { "q": "Let j = 4220 + -4170. Calculate the greatest common divisor of j and 2575.", "a": "25" }, { "q": "Let l be (-1)/2 - 45/(-18). Suppose -1 = -c + l. Suppose c*z - 255 = 768. Calculate the greatest common factor of z and 31.", "a": "31" }, { "q": "Let l = -204 + 164. Let b be ((-22)/(-5))/((l/25)/(-8)). What is the greatest common factor of b and 396?", "a": "22" }, { "q": "Suppose -5*c = 4*l - 10*c - 14, l - 12 = -3*c. Suppose -l*z + 65 = -127. What is the highest common divisor of z and 40?", "a": "8" }, { "q": "Suppose -20 = 181*z - 182*z. Let r be 28/z - 1 - (-1493)/5. What is the greatest common factor of 23 and r?", "a": "23" }, { "q": "Let s be (69/(-1))/(3 - ((-410)/(-135))/1). Calculate the greatest common divisor of s and 46.", "a": "23" }, { "q": "Let x = 2588 - 2343. What is the highest common divisor of 833 and x?", "a": "49" }, { "q": "Suppose 32538 = 149*i - 62*i. What is the greatest common divisor of 493 and i?", "a": "17" }, { "q": "Let o be 12/(-9)*(-8 - 67). What is the greatest common divisor of 80 and o?", "a": "20" }, { "q": "Let s(g) = 61*g**2 + 202*g - 33. Let x be s(-14). Calculate the greatest common divisor of 85 and x.", "a": "85" }, { "q": "Let c be (-216)/(-144) + 138/4. Let u be 51 + -4 + (-1 - -2). What is the greatest common divisor of c and u?", "a": "12" }, { "q": "Suppose -217*y + 431*y = 215*y - 190. What is the greatest common divisor of 50 and y?", "a": "10" }, { "q": "Suppose -3*r - 2*w + 904 = 0, 2*r + 45*w = 40*w + 610. Calculate the greatest common factor of r and 540.", "a": "60" }, { "q": "Let d = -4795 + 4804. Calculate the greatest common divisor of 549 and d.", "a": "9" }, { "q": "Let m be (-1968)/(-84) + 12/21. Suppose 0 = -8*i + m. What is the highest common factor of i and 24?", "a": "3" }, { "q": "Suppose -4*k = -3*j - 202, 3*k - j - 95 = 54. Calculate the highest common divisor of 518 and k.", "a": "7" }, { "q": "Suppose 75*g = 15*g + 62700. What is the greatest common divisor of 10 and g?", "a": "5" }, { "q": "Let b(w) = -2*w + 1. Let a be b(-5). Let d = -8 - -116. Let m be 1/3*(6 - d/(-4)). Calculate the highest common factor of a and m.", "a": "11" }, { "q": "Let u = -305 - -307. Calculate the greatest common factor of u and 184.", "a": "2" }, { "q": "Suppose j + 4*j = 5*s + 125, -j + 2*s = -28. Let m = 13 + -11. Suppose -m*o + 110 = -o. What is the highest common divisor of j and o?", "a": "22" }, { "q": "Suppose -8*g + 33643 = 120*g - 13589. Calculate the highest common divisor of 45 and g.", "a": "9" }, { "q": "Suppose 60*z - 3*m = 59*z + 30, -4*z + 3*m + 120 = 0. Let a(w) = -w**2 + 16*w - 13. Let v be a(9). What is the greatest common divisor of z and v?", "a": "10" }, { "q": "Let t(u) = 5*u**3 + 3*u - 1. Let q be t(2). Let i(l) be the second derivative of l**3 + 30*l. Let k be i(5). Calculate the greatest common factor of q and k.", "a": "15" }, { "q": "Let h be (-12)/18 - 2959/(-33). What is the greatest common divisor of 6319 and h?", "a": "89" }, { "q": "Let n(r) = 87*r - 386. Let w be n(5). What is the greatest common factor of 8477 and w?", "a": "49" }, { "q": "Let f(w) = 2*w**3 + 2*w**2 - 2*w + 1. Let v be f(2). Let k = 946 + -943. Calculate the greatest common divisor of k and v.", "a": "3" }, { "q": "Let y = 24 + -21. Suppose 5*h - 4*q - 120 = 70, q + 121 = y*h. Calculate the highest common divisor of h and 3.", "a": "3" }, { "q": "Suppose -l - 36 = -10*l. Suppose 0*d + 4 = -l*d. Let k be d - (0 - 51) - 2. What is the greatest common divisor of 24 and k?", "a": "24" }, { "q": "Let p = 11 + -5. Suppose -6*q = -q, 2*q = y + p. Let r = y - -33. Calculate the highest common factor of r and 18.", "a": "9" }, { "q": "Let z = 1042 - 586. Suppose 346 = -2*a + z. Calculate the greatest common factor of 11 and a.", "a": "11" }, { "q": "Let o be (-1249)/(-4) + (-13)/52. Let k be -6 + o/54 - (-1154)/9. Calculate the greatest common divisor of k and 8.", "a": "8" }, { "q": "Let v = 3079 + -3023. What is the greatest common factor of v and 378?", "a": "14" }, { "q": "Suppose -7*w - 6*w = 780. Let m be (-3 + (-5)/(-15))*w. What is the highest common factor of m and 20?", "a": "20" }, { "q": "Let h = -4634 + 4744. Calculate the greatest common divisor of h and 95.", "a": "5" }, { "q": "Let z(u) = -u**3 - 8*u**2 - 8*u + 4. Let i be z(-7). Let s = 9 + i. Let w(f) = -7*f - 6. Let p be w(-8). Calculate the highest common divisor of p and s.", "a": "10" }, { "q": "Suppose 0 = -24*z + 14*z + 2540. Let n = z - 229. Suppose 0 = -3*w + 387 + 438. What is the highest common divisor of w and n?", "a": "25" }, { "q": "Let n(z) = -z**3 + 7*z**2 - z - 9. Let r = 10 - 7. Let p be (r/(-9) + 0)*-18. Let g be n(p). Calculate the greatest common factor of g and 189.", "a": "21" }, { "q": "Let f = -4199 + 4233. What is the greatest common divisor of f and 901?", "a": "17" }, { "q": "Let q = -142 - -220. Let z = -8 - -23. Let d be 3 + -2 + -3 + z. Calculate the highest common factor of d and q.", "a": "13" }, { "q": "Suppose -5*v + 5684 = 3*g, -4*v = -5*g + 9445 - 21. Calculate the greatest common divisor of 32 and g.", "a": "32" }, { "q": "Let s be (-6383)/(-5) + 237/(-395). What is the highest common factor of 66 and s?", "a": "22" }, { "q": "Let g be (-4)/16 - (-617)/4. What is the greatest common divisor of 418 and g?", "a": "22" }, { "q": "Let k(x) = 17*x - 572. Let j be k(36). What is the greatest common divisor of j and 168?", "a": "8" }, { "q": "Let g(p) = -p**3 + 39*p**2 + 39*p - 22. Let l be g(34). What is the greatest common factor of 22 and l?", "a": "22" }, { "q": "Suppose 81*u - 86*u + 21185 = 0. What is the highest common divisor of 19 and u?", "a": "19" }, { "q": "Suppose -14*l = -11*l. Suppose l*d = -4*d + 56. Calculate the greatest common factor of d and 182.", "a": "14" }, { "q": "Let h be 14875/(-357)*(-18)/5. What is the greatest common divisor of h and 650?", "a": "50" }, { "q": "Let g(a) = -2*a**3 - 3*a**2 + 1. Let v be g(-2). Suppose 0 = 3*p - v*p - 4. Let d = p + 74. Calculate the highest common divisor of d and 8.", "a": "8" }, { "q": "Let k be (18/10)/(((-7)/(-90))/((-861)/(-369))). What is the greatest common divisor of k and 348?", "a": "6" }, { "q": "Suppose -5*y = -4*h + 24, 0 = y + h + h + 2. Let q be (-4 + 2)/(2/y*1). Suppose 11*t - 48 = -q. Calculate the greatest common divisor of 4 and t.", "a": "4" }, { "q": "Suppose -2*p - 65 = -3*u + 147, -u - 5*p + 65 = 0. Let j(b) = -b**2 + 35*b - 10. Let t be j(33). Calculate the highest common factor of t and u.", "a": "14" }, { "q": "Let t = -1128 + 2109. Suppose -5*x + 974 = -t. Calculate the greatest common factor of 23 and x.", "a": "23" }, { "q": "Let s(a) = 14*a**3 + a - 1. Let y be s(1). Let d = 1098 + -482. Suppose 2*n + d = 13*n. Calculate the highest common divisor of n and y.", "a": "14" }, { "q": "Let m(c) = -47*c**2 - 44*c**2 - 13*c**3 - 4*c + 4*c**3 + 89*c**2. Let i be m(-2). What is the highest common factor of i and 108?", "a": "36" }, { "q": "Let q(a) = -78*a - 52. Let y be q(-1). Suppose -6*z - 3*s = -4*z - 379, -z + 187 = s. Calculate the greatest common factor of z and y.", "a": "26" }, { "q": "Let i be -4 + (-7)/(14/342). Let n = -22 - i. Calculate the greatest common factor of 9 and n.", "a": "9" }, { "q": "Let m be (155*2 - -2)/1. Let o = 1758 + -1734. Calculate the highest common divisor of o and m.", "a": "24" }, { "q": "Let t = -1841 + 1883. Let f = -31 - -45. Suppose v + v = f. What is the highest common divisor of t and v?", "a": "7" }, { "q": "Suppose -2*w + 8*r + 82 = 3*r, 0 = 2*w + 4*r - 64. Let z be (-1614)/(-30) - (-3 - 14/(-5)). Calculate the greatest common divisor of w and z.", "a": "18" }, { "q": "Suppose 5*s - 230 = -760. Let b = s - -282. Calculate the greatest common factor of 16 and b.", "a": "16" }, { "q": "Suppose 0 = 132*i - 107832 - 1464. What is the highest common divisor of i and 4?", "a": "4" }, { "q": "Let n(s) = 24*s - 3. Let m be n(3). Let v = 55844 + -55841. Calculate the highest common divisor of v and m.", "a": "3" }, { "q": "Let q be ((-605)/(-44) - 11)*96. Let o be (-1 - 1)*10/(-4). Suppose o*g + r - 1 = 123, -88 = -4*g + 2*r. What is the greatest common factor of g and q?", "a": "24" }, { "q": "Let r(a) = -a**2 - 11*a - 9. Suppose -11 = 3*c + 13. Let q be r(c). Let g = 470 + -410. What is the highest common factor of g and q?", "a": "15" }, { "q": "Let v(l) = -3*l**3 + 41*l**2 + 4*l**3 - 38*l**2 - 8 - 12*l. Let j be v(-4). What is the highest common divisor of j and 40?", "a": "8" }, { "q": "Let q = -28 - -32. Suppose q*u = 92 + 28. Calculate the highest common factor of 80 and u.", "a": "10" }, { "q": "Let b be (7 + -1)*((-119)/(-21) - 5). Let f be ((-64)/(-40))/(4/110). What is the highest common factor of b and f?", "a": "4" }, { "q": "Let k be ((-3)/2)/((-6)/(-32)). Let w = 14 - k. Suppose -2*i - 4*b = -300, 481*i - 3*b = 483*i - 302. Calculate the highest common divisor of w and i.", "a": "22" }, { "q": "Suppose 3*n + 9*n = 884 + 712. What is the highest common divisor of 19 and n?", "a": "19" }, { "q": "Suppose -2*s + 2*k + 54 = 0, s - 27 = -3*k - k. Let v be (-1456)/(-9) + 6/s. What is the greatest common factor of v and 18?", "a": "18" }, { "q": "Let w(a) = 106*a + 1914. Let p be w(-14). Calculate the greatest common divisor of 10 and p.", "a": "10" }, { "q": "Suppose -152*c + 36*c = -31552. Let p be (-2 + 1)/(2/(-32)). What is the highest common factor of c and p?", "a": "16" }, { "q": "Suppose -3*h + h + 4 = 0. Suppose -3*j + 5 = -h*j. Let y be 6 - ((-1)/4 - (152/32 + -9)). What is the highest common factor of y and j?", "a": "1" }, { "q": "Suppose -4*t = -5*o + 3, -2 = -3*t + 2*o + 1. Suppose t*c = -r + 22, -4*r = 2*c + 2*c - 104. Calculate the highest common factor of 16 and r.", "a": "4" }, { "q": "Let o(w) = w**3 - 12*w**2 + 13*w - 61. Let m be o(12). Calculate the highest common factor of m and 40.", "a": "5" }, { "q": "Suppose -7311 = -20*u - 5930 + 8159. What is the greatest common divisor of u and 265?", "a": "53" }, { "q": "Let u(b) = b**3 - 17*b**2 + 16*b - 36. Let f be u(15). Let x = -233 - f. Calculate the greatest common divisor of x and 78.", "a": "13" }, { "q": "Suppose 0 = 17*l - 8233 - 1304. What is the highest common divisor of l and 2057?", "a": "187" }, { "q": "Let y(f) = 2*f**2 + f + 1. Let q be y(3). Let c = 424 + -339. Let t = c - q. What is the highest common factor of t and 9?", "a": "9" }, { "q": "Let q be ((-510)/119)/((-24)/112). Calculate the highest common divisor of 216 and q.", "a": "4" }, { "q": "Suppose 5*p = 4*p - 3*t - 6, 3*t = -6. Let u be (p - 1)*(-116)/4. Let j be (-87)/(-2)*(-4)/(-6). Calculate the highest common factor of u and j.", "a": "29" }, { "q": "Let l(d) = d**3 + 7 + 2*d**2 - 7*d**2 + d**2 - 4*d. Let x = -279 - -284. Let w be l(x). What is the greatest common factor of 24 and w?", "a": "12" }, { "q": "Let r be (1 + 29)*(-15)/(-9). Suppose -55*s + 62*s = 0. Suppose -10 = -g - s*g. Calculate the highest common divisor of r and g.", "a": "10" }, { "q": "Let y be (-1)/4 - 548/(-16). Suppose -2*d + 4*h - 6 = -24, y = 5*d + h. Suppose -240 = 5*f - d*f. Calculate the highest common factor of f and 24.", "a": "24" }, { "q": "Let a(p) = 6*p**2 - 507*p - 31. Let m be a(85). Calculate the greatest common divisor of m and 252.", "a": "28" }, { "q": "Suppose j - 5 = 0, -4*j + 177 = 2*v - 3499. What is the greatest common factor of 4 and v?", "a": "4" }, { "q": "Let x(o) = 7*o - 108. Let b(v) = -6*v - 34. Let y be b(-9). Let n be x(y). Calculate the highest common factor of n and 24.", "a": "8" }, { "q": "Suppose -2*p - 3*n + 211 = 0, 3*p + 5*n - 853 = -535. Calculate the highest common divisor of p and 1.", "a": "1" }, { "q": "Suppose 64 - 16 = 2*w. Suppose 0 = 2*z + s - 218 - 112, 0 = 3*z - 5*s - 495. Suppose z = -21*o + w*o. Calculate the greatest common divisor of o and 22.", "a": "11" }, { "q": "Suppose a = 28 + 34. Let v = -293 - -975. What is the greatest common factor of a and v?", "a": "62" }, { "q": "Suppose 12*f - 10291 = -1446 + 13463. What is the highest common factor of f and 22?", "a": "11" }, { "q": "Suppose -t - n + 298 = 0, -n - 584 = 25*t - 27*t. Calculate the highest common factor of 1568 and t.", "a": "98" }, { "q": "Let k be 12/(-2) - ((7 - 9)/2 + -497). Calculate the highest common factor of 24 and k.", "a": "12" }, { "q": "Let j = 1569 - 1033. What is the highest common factor of j and 469?", "a": "67" }, { "q": "Suppose 26*w - 658 = 6*w - 38. What is the highest common divisor of 2449 and w?", "a": "31" }, { "q": "Suppose 0 = -29*p + 27*p + 4. Suppose -p*o + 2*i + i + 155 = 0, 3*o - 261 = -5*i. Calculate the greatest common factor of o and 41.", "a": "41" }, { "q": "Let t(s) = 2*s**3 - 3*s**2 - 1. Let j be t(3). Let d be (-3)/2*(-4 - -5 - (-899)/(-93)). Calculate the highest common factor of j and d.", "a": "13" }, { "q": "Suppose 0 = 2*o - 4*s - 546 + 54, 4*s - 1272 = -5*o. Let d be (2 - 14/6)/(22/(-2376)). What is the greatest common divisor of o and d?", "a": "36" }, { "q": "Suppose -21*g + 26*g = 5*q + 270, 5*q + 10 = 0. Calculate the highest common factor of g and 2756.", "a": "52" }, { "q": "Suppose o + 2*b - 136 = 0, -861*o + 5*b = -862*o + 151. Calculate the greatest common factor of o and 36.", "a": "18" }, { "q": "Let l = 49 - 29. Let g = -930 - -649. Let j = -141 - g. Calculate the greatest common factor of l and j.", "a": "20" }, { "q": "Let u be 18*4*((-94)/(-104) - (-100)/(-650)). What is the greatest common factor of u and 2322?", "a": "54" }, { "q": "Let q be ((-3)/(-1))/(1/2). Let r = 340 + -330. Let d = r - q. Calculate the greatest common divisor of d and 10.", "a": "2" }, { "q": "Suppose 0 = -2*i + a + 97, 0 = 2*i + 3*a - 2*a - 91. Suppose 0 = -0*h - h + 329. Calculate the highest common divisor of h and i.", "a": "47" }, { "q": "Suppose -19541 = 41*d - 133234. What is the highest common divisor of 59 and d?", "a": "59" }, { "q": "Suppose -28 = 4*n - 8, z - 5*n = 271. Calculate the highest common divisor of 48 and z.", "a": "6" }, { "q": "Let a be 16/((-29)/1015*-28). Let t(k) = -k**2 + 6*k - 2. Let w be t(5). Suppose -w*q = -146 - 4. Calculate the greatest common factor of q and a.", "a": "10" }, { "q": "Let l be ((-20)/50)/(2/(-2740)). Let v = l - 324. Calculate the greatest common divisor of v and 16.", "a": "16" }, { "q": "Let v(d) = -46*d - 161. Let h be v(-4). What is the greatest common factor of 1357 and h?", "a": "23" }, { "q": "Suppose 26 = 3*m - 10*z + 8*z, 5*m - 45 = 3*z. What is the highest common factor of 669 and m?", "a": "3" }, { "q": "Suppose 0*x - 2*x + 32 = 0. Let q = 118 - 41. Suppose -115 = -4*u + q. What is the highest common divisor of u and x?", "a": "16" }, { "q": "Let d = -4 - -4. Suppose d*a + 9 = 2*a + i, -3*i + 17 = a. Let c be (-20)/(2*(a + -3)) + -2. What is the highest common divisor of c and 88?", "a": "8" }, { "q": "Suppose -29*k + 10*k + 2486 + 1105 = 0. Calculate the highest common divisor of k and 18.", "a": "9" }, { "q": "Let d be (-1 - -246)*((-13)/(-130) + (-3)/(-30)). Let m = 33 - 19. What is the greatest common factor of m and d?", "a": "7" }, { "q": "Let b be (-351)/(-52) - -4 - (-1)/4. Calculate the highest common divisor of b and 44.", "a": "11" }, { "q": "Let i be (-3888)/(-64) + 0 + 9/(-12). What is the highest common factor of 940 and i?", "a": "20" }, { "q": "Suppose -2*t - 15 = -123. Let k be 0*((-5)/(-2))/5*1. Let v(c) = c**3 - c**2 - 2*c + 6. Let y be v(k). Calculate the greatest common factor of t and y.", "a": "6" }, { "q": "Let h be (41 + -40)/(1 + (-45)/48). What is the greatest common divisor of h and 1208?", "a": "8" }, { "q": "Suppose l - 2*l + 222 = 0. Suppose -5*z + 278 = -4*h, 0 = 4*z + h - 4*h - l. What is the greatest common divisor of z and 18?", "a": "18" }, { "q": "Let g be (-4)/(-38) - (2/2 - (-3813)/(-57)). What is the highest common divisor of g and 2607?", "a": "33" }, { "q": "Let w = 57 - 15. Suppose 0 = c + 5*m - 37, 4 = -3*m + 1. What is the highest common divisor of c and w?", "a": "42" }, { "q": "Let c(g) = g**3 + 7*g**2 + g - 5. Let v(k) = -12*k**3 + 2 - 2*k - 1 + 13*k**3. Let n be v(-2). Let a be c(n). What is the highest common divisor of 42 and a?", "a": "14" }, { "q": "Let l be 4/6 - 284/(-6). Suppose 0 = -4*d + y - 3*y + 104, 3*d - 3*y - 96 = 0. Suppose -2*j + d = 4. What is the greatest common factor of j and l?", "a": "12" }, { "q": "Let w(k) = 2*k**2 + 6*k - 8. Let j be w(-6). Let u = j + -64. Let m be u/60*(0 + -45). Calculate the greatest common divisor of 108 and m.", "a": "27" }, { "q": "Let u be (12 - (-1815)/5)*(-8)/(-10). Calculate the greatest common factor of u and 12.", "a": "12" }, { "q": "Let j = 1158 + -472. Calculate the highest common divisor of j and 1.", "a": "1" }, { "q": "Let y be (-2)/(-4)*(130 + -2). Let w be (-4750)/(-16) - ((-8)/y)/1. Calculate the greatest common divisor of 27 and w.", "a": "27" }, { "q": "Suppose -7*b - 9 = -4*b, -4*i - 3*b + 11127 = 0. Calculate the highest common divisor of 192 and i.", "a": "96" }, { "q": "Suppose 5*i + 3673 = 3*r + 7*i, 2*r = -4*i + 2462. Let k = r - 766. Calculate the highest common factor of 65 and k.", "a": "65" }, { "q": "Let v(z) = z**2 + 25*z + 501. Let a be v(-30). What is the highest common factor of a and 155?", "a": "31" }, { "q": "Let r = -33 - -18. Let p be 3/r - 588/(-15). Let w = 56 - p. What is the highest common divisor of w and 85?", "a": "17" }, { "q": "Suppose 3*d = 4*h - 2623, -113 = -h - d + 534. What is the greatest common factor of 1467 and h?", "a": "163" }, { "q": "Let b = -36 + 111. Let i(q) be the first derivative of q**3/3 + q**2 + 15*q - 33. Let f be i(0). Calculate the highest common divisor of f and b.", "a": "15" }, { "q": "Let n(g) = -17*g + 259. Let s be n(9). Suppose -2*l + 39 = -x - 62, l = -4*x + 73. What is the highest common factor of s and l?", "a": "53" }, { "q": "Suppose 12 = 4*d - 7*x + 9*x, 5*d - x - 15 = 0. Suppose -d*m - 5 + 11 = 0. What is the greatest common divisor of 11 and m?", "a": "1" }, { "q": "Let t be (-2 - (-36)/14)*7. Suppose 0 = t*u - 5*u. Suppose 2*z - 4*k = z + 81, u = 5*z + 4*k - 429. What is the highest common divisor of 34 and z?", "a": "17" }, { "q": "Let f(j) = -46*j + 601. Let u be f(11). Calculate the highest common divisor of 1615 and u.", "a": "95" }, { "q": "Let r = -609 + 744. Calculate the highest common factor of r and 24.", "a": "3" }, { "q": "Let m = -4850 + 6194. Calculate the greatest common factor of 24 and m.", "a": "24" }, { "q": "Let k = 190 + -102. Let z = k - 57. Let p = z - 21. What is the greatest common divisor of 40 and p?", "a": "10" }, { "q": "Let r be ((-300)/(-55))/(3/22). What is the highest common factor of r and 15?", "a": "5" }, { "q": "Suppose 24 + 102 = 7*j. Let g(i) = i**2 + 5*i - 5. Let r be g(2). Suppose r*h - 6*h - 36 = 0. Calculate the greatest common divisor of h and j.", "a": "6" }, { "q": "Suppose 2*o - 14 = -i + 8, 0 = -2*o - 10. Let x be (2/16)/(4/i). Calculate the greatest common factor of x and 7.", "a": "1" }, { "q": "Let j be (-5504)/(-32) - (5 + -1). Suppose j = -3*o + 9*o. Calculate the highest common divisor of 2 and o.", "a": "2" }, { "q": "Let i = 931 - 652. What is the highest common factor of 1581 and i?", "a": "93" }, { "q": "Suppose 0 = -4*p - 5*s + 4 + 129, 2*p - 3*s - 61 = 0. Let b(n) = n**2 - 17*n + 50. Let u be b(19). Calculate the highest common divisor of p and u.", "a": "8" }, { "q": "Let i be ((-105)/14 - -7) + 931/38. Suppose -4*g + 145 = -95. What is the greatest common factor of i and g?", "a": "12" }, { "q": "Suppose 0 = -n - 3*z - 11, -8 = 3*z + 7. Suppose -n*w + 5*w + 21 = 0. Let v be (1 + -4 + w/(-6))*84. Calculate the greatest common factor of v and 7.", "a": "7" }, { "q": "Let z(i) = i**3 + 23*i**2 - 65*i - 245. Let t be z(-25). Calculate the greatest common divisor of t and 4.", "a": "2" }, { "q": "Suppose 2*a + 2*m - 2958 = 0, 420*a + 5884 = 424*a - 4*m. What is the greatest common factor of a and 59?", "a": "59" }, { "q": "Let l = 20 - -4. Let u be 357/l - 1/(-8). Suppose 3*t = 5*t - 330. Calculate the greatest common divisor of u and t.", "a": "15" }, { "q": "Let b = 16 - 12. Suppose -k + y = -25, -4*y + 94 + 6 = b*k. Let w = k + -24. Calculate the greatest common factor of 3 and w.", "a": "1" }, { "q": "Let r = -4460 - -4504. Calculate the highest common factor of 737 and r.", "a": "11" }, { "q": "Let z(j) = -18*j - 3*j - 17*j + 7*j - 35. Let q be z(-5). What is the highest common factor of 20 and q?", "a": "20" }, { "q": "Suppose 18048 = 391*r - 375*r. What is the highest common divisor of 423 and r?", "a": "141" }, { "q": "Let a be (-538 - 0)*(6 - 26/4). Calculate the greatest common factor of 2 and a.", "a": "1" }, { "q": "Let i be (9 - -4) + (-11 - -18). Calculate the highest common factor of i and 3370.", "a": "10" }, { "q": "Suppose p = -2*p + 2*c + 19, -3*c = 2*p + 9. Let n be 2 + (3 - 3) + -2 + p. Suppose l = n*l - 84. What is the greatest common factor of 210 and l?", "a": "42" }, { "q": "Let t = -364 - -158. Let k = t - -246. Let y(s) = s**3 - 3*s**2 - 3*s + 1. Let o be y(4). Calculate the greatest common factor of o and k.", "a": "5" }, { "q": "Suppose -10*d - 120 + 730 = 0. Let a = 2 + d. Calculate the greatest common divisor of a and 147.", "a": "21" }, { "q": "Suppose -v = -2*v + 4*d - 33, 4*v + 5*d + 90 = 0. Let f = 64 + v. What is the highest common divisor of f and 91?", "a": "13" }, { "q": "Let t(s) = -s**2 + 35*s + 131. Let w be t(38). What is the greatest common divisor of 17 and w?", "a": "17" }, { "q": "Let w(f) = 1806*f**2 + 7*f + 2*f**3 - 1818*f**2 - f**3 - 2 + 4*f. Let g be w(12). Calculate the highest common divisor of 10 and g.", "a": "10" }, { "q": "Let k be (-7 - -1)/((-30)/260). Let s be (280/(-175))/(3*(-2)/195). What is the greatest common factor of s and k?", "a": "52" }, { "q": "Suppose -13*s + 679 = 3*s + 247. Calculate the greatest common factor of s and 63.", "a": "9" }, { "q": "Let m = 12 - -26. Let r be 18/4 - 57/m. What is the greatest common factor of r and 87?", "a": "3" }, { "q": "Let v = -15 + 31. Suppose x + 4 = 0, 4*z - 55*x - 248 = -57*x. What is the highest common factor of v and z?", "a": "16" }, { "q": "Suppose 0 = 4*y + 44 - 64. Let g be 150/(-4)*(-12)/(-9). Let h = 90 + g. What is the greatest common factor of y and h?", "a": "5" }, { "q": "Let q(o) = -71*o + 324. Let g be q(0). Calculate the highest common divisor of g and 156.", "a": "12" }, { "q": "Suppose 8621 = 5*m + s - 2*s, 5171 = 3*m - s. Calculate the greatest common factor of m and 125.", "a": "25" }, { "q": "Let q(a) = -a**2 + 94*a - 22. Let o be q(92). Let f(d) = -d**2 - 9*d - 9. Let c be f(-6). What is the highest common factor of c and o?", "a": "9" }, { "q": "Suppose 19*j + 44 = w + 16*j, -4*j + 182 = 5*w. Suppose -5*u + 75 = -8*k + 3*k, -4*k = -u + 3. Calculate the highest common divisor of u and w.", "a": "19" }, { "q": "Let v be (-13 + 5 - -6)/(7/(-6566)). Calculate the greatest common factor of 28 and v.", "a": "28" }, { "q": "Let c be 70/(-42)*9/(-5). Let l be ((8 - c) + -3)/(6/60). Suppose -2*y - 4*d + 516 = 3*y, 2*y - 220 = -5*d. What is the highest common divisor of l and y?", "a": "20" }, { "q": "Let w be (-8)/((-2 + 1)/3). Let z(p) = 3*p**2 + 117*p + 848. Let n be z(-31). Calculate the greatest common divisor of n and w.", "a": "8" }, { "q": "Let r(s) = s**3 + 11*s**2 + s + 14. Let v be r(-11). Let k(l) = l**2 - 6*l + 2. Let t be k(6). Let n = v + t. What is the greatest common divisor of n and 35?", "a": "5" }, { "q": "Suppose -5*i + 714 = 3*r, 170*i - 169*i + 5*r - 134 = 0. What is the highest common divisor of i and 304?", "a": "16" }, { "q": "Let t(q) = -3*q - 12. Let l be t(-4). Suppose l = 12*h - 10*h - 20. Suppose -h*d - 2 = -11*d. Calculate the greatest common factor of d and 22.", "a": "2" }, { "q": "Suppose 43*i - 92*i = -39*i - 15150. Calculate the highest common factor of i and 30.", "a": "15" }, { "q": "Let p be 3 + -8 + -8 + 11. Let v be (-1628)/2*(-1 + p/(-4)). Calculate the greatest common factor of v and 37.", "a": "37" }, { "q": "Suppose -38369 = 58*m - 169913. Calculate the greatest common factor of 168 and m.", "a": "84" }, { "q": "Suppose 5*b = 3*w - 544 + 398, 2*w - 5*b - 104 = 0. Let r(h) = -h + 3. Let d be r(-3). Calculate the highest common divisor of d and w.", "a": "6" }, { "q": "Let k = -35 + 70. Suppose 31*d + 192 = k*d. Calculate the greatest common divisor of d and 96.", "a": "48" }, { "q": "Suppose -5*o - 19 + 125 = -2*k, -4*o - k = -77. Suppose 3204*d - 3201*d = -5*g + 71, -2*g = -4*d + 138. Calculate the highest common factor of d and o.", "a": "4" }, { "q": "Let q be (-6)/9*(-75)/2. Suppose 4*x = l - 54, 3*x + 203 = -9*l + 13*l. Calculate the highest common factor of q and l.", "a": "25" }, { "q": "Suppose 0 = -351*x + 355*x - 12, x - 93 = -2*k. Calculate the highest common divisor of k and 40.", "a": "5" }, { "q": "Suppose 44*x - 40*x + 5*m = 220, 12 = 3*m. Let g = 28 - 72. Let p = x + g. What is the greatest common factor of 6 and p?", "a": "6" }, { "q": "Let d(o) = -3*o**3 - 11*o - 2*o**2 - o**2 + 4*o**3 + 13*o - 2. Let t be d(3). Calculate the highest common divisor of t and 92.", "a": "4" }, { "q": "Suppose -2*l - 27*f + 571 = -30*f, 4*f + 4 = 0. Calculate the highest common divisor of l and 781.", "a": "71" }, { "q": "Let r(v) = -v**3 - 16*v**2 - 47*v - 13. Let y be r(-14). Suppose 51 - y = -a + 5*u, -3*a = 2*u - 555. What is the greatest common factor of a and 11?", "a": "11" }, { "q": "Suppose 9*u = 12*u - 6. Let m be -141*(u/5)/(6/(-5)). Suppose 0 = z - 79 + m. What is the highest common factor of 288 and z?", "a": "32" }, { "q": "Let m = 1612 - 1561. Calculate the greatest common factor of m and 357.", "a": "51" }, { "q": "Suppose 0*u - 27*u + 351 = 0. Suppose 27*y = 29*y - 52. Calculate the greatest common factor of y and u.", "a": "13" }, { "q": "Let k = -1745 + 2578. Calculate the greatest common divisor of 196 and k.", "a": "49" }, { "q": "Let o = 135 - 134. Let j(s) = 1 - s + 4 + 5 + 1. Let v be j(0). What is the greatest common divisor of o and v?", "a": "1" }, { "q": "Let j = 3429 - 3329. Calculate the highest common factor of 1620 and j.", "a": "20" }, { "q": "Suppose b = 3*c + 43 - 47, -c = -3*b + 12. What is the greatest common factor of 507 and c?", "a": "3" }, { "q": "Let l(a) = a**3 + 15*a**2 + 4*a - 34. Let s be l(-14). Let u = s + -102. What is the highest common factor of 2 and u?", "a": "2" }, { "q": "Let a = -2714 - -2867. Calculate the highest common factor of a and 18.", "a": "9" }, { "q": "Let b = 3329 - 3287. Calculate the greatest common divisor of 138 and b.", "a": "6" }, { "q": "Let x(c) be the third derivative of -c**5/60 + 7*c**4/24 + 3*c**3 - 2*c**2 - 4*c. Let l be x(8). What is the greatest common factor of l and 110?", "a": "10" }, { "q": "Suppose 42 + 12 = 3*t. Let m = t - -57. Let d = -561 - -591. What is the greatest common divisor of d and m?", "a": "15" }, { "q": "Let j = 35 + 45. Suppose 0 = -v + 4*k + 275, 5*v - 2*k - 464 = 839. Let h = v + -239. What is the greatest common divisor of j and h?", "a": "20" }, { "q": "Let t = 1268 - 1102. Calculate the highest common factor of t and 1245.", "a": "83" }, { "q": "Let q = -14 + 36. Let o be q + 0 + 0 + -2. Let f(j) = j**2 - 82*j - 1088. Let w be f(-12). What is the highest common divisor of w and o?", "a": "20" }, { "q": "Let s = -33 - -36. Suppose -5*v - 4*j = -128, 2*j = j - s. Suppose -v = -3*w + 5. Calculate the highest common divisor of w and 99.", "a": "11" }, { "q": "Let w(v) = 262*v - 674. Let j be w(3). What is the greatest common factor of 602 and j?", "a": "14" }, { "q": "Let g be (-17511)/(-45) + (-10)/75*1. Suppose 0 = 12*p + 5 - g. What is the highest common divisor of p and 32?", "a": "32" }, { "q": "Suppose 2*z = -3*a + 821, 3*a + 4*z - z - 819 = 0. What is the highest common factor of a and 325?", "a": "25" }, { "q": "Let i be (1 - 3)*(-196)/56. Suppose i*n - 2088 = -2*n. Calculate the highest common factor of 8 and n.", "a": "8" }, { "q": "Let x(b) = 6*b**2 + 18*b - 2. Let i be x(-3). Let z be (-6 + (-9)/i)*-48. Calculate the greatest common divisor of z and 9.", "a": "9" }, { "q": "Let y = 219 - 215. Suppose l = 4*w + 3*l - 68, 54 = 2*w - y*l. Calculate the greatest common factor of 76 and w.", "a": "19" }, { "q": "Let z(k) = -k**3 + 3*k**2 + 12*k - 28. Let q be z(3). Suppose 0*i = -i + 704. Suppose q*p + 0*p - i = 0. What is the greatest common factor of 11 and p?", "a": "11" }, { "q": "Suppose 0 = -2*d + a + 14, 62*d - 22 = 58*d + 3*a. Suppose 24 = 2*b - 66. What is the highest common divisor of d and b?", "a": "5" }, { "q": "Suppose -18*t + 46 = 3178. Let x be (44/(-6))/(4/t). What is the greatest common factor of 11 and x?", "a": "11" }, { "q": "Suppose -2*d - 2 = 0, -4*d + 1 = -2*b + 25. Let f(x) = 29*x - 19. Let v be f(11). Let u be (v/210)/(2/70). Calculate the highest common factor of u and b.", "a": "10" }, { "q": "Suppose 2*c = -5*b + 668, 0 = c + 3*b - 171 - 164. Let p(m) = -3*m**2 - 101*m + 81. Let w be p(-34). Calculate the greatest common factor of w and c.", "a": "47" }, { "q": "Suppose 144 = 7*o - 17. Let m = 26 - o. Let y be 16/(1 - -3)*m/4. What is the highest common factor of 27 and y?", "a": "3" }, { "q": "Suppose 3*y - 43*j = -39*j + 31, -41 = -3*y - j. What is the highest common divisor of 1053 and y?", "a": "13" }, { "q": "Let u(g) = -15*g + 477. Let c be u(-12). Calculate the highest common divisor of c and 365.", "a": "73" }, { "q": "Let n = -71 - -116. Let t = 347 + -645. Let c = 313 + t. Calculate the highest common divisor of n and c.", "a": "15" }, { "q": "Let p = -8 + 53. Let i = p + -28. Let o = i + -4. What is the greatest common divisor of o and 65?", "a": "13" }, { "q": "Let d = 4408 - 4400. Calculate the greatest common factor of 3832 and d.", "a": "8" }, { "q": "Let c be 1 + (0 - -1 - 22)/(-1). Let u = -40 + c. Let v be (0 - 2/(-1))*u/(-1). Calculate the highest common factor of v and 24.", "a": "12" }, { "q": "Suppose -s + 4*s = 171. Let b be 14 + -6 - (1 + 4). Calculate the greatest common factor of b and s.", "a": "3" }, { "q": "Let u(y) = -y**3 - 35*y**2 + 33*y - 64. Let t be u(-36). Suppose 0 = 9*o + 8 - t. What is the highest common factor of 9 and o?", "a": "1" }, { "q": "Let y = -216 + 324. Suppose 0 = -3*j - 4*r + 182, -198 = -4*j - 5*r + 43. Calculate the greatest common factor of y and j.", "a": "54" }, { "q": "Let s(y) = -193*y - 61. Let n be s(-4). Calculate the highest common divisor of n and 9.", "a": "9" }, { "q": "Let j be (16 - 9)*120/7. Suppose 5*b = 8*b - j. Let h be (-2)/20*-2 - 192/(-40). What is the greatest common divisor of b and h?", "a": "5" }, { "q": "Let w be 8/16*-6 + 1221. What is the greatest common divisor of w and 1044?", "a": "174" }, { "q": "Suppose 0*g = 4*i + g - 23, 2*g = -3*i + 11. Let m = -79 - -81. Suppose -3*l + w = m*w - 60, -l = 2*w - 15. What is the greatest common factor of l and i?", "a": "7" }, { "q": "Let q be ((-13 - -25) + -46)*-3. What is the highest common divisor of q and 51?", "a": "51" }, { "q": "Let t be (-1)/2*-4 - -7. Let p(r) = -r**2 - 10 + 0*r**2 + 0*r**2 - 8 + 13*r + 2. Let h be p(t). Calculate the highest common factor of 8 and h.", "a": "4" }, { "q": "Suppose -21*a = -16*a - 60. Let c be ((-33)/a)/((-3)/72). Calculate the greatest common divisor of 22 and c.", "a": "22" }, { "q": "Let o be ((-122)/(-183) + 14/(-12))*-868. Calculate the greatest common divisor of 182 and o.", "a": "14" }, { "q": "Let n(w) = -61*w - 10. Let l be n(-9). Suppose -4*q - l + 179 = 0. Let f be q*((3 + -1)/(-1) - 0). What is the greatest common factor of f and 36?", "a": "36" }, { "q": "Let b = -2000 - -2088. Calculate the highest common divisor of 33 and b.", "a": "11" }, { "q": "Let v be -3*366*(-152)/36. Calculate the greatest common divisor of v and 76.", "a": "76" }, { "q": "Suppose 2*o + 87*o = 6853. Suppose 3*j = -4*a + 36, 0 = 2*a + 4*j - 2*j - 18. Suppose 2*z - 13 - a = 0. What is the greatest common divisor of z and o?", "a": "11" }, { "q": "Let c = 7 - 10. Let u be (6 - 3)/3 + 5 + c. Calculate the highest common divisor of u and 3.", "a": "3" }, { "q": "Let j be (-6)/(1/2 - 1). Suppose 6*p - j = 3*p. Suppose -4*x = -0*h + h - 17, 5*h = x + 1. Calculate the highest common factor of h and p.", "a": "1" }, { "q": "Suppose -64 = 7*v - 309. Let t = -25 - -22. Let a be (4 - 1) + t + 5. Calculate the greatest common divisor of v and a.", "a": "5" }, { "q": "Let i be (-5)/((-75)/6) + (48672/65)/18. What is the highest common factor of 96 and i?", "a": "6" }, { "q": "Suppose -i - 1160 = -4*r, -3*r = 2*r + 3*i - 1450. Let b = -11 + 21. What is the greatest common divisor of r and b?", "a": "10" }, { "q": "Let r = -77 + 110. Let v(p) = -2011*p + 4154. Let s be v(2). Calculate the greatest common factor of s and r.", "a": "33" }, { "q": "Suppose -7*u + 10*u - 2*s = 70, -2*s - 18 = -u. What is the greatest common factor of u and 4498?", "a": "26" }, { "q": "Suppose 2*y - 3 = 1. Let t(w) = -w**3 + 2*w**2 - 2*w + 3. Let u be t(y). Let z = u + 11. What is the highest common factor of z and 15?", "a": "5" }, { "q": "Suppose 0 = -5*k - f + 83, 23*k - 5*f = 27*k - 79. Calculate the greatest common factor of k and 1.", "a": "1" }, { "q": "Let n = -24 + 48. Let x = 4799 - 4775. Calculate the greatest common divisor of x and n.", "a": "24" }, { "q": "Let t be (-1628)/111*(-60)/8. Calculate the greatest common factor of 968 and t.", "a": "22" }, { "q": "Let t = 127 - 134. Let i(b) = -b**3 - 8*b**2 - 11*b - 6. Let l be i(t). What is the greatest common factor of 121 and l?", "a": "11" }, { "q": "Suppose -5*i - 10 = -2*c - 2*i, -c + 12 = -5*i. Suppose -c*d + 148 = -50. Let m = 11 - 2. What is the highest common divisor of m and d?", "a": "9" }, { "q": "Suppose -j + 4*j - 15 = 0. Suppose 0 = -2*o - 3*v + 2*v - 45, -j*o - 120 = 5*v. Let s be (9/o - 1)/((-1)/7). What is the greatest common divisor of 15 and s?", "a": "5" }, { "q": "Let m(h) = -13*h**2 + 31*h + 29. Let y be m(3). What is the highest common divisor of y and 1385?", "a": "5" }, { "q": "Let c be (-360)/48*(-96)/5. Calculate the greatest common divisor of c and 234.", "a": "18" }, { "q": "Let d(w) = -2*w**2 - 24*w - 10. Let g be d(-11). Calculate the highest common divisor of 7836 and g.", "a": "12" }, { "q": "Suppose 9*h - 100 = 355 - 50. Calculate the highest common factor of h and 1359.", "a": "9" }, { "q": "Let x = -14 - -31. Let f be (-6 + -198)*(-2)/(40/75*5). Calculate the highest common factor of f and x.", "a": "17" }, { "q": "Let g be 116/(-638) - 68/(-11). Suppose -2*q + 15 = -h + 3*q, q - 29 = -5*h. What is the greatest common divisor of h and g?", "a": "1" }, { "q": "Suppose 2*n = 0, -5*n + 195 = f - 204. What is the greatest common divisor of 294 and f?", "a": "21" }, { "q": "Let h = 22 + 19. Suppose -h = 4*i - 161. Let u(x) = 2*x**2 + 14*x - 58. Let c be u(-11). Calculate the highest common factor of i and c.", "a": "30" }, { "q": "Suppose -9*x + 18*x = -36. Let m be (2 - 3 - x)*3. What is the highest common factor of m and 342?", "a": "9" }, { "q": "Let g be 5 + (-14*(-1)/2 - -180). What is the highest common divisor of 3008 and g?", "a": "64" }, { "q": "Suppose 5*o - 1919 - 1091 = 0. Let l be (-2)/(-11) + (o/77 - -1). Calculate the highest common divisor of l and 63.", "a": "9" }, { "q": "Suppose 9 = -0*u + 5*u + 4*y, -2*u + 26 = -4*y. Let f be (-15)/(-1 + (u - 5)). Calculate the highest common factor of f and 3.", "a": "3" }, { "q": "Let d = 129 + -17. Suppose d*y + 168 = 116*y. Calculate the highest common divisor of 105 and y.", "a": "21" }, { "q": "Suppose -10 = -6*o + 2. Suppose l + 0*l + 2*b = 98, -o*l + b + 191 = 0. Suppose -2*w + 4*w - l = 0. What is the greatest common divisor of 72 and w?", "a": "24" }, { "q": "Let a(w) = -w**3 - 3*w**2 - 3*w. Let j be a(-3). Let m(r) = -r**3 + 7*r**2 + 21*r + 9. Let b be m(j). What is the greatest common divisor of b and 60?", "a": "12" }, { "q": "Suppose 10*r - 138 = 177 + 185. Calculate the highest common divisor of 250 and r.", "a": "50" }, { "q": "Let d be -4 + 11/(-66) + (-49)/(-6). Let j(g) = 31*g**2 - 7*g - 12. Let b be j(d). Calculate the highest common divisor of 57 and b.", "a": "57" }, { "q": "Let h(p) = 3*p**2 + 8*p - 76. Let d be h(-22). Calculate the highest common divisor of d and 192.", "a": "48" }, { "q": "Let n(f) = -329*f - 216. Let o be n(-4). What is the highest common factor of 10 and o?", "a": "10" }, { "q": "Suppose -7*a + 25 = -2*a. Suppose 3*i - 54 = -2*l, -4*l - a*i = -4*i - 108. Calculate the highest common divisor of l and 36.", "a": "9" }, { "q": "Let g be (21/(-2))/7*(-707 + 31). What is the greatest common factor of 117 and g?", "a": "39" }, { "q": "Let b = -113 + 120. Let n be b/(-2) + 3 + (-3815)/(-14). What is the highest common divisor of n and 17?", "a": "17" }, { "q": "Let x = -4 - -114. Let r = -133 + 135. Suppose 13*a + r*y = 9*a + 180, y + 86 = 2*a. What is the highest common factor of a and x?", "a": "22" }, { "q": "Let a(o) = 86*o - 2525. Let x be a(75). Calculate the greatest common divisor of 50 and x.", "a": "25" }, { "q": "Let z = -19 - -28. Let f(b) = 3*b**2 - 18*b + 17. Let u be f(z). What is the greatest common factor of 245 and u?", "a": "49" }, { "q": "Let z(u) = 24*u + 0*u**3 + 10*u**2 + 0*u**3 - u**3 - 9*u - 7. Let q be z(11). Let p = 67 - q. What is the highest common factor of 12 and p?", "a": "6" }, { "q": "Let r be (190 + -4)/(-1*(2 - 4)). Suppose 7*l - r = 103. What is the highest common factor of l and 28?", "a": "28" }, { "q": "Suppose 0 = 2*d - 0*d - 96. Suppose -3*r + 5*z + 22 = z, -r + 3*z + 9 = 0. Calculate the greatest common divisor of d and r.", "a": "6" }, { "q": "Suppose -46*f + 3901 = 1141. What is the highest common factor of f and 1572?", "a": "12" }, { "q": "Let t(y) be the second derivative of 1/2*y**4 + 0 + y**2 + 15*y - 1/20*y**5 - 2/3*y**3. Let o be t(4). Calculate the highest common factor of 2 and o.", "a": "2" }, { "q": "Suppose -3*q - 20 = -65. Suppose -q = 5*m - 45. Let t(w) = -w**2 + 3*w + 2. Let a be t(3). What is the greatest common divisor of m and a?", "a": "2" }, { "q": "Let i be 68 - (120/150)/(2/10). Calculate the highest common factor of 832 and i.", "a": "64" }, { "q": "Let y be 54/(-783) - 16708/(-58). Calculate the highest common divisor of y and 936.", "a": "72" }, { "q": "Suppose 5*g - 3*g + 2*s = 486, -4*g = s - 981. Calculate the highest common divisor of 2583 and g.", "a": "123" }, { "q": "Let h(o) be the third derivative of o**5/60 - o**4/6 - 7*o**3/3 - 19*o**2 + 1. Let a be h(7). What is the highest common divisor of a and 287?", "a": "7" }, { "q": "Let l(d) = 3*d**2 - 10*d + 6. Let k be l(4). Suppose k*u - 184 = 2000. What is the highest common divisor of u and 117?", "a": "39" }, { "q": "Let r be 94656/2788 - (500/(-164) - -3). Let s(b) = 52*b - 5. Let p be s(5). Suppose -p = -v - 2*v. What is the highest common divisor of r and v?", "a": "17" }, { "q": "Let i be 400*(-1)/(10/(-15)). Let m = i - 276. Calculate the highest common factor of m and 36.", "a": "36" }, { "q": "Suppose -1 = 11*i - 45. Suppose -2*u + m = -175, -i*m = 4*u - 9*u + 436. What is the highest common factor of 22 and u?", "a": "22" }, { "q": "Let o be 11/((-462)/(-96)) + 4/(-14). Let z be 32 + -3 - (-12)/o. What is the greatest common divisor of 15 and z?", "a": "5" }, { "q": "Suppose -846 = 2*i + 4*q, -i + 4*q = i + 814. Let z = 620 + i. What is the greatest common factor of 41 and z?", "a": "41" }, { "q": "Suppose -4*h + 45 = -7*z + 2*z, -3*h + z + 31 = 0. Let c be ((-8)/36 + 62/(-45))*-30. Let m = c - 44. Calculate the greatest common divisor of h and m.", "a": "2" }, { "q": "Suppose 4*b - 5*i - 40 - 5 = 0, -2*b + 42 = 4*i. Let g = 23755 - 23680. What is the greatest common factor of g and b?", "a": "15" }, { "q": "Let u(n) = -n**2 - 16*n - 10. Let p be 202/(-18) + (-46)/(-207). Let c be u(p). Calculate the greatest common divisor of c and 75.", "a": "15" }, { "q": "Suppose -2*k + 2*h + 4 = 0, -177*h + 176*h = -2. Suppose 2 + 6 = -2*j. Let s = -3 - j. Calculate the highest common divisor of k and s.", "a": "1" }, { "q": "Let w = 7137 + -7130. Suppose -5*d + 1073 = -4*n, 2*d - 446 + 6 = -2*n. Calculate the highest common divisor of w and d.", "a": "7" }, { "q": "Suppose 0 = -101*w + 1194 + 1634. What is the highest common factor of 16 and w?", "a": "4" }, { "q": "Let o = -170 + 258. Let n be (-3 + 2)/((-4)/o) - 3. Let s = n + -3. What is the highest common factor of s and 40?", "a": "8" }, { "q": "Suppose -4*n + 5*t + 103 = 0, 0 = 3*n - 3*t - 37 - 41. Suppose 2*p = -p + n. Let f be (-3 + -1)*p/27*-9. What is the highest common divisor of f and 108?", "a": "12" }, { "q": "Let r(s) = 35*s - 5. Let h = 115 - 114. Let u be r(h). What is the highest common factor of 12 and u?", "a": "6" }, { "q": "Let m = 498 - 386. What is the greatest common factor of m and 21?", "a": "7" }, { "q": "Suppose -9*g + 341 - 98 = 0. Let h(d) = g + 51*d + 2 - 14. Let w be h(3). What is the highest common factor of 21 and w?", "a": "21" }, { "q": "Let a(q) = 87*q + 1420. Let t be a(-15). What is the highest common factor of t and 69?", "a": "23" }, { "q": "Let n(o) = 6*o**2 + 2*o**2 - 7*o**2 - 10*o + 21 + o**2. Let m be n(7). Calculate the highest common factor of m and 7.", "a": "7" }, { "q": "Let g be 2/(6 - (3 - -2)). Let o be (-5)/g*(-7 - 12/4). What is the highest common factor of 125 and o?", "a": "25" }, { "q": "Suppose -g + 5*v = -1256, 29*g - 25*g = -5*v + 4949. Calculate the greatest common divisor of g and 34.", "a": "17" }, { "q": "Let g(y) = y - 3. Let c = -38 + 46. Let i be g(c). Suppose 0 = i*q - s - 160, -3*q + s + 128 = q. What is the greatest common factor of q and 8?", "a": "8" }, { "q": "Let v = -42 + 60. Let c = 42 + -40. Suppose -12 = 4*k + 5*j, 2*k + c*j = 4*j + 12. What is the greatest common factor of v and k?", "a": "2" }, { "q": "Let t = 680 + -330. Calculate the highest common factor of t and 308.", "a": "14" }, { "q": "Suppose -8*u - 2*b - 1198 = -12*u, u - 5*b = 304. What is the highest common factor of 377 and u?", "a": "13" }, { "q": "Suppose 0 = 2*u + 5*b + 5, 0 = -0*b + 2*b + 6. Let w be 9 + u/(-2)*-2. Calculate the highest common divisor of 140 and w.", "a": "14" }, { "q": "Suppose 5*s + 2*l = 2, -3*s - 2 = -2*s - 2*l. Suppose -j = -4*a - 29, -4*a + 61 = j - s*a. Calculate the greatest common divisor of 15 and j.", "a": "15" }, { "q": "Let n = 35 + -30. Suppose -n*y - 101 = 69. Let u = y + 35. Calculate the highest common factor of u and 5.", "a": "1" }, { "q": "Let k be (32 + -6)*(52/8 - 5). Calculate the greatest common factor of 221 and k.", "a": "13" }, { "q": "Suppose 0 = 29*x - 13*x + 160. Let l(b) = -b**2 - 11*b - 1. Let w be l(x). Let p(y) = -y + 3. Let q be p(0). What is the greatest common factor of q and w?", "a": "3" }, { "q": "Let c = 7023 + -7016. Suppose -3*r - 152 = -4*f, 33 = f + r + 2. Calculate the greatest common factor of f and c.", "a": "7" }, { "q": "Let y be (-20)/(-25) + 205/25 + 3. What is the greatest common factor of y and 3468?", "a": "12" }, { "q": "Suppose 3*l = 2*l. Let q = -170 + 174. Suppose -q*d + 2*a + 116 = l, -3*d - 2*a - 3*a = -100. What is the greatest common factor of 10 and d?", "a": "10" }, { "q": "Suppose 2*o = 18*o + 80. Let x = o + 57. What is the highest common factor of 39 and x?", "a": "13" }, { "q": "Let o = 2561 + -1713. Calculate the highest common divisor of o and 106.", "a": "106" }, { "q": "Let f be 39/26 - 18/(-4). Let w be 85/(15/21 - f/(-21)). Suppose 5*v + 0*x - w = 3*x, 0 = 5*x - 25. Calculate the highest common factor of 4 and v.", "a": "4" }, { "q": "Suppose 110 = 81*b - 70*b. Calculate the highest common divisor of 1970 and b.", "a": "10" }, { "q": "Let x(c) = -c**2 + 6*c + 18. Suppose -4*h = -4, 5*z + 4*h - 134 = -0*h. Let o = z - 18. Let b be x(o). Calculate the greatest common divisor of b and 4.", "a": "2" }, { "q": "Suppose 1713*j = 1687*j + 36504. Calculate the greatest common divisor of 1092 and j.", "a": "156" }, { "q": "Let x(z) be the first derivative of 7*z**2 + 2*z - 102. Suppose 2*o - 2 = o. Let n be x(o). What is the highest common factor of n and 20?", "a": "10" }, { "q": "Suppose -3*c = b - 134, 0 = c - 0*c + 2. Suppose 137*i - b*i = -162. Calculate the greatest common factor of i and 12.", "a": "6" }, { "q": "Suppose -b = 3652 - 3661. Suppose 173 = 2*n + 11. What is the greatest common factor of b and n?", "a": "9" }, { "q": "Let a(h) = 27*h + 828. Let t be a(-20). What is the highest common factor of 720 and t?", "a": "144" }, { "q": "Let x(r) = 2*r**2 + r + 15. Let s be x(0). Suppose -7 = t - s. Suppose 84 = 4*q - 3*h, -5*h + 92 = 3*q - 0*q. Calculate the greatest common factor of t and q.", "a": "8" }, { "q": "Let o(l) = 7*l + 10. Let p be o(6). Suppose 6*w + p = 406. What is the highest common factor of 649 and w?", "a": "59" }, { "q": "Suppose 54 = 2*q - 3*i, 2*i = -2*q - 34 + 58. Let v(w) = w**3 + 10*w**2 - 2*w. Let f be v(-8). What is the highest common divisor of f and q?", "a": "18" }, { "q": "Suppose 13*i + 17 = -4*i. Let m be i*3 + 9 + 18. Calculate the highest common divisor of 9 and m.", "a": "3" }, { "q": "Let w = -222 + 295. Let u = 1 - 16. Let r = w - u. Calculate the highest common divisor of r and 22.", "a": "22" }, { "q": "Let x(u) = 2*u**2 - 26*u - 1. Suppose -l + 3*l + 2 = 0, 5*d - 69 = -l. Let z be x(d). Calculate the greatest common factor of z and 9.", "a": "9" }, { "q": "Let q = -3316 - -3396. What is the highest common divisor of 125 and q?", "a": "5" }, { "q": "Let t = 207 - 135. Let x(n) = -17*n**3 + n**2. Let d be x(-1). What is the highest common factor of t and d?", "a": "18" }, { "q": "Let x be (1*-4)/(-3*(-18)/(-864)). What is the highest common factor of 20 and x?", "a": "4" }, { "q": "Let l(q) = -37*q**3 - 7*q**2 - 15*q - 53. Let v be l(-3). What is the highest common factor of 29 and v?", "a": "29" }, { "q": "Let x(o) = o**2 - 29*o - 257. Let d be x(37). Calculate the highest common divisor of 75 and d.", "a": "3" }, { "q": "Suppose 5*b + 15 = 5*q, 2*b = 4*q + 6*b - 12. Suppose 0 = q*r - 9*r + 384. Calculate the greatest common factor of 16 and r.", "a": "16" }, { "q": "Suppose -g + 5*g = 2*u + 444, 0 = -g - 3*u + 104. Let r be 3 + 3/((-3)/(-7)). What is the highest common factor of r and g?", "a": "10" }, { "q": "Let s = -50 + 53. Let f be ((-7)/(-15) + -3)*s*-20. What is the greatest common factor of f and 19?", "a": "19" }, { "q": "Let u(q) = q**3 + 29*q**2 + 29*q + 32. Let h be u(-28). Suppose -4*i + 0*i + 312 = 4*f, h*f - 3*i = 277. What is the highest common factor of f and 657?", "a": "73" }, { "q": "Suppose 5*l - h - 313 + 35 = 0, l - 50 = 3*h. Let m = l + -35. Calculate the greatest common divisor of 105 and m.", "a": "21" }, { "q": "Let z(h) = 23*h**2 + 21*h - 110. Let r be z(8). Calculate the highest common divisor of 204 and r.", "a": "102" }, { "q": "Suppose 0 = -2*g - 4*l - 14, -5*g - l + 13 = 3. Let t = -35 - -56. What is the greatest common divisor of g and t?", "a": "3" }, { "q": "Suppose -u + 216 = 2*v - 0*u, 3*v + 4*u = 314. Let d = v - 108. What is the greatest common divisor of 18 and d?", "a": "2" }, { "q": "Let s(x) = 28*x**2 - 12*x - 13. Let y be s(-1). Let l(v) = v + 5. Let g be l(-4). What is the highest common factor of y and g?", "a": "1" }, { "q": "Suppose 27*i = -59*i - 128*i + 12840. Suppose -a = 2*a - 60. What is the highest common factor of a and i?", "a": "20" }, { "q": "Let c = -34 - -61. Let h = -116 + 118. Suppose h*p + 5*r - 382 - 104 = 0, 0 = 2*r. Calculate the greatest common factor of c and p.", "a": "27" }, { "q": "Let w be 12/(-5) - -3 - (-6 + (-19154)/10). Calculate the greatest common divisor of 186 and w.", "a": "62" }, { "q": "Let l = 4691 - 4689. Calculate the highest common factor of 1126 and l.", "a": "2" }, { "q": "Suppose 5*y = 21*z - 20*z + 103, -101 = -5*y + 2*z. Let f(x) = -16*x + 3. Let u be f(-9). Calculate the greatest common factor of u and y.", "a": "21" }, { "q": "Let i(x) = x**3 + 12*x**2 + 9*x - 12. Let f be -2*-3*(-44)/24. Let r be i(f). Suppose r*m = m + 9. Calculate the greatest common divisor of m and 7.", "a": "1" }, { "q": "Let q = 79 + -105. Let j = q + 37. What is the highest common divisor of j and 88?", "a": "11" }, { "q": "Let b be (-420)/8*2/(-3). Let h(x) be the first derivative of -5*x**2/2 - 11*x + 2. Let d be h(-5). Calculate the highest common factor of d and b.", "a": "7" }, { "q": "Let b = -13 - -19. Suppose b*r - 125 - 109 = 0. What is the highest common divisor of 3 and r?", "a": "3" }, { "q": "Let v = -31 + 35. Let r(j) = 109 - 117 + v*j + 7*j**2 + 2*j**3 - j**3. Let w be r(-6). Calculate the greatest common factor of 28 and w.", "a": "4" }, { "q": "Let j(s) = 2*s - 2. Let v(f) = 0*f - 3*f - 1 + 4*f. Let o(z) = -5*j(z) + 7*v(z). Let k be o(-2). Calculate the greatest common factor of 81 and k.", "a": "9" }, { "q": "Let i = 1172 - -145. What is the greatest common divisor of 3 and i?", "a": "3" }, { "q": "Let k = -549 - -584. Let o(u) = u**3 + 8*u**2 + 5*u - 9. Let x be o(-7). What is the highest common factor of k and x?", "a": "5" }, { "q": "Suppose -16*z + 532 = 3*z. Suppose 180*w - 178*w = 8. Calculate the greatest common divisor of z and w.", "a": "4" }, { "q": "Let l = -2675 - -10014. What is the highest common factor of l and 179?", "a": "179" }, { "q": "Let v = -4600 + 4930. What is the greatest common factor of 105 and v?", "a": "15" }, { "q": "Let a be (0 - -27) + (-3 - 2). Suppose -a*t + 12*t = -810. What is the highest common factor of t and 54?", "a": "27" }, { "q": "Let y be (3 - 12)/(2/(-2)) + 4. Calculate the highest common divisor of 1 and y.", "a": "1" }, { "q": "Let a(c) = 86*c - 154. Let x be a(2). What is the highest common factor of 4302 and x?", "a": "18" }, { "q": "Suppose 5*x - 5 = 0, 2*t + 6*x + 46 = 2*x. Let r = -22 - t. What is the greatest common factor of r and 1?", "a": "1" }, { "q": "Let j(o) = 39*o - 1396. Let g be j(36). What is the greatest common factor of g and 74?", "a": "2" }, { "q": "Suppose 16*q - 62 = -686. Let c = -17 - q. What is the highest common divisor of 121 and c?", "a": "11" }, { "q": "Let n = 219 + 47. Calculate the highest common divisor of 154 and n.", "a": "14" }, { "q": "Suppose -i = -0*i - 8. Suppose -u - u = -i. Let t be 0 + 64 + u/(-1). What is the greatest common divisor of t and 10?", "a": "10" }, { "q": "Let l = 315 - -1511. What is the highest common divisor of 11 and l?", "a": "11" }, { "q": "Let k(z) = -55*z**3 - 5*z**2 + 6*z - 3. Let x be k(2). Let i = x + 802. Calculate the greatest common factor of i and 13.", "a": "13" }, { "q": "Let p be (-27)/(-6 - (-13 + 8)). Let f be 573/12 - 1/(-4). Let z = f - p. Calculate the highest common factor of z and 105.", "a": "21" }, { "q": "Let i(k) = k**2 + 10*k - 17. Let g be 14/7 + 0 + 5. Let u be i(g). What is the highest common factor of 255 and u?", "a": "51" }, { "q": "Let q(l) = l + 25. Let h be q(7). Let y = 133 - 53. Calculate the highest common factor of h and y.", "a": "16" }, { "q": "Suppose x - 2 = 3*p, 0*x - x = -2*p - 3. Let z be ((-2)/(-1))/2*(27 + p). Let q be ((-35)/z)/((-1)/(-52)*-1). What is the greatest common factor of q and 26?", "a": "13" }, { "q": "Suppose -2*s - 17 = -75. Suppose -3*g - 54 = -2*j - 0*g, j - s = 2*g. Suppose 7*d = -j + 98. Calculate the highest common divisor of 1 and d.", "a": "1" }, { "q": "Suppose 9 = j - 2*r + 3, -3*r - 12 = -3*j. Suppose -4*l + 573 = n, -5*l - 2*n = -j*l - 431. Calculate the highest common divisor of 13 and l.", "a": "13" }, { "q": "Let p be (3 + 21685/25)/(1 + (-16)/20). What is the greatest common divisor of p and 17?", "a": "17" }, { "q": "Suppose -3*r = -r - 120. Let w(s) = 4*s**2 - 8*s - 20. Let z(u) = -6*u + 63. Let n be z(11). Let i be w(n). What is the greatest common factor of r and i?", "a": "20" }, { "q": "Let j be (-400)/(-112) - 4/7. Suppose j*h + 0*x - 16 = x, 0 = -2*h - 4*x - 8. Suppose -40 = -h*w + 600. What is the greatest common divisor of 32 and w?", "a": "32" }, { "q": "Let o(i) = -i**3 + i**2 + i + 693. Let p be o(0). Let s be ((-2)/(-3))/(224/(-3528))*3*-2. Calculate the highest common factor of s and p.", "a": "63" }, { "q": "Let h be 2*(3 + (-12)/(-8)). Let b(p) = 22*p - 11. Let n be 68/14 + (-1)/(-7). Let y be b(n). What is the greatest common divisor of h and y?", "a": "9" }, { "q": "Let i be -2*((-81)/6 + -1 + 3). Calculate the highest common divisor of i and 3059.", "a": "23" }, { "q": "Let h(d) = 51*d - 558. Let c be h(12). Suppose 5*s - 2*s = -4*t + 56, -4*s = t - 53. What is the greatest common factor of c and s?", "a": "6" }, { "q": "Let p(x) = 21*x**3 - 2*x + 1. Let l be p(1). Suppose l*i - 19*i = 33. Calculate the highest common divisor of 11 and i.", "a": "11" }, { "q": "Let r = 261 + -256. Suppose 2*t - 2*g = 4*t - 62, -3*t + 101 = g. What is the greatest common divisor of t and r?", "a": "5" }, { "q": "Suppose -5*k - a - 53 = -0*a, -5*k - 3*a - 59 = 0. Let d be ((-32)/20)/(-1) + (-4)/k. Suppose 0*s = 2*s - 4. What is the greatest common divisor of d and s?", "a": "2" }, { "q": "Suppose 3*s + 3*f + 5145 = -0*f, -s + 2*f = 1712. Let c be (-28)/210 + s/(-30). Calculate the highest common factor of c and 456.", "a": "57" }, { "q": "Suppose -70*o = -67*o - 5*d - 1091, -2*d = 8. Calculate the greatest common factor of o and 561.", "a": "51" }, { "q": "Let x be 9*2/(-1)*(-3)/9. Let j be -1 - 705/(x/(-2)). Let l = -129 + j. Calculate the greatest common divisor of l and 15.", "a": "15" }, { "q": "Let a be 2 - (-1 + -4 - 1241). Calculate the greatest common divisor of 40 and a.", "a": "8" }, { "q": "Suppose -3*z - 84 = -13*g + 10*g, -3*g + 90 = -4*z. Let d(f) = 7*f**3 - f**2 - 4. Let i be d(3). Calculate the highest common factor of g and i.", "a": "22" }, { "q": "Let j = 57 - 24. Let o(f) = 42 + 8 + 35*f - 38*f. Let s be o(13). What is the highest common factor of s and j?", "a": "11" }, { "q": "Suppose -5*l + 262 = 37. Let b(n) = 3*n**2 - 8*n - 10. Let v be b(7). Let k = v - 63. What is the highest common factor of k and l?", "a": "9" }, { "q": "Let x be 0 + (114 - 1) - -2. Let b(c) = c**3 + 37*c**2 + 129*c - 53. Let n be b(-33). What is the greatest common factor of n and x?", "a": "23" }, { "q": "Let a be (-4 - -414) + 42/(-21). What is the highest common factor of 96 and a?", "a": "24" }, { "q": "Let k(r) = r**2 - 26*r + 9. Let a be k(20). Let m = a + 320. Calculate the greatest common factor of 11 and m.", "a": "11" }, { "q": "Suppose 0*o = -3*o + 174. Let s = -326 - -340. Let k be o/5 + s/35. What is the highest common divisor of k and 96?", "a": "12" }, { "q": "Let o(l) = -l**2 + 94*l - 945. Let f be o(25). What is the greatest common factor of 572 and f?", "a": "52" }, { "q": "Suppose 33240 = 402*a - 390*a. What is the greatest common factor of a and 30?", "a": "10" }, { "q": "Let x be (-3 - 2/(-2))*(-2)/4. Let l(n) = 287*n - 8. Let f be l(x). Calculate the highest common factor of 31 and f.", "a": "31" }, { "q": "Suppose 2*l + 56 = -2*w, 2*w + 19 = -3*l - 37. Let f be (-1 - 15/(-21)) + (-4740)/w. Let d = f - 105. What is the greatest common divisor of 32 and d?", "a": "32" }, { "q": "Let j be (-1 - -12)/(3/15). Let d = -86 + 108. Suppose 0 = -4*z + 4*l + 44, 2*z - 5*l = 4*z - d. Calculate the greatest common factor of j and z.", "a": "11" }, { "q": "Suppose 3*y + u = -55, 12*u = 3*y + 10*u + 70. Let f = 22 + y. What is the highest common divisor of 6 and f?", "a": "2" }, { "q": "Suppose 0 = -7*p + 2*p + 15. Suppose 1 = q - 4*m - p, 3*m = 0. Suppose -q*x - x = -80. What is the greatest common factor of x and 16?", "a": "16" }, { "q": "Suppose 3*z - 698 = -5*h + 3157, -5*h = 4*z - 3860. What is the highest common factor of h and 12?", "a": "12" }, { "q": "Suppose -s = -5*y + 25790, 4*s = -23*y + 19*y + 20656. Calculate the highest common divisor of y and 77.", "a": "77" }, { "q": "Let s(n) = 0*n - 14 + 13 - 19 + 6*n. Let l be s(6). Calculate the greatest common factor of 80 and l.", "a": "16" }, { "q": "Let q = 1543 - 1409. Calculate the highest common divisor of q and 335.", "a": "67" }, { "q": "Suppose -3*i = 3*g - 3273 - 4293, 2*g + 4*i = 5044. Calculate the highest common factor of g and 52.", "a": "26" }, { "q": "Let v = -157 + 160. Suppose v*h - z = 131, 9*z = 5*h + 4*z - 205. Calculate the greatest common divisor of h and 30.", "a": "15" }, { "q": "Let v(u) = -53*u - 9. Let q be v(-4). Suppose 74 = 74*b - 444. What is the highest common divisor of q and b?", "a": "7" }, { "q": "Suppose 4*q - 696 + 708 = 0, 3*c + 4*q - 42 = 0. Calculate the highest common divisor of c and 2.", "a": "2" }, { "q": "Suppose -4*y = 3*r - 3659, 3*r + 418 = -2*y + 2255. Suppose 8*t = 3*t - 3*h + y, 0 = -t + 2*h + 190. Calculate the highest common divisor of t and 23.", "a": "23" }, { "q": "Let a be (4/(-3))/(1/(-9)). Let r be 36*(90 + -1 + 1). Let c be (2/(-5))/(3*(-4)/r). Calculate the highest common factor of a and c.", "a": "12" }, { "q": "Let w = -16 + 32. Suppose 0 = -k + w. Suppose -3*o - 47*x = -43*x - 24, -3*x = -o + 8. Calculate the highest common factor of o and k.", "a": "8" }, { "q": "Suppose 1237*i - 1226*i - 2805 = 0. Calculate the highest common factor of i and 1173.", "a": "51" }, { "q": "Let o be 8 + (241/1)/1 + -1. What is the greatest common divisor of 8 and o?", "a": "8" }, { "q": "Let a(q) = 20*q - 16. Let k(z) = 3*z**3 + 2*z**2 + 3*z. Let w be k(-2). Let t = 28 + w. Let m be a(t). What is the greatest common divisor of 13 and m?", "a": "13" }, { "q": "Let r(h) = 3*h**2 - 2*h - 10. Let g = 39 - 44. Let q be r(g). Suppose 3*s - q = 69. What is the greatest common divisor of s and 12?", "a": "12" }, { "q": "Suppose 27*c - 10*c - 2832 = -42*c. Calculate the highest common factor of c and 784.", "a": "16" }, { "q": "Let g = 252 - 216. Let p(m) = 2*m + 14. Let k be p(11). What is the greatest common factor of g and k?", "a": "36" }, { "q": "Suppose 4*k - 6*k + h = -3141, 0 = -5*k + 2*h + 7852. Calculate the highest common divisor of k and 50.", "a": "10" }, { "q": "Let j(q) = -2 - q**2 + 7 - 10 - q**3 + 10 - 2*q. Let v be j(-5). What is the greatest common divisor of 46 and v?", "a": "23" }, { "q": "Suppose 4*c - 2*c = 166 - 144. Calculate the greatest common factor of 913 and c.", "a": "11" }, { "q": "Suppose 8 = 5*z - u, 3*u + 2*u = -4*z + 18. Suppose 62 = z*y + 6. What is the greatest common divisor of 112 and y?", "a": "28" }, { "q": "Suppose -186*o - 1839 = -191*o + 1521. What is the greatest common divisor of 168 and o?", "a": "168" }, { "q": "Suppose -26 = -4*h - 14, -5*z + 687 = 4*h. Calculate the highest common divisor of 375 and z.", "a": "15" }, { "q": "Let s = 17 - -1. Let n(o) = -o**3 + 9*o**2 - 8*o + 92. Let i be n(11). Let h = -148 - i. What is the highest common divisor of s and h?", "a": "18" }, { "q": "Let b(d) = 8*d**2 - 5*d - 2. Let m be b(4). Suppose 102*f = m*f - 1320. What is the greatest common factor of f and 33?", "a": "33" }, { "q": "Let f = -1 + 28. Suppose 4*s = -f + 71. Calculate the greatest common factor of s and 99.", "a": "11" }, { "q": "Suppose c = -2*w + 26, -3*c - 3*w + 43 = -20. Suppose -c = -z + 20. What is the greatest common divisor of z and 108?", "a": "36" }, { "q": "Let v = 14 - 9. Let b = 2606 - 2601. Calculate the greatest common divisor of v and b.", "a": "5" }, { "q": "Suppose -22*f + 7 = -29*f. Let b be 40/3*((-344)/(-32) + f). Calculate the greatest common divisor of b and 13.", "a": "13" }, { "q": "Let h be 17402/121 + (-4)/(-22). Suppose 9*f - 3*f = 2*i + 60, -5*i - 42 = -3*f. What is the highest common factor of h and f?", "a": "9" }, { "q": "Let r = -1029 + 1034. What is the greatest common factor of r and 9?", "a": "1" }, { "q": "Let v(p) = -p**3 + 6*p**2 + 9*p - 20. Let o = 47 + -41. Let r be v(o). What is the highest common factor of 102 and r?", "a": "34" }, { "q": "Suppose 3*f - d = 54, 0 = -4*f - 0*d + d + 73. Let k = 2332 - 5458. Let z be k/(-15) - (7/5 - 2). What is the greatest common factor of f and z?", "a": "19" }, { "q": "Suppose -24*i = -20*i. Suppose 5*a + 73 - 3 = i. Let y be (a/(-42))/((-2)/(-66)). What is the greatest common divisor of 11 and y?", "a": "11" }, { "q": "Let p = 3568 + -2038. Calculate the greatest common factor of 34 and p.", "a": "34" }, { "q": "Let y = -2055 + 2070. Calculate the highest common factor of y and 1445.", "a": "5" }, { "q": "Suppose w + 2*f + 2*f = -34, 2*w - 3*f + 68 = 0. Let u = w + 41. Let y(c) = 63*c**2. Let j be y(1). What is the highest common factor of u and j?", "a": "7" }, { "q": "Let r(v) = 8*v**2 + 31*v + 270. Let a be r(-15). What is the highest common factor of a and 30?", "a": "15" }, { "q": "Let c(b) = b**3 - 11*b**2 - 57*b + 6. Let g be c(15). Calculate the highest common divisor of g and 1887.", "a": "51" }, { "q": "Let i = -75 + 131. Suppose -278 = 5*g + 2*o, -4*o = 6*g - 3*g + 164. Let c = g - -64. What is the greatest common factor of i and c?", "a": "8" }, { "q": "Let v(c) = -c**3 + 32*c**2 - 31*c + 5. Let u be v(31). Let l = 25 - 8. Suppose 2*j - l = 13. What is the highest common divisor of u and j?", "a": "5" }, { "q": "Suppose -89 - 82 = -9*p. Let s = 3 + p. Suppose c - 53 - 145 = 0. Calculate the highest common divisor of s and c.", "a": "22" }, { "q": "Let c be (-3 - (2 + (2 - 2))) + (3 - -7602). What is the highest common factor of c and 50?", "a": "50" }, { "q": "Let m(g) = -5*g + 89. Let w = 64 + -49. Let k be m(w). What is the greatest common factor of 140 and k?", "a": "14" }, { "q": "Suppose 7*m = 5*m + 204. Let l = 163 - m. Suppose 4 = 5*h - 3*r - l, 2*r = -3*h + 58. What is the greatest common factor of h and 16?", "a": "16" }, { "q": "Suppose 9*u - 2387 = -32*u + 1221. Calculate the greatest common divisor of 8 and u.", "a": "8" }, { "q": "Let y(s) = -s**3 - 8*s**2 - 14*s - 6. Let b be y(-6). Suppose -210 = -5*i + 3*l, -3*i - 70 = l - 210. Calculate the highest common divisor of b and i.", "a": "3" }, { "q": "Let r(u) = 3*u**2 + 23*u - 3. Let l be r(-8). Suppose -5*t = -4*m - 3*t + 746, -4*m - l*t = -781. Calculate the highest common factor of m and 7.", "a": "7" }, { "q": "Let t(f) = -2*f**3 - 5*f**2 + 16*f - 44. Let d be t(-7). Calculate the greatest common factor of 60 and d.", "a": "15" }, { "q": "Suppose h = -12 + 18. Suppose 135 = 5*m - 5*w, -h*m + 3*w = -11*m + 127. Calculate the greatest common factor of m and 13.", "a": "13" }, { "q": "Suppose 0 = -18*q + 236 + 1438. What is the greatest common factor of 682 and q?", "a": "31" }, { "q": "Let l = 3523 - 3419. Calculate the greatest common factor of l and 117.", "a": "13" }, { "q": "Let v = -1362 + 1558. What is the highest common factor of 637 and v?", "a": "49" }, { "q": "Let r be 16/6*3/2. Suppose -3*x = 4*w - 53, 0 = -r*x + 2*x - w + 27. Suppose 3*u - 68 + x = 0. What is the greatest common divisor of 38 and u?", "a": "19" }, { "q": "Suppose 21*r + 19200 = 121*r. What is the highest common factor of 48 and r?", "a": "48" }, { "q": "Let m be (164/(-123))/(0 + (-2)/3) + 122. What is the highest common factor of m and 868?", "a": "124" }, { "q": "Let k(b) = 22*b**3 - b**2 - b + 1. Let z be k(1). Let v(h) = -6*h + 1. Let l be v(-1). Suppose 8*j = l*j + 14. Calculate the highest common divisor of z and j.", "a": "7" }, { "q": "Let r be (-24)/324 - (-46188)/243. Calculate the highest common factor of r and 1615.", "a": "95" }, { "q": "Let p(v) = v**2 + 46*v + 327. Let t be p(-39). What is the highest common factor of t and 702?", "a": "54" }, { "q": "Suppose 3*s - 11 + 17 = 0. Let h be -5 - 1 - -41 - (s + 1). What is the greatest common divisor of h and 54?", "a": "18" }, { "q": "Let q(j) = 9*j**2 - 13*j + 16. Let r be q(-5). What is the greatest common divisor of 68 and r?", "a": "34" }, { "q": "Suppose 4*s - 19 = -51. Let f(p) be the first derivative of 2*p**3/3 - p**2 - 658. Let v be f(s). Calculate the highest common divisor of v and 18.", "a": "18" }, { "q": "Let k = 167 + -126. Let z = -17 + k. What is the highest common divisor of z and 8?", "a": "8" }, { "q": "Let m = -171 - -341. Let g = -7526 + 7594. What is the highest common divisor of m and g?", "a": "34" }, { "q": "Let i be (-25248)/(-864) + (-2)/9. Calculate the highest common divisor of 4843 and i.", "a": "29" }, { "q": "Let i(q) = 2*q**2 + 48*q - 46. Let b be i(-25). Suppose -b*f + 215 = f + 5*a, 0 = f - 2*a - 46. Calculate the highest common divisor of f and 11.", "a": "11" }, { "q": "Let u = 7 + -4. Suppose -1259*t + 1253*t + 54 = 0. Calculate the highest common divisor of u and t.", "a": "3" }, { "q": "Suppose -5*g - 341 = -3*l + 432, -2*l - g + 537 = 0. Calculate the greatest common factor of 434 and l.", "a": "14" }, { "q": "Suppose -5*p - 9 = 6*s - 4*s, 0 = 5*s - 2*p + 66. Let c(y) = -9*y - 74. Let q be c(s). Calculate the greatest common factor of 442 and q.", "a": "34" }, { "q": "Suppose 12*y - 2688 = -65*y + 5936. Calculate the highest common factor of y and 336.", "a": "112" }, { "q": "Let r be 31*(6 - (-13 - -6 - 0)). What is the greatest common divisor of r and 124?", "a": "31" }, { "q": "Let h(m) = 4*m - 2. Let x be h(0). Let a be x/6*1*-2*12. Suppose 5*r = p - 68 + a, 274 = 4*p - 3*r. Calculate the highest common factor of 14 and p.", "a": "14" }, { "q": "Let c(m) = -2*m - 77. Let u be c(16). Let s = u + 235. What is the highest common factor of s and 9?", "a": "9" }, { "q": "Let p be (-10 - -100)*(-1 + 6 + 0). Suppose 10*z = z + p. What is the highest common divisor of 10 and z?", "a": "10" }, { "q": "Suppose 5*h - 4*h - y - 13 = 0, -h + 18 = -2*y. Suppose -5*t + 3432 = h*t. What is the highest common factor of 33 and t?", "a": "33" }, { "q": "Let g = 591 - 191. Calculate the highest common factor of g and 175.", "a": "25" }, { "q": "Let r(k) = 502*k**2 + 21*k + 1. Let v be r(1). What is the greatest common factor of v and 2?", "a": "2" }, { "q": "Suppose -2*s = -0*s + 2*g + 6, -29 = -2*s + 5*g. Suppose 2*n = -5*z - 0*z + 84, 0 = -4*n - s*z + 136. What is the greatest common factor of 4 and n?", "a": "4" }, { "q": "Let p be (11 + -24 + 7)/((-12)/106). What is the highest common factor of 9 and p?", "a": "1" }, { "q": "Suppose -995 - 2017 = -16*g + 1548. Calculate the highest common factor of 171 and g.", "a": "57" }, { "q": "Let k(v) = v**3 + 14*v**2 - v + 18. Suppose -2*q - 25 = d - 4*d, 2*d + 72 = -5*q. Let f be k(q). Calculate the highest common divisor of 48 and f.", "a": "16" }, { "q": "Suppose -330*m = -319*m - 825. Calculate the highest common factor of 660 and m.", "a": "15" }, { "q": "Suppose 80*w - 79*w = 3*c - 1, -2*c = -5*w + 47. Let a be (-4)/(-3)*(-6)/(-4). Suppose -a*g - 26 = -268. Calculate the highest common divisor of g and w.", "a": "11" }, { "q": "Suppose 0 = 25*j - 3182 - 2868. Let l be ((-2)/(-4))/(-5 + j/48). What is the highest common factor of 24 and l?", "a": "12" }, { "q": "Let i(p) be the first derivative of 5*p**3/3 - 7*p**2/2 + 18*p - 68. Let h be i(4). Calculate the greatest common divisor of h and 56.", "a": "14" }, { "q": "Suppose 27 = 30*j - 27*j. Let o be -3*1/j*0. Suppose 3*z - 16 = h - 43, -4*h + 4*z + 108 = o. Calculate the highest common divisor of 3 and h.", "a": "3" }, { "q": "Let o(h) = -h + 25. Let n be o(-11). Let r(i) = 0*i**3 - i**3 - 3 + 14*i**2 - 10*i**2 + 3*i. Let w be r(4). What is the highest common factor of w and n?", "a": "9" }, { "q": "Let o be 41048/21 + -7 + 6/(-9). Calculate the greatest common divisor of 33 and o.", "a": "33" }, { "q": "Suppose h + 2*h + 2*d + 3 = 0, -2*h - 3*d - 7 = 0. Let s be ((-12)/24)/(h/16). Let p = 4 - s. What is the greatest common divisor of 8 and p?", "a": "4" }, { "q": "Let c(q) = 81*q + 313. Let m be c(-3). What is the greatest common factor of 224 and m?", "a": "14" }, { "q": "Suppose 5*h - 46 = -3*u, -h - u - 1 + 11 = 0. What is the highest common divisor of h and 1976?", "a": "8" }, { "q": "Suppose -4*q = 5*u + 3 - 1, 2*q - 2*u - 8 = 0. Let r be 5/(-15)*4*(-21)/q. What is the greatest common factor of r and 49?", "a": "7" }, { "q": "Suppose 0 = -358*d + 342*d + 48. What is the greatest common divisor of d and 165?", "a": "3" }, { "q": "Let u = -87 + 89. Suppose -5*y + u*y + 3*h = -3, -3*y = h - 11. Calculate the greatest common divisor of y and 2.", "a": "1" }, { "q": "Let a be (5 - -2)*5/(-2)*-2. Let h = a - 15. Let n = h + -12. Calculate the greatest common factor of n and 32.", "a": "8" }, { "q": "Let y(j) = j**3 + 8*j**2 - 33*j + 3. Let t be y(-11). Let k(r) = 7*r + 1. Let u be k(2). Let c = u + -3. Calculate the highest common divisor of c and t.", "a": "3" }, { "q": "Let x = -9 + 23. Let a be 6/21 - (-52)/x. Suppose 2*n = -5*t + 47 - 13, 3*t - 36 = a*n. What is the greatest common factor of 8 and t?", "a": "8" }, { "q": "Let t(u) = u**3 + 15*u**2 - 10*u - 16 - 12*u - 8*u**2. Let d be t(-9). What is the highest common factor of 340 and d?", "a": "20" }, { "q": "Let u(d) = d + 29. Let z(k) = -k**3 + 20*k**2 - 15*k - 66. Let s be z(19). Let w be u(s). What is the greatest common divisor of w and 156?", "a": "39" }, { "q": "Suppose 2*f + i - 9 = 0, f + 3*i - 12 - 5 = 0. Let r(a) = 2*a**2 + a + 2. Let j be r(f). Calculate the greatest common factor of j and 9.", "a": "3" }, { "q": "Suppose -47*n - 1148 + 2282 = 993. Let u(m) = m**2 + 21. Let k be u(0). What is the highest common divisor of n and k?", "a": "3" }, { "q": "Suppose 3*u + 3*g - 45 = -0*u, 5*g = -3*u + 37. Suppose -570 = -28*f + 18*f. What is the highest common divisor of f and u?", "a": "19" }, { "q": "Suppose 0 = -24*f + 19*f + 2345. Suppose 6*j - f = 71. Suppose -5*l + 59 = x - 31, -5*l + 2*x + j = 0. What is the highest common divisor of 12 and l?", "a": "6" }, { "q": "Suppose 0 = 5*b - 5. Let t = b + 6. Suppose 2*n + c = 153, 7*n - 4*c = 2*n + 389. What is the highest common divisor of n and t?", "a": "7" }, { "q": "Let d(s) = s**3 + 12*s**2 + 14*s - 11. Let r be d(-10). Let f be (114/(-4))/((-3)/8). Let j = f - r. Calculate the highest common factor of 3 and j.", "a": "3" }, { "q": "Let o(h) = h**2 + 10*h + 14. Suppose 7*u - 13*u + 30 = 0. Suppose -u*v + 0*v - 45 = 0. Let l be o(v). Calculate the highest common factor of 1 and l.", "a": "1" }, { "q": "Let t(s) = -s**2 - 3*s - 30. Let i be t(7). Let r = i - -184. Calculate the greatest common divisor of 12 and r.", "a": "12" }, { "q": "Suppose -u + 4*s = -3072, 4*s - 7171 + 1087 = -2*u. Calculate the greatest common factor of 7 and u.", "a": "7" }, { "q": "Suppose 0 = 8*l - 2*l - 408. Suppose -64*k + l*k = 92. Let c = 25 + -2. Calculate the greatest common factor of k and c.", "a": "23" }, { "q": "Let m(x) = 6 - 4 - x**2 - 4*x + 13*x. Let o be m(4). Calculate the highest common factor of 110 and o.", "a": "22" }, { "q": "Suppose 3*c + 700 = -2*c. Let j(z) = -107*z + 30. Let w be j(1). Let s = w - c. What is the highest common factor of s and 7?", "a": "7" }, { "q": "Let p be 3/12 - (-45)/12. Suppose -q - m = -34, 6*q = q + m + 158. What is the greatest common divisor of p and q?", "a": "4" }, { "q": "Let x be (-18)/(-9) - (165 + 2). Let c = x - -436. Suppose 0 = 5*t + 91 - c. Calculate the highest common factor of 180 and t.", "a": "36" }, { "q": "Let y(z) = -191*z + 514. Let d be y(-25). Calculate the greatest common divisor of d and 123.", "a": "123" }, { "q": "Suppose u = 3*j - 929, j - 67*u + 70*u - 293 = 0. What is the highest common divisor of 693 and j?", "a": "77" }, { "q": "Suppose -50 = -2*t + 2*g, -5*g = 10*t - 5*t - 165. Let h = -11 + t. What is the greatest common divisor of 171 and h?", "a": "9" }, { "q": "Let o be (5/10)/((-2)/(-28)). Let g be ((-3)/(-4))/((-123)/(-1148)). What is the greatest common factor of g and o?", "a": "7" }, { "q": "Suppose 14*h - 22 = -8*h. Let a be 2 + 4 + h + 4. Calculate the greatest common factor of a and 121.", "a": "11" }, { "q": "Let l be (14/(-10))/(152/(-1520)). What is the greatest common divisor of l and 896?", "a": "14" }, { "q": "Let l(y) = -y**3 + 31*y**2 - 170*y - 43. Let a be l(23). What is the greatest common divisor of 93 and a?", "a": "93" }, { "q": "Let u be -2 - -1 - 4*(-20)/16. Let a be 6/u*(-20)/(-2). Calculate the greatest common divisor of 285 and a.", "a": "15" }, { "q": "Let m(c) = c**3 + 21*c**2 - 15*c + 3. Let a be m(-20). What is the greatest common divisor of a and 76?", "a": "19" }, { "q": "Let g(i) = 145*i**3 - 2*i**2 - 44*i + 121. Let b be g(3). Calculate the highest common factor of b and 116.", "a": "58" }, { "q": "Let w be (-23)/(-2)*3*2. Suppose 0 = 5*i + d - 22, -2*i - 4*d = 1 + 1. Suppose 322 = 19*g - i*g. Calculate the greatest common divisor of g and w.", "a": "23" }, { "q": "Let r = 169 - 169. Suppose -2*u + 53 + 19 = r. What is the highest common divisor of u and 24?", "a": "12" }, { "q": "Let y(g) = g**3 - 44*g**2 - 192*g + 195. Let x be y(50). Calculate the highest common divisor of 15 and x.", "a": "15" }, { "q": "Suppose -464*h = -513*h + 61495. What is the highest common divisor of h and 5?", "a": "5" }, { "q": "Suppose 5*g - 26 + 1 = 0, g = 4*b - 163. Let p = 1814 + -1744. What is the greatest common factor of b and p?", "a": "14" }, { "q": "Suppose -84 = -2*v + 4*l, 3*l = 4*v + 13 - 156. Let z = v + -18. Let b = 16 - z. What is the greatest common divisor of b and 4?", "a": "2" }, { "q": "Let j = -29 + 36. Suppose -123 = -5*g - 10*a + j*a, -2*a - 143 = -5*g. Calculate the greatest common factor of 45 and g.", "a": "9" }, { "q": "Let x = 4896 + -4874. What is the highest common factor of 77 and x?", "a": "11" }, { "q": "Let w = 2875 - 2807. What is the greatest common divisor of w and 6868?", "a": "68" }, { "q": "Suppose 51*f + 8117 = 103*f - 24955. What is the greatest common factor of 60 and f?", "a": "12" }, { "q": "Let l(j) = -j**3 + j + 2. Let o be l(0). Suppose -4*i + 2 = -4*z - z, 3*i = o*z + 5. Let y = i + 0. Calculate the greatest common divisor of y and 33.", "a": "3" }, { "q": "Let h(d) = d**2 + 2*d. Let v be h(1). Let x be (7/(-4))/(v/(-12)). What is the highest common factor of 35 and x?", "a": "7" }, { "q": "Suppose -624*x = -622*x - 112. What is the highest common divisor of 8512 and x?", "a": "56" }, { "q": "Suppose -q = -3*f + 5, -q + 2*f = 3*f - 7. Let d be (-6)/(-2 + q - 3). Suppose 2*w = d, -w - 96 = -2*s + 3*w. What is the greatest common factor of s and 6?", "a": "6" }, { "q": "Let s(a) = -27*a - 38. Suppose 0 = -l - 4*y - 19, 2*l - 2*y - 2*y + 38 = 0. Let i be s(l). Calculate the highest common divisor of i and 25.", "a": "25" }, { "q": "Let v = 228 + -228. Let b be 30/10 + 9 + v. Calculate the greatest common factor of b and 252.", "a": "12" }, { "q": "Let g(v) = 3241*v**2 - 68*v + 70. Let b be g(1). What is the greatest common factor of 282 and b?", "a": "141" }, { "q": "Let m = 38 - 26. Let y be ((-8)/(-3)*1)/(2/(-3444)). Let v be 1 + (1/(-5) - y/35). Calculate the highest common factor of m and v.", "a": "12" }, { "q": "Let k(w) = -12*w + 156. Let u be k(-6). Calculate the greatest common divisor of 8 and u.", "a": "4" }, { "q": "Suppose 23 - 543 = -5*x. Let u be ((-260)/(-35))/((-18)/(-189)). Calculate the greatest common factor of u and x.", "a": "26" }, { "q": "Let t = 2627 - 2543. Calculate the highest common factor of t and 1452.", "a": "12" }, { "q": "Let q(u) = 8 - 17 + u**2 + 3 + 7*u. Let s be q(1). Calculate the highest common factor of 7 and s.", "a": "1" }, { "q": "Let d = 354 + -189. Suppose -2*b = -4*s + 190, -344 = 4*b - s + 2*s. Let j = b - -120. What is the greatest common factor of j and d?", "a": "33" }, { "q": "Let s = 177 - 163. Let b = -10 - -14. Let r be (2 + (-43)/b)*-4. What is the greatest common divisor of r and s?", "a": "7" }, { "q": "Let p(w) = 52*w - 13. Let o(d) = d - 3. Let n be o(6). Suppose 2*m = n*m - 3. Let h be p(m). Calculate the greatest common divisor of 13 and h.", "a": "13" }, { "q": "Suppose 26 = 2*q + 2. Let o be ((-8)/q)/((-2)/21). Suppose 0*u + o*u - 112 = 0. Calculate the highest common divisor of 176 and u.", "a": "16" }, { "q": "Suppose 35*r - 67*r = -23*r - 945. Calculate the greatest common divisor of 595 and r.", "a": "35" }, { "q": "Let q(c) = c**3 + 12*c**2 - 15*c - 5. Let p = 160 - 173. Let t be q(p). What is the greatest common divisor of 273 and t?", "a": "21" }, { "q": "Suppose -67 - 698 = -17*s. What is the greatest common divisor of s and 2?", "a": "1" }, { "q": "Let s = 19 - 723. Let f be -4*(-265)/22 + 128/s. Calculate the highest common divisor of 144 and f.", "a": "48" }, { "q": "Let x(y) be the second derivative of 11*y**3/3 - 3*y. Let q be x(4). Let p = -2 + 10. Calculate the greatest common divisor of q and p.", "a": "8" }, { "q": "Let h be 32/(-2) + 10 - (-2576)/4. What is the greatest common divisor of h and 22?", "a": "22" }, { "q": "Let s be 30816/162 + (-6)/27. Suppose -3*a + w + s = -3*w, -8 = 2*w. What is the greatest common factor of 29 and a?", "a": "29" }, { "q": "Suppose 94*a - 198*a = -10296. Calculate the highest common divisor of a and 143.", "a": "11" }, { "q": "Suppose 16 = 4*d, 3*d = 2*x + 5 - 1. Let g(w) = -w**3 - 8*w**2 + w - 20. Let v be g(-9). Calculate the highest common divisor of x and v.", "a": "4" }, { "q": "Let o(h) = 2*h - 9. Let g(f) = -8*f + 34. Let d(k) = -6*g(k) - 26*o(k). Let i be d(6). What is the highest common factor of i and 6?", "a": "6" }, { "q": "Let j be -3*(-5 - -7) - -159. Suppose -73*b + 76*b = j. What is the highest common factor of 3 and b?", "a": "3" }, { "q": "Let d = -11 - -32. Suppose 6*i - 18*o - 446 = -20*o, 4*o + 32 = 0. What is the highest common factor of i and d?", "a": "7" }, { "q": "Suppose 12*o = -4*y + 8*o + 172, -2*y + o = -83. What is the highest common factor of y and 623?", "a": "7" }, { "q": "Let t be (-214434)/(-1485) + (-2)/5. What is the highest common divisor of t and 21?", "a": "3" }, { "q": "Suppose 4*q - 3276 = -q - 4*q. What is the greatest common divisor of q and 455?", "a": "91" }, { "q": "Let u = 1175 - 539. Suppose -w + u = 5*w. Suppose 3*c + c - w = -2*x, -2*x - 6 = 0. Calculate the greatest common divisor of c and 56.", "a": "28" }, { "q": "Let a be (3*1*-3)/((-86)/2494). Calculate the highest common divisor of a and 435.", "a": "87" }, { "q": "Let f be 124/93*(7 + 2). Let w(z) = 2*z + 1 + 6*z**3 - 2 - 4*z**2 + 1. Let v be w(3). Calculate the greatest common divisor of v and f.", "a": "12" }, { "q": "Suppose 0 = -4*z - 12, -2*s + 0*s + 64 = -4*z. Let v be (2/15 - 0) + (-109060)/(-1050). Calculate the greatest common factor of s and v.", "a": "26" }, { "q": "Let g = 13 - -6. Let v(b) = -4*b. Suppose -2*q = 2*q - 4*d + 88, -q = -3*d + 28. Let n be v(q). Calculate the greatest common divisor of g and n.", "a": "19" }, { "q": "Let k(p) = -117*p - 2805. Let t be k(-24). Suppose -2*i = 4*q - 2*q - 70, -3*i + 171 = 5*q. What is the highest common divisor of t and q?", "a": "3" }, { "q": "Let n be 19 - (-1 + 2) - 1. Let s(x) = 286*x - 14685. Let j be s(52). Calculate the highest common divisor of n and j.", "a": "17" }, { "q": "Let m(v) = 3*v**2 - 26*v + 44. Let l be m(7). Suppose -94 = -3*h + 5*r + 188, 4*r - 210 = -2*h. What is the greatest common divisor of l and h?", "a": "9" }, { "q": "Let y be -2 - 3/((-18)/3246). What is the greatest common divisor of 35 and y?", "a": "7" }, { "q": "Let d(s) = 17*s**2 - 55*s + 309. Let k be d(5). What is the highest common factor of 68 and k?", "a": "17" }, { "q": "Suppose 78*q - 10765 = 4055 + 18642. What is the greatest common divisor of 132 and q?", "a": "33" }, { "q": "Suppose 5*r - 50 = 15. Let i(y) = -y**3 + 9*y**2 + 21*y - 4. Let p be i(11). Let c be 10/p + (-3 - (-1320)/9). Calculate the greatest common factor of r and c.", "a": "13" }, { "q": "Let a = -658 + 2450. What is the greatest common divisor of a and 336?", "a": "112" }, { "q": "Let b(x) = -3*x - 23. Let g = 93 + -120. Let i be b(g). What is the highest common factor of i and 464?", "a": "58" }, { "q": "Let n = 3876 - 2700. What is the greatest common divisor of 24 and n?", "a": "24" }, { "q": "Suppose -2*i - 2 = -12. Suppose 0 = -g + 4*n + 87, -5*n = -i*g - 2*n + 350. Let w = g - 21. Calculate the highest common factor of 184 and w.", "a": "46" }, { "q": "Let j be (10/15)/(4/30). Suppose -y = y - 5*d - 43, -j*y + 5*d = -115. Calculate the highest common factor of y and 32.", "a": "8" }, { "q": "Let h(t) = -t**3 - 5*t**2 + 4*t - 8. Let m = 18 + -24. Let d be h(m). Suppose d*q = -q + 90. What is the greatest common divisor of q and 6?", "a": "6" }, { "q": "Let h = -8 - -12. Suppose r = h*y - 21, y + 37 = -5*r + 4*y. Let l be 24*(-1 + r/(-2)). What is the highest common factor of l and 54?", "a": "18" }, { "q": "Let h be (1026/(-95))/((-4)/50). Calculate the greatest common divisor of 1710 and h.", "a": "45" }, { "q": "Let i = 4556 - 4538. What is the highest common factor of i and 258?", "a": "6" }, { "q": "Let m = 157 - -59. Suppose 2*w - m = -2*w. Let o be 565/7 + (1 - (-25)/(-35)). What is the highest common factor of o and w?", "a": "27" }, { "q": "Suppose -163*y - 165 = -174*y. What is the greatest common factor of y and 1695?", "a": "15" }, { "q": "Let l be ((-21)/6 - -3)*-134. Let j = -27 + l. Let t be -4*(-5 + 3 + 1). What is the highest common factor of j and t?", "a": "4" }, { "q": "Let c(u) = -1. Let f(j) = j**2 - 8*j - 10. Let n(k) = 6*c(k) - f(k). Let a be n(4). Suppose -2*q + 16 = -a. What is the highest common factor of q and 9?", "a": "9" }, { "q": "Suppose -4*z = -5*j + 26, 3*j - 5*j + 3*z + 16 = 0. Let f(t) = 5*t**2 + 7. Let q be f(j). Calculate the highest common divisor of q and 108.", "a": "27" }, { "q": "Suppose -5 = -5*k, 5*h = 6*k - 2*k - 179. Let l be (-2 + 1)/((-5)/h). Let d(p) = 2*p + 19. Let w be d(l). What is the highest common divisor of w and 35?", "a": "5" }, { "q": "Let h be 17280/104 + (-1)/(-13)*-2. Let l be -3*h/(-21) + (-2)/(-7). What is the highest common factor of l and 8?", "a": "8" }, { "q": "Let p be 74/10 + 4/(-10). Let m(g) = -13*g + 359 - 2*g**3 - 12*g**2 - 193 - 181. Let y be m(-6). Calculate the greatest common divisor of y and p.", "a": "7" }, { "q": "Let v = -153 + 172. Let h = 110 - 287. Let r = 253 + h. What is the highest common divisor of v and r?", "a": "19" }, { "q": "Let l(n) = 9*n**3 - 9*n**2 + 5*n - 1. Let f(x) = -x**2 - 3*x + 20. Let k be f(-6). Let i be l(k). What is the greatest common factor of 18 and i?", "a": "9" }, { "q": "Let i be (-1506)/18 - (-2)/(-6). Let n = i + 102. What is the greatest common divisor of 2 and n?", "a": "2" }, { "q": "Let g(j) = -49*j + 29. Let y be g(-4). Let u = 280 - y. Calculate the highest common divisor of 165 and u.", "a": "55" }, { "q": "Let c be (-231)/(-12 - -1) - 5. Let o(l) = -l - 3. Let i be o(-7). What is the highest common divisor of i and c?", "a": "4" }, { "q": "Suppose 0 = -3*d + 3*n + 105, 0 = 4*d + d + 2*n - 203. Suppose -d*b + 280 = -34*b. What is the greatest common factor of b and 28?", "a": "28" }, { "q": "Let i = 46 + -30. Let j(r) be the first derivative of r**3/3 - 5*r**2 + r + 12. Let m be j(13). What is the greatest common divisor of i and m?", "a": "8" }, { "q": "Let n be (-3586)/(-88) - ((-7)/(-4) - 1). Calculate the highest common factor of n and 55.", "a": "5" }, { "q": "Let c = -138 + 242. Suppose 116 = 4*q - c. What is the highest common factor of q and 605?", "a": "55" }, { "q": "Suppose 0 = 5*b - 0*b + 262 - 362. What is the highest common divisor of 230 and b?", "a": "10" }, { "q": "Suppose -3*n = -11 - 1. Let x(b) = -b. Let q(i) = -2*i. Let k(y) = q(y) + 5*x(y). Let v be k(-4). What is the greatest common factor of v and n?", "a": "4" }, { "q": "Let b = 2039 + -1248. What is the greatest common factor of 113 and b?", "a": "113" }, { "q": "Suppose 336 = 2*a + 12*a. Let k = 273 + -249. Calculate the highest common factor of k and a.", "a": "24" }, { "q": "Let f = 4832 + -4829. What is the greatest common factor of f and 573?", "a": "3" }, { "q": "Let z be (-3 - -1)/4*(-78)/3. Suppose -17*s + 38 = 2*s. What is the greatest common factor of s and z?", "a": "1" }, { "q": "Let p(v) = 2*v**3 + 2*v**2. Let l be p(2). Let a = -3 + l. Let k = -576 - -660. Calculate the highest common divisor of k and a.", "a": "21" }, { "q": "Suppose 0 = 22*i - 27*i + 150. Let l = i + 114. What is the greatest common divisor of 18 and l?", "a": "18" }, { "q": "Suppose 4*g + 2*i - 1059 - 1363 = 0, -3*i + 3028 = 5*g. Calculate the highest common factor of 5 and g.", "a": "5" }, { "q": "Suppose -14*h + 29*h = 300. Let c(m) = -16*m - 2. Let j be c(-12). What is the highest common divisor of h and j?", "a": "10" }, { "q": "Let k = 3211 - 3173. What is the highest common divisor of 532 and k?", "a": "38" }, { "q": "Let c(a) = -a**3 + 15*a**2 - 12*a - 27. Suppose -5*w - 18*w = -299. Let z be c(w). What is the highest common factor of 5 and z?", "a": "5" }, { "q": "Let o = -4698 + 4851. Suppose a + 2*z - 55 = 0, 3*a - 3*z = -2*z + 151. Calculate the highest common divisor of a and o.", "a": "51" }, { "q": "Let o = -4 - -13. Let p = 2549 - 2477. What is the greatest common divisor of p and o?", "a": "9" }, { "q": "Suppose 5*h + 0*h - 5 = 0. Let z be h/3 - (-207)/27. Let l(t) = 2*t**2 - 10*t + 8. Let y be l(z). Calculate the highest common divisor of 7 and y.", "a": "7" }, { "q": "Suppose 0 = -3*u + 10*u - 287. Suppose 0 = -9*f + 10*f - u. Suppose 22 = 3*g - f. What is the highest common factor of g and 42?", "a": "21" }, { "q": "Suppose 15*y = 6*y - 162. Let k be y/(-144) + ((-1581)/(-8))/3. What is the highest common factor of 110 and k?", "a": "22" }, { "q": "Let q be 32/22 - 48/(-88). Suppose 2*b + 58 = q*a + 3*a, -65 = -5*a - 5*b. Suppose 0 = -3*f + 35 + 1. Calculate the highest common divisor of f and a.", "a": "12" }, { "q": "Let f = -11212 + 11342. Suppose -4*v + 150 = 5*n, 0*n + 2*n - v - 47 = 0. What is the greatest common factor of n and f?", "a": "26" }, { "q": "Let b be 179/3 - 3/(-9). Suppose 2*f - 10 = 0, 0*f - f - 7495 = -5*j. Suppose 0 = -2*r + 12*r - j. What is the greatest common factor of r and b?", "a": "30" }, { "q": "Let w = 5102 - 4638. What is the highest common divisor of 176 and w?", "a": "16" }, { "q": "Suppose 1954 = 7*t + 1506. What is the highest common factor of 464 and t?", "a": "16" }, { "q": "Suppose -x = 7*f - 405, x = 6*x + f - 2127. Calculate the greatest common factor of 18 and x.", "a": "6" }, { "q": "Let o(v) = 13*v**2 + 8*v - 7. Suppose 8*k + 4 = 12*k. Let j be o(k). Calculate the greatest common divisor of j and 7.", "a": "7" }, { "q": "Let g = 204 + -203. Let n be ((728/24)/(-13))/(g/(-9)). Calculate the highest common factor of n and 525.", "a": "21" }, { "q": "Let b = -4127 + 4150. What is the greatest common divisor of 1012 and b?", "a": "23" }, { "q": "Suppose 3*b - 348 = -444*n + 449*n, 3*b - 369 = -2*n. Calculate the highest common divisor of b and 11.", "a": "11" }, { "q": "Let v(f) = f**3 + 5*f**2 + 3*f - 6. Let u be v(4). Let a(b) = -b**3 - 12*b**2 + 112*b + 76. Let h be a(6). What is the greatest common factor of u and h?", "a": "50" }, { "q": "Let q(o) = -672*o - 1627. Let s be q(-6). Calculate the highest common factor of 65 and s.", "a": "65" }, { "q": "Let t = 137 - 67. Suppose -84 - 26 = 11*h. Let n(v) = -v**3 - 10*v**2 + 10. Let w be n(h). What is the greatest common divisor of t and w?", "a": "10" }, { "q": "Let l(u) = u**2 - 3*u - 2. Let x be l(7). Suppose 881*y + 1040 = 891*y. What is the highest common divisor of x and y?", "a": "26" }, { "q": "Suppose u = x + 4, -12 = 44*x - 47*x. What is the highest common divisor of 1252 and u?", "a": "4" }, { "q": "Let g(d) = -47*d + 2. Let w be g(-2). Suppose -5*r + 9*r - 16 = 0. Suppose w = 7*x - r*x. What is the highest common factor of 4 and x?", "a": "4" }, { "q": "Let h = -4037 + 4065. What is the greatest common divisor of 707 and h?", "a": "7" }, { "q": "Suppose 0 = -5*x - 2*f - 473, -5*x - f = -0*f + 474. Let k(p) = -12*p + 41. Let d be k(-13). Let y = d + x. What is the highest common divisor of y and 17?", "a": "17" }, { "q": "Let l(u) = -11*u - 11. Let g be l(-14). Let i = g + -109. What is the greatest common factor of 17 and i?", "a": "17" }, { "q": "Let q be (-33990)/(-135) - (-2 + (-48)/(-27)). What is the greatest common divisor of 462 and q?", "a": "42" }, { "q": "Let s(d) = -76*d**3 - 2*d**2 - 2*d - 1. Let h be s(-1). Suppose 690 = -0*w + 12*w + 11*w. Calculate the greatest common divisor of h and w.", "a": "15" }, { "q": "Let n(i) = i**2 + 8*i + 14. Let h be n(-2). Let x be (-68)/(-4) - (0 + (-6)/h). What is the highest common divisor of 10 and x?", "a": "10" }, { "q": "Suppose 2*z = 5*f - 28, 2*f - 3*z - 20 = -0*z. Let s = f + 8. Let i be ((-18)/15)/(s/(-30)). What is the highest common divisor of 21 and i?", "a": "3" }, { "q": "Suppose 6*v = 19*v - 26. Suppose -v*m = -m + 4*a - 365, -5*a = 4*m - 1438. What is the highest common divisor of m and 21?", "a": "21" }, { "q": "Let j(s) = 5*s**2 - 9*s + 194. Let n be j(9). Calculate the highest common divisor of n and 333.", "a": "37" }, { "q": "Let y = -29 + 14. Let q = 14 + y. Let v(k) = 11*k**2 + k. Let b be v(q). Calculate the greatest common factor of b and 80.", "a": "10" }, { "q": "Suppose 3*q = 2*q + 45. Suppose -t + 0*r - 3*r + q = 0, 150 = 4*t - 3*r. Let g = t - 11. What is the greatest common divisor of g and 112?", "a": "28" }, { "q": "Let o(k) = -k**2 - 4*k. Let l be o(-3). Suppose -28*f - 26 = -2*f. Let h be 1 + (6 - f) - -1. Calculate the greatest common factor of l and h.", "a": "3" }, { "q": "Let c(n) = -31*n + 2. Let z be c(-2). Suppose j + 11*j = 120. Suppose -169 = -j*u - 9. What is the greatest common divisor of u and z?", "a": "16" }, { "q": "Suppose -317 + 360 = 20*n - 617. Calculate the greatest common factor of n and 176.", "a": "11" }, { "q": "Let a(o) = -2*o**3 - 189*o**2 - 455*o + 470. Let r be a(-92). Suppose -3*c - 16 = c. Let q be c/3*(-2 + -1). Calculate the highest common divisor of r and q.", "a": "2" }, { "q": "Let u be (-96)/36*(-6)/4. Suppose 4*v - 5*j + 35 - 135 = 0, j - 100 = -u*v. Let b be (-36)/21 - -2 - 1573/(-7). Calculate the highest common divisor of b and v.", "a": "25" }, { "q": "Let j(v) = 8*v**3 - v**2 + v + 2. Let x be j(2). Let q = 6509 + -6505. What is the highest common divisor of x and q?", "a": "4" }, { "q": "Let w(z) = -39*z + 451. Let k be w(0). Calculate the highest common factor of k and 11.", "a": "11" }, { "q": "Let w = -67 - -44. Let j be w - (-2 + (4 - 1)). Let a = -4 - j. What is the highest common divisor of 160 and a?", "a": "20" }, { "q": "Suppose -j + 1 = 0, 4*t + 306 = 4*j - 222. Let q = t + 137. What is the greatest common divisor of 6 and q?", "a": "6" }, { "q": "Let z be 14210/20*24/42. Calculate the highest common divisor of z and 70.", "a": "14" }, { "q": "Let i(p) = p**2 - 8*p - 83. Let c be i(-6). Suppose 4 = -3*v + c, 3*w + 2*v - 13 = 0. What is the highest common divisor of w and 190?", "a": "5" }, { "q": "Suppose 2*b = g + 3*b - 17, 4*g - 62 = -2*b. Suppose 48 = g*x - 64. What is the greatest common divisor of x and 2?", "a": "2" }, { "q": "Suppose 0 = 86*o - 82*o - 8. Suppose -3*r + 3*u = -30, 2*r = -o*r - u + 25. What is the greatest common divisor of 1 and r?", "a": "1" }, { "q": "Let q be 5/3*(5 - 2). Suppose 0 = 3*x - 3, -q*b + 3*b = 2*x - 42. Calculate the greatest common factor of 8 and b.", "a": "4" }, { "q": "Let l be (0 - 0) + 8 + -5 + -1. Suppose 0 = -l*h + 525 + 401. Suppose 4*y - m = h, -7 = -2*m + 3. Calculate the greatest common divisor of 13 and y.", "a": "13" }, { "q": "Let f = -37 + 73. Let q(s) = 2*s**2 + 2*s - 6. Suppose -65 + 23 = 7*n. Let l be q(n). What is the greatest common divisor of f and l?", "a": "18" }, { "q": "Let l = -67 + 150. What is the greatest common divisor of l and 4565?", "a": "83" }, { "q": "Let s = -23 + 35. Suppose -3 - 5 = -5*b + 2*h, 8 = -b - 2*h. Suppose -2*y - 4*o = -76, b = y - 6*y + 2*o + 178. Calculate the greatest common factor of s and y.", "a": "12" }, { "q": "Suppose 0 = s - 3*l + 2*l - 34, 5*s - l - 162 = 0. Let k = 15 - -33. What is the greatest common factor of s and k?", "a": "16" }, { "q": "Suppose -3*y = -k + 155, -4*k + 2*y + 458 = -162. Suppose 69 = 2*m - k. Let t be 81/6 + (-1)/(-2). Calculate the greatest common factor of t and m.", "a": "14" }, { "q": "Suppose 119*n = 40*n + 7189. What is the highest common factor of n and 858?", "a": "13" }, { "q": "Let a = -585 + 1172. Suppose -2*x - 5*w = -a, 0 = 4*w + 5 + 15. What is the highest common factor of 18 and x?", "a": "18" }, { "q": "Let n(t) = 67*t**2 - 2. Let j be n(2). Let x = -222 + j. Let d(g) = -5*g - 4. Let y be d(-3). What is the highest common divisor of y and x?", "a": "11" }, { "q": "Let c be 2/(-5) + (-1757)/(-5). Let m(d) = d**3 + 16*d**2 - d - 3. Let r be m(-16). What is the highest common factor of c and r?", "a": "13" }, { "q": "Let z be (-8)/4 + 1 + 8. Let q be z/(-2 - 39/(-18)). Let x = -15 + q. What is the greatest common divisor of x and 9?", "a": "9" }, { "q": "Let l be ((-21)/6)/(2/(-4)). Let k(n) = 8*n - 142. Let v be k(18). Calculate the greatest common factor of v and l.", "a": "1" }, { "q": "Let d(z) = z**2 + 9*z - 53. Let v be 12*-4*(-1)/8. Let w be d(v). Calculate the greatest common factor of w and 74.", "a": "37" }, { "q": "Let s be (5/(-3))/((2/(-5))/(234/65)). Calculate the greatest common divisor of s and 650.", "a": "5" }, { "q": "Let k(m) = m**3 + 6*m**2 + 5*m + 1. Let s be k(-4). Suppose -2*b - p = -42 - 606, 5*p = 0. Let w = -181 + b. Calculate the highest common divisor of s and w.", "a": "13" }, { "q": "Let g(p) = p**2 - 17*p + 3. Let z be g(17). Suppose -3*n = -5*y - 15 - 28, 12 = z*y. What is the greatest common factor of 42 and n?", "a": "21" }, { "q": "Suppose -8*u + 1398 = 4*h - 6*u, h - 362 = 2*u. What is the highest common factor of 112 and h?", "a": "16" }, { "q": "Suppose -y + 35 = 34*i - 32*i, -4*y + 125 = 3*i. What is the highest common factor of 2581 and y?", "a": "29" }, { "q": "Let k = 31 + -23. Suppose k*g + 84 = 20*g. What is the greatest common divisor of g and 2?", "a": "1" }, { "q": "Suppose 90 = -5*o - 3*j, -2*o - 13*j = -10*j + 36. Let h be 2/(-4)*2 + (-1 - o). Calculate the highest common divisor of 8 and h.", "a": "8" }, { "q": "Let w be (-16)/24*(1 - 4). Suppose w*u = 106 - 30. Calculate the greatest common factor of u and 4.", "a": "2" }, { "q": "Let p be (-1515)/12 - (-8)/32. Let k = p + 159. Calculate the highest common factor of k and 44.", "a": "11" }, { "q": "Let p(l) = l**2 - 12*l + 15. Let a be p(8). Let x = a + 31. Calculate the greatest common factor of x and 42.", "a": "14" }, { "q": "Let y = -68 - -41. Let a be 9/y*3*-1*78. What is the greatest common factor of 12 and a?", "a": "6" }, { "q": "Suppose -10*k = -6*k - 28. Suppose 3*m - k*m + 20 = 0. Let n = 2 + m. What is the highest common divisor of 28 and n?", "a": "7" }, { "q": "Let v(b) = 136*b + 123 - 64*b - 61*b. Let r be v(-11). Calculate the highest common factor of r and 22.", "a": "2" }, { "q": "Suppose -5*a + 3*c = -5375, 21*a - 22*a + 2*c + 1082 = 0. Calculate the highest common factor of a and 335.", "a": "67" }, { "q": "Suppose p + 104 - 102 = 0. Let o(j) be the first derivative of -23*j**2/2 + 6*j + 4. Let h be o(p). Calculate the greatest common divisor of h and 78.", "a": "26" }, { "q": "Let q(g) = -3*g - 17. Let k be 10/4*((-4)/5 + 0). Let c be -8 - (14/(-21))/(k/3). Let f be q(c). Calculate the highest common divisor of 5 and f.", "a": "5" }, { "q": "Suppose 0 = 4*x - 18*j + 16*j - 118, -34 = -x + 5*j. Calculate the highest common factor of x and 4031.", "a": "29" }, { "q": "Suppose -m = -2*n - 2, 5*m = n + 8 + 2. Suppose 0 = 4*v + c - 18, -5*v + 15 = 3*c + 2*c. Let r = v - m. What is the greatest common divisor of 30 and r?", "a": "3" }, { "q": "Let v = -2992 - -4263. What is the highest common factor of v and 155?", "a": "31" }, { "q": "Let k be ((-17)/2)/(-3 + 335/110). Let v = -172 - k. What is the greatest common divisor of v and 45?", "a": "15" }, { "q": "Suppose 1690 + 162 = 2*n. Suppose -2*t + 5*o - 2*o + 906 = 0, 2*t - n = -2*o. What is the highest common divisor of 17 and t?", "a": "17" }, { "q": "Let w be (-4367)/(-55) - (-1 - (-4)/10). Suppose 2*u - 3*u + 32 = 0. Calculate the greatest common divisor of u and w.", "a": "16" }, { "q": "Suppose -2*y + 5*q + 3361 = 0, -3*y + 5*q + 3395 + 1654 = 0. What is the highest common divisor of 16 and y?", "a": "8" }, { "q": "Suppose 16 = -5*u + 46. Suppose g - 24 = u. Suppose g = 7*n - 19. What is the highest common factor of n and 1?", "a": "1" }, { "q": "Suppose 5*g - 590 = 3*t, -4*g + 472 = -0*t + 2*t. Let r = -10 + g. Calculate the greatest common divisor of 27 and r.", "a": "27" }, { "q": "Let x = 83 + -262. Let r = x + 221. What is the greatest common divisor of r and 14?", "a": "14" }, { "q": "Let q(w) = -w**2 + 2*w. Let a be q(4). Let f = 7 - a. Let m(i) = -i**3 - 18*i**2 - 23*i - 97. Let b be m(-17). What is the greatest common factor of f and b?", "a": "5" }, { "q": "Let c = 270 - 256. Let j(n) = n**2 + n + 56. Let p be j(0). What is the highest common divisor of p and c?", "a": "14" }, { "q": "Let m(v) = -v**3 - 13*v**2 - 12*v + 19. Let u be m(-12). Suppose 13*y = -u + 292. What is the greatest common divisor of 7 and y?", "a": "7" }, { "q": "Let n be -15*11/(-220) + (3 - 90/(-8)). What is the highest common factor of 384 and n?", "a": "3" }, { "q": "Let n(z) = -30*z + 702. Let f be n(22). Calculate the greatest common divisor of f and 1806.", "a": "42" }, { "q": "Let k be 2213/(-2) + (-18)/36. Let x be k/(-36) + (-6)/8. Let v(d) = -d**2 - 18*d - 11. Let m be v(-17). Calculate the highest common divisor of m and x.", "a": "6" }, { "q": "Suppose 14749 = -19*g + 26402 + 21863. What is the greatest common divisor of g and 7?", "a": "7" }, { "q": "Let y = 1609 + -1277. Calculate the greatest common divisor of y and 4.", "a": "4" }, { "q": "Let s(c) = -3*c**2 - 119*c - 14. Let z be s(-28). What is the greatest common divisor of z and 168?", "a": "42" }, { "q": "Suppose -5*m = -t + 1240, -5*t + 2385 = 4*m - 3931. What is the highest common factor of t and 108?", "a": "36" }, { "q": "Suppose -3 + 15 = 12*y. Let o = 14 - -9. What is the highest common divisor of y and o?", "a": "1" }, { "q": "Let u(p) = 139*p - 2. Let z be u(1). Let h = z - 85. Calculate the greatest common divisor of 13 and h.", "a": "13" }, { "q": "Let q be (6 - (-887 + -2)) + -2 + 2/(-1). Calculate the highest common divisor of 198 and q.", "a": "99" }, { "q": "Suppose 1530 = -y + 6*y. Let i = 7593 - 7559. What is the highest common divisor of i and y?", "a": "34" }, { "q": "Suppose 0 = 18*y - 19*y. Let i(j) = -j + 5. Let u be i(y). Suppose u*n - 66 = 14. Calculate the greatest common factor of 144 and n.", "a": "16" }, { "q": "Let t(p) = 2*p**2 + 60*p + 180. Let w be t(-28). What is the greatest common factor of 8 and w?", "a": "4" }, { "q": "Let o = -213 + 216. Suppose 0 = -o*m - 2*k + 53, -m + 2*k + 0*k = -31. What is the highest common divisor of m and 231?", "a": "21" }, { "q": "Let t be ((-54)/(-15))/(2/10). Let c be (4 + 18 - 4)/(8/16). What is the highest common divisor of t and c?", "a": "18" }, { "q": "Suppose -6*u + 165 = -17*u. Let p = u + 30. Suppose 15 = 3*x + 5*t, x = -4*x + 5*t + 65. What is the highest common divisor of x and p?", "a": "5" }, { "q": "Let x be 1/7 - (-3275)/7. Suppose 0 = -132*r + 131*r + x. Calculate the greatest common factor of 52 and r.", "a": "52" }, { "q": "Suppose -1254 = -10*h + 8*h - 9*h. What is the highest common divisor of 18 and h?", "a": "6" }, { "q": "Suppose 49*b - 523 = 163. Let x(j) = j**3 - j**2 + 2. Let r be x(0). Suppose -5*t = r*v - 70, -t + 7 + 7 = v. Calculate the greatest common divisor of b and t.", "a": "14" }, { "q": "Let j be ((-124)/8)/((-2)/(-8)). Let g = j + 112. Suppose 2*d + h + 4*h = g, 62 = 2*d + 2*h. What is the highest common factor of 14 and d?", "a": "7" }, { "q": "Suppose 453*s + 36 = 462*s. Calculate the greatest common factor of s and 428.", "a": "4" }, { "q": "Let u(s) = 1 - 57*s + 116*s - 63*s. Let q be u(-20). Calculate the greatest common factor of 54 and q.", "a": "27" }, { "q": "Suppose -7*g + 3*g = -0*g - 124. Calculate the greatest common factor of g and 527.", "a": "31" }, { "q": "Suppose -1 = q - 2*p, 6*p - p = -q - 36. Let h = q - -8. Let s be 8*(-3 - -5) + h. What is the highest common divisor of s and 130?", "a": "13" }, { "q": "Let l = 2357 + -2333. What is the greatest common divisor of 16 and l?", "a": "8" }, { "q": "Suppose 737 = 38*z - 289. What is the highest common divisor of 531 and z?", "a": "9" }, { "q": "Suppose 23 - 47 = t. Let i be (3 - 5 - t/15)*-30. What is the greatest common divisor of 24 and i?", "a": "12" }, { "q": "Suppose 65081 + 143127 = 143*i. Calculate the greatest common factor of i and 39.", "a": "13" }, { "q": "Suppose -j + 44 = j. Let n be (-6)/15 + (-364)/(-35). Let q be -2*22/n*(-25)/2. What is the greatest common factor of q and j?", "a": "11" }, { "q": "Let g be (-253608)/(-32) - 2/8 - 5. Calculate the greatest common divisor of g and 90.", "a": "90" }, { "q": "Suppose -x + 236 = 2*c, -2*x + 3 = -5. Let y = 173 - 115. Calculate the greatest common divisor of c and y.", "a": "58" }, { "q": "Suppose q = 28 - 10. Let b(h) = -13*h - 285. Let z be b(-24). Calculate the highest common divisor of q and z.", "a": "9" }, { "q": "Suppose -161 = -8*v + 415. Let r = -60 + v. Let u = -11 - -19. Calculate the greatest common divisor of r and u.", "a": "4" }, { "q": "Suppose -v = -4*a + 283 + 361, 0 = a - 4*v - 176. What is the highest common divisor of 10 and a?", "a": "10" }, { "q": "Let k(i) = 2*i + 2. Let c be k(2). Suppose 94 = -c*a + 4*a. Let n = 57 + a. Calculate the greatest common factor of n and 70.", "a": "10" }, { "q": "Let q = 436 - 416. What is the greatest common divisor of q and 750?", "a": "10" }, { "q": "Let p be 3 + (-2 + 1 - -4) + 7 + -8. Calculate the highest common divisor of p and 9.", "a": "1" }, { "q": "Let a = -329 - -359. Suppose -13 + 49 = 4*b + 4*h, -15 = -5*h. What is the highest common divisor of b and a?", "a": "6" }, { "q": "Let o(l) = -209*l + 35. Let s be o(0). Calculate the highest common divisor of s and 595.", "a": "35" }, { "q": "Let w = 61795 - 61727. Let o be 17/((-2)/(-12)*2). What is the highest common factor of o and w?", "a": "17" }, { "q": "Suppose 0 = 3*r + 6, 0*p + 2*r = 2*p - 56. Let d = -44 + -243. Let h = -157 - d. Calculate the greatest common factor of p and h.", "a": "26" }, { "q": "Suppose 23 = 14*o - 117. Suppose -n + 16 = 3*w, 2*n + o = -2*w + 26. What is the greatest common factor of w and 42?", "a": "2" }, { "q": "Suppose 7*v - 2*v = x + 953, 2*x = -6. Let n = v - 124. What is the highest common divisor of n and 22?", "a": "22" }, { "q": "Let r(p) = -p**3 - 9*p**2 - 54*p - 336. Let j be r(-8). What is the highest common factor of 3696 and j?", "a": "16" }, { "q": "Let h(n) = -n**3 + 5*n**2 - 7*n + 61. Let v be h(4). What is the highest common divisor of v and 4067?", "a": "49" }, { "q": "Let p = 4309 - 2314. What is the highest common factor of p and 114?", "a": "57" }, { "q": "Let o be (-42)/4*(-4)/3. Let v = -120 - -99. Let j be -2*(v - 7/(-1)). Calculate the greatest common divisor of j and o.", "a": "14" }, { "q": "Let h be (2 - 2)/(-1) - (2 + -14 - -8). Let i(j) = 5*j - 2. Let g be i(6). What is the highest common factor of h and g?", "a": "4" }, { "q": "Suppose 0 = -5*n - 2*p + 11999, -p = 5*n - 6*p - 12020. Calculate the greatest common factor of 7 and n.", "a": "7" }, { "q": "Let t = 12 - 9. Let k(m) = -2 + 2*m**3 - 9 + 5 - t*m**2 + 4 + 2*m. Let d be k(2). Calculate the highest common divisor of 54 and d.", "a": "6" }, { "q": "Let f = -16 - -132. What is the highest common divisor of f and 116?", "a": "116" }, { "q": "Let h = 100 - -7648. What is the greatest common factor of 52 and h?", "a": "52" }, { "q": "Let l(x) = -2*x + 24. Let t be l(10). Suppose -t*o + 4*a + 116 = 0, 0 = -7*a + 3*a - 4. Let u = -25 + o. Calculate the greatest common factor of 24 and u.", "a": "3" }, { "q": "Let w = -3280 - -3832. What is the greatest common factor of 4 and w?", "a": "4" }, { "q": "Suppose -3486 + 930 = -5*s + 3*t, 0 = 3*s - 4*t - 1527. Calculate the greatest common divisor of s and 285.", "a": "57" }, { "q": "Suppose -h - 5*y = h - 1903, -4*y = 4*h - 3788. What is the highest common divisor of 59 and h?", "a": "59" }, { "q": "Suppose 498*t - 489*t = 63. What is the highest common factor of 64 and t?", "a": "1" }, { "q": "Suppose 8*s = 42*s - 272. Calculate the greatest common factor of 968 and s.", "a": "8" }, { "q": "Suppose -16*t + 4050 = 45*t + 14*t. Calculate the highest common factor of t and 2214.", "a": "54" }, { "q": "Let k(x) = 23*x - 3. Let q be k(6). Suppose -13*h = -12*h + n + 39, -h + n = 39. Let w = h + 54. What is the highest common divisor of w and q?", "a": "15" }, { "q": "Suppose -5*f = -1 - 4. Suppose 29*r - 24*r = 2*z + 35, -28 = -4*r - 3*z. What is the highest common divisor of f and r?", "a": "1" }, { "q": "Suppose 9*o = 2*p + 13*o - 8448, 2*p + 2*o - 8456 = 0. Calculate the highest common divisor of p and 368.", "a": "184" }, { "q": "Suppose 2*r - 4*u = 3060, 33*r - 6095 = 29*r + 3*u. What is the highest common divisor of r and 80?", "a": "80" }, { "q": "Let k(x) = -x**2 - 88*x - 890. Let i be k(-74). Calculate the highest common divisor of i and 2482.", "a": "146" }, { "q": "Let p be (-2)/(-1) - 259/21*-3. Let u = 53 - p. Calculate the greatest common factor of 77 and u.", "a": "7" }, { "q": "Suppose -5*c + 46 = -n, 4*n + 3*c + 79 = 10. Let i(m) = -m**2 - 26*m - 104. Let t be i(n). Calculate the greatest common divisor of 7 and t.", "a": "1" }, { "q": "Let t = -2780 + 2781. Calculate the highest common factor of t and 64.", "a": "1" }, { "q": "Suppose 0 = -22*v + 25*v. Let r be (v/2)/(-3) + 24*1. Calculate the greatest common factor of 3 and r.", "a": "3" }, { "q": "Suppose -4*u - 50*u + 40154 = -73624. What is the highest common divisor of u and 86?", "a": "43" }, { "q": "Suppose 0 = -32*q + 1217 - 449. Let w(h) = h**2 - 6*h - 8. Let k be w(12). Let r = k - 28. Calculate the greatest common divisor of q and r.", "a": "12" }, { "q": "Let h(m) = -m**2 - m + 21. Let z be h(0). Suppose 1333*x = 1320*x + 91. Calculate the highest common factor of x and z.", "a": "7" }, { "q": "Let v(s) = -33*s**2 + 3*s**3 + 32*s**2 + s + 3*s. Let k be v(-3). Let q be k/12*2*-1. What is the greatest common factor of 68 and q?", "a": "17" }, { "q": "Let l = 0 - -243. Let n = l + -141. Calculate the highest common factor of 6 and n.", "a": "6" }, { "q": "Suppose 190 = 10*j - 0*j. Suppose 0 = -j*z - 3*z + 990. What is the highest common divisor of z and 315?", "a": "45" }, { "q": "Suppose -c - 6 + 15 = 3*v, 3*v = 2*c. Suppose -5*n + 1121 = 4*r, -4*r - 3*n + 1127 = -0*r. Let z = r + -264. Calculate the highest common divisor of v and z.", "a": "2" }, { "q": "Let q(p) be the second derivative of p**3/6 + 9*p**2 + 184*p. Let c be 2/(-3) - (-80)/(-6). Let l be q(c). Calculate the greatest common divisor of 2 and l.", "a": "2" }, { "q": "Let y = -68 + 68. Suppose 0 = 5*d + 15, -h - d + 36 - 12 = y. Let j be 1/(1*1/9). What is the highest common divisor of j and h?", "a": "9" }, { "q": "Suppose 11465 = 16*b + 2537. What is the greatest common divisor of 1302 and b?", "a": "186" }, { "q": "Suppose -294 = 4*r - 1134. Suppose -2*i = h - 79, -2*h - 154 - 66 = -5*i. What is the greatest common divisor of i and r?", "a": "42" }, { "q": "Suppose -1267 = -14*r - 63. Suppose 5*k - 3*a = 27 - 306, -4*k - 3*a - 234 = 0. Let s = r - k. What is the greatest common factor of s and 13?", "a": "13" }, { "q": "Let p be ((-12)/10)/(2/(-60)). Suppose 3171 - 579 = 648*s. Calculate the highest common factor of s and p.", "a": "4" }, { "q": "Let o be 6/129 - (-61975)/1591. What is the highest common divisor of 663 and o?", "a": "39" }, { "q": "Let p(l) = l**3 + 7*l**2 + 10*l + 26. Let j be p(-6). Let w be (-4)/(36/(-81))*(j + -1). What is the greatest common divisor of w and 153?", "a": "9" }, { "q": "Suppose 0*k = -13*k - 845. Let i = k + 99. Calculate the greatest common factor of i and 102.", "a": "34" }, { "q": "Suppose 5*c - l = 1928, -913 + 2849 = 5*c + 3*l. Let a = 404 - c. Suppose -4*u + 3*k + 966 = 375, 0 = 3*k + 15. Calculate the highest common factor of u and a.", "a": "18" }, { "q": "Suppose -34*t + 29*t = -25. Suppose -2*i + 5*y = -38, t*i + y - 12 = 4*i. Calculate the greatest common factor of 448 and i.", "a": "14" }, { "q": "Let l be -4 - 3/((-42)/16156). What is the highest common factor of l and 345?", "a": "115" }, { "q": "Let g(c) = 4*c**2 + 8*c - 16. Let s be g(6). Suppose 171*a = s*a - 210. What is the greatest common factor of a and 18?", "a": "6" }, { "q": "Suppose -2*g + 17*g = 45. Suppose 4*q = 29 + g. Calculate the highest common divisor of q and 32.", "a": "8" }, { "q": "Let n be 16/128 - 3934/(-16). Let i = n + -90. What is the highest common divisor of i and 12?", "a": "12" }, { "q": "Suppose -502 = 82*c - 2433 - 939. What is the greatest common divisor of 235 and c?", "a": "5" }, { "q": "Suppose 0 = -6*u - 84 + 1062. Suppose u*n - 159*n = 12. Calculate the highest common divisor of 9 and n.", "a": "3" }, { "q": "Let y = -3 + 11. Suppose -5*x - 4*r = -1162, 5*x + 0*r = -3*r + 1164. Let j = x - 222. What is the greatest common factor of y and j?", "a": "4" }, { "q": "Let r = -20 + 32. Let f be 2*(12/(-18) + 38/r). Suppose 4*d - f*s = 263, 0 = -4*d - 2*s + 75 + 223. Calculate the highest common divisor of 9 and d.", "a": "9" }, { "q": "Let p be ((-1)/3)/(2/(-18)). Let z = -970 + 1054. What is the greatest common divisor of p and z?", "a": "3" }, { "q": "Let x be (-10)/(110/(-2013)) + -4. What is the highest common divisor of x and 1969?", "a": "179" }, { "q": "Let b = 7 + -2. Suppose 15*r - b*r = -20. Let k = r + 10. Calculate the greatest common divisor of 32 and k.", "a": "8" }, { "q": "Let v(p) = 26*p - 62. Let i be v(7). Suppose 67*z - 62*z = i. Calculate the greatest common divisor of 108 and z.", "a": "12" }, { "q": "Let c(l) = l**2 + 19*l + 12. Suppose 40 + 40 = -5*u. Let p be c(u). Let j = -30 - p. What is the highest common divisor of 30 and j?", "a": "6" }, { "q": "Let z = 0 - 17. Let k be -2 + 4 + (z - -1). Let v = -10 - k. Calculate the greatest common factor of 36 and v.", "a": "4" }, { "q": "Let s(t) = 67*t**2 + t - 3. Let r = 23 + -25. Let o be s(r). Let y = o + -158. What is the highest common divisor of 21 and y?", "a": "21" }, { "q": "Let f be ((-670)/20)/(-1*(-5)/(-20)). What is the greatest common divisor of f and 5762?", "a": "134" }, { "q": "Let b(l) = l**3 + 13*l**2 + 17*l - 44. Let p be b(-11). What is the highest common factor of p and 22?", "a": "11" }, { "q": "Let v be 458/687 + 290/6. Calculate the greatest common factor of 56 and v.", "a": "7" }, { "q": "Suppose 77 = -10*l + 11*l. Let i be (3 - 1) + l/7. Suppose -4*y - 4*q = -64, 2*y - 4*q - i = 49. What is the greatest common factor of y and 3?", "a": "3" }, { "q": "Let h be (-12)/(-8)*(-24)/(-9). Suppose h*q - 55 = -3*i - 2*i, -5 = i. Calculate the greatest common factor of q and 40.", "a": "20" }, { "q": "Let n(j) = j**3 - 2*j. Suppose 3*g + 8 = 5*g. Let v be n(g). Calculate the highest common divisor of 56 and v.", "a": "56" }, { "q": "Let j = -225 - -237. Suppose 90 = -2*v + j*v. Calculate the highest common factor of 9 and v.", "a": "9" }, { "q": "Suppose -187 = -38*i + 193. What is the highest common factor of 1930 and i?", "a": "10" }, { "q": "Let i(a) = -a**3 + 2*a**2 + 6*a + 10. Let x be i(-5). Let r = 175 - x. What is the highest common divisor of r and 160?", "a": "20" }, { "q": "Suppose -5*v - 14*r = -12*r - 1034, 15 = -5*r. What is the highest common factor of v and 1612?", "a": "52" }, { "q": "Let q be (-2)/((-27)/(6561/18)). Suppose -54 = 3*r - 6*r. What is the greatest common divisor of q and r?", "a": "9" }, { "q": "Suppose -58*u = -16874 - 990. Calculate the highest common divisor of u and 1001.", "a": "77" }, { "q": "Let x = -3701 - -4119. What is the highest common factor of 176 and x?", "a": "22" }, { "q": "Suppose z - 6*z = 0. Let i(d) = 76*d - 22. Let l be i(0). Let y be (0 - (z + 3))*l. Calculate the highest common divisor of y and 22.", "a": "22" }, { "q": "Suppose -3*n = 4*p - 22, 2*p = -2*p - 20. Let m(l) = -50*l + 16. Let k be m(-5). Suppose 0 = -3*y + k - n. What is the highest common factor of y and 21?", "a": "21" }, { "q": "Let d be ((-15)/20)/(1/(-100)). Suppose 5*b + 0*b = 5*w - d, 3*w - 35 = b. Suppose 0 = -5*s + 55 + 70. Calculate the highest common divisor of s and w.", "a": "5" }, { "q": "Suppose 713 - 729 = -h. Calculate the greatest common divisor of 5872 and h.", "a": "16" }, { "q": "Let r(i) = -i**3 - 5*i**2 + 3*i - 3. Let h = 32 - 27. Suppose h*s = 3*s - 12. Let y be r(s). What is the highest common factor of y and 105?", "a": "15" }, { "q": "Suppose 35 = 2*c - d - 65, -212 = -4*c - d. Calculate the highest common divisor of c and 351.", "a": "13" }, { "q": "Let r(n) = -51*n - 1268. Let b be r(-25). Calculate the highest common divisor of 1155 and b.", "a": "7" }, { "q": "Suppose 3*h - r = -6*h + 2277, -506 = -2*h - 3*r. Let l be 44/2 + 2 + -1. What is the highest common factor of l and h?", "a": "23" }, { "q": "Suppose -69165 - 63352 = -63*h - 9037. What is the greatest common divisor of h and 20?", "a": "20" }, { "q": "Let p(m) = -m**2 + 71*m - 531. Let z be p(9). Let l(t) = 2*t**2 + 2 + 2*t**2 - 2*t - 4. Let v be l(-2). What is the greatest common factor of v and z?", "a": "9" }, { "q": "Suppose -y - 4*v + 0 = 3, -2*y + 5*v = -33. Let a(x) = 31*x - 15. Let i be a(6). What is the greatest common factor of i and y?", "a": "9" }, { "q": "Suppose -j - 75 = -2*y, 0*y + 2*y - 77 = 3*j. Suppose 5*t + g - 737 = 0, 4*t - 5*g - 445 = 162. Calculate the greatest common factor of y and t.", "a": "37" }, { "q": "Let y = 3303 + -3017. What is the greatest common divisor of y and 814?", "a": "22" }, { "q": "Let m = 1680 + -1630. What is the highest common divisor of m and 2675?", "a": "25" }, { "q": "Let z be (-88)/(-3)*((-14)/35)/((-60)/43425). Calculate the greatest common divisor of 44 and z.", "a": "44" }, { "q": "Let o be (-7302)/(-4) + (8 - (-209)/(-22)). What is the highest common factor of 72 and o?", "a": "24" }, { "q": "Suppose -2*n + 8 = 0, -4*u + 4*n + n = -40. Suppose -o - 348 = -2*a + o, 5*o = -u. What is the highest common factor of 18 and a?", "a": "9" }, { "q": "Let m be ((-2608)/(-32))/((-2)/4). Let o = m + 331. Calculate the greatest common factor of o and 21.", "a": "21" }, { "q": "Let b be 46*(1 + 5/(-15))/((-2)/(-12)). What is the greatest common divisor of 8 and b?", "a": "8" }, { "q": "Let k(h) = h**3 + 5*h**2 - 3. Let o be k(-4). Suppose 0 = 4*d + 151 - 431. Let v = d + 47. Calculate the highest common factor of o and v.", "a": "13" }, { "q": "Suppose 5*i - 26 + 6 = 0, -4*p - 6*i = -412. Calculate the highest common factor of 4850 and p.", "a": "97" }, { "q": "Let c(a) = a**3 + 7*a**2 - 7*a - 31. Let z be c(-9). Let x = z + 150. What is the highest common factor of x and 180?", "a": "20" }, { "q": "Suppose 2*u - 4*u + 10 = 0. Let k be (u - -1) + (-2 - -3). Let g be (-2)/(-13) + 13889/221. What is the highest common factor of g and k?", "a": "7" }, { "q": "Let g be (-2)/(-7) + 18/(-63). Suppose g*u - 2*f = -3*u + 244, -4*u + 328 = -4*f. Calculate the highest common divisor of 10 and u.", "a": "10" }, { "q": "Suppose 7*l = 9*l - 482. Let m be 3/(-6) - l/(-2). Let w = 81 + -61. What is the greatest common factor of w and m?", "a": "20" }, { "q": "Let c be (57/6)/1 - (-1)/(-2). Let f be ((-7)/(-5) + 1)/(c/30). Suppose 4*b - f = x, -3*b = -3*x + 2*x - 5. What is the greatest common divisor of x and 2?", "a": "2" }, { "q": "Let y be 2 + ((-4)/(-12))/(1/6). Suppose -x = -6 + y. Let k be (-2 - -3)/(-1 - -2). What is the highest common divisor of k and x?", "a": "1" }, { "q": "Let a(k) = 2*k**2 + 39*k + 193. Let t be a(-11). Let z be (1 + -4)*-8*6. What is the highest common divisor of z and t?", "a": "6" }, { "q": "Suppose -7*x + 1959 = -9374. Suppose 13*u = 136 + x. What is the highest common divisor of u and 18?", "a": "9" }, { "q": "Let n(j) = 2*j**3 - 7*j**2 + 8*j + 13. Let k(o) = o + 2. Let p be k(3). Let c be n(p). Calculate the greatest common factor of 16 and c.", "a": "16" }, { "q": "Let g(l) = -2*l**3 + 4*l**2 + 191*l + 9. Let z be g(-9). Calculate the greatest common factor of 2196 and z.", "a": "36" }, { "q": "Let z(p) = 2*p**2 - 27*p + 75. Let a be z(11). Let c(i) = 49*i**2 + 4*i + 2. Let y be c(-2). What is the greatest common divisor of y and a?", "a": "10" }, { "q": "Let y = -1901 - -1925. What is the highest common factor of 48 and y?", "a": "24" }, { "q": "Suppose z - 13 = 3*m + 17, 4*z + m = 94. What is the greatest common factor of z and 5784?", "a": "24" }, { "q": "Let h be ((-9)/(-1))/((60/(-32))/5). Let x be ((-16)/h)/(2/3). What is the highest common factor of 27 and x?", "a": "1" }, { "q": "Let q(a) = 217*a**2 - 18*a + 17. Let n be q(1). What is the greatest common factor of n and 162?", "a": "54" }, { "q": "Suppose 11*n = 9*n + 578. Let j = n - 177. Let a be 12/54 + (536/18 - 2). What is the highest common factor of a and j?", "a": "28" }, { "q": "Let v(j) = j**2 - 8*j + 41. Let l be v(16). Let m = l - 121. What is the highest common divisor of m and 16?", "a": "16" }, { "q": "Suppose 0*c = -r + 5*c + 118, -4*c + 264 = 2*r. Let j be r - (-3 + (1/(-1))/1). What is the highest common divisor of 6 and j?", "a": "6" }, { "q": "Suppose -58*g = -10280 + 1232. What is the highest common factor of g and 16?", "a": "4" }, { "q": "Suppose -v = 2*l - 8885 + 466, 0 = v - 6*l - 8395. Calculate the highest common divisor of 179 and v.", "a": "179" }, { "q": "Let r(k) = -k**3 - 29*k**2 - 35*k - 73. Let f be r(-28). Calculate the highest common factor of f and 2.", "a": "1" }, { "q": "Let o(v) = 61*v**2 + 133*v - 134. Let n be o(1). Calculate the greatest common divisor of n and 610.", "a": "10" }, { "q": "Suppose 6 = -2*a + 78. Let z = 3635 - 3608. Calculate the greatest common factor of z and a.", "a": "9" }, { "q": "Suppose 10*i - 22050 = -39*i. Suppose 3*a = g - 6, -5*a - 24 - 10 = -3*g. What is the highest common factor of g and i?", "a": "18" }, { "q": "Let f = -143 - -79. Let i be 1*-6*f/48. Suppose -4*w + i*w = 620. What is the highest common factor of 62 and w?", "a": "31" }, { "q": "Let u(w) = -5*w + 2. Let r(b) = b + 1. Let v(f) = 6*r(f) + u(f). Let i = -17 - -29. Let d be v(i). Calculate the highest common divisor of 10 and d.", "a": "10" }, { "q": "Let f be -252*(7 - (-253)/(-33)). What is the greatest common factor of 798 and f?", "a": "42" }, { "q": "Let k = -30 + 44. Let o be ((-6)/k)/(10/(-70)). Suppose 3*n - b = 335, n + n - 221 = o*b. What is the highest common divisor of 16 and n?", "a": "16" }, { "q": "Let z(o) = o**3 + 6*o**2 - 7*o. Let i be z(-5). Let l(n) = 16*n + 364. Let q be l(-22). What is the greatest common divisor of i and q?", "a": "12" }, { "q": "Suppose -5*g + 4*b = -695, 5*g + b = -228 + 898. Suppose 8*c - 10*c = 4*s - 270, c - 4*s - g = 0. Calculate the highest common divisor of 90 and c.", "a": "45" }, { "q": "Let k(z) = 35 + 71 + 15 - 25 + 14*z. Let d be k(6). Calculate the greatest common factor of 108 and d.", "a": "36" }, { "q": "Suppose -63138 - 5264 = -20*h - 5682. What is the greatest common factor of 128 and h?", "a": "64" }, { "q": "Let j(p) = -2*p - 26. Let t be j(-33). Let n be (0 - 1)/((-5)/t). Calculate the greatest common divisor of n and 2.", "a": "2" }, { "q": "Let o(u) = -u**3 + u + 9. Let d be o(0). Suppose d*v - 100 = 71. What is the highest common factor of 209 and v?", "a": "19" }, { "q": "Suppose -m + 25 = 4*v, -3*v = -3*m - m + 157. Let n be (m/(-4) + 1)*(-1856)/174. What is the highest common factor of 33 and n?", "a": "11" }, { "q": "Let n = -215 + 17. Let f = -151 - n. Calculate the greatest common divisor of f and 517.", "a": "47" }, { "q": "Suppose 5*v - 1 - 5 = -3*j, 0 = 2*v - 3*j - 15. Suppose -4*d = -3*i + 7, -43*i + 44*i + 2*d - 9 = 0. Calculate the highest common factor of i and v.", "a": "1" }, { "q": "Let k = 5287 + -3351. Calculate the highest common divisor of k and 66.", "a": "22" }, { "q": "Let g = -135 - -139. Suppose g*t = -11*t + 945. What is the greatest common factor of 14 and t?", "a": "7" }, { "q": "Let l be 4855 - (-23 + 8 - -10). Calculate the greatest common divisor of l and 60.", "a": "60" }, { "q": "Let z(g) be the second derivative of g**4/12 + g**3/6 - 33*g**2/2 - 43*g. Let o be z(-23). What is the greatest common factor of 43 and o?", "a": "43" }, { "q": "Let v = -2830 - -2864. Calculate the greatest common divisor of v and 153.", "a": "17" }, { "q": "Let p be 22*60/16*4/6*2. Calculate the greatest common factor of 730 and p.", "a": "10" }, { "q": "Suppose -3*s + 80 = -5*n, -12*s + 16*s - 98 = -2*n. What is the greatest common factor of s and 8?", "a": "1" }, { "q": "Suppose 2*h = 65 + 15. Let l be 3*1 + h/(-8) + 38. Suppose -2*b = -b - l. What is the greatest common factor of 4 and b?", "a": "4" }, { "q": "Suppose -4*q = -5*l - 4, -3*q + 5 = 2*l + 2. Suppose 14*p - 40*p + 910 = l. What is the greatest common factor of 49 and p?", "a": "7" }, { "q": "Let u(i) = 3*i + 0*i + 4 - i - 3*i. Let m(s) = 5*s + 4. Let w be m(-2). Let l be u(w). What is the highest common factor of l and 50?", "a": "10" }, { "q": "Let u(b) = 4*b - 22. Let s be u(6). Let h be s/(-6) + 130/30. Suppose 5*p - 1 = -g, 3*g + h*p - 8 - 6 = 0. What is the highest common factor of g and 30?", "a": "6" }, { "q": "Suppose 1708*v + 301 = 1715*v. Suppose 1421 = 3*s - 2*c, -3*s - 2*c - 3*c = -1414. Calculate the highest common factor of v and s.", "a": "43" }, { "q": "Suppose -1032 = -12*f + 20*f. Let i = -92 - f. What is the greatest common factor of i and 74?", "a": "37" }, { "q": "Let r(s) = s**2 + 4*s + 2. Let p be r(0). Let g be (p/3 + (-56)/12)/2. Let c be g + 8/2 - -3. What is the highest common divisor of c and 55?", "a": "5" }, { "q": "Suppose 5*n - 1 = 14. Suppose 3*d + 3*v - 432 + 60 = 0, 3*v + 396 = n*d. Calculate the greatest common divisor of d and 192.", "a": "64" }, { "q": "Let o be ((-25)/(-10))/5 - (-23)/2. Suppose -6*u = -132 - o. Calculate the greatest common factor of 6 and u.", "a": "6" }, { "q": "Let c(w) = -12 - 9*w + 3 + 14. Let k be c(-1). What is the greatest common factor of k and 119?", "a": "7" }, { "q": "Let w(x) = -x**3 - 3*x**2 + 6*x - 2. Let p = -23 - -18. Let o be w(p). Suppose 0*a - o = -a. Calculate the greatest common factor of 6 and a.", "a": "6" }, { "q": "Let r be (55 - 39) + (3 + -6 - -8) + -1. What is the highest common divisor of r and 5?", "a": "5" }, { "q": "Let b(c) = 2*c + 29. Let r be b(-12). Let z(d) = 1 + 0*d - 5*d + 6*d + r. Let g be z(-2). What is the greatest common factor of 32 and g?", "a": "4" }, { "q": "Suppose 72 = 5*c - z, -c + 0*c + 3 = -4*z. Let l = 4 - -5. Suppose -19 = -f - l. Calculate the highest common divisor of f and c.", "a": "5" }, { "q": "Let d(y) = 5*y**2 + 24*y + 5. Let o be d(-5). Suppose 0 = 2*a - 16 + o, p + 3*a - 19 = 0. What is the greatest common divisor of p and 10?", "a": "10" }, { "q": "Suppose 16*x + 4*v = 19*x - 416, 0 = -4*v - 20. Calculate the greatest common divisor of 165 and x.", "a": "33" }, { "q": "Let j = 1896 + -1618. What is the highest common factor of j and 4?", "a": "2" }, { "q": "Let r(s) = -27*s - 64. Let f(g) = 2. Let o(t) = -2*f(t) - r(t). Let v be o(4). What is the greatest common factor of 36 and v?", "a": "12" }, { "q": "Suppose 3*x + 245*o = 243*o + 11562, -15 = 5*o. What is the highest common factor of 16 and x?", "a": "16" }, { "q": "Let y be 1/(-2) - (-10)/4. Suppose 5*m = -10 - 5, 5*m = -2*d - 53. Let j = d + 27. What is the greatest common factor of y and j?", "a": "2" }, { "q": "Let l = 2950 + -2826. Calculate the greatest common divisor of l and 527.", "a": "31" }, { "q": "Suppose 4*v - 48 = -4*w, 38 = -3*w + 6*w + 5*v. Calculate the greatest common factor of 2629 and w.", "a": "11" }, { "q": "Let n be (-5162)/(-261) + 1/(-9)*-2. What is the highest common factor of 68 and n?", "a": "4" }, { "q": "Let p(b) be the third derivative of b**5/30 + 7*b**4/8 - b**3 - 44*b**2 + 2. Let a be p(-12). What is the greatest common divisor of 390 and a?", "a": "30" }, { "q": "Let d be 38/6 + 7/((-42)/(-4)). Suppose -116 = 5*x - d*x. Let w = 102 - x. Calculate the highest common factor of w and 22.", "a": "22" }, { "q": "Let l(v) = 42*v**2 + 4*v - 6. Suppose -g = -4*g + 9. Let d be l(g). What is the greatest common factor of 16 and d?", "a": "16" }, { "q": "Let q be (3 - 3)/((-2)/1). Suppose 5*i + f - 428 - 688 = q, -460 = -2*i + 3*f. What is the greatest common factor of i and 28?", "a": "28" }, { "q": "Let p be (2 - 0)*(-6)/(-30)*35. Suppose -327 = -p*z + 1353. Calculate the highest common divisor of z and 45.", "a": "15" }, { "q": "Suppose 22*a = 17*a - 4*m + 208, -5*a + m + 223 = 0. Calculate the highest common divisor of 275 and a.", "a": "11" }, { "q": "Let a(b) = 7*b**3 + 4*b + 0*b - 26 + 7*b**3 + 17*b**2 - 15*b**3. Let m be a(17). What is the greatest common factor of 154 and m?", "a": "14" }, { "q": "Let o = -154 - -186. Suppose 272 - o = 6*w. What is the greatest common factor of 100 and w?", "a": "20" }, { "q": "Let m = 2909 + -2609. What is the greatest common factor of 1950 and m?", "a": "150" }, { "q": "Suppose s = -2*l + 885 + 176, 0 = -3*s + 5*l + 3216. Calculate the greatest common factor of s and 11.", "a": "11" }, { "q": "Let h(f) = 840*f + 55. Let t be h(3). What is the highest common factor of t and 50?", "a": "25" }, { "q": "Suppose 0 = 5*y - 3*m + m + 866, 4*y - 4*m + 688 = 0. Let h = -117 - y. What is the highest common factor of 38 and h?", "a": "19" }, { "q": "Let u(r) = -5*r - 2. Let i be u(-4). Let b = -820 + 1162. What is the greatest common factor of b and i?", "a": "18" }, { "q": "Let r = 3202 + -1634. Calculate the highest common divisor of r and 128.", "a": "32" }, { "q": "Let s(o) = 2*o**2 - 37*o + 174. Let d be s(14). What is the greatest common divisor of 3000 and d?", "a": "24" }, { "q": "Let o be ((-582)/(-4))/((-39)/(-52)). Let g = o + -190. Calculate the greatest common divisor of g and 40.", "a": "4" }, { "q": "Let d(j) = 13*j**2 - j - 7. Let t be d(-2). Let k = 773 - t. Calculate the greatest common factor of 66 and k.", "a": "66" }, { "q": "Let o(w) = w**2 + 9*w + 2. Suppose 0 = 4*k - 10*k - 90. Let g = -24 - k. Let u be o(g). What is the highest common factor of 1 and u?", "a": "1" }, { "q": "Let n = 2479 + 1945. What is the greatest common factor of 56 and n?", "a": "56" }, { "q": "Let a = -181 + 277. Suppose 34*o = 32*o + a. Let w = 97 - o. What is the highest common divisor of 7 and w?", "a": "7" }, { "q": "Suppose -31*o + 260 = 31*o - 52*o. What is the highest common divisor of 494 and o?", "a": "26" }, { "q": "Let w be 36/(-45) + 11772/90. Suppose l - 260 = -4*l. Calculate the highest common factor of w and l.", "a": "26" }, { "q": "Let h(i) = -i + 5. Let j be h(-9). Let q(g) = -g**2 - 10*g + 3. Let c be q(-9). Suppose 0*x - 6*x = -c. What is the greatest common factor of x and j?", "a": "2" }, { "q": "Let j = -197 + 228. Suppose -227 - j = -6*f. What is the greatest common factor of f and 473?", "a": "43" }, { "q": "Let f(c) = 6 - c**2 - 10 - c**3 - 2*c - 2 - 3*c**3. Let s be f(-2). Calculate the highest common divisor of 4 and s.", "a": "2" }, { "q": "Let u be 1/((-1)/(-2))*-8*75/(-6). Calculate the highest common factor of 1100 and u.", "a": "100" }, { "q": "Suppose 0 = a + 2*d - 58 + 6, 326 = 7*a - 5*d. Suppose -4*z + 2*t = -60, -t + 14 = z - 2*t. Calculate the greatest common factor of a and z.", "a": "16" }, { "q": "Let j(t) = 92*t**3 + 16*t - 48. Let q be j(3). What is the highest common divisor of 36 and q?", "a": "36" }, { "q": "Suppose 3*r - 32 = -m, -5*m + 160 = r - 4*r. Let f be 4/14 + 4/(-14). Suppose 4*g = -f*g + m. Calculate the highest common factor of g and 32.", "a": "8" }, { "q": "Let q = 1208 - 326. What is the greatest common divisor of 54 and q?", "a": "18" }, { "q": "Let q be (-48)/3*(-2)/4. Suppose 0 = x - 5*c - 158, -35 = 4*c - 11. Calculate the greatest common divisor of x and q.", "a": "8" }, { "q": "Let a(x) = -19*x**3 - 4*x**2 + 59*x + 217. Let d be a(-4). Calculate the highest common divisor of 515 and d.", "a": "103" }, { "q": "Let p = 45 + -23. Suppose -3*n = 2*w - 716, -108 + 1293 = 5*n + 5*w. Calculate the greatest common factor of p and n.", "a": "22" }, { "q": "Suppose -4*d + 3*d + 24 = 0. Let q(s) = -s**2 - 19*s + 28. Let n be q(-20). Suppose 0 = -10*m + n*m + 432. Calculate the greatest common divisor of m and d.", "a": "24" }, { "q": "Let b(k) = -7*k + 11. Let i be b(1). Suppose -5*y - 15 = 0, 5*g - i*g + 4*y = 63. What is the greatest common factor of g and 50?", "a": "25" }, { "q": "Let n = -351 - -513. Let s = n - 160. What is the highest common factor of s and 4?", "a": "2" }, { "q": "Let p be (5/((-20)/(-364))*1/(-1))/(-1). What is the greatest common factor of 221 and p?", "a": "13" }, { "q": "Let p = -215 - -638. Let l = 687 - p. Calculate the greatest common divisor of 33 and l.", "a": "33" }, { "q": "Let m = 210 + -122. Let l be (-1350)/(-165) + 105/(-33) + 3. What is the greatest common divisor of m and l?", "a": "8" }, { "q": "Let n be 1701/(-324)*12/(-7). What is the highest common factor of 4608 and n?", "a": "9" }, { "q": "Let w(b) = -b**2 - 84*b + 594. Let y be w(-79). What is the greatest common divisor of 69 and y?", "a": "23" }, { "q": "Suppose -7*h + 3*h = 0. Suppose h = 2*k - 0*k - 8. Let w(t) = t**3 - 6*t + 7. Let u be w(3). What is the highest common divisor of u and k?", "a": "4" }, { "q": "Let k(y) = -478*y - 736. Let x be k(-7). Calculate the greatest common divisor of x and 15.", "a": "15" }, { "q": "Suppose 0 = r + 3*r - t - 7, 3 = -t. Let k(s) = 11*s**2 - 2*s + 1. Let g be k(r). Let w be 4/((-40)/(-18))*g. What is the greatest common divisor of 18 and w?", "a": "18" }, { "q": "Suppose -19 + 25 = v, 0 = -6*p + 2*v + 192. Let c(h) = 4*h**2 - 5*h + 7. Let b be c(-7). What is the greatest common divisor of p and b?", "a": "34" }, { "q": "Suppose -5*u = -5, -4*u + 4 - 172 = -4*l. Let i = l - 27. Let s = 24 + -8. Calculate the greatest common factor of s and i.", "a": "16" }, { "q": "Let r = -4653 - -4803. Calculate the highest common factor of r and 660.", "a": "30" }, { "q": "Suppose 4*v = -2*l + 24, 3*l + 30 = 4*v - 4. Suppose -v*o + 64 = o. What is the highest common divisor of o and 224?", "a": "8" }, { "q": "Let x = -3334 - -3388. Calculate the highest common divisor of x and 378.", "a": "54" }, { "q": "Suppose 0 = -s + 5*r + 204, -s + 2*s = -r + 234. Let y = s - 184. Calculate the greatest common factor of 9 and y.", "a": "9" }, { "q": "Let l be (-2)/(12 + 13531/(-1127)). Calculate the highest common factor of l and 230.", "a": "46" }, { "q": "Let b(q) be the first derivative of -2*q**2 - 3*q + 42. Let i be b(-2). What is the greatest common factor of 80 and i?", "a": "5" }, { "q": "Let l = -55 + 79. Let i be 20/(-3 - -8)*l. Let j = 23 + 9. What is the highest common divisor of i and j?", "a": "32" }, { "q": "Suppose -22*i + 18999 = -20887. What is the highest common divisor of 49 and i?", "a": "49" }, { "q": "Let y be (-4)/((-16)/(-348)) + 5. Let m = y - -89. Calculate the highest common divisor of m and 7.", "a": "7" }, { "q": "Let o(r) = -11*r**3 - 8*r**2 - 6*r - 10. Let j be o(-3). Let p = -231 + j. Calculate the highest common divisor of 11 and p.", "a": "1" }, { "q": "Suppose 0 = -26*x - 7*x + 594. Suppose i + 0*i = 286. Suppose -q = -j + 50, -5*j - q + i = 3*q. What is the highest common divisor of x and j?", "a": "18" }, { "q": "Suppose -5*d + 2640 = 5*o, 20*d - 31*d = -15*d. What is the greatest common factor of o and 462?", "a": "66" }, { "q": "Suppose 11 = -3*d - 4*w - 7, 2*d + 2*w + 12 = 0. Let i be d/15 - 74/20*-2. Let y be 650/91 - 1/i. Calculate the greatest common divisor of y and 56.", "a": "7" }, { "q": "Let u(y) = 49*y**2 - 21*y - 31. Let h be u(-11). What is the greatest common divisor of 27 and h?", "a": "27" }, { "q": "Let k(w) = w**3 - 5*w**2 - 9*w + 7. Let l be k(6). Let f = 14 - l. Suppose -3*b + 15 = 4*j, -5*j + 2 = 2*b - 8. What is the greatest common factor of f and b?", "a": "5" }, { "q": "Let o(k) = 2*k**2 - 41*k - 67. Let m be o(-13). Calculate the highest common divisor of 18 and m.", "a": "6" }, { "q": "Suppose 7*j = 5 + 16. Suppose -2*o + 35 = -2*f - j*f, -o + 10 = -f. Let u = o + 8. What is the greatest common divisor of 65 and u?", "a": "13" }, { "q": "Suppose 13*l = 12*l + 3. Let o(v) = -v - v**l + v - 2 - 8*v - 7*v**2 + 0*v**2. Let c be o(-6). Calculate the greatest common factor of c and 110.", "a": "10" }, { "q": "Suppose -6*w = -3*w - 4*w + 18. Calculate the highest common divisor of w and 2628.", "a": "18" }, { "q": "Suppose -47*j = -75*j + 110852. Calculate the highest common factor of 107 and j.", "a": "107" }, { "q": "Let j = -83 + 85. Let x be (-4)/((-24)/9)*j. Suppose -5 + 14 = 3*p. What is the greatest common factor of p and x?", "a": "3" }, { "q": "Suppose -34 = 5*y - 139. Let m be (36/(-20))/(-8 + 0 - (-629)/85). Calculate the highest common divisor of y and m.", "a": "3" }, { "q": "Suppose r = -x + 79, -5*r - 4*x + 394 = -0*x. Calculate the highest common factor of r and 24.", "a": "6" }, { "q": "Let p = 2726 - 2558. What is the greatest common divisor of p and 224?", "a": "56" }, { "q": "Let q = 119 + -117. Suppose 96 = 2*a - b, -5*a + 307 - 58 = q*b. Calculate the greatest common factor of 14 and a.", "a": "7" }, { "q": "Suppose -2*a = -119 - 17. Suppose 3*d - 1 = 2*o, 19 = o + 161*d - 156*d. Calculate the highest common factor of o and a.", "a": "4" }, { "q": "Let u(z) = -z**2 + 5*z - 2. Let q be u(4). Let v be (-2*q)/(-4 + (-108)/(-28)). Let c = 83 - 41. Calculate the greatest common factor of v and c.", "a": "14" }, { "q": "Let x(m) = -10*m - 5. Let n(r) = 10*r + 5. Let l(d) = -2*n(d) - 3*x(d). Let k be l(24). What is the highest common divisor of 49 and k?", "a": "49" }, { "q": "Let n = -4708 + 4882. What is the highest common divisor of 12 and n?", "a": "6" }, { "q": "Suppose 3*v - 138 = -s - 5, 175 = 4*v - s. Calculate the greatest common factor of v and 506.", "a": "22" }, { "q": "Let r be (-1 + 7)/(12/8). Let f(w) = -6*w**2 - 7*w. Let a be f(-2). Let z be 16/a*45/(-18). What is the greatest common divisor of r and z?", "a": "4" }, { "q": "Let p = -4638 - -4706. Calculate the greatest common divisor of 100 and p.", "a": "4" }, { "q": "Let f = -517 - -581. Calculate the highest common divisor of f and 1600.", "a": "64" }, { "q": "Suppose -27*p - 4443 = -9486 - 18447. Calculate the highest common factor of p and 30.", "a": "30" }, { "q": "Suppose -o + 2*b - 3 = 0, 15*o - 31 = 12*o - 4*b. Let q(j) = 13*j - 44. Let w be q(o). What is the highest common factor of w and 399?", "a": "21" }, { "q": "Let f = 1677 + -1637. Calculate the greatest common divisor of f and 595.", "a": "5" }, { "q": "Suppose 57*a - 550 = 2186. What is the greatest common factor of 7536 and a?", "a": "48" }, { "q": "Let w = -1466 + 1469. Let y be 4 - (-2 + 4) - -2. Let p be 2/y*42/w. What is the highest common factor of p and 7?", "a": "7" }, { "q": "Let n be (-759)/(-115)*(1 - -34). Let r = n + -180. What is the greatest common factor of 255 and r?", "a": "51" }, { "q": "Let n be (1/4)/((-4)/32*-2). Let g = n - -8. Let l be (g/12)/((-2)/(-32)). What is the highest common factor of 4 and l?", "a": "4" }, { "q": "Suppose -703*t + 79380 = -682*t. What is the greatest common factor of t and 42?", "a": "42" }, { "q": "Let s = -3451 + 3587. Calculate the highest common divisor of 8296 and s.", "a": "136" }, { "q": "Let c(l) = 81*l**2 - 18*l + 16. Let s be c(1). What is the highest common divisor of s and 4819?", "a": "79" }, { "q": "Let v(q) = 188*q - 211. Let d be v(2). Calculate the highest common divisor of d and 66.", "a": "33" }, { "q": "Suppose 5*r + 4*h = 69, 7*r - 3*r - 4*h = 48. Let t be (-471)/(-2) - 81/(-54). Suppose t = 16*v + 29. What is the greatest common divisor of v and r?", "a": "13" }, { "q": "Suppose -5*f + 50 = -5*i, -i = 4*f - 15 - 5. Suppose 0 = f*u - 482 - 1618. Suppose 2*w - u = 84. What is the highest common divisor of w and 31?", "a": "31" }, { "q": "Suppose -5*x = 4*o - 249 - 214, -5*x = -2*o + 269. Suppose 0 = 75*m - 66*m - 1647. Calculate the highest common divisor of m and o.", "a": "61" }, { "q": "Suppose -5*v + 3*r + 29 = 0, 48*v = 43*v - 3*r + 11. Let y be 4/20 + (-758)/(-10). What is the highest common divisor of v and y?", "a": "4" }, { "q": "Suppose -2*q - 29 = 339. Let n = -130 - q. Calculate the greatest common divisor of n and 27.", "a": "27" }, { "q": "Let c(i) = i**3 - 17*i**2 + 15*i + 16. Let y be c(16). Suppose y = -5*w + 4*o + 248, 0*o - 150 = -3*w + 3*o. Calculate the greatest common divisor of 24 and w.", "a": "24" }, { "q": "Let c = -183 + 135. Let p = c - -54. Let s be 10/(1 - 2/3). Calculate the highest common divisor of s and p.", "a": "6" }, { "q": "Let i(m) = 2*m**2 - 92*m + 186. Let a be i(2). Suppose -3*h - 649 = -4*k, 0 = -k + 4*h + 146 + 26. What is the greatest common factor of k and a?", "a": "10" }, { "q": "Let u = -19 + 26. Suppose 234 = 2*b + u*b. What is the greatest common divisor of b and 13?", "a": "13" }, { "q": "Suppose j - q = 30, 181*j = 176*j - q + 174. Calculate the greatest common divisor of j and 578.", "a": "34" }, { "q": "Suppose -3*i + 4*n + 25 = 0, -4*i + 0*n = -2*n - 30. Let l(d) = -d**3 + 7*d**2 + 11*d + 3. Let s be l(i). What is the greatest common factor of 5 and s?", "a": "5" }, { "q": "Suppose -145*k = -3*d - 143*k - 22, -3*d - 5*k = 8. Let m = -1 + 1. Let l = m - d. What is the highest common factor of l and 6?", "a": "6" }, { "q": "Let c be (4 - 2)/((2/(-62))/(-20 - 69)). What is the highest common factor of 62 and c?", "a": "62" }, { "q": "Let c(m) = 29*m - 1111. Let v be c(59). What is the greatest common factor of v and 1320?", "a": "120" }, { "q": "Suppose -27*m = -924 - 1020. Calculate the highest common divisor of m and 1206.", "a": "18" }, { "q": "Suppose 2*u = 4*q + 10, 3*u + 0*q = -2*q + 15. Suppose 3*g - 1748 = s - 1733, 0 = -3*s + 4*g + 5. Calculate the highest common factor of s and u.", "a": "5" }, { "q": "Let w be (1*12/15)/(9 + 1565/(-175)). Calculate the highest common factor of 721 and w.", "a": "7" }, { "q": "Let q be (-308)/(-60) + 0 + (-2)/15. Let b(j) = -8*j + 57. Let v be b(q). Calculate the highest common factor of v and 17.", "a": "17" }, { "q": "Let z = -221 - -216. Let w be -9*((-12)/2 - z). Calculate the highest common factor of 1 and w.", "a": "1" }, { "q": "Suppose -38*d + 4023 + 2569 = 2146. What is the highest common divisor of 99 and d?", "a": "9" }, { "q": "Suppose 3*o - l + 0*l = 26, 0 = 2*o - 4*l - 14. Let x be (5/((-15)/(-12)))/1. Let d be x + ((-3)/3 - -42). What is the greatest common divisor of d and o?", "a": "9" }, { "q": "Let q be 21*(-5)/(-3)*1. Suppose 0*z = 5*z - q. Let f(l) = -l**2 + 9*l - 5. Let g be f(z). What is the greatest common divisor of g and 9?", "a": "9" }, { "q": "Suppose -131*u + q - 67 = -135*u, -u - 2*q + 15 = 0. Calculate the greatest common factor of 697 and u.", "a": "17" }, { "q": "Let i = 23 - 7. Let j be ((-63)/(-14))/((-6)/i). Let w = 43 + j. Calculate the highest common divisor of w and 248.", "a": "31" }, { "q": "Suppose 0 = -4*q - 122*q + 504. What is the highest common factor of 20 and q?", "a": "4" }, { "q": "Let g(v) = -v**3 - 37*v**2 - 3*v + 117. Let y be g(-37). What is the highest common divisor of 513 and y?", "a": "57" }, { "q": "Let j be 6/4*4/3. Let u be 2/6*118 - j/6. Calculate the highest common factor of u and 65.", "a": "13" }, { "q": "Suppose -9 = n - 4*c, c - 5 = -1. Suppose 3*i = -4 + n. Let p = -684 + 687. Calculate the greatest common factor of i and p.", "a": "1" }, { "q": "Suppose -m + 5*m + 19456 = 20*m. What is the greatest common factor of 64 and m?", "a": "64" }, { "q": "Let t(f) = f**2 - 15*f + 2. Let z be t(15). Suppose 3*y = 0, 0*j - z*y = -3*j. Let k be (-4 + j)/((-5)/5). Calculate the highest common divisor of 4 and k.", "a": "4" }, { "q": "Let t(r) = r**2 - 4*r - 2. Let o be t(5). Suppose o*m + 12 = 39. Suppose 2*s + c - 248 = -s, s = 4*c + 61. What is the greatest common divisor of s and m?", "a": "9" }, { "q": "Let a = -1 + -23. Let j be 0 + 5324/99 + 2/9. Let u = a + j. What is the highest common factor of 60 and u?", "a": "30" }, { "q": "Let z(d) = -2*d**2 - 17*d + 7. Let x be z(-9). Let a be (x/(-4))/(1/374). What is the greatest common factor of a and 17?", "a": "17" }, { "q": "Let y = -8 - -10. Let g(q) = 64*q - 2. Let c be g(-7). Let v be 2/(896/c + y). Calculate the greatest common divisor of v and 25.", "a": "25" }, { "q": "Suppose 99 = -0*i + 9*i. Let g(x) = 25*x + 7. Let a be g(3). Suppose -a = -2*v - 3*f, 3*v + 3*f = 4*f + 134. Calculate the greatest common factor of i and v.", "a": "11" }, { "q": "Let k be 2/(-4 + -2) + (-15540)/(-180). What is the greatest common divisor of k and 86?", "a": "86" }, { "q": "Suppose 0*u + 5*u - 605 = 0. Let r be (-4)/5*450/(-20). Let n = r + -7. What is the highest common factor of n and u?", "a": "11" }, { "q": "Let t(o) be the third derivative of -o**5/60 + 2*o**4/3 - 7*o**3/6 - 4*o**2. Let a = 21 + -10. Let s be t(a). Calculate the highest common factor of 32 and s.", "a": "16" }, { "q": "Let h = 218 + -153. Suppose -60*b - 40 = -h*b. Calculate the greatest common divisor of b and 216.", "a": "8" }, { "q": "Suppose -w = w - 8. Suppose -4*y = 2*t + 2 + 2, -5*y - 10 = 0. Suppose -t*m = -3*m + 44. Calculate the highest common divisor of w and m.", "a": "4" }, { "q": "Let z be 528/54 - 4/(-18). Let c be (4 + -1)/(3/5). Suppose 2*o + 48 = 4*p + 18, 3*p = -c*o - 10. What is the greatest common factor of p and z?", "a": "5" }, { "q": "Suppose -12*u + 11760 = 3*u. Suppose 0 = 13*j - 20*j + u. Let w = 27 - 13. What is the highest common factor of j and w?", "a": "14" }, { "q": "Suppose 2*o - 2*q = -3*o - 196, 2*o - 2*q = -76. Let g = 58 + o. Let i = -88 + 115. Calculate the greatest common divisor of i and g.", "a": "9" }, { "q": "Let u be (6889/6)/(-21*(-1)/126). What is the highest common divisor of u and 83?", "a": "83" }, { "q": "Suppose -2*o = -3*o + 227. Let x = 287 - o. Calculate the highest common factor of 180 and x.", "a": "60" }, { "q": "Suppose 3*j - 259 = -u, 5*j - 752 = -3*u + j. Let p = u + -221. Calculate the greatest common divisor of p and 230.", "a": "23" }, { "q": "Let h(v) = v**3 + 11*v**2 + 17*v - 25. Let m be h(11). Suppose -m - 5756 = -20*n. What is the highest common factor of n and 39?", "a": "39" }, { "q": "Let i = -83 - -83. Let q be ((1 + i)/1)/((-4)/(-96)). Let a be (12/(-10))/(6/(-15)). What is the highest common factor of a and q?", "a": "3" }, { "q": "Let g = 2387 - -49. Calculate the greatest common factor of 84 and g.", "a": "84" }, { "q": "Let i be 14/5*(-350)/(-2). Calculate the highest common factor of i and 56.", "a": "14" }, { "q": "Let x be ((-99)/6 + -3)/((-6)/2304*9). What is the highest common factor of x and 52?", "a": "52" }, { "q": "Suppose 44*d = 42*d + 1156. Suppose -5*m + 2*f = -140 - d, m = 3*f + 141. What is the greatest common factor of 9 and m?", "a": "9" }, { "q": "Suppose -7*w - 6*w + 1610 = 10*w. Suppose -o + 3*o - 8 = 0. Suppose 0*t - o*t = -56. What is the highest common divisor of t and w?", "a": "14" }, { "q": "Suppose -6*x + 1 = -5*j - 0*j, -2*x = -3*j + 1. What is the greatest common divisor of 161 and x?", "a": "1" }, { "q": "Let j(u) = u**2 + 14*u - 54. Let o be j(4). Calculate the greatest common divisor of 819 and o.", "a": "9" }, { "q": "Let m(t) = 27*t + 7 - 11*t + 4*t**2 + 10 - t**2. Let d be m(-7). What is the highest common factor of d and 130?", "a": "26" }, { "q": "Let c(k) be the third derivative of 7*k**5/20 - 7*k**4/24 + 5*k**3/6 + 4*k**2. Let r be c(2). Let j = 61 + -46. What is the highest common divisor of r and j?", "a": "15" }, { "q": "Suppose -3*n - 9*s + 146 = -11*s, -245 = -5*n + 3*s. Let k = n + 58. Calculate the highest common divisor of k and 10.", "a": "10" }, { "q": "Let a be ((-2)/(-4))/(4/88). Let n be 1143/21 + (48/(-14))/(-6). What is the greatest common divisor of n and a?", "a": "11" }, { "q": "Let o(d) = 72*d**2 - 8*d - 4. Let h be o(-2). Suppose 0 = 5*s - 2*f - 0*f - 298, -2*s + 4*f = -116. What is the highest common factor of s and h?", "a": "60" }, { "q": "Suppose 40 = n + 3*n. Suppose -n + 4 = -3*s. Let w be s - (-2)/(-2) - (-9 - -1). Calculate the greatest common factor of 81 and w.", "a": "9" }, { "q": "Let l be (-100)/(-6)*(-504)/(-20). Let s = -43 - -71. What is the greatest common divisor of l and s?", "a": "28" }, { "q": "Suppose 5*k = 4*s + 164, 14 = -s + 4*k - 16. Let y be 1*s/(-1) - -4. What is the greatest common divisor of 10 and y?", "a": "10" }, { "q": "Let d(t) = t**2 - 5*t - 34. Let g be d(17). Let h = g - 168. Calculate the highest common divisor of h and 26.", "a": "2" }, { "q": "Let c be -2*((9/6)/(-1))/(-3). Let l be (c - -13) + (-31)/31. Suppose 91 = -2*b + 333. What is the highest common factor of l and b?", "a": "11" }, { "q": "Suppose -2221 - 1619 = -48*t. What is the highest common divisor of t and 250?", "a": "10" }, { "q": "Let z(v) = v**2 - 1. Let l be z(3). Suppose a + 56 = 2*h, -9*h + 3*a = -10*h. What is the highest common factor of l and h?", "a": "8" }, { "q": "Let m be 40/(-12)*12/(-10). Let l be m/(-2)*(-3 - -334). Let t = -432 - l. What is the highest common factor of t and 23?", "a": "23" }, { "q": "Let d = 66 - 36. Suppose 5*j - 412 = 44*l - 48*l, -4*l + 252 = 3*j. Calculate the greatest common factor of d and j.", "a": "10" }, { "q": "Let p be -1 - 2 - (1 - (2 - -5)). Suppose -4*a = -5*d - 184, 0 = -p*a + 2*d + d + 141. Let h = a + -39. Calculate the greatest common factor of h and 108.", "a": "12" }, { "q": "Let k(n) be the third derivative of -n**5/60 + n**4/6 + n**3/2 - n**2. Let q be k(4). Let y be (15 + 0)*12/30. Calculate the highest common divisor of q and y.", "a": "3" }, { "q": "Suppose -6*y - 65 = 7*y. Suppose z + 4*m - 24 = 0, 0*m = 3*z - m - 20. Let n = z - y. What is the highest common factor of n and 13?", "a": "13" }, { "q": "Suppose -49*u - 6700 = -57*u - 59*u. Calculate the greatest common divisor of u and 260.", "a": "20" }, { "q": "Let v be (1/(-3))/((-11)/6039). Suppose -2*y = -25*d + 26*d - 124, 3*d = y + 365. Calculate the highest common divisor of d and v.", "a": "61" }, { "q": "Suppose -18 - 38 = -4*y. Let g be ((-36)/(-5))/(y/105). What is the greatest common divisor of g and 189?", "a": "27" }, { "q": "Let n = 136 + -111. Suppose -n*z - 35 = -30*z. Let y(q) = -q**3 + q - 3. Let x be y(-3). What is the greatest common factor of z and x?", "a": "7" }, { "q": "Let j(k) = -4*k**2 + 3*k + 3*k**2 - 12*k + 1. Suppose -6 = 4*u + 4*a - 10, -5*a = -25. Let m be j(u). Calculate the highest common divisor of m and 189.", "a": "21" }, { "q": "Let z = -4179 - -4603. Calculate the highest common divisor of z and 1166.", "a": "106" }, { "q": "Suppose d = -3*h + 64, -2*h + 5*h = -5*d + 80. Calculate the highest common divisor of 52 and h.", "a": "4" }, { "q": "Let t be (-97)/(-3) + 3/(-9). Suppose 0 = -186*u - 178*u + 350*u + 448. What is the greatest common divisor of u and t?", "a": "32" }, { "q": "Let a = -15 - -20. Let v(o) = -15*o**2 + a*o - 15*o - 8 + 14*o**2. Let i be v(-6). What is the highest common factor of i and 8?", "a": "8" }, { "q": "Suppose 0 = -7*i + 2*i + 420. Suppose 0*w = 3*w - i. Let y = 517 + -265. Calculate the greatest common factor of y and w.", "a": "28" }, { "q": "Let l be (-13)/(-4) + 3/(-12). Suppose l*z - 29 = -4*a + 11, -4*z = -2*a - 2. What is the highest common divisor of a and 91?", "a": "7" }, { "q": "Suppose -2*m = 5*w - 792, 4*w + 0*w - 1584 = -4*m. Suppose 4*c - 376 = -2*i, -2*c + 3*i = 2*c - m. Calculate the greatest common divisor of 6 and c.", "a": "6" }, { "q": "Suppose 12 = 5*z - 2*z. Suppose 2*l = -4*h + z, 2*l - l - 2 = 2*h. Let a be -11*(l/9 + (-121)/99). What is the greatest common divisor of a and 110?", "a": "11" }, { "q": "Let f be -46 + (-12)/(-9)*-3. Let j = f - -64. Suppose 2*x - 4*v = 4*x + j, 0 = -5*x + v + 20. Calculate the greatest common divisor of x and 2.", "a": "1" }, { "q": "Let a(l) = -l**3 - 13*l**2 + 5*l + 11. Let p be a(-13). Let k be (288/p)/((-1)/21). Calculate the greatest common divisor of 280 and k.", "a": "56" }, { "q": "Let z = -25 - -27. Suppose 0 = z*t - 207 + 31. Let n be (-6 - 0)*(-24)/18. What is the highest common factor of t and n?", "a": "8" }, { "q": "Let h = 11 + -7. Let u(p) be the first derivative of 9*p**2 - 10*p - 43. Let a be u(3). What is the highest common divisor of a and h?", "a": "4" }, { "q": "Let j(x) = 2*x**3 - 3*x**2 - 10*x + 4. Let v be j(4). Let m be (v/14)/((-7)/(-49)). Let c be -33*3*(-2)/9. Calculate the greatest common divisor of c and m.", "a": "22" }, { "q": "Let k(d) = 48*d**2 - 4*d - 4. Let s be k(-3). Suppose -8*v + 4*v + s = 0. Let f be ((-6)/(-10))/(11/v). What is the highest common factor of 48 and f?", "a": "6" }, { "q": "Suppose -2210 = -14*g - 20*g. Let h(f) = -f**3 - 14*f**2 + 13*f - 17. Let o be h(-15). Calculate the greatest common divisor of g and o.", "a": "13" }, { "q": "Let l be (-5)/1 - 24/36*(-3810)/20. Calculate the greatest common divisor of l and 1525.", "a": "61" }, { "q": "Let z = -64 + 114. Let b be (-77)/(-8) - 201/(-536). What is the greatest common factor of b and z?", "a": "10" }, { "q": "Suppose 5*v - 2*j - 808 = 972, 5*v - j = 1780. Calculate the highest common factor of 801 and v.", "a": "89" }, { "q": "Suppose 5*t = 5*c + 35, 5*t = -c + t - 2. Let v = c - -8. Suppose -v*z = 3*j - 50, -z = 5*j - 0*z - 88. What is the highest common factor of 144 and j?", "a": "18" }, { "q": "Let v(z) = -z**3 - 14*z**2 - 22*z - 18. Let k be v(-13). Let l be (k/(-44))/((-3)/100). Calculate the greatest common divisor of 15 and l.", "a": "15" }, { "q": "Let x = -4114 + 4821. What is the highest common divisor of x and 7?", "a": "7" }, { "q": "Suppose -5*j = 3*l + 6, 5*j - 5*l + 2*l - 6 = 0. Let h be j/3 - 0 - -6. Calculate the greatest common divisor of 12 and h.", "a": "6" }, { "q": "Let r be 1/(((-107)/(-12) - 9)/(1/(-2))). Suppose -2*z - z = -18. What is the greatest common divisor of r and z?", "a": "6" }, { "q": "Let w be -5*(-46 + 24/(-6)). What is the highest common divisor of w and 75?", "a": "25" }, { "q": "Let i(d) = -d + 3. Let m(b) = b + 12. Let k(n) = 2*i(n) + m(n). Let y be k(-22). Calculate the greatest common divisor of y and 60.", "a": "20" }, { "q": "Let g(b) = -b**2 - 76*b - 415. Let p be g(-9). What is the greatest common divisor of p and 564?", "a": "188" }, { "q": "Suppose m + 848 = h, 2*m = -315 + 319. What is the greatest common factor of 125 and h?", "a": "25" }, { "q": "Suppose 0*p - 5*p + 4*b = -860, -714 = -4*p - 2*b. Calculate the greatest common divisor of 99 and p.", "a": "11" }, { "q": "Suppose -3*t - 56 = -t + 2*v, -4*t + 2*v = 112. Let r be ((-20)/8 - -1)*t/3. Calculate the highest common divisor of r and 4.", "a": "2" }, { "q": "Let q be (-48)/32*((-2)/2 - 27). Let t = q - 0. What is the highest common factor of 336 and t?", "a": "42" }, { "q": "Suppose -7*w - 355 = -1111. What is the greatest common divisor of w and 3456?", "a": "108" }, { "q": "Suppose 1174*l - 1138*l + 15 = 87. Let i = 9 + 7. What is the highest common divisor of l and i?", "a": "2" }, { "q": "Suppose 2*c + 2*k - 176 = -0*k, -3*c + 280 = -5*k. Let u be 20 - -1*(2 + -4) - -1. Suppose u = 6*y - 89. What is the highest common factor of c and y?", "a": "18" }, { "q": "Let o(c) = -6*c - 12. Let x be o(-7). Suppose -7*d + d = -54. Suppose -225 = -14*h + d*h. Calculate the greatest common factor of h and x.", "a": "15" }, { "q": "Suppose 0 = -16*s + 480 + 96. Let u be (-2)/4*-4 + 0. Suppose -u*o = -6*o + 24. What is the highest common divisor of o and s?", "a": "6" }, { "q": "Let b(v) = -4*v - 55. Let q(p) = -9*p - 110. Let i(k) = -7*b(k) + 3*q(k). Let f be i(0). Suppose -f = -4*d - d. Calculate the highest common factor of 11 and d.", "a": "11" }, { "q": "Let u be 2/(-4) - 469/(-14)*1. Suppose h - 4*k = -15, -h + 0*h + 2*k = 7. Let i be (h - -1 - 1)*11. What is the highest common factor of i and u?", "a": "11" }, { "q": "Let v = -3086 + 3548. Calculate the highest common factor of v and 143.", "a": "11" }, { "q": "Suppose -19 = -l + 3*t, 3*l + 2*t + t = 33. Let m be (-10)/(-40)*(577 + -5). What is the highest common divisor of l and m?", "a": "13" }, { "q": "Let k be (-4 + (-91)/(-21))*57. Calculate the greatest common divisor of k and 3401.", "a": "19" }, { "q": "Suppose -372 = -2*o + 248*c - 252*c, 726 = 4*o + 2*c. Calculate the highest common divisor of o and 810.", "a": "90" }, { "q": "Suppose -5*w - h - 35 = -7*w, 0 = w + h - 10. What is the highest common divisor of w and 1770?", "a": "15" }, { "q": "Suppose -225*f + 14372 = -24103. Calculate the highest common divisor of 19 and f.", "a": "19" }, { "q": "Let w = 805 + -1244. Let l = w - -933. Suppose -l = -3*p + 106. What is the highest common factor of p and 25?", "a": "25" }, { "q": "Let t = 3 + 3. Let c = 1302 + -1298. Calculate the highest common factor of t and c.", "a": "2" }, { "q": "Let m(r) = -265*r**2 + 3*r + 4. Let s be m(-1). Let p be s/54*(-18)/4. What is the highest common factor of 2 and p?", "a": "2" }, { "q": "Suppose 9*n = 17*n - 3*n - 7920. Calculate the highest common divisor of 6 and n.", "a": "6" }, { "q": "Let k = 47 + -44. Let b(g) = -g**2 + 4*g. Let n be b(k). Suppose -4*f + n*u + 1713 = 0, -5*u + 5 = -0*u. What is the highest common factor of f and 39?", "a": "39" }, { "q": "Suppose 3*x = -0*x - 3. Let d be (-44)/(-4) - x - 3. Suppose -d*q = -7*q - 24. What is the greatest common divisor of q and 6?", "a": "6" }, { "q": "Let t(a) = -11*a - 20. Suppose 5*u + 20 = -5. Let c be t(u). Suppose c = 3*j - 10. What is the greatest common divisor of j and 135?", "a": "15" }, { "q": "Let f(m) = -8 + 9*m**3 + 5*m**3 + 0*m - 15*m**3 - 4*m**2 + 18*m. Let w be f(-8). Calculate the highest common factor of 13 and w.", "a": "13" }, { "q": "Suppose -b - 8 = -5*b. Let g = -293 + 336. Let i = g + b. Calculate the highest common divisor of i and 30.", "a": "15" }, { "q": "Let n(x) = 11*x**2 + 56*x - 220. Let w be n(-16). What is the greatest common divisor of w and 500?", "a": "100" }, { "q": "Let p = -85 - -76. Let u(b) = b**2 + 9*b + 13. Let c be u(p). Calculate the highest common divisor of 91 and c.", "a": "13" }, { "q": "Let v(i) = 17*i - 83. Let h be v(5). Suppose -2*n + 3*n - h = 0, 4*s + 2*n = 144. What is the highest common factor of 315 and s?", "a": "35" }, { "q": "Let j = 204 - -132. Suppose 0 = -249*y + 245*y + j. Calculate the highest common factor of y and 140.", "a": "28" }, { "q": "Suppose -2*f + 58 + 134 = 0. Suppose 4*o = 4, 85 + 354 = 2*z + 3*o. Suppose 0 = 20*a - 262 - z. Calculate the greatest common factor of a and f.", "a": "24" }, { "q": "Let t be ((-736)/(-12))/(7/21). Let c = 195 - t. Let p be ((-66)/(-5))/((-6)/(-20)). What is the greatest common factor of p and c?", "a": "11" }, { "q": "Suppose -7*u + 337 = -230. Suppose 3*x = 2*x + 2*k + u, 79 = x - 3*k. What is the highest common factor of x and 34?", "a": "17" }, { "q": "Suppose 5*g = 5*p + 7*g - 195, 4*p - 156 = -2*g. What is the highest common factor of p and 1677?", "a": "39" }, { "q": "Suppose 0 = -63*f + 49*f + 140. What is the highest common divisor of 3730 and f?", "a": "10" }, { "q": "Let l = -40 - -36. Let s be 3 - (l + 5) - -6. Let v(r) = -r**2 + 19*r - 2. Let a be v(10). What is the highest common factor of a and s?", "a": "8" }, { "q": "Let n = -14 + 19. Suppose -296 + 346 = n*o. What is the highest common divisor of 15 and o?", "a": "5" }, { "q": "Let l(v) = 33*v**3 + 6*v**2 - 4*v. Let t be l(2). Suppose 3*r + 0*h = 3*h + 435, -4*h = -2*r + t. What is the greatest common factor of 30 and r?", "a": "30" }, { "q": "Let z = 4924 + -4777. What is the highest common factor of 105 and z?", "a": "21" }, { "q": "Suppose -t + 20 = -j, 4*j + 51 - 13 = 2*t. Suppose v + 2*o - t = -8, -v + 21 = -2*o. Calculate the highest common divisor of 187 and v.", "a": "17" }, { "q": "Let p = -218 + 218. Suppose -2*z - q = -p*q - 116, -5*z + 312 = -3*q. What is the greatest common factor of z and 540?", "a": "60" }, { "q": "Let z(c) = -6*c - 21. Let q be z(-5). Suppose 129 + q = d. What is the highest common factor of d and 6?", "a": "6" }, { "q": "Suppose 2*q = -v + 1819, 3*q + 783 - 4419 = -2*v. Calculate the highest common factor of v and 660.", "a": "165" }, { "q": "Suppose -5*g + 3*y + 445 = 0, -2*y + y + 425 = 5*g. Suppose 0 = 3*c - o - 4*o - 407, 0 = -2*c - 3*o + 246. What is the greatest common factor of g and c?", "a": "43" }, { "q": "Let j(x) = -x**3 - 6*x**2 - 6*x. Let g be j(-4). Let n(w) = 2*w + 14. Let i be n(g). Let b be i/(-13) + 1602/234. What is the highest common factor of 63 and b?", "a": "7" }, { "q": "Let k be (-265)/(-7) + (-1 - (-32)/28). Let m = -10 + k. Let q = m - 10. What is the highest common factor of q and 6?", "a": "6" }, { "q": "Let r = -1687 + 1703. What is the highest common divisor of r and 464?", "a": "16" }, { "q": "Let s = -1832 + 1937. Let p be 3/(-9)*(1 + -46). What is the highest common divisor of s and p?", "a": "15" }, { "q": "Suppose 43*q - 1247 = 7353. Calculate the highest common factor of q and 40.", "a": "40" }, { "q": "Suppose q = -3*w + 21, -12*q + 3*w + 99 = -8*q. What is the highest common factor of 828 and q?", "a": "12" }, { "q": "Suppose -2*t + 313 = -5*d, 0*t + 3*d - 459 = -3*t. What is the greatest common divisor of 280 and t?", "a": "14" }, { "q": "Let z = -2644 - -2698. Calculate the greatest common divisor of 126 and z.", "a": "18" }, { "q": "Let v = 2528 - 2256. Calculate the greatest common divisor of 208 and v.", "a": "16" }, { "q": "Suppose -277 = q - 557. Let i(l) = 111*l**3 + 2*l**2 - 2*l + 1. Let m be i(1). What is the highest common factor of m and q?", "a": "56" }, { "q": "Let t be (-313)/(-8)*8 + (-5)/(15/(-18)). Calculate the greatest common factor of 290 and t.", "a": "29" }, { "q": "Let i = -177 + 184. Let v(y) = -y**3 + 12*y**2 - 15*y + 5. Let o be v(i). Calculate the greatest common factor of o and 29.", "a": "29" }, { "q": "Suppose -4*z + 8 = 4*t - 0*t, 0 = 4*z - 20. Let b be (-17)/t - 5 - (-200)/6. Let w = b - -18. Calculate the greatest common factor of 26 and w.", "a": "26" }, { "q": "Suppose 26*u = -22580 + 23828. Let a be (-2)/2*7*-16. Calculate the greatest common factor of a and u.", "a": "16" }, { "q": "Suppose 0*f = -3*f - 15, -2*f - 1528 = -3*b. What is the highest common factor of b and 46?", "a": "46" }, { "q": "Let u be (-6)/2 - ((-2008)/72 - 1/9). What is the greatest common divisor of 4525 and u?", "a": "25" }, { "q": "Suppose 0 = 4800*p - 4803*p + 5 + 7. What is the greatest common divisor of p and 108?", "a": "4" }, { "q": "Suppose 4*m - 2*n = 40, -3*n - 7 = 3*m - 37. Suppose 5*z - m = -4*a, z - 2 = 2*a - 4*a. Suppose -z + 53 = c. Calculate the highest common factor of 34 and c.", "a": "17" }, { "q": "Suppose 0 = -25*l + 27*l - 32. Suppose -10*d + l + 84 = 0. What is the highest common factor of 90 and d?", "a": "10" }, { "q": "Suppose 1388 = 48*d - 100. What is the highest common factor of 496 and d?", "a": "31" }, { "q": "Let j(p) = -p**2 + 5*p + 401. Let u be j(19). What is the highest common divisor of u and 435?", "a": "15" }, { "q": "Let l(v) = -2*v**2 + 149*v - 206. Let w be l(58). What is the highest common factor of w and 56?", "a": "28" }, { "q": "Suppose 2*y + 106 - 109 = u, -y + 18 = 5*u. Calculate the greatest common factor of 363 and y.", "a": "3" }, { "q": "Let b(o) = 28*o**2 + 2*o - 5. Let w be b(3). Let q(f) = -2*f**2 + 19*f - 21. Let z be q(4). Calculate the greatest common divisor of z and w.", "a": "23" }, { "q": "Let r(u) = 16*u + 133. Let m be r(-8). Calculate the greatest common factor of m and 2825.", "a": "5" }, { "q": "Suppose -4*r + 3*c - 1287 = 245, 2*r - 4*c = -756. Let w = -243 - r. What is the highest common divisor of w and 13?", "a": "13" }, { "q": "Let h be 3/(-5) - 14634/(-90). Let x(m) = -2*m**2 - 25*m + 6. Let w be x(-12). What is the greatest common divisor of w and h?", "a": "18" }, { "q": "Suppose 1435 = 10*s - 305. What is the highest common divisor of 42 and s?", "a": "6" }, { "q": "Let q(m) = -1. Suppose 0 = -10*y + 13*y - 3. Let g(k) = k + 38. Let c(s) = y*g(s) + 6*q(s). Let v be c(-12). What is the greatest common factor of v and 10?", "a": "10" }, { "q": "Let o be -3 + 13 - (1 - 3). Suppose -2*z + 54 + o = 0. Suppose -5*c + 3*b = -70, -5*c = 3*b + b - 35. Calculate the greatest common divisor of c and z.", "a": "11" }, { "q": "Suppose 1661*q - 1656*q = -j + 11019, 0 = -3*q - 2*j + 6610. What is the highest common factor of q and 19?", "a": "19" }, { "q": "Suppose -5*d + 4*y = -706, -2*d + 5*d - 2*y - 424 = 0. Let b = d - 120. Calculate the greatest common factor of 2 and b.", "a": "2" }, { "q": "Let x(t) = t**3 - 11*t**2 + t - 7. Suppose 2*m = -4*m + 66. Let i be x(m). Suppose i*u = -u + 875. What is the greatest common factor of u and 35?", "a": "35" }, { "q": "Let p(k) = 40*k**2 - 27*k - 19. Let r be p(-1). What is the greatest common factor of 5808 and r?", "a": "48" }, { "q": "Suppose -t + 18 - 7 = 0. Let s be -6 + t/1 - -85. What is the greatest common divisor of s and 120?", "a": "30" }, { "q": "Let w(r) = -54*r - 229. Let i be w(-13). Calculate the highest common factor of 88 and i.", "a": "11" }, { "q": "Let x(n) = -n**3 + n**2 + 2*n + 1. Let a be x(2). Suppose -a = s + 4. Let b = 35 - s. Calculate the greatest common factor of 20 and b.", "a": "20" }, { "q": "Let c = 3680 + -3643. What is the highest common factor of 1184 and c?", "a": "37" }, { "q": "Suppose -70 + 18 = 4*f. Let v = f + 25. Let c = 27 - v. Calculate the greatest common divisor of 75 and c.", "a": "15" }, { "q": "Let q = -73 + 109. Suppose 3*j - 54 = -2*o, -3*j - 35 = o - 71. Calculate the highest common factor of o and q.", "a": "18" }, { "q": "Suppose 3*j - 2*c - 4 = 2*j, 3*j = 3*c + 12. Suppose -j*u + u = -357. What is the highest common factor of 68 and u?", "a": "17" }, { "q": "Let z be 2/7 - -2*(-65)/14. Let y(c) = 2*c**2 + 14*c. Let x be y(z). Calculate the greatest common divisor of x and 54.", "a": "18" }, { "q": "Suppose 0*t - 2*t + 23 = 3*s, 0 = 4*t - s - 53. Let n(f) = -11*f + f**2 - 11*f - 9 + 10*f. Let g be n(t). Calculate the highest common divisor of 32 and g.", "a": "4" }, { "q": "Suppose -4*r + r + 69 = 2*d, 0 = 4*d - 5*r - 105. Let x(j) = -19*j**3 - 2*j**2 - j. Let t be x(-1). Calculate the greatest common divisor of t and d.", "a": "6" }, { "q": "Suppose 0 = 11*w + 38 - 5. Let t be (-2 + w - -24)*(7 - -1). What is the highest common factor of t and 19?", "a": "19" }, { "q": "Let x be 9*1*(-1 + 2). Suppose 2*b - 510 = -3*f + 95, b - 613 = -3*f. What is the highest common factor of f and x?", "a": "9" }, { "q": "Suppose 2*p + 18 = -0*c + 2*c, 0 = -3*p. Let a = c - 4. Let t(y) = -16*y + 1127. Let q be t(67). What is the highest common divisor of a and q?", "a": "5" }, { "q": "Suppose 4*f = 4*r + 7*f - 40, 4*r - 24 = f. Let q(n) = n**3 - 6*n**2 - n + 13. Let c be q(r). What is the greatest common factor of c and 110?", "a": "55" }, { "q": "Let d be (9176960/78)/20 - ((-8)/6 - -1). Calculate the greatest common factor of 111 and d.", "a": "111" }, { "q": "Suppose -5*i = -18 + 13, 5*i - 10697 = -3*d. What is the greatest common factor of d and 33?", "a": "33" }, { "q": "Let f(r) = -r**2 - 56*r - 20. Let k be f(-6). Calculate the highest common factor of k and 1610.", "a": "70" }, { "q": "Let b(r) = -r**3 + 8*r**2. Let f be b(8). Suppose f = -20*t + 22*t - 220. Suppose -10 = 2*h - t. Calculate the greatest common divisor of 5 and h.", "a": "5" }, { "q": "Let g(t) = -20*t + 555. Let y be g(-6). What is the highest common factor of y and 108?", "a": "27" }, { "q": "Let c(n) = -12*n + 4. Let r be c(-3). Let z = -267 - -183. Let a = z - -184. What is the greatest common divisor of a and r?", "a": "20" }, { "q": "Let g(j) = 85*j**3 + j**2 - 4*j + 3. Let w be g(1). What is the highest common divisor of 10 and w?", "a": "5" }, { "q": "Let c = -438 + 958. Suppose -5*p + 251 = -3*n, -n - 4*n + 15 = 0. Calculate the highest common factor of c and p.", "a": "52" }, { "q": "Let j(y) = y**2 - 26*y - 125. Let v be j(-19). Calculate the highest common factor of v and 70.", "a": "10" }, { "q": "Let p be (36 - 39)*(-17 + -1). Let o = p - 40. What is the greatest common factor of o and 1?", "a": "1" }, { "q": "Let i be (154/63)/11 + (-655)/(-9). Let w = -63 + i. What is the highest common factor of w and 40?", "a": "10" }, { "q": "Let l(x) = 2*x**3 - 10*x**2 - 12*x + 5. Let q be l(6). Suppose 4*s - 127 = q*b, 3*s + 0*b - 95 = 4*b. Calculate the highest common divisor of 33 and s.", "a": "33" }, { "q": "Let w be (360/16)/((-18)/(-1128)). What is the greatest common factor of 150 and w?", "a": "30" }, { "q": "Let w(o) = 2*o**2 - 17*o + 20. Let g be w(10). Suppose -5*l = -5*z + 35, -5*z + 4*l - 11 = -g. What is the highest common factor of z and 352?", "a": "11" }, { "q": "Let a(d) be the second derivative of -17*d**5/20 - d**4/12 - 5*d**3/6 + 3*d**2/2 + 56*d. Let u be a(-2). What is the highest common factor of u and 5?", "a": "5" }, { "q": "Suppose 79*a = 94*a - 1721 - 154. Suppose f - 4*f - 20 = -q, -3*f - 35 = -4*q. Calculate the greatest common divisor of a and q.", "a": "5" }, { "q": "Let r be ((-3088)/(-15) - (-70)/525) + 1. Calculate the greatest common factor of r and 9.", "a": "9" }, { "q": "Let p(n) = 12 + 19 + 3*n - 29 + 0*n + 15*n**2. Let g be p(-1). Let v = 22 + -1. What is the highest common factor of v and g?", "a": "7" }, { "q": "Suppose -419*a = -402*a - 612. Calculate the highest common divisor of 444 and a.", "a": "12" }, { "q": "Let x(b) = b**3 + 11*b**2 + 4. Let u be x(-11). Suppose 0 = -u*z - 2 + 10. Calculate the highest common divisor of 28 and z.", "a": "2" }, { "q": "Let n = 3574 + -3497. Calculate the highest common divisor of 1309 and n.", "a": "77" }, { "q": "Let l(w) = 17*w**3 - 3*w**2 - 4*w + 2. Let o be l(3). Let q = o + -242. What is the greatest common divisor of q and 36?", "a": "36" }, { "q": "Let b(o) = 10*o**3 - o**2 + o - 1. Let x be b(1). Let v be 2/9*x/1. Let d be ((-15)/v)/(-1)*(-80)/(-30). What is the greatest common divisor of 50 and d?", "a": "10" }, { "q": "Suppose -3*z + 4*q = -2823, -6*q + 2*q = -z + 933. What is the highest common factor of z and 84?", "a": "21" }, { "q": "Suppose 47 = 3*s - 169. Suppose -313 + 853 = 10*k. Let d be (-15)/(-2)*s/k. What is the highest common divisor of d and 25?", "a": "5" }, { "q": "Suppose 0 = 3*f - 2*b - 5072, 24*b - 21*b = f - 1693. Calculate the greatest common divisor of f and 20.", "a": "10" }, { "q": "Let d be 8*(-76)/8*48/(-24). Calculate the highest common factor of 7144 and d.", "a": "152" }, { "q": "Let q(v) = 4*v**2 + 93*v - 38. Let n be q(-24). Calculate the highest common factor of 24 and n.", "a": "2" }, { "q": "Suppose -62*z + 672 = -38*z. Calculate the highest common factor of 609 and z.", "a": "7" }, { "q": "Suppose -12*f = -9*f - 12. Let b be (f + 0)*-1 - (-30 - 2). Let z(l) = -3*l**3 - 4*l**2 - 3. Let u be z(-3). Calculate the greatest common divisor of b and u.", "a": "14" }, { "q": "Let s(v) = -v**3 - 33*v**2 - 94*v - 57. Let w be s(-30). What is the highest common factor of 2583 and w?", "a": "63" }, { "q": "Suppose 4*a = -b + 20, -32 = -4*a - 26*b + 22*b. What is the greatest common divisor of a and 214?", "a": "2" }, { "q": "Let y be (2 + (-16)/12)/((4/8058)/1). What is the highest common factor of 158 and y?", "a": "79" }, { "q": "Suppose 0 = 2*r + 2*i + 28, i - 25 = 4*r + 6. Let z be (32/3)/(-4)*r/6. Suppose -z*s - 15 = -7*s. Calculate the highest common divisor of 25 and s.", "a": "5" }, { "q": "Let d be 0 - -5 - (-19)/(190/8000). Calculate the greatest common divisor of 70 and d.", "a": "35" }, { "q": "Suppose -2*y - 45 = -5*y. Let g(a) = a**2 + 54*a - 361. Let k be g(-62). Calculate the highest common factor of y and k.", "a": "15" }, { "q": "Suppose 412 = 4*w - 2*i, -23*w + 3*i = -20*w - 303. What is the greatest common divisor of w and 490?", "a": "35" }, { "q": "Let m = -567 + 574. Let x be (12 - 0)/(-3) - -109. Calculate the greatest common divisor of x and m.", "a": "7" }, { "q": "Suppose -204 - 76 = 16*z - 1112. Calculate the highest common divisor of 338 and z.", "a": "26" }, { "q": "Suppose -3*j + 8*i = 13*i - 3139, -3*j - 3*i + 3147 = 0. Let z = j + -684. Calculate the greatest common factor of 41 and z.", "a": "41" }, { "q": "Let t = 4157 - 3832. What is the greatest common divisor of t and 475?", "a": "25" }, { "q": "Let k be 42/4*((-2)/19 - (-4508)/1311). What is the greatest common divisor of 3290 and k?", "a": "35" }, { "q": "Suppose -2*f + 385 = -389. Suppose -5*s - 182 = -4*l, 3*s = -4*l - s + 164. Calculate the greatest common factor of f and l.", "a": "43" }, { "q": "Suppose -h + 8 - 5 = 0. Let d(f) = 53*f + 7. Let b be d(2). Suppose 0*x - 3*x + 3 = 0, h*x - b = -5*q. Calculate the greatest common divisor of q and 33.", "a": "11" }, { "q": "Suppose -4*n = 154 - 514. Suppose 2*l + 4*b - 6 - 10 = 0, 5*l - 75 = -3*b. Calculate the highest common factor of l and n.", "a": "18" }, { "q": "Let j be ((-6)/10)/(7/(-175)*5) + 508. What is the greatest common divisor of j and 7?", "a": "7" }, { "q": "Let p(j) = 2*j**2 - 2*j - 12. Let v be p(-6). Let s be 16*(-20)/(-24)*9. What is the greatest common divisor of s and v?", "a": "24" }, { "q": "Let u = 273 + -262. What is the greatest common factor of u and 1309?", "a": "11" }, { "q": "Suppose -5*y - 137 = -b + 41, -y + 6*b = 24. Let c(a) = -a**3 + a**2 + a - 49. Let l be c(0). Let t = y - l. Calculate the highest common divisor of 104 and t.", "a": "13" }, { "q": "Let o = 20 - -61. Let r = 103 - o. What is the highest common divisor of 198 and r?", "a": "22" }, { "q": "Let m be 6 - (-5)/(-15)*1203. Let r = -233 - m. Calculate the highest common factor of r and 6.", "a": "6" }, { "q": "Let f = 4038 - 3804. What is the greatest common divisor of f and 108?", "a": "18" }, { "q": "Suppose 0*q + 4*i = -4*q, 2*q = -i + 4. Let d be (1715/14)/(6/q + -1). Calculate the highest common factor of d and 35.", "a": "35" }, { "q": "Suppose 4*b + 4*i + 12 = 0, 2*b = -3*b + 5*i + 35. Let a be -1 + (3 - b) - 28. Let w be 1 + 830/7 + (-12)/a. What is the greatest common factor of w and 15?", "a": "15" }, { "q": "Suppose 3*j - 4*a - 582 = 0, -a + 56 = -2*j + 449. Suppose 97 = 4*o + 25. Calculate the highest common factor of j and o.", "a": "18" }, { "q": "Let n be (6/(-8))/((-6)/32). Suppose j - 12 = -b - 4*j, n*b + 3*j - 82 = 0. Calculate the greatest common factor of b and 88.", "a": "22" }, { "q": "Suppose w - 3 = -1. Let a = -58 - -52. Let j be (a - -6) + 5 - 0. What is the greatest common factor of j and w?", "a": "1" }, { "q": "Let y be -2 + 9 + (-1 - 0). Suppose 0 = 7*k - y*k - 7. Suppose k*s = 13*s - 12. Calculate the highest common divisor of s and 2.", "a": "2" }, { "q": "Let w(k) = -k**3 - 6*k**2 - 6*k - 8. Let m be w(-5). Let h be (m - 252/(-5)) + (-2)/5. Let r = 1 + h. What is the greatest common factor of 24 and r?", "a": "24" }, { "q": "Suppose 3*t = -l + 61, 3*t + 16 = 4*t - 4*l. Suppose t*g = 365 + 415. What is the highest common divisor of g and 312?", "a": "39" }, { "q": "Let m be ((-3)/4 + (-20)/16)/((-3)/2667). What is the greatest common factor of 14 and m?", "a": "14" }, { "q": "Let y = -35 + 85. Let t = -38 - -41. Suppose 16 = 2*k + t*d + d, -28 = -3*k - 2*d. Calculate the greatest common divisor of y and k.", "a": "10" }, { "q": "Suppose 2*q - 6*q = -12. Suppose 179*i = -2*y + 180*i + 17, -3*i = y - 5. What is the highest common factor of q and y?", "a": "1" }, { "q": "Suppose 26*g + 25*g = 18*g + 693. Calculate the highest common factor of 267 and g.", "a": "3" }, { "q": "Let d = -766 - -1319. What is the greatest common divisor of d and 158?", "a": "79" }, { "q": "Let q be ((64629/688)/(1/4))/((-12)/(-64)). What is the highest common divisor of 24 and q?", "a": "12" }, { "q": "Let n(u) = 10*u - 206. Let i be n(0). Let w = 218 + i. What is the highest common factor of 54 and w?", "a": "6" }, { "q": "Let m(z) = -427 + 410 + 26*z + 5*z. Let i be m(3). What is the highest common divisor of 19 and i?", "a": "19" }, { "q": "Suppose 3 = 3*p - 27. Suppose p*r = -2*r + 312. Let z = 3 - -10. What is the highest common factor of r and z?", "a": "13" }, { "q": "Let z(d) = -2*d**3 - d**2 + d - 76. Let r be z(0). Let t be (1 - r) + (9 + -19 - -13). Let a = -15 - -25. What is the greatest common factor of t and a?", "a": "10" }, { "q": "Let i(v) = -51*v + 61. Suppose 29*q + 70 = 19*q. Let g be i(q). Calculate the greatest common factor of g and 22.", "a": "22" }, { "q": "Let t be 12/(15/(-5)) + 1*116. Suppose 3*f + 28 = d, -d - 2*d + 2*f = -t. What is the greatest common divisor of 24 and d?", "a": "8" }, { "q": "Let w be 21 + (0 - (1 + -4)). Let o(y) = 2*y**3 - 126*y**2 + 4*y - 192. Let r be o(63). Calculate the greatest common divisor of r and w.", "a": "12" }, { "q": "Let d = 32 + -36. Let c be (d/(-6))/((-34)/(-357)). Let n = 39 - -38. What is the greatest common divisor of c and n?", "a": "7" }, { "q": "Let x be (-4)/(-3)*-3 + 0. Let z be 1 + 1 - 4 - x. Suppose 3*k + 4*a = 112, -206 = -3*k - z*k + 3*a. Calculate the greatest common divisor of k and 100.", "a": "20" }, { "q": "Let b(w) = -3*w**2 - 76*w - 19. Let x be b(-25). Let c(d) = -d**3 + 6*d**2 + 4*d + 1. Let r be c(x). Calculate the greatest common factor of 300 and r.", "a": "25" }, { "q": "Suppose 240*a - 244*a + 859 = 5*b, -2*b = a - 214. What is the highest common factor of a and 2?", "a": "2" }, { "q": "Let y = 3514 - 3414. What is the greatest common divisor of y and 1300?", "a": "100" }, { "q": "Let w(f) = 288*f - 2. Suppose 4*c - 5*l + 124 = 0, -l + 44 = -c - 3*l. Let q = 37 + c. Let z be w(q). Calculate the greatest common factor of z and 26.", "a": "26" }, { "q": "Let x(g) = -2*g - 4. Let v be (-1)/4 + (-897)/(-52). Suppose 6*c + v = -19. Let j be x(c). What is the greatest common factor of j and 16?", "a": "8" }, { "q": "Let g(i) = -i**2 - 22*i + 86. Let x be g(-17). What is the highest common factor of 38 and x?", "a": "19" }, { "q": "Let c(z) = -8*z**3 - 3*z**2 - 5*z - 7. Let b be c(-2). Calculate the highest common factor of b and 2585.", "a": "55" }, { "q": "Suppose -4*c = -7*c - 4*z + 784, -c + 268 = 2*z. Let s be 62/(-6)*3*-1. Calculate the greatest common divisor of c and s.", "a": "31" }, { "q": "Suppose 4*x = 2*o + 34, -4*x + 9 = -3*o - 26. Let d be (3/9)/(x/(-16))*-162. What is the highest common factor of d and 270?", "a": "54" }, { "q": "Let f be (-4 - -6)/(3/159). Let n = -53 + f. What is the greatest common factor of n and 371?", "a": "53" }, { "q": "Let a be -9*1*1/2*-2. What is the highest common factor of a and 3609?", "a": "9" }, { "q": "Suppose 39*j = 25*j + 3654. Calculate the highest common divisor of 87 and j.", "a": "87" }, { "q": "Let d(s) = 22*s + 4. Let m be d(4). Let c(f) = f**2 - 1465*f + 10252. Let r be c(7). What is the highest common factor of r and m?", "a": "46" }, { "q": "Let p be (32/24)/(3/(-12))*-6. Suppose -12 = -3*o + 2*d + p, 2*o - d = 28. Let h = 0 - -6. Calculate the highest common divisor of h and o.", "a": "6" }, { "q": "Let h be (1/(-2))/(8/16). Let c be (-333)/(-15) + h/5. Let l be 75/(-15) - (-7 + 0). What is the highest common divisor of l and c?", "a": "2" }, { "q": "Let k = 580 + -552. Let n = -28 - -6. Let h = n + k. Calculate the highest common divisor of h and 15.", "a": "3" }, { "q": "Let n = 4 - 7. Let o(u) = 9*u**2 + 9*u + 27. Let c be o(n). Calculate the greatest common divisor of c and 36.", "a": "9" }, { "q": "Let m be (-147)/(-35) - ((-18)/(-15) + -1). Let c = -25 + 31. What is the highest common factor of m and c?", "a": "2" }, { "q": "Let h = -174 + 930. What is the highest common factor of h and 1701?", "a": "189" }, { "q": "Let k(n) = -n**3 + 11*n**2 - 9*n - 5. Let f be k(9). Suppose 0 = 5*j + f + 104. Let o = -21 - j. Calculate the greatest common factor of o and 75.", "a": "15" }, { "q": "Suppose 2*j = -4*j + 18. Suppose -d - 2*a = -0*d - 11, 2*d = j*a + 15. Suppose 4*u = 2*k - 5*k + 6, 3*u = -k + 7. What is the greatest common factor of u and d?", "a": "3" }, { "q": "Let r be (-6 + 9/15)*(1 - (-80)/(-5)). Let l(s) = -s**2 - 5*s + 5. Let y be l(-4). What is the greatest common factor of r and y?", "a": "9" }, { "q": "Suppose 3*x - 7*x = -5*a - 0*x + 1335, 5*x = 0. Calculate the highest common factor of a and 623.", "a": "89" }, { "q": "Let v(c) = -c**3 - 7*c**2 + 6*c - 2. Let f be v(-8). Let k be (954/(-27))/(2/(-3)). Suppose -73 - k = -9*i. What is the highest common divisor of f and i?", "a": "14" }, { "q": "Let m = -181 + 183. Suppose 2*p + 3*h - 114 = -9, 0 = -m*h - 6. Calculate the greatest common factor of p and 3.", "a": "3" }, { "q": "Let h = -3268 - -5176. Suppose 3672 + h = 20*r. Calculate the highest common divisor of 31 and r.", "a": "31" }, { "q": "Let d(f) = f**3 + 38*f**2 - 84*f - 55. Let n be d(-40). Suppose 0 = -c + 7 + n. Suppose 3*p = 26 + 22. What is the highest common divisor of p and c?", "a": "16" }, { "q": "Let s be (0 - 57)*32/(-6). Suppose 33*o = -16*o + 344 + 1518. Calculate the greatest common divisor of s and o.", "a": "38" }, { "q": "Let b = 11 - -1. Suppose 6 = q - 10*y + 5*y, 0 = -2*q - 4*y + b. What is the highest common divisor of 2 and q?", "a": "2" }, { "q": "Suppose -4*f = 254*b - 251*b - 1481, -4*f + 4*b + 1516 = 0. Suppose -7*h + 2*h = -170. What is the highest common divisor of h and f?", "a": "34" }, { "q": "Let y be (-6308)/(-418) + (-2)/22. Calculate the highest common factor of y and 249.", "a": "3" }, { "q": "Let z(v) = -v**2 - v + 10. Suppose 0 = 9*i - 10*i - 3. Let n be z(i). Let x = 4 - -12. What is the highest common factor of x and n?", "a": "4" }, { "q": "Let t be (364/(-16))/((-3)/(5 + 7)). Calculate the highest common factor of t and 52.", "a": "13" }, { "q": "Let i(v) = v**2 - v + 20. Let r be i(0). Let j = r - 2. Let w(h) = -2*h**2 + 68*h - 48. Let p be w(33). Calculate the highest common divisor of p and j.", "a": "18" }, { "q": "Let k = 14 + 17. Suppose 2*o - k - 22 = -s, 120 = 2*s - 3*o. What is the greatest common divisor of s and 76?", "a": "19" }, { "q": "Let a be 10*2*(-27)/(-12). Let h(g) = -5*g**2 + 12*g - 13. Let v be h(1). Let f be ((-8)/12*v)/(8/60). What is the greatest common divisor of a and f?", "a": "15" }, { "q": "Suppose 90 = 4*g + g. Suppose 68*p - 1320 = -504. What is the highest common divisor of g and p?", "a": "6" }, { "q": "Suppose -4*j = 4*w - 8, 4*j - 36 = 6*w - 3*w. Let z = -3 + j. Suppose z*i = 12 + 33. What is the greatest common factor of 45 and i?", "a": "15" }, { "q": "Let p(c) = -c**3 + 2*c**2 - 3*c - 1. Let u be p(4). Let a = u - -45. Suppose a = -11*h + 6*h + 90. What is the highest common divisor of h and 144?", "a": "18" }, { "q": "Suppose -15 = -7*d + 4*d. Suppose -o + 1 = 2*o + d*h, -4*o = 4*h - 4. Let m = 300 + -282. Calculate the highest common divisor of m and o.", "a": "2" }, { "q": "Let g = 2 - 0. Let q(j) = j**2 - 38*j + 375. Let c be q(17). Suppose t + 3*r - c = 1, t = -g*r + 14. Calculate the highest common divisor of t and 8.", "a": "4" }, { "q": "Let g(o) = -o + 11. Let i be g(-6). Let l(r) = -12*r + 4*r**2 - 22 - 3*r**2 + i. Let f be l(13). Calculate the greatest common divisor of 40 and f.", "a": "8" }, { "q": "Suppose 0 = -3*f + 4*c + 1337, 0*f + f - 453 = 5*c. Suppose -2*q + f = -241. Calculate the greatest common factor of 38 and q.", "a": "38" }, { "q": "Suppose -o - 13*u + 12*u = 86, 268 = -3*o - 5*u. Let i be ((-8)/6 + 0)*o. Calculate the greatest common divisor of 24 and i.", "a": "12" }, { "q": "Let p(x) = -x**3 + 7*x**2 + 3*x - 35. Let i be p(6). Calculate the greatest common factor of 2071 and i.", "a": "19" }, { "q": "Let p be (14 - (8 + 2))*420/16. What is the highest common factor of p and 115?", "a": "5" }, { "q": "Let v = 4325 - 1916. Calculate the highest common factor of 11 and v.", "a": "11" }, { "q": "Let k be (45 + 7)/(8/394). What is the highest common factor of 13 and k?", "a": "13" }, { "q": "Suppose 9*u + 20*u = 12*u + 19669. Calculate the greatest common divisor of u and 13.", "a": "13" }, { "q": "Suppose 3*r - w + 9 = -4*w, r = -4*w - 18. Suppose 10*d - 14*d + 5*t = -379, -2*t = r*d - 176. What is the greatest common divisor of d and 13?", "a": "13" }, { "q": "Let a = 205 - 143. Let v(p) = 5*p + 16. Let q be v(5). Let m = a - q. Calculate the greatest common divisor of 105 and m.", "a": "21" }, { "q": "Suppose 0 = 5*u - 9 + 24, -5*u = -4*s + 31. Suppose -14*k = -s*k - 60. What is the highest common divisor of 48 and k?", "a": "6" }, { "q": "Suppose -17*s = -8953 + 3394. What is the highest common divisor of 15 and s?", "a": "3" }, { "q": "Suppose 5*v + 14 = -3*u - 17, -25 = 5*u + 3*v. Let l be (4 + (-14)/4)*u. Let p be 4*-26*l/4. Calculate the highest common divisor of p and 65.", "a": "13" }, { "q": "Suppose -153*j - 3*w = -156*j + 138, 3*j + 2*w - 158 = 0. What is the highest common factor of j and 1425?", "a": "25" }, { "q": "Suppose -643 = -3*q - 4*t, 5*q + 655 = 8*q - 2*t. What is the greatest common divisor of 93 and q?", "a": "31" }, { "q": "Suppose h - 3 = 4*h, -4*h = -5*a + 104. Suppose 0 = -2*f + 3*f + 5*b - 65, 0 = -3*b - 9. What is the greatest common divisor of f and a?", "a": "20" }, { "q": "Let g be ((-1)/(-6)*0)/2. Let n(t) = 7*t + 22. Let x be n(g). Calculate the highest common factor of x and 2.", "a": "2" }, { "q": "Let v be 58/(-4) + (-24)/16. Let l = v + 25. Let z be 25 + 2 + -3 + (-9)/(-3). Calculate the highest common factor of z and l.", "a": "9" }, { "q": "Suppose -533*g + 7516 = -530*g - w, -10028 = -4*g + 3*w. Calculate the greatest common divisor of 16 and g.", "a": "8" }, { "q": "Let c(w) = -41*w - 117. Let x(r) = 28*r + 78. Let b(q) = 5*c(q) + 7*x(q). Let g be b(-9). What is the greatest common factor of g and 189?", "a": "21" }, { "q": "Let x(f) = -f**3 - 12*f**2 + 402*f + 12. Let r be x(-27). Calculate the highest common divisor of 6 and r.", "a": "3" }, { "q": "Let k(p) = 0*p**3 + 0*p - 14*p**3 - p - 1. Let b be k(-1). Let u be -7 + (-5 - -57) - (-6)/(-3 + 1). What is the highest common divisor of u and b?", "a": "14" }, { "q": "Let m be ((-256)/80)/((-12)/450). Calculate the highest common divisor of m and 264.", "a": "24" }, { "q": "Suppose 419 = 4*x - 5*q, 2*x - 210 = 27*q - 25*q. What is the greatest common factor of x and 2544?", "a": "106" }, { "q": "Let z(l) = 2*l**3 - 4*l**2 + 9*l - 10. Let w be z(2). Suppose w*j - 211 = -51. What is the greatest common divisor of j and 160?", "a": "20" }, { "q": "Let k(i) = i**2 - 13*i - 10. Let s be k(13). Let u be (-6)/7*(-2 + -26) - 2. Let w = s + u. Calculate the greatest common divisor of w and 30.", "a": "6" }, { "q": "Suppose 35*q + 3 = 36*q. Suppose -3030 = -5*p - 360. Suppose 0 = 5*a - 2*a - q*x - 423, 2*x - p = -4*a. What is the highest common divisor of 17 and a?", "a": "17" }, { "q": "Let p(j) = -2*j. Let i be p(-6). Let b be (-4)/(-14) - 220/(-14). Suppose 3*v - b = v. Calculate the highest common factor of v and i.", "a": "4" }, { "q": "Let y(c) = c**2 + 44*c - 329. Let j be y(-51). Calculate the highest common divisor of j and 1316.", "a": "28" }, { "q": "Suppose -6 = -2*z, z - 169 = -2*a + 2*z. Let b be a/12 - 4*3/72. Suppose b*v = 11*v - 32. What is the highest common divisor of 88 and v?", "a": "8" }, { "q": "Suppose -2*n = 5*g - 4, 6 = 3*n - g - 0. Suppose 65*c - 13508 = -3108. Suppose -c = -n*z - 2*z. What is the greatest common factor of 5 and z?", "a": "5" }, { "q": "Suppose -25*b - 155928 = -44*b - 70*b. What is the greatest common divisor of b and 73?", "a": "73" }, { "q": "Suppose -t - 2*t + 6 = j, 4 = 3*j + 2*t. Suppose 12*b - 2*b - 40 = j. What is the highest common divisor of b and 18?", "a": "2" }, { "q": "Let t = 396 + -391. Let b(i) = i**3 - 13*i**2 + i + 2. Let p = 38 - 25. Let y be b(p). What is the highest common divisor of y and t?", "a": "5" }, { "q": "Let y = -31 + 31. Suppose 0*s + 4*s - 72 = y. Let o be 2/10 - (-2 + (-3545)/25). Calculate the greatest common factor of s and o.", "a": "18" }, { "q": "Let w(m) = 242*m + 317. Let t be w(3). Calculate the highest common factor of 28 and t.", "a": "7" }, { "q": "Let n = 17 + -18. Let g be (1/n + 4)/(6/8). Suppose 395 + 105 = g*q. What is the highest common divisor of 25 and q?", "a": "25" }, { "q": "Let x = 2115 + -2079. What is the highest common factor of x and 576?", "a": "36" }, { "q": "Suppose 26*l + 1285 = 3*b + 28*l, -3*b + 3*l + 1305 = 0. Suppose -b = -5*z - 151. Calculate the greatest common factor of 56 and z.", "a": "56" }, { "q": "Suppose -4*z = -2*t + 484, 5*t - 5*z + 341 = 1541. What is the highest common divisor of t and 126?", "a": "14" }, { "q": "Let u be (2/(-3))/((-3)/9). Suppose -u*c + 2 + 0 = 0. Let s be ((-6)/2 - 36)*c/(-1). Calculate the highest common divisor of 26 and s.", "a": "13" }, { "q": "Let k = -165 - -233. Suppose 8*x - k = 68. What is the highest common factor of x and 1?", "a": "1" }, { "q": "Suppose 0 = i + 9*i + 120. Let r(p) = 3*p + 79. Let m be r(i). Calculate the highest common divisor of m and 301.", "a": "43" }, { "q": "Let q = -489 - -1083. Calculate the greatest common divisor of 90 and q.", "a": "18" }, { "q": "Let p be (-10338)/(-39) - (-13 + 510/39). Calculate the greatest common divisor of p and 636.", "a": "53" }, { "q": "Let i = -23 - -37. Let j be (-4)/10 + 97/(4365/17658). Calculate the greatest common factor of i and j.", "a": "14" }, { "q": "Let v be (-42)/98 - (-31)/7. Let l be (22 - v - -6)*(-1)/(-2). Calculate the greatest common factor of l and 3.", "a": "3" }, { "q": "Let d be 21366/54 - (3 + 0)/(-9). Let s = -21 - -32. Calculate the highest common divisor of d and s.", "a": "11" }, { "q": "Suppose 2553 = -s + 2814. What is the highest common factor of s and 225?", "a": "9" }, { "q": "Let q = -666 - -2759. Calculate the highest common factor of 46 and q.", "a": "23" }, { "q": "Let m = 1918 - 190. What is the greatest common factor of 128 and m?", "a": "64" }, { "q": "Suppose 7*v = 49*v - 27*v - 3285. Calculate the highest common factor of 2993 and v.", "a": "73" }, { "q": "Suppose 61*q - 24627 = -111*q - 1407. Calculate the greatest common factor of 243 and q.", "a": "27" }, { "q": "Let a(h) = 22*h**2 + 43*h**2 + 0 + 2*h - 1 + 3. Suppose 5 = -l - s, 0*l + 3*s = -5*l - 17. Let j be a(l). What is the highest common divisor of j and 13?", "a": "13" }, { "q": "Let q be (39/65)/(3/5). What is the greatest common divisor of 380 and q?", "a": "1" }, { "q": "Suppose 365 + 667 = 4*q. Let v = 93 - q. Let g = v + 261. What is the greatest common divisor of 12 and g?", "a": "12" }, { "q": "Suppose 8*g + 1130 = 2284 - 1138. Suppose -4 = 3*a + 2. Let q = a - -8. What is the highest common factor of q and g?", "a": "2" }, { "q": "Let j = 572 - 364. Calculate the highest common divisor of 64 and j.", "a": "16" }, { "q": "Suppose 13165 = 21*w - 19506 - 69032. Calculate the highest common factor of w and 58.", "a": "29" }, { "q": "Let w = -93 + 95. Suppose 11*y - 101 = -w. Calculate the greatest common divisor of 225 and y.", "a": "9" }, { "q": "Suppose 0 = 34*t - 40*t + 486. Suppose -t - 63 = -24*v. Calculate the highest common divisor of 66 and v.", "a": "6" }, { "q": "Let r(z) = 7*z**2 + 33*z + 78. Let p be r(-3). What is the highest common divisor of p and 546?", "a": "42" }, { "q": "Let w(q) = -q**3 - 15*q**2 - 29*q - 365. Let k be w(-15). Suppose -2*z - 58 = -u, 0 = -4*u + z + 311 - 107. Calculate the greatest common factor of u and k.", "a": "10" }, { "q": "Suppose f = -2, 3*u = -u - 5*f + 70. Suppose u = 2*j - j. Let o be 50/15*24/j. What is the greatest common factor of 12 and o?", "a": "4" }, { "q": "Suppose -2*c - 36 = -4*a, -2*a - 12*c + 8*c + 8 = 0. Calculate the highest common factor of 4656 and a.", "a": "8" }, { "q": "Suppose 2*b - 1188 = -o, 4*b + 3*o - 999 - 1377 = 0. What is the highest common factor of 162 and b?", "a": "54" }, { "q": "Suppose 0 = -2*o + 8, -4*o - 4 + 36 = 4*b. Let w be 3/b + 135/(-36). Let x be (-1 - w - 1)*19. Calculate the highest common factor of 209 and x.", "a": "19" }, { "q": "Let c(q) = -q**3 + 4*q**2 + 94*q + 30. Let o be c(11). Calculate the greatest common divisor of 14 and o.", "a": "7" }, { "q": "Suppose 5*w = 2*z - 1530, -4*w + 2*z - 1770 = -548. Let o be w/(-26) - (-2)/13. Suppose 64*m - 216 = 58*m. What is the greatest common factor of o and m?", "a": "12" }, { "q": "Suppose r = -4*w + 62, -w - 4*r + 15 + 8 = 0. Let p(f) = 104*f + 315. Let n be p(-3). What is the highest common divisor of w and n?", "a": "3" }, { "q": "Suppose a + a + 15 = 5*c, c + 15 = 4*a. Suppose a*s + 32 = -13. Let y be 6/(-9) + (-2184)/s. Calculate the highest common divisor of y and 22.", "a": "22" }, { "q": "Let d(b) be the second derivative of 0 + 2/3*b**3 + 1/6*b**4 - 3*b**2 + 13*b. Let x be d(-4). Calculate the greatest common factor of 90 and x.", "a": "10" }, { "q": "Suppose -1071 - 224 = -189*c - 161. Let t be (-1 - -119)*(3 + -2). Let g be t/8 - (-1)/4. What is the greatest common factor of g and c?", "a": "3" }, { "q": "Let o = 6 - -6. Let r be -62 - -9*((-2)/3)/2. Let y = r + 89. What is the greatest common divisor of o and y?", "a": "12" }, { "q": "Let q be 2/4 + ((-15)/2)/(-5). Let z be 1/(-3)*(-24 + 12). Suppose q*i + 162 = z*n, 3*i + i = 12. What is the highest common factor of n and 28?", "a": "14" }, { "q": "Suppose 5*z - 940 = -3*q, -56*q = -52*q - z - 1261. Calculate the greatest common factor of q and 525.", "a": "105" }, { "q": "Suppose 24*g - 23*g = 0. Suppose g = u - 2*u + 39. Let f be (-2)/3 + (-1309)/(-33). Calculate the greatest common factor of f and u.", "a": "39" }, { "q": "Let v be (-9)/2*(12/42 - (-7304)/(-84)). Let a be (-32)/4*15/(-4). Calculate the highest common divisor of v and a.", "a": "30" }, { "q": "Let l = -134 - -192. Suppose 0 = 6*b - l - 62. Suppose b = 6*n - 2*n, 2*q - 23 = -3*n. Calculate the highest common divisor of q and 4.", "a": "4" }, { "q": "Let a(r) = -7*r**2 + 324*r + 37. Let v be a(46). What is the highest common divisor of 387 and v?", "a": "129" }, { "q": "Suppose a - 5*a = 0, 70 = p - a. Let n be (9 - 1)*7/(p/345). What is the greatest common divisor of 23 and n?", "a": "23" }, { "q": "Let l = 132 - 128. Let t(o) = 5*o**2 + 12*o + 27. Let q be t(-3). Calculate the highest common divisor of l and q.", "a": "4" }, { "q": "Let h = -4467 - -4683. Calculate the highest common divisor of 36 and h.", "a": "36" }, { "q": "Suppose 0 = 368*f + 92*f - 28520. Let i(z) = 150*z**2 + z + 1. Let x be i(-1). Let s = x - 57. What is the greatest common divisor of f and s?", "a": "31" }, { "q": "Suppose -12*f + 141 + 3 = 0. Suppose -5*s - s + 72 = 0. Calculate the highest common divisor of s and f.", "a": "12" }, { "q": "Suppose 0*x - 37 = x. Let p = x + 19. Let k be 3/p*-9*52. What is the greatest common factor of k and 195?", "a": "39" }, { "q": "Let p be 3 + -3 + (1 - 1). Let x be 23 + 0 + 2 + p. Let j(v) = 19*v**2 + 4. Let w be j(3). Calculate the greatest common factor of w and x.", "a": "25" }, { "q": "Let d(r) = -3*r**3 - 3*r**2 - r - 1. Let z be d(-2). Let w be (1 + z)*(-310)/(-35). Calculate the highest common divisor of 93 and w.", "a": "31" }, { "q": "Let q(n) = 12*n**2 - 4*n + n**3 - 2*n**3 - 18*n**2. Let a be q(-5). Let g be 1 + a/((-20)/576) + -1. Calculate the highest common divisor of g and 18.", "a": "18" }, { "q": "Let l be 63/27 - 1/3 - 23177/(-49). What is the highest common divisor of l and 760?", "a": "95" }, { "q": "Let i(p) = p**2 + 36*p + 30. Let u be i(-35). Let w be u - (10 - -1)*-1. Calculate the highest common factor of w and 66.", "a": "6" }, { "q": "Let r(k) = -2*k**2 - 15*k - 22. Let t be r(-5). Suppose -2*v = -v + 1. Let q be (0 + 2)/v - -8. What is the highest common factor of q and t?", "a": "3" }, { "q": "Let m = -3195 + 4871. Calculate the highest common factor of 4 and m.", "a": "4" }, { "q": "Let d = -905 - -919. Let a(j) be the second derivative of j**5/20 + 63*j**2 - 2*j. Let p be a(0). Calculate the greatest common factor of d and p.", "a": "14" }, { "q": "Let j be ((6/(-4))/3)/(1/(-36)). Let m(r) = -30*r - 27. Let v be m(-3). Calculate the greatest common divisor of v and j.", "a": "9" }, { "q": "Suppose 7*i = -i - 16. Let m be ((-360)/75)/(i/110). What is the greatest common factor of m and 24?", "a": "24" }, { "q": "Suppose 0 = -3*i - 2*f + 63, -2*i - i + 51 = -2*f. Suppose 5*o - 1 - i = 0. Suppose -18*w = -41*w + 13*w + 80. Calculate the greatest common factor of o and w.", "a": "4" }, { "q": "Suppose -2*s - 55 = -5*s + 104. Calculate the greatest common divisor of s and 5353.", "a": "53" }, { "q": "Let b(n) = -7*n**3 + 8*n**2 + 29*n + 86. Let r be b(-7). Calculate the highest common divisor of r and 4.", "a": "4" }, { "q": "Let j(s) = s**2 + 44*s + 137. Let f be j(-33). Let n = -204 - f. Calculate the highest common divisor of 187 and n.", "a": "11" }, { "q": "Suppose -4*p - 10*t + 9*t + 256 = 0, -331 = -5*p - 4*t. Calculate the greatest common divisor of 1008 and p.", "a": "63" }, { "q": "Suppose t - 3701 = -62*t + 2977. Calculate the greatest common factor of t and 848.", "a": "106" }, { "q": "Let x(g) = g**2 + 19*g + 17. Let d be x(-15). Let b = d + 40. Let m be 2117/87 + 1/b. Calculate the highest common divisor of m and 12.", "a": "12" }, { "q": "Let y(j) = -15*j - 15. Let i(r) = r**2 + 13*r + 23. Let s be i(-10). Let t be y(s). What is the greatest common factor of 10 and t?", "a": "10" }, { "q": "Let i(u) = u**3 + 66*u**2 - 69*u + 192. Let y be i(-67). What is the greatest common divisor of y and 2?", "a": "2" }, { "q": "Let l be ((-14)/4 + 4)*2. Let g be (4 - (1 - 1))/4. Let f be g - 1*(-3 + 0). What is the greatest common factor of f and l?", "a": "1" }, { "q": "Let o(l) = l**3 + 7*l**2 + 3*l + 10. Suppose -p = 4*p - 215. Let c = p + -48. Let r be o(c). Calculate the greatest common factor of r and 5.", "a": "5" }, { "q": "Let w = -33 + 79. Let c = w - 81. Let j = c - -43. Calculate the highest common divisor of j and 40.", "a": "8" }, { "q": "Let i be ((-45)/(-27))/((-10)/(-36)). Let g(x) = x - 3. Let u be g(18). What is the highest common factor of u and i?", "a": "3" }, { "q": "Suppose 15*j - 5*b = 14*j + 551, 4*j + 4*b - 2252 = 0. Calculate the greatest common divisor of 165 and j.", "a": "33" }, { "q": "Let g be ((-120)/70)/(1/(-14)*2). Let p = -16 + 64. Calculate the greatest common divisor of g and p.", "a": "12" }, { "q": "Let f = -9 - -101. Let g(z) = z - 1 - 5*z + 2*z - 5*z**2 + z**3. Let p be g(6). What is the highest common factor of f and p?", "a": "23" }, { "q": "Suppose 192*h - 1034 = -74. Let x be (-4)/10 + 54/10. What is the greatest common factor of h and x?", "a": "5" }, { "q": "Let u = 4388 + -4381. Calculate the highest common factor of 1211 and u.", "a": "7" }, { "q": "Suppose 78 = 15*o - 72. Let h(w) = -28*w + 8. Let q be h(-9). What is the highest common divisor of o and q?", "a": "10" }, { "q": "Suppose 2*i + 1255 = 5*w, 2*w - 446 - 56 = -2*i. Suppose -175 + w = 4*r. Calculate the greatest common factor of r and 323.", "a": "19" }, { "q": "Let q(f) = -f**3 + 13*f**2 - 9*f - 26. Let j be q(12). Suppose 116 = j*y - 44. Calculate the highest common factor of 80 and y.", "a": "16" }, { "q": "Let l(r) = -17*r**2 - 11*r**2 + 31*r**2. Let u be l(-6). Calculate the highest common divisor of 270 and u.", "a": "54" }, { "q": "Let v(g) = 5*g**2 - 37*g - 326. Let f be v(-10). Calculate the greatest common factor of f and 32.", "a": "32" }, { "q": "Suppose 3*o - 33 = n, 0 = -3*o - 3*n - 2*n + 51. Let l be -2*9/o*682/(-33). Let c = 64 - 33. What is the highest common factor of l and c?", "a": "31" }, { "q": "Let a = -20 + 36. Suppose 0 = -8*g + 12*g + 20. Let o(s) = s**3 + 4*s**2 - 8*s - 13. Let j be o(g). What is the highest common divisor of j and a?", "a": "2" }, { "q": "Suppose 0 = -5*n - 13 + 33. Let q = -124 - -127. Calculate the highest common divisor of q and n.", "a": "1" }, { "q": "Let w(n) be the first derivative of n**2 - 22*n + 40. Let o be w(21). Calculate the greatest common divisor of 30 and o.", "a": "10" }, { "q": "Let y be (-216)/84*(-245)/5. Let b be (-2 + 8)*(-1)/1. Let p be (-18)/b + 0 + 11. What is the highest common factor of y and p?", "a": "14" }, { "q": "Suppose g + 5*o - 6 = 18, -2*o + 8 = 0. Suppose -4*n = g*k - 1576, 724 = 2*n + 4*k - 68. What is the highest common factor of 56 and n?", "a": "56" }, { "q": "Let z(r) = -r**3 + 52*r**2 - 65*r - 82. Let y be z(50). What is the greatest common factor of y and 12?", "a": "12" }, { "q": "Suppose 0 = -w + 5*w - 28. Suppose -w*j - 1222 + 340 = 0. Let m be 278/7 + 9/(j/(-4)). What is the highest common factor of m and 10?", "a": "10" }, { "q": "Suppose 2*m + 30 = 7*m. Let p = 4875 + -4869. Calculate the highest common divisor of m and p.", "a": "6" }, { "q": "Let u = -7 - -1. Let a(f) = -f**3 - 5*f**2 - 8. Let b be a(u). Suppose 39*o - 6872 - 1864 = 0. What is the highest common factor of o and b?", "a": "28" }, { "q": "Let q be 4/3*21/2. Let i = q - 9. Suppose 2*z = -2*z + 16, i*z = -5*y + 100. Calculate the greatest common divisor of 40 and y.", "a": "8" }, { "q": "Let t(n) = 4*n**2 - 40*n + 176. Let p be t(7). What is the highest common divisor of 4876 and p?", "a": "92" }, { "q": "Suppose a + 88 = 3*a. Let g(b) = -3*b - 1 + 11*b + 7*b**2 - 4*b + b**3. Let m be g(-6). Calculate the highest common factor of a and m.", "a": "11" }, { "q": "Let q be ((-936)/(-216))/(1/93). Calculate the greatest common factor of q and 279.", "a": "31" }, { "q": "Let k = 1737 + -1645. Calculate the highest common factor of k and 253.", "a": "23" }, { "q": "Let y(f) = -8*f - 22. Let x(s) = 8*s + 23. Let z(c) = -7*x(c) - 6*y(c). Let o be z(-7). Calculate the greatest common divisor of 27 and o.", "a": "27" }, { "q": "Let f be (55/20)/((-2)/(-200)). Suppose -6*b + 1980 = 12*b. Calculate the greatest common factor of f and b.", "a": "55" }, { "q": "Let i(p) = -p**3 + 4*p**2 - 27*p - 84. Let t be i(-3). What is the highest common divisor of t and 204?", "a": "12" }, { "q": "Let k = 8940 + -2108. What is the highest common factor of k and 112?", "a": "112" }, { "q": "Let s be (-50)/(-3) + (-4)/6. Let n(a) = -a**3 + 11*a**2 - 6*a - 16. Suppose 6*b + 177 = 225. Let w be n(b). What is the highest common factor of w and s?", "a": "16" }, { "q": "Suppose 79*o = 27*o - 25*o + 423654. What is the greatest common divisor of 42 and o?", "a": "42" }, { "q": "Suppose 103 = -7*f + 117. Suppose 0*d - 18 = -d - 2*r, 0 = f*d - 2*r - 18. Calculate the highest common factor of 300 and d.", "a": "12" }, { "q": "Let d be 380 + 2/(-10) + (-1368)/(-190). Calculate the highest common factor of 153 and d.", "a": "9" }, { "q": "Suppose 3*p = -3*b - 12, -4*b - 4*p - 4 = -3*p. Suppose -2*t + 5*m + 18 = 7, b = 5*t + m - 95. What is the greatest common divisor of t and 288?", "a": "18" }, { "q": "Let z = 179 - 174. Let t(c) = 1 - c**2 - 30*c + 36*c + 2. Let w be t(z). Calculate the highest common factor of 8 and w.", "a": "8" }, { "q": "Let n = 88 - 113. Let m = 42 + -15. Let t = n + m. What is the greatest common divisor of 5 and t?", "a": "1" }, { "q": "Suppose -1443 = -3*p + 38*g - 37*g, -g = 3. What is the greatest common divisor of p and 15?", "a": "15" }, { "q": "Suppose -43*f - 15*f + 16*f = -147420. Calculate the greatest common factor of 45 and f.", "a": "45" }, { "q": "Let z = -11 + 13. Let x(t) = 0*t - 2*t + 3*t + 1 - z. Let b be x(7). What is the greatest common divisor of b and 15?", "a": "3" }, { "q": "Let p(d) = d**3 + 3*d**2 - 6*d. Let l be p(5). What is the greatest common factor of l and 1445?", "a": "85" }, { "q": "Let d be (-1 + (-74)/4)*(-560)/30. Suppose -5*j + 12*j - d = 0. Calculate the highest common factor of 364 and j.", "a": "52" }, { "q": "Let t(p) = -p**2 - 16*p. Let k be t(-11). Let d(s) = 55*s + 253. Let c be d(-4). Calculate the greatest common divisor of c and k.", "a": "11" }, { "q": "Let c(q) = 109*q + 2. Let o be c(2). Suppose 0 = 3*g + 9, 37*h - 4*g = 33*h + 172. Calculate the highest common divisor of h and o.", "a": "20" }, { "q": "Let n = 505 + -477. Calculate the highest common factor of 52 and n.", "a": "4" }, { "q": "Let b = 49 - 31. Let i(t) = -t**2 - t + t**3 + 3*t + 81 + b. Let d be i(0). What is the greatest common divisor of 11 and d?", "a": "11" }, { "q": "Let j be (1 + 5)*160/48. Suppose -3*i + 5*i = j. Calculate the highest common factor of 55 and i.", "a": "5" }, { "q": "Suppose 0 = 2*i - 4*a - 84, 2*i + 15*a - 49 = 12*a. Calculate the highest common divisor of 44 and i.", "a": "4" }, { "q": "Suppose 3*z + 6 = 0, 3*f - z - 14 = 3. Let x(i) = i**3 - 5*i**2 - i - 3. Let o be x(f). Let r be -2*(-2)/o*-126. What is the highest common factor of 7 and r?", "a": "7" }, { "q": "Let p = 714 + -527. Calculate the highest common divisor of 799 and p.", "a": "17" }, { "q": "Suppose 4*b = -8, -2*z - 2*b - 15 = 13. Let l = -7 - z. Suppose -3*o + l*o = -5*p + 300, -p = -2*o - 60. What is the highest common divisor of p and 20?", "a": "20" }, { "q": "Suppose 3*h = -3*d + 1580 + 1426, 5 = 5*h. What is the highest common divisor of d and 77?", "a": "77" }, { "q": "Suppose 9*d = 14*d - 4550. Suppose -6*j = -2*j + 5*u - d, -1133 = -5*j - 4*u. What is the greatest common divisor of j and 15?", "a": "15" }, { "q": "Suppose 5*s + 2750 = 23*s + 4*s. Calculate the greatest common factor of 5 and s.", "a": "5" }, { "q": "Let q = -75 + 121. Let c(g) = 42*g - 292. Let m be c(7). What is the highest common divisor of q and m?", "a": "2" }, { "q": "Let p(n) = -n**3 + 5*n**2 - 6*n + 3. Let y be p(3). Suppose -336 = -3*d - y*a, -2*d - 72 = -2*a - 316. What is the greatest common divisor of d and 9?", "a": "9" }, { "q": "Suppose 1573 = -49*f + 43223. Calculate the greatest common divisor of 1020 and f.", "a": "170" }, { "q": "Let d = -104 + 194. Suppose -5*r + 429 = 204. What is the greatest common divisor of d and r?", "a": "45" }, { "q": "Let u be (-27)/((-4)/(-8)*6/(-12)). Suppose -5*f + 2*m = -168, 4*f + 6*m - m = u. What is the greatest common factor of f and 40?", "a": "8" }, { "q": "Suppose -2776*n + 2770*n + 90 + 108 = 0. What is the highest common divisor of n and 4884?", "a": "33" }, { "q": "Suppose -2523 - 2804 = -55*t - 1147. Calculate the greatest common divisor of 6460 and t.", "a": "76" }, { "q": "Let h(z) = -12 - z**3 + 3*z**2 + 64*z - 9*z**2 - 7*z**2 - 81*z. Let m be h(-12). Let o = 29 + -17. Calculate the greatest common divisor of o and m.", "a": "12" }, { "q": "Let t(u) = 6*u**2 + 3*u + 7*u + 7 - 22. Let o be t(5). Let b be ((-11)/(-35) - (-6)/21)*o. What is the highest common factor of 37 and b?", "a": "37" }, { "q": "Suppose -3*m + a = -2260, -898 - 2114 = -4*m + a. Calculate the highest common factor of 32 and m.", "a": "16" }, { "q": "Suppose 3 = p + 6. Let q(s) = -9*s + 1. Let w be q(p). Let y(d) = -d**3 + 32*d**2 + 38*d - 123. Let j be y(33). What is the greatest common divisor of w and j?", "a": "14" }, { "q": "Suppose 0*b + 4*b - 13 = 5*w, -2*b - 21 = 3*w. Let k be 13/(2 - w/(-5)). Calculate the greatest common factor of 39 and k.", "a": "13" }, { "q": "Let q(h) = h**3 + 25*h**2 + 101*h + 81. Let r be q(-18). Calculate the highest common factor of 236 and r.", "a": "59" }, { "q": "Let t = -10 + 24. Let i(p) = p**3 - 7*p**2 + 8*p - 9. Let n be i(6). Let y be (16/n)/(2/21). Calculate the highest common divisor of y and t.", "a": "14" }, { "q": "Let z(c) = 3*c**2 + 162*c - 1094. Let v be z(7). Let y(o) = -o**3 + 9*o**2 - 7*o + 3. Let p be y(8). Calculate the greatest common factor of p and v.", "a": "11" }, { "q": "Suppose -11*s + 4 = -9*s. Let r be ((-60)/(-25))/(s/25). Calculate the highest common divisor of r and 6.", "a": "6" }, { "q": "Suppose -40*m + 23*m + 183 = -429. What is the highest common divisor of m and 7884?", "a": "36" }, { "q": "Suppose 3647 = 16*i + i + 1148. What is the greatest common factor of i and 63?", "a": "21" }, { "q": "Suppose -6 = -3*g - x, 3*g - x - 8 = -2. Suppose -g - 4 = 3*u. Let z be u + -1 - (-221 - (4 + -2)). Calculate the greatest common divisor of 88 and z.", "a": "44" }, { "q": "Suppose -8*i + 4*i + 48 = 0. Suppose -y - i = -14. Suppose y*k = -2*f + 4*f + 34, -5*k + 69 = 3*f. What is the greatest common factor of 135 and k?", "a": "15" }, { "q": "Suppose -47*z - 5508 = -101*z. Let y(c) = -c - 2. Let g be y(-8). Calculate the highest common factor of g and z.", "a": "6" }, { "q": "Let q(u) = -u - 2. Let j be q(-10). Suppose -j = -s - 78. Let x = 103 + s. Calculate the greatest common factor of 11 and x.", "a": "11" }, { "q": "Let n = -4848 - -4981. Calculate the greatest common divisor of 323 and n.", "a": "19" }, { "q": "Let v(a) = -56*a - 743. Let n be v(-22). What is the highest common factor of 6 and n?", "a": "3" }, { "q": "Let z(g) = 90*g + 5. Suppose 0 = -6*q - 8 + 26. Let t be z(q). What is the highest common factor of 25 and t?", "a": "25" }, { "q": "Let u be 14/(-252)*0 + (576 - 0/(-2)). What is the highest common factor of u and 320?", "a": "64" }, { "q": "Let a be (-39)/(-1)*(20*4/16 + -2). Calculate the greatest common divisor of a and 13.", "a": "13" }, { "q": "Let s be 1 + -1*(0 - 34). Let g(y) = 2*y - 19. Suppose -6*q + q = -5*z + 40, -4*z = q - 52. Let d be g(z). What is the greatest common factor of s and d?", "a": "5" }, { "q": "Let m(q) = q**3 - 4*q**2 + 29. Let f be m(7). Let h(l) = -3*l**2 - 38*l + 24. Let a be h(-13). Calculate the highest common divisor of a and f.", "a": "11" }, { "q": "Let k(a) = -184*a - 1208. Let m be k(-8). Calculate the highest common factor of m and 168.", "a": "24" }, { "q": "Suppose 3*t = -15, -2*m + 9*t - 4*t + 355 = 0. Calculate the highest common divisor of 440 and m.", "a": "55" }, { "q": "Suppose 0 = 23*d - 183136 + 13603. Calculate the highest common divisor of 39 and d.", "a": "39" }, { "q": "Suppose -7*b + 1228 = -1908. What is the greatest common divisor of 28 and b?", "a": "28" }, { "q": "Let f(r) = -315*r - 99. Let k be f(-3). What is the highest common divisor of k and 63?", "a": "9" }, { "q": "Let m(p) = -p + 2. Let a be 12/36 - (-2)/(-6). Let b be m(a). Suppose -g = -o - 25, b*g - 5*o - 43 = -10*o. What is the highest common divisor of 3 and g?", "a": "3" }, { "q": "Let m = 3471 - 3469. Calculate the highest common factor of 17 and m.", "a": "1" }, { "q": "Let p = 131 + -42. Suppose -y = 2*k - 4*y - 41, p = 5*k - 3*y. What is the highest common factor of k and 48?", "a": "16" }, { "q": "Let f = -196 + 196. Let a be 20*(4/(-5))/(-2 + f). What is the greatest common divisor of a and 36?", "a": "4" }, { "q": "Let c(x) = 3*x - 7. Let h be c(6). Let a be ((-4)/(-46) - (-1552)/(-920))/(2/(-165)). Calculate the highest common factor of a and h.", "a": "11" }, { "q": "Let u be ((-10)/(-5))/(-1) - -26. Let f be (-28)/((-4)/u + 0). Suppose 4*z - f = 2*z. What is the greatest common divisor of z and 12?", "a": "12" }, { "q": "Let d(c) = -3*c - 26. Let g be d(-8). Let s be g/13 + (-2198)/(-91). Suppose -14*l = -10*l - 480. Calculate the highest common divisor of s and l.", "a": "24" }, { "q": "Suppose -f + 2*c = -2*f + 403, -3*c = 4*f - 1637. What is the highest common factor of f and 42?", "a": "7" }, { "q": "Let h be (32 - 19)*147/91. Let i = 2 + 5. Suppose -3*t + 2*t = -i. Calculate the highest common divisor of t and h.", "a": "7" }, { "q": "Let c(d) = -4*d - 35. Let m be c(-8). Let a be 25 + (9/m - (-4 + 2)). What is the highest common factor of 60 and a?", "a": "12" }, { "q": "Suppose 0 = -1298*h + 1308*h - 160. What is the greatest common factor of h and 4?", "a": "4" }, { "q": "Suppose 0 = -9*o - 21 + 46 + 38. Calculate the greatest common factor of 133 and o.", "a": "7" }, { "q": "Let c be 53 - (-19)/(209/(-132)). Calculate the highest common factor of c and 4469.", "a": "41" }, { "q": "Suppose -c + 3*i + 13 + 15 = 0, 80 = 4*c + 4*i. Suppose 19*r - c*r + 6 = 0. Suppose 5*t - r*u = 16, 2*u = 3 + 1. What is the highest common divisor of t and 2?", "a": "2" }, { "q": "Suppose -108*j = -42*j - 10296. What is the greatest common factor of 1326 and j?", "a": "78" }, { "q": "Suppose 4*t - 3*f - 80 = f, -3*t = f - 44. Suppose -x - 855 = -t*x. Calculate the greatest common divisor of x and 38.", "a": "19" }, { "q": "Suppose 13*n + t - 1037 = 12*n, -5*n + 5185 = 2*t. What is the greatest common divisor of n and 183?", "a": "61" }, { "q": "Let p be 6 + 3 + (-3 - 0). Suppose p*a - 56 = -2*a. Calculate the highest common divisor of a and 2.", "a": "1" }, { "q": "Let b(r) = r**3 - r**2 + r + 2. Let c be b(0). Let o be (-5)/(10 - 0) + 103/2. Suppose p = -49 + o. What is the greatest common divisor of p and c?", "a": "2" }, { "q": "Let o(j) = -48*j**2 + 2*j**3 + 35*j**2 + 0*j + 7 - 7*j. Let k be o(7). Suppose -k*b + 240 = -2*b. What is the greatest common divisor of 32 and b?", "a": "16" }, { "q": "Let q(p) = 19*p + 19. Let m be q(9). Let i be (-1 + (-2)/4)/((-114)/5776). Calculate the highest common divisor of m and i.", "a": "38" }, { "q": "Suppose 2*q - d + 31 = -2*d, d = q + 14. Let y be 0 + q/5 - -4. Suppose -5*m + 5*u + 5 = 0, -6 = -4*u + u. What is the highest common divisor of y and m?", "a": "1" }, { "q": "Let b(d) = 10*d**2 + 9*d - 10. Suppose 0 = 2*q + 11 - 3. Let n be b(q). What is the highest common divisor of n and 38?", "a": "38" }, { "q": "Let b be 0/(-2) - (-1)/1. Let z be 2 + b/3*39. Suppose z*r - 600 = 11*r. Calculate the greatest common divisor of r and 30.", "a": "30" }, { "q": "Let x = -17 + 29. Suppose -5*y + 42 = u, 145 = 4*u - 0*u - 3*y. Suppose 0 = 3*k - t - 93, -4*t = 3*k + u - 115. Calculate the greatest common factor of k and x.", "a": "6" }, { "q": "Suppose 4*g = g. Suppose 2*k + 3*k - 290 = g. Let v(i) = i**3 + 17*i**2 - 236*i - 23. Let q be v(-26). What is the greatest common divisor of k and q?", "a": "29" }, { "q": "Suppose 84 = -y + 24. Let d be (-12)/90 + (-3968)/y. Let f(k) = 95*k + 4. Let n be f(1). Calculate the highest common divisor of d and n.", "a": "33" }, { "q": "Let o(l) = -121*l - 307. Let r be o(-3). Calculate the greatest common divisor of 378 and r.", "a": "14" }, { "q": "Let p = -108 - -114. Let k be -14*1/5*(-165)/p. Calculate the greatest common factor of 14 and k.", "a": "7" }, { "q": "Let p be (-1 + -1)/(-2) - -49. Let f = -2513 + 2552. Let y = p - f. What is the greatest common factor of y and 11?", "a": "11" }, { "q": "Let v be (14 + (-16)/8)/((-4)/(-688)*3). What is the greatest common divisor of v and 86?", "a": "86" }, { "q": "Let m be (10/4)/((-75)/(-60)). Suppose 4*l - 11 = 3*l + 4*b, 4*b + 34 = m*l. Calculate the greatest common divisor of l and 23.", "a": "23" }, { "q": "Let f = -3636 - -4248. What is the highest common divisor of f and 63?", "a": "9" }, { "q": "Suppose -4*g + 1565 = -a, 45*g - 4*a - 1164 = 42*g. Calculate the highest common divisor of g and 833.", "a": "49" }, { "q": "Suppose 31 = -5*u + a + 2, u + 4 = 2*a. Let v be 4 + -2 + u + 4. Suppose 4*p = -5*n + 61, 4*p - 11 = -v*p + 5*n. What is the highest common divisor of 45 and p?", "a": "9" }, { "q": "Suppose -635 - 491 - 122 = -16*b. What is the highest common divisor of 6162 and b?", "a": "78" }, { "q": "Let z be 33 - (1 - (-2 + 2)). Let d(h) = -h + 41. Let o(b) = -83. Let f(n) = 10*d(n) + 4*o(n). Let j be f(-21). What is the highest common divisor of z and j?", "a": "32" }, { "q": "Suppose -2*a = -3*j - 1 + 24, 4*a = -2*j - 6. Let b be (2/5)/(a/160*-2). Calculate the greatest common divisor of b and 72.", "a": "8" }, { "q": "Let d(b) be the second derivative of b**4/12 - 7*b**3/6 - 15*b**2 + 2*b + 52. Let x be d(15). What is the highest common factor of 54 and x?", "a": "18" }, { "q": "Suppose -4246 = -3*g - 10*g + 3346. What is the greatest common factor of g and 24?", "a": "8" }, { "q": "Suppose -197*g + 85*g + 29565 = -97*g. Calculate the greatest common divisor of g and 73.", "a": "73" }, { "q": "Suppose -4*a - 100 = -8*a - 6*a. Let g(w) = 6*w**2 - 5*w - 1. Let c be g(4). Calculate the greatest common divisor of c and a.", "a": "5" }, { "q": "Suppose 64*n = 71 + 3257. Calculate the greatest common factor of n and 1404.", "a": "52" }, { "q": "Let h(x) = 5*x - 106. Let n be h(20). Let t(i) = -i + 1. Let b be t(n). What is the highest common divisor of b and 35?", "a": "7" }, { "q": "Let g(u) = u**3 - 8*u**2 + 6*u + 10. Let x be g(7). Suppose 6*w - 2*w = 4, 3*n = -x*w + 543. What is the highest common factor of n and 20?", "a": "20" }, { "q": "Let n(i) = -i**3 - 13*i**2 + 15*i + 22. Let t = 71 - 85. Let v be n(t). What is the highest common divisor of 88 and v?", "a": "8" }, { "q": "Let d = -59 + 66. Suppose -3*y + 4*a = -12, -5*a + 2 = y - d*a. Calculate the highest common factor of 6 and y.", "a": "2" }, { "q": "Let g be -2 - (-2)/(3 + 39/(-15)). Let h = 142 - 83. Suppose -5*z + h = -0*z + g*x, 24 = 2*z + x. Calculate the greatest common divisor of 52 and z.", "a": "13" }, { "q": "Let y = 1431 - 1322. What is the highest common divisor of 6649 and y?", "a": "109" }, { "q": "Let b be ((-2)/6)/((-1)/6). Suppose -p = -b*p + 88. Let x = 15149 - 15017. What is the highest common factor of x and p?", "a": "44" }, { "q": "Let t(f) = 40*f**3 + 5*f**2. Let l be t(4). Calculate the greatest common factor of l and 16.", "a": "16" }, { "q": "Suppose 3*c = -r + c + 12, -4*c - 20 = 0. Suppose -99 = -p + 19*u - 26*u, 4*u = -5*p + 495. What is the greatest common factor of p and r?", "a": "11" }, { "q": "Suppose 11*b - 8*b = -96. Let s be 12/32 + (-276)/b. Calculate the highest common divisor of s and 1.", "a": "1" }, { "q": "Suppose -10*b + 20 = -14*b. Let w be (104/b)/(26/(-65)). Calculate the highest common factor of 26 and w.", "a": "26" }, { "q": "Let j be (-5)/(-25) - 58/(-10). Suppose 0 = 1331*n - 1330*n - 10. Calculate the highest common divisor of j and n.", "a": "2" }, { "q": "Let u = -1877 + 5854. What is the greatest common factor of 41 and u?", "a": "41" }, { "q": "Let t(h) = h**2 - 19*h + 98. Let w be t(7). Calculate the greatest common factor of 26 and w.", "a": "2" }, { "q": "Let v be (3/(-4))/(159/(-32648)). What is the greatest common factor of 22 and v?", "a": "22" }, { "q": "Suppose 4*j + 2*y - 498 = 0, 3*j - 6*j + 4*y + 379 = 0. What is the highest common factor of j and 175?", "a": "25" }, { "q": "Suppose -5*a = -4*o - 14137, -36*a = -41*a + 5*o + 14135. What is the highest common factor of 123 and a?", "a": "123" }, { "q": "Suppose -5*a + 4880 = 3*r, 224 - 1202 = -a - r. Calculate the highest common factor of 7 and a.", "a": "7" }, { "q": "Let y = 11 + -1. Let h be y/((-40)/3)*48/(-2). Calculate the highest common factor of h and 2.", "a": "2" }, { "q": "Let u(c) = 5*c + 72. Let m be u(-9). Suppose -4*y = 3 - m. Calculate the highest common factor of y and 102.", "a": "6" }, { "q": "Suppose -5*y + 1094 = 294. Let s = 2 - 0. Suppose 0 = -2*j + 5*m + 84, 0*j = -s*j - 3*m + 52. Calculate the greatest common divisor of j and y.", "a": "32" }, { "q": "Let r = -1 + 23. Let i be (6/(-3) - (-15)/9)*3. Let a(y) = -32*y**3 + y**2 - y - 1. Let u be a(i). What is the highest common factor of r and u?", "a": "11" }, { "q": "Let a(k) = 985*k + 2000. Let r be a(-2). Suppose 2*b = b + 37. Let h = b + 8. What is the highest common factor of h and r?", "a": "15" }, { "q": "Suppose 3*r - 24 = -k, -3*k + 0*r = -2*r - 17. Suppose 0 = 7*b - 62 + 6. Suppose 0 = b*a - 9*a + 18. What is the greatest common factor of a and k?", "a": "9" }, { "q": "Suppose 2*b + 19*b = 24255. Suppose 53*w - 58*w + b = 0. What is the highest common divisor of w and 33?", "a": "33" }, { "q": "Suppose -2*z + 10*q - 12*q = -18, 3*z + 4*q = 30. Calculate the greatest common factor of z and 1218.", "a": "6" }, { "q": "Let x be (-2)/(-14)*2 - (-5916)/21. Suppose -3*k - 12 = -x. Calculate the highest common divisor of k and 54.", "a": "18" }, { "q": "Suppose -2*y - 21 + 90 = s, 0 = -s + 5. Let g be 2660/57*(-12)/(-14). What is the highest common divisor of g and y?", "a": "8" }, { "q": "Let s(p) = -p**3 - 4*p**2 - p + 3. Let t be s(-2). Let d = t + 3. Suppose 4*q + d - 36 = 0. What is the highest common divisor of 81 and q?", "a": "9" }, { "q": "Suppose 19807 = 3*u + 3*v + 556, 5*u - 32076 = 4*v. What is the greatest common divisor of u and 16?", "a": "16" }, { "q": "Suppose 68 = -2*u - 2*i + 4*i, 3*u = 2*i - 103. Let n be 8/(-28) + (-1165)/u. Let k = n + 3. What is the highest common divisor of k and 288?", "a": "36" }, { "q": "Suppose 0 = -2*b - b - 5*b. Suppose b*v = 5*v - 35. Calculate the greatest common factor of v and 14.", "a": "7" }, { "q": "Suppose 5*j = -2*x + x + 43, 1 = -j + 3*x. Let u be 15/(-10)*(j/(-3) + 0). What is the highest common divisor of u and 8?", "a": "4" }, { "q": "Let m(x) = 6*x + 26. Let v be m(-4). Suppose 2*p = v, 1 = -5*j - 3*p + 84. What is the greatest common factor of 40 and j?", "a": "8" }, { "q": "Suppose -4*g = 46*g + 2*g - 390520. What is the greatest common divisor of g and 10?", "a": "10" }, { "q": "Let y be (-14)/(-84)*-130*-30. Calculate the highest common divisor of y and 104.", "a": "26" }, { "q": "Suppose -2*t + 680 = -220. Calculate the greatest common divisor of 650 and t.", "a": "50" }, { "q": "Let c(o) be the third derivative of 11*o**4/24 + 133*o**3/2 + o**2 - 4. Let g be c(0). What is the highest common factor of g and 57?", "a": "57" }, { "q": "Suppose 8 = 5*m - 2. Suppose -78 + 33 = -9*s. Calculate the greatest common divisor of m and s.", "a": "1" }, { "q": "Let j = -88 - -709. Suppose 5*k - 138 = 3*k. Calculate the greatest common factor of j and k.", "a": "69" }, { "q": "Let j(d) = 93*d + 82*d - 14 - 17 + 3. Let i be j(2). Calculate the greatest common divisor of i and 23.", "a": "23" }, { "q": "Let v = -877 + 961. Calculate the highest common factor of 532 and v.", "a": "28" }, { "q": "Suppose 11*t = 7*t - 40. Let c = t - -1. Let a = c + 12. What is the highest common divisor of 1 and a?", "a": "1" }, { "q": "Suppose -4*s = -5*n + 11495, 5*n = 5*s - 4080 + 15580. Calculate the greatest common factor of 90 and n.", "a": "45" }, { "q": "Let h(w) = -12*w**2 + 2*w - 2. Suppose -2*n - 5 = -7*n. Let u be h(n). Let k be (-21)/(-3) + u/3. What is the greatest common factor of k and 6?", "a": "3" }, { "q": "Let f(m) = -28*m - 7. Let n be f(-7). Suppose 6*x - 159*x + 4131 = 0. What is the highest common factor of x and n?", "a": "27" }, { "q": "Let t = -160 - -184. Suppose -20*i = -t*i + 64. What is the highest common divisor of 16 and i?", "a": "16" }, { "q": "Suppose 10*z - 11*z - 8016 = -5*z. Calculate the greatest common divisor of z and 12.", "a": "12" }, { "q": "Let l(n) = 16*n - 126. Let o be l(6). Let x be (-176)/o + 40/300. Calculate the greatest common divisor of 2 and x.", "a": "2" }, { "q": "Let i = -4110 - -4217. What is the highest common factor of 1 and i?", "a": "1" }, { "q": "Suppose 0 = d - 5*r - 852, 3*d - 1846 - 710 = -r. Calculate the highest common divisor of 12 and d.", "a": "12" }, { "q": "Let a = 3824 - 3792. What is the highest common factor of 1096 and a?", "a": "8" }, { "q": "Let o = 2183 - 1943. Calculate the highest common factor of o and 1020.", "a": "60" }, { "q": "Suppose -4*s = -s. Let u(d) = -17*d - 36. Let c be u(0). Let v = s - c. What is the greatest common divisor of v and 90?", "a": "18" }, { "q": "Let r be 8 - (36/(-9) - 963). What is the greatest common divisor of 39 and r?", "a": "39" }, { "q": "Let q = -1986 - -3210. Calculate the greatest common divisor of 136 and q.", "a": "136" }, { "q": "Let u be 9/(-6)*(-404)/(-3). Suppose 2223 - 1494 = -9*y. Let c = y - u. Calculate the highest common divisor of c and 11.", "a": "11" }, { "q": "Suppose -63*s + 58*s = -2*a - 13, 2*s + a = 7. Calculate the greatest common factor of 933 and s.", "a": "3" }, { "q": "Suppose -5*f = -264 - 211. Suppose -o + 6*o - 285 = 0. What is the highest common factor of f and o?", "a": "19" }, { "q": "Suppose -5*y = -138 + 13. Let g = y - -20. What is the greatest common factor of 15 and g?", "a": "15" }, { "q": "Let u be (5*(-33)/15)/((4/(-2))/974). Calculate the highest common factor of 11 and u.", "a": "11" }, { "q": "Let t(k) = 111*k + 1541. Let l be t(-13). Calculate the highest common divisor of 28 and l.", "a": "14" }, { "q": "Let c = 4228 - 4102. Calculate the greatest common divisor of c and 1596.", "a": "42" }, { "q": "Suppose 23 = 9*q - 8*q - 4*w, -4*w = -3*q + 29. Suppose 23 = 2*s + o, -q*s + 13 = -3*o + 1. What is the highest common factor of 15 and s?", "a": "3" }, { "q": "Let u(p) be the third derivative of 5/3*p**3 + 1/30*p**5 - 3/8*p**4 + 0*p + 0 - 10*p**2. Let w be u(9). Calculate the greatest common divisor of w and 13.", "a": "13" }, { "q": "Suppose 4*o = 7*h - 2*h - 1099, -3*o - 211 = -h. Let n = -204 + h. Calculate the greatest common divisor of 19 and n.", "a": "19" }, { "q": "Suppose 2*r - 15 = -5*m, -5*r - 4 = 2*m - 52. Let c(n) = 5*n + 2. Let k be c(r). What is the highest common divisor of 78 and k?", "a": "26" }, { "q": "Suppose -s - 748 = -3*s. Suppose 2*l - 2*c - 12 = 0, -2*c - 27 = -3*l - 2*l. Suppose -l*i = -10*i + 170. What is the highest common factor of i and s?", "a": "34" }, { "q": "Suppose 285*p - 45 = 280*p. Calculate the highest common divisor of p and 3393.", "a": "9" }, { "q": "Let c = 240 - 87. Let s(f) = 30*f**2 - 16*f + 4. Let t be s(1). What is the highest common factor of t and c?", "a": "9" }, { "q": "Suppose 2*f = 2*v - 80, 0*f - f = 4. Suppose 378 = -5*x + 3*x. Let r = 243 + x. Calculate the highest common factor of r and v.", "a": "18" }, { "q": "Let a = -182 + 186. Let y(l) = l**3 - 6*l**2 + 12*l + 1. Let g be y(a). What is the greatest common factor of g and 153?", "a": "17" }, { "q": "Suppose 0*c + c - 16 = 0. Suppose -l = 4*o - 122 + 26, -5*l - 2*o = -552. What is the greatest common factor of c and l?", "a": "16" }, { "q": "Let g = -190 + 205. Suppose g*d - 5824 = d. Calculate the highest common divisor of d and 52.", "a": "52" }, { "q": "Suppose 0 = -87*h + 1692 - 300. Calculate the greatest common divisor of 7472 and h.", "a": "16" }, { "q": "Suppose 2*n = -3*b + 5*b, 0 = 3*n + 5*b - 8. Calculate the greatest common divisor of 1 and n.", "a": "1" }, { "q": "Suppose -16*l - 4 = -17*l. Let a be (l/8*-2)/(6/(-24)). Calculate the greatest common factor of 36 and a.", "a": "4" }, { "q": "Suppose -6*x + 1191 = -321. Suppose -3*t + 45 = -63. Calculate the highest common factor of t and x.", "a": "36" }, { "q": "Let k(p) = -p**3 - 25*p**2 + 21*p + 42. Let b be k(-26). What is the greatest common divisor of 32 and b?", "a": "4" }, { "q": "Let g = 45 + -35. Suppose 4*t = t + 819. Let l = t - 193. What is the greatest common factor of g and l?", "a": "10" }, { "q": "Suppose 0 = -w - 0*w. Let z be (-1 - w)*(-1 - 0). Let y be ((-29)/116)/((-3)/24*2). Calculate the highest common divisor of z and y.", "a": "1" }, { "q": "Let j(v) = -2*v**2 + 25*v + 25. Suppose -128 = -6*g - 62. Let k be j(g). Calculate the greatest common factor of 87 and k.", "a": "29" }, { "q": "Let f(h) = 3*h**2 + 50. Let z be f(0). Let n be (-10 - -65)*(10 - 0). What is the highest common factor of n and z?", "a": "50" }, { "q": "Let q(w) be the first derivative of -w**4/4 - 14*w**3/3 - 11*w**2/2 - w - 77. Let h be q(-14). What is the greatest common divisor of h and 18?", "a": "9" }, { "q": "Let p(r) = -10*r - 36. Let u be p(-4). Suppose 4*x - 14 = 2*a, 5*a - 5*x = -6 - u. What is the highest common factor of a and 69?", "a": "3" }, { "q": "Suppose -15*d = -13160 + 3560. Calculate the highest common factor of d and 240.", "a": "80" }, { "q": "Let t be (-66)/(24/(-368) + 0/(-3)). What is the highest common divisor of 184 and t?", "a": "92" }, { "q": "Let z = 50 + -48. Suppose z*w + 16 = 26. Suppose -w = 7*f - 19. What is the greatest common factor of 16 and f?", "a": "2" }, { "q": "Let c = -6 - -29. Suppose 3*v - 2*v + c = 0. Let a be (v + 2)/(-3) - 2. What is the greatest common divisor of a and 55?", "a": "5" }, { "q": "Let m be -2 + 8 - (1 - 1). Suppose 2365 - 425 + 814 = 51*a. What is the greatest common factor of m and a?", "a": "6" }, { "q": "Suppose 4*w = -2*r + 960, r = 5*w - 8*w + 720. Let c be 990/w - 1/8. Calculate the greatest common factor of c and 18.", "a": "2" }, { "q": "Suppose 2*g - 1205 = -5*x, -1755 = -21*g + 18*g + 3*x. What is the greatest common divisor of 30 and g?", "a": "10" }, { "q": "Let o(b) = -b**3 - 5*b**2 + 9*b + 6. Let g be o(-7). Let k(z) = 16*z - 5. Let i be k(8). What is the highest common divisor of g and i?", "a": "41" }, { "q": "Let g = 14 + -7. Let x(r) = 5*r - 13. Let y be x(4). Suppose k - 2*b - 21 = 0, 5*b - 63 = y*k - 10*k. What is the greatest common factor of k and g?", "a": "7" }, { "q": "Let r(n) = -2*n + 21. Let y be r(6). Suppose 3*v = y*v - 378. Suppose -c = c - 2, 31 = 4*o + 3*c. What is the highest common divisor of o and v?", "a": "7" }, { "q": "Let k(i) = 5*i**2 - 4*i + 3. Let f be k(2). Let l(y) = 2*y**2 - 29*y + 27. Let x be l(16). Calculate the greatest common factor of x and f.", "a": "15" }, { "q": "Suppose -214 - 2020 = -4*d - 2*z, d = 4*z + 581. Suppose 0 = 4*y + 337 + 1223. Let l = d + y. Calculate the greatest common divisor of 19 and l.", "a": "19" }, { "q": "Let z = 1386 - 1258. Calculate the highest common divisor of 848 and z.", "a": "16" }, { "q": "Suppose 0 = -2*y - a + 165, -3*y - 5*a + 13 = -245. Let s = y + -70. Calculate the highest common factor of s and 44.", "a": "11" }, { "q": "Let f = -1114 - -1144. Calculate the greatest common factor of f and 2355.", "a": "15" }, { "q": "Let b = -2496 + 2547. What is the highest common divisor of b and 1207?", "a": "17" }, { "q": "Let h = 69 - 66. Suppose 5*s + h*a - 93 = 4*s, -a = 1. What is the highest common factor of 12 and s?", "a": "12" }, { "q": "Suppose -52*x + 105*x - 5565 = 0. Calculate the highest common factor of 495 and x.", "a": "15" }, { "q": "Let d(l) = 16*l**2 + 10 - 2*l + 0 + l - 12. Let f be d(2). What is the highest common divisor of 48 and f?", "a": "12" }, { "q": "Let w = 221 + -181. Suppose -2*b - 1 + 17 = 0. Suppose -t + 0 = -b. Calculate the highest common divisor of t and w.", "a": "8" }, { "q": "Let d(j) = -j**3 + j**2 + j. Let t(i) = 4*i**3 - 5*i - 10. Let b(w) = 5*d(w) + t(w). Let q be b(4). Calculate the highest common divisor of 222 and q.", "a": "6" }, { "q": "Let g be (1845/(-3)*(-2)/6)/1. What is the greatest common factor of 164 and g?", "a": "41" }, { "q": "Let i(s) = s**3 + 8*s**2 - s - 36. Let u be i(-7). Calculate the highest common divisor of 230 and u.", "a": "10" }, { "q": "Let v = -29 - -95. Suppose 2*q = 3*q + 3. Let h(u) = 2*u**2 + 2*u - 6. Let r be h(q). Calculate the greatest common factor of v and r.", "a": "6" }, { "q": "Let i be (0 + 2)/((-14)/(-63)). Let g(x) = -2*x - 16. Let c be g(-5). Let n be (-405)/(-12)*(-16)/c. What is the greatest common factor of i and n?", "a": "9" }, { "q": "Suppose -6*z = -39 - 21. Suppose -z*d + 15*d - 320 = 0. What is the greatest common divisor of 24 and d?", "a": "8" }, { "q": "Suppose 3*z + 2 = 2*t, -7 = 5*z - 17. Let x = 22 + -5. Suppose 3*d = 0, 4*d + x + 15 = v. Calculate the highest common divisor of v and t.", "a": "4" }, { "q": "Suppose 30*x - 35*x = -80. Let k(r) = -r**2 + 25*r - 87. Let t be k(x). Calculate the highest common factor of 76 and t.", "a": "19" }, { "q": "Let o = 23 + -1. Let p be 20/110 - -71*(-14)/22. Let a be 3*25/p - 1198/(-6). What is the greatest common factor of a and o?", "a": "22" }, { "q": "Suppose -24*m + m + 3120 = 3*m. Calculate the highest common factor of m and 150.", "a": "30" }, { "q": "Let g = -5 + 6. Let l(j) = 8*j. Let k be l(g). Suppose -6*d = d - 56. What is the greatest common factor of k and d?", "a": "8" }, { "q": "Let u = 26 + -21. Suppose 101 = u*m + 6. What is the greatest common divisor of m and 209?", "a": "19" }, { "q": "Let f(k) = 10*k - 635. Let t(s) = -s + 53. Let v(a) = 2*f(a) + 25*t(a). Let c be v(9). Let d = 7 + -2. What is the greatest common factor of c and d?", "a": "5" }, { "q": "Suppose -8*w = 293 - 12101. What is the greatest common divisor of 820 and w?", "a": "164" }, { "q": "Suppose 8*u = 16*u + 80. Let a = u + 100. Let q be 1/(-3) - (-218)/6. What is the highest common factor of a and q?", "a": "18" }, { "q": "Suppose -3042 = 184*i - 187*i. What is the highest common factor of i and 117?", "a": "39" }, { "q": "Let z be ((-72)/(-432))/(454/(-228) + 2). Calculate the greatest common divisor of 3401 and z.", "a": "19" }, { "q": "Suppose 0 = 2*g - 5 - 1. Let h be 1 + (-1)/(g/6) + 46. Let a = -33 + h. Calculate the highest common factor of a and 3.", "a": "3" }, { "q": "Let o be (-128)/(-3) + 2/(-3). Suppose -z + 4*q = -45, 2*z - q - 57 = -4*q. Suppose 9 + z = 2*c. Calculate the greatest common factor of c and o.", "a": "21" }, { "q": "Let k = 2119 - 1831. Let b(x) = x**2 - 2*x + 8. Let l be b(6). What is the highest common factor of k and l?", "a": "32" }, { "q": "Suppose 5*b + 10 = -5*o, 2*o + 2*b = 3*b + 11. Suppose -q = 2, -4*a - o*q = q - 820. What is the highest common factor of 23 and a?", "a": "23" }, { "q": "Let d be (-392)/(-6) - 2/6. Suppose 0 = r + w, 15*r = 11*r - 3*w + 5. Let a be r - (-261)/(-54) - (-154)/12. Calculate the highest common divisor of a and d.", "a": "13" }, { "q": "Let r = 678 - 423. Let o be 17*(2 + 0) - 0. Calculate the highest common divisor of r and o.", "a": "17" }, { "q": "Let o be ((-17)/(-17))/(2/(-4)) - -321. Let k be 7 - (0 + -6)*(-4)/(-6). Calculate the highest common divisor of k and o.", "a": "11" }, { "q": "Let y = -291 + 120. Let z be -3 - 0 - y/(5 + -2). Calculate the highest common divisor of z and 27.", "a": "27" }, { "q": "Let t(r) = 2*r**3 + 6*r**2 + 300. Let w be t(0). What is the highest common divisor of w and 60?", "a": "60" }, { "q": "Suppose 1312*d + 15 = 1317*d. What is the highest common divisor of 2628 and d?", "a": "3" }, { "q": "Suppose 3*d = 9, 0*f + d = -4*f + 739. Suppose 4*q = -5*p + 20, -104*q = -p - 107*q - 7. What is the greatest common factor of p and f?", "a": "8" }, { "q": "Suppose 3*j - 57 - 18 = 0. Let h = j + -17. Let s be (-2)/(-17) - (-11070)/697. What is the highest common factor of s and h?", "a": "8" }, { "q": "Let k(h) = -2*h**3 - 2*h**2 - 2*h. Let x be k(-1). Let z be (-2)/((-6)/(-49))*(1 + x). Let s = z - -65. What is the greatest common divisor of 8 and s?", "a": "8" }, { "q": "Suppose 2*x - 6 - 14 = 0. Let z be (8/5)/(x/1300). Let a be -46*1/(-2) - -3. What is the greatest common divisor of z and a?", "a": "26" }, { "q": "Let l(u) = -3*u - 42. Let h be l(-16). Suppose 4*i - 5*c - h = 17, 3*i - 4*c = 16. What is the highest common divisor of i and 132?", "a": "12" }, { "q": "Let c = 1745 + -1661. What is the highest common factor of c and 6804?", "a": "84" }, { "q": "Suppose -26*w = 3*w - 83868. Suppose 8 + w = 20*o. Let h(j) = j**3 + 7*j**2 + 5*j + 4. Let q be h(-5). Calculate the highest common divisor of q and o.", "a": "29" }, { "q": "Suppose 0 = -5*g + 362 + 48. Suppose 0 = -78*s + g*s - 100. What is the greatest common divisor of s and 5?", "a": "5" }, { "q": "Let g be ((-3)/(-8))/((-1)/(-8)). Suppose 4*s = -4*b - 64, 2*s + 11 = 4*b + g. Let l be (-6)/s + 54/4. Calculate the highest common factor of l and 42.", "a": "14" }, { "q": "Let m(t) = 2*t + 8. Let n be m(2). Suppose 5*v + v = n. Suppose -2*x + 54 = -2*j - 16, -4*j = v*x - 58. Calculate the greatest common divisor of x and 11.", "a": "11" }, { "q": "Suppose 0*a = 4*a - 8. Suppose -a*m + 7*m = 20. Suppose 7*t - 20 = 5*t. What is the greatest common factor of t and m?", "a": "2" }, { "q": "Let q = -1 + 5. Suppose -2*i - a = -q*a - 5, 4*i + 4*a = -40. Let d = i - -32. What is the greatest common factor of 9 and d?", "a": "9" }, { "q": "Suppose 5*f - 311 = 4*h, 22*f - 5*h - 197 = 19*f. Let j = f - 13. Calculate the greatest common divisor of 92 and j.", "a": "46" }, { "q": "Let a = -165 - -174. Suppose z = -a*z + 150. Calculate the greatest common divisor of 240 and z.", "a": "15" }, { "q": "Let x = -66 + 44. Let v = x - -46. Calculate the greatest common divisor of v and 18.", "a": "6" }, { "q": "Suppose d - 104*o + 108*o - 151 = 0, 2*d - 4*o = 290. What is the highest common divisor of d and 987?", "a": "21" }, { "q": "Let k be (-50)/(-20) - (-2)/(-4). Let u(y) = -y + 4. Let h be (-8)/28 - (-10)/(-14). Let a be u(h). Calculate the highest common divisor of a and k.", "a": "1" }, { "q": "Let t = -4191 + 4319. What is the greatest common divisor of 14 and t?", "a": "2" }, { "q": "Let v be (-6)/5*(-20)/6 + -2. Suppose 2*w - 26 = v*o, 4 = -o + 9. What is the highest common factor of w and 9?", "a": "9" }, { "q": "Suppose -92*i + 2*v + 34 = -91*i, 11*v + 66 = 0. Let p be (33/1)/((-6)/(-8)). Calculate the greatest common divisor of p and i.", "a": "22" }, { "q": "Suppose -120*o - 128 = -124*o + k, 3*o - 96 = -5*k. What is the highest common divisor of 3616 and o?", "a": "32" }, { "q": "Let b(i) = 117*i - 2345. Let c be b(21). Calculate the greatest common factor of c and 112.", "a": "112" }, { "q": "Let i = 2790 - 2740. Calculate the highest common factor of 10 and i.", "a": "10" }, { "q": "Suppose -2 = -2*r + 58. Suppose -49 + 469 = 10*k. Suppose 0*j = -7*j + k. Calculate the highest common divisor of r and j.", "a": "6" }, { "q": "Let k(i) = -44*i - 12. Let f be k(-6). Let d be ((-6)/(-7))/((-1)/(-7)). Suppose 5*b - d*b = -3*p - 28, 0 = 2*p. Calculate the highest common factor of b and f.", "a": "28" }, { "q": "Let u = -44 + 52. Let q be (-162)/(-72) - 2/u. Suppose 10*r = 40 + 20. What is the greatest common divisor of r and q?", "a": "2" }, { "q": "Let d = 5 + -1. Let s(x) = x**3 + 9*x**2 - 11*x + 1. Let p be s(-9). Let y = p - 84. Calculate the highest common divisor of d and y.", "a": "4" }, { "q": "Let c(g) = g**3 - 5*g**2 + 5*g. Let w be c(2). Let h be (w/(-7))/((-7)/(-196)). Calculate the greatest common divisor of 20 and h.", "a": "4" }, { "q": "Let b(z) = z + 8. Let j be (-42)/18*3 - -1. Let s be b(j). What is the greatest common divisor of s and 16?", "a": "2" }, { "q": "Let j(m) = m**3 - 14*m**2 + 43*m + 55. Let v be j(9). Calculate the greatest common divisor of v and 1184.", "a": "37" }, { "q": "Let q(z) = -2*z**3 - 7*z**2 - 9*z - 2. Let k = -111 + 109. Let j be q(k). Calculate the highest common divisor of j and 56.", "a": "4" }, { "q": "Suppose -3*j + 50 = 2*j. Suppose 4 = -2*g + j. Suppose 19*x + 28 = 20*x - f, -2*f + 10 = 0. What is the highest common factor of x and g?", "a": "3" }, { "q": "Suppose 5*w = -2*j + 3*w + 378, 3*j + w - 567 = 0. Let z be (-2 + -2)/2 + 7. Suppose z*a - j = 211. Calculate the greatest common divisor of a and 20.", "a": "20" }, { "q": "Let d(m) = -m**3 + 8*m**2 + 60*m - 79. Let t be d(10). What is the highest common divisor of t and 6?", "a": "3" }, { "q": "Let s(u) = -u**2 - 30*u - 165. Let c be s(-15). What is the greatest common divisor of c and 540?", "a": "60" }, { "q": "Let l = -42 - -63. Suppose c = 189 - l. Calculate the highest common factor of 48 and c.", "a": "24" }, { "q": "Let x be -2*-8*30*(-3)/(24/(-2)). Calculate the highest common factor of 680 and x.", "a": "40" }, { "q": "Suppose -1230 - 168 = -3*m + 3*g, -g - 2314 = -5*m. Calculate the greatest common divisor of 63 and m.", "a": "21" }, { "q": "Suppose 5*s + 9*k - 302 = 10*k, -5*s - k = -298. What is the highest common divisor of 500 and s?", "a": "20" }, { "q": "Let n be (0 - (-278)/2) + (2 - 5). Let b(z) = z**2 + 18*z + 80. Let x be b(-6). What is the greatest common divisor of x and n?", "a": "8" }, { "q": "Let r(w) = 5*w - 1. Let j be r(3). Suppose 0 = 3*h - j - 31. Suppose -i = -3*l - 72, -30*l - 63 = -2*i - 33*l. What is the greatest common divisor of h and i?", "a": "15" }, { "q": "Let w(c) = 24*c + 11. Let d be w(-7). Let m = d - -231. Suppose -l + 259 = 6*l. What is the highest common factor of l and m?", "a": "37" }, { "q": "Let d(j) = -j + 13. Let b be (110/(-15))/(8/(-36)). Suppose 0*q + 4*p - 5 = -3*q, 3*q - b = 3*p. Let s be d(q). What is the greatest common divisor of 54 and s?", "a": "6" }, { "q": "Let l = 770 + -315. Suppose t = g + 3*t - 21, 5*t + 32 = 4*g. What is the greatest common divisor of l and g?", "a": "13" }, { "q": "Suppose -2*i + 5*n = -132 - 29, 0 = -2*i + 3*n + 151. Let g = 470 - 368. Calculate the highest common factor of i and g.", "a": "34" }, { "q": "Let i(m) = -9*m**3 - 62*m**2 + 2*m - 5. Let o be i(-7). Let a be (81/2)/(6/40). What is the highest common factor of o and a?", "a": "30" }, { "q": "Let v be (1 + 1)/((-2)/(-5)). Let g(m) = -12*m + 21. Let o be g(v). Let d = o + 62. What is the greatest common factor of d and 23?", "a": "23" }, { "q": "Suppose 4*i = 5*o - 268, 2*o - 5*i + 68 = 182. Let q(c) = -3*c**2 - 46*c - 11. Let n be q(-15). Calculate the highest common factor of n and o.", "a": "4" }, { "q": "Let d = -41 + 68. Suppose 5*f + 5*a = 75 + 1015, -2*f + 5*a + 422 = 0. Calculate the highest common factor of d and f.", "a": "27" }, { "q": "Let f = 3100 - 3091. What is the greatest common factor of f and 576?", "a": "9" }, { "q": "Let t(j) = 4*j**2 + 32*j + 44. Let u be t(-11). Let q(g) = -g**2 + 16. Let p be q(0). What is the greatest common divisor of u and p?", "a": "16" }, { "q": "Let o = 33 - 33. Let p = 31 - 29. Suppose -2*m - 5*z + 538 = o, -5*m + p*z - 521 = -1837. What is the greatest common factor of m and 24?", "a": "24" }, { "q": "Let i(m) = m + 818. Let s be i(77). Calculate the greatest common factor of 10 and s.", "a": "5" }, { "q": "Let l(a) = -a**2 - 13*a + 21. Let f be l(-15). Let q be (-15)/f - (-6)/18. What is the greatest common divisor of q and 46?", "a": "2" }, { "q": "Let q(f) = 4*f + 9 - 7 + 6 - 6*f + 9*f. Suppose 0 = -2*y - 2*y + 24. Let b be q(y). Calculate the highest common divisor of 20 and b.", "a": "10" }, { "q": "Let v(j) = -j**3 - 13*j**2 + 17*j + 319. Let p be v(-13). Calculate the greatest common divisor of p and 378.", "a": "14" }, { "q": "Let r be (0 - 0) + -13 + 26. Suppose 0 = -r*k + 163 + 110. What is the greatest common factor of 49 and k?", "a": "7" }, { "q": "Let y = 989 + -938. Calculate the greatest common divisor of y and 2703.", "a": "51" }, { "q": "Suppose -32*w = -52224 + 3168. Calculate the greatest common factor of 21 and w.", "a": "21" }, { "q": "Let t(h) = -h**3 + 84*h**2 - 81*h - 122. Let m be t(83). What is the highest common divisor of 484 and m?", "a": "44" }, { "q": "Let t = 4476 + -3165. Calculate the greatest common divisor of t and 57.", "a": "57" }, { "q": "Let i be (6 + 229)/(4/(-144)*-9). Calculate the greatest common factor of 60 and i.", "a": "20" }, { "q": "Let b(a) = 7*a**2 - 127*a + 649. Let u be b(5). Calculate the greatest common divisor of u and 297.", "a": "27" }, { "q": "Let k(a) = 6*a**2 - 16*a - 31. Let x(l) = -2*l**2 + 5*l + 11. Let t(g) = -4*k(g) - 11*x(g). Let y be t(4). Calculate the highest common factor of 14 and y.", "a": "7" }, { "q": "Suppose 3*n = 3*u + 12, -8 = -0*u + 4*u. Suppose -n*f + 0*f = 4. Let i be ((-1)/2)/(f + 126/64). What is the greatest common factor of i and 128?", "a": "16" }, { "q": "Suppose 5*x = -0*x + 45. Let y(h) = -h**3 + 36*h**2 - 37*h + 65. Let d be y(35). Let t be d/((-5)/103) - 4. What is the highest common divisor of t and x?", "a": "9" }, { "q": "Let o(y) = y**3 + 18*y**2 + 21*y - 140. Let m be o(-16). What is the highest common factor of m and 1206?", "a": "18" }, { "q": "Let x = -8 + 16. Suppose -5*f - 2 = 8, -2*y - 5*f = -468. Suppose y - 15 = 4*r. What is the highest common factor of r and x?", "a": "8" }, { "q": "Suppose 0 = -m + i - 43, 2*m + 55 = i - 36. Let p be -9 + (1 - -1)/((-20)/(-30)). Let v be (27/p)/(4/m). Calculate the highest common divisor of 36 and v.", "a": "18" }, { "q": "Let b(z) = z**3 - 6*z**2 + 6*z - 3. Let n be b(5). Let c = -22169 + 22171. Calculate the greatest common factor of c and n.", "a": "2" }, { "q": "Let n = 166 - 169. Let l be 83 - (-6)/n - (-8)/(-2). Calculate the highest common divisor of 14 and l.", "a": "7" }, { "q": "Suppose -45*j - 64*j = -118592. What is the highest common factor of 408 and j?", "a": "136" }, { "q": "Let z be 5*(-24604)/(-260) - (-1 - (-45)/39). What is the highest common factor of z and 43?", "a": "43" }, { "q": "Suppose 21*r + 15*r = -23*r + 5074. Calculate the greatest common factor of r and 2.", "a": "2" }, { "q": "Let l be ((-153)/(-27))/(1/21). Suppose 36*c - 611 = 1. What is the highest common divisor of c and l?", "a": "17" }, { "q": "Suppose -f + 3*f = 2*v - 2, -5 = 5*v + 5*f. Suppose v = 309*d - 311*d + 256. What is the greatest common factor of d and 16?", "a": "16" }, { "q": "Let c = 1751 + -1707. Calculate the highest common divisor of c and 11.", "a": "11" }, { "q": "Let s(b) = 3245*b**2 - 104*b - 106. Let d be s(-1). Calculate the highest common factor of d and 69.", "a": "69" }, { "q": "Suppose 3*h - 11*h = -816. Suppose 3*w = 4*w - 68. What is the highest common divisor of w and h?", "a": "34" }, { "q": "Suppose 0 = -h + 2 - 6, f - 2293 = -2*h. What is the greatest common divisor of 354 and f?", "a": "177" }, { "q": "Let l = -116 + 117. Let v(f) = f**3 - 3*f**2 - 12*f + 11. Let a be v(5). What is the highest common divisor of a and l?", "a": "1" }, { "q": "Let y(j) = -13*j**2 + 10*j - 3. Let l be y(6). Let s = l - -931. Calculate the greatest common factor of s and 52.", "a": "52" }, { "q": "Suppose 4*m = -0*j + 4*j - 84, 31 = j + m. Let i(q) = -2*q**3 + 69*q**2 + 842*q - 108. Let s be i(44). What is the greatest common divisor of s and j?", "a": "26" }, { "q": "Let m(j) = -24*j - 3. Let c be m(-2). Suppose -4*q = 2*q + 774. Let g = q + 147. Calculate the greatest common factor of c and g.", "a": "9" }, { "q": "Let k be ((2 + -1)*-1)/(6/36). Let q(v) = v**3 + 7*v**2 + 3*v - 8. Let w be q(k). Let c be 164/2 + -4 + 2. What is the greatest common factor of c and w?", "a": "10" }, { "q": "Let j(y) = y**2 + 4*y - 3. Let o be j(-10). Let m be -6*39/(-6) + 4. Let b = m + -5. Calculate the greatest common divisor of b and o.", "a": "19" }, { "q": "Let j(l) = 9*l**2 - 81*l + 22. Let f be j(9). Calculate the greatest common divisor of 2057 and f.", "a": "11" }, { "q": "Let m(i) = 6*i**2 + 2*i - 2. Let b be m(-2). Let v = 557 + -157. Let o = v - 220. Calculate the highest common divisor of o and b.", "a": "18" }, { "q": "Suppose x = -2*g - 69, x = -4*g + 3*x - 150. Let c be ((-24)/g)/(-2 - (-3336)/1665). What is the highest common factor of 37 and c?", "a": "37" }, { "q": "Let c(f) = 20*f + 495. Let t be c(0). Calculate the greatest common factor of 5 and t.", "a": "5" }, { "q": "Let u = 22 - 6. Let n be (-628)/(-28) + (-3)/7. Let p = -6 + n. What is the greatest common divisor of p and u?", "a": "16" }, { "q": "Let i be 1285*(2 - -6)/8. What is the highest common factor of 5 and i?", "a": "5" }, { "q": "Let u be (-87)/(-9) - 2/(-6). Suppose 0 = 5*x - 51 - 24. Suppose 0 = x*q + 128 - 1778. Calculate the highest common factor of u and q.", "a": "10" }, { "q": "Suppose 18*i + 2*y = 15*i + 54, -4*i - 4*y + 68 = 0. Let a = 10 + 1. Suppose -5*p + a + 9 = 0. Calculate the highest common divisor of p and i.", "a": "4" }, { "q": "Suppose 3*j - 7 = -2*c, c + 2 = -j + 6. Suppose -c*k + 2 = -4*k. Suppose 55 = 3*x - h, -k*x - 3*h + 30 = -25. Calculate the greatest common factor of 180 and x.", "a": "20" }, { "q": "Let q(z) = -2*z**3 - 19*z**2 - 2*z + 42. Let v be q(0). Calculate the highest common divisor of 5103 and v.", "a": "21" }, { "q": "Suppose 17*v + 6485 + 961 = 74953. Calculate the greatest common divisor of 11 and v.", "a": "11" }, { "q": "Suppose 680 = 3*c + c. Let s(z) = 7*z**2 - 76*z - 161. Let a be s(13). What is the greatest common factor of a and c?", "a": "34" }, { "q": "Let f be 3/12 - (-118)/8. Let u = 621 - 606. What is the highest common divisor of u and f?", "a": "15" }, { "q": "Let y be ((-26)/32)/(102/(-1632)). Calculate the highest common factor of 26 and y.", "a": "13" }, { "q": "Suppose -50*g = -46*g + 8, 3*g + 16470 = 3*l. Calculate the greatest common divisor of l and 16.", "a": "16" }, { "q": "Let z = 162 - 129. Let b = -27 + z. What is the highest common factor of b and 54?", "a": "6" }, { "q": "Let j = -26 - -54. Let o = j - 16. Let w be 36*(13 - -2)/5. Calculate the highest common factor of o and w.", "a": "12" }, { "q": "Suppose 4*j + 1 = 13. Suppose 0 = j*z + 2*z - 55. Let t(r) = r**2 + 49*r + 55. Let p be t(-49). Calculate the greatest common factor of z and p.", "a": "11" }, { "q": "Let w = 3 + 0. Let g be 15 - w/((-6)/(-4)). Let y = 38768 - 38651. Calculate the highest common divisor of g and y.", "a": "13" }, { "q": "Suppose 12*a - 9*a - 27 = 0. Suppose 0 = a*j + 2 - 20. Suppose -2*z - 9 = -3*d, 3*d = j*d - 5*z + 20. Calculate the greatest common divisor of 35 and d.", "a": "5" }, { "q": "Suppose 16*v - 11*v - 890 = 0. Let c = v - 170. Calculate the highest common divisor of 16 and c.", "a": "8" }, { "q": "Suppose -x = 3*u - 95, 0*x = 5*u - x - 145. Suppose -y = 9*y - u. Calculate the highest common factor of 1 and y.", "a": "1" }, { "q": "Suppose 0 = -52*x + 57*x - 4*c - 7256, -2888 = -2*x - 2*c. Calculate the greatest common divisor of x and 181.", "a": "181" }, { "q": "Let x be (6 - (4 + 2))/(-6). Suppose -p - 3*p + 12 = x, 4*m - 2546 = 2*p. What is the greatest common divisor of 58 and m?", "a": "58" }, { "q": "Let s(y) = -y**3 + 13*y**2 + 59*y + 13. Let f be s(-5). What is the highest common factor of 189 and f?", "a": "21" }, { "q": "Let u(c) = -c**2 - 36*c + 106. Let g be u(-38). Let w be 60/1 + -2 + (28 - g). What is the highest common factor of 8 and w?", "a": "8" }, { "q": "Suppose -32 + 88 = 14*c. Suppose 10*u - c*u - 390 = 0. Calculate the highest common divisor of 104 and u.", "a": "13" }, { "q": "Let p = -165 - -168. Let t be 1/(-3) + 0 - (-403)/p. What is the greatest common divisor of t and 67?", "a": "67" }, { "q": "Let t(p) = p + 36. Let x be t(-31). Suppose 3*q - y = -3*y + 84, x*q + y - 140 = 0. What is the greatest common divisor of 7 and q?", "a": "7" }, { "q": "Let d be (1 + -2)/((-1)/11). Let q = d - -16. Let j be 440/48 - (-2)/(-12). Calculate the highest common divisor of j and q.", "a": "9" }, { "q": "Let r(d) = 39*d - 964. Let x be r(25). Let i be 1 + 9*3*2. Calculate the highest common factor of i and x.", "a": "11" }, { "q": "Let u = -151 - -265. Suppose 4*j + 18 = u. Calculate the greatest common factor of 72 and j.", "a": "24" }, { "q": "Let v(g) = -g**3 + 75*g**2 + 96*g - 114. Let t be v(76). Calculate the highest common divisor of 114 and t.", "a": "38" }, { "q": "Let m be -1*(7 - 4 - 4). Suppose 3*i - 6 = -3*k, i = k - m + 9. Suppose o = -5*g + 76, -3*g = -i*o - 33 - 7. What is the highest common factor of 6 and g?", "a": "3" }, { "q": "Let r be 2*3*(0 - -21). Let f = -2529 + 2565. What is the greatest common divisor of r and f?", "a": "18" }, { "q": "Let m be (0 - 276)/(-1) + 1. Let o be (-35)/(-10)*(192/56)/4. Suppose 2*p + o*p = -2*v + m, 5*p = -3*v + 278. Calculate the highest common divisor of 11 and p.", "a": "11" }, { "q": "Let u(w) = -2*w**3 + 5*w**2 + 17*w - 3. Let f be u(-3). Calculate the highest common factor of 90 and f.", "a": "45" }, { "q": "Suppose 0 = 3*n - 36. Suppose w + 3*b - 129 = 0, 5*b - 6*b - 597 = -5*w. What is the highest common factor of n and w?", "a": "12" }, { "q": "Suppose -2*b + 1314 = -2*y - 848, 3240 = 3*b - 2*y. What is the highest common divisor of b and 22?", "a": "22" }, { "q": "Suppose 2*t - 5*r - 1 = -94, -2*t - r - 75 = 0. Let x = t + 63. What is the greatest common factor of x and 12?", "a": "12" }, { "q": "Let x(r) = 4*r**2 - 5*r + 8*r - 18 + 8*r. Let q be x(2). Suppose -18 = -j - 5*n + 3*n, -5*n = 2*j - 35. What is the greatest common divisor of q and j?", "a": "20" }, { "q": "Let l be -2 - (-4 + 1 - 0). Let j = 9 - l. Suppose 56*r - 42*r - 560 = 0. Calculate the highest common divisor of j and r.", "a": "8" }, { "q": "Let y = -6 + 9. Suppose 1958 = 977*j - 18559. What is the highest common divisor of y and j?", "a": "3" }, { "q": "Let h be (-10 - (-16 - 43))/((-1)/(-1)). Let j be (-343)/(-3 - 2*-1). Calculate the greatest common factor of j and h.", "a": "49" }, { "q": "Suppose 8677 = 6*w - 521. What is the greatest common divisor of 21 and w?", "a": "21" }, { "q": "Let q be -30 - -292 - (3/(-6) + 0)*4. What is the highest common divisor of q and 209?", "a": "11" }, { "q": "Let f = 533 + -191. Let q = 61 - 23. Calculate the greatest common divisor of q and f.", "a": "38" }, { "q": "Suppose 4*g - 5*s - 953 = 0, -2*s = g - 5*s - 233. Let y = -69 - -102. Suppose -3*u + y = -33. What is the greatest common factor of g and u?", "a": "22" }, { "q": "Suppose 5*r + 4*b = 52, 0 = -5*r + 5*b + 46 + 24. Suppose -2*i + 5*y = -3 + 5, -4*i + r = -2*y. Calculate the highest common divisor of 10 and i.", "a": "2" }, { "q": "Let u = -38 - -31. Let g be 2/u + 107586/(-14). Let t be g/(-45) - 2/(-9). Calculate the greatest common factor of 19 and t.", "a": "19" }, { "q": "Let k be (-1001)/(-5) + (-42)/10 + 4. Let u = k + -304. Let z be (u/(-3))/((-4)/(-6)). What is the highest common divisor of 130 and z?", "a": "26" }, { "q": "Suppose -4*w = -2*h + 8 + 32, h + 10*w = -40. Calculate the highest common divisor of h and 2830.", "a": "10" }, { "q": "Suppose 2*c + 2 = 4, 0 = 4*v + 4*c + 528. Let f = -125 - v. Calculate the highest common divisor of 10 and f.", "a": "2" }, { "q": "Let m(h) = 3*h + 3. Let q be m(-2). Let o be (-23)/(-5) - q/(-15)*-2. Suppose 0 = -7*y + o*y + 10. Calculate the greatest common factor of 55 and y.", "a": "5" }, { "q": "Suppose 0*b = b - 3. Suppose -4*c + 11 - 71 = -2*u, -63 = -b*u - 3*c. What is the greatest common divisor of 8 and u?", "a": "8" }, { "q": "Suppose 11*b - 12*b + 585 = 12*b. Calculate the highest common factor of 36 and b.", "a": "9" }, { "q": "Suppose 71*o - 116178 = 20*o. What is the greatest common factor of 34 and o?", "a": "34" }, { "q": "Let g = -22 + 30. Suppose 3*b + b - 4*j = g, 0 = -b - j - 2. Suppose b = -6*d + 44 + 16. Calculate the greatest common divisor of d and 5.", "a": "5" }, { "q": "Let b = -10 + 31. Suppose 18*n - 53 - 19 = 0. Suppose n*m - 89 = 667. What is the greatest common factor of b and m?", "a": "21" }, { "q": "Let x = 5264 + -4841. Calculate the greatest common factor of x and 329.", "a": "47" }, { "q": "Let k(q) = -8*q**3 + q**2 - 5*q + 2. Let u be k(3). Let y = u + 251. What is the greatest common factor of y and 124?", "a": "31" }, { "q": "Let d be (1 + -5)*1 - 104. Let n be d/(-3) + (5 - 10). What is the greatest common factor of 62 and n?", "a": "31" }, { "q": "Let p be (-6)/(-10) - (-85)/25. Suppose -h = -p*h + 18. Suppose -30*b - 27*b = -342. Calculate the greatest common divisor of b and h.", "a": "6" }, { "q": "Let z = 208 - 142. Suppose -6 = -m - 5*y + 2, 4*m = -3*y + z. What is the greatest common divisor of 12 and m?", "a": "6" }, { "q": "Let q = -224 + 229. Let f(g) = -g**3 - 4*g**2 - 4*g - 3. Let b be f(-3). Suppose b = -q*c + 2*c + 30. Calculate the highest common divisor of 50 and c.", "a": "10" }, { "q": "Suppose -3*l + 4*c + 88 = 0, -c = -4*l + c + 134. Suppose 5*p - 5*t - 3 = 332, -t = -4*p + 256. What is the highest common divisor of l and p?", "a": "9" }, { "q": "Suppose 0 = -w + 34 - 5. Let p be 2*-2*3*6/(-9). Let h be 6*58*2/p. Calculate the greatest common factor of w and h.", "a": "29" }, { "q": "Let a = 49 + -43. Let u(v) = -2*v**2 + 17*v - 15. Suppose -15*r = -11*r - 24. Let y be u(r). Calculate the highest common divisor of y and a.", "a": "3" }, { "q": "Let m(n) = -4*n + 107. Let h be m(14). Calculate the greatest common divisor of 1649 and h.", "a": "17" }, { "q": "Let q be -1 + (-7)/(-5) - (-390)/150. Suppose -59 = -2*o - 3*d, 2 = -d + q. Calculate the highest common divisor of 4 and o.", "a": "4" }, { "q": "Suppose 3*c + 3*c = 192. Let s = -17 + c. Calculate the greatest common factor of s and 40.", "a": "5" }, { "q": "Let r be 108*((85/3)/17)/(5/14). Calculate the greatest common divisor of 576 and r.", "a": "72" }, { "q": "Let f be 1808/8 + -2 + -3. Suppose -3*l - 5 + f = 0. What is the greatest common factor of 8 and l?", "a": "8" }, { "q": "Suppose 5*j + 5*r = 35, r + 11 = -3*j + 8*j. Let h = -15 - -19. Let u be (2/j)/(h/18). What is the highest common divisor of u and 9?", "a": "3" }, { "q": "Suppose -4*b + 16 = 0, -3*n + 5*n - 5*b - 82 = 0. Calculate the highest common divisor of n and 884.", "a": "17" }, { "q": "Let w be (0 - 2)/((-136)/82076). Calculate the greatest common divisor of 17 and w.", "a": "17" }, { "q": "Let a be 8/(8/(-3)) - -163. Suppose -a = -5*d + 285. Let c = d + -24. Calculate the highest common divisor of c and 26.", "a": "13" }, { "q": "Let q = -172 - -289. Let k(u) = -u**3 - u**2 + 12*u - 27. Let p be k(-5). Calculate the greatest common factor of q and p.", "a": "13" }, { "q": "Let f be 26*(-7 + (-798)/(-28)). What is the highest common factor of f and 129?", "a": "43" }, { "q": "Let c(q) = q**3 + 19*q**2 + 1. Let s be c(-19). Suppose s = m - 0. Let g be 16 + -4 + 6 + m + -3. Calculate the greatest common factor of 32 and g.", "a": "16" }, { "q": "Let t be (110 - -13) + 1*4. Suppose -13*q = -16 - t. Calculate the greatest common factor of 176 and q.", "a": "11" }, { "q": "Let f(x) = -x**2 - 34*x + 12. Let t(h) = -h**2 - 17*h + 6. Let o(a) = 3*f(a) - 5*t(a). Let k be o(12). What is the greatest common divisor of 36 and k?", "a": "18" }, { "q": "Let j be 0 + -6*(-4)/30*(20 + 0). Calculate the highest common factor of 720 and j.", "a": "16" }, { "q": "Suppose 3*y = 28 - 388. Let z = y + 125. Calculate the highest common factor of 25 and z.", "a": "5" }, { "q": "Suppose 15*c - 33572 = -7*c. What is the highest common divisor of 14 and c?", "a": "14" }, { "q": "Let a be (-2)/((7/21)/(2/3)). Let w(f) = -72*f + 9. Let b be w(a). Calculate the highest common factor of b and 27.", "a": "27" }, { "q": "Let x(y) = y**3 - y + 199. Let i be x(0). Let p = -181 + i. Calculate the highest common factor of p and 4.", "a": "2" }, { "q": "Let z(r) = r**2 + 128. Let y be z(22). What is the greatest common divisor of y and 27?", "a": "9" }, { "q": "Suppose 0*r + 3*r - 984 = 0. Suppose -157 = -22*o + 19. Suppose 656 = 24*v - o*v. What is the highest common factor of v and r?", "a": "41" }, { "q": "Suppose 35*t = 84046 + 17627 + 118057. What is the highest common divisor of 86 and t?", "a": "86" }, { "q": "Suppose -f + 12 = s, 14*f - 9*f - 90 = s. Let o be 267/1 + (-1)/(-1). Let v be 1/2 - o/(-8). Calculate the highest common factor of f and v.", "a": "17" }, { "q": "Suppose 3*t = -5*r - 8 + 31, -5*t = 3*r - 17. Let p be r/(-10) + 72/(-20) + 29. Calculate the greatest common factor of p and 75.", "a": "25" }, { "q": "Let p = 652 + -364. Let o be (-12 - -3 - -15) + (12 - 0). Calculate the highest common divisor of o and p.", "a": "18" } ]