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v = a - -824/7. Put -3/7, -2, -0.3, v in increasing order. -2, -3/7, -0.3, v Let z(h) = 2*h**2 - 176*h + 172. Let n be z(87). Let i = 11 + -6. Suppose -i*w = -w. Sort n, w, -8 in increasing order. -8, n, w Let n(p) = 4*p - 124. Let w be n(36). Suppose 3*x - g + w + 1 = 0, -3*x - 5*g - 39 = 0. Suppose -2*r = -6*r. Sort 3, r, x, -5 in ascending order. x, -5, r, 3 Let r be 6/(-3) - -3 - -553 - -3. Let z = -555 + r. Sort -5, -7, z, 4 in ascending order. -7, -5, z, 4 Let j = 1110 - 84361/76. Let h = 155/228 + j. Put 15, 3, h in descending order. 15, 3, h Let y = -8.1 + 21. Let n = 14.4 - y. Put 0, n, 2/7 in descending order. n, 2/7, 0 Let y be ((-136)/(-119))/((-1)/(-14)). Suppose -y = 4*s - 12*s. Sort s, 14, -0.1, 1 in ascending order. -0.1, 1, s, 14 Let l = 14491 - 14531. Sort -4, 3, -1/2, l. l, -4, -1/2, 3 Suppose -y + 2*y = 2*w - 1, 2 = 2*y. Let l = -33 - -41. Sort w, 5, l. w, 5, l Let q = -13.2 - -13. Let g be 6 + 4 + -1*(-1533)/(-154). Sort -5, g, q in descending order. g, q, -5 Suppose 2*z + 3*x - 23 = 0, -z + 4*x = 2*x + 6. Suppose 1365 = -300*q - 435. Let i = -2 + -1. Put i, -2, q, z in decreasing order. z, -2, i, q Let k = -1/9 - 13/45. Let j = -1/5 - -3/5. Let o = 0.01 + -0.07. Put o, k, -1/4, j in descending order. j, o, -1/4, k Let k = -1 - -1. Let c = 3.05 - 0.05. Let b be (-5)/(-2)*((-62 - -52) + 126/15). Put b, c, k, -5/4 in decreasing order. c, k, -5/4, b Suppose 0 = -17*u + 479 - 54. Suppose -10*d + 6*d - u = b, -20 = -b + 5*d. Put 0, b, -26, -1 in descending order. 0, -1, b, -26 Let v = -10 - 2. Let x = v - -9. Let c be ((-52)/(-117))/(2*(-5)/45). Put 3, c, x, 4 in descending order. 4, 3, c, x Let i = -2 - -3. Let r be 2/4*(-10 - (-9 + 1)). Let c be (-2)/(r/(0 + (-11)/(-2))). Sort c, -4, i in descending order. c, i, -4 Let f(r) = -16*r - 624. Let d be f(-21). Sort -1, d, 1 in increasing order. d, -1, 1 Let n be (18/(-8))/((-286)/(-52) + -4). Put -2, 1/11, n, -0.02 in increasing order. -2, n, -0.02, 1/11 Let u = 2495 + -222058/89. Let y = 193/445 + u. Let h be 1/(0 + 14/(-8)). Put y, h, -5 in descending order. y, h, -5 Let g(j) = -2*j**3 - 14*j**2 + 43*j + 159. Let t be g(-8). Sort t, -5, -4 in descending order. -4, -5, t Let n be 1/3 - (-16958)/915 - 10/(-75). Put -13, 4, 3, 0, n in ascending order. -13, 0, 3, 4, n Let k(v) = v**3 + 3*v**2 - 8*v - 7. Let f be k(-4). Suppose 0 = -6*z + f*z - 9. Suppose 3*q + l + 5 = 0, 5*q + 3*l = -14 + z. Put 4, q, -4 in increasing order. -4, q, 4 Let w be (-5)/(-2)*(-304)/570. Let k = -13 - -19. Sort k, w, -0.2 in ascending order. w, -0.2, k Suppose 0*r = 4*r + 16. Suppose -3*x = -u - 7 - 40, -x - 131 = 3*u. Let t = 39 + u. Put 1, t, r in ascending order. t, r, 1 Suppose -156 + 9 = 7*y. Let o be ((-105)/6)/5*24/y. Sort -3, o, -5 in ascending order. -5, -3, o Let m = -1560 - -1554. Sort 5, -13, m in descending order. 5, m, -13 Let y(q) = -10*q**2 - q - 6*q - 2*q**3 + 8*q - 9. Let j be y(-6). Let z = j - 58. Put z, -4, 21 in descending order. 21, z, -4 Let o = 522 + 120. Let w = 642.1 - o. Sort 0, -0.5, w, 44/7. -0.5, 0, w, 44/7 Let t be 166/(-18) + (-6)/(-27). Let k be 4 - t/12*-4. Let l be (-319)/29 + (-7)/(-3 - -2). Sort l, 3, k. l, k, 3 Let f = -1312 + 1311.9. Let t = -2.8 - -6. Let x = t + -1.2. Sort x, 5, f, 0.1. f, 0.1, x, 5 Suppose 2*b + 42 = 5*p, -b - 5*p + 12 = -12. Put -1, b, -58, 3 in decreasing order. 3, -1, b, -58 Suppose -12*l + 32 + 0 = 4*l. Sort l, -1.3, 0, -5 in descending order. l, 0, -1.3, -5 Let x = 0.05475 - -0.14525. Sort x, -5, -1/9, 4, 187/6 in decreasing order. 187/6, 4, x, -1/9, -5 Suppose -6*d + 1150 = -d + s, 3*d + s - 690 = 0. Suppose d = -17*i + 22*i. Let b = i - 91/2. Sort b, -1/3, 0, 2 in ascending order. -1/3, 0, b, 2 Let v(y) = 4*y**2 - 30*y + 18. Let q be v(7). Put -108, 0, q, -4, -5 in increasing order. -108, -5, -4, 0, q Let o(m) = -m**2 + 8*m - 4. Let v be o(6). Let w = -34 - -36. Let g = -67 + 67. Sort v, w, g in descending order. v, w, g Let f = -3453 + 3449. Put 61, 0, 2, 4, f in decreasing order. 61, 4, 2, 0, f Let b = 1 + 4. Let a = 1/3211 - 16577/48165. Let v = 4/19 + a. Put 1, -2/3, v, b in decreasing order. b, 1, v, -2/3 Let y = 645.6 - 645.2. Let x(b) = 4*b - 6 + b**2 - b**2 + 3*b**2 - 2*b**2. Let g be x(-5). Sort y, -1/2, g in descending order. y, -1/2, g Let o = -32 - -33. Let x(p) = -4*p**3 - p**2 + p. Let d be x(o). Suppose 11*i - i - 20 = 0. Sort 5, -5, d, i in decreasing order. 5, i, d, -5 Let i be (-7)/13*((-600)/(-56) - 11). Sort i, 0, 0.3, -1 in ascending order. -1, 0, i, 0.3 Let s = 53 - 54. Let n be (-12)/(-18)*(-9)/(-39). Let r = -479/138 + -2/69. Put s, n, r in descending order. n, s, r Let l(v) = -v**2 - 11*v - 33. Let b be l(-6). Let h = 89 + -64. Suppose -4*a + 18 = 2*c, 5*a + h = 2*c + 2*a. Put c, 2, b, -1 in ascending order. b, -1, 2, c Let w = -129 + 131. Let x = 173 + -177. Let u be 4 + 1 - (1 - 1). Put 3, w, u, x in increasing order. x, w, 3, u Let k = 2615.9 - 2356. Let b = k - 260. Sort b, -0.5, 10. -0.5, b, 10 Let o = -1/20 + 11/60. Let a be (-282)/329*(0 + 1/(-3)). Put -3, a, o in decreasing order. a, o, -3 Suppose j - 6*j = 5. Let y(r) = -r**3 + 12*r**2 + 47*r - 35. Let n be y(15). Sort n, j, -11 in decreasing order. j, n, -11 Let r be (-2)/3*(4 + -1). Let a be (-628)/(-448) - 3 - 3. Let g = a - -69/16. Sort 0.6, r, g in increasing order. r, g, 0.6 Let c be (2 - 3)/(1*(-2)/2). Let f be (39/(-4) - 2/8)/c. Let q(z) = -z**3 - 11*z**2 - 10*z - 1. Let w be q(f). Put 1, w, -19, 4 in decreasing order. 4, 1, w, -19 Let i = -44 + 37. Let n = -13 - i. Let u = 1 + n. Sort 13/2, u, 0 in increasing order. u, 0, 13/2 Suppose -449 = -20*b - 449. Put 2, b, -61, -5 in ascending order. -61, -5, b, 2 Suppose -14*s + 15*s + 29 - 11 = 0. Put s, 11, 8 in ascending order. s, 8, 11 Suppose 3*a = 5*u + 10, 3*u + 4*a = -a - 40. Let l be 20/15*(-2 - 21/(-6)). Sort l, -2, 3, u in increasing order. u, -2, l, 3 Let y = 6538 + -6530. Sort y, 35, 5 in increasing order. 5, y, 35 Let i = -11 + 14. Let d = 35 + -33.71. Let p = d + 10.71. Sort -1, i, p in increasing order. -1, i, p Let p = 8.99062 - -0.00938. Sort p, 2, -1/2, -4, 13 in descending order. 13, p, 2, -1/2, -4 Let j be 8 + (1 + 2)/(48/(-48)). Let v(u) = u**3 - 7*u**2 + u - 15. Let k be v(7). Sort j, -3, k, 0 in ascending order. k, -3, 0, j Let f = -11526 + 11525.7. Put -0.2, f, 31/32 in ascending order. f, -0.2, 31/32 Let c = -27807 - -27816. Let n = 0 - 4. Put n, -1, 2/9, c in increasing order. n, -1, 2/9, c Suppose 14*w = 11*w. Suppose w = -5*i + 7*i - 2. Let t be (-34)/8 - (-14)/56. Put i, t, -1 in decreasing order. i, -1, t Let i = 0.05 - -0.35. Let c be (-3748)/24*4/(-114). Let o = -102/19 + c. Sort i, 24, o. o, i, 24 Suppose -4*y = -0 + 20. Let g = 301 - 304. Let b(s) = s**3 - 6*s**2 + 6*s - 1. Let w be b(5). Sort w, -4, g, y in descending order. w, g, -4, y Let z = -0.4839 + 3.584. Let x = z + -0.1001. Sort x, -3, 13, -0.4 in ascending order. -3, -0.4, x, 13 Let n = -2715030 + 1791920291/660. Let y = 1/165 + n. Put 2, 14/11, y in descending order. 2, 14/11, y Let z = 145.4 - 224.4. Sort -1/8, 9/5, z in increasing order. z, -1/8, 9/5 Suppose -z - 5*a - 26 = 0, -3*a = -9*z + 6*z + 12. Let f(h) = -5*h**2 + 7*h + 5. Let d be f(z). Sort d, 5, -6, 0. d, -6, 0, 5 Let n = 3.1 + 428.9. Let d = -432.04 + n. Sort d, -1/8, 0.3 in decreasing order. 0.3, d, -1/8 Let i be (18/4)/((-12)/(-32)*-2). Let u be (-6)/(-21) + (-4)/(-28)*5. Sort i, 4, 3, u in decreasing order. 4, 3, u, i Suppose 3*l + 4*s + 149 + 103 = 0, 3*l - 4*s = -228. Let m = l + 84. Suppose -200*t + 186*t - 70 = 0. Sort t, 5, m. t, m, 5 Let c = 498 + -497. Let i = -21 + 25. Sort i, -7, c. -7, c, i Let q(x) = x**2 - 9*x. Let b be q(10). Suppose 3*z - 8*z + b = 0. Sort z, 4, 7, 3 in ascending order. z, 3, 4, 7 Let g be 91/65*5 + -6. Let l(w) = w + 19. Let p be l(-15). Let k(f) = f**3 + 3*f**2 - 3*f + 1. Let a be k(-4). Sort -1, p, g, a in decreasing order. p, g, -1, a Let d = 14/5 + -123/35. Let s = 1389 + -15277/11. Sort 0.1, s, -2, d in descending order. s, 0.1, d, -2 Let b = 112 + -114. Let l = -42 - -21. Let v = l - -17. Sort v, b, 0.3 in decreasing order. 0.3, b, v Let b = 415 + -412. Sort -4, 7/4, b in decreasing order. b, 7/4, -4 Suppose 25*m + 30 = 80. Put -1, -8, m, -9 in descending order. m, -1, -8, -9 Let d be -290*7/2 - (-318)
{ "pile_set_name": "DM Mathematics" }
95. Let y = o - -0.099. Let z = -21 - y. Put 1/4, 0, z in descending order. z, 1/4, 0 Suppose 0 = m - n - 1, 27*m - 2 = 29*m - 4*n. Sort 2, m, -3. -3, 2, m Suppose 0 = -2*s - 3*h + 47, -5*s - 28 = 3*h - 132. Put 5, s, 4 in ascending order. 4, 5, s Let s = 24 - 120. Let g = s + 92. Put g, 5, 0.3 in descending order. 5, 0.3, g Let z be 2/(-2)*(46 + -45). Sort -4, z, -5 in increasing order. -5, -4, z Let b = 145.2 - 145. Sort -2, b, 13 in descending order. 13, b, -2 Let f(a) = 2*a**3 - 53*a**2 - 21*a - 162. Let m be f(27). Let x(n) = n**3 + 5*n**2 - 8*n - 9. Let j be x(-6). Sort -5, m, 5, j in increasing order. -5, m, j, 5 Let w = 443 - 438. Put -3, 234, w in increasing order. -3, w, 234 Let z = 1122 + -1125. Let i = 19/4 - 107/20. Put z, -5, i in decreasing order. i, z, -5 Let h = 137 + -135. Sort -1, -4, h, 15 in descending order. 15, h, -1, -4 Suppose -8 = 21*z - 13*z. Sort -4, z, -3, -19. -19, -4, -3, z Let b(i) = i. Let z(n) = 6*n**2 + 5*n. Let x(k) = 4*b(k) - z(k). Let j be x(-1). Suppose 0 = -3*d - u + 4, -d - 4 = -6*d + u. Put d, 4, j in decreasing order. 4, d, j Let n = 61 - 42. Let h = n - 18.9. Sort 8, h, 3. h, 3, 8 Let j be -124*(-5)/(-1160)*3. Let w = j + 3/29. Let f = 12/25 - -14/75. Sort w, -2/3, f in increasing order. w, -2/3, f Let y be (964/54)/(2/(-15)) - -2. Let n = y + 132. Put -1.2, n, 4 in descending order. 4, n, -1.2 Let l = 2.099 - -0.001. Let q = 36.9 + -44. Let c = q + l. Put 4, 2/19, c in decreasing order. 4, 2/19, c Let t = 43/66 + -5/33. Let k = -0.73 + 0.7. Sort t, k, -0.1 in descending order. t, k, -0.1 Let f = -488 + 486. Sort 63, 2, f in descending order. 63, 2, f Let g be (-42)/((-8 - -3)/5). Let h = g + -46. Put h, 3, 12 in descending order. 12, 3, h Let z = -60 + 59.76. Let a = z - -0.44. Sort -1/5, a, 0.1, 3/4 in decreasing order. 3/4, a, 0.1, -1/5 Let c be (-3 - (-1197)/75)*-10. Let l = -130 - c. Let k = 4.1 - 0.1. Sort k, l, 0 in ascending order. l, 0, k Suppose l + 0 = 4. Suppose 45 = -l*d - d. Let j = d + 3. Sort -1, j, -5 in descending order. -1, -5, j Let d be (5 + -1)*1 - 7. Sort 1, 10, d. d, 1, 10 Suppose -525 = -2*t + 7*t. Let x = t + 124. Sort x, 0.5, 0.2 in increasing order. 0.2, 0.5, x Let o = -6 + 11. Suppose 3*b - 2*g = -23, 861 - 858 = -3*b - 3*g. Put 3, b, o in decreasing order. o, 3, b Let a = -45 - -47. Let p be (1 + -1)/(11/(-11)). Sort p, 3, -2, a in ascending order. -2, p, a, 3 Let d = 21 + -21. Let t = 3.6 - 1.4. Let j = t - 2. Sort -0.2, d, j. -0.2, d, j Suppose 3*j = -5*j + 72. Let t(b) = b**3 + 7*b**2 - b - 2. Let p be t(-7). Suppose p*a - 4*a + 5 = 0. Put j, 1, a in descending order. j, 1, a Let b(n) = -17*n - 11. Let j be b(-2). Let f = j - 24. Let y = -2 - -2. Sort f, 2, y. f, y, 2 Suppose 317 = -z + 322. Sort 12, z, 3. 3, z, 12 Let u be (-6)/((108/8)/9). Let d = -0.17 - 13.83. Put u, -0.2, d in increasing order. d, u, -0.2 Let k = -0.087 + 0.297. Sort k, 1, -0.2, -2/17 in increasing order. -0.2, -2/17, k, 1 Let h be 4/20*(-4 + -1). Let f be (-17)/3 - 4/(-6). Put h, f, -0.3 in descending order. -0.3, h, f Suppose -4*j + 5 - 13 = 0. Sort -7, j, -5, -3 in increasing order. -7, -5, -3, j Let l = -1 + 6. Suppose j = -2*z - 4 + 7, 0 = -l*z + j + 11. Sort 0, -5, z, -3. -5, -3, 0, z Let s(w) = -w**3 + 6*w**2 - 4*w - 3. Let v be s(5). Let n be -33 + 25 - (-2 + -10). Suppose -y - 2*y - 6 = 0. Put v, n, y in decreasing order. n, v, y Let k(t) = -t**2 + 40*t - 298. Let w be k(10). Sort w, 4, -6, -5 in decreasing order. 4, w, -5, -6 Suppose -z - 18 = 5*z. Let u(n) = n**3 + 3*n**2 - 2*n - 2. Let v be u(z). Let l be ((-2)/4)/((-2)/v). Sort l, -5, 0 in decreasing order. l, 0, -5 Let u(x) = x**3 - 12*x**2 + 12*x - 6. Let k be u(11). Let v(i) = -i**2 + 40*i - 164. Let y be v(5). Sort 3, k, y in decreasing order. y, k, 3 Suppose 7*p = 14*p - 91. Suppose -48 = l - p*l. Sort 71, l, 0.2. 0.2, l, 71 Let k = 5 + -2. Let g be 1 + ((-1)/k)/1. Let q be 4/234*(339 + -348). Sort g, q, 5 in descending order. 5, g, q Suppose 5*u - o - 4 = 0, 13*o - 5 = -3*u + 11*o. Sort u, 3, 5, 4 in increasing order. u, 3, 4, 5 Let u = 534/19 + -28. Sort 4, 1/10, u in decreasing order. 4, u, 1/10 Suppose 0*g = g + 5*l + 16, 0 = 3*g - l - 16. Put -1, g, 24, -5 in decreasing order. 24, g, -1, -5 Let g = 0.13 + 40.87. Let u = g + -18. Let i = -22 + u. Put -0.5, 0, i in ascending order. -0.5, 0, i Let a be -2*(-3 - -2)*1. Suppose 1 = -a*z + 43. Let m be 3/(-6) - z/(-18). Put m, -4, 5 in decreasing order. 5, m, -4 Let w = -1451 - -1447. Sort 2/11, -3/10, w in descending order. 2/11, -3/10, w Let y = -0.65 - 0.35. Let o = 43.1 - 43. Sort y, -4, o, -0.1 in ascending order. -4, y, -0.1, o Suppose -9*t = -5*t - 3*k, 0 = 4*t + k. Suppose 2*n - 10 + 4 = 0. Sort -5, t, n, 2. -5, t, 2, n Suppose i + 0*j = j - 5, -4*j = -20. Let k = 60 - 55. Suppose k*b + 0*h = -h - 9, -2 = 2*b + 2*h. Sort i, b, 12. b, i, 12 Let z = 437 - 436.93. Put 0, -0.03, z in increasing order. -0.03, 0, z Let l(g) = -g**2 - 5*g. Let t be l(-4). Let i be (-992)/(-36) + (2 - t). Let u = i + -76/3. Put 2/15, u, 0.06 in increasing order. 0.06, 2/15, u Let i(j) = j + 5. Let d be i(-3). Let m = -701/195 + 45/13. Sort d, m, 0.1 in decreasing order. d, 0.1, m Suppose 0 = 2*l - 3 + 1. Suppose j - 9 = -4*n, 59*j = -3*n + 63*j + 21. Sort -19, l, n in ascending order. -19, l, n Let x be ((-215)/(-54) + -4)*-4. Let c be (-1144)/(-1836) + 4/(-6). Let r = c - x. Put r, 5, 0.1 in ascending order. r, 0.1, 5 Suppose 0 = 3*n - 4*f + 3, 4*n - 2*f - 33 = -27. Put -76, 5, -3, n in descending order. 5, n, -3, -76 Let z be ((-18)/3)/(-2) - -22. Suppose 3*s + z = 10. Sort 6, 2, s. s, 2, 6 Let z(u) = -u - 6. Let x(n) = 5*n + 24. Let c(l) = 2*x(l) + 9*z(l). Let y be c(1). Put -6, y, 2 in ascending order. -6, y, 2 Let p be (-16)/90 + (-4)/(-10). Let d = 30 - 15. Let s = d + -14. Put p, s, -0.5 in descending order. s, p, -0.5 Let u be ((-52)/(-22))/(-2) + -43 + 44. Sort u, 0.32, -2. -2, u, 0.32 Let k = 41 - 48. Let t(y) = -2*y**3 - 3*y**2 - 2*y. Let h be t(-1). Sort h, -5, k, -3. k, -5, -3, h Let q be (9/(-7))/(-1 - 2). Let b = -17 - -20. Sort -2/3, -0.4, q, b in decreasing order. b, q, -0.4, -2/3 Let g(r) = -2*r**2 + r - 1. Let s be g(2). Let l = -11 - s. Sort 1/8, l, -3 in descending order. 1/8, -3, l Suppose -4*l = -3*v + 7, 13*l + 4*v = 9*l. Sort l, 4, 41, 1 in descending order. 41, 4, 1, l Let i = -1.4 - 1.5. Let d = 2.6 + i. Put 5, d, -3/5 in increasing order. -3/5, d, 5 Let m = -39 - 1. Suppose 0*a + 45 = -5*j + 5*a, -2*j + 5*a = 30. Put 0.1, m, j in increasing order. m, j, 0.1 Let m(k) = -k**2 - 7*k - 10. Suppose 0 = 4*n + 113 + 71. Let t = n - -41. Let b be m(t). Sort 5, b, 2. b, 2, 5 Let b = -4 - -4.3. Let v = -0.051 - 5.349. Let i = v + 5.9. Sort 0.2, b, i in descending order. i, b, 0.2 Let v(b) = -b**2 - 5*b + 3. Let l be v(-4). Let d(g) = 3*g - 2*g - 1 - 8. Let x be d(l). Put 0, x, 3 in ascending order. x, 0, 3 Let a = -18 + 21. Let k = -654 + 653. Sort -0.02, k, a in descending order. a, -0.02, k Let d(j) = -2*j - 7. Suppose -19 = 5*y + 6. Let p be d(y). Suppose -p*w + 6*w = 0. Put 1, w, -1 in descending order. 1, w, -1 Let t = -5289/14 + 378. Let c = t + -1/2. Let z = -19 + 19. Put 5, c, z in decreasing order. 5, z, c Let a be -3*1 - 126/(-48). Let c = -111.8 - -112. Put a, -3, c in descending order. c, a, -3 Let a be (114/42)/(6/42). Sort -2, 2, a, 1. -2, 1, 2, a Let y = 288 + -284. Sort 1, -55, y in increasing order. -55, 1, y Let t = -5.96 - 0.04. Let x = t + -5. Let f = x + 16. Put -0.1, f, -1/9 in descending order. f, -0.1, -1/9 Let v be ((-12)/(-72)*-6)/(-2 + -5). Sort v, 1, -4, -3 in decreasing order. 1, v, -3, -4 Let v = 117 - 122. Sort v, 5, 0 in decreasing order. 5, 0, v Let z be 1/2*-10 + 1. Suppose -2*x = x. Suppose -10*j = 3 + 17. Sort j, z, x in ascending order. z, j, x Let k(s) = 2*s - 9. Let h(b) = 3*b + 25. Let w be h(-6). Let x be k(w). Put 1, x, 0 in descending order. x, 1, 0 Let h = 1526.59 - 1526. Put -7, h, -5 in decreasing order. h, -5, -7 Let y = -8 + 20. Suppose 24 = 15*a - y*a. Let k be 2/(3/((-36)/a)). Sort -2, 3, k. k, -2, 3 Suppose 8 = 2*a - 2*c, 5*a - 16 = 4*c - 1. Put a, -82, -3 in increasing order. -82, -3, a Let s(p) = 280 - 280 - p. Let l = 7 + -5. Let j be s(l). Sort 0.3, -0.5, j in increasing order. j, -0.5, 0.3 Let v be ((-4)/16)/((-22)/(-1
{ "pile_set_name": "DM Mathematics" }
t, x? -3/4 Let g = -1.8 + 2. Let v = 0.1 + -0.1. Let x = 24/7 + -27/7. What is the closest to v in x, g, -2? g Suppose 0 = 16*i - 21*i - 165. Which is the nearest to i? (a) 5 (b) 3 (c) -5/4 c Let i be (18/56)/((-204)/(-238)). What is the nearest to 1 in -2, -1/3, i? i Let a be (2/6)/(-1 - 2/12). What is the nearest to 0.1 in -6, a, -1? a Let q = 3 - 73. Let i = 107 + q. Let s = i - 36. What is the nearest to 1 in -0.2, s, -3? s Let o = 0 + -5. Let i be 134 + 2/(-2) + -1. Let y = i - 130. Which is the nearest to y? (a) 1/7 (b) o (c) -0.5 a Let m = 67.1 - 67.3. What is the closest to m in -5, -46, 4? 4 Let h = -29/30 + 13/10. Let j be (-3)/(-18)*4*1. Let n be (-7)/(-4) + -3 + 1. Which is the closest to -1? (a) h (b) n (c) j b Let l = -0.95 - 0.05. Let q = 4.1 - 0.1. Which is the closest to 0.2? (a) l (b) q (c) -5/2 a Suppose -6*p = -p. Let o(n) = n + 8. Let f be o(-5). Suppose -3*z + 6*j = f*j - 3, 0 = 4*j + 4. What is the closest to p in z, -1/7, 3/2? z Let o = 0.06 + 1.44. Let r = o - -0.5. Let u = -0.165 - -0.065. Which is the nearest to r? (a) u (b) -3 (c) 5 a Let n = 27.77 + -0.77. Let t = 24 - n. Which is the nearest to -1? (a) 2/5 (b) t (c) -6 a Let z = 2.5 - 14.5. Let w = -22 - -22.2. Let s be (6/(-8))/((-21)/8). What is the closest to z in -1, s, w? -1 Suppose 28 = 18*t - 4*t. Which is the nearest to 0.2? (a) t (b) -2/89 (c) -2 (d) -3/7 b Let h = -0.067 + -50.933. Let k = h + 52. Which is the nearest to 0? (a) -2/31 (b) -2 (c) k a Let t = 4988/57 - 115519/1330. Let d = -79/105 - t. Let l = 2/21 - d. What is the closest to 0.1 in 6/11, 3, l? 6/11 Let n(c) = 3*c - 22. Let x be n(6). Let y = 0.6 + -2.6. Let j be (-24)/60 + (-18)/(-15). What is the closest to 0 in y, x, j? j Let h be -8 - -3 - -6 - (-3)/(-12). Which is the nearest to 2/19? (a) h (b) -1/4 (c) -4 (d) 5 b Let v = 256 + -256.3. Which is the closest to 1? (a) 13 (b) -2 (c) -4 (d) v d Let h = -62 - -59. What is the nearest to -2/13 in 0, h, 0.7? 0 Let f = -3.432 - -0.432. What is the nearest to 0.3 in 0.1, f, 4/3? 0.1 Let i(j) = 2*j**3 + 3*j**2 - 5*j - 3. Let q be i(-2). Which is the nearest to 0? (a) q (b) 12 (c) 0.5 (d) -0.2 d Let z be (1 - -1)*24/(-16). Let n be z + 4 + (-6)/4. Which is the closest to n? (a) 1/2 (b) -4 (c) -2/7 c Let t = 2 - 3. Let m = 1279/28 + -177/4. Let y = m - 16/21. What is the closest to -3 in y, t, 1/4? t Let o = 0.0988 - -2.9012. Which is the nearest to 0.3? (a) -8 (b) -0.2 (c) o (d) 2/11 d Let z = -0.83 - -0.03. Let u = z + 1.8. What is the nearest to u in 4, 4/9, 1/2? 1/2 Let u be -2 + 4 + 18/12*-4. What is the closest to -1 in u, -0.01, 5? -0.01 Let k(i) = i - 18. Let g be k(11). Let h(s) = -s**2 - 6*s + 7. Let t be h(g). Which is the nearest to t? (a) 1/3 (b) 0 (c) -1/6 b Suppose 0*y - 3*s - 12 = 3*y, -2*y = -4*s + 8. What is the closest to -1 in y, -0.5, 3/5? -0.5 Let h = 1373 + -1369. Let i = 0.15 + -0.05. Which is the closest to 1/3? (a) 0.3 (b) h (c) i a Let y = -549 + 546. Which is the closest to 0.1? (a) 5 (b) y (c) -0.4 (d) 8/7 c Let s = 4 + 1.3. Let y = -5.2 + s. Let h be (-2)/(-12) - (-1)/(-2). What is the nearest to 2 in h, y, -2? y Let l = -18 - -89/5. Let y be 12/(-21) + (-28)/147*-3. What is the nearest to y in 0.4, 0.18, l? 0.18 Let x be (1 + -3 - -3)*3. Let l = 14 + -13. Which is the nearest to l? (a) -2 (b) x (c) 0.1 c Let s = 2.1 + -2. Let d = 1835 - 1835.5. What is the closest to 1 in 1/2, s, d? 1/2 Let p = -1.38 + 1.18. Let u = -45/133 + 1/19. Let h = 0.2 - -1.8. Which is the closest to p? (a) u (b) -2/5 (c) h a Let x be (-2)/9 - 4/(-18). Let i be (-21)/(735/2)*7. What is the closest to i in 2/9, x, 5? x Let n = -1.9 - -39.9. Let h = -38.02 + 0.02. Let b = h + n. What is the closest to 3 in -2/9, b, 1/7? 1/7 Let n = 0.2 - 0.3. Let q = 0.367 - 22.067. Let l = 22 + q. What is the nearest to n in -4, l, -2/11? -2/11 Let y(k) = 3*k**2 - 12*k + 1. Let d be y(0). Let x = 4.09 - 0.09. What is the nearest to 1 in -3, d, x? d Let j = 0.004 - 29.004. Let h = j - -28.9. What is the closest to h in 3/5, -0.5, 5? -0.5 Let w = 4 + -3.7. Let y = w + 0.2. Let a = -1830 - -5491/3. What is the closest to a in -0.4, y, 0.8? y Suppose -k + 6 = -3*j, 22*k = 2*j + 24*k - 4. Let r = -1 + 3. Let b = -3 + r. What is the nearest to j in -5, 1, b? b Let o be ((-2)/7)/(45/(-672)). Let g = o + -18/5. Suppose s = 2*p - 1, -2*s = -4*s - 2. Which is the nearest to -0.2? (a) -1/2 (b) g (c) p c Let u = 27.2 + -0.2. Let w = -0.0383 - 21.9617. Let f = u + w. Which is the closest to 0? (a) 2 (b) -0.1 (c) f b Let l = -2.09 - -0.19. Let z = -1.5 - l. What is the closest to -1/4 in 3, -0.01, z? -0.01 Let y = -3605 + 3603. Suppose -s - 3*s = -8. What is the nearest to 0.1 in -1, y, s? -1 Let j = -697 + 697.1. What is the closest to j in 4, 5/68, 3/7? 5/68 Let k be 7/21*3/(7 - 4). Which is the closest to 0.1? (a) -0.3 (b) -91 (c) k c Let o = 21 - 36. Let l = o - -11. Which is the nearest to 2? (a) -1 (b) l (c) 1 c Let v = -72 - -74. Suppose 0 = 3*p - v*r - 0*r + 8, -5*r = -20. Let j be ((-3)/12)/((-1)/2). Which is the nearest to p? (a) -0.1 (b) 0.2 (c) j a Suppose 0 = 2*t - 2*p + 8, 2*p + 1 = -3*t + 9. Which is the nearest to t? (a) 2 (b) -0.3 (c) -1/3 b Let s = -0.83 + 1.33. What is the closest to 1 in -0.1, s, 3/4? 3/4 Let l = 32159 + -161487/5. Let p = l - -138. What is the closest to p in -2/5, 0.4, -5? -2/5 Let u(d) = -5*d + 6. Let g be u(4). Let i = -76 - -79. Which is the closest to -1? (a) g (b) 1/3 (c) i b Let w = -23.15 + 23.35. What is the closest to 2/3 in -8, -3, w? w Let x = -20.6 + 20.5. What is the closest to x in -3/4, -5, 15? -3/4 Let x = -1411.1 + 1411. Let a = 5 - 4.4. Let r = -0.1 + a. What is the nearest to x in 2, 3, r? r Let h = -167/4 - -85/2. What is the nearest to 0 in h, -11, -4? h Let d = 81 + -81.23. Let y = -0.27 + d. Suppose -v = -0*v - 2. What is the closest to 2 in y, 3, v? v Let x = -8 - -13. Let t = 0.107 - 5.107. What is the nearest to -0.03 in t, 3/2, x? 3/2 Let t = 3.7 + -0.7. Let o = -1125 + 4503/4. What is the nearest to 3 in t, o, 4? t Let q = -3 + 2.8. Let i = 0.741 + 1.259. What is the nearest to i in 3/2, q, 3? 3/2 Let t = -5.2 + 0.2. Which is the closest to 1? (a) -1 (b) t (c) -2 (d) 18 a Let q = 4.256 - 0.256. Suppose p = -0*l + 2*l + 3, 0 = l + 2. Which is the closest to 0.1? (a) -0.4 (b) p (c) q a Let y be 2/5 + 132/20. Let u be y/(-15) + (-2)/(-6). Let m = 1.5076 + -5.5076. Which is the nearest to -2/7? (a) u (b) -3 (c) m a Let b = 6.22 + -1.12. Let w = 0.1 - b. What is the nearest to 0.1 in w, 0.4, 1/5? 1/5 Let h = 3 - 2.6. Let d = -0.0436 - 167.4564. Let q = 168 + d. What is the closest to 0.1 in h, 5, q? h Let f = 8.032 - 0.032. Which is the nearest to -11? (a) 1 (b) 2/5 (c) f b Suppose w = -330 + 333. Let x = 14/3 - 4. What is the nearest to x in -1, 0.05, w? 0.05 Let y be 33/(-7) - (9 - (-366)/(-42)). Which is the nearest to 1? (a) -2/11 (b) 1/3 (c) y b Suppose 19*d - 16 = 17*d. Let o be 6/8*d/10. What is the closest to 0 in o, 4, 0.2? 0.2 Let n = 41 - 29. Let o = n - 12.1. Let r = 9 + -4. Which is the nearest to 0.1? (a) o (b) -0.3 (c) r a Let l = 14.15 - 13. Let p = -0.85 - l. Which is the closest to p? (a) -0.4 (b) -6 (c) 0 a Let g = -77/10 + 15/2. Let r = -292 - -292.2. What is the closest to 4 in g, -1, r? r Suppose 3*s = -j + 4, -j = -6*j + 4*s + 58. Let r be 15/(-1263)*4/j. Let u = -820/4631 + r. What is the closest to -1 in 0.4, u, -2/7? -2/7 Let j = -217/45 + 23/5. Let f = j - 4/9. Let k = -271 - -271. What is the closest to 0 in f, -2/11, k? k Let f = -1 + 0.8. Let w be (4/84)/((-2)/(-6)). Let y = 163 + -163. What is the closest to 7 in f, w, y? w Let m = 0.0769 + -0.1469. Which is the nearest to 7? (a) -3 (b) m (c) -5 b Suppose n - 32 = -5*q - 104, -4*n - 3 = q. Let j be -11 - q - (-16)/(-6). Let y = 0 - -4. What is the closest to 0 in 1, j, y? 1 Let h = -4/41 + -13/287. Let q = h - -10/21. Let l = 0.29 - 0.59. What is the closest to q in -2/17, l, 3? -2/17 Let d = 0.279 + -0.079. Let w be (1/(-6))/(9/(-12)). Which is the closest to -4? (a) d (b) -1/5 (c) w b Let h be ((-3)/(-2))/((-111)/74). Let g = -179/1794 + 1/78. Let j = 2 + -3. What is the closest to h in j, g, -4? j Let o be (-16)/(-32)
{ "pile_set_name": "DM Mathematics" }
s the value of (-5)/2*16/(-36)*(1023/(-6665))/(-11)? 2/129 What is ((-1120)/77)/(410/2255)? -80 Calculate (5/(-55))/(754/(-20735)). 5/2 (2915/(-1166))/(-2*(-2)/(-152))*2/(-5) -38 Calculate (-135)/(-10)*(-448)/(-9072). 2/3 Evaluate (425/(-102))/((-1)/2)*(1/1)/(-10). -5/6 Evaluate (-10)/(-32)*50/3000*1968. 41/4 What is ((-20)/(-6))/((-624)/(-9360))? 50 Calculate (6/27)/((-35244)/26433). -1/6 Evaluate ((-54648)/48)/(-69)*4*(-3)/6. -33 What is (3/10)/((-184)/97520*-901)? 3/17 What is (98/(28/4))/((-88)/11)? -7/4 Calculate (1744/134724)/((-6)/9). -2/103 Calculate 110/3465*9*4/(-16). -1/14 Calculate ((-9)/5)/1*(-1271)/(369861/13095). 81 What is the value of (21/(-56)*2)/(-2*(-7)/(-56)*-42)? -1/14 What is the value of (10/(-112)*2)/((-4)/36*(-4350)/(-928))? 12/35 ((-44)/110)/(((-320)/(-550))/16)*2 -22 What is the value of ((8520/2982)/((105/6)/7))/((-40)/(-266))? 38/5 What is the value of 9*(-63)/(-36)*12/189? 1 Calculate 240/96*(-12)/(-2000)*-5. -3/40 Evaluate 14/(-4)*11308/2827. -14 Calculate ((-105)/10)/(7/((-49)/21)*19/228). 42 Calculate (-238600)/(-5965)*(6/4)/(-1). -60 Evaluate 10/(123/((-431730)/(-325))). 108 Calculate (46*(-100)/(-19550))/((-8)/((-20)/(-5))). -2/17 Calculate 9*(-1)/(-21)*307685/2235. 59 What is the value of 6/8*(-404)/4242*30? -15/7 Evaluate (-48)/780*-30*6/(-8). -18/13 What is the value of ((-179)/((-72853)/(-2220)))/(2/11)? -30 What is (-16)/(-64)*(-19)/((-95)/(-320))? -16 What is 2080/(-8320)*(-3)/(-6)? -1/8 What is the value of ((-209)/(-1824)*4)/(2/(-4))*80/60? -11/9 Evaluate (1/(1/12))/((1110/90)/(-37)). -36 What is (-1995)/(-95)*(-966)/441? -46 Evaluate (2943/436)/((-630)/(-40)). 3/7 What is the value of (21/6*62/(-62))/(-5)? 7/10 What is ((-285)/18240*-576)/(1*3/(-29))? -87 Evaluate 18/(-22)*66913/2607. -21 Evaluate (-12)/(-40)*(7040/45)/(-11)*(-45)/(-9). -64/3 Calculate (1716/(-16))/(-11)*(-1)/(24/64). -26 What is (12/616)/(22/(572/(-39)))*1? -1/77 15/(3*(4/6)/(26/13)) 15 (19/114)/(4/(-16))*(-3)/26*-3 -3/13 What is -4*(-19)/(1064/(-14))*-67? 67 18/14*((-143682)/10395)/311 -2/35 What is (-7*45/105)/((-30)/(-30))? -3 What is the value of (1180/(-11800))/(2/4*6/48)? -8/5 What is 248/(-620)*-5*5/(-2390)? -1/239 Calculate (((-6)/3)/((-6)/5))/(155/2418). 26 Calculate (9/(-9)*(-13)/3)/((-13)/117). -39 What is ((8/(-54))/((-388)/(-291)))/(65/10)? -2/117 Calculate (-51210)/11949*(126/((-3)/(-1)))/5. -36 Evaluate (225/(-25))/(13/(-338)*(-5)/((-25)/30)). 39 87/(((-1086)/(-1629))/(2/(-9))) -29 What is the value of ((30420/4446)/65)/(((-13)/2)/(1/(-2)))? 2/247 What is the value of ((-12)/(-20))/(24/336*(-30)/(-5))? 7/5 What is ((-17)/(-12))/(14/(-448)*-8)*75/25? 17 Calculate ((-8736)/468)/8*(1830/(-7))/5. 122 Calculate (((-19435)/(-92))/65)/((-4)/(-16)). 13 Calculate (-4494)/(-107)*2024/1932. 44 Calculate (-6768)/(-705)*-5*(-2)/((-12)/(-3)). 24 Evaluate ((-18)/(1/((8/(-28))/2)))/((-521)/14588). -72 What is the value of (-4256)/(-168)*1/1*510/(-136)? -95 What is the value of (224/((-736)/23))/(50/1000)? -140 Calculate ((2/20)/((-19)/2394*-21))/(81/60). 4/9 1173/(-1449)*(315/238)/(-15) 1/14 What is the value of (2/4)/((1/((-208)/(-7839)))/((-693)/(-308)))? 2/67 (-112)/14*(-115)/(-23) -40 (((-2)/(-7))/(37/518))/(12/(-30)) -10 Calculate (11/(-22))/((-9)/18)*24/28. 6/7 What is the value of ((36344/32)/(-59))/(238/816)? -66 What is the value of (2/(-6)*2/(24/524))/((-29770)/267930)? 131 Evaluate ((-5600)/15)/(-10)*((-6)/(-14))/(42/147). 56 (95/475)/((-2*(-5)/(-645))/((-20)/6)) 43 Calculate 18/(-45)*(-3100)/(-20)*(-1)/(-2). -31 What is ((-23868)/(-29835))/(((-2864)/20)/2)? -2/179 What is the value of (27/(-30)*(-740)/(-24))/(669/(-892))? 37 Calculate ((-9506)/1029)/97*10815/(-10). 103 What is the value of (152/798)/(72/(-36))? -2/21 Calculate 9*(((-8)/(-2))/(-16))/(-1*36/(-624)). -39 What is 2/((-10)/1)*(-26000)/1300? 4 Evaluate (-423)/((-20)/((-380)/171)). -47 Calculate 1/((299/(-46))/((-2)/(20/25))). 5/13 What is (((-375)/(-6))/(-5))/(119/476)? -50 ((-378)/2016)/(-5*(-12)/8) -1/40 1*(-2)/8*(4/(-11))/(310590/32538) 1/105 Evaluate 1100/440*(-7)/((-70)/376). 94 Calculate ((-1700)/(-3978))/((-540)/(-2808)). 20/9 Evaluate (-80)/32*33/((-4455)/(-4482)). -83 What is ((6/(-144))/(2/(-27)))/((-258)/20984*-61)? 3/4 Calculate -25*34/(-15300)*10/1. 5/9 Calculate 11/(77/84)*(352/(-297))/16. -8/9 Calculate ((-72561)/(-38))/((-22686)/(-796)). 67 Evaluate (-115022)/517599*6/5*(-10)/2. 4/3 Evaluate (598/78)/(8/(-3)*24/(-192)). 23 (25119/41865)/(1/(-290)*2) -87 Calculate ((-12)/14*(-9)/(-18))/(-10*11/(-70)). -3/11 What is (111/(-481))/(6/(-4))? 2/13 Calculate 18/18*56644/(-578). -98 What is the value of -12*266/56*(3/((-81)/(-6)))/(-3)? 38/9 Evaluate (-28*(-9)/(-29484)*13*-1)/((-56)/(-6)). 1/84 Calculate (1/(5/50))/(80/(-80)). -10 What is 20/416*-13*(-6)/70*42/63? 1/28 Calculate 1*(-42)/(-72)*(12/10)/(28/(-105)). -21/8 Evaluate (((-1)/(-804))/(51/7344*48))/((-1)/(-4)). 1/67 Calculate 34/(-5)*44/((-3256)/(-185)). -17 ((-1224)/(-17))/(((-210)/(-4))/7)*1/(-4) -12/5 Evaluate (1634/392977)/((-4)/13). -1/74 What is 14*(-111)/2849*245/196*(-2)/15? 1/11 What is the value of ((-54)/3132*0)/(-10)? 0 2*((-27)/9)/((-9)/108*(-12)/6) -36 What is the value of 7/(65/585*-54)? -7/6 Calculate ((111/(-592))/((-55)/(-10)))/(15/60). -3/22 ((16878/(-97))/29)/(1/11) -66 Evaluate ((-17)/(-3))/((-2)/(-12))*26/(468/(-18)). -34 What is ((-666)/2664*(-48)/(-99))/((-4)/6)? 2/11 ((-14)/(70/55))/(-15)*(3*-8)/4 -22/5 (1/(-9)*177/11741)/1*-6 2/199 What is (-4712)/(-5890)*-5*(-109)/(-4)? -109 Calculate (-960)/448*(-1456)/(-192). -65/4 What is (((-63)/(-18))/7)/(2*17/(-1700))? -25 Evaluate ((384/28)/2)/(24*(-38)/(-3192)). 24 What is (56/(-9))/(((-52)/(-91))/(6*6/126))? -28/9 3*5/(-24)*251/((-21335)/204) 3/2 (1/5)/(((-80)/(-10))/760*-4) -19/4 What is (-5*17)/((-10)/(3060/(-34))*-9)? 85 Evaluate (2/8*(-6)/30*5)/(17/8). -2/17 Evaluate ((-94)/94)/((135/(-657))/15). 73 What is 61/1647*-45*54/(-4)*(-8)/(-10)? 18 Evaluate 191666/10195*(-55)/22. -47 ((10/5)/(-2))/((-10)/(960/3)) 32 Evaluate ((122/40)/(1/4))/(24/1680*14). 61 Calculate (-7*(-44)/(-1925))/(7/210). -24/5 What is the value of (6*260/90)/((12/9)/1)? 13 What is 4347472/97696*2/1*2/(-2)? -89 ((-5)/24)/(-1)*(-24)/(-240)*-4 -1/12 Evaluate ((-15)/((-225)/10))/((-152)/7752). -34 Calculate ((-42)/7)/3*(-461)/14291. 2/31 (276/460)/(((-108)/810)/((-3)/63*2)) 3/7 What is (-374)/(-748)*4*170/(-4)? -85 Calculate (-99)/18*476/34. -77 Calculate 1*402/6*((-2)/8)/(178/712). -67 Calculate 5/(-8)*-18*((-64)/2016)/((-15)/270). 45/7 Evaluate 42/4*((-10)/4)/((-2445)/(-5868)). -63 What is the value of (2/18)/((6/(-702))/(66/(-5577)))? 2/13 ((-168)/30)/((-389)/1945) 28 What is the value of (4/86)/(1*66/33*-1)? -1/43 Evaluate (-188)/(((29568/80)/154)/(9/(-5))). 141 Evaluate ((-770)/(-630))/((-33)/279). -31/3 What is (-10)/(-42)*(-32970)/(-25905)*(-3)/(-55)? 2/121 What is ((14927040/(-432))/284)/((-3)/((-18)/10))? -73 Calculate (-3*(-4)/10)/(560/700*(-10)/4). -3/5 What is 1/(-3)*1*(12/(-8))/(37/(-222))? -3 ((-40)/15)/((-688)/258)*68/(-8)*2 -17 What is the value of (20/200)/((-47)/1034*(-1)/(-2))? -22/5 What is 1*-4*(362700/200)/117? -62 What is the value of (135/((-8100)/24))/((-5)/((-50)/124))? -1/31 What is the value of (165/(-66)*4/(-25))/((320/50)/(-8))? -1/2 What is the value of (64/256*-3*2)/(84/88*1)? -11/7 (-2)/(-6)*(-72)/64*-16*(-2)/(-7) 12/7 What is the value of ((-12636)/(-3510))/((-21)/(-5))? 6/7 ((-2)/4)/(-93*306/(-455328)) -8 What is the value of (-351)/(-54)*(-6)/(17/((-765)/27))? 65 Calculate (-14)/34*34731/6129. -7/3 What is the value of ((1088/187)/(-16))/((-16)/1936)? 44 What is -10*18/(-15)*(-14)/16*250/1225? -15/7 What is the value of ((-222)/(-45))/(48*(-6)/(-720))? 37/3 Evaluate 44*-3*(-7105)/(-12180). -77 Calculate (44262/(-86065))/(6/(-20)). 12/7 Evaluate (404/(-707))/(((-124)/(-2883))/((-42)/9)). 62 Evaluate (1/148)/(((-3)/(-81))/(-94*97/(-41031))). 3/74 (6/27)/(1630/51345) 7 What is the value of (-3464)/(-24248)*13/1? 13/7 What is ((-16)/420)/(17/((-1190)/20))? 2/15 Calculate ((-5)/(-8))/(79/33180*150). 7/4 Evaluate (74368/249)/112*1/(-4). -2/3 (((-2)/28)/(56/112))/(140/(-8680)) 62/7 ((-268)/(-1340))/(2/700)*((-16)/(-130))/4 28/13 Evaluate (-53)/(4*1*(-483)/3864). 106 What is (69/((-55407)/146))/2? -1/11 Evaluate -9*1248/(-351
{ "pile_set_name": "DM Mathematics" }
w(l) = 2 + 1 - 2*l - k. What is w(u(d))? 8*d**2 Suppose -4*b + 10 = 2. Let u(r) = -b*r**2 + r**2 + 2*r**2. Let w(x) = -6*x**2. What is w(u(v))? -6*v**4 Suppose 2*t = d + 8, -3*t + 0*t + 12 = 4*d. Let b(w) be the second derivative of 2*w + 0 + 1/4*w**4 + 0*w**3 + d*w**2. Let x(a) = 3*a**2. What is x(b(k))? 27*k**4 Let r(k) = 6*k**2. Let v(d) = -677*d. Calculate v(r(t)). -4062*t**2 Let s(d) = -132*d**2 - 2*d. Let r(l) = 2*l**2. Give s(r(a)). -528*a**4 - 4*a**2 Let t(p) = -2*p. Let a(s) = 4*s**2 - s**2 + 0*s**2 + 6*s**2. Give a(t(i)). 36*i**2 Let s(j) = 4*j. Let t(d) = -d + 1. Let r be t(-1). Let v(p) = -r*p**2 - p**2 + 4*p**2. Give v(s(h)). 16*h**2 Let x(a) = 10*a**2. Let d(j) = -156*j. Give x(d(i)). 243360*i**2 Let y(l) be the second derivative of l**7/840 - l**4/6 + 2*l. Let a(t) be the third derivative of y(t). Let j(z) = z**2. Calculate j(a(u)). 9*u**4 Let u(c) = 7572*c**2. Let m(t) = -t**2. Calculate m(u(v)). -57335184*v**4 Let z(t) be the first derivative of 0*t**2 - 2/3*t**3 + 5 + 0*t. Let y(p) = -2*p**2. Calculate y(z(q)). -8*q**4 Let w(z) = 9*z**2 - 2*z**2 + 4*z**2. Let u(c) = 1. Let a(l) = -l + 1. Let f(r) = a(r) - u(r). What is f(w(n))? -11*n**2 Let h(l) be the second derivative of l**6/180 + l**3/2 - 3*l. Let g(a) be the second derivative of h(a). Let n(q) = -2*q + 0*q + 0*q. Give g(n(w)). 8*w**2 Let n be ((-8)/(-24))/(1/9). Let h(o) = -4*o + o + o + n*o. Let b(m) = -13*m. Determine b(h(j)). -13*j Let l be 12/(-8)*(-4)/3. Let h(m) = -m**2 + 4*m**l - 5*m**2 + 3*m**2. Let k(b) = -10*b. Calculate k(h(p)). -10*p**2 Let z(y) be the third derivative of -y**5/60 - 2*y**2. Let a(u) be the first derivative of 3*u**2/2 - 7. Determine a(z(f)). -3*f**2 Let s(a) = 2*a. Let w(f) = -139*f**2 - f. Give s(w(i)). -278*i**2 - 2*i Let l(q) be the first derivative of q**2 + 1. Let o(z) be the first derivative of 2*z**3/3 + 6. What is o(l(x))? 8*x**2 Let t(q) be the second derivative of -q**6/360 - q**3/3 + q. Let f(z) be the second derivative of t(z). Let w(m) = -4*m**2 + 3*m**2 - m**2. What is f(w(v))? -4*v**4 Let q(a) = 33*a**2 + a. Let h(i) = -7*i**2. Calculate h(q(k)). -7623*k**4 - 462*k**3 - 7*k**2 Let c(p) = -6*p**2 - 12*p**2 + 23*p**2. Let w(b) = 2*b**2 - b**2 + 0*b**2. What is w(c(v))? 25*v**4 Let r(i) = -4*i. Let n(l) = l. Let s(o) = -2*n(o) - r(o). Let b(f) = 12*f. Determine b(s(t)). 24*t Let q(p) = 36*p**2 - 3*p. Let g(h) = h. What is g(q(z))? 36*z**2 - 3*z Let y(h) = 48*h. Let i(x) = -255*x. Determine y(i(s)). -12240*s Let a(u) = -16480*u**2. Let w(x) = -x. Determine w(a(f)). 16480*f**2 Let n(s) = -s. Let k(j) = -19031*j**2. Calculate k(n(t)). -19031*t**2 Let y(a) = -2*a**2. Let j(p) = -6*p - 11. Let v(c) = 2*c + c - 4*c - 2. Let u(h) = 2*j(h) - 11*v(h). Calculate u(y(q)). 2*q**2 Let d(c) = c**2 - 23. Let v(k) = -2*k. What is v(d(f))? -2*f**2 + 46 Let a(i) = -5*i**2. Let z(q) = 2659*q. Give z(a(b)). -13295*b**2 Let v(y) = -18*y**2. Let l(j) = 98*j. Determine v(l(b)). -172872*b**2 Let t(q) = -2*q**2 - 33*q + 30. Let y(j) = j**2. Give t(y(x)). -2*x**4 - 33*x**2 + 30 Let r(c) = -c**2. Let f(i) be the third derivative of i**7/630 - i**4/6 - i**2. Let w(g) be the second derivative of f(g). Give r(w(k)). -16*k**4 Let h(d) = -d**2 - 1. Let y(v) = 16*v**2 + 10. Let q(m) = -10*h(m) - y(m). Let n(u) be the third derivative of u**5/60 + u**2. What is q(n(x))? -6*x**4 Let s(a) = 3*a - 8*a + 4*a. Let b = 8 + -6. Let p(k) = -2*k**b - 2*k + 2*k. Determine s(p(x)). 2*x**2 Let d(n) = -38*n**2. Let q(a) = -620*a. Determine q(d(s)). 23560*s**2 Let v(t) = 2*t**2 + 4. Let p(m) = m**2 + 1. Let u(q) = -4*p(q) + v(q). Let o(c) = 2*c. Calculate u(o(w)). -8*w**2 Let o(r) be the first derivative of 3*r**2/2 + 10. Let z(x) = -5. Let a(l) = l**2 + 4. Let n(g) = -5*a(g) - 4*z(g). Calculate n(o(t)). -45*t**2 Let q(o) = o**2. Let h(z) be the second derivative of 5*z**4/12 - 24*z. Give q(h(k)). 25*k**4 Let u(r) = -7 - 2*r**2 - 1 + 8. Let p(x) = 9*x. Determine u(p(n)). -162*n**2 Let m(b) be the third derivative of 0 + 0*b + 0*b**3 - 1/60*b**5 + 9*b**2 + 0*b**4. Let i(w) = -6*w. Calculate i(m(s)). 6*s**2 Let k(o) = 11*o. Let s(v) = 457*v**2. Give s(k(h)). 55297*h**2 Let v(o) = -2*o**2 - 431*o - 2. Let y(w) = w. Calculate v(y(m)). -2*m**2 - 431*m - 2 Let c(z) = 12*z. Let h(n) = -3*n**2 - 2. Let m(u) = 35*u**2 + 25. Let p(d) = 25*h(d) + 2*m(d). Calculate c(p(x)). -60*x**2 Let o(c) = -2*c. Let k(r) = 1. Let l(z) = -5*z - 10. Let v(h) = 10*k(h) + l(h). Calculate o(v(y)). 10*y Let j(o) = -4*o**2. Let d(b) = -133*b. Calculate d(j(p)). 532*p**2 Let g(a) = -34*a**2 - 1. Let r(y) = -2*y**2. What is g(r(v))? -136*v**4 - 1 Let w(l) = -20*l**2 - 8*l**2 + 44*l**2. Let v(p) = 2*p. Give v(w(z)). 32*z**2 Let p(h) = -7*h. Let z(l) = -3*l**2 + 51. What is p(z(a))? 21*a**2 - 357 Let a(j) = 38*j. Let i(o) = -o**2 + 1. Let x(k) = 2*k**2 - 3. Let w(q) = -6*i(q) - 2*x(q). What is a(w(s))? 76*s**2 Let j(c) be the second derivative of c**5/120 + c**3/2 - 3*c. Let i(g) be the second derivative of j(g). Let r(t) = -7*t. Give i(r(n)). -7*n Let m(c) = -3*c**2. Let k(y) = -2*y**2 - 2*y. Let o be k(-2). Let t(x) = 2*x. Let s(f) = 2*f. Let j = -7 - -10. Let q(g) = j*s(g) + o*t(g). Determine q(m(h)). 6*h**2 Let h(i) = -9*i**2. Let j(x) = 5*x + 206. What is j(h(n))? -45*n**2 + 206 Let k(d) be the second derivative of -8*d**3/3 - 18*d. Let q(c) = -3*c. Determine k(q(m)). 48*m Let z(g) = -2944*g. Let t(s) = s. Determine z(t(n)). -2944*n Let q(x) = -238*x. Let n(w) = -w**2. Calculate q(n(f)). 238*f**2 Let r(q) = -4*q**2 - 3. Let n(i) = -i. Determine n(r(a)). 4*a**2 + 3 Suppose -2*g = -0 - 4. Let r(z) = 0*z - 3*z + g*z. Let a(n) be the third derivative of -n**5/60 - 250*n**2. Calculate r(a(q)). q**2 Let k(r) be the first derivative of -r**3/3 + 104. Let u(p) = p + 11. Let t be u(-6). Let m(s) = 5*s**2 - t*s**2 - s**2. Give m(k(w)). -w**4 Let c(v) = -2*v. Let x(i) = -i + 1. Let m(d) = 10*d - 14. Let r(o) = -4*m(o) - 56*x(o). Calculate c(r(t)). -32*t Let r(q) = -5*q**2. Let p(j) = 541*j**2. Give p(r(v)). 13525*v**4 Let b(n) = -3*n. Let s(u) be the second derivative of -u**5/30 + u**3/3 - 2*u. Let a(l) be the second derivative of s(l). Determine a(b(d)). 12*d Let x(n) = n**2. Suppose -2 = 3*p - 17. Let k(t) = 5*t - 5 + p. What is x(k(i))? 25*i**2 Let d(n) = -89*n**2. Let m(q) = -27*q + 58*q - 29*q. What is m(d(z))? -178*z**2 Let z(u) = -u**2. Suppose -f - 2*c + 2 = 7, 0 = 2*f + 5*c + 14. Let v(b) = -2 + 2 - 2*b + f*b. Give z(v(o)). -o**2 Let g(c) = -c. Let w(u) = u + 23. What is w(g(d))? -d + 23 Let y(j) = -j**2. Let i(h) be the second derivative of h**5/24 + h**3/3 + 2*h. Let g(n) be the second derivative of i(n). Give y(g(z)). -25*z**2 Let f(j) = -2*j**2. Let s(x) = 18*x. Let v(k) = 3*k. Let c(p) = 6*s(p) - 34*v(p). Determine c(f(i)). -12*i**2 Let d(l) = 2*l**2. Let t(q) = -2*q. Let i = -2 + 4. Let v(x) = 5*x - x - x - i*x. Let j(r) = -t(r) - v(r). Calculate j(d(h)). 2*h**2 Let u(r) = 2*r. Let h(a) = 2060*a. What is u(h(f))? 4120*f Let b(v) = -v. Let y = -15 + 17. Let m(q) = q + 0*q + y*q. What is m(b(g))? -3*g Let b(m) = -m**2 - 4. Let c(i) = -i**2 + i. Let a(t) = -8*t**2 + 10*t. Let n(g) = a(g) - 10*c(g). Give n(b(o)). 2*o**4 + 16*o**2 + 32 Let x(s) = 2*s. Let a(y) = 73*y. Let l(i) = -i. Let q(u) = -a(u) - 146*l(u). Determine x(q(z)). 146*z Let h(d) = 36*d**2 + 17*d. Let w(y) = 6*y**2 + 3*y. Let z(u) = -6*h(u) + 34*w(u). Let t(q) = -3*q. Determine z(t(s)). -108*s**2 Let u(j) be the first derivative of 2 + 0*j - 2/3*j**3 + 0*j**2. Let p(n) be the second derivative of -2*n**3/3 + n. Determine p(u(t)). 8*t**2 Let d = -6 + 8. Let p(m) = 1 + d*m - 1. Let j(k) = -5*k. Determine p(j(o)). -10*o Let b(r) = -20*r. Let v(k) = -11*k + 4*k - 2*k**2 + 7*k. What is b(v(f))? 40*f**2 Suppose -2*n - j + 7 = 0, -2*n - 4*j + 15 + 7 = 0. Let u be n/((1/2)/1). Let g(a) = -4 - 3*a**u + 4. Let o(m) = -m. What is g(o(v))? -3*v**2 Let k(q) be the third derivative of q**5/120 + q**3/6 + 3*q**2. Let x(u) be the first derivative of k(u). Let c(b) = -b**2. Calculate x(c(m)). -m**2 Let z(c) = -12*c - 18 + 25*c + 20. Let x(h) = -h. Determine z(x(o)). -13*o + 2 Let s(d) = -d. Let c(j) = j**2 - j. Let z(r) = 9*r**2 - 5*r. Let g(m) = -5*c(m) + z(m). Give s(g(q)). -4*q**2 Let f be (-2 + 5)*2/3. Let x(q) = -5*q**f + q**2 + q - q. Let j(c) = -2
{ "pile_set_name": "DM Mathematics" }
1083. 83, 7001 What are the prime factors of 28436? 2, 7109 What are the prime factors of 56456? 2, 7057 What are the prime factors of 419638? 2, 209819 What are the prime factors of 11292375? 3, 5, 30113 What are the prime factors of 80056? 2, 10007 List the prime factors of 186490. 2, 5, 17, 1097 What are the prime factors of 6382772? 2, 11, 145063 What are the prime factors of 179987? 19, 9473 What are the prime factors of 1453848? 2, 3, 11, 5507 What are the prime factors of 25350455? 5, 13, 67, 5821 What are the prime factors of 1537193? 7, 219599 What are the prime factors of 27881099? 59, 472561 List the prime factors of 28919. 11, 239 List the prime factors of 18017478. 2, 3, 131, 283 What are the prime factors of 1830701? 1830701 List the prime factors of 1309293. 3, 145477 List the prime factors of 19552353. 3, 619, 10529 List the prime factors of 7810235. 5, 19, 4327 List the prime factors of 1068863. 257, 4159 What are the prime factors of 1420275? 3, 5, 29, 653 List the prime factors of 764719. 764719 What are the prime factors of 277660? 2, 5, 13883 What are the prime factors of 2797053? 3, 7, 23, 5791 List the prime factors of 22891619. 223, 102653 List the prime factors of 12755106. 2, 3, 7, 13, 599 What are the prime factors of 159345? 3, 5, 3541 What are the prime factors of 526021? 103, 5107 What are the prime factors of 2355464? 2, 79, 3727 What are the prime factors of 3728858? 2, 7, 83, 3209 List the prime factors of 644660. 2, 5, 32233 What are the prime factors of 365485? 5, 67, 1091 List the prime factors of 699821. 23, 30427 List the prime factors of 17254077. 3, 5751359 What are the prime factors of 2317210? 2, 5, 7, 4729 What are the prime factors of 3107529? 3, 449, 769 List the prime factors of 1110756. 2, 3, 151, 613 List the prime factors of 451296. 2, 3, 1567 List the prime factors of 622021. 29, 89, 241 What are the prime factors of 4032759? 3, 31, 103, 421 What are the prime factors of 10672097? 59, 180883 List the prime factors of 1514312. 2, 73, 2593 What are the prime factors of 32127? 3, 10709 What are the prime factors of 253504? 2, 17, 233 List the prime factors of 4288256. 2, 7, 2393 List the prime factors of 65930. 2, 5, 19, 347 List the prime factors of 337436. 2, 11, 7669 What are the prime factors of 258737? 258737 List the prime factors of 5399704. 2, 31, 21773 List the prime factors of 5464820. 2, 5, 17, 16073 List the prime factors of 479862. 2, 3, 53, 503 List the prime factors of 826305. 3, 5, 31, 1777 List the prime factors of 1201654. 2, 600827 What are the prime factors of 355188? 2, 3, 29599 List the prime factors of 1489532. 2, 11, 97, 349 What are the prime factors of 8267? 7, 1181 What are the prime factors of 19515473? 17, 1147969 What are the prime factors of 1015738? 2, 191, 2659 What are the prime factors of 4024634? 2, 2012317 What are the prime factors of 215657? 13, 53, 313 What are the prime factors of 68690? 2, 5, 6869 List the prime factors of 13566798. 2, 3, 7, 19, 1889 What are the prime factors of 1563815? 5, 11, 28433 What are the prime factors of 34576622? 2, 107, 161573 List the prime factors of 5836735. 5, 1167347 What are the prime factors of 3808369? 71, 53639 List the prime factors of 1132827. 3, 29, 449 List the prime factors of 406913. 13, 113, 277 What are the prime factors of 555348? 2, 3, 46279 List the prime factors of 167588. 2, 41897 What are the prime factors of 16169? 19, 23, 37 List the prime factors of 1743181. 11, 37, 4283 What are the prime factors of 874354? 2, 13, 33629 List the prime factors of 23311252. 2, 19, 306727 List the prime factors of 3093632. 2, 24169 List the prime factors of 8125585. 5, 13, 41, 3049 What are the prime factors of 841729? 7, 120247 List the prime factors of 699977. 293, 2389 What are the prime factors of 3935433? 3, 307, 4273 List the prime factors of 481775. 5, 7, 2753 What are the prime factors of 2289994? 2, 7, 19, 8609 What are the prime factors of 8425409? 1481, 5689 What are the prime factors of 328330? 2, 5, 32833 What are the prime factors of 54143? 29, 1867 List the prime factors of 27942. 2, 3, 4657 What are the prime factors of 64011? 3, 19, 1123 What are the prime factors of 1189057? 1189057 What are the prime factors of 1104665? 5, 220933 List the prime factors of 903989. 43, 21023 List the prime factors of 6824428. 2, 13, 37, 3547 List the prime factors of 1324319. 19, 47, 1483 List the prime factors of 2479433. 11, 17, 13259 What are the prime factors of 17732070? 2, 3, 5, 197023 What are the prime factors of 17571703? 17571703 What are the prime factors of 784891? 89, 8819 What are the prime factors of 2276801? 1213, 1877 What are the prime factors of 2406947? 2406947 List the prime factors of 1483282. 2, 741641 What are the prime factors of 30496489? 30496489 What are the prime factors of 7920266? 2, 17, 281, 829 List the prime factors of 11815015. 5, 1151, 2053 What are the prime factors of 11154456? 2, 3, 113, 457 What are the prime factors of 6901338? 2, 3, 677, 1699 List the prime factors of 19970522. 2, 11, 13, 69827 List the prime factors of 1650535. 5, 29, 11383 List the prime factors of 2537380. 2, 5, 293, 433 What are the prime factors of 7008011? 43, 79, 2063 What are the prime factors of 93121? 7, 53, 251 What are the prime factors of 2701058? 2, 167, 8087 What are the prime factors of 2835530? 2, 5, 283553 List the prime factors of 320119. 320119 What are the prime factors of 665928? 2, 3, 3083 What are the prime factors of 1162089? 3, 129121 What are the prime factors of 39496? 2, 4937 What are the prime factors of 2506218? 2, 3, 11, 13, 23, 127 List the prime factors of 1077210. 2, 3, 5, 11969 List the prime factors of 5168297. 269, 19213 List the prime factors of 202442. 2, 101221 What are the prime factors of 1000429? 1000429 What are the prime factors of 844579? 97, 8707 List the prime factors of 729831. 3, 67, 3631 What are the prime factors of 429639? 3, 7, 41, 499 What are the prime factors of 4299626? 2, 2149813 List the prime factors of 135729. 3, 11, 457 List the prime factors of 507870. 2, 3, 5, 11, 19 What are the prime factors of 3817305? 3, 5, 41, 2069 List the prime factors of 7289974. 2, 17, 149, 1439 List the prime factors of 1752361. 13, 10369 What are the prime factors of 249180? 2, 3, 5, 4153 List the prime factors of 627704. 2, 7, 11, 1019 What are the prime factors of 16596400? 2, 5, 41491 List the prime factors of 1025486. 2, 7, 11, 6659 List the prime factors of 1549939. 563, 2753 List the prime factors of 57964. 2, 43, 337 List the prime factors of 3524343. 3, 1174781 What are the prime factors of 1295336? 2, 7, 23131 List the prime factors of 5382751. 11, 199, 2459 What are the prime factors of 291995? 5, 11, 5309 List the prime factors of 1193810. 2, 5, 31, 3851 List the prime factors of 375183. 3, 41687 What are the prime factors of 530479? 127, 4177 What are the prime factors of 2027466? 2, 3, 7, 16091 What are the prime factors of 1393437? 3, 464479 List the prime factors of 1545459. 3, 515153 List the prime factors of 860306. 2, 443, 971 What are the prime factors of 335389? 31, 349 What are the prime factors of 4412998? 2, 2206499 What are the prime factors of 1043300? 2, 5, 10433 What are the prime factors of 4020416? 2, 62819 What are the prime factors of 4839587? 4839587 List the prime factors of 2698701. 3, 61, 14747 List the prime factors of 571054. 2, 11, 101, 257 What are the prime factors of 129073? 7, 18439 What are the prime factors of 9759927? 3, 41, 79349 What are the prime factors of 1316894? 2, 658447 What are the prime factors of 658159? 658159 What are the prime factors of 10692093? 3, 317, 11243 List the prime factors of 95572. 2, 23893 List the prime factors of 8415117. 3, 227, 1373 List the prime factors of 119381. 31, 3851 List the prime factors of 15935. 5, 3187 What are the prime factors of 649625? 5, 5197 What are the prime factors of 5350223? 17, 314719 What are the prime factors of 2024189? 419, 4831 List the prime factors of 6723243. 3, 83003 List the prime factors of 2532344. 2, 349, 907 What are the prime factors of 1230797? 61, 20177 List the prime factors of 7330. 2, 5, 733 List the prime factors of 8069151. 3, 2689717 What are
{ "pile_set_name": "DM Mathematics" }
o? -0.3 Let d = 93.9 + -94. Let g = d + 0.04. What is the nearest to 0 in g, -5, -3? g Let h be -1*(1/(-3) - 0). Let z = -2.8 + 5.8. Let y(p) = -p**2 - 8*p - 12. Let j be y(-6). Which is the nearest to h? (a) j (b) -0.3 (c) z a Let g = 0.632 + -0.75. Let f = 0.382 - g. Let z = -2/63 + -55/252. Which is the closest to -1/2? (a) z (b) -1/10 (c) f a Let s = -3428 + 3425. Let f = -43 + 171/4. Which is the nearest to -1? (a) f (b) -1 (c) s b Let x = 39.3 - 39. Let o = -6479/17 + 381. What is the closest to 1/3 in -0.2, x, o? x Let q = -2.62 - -5.62. Which is the nearest to 0.1? (a) 4/7 (b) -3 (c) q (d) 39 a Let y = 123 + -103. Suppose -4*t = -4*o + y, 2*t - 17 = 3*t - 4*o. What is the closest to 1 in -3, 0.1, t? 0.1 Let j = 19477/9 + -2171. Let a = 20/3 + j. What is the nearest to -1/12 in 4, a, -0.4? a Suppose 0 = 5*l - 46 - 54. Suppose 2*y + l = 2*a, -5 = -2*a - 0*a - y. Let k = 3.4 + -3. What is the nearest to 2/9 in a, 0, k? k Suppose -v = 3*n + 4*v - 104, 131 = 4*n - v. Let m be (-22)/n + (-8)/6. Which is the closest to -1? (a) 0.1 (b) m (c) -0.5 c Let h = 275 - 1921/7. Which is the nearest to -0.1? (a) h (b) 0.2 (c) 7 b Let k be 10 + (-24)/(-324)*-138. Let b = 1.3 + -0.3. What is the closest to b in -0.1, 0.3, k? 0.3 Let i = 1796 + -1793. What is the closest to -1 in -1/2, 0.26, i? -1/2 Let s = 49.8 + -27. Let x = s - 23. Which is the nearest to x? (a) -2/3 (b) 0.5 (c) 0.8 a Let o = -3 + 2.9. Let y = o - -0.2. Let s be 6/(-8) - 40/(-32). What is the closest to s in -0.4, y, -3? y Let w = -2.1 + 0.1. Let q = 0.3 - 0.32. Let t = 0.98 - q. Which is the closest to t? (a) -4 (b) w (c) -2/7 c Let x = 11 + -54/5. Suppose 3*i - 4*i - 13 = -3*o, -4*o - 4*i + 44 = 0. Let q be ((-2)/o)/(14/18). What is the closest to -2/7 in x, q, -5? q Let c = 95 - 94.1. What is the nearest to c in -3/8, 1, 2/7? 1 Let v be 5/(-3)*(-27)/(-9). Let w = -27635/7 - -3955. Let g = w + -393/56. Which is the nearest to -2? (a) g (b) 1/2 (c) v a Let l be (-1)/2 - (-2)/12. Let m = 2815 - 14073/5. Which is the closest to m? (a) -5 (b) l (c) 1/6 c Let f = 0.228 + -0.028. Let d = 2 + -2. Let h = 0 - d. Which is the nearest to h? (a) f (b) 0.3 (c) -2 a Let y be 13 + -2 - (25 - 34). Which is the nearest to -0.1? (a) y (b) -0.1 (c) 4/5 (d) -0.5 b Suppose -15*u - 88 = 29*u. Which is the closest to -3? (a) -0.06 (b) u (c) 2 (d) -0.04 b Let u = 0.079 - -3.921. What is the nearest to 0 in 4/5, u, 3? 4/5 Let k = 113 + 11. Let p = k + -122. What is the closest to 10 in p, 3, -0.3? 3 Let d be 0 - 0 - (-6)/(-10). Let z = 3 + -2.7. Let n = 1355 - 69107/51. What is the nearest to n in -2, z, d? z Let d be ((-44)/8)/11 - 6/(-28). Which is the closest to -0.1? (a) d (b) -1/9 (c) -1/6 b Let r = 29 - 32.5. Let f = r - -2.5. What is the closest to f in -2/7, 3, -0.4? -0.4 Suppose -3*h = -2*h. Let c = 84 - 84. What is the nearest to c in -0.1, h, 0.2? h Let x = -606.9 - -655. Let j = x + -7.1. Let o = j + -43. Which is the nearest to 1? (a) 0.1 (b) o (c) -4 a Let f = -1 - 27. Let s = f - -28.1. Let q = 3/19 - -42/95. Which is the closest to 1? (a) s (b) q (c) 0.09 b Let t = 7.3 + -7. Let s = 0.2 - t. Suppose -2*r = 5*i + 1, 3*r - 7*r + 2*i = -10. What is the closest to 0 in s, -2/13, r? s Let o(v) = v**3 - 5*v**2 + v - 9. Let s be o(5). Let p = 2.2 - 2. What is the nearest to p in s, -2, 1? 1 Let g = 711 + -696. Which is the nearest to -2/3? (a) 0.4 (b) -5 (c) 5 (d) g a Let x = -2154 + 2150. Which is the closest to -2? (a) 1 (b) -1/7 (c) 4 (d) x b Suppose 2*w - 168 = -164. What is the nearest to w in -6, -0.1, 1/12? 1/12 Let v = 0.66 + -0.26. Let g = -0.1 + 0.2. Let s be 3/24*2*-1. What is the nearest to -1 in g, s, v? s Let g be 5/(-25) - 4/(-70). Let n = -2.26 - -1.26. Which is the closest to n? (a) g (b) -0.15 (c) 3/5 b Let y = -0.05 - -5.05. Let v = 0.1349 + -0.0349. Which is the nearest to v? (a) y (b) -1 (c) -2/7 c Suppose 4 = 2*m - 0. Let s = 25 - 20. Let f = -1.6 + -1.4. What is the nearest to -1/3 in s, m, f? m Let v = -208/3 + 2089/30. Let t = -23.6 - -24. What is the closest to v in -0.1, t, 2? t Let f = -1 + 0.4. Suppose 0 = 2*p - 4*p + 10. What is the closest to f in 2/11, -5, p? 2/11 Let l = 1.5 - -42. Let j = -43 + l. Which is the closest to -1? (a) 4 (b) 1 (c) j c Let u be 13/(-36) + 4/16. Let r = -6.5 + 6. Let p be (1 - 2)/((-14)/(-4)). Which is the nearest to p? (a) r (b) u (c) 2 b Let t = -18 + 46. Let l be (-32)/t - (-1)/7. Which is the closest to l? (a) 4 (b) 0.03 (c) -2/3 c Let x = -2.38 - -2.25. Which is the nearest to x? (a) 1 (b) 1/5 (c) -0.1 c Let j be 8/(-80)*16/2. Let g be -2 + -12*4/(-30). Let k = 0.1 + 0.1. Which is the closest to k? (a) j (b) 0 (c) g b Let y = -0.43 - -0.83. Which is the closest to -7? (a) -0.1 (b) 0.3 (c) y a Suppose 3*x + 36 = -6*x. Let l be 1 - (-12)/(-4) - x. Which is the closest to l? (a) 4/9 (b) -5 (c) -0.3 a Let h = -12.0345 - -0.0345. What is the nearest to 5 in -0.4, h, -2? -0.4 Let m = 12.986 - 13. Let r = m + -11.686. Let w = 12 + r. Which is the nearest to -1? (a) w (b) 5 (c) 3 a Let m be ((-517)/(-462) + (-4)/14)/((-10)/6). Let w = -9 - -13. Which is the closest to 1/3? (a) m (b) w (c) -1 a Let l = 277 - 282. What is the closest to 0 in -3, 4, l, 0.08? 0.08 Let m = -1/119 - 114/595. What is the closest to m in 2, 1/6, 10, -1/2? -1/2 Suppose 8 = -2*i - r + 3*r, -2*i = -r + 4. Suppose 6 = -i*k - 2*k. Let n = -114 - -113. What is the closest to -1 in 1/7, n, k? n Let s = -12 + 11.7. Let n = -194 + 194.3. Which is the nearest to n? (a) -2/7 (b) s (c) -3 a Let n = 89/342 - -45/38. Which is the closest to 0.1? (a) 1 (b) n (c) -0.4 c Let l = 167/228 - 5/76. Which is the nearest to 1? (a) l (b) -1/3 (c) 47 a Let k be (-3)/(-2)*16/24. Let o = 4/41 - -62/205. What is the nearest to k in -0.1, o, -3/5? o Let u = -16/5 + 17/5. Let y be ((-2)/(-2))/(3 + 0). What is the closest to -3 in y, -4, u? -4 Let k = 4 + -1. Let z = 0.1 + -0.2. Let t = -3.827 - 0.173. Which is the closest to z? (a) 5 (b) k (c) t b Let g = -0.7503 + -0.2497. What is the closest to -0.1 in 4, 2, g, -24? g Let k = 9.3 + -9. Let o = k + -3.3. Let s = 5/33 - -2/11. What is the closest to s in -2, o, 0.2? 0.2 Let r = -241 + 1690/7. What is the nearest to 1 in 0, r, -13? r Let c = -0.08 - -0.38. Let i = 0.331 - 0.131. Let a = 169/4 + -42. What is the nearest to i in 2/7, c, a? a Let f = -140 + 140.079. Let c = f + 0.021. What is the closest to -4 in -1, -5, c? -5 Let q(u) = 62*u - 106. Let p be q(2). What is the closest to p in -1, 0.2, -1/6? 0.2 Let u = -0.0929 + 0.0929. Let q = 5 - 3. What is the nearest to u in 3/4, q, -1/3? -1/3 Let q = -1.87 - -1.77. What is the nearest to q in -2/5, 8/9, 0.4? -2/5 Let f = 1 + -0.7. Let i = 202 + -430. Let m = 2502/11 + i. Which is the closest to 1/2? (a) f (b) 2/7 (c) m a Let d be (-22)/(-187) - 159/51. Let w = 0 + 0.1. What is the closest to 1 in -0.4, d, w? w Let d = 565 + -515.9. Let v = -49 + d. What is the nearest to 4 in -1/4, v, -1? v Let x = -27.016 + 0.016. Let v = x + 27.1. Which is the closest to v? (a) 1 (b) 2 (c) -5 a Let l = 7 + -6. Let t = 19 - 24. Which is the nearest to 2? (a) t (b) 6/5 (c) l b Let m = 0.118 - 1.018. Which is the closest to -1? (a) -0.2 (b) -9 (c) m c Let q = 4 + -3. Let b = -5 - -12. Let u(w) = -2*w**2 + 13*w + 9. Let h be u(b). What is the closest to q in -4/9, -2, h? h Let m be 2/(-16) - (-23681)/(-952). Which is the closest to -1? (a) 1 (b) 1/6 (c) m b Let l = -0.1 + -3.8. Let j = 4 + l. What is the closest to 2 in -0.1, 1, j? 1 Let a = -40.7 - -7.7. Let x = 37 + a. What is the nearest to -2 in -4, x, -1? -1 Let x = 10.46 + -10. Let y = -0.23 + x. Let c = y - -0.07. What is the nearest to 1 in c, 5, -2? c Let j = 1 + -4. Suppose -168*s + 50 = -178*s. Which is the closest to -2/5? (a) s (b) j (c) -0.2 c Let a = 364/3 - 121. What is the closest to a in -4, -11, -0.2? -0.2 Let k = 399/110 - 41/11. Which is the closest to -37? (a) 2/13 (b) -0.3 (c) k (d) -1 d Suppose 8*a - 223 = -183. What is the nearest to -15/19 in -1/10, a, 1, -2/5? -2/5 Let g = 2.99 + -2.59. What is the nearest to -4 in g, 2/25, 4? 2/25 Let r(s) = -s**2 - 3*s - 3. Let x be r(-2). Let t = 1336/3 - 2669/6. What is the
{ "pile_set_name": "DM Mathematics" }
f 924581519? 547, 1690277 What are the prime factors of 314619041? 11, 757, 37783 What are the prime factors of 108638934? 2, 3, 18106489 What are the prime factors of 576365735? 5, 11, 10479377 What are the prime factors of 26714438? 2, 43, 53, 5861 List the prime factors of 60838525. 5, 11, 197, 1123 List the prime factors of 789726112. 2, 7, 3525563 List the prime factors of 87015416. 2, 37, 73, 4027 List the prime factors of 76123443. 3, 11, 19, 167, 727 What are the prime factors of 172061453? 283, 607991 What are the prime factors of 862572461? 862572461 What are the prime factors of 8101704? 2, 3, 13, 23, 1129 What are the prime factors of 60415858? 2, 17, 19, 93523 List the prime factors of 126061545. 3, 5, 17, 494359 What are the prime factors of 86403291? 3, 13, 2215469 List the prime factors of 279206355. 3, 5, 18613757 What are the prime factors of 19484357? 73, 266909 List the prime factors of 285251233. 71, 4017623 What are the prime factors of 3259584542? 2, 41, 39751031 List the prime factors of 1058497015. 5, 31, 887, 7699 What are the prime factors of 1407483092? 2, 351870773 List the prime factors of 144866887. 11, 19, 61, 1033 What are the prime factors of 14306518? 2, 47, 152197 List the prime factors of 68403729. 3, 22801243 What are the prime factors of 414376792? 2, 139, 191, 1951 What are the prime factors of 36518557? 359, 101723 List the prime factors of 5233755535. 5, 43, 24343049 List the prime factors of 291032021. 7, 5939429 List the prime factors of 31140803. 787, 39569 List the prime factors of 473029746. 2, 3, 7, 61, 184633 What are the prime factors of 45990920? 2, 5, 1149773 List the prime factors of 124082173. 124082173 What are the prime factors of 5226875363? 43, 673, 180617 List the prime factors of 588033125. 5, 940853 List the prime factors of 329206322. 2, 593, 277577 What are the prime factors of 227223036? 2, 3, 239, 8803 What are the prime factors of 118508555? 5, 11, 1063, 2027 List the prime factors of 233148406. 2, 116574203 List the prime factors of 220627934. 2, 8233, 13399 List the prime factors of 1074963354. 2, 3, 8861, 20219 List the prime factors of 363953219. 7, 23, 29, 77951 What are the prime factors of 40286510? 2, 5, 11, 29, 73, 173 What are the prime factors of 876016480? 2, 5, 5475103 What are the prime factors of 384005922? 2, 3, 19, 199, 16927 List the prime factors of 215586136. 2, 26948267 List the prime factors of 1924816089. 3, 7, 601, 21787 What are the prime factors of 1410364494? 2, 3, 7, 11, 41, 8273 List the prime factors of 55897962. 2, 3, 19, 131, 197 List the prime factors of 747199928. 2, 19, 127, 38707 What are the prime factors of 71082558? 2, 3, 23, 171697 List the prime factors of 454055413. 7, 757, 12241 List the prime factors of 716861512. 2, 4957, 18077 List the prime factors of 9289424. 2, 23, 25243 List the prime factors of 3830532302. 2, 103, 18594817 What are the prime factors of 367423455? 3, 5, 7, 113, 173, 179 List the prime factors of 107201990. 2, 5, 7, 19, 80603 List the prime factors of 164029393. 11, 14911763 List the prime factors of 623264586. 2, 3, 7, 14839633 What are the prime factors of 297912031? 23, 12952697 What are the prime factors of 186921088? 2, 19, 151, 509 List the prime factors of 40320720. 2, 3, 5, 11, 1697 What are the prime factors of 45438915? 3, 5, 23, 131707 What are the prime factors of 120517254? 2, 3, 11, 13, 15607 List the prime factors of 119683371. 3, 4733, 8429 List the prime factors of 320504226. 2, 3, 7, 31, 199, 1237 What are the prime factors of 775513217? 79, 9816623 List the prime factors of 145745966. 2, 47, 379, 4091 What are the prime factors of 7189422814? 2, 7, 157, 3270893 What are the prime factors of 1659283183? 43, 38587981 List the prime factors of 80547370. 2, 5, 41, 71, 2767 List the prime factors of 207972966. 2, 3, 1091, 31771 List the prime factors of 277180777. 277180777 List the prime factors of 3291431760. 2, 3, 5, 507937 What are the prime factors of 152548541? 71, 137, 15683 List the prime factors of 1427093603. 13, 109776431 List the prime factors of 953080507. 953080507 List the prime factors of 902715859. 19, 47511361 List the prime factors of 530344502. 2, 7853, 33767 What are the prime factors of 182716306? 2, 17, 5374009 List the prime factors of 44990006. 2, 22495003 List the prime factors of 798755833. 103, 7754911 List the prime factors of 76037030. 2, 5, 7603703 What are the prime factors of 719623314? 2, 3, 39979073 List the prime factors of 2489882286. 2, 3, 414980381 List the prime factors of 3220594019. 17, 47, 4030781 What are the prime factors of 983341530? 2, 3, 5, 1877, 5821 List the prime factors of 109916785. 5, 11, 47, 101, 421 List the prime factors of 1309664215. 5, 29, 9032167 List the prime factors of 3012395843. 229, 691, 19037 List the prime factors of 42661601. 233, 277, 661 What are the prime factors of 21171452? 2, 5292863 What are the prime factors of 102624771? 3, 67, 103, 4957 List the prime factors of 3072692635. 5, 19, 32344133 What are the prime factors of 2382421749? 3, 37, 1171, 18329 What are the prime factors of 285227219? 285227219 What are the prime factors of 512523274? 2, 256261637 List the prime factors of 26869676. 2, 6717419 What are the prime factors of 913685831? 131, 281, 24821 List the prime factors of 178456720. 2, 5, 13, 29, 61, 97 What are the prime factors of 298626798? 2, 3, 49771133 List the prime factors of 91498976. 2, 2859343 List the prime factors of 361984331. 83, 4361257 List the prime factors of 700885359. 3, 101, 257017 What are the prime factors of 954437240? 2, 5, 23860931 List the prime factors of 2635587073. 7, 6779, 55541 List the prime factors of 7713986. 2, 7, 41, 89, 151 What are the prime factors of 1214374079? 23, 83, 421, 1511 What are the prime factors of 73931612? 2, 18482903 What are the prime factors of 9415183? 2593, 3631 What are the prime factors of 26566683? 3, 11, 13, 61927 What are the prime factors of 1567419762? 2, 3, 89, 2935243 List the prime factors of 155222969. 11, 71, 233, 853 What are the prime factors of 3596978? 2, 7, 11, 23357 What are the prime factors of 1037661775? 5, 41506471 What are the prime factors of 443459235? 3, 5, 127, 131, 1777 List the prime factors of 5308371312. 2, 3, 17, 6505357 What are the prime factors of 30161264? 2, 7, 17, 31, 73 What are the prime factors of 56550349? 56550349 List the prime factors of 240265716. 2, 3, 19, 37, 1499 List the prime factors of 30502567. 30502567 List the prime factors of 1153734. 2, 3, 37, 5197 List the prime factors of 169772745. 3, 5, 11318183 What are the prime factors of 758012320? 2, 5, 13, 17, 97 List the prime factors of 960854044. 2, 757, 317323 List the prime factors of 178584810. 2, 3, 5, 5952827 What are the prime factors of 17787692? 2, 13, 342071 What are the prime factors of 131151357? 3, 19, 766967 What are the prime factors of 1441868169? 3, 7, 2099, 4673 List the prime factors of 713222079. 3, 1787, 133039 What are the prime factors of 77787693? 3, 8643077 List the prime factors of 959177023. 7, 137025289 List the prime factors of 15501963. 3, 47, 109943 List the prime factors of 394202363. 394202363 List the prime factors of 15255133. 1487, 10259 List the prime factors of 3041447233. 11, 43, 241, 26681 List the prime factors of 146223962. 2, 19, 31, 101, 1229 What are the prime factors of 186390653? 89, 2094277 What are the prime factors of 4433657319? 3, 7, 13, 151, 35851 What are the prime factors of 18067385? 5, 7, 19, 101, 269 What are the prime factors of 5594708562? 2, 3, 1087, 857821 What are the prime factors of 680460568? 2, 85057571 What are the prime factors of 194864378? 2, 61, 139, 11491 What are the prime factors of 1841485845? 3, 5, 122765723 What are the prime factors of 72580733? 72580733 List the prime factors of 5539982235. 3, 5, 941, 392489 What are the prime factors of 1660955583? 3, 7, 283, 279481 What are the prime factors of 469074459? 3, 7, 22336879 What are the prime factors of 117829726? 2, 7, 29, 59, 4919 What are the prime factors of 42466407? 3, 14155469 List the prime factors of 78126163. 78126163 List the prime factors of 2740340766. 2, 3, 456723461 List the prime factors of 328137530. 2, 5
{ "pile_set_name": "DM Mathematics" }
be (-312)/(-54) - 6 - (-7076)/9. What is the highest common divisor of 6 and y? 6 Suppose 4*x = -x + 5, -4*x - 506 = -5*s. What is the greatest common divisor of s and 6? 6 Suppose 649 = 5*s - 3*n, 0*n = -2*s + 4*n + 268. What is the greatest common factor of 2 and s? 2 Let r be 2 - (-26)/(-16) - (-3611)/184. Let y be 294/(-4)*12/(-9). Suppose -2*o - 3*t + 90 = 18, -3*o - 2*t = -y. What is the highest common divisor of r and o? 10 Let h be 0 + -1 + (-4)/(-4). Let k(t) = -t**3 + t**2 - 54. Let m be k(h). Let d = 109 + m. Calculate the highest common divisor of 5 and d. 5 Let x(f) = 6*f**2 - 5*f**2 + 0 - 3 + 5*f**2. Let z be x(4). Let a = z + 26. What is the greatest common divisor of a and 17? 17 Let w(b) = -2*b**2 - b + 4*b**2 - 6 + 0*b. Let a be w(-5). Let s be 6 - 2 - -1*3. What is the highest common divisor of s and a? 7 Suppose 3*t = -0 + 36. Let v(k) = 3*k**3 + k**2 - 4*k + 3. Let g be v(2). Suppose -a + g = 17. Calculate the highest common divisor of a and t. 6 Let h = 500 + -492. Calculate the highest common factor of h and 216. 8 Let a = -263 + 268. What is the highest common divisor of a and 10? 5 Suppose 2*t - 364 = 5*p, t - 37 = -2*p + 127. Calculate the highest common factor of 4 and t. 4 Suppose -35 = o + 2*c, 4*c + 107 = 3*o - 6*o. Let y = o - -18. Let b = -11 - y. What is the greatest common factor of 16 and b? 8 Suppose -5*t + 185 = 5*y, -4*t + 74 = 5*y - 3*y. Calculate the highest common divisor of y and 148. 37 Suppose 24*w - 140 = 172. What is the highest common factor of w and 247? 13 Let m be 2/((-145)/(-50) + -3). Let b = m - -19. Let z be b/(-7) - 375/(-21). Calculate the greatest common factor of z and 9. 9 Let v = 11 - -52. Let o be (-3)/(-4 - (-4 + 1)). Suppose 5*b - 75 = -c + 132, 0 = -5*b + o*c + 219. Calculate the greatest common factor of b and v. 21 Let h be 6/39 - -271*11/143. Let c(p) = 2*p**3 + p. Let z be c(1). Calculate the highest common factor of h and z. 3 Let o(k) = k**3 - k**2 - k + 540. Let s be o(0). Suppose -5*q + 0*q = -s. Suppose 48 = 3*z + z. What is the highest common divisor of q and z? 12 Let t be 1629/21 - 63/(-147). Calculate the greatest common factor of 208 and t. 26 Let b = -33 + 12. Let z = b - -40. Suppose -5*d = -z - 106. Calculate the greatest common factor of d and 5. 5 Let h(n) = 40*n + 1. Let r be h(-1). Let z = -24 - r. Let c = 26866 + -26863. What is the highest common factor of c and z? 3 Let n(v) = -10*v - 4. Let x be n(-5). Let z = x - 13. What is the highest common divisor of z and 66? 33 Suppose 3*s - 36 = -n + 35, -5*n + 260 = -4*s. What is the highest common divisor of 16 and n? 8 Let l = 444 + -99. What is the greatest common factor of l and 460? 115 Let d(f) = 23*f - 21. Let i be (-20)/1*12/(-24). Let g be d(i). Calculate the highest common factor of 19 and g. 19 Let u(k) = -k**2 + 4*k - 5. Let p(t) = -3*t**2 + 9*t - 11. Let d(g) = -2*p(g) + 5*u(g). Let x be d(-6). Calculate the greatest common factor of x and 7. 7 Let q(u) = 32*u - 129. Let x be q(15). Calculate the highest common factor of 135 and x. 27 Let j = 316 + -290. Calculate the greatest common divisor of 2 and j. 2 Let j(w) = w**3 + 20*w**2 + 24*w + 104. Let q be j(-19). What is the highest common divisor of 9 and q? 9 Suppose -916 = -4*j + 132*m - 128*m, 689 = 3*j - 2*m. Calculate the highest common factor of j and 189. 21 Suppose -534 = 91*j - 2445. Let i be ((-70)/6)/((-2)/18). What is the highest common factor of i and j? 21 Suppose 10 = 5*n - 10. Suppose 0 = -3*k - 2184 + 2196. Suppose 0 = n*p + 4*b - 32, 5*p - k*p - 4 = -2*b. Calculate the greatest common divisor of 8 and p. 4 Suppose 92 = 5*u - u. Suppose 106*d + 5*z + 798 = 110*d, -d + 189 = -3*z. Calculate the highest common factor of u and d. 23 Suppose -5*v + 26 = 2*g, -5*v - 3*g + 35 = 2*g. Let z be 13 + -6 - 1 - 4. What is the highest common factor of v and z? 2 Suppose 5*m + 4*x - 374 = 1161, 4*m - 2*x = 1254. Suppose -h - 4*y - 23 = -91, 4*h = -3*y + m. What is the highest common divisor of h and 32? 16 Let w be -5*10/(-4)*2. What is the highest common factor of w and 575? 25 Suppose 0*m = -3*m - 9, 800 = 4*j + 4*m. Calculate the highest common divisor of j and 7. 7 Let v(d) = -41*d - 47. Let r be v(-4). Calculate the greatest common factor of r and 26. 13 Let w = 20 - 8. Suppose 0*q - 4*q + w = 0. Let j be (q/9)/(1/3). What is the greatest common factor of j and 5? 1 Let o(f) = -5*f + 16*f + 12 - 13*f + 10. Let j be o(-7). What is the greatest common factor of j and 24? 12 Let t be (-95 - 16)/((-6)/4). Let j = -34 + t. What is the greatest common divisor of 320 and j? 40 Suppose 24*j = 20*j + 76. Suppose -114 = -7*x + 4*x. Calculate the highest common factor of j and x. 19 Suppose 49*p - 10967 = -3029. What is the highest common factor of p and 42? 6 Let b = -1735 + 2483. Let i be (-2)/((48/b)/(-6)). Calculate the highest common factor of i and 17. 17 Let i = 10 + 140. What is the highest common divisor of i and 6? 6 Suppose -461 = -n - 5*j, -4*j = -17*n + 12*n + 2276. What is the highest common divisor of n and 48? 24 Let y = 20 - 13. Let c be (-27)/y*2*(-14)/3. What is the highest common factor of 24 and c? 12 Let s = -55 + 87. Let r(b) = -b**3 - 37*b**2 - 69*b + 67. Let n be r(-35). What is the highest common divisor of n and s? 32 Let t = 4 + -4. Let r be 0*(t + 1 + 0). Suppose r*w - 165 = -w - 4*f, -w + f + 150 = 0. Calculate the greatest common divisor of w and 17. 17 Let y = 1622 - 790. What is the greatest common divisor of y and 64? 64 Let g = -3 + -12. Let m be (-20)/g*3 - 10. Let s be (-4)/m*1392/32. What is the greatest common factor of 29 and s? 29 Let u(v) = -v**3 - 3. Let g be u(-2). Suppose 30 = s + m - 6*m, 90 = 5*s + g*m. What is the highest common factor of 100 and s? 20 Suppose 4*s = 12 - 124. Let x = -34 - -78. Let n = x + s. What is the highest common divisor of n and 2? 2 Let b = 344 + -302. Calculate the highest common factor of b and 174. 6 Suppose 4 = -2*t + 3*t. Suppose 2*j + 17 = 3*s - 0*j, t*s + 4*j + 4 = 0. Suppose 4*n - 13 = s*n. What is the highest common divisor of n and 39? 13 Let k(t) = -5*t - 66. Let b be k(-24). Let w = -513 + 945. Calculate the greatest common factor of b and w. 54 Let l(k) = 16*k - 174. Let s be l(14). What is the greatest common factor of 215 and s? 5 Let b be (-1)/(-4) + -57*5/(-60). Suppose -3*z - x = 13, -3 = -3*x - 6. Let n be (0 - z)/(-2 + 4). What is the greatest common divisor of b and n? 1 Let c(w) = 9*w**2 + w. Let q be c(-3). What is the greatest common factor of 39 and q? 39 Let y(w) = w**3 + 10*w**2 - 5*w + 16. Let k be y(8). Calculate the highest common factor of k and 24. 24 Let d = -67 + 87. Let v = -10 + d. Calculate the highest common divisor of 2 and v. 2 Suppose -4*m + p + 7 = -2*m, -5*m + 19 = -p. Suppose 2*b + d = 5*d + 12, 2*d + 24 = m*b. Calculate the highest common divisor of b and 3. 3 Let n(a) = a**3 - 2*a**2 + 6. Let i be n(5). Let v(r) = 14*r + 26. Let d be v(2). What is the greatest common divisor of d and i? 27 Let h = -572 + 657. Calculate the highest common divisor of h and 476. 17 Let m(v) = 96*v**2 + 5*v - 1. Let j be m(-1). Calculate the highest common factor of 405 and j. 45 Let h = -790 - -898. Calculate the highest common divisor of 135 and h. 27 Let z(o) = -34*o + 782. Let v be z(22). Calculate the highest common divisor of 561 and v. 17 Suppose -2*y - 4 - 20 = 0. Let n = y + 14. What is the greatest common divisor of 4 and n? 2 Let b be 1/2 + 53/2. Suppose z + 5 = 40. Let x = z + 100. Calculate the greatest common divisor of x and b. 27 Suppose -s - 1 + 4 = 0. Suppose s*n = 2*n + 36. What is the greatest common divisor of n and 18? 18 Let d be (-3 - -15 - -2) + 1. Suppose -6*k + 3*k + d = -3*t, 7 = -k - 3*t. Let r be 0 - (-3 + -2 + -1). Calculate the highest common divisor of r and k. 2 Let j be (48/(-3))/(-3 + (-555)/(-195)). What is the highest common factor of 169 and j? 13 Let x(n) = -24*n - 842. Let k be x(-38). Suppose -17 = 3*v + 3*u - 53, -2*v + 4*u = -12. What is the highest common divisor of v and k? 10 Let u = -50 - -226. Suppose o + 2*m = 44, o - 5*m - 30 = -7. Let f be o/2 - (2 + 3 - 2). What is the highest common factor of u and f? 16 Let u(n) be the second derivative of 65*n**3/6 - 5*n**2 + 7*n. Let x be u(4). Suppose x = 3*q - 14
{ "pile_set_name": "DM Mathematics" }
8)*(z + 45)/4 Factor -374941677*p**2/2 + p. -p*(374941677*p - 2)/2 Find f, given that -4*f**3 - 3295920*f**2 - 125240628*f - 1189772248 = 0. -823942, -19 Solve 2*h**3/9 + 211658*h**2/9 - 23724512*h/9 + 664461952/9 = 0 for h. -105941, 56 Find f, given that -6*f**5/11 + 38926*f**4/11 - 4546120*f**3/11 + 71916128*f**2/11 + 370321280*f - 249664800 = 0. -22, 2/3, 70, 6369 What is h in -h**4/2 - 10787*h**3 + 75544*h**2 + 226587*h - 582687/2 = 0? -21581, -3, 1, 9 Factor 5*k**3 - 705*k**2 - 340550*k - 2016840. 5*(k - 343)*(k + 6)*(k + 196) What is k in -5*k**5 + 3110*k**4 + 1399360*k**3 - 752693440*k**2 - 73211114240*k - 1657352604160 = 0? -482, -44, 596 Let -4*a**5 + 10180*a**4 + 621188*a**3 + 10439836*a**2 + 29775200*a - 40846400 = 0. Calculate a. -28, -5, 1, 2605 Determine s so that -2*s**2/7 + 10744264*s/7 - 14429901112712/7 = 0. 2686066 Determine p so that -p**4/2 - 673083*p**3/2 + 1346169*p**2/2 - 673085*p/2 = 0. -673085, 0, 1 Factor 2*x**2/5 - 19339048*x/5. 2*x*(x - 9669524)/5 Suppose -33794*a**2/5 + 5474612*a/5 + 2592/5 = 0. Calculate a. -8/16897, 162 Find c such that 3*c**3 - 2210133*c**2 + 203313192*c - 4676057412 = 0. 46, 736619 What is b in b**2 - 90*b - 339031 = 0? -539, 629 Let 2*y**2/7 - 17118*y/7 - 17120/7 = 0. Calculate y. -1, 8560 Suppose -12*w**5/5 + 320*w**4 + 1211336*w**3/5 + 40681104*w**2/5 + 5235956*w - 2658320 = 0. Calculate w. -235, -35, -1, 1/3, 404 Find u, given that -4*u**3 - 7312*u**2 - 2263696*u + 53382912 = 0. -1424, -426, 22 Let 2*w**5/3 + 4640*w**4/9 - 7766*w**3/9 - 12400*w**2/9 = 0. Calculate w. -775, -1, 0, 8/3 Solve 624*t**3/7 - 656646*t**2/7 - 448506*t/7 - 75816/7 = 0. -3/8, -4/13, 1053 Let -22*g**2 + 10488*g - 668066 = 0. What is g? 833/11, 401 Factor -h**2 - 294000052*h - 21609007644000676. -(h + 147000026)**2 Factor 192*c**2 - 5587198*c - 58200. 2*(c - 29100)*(96*c + 1) Find f such that 50*f**3/11 + 31404070*f**2/11 - 50246608*f/11 + 20098656/11 = 0. -628083, 4/5 Determine a, given that 35*a**5 + 545005*a**4 - 1868935*a**3 + 1012495*a**2 + 1868900*a - 1557500 = 0. -15575, -1, 1, 10/7, 2 Solve 1922*b**5 + 758942*b**4 - 7834002*b**3 + 20461610*b**2 - 2543200*b + 81000 = 0 for b. -405, 2/31, 5 Suppose k**2/8 - 1472*k - 1559817/8 = 0. Calculate k. -131, 11907 Determine j, given that -2*j**3/9 - 5266*j**2/9 - 140776*j/9 - 135512/9 = 0. -2606, -26, -1 Solve 2*d**2 - 340268*d - 1361104 = 0 for d. -4, 170138 Factor v**3 + 1213*v**2 - 3073790*v + 3072576. (v - 1248)*(v - 1)*(v + 2462) Suppose 5*l**2 - 36714275*l = 0. Calculate l. 0, 7342855 Factor 2*u**2 + 241510128*u + 7290892740822048. 2*(u + 60377532)**2 Determine x, given that -44*x**3/5 - 11256*x**2/5 + 355296*x/5 + 1598464/5 = 0. -3122/11, -4, 32 Let -3*b**2/2 - 2191884*b + 4383771/2 = 0. What is b? -1461257, 1 Factor -2*i**4/3 - 2086324*i**3 + 43813000*i**2 - 920074372*i/3 + 715613934. -2*(i - 7)**3*(i + 3129507)/3 Suppose -63750*r**5 - 193500*r**4 - 73350*r**3 + 183120*r**2 + 67968*r - 304128/5 = 0. What is r? -8/5, -88/85, 3/5 Solve 3*w**3 + 111747*w**2 + 1039329720*w - 23963734224 = 0 for w. -18636, 23 Suppose -2*y**3 + 97424*y**2 - 1188375552*y + 47379271680 = 0. What is y? 40, 24336 What is v in -4*v**5 + 14685*v**4 + 44095*v**3 - 14685*v**2 - 44091*v = 0? -3, -1, 0, 1, 14697/4 Factor -m**2/2 + 901647*m. -m*(m - 1803294)/2 Factor -2*r**3/5 - 1809934*r**2/5 - 7239704*r/5. -2*r*(r + 4)*(r + 904963)/5 Let -5*m**2 - 121131550*m - 733642620270125 = 0. What is m? -12113155 Factor -5*b**4 - 374280*b**3 - 227554795*b**2. -5*b**2*(b + 613)*(b + 74243) Factor -g**3/3 - 5810*g**2/3 - 9675*g. -g*(g + 5)*(g + 5805)/3 Find q, given that -15*q**3/4 + 2717*q**2/4 - 1433*q + 179 = 0. 2/15, 2, 179 Find s such that 2*s**5 + 948*s**4 - 150896*s**3 + 7135744*s**2 - 114846720*s + 202342400 = 0. -608, 2, 40, 52 Factor f**4/7 - 69*f**3/7 + 205*f**2 - 11847*f/7 + 4840. (f - 40)*(f - 11)**2*(f - 7)/7 Solve 164*i**2/19 - 3403490*i/19 - 41506/19 = 0 for i. -1/82, 20753 Solve 3*h**3/4 - 80058*h**2 - 1921473*h/4 - 1441125/2 = 0. -3, 106750 Let -2*y**4/3 - 1748*y**3/3 - 121798*y**2 + 736040*y/3 - 368896/3 = 0. Calculate y. -524, -352, 1 Factor -3*t**3/2 - 2279757*t**2/2 - 433131601377*t/2 - 9094758283863/2. -3*(t + 21)*(t + 379949)**2/2 Suppose 2*p**4/11 + 256*p**3/11 + 26*p**2 - 27688*p/11 - 2520 = 0. Calculate p. -126, -11, -1, 10 Determine l, given that -5*l**3 + 18511315*l**2 + 20*l - 74045260 = 0. -2, 2, 3702263 Find i, given that -5470*i**4/3 - 262556*i**3/3 - 1050176*i**2 + 768*i = 0. -24, 0, 2/2735 Solve 225*k**3 - 1004622*k**2 + 5004105*k + 66900 = 0 for k. -1/75, 5, 4460 Factor -2*r**2/7 + 890788*r/7 + 71275840/7. -2*(r - 445474)*(r + 80)/7 Factor 5*w**2/2 - 69023565*w + 952850505061845/2. 5*(w - 13804713)**2/2 Find y such that 2*y**4/5 - 1636*y**3/5 - 35894*y**2/5 + 110384*y - 1288704/5 = 0. -32, 3, 8, 839 Factor -4*d**2 + 134008*d + 268032. -4*(d - 33504)*(d + 2) Let 6*r**4 + 7959*r**3 + 1135602*r**2 + 43275492*r + 21354840 = 0. What is r? -1170, -78, -1/2 Solve 2*x**5 - 92*x**4 - 24792*x**3 + 101268*x**2 + 222966*x - 903960 = 0 for x. -93, -3, 3, 4, 135 Suppose -4*k**5 + 64*k**4 + 4352*k**3 + 36936*k**2 + 94212*k + 61560 = 0. Calculate k. -19, -6, -3, -1, 45 Factor -45606025125*q**3 - 29461490320650*q**2 + 1233924580*q - 12920. -5*(q + 646)*(95505*q - 2)**2 Factor 3*c**3/2 - 232206*c**2 + 8936706240*c + 3867564298752. 3*(c - 77616)**2*(c + 428)/2 Suppose -w**3/2 + 12691022*w**2 + 152292291*w/2 + 114219225 = 0. What is w? -3, 25382050 Let -5*k**4 - 3830*k**3 - 315995*k**2 - 4027530*k - 9341640 = 0. What is k? -674, -77, -12, -3 Find f, given that 5*f**3 - 2791150*f**2 - 72573155*f - 69782000 = 0. -25, -1, 558256 What is q in 2*q**4 + 4180*q**3 + 159898*q**2 - 164080*q = 0? -2051, -40, 0, 1 Solve h**4/2 - 4567*h**3/2 - 103866*h**2 + 442850*h - 451976 = 0. -49, 2, 4612 Factor 15*k**2/4 + 63983495*k/2 - 42655665/4. 5*(k + 8531133)*(3*k - 1)/4 Let b**2 - 62791*b + 34849360 = 0. What is b? 560, 62231 Solve -4*j**2/3 - 15700*j/3 - 1170008 = 0. -3687, -238 Factor 4*q**2 + 271322176*q - 271322180. 4*(q - 1)*(q + 67830545) Let a**2/3 + 3220601*a/3 + 2147066 = 0. Calculate a. -3220599, -2 Suppose -35*u**3 - 132391795*u**2 - 491740430*u + 151304760 = 0. What is u? -3782619, -4, 2/7 Determine i, given that -i**2/6 - 113387*i/3 + 302376 = 0. -226782, 8 Let v**3 + 932393*v**2 + 217340575195*v + 652013334075 = 0. What is v? -466195, -3 Determine m so that -1455739*m**3/2 + 1455738*m**2 - 1455735*m/2 - 1 = 0. -2/1455739, 1 Factor -z**2/6 - 54655*z/3 - 25594107/2. -(z + 707)*(z + 108603)/6 Factor 3*x**3 - 131730*x**2 + 1445802579*x + 5785318188. 3*(x - 21957)**2*(x + 4) Determine x, given that -4*x**2 + 929988*x - 9299480 = 0. 10, 232487 Let -2*t**5 - 162500*t**4 + 1137562*t**3 - 2925212*t**2 + 3250264*t - 1300112 = 0. Calculate t. -81257, 1, 2 Solve g**3/5 + 8188924*g**2/5 + 6551135*g - 8188920 = 0 for g. -8188920, -5, 1 Find z such that -2*z**2/15 + 365522*z/15 - 755284 = 0. 31, 182730 Let -6*w**3/11 + 10203660*w**2/11 - 204071400*w/11 + 1020354000/11 = 0. Calculate w. 10, 1700590 Factor 2*v**5/5 + 31106*v**4 - 466602*v**3/5 + 466606*v**2/5 - 155536*v/5. 2*v*(v - 1)**3*(v + 77768)/5 Let y**3/3 - 5228297*y**2/3 + 6833774994200*y/3 - 6833769765904/3 = 0. What is y? 1, 2614148 Factor g**3/2 - 4658*g**2 + 24936445*g/2 - 7237493319. (g - 4259)**2*(g - 798)/2 Factor -4*l**3/3 + 11476*l**2 + 22161440*l + 29183794096/3. -4*(l - 10291)*(l + 842)**2/3 Factor h**2/3 - 401*h - 404826. (h - 1857)*(h + 654)/3 Find z such that -2*z**4/15 - 163342*z**3/3 - 27795703666*z**2/5 - 138945797406*z - 133386711120 = 0. -204165, -24, -1 Let -5*k**5 + 1381445*k**4 - 95417442215*k**3 - 286260615365*k**2 - 286263378280*k - 95421586580 = 0. What is k? -1, 138146 Determine t, given that -25211889851043*t**2 - 34787508*t - 12 = 0. -2/2898959 Let -s**4/4 + 6317609*s**3/4 - 37905546*s**2 + 227433060*s = 0. Calculate s. 0, 12, 6317585 Suppose 2*o**4/9 - 1760870*o**3/3 + 36978116*o**2/9 + 49304216*o/3 + 105651920/9 = 0. What is o? -2, -1, 10, 2641298 Let 3*z**3 - 52944*z**2 - 212400*z + 10167552 = 0. What is z? -16, 12, 17652 Find f, given that -3*f**2 + 58704216*f - 58704213 = 0. 1, 19568071 Find k such that -5*k**5 + 94330*k**4 - 448935025*k**3 + 37897570940*k**2 + 77142324300*k + 38795724000 = 0. -1, 88, 9390 Solve -4
{ "pile_set_name": "DM Mathematics" }
o**2 + 2 - 2) + 14014*o - 14014*o - 11559*o**2 as b + x*o + m*o**2 and give m. -11558 Rearrange (0 - 6 + 4)*(2*h**2 - 3 + 3)*((2*h - 7*h + 4*h)*(-892 + 282 - 269) - 2 + 2 - 2*h) to the form p*h + v + o*h**3 + y*h**2 and give o. -3508 Express (33*i + 23*i - 73*i - 5*i + i + 2*i - 2*i - 2*i + i + (4 - 4 + 2*i)*(2 + 2 - 6))*(3 - 2 - 4) as r*i + w and give w. 0 Rearrange v**4 - 2*v**3 + 29568*v**2 + 2*v - 29564*v**2 - 3*v**4 + 3 - 1 + 0*v**4 to x*v + o + s*v**3 + h*v**2 + n*v**4 and give h. 4 Rearrange -76 + 103227*n + 2*n**4 - 103225*n + 3*n**3 + 3*n**3 to the form t*n**4 + i*n + p*n**2 + u*n**3 + r and give t. 2 Express -3*x + 2*x - x + x - 3*x + 0*x + (-5 + 1 + 5)*(-3*x + x + x) - 10617*x + 4184*x + 5440*x in the form n + s*x and give s. -998 Express 1282*c + 1177*c + 1897*c + 460*c as r + f*c and give r. 0 Express 102 + 108 - 3888*n - 316 + 106 in the form d*n + r and give d. -3888 Rearrange 29271038*i - 617*i**3 - 19*i**2 - 29271038*i + (3 + i**3 - 3)*(3 + 2 - 4) to the form o*i**2 + y + f*i + m*i**3 and give o. -19 Express (q + q + 0*q + (3 - 1 - 1)*(-q - 4*q + 3*q) + 3 + q - 3 + 2 + 4*q - 2)*(-81*q - 64*q + 15*q) as b*q + w*q**2 + a and give w. -650 Express 4 + n**4 + 690658*n**3 - 690658*n**3 + 21*n**2 + 2*n - 2*n**4 as g*n**3 + c + t*n + k*n**4 + o*n**2 and give c. 4 Rearrange ((4 + 1 - 4)*(-26 - 3 - 26) + 2 - 4 + 1)*(-25*v**3 + 25*v**3 + 12*v**4) to w + o*v**2 + l*v**3 + g*v + k*v**4 and give k. -672 Rearrange -28*c - 2 + 16*c + 2*c**2 - c**3 + c**4 + 16*c + c**3 + 2*c**3 to u*c + n*c**2 + g + x*c**3 + f*c**4 and give u. 4 Express 2649*d + 2645*d - 5294*d - 4725*d**2 as s*d**2 + y + g*d and give s. -4725 Express (2*x**3 + 0*x**3 - 3*x**3)*(15137*x + 11484*x - 7665*x) as t*x**2 + s*x + n*x**3 + g*x**4 + m and give g. -18956 Express -12 + 0 + 3 + 8 + 1382*g**2 - 2*g**3 - 131*g**2 in the form h + w*g**3 + l*g**2 + q*g and give l. 1251 Rearrange 14514*j - 12162*j + 14841*j to b + q*j and give q. 17193 Express (4 + 3 - 4)*(-1 - 10 + 3672*d + 9) + (-2*d + 2*d + 3*d)*(0 - 3 + 4) as k*d + f and give k. 11019 Express (-27 + 5 - 6)*(509 + 528 - 1037 + 2482*m) as p*m + x and give p. -69496 Express 2*n**2 - 1164*n**4 - 110*n**3 + 10 + 4*n + 108*n**3 + 7 + 1163*n**4 in the form s*n**3 + x*n**4 + w + z*n + y*n**2 and give z. 4 Rearrange (-72*b**3 - 93*b**4 + 72*b**3)*(-370 - 625 + 286 + 225 - 478) to the form y*b**3 + m*b + q + p*b**2 + s*b**4 and give p. 0 Express (-54 + 98 + 282)*(-m**2 - 13*m + 13*m) in the form l + x*m**2 + o*m and give l. 0 Rearrange 4*y - y + 0*y + 1558 + 1862*y - 1863*y - 305 - 4*y + 3*y - y + y + 0*y + 2*y + (0 + 1 - 3)*(-3*y - 2*y + 7*y) to the form m*y + i and give m. -1 Express -4104 - 39*r**2 + 8*r + 41*r**2 - 8*r + 2*r - 3*r as p + d*r**2 + k*r and give p. -4104 Express -14414*i - 3*i**3 + 14414*i - 87*i**2 + (-4 - 1 + 4 + (-2 + 2 - 4)*(0 + 2 + 0))*(4*i**3 + 0*i**3 - 5*i**3) as m*i**2 + r + y*i**3 + l*i and give m. -87 Express (-4 + 4 + k)*(-15*k**2 + 2*k**2 + 0*k**2) + 59*k**3 - 33*k**3 + 61*k**3 as h*k + f*k**3 + t + n*k**2 and give n. 0 Rearrange (-1040*q - 276*q - 313*q)*(-3*q - 11 + 7 + 6) to the form j*q**2 + m*q + d and give j. 4887 Rearrange -8 + 143786*k**2 - 11*k + 19 + 143793*k**2 - 287587*k**2 to l + r*k + x*k**2 and give l. 11 Rearrange (15 + 196 - 103)*(1 - 1 - 2*g**3)*(-g - 2*g + 0*g) to j*g**2 + u*g**3 + a + z*g**4 + i*g and give z. 648 Express (-203*h - 535*h - 531*h)*(h - 6*h - 2*h) in the form u + k*h**2 + q*h and give k. 8883 Rearrange -1 + 117*n + 0 + 24077*n + 1 to the form q + i*n and give i. 24194 Express (0*u + u + 0*u + (13*u + 277 - 277)*(-1 + 4 - 2))*(26 + 27*u - 26) in the form t*u + l*u**2 + p and give l. 378 Rearrange 4 + 10 + 53*b**2 + 26 - 61 to l*b**2 + d*b + z and give l. 53 Rearrange (0*h + 2*h - 4*h)*(-2686 + 1400 + 1362)*(2*h + 7*h + h) to the form r*h + s*h**2 + o and give s. -1520 Rearrange 44*v**2 - 44*v**2 + 2206*v + 301*v**3 - 300*v**3 + (-6*v**3 + 3*v**3 + v**3)*(-3 + 5 - 3) to y*v**2 + a + n*v + m*v**3 and give m. 3 Rearrange 2 - 2 - 23095*i**2 + 23060*i**2 + 4*i + 1 to the form k + q*i**2 + o*i and give k. 1 Rearrange (-2*d + 2*d + d)*(-1432 - 611 - 72) - d - 3 + 3 to a*d + h and give a. -2116 Rearrange 112*b**2 - 73*b**2 - 91*b - 94*b - 58*b**2 + 42*b**3 - 2 + 188*b to l*b + x*b**3 + f + k*b**2 and give l. 3 Rearrange -8*o**2 - 35 + 3222*o + 47 - 3224*o to s*o**2 + m + i*o and give s. -8 Rearrange -51*a + 2071*a + 5038*a - 730*a + 712*a to the form m*a + p and give m. 7040 Rearrange (t**2 - t**2 + t**3)*(-6014 + 10956 - 7733)*(-3 + 5 - 1) to the form d*t**3 + h*t**2 + u + s*t and give s. 0 Express 191*v - 174*v - 77 + 57*v as h + d*v and give h. -77 Rearrange -46*u**3 + 24*u + 96*u**3 - 65*u**3 to h*u + a*u**2 + x + q*u**3 and give x. 0 Express 2*c + c - c + (4 - 4 + 3)*(0 + 3*c + 0) + c + 3 - 3 + 4*c + 2*c - 4*c + (-c + 2*c - 3*c)*(2 + 0 - 3) + 474 - 474 + 2*c in the form b*c + q and give b. 18 Express (-609*n**2 - 527*n**2 + 52*n**2)*(1 + 0 + 0 + 3 - 5 + 3 + (-4 + 0 + 6)*(-2 - 2 + 2)) as l + x*n + d*n**2 and give d. 2168 Express -29892*z + 1056952 - 1056952 as d + h*z and give h. -29892 Express (1 + 0 + 1)*(-10982*i**3 - 3587*i**3 + 4447*i**3 - 24939*i**3) as f*i**3 + h*i**2 + r + g*i and give f. -70122 Rearrange -3*o**2 - 2 - 157*o - 234*o - 57*o**2 + 463*o to r + y*o**2 + g*o and give g. 72 Express (-5008*g - 391 + 389 + 27*g)*(-2*g**2 + 0*g + 0*g) as o + l*g**3 + p*g**2 + j*g and give l. 9962 Rearrange -10*y + 14*y + y**4 + 11*y - 8*y**2 - 4*y**2 + 5955 - 5952 to the form g*y + n + p*y**4 + s*y**2 + c*y**3 and give n. 3 Rearrange -104*v**3 + 102*v**3 + 63*v**2 - 1 - 2*v + 31*v**4 - 60*v**2 to x*v + u*v**2 + k + t*v**3 + m*v**4 and give x. -2 Rearrange -2 - 57652*p + 28826*p + 28826*p + 500*p**2 to t + y*p**2 + b*p and give y. 500 Rearrange 934*l**2 - 6410*l**4 - 2 - 238*l**2 + 3 + 2*l + 6409*l**4 to q + f*l**3 + z*l**4 + a*l**2 + n*l and give a. 696 Express 3 - 509226*m - 5 + 508314*m - 5 in the form y + n*m and give y. -7 Express (3*n - 2*n + 4*n)*(-n + n + n)*(21779 + 222*n**2 - 21779 + (2*n - 5*n + n)*(0*n - 3*n + n)) as l*n**4 + b*n**2 + w*n + v*n**3 + p and give l. 1130 Rearrange (-3*p**2 + 2*p**2 + 2*p**2)*(p + p - p + (-1 + p + 1)*(311 - 18 + 111)) + 2*p**3 + 2*p**3 + 3*p**3 to the form r*p + t*p**3 + x + u*p**2 and give t. 412 Express (3192*l - 1598*l + 1 - 3925*l**2 - 1592*l)*(-1 - 2 + 2) as i + x*l + u*l**2 and give i. -1 Rearrange 4593*m**2 + 2511*m**2 + 6050*m**2 + 8938*m**2 to the form t*m**2 + u*m + b and give t. 22092 Rearrange -55*y + 140*y + 11*y + 2 - 9*y**2 to d*y**2 + a + n*y and give a. 2 Express 653 - 653 + 49*u**2 + (-30 + 30 - 5*u**2)*(-3 - 2 + 6) in the form s*u + b*u**2 + y and give b. 44 Express 15979*f**3 + 235*f**2 - 18*f + 19*f - 15991*f**3 as b*f**3 + n + c*f + u*f**2 and give c. 1 Express 4 - 6 + 216*a**3 + 5*a**2 - 76*a**3 - 96*a**3 as g*a**3 + h*a**2 + r + i*a and give h. 5 Rearrange -16*b**3 - 21 - 1897*b**2 + 1898*b**2 - b**4 + 3*b**4 + 27*b**3 to h + a*b**2 + l*b + w*b**3 + n*b**4 and give a. 1 Rearrange 0*b - 19 - 7*b**4 + 6 + b**2 + 13 + b - 48*b**3 to the form h*b**3 + k*b + l*b**4 + j + u*b**2 and give l. -7 Express (10 + 53 + 67 - 5 + 4 - 1 + (3 - 2 + 0)*(0 + 1 - 3) + 0 + 1 - 3 - 1 + 3 - 3)*(629*w**2 - 629*w**2 - 25*w**3) as m*w**3 + b*w**2 + a*w + k and give a. 0 Express m + 2531 - 3*m + 27 - 377 + 852 as k + n*m and give n. -2 Express (10 - a**3 + 86*a - 86*a)*(-1071 - 198 + 6 - 113 - 2036) in the form r*a**2 + h*a**3 + j + k*a and give h. 3412 Express 2848*i - 1742 - 971*i + 1743 - 1 + 2*i + 1 + (0*i + i - 3*i)*(-3 + 5 + 0) - 6*i + 3*i + 2*i + (-15*i + 7*i - 11*i)*(3 - 6 + 1) as w*i + j and give w. 1912 Rearrange 8*x + x**4 + 10*x - 23*x + (x**3 - x + x)*(-4*x + 5*x + x) + 7*x + 19*x**4 - 21*x**4 + 4*x to z + c*x**3 + y*x**2 + k*x + j*x**4 and give j. 1 Express -31332*a + 12052*a + 11289*a + 11025*a in the form k*a + i and give k. 3034 Express 14 + 4*h**2 - 14 + (3*h - h - h)*(3 + 4 - 5)*(h - 19*h - 50*h) + (-h - 3 + 3)*(h + 6*h - 4*h) as u + c*h**2 + i*h and give c. -135 Rearrange (19*o**2 + 19*o**2 - 34*o**2 + 5*o)*((0 - 2 + 3)*(o - o + 2*o) - 164 - 147*o + 164) - 3*o**2 + 3*o**2 - o**3 to r + a*o + s*o**2 + l*o**3 and give s. -725 Express 38688*s**2 - 5234*s**3 - 38688*s**2 + (s**3 + 0*s**3 + s**3)*(-4 + 2 + 0) as a +
{ "pile_set_name": "DM Mathematics" }
nder when a is divided by 23? 20 Let n(m) = 5*m. Let o = 10 - 16. Let z be n(o). What is the remainder when z/(2/1 + -4) is divided by 8? 7 Let n = 7 - 5. Suppose 0 = -j - 4*q - 252, -908 = n*j + 2*j - 4*q. Calculate the remainder when (-1)/5 + j/(-10) is divided by 12. 11 Suppose 4*o + 114 = l, -361 = -4*l - o - 2*o. Suppose -5*r + 67 = 4*y, 5*y + 0*r - 4*r - l = 0. What is the remainder when y is divided by 5? 3 What is the remainder when 10/(-25) + (-27)/(-5) is divided by 3? 2 Let m(y) = y**2 - y + 18. Let r be m(0). Let h = 7 + r. Let o(q) = q**2 - 4*q - 3. What is the remainder when h is divided by o(-2)? 7 Let w(f) = f. Calculate the remainder when (6/15)/(7/245) is divided by w(4). 2 Let l(y) = y**2 + y + 6. What is the remainder when 4/(13 - -3) + (-70)/(-8) is divided by l(0)? 3 Suppose -3*h + 95 = 2*h. What is the remainder when h is divided by 10? 9 Suppose -2*d + 60 = d. Calculate the remainder when d is divided by (4 + (-22)/2)/(-1). 6 Let j(f) = f**2 + f - 25. Let i be j(0). Suppose -10*w = -23 - 67. What is the remainder when (-1)/(-2 + (-49)/i) is divided by w? 7 Let s(m) = -8*m - 4. Let q be 4/6 + (-20)/(-6). Let y be (2/(-2))/(q/12). Calculate the remainder when s(y) is divided by 7. 6 Suppose -21 = -q - 2*q. Let f(x) = -2*x - 9. Let o be f(-7). Suppose o*p - 25 = 2*a + 41, -3*p + 33 = a. Calculate the remainder when p is divided by q. 5 Suppose -3*u + 3 + 9 = 2*p, 4*u - 8 = 0. Suppose 0 = -l - p*a + 9 - 2, -2*l + 5*a + 36 = 0. Calculate the remainder when 49 is divided by l. 10 Suppose 0 = 4*z - z + 4*l - 38, 5*z + 2*l = 40. What is the remainder when 34 is divided by z? 4 Suppose 0 = g + 5*j - 22, 0*j - 6 = -2*j. Calculate the remainder when 17 is divided by g. 3 Suppose 26 = -3*x - 1. Let p be x*((-20)/6)/5. Let m(b) = b**2 - 4*b + 6. Calculate the remainder when m(p) is divided by 7. 4 Let z(b) = b**3 + b**2 + 49. Calculate the remainder when z(0) is divided by 25. 24 Suppose 9 = -i + 2*i. Calculate the remainder when 35 is divided by 177/i + (-6)/9. 16 Let v = 52 - -67. What is the remainder when v is divided by 24? 23 Let l be 4/1 + -2 - -4. Suppose 30 = -s + l*s. Calculate the remainder when 11 is divided by s. 5 Suppose 0 = -3*j - a + 97, -j + 12 = -5*a + 1. Calculate the remainder when j is divided by 12. 7 Let r(w) = -87*w**3 + w**2. Let y be r(-1). Suppose -2*k - 32 = -y. What is the remainder when k is divided by 10? 8 Suppose 3*y - 8 - 25 = 0. What is the remainder when 19 is divided by y? 8 Let c(h) = 2*h - 8. Calculate the remainder when c(26) is divided by 23. 21 Let y(b) = b**3 - 14*b**2 + 14*b. Let k be y(13). Let j(g) = g**2 - 12*g + 7. Calculate the remainder when j(k) is divided by 11. 9 Let g(a) be the third derivative of 0*a + 1/60*a**5 + 0 - a**2 + 1/8*a**4 + 5/6*a**3. What is the remainder when 16 is divided by g(-4)? 7 Suppose 24 = 3*y - 27. Let q = -10 + 16. What is the remainder when y is divided by q? 5 What is the remainder when 18 is divided by 69/15 - 6/(-15)? 3 Suppose -8 = -4*p, -5*x + 3*p + 16 = p. What is the remainder when 44 is divided by ((-10)/x)/(1/(-6))? 14 Suppose 4*m - 406 = 2*n, 3*m = 4*m - 2*n - 94. Suppose m = 3*h + h. Calculate the remainder when h is divided by 9. 8 Suppose -p + i + 33 = 0, -i = -5*p - 2*i + 189. What is the remainder when p is divided by 13? 11 Suppose 0 = 3*k - 3*u + 5*u - 37, 0 = -2*u + 4. Calculate the remainder when 20 is divided by k. 9 Let c = 3 - 3. Let h = c - 2. Let p = 4 + h. Calculate the remainder when 5 is divided by p. 1 Let k be -13 + (1 - 0)*3. Let w(j) = -j**2 - 13*j - 7. Calculate the remainder when 68 is divided by w(k). 22 Suppose -4*z + 2*z = -18. Let o = -5 + z. Calculate the remainder when 10 is divided by o. 2 Suppose -3*o + o + 46 = 0. Suppose 8 = 2*c - c + 4*b, 5*c - 2*b = 40. What is the remainder when o is divided by c? 7 Calculate the remainder when 11 is divided by 1*14/(-4)*-2. 4 Suppose -12 = -4*c + 12. Suppose -2*m + 4*i = -c*m + 128, 0 = -5*i + 15. What is the remainder when m is divided by 29/3 + 2/6? 9 Let z = -43 + 29. Let n = z + 21. Calculate the remainder when n is divided by (3 + 0)*(-4)/(-3). 3 Let o(a) = 7*a**2 + 6*a + 6. Calculate the remainder when o(-3) is divided by 27. 24 Let j be (-654)/10 + (-4)/(-10). Let v = 31 - -63. Let d = v + j. What is the remainder when d is divided by 10? 9 Let n(j) = -j - 1. What is the remainder when 58 is divided by n(-7)? 4 Let i = 94 - 29. What is the remainder when i is divided by 17? 14 Suppose 7*c - 2*c = -25. Let h = 8 + c. Suppose 0 = -h*g + g + 8. Calculate the remainder when 5 is divided by g. 1 Let t = -23 - -32. Let g(c) = c**2 - 8*c - 7. Calculate the remainder when 2 is divided by g(t). 0 Let i(s) = -s**2 + 16*s + 30. Calculate the remainder when 88 is divided by i(16). 28 Suppose -4*h = o - 38, 3*h = 4*o - 31 - 64. Calculate the remainder when o is divided by 8. 2 Suppose a = 3*a - s + 99, -42 = a + s. Let c = 70 + a. Suppose -3*m - 11 - 4 = 0, 2*v - c = 3*m. What is the remainder when 6 is divided by v? 2 Suppose 1 = -w + 10. Calculate the remainder when 25 is divided by w. 7 Suppose 0 = b - 3*k + 34, 2*b = -5*k - 6 - 18. Let x = -15 - b. Calculate the remainder when x is divided by 4. 3 Suppose 0 = 4*p + 1 - 125. What is the remainder when p is divided by 16? 15 Suppose -4*m - 2 - 11 = 5*p, 5*m = -3*p. Let w = -3 + m. Suppose -66 = -3*v - w*v. What is the remainder when v is divided by 12? 10 Let k(f) = -f. Let r be k(-5). Let s = r + 4. What is the remainder when s is divided by 5? 4 Let v(t) = t**3 - 3*t**2 - 4*t + 7. What is the remainder when 12 is divided by v(4)? 5 Let j = 13 + -8. Calculate the remainder when 12 is divided by j. 2 Suppose -4*x + 2*p + 20 = 0, 24 = -0*x + 4*x - p. Let o(w) = -2*w + 12. What is the remainder when o(-4) is divided by x? 6 Let i = 55 - 14. Let z = 68 - i. Calculate the remainder when z is divided by 15. 12 Let j(n) be the first derivative of n**4/4 - 4*n**3 - 13*n**2/2 + 9*n - 1. What is the remainder when 25 is divided by j(13)? 7 Suppose 2*c + 553 = 9*c. What is the remainder when c is divided by 34? 11 Suppose 4*t = 11 - 159. Let y = 75 + t. Calculate the remainder when y is divided by 10. 8 Let a = -7 - -11. What is the remainder when 9 is divided by a? 1 Suppose 0 = -2*d + 2*x + 8, 0*d - 2*x - 6 = -d. Let v = 62 + 6. Suppose -d*i = 3*y - 26 + 4, -5*i - y = -v. What is the remainder when 27 is divided by i? 13 Suppose -3*y + y + 8 = 0. Let z(p) = -p**3 - p**2 + p + 7. Let n be z(0). Let u(x) = -x**2 + 10*x - 7. Calculate the remainder when u(n) is divided by y. 2 Suppose -54 = -3*w + 21. Suppose 3*g = -4*i - 19, 6*i - i - 5*g = 20. Calculate the remainder when w is divided by -1 + -1 + 17 + i. 11 Suppose 24 = 4*y - 2*w, -5*y + 20 + 8 = -2*w. Let b(m) = -12*m - 2. What is the remainder when b(-2) is divided by 2/y*(-16)/(-1)? 6 Let w = 4 + 0. Suppose w*u = -0*u + 28. Suppose 5 = 2*l - u. Calculate the remainder when 9 is divided by l. 3 Suppose 3*k - 2*u = k + 12, k - 5*u = 18. Let n be (-4)/(-10) + 42/(-5). Let l = -6 - n. What is the remainder when k is divided by l? 1 Suppose -3*s = -8*s. Suppose s = -3*a + 66. Suppose g + 8 = 2*g. Calculate the remainder when a is divided by g. 6 Let a = 32 + -61. Let k(y) = y**2 + 11*y + 10. Let g be k(-7). Let j = g - a. What is the remainder when j is divided by 7? 4 Suppose n - 4*x = -5*x + 19, -4*x = -4*n + 52. What is the remainder when 43 is divided by n? 11 Let d = 7 - 3. What is the remainder when 9 is divided by d? 1 Suppose s - 7*i = -3*i + 19, -3*s + 1 = 2*i. Suppose 3*d - x = 29, -7*x + s*x + 34 = 3*d. What is the remainder when d is divided by 7? 3 Let l(g) = 9*g**2 + 2*g + 1. Suppose -5*h + 5*i + 105 = 0, -13 = 5*i + 7. Calculate the remainder when l(-2) is divided by h. 16 Suppose m + m = 12. Suppose -4*s + w = 2, m*w - 5*w = 5*s + 2. Suppose y + y - 21 = -3*p, 4*y - 2*p - 2 = s. Calculate the remainder when 4 is divided by y. 1 Let a = 12 - 6. Calculate the remainder when (-70 - -4)/3*2/(-4) is divided by a. 5 Suppose 0*l + 6 = 2*l. Suppose -4*u = s + 2*s - 21, l*u - 6 = s. Let c = 1 + 0. Calculate the remainder when s is divided by c. 0 Let o(q) = q**3 + 11*q**2 - 5*q - 2. What is the remainder when o(-11) is divided by 14? 11 Suppose 15 = -5*k, -2*k = 2*w + k - 7. L
{ "pile_set_name": "DM Mathematics" }
5*j(d). Determine c(t(v)). -v**2 Let d(i) = 4*i**2 + 27 - 3*i**2 - 27. Let x(f) = -3*f. Determine d(x(q)). 9*q**2 Let o(k) = 34*k - 11*k**2 - 34*k. Let p(q) = 206*q**2 - 2*q - 207*q**2 + 2*q. Give o(p(r)). -11*r**4 Let t(g) = g**2. Let s(r) = -40*r - 35. Let h(y) = y + 1. Let n(p) = 70*h(p) + 2*s(p). Determine n(t(z)). -10*z**2 Let f(g) = -5*g**2. Let x(j) be the first derivative of j**4/12 - 3*j**2 - 2. Let p(d) be the second derivative of x(d). What is f(p(t))? -20*t**2 Let y(d) = -20*d. Let b(o) = -258*o. Determine b(y(l)). 5160*l Let y(z) = -z + 0*z + 4*z. Let k(w) = 2*w + 2*w**2 - 2*w. Give y(k(t)). 6*t**2 Let h(x) = 2*x + 5. Let r(t) = 4*t + 8. Let a(g) = 8*h(g) - 5*r(g). Let f(n) = n**2. Determine a(f(s)). -4*s**2 Let a(n) = 2*n**2. Let r(o) = -8*o**2 + 8. What is r(a(x))? -32*x**4 + 8 Let p(h) = h. Let m(l) = 728*l**2 + 24. Calculate p(m(n)). 728*n**2 + 24 Let p(w) = 4*w - 3*w - 3*w + 3*w. Let y(m) = 2*m**2. Let h(f) = 11*f**2. Let s(t) = 6*h(t) - 34*y(t). Give s(p(z)). -2*z**2 Let y(t) = 120*t**2. Let g(q) = -q. What is y(g(i))? 120*i**2 Let o(i) = -13*i. Let y(l) be the third derivative of -l**4/24 + l**2 - 21. What is y(o(p))? 13*p Let m(u) be the third derivative of -u**8/20160 + u**5/30 + 2*u**2. Let w(k) be the third derivative of m(k). Let i(v) = 0*v - v + 0*v. Calculate w(i(t)). -t**2 Let t(a) = 10*a. Let s(h) = 338*h. Determine s(t(l)). 3380*l Let f(r) = -6108 + 6108 - 2*r**2. Let b(q) be the second derivative of q**5/30 - q**2/2 - q. Let m(l) be the first derivative of b(l). Determine f(m(s)). -8*s**4 Let z(j) = 83*j - 2. Let f(m) = 5*m**2. Calculate z(f(g)). 415*g**2 - 2 Let f(n) = 3*n. Let q(c) = -17*c + 1. Calculate f(q(a)). -51*a + 3 Let q = -3 + 5. Let n(k) = 0*k + q*k + 0*k. Let x(d) = -2*d. Give x(n(m)). -4*m Let l(j) = -j**2. Let b = 7 - 2. Suppose m = b - 3. Let w(g) = -3*g**2 + 4*g**2 - 2*g**m. What is l(w(q))? -q**4 Let p(c) = -2*c. Let x be -2 - -6 - 6/3. Let h(l) = 21*l**2 - 4*l**2 + 9*l**2 - 4*l**x. Calculate h(p(t)). 88*t**2 Let q(r) = 10*r. Let j(l) = 23*l**2. Determine j(q(p)). 2300*p**2 Let s(t) = -67*t**2. Let p(o) = 4*o**2. Determine s(p(y)). -1072*y**4 Let n(q) be the first derivative of q**3 + 29. Let z(s) = s. Let g = -7 + 13. Let m(b) = b. Let c(w) = g*m(w) - 5*z(w). What is c(n(a))? 3*a**2 Let i(m) be the second derivative of m**4/12 + 2*m - 15. Let d(o) = -o - 21. Determine d(i(h)). -h**2 - 21 Let d(q) = 3*q. Let i(b) = -55*b**2. Determine d(i(j)). -165*j**2 Let w(j) = -2*j + 2*j + 2*j**2. Let m(h) = -5*h. Calculate m(w(o)). -10*o**2 Let m(j) be the second derivative of 7*j**3/3 + 15*j. Let z(f) = -f**2. Give z(m(l)). -196*l**2 Let y = 2 + 0. Let l(j) = 24 + 2*j**y - 24. Let m(r) = 3*r. Determine m(l(u)). 6*u**2 Suppose -4 = l + 3*l. Let x(p) = -p + p**2 - p - 2*p**2 - 4 + 6*p. Let n(y) = -y**2 + y - 1. Let i(t) = l*x(t) + 4*n(t). Let w(q) = -q**2. Determine i(w(b)). -3*b**4 Let f(v) = 2*v + 10. Let l(b) = -120*b**2. Give l(f(k)). -480*k**2 - 4800*k - 12000 Let q(i) = 11*i. Let h(d) = 14*d**2. Determine h(q(j)). 1694*j**2 Let n(t) = 2*t. Let o(c) = 15 - 15 + 3*c. What is o(n(q))? 6*q Let v(k) = -2*k**2. Let j(m) = -3880*m**2. What is v(j(h))? -30108800*h**4 Let k(w) = -16*w + 16. Let c(y) = 1. Let x(s) = -16*c(s) + k(s). Let z(f) = -f. Determine x(z(v)). 16*v Let g(v) = -3*v**2. Let k(s) = -44*s**2. Give g(k(z)). -5808*z**4 Let m(r) = 2*r**2. Let f(z) = 8*z - 9. Calculate f(m(p)). 16*p**2 - 9 Let p(q) = 5*q - 8. Let g(m) = 5 - 4*m - 2 + 2*m. Let f(s) = 8*g(s) + 3*p(s). Let u(t) = 2*t**2. What is u(f(z))? 2*z**2 Let s(h) = h. Let d(a) = 2*a**2 - 965. Determine d(s(i)). 2*i**2 - 965 Let b(t) = -2*t. Let f(u) = 643*u**2. Give b(f(w)). -1286*w**2 Let k(o) be the third derivative of o**5/30 + o**2. Let p(s) be the first derivative of 2*s**2 - 5. Calculate p(k(r)). 8*r**2 Let i(u) be the first derivative of -u**2/2 - 4. Let v(t) be the third derivative of -1/12*t**4 + 0 - 3*t**2 + 0*t**3 + 0*t. Give v(i(m)). 2*m Let t(k) be the second derivative of k**3/2 + 11*k. Let v(i) = 2*i. Determine t(v(f)). 6*f Let c be 3 - (0 - 1 - -2). Let m(i) = i**2 - c*i**2 - 2*i**2. Let z(l) be the third derivative of l**4/8 - 3*l**2. Determine z(m(q)). -9*q**2 Suppose 4*f + m - 16 = 0, -3*f - 4*m + 4 = -8. Let h(x) = 3*x**2 - f*x**2 + 5*x**2. Let u(b) = b**2. Calculate h(u(a)). 4*a**4 Let w(v) = -2*v**2. Let n(q) be the second derivative of -7*q**3/6 - 4*q. Give n(w(o)). 14*o**2 Let b(d) = -2*d**2. Let x = 10 - 8. Let s(n) be the first derivative of -1/2*n**x + 0*n - 1. Calculate b(s(m)). -2*m**2 Let s(p) = -7*p**2. Let i(d) = -3*d + 3. Determine s(i(g)). -63*g**2 + 126*g - 63 Let t(f) be the second derivative of f + 0 + 0*f**3 + 0*f**2 + 1/6*f**4. Let s(y) = -8*y + 2*y + 4*y. What is t(s(n))? 8*n**2 Let m(t) = t. Let y(p) = -48*p. Suppose 0 = -3*v + 2*r - 108, -v - r - 144 = 3*v. Let a(u) = v*m(u) - y(u). Let s(i) = -2*i. Determine a(s(l)). -24*l Let z(p) = -4*p + 4*p + 12*p + 4*p. Let r(a) = -a. Calculate z(r(i)). -16*i Let q(b) = -3*b**2. Let m be 2 - -1 - 0/(-2). Let t be 0/(m/(-3))*1. Let y(z) = t*z + 2*z - z. Calculate q(y(h)). -3*h**2 Let x(g) = 17*g**2. Let a(n) = -n. What is x(a(u))? 17*u**2 Let q = 0 + 1. Suppose 3*b + 6 = -2*s + 19, -2*s = 4*b - 16. Let j(z) = -1 + q - s*z. Let u(k) = k**2. Determine u(j(o)). 4*o**2 Let a(i) be the third derivative of i**5/20 + 6*i**2. Let s(v) = -2*v. What is a(s(r))? 12*r**2 Let u(d) be the third derivative of d**4/4 + 11*d**2. Let f(b) = -2*b**2. What is u(f(r))? -12*r**2 Let a(i) be the second derivative of -i**7/1260 - i**4/4 - 3*i. Let y(k) be the third derivative of a(k). Let l(f) = f**2. What is y(l(m))? -2*m**4 Let f(o) = o**2 - 2*o**2 + 0*o**2. Let c(s) = 0*s + 0*s - s. Calculate c(f(k)). k**2 Suppose -12 = -4*w + w. Let a(f) = -3*f - 5. Let z(m) = -2*m - 4. Let i(y) = w*a(y) - 5*z(y). Let u(v) = -v. Determine u(i(s)). 2*s Let j(s) = -22198*s. Let q(w) = w. Give q(j(g)). -22198*g Let r(h) be the third derivative of -h**5/60 + 3*h**2. Let v(s) = -13*s. Give v(r(u)). 13*u**2 Let w(r) = 13*r**2 - 2. Let f(u) = 39*u**2 - 6. Let l(s) = 2*f(s) - 7*w(s). Let h(z) = z**2. What is h(l(g))? 169*g**4 - 52*g**2 + 4 Let x(k) = k. Let a(w) = 2 + 0 - 2 + 4*w**2. Give x(a(p)). 4*p**2 Let f(u) = -u. Let y be 3*(-2 + 3/1). Let o(g) = 6*g + 16. Let w(k) = k + 3. Let v(a) = y*o(a) - 16*w(a). Calculate f(v(q)). -2*q Let a(w) = 2*w. Let l(u) = 14*u - 94. Determine a(l(h)). 28*h - 188 Let q(k) = -5*k + 6. Let v(h) = -h + 1. Let s(g) = -q(g) + 6*v(g). Let c(z) be the first derivative of 2*z**2 - 16. Determine s(c(a)). -4*a Let k(a) = 37*a**2 + 70*a. Let v(g) = -2*g. What is v(k(w))? -74*w**2 - 140*w Let p(w) be the third derivative of -w**4/12 - 2*w**2. Let l(i) = -4*i**2. Calculate l(p(o)). -16*o**2 Let i(d) = -6*d**2. Let y(p) = 175*p + 1. Calculate y(i(w)). -1050*w**2 + 1 Let i(g) = 1599*g**2. Let h(j) = j**2. Give i(h(d)). 1599*d**4 Let p(c) = 3*c**2. Let g(b) = -314*b. Calculate p(g(h)). 295788*h**2 Let d(o) = 5*o**2 + 7. Let z(v) = 3*v**2 + 4. Let h(k) = 4*d(k) - 7*z(k). Let y(g) = -23*g. Calculate h(y(s)). -529*s**2 Let w(r) = 2*r**2. Let a(y) = -y - 54. Determine w(a(f)). 2*f**2 + 216*f + 5832 Let l(i) = -5*i. Let k = 13 - 11. Let w(f) = -3*f**2 - f**2 + 2*f**k + 4*f**2. Determine w(l(s)). 50*s**2 Let i(h) = -h. Let l(g) = 2*g**2 - 2*g - 1. Let y be l(2). Let t(q) be the first derivative of 0*q**y + 1 - q**3 + 2. Give i(t(w)). 3*w**2 Let u(n) = -86*n. Let l(i) = -i**2 - 110. What is l(u(y))? -7396*y**2 - 110 Let s(q) = -q**3 + 12*q**2 + 14*q - 9. Let l be s(13). Let d(f) = -l + 4 + 0 + f. Let w(m) = 2*m. Determine d(w(a)). 2*a Let h(k) = -k**2. Let p(f) = -11*f**2 - 4*f. Give p(h(t)). -11*t**4 + 4*t**2 Let h(y) be the first derivative of y**3 - 2. Let n(k) = -4*k**2 + 5*k - 5. Let x(b) = -4*b**2 + 6*b - 6. Let d(c) = -6*n(c) + 5*x(c). Determine h(d(f)). 48*f**4 Let r(u) = -8*u. Let k(y) = -4*y + 2*y - 2*y + 6*y. Give r(k(n)). -16*n Let l(s) = -5*s**2 - 3*s + 3. Let p(v) = -14*v**2 - 8*v + 8. Let y(h) = -8*l(h) + 3*p(h). Let b(w) = 5*w**2. Determine y(b(r)). -50*r**4 Let y(f) be the third derivative of -f**4/12 + 12*f**2. Let o(v) = 3*v**2. Determine y(o(z)). -6*z**2 Let a(b) = -290*b. Let u(w) = 2*w**2. What is a(u(t))? -580*t**2 Let f(s) = 4*s**2. Let r(x) = 3*x**2 - 1301*x. Calcul
{ "pile_set_name": "DM Mathematics" }
10)/((-1119)/373). 4/15 Evaluate (4*1/(-20))/((-44)/(-275)). -5/4 What is 12/(-10)*((-3800)/(-114))/(-5)? 8 Calculate -24*(-12)/72*(-1)/(-8)*5. 5/2 Calculate 420/35*(1/(-2))/(-1). 6 What is (-3)/2*(-764)/(-382)? -3 Evaluate 20*-30*9/(-1890). 20/7 (-17)/(24/80*(-145)/87) 34 Evaluate 200/80*(-9)/(126/(-4)). 5/7 Calculate (5/(-4))/(((-12)/144)/((-80)/(-4200))). 2/7 Evaluate ((8/24*0)/3)/(-2). 0 What is the value of (1/((-7)/(-35)))/(5*(-1)/2)? -2 What is (558/36)/(-31)*-6? 3 What is 6/(2*1/(-15)*(-5)/(-1))? -9 Evaluate (18/(-54)*3)/3. -1/3 What is ((-3)/(-6))/((-51)/34)*3? -1 Evaluate ((-212)/3180)/((-44)/(-24)). -2/55 What is the value of (1/2*(-51)/(-102))/(75/60)? 1/5 What is ((-133)/1197)/((-2)/(-12))? -2/3 What is the value of (10/(-4))/(21*(-90)/(-3024))? -4 What is the value of ((-3)/5)/(2184/1820)? -1/2 What is (-11)/396*30*36/(-100)? 3/10 What is the value of -3*(-6)/3*2? 12 Calculate ((15/3)/10)/(198/396). 1 Calculate -12*4/(-120)*(-135)/(-6). 9 Evaluate (-10)/(-48)*2961/(-1645). -3/8 Calculate 240/45*7*(-21)/(-1176). 2/3 Calculate 126/(-18)*20/(-14). 10 What is ((-3)/9*12)/((-15)/(-75))? -20 (1/18)/((-44)/60)*550/(-1375) 1/33 What is ((-3)/9)/(7/504*-3)? 8 What is 4795/5754*(-24)/5? -4 What is (-23)/((-4370)/(-60))*(-3)/9? 2/19 (561/(-2244))/((-5)/((-40)/(-6))) 1/3 What is the value of (240/280)/(((-7)/((-588)/(-4)))/(-1))? 18 What is the value of 24/60*-10*4? -16 What is -3*(8/30)/(-11*36/(-6930))? -14 What is the value of ((-48)/20)/(((-3)/6)/(10/(-6)))? -8 Evaluate (332/1079)/((-2)/(-52)). 8 (18/147)/((-20)/(-140))*-7 -6 6/24*(-18)/(-5)*(-80)/(-78) 12/13 18*41/(17712/(-744)) -31 What is (322/(-92))/(14/6)*2/(-1)? 3 What is the value of (-1716)/330*(-5)/2? 13 Evaluate 12*(-3)/(-27)*-3*18/(-9). 8 What is ((-30)/(-110))/(468/104)? 2/33 What is the value of (20/300*10)/((-10)/3)? -1/5 What is (2/(48/44))/(36/216)? 11 What is 3/27*6*36/24? 1 (-1)/(-6)*12*(-76)/171*2 -16/9 What is the value of (420/(-2016))/((-25)/20)? 1/6 Calculate (-14)/1*9*-4*(-5)/(-210). 12 Evaluate (-56)/(-8)*1*108/(-84). -9 ((-255)/(-1071))/(24/(-14))*4/(-10) 1/18 What is the value of ((-303)/101)/((-1)/(2*2/(-8)))? -3/2 ((-144)/54*(-6)/(-28))/((-200)/140) 2/5 What is 20*(-23)/(-230)*(-1)/(-8)? 1/4 Calculate (((-24)/18)/((-168)/63))/((-1)/(-30)). 15 What is the value of (-4)/(((-456)/(-19))/(-12))? 2 Evaluate (840/(-2160))/((2/(-2)*2)/9). 7/4 What is (20/(-40)*6)/(3/(-2))? 2 (25/(-20))/((-16555)/(-2408)) -2/11 What is the value of ((-5411)/(-2319))/((-1)/(-3))? 7 Evaluate (-1)/(-4)*2*0/724. 0 What is (-2700)/(-120)*(-3)/((-660)/16)? 18/11 Calculate (3*(-8)/30)/(21/70*4). -2/3 Calculate (5/(15/2))/(34/(-255)). -5 Evaluate ((-4)/(-6))/(7*260/546). 1/5 What is ((8/2)/4)/((-65)/975)? -15 What is the value of (16/(-10))/((-272)/680)? 4 What is the value of (((-100)/(-150))/(14/(-6)))/(2/(-3))? 3/7 What is ((-4)/36*36/6)/(2/6)? -2 (-7)/(((-448)/(-48))/(-28)) 21 ((-210)/12*(-27)/(-45))/(-3) 7/2 Calculate ((-462)/252*(-2)/(-1))/((-1)/(-3)). -11 Calculate 4/12*((-5)/(-3))/((-225)/1620). -4 Evaluate (26*(-3)/15)/(13/65*-2). 13 Calculate ((-312)/(-14976))/(3/(-9)). -1/16 Evaluate -19*72/(-1140)*5/(-3). -2 What is (4/26)/(35424/6396)? 1/36 Evaluate -3*(-470)/(-282)*(-14)/10. 7 Calculate ((-135)/150)/(78/(-52)). 3/5 What is 57/(-3)*-4*38/152? 19 (-5126)/5592*(-6)/(-33) -1/6 ((42/(-15))/(-7))/(2070/(-225)) -1/23 Evaluate ((-288)/96*4/12)/(27*-1). 1/27 Calculate 56/520*-5*(-38)/133. 2/13 Evaluate ((-12)/16*4)/((-1)/(-21)*3). -21 What is the value of 21/4*(4/(-3))/(94/282)? -21 What is the value of (108/(-21))/(-3)*108/(-216)? -6/7 Calculate 3/(-504)*-4*13/((-65)/10). -1/21 What is the value of 780/975*(-7)/(-21)*(-3)/4? -1/5 Evaluate 56*-7*50/(-1225). 16 What is the value of ((-5)/(-21))/(((-1)/14)/(216/(-420)))? 12/7 Evaluate (228/(-1197))/(10/(-2100)). 40 What is 2/(-3)*(-138)/(-92)*-8? 8 Evaluate ((-1)/1)/((323/95)/(-17)). 5 Evaluate 6468/(-1540)*(-30)/(-14). -9 ((56*(-12)/(-48))/4)/((-2)/2) -7/2 Evaluate (48/15*(-1)/1)/((-80)/40). 8/5 (264/6006)/((-4)/6*12/(-28)) 2/13 What is the value of ((-3072)/(-4096))/(((-5)/260)/((-2)/(-6)))? -13 ((-36)/3)/24*1 -1/2 Calculate ((-27)/(-12))/((-7)/(-2)*2436/1421). 3/8 What is (-1806)/774*((-12)/(-10)*5)/(-119)? 2/17 Calculate -6*(-39)/(1521/(-26)). -4 Evaluate (-5*(-75)/(-500))/((-6)/(-4)). -1/2 (-14)/(-231)*1/(6/88) 8/9 Calculate (-10)/4*24/((-48)/(-8)). -10 What is (-19)/8265*675/(-45)? 1/29 Calculate 51750/(-12075)*(-1)/(-3). -10/7 What is the value of (-120)/(-20)*6/(-12)? -3 What is 312/351*-9*(-2)/168? 2/21 Calculate (1521/(-1690))/(3/(-5)). 3/2 Calculate 728/(-91)*81/24. -27 (-10360)/(-259)*(-1)/4 -10 What is the value of 0/((12/(-20))/((-4)/(-20)))? 0 Calculate 6/1*((-1)/(-12))/((-150)/200). -2/3 ((-9)/(-21))/(1650/385) 1/10 What is 12/210*30/(-600)*-20? 2/35 Calculate (-77)/(-308)*(-16)/68. -1/17 Evaluate ((-310)/(-465))/(((-2)/2*1)/1). -2/3 What is 3/54*50/(-20)*160/500? -2/45 (2/17)/((9*(-1)/(-3))/3) 2/17 Calculate 2/(-2)*(-11)/(-330)*-6. 1/5 What is ((-84)/(-24))/((-56)/(-144))? 9 What is (80/88)/((-18)/(-66))*3? 10 Calculate (-18)/(-4)*(-400)/(-900). 2 What is the value of (156*(-9)/(-972))/((-6)/(-27))? 13/2 What is 84/126*(-27)/3? -6 Calculate (-40)/35*49/14. -4 Calculate (6/2)/(-24)*(-24)/60. 1/20 48/(-15)*(-34)/(-544)*-6 6/5 Evaluate ((-432)/54)/8*3*1. -3 Evaluate ((-176)/(-12))/22*-15. -10 ((-1)/(-14))/(38/4560*30) 2/7 What is ((94/705)/((-6)/15))/(22/(-12))? 2/11 What is (2737/391)/(((-2)/2)/(-2))? 14 Calculate ((-2)/(-4)*(-32)/(-56))/((-565)/(-23730)). 12 Evaluate (12/32)/3*(-10608)/(-102). 13 Calculate (65/(-40)*(-6)/13)/(126/(-16)). -2/21 What is (((-624)/42)/13)/(2/(-7))? 4 428/(-107)*(-1)/(-12)*-2 2/3 What is (28/16*2)/((-480)/192)? -7/5 (31/31*2)/(15/3) 2/5 Calculate ((-18)/(-15))/((-27)/((-405)/(-78))). -3/13 Evaluate (5/7)/(((-529)/23)/161). -5 What is the value of ((-4)/((-96)/9))/(18/1296)? 27 What is (-2)/(-4)*(16/55)/(1242/2277)? 4/15 What is 4/(-3)*26/((-10140)/135)? 6/13 Evaluate 5/(105/(-32))*-6*17/68. 16/7 What is 24/(-21)*6/(-12)*14? 8 ((-187)/1122)/(1/2) -1/3 Evaluate 1370/10960*(-72)/1. -9 (-5*(-7)/(-1400))/(((-66)/48)/11) 1/5 Calculate ((-8)/130)/((2/30)/((-10)/(-30))). -4/13 4/3*((-1005)/(-17420))/(20/78) 3/10 Evaluate 1*((-210)/3)/7*(-4)/40. 1 Calculate (-356)/267*((-30)/(-4))/1. -10 What is 328/410*1/((-1)/1)? -4/5 What is (1/(-2)*-2)/(2660/266)? 1/10 What is (109/654)/(-3*(-4)/(-40))? -5/9 What is the value of 16/(-6)*(-150)/(-100)*4/2? -8 Calculate -6*9/((-9)/1)*(-2)/(-2). 6 Evaluate ((-23)/(16008/(-145)))/(-5). -1/24 (-6)/(-30)*10*1/24 1/12 What is the value of (((-6)/(-4))/(-1))/(-7*(-45)/(-840))? 4 Calculate 16/((-480)/10)*18*-2. 12 16/258*(363/(-44))/11 -2/43 What is 6/42*350*1/(-2)? -25 4*16/(-14)*(-70)/180*9 16 Evaluate ((-9)/(54/28))/((-156)/(-468)). -14 Evaluate ((-120)/70)/((1*(-6)/(-6))/(-7)). 12 What is the value of (1/7)/((-5)/(105/(-9)))*-1? -1/3 3*2*-1*15/1260*14 -1 2/4*-1*(-87)/((-5742)/176) -4/3 Calculate ((1/(-2))/(20/300))/((-33)/(-110)). -25 Evaluate (7/((-70)/3))/((-216)/(-450)). -5/8 What is ((-10)/(70/(-49)))/7? 1 What is ((-6)/15)/(1/(-3)*(-1638)/105)? -1/13 What is the value of 495/(-550)*(-6)/3? 9/5 Evaluate ((-518)/370)/(-4*6/20). 7/6 (-1)/((-9)/270)*8/20 12 28/(-2)*(-1488)/15624 4/3 Calculate (147/(-7350))/((-2)/(-8)). -2/25 What is the value of ((-36)/4)/((-45)/(-150)*35)? -6/7 Evaluate (364/39)/(-14)*(-2)/((-56)/6). -1/7 What is the value of 4/2*((-1)/25)/((-1026)/(-855))? -1/15 Calculate 21870/486*(-2)/6. -15 What is the value of (20/16)/((2226/(-420))/(4/(-25)))? 2/53 Evaluate ((714/21)/(-17))/(18/(-4)). 4/9 What is the value of (198/(-72))/((-693)/180)? 5/7 What is the value of 27/(-6)*-20*14/105? 12 Evaluate (37/444)/((-1)/9). -3/4 (-5)/(-2)*17/102*-4 -5/3 (-4)/(-8)*(-16)/120 -1/15 Calculate ((-9)/99)/(954/(-1166)). 1/9 Evaluate (-45)/(-100)*(-1000)/(-60). 15/2 What is the value of (105/(-28))/((-9)/(-3))? -5/4 What is ((-66)/858)/(3/(-429))? 11 (-7553)/16185*(-24)/(-7) -8/5 Evaluate 14*(-12)/(-210)*(-10)/(-1). 8 Evaluate ((-568)/(-1420))/((-16)/60). -3/2 Calculate (14/(-136))/((-1939)/2216). 2/17 What is (3522/11740)/((-6)/(-440))? 22 What is the value of ((-26)/(-13))/((-67)/(-536))? 16 What is 4/(-70)*(1134/(-1))/27? 12/5 What is the value of 2/24*1672/(-3
{ "pile_set_name": "DM Mathematics" }
, 2/5, 5.4 in decreasing order. 5.4, 3, 0.5, 2/5, k Let r = 764 + -761. Sort r, -1311, 0. -1311, 0, r Let r = 573 - 570. Suppose -3*i = 3*t - 6*t - 3, -2*i + r = -3*t. Put t, 131, -2 in ascending order. -2, t, 131 Let z = -505/944 + 33/944. Sort 10/7, -0.08, 2/9, z in decreasing order. 10/7, 2/9, -0.08, z Suppose 287*k - 35 = 282*k + 5*a, 3*a - 3 = -3*k. Sort k, -230, 5, -3, 1 in descending order. 5, k, 1, -3, -230 Let y(d) = -d**3 + 2*d + 2. Let c be y(-1). Suppose -a - c = 0, a = 6*r - r - 11. Sort 5, 10, r in descending order. 10, 5, r Let q = 7734 + -7730.8. Sort -4/3, q, -2, 2/5, 0.5 in ascending order. -2, -4/3, 2/5, 0.5, q Let f = -11107 - -11112. Sort -4, -1, 2, f, 1 in descending order. f, 2, 1, -1, -4 Let d = -3275 + 3275.2. Let k = 10.5 - 13. Put 0.5, d, k, 1/9 in increasing order. k, 1/9, d, 0.5 Let p = 98.6 - 99. Let i = 0.1 - -0.4. Let q = -5.9 - -9.9. Sort q, i, p in ascending order. p, i, q Let h(r) = 4*r + 44. Let w be h(-19). Let a be ((-264)/w - 8)*-6. Suppose 7*k - 20 = 3*k + v, 0 = -3*k - 4*v - 4. Put 2/3, k, a in ascending order. a, 2/3, k Let y(c) = -14 + c**2 + 0*c**2 + 8*c + 0*c**2 + 34. Let h be y(-11). Let t = -55 + h. Sort -5, 2, -3, t in ascending order. -5, -3, t, 2 Suppose -2187*x + 11 = -2198*x. Sort -5, 119, x, 1 in descending order. 119, 1, x, -5 Let y be -13 + 16/2 + 4. Suppose p = -2*d - 6, 8*d - 4*d + 2 = 3*p. Suppose -4 - 2 = -2*j. Sort j, p, y, 0 in descending order. j, 0, y, p Let o = -151.5 - -152. Sort 5, 1, o, -0.3, -16. -16, -0.3, o, 1, 5 Let f be (-27 - -2)/175 + 4/126. Let l = 2 + -1.994. Sort -2/5, l, f in decreasing order. l, f, -2/5 Suppose -1 = 7*k - 8*k. Suppose -31*n - 82 = -4*v - 33*n, v - 2*n - 28 = 0. Put v, k, -3, -1 in decreasing order. v, k, -1, -3 Let z = 305 - 121. Let u = z - 93. Put 4, u, 0.2 in decreasing order. u, 4, 0.2 Let s = 4097 - 3718.76. Let t = s - 371. Let p = t - 7.2. Sort 3, 0, p, -0.2 in descending order. 3, p, 0, -0.2 Suppose 158 + 132 = 5*f. Let m be ((-120)/(-5))/3 + -3. Put -5, f, m in descending order. f, m, -5 Let c = 469 - 472. Suppose 3*f - 7*z + 2*z = 49, 2*z = -2*f + 6. Put 10/11, c, f in descending order. f, 10/11, c Suppose 6*t + 19*t = -75. Sort t, -7, -2 in descending order. -2, t, -7 Let u = -846 + 846. Put u, -5, 1, 3, 10 in decreasing order. 10, 3, 1, u, -5 Suppose 0 = 598*p - 629*p + 434. Sort p, -5, -22 in decreasing order. p, -5, -22 Let u = -224.768 + 222. Let f = 0.232 - u. Sort -2.3, f, 0.2, -5 in decreasing order. f, 0.2, -2.3, -5 Let o(l) = 68*l + 8. Let i be o(-2). Let h be 2 + 8/(i/(-420)). Let n = -3043/108 + h. Sort -1, 1, n in decreasing order. 1, n, -1 Let j = 9.7 + 26.3. Let h = 46 - 11. Let y = h - j. Sort -5/3, 2/9, 0.1, y in increasing order. -5/3, y, 0.1, 2/9 Suppose 3277*c = 3358*c + 243. Sort -22, c, 0 in descending order. 0, c, -22 Let r = 3.983 - 3.963. Put 1, r, 0.5, -16 in decreasing order. 1, 0.5, r, -16 Let k = -0.5 - -0.2. Let a be 808/336 - 2 - 35/490. Put a, k, -4, 2 in decreasing order. 2, a, k, -4 Let i(y) = 300*y. Let q be i(0). Sort q, -5, 3, -42 in decreasing order. 3, q, -5, -42 Let j = 3209 - 3206. Let w = -0.3 + 20.3. Let n = w + -20. Sort 0.5, 1, n, j in descending order. j, 1, 0.5, n Suppose -554*h + 5*o - 5365 = -549*h, 0 = 3*h + 4*o + 3212. Sort h, 1, -3, -1. h, -3, -1, 1 Suppose -3*m - 27 = 3*x, 18*m - 21*m - 31 = 4*x. Sort 3, x, 112 in decreasing order. 112, 3, x Let r = -95.9 - 20.1. Let c = r + 115.6. Sort 0, c, 0.2, -3 in descending order. 0.2, 0, c, -3 Suppose 27*k - 42 = -15*k. Let x = -22 - -9. Let m = x - -18. Sort m, -0.3, k, 3 in increasing order. -0.3, k, 3, m Let s be (-24)/(-4) - (84/(-15))/((-6)/(-15)). Sort s, 3, -25. -25, 3, s Suppose 25 = -4*d - 5*v, 2000*d - 6 = 2002*d - 4*v. Sort 1, d, -2, -36. -36, d, -2, 1 Let z(d) = -d**3 - 7*d**2 + 17*d - 1. Let n be z(-9). Let s = 1 + n. Let o = 569 - 9675/17. Put s, o, -3/2 in descending order. s, o, -3/2 Let j be (-14)/((5 + -13)/4). Suppose 3*p - 12 = 0, -16*p = 5*o - 21*p + 45. Sort j, -3, 4, o. o, -3, 4, j Let o = 3 - 2.5. Let l be 0 + 1*(-10 - -6). Let y be 2/l*((-5)/(-2) + 0). Sort y, 2, o in decreasing order. 2, o, y Suppose 0 = -6*o + 13*o - 112. Let r(l) = -6*l**2 + 20*l + 12. Let j(x) = 5*x**2 - 19*x - 12. Let p(d) = -5*j(d) - 4*r(d). Let n be p(o). Sort n, 2, -1. n, -1, 2 Let z = 155 + -191.7. Let r = 85 + -122. Let y = z - r. Put -2/3, -1, -2/13, y in descending order. y, -2/13, -2/3, -1 Let p = 5132 + -5111. Sort -26, 2, p in increasing order. -26, 2, p Suppose -r + 39 = -4*r + q, -4*q = -12. Let y be (-2 + 5)*(-5 - -3)/2. Sort r, y, -7 in increasing order. r, -7, y Suppose 0 = -7*r - 97 + 853. Suppose r = -20*p - 72. Put 2/5, 1, 0.1, p in decreasing order. 1, 2/5, 0.1, p Let g be ((-24)/(-28) + -2)*(-3)/36. Let m = 376 + -261. Let r = m + -119. Sort r, g, -6 in decreasing order. g, r, -6 Let f be (-165)/25 + 7*12/14. Sort -4, f, -0.4, 1/7, 2 in decreasing order. 2, 1/7, -0.4, f, -4 Let h(f) = -f**2 + 8*f + 18. Let a be h(10). Let z = -16.05 - -15.55. Put 0, z, -0.3, a in decreasing order. 0, -0.3, z, a Suppose 47*v = 41*v - 24. Sort 66, 0, v in descending order. 66, 0, v Let y(f) = -f**3 + 23*f**2 + 78*f + 5. Let v be y(26). Suppose -14 = -3*s - x, x = 5*x + 16. Sort v, s, 4, 0 in descending order. s, v, 4, 0 Let t be (-6)/21 + 162/(-21). Let h = t - -13. Sort 18, -3, h. -3, h, 18 Let l = 778 - 760. Let n = -104 - -100. Put n, -2, 1, l in increasing order. n, -2, 1, l Let o = 2 + -11. Let n = -20 + 32. Sort n, o, 2/3 in decreasing order. n, 2/3, o Let q = 23.92 - 23.72. Sort 2/3, -0.045, q, 6. -0.045, q, 2/3, 6 Let d = 1188/7 + -170. Let g = 28340 + -28337. Put g, 3/8, d, -0.4 in increasing order. -0.4, d, 3/8, g Let s = 1085 - 546. Let n = 544 - s. Put n, 12, -2, -4 in descending order. 12, n, -2, -4 Let s(o) = 24*o + 52. Let q(w) = 16*w + 35. Let c(l) = 7*q(l) - 5*s(l). Let d be c(-7). Suppose -3*m + 4 + 5 = 0. Put 5, d, m in descending order. d, 5, m Suppose 120*b - 113*b = 147. Suppose 0 = -3*g + 3*q - 3, b*q - 23*q = -2. Sort g, 33, -4, -5 in increasing order. -5, -4, g, 33 Let i(m) = 3*m**2 + 61*m + 15. Let s be i(-20). Let h be 1722/(-105) + 2/5. Sort -4, s, h. h, s, -4 Suppose -14*t + 56013 = 56195. Put -3, -29, t in descending order. -3, t, -29 Let f = 65.71 + -65.91. Sort -95, f, -3/7, 5 in descending order. 5, f, -3/7, -95 Let z = -199 - -3783/19. Let k be (-2)/21 + (-7389)/(-189) + 1. Suppose -56*y - k = -60*y. Put z, -4, y in decreasing order. y, z, -4 Suppose -4*o = -5*j - 0*o + 238, -j - 5*o = -36. Let p = j - 41. Suppose -13*x + p*x = 16. Sort 0.2, x, 1/4, 0 in ascending order. x, 0, 0.2, 1/4 Let s = -20.8 - -21. Let r = -98 - -1076/11. Let t = 691 - 1381/2. Put r, t, s, -0.4 in descending order. t, s, r, -0.4 Let q = 649 + -348. Let u = q - 4513/15. Let n = -0.4415 - -0.5415. Sort u, 2/7, n in descending order. 2/7, u, n Let x = -2.3 - -0.3. Suppose 7 = -36*h + 29*h. Let z be (3 + h)*(1 - 0). Put -5, z, x in descending order. z, x, -5 Suppose 3*a + 2*z = -131, -4*a = -58*z + 61*z + 176. Let y = -7 + 11. Sort y, 3, a. a, 3, y Let m(p) be the second derivative of p**4/12 - 2*p**3/3 - 3*p. Let q be m(5). Let y be -6 + 3 - 1/((-2)/2). Sort -4, -5, q, y in decreasing order. q, y, -4, -5 Suppose o + 30 = 2*f - 26, 0 = -5*f + 5*o + 140. Suppose 5*s = s + f. Suppose s*k + k + 8 = 0. Put 3, k, 6, 4 in ascending order. k, 3, 4, 6 Let q(o) = -6*o**2 + 46*o - 148. Let y be q(4). Sort 23, y, 0 in decreasing order. 23, 0, y Let o = 222.655 - -3.345. Sort -1, 2/13, o, -0.5 in decreasing order. o, 2/13, -0.5, -1 Let d = 44.11 - 50.7. Let u = -6.29 - d. Let f = 1 - 1. Put 3, f, -0.1, u in descending order. 3, u, f, -0.1 Let m(l) = -l**2 - 13*l - 4. Let c be m(-13). Let a(j) = -j**3 + 8*j**2 + 5*j - 42. Let p be a(8). Put -6, p, c, 0 in ascending order. -6, c, p, 0 Suppose 0*r - 413 = 16*r - 5901. Sort -2, r, 2 in increasing order. -2, 2, r Let o(w) = 25*w - 31. Let z be o(13). Let q = 296 - z. Sort -5, q, 29, 1 in descending order. 29, q, 1, -5 Let y = -0.2 - -2.2. Let j = -257 - -261. Let k = -36.319 + -0.681. Put y, k, j in ascending order. k, y, j Let s = -509/11 + 7657/165. Put -3.7, 5, s in decreasing order. 5, s, -3.7 Let g = 383 - 386. Sort g, 1, -424. -424, g, 1 Let r be ((-3)/2)/((-40)/16). Let h = 34 + -34.3. Sort 2, -3, r,
{ "pile_set_name": "DM Mathematics" }
3 - 456*w**2 + 1172*w - 630. -2*(w - 1)**2*(w + 9)*(w + 35) Find j, given that 4*j**3 - 248*j**2 - 780*j = 0. -3, 0, 65 Factor r**2/2 + 11*r/2 + 5. (r + 1)*(r + 10)/2 Factor y**3/4 - 27*y**2/4 + 60*y - 175. (y - 10)**2*(y - 7)/4 Factor 2*s**3/5 - 5*s**2 - 13*s/5. s*(s - 13)*(2*s + 1)/5 Factor 2*n**2/7 - 582*n/7 - 252. 2*(n - 294)*(n + 3)/7 Find z, given that -4*z**4 - 48*z**3 + 116*z**2 + 48*z - 112 = 0. -14, -1, 1, 2 Solve -a**3/2 + 5*a**2 + a/2 - 5 = 0 for a. -1, 1, 10 Determine f so that 9*f**3/4 + 3*f**2/2 - 3*f/4 = 0. -1, 0, 1/3 Find k such that k**5 - 108*k**3 - 432*k**2 = 0. -6, 0, 12 Find i such that i**2/6 + 34*i/3 - 70/3 = 0. -70, 2 Find l such that -2*l**5/3 - 2*l**4/3 + 2*l**3/3 + 2*l**2/3 = 0. -1, 0, 1 Let 2*b**2 - 90*b - 188 = 0. What is b? -2, 47 Factor -3*i**2/4 - 9*i + 21. -3*(i - 2)*(i + 14)/4 Factor -2*a**2/17 - 10*a. -2*a*(a + 85)/17 Find c such that -2*c**5/3 - 4*c**4/3 + 4*c**3 + 8*c**2/3 - 26*c/3 + 4 = 0. -3, -2, 1 Factor -9*a**4 + 12*a**3 - 3*a**2. -3*a**2*(a - 1)*(3*a - 1) Let 3*q**2/5 + 744*q/5 + 1152 = 0. What is q? -240, -8 Factor 3*k**3 + 3*k**2 - 3*k - 3. 3*(k - 1)*(k + 1)**2 Factor 2*i**2 - 8*i + 6. 2*(i - 3)*(i - 1) Factor -t**5 - 12*t**4 - 21*t**3 - 10*t**2. -t**2*(t + 1)**2*(t + 10) Factor 2*d**4/9 - 2*d**3/9 - 2*d**2/3 + 2*d/9 + 4/9. 2*(d - 2)*(d - 1)*(d + 1)**2/9 Solve 3*t**5/2 - 21*t**4/2 + 27*t**3/2 + 21*t**2/2 - 15*t = 0 for t. -1, 0, 1, 2, 5 Factor k**3 - 41*k**2 + 218*k - 280. (k - 35)*(k - 4)*(k - 2) Let i**5 + 18*i**4 + 55*i**3 - 18*i**2 - 56*i = 0. Calculate i. -14, -4, -1, 0, 1 Factor 2*s**2/3 - 156*s + 1840/3. 2*(s - 230)*(s - 4)/3 Let 2*n**4/19 - 148*n**3/19 + 142*n**2/19 + 292*n/19 = 0. Calculate n. -1, 0, 2, 73 Factor -2*i**4/3 + 28*i**3/3 - 40*i**2 + 208*i/3 - 128/3. -2*(i - 8)*(i - 2)**3/3 Determine q, given that -4*q**4 - 1708*q**3 - 8440*q**2 = 0. -422, -5, 0 Factor -2*y**2/7 + 18*y/7 + 20/7. -2*(y - 10)*(y + 1)/7 Solve -4*y**2/7 + 80*y/7 + 176/7 = 0 for y. -2, 22 Determine x so that 3*x**3 + 201*x**2 + 381*x - 585 = 0. -65, -3, 1 Factor -2*r**4/9 + 16*r**3/9 + 22*r**2/9 - 4*r. -2*r*(r - 9)*(r - 1)*(r + 2)/9 What is a in -2*a**3/5 - 4*a**2/5 + 10*a + 20 = 0? -5, -2, 5 Let d**5/3 - 41*d**4 + 4079*d**3/3 - 18353*d**2/3 + 9440*d - 13924/3 = 0. Calculate d. 1, 2, 59 Suppose l**3/4 + 17*l**2/2 + 16*l = 0. Calculate l. -32, -2, 0 Factor -v**3/3 + 17*v**2/3 + 80*v/3 + 28. -(v - 21)*(v + 2)**2/3 Find g, given that 12*g**5 - 47*g**4/4 - 27*g**3/2 + 13*g**2 + 3*g/2 - 5/4 = 0. -1, -1/3, 5/16, 1 Determine k so that -3*k**3 - 3*k**2 + 3*k + 3 = 0. -1, 1 Determine q, given that -2*q**3/7 - 72*q**2/7 - 264*q/7 - 256/7 = 0. -32, -2 Factor -3*t**3/5 - 2817*t**2/5 - 131976*t + 132540. -3*(t - 1)*(t + 470)**2/5 Factor c**2 + 24*c + 144. (c + 12)**2 Find t, given that 2*t**2/7 + 10722*t/7 + 10720/7 = 0. -5360, -1 Factor -3*n**3/5 - 21*n**2/5 + 1764*n/5. -3*n*(n - 21)*(n + 28)/5 Solve -t**2/4 - 176*t + 353 = 0. -706, 2 Factor 3*m**2 + 87*m - 288. 3*(m - 3)*(m + 32) Factor -2*a**4 - 5024*a**3 - 4732608*a**2 - 1981385216*a - 311077478912. -2*(a + 628)**4 What is a in 2*a**3/15 + 4*a**2/3 - 22*a/15 = 0? -11, 0, 1 Find s, given that -2*s**3 - 222*s**2 + 1148*s - 1392 = 0. -116, 2, 3 Suppose -v**4/7 + 8*v**3/7 + 20*v**2/7 = 0. What is v? -2, 0, 10 Factor -5*j**2 - 190*j - 680. -5*(j + 4)*(j + 34) Find j such that 4*j**2/3 - 720*j + 2156/3 = 0. 1, 539 Suppose -3*u**2 + 315*u + 642 = 0. What is u? -2, 107 Factor -3*m**3 + 216*m**2 - 4284*m + 13872. -3*(m - 34)**2*(m - 4) Solve 3*h**3/4 - 3*h/4 = 0. -1, 0, 1 Find d such that -5*d**4 - 35*d**3 - 85*d**2 - 85*d - 30 = 0. -3, -2, -1 Find m, given that 12*m**5 - 124*m**4 + 244*m**3 - 164*m**2 + 32*m = 0. 0, 1/3, 1, 8 Determine t so that -t**5 - 32*t**4 - 356*t**3 - 1648*t**2 - 3264*t - 2304 = 0. -12, -4, -2 Factor o**4/3 + 14*o**3/3 + 13*o**2/3. o**2*(o + 1)*(o + 13)/3 Factor -3*r**2/2 + 861*r - 247107/2. -3*(r - 287)**2/2 Factor 3*o**2/7 - 90*o/7 - 648/7. 3*(o - 36)*(o + 6)/7 Let 64*q**3 + 1040*q**2 + 257*q + 16 = 0. Calculate q. -16, -1/8 Factor 5*v**2 + 9750*v + 4753125. 5*(v + 975)**2 Find q, given that -q**2/7 + 17*q/7 + 200/7 = 0. -8, 25 Factor 2*z**2 + 54*z - 648. 2*(z - 9)*(z + 36) Determine k so that -5*k**3 - 665*k**2 - 21775*k + 22445 = 0. -67, 1 Factor 5*z**5 - 1235*z**4 - 21990*z**3 - 118260*z**2 - 143640*z + 285120. 5*(z - 264)*(z - 1)*(z + 6)**3 Factor -2*h**4 + 22*h**3 - 52*h**2 + 32*h. -2*h*(h - 8)*(h - 2)*(h - 1) Factor -4*q**2/7 - 80*q/7 - 256/7. -4*(q + 4)*(q + 16)/7 Let -z**3/4 + 4*z**2 - 25*z/4 - 21/2 = 0. What is z? -1, 3, 14 Suppose k**2 + 56*k + 108 = 0. Calculate k. -54, -2 Let 5*m**2 - 2230*m + 248645 = 0. What is m? 223 Solve -12*g**4/7 - 68*g**3/7 - 12*g**2/7 + 132*g/7 - 40/7 = 0 for g. -5, -2, 1/3, 1 Factor -3*v**2 + 12*v + 63. -3*(v - 7)*(v + 3) Factor 245*y**2 - 3990*y + 16245. 5*(7*y - 57)**2 Factor -3*k**2/5 + 648*k/5 - 34992/5. -3*(k - 108)**2/5 Factor -t**3/4 - 39*t**2/4 + 43*t. -t*(t - 4)*(t + 43)/4 Determine x, given that 4*x**4 - 232*x**3/5 + 752*x**2/5 - 792*x/5 + 252/5 = 0. 3/5, 1, 3, 7 What is j in 2*j**3/7 + 2*j**2 - 36*j/7 = 0? -9, 0, 2 Determine j, given that 6*j**5 + 190*j**4 + 82*j**3 - 1366*j**2 - 2008*j - 744 = 0. -31, -2, -1, -2/3, 3 Factor 14*u**3 + 220*u**2 + 832*u - 256. 2*(u + 8)**2*(7*u - 2) Determine t, given that 3*t**4 - 3*t**3 - 9*t**2 + 3*t + 6 = 0. -1, 1, 2 Factor d**3 + 8*d**2 + 19*d + 12. (d + 1)*(d + 3)*(d + 4) Factor -4*k**2 - 2968*k - 550564. -4*(k + 371)**2 Find l, given that -l**2/4 + 170*l - 28900 = 0. 340 Factor 3*f**2 + 378*f + 1815. 3*(f + 5)*(f + 121) Let 3*y**2 + 63*y - 486 = 0. Calculate y. -27, 6 Determine k, given that k**4 + 9*k**3 + 15*k**2 + 7*k = 0. -7, -1, 0 Factor -5*k**3 - 4695*k**2 - 1469535*k - 153321485. -5*(k + 313)**3 Factor 2*u**3/7 - 4*u**2/7 - 2*u/7 + 4/7. 2*(u - 2)*(u - 1)*(u + 1)/7 Factor 3*a**3/2 + 357*a**2/2 - 735*a/2 - 1089/2. 3*(a - 3)*(a + 1)*(a + 121)/2 Factor 2*g**4 + 12*g**3 + 18*g**2 - 8*g - 24. 2*(g - 1)*(g + 2)**2*(g + 3) Determine n so that 2*n**4/7 + 8*n**3/7 - 6*n**2 = 0. -7, 0, 3 Determine y so that 62*y**2/5 + 98*y/15 + 4/5 = 0. -1/3, -6/31 Suppose -9*h**3 + 1185*h**2 - 38808*h - 13068 = 0. Calculate h. -1/3, 66 Find v such that v**4 - 72*v**3 + 1816*v**2 - 18720*v + 67600 = 0. 10, 26 Factor 8*x**5/5 - 18*x**4/5 + 4*x**3/5. 2*x**3*(x - 2)*(4*x - 1)/5 Factor 2*z**3/11 + 131*z**2/11 - 67*z/11 - 6. (z - 1)*(z + 66)*(2*z + 1)/11 Factor g**2/2 + 1043*g + 1087849/2. (g + 1043)**2/2 Factor 3*z**4 - 135*z**3 + 1701*z**2 - 3969*z. 3*z*(z - 21)**2*(z - 3) Factor -4*h**4 + 20*h**3 + 88*h**2 + 64*h. -4*h*(h - 8)*(h + 1)*(h + 2) Let -6*o**3/5 - 652*o**2/5 + 222*o/5 + 436/5 = 0. Calculate o. -109, -2/3, 1 Factor y**4/3 + y**3 + 2*y**2/3. y**2*(y + 1)*(y + 2)/3 Factor 121*j**2/4 + 33*j + 9. (11*j + 6)**2/4 Factor -h**5/5 + 6*h**4/5 - 9*h**3/5. -h**3*(h - 3)**2/5 Suppose 2*l**3/13 - 216*l**2/13 + 424*l/13 = 0. What is l? 0, 2, 106 Let 5*k**5 - 35*k**4 + 80*k**3 - 60*k**2 = 0. Calculate k. 0, 2, 3 Find a, given that 4*a**4 - 416*a**3 + 14280*a**2 - 156800*a - 171500 = 0. -1, 35 Let 5*z**2/2 - 11350*z + 12882250 = 0. Calculate z. 2270 What is z in -2*z**4/15 - 4*z**3/3 - 22*z**2/5 - 88*z/15 - 8/3 = 0? -5, -2, -1 Suppose 2*w**2 - 268*w = 0. Calculate w. 0, 134 Factor -4*z**3 - 12*z**2 + 112*z + 240. -4*(z - 5)*(z + 2)*(z + 6) Solve 4*b**4/7 - 60*b**3/7 - 4*b**2/7 + 60*b/7 = 0 for b. -1, 0, 1, 15 Find w, given that 2*w**3/9 + 190*w**2/9 - 196*w/3 = 0. -98, 0, 3 Factor -16*y**2 - y/3. -y*(48*y + 1)/3 Factor 2*r**3/3 - 1562*r**2/3. 2*r**2*(r - 781)/3 Factor -5*s**3 - 260*s**2 - 505*s - 250. -5*(s + 1)**2*(s + 50) Factor g**3/5 - 4*g**2/5 - 12*g/5. g*(g - 6)*(g + 2)/5 Factor 5*m**2 + 450*m + 10125. 5*(m + 45)**2 Factor -5*a**3/4 + 135*a**2/4 - 115*a. -5*a*(a - 23)*(a - 4)/4 Factor 4*z**3 + 356*z**2 - 3860*z + 9900. 4*(z - 5)**2*(z + 99) Let -5*u**2/2 + 75*u - 140 = 0. What is u? 2, 28 Solve -u**2/5 + 64*u - 319/5 = 0. 1, 319 Factor 4*z**5 + 56*z**4 - 128*z**3. 4*z**3*(z - 2)*(z + 16) Determine p so that 2*p**3/5 + 36*p**2/5 - 2*p/5 - 36/5 = 0. -18, -1, 1 Factor 3*o**4/4 + 15*o**3/4 - 9*o**2/4 - 51*o/4 - 15/2. 3*(o - 2)*(o + 1)**2*(o + 5)/4 Factor -o**4/5 - 32*o**3/5 - 352*o**2/5 - 1536*o/5 - 2304/5. -(o + 4)**2*(o + 12)**2/5 Suppose 6*k**3 + 118*k**2 + 184*k + 72 = 0. What is k? -18,
{ "pile_set_name": "DM Mathematics" }
f: 6, g: 1}. 1/85 Two letters picked without replacement from {k: 1, u: 3, o: 2, e: 1, y: 1, r: 3}. What is prob of sequence yk? 1/110 What is prob of sequence jla when three letters picked without replacement from {a: 2, b: 5, j: 9, l: 3}? 3/323 Three letters picked without replacement from {d: 4, b: 10}. Give prob of sequence ddd. 1/91 Calculate prob of sequence bb when two letters picked without replacement from rrbbbbbbbbrrbb. 45/91 Two letters picked without replacement from {o: 1, y: 1, p: 1}. What is prob of sequence yo? 1/6 Calculate prob of sequence gvv when three letters picked without replacement from {g: 4, v: 14}. 91/612 Two letters picked without replacement from {l: 9, j: 4, w: 1}. What is prob of sequence wl? 9/182 Calculate prob of sequence ru when two letters picked without replacement from {d: 1, u: 2, r: 4, n: 2}. 1/9 What is prob of sequence ml when two letters picked without replacement from mmzzlmm? 2/21 Two letters picked without replacement from {i: 1, t: 8, p: 6}. What is prob of sequence tt? 4/15 What is prob of sequence mmm when three letters picked without replacement from {m: 6}? 1 Calculate prob of sequence ss when two letters picked without replacement from {k: 3, u: 3, j: 7, s: 5, z: 1}. 10/171 What is prob of sequence bkv when three letters picked without replacement from {n: 2, k: 2, b: 9, v: 1}? 3/364 Two letters picked without replacement from aapapplpaaaapl. Give prob of sequence pp. 10/91 Two letters picked without replacement from {l: 3, m: 3, w: 1, x: 1, h: 1, o: 2}. Give prob of sequence hw. 1/110 What is prob of sequence zh when two letters picked without replacement from {z: 4, n: 3, v: 2, h: 1}? 2/45 Two letters picked without replacement from {v: 3, z: 3, w: 2, y: 1, s: 1}. Give prob of sequence yz. 1/30 Calculate prob of sequence dt when two letters picked without replacement from {d: 2, m: 5, y: 3, u: 2, t: 3}. 1/35 Two letters picked without replacement from {s: 1, m: 2, p: 1, l: 1}. What is prob of sequence ls? 1/20 Three letters picked without replacement from {r: 6, z: 8, i: 1, c: 2, p: 1}. What is prob of sequence crz? 1/51 Calculate prob of sequence ii when two letters picked without replacement from {i: 4, b: 2}. 2/5 Two letters picked without replacement from mmmmnmmnnmmmmm. Give prob of sequence mm. 55/91 Two letters picked without replacement from poooop. What is prob of sequence oo? 2/5 What is prob of sequence wdw when three letters picked without replacement from pwpdppwpdd? 1/120 What is prob of sequence rbe when three letters picked without replacement from {e: 1, b: 1, d: 1, r: 1, t: 1}? 1/60 What is prob of sequence ww when two letters picked without replacement from {i: 5, d: 3, w: 2}? 1/45 What is prob of sequence offo when four letters picked without replacement from {o: 3, f: 5}? 1/14 Calculate prob of sequence wmww when four letters picked without replacement from mmquqwqwmwmqwqww. 1/91 Two letters picked without replacement from {x: 1, d: 2, c: 2, s: 3, j: 4}. Give prob of sequence jj. 1/11 Three letters picked without replacement from {y: 2, k: 4, m: 1, p: 6}. Give prob of sequence kyp. 4/143 Calculate prob of sequence ym when two letters picked without replacement from muymmmmmumpmuuumm. 5/136 Four letters picked without replacement from tggttytytotttgto. What is prob of sequence yoto? 3/3640 Calculate prob of sequence mgg when three letters picked without replacement from {m: 17, g: 3}. 17/1140 Two letters picked without replacement from fmcctffcccctcpf. What is prob of sequence mp? 1/210 Calculate prob of sequence cu when two letters picked without replacement from sssuusshscuuusus. 1/40 Two letters picked without replacement from gvvvfgff. Give prob of sequence vg. 3/28 What is prob of sequence ddd when three letters picked without replacement from djddjjddijd? 4/33 Two letters picked without replacement from {o: 3, t: 7, f: 3}. What is prob of sequence tt? 7/26 Calculate prob of sequence oooo when four letters picked without replacement from vvvvvvvvvovvovvvvooo. 1/969 Four letters picked without replacement from uuuuuu. Give prob of sequence uuuu. 1 Calculate prob of sequence wep when three letters picked without replacement from {w: 2, e: 2, h: 7, b: 4, p: 1}. 1/840 Three letters picked without replacement from gberbbvvevgv. What is prob of sequence gbg? 1/220 Two letters picked without replacement from hdrrhhhnrnzrhrhrrhrx. What is prob of sequence zd? 1/380 Two letters picked without replacement from qmagyhhqmagmhmmghqhg. Give prob of sequence ma. 1/38 What is prob of sequence ku when two letters picked without replacement from {u: 4, k: 14}? 28/153 What is prob of sequence esh when three letters picked without replacement from ehsseee? 4/105 Three letters picked without replacement from {a: 1, s: 2, h: 2, x: 1, v: 1}. What is prob of sequence sah? 2/105 Calculate prob of sequence fy when two letters picked without replacement from sfffffefefyfsffe. 1/24 Four letters picked without replacement from {c: 3, b: 3, q: 4, n: 2, e: 6, r: 1}. What is prob of sequence enec? 5/2584 Calculate prob of sequence iyye when four letters picked without replacement from iyeyk. 1/60 Four letters picked without replacement from jttttttttjjtttttjttt. Give prob of sequence jttt. 112/969 Calculate prob of sequence jjn when three letters picked without replacement from {w: 1, j: 3, n: 1}. 1/10 Calculate prob of sequence rgff when four letters picked without replacement from rfcccccccgggrcfdcff. 1/1292 Three letters picked without replacement from {o: 3, w: 3}. What is prob of sequence wow? 3/20 Two letters picked without replacement from {x: 1, j: 1, d: 4, c: 2}. Give prob of sequence dd. 3/14 What is prob of sequence twtw when four letters picked without replacement from twtggtttttw? 7/660 Three letters picked without replacement from {y: 1, v: 2, s: 1, f: 1, t: 1, u: 2}. What is prob of sequence tyv? 1/168 What is prob of sequence xtx when three letters picked without replacement from xtx? 1/3 What is prob of sequence afll when four letters picked without replacement from {f: 10, p: 1, l: 3, a: 4}? 1/306 What is prob of sequence okk when three letters picked without replacement from kokkokokok? 1/6 Calculate prob of sequence dk when two letters picked without replacement from yynnynnknyyyxyd. 1/210 What is prob of sequence na when two letters picked without replacement from {n: 9, a: 2}? 9/55 Calculate prob of sequence oot when three letters picked without replacement from {o: 3, t: 1, d: 1}. 1/10 Four letters picked without replacement from {s: 2, c: 4, k: 2, r: 1, n: 5, v: 1}. What is prob of sequence vskk? 1/8190 What is prob of sequence oo when two letters picked without replacement from xooooooo? 3/4 What is prob of sequence du when two letters picked without replacement from wduuuudd? 3/14 Calculate prob of sequence bm when two letters picked without replacement from ebmbpmpepbpb. 2/33 Three letters picked without replacement from {t: 1, u: 17, a: 1}. What is prob of sequence tua? 1/342 Four letters picked without replacement from ussuuussuusu. What is prob of sequence suss? 7/198 Two letters picked without replacement from {b: 4, z: 2}. What is prob of sequence zz? 1/15 Calculate prob of sequence bb when two letters picked without replacement from {i: 7, c: 2, f: 1, b: 5, s: 1, g: 1}. 5/68 Calculate prob of sequence rf when two letters picked without replacement from {q: 3, r: 3, f: 2}. 3/28 What is prob of sequence nnng when four letters picked without replacement from nnnngnnnngg? 7/55 Calculate prob of sequence si when two letters picked without replacement from sistixssitxisxx. 2/21 Three letters picked without replacement from {b: 2, c: 5, w: 1, t: 6, l: 1}. What is prob of sequence tcw? 1/91 Calculate prob of sequence ai when two letters picked without replacement from aziazzzazii. 9/110 Two letters picked without replacement from {b: 1, j: 4, l: 2}. Give prob of sequence jl. 4/21 Three letters picked without replacement from inxznzhnhphphnnnx. Give prob of sequence hxi. 1/510 Three letters picked without replacement from lllllouuu. Give prob of sequence uou. 1/84 What is prob of sequence vv when two letters picked without replacement from vvvv? 1 Four letters picked
{ "pile_set_name": "DM Mathematics" }
uppose 3*p + 4*c = 7*p - 56, 2*c + 4 = 0. Let a = 0 + 3. Is 9 a factor of 196/16 - a/p? False Let j = 736 + -330. Is 58 a factor of j? True Let u(y) = -2*y**3 + 3*y**2 + 7*y + 7. Let m be u(-5). Suppose -4*o + m = -o. Is 33 a factor of o? True Suppose 0*i - 9 = -3*i. Suppose 56 = -3*s + b, 24 = i*s + 4*b + 85. Let w = 41 - s. Does 15 divide w? True Let u(f) = -2*f - 5. Let s be u(-6). Is 7/147*-3 + 988/s a multiple of 47? True Let z = -93 - -148. Is 5 a factor of z? True Let b(d) be the first derivative of -d**2/2 - 3*d + 9. Let x be b(-6). Suppose -2*f + 61 = -5*m, -5*m - 10 = -x*f + 94. Is 8 a factor of f? False Let u(m) = -3*m + 13. Let q be u(5). Is 12 a factor of 93/q*160/(-60)? False Let x = -11 - -7. Is 15 a factor of (-628)/(-6) + x/(-12)? True Suppose -3*s + 3*y + 15 = -0*s, 5*y + 19 = -s. Let v be (3*(-1)/s)/1. Is 9 a factor of 1 - (v - 32)*1? True Let i(p) = -p**3 - 41*p**2 + 22*p - 12. Is 46 a factor of i(-42)? True Let i be -1 + (-1)/((-1)/4). Suppose -8*j + 413 = -51. Let k = j - i. Is 12 a factor of k? False Let z(f) = 2*f**2 - 21*f - 368. Is z(-10) a multiple of 4? False Suppose -8*l + 18 = 2. Let c = 252 + -168. Does 11 divide (l*1)/(6/c)? False Let z(b) = b**3 + 5*b**2 - 8*b + 88. Is 25 a factor of z(-6)? True Let u = -580 + 1141. Does 33 divide u? True Suppose n + 4 = -24. Let s = 48 + n. Does 20 divide s? True Suppose 96 = -0*s + 4*s. Let m = s + -18. Let d = m + 11. Is d a multiple of 9? False Let g = 86 - -60. Does 52 divide g? False Suppose -13*u + 4*k + 61 = -12*u, 0 = -k + 2. Is 9 a factor of u? False Let k(h) = -100*h - 2. Let q be k(-2). Is q/5*(-10)/(-4) a multiple of 13? False Suppose 9*k - 105 = 2*k. Is 15 a factor of k? True Let s be ((-7)/21)/(1/6). Let q be (2/4)/(s/48). Does 16 divide 14/(-3)*90/q? False Let u = -1188 - -2819. Is u a multiple of 11? False Let m be 4/(4/(-8)*-1). Suppose 3*p - p = 5*k - 20, k - 4 = 3*p. Suppose -m = -a + k. Does 12 divide a? True Suppose -5 = -c - 0. Suppose 4*w + c*m = 7, -w + m - 2*m + 1 = 0. Let n = 37 + w. Is 21 a factor of n? False Suppose j + 111 + 13 = -2*z, 2*z + 5*j = -132. Let c = z + 88. Is c a multiple of 5? False Suppose -c = a - 917, -3*a + 1834 = -3*c + 5*c. Does 17 divide c? False Let v = 2848 + -1615. Is 15 a factor of v? False Is (-15)/(-9)*14889/35 a multiple of 34? False Let g(u) = -59*u + 89. Is 11 a factor of g(-7)? False Suppose 36*w + 8042 - 26258 = 0. Is w a multiple of 46? True Suppose y - 2*q = 3*q - 24, -2*y - 3*q + 17 = 0. Let g be ((-13)/y)/(-2 + 3). Let r = g + 23. Is 10 a factor of r? True Let t = -48 + 119. Suppose t - 17 = 3*x. Is x a multiple of 9? True Let s = -3749 - -5562. Is 18 a factor of s? False Suppose -24*p + 35*p = 550. Does 25 divide p? True Suppose m - o = 2*o - 12, 4*m + 8 = 4*o. Suppose m*g = p + 156, -3*p = 5*g + 203 - 477. Is g a multiple of 17? False Let z be 31/5 + 20/(-100). Does 33 divide (-24)/z - 37*-1? True Let a(h) be the third derivative of -h**6/120 - h**5/6 - h**4/12 + 2*h**3/3 - 4*h**2. Let p(g) = -g**2 - g - 4. Let n be p(-3). Does 19 divide a(n)? False Suppose 80 = 3*y - 5*f + 15, -31 = -y + 4*f. Is 4 a factor of y? False Let x(u) = -u - 2. Let v be x(-4). Suppose 0 = -v*f - 2*s + 16, s - 6 - 6 = -2*f. Suppose f*p + 2*w = 34, 42 = 5*p - 0*p + 2*w. Is 5 a factor of p? False Suppose 0 = 5*g - 10 - 5. Suppose 5*y - g*f = 382, 2*f = y + f - 76. Is y a multiple of 31? False Suppose 0 = -i + 1, 395 + 97 = 3*q - 3*i. Suppose -q = -5*f + 285. Is 16 a factor of f? False Let t(v) = v**2 - v + 2. Let c be t(6). Let s be (c/(-40))/((-1)/30). Suppose 0 = p - s + 8. Is 16 a factor of p? True Suppose 31*t + 616 - 2693 = 0. Is t even? False Let l(n) = -2*n + 3. Let y be l(-3). Let s be 29/(-9) - 2/(-9). Let t = y + s. Is 2 a factor of t? True Let b(q) = q**2 + 6*q - 5. Let d be b(-7). Suppose j + 2 - 6 = 0, 28 = 5*u + d*j. Suppose 3*y - 29 = 2*y + u*s, y + 5*s - 56 = 0. Does 13 divide y? False Suppose 3*v - 9 = 0, m - v + 27 = -3*m. Does 11 divide (11*3)/(m + 7)? True Let a(z) = z**3 + 6*z**2 + 25*z + 140. Let o be a(-6). Let s(g) = 0*g**3 - 2*g - 15*g + 2 - 11*g**2 - g**3. Does 12 divide s(o)? True Suppose -17*w + 52 = -13*w. Suppose o + 15 = w. Let d(f) = -f**3 - 2*f**2 - 2*f. Is d(o) even? True Let t be ((-22)/10 - -3)*-5. Let r = t + 8. Suppose w - 18 = -a, -w + r*w = -4*a + 69. Is a a multiple of 15? True Suppose -5*x + 1735 = -5*m, -17*x = -15*x + 5*m - 666. Is 5 a factor of x? False Suppose -7*j + 5831 - 511 = 0. Does 74 divide j? False Let g(u) = u**3 + 13*u**2 - u - 68. Is g(-8) a multiple of 31? False Let q(b) be the third derivative of b**4/4 - 2*b**3/3 + b**2. Let i be q(5). Let r = i - 8. Does 6 divide r? True Let o be 6/21 - 46/14. Let w(v) = -v + 1. Let z(x) = 15*x - 9. Let d(y) = -5*w(y) - z(y). Is 7 a factor of d(o)? False Let w(s) be the first derivative of 4*s**2 - 15*s - 5. Does 14 divide w(8)? False Let k = 134 + 139. Does 7 divide k? True Suppose 7*x - 10*x = 12. Does 13 divide (-32 + 6)/(1/x)? True Suppose 2*h - 4 = 0, 2*j - 3*h = j - 2. Suppose -j*c = 8 + 120. Does 9 divide -1 - (c/2)/1? False Let m = 34 + -29. Suppose -m*q + 292 = -43. Does 14 divide q? False Does 8 divide (84 + -197)/((-1)/1)? False Let a = 60 + -128. Let j be (10/8)/(17/a). Is 13 a factor of (14/j)/(4/(-60))? False Suppose 3*f + 49 = 5*w + 6*f, -2*f - 26 = -4*w. Suppose 0 = 10*o - w*o - 96. Is 5 a factor of o? False Let g(v) = -3*v + 108. Let p be g(0). Is (5/2)/(6/p) a multiple of 9? True Is 11/(-66) + (-166707)/(-54) a multiple of 9? True Suppose -1694 - 1866 = -8*k. Is k a multiple of 37? False Suppose 4*d - 696 = 4*y, 5*d - 2*y - 1287 = -429. Does 17 divide d? True Suppose -7*h + 2 = -6*h. Suppose -h*b - 39 - 11 = 0. Let n = b - -40. Does 12 divide n? False Suppose 0 = -5*g + 1082 - 302. Let f = -84 + g. Does 7 divide f? False Let o = 159 + -120. Is 10 a factor of o? False Suppose 0 = -3*k + 3*y + 21, 0 = k + y - 17 + 2. Is k a multiple of 11? True Suppose 0 = -5*z + 21 + 4, -3*r - z + 23 = 0. Suppose -r*j + j + 455 = 0. Is 13 a factor of j? True Let u = 1117 - 397. Does 45 divide u? True Let m = -15 - -18. Let o(i) = -i**3 + 4*i**2 - 2*i + 1. Let n be o(m). Suppose 4*w - 2*s - 16 + n = 0, 0 = -3*s. Is 3 a factor of w? True Suppose 3*t + 165 = 4*u + 1417, 5*u = -5*t + 2075. Is 16 a factor of t? True Let w(n) = 2*n**2 + 4*n + 4. Let v(j) = -j**2 + 3*j - 2. Let r be v(4). Let l be w(r). Is 9 a factor of ((-12)/(-8))/(6/l)? False Let f = -7 + 19. Suppose -42 + f = -i. Suppose i = -0*a + a. Is 15 a factor of a? True Let c be (1 - (-10)/(-8)) + 14/(-8). Does 6 divide (c + (-784)/12)/(4/(-6))? False Suppose -q + g - 5 - 7 = 0, -q - 12 = 4*g. Does 7 divide (0 + 1)/(-6) + (-194)/q? False Let c(s) = -3*s + 27. Let h = 44 + -44. Does 27 divide c(h)? True Let d be 10/2 + -1 + -1. Suppose 94 - 484 = -d*h. Is h a multiple of 28? False Let l(a) = 10*a**2 - a. Suppose 4*s - 10 = 2. Is l(s) a multiple of 28? False Let l be 8/1 + 4/(-1). Suppose 0 = -l*o - o + 490. Is o a multiple of 14? True Suppose 3*d - 56 = 28. Suppose f - 29 - d = -5*g, -3*f - 4*g + 215 = 0. Is f a multiple of 14? False Suppose z + 24 = -3*r - r, 2*r = z. Let w = -18 - z. Does 3 divide -3 - -4 - (w - 3)? False Let b(t) = t**2 - 5*t - 12. Let s be 13 - 9/(9/2). Is 6 a factor of b(s)? True Let k(l) = l**3 + 19*l**2 + 42*l + 32. Does 67 divide k(-12)? True Let j(p) = 197*p + 428. Is 7 a factor of j(6)? True Let n(d) = 2*d**2 - 9*d. Let m = 0 + 8. Is n(m) a multiple of 18? False Let b = 1724 + -918. Does 20 divide b? False Let h be 43/4 - (-3)/12. Let u = -12 + h. Let o(f) = -29*f**3 - f - 2. Is 10 a factor of o(u)? False Let p be 12/(-4) + 2 - -107. Suppose -3*n = -6*n + x - 58, 5*n + p = -3*x. Let g = 31 - n. Is g a multiple of 15? False Suppose -30 = -28*h + 25*h. Suppose 6*z = z + h. Suppose -7 = 3*o + 8, 5*a = z*o + 280. Is 18 a factor of a? True Let p(x) be the third derivative of x**4/4 - x**3/6 + x**2. Suppose -38 = -3*s - w + 6*w, -3*s - 2 = 5*w. Is p(s) a multiple of 12? False Let p(m) = -m + 9. Let l be p(5). Suppose 0 = 4*t - 4*y - 24, -3*t - 3*y - 14 = -5*t. Suppose -w - t*v = -0*v - 14, -5*w = -l*v - 142. Does 26 divide w? True Suppose 1953 = 7*s - 1365. Does 52 divide s? False Let k = -13 + 22. Suppose -9 = -f - 3*n, n = -f + 5*n + k. Does 9 divide ((-54)/10)/(f
{ "pile_set_name": "DM Mathematics" }
4344? 4 What is the thousands digit of 5481? 5 What is the thousands digit of 27431? 7 What is the units digit of 54194? 4 What is the tens digit of 53? 5 What is the hundreds digit of 4906? 9 What is the hundreds digit of 79040? 0 What is the units digit of 2417? 7 What is the hundreds digit of 391? 3 What is the units digit of 6485? 5 What is the thousands digit of 2286? 2 What is the tens digit of 2018? 1 What is the hundreds digit of 37538? 5 What is the thousands digit of 21889? 1 What is the tens digit of 2477? 7 What is the ten thousands digit of 105869? 0 What is the units digit of 110784? 4 What is the tens digit of 25414? 1 What is the hundreds digit of 903? 9 What is the hundreds digit of 69512? 5 What is the hundreds digit of 1247? 2 What is the hundreds digit of 5011? 0 What is the hundreds digit of 2233? 2 What is the thousands digit of 47860? 7 What is the hundreds digit of 1274? 2 What is the tens digit of 928? 2 What is the tens digit of 2714? 1 What is the thousands digit of 9125? 9 What is the hundreds digit of 3304? 3 What is the thousands digit of 39180? 9 What is the units digit of 1829? 9 What is the hundreds digit of 6839? 8 What is the tens digit of 3847? 4 What is the tens digit of 8675? 7 What is the tens digit of 3865? 6 What is the thousands digit of 2709? 2 What is the hundreds digit of 2375? 3 What is the tens digit of 5999? 9 What is the thousands digit of 1542? 1 What is the units digit of 3570? 0 What is the units digit of 1040? 0 What is the ten thousands digit of 19710? 1 What is the thousands digit of 39098? 9 What is the hundreds digit of 1159? 1 What is the units digit of 1665? 5 What is the ten thousands digit of 23125? 2 What is the tens digit of 676? 7 What is the hundreds digit of 43081? 0 What is the ten thousands digit of 70491? 7 What is the tens digit of 13507? 0 What is the thousands digit of 26033? 6 What is the thousands digit of 3833? 3 What is the hundreds digit of 1875? 8 What is the hundreds digit of 1434? 4 What is the tens digit of 31415? 1 What is the thousands digit of 25273? 5 What is the hundred thousands digit of 169892? 1 What is the units digit of 5377? 7 What is the units digit of 4374? 4 What is the tens digit of 7426? 2 What is the hundreds digit of 15349? 3 What is the tens digit of 504? 0 What is the units digit of 709? 9 What is the units digit of 97429? 9 What is the tens digit of 13206? 0 What is the units digit of 4543? 3 What is the tens digit of 934? 3 What is the tens digit of 459? 5 What is the hundreds digit of 5802? 8 What is the tens digit of 554? 5 What is the hundreds digit of 2362? 3 What is the units digit of 3810? 0 What is the thousands digit of 2105? 2 What is the tens digit of 913? 1 What is the tens digit of 758? 5 What is the units digit of 16474? 4 What is the hundreds digit of 131? 1 What is the hundreds digit of 111132? 1 What is the thousands digit of 1279? 1 What is the hundreds digit of 14607? 6 What is the hundreds digit of 580? 5 What is the hundreds digit of 49395? 3 What is the hundreds digit of 9349? 3 What is the units digit of 17231? 1 What is the hundreds digit of 13750? 7 What is the units digit of 254? 4 What is the thousands digit of 16741? 6 What is the hundreds digit of 1403? 4 What is the tens digit of 3095? 9 What is the tens digit of 9692? 9 What is the hundreds digit of 5679? 6 What is the units digit of 1361? 1 What is the ten thousands digit of 72155? 7 What is the thousands digit of 1831? 1 What is the ten thousands digit of 42876? 4 What is the units digit of 1927? 7 What is the units digit of 1783? 3 What is the hundreds digit of 26341? 3 What is the hundreds digit of 475? 4 What is the ten thousands digit of 11145? 1 What is the thousands digit of 14117? 4 What is the tens digit of 23193? 9 What is the units digit of 5283? 3 What is the units digit of 257? 7 What is the hundreds digit of 4111? 1 What is the units digit of 5852? 2 What is the hundreds digit of 198? 1 What is the tens digit of 130215? 1 What is the units digit of 4492? 2 What is the units digit of 11072? 2 What is the hundreds digit of 5012? 0 What is the hundreds digit of 3581? 5 What is the hundreds digit of 211? 2 What is the hundreds digit of 4206? 2 What is the tens digit of 10639? 3 What is the hundreds digit of 5186? 1 What is the hundreds digit of 57699? 6 What is the hundreds digit of 25645? 6 What is the units digit of 1400? 0 What is the units digit of 2169? 9 What is the tens digit of 1899? 9 What is the hundreds digit of 457? 4 What is the tens digit of 454? 5 What is the ten thousands digit of 47365? 4 What is the tens digit of 469? 6 What is the thousands digit of 158757? 8 What is the tens digit of 1024? 2 What is the tens digit of 135? 3 What is the thousands digit of 59795? 9 What is the units digit of 13? 3 What is the tens digit of 102437? 3 What is the units digit of 309? 9 What is the hundreds digit of 627? 6 What is the ten thousands digit of 19252? 1 What is the tens digit of 7556? 5 What is the tens digit of 703? 0 What is the units digit of 2678? 8 What is the hundreds digit of 35650? 6 What is the hundreds digit of 3929? 9 What is the hundreds digit of 1920? 9 What is the hundreds digit of 65679? 6 What is the tens digit of 136060? 6 What is the thousands digit of 6089? 6 What is the units digit of 5562? 2 What is the hundreds digit of 8571? 5 What is the hundreds digit of 78329? 3 What is the thousands digit of 27735? 7 What is the ten thousands digit of 21344? 2 What is the thousands digit of 14773? 4 What is the units digit of 39580? 0 What is the tens digit of 1390? 9 What is the tens digit of 7902? 0 What is the thousands digit of 161085? 1 What is the ten thousands digit of 107924? 0 What is the units digit of 1092? 2 What is the hundreds digit of 645? 6 What is the units digit of 460? 0 What is the tens digit of 8559? 5 What is the units digit of 1433? 3 What is the hundreds digit of 1536? 5 What is the ten thousands digit of 19296? 1 What is the units digit of 6208? 8 What is the hundreds digit of 2370? 3 What is the thousands digit of 16510? 6 What is the units digit of 1700? 0 What is the units digit of 1859? 9 What is the hundreds digit of 96707? 7 What is the hundreds digit of 13359? 3 What is the tens digit of 528? 2 What is the tens digit of 1196? 9 What is the tens digit of 686? 8 What is the hundreds digit of 812? 8 What is the thousands digit of 47684? 7 What is the thousands digit of 2695? 2 What is the tens digit of 575? 7 What is the tens digit of 40994? 9 What is the units digit of 461? 1 What is the units digit of 4870? 0 What is the units digit of 355? 5 What is the tens digit of 30852? 5 What is the units digit of 35050? 0 What is the thousands digit of 37171? 7 What is the hundreds digit of 5797? 7 What is the ten thousands digit of 17160? 1 What is the hundreds digit of 8269? 2 What is the thousands digit of 1321? 1 What is the thousands digit of 7186? 7 What is the tens digit of 98381? 8 What is the units digit of 34297? 7 What is the tens digit of 2560? 6 What is the tens digit of 9232? 3 What is the tens digit of 367? 6 What is the units digit of 23108? 8 What is the units digit of 66? 6 What is the units digit of 869? 9 What is the units digit of 893? 3 What is the hundreds digit of 445? 4 What is the units digit of 6867? 7 What is the ten thousands digit of 145137? 4 What is the units digit of 2587? 7 What is the tens digit of 9109? 0 What is the hundreds digit of 411? 4 What is the hundreds digit of 889? 8 What is the tens digit of 88184? 8 What is the hundreds digit of 277? 2 What is the thousands digit of 22241? 2 What is the ten thousands digit of 11054? 1 What is the ten thousands digit of 37566? 3 What is the hundreds digit of 2196? 1 What is the tens digit of 1195? 9 What is the hundreds digit of 760? 7 What is the hundred thousands digit of 140250? 1 What is the tens digit of 61074? 7 What is the hundreds digit of 5697? 6 What is the hundreds digit of 134? 1 What is the tens digit of 8028? 2 What is the hundreds digit of 880? 8 What is the units digit of 1516? 6 What is the tens digit of 3559? 5 What is the units digit of 6605? 5 What is the units digit of 1947? 7 What is the hundreds digit of
{ "pile_set_name": "DM Mathematics" }
(d) 1 (e) 4 d What is the biggest value in -19, -3/13, -3? -3/13 What is the fourth biggest value in -3, 2, -24, 0.2? -24 Which is the second biggest value? (a) -3 (b) 9 (c) 1/39 c Which is the smallest value? (a) -4 (b) -2.71 (c) 0.7 a What is the third smallest value in -4/9, -2/7, 294, 2/11, 0.1? 0.1 Which is the third biggest value? (a) -0.1 (b) -113 (c) 4/9 b What is the third biggest value in 2, 0.4, 1/4? 1/4 Which is the fourth smallest value? (a) -1/4 (b) 0.1 (c) -7 (d) -1/2 b Which is the third smallest value? (a) 1 (b) -21 (c) 5 (d) 3 d What is the second biggest value in 0, 0.4, -103? 0 What is the second smallest value in -1, -207, -3? -3 Which is the second smallest value? (a) -0.3 (b) 10 (c) 0.5 (d) -2/23 d Which is the biggest value? (a) -0.2 (b) 751 (c) 4 b What is the fourth biggest value in 6/19, -2, 5, 3, -0.5? -0.5 What is the smallest value in 2/13, 4/33, -5? -5 Which is the biggest value? (a) -1/5 (b) 56 (c) -6 (d) 4 b What is the biggest value in 2, -3/8, 35.9, 2/7? 35.9 What is the third biggest value in -1, 15, -5? -5 What is the second smallest value in -3, -0.3, -99, -2/15? -3 What is the fourth biggest value in 2/11, -1/3, 1/9, 1/3? -1/3 Which is the smallest value? (a) 0.01 (b) 0.2 (c) -9/4 (d) 0 c Which is the second smallest value? (a) 7 (b) -2/291 (c) -2 (d) 1/2 b Which is the biggest value? (a) 2/5 (b) -44/3 (c) -5 (d) 3/7 (e) 5 e What is the fourth smallest value in -1, 4, -58, 0.5? 4 Which is the second biggest value? (a) 3 (b) -196 (c) 1 (d) -1 (e) -5 c What is the biggest value in -4, 0.155, 1/7? 0.155 What is the third smallest value in -4.6, 10, 3? 10 What is the smallest value in -4, -8, -1, 1/2, -59? -59 Which is the smallest value? (a) -0.115 (b) 1/8 (c) -3/2 (d) -5/2 d What is the fourth biggest value in -4/5, 0.1, -9/5, -2, -0.4? -9/5 Which is the fourth smallest value? (a) -1/3 (b) 0.6 (c) -30 (d) 0.3 b What is the smallest value in 9, 0.095, 0? 0 Which is the third biggest value? (a) 1/322 (b) -1/17 (c) 5 b What is the third smallest value in 0.2, -27/23, -1, -0.2? -0.2 What is the third smallest value in 0.3, 4, -21.7, -3? 0.3 What is the third biggest value in 1/6, 3/8, 1, 87? 3/8 What is the fourth smallest value in 4, -2/9, -1, 734? 734 What is the second smallest value in -0.1, -6, -1/12, -0.4? -0.4 Which is the fifth biggest value? (a) -1 (b) 1/5 (c) -1/2 (d) 199 (e) -5 e Which is the second smallest value? (a) 0 (b) 1/7 (c) -3 (d) -48 c Which is the third smallest value? (a) 4/7 (b) -3 (c) 9.8 c Which is the fifth biggest value? (a) -10 (b) -14 (c) 3 (d) 2/7 (e) -2 b Which is the second smallest value? (a) 1/4 (b) -115 (c) 6/5 a Which is the second biggest value? (a) -0.4 (b) 1 (c) -2 (d) -2/13 d Which is the second smallest value? (a) 0 (b) -2 (c) -10/11 (d) -6 (e) -1/5 b What is the third biggest value in 3/8, -1/3, 6, -1? -1/3 Which is the third biggest value? (a) 99 (b) -3 (c) 0.5 b What is the biggest value in 0.3, -4/3, 1/63, -2/3? 0.3 What is the fourth biggest value in -1, 14, -45, -5? -45 What is the third smallest value in 17, 5, -9? 17 Which is the third biggest value? (a) -1/8 (b) -1 (c) 26 (d) 3 (e) -0.4 a Which is the biggest value? (a) 44 (b) -3/4 (c) -1/6 (d) 1 (e) 0.1 a Which is the second smallest value? (a) -0.5 (b) -2/13 (c) -1/6 (d) 46 c Which is the third biggest value? (a) 0 (b) -2 (c) -66 c What is the biggest value in 2, -5, 2/31? 2 Which is the smallest value? (a) -3 (b) -18/7 (c) 0.5 (d) -2 (e) -1/8 a What is the smallest value in 0.5, -25, 4, -2, -0.8? -25 What is the second biggest value in -2/3, 1, -0.2, -0.08? -0.08 Which is the second smallest value? (a) -3 (b) -0.09 (c) 0.3 b Which is the fifth smallest value? (a) -0.009 (b) 3/4 (c) 2 (d) 21 (e) 0 d Which is the second biggest value? (a) -1.7 (b) 4 (c) -180 a Which is the second biggest value? (a) -3 (b) -294 (c) 1 a What is the biggest value in -5, 1, 0.36, -4/3? 1 Which is the fifth biggest value? (a) 1 (b) -10 (c) 0.1 (d) -0.2 (e) 2/15 b Which is the second smallest value? (a) -10/167 (b) 0 (c) -5 a Which is the third smallest value? (a) -4/3 (b) 317 (c) -0.2 b What is the smallest value in -0.9, 4/3, 0.031? -0.9 What is the fourth smallest value in 0.27, 33, -0.2, -3? 33 Which is the smallest value? (a) 3 (b) 5 (c) -1/2 (d) 0.05 (e) -10 e What is the second biggest value in -3, -4.03, 5, -5? -3 Which is the fourth biggest value? (a) 4/3 (b) 0.004 (c) 0 (d) 1 c What is the smallest value in -6, -5, 2/9, -3/2? -6 Which is the second biggest value? (a) 2/7 (b) 0 (c) -69 (d) 2/17 d What is the smallest value in 2/15, 1/190, 0.4, 2/9? 1/190 Which is the second biggest value? (a) 36 (b) 8 (c) 1 b What is the third smallest value in -2, 471, 0.3, 1/7? 0.3 Which is the second smallest value? (a) 0.4 (b) 0.112 (c) -2 b Which is the second biggest value? (a) -0.4 (b) 1/371 (c) 1/3 b Which is the fourth smallest value? (a) -1/4 (b) -6 (c) -2 (d) -0.16 d What is the second smallest value in -1/6, -0.2, 1/38? -1/6 Which is the second biggest value? (a) -3 (b) 0.4 (c) 3/8 c What is the fourth biggest value in -1, -222, 1/6, 1? -222 What is the second smallest value in 0.3, -2/11, -3, -2/7, 2/3? -2/7 Which is the third smallest value? (a) 33.3 (b) -0.5 (c) 3 a What is the smallest value in 0.06, 1/8, 0.1? 0.06 Which is the second biggest value? (a) 7 (b) -3 (c) 8/3 c Which is the second biggest value? (a) 1 (b) 1/5 (c) 3 (d) -78 a What is the second biggest value in -0.3, -1/2, 4, 171? 4 What is the fourth biggest value in 0.32, -1, -3.8, -2/15? -3.8 What is the smallest value in -9, -2, 4, -3, 37? -9 Which is the third smallest value? (a) -12 (b) -4/7 (c) 3/4 c Which is the smallest value? (a) 14/5 (b) 5 (c) 0.1 (d) -2/5 d What is the fifth biggest value in 1, 2/43, -2, 2, 0.9? -2 What is the third biggest value in 0.2, 0.04, 0.5? 0.04 Which is the smallest value? (a) 3/2 (b) -278 (c) 10 b What is the third smallest value in 6, -0.3, 3, -4? 3 Which is the biggest value? (a) 4 (b) 3/56 (c) -1/2 a What is the fourth smallest value in -0.21, 2/9, -3, -0.1, 4? 2/9 Which is the second biggest value? (a) -0.2 (b) -2/43 (c) -16 a What is the second biggest value in -5, -4, 6/91? -4 Which is the biggest value? (a) 14 (b) -5 (c) -9 (d) 3 a Which is the second smallest value? (a) -2/5 (b) -4/7 (c) -112 b Which is the biggest value? (a) -1 (b) 8/21 (c) 0.2 b What is the third smallest value in 0, -1.9, -205? 0 What is the second biggest value in 2/3, -0.042, -1/5? -0.042 Which is the second biggest value? (a) -1/6 (b) 9 (c) 1/26 (d) -1/2 c Which is the second smallest value? (a) -27 (b) -2/7 (c) 0.5 (d) 3 b What is the second smallest value in -86, 0.3, -5, 2? -5 Which is the third biggest value? (a) -0.02 (b) 12 (c) -1/4 c Which is the second biggest value? (a) 2/9 (b) -3 (c) 55 (d) 4 (e) 3 d Which is the third biggest value? (a) 1 (b) -41 (c) -0.2 (d) 5/4 c Which is the third biggest value? (a) 11 (b) -0.5 (c) -0.25 b Which is the third smallest value? (a) -84/11 (b) 3 (c) 2/11 (d) -5/3 c What is the smallest value in 1/11, 6/41, 0.4, -0.4? -0.4 What is the fourth biggest value in -4, 0, -2, -1/32? -4 Which is the biggest value? (a) -5 (b) 0.5 (c) -18 (d) -5/14 b What is the third biggest value in 4, -2/9, 5, 2/5, -1/2? 2/5 What is the biggest value in -5/3, 2, 3/137, -4? 2 What is the smallest value in 7, -3, 5, -2/13? -3 What is the third smallest value in 1/3, 26, -2? 26 Which is the second smallest value? (a) -2/7 (b) -10 (c) -2 c What is the biggest value in 2/797, 5, -0.2, -5? 5 Which is the second biggest value? (a) -2 (b) -50.1 (c) -2/7 a Which is the third smallest value? (a) -2/53 (b) -65 (c) 2/7 c Which is the third smallest value? (a) 2/3 (b) 2/7 (c) 941 c Which is the third biggest value? (a) 14 (b) -5 (c) -4 b Which is the fourth smallest value? (a) -0.1 (b) -3 (c) 1/6 (d) -15 c What is the second biggest value in -2/7, 1, 0.4? 0.4 What is the fourth smallest value in 4/7, -1.2, -5, -0.004? 4/7 Which is the third smallest value? (a) 5 (b) -0.16 (c) -26 a Whi
{ "pile_set_name": "DM Mathematics" }
ggest value in n, 18/13, t? n Let o be ((-43)/(-38))/((-14)/4). Let l = -133 + 928/7. Let j = o - l. Which is the smallest value? (a) 1 (b) j (c) -1 c Let k = 95.75 + -92.75. Which is the fifth smallest value? (a) -0.21 (b) k (c) 2 (d) 1 (e) -4 b Let u = 9075 + -9053. What is the second biggest value in -0.163, u, -4? -0.163 Let u = 184.64 + -184. Let x = u - 0.44. Which is the third smallest value? (a) x (b) -1 (c) 2/3 c Let p = 1 - 1.1. Let w = p + 2.1. Let l = 2059 + -2065. Which is the second biggest value? (a) 3 (b) w (c) l b Let d be (2/3)/(125/60 - 2). Let x(m) = m**3 - 7*m**2 - 6*m + 17. Let s be x(d). Which is the second biggest value? (a) 3 (b) 2/3 (c) s a Let l be (-1707)/924 - 18/(-126). Let u = l - -27/11. What is the second biggest value in 0.3, u, 3/2, 68? 3/2 Let o be (-2)/3*(-33)/44 - (-14)/84. What is the biggest value in -0.041, o, -0.1, 5, -3/5? 5 Let p be 5*(-1 + 2/10). Let y be (-22)/15 - (-132)/54*(-276)/(-506). Which is the second smallest value? (a) p (b) -2 (c) y (d) -0.5 b Let n(u) = -65*u - 218. Let w be n(-3). Let c = -27 - w. Let p(l) = -l**3 + 5*l**2 - 6. Let i be p(5). What is the third smallest value in i, -0.1, c? -0.1 Suppose 4*w = 3*f + 30 - 90, -4*f = 4*w - 52. Let i be (-1)/12*f/6. Suppose 5384 = 1346*l - 2692. Which is the biggest value? (a) 3 (b) i (c) l (d) -2/11 c Let p = 8.857 + -2.857. What is the third biggest value in -5, p, 4/9? -5 Let x = 8067 - 8066.92. Which is the second smallest value? (a) 1 (b) -3 (c) x (d) -2/99 d Let q = 0.383 + 0.017. Let p be -1*1/(-4) - (-10)/(-8). Let n be p/2*6/(-30)*-2. Which is the fourth smallest value? (a) 1/4 (b) n (c) q (d) 5 d Let g = 9446 - 9446. Let v = 0.03 - -0.37. What is the second biggest value in g, v, -1, 2? v Let u be (5/(-6))/((-90)/(-81)). Let o(v) = -v + 1. Let w be o(1). Which is the smallest value? (a) 12 (b) -1 (c) w (d) u b Let k = -31090 - -31091. Let j = 3/323 - -3197/3553. Which is the third biggest value? (a) k (b) j (c) 2 b Let h = -602 - -1698. Which is the second smallest value? (a) 0.2 (b) -1/2 (c) h (d) -4 b Let j = 299 + -229. Let q = j + -70.1. Which is the second biggest value? (a) -4 (b) -5 (c) q a Let g = 0.6 - 0.46. Let z = 312.36 - 312. Let o = z + g. What is the biggest value in 0, -2/13, o? o Let g = -1.5358 + 1.0358. Which is the smallest value? (a) -7 (b) g (c) 18 (d) 0 (e) 0.1 a Let u = 1716 - 1718. What is the biggest value in -9, u, -11? u Let b = -25.702 + 25.802. Let q = -0.3 - 0.2. What is the smallest value in -164, 2, b, q? -164 Let k(x) = 16*x**2 + 96*x. Let p be k(-6). Which is the fourth smallest value? (a) -31 (b) -2 (c) p (d) 1/3 d Let z be 3 - 1 - 2/2. Let s = z - 0. Let u = 12396 + -12391. Which is the second biggest value? (a) s (b) u (c) 3/5 a Suppose 129 = 4*s - 5*s + 2*m, -3*s = 2*m + 427. Let u = 139 + s. Which is the biggest value? (a) 3 (b) u (c) 3/8 (d) 0.04 a Let u = 161 + -102. Let q = u + -59.33. Let j = q - -0.33. Which is the smallest value? (a) 0.2 (b) 0.6 (c) j c Let i be 3/(-5)*(1482/(-104) - -13). What is the fourth smallest value in 1.21, 1, -5/4, i? 1.21 Let x = -13 + -56. Let r = 215.5 + -215.6. Which is the second smallest value? (a) 0.4 (b) x (c) r c Let s = 12386.4 - 12388. What is the biggest value in s, -1/4, -3? -1/4 Let u = -5716 + 5715.5. What is the biggest value in 3/13, -1, 0, -0.1, u? 3/13 Let s be (-8)/(-12)*(-6)/(-4). Let x = 33084 - 33147. Which is the second biggest value? (a) x (b) s (c) -2/5 c Let f(d) = d**3 - 11*d**2 + 30*d - 334. Let t be f(11). What is the smallest value in 7, -32, t, -1/3? -32 Let j = -19728 + 157825/8. Which is the smallest value? (a) j (b) -2/11 (c) -28/9 c Let y = -54617/13 + 4199. Let a = -98/65 - y. Let z = 3.2 - 3.2. What is the smallest value in -0.4, z, a, 15? -0.4 Let g(p) = p**3 - 9*p**2 + 5*p - 39. Let j be g(9). Let r be (0 + j + -9)*(0 + 1). What is the biggest value in r, 0.1, 0.5? 0.5 Let g = -1606.9 - -1607. Which is the second smallest value? (a) 1 (b) -1/4 (c) g (d) -7.7 b Let h = -4539 + 4538.93. Which is the third smallest value? (a) -81 (b) h (c) -4 b Suppose 0 = y + 818 - 342. Let l = 474 + y. Which is the biggest value? (a) l (b) 9/11 (c) 0.4 (d) 2 d Suppose 250*g - 3600 = -470*g. Let w = -5.7 + 6. What is the fourth smallest value in g, -0.4, w, -10? g Let r(p) = 7*p - 2*p + 34 - 7*p. Let m be r(18). Let l = 23.5 + -23.45. Which is the smallest value? (a) -0.5 (b) m (c) 1 (d) l b Let b = -998/5 - -199. Let i = 0.04238 - 425.96238. Let k = i - -426. What is the second smallest value in b, -2, k? b Let y = 19114/7 + -516064/189. What is the smallest value in y, -5, 2, -0.8, -0.5? -5 Let w = -19739 - -19739.35. What is the smallest value in w, -1/4, -10? -10 Let l = -148737 - -148738. Let i = 1.2 + 5.8. What is the biggest value in i, l, 0.1, 2/11? i Let g = -1.76 - -16.36. Let v = 14.2 - g. Let d = 212 - 5726/27. What is the third biggest value in v, -2, d? -2 Let t = -0.02925 + -0.37075. Which is the biggest value? (a) -155 (b) t (c) -18 b Let s = 2055 + -2051. Suppose -3*f + 16 = -5*f. Let a be (-1)/(-2)*f/(-36). What is the third biggest value in 0.3, a, s? a Let m(p) = 191*p - 2884. Let j be m(16). Which is the biggest value? (a) j (b) -0.7 (c) -5 a Let y = 29749555/2627716 - 2/93847. Let x = -47/4 + y. What is the second smallest value in -8, 0.3, x? x Let r = -4145.137 - -4145. Which is the second biggest value? (a) -1/4 (b) -2/7 (c) r a Let r be (-11 - (-789)/15) + (-54)/15 + 4. What is the third biggest value in -7, r, -6? -7 Let f = -66.92 - -66.82. What is the smallest value in f, -4, 7, 0.1, 9/2? -4 Let o be (85/544)/((-12)/(-88)) + (-2)/6. Which is the second smallest value? (a) 0.1 (b) -5 (c) o (d) -4 d Let i be 9/(418/19 + -31). Let y = -17 - -26. What is the second smallest value in i, y, 0, 0.5? 0 Suppose -4*n + 5*p - 279 = 0, 0*n = n - 3*p + 61. Let t = -227/3 - n. Which is the fourth smallest value? (a) t (b) 3 (c) 0.1 (d) -7 b Let o = -84.12 + 81. Let v = o + 0.12. Let s = -180 - -2342/13. Which is the second smallest value? (a) s (b) -0.3 (c) v b Let z be 11/((-616)/96) + 770/735. Which is the second smallest value? (a) 2 (b) -0.3 (c) 13446 (d) z b Let u(o) = 379*o + 3490. Let z be u(-9). What is the fifth biggest value in 5, -5, 4, -0.3, z? -5 Let l = 42912.5 + -42913. Which is the third smallest value? (a) l (b) 4 (c) 1/37 (d) -1 c Let r be ((-323)/(-152))/(-17) - (-203)/(-168). Let f = -52/9 - -77/18. What is the second smallest value in -8, 3, f, r? f Let j = -4 - -4.4. Let u be (7/(-9))/7*1. Let d = 1691 - 1691.2. What is the smallest value in j, u, -1, d? -1 Let y = -203.8 + 200.8. Which is the fifth biggest value? (a) -430 (b) -2/3 (c) y (d) -5 (e) -4 a Suppose 43*p - 1262 = -1391. What is the smallest value in 2/15, -8, p, 1, 2? -8 Let d be (-1)/4 + (1 - (-690)/(-600)). What is the fourth biggest value in d, -2/35, -5, 21/5? -5 Let d be 2/10 - (-68)/10. Let r = 69 + -97. Let m be (-16)/r*1*d/6. What is the smallest value in 3/11, -0.5, m, 0.3? -0.5 Let m = -2727 - -2724. What is the second biggest value in 4, m, -285? m Let m = -0.85 + -0.15. Let t be (3/2)/(15/40). Let l be -2 - ((-465)/100 + t/16). Which is the biggest value? (a) m (b) l (c) 1 b Let f be ((6/16)/1)/((-9)/6). Suppose 13 = -5*y - 5*i - 2, -17 = -y + 3*i. What is the third smallest value in -5, 0, y, f? 0 Let v = -0.0839 - -0.3839. Let j = -283851/20 - -14182. Let x = j - -52/5. Which is the second biggest value? (a) x (b) v (c) -0.5 a Let r = -104 + -75. Let k = -204 - r. Let j = 0.5 + -0.8. What is the third smallest value in -5, j, k? j Let a = -200.6 - -204.6. Let s = 2.85 - -0.15. What is the third smallest value in s, a, -8? a Let q = 937 + -936.93. What is the fourth smallest value in 3, q, 1/7, 0? 3 Let g be (-9)/3*(-6)/54. Let p = -38.5 - -30.5. What is the second biggest value in g, 1, p? g Let q = 180 + -181. Let l = -6.8 + 2.8. Which is the second biggest value? (a) l (b) q (c) -6 (d) -2/5 b Let m = 13 + -23. Let o = 55.7 + -46. Let n = -11.7 + o. What is the third smallest value in n, -2/11, m? -2/11 Let i = -165.3 + 165.055. Which is the biggest value? (a) i (b) -1 (c) 0 c Let p(n) =
{ "pile_set_name": "DM Mathematics" }
025900 How many days are there in 34.814844 minutes? 0.024176975 How many millimeters are there in fifty-seven halves of a centimeter? 285 What is 11/2 of a century in decades? 55 What is eighteen fifths of a litre in millilitres? 3600 How many seconds are there in 17/2 of a minute? 510 How many nanometers are there in thirty-seven halves of a micrometer? 18500 Convert 2.380005 months to decades. 0.019833375 What is 27/2 of a millimeter in micrometers? 13500 How many milligrams are there in 5467.632ng? 0.005467632 Convert 4.949496 years to months. 59.393952 What is 69.83004mm in meters? 0.06983004 What is twenty-eight thirds of a week in minutes? 94080 What is 0.3540686 minutes in nanoseconds? 21244116000 How many nanometers are there in 0.7245251um? 724.5251 What is 4.656942 millilitres in litres? 0.004656942 What is 4339.688m in millimeters? 4339688 What is 11/4 of a litre in millilitres? 2750 What is 25/8 of a milligram in micrograms? 3125 How many millilitres are there in 18/5 of a litre? 3600 How many millilitres are there in 13.13565l? 13135.65 What is twenty-one halves of a decade in years? 105 How many decades are there in 61/4 of a millennium? 1525 What is 0.8409985 micrometers in meters? 0.0000008409985 How many centimeters are there in 9/10 of a kilometer? 90000 What is 5.645759 hours in seconds? 20324.7324 Convert 3.301578 litres to millilitres. 3301.578 What is 1.97431ng in micrograms? 0.00197431 What is 3/5 of a microgram in nanograms? 600 What is 28.71822 litres in millilitres? 28718.22 How many millilitres are there in 29202.74 litres? 29202740 Convert 2.93691nm to kilometers. 0.00000000000293691 How many grams are there in 3/25 of a kilogram? 120 What is 0.0841643 years in months? 1.0099716 What is 589426.9 weeks in microseconds? 356485389120000000 Convert 988.6146g to kilograms. 0.9886146 How many decades are there in twenty-five halves of a century? 125 What is 744.8977 millilitres in litres? 0.7448977 Convert 9398.132 millilitres to litres. 9.398132 What is 21/8 of a litre in millilitres? 2625 How many centimeters are there in 28.08086 kilometers? 2808086 Convert 148.5525 millennia to decades. 14855.25 Convert 9.273319ml to litres. 0.009273319 How many milligrams are there in 804.2891 tonnes? 804289100000 What is 44/5 of a litre in millilitres? 8800 What is 0.081315cm in millimeters? 0.81315 What is 1/10 of a kilometer in millimeters? 100000 What is 3463.233nm in millimeters? 0.003463233 What is twenty-one eighths of a decade in months? 315 How many milliseconds are there in one quarter of a second? 250 How many millilitres are there in 0.188545 litres? 188.545 Convert 5.786629cm to kilometers. 0.00005786629 What is one fifth of a kilometer in centimeters? 20000 What is 529646.1 millilitres in litres? 529.6461 Convert 3319.132 millilitres to litres. 3.319132 What is 9135.047m in nanometers? 9135047000000 How many grams are there in 33/5 of a kilogram? 6600 How many millilitres are there in twenty-five halves of a litre? 12500 How many kilograms are there in 7/2 of a tonne? 3500 How many micrometers are there in twenty-seven fifths of a millimeter? 5400 Convert 124823.8782 nanoseconds to weeks. 0.0000000002063886875 What is 9.355523 meters in nanometers? 9355523000 Convert 250888.1 micrograms to nanograms. 250888100 How many litres are there in 6774.59 millilitres? 6.77459 Convert 2.309944l to millilitres. 2309.944 What is 729798.6 millilitres in litres? 729.7986 How many seconds are there in 2/27 of a day? 6400 How many grams are there in 4442.959 tonnes? 4442959000 What is 0.984084g in milligrams? 984.084 How many millennia are there in 30.56442 years? 0.03056442 What is 43194.97 nanograms in milligrams? 0.04319497 What is three fifths of a tonne in kilograms? 600 Convert 896241.6cm to millimeters. 8962416 What is 10/9 of a day in seconds? 96000 How many grams are there in twenty-nine halves of a kilogram? 14500 What is 3/25 of a litre in millilitres? 120 What is seventy-four fifths of a millennium in decades? 1480 How many milligrams are there in 11/8 of a gram? 1375 How many centimeters are there in 2.386519nm? 0.0000002386519 Convert 264.0723 nanometers to kilometers. 0.0000000002640723 How many days are there in 9153.03 weeks? 64071.21 What is 5/4 of a millimeter in micrometers? 1250 What is twenty-one halves of a day in hours? 252 What is three tenths of a day in minutes? 432 How many millilitres are there in 37/2 of a litre? 18500 How many litres are there in 0.8350937 millilitres? 0.0008350937 How many litres are there in 16157.9ml? 16.1579 How many microseconds are there in 2.31389 weeks? 1399440672000 What is one fifth of a gram in milligrams? 200 Convert 69626.9 seconds to microseconds. 69626900000 Convert 20289093.3ms to days. 0.23482746875 Convert 9.976051 millilitres to litres. 0.009976051 How many kilometers are there in 3409.484 millimeters? 0.003409484 What is 72178.4cm in meters? 721.784 How many millilitres are there in 45/8 of a litre? 5625 How many grams are there in 1/10 of a kilogram? 100 What is 0.171867 years in centuries? 0.00171867 What is 8/3 of a week in minutes? 26880 How many millilitres are there in seven halves of a litre? 3500 Convert 1000.03ml to litres. 1.00003 Convert 627.3131 kilograms to nanograms. 627313100000000 What is nine tenths of a litre in millilitres? 900 What is one fifteenth of a day in minutes? 96 How many millilitres are there in fourty-three halves of a litre? 21500 How many hours are there in four thirds of a week? 224 What is 819.8095 millilitres in litres? 0.8198095 What is 29321.57l in millilitres? 29321570 Convert 9.712609 millilitres to litres. 0.009712609 How many grams are there in 0.5613983 tonnes? 561398.3 How many months are there in 6/5 of a millennium? 14400 Convert 0.3182272 centimeters to nanometers. 3182272 How many millennia are there in 816533.8 decades? 8165.338 How many centimeters are there in thirty-one halves of a meter? 1550 What is seven halves of a year in months? 42 What is 6105.302 millilitres in litres? 6.105302 What is seventeen halves of a millimeter in micrometers? 8500 What is 8894.474ug in nanograms? 8894474 How many minutes are there in sixty-one halves of a day? 43920 What is 33/5 of a tonne in kilograms? 6600 How many millimeters are there in fifty-nine fifths of a centimeter? 118 What is 58/9 of a hour in seconds? 23200 How many seconds are there in 60.14189 hours? 216510.804 What is five sixths of a day in seconds? 72000 How many millilitres are there in 29.64853l? 29648.53 How many millilitres are there in 53/4 of a litre? 13250 What is 0.9274648 millilitres in litres? 0.0009274648 What is 79.0453 days in seconds? 6829513.92 Convert 546.2745 months to years. 45.522875 What is 16.49323 millennia in centuries? 164.9323 How many millilitres are there in 77/5 of a litre? 15400 How many millilitres are there in 13/5 of a litre? 2600 How many millilitres are there in eighty-one halves of a litre? 40500 What is one quarter of a millennium in decades? 25 How many micrometers are there in 21/4 of a millimeter? 5250 How many micrograms are there in seven quarters of a milligram? 1750 What is 74/5 of a meter in millimeters? 14800 How many milliseconds are there in five quarters of a minute? 75000 How many hours are there in 4338.7767 nanoseconds? 0.00000000120521575 Convert 35.62589ug to milligrams. 0.03562589 How many seconds are there in 9330.114 weeks? 5642852947.2 What is 67/5 of a litre in millilitres? 13400 What is 718663.2 weeks in milliseconds? 434647503360000 Convert 7.046156m to micrometers. 7046156 What is eleven halves of a litre in millilitres? 5500 How many nanometers are there in 7/4 of a micrometer? 1750 How many milligrams are there in 1/20 of a kilogram? 50000 What is 1669.07412 minutes in weeks? 0.16558275 How many millilitres are there in 21/2 of a litre? 10500 What is 7/2 of a millimeter in micrometers? 3500 Convert 665394.4 centuries to months. 798473280 Convert 354.411 micrometers to millimeters. 0.354411 How many millilitres are there in nine tenths of a litre? 900 How many days are there in 526.33584 microseconds? 0.00000000609185 What is one tenth of a litre in millilitres? 100 How many weeks are there in 44806.6
{ "pile_set_name": "DM Mathematics" }
g for n. -3 Suppose -7 = -3*o - 2*w, -16 = -o - 3*o + 4*w. Solve -o*y - 5*t = -y + 31, -t - 2 = -y for y. -3 Suppose 0*l - 5*l + 3*t - 4 = 0, -t + 8 = 5*l. Let a be (l - 4/(-1))/(-1). Let y = a + 7. Solve v - z = -3*z - 4, 5*z + 19 = y*v for v. 2 Let x(p) = 4*p**2 + p + 1. Suppose 0 = -g + 4*g - 270. Let u be g/(-70) - 4/(-14). Let d be x(u). Solve -4*s - s - 10 = -n, 0 = 2*s + d for n. 0 Suppose 2*w = 4*n + 14, n - 4*w + 16 = -3*n. Let r be (0/1)/n - -5. Solve -11 = 4*y + r*z, 5*z + 6 = 3*y + 23 for y. -4 Let v(c) = -c**2 + 3*c - 1. Let o be v(3). Let m(y) = -3*y + 1. Let f be m(o). Solve 0 = -3*q - r - 6, -4 = -2*q + f*q + 4*r for q. -2 Suppose 3*c + 1 - 10 = 0, 2*c = -5*m + 41. Let y = 19 - m. Solve 3*v - t = y, 2*v = -v - 3*t + 12 for v. 4 Suppose 3*g - 4*f = 6, 0 = g + 2*f - 0*f - 2. Let u = 0 + g. Solve -2*s - 12 + 4 = q, -4*q - 12 = -u*s for s. -2 Let d = -50 + 53. Solve -d*f - 6 = 2*n, -4*n - f - 3*f - 8 = 0 for n. 0 Suppose -2*h = -6*h + 16. Suppose 4*u + h*s + s = 32, -3*u = 2*s - 17. Solve -2 = -2*q, -2*q = -u*z - 0*q - 5 for z. -1 Suppose 2 = -4*s + 10. Solve 3*i + s = -2*i - v, 4*v - 15 = 3*i for i. -1 Let h(m) = m**2 - 11*m + 12. Let r be h(10). Solve 4*c - c + r*t = 15, -12 = -c - 3*t for c. 3 Let f(v) = -v**3 + 7*v**2 - 5*v + 1. Let z be (-4)/(-18) + 104/18. Let g be f(z). Let p be 0 + 2 + (g - -1). Solve -3*a + 3*o = o - p, 0 = 4*o + 8 for a. 2 Let y = -22 + 25. Solve 0 = k - 3*v - 8, 0 = -y*k - 4*v + 1 - 3 for k. 2 Let c(n) = n**3 - 12*n**2 + 11*n + 4. Let s be (3 + -2)/((-5)/(-55)). Let o be c(s). Solve o*b = -20, m = 4*m + 5*b + 34 for m. -3 Let n(o) = -4*o - 1. Let s be n(-1). Let x(h) = -h**3 + 3*h**2 + h + 1. Let m be x(s). Solve -2*d + 2*u = 10, m*d - u + 8 = -0*d for d. -1 Let s = -55 + 57. Solve -w + b - 11 = -2, -s*w + 3*b = 23 for w. -4 Suppose -7*l + 2*l = 0. Suppose 0*d - 17 = -f + 4*d, l = -5*d - 5. Suppose z - 2 = -3*s + f, 3 = z. Solve 3*k + 26 = -4*h, -3*h = -s*h + 3*k + 1 for h. -5 Let i(c) = -4*c. Let q be i(-1). Let b be 5 + -1 + (4 - q). Solve x + 3*t + 5 = 0, -b*x - 4*t - 2 = -t for x. 1 Let t be ((5 - 3) + -3)*(-3 + -8). Solve -10 = 2*i, -3*v - i - t = -0*i for v. -2 Let a = -72 + 51. Let y be ((-14)/6 - -2)*a. Suppose -2*z + 1 + 5 = 0. Solve 19 - y = -z*t, 2*w + 4 = t for w. -4 Let b = 2 + -1. Suppose -v + 1 = -g, 5*g - 3*v - b = 4. Suppose a + 0 - g = 0. Solve -2*z + a = -3*l - 0, 3*z - 1 = 2*l for z. -1 Let u = 6 - 4. Solve 3*f + 15 = 4*z, 0 = -z - u*f + 5*f + 6 for z. 3 Let l = 5 - 9. Let s be (0 - 0)/(l - -5). Solve -2*v + 1 = -5*y + 4*y, s = -2*y + v - 5 for y. -3 Let j be (-171)/38*2/(-3). Solve -5*n = -5*m + 15, j*n + 5*m + 25 = -0*n for n. -5 Let r(h) = -h**2 - 3*h + 3. Let j be r(0). Solve 0*t - j = -t + g, 2*t - 12 = 4*g for t. 0 Let h be 1 - ((6 + 0)/3 - 1). Solve h = -5*n - 3*l + 19, -3*l = -n + 1 + 10 for n. 5 Let h = 32 + -27. Solve 0 = -4*f - 4*y, -h*y + 4 + 1 = 0 for f. -1 Let n be -3 - 1 - (12 - -2). Let k = n + 34. Let i = 1 - -1. Solve -i*c - 26 = -4*u, -2*u - k = -6*u for c. -5 Let t = 4 - -1. Suppose l = -3*l. Suppose l = -b - 2*b + 6. Solve 2*o + o + t*y = 15, -2*o + b*y = -10 for o. 5 Let v(h) = -h**3 + 11*h**2 + 12*h + 9. Let b be v(12). Solve -2 = 3*m - 2*z + b, -m + 3*z - 6 = 0 for m. -3 Suppose 5*b = -z + 16, 4 = 2*z + 5*b - 13. Suppose z - 3 = -s. Suppose 27 = 4*c + 7. Solve -o + y = 2, 3*o - c*y + 10 - s = 0 for o. -1 Let r(p) = 6*p**2 - 2*p - 1. Let s be r(-1). Suppose -2*f = 3*v - s, 0 = 5*f - f + 3*v - 11. Let y = -2 - -7. Solve -g - g = f, g = 3*x + y for x. -2 Suppose -2*m - 11 = -3*m + 4*x, -3*m = -5*x - 26. Let l = 14 - m. Solve -2*d - l = z, 5*z + 5*d + 15 = -5 for z. -1 Let s(l) = -l**3 - 4*l**2 + 3*l - 6. Let x be s(-5). Solve -16 + 7 = -5*m - 2*c, 0 = -3*m + x*c + 21 for m. 3 Let g be (-23)/(-7) - 10/35. Solve g*z = -5*p + 3, -p - p = -6 for z. -4 Let x = 1 - -4. Solve 4*z = x*q - 26, 2*z + 14 = z + 5*q for z. -4 Suppose v - s = 6, -5*v + 4*s - 6*s = -16. Solve v*g - 20 = -3*z, g + 5*z - 9 - 13 = 0 for g. 2 Let l(o) = -o**3 - 4*o**2 + 4*o - 5. Let d be l(-5). Solve -2*t + 4*f + 31 - 13 = 0, d = f + 3 for t. 3 Suppose n - 20 - 28 = 0. Suppose -2*l - 53 = -3*r - 14, -3*r = -5*l - n. Solve 0 = -0*o + 3*o + 5*p - r, -4*o + 10 = 2*p for o. 2 Let d be (-18)/(-3) - (-6)/(-2). Suppose -y + 4 = d*y. Let b = y + 2. Solve -2*g - b = -g + 5*h, -5*g - 4*h + 6 = 0 for g. 2 Suppose -3*t = -2*n - 8, 0 = 5*t - 5*n - 3 - 12. Solve 2*q - g + 17 = 6*q, 5*q = -t*g + 22 for q. 4 Let c be 21/(-2)*-2 + -2. Solve -2*w + 0 = -5*m + c, 2*m = 2*w + 10 for w. -2 Suppose -4*i + i + 21 = 0. Let a = i - 7. Solve a = 3*t + 3*y + 21, -5*t = -5*y - 9 - 6 for t. -2 Suppose j - 6*r - 5 = -r, 2*r = -2*j + 22. Solve -6*l - 3*m - 9 = -3*l, 0 = -2*l + 2*m + j for l. 1 Let i be (-4)/(-2) - 1*5/(-5). Solve 0*h - 3*r = 3*h, i*h = r + 4 for h. 1 Suppose 5*i = o - 0*i - 20, 0 = 2*o + 4*i + 2. Suppose 4*k - 14 = -f, 3*f + o = 3*k + 2. Solve -j = -5*w - 2 - 5, 2*w + f*j = -10 for w. -2 Let o(m) = -m + 3. Suppose 0*z = 2*z - 2*r + 2, 0 = r - 2. Let a be (z + -1)*(-6)/(-18). Let d be o(a). Solve f + i - 3 = -2*i, -d*f + i = 1 for f. 0 Let x be (1 - -3) + 1 + -3. Solve 0*c + x = c - 4*h, -2*c - h + 4 = 0 for c. 2 Suppose 0 = -4*m + 9 + 11. Let x(i) = -i**2 + 13*i - 10. Let h be x(12). Solve -h*o = o - 2*t, -m*o + 7 = -t for o. 2 Suppose 5*h + 8 = -4*t, 4 = 5*t + 5*h + 9. Solve t*k + j = -4, 0 = -3*k + 5*j + 3 - 1 for k. -1 Suppose -3*h = -0*h + 6. Let j = 2 + h. Let t(s) = -2*s - 3. Let a be t(-3). Solve 5*q - 4*w - 20 = j, -11 = -2*q - 3*w - a for q. 4 Suppose 4*v - 15 = -v. Let r = 0 + 9. Let m = r + -7. Solve -5 = -2*x + 2*f + v, -m*f + 12 = 2*x for x. 5 Suppose -3*h + 0*h + 3 = 0. Let w = 4 - h. Solve -3*v = 4*b - 2*v + 8, w*b - 11 = -5*v for b. -3 Let g be -10*(-2)/4 + -1. Suppose 4*z - 22 = n, 4*z + g*n = -0*z + 32. Solve 1 = -3*c + 4*k + k, -z = -3*k for c. 3 Let l be 21/((-4)/(-4)) - -3. Solve 2*o = 4*d - l, 4*d + 4*o - 2*o - 8 = 0 for d. 4 Let y be 0/((-5)/1) - -20. Let i = 3 - 14. Let b = y + i. Solve -4*g - 2*j - b = -3*j, 2*j = 5*g + 9 for g. -3 Let n(d) = d**2 + 3*d + 2. Let b be n(-6). Solve k + 0*o = 2*o - 12, -4*o = -b for k. -2 Let z(g) = 4*g + 3 - 5*g - g**2 + 7*g + 3*g. Let c be z(9). Solve t + 3*d + 3 = c*t, 0 = -2*t - 5*d - 5 for t. 0 Let o(f) = -f**3 + f**2 - 1. Let m be o(-1). Solve m = -5*y + 3*a - 1, 3*y + 10 = 4*a for y. 2 Let w be -1 - (0 + -2) - 0. Suppose -3*r - w + 7 = 0. Solve 0*v = r*v + 4*o + 16, 4*v + 8 = 4*o for v. -4 Let c be ((-9)/(-15))/((-1)/(-5)). Suppose 3*y - n = 5*y, -4*n = -2*y + 10. Solve 5*d = 20, -4*t + c*d - y = -5 for t. 4 Let d be -5*3/(-3 - 0). Suppose -4 = 2*u - 12. Suppose 5*r - 7 = -2. Solve d*b + 4*o = 0, -3*b = u*o - r + 9 for b. 4 Let w = 19 + -9. Let i(v) = 3*v - 12. Let t be i(w). Suppose -2*a = 3*z - 1, -2*z = -3*a - z + t. Solve -b + a = p + p, 2*b + 14 = 4*p for b. -1 Suppose -l = -2*t + 5*t + 7, -2*l - 4*t = 6. Suppose f = 4*g - 0*g - 16, 3*g + f - 19 = 0. Solve -m - 8 = y, l*m - y - g = 3*y for m. -3 Let d = -13 - -23. Solve d = k - 2*k - c, -5 = c for k. -5 Let x be 18/12 - (-1)/(-2). Suppose 0 + 4 = u. Solve -j = 5*y + x, -5*y = j - u*j - 3 for y. 0 Suppose -12 = -5*j + 3. Let o(b) = -3*b - 1. Let d be o(-2). Suppose 5*r - 40 = d*y, -2*r = y + 3*y + 8. Solve -1 = j*u + 2*g + r, 5*u + 2 = 3*g for u. -1 Let p(w) = w**2 - 4*w - 7. Let d be p(6). Suppose 0 = -5*h + d. Solve 5*l + 23 - h = 4*a, l - 4*a + 14 = 0 for l. -2 Suppose -2*f = 5*y - 0*f + 3, -4*y - 8 = 3*f. Let c = 0 + y. Let t be 4 - (-1)/1*c. Solve -t*d - k + 2 = 0, 4*k - 6 - 2 = -4*d for d. 0 Let m(d) = -d**3 + 13*d**2 + 14*d + 4. Let n be m(14). Solve -5*y + 2*r - 1 = 6*r, -n*y = r + 3 for y. -1 Suppose -u - 31 = 4*y - 6*u, -4*y - 34 = -2*u. Let a(i) = -i**3 - 10*i**2 - 10*i - 5. Let x be a(y). Solve -x*p + 13 = -4*l + 1, 2 = -l for p. 1 Let y(u) = -u**3 - u**2 + u + 9. Let v be y(0). Solve -4 + 27 = -4*p - w, 0 = -3*w - v for p. -5 Suppose -d = 4*d - 20. Suppose -12 + d = -2*j. Solve -2*a = -4*h - 32 + 6, j*h + 3*a + 11 = 0 for h. -5 Let j be (-1 + 2)*(0 + 2). Let l = 353 + -343. Solve j*t = 2*m - l, -4*t - 11 = -0*t - m for t. -2 Let l = 92 + -52. Solve 3*i + i + 5*q = -5, l = -5*i + 5*q for i. -5 Suppose -2*f - 4 + 0 = -2*x, 8 = f + x. Solve f*j - q + 11 = -j, -j - 4*q = 24 for j. -4
{ "pile_set_name": "DM Mathematics" }
Simplify ((sqrt(72) + -5*-1*sqrt(72))/sqrt(9))/(sqrt(4) - (sqrt(4) + (sqrt(8)/sqrt(2)*-2 - sqrt(4))) - sqrt(400)*2). -6*sqrt(2)/17 Simplify 3*(sqrt(19) + -3) - (sqrt(133)/sqrt(175))**2 - 2*(sqrt(95)/(sqrt(5) - (sqrt(5) + 1*sqrt(5))) - (sqrt(2736) + 1)). -194/25 + 29*sqrt(19) Simplify (-2*sqrt(1053) - 4*sqrt(52) - (3 + sqrt(104)/(sqrt(512) - sqrt(8))))**2. 1098*sqrt(13)/7 + 435798/49 Simplify ((1 + sqrt(7) + 3 - (sqrt(7)*-2 + sqrt(7))*4) + 3)**2. 70*sqrt(7) + 224 Simplify (-6*-1*(6*1*sqrt(500) + -4))**2. -17280*sqrt(5) + 648576 Simplify -5 + sqrt(500)*6 + (2 + sqrt(500))**2 + 5 + sqrt(20)/sqrt(4). 101*sqrt(5) + 504 Simplify (sqrt(7260)*4*-2)/((sqrt(768) - (sqrt(768) + -5*(sqrt(768) - sqrt(768)*4) + sqrt(768))) + sqrt(768) - sqrt(768)). 11*sqrt(5)/16 Simplify ((sqrt(285)/(sqrt(10)/sqrt(2)))/sqrt(3) - (-2 + sqrt(1216)*2))**2. -60*sqrt(19) + 4279 Simplify -1*(((-1 + sqrt(612))*-4 + 2)**2*-4 + -5). -1152*sqrt(17) + 39317 Simplify (2*(sqrt(187) + sqrt(187)*-2 + sqrt(187)) + sqrt(187))/((sqrt(77) - (sqrt(77) - sqrt(77)*1))/sqrt(7)). sqrt(17) Simplify (-1 + (sqrt(11) + 5*(sqrt(11) + 0))*2*6)**2. -144*sqrt(11) + 57025 Simplify -1 + ((-1 + -4*sqrt(192) - sqrt(192)) + (-1 + sqrt(192))*-6)**2. -880*sqrt(3) + 23256 Simplify ((sqrt(110) - (sqrt(110) - (sqrt(110) + -2*sqrt(110)))*-1)*-3)/(sqrt(250)*1*-3). 3*sqrt(11)/5 Simplify (sqrt(80) + -5 + sqrt(5))*2 + -1 + -2 + sqrt(605) + sqrt(605) + -5. -18 + 32*sqrt(5) Simplify (-2*(2*sqrt(1331)*-2 + 4)*1)**2. -1408*sqrt(11) + 85248 Simplify -3 + (5*3*(6*sqrt(147)*1 - sqrt(147)))**2. 826872 Simplify ((sqrt(231)/(sqrt(7) + sqrt(7)*2))/sqrt(11) - -4*(sqrt(3) + (1*sqrt(75))**2)) + 3. 13*sqrt(3)/3 + 303 Simplify 3*(sqrt(77)/(-2*sqrt(11)*3) + sqrt(700) + ((sqrt(700) + 1)**2 + -5 - sqrt(700))). 119*sqrt(7)/2 + 2088 Simplify (-2*1*sqrt(605)*5*-4)**2*-3. -2904000 Simplify -6*(((sqrt(1728) - sqrt(1728)*2) + sqrt(1728))/sqrt(9) + sqrt(9)/(sqrt(3) + 1*sqrt(300)))**2*6. -108/121 Simplify -5 + sqrt(102)/(sqrt(30)/sqrt(5)) - (sqrt(612)*2 + sqrt(612))**2*-1. sqrt(17) + 5503 Simplify (sqrt(128)/((sqrt(192)/sqrt(4))/sqrt(6)))/(sqrt(512) + (1*sqrt(512) - sqrt(512)) - (-1*sqrt(648) + sqrt(648))). sqrt(2)/8 Simplify (-2 + ((sqrt(204) + sqrt(204)*-2)/sqrt(12) - 6*sqrt(51)/sqrt(3) - (2*sqrt(1088) - (sqrt(17) - (2*sqrt(68)/sqrt(4) + sqrt(17))))))**2. 100*sqrt(17) + 10629 Simplify sqrt(405) + sqrt(405) + sqrt(405) + 1 + -1 + sqrt(405) + sqrt(405) + (sqrt(405) + sqrt(405)*-5*2 + sqrt(405))**2. 45*sqrt(5) + 25920 Simplify (sqrt(28)/((sqrt(18)*-2)/sqrt(9)))/(sqrt(77)/(sqrt(33)/sqrt(3))*6). -sqrt(2)/12 Simplify (2 + (sqrt(363) - (4 + sqrt(363) + 1))*-2)*2. 24 Simplify (-2*sqrt(190)*1 - (sqrt(190)*2*1 - sqrt(190)))/((sqrt(250) - -2*sqrt(250))*-4). sqrt(19)/20 Simplify ((sqrt(1216) + (1 + sqrt(1216) - sqrt(1216))**2 + 0 - (3 + -1 + sqrt(1216))) + 0)*6. -6 Simplify (-1*sqrt(1008) + sqrt(1008) + sqrt(28))/((sqrt(1764) + sqrt(36))/sqrt(9)). sqrt(7)/8 Simplify 1 + (sqrt(833) + 1)**2 + sqrt(68)/sqrt(144). 85*sqrt(17)/6 + 835 Simplify (sqrt(1080)/sqrt(10) + 5 + (-5*sqrt(3))**2)*1. 6*sqrt(3) + 80 Simplify sqrt(55)/(sqrt(22)/sqrt(2)*-3) - (-4 + (sqrt(320) - (sqrt(320) + sqrt(320) + (sqrt(320) + -1 + sqrt(320) - sqrt(320))))**2 + sqrt(320)). -1277 + 71*sqrt(5)/3 Simplify (sqrt(171) + -2*(sqrt(171) + -2) + 1 + -2*sqrt(171) + sqrt(171))**2. -60*sqrt(19) + 709 Simplify (4*-1*sqrt(72) - (-1 + sqrt(72) + -2 + sqrt(72)))**2 + -2. -216*sqrt(2) + 2599 Simplify ((sqrt(420)*-1*-2)/sqrt(12))/((sqrt(7)*1 - sqrt(7))*3 + sqrt(49)/(sqrt(7) + sqrt(14)/sqrt(2))). 4*sqrt(5) Simplify (sqrt(18) - (sqrt(72)*-1)/sqrt(4))/sqrt(6)*-6 + 1. -12*sqrt(3) + 1 Simplify ((2 + sqrt(2448) - sqrt(2448)) + 5)**2 + -3 - ((sqrt(2448) - ((sqrt(2448) + 1 + sqrt(2448))**2 + 3 + sqrt(2448))) + -3). 48*sqrt(17) + 9845 Simplify (0 + ((sqrt(425)*2 - sqrt(425))**2 - sqrt(425)) + -5)*3. -15*sqrt(17) + 1260 Simplify (6*(1 + -5 + (sqrt(931) + -3*(sqrt(931) - 2*sqrt(931)) - (-1 + sqrt(931)*2))))**2. -3024*sqrt(19) + 134388 Simplify (((sqrt(720)*-2 - sqrt(720))*5 - sqrt(720))**2 + (sqrt(720) - (-2*sqrt(720) + 2)**2))*-2 + 4. -362868 - 216*sqrt(5) Simplify -3*(2 + ((0 + sqrt(245) + sqrt(245) + 0)**2 + sqrt(245) - (4 + -2*sqrt(245) - sqrt(245))) + 3). -2943 - 84*sqrt(5) Simplify 1*-2*6*((sqrt(11) - sqrt(11)*2*-6) + sqrt(11))*2. -336*sqrt(11) Simplify 1*((sqrt(1300)*-4)**2 - 1*(1 + sqrt(13))). -sqrt(13) + 20799 Simplify (sqrt(4)/(sqrt(72) - sqrt(2)) - sqrt(16)/(sqrt(32)/sqrt(4))) + (3*sqrt(2)*2*3)**2 + 0. -4*sqrt(2)/5 + 648 Simplify sqrt(228)/(4*sqrt(1200)) + (sqrt(1216) - sqrt(19))*-4*-5. 5601*sqrt(19)/40 Simplify 1 + -6*(sqrt(1300) + -1*(-1 + sqrt(1300))) + 2. -3 Simplify (sqrt(140) + sqrt(140) + (sqrt(140) - 5*1*sqrt(140)) + sqrt(140))/sqrt(1575). -2*sqrt(5)/15 Simplify -5*((sqrt(931) + -2)**2 + 5)*-3*-4. -56400 + 1680*sqrt(19) Simplify -5*(-3*-2*(sqrt(243) - (sqrt(243) - (sqrt(243) + sqrt(243)*3))))**2 + -1. -699841 Simplify (-3*(sqrt(84)*2 + sqrt(84)) - sqrt(84))/(sqrt(12) + (sqrt(1452) - -1*sqrt(1452))) + sqrt(343) + -1 + -1 + sqrt(343) + -2*-1*sqrt(343). -2 + 634*sqrt(7)/23 Simplify ((sqrt(357) + 1*sqrt(357) - sqrt(357))/sqrt(7))/(2*sqrt(147) - sqrt(3)). sqrt(17)/13 Simplify (sqrt(33)*1*-4*-2)/(2*sqrt(275) - (sqrt(11) - (((sqrt(11) - (sqrt(11) - sqrt(33)/sqrt(3))) + sqrt(11) + sqrt(11) + sqrt(11))*4 - sqrt(11)))). sqrt(3)/3 Simplify 5*5*-2*(1*sqrt(70))/sqrt(10). -50*sqrt(7) Simplify ((sqrt(72) - (sqrt(72) - 2*sqrt(72))) + 1)**2 - (((sqrt(72)*-1 + sqrt(72) - sqrt(72))*5 - sqrt(72))**2 + sqrt(72)). -2303 + 18*sqrt(2) Simplify ((sqrt(150) + (sqrt(150) - -1*sqrt(150))*-4)/sqrt(10))/((-6*sqrt(216)/sqrt(6) - sqrt(36))/sqrt(12)). sqrt(5) Simplify ((sqrt(4598) + -2*sqrt(4598))*6)/(-1*sqrt(8)*-1 + sqrt(8)). -33*sqrt(19)/2 Simplify 4*(4 + (sqrt(468) - (-5*(sqrt(468) - -3*sqrt(468)) - sqrt(468))**2)). -825536 + 24*sqrt(13) Simplify (1*(sqrt(228) - (2*sqrt(228)*-6 + sqrt(228))))/((sqrt(120)*1)/sqrt(10)*6). 2*sqrt(19) Simplify (sqrt(156)/(sqrt(3)*-3))/((sqrt(4) - ((sqrt(324) - ((sqrt(324) - sqrt(324)*-1) + sqrt(324) - sqrt(324))) + sqrt(324))) + sqrt(4)). -sqrt(13)/6 Simplify (sqrt(88)*1*5)/(sqrt(32)/(sqrt(4)*4)). 20*sqrt(11) Simplify ((sqrt(91) - (sqrt(91) + sqrt(91)*-2)*6) + sqrt(91))/((sqrt(343)/sqrt(7))/sqrt(7)). 8*sqrt(13) Simplify (0 + (sqrt(20)/((sqrt(160) - sqrt(10)) + sqrt(10)) - sqrt(2)) + 3)*3. -9*sqrt(2)/4 + 9 Simplify (1 + sqrt(243) + 2 + 3)**2 + 4. 108*sqrt(3) + 283 Simplify (sqrt(77) - -2*sqrt(77)*3 - 2*sqrt(77)*-4)/(6*sqrt(175)*3). sqrt(11)/6 Simplify (-3 + (sqrt(19)*-5 + sqrt(19) - sqrt(19)))**2*1 - (-2 + sqrt(19) + 1 + 4 + -1 + sqrt(19) + sqrt(19)). 27*sqrt(19) + 482 Simplify (3*-4*((1*sqrt(1088)*-1 + sqrt(1088) - sqrt(1088) - sqrt(1088)) + 1))**2. -4608*sqrt(17) + 626832 Simplify (5 + 1 + (sqrt(704) - ((sqrt(704) + sqrt(704) + (sqrt(704)*-4 - sqrt(704)) - sqrt(704)) + sqrt(704) + 0)))**2. 384*sqrt(11) + 11300 Simplify (-3 + (1 + sqrt(180))*6*-4)**2. 7776*sqrt(5) + 104409 Simplify (3*sqrt(768) - (sqrt(12)*-5 + -1 + sqrt(12)/sqrt(4)))**2. 114*sqrt(3) + 9748 Simplify -5 + -1*(-6*2*sqrt(1008))**2. -145157 Simplify 1*(sqrt(114)/(sqrt(6) + sqrt(6)*2) - (sqrt(57)/(sqrt(147) + sqrt(3) - sqrt(3)) - sqrt(19))) + -2. -2 + 25*sqrt(19)/21 Simplify ((sqrt(12)*1)/sqrt(6) + -4 + -2*(2*sqrt(4))/sqrt(2))**2. 24*sqrt(2) + 34 Simplify (sqrt(162) - -2*sqrt(162)*-5 - -4*(sqrt(162) + 0) - 4*(sqrt(162) + -2)*4)**2. -12096*sqrt(2) + 72466 Simplify (5*sqrt(38)/sqrt(2))**2 - ((sqrt(19) + 1)**2 + 3) - (0 + (sqrt(19) - (-2 + sqrt(304))))**2. 10*sqrt(19) + 277 Simplify (sqrt(280)/sqrt(72) - sqrt(315)/sqrt(81))/(sqrt(245)*2*3). 0 Simplify 3*(4 + 5*(sqrt(1900) - (sqrt(1900) - (0 + sqrt(1900))))**2 + 1). 28515 Simplify 0 + 0 + 3*(sqrt(11) - sqrt(275)) + (sqrt(11) - sqrt(11)*-1) + 0 + 5. -10*sqrt(11) + 5 Simplify -2*(5*-3*sqrt(77) + sqrt(77))/(sqrt(126)/sqrt(2)). 28*sqrt(11)/3 Simplify (sqrt(20)/(sqrt(360) - sqrt(360)*-2) + (sqrt(18) + sqrt(18) + sqrt(54)/sqrt(3)*4)**2)*-3. -1944 - sqrt(2)/6 Simplify 0 + -4 + 5*((sqrt(65) - (sqrt(65) + (sqrt(65) - 3*sqrt(65)))) + sqrt(65))/sqrt(5). -4 + 15*sqrt(13) Simplify (sqrt(20) + sqrt(40)/sqrt(2)*-3)/sqrt(4)*-2*3. 12*sqrt(5) Simplify (3*(sqrt(2548)*-2 - sqrt(2548)) + sqrt(2548))/(sqrt(24)/((sqrt(6) - -2*sqrt(6))*-3)). 504*sqrt(13) Simplify 5*sqrt(275)*4 + 5 + 3 + sqrt(275). 8 + 105*s
{ "pile_set_name": "DM Mathematics" }
7) to base 15. -918 Convert a698 (base 14) to base 7. 146551 Convert 3426 (base 8) to base 2. 11100010110 -6021 (base 13) to base 9 -20106 What is -2bb01 (base 12) in base 9? -104121 What is 1122021 (base 3) in base 15? 54a What is -916d (base 15) in base 7? -155341 a58 (base 11) to base 10 1273 5442 (base 10) to base 14 1daa -10020 (base 4) to base 6 -1120 -1027 (base 12) to base 8 -3337 What is -1406 (base 15) in base 2? -1000010111001 Convert -1cd3 (base 15) to base 14. -2401 Convert -3333313 (base 5) to base 11. -40018 Convert -10992 (base 10) to base 11. -8293 What is -683 (base 9) in base 14? -2c1 -12026 (base 7) to base 10 -3107 263 (base 7) to base 8 217 What is 7069 (base 11) in base 14? 35cc 1b1 (base 15) to base 9 474 Convert 5b8b (base 14) to base 12. 9313 What is 2202 (base 10) in base 3? 10000120 Convert -1b31 (base 14) to base 10. -4943 Convert -1bb69 (base 12) to base 15. -c409 202323 (base 4) to base 15 9e0 1a1a4 (base 11) to base 7 145114 -2c1 (base 14) to base 2 -1000110001 Convert -60466 (base 8) to base 7. -132361 What is -1111111100 (base 2) in base 13? -606 What is -3368 (base 9) in base 3? -10102022 Convert -1001000010111010 (base 2) to base 14. -d706 1011001111010 (base 2) to base 12 33b6 Convert -24632 (base 9) to base 11. -11489 -47264 (base 10) to base 15 -e00e Convert 232 (base 9) to base 14. d9 346 (base 8) to base 9 275 10338 (base 13) to base 4 13012323 -906 (base 13) to base 2 -10111110111 What is 273 (base 15) in base 12? 3a6 What is -558 (base 12) in base 9? -1065 -948 (base 10) to base 5 -12243 Convert 256 (base 9) to base 10. 213 Convert 38fe (base 16) to base 13. 6844 1451 (base 9) to base 6 5031 Convert 49a (base 11) to base 8. 1121 What is -311033 (base 4) in base 6? -23435 -2630 (base 12) to base 15 -1456 Convert -10161 (base 8) to base 3. -12202220 3143 (base 5) to base 15 1d3 What is -204440 (base 6) in base 15? -4da9 Convert 5235 (base 8) to base 5. 41332 What is 1001110000010 (base 2) in base 12? 2a82 -5425 (base 9) to base 11 -2aaa 11410 (base 8) to base 16 1308 37 (base 10) to base 2 100101 -114 (base 15) to base 8 -364 Convert 2121010 (base 3) to base 2. 11101100101 Convert -7751 (base 11) to base 5. -311340 Convert 1121 (base 16) to base 10. 4385 What is -533 (base 8) in base 6? -1335 What is 12733 (base 9) in base 13? 3bca 634 (base 7) to base 4 10333 What is 2100 (base 4) in base 9? 170 3216 (base 10) to base 16 c90 What is -139 (base 12) in base 15? -c9 Convert -404 (base 14) to base 13. -488 What is -dc (base 15) in base 4? -3033 Convert -683 (base 10) to base 12. -48b Convert -203222 (base 4) to base 6. -14322 Convert -21434 (base 7) to base 2. -1010011110110 -101100001 (base 2) to base 16 -161 Convert -21132 (base 4) to base 3. -211110 -775 (base 11) to base 2 -1110100001 141230 (base 5) to base 14 2195 What is -3220 (base 4) in base 3? -22121 Convert 14123 (base 6) to base 5. 32321 Convert -4270 (base 8) to base 15. -9dc Convert 2191 (base 12) to base 16. e7d Convert 1301421 (base 5) to base 6. 312500 -660 (base 15) to base 7 -4125 Convert -10316 (base 8) to base 14. -17d4 Convert 13036 (base 12) to base 11. 18562 Convert 12161 (base 13) to base 8. 100663 What is -576 (base 8) in base 4? -11332 36604 (base 7) to base 16 2557 What is 10022012 (base 3) in base 14? c40 What is -11214 (base 7) in base 4? -230211 7a0 (base 15) to base 3 2100220 95 (base 16) to base 10 149 110010001 (base 2) to base 5 3101 What is 2013 (base 6) in base 4? 12321 Convert 2868 (base 15) to base 3. 102212022 -23442 (base 7) to base 14 -22c9 2349 (base 11) to base 4 300012 What is -12403 (base 7) in base 14? -12aa Convert c598 (base 13) to base 7. 142456 Convert -12221 (base 5) to base 6. -4200 138 (base 16) to base 9 376 -a408 (base 11) to base 8 -32752 1300112 (base 4) to base 6 53142 What is -101011001111 (base 2) in base 5? -42032 Convert 16601 (base 8) to base 16. 1d81 What is 992 (base 15) in base 16? 872 What is 230 (base 16) in base 13? 341 What is -255001 (base 6) in base 11? -16402 Convert 30201 (base 4) to base 10. 801 Convert -75 (base 9) to base 14. -4c Convert 712 (base 8) to base 4. 13022 What is -12130210 (base 4) in base 5? -1321104 What is 10321 (base 4) in base 13? 1b1 What is 111001101 (base 2) in base 10? 461 6d (base 14) to base 16 61 What is 8dc (base 16) in base 13? 1056 Convert -2828 (base 12) to base 6. -33252 141202 (base 6) to base 7 53426 Convert 2345 (base 7) to base 6. 4002 What is -c4c (base 16) in base 11? -2402 What is 21547 (base 8) in base 12? 52b3 Convert -2176 (base 9) to base 15. -723 4565 (base 15) to base 8 34600 -14142 (base 8) to base 7 -24125 -1011 (base 10) to base 7 -2643 -c5e1 (base 15) to base 10 -41836 Convert -1100011001011100 (base 2) to base 7. -301022 Convert -9045 (base 10) to base 15. -2a30 33002112 (base 4) to base 16 f096 -10212 (base 4) to base 15 -149 What is 2121011 (base 4) in base 2? 10011001000101 What is -224 (base 15) in base 5? -3414 -987 (base 10) to base 7 -2610 11206 (base 7) to base 13 13b1 -110c (base 13) to base 9 -3232 10010000010110 (base 2) to base 13 4288 What is -2277 (base 9) in base 14? -88a What is 4628 (base 13) in base 16? 266c Convert -1212 (base 6) to base 3. -101222 Convert -17 (base 9) to base 14. -12 -51543 (base 7) to base 8 -30520 -267 (base 10) to base 4 -10023 -74a (base 12) to base 14 -562 Convert -1221222122 (base 3) to base 15. -b6a2 Convert 274 (base 9) to base 5. 1404 Convert 10001100 (base 3) to base 9. 3040 What is -4252 (base 11) in base 2? -1010111110111 What is 493c (base 14) in base 4? 3013322 14270 (base 9) to base 16 25e6 -43236 (base 7) to base 16 -2a06 Convert -14a60 (base 11) to base 2. -101001011111001 2808 (base 9) to base 13 c68 What is 10263 (base 9) in base 2? 1101001111100 Convert 312331 (base 5) to base 13. 4926 -5668 (base 10) to base 11 -4293 Convert 1214411 (base 5) to base 6. 254550 -20110103 (base 4) to base 3 -1201201202 -3404 (base 9) to base 13 -11b6 What is 24e0 (base 16) in base 14? 3624 What is -48830 (base 10) in base 14? -13b1c Convert -817 (base 9) to base 4. -22120 1021 (base 7) to base 6 1354 Convert -3634 (base 7) to base 15. -5ed -189a (base 11) to base 8 -4550 Convert -485 (base 14) to base 5. -12101 Convert 6 (base 13) to base 14. 6 What is 1572 (base 10) in base 14? 804 What is 92 (base 14) in base 6? 332 -635 (base 13) to base 10 -1058 What is c67 (base 14) in base 16? 98b -2b7d (base 14) to base 10 -7755 -3185 (base 10) to base 15 -e25 What is 293 (base 13) in base 5? 3313 1021 (base 10) to base 3 1101211 1001111011 (base 2) to base 9 775 Convert 2636 (base 14) to base 15. 1ec7 What is 160 (base 9) in base 6? 343 What is 406 (base 13) in base 7? 1663 What is 590 (base 11) in base 4? 23000 -539 (base 14) to base 5 -13111 -2010320 (base 4) to base 12 -4b08 313 (base 11) to base 15 1a2 Convert -264d (base 16) to base 9. -14404 Convert 5425 (base 7) to base 5. 30210 11112 (base 3) to base 2 1111010 Convert 391 (base 13) to base 16. 271 What is 3223332 (base 4) in base 11? 1038a -5736 (base 9) to base 11 -320a -397 (base 10) to base 7 -1105 -758 (base 12) to base 14 -56c Convert -7492 (base 15) to base 8. -60126 52301 (base 6) to base 2 1101101101101 What is -11110000001 (base 2) in base 10? -1921 What is -100011110101000 (base 2) in base 7? -104324 -211202 (base 8) to base 12 -34802 What is 2b0 (base 14) in base 16? 222 What is 21054 (base 13) in base 8? 163774 3224 (base 5) to base 9 537 What is -3838 (base 9) in base 13? -13ca 17776 (base 9) to base 4 3000030 What is -1010110010000110 (base 2) in base 6? -540250 What is 21103 (base 4) in base 13? 36a Convert -10111010000 (base 2) to base 14. -784 1705 (base 9) to base 15 5bb What is 30c2 (base 13) in base 10? 6749 8b58 (base 13) to base 14 7176 What is 109a (base 12) in base 13? ac0 -93ca (base 16) to base 13 -142b4 What is -3b2 (base 12) in base 11? -475 Convert -322233 (base 4) to base 14. -1527 -723 (base 15) to base 4 -121020 Convert 11551 (base 7) to base 11. 2300 What is 1817 (base 11) in base 7? 6520 Convert -403b (base 12) to base 2. -1101100101111 21112122 (base 3) to base 2 1010101111010 -91 (base 16) to base 4 -2101 What is -3303 (base 4) in base 10? -243 Convert -8195 (base 16) to base 2. -1000000110010101 967 (base
{ "pile_set_name": "DM Mathematics" }
5*t - 36 = 0. Let s be v(t). Sort 4, 2, s in ascending order. s, 2, 4 Let s be -6*(-4)/(5 - -3). Suppose -l = 22 - 26. Sort s, l, -0.1. -0.1, s, l Suppose -5*h - 13 = -4*k - 0*k, 3*h = -4*k + 5. Put -1, k, 4, -15 in descending order. 4, k, -1, -15 Let g = -54 + 10. Let n = g + 47. Put -0.2, -2, n, 1 in decreasing order. n, 1, -0.2, -2 Let w = 9 + -18. Let u = w + 14. Let b(x) = -x**3 + 6*x**2 + 8*x - 3. Let p be b(7). Sort u, 0, p in descending order. u, p, 0 Let d = -1079.1 - -1079. Suppose 0 = -2*o - 5*x + 23, -5*x = o - 6 - 18. Let r = 31/24 + -21/8. Put o, r, d in descending order. d, o, r Let n = -61 + 61. Put -2, -4, n, 3 in ascending order. -4, -2, n, 3 Suppose -4*h = 14*h. Put -5, h, -1, 28 in decreasing order. 28, h, -1, -5 Let o = -824 - -826. Put o, 4, -1, 1 in decreasing order. 4, o, 1, -1 Let y = -24865/74 - -336. Sort -4, y, -1. -4, -1, y Suppose -w = 5*h + 17, 0*w + 5*w + h = 11. Put -3, 43, w, 0 in descending order. 43, w, 0, -3 Let p = -91 - -57. Let c = 39 + p. Sort 1, c, 0, -4 in descending order. c, 1, 0, -4 Suppose 224 = 6*v + 128. Put 4, -2, v, 0 in increasing order. -2, 0, 4, v Let n = 666.96 - 667. Put 3/5, 9, n in increasing order. n, 3/5, 9 Let v = -643 - -652. Put v, 0, 1 in descending order. v, 1, 0 Let t = -184 - -182. Let y = 0.02 + 0.48. Sort y, 0, t in increasing order. t, 0, y Let k be (19/((-114)/24) - (3 - 10))/1. Let p = 0 + 1. Sort k, p, -5, 4 in decreasing order. 4, k, p, -5 Let f = -29 - -29. Suppose 2*k - 6*k = -4*x, 3*x - 2*k + 5 = 0. Put x, 2, f in decreasing order. 2, f, x Let u be (1 - 3)*(-4 - -3). Let m be (6/27)/(u/(-4)). Suppose -3*j = 5 - 14. Put m, j, -4 in decreasing order. j, m, -4 Let d be (7/3)/((-9)/108). Let y = 29 + d. Suppose 0 = -3*j - 2*w - 12, j - 2*w + 8 = -4*w. Put y, -1, j in ascending order. j, -1, y Let z = 1595 + -1594.341. Let k = 0.041 + z. Let c = 9 - 4. Sort 0.1, c, k in increasing order. 0.1, k, c Suppose -3*q - z - 89 = 0, 2*q + z - 61 = 4*q. Let y = q + 32. Suppose j = -j - 8. Sort j, y, 5 in increasing order. j, y, 5 Let y = -65 + 64.962. Let a = 4.038 + y. Put 0, -1.6, 2/9, a in descending order. a, 2/9, 0, -1.6 Suppose -2*s + 6*f - 3*f = -13, 5*s - 4*f = 22. Suppose -6 + 34 = 4*a. Put -1, a, s in descending order. a, s, -1 Let m be (-288)/(-216)*(-27)/2. Sort m, 4, -5 in descending order. 4, -5, m Suppose q + 2*l + 2 = -9, -q + 1 = -l. Let p(i) = 2*i + 4. Let d be p(q). Let c(x) = x + 7. Let f be c(-5). Put f, d, -3 in descending order. f, d, -3 Let y = -0.8 - -4.8. Let b = -26.88 - -26.8. Let r = 4 - -1. Sort b, y, r in ascending order. b, y, r Let o(x) be the third derivative of -x**5/60 + x**4/4 + x**3 - 20*x**2. Let j be o(-1). Put 3, j, 1, -3 in descending order. 3, 1, j, -3 Let v(x) = -16*x - 111. Let m be v(-7). Sort m, 5, 18, 0.3 in ascending order. 0.3, m, 5, 18 Let v = -464 - -453. Put 3, 1, v in increasing order. v, 1, 3 Let s = -12.7 - -12. Let z = -0.1 - s. Let t = 0.1 - z. Put -2, -0.1, t in descending order. -0.1, t, -2 Let v(f) = -f**3 + 5*f**2 - f + 7. Let r(n) = n**3 - 4*n**2 + n - 7. Let u(x) = 7*r(x) + 6*v(x). Let t be u(-3). Sort 0, 3, t in increasing order. t, 0, 3 Let s = 4.1 - 3.8. Let k = -8.8 + 8.4. Sort 0.5, k, s, -2/15. k, -2/15, s, 0.5 Suppose -2*w + 2*s - s + 268 = 0, -2*s - 670 = -5*w. Let d = w - 539/4. Put -2, 1/2, d in descending order. 1/2, d, -2 Suppose 4*m - 20 = 4*q, 0 = 5*q - 4*m + 11 + 15. Sort q, 4, -1 in increasing order. q, -1, 4 Let z = -26 - -51. Suppose -17*h + z = -12*h. Sort -2, -4, h, 4. -4, -2, 4, h Let s = 3 - 2. Let j be (9 - 0)*2/9 - -2. Suppose 7 = 3*o - y + 22, -j*o = -3*y + 25. Sort 2, o, s in decreasing order. 2, s, o Let a = -576.1 + 546. Let b = a + 32. Let m = b - -2.1. Put m, 2/3, 1/2 in descending order. m, 2/3, 1/2 Let g be 2 + 2 + 14/(-7). Put g, 0.7, -0.6 in descending order. g, 0.7, -0.6 Let y = -1376 - -1372. Let k = 8 - 5. Suppose -5*t + k = -2*t. Sort y, t, 2/7 in increasing order. y, 2/7, t Let i be (6/(-4))/((-1)/10). Let l = i - 18. Let s be 2/(-8) - (-2)/8. Sort l, s, 5. l, s, 5 Let q = 1167 + -1167.3. Let o = -19 + 11. Sort o, 0, q in descending order. 0, q, o Let u be 399/(-14) + (0 - -3). Let y = -25 - u. Put 4/7, -0.4, y, -2/11 in increasing order. -0.4, -2/11, y, 4/7 Let s(k) = 2*k - 4. Let t be s(6). Suppose 0*f + t = 4*f. Put f, -2/9, 0.2 in decreasing order. f, 0.2, -2/9 Let t = -1.2 + 4.2. Let y = t - -2. Sort 3, y, -0.4 in decreasing order. y, 3, -0.4 Let r be (-7 + (-3210)/(-459))*-6. Sort 3, r, -4/7, 2/5 in decreasing order. 3, 2/5, r, -4/7 Let f be 57/12 + ((-120)/(-32))/15. Put 21, 0, f, 4 in descending order. 21, f, 4, 0 Suppose -10 = 3*b - 4*o, o - 2 - 10 = -4*b. Let d(y) = -5*y - 2. Let k be d(2). Put b, 1, k in descending order. b, 1, k Let w = -3.32 - 0.18. Let c = w - -4. Let h be ((-1)/3)/((-1)/(-6)). Sort 3/4, h, c. h, c, 3/4 Let y = 2.84 - 3.04. Let o = -0.05 - 0.05. Put y, o, -5 in increasing order. -5, y, o Let f be (-1)/4 - 4/112*-35. Suppose 4 = -2*s - 0. Put f, s, 1/2 in descending order. f, 1/2, s Let l be 2/3 - (-40)/3. Let s = -2586.5 + 2587. Sort s, l, -0.4 in descending order. l, s, -0.4 Let c = -0.044 + 0.354. Let b = c - 0.25. Sort b, 0.2, -0.4, -2/3 in ascending order. -2/3, -0.4, b, 0.2 Let n = 18.429 - -0.571. Put 1, n, 4 in ascending order. 1, 4, n Let i = 0.4 + 1.1. Let u = -2 + i. Suppose -2*m = 4*p + 20, 2*m + 0*p + 15 = -3*p. Put u, -5, m in increasing order. -5, u, m Let a be 15/(55/(-77) + (-2)/7). Let d be 49/(-35) + (-6)/a. Sort -0.2, d, -9. -9, d, -0.2 Let p = 47 + -43. Sort 0, -2, -3, p in descending order. p, 0, -2, -3 Let o(q) be the first derivative of -5*q**2/2 - q + 10. Let f be o(-1). Suppose 2*u - 12 = 6*u. Sort -4, f, u. -4, u, f Let i be (24/16)/((-72)/(-16)). Put 2, 0.3, i, 2/5 in descending order. 2, 2/5, i, 0.3 Suppose 2*n - 106 - 28 = -4*u, 3*u - 131 = -2*n. Put 5, -1, n in decreasing order. n, 5, -1 Let x(t) = -9*t + 86. Let r be x(10). Sort 7, 1, r. r, 1, 7 Suppose 0*s - 3*s = -4*j, 3*j + 2*s = -17. Let w(p) = -p**3 - 11*p**2 + 1. Let y be w(-11). Suppose -9*g = -0*g + 36. Put j, y, g in descending order. y, j, g Let x = -3.29 + 3.29. Sort -3, x, -0.3, -4. -4, -3, -0.3, x Suppose 19*t - 73 + 73 = 0. Sort -19, 3, t in increasing order. -19, t, 3 Let z = -1 + 3. Let c = z - -8. Let r = c + -10. Sort 0.5, 4, r in increasing order. r, 0.5, 4 Suppose 30 = -0*v + 15*v. Let n(k) = 2*k - 9. Let g be n(8). Put 3, 4, g, v in descending order. g, 4, 3, v Let j be 2 + 2 + -4 + 4. Let t = 2.15 + -2.05. Sort t, -0.1, j in descending order. j, t, -0.1 Let f be (2/(-4))/(1/(-6)) - 0. Sort 10, -5, f in increasing order. -5, f, 10 Let w = 3 + -7. Let s = 1470 - 1461. Sort -1, s, w in decreasing order. s, -1, w Let b be (-17)/(-255)*(-10)/12. Put b, 2/5, 6/5 in descending order. 6/5, 2/5, b Let f(t) = 9*t + 8. Let u be f(1). Suppose -13*l = -4*l + 18. Put u, l, -5 in descending order. u, l, -5 Suppose 0 = -5*k + 4*k + 90. Let t be 2145/k - (-2)/(-12). Let s = 24 - t. Put 2, -2, s in increasing order. -2, s, 2 Let z(p) = -p**3 - 6*p**2 + 12*p - 31. Let y be z(-8). Sort 7, 3, y in decreasing order. 7, 3, y Suppose 0 = 3*n - 110 + 104. Suppose -n*a - 9 = a. Sort a, 1, 5 in decreasing order. 5, 1, a Suppose -2*n + 35 = -3*s - n, 0 = 3*s - 2*n + 40. Let c be ((-24)/s - 2)/(16/15). Sort 0.1, -19, c. -19, 0.1, c Let y = 45.9 - 42.9. Let t = 14 - 6. Let l = 8.1 - t. Sort l, y, 0 in increasing order. 0, l, y Let x = -0.1 + 0. Let b = -4.6 + 4.75. Let g = 0.25 + b. Put x, 0.1, g in decreasing order. g, 0.1, x Let d = 2 + 0. Let p = -15962 - -15962.1. Sort d, -3, p, -5. -5, -3, p, d Let y be ((-4)/50)/(2*(-6)/60). Sort -8, 1/4, y in descending order. y, 1/4, -8 Let x be (16/8)/((-8)/2). Sort 2/7, x, -0.1, -3 in descending order. 2/7, -0.1, x, -3 Let f = -14 - -10. Let b = -2871.94 - -2872. Sort f, b, -5 in descending order. b, f, -5 Let v = -0.0577 - -7.0577. Put 1/3, -1/9, v in descending order. v, 1/3, -1/9 Let p = 799 - 802. Put 0.14, p, -5 in increasing order. -5, p, 0.14 Let p(k) = 4*k**2 - 80*k + 75. Let z be p(19). Sort 3, -5, 4, z in increasing order. -5, z, 3, 4 Let r(x) = x**2 - 15*x + 20. Let b be r(14). Let j be 3 - 3 - b/12. Put 0.1, -4/3, j in descending order. 0.1, j, -4/3 Suppose -4*x = 5*u + 164, 2*u + 4*x + 68 = -0*u. Let p = u - -37. Supp
{ "pile_set_name": "DM Mathematics" }
alse Suppose 235609 = 3*t + 4*j, 61595 + 174000 = 3*t + 2*j. Is t prime? False Let m = -71 - -65. Let o(h) = 118*h + 32. Let n(i) = -39*i - 11. Let t(c) = -11*n(c) - 4*o(c). Is t(m) a composite number? False Suppose 0 = 8*v - 293305 - 472063. Is v composite? True Let w(h) = 12*h**2 - 9*h + 5. Suppose 3*k - 25 - 20 = 0. Let i be w(k). Suppose -1279 = -2*g - 0*l + l, -4*g = 2*l - i. Is g composite? False Suppose 3*q - 2*q - 2 = 0. Suppose 1446 = 3*x - 3*m, -q*x + 979 = m + 2*m. Suppose -7*u + x = -1328. Is u a prime number? False Let f(a) = 6595*a + 5509. Is f(18) a composite number? True Suppose -131*c = -146050 - 1357437. Is c prime? False Let x be (-1 - (-2 + 2))*(-125810)/10. Let n = x + -5767. Is n a composite number? True Is (-27 + 90 - 64) + 1/1 + 1316999 a prime number? True Is 970063 - (-25 - (-37 - 8)) a composite number? False Suppose -4 = -2*k + 2*z + 4, 0 = -3*k - 3*z + 30. Suppose -3*j + 2*o + 12263 = 0, k*o - 12*o + 16389 = 4*j. Is j prime? True Suppose -16*a - 604870 + 154705 = -4552677. Is a a composite number? True Suppose 603619 = 2*q + 4*z - 795323, 2*z + 2797844 = 4*q. Is q a composite number? False Suppose 2*b - 4*g = 4 - 30, 3*b + 5*g = 16. Let n(s) = -9964*s + 91. Is n(b) prime? True Suppose 2*a - 3*m = 4736, -15*m = -11*m - 8. Is a prime? True Suppose -a - 378844 = -7*d, -17*d = -15*d + 5*a - 108257. Is d a composite number? False Let j be (-16)/(4 - -4) - -610. Let u = j + 173. Is u prime? False Let u = 7 - -6. Suppose -4 = -b, -3*a - 4*b + 2 = -44. Suppose a*k + 597 = u*k. Is k a composite number? False Suppose -5*m - 149 = -5*u - 5689, -3*m + 2*u = -3324. Let s = 2455 - m. Is s composite? True Let t = -93 - -98. Let x(w) = -21*w**3 - 9 + 8 + w - t*w**2 + 340*w**3. Is x(2) a prime number? False Let u(n) = -n**2 + 6*n - 6. Let c be u(4). Suppose -6320 - 147 = -3*y + c*l, -y - 5*l = -2184. Is y prime? False Let n(r) = -428*r + 5. Let g be n(1). Let s be (-1)/(-4) + g/(-36). Let m(u) = 8*u**2 + 18*u - 7. Is m(s) prime? True Let c(t) = -2*t - 4. Let k be c(1). Is k/2*(-2849)/21 prime? False Suppose 5*v = -7282 - 2073. Let b = v + 898. Let c = -359 - b. Is c prime? False Let l(t) = -2580*t + 120. Let r be l(-1). Let n(j) = -193*j**3 + 3*j**2 + 2*j - 1. Let z be n(-2). Let p = r - z. Is p a composite number? True Let w = -57 - -128. Let b = w + -71. Is 899 - ((-1 - (2 - b)) + 1) a prime number? False Let v be (-1)/(3*(-5)/45). Suppose -i + 512 = y, 0*y - v*i - 1009 = -2*y. Is y prime? True Let h(v) = -4*v**2 - 14*v - 10. Let z = -67 - -79. Let y be h(z). Let n = -123 - y. Is n composite? False Suppose -657515 = -25*m + 287341 + 121169. Is m a composite number? False Let f(o) = -o**3 - o**2 + o + 2395. Suppose 0*x + 2*x = 3*x. Is f(x) a prime number? False Suppose 34*i = 7049339 - 1662277. Is i a composite number? False Let r(g) be the second derivative of -g**5/20 - g**4/6 + g**3/6 - 3*g**2 + 16*g. Let q be r(-3). Is (-6)/(-6)*1087*(1 - q) a composite number? False Let t(u) be the second derivative of 5*u**4/12 + 2*u**3/3 - 11*u**2 + u. Let q be t(11). Suppose 5*f = 2078 + q. Is f a composite number? False Suppose 125423 = 3*x - 4*y, y = 4*x + 1145 - 168380. Is x composite? False Suppose 242*r - 243*r - 5 = 0, 5*q - 139750 = -3*r. Is q a composite number? False Is (-1)/(-5 - (20/(-427762)*235269 - -6)) prime? True Let v(m) = -24*m**3 + 14*m**3 + 2 + m + 9*m**3. Let d be v(-1). Suppose 5*s - 5*w = 370, -2*s + 296 = 2*s - d*w. Is s composite? True Suppose 7 = 2*u + 1. Suppose -4*j + u*j + 5 = 0. Suppose 0 = -m - 5*y + 1017, 2044 = 3*m - m + j*y. Is m a composite number? True Let y = -16303 + 39483. Suppose -5*f - 3*u + y = -17426, -16250 = -2*f - 5*u. Let i = -5223 + f. Is i a composite number? False Suppose -71*x = 124974 - 1269991. Is x a composite number? False Let k(f) = 4*f - 32. Let r be k(8). Suppose 14*l - 15*l - 2*z + 23453 = 0, 5*l + 3*z - 117272 = r. Is l a composite number? True Let x = -157671 - -396442. Is x composite? True Let r = 13246 + -8169. Is r prime? True Suppose 4*i + 6 = -u + 22, 2*i - 6 = 0. Suppose -u + 0 = -g. Suppose -g + 198 = n. Is n composite? True Suppose 7*i - 497024 = -29571. Is i prime? False Let p(c) = -c**2 + 19*c - 14. Let a be p(18). Is 2591/a*(91 - 79) composite? True Suppose 0 = 344*h - 343*h - 3, -x - 3*h = -60760. Is x composite? True Suppose 8 = -2*g, -2*g + 417148 = 81*d - 77*d. Is d prime? False Suppose -5*d - 5*g + 27880 = 0, g + 7580 = 4*d - 14704. Suppose -5*f = -h + 5542, 0*h + h + f = d. Is h a prime number? False Suppose 5*f + 23 = 53, -16438 = -4*p - 3*f. Is p composite? True Let q(t) = t**3 + 6*t**2 + 3*t + 9. Let u be q(-6). Let j(m) = -528*m + 15. Let g be j(u). Suppose -11*i + g = -8*i. Is i a composite number? True Let q(x) = 38 - 51*x + 270*x + 175*x + 323*x. Is q(7) a prime number? False Is 241306/(-26)*(2 + -3)*5 a composite number? True Suppose 95*a + 1244957 - 6383412 = 0. Is a a prime number? False Suppose 391511 = 5*m - 3*k, m + m = 5*k + 156612. Is m prime? True Let l be 1 + (-2 - 1) + -7 + 11. Suppose 3*h + 2*s + l*s = 32, 2 = -2*h + 2*s. Is h/18 - (11248/(-9) + 1) composite? False Is (6370/4 - 2)*15/(165/374) prime? False Suppose -569137 = -2*c + 497217. Is c prime? True Let a(d) be the third derivative of 53*d**6/120 - 7*d**5/30 + 19*d**4/24 + 17*d**3/6 - 21*d**2 + 3*d. Is a(8) prime? False Let j(n) = 45*n - 19 - n**3 - 8*n**2 - 17*n + n**2. Is j(-20) composite? False Let g be 1 + (-39)/(-26) + 1/2. Is (-1 - 0)*(-1470 - g - -2) a composite number? False Let m(p) = -p**3 - 7*p**2 + 2. Let i be m(-7). Suppose -i*g + 5389 = -777. Suppose -f + 672 = -g. Is f prime? False Let n(d) = -38 + d + 24*d**2 + d + 33 - 10*d. Is n(6) prime? True Suppose 493*t - 530*t = -403189. Is t a prime number? False Suppose -2*x - 2714 = p + 2*p, 4*x = 3*p - 5428. Let g = x - -2606. Is g composite? False Let o(s) = -2*s**2 + 44*s + 3. Let d be o(22). Suppose 0 = x - b + 3*b - 31981, 3*x - 95988 = d*b. Is x a prime number? True Suppose o - 37 = -3*c - 0*o, 0 = -c - 2*o + 4. Suppose x = f + 6, 0 = 5*x + f - c - 4. Suppose x*m - 168 - 316 = 0. Is m composite? True Let u(t) = 2*t + 14. Let p be u(-5). Let f be (2/p)/((-4)/(-56)). Let s(j) = -2*j + 37. Is s(f) a composite number? False Suppose -4*v = -2*q, 3*q - 2*v + 21 = 9. Let s(p) = 15*p**2 + 2*p + 9. Is s(q) composite? True Let t be 35113/2 - (-6)/(-4). Is (56/(-120) - 4/(-6))*t prime? True Let w(i) = -i. Let u(b) = -10*b. Let o(g) = -2*u(g) + 22*w(g). Let l be o(0). Suppose l = 2*x - 229 - 409. Is x a composite number? True Suppose -12*b = -19*b + 711*b - 360897856. Is b prime? False Is (-9*(-12953264)/(-48))/((5 - -1)/(-2)) prime? True Suppose 23915 + 44550 = 5*z. Let i = z - 6852. Is i a composite number? False Let o = -10340 + 6709. Let r = o - -5964. Is r a composite number? False Suppose -c = -3*c + 18. Let z(q) be the second derivative of -q**4/12 + 3*q**3 - q**2 + 12*q - 2. Is z(c) a prime number? True Suppose 24*c - 5 = 43. Is (-796377)/(-21) + (c - 60/35) a prime number? False Let p be (-16 + 14)*(-1 + -1179). Let y = 164 - p. Let f = y - -3847. Is f a prime number? False Suppose 0 = -5*k - 15, -5*y - 2*k + 3 = 154. Let z = 43 - y. Suppose 2*m + z = 934. Is m a prime number? True Suppose -25*u + 7438 = x - 26*u, 4*x - 2*u = 29746. Suppose -i = h - x, -10*i = -4*h - 7*i + 29726. Is h a prime number? True Let j(x) = 11486*x**2 + 11*x + 21. Is j(-2) a composite number? False Suppose 7*p = -4*x + 2*p - 12, -x = -p - 6. Suppose 19509 = 4*j - j + x*l, -19509 = -3*j + 5*l. Is j a prime number? False Let i be 5/2 - 105/70. Is (5945 - 3) + (i - 4) a prime number? True Let c(f) = 8*f**2 + 6*f + 2. Let l be c(-2). Is 91465/l*6/3 a composite number? True Let t = 4308 - 4305. Let h(d) = 90*d - 5 - 2 - 23*d. Is h(t) a composite number? True Suppose -61*f + 62*f - 4*h = 74, f + 5*h = 65. Is (-20)/f - 353037/(-21) prime? True Let s(z) be the first derivative of 25*z**4 - z**3 + 2*z**2 - 16*z - 62. Is s(3) composite? True Suppose a - 282253 = -93*z + 91*z, 5*z + 15 = 0. Is a prime? False Let o be 5/15 + 55/15 + -1. Suppose -1949 = 2*f + 4*v - 5123, -o*f + 4783 = -5*v. Is f a prime number? False Suppose 2*k - 20 = -r - 0*k, -5*r = -5*k - 40. Suppose -3*d + 1350 = 2*u + u, 3*u = r. Is d composite? True Let g = -213 + 234. Suppose 6*u - g*
{ "pile_set_name": "DM Mathematics" }
at is the hundreds digit of r? 6 Suppose 3*i - 15 = 4*g + 11, -8 = -2*g. Let a = i + -7. What is the units digit of a? 7 Let l(z) = z**2 + 16*z - 9. Let g be l(-6). Let s = -44 - g. What is the units digit of s? 5 Suppose -3*o = -4*o - 2, l = o + 50. Suppose -53*c = -l*c - 505. What is the hundreds digit of c? 1 Let k(n) = -34 + 24*n + 10 + 13 + 13. Suppose 2*z = -3 + 5. What is the tens digit of k(z)? 2 Suppose -4*v - 13 = -4*o + 7, 20 = 4*o + 5*v. Suppose -2*y - 3*d + 148 = 0, o*d - 36 + 200 = 2*y. What is the units digit of y? 7 Suppose -11 = -5*z - 1. Suppose 5*m - 269 = -4*w + 12, -143 = -z*w - 3*m. What is the units digit of w? 4 Let r(q) be the third derivative of q**5/60 + q**4/4 + q**3/2 - 3*q**2. What is the units digit of r(-9)? 0 Suppose 4*k = -3*v - 2*v + 59, -k = 3*v - 34. Let q = v + -15. What is the units digit of q/10 - 3872/(-80)? 8 Let k = -22 - -14. Let w be k + 1 + (-18)/(-6). Let a(d) = d**2 - d - 4. What is the units digit of a(w)? 6 Let y(r) = r**3 - 8*r**2 - 8*r - 9. Let k be y(9). Suppose -37 = -2*i + m, 0 = -5*i - k*i - 4*m + 60. What is the units digit of (-2)/8 - (-212)/i? 3 Suppose 2274 = 114*r - 108*r. What is the hundreds digit of r? 3 Let l = -17 - -23. Let y(j) = j**3 - 3*j**2 - 4*j + 6. Let u be y(l). Let z = -57 + u. What is the tens digit of z? 3 Suppose -6*b + 2*b - 216 = 0. Let a = b - -109. What is the tens digit of a? 5 Let t(j) = -j**3 - 31*j**2 - 22*j + 70. What is the tens digit of t(-31)? 5 Suppose -r + 16 = -4*u - 0*r, 0 = 4*r. Let z(l) = 4*l**2 + 7*l - 4. Let v be z(u). What is the units digit of 10 - 7 - (1 - v)? 4 Suppose z = -3*l + 920, 48*l = 53*l - z - 1544. What is the tens digit of l? 0 Let q = -3 + 0. Let s be q/((-4)/(-8) - 2). Suppose -4*c = -2*y + 18, s*y + y + 4*c - 7 = 0. What is the units digit of y? 5 Let p = 3358 - 1044. What is the hundreds digit of p? 3 Let k = -268 + 489. What is the tens digit of k? 2 Let g(l) = 19*l**2 - 13*l + 9. What is the tens digit of g(4)? 6 Suppose 0*a + 20 = 5*a. Let g = 12 + -10. Suppose g*j + a*o = 0, -4*j - 5*o - 28 = -5*j. What is the units digit of j? 8 Let c(v) = 72*v - 57. What is the hundreds digit of c(6)? 3 What is the units digit of 804/(-10)*2470/(-114)? 2 Let i(q) = 9*q**2 - 8*q**2 + 2*q**3 - 2 - 3*q**3 + 13*q. What is the units digit of i(-4)? 6 Let z(o) be the third derivative of -o**4/24 - 5*o**3/6 + 5*o**2. Let f be z(-5). Suppose f = -4*s + 13 + 15. What is the units digit of s? 7 Let g = -9 - -9. Suppose g = -c + 4*c - 42. What is the units digit of (-2)/(-2)*(c + -11)? 3 Let y = 0 - 0. Suppose 5*x - 70 = -2*r - 10, 5*x = 4*r - 120. Suppose y*q - 2*q + r = -u, -4*u - 22 = -q. What is the tens digit of q? 1 Suppose -118*o = -106*o - 2964. What is the hundreds digit of o? 2 What is the tens digit of (-636)/(-4) + 6 + -1 + -9? 5 Let o = -564 - -4096. What is the tens digit of o? 3 Let m = 911 - 324. What is the tens digit of m? 8 Suppose 0 = -2*p - p. Suppose 2*x - 11 = -3, 2*x = -3*k + 20. Suppose p = -k*a - a + 205. What is the tens digit of a? 4 Let x = -7 - -5. Let o be (-4 - x)*(-3)/2. Suppose -5*b + o*l + 29 = -b, 4*b + 3*l = 11. What is the units digit of b? 5 Let w = 458 - 291. Let p = w - 77. What is the units digit of p? 0 Let z(r) = -3*r + 9 + 12 + 4*r - 2*r. Let u be z(-9). Let n = u + 10. What is the units digit of n? 0 Suppose -3509 = -s + 1267. What is the thousands digit of s? 4 Let a(d) = -d**3 + 23*d**2 - 17*d - 32. What is the tens digit of a(22)? 7 Let q be (-27)/12 + 3/(2*6). What is the units digit of 53 - (3 + -2) - q? 4 Suppose -c = -5*t + 995, -5*c = -t + 5*t - 796. What is the hundreds digit of t? 1 Let z = -493 - -858. What is the units digit of z? 5 Suppose 4*d - 8 = 3*p, -2*d = -3*d - p + 2. Suppose d*b + 24 + 0 = 0. Let y = b - -34. What is the tens digit of y? 2 What is the tens digit of (19/6*2)/((-140)/(-36540))? 5 Let s = -130 - -170. What is the tens digit of s? 4 Suppose 27*m + 16000 = 37*m. What is the hundreds digit of m? 6 Let c = -4292 - -7500. What is the tens digit of 7*10/385 - c/(-22)? 4 Suppose 5*j + 2*c = -2*c - 83, -j = 4*c + 23. Let k be (6/j)/((-6)/(-180)). Let n = 12 - k. What is the tens digit of n? 2 What is the hundreds digit of (-4)/(-18) + -2 + (-6760)/(-36)? 1 Suppose -3*u - 129 = 3*z, 0 = -z - z - 8. Let j(b) = 56*b**2 + 6*b + 7. Let g be j(-1). Let f = g + u. What is the tens digit of f? 1 Let j(w) = -77*w + 3. Let g be j(-1). What is the tens digit of 5/(g/(-76))*-12? 5 Let i be 2570/20 - (-2)/(-4). Let k = -11 + -46. Let b = k + i. What is the tens digit of b? 7 Let v = 1664 + -990. Let o = v + -429. What is the tens digit of o? 4 Suppose 0 = -u + 28 - 34. What is the units digit of (-3)/u*(-1 - -39)? 9 Let c = 174 + -107. Suppose s = 2*q + 70, -3*q = s - 2*s + c. What is the tens digit of s? 7 Let a be (-2)/(-2) - (-712 + -6). Suppose 6*d + 245 - a = 0. What is the units digit of d? 9 Let s(i) = -3979*i - 31. What is the tens digit of s(-1)? 4 Let r = -34 + 34. Suppose 2*q + 5*k - 30 = 0, -q + r*q = 5*k - 20. What is the units digit of (-35)/14*(-112)/q? 8 Let v = 4 - -3. Let s(y) = y**3 - 7*y**2 + 1. Let f be s(v). Let o = f - -19. What is the tens digit of o? 2 Suppose -4 = -3*v + 5*r - r, v - 8 = -2*r. Suppose 7*t = v*t + 9. What is the tens digit of (2 - 23)*(-4)/t? 2 Suppose l - 21 = -2*l. Suppose -2*f - 200 = -l*f. What is the units digit of f? 0 Suppose 0 = 7*r - 2*r - y - 2524, 2*r = -3*y + 1013. What is the units digit of r? 5 Let u = -93 + 97. What is the tens digit of 137/3 - u/6? 4 Let u(c) = 328*c + 19. What is the hundreds digit of u(2)? 6 Let t(v) = 1594*v**2 - 5*v - 3. What is the tens digit of t(1)? 8 Suppose -5*q - 204 = -7*q. Suppose -4*d + q = 2*d. What is the units digit of d? 7 Suppose 5*u - 3128 = 1577. What is the hundreds digit of u? 9 Let v(q) = 4*q + 3. Let z be v(-7). Let b = z + 52. Suppose h - 63 = -4*j, -2*j + b = -0*j - h. What is the units digit of j? 5 Let b(y) = 11*y**2 - 30*y - 147. What is the hundreds digit of b(-8)? 7 Let y(f) = f. Let p(o) = -2*o + 15. Let j(c) = -p(c) + 2*y(c). What is the tens digit of j(10)? 2 Let t(l) = -7*l - 12*l + 2*l. Suppose 4*n = 5*c - n - 20, 25 = -5*n. What is the units digit of t(c)? 7 Suppose 3*r - 4*j - 145 = 87, -r - 5*j + 109 = 0. What is the units digit of r? 4 Let s(v) = 3*v**3 - v - 2. Let q be s(2). Let r(o) = o**3 - 5*o**2 - o + 10. Let l be r(5). Suppose -i + l*f - 15 = 3, q = 5*f. What is the units digit of i? 2 Suppose n - 23 = 12. Suppose -69 = -2*r + n. What is the units digit of r? 2 Let j = 404 - -52. What is the units digit of j? 6 Let u = 232 + 81. Let m = u - 159. What is the tens digit of m? 5 Suppose 3*x = j + 283, 131 - 20 = x + 3*j. What is the units digit of x? 6 Let v(w) = 19*w + 5. What is the hundreds digit of v(8)? 1 Suppose 5*u = 4*t, -4*t = -20 - 0. Suppose 0 = -3*x - 15, 5*l - 3*l - 282 = -u*x. What is the units digit of l? 1 What is the units digit of 4/(-1) - (-972 - (-4 - 0))? 4 Suppose -4*x + 2*x + 10 = 0. Suppose 0 = x*j + 23 + 17. Let n(g) = 2*g**2 + 11*g + 12. What is the units digit of n(j)? 2 Suppose -934 = -2*n + 3*y, 0 = 2*n + 5*y - 380 - 522. What is the tens digit of n? 6 Let t(f) = 2*f**2 + 4*f + 2. Let a be t(-2). Suppose 0*z = -a*z + 10. What is the units digit of z? 5 Suppose 53 = 5*i - 2*s - 1956, -4*i + 1624 = 4*s. What is the hundreds digit of i? 4 Let b(j) = 3*j**3 + 24*j**2 + 12*j - 21. Let l(q) = q**3 + 8*q**2 + 4*q - 7. Let r(p) = -2*b(p) + 7*l(p). What is the units digit of r(-5)? 8 What is the tens digit of 2367 - ((-2)/(-14) + (-2108)/(-434))? 6 Suppose 0 = -5*b + 15, 4*b + 2392 = 4*o - 392. What is the tens digit of o? 9 Suppose o + 4*k + 7 = 18, o + 3*k - 9 = 0. Suppose q = -2*z + 99, -q - 2*q - o*z + 306 = 0. What is the tens digit of q? 0 Suppose -l + 8 = 5. Suppose -151 = -4*o - l*n, -3*n = -o - 2*o + 129. What is the units digit of o? 0 Let q be 6/(-10)*(6 - 11). Let z(b) = 17*b - 1 + 4 - 2 - q. What is the tens digit of z(1)? 1 Let n(d) = d - 3. Let t(v) = -v**2 + 6*v + 19. Let o be t(8). Let q be n(o). Suppose -6*j + 106 + 248 = q. What is the tens digit of j? 5 Suppose -4*d + 4*f = -36, 18 = -3*d + 8*d + 4*f. What is the units digit of d? 6 Let u = -20 - -25. Suppose -254 = -u*q + 86. What is the tens digit of q? 6 Suppose -4*u + 14 = 3*
{ "pile_set_name": "DM Mathematics" }
(((((k**(-1)/k)/k)**(-5/3))**(-45))**(2/43))**(-30) assuming k is positive. k**(13500/43) Simplify (k*k/((k*k**(-4/5))/k)*k*k*k**5*k**(-1)/(k**(-1/8)/k))/((k**0)**15/(k**5*k*k/(k/k**(-1/9)))) assuming k is positive. k**(5693/360) Simplify ((f**1*f**(1/10))/(f/f**(-1)*f)**(23/2))/((f*f*f*f**0/f)**(-9/2)/(f*f/(f**(2/23)*f)*f**(-2/17))) assuming f is positive. f**(-46147/1955) Simplify ((z/z**3)/(z*z/z**(-2/21))*((z/z**1)/z)**(-1/6))/((z**(-4)/z*z*z**(-1/2)*z)/(z**(-1)*z)**(-9/10)) assuming z is positive. z**(-3/7) Simplify ((k/((k**(-1/5)*k*k)/k))**4)**(2/115)/((k**(-2))**21)**(5/11) assuming k is positive. k**(120838/6325) Simplify (d**(1/3)*d)**9*d*d**(-6/5)*d/d**(-3/4)*(d*d**6)/(d/(((d*d**(2/3)*d)/d)/d))*(d**(2/7)/d*d)**17 assuming d is positive. d**(10531/420) Simplify (a**(-3/2)*a**(-2/9)*a*a*(a**0)**(-9/4))/((a*a*a/a**1)**(-38)/((a/((a*a**(2/3)*a)/a))/a)**(-22/3)) assuming a is positive. a**(177/2) Simplify ((w*w**(-1/6))/(w**3/w))**25/((w**(-1/2))**35/(w*((w**(1/2)/w)/w*w)/w)**(-2/49)) assuming w is positive. w**(-1712/147) Simplify d*d/((d**(-45)*d)/d)*(d/(d**(-28)/d))/d*(((d*d**(-2/59)/d)/d)/d)/(d/d**(-18)) assuming d is positive. d**(3243/59) Simplify ((r*(r/((r*r**(1/3))/r))/r)**(-2/35)/(r**(-24)*r/(r*r*r*r**(-20)*r)))**(4/5) assuming r is positive. r**(2924/525) Simplify (((((o**(-3)*o)/o)/(o*o/((o/o**(-6))/o*o)))/(o**8*o*o**8))**33)**(1/42) assuming o is positive. o**(-165/14) Simplify ((h**0*h)/(h/(((h/(h/(h/(h*h**2))))/h)/h)))**(-1/3)*(h**(1/9)/h*h*h**(-4)*h)/((h**(-2/11)/h)/(h/h**(2/5))) assuming h is positive. h**(112/495) Simplify ((k/((k*k**(-2/7))/k))/k**(-5/3))**(-6/23)/((k**(1/3))**17/(k**(-3)/(k*k/(k*k*k**(-5))))) assuming k is positive. k**(-6973/483) Simplify (c**(1/12)/((c/c**(-11))/c*c))**(-26/3)*c**6/c**1*c**(-2)/(c/((c*c**(-2/15)/c)/c)) assuming c is positive. c**(9373/90) Simplify g/(g*g**(2/23)/g*g)*g*g**(-7/4)*g**7*g/g**8*g*g*((g/(g/(g/g**(-2/5)*g)))**(44/7))**(-4/9) assuming g is positive. g**(-53533/9660) Simplify (((j**5)**50/(j**(-2/5))**(-29))**(-1/30))**(-1/64) assuming j is positive. j**(149/1200) Simplify ((y*y**0*y)**9)**(6/5)/((y*y**(-2/7))**(3/2)/((y/y**4)/y**(-6))) assuming y is positive. y**(1647/70) Simplify ((s**(-3)/s)/s)/((s**(1/25)*s)/s)*(s*s**21)/s**11 assuming s is positive. s**(149/25) Simplify ((q*q*q**(2/23)*q*q*q)/(q*q/(q*q**2)*q)*(q**1)**44)/((q*(q**(-5)/q)/q)/q**(-3/5))**(-1/46) assuming q is positive. q**(11263/230) Simplify p*p**(-25)*p*p*p**(12/7)*p*p*p*(p*p*p/(p*p/p**(-38)))**(11/5) assuming p is positive. p**(-3454/35) Simplify ((o**21*((o**(2/23)*o)/o)/o)/((o**29*o)/(o**14/o)))**31 assuming o is positive. o**(2201/23) Simplify (u**(-24)/(u/((u*u*u/(((u*u*u/u**(-2/17))/u)/u))/u))*(u**(-2/5)*u*u)/(u/u**(-2/11)))**0 assuming u is positive. 1 Simplify (((l/((l/((l/((l*l**(5/4)*l*l*l)/l))/l))/l)*l)/l)/l**10*l**14/(l/((l*l**(-20)*l*l)/l)))**(-18) assuming l is positive. l**(657/2) Simplify (z/z**(1/4))**35*z/(z*z**(1/2))*z/(z*z**(1/3)*z)*(z**6*z**(2/31))/(z/((z*z**(-1/9)*z*z*z)/z)*z**(2/5)/z) assuming z is positive. z**(183973/5580) Simplify (y**(2/11)*y*y*y**5)/(y**(-2/5))**(-28)*(y/(((y**(1/4)/y*y)/y)/y))**0/((y*y*y**(-1/4)*y)/(y**(3/2)/y)) assuming y is positive. y**(-1379/220) Simplify ((b*b*b**(-19)*b*b)/(b/b**(3/4)))/(b**(-28))**(5/7) assuming b is positive. b**(19/4) Simplify ((l**(-8))**(-1/12)*l*l*l*(l*(l*l**(-29)*l)/l*l*l)/l*l*l/(l/(l/(l*l**28*l))))**0 assuming l is positive. 1 Simplify (((x**(-4)/x)/(x**(2/15)/x))/(x**(-4)/(x*x**5)))/((x**(-1))**(-9)/(x/x**(-5)*x*x*x*x**(1/3)*x)) assuming x is positive. x**(36/5) Simplify ((z**(-3/7)*((z*z**(-7)/z)/z)/z)/(z**(-4)/z*(z/z**(2/23))/z))**(-27) assuming z is positive. z**(18873/161) Simplify ((((m/(m/((m/(m*m**5)*m)/m*m)))/m)/m)/(m/m**6))**(2/29)*(m**(2/25)/(m**(-4)*m))**(-9) assuming m is positive. m**(-20147/725) Simplify (x**(-6)*x**(-5/2)*x**(-3)*x*x**(-5))/((x/(x/x**1))**41/(x**(-4)/x**(1/5))) assuming x is positive. x**(-607/10) Simplify (((s/s**(-2))/s**(-5))/(s**(-1/5)/s**(-2/15)))/((s**(5/6)/s)/((s/s**(-10/7))/s))**(-40) assuming s is positive. s**(-1951/35) Simplify ((x**(-6/7))**(2/91)/((x/(x*x*x**(-18)/x*x))/x*x/(x**(-6)*x)))**32 assuming x is positive. x**(-448832/637) Simplify (z**(-7)*z**(-44)*z)/((z*(z*(z*z**(-5))/z*z)/z)/z*z*z**(20/3)/z*z) assuming z is positive. z**(-161/3) Simplify (y**32*y)/(y**(1/30)*y)*y**(-11/7)/(y/(y/(y/((y**(-26)*y*y)/y))*y)) assuming y is positive. y**(1133/210) Simplify c**5*c**(-1/6)/c*(c/(c*c/(c*c*c/c**(2/3))*c)*c)/(c*c*c**(3/7))*(c**0)**49/((c**(-1/2)*c*c)/(c/c**(3/7)*c)) assuming c is positive. c**(59/21) Simplify ((n**(-3))**(3/7))**43/((n/n**2*n)**(-35)/((n/(n*(n/(n/(n*n**(1/3))))/n))/n)**15) assuming n is positive. n**(-527/7) Simplify (x/(x/(x/(x*x*x**(2/7)))*x)*x*x**(-1))**(7/4)*(x**(-1/2)/x**(1/11))/(x*x**0/x)**18 assuming x is positive. x**(-101/22) Simplify ((i*(i**3/i)/i)/i**(-1)*i**(-19)*i/(i**(1/12)*i))**(-33) assuming i is positive. i**(2123/4) Simplify (b**24*b**(-19)*(b/b**(14/9))/b**14)**(-44) assuming b is positive. b**(3784/9) Simplify (y**(-8)*y/y**(-2/3))**(11/3)/((y**(1/4)*y**(1/7)*y)/((y**(-1/2)/y)/(y**(1/8)/y))) assuming y is positive. y**(-12721/504) Simplify ((u/u**(-1/6)*u**(1/3)/u*(u*(u**0/u)/u)/(u**0/u))**(6/5))**(-10) assuming u is positive. u**(-6) Simplify ((i*i**2)**(-3/11)/(i**(-1)/i*i**(-9)))/(i*(i*(i/i**(1/4)*i)/i*i)/i*i**4)**(-18) assuming i is positive. i**(2897/22) Simplify (i**(-1))**(2/7)/((i**(-2/9)*i)/i*i**(-2/7)*i)*(((i*i**(2/7))/i)**17)**(8/15) assuming i is positive. i**(571/315) Simplify (o*(o*o*o*o**(-9/11)/o*o)/o*o)/o**(-2/29)*o*o/o**(-24/7)*o*o**(-8/3) assuming o is positive. o**(46978/6699) Simplify ((((a/(a**(-3/5)/a))/(a*a**(-11)))**(-48))**(-4/3))**(-42) assuming a is positive. a**(-169344/5) Simplify (((q**(-1/2))**(-31)*(q**(-2/3)/q)**47)**(2/33))**(-17) assuming q is positive. q**(6409/99) Simplify ((o**(3/4))**(3/28)/(o**12*o**13))**(2/21) assuming o is positive. o**(-2791/1176) Simplify (x/(x/((x*x**1)/x))*x)**41*x**(-6)*x**2*x*(x**(-1/4))**(2/55)/(x*x/((x/(x**(-2/19)/x))/x)*x**1) assuming x is positive. x**(161131/2090) Simplify ((h*h*h/((h**(-5)*h)/h)*h/((h*h**(-3/2)*h)/h))/(h**(-1/4))**(1/76))/(h**(-2/15)*h*h/((h*h*h*h**(2/27))/h))**(1/39) assuming h is positive. h**(15219097/1600560) Simplify (u**(2/9)/u*u**(-1))**(-30/11)*((u*u/u**(-1/4))/(u**(2/5)*u*u))**(2/19) assuming u is positive. u**(30301/6270) Simplify ((b**(2/9))**31*b/(b/b**(-17)*b)*b**6)**(-11/4) assuming b is positive. b**(253/18) Simplify (i**(1/2)/i**1*i**(-6)/(i*i/(i*i**(-4))*i))/((i**(2/3))**(1/22))**(1/2) assuming i is positive. i**(-413/33) Simplify ((t/(t*t**29)*t)/(t*t**(-13)))/((t/t**(1/4))/(t*t**(-1/2))) assuming t is positive. t**(-65/4) Simplify p/p**(1/4)*p*p**41*p*p*p**(-2/7)*p/(p/p**(-8/5))*p assuming p is positive. p**(6141/140) Simplify (k**3/k**(-4))**(-20)*(k*k**0)**44*k**(-1/4)/(k/(k*k**2/k)) assuming k is positive. k**(-381/4) Simplify ((o**(2/7)/o**(-8)*o*o**(-4/5)*o/((o*o**6)/o))**(-20))**(-38/7) assuming o is positive. o**(18544/49) Simplify (v**(1/4)*v**(-1)*v)**(-13)*(v/(v/v**(-1/2)))/(v/v**(-2)*v)*v**5*v*v/v**(1/6) assuming v is positive. v**(-11/12) Simplify ((a/(a**(7/2)/a)*a)/a**(1/8))**44*((a*a*a**(-2))**(-40))**(-21) assuming a is positive. a**(-55/2) Simplify ((c**(-3/2))**(-41)/(c**(1/2)*c)**21)**(-1/19) assuming c is positive. c**(-30/19) Simplify ((s*s/s**(2/17)*s)**(-1/3)*(s/(s*s**(1/24)))**(-1/23))**(-31) assuming s is positive. s**(278969/9384) Simplify ((((p/(p/(p**(-2/9)/p)))/((p/p**(-1/4))/p*p))/(p**(-2/13)/p*p*p*p*p/((p/((p/p**1)/p))/p)*p*p*p))**(-4/3))**(-7) assuming p is positive. p**(-23975/351) Simplify ((w*w**24/w)/(w**(-6)*w)*(((w*w/w**(-1/3))/w)/w)**44)**(-5/4) assuming w is positive. w**(-655/12) Simplify (z*z*z*z**(-3)*z**0*(z**1)**(-24))/((z*z/(z/(z/z**0)*z))**15*(z**(2/11)*z)/(z*z/(z/(z*z**5)*z)*z)) assuming z is positive. z**(-365/11) Simplify (k/(k**(-5/3)*k)*k**(-5/2)*k**(-5)/(k**(-2/11)*k*k))/(k*k*k/(k**(-4)*k)*k/k**1*(k*k**(1/7)/k)/k**1) assuming k is positive. k**(-5911/462) Simplify ((s*s/(s/(s**(-2)/s))*s*s**5)/(s**17/s**(-2/13)))**(-1/7) assuming s is positive. s**(171/91) Simplify ((w**(1/5))**(18/11)*w**(-2/3)/w*w/(w**(-1/3)*w*w))**(-40) assuming w is positive. w**(2648/33) Simplify (((y**0/y)/
{ "pile_set_name": "DM Mathematics" }
e the prime factors of 33712? 2, 7, 43 List the prime factors of 20415. 3, 5, 1361 List the prime factors of 19782. 2, 3, 7, 157 What are the prime factors of 5277? 3, 1759 What are the prime factors of 1393? 7, 199 What are the prime factors of 487? 487 What are the prime factors of 44979? 3, 11, 29, 47 List the prime factors of 15599. 19, 821 List the prime factors of 3904. 2, 61 List the prime factors of 559. 13, 43 What are the prime factors of 2614? 2, 1307 List the prime factors of 4372. 2, 1093 What are the prime factors of 6310? 2, 5, 631 What are the prime factors of 22594? 2, 11, 13, 79 What are the prime factors of 490? 2, 5, 7 List the prime factors of 1014. 2, 3, 13 What are the prime factors of 1943? 29, 67 List the prime factors of 521. 521 List the prime factors of 34377. 3, 7, 1637 List the prime factors of 98469. 3, 7, 521 List the prime factors of 369. 3, 41 What are the prime factors of 1005? 3, 5, 67 What are the prime factors of 103205? 5, 20641 List the prime factors of 751. 751 List the prime factors of 52062. 2, 3, 8677 What are the prime factors of 4086? 2, 3, 227 List the prime factors of 99150. 2, 3, 5, 661 What are the prime factors of 47518? 2, 23, 1033 List the prime factors of 4261. 4261 What are the prime factors of 2945? 5, 19, 31 What are the prime factors of 49266? 2, 3, 7, 17, 23 What are the prime factors of 1259? 1259 What are the prime factors of 89573? 11, 17, 479 What are the prime factors of 13069? 7, 1867 What are the prime factors of 69867? 3, 7, 1109 List the prime factors of 6111. 3, 7, 97 What are the prime factors of 1894? 2, 947 List the prime factors of 4236. 2, 3, 353 List the prime factors of 3942. 2, 3, 73 What are the prime factors of 2827? 11, 257 List the prime factors of 59394. 2, 3, 19, 521 What are the prime factors of 18561? 3, 23, 269 List the prime factors of 3813. 3, 31, 41 List the prime factors of 1836. 2, 3, 17 List the prime factors of 151. 151 What are the prime factors of 36958? 2, 17, 1087 List the prime factors of 28774. 2, 14387 What are the prime factors of 663? 3, 13, 17 List the prime factors of 6019. 13, 463 What are the prime factors of 1435? 5, 7, 41 List the prime factors of 221. 13, 17 List the prime factors of 86471. 7, 11, 1123 List the prime factors of 9771. 3, 3257 List the prime factors of 17461. 19, 919 List the prime factors of 2919. 3, 7, 139 List the prime factors of 1846. 2, 13, 71 List the prime factors of 4351. 19, 229 What are the prime factors of 38555? 5, 11, 701 List the prime factors of 466. 2, 233 List the prime factors of 1002. 2, 3, 167 List the prime factors of 14098. 2, 7, 19, 53 List the prime factors of 236. 2, 59 What are the prime factors of 108179? 108179 What are the prime factors of 27220? 2, 5, 1361 List the prime factors of 4343. 43, 101 List the prime factors of 2466. 2, 3, 137 List the prime factors of 8281. 7, 13 List the prime factors of 383. 383 List the prime factors of 754. 2, 13, 29 What are the prime factors of 698? 2, 349 What are the prime factors of 8426? 2, 11, 383 What are the prime factors of 1455? 3, 5, 97 What are the prime factors of 4713? 3, 1571 What are the prime factors of 2360? 2, 5, 59 What are the prime factors of 6110? 2, 5, 13, 47 List the prime factors of 2910. 2, 3, 5, 97 What are the prime factors of 65997? 3, 7333 List the prime factors of 777. 3, 7, 37 What are the prime factors of 22400? 2, 5, 7 What are the prime factors of 19398? 2, 3, 53, 61 List the prime factors of 67353. 3, 11, 13, 157 List the prime factors of 154178. 2, 127, 607 List the prime factors of 21655. 5, 61, 71 List the prime factors of 12028. 2, 31, 97 What are the prime factors of 44942? 2, 23, 977 What are the prime factors of 27579? 3, 29, 317 List the prime factors of 2215. 5, 443 What are the prime factors of 91352? 2, 19, 601 What are the prime factors of 8846? 2, 4423 List the prime factors of 5229. 3, 7, 83 List the prime factors of 2054. 2, 13, 79 What are the prime factors of 1945? 5, 389 What are the prime factors of 4183? 47, 89 What are the prime factors of 860? 2, 5, 43 List the prime factors of 5954. 2, 13, 229 What are the prime factors of 6743? 11, 613 List the prime factors of 7901. 7901 List the prime factors of 43626. 2, 3, 11, 661 What are the prime factors of 2549? 2549 What are the prime factors of 51989? 7, 1061 List the prime factors of 24695. 5, 11, 449 List the prime factors of 250. 2, 5 List the prime factors of 3883. 11, 353 What are the prime factors of 6652? 2, 1663 What are the prime factors of 1045? 5, 11, 19 List the prime factors of 4255. 5, 23, 37 List the prime factors of 41581. 43, 967 List the prime factors of 1505. 5, 7, 43 What are the prime factors of 7? 7 What are the prime factors of 2568? 2, 3, 107 List the prime factors of 2079. 3, 7, 11 What are the prime factors of 77835? 3, 5, 5189 What are the prime factors of 3910? 2, 5, 17, 23 List the prime factors of 5301. 3, 19, 31 List the prime factors of 6769. 7, 967 What are the prime factors of 1628? 2, 11, 37 What are the prime factors of 295? 5, 59 List the prime factors of 7095. 3, 5, 11, 43 List the prime factors of 53092. 2, 13, 1021 What are the prime factors of 3586? 2, 11, 163 List the prime factors of 392. 2, 7 List the prime factors of 9365. 5, 1873 What are the prime factors of 50? 2, 5 What are the prime factors of 4349? 4349 What are the prime factors of 8582? 2, 7, 613 List the prime factors of 18647. 29, 643 List the prime factors of 4983. 3, 11, 151 What are the prime factors of 1446? 2, 3, 241 What are the prime factors of 6076? 2, 7, 31 List the prime factors of 35413. 7, 5059 List the prime factors of 5459. 53, 103 List the prime factors of 257. 257 List the prime factors of 86648. 2, 10831 What are the prime factors of 8230? 2, 5, 823 What are the prime factors of 2323? 23, 101 What are the prime factors of 8589? 3, 7, 409 List the prime factors of 12742. 2, 23, 277 List the prime factors of 12503. 12503 List the prime factors of 295. 5, 59 What are the prime factors of 1689? 3, 563 What are the prime factors of 694? 2, 347 List the prime factors of 109031. 13, 8387 List the prime factors of 1331. 11 List the prime factors of 1267. 7, 181 List the prime factors of 61871. 61871 List the prime factors of 412. 2, 103 What are the prime factors of 3259? 3259 What are the prime factors of 14095? 5, 2819 What are the prime factors of 17067? 3, 5689 List the prime factors of 2217. 3, 739 List the prime factors of 1127. 7, 23 What are the prime factors of 863? 863 What are the prime factors of 4567? 4567 What are the prime factors of 33651? 3, 3739 List the prime factors of 3072. 2, 3 What are the prime factors of 876? 2, 3, 73 List the prime factors of 1660. 2, 5, 83 List the prime factors of 53904. 2, 3, 1123 What are the prime factors of 9980? 2, 5, 499 What are the prime factors of 514? 2, 257 What are the prime factors of 5818? 2, 2909 What are the prime factors of 3170? 2, 5, 317 List the prime factors of 3152. 2, 197 What are the prime factors of 5234? 2, 2617 List the prime factors of 288. 2, 3 List the prime factors of 5971. 7, 853 What are the prime factors of 30348? 2, 3, 281 What are the prime factors of 581? 7, 83 List the prime factors of 11972. 2, 41, 73 What are the prime factors of 2401? 7 List the prime factors of 3986. 2, 1993 What are the prime factors of 2966? 2, 1483 What are the prime factors of 1519? 7, 31 What are the prime factors of 2214? 2, 3, 41 What are the prime factors of 3664? 2, 229 What are the prime factors of 20515? 5, 11, 373 List the prime factors of 27048. 2, 3, 7, 23 List the prime factors of 7981. 23, 347 What are the prime factors of 15671? 15671 List the prime factors of 6371. 23, 277 List the prime factors of 719. 719 List the prime factors of 2458. 2, 1229 List the prime factors of 1468. 2, 367 What are the prime factors of 8966? 2, 4483 List the prime factors of 1119. 3, 373 List the prime factors of 847. 7, 11 List the prime factors of 168798. 2, 3, 7, 4019 What are the prime factors of 143396? 2, 11, 3259 What are the prime factors of 11272? 2, 1409 What are the prime factors of 36543? 3, 13, 937 What are the prime factors of 2653? 7, 379 List the prime factors of 7266. 2, 3,
{ "pile_set_name": "DM Mathematics" }
= -c for c. -1 Let u be 2 + 1 + (3 - 3). Let i(d) = 0*d + 4*d - 2*d + 12 - u*d. Let p be i(9). Solve 0 = -v - p + 2 for v. -1 Let h = 3 - 17. Let y = h + 21. Suppose x - y = -4. Solve -4*s + 23 - x = 0 for s. 5 Let n = 6 + -4. Let o be n/7 - 57/(-21). Suppose g - 4*g = -6. Solve d + g*d = -o for d. -1 Suppose 0*r + 70 = 7*r. Let i(f) = 7*f**3 - 2*f**2 + 2*f - 1. Let k be i(1). Solve -k*w - r = -w for w. -2 Let q = -7 - -8. Suppose -3*m - 2*y - q = 0, 5*y = 2*y - 6. Solve 1 = w - m for w. 2 Let k(v) = -v**3 + 8*v**2 + 2*v - 12. Let p be k(8). Solve p*h = 9*h for h. 0 Let d = -37 + 42. Solve -d*x + 3*x = -2 for x. 1 Suppose 0 = -3*k + 2*f + 16 + 1, 3*f = -5*k + 3. Solve -k = 2*q - 3*q for q. 3 Suppose -v + 4*v + 7 = 4*y, 35 = 5*y + 5*v. Let g = -7 + 19. Suppose 6*x - 5*x = 0. Solve x*u = y*u + g for u. -3 Let l(n) = -18*n - 1. Let v be l(-1). Suppose 3*k + 5 = v. Suppose -2*x + 3*y = 0, 3*y = -k*x + 2*y. Solve -2*t - 2 - 4 = x for t. -3 Let h = 4 - -5. Let t = 12 - h. Solve n - t*n = 10 for n. -5 Let r(g) = 2 - g**2 - 3 - 4*g**2 - 2*g**2 + g**3 + 7*g. Let u be r(6). Solve u*y + 0 = -15 for y. -3 Let s = 4 - 1. Suppose s = o - 3. Solve -k = -o*k - 15 for k. -3 Suppose 0 = -2*l + d + 6, -5*l + 5*d + 10 + 15 = 0. Let y be -3 + 4 + (l - 2). Solve y*f = -4*f + 20 for f. 5 Let k = 74 + -70. Solve k*v - 8 = -28 for v. -5 Suppose -y = -x + 5, 3*y = 2*x + 2*x - 17. Suppose -x*b - 2*b = 0. Solve b = -3*l + l + 4 for l. 2 Let f = 4 - 2. Solve -f*t = 3*t + 25 for t. -5 Let m(z) = z**3 - 7*z**2 - z + 7. Let a be m(7). Let v be (-21)/(-6)*2 + a. Solve 0 = -2*o + v - 3 for o. 2 Let u(q) = q**3 - 5*q**2 - 8*q + 6. Let t be u(6). Let z = t - -10. Solve 0 = -z*l + 3*l for l. 0 Suppose 5*p - 3*p = 6. Suppose 49 = 5*l - p*n, 3*n + 5 = -4. Solve -3*i + l = -i for i. 4 Let z be 5 + -3 - 0 - 0/1. Solve z*v - 16 = 6*v for v. -4 Suppose -3*y + 12 + 21 = 0. Let t = y - 8. Solve o - t = 4*o for o. -1 Suppose l = 5*k - 9 - 9, -l = 3*k - 14. Suppose -t = -0*t - k. Suppose -f - 4*f + 17 = -4*u, -t*f - 2*u + 24 = 0. Solve 4 - 9 = -f*m for m. 1 Let r(u) be the second derivative of u**5/20 - 7*u**4/12 + u**3/3 - 7*u**2/2 + 3*u. Let y be r(7). Solve h + y = 2 for h. -5 Let k be (-4)/((4/(-12))/(2/3)). Solve 2*b = -2*b - k for b. -2 Let a(s) = -s + 3. Let d be a(1). Solve 0 = 4*u + 14 - d for u. -3 Suppose 2*b + 2*b - 8 = 0. Let h = 22 + -14. Solve b*v + h = 4*v for v. 4 Let z = -45 + 47. Solve -z*x - x - 15 = 0 for x. -5 Suppose -2*z = 4*z - 12. Solve 0*o + z*o = 0 for o. 0 Suppose h = -h + 50. Suppose 0 - h = -5*a. Solve a*d + 7 = 2 for d. -1 Let a be (-1)/(-2) + (-19)/2. Let c = 0 - a. Solve 4*s + c = -11 for s. -5 Let d be 3/(-1 + 3/(-6))*-1. Solve 8 = d*l + 4 for l. 2 Let y be (-2)/4*0 - 0. Let o = 2 + y. Suppose 4*x + 5*u - 11 = 0, -o*x + x - 4*u = 0. Solve 0*s + s = x for s. 4 Let y(g) = -g**2 + 12*g - 9. Let p be y(11). Solve -p*b - 3 = b for b. -1 Let a = 31 + 17. Suppose -a = -3*v - 0*v. Solve j - 5*j = -v for j. 4 Let k be 9 + (-4 - -1) + -1. Solve 2 + 3 = -k*p for p. -1 Suppose 0 = w + 4*w - 40. Let d = 3 + w. Suppose -19 = -3*s + d. Solve -y - s = y for y. -5 Suppose -4*o + 5*o - 4 = -3*z, -z = o. Suppose z*a = 2*x + 18, -5*x - 15 = a - 0*a. Solve -3*j + a - 2 = 0 for j. 1 Let v(f) = f + 9. Let j be v(-4). Solve 3*x = -2 + j for x. 1 Suppose 4*h + 4*k = -4, -5*h + 6 = -k - 7. Suppose -5*z + 45 = 4*i, -h*i + z + 2 = -3. Solve -i - 3 = 4*c for c. -2 Let n(k) = -k**3 - 15*k**2 + 14*k - 34. Let w be n(-16). Let y(t) be the first derivative of -t**2 - 2*t + 1. Let u be y(w). Solve u*d + 16 = -2*d for d. -4 Let i(r) = -r**3 - 4*r**2 + 5*r - 1. Let t be i(-5). Let n = t + 1. Solve n = -2*f + 4*f for f. 0 Let d = 6 + 6. Let v(m) = -m**3 + 13*m**2 - 11*m - 9. Let u be v(d). Solve -u*r = r for r. 0 Let b(j) = j**2 + 3*j - 2. Let i be b(-4). Solve -6 = -i*n - 2 for n. 2 Suppose 0 = -4*t + t + 6. Let r(l) = -l - 7. Let y be r(-8). Solve -t*d = -3 + y for d. 1 Suppose -2*r - 16 = -6*r. Suppose -2*i + 5*y = i - 6, -2*i = y - r. Solve -4*s + i = -3*s for s. 2 Suppose 0 = -7*m + 4*m. Solve m = -4*n + 9 - 1 for n. 2 Let z = 14 - 13. Solve 2*m = -7 + z for m. -3 Let p = -4 - -9. Solve 4 = -z + p for z. 1 Let w(u) = 8*u - 3. Let v be w(1). Solve 5*g = v + 5 for g. 2 Let l(w) = 2*w - 22. Let d(k) = -1. Let s(p) = -12*p. Let y be s(1). Let c(h) = y*d(h) + l(h). Let b be c(7). Solve 3*j = b - 10 for j. -2 Let y = -2 - -4. Let q(t) = t**3 + 5*t**2 + 2*t - 5. Let w be q(-4). Suppose y*u - u = w. Solve 0 = -u*h - 0*h + 3 for h. 1 Let d(f) = 7*f - 6. Let x(k) = 11*k - 9. Let j(w) = -8*d(w) + 5*x(w). Let n be j(0). Suppose -2*a = n*a. Solve a = -q - q + 8 for q. 4 Let g be 2*(21/(-2))/(-7). Suppose -g*x + 58 = 5*v - 5*x, 3*v = 4*x + 32. Solve 2*f + f = -v for f. -4 Let x(s) be the first derivative of -5*s**2/2 - 4*s - 3. Let l be x(-4). Solve 3*u = 1 - l for u. -5 Suppose 6*u - 2*u - 2*u = 0. Solve -4 + u = -f for f. 4 Let l = -3 - -5. Solve r = 2*r - l for r. 2 Suppose 0 = 4*s + 9 + 11, m - 7 = s. Solve m*y = y for y. 0 Let z = -2 - -5. Let m be 3*1/z - 0. Solve -2*a = -3*a + m for a. 1 Let k = 12 + -7. Solve -k*j + 2*j = -12 for j. 4 Suppose -4*y = -9*y + 15. Suppose 2*p - 5 + 1 = 0. Suppose -p*b = -3*s + 6*s - 39, -2*b - 49 = -5*s. Solve 4 + s = -y*j for j. -5 Let q(r) = r**2 + 6*r + 5. Let l be q(-5). Suppose 5*s = -l + 10. Solve 3*v + s = -4 for v. -2 Suppose 0 = z + z - 8. Suppose 0 = -0*i + i - 7. Solve z*r - i = -3 for r. 1 Let q be 2/(-9) - 249/(-27). Let k = 2 - q. Let a(l) = l**3 + 8*l**2 + 6*l - 5. Let j be a(k). Solve s - j = -s for s. 1 Let d(x) = -x**2 - 4*x - 3. Let i be d(-2). Let m be i - (2 - (3 + 3)). Solve -m*h - 24 = -4 for h. -4 Let v = 29 + -27. Suppose -v*w + w = -10. Solve 5*y - 3*y + w = 0 for y. -5 Suppose 4*d - 35 = -d. Let g = 130 - 130. Solve g = -4*x - d - 1 for x. -2 Let b = -8 + 3. Let x be 1/b - (-3)/15. Solve x = i - 2 for i. 2 Suppose 16 = -4*j, k + 52 = 3*k - 3*j. Suppose -5*l = k, f - 3*l - 10 = 15. Solve 5*a - 12 = f for a. 5 Let x be 1 - 4/((-8)/(-6)). Let a be 28/5 + x/(-5). Let z = a + -4. Solve 0*i = z*i for i. 0 Let n(r) = 2*r + 5. Let m be n(-8). Let j(y) = y**3 + 12*y**2 + 11*y + 3. Let t be j(m). Let x(c) = c**2 - 5*c - 8. Let s be x(7). Solve t*u - s = -0*u for u. 2 Let z(v) = v**2 - 4*v. Let y be z(6). Solve -5*k + k = -y for k. 3 Let a be 16/(-8)*(2*1)/(-2). Solve 0 = l + l - a for l. 1 Suppose 0 = -4*a - 0*a. Solve a = -2*w - 1 + 5 for w. 2 Let v be 23/4 + 1/4. Suppose -3*p = v, 5*p - 16 = 3*m + 4*p. Let s = m - -6. Solve -3*y = -3 - s for y. 1 Suppose 0 = -5*h - 0*h + 10. Let i be 2/((-1)/2 + 1). Let q be i/(-10) + 66/15. Solve -h*k + q = -4 for k. 4 Let u(w) be the second derivative of -5/2*w**2 + 0 + 2*w + 4/3*w**3 - 1/12*w**4. Let r be u(7). Solve r = d - 0 for d. 2 Let x(b) = -2*b - 8. Suppose -3*i - 31 = -4*c, -2*c - 37 = 4*i - 3*c. Let d be x(i). Let y = 6 + -3. Solve y*v + d = -2*v for v. -2 Let b(c) = c**3 + 4*c**2 - 7*c - 2. Let x be b(-5). Let a(k) = -2*k - k + 2*k + x. Let n be a(8). Solve 2*p + 8 = -n*p for p. -4 Let g be 4/(-18) + 464/144. Solve -g*m + 3 = -6 for m. 3 Let q = 9 - 5. Suppose 3*h = -h - 3*s + 73, -3*h = q*s - 60. Solve 0 = 3*a + a - h for a. 4 Let c(m) = 2*m**2. Let s be c(1). Let t = 8 - 5. Suppose -2*f + 3 + t = 0. Solve 0 = z - s*z + f for z. 3 Let b be 2/(15/6 - 2). Suppose -3*g = -4*v - 20, b*g + 0*v - 2*v - 40 = 0. Let p be 0*(-2)/(1 - -3). Solve 3*z = -p*z - g for z. -4 Let d(p) be the first derivative of p**3/3 + p**2 - 1. Let k be d(-3). Solve 0*r - r = -k for r. 3 Let a(i) = -i**3 + 5*i**2 - i. Let j be a(4). Suppose 2*c + 7 = -3*w - 1, -j = 3*w. Let n = 6 + -3. Solve n*x = -c*x for x. 0 Suppose k - 2*k = -18. Suppose k*o = 23*o. Solve 0 = -2*r - o*r for r. 0 Suppose -5*z + 0*y + 2*y + 20 = 0, 0 = 3*y. Solve 9 - z = -l for l. -5 Let l = -8 - -11. Suppose 5*m = 5*t + 15, 0 = -m - m + 3*t + l. Solve 5*b + m = -19 for b. -5 Suppose -15 = 5*g - 5*p, -5*g + p = -0*g + 3. Suppose 5*o + g*o = 10. Solve 3 = -o*q + 5 for q. 1 Let g = -18 - -38. Suppose -r - 3*r + g = -5*d, -2*r + 4 = -d. Solve 0 = -r*l + 5*l for l. 0 Suppose -4 = f, 2*i + 4*f = 4*i - 42. Solve 5*u + i = -2 for u. -3 Suppose 3*u - 6*u = 0. Solve m + m - 8 = u for m. 4 Let x(l) = -l**2 + 5*l + 4. Let b(h) = -1. Let s(n) = -4*b(n) + x(n). Let
{ "pile_set_name": "DM Mathematics" }
737 What is the product of -514367 and 0.2? -102873.4 What is 106.15 times -16? -1698.4 17460.8 times -3 -52382.4 Work out 71.51 * 0.7. 50.057 5*0.083903 0.419515 0.55*796 437.8 Calculate 1171651*0.1. 117165.1 Product of -0.03724 and -0.04. 0.0014896 0.67955 * 0.1 0.067955 -3 times 0.12808 -0.38424 Multiply 0.9 and 1012.4. 911.16 Calculate 14144*0.5. 7072 Work out -1 * -9705.2. 9705.2 Work out -0.092 * -319. 29.348 0.17*-52305 -8891.85 -0.125 times 22776 -2847 Work out -10 * 21484. -214840 What is 196 times 4236? 830256 -0.14628*-1.3 0.190164 What is 0.4 times -46798? -18719.2 Product of -1.09 and 0.03828. -0.0417252 7972 times 10 79720 Calculate -63385*23. -1457855 -4702 * 8 -37616 -233*9892 -2304836 33 times -1295 -42735 -0.15*6047 -907.05 Product of -67459 and 0.3. -20237.7 0.0511241 * 5 0.2556205 0.1 times 39.626 3.9626 Calculate -143.5728*1. -143.5728 0.4 times 1753.3 701.32 Calculate 68.4*-0.65. -44.46 Product of 4 and -6804. -27216 Multiply 0.08018 and 1. 0.08018 Work out 28 * -146. -4088 What is the product of -5 and 86.02? -430.1 27433*4.6 126191.8 Product of 5343 and 0.125. 667.875 Calculate -2635.6*-63. 166042.8 Multiply -0.4 and 5278. -2111.2 -0.187208 * -1.2 0.2246496 Work out 425992 * -1. -425992 Calculate -0.5*-162381. 81190.5 3*84159 252477 Work out -0.2 * 42.283. -8.4566 Multiply 40.3 and -0.108. -4.3524 -43493 times -0.2 8698.6 What is -240 times -51? 12240 What is -7.5 times -36.05? 270.375 Calculate 0.2*-19819. -3963.8 What is -14493 times 301? -4362393 What is the product of 8.53482 and 0.5? 4.26741 Product of -83559 and 0.3. -25067.7 Multiply -0.0301 and -53. 1.5953 Multiply 1090008.3 and -0.2. -218001.66 -0.64 * 16.77 -10.7328 What is -3.41 times 143? -487.63 0.2 * -7.36492 -1.472984 Multiply -27.3 and 9.17. -250.341 Work out -0.074427 * 5. -0.372135 What is 209 times -406? -84854 What is -66.5 times 443? -29459.5 What is -929 times -0.0055? 5.1095 What is the product of 0.04176 and -8.43? -0.3520368 -0.7*-5.24 3.668 Calculate 0.4*-0.38313. -0.153252 Work out -94681 * -0.06. 5680.86 Multiply 2 and 2136.8. 4273.6 What is the product of -4 and -136526? 546104 Work out 0.5 * -0.038035. -0.0190175 Calculate -3017*5. -15085 -13 times -865.3 11248.9 Work out -3592 * -155. 556760 Work out 1.04 * -0.674. -0.70096 Calculate -120*-0.37. 44.4 25 * 178.5 4462.5 Calculate -112600*-16. 1801600 14.5*11.078 160.631 313*-159.3 -49860.9 Work out 1075.899 * 4. 4303.596 Work out -11595 * -76. 881220 17.1 times 7.891 134.9361 0.1 * -118.57 -11.857 -1044034*-0.1 104403.4 Product of -5 and 1179825. -5899125 0.056*-0.053 -0.002968 What is 0.02 times -322.82? -6.4564 Calculate -9*-14898. 134082 What is the product of 11.732 and -0.5? -5.866 0.3374 times 2 0.6748 Calculate 1490*0.0457. 68.093 Product of 0.18 and 0.5916. 0.106488 Multiply -0.4122 and -123. 50.7006 765*321 245565 -10003 times 2 -20006 0.2 * -36899.3 -7379.86 -0.036922 * -2 0.073844 What is 5 times 320.863? 1604.315 What is -16.5788 times -0.2? 3.31576 What is 11133 times 0.135? 1502.955 -19877 * -2 39754 -103.096*0.03 -3.09288 Product of -997875 and -0.1. 99787.5 What is the product of 34.52 and 0.09? 3.1068 What is the product of -8788413 and 0.4? -3515365.2 Calculate 36*0.056024. 2.016864 0.6973 * -4 -2.7892 Product of 0.576 and -0.1. -0.0576 Work out 171 * -2.1. -359.1 Calculate -0.2*794.26. -158.852 What is 0 times 14704? 0 0.453 * 220 99.66 -12 times -1085 13020 Calculate -1228*0. 0 Product of -1 and 45315. -45315 -508 times 0.183 -92.964 What is the product of 1792 and 12.1? 21683.2 Multiply 36781.7 and 3. 110345.1 Work out -5 * -4.5777. 22.8885 Work out 5857 * 0.2. 1171.4 Calculate -47*-319. 14993 Calculate 1.13042*-0.1. -0.113042 -30.0055 * 3 -90.0165 Work out 17553.87 * -0.3. -5266.161 -1.699 times 0.001 -0.001699 Work out 55654 * -3. -166962 What is 13 times -61.53? -799.89 0.2 times 2165.8 433.16 What is -0.02867 times 88? -2.52296 Calculate 0.0273*3.05. 0.083265 What is the product of 166.4 and -70? -11648 0 * -5762 0 -62.181 times 0.1 -6.2181 Work out -16657 * 0.5. -8328.5 Product of -63.23 and -0.08. 5.0584 What is the product of 143067 and -2? -286134 -1891 * -0.239 451.949 Calculate 0.1*0.0315513. 0.00315513 Multiply -2926 and -45. 131670 Multiply 111 and 256. 28416 5*-0.9387 -4.6935 -389.12*-1.6 622.592 137.3*18 2471.4 Multiply -3.8 and -8732. 33181.6 What is -1.9344 times 0.4? -0.77376 Calculate 6.3*2512. 15825.6 What is the product of -533.3 and 0.08? -42.664 What is 995 times -31? -30845 -129*-15.8 2038.2 3696618 * 1 3696618 What is 0.1417 times -0.055? -0.0077935 5*5630 28150 Multiply 59.613 and -0.2. -11.9226 0.3 times 5.71365 1.714095 Calculate -2*-22819. 45638 Work out -250834 * -5. 1254170 What is the product of -2 and 1174.3? -2348.6 0.3*637172 191151.6 Product of 248 and 37.82. 9379.36 Work out -6.753 * 0.2. -1.3506 Work out 0.3 * -247.426. -74.2278 -149.694 times -0.13 19.46022 0.4141 * -141 -58.3881 -12 * 4656 -55872 -4*0.0341 -0.1364 -1688*-0.04 67.52 What is the product of 8.4 and 1491? 12524.4 Calculate -689*20.8. -14331.2 What is the product of 6865459 and 5? 34327295 Multiply -22 and -274557. 6040254 -0.181134 times -0.3 0.0543402 What is the product of 8 and -1443.59? -11548.72 What is -68112 times -0.04? 2724.48 Work out -1.263 * 2.14. -2.70282 What is -41749.7 times 0.5? -20874.85 Calculate 1.25*31.9. 39.875 0.4*-18.467 -7.3868 What is 1 times -8989? -8989 Calculate -58.5471*5. -292.7355 -1.2 times -29942 35930.4 0.1423502*0.1 0.01423502 What is the product of -6.2857 and -0.3? 1.88571 222 * 2371 526362 Multiply 735372 and 0.5. 367686 Work out -1.4324 * -246. 352.3704 14 times 1954 27356 5 * 1971 9855 What is 2718 times -4.2? -11415.6 -3.251*14 -45.514 -1737 * 168 -291816 -0.642935 times -1 0.642935 What is 0.01 times -1206364? -12063.64 -475.7 times 1.9 -903.83 Calculate -24422*-0.4. 9768.8 44978.5 times 0 0 3 times 2126.9 6380.7 Multiply -7119 and -6. 42714 Multiply -0.1 and 0.9123. -0.09123 -55*221.67 -12191.85 1 times -75.198 -75.198 What is -0.2 times 0.556337? -0.1112674 What is 21.87 times 266? 5817.42 Calculate -1.3*-1090. 1417 Product of 7.3 and 2.537. 18.5201 What is the product of 1632 and -199.1? -324931.2 -5954*-12.7 75615.8 -0.433 times 0.23 -0.09959 What is -34554 times -0.2? 6910.8 What is 61.86 times -2.9? -179.394 3241 * 57 184737 26 * 0.16249 4.22474 Product of -286756 and -0.3. 86026.8 Multiply 11604 and -2.6. -30170.4 9925 * 0.4 3970 1.9766*-0.08 -0.158128 Product of 188.03 and 86. 16170.58 What is the product of -0.335 and 101.6? -34.036 Calculate 3*-91273. -273819 Calculate 0.2377*-175. -41.5975 Product of 0.194 and 20.9. 4.0546 What is -113 times 2338? -264194 0.01 * 72.045 0.72045 -47 * 5260 -247220 What is -240.41 times -0.003? 0.72123 Calculate 13.69*-6. -82.14 What is 0.57 times 5874? 3348.18 Multiply 0.018 and -2.67. -0.04806 -1*-24.58 24.58 What is -305.5193 times 0.4? -122.20772 Multiply -3.0567 and -1.33. 4.065411 What is the product of 7021 and -2.1? -14744.1 Product of -3 and 2.918. -8.754 What is -0.1 times -311136? 31113.6 Work out 0.983 * 23. 22.609 Product of 3 and -2925. -8775 -6.6*1.32 -8.712 Multiply -5 and -10766. 53830 3.017 * 5 15.085 Calculate 0.22*-4166. -916.52 5*492537 2462685 Multiply -0.4 and 53105. -21242 -0.2*17.29 -3.458 What is the product of -0.3 and -20861? 6258.3 3933145 * 4 15732580 22.952*39 895.128 -32496*0.3 -9748.8 What is 948.3 times 23? 21810.9 Work out -64 * 2795. -178880 What is 0 times -0.0914912? 0 What is the product of -1386.8 and -6.5? 9014.2 39 times 3748 146172 Work out 2895 * -0.0588. -170.226 Multiply 0.005 and 486.6. 2.433 What is 9812 times -218? -2139016 Product of 2.2 and 29.53. 64.966 1.289376 * 0.1 0.1289376 Work out -0.49 * 4.8. -2.352 0.13*-27832 -3618.16 What is the product of -0.04518 and -5? 0.2259 Multiply 5 and -9728. -48640 What is the product of -0.3 and 37.7938? -11.33814 Product of -0.1 and -0.42116. 0.042116 Multiply -0.04 and 2827.16. -113.0864 -3729 * -52 193908 What is the product of 2653 and 435? 1154055 What is the product of 7 and 201271? 1408897 Product of -7.6 and 18.14. -137.864 Multiply -0.098 and 6.427. -0.629846 Multiply -4162 and 0.14. -582.68 What is the product of 5.42 and -0.011? -0.05962 0.1 times -0.35744 -0.035744 Calculate -0.1*-
{ "pile_set_name": "DM Mathematics" }
- 17271*g - 17264*g + 86360*g - 17276*g. 12*g Collect the terms in 3616*u**3 - 1672*u**3 - 3910*u**3. -1966*u**3 Collect the terms in -515*v + 1033*v - 653*v. -135*v Collect the terms in 69*r - 171*r - 159*r + 596*r - 168*r - 159*r. 8*r Collect the terms in -35010*q**2 + 19439*q**2 - 2*q + 15596*q**2. 25*q**2 - 2*q Collect the terms in 11 - 3 + 26168*x**2 - 4 - 4. 26168*x**2 Collect the terms in -653 - 44*y + 5*y + 13*y + 23*y + 653. -3*y Collect the terms in 3*x**3 - 675154531*x**2 + 337577298*x**2 + 337577233*x**2. 3*x**3 Collect the terms in -67*t - 23*t - 40*t + 141*t - 75*t. -64*t Collect the terms in -7460877*h + 3730441*h + 3730437*h. h Collect the terms in 0 - 32930*p + 16418*p + 16522*p + 0. 10*p Collect the terms in 2216384863*x**3 + 2216384864*x**3 - 4432769748*x**3. -21*x**3 Collect the terms in 121765718*k - 121765718*k + 6*k**3. 6*k**3 Collect the terms in 390*z**3 - 76*z**3 + 90*z**3 - 128*z**3 + 319*z**3. 595*z**3 Collect the terms in 22417*m**2 + 31632*m**2 + 22001*m**2 - 12190*m**2. 63860*m**2 Collect the terms in -8*l + 35*l**2 - 98 + 58 + 95*l**2 + 42. 130*l**2 - 8*l + 2 Collect the terms in 99*m**3 + 269*m**3 + 93*m**3 - 392*m**3 - 74*m**3. -5*m**3 Collect the terms in -32401 - 21*z + 40*z + 32403 + 65*z. 84*z + 2 Collect the terms in 8931*f + 941*f - 125*f + 4431*f + 5826*f. 20004*f Collect the terms in -110917*n - 92207*n - 148899*n. -352023*n Collect the terms in -6355725*f**3 + 3177900*f**3 + 3177839*f**3. 14*f**3 Collect the terms in 2190*i - 4006*i + 9873*i + 5718*i + 2343*i. 16118*i Collect the terms in -139*d**3 + 19*d**2 - 21*d + 145*d**3 - 2*d**2. 6*d**3 + 17*d**2 - 21*d Collect the terms in -24 + 7285369*t + 58 - 34. 7285369*t Collect the terms in 3*t - 3*t - 945387 - 2*t + t. -t - 945387 Collect the terms in -2062807*d + 332647*d - 2036189*d + 732499*d. -3033850*d Collect the terms in 26215*b + 26362*b - 52937*b. -360*b Collect the terms in -18269803*b - b**3 + 36539605*b - 2*b**3 + 4*b**3 - 18269802*b. b**3 Collect the terms in 83*i**2 - 6*i + 4*i - i - 85*i**2 - 2 + 0*i. -2*i**2 - 3*i - 2 Collect the terms in -17*t + 109 - 25*t**2 + 28*t**2 + 24*t - 7*t. 3*t**2 + 109 Collect the terms in 195 - 6*z**2 - 18*z**2 - 96 - 97. -24*z**2 + 2 Collect the terms in 0*z + 1605*z**2 + 6023*z**2 + 0*z + 1822*z**2. 9450*z**2 Collect the terms in 212*c**2 - 530*c**3 + 130*c**3 + 136*c**3 + 539*c**2 + 133*c**3 + 128*c**3. -3*c**3 + 751*c**2 Collect the terms in 4319192*q**2 - 3111277*q**2 + 5106368*q**2. 6314283*q**2 Collect the terms in -17*y**2 - 12*y**2 + 1190*y + 26*y**2 + 214*y. -3*y**2 + 1404*y Collect the terms in 2043*i - 4079*i + 2036*i - 6732*i**3. -6732*i**3 Collect the terms in -48027*a + 126681*a + 346349*a. 425003*a Collect the terms in -2945*p + 8583*p - 5587*p. 51*p Collect the terms in 11136*n**3 - 11*n - 3 - 29067*n**2 + 11*n + 29067*n**2. 11136*n**3 - 3 Collect the terms in -751*s**3 - 21*s**2 + 1531*s**3 - 667*s**3. 113*s**3 - 21*s**2 Collect the terms in 53091*n - 26551*n + n**3 - 40*n**3 - 26540*n. -39*n**3 Collect the terms in 8*p - 8345 - p - 19*p + 19*p + 3*p. 10*p - 8345 Collect the terms in 58*u**2 - 25*u**2 + 23*u**2 + 1289*u. 56*u**2 + 1289*u Collect the terms in -52*x + 11*x + 678 + x - 338 - 340. -40*x Collect the terms in -170*y**2 - 254*y**2 + 17*y**2 - 6626487612 + 6626487612. -407*y**2 Collect the terms in -1135626*h**3 + 572382*h**3 + 563239*h**3. -5*h**3 Collect the terms in 1946 - 5880 - q + 1991 + 1943 + 3*q. 2*q Collect the terms in 149 - 281 + 132 - 14407*z**2. -14407*z**2 Collect the terms in 168*o + 403*o - 1034*o + 334*o + 365*o. 236*o Collect the terms in 765573*x**2 - 1530963*x**2 + 765384*x**2. -6*x**2 Collect the terms in -255 + 26 + 59 + 65 + 66 + 55 + h. h + 16 Collect the terms in 50*c**2 + 33*c**2 - 227*c**2 + 36*c**2 + 128*c**2. 20*c**2 Collect the terms in -1210142*m - 1210117*m - 1210093*m - 1 + 3630419*m. 67*m - 1 Collect the terms in 26*k - 30 + 26 - 3*k - 2*k + 14*k. 35*k - 4 Collect the terms in -229*s**3 + 17886*s**3 - 10356*s**3 + 20416*s**3. 27717*s**3 Collect the terms in 161*x**2 + 465926067*x - 465926067*x - 669*x**2. -508*x**2 Collect the terms in -29152 - 40160 - w - 6*w**2 - 20982 - 186046. -6*w**2 - w - 276340 Collect the terms in 9715 - 5*c**2 + 113*c**2 - 19407 + 9692. 108*c**2 Collect the terms in 130678822696*s - s**2 + s**2 - 130678822696*s + 2*s**2. 2*s**2 Collect the terms in -5762968 + 11*f + 5762968. 11*f Collect the terms in 15*p + 152*p - 75*p - 101*p. -9*p Collect the terms in -35018*z**2 + 4*z - 38817*z**2 + 6*z + z. -73835*z**2 + 11*z Collect the terms in -9266*f**2 - 586981*f**3 + 9266*f**2 + 122200*f**3. -464781*f**3 Collect the terms in -1454*b**2 + 42834 - 2*b + 1447*b**2 - 42834. -7*b**2 - 2*b Collect the terms in -887*w**2 + 17 - 3*w - w - 28 + 9. -887*w**2 - 4*w - 2 Collect the terms in -5941*f - 5993*f - 5977*f + 17736*f. -175*f Collect the terms in 57*d**3 + 61*d**3 - 366*d**2 - 221*d**3 - 156*d**3 + 365*d**2 - 131*d**3. -390*d**3 - d**2 Collect the terms in -6712*s**2 + 4014*s**2 + 2698*s**2 + 439*s**3. 439*s**3 Collect the terms in -320144*b + 13 + 78*b**3 - 13 + 320144*b. 78*b**3 Collect the terms in -1011*w - 894*w - 1086*w + 635*w - 771*w + 49*w. -3078*w Collect the terms in -438*v + 29 - 26*v + 462*v. -2*v + 29 Collect the terms in 4 - 1 - 5 + 3656*a - 277*a**2. -277*a**2 + 3656*a - 2 Collect the terms in 34818*y**2 + 34548*y**2 - 69368*y**2. -2*y**2 Collect the terms in -104*p**2 + 325*p**2 + 1 - 76*p**3 + 66*p**3 - 111*p**2 - 110*p**2. -10*p**3 + 1 Collect the terms in 7009*l**2 - 13872*l**2 + 6776*l**2. -87*l**2 Collect the terms in 5520*u - 11522*u + 5 - 1 + 5744*u - 4. -258*u Collect the terms in -195615*j**2 + 97810*j**2 + 1 + 97813*j**2 - 1. 8*j**2 Collect the terms in 3178 - 40*n + 16*n - 3180. -24*n - 2 Collect the terms in -3469*z + 10445*z - 3493*z - 3491*z. -8*z Collect the terms in -2369 + 10*f + 9538 - 2407 - 2378 - 2383. 10*f + 1 Collect the terms in 99914*a - 98*a**3 - 1 - 99914*a + 1. -98*a**3 Collect the terms in -4986316 + 4986316 - 27493*x**3. -27493*x**3 Collect the terms in -17757627*o**3 - 9*o**2 + 9*o**2 + 0*o**2. -17757627*o**3 Collect the terms in 2*s**2 + 392*s**3 - 5*s**2 + 87*s**3 - 89*s**3 + 3*s**2 - 393*s**3. -3*s**3 Collect the terms in -65746*l - 65748*l + 131481*l. -13*l Collect the terms in -2567320*c**2 + c**3 + 855778*c**2 + 855774*c**2 + 855768*c**2 + 9*c**3. 10*c**3 Collect the terms in -1995*g + 0*g**2 - 9*g**2 + 3909*g - 1914*g - 12*g**2. -21*g**2 Collect the terms in 85 + 2*b**2 - 146 + 75 + 68. 2*b**2 + 82 Collect the terms in 5*a**2 + 2600 + 862 - 7*a**2 + 1087. -2*a**2 + 4549 Collect the terms in -12045*w**3 + 3 - 11*w**2 + 0*w**2 - 5. -12045*w**3 - 11*w**2 - 2 Collect the terms in 2832 + 2838 - 11325 + 5*w**2 + 2843 + 2812. 5*w**2 Collect the terms in -1 - 644992830*g - 644992823*g + 2*g**2 + 1289985653*g. 2*g**2 - 1 Collect the terms in 504 + 438 + 510 + 9290*n + 508 - 1959. 9290*n + 1 Collect the terms in -2 + 2 + 326362*o**3 - 326373*o**3. -11*o**3 Collect the terms in 87026638 - 87026638 - 290*n**3. -290*n**3 Collect the terms in -2881*s - 9 + 21 - 12 - 2879*s + 5758*s. -2*s Collect the terms in 38*s**3 - 8962*s**2 + 59*s**3 - 139*s**3 + 40*s**3. -2*s**3 - 8962*s**2 Collect the terms in 4388*r**3 + 7*r - 2*r - r + 10*r - 14*r - 4373*r**3. 15*r**3 Collect the terms in -11 - 4270*u + 8624*u - 4272*u. 82*u - 11 Collect the terms in -153499 - 2*y - 2*y + y**2 + y + y**3 + y**3. 2*y**3 + y**2 - 3*y - 153499 Collect the terms in -24*s + 1460799*s**3 - 1459667*s**3 + 0 + 0 + 26*s. 1132*s**3 + 2*s Collect the terms in 5460*v + 38 + 33 + 7416*v + 41 - 111. 12876*v + 1 Collect the terms in 7 + 16*g**2 - 7 + 275444*g**3 - 275358*g**3. 86*g**3 + 16*g**2 Collect the terms in -l + l + 108*l**3 - 75850493*l**2 + 37925247*l**2 - 110*l**3 + 37925246*l**2. -2*l**3 Collect the terms in -9*i**3 - 22964*i**2 + 11*i**3 - 22960*i**2 - 7*i**3 - 22960*i**2 + 68884*i**2. -5*i**3 Collect the terms in -17*m + 165*m**2 - 178*m**2 + 2299 - 2302. -13*m**2 - 17*m - 3 Collect the terms in -2*a**2 + 2808523 - 5617077 + 2808554. -2*a**2 Collect the terms in 2*h**2 + 7 - 1326*h - 4 - 3800*h. 2*h**2 - 5126*h + 3 Collect the terms in 64 + 176 + 17 + 161 - 5*u - 64. -5*u + 354 Collect the terms in -560578*m + 203
{ "pile_set_name": "DM Mathematics" }
Suppose -41*c + 38 = -40*c. Calculate the remainder when c is divided by d. 12 Let c = -8088 + 10580. Calculate the remainder when c is divided by 353. 21 What is the remainder when 2*((-90060)/24)/(-5) is divided by 31? 13 Let x be (20/(-15))/((4/(-2))/6). Suppose 4*w - 344 = -x*w. What is the remainder when w is divided by ((-8)/2 - -3)/((-3)/33)? 10 Suppose k + 32*j - 136 = 33*j, 0 = 3*k + 3*j - 402. What is the remainder when 3102 is divided by k? 132 Let h = 107 - 105. Suppose -25 + 29 = -h*k. Let v = k + 10. What is the remainder when 23 is divided by v? 7 Let p = 77 + -16. What is the remainder when p is divided by (-7 - -6)/(2/24 - (-5)/(-15))? 1 What is the remainder when 699 is divided by (-16 - 224/(-16)) + 11? 6 Let c(j) = -13*j - 46. Let g be c(5). Let s = g - -122. What is the remainder when 107 is divided by s? 8 Let o(v) = -v**2 + 128*v - 2267. Calculate the remainder when 179 is divided by o(23). 31 Let n(k) = 6*k + 57. Let g be n(-9). Suppose 0 = -3*v + y + 4*y + 26, 0 = -g*y - 12. Suppose -v*r - r = -48. What is the remainder when 61 is divided by r? 13 Calculate the remainder when (1422/(-108) - 4/(-6))*(-528)/30 is divided by 173. 47 Let m be 2 + 11 - (-9 - -6). Let x(c) = c**2 + 10*c + 37. Let f be x(-5). Let r = f + m. Calculate the remainder when r is divided by 10. 8 Let y = 75 + -70. Suppose y*c - 54 + 19 = -5*x, c = 5*x - 47. Suppose -x*a + 473 = -256. What is the remainder when a is divided by 28? 25 Let c(h) = h**2 + 9*h - 22. Let j be c(8). Suppose -4*t + j = -2*o, 0 = 2*o - 6*o + t - 256. Let d = -38 - o. Calculate the remainder when 107 is divided by d. 26 Let k be ((-3)/(-4))/(1/32). Let j = -21 + k. Suppose -12 = -4*d, 4*m - j*d = m + 66. What is the remainder when m is divided by 9? 7 Let u be (-80)/(-6) + (-14)/6 + 3. Suppose 6 = -u*d + 17*d. Suppose 5*m - d*g = 74, 3*m + 5*g - 43 = -11. Calculate the remainder when 64 is divided by m. 8 Suppose -49*p = 33*p - 44527 + 9923. What is the remainder when p is divided by 18? 8 Suppose -19087 = -58*v - 64849. Let a = v + 859. What is the remainder when 152 is divided by a? 12 Let b(l) = 4*l**3 + 4*l**2 + 3*l + 8. Let k be b(4). Let h be (2 - 16/10)/(1/k). Suppose -3*r + 65 = -h. What is the remainder when r is divided by 17? 16 Let v be (3/1)/(198/30 + -6). Suppose 2 = y - 4*p - v, 5*y - 83 = -4*p. What is the remainder when y is divided by 9? 6 Let m = 2707 - 2579. Calculate the remainder when 249 is divided by m. 121 Suppose -y - 122 = 5*x - 33, 2*y + 192 = 4*x. Suppose 0 = 5*h - 18 - 2. What is the remainder when 93 is divided by y/(-3) - h/(-6)? 29 Suppose -23*o = -8*o - 47205. What is the remainder when o is divided by 50? 47 Suppose 4*f - 30*i = -35*i + 2788, 5*f = -4*i + 3476. Calculate the remainder when f is divided by 100. 92 Let i(g) = 7*g**2 - g + 2. Suppose -163 = -7*z + 124. Let t = -39 + z. What is the remainder when 81 is divided by i(t)? 25 Let a(p) = 3*p**2 - 5*p - 29. Let h(b) = 5*b**2 - 11*b - 57. Let x(v) = 7*a(v) - 4*h(v). What is the remainder when 53 is divided by x(-7)? 9 Suppose 28 = -5*i - 7. Calculate the remainder when i/(7 - 0)*-7 is divided by 4. 3 Suppose 5*h - 4*t = 394, -468*h + 232 = -465*h + 2*t. What is the remainder when 12244 is divided by h? 76 Let b = 724 + -330. Suppose -127*q + 125*q - 4*s = -36, -q = -3*s - 3. Calculate the remainder when b is divided by q. 10 Let h(v) = 2*v**3 + 64*v**2 + 88*v - 88. What is the remainder when h(-29) is divided by 31? 19 Suppose 99 = 3*s + 12. Suppose 16*u - 2*u = 70. What is the remainder when (-3 - u/(-10))/(3/(-138)) is divided by s? 28 Let r(u) = u**3 + 4*u**2 - 2*u + 1. Suppose -88 = -3*o + 7*a, 5*o + 1090*a - 210 = 1089*a. What is the remainder when o is divided by r(-4)? 5 Let y(m) = 7*m**2 - 4*m + 2. What is the remainder when (-4)/3*21450/(-440) is divided by y(2)? 21 Suppose 0 = g - 14*s + 11*s - 216, -5*g + 1120 = -5*s. What is the remainder when g is divided by 46? 44 Let i = 6 + -1. What is the remainder when 5 is divided by (1*6)/1 - (i + -4)? 0 Let y be (1/1 + -2)/(7/(-28)). Suppose -5*u + u = -3*n - 148, 0 = y*u - 5*n - 140. Calculate the remainder when u is divided by 22. 18 Let i(a) = -a**3 + 12*a**2 + 26*a + 83. What is the remainder when i(13) is divided by 120? 12 Let n(c) be the third derivative of c**6/120 + 13*c**5/60 - 11*c**4/8 + 4*c**3/3 - 4*c**2 - 4*c. What is the remainder when 154 is divided by n(-15)? 48 Suppose -10*c + 49*c = -156. Calculate the remainder when 158/(1*(-4)/c + 1) is divided by 9. 7 Suppose 3*r = 5*o + 7 + 96, 4*r = 3*o + 119. Suppose 0 = -r*u + 4931 + 2583. Calculate the remainder when u is divided by 58. 57 Suppose -5*g - 342 = -3*n, 2 = 5*g - 13. Let w(m) = m + 47. Suppose 3*l + 4*b = -25, -2*l + 5*b = 7*b + 16. What is the remainder when n is divided by w(l)? 39 Suppose 14*d - d = 11466. Suppose 0 = 2*z - 4*i - 448, 4*z + 0*i - i = d. Calculate the remainder when z is divided by 13. 12 Let x be (-2170)/(-75)*39 + 6/10. Let n = x - 795. Calculate the remainder when n is divided by 67. 66 Suppose -80*w + 20 = -76*w, 4*r - 359 = -3*w. What is the remainder when 163 is divided by r? 77 Suppose -5*s - c + 727 = 0, 3*c - 268 + 103 = -s. What is the remainder when 205 is divided by s? 61 Suppose -993 = -30*k + 2923 - 616. What is the remainder when 659 is divided by k? 109 Let z(y) = y**2 - 10*y + 18. Let v(b) = b**2 + b - 1. Let j(h) = 2*v(h) + z(h). Calculate the remainder when 148 is divided by j(3). 15 Let k = 1293 + -527. What is the remainder when k is divided by 96? 94 Let p(x) be the first derivative of x**3/3 + 13*x**2/2 - 13*x - 2. Let i = -2408 - -2393. What is the remainder when p(i) is divided by 5? 2 Calculate the remainder when (-3 - 177/(-9))/((-180)/(-43470)) is divided by 33. 32 Let v = -24 - -65. Suppose 1177*w - 1161*w - 2608 = 0. Calculate the remainder when w is divided by v. 40 Calculate the remainder when 1271 is divided by ((-6)/(-10) + 0)/((-12 + 10)/(-50)). 11 Let t = -1235 + 1270. What is the remainder when 489 is divided by t? 34 Let d(x) = -2*x**2 - 13*x - 14. Let p be d(-4). Suppose -v = -p*v + 2385. What is the remainder when v is divided by 80? 77 Suppose 273*l - 2220 = -y + 268*l, 2*y = 5*l + 4470. Calculate the remainder when y is divided by 7. 4 Suppose 3*p + 315 = -2*h, -9*p + 7*p - 6 = 0. Let o = 237 + h. Calculate the remainder when o is divided by 44. 40 Suppose 4*v - w = -24, 5*w - 23 - 22 = 5*v. Let j(l) = -l**3 - 12 - 4 + 4*l + 3*l**2 - 3*l**2 - 3*l**2. Calculate the remainder when 65 is divided by j(v). 9 Let k be (6/39 - (-1476)/39)/1. Let y = k + -16. Suppose -y*r + 20*r = -70. Calculate the remainder when 68 is divided by r. 33 Suppose 0 = 5*o - 103 - 47. Let c(h) = h + 11. Let f be c(-13). Calculate the remainder when o is divided by (-31)/f - 6/(-12). 14 Let r be (-3)/((-7 - -8)*-1). Suppose -5*g + 8 = -r*g, -g = -5*p + 56. What is the remainder when 59 is divided by p? 11 Let x = 3062 + -3041. What is the remainder when 2854 is divided by x? 19 Let v(k) = 223*k - 4601. Calculate the remainder when 186 is divided by v(21). 22 Let f be (-4 - -2) + 28/7. Calculate the remainder when (-158)/(-12) - 10/60 is divided by (7/(-14))/(f/(-20)). 3 Let b = -18 + 31. Suppose -103 + 25 = -b*w. Calculate the remainder when 11 is divided by w. 5 Let x be (-4 + 6)/(0 - 4/(-6)). Suppose -4*v + 407 = 5*h + 8, 5*v - 545 = x*h. Let b = 115 - v. What is the remainder when 87 is divided by b? 6 Suppose 3*u + q - 266 = 0, 0 = -u - 0*u - 5*q + 84. What is the remainder when 385 is divided by u? 29 Let s be (2/(-2) - -2)*5. Suppose 0 = 4*x - 20, -x + s = t - 3. Suppose 68 = -t*p + 269. What is the remainder when p is divided by 14? 11 Suppose -20*h - 252 + 1192 = 0. What is the remainder when 140 is divided by h? 46 Suppose -756*a = -750*a - 1476. Suppose -5*f = -5, -p + 2 = 2*f - 13. Calculate the remainder when a is divided by p. 12 Let p = 244 - 227. Let s(w) = w**3 - 15*w**2 - 24*w - 18. What is the remainder when s(p) is divided by 22? 20 Suppose o + 54 = 2*w - 193, 0 = -5*w + 4*o + 613. Calculate the remainder when w is divided by 115. 10 Suppose -28 = -3*g + 14. Let f = 7731 + -7719. Suppose f*x + 192 = g*x. What is the remainder when x is divided by 25? 21 Suppose -5*c + 56 = -c. Let y(a) = 38*a**2 + 13 + 18
{ "pile_set_name": "DM Mathematics" }
he third smallest value? (a) -2 (b) -1 (c) -270/13 (d) 3 (e) -0.6 b What is the smallest value in 3/8060, -4, -8/47? -4 What is the fifth biggest value in 5, 121, -1, -223, 1/5? -223 Which is the biggest value? (a) 2/35319 (b) 10 (c) -3 (d) -0.3 b Which is the second smallest value? (a) 2 (b) 89 (c) 0.4 (d) 2/21 (e) -20 d Which is the third biggest value? (a) 0.2 (b) 40 (c) 238 a What is the second smallest value in -3, 0, -2, 4/9, 0.2? -2 Which is the third biggest value? (a) 1/38 (b) 2/89 (c) -3 c What is the sixth biggest value in 0.5, 1, -7, -4, 25, -6/17? -7 What is the second smallest value in 5, 1/4, 20/23, -7/3? 1/4 What is the fourth smallest value in -4, -22, 1/76, 0? 1/76 What is the biggest value in -1, 1/3, 5.3, -57, -2/19? 5.3 Which is the second smallest value? (a) 3 (b) 31/5 (c) -4 (d) -0.2 d What is the second smallest value in -2055/7, 1.7, 0.5, -1, 3? -1 What is the second smallest value in -4, -3, 1/37, 20, 24? -3 Which is the fourth biggest value? (a) -2/9 (b) -34 (c) -2/23 (d) 2 (e) -0.2 (f) -0.06 e Which is the sixth biggest value? (a) -8/5 (b) -1026 (c) 0.2 (d) -1 (e) 0.1 (f) 0.4 b Which is the third biggest value? (a) 0.801 (b) -1/7 (c) -1/81 b Which is the third smallest value? (a) 2 (b) -4 (c) 4/29 (d) -2/3 (e) -26 d What is the third biggest value in 3, 0.4, -0.7, 1, -0.1961? 0.4 Which is the fourth biggest value? (a) 39 (b) 131 (c) 1/4 (d) 1 c Which is the second smallest value? (a) -1 (b) -0.9 (c) -5/6 (d) 2 (e) -0.1 (f) 0.4 b Which is the fourth biggest value? (a) -3031.8 (b) -3/5 (c) -2/7 (d) 2 a Which is the biggest value? (a) 634 (b) -3/7 (c) -14 a What is the smallest value in -3/4, -13/46, 4/7, 0.2, 1, 2/143? -3/4 What is the third biggest value in -2/5, -29, -2, -1, -0.07, 5? -2/5 Which is the third biggest value? (a) -0.1 (b) -3967/2 (c) 4 (d) -3 d Which is the second smallest value? (a) 0.8 (b) 32 (c) 0.2 a Which is the third smallest value? (a) -0.1 (b) 0.01 (c) 840/1109 c Which is the second biggest value? (a) 4 (b) 0.91 (c) -0.06 (d) -0.05 b What is the second smallest value in -3/7, 0, -13919? -3/7 Which is the biggest value? (a) 2 (b) 22 (c) -4 (d) -1/32 b What is the biggest value in 0.3, -1/2, 3/22, 28.4? 28.4 Which is the second biggest value? (a) -95 (b) -2 (c) 75 b Which is the fourth biggest value? (a) -27 (b) 2/7 (c) -4 (d) 31 (e) 4/3 c What is the third biggest value in 3, -1/2, -0.1, 5/11, -13? -0.1 What is the third biggest value in 1/11, 0.6, -0.1, -670, 0.5? 1/11 Which is the fourth biggest value? (a) 1 (b) -5 (c) 939 (d) 36 b Which is the fourth biggest value? (a) 4 (b) -79 (c) 1/4 (d) 11 b What is the third biggest value in 9, -4/133, -9, -1/10, -2? -1/10 What is the third smallest value in -1, 2531, 0.2, -205? 0.2 What is the third smallest value in -63688, -10/9, 0? 0 What is the biggest value in 36, -1, -17, -0.2? 36 What is the fourth smallest value in -1/3, -5, 2/5, -21/4, -10, 0? -1/3 What is the fourth biggest value in 0.3, -26, -1, 2/25, -0.5? -1 What is the second biggest value in -4, -5, 1/11, 2/31, 1/5, -1/33? 1/11 What is the fifth smallest value in 1, -2/43, 4, -2/19, -2, 0.02? 1 Which is the biggest value? (a) 4 (b) -554522 (c) -0.5 (d) 3/8 a Which is the third biggest value? (a) 1/5 (b) -425/12 (c) 0.1 b Which is the biggest value? (a) 0.31 (b) 0.3 (c) -3 (d) 0.178 (e) 1/3 e What is the second biggest value in 6/49, 3, 36? 3 What is the third biggest value in -11, 0.4, -12, -5/3, -1/6, -2? -5/3 What is the third biggest value in -170003, 5, -4? -170003 Which is the third biggest value? (a) 0.07 (b) -5 (c) 1/2 (d) 2/7 (e) 10034 d Which is the fifth biggest value? (a) 0 (b) -159.4 (c) -19/3 (d) -4 (e) -0.4 b What is the third biggest value in 3/7, -2/25, -1/46, 0.1, 5, 0.06? 0.1 Which is the fourth smallest value? (a) -2/23 (b) 189.22 (c) 2/9 (d) 0 b Which is the sixth smallest value? (a) -0.5 (b) -2 (c) -5 (d) 0.8 (e) -7 (f) -15 d Which is the fourth smallest value? (a) 2/7 (b) -0.4 (c) 3 (d) 67 d What is the biggest value in -670, -5/3, 1, 52, 5, 0? 52 What is the third biggest value in -1/4, 13330, 3/7? -1/4 Which is the fourth biggest value? (a) 0.09 (b) 4 (c) 5 (d) -2 (e) -6 (f) -3 d Which is the smallest value? (a) 25 (b) -0.1 (c) 1 (d) 3 (e) -41 e Which is the fifth smallest value? (a) 0.09 (b) -4 (c) -2 (d) 26/7 (e) 0.1 (f) -0.4 e Which is the third biggest value? (a) -6 (b) -1/2 (c) 1 (d) 2/389 (e) 5/3 d What is the third biggest value in -5, -0.5, 2/9, -6434, 6? -0.5 What is the second smallest value in 4, -3/8, -19765, -2/19, -0.4? -0.4 What is the second smallest value in 6, 0.3, 2/7, 0.38, -0.1, -1/4? -0.1 Which is the third smallest value? (a) 3/7 (b) 2/13 (c) -1 (d) -292 (e) 38 b Which is the third smallest value? (a) 25/37 (b) 0 (c) 3 (d) -1 a What is the third smallest value in -2/5, 54, -1/5, -0.3, -2? -0.3 What is the fifth biggest value in 2, 1, 4, 121, 0.02? 0.02 Which is the second biggest value? (a) -1/4 (b) 0.2 (c) -245 (d) 2/11 d What is the third smallest value in 28.12, 32, -2? 32 Which is the fourth smallest value? (a) -3 (b) 0.1 (c) -5 (d) 23 (e) 2 (f) 4/7 f Which is the sixth smallest value? (a) 0 (b) 4 (c) 0.4 (d) 66.4 (e) -3/7 (f) -0.1 d What is the third smallest value in 5, 1, -111/14? 5 Which is the third biggest value? (a) -1 (b) -0.04 (c) -18 (d) 8 a What is the smallest value in -1/7, 1/71182, -0.4? -0.4 What is the smallest value in 1.1643, 1, 2/9? 2/9 What is the fourth smallest value in -2/35, -1/4, 32, 0.5? 32 What is the third biggest value in -8, -1/5, 8220.2? -8 Which is the third smallest value? (a) -4627/3 (b) -0.1 (c) 0.2 c Which is the second smallest value? (a) 102 (b) 61 (c) 92 c Which is the smallest value? (a) -0.5 (b) -111 (c) -0.1 (d) -125 d What is the third biggest value in 10, -9, 6, 1/98, 8, 1/3? 6 What is the third smallest value in -1/7, 4/5, 15.349? 15.349 Which is the fifth biggest value? (a) 13 (b) -516.4 (c) 3 (d) -4 (e) -0.8 b Which is the smallest value? (a) 9 (b) 0 (c) -297 (d) -2 c Which is the third biggest value? (a) -0.108 (b) -1.8 (c) 4 (d) 2 a Which is the fourth smallest value? (a) 30 (b) -33 (c) -2/13 (d) 11/3 a What is the smallest value in -3, 13, 2, -7/541, 4? -3 What is the third biggest value in -3, -59, -16/25? -59 Which is the biggest value? (a) -42 (b) -2/7 (c) 177 c Which is the second biggest value? (a) -35 (b) 0.646 (c) 2/23 c Which is the biggest value? (a) -1/8 (b) -4 (c) 1101 c Which is the third biggest value? (a) -4 (b) 39 (c) 3 (d) 4 (e) -3 c What is the fourth biggest value in 0.1, 4622, -2, 2? -2 Which is the fourth biggest value? (a) -37 (b) -0.1 (c) -1.69 (d) -6/7 a Which is the sixth biggest value? (a) 2 (b) 0.0842 (c) -6 (d) -4 (e) 1/4 (f) -0.03 c What is the smallest value in 0.2, 0.04, 0.8, -6, -4, 6/7? -6 What is the third smallest value in 22, -0.4, -0.1, 67/7, 0.2? 0.2 What is the second smallest value in -93662, 0.1, 5/2? 0.1 What is the smallest value in -5525, -0.5, -5, -0.4, 4? -5525 Which is the fourth biggest value? (a) -3 (b) -6 (c) -2/1193 (d) -1/4 b Which is the second biggest value? (a) 1 (b) 2 (c) 2/21 (d) 5 (e) 5/8 (f) 4.92 f What is the third biggest value in 5, 841, -0.02? -0.02 What is the second smallest value in -20, 1, -222, 1/2? -20 What is the smallest value in 1/5, -0.2, -5, -0.08, -70? -70 Which is the biggest value? (a) -2 (b) -8/133 (c) 26 c What is the third biggest value in -0.11, -2063, 0.2? -2063 What is the second biggest value in -220/3, 0.07, -4, -3? -3 What is the third biggest value in -0.4, 5, -1.8, -32, 0.4, -4? -0.4 What is the third biggest value in 1.38, -5, 71, -9? -5 Which is the sixth biggest value? (a) 10 (b) 55 (c) 3 (d) 1/2 (e) -4/5 (f) -4/3 f What is the fourth biggest value in -0.6, 0.2, -22, 6, 1/12? -0.6 What is the second smallest value in 0.3, -2264, 3, -27? -27 What is the fifth biggest value in -1/6, -115, -0.4, 2, -23? -115 Which is the third smallest value? (a) 23/781 (b) 1 (c) -1 b What is the third smallest value in -4, -3, 0.5, -64, 6, -1? -3 What is the third
{ "pile_set_name": "DM Mathematics" }
2*b + 57*b - 4*i. Sort b, 5, 7 in ascending order. b, 5, 7 Let h be -4 + 2 + 1170/572 + (-24)/44. Sort h, -13, 0.2 in decreasing order. 0.2, h, -13 Let g be 4 - (-7 - (0 + -2)) - (13 + -11). Put g, -5, 1, 5, 2 in ascending order. -5, 1, 2, 5, g Let s = 64 - 58. Let o(b) = b**2 + b - 12. Let z be o(s). Let h = z - 33. Put h, -1, 5 in ascending order. h, -1, 5 Let t = 119377/4 - 29845. Suppose -2*d - 4*l + 69 = l, d + 2*l = 33. Sort t, 2, 3, d in decreasing order. d, 3, 2, t Let x(b) = -4 + b - 3*b**3 + 5 + 0 - 2*b. Let f be x(1). Let g = 63 + -64. Sort g, f, 4 in increasing order. f, g, 4 Let s = 476 - 478.53. Let p = s - -2.03. Let t(a) = -a**2 + 6*a - 4. Let z be t(5). Sort 0, z, p, 0.2 in increasing order. p, 0, 0.2, z Let g = 9.75 - 10.25. Put -0.005, -0.3, -5, -3/4, g in increasing order. -5, -3/4, g, -0.3, -0.005 Suppose -3*s - 10*v = -12*v - 5, 0 = 3*s + 2*v - 1. Put -187, -5, 6, s, 0 in increasing order. -187, -5, 0, s, 6 Let b = 1/174 - -497/4350. Let t = -4/175 - b. Let l = 14.76 - 17.76. Put 1/6, t, -4/7, l in ascending order. l, -4/7, t, 1/6 Suppose a + 8 = 4*q + 5*a, -7 = -q + 4*a. Let k = -147 - -157. Suppose k*d + 16 = 56. Sort d, 2/11, q in descending order. d, q, 2/11 Let r = -3441 + 3440. Let l = 1.4 - 1.3. Sort 21, r, 2/7, l in decreasing order. 21, 2/7, l, r Suppose -3*w - 15 = -i + 4*i, 2*i - 14 = 4*w. Let d be 1/2*46/46*(0 - -2). Suppose -4*f + 12 = 4*o - 0*f, 0 = -4*f. Put i, 4, o, d in decreasing order. 4, o, d, i Suppose -a + 14 = f + 94, -2*f + 6 = 0. Put a, 0, -3, -2 in descending order. 0, -2, -3, a Let n be 7 + (1 - -3)*(-2 - -1). Suppose -3*b - 5 = 3*o + o, 3*b = -3*o - n. Put -7, b, -4 in ascending order. -7, -4, b Let c = 19.9 + -19.21. Let h = c - -4.31. Sort -3, h, 8, -5. -5, -3, h, 8 Let q = 0.053 - -4.447. Let x = q - 4.46. Let u = x - -4.96. Put 0.05, -3, 1/3, u in decreasing order. u, 1/3, 0.05, -3 Suppose o - 3 = z, 0 = 3*z + 2*z + 5. Let a = -26993 - -26998. Put a, 13, o, -4 in decreasing order. 13, a, o, -4 Let f(v) = -v**2 + 6*v - 7. Let s be f(5). Let c(z) = -2*z + 6*z + z**2 + 4*z**2 + z**3 + 1 + 0. Let x be c(-4). Sort -4, s, x, -1. -4, s, -1, x Let v = -244.9 + 245. Let n(u) = -u. Let o be n(-2). Let s be 1/(-13 - o)*3. Sort v, s, 5 in descending order. 5, v, s Let q(c) = 2*c**2 + 3*c + 1. Let m be q(-2). Let z(v) = -9296*v - 46494. Let n be z(-5). Sort n, m, 5. n, m, 5 Let r = -13879 + 13879.03. Sort -0.1, -3, -19, r, 0.3 in descending order. 0.3, r, -0.1, -3, -19 Suppose -18*m + 4 = -17*m - 4. Put -38, 4, m, -2 in decreasing order. m, 4, -2, -38 Suppose 85 = -543*h + 526*h. Put -2, h, 4493 in descending order. 4493, -2, h Let d be 9/3*3/9. Let x be (-1)/12 - (-3186)/(-648) - -3. Suppose v - 10 = -y - 4, -5*v + 5*y = -20. Sort x, v, d in descending order. v, d, x Suppose -8*s - 16 = -4*s. Suppose -6939 = 18*l - 2511. Let n = -251 - l. Sort n, 4, s. n, s, 4 Let a(f) = 8*f + 161. Let l be a(-20). Let w(v) = 2*v + 1. Let i be w(-1). Put -51, i, l in descending order. l, i, -51 Let y be 0/(-4 + 2/1). Suppose 3*q - w = 1, -4*w - 8 = -4*q - w. Suppose 29*o - 7 = 80. Put y, q, 22, o in increasing order. q, y, o, 22 Let k(x) = -x**3 - 4*x**2 - 3*x - 1. Let v be k(-2). Let j(z) = z**2 - 15*z + 42. Let o be j(3). Suppose 0 = -o*l - 14 + 26. Sort l, 1, v in decreasing order. l, 1, v Let v = 2217 - 2229.87. Let x = v - 0.13. Let i = 12.5 + x. Sort 0.5, i, 16 in descending order. 16, 0.5, i Let r = 33.861 + -32.321. Sort -4/5, r, -0.1, -5/4. -5/4, -4/5, -0.1, r Let f = -17408 - -17413. Sort -32, 2, f, -1, 4 in descending order. f, 4, 2, -1, -32 Let v be (-1*2)/(36/54) - 106/53. Let d = 6 - 3. Sort d, -4, v, -54. -54, v, -4, d Let l = -4850.1 + 4823. Put l, 0.1, 3, -0.3, 0.5 in ascending order. l, -0.3, 0.1, 0.5, 3 Let l = 744 + -744.2. Put 4/11, -3, -1/6, -27/17, l in descending order. 4/11, -1/6, l, -27/17, -3 Let c be (-224)/84*1/6. Sort -3/7, -1, c, 2 in increasing order. -1, c, -3/7, 2 Let a(n) = -9*n**2 - 1026*n - 1067. Let v be a(-113). Sort v, 0, -28 in decreasing order. 0, -28, v Suppose -13 + 123 = -4*y + 3*r, 3*y + r = -89. Let q = -26 - y. Let a be (8/(-16))/(q/6). Sort a, 0.2, -3/4. a, -3/4, 0.2 Suppose 0 = 5*k - 4*w + 5, 4*k + 2*w - 4*w = 2. Let q(p) = -p**3 - 35*p**2 + 74*p + 6. Let r be q(-37). Let j = r - 8. Sort k, 1, -5, j in descending order. k, 1, j, -5 Let o(y) = -12*y**2 + 3*y - 1. Let m be o(1). Let d be (-420)/25 - 8/m. Let w = d - -19. Sort -4, 1, w in descending order. w, 1, -4 Suppose 253 + 370 = 167*l - 546. Put -2, l, -3, 1, -8 in increasing order. -8, -3, -2, 1, l Let v = 6 + -5.7. Let y = 0.61 - 94.61. Let m = 96 + y. Sort v, -4, 1, m. -4, v, 1, m Let s be (-3)/2*(-21)/(-42). Put s, 0.1, -92 in descending order. 0.1, s, -92 Let v(p) = 3*p - 29. Let h be v(0). Let c be 6/27 + 0 + h/9. Let n be (c/9)/(3/(-27)). Sort n, 6, -2 in increasing order. -2, n, 6 Suppose -2*v = -v + 18. Let f be (-2 + 3)*(5 + (-12 - 6)). Put -4, v, f in increasing order. v, f, -4 Suppose -2*l + 5*c + 4 = -5*l, 0 = -5*l - 3*c + 4. Let v = 103 - 104. Put l, v, -2 in ascending order. -2, v, l Let t = -50095 + 50091. Let y(d) = 3*d**2 - 3*d - 8. Let f be y(7). Sort 0.2, t, f in decreasing order. f, 0.2, t Let j = -0.08 - -0.38. Suppose -4*u + 2*u = 2*u. Let f = 37 + -66. Sort -1, j, u, f. f, -1, u, j Let g be 40/(-50) + 2/5. Suppose 2*r = -4*y - 12, 2*r = 3*r - y. Let s be (22/(-3) - r)*45/(-20). Put g, s, 5 in decreasing order. s, 5, g Let m(i) = 16*i + 243. Let g be m(32). Let q = g - 785. Put q, -4/3, 0 in decreasing order. 0, -4/3, q Let l be 33/((-15180)/224) - (1 + (-7)/5). Put 0.2, -2/11, l, 0.4 in descending order. 0.4, 0.2, l, -2/11 Let c = 136 - 341. Let s = c + 207. Put -2, s, 0.096, 5 in increasing order. -2, 0.096, s, 5 Let l(j) = -7*j - 4. Let w be l(6). Let z = -45 + w. Let i = z - -93. Sort 4, 1, i, -4 in ascending order. -4, 1, i, 4 Let m(k) = k**2 + k - 6. Let i be (8 - 9)*1*3. Let y be m(i). Suppose 0 = 2*o + 3*t - 12, y*o + o - 2*t = -1. Put 7, 2, o in descending order. 7, o, 2 Let v(d) = 2*d**2 + 9*d + 5. Let m(k) = 2*k**2 + 9*k + 4. Let a(g) = -5*m(g) + 4*v(g). Let u be a(-5). Let z = 1 - 3. Sort z, u, -3. u, -3, z Let b = 3.5 - 3. Let s be 3*((-30)/105*35 + (-178)/(-18)). Put b, s, 0.08 in increasing order. s, 0.08, b Suppose 4*w - 6*u = -28 + 2, 0 = -3*w + 5*u - 21. Put 2, -4, w, 21 in decreasing order. 21, 2, w, -4 Let v be (((-4)/(-3))/4)/(2/12). Let k = -1878 - -1876. Sort 63, 4, k, v in descending order. 63, 4, v, k Let x = -37159/561 + 1125/17. Put -2/7, x, 4/5, -1/4 in descending order. 4/5, x, -1/4, -2/7 Let q = -0.7148 - 2.8022. Let o = 0.063 - q. Let c = o - -0.42. Sort -0.3, c, 0.5, -3/7 in ascending order. -3/7, -0.3, 0.5, c Suppose 3*h = 3*b, -6 + 0 = -4*h - 2*b. Let k be (h - 2) + (-66)/(-6). Let u = -0.05 - 0.05. Sort u, k, 0 in descending order. k, 0, u Suppose 0 = 5*q - r - 0*r - 21, 0 = 3*q - 2*r - 7. Suppose -2*v - q = -3*v. Let p(d) = -193*d - 197. Let b be p(-1). Sort v, b, -2, 0 in decreasing order. v, 0, -2, b Let u be 4/(-2) + ((-4)/(-1) - 5). Suppose 0 = -5*t + t + 20. Suppose 0*s - s - t*y = 35, 0 = 4*y + 20. Sort 4, u, s in descending order. 4, u, s Let s(o) = -2*o**2 - 49*o + 14. Let g be s(-25). Let m be 75/g + 6/(-33). Put 5, -5, m in increasing order. m, -5, 5 Suppose -5*y - 2*r = -3*y - 8, -y + 1 = -2*r. Let n(j) = -3*j - 21. Let d be n(4). Let s be d/6 + (-2)/(-4). Put s, -1, y in decreasing order. y, -1, s Let f = -0.086 + -46.914. Let c = -46.9 - f. Let m = -76 + 76. Put -8, c, m in descending order. c, m, -8 Let y be (-4)/36*-12*3/22. Let n = -74 - -73. Let g be 2/(-5) + 16/90. Put n, 2/3, y, g in increasing order. n, g, y, 2/3 Let p = -18720 + 18715. Sort 1.133, 2, -0.5, -1, p in descending order. 2, 1.133, -0.5, -1, p Suppose 4*a - x + 16 = 0, -2 = -2*a - 4*x + 8. Let k = -12 + 17. Sort a, -21, k in descending order. k, a, -21 Let g = 0.04 - -4.96. Let p = 2260.5 + -2261. Put g, p, 4, 0.3 in increasing order. p, 0.3, 4, g Let q = 11687 + -11687.2. Put 3, -0.8, q, 0.37, -4 in descending order. 3, 0.37, q, -0.8, -4 Let k = 39.914 + -40. Let j = 34353/68702 + -1/34351. Sort j, 1/5, k, -1/3 in increasing order. -1/3, k, 1/5, j Suppose 4*w + 15 = 3*v + 38, 2*v = 5*w - 20. Suppose 3*b - 5 = -4*d + 18, 4*d - 2*b = -22. Let o be 6/(-27) + 124/(-9). Sort o
{ "pile_set_name": "DM Mathematics" }
- -17) + (-55 - -49) and (10/(-3))/(d/3). 10 Let s = 303/143 + 69/26. What is the common denominator of s and -55/1024? 11264 What is the common denominator of (-131)/655 - (197/210)/(-1) and -15/28? 84 Let r = -270/47 + 7265/1551. What is the common denominator of 89/36 and r? 396 Let b = -246 - -310. Calculate the smallest common multiple of b and 224. 448 Let r be 9/(-15) + 514/(-10). What is the lowest common multiple of (-512)/r - 2/(-13) and ((-8)/(-24))/((-1)/(-36))? 60 Calculate the common denominator of (-2)/6 + 805/120 and (-6)/(-1) - (693/(-180))/(-11). 40 Suppose 4*g + 0 - 8 = 4*r, -4*g = 5*r + 1. What is the least common multiple of ((-7)/((-147)/14))/((-16)/(-24)) and g? 1 Let t = 18862/5 - 3619. Let h = -3001/20 + t. What is the common denominator of h and 1/6? 60 Let j = 463/42 - 4/21. Calculate the common denominator of j and (-4)/14 + 503/21. 6 Let b be 2/6*53325/90. Let z be 2 - 4236/(-22) - 2. Let r = b - z. What is the common denominator of -5/14 and r? 154 Suppose -5*s + 30*y - 25*y + 110 = 0, s + y = 14. Calculate the smallest common multiple of 2 and s. 18 Let h = -162 - -164. Let g(i) = -64*i**3 - 2*i**2 + 1. Calculate the smallest common multiple of g(-1) and h. 126 Let p be (-1496)/(-24) - (-1)/(-3). Suppose 4*m + 6 = p. What is the lowest common multiple of 4/m*(-28)/(-8) and 5? 5 Let s be (95605/1485)/(1758/(-72)). Let t = s - -1/2637. What is the common denominator of 0 + -1 + 38/18 and t? 99 Find the common denominator of 99/8 and (-20)/(-50) + 198/(-4170). 1112 Let w = 12/23 - 499/736. What is the common denominator of w and 85/28? 224 Let k(v) = -v**3 - 2*v**2 + 5*v - 7. Let h be k(-5). Let q = h - 60. Calculate the common denominator of q and 2/(-6) + 256/30. 5 Let o = -14729/189 + 552/7. What is the common denominator of 44/63 and o? 189 Let v = 1027/980 - -102/245. Find the common denominator of v and 37/189. 756 Suppose 0 = j + j - 2*g + 4, -j - 4*g = -18. Let r = 483/10 + -174/5. Calculate the common denominator of j/32 + 1 - 0 and r. 16 Suppose 12*c - 89 = -17. Find the common denominator of ((-4)/c)/((-1)/(-37)) and -22/7. 21 Let z(l) = -2*l**3 + 2*l**2 + 6*l + 6. What is the smallest common multiple of z(-2) and 384? 1152 Let i be 7/21 + (-42050)/(-12). Let p = i - 42143/12. Calculate the common denominator of p and -12/7. 84 Let n be (6*4/(-6))/((-2)/(-1)). What is the lowest common multiple of 2 and (24/(-9) - n) + 20/3? 6 Let a = 219 + -141. Let v = a - 66. Calculate the smallest common multiple of v and 10. 60 Let r(f) = f + 7. Let b be r(13). Let k = -4 + b. Suppose -2*t - 10 = 0, 0*j = 5*j - 5*t - 55. What is the least common multiple of k and j? 48 Suppose -7*b + 2*q + 56 = -5*b, -5*q = -20. Calculate the lowest common multiple of b and 24. 96 Let m be (5/5)/(-1)*5. Let v = 1537/4 + -373. Find the common denominator of (-6)/36 + m/12 and v. 12 Let r = 2299/3 - 782. Calculate the common denominator of r and 60/(-35) + -3 + 2. 21 Let v = -72 + 77. Suppose -3*b = -6*b + 9. What is the lowest common multiple of v and b? 15 Calculate the common denominator of (-27)/2 + (-13)/((-26)/(-12)) and -79/92. 92 Suppose -3*t - s = -11, 3*t - 9*s - 1 = -5*s. Let g(k) = -k**2 + 15*k - 15. Calculate the least common multiple of g(13) and t. 33 Let j = 25 - 37. Let g = 18 - j. Let y(d) = 12*d. What is the smallest common multiple of y(1) and g? 60 Let j = -25465/3178 + 84/227. Let a = -10135 + 182305/18. What is the common denominator of j and a? 126 Let w be (-23340)/(-63) - 2/(-3). Let q = -701 - -338. Let x = w + q. Calculate the common denominator of x and -70/3. 21 Let z = -176/3 - -2861/48. Let k = -823/16 + z. Find the common denominator of 24/7 and k. 14 Let y(j) = -j**3 - 4*j**2 - 8*j - 16. What is the lowest common multiple of y(-4) and 4? 16 Let q(j) = 8*j**3 + j**2 - 4*j + 2. Let y = 41 + -40. Calculate the lowest common multiple of q(y) and 10. 70 Let z(c) = 32*c**2 + 17*c - 16. Calculate the smallest common multiple of 3 and z(1). 33 Let x = 42 + -48. Calculate the least common multiple of 2 - 6*4/x and 18. 18 Let x be (-1)/2 + 66/60*5. Suppose x*w = 25, 9*w - 4*w - 13 = 3*i. Calculate the least common multiple of i and 6. 12 Suppose 8*z - 996 = 2*z. Let b = z - 1172/7. Find the common denominator of -23/9 and b. 63 Calculate the common denominator of (-2 - 2494/(-288)) + (236 - 243) and -119/30. 720 Let w = -55 - -51. Suppose -2*g = 6 - 42. What is the common denominator of 1514/60 - w/(-10) and g? 6 Let v = 1679699/2332 - 7927/11. Find the common denominator of v and -1/6. 636 Suppose 3 = -3*a - 3*c + 18, -5*c + 20 = 0. Let p = 1 + -3. Let y = 3 - p. What is the least common multiple of a and y? 5 Let f = -232266/13 - -17886. Let y = 19/52 + f. Find the common denominator of y and 111/10. 20 Let w = -1953 - -1968. Calculate the lowest common multiple of w and 25. 75 Calculate the common denominator of -121/12 and (-31)/5*(-4 - (-33)/9). 60 Suppose 0 = -5*q + 13 + 12. Suppose -q*j + 13 = -7. Calculate the common denominator of -7/10 and (-2)/(10 + 4/j). 110 Let n be -30147 + 0 + -6 + 2. Let f = n - -542581/18. Calculate the common denominator of f and -145/24. 72 Let s be 481/4 + 9/(-36). Suppose -5*x = 3*y - 295, s = 4*x - 3*y - 143. What is the common denominator of 3/(216/x) - 2 and -19/6? 36 Calculate the lowest common multiple of ((-2176)/102)/((-4)/6) and 8. 32 Let h be 10/(-8)*1956/60. Let x = -41 - h. Find the common denominator of -57/8 and x. 8 Let i(u) = -117*u**2 - 2*u + 1. Let m be i(1). Calculate the common denominator of -19/16 and (3 + (-204)/64)*m/12. 32 Find the common denominator of -11 - (-91)/13 - 74/(-44) and 25/88. 88 Suppose 3*u + 1769 = 5*q, u - 3*u = -2*q + 710. Let b be (-6)/33 - 139988/q. Let v = -396 - b. Calculate the common denominator of 21/2 and v. 8 Let p = 92439/2 + -47230. Let l = -1054 - p. Let k = 195 + -329/2. What is the common denominator of l and k? 2 Suppose 5*a - 3*a - 48 = 0. Suppose -x - 5*y - a = 2, x + y = -10. Calculate the smallest common multiple of (-92)/(-6) - 4/x and 8. 16 Suppose q = 6285 + 5372. Let u = -139963/12 + q. What is the common denominator of 35/11 and u? 132 Suppose q + 3*v = -40, 0*v - 2*v = 2*q + 72. Let i = 30 + q. What is the common denominator of -3 and (-1)/i*1598/(-51)? 6 Let t = 3122 + -109293/35. Find the common denominator of t and 9/55. 385 Calculate the common denominator of (-1843)/(-4788) - (-1)/4 and 39/49. 441 Let l = -63 + 68. Suppose 4*t + 5 = l*t. What is the least common multiple of t and 5? 5 Let v be 0 - (-1 + 1) - 13500. Let h = -19407 - v. Let y = h - -35363/6. Calculate the common denominator of y and 99/14. 42 Find the common denominator of 74/9 and (-996)/(-1008) - (0 + -3 - -2). 252 Calculate the common denominator of (-15)/((-300)/(-94)) - -9 and (-603)/12*4/(-6). 10 Let r be 1/((2/(-1))/54). What is the smallest common multiple of (-644)/(-63) - (-6)/r and 4? 20 Suppose -6 = 5*b - 16. Suppose b*v + 11 = 5*a, v - 3*a + 10 = 3. Calculate the least common multiple of 22 and v. 22 Suppose 34 = 4*v - 46. Calculate the lowest common multiple of v and 40. 40 Let j = -53988/29597 - -31/17. Let q = -175847/10446 - j. Calculate the common denominator of q and -23/7. 42 Let p(l) = 4*l - 5 + l - 4*l**2 + l**2 + 0*l**2. Let w be p(10). Calculate the common denominator of w/(-108) + (-1)/(-4) and 73/18. 18 Let u = 29 + -14. What is the common denominator of (-89)/24 - (-5)/u and 2*(4 - 1 - (-2210)/(-1144))? 88 Let w(x) = x - 3. Let g be w(8). Suppose -3*j + g*o + 4 = -1, 2*o = -8. Let h(c) = c**3 + 7*c**2 + 5*c - 5. What is the lowest common multiple of h(j) and 54? 540 Suppose -7*g - 551 = -26. Calculate the common denominator of -63/5 and (-2)/1 - 246/g. 25 Let c(k) = -22*k + 4. Let b be c(-2). Suppose 2*a + b = 8*a. Calculate the least common multiple of a and 10. 40 Suppose -b = -5*l + 5, 3*b = -4*l + 15 + 8. Suppose b*y + 4*x - 42 + 2 = 0, 22 = y - 2*x. Calculate the least common multiple of 6 and y. 12 Let p = 1245 - 1101. Calculate the smallest common multiple of 36 and p. 144 Let w(v) = v**3 + 9*v**2 - v - 12. Suppose 3*b + 30 - 12 = -2*h, h - 5*b + 9 = 0. Let a be w(h). Find the common denominator of (a/8)/(3/82) and -49/2. 4 Find the common denominator of ((-20)/16)/((-64)/22) and 23/22. 1408 Let i be
{ "pile_set_name": "DM Mathematics" }
king 1 n and 1 k. 8/45 What is prob of picking 2 a when two letters picked without replacement from ttktkttkktattkkkka? 1/153 Calculate prob of picking 3 w and 1 h when four letters picked without replacement from {w: 5, h: 3, r: 2}. 1/7 What is prob of picking 1 p, 1 j, and 1 t when three letters picked without replacement from pttcpjmcpcup? 2/55 Calculate prob of picking 1 c, 2 r, and 1 g when four letters picked without replacement from rgrcn. 1/5 Calculate prob of picking 2 j when two letters picked without replacement from {f: 13, j: 3}. 1/40 What is prob of picking 3 d and 1 q when four letters picked without replacement from qjddmqqqqdqxq? 7/715 Calculate prob of picking 2 d and 2 j when four letters picked without replacement from {s: 3, k: 1, d: 2, w: 1, j: 3}. 1/70 Calculate prob of picking 2 k when two letters picked without replacement from {m: 1, o: 2, k: 1, q: 2, z: 1}. 0 Two letters picked without replacement from {l: 2, m: 1, y: 6, w: 1, k: 2, s: 7}. What is prob of picking 1 k and 1 m? 2/171 Calculate prob of picking 2 z when two letters picked without replacement from zzzttrzrrrtrctrri. 3/68 Two letters picked without replacement from {a: 18, n: 2}. What is prob of picking 2 a? 153/190 Two letters picked without replacement from yolyogoyylsozyoo. Give prob of picking 1 o and 1 l. 1/10 Three letters picked without replacement from {n: 5, w: 2}. Give prob of picking 1 n and 2 w. 1/7 Four letters picked without replacement from {r: 2, u: 2, z: 7, g: 2, p: 1, x: 1}. Give prob of picking 1 p, 1 g, and 2 r. 2/1365 Four letters picked without replacement from bkboygwo. What is prob of picking 1 w, 1 y, and 2 o? 1/70 Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {j: 2, z: 2, c: 2, m: 6}. 2/33 Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, n: 15}. 1/51 Three letters picked without replacement from {x: 3, l: 1, b: 1, w: 6, f: 4}. Give prob of picking 1 x and 2 w. 9/91 Three letters picked without replacement from ddddpddllldp. What is prob of picking 2 p and 1 d? 7/220 Two letters picked without replacement from qqaelyeqaqaeaee. What is prob of picking 1 y and 1 e? 1/21 Two letters picked without replacement from ndlvvledvvdvc. Give prob of picking 1 l and 1 v. 5/39 What is prob of picking 2 n when two letters picked without replacement from nnnnngnngnn? 36/55 What is prob of picking 1 n and 3 t when four letters picked without replacement from {n: 2, r: 3, t: 6, m: 1, p: 5}? 2/119 Three letters picked without replacement from {y: 6, b: 2, c: 11}. What is prob of picking 2 y and 1 b? 10/323 Calculate prob of picking 1 v, 1 b, 1 s, and 1 l when four letters picked without replacement from {o: 2, s: 1, v: 1, b: 1, l: 2}. 2/35 What is prob of picking 1 u and 1 s when two letters picked without replacement from {m: 3, u: 3, b: 5, s: 2}? 1/13 Two letters picked without replacement from xxxxyxxx. What is prob of picking 1 y and 1 x? 1/4 What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 2, a: 2, y: 1, u: 1, l: 1, x: 1}? 1/14 Two letters picked without replacement from {y: 1, v: 3, m: 2, l: 1}. What is prob of picking 1 m and 1 l? 2/21 Four letters picked without replacement from {s: 4, t: 1, w: 1, y: 1, h: 6}. Give prob of picking 2 s, 1 t, and 1 y. 6/715 What is prob of picking 1 s and 1 w when two letters picked without replacement from wssiauahisa? 3/55 Three letters picked without replacement from iwwifwkiwiai. What is prob of picking 1 f, 1 w, and 1 k? 1/55 Calculate prob of picking 1 t, 1 d, and 2 f when four letters picked without replacement from {d: 1, f: 2, l: 1, y: 3, t: 3}. 1/70 What is prob of picking 1 w and 3 q when four letters picked without replacement from iqqhwhqighqhhhhih? 1/595 Four letters picked without replacement from ioioiiooooo. What is prob of picking 2 i and 2 o? 21/55 Three letters picked without replacement from wwwwwgwg. Give prob of picking 2 g and 1 w. 3/28 Three letters picked without replacement from yyoooooyoyoooooooooo. Give prob of picking 2 y and 1 o. 8/95 Two letters picked without replacement from szzoiszizieo. Give prob of picking 1 s and 1 o. 2/33 Two letters picked without replacement from {s: 2, c: 8}. What is prob of picking 1 s and 1 c? 16/45 Three letters picked without replacement from {e: 3, b: 4, f: 6, c: 4}. What is prob of picking 3 b? 1/170 Four letters picked without replacement from nnlnuunulln. Give prob of picking 2 u and 2 l. 3/110 Two letters picked without replacement from offccgcfcccfcgoocco. What is prob of picking 1 o and 1 c? 4/19 Two letters picked without replacement from {r: 18, e: 1}. What is prob of picking 2 r? 17/19 What is prob of picking 1 p, 2 o, and 1 b when four letters picked without replacement from fbbofdop? 1/35 What is prob of picking 1 w, 2 b, and 1 p when four letters picked without replacement from bmhhwhwmbwbpwwp? 2/91 Calculate prob of picking 4 y when four letters picked without replacement from qvqejveyvyjqqjyhy. 1/2380 What is prob of picking 1 z, 1 i, and 2 q when four letters picked without replacement from qiikzqiqkqkq? 2/33 What is prob of picking 2 z and 1 a when three letters picked without replacement from pppzpiappzpi? 1/220 Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {s: 1, k: 2, u: 7, n: 8}. 7/816 Calculate prob of picking 1 p, 1 d, 1 v, and 1 j when four letters picked without replacement from qedqqqjvejjp. 1/165 Four letters picked without replacement from {h: 6, y: 1, e: 3, k: 1, d: 1}. Give prob of picking 1 h, 1 d, and 2 y. 0 What is prob of picking 1 a, 1 s, and 2 l when four letters picked without replacement from satttldlltt? 1/110 What is prob of picking 1 s and 1 b when two letters picked without replacement from msmbxbssbbbbmmmb? 7/40 What is prob of picking 1 h, 1 j, and 1 y when three letters picked without replacement from {s: 1, a: 3, j: 4, n: 2, h: 2, y: 3}? 24/455 Calculate prob of picking 3 s when three letters picked without replacement from {s: 9}. 1 Four letters picked without replacement from {j: 3, x: 11, p: 4}. Give prob of picking 1 x, 2 p, and 1 j. 11/170 What is prob of picking 4 f when four letters picked without replacement from yfffyffff? 5/18 Three letters picked without replacement from {i: 3, e: 1, n: 2, f: 1, c: 3, m: 7}. Give prob of picking 1 f and 2 m. 21/680 What is prob of picking 2 p and 2 f when four letters picked without replacement from ppppffpppppppppppppp? 3/95 Three letters picked without replacement from {e: 1, o: 4, u: 9}. What is prob of picking 2 o and 1 e? 3/182 Calculate prob of picking 3 z when three letters picked without replacement from tztttztztt. 1/120 Calculate prob of picking 1 r, 1 q, and 1 y when three letters picked without replacement from eyyrurwqu. 1/21 Calculate prob of picking 1 c and 1 k when two letters picked without replacement from kkckckkkcckccc. 7/13 Calculate prob of picking 1 b and 1 z when two letters picked without replacement from pxspjjzbb. 1/18 Calculate prob of picking 2 o and 2 c when four letters picked without replacement from coogcgocgocogoc. 10/91 Four letters picked without replacement from ddiqsqdvdqdq. Give prob of picking 1 i, 1 q, and 2 s. 0 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from osssssssssuss. 11/78 Calculate prob of picking 2 m when two letters picked without replacement from ptmpmmpypptmmmpmt. 21/136 Two letters picked without replacement from {a: 1, y: 1, z: 2, q: 2}. Give prob of picking 1 z and 1 q. 4/15 Two letters picked without replacement from ffwksrrcc. What is prob of picking 1 c and 1 s? 1/18 Two letters picked without replacement from ldjdjddnddjnnnnjj. Give prob of picking 2 n. 5/68 Four letters picked without replacement from yayyyamvyttmay. Give prob of picking 1 t, 2 a, and 1 v. 6/1001 Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {d: 3, o: 2}. 3/5 Two letters picked without replacement from {h: 7, c: 3, q: 1, d: 4, a: 1, z: 2}. Give prob of picking 2 h. 7/51 Two letters picked without replacement from cmmcc. What is prob of picking 2 m? 1/10 Calculate prob of picking 1 g, 1 s, a
{ "pile_set_name": "DM Mathematics" }
0/(-4)? 40 Let b(h) be the first derivative of 2*h**3/3 + 9*h**2/2 - 3*h - 6. Let m be b(-7). What is the common denominator of -29/10 and 6/(0 + m/(-26))? 40 What is the smallest common multiple of (-3 + -5 - -1) + 91 and 60? 420 Calculate the common denominator of (282/45)/(36/10) and (118/(-72)*1)/(5/15). 108 Let a = -105 - -109. Let d(q) = q**2 - q - 2. Let l be d(3). Let y = a + l. What is the least common multiple of 4 and y? 8 Find the common denominator of 180/144 - (-232)/(-206) and 79/4. 412 Suppose -5*s = 4*k - 17, -k - s - 2*s = -6. Let g = -243 - -248. Calculate the lowest common multiple of k and g. 15 Let s be (-106140)/16*(-822)/440. Let n = -2193743507/177232 + s. Let t = n + 6/1007. Calculate the common denominator of -35/8 and t. 8 Suppose 0 = 2*d - 4*d + 10. Suppose -d*u = -p - p - 354, 5*p - 60 = -u. Find the common denominator of -43/4 and ((-244)/u)/(20/25). 28 Let p = 313 - 310. Calculate the smallest common multiple of p and 54. 54 Let t(x) = x**3 - 50*x**2 + 304*x - 52. Let h = -9 - -19. Calculate the least common multiple of t(43) and h. 770 Let f(a) = 31*a**2 - 14*a + 15. Calculate the lowest common multiple of f(1) and 4. 32 Let z(f) = -7*f - 4. Suppose h + 3*h - 20 = 4*x, 4*h = -x + 10. Calculate the lowest common multiple of 1 and z(x). 10 Let q = 19613/204 + -1497/17. Suppose -4*z - 4*k - 356 + 0 = 0, -2*k - 10 = 0. What is the common denominator of q and z/704 - (-4)/22? 48 Suppose 10*k + 92 = 392. Calculate the smallest common multiple of k and 336. 1680 Suppose -5*x = 4*a, -2*x = 3*a - 5*a. Calculate the common denominator of (-52)/6 - (1 + -3 + a) and -35/27. 27 Suppose -4*h = 2*o - h - 35, -4*h = -3*o + 10. Suppose -5*q - 109 = -14. Let s = q - -21. What is the lowest common multiple of o and s? 10 Find the common denominator of 62/75 and 6/10 + 1302/(-270). 225 What is the common denominator of 119/24 and 507/72 + -12 + 6? 24 Let p(t) = -13*t + 73. Let z(h) = 27*h - 145. Let l(j) = -5*p(j) - 2*z(j). What is the least common multiple of l(10) and 45? 315 Suppose -3*q + a = -164, -60*q + 2*a = -57*q - 166. Calculate the smallest common multiple of q and 2. 54 Let r be (-12)/(-8) + 18175/(-1218). Let y = r - -334/29. What is the common denominator of -5/24 and y? 168 Let t = 9901/10 - 1941/2. Let v = t - 413/30. Find the common denominator of v and 77/21 + (-12)/(-27). 18 Let l = -380 - -523. Calculate the lowest common multiple of 65 and l. 715 Let q = -924 - -1027. Calculate the least common multiple of 8 and q. 824 Let n = 3193/4 - 789. What is the common denominator of n and 17/6? 12 Suppose -3*u = 2*p - 4, 3 = -4*u + p + 12. Suppose u*g - 4*n - 18 = 0, -2*g - n + 10 + 33 = 0. Calculate the least common multiple of g and 2/17 - 938/(-119). 152 Let w = -805/3 - -8809/33. What is the common denominator of w and -35/3? 33 Let q = -235187/40 - -5881. Let g = 10 + -9. What is the common denominator of 226/40 + g/5 and q? 40 Suppose -423 = -63*t + 144. Let j(m) = 3*m**2 + 6*m + 1. What is the smallest common multiple of t and j(-3)? 90 Let p be 282/1914*(2 - 0). Let k = p + 2/29. Find the common denominator of -8/7 and k. 77 Suppose u + 8*u - 964 = -937. Let z(k) = 3*k**2 - k + 2. What is the least common multiple of u and z(2)? 12 Let x(r) = -r - 5. Let u be x(-5). Suppose s - 3 = -0. Let d = s - u. What is the lowest common multiple of 8 and d? 24 Let h = 9199/10 + -919. Calculate the common denominator of 1/1*897/46 and h. 10 Let f = 19661/6 - 639137/195. Find the common denominator of -37/50 and f. 650 Let j be ((-8)/6)/((-11)/33). Suppose -12 = -4*q, 0 = j*p - 4*q - 85 + 1. Calculate the least common multiple of p and 27. 216 Let b(w) = w**2 - w - 8. Suppose 1960 + 692 = 17*i. What is the smallest common multiple of i and b(6)? 1716 Find the common denominator of -8 + ((-77)/(-40) - -8) and -97/420. 840 What is the common denominator of ((-4)/1188)/(-9 - 27790/(-3090)) and -49/18? 198 What is the common denominator of 16/2 - (-4564)/(-576) and 29/88? 1584 Let w = -37 - -38. Let c be w*(-6 - -4) + 9. Find the common denominator of (c/(-12))/((-20)/(-390)) and -61/2. 8 Suppose -425 = -5*i - m, -8*i = -11*i - 4*m + 272. Calculate the smallest common multiple of i and 12. 84 What is the smallest common multiple of 4 + (-3 - 0 - 1) + 4 and 1179? 4716 What is the common denominator of 79/8 and (2403/19847)/(8/3)? 1784 Let g = 15634/37941 - 646782838/249993249. Let r = g - 4/599. What is the common denominator of 51/11 and r? 11 Let m be 18077/1119 + 0/(-4). Let q = m + 9/746. Find the common denominator of q and 7 - (1542/156 - 5). 78 Let m = 4 - 2. Suppose 16 - 244 = -6*n. Let l = n + -31. What is the lowest common multiple of l and m? 14 Calculate the common denominator of 71/21 and 8788/(-10374) + 3*(-4)/(-42). 399 Suppose 4*x + 0 = 4. Calculate the common denominator of 2/x*(-147)/(-36) and (-3)/15*15/2. 6 Let g be -3*(2 + 68/(-12)). Let s(c) = 1 - 1 - g*c - 5 - 2*c. What is the smallest common multiple of s(-3) and 16? 272 Suppose 4*c - q + 3*q = -8, 4*c - q = -14. What is the common denominator of 2/7 + 942/280 and ((-21)/4 - -4)/(c/(-19))? 60 Let u = 3004/7 - 30747/70. Calculate the common denominator of (20/70)/(0 + (-6)/69) and u. 70 Suppose -2*q + 17 = 5. Let x(k) = k - 2. Let f be x(q). Suppose 2*j + 0*i - 8 = 2*i, 3*i - 16 = -f*j. What is the lowest common multiple of 3 and j? 12 Let s(w) = -w**2 - 16*w + 43. Let f be s(-17). Suppose -h + 2*b + f = -3*b, -2*h = 2*b - 28. Calculate the lowest common multiple of 80 and h. 80 Let v = -193115/56 - -3450. Calculate the common denominator of v and 1/14. 56 Calculate the common denominator of 110/(-4)*63/(-700) and -111/140. 280 Suppose -r = -3*s + 38, -2*r = -s - 0*r + 21. Calculate the least common multiple of 68 and s. 748 What is the common denominator of -9/88 and -11*(-69)/(-144) - -5*1? 528 Suppose 5*q + 254 = l - 143, 0 = 4*l + 2*q - 1676. Calculate the lowest common multiple of l and 3. 417 Let h = 23808 + -714157/30. What is the common denominator of -63/100 and h? 300 Find the common denominator of 64/3 and 19673/21012 - (0 + 6/8). 102 Calculate the least common multiple of 30 and (76 - 1)/((-6)/(-8)). 300 What is the smallest common multiple of ((100/6)/1)/(27/81) and 100? 100 Let i = 52810679/390 + -1760430/13. Let c = i + -1/195. Let s = -2907/22 - -132. What is the common denominator of s and c? 110 Suppose -346 = 2*p - 478. Calculate the smallest common multiple of 4 and p. 132 Suppose 22*v = 41*v - 1368. What is the lowest common multiple of v and 8? 72 Suppose 5*h = 3*a + 16 - 63, 0 = 2*a + 2*h - 58. Calculate the lowest common multiple of 135 and a. 1080 Let c = 36 + -16. Suppose -4*m = -i + c, -2*m - 19 = -4*i + 19. What is the smallest common multiple of i and 18? 72 Suppose -7*f - 45 = -8*f. Find the common denominator of 39/10 and 714/f + (-20)/(-25). 30 Suppose -5*c + 60 = -0. Let h(f) = -f**3 + 7*f + 1. Suppose -11*y = 8 + 25. What is the lowest common multiple of h(y) and c? 84 Let t = 73969/4216 - 296/17. Find the common denominator of -121/40 and t. 1240 Let p(t) = t + 7. Let i(x) = -7*x + 16. Let d be i(8). Let g = d - -58. Calculate the lowest common multiple of g and p(-5). 18 Let y be -1 + 12/(-4) - -7. What is the common denominator of 38/7 + -1 + y and 31/3? 21 Suppose -2*l + 26 + 30 = 0. Let m = 2616 + -2613. What is the least common multiple of l and m? 84 What is the common denominator of -73/6 and (-874)/96 - (13 - 20)? 48 Let r(g) = -1 + 4*g + 17*g**3 + g**2 - 18*g**3 - 3 + 2*g**2. Let i be r(3). Calculate the common denominator of 41/11 and (-29)/5*(-5)/i. 88 Suppose w = 5*x - 634, -4*w - 249 = -3*x + 145. What is the smallest common multiple of x and 14? 126 Let w = 836945/19 + -44061. Let i = 9/38 - w. Let j = -2095 + 20967/10. What is the common denominator of j and i? 10 Suppose 2 = 3*t - 58. Let n = 8 + -2. Calculate the least common multiple of n and t. 60 Let v = -23165/5988 + -24/499. Calculate the common denominator of v and 17/12. 12 Let u = -34 + 32. Calculate the common denominator of (u/3)/((-36)/(-417)) and -37/8. 72 Let c be 6*(-6)/(-9) + -16. Let y be 4/c - (-362)/6. Find the common denominator of 91/8 and y/(-69)*(-5)/(-20). 184 Let y be (-3)/(-15)*32590/(-16). Let f = y - -405. Find the common d
{ "pile_set_name": "DM Mathematics" }
3 Suppose -s + 1 = -2. Differentiate s*h**3 + 3 - 3*h**3 - 4*h**3 wrt h. -12*h**2 Let f(b) be the second derivative of -7*b**4/6 + 5*b**3/6 - 2*b. What is the second derivative of f(u) wrt u? -28 Let y(s) be the second derivative of s**3/6 + s**2/2 + 3*s. Let c(p) = 6*p**2 - 4. Let w(g) = -c(g) - 4*y(g). What is the second derivative of w(n) wrt n? -12 Let w = 4 - 0. Differentiate -6 - 2*g**3 - 2 + w + 0*g**3 with respect to g. -6*g**2 Let j(f) be the second derivative of -f**3 - f**2 - 19*f. Differentiate j(h) wrt h. -6 Suppose 1 = -4*d + 5. Find the first derivative of 4*x - 4*x - d - 4*x wrt x. -4 Let d(l) = -l**2 + 5*l + 2. Let u be d(5). What is the third derivative of 2*k**2 + u*k**4 + 3*k**2 + 0*k**2 - 5*k**4 wrt k? -72*k Let h(v) be the second derivative of v**6/2 - 7*v**3/3 - 22*v. What is the second derivative of h(m) wrt m? 180*m**2 Differentiate -3*p + 12*p**2 - 30 + 26 + 3*p with respect to p. 24*p Find the third derivative of -22*m**2 + 6*m**4 - 20*m**2 + 13*m**4 + 54*m**2 wrt m. 456*m What is the second derivative of 54*y**4 - 15*y - 108*y**4 + 55*y**4 + y**5 wrt y? 20*y**3 + 12*y**2 Let o(m) = m**2 + 3*m + 5. Let y be o(-2). What is the first derivative of 0*r**3 + 8*r + y + r**3 - 8*r wrt r? 3*r**2 Let z(h) = -h**5 + h**4 - h**3 - h. Let c(w) = 5*w**4 - 5*w**3 - 12*w**2 - 5*w. Let q(t) = -c(t) + 5*z(t). Find the third derivative of q(d) wrt d. -300*d**2 Let r(n) be the third derivative of -1/60*n**6 + 0*n - 3*n**2 - 1/12*n**4 + 0*n**3 + 0*n**5 + 0. Find the second derivative of r(h) wrt h. -12*h Let k(f) be the third derivative of -37*f**5/60 - 21*f**3/2 - 64*f**2. Differentiate k(j) with respect to j. -74*j Let f(x) be the second derivative of x**4/12 + 8*x. Let s(u) = 9*u**2 + 4. Let g(j) = -2*f(j) + s(j). Find the first derivative of g(v) wrt v. 14*v Let s be -2*(-1 + -1 + 1). Find the first derivative of 3*x**3 - s*x**3 + 5*x**3 + 5 wrt x. 18*x**2 Let i(u) = -19*u**4 + 6*u**3 + 6*u + 17. Let c(g) = -20*g**4 + 7*g**3 + 7*g + 17. Let r(j) = 6*c(j) - 7*i(j). What is the derivative of r(h) wrt h? 52*h**3 Let l(o) = o**3 + 9*o**2 - 29. Let v(b) = -2*b**2 + 7. Let j(r) = -2*l(r) - 9*v(r). Find the first derivative of j(u) wrt u. -6*u**2 Let m(o) be the first derivative of o**6/120 - o**3/6 + 3*o**2/2 - 3. Let a(z) be the second derivative of m(z). What is the first derivative of a(v) wrt v? 3*v**2 Let z(f) be the first derivative of f**7 + 2*f**3/3 - 7. What is the third derivative of z(g) wrt g? 840*g**3 Suppose 3*k = 5*v - 26, 3*v + k - 8 = -k. Suppose w = -v, 0 = 2*l - l + 5*w + 18. What is the second derivative of x + 4*x - l*x**4 - 4*x wrt x? -24*x**2 Let h(u) = u**2 + u - 1. Let n(p) = 14*p**2 + 2*p - 9. Let s(i) = -2*h(i) + n(i). Find the first derivative of s(t) wrt t. 24*t Let j = 8 + -5. What is the derivative of -c**j - 4 + 3*c - 3*c wrt c? -3*c**2 Let o(m) be the first derivative of -39*m**5/5 - 9*m - 14. Find the first derivative of o(j) wrt j. -156*j**3 Let u = 5 + 1. What is the third derivative of -6*i**2 + 7*i**2 - i**6 + i**2 - 6*i**u wrt i? -840*i**3 Let k = 14 + -13. Let o(p) = -3*p**3 + 4*p**2 - 4*p - 3. Let h(x) = -x**3 + x**2 - x - 1. Let s(q) = k*o(q) - 4*h(q). Differentiate s(j) with respect to j. 3*j**2 Let f(l) = 67*l**2 + 12. Let c(t) = 22*t**2 + 4. Let q(h) = -8*c(h) + 3*f(h). Differentiate q(o) with respect to o. 50*o Let o = -7 - -9. Differentiate -4*g - o*g + 2*g + g + 2 wrt g. -3 Let q(i) = -4*i + 1. Let t(j) be the third derivative of -13*j**4/24 + j**3/3 + 2*j**2. Let u(w) = 7*q(w) - 2*t(w). Differentiate u(g) with respect to g. -2 Let z(i) be the third derivative of 2*i**5/15 + 17*i**3/6 - i**2 - 5*i. Differentiate z(o) wrt o. 16*o Let f(w) = -4*w**3 + 5*w**2 + w. Let s(d) = -2*d**2 + 4*d**3 - d - 2*d**3 + 0*d**2. Let a(b) = -2*f(b) - 5*s(b). Find the second derivative of a(z) wrt z. -12*z What is the third derivative of -15*j**2 + 617*j**6 - 627*j**6 - 10*j**2 wrt j? -1200*j**3 Suppose 10 = 5*f + 40. Let p = -4 - f. What is the second derivative of 0*z**p + 2*z**2 + z**2 + z wrt z? 6 Let i(g) = -2*g - 2. Let o be i(-2). What is the first derivative of o + 2*c - 3*c - c wrt c? -2 What is the second derivative of -3*k**2 - 5*k + 4*k**4 - 7*k + 3*k**2 wrt k? 48*k**2 Let m(h) = 2*h**3 - 15*h**2 - 5*h. Let v(a) = -a**3 + 8*a**2 + 3*a. Let g(q) = 3*m(q) + 5*v(q). What is the third derivative of g(p) wrt p? 6 Let v = 9 + -5. Differentiate -2 + v*i**2 - 2*i**2 + 0 - 5*i**2 wrt i. -6*i Let w(l) = 41*l**4 - 5*l**2 - 31*l. Let b(o) = o**2. Let q(f) = -5*b(f) - w(f). What is the second derivative of q(x) wrt x? -492*x**2 Let t(a) be the second derivative of a**7/840 + a**5/40 - a**3/3 - 3*a. Let i(x) be the second derivative of t(x). What is the second derivative of i(w) wrt w? 6*w Let r(p) be the third derivative of 49*p**5/60 + p**4/24 + 4*p**3 + 28*p**2. What is the first derivative of r(m) wrt m? 98*m + 1 Let p(q) = 5*q**4 + 2*q + 5. Let f(b) = 0*b + 0*b - 9*b. Let w be f(3). Let k(s) = -66*s**4 - 27*s - 66. Let t(v) = w*p(v) - 2*k(v). Differentiate t(r) wrt r. -12*r**3 Let y(q) be the second derivative of -q**2 + 0 - 3/20*q**5 + 2*q + 0*q**4 + 0*q**3. What is the first derivative of y(k) wrt k? -9*k**2 Let w(a) be the first derivative of -6*a**5/5 + 17*a**2/2 + 18. What is the second derivative of w(b) wrt b? -72*b**2 Let j(k) be the second derivative of -2*k**6/15 + 7*k**3/6 + 2*k. Find the second derivative of j(n) wrt n. -48*n**2 Let v(q) = 1 + q + q**5 + q**4 + 6*q**3 - 2*q**3 - 4*q**3. Let z(l) = -3*l**4 - 13*l - 3. Let h(t) = 3*v(t) + z(t). What is the second derivative of h(x) wrt x? 60*x**3 Let f be 3/(-12) + 3/12. Suppose 2 = b - f*b. What is the third derivative of 5*k**5 - 4*k**5 - k**b - k**2 wrt k? 60*k**2 Let b = 63 + -377/6. Let p(m) be the third derivative of 2*m**2 + 0 - 1/60*m**5 + 0*m + 0*m**4 + b*m**3. Find the first derivative of p(j) wrt j. -2*j Let x be (-50)/6 - (-1)/3. Let g be ((-6)/4)/(4/x). Differentiate -g + 2*z**3 + 2*z**4 + 2*z**3 - 4*z**3 wrt z. 8*z**3 Let s(u) be the first derivative of -6*u**6 + 2*u**3/3 + u - 13. What is the third derivative of s(c) wrt c? -2160*c**2 Let n(o) be the first derivative of -34*o**5/5 - 20*o + 29. What is the derivative of n(f) wrt f? -136*f**3 Let g(s) be the second derivative of 2*s**6/15 - 2*s**3 - 24*s. What is the second derivative of g(n) wrt n? 48*n**2 Let g(b) = b**3 + b**2 + b - 1. Let q(v) = -47*v**3 - 3*v**2 - 3*v + 22. Let r(h) = 3*g(h) + q(h). Find the first derivative of r(l) wrt l. -132*l**2 What is the derivative of -9*l + 3*l - 4 + 4 - 3 wrt l? -6 Suppose 0*l = 3*l - 9. What is the second derivative of 6*c + 2*c**3 + c**3 - l*c wrt c? 18*c Let a(c) = 23*c**3 - 11*c**2 + 11*c - 2. Let z(r) = 8*r**3 - 4*r**2 + 4*r - 1. Let x(q) = 4*a(q) - 11*z(q). What is the derivative of x(i) wrt i? 12*i**2 Let x(r) be the second derivative of 3*r**2 + 6*r + 0 + 0*r**4 + 0*r**3 + 0*r**5 + 1/30*r**6. Differentiate x(i) with respect to i. 4*i**3 Let m(q) = -q**2 - 20*q - 33. Let c be m(-18). Let x be (14/8 - 1)*4. What is the derivative of -5*o + 5*o + c*o**2 - x wrt o? 6*o Let y(b) be the third derivative of 3*b**7/35 + b**5/6 + 17*b**2. Find the third derivative of y(d) wrt d. 432*d Let w(c) be the second derivative of c**8/2240 - c**6/360 - c**4/4 - 4*c. Let z(j) be the third derivative of w(j). Find the second derivative of z(k) wrt k. 18*k Let j = -12 + 20. What is the derivative of 4*w - 3 + j + 2 wrt w? 4 Suppose -3*q + 7*q = 52. Let i = q - 7. What is the third derivative of 3*t**6 + t**i + 0*t**2 - 5*t**6 - 2*t**2 wrt t? -120*t**3 Let k(p) = -17*p**4 - 24*p. Let y(f) = -25*f**4 - 36*f. Let s(z) = -8*k(z) + 5*y(z). Find the second derivative of s(j) wrt j. 132*j**2 Let h(f) = 10*f**2 + 4*f - 123. Let a(c) = -7*c**2 - 3*c + 82. Let t(o) = 7*a(o) + 5*h(o). Differentiate t(l) with respect to l. 2*l - 1 What is the second derivative of 7*t + 0 + 1 - 1 - 9*t**2 wrt t? -18 What is the second derivative of 2*i - i**2 - 4*i**2 + 4*i**2 + 0*i**2 wrt i? -2 What is the second derivative of -37*a + 32*a - 5*a**4 - 2*a**4 wrt a? -84*a**2 Let g be 5*(-3)/5*-1. Find the second derivative of -g*r**4 - 2*r + 6*r - r wrt r. -36*r**2 Let u(r) = 7*r**4 + 5*r**3 - 5*r + 8. Let l(f) = 7*f**4 + 6*f**3 - 6*f + 9. Let x(g) = 5*l(g) - 6*u(g). What is
{ "pile_set_name": "DM Mathematics" }
-18, -2/9, 1? 1 Which is the nearest to 0.4? (a) -2.35 (b) 3 (c) 2 (d) 1/17 d What is the closest to -3/7 in -22, -4, 0.1, 289/2? 0.1 What is the nearest to -1/9 in -2, 0.2, 4/3, -0.2? -0.2 What is the closest to -1/4 in 1, 3, 1/6, 15? 1/6 Which is the nearest to 0? (a) -3/49 (b) 3 (c) -0.6 (d) 5 a What is the closest to -30 in -1/6, 3/4, -3, -1/4, 15? -3 What is the nearest to -0.2 in 251/4, 11.6, 0.2, -3? 0.2 Which is the closest to 0.08? (a) 18/5 (b) -2/9 (c) -5 b What is the closest to 1 in 1387/4, 6, 0.4? 0.4 What is the nearest to -1.1 in -138, 2/3, 0.7? 2/3 Which is the closest to 14.1? (a) -0.4 (b) -2 (c) -0.5 (d) 12 d What is the closest to -2 in -3, -0.22, 1/7, -2/23, -4/5? -3 Which is the closest to 0.2? (a) -3 (b) 2 (c) 1/8 (d) 6 c Which is the closest to 0? (a) -2/27 (b) -175 (c) 0.4 (d) -2/15 (e) -4/13 a What is the nearest to -372 in 6, -2, -2/5? -2 Which is the nearest to 1/4? (a) 2 (b) -0.1 (c) 45931/5 (d) -2 b What is the closest to -2 in 0, 4, -3, -2/541? -3 What is the closest to -2/3 in -2/9, 6, -0.3, -6/161, -2/3? -2/3 What is the closest to -7 in 14, -74, -0.1? -0.1 What is the nearest to -0.1 in 5, 1773, -8? 5 What is the closest to 128 in -4, -2/9, -1? -2/9 What is the nearest to 1 in -2, 2, 645, -4, -0.5? 2 What is the nearest to -2/5 in -4, -1/4, 796, 1? -1/4 What is the closest to -0.1 in 3/7, 3/2, -820? 3/7 Which is the nearest to -9? (a) -1/3 (b) -2/47 (c) 1/4 (d) -11/2 (e) 1/7 d Which is the closest to -2? (a) 6 (b) -2089 (c) -1/3 c What is the closest to -0.6 in -3, 8.78, 2/5, 1/2? 2/5 What is the nearest to -1 in 3/2, -2/13, 5, 0.13? -2/13 What is the nearest to 1/5 in 0, 4, 38.24, -0.5? 0 Which is the closest to -1? (a) 6 (b) -3 (c) 3/50 (d) 4 (e) -22 c Which is the closest to 0.9? (a) 0.5 (b) -355 (c) -26 a Which is the closest to 27? (a) -14 (b) 0.5 (c) 2/11 b What is the closest to 356 in 3, 2, -0.4, 0.3? 3 What is the closest to -0.2 in -14/5, -0.1, -0.575? -0.1 What is the closest to 3 in -0.14, 3.2, 2? 3.2 Which is the nearest to -0.03? (a) -2 (b) 11 (c) 0.1 (d) -5 c What is the nearest to -5258 in 5, -1/8, -4/3? -4/3 Which is the nearest to -2? (a) 6 (b) -11 (c) 7.6 (d) -4 d What is the closest to -0.2 in -2/389, -2/7, 1, -0.1? -2/7 What is the nearest to -2/17 in 14, 2, -0.36? -0.36 What is the closest to -4/113 in 0.3, 0.87, 1/3, 0.2, -3/7? 0.2 What is the nearest to 0.1 in 3/4, -2/11, -2/33, -0.3? -2/33 Which is the nearest to 2? (a) 5 (b) -0.4 (c) 2/5 (d) 2989 c Which is the closest to 0? (a) -3/20 (b) -3.9 (c) 5 a Which is the closest to 2/7? (a) -8 (b) -0.3 (c) 0.3 (d) 4/5 (e) 2/23 c Which is the closest to 199? (a) -2 (b) 0.2 (c) -8 b Which is the closest to -2/7? (a) -3 (b) 1 (c) -3/7 (d) -542 c Which is the closest to -1000? (a) 5/4 (b) -3/8 (c) -2/3 c Which is the nearest to -1/2? (a) -0.1 (b) -4/3 (c) 12 (d) -16 (e) -1 a What is the closest to 427 in 0.3, -5, -3, -2, -11? 0.3 Which is the closest to -20/11? (a) 2 (b) 4 (c) 0.04 (d) -0.002 d Which is the closest to -3/4? (a) 0.09 (b) 0.3 (c) -3 (d) 29/7 (e) 3 a Which is the nearest to 0.1? (a) -12/11 (b) -2/5 (c) -5 (d) -23 (e) 0.1 e What is the nearest to -32 in -3, 1, -1.903? -3 What is the closest to 3/5 in 3/2, 1, -2/15, 0.74, -1? 0.74 Which is the nearest to 2? (a) 3.11 (b) -4 (c) -17 a Which is the closest to 0? (a) -3/5 (b) 5 (c) 7 (d) -2 (e) 3 a What is the nearest to -6 in -5, 0.1, -1, -25320, 3? -5 Which is the nearest to -1? (a) 0.3 (b) 0.02 (c) 6/11 (d) 0.079 b Which is the nearest to -1/6? (a) -2/9 (b) -85 (c) -12 a Which is the closest to -1? (a) 8583 (b) -0.1 (c) 31 b What is the nearest to -0.1 in 1/41, 368, 0.05? 1/41 Which is the closest to -2? (a) 555 (b) 3 (c) -2/7 (d) 4 c What is the nearest to 0.3 in 2, 2/7, 97, 37? 2/7 Which is the nearest to 337? (a) -2/47 (b) 1 (c) -2 b What is the closest to 0 in -247, -2/5, 1, -3? -2/5 What is the nearest to 0 in -4, -16, -21.1, 0.5? 0.5 Which is the nearest to 8? (a) -5/6 (b) 1/4 (c) -44 (d) -5/3 (e) 5 e Which is the closest to -11? (a) 0 (b) -7/4 (c) -2/7 (d) 0.7 b Which is the closest to 2/7? (a) -0.73 (b) 0.3 (c) 0.248 b Which is the closest to 1? (a) 2 (b) -2 (c) -8206 (d) -5 a Which is the nearest to 0.081? (a) 2/7 (b) 1/2 (c) -877 a What is the nearest to -1 in -0.3, -0.5, -9, -10, -5? -0.5 What is the closest to -2 in 2/3, -0.04, 1/3, 0.3? -0.04 Which is the nearest to 0? (a) -0.5 (b) -378 (c) 1/43 (d) -2/11 (e) -2/31 c Which is the nearest to -4.31? (a) 3/4 (b) -3/4 (c) -15 b What is the nearest to 1 in 5, 1/6, -9, 1/27? 1/6 What is the closest to -1/361 in 13, -2/5, -1? -2/5 Which is the nearest to 2/23? (a) -1/4 (b) -2 (c) 3/10 c Which is the closest to 0.1? (a) 0.18 (b) -5 (c) 0 (d) 3/11 a Which is the closest to -4/11? (a) 0.3 (b) -28 (c) -32 a What is the closest to 6.8 in 2, 0.3, -10, 1/5? 2 What is the nearest to 28184 in -0.4, -0.1, -2? -0.1 Which is the nearest to 0.05? (a) 883 (b) 4 (c) -3/4 (d) 1 (e) 0.4 e Which is the nearest to -0.2? (a) 2 (b) -2323.05 (c) 3 a What is the nearest to -0.2 in -6, -0.42, 0.4, 1? -0.42 Which is the nearest to -3/5? (a) 0.4 (b) -0.1 (c) -1/5 (d) 13/6 c Which is the closest to -2? (a) 3 (b) 2/15 (c) 32 (d) 2 b Which is the closest to 6? (a) -6357/10 (b) -4 (c) -1 c What is the closest to 3 in 5, -5, -17790? 5 Which is the nearest to -1? (a) 10 (b) 469 (c) 1/6 (d) -1 d Which is the closest to -0.06? (a) -3/19 (b) 2/7 (c) 11 a Which is the closest to -9.8? (a) 0.07 (b) 0.4 (c) -2 (d) 78 c What is the closest to 167414 in -2, 0.3, -5? 0.3 What is the nearest to 0.3 in -0.65, 0.4, 2, 5? 0.4 Which is the closest to 0? (a) 0.4 (b) 0.2 (c) 1/3 (d) 0 (e) -1.1989 d Which is the nearest to 1? (a) -1/4 (b) 0.018 (c) 3 (d) -4 b What is the nearest to -1 in 0, -0.1, 3.489, -11? -0.1 Which is the nearest to -5/6? (a) 0.1 (b) -495 (c) 2/13 a Which is the closest to -1? (a) 0 (b) 0.4 (c) 4 (d) 0.2 (e) -422 a What is the closest to -27 in 111, -4, 2, 0.4, -0.3? -4 What is the nearest to 1/3 in 2/7, -4, 5/4, 0.0371? 2/7 What is the closest to -1/4 in -2032, 1.1, 4, -2, 4/7? 4/7 Which is the closest to 2? (a) 5 (b) -14/9 (c) -0.246 (d) 1 d Which is the closest to -10? (a) 3 (b) 0.1 (c) 8 (d) 4 (e) 1/11 e Which is the nearest to 0? (a) -0.31 (b) 2 (c) -2.66 a What is the closest to 1/3 in 1, -280, -2? 1 Which is the closest to 626? (a) 3/4 (b) 0.4 (c) 45 c What is the closest to 476 in 0.3, 1/4, 5/6? 5/6 What is the nearest to 3/2 in -7/4, 0, -1? 0 Which is the nearest to -5? (a) 0.12 (b) -5 (c) 2/5 (d) 1/4 (e) 36 b Which is the closest to 1/95? (a) 51 (b) -2 (c) -3/5 (d) -0.14 d Which is the closest to -3? (a) 0 (b) -1381 (c) -2 (d) 8/7 c What is the closest to -4/13 in 0.5, -1/6, 19, 4, 1/382? -1/6 Which is the nearest to 50? (a) -5 (b) 1/3 (c) 3 (d) -6 c What is the nearest to 36 in 6/5, 1/3, -14? 6/5 What is the closest to -418 in -2/39, -4, -0.9? -4 What is the closest to -7 in -2/5, 4/3, 4, -7/2, -0.5? -7/2 Which is the closest to -204? (a) -1/7 (b) 0 (c) -0.1 a What is the closest to 27/31 in 5, 0, 14, 2/7? 2/7 Which is the nearest to 1? (a) 3 (b) 18 (c) -2.3535 a Which is the nearest to 1? (a) -307 (b) 17/19 (c) -2/11 b What is the closest to -16/9 in 8/5, 2, -0.53? -0.53 What is the nearest to -54 in 4, 5, -18, 11? -18 What is the closest to 11 in -3, -5, -773, 3? 3 Which is the nearest to 0.2? (a) -334 (b) -17 (c) -1 (d) -3 c Which is the nearest to -1? (a) -7 (b) -28 (c) -5 (d) -19 (e) -4/7 e Which is the nearest to 0.2? (a) -3 (b) 0.8 (c) 1381 b What is the closest to -1 in 3, -91, 3.2, -1? -1 Which is the nearest to -1/3? (a) -27 (b) 0.02 (c) 9.7 b What is the closest to 0.44 in -0.5, -0.2, -102/5? -0.2 Which is the closest to 2? (a) 4 (b) 0.07774 (c) 6 b Which is the nearest to 8.8? (a) 2 (b) 2/14173 (c) 3 c What is the nearest to -16 in -72, -2, 2, -0.3, 28? -2 Which is the nearest to 1? (a) -3080 (b) -4 (c) 1/3 (d) 43 c What is the closest to -22 in 0.1, -0.3, 1, 1/25, 1/5? -0.3 What is the closest to 0.8 in 2/15, -41, -6? 2/15 Which is the nearest to 0.06? (a) 1/5
{ "pile_set_name": "DM Mathematics" }
6*j(i). 7*i + 1 Suppose 5*w - 100 = 4*m - 131, -2*m + 20 = -4*w. Let s(z) = -15*z + 1. Let d(q) = 7*q. Determine m*s(j) + 9*d(j). 3*j + 4 Let x(g) = -6*g**2 - 103*g + 27. Let n(y) = 3*y**2 + 52*y - 11. Calculate 5*n(p) + 2*x(p). 3*p**2 + 54*p - 1 Let a(l) = -7*l**3 - 3*l**2 - 2*l. Suppose -29*j = -2234 + 2321. Let q(i) = 34*i**3 + 14*i**2 + 10*i. Calculate j*q(g) - 14*a(g). -4*g**3 - 2*g Let z(c) = 14*c**2 - 18*c - 27. Let i(y) = -26*y**2 + 33*y + 53. What is 6*i(t) + 11*z(t)? -2*t**2 + 21 Let l(x) = 3*x**2 - 35*x - 93. Let b be l(14). Let g(w) = 33*w - 1. Let y(u) = -66*u + 2. Calculate b*g(v) + 3*y(v). -33*v + 1 Let z(j) be the third derivative of 91*j**5/60 + 13*j**4/24 - 13*j**3/6 - 1014*j**2. Let d(s) = 15*s**2 + 2*s - 2. Give 26*d(p) - 4*z(p). 26*p**2 Let t(x) = -2*x - 24. Let n(h) = -367*h + 58. Calculate n(v) + 3*t(v). -373*v - 14 Let y(s) = 92*s - 4. Suppose -5*z - 52 = -3*t, -28 = -276*t + 274*t + 2*z. Let o(v) = -23*v + 1. What is t*o(u) + 2*y(u)? -23*u + 1 Let p(i) = -8*i - 11. Let a(h) = -11*h - 59. Let n(b) = -2*b - 10. Let m(u) = -a(u) + 6*n(u). Calculate -18*m(l) + 2*p(l). 2*l - 4 Let f(s) = -4*s**3 + 5*s**2 + 22*s - 5. Let t(h) be the first derivative of h**4/2 - 2*h**3/3 - 11*h**2/2 + 2*h - 2146. Give 2*f(x) + 5*t(x). 2*x**3 - 11*x Let w(o) = 232*o + 11. Let n(i) = 619*i + 28. Let c(p) = 3*n(p) - 8*w(p). Let q(f) = -2*f + 7. Suppose 10 = -5*g + 5*h, 4*g + h + 8 = 3*g. Give g*c(r) - 3*q(r). r - 1 Let u(h) = h**3 - 223*h - 4. Let f(d) = 4*d**3 - 673*d - 11. Determine -4*f(o) + 11*u(o). -5*o**3 + 239*o Let v(k) = 3346*k - 241. Let q(w) = 1116*w - 69. Calculate -7*q(n) + 2*v(n). -1120*n + 1 Let b(d) = -3*d + 321. Let l(x) = 11*x - 1213. Let u(a) = -15*b(a) - 4*l(a). Let q(t) = t + 37. What is 6*q(j) - 5*u(j)? j + 37 Let r(u) = 8. Let i(b) = 4. Let l(d) = 5*i(d) - 2*r(d). Let c = -2911 + 2910. Let h(q) = -q. Calculate c*l(z) - 2*h(z). 2*z - 4 Let k(q) = 5*q**3 - 2*q. Suppose 4*x - 4 = -4*h, -18*x - 4*h = -23*x - 22. Let w(v) = -26*v**3 + v**2 + 11*v - 1. Determine x*w(j) - 11*k(j). -3*j**3 - 2*j**2 + 2 Let l(d) = -7*d**3 + 4*d**2 + 2. Let f(r) = -r**2 - 1. Suppose -1554*q + 1552*q = 2*n + 10, -4*n = q + 23. Give q*l(t) + 4*f(t). -7*t**3 - 2 Let j(n) = 3676*n + 194 - 3684*n - 202 - 9*n**2. Let t(z) = 6*z**2 + 5*z + 5. Let w(p) = p**3 - 6*p**2 - 6*p - 2. Let c be w(7). What is c*j(i) + 8*t(i)? 3*i**2 Let l(u) = 10900*u - 2000. Let s(x) = -3*x + 2. Give l(q) + 1000*s(q). 7900*q Let k(q) = 2*q**2 - 2*q + 2. Let p(l) = 2*l**2 - 3*l + 3. Let v be ((-40)/8)/((-2)/(-12) + 55/(-30)). Let z be (3 + 0)/(6/(-4)). What is v*k(w) + z*p(w)? 2*w**2 Let d(q) = -q**3 + q**2 - q + 1. Let t(a) = -4*a**2 - 194*a + 505. Let b be t(-51). Let r(f) = -6*f**3 + 5*f**2 - 10*f + 5. Give b*d(y) + r(y). -y**3 - 5*y Let y(p) = 9*p + 13. Let s(c) = -31*c + 1. Let f(i) = -116*i + 16. Let u(x) = f(x) - 4*s(x). Give 7*u(a) - 6*y(a). 2*a + 6 Let v(x) = 8*x**2 - 6*x + 36. Let z(l) = -7*l**2 + 5*l - 33. Determine 10*v(n) + 11*z(n). 3*n**2 - 5*n - 3 Let b(x) = x**3 + 4*x**2 + 7*x + 6. Let o(i) = -5 - 2*i - i**2 + 0 + 1 + 4 - 2. Let u = 378 - 371. Suppose -1 = r - 3. Calculate r*b(z) + u*o(z). 2*z**3 + z**2 - 2 Let w(s) = -59*s + 10. Let a(j) = -47*j + 8. Let r(y) = 5*a(y) - 4*w(y). Let d(z) = z**2 + 13*z. Suppose 0 = 4*h - 31 - 281. Give h*r(b) - 6*d(b). -6*b**2 Let l(f) = -16*f + 3. Suppose -94*i + 78*i + 64 = 0. Let v(n) be the third derivative of -5*n**2 + 0 - 1/3*n**3 + 0*n + 11/24*n**i. Determine 5*l(j) + 7*v(j). -3*j + 1 Let j(f) = 17*f - 19. Let u(l) = -4 - 3 - 2 + 8*l. Let n = 1305 - 1298. Suppose -n*v + 128 - 37 = 0. What is v*u(q) - 6*j(q)? 2*q - 3 Let p(h) = 2*h**2 + 2*h - 4. Let u(a) = a**2 - 12*a - 409. Let d be u(27). Let l(q) = -q**3 + q**2 + q - 1. What is d*l(j) + p(j)? 4*j**3 - 2*j**2 - 2*j Let s(z) = 8*z - 21. Let m be (47*6/24)/(2/(-8)). Let x = m - -45. Let w be 2*(x - -6) + 2 + -1. Let d(c) = 2*c - 5. Give w*d(b) - 2*s(b). 2*b - 3 Let a(b) = -7*b**2 + 217*b - 38. Let l(v) = 4*v**2 - 151*v + 25. What is 5*a(c) + 8*l(c)? -3*c**2 - 123*c + 10 Let w(o) = 5*o - 1. Let y(c) be the third derivative of -c**4/6 + c**3/6 + 5*c**2. Let g(d) = -d**2 - 149*d + 7565. Let f be g(40). Give f*w(b) + 6*y(b). b + 1 Let n(r) = 32*r - 12495. Let i(y) = -4*y + 1559. Give -17*i(u) - 2*n(u). 4*u - 1513 Let f(a) = -9*a + 333 + 297 - 623. Let m be 4/10 + 108/(-20). Let h(g) = -5*g + 4. Calculate m*h(k) + 3*f(k). -2*k + 1 Let q(x) = x**3 - x**2 + x. Suppose -37*b + o = -35*b + 5, -b = 4*o + 16. Let z(m) = 6*m**3 - 4*m**2 + m. Give b*q(f) + z(f). 2*f**3 - 3*f Let f(n) = -n**3 - n**2 + 2. Let m(q) = -20*q**3 - 360*q**2 + 24. Calculate -12*f(z) + m(z). -8*z**3 - 348*z**2 Let x(y) = 2120*y**3 + 2113*y**3 + 13*y + 2112*y**3 + 5 - 6363*y**3. Let r(h) = -27*h**3 + 20*h + 8. Determine -5*r(w) + 8*x(w). -9*w**3 + 4*w Let l be (-18)/4*16/24. Let x(z) = 4*z - 2. Let u(q) = q - 2*q - 178 + 179. Give l*u(k) - x(k). -k - 1 Let v(i) = -i + 1. Let h = -28136 + 28139. Let f(n) = 4*n - 7. Give h*v(w) + f(w). w - 4 Let y(o) = o**2 + o + 1. Let b = -20 + 17. Let h be 0*1/(-1) - 1. Let u(v) = -1. Let n(k) = -3*k - 7. Let a(m) = n(m) - 6*u(m). Calculate b*y(c) + h*a(c). -3*c**2 - 2 Let a(u) = -2*u + 4. Let v = -24 - -22. Let d be (4/(-1) - -4)/v. Let w(m) = -m + 4 + d + 1 - m. Give 6*a(k) - 5*w(k). -2*k - 1 Let w(s) = -3*s - 7. Suppose 4*y - 2*y - 2*z - 4 = 0, 2*y + 11 = 5*z. Suppose y*j - j = 564. Let m(n) = 46 - j - 4*n + 40. Calculate 4*m(a) - 5*w(a). -a + 3 Let o(p) = p + 327. Let v(y) = 216. What is -5*o(u) + 7*v(u)? -5*u - 123 Let g(j) = 3*j**3 - j**2 + 3. Let f(y) = -10*y**3 + 22*y**2 - 26*y - 12. Calculate -f(h) - 4*g(h). -2*h**3 - 18*h**2 + 26*h Let c(o) = 2*o**2 - 3*o - 51. Let s(a) = -5*a**2 + 7*a + 105. Calculate -7*c(n) - 3*s(n). n**2 + 42 Let q(v) = -45*v + 3744. Let g(d) = 101*d - 7489. What is -4*g(l) - 9*q(l)? l - 3740 Let x(d) = -98*d**2 - d - 3. Let k(z) = -292*z**2 - 3*z - 10. Determine -2*k(h) + 7*x(h). -102*h**2 - h - 1 Let p(t) = 6*t**2 - 2*t - 3. Let s(o) = 16*o + 1106. Let y be s(-69). Let q(d) = -13*d**2 + 4*d + 7. What is y*q(m) + 5*p(m)? 4*m**2 - 2*m - 1 Let f(j) = -3*j - 12. Let s(g) = 5*g + 17 + 3 + 35 + 28 - 60. Calculate 11*f(u) + 6*s(u). -3*u + 6 Let g(m) = -4*m**2 + 483*m - 5. Let q(z) = 2*z**2 - 233*z + 2. Give 2*g(o) + 5*q(o). 2*o**2 - 199*o Let f(w) = -4*w**2 - 2*w**2 + 3*w**2 + 2*w**3 - 5 + 6*w**2. Let p(m) = 5*m**3 + 6*m**2 - 11. Suppose 7*g = 18*g + 33. Determine g*p(l) + 7*f(l). -l**3 + 3*l**2 - 2 Let c(l) = l**2 - l - 1. Let q(n) = -10*n**2 - 195*n + 10. Determine 9*c(y) + q(y). -y**2 - 204*y + 1 Let h be (44/(-12)*-3)/1. Let g(n) = -11 - 25*n**3 + 15*n**3 - h*n - 36*n**3. Let z(p) = -9*p**3 - 2*p - 2. Determine -2*g(w) + 11*z(w). -7*w**3 Let b(f) = -f + 2. Let m(l) = 663*l - 9. Give -2*b(i) - m(i). -661*i + 5 Let w(q) = q**3 + 2*q**2 - 1318*q + 2. Let g(r) = -r**3 - 5*r**2 + 2630*r - 5. What is 2*g(z) + 5*w(z)? 3*z**3 - 1330*z Let n(u) = -2*u**2 + 7. Let d(r) = 2*r**2 + r - 6. Let f be (-14)/84 - 93/(-18). Calculate f*n(y) + 6*d(y). 2*y**2 + 6*y - 1 Let y(p) = 1408*p**2 - 9*p + 81. Let x(z) = -1407*z**2 + 10*z - 90. What is 9*x(u) + 10*y(u)? 1417*u**2 Let g be ((-44)/(-8) + -2)*(-2 - -4 - 104). Let v(x) = -945*x**3 + 119*x**2 - 119. Let b(i) = 16*i**3 - 2*i**2 + 2. Determine g*b(z) - 6*v(z). -42*z**3 Let c be (-190)/(-304) + (-6)/(-16). Suppose 0 + c = -k. Let b(d) = d. Let g(j) = 13*j. Give k*g(m) + 6*b(m). -7*m Let f(s) be the first derivative of -11*s**3/3 + s**2 - 2*s + 491. Let x(b) = 22*b**2 - 4*b + 5. Calculate 5*f(v) + 2*x(v). -11*v**2 + 2*v Let t(d) = -d**3 - 5*d - 89. Let p(c) = -c**3 - 4*c - 89. Give -5*p(f) + 4*t(f). f**3 + 89 Let l(y) = -7*y + 7. Let p(s) = -2*s + 1. Let r(c) = -13*c + 8. Let j(k) = 7*p(k) - r(k). Calculate 2*j(a) - l(a). 5*a - 9 Let a(r) = 24*r + 20. Let y(b) = -2*b + 9. What is -a(g) - 2*y(g)? -20*g - 38 Let p be (6/(-18)*-3)/(2/(-12)). Let f(j) = -3*j**3 + 6*j**2 + 6. Suppose 52*o - 26*o = -26. Let r(g) = -g**2 - 1. Determine o*f(c) + p*r(c). 3*c**3 Let p(z) = 355*z - 15. Let w(f) = 356*f - 23. Calculate -3*p(t) + 2*w(t). -353*t - 1 Let m(v) = -v - 60. Let t(g) = -1. Calculate m(l) + 7*t(l). -l - 67 Let j(o) be the first derivative of o**4/4 + 2*o**3/3 + 4*o**2 - 2*o - 1865. Let d(s) = s**3 + 5*s**2 + 17*s - 5. Giv
{ "pile_set_name": "DM Mathematics" }
Evaluate (-2)/12*(0 + -1). 1/6 What is the value of 246/36 - 5 - 1/2? 4/3 What is (-45)/10 + 5 - (-3)/(-12)? 1/4 ((6 - 8)/(-5 - 1))/2 1/6 Calculate (69/9 - 3)*(-27)/18. -7 Calculate 5 - (-98)/(-9) - -6. 1/9 Evaluate (-1544)/(-579)*(-4)/((-4)/3). 8 Evaluate (-2544)/(-528) + (-5)/1. -2/11 What is ((-62)/217)/(15/21)? -2/5 4/6 + -1 - 475/(-975) 2/13 3/(-15)*-7 + (-21)/(-35) 2 ((-63)/(-42))/(6/16) 4 Calculate 1 + (850/120 - 8). 1/12 Calculate (-2)/8 + (0 - 21/28). -1 14 + 13 + -22 + 5 10 What is 1 - (-2)/(-1) - 0? -1 (1 - -4)/(10/16) 8 Evaluate (-3)/36 + 4/12. 1/4 What is the value of 2/7 + (-1 + 4)/63? 1/3 Evaluate 0 - ((-66)/14 + 2/(-7)). 5 (160/(-126))/(-8) - (-8)/28 4/9 What is the value of -10 - -2*(-110)/(-20)? 1 What is (-2)/(-40)*6*(-5)/(-2)? 3/4 24/20*(-3)/(-9)*-10 -4 What is ((-134)/(-402))/((-1)/1)? -1/3 What is the value of (2 - 48/15)/((-12)/40)? 4 Calculate (-3)/(-15) + (-1)/10*-28. 3 Calculate (-9)/(-4)*(-144)/54. -6 What is ((1 - 1) + 14/(-14))*-2? 2 What is 280/42 - (-14)/(-2)? -1/3 Evaluate 2 + (-2)/1 - 16/(-36). 4/9 (-1 + 3)*(680/(-16))/17 -5 What is the value of (-9*8/144)/((-7)/2)? 1/7 What is the value of (-10)/(-95) - (296/(-76) - -8)? -4 What is ((-68)/12 + 5)/((-2)/9)? 3 What is the value of ((-1 - -2) + -2)*(-8)/(-10)? -4/5 What is the value of (-222)/(-999) + 32/18? 2 What is the value of -2*((-8)/(-60) + 17/(-15))? 2 What is the value of 5 + (-858)/121 - -2? -1/11 What is the value of (-15)/72 - (-39)/104? 1/6 Calculate (94/9)/(-2) + (-12)/(-54). -5 Calculate (-69)/(-15) + 4/10. 5 (-880)/18942 + 4/(-82) -2/21 Calculate -2*(5 - 7) - (1 - 2). 5 2/((-16)/(-6)) - 8/8 -1/4 (-51)/(-4) - 5 - 8 -1/4 What is the value of 90/(-21) + -8 + 12? -2/7 -1*(18/(-81) + 6/270) 1/5 What is the value of (-6 - 0/6) + 2? -4 (-12)/(-28) - 19/((-266)/36) 3 What is the value of 4 - (-2 - 0)*2? 8 Evaluate (4/8)/((-1)/6). -3 (5 + -3)*(-4)/(-11)*11 8 What is the value of 14/(-10) - -1 - (-6)/10? 1/5 Evaluate 45/18*24/15. 4 Evaluate ((-3)/66 - 0)/((-20)/(-80)). -2/11 Evaluate (0/(-1) - -5) + (-1 - 3). 1 What is -5*(-2)/(-48)*44/(-55)? 1/6 8/(-5)*(-30)/(-12) -4 Evaluate ((-14 - -7) + 12)*4/(-5). -4 3*16/60 + 368/(-360) -2/9 Evaluate (-4)/5*(-80)/224. 2/7 What is (8/(-20)*-5)/11? 2/11 11 - 1 - (29 + -25) - 1 5 Evaluate -4*45/(-18) + 5/(-1). 5 What is the value of (35/(-14) + 3)/(3/(-12))? -2 What is the value of 7 + (-2 + 0 - 0)? 5 (-35)/(-7) - (12 + -5) -2 What is (11/(-22))/(2/20)? -5 Calculate 20/28 + 8 + -9. -2/7 Evaluate (4 + 16/(-3))*3*-1. 4 What is the value of (-30)/(-9) + (-1 - (-15)/9)? 4 Evaluate 1/(-12)*1168/1022. -2/21 Evaluate (-1 + 12/7)*(-8)/20. -2/7 Evaluate (-1 - (-115)/110)*11. 1/2 Calculate 7 + (-1 - 3) + (-5 - -9). 7 Evaluate ((-2)/(-4))/(26/208). 4 Calculate (42/(-24) + 2)*-8. -2 What is 1/(1/(-2)*-2)? 1 Evaluate 8/36 - 14/(-18). 1 What is the value of (120/(-16) + 6)/(-17 - 1)? 1/12 Calculate (-30)/56 - (-20)/70. -1/4 What is the value of -8 - (-7)/(-5 - -12)? -7 Calculate (-10)/(-4) + (-2)/4. 2 Calculate (-4)/((-36)/99) + -8. 3 What is the value of (-10)/(-45) - (-96)/(-189)? -2/7 (-4 - -7) + -16 + 9 -4 Evaluate ((-12)/(-3))/12 - (-8)/(-6). -1 Calculate -3 + (-6)/27 + (-134)/(-36). 1/2 What is (-2)/6*-15*12/15? 4 Evaluate (-130)/(-150) - 1/1. -2/15 Evaluate 518/63 - (4 - -4). 2/9 Calculate (120/(-75) + 1)/(9/(-30)). 2 4/26 - 228/(-39) 6 What is the value of (-3)/(-5)*8*(-11)/396? -2/15 (-10 - 20/(-2))/1 0 What is the value of 0 + 6 + -12 - (-288)/40? 6/5 (-32)/(-24)*(-1)/(-4) 1/3 What is the value of (49/(-24) + 2)*(0 - 2)? 1/12 What is the value of (-6)/(-4)*(5 + (-300)/36)? -5 What is the value of (-2)/(26/169 + (-24)/(-13))? -1 Calculate (1/(-12) + 0)*(-60 - -52). 2/3 What is 23/(-39) + (-248)/(-372)? 1/13 Calculate (-6 + 3 - -5)/(1/2). 4 What is the value of ((-21)/(-36) - (-1)/(-4))*9? 3 Calculate 10/(-3)*((-513)/(-18))/(-19). 5 What is (3/(-3))/(8/40)? -5 What is the value of (2/(-6))/(-7 - 176/(-24))? -1 What is 75/25*-1*(-2)/(-2)? -3 What is (-440)/100 - (60/25)/4? -5 What is (1 + 4/(-12))*(-1 - 0)? -2/3 Evaluate ((-3)/15)/(15/(-45)). 3/5 What is the value of 3/1 + -3 + 4? 4 Calculate (4 - (-30)/(-8))*(3 - 8). -5/4 Calculate -9 - -16 - 34/5. 1/5 1/3*-1*57/(-38) 1/2 Evaluate (4/(-4))/(3 - -2 - 0). -1/5 What is the value of (8/(-32))/(-9 - -7)? 1/8 What is 0/(-5 + 2) - 4/10? -2/5 What is the value of 1 + -1 - 5*(-96)/60? 8 (-54)/(-84)*(2 - (-24)/(-9)) -3/7 Evaluate (-3)/(-12) - ((-148)/(-32) - 4). -3/8 49/4 + (-11 - 4) -11/4 -1 - (2 + (-28)/12) -2/3 What is the value of -4 + 11/(121/22)? -2 What is (-12)/(-6)*(33/6 + -7)? -3 ((40/(-15))/(-8))/((-9)/135) -5 ((-92)/(-50) + -2)*(-23)/46 2/25 What is the value of 3 + 1 - ((-9)/3 + 3)? 4 Evaluate (-1 + 10)/(8 - (-5)/2). 6/7 Evaluate (-4)/(-2) - (-24)/(-13). 2/13 What is the value of 136/32 + -4 + 34/(-40)? -3/5 ((-11)/22)/((-2)/44) 11 ((-5)/(-25))/(1 - (-46)/20) 2/33 Calculate -3 + (44/16 - 0). -1/4 Calculate (-32)/28*(-1)/16*-4. -2/7 What is (66/(-231))/((-9)/(-7))? -2/9 8/(-128)*-16*(-5 + 1) -4 Calculate 5/3 - (-16)/12. 3 5/21 + (176/(-56) - -3) 2/21 What is the value of 228/54 - 4 - 2/36? 1/6 Calculate 12/54 - ((-158)/(-63) - 2). -2/7 What is (3/(-114))/(1/4)? -2/19 What is ((-77)/(-11) - 8) + (-64)/(-60)? 1/15 What is (4/(-18)*3)/(-2)? 1/3 ((-1)/7)/((-19)/(1596/36)) 1/3 Evaluate (-3 + 3/(-3))/(-18). 2/9 What is the value of (-2)/(-240)*5*1*3? 1/8 What is the value of ((-4)/(-12))/(86/24 + -4)? -4/5 What is the value of 4/15*((-19)/6 + 4)? 2/9 Calculate (-52)/(-88) + 14/(-154). 1/2 Calculate 87*(-12)/126 - -8. -2/7 What is the value of (5 + (-195)/35)/(4/(-14))? 2 (5/1)/(-20)*-4 1 Calculate (-2)/(30/7)*(-164)/(-574). -2/15 What is the value of 90/27*(-16)/(-80)? 2/3 Calculate ((-10)/8 + 1)/((-90)/60). 1/6 Calculate 60/660 - (-3)/(-33). 0 Evaluate (-3)/(-1) - (-1)/(2 - 3). 2 What is the value of ((-1)/11*0)/(-2 + 5)? 0 (-14 - 24/(-3))*5/195 -2/13 Evaluate (4/(-6))/((-28)/(-12)). -2/7 What is 80/72*(-3)/5? -2/3 -2*39/10 + 5 - -3 1/5 4/(-6)*15 + 4 -6 What is 2/((-14)/35)*-1? 5 What is 67/17 - (-2)/34? 4 What is the value of (36/144)/(1/2)? 1/2 Evaluate 8/(-9)*549/(-122). 4 Evaluate (0 + 1)*1*10/(-15). -2/3 Evaluate (-16 + 17)/(1*(1 - 0)). 1 11/(-7) - 45/105 -2 Calculate 315/(-1755) + (-2)/13. -1/3 What is the value of (27/(-45) - -1)*-20? -8 Calculate (2/(-3))/(((-64)/24)/8). 2 6 + -2 - (17 + -16) 3 (41/287)/(30/(-63)) -3/10 Calculate 995/(-2786)*(7/5 - 1). -1/7 What is the value of ((-2)/6)/(-2 + 22/12)? 2 72/(-27) - (-2 + (-1 - -1)) -2/3 Evaluate ((-1134)/(-45))/7 - 4. -2/5 What is the value of 39/(-39) + -1 + -7 + 2? -7 (5/((-100)/8))/((-17)/(-5)) -2/17 Calculate 4 + (-1)/(-3) + -4. 1/3 What is the value of (2/1)/((-3)/(-24)*4)? 4 What is the value of 57/36 + 1*9/(-36)? 4/3 Evaluate 1410/4785 - (-12)/174. 4/11 What is the value of (-2)/11 - (-11 + 2436/154)? -5 52/(-39)*((-13)/4 + 3) 1/3 2/(-10) - 105/350 -1/2 Calculate 0 - 2 - (1 + -4). 1 Evaluate (9/(-6))/((-2)/4). 3 Evaluate ((-12)/2 - -3)/(9/(-2)). 2/3 114/950*5/3 1/5 Calculate -1 - 27/5 - 2/(-5). -6 What is 1/((-7 - -7) + -1)? -1 What is the value of ((-2)/8 + 30/24)/7? 1/7 What is (-10)/(15 + -5) - 4/(-6)? -1/3 Evaluate (13/((-156)/8))/((-2)/(-12)). -4 What is -7 + -4*((-36)/16)/3? -4 ((-5)/(-40))/((-2)/(-3 - -7)) -1/4 Calculate 31/3 - (22 - 13). 4/3 What is -4 + -4*33/(-36)? -1/3 Evaluate 67/8 - 15*(-22)/(-880). 8 What is (235/141)/(((-25)/(-18))/(-5))? -6 What is the value of 1/3*1*(-48)/(-28)? 4/7 Evaluate (-3)/(-1)*(2 - -6)/96. 1/4 What is the value of (3 - 1) + -14*14/(-98)? 4 (3/(-54) + 0)*3 -1/6 What is 0/(10/15*3)? 0 (-8)/14*(-16 - (-53)/2) -6 Evaluate (-13)/(-7) - (-16)/112. 2 What is the value of (120/(-9))/(-5) + -3? -1/3 What is the value of 53/(-53)*2/4? -1/2 Calculate (15/6 + -3)*14/(-77). 1/11 Calculate ((-1)/7)/((-12)/36). 3/7 Calculate ((12/(-21))/(4/(-14)))/1. 2 Calculate (-32)/48*((-27)/2)/9. 1 Calculate (-6)/(-4)*14/(-21). -1 What is the value of (-2)/12 - 23/6? -4 What is ((-2)/(-4))/(((-42)/(-12))/(-7))? -1 Evaluate (6/3 - -3) + 7 + -6. 6 Calculate (-5)/(-6 - -5) + -5. 0 What is (-13)/(26/4) - -1*4? 2 (-76)/(-57)*-5 - (-4)/6 -6 What is (-1)/((-91)/14 - -4)? 2/5 What is the value of 2/32 - (-3417)/(-2448)? -4/3 3/(8/(80/15)) 2 What is 2 - (13/((-13)/(-10)))/2? -3 (255/27 - 12) + (-4)/9 -3 Wha
{ "pile_set_name": "DM Mathematics" }
Expand ((-1 - 2 + 1)*(-a - a + 4*a) - a + a - a)*(-a**2 - a**2 + 3*a**2)*(1 - 2*a - 1). 10*a**4 Expand (0*v + v + 0*v)*((1 + 1 - 4)*(-3*v + 2*v**2 + 3*v) + 0*v**2 - 4*v**2 + v + 3*v**2). -5*v**3 + v**2 Expand i**2 + 2*i - 2*i + (3 - 3 + 2*i**2)*(-3 + 0 + 0) + 2*i**2 + 2*i**2 - 3*i**2 + (0*i**2 - i**2 + 0*i**2)*(1 + 4 - 3). -6*i**2 Expand (0 - z + 0)*(-100*z**2 - 9*z**3 + 100*z**2). 9*z**4 Expand (-c**2 + c**3 + c**2)*(83*c - 83*c + 13*c**2). 13*c**5 Expand (3*j**3 + 2*j**3 - 4*j**3)*(-9*j - 4*j + 9*j)*(1 + 3 - 2)*(-3 - 4 + 5). 16*j**4 Expand (7*u + 7*u - 2*u)*(2 + 0 - 3*u + u). -24*u**2 + 24*u Expand 0*r**5 + 2*r**5 + 2*r**5 + (-2*r - 3*r - 7*r)*(-2*r**4 + 0*r**4 + r**4). 16*r**5 Expand 0*z - z + 3*z + (-3 + 2 + 0)*(8 + 2*z - 8) - 1 + 1 + 5*z - 3*z - z + 8*z. 9*z Expand -3*q + 3*q - 3*q**2 + (2*q + 3*q - 3*q)*(q - 3*q + 0*q) - 3*q**2 - q**2 + 5*q**2 + (-q - 1 + 1)*(3*q - 5*q + 4*q) + 2*q**2 + q**2 - 2*q**2. -7*q**2 Expand (-2*l + 1 - 1)*(-4 + 4 + l**2) + (9 - 4*l**2 - 9)*(l + 1 + 0 - 3*l). 6*l**3 - 4*l**2 Expand (5*u + 2*u**3 - 5*u)*(-7*u**2 - 112 + 112). -14*u**5 Expand (2*m**3 - m**3 - 5*m**3)*(m - 8*m + 5 + 6*m). 4*m**4 - 20*m**3 Expand (-2*k + k - k)*(-5 + 4 - 1) - 4*k - k + 3*k + (2*k - 3*k + 0*k)*(-4 - 4 + 6). 4*k Expand 0*b - 2*b**2 + 0*b + b**2 - 3 + 3 + b**2 - 5 + 5 + (2*b - 3 + 3)*(-3*b + 5*b + 0*b) + (b - b + 3*b)*(-5*b - 5*b + 11*b). 7*b**2 Expand (4*o**2 - 7*o**2 - 3*o + 0*o**2)*(-2*o**3 - 3 + 3). 6*o**5 + 6*o**4 Expand (-2*g + 5*g - g)*((-3*g + 0*g + 4*g)*(-2*g**3 + 0*g**3 + 3*g**3) + 4*g**4 + 2*g**4 - 4*g**4 - 3*g**4 + 0*g**4 + 4*g**4). 8*g**5 Expand -5*t**3 - 3*t**3 + 6*t**3 + (-4 + 4 - 2*t**2)*(t + 0*t - 7 + 13). -4*t**3 - 12*t**2 Expand (-9*y**3 - 2*y + 2*y + (y + 3*y - 5*y)*(2*y**2 - 1 + 1))*(2 - 1 + 1 - 5*y). 55*y**4 - 22*y**3 Expand (-1 + 1 + 2)*(0*m - 2*m + 4*m) + m + 2*m - m. 6*m Expand (-3 - 3 + 5)*(-2*s**3 + 6*s**3 - 3*s**3 + (2*s**2 - s**2 + s**2)*(s + s + 0*s))*(1 + 3 - 5). 5*s**3 Expand -10*h**3 - 3*h**3 - 4*h**3 + h**3 + 2*h**3 + 2*h**3 + (3*h - h + 0*h)*(h**2 - 2 + 2). -10*h**3 Expand -3*z**5 + 7*z**5 + 0*z**5 + 0*z**5 - z**5 - z**5 + (-3*z**5 - 4*z**5 + 6*z**5)*(1 + 0 + 0). z**5 Expand (0*o - o + 0*o)*(o**2 + 7*o**4 - o**2) + o**5 + 2*o**5 - o**5 + 0*o**2 + 0*o**2 - 2*o**5. -7*o**5 Expand (5 - 2 - 4)*(-4 + 2 - 1)*(6*x + 2*x - 2*x). 18*x Expand (z + 0 + 0)*(0*z - 3*z + 5*z)*(-6 + 4 - 1). -6*z**2 Expand 9*n + 18*n + 18*n + (2 - 2 + 2*n)*(4 - 2 - 1) - n + 0*n + 2*n + (-1 - 4 + 3)*(n - n + n). 46*n Expand (0 + 3*c**2 + 0 + 0 + 0 + 2*c**2 + 3*c**2 + 2*c**2 - 4*c**2 + (-2 - 2*c + 2)*(-3*c + 3*c - c) + c - c - c**2)*(4*c**3 - 4*c + 4*c). 28*c**5 Expand 12*d**2 + 2 - 2 + 2*d**2 - 3*d**2 + 0*d**2 + d**2 + 2*d**2 - 4*d**2 + 0 + 0 - d**2 + (d - d - d)*(-2*d - d + 5*d) + 3*d**2 - 4*d**2 + 3*d**2. 9*d**2 Expand (-5 - 3 - 6)*(5*m + 3 - 3*m - 4). -28*m + 14 Expand v**3 + 3*v**5 - v**3 + (2 - 2 - 2)*(-4*v**5 + 3*v**5 + 2*v**5). v**5 Expand 2*l**2 - 3 + 3 + (-2*l + 4*l - 3*l)*(l + 2*l - 5*l) + (-3 + 3 - 2*l)*(-2*l + 1 - 1). 8*l**2 Expand (-m - 3 + 3)*(7 + 0 - 4)*(0 + 4 - 2). -6*m Expand 2*z**5 - 6*z**5 - 4*z**5 + (-3 - 4 + 5)*(-z**5 - 2*z**3 + 2*z**3) + (z + z - 3*z)*(0*z**4 + 0*z**4 + z**4). -7*z**5 Expand (-1 + 1 - 2*a + 1)*(0*a**3 + 3*a**3 - 5*a**3). 4*a**4 - 2*a**3 Expand (-5*u + 4*u + 4*u)*(0 - 1 - 1) - 8*u + 7*u + 17*u. 10*u Expand 7 - 11*b**2 - 7 + (0*b + 5*b - 3*b)*(2*b + 0*b - 3*b). -13*b**2 Expand (1 - k + 3*k + 0*k)*(6*k**2 + 2*k**2 + k**2). 18*k**3 + 9*k**2 Expand (3*t**3 + t**4 - 3*t**3)*(4*t - 9*t - 4*t) - t**5 - 2*t**5 + 2*t**5. -10*t**5 Expand (1 - 1 + 2*k**4)*((-1 + 3 + 0)*(k - 4*k + 7*k) + k + 2*k - k). 20*k**5 Expand (3 + 7 - 1)*(3 + 0 - 2)*(3*k**3 - 5*k**3 + k**3) + k**2 - 2*k**3 - k**2. -11*k**3 Expand (4*l**2 - l**3 - 2*l**2 - 6*l + 4*l)*(3*l + l**2 - 3*l). -l**5 + 2*l**4 - 2*l**3 Expand (3 - 3 + 2*u**4)*(2 - 46*u + 223*u - 83*u). 188*u**5 + 4*u**4 Expand (4*z + z - 3*z + 2 + 2*z - 2 + (3 - 3 + 1)*(1 - 1 - 2*z) + 4*z - 5*z + 2*z - 4*z - 3*z + 5*z)*(36 + 3 - 2). 37*z Expand (2 + 0 + 0)*(3*c + 0*c - 5*c)*(-2*c**2 - 3*c**2 + 0*c**2). 20*c**3 Expand (-1 - 4*d + 1)*(2*d**2 - 6*d**2 + 3*d**2)*(-2*d**2 + 4*d**2 - d**2 + (0*d - 2*d + 0*d)*(d - 4*d + d)). 20*d**5 Expand (3 - 3 + 2*z)*((-4 + 4 + 2*z)*(-z + 0*z + 0*z) - 3 + z**2 + 3 + 2*z**2 + 9*z - 9*z). 2*z**3 Expand (23*x + 29*x - 33*x)*(4*x**3 - 2*x**3 + 0*x**3). 38*x**4 Expand (0*p - 2*p + 3*p)*(p**4 - p**4 + 2*p**4) + p**5 + 2*p**4 + 2*p**4 + 0*p**5. 3*p**5 + 4*p**4 Expand -5*k**5 + 3*k**5 + 5*k**5 + k**4 - k**4 + 2*k**5 + (-5*k**4 + 2*k**4 + 2*k**4)*(-1 + 2*k + 1) - k**5 - 2*k**5 + 2*k**5. 2*k**5 Expand (0*p + 0*p - 3*p**3)*(14*p - 5*p - 6*p). -9*p**4 Expand -4*u - 2*u**5 + 4*u - 3*u**5 + 2*u**5 - 3*u**5 + (0*u**2 - u**2 + 3*u**2)*(-5*u**3 + 0*u**3 + 3*u**3) + (-4*u + u + 2*u)*(2*u**3 - 2*u**3 + 4*u**4). -14*u**5 Expand q**3 + 0*q**3 + q**3 + (0 - 2*q + 0)*(2*q**2 - q**2 + 0*q**2 + q**2 + 4*q**2 - 3*q**2 + (-q + 4*q - 4*q)*(0*q + 0*q + q) - 12*q**2 - 71*q + 71*q). 22*q**3 Expand -3*h**3 + h**3 + 3*h**3 + (-3 + 6 - 4)*(1 + h**3 - 1) - 2*h**3 - 4*h + 4*h + 0*h**3 + 2*h**3 + 4*h**3. 4*h**3 Expand (-7*t + 3*t + 0*t)*(10*t + 2*t - t). -44*t**2 Expand (3*g - 1 + 1)*(-6*g**2 - 10*g + 10*g) + (-4*g**2 + 0*g**2 - g**2)*(-4*g - g + 3*g). -8*g**3 Expand (2 + 0 - 1)*(-16 + 65*y - 64*y - 3)*(2*y**3 + y**2 - y**2). 2*y**4 - 38*y**3 Expand 3*i + 0*i - i + 8*i + 18*i - 7*i + (4*i + 0*i - 2*i)*(3 + 1 - 5) + 2*i + 2 - 2. 21*i Expand (73*v**3 + 70*v**3 - 137*v**3)*(-4*v**2 + 3*v**2 + 2*v**2). 6*v**5 Expand (2 - 7*o - 4 + 5*o + 6*o**2)*(-2 - 1 + 4). 6*o**2 - 2*o - 2 Expand (-2*d**2 + 2*d**2 + 2*d**3)*(-d - d + 3*d) + 0*d**4 - 2*d**4 + d**4 - 2*d + 0*d - 22*d**4 + 29*d**2 - 27*d**2. -21*d**4 + 2*d**2 - 2*d Expand (27*l**3 - 49*l**3 + 28*l**3 + 3)*(0*l**2 - 5*l**2 + 3*l**2). -12*l**5 - 6*l**2 Expand 0*o**3 + o**3 - 2*o**3 + (0*o + 5*o - 4*o)*(4 - 4 - 2*o**2) - 2*o**3 - 3*o**2 + 3*o**2. -5*o**3 Expand (78 - 193 + 39)*((1 - 1 - o)*(2 - 1 + 0) + 0*o - 4*o + 6*o). -76*o Expand (3 + 2 + 0)*(3*d - 4*d + 14*d). 65*d Expand (0 + 0 + 2*p**2)*(2 - 2 + 5*p)*(-3*p + 0*p - p). -40*p**4 Expand (3 + 2 - 3)*(3*t - 2 - 5*t + 3) + (1 - 1 - 2*t)*(4 - 7 + 9). -16*t + 2 Expand (2*m - 3*m + 0*m)*(5 + 2 - 1) + (3*m - 6*m + 4*m)*(-6 - 3 + 7). -8*m Expand (-3 + 3 + 2*o**2)*(3 - 1 - 1) - o**2 - o**2 + o**2 + (1 + 0 + 1)*(-o**2 - 2 + 2). -o**2 Expand (1 - 4 + 2)*(-4 - 10 + 1)*(3*v + v - 6*v). -26*v Expand (-478 + 478 - 62*r)*(-2 - r + 2)*(-3 + 2 + 0). -62*r**2 Expand (-5 + 0 + 3)*(1 - p - 1) - p - p + 5*p + p + 0 + 0 + (-3*p + 3*p - 2*p)*(0 - 4 + 2) - p + p - 2*p - 2*p + 2*p + p + p - 3*p + 0*p - 47 + 47 + 7*p. 14*p Expand 2*j**5 - j**5 - 2*j**5 + (-2*j**4 + 3 - 3)*(-j - j + 3*j) + 0*j**5 + 0*j**5 - 2*j**5. -5*j**5 Expand (-c + 8*c - 10*c)*(2*c - 2*c - c**3). 3*c**4 Expand (2*b**2 - 1 + 1)*(-3 + 3*b + 2 - 5*b). -4*b**3 - 2*b**2 Expand (2*p - 4*p - 3*p)*(-2 - 3 + 3)*(-2 + 4 - 1). 10*p Expand (-1 + r + 1)*(4 + 4 + 1)*(-8 + 5*r + 8) - 2*r**2 + 4*r**2 - 3*r**2. 44*r**2 Expand (0*h**2 + h**2 - 2*h**2)*(2 - 3 - 2)*(-2 + 1 - 4). -15*h**2 Expand (3*y**2 - 4*y**2 + 3*y**2)*(0*y**3 + 3*y**3 - 2*y**3) + (-2*y**2 - 4*y**2 + 4*y**2)*(-15*y**3 + 0*y**3 + 5*y**3). 22*y**5 Expand (3 - 1 - 4)*(2*z + 4 - 4) - 3 + 2 - 1 - 44*z. -48*z - 2 Expand (1 - 1 + 2)*(107 - 3*a - 107). -6*a Expand (s**2 - 2*s**2 + 0*s**2)*(4 + 0 - 2)*(5*s - 7*s + 4*s). -4*s**3 Expand -g + g + 2*g + (-2 + 2 + 3*g)*(-2 + 2 + 1). 5*g Expand -3 + 2 + 15*x - 3*x + (4 - 3 - 2)*(0*x - 2*x + x). 13*x - 1 Expand (-21*s - 27 + 10*s + 9*s)*(-4*s + 2*s + s). 2*s**2 + 27*s Expand (-3 + 0*i + 1 + i)*(3 - 2 + 1)*(-i**2 + 7*i**2 + 9*i**2 + (4*i + i - 4*i)*(i - 1 + 1)). 32*i**3 - 64*i**2 Expand (0*g - 4*g + 3*g)*(0*g + 0*g + 2*g) + (2 + 2 - 3)*(2*g**2 - 4*g**2 - 4*g**2). -8*g**2 Expand 3*t**2 + 3*t**2 - 2*t**2 + (2 - 2 + 2*t)*(3 + 3 - 3)*(2*t + 2 - 2). 16*t**2 Expand (o + 3*o + o)*(-o**4 - 4*o**4 + 4*o**4). -5*o**5 Expand 4*s**5 + 0*s**5 - 2*s**5 + (-s**2 + 2*s**4 + s**2)*(-s + s + s) - 464*s**3 + 464*s**3 - 87*s**5. -83*s**5 Expand (7 + 2 - 2)*(0 + 1 - 3)*(3*d - 5*d + 4*d). -28*d Expand (0*x + 2*x**3 + 0*x)*(-4*x + 0*x + 2*x)*(32 + 2*x - 32 + (0*x - 2*x + 3*x)*(0 - 1 + 0) + 2*x - 4 + 4 + 4*x - 4*x + x). -16*x**5 Expand (-2 + 0 + 1)*(-6*f**4 - 2*f**4 - f**4). 9*f**4
{ "pile_set_name": "DM Mathematics" }
months? 6097562.4 How many nanograms are there in 18949.5ug? 18949500 What is twenty-one eighths of a kilogram in grams? 2625 Convert 54519.28 weeks to microseconds. 32973260544000000 What is three eighths of a litre in millilitres? 375 Convert 22048.27 milligrams to tonnes. 0.00002204827 How many millennia are there in 0.5268946 years? 0.0005268946 What is 69.58901mm in meters? 0.06958901 What is 13/5 of a millimeter in micrometers? 2600 How many millennia are there in 8732.789 centuries? 873.2789 Convert 726.3678 decades to months. 87164.136 What is 48.332277 minutes in weeks? 0.00479486875 How many millimeters are there in 1/10 of a kilometer? 100000 What is 10/9 of a day in minutes? 1600 What is five eighths of a millennium in months? 7500 How many nanograms are there in 18912.08 micrograms? 18912080 How many micrograms are there in eighteen fifths of a milligram? 3600 Convert 90.43223 litres to millilitres. 90432.23 What is 32/5 of a tonne in kilograms? 6400 How many litres are there in 74755.6ml? 74.7556 How many micrograms are there in 7005.935 tonnes? 7005935000000000 What is 3/10 of a centimeter in micrometers? 3000 What is 719.9036t in milligrams? 719903600000 What is 5/8 of a litre in millilitres? 625 What is 29/2 of a century in months? 17400 What is 25/4 of a millisecond in microseconds? 6250 What is 42/5 of a tonne in kilograms? 8400 How many microseconds are there in 86438.5 minutes? 5186310000000 How many kilograms are there in 79.17966 tonnes? 79179.66 What is 46/5 of a decade in years? 92 How many micrometers are there in 0.4641013 kilometers? 464101300 What is 3/25 of a minute in milliseconds? 7200 What is one quarter of a gram in milligrams? 250 What is twenty-nine fifths of a millennium in centuries? 58 What is 13/4 of a litre in millilitres? 3250 How many kilograms are there in 3/10 of a tonne? 300 How many hours are there in 1367.8758s? 0.3799655 What is 30411.94 millennia in decades? 3041194 How many millimeters are there in twenty-six fifths of a meter? 5200 How many micrograms are there in 61.03906 milligrams? 61039.06 How many millimeters are there in seven halves of a centimeter? 35 Convert 10595.3967 seconds to days. 0.12263190625 Convert 1658.68 micrograms to nanograms. 1658680 Convert 314.91099 minutes to days. 0.2186881875 Convert 47.78703 months to decades. 0.39822525 Convert 2544719.4 months to years. 212059.95 How many years are there in nineteen quarters of a millennium? 4750 Convert 179.3437 decades to months. 21521.244 What is 6963.664 nanograms in milligrams? 0.006963664 What is fourty-one halves of a century in years? 2050 How many kilograms are there in twenty-seven halves of a tonne? 13500 How many nanograms are there in one quarter of a microgram? 250 What is six fifths of a meter in millimeters? 1200 What is 772.7424 days in minutes? 1112749.056 How many meters are there in twenty-six fifths of a kilometer? 5200 What is 18/5 of a millennium in years? 3600 Convert 13845.15153 microseconds to weeks. 0.000000022892115625 How many decades are there in 53/4 of a millennium? 1325 Convert 4.83988 hours to microseconds. 17423568000 Convert 2110.514 millilitres to litres. 2.110514 Convert 64.74342mg to micrograms. 64743.42 What is 17/4 of a year in months? 51 Convert 925257.8 years to millennia. 925.2578 What is 6/25 of a meter in centimeters? 24 How many nanometers are there in 3/10 of a micrometer? 300 How many millilitres are there in 13/8 of a litre? 1625 How many litres are there in 3559.464ml? 3.559464 Convert 71631.85ml to litres. 71.63185 What is 1758.146 tonnes in micrograms? 1758146000000000 Convert 0.7055147 micrograms to milligrams. 0.0007055147 What is 615.38265ns in days? 0.000000000007122484375 How many millilitres are there in 58.98031 litres? 58980.31 How many grams are there in six fifths of a kilogram? 1200 How many meters are there in 31/2 of a kilometer? 15500 What is 3/32 of a kilogram in milligrams? 93750 How many nanograms are there in one fifth of a microgram? 200 What is 64/5 of a decade in months? 1536 How many centuries are there in 0.9593329 millennia? 9.593329 How many meters are there in 4886.571nm? 0.000004886571 What is 0.789959 hours in milliseconds? 2843852.4 Convert 0.8260664 grams to kilograms. 0.0008260664 What is 6/5 of a millennium in decades? 120 How many months are there in seven quarters of a millennium? 21000 How many nanometers are there in 70352.78 meters? 70352780000000 How many milliseconds are there in 2.884191us? 0.002884191 How many weeks are there in 125.9581239 microseconds? 0.00000000020826409375 Convert 2882196.3us to minutes. 0.048036605 How many millilitres are there in 7/4 of a litre? 1750 What is 4.943267 decades in centuries? 0.4943267 What is 1/4 of a tonne in kilograms? 250 What is fourty-nine quarters of a microgram in nanograms? 12250 How many millilitres are there in 11/4 of a litre? 2750 What is 0.1475314 tonnes in kilograms? 147.5314 How many minutes are there in 2/15 of a day? 192 How many kilograms are there in 2.202398 nanograms? 0.000000000002202398 What is seven quarters of a millimeter in micrometers? 1750 How many kilograms are there in 16329.82 micrograms? 0.00001632982 What is 6512.271 millennia in years? 6512271 Convert 0.5083538 weeks to days. 3.5584766 How many micrograms are there in 5/8 of a milligram? 625 What is twenty-one halves of a century in months? 12600 How many nanoseconds are there in 61/4 of a microsecond? 15250 Convert 2.887644ug to tonnes. 0.000000000002887644 What is 3/10 of a millennium in centuries? 3 Convert 66.884922 minutes to days. 0.0464478625 Convert 801291.7 years to centuries. 8012.917 Convert 0.5490767 minutes to nanoseconds. 32944602000 Convert 91.08424 millimeters to micrometers. 91084.24 What is fifty-five halves of a meter in centimeters? 2750 How many minutes are there in 86712.67 days? 124866244.8 Convert 311.2438 millilitres to litres. 0.3112438 How many millilitres are there in thirty-seven fifths of a litre? 7400 What is 1/10 of a gram in micrograms? 100000 What is seven thirds of a year in months? 28 How many millilitres are there in 427292.6 litres? 427292600 What is eleven quarters of a litre in millilitres? 2750 How many milligrams are there in 46.48934 grams? 46489.34 How many micrograms are there in 498567.7t? 498567700000000000 Convert 9.423705m to kilometers. 0.009423705 How many millilitres are there in one quarter of a litre? 250 How many micrometers are there in 1/10 of a meter? 100000 How many milligrams are there in 7.886797ng? 0.000007886797 What is fourty-three halves of a gram in milligrams? 21500 How many seconds are there in fifty-five thirds of a minute? 1100 How many tonnes are there in 295534.3ng? 0.0000000002955343 How many centuries are there in 0.3030324 decades? 0.03030324 How many litres are there in 13.31268ml? 0.01331268 How many milliseconds are there in 1/15 of a minute? 4000 What is 481.1692 millilitres in litres? 0.4811692 How many micrometers are there in twenty-seven fifths of a millimeter? 5400 Convert 558.5175 kilograms to tonnes. 0.5585175 How many decades are there in 2.303352 millennia? 230.3352 Convert 2147.256 nanograms to milligrams. 0.002147256 What is twenty-one fifths of a milligram in micrograms? 4200 Convert 5.581861 weeks to minutes. 56265.15888 How many days are there in 2274.88419ns? 0.000000000026329678125 How many seconds are there in 9/10 of a day? 77760 How many grams are there in 17/2 of a kilogram? 8500 How many months are there in 68.75736 centuries? 82508.832 How many seconds are there in 311.6778 hours? 1122040.08 How many kilograms are there in 48924.72g? 48.92472 How many millimeters are there in 1/4 of a meter? 250 How many millilitres are there in 0.2564198l? 256.4198 Convert 56109.8 decades to centuries. 5610.98 What is 378.3713nm in centimeters? 0.00003783713 What is 17/2 of a decade in months? 1020 What is 6.317553nm in millimeters? 0.000006317553 How many years are there in three tenths of a millennium? 300 How many millilitres are there in twenty-one halves of a litre? 10500 How many microseconds are there in 451.8531 days? 39040107840000 What is three sevenths of a week in minutes? 4320 How many nanograms are there in 9468.
{ "pile_set_name": "DM Mathematics" }
33) - (1*sqrt(33) + sqrt(33)))/sqrt(3))**2 - (-4*1*sqrt(121))/sqrt(11))*-5. -25*sqrt(11) + 55 Simplify -2*(2 + (sqrt(35) + 6*sqrt(140)/sqrt(4))/sqrt(5) + -3)**2. -688 + 28*sqrt(7) Simplify 4 + (sqrt(204)*-2*-3)/(sqrt(12) + sqrt(96)/(sqrt(24)/sqrt(3))). 4 + 3*sqrt(17) Simplify (sqrt(6655)*1*6)/(5*sqrt(77)/(sqrt(7)*-1)). -66*sqrt(5)/5 Simplify (-5*sqrt(15)/sqrt(3)*-4 - (1 + sqrt(180) - -5*sqrt(10)/sqrt(2)))**2*4. -72*sqrt(5) + 1624 Simplify (sqrt(208)/(-2*sqrt(8)*-1))/(-1*(sqrt(2) - sqrt(2)*-2)*6). -sqrt(13)/36 Simplify (0 + sqrt(833) + -5*sqrt(833)*3 - (-4*(sqrt(833) + 0) - (sqrt(833) + (sqrt(833) + sqrt(833)*2)*-1)))**2. 119952 Simplify ((sqrt(180)/sqrt(4))/sqrt(9)*4)**2 - (-5 + (sqrt(5) + -1)*1). -sqrt(5) + 86 Simplify -3*5*(sqrt(85)/sqrt(5))**2 - (sqrt(68)/(sqrt(8)/sqrt(2)) - (-1 + sqrt(1700) + sqrt(17))**2). -23*sqrt(17) + 1803 Simplify ((sqrt(320) - (-5*(-3 + sqrt(320)) - sqrt(320)) - -2*sqrt(320)*-4)*-2)**2. 960*sqrt(5) + 2180 Simplify -4 + sqrt(84)/sqrt(3) - ((sqrt(7) + sqrt(112)*6)**2 + (0 + sqrt(7))*-2). -4379 + 4*sqrt(7) Simplify ((sqrt(209)/(sqrt(99)*-1) - sqrt(76)/(sqrt(196) + sqrt(196)*1 + sqrt(4))) + 2)**2. -8*sqrt(19)/5 + 176/25 Simplify -5*(sqrt(243) + 4 + sqrt(243) + 3 - 3*sqrt(243)*-2). -360*sqrt(3) - 35 Simplify (-6*(sqrt(1568) + 0 - 2*sqrt(160)/sqrt(5)))**2. 28800 Simplify 4 + (-6*(sqrt(325) + sqrt(13))**2 - (sqrt(650)/sqrt(2))**2). -3129 Simplify (5 + ((sqrt(18) - sqrt(450))*-2)/(sqrt(30)/sqrt(20)))*3. 15 + 48*sqrt(3) Simplify (3*sqrt(640)*-1)/(sqrt(12)/(sqrt(6) - sqrt(24) - sqrt(6))*-3). -16*sqrt(5) Simplify (sqrt(32)*-2 - (sqrt(8)/(sqrt(4) + sqrt(8)/sqrt(2)))**2) + sqrt(200) + -1*sqrt(200) + -1. -8*sqrt(2) - 3/2 Simplify -3*(-5*sqrt(1458))/(sqrt(6) - (sqrt(30) + (sqrt(750) - sqrt(30)))/sqrt(5)). -135*sqrt(3)/4 Simplify (4*((sqrt(171) + -1*sqrt(171)*-1 - sqrt(171)) + sqrt(171) + -1*2*sqrt(171)))**2. 0 Simplify (5 + -1 + 0 + 1 + sqrt(2448)*2)**2. 240*sqrt(17) + 9817 Simplify 4*(sqrt(1331) - 2*sqrt(1331)*-6)**2 - (3 + -3*(-1 + sqrt(1331))). 33*sqrt(11) + 899750 Simplify sqrt(24)/(sqrt(288)*-5) - (0 + (-5*sqrt(75) - sqrt(75))). 899*sqrt(3)/30 Simplify (5 + sqrt(55)/(sqrt(99) - sqrt(99)*-1) - (sqrt(320) + -1 - sqrt(320))*1*2)**2. 7*sqrt(5)/3 + 1769/36 Simplify sqrt(52) + -1 + -2 - 3*sqrt(104)/(sqrt(48)/sqrt(6)). -sqrt(13) - 3 Simplify ((sqrt(2) + -2 + sqrt(2) + 2)*-5 - sqrt(4)/(sqrt(32)/sqrt(4) + sqrt(8)))**2*2. 1681/4 Simplify (0 + -3 + -3*(sqrt(891) + 5*sqrt(891) - sqrt(891)) + -1)**2. 1080*sqrt(11) + 200491 Simplify ((2*4*sqrt(119)*2)/(sqrt(63)*-2*-3))**2. 1088/81 Simplify ((1 + (sqrt(220)/sqrt(4))/sqrt(11))**2 + (sqrt(605) - (-6*sqrt(605)*-4 + sqrt(605))))*1. -262*sqrt(5) + 6 Simplify ((sqrt(162) - -3*(sqrt(162) + 0 - sqrt(162)) - (sqrt(162) - (-1 + sqrt(162))*-4)) + 4 + -1)**2. -504*sqrt(2) + 2641 Simplify (2*(sqrt(96) - sqrt(24))*-2)/(sqrt(800) - 5*1*sqrt(800)). sqrt(3)/10 Simplify -4 + (sqrt(180) - 1*(-1 + sqrt(180)))**2 + ((sqrt(605) + -1)*3)**2 + 4. -198*sqrt(5) + 5455 Simplify -1 + (sqrt(1512)*-4)/((1*sqrt(72))/sqrt(12)). -24*sqrt(7) - 1 Simplify (-3 + sqrt(19) + 3)*4 - (-3 + (sqrt(95)/sqrt(5) + 1 - sqrt(19))). 2 + 4*sqrt(19) Simplify -1 + (0 + (4 + sqrt(1331))*-4)**2*5. 7040*sqrt(11) + 107759 Simplify -3 + (-5*2*sqrt(187))/(sqrt(704)*-2). -3 + 5*sqrt(17)/8 Simplify (4*sqrt(77)*-2 - sqrt(77))/(2*sqrt(396))*-4. 3*sqrt(7) Simplify 4 + ((1*sqrt(364))/sqrt(7))/(sqrt(4) + (sqrt(32) + sqrt(800) + sqrt(32))/sqrt(8)). sqrt(13)/8 + 4 Simplify (sqrt(21) - (sqrt(21) + sqrt(756)))/sqrt(7) - (sqrt(363) + 0) - (-1 + sqrt(192) + -2 + (sqrt(192) - (1 + sqrt(192))) + 5)**2. -193 - 33*sqrt(3) Simplify ((sqrt(15)/(sqrt(27)/(sqrt(27)/sqrt(3) + sqrt(9))) + -5)*-2*6 + -4)**2. -2688*sqrt(5) + 6016 Simplify 4*(-4 + sqrt(931) + 0 - ((2*sqrt(931) - sqrt(931))*-6 - sqrt(931)))**2*4. -7168*sqrt(19) + 953600 Simplify sqrt(17) + sqrt(68)*-1 + (sqrt(85)/sqrt(5))**2 + 0 + sqrt(68)/(sqrt(576)*-1). -13*sqrt(17)/12 + 17 Simplify (sqrt(612) + 1 - sqrt(119)/(sqrt(21)/sqrt(3)))**2 + ((sqrt(85) + -3*(sqrt(85)*-2 + sqrt(85)) + sqrt(85))/(sqrt(45)*5))**2. 10*sqrt(17) + 3851/9 Simplify ((sqrt(99) - 5*sqrt(99)*2) + -4*-2*sqrt(99))/((sqrt(72) - (sqrt(72)*-1 + sqrt(72)))/sqrt(8)*2). -sqrt(11)/2 Simplify (sqrt(5184) - (sqrt(5184) - sqrt(5184)*-4) - sqrt(36))/(sqrt(12) + (sqrt(12) + sqrt(108)/sqrt(9))*3). -7*sqrt(3) Simplify 5 + ((-1 + 1*sqrt(242) + sqrt(242) - (1 + (-2 + sqrt(242) - sqrt(242)) - sqrt(242))) + -1)**2. -66*sqrt(2) + 2184 Simplify ((sqrt(132)*2 + sqrt(132))*-2 - -4*-2*sqrt(132))/(-4*-2*sqrt(300))*-5. 7*sqrt(11)/4 Simplify (2*sqrt(102)*-6 + (sqrt(102) - -1*sqrt(102) - sqrt(102))*1)/((sqrt(6) - sqrt(96)*2) + sqrt(162)/sqrt(3)). 11*sqrt(17)/4 Simplify -1*((sqrt(72) - (-2 + (sqrt(72) - (sqrt(72) + (sqrt(72) - sqrt(72)*4)))))**2 + sqrt(72))*2. -584 + 84*sqrt(2) Simplify (-6*sqrt(72)/sqrt(54))/(sqrt(28)/(-3*sqrt(1008))). 72*sqrt(3) Simplify (-5 + -5*(sqrt(3) - (3 + sqrt(432))))*4. 40 + 220*sqrt(3) Simplify ((-3*(sqrt(91)*-2 - sqrt(91)) + sqrt(91) + 2*sqrt(91)*2 + sqrt(91))/(sqrt(35)/(-2*sqrt(5)) - sqrt(189)/sqrt(3)))**2. 11700/49 Simplify -2*(sqrt(12)/sqrt(4) + -2)*-2 - (-1 + sqrt(192) + -4 + 1*sqrt(192)*-4)**2. -1761 - 236*sqrt(3) Simplify ((sqrt(125) - (2*sqrt(125) + 1) - sqrt(125) - ((4*(sqrt(125) + -4 + sqrt(125)) - sqrt(125)) + sqrt(125) + sqrt(125))) + -1)**2. -1540*sqrt(5) + 15321 Simplify ((1*(sqrt(152) - (sqrt(152) - 2*sqrt(152)*4)))/(sqrt(80)/sqrt(1960)))**2. 238336 Simplify (-3 + -2*(sqrt(3)*2 + sqrt(3) - sqrt(3)) + -2 + -1 + (sqrt(12)/sqrt(4) - sqrt(3)) + -4)**2. 80*sqrt(3) + 148 Simplify (-1*sqrt(108))/(sqrt(4) + 3*sqrt(4)*2)*1. -3*sqrt(3)/7 Simplify ((-1*sqrt(36)*1*2)/((sqrt(12) - 1*sqrt(1728)) + sqrt(60)/(sqrt(5)*2)))**2. 16/147 Simplify -1 + (3*(sqrt(475) - (sqrt(475) + sqrt(475) + 4 + -1)) + -5)**2. 420*sqrt(19) + 4470 Simplify (3*(-4 + 1 + sqrt(242)*-2 - ((sqrt(242) + 0)*4 + (-1 + sqrt(242))*5)))**2. -4356*sqrt(2) + 263574 Simplify (1*2*sqrt(1584)*4 - 3*(2 + sqrt(1584))*5)**2. 5040*sqrt(11) + 78516 Simplify -2 + ((-4*(sqrt(171) - (-1*sqrt(171) + sqrt(171))))/(-2*sqrt(36)))**2 + 0. 17 Simplify 1 + (-1*-6*(0 + sqrt(117))**2 - (2 + (sqrt(117) + 1 + sqrt(117))**2 - (3 + (sqrt(117)*2)**2))). -12*sqrt(13) + 703 Simplify (((sqrt(1053)*-2 + sqrt(13))*-5 + sqrt(130)/(sqrt(1470)/sqrt(3) + sqrt(10)))*1)**2. 6028893/64 Simplify (-5*sqrt(200) + -4 - 4*sqrt(200)*5)*-6. 24 + 1500*sqrt(2) Simplify 0 + (-3*sqrt(325)*-2*-5)**2. 292500 Simplify (((1 + sqrt(1008))*1 - (-5 + sqrt(1008) + 2))*3)**2. 144 Simplify -5 + ((sqrt(5103)*1 - sqrt(5103)) + sqrt(5103))/sqrt(9) + -3*(sqrt(7) + sqrt(28)/(sqrt(4) + (sqrt(16) - sqrt(4))) - sqrt(7)). -5 + 15*sqrt(7)/2 Simplify 1 + (sqrt(88) + (sqrt(88)*3*2 - sqrt(88)))/(2*sqrt(55)/sqrt(5) + sqrt(11)). 1 + 4*sqrt(2) Simplify (sqrt(132) + sqrt(132) + sqrt(132)*1*-6 - (1*sqrt(132) - sqrt(132))*-6)/(-4*(sqrt(12) - sqrt(132)/sqrt(44))). 2*sqrt(11) Simplify ((sqrt(210)/sqrt(360))/(sqrt(9)/(sqrt(3)*-5)))**2 + 0. 175/36 Simplify 5 + (1 + sqrt(33)/(-2*sqrt(275)))**2. -sqrt(3)/5 + 603/100 Simplify ((sqrt(120) + sqrt(120)*3 + sqrt(120))/sqrt(10) + (sqrt(12)*4*5)**2)*6. 60*sqrt(3) + 28800 Simplify -4*((4*(sqrt(65) + (sqrt(65) - ((sqrt(65) - (sqrt(65) - 2*sqrt(65))) + sqrt(65)))))/sqrt(5) - ((sqrt(13) - (sqrt(468) - (sqrt(468) + 1))) + 0)). 4 + 20*sqrt(13) Simplify ((sqrt(128) + sqrt(128) + 0)**2*-6 - (sqrt(128)*-2 + 5 + sqrt(128))**2) + 4*(2 + -1*sqrt(128)) + 4. -3213 + 48*sqrt(2) Simplify 5 + sqrt(27) + 0 - sqrt(270)/(sqrt(10)*-2). 5 + 9*sqrt(3)/2 Simplify (0 + (sqrt(54)/(sqrt(2) + sqrt(2)*4))/(sqrt(72)/sqrt(8)*-1) + 4)**2. -8*sqrt(3)/5 + 403/25 Simplify (sqrt(48)/(sqrt(8) + sqrt(800)*2))/((sqrt(27) + -4*2*sqrt(27))/sqrt(9)). -sqrt(2)/147 Simplify ((3*(sqrt(84) + sqrt(84) + 5*(2*sqrt(84) - sqrt(84))))/(2*sqrt(1728)*-4) + 5)**2. -35*sqrt(7)/16 + 25943/1024 Simplify (0 + ((1*sqrt(176)*3 - sqrt(176))*-4)**2)*-1. -11264 Simplify -1*((sqrt(6897)*-1)/sqrt(3) + (-2*sqrt(3800))/sqrt(2)). 31*sqrt(19) Simplify (1*sqrt(432) - sqrt(30)/(sqrt(10) + (sqrt(10) + sqrt(250) - sqrt(10)))) + ((sqrt(72)*2 - sqrt(72))/sqrt(6))/(sqrt(4) + (sqrt(96)/sqrt(4))/sqrt(6)). 37*sqrt(3)/3 Simplify (-4 + 4 + sqrt(832) + -2 + 2 + sqrt(832) + sqrt(832))**2. 7488 Simplify (-2 + sqrt(17) + 0 + sqrt(68)/sqrt(4) - (sqrt(51) - (sqrt(51) + (-1*sqrt(204))/sqrt(4)))/sqr
{ "pile_set_name": "DM Mathematics" }
to 0 in k, m, l? m Let m = 390 + -395. Let f = -11.1 + 12. Let s = -0.1 - f. Which is the closest to s? (a) 0.1 (b) 2 (c) m a Let j = 1.1 + 1.9. Let o be (-2 - -2)/(2 - 4). Which is the nearest to j? (a) -2 (b) 3 (c) o b Let q = 5.12 + -0.12. Let p = 79 + -78.63. Let z = p - -0.13. What is the closest to 1/3 in z, q, 0? z Let s = 13 - -19.9. Let p = -60.3 - -27.3. Let o = s + p. Which is the nearest to o? (a) -5 (b) -0.3 (c) 0.8 b Let q = -2 + 13. What is the closest to q in 1/3, -0.5, -0.4? 1/3 Let f = 669 - 670. What is the nearest to 1/5 in -0.2, -6, f? -0.2 Let j = -1.55 - -0.55. Suppose -8 = 4*k - 0. Let n = -0.4 + 0.2. Which is the closest to 2/3? (a) k (b) j (c) n c Let m be -3 - (6/(-1) - 1). Suppose 4*l - 2*l + 2*p = -2, m*p + 6 = -3*l. Let r = l - -1. What is the closest to 0 in -5, r, 0.5? 0.5 Let x be (-13)/18 + 2/4. Suppose -3*s + v + 0*v = -8, 2*s = 2*v. What is the closest to -3 in s, x, 1/6? x Let x = 0.57 + -1.07. Let s = -38.8 + 39. What is the nearest to s in x, -5, -4? x Let l = 29 - 29.028. Let b = l + -0.372. What is the closest to 2/5 in 6, b, 1? 1 Let b be (1/2)/((-11)/(308/14)). Let t = -1 + 1. Let z = -2 - t. What is the closest to z in b, 2, -0.3? b Let i(y) = -y**3 + 5*y**2 + 6*y - 1. Let m be i(6). Let d = 16 + -15.7. Let f = -1.058 + 0.058. Which is the nearest to f? (a) -3 (b) m (c) d b Let u(s) = -2*s + 50. Let w be u(24). What is the nearest to w in 0.4, -10, 1/3, -2? 0.4 Let n = 0 + 0.1. Let k = -419 - -423. Which is the closest to n? (a) -0.5 (b) k (c) 5 a Let w = -26 - -14. Let q be w/(-8) - (-46)/(-36). Which is the closest to -0.07? (a) 0.5 (b) 1 (c) q c Let v = 24 - 24.7. Let f = -3.1 + 2.3. Let c = v - f. What is the closest to c in 0.3, 5, -0.4? 0.3 Let j = -48.34 - -1.84. Let r = -46 - j. What is the closest to -1 in 1/8, 1, r? 1/8 Let r = -845.8 - -846. Which is the nearest to 0? (a) 0.14 (b) r (c) -4 (d) -1/7 a Suppose 0*s = 4*s + 2*o - 64, -4*s - 3*o + 64 = 0. Suppose -5*h = c - 4*c - 8, s = -2*c - 2*h. What is the nearest to c in -1/11, -1/6, -2/21? -1/6 Let n be 4/(-3)*1*-3. Let f = 2.2 + -2. Let u = 144.3 - 144.4. Which is the nearest to f? (a) u (b) -0.3 (c) n a Let j = 443/1383 + 6/461. Let z = 4.4 + 0.6. What is the closest to -1 in -2/3, z, j? -2/3 Let x = -388 - -389. Suppose b - 4*f - 2 + 4 = 0, 0 = -b - f - 7. What is the closest to x in 0.5, 3, b? 0.5 Let w be -1 + (-54)/16 + 4 + 1. What is the nearest to -0.3 in -2, 2, -0.1, w? -0.1 Let y = 0.372 + -0.672. Which is the closest to -8? (a) 0 (b) -7 (c) -3 (d) y b Let l = 5.2 - -9.8. Let k be 4*1/1*(-7 - -6). Which is the closest to -1? (a) k (b) l (c) -0.5 c Let b be 174/(-522) - (-1 + 0). What is the closest to b in -10, -1, 16/3? -1 Let j = -241.5 - -241. Let n = -9 + 13. What is the nearest to 0.08 in 1, j, n? j Let k be 3 - (1 - (-18)/15). Let m(s) = -s**3 + 9*s**2 - 17*s + 20. Let h be m(7). Which is the nearest to k? (a) 5/2 (b) h (c) -5 a Let v = -79 + 75. Which is the closest to -0.2? (a) v (b) -0.3 (c) 0.5 b Let g = 11 + -12. Which is the closest to 2/19? (a) 0.1 (b) 2 (c) g a Let t = 142 - 120. Let n = -69.7 + 48. Let h = t + n. What is the nearest to -0.1 in -3/8, h, 1/2? -3/8 Let d = 6 + -11. Let c = -13 - -15. Let k be (3/c)/((-6)/16). What is the closest to 0 in d, -3, k? -3 Let p be -6*((-9)/(-15) - 19/15). What is the nearest to -0.037 in -0.4, p, -1/8? -1/8 Let v = 20 - 29. Let o = 8.1 + v. Let c = o - -0.8. What is the closest to 1 in 2/13, c, 2/5? 2/5 Let o = -2 - -1. Let n = -1 + 25. Let u = -25 + n. What is the closest to u in 1, o, -3/5? o Let o = 3.3 - -0.7. Let x = -15 + 19.1. Let l = x + -2.1. What is the closest to -2 in -0.5, o, l? -0.5 Let m = -670 - -669.7. What is the closest to -0.3 in 5, -1/7, m, -1/4? m Let k = 9.39 + -9.29. What is the nearest to k in 0.1, 1, 3.4, 1/2? 0.1 Suppose -3*g = 4*w + 29, -g + w = -0*w + 19. Let p = g - -14. Let v(f) = -f**3 + f**2 - f - 4. Let n be v(0). What is the closest to p in -5/3, n, -1? -1 Let f = -23.7 + 1.7. Let h = f - -25. Which is the nearest to 7? (a) -2/3 (b) h (c) 1 b Suppose -4*p + 8*p = 16. Let v be p/(8*-5)*4. Which is the closest to v? (a) 1 (b) 2/5 (c) 3 b Let v = -3919.7 - -3913.7. Let h = -0.1 - 0.9. Which is the closest to 0? (a) v (b) 0.5 (c) h b Let z = -85 - -87. Let f be (((-20)/5)/z)/(-15). Which is the closest to 0? (a) 0.1 (b) f (c) 2/7 a Let x = -0.21 - 0.09. Suppose u + 0 - 1 = -5*p, 4*p + 2 = 2*u. What is the closest to u in x, -5, 0.11? 0.11 Suppose 0 = -6*m + 5*m + 2*t - 10, 0 = 4*m + t + 67. Suppose 0 = 4*y + 16 + 32. Let l = y - m. What is the nearest to -2/5 in l, 0, -2/7? -2/7 Let p = -0.1375 + 0.1275. Which is the closest to -0.1? (a) 5 (b) 3 (c) p c Let p be (-8)/(-24) + 218/(-6). Let u be (-6)/p + (-46)/(-12). Let i = 0.1 - 0.1. What is the closest to -1/4 in i, -2/19, u? -2/19 Let c be (-2)/5*(-3 + 4). Let m = -924.2 - -924. What is the nearest to 3 in 6, c, m? 6 Let h(m) = -m**3 - 8*m**2 - 6*m + 14. Let j be h(-6). Let k be (2/2)/((-1)/j). Let t be (k/(-33))/(20/6). Which is the nearest to -0.2? (a) 0.4 (b) t (c) -2 b Let j = -2027 + 2028. Which is the nearest to 10? (a) -0.1 (b) j (c) -2/5 (d) -1/7 b Let r = 71 - 71. Let f = 0.3 - 0.2. Which is the nearest to r? (a) -0.2 (b) f (c) -2 b Let o = 4.8 - 5. Let n = 10 + -10.4. Let v(j) = -j**3 - 2*j**2 - j. Let u be v(-2). Which is the closest to 1? (a) u (b) n (c) o a Let r = 0.11 - 0.21. Let d(w) = -w**2 - 10*w + 14. Let f be d(-11). Which is the closest to -2/7? (a) f (b) r (c) -1 b Let i be 2 - (-1 - 24/(-9)). Let w = 13 - 20. Let d(s) = -2*s**3 - 12*s**2 + 15*s + 10. Let l be d(w). What is the nearest to 0.1 in i, 0.1, l? 0.1 Suppose q - 24 = 4*f - q, 2*f = -5*q. Which is the nearest to f? (a) 2/19 (b) 0.1 (c) -0.3 c Let u = -920.8 - -846. Let x = u - -75. Suppose -4*o = 8, 0*f + o = -f - 5. Which is the nearest to f? (a) 0.4 (b) x (c) 2/15 c Let n = -14 - -14.01. Let j = n + -0.02. Let l = j + 0.01. What is the nearest to 0 in 0.02, l, -2/3? l Let t = 33 - 33.19. Let k = t + 0.28. Let m = 5.09 - k. Which is the nearest to 2? (a) m (b) -0.1 (c) 2 c Suppose -5*j - 25 = 0, 4*g + 3 = 3*j - 2. Let c = 100 - 83.4. Let u = c - 17. What is the closest to 0.1 in g, u, 1/2? 1/2 Let k be (-1)/((-1)/(-3*3)). Let y be 7/k - (-1 - 0). Let s = -0.1612 - -0.3612. Which is the nearest to -0.2? (a) s (b) 4 (c) y a Let v = -21 + -22. Let a = v - -40. What is the closest to 0.1 in 4, a, -0.2? -0.2 Let m = -743 + 1485/2. Which is the closest to 0? (a) -9 (b) -4 (c) -2 (d) m d Let v = -4.02 - -0.02. Let w be ((-3)/153)/((-10)/60). Which is the nearest to 1? (a) v (b) 5 (c) w c Suppose 2*m - 246 = -4*m. Let l = 37 - m. Which is the nearest to 1/3? (a) -5 (b) l (c) -1/5 c Suppose 0 = 4*g + 22 + 10. Suppose 5*q = o - 8, -2*o + 3*o - 4*q - 7 = 0. Which is the nearest to -1? (a) -1 (b) o (c) g a Let p = -52 + 54. Suppose -w - 5*u - 25 = 0, 3*w - 2*u = 2*w + 10. What is the closest to w in 6, p, 5? p Let n = 23/14 + -22/7. Which is the closest to n? (a) -1 (b) 1/7 (c) 3 a Suppose 5*u = 23*u - 72. Let l = -0.21 + 0.71. What is the closest to 1/4 in u, -1.7, l? l Let t = -3.9485 - 0.0515. Let f = 47 - 40.9. Let p = f + -6. Which is the nearest to p? (a) t (b) -0.6 (c) -2/15 c Let l = -87/131 + -1/393. What is the nearest to l in -0.2, 1, -4? -0.2 Suppose 32*c - 12 = 29*c. Let t = -6152/15 - -410. What is the nearest to 1 in t, 14, c? t Let z(y) = -y**2 - y + 28. Let r be z(-6). What is the closest to -0.2 in 4, r, 2.6? r Let w = -493 - -493.2. What is the closest to 2/5 in 0.3, w, 0.06? 0.3 Let z = 28.9 - 34.9. Which is the closest to 0.1? (a) -0.2 (b) z (c) 1.5 a Let u = 90.9 + -91. Let n = -0.9 - 0.1. What is the nearest to n in 5, 0.3, u? u Let k be (144/18 - 530/45) + (-2)/9. Let h = -4 - -3.6. What is the closest to -2 in h, -7/5, k? -7/5 Let j = 7.77 + -7.97. What is the nearest to -2/7 in -1/8, -0.4, j? j Let h = -5.5 + 5. Let q = 37 - 37.32. Let v = q + 0.02. Which is the nearest to 2? (a) h (b) -1/3 (c) v c Let x = 392 + -397. Let t = 6 + -5.1. Which is the closest to -2/5? (a) t (b) -4 (c) x a Let r = -5939673/152 + 39077. Let k = r - 3/38. What is the closest to -4 in 1, k, 0.2? k Let
{ "pile_set_name": "DM Mathematics" }
(-2755))? 1 Evaluate -5*(16/(-40))/(8/(-140)*-7). 5 (6264/(-203))/18*7*10/4 -30 Calculate (-27)/(((-1708)/2989)/(2/(-7))). -27/2 What is the value of (-1512)/480*360/270*(-20)/3*-1? -28 Calculate 50/(-20)*30/3625*-5. 3/29 What is the value of 1*(-216)/9*(-148)/(-666)? -16/3 Evaluate ((-9)/(-5))/((-50)/(5750/(-69)))*1. 3 What is (((-20)/(-8))/(-5))/(20/13120*-8)? 41 What is the value of (43/((-5504)/272))/(((-3)/(-2))/3)? -17/4 Calculate (((-536)/67)/(5/(15/2)))/((-392)/140). 30/7 What is (2/(-36))/((-2337)/(-42066))? -1 Evaluate 1416582/(-25524)*(-4)/(-6). -37 What is the value of (-66*(-5)/(-80))/((-7)/(182/78))? 11/8 (-9525)/2286*3/2*-20 125 What is ((-12)/(-48)*-32)/(28/18)*7? -36 What is the value of (-11)/((-110)/75)*(-26)/((-156)/(-12))? -15 Calculate 12831/(-1974)*50/13. -25 Calculate ((-4)/24)/(50/(24300/297)). -3/11 Calculate 5394/3596*(-4)/78*1*6/(-6). 1/13 What is the value of (-58220)/(-3692)*13*2*1/5? 82 Calculate 3/(24/(-7))*(-252)/26754*13. 3/28 ((-36833242)/18884)/((-94)/4) 83 What is -1*(((-12)/(-54))/(2/(-6)))/(22/(-1551))? -47 Calculate ((-15939)/1650)/(-69)*(-70)/392. -1/40 (56/60)/(7/(-10)) -4/3 Calculate ((-3)/169)/(236/3068)*2/3. -2/13 What is the value of (4*(-6)/(-168)*-91)/(1/1)? -13 What is the value of ((-251028)/502056)/((2/(-5))/((-17)/5))? -17/4 What is the value of (-62595)/2889*(-3)/5? 13 Calculate ((-21)/((-2436)/8))/((12/57)/((-24)/(-228))). 1/29 What is ((-663)/(-6))/(43401/(-10212))? -26 What is 1*(-73)/(2920/80)*(-46)/2*1? 46 (-6*(-44)/11319)/(-3*3*16/(-504)) 4/49 Calculate ((-208)/(-1755))/((-59)/(-531))*3/8. 2/5 What is the value of (1560/(-48620))/((-165)/(-935))? -2/11 ((-148)/(-6))/(((-12)/(-14))/(((-42228)/(-357))/(-92))) -37 (-10)/18*24/(-40)*(-1503)/4342 -3/26 Calculate 186/279*(-6)/4*(-72)/(-3). -24 ((-62620)/78275)/((28/5)/4) -4/7 Calculate 201/12*41/(3567/116)*-3. -67 Evaluate 94*(3/((-30)/(-25)))/(35/7). 47 Evaluate ((((-2988)/72)/83)/((-37)/(-2)))/((-24)/(-36)). -3/74 What is the value of ((-2)/(-8))/(((-36)/216*9)/(456/(-4)))? 19 Calculate 1452/(-1210)*(-5)/((4/8)/((-10)/(-2))). 60 What is the value of (-9)/12*(-36)/(-1134)*2982? -71 What is the value of ((-9873)/87760)/(3/(-8))? 3/10 Evaluate ((-1824)/21)/4*(-176)/(27456/273). 38 What is 4/((2/20)/((-802)/14035))? -16/7 What is 29*38/6612*(-6)/(-73)? 1/73 Evaluate ((-6)/1*(144/(-392))/18)/(45/42). 4/35 Calculate ((-1*1)/((-44)/(-1144)))/(3*10/(-60)). 52 What is -22*41/(1230/105)? -77 What is the value of 15/5*(-675)/75? -27 Evaluate 32/64*5600/(-2200). -14/11 What is (-20240)/9108*(-18)/22? 20/11 Evaluate 6*13/(-78)*1*10/105. -2/21 What is (8/4*1/(-130))/(5075/3625)? -1/91 Calculate -2*420/(-6)*63/(-8190). -14/13 Evaluate (-21*26/(-27846))/(1/6*(-30)/15). -1/17 What is the value of (-6)/(-40)*-26*28/((-21168)/(-630))? -13/4 Evaluate (20/(-246))/((-28970)/(-17382)). -2/41 (-54)/216*(-224)/(-308) -2/11 Evaluate 1*7*192*6/112*4/(-6). -48 What is the value of (3*4/(-6))/(249/(414336/512))? -13/2 Evaluate (-7*18/(-2310))/((621/115)/(-9)). -1/11 Evaluate (63/(-60)*-5)/(((-3)/(-5))/((-432)/405)). -28/3 What is 56/12*(-6)/(-3*(-8)/(-24))? 28 Evaluate ((-1)/(8/636))/(((-99)/(-88))/(3/(-4))). 53 What is (-120)/(-328)*(-243)/(-3645)? 1/41 Calculate 40*(-77)/25410*(3/5)/(8/(-5)). 1/22 Evaluate ((-10)/(-7))/(-145*(-15)/12180). 8 What is (-132)/(-22)*(4/(-120))/((-110)/132)? 6/25 Evaluate (-354)/18*21252/(-3542). 118 What is the value of (30/34)/(43524/328848)? 20/3 Calculate ((-39)/((-156)/(-32)))/(18912/24). -2/197 What is the value of 3/45*(45*14/350)/((-8)/5)? -3/40 Evaluate (21*22/(-308))/((-4)/72). 27 39/(-2)*-61*(-74)/6771 -13 Evaluate ((50050/637)/55)/(-6*1/(-525)). 125 What is the value of 81/(-3)*1*((-136)/(-8))/17? -27 What is ((-14)/(-14))/(3/2)*144/15? 32/5 Calculate 1/(((-5)/(-6))/((-940)/18612)). -2/33 Evaluate ((124497/1378)/(-261))/(1/(-2))*2/(-3). -6/13 -2*3*((-342)/1178*-31)/(-12) 9/2 (72/(-24))/((-19)/(-114)*2*(-6)/(-34)) -51 Calculate (18/15)/((-18)/(-8640)*-12*18)*6. -16 Calculate ((-16)/8*(-7)/(112/328))/(4/(-4)). -41 Evaluate ((-17)/(-102)*-4)/(392/42). -1/14 Evaluate (-3135)/3762*(-18)/10*-16. -24 What is the value of (296/407)/(484/49247)? 74 What is ((-1114)/(-113071))/(16/(-28))? -1/58 What is (-43)/((-2365)/44)*285/(-6)? -38 Calculate ((-161)/69)/((-49217)/474). 2/89 What is the value of (6/(-4))/(115/69*(-90)/(-6400))? -64 What is the value of -4*212/(-32)*((-39)/(-26))/((-3)/(-4))? 53 Evaluate 100/3*(-4*6/72)/(42/(-189)). 50 (39/((-90090)/(-140)))/((-4)/18) -3/11 What is the value of ((-336)/(-588))/(19/(1862/(-2772)))? -2/99 Evaluate (63/(-6))/(((357/(-98))/(-17))/(20/(-35))). 28 Evaluate (-1)/(918/204*(-6)/(-135)). -5 Calculate (-6)/2*(4/36)/((-72)/(-27)). -1/8 What is -1*((-252)/42)/(-96)*80? -5 Calculate 104/(-78)*(-2964)/304. 13 Evaluate ((-68)/11)/(24264/400356). -102 What is the value of (((-2)/1)/(-2))/((432/(-984))/18)? -41 What is the value of ((-30)/(-18))/(56/(-8232))*(-2)/(-10)? -49 111/(17760/256)*30/4 12 Evaluate (6/(-16))/((-1148)/137760). 45 Calculate ((-32)/12*(-3)/(-10))/(((-4193544)/1605)/(-92)). -2/71 What is (-4)/8*-4*245/((-27195)/(-1776))? 32 Evaluate 10/(79/(2370/(-100))). -3 What is 2/((-67032)/(-2394)*2/8*-5)? -2/35 -12*(-862)/862*2*1*9/3 72 Calculate (475/95)/((-540)/1188). -11 Calculate -66*(3/5)/(5/(375/(-30))). 99 What is (1/(-45))/(-1)*(-38)/(912/300)*3? -5/6 What is (1/7*-17)/(31*30/11160*4)? -51/7 What is ((-68)/(-3))/((-2729)/(-8187))? 68 What is ((-4)/(-6))/(((-244)/305)/(252/30))? -7 What is (((-476)/68)/(10/4))/(1/(-2))? 28/5 Calculate 42/(-3)*(-208)/(-156)*(-54)/16. 63 Calculate ((-476)/(-14))/(22*28/308). 17 Calculate (1*-17)/((-12)/(-126)*861/164). -34 Evaluate (-78)/819*7*3*3/13. -6/13 What is the value of 6/34*(-8187234)/(-21891)? 66 Calculate (-15)/6*(-36)/2*-1*2/6. -15 Calculate ((-115)/(-46)*8/25)/((-2)/40). -16 Evaluate (((-8)/(-6))/(29*(-30)/(-1305)))/(4/(-40)). -20 What is the value of 118/(-1534)*2/4*108/(-126)? 3/91 3072/256*(-7)/(-84)*9 9 Calculate (1/((-5)/11))/(2/2). -11/5 (30/1)/((4/(-18))/(-154*(-34)/6732)) -105 (-72)/78*(2/2)/1*(-3)/3 12/13 Evaluate (-462)/11*(-1)/4*(2268/441)/3. 18 What is the value of ((-6)/7)/(130/14)*(-147030)/44109? 4/13 Calculate (9696/(-2121))/((-6)/(-42)). -32 Evaluate (-378)/(-6)*(-108426)/(-66969). 102 (3240/(-125))/(-72)*-2*2/12 -3/25 Evaluate (-237)/(136986/(-2023))*(-40)/1. -140 What is 1*5*(-936)/120? -39 What is the value of 329/(-7755)*5*18/3? -14/11 What is the value of (-3*(-144)/(-20))/(-18*(-42)/1890)? -54 Calculate 1/(40*(175/14)/25*(-72)/(-45)). 1/32 Calculate 4/(-35)*-14*195/728. 3/7 (-990)/11*660/792*(-8)/15 40 What is (-144)/(-28)*(-32)/(-6)*23975/(-6850)? -96 (462/(-9))/(33432/7164) -11 ((143379/716)/89)/((-2)/72) -81 (150/700)/((-1632)/448) -1/17 What is the value of 8/((-144)/45)*(-3)/(((-357)/(-196))/(-17))? -70 Calculate (13/65)/((-13)/65)*20/(-165). 4/33 What is (14/228)/(-7)*350/(22225/127)? -1/57 What is (-26)/(-5)*(324/144)/(7/(-350)*-15)? 39 Evaluate 1/(-60)*(-29880)/32868. 1/66 Evaluate ((-15)/24)/((-87325)/7984). 2/35 Calculate (((-36)/120)/(1/6))/(8/(88/11)). -9/5 ((-2325)/75)/((-198617)/86) 2/149 What is the value of (1*3/(-15))/(((-47272)/(-456))/(-311))? 3/5 What is the value of ((-704)/110)/(-8)*(-390)/1001*(-14)/(-8)? -6/11 What is the value of ((-4)/(-10)*(-875)/(-560)*2)/(30/348)? 29/2 What is the value of 45/3*4*6*-1*(-65)/(-390)? -60 ((-5334)/(-22225))/(((-18)/15)/(-2)) 2/5 Evaluate (-8)/12*297*14/(-63). 44 What is the value of 4*(10080/(-128))/105? -3 What is the value of (((-428)/321)/((-1)/(-1)))/(10/(-18)*2)? 6/5 What is ((-415)/(-25))/(1/455*13*-7)? -83 Evaluate (546/(-7280))/((-14)/(-9632)*-6). 43/5 What is the value of (825/(-242))/(-25)*(-968)/(-528)? 1/4 What is the value of ((-20)/(-210)*-7)/(2/18*20)? -3/10 What is the value of (((-5)/1)/45)/(101/3030)? -10/3 ((-672)/(-40))/(-14)*(560/(-36))/(106/(-318)) -56 Calculate (16/(-18))/(1550/153450). -88 Calculate (-1639)/745*(-270)/2079. 2/7 Calculate 1/((21777/(-459))/61). -9/7 Calculate ((28/(-21))/(1*-4))/(8/(-744)). -31 What is -36*((-17836)/(-441))/(-26)? 56 Evaluate 171/(-3)*3780/5985. -36 1591*(-74)/213564*-78 43 What is 59248/(-276)*-5*(-24)/(-280)? 92 (-6536)/14706*((6/15)/(-2))/((-28)/10) -2/63 Evaluate (-50)/(-15)*(-372)/496*(-8)/(-10)
{ "pile_set_name": "DM Mathematics" }
s big as 0? True Is -1 less than 13/181067? True Which is bigger: -0.2 or 5107284? 5107284 Which is smaller: 62187013 or 62187014? 62187013 Which is smaller: 2503621 or 2503632? 2503621 Which is bigger: 1584491 or 1584558? 1584558 Which is bigger: -2723403 or -2723092? -2723092 Which is greater: -71/10 or 731? 731 Are -10 and 2179277 equal? False Does -214 = -4373? False Which is smaller: -76 or 1517149? -76 Which is smaller: -878954 or -878960? -878960 Which is smaller: -0.2 or 5.431879? -0.2 Do 21 and -346 have different values? True Is 3408420 at most 3408419? False Is 75051252 less than or equal to 75051252? True Which is greater: 500 or 1194? 1194 Is -59683094 greater than or equal to -59683090? False Is -1.7 bigger than -342027? True Which is bigger: 5234355 or 5234358? 5234358 Which is greater: 986489 or 986156? 986489 Does -1 = 10167/5236? False Which is smaller: 125002 or 125078? 125002 Which is smaller: 0.1 or -143/40074? -143/40074 Which is bigger: 1 or -1209/766550? 1 Which is bigger: -1 or 137/168753? 137/168753 Is -231872 smaller than -232290? False Which is bigger: -1428 or -1434? -1428 Which is smaller: -251 or -96909? -96909 Is -136003 greater than -135974? False Which is smaller: -5821962 or -5821913? -5821962 Is -22 less than -80503/3602? False Which is bigger: 189344/269 or 705? 705 Is 7/11873942 at least -1? True Which is bigger: -21189/1172 or -18? -18 Are 538262 and 19377457/36 equal? False Does 98/4800953 = 1? False Is 1 greater than 2241.9327? False Which is bigger: -37/70240 or 1? 1 Is 19860890 < 19860888? False Which is bigger: 0.17857 or -1008? 0.17857 Is -0.8 greater than -53469543? True Is -5364 smaller than -391532/73? True Is -166/198183 at most as big as -1? False Is -201461009 less than or equal to -201461009? True Does 97272831 = 97272833? False Is -2 <= 0.0866786? True Which is smaller: -51521223 or -875860770/17? -51521223 Is 312/17 bigger than 34167? False Which is smaller: 12504/16385 or 0? 0 Do -7659646 and 0.2 have the same value? False Which is smaller: 1012/11999 or 0.072? 0.072 Which is smaller: -11886/104155 or 1? -11886/104155 Which is smaller: 13979 or 11878? 11878 Is 306973848 != 306973846? True Are 1 and -164.968217 non-equal? True Is 4144/19 < -8? False Which is bigger: 802295/9 or 89143? 802295/9 Which is smaller: 34940/17 or 83? 83 Is -0.4 < -17377993? False Is -272/87 < 0.66? True Which is bigger: -15/1235716 or 0? 0 Are 1 and -2/65924515 nonequal? True Are -512297 and -512318 equal? False Do 7/123332 and -0.4 have the same value? False Is 4640453/25 at least as big as 185619? False Is 10091573 != -0.4? True Which is greater: 1782781086 or -1? 1782781086 Which is greater: 158183 or 2435? 158183 Which is smaller: -94179/11312 or -9? -9 Which is greater: -1/1595431 or -1? -1/1595431 Is -0.13994 equal to 0.04219? False Is 11 greater than 43117/4148? True Is 12/13 > 35161? False Is 11252 greater than -1082? True Is 465 at most -10930.1? False Is 1.7 at most -7687612? False Is 3 != 1362119? True Is 19931 equal to 19902? False Is 69982320/41 greater than or equal to -0.1? True Which is smaller: -391 or -13862? -13862 Is 16434678 less than 0.04? False Which is smaller: -373248 or -373246? -373248 Is 50963 less than 51122? True Which is greater: -376895 or -2267? -2267 Which is bigger: -28359 or -0.002? -0.002 Is -0.0211 < 0.07004? True Is 24316.432 less than -0.1? False Which is greater: -14 or -9562/3? -14 Which is greater: -3.68 or -283106? -3.68 Which is greater: 37817/269 or 0.1? 37817/269 Is 2617390 >= 2617390? True Which is smaller: 14 or 32260? 14 Is 1/5 at most -1327496? False Is 1067102 <= 1067041? False Is -4630 at most -467586/101? True Which is bigger: -2 or 900720/17? 900720/17 Is -2/1335242227 greater than or equal to -1? True Are -28511 and -9323386/327 nonequal? True Is 2037492 > 2037492? False Which is smaller: 2/41812277 or 1? 2/41812277 Is -59446518 less than or equal to -59446519? False Which is smaller: -65 or 22/2483? -65 Is 1046691 at least as big as 0.21? True Which is smaller: 562.6 or 9.84? 9.84 Which is greater: 3047493/442 or 6894? 3047493/442 Which is bigger: -35171 or -35835? -35171 Is -917589 equal to 12? False Are -45/976879 and -1 equal? False Which is smaller: 279019 or 279007? 279007 Which is smaller: -105/4357586 or 0? -105/4357586 Which is greater: -2165/6137 or -1? -2165/6137 Which is smaller: -8422643/4 or -2105660? -8422643/4 Which is smaller: 14372 or 10269? 10269 Do -184590/3313 and -57 have the same value? False Is -10585887 != -10585934? True Which is smaller: -205337201 or -205337202? -205337202 Do -4675 and -172941/37 have different values? True Does 286351402 = 286351402? True Is 504162040 not equal to 504162041? True Does 18525918 = 18525919? False Is 0.060915 at most 8/29? True Are -21833 and -20693 non-equal? True Does 696090 = 696081? False Which is bigger: -1747 or -251437/144? -251437/144 Is 0 bigger than -1/33820724? True Which is smaller: 2269/2 or 0.02084? 0.02084 Which is smaller: 64665 or 67568? 64665 Which is smaller: 30778669 or 30778671? 30778669 Which is greater: -2 or -543346489? -2 Is -0.0038 at least 1520526? False Which is smaller: 19370 or 18370? 18370 Which is smaller: 0 or 39/432619? 0 Which is smaller: 0 or -60/10657? -60/10657 Is 92/836461 > 0? True Which is smaller: 260827514/5 or 52165502? 52165502 Which is smaller: 321 or 45843/143? 45843/143 Is -101106181 < -101106180? True Which is smaller: -27483 or -28179? -28179 Is 1 at most as big as 4772/15543? False Which is greater: 6 or -9849487? 6 Is 30143 < 7540? False Which is greater: -47292/17 or -2781? -2781 Do -123348 and 41/3 have different values? True Which is smaller: -199784 or -1/16? -199784 Which is smaller: -3812711 or 3? -3812711 Which is bigger: 206887311/2 or 103443655? 206887311/2 Is 1/457661 at most 1? True Is 6229 smaller than -11/46? False Which is smaller: 31139 or 30056? 30056 Which is greater: -13 or -24230/1897? -24230/1897 Which is greater: 633/44900 or 0? 633/44900 Which is bigger: 45027967 or 45027966? 45027967 Which is smaller: 236836147 or 236836145? 236836145 Which is smaller: 48286/2385 or 21? 48286/2385 Which is bigger: 453 or -1.4431? 453 Is 11836 >= 9397? True Are 21152 and 44/3 equal? False Which is greater: 1 or -1316/2358565? 1 Which is bigger: 1756001 or 1755985? 1756001 Which is smaller: -866692045 or -866692044? -866692045 Is -1 less than -13/4211191? True Is 27185 at least -2/137? True Is 5063 greater than or equal to 944? True Which is greater: -166624 or -166635? -166624 Which is smaller: -1/244360821 or 0? -1/244360821 Is 1529/6 at most 2/16255? False Which is smaller: -6 or 582818/9? -6 Is 5.9 < 3.105? False Which is bigger: 1223078/195 or 6272? 1223078/195 Which is smaller: -1 or -20197/8562? -20197/8562 Is -0.51704722 at least 0.1? False Is 78274859 bigger than -1/3? True Is 244042 smaller than 244074? True Is -42 > -39981/953? False Is -1662968 greater than 50? False Is -40197712 at least as big as -40197709? False Which is greater: 6/5 or 4995/11? 4995/11 Is 0 less than 1387052? True Are 3241 and 2527 equal? False Is 2 bigger than 70818968? False Are -454/175445 and 0 equal? False Do -28706/19587 and -1 have the same value? False Which is smaller: -338758 or -15921638/47? -15921638/47 Is 1336109 greater than or equal to 1336103? True Is -0.1086 at most 1494463? True Is -11329 greater than or equal to -7128? False Which is smaller: -73505 or -73256? -73505 Is 135829 at most 135466? False Is -1824165 less than -10944983/6? True Are 2/269 and -75208 equal? False Is -4870954 at most as big as -4870953? True Is 2545610/3 > 848536? True Is 34530/10211 smaller than 4? True Is 1025220 less than or equal to 1025400? True Which is smaller: -602089748 or 1? -602089748 Is 32631 < -4628? False Which is smaller: 1877/6 or -11/404? -11/404 Is 12987413 greater than or equal to 12987413? True Are -18/95 and 4.411 unequal? True Is -2396855 equal to -2396855? True Which is smaller: -3054365 or -26? -3054365 Is 1 greater than -34/41544781? True Which is greater: -43 or -13713/314? -43 Which is smaller: -726 or 0.05606? -726 Which is smaller: -6391 or -4239? -6391 Is 911754 greater than 911628? True Do -1 and -214/17870711 have the same value? Fals
{ "pile_set_name": "DM Mathematics" }
**6/40 + 4*v**5/15 + 41*v**2. What is the third derivative of a(l) wrt l? 420*l**2 - 18 Differentiate 346*f**4 - 143 - 38 - 192 - 268*f**2 + 268*f**2 with respect to f. 1384*f**3 Let s(r) = -16*r - 7. Let i(z) be the first derivative of -4*z**2 - 4*z - 2. Suppose 12*q - 18 = 54. Let v(y) = q*s(y) - 13*i(y). Differentiate v(b) wrt b. 8 Let v(n) = -85*n**4 + 165*n**2 - 11*n. Let h(u) = -29*u**4 + 55*u**2 - 4*u. Let i(y) = 11*h(y) - 4*v(y). Find the third derivative of i(g) wrt g. 504*g Let d = -248 + 361. What is the third derivative of d*z**4 - 50*z**4 - 18*z**2 - 43*z**4 wrt z? 480*z Let d(s) = -539*s**2 + 9*s - 352. Let y(x) = -269*x**2 + 4*x - 174. Let k(q) = -4*d(q) + 9*y(q). What is the derivative of k(p) wrt p? -530*p Find the first derivative of 163*k**4 - 249*k**2 + 249*k**2 + 89 wrt k. 652*k**3 Let u(m) be the first derivative of -12*m**6 + 238*m**3/3 + 280. What is the third derivative of u(r) wrt r? -4320*r**2 Let r(m) be the first derivative of 105*m**4/2 + m**3/3 - 139*m - 15. What is the first derivative of r(g) wrt g? 630*g**2 + 2*g Let j(g) be the second derivative of -19*g**6/10 + 87*g**2/2 - 73*g. Differentiate j(u) wrt u. -228*u**3 What is the third derivative of 24*r**3 + 8*r - 27*r**2 + 30*r**2 - 11*r wrt r? 144 What is the second derivative of 3*x + 944*x**5 - 1704*x**5 - 2*x**3 + 2*x**3 + 9 wrt x? -15200*x**3 What is the third derivative of -25*c**5 - 39*c**2 + 64*c**5 - 18*c + 2*c**4 + 19*c wrt c? 2340*c**2 + 48*c Let o be (2 + 2/(-1))/2. Let v(q) = -q**2 + 3. Let z be v(o). Find the second derivative of -5*y**3 + z*y + 0*y + y - 2*y wrt y. -30*y What is the second derivative of -22*t**2 + 0*t - 46 + 1 - 32 + 17 - 2*t wrt t? -44 Let n(p) = 4*p**3 + p**2. Let s(x) = -115*x**3 - 2*x**2 - 220. Let v(q) = -2*n(q) - s(q). What is the derivative of v(f) wrt f? 321*f**2 Let b = 16 + -7. What is the third derivative of 8*v**2 - 7*v**2 - b*v**3 + 0*v**2 - 4*v**2 wrt v? -54 Let s(a) be the third derivative of 89*a**6/60 + 65*a**5/6 - a**2 + 562*a. Find the third derivative of s(j) wrt j. 1068 Find the first derivative of 98 + 396*p**3 + 74*p**3 - 183 - 409 - 180 wrt p. 1410*p**2 Find the first derivative of 126*m + 260*m - 79 + 180*m wrt m. 566 Let a(z) be the third derivative of -7/60*z**5 + 0*z**6 - 16*z**2 + 0*z - 1/70*z**7 + 0*z**4 + 0*z**3 + 0. Find the third derivative of a(f) wrt f. -72*f Let t(i) = -4*i**4 - 6*i**3 + 17*i**2 + 6*i + 86. Let w(a) = -a**3 + a + 1. Let k(c) = -t(c) + 6*w(c). What is the first derivative of k(j) wrt j? 16*j**3 - 34*j Let c be 2 - 0 - (20 - -9). Let q = c + 29. Differentiate -5 + 3 + p**q + 0*p**2 - 2*p**2 wrt p. -2*p Let h(n) be the third derivative of 0*n + 0*n**3 + 0*n**4 + 0 - 15*n**2 - 3/40*n**6 - 3/20*n**5. What is the third derivative of h(g) wrt g? -54 Suppose 3*b - 302 = 4*g, g + 2*g - 309 = -3*b. What is the second derivative of -122*s + b*s + 2*s**5 + s**5 wrt s? 60*s**3 What is the first derivative of -143 - 32*i**2 - 24*i**2 - 3*i + 118*i**2 + 3*i wrt i? 124*i Suppose 0 = -2*p + 190 + 6. Suppose 0 = -4*b + 582 - p. Differentiate b*t - 3 - t**3 - 121*t with respect to t. -3*t**2 Let s = 1 - -1. What is the second derivative of 0*b + s*b**4 + b**4 - 2*b wrt b? 36*b**2 Suppose 0 = v, 0 = -2*b - 6*v + 3*v. What is the derivative of -6*i + b*i - 6 - 1 - 3 wrt i? -6 Let h(f) = -2*f - 13. Let p be h(-7). Differentiate -15*j**4 - 1142*j**2 + 1142*j**2 + p wrt j. -60*j**3 Let z = 228 + -225. Let a(o) be the first derivative of 0*o + 2 - 5/2*o**2 + o**z. What is the second derivative of a(l) wrt l? 6 Let j(n) be the first derivative of 11*n**4/4 + 4*n**3/3 + 178*n - 258. Differentiate j(i) wrt i. 33*i**2 + 8*i What is the third derivative of 4*y**3 + 15*y**3 + 332*y**2 - 202*y**6 - 10*y**3 - 9*y**3 wrt y? -24240*y**3 Suppose -20*m = -29*m + 27. Find the second derivative of -2395*a**3 - 16*a**5 + 12*a + 2395*a**m wrt a. -320*a**3 Suppose 0 = 6*v - 31 + 7. What is the third derivative of -13*c**2 + 18*c**v - 20*c**4 - 8*c**2 wrt c? -48*c Let a(t) be the first derivative of 35*t**4/4 + 40*t**3/3 + t**2/2 - 340. What is the third derivative of a(j) wrt j? 210 Let a be 30/9 + 4/6. Let b be (-2)/(-8) - (-81)/12. Differentiate 2*l**4 - 3*l**a + b*l**4 + 1 with respect to l. 24*l**3 Find the second derivative of 25*l**3 + 6*l**3 - 4*l**2 + 49*l + 33*l - 7*l**3 wrt l. 144*l - 8 Suppose 4 + 8 = 2*l + 3*t, -3*l + 19 = 5*t. What is the second derivative of 2*o**l - 3*o**3 - 3*o**3 - 11*o wrt o? -24*o Let y(j) = -j**3 + 17*j**2 + 14*j - 24. Let w be y(12). Find the third derivative of 26*r**3 - w + 864 - 2*r**4 + r - 16*r**2 wrt r. -48*r + 156 Let o be 2/8 - 57/(-12). Suppose -13 = -o*p - 3. What is the second derivative of -p*b - 2*b - 2*b - 6*b**5 + 2*b wrt b? -120*b**3 What is the third derivative of 3*d**5 + 166*d**2 - 52*d**4 - 309*d**2 - 90*d**4 - 85*d**2 - 4*d**5 wrt d? -60*d**2 - 3408*d Let z(f) = f**2 + 3*f. Let r(v) = 119*v**3 - 438*v**2 - 9*v. Let w(n) = r(n) + 3*z(n). Find the third derivative of w(u) wrt u. 714 Let c(v) be the third derivative of 1/2*v**3 + 0*v + 0*v**6 + 0 + 0*v**5 + 0*v**4 + 20*v**2 - 1/15*v**7. Find the first derivative of c(w) wrt w. -56*w**3 Let g(p) = -343*p**3 - 2*p**2 + 67*p - 4. Let z(c) = 3430*c**3 + 21*c**2 - 672*c + 42. Let a(m) = 21*g(m) + 2*z(m). What is the second derivative of a(u) wrt u? -2058*u Let v = -88 + 88. What is the third derivative of -3*m**5 + v*m**2 + 5*m**5 - 29*m**5 + 3*m**2 wrt m? -1620*m**2 Let o(g) = 39*g**3 - 8*g**2 - 64. Let m(c) = 39*c**3 - 7*c**2 - 62. Let t(b) = 7*m(b) - 6*o(b). What is the first derivative of t(x) wrt x? 117*x**2 - 2*x Let q be (-2)/(15/(-6)*1/5). What is the third derivative of 2*s**2 - 11 + 11 + 11*s**q + 5*s**2 wrt s? 264*s Let w(y) be the first derivative of -12/5*y**5 - 4 + 0*y**4 - 4/3*y**3 + 0*y + 0*y**2. Find the third derivative of w(m) wrt m. -288*m Let j be (11/4)/((-3)/(-12)). What is the third derivative of 22*p + 11*p**5 - 9*p**2 - j*p - 11*p wrt p? 660*p**2 Let v(m) be the second derivative of 10*m**3/3 + 51*m**2/2 - 5*m. Find the first derivative of v(j) wrt j. 20 Suppose -8 = 6*v - 8. Let l(w) be the second derivative of 0 + 0*w**4 - 5*w - 1/5*w**6 - 1/2*w**3 + v*w**2 + 0*w**5. Find the second derivative of l(o) wrt o. -72*o**2 Let m(p) = 63*p**4 - 194*p**2 + 3*p + 1. Let b(v) = 62*v**4 - v**3 - 193*v**2 + 2*v. Let a(r) = -3*b(r) + 2*m(r). What is the third derivative of a(n) wrt n? -1440*n + 18 Let j = -52 - -75. What is the derivative of 5 + j*p + 6 - 15 wrt p? 23 Let t(w) = 2*w - 2. Let m be t(1). What is the derivative of 0 - 4 - 17*x + m - 6 wrt x? -17 Find the third derivative of 3*i**6 - i**3 + i**3 + 1950*i**2 + 7*i**6 - 1712*i**2 wrt i. 1200*i**3 Differentiate -51 - 26 - 27 + 65*c**3 wrt c. 195*c**2 Suppose -3*g = -37*g. Let c(l) be the first derivative of 0*l**2 + 5*l - 2/5*l**5 + 0*l**4 - 2 + g*l**3. What is the first derivative of c(j) wrt j? -8*j**3 Let f(x) = -1090*x**3 - 749*x**2 - 17*x - 68. Let p(o) = 363*o**3 + 250*o**2 + 6*o + 24. Let s(n) = 6*f(n) + 17*p(n). Find the third derivative of s(v) wrt v. -2214 Let b be (3/4)/(36/(-40)*-2). Let y(z) be the third derivative of 3/2*z**3 + b*z**4 + 0*z + 8*z**2 + 0. Differentiate y(o) with respect to o. 10 Let y = 14 + -2. What is the first derivative of -4*d - y + 2*d**3 + 4*d + 3*d**3 wrt d? 15*d**2 Let o be 48/27 + 4/18. Suppose o*t - 5 = -d + 5, 0 = -4*d + t + 13. Find the third derivative of -3*n**d - n**4 - 3*n**2 + 8*n**4 + 3*n**4 wrt n. 168*n Let d(w) be the second derivative of w**2 - 1/30*w**6 - 14*w + 0*w**3 + 0 + 0*w**4 + 0*w**5. Differentiate d(m) wrt m. -4*m**3 What is the derivative of -18*w**2 + 5 + 18*w**2 - 4*w - 12*w**3 - 60 wrt w? -36*w**2 - 4 Let v(g) be the third derivative of g**5/60 - 23*g**4/3 - 397*g**3/3 - 155*g**2. What is the first derivative of v(m) wrt m? 2*m - 184 Let w(y) = -501*y**5 + 9*y**3 + 11*y + 65. Let c(v) = 125*v**5 - 2*v**3 - 3*v - 16. Let k(q) = -9*c(q) - 2*w(q). Find the second derivative of k(n) wrt n. -2460*n**3 Let q(h) be the first derivative of 571*h**3/3 + 40*h + 387. Find the first derivative of q(x) wrt x. 1142*x What is the third derivative of -88*v**2 - 25*v**3 - 208*v**2 - 108*v**2 - v**5 - 6*v**5 - 2*v**5 wrt v? -540*v**2 - 150 Let r(o) be the second derivative of -13*o**6/30 + o*
{ "pile_set_name": "DM Mathematics" }
t x(s) = 5*s**3 - 3*s**2 + 2*s - 2. Let l be (-1*(0 + -2))/1. Is x(l) a multiple of 15? True Suppose 3*k - 3*c = 372, -730 + 118 = -5*k + 3*c. Is 20 a factor of k? True Let h(q) = q**3 + 12*q**2 + 12*q + 6. Let x be h(-11). Let r = x - -10. Is 72/30*r*3 a multiple of 14? False Let l = 6 - -74. Is l a multiple of 20? True Let p(n) = n**2 - 6*n - 7. Let m be p(7). Let s(h) = -h**2 + h + 28. Is 10 a factor of s(m)? False Is 9 a factor of 166/10 - (-6)/(-10)? False Let m = -37 - -83. Is 7 a factor of m? False Let k(m) = -7*m + 27. Is 38 a factor of k(-7)? True Suppose 0 = z - 2*z + 48. Is 16 a factor of z? True Let y(i) = -i**3 + 5*i**2 + 7*i - 2. Let x be y(6). Let f = -5 + x. Is 9 a factor of (162/12)/(f/(-2))? True Suppose -4*g + 20 = -0*g. Suppose -2*h = -8, 71 = g*q - h - 0*h. Suppose -6 = -4*a - f + 4, 3*a - 3*f - q = 0. Is a even? False Let l = -52 + 115. Is 9 a factor of l? True Suppose 0 = -0*t + 2*t - 4*h - 30, -5*t - h + 31 = 0. Is 32 a factor of -2 + 1 + t + 58? True Let b = -48 - -127. Is 14 a factor of b? False Suppose m + 0*m = 5. Suppose -4*w - m*i + 2*i + 12 = 0, -2*w = -i + 4. Suppose -4*d = -9*r + 4*r + 80, d = w. Is r a multiple of 16? True Let q be (1/(-2))/((-1)/4). Suppose 0*y + 46 = -q*y. Let l = y - -40. Is l a multiple of 11? False Let j = -6 + 9. Suppose -j*c = 2 - 215. Suppose -5*y + c = 1. Does 5 divide y? False Suppose -c = -4*h - 1 - 4, -3*h + 5 = c. Suppose -j = q + 9 - 25, 0 = -q + c*j + 16. Suppose f - q = 2. Is 9 a factor of f? True Let t(a) = -a + 2. Let v be t(2). Suppose -5*z = -q - 254, v*z - 2*z + 116 = -4*q. Let k = z - 33. Is k a multiple of 9? False Suppose -7*b + 504 = -0*b. Is 13 a factor of b? False Suppose -2*c + 2*f = 5*f + 9, -4*c - 6 = 2*f. Let h = 0 - c. Let g(p) = -p + 10. Is g(h) a multiple of 5? True Let k = -118 - -67. Let j = 84 + k. Does 11 divide j? True Let i(m) = m**3 - 3*m**2 + 4*m + 5. Let s(j) = -j**3 + 3*j**2 - 3*j - 5. Let r(h) = -4*i(h) - 5*s(h). Let o be r(5). Suppose -v + o = v. Does 9 divide v? False Let z be (-2)/(-2)*(1 - -2). Suppose a - 2*g = -5*g + 51, 113 = z*a + g. Is a a multiple of 18? True Suppose -28 = -d + 3*d. Let q = d + 25. Is 5 a factor of q? False Suppose -7*g + 8*g - 4 = 0. Suppose -5*j + 335 = 5*y, -4*y + j = -g*j - 223. Is y a multiple of 31? True Suppose -n + 0*n + 20 = 3*j, n = -j + 20. Does 5 divide n? True Let s = 29 - 36. Let n be 1/(((-4)/3)/(-4)). Does 4 divide n/s - (-93)/21? True Let z = 16 - 27. Suppose 0*s + 3*s = 3*n - 15, -4*n + s = -8. Is 11 a factor of (0 + -1)/n*z? True Is (-4)/(-3) - 684/(-54) a multiple of 7? True Let a(r) = 4*r**2 - r + 2. Is 11 a factor of a(-3)? False Let n(l) = -5*l**3 + 14*l**2 - 20*l - 9. Let r(u) = 9*u**3 - 28*u**2 + 40*u + 19. Let b(a) = -11*n(a) - 6*r(a). Is b(-15) a multiple of 12? True Is 220 - (-1 + 2)/(-1) a multiple of 13? True Let t(r) = 3*r**2 + 3 - r**2 - 6*r**2 + 9*r. Let o(y) = -y**2 + 1. Let m(z) = -3*o(z) + t(z). Is 7 a factor of m(7)? True Suppose 0*p - 132 = -2*j + 4*p, 5*p = 0. Does 5 divide j? False Let t(z) = z**3 - 7*z**2 + z + 9. Does 13 divide t(8)? False Let d(m) = 10*m**2 + 8. Let h(r) = 11*r**2 - r + 9. Let u(s) = 6*d(s) - 5*h(s). Is u(-3) a multiple of 14? False Is 3*1 - 195/(-5) a multiple of 14? True Suppose -4*f = 4 - 16. Is f even? False Suppose 7*q + 960 = 10*q. Is q a multiple of 16? True Let l be (-1 - -3)/(7/14). Suppose w + 0*g + 2*g = 52, -l*w + 5*g + 143 = 0. Is 12 a factor of w? False Let i = 103 - 54. Does 7 divide i? True Let l(d) be the third derivative of 1/6*d**4 + 1/3*d**3 + d**2 + 0*d + 0. Is 7 a factor of l(2)? False Suppose 0 = 44*p - 48*p + 40. Does 5 divide p? True Let a(q) = q + 3. Let s be a(-3). Suppose 2 = r - s. Suppose -5*j + 43 + r = 0. Is 5 a factor of j? False Let y = 0 - -2. Suppose 3*x = y*x + 3. Suppose -s = -0*s - x. Does 3 divide s? True Let n = 7 + 0. Is n a multiple of 7? True Let o be (-1)/3*-3 - 5. Does 7 divide (-1 + 47)*o/(-8)? False Let u be -1*2 - (0 + -5). Suppose -3*z = 3*h - 126, h = -z + 2*h + 32. Suppose -d + z = 4*t, -4*t + d + 13 = -u*t. Is t a multiple of 5? True Let n(f) = -12*f**2 + 2*f. Let g(t) = -t**2 + 1. Let v(q) = 3*g(q) - n(q). Is v(2) a multiple of 10? False Let v(b) = 5*b**2 + b - 13. Is v(-7) a multiple of 15? True Suppose 5*i - 19 = -4. Suppose i*a = 14 + 22. Is 7 a factor of a? False Let b(d) = 4*d**2 + 2*d + 43. Does 4 divide b(0)? False Let o = 144 + 4. Is 9 a factor of o? False Let i(y) = -y**3 - 3*y**2 - 2*y + 2. Let h be i(-2). Let m be 125/(-45) - h/9. Let f(j) = 2*j**2 + 4. Is f(m) a multiple of 9? False Suppose 2*n + 1 = b + 7, 4*b = -5*n + 41. Suppose -b*r - r + 30 = 0. Is r + -1 - (1 - -1) a multiple of 2? False Does 19 divide (9/12)/(4/304)? True Let w(s) be the third derivative of -7*s**4/24 - 4*s**3/3 + s**2. Let o = 3 - 9. Does 17 divide w(o)? True Let s(v) = 2*v**3 - 3*v**2 + 2. Let q be 8/10*(-5)/(-2). Is s(q) a multiple of 2? True Let f be 37 - -1 - (-4 - -7). Suppose -2*o + o + f = 0. Does 21 divide o? False Let x = 93 - 77. Does 4 divide x? True Let u = 10 - 4. Does 4 divide u - -3*(-4)/6? True Suppose -5*j + 29 = -16. Is j a multiple of 9? True Suppose 84*a - 95 = 83*a. Is a a multiple of 5? True Is 2/4*(-384)/(-8) a multiple of 12? True Let y(q) = -2*q**2 - 13*q + 4. Is y(-4) a multiple of 8? True Let t be (9/(-4))/((-6)/(-16)). Suppose -1 = -z - 0*z. Is 9*((-26)/t)/z a multiple of 13? True Let s be 46 - (-1 + 0)*1. Let n = s + -13. Is 17 a factor of n? True Let r be 248/6*3/2. Suppose 0 = -7*s + 2*s + 2*z + r, -5*s = z - 74. Does 14 divide s? True Let w(m) = 2*m + 31. Is 19 a factor of w(13)? True Let a = -8 + 13. Let c = a + 28. Is c a multiple of 11? True Let r be (9/12)/(1/4). Suppose -r*s - 2*s = 0, -5*z - 2*s = 10. Does 11 divide 32/3 + z/(-6)? True Let q = -7 - -13. Suppose -28 = -q*p + 2*p. Suppose 5*k - 8 = p. Is 2 a factor of k? False Suppose -3*m + t = -0*t - 843, -5*t = 15. Is 13 a factor of m? False Let s = -97 - -214. Is 18 a factor of s? False Suppose 3*l - 2*a = -3*a + 33, -3*l + 33 = 5*a. Is l even? False Suppose -3*h = 4*w - 550, -4*h + 728 = 8*w - 4*w. Is 11 a factor of h? False Suppose -5*d + 94 = n, 2*n + 3*n = -2*d + 424. Is n a multiple of 14? True Suppose -4*u = -16 - 8. Suppose 0 = 2*s - u*s - 64. Is (-206)/(-8) - 4/s a multiple of 20? False Let a = 16 - -32. Suppose -2*k + r + 0*r + a = 0, 2 = r. Let x = k - -3. Does 14 divide x? True Suppose 3*m + 0*s - 2*s - 2 = 0, 40 = 5*m + 4*s. Let y be 6/m*(-2)/(-3). Is 1*(-3 + y - -8) a multiple of 4? False Let z(d) = d**3 + 12*d**2 + 3*d - 20. Does 10 divide z(-8)? False Let y(a) = a**2 + a + 7. Let i be y(-5). Is (4/(-12))/((-3)/i) a multiple of 3? True Let m be 7/(-2) - 6/(-4). Let q = 14 - 6. Is 10 a factor of 84/q - m/(-4)? True Let t(n) = -n**3 + 14*n**2 - 13*n + 15. Does 5 divide t(13)? True Does 15 divide (-4)/((-8)/(-6)) - -94? False Let s = -4 - -7. Suppose -2*a + s*a - 6 = 3*p, -4*a + 5*p = -38. Is 3 a factor of a? True Suppose 13*v = 18*v - 115. Is 14 a factor of v? False Suppose 4*f - f + w = 43, 0 = 4*f - w - 62. Is 3 a factor of f? True Suppose 5*g + 4*l - 13 = 0, 4*g - l - 29 = 2*l. Suppose 2*h + 215 = 7*h + g*b, b = -3*h + 121. Does 25 divide h? False Is -4 - ((4 - 5) + -139) a multiple of 17? True Suppose -2*i - x + 190 + 63 = 0, -5*i - 2*x + 632 = 0. Is 14 a factor of i? True Let r = -16 + 16. Suppose r = 7*p - 2*p - 90. Is 6 a factor of p? True Let a be (15*-1)/(4/(-12)). Let n = a + 7. Does 26 divide n? True Suppose -5*y + 9*u - 4*u = 10, 4*u = y + 17. Let g = 120 - 8. Suppose -k = y*k - g. Is 14 a factor of k? True Let h be (-9 - -33)*8/6. Suppose -4*c = -3*c - h. Is 32 a factor of c? True Let j be 6/(-1)*(-2)/4. Suppose -9 = -0*s - j*s. Suppose 0 = -s*h - 0*h + 33. Is h a multiple of 7? False Let s be -2 + (-1 - -2) + 2. Let k(t) = -t. Let z be k(s). Let g(h) = -13*h + 1. Is 7 a factor of g(z)? True Let u(q) = q**3 - q**2 - q + 29. Is u(0) a multiple of 6? False Suppose -3*w - 2*c + 508 = -3*c, 0 = -c - 1. Is 17 a factor of w? False Suppose -5950 = -20*p + 3*p. Is p a multiple of 25? True Let h be ((-6)/9)/(4/(-42)). Let i(z) = z**2 - 5*z + 4. Is 6 a factor of i(h)? True Let t = -156 - -219. Is t a multiple of 9? True Let b be (2 - 3) + (7 - 1). Let u be 32 + b/(5/2). Let p = 47 - u. Is p a multiple of 5? False Su
{ "pile_set_name": "DM Mathematics" }
highest common factor of 33 and 1034? 11 Calculate the highest common factor of 18927 and 27. 27 What is the highest common divisor of 202 and 4? 2 What is the highest common factor of 63 and 105? 21 What is the greatest common divisor of 52811 and 11? 11 What is the greatest common factor of 45 and 225? 45 Calculate the greatest common factor of 105 and 133. 7 What is the greatest common divisor of 78 and 663? 39 Calculate the greatest common divisor of 8050 and 4186. 322 Calculate the highest common factor of 256 and 8. 8 What is the highest common divisor of 70 and 105? 35 Calculate the greatest common divisor of 15455 and 55. 55 Calculate the highest common factor of 65 and 169. 13 What is the greatest common divisor of 6161 and 305? 61 What is the greatest common divisor of 32 and 568? 8 Calculate the highest common factor of 4 and 131. 1 What is the greatest common factor of 1528 and 144? 8 Calculate the greatest common factor of 236 and 4. 4 Calculate the greatest common divisor of 15 and 9885. 15 What is the highest common divisor of 988 and 190? 38 Calculate the greatest common factor of 6838 and 182. 26 Calculate the greatest common divisor of 161 and 5129. 23 Calculate the highest common factor of 170 and 5185. 85 What is the highest common factor of 2116 and 4? 4 Calculate the greatest common factor of 336 and 399. 21 Calculate the highest common factor of 39022 and 716. 358 What is the highest common divisor of 534 and 6? 6 Calculate the highest common divisor of 7421 and 41. 41 What is the highest common factor of 75 and 100? 25 What is the highest common divisor of 33 and 2409? 33 Calculate the greatest common factor of 1591 and 43. 43 What is the greatest common factor of 610 and 183? 61 Calculate the highest common factor of 15 and 4965. 15 Calculate the greatest common divisor of 333 and 252. 9 What is the highest common divisor of 15 and 10? 5 Calculate the greatest common divisor of 741 and 156. 39 What is the greatest common factor of 162 and 14? 2 What is the greatest common factor of 32 and 4984? 8 What is the greatest common factor of 222 and 42? 6 Calculate the highest common divisor of 989 and 161. 23 What is the greatest common divisor of 21 and 35? 7 Calculate the greatest common divisor of 49 and 294. 49 What is the highest common divisor of 70 and 238? 14 What is the greatest common factor of 3844 and 12? 4 What is the highest common divisor of 16 and 264? 8 What is the greatest common factor of 120 and 390? 30 What is the greatest common divisor of 31 and 155? 31 What is the greatest common factor of 25 and 1625? 25 What is the highest common factor of 18 and 14733? 9 Calculate the greatest common divisor of 798 and 42. 42 Calculate the greatest common factor of 219 and 15987. 219 Calculate the highest common divisor of 222 and 36. 6 Calculate the greatest common divisor of 37 and 29. 1 What is the highest common factor of 49 and 1106? 7 Calculate the highest common factor of 60 and 1310. 10 Calculate the greatest common factor of 5 and 5. 5 Calculate the greatest common factor of 702 and 72. 18 Calculate the highest common factor of 2233 and 77. 77 Calculate the highest common divisor of 156 and 78. 78 What is the greatest common factor of 297 and 6? 3 Calculate the greatest common factor of 19 and 40983. 19 What is the greatest common divisor of 83 and 581? 83 Calculate the highest common factor of 14 and 994. 14 What is the greatest common factor of 814 and 6142? 74 What is the highest common divisor of 351 and 208? 13 What is the greatest common factor of 275 and 40? 5 Calculate the highest common divisor of 507 and 39. 39 Calculate the highest common factor of 20 and 18670. 10 What is the highest common divisor of 64 and 16? 16 What is the greatest common factor of 20 and 2870? 10 Calculate the greatest common factor of 20 and 15. 5 Calculate the highest common factor of 306 and 68. 34 What is the highest common factor of 136 and 20? 4 Calculate the greatest common divisor of 231 and 99. 33 What is the highest common divisor of 24 and 96? 24 Calculate the greatest common factor of 19 and 6593. 19 What is the greatest common factor of 1586 and 338? 26 What is the greatest common factor of 353 and 92839? 353 What is the greatest common divisor of 35 and 5103? 7 Calculate the highest common factor of 351 and 156. 39 What is the highest common divisor of 645 and 165? 15 What is the highest common divisor of 1034 and 47? 47 Calculate the highest common divisor of 12 and 18366. 6 Calculate the highest common divisor of 1258 and 102. 34 What is the highest common divisor of 1726 and 2? 2 Calculate the greatest common divisor of 116 and 174. 58 What is the highest common divisor of 1120 and 84? 28 What is the highest common factor of 272 and 24? 8 Calculate the highest common divisor of 29 and 27463. 29 Calculate the highest common factor of 69 and 2553. 69 What is the highest common factor of 286 and 52? 26 What is the highest common divisor of 25 and 725? 25 What is the greatest common factor of 266 and 114? 38 What is the highest common divisor of 1845 and 2009? 41 Calculate the greatest common divisor of 68 and 170. 34 What is the highest common factor of 731 and 34? 17 What is the greatest common factor of 345 and 240? 15 Calculate the highest common factor of 175 and 125. 25 What is the greatest common factor of 27 and 48717? 9 Calculate the greatest common divisor of 148 and 64. 4 What is the highest common factor of 21 and 4809? 21 What is the highest common divisor of 13 and 52? 13 What is the highest common divisor of 1265 and 575? 115 What is the greatest common factor of 28 and 812? 28 What is the highest common factor of 60 and 1350? 30 Calculate the greatest common divisor of 19 and 5491. 19 What is the highest common divisor of 240 and 15? 15 What is the greatest common divisor of 105 and 35? 35 Calculate the greatest common divisor of 45 and 2340. 45 What is the highest common divisor of 544 and 32? 32 What is the highest common factor of 84 and 2919? 21 What is the greatest common divisor of 3411 and 27? 9 Calculate the greatest common factor of 80 and 440. 40 What is the greatest common factor of 14 and 378? 14 Calculate the greatest common factor of 198 and 11385. 99 What is the highest common divisor of 335 and 67? 67 What is the greatest common divisor of 3900 and 20? 20 What is the greatest common factor of 9100 and 300? 100 What is the highest common divisor of 556 and 8201? 139 Calculate the greatest common factor of 243 and 189. 27 Calculate the greatest common factor of 66 and 435. 3 Calculate the greatest common factor of 51 and 833. 17 Calculate the greatest common factor of 20 and 55. 5 What is the highest common factor of 69 and 7958? 23 What is the highest common divisor of 446 and 14941? 223 Calculate the highest common factor of 35 and 1445. 5 What is the greatest common factor of 120 and 345? 15 Calculate the highest common factor of 16 and 9568. 16 What is the highest common factor of 3835 and 845? 65 Calculate the highest common divisor of 456 and 7125. 57 What is the greatest common factor of 376 and 141? 47 Calculate the highest common divisor of 22 and 495. 11 Calculate the highest common divisor of 315 and 2016. 63 Calculate the greatest common divisor of 11 and 187. 11 Calculate the greatest common factor of 5 and 1175. 5 Calculate the greatest common factor of 8051 and 97. 97 What is the highest common factor of 78 and 6? 6 Calculate the greatest common factor of 141 and 376. 47 What is the highest common factor of 42 and 10689? 21 Calculate the greatest common divisor of 24 and 138. 6 Calculate the greatest common factor of 517 and 297. 11 Calculate the highest common divisor of 6708 and 84. 12 What is the greatest common divisor of 48 and 496? 16 What is the highest common divisor of 95 and 551? 19 What is the highest common factor of 11918 and 590? 118 What is the greatest common divisor of 161 and 112? 7 Calculate the greatest common factor of 280 and 1440. 40 Calculate the highest common divisor of 341 and 713. 31 Calculate the highest common factor of 8037 and 47. 47 Calculate the greatest common factor of 55 and 375. 5 Calculate the greatest common divisor of 11
{ "pile_set_name": "DM Mathematics" }
alculate -2 + 9 + -6 + 9. 10 Calculate 3 + 2 + -10 + 12 + 1. 8 Calculate -5 + 2 + 6 + 12 + -20. -5 Calculate 1 + 6 - -9 - 9. 7 What is the value of 5 + -6 + -5 + 2 + 3? -1 -1 - -2 - (15 + -11) -3 What is the value of (12 - 5) + -6 - 5? -4 What is 3 + -4 + 6 + -4? 1 What is the value of (-3 - (2 + -4)) + -13 - -5? -9 Evaluate (8 + 6 - 14) + -6. -6 -7 - (-2 - 0 - (-38 - -37)) -6 Evaluate 0 - ((0 - 0) + 8 - 3). -5 (19 - 11) + (-2 - 7) - -9 8 What is the value of (-2 + 6 - (-1 + 1)) + -1? 3 Calculate 9 - (-5 + 12 + 4). -2 What is the value of -4 + 2 + 0 + 3 - 4? -3 Calculate 0 + -3 + (3 + 4 - 5). -1 What is the value of (-3 - 0) + (49 - 50)? -4 What is the value of (0 - 3) + (25 - 23)? -1 What is the value of 2 + 1 + 1 + 0? 4 2 + (-1 - -1) + -4 -2 Calculate 0 + -2 + 2 + (-15 - -9). -6 What is the value of (22 - 12) + -2 + -7? 1 Calculate (-7 - (-6 + 0)) + 3. 2 Evaluate -16 - ((-11 - -7) + -4). -8 Evaluate 6 - (1 - (-15 + 4)). -6 What is the value of 0 + 3 + (-9 - -7)? 1 What is the value of (-1 - (0 - 2)) + -26 + 23? -2 Evaluate 1 + (-7 + 12 + -7 - 1). -2 Evaluate (2 + -2 - -2) + -10 + 4. -4 Evaluate 2 + 1 + 17 - 6 - 7. 7 What is the value of 5 + (3 - 7) + 3 - 6? -2 Evaluate 3 + (1 - 6) - -4 - 0. 2 What is the value of -2 + 1 + -3 + (0 - -1)? -3 Evaluate -4 - (5 + (-3 - 1)). -5 Calculate 3 - (1 + -1 - 2). 5 Calculate 3 + -2 + -3 + 7. 5 Calculate (-15 - -1) + -51 + 58. -7 (4 - 11) + -1 + 1 - -3 -4 Evaluate -11 + 6 - -8 - 8. -5 Calculate (5 - 12 - -7) + 2. 2 What is the value of 1 + (-3 - (-2 + 1))? -1 Calculate (3 - 14) + 13 + (-5 - 0). -3 What is 7 - (3 - 1) - 2? 3 Evaluate 10 + (-3 - 7) + -2. -2 4 + (-1 - 1) - -4 6 4 - ((-5 + 10 - -4) + -5) 0 -2 - (2 + -3) - (-8 + 6) 1 What is the value of (4 - (3 + 0) - -1) + 1? 3 Calculate (-2 - (-4 - -2)) + -1 - -1. 0 Calculate (0 - (-2 + 1 - -14)) + 5. -8 What is 8 - 2 - ((-7 - 1) + 11)? 3 Calculate 1 + (4 - (1 - 3) - 3). 4 What is (-4 - (-10 - -3)) + 1? 4 What is -13 + 18 - (1 - -1)? 3 Evaluate 0 + 2 + (3 - (3 + -3)). 5 Calculate 0 + (-3 - -11) + 0 - 16. -8 Evaluate 3 + (-6 - -3 - 0) + -3. -3 Calculate 3 + 3 + (1 - 5). 2 What is the value of 0 - (5 + -5 + 0 + 4)? -4 Calculate -2 + (-8 - -2 - (-1 - 1)). -6 What is 7 - (-1 - -1 - (2 + -5))? 4 What is the value of -4 - (0 + 0 - 6)? 2 What is 0 + -2 + 0 + 1 + -1? -2 Calculate 2 - 1 - -1 - (-3 - -7). -2 What is (6 - (-2 - -2) - 0) + -7? -1 What is the value of 0 + (2 - 2) + (1 - -4)? 5 What is 1 + 4 + -5 - -2? 2 (6 - -1) + -7 + (1 - 6) -5 Calculate -2 + (1 - -5) - (-7 - -16). -5 4 + -16 + 4 - -8 0 Evaluate (-7 - 0) + (-5 - -11) + 6. 5 Calculate -1 - (-3 - (-11 + 1)). -8 What is 5 - (8 - (0 - -4)) - -2? 3 What is 1 - 16 - -2 - (-21 - -16)? -8 What is -14 + -10 + 24 + -7? -7 Calculate 0 - (-3 - 1) - 0. 4 Calculate (-4 - -1) + 0 + 5 + 3. 5 What is the value of (85 - 95) + (0 - -9)? -1 What is 1 - (3 + -5 + -4 + 7)? 0 What is -6 + (1 - 0) - -2 - -8? 5 What is the value of 0 + (4 - 7) - -3? 0 What is -1 + (3 - -1) - (2 + -3)? 4 What is the value of 2 + 1 + (-3 - (-1 + -1))? 2 Evaluate 5 - -8 - 1 - 7. 5 What is 1 - (-2 + 1) - (8 + -11)? 5 What is the value of (-6 - (2 - 12)) + -1? 3 Calculate 4 + (7 - (14 - 0)). -3 Evaluate -9 + 2 + 1 - (-6 + 3). -3 -4 - (3 - 15) - 10 -2 (0 - (-11 - -8)) + 0 3 Evaluate 15 + -19 + 2 + 1. -1 Calculate (-26 - -20 - (0 + 3)) + 1. -8 Calculate -2 + 4 - -2 - 5. -1 0 + 10 + -7 + -9 -6 Evaluate -3 + (-2 - -2) + 0 + -1. -4 Calculate -4 + 1 + 8 + -4. 1 What is -5 - (5 + 0 - 8)? -2 Evaluate (38 - 42) + (-1 - -5). 0 Evaluate (-3 - (-5 + -2)) + 1. 5 Evaluate -2 - -3 - 6 - -5. 0 Calculate (-1 - 1) + 4 + (1 - 0). 3 Calculate -5 + (8 - (4 + 1)) + -3. -5 Evaluate -2 - (-1 - 1 - -5 - 0). -5 What is the value of (3 - -6) + 4 + -9 + 1? 5 Evaluate 2 + (-5 + 3 - 2 - 2). -4 -1 + (4 - 7 - -3) + 4 3 What is the value of 4 - 0 - (5 - (8 - 6))? 1 Calculate -5 - (0 + -6 + 2). -1 What is (-26 - (-30 + 4)) + (1 - -5)? 6 What is the value of (7 - 10) + -1 - -2? -2 What is the value of -5 + 0 - (45 + -56)? 6 What is (-1 - -1) + 0 - (11 + -10)? -1 Calculate 8 - (7 - (6 - -1)). 8 6 + (-5 - -6) + -11 - -3 -1 What is the value of -3 + -11 + 12 + (3 - 7)? -6 Calculate 5 - (-16 + 10) - 3. 8 What is (-2 - (-4 - -4)) + -1 + 3? 0 What is the value of -3 + -2 + 3 + -5? -7 What is the value of 1 - (0 + -5) - (-105 + 110)? 1 Evaluate -1 + (2 - -10) - (-20 - -26). 5 6 + 5 + 4 + 4 + -16 3 Calculate -4 - (9 - 4 - 6). -3 72 + -62 + (-4 - 0) 6 What is 1 - ((4 - 2) + -1)? 0 Calculate 4 + 0 + -1 + (-5 - -4). 2 0 + 4 - (8 - (1 + 3)) 0 Evaluate 2 - (-3 - (-9 + 2 + -3)). -5 (0 - (4 + 5 + -6)) + 5 2 Evaluate (3 - -1 - (5 + -7)) + -1. 5 Calculate (-2 - -4) + (-2 - -5) + -1. 4 5 + 3 + (-3 - -1) 6 What is the value of (-2 - -4) + -8 + 5? -1 What is the value of -57 + 68 - (6 + 0)? 5 1 + 0 + -8 + 12 5 Evaluate (1 - (6 - 5)) + -2. -2 Calculate (-1 - -7) + -10 + -1. -5 What is 10 - -2 - 7 - 1? 4 Evaluate 9 + 1 - (-24 - -34). 0 Evaluate (8 + -1 - -2) + -5. 4 (4 - 11) + -8 + 14 -1 Calculate 7 - (3 + (0 - 1) + 4). 1 Evaluate (3 - -1) + (3 - 2). 5 -20 - -22 - (3 - (-1 - -1)) -1 -27 + 36 + (2 - 10) 1 What is the value of -6 - (-7 - -1) - (0 + 1)? -1 What is 5 + (-8 - -13 - 5) - 8? -3 Evaluate (41 - 34) + 2 + -9. 0 Calculate 2 - (-1 - -5 - 3). 1 What is the value of -5 + (0 - ((2 - 5) + 3))? -5 What is the value of 5 - (2 + -1 - (-5 + 2))? 1 -4 + 4 + -3 + -2 -5 Evaluate -3 - (8 + -10 - 7). 6 What is the value of 6 - (-1 + 2) - 13? -8 Evaluate -2 - -6 - (-1 + -1 + 2). 4 Calculate 1 + -3 + -1 + 71 + -69. -1 What is the value of 3 + -1 + 3 + (2 - 8)? -1 What is the value of ((2 - -2) + -3 - 2) + 5? 4 (0 - -4) + 10 + -21 + 14 7 6 + -7 + 4 + 1 - 7 -3 What is the value of 12 + -8 + (10 - 21)? -7 Evaluate 1 + (2 + 6 - (11 + -7)). 5 What is the value of 7 + (7 - 0 - 8)? 6 What is the value of -3 - (-1 + 2 + -4)? 0 Calculate -17 + 14 + 1 + 2. 0 -1 + 2 - (9 + -18 + 6) 4 Calculate -7 - (-5 - 11) - 9. 0 Evaluate (-3 - 1) + (22 - 21). -3 What is the value of -3 - (6 - 4 - 9)? 4 What is (-2 - -8) + -3 - 6? -3 What is 22 - 21 - (1 - -6)? -6 What is the value of 6 + 2 + -7 - (1 + -1)? 1 Calculate -5 - ((-1 - -4) + -44 + 40). -4 What is 9 + 0 - ((2 - 4) + 6)? 5 5 + -2 + (4 - 4) 3 What is -2 - (1 - (-1 - 1 - -1))? -4 What is the value of -6 + (2 - -1) - (2 + -1)? -4 Calculate -2 + -8 + 9 + 0. -1 Evaluate -2 + 1 + 1 + (-6 - -7). 1 Evaluate 2 + 2 + 0 + 0 + -4. 0 -3 + (-3 - -2) - -5 1 1 + (-7 - -4) + 3 1 What is -2 + -1 + 7 + -5? -1 Evaluate -4 + (9 - 2) + -3. 0 What is 3 + 0 + -7 + 5 - 0? 1 What is the value of -1 - (-8 + (3 - -2) - 2)? 4 Evaluate -1 - 1 - -4 - -2. 4 What is the value of -1 + 8 + -4 - (3 + 5)? -5 What is the value of 1 + (4 - 3) - 7? -5 What is 2 + (-4 - -5 - -1)? 4 Evaluate 3 - ((3 - 3) + 4). -1 Calculate (1 - 4) + (0 - (-1 + 0)). -2 What is (-3 - (6 - 3)) + 1 + 1? -4 What is -2 - ((-4 - 0) + 2 + 1)? -1 Calculate -2 + 6 + (0 - 0) + 1. 5 -2 + -3 - (-10 + 3) 2 4 - -4 - 2 - 10 -4 Evaluate 1 - (4 + (0 - 2)) - -2. 1 (2 - 0) + -3 - -7 6 What is the value of 21 + 15 + -42 - (1 - 7)? 0 Calculate 41 + -39 - (7 + 0). -5 Evaluate -2 - (3 - (-5 + 12)). 2 Calculate 6 + -2 + (1 - 1). 4 What is -4 + 3 - -2 - (10 + -7)? -2 What is (-1 + -6 + 2 - -5) + 1? 1 (10 - 14) + 8 + 2 + 0 6 Evaluate 3 + -10 - (-2 + 2 + -4). -3 Calculate -1 + (5 - (-3 + 12) - -10). 5 What is -5 + (6 + -3 - 0)? -2 Calculate 17 - (6 - -1) - 8. 2 Evaluate -1 - (-5 + 1 - -4). -1 What is 3 - (-1 - -7 - (74 - 67))? 4 Calculate 9 - (16 + -8) - 12. -11 What is -5 + 1 + 1 + 4? 1 What is -3 + (-7 - -6 - -2)? -2 Evaluate -5 + 9 - 3 - -4. 5 What is (0 - -3) + 4 + -10 - -1? -2 (1 - 0 - 0) + -10 + 9 0 Calculate 3 - (1 + (4 - 4)) - -2. 4 Calculate -2 + 7 + (-4 - -2) - 4. -1 What is -13 - (-19 + 8 - -4)? -6 What is the value of 2 - 1 - 2 - (31 - 30)? -2 -9 + -4 + (14 - -6) 7 What is the value of (-4 - (2 - 10)) + -5 + -4? -5 -1 + (-4 - (-8 - -3)) + 3 3 Calculate 9 - 0 - (-1 - -6). 4 2 + -7 - (5 + -5 - 1) -4 Calculate -21 + 16 + 12 + -15. -8 What is (-7 - (-4 + 4)) + 4? -3 Evaluate (2 - 5 - -5) + 3. 5 Evaluate -14 + 16 + (0 - 1). 1 What is the value of (7 - 1) + -4 + -7 + 3? -2 4 + -1 + -11 + 6 -2 Evaluate -2 - 2 - (-4 + -3). 3 What is 0 + -1 - -4 - (1 + 2)? 0 Calculate 1 - (-3 + 0) - 3. 1 What is the value of -12 + -1 + 22 + -15? -6 What is the value of (0 -
{ "pile_set_name": "DM Mathematics" }
h) = 2*h + 42. Let j(s) = 3*v(s) - 5*z(s). Let c(f) = f. Give c(j(t)). -t + 48 Let s(n) = -19*n**2 - 100*n + 100*n. Let f(j) be the first derivative of 2*j**3/3 + 6. Give f(s(x)). 722*x**4 Let a(l) = -7*l. Let s(n) be the first derivative of -1/3*n**3 - 7*n + 0*n**2 - 9. Let v(z) be the first derivative of s(z). Calculate a(v(y)). 14*y Let w(t) be the second derivative of -t**5/30 - 11*t**2 - 2*t. Let p(j) be the first derivative of w(j). Let g(u) = -3*u - 3. What is g(p(y))? 6*y**2 - 3 Let q(m) = m**2 + 25*m**2 + 26*m**2 - 47*m**2. Let h(d) = -d**2 - 5. Let t(g) = g**2 + 6. Let s(p) = 6*h(p) + 5*t(p). Give s(q(k)). -25*k**4 Let h(w) = -2 + 2 - 53*w**2. Let j(r) be the second derivative of -r**4/6 + r + 23. Determine h(j(g)). -212*g**4 Let d be (4 + -2 + -9)/(-1). Let s be 1 + -1 - -4 - -1. Let u(n) = d*n**2 + 2*n**2 - s*n**2. Let o(x) = 2*x. Determine u(o(j)). 16*j**2 Let t(v) be the second derivative of v**4/6 - 2*v**3/3 + 319*v. Let j(s) = -s. Calculate j(t(m)). -2*m**2 + 4*m Let i be -3 - (183/(-18) - (-11 - -4)). Let p(h) be the second derivative of 0*h**2 + i*h**3 - 7*h + 0. Let f(o) = -6*o. Determine f(p(m)). -6*m Let a(l) be the third derivative of 5*l**4/24 - l**2 + 131*l. Let c(q) = -q**2 - 18. Calculate c(a(b)). -25*b**2 - 18 Let a(y) be the first derivative of -y**2 + 1 + 7 - 4. Let g(s) be the third derivative of -7*s**5/30 + 3*s**2. Determine a(g(m)). 28*m**2 Let o(r) = 31*r - 13*r - 19*r + r**2. Let s(h) = -7*h**2 + 5*h. Let m(a) = -5*o(a) - s(a). Let z(l) = 3*l. What is z(m(k))? 6*k**2 Let b(x) = 2*x**2 + 1721*x + 1. Let v(s) = 6*s**2. What is b(v(y))? 72*y**4 + 10326*y**2 + 1 Let k(y) = 6*y**2. Let m(c) be the first derivative of 4*c**2 + 39. Give k(m(w)). 384*w**2 Let j(s) = 451*s. Let i(m) = -21*m - 7. Give i(j(q)). -9471*q - 7 Let d(i) be the first derivative of -i**2/2 + 1. Let f(a) be the second derivative of 1/4*a**4 + 0*a**3 + 0 - 11*a + 0*a**2. Determine f(d(c)). 3*c**2 Let b(v) = v**2 + v. Let u be b(1). Let w be -4*u/(-12)*3. Let l(s) = w*s - 4*s + s + 0*s. Let x(j) = 9*j. Determine l(x(q)). -9*q Let m(q) = 6*q**2 - 3*q. Let t(u) = -2*u**2 + 4. Determine m(t(x)). 24*x**4 - 90*x**2 + 84 Let n(y) = 297 - 151 - 146 + 2*y**2. Suppose -4*h + 6 = -7*h. Let f(g) = 9*g - 2. Let q(i) = -10*i + 3. Let c(r) = h*q(r) - 3*f(r). Calculate n(c(w)). 98*w**2 Let h(p) be the third derivative of 0*p + 0 + 0*p**3 + 1/12*p**5 + 0*p**4 + 6*p**2. Let d(b) = b. Determine h(d(f)). 5*f**2 Let c(b) = -10655*b**2. Let j(n) = -5*n**2. What is j(c(u))? -567645125*u**4 Let u(a) = 5*a**2. Let x(q) = -2*q. Let h(k) = -5 + k - 2*k + 5. Let z(v) = -5*h(v) + 2*x(v). What is z(u(f))? 5*f**2 Let w(n) = n**2. Let g(t) = 4*t**2 - 6*t + 6. Let p(h) = 0*h - 5*h - 2*h**2 + 5 - 5*h**2 + 11*h**2. Let u(j) = -5*g(j) + 6*p(j). Calculate u(w(k)). 4*k**4 Let z(l) = -3*l**2. Let f(v) = 60 - 35 - 109*v + 399*v - 25. Give f(z(h)). -870*h**2 Let n(z) = z**2. Let p(f) = -127714*f**2. Determine p(n(y)). -127714*y**4 Let d(n) = -4*n**2. Let c(y) = 4*y**2 + 2054*y + 2. Calculate c(d(l)). 64*l**4 - 8216*l**2 + 2 Let q(p) = -7099*p. Let s(n) = 6*n. What is q(s(d))? -42594*d Let v(i) be the first derivative of -i**2 - 1. Let h(d) = d**3 - 3*d**2 - 7. Let q be h(4). Let z(p) = q*p + 8*p - 16*p. Give v(z(w)). -2*w Let c(f) = 11*f**2. Let q(k) = 13363*k. Determine q(c(r)). 146993*r**2 Let j(l) = -12533*l**2. Let p(k) = 3*k. Give j(p(z)). -112797*z**2 Let x(o) = -6*o. Let b(p) = 6*p + 32. Let y be b(-5). Let d(q) = 12*q**2 - 3*q**2 - 3*q**y. Calculate x(d(t)). -36*t**2 Let s(k) = -4*k. Let l = 166 - 71. Suppose 37 + l = -3*p. Let g(m) = -24*m + 22. Let n(h) = h - 1. Let d(f) = p*n(f) - 2*g(f). Determine s(d(a)). -16*a Let l(s) = -3040 - s**2 + 2*s**2 + 10*s**2 + 3040. Let i(g) = 3*g**2. Determine i(l(n)). 363*n**4 Let k(z) = -14*z**2. Let g(n) = -4*n**2. Let x(d) be the third derivative of d**5/10 - 28*d**2. Let r(t) = 5*g(t) + 3*x(t). Determine r(k(b)). -392*b**4 Let y = 32 + -31. Let n(l) = -y + 2*l**2 + 1. Let t(m) = -m**2 - 4*m**2 + 9*m**2. Give t(n(g)). 16*g**4 Let s(o) be the second derivative of -o**3/6 - 7*o. Let y(c) = c + 3. Let x(v) = -8*v - 26. Let l(j) = 6*x(j) + 52*y(j). Determine l(s(r)). -4*r Let i(l) = -l - 11*l + 24*l - 10*l - 48. Let p(b) = b**2. Determine p(i(a)). 4*a**2 - 192*a + 2304 Let v(i) = -290*i**2 - 170. Let b(p) = -p**2. Determine v(b(u)). -290*u**4 - 170 Let t(v) be the third derivative of -v**5/20 - 17*v**2. Let k(u) = 8*u**2. Calculate t(k(f)). -192*f**4 Let r(b) = -10*b - 2. Let y(d) = -26*d - 4 - 2 + 3 + 15*d. Let j(s) = -3*r(s) + 2*y(s). Let a(v) = 0 - 2*v + 4*v + 0. What is j(a(g))? 16*g Let j(f) = 8*f**2. Let w(p) be the first derivative of 7 + 0*p - 5/2*p**2. Calculate j(w(b)). 200*b**2 Let f(h) = h. Let x(i) = -i**2 - i - 1. Let p = 31 + -33. Let o(t) = 5*t**2 + 3*t + 3. Let q(b) = p*o(b) - 6*x(b). Give q(f(y)). -4*y**2 Let w(c) = 2*c - 10483. Let o(g) = -3*g. Give o(w(j)). -6*j + 31449 Let i(u) = 119*u. Let r(x) be the second derivative of -x**3/6 - 17*x + 2. Calculate r(i(f)). -119*f Let o(k) be the first derivative of 2*k**3/3 - 56. Let s(b) = -b - 2. What is o(s(f))? 2*f**2 + 8*f + 8 Let p(f) = 1458*f. Let u(n) = 90*n**2 + 3. Calculate u(p(k)). 191318760*k**2 + 3 Let z(q) be the second derivative of q**4/12 - 275*q. Let b(o) = -9*o + 3. Calculate b(z(a)). -9*a**2 + 3 Let p(l) be the first derivative of l**2 - 18. Let h(u) = -16*u**2 + 6. Let x(w) = 1. Let g(z) = -h(z) + 6*x(z). Give g(p(d)). 64*d**2 Let q(d) = -2*d. Let z(y) be the second derivative of -1/3*y**3 + 12*y + 0*y**2 + 0. Calculate q(z(i)). 4*i Let v(p) = 2*p. Let y(g) be the second derivative of -g**7/168 + 11*g**4/6 + 32*g. Let q(d) be the third derivative of y(d). Give q(v(u)). -60*u**2 Let p be (2 + 0)*34*1/2. Let g(d) = 169*d - 169*d + 12*d**2 - p*d**2. Let f(r) = r**2. Determine g(f(m)). -22*m**4 Let o(d) = -3*d + d + 3*d + 0*d. Let m(x) = 7*x. What is m(o(c))? 7*c Let v(r) = 11*r**2 + 1 - 2 + 1 - 15*r**2. Let l(j) = 6*j**2. Determine l(v(d)). 96*d**4 Let h(y) = y**2. Suppose -3*g = -4*g + 5. Let s(b) = b**2. Let z(q) = -10*q**2. Let j(k) = g*z(k) + 30*s(k). What is h(j(w))? 400*w**4 Let r(n) = 8*n**2 - 3. Let s(x) = 313*x**2. Calculate r(s(q)). 783752*q**4 - 3 Let z(h) be the first derivative of 2 - 14*h**2 + 19*h**2 - 3. Let a(x) be the first derivative of 2*x**3/3 - 150. Determine z(a(q)). 20*q**2 Let b(u) be the first derivative of -9*u**2 - 21. Let l(a) = -15*a. What is l(b(n))? 270*n Let i(o) = -601*o**2. Let b(g) = 9*g - 45. Determine b(i(t)). -5409*t**2 - 45 Let p(m) = 7*m + 0*m - 8*m. Let u(n) = -299*n. What is p(u(t))? 299*t Let p(s) = -1. Let b(o) = -5*o - 6. Let k(c) = b(c) - 6*p(c). Let x(w) be the first derivative of -w**3 - 180. Calculate k(x(d)). 15*d**2 Let z(a) = 2*a. Let v(p) be the first derivative of -p**6/36 + 4*p**3/3 + 5. Let u(d) be the third derivative of v(d). Determine u(z(c)). -40*c**2 Let f(j) = -2*j. Let h(x) be the second derivative of 7*x**4/8 - 11*x**2/2 - 2*x. Let n(y) be the first derivative of h(y). Calculate n(f(i)). -42*i Let v(p) = -1462*p + 4. Let n(u) = 5*u**2 - 1. Calculate v(n(s)). -7310*s**2 + 1466 Let b(l) = -93*l. Let a(w) = -560*w. Let r(d) = 6*a(d) - 35*b(d). Let x(g) = 6*g**2. Give r(x(m)). -630*m**2 Let y(x) = -3*x**2 - 12*x. Let z(a) = a. Let q(f) = -y(f) - 12*z(f). Let m(t) = -27*t + 5. Let r(h) = 21*h - 4. Let w(v) = 4*m(v) + 5*r(v). Calculate q(w(p)). 27*p**2 Let t(s) = 1618 + 252*s - 1618. Let i(p) = -p**2. Calculate i(t(b)). -63504*b**2 Let o(d) = -3*d**2. Let w be 2 + 0 + 25 + -3. Let j be 262/38 - w/(-228). Let r(x) = -3*x + j*x + 3*x. Determine r(o(b)). -21*b**2 Let j(t) = -t**2 + 2*t - 1. Let w(a) = 24*a**2 - 8*a + 4. Let c(g) = 4*j(g) + w(g). Let k(x) = 8*x**2. Determine k(c(f)). 3200*f**4 Let y(c) = -15*c**2. Let l(m) = 682*m. What is y(l(a))? -6976860*a**2 Let k be ((-50)/14)/5*-7. Let h(y) = k*y + 6*y - 10*y. Let g(x) = 2*x**2. What is g(h(i))? 2*i**2 Let f(m) = -2*m + 21. Let t(g) = 617*g - 7. What is t(f(j))? -1234*j + 12950 Let p(c) = -27*c + 3. Let l(u) = -1106*u**2 - 4*u. Determine p(l(r)). 29862*r**2 + 108*r + 3 Let t(u) be the third derivative of u**4/6 - 2*u**2. Let s(r) be the first derivative of 2*r**2 + 73. Determine s(t(d)). 16*d Let n(b) = 4*b**2. Let v = -396 + 754. Let c(o) = 358 - 3*o
{ "pile_set_name": "DM Mathematics" }
c be 1/(-1) - (-1 + 0). Calculate the common denominator of 47/8 and (c - -1)*9/z. 8 Let z(t) = -2*t - 2. Suppose 2*g = -4*u + 12, -4*u + g + 2 = -2*u. What is the lowest common multiple of u and z(-3)? 4 Find the common denominator of ((-13)/(-18) + -2)/(16/(-120)) and 11/16. 48 Suppose -2*r - 3 - 43 = 0. Let g be r/18*(-3)/(-25). Let p = g + -242/25. Find the common denominator of p and 79/10. 30 Let c = -842371/26 + 32395. Find the common denominator of c and -39/20. 260 Let a be 844314/431772 + (-1)/(-1). Let j = -8511133/9813 - -2602/3. Let d = a - j. Find the common denominator of d and 47/18. 198 Let p = -74651290 + 193346833789/2590. Let o = 20/259 - p. Let q = 53197/10 + -5313. Find the common denominator of o and q. 10 Let f = 208/319 + 105/29. Let v be 15/3 + 0/(-2). Calculate the common denominator of f and v/7*(-7)/6. 66 Suppose 3*q + 0*q = -9. Let b be 79/3 - (-36)/(-27). Let p = b + q. Calculate the lowest common multiple of 6 and p. 66 Suppose -7*o + 3*o + 433110 = 2*t, -2*t + 10 = 0. Let p = 321194/3 - o. Let i = p - -1232. Find the common denominator of i and -37/4. 12 Suppose 0 = -j + 114 - 110. Let x(t) = t**2 + t. What is the smallest common multiple of x(5) and j? 60 Let x be 18/(4/(8/3)). What is the common denominator of -77/4 and (1/x)/((-2)/428)? 12 Let p = 25619/36 - 2867/4. Let o = 8 - 5. Suppose -o*b - 48 = 24. What is the common denominator of p and b? 9 Let w = 10541/594 + -392/27. Let m = 188870903/79790 - -3/39895. Let x = 2375 - m. Find the common denominator of x and w. 110 Suppose -7 = 2*c - 55. Calculate the least common multiple of c and 33. 264 Let x = 5 - -2. Suppose -x*s + 4*s + 24 = 0. Calculate the smallest common multiple of s and 8. 8 Suppose 5*i - 180 = 2*i. Find the common denominator of (-302)/i - 4/6 and -107/26. 130 Suppose 3*p - 51 = 147. Find the common denominator of 10/11 and p/(-9)*(-3)/(-5). 55 Let p = -3653/264 + 113/8. Let o = p + 6/11. Calculate the common denominator of 69/22 and o. 66 Find the common denominator of (0 - 30)*(-22)/275 and 20/9. 45 Suppose -2*i - o - 2*o = 0, 2*o = -3*i. Suppose i = c + 3*m - 0 - 7, 0 = 4*c - 4*m - 12. Calculate the lowest common multiple of 18 and c. 36 What is the common denominator of (-1432)/60*(-4)/16*1 and 11/20? 60 Suppose 2*t + 21 = -4*n + 55, -5*t = -5*n - 115. Let m = -11804144/661 + 17858. Let f = 6676/7271 + m. What is the common denominator of f and t? 11 Let a = -10715 + 160784/15. What is the common denominator of a and -37/5? 15 Suppose 5*o = -3*m + 41, 5*m - 5*o - 131 = 4. Calculate the smallest common multiple of 66 and m. 66 Let x = -31104/371 - -1167/14. Calculate the common denominator of -9/16 and x. 848 Let r = 8 - 12. Let g be (-2)/8 + (-13)/r. Calculate the common denominator of (3/16)/g*-11 and -1/10. 80 Let l = 108 - 8. Let n be 2355/l*(-215)/(-2). Let f = n + -2519. What is the common denominator of 2 and f? 8 Suppose -15 = -5*o - w, 3*o - 2*w - w = 27. Let a = -3 - -6. Suppose -2*u - c = -22, -2*u - a*c = 2*c - 30. What is the lowest common multiple of o and u? 20 What is the common denominator of (-4)/((-176)/(-12))*(-49)/(-3) and 7? 11 Suppose -5*f = -x - 1, 3*f - 2*x = -4 - 1. What is the lowest common multiple of f and 12? 12 Suppose -3*v = -4*q + 75, -q + 8 = -4*v - 14. Calculate the least common multiple of 12 and q. 36 Let u = -11 + 7. Calculate the lowest common multiple of 6/(u/(16/(-6))) and 6. 12 Let n be 1336/60 + 1*2. Let i = 149685/44 + -2260601/660. Let z = n + i. Calculate the common denominator of z and 39/4. 44 Let x = 23612/13 - 1818. Find the common denominator of x and 20/9. 117 Suppose y + 56 = 5*y. Let d(f) = 6*f**2 - 2*f + 2. Let n be d(1). Suppose -n*j - 8 = -8*j. What is the least common multiple of y and j? 28 Suppose c - 3 = 6. Suppose 3*q = d + c + 41, -4*d - 88 = -5*q. Suppose 0 = 3*a - 46 - 14. Calculate the least common multiple of q and a. 80 Suppose 9*s - 8 = 7*s. Let q = 53 - 30. Suppose 0 = -2*g + 5 + q. Calculate the lowest common multiple of g and s. 28 Suppose 3*c = -5*b + 693, 4*c + 0*c - 4 = 0. Let n(l) = l**3 + l**2 + 14. What is the smallest common multiple of n(0) and (-2)/(-7) + b/7? 140 Let f be (-1107)/(-6)*2/102. Let q = f - -1/136. Calculate the common denominator of q and 33/5. 40 Let c = -640 - -650. Let d = -6 + 9. What is the lowest common multiple of c and d? 30 Suppose -h = 3*h - 12. Calculate the least common multiple of h and 34. 102 Suppose 3*l - 10 = 8. What is the smallest common multiple of l and 1? 6 Let f = -3 + 6. Let s be 4*-219*f/6. Calculate the common denominator of s/9*(-3)/(-36) and 115/12. 36 Suppose b + 4*b + 37 = 2*v, -51 = -3*v + 3*b. Calculate the lowest common multiple of v and 16. 16 Calculate the common denominator of -37/12 and ((-60)/5)/(-4) + 58/(-28). 84 Let f be 445*(0 + -57074) - 2. Let b = f + 508118499/20. Let s = 7996 - b. What is the common denominator of s and 111/22? 220 Find the common denominator of 25/6 and 1089/30*1/(-15)*-1. 150 Suppose 1 = 3*g - 17. What is the least common multiple of 2 and g? 6 Let w = 5 - 3. Suppose 4*z - w*d - 22 = 0, 2*d - 25 = -4*z + 5*d. Suppose -5*y - j = -5, 2*j - 4*j - 3 = -3*y. What is the smallest common multiple of z and y? 4 Suppose -g + 5 = 3. Let c(o) = -o**3 - 2*o**2 + 2*o + 8. What is the lowest common multiple of c(0) and g? 8 Let r(z) = -22*z. Let q(c) = -11*c. Let h(u) = -5*q(u) + 2*r(u). Calculate the common denominator of 67/10 and h(-1). 10 Let t = -1304323723/937391157 - 436/151119. Let w = t - 25040621/8150742. Let z = 176/73 + w. Calculate the common denominator of z and 95/22. 198 Suppose 0 = 4*s + r - 37, 3*s - 7*r + 3*r = 42. Calculate the lowest common multiple of s and 2. 10 Suppose -2*g = 2*g + 5*a - 162, 0 = -3*a + 6. Calculate the least common multiple of 18 and g. 342 Let a = 9 - -3. Let t(n) = -n**3 + 10*n**2 + 2. Calculate the least common multiple of a/(-14)*-3*7 and t(10). 18 Let s = -2331 + 23283/10. What is the common denominator of s and 65/3? 30 Let z be (-2)/7 + (-19)/7. Let i(l) = -l**2 - 4*l + 1. Let d be i(z). What is the least common multiple of 5 and (-66)/(-8) + (-1)/d? 40 Let c = 31001/16 - 1942. What is the common denominator of 43/12 and c? 48 Let j = 145431/20 + -7273. Let q = 71303/2502 + 2/1251. Calculate the common denominator of j and q. 20 Let z be ((-107741)/(-3470))/(5/(-10)). Let t = -1/694 + z. Let k = 228/5 + t. What is the common denominator of k and -99/8? 8 Suppose 0 = -3*y - 8 + 137. Calculate the least common multiple of y and 4. 172 Let k be 40/(-114)*(-9 - -2). Let s be (-1)/(-5) + (-2001)/(-570). Let w = s + k. Calculate the common denominator of -29/6 and w. 6 Suppose u = -5*x + 23, 5*x - 18 = -4*u + 59. Let b = -14 + 30. What is the lowest common multiple of b and u? 144 Suppose 6*w - 4 = 2*w. Let r = 5 - w. Suppose 0 = r*u - 13 - 67. Calculate the lowest common multiple of 14 and u. 140 Let u(w) = 2*w**3 - 4*w**2. Suppose -17 = -5*n - 2. Suppose 0*h - 10 = -2*h, -h - 61 = -3*f. Calculate the smallest common multiple of u(n) and f. 198 Find the common denominator of 124/18 + (-10)/(-15) and 4. 9 Suppose -4*g + 116 = -2*f, -f = -2*g - g + 54. Calculate the common denominator of 83/8 and -1 - (3 + 585/f). 88 Let u = 28 + -84. Let r = u + 875/16. What is the common denominator of r and 57/14? 112 Let y(a) = -2*a**2 + 8*a - 2. Calculate the lowest common multiple of y(3) and 1. 4 Let g = -14/2547 - -150763/89145. Calculate the common denominator of g and -57/10. 70 Calculate the common denominator of 18/(-20)*(-1 + 10) and ((-3)/(-15))/(1/((-1155)/(-54))). 90 Let u = -546234841647/27203540 - -2/1360177. Let d = 20074 + u. Calculate the common denominator of d and -29/9. 180 Let a = 58789/4780 + 1/956. What is the common denominator of -23/10 and a? 10 Let b = 48 + -88. What is the common denominator of 43/2 and (-30)/(-10) - b/14? 14 Let j = 2701/423 + 157/94. Calculate the common denominator of -35/12 and j. 36 Let w(i) = -i**2 - 3*i - 2. Let g be w(-2). Suppose 3*k + 5*z + 0*z - 63 = g, k - 31 = -5*z. What is the lowest common multiple of 20 and k? 80 Let n be (-1)/(2/(-20)*2). Let o = 1 + 0. Suppose -4 + n = -i - 4*s, 2*i + 5*s = o. Calculate the lowest common multiple of 4 and i. 12 Suppose -7*a + 8 = -3*a. Calculate the least common
{ "pile_set_name": "DM Mathematics" }
+ g + l*t and give r. -3 Express (4 - 2 + 0)*(0 - 3*h + 6 + 1)*(-1 + 0 + 3) as n*h + y and give n. -12 Rearrange 0*b**2 + 13 - 3*b**2 + b**2 to t*b + y*b**2 + m and give y. -2 Express -4*o**2 + 5*o**2 + o - 5*o in the form x + n*o + h*o**2 and give n. -4 Rearrange (8*p**2 - 8 + 8)*(-6*p**2 + 4*p**2 + 4*p**2) + (p - 5*p + 2*p)*(3*p**3 - 4*p**3 + 4*p**3) to the form j*p + r*p**4 + k*p**3 + s*p**2 + y and give k. 0 Rearrange (u**2 - u - 6*u + 3*u)*(-10 - 16 - 2) to x*u**2 + y*u + v and give y. 112 Rearrange (-2 + 0 + 0)*((0 + 4 - 2)*(-4*n**2 + 0*n**2 + 6*n**2) - 12*n - 66*n**2 + 12*n) to the form h + f*n + j*n**2 and give j. 124 Express (-8 + 10 + 24*o - 3)*(-o**2 + 4*o - 4*o) in the form k + z*o**3 + j*o + b*o**2 and give b. 1 Express 2 - 5*l**3 + 4*l**2 - 3*l**2 - 3*l**2 + l**4 in the form p*l**3 + n*l**2 + g*l + b*l**4 + d and give g. 0 Rearrange (-3*x + x**2 + 3*x)*(0*x - 2*x + x)*(7 - 2 - 2) to the form h*x**3 + v + t*x + l*x**2 and give h. -3 Express -t**2 + 8*t**2 - 2 - 3*t - 3*t**2 as l*t + i*t**2 + z and give i. 4 Express 0*c + 4*c - c + (-23*c + 20*c - 15*c)*(2 + 0 + 0) as z*c + u and give u. 0 Express 3*c + 8*c**3 + 11*c**3 - 25*c**3 as y*c**3 + s*c + j + v*c**2 and give s. 3 Express -3*t + 0*t + 4 - 4 in the form u + j*t and give j. -3 Rearrange -c**2 + 2*c**3 + 34 + 3*c**2 + 2*c - c**4 - 36 to d*c**3 + s*c**4 + y*c + z*c**2 + r and give y. 2 Express 2 - 11 + 0*r + 7 + r**3 + 2*r in the form j + u*r**2 + g*r**3 + i*r and give i. 2 Rearrange ((2 + 4 - 3)*(4*a - 4*a - a) + 0*a + 4*a + a)*(-6*a**3 + 7*a - 7*a) to j*a**4 + r + s*a**2 + u*a**3 + t*a and give j. -12 Rearrange 10*f**3 + 2*f + 11*f**3 + 3*f**2 - 29*f**3 + 5*f**3 to r*f + b + t*f**2 + y*f**3 and give r. 2 Rearrange 7*w + 2*w + 4*w**2 - 2*w**2 + 2 + 2*w to c*w + k + d*w**2 and give c. 11 Rearrange -38*r - 4*r**2 + 7*r**2 + 31*r + 2*r**3 to the form x*r + f*r**2 + h + m*r**3 and give x. -7 Rearrange z**4 - 6*z + 2*z**3 + 9*z - z**3 to g*z**2 + o + p*z**4 + k*z + s*z**3 and give s. 1 Rearrange (1 - 4 - 7)*(3*i**2 - 5*i**2 + i**2) + (0*i + i + 0*i)*(i - 2*i + 3*i) to the form n*i**2 + d + h*i and give d. 0 Rearrange (-6 + 2 + 3)*(-2 + 1 + 5)*(-13*m**2 + 77 - 77) to the form d*m + a + q*m**2 and give q. 52 Express 24 + 4*y + 27 - 39 + y in the form d*y + x and give d. 5 Rearrange -162 + 2*n + 5*n + 157 to k*n + v and give v. -5 Express -4 + 2 + s + 2*s**2 - 2*s**2 + s**4 - 4*s**2 as z*s**3 + v*s**4 + u*s + x + d*s**2 and give x. -2 Express (3*f**2 + 9*f - 9*f)*(2 - 2 - 1 + 3*f) in the form i*f + o*f**2 + t*f**3 + m and give t. 9 Express (-28 + 6*o + 6*o + 29)*(-29 + 2*o**3 + 29 + (0 - o**2 + 0)*(-5*o + 4*o + 0*o)) in the form f*o**3 + j*o**2 + x + r*o**4 + v*o and give r. 36 Express ((0*i**4 + i**4 - 2*i**4)*(-2 + 0 + 1) + 2*i**4 - i**3 + i**3 + 1 - 1 + 2*i**4)*(-65 + 32 + 29) as x*i + m*i**4 + q*i**3 + z*i**2 + w and give m. -20 Rearrange (3*q - 3*q + q)*(-15*q**2 - 12*q**2 + 5*q**2) + (0*q**2 + 0*q**2 - 2*q**2)*(0*q - 3*q + q) to the form d + w*q + f*q**3 + c*q**2 and give f. -18 Express -65*r**2 - 10*r**2 - 2*r**2 in the form d*r + q + k*r**2 and give k. -77 Express 6 - 4 - 14*d - 5 + 18*d in the form w + f*d and give w. -3 Rearrange -28*l**2 + 3*l - 5*l - 16*l**2 to the form r + v*l**2 + f*l and give v. -44 Express (3*p**2 + 49 - 49)*(-7*p + 3*p + 2*p) - 2*p**3 + 7*p**3 - 4*p**3 in the form b*p**3 + c*p + u*p**2 + w and give b. -5 Rearrange 5*t**3 + 6*t - 14*t**3 + 6*t**3 + 1 to p*t**3 + c + u*t + m*t**2 and give c. 1 Express -2*p**2 + 1 + 34*p**3 - p**4 + 0*p - 37*p**3 + 2*p in the form l*p**2 + c*p + g*p**4 + y*p**3 + w and give g. -1 Express 5*g - 94 + 94 as m + r*g and give r. 5 Express (3*v - 3*v - 2*v)*(1 - 2*v - 1)*(27 + v + 3*v**2 - 36 - 2*v**2) as p*v + m*v**3 + l*v**2 + k*v**4 + y and give m. 4 Rearrange -3*a - 10 - a**2 + 10 + 5*a to t + m*a + z*a**2 and give m. 2 Rearrange (-2*r + r + 3*r)*(-3 - 1 + 6) + 6 + 3*r + 8 - 13 to the form q + f*r and give f. 7 Express (-10*n**2 - 22*n + 22*n)*(0*n + 0*n + n**2 + n**2) as x + s*n**2 + o*n**3 + l*n**4 + g*n and give s. 0 Rearrange -2*a**3 + 2*a**3 - 3*a**2 + 3*a**3 - 3*a**2 to l*a**3 + k*a**2 + o + z*a and give l. 3 Rearrange -j**2 + 34*j + 5585 - 5585 to v + f*j + g*j**2 and give g. -1 Rearrange -2*j**3 + 2*j**3 + 3*j**3 + 9*j**3 + j to the form o*j**2 + f*j + u + b*j**3 and give b. 12 Express -3*f + 2*f - 3*f + (-2 + 4 - 8)*(0*f - 5*f + 4*f) as h + r*f and give r. 2 Express 7*n + 2*n + 5*n + (0*n - 4*n + 2*n)*(-3 - 2 + 2) in the form p + v*n and give v. 20 Rearrange 0*q + 0*q + q**3 + (0*q**3 - 2*q**3 - q**3)*(-5 + 4 - 3) to the form a*q**3 + p*q + z + s*q**2 and give a. 13 Rearrange -24414 + 61*w + 24414 to n*w + v and give n. 61 Rearrange 41*g**2 - 13*g**2 + 6*g**2 to the form l + h*g + y*g**2 and give y. 34 Rearrange 2*b**2 - 2*b**4 + 2*b**3 + 5*b**4 - 6*b**4 + 4*b**2 to w*b**3 + c*b + g + h*b**2 + m*b**4 and give h. 6 Express v**2 - 2*v**4 + 4 - 3 + 0*v**4 + 2*v**3 - 2 in the form d*v**4 + a*v**3 + i + q*v**2 + u*v and give q. 1 Express 2*m + 14*m + 8*m in the form c + y*m and give y. 24 Express (7 - 3 + 1)*(-1 - 3 + 3)*(2*s**4 - s**3 + s**3) as o*s**2 + z*s**4 + q*s**3 + f + w*s and give z. -10 Rearrange (u - 5*u + 0*u)*(7 - 12 - 2)*(-2 - 3 - 2*u + 3) to j*u**2 + k + a*u and give j. -56 Rearrange (m**2 - 2*m**2 - 5*m**2)*(5 + 0 - 2)*(2*m - 4*m + m) to w + n*m**2 + t*m**3 + z*m and give t. 18 Express -48*g + g - 6*g in the form d*g + a and give a. 0 Express 2*a**2 + 50*a + 489 - 489 as x*a**2 + h*a + m and give x. 2 Rearrange (1 + 1 - 1)*(-4 + 4 - 2*f)*(2 + f - 2)*(4*f**2 + 0*f + 0*f) to y*f**3 + t*f**4 + a*f + h*f**2 + n and give y. 0 Express -83*r + 11*r + 43*r in the form k*r + t and give k. -29 Rearrange (-3 - 3 + 4)*(0 - 2*m + 0 + (3*m + 3*m - 4*m)*(-4 + 1 - 3)) to d*m + i and give i. 0 Express 3 - 2*c**3 - 3 + (2*c**3 + 7*c**3 - 5*c**3)*(-4 - 1 + 2) as a*c**3 + l*c**2 + i + p*c and give a. -14 Rearrange (-32*k + 8*k**3 + 32*k)*(0*k + 0*k - k)*(2 + 0 - 3) to o*k**3 + u + l*k**2 + r*k**4 + h*k and give r. 8 Rearrange (5*l - 48*l + 0*l)*(-2 - 2 + 1) + 1 + l - 1 to x + g*l and give g. 130 Express (-q**2 + q**2 - 2*q**4)*(0 - 2 + 4) + 4*q + 2*q**4 - 6*q + 7*q in the form y*q + g*q**4 + s*q**2 + w + m*q**3 and give y. 5 Express (s - s - s**3)*(-s - 2 + 2 + (-10*s + 24*s - 9*s)*(1 + 1 - 3) - 3*s + s + s) in the form l*s**2 + q*s + h*s**4 + t + y*s**3 and give l. 0 Rearrange (-222*l**2 + 2 - 4*l**3 + 222*l**2)*(-4 + 4 - 2*l) to t*l + v*l**2 + j*l**4 + x + s*l**3 and give v. 0 Rearrange -2*i - 2*i**2 + 9*i**4 - i**3 + 10*i**2 - 5*i**2 to the form s*i**2 + k*i**4 + f*i + q + u*i**3 and give s. 3 Express 10*q**4 - q**3 + 1 + 2*q + q**3 - 5*q**4 as p*q**2 + w*q + d*q**4 + k + o*q**3 and give k. 1 Express -21*m**2 - 37*m**2 - 15*m**2 in the form i*m + x*m**2 + j and give x. -73 Rearrange -r**2 - r**3 - 5 + 5*r**3 - 3*r**3 - 2*r**3 to y*r**3 + s*r + i + l*r**2 and give i. -5 Express -2*s + 3*s + s + 3*s**2 - 4*s in the form h + o*s + l*s**2 and give l. 3 Rearrange (i**2 - 2 + 2)*(-2*i + i**2 + 2*i) + 18*i**4 + 9*i**4 - 2*i - 3*i**3 - 32*i**4 to the form v*i**4 + g*i + a + n*i**3 + x*i**2 and give n. -3 Express (-6*c + 4*c - 3*c)*(-3 - 1 + 1)*(c - c + c**2) as f*c + l*c**2 + o*c**3 + q and give f. 0 Express -51*h + 26*h + 2 - 2 in the form v + t*h and give t. -25 Express (409 - 362 - 320)*(2*s**3 - s + s) in the form u*s**3 + f*s + w + k*s**2 and give u. -546 Rearrange (c - 2*c - 2*c)*(-c**2 - 5*c**2 + 0*c**2) to h*c**3 + y*c + r*c**2 + p and give h. 18 Rearrange (4 + 10*f**2 - 33*f**2 + 14*f**2)*(3 - 6 + 2) to the form n*f + p + z*f**2 and give n. 0 Rearrange (-9 + 38 - 1)*(k**2 - 3*k**2 + 0*k**2 + (0 - 4 + 3)*(k**2 + 3 - 3)) to the form o*k + t*k**2 + h and give t. -84 Express -d + 5*d**3 - 107*d**2 + 107*d**2 + 2*d in the form f*d**2 + k*d**3 + p*d + n and give k. 5 Rearrange -d**4 + d - 2 + 3*d**3 + 4 - d**4 - 2*d**3 + 5*d**2 to a*d**3 + r*d**2 + p + n*d**4 + b*d and give n. -2 Rearrange 2*z**2 + 2*z**2 - 2*z**2 + (2 - 2 - 2*z)*(2*z - z + z) + 1 - z**2 + 0 - 11 - 4*z to w*z**2 + b + d*z and give d. -4 Express 5 - 7 - 44*n + 2 in the form u*n + p and give u. -44 Rearrange (-g + 0*g + 0*g)*(2*g - 2 + 2) + (3 - 1 - 4)*(-2*g - 3*g + g)*(0*g - 3*g + 2*g) to f + y*g + x*g**2 and give x. -10 Express (3 - 4 + 0)*(-76*l**2 + 7
{ "pile_set_name": "DM Mathematics" }
b(k) = -k. Give j(b(w)). 27*w Let r(h) = -8*h. Let o(j) = -63*j - 55*j + 111*j. Determine r(o(v)). 56*v Let k(b) = 2*b**2. Let p(v) = 7*v - v - 6*v + v**2. Calculate p(k(t)). 4*t**4 Let v(p) be the second derivative of -p**4/24 + p**2 + p. Let l(o) be the first derivative of v(o). Let d(z) = -4*z. What is d(l(f))? 4*f Let z(f) = f**2. Let v(i) be the first derivative of i**5/60 - 4*i**3/3 - 3. Let m(c) be the third derivative of v(c). What is m(z(r))? 2*r**2 Let g(c) = -13*c - 15*c - 8*c + 9*c. Let r(w) = -2*w. What is g(r(m))? 54*m Let u(g) = -3*g**2. Let b(m) = -m - 1. Let l(i) = i**2 - 5*i - 5. Let z(s) = 5*b(s) - l(s). Give z(u(x)). -9*x**4 Let c(d) = -2*d**2 + 0*d**2 + 10*d**2 - 6*d**2. Let n(k) be the second derivative of -k**4/2 - k. Calculate n(c(l)). -24*l**4 Let l(s) = -s. Let j(w) = 3783*w**2 - 2*w. Calculate j(l(h)). 3783*h**2 + 2*h Let j(t) = 2*t**2. Let g be ((-30)/9)/5*-3. Let p(c) = 2*c - g*c - 4*c. What is j(p(k))? 32*k**2 Let m(f) = -5*f. Let y(h) = -11*h. Let x(d) = 9*m(d) - 4*y(d). Let j(q) = -10*q. Let t(n) = -j(n) + 8*x(n). Let i(p) = 2*p**2. Determine t(i(r)). 4*r**2 Let m(o) = -o**2 - 1. Let u(z) = -z**2 + 1. Let d(v) = -m(v) - u(v). Let s(a) = 7*a**2. Give s(d(w)). 28*w**4 Let i(x) = -x. Let n(g) = -716*g + 4. Determine i(n(o)). 716*o - 4 Let m(g) = g**2. Let a(b) = b**2 - 346. What is a(m(f))? f**4 - 346 Let o(c) = -c. Suppose a - m - 2 = -5, 5*a - 5 = m. Let i(w) = -w**2 - 5*w**a + 5*w**2 + 3*w**2. What is i(o(g))? 2*g**2 Let h(l) = -l. Let a(q) = -q + 2. Let b(c) = 3*c - 7. Let g(r) = 21*a(r) + 6*b(r). Calculate h(g(p)). 3*p Let b(y) = -13*y**2 - 5*y**2 + 3*y**2. Let c(m) = m**2. Determine b(c(w)). -15*w**4 Let x(j) = 66*j**2. Let r(v) = -6*v. Calculate r(x(u)). -396*u**2 Let g(u) = u - 4*u + 5 + u. Suppose -3*x + 3*c - 12 = 0, 2*c = x - 2*x + 5. Let i(q) = -q + 1. Let n(z) = x*g(z) + 5*i(z). Let m(k) = 2*k. Calculate m(n(d)). -6*d Let a(h) = h + 2*h + h**2 - 3*h. Let k(y) = 6*y**2. What is k(a(x))? 6*x**4 Let r(u) = u**2. Let x(l) = -12*l**2. Let a(w) be the first derivative of 289*w**3/3 + 9. Let g(n) = 5*a(n) + 119*x(n). What is r(g(h))? 289*h**4 Let r(t) = t + 6597. Let y(f) = -2*f**2. What is r(y(l))? -2*l**2 + 6597 Let q(p) be the first derivative of p**2 - 25. Let u(w) = 12*w. What is u(q(v))? 24*v Let j(v) be the second derivative of 0 - 1/3*v**3 + 0*v**2 + v. Let a(c) = -2*c. Calculate a(j(n)). 4*n Let r(h) = 2*h**2. Let u = -8 - -12. Let n(j) = -2*j - u + 4. Calculate n(r(w)). -4*w**2 Let d(t) = -4*t. Let k(j) = 9*j - 5. Let r(a) = 28*a - 14. Let o(u) = 14*k(u) - 5*r(u). Give d(o(p)). 56*p Suppose 0 = 5*l - 7 - 13. Let a(o) = o - l + 4. Let t(b) = -b**2. What is t(a(u))? -u**2 Suppose 0 = -8*d + 4*d + 32. Let s(c) = 6*c**2 + d*c**2 - 12*c**2. Let r(x) = x**2 - 3*x**2 + 0*x**2. Give r(s(i)). -8*i**4 Let t(p) = 31*p**2. Let x(b) = 2*b - 3. Let k(v) = 5*v - 7. Let h(l) = -6*k(l) + 14*x(l). Determine t(h(s)). 124*s**2 Let w = 7 - 18. Let f(o) = 6*o**2. Let s(g) = -17*g**2. Let q(j) = w*f(j) - 4*s(j). Let b(k) = k. What is b(q(r))? 2*r**2 Let r(d) = 4*d**2. Let b(c) be the third derivative of -c**5/120 - c**3/3 - 4*c**2. Let k(j) be the first derivative of b(j). Calculate k(r(f)). -4*f**2 Let o(r) = -2*r**2. Let x(h) = -2*h**2 - 36. Determine o(x(c)). -8*c**4 - 288*c**2 - 2592 Let x(h) = h**2 + 6*h + 6. Let s(d) = 2*d**2 + 11*d + 11. Let r(b) = -6*s(b) + 11*x(b). Let c(y) = 2*y**2. Give r(c(l)). -4*l**4 Let a(o) = -o. Let f(r) = -371*r**2 + 2*r. Calculate a(f(h)). 371*h**2 - 2*h Suppose -2*x = 5*b + 16, -3*b = 3*x + 2*b + 14. Let s(c) = 0*c - 3*c + x*c. Let t(r) = -2*r. Let i(d) = -d. Let f(m) = 7*i(m) - 4*t(m). Give f(s(h)). -h Let v(b) = -b. Let q(k) = -16581*k. Determine v(q(c)). 16581*c Let u(l) = 21*l**2. Let q(h) = -145*h**2. What is u(q(w))? 441525*w**4 Let m(t) = -29*t. Let p(s) = -4*s. What is p(m(f))? 116*f Let f(n) be the first derivative of 2*n**3/3 + 1. Let s(g) = 5*g**2 + 12*g**2 - 15*g**2. What is s(f(r))? 8*r**4 Let y(c) = 64*c. Let k(i) = -41*i**2 - 36*i**2 + 75*i**2. Give k(y(f)). -8192*f**2 Let u(k) = 13*k**2 - 12*k**2 + 2*k**2. Let w(g) = 6*g**2. Calculate w(u(s)). 54*s**4 Let w(l) = l**2. Let t(c) = -422*c. Give w(t(y)). 178084*y**2 Let b(j) = -2*j. Let o = 2 + 0. Let m(l) = 8*l**2 + 6*l**o - l + l. Calculate m(b(h)). 56*h**2 Let q(s) = -37*s. Let h(i) = 4*i + 46. What is h(q(d))? -148*d + 46 Let y(o) = o. Let m(v) be the first derivative of 2*v**4/3 - 4*v + 3. Let z(d) be the first derivative of m(d). What is z(y(a))? 8*a**2 Let v(x) = x - 59. Let n(b) be the third derivative of -b**4/24 + 25*b**2. Calculate n(v(y)). -y + 59 Let f(h) = h**2. Let s(m) = m**2 - 299*m + 299*m + m**2. Determine f(s(o)). 4*o**4 Let o(i) = 629*i. Let s(p) = 17*p**2. What is s(o(u))? 6725897*u**2 Let n(l) = 3*l**2 + l + 1. Let k(o) = o**2 + o + 1. Let c(j) = -k(j) + n(j). Let z(r) = -52*r**2 + 21*r**2 + 30*r**2. Give c(z(u)). 2*u**4 Let g(q) = -2*q**2. Let j(p) be the second derivative of 0*p**2 + 0 - 3*p + 1/2*p**3. Determine g(j(a)). -18*a**2 Let v(d) = 3*d. Let j(k) = -6*k + 17. Determine j(v(n)). -18*n + 17 Let d(f) = 2*f**2. Let u = -3 - -3. Let k(p) = p + p - p + u. Determine d(k(w)). 2*w**2 Let i(b) = -b**2. Let y(t) be the third derivative of t**4/12 - 8*t**2. Calculate i(y(f)). -4*f**2 Let i(f) = 37*f - 12. Let w(s) = -s. Give w(i(t)). -37*t + 12 Let v(x) = -5*x**2. Let m(p) = -3*p**2 + 7. Let y(i) = -2*i**2 + 5. Let g(u) = -5*m(u) + 7*y(u). Determine v(g(w)). -5*w**4 Let n(t) = -t + 2*t + t. Let o(s) be the third derivative of 11*s**5/60 + 164*s**2. Calculate o(n(f)). 44*f**2 Let o(s) be the second derivative of -1/4*s**4 + 0 + s + 0*s**3 + 1/2*s**2. Let a(y) be the first derivative of o(y). Let n(d) = -d. Calculate a(n(z)). 6*z Suppose 2*a - n - 7 - 2 = 0, 2*a = 5*n + 29. Let g(z) = 6*z - 3*z - a*z. Let m(j) be the second derivative of -j**4/3 + 7*j. Determine m(g(l)). -4*l**2 Let s(u) = 3*u. Let n be 10/(-4) + (-3)/(-2). Let b(r) = -4*r**2 - 24*r. Let y(a) = -a. Let k(c) = n*b(c) + 24*y(c). Calculate k(s(h)). 36*h**2 Let s(h) = 61*h + 2. Let b(a) = 3*a**2 + 7*a. Let p(c) = 2*c**2 + 4*c. Let n(g) = -4*b(g) + 7*p(g). What is s(n(l))? 122*l**2 + 2 Let z(x) = -20*x + 6*x + 9*x. Let m(r) = 13*r**2. What is z(m(o))? -65*o**2 Let j(v) be the first derivative of v**2/2 + 2. Let h(m) = -2*m**2. Give j(h(d)). -2*d**2 Let k(h) = -4*h. Let b(g) = 4*g**2 - 5. Let a(f) be the third derivative of f**5/6 - 2*f**3 + 3*f**2. Let o(p) = 5*a(p) - 12*b(p). Determine o(k(n)). 32*n**2 Let m(u) = -6*u. Suppose -3*k + 1 = -5. Let n(t) = 4*t + 3*t**2 - 6*t + k*t. What is n(m(p))? 108*p**2 Let t(r) be the second derivative of 3*r**3/2 + 3*r. Let l(u) = -u. Let p(v) = -22*l(v) - 2*t(v). Let m(y) = -y. Give m(p(a)). -4*a Let f(w) = w. Let u(k) = 128*k. Calculate f(u(q)). 128*q Let g(t) = 0*t**2 + 6*t**2 - 4*t**2. Let f(p) be the third derivative of -p**5/60 - p**2. Calculate g(f(k)). 2*k**4 Let l(i) be the second derivative of 0*i**2 + 0*i**3 - 6*i - 7/12*i**4 + 0. Let q(f) = f. What is l(q(d))? -7*d**2 Let r(t) = -t**2. Let y(f) = 39*f - 7. Calculate r(y(u)). -1521*u**2 + 546*u - 49 Let i(t) = 3*t. Let q(u) = -3*u**2 + 9*u. Let r(c) = c. Let k(v) = -q(v) + 9*r(v). What is i(k(o))? 9*o**2 Let a(i) = 3*i**2 + 2. Let g(c) be the second derivative of c**4/12 - 38*c. Determine a(g(w)). 3*w**4 + 2 Let p(q) = -q**2. Let m be -1*(2/(-1) + 2). Let j(o) be the third derivative of m*o**3 - o**2 - 1/8*o**4 + 0 + 0*o. Determine j(p(n)). 3*n**2 Let m(g) = -4*g. Let n(o) = 196*o. Determine m(n(i)). -784*i Let u(p) = 267*p**2. Let h(y) = y**2. Give u(h(v)). 267*v**4 Let b(v) = 2*v**2. Let a(s) = -s**3 + 6*s**2 - s + 8. Suppose 6 = 5*k - 24. Let l be a(k). Let x(q) = -2*q**2 - q**l - q**2 + 3*q**2. Determine b(x(d)). 2*d**4 Let i(a) = -14*a**2. Let h(f) = 7*f**2 + f. Calculate h(i(o)). 1372*o**4 - 14*o**2 Let l(z) be the second derivative of -z**4/6 + 3*z**2 + 7*z. Let s(t) be the first derivative of l(t). Let q(a) = a**2. Determine q(s(x)). 16*x**2 Let a(p) = -3*p - 48. Let j(t) = t**2. What is j(a(b))? 9*b**2 + 288*b + 2304 Let l(a) = -a**2 + 3. Let p(q) = -4*q**2 + 13. Let i(n) = -26*l(n) + 6*p(n). Let u(x) = -x**2. Calculate u(i(b)). -4*b**4 Let t(o) = -2*o. Let q(r) = r + 1. Let h(a) = 5*a**2 - 5*a - 5. Let n(s) = -h(s) - 5*q(s). What
{ "pile_set_name": "DM Mathematics" }
2)*(q - 1)**2 Let s(m) = 6*m + 3. Let j(r) = -r**2 - 7*r - 4. Suppose 5*b - 7 = -g + 4*g, 3*b = 4*g + 13. Let a(c) = g*s(c) - 3*j(c). Factor a(k). 3*k*(k - 1) Determine t, given that -2*t**4 + t**3 + t**4 + 7*t - 11*t**2 + 20*t**2 + 4 + 4*t = 0. -1, 4 Factor 56*w**2 + 3*w**4 + 25*w**3 + 4*w**4 + 15*w - 2*w**4 - 21*w**2. 5*w*(w + 1)**2*(w + 3) Let r be 66/(-12) + (-2)/4. Let u(a) = 10*a**3 + 16*a**2 + 8*a - 1. Let l(d) = 0*d + 9*d**3 + 9*d + 14*d**2 + 2*d**2. Let j(s) = r*l(s) + 4*u(s). Factor j(p). -2*(p + 1)**2*(7*p + 2) Let q(d) be the third derivative of d**6/340 - d**5/102 - d**4/51 + 4*d**3/51 - 13*d**2. Solve q(j) = 0. -1, 2/3, 2 Let w be (-18)/3 - (2 - (-484)/(-55)). Factor -2/5*b**4 + 0 + w*b**3 - 2/5*b**5 + 0*b + 0*b**2. -2*b**3*(b - 1)*(b + 2)/5 Let n(m) be the third derivative of 1/30*m**6 + 1/3*m**3 + 0 + 0*m**5 - 1/6*m**4 - 1/105*m**7 + 0*m - 4*m**2. Factor n(k). -2*(k - 1)**3*(k + 1) Suppose -70*r = -67*r - 6. Factor -1 + 3/2*k + 0*k**r - 1/2*k**3. -(k - 1)**2*(k + 2)/2 Let h be (-15)/55*(-4)/3. Determine z so that 10/11*z - 8/11*z**2 - h + 2/11*z**3 = 0. 1, 2 Let g = 1115 + -1107. Solve g*h**2 + 6*h + 40/3*h**4 + 0 - 76/3*h**3 - 2*h**5 = 0 for h. -1/3, 0, 1, 3 Let j(f) be the first derivative of -f**7/147 + f**5/35 - f**3/21 - 4*f - 1. Let s(g) be the first derivative of j(g). Factor s(z). -2*z*(z - 1)**2*(z + 1)**2/7 Let r(l) be the third derivative of l**6/30 + l**5/5 + l**4/2 + 2*l**3/3 + 8*l**2. What is z in r(z) = 0? -1 Let j = 29 - 24. Factor -4/3*x**3 + 2/3*x**j - 2/3*x**4 - 2/3 + 4/3*x**2 + 2/3*x. 2*(x - 1)**3*(x + 1)**2/3 Factor 2/21*n**2 - 2/21*n - 4/21. 2*(n - 2)*(n + 1)/21 Let p = 157 + -157. Let a(b) be the second derivative of -3*b - 1/3*b**3 - 1/6*b**4 + p*b**2 + 0. Factor a(d). -2*d*(d + 1) Let r be 11/(-3) + 10/(-30). Let q be ((-8)/r)/((-4)/(-8)). Solve -2/3*b**q + 2/3*b - 4/9*b**3 - 2/9*b**5 + 2/9 + 4/9*b**2 = 0. -1, 1 Suppose 22 = -194*u + 205*u. Determine c so that 2/7*c**4 - 6/7*c**u + 0*c**3 - 4/7*c + 0 = 0. -1, 0, 2 Suppose 4*x + 0 - 8 = 0. Let k(v) = -v - 3*v**2 + 0 + 1 + x*v**2. Let o(d) = -d**2. Let f(u) = 4*k(u) - 5*o(u). Factor f(i). (i - 2)**2 Let z(d) be the first derivative of d**4/4 - d**3/3 - 2*d**2 + 4*d + 34. Factor z(n). (n - 2)*(n - 1)*(n + 2) Let x(c) be the first derivative of -3 - c**2 - c - 1/12*c**4 + 1/2*c**3. Let b(j) be the first derivative of x(j). Determine n, given that b(n) = 0. 1, 2 Suppose -5*d - 2*l + 24 = 2*l, -2*d + 28 = -3*l. Factor -t**3 + d*t**2 - 4*t + 3*t - 6*t**2. -t*(t - 1)**2 Let y(c) be the third derivative of c**8/2016 - c**7/1260 - c**6/720 + c**5/360 + 44*c**2. Suppose y(s) = 0. Calculate s. -1, 0, 1 Let i(j) be the third derivative of -j**6/108 + j**5/30 + j**4/54 + 36*j**2. Factor i(y). -2*y*(y - 2)*(5*y + 1)/9 Let b = 19/3 + -29/6. Factor q**2 + b*q**3 + 0*q + 0 - 9/2*q**4. -q**2*(3*q - 2)*(3*q + 1)/2 Suppose 0*m - 10 = -5*m. Factor -z + z**3 - z - 16 + 14 - 3*z**m - 3*z + z**4. (z - 2)*(z + 1)**3 Let i(r) be the third derivative of 5/24*r**4 + 0 + 1/3*r**3 + 0*r + 1/15*r**5 + 3*r**2 + 1/120*r**6. Factor i(g). (g + 1)**2*(g + 2) Let f(k) be the second derivative of k**6/20 - 3*k**5/20 + k**3/2 - 3*k**2/4 + 9*k. Factor f(s). 3*(s - 1)**3*(s + 1)/2 Find d, given that -44*d**3 - 70*d**2 - 32*d**5 - 8 - 16*d**4 + 30*d**5 - 24*d - 10*d + 14*d**2 = 0. -4, -1 Let n(v) be the first derivative of -v**8/672 - v**7/70 - v**6/20 - v**5/15 - 3*v**2 - 4. Let d(q) be the second derivative of n(q). Factor d(p). -p**2*(p + 2)**3/2 Let s(d) be the third derivative of -d**8/336 - d**7/90 - d**6/90 + d**4/8 - 5*d**2. Let x(n) be the second derivative of s(n). Factor x(i). -4*i*(i + 1)*(5*i + 2) Suppose -a - 1 + 0 = -4*p, 2*a = -2*p - 2. Determine w, given that -1/5*w**3 + 0 + p*w + 1/5*w**2 = 0. 0, 1 Factor 32/7 - 160/7*f + 288/7*f**2 + 54/7*f**4 - 216/7*f**3. 2*(f - 2)*(3*f - 2)**3/7 Let y(w) = 3*w**3 - 47*w**2 - 289*w - 681. Let u(r) = -2*r**3 + 46*r**2 + 290*r + 682. Let m(o) = 5*u(o) + 4*y(o). Factor m(s). 2*(s + 7)**3 Let j(p) be the first derivative of -3*p**4/4 - 3*p**3 + 12*p + 3. Factor j(n). -3*(n - 1)*(n + 2)**2 Let n(f) = -f**3 + 4*f**2 - 5*f + 5. Let z be n(2). Let w(s) be the third derivative of 0 - 2*s**2 + 0*s**z - 1/72*s**4 + 0*s - 1/180*s**5. Solve w(p) = 0. -1, 0 Let o be 4/(1 + (-2)/(-6)). Let t = -4 - -8. Factor 0 + 8/3*z**o - 4/3*z + 2/3*z**2 - 2*z**t. -2*z*(z - 1)**2*(3*z + 2)/3 Let p(r) = r**2 + 5*r + 3. Let x be p(-5). Factor -6*g - 6*g + 4*g**3 + 3*g**4 - 16*g**3 + x + 18*g**2. 3*(g - 1)**4 Suppose 3*h + 2*h - 3*g = -73, 2*h = -g - 27. Let y = 20 + h. Factor -9*v**4 + y*v**2 + 4*v - v**3 + 3*v**4 - 3*v**3. -2*v*(v - 1)*(v + 1)*(3*v + 2) What is o in 27 + 15*o**5 + 160*o + 35*o**4 - 75*o**2 - 75*o**3 - 38 - 49 = 0? -3, -2, 2/3, 1 Suppose 2*g + 15 = 7*g, 0 = 3*d - 2*g + 1377. Let k = 2293/5 + d. Factor -2/5*j**2 - 8/5 + k*j. -2*(j - 2)**2/5 Find m, given that -9/4 + 3/2*m - 1/4*m**2 = 0. 3 Let b(v) be the first derivative of -v**3/33 - v**2/11 - 27. Factor b(l). -l*(l + 2)/11 Let n(i) = -i + 9. Let q be n(4). Let u = q - 3. Let 3*z**2 + 2*z**5 - 3*z**2 - u*z**3 = 0. Calculate z. -1, 0, 1 Let y = -210 - -210. What is d in y + 2/5*d**2 + 2/5*d = 0? -1, 0 Let y be 10/(-80)*(2 + -8). Determine z so that 0*z**4 + 0 - 3/2*z**3 + 0*z**2 + y*z**5 + 3/4*z = 0. -1, 0, 1 Suppose 0*q + 16 = 2*q - 4*c, 10 = 3*q + c. Let y(b) = 2*b - 5. Let x be y(q). Factor -3*s**4 + 3*s - 6 - 2*s**4 - x*s**3 + 4 + 7*s**2. -(s - 1)*(s + 1)**2*(5*s - 2) Let n = -134/3 - -45. Let g be 1 - 3 - 7/(-3). Factor -n + g*j**3 + 1/3*j**2 - 1/3*j. (j - 1)*(j + 1)**2/3 Let s be (-162)/(-40) - (-15 + 19). Let l = 3/10 - s. Determine n so that 1/4*n**2 + l*n**3 + 0 + 0*n = 0. -1, 0 Suppose 4*b = -91 + 107. Let f(h) be the third derivative of -1/10*h**5 - 4*h**2 + 0*h**3 - 1/70*h**7 + 0*h + 0*h**b + 0 - 3/40*h**6. Factor f(q). -3*q**2*(q + 1)*(q + 2) Let w(k) be the first derivative of -k**6/900 + k**5/150 - k**4/60 - k**3/3 + 2. Let a(z) be the third derivative of w(z). Factor a(x). -2*(x - 1)**2/5 Let o be 26/(-104) - (-4)/2. Factor -1/4 - 3/2*b**2 + 1/2*b**3 + o*b**4 + 3/4*b**5 - 5/4*b. (b - 1)*(b + 1)**3*(3*b + 1)/4 Let p(w) = 9*w**2 + 35*w + 100. Let j(x) = -28*x**2 - 104*x - 300. Let o(g) = 5*j(g) + 16*p(g). Factor o(z). 4*(z + 5)**2 Let u(q) = q**2 - q + 1. Let t(c) = -5*c**2 - 7*c - 8. Let g(y) = 4*y**2 + 7*y + 7. Let w(k) = 7*g(k) + 6*t(k). Let f(a) = 6*u(a) + 2*w(a). Factor f(l). 2*(l + 2)**2 Solve -8*s**2 + 0*s + 16*s**4 + 0 - 44/3*s**3 + 20/3*s**5 = 0 for s. -3, -2/5, 0, 1 Let a = -62753/7 + 9034. Let n = a + -69. Let 4/7 - 4/7*t**3 + 4/7*t**4 + 2/7*t + n*t**5 - 8/7*t**2 = 0. Calculate t. -2, -1, 1 Let p be (-2)/(-1) + 6 + -4. Let m(n) be the third derivative of 0 + 0*n + p*n**2 - 1/8*n**4 + 1/40*n**6 + 1/20*n**5 - 1/2*n**3. Factor m(w). 3*(w - 1)*(w + 1)**2 Suppose -2*r = -v - 2 - 3, -3*v = -3*r + 9. Let -7*q**2 + 12*q**2 + 6*q - 2*q**r = 0. Calculate q. -2, 0 Find q such that -24/7*q + 3/7*q**2 + 3 = 0. 1, 7 Let c(k) be the third derivative of k**8/42 - k**7/21 - k**6/20 + k**5/6 - k**4/12 - 31*k**2. Let c(s) = 0. Calculate s. -1, 0, 1/4, 1 Let r(q) be the second derivative of q**7/70 - q**6/10 + 27*q**5/100 - 7*q**4/20 + q**3/5 - 2*q. Factor r(k). 3*k*(k - 2)*(k - 1)**3/5 Let y be 15/(-2)*37/(-6). Let k = -46 + y. Factor 1/4*g + 0 - k*g**2. -g*(g - 1)/4 Let k(v) be the first derivative of -1/9*v**2 + 0*v + 4/27*v**3 - 1. Let k(o) = 0. What is o? 0, 1/2 Suppose m - 4*o - 15 = 0, 2*m + 2 = -o + 5. Let y(r) be the second derivative of 1/24*r**4 + 0 - 3*r + 0*r**2 + 1/120*r**5 + 1/18*r**m. Factor y(l). l*(l + 1)*(l + 2)/6 Suppose 3*r = 5*o + 38 - 0, -2*o - 20 = -2*r. Solve 11*l + 2 + r + 2*l**2 - 3*l + 0*l = 0. -2 Suppose -v - n + 18 = -3*v, -2*n = -v - 12. Let t be v/(-10)*2/8. Let 0 + t*u**2 - 1/5*u = 0. What is u? 0, 1 Let v = 11 + -8. Factor 4*b**4 - 3*b**4 + b**3 - b**3 - b**v. b**3*(b - 1) Let s be 22/(-3) - 9/(-27). Let v = s - -11. Factor y**5 - y**2 - 5*y**3 + 2*y**2 + 3*y**3 + y**3 - y**v. y**2*(y - 1)**2*(y + 1) Let b(n) be the second derivative of 2*n**2 - 1/3*n**3 + 0 - 1/6*n**4 - 7*n. Factor b(l). -2*(l - 1)*(l + 2) Let m(d) be the second derivative of -1/21*d**3 + 0 + d - 1/42*d**4 + 0*d**2. Suppose m(b) = 0. What is b? -1, 0 Let z(m) be the second derivative of -m**8/2
{ "pile_set_name": "DM Mathematics" }
ort r, f, 1/3. f, r, 1/3 Let o = -34857 - -34855. Let z be (-35)/10 + (-2)/(-4). Let y = 5 + 1. Put o, z, y, 5 in descending order. y, 5, o, z Let z = 17277 + -17280. Put -2, 1, z, 4, 12 in decreasing order. 12, 4, 1, -2, z Let j = -137762 + 137761. Let y = -0.3 - -0.4. Let l = 0.1 + y. Sort j, l, -2, -3 in increasing order. -3, -2, j, l Let z = 1.25 + -1.371. Let v = z - -44.521. Let d = -44 + v. Sort d, -1, -5, -4/7 in increasing order. -5, -1, -4/7, d Let z = 2038 - 2042.2. Put z, 3, -8 in decreasing order. 3, z, -8 Suppose -a + 0 = -3*u - 3, -u + 3*a - 9 = 0. Put u, 592, -3, 5 in descending order. 592, 5, u, -3 Let t be (4 + -3)*3 - 8. Suppose -m - 2*j - 8 = 0, 2*m + 22 = -3*m - 4*j. Let y be (3/m)/(1/(-2)). Sort 4, t, y in descending order. 4, y, t Let k = -2 + 7. Let s = -22.1 + 2.6. Let z = -19 - s. Put -3, z, k in ascending order. -3, z, k Let t = 29 - 23. Let f = t - 12. Let k = f + 4. Sort 1/6, k, -0.5 in decreasing order. 1/6, -0.5, k Let l = 45554 - 45553. Let d = -4 + 2. Put 1/6, d, 0, l in descending order. l, 1/6, 0, d Suppose -5*w + 3*d - 695 = 0, -w - 28 - 83 = 5*d. Put w, 5, -55 in descending order. 5, -55, w Let b = 1.13 + 0.37. Let l = b - 42.5. Let z = l + 36. Sort 3, -0.5, 10, z in decreasing order. 10, 3, -0.5, z Let s(o) be the third derivative of -19*o**4/24 - 3*o**3/2 + 14*o**2 + 1. Let n be s(1). Sort -0.5, -5, 2, n in descending order. 2, -0.5, -5, n Let t = -59/314 + 275/628. Let r = -1.18 - -0.18. Sort t, 4, -7/8, r. r, -7/8, t, 4 Let q be 2/(-16) + (-483)/168. Let f(z) be the third derivative of -z**5/60 - z**4/8 - z**3/3 - 2*z**2. Let i be f(q). Sort -1, 2, i. i, -1, 2 Let m = -385.3 - -385. Sort m, 3/5, 107, 5 in decreasing order. 107, 5, 3/5, m Let f be (-3520)/(-264) + ((-2)/(-6))/((-1)/1). Let a = 10 - 12. Put f, a, -2/9 in ascending order. a, -2/9, f Let k = 32.62 + -33.62. Sort -82, k, -15 in decreasing order. k, -15, -82 Let b(t) = t**2 + 22*t - 130. Let d be b(5). Let i = 113 - 117. Sort i, -0.1, d in increasing order. i, -0.1, d Suppose -4*n = -4*s + 40, 21*s + 4*n = 16*s + 59. Suppose 2*b - h - s = 0, 5*b + 4*h = 9*h + 30. Let z be (2/(-3))/(3/45). Put b, z, -5 in decreasing order. b, -5, z Let x = 83672/3 + -27890. Sort 18, -6/11, -1, x in increasing order. -1, -6/11, x, 18 Let w = -144 + 148. Let d(g) = g**3 + 5*g**2 - 5*g - 4. Let l be d(-3). Let u be (4/(-3))/((-20)/30). Put u, l, w in increasing order. u, w, l Let n(l) = -l**3 - 12*l**2 + 137*l - 24. Let i be n(7). Sort 8, -2, i in increasing order. -2, i, 8 Let y(r) = -r**2 - 3*r + 64. Let w be y(6). Let c = 7 - 7. Suppose 2*z + 1 = v, -z - 2*v = -c*v + 13. Sort z, w, -2. z, -2, w Let f(u) = -u**2 + 3*u - 3. Suppose -4*x + 12 = -0*x. Let b be f(x). Let o(r) = -14*r + 127. Let l be o(9). Put 0, b, l in decreasing order. l, 0, b Suppose -35 + 98 = 7*s. Suppose -19 + s = -10*d. Sort d, -26, 5, -2. -26, -2, d, 5 Suppose -2*k = g - 2010, -3*k - 76*g = -79*g - 2988. Sort 4, 5, k in decreasing order. k, 5, 4 Suppose 0 = 2*k + 4*q + 18, -158 = -5*k + q - 181. Sort k, -25, -1, 4 in descending order. 4, -1, k, -25 Let s = 394 - 399. Suppose -6*r + r = 0. Suppose 4*v - 36 + 32 = r. Put 5, v, s, -2 in decreasing order. 5, v, -2, s Let v = -56 - -58. Let m(p) = -p**3 - p**2 + 1. Let l be m(-1). Suppose 4*w + 3*n - 29 = 0, -3*w - 3*n + 7*n = -3. Sort w, v, l in descending order. w, v, l Let d be (9 + 9)/(-234) - 92/(-13). Put -4, -4/5, -0.3, 0.4, d in decreasing order. d, 0.4, -0.3, -4/5, -4 Suppose l + 4*w - 3*w = 6, 5*l - 12 = 4*w. Suppose -p + 7*i - l*i = 6, -4*i = -2*p - 8. Let v = 73/45 + -7/5. Sort v, -1/2, p in descending order. v, p, -1/2 Suppose -5*n - c + 4 = -5, -5*c = -n + 7. Let t = -14 - n. Let f be (-1)/(2/t*-1). Put f, 5, -1 in increasing order. f, -1, 5 Suppose -8*o + 13*o = 15. Suppose -2*n - 2*l - 6 = 24, -l = -o*n - 45. Let b = 10 + n. Put b, -1, 0 in increasing order. b, -1, 0 Let f(m) = -m + 1. Let q be f(-4). Suppose 2*y - 5 = -4*k - 23, -5*y = k + 9. Sort k, -2, q in ascending order. k, -2, q Suppose -111*f - 3300 = -11*f. Put -141, f, 0 in descending order. 0, f, -141 Let s = -0.47 + 0.46. Let t be (-76)/(-308) + (-17)/(1190/30). Sort -5, s, t in increasing order. -5, t, s Let p be (8/20)/((-32)/80). Put 267, p, -5 in increasing order. -5, p, 267 Suppose -12*x + 76 = -92. Let n be 10/35*x + 34/(-8). Sort n, 1, 3. n, 1, 3 Let n be ((-196)/(-35))/((-72)/180). Sort -1/21, 1/4, -2/5, 2/9, n in ascending order. n, -2/5, -1/21, 2/9, 1/4 Suppose 0 = -71*k + 29 - 29. Put k, 4, -14 in increasing order. -14, k, 4 Let l = 3786 + -3785. Sort 57, 4, 2, -2, l in decreasing order. 57, 4, 2, l, -2 Let c(n) = 10*n - 8. Let w(j) = -j. Let f(x) = -2*c(x) - 18*w(x). Let k be f(5). Suppose k = 4*m + 2*g, -2*m - 4*g = 3*m - 6. Sort m, 1, -4 in descending order. m, 1, -4 Let u be ((-12)/(-152))/((-3)/4). Let s be (30/77)/(9/63). Let p = -71/22 + s. Sort u, p, 5, -2 in decreasing order. 5, u, p, -2 Suppose 0 = 47*b + 90*b. Put 352, -2, b, 4 in descending order. 352, 4, b, -2 Suppose -60*g + 10 = -63*g + 4*q, 6 = -5*g + 4*q. Sort -2, -349, 3, g, -1. -349, -2, -1, g, 3 Let l = 59801 + -59801. Let z = -3 - -2. Sort -15, z, l, -5 in increasing order. -15, -5, z, l Let g = 8027.7 + -8028. Put 4, -482, 0.2, g in ascending order. -482, g, 0.2, 4 Let f = 142 - 62. Let g = f + -84. Let c = 284 + -282. Sort 3/7, c, 13, g in decreasing order. 13, c, 3/7, g Let q = -41.08 - 3.32. Let m = q + 47. Let j = 2.4 + m. Sort 2/17, j, -16, 2 in decreasing order. j, 2, 2/17, -16 Let t = -3604 - -3600. Put 69, 10, t, 5 in ascending order. t, 5, 10, 69 Let o = 0.22245 - 0.22245. Sort -14, -2/9, o, 1/5 in decreasing order. 1/5, o, -2/9, -14 Suppose -60*f - 125 = 55. Sort -2, 489, f, -4. -4, f, -2, 489 Let q = -300 - -178. Let j = q - -118. Put -12, 0.2, j in increasing order. -12, j, 0.2 Suppose 3*u - 4*r - 14 = 0, 2*u + 3*r = 2 - 4. Let w be (-248)/24 + u/6. Let o be 4/(-6) - (-3)/(-9). Sort 2, -2, w, o in descending order. 2, o, -2, w Let x = 11 + 42. Let m = x - 47. Let j(h) = 2*h - 3. Let f be j(m). Put f, -1, -4 in ascending order. -4, -1, f Let m = 16 - 15. Let b = -2529 - -2531. Sort m, 3, b, 0 in increasing order. 0, m, b, 3 Let k = -18 - -12. Let b(h) = -h**2 - 12*h - 21. Let s be b(-6). Let l be (13 - s)*(-2 - 0). Sort -1, l, k, -5 in ascending order. k, -5, -1, l Let t be 1/4 - 65/20. Let u(f) = -f**2 - 2*f + 3. Let a be u(t). Suppose n + 9 = -4*m - 4, -5*m = -4*n + 32. Sort n, -4, a in decreasing order. n, a, -4 Let a(u) = u**3 - 70*u**2 - 797*u - 233. Let l be a(80). Sort -3, -2/7, l, 8/25 in descending order. l, 8/25, -2/7, -3 Let v(i) = -i**3 - 3*i**2 + 106*i - 64. Let n be v(9). Put n, 13, 0.5 in decreasing order. 13, 0.5, n Let y = -4907/15 + 327. Let h be 2/(-4) + (-2 - 120/(-21)). Let v = h + -53/14. Put v, y, 0.08 in descending order. 0.08, y, v Suppose -6*u + 22 = 5*u. Let y = -595 + 602. Put 4, 3, u, y in descending order. y, 4, 3, u Suppose 0 = -a + 5*o + 35, 3*o - 1497 = 5*a - 1518. Put -0.055, a, -0.4, 0.5 in ascending order. -0.4, -0.055, a, 0.5 Suppose 1641*t = 1662*t + 63. Sort 3, 0, 52, t in ascending order. t, 0, 3, 52 Suppose 3*z + 23 = -k, -5*z - k - 3*k = 29. Let t(y) = y**2 + 10*y + 7. Let a be t(z). Suppose 8*w = 488 - 480. Put a, w, 5, -1 in increasing order. a, -1, w, 5 Let x = 46 - 19. Let r = -26.904 + x. Let q = r - -43.904. Sort q, 0, -2/5 in increasing order. -2/5, 0, q Let q = -3132 - -3135. Put -0.1, -8.3, q, 1/5 in descending order. q, 1/5, -0.1, -8.3 Suppose -36*u + 540 = -9*u. Let p be u/(-6) - 12*2/(-18). Let j(o) = -o**3 + 8*o**2 + 8*o. Let c be j(9). Sort 0, p, c in decreasing order. 0, p, c Let s = -22896 + 22898. Sort -5, 4, s, 6 in ascending order. -5, s, 4, 6 Let d = 3987 - 3982. Put d, 2, -392 in decreasing order. d, 2, -392 Let r = 6737 - 6745. Sort r, 22, 0, -1. r, -1, 0, 22 Let c be (-1838)/(-22975) + (746/50 - -2). Put -1, -158, c, -5 in increasing order. -158, -5, -1, c Let x = -125.2347 - -0.0347. Let q = x - -125. Let r be 2 - 3*(-26)/(-48). Sort -0.3, 2, q, r in decreasing order. 2, r, q, -0.3 Suppose -84 = -65*i + 44*i. Suppose -10 + 2 = -3*f - i*r, 0 = f - 2*r + 4. Sort -5, -2, -0.5, f in increasing order. -5, -2, -0.5, f Suppose -3*n + 3 = -0*n. Let t = -2764 + 2463.8. Let i = 300 + t. Sort n, 0.11, i in decreasin
{ "pile_set_name": "DM Mathematics" }
w(4). 2, 11 Let n(y) = y - 1. Let w be 15/10 + (-2)/4. Let j(i) = -5*i - 8. Let k(h) = w*j(h) - 5*n(h). List the prime factors of k(-2). 17 Let m be (0 + -1)*(-4)/4. What are the prime factors of (m - 19)*4/(-8)? 3 Suppose 5*j + 6*q - 30 = 3*q, 2*q + 2 = 4*j. Suppose -4*p = -j*z + 14, 5*z - 4 = p + 8. List the prime factors of z. 2 Suppose -11 = 3*q - 128. Let i = q + -27. Suppose -i + 0 = -2*s. What are the prime factors of s? 2, 3 Let q be (3/(-3) - -1) + 96. Suppose 2*i + 16 = q. Let p = i - 29. What are the prime factors of p? 11 Let z = 51 + 41. What are the prime factors of z? 2, 23 Suppose 5*o - o - 28 = 0. Suppose 2*z = o*z - 15. Suppose 4 = 4*p + 5*w, -5*p + z*w - 21 + 63 = 0. What are the prime factors of p? 2, 3 Let m(s) = 5*s**2 - 6. List the prime factors of m(5). 7, 17 Let j = 3 - 9. Let d be (-152)/j + 2/3. Let q = d - 14. What are the prime factors of q? 2, 3 Let s = 0 - 2. Let w be 1 + (2 + s)*-1. Suppose -3 - w = -m. List the prime factors of m. 2 Suppose 0 = -2*g - 3*n + 97, 0 = -4*g + 3*n + 19 + 130. List the prime factors of g. 41 Suppose 0 = -5*g - 5*r - 45, -4*r - 8 - 4 = 2*g. Let z = g - -22. List the prime factors of z. 2, 5 Let b(a) be the second derivative of -a**4/12 + a**3 - 3*a**2/2 + 3*a. Let n be b(5). Suppose 6*j - j - 6 = -s, n*s - 12 = 2*j. What are the prime factors of s? 2, 3 Suppose 2*r + q + 11 = 3*r, r + 3*q - 7 = 0. List the prime factors of 64/r - 12/30. 2, 3 Let c(h) be the second derivative of 5*h**3/2 + 3*h**2/2 + 3*h. Let r be c(4). Suppose -5*f + r = 4*l + 13, l + 61 = 4*f. List the prime factors of f. 2, 7 Suppose 2*n - z + 37 = 111, 4*n = -3*z + 158. List the prime factors of n. 2, 19 Let t = 1 + -1. Suppose -5*n - b + 6*b + 10 = t, -n + 4*b - 13 = 0. What are the prime factors of n? 7 Suppose 403 = 5*z - 262. List the prime factors of z. 7, 19 Let u = -15 + 25. Suppose -2*k + u = 3*i, 0 = 3*k + 3*i - 15. Suppose h - 3*h = 2*w - 14, h - 51 = -k*w. What are the prime factors of w? 11 Suppose 3*z = 18 - 6. Suppose 2*p - 4*p = z*r + 10, r - 1 = 3*p. Let q = p - -10. List the prime factors of q. 3 Suppose -5*j - 10 = -4*y - 3*j, -5*y = -j - 14. What are the prime factors of (-1)/2*-26 + y? 2 Suppose -5*r + 2*r = -126. What are the prime factors of r? 2, 3, 7 Let p(r) = -r**3 + 8*r**2 + 4*r + 11. What are the prime factors of p(8)? 43 Suppose c + 0*f - 3*f = 21, -3*c + 63 = -f. What are the prime factors of c? 3, 7 List the prime factors of 8 - (-3 + 2)*2. 2, 5 Let c be 0/(-1 + 2 - 0). Let s be 1/(c + (-3)/(-6)). Suppose 2*r + 2*r = s*q + 20, -2*r - 2*q = -22. List the prime factors of r. 7 Let v(s) be the first derivative of -s**2 - 2*s + 4. List the prime factors of v(-5). 2 Let i(c) = c**3 + 2*c**2 + 2*c + 227. List the prime factors of i(0). 227 Let i be (-108)/(-30) + 4/10. What are the prime factors of 99/22*i/3? 2, 3 Let o(n) be the third derivative of -n**6/120 - n**5/12 + n**4/24 + n**3 - n**2. Let v be o(-6). Let h = v + -25. What are the prime factors of h? 11 Let s(w) = -w**3 + 4*w**2 - w. Let z be s(2). Let f be z*-1*(-6)/9. Let u(o) = o**2 - o + 4. List the prime factors of u(f). 2 Let w(q) = -9*q - 3. Let p be w(-2). List the prime factors of p - -8 - 0/2. 23 Suppose -4*h = -3*h - 22. What are the prime factors of h? 2, 11 Let x(a) = -a**3 + 6*a**2 + a. List the prime factors of x(6). 2, 3 Let z = -1 - -3. Suppose 2*s + 0*s + h = 39, -3*h + 33 = z*s. Let u = s + -14. List the prime factors of u. 7 Let n(x) = -x + 8. What are the prime factors of n(-3)? 11 Suppose 0 = 8*n - 13*n + 110. Let g = -11 + n. List the prime factors of g. 11 Let g be (-3)/((-9)/6) + -284. Let s be 2/(-7) + g/(-7). Suppose 5*x - 5*n - s = 0, 3*x = x - n + 16. List the prime factors of x. 2 Let s be (42 - (-3 + 2)) + 0. Let o be (-16)/4 - (28 - 4). Let b = s + o. What are the prime factors of b? 3, 5 Let i = 19 + 237. What are the prime factors of i? 2 Let p = 23 + -13. Let o = 1 + p. What are the prime factors of o? 11 Let x(y) = y + 4. Let c = 7 + 0. List the prime factors of x(c). 11 Let u be -3*((-20)/3)/(-5). Let w = u - -7. Suppose 2*o + 0*f + w*f - 18 = 0, -4*o = -4*f - 36. List the prime factors of o. 3 Let o = 122 + -77. Suppose 4*j - j = o. What are the prime factors of j? 3, 5 Let w be ((-20)/8)/(2/(-4)). Let s be 6/2 + w/5. Suppose 2*p = 4*m + 38, -s*p + 2*m + 41 = -p. What are the prime factors of p? 11 Suppose -m + 72 = 3*j, j + 2*m = -m + 24. What are the prime factors of j? 2, 3 Suppose -5 + 0 = i. Let o(q) = -q**3 - 5*q**2 + q + 7. List the prime factors of o(i). 2 Let w = 6 - 4. What are the prime factors of w? 2 Suppose -3 = -p, 88 - 18 = 2*b - 4*p. Let d = -21 + b. Suppose d = -o + 3*o. What are the prime factors of o? 2, 5 Suppose -3*j + 9*a = 4*a - 47, -j + a = -15. Suppose 0*c + 2*c + j = 0. Let g = c + 17. List the prime factors of g. 2, 5 Suppose 0 = 5*w + 10, 2*w + 4 = -5*y - 0*w. What are the prime factors of 0 + 1 + 2 + y? 3 Let p = -36 - -24. List the prime factors of (-75)/2*p/18. 5 Let y = 2 + 12. List the prime factors of y/(-77) + (-189)/(-11). 17 Let f(x) = -5*x + 3. Let d be f(-5). Suppose -l = 2*j - d, 0 = -4*j + 5*l + 23 + 5. List the prime factors of j. 2, 3 Suppose 0*u - 2*u = -20. Suppose 2*c + 6 = -2*m - u, -3*m + 3*c = 6. Let x(h) = -h**3 - 5*h**2 - 4*h - 6. What are the prime factors of x(m)? 2, 7 Let n(v) be the third derivative of -v**5/60 - 7*v**4/24 + 7*v**3/6 - 3*v**2. List the prime factors of n(-6). 13 Let d = 3 + 2. Suppose -d*u + 7 = 22. Let b = 5 + u. List the prime factors of b. 2 Suppose -2*x = -4*x + 8. Suppose -x*m = -3 - 9. List the prime factors of m. 3 Let o = 4 + 26. Let a = o + 9. List the prime factors of a. 3, 13 Let o = 22 - -14. List the prime factors of o. 2, 3 Let z be (-6)/9*9/(-2). Suppose z = -h + 5. List the prime factors of h. 2 Let p(h) = -5*h**3 + 3*h**2 - 8*h - 7. Let m(g) = 14*g**3 - 10*g**2 + 23*g + 21. Let j(t) = -4*m(t) - 11*p(t). List the prime factors of j(6). 5 Let w = -59 + 152. List the prime factors of w. 3, 31 Suppose 0 = -x - x + 4. Suppose -j = 2*h - 7, 0 = x*h + 3*j - 2 - 3. List the prime factors of h. 2 Let u(z) be the first derivative of -z**4/4 - 2*z**3 - 3*z**2 + 3*z + 1. Let d be 45/(-10) + (-1)/2. What are the prime factors of u(d)? 2 Suppose -3*w + 104 + 19 = 0. What are the prime factors of w? 41 Suppose 4*i - 197 = -3*b, 2*i + 5*b = 2*b + 97. List the prime factors of i. 2, 5 Let r be 5*(0 + 7 + -2). Suppose 5*g = -r, 0 - 23 = -4*l - g. List the prime factors of l. 7 Let d(q) = -q**2 + 7*q + 8. Let o be d(6). List the prime factors of (7/o)/(2/68). 17 Let k = 17 + -161. What are the prime factors of 4/10 - k/15? 2, 5 Let h(n) = -n**2 - 9*n - 4. Let q be h(-8). Suppose 0 = -q*v + 2*v + 8. List the prime factors of v. 2 Let k(a) = a**2 - 13*a + 17. Let b be k(12). Suppose 26 = b*f + j, 4*j - 19 = -3*f - 0*j. What are the prime factors of f? 5 List the prime factors of (-1 + 0)*1*-11. 11 Suppose 2*h = -q + 6*h + 94, 0 = -2*q - 4*h + 188. List the prime factors of q. 2, 47 Let f(m) = -m**3 - m**2 + 61. What are the prime factors of f(0)? 61 Let r = 4 + 1. Suppose r*t - 40 = -0*t. What are the prime factors of t? 2 Let l = -14 + 23. Suppose -2*v + v - 6 = 0. Let b = v + l. List the prime factors of b. 3 Let k be 3/(3/(-4)) + 3. What are the prime factors of k/((-4)/(-32)*-1)? 2 Let n(h) = 9*h + 7. Let j(d) = -d - 1. Let c(s) = 40*j(s) + 5*n(s). Let g be c(5). Suppose 2*y + 29 + 21 = 5*m, -2*m + g = -y. What are the prime factors of m? 2, 5 Let x(u) be the first derivative of u**2/2 + 7*u - 2. Let b be x(-5). Suppose -1 = b*a - 13. List the prime factors of a. 2, 3 List the prime factors of 0 - (-72)/(6 + -4). 2, 3 Suppose 1820 = 5*c + 5*c. List the prime factors of c. 2, 7, 13 Suppose 210 = 2*z + 3*m + m, -12 = -4*m. What are the prime factors of z? 3, 11 Let u = -4 + 17. Let z = u + 3. List the prime factors of z. 2 Suppose -i = -2 + 4. List the prime factors of ((-86)/3)/(i/3). 43 Let w(o) = -o**3 + o**2 - o + 135. List the prime factors of w(0). 3, 5 Let n = -8 + 10. Let z = 6 + n. List the prime factors of z. 2 Let m(k) = -42*k - 1. What are the prime factors of m(-1)? 41 Let h(k) = 7*k + 2. Let b be h(-6). Suppose 3*y + 9 = -72. Let v = y - b. What are the prime factors of v? 13 Let a be -1*2*6/(-4). Let h be
{ "pile_set_name": "DM Mathematics" }
, -4*k = 3*o + k + 16 for o. -2 Solve 2*z = 3*u - 4, 27*z - 26*z + 4*u - 20 = 0 for z. 4 Solve 4*g = 4*o + 28, -5*g + 8 = 5*o - 7 for g. 5 Solve 5*s = 11*i - 16*i - 5, 2*s - 3*i = -17 for s. -4 Solve -5*y - 2*x = -20, -2*y - 2*x + 16 = y for y. 2 Solve 3 = -c + r, 4*c + 11 = 5*r - 0 for c. -4 Solve -5*y = -4*j + 26, 4*y + 3*j - 12 = -2*j for y. -2 Solve -12 = -5*r + 4*m - 2*m, -4*r = 3*m - 5 for r. 2 Solve -x - 3*k - 3 = -9, -5*x - 18 = -k for x. -3 Solve -5*a - 2*y = -6*y - 17, -2*a + 14 = 2*y for a. 5 Solve -8*s + 10*s + 2*h + 4 = 0, 0 = 3*h - 3 for s. -3 Solve -31*a + 28*a + m = 4, 16 = a + 4*m for a. 0 Solve -5*p + 5 = 5*m, -4*p = -167*m + 164*m - 11 for p. 2 Solve w + c - 1 = 0, 2*c - 5 - 1 = -3*w for w. 4 Solve 4*a - 14 + 5 = 3*b, 4*b - 13 = -3*a for a. 3 Solve -2*b - 18 = -2*t - 2*t, 0 = b - 3*t + 14 for b. 1 Solve -2*k - 6 = a - 4*a, 0 = 4*a + k + 3 for a. 0 Solve -2*f = -8, 3*q - 6*f = -4*f - 29 for q. -7 Solve -2*f + 4*v + 18 = 0, -4*f + 9*v = 11*v + 14 for f. -1 Solve 12 = -4*q + 3*r, -4*q - 36 = -2*r - 20 for q. -6 Solve -5*g + 3*p = 5, -4*g + 4*p - 22 + 18 = 0 for g. -1 Solve 27 = 3*v + 2*s + 28, -3 = -2*v - 5*s for v. -1 Solve -2*g = -5*f + 8, -3*f + 0*f = 0 for g. -4 Solve -400*t - 12 = 4*n - 396*t, 3*n - t = -1 for n. -1 Solve 4*o = 4*w - 0 - 4, 3*w = 4*o + 5 for o. -2 Solve -3*p - 3 = 4*s, 3*p - s - 21 = 3*s for p. 3 Solve s + 115*g = 111*g + 3, -4*s + g + 12 = 0 for s. 3 Solve -14 = 3*x + o, -15 + 18 = 3*o for x. -5 Solve -5*r + 2 = -r + 2*x, 0 = -4*r - 5*x - 13 for r. 3 Solve k + 9 = 7*x - 4*x, -4*k = -x - 8 for k. 3 Solve 0*n = 2*n - 4*m - 6, -2*m - 8 = -2*n for n. 5 Solve 4*m - 2 = m - k, 0 = 5*m + 4*k - 1 for m. 1 Solve y + k = 4 - 6, 0 = -2*y - k for y. 2 Solve 2*c = w + 11, -3*w - 20 = w for c. 3 Solve 4*f - 2*j + 6 + 0 = 0, f = -5*j + 26 for f. 1 Solve 26 = -5*m - 3*c, -19*c = 4*m - 16*c + 22 for m. -4 Solve d + 2*y = 13 - 10, 0 = -d - 4*y + 7 for d. -1 Solve 0 = -v - 5*k + 5, -5 = -6*k + k for v. 0 Solve 0 = d + 2*k - 2, 4*k = 3*d + 430 - 416 for d. -2 Solve -106*o - 12 = -4*h - 111*o, -h + 3 = -3*o for h. 3 Solve 12 = -4*f + 7*b - 8*b, -b = 0 for f. -3 Solve -10 = -3*w + a, 0 = -2*w - w + 3*a for w. 5 Solve 0 = -2*s - l - 1, -2*s - 1 = 3*s + 4*l for s. -1 Solve -5*k = -0*k + 3*t - 24, -3 = -2*k + t for k. 3 Solve 4 = w, 3*k - w = -0*k - 19 for k. -5 Solve -5*i + 25 = 2*q, 0 = -4*q + 48*i - 44*i - 20 for q. 0 Solve 46*r + 16 = 43*r - 5*y, -3*r - 2*y = 1 for r. 3 Solve -7*s - 15 = -5*p - 3*s, 3*p = 5*s + 22 for p. -1 Solve 5*i - 6*i + 5*x + 9 = 0, 4*x = 3*i - 5 for i. -1 Solve -u + 18 = -3*v, -u - 3 - 19 = 5*v for u. 3 Solve -3*h + 2*n + 2 = -2*h, -4*h - 4*n + 8 = 0 for h. 2 Solve o - 1 = 2*s, 4*s + 4*o = 8*s for s. -1 Solve -5*u + 6 = j, 2*j - 5*u = -3*u for j. 1 Solve 4*s + 28 = 2058*o - 2062*o, 4*o + 3*s + 24 = 0 for o. -3 Solve a = -4*z - 13, -z + 2*z + 6 = -3*a for a. -1 Solve 0 = 21*c - 18*c + 5*y - 10, 0 = -8*c + 3*y + 43 for c. 5 Solve 7*n - 10*n - 3*r = 0, 0 = 4*n - 2*r - 18 for n. 3 Solve 5*j + 13 = -6*h + 5*h, -2*h = -4*j - 16 for j. -3 Solve -4*i + 12 = 5*h, 2*i - 16 = -2*h + 6*i for h. 4 Solve -9*i + 4*i - 3 = k, -i = 2*k - 3 for i. -1 Solve -3*y + 7 = 4*x - 0, 2*x - 1 = y for x. 1 Solve -5*g = 20, 29*g - 32 = 4*x + 34*g for x. -3 Solve -4*c - 24 = -19*s + 15*s, 0 = 5*s + 4*c - 12 for s. 4 Solve -2*a - j = -2, j = a + 34 - 29 for a. -1 Solve -4*i - 5*n = -22, 14 = 5*n + 4 for i. 3 Solve 25*k - 20*k = -5*j - 10, 5*j = 5*k - 40 for j. -5 Solve 8 = 2*m + 2*f, -5*m - f + 7 = 3 for m. 0 Solve 5*o = 4*y - 33, -68 = -5*y + o - 32 for y. 7 Solve 4 = 3*x + s, -2*x - 20*s - 16 = -24*s for x. 0 Solve -1 = d + 2, -5 = 2*p + 5*d for p. 5 Solve -r + 2*v = 11, 2*r + 70*v - 65*v - 32 = 0 for r. 1 Solve 2*p + 2*p + 3*n - 11 = 0, -2*p - n = -7 for p. 5 Solve -2*j = -2*z - 2, 4*j + 21 = -5*z - 20 for z. -5 Solve -30*f + 32*f - 4*l + 6 = 0, -2*l = -5*f - 31 for f. -7 Solve 4*q - 5*i + 7 + 4 = 0, -3*q = -i for q. 1 Solve 18 = -3*b + 5*g, 2*b + 4*g - 13 = -g for b. -1 Solve 4*k - 2*u - 2 = 0, -5*u = -2*k - 41 + 46 for k. 0 Solve 41 = -5*g - 2*i, 3*i = 3*g - 309 + 321 for g. -7 Solve -4*s - 30 = -2*i - 32, 4*i = -5*s - 4 for i. -1 Solve 3*o = 6, 0 = -3*q + 2*q + 3*o - 3 for q. 3 Solve 3*a - 3 = -2*o, 2 = -10*a + 5*a - o for a. -1 Solve 2*z = -5*y - 17, 4*z - 4 + 8 = 0 for y. -3 Solve -3*t = j - 3*j + 5, -3*j = -2*t - 5 for j. 1 Solve -m - 2*w + w = 4, 2*m = 5*w + 27 for m. 1 Solve -15 = -6*p + 5*p - 3*j, -4*j + 16 = 0 for p. 3 Solve 5*j = u, -j - 29 + 3 = 5*u for u. -5 Solve 5*s + 5*f = -30, -4*s + 16 = 3*f - 7*f for s. -1 Solve 3*x - 4 = -0*x + y, 4*y + 16 = -2*x for x. 0 Solve 11*s = 9*s - 5*o + 18, 9 = -s + 2*o for s. -1 Solve 8*f - 19 = 5*z + 10*f, 6 = -3*z - 3*f for z. -5 Solve -8 = 4*c, -3*w + 5*c - 8 = -6 for w. -4 Solve 0 = l + 2*x + 4, -3*x - 13 = -26*l + 24*l for l. 2 Solve -3*b + 2*z = -2*b + 10, 0 = -3*z + 6 for b. -6 Solve 4*t = -5*i, -t + 2 = -5*i - 23 for i. -4 Solve 0 = -4*w - 8, -5*w + 4 + 1 = 5*t for t. 3 Solve -3*b - 18 = 4*f - 4*b, -2*f - 20 = 5*b for f. -5 Solve -4*f - s = -0*s + 4, f - 4*s = -1 for f. -1 Solve 0 = -4*l + 5*c - 2, 2*l + c + 4 = -4 for l. -3 Solve p - u = -5, 3*u = 8 - 2 for p. -3 Solve -2*t + 35 = 6*k - k, -2*t = -3*k + 5 for t. 5 Solve -10*g + 7*g - 5*x + 31 = 0, 2*x = g + 8 for g. 2 Solve -3*m + 9*h - 3 = 5*h, 5*h - 2 = 2*m for m. -1 Solve -3*o - 8 = 5*n, -2*n + 4 = o + 2*o for o. 4 Solve -4*x + 5*v - 41 + 37 = 0, 0 = 2*x - 3*v + 2 for x. -1 Solve -3*v - 3*a = -2*v + 19, 5*v + 4*a = -7 for v. 5 Solve -5*i + 15 = 0, 8*i = -3*f + 3*i for f. -5 Solve -3*f = -g - 4, 5*f - 7 + 1 = 2*g for f. 2 Solve -4*w + 2*w - 20 = 4*s, -4 = w for s. -3 Solve 3*l + h + 40 - 52 = 0, 2*h - 8 = -2*l for l. 4 Solve -3*b + 10 = -t - 6*b, -3*t + 10 = b for t. 5 Solve -4*h = 5*r - 31, 0 = 5*h + 10*r - 9*r - 23 for h. 4 Solve 0 = -3*b - 2*z - 7, -b + 26 = -0*b - 5*z for b. 1 Solve 2*g + 10 = -3*t, -5*g - t = 15 + 10 for g. -5 Solve 4*r + 4 = h, r + 3*r = 3*h - 12 for r. 0 Solve 7 = u - 2*o + 2, 15 = u - 4*o for u. -5 Solve 3*r = -3*c - 6, 0 = 5*r + 6*c - 3*c + 14 for r. -4 Solve 2*l = -5*s - 0 + 18, 2*l - 2*s + 10 = 0 for l. -1 Solve -17*b + 4*o + 6 = -14*b, 3*b + 12 = -2*o for b. -2 Solve -3*f = -5*s + 6, -5*f - 4*s = 17 - 7 for f. -2 Solve q - 5*n = -9, -26*n - 13 = -5*q - 30*n for q. 1 Solve -51 = -3*g - 4*l - 20, 5*g - 5*l - 5 = 0 for g. 5 Solve -4*k - w - 26 = -43, -3*k - 4*w = -16 for k. 4 Solve -2*k - 8*y = -9*y - 10, 10 = 2*k - 3*y for k. 5 Solve b = -4*u - 16, -5*u = -3*b + 52 - 15 for b. 4 Solve 9*p - 2 = 8*p - x, -4*x = -4*p + 32 for p. 5 Solve -5*a + 15 = 0, 2*z - a + 15 = 8 for z. -2 Solve 1 = s - 2*q, -41 + 34 = -3*s + 4*q for s. 5 Solve 0 = 3*x - 4*p - 13, 0 = x + 4*p - 214 + 215 for x. 3 Solve 8 = 4*x + 4*p, x + 2 = 21*p - 26*p for x. 3 Solve 4*r - r - 4*p = 15, -2*p = -4*r for r. -3 Solve 3*u + i - 10 = 0, -4*u - i + 6 + 7 = 0 for u. 3 Solve -4*x + 5 = -11, 0 = 4*d + 4*x + 4 for d. -5 Solve 2*x - 32 = 15*j - 6*j, x - j = 9 for x. 7 Solve -3*s = -k + 2, 6*s = 7*s - 5*k - 18 for s. -2 Solve 0 = 3*a + r + 1, -1 = 8*a - 12*a + r for a. 0 Solve u - 2*u - j = 6, -5*u - 14 = -3*j for u. -4 Solve 5*i + 8 = 2*y - 3, -i - y + 2 = 0 for i. -1 Solve -b - 5*h = -0*h - 6, -2*b - 2 = -4*h for b. 1 Solve -9*f = 3*i - 8*f - 1, -3*f - 10 = -4*i for i. 1 Solve -5*v = -5*y + 25, -3*v + 72 = 5*y + 71 for y. 2 Solve 0 = -4*w + 2*g - 0*g + 6, 3*w - 3*g = 0 for w. 3 Solve 0 = 4*v - d + 15, -4*v - d - 12 = 5 for v. -4 Solve -10*h + 15*h + 4*m + 10 = 0, 5*h = 4*m - 10 for h. -2 Solve -o - 9*i = -12*i + 6, -o + 6 = 3*i for o. 0 Solve 23*a = 22*a + 4*h - 19, 5*h - 30 = -5*a for a. 1 Solve -4*a - 5*w + 10 = 0, w = -4*a + 3*w - 4 for a. 0 Solve 10 = 2*s + 5*u, -10 = 4*s + 8*u - 13*u for s. 0 Solve 8 = -3*x - 4*y, 5*y = 3*x - 2*x - 10 for x. 0 Solve -x - 4*x - 5*o - 30 = 0, 3*x + o + 16 = 0 for x. -5 Solve -3*a - 12*g - 4 = -16*g, -a - 3*g + 3 = 0 for a. 0 Solve -15 = -3*p + 4*r, r - 5 = -p - 0*r for p. 5 Solve -i - 9 = 2*a, 5*i + 6 = 7*a - 4*a for i. -3 Solve -4*q = -17*w + 14*w - 1, 0 = -5*q + 3*w + 5 for q. 4 Solve -12 = 5*g - 11*l + 7*l, 0 = 4*g + 2*l - 6 for g. 0 Solve 4*p + 3*d - 32 = -0*d, -4*p - 2*d + 28 = 0 for p. 5 Solve w = -5, 13*w = i + 8*w - 23 for i. -2 Solve 4*r + 4*b = -36, 13*r - 37 = 16*r + 5*b for r. -4 So
{ "pile_set_name": "DM Mathematics" }
691 to the nearest integer? 6876 What is 31561102 to the power of 1/3, to the nearest integer? 316 What is 7241508432 to the power of 1/2, to the nearest integer? 85097 What is the third root of 20570496 to the nearest integer? 274 What is 3472798377 to the power of 1/7, to the nearest integer? 23 What is the sixth root of 806442282 to the nearest integer? 31 What is 214129406 to the power of 1/3, to the nearest integer? 598 What is 33339668 to the power of 1/5, to the nearest integer? 32 What is 650649245 to the power of 1/2, to the nearest integer? 25508 What is the third root of 450344487 to the nearest integer? 767 What is the ninth root of 4195240969 to the nearest integer? 12 What is 35214164 to the power of 1/5, to the nearest integer? 32 What is 116828872 to the power of 1/3, to the nearest integer? 489 What is the third root of 541596001 to the nearest integer? 815 What is the fourth root of 441679078 to the nearest integer? 145 What is the eighth root of 78584506 to the nearest integer? 10 What is the square root of 2266458746 to the nearest integer? 47607 What is the tenth root of 5879908 to the nearest integer? 5 What is the third root of 206154739 to the nearest integer? 591 What is the square root of 47696972 to the nearest integer? 6906 What is the fourth root of 218414032 to the nearest integer? 122 What is the cube root of 841064314 to the nearest integer? 944 What is the fourth root of 138957434 to the nearest integer? 109 What is 4415509731 to the power of 1/2, to the nearest integer? 66449 What is the fourth root of 843500498 to the nearest integer? 170 What is 511659890 to the power of 1/6, to the nearest integer? 28 What is the tenth root of 31371131 to the nearest integer? 6 What is the square root of 10446365 to the nearest integer? 3232 What is the cube root of 1864082428 to the nearest integer? 1231 What is 37795973 to the power of 1/4, to the nearest integer? 78 What is 114388730 to the power of 1/2, to the nearest integer? 10695 What is 135355995 to the power of 1/10, to the nearest integer? 7 What is 96188083 to the power of 1/3, to the nearest integer? 458 What is the eighth root of 37114994 to the nearest integer? 9 What is the cube root of 1315539910 to the nearest integer? 1096 What is the third root of 46265144 to the nearest integer? 359 What is the square root of 102532644 to the nearest integer? 10126 What is 307133710 to the power of 1/3, to the nearest integer? 675 What is the cube root of 40873322 to the nearest integer? 344 What is the fourth root of 1890409326 to the nearest integer? 209 What is 53053970 to the power of 1/2, to the nearest integer? 7284 What is 339635379 to the power of 1/3, to the nearest integer? 698 What is 28005306 to the power of 1/3, to the nearest integer? 304 What is the square root of 226649352 to the nearest integer? 15055 What is 87509189 to the power of 1/9, to the nearest integer? 8 What is 57484748 to the power of 1/3, to the nearest integer? 386 What is the third root of 60719707 to the nearest integer? 393 What is 3616665374 to the power of 1/2, to the nearest integer? 60139 What is the cube root of 540349723 to the nearest integer? 815 What is the fourth root of 2240423578 to the nearest integer? 218 What is the cube root of 312121731 to the nearest integer? 678 What is 158971956 to the power of 1/10, to the nearest integer? 7 What is the tenth root of 318260040 to the nearest integer? 7 What is the square root of 4773898521 to the nearest integer? 69093 What is the third root of 5152905 to the nearest integer? 173 What is 40498193 to the power of 1/2, to the nearest integer? 6364 What is 31350413 to the power of 1/2, to the nearest integer? 5599 What is 33803197 to the power of 1/7, to the nearest integer? 12 What is the eighth root of 7400208701 to the nearest integer? 17 What is the square root of 450060354 to the nearest integer? 21215 What is 77758105 to the power of 1/2, to the nearest integer? 8818 What is the square root of 141019184 to the nearest integer? 11875 What is the cube root of 1448359533 to the nearest integer? 1131 What is 18208018 to the power of 1/2, to the nearest integer? 4267 What is the fifth root of 39580274 to the nearest integer? 33 What is the square root of 477601381 to the nearest integer? 21854 What is 125414114 to the power of 1/2, to the nearest integer? 11199 What is the cube root of 82850409 to the nearest integer? 436 What is the cube root of 83480521 to the nearest integer? 437 What is 268945616 to the power of 1/10, to the nearest integer? 7 What is the sixth root of 294249103 to the nearest integer? 26 What is the tenth root of 4383367381 to the nearest integer? 9 What is 590313399 to the power of 1/8, to the nearest integer? 12 What is the ninth root of 3274580945 to the nearest integer? 11 What is the square root of 3078896738 to the nearest integer? 55488 What is the cube root of 839508508 to the nearest integer? 943 What is 9191177 to the power of 1/2, to the nearest integer? 3032 What is 28207027 to the power of 1/7, to the nearest integer? 12 What is the cube root of 67275096 to the nearest integer? 407 What is the eighth root of 66487390 to the nearest integer? 10 What is 8208263 to the power of 1/9, to the nearest integer? 6 What is 1914559642 to the power of 1/3, to the nearest integer? 1242 What is 101118122 to the power of 1/3, to the nearest integer? 466 What is the square root of 79575257 to the nearest integer? 8920 What is 5526831302 to the power of 1/3, to the nearest integer? 1768 What is 282012903 to the power of 1/8, to the nearest integer? 11 What is the third root of 530309239 to the nearest integer? 809 What is 109264414 to the power of 1/4, to the nearest integer? 102 What is 154371814 to the power of 1/2, to the nearest integer? 12425 What is the third root of 1621339535 to the nearest integer? 1175 What is the square root of 46364343 to the nearest integer? 6809 What is 1668852279 to the power of 1/3, to the nearest integer? 1186 What is the cube root of 36468193 to the nearest integer? 332 What is 1316163966 to the power of 1/2, to the nearest integer? 36279 What is the cube root of 44818186 to the nearest integer? 355 What is the third root of 1521455686 to the nearest integer? 1150 What is 3828809496 to the power of 1/2, to the nearest integer? 61877 What is the fifth root of 855358338 to the nearest integer? 61 What is 457428322 to the power of 1/2, to the nearest integer? 21388 What is the third root of 25840981 to the nearest integer? 296 What is 41125719 to the power of 1/6, to the nearest integer? 19 What is the sixth root of 7458651773 to the nearest integer? 44 What is the third root of 138150953 to the nearest integer? 517 What is the cube root of 365432975 to the nearest integer? 715 What is 80844518 to the power of 1/4, to the nearest integer? 95 What is the fourth root of 32480784 to the nearest integer? 75 What is the fifth root of 204842202 to the nearest integer? 46 What is 533140805 to the power of 1/3, to the nearest integer? 811 What is 63731709 to the power of 1/2, to the nearest integer? 7983 What is 3075297398 to the power of 1/3, to the nearest integer? 1454 What is 681136421 to the power of 1/3, to the nearest integer? 880 What is 1110218461 to the power of 1/2, to the nearest integer? 33320 What is the tenth root of 104399890 to the nearest integer? 6 What is the cube root of 76629992 to the nearest integer? 425 What is the fifth root of 42401977 to the nearest integer? 34 What is 112289861 to the power of 1/2, to the nearest integer? 10597 What is the square root of 40612371 to the nearest integer? 6373 What is 4007843 to the power of 1/2, to the nearest integer? 2002 What is the ninth root of 227942997 to the nearest integer? 8 What is the cube root of 65988073 to the nearest integer? 404 What is 162364805 to the power of 1/7, to the nearest integer? 15 What is 63603340 to the power of 1/3, to the nearest integer? 399 What is 238911596 to the power of 1/10, to the nearest integer? 7 What is 83895711 to the power of 1/7, to the nearest integer? 14 What is 22842197 to the power of 1/3, to the nearest integer? 284 What is 29149390 to the power of 1/2, to the nearest integer?
{ "pile_set_name": "DM Mathematics" }
Expand (-2 + y + 2)*((-5 + 4 - 1)*(-y + 2*y**2 + y) - 2*y**2 + 6*y**2 - 2*y**2 - 135 + 135 + 24*y**2). 22*y**3 Expand ((v - 5 + 5)*(-v**2 - v**2 + v**2) + 2*v - 2*v + 8*v**3)*(5 - 5 - 1). -7*v**3 Expand (2 + 15 + 1)*(-3 + 2 - 2*b - 1). -36*b - 36 Expand (n + n - 4*n)*(-2*n**2 + 2*n**2 + n**2) + (-43*n - 36*n + 18*n)*(4 - 4 - 2*n**2). 120*n**3 Expand (2 - 2 + 3*k)*(9*k - 9*k + k**4). 3*k**5 Expand (-j + j + 3*j)*(0 + j + 0 + (-1 + 5 - 3)*(4*j - 1 + 1)) + 2*j + 3*j**2 - 2*j. 18*j**2 Expand (3*n + n - 3*n)*(-3*n**2 + n**2 - 2*n**2) - 2*n**3 + 0*n + n + 5*n**3. -n**3 + n Expand (0*v**3 + 2*v**3 - v**3)*(4 - 2 - 2*v + v - v + 2*v + v + (-1 + 4 - 5)*(2 - 2 + 2*v)). -3*v**4 + 2*v**3 Expand -4*c + 0*c - 3*c + c + 2*c - 5*c - 1 + c + 1 + (-4 + 4 - 2*c)*(2 + 0 - 3) - c + 0*c + 3*c + 2*c + 0*c + 0*c + c - 2*c + 2*c. -c Expand (0*h**2 - 3*h**3 + 0*h**2 + (-4*h**3 + 0*h**3 + 6*h**3)*(2 + 3 - 4) + 0 + 0 + 2*h**3)*(h + 0 + 0). h**4 Expand (2 + 0 + 0)*(2*f**2 - 5*f**2 + 7*f**2) + (0 + 0 - 2)*(-f**2 + 2*f**2 + f**2) - f**2 - 4*f**2 + 2*f**2. f**2 Expand (2*m - 2*m + 2*m)*((0 + 2*m**2 + 0)*(-3*m**2 + 2*m**2 - m**2) + m**4 - 3*m**3 + 3*m**3 + 3*m**4 - 4*m**4 - m**4). -10*m**5 Expand 67*g**2 + 5 - 4 - 58*g**2 + (-g + 2*g + 0*g)*(-2*g + 3*g - 2*g). 8*g**2 + 1 Expand 0*k - 1 + 6 - k + (-2*k + 5 - 5)*(2 + 2 - 2). -5*k + 5 Expand 1 - 2*i**2 + 3*i**2 + 0*i**2 + (-2*i + i - i)*(-3*i - 4*i + 5*i). 5*i**2 + 1 Expand (s**3 - s**3 - 3*s**3)*(-7*s + 0*s - s) - s**4 + 3 - 3. 23*s**4 Expand (3*p**3 - p**3 - p**3)*(5*p + 0*p - 3*p) + (0 + 0 - p)*(p**3 - 4*p**3 + p**3). 4*p**4 Expand (2 - 3 - 2)*(-4*t**2 + 4*t**2 - 3*t**2)*(-6*t + 5*t + 0*t). -9*t**3 Expand (0 + 2 - 3 + (-2 + 3 + 0)*(4 - 4 + 2))*(-1 - 1 + 1)*(7 - 7 - 2*m). 2*m Expand (-2*q**2 + 6*q**2 - 3*q**2)*(-q**3 - 3*q**2 + 3*q**2) + 2*q**4 - 2*q**4 + 3*q**5 + (0*q**4 + 0*q**4 + 2*q**5)*(-3 + 7 + 6). 22*q**5 Expand (v + 4*v + 0*v)*(2*v - 2*v - 2*v)*(4*v + 17*v + 12*v). -330*v**3 Expand (9 - 9 + 4*b**4)*(3 - 4 + 0)*(9 - 8 + 7). -32*b**4 Expand (-g - 3*g + 2*g)*(0 + 2 - 1) + (-2 + 3 + 2)*(7*g - 4*g - 11*g). -26*g Expand 3*y**3 - 2*y**3 - 4*y**3 + (y**2 - y**2 - y**2)*(-y + 1 - 1 + y - 1 + 1 + (4 - 6 + 0)*(2*y - 3 + 3)). y**3 Expand (-3 + 3 + 11)*((3 - 4 + 2)*(3 - 3 - 2*m) + 3*m - 3*m - 2*m - 1 + 2*m + 1). -22*m Expand (-3*u + 0*u - u)*(-2*u**3 - 1 + 1) + u + 2*u**4 + 2 - 2. 10*u**4 + u Expand 3 - i**4 - 3 + (3*i - 3*i + 2*i)*(-2*i**3 - 1 + 1) - i**4 - 3*i + 3*i + 0*i**3 - 3*i**4 + 0*i**3 - 2*i + i**4 + 0*i**4 + 2*i**4. -6*i**4 - 2*i Expand (3 - 6 + 4)*(0*y**3 + 0*y**3 + 2*y**3). 2*y**3 Expand -3 + 2*q**4 + 3 + 0*q**4 + 2*q**4 + q**4 - q**4 + 0*q**4 + 2*q**4 + (-2*q**3 - 1 + 1)*(3 - 2*q - 3). 10*q**4 Expand -n**3 + n**2 - n**2 + (-2*n**2 + 0*n**2 + 0*n**2)*(-14*n + 213 - 213). 27*n**3 Expand (-4*i - 2*i + 3*i)*(3*i**3 - 6*i**3 + 2*i**3) - i + i + i**4 + (i - i - i**2)*(-2*i**2 + 2*i**2 - 2*i**2) - i**4 + 3*i - 3*i + 0*i**4 - i**4 + 0*i**4. 4*i**4 Expand (-3*a - 4 - 2*a + a)*(-2*a**3 + 0*a**3 + 0*a**3). 8*a**4 + 8*a**3 Expand (3 - 3 + 2*p**2)*(-5*p + 2*p - 5 + 2). -6*p**3 - 6*p**2 Expand (-3*z**3 + z**3 + 3*z**3)*(-206 + 99 + 115). 8*z**3 Expand -3*a**2 + a**2 - 4*a**2 - a**2 - a**2 + a**2 + (-3 + 1 + 3)*(4*a**2 + a**2 - 3*a**2). -5*a**2 Expand (3*o + 5 - 5)*(-2 + 5 - 2) - 1 + 1 + 3*o + o + 2*o - 2*o + (0 + 0 + 2)*(0 - o + 0). 5*o Expand 5*b**3 - 3 - 7*b**3 + 16 + (0*b + 5*b - 4*b)*(-2*b - b**2 + 2*b). -3*b**3 + 13 Expand (0 + 0 + c + (1 + 0 + 0)*(2 - c - 2) + 0*c - c + 0*c + 0*c + 0*c - c)*(3 - 4 + 3) + (c - 3*c + c)*(-5 + 2 + 2). -3*c Expand (-2*c + 3*c + 0*c + 0*c + 4*c - 2*c + (0 + 0 + 2*c)*(1 - 4 + 4) + c - 4*c + c - 5*c + 3*c + c + c - c + 2*c)*(48 - 17 - 13)*(-2 + 5 - 2). 72*c Expand (-8 + b + 8)*(-2 + 2 + b)*(126*b**2 + 21*b**3 - 126*b**2). 21*b**5 Expand (s + 3*s - s)*((5*s - 4*s - 2*s)*(-1 + 0 + 0) + 2 - 2 + 3*s). 12*s**2 Expand (0*u**3 + 3*u**3 - 8*u**3)*(1 - 3 + 4) + 2*u**2 - 6*u**2 + 3*u**2 + u**3. -9*u**3 - u**2 Expand (3 - 1 - 1)*(a + 2 - 2) + 2*a - a + a. 3*a Expand 5*o**3 - 2*o**3 - 30*o + 29*o + (o**3 - o**3 + o**3)*(3 + 0 - 5) + 3*o - 3*o + o**3. 2*o**3 - o Expand (2*v + 1 - 1)*(-v**2 + 2*v**2 + v**2) + 10*v**3 + 116*v**2 - 116*v**2. 14*v**3 Expand 26*z + 7*z**2 - 26*z + (2 + 0 + 0)*(-z**2 + 2*z**2 - 3*z**2) - 5*z**2 + z**2 + 3*z**2. 2*z**2 Expand 3*r**4 + 2*r - 2*r + (2*r + r - r)*(-r**3 + r**3 - 2*r**3) - r**4 + 5*r**4 - 2*r**4. r**4 Expand (6*y**5 + 3*y**5 + 2*y**5)*(-2 + 5 - 1 + (-2 - 2 + 5)*(-4 + 4 + 1)). 33*y**5 Expand (-3*o + 4*o + 0*o)*(-2*o**3 + 4*o - 4*o)*(o - 2 + 1 - 1). -2*o**5 + 4*o**4 Expand (0 - 4 + 2)*(-2*k - k + 5*k) + 2*k - k - 3*k - k + 2*k - 2*k - 2 - k + 2 + k + k + 0*k + 0 + 4*k + 3 - 3*k. -5*k + 3 Expand (o**2 + o**2 + 0*o**2)*(19*o - 48*o + 22*o). -14*o**3 Expand (49 - 49 - 6*p**5)*(4 + 0 - 5). 6*p**5 Expand -2*q + 2*q + q**2 + (2*q + q - q)*(-6*q + 3*q + 4*q). 3*q**2 Expand -m**2 + 2*m**2 + 9*m**2 + (3*m - 3*m - 2*m)*(m + m + 0*m) + (4*m - 3*m - 3*m)*(3*m - 3*m - m) + 3*m**2 - 2*m**2 - 2*m**2 - 2*m + m**2 + 2*m. 8*m**2 Expand -g**2 - g**2 - g**2 - 2*g**2 + 2*g - 2*g + (-4 + 4 + 2*g)*(-5*g + 4*g - g) - 4*g**2 + 4*g**2 - 3*g**2. -12*g**2 Expand (0 + 2*t - 4 + 5)*(19 - 15 + 15). 38*t + 19 Expand ((-4 + 2 + 5)*(3*k - 1 + 1) + 5*k + 0*k + 3*k)*(2*k**2 + k**3 - 2*k**2). 17*k**4 Expand (3 - 3 - 3)*(w - 3 + 3)*(-3 + 5 - 1). -3*w Expand (-3 - 1 + 5)*(-m**3 - 2*m**4 + m**3 + 3*m**4 - 2*m**4 - 2*m**4 + (-m + 2 - 2)*(-3*m**3 + 2*m**3 - m**3) + 37*m**4 - 80*m**2 + 80*m**2). 36*m**4 Expand (2*l + 0 + 0)*(2 - 2 - 5*l)*(-3 + 3 - l**2). 10*l**4 Expand (1 - 2 + 4)*(3*n**4 - 4*n**3 - 6*n**3 + 11*n**3). 9*n**4 + 3*n**3 Expand (-3 + 3 + p**2)*(3*p**3 - 2*p**3 + 3*p**3 - 6*p**3 + 2*p**3 + p**3 + (p**2 + 0 + 0)*(p + 0 + 0) - 2*p**3 - 2*p + 2*p - 5*p**3 + 3*p**3 + 4*p**3). 2*p**5 Expand (3*u + 2*u - 4*u)*(-3*u + 3*u - u) - 12*u**2 + 29*u**2 - 15*u**2 + 5*u + 3*u**2 - 2*u**2 + 0*u**2. 2*u**2 + 5*u Expand 0*j**2 + 2*j**2 - 3*j**2 + (0 - 2 + 3)*(-4*j**2 + 5*j**2 - 4*j**2). -4*j**2 Expand (-1 - 3 - 3)*(-6 + 6 + 6*t). -42*t Expand 3*t**2 - t**4 - 3*t**2 - 3*t**4 + t**4 + t**4 + (0*t**2 + 2*t**4 + 0*t**2)*(3 - 3 - 2) - 4*t**4 + 4*t**4 - t**4 + 0*t**4 + 5*t**4 - 3*t**4. -5*t**4 Expand 2 - 2 - 2*d**2 + (-1 + 1 - 2*d)*(0*d + 2*d + 0*d) + 3*d**2 - d**2 - d**2 - 3*d**2 - d**2 + 5*d**2 - 5*d - 5*d - 7*d**2 + 9*d**2. -2*d**2 - 10*d Expand (55 - h - 55)*(1 + 3 - 2). -2*h Expand (3*r**5 - r**5 - 4*r**5)*(-4 + 2 + 1) + (3*r**2 + 3*r**2 - 4*r**2)*(r - 2*r**3 - r). -2*r**5 Expand 5*h**2 + 10*h**2 - 22*h**2 + (0*h - h - h)*(-2 + 2*h + 2) + 5*h**2 + 0*h**2 - 2*h**2. -8*h**2 Expand (4*r - 3*r - 3*r)*(0 + 0 - 2*r**2) + r**3 - 7*r**3 - 10*r**3 - 4*r**3 + 2*r**3 + 0*r**3. -14*r**3 Expand 3*f**4 - 3*f**4 - f**4 + 0*f + 0*f + 2*f**4 + (-3*f**3 + 8*f**3 - f**3)*(-f + 4*f - f). 9*f**4 Expand 2*b + 3*b - 3*b + 8 - 2*b + 0*b + 3*b + (1 - 1 + 1)*(2*b - 4*b + 3*b) + 3*b - 4*b + 3*b. 6*b + 8 Expand -w**5 - 13*w**5 - 16*w**5 + w**5 + 4 - 4 + 2*w**5 + 4 - 4 + (-3*w**3 - 4*w**3 + 6*w**3)*(2*w**2 - w**2 + w**2) + w**5 + 3*w**2 - 3*w**2. -28*w**5 Expand (t + t - t)*(5*t**3 + 32*t - 32*t)*(-3 + 3 + 2). 10*t**4 Expand (-9*x - 2*x + 12*x)*(0 + 0 - 2*x). -2*x**2 Expand (-5*o + 2*o + 2*o)*(1 + 0 + 1) + 0*o - o - 4*o. -7*o Expand (7*u - 7*u + 4*u**2)*(-3*u**2 + 0*u**2 + 10*u**2) + (2*u**4 - 2*u**4 - 2*u**4)*(3 + 2 - 7). 32*u**4 Expand (0 - 1 + 0)*(-13*c**2 + 10*c - 10*c)*(0 + 2 + 0). 26*c**2 Expand 5*i + 5*i - 7*i + (-1 - 3 + 0)*(0 + 0 - 2)*(-5 + 2*i + 5). 19*i Expand (-7*z**3 - 3*z**3 + 16*z**3)*(2*z + 1 - 1 + (3 - 4 - 1)*(4*z - 4*z - 2*z)). 36*z**4 Expand 18*z**3 - 18*z**3 - 2*z**5 + (4 - 3 - 3)*(2*z**3 + z**5 - 2*z**3). -4*z**5 Expand (-o**4 + 0*o**4 + 2*o**4)*(96*o + 7375 - 7375). 96*o**5 Expand (2*c**2 + 4*c**2 - 5*c**2)*(2 + 0 - 1) - 34*c**2 + 53*c**2 - 27*c**2 - c. -7*c**2 - c Expand (-8*f**4 + 2*f**3 - 4*f**3 + 3*f**3)*(-9*f + f + 2*f). 48*f**5 - 6*f**4 Expand -3*m + m + 5*m + (-2*m + 2*m - m)*(1 - 3 + 0) + 1 + 2 - 3*m - 2. 2*m + 1 Expand (3 - 2*y - 3)*(-11 - 5 + 0). 32*y Expand (-h - 2*h + 4*h + 2)*(-3*h**2 + 1 - 1)*(78*h - h**2 - 78*h). 3*h**5 + 6*h**4 Expand (2 + m**3 - 2 - 2*m**2)*(21*m - 225 + 225). 21*m**4 - 42*m**3 Expand (-2 + 1 + 0)*(y + y + 17*y)*(-y**4 + y**4 - y**4). 19*y**5 Expand (2 + u**3 - 2)*(-2*u + 1 - 1)*(u + 3*u - 2*u
{ "pile_set_name": "DM Mathematics" }
**2 + 4*q. Let s(k) = -11*h(k) - 4*o(k). Factor s(z). 5*z**2*(z - 1)*(5*z + 2) Let p(f) = -4*f - 2. Let n be p(-3). Suppose 92*m = 83*m + 36. Determine q so that 0 + 2*q + 12*q**2 + 4 + n*q + m*q**3 = 0. -1 Let d = -5348 + 106987/20. Let b(p) be the second derivative of 0*p**4 + 0 + d*p**5 - 3*p**2 - 7/2*p**3 + p. Solve b(j) = 0 for j. -2/3, -1/3, 1 Let a(s) be the third derivative of -s**6/30 + 14*s**5/5 + 29*s**4/2 + 88*s**3/3 - 291*s**2 + 1. Factor a(z). -4*(z - 44)*(z + 1)**2 Let t(w) = 5*w**2 + 26*w - 19. Let x(r) = 5*r**2 + 25*r - 20. Let s(d) = -5*t(d) + 6*x(d). Factor s(v). 5*(v - 1)*(v + 5) Solve 15/2*h**3 + 41/2*h - 1/4*h**4 - 27/4 - 21*h**2 = 0 for h. 1, 27 Let a(u) be the first derivative of 3/5*u**5 + 2*u**3 + 23 - 9/4*u**4 + 0*u + 0*u**2. Factor a(c). 3*c**2*(c - 2)*(c - 1) Let z(t) be the third derivative of t**9/3780 - t**8/420 + t**7/210 + 13*t**4/12 - 24*t**2. Let m(x) be the second derivative of z(x). Factor m(o). 4*o**2*(o - 3)*(o - 1) Let i(t) be the third derivative of -t**5/240 + 13*t**4/24 - 169*t**3/6 + 26*t**2 + 1. Suppose i(y) = 0. What is y? 26 Let l(d) be the second derivative of -d**7/84 - d**6/12 - d**5/4 - 5*d**4/12 - 5*d**3/12 - d**2/4 - 59*d. Suppose l(t) = 0. Calculate t. -1 Let o(g) be the first derivative of -g**3/5 - 51*g**2/5 + 456*g/5 + 112. Factor o(b). -3*(b - 4)*(b + 38)/5 Let i(v) be the third derivative of v**6/24 - 5*v**5/12 + 5*v**4/12 + 5*v**3/3 - 14*v**2. Let t(y) = -y**2 + y. Let x(h) = -i(h) + 25*t(h). Factor x(n). -5*(n - 1)**2*(n + 2) Let o(v) = v**3 - 5*v**2 - 5*v - 3. Let j be o(6). Suppose j*n = -22*n + 75. Factor -1/6*g - 1/2*g**n - 1/2*g**2 + 0 - 1/6*g**4. -g*(g + 1)**3/6 Let m(f) be the first derivative of 0*f - 8/5*f**5 + 0*f**2 + 0*f**3 - 3/2*f**4 - 27 - 1/3*f**6. Let m(n) = 0. What is n? -3, -1, 0 Let u(z) be the first derivative of 15/2*z**2 - 27 - z**3 + 0*z. Factor u(l). -3*l*(l - 5) Let j(g) = g**3 - 11*g**2 + 10*g + 2. Let c be j(10). Suppose -12 - 3 = -5*o. Factor -u**o + c*u - 191 + u**2 + 191. -u*(u - 2)*(u + 1) Let r(v) be the first derivative of 0*v**3 + 4 + 1/420*v**6 + 3*v**2 + 1/84*v**4 + 0*v - 1/105*v**5. Let t(d) be the second derivative of r(d). Factor t(h). 2*h*(h - 1)**2/7 Let g(o) = o**3 + 7*o**2 + o + 10. Let u be (-2)/(4*(-1)/(-14)). Let d be g(u). Suppose 2*l**2 + 8/3 + 4*l + 1/3*l**d = 0. Calculate l. -2 Let t(h) be the first derivative of -h**6/57 + 34*h**5/95 - 79*h**4/38 + 94*h**3/57 + 80*h**2/19 - 128*h/19 + 76. Let t(i) = 0. What is i? -1, 1, 8 Let y(a) = a + 11. Let s be y(-7). Factor 4*r**4 + 4*r**3 + 2*r**2 + 2 - 8*r**s + 0*r**2 + 5*r - 8*r**3 - r**5. -(r - 1)*(r + 1)**3*(r + 2) Suppose 0 = -x - 11 - 1. Let l be (-48)/(-14) - x/(-4). Solve 15/7*u**3 + 6/7*u**4 - l*u - 3/7 + 9/7*u**2 = 0. -1, 1/2 Determine f, given that -10/3*f**4 + 29/3*f**3 + 1/3*f**5 - 20/3*f**2 + 0 + 0*f = 0. 0, 1, 4, 5 Let p = 4347 + -2086559/480. Let v(c) be the third derivative of -1/12*c**4 + 0 + 1/6*c**3 + 0*c - 4*c**2 - p*c**6 + 1/48*c**5. Factor v(z). -(z - 2)**2*(z - 1)/4 Let d be 20/160*(-112)/(-63). Factor d*r**2 + 2/9*r**3 - 2/9*r**4 + 0 - 2/9*r. -2*r*(r - 1)**2*(r + 1)/9 Factor -2/5*f - 18/5*f**3 - 8/5 + 28/5*f**2. -2*(f - 1)**2*(9*f + 4)/5 Factor 98*y + 20*y**2 + 82*y - 98*y + 126*y + 80. 4*(y + 10)*(5*y + 2) Let h be 3/1 - 6/(-1). Let c(j) = 17*j**4 - 9*j**3 - 7*j**2 + 9*j + 8. Let a(f) = 4*f**4 - 2*f**3 - 2*f**2 + 2*f + 2. Let i(v) = h*a(v) - 2*c(v). Factor i(k). 2*(k - 1)**2*(k + 1)**2 Let h(t) be the first derivative of -t**8/105 - 3*t**7/70 - t**6/45 - t**3 + 5. Let i(v) be the third derivative of h(v). Solve i(m) = 0. -2, -1/4, 0 Let v(z) be the second derivative of 0 - 10*z**2 + 10/3*z**3 - 5/12*z**4 - 16*z. Factor v(d). -5*(d - 2)**2 Let i be (25/10)/((-2)/(-4)). Suppose -8 = -3*y + 2*n + 9, i*y + 5*n + 5 = 0. Factor 3*r**3 + 6*r**2 + 8*r + 2*r**2 + r**y + 4*r**2. 4*r*(r + 1)*(r + 2) Suppose -2*r + 4 = -2. Suppose 0 = -r*u - 0 + 12. Solve m + 19*m**2 - u + 17*m**4 - 34*m**3 - 2*m**4 + 3*m = 0 for m. -2/5, 2/3, 1 Let p be ((-3)/(-9))/((-2)/(-12)). Let a be (-20)/15*(-3)/2. Determine y so that -4 + 6*y**2 - 2*y - 112*y**3 + 114*y**3 - p*y**a = 0. -2, -1, 1 Let w(o) = 11*o**3 - 139*o**2 + 149*o - 27. Let b(n) = n**3 - 3*n**2 - n + 1. Let q(t) = 6*b(t) - 2*w(t). What is s in q(s) = 0? 1/4, 1, 15 Let h(r) be the first derivative of 7/18*r**4 + 0*r**2 + 0*r + 4/27*r**3 - 12 + 2/15*r**5. Factor h(b). 2*b**2*(b + 2)*(3*b + 1)/9 Let z(f) = 60*f**2 + 2099*f - 35. Let k be z(-35). Find r, given that -18/7*r + 2/7*r**2 + k = 0. 0, 9 Let 91/4*i - 43/2 - 5/4*i**2 = 0. Calculate i. 1, 86/5 Let f(l) = -l**3 + l**2 - 80*l - 100. Let v(a) = a**3 - a**2. Let b(o) = f(o) + 6*v(o). Suppose b(g) = 0. Calculate g. -2, 5 Let j(i) be the first derivative of i**8/5880 - i**7/980 + i**5/105 - 4*i**3/3 + 12. Let n(v) be the third derivative of j(v). Suppose n(m) = 0. What is m? -1, 0, 2 Let u(b) be the first derivative of 8*b**4/5 - 16*b**3/15 - 7*b**2/5 - 2*b/5 + 230. Determine x, given that u(x) = 0. -1/4, 1 Let r be -3*(-8)/12*2. Let z(t) = 0 - 5 - 9*t - 5*t**2 - 2*t**2. Let u(j) = -6*j**2 - 8*j - 4. Let o(p) = r*z(p) - 5*u(p). Suppose o(y) = 0. Calculate y. -2, 0 Let v(c) = c**3 - 12*c**2 - 23*c + 132. Let u be v(13). Factor 0 + 4/17*o + 2/17*o**4 + 0*o**3 - 6/17*o**u. 2*o*(o - 1)**2*(o + 2)/17 Let m be 1/7 - (-843)/(-21). Let n be (168/35)/((-18)/m). Factor 2/3*u**5 - 50/3*u**2 + 38/3*u**3 + n*u - 8/3 - 14/3*u**4. 2*(u - 2)**2*(u - 1)**3/3 Let u(h) = 15*h**3 + 45*h**2 - 65*h - 5. Let x(k) = 8*k**3 + 22*k**2 - 33*k - 3. Let i(w) = -3*u(w) + 5*x(w). Find l such that i(l) = 0. -6, 0, 1 Suppose -34*i + 55*i = -47*i. Solve 2/11*s**2 + i*s + 0 = 0. 0 Let 2/21*a**5 + 4/7*a**4 + 8/21*a + 8/7*a**2 + 0 + 26/21*a**3 = 0. What is a? -2, -1, 0 Factor 7*k**2 + 6*k - 5*k**2 + 24*k + 80 - 2*k**2 - 5*k**2. -5*(k - 8)*(k + 2) Let o(g) be the first derivative of -1/3*g**2 + 3 + 1/6*g**4 + 0*g - 2/15*g**5 + 2/9*g**3. Factor o(a). -2*a*(a - 1)**2*(a + 1)/3 Determine g so that 0*g**4 - 925*g + 4*g**3 - 2940*g**2 + 966*g**3 + 5*g**4 - 985 + 3875*g = 0. -197, 1 Let y(d) = -6*d**5 + 25*d**4 + 91*d**3 + 73*d**2 - 13. Let f(t) = t**5 - 4*t**4 - 15*t**3 - 12*t**2 + 2. Let n(l) = 39*f(l) + 6*y(l). Solve n(u) = 0. -2, -1, 0, 5 Suppose -13*a = -0*a + 104. Let r = 58/7 + a. Factor 0 - r*f - 2/7*f**2. -2*f*(f + 1)/7 Let f(m) be the third derivative of 0*m**3 - 1/28*m**4 + 1/420*m**6 + 0*m - 1/105*m**5 + 0 - 19*m**2. Factor f(g). 2*g*(g - 3)*(g + 1)/7 Let t(f) be the first derivative of -3*f**4/5 - 3*f**3/5 + 3*f**2/10 - 26. Factor t(u). -3*u*(u + 1)*(4*u - 1)/5 Factor 4/3*n - 4/3*n**3 - 1/3*n**2 + 1/3*n**4 + 0. n*(n - 4)*(n - 1)*(n + 1)/3 Factor -1/4*j**5 + 4*j**3 + 0 + 0*j - 5*j**2 - 1/4*j**4. -j**2*(j - 2)**2*(j + 5)/4 Let d(x) be the second derivative of -x**8/1680 + x**6/360 + 5*x**3/6 - 8*x. Let t(w) be the second derivative of d(w). Solve t(g) = 0. -1, 0, 1 Let o(j) be the second derivative of 5*j + 1/20*j**5 + 5/12*j**4 + 0*j**2 - 1 + 1/2*j**3 - 1/30*j**6. Factor o(q). -q*(q - 3)*(q + 1)**2 Suppose -3*r + r + 4 = 0. Suppose -h + r + 0 = 0. Let 16 - 16*s - 11*s**2 - 11*s**h - 8*s**3 - 6*s**2 = 0. Calculate s. -2, 1/2 What is x in 891/2*x**2 - 543/2*x + 36 + 24*x**4 + 252*x**3 = 0? -8, -3, 1/4 Let c(a) be the third derivative of -a**8/90720 - a**7/22680 + a**6/1620 - 11*a**5/60 + 4*a**2. Let x(i) be the third derivative of c(i). Factor x(j). -2*(j - 1)*(j + 2)/9 Let j(a) = -26*a**2 - 3512*a - 267. Let l be j(-135). Factor -6/5*t + 1/5*t**l - 3/5*t**2 + 8/5. (t - 4)*(t - 1)*(t + 2)/5 Solve -24*f**3 + 619 + 652 + 670 - 2085 - 4*f**4 + 108*f**2 - 16*f = 0 for f. -9, -1, 2 Let g(j) be the first derivative of 4*j**3/15 + 2*j**2/5 - 38. Factor g(c). 4*c*(c + 1)/5 Let q(k) be the third derivative of k**11/332640 + k**10/18900 + k**9/5040 - k**5/15 - k**3/2 + 40*k**2. Let f(z) be the third derivative of q(z). Factor f(h). h**3*(h + 2)*(h + 6) Let v = 961 - 961. Factor -3/7*y**3 + 0 + 0*y**4 + v*y**2 + 3/7*y**5 + 0*y. 3*y**3*(y - 1)*(y + 1)/7 Let d(g) = -3*g**3 + 12*g**2 - 10*g - 5. Let u(w) = 2*w**3 - 5*w**2 + 6*w + 3. Let s(c) = 3*d(c) + 5*u(c). Solve s(n) = 0 for n. -11, 0 Let y(d) be the first derivative of -d**5/90 + d**4/36 + 2*d**3/3 + 11*d**2/2 + 19. Let s(i) be the second derivative of y(i). Factor s(v). -2
{ "pile_set_name": "DM Mathematics" }
ked without replacement from {g: 4, m: 1, j: 2, s: 1, b: 2, z: 2}. What is prob of picking 1 z, 1 m, and 1 b? 1/55 Calculate prob of picking 1 j and 1 z when two letters picked without replacement from dnjjnndndjnndzd. 1/35 What is prob of picking 1 n and 1 z when two letters picked without replacement from nqzipcn? 2/21 What is prob of picking 1 j and 2 h when three letters picked without replacement from {h: 9, j: 5}? 45/91 Calculate prob of picking 1 u and 1 b when two letters picked without replacement from ubuu. 1/2 What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 1, a: 2}? 2/3 Two letters picked without replacement from {o: 7, d: 2, n: 8, c: 2}. Give prob of picking 2 c. 1/171 What is prob of picking 1 h and 1 s when two letters picked without replacement from vvhhypqshpqqssvs? 1/10 Calculate prob of picking 1 a and 1 t when two letters picked without replacement from taz. 1/3 Two letters picked without replacement from bbbbbbbbbxbbbbbbbbb. Give prob of picking 1 b and 1 x. 2/19 What is prob of picking 1 b and 2 d when three letters picked without replacement from {d: 7, b: 6}? 63/143 What is prob of picking 1 v, 1 r, and 1 x when three letters picked without replacement from qxmvr? 1/10 What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 4, r: 1, c: 2}? 4/21 Calculate prob of picking 2 j when two letters picked without replacement from bjbjbbjbbjbbbbbbbbb. 2/57 Two letters picked without replacement from oooh. Give prob of picking 1 o and 1 h. 1/2 Four letters picked without replacement from {d: 3, l: 5, v: 3, j: 6}. What is prob of picking 3 j and 1 v? 3/119 Two letters picked without replacement from ttyywz. Give prob of picking 1 t and 1 y. 4/15 What is prob of picking 2 u when two letters picked without replacement from llullllllllllllllluu? 3/190 Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {u: 1, s: 5, h: 2, c: 3, e: 3, b: 1}. 3/35 Calculate prob of picking 1 w, 1 y, 1 q, and 1 n when four letters picked without replacement from {q: 3, y: 4, s: 1, e: 2, w: 2, n: 2}. 48/1001 What is prob of picking 1 z, 1 m, and 1 g when three letters picked without replacement from {g: 4, m: 1, f: 1, c: 4, z: 3}? 6/143 What is prob of picking 2 r and 2 v when four letters picked without replacement from {v: 2, u: 10, r: 6}? 1/204 Three letters picked without replacement from vllzlvlllllzlilllulv. Give prob of picking 1 i and 2 l. 13/190 Two letters picked without replacement from ffpfpfppfpfpp. Give prob of picking 1 p and 1 f. 7/13 Three letters picked without replacement from {m: 5, g: 3, f: 3}. What is prob of picking 1 f and 2 m? 2/11 What is prob of picking 2 v when two letters picked without replacement from oyoqvaoovooqovvoo? 3/68 Calculate prob of picking 1 r, 2 a, and 1 u when four letters picked without replacement from {u: 3, z: 7, p: 1, r: 1, a: 2}. 3/1001 Two letters picked without replacement from {x: 3, t: 5, v: 2, k: 1, n: 6}. Give prob of picking 1 n and 1 t. 15/68 Two letters picked without replacement from {a: 1, s: 1, i: 2}. What is prob of picking 1 s and 1 a? 1/6 Two letters picked without replacement from {b: 2, f: 1, g: 1}. What is prob of picking 1 b and 1 f? 1/3 Two letters picked without replacement from kpkpkbkkbkxkbkxkg. What is prob of picking 1 x and 1 b? 3/68 What is prob of picking 1 d and 3 n when four letters picked without replacement from {v: 1, x: 3, d: 1, n: 10, l: 4}? 10/323 What is prob of picking 2 j when two letters picked without replacement from {l: 5, r: 2, j: 12}? 22/57 Two letters picked without replacement from lgjzgjzzzljj. Give prob of picking 1 z and 1 g. 4/33 What is prob of picking 1 d, 1 k, 1 n, and 1 q when four letters picked without replacement from {n: 4, q: 2, k: 7, d: 3, p: 1, x: 1}? 14/255 What is prob of picking 2 q and 1 w when three letters picked without replacement from {q: 5, w: 3}? 15/28 Four letters picked without replacement from {g: 8, s: 5, r: 7}. Give prob of picking 3 g and 1 s. 56/969 Calculate prob of picking 1 e, 1 y, and 1 j when three letters picked without replacement from bjeejjeyfy. 3/20 Calculate prob of picking 2 v and 1 y when three letters picked without replacement from {y: 4, v: 6, e: 1}. 4/11 Calculate prob of picking 1 k, 1 c, and 1 s when three letters picked without replacement from {c: 2, o: 2, k: 1, s: 1}. 1/10 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from qppyysyypry. 3/11 Three letters picked without replacement from {k: 1, u: 9, a: 8, v: 2}. What is prob of picking 2 u and 1 v? 6/95 Calculate prob of picking 1 f, 1 r, and 1 z when three letters picked without replacement from {f: 4, z: 1, p: 2, r: 1, t: 1}. 1/21 Three letters picked without replacement from {o: 7, g: 3, a: 5, n: 1, w: 3}. Give prob of picking 1 a, 1 n, and 1 o. 35/969 Four letters picked without replacement from wwhwwmukwmmwhmww. Give prob of picking 1 w, 2 h, and 1 u. 2/455 What is prob of picking 2 j and 1 b when three letters picked without replacement from jbbwnnwnn? 0 Two letters picked without replacement from pzgrz. What is prob of picking 1 r and 1 p? 1/10 Three letters picked without replacement from {u: 1, y: 1, z: 5, o: 1, x: 3, d: 1}. Give prob of picking 2 x and 1 z. 3/44 Three letters picked without replacement from ngeend. Give prob of picking 1 n and 2 e. 1/10 What is prob of picking 3 a and 1 p when four letters picked without replacement from {a: 8, k: 4, p: 1}? 56/715 Calculate prob of picking 1 m and 3 b when four letters picked without replacement from bmbmbm. 1/5 What is prob of picking 1 x and 3 s when four letters picked without replacement from {x: 3, s: 11}? 45/91 Four letters picked without replacement from {b: 1, f: 2, y: 5, u: 2, c: 1, k: 5}. What is prob of picking 2 y, 1 k, and 1 f? 5/91 Calculate prob of picking 4 z when four letters picked without replacement from {s: 9, z: 7}. 1/52 Three letters picked without replacement from {p: 10, s: 7, u: 1}. Give prob of picking 2 s and 1 p. 35/136 Four letters picked without replacement from jvjcsvsvju. What is prob of picking 1 u, 1 c, and 2 j? 1/70 Two letters picked without replacement from {p: 4, f: 2, r: 4, v: 4}. What is prob of picking 1 v and 1 f? 8/91 Four letters picked without replacement from {g: 1, u: 2, z: 1, i: 11, e: 2, x: 2}. Give prob of picking 1 x, 1 i, 1 e, and 1 g. 11/969 What is prob of picking 2 s, 1 f, and 1 z when four letters picked without replacement from {t: 2, s: 9, f: 1, e: 1, z: 7}? 84/1615 Four letters picked without replacement from {f: 7, a: 6}. What is prob of picking 2 a and 2 f? 63/143 Two letters picked without replacement from {z: 11, n: 2, c: 2}. Give prob of picking 2 c. 1/105 Three letters picked without replacement from {h: 3, b: 1, v: 2, c: 2, i: 2, f: 4}. What is prob of picking 1 f, 1 v, and 1 h? 6/91 Two letters picked without replacement from vvvvvvvlvlvvvjlvv. What is prob of picking 2 l? 3/136 What is prob of picking 3 j and 1 u when four letters picked without replacement from {u: 3, j: 2, b: 5, o: 5, x: 1}? 0 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from iuuuiu. 8/15 Two letters picked without replacement from {r: 1, l: 2, n: 2}. Give prob of picking 1 n and 1 l. 2/5 What is prob of picking 1 p and 2 u when three letters picked without replacement from puuuuuuu? 3/8 What is prob of picking 1 g, 1 j, 1 f, and 1 k when four letters picked without replacement from {f: 1, k: 1, i: 1, g: 1, j: 1}? 1/5 Four letters picked without replacement from {f: 3, y: 13}. What is prob of picking 3 f and 1 y? 1/140 What is prob of picking 1 l, 1 f, and 1 n when three letters picked without replacement from {g: 1, d: 1, f: 2, p: 2, l: 1, n: 1}? 1/28 What is prob of picking 1 c and 2 k when three letters picked without replacement from {k: 2, c: 1, u: 1}? 1/4 Three letters picked without replacement from {v: 17, h: 2}. What is prob of picking 3 v? 40/57 What is prob of picking 2 r and 1 n when three letters picked without replacement from llnrnnnlrlrlnnnn? 3/70 Two letters picked without replacement from jnnjnnojjonn. What is prob of picking 1 j and 1 o? 4/33 Calculate prob o
{ "pile_set_name": "DM Mathematics" }
- 8*b**2 + 12*b - 50. Let p be y(-10). Calculate the highest common divisor of p and 4150. 10 Let k = 34791 - 21037. Calculate the greatest common divisor of k and 26. 26 Let s(k) = -64*k**3 + 9*k**2 + 36*k + 197. Let i be s(-6). What is the highest common factor of i and 71? 71 Let o be (-164)/12*-3 + 3. Let q = -24 + o. Let s = q - 4. Calculate the highest common divisor of 40 and s. 8 Let n be ((-8050016)/65)/(-32) - 1/5. What is the highest common factor of 90 and n? 90 Let s be 75 - 81 - (-99 + -2)*14. What is the greatest common factor of 22 and s? 22 Let r = -62 - -23. Let o = -41 - r. Let k be (20/8)/(o/(-4)). What is the greatest common divisor of 25 and k? 5 Let a(j) be the second derivative of 5*j**4/6 - 5*j**3/6 + 11*j**2/2 + j + 1. Let r be a(-14). Calculate the greatest common factor of r and 13. 13 Let w(z) = 5*z**3 - 20*z**2 + 42*z + 13. Let y be w(6). Calculate the highest common divisor of y and 325. 25 Let j be (-6)/27 - (-114)/27. Suppose 0 = 2*t + 13*h - 18*h - 47, -4*t + 159 = 3*h. Calculate the highest common factor of j and t. 4 Let m = 254 + -254. Suppose m*t - 2670 = -6*t. What is the greatest common factor of 89 and t? 89 Let p(v) = -2*v**3 - 56*v**2 + 400*v + 70. Let f be p(6). Suppose 0*h - 3*b - 243 = -3*h, -227 = -3*h - b. What is the highest common divisor of h and f? 11 Suppose 3*l - 3083 = -1418. Let r = -471 + l. Calculate the greatest common divisor of 24 and r. 12 Let k(b) be the third derivative of -b**5/60 - b**4/3 + 3*b**3 + 13*b**2 - 1. Let y be k(-7). Calculate the greatest common factor of 25 and y. 25 Let p(a) = a**3 - 9*a**2 + 24*a - 16. Let v be p(7). What is the greatest common factor of 444 and v? 6 Let l be 841 + (18 - 10 - (14 - -2)). Calculate the greatest common divisor of 49 and l. 49 Let f(s) be the second derivative of s**4/12 - 2*s**3 - 127*s**2 - 75*s. Let k be f(-12). What is the greatest common divisor of 1054 and k? 34 Suppose -4*n + m + 356 = 0, -129*m = n - 137*m - 27. Suppose 3*c = c + 52. What is the highest common factor of n and c? 13 Let b be (38 + (6 - 6))*474/60*(-165)/(-33). Let n be (-634)/(-8) - 2/8. What is the highest common factor of b and n? 79 Suppose 0 = 5*q + 4*i - 2, 5*q - 3*i + 7 = -4*i. Let f be ((-14)/6)/(q/(-6)). Let p = -3 - f. What is the highest common factor of 4 and p? 4 Let s be (8/10)/(153/14535). What is the greatest common factor of 6308 and s? 76 Let f = -1 - -5. Suppose -4*q = -5*q + 10. Let v = q - -26. What is the highest common divisor of v and f? 4 Let m = -875 + 1078. Calculate the highest common divisor of 29 and m. 29 Let x = -1111 - -1118. Let u be (-1)/5 - (-7668)/15. What is the greatest common divisor of x and u? 7 Let a = 7850 - 7535. What is the greatest common factor of 147 and a? 21 Let d = 1598 - 1585. Let t(z) = -12*z**2 + 13*z**2 + 17*z**2 + 8*z**2. Let b be t(-2). Calculate the greatest common divisor of d and b. 13 Let k(d) = 61*d**2 - 770*d + 23. Let o be k(13). Let y(g) = g**2 + 2*g - 6. Let h be y(6). Calculate the greatest common divisor of h and o. 14 Suppose -4*w - 3*n = -7 - 78, 5*w - 3*n - 86 = 0. Let q(o) = -o**3 + 44*o**2 + 170*o - 87. Let p be q(-4). What is the greatest common factor of p and w? 1 Suppose -3*g = 5*x - 6, 85*g - 9 = 88*g. Let k(p) = -p**2 - 7*p - 3. Let d be k(-5). Suppose d*z - 75 = 2*z. Calculate the highest common factor of z and x. 3 Let g = -19069 + 19194. Calculate the highest common divisor of g and 2650. 25 Let h(l) = 3*l**3 - 12*l**2 + 17*l - 8. Let k be h(11). Suppose 5*u = -11*u + k. Calculate the highest common divisor of u and 34. 34 Let s be -962*(-5)/(180/18). What is the greatest common factor of s and 518? 37 Let r be -1 - -5 - (-163 + -3). Let i = 2418 + -2384. What is the highest common divisor of r and i? 34 Suppose t = -21 + 48. Suppose 2*s - t = 9. What is the greatest common divisor of 2 and s? 2 Suppose -5*t - 106 = -26. Let d = -6 - t. Let n(r) = -r**3 + 12*r**2 - 7*r - 24. Let y be n(11). Calculate the greatest common factor of d and y. 10 Suppose 14*r - 15*r - 68 = -4*i, i = 2*r + 10. Let u be -3*(-4)/i*540/8. Let o = 19 - 10. Calculate the greatest common divisor of o and u. 9 Let i(w) = 125*w**2 - 1. Let z be i(-2). Let t = z - 498. Calculate the highest common factor of t and 67. 1 Suppose 5*t - 357 = -229*q + 226*q, -3*q = -4*t - 330. Calculate the highest common divisor of q and 840. 6 Suppose 2*z - 41656 = -4*d, 3*d = 66*z - 69*z + 31242. Calculate the highest common divisor of d and 508. 254 Suppose 160*f - 107*f = 26182. What is the greatest common divisor of 266 and f? 38 Suppose 2*t - 46 = -4*o, -4*t + 64 + 48 = -2*o. Suppose 0 = -n + 31 + t. Suppose 1 - n = -h. What is the highest common factor of h and 19? 19 Let z be 3*83/(21*3/273). What is the greatest common divisor of 65 and z? 13 Let h = -222 - -227. Let p be (27 + h)*(-6)/(-3). What is the greatest common divisor of 64 and p? 64 Let l = 8006 - 7916. What is the greatest common factor of 99 and l? 9 Let q(a) = -1905*a + 5. Let c be q(-3). Calculate the highest common factor of c and 176. 88 Suppose 6*p + 248 - 290 = 0. Suppose p*r = 2*r + 3*d + 416, 2*r = 4*d + 158. Calculate the highest common factor of r and 68. 17 Suppose -29 = -4*y - 3*r - 10, 4*y - 4*r = 40. Let b = 35 - 28. Let s(k) = -k**2 + 4*k + 42. Let f be s(b). What is the highest common factor of f and y? 7 Let l = -165 - -134. Let f(c) = -7*c - 208. Let w be f(l). Calculate the highest common factor of 12 and w. 3 Let j be (33 - (-7884)/(-180))/((-4)/250). What is the greatest common divisor of 8235 and j? 135 Suppose 0 = q - 4*n - 1467, 4*n - 8408 = -5*q - 1289. What is the highest common divisor of 63 and q? 9 Suppose -4*n = 5*x - 60, -77*n + 72*n - x + 96 = 0. What is the greatest common factor of 460 and n? 20 Let c be (27/(-6))/(2/(-320)*27/36). Calculate the greatest common divisor of c and 180. 60 Let t(y) = -y**3 - 15*y**2 - 34*y + 24. Let i be t(-12). Suppose -3*x + 7*x - 377 = -p, i = 2*x. Calculate the highest common divisor of p and 39. 13 Let x = 4402 - 4397. What is the highest common divisor of 1360 and x? 5 Let x(u) be the first derivative of u**4/4 + 11*u**3/3 - u**2/2 - 5*u + 58. Let o be x(-11). What is the greatest common divisor of o and 24? 6 Suppose 6*n - 13*n - 2520 = -22*n. Calculate the highest common divisor of n and 712. 8 Suppose -7338 = -17*v - 487. What is the highest common divisor of 26 and v? 13 Let g = -21 + 28. Let z be (7 - 63/g)*-36. Calculate the greatest common divisor of z and 40. 8 Suppose 28037 - 14627 = 125*i - 25965. Calculate the highest common factor of i and 441. 63 Suppose 12 = 8*u - 4*u. Suppose -u*y + 2*r = r + 409, -4*y - 2*r - 562 = 0. Let v = y - -240. What is the greatest common factor of 6 and v? 6 Let p be 5/((3 + 3)/276). What is the highest common factor of 20 and p? 10 Suppose 218*r = 42*r + 530464. What is the greatest common divisor of r and 411? 137 Let z be -4 + 2 + 1 + 16. Let s = 8098 + -8043. What is the greatest common factor of s and z? 5 Suppose 2*v = 4*i + 7*v - 123, 3*i - 94 = -2*v. Let o = 20681 + -20521. What is the greatest common divisor of i and o? 32 Let n be ((-1)/3)/((-3)/18). Suppose 78 + 28 = 5*z + u, 0 = -3*z + n*u + 61. What is the highest common divisor of 49 and z? 7 Suppose -43*t + w - 28598 = -46*t, -2*w = 4*t - 38128. Calculate the highest common divisor of t and 42. 42 Let r be (-42)/(-70) + (-417)/(-5). Let y = -84 + r. Suppose -3*m = i - 80, y = i - 5*m - 62 - 18. What is the highest common factor of i and 16? 16 Suppose 6*w - 88 = -4*s + 2*w, -5*s - 2*w = -107. Calculate the highest common divisor of s and 4809. 21 Let n = -33002 + 33395. What is the greatest common divisor of 7729 and n? 131 Let z(t) = -16*t - 29. Let s be z(-3). Suppose 2800 = -s*f + 10096. What is the greatest common factor of 24 and f? 24 Suppose 8*r - 14*r + 1128 = 0. Suppose 4*o = 452 + r. What is the greatest common factor of 10 and o? 10 Suppose 4*t - 4*c = 56, -4*t + 2*c + 55 = 9. Let l be (3 + 3)*12/t. Let m be ((-4)/l - 4)*(-16)/3. Calculate the greatest common divisor of m and 6. 6 Let o(q) = 103*q - 1393. Let c be o(15). What is the greatest common divisor of 22 and c? 2 Let d(k) = -77*k**2 - 5*k + 14. Let n be d(4). Let t = n - -1265. Let o = 3 - -15. Calculate the hi
{ "pile_set_name": "DM Mathematics" }
2 Collect the terms in -26*u**3 + 3*u**3 - 15*u**3. -38*u**3 Collect the terms in -339*n**2 + 161*n**2 + 218*n**2. 40*n**2 Collect the terms in -3*r**3 + 211*r**3 + 31*r**3. 239*r**3 Collect the terms in 118*j**2 + 389*j**2 + 521*j**2 - 159*j**2. 869*j**2 Collect the terms in -881*z**3 + z**3 - 799*z**3. -1679*z**3 Collect the terms in -22*v**3 - 9*v**3 + 46*v**3. 15*v**3 Collect the terms in p - 3*p + 3 + 3*p - 3*p. -2*p + 3 Collect the terms in -18*h**3 + 16*h**3 - 16*h**3 - 13*h**3. -31*h**3 Collect the terms in 119*x**2 - 242*x**2 + 121*x**2. -2*x**2 Collect the terms in -21*l + 33*l - 26*l. -14*l Collect the terms in 2 + 12*z**2 + 3*z**2 - 3. 15*z**2 - 1 Collect the terms in d - 4*d - 5*d - 3*d. -11*d Collect the terms in -6 + 5 + 1 - d. -d Collect the terms in 21*t**2 - 87*t**2 + 19*t**2 + 20*t**2 + 21*t**2. -6*t**2 Collect the terms in 53*h**3 - 16*h**3 - 21*h**3 - 22*h**3. -6*h**3 Collect the terms in -35 + 2*h - 38 + 73. 2*h Collect the terms in -24*j**2 + 22*j**2 - j**2. -3*j**2 Collect the terms in -777*i + 1 + 781*i - 1. 4*i Collect the terms in -70*w + 103*w - 55*w. -22*w Collect the terms in -65 + 239*g**2 - 234*g**2 + 65. 5*g**2 Collect the terms in 16*u - 2*u - 11*u. 3*u Collect the terms in 10*m**2 - 11*m**2 - m**2. -2*m**2 Collect the terms in 44*l + 0*l + 44*l. 88*l Collect the terms in 2*v - 39*v**2 + 0*v - 5*v. -39*v**2 - 3*v Collect the terms in -5*o**3 + 3*o**2 - 3*o**2 - o**3. -6*o**3 Collect the terms in 17*z**2 + 56*z**2 - 56*z**2. 17*z**2 Collect the terms in 0 + 7*p**2 - 4*p**2 + 0 + 2*p. 3*p**2 + 2*p Collect the terms in -70*i**2 + 11*i**2 + 12*i**2 - 52*i**2. -99*i**2 Collect the terms in 2*v - 260 + 260. 2*v Collect the terms in 7*c - 7*c - 63*c**3. -63*c**3 Collect the terms in -10*u**3 + 6*u**2 - 3*u**2 - 3*u**2. -10*u**3 Collect the terms in -2 + 4 - 2 + 193*v**2 - 185*v**2. 8*v**2 Collect the terms in -16*w + 32*w + 6*w**3 - 16*w. 6*w**3 Collect the terms in 63*m**3 + 61*m**3 - 114*m**3. 10*m**3 Collect the terms in -17*p**2 - 2 + p**3 + 2 + 21*p**2. p**3 + 4*p**2 Collect the terms in -31332 + 31332 - 4*r. -4*r Collect the terms in -77*i**2 + 2*i - 2*i. -77*i**2 Collect the terms in 19*l**3 - 11*l**3 + 6*l**3. 14*l**3 Collect the terms in 1 - 13*o**2 + 13*o**2 - 1 - 2*o**3. -2*o**3 Collect the terms in -137*c**2 + 220*c**2 - 72*c**2. 11*c**2 Collect the terms in 6*n**3 - 8*n**3 + 2*n**3 + 6*n**3. 6*n**3 Collect the terms in 18*h - 4 + 36*h + 2*h + 5. 56*h + 1 Collect the terms in -11*b**3 - 17*b**3 + 41*b**3 - 11*b**3. 2*b**3 Collect the terms in -5*g + 14*g + 3*g - 8*g. 4*g Collect the terms in 295*y**2 - 295*y**2 - 95*y**3 + 77*y**3. -18*y**3 Collect the terms in 3 + 1 - 3 - 19*j**2. -19*j**2 + 1 Collect the terms in -17*f**2 - f**2 + 9*f**2. -9*f**2 Collect the terms in 13873*d**2 - 13873*d**2 + 3*d**3. 3*d**3 Collect the terms in -97 - 32*d + 97. -32*d Collect the terms in -257*g**2 - 187*g**2 - 229*g**2 + 49*g**2. -624*g**2 Collect the terms in 0 - 9 + 4 - 11*g**2 + 7. -11*g**2 + 2 Collect the terms in 73*j**2 + 43*j**2 - 17*j**2. 99*j**2 Collect the terms in -118*p**2 + 125 - 125. -118*p**2 Collect the terms in 0*j + 4*j - 11*j + 6*j + 5*j. 4*j Collect the terms in 25*k - 29 + 19 + 10. 25*k Collect the terms in 2521*u - 5054*u + 2527*u. -6*u Collect the terms in 154 + 2*s**3 - 354 + 200. 2*s**3 Collect the terms in -38*t**3 - 4*t**3 + 8*t**3 + 19*t**3. -15*t**3 Collect the terms in 2*s**2 - 3 + 8*s + 3 + 22*s - 3*s**2. -s**2 + 30*s Collect the terms in 10*b - 5*b - b + 17*b. 21*b Collect the terms in -28*n**3 + 3*n**3 + 10*n**3 + 6*n**3. -9*n**3 Collect the terms in 24*j - 26*j + 21*j. 19*j Collect the terms in -d + 15*d + 2*d. 16*d Collect the terms in 11*v - 10*v - v + 3*v**2. 3*v**2 Collect the terms in -54 + 81 + 98 - 2*i + 1. -2*i + 126 Collect the terms in m + 31*m**2 - m + 0*m. 31*m**2 Collect the terms in 85*n**3 + 88*n**3 + 85*n**3 - 264*n**3. -6*n**3 Collect the terms in 65*k + 75*k + 68*k - 209*k. -k Collect the terms in 374 + 371 - 3*q + 375 - 1120. -3*q Collect the terms in 37*s**3 + 7 - 11 + 5. 37*s**3 + 1 Collect the terms in -154*b + 71*b + 80*b. -3*b Collect the terms in 63*f**3 + 161*f**3 - 13*f**3 + 33*f**3. 244*f**3 Collect the terms in 2*m + m**2 - 15*m + 13*m. m**2 Collect the terms in 2*f - 6*f + 3*f - 4*f + 0*f. -5*f Collect the terms in -k**2 - 109*k + 61*k + 48*k. -k**2 Collect the terms in -109 + 10*n + 109 + n. 11*n Collect the terms in 43*f**2 + 10*f**2 + 0*f**2 - 36*f**2. 17*f**2 Collect the terms in 62*j - 39*j - 35*j. -12*j Collect the terms in -12*u + 24*u - 20*u. -8*u Collect the terms in 6*u**2 + 48 - 5*u**2 - u + u. u**2 + 48 Collect the terms in -39*d + 1 - 1. -39*d Collect the terms in 264*n - 538*n + 272*n. -2*n Collect the terms in -209*i**2 - 295*i**2 - 110*i**2. -614*i**2 Collect the terms in 2*m - 5*m**2 + m + 14*m. -5*m**2 + 17*m Collect the terms in -8*z + z**2 - 19 + 19. z**2 - 8*z Collect the terms in -135*y + 135*y - 15*y**3. -15*y**3 Collect the terms in -3*t**2 + 3*t**2 - 8667*t**3 + 8657*t**3. -10*t**3 Collect the terms in 17*o**3 - 2*o**3 - 2*o**3 + 27*o**3. 40*o**3 Collect the terms in 0*w**2 + 0*w**2 + w + 13*w**3 + 0*w**3. 13*w**3 + w Collect the terms in 5*u**2 + u - u. 5*u**2 Collect the terms in -9*k + 70*k + 5*k - 4*k**2 + 5*k**2. k**2 + 66*k Collect the terms in -1 + 1 + 14*b**2 - 8*b**3. -8*b**3 + 14*b**2 Collect the terms in 47*l**2 + 2 - 48*l**2 - 99*l**2. -100*l**2 + 2 Collect the terms in 14 + 16*q - 14. 16*q Collect the terms in -5*v**2 - 118 + 118. -5*v**2 Collect the terms in -2*c - 217*c**3 + 4*c - 2*c + 219*c**3. 2*c**3 Collect the terms in -36*n**2 - 6*n**2 - 28*n**2. -70*n**2 Collect the terms in 5*m**3 + 4*m**3 + 3*m**3 + 0*m**3. 12*m**3 Collect the terms in -9896*x + 9896*x + 5*x**2. 5*x**2 Collect the terms in 7*j - 7*j + j**3 - 43*j**3. -42*j**3 Collect the terms in -60*p**2 - 68*p**2 + 128*p**2 - 2*p**3. -2*p**3 Collect the terms in -29*w + 2*w - 2 - 5*w - w. -33*w - 2 Collect the terms in -644*u**2 - 648*u**2 + 1298*u**2 + 1 - 1. 6*u**2 Collect the terms in -12198 + f**2 + 12198. f**2 Collect the terms in 8*g**3 - 2*g**3 - 2*g**3 + 2. 4*g**3 + 2 Collect the terms in -5*i**2 + 25*i**2 - 7*i**2 - 12*i**2. i**2 Collect the terms in 2*v + 2*v + 4*v. 8*v Collect the terms in -10*p**3 + 188 - 188. -10*p**3 Collect the terms in 13*c + 30*c - 2*c. 41*c Collect the terms in 8 + 0*m - 3*m + 6*m - 8. 3*m Collect the terms in 25*s + 6*s + 14*s - 25*s. 20*s Collect the terms in -41*g**2 + 60*g**2 - 29*g**2. -10*g**2 Collect the terms in 15*b**2 + 29*b**2 - 16*b**2 + 18*b**2. 46*b**2 Collect the terms in -4 + 37*j**3 - 15*j**3 - 13*j**3 + 4. 9*j**3 Collect the terms in 539*m**2 - 264*m**2 - 273*m**2. 2*m**2 Collect the terms in -8 - 2*j**2 + 5 + 9*j**2. 7*j**2 - 3 Collect the terms in 247*z + 245*z - 6*z**2 + 255*z - 747*z. -6*z**2 Collect the terms in 3 - 4313*y**3 + 0 - 3 + 4321*y**3. 8*y**3 Collect the terms in 7*g + 0*g**3 - 15*g**3 + 0*g**3 + 5*g. -15*g**3 + 12*g Collect the terms in 3*d**3 - 15*d**3 - 13*d**3. -25*d**3 Collect the terms in 13 + g + 0*g + 6*g - 13. 7*g Collect the terms in -1 - 2 - 1 - 10*u**2. -10*u**2 - 4 Collect the terms in 27*g**3 - g**3 - 16*g**3. 10*g**3 Collect the terms in 0 + 41876*u + 0 - 41874*u. 2*u Collect the terms in 3 - 7*y - 17*y + 6 - 11. -24*y - 2 Collect the terms in -161*y**3 + 85*y**3 + 63*y**3. -13*y**3 Collect the terms in 0*i - 28*i**3 - i + i. -28*i**3 Collect the terms in u + 9072 - 9072. u Collect the terms in 3*c**2 + 1593952 - 1593952. 3*c**2 Collect the terms in -3*r**2 + 0*r + 0*r + 0*r - 7*r. -3*r**2 - 7*r Collect the terms in -286 + 85 + 4*v - 2*v - 4*v. -2*v - 201 Collect the terms in 555*q**2 + 1 - 1 - 162*q**2. 393*q**2 Collect the terms in 32*o**2 - 78*o**2 + 23*o**2 + 3*o**3 + 23*o**2. 3*o**3 Collect the terms in -4 + 4 + 149*z**3 + 11*z**3. 160*z**3 Collect the terms in -h + h - 5*h**3 + 3041*h**2 - 3041*h**2. -5*h**3 Collect the terms in -305*s + 71*s + 75*s + 75*s + 78*s. -6*s Collect the terms in -1 - 1 - 36*s**2 - 31*s**2 + 17*s**2. -50*s**2 - 2 Collect the terms in -93*g - 3 + 1 + 2. -93*g Collect the terms in -2*k**3 - 88*k**3 + 171*k**3. 81*k**3 Collect the terms in -2*w**2 - w - 4*w + 5*w. -2*w**2 Collect the terms in -3*x**2 - 6*x**2 + 12*x**2 + 18*x**2. 21*x**2 Co
{ "pile_set_name": "DM Mathematics" }
*b**2 Let n(p) be the second derivative of -29*p**8/56 - 4*p**4/3 - 14*p. What is the third derivative of n(x) wrt x? -3480*x**3 Let k(s) = s**3 + 12*s**2 + 12*s + 13. Let f be k(-11). What is the third derivative of -6*b**2 - b**2 + 2*b**2 - 6*b**6 - f*b**2 wrt b? -720*b**3 Suppose 3 = -3*l + 4*l - 3*u, 15 = 5*l + 4*u. What is the third derivative of 4*s**l - 2*s**3 - 7*s**2 + 14*s**2 wrt s? 12 Find the first derivative of 31 + 21 - 26*q**3 - 25 wrt q. -78*q**2 Differentiate -10 + 0 - 3*f**2 - 3*f**2 - 3 with respect to f. -12*f Let r(c) be the second derivative of -3*c**5/10 + 19*c**2/2 + 13*c. What is the first derivative of r(d) wrt d? -18*d**2 Let w(l) = -2*l**4 - 3*l**3 + 3*l - 3. Let v(q) = q**3 - q. Let p(j) = 3*v(j) + w(j). What is the first derivative of p(m) wrt m? -8*m**3 Let d(t) be the third derivative of 1/12*t**4 + 0*t + 0 + t**3 + 2*t**2. Find the first derivative of d(y) wrt y. 2 Let b(o) = 3*o - 6. Let f be b(4). What is the third derivative of 3*v**2 + 0*v**6 + 0*v**2 + 3*v**6 - v**f wrt v? 240*v**3 Let s(n) be the third derivative of -n**4/8 - n**3/6 + 5*n**2. Find the first derivative of s(c) wrt c. -3 Let d(z) be the first derivative of 5*z**8/336 + z**4/12 - z**2 - 6. Let h(y) be the second derivative of d(y). Find the second derivative of h(l) wrt l. 100*l**3 Let m(b) = -b**2 + 2*b + b**2 - 2 + 2*b**2. Let s be m(-2). What is the third derivative of -4*z**4 - 3*z**2 + 3*z**s + z**2 + z**4 wrt z? -72*z Let j(y) = -61*y + 6. Let z(g) = 124*g - 12. Let t(u) = 7*j(u) + 4*z(u). Differentiate t(i) with respect to i. 69 Let q(c) be the third derivative of 0*c**7 + 0 + 1/84*c**8 + 0*c**5 + 0*c + 0*c**6 - 1/6*c**4 + 0*c**3 + c**2. Find the second derivative of q(g) wrt g. 80*g**3 Let m(t) be the second derivative of t**9/7560 + t**6/180 + t**4/6 + 3*t. Let n(k) be the third derivative of m(k). Find the second derivative of n(y) wrt y. 24*y**2 Let b = 16 - 11. Find the second derivative of -5*c + 3*c - 3*c**2 + b*c wrt c. -6 Let y(g) = 2*g**3 - 4*g**2 + 11. Let w(b) = 5*b**3 - 7*b**2 + 21. Let v(s) = -4*w(s) + 7*y(s). What is the derivative of v(f) wrt f? -18*f**2 Suppose 0*v - 12 = -4*v. Let g(p) be the third derivative of 1/30*p**5 + 0*p + 0 - 3*p**2 - 1/12*p**4 + 0*p**v. What is the second derivative of g(o) wrt o? 4 Let a(m) be the third derivative of -m**8/56 - m**4/24 - m**2. What is the second derivative of a(o) wrt o? -120*o**3 Let r(i) be the third derivative of -2*i**7/105 - i**3/2 + 3*i**2. What is the derivative of r(s) wrt s? -16*s**3 Let c(o) be the first derivative of 3/4*o**4 - 5 + 0*o**3 + 0*o**2 + 3*o. What is the derivative of c(j) wrt j? 9*j**2 Let h(m) be the first derivative of 0*m**4 + 2*m + 0*m**2 - 2 - 3/5*m**5 + 0*m**3. Differentiate h(t) with respect to t. -12*t**3 Let s(t) be the third derivative of 0*t**5 + 0*t - 4*t**2 + 1/24*t**4 + 0*t**3 + 0 - 1/60*t**6. What is the second derivative of s(f) wrt f? -12*f Let t(r) be the first derivative of r**4/4 + 4*r**3/3 - 3*r**2 - 3*r + 1. Let u be t(-5). What is the first derivative of -1 + 5 + 5*z - 2*z - u*z wrt z? 1 Let n(r) = r**4 + 2*r**3 + 2*r**2 + 19*r. Let f(d) = -3*d**4 - 5*d**3 - 5*d**2 - 39*d. Let q(l) = 2*f(l) + 5*n(l). What is the second derivative of q(o) wrt o? -12*o**2 Let d(n) be the third derivative of 5*n**8/336 - n**4/24 - 9*n**2. Find the second derivative of d(w) wrt w. 100*w**3 Let m(f) be the first derivative of 2*f**3/3 - f**2/2 - 4. What is the second derivative of m(q) wrt q? 4 Find the second derivative of 7*u + 8*u**2 + 0*u**2 - u**2 + 3*u wrt u. 14 Suppose 3 = 4*h - 13. What is the second derivative of 0*i**4 - 4*i**4 + 2*i**h + 4*i wrt i? -24*i**2 Suppose -3*j + 30 = 5*i - 2*i, -5 = 3*i - 4*j. What is the second derivative of -h**4 - 3*h + i*h**4 - 3*h**4 wrt h? 12*h**2 Let r(q) be the third derivative of q**8/336 - q**6/360 - 2*q**3/3 + q**2. Let d(i) be the first derivative of r(i). What is the third derivative of d(w) wrt w? 120*w Let f = -1 + 2. Let l be (-1)/f*2 + 6. What is the third derivative of -5*w**4 + 3*w**l + 2*w**2 + 4*w**4 wrt w? 48*w Suppose -5 = -4*k + 15. Find the second derivative of i + 2*i - 2*i**k - i - 2*i**5 wrt i. -80*i**3 Let b = -4 - -9. Suppose -5*i + 5 = -b. What is the second derivative of -i*r - r**5 + 3*r - 2*r wrt r? -20*r**3 Let x(t) be the first derivative of 0*t + 5/4*t**4 + t**2 + 0*t**3 + 3. Find the second derivative of x(y) wrt y. 30*y Let d(f) be the second derivative of 3*f + 1/2*f**2 - 1/6*f**3 + 0. Differentiate d(t) wrt t. -1 Let b(r) be the second derivative of 19*r**5/20 - r**2 - 8*r. Find the first derivative of b(a) wrt a. 57*a**2 Let w(x) be the second derivative of x**7/42 - 11*x**4/12 - 5*x. What is the third derivative of w(z) wrt z? 60*z**2 Let z(o) = 17*o**2 - 4*o + 3. Let n(d) = 34*d**2 - 9*d + 7. Let f(w) = -4*n(w) + 9*z(w). Differentiate f(u) with respect to u. 34*u Let d(h) be the first derivative of h**6 - 7*h**3/3 - 1. What is the third derivative of d(n) wrt n? 360*n**2 Let n(f) = 16*f - 38. Let x(m) = 8*m - 19. Let p(z) = -2*n(z) + 5*x(z). What is the derivative of p(a) wrt a? 8 Suppose -2 = -2*q + 6. What is the second derivative of -4*d**4 - d + 2*d**q + d - d wrt d? -24*d**2 Let c(v) = -15*v**3 - 7*v**2. Let w(m) = -29*m**3 - 14*m**2. Let u(p) = 11*c(p) - 6*w(p). Find the third derivative of u(g) wrt g. 54 Let z(p) = p + 8. Let i be z(-6). Let t = 1 + i. Find the third derivative of -3*h**3 + 3*h**2 - t*h**3 + 4*h**3 wrt h. -12 Let o(s) = -31*s**2 + 27*s + 4. Let i(j) = -j + 1. Let g(f) = 4*i(f) - o(f). What is the second derivative of g(q) wrt q? 62 Let i be (-49)/(-4) + (-3)/12. Suppose -c - i = -4*c. What is the second derivative of -j**5 - 2*j + c*j**5 - 5*j**5 + 4*j**5 wrt j? 40*j**3 Let b(l) be the third derivative of l**7/42 + 7*l**4/12 - 25*l**2. Find the second derivative of b(u) wrt u. 60*u**2 What is the first derivative of -8*p**3 + 113*p + 7 - 113*p wrt p? -24*p**2 Let t(g) = -9*g - g**2 + 0 - 5 + g. Let f be t(-7). What is the first derivative of -i**4 + f*i**4 + 2 + i**4 wrt i? 8*i**3 Let y = -1 + 3. Find the third derivative of -2*m - 4*m**2 + y*m - 14*m**3 + 8*m**3 wrt m. -36 Let y(l) be the third derivative of l**8/168 + l**5/15 + 8*l**2. Find the third derivative of y(j) wrt j. 120*j**2 Let g(j) be the third derivative of -11*j**7/70 - 13*j**4/12 + 8*j**2. Find the second derivative of g(r) wrt r. -396*r**2 Let w(z) be the second derivative of z**5/30 + z**3/2 + 3*z**2/2 + z. Let j(y) be the first derivative of w(y). Find the first derivative of j(m) wrt m. 4*m Let n be 21/14*2/30. Let h(d) be the second derivative of 0*d**2 + n*d**5 + 0*d**4 + 0 + 1/3*d**3 + 2*d. Find the second derivative of h(v) wrt v. 12*v Find the third derivative of 4*f**2 - 2*f + f**5 + 2*f wrt f. 60*f**2 Let y(l) = 21*l**4 + 6*l**3 - 6*l + 27. Let c(j) = -21*j**4 - 7*j**3 + 7*j - 28. Let t(s) = -6*c(s) - 7*y(s). Find the first derivative of t(w) wrt w. -84*w**3 Let j(n) be the third derivative of -3*n**9/56 - 37*n**5/30 - 6*n**2. What is the third derivative of j(t) wrt t? -3240*t**3 Let o(j) = 5*j**3 - j**2. Let m be o(1). What is the second derivative of m*z + 2*z**2 - z**2 - 5*z + 3*z wrt z? 2 What is the second derivative of 5 - 8 + 3*a + 3 - 5*a**4 wrt a? -60*a**2 Let z(n) be the second derivative of n**5 - 7*n**2 + 18*n. What is the first derivative of z(p) wrt p? 60*p**2 Find the second derivative of -4*q + 21*q + 13*q**4 - 3*q - 45*q**4 wrt q. -384*q**2 Let o(b) = b**2 + b - 1. Let j(p) = 3*p**2 + 5*p - 2. Let r(c) = 2*j(c) - 10*o(c). Differentiate r(f) wrt f. -8*f Let p(h) be the first derivative of h**7/120 + h**5/20 + 7*h**3/3 + 3. Let d(s) be the third derivative of p(s). What is the second derivative of d(a) wrt a? 42*a Let o(k) = -16*k**3 + 15. Let f(i) = -16*i**3 + 15. Let a(y) = 6*f(y) - 7*o(y). Find the first derivative of a(b) wrt b. 48*b**2 Let h(f) be the first derivative of f**7/105 - f**5/30 - 3*f**2 + 5. Let i(s) be the second derivative of h(s). What is the third derivative of i(o) wrt o? 48*o Let t(r) be the third derivative of -r**8/84 - r**6/30 + r**5/30 + 5*r**4/24 - 15*r**2. Find the third derivative of t(o) wrt o. -240*o**2 - 24 Let x(s) be the first derivative of -2*s**3 + 0*s**2 + 0*s + 0*s**4 - 9/5*s**5 - 2. Find the third derivative
{ "pile_set_name": "DM Mathematics" }
- 9. Let u(x) = x**2 + 2*x + 4. Let q be u(m). Let 2/5*g**q - 4/5 + 6/5*g + 2/5*g**2 - 6/5*g**3 = 0. What is g? -1, 1, 2 Let r be 27/(9/3) + -3. Suppose r*g = 9*g. Let -4/3*a + g + 6*a**2 = 0. Calculate a. 0, 2/9 Let m be (-1050)/45 + 23 + (-16)/(-30). Suppose 6/5 - 1/5*h - m*h**2 = 0. What is h? -3, 2 Factor 11 - 70 + 18*k + 2*k**2 + 18 + 21. 2*(k - 1)*(k + 10) Suppose f**2 + 3*f**2 + 35*f + 60 - 3*f**2 + 3*f**2 + f**2 = 0. Calculate f. -4, -3 Let r(o) = -14*o**3 - 168*o**2 - 334*o - 66. Let w(j) = -41*j**3 - 503*j**2 - 1001*j - 199. Let y(v) = -17*r(v) + 6*w(v). Find a such that y(a) = 0. -18, -2, -1/4 Let d(n) be the first derivative of -32/11*n + 32 - 2/33*n**3 + 8/11*n**2. Let d(j) = 0. What is j? 4 Let k(i) be the first derivative of -4*i**4/3 - 4*i**3/3 - i**2/2 - 13*i - 16. Let c(v) be the first derivative of k(v). Suppose c(u) = 0. What is u? -1/4 Let n(b) = -27*b**2 + 58*b - 34. Let l(r) = 10*r**2 - 20*r + 11. Let z(u) = -21*l(u) - 6*n(u). Factor z(q). -3*(4*q - 3)**2 Factor -2/11*c**5 + 0 - 6/11*c**4 + 8/11*c**3 + 0*c**2 + 0*c. -2*c**3*(c - 1)*(c + 4)/11 Let q(s) be the second derivative of 8*s**7/21 + 6*s**6/5 - 2*s**5/5 - 3*s**4 - 4*s**3/3 - 17*s + 3. Let q(j) = 0. Calculate j. -2, -1, -1/4, 0, 1 Let u be (35 - 31)*2/60. Let f(n) be the first derivative of -1/10*n**4 + 2/75*n**5 + 0*n - 1/15*n**2 + 1 + u*n**3. Factor f(y). 2*y*(y - 1)**3/15 Let s = -119/4 + 30. Let r be 1*(45/(-36))/(-5). Factor -1/4*z**3 + 1/4 - r*z**2 + s*z. -(z - 1)*(z + 1)**2/4 Find i such that 2*i**2 - i + i**3 - 3/2 - 1/2*i**4 = 0. -1, 1, 3 What is p in 56*p + 392/9 + 18*p**2 = 0? -14/9 Let m(t) be the second derivative of -1/5*t**5 - 4*t**2 + 16*t + 0 + 0*t**4 + 2*t**3. Factor m(u). -4*(u - 1)**2*(u + 2) Solve 39/4*c**2 - 2*c**3 - 17/4*c - 4*c**4 + 1/2 = 0. -2, 1/4, 1 Determine o, given that 312/5*o**2 - 324/5*o**3 - 3/5*o**5 + 18*o**4 + 0 + 0*o = 0. 0, 2, 26 Let b = 32 - 16. Find z, given that -83*z - 4*z**2 - 104*z - b + 207*z = 0. 1, 4 Let k(b) be the third derivative of -b**7/70 - b**6/20 - b**5/20 - 40*b**2. Find o, given that k(o) = 0. -1, 0 Let d(a) be the second derivative of -a**3 - 2*a**2 - 1/6*a**4 + 0 - 5*a. Find u, given that d(u) = 0. -2, -1 Suppose 0 = 4*l + 5*l - 90. Let p be (45/(-108))/(l/(-4)). Factor 1/3*f**2 + p*f + 0. f*(2*f + 1)/6 Let c be (-6)/4 + (-4)/(48/(-6)). Let u be ((-1)/2*c)/((-20)/(-8)). Let 0 - 3/5*p**2 + 4/5*p**3 - u*p = 0. Calculate p. -1/4, 0, 1 Let u(z) = -7*z**4 + 53*z**3 + 97*z**2 + 25*z - 6. Let i(y) = 64*y**4 - 478*y**3 - 872*y**2 - 226*y + 52. Let n(q) = 6*i(q) + 52*u(q). Factor n(f). 4*f*(f - 7)*(f + 1)*(5*f + 2) Let u be 1 + -1 + (6 - 3). Suppose u*x - 4 = 5. Solve 7*t**2 - x*t**4 - t**3 - 8*t**2 - t**5 - 2*t**3 = 0. -1, 0 Let n(u) be the second derivative of -u**4/60 + 8*u**3/15 + 17*u**2/10 + 41*u. Factor n(v). -(v - 17)*(v + 1)/5 Let p(o) = o**4 + o**2 - 1. Let v(i) = 6*i**4 - i**3 + 5*i**2 - 5. Let s(m) = -10*p(m) + 2*v(m). Let s(y) = 0. Calculate y. 0, 1 Let f be (2/4)/((-2)/(-8)). Factor -7*x - 8*x**2 - 6 + 10*x**f - x - 4*x**2. -2*(x + 1)*(x + 3) Find y, given that -130321/2*y**2 - 2 - 722*y = 0. -2/361 Let l(j) = 9*j - 1. Let k be l(3). Factor -4*b**2 - 4*b**3 + 5*b - 27 - k + 57 - b. -4*(b - 1)*(b + 1)**2 Factor -3*l**3 + 300*l**2 + 8*l**3 + 3835*l + 2165*l + 40000. 5*(l + 20)**3 Let l(p) be the first derivative of 2/9*p**3 - 2/15*p - 5 - 1/15*p**2 - 1/10*p**4. Factor l(d). -2*(d - 1)**2*(3*d + 1)/15 Let o(q) be the first derivative of -1/14*q**2 + 0*q + 2/21*q**3 - 1/28*q**4 + 27. Factor o(h). -h*(h - 1)**2/7 Suppose -4*t + t = -6. Suppose -t*p = -0 - 2. Solve -22*s**2 + 24*s**2 - p - s**5 - s + 2*s**3 - s**4 + 0 = 0 for s. -1, 1 Let z(o) be the first derivative of o**8/1680 + o**7/280 + o**6/360 - o**5/40 - o**4/12 - 5*o**3 + 4. Let b(j) be the third derivative of z(j). Factor b(i). (i - 1)*(i + 1)**2*(i + 2) Let l(j) = 5*j**2 - j + 5. Suppose 5 = 5*b - 10. Suppose -b*u - 6 = 3. Let v(t) = 4*t**2 - 2*t + 4. Let s(k) = u*v(k) + 2*l(k). Factor s(p). -2*(p - 1)**2 Let s(o) be the first derivative of o**4/11 - 14*o**3/33 + 3*o**2/11 - 126. Factor s(a). 2*a*(a - 3)*(2*a - 1)/11 Let r(g) be the first derivative of 3*g**4/20 - 4*g**3/5 + 3*g**2/2 - 6*g/5 + 146. Factor r(f). 3*(f - 2)*(f - 1)**2/5 Find k such that -11/3*k**2 - 4/3*k + 1/3*k**3 + 44/3 = 0. -2, 2, 11 Let a(m) be the third derivative of m**7/1365 - 31*m**6/390 + 32*m**5/13 + 31*m**4/78 - 961*m**3/39 + 21*m**2 + 6*m. Determine t so that a(t) = 0. -1, 1, 31 Let l = -1264/7 - -181. Let f = -96 + 101. Find k such that -6/7*k**4 + 24/7*k**2 - 6/7*k**3 + 6/7 - 3*k + l*k**f = 0. -2, 1 Let z(m) = 7*m**4 + 20*m**3 + 9*m**2 - 36*m. Let k(h) = -h**4 + h**2. Let w(v) = 3*k(v) + z(v). Let w(l) = 0. What is l? -3, 0, 1 Let o(m) = -2*m**2 + 20*m + 12. Let w be o(11). Let z be (4/w)/((-49)/70). Let -2/7*f - z*f**2 - 2/7*f**3 + 0 = 0. Calculate f. -1, 0 Let s be ((-10)/20)/(((-9)/(-15))/((-16)/40)). Let -1/3*c**2 + 0 - 2/3*c - 1/3*c**5 + s*c**4 + c**3 = 0. Calculate c. -1, 0, 1, 2 Let w be 0 - ((-198)/54 - (-2 - 1)). Suppose -4/3 + w*z**3 - 10/3*z - 2*z**2 + 2/3*z**4 = 0. What is z? -1, 2 Suppose 3*l - 262 = -2*f, 0*f + 2*f + 326 = 4*l. Let b be l/(-22) - (-5 + -5 + 6). Factor b*v**3 + 0 - 2/11*v + 0*v**2. 2*v*(v - 1)*(v + 1)/11 Factor 8 - 9*k**4 + 4*k**4 - 4*k**3 - 12*k**2 - 320*k + 324*k + 9*k**4. 4*(k - 2)*(k - 1)*(k + 1)**2 Determine w so that 176*w**2 - 34*w - 144*w**5 - 244*w**3 + 298*w + 24 - 528*w**4 + w - 125*w = 0. -3, -1/2, -1/3, 2/3 Let a be 3*(0 + -1) - -7. Determine h so that -10*h**2 - 6*h**4 + 7*h**4 - 8*h - 2*h**2 + 3*h**a = 0. -1, 0, 2 Determine w so that -741*w**2 + 4*w + 5 + 369*w**2 + 371*w**2 = 0. -1, 5 Let h(f) be the third derivative of f**5/30 - f**4/36 - 2*f**3/9 + 277*f**2. Factor h(a). 2*(a - 1)*(3*a + 2)/3 Let c = -112 + 116. Let h(j) be the second derivative of 1/12*j**3 + c*j + 1/48*j**4 + 0 + 1/8*j**2. Find g such that h(g) = 0. -1 Suppose -2*v = -4 - 0. Factor -3*g**2 + 16*g - 20*g**3 + 28*g**3 + 4 + 23*g**v. 4*(g + 1)**2*(2*g + 1) Determine f so that 178*f + 0 + 32*f - 3*f**2 - 229 + 22 = 0. 1, 69 Let c be 72/40*(8/18)/1. Solve -c - 2/3*v - 2/15*v**2 = 0. -3, -2 Let r(y) = 3*y**2 - 8*y + 10. Let p(b) = -b + 2. Let j(l) = -28*p(l) + 4*r(l). Let j(f) = 0. Calculate f. -1, 4/3 Determine x so that 825*x**2 + 26313 + 5*x**3 + 577125 - 338381 + 566818 + 45375*x = 0. -55 Let p(q) = -5*q - 50. Let y be p(-11). Let t(n) be the third derivative of -1/4*n**3 + 0*n + 0*n**4 + 0 - n**2 + 1/40*n**y. Factor t(u). 3*(u - 1)*(u + 1)/2 Let d = -103 - -112. Let h be d - 11 - (-5)/2. Determine l, given that 0 - h*l**2 + 0*l = 0. 0 Let n(i) = 25*i - 372. Let p be n(15). Let 2/5*s**2 + 6/5*s**4 + 0*s + 6/5*s**p + 0 + 2/5*s**5 = 0. Calculate s. -1, 0 Factor 12/7*a**3 - 6 - 76/7*a + 2/7*a**4 - 24/7*a**2. 2*(a - 3)*(a + 1)**2*(a + 7)/7 Let y(b) = -2*b - 1. Let k(v) = -4*v**2 + 76*v - 86. Let t(d) = -k(d) - 10*y(d). Factor t(s). 4*(s - 12)*(s - 2) Let o(r) be the first derivative of -r**6/70 - 3*r**5/70 + r**4/28 + r**3/7 + 10*r - 17. Let b(t) be the first derivative of o(t). Find x, given that b(x) = 0. -2, -1, 0, 1 Let y be 7/((-7)/6)*2/(-3). Suppose 15*g**2 - 21*g + 0*g + g + g**3 + y*g**3 = 0. What is g? -4, 0, 1 Let i(j) be the first derivative of j**5/10 - 3*j**4/4 + 27*j**2/2 - 81*j/2 + 152. Determine t, given that i(t) = 0. -3, 3 Let d be 3 + 0/(-4) - -4. Let u be (-38)/(-6) - (d + -4). Suppose 1/3*s**5 - u*s**2 - 2*s**3 - 3 + s**4 + 7*s = 0. What is s? -3, 1 Let f(a) be the second derivative of -a**6/45 + a**5/5 - a**4/2 + 4*a**3/9 + 764*a. Solve f(j) = 0. 0, 1, 4 Suppose 0 = -7*u + 25*u - 90. Let k(s) be the first derivative of 1/15*s**6 + 1/5*s**2 + 3/5*s**4 - 8/15*s**3 - 8/25*s**u + 0*s - 1. Factor k(v). 2*v*(v - 1)**4/5 Let c(k) = 6*k**2 - 30*k - 5. Let j(d) = -3*d**2 + 15*d + 2. Let u(i) = -14*i + 5. Let b be u(0). Let r(g) = b*j(g) + 2*c(g). Suppose r(t) = 0. Calculate t. 0, 5 Find o, given that 383*o - 4*o**2 - 117*o - 51 + 86*o + 8*o**2 - 305 = 0. -89, 1 Let h(r) be the third derivative of 9*r**7/1400 + r**6/50 - 11*r**5/200 + r**4/20 - 7*r**3/6 - 2*r**2. Let m(c) be the first derivative of h(c). Factor m(p). 3*(p + 2)*(3*p - 1)**2/5 Suppose w - 14 = -2*a, -3*w + 39 = -0*a + 3*a. Let j be 3 - (-7)/((-112)/w). Factor -3/4*p**3 + 9/4*
{ "pile_set_name": "DM Mathematics" }
639*p**4/20 - 314*p**3/5 - 202*p**2/5 - 8*p - 13106. What is k in m(k) = 0? -2/3, -10/71 Let j = -7097/15 - -544/3. Let l = j + 293. Factor -l*y**3 - 2/5*y**4 + 0 - 4/5*y**2 + 0*y. -2*y**2*(y + 1)*(y + 2)/5 Let v(h) = 15*h**3 + 25*h**2 - 25*h - 10. Let j be 8/12 + (-26)/(-6). Let m(r) = -r**3 + 2*r. Let f(y) = j*m(y) - v(y). Let f(x) = 0. Calculate x. -2, -1/4, 1 Let c(n) be the first derivative of -n**4/14 + 2*n**3/7 + 9*n**2/7 + 10*n/7 + 2598. Factor c(a). -2*(a - 5)*(a + 1)**2/7 Suppose d = 4*t - 59, 5 = -3*t + 4*t + 3*d. Suppose t = 11*a - 19. Factor 36*h**2 - 76*h**2 - a*h**5 + 40*h**2 + 12*h**4. -3*h**4*(h - 4) Let v(y) be the second derivative of -1/10*y**5 - 2/21*y**7 + 0 + 1/12*y**4 + 91*y + 0*y**2 + 0*y**3 - 7/30*y**6. Factor v(n). -n**2*(n + 1)**2*(4*n - 1) Let w = -252 + 291. Let -175*q**2 - 5*q**3 - 1615*q - 1357 - 49 - w = 0. What is q? -17, -1 Let n(w) be the second derivative of -w**7/168 + 2*w**6/15 - 37*w**5/80 - 19*w**4/24 + 41*w**3/6 - 13*w**2 + 3*w - 764. Let n(k) = 0. What is k? -2, 1, 2, 13 Let k(t) = -84*t**3 - 616*t**2 - 788*t + 272. Let n(l) = 84*l**3 + 613*l**2 + 790*l - 273. Let s(d) = -7*k(d) - 8*n(d). Find g, given that s(g) = 0. -5, -7/3, 2/7 Let w = 135 - 4. Determine c so that -w*c**2 + 39*c**2 + 50*c**3 + 88*c - 16 - 8*c**4 - 16*c**2 = 0. 1/4, 2 Let b(t) = -9*t + 219. Let i be b(24). Let n(j) be the second derivative of 21*j + 0 + 5/3*j**4 + 8*j**2 - 17/3*j**i - 1/10*j**5. Find v such that n(v) = 0. 1, 8 Let p be (-40)/18 - 144/(-648). Let h be (78/507)/(p/(-26)). Factor h*o + 3/2 + 1/2*o**2. (o + 1)*(o + 3)/2 Let u(l) be the first derivative of -l**4/108 + l**3/27 - l**2/18 - 65*l + 62. Let m(w) be the first derivative of u(w). Factor m(p). -(p - 1)**2/9 Let f(y) be the first derivative of -69/14*y**4 + 27/5*y**5 - 27/7*y**3 + 15/7*y**2 + 0*y - 347. Solve f(n) = 0 for n. -5/9, 0, 2/7, 1 Let b = 14 - -18. Suppose -b = -4*y - 4*c, -4*c - 14 = 5*y - 51. Factor 3 - 10*o**3 + 2*o**4 - 3 - 10*o**2 - 5 - 5*o**y + 13*o**4 + 15*o. -5*(o - 1)**4*(o + 1) Let v(u) be the first derivative of -2*u**5/25 + u**4/5 - 2*u**2/5 + 58*u - 28. Let y(p) be the first derivative of v(p). Factor y(i). -4*(i - 1)**2*(2*i + 1)/5 Solve 3713730 - 220*h**2 + 2*h**5 + 72*h**4 - 144*h - 6*h**3 - 3713730 = 0 for h. -36, -1, 0, 2 Let k(h) be the first derivative of 16/9*h**3 - 4/3*h + 1/2*h**4 + 47 + h**2. Factor k(o). 2*(o + 1)*(o + 2)*(3*o - 1)/3 Let i(y) be the first derivative of -y**3/9 - 9*y**2/2 - 54*y + 4991. Factor i(g). -(g + 9)*(g + 18)/3 Suppose 17*a = 26*a - 7056. Let z be 7/(-4)*(-336)/a. What is t in -1/8*t**3 - 13/8*t + z + t**2 = 0? 1, 6 Let n(f) be the first derivative of f**4/16 - 9*f**3/8 - 15*f**2/4 + 118*f + 38. Let y(t) be the first derivative of n(t). Let y(v) = 0. What is v? -1, 10 Let i(h) = 26*h - 107. Let k be i(4). Let m be (k - -4)*(-3 - (-21)/7). Factor 0*r - 2/15*r**4 + m + 2/15*r**3 + 0*r**2. -2*r**3*(r - 1)/15 Let n be 2/7 - 1/(21/(-162)). Suppose -11*y + n*y + 30 = 0. Solve -y + 5*f**3 - 50*f - 5 - 25*f**2 + 85*f = 0 for f. 1, 3 Let g(r) = -1030*r**2 + 28420*r + 56615. Let k(s) = 75*s**2 - 2030*s - 4044. Let j(h) = -4*g(h) - 55*k(h). Determine a so that j(a) = 0. -404, -2 Factor -92*x + 87*x**2 + 192 - 36*x**2 - 53*x**2. -2*(x - 2)*(x + 48) Let i(a) be the second derivative of a**7/735 + a**6/210 - a**5/210 - a**4/42 - 13*a**2 + 25*a. Let q(o) be the first derivative of i(o). Factor q(w). 2*w*(w - 1)*(w + 1)*(w + 2)/7 Determine r, given that -693*r**3 - 45*r**5 + 1659*r**4 - 216 - 1443*r**2 + 356*r**3 - 1028*r**3 + 1410*r = 0. -1, 1/5, 2/3, 1, 36 Let h(u) be the first derivative of 6*u - 3*u**2 - 5/3*u**3 - 1/6*u**4 - 9 + 1/10*u**5. Let j(n) be the first derivative of h(n). What is z in j(z) = 0? -1, 3 Suppose -3*y + t + 5 = -4, 5 = 5*y - 5*t. Let m be 20/(y - 0) - 3. Find f such that -2/5*f**m - 6/5 - 8/5*f = 0. -3, -1 Determine n, given that 6276*n - 136 - 25*n**2 - 5906*n + 16 - 15*n**3 = 0. -6, 1/3, 4 Let u(s) be the second derivative of -s**5/80 - 689*s**4/48 - 39445*s**3/8 + 119025*s**2/8 + 39*s + 33. Factor u(w). -(w - 1)*(w + 345)**2/4 Let t(n) = 20*n**3 - 148*n**2 - 836*n + 4. Let x(o) = -o**4 - 2*o**3 - o**2 + 2*o + 2. Let v(j) = -2*t(j) + 4*x(j). Find k such that v(k) = 0. -15, -4, 0, 7 Let a be (0 - 8/(-10)) + (11 - 413/35). Let l(z) be the third derivative of 0 - 25*z**2 - 5/2*z**3 - 1/20*z**5 + 3/4*z**4 + a*z. Factor l(t). -3*(t - 5)*(t - 1) Suppose -3*d = 4*w + w + 1, 2*d = -4*w - 2. Suppose -p + d = -4*f, 0 = 4*f + 2*p + 2*p - 12. What is c in -1/4*c**4 - 1/2*c + 3/4*c**2 + 0 + f*c**3 = 0? -2, 0, 1 Let o(n) be the first derivative of -13 + 34/3*n**3 - n**2 + 0*n. Factor o(i). 2*i*(17*i - 1) Let r(h) = 8*h**4 - 53*h**3 - 48*h**2 + 48*h. Let n(s) = 33*s**4 - 222*s**3 - 192*s**2 + 192*s. Let k(j) = -5*n(j) + 21*r(j). Factor k(z). 3*z*(z - 4)*(z - 1)*(z + 4) Let u(v) be the second derivative of 4/17*v**2 + 0 + 5/102*v**4 - 7/170*v**5 + 16/51*v**3 + 6*v. Let u(f) = 0. What is f? -1, -2/7, 2 Let f(a) = -6*a**2 - 12*a + 13. Let w be f(1). Let c(h) = -h**3 - 6*h**2 - 14*h - 43. Let u be c(w). Factor -32/11*b + 2/11*b**u + 128/11. 2*(b - 8)**2/11 Let d(k) be the first derivative of -4*k**5/5 + 21*k**4 + 92*k**3/3 - 42*k**2 - 88*k - 60. Determine n, given that d(n) = 0. -1, 1, 22 Let n(i) be the first derivative of -i**5/45 + 5*i**4/4 - 40*i**3/27 - 10*i**2 + 176*i/9 - 6502. Find k, given that n(k) = 0. -2, 1, 2, 44 Let m be (66/(-88))/((-17)/((-10608)/(-90))). Suppose -67/5*a - m - a**2 = 0. Calculate a. -13, -2/5 Let a(c) be the second derivative of -c**5/5 + 67*c**4/6 - 608*c**3/3 + 768*c**2 - 6*c - 14. Factor a(v). -2*(v - 16)**2*(2*v - 3) Let h(a) = 2*a**2 - 423*a - 759. Let m(z) = -6*z**2 + 1260*z + 2278. Let r(v) = -14*h(v) - 5*m(v). Factor r(y). 2*(y - 191)*(y + 2) Let o(h) = -271*h - 65. Let b be o(1). Let f = b - -384. Find j, given that -f*j**2 - 1/3 + 8*j = 0. 1/12 Let a(c) = 27*c**5 + 357*c**4 - 223*c**3 + 39*c**2. Let p(g) = -9*g**5 - 120*g**4 + 74*g**3 - 13*g**2. Let w(d) = -3*a(d) - 8*p(d). Find n such that w(n) = 0. -13, 0, 1/3 Factor -2*m**3 + 7*m**3 + 623*m**2 + 16*m - 83*m**2 - 16*m. 5*m**2*(m + 108) Let s(g) = -6*g**3 + 285*g**2 - 741*g + 492. Let u(t) = 11*t**3 - 560*t**2 + 1483*t - 984. Let k(y) = -5*s(y) - 3*u(y). Find m such that k(m) = 0. 1, 2, 82 Let f be 11/1 - 18395/283*(-2)/(-14). Factor f*r - 15/7*r**2 + 36/7. -3*(r - 2)*(5*r + 6)/7 Let h be (-6)/9 - 284674/(-78). Determine w so that 423*w + 145*w - 5*w**2 - 222 - 108*w - h - 6709 = 0. 46 Let l(s) be the second derivative of 2 - 8*s + 9/5*s**5 + 6*s**4 - 8/3*s**3 - 48*s**2 + 2/15*s**6. Factor l(k). 4*(k - 1)*(k + 2)**2*(k + 6) Let v = 71590 - 286349/4. Factor 0 + 3/4*w - w**3 - v*w**2. -w*(w + 3)*(4*w - 1)/4 Let t(x) = x**2 + 22*x + 119. Let a be t(-13). Suppose -5*d**2 + d**2 - 37*d + 3*d**2 + 2*d**a = 0. Calculate d. 0, 37 Let d(c) be the first derivative of -c**5/5 - 17*c**4/4 - 62. Let d(w) = 0. What is w? -17, 0 Factor 2/11*c**2 - 312/11 + 40/11*c. 2*(c - 6)*(c + 26)/11 Let k(o) = o**3 + 24*o**2 - 2*o - 45. Let h be k(-24). Find w, given that -20*w**h + 10*w**4 + 20*w**2 + 18*w + 35*w**5 + 2 - 28*w - 37*w**5 = 0. 1 Let m = 677 + -433. Let d = m - 167. Factor -30*z - 93*z - 50*z**3 + 165*z**2 - d*z + 5*z**4 + 80. 5*(z - 4)**2*(z - 1)**2 Suppose 3*y + 6*y = 12*y. Let c(f) be the third derivative of -1/24*f**4 + 0*f + 12*f**2 + 1/120*f**5 - 1/4*f**3 + y. Factor c(q). (q - 3)*(q + 1)/2 Find u, given that -1340 + 5*u**2 - 1356 + 2707 + 34*u - 2*u**2 = 0. -11, -1/3 Factor -1546*r**3 - 31897 - 134*r**3 - 220*r**4 - 5*r**5 + 30847 - 3355*r - 3770*r**2. -5*(r + 1)**3*(r + 6)*(r + 35) Let t be (113 + -111)/((-1)/(-2))*1. Factor 0 + 2/3*y**t + 0*y + 4/9*y**3 + 0*y**2. 2*y**3*(3*y + 2)/9 Let p(n) = 75*n**2 - 153*n - 309. Let l(v) be the second derivative of 11*v**4/12 - 11*v**3/3 - 22*v**2 - v + 90. Let o(u) = 27*l(u) - 4*p(u). Factor o(g). -3*(g - 8)*(g + 2) Let a(w) = w**2 - 1. Let x(b) = -b**3 - 6*b**2 + b + 6. Let h = 329 - 349. Let n(d) = h*a(d) - 4*x(d). Factor n(y). 4*(y - 1)*(y + 1)**2 Factor -6813*g + 4*g**4 + 12426*g - 6373*g + 376*g**3 - 388*g**2. 4*g*(g - 2)*(g + 1)*(g + 95) Suppose 11 = 2*g - 21. Suppose g + 0 = -4*m. Let v(o) = -3*o**2 + 2*o + 1. Let u(l) = -l**2 + 1. Let r(t) = m*u(t) + v(t). Factor r(y). (y -
{ "pile_set_name": "DM Mathematics" }
- 17 - 15 = 0. Suppose 6*p = 2*p + 36. What is the lowest common multiple of p and j? 72 Let h(l) = l**2 + 6*l - 8. Let q = -7 + 10. Suppose q*s = -3*u + 24, 0 + 33 = 4*u + 3*s. What is the least common multiple of u and h(-8)? 72 Let r = 16 - -4. Let t = -12 + r. Calculate the lowest common multiple of t and 2/(-2) + 12 + 1. 24 Let y be 1/2 - (-11)/2. Suppose -y*w + 2*w + 80 = 0. What is the lowest common multiple of w and 20? 20 Suppose 2*m = 5*q + 3 + 3, 4*q - 3 = -m. Calculate the lowest common multiple of m and 15. 15 Let p = -119 + 76. What is the common denominator of 10*(p/21 + 2) and -19/7? 21 Let f = 19/200 - -11667/1400. Calculate the common denominator of 51/11 and f. 77 Let z = 12 + 53. Calculate the smallest common multiple of 11 and z. 715 Let p = -140 + 98. What is the common denominator of (-3 + -3)*p/40 and 38/7? 70 What is the common denominator of -83/6 and ((-2)/3)/((-8)/282)? 6 Let f = 12063 + -265459/22. Calculate the common denominator of ((-2)/4)/((-16)/(-116)) and f. 88 Let z = 5 - 5. Suppose 5*s = -z*s. Suppose 2*h - 8 - 12 = s. Calculate the least common multiple of 8 and h. 40 Suppose 5*k + n = 31, 3*k = 3*n - 0*n + 15. What is the common denominator of (-16)/k*99/(-42) and -10/9? 63 Suppose 6*b - 27 = 5*b + 2*g, b + g = 36. Calculate the lowest common multiple of 78 and b. 858 Let v(x) = x**2 + 13*x + 12. Let b be v(-11). Calculate the common denominator of 2 + 39/b*-2 and 45/7. 35 What is the smallest common multiple of 4 and (9/4)/((-3)/(-8))? 12 Let a = -2/189 - 6971/2079. What is the common denominator of a and 4/(-3)*31/12? 99 Let s be 6/8 - (-268)/(-16). Find the common denominator of 35/3*(-6)/s and (-2)/4 - 232/(-12). 24 Suppose s - 5*d + 3 = -6*d, 4*d + 20 = 0. Calculate the lowest common multiple of 263 and s. 526 Let i(w) = -6*w - 4. Suppose 2*v + 7*v = 198. Calculate the smallest common multiple of i(-4) and v. 220 What is the common denominator of -4 - (312/(-27))/(-8) and -23/9? 9 Let l(y) = y + 10. What is the least common multiple of 12 and l(8)? 36 Suppose -165*j = -171*j + 30. Suppose 2*y - 7 = -5*x, -2*x - 25 = 3*x. What is the lowest common multiple of y and j? 80 Suppose 1 = -y + 2. Suppose -u = y - 3. Find the common denominator of -8/11 and (6/42)/(u/(-82)). 77 Let a(n) = -6 - 3*n**2 + 22 + 4*n**2. What is the smallest common multiple of a(0) and 18? 144 Let x = -159109/36 - -4418. Find the common denominator of x and 25/4. 36 Let p(u) = u + 4. Let c be p(-3). Let f = 5 - c. Let m = 14 - 7. What is the lowest common multiple of m and f? 28 Suppose x = 0, 0 = -z - 2*x + 4 + 3. Let u = -5 + z. Calculate the lowest common multiple of u and 16. 16 Suppose -3 = -3*x, v + 5*x = -3*v - 63. What is the common denominator of 151/6 and 5/(-2)*v/30? 12 Find the common denominator of (746/(-280) - -2)*15/45 and -83/6. 420 Let p(r) = -r**3 - 6*r**2 - 5*r + 1. Let o be p(-4). Let u = -6 - o. Suppose -3 = -2*x + 3. What is the lowest common multiple of x and u? 15 Suppose 0 = -2*v + 4*w + 64, -3*v - 5*w + 154 = v. Calculate the least common multiple of v and 9. 36 Suppose -3*k - 2*f = 2539, -6*k + f - 1695 = -4*k. Let h = 5027/6 + k. What is the common denominator of -63/16 and h? 48 Let x = 47 - 25. Suppose 0 = -z + 8. Calculate the lowest common multiple of z and x. 88 Let l(f) = -f**3 + 10*f**2 - 16*f - 8. Let p be l(8). What is the least common multiple of (-2 - 2)/(p/32) and 20? 80 Let u = 254/15 - -22/5. Find the common denominator of u and 61/15. 15 Let o = 329 + -590. Calculate the common denominator of (-1)/4 + o/(-24) and ((-110)/(-56) + -2)*22. 56 Suppose -2 = -z - z. Let u be z - (20*1 - -1). What is the common denominator of 46/(-4) - 4/u and -77/6? 30 Suppose 4*i + 3*x = 59, 9 = -2*i + x + 36. Suppose 12*u = 13*u - 8. What is the smallest common multiple of i and u? 56 Let b(l) be the first derivative of -2 - l**3 + 1/2*l**2 + 1/2*l**4 + 0*l. Calculate the lowest common multiple of b(2) and 8. 24 Let l be -2 + 10876317/(-3417) + 2. Let a = 3183 + l. Let s = a - -3433/9112. Find the common denominator of s and 41/7. 56 Calculate the lowest common multiple of 3 and -1 + 2 - (-4 - 0). 15 Suppose 3*g + 7 = -20. Let m be 6067/(-18219) - 3/g. Let j = m - -139667/36438. Find the common denominator of j and 32/3. 6 Let g(k) = 268*k**3 - k**2 + 2*k - 1. Let y be g(1). Let a = 2/6609 - 363503/26436. Calculate the common denominator of a and (y/80)/(4/(-10)). 8 Let p be -3*(-4)/(-6) - -5. Suppose 3 = 2*n - p. What is the lowest common multiple of 42/4 - n/2 and 6? 18 Suppose -3*x = -7*x + 16. Suppose 9*s = x*s + 25. What is the smallest common multiple of s and -6*-1*9/6? 45 Suppose 17 + 23 = 4*b. What is the smallest common multiple of 20/6 + 12/(-9) and b? 10 Let o = 27789/5 + -5590. Let z = -32 - o. Find the common denominator of 37/8 and z. 40 Let h = 65 + -583/9. What is the common denominator of -15/11 and h? 99 Find the common denominator of (1/11)/((-1)/(-27)) and 41/(-8) - (0 - 1). 88 Calculate the lowest common multiple of 15 and (1/(-3))/((-4)/36). 15 Let z(j) = j - 4. Let y be z(6). Suppose 5 = y*c - 3. What is the smallest common multiple of c and 24*(8/6)/2? 16 Let z = 10 + -8. Calculate the lowest common multiple of 4 and z. 4 Let b(y) = -y - 2. Let x be b(6). Let q be (x/14)/2*-4339. Let h = 1235 - q. What is the common denominator of h and 27/4? 28 Let c = 3 + 11. Suppose 2*j + 3*j = 160. What is the least common multiple of c and (9/(-6))/((-3)/j)? 112 Let x be 18/(-9) + 542/(-16). Let c = 101/8 - x. What is the common denominator of 47/3 and c? 6 Let g = -28 - -48. Let j(y) = -2*y + 2. Calculate the lowest common multiple of g and j(-5). 60 Suppose 0*u - 350 = 5*h - 4*u, -3*h - u = 193. Let d be h/(-8) - 1/4. Find the common denominator of ((-1)/(-12))/((-4)/d) and 59/6. 6 Suppose -3*k + 0*k + 24 = 0. What is the common denominator of ((-54)/(-105))/(k/(-50)) and 65/18? 126 Let h(i) = -4*i + 4. Let x = -31 + 47. What is the lowest common multiple of h(-4) and x? 80 Suppose 10*w - 576 = -2*w. What is the smallest common multiple of 8 and w? 48 Suppose -19 - 5 = -4*n. Calculate the least common multiple of n and 6. 6 Let v = 2 + -4. Calculate the lowest common multiple of (-4 - v) + 20/2 and 21/(-2)*12/(-9). 56 Suppose -q + 5*q + z + 133 = 0, 0 = 2*q - 5*z + 39. Calculate the common denominator of (-136)/12*7/(-4) and (-24)/q*(-242)/18. 12 Calculate the common denominator of -97/20 and ((-185)/(-124) - (3 + -1))*2. 620 Suppose u + 12 = 2*u. Calculate the smallest common multiple of 20 and u. 60 Let y be 1 - (1 - 26098/(-10)). Let c = -2600 - y. What is the common denominator of c and 7/10? 10 Let c be (-20)/6*(-72)/20. Suppose -2*n + c = -4. Calculate the smallest common multiple of n and 10. 40 Suppose 2*p = -p + 21. Let f(c) = -4*c + 6. Let l be f(p). Calculate the common denominator of -18/5 and 1 + -1*6/l. 55 Let b = 818188886528579/2324239344642 - -450/169084777. Let a = -27350/79 + b. Let p = -68/29 - a. Calculate the common denominator of -63/5 and p. 30 Suppose 0 = 4*a - 5*l + 3, 3*l = a - 2*l - 3. Let k = a - -11. What is the lowest common multiple of k and 11? 99 Let s = 353/66 - 2/11. Let w = 1/1456 - 1247795/4368. Let t = w - -283. Find the common denominator of t and s. 6 Let v be (2/4)/(1/2). Let k be 1 + -8 + v + 0. Calculate the common denominator of 1*(0 + 47/k) and 35/6. 6 Find the common denominator of 250/(-12) - 1*-2 and (-22)/77 + (-409)/(-84). 12 Let r = 2 + -1. Let n = 3/8 - 13/56. Calculate the common denominator of n and 474/180 - r/3. 70 Let o = -72509 + 292757/4. Let s = -659 + o. Find the common denominator of s and -83/22. 44 Let w(z) = z**3 - z**2 - 8*z - 5. What is the lowest common multiple of w(4) and 5? 55 Let y = -2964204/31 + 95628. Let g = -1493/310 + y. Let o = -3983/1014 - -16/169. Find the common denominator of o and g. 30 Let t(z) = 13*z**3 + z**2 + z + 1. Let p be t(-1). Calculate the common denominator of 5/p*(-24)/(-32) and 63/2. 16 Suppose 0 = 8*w - 6*w + 10. Find the common denominator of w and -26/11. 11 Let i be 2*(-3 + 2) - 131. Let c = -1466/11 - i. Calculate the common denominator of ((-51)/(-24) - 2)*19 and c. 88 Let q = 887/100 - 3/25. Find the common denominator of q and (-2)/4 + (-20)/25. 20 Suppose 0*g = 4*g. Suppose f + 2 -
{ "pile_set_name": "DM Mathematics" }
d(v) = 6 + 13309*v**3 - 4*v**2 + 2*v**2 + 4*v - 13312*v**3. Let f(m) = 2*m**3 + m**2 - 2*m - 3. Determine -2*d(n) - 5*f(n). -4*n**3 - n**2 + 2*n + 3 Let k(y) be the first derivative of -y + 76. Let h(c) = -6*c + 2. Determine -h(m) - 6*k(m). 6*m + 4 Let c(h) = -691*h + 24. Let m(o) = 979*o - 34. Let f(r) = 17*c(r) + 12*m(r). Let u(x) = -49*x + 1. What is 4*f(n) - u(n)? 53*n - 1 Let c(z) = 17*z**2 - 13*z - 20. Let m(b) = 117*b**2 - 89*b - 141. What is 41*c(g) - 6*m(g)? -5*g**2 + g + 26 Let r(a) = 97*a**2 - 10*a + 786. Let y(g) = -18*g**2 + 2*g - 157. What is 2*r(z) + 11*y(z)? -4*z**2 + 2*z - 155 Let s(d) = 3*d**2 - 68*d + 50. Let k be s(22). Let z(r) = -13*r + 17 + 11 - 25. Let g(b) = -4*b + 1. Determine k*z(n) - 17*g(n). -10*n + 1 Let t(s) be the third derivative of -s**6/30 - s**5/6 + 5*s**2. Let q = 6884 - 6904. Let z(m) = m**2. Give q*z(r) - 2*t(r). 8*r**3 Let k(s) = -8*s**2 - 25*s - 4. Let n(z) = -18*z**2 - 44*z - 7. Let f(j) = 7*k(j) - 4*n(j). Let t(v) = -v**2 + 1. Calculate -f(g) + 2*t(g). -18*g**2 - g + 2 Let q(k) = -14*k**3 + 51*k**2 - 5. Let h(c) = -17*c**3 + 51*c**2 - 6. Determine 5*h(z) - 6*q(z). -z**3 - 51*z**2 Let d(k) = 36*k - 6. Let o(x) = 19*x - 4. Let v(m) = 6*d(m) - 11*o(m). Let j(b) = b + 1. Determine 4*j(f) - v(f). -3*f - 4 Let f(i) = 5*i - 1. Let p(k) = k - 2. Let g be p(1). Let w(b) be the second derivative of 25*b + 1/6*b**3 + 0*b**2 + 0. Give g*f(r) + 3*w(r). -2*r + 1 Let o(g) = 72204*g + 1672. Let k(q) = -2063*q - 48. What is 209*k(c) + 6*o(c)? 2057*c Let v(d) = -d - 4. Let k = 326 - 288. Suppose -4*n + 3*z - 50 = 0, -k = 4*n + 33*z - 30*z. Let y(b) = 1. Calculate n*y(p) - 2*v(p). 2*p - 3 Suppose -8*a + a - 189 = 0. Let w be 1/((-3)/(a/(-3))). Let o(v) = -2*v**2 + 2*v. Let t(f) = -2*f**2 + f**2 + 2*f**2 - 16*f + 13*f. Calculate w*o(m) - 2*t(m). 4*m**2 Let j(x) = -x**2 - 5*x + 3. Let v(m) = 222*m + 231*m - 1 - 449*m - 1. What is 3*j(n) + 4*v(n)? -3*n**2 + n + 1 Let y(p) = -p**2 - p - 4. Let a(r) = -r**2 - r - 3. Suppose -154*b = -149*b - 1110. Let n = b - 226. Determine n*a(k) + 3*y(k). k**2 + k Let d(r) = 19 - 12 + 18 + 85*r. Let f(o) = -7*o - 2. Let q be (-11*2/(-22))/((-2)/50). What is q*f(s) - 2*d(s)? 5*s Let t(r) = 2*r**2 + 2. Let i(q) = q + 22*q**2 - 59*q**2 + 15*q**2 + 19*q**2 - 5 + 2. Give 3*i(b) + 5*t(b). b**2 + 3*b + 1 Let g(q) = -3*q**3 - q**2 + q. Let r(a) = -7*a**3 - 29*a**2 + 5*a + 1. Calculate -3*g(u) + r(u). 2*u**3 - 26*u**2 + 2*u + 1 Let v(i) = -10*i**3 - 5*i**2 + 14*i - 7. Let j(m) = -11*m**3 - 4*m**2 + 12*m - 6. Determine -7*j(y) + 6*v(y). 17*y**3 - 2*y**2 Let b(y) = 14*y**2 + 1. Let z(d) = 9*d**2 + 1. Let m = -9 - -19. Let n be ((-4)/m)/((-13)/(-650)). Let g = n + 15. What is g*b(k) + 8*z(k)? 2*k**2 + 3 Let r(m) be the first derivative of m**3/3 - m**2/2 - 2790. Let k(o) = -6*o**2 + 12*o. Calculate -k(j) - 5*r(j). j**2 - 7*j Suppose 209 = -4*o - 4*y + 241, 5 = 4*o - 5*y. Let q(j) = -10*j**2 + 7. Let p(t) = 9*t**2 - 6. Determine o*q(f) + 6*p(f). 4*f**2 - 1 Let z(j) = 89*j**3 - 10*j**2 - 5*j. Let f(d) = 45*d**3 - 3*d. Calculate -5*f(b) + 3*z(b). 42*b**3 - 30*b**2 Let s(r) = 1167 + 15*r - 1152 - 20*r**3 + 36*r**2 - 21*r**2. Let b(m) = -5*m**3 + 4*m**2 + 4*m + 4. Let k be 22/11 + 1 + 1. Determine k*s(v) - 15*b(v). -5*v**3 Let x(b) = b**2 - 5*b - 2. Let q(n) = n**2 - 208*n - 1279. Let k be q(-6). Let f(c) = 2*c**2 - 11*c - 5. Calculate k*x(v) - 2*f(v). v**2 - 3*v Let n(f) = -4314*f + 25. Let a(j) = -1437*j + 9. Give -17*a(o) + 6*n(o). -1455*o - 3 Let g(z) = -267*z + 6. Let l(r) = -875*r + 19. Give 7*g(n) - 2*l(n). -119*n + 4 Let p(x) = 3*x**3 - 2. Let i(g) = -7*g**3 + g**2 - g + 5. Let y = 4834 + -4839. Give y*p(u) - 2*i(u). -u**3 - 2*u**2 + 2*u Let r(f) = 4*f + f**2 - 5 - 2*f + 3*f. Let k(t) = -t**2 - t + 1. Let q = -1060 - -1059. Let l be (-48)/120 + (-46)/10. Determine l*k(w) + q*r(w). 4*w**2 Let h(q) = q**3 + 5*q**2 - 6*q - 564. Let l(j) = -j**3 - 9*j**2 + 10*j + 1125. Give -5*h(m) - 3*l(m). -2*m**3 + 2*m**2 - 555 Let h(b) = -10 + 5 - 2 - 11*b. Let k(w) = -2*w - 40. Let p be k(-22). Let n(y) = -5*y - 3. Let i = -20 + 11. What is i*n(s) + p*h(s)? s - 1 Let f(a) = 60*a**2 - 4*a - 4. Let o(c) = -120*c**2 + 9*c + 12. Calculate -9*f(k) - 4*o(k). -60*k**2 - 12 Let j(c) = c**2 - c - 10. Let b(x) = -15*x**2 - 8*x - 65. What is b(o) - 7*j(o)? -22*o**2 - o + 5 Let k(s) = s. Let q(m) = 5*m**2 - 5*m - 5. Let f(d) = 45*d**2 - 45*d - 43. Let w(x) = 3*f(x) - 26*q(x). Give -3*k(n) - w(n). -5*n**2 + 2*n - 1 Let h(n) = 83*n**2 + 7*n + 4. Let w(c) = 166*c**2 + 6*c + 7. Calculate -7*h(o) + 4*w(o). 83*o**2 - 25*o Let t = 125 + -93. Suppose t = -7*b + 18. Let o(y) = 15*y**3 + 33*y**2. Let c(h) = h**3 + 2*h**2. What is b*o(z) + 33*c(z)? 3*z**3 Let y(f) = -88*f**2 - 3088*f + 24. Let t(a) = 37*a**2 + 1235*a - 10. Calculate 12*t(r) + 5*y(r). 4*r**2 - 620*r Let k(i) = 88*i**2 - 204*i + 17. Let p(b) = -21*b**2 + 51*b - 4. What is 4*k(s) + 17*p(s)? -5*s**2 + 51*s Let w(b) = -21*b**2 + 6*b + 30. Let j(k) = -94*k**2 + 25*k + 121. Calculate -2*j(f) + 9*w(f). -f**2 + 4*f + 28 Let w(s) = 418*s**3 + 4*s**2 + 9*s - 6. Let m(f) = 835*f**3 + 9*f**2 + 21*f - 14. Calculate -3*m(u) + 7*w(u). 421*u**3 + u**2 Let r(a) = -79*a - 12. Let l(s) = -165*s - 23. Give -3*l(v) + 5*r(v). 100*v + 9 Let i(a) = 11*a**2 - 21*a + 115. Let l(r) = 5*r**2 - 10*r + 57. What is -6*i(m) + 13*l(m)? -m**2 - 4*m + 51 Let m(j) = -5*j - 24. Let l(y) be the first derivative of -3*y**2/2 - 16*y + 117. Determine 8*l(h) - 5*m(h). h - 8 Suppose -3*z - 13 = 4*m, -2*z + 121*m = 120*m - 17. Let x(f) = 7*f - 4. Let y(o) = -6*o + 5. Calculate z*x(t) + 6*y(t). -t + 10 Let a = 178 - -46. Let h = -217 + a. Let q(d) = -9*d**3 + 7*d**2 + d - 2. Let o(p) = -8*p**3 + 6*p**2 + p - 2. What is h*o(s) - 6*q(s)? -2*s**3 + s - 2 Let u(i) = -5*i**3 - i**2. Let j(x) = 6*x**3 + x**2 + x. Let w(o) = -786*o + 7071. Let t be w(9). Give t*u(f) - 2*j(f). 3*f**3 + f**2 - 2*f Let j(o) = 13. Let v(b) = 3225*b - 79. Calculate 6*j(u) + v(u). 3225*u - 1 Let s(p) = 2*p**2 - 3*p**2 + 9 - 8*p - 5. Let r(k) = 3*k**2 + 23*k - 11. Let h(z) = z**3 + 67*z**2 - 355*z + 343. Let c be h(-72). Calculate c*s(y) - 6*r(y). -y**2 - 2*y - 2 Let j(f) = -39*f - 24. Let d be 4 + (-6)/(-1 - -4). Let b(y) = -2*y + 119 - 4*y - d*y - 124. Give 24*b(r) - 5*j(r). 3*r Let g(l) = l. Let u(c) be the third derivative of -c**5/12 - 5*c**4/24 - 16*c**2 - 3*c + 6. Let y = -12 - -7. Calculate y*g(b) - u(b). 5*b**2 Let u = -1250 - -1224. Let r(o) = -o**2 - 4*o + 2. Let k(b) = -4*b**2 - 17*b + 9. Let f(s) = -s**2 - 6*s - 2. Let l be f(-4). Calculate l*k(q) + u*r(q). 2*q**2 + 2*q + 2 Let l(c) = 3*c**3 - 108*c**2 - 112*c - 77. Let x be l(37). Let w(v) = -95*v**2 - 114*v. Let y(b) = -b**2 - b. Determine x*y(z) + w(z). 19*z**2 Let n(y) be the first derivative of -3*y**3 - 7*y**2/2 - y + 14. Let k(u) = 14*u**2 + 11*u + 2. Let x be (-30)/(-20)*(-10)/(-6)*-2. Determine x*k(t) - 8*n(t). 2*t**2 + t - 2 Let z(h) = 502*h**3 + 176*h**2 - 22*h - 12. Let b(x) = -167*x**3 - 55*x**2 + 7*x + 4. What is -16*b(r) - 5*z(r)? 162*r**3 - 2*r - 4 Let w = 5730 - 5737. Let g(c) = 13*c**3 + 2*c**2 - 6*c + 2. Let d(u) = 14*u**3 + 3*u**2 - 7*u + 2. What is w*g(k) + 6*d(k)? -7*k**3 + 4*k**2 - 2 Let j(i) = -16*i**2 + 30*i - 156. Let n(r) = 15*r**2 - 25*r + 149. Calculate 5*j(x) + 6*n(x). 10*x**2 + 114 Let r(n) = -103*n. Let z(v) be the first derivative of -51*v**2/2 - 3407. Give -6*r(f) + 13*z(f). -45*f Let g(v) = -4*v**2 - 2*v + 38. Let z(r) = 101*r - 4956. Let b be z(49). Let p(i) = 13*i**2 + 7*i - 113. Calculate b*g(c) - 2*p(c). 2*c**2 - 40 Let z(u) be the third derivative of u**5/15 + u**4/2 + u**3/3 + 3148*u**2. Let w(p) = -4*p**2 + 2*p**2 + 0 + 8*p**2 + 18*p + 3. Give 5*w(t) - 7*z(t). 2*t**2 + 6*t + 1 Let r(w) = 7*w + 4 + 3*w**3 - 5*w**3 + 5*w**2 - 1 - 2*w. Let o(n) = -2*n**3 + 4*n**2 + 4*n + 3. Let f = 1305 - 1301. Determine f*r(i) - 5*o(i). 2*i**3 - 3 Let o(l) = -51*l + 25. Let b(n) = 26*n - 9. Calculate 5*b(y) + 2*o(y). 28*y + 5 Let x(s) = s**2 + s - 1. Let w(b) be the second derivative of b**4/6 + 5*b**3/6 - 3*b**2 - 776*b. Give -w(m) + 6*x(m). 4*m**2 + m Let i = -20 + 13. Let f(t) = -19*t - 11. Let j = -82 + 74. Let z(n) = 6*n + 4. Let r(b) = j*z(b) - 3*f(b). Let p(k) = 8*k + 1. Calculate i*p(u) + 6*r(u). -2*u - 1 Suppose -254*l = -253*l. Let k = l - -4. L
{ "pile_set_name": "DM Mathematics" }
aller: 433986/5 or 86797? 86797 Is -1 less than 12/62273? True Which is greater: -13426 or -13425? -13425 Which is bigger: 436 or -331? 436 Which is bigger: 14834 or 14846? 14846 Is 47176 bigger than 47173? True Which is bigger: 1 or 2/504117? 1 Which is smaller: -1 or 6/99821? -1 Do 110331 and 2/7 have the same value? False Is 1/161 less than 1.0062? True Which is smaller: -72 or -19265? -19265 Does 135974/47 = 2892? False Which is bigger: -126927/8 or -15865? -15865 Which is bigger: 51254 or 51253? 51254 Which is bigger: 171 or -2419.1? 171 Which is bigger: 0 or 93/5963? 93/5963 Is 538 bigger than 555? False Is 598656/5 bigger than 119731? True Which is smaller: -1 or 1/263056? -1 Are -1/3 and 425097 equal? False Which is greater: -12741 or -3.4? -3.4 Is 12024/35 not equal to 343? True Which is smaller: -1 or 2949? -1 Which is greater: 3/956 or 9? 9 Which is greater: -583294/27 or -21603? -21603 Is 48713 at least as big as 48706? True Which is greater: -345 or -399? -345 Which is smaller: 1123 or 1059? 1059 Which is smaller: -38/369 or 129? -38/369 Which is greater: 0.235 or 374? 374 Does -3.76733 = 2/3? False Which is greater: 3/31 or -212? 3/31 Are 123/8 and -6 unequal? True Which is bigger: -814/25 or 132/5? 132/5 Is -8 greater than 3298? False Is 59199 at least 59195? True Is -92397 >= -92398? True Which is greater: -18 or -50318? -18 Which is bigger: 22146 or 22148? 22148 Is -48043 < -48038? True Is -38296 >= -38295? False Is 155/29 smaller than -23? False Is 381077 >= 1? True Which is bigger: -131/883 or 0? 0 Which is smaller: -96/1699 or 0? -96/1699 Which is smaller: -54/53 or 90? -54/53 Which is smaller: -0.413 or 242? -0.413 Is 2675 at least as big as 132? True Which is smaller: -2122/543 or -4? -4 Is 1 > 2/8293617? True Which is smaller: -1 or 1/23407? -1 Is 1036 bigger than 1047? False Which is smaller: 291598 or -2/9? -2/9 Is -5631 smaller than 0.07? True Which is bigger: 21 or -0.5683? 21 Does -446 = 0.07? False Is -3/54571 > 1? False Is 27193 > 1.7? True Which is greater: 0.037736 or -2/29? 0.037736 Do 1/11268 and -1 have different values? True Which is smaller: 143/14514 or 1? 143/14514 Is -2330 >= -2309? False Which is smaller: 1978 or -76? -76 Is 50/316899 at least as big as -1? True Is 10141 smaller than 10142? True Which is smaller: -235 or 220? -235 Which is smaller: 110487 or 2/3? 2/3 Is 3/6349 smaller than -142? False Is 18625 > 18619? True Is -1 at least -368/291? True Which is smaller: -477050 or -2385248/5? -477050 Is 6 at least -493? True Are -31519 and -31520 equal? False Which is bigger: 1657/34 or 50? 50 Which is smaller: 459 or 371? 371 Which is smaller: -47931 or -47881? -47931 Are -1/124587 and 1 nonequal? True Is 211/236 >= 2? False Is 60995/6 smaller than 10167? True Is 19 at most as big as 565/32? False Which is greater: -459 or -611? -459 Are -32 and -589 unequal? True Is -351260 at most as big as -351259? True Is 6793 less than or equal to 40765/6? True Is -9366 smaller than -9369? False Is 258837 > 258835? True Which is greater: 6325/7 or 0.37? 6325/7 Which is greater: 1 or 574/645? 1 Are -2.105 and -322 non-equal? True Which is smaller: 72113 or 3? 3 Is -254/1429 at most 1? True Are 1/761555 and 0 non-equal? True Is -528/1559 <= -1? False Which is smaller: -234 or -0.7? -234 Are 13615 and 13626 unequal? True Is 0.3134 <= -0.12? False Which is smaller: 18/11 or 0.00195? 0.00195 Are 4 and 4.521 unequal? True Is 7598 less than or equal to 63? False Is -5 bigger than -116148? True Which is bigger: 3/43291 or -1? 3/43291 Which is bigger: -0.0185 or -484? -0.0185 Is -13/625 at least as big as -31/5? True Is -10/23819 > 0? False Is -55/6724 greater than or equal to 1? False Is -618763 >= -1237525/2? False Is -39950 < -1? True Is -13455 equal to -13451? False Which is greater: -11781 or -11752? -11752 Which is smaller: -2120/11 or -192? -2120/11 Is -539631 <= -539631? True Which is greater: 7329 or 7321? 7329 Which is bigger: 1/199137 or 0? 1/199137 Which is greater: 0 or 594/941? 594/941 Which is smaller: 1404/23 or 60? 60 Does 51 = -401? False Which is smaller: -104/4111 or 0? -104/4111 Are 47/2930 and 1 non-equal? True Which is greater: 0 or -66/2435? 0 Which is greater: -57871 or 2/3? 2/3 Is 0 <= 2/452607? True Is -4113986 > -4113985? False Which is smaller: -23735/6 or -3957? -3957 Which is bigger: 8067 or 8381? 8381 Does 3 = -167.6? False Does 1289 = 1350? False Is 26997 at most 26995? False Is 390/419 bigger than -4? True Is -83227 at least as big as -83227? True Does 6817 = 6817? True Are 16561/25 and 661 unequal? True Is 15257 less than or equal to 15259? True Do -549 and -86400/157 have the same value? False Which is smaller: 82 or 171? 82 Which is smaller: 3/85202 or -0.1? -0.1 Which is greater: -235/1962 or 1? 1 Which is greater: 57984 or 57994? 57994 Is -30/917 != -18? True Which is smaller: 0 or -1/222858? -1/222858 Is 41/239875 at least as big as -1? True Which is bigger: -2.37 or -9319? -2.37 Which is greater: 0.1 or 26/2459? 0.1 Is 124/177 greater than or equal to 1? False Is 6837389 > 6837389? False Is -2 equal to -1758/503? False Is 3 < 757.7? True Are -2/7 and 3/36914 equal? False Which is smaller: -99177/5 or -1? -99177/5 Is -304313 greater than -304313? False Is 245849 less than or equal to 245849? True Are -4/112951 and -1 nonequal? True Are 54505 and 54508 non-equal? True Which is smaller: -2006/511 or -4? -4 Are 0 and 2/1181233 unequal? True Is -22632 != -3? True Which is bigger: 71012 or 71013? 71013 Is -524/41 at most as big as -6? True Are -18135 and -90682/5 equal? False Is 1 at most -56/563? False Which is bigger: 68270/59 or 1156? 68270/59 Is -7/38 bigger than 8/3? False Is 79 < 461? True Is 15085 > 15085? False Which is greater: -35/11007 or -1? -35/11007 Is 1 at least as big as -658/18973? True Does 15 = 498/13? False Is -11665 > -128331/11? True Which is greater: -1 or -2754.5? -1 Which is smaller: 100018 or 100016? 100016 Which is smaller: 0 or -91/2668? -91/2668 Which is greater: 480/10007 or 1? 1 Is -355 <= -509? False Which is bigger: -501/31294 or 0? 0 Which is smaller: 0 or 55/373891? 0 Is -58239 greater than -8? False Is -2036626 greater than or equal to -2036624? False Is 544/9 bigger than -1.836? True Is -1 greater than -5/34194? False Which is bigger: -2959165 or -2959164? -2959164 Is 1726 < 1621? False Which is smaller: -37195 or -37194? -37195 Are 42074/3 and 14025 nonequal? True Is -834 < 6? True Which is smaller: 15307 or -1.4? -1.4 Is 1.72192 less than -0.2? False Which is smaller: 4 or 2181/716? 2181/716 Are 36 and 17998/495 unequal? True Which is bigger: -342292 or -342293? -342292 Which is greater: 33337 or 33332? 33337 Is 229649 greater than or equal to 1? True Which is bigger: -254452 or -254459? -254452 Which is greater: 83 or 2932? 2932 Are -31/32365 and 1 nonequal? True Do -554 and -516 have the same value? False Is -552 greater than or equal to -620? True Which is bigger: -15365 or -15364? -15364 Which is bigger: -60 or 143788? 143788 Which is greater: -4095 or -131065/32? -4095 Which is smaller: -65184/19 or -3431? -3431 Which is bigger: 31486 or 31488? 31488 Which is bigger: -308688 or 2/7? 2/7 Which is smaller: -637452 or -637454? -637454 Does 1 = 9/15559? False Which is smaller: 0.05 or 9.4963? 0.05 Which is smaller: 1/3 or -2.87803? -2.87803 Does 3 = 2661? False Which is smaller: 0.068 or -0.1768? -0.1768 Which is smaller: 100703/5 or -3? -3 Which is bigger: 2/5445 or -0.2? 2/5445 Which is smaller: -1366111 or -1366112? -1366112 Which is smaller: -108597 or 14? -108597 Which is smaller: 9/934057 or -1? -1 Which is smaller: 51519 or 51507? 51507 Which is smaller: -179 or 1/36? -179 Is 1271/1359 bigger than 2? False Which is smaller: -726395 or -726396? -726396 Which is bigger: -46/5 or -491? -46/5 Which is smaller: 1610320 or 1610323? 1610320 Is 1 at least as big as -3/453410? True Is 21850 smaller than 65551/3? True Which is smaller: 10/7 or 3? 10/7 Do 97 and 19 have different values? True Is 0.02 less than or equal to -202224? False Which is smaller: 26337 or 44? 44 Is -8 bigger than -15/64? False Which is smaller: -7064 or -6965? -7064 Which is greater: 415 or 383? 415 Which is bigger: 70800/17 or 4165? 4165 Is -9340 not equal to -9339? True
{ "pile_set_name": "DM Mathematics" }
y 12225081 1/12225081 What is -41923330 divided by -42134? 995 What is -85 divided by -1363106? 85/1363106 Divide -15334 by -1062. 7667/531 -1 divided by -25586566 1/25586566 Calculate -25424640 divided by 5084928. -5 16 divided by 290864 1/18179 What is -208325880 divided by 105? -1984056 What is 814 divided by 509? 814/509 What is 3 divided by 34639061? 3/34639061 416 divided by -39702 -16/1527 14174373 divided by 239 59307 2953074 divided by 4362 677 Calculate 0 divided by 282595325. 0 What is -4 divided by 506155? -4/506155 Calculate 69888598 divided by 338. 206771 Divide -4 by -46700113. 4/46700113 Calculate -65850 divided by -50. 1317 What is -10684874 divided by -17? 628522 Divide 1941 by -2401. -1941/2401 Calculate 44252216 divided by -839. -52744 What is -87135520 divided by 458608? -190 -4 divided by 11731129 -4/11731129 What is -1 divided by -460343? 1/460343 Calculate 57228 divided by 687. 19076/229 -3055 divided by -1163 3055/1163 Calculate -8 divided by 214773. -8/214773 Calculate -27525045 divided by -7. 27525045/7 -844 divided by -2506 422/1253 Calculate 5427858 divided by 3. 1809286 Calculate -63665238 divided by -6137. 10374 What is -14685571 divided by 1451? -10121 What is -60127587 divided by 5? -60127587/5 Calculate 1518 divided by 917. 1518/917 1370 divided by 635872 685/317936 170673100 divided by -260 -656435 What is -112549528 divided by -14068691? 8 What is 24515588 divided by 29644? 827 -101007425 divided by -51143 1975 -10 divided by -12257868 5/6128934 -106045068 divided by -6 17674178 Calculate -114 divided by 1568. -57/784 What is 406912 divided by -272? -1496 What is -5 divided by 1826210? -1/365242 What is -104669 divided by -35? 104669/35 Divide -3 by -65264720. 3/65264720 What is 6745 divided by -1221? -6745/1221 Calculate 602050405 divided by 5. 120410081 66 divided by -38891 -66/38891 Divide -19929803 by -1387. 14369 What is 2733223 divided by -16? -2733223/16 What is 3339 divided by -16433? -3339/16433 What is -32433750 divided by -144150? 225 519175 divided by 154 519175/154 Calculate -113612992 divided by 56806496. -2 7464432 divided by 5 7464432/5 Calculate 20 divided by -140152. -5/35038 Calculate 6937391 divided by -6937391. -1 What is 4 divided by -27173959? -4/27173959 297264162 divided by 6 49544027 Calculate 9459204 divided by -4729602. -2 Divide -16730390 by -3346078. 5 Divide -129308 by 16. -32327/4 -77457856 divided by -33736 2296 -15864036 divided by 15864036 -1 Divide -24981984 by -12490992. 2 -30115820 divided by -6023164 5 What is -528359296 divided by -1216? 434506 Divide -8641268 by 30427. -284 Calculate -20 divided by -134284. 5/33571 24 divided by -2355888 -1/98162 Calculate 1 divided by -10152226. -1/10152226 What is 118097100 divided by 596450? 198 Divide -4698516 by -91. 4698516/91 4898 divided by -389 -4898/389 Divide 26668860 by -1172. -22755 Calculate 160775100 divided by 15. 10718340 What is 2556 divided by -571? -2556/571 What is -350316 divided by 12? -29193 -300 divided by 389148 -25/32429 What is -955189 divided by 70? -955189/70 Calculate -18 divided by -538773. 6/179591 -1649256 divided by 7 -235608 Calculate 5 divided by 34341854. 5/34341854 Divide 13766520 by 10. 1376652 Divide -62801667 by -2517. 24951 Divide -3633246 by -201847. 18 Divide -65061 by 1669. -65061/1669 Calculate 1201800 divided by -6. -200300 3934 divided by 4142 1967/2071 What is -16610528 divided by -15? 16610528/15 1321651 divided by -163 -1321651/163 Calculate 192558958 divided by -298. -646171 1 divided by -1046612 -1/1046612 Calculate -4 divided by -96579013. 4/96579013 Divide 43528043 by 1. 43528043 Calculate 6672211 divided by -2. -6672211/2 10229680 divided by -1420 -7204 What is 494596 divided by -104? -123649/26 -546800844 divided by -6 91133474 -1 divided by 1405519 -1/1405519 -20223175 divided by 4044635 -5 What is 897512 divided by 94? 9548 -62356878 divided by 54 -1154757 Calculate 11507264 divided by -179801. -64 6 divided by -33612264 -1/5602044 What is -1 divided by 4013497? -1/4013497 -494946 divided by 57 -164982/19 What is -6040778 divided by -1? 6040778 What is -135755802 divided by 248637? -546 Divide 275197125 by -1572555. -175 Divide -120687868 by 14. -8620562 Divide -1337 by 983. -1337/983 Divide 9961776 by -9. -1106864 Calculate 394624 divided by 8. 49328 2305308086 divided by 2 1152654043 0 divided by -95607 0 Divide 27938174 by -6791. -4114 -5 divided by 396492 -5/396492 Calculate -13 divided by -32828736. 13/32828736 Divide -47977226 by 2662. -18023 What is -4513485 divided by -137? 4513485/137 Calculate 5937617 divided by 12. 5937617/12 Calculate 0 divided by -139489811. 0 Calculate 5 divided by 11024888. 5/11024888 11887796 divided by 409924 29 6053718 divided by 4107 1474 Divide -782320 by 93. -782320/93 Calculate 291279207 divided by 307581. 947 Divide -2990041 by 3. -2990041/3 -5211825 divided by 82 -5211825/82 What is 50805720 divided by -6? -8467620 -3785675 divided by -20 757135/4 2 divided by 9876268 1/4938134 Divide -413868884 by -22. 18812222 Divide -95938076 by 26. -3689926 -17262 divided by 61 -17262/61 Divide 4700280 by 780. 6026 Calculate 18253941 divided by -6084647. -3 Divide 1620721 by -13. -1620721/13 7047872 divided by -1376 -5122 -32561888 divided by 8 -4070236 What is -133403 divided by -10? 133403/10 Divide 7186074 by 86. 83559 Calculate 48967590 divided by 210. 233179 What is -1757108 divided by 3266? -538 What is -293 divided by -588460? 293/588460 494095560 divided by 20840 23709 Calculate 8740389 divided by 1113. 7853 Calculate 1065010695 divided by -5. -213002139 Divide 531 by 172187. 531/172187 Calculate -73471653 divided by 3. -24490551 What is -5241168 divided by -816? 6423 What is -16379 divided by 6171? -1489/561 63392760 divided by -66870 -948 Calculate -1124 divided by 16561. -1124/16561 Divide 410816542 by 1378579. 298 4 divided by -21264 -1/5316 Divide -241016 by -4. 60254 Divide 18177625 by 18177625. 1 -3403061 divided by 3403061 -1 What is 13171 divided by 5034? 13171/5034 Divide 1482529 by 341. 1482529/341 Calculate -74942868 divided by -68629. 1092 Calculate -2248 divided by 170513. -2248/170513 What is 2182050 divided by -145470? -15 Divide 856674742 by 1078. 794689 61876212 divided by 5156351 12 -74806674 divided by 6 -12467779 What is 0 divided by -11772329? 0 Divide -10477896 by -426. 24596 Calculate 37 divided by -393324. -37/393324 Divide 14704492 by 3. 14704492/3 Divide 25161948 by -25161948. -1 What is 3067347 divided by 5? 3067347/5 Divide 43847 by -11196. -43847/11196 What is -771683280 divided by 6430694? -120 Calculate 8694180 divided by -10. -869418 Calculate -6355245 divided by -545. 11661 11422 divided by -575 -11422/575 Divide -477202220 by -1. 477202220 What is -2372 divided by -985? 2372/985 Calculate 1 divided by -44964355. -1/44964355 What is -3753 divided by -947? 3753/947 Divide 45396 by 597. 15132/199 Calculate -85 divided by -3811005. 17/762201 What is 248745841 divided by -3? -248745841/3 -1115 divided by 639569 -1115/639569 What is 226584483 divided by -17? -13328499 Calculate -13168374 divided by 2579. -5106 Divide -1794552 by -1794552. 1 Divide 11 by 15247546. 11/15247546 What is 132417710 divided by 9662? 13705 -30974 divided by 8 -15487/4 -305642 divided by -1009 305642/1009 Calculate 15175848 divided by -13. -15175848/13 What is -63000810 divided by 15? -4200054 9317265 divided by 3105755 3 Divide 34490975 by -1. -34490975 Calculate 18878496 divided by -224744. -84 Calculate 3551 divided by -9967. -3551/9967 -17411 divided by -336 17411/336 Divide -3015488 by -107696. 28 -13820004 divided by -12 1151667 Calculate 81613525 divided by -203525. -401 Divide 22959635 by 2. 22959635/2 Divide 32479920 by -90. -360888 What is 30498995 divided by -211? -144545 Calculate -2576 divided by -4673. 2576/4673 0 divided by 24892473 0 Divide 1 by -1096296. -1/1096296 Calculate 176575208 divided by -8. -22071901 Calculate -1148 divided by 14347. -1148/14347 -8840580 divided by -1302 6790 What is 163035504 divided by -216? -754794 Calculate -71530553 divided by -257. 278329 What is -128420329 divided by 1031? -124559 Calculate 10609155 divided by 37755. 281 Divide 108479691 by 3740679. 29 Calculate 24118738 divided by 1
{ "pile_set_name": "DM Mathematics" }
7 What is (-16)/(-2464)*21*(-3)/27*-4? 2/33 What is the value of (-1*(-3)/3)/((260/(-30))/(-26))? 3 What is (((-782)/(-115))/(-17))/(16/(-5))? 1/8 Calculate -4*-3*(-35)/90*(-27)/42. 3 (900/30)/(-30)*7 -7 Evaluate ((-381)/(-17526))/((-4)/46). -1/4 What is the value of 18/(-42)*70/(-36)*9/12? 5/8 Evaluate (2*(-10)/(2400/72))/((-26)/(-10)). -3/13 What is the value of (-3)/((2538/(-36))/1)? 2/47 Evaluate ((-4)/3)/(644/138). -2/7 What is the value of -16*1/4*(-99)/132? 3 255/(-17)*(-53)/(-53) -15 Calculate ((-4)/4*(-4)/26)/((-36)/(-117)). 1/2 Calculate 32/32*(-12)/((-36)/(-69)). -23 What is the value of (490/15)/49*(-18)/(-96)? 1/8 Evaluate ((-8)/10)/((21/315)/(33/18)). -22 Evaluate (8/(-6))/((144/(-12))/(-144)). -16 What is ((-310)/186)/(1*(-5)/36)? 12 Calculate -24*(-23)/276*-4. -8 What is 33/(-990)*-10*30? 10 Calculate 18/6*(-102)/867*-17. 6 What is ((-3)/(-6)*6)/((-75)/(-475))? 19 ((-6)/(-2))/(327/436) 4 What is ((2/(-7))/(20/28))/((-2)/(-70))? -14 What is 24/2970*33*10/3? 8/9 What is the value of (-195)/9*63/(-105)? 13 What is ((-702)/630)/(-13)*5? 3/7 Calculate (28/399*19*(-6)/(-92))/(-2). -1/23 ((6/260)/((-30)/40))/(4/20) -2/13 Evaluate (((-6)/5)/(-3))/(9*2/(-6)). -2/15 (3/45)/((-131)/393) -1/5 What is ((8/6)/2)/(-5*49/(-1225))? 10/3 What is (-24)/(-4)*(920/16)/(-23)? -15 What is the value of (0/((-8)/2))/(24/(-12))? 0 Evaluate 25/(-10)*25/(2750/44). -1 What is the value of (-13)/((-260)/60)*((-14)/6)/1? -7 What is the value of (1/((-4)/(-4)))/(742/(-212))? -2/7 Calculate (-1320)/(-110)*1/4. 3 What is ((6/8)/((-186)/248))/(14/6)? -3/7 Calculate 960/640*(-20)/(-3)*-1. -10 Evaluate (-2)/(-126)*9*-1*63/(-51). 3/17 What is the value of 1130/(-1356)*((-70)/(-25))/((-2)/1)? 7/6 60/(-9)*4*(-39)/208 5 (6/7)/(106/1113) 9 What is the value of (-18)/(-1020)*-12*(-575)/(-345)? -6/17 What is the value of (32/8)/20*-9*(-2)/(-6)? -3/5 What is (-2)/(-3)*651/(-28)*2? -31 Calculate 3120/312*1/2. 5 Calculate -4*(-213)/(-1562)*1/9. -2/33 Evaluate ((-159)/106)/((-10)/4). 3/5 (3/(-2))/(355/(-142)) 3/5 What is the value of (-12)/32*(-48)/(-4)*12/(-9)? 6 (26/7)/((-280)/392)*(-25)/10 13 What is (-2)/14*(-6244)/1338*(-60)/2? -20 Evaluate (1563/1042)/((-1)/6). -9 Calculate ((4830/(-63))/(-23))/(1/6*4). 5 What is the value of ((-1)/3)/((18816/(-216))/(-49))? -3/16 54/(-81)*(-609)/(-14) -29 What is the value of (-926)/(-20372)*1/(-1)? -1/22 Calculate ((-30)/(-35))/(((-165)/308)/(-5)). 8 Calculate (3/(-4)*18/(-27))/(68/1224). 9 Calculate (14/(-20))/((-98)/56)*35. 14 ((7*(-3)/8)/(-2))/(36/(-48)) -7/4 ((-48)/36)/((8/50)/(60/100)) -5 What is (1/2)/(((-45)/(-325))/((-468)/390))? -13/3 Evaluate 39*(-16)/(-4680)*-2. -4/15 -2*27/(-12)*-12*1/63 -6/7 What is 29/(986/51)*28/(-6)? -7 Evaluate (((-2)/2)/(27/(-162)))/(5/1). 6/5 Calculate ((-1)/30)/(12/(-144)). 2/5 -52*2*(-3)/(-24) -13 Evaluate 9/(2*(-2)/6*3720/496). -9/5 Evaluate 4*4/16*2*10/490. 2/49 (2484/(-1104))/(1/(-8)*2) 9 What is the value of -29*(-26*40/(-520))/(-1*2)? 29 What is 4/(-27)*(-900)/600? 2/9 What is 18/(-4)*2128/(-798)? 12 ((-8)/35)/(302/(-1057)) 4/5 What is (3/(-20))/((-105)/3080)*5? 22 What is the value of (-1144)/715*(-10)/(-56)*-2? 4/7 (0/19)/(12/3) 0 Calculate (48/45)/((-4)/(-20))*15/(-5). -16 What is the value of (1*(-5)/1)/(50/(-40))? 4 (82/4715)/(7/35) 2/23 Calculate ((-396)/660)/(-2*5/(-400)). -24 What is (-38)/(-38)*(-1)/2? -1/2 ((-34)/(-8500)*-5)/(1/4) -2/25 (-240)/(-180)*-2*276/32 -23 4/((18/6)/(-3)*(-1)/(-1)) -4 What is ((-27)/72*4)/(15/28)? -14/5 What is the value of (8/(-10))/(3740/850)? -2/11 Calculate ((-12)/(-80))/(9/(-15))*(-28)/2. 7/2 (6/15)/(-1*56/10) -1/14 What is 3*(-6)/30*6*(-30)/18? 6 60*(-80)/3456*-18 25 What is (57/(-57))/((-7)/(-105))? -15 ((-45)/(-6)*(-12)/105)/(924/(-392)) 4/11 What is the value of (5120/60)/16*(-6)/(-4)? 8 ((-4)/(60/(72/(-12))))/(2/55) 11 What is the value of 7/(13/52*4)? 7 What is 1*5/5*11? 11 What is the value of (-7*(-6)/(-70))/(112/(-80))? 3/7 Calculate 5/(-3)*75/(-5)*53/(-53). -25 What is ((-1)/4)/(((-11880)/800)/99)? 5/3 What is ((-75)/(-750))/(3/(-18))? -3/5 4*((-117)/(-9))/78 2/3 Evaluate (5/(70/(-64)))/(26/91). -16 ((4/(-6))/(-1))/(58/(-261)) -3 Calculate (12/(-20))/(((-2)/(-6))/((-220)/1386)). 2/7 Calculate ((-165)/(-4620))/((-1)/(-2)). 1/14 ((-14)/(-441))/(11/(132/8)) 1/21 What is the value of (5/(-8)*-2)/(294/(-7056))? -30 What is 9*(48/(-216))/((-2)/(-3))? -3 Calculate 4/(-44)*2*(-3)/27*-9. -2/11 ((-2)/15*6)/(1*406/(-35)) 2/29 What is 100/(-25)*2/7? -8/7 What is the value of 2*-2*(546/1183)/(12/39)? -6 What is the value of (-4)/(20/(-3))*(-127)/(3683/(-435))? 9 What is the value of 18/8*14016/7884? 4 What is ((-1032)/430)/((-608)/(-80))? -6/19 Calculate (1*(-35)/(-21))/((11/(-6))/(-11)). 10 What is the value of (6265/22554)/((-1)/(-2))? 5/9 Evaluate -36*(-4)/32*(-6)/108. -1/4 Evaluate (((-56)/(-4))/(16/6))/(2/(-8)). -21 (-12*9/(-42))/(-8*(-16)/448) 9 (288/5544*-21)/((-5)/11) 12/5 Calculate (-4)/(-26)*(-13)/((-221)/34). 4/13 (25/(2050/82))/(2*1/16) 8 Calculate (368/(-6624))/((-1)/(-15)). -5/6 Calculate (415/12)/83*(-7)/(7/16). -20/3 Calculate (-1708)/(-427)*12/(-4). -12 Evaluate (-40)/64*4*(32/(-12))/4. 5/3 What is the value of ((119/7)/(-17)*(-1)/19)/(-1)? -1/19 What is ((-35)/((-8330)/136))/(((-20)/(-14))/(-1))? -2/5 What is the value of 4/(-4)*(-450)/(-25)? -18 Evaluate 5733/637*(-2)/10. -9/5 Calculate (8/(-572))/(22/(-242)). 2/13 Evaluate ((-13)/(741/19))/(1/(-48)). 16 Evaluate (9/42)/(1/(-14)*8). -3/8 What is (4/3)/((-60)/405)? -9 What is (((-12)/(-70))/(20/25))/(30/(-315))? -9/4 What is the value of -100*((-475)/(-125))/19? -20 Calculate ((90/(-270))/(68/36))/9. -1/51 ((-399)/(-266))/(30/12*(-12)/20) -1 What is the value of ((-5)/(-45)*21)/(120/720)? 14 What is the value of (21*5/(-6))/((-310)/496)? 28 What is ((-8)/3*(-3339)/3180)/((-16)/(-10))? 7/4 What is (-12)/(-171)*((-390)/40)/(-13)? 1/19 What is the value of ((20774/52)/47)/(3*(-3)/(-18))? 17 What is (10/(-16))/(22/((-1452)/165))? 1/4 Evaluate 55744/5360*20/26. 8 ((-320)/(-490))/(2*2/(-14)) -16/7 Calculate (4/240*-9)/(23/(460/(-8))). 3/8 What is 7/((-49)/(-7))*1/2? 1/2 Evaluate ((-5)/2)/((-13405)/(-766)). -1/7 Evaluate 20/(-78)*(-936)/540. 4/9 What is the value of (1331/1331)/((-1)/(-16))? 16 Calculate 110/(-528)*(-6)/(-20). -1/16 What is the value of -1*(-2)/(-4)*(-2320)/116? 10 What is the value of ((-450)/(-10))/5*2/2? 9 Calculate ((-5754)/1233)/(1*2/(-12)). 28 What is ((-18)/((-10)/(-5)))/(18/(54/(-3)))? 9 (2/(-25)*10)/(4/30) -6 Calculate 10/18*12/(-52)*-13. 5/3 ((-52)/(-16))/(23/(-1288)*-14) 13 (-4)/5*198/308*-35 18 Calculate 540/(-3)*(-205)/2050. 18 Calculate ((-3)/4)/((-1329)/23036). 13 Calculate (2768/(-2422))/(60/(-14)). 4/15 Evaluate (-1)/(-2)*-132*(-30)/495. 4 What is the value of (-3)/((944/(-472))/(-4*1))? -6 What is ((-14)/(-196))/(11/154)? 1 Calculate (2/21)/((-416)/5096). -7/6 (170/17)/(((-120)/12)/2) -2 Calculate (66/(-99))/((-2)/3)*-5. -5 What is (-42)/(-140)*(2/8)/((-48)/256)? -2/5 28/162*9*3 14/3 What is the value of (((-95)/19)/(-5))/(1/2)? 2 What is (-7)/8*(-608)/(-1064)? -1/2 Calculate ((-54)/(-6750)*25)/((-10)/(-2)). 1/25 What is ((-20)/240)/(3/2)? -1/18 (162/(-12))/(-9)*-3*6/(-9) 3 Evaluate (1*40/16)/((-55)/(-24)). 12/11 Calculate (-435)/(-174)*(-12)/1275. -2/85 What is 0/(-11*(-20)/110)? 0 Evaluate ((-22)/(-154))/((-16)/(-128)). 8/7 Calculate (228/133)/((-3)/21)*(-9)/(-6). -18 What is ((684/836)/(3/33))/(-1)? -9 Calculate (-1)/(1254/(-165))*12/(-45). -2/57 Evaluate ((-3)/((-60)/(-8)))/(3*(-8)/1560). 26 What is the value of ((-100)/25)/(-1*8/26)? 13 What is ((-21)/(168/8))/13? -1/13 Evaluate ((-68)/(-969))/(((-16)/6)/4). -2/19 What is the value of ((3480/(-144))/(-29))/((9/3)/90)? 25 (9*-1)/(((-1)/2)/((-210)/420)) -9 Evaluate (-3)/(-15)*(-570)/(-76). 3/2 What is the value of ((-88)/(-27))/(-11)*54/9? -16/9 ((150/(-10))/(-15))/((-1)/(-4)) 4 (1134/1890)/(2*3/1) 1/10 What is (-7488)/8736*14*1/39? -4/13 What is the value of ((-8)/(-1))/(2312/(-2023))? -7 Evaluate (3/2)/(15/(-8)*28/(-21)). 3/5 Evaluate (21*(-21)/(-196)*4/(-6))/(-12). 1/8 What is the value of (-1*8/6)/(((-476)/(-17))/(-252))? 12 (15/18)/(-38*(-21)/4788) 5 Calculate (25/(-100))/((-3)/84). 7 Evaluate ((-1)/8*-9)/(5*21/(-70)). -3/4 What is the value of ((-32)/(-112))/((16/(-14))/(-1))*-3? -3/4 Evaluate (2
{ "pile_set_name": "DM Mathematics" }
0? -12000000 Let w = -1.9 + 3. Let y = 1918814.099871 - 1918813. Let v = w - y. Round v to 5 decimal places. 0.00013 Let c be 1692/16*(-7 + 6/2). What is c rounded to the nearest ten? -420 Let w = -14 + -7. Let u = w + 20.9935. Round u to two decimal places. -0.01 Suppose 12 = 4*j - 4. Let p be j*3/(1 + 5). Suppose p*l + 2*l + 2360000 = 0. What is l rounded to the nearest one hundred thousand? -600000 Let r(k) = k**2 - 3*k - 5859063. Let i be r(0). Let y be i/(-21) + 1 + (0 - 4). What is y rounded to the nearest one hundred thousand? 300000 Let k = 3.04 + -3.039165. What is k rounded to 4 decimal places? 0.0008 Let r = -1.2 + 1.29. Let p = 0.089654 - r. What is p rounded to five dps? -0.00035 Let x = 0.0754 + -0.5724. What is x rounded to 2 dps? -0.5 Let v be 3 - 2/2 - 31. Let k be 2 + (-3 - v*63911). Suppose -2*s - 1906582 = k. What is s rounded to the nearest one hundred thousand? -1900000 Suppose -97*z + 94360 = -2*b - 96*z, -b - 47180 = -z. What is b rounded to the nearest ten thousand? -50000 Let p = 9 - -0.1. Let n = -16.8 + p. Round n to the nearest integer. -8 Let k = -33.75 - -0.55. Let m = k + -0.8. Let r = m + 33.99999. Round r to 5 decimal places. -0.00001 Let l be -3 - (-44)/(4/1). Let p = l + -13. Let b be -3 - p - (0 + 3). What is b rounded to the nearest integer? -1 Let x = 46 + -46.000155. What is x rounded to five dps? -0.00016 Let m = -4866811733 - -4866794818.800055. Let q = m + 16915.5. Let p = q + -1.3. Round p to five decimal places. 0.00006 Suppose -h - 8*h + 134100000 = 0. What is h rounded to the nearest one million? 15000000 Let n be (-170)/(-45) - 4/(-18). Suppose u + n*u - 4*h = 1299984, 0 = 4*u - 5*h - 1039980. What is u rounded to the nearest one hundred thousand? 300000 Let x(u) = -323194*u - 254. Let z be x(9). What is z rounded to the nearest 100000? -2900000 Let n = 406 - 372.26. What is n rounded to the nearest integer? 34 Let b be 5/4*(-23 + 3). Let o = b - -27. What is o rounded to the nearest ten? 0 Let o = -22465.980883 + 19451.9810289. Let c = 3014 + o. What is c rounded to 5 dps? 0.00015 Let j = 318.12 - 329. What is j rounded to the nearest integer? -11 Let r(g) = -g - 5. Let s be r(-7). Let i be (3/(-9))/(s/942). Round i to the nearest ten. -160 Let m = -2.438 - -2.4. Let j = m - -0.038248. What is j rounded to 5 dps? 0.00025 Let o = 14285739 - 9486739. Round o to the nearest 1000000. 5000000 Let s = 3380 + -3380.0008445. What is s rounded to 5 decimal places? -0.00084 Let y = -1 - 54. Let h = -1.09550815 + 56.09545915. Let v = h + y. What is v rounded to 5 dps? -0.00005 Let a = 3.99 + -3.9786. What is a rounded to 3 dps? 0.011 Let a = -57043366641 - -57041530041.00115. Let y = a - -1836558. Let s = y - -42. Round s to 4 dps. 0.0012 Suppose -2837 = 2*f - 827. What is f rounded to the nearest one hundred? -1000 Let l = -0.17 + 2.17. Let n = l + -2.0000224. What is n rounded to 6 decimal places? -0.000022 Let n = -2568.01327 + 2568. What is n rounded to four dps? -0.0133 Let w = 594 - 594.01595. Round w to 3 dps. -0.016 Let w = -0.36 - -0.44. Let f = w - -1.12. Let d = f + -1.20021. Round d to four decimal places. -0.0002 Let v = -18218691 + 18218727.999905. Let u = -41 + 78. Let a = u - v. Round a to five dps. 0.0001 Let q = 435.4 - 466. Let n = -17 - -67. Let o = n + q. Round o to the nearest integer. 19 Let j = -0.098 - -0.0979981. What is j rounded to 6 dps? -0.000002 Let a = 35 - 34.9. Let u = a - 0.83. What is u rounded to one dp? -0.7 Suppose 3*f - 5*x + 43535 = 6*f, 4*x + 43526 = 3*f. Round f to the nearest one hundred. 14500 Let i be 3*(-40211169)/(-3) - -1. Suppose f = -3, -2*y + f - i = -y. Let t = 59211173 + y. Round t to the nearest one million. 19000000 Suppose -7*y - 24380002 = -5*y - i, 12189994 = -y - 3*i. What is y rounded to the nearest one million? -12000000 Let s = -22.032 + 0.032. Let b = -21.99999997 - s. What is b rounded to 7 decimal places? 0 Let a = 1071.774742145 - 5146664.774952145. Let m = 5145543 + a. Let l = 50 + m. What is l rounded to four dps? -0.0002 Let r = -49677548 - 39122452. Round r to the nearest 1000000. -89000000 Let i = -33 - 2. Let l = i - -34.99999961. What is l rounded to 7 dps? -0.0000004 Let u = 218.7 - 39.8. What is u rounded to the nearest 10? 180 Let y(j) = 4301*j - 10. Let s(q) = q - 2. Let o be s(5). Suppose c + o*h - 10 = 2*h, 3*h = c - 10. Let p be y(c). Round p to the nearest ten thousand. 40000 Suppose -21*a + 33905921 = 261545921. What is a rounded to the nearest one million? -11000000 Let p = -45097.299696 - -45105. Let l = 7.7 - p. What is l rounded to five decimal places? -0.0003 Let q = 34.312 - 32.5. What is q rounded to one dp? 1.8 Let u = 60.7 + -60.69999208. Round u to seven decimal places. 0.0000079 Suppose 2*i + k + 103399 = 0, 7*i - 5*i + 103395 = -5*k. Round i to the nearest one thousand. -52000 Let p = 106 - 111. Let v be (-48)/p*(-10625)/10. What is v rounded to the nearest 1000? -10000 Let q be (5/(-15))/(2/(-13686)). Suppose 5*s = -14 + 24. Suppose q + 2719 = s*l. Round l to the nearest one thousand. 3000 Let n = 20 - 14. Suppose -8*h + n*h = -1060. What is h rounded to the nearest one hundred? 500 Suppose 2*m = -5*i + i + 145184, m - 72616 = 4*i. What is m rounded to the nearest 10000? 70000 Let t(m) = -6*m - 2*m + 6*m - m - 37036*m**3 - 1 - 2*m**2. Let z be t(3). What is z rounded to the nearest one million? -1000000 Let u = -319.56 - -325. Let m = u + -62.64. What is m rounded to the nearest ten? -60 Let q = -61.36 + 60. Let s = q + 2. What is s rounded to 1 decimal place? 0.6 Let p = 0.0971 - -0.057. What is p rounded to three dps? 0.154 Let f = -6.7 - -21.7. Let t = -7697.007 + 7682. Let d = t + f. What is d rounded to three decimal places? -0.007 Let u = 79479 + -79479.40023. Let s = u - -0.4. What is s rounded to 4 dps? -0.0002 Let z = -133.419 + -0.881. Round z to the nearest 10. -130 Let z = -21217 - -15008. Let o = 1591 - z. What is o rounded to the nearest 1000? 8000 Let i = -0.12 + -0.11. Let k = -0.17 - i. Round k to 2 dps. 0.06 Let v = 17 - 24. Let t = 8 + v. Let i = t - 6.1. What is i rounded to the nearest integer? -5 Let s(i) = -4*i**2 + 4*i + 6. Let g be s(-4). Let m(y) = -2*y**3 - 14*y - 26. Let d be m(-4). Let o = g + d. Round o to the nearest ten. 80 Let o = 5.3 + -1968.3. Let f = o + 1856.3. Let m = 125 + f. Round m to 0 decimal places. 18 Let v = -0.075001414 + 0.075. What is v rounded to 7 dps? -0.0000014 Let p = 176079871853283.6000039 + -176079891110519. Let h = p + 19257237. Let c = h - 1.6. Round c to 6 decimal places. 0.000004 Let a = -1104489 + 745389. What is a rounded to the nearest ten thousand? -360000 Let q = -0.03 - -0.12. Let b = q + -0.08. Let u = 0.0099972 - b. Round u to 6 decimal places. -0.000003 Let o = 1064 - 1064.0003955. Round o to 5 decimal places. -0.0004 Let n = -9 + 19. Let o = 7.2 - n. Let v = o - -9.2. Round v to the nearest integer. 6 Let o = 1308.24 - 1380. Round o to the nearest 10. -70 Let v = 53.166 - 5.226. What is v rounded to zero dps? 48 Let l = 0.2166 + -0.21657257. What is l rounded to six decimal places? 0.000027 Suppose 3092015 = 2*n + 5*t, -21*t - 7729994 = -5*n - 19*t. Round n to the nearest one hundred thousand. 1500000 Suppose -25*s - 4983700 = -6*s. What is s rounded to the nearest 10000? -260000 Let x = 14.7569 - -661.1331. Let l = x - 679. What is l rounded to one dp? -3.1 Let t = -6 + 6. Suppose t = 7*u + 41187113 - 4367113. Round u to the nearest 1000000. -5000000 Let l = -0.356511 - -0.196489. Let f = 0.0521 + -0.2121. Let t = f - l. What is t rounded to five dps? 0.00002 Let g = 5.89597 - 5.89. What is g rounded to three decimal places? 0.006 Let n = -303373 + 539773. What is n rounded to the nearest 10000? 240000 Let a = 713 + -713.857. Let s = a + 0.285. Round s to 2 decimal places. -0.57 Let p = 408.0425 + -407. Let k = p + -17.04162. Let a = -16 - k. What is a rounded to 4 dps? -0.0009 Let a = 0.082 - 1.357. Let j = 1.04 + a. Round j to one dp. -0.2 Let f = 11.1 + -12.223. Let c = f - 7.107. Let b = 9.4 + c. What is b rounded to one dp? 1.2 Let v = -0.17 + 0.15. Let g = v + 16.02. Let n = g + -15.999985. Round n to 5 dps. 0.00002 Let z = 132 - 131.9465. Let t = z - 6.1415. Let m = -6 - t. Round m to two dps. 0.09 Let b = 6253691 - 1753692. Supp
{ "pile_set_name": "DM Mathematics" }
12*x - 34. What is g(10)? -14 Let j(x) = 3*x + 1. Calculate j(6). 19 Let z(x) = -2*x - 51. Determine z(-27). 3 Let r(k) = k**3 + 6*k**2 - 8*k - 8. What is r(-7)? -1 Let g(d) = d**2 + 10*d - 20. Give g(-12). 4 Let l(d) = d - 2. What is l(-2)? -4 Let a(f) = 14*f - 3. Determine a(1). 11 Let u(y) = -4*y**2 + 18*y + 5. Give u(5). -5 Let l(w) = -3*w + 32. Calculate l(19). -25 Let w(u) = -u**3 - 5*u**2 + 8*u - 9. Calculate w(-7). 33 Let d(w) = 5*w - 48. Determine d(11). 7 Let j(n) = n - 53. What is j(0)? -53 Let o(q) = -7*q + 35. What is o(4)? 7 Let i(p) = -11*p + 48. What is i(5)? -7 Let k(a) = -a**2 + 19*a - 34. What is k(13)? 44 Let o(r) = r**3 + 5*r**2 + 4*r + 2. Give o(-4). 2 Let k(s) = -s - 2. Give k(-2). 0 Let l(a) = -a**3 - 4*a**2 - 7*a - 9. Calculate l(-3). 3 Let i(u) = u**3 - 12*u**2 + 12*u - 6. Determine i(11). 5 Let z(d) = d**2 - d - 16. Give z(-13). 166 Let b(f) = f**3 - 3*f**2 + 5*f - 8. Determine b(2). -2 Let r(s) = -5*s - 14. What is r(3)? -29 Let a(s) = s**3 + 5*s**2 - 6*s - 6. Calculate a(-6). -6 Let n(b) = b**3 + 9*b**2 + 20*b + 9. Calculate n(-6). -3 Let l(g) = g**2 - 20. Give l(7). 29 Let r(v) = -v**2 - 75*v - 1159. What is r(-22)? 7 Let f(c) = c**2 - 22*c + 42. What is f(19)? -15 Let p(l) = -170*l + 850. Give p(5). 0 Let h(a) = -42*a**2 + 2*a + 1. Determine h(-1). -43 Let c(m) = 4*m**2 - 16*m - 3. What is c(6)? 45 Let l(k) = k**2 + 17*k + 77. Determine l(-10). 7 Let h(a) = a**3 + 5*a**2 - a + 1. Determine h(-5). 6 Let h(k) = -k**3 - 4*k**2 + 7*k + 1. What is h(-5)? -9 Let f(d) = -17*d. Give f(-1). 17 Let b(y) = -y**3 - 7*y**2 + 6*y - 100. Calculate b(-9). 8 Let r(i) = 5*i + 12. Calculate r(-3). -3 Let y(p) = p**3 + 19*p**2 + 2*p + 39. What is y(-19)? 1 Let v(a) = -21*a - 1. Calculate v(-1). 20 Let p(m) = m**2 - 6. What is p(-3)? 3 Let w(z) = -136*z**2 + 2*z - 1. What is w(1)? -135 Let y(r) = 5*r - 24. Calculate y(5). 1 Let b(x) = -x**3 - 6*x**2 + 12*x - 50. Calculate b(-8). -18 Let x(o) = -o**3 + 11*o**2 - 5*o - 12. Give x(10). 38 Let s(r) = r**2 - 1. Determine s(-1). 0 Let k(h) = -19*h**3 - 4*h**2 + 3*h. Determine k(1). -20 Let g(l) = l**3 - 4*l**2 + 17*l - 77. What is g(4)? -9 Let y(a) = a**2 + 24*a - 48. Calculate y(-27). 33 Let z(n) = n**3 - 16*n**2 + 31*n - 25. Give z(14). 17 Let n(j) = j**2 - 6*j + 14. Give n(4). 6 Let g(a) = a**2 - 13*a - 63. Give g(17). 5 Let j(p) = p**3 - 4*p**2 - 11*p + 2. Calculate j(5). -28 Let q(o) = 7*o - 13. Calculate q(9). 50 Let c(n) = -n**3 - 14*n**2 + 15*n - 1. Calculate c(-15). -1 Let k(j) = 10*j - 11. Determine k(8). 69 Let n(j) = j**3 - 17*j**2 + 11*j + 107. Calculate n(16). 27 Let l(k) = -k**3 - 2*k**2 + 1. What is l(-2)? 1 Let o(u) = -u**3 - 2*u + 37. Calculate o(0). 37 Let w(x) = 4*x**3 - 9*x**2 - 5*x + 5. Determine w(2). -9 Let d(f) = -f**2 + 10*f - 2. Give d(14). -58 Let z(q) = q**2 + 7*q + 9. Determine z(-7). 9 Let x(d) = -24*d**2 + 1. Calculate x(-1). -23 Let j(o) = o**2 + 6*o - 1. Give j(-4). -9 Let h(i) = 77*i**3 - i - 2. Calculate h(-1). -78 Let i(t) = 3*t**2 + 3*t + 3. Calculate i(-2). 9 Let a(s) = -s**2 - 6*s - 52. What is a(-9)? -79 Let h(s) = -s**2 - 15*s - 15. Determine h(-15). -15 Let v(z) = 2*z + 1. Give v(3). 7 Let x(z) = z**3 - 10*z**2 - 38*z - 17. Determine x(13). -4 Let p(v) = v**3 + 5*v**2 - 5*v - 6. Determine p(-5). 19 Let i(w) = w**3 - 18*w**2 - 18*w - 22. What is i(19)? -3 Let n(v) = 13*v + 142. Calculate n(-11). -1 Let k(m) = 2*m**2 - 23*m + 58. Calculate k(8). 2 Let f(a) = -3*a**3 - 15*a**2 - 3*a - 10. Give f(-4). -46 Let j(t) = 11*t - 5. Calculate j(3). 28 Let k(r) = -2*r**2 + 8*r + 6. Calculate k(6). -18 Let x(p) = -p - 23. Give x(-16). -7 Let a(f) = -16*f**3 - 4*f - 6. Calculate a(-2). 130 Let k(h) = -18*h - 27. Give k(-2). 9 Let a(g) = g**3 + 8*g**2 + 37*g + 144. Give a(-6). -6 Let f(v) = 3*v**2 + 10*v + 10. Give f(-7). 87 Let m(z) = -z**3 + 2*z**2 + 3*z - 5. Determine m(-4). 79 Let i(b) = -b**3 + 23*b**2 - b + 17. What is i(23)? -6 Let z(g) = -g**3 - 25*g**2 - 17*g + 162. Give z(-24). -6 Let v(y) = -2*y**2 + 33*y + 15. Calculate v(17). -2 Let a(n) = -11*n - 70. Calculate a(14). -224 Let r(z) = z**2 + 12*z + 27. Calculate r(-9). 0 Let y(n) = -n**3 + 3*n**2 + 6*n - 4. Determine y(4). 4 Let u(r) = r**2 + 7*r + 3. What is u(-6)? -3 Let m(u) = -u**3 + 10*u**2 + 11*u - 17. What is m(11)? -17 Let p(i) = -i. Give p(0). 0 Let b(f) = f**3 + 13*f**2 - f - 29. Determine b(-12). 127 Let m(y) = -67*y - 200. Determine m(-3). 1 Let y(r) = r**2 + 30. What is y(0)? 30 Let n(u) = u**2 - 13*u + 27. Give n(11). 5 Let g(d) = d**3 + 18*d**2 - 44*d - 46. What is g(-20)? 34 Let h(y) = y + 10. Give h(-6). 4 Let q(j) = -8*j - 60. Calculate q(-7). -4 Let l(a) = 4*a - 62. Give l(18). 10 Let w(s) = -13*s + 1. Determine w(-2). 27 Let x(s) = s**3 - 12*s**2 - 8*s - 2. Determine x(13). 63 Let k(y) = -y**3 + 42*y**2 + 43*y - 5. Determine k(43). -5 Let c(y) = -2*y - 22. What is c(10)? -42 Let v(q) = q**2 + q + 2. Calculate v(-2). 4 Let u(l) = 65*l + 256. Give u(-4). -4 Let p(l) = -6*l**3 + l**2 - 5*l + 4. Calculate p(1). -6 Let d(n) = n**3 + 2*n**2 + 6*n + 4. What is d(-4)? -52 Let v(w) = -w**2 - 30*w + 121. Give v(-34). -15 Let z(t) = t**3 + 7*t**2 - 5*t - 4. Determine z(-7). 31 Let i(c) = -8*c - 5. Determine i(-3). 19 Let z(w) = w + 3. What is z(6)? 9 Let o(p) = -14*p**2 + 114*p - 10. Determine o(8). 6 Let i(c) = -c + 22. Calculate i(10). 12 Let k(z) = z**2 - z + 4. Determine k(8). 60 Let b(w) = -w**3 - 18*w**2 - 12*w + 31. Calculate b(-17). -54 Let l(v) = -7*v**2 + 11*v - 5. What is l(2)? -11 Let a(c) = 2*c + 1. Give a(3). 7 Let r(i) = i**2 + 11*i - 4. Determine r(-11). -4 Let z(q) = q**3 - 7*q**2 - 8*q - 8. Give z(8). -8 Let g(a) = -a**3 + 4*a**2 + 14*a - 32. What is g(5)? 13 Let v(c) = 3*c**2 + 2*c + 1. Give v(-3). 22 Let f(l) = l**3 + 5*l**2 - 3*l - 4. Give f(-5). 11 Let i(g) = 8*g + 31. What is i(-9)? -41 Let k(r) = -r**2 + 63*r + 1359. Calculate k(80). -1 Let k(h) = 38*h - 4. What is k(3)? 110 Let h(k) = -k**3 - 4. Determine h(-3). 23 Let t(m) = m**2 - m - 9. Calculate t(-3). 3 Let x(b) = -13*b + 72. What is x(6)? -6 Let n(y) = -y**3 - 5*y**2 - y - 3. Calculate n(-4). -15 Let h(m) = -6*m**2 + 17. What is h(0)? 17 Let x(h) = -13*h + 263. Give x(20). 3 Let n(c) = -c**3 - 3*c**2. Determine n(-3). 0 Let u(g) = -26*g**2 - 2*g - 1. Give u(-1). -25 Let s(t) = -2*t**3 + 15*t**2 + 4*t. Give s(8). -32 Let a(u) = 2*u - 49. Determine a(0). -49 Let l(b) = 4*b + 26. What is l(-7)? -2 Let z(s) = s**2 - 11*s - 8. Give z(10). -18 Let u(d) = -d + 6. What is u(-3)? 9 Let p(a) = -8*a + 38. What is p(7)? -18 Let b(a) = -5*a - 24. Determine b(-8). 16 Let t(u) = u**2 + 2*u - 8. Calculate t(-4). 0 Let g(z) = -6*z**3 + 14*z**2 - 3*z + 2. Calculate g(2). 4 Let z(h) = -3*h**3 + h**2 - 3. Give z(-3). 87 Let d(u) = 12*u. Determine d(-3). -36 Let u(i) = -i**3 + 46*i**2 - 43*i - 94. Give u(45). -4 Let x(g) = -2*g**3 + 14*g**2 - 11*g - 13. What is x(6)? -7 Let y(a) = 4*a + 2. Give y(5). 22 Let d(u) = -u**3 - 18*u**2 + 17*u - 42. Give d(-19). -4 Let q(l) = l**3 + 6*l**2 - l - 13. Determine q(-5). 17 Let a(p) = p**3 - 23*p**2 - 49*p - 11. Give a(25). 14 Let r(u) = 10*u**2 - 2*u + 3. Calculate r(1). 11 Let q(x) = -x**2 + 17*x - 83. Give q(9). -11 Let n(l) = -l**2 - 3*l + 7. Calculate n(-11). -81 Let g(w) = w**2 + 86. Determine g(0). 86 Let y(c) = c + 15. Calculate y(-7). 8 Let r(j) = 15*j**3 + 89*j**2 - 7*j - 3. What is r(-6)? 3 Let d(i) = i**3 - 20*i**2 - 20*i - 20. What is d(21)? 1 Let d(g) = -3*g**2 + 1. Calculate d(-3). -26 Let u(x) = x + 10. Determine u(0). 10 Let p(j) = j**2 + 23*j - 53. What is p(-13)? -183 Let p(m) = m**3 - 2*m**2 + 8*m + 11. Calculate p(0). 11 Let q(g) = 22*g + 354. Calculate q(-17). -20 Let p(y) = -y**3 - 8*y**2 - 7*y - 5. What is p(-7)? -5 Let k(n) = -n**3 - 4*n**2 - 2*n - 4. Calculate k(-3). -7 Let o(z) = z**2 - 15*z - 2. Calculate o(15). -2 Let g(z) = -13*z**3 - z**2 - 3*z + 3. Calculate g(1). -14 Let w(t) = -t + 4. Give w(-3). 7 Let a(n) = -n**2 + 19*n - 43. What is a(3)? 5 Let i(q) = q**3 - 4*q**2 - 2*q - 3. Determine i(5). 12 Let k(t) = 20*t + 101. Calculate k(-5). 1 Let d(l) = -l**3 + 3*l**2 - 1. What is d(2)? 3 Let y(m) = -m**3 + 9*m**2 + 10*m + 5. Determine y(10). 5 Let q(r) = 5*r + 5. What is q(5)? 30 Let q(j) = -j**2 + 12*j - 6. Determine q(11). 5 Let j(r) = 2*r**3 - r**2 - 4*r
{ "pile_set_name": "DM Mathematics" }
23 What is prob of picking 2 e when two letters picked without replacement from {c: 1, m: 5, k: 7, e: 6}? 5/57 What is prob of picking 2 q, 1 y, and 1 m when four letters picked without replacement from nqyemnqbm? 1/63 Calculate prob of picking 1 y and 1 g when two letters picked without replacement from xmrkrxykmgkgxxy. 4/105 Two letters picked without replacement from {m: 7, i: 1, l: 2, n: 1, s: 1, e: 2}. Give prob of picking 1 e and 1 n. 2/91 Four letters picked without replacement from wzwkawzkwkwaakakkazz. What is prob of picking 1 k and 3 z? 8/1615 What is prob of picking 1 w, 1 y, and 1 n when three letters picked without replacement from {w: 2, y: 2, n: 8, t: 3}? 32/455 Two letters picked without replacement from {i: 1, r: 1, f: 2, h: 5}. What is prob of picking 1 r and 1 h? 5/36 What is prob of picking 1 c and 1 a when two letters picked without replacement from aaacaacaac? 7/15 Three letters picked without replacement from {v: 1, t: 1, b: 2, r: 1, l: 1, w: 1}. Give prob of picking 1 r, 1 l, and 1 t. 1/35 Calculate prob of picking 1 v and 1 c when two letters picked without replacement from cgzzgv. 1/15 Four letters picked without replacement from rqqrqqqr. What is prob of picking 3 q and 1 r? 3/7 Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pxjvy. 1/10 Two letters picked without replacement from qztizqiziztqz. What is prob of picking 1 i and 1 t? 1/13 Three letters picked without replacement from ailaaamazslmlls. What is prob of picking 1 a and 2 i? 0 Two letters picked without replacement from {m: 4, z: 5, a: 1}. Give prob of picking 2 z. 2/9 Two letters picked without replacement from {i: 2, f: 2, q: 6, s: 1}. Give prob of picking 1 i and 1 s. 2/55 Two letters picked without replacement from {p: 13, b: 3}. What is prob of picking 2 p? 13/20 What is prob of picking 2 i when two letters picked without replacement from eimweeeiifeww? 1/26 Two letters picked without replacement from {j: 2, v: 1, a: 2, u: 1, b: 6, c: 3}. Give prob of picking 1 v and 1 c. 1/35 Four letters picked without replacement from {w: 6, d: 6}. What is prob of picking 2 w and 2 d? 5/11 What is prob of picking 1 a and 2 w when three letters picked without replacement from byazzwzabbyywsz? 2/455 Three letters picked without replacement from {b: 2, x: 4, o: 4, f: 5}. Give prob of picking 1 b and 2 f. 4/91 Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {r: 1, e: 1, s: 1, b: 1, i: 1}. 1/10 Calculate prob of picking 1 n and 1 r when two letters picked without replacement from nqmttrqqqmtqrqt. 2/105 Three letters picked without replacement from {i: 3, g: 9}. What is prob of picking 2 i and 1 g? 27/220 What is prob of picking 1 i and 1 f when two letters picked without replacement from yufuuiyyyuuuuudfouyu? 1/95 What is prob of picking 1 r, 1 g, and 1 d when three letters picked without replacement from ndqcqrcg? 1/56 What is prob of picking 1 g and 1 e when two letters picked without replacement from {n: 6, g: 6, e: 4, s: 3}? 8/57 Two letters picked without replacement from {f: 7, q: 7}. Give prob of picking 2 q. 3/13 Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, m: 2}. 1/5 What is prob of picking 2 k and 1 s when three letters picked without replacement from {s: 3, r: 2, c: 2, l: 2, k: 8}? 21/170 What is prob of picking 2 l and 1 x when three letters picked without replacement from {d: 5, l: 9, b: 2, x: 3}? 36/323 Three letters picked without replacement from {b: 4, p: 10}. Give prob of picking 3 p. 30/91 Two letters picked without replacement from {f: 2, s: 1, i: 1, y: 1}. What is prob of picking 1 i and 1 f? 1/5 Calculate prob of picking 2 f when two letters picked without replacement from {c: 4, f: 3}. 1/7 Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, q: 1}. 3/4 Calculate prob of picking 2 f when two letters picked without replacement from ffwwgfgwtgf. 6/55 Four letters picked without replacement from {z: 1, x: 1, p: 4, i: 2, k: 7}. Give prob of picking 2 p, 1 x, and 1 z. 2/455 Four letters picked without replacement from qkqqgqqqqkgqqqqgkqqg. What is prob of picking 1 g, 2 k, and 1 q? 52/1615 Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {e: 3, q: 1, v: 1, m: 1, h: 1}. 1/7 Two letters picked without replacement from mvgcmgmxvrcv. What is prob of picking 2 c? 1/66 Three letters picked without replacement from {f: 5, j: 1, p: 1, k: 4, o: 3}. Give prob of picking 1 p, 1 k, and 1 j. 1/91 Three letters picked without replacement from {h: 14, w: 1, r: 5}. What is prob of picking 2 h and 1 w? 91/1140 Two letters picked without replacement from {h: 7, e: 4}. What is prob of picking 2 e? 6/55 Two letters picked without replacement from {s: 5, l: 2, k: 7, m: 3}. Give prob of picking 2 k. 21/136 Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {i: 5, z: 1, n: 1, x: 3, t: 5}. 1/7 What is prob of picking 1 f and 1 s when two letters picked without replacement from {c: 3, s: 4, f: 5}? 10/33 Three letters picked without replacement from qqxqhqhlqqxxxq. Give prob of picking 1 l and 2 x. 3/182 Two letters picked without replacement from guggggguguuggu. What is prob of picking 1 u and 1 g? 45/91 Two letters picked without replacement from txhbq. Give prob of picking 1 q and 1 h. 1/10 What is prob of picking 3 s when three letters picked without replacement from sss? 1 Two letters picked without replacement from zktkkkzkkkkkrkkztkz. Give prob of picking 1 r and 1 t. 2/171 Calculate prob of picking 1 w, 1 n, and 1 m when three letters picked without replacement from rrrrwmnwnrmnmrw. 27/455 What is prob of picking 1 e, 1 a, and 1 v when three letters picked without replacement from {m: 1, v: 5, a: 1, o: 1, e: 1, r: 4}? 5/286 What is prob of picking 3 d and 1 n when four letters picked without replacement from {d: 3, n: 2, i: 10}? 2/1365 What is prob of picking 1 z and 3 e when four letters picked without replacement from zeeezeeezee? 28/55 What is prob of picking 2 n and 1 t when three letters picked without replacement from {t: 3, n: 7}? 21/40 What is prob of picking 4 b when four letters picked without replacement from {b: 10}? 1 Three letters picked without replacement from xqmrqqmxxmqrpqq. Give prob of picking 2 r and 1 q. 6/455 Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {q: 6, p: 1, u: 1, o: 7}. 1/105 Two letters picked without replacement from uuauuauu. Give prob of picking 1 u and 1 a. 3/7 Two letters picked without replacement from cpcc. Give prob of picking 1 p and 1 c. 1/2 What is prob of picking 1 i, 1 l, and 2 s when four letters picked without replacement from {l: 2, q: 2, i: 1, o: 5, s: 6}? 3/182 Two letters picked without replacement from kpppkpppppkppppkppp. Give prob of picking 2 k. 2/57 Three letters picked without replacement from cocceaaccace. Give prob of picking 1 o and 2 e. 1/220 Four letters picked without replacement from xmxxxmxxxkuxuuxx. Give prob of picking 1 x, 2 m, and 1 u. 3/182 Two letters picked without replacement from wwwwtwetlwewewwwwwel. Give prob of picking 1 w and 1 t. 12/95 Four letters picked without replacement from qeeseebb. Give prob of picking 3 q and 1 e. 0 Calculate prob of picking 1 o, 1 m, and 2 v when four letters picked without replacement from {v: 3, m: 1, o: 4}. 6/35 Three letters picked without replacement from {s: 1, y: 1, p: 1, n: 1, v: 1, i: 2}. Give prob of picking 1 p, 1 v, and 1 i. 2/35 Calculate prob of picking 3 d and 1 z when four letters picked without replacement from zdldd. 1/5 Calculate prob of picking 1 k and 1 v when two letters picked without replacement from kqlklvkklvy. 8/55 Three letters picked without replacement from {v: 1, e: 11}. What is prob of picking 3 e? 3/4 Two letters picked without replacement from ylvlv. Give prob of picking 2 l. 1/10 What is prob of picking 1 b and 1 h when two letters picked without replacement from {h: 7, p: 2, b: 2, z: 3, o: 1, g: 5}? 7/95 Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {w: 1, h: 3, r: 4}. 3/14 Two letters picked without replacement from {
{ "pile_set_name": "DM Mathematics" }
*4/11 - 174*y**3/11 + 810*y**2/11 - 2485. What is i in j(i) = 0? 0, 9, 10 Let d be 220/(-25) - -11 - (9 + -4)/25. Let k(x) be the first derivative of -1/27*x**3 + 1/9*x - 33 + 0*x**d. Factor k(i). -(i - 1)*(i + 1)/9 Factor 8/9*q**3 - 8/3*q**2 + 0 + 2/9*q**4 + 0*q. 2*q**2*(q - 2)*(q + 6)/9 Let a = -626857/9 - -69651. Suppose 0 + a*c**4 + 2/9*c**3 + 2/3*c - 10/9*c**2 = 0. Calculate c. -3, 0, 1 Let s(d) be the third derivative of d**6/180 - 3*d**5/10 + 17*d**4/12 + 7*d**3/2 - 75*d**2. Let p(o) be the first derivative of s(o). What is x in p(x) = 0? 1, 17 Suppose -31736*t - 84 = -31764*t. Find q, given that -4*q**2 + 1/2*q**5 - 7/2*q - q**t + q**4 - 1 = 0. -1, 2 Suppose -2*i + 75*a + 1 = 76*a, 5*i - 2*a + 2 = 0. Let m(j) be the first derivative of -1 + 1/6*j**2 + 1/18*j**3 + i*j. Factor m(h). h*(h + 2)/6 Let k(n) be the first derivative of 0*n + 9*n**2 + 10/3*n**3 - 1/12*n**5 - 5/8*n**4 + 3. Let r(z) be the second derivative of k(z). Factor r(u). -5*(u - 1)*(u + 4) Let y(q) be the third derivative of -1/224*q**8 - 3/40*q**5 - 1/80*q**6 + 3/140*q**7 + 117*q**2 - 2*q + 0*q**3 + 0 + 1/8*q**4. Determine w so that y(w) = 0. -1, 0, 1, 2 Let c = 28 + 107. Determine g so that 7*g**3 + 112 - 12*g**3 - c*g + 45*g**2 + 23 = 0. 3 Factor 0 + 12/7*n**3 + 1/7*n**4 + 24/7*n + 5*n**2. n*(n + 1)*(n + 3)*(n + 8)/7 Suppose 792*r**2 - 26620 - 112*r**3 + 1257*r + 99174*r**4 + 679*r - 99170*r**4 = 0. Calculate r. -5, 11 Let r(c) = -c**3 + 6*c**2 - 5*c + 2. Let a be r(5). Let i(l) = -14*l**3 - 3*l**2 - 6*l - 4. Let p be i(-1). Factor -21 + 12*m - 3*m**a + p - m**2. -4*(m - 2)*(m - 1) Let p(y) be the first derivative of -63/5*y**2 - 1/10*y**4 + 60 - 34/15*y**3 + 162/5*y. Solve p(w) = 0 for w. -9, 1 Let u = 6883 - 6883. Let f(k) be the third derivative of -1/210*k**5 - 1/840*k**6 + 0*k**4 + 0*k + u + 17*k**2 + 0*k**3. Factor f(p). -p**2*(p + 2)/7 Suppose 4*c - 4*y - 16 = 0, -2*c + c = 4*y - 14. Let p(g) = -20*g**3 - g**2 - 2*g - 1. Let z be p(-1). Factor -c + 4*l - z + 2 + 3*l**2 + 2*l. 3*(l - 2)*(l + 4) Factor -279 - 1803 - 55*y**2 + 1274*y + 5*y**3 - 1954*y + 562. 5*(y - 19)*(y + 4)**2 Let w(d) be the second derivative of 3*d**4/28 - 373*d**3/2 - 2613*d**2/7 - 1000*d - 1. Factor w(u). 3*(u - 871)*(3*u + 2)/7 Determine d so that -980/13 + 602/13*d - 4*d**2 - 2/13*d**3 = 0. -35, 2, 7 Let v(x) be the first derivative of 5/3*x**3 + 2*x**2 + 3/8*x**4 + 0*x - 53. Find r, given that v(r) = 0. -2, -4/3, 0 Solve 1/2*q**4 - 1202423168*q + 2137008*q**2 - 1688*q**3 + 253711288448 = 0 for q. 844 Let v(h) be the third derivative of -h**7/105 + h**6/15 + 47*h**5/15 - 49*h**4/3 + 33*h**3 + 26*h**2 - h - 2. Factor v(z). -2*(z - 11)*(z - 1)**2*(z + 9) Let j(t) be the second derivative of t**5/4 - 85*t**4/4 + 125*t**3/3 - 646*t. Factor j(p). 5*p*(p - 50)*(p - 1) Let v(w) = -2*w**4 + 22*w**3 + 124*w**2 + 260*w + 180. Let t(b) = -5*b**4 + 67*b**3 + 372*b**2 + 779*b + 543. Let f(i) = -4*t(i) + 11*v(i). Factor f(u). -2*(u + 2)*(u + 3)*(u + 4)**2 Let m be (162/396)/((-5)/(-40)*1). Factor -14/11*p**2 + m - 122/11*p. -2*(p + 9)*(7*p - 2)/11 Let j(l) be the second derivative of 4394*l**6/15 - 5577*l**5/5 - 962*l**4 - 920*l**3/3 - 48*l**2 + 3474*l. Factor j(h). 4*(h - 3)*(13*h + 2)**3 Let f(r) be the first derivative of r**6/420 - r**5/210 - 3*r**4/28 + 3*r**3/7 + 25*r**2 + r + 19. Let x(i) be the second derivative of f(i). Factor x(l). 2*(l - 3)*(l - 1)*(l + 3)/7 Let o(b) be the second derivative of -13/57*b**3 - 108*b + 1/114*b**4 + 0*b**2 + 0. Factor o(q). 2*q*(q - 13)/19 Let j be (((-3)/(-6))/1)/((-2)/(-8)). Determine v so that 18*v**3 + 12*v**4 - 69*v - 108*v**j + 55*v - 3*v**5 + 95*v = 0. -3, 0, 1, 3 Suppose 12485*y**2 + 2236*y + 180*y**4 + 2753 + 2584*y - 7860*y**3 - 2333 = 0. What is y? -1/6, 2, 42 Let d be 2/816*57027 - (-2)/(-16). Let i = 140 - d. Factor -2/17*j**2 - i*j + 0. -2*j*(j + 3)/17 Let k(q) be the second derivative of 11/12*q**3 - 1 - 17/6*q**2 + 1/72*q**4 - 13*q. Determine d, given that k(d) = 0. -34, 1 Let x(c) be the third derivative of -17/45*c**5 - 49*c**2 + 16/9*c**3 - 1/45*c**6 + 0*c + 0 - 7/18*c**4. Factor x(s). -4*(s + 1)*(s + 8)*(2*s - 1)/3 Determine n so that 0 + 4*n**4 + 40/3*n**3 - 176/3*n**2 + 32*n = 0. -6, 0, 2/3, 2 Factor 17453 + 4207 - 163*c + 49*c**3 - 312*c - 130*c**2 - 44*c**3. 5*(c - 19)**2*(c + 12) Let w(g) be the first derivative of g**3/12 + 28*g**2 - 225*g/4 + 1259. Find p, given that w(p) = 0. -225, 1 Let h = -213/280 + 31/35. Let o(d) be the first derivative of 28 + 1/6*d**3 + 1/16*d**4 + h*d**2 + 0*d. What is w in o(w) = 0? -1, 0 Suppose 0 = 4*b - 4*z - 72, -3*b + 556*z - 557*z = -14. Solve -4/3*h**2 + 2/3*h**3 + b - 22/3*h = 0. -3, 1, 4 Find s such that 6412*s - 4*s**2 - 2*s**2 - 350 - 5360*s = 0. 1/3, 175 Let h(t) be the third derivative of t**5/330 - 43*t**4/132 - 46*t**3/11 + 81*t**2 - 6. Factor h(v). 2*(v - 46)*(v + 3)/11 Suppose -3*o + 6 = -2*o. Suppose 5*r - 2*f - 14 = 0, 2*r - 3*r = -2*f - o. Factor -4*w**2 - 31*w**r - w + 11*w + 25*w**3. 5*w*(w - 1)*(5*w - 2) Let o = 15084/23 + -75328/115. Factor -6/5 + 2/5*g**2 + o*g. 2*(g - 1)*(g + 3)/5 Let j be (-112)/140 - -1*(-567)/(-15). What is y in 14*y**3 - 19*y**2 + 10*y**3 + j*y - 35*y**3 + 12*y**3 + 27*y - 60 = 0? 2, 15 Suppose h = -5*h + 24. Suppose p - 3 = h*v, 7*p - 4*v = 3*p + 48. Factor -8*b**2 - 12*b**3 + p - 30 + 4*b**5 + 15. 4*b**2*(b - 2)*(b + 1)**2 Let i(g) = g + 13. Let y be i(-6). Let z be 0 + 12/(-4) + y. Determine w so that 2*w**2 + 4*w**z - 2*w**3 + 2*w**2 + 10*w**3 = 0. -1, 0 Let v = 226 - 221. Factor n**4 - 367 + 20*n**3 + 19*n**4 + 367 + v*n**5. 5*n**3*(n + 2)**2 Let d(v) be the third derivative of 0 - 1/9*v**3 + 3*v**2 - 1/36*v**4 + 1/720*v**6 + 1/360*v**5 + 0*v. Factor d(j). (j - 2)*(j + 1)*(j + 2)/6 Suppose 105*u = -89*u. Let o(a) be the third derivative of 0 + u*a**3 + 0*a - 1/900*a**6 - 4/225*a**5 + 1/1575*a**7 + 1/15*a**4 - 7*a**2. Factor o(b). 2*b*(b - 2)**2*(b + 3)/15 Determine b, given that 4 - 2/7*b**4 - 30/7*b + 30/7*b**3 - 26/7*b**2 = 0. -1, 1, 14 Suppose 30*w + 50*w - 23*w - 912 = 0. Let f(n) be the first derivative of -1/6*n**3 + 1/2*n**2 - w - 1/2*n. Factor f(h). -(h - 1)**2/2 Let t be (-132)/24 - (-76)/8. Let o(v) be the second derivative of 1/2*v**3 + 0 + 4*v + 0*v**2 - 1/4*v**t. Factor o(q). -3*q*(q - 1) Let f = -265 - -152. Let d = 124 + f. Let y(l) = l**3 - 4*l**2 - 8*l - 4. Let s(w) = -3*w**3 + 11*w**2 + 23*w + 11. Let b(i) = d*y(i) + 4*s(i). Factor b(n). -n*(n - 2)*(n + 2) Let r(g) be the second derivative of 80/3*g**3 - 1/90*g**6 + 8/15*g**5 - 75/2*g**2 + 20*g - 143/18*g**4 + 0. Factor r(d). -(d - 15)**2*(d - 1)**2/3 Let h = 253 + -248. What is w in h*w**2 + 2007 - 587 - 837 - 230*w + 2062 = 0? 23 Let v(c) = c**2 + 27*c + 10. Let r be v(-27). Let u(d) be the first derivative of -3/8*d - r - 1/24*d**3 + 1/4*d**2. Factor u(n). -(n - 3)*(n - 1)/8 Factor -2*x**2 - 1072/5 - 2684/5*x. -2*(x + 268)*(5*x + 2)/5 Suppose 1/3*n**5 + 6 - 22/3*n**2 + 5*n - 16/3*n**3 + 4/3*n**4 = 0. What is n? -6, -1, 1, 3 Solve -2382*t**4 + 32 - 2742*t**4 + 4072*t**2 + 6533*t - 1317*t**3 - 4847*t**3 + 1675*t - 1024*t**5 = 0. -2, -1/256, 1 Let r = -872 + 673. Let m = r + 199. Suppose -c**3 + 4/3*c - 5/3*c**4 - 1/3*c**5 + m + 5/3*c**2 = 0. What is c? -4, -1, 0, 1 Let u be (-150)/((-30)/3) - 11. Let h(f) be the first derivative of -10 - 2/9*f**2 + 0*f - 2/27*f**3 + 1/6*f**u. Factor h(w). 2*w*(w - 1)*(3*w + 2)/9 Suppose 0 = -3*h + 8*x - 13*x - 27, -4*h = x + 2. Factor -13/6*s**2 - 37/6*s + h. -(s + 3)*(13*s - 2)/6 Let z(b) be the third derivative of 14/3*b**4 - 1 + 2/3*b**7 - 8/3*b**3 - 31/15*b**5 + 27*b**2 + 0*b - 11/84*b**8 - 17/30*b**6. Find h, given that z(h) = 0. -1, 2/11, 1, 2 Let k(g) = 8*g**2. Let f(d) = -d + 567*d**2 - 282*d**2 - 275*d**2 + 3*d. Let z(v) = 2*f(v) - 3*k(v). What is i in z(i) = 0? 0, 1 Let m = -6980 - -6984. Let f(c) be the second derivative of -19*c + 1/66*c**3 + 1/165*c**6 + 0 - 1/462*c**7 + 0*c**5 + 0*c**2 - 1/66*c**m. Factor f(z). -z*(z - 1)**3*(z + 1)/11 Solve -18748*h + 464*h**2 + 19610*h - 35*h**2 - h**3 = 0. -2, 0, 431 Let d be -1 - (-41)/((-574)/(-28))*14/16. Let g(f) be the first derivative of 0*f**2 - 3*f**3 + 8 + d*f**4 + 12*f. What is m in g(m) = 0? -1, 2 Determine u so that -12/7*u**3 - 32/7*u + 0 - 16/7*u**4 + 8*u**2 + 4/7*u**5 = 0. -2, 0, 1, 4 Le
{ "pile_set_name": "DM Mathematics" }
to the nearest 1000. 17000 Round -10529.03 to the nearest ten. -10530 What is 0.0000725045 rounded to 7 decimal places? 0.0000725 What is -397031 rounded to the nearest 1000? -397000 Round 479.703 to the nearest one hundred. 500 What is -2394934 rounded to the nearest ten thousand? -2390000 What is -91543330 rounded to the nearest 1000000? -92000000 What is 0.0000011219149 rounded to six dps? 0.000001 Round 0.00629628 to four dps. 0.0063 Round 115.7991 to the nearest 10. 120 What is -0.0036678284 rounded to 5 dps? -0.00367 Round 18719.47 to the nearest 100. 18700 Round -0.00000053249655 to seven dps. -0.0000005 What is 212.08397 rounded to the nearest 10? 210 What is -10562.941 rounded to the nearest 10? -10560 Round 3.777055 to 2 dps. 3.78 What is 22.3702 rounded to the nearest ten? 20 Round 0.0001716 to 4 decimal places. 0.0002 What is 129813 rounded to the nearest one thousand? 130000 What is -62.97885 rounded to the nearest ten? -60 What is 0.0002865513 rounded to four decimal places? 0.0003 Round 0.386789 to 2 dps. 0.39 What is 887381990 rounded to the nearest 1000000? 887000000 Round -968648 to the nearest 1000. -969000 Round 0.0000060333 to 7 decimal places. 0.000006 Round 18.8511 to 0 decimal places. 19 What is 0.0485649 rounded to one dp? 0 What is -41.9379 rounded to the nearest 10? -40 Round -1521.91 to 0 decimal places. -1522 Round 2573366 to the nearest 10000. 2570000 Round -100.517482 to 1 dp. -100.5 Round 3.62512 to zero decimal places. 4 What is -0.24829597 rounded to 5 decimal places? -0.2483 What is 0.00001233799 rounded to six decimal places? 0.000012 What is -0.740964 rounded to one dp? -0.7 Round -12512.41 to the nearest one hundred. -12500 What is 0.003481753 rounded to four decimal places? 0.0035 What is 478545330 rounded to the nearest one hundred thousand? 478500000 What is -2192934 rounded to the nearest 1000000? -2000000 Round -0.058047 to three dps. -0.058 Round 1533122 to the nearest one hundred thousand. 1500000 What is -17691.5 rounded to the nearest one hundred? -17700 What is 20.1585 rounded to 0 dps? 20 Round 1.221069 to 2 decimal places. 1.22 Round 1.9775385 to one dp. 2 Round -0.073255 to three dps. -0.073 Round -3.139386 to two decimal places. -3.14 Round 1207.457 to the nearest integer. 1207 Round 36570710 to the nearest one million. 37000000 Round 0.000004689998 to 6 decimal places. 0.000005 What is 0.0884196 rounded to 3 decimal places? 0.088 What is -4720.72 rounded to the nearest 100? -4700 What is -0.0479863 rounded to 3 decimal places? -0.048 Round 0.1762584 to two dps. 0.18 What is -0.0001587506 rounded to 6 decimal places? -0.000159 Round 0.00000837438 to six dps. 0.000008 Round -0.021377162 to 3 dps. -0.021 Round -0.00002361705 to 6 dps. -0.000024 What is -447344 rounded to the nearest one hundred thousand? -400000 Round 0.4638526 to 3 decimal places. 0.464 Round -0.000047616708 to 7 dps. -0.0000476 Round 0.01657696 to four decimal places. 0.0166 Round -165518 to the nearest one thousand. -166000 Round -0.01746659 to five dps. -0.01747 What is -2658.402 rounded to 0 dps? -2658 What is 0.000009314062 rounded to seven decimal places? 0.0000093 Round -1.7277 to 1 decimal place. -1.7 What is -0.3425854 rounded to four decimal places? -0.3426 Round 0.622289 to one dp. 0.6 What is -288119.4 rounded to the nearest 10000? -290000 What is 6.593019 rounded to zero dps? 7 Round -33.896195 to two decimal places. -33.9 What is -0.21506948 rounded to two dps? -0.22 What is -9.58309 rounded to 2 dps? -9.58 Round -0.826043 to 3 decimal places. -0.826 What is 0.188372581 rounded to 5 dps? 0.18837 What is -0.0001968118 rounded to 7 dps? -0.0001968 What is -111.46451 rounded to one dp? -111.5 What is -54833.65 rounded to the nearest 100? -54800 Round -0.000454825 to six dps. -0.000455 Round -10.414741 to zero dps. -10 Round 157420.9 to the nearest one hundred. 157400 Round -0.00000552225 to 7 decimal places. -0.0000055 Round 1860.874 to the nearest 100. 1900 Round -0.03468707 to three dps. -0.035 Round -648793000 to the nearest 1000000. -649000000 Round 0.0000172658 to 7 decimal places. 0.0000173 Round 0.00283772 to 5 dps. 0.00284 What is 255.7356 rounded to the nearest 10? 260 Round 249.8966 to the nearest integer. 250 Round -0.425602 to two dps. -0.43 What is -135.1927 rounded to the nearest ten? -140 What is -0.0000745396 rounded to five dps? -0.00007 What is 0.1389303 rounded to two decimal places? 0.14 Round -203432.7 to the nearest ten thousand. -200000 Round 77.959 to the nearest 10. 80 What is -0.004409097 rounded to 5 dps? -0.00441 Round 0.7981842 to two dps. 0.8 Round -0.3138529 to 2 decimal places. -0.31 What is 492.4791 rounded to one dp? 492.5 Round 10455426 to the nearest 100000. 10500000 What is 0.001567342 rounded to 6 dps? 0.001567 Round 41890.1 to the nearest 1000. 42000 Round 6343833 to the nearest ten thousand. 6340000 Round 0.00002503875 to five decimal places. 0.00003 Round -1005.306 to the nearest ten. -1010 Round -0.000059501 to five decimal places. -0.00006 What is -117526.1 rounded to the nearest 100? -117500 Round -1172568 to the nearest 10000. -1170000 What is -0.450803 rounded to 1 dp? -0.5 What is 0.00002061188 rounded to five decimal places? 0.00002 Round -0.000003786016 to 6 decimal places. -0.000004 Round -73.342445 to 2 decimal places. -73.34 Round 20157 to the nearest 100. 20200 Round -0.7977327 to 3 dps. -0.798 What is 6030580 rounded to the nearest 100000? 6000000 Round -5.473167 to three dps. -5.473 What is 37570070 rounded to the nearest ten thousand? 37570000 Round -0.0101347154 to 3 decimal places. -0.01 What is 107091.28 rounded to the nearest 1000? 107000 What is 38022660 rounded to the nearest one million? 38000000 What is 0.0060614 rounded to 3 decimal places? 0.006 What is -55.81524 rounded to one decimal place? -55.8 What is -0.0045503767 rounded to 6 decimal places? -0.00455 Round 0.00619601 to five decimal places. 0.0062 What is -0.0002001 rounded to 6 dps? -0.0002 What is 579956 rounded to the nearest 100000? 600000 Round -805.4533 to the nearest 10. -810 What is -225.991 rounded to the nearest 10? -230 What is -5.498726 rounded to 0 dps? -5 What is -0.00884977 rounded to 5 dps? -0.00885 What is -0.00001221875 rounded to 6 dps? -0.000012 Round -7088610.3 to the nearest one million. -7000000 Round -0.3742429 to 3 decimal places. -0.374 What is -0.0000266088 rounded to 5 dps? -0.00003 Round 1040240000 to the nearest one million. 1040000000 Round 5040.918 to the nearest ten thousand. 10000 Round -0.00700007 to 4 decimal places. -0.007 What is 5498.96 rounded to the nearest one hundred? 5500 What is -522.274 rounded to the nearest ten? -520 Round -0.158156 to 4 decimal places. -0.1582 What is 1593242 rounded to the nearest 100000? 1600000 What is 13.957278 rounded to 0 dps? 14 What is -214.6019 rounded to 0 dps? -215 What is 646667 rounded to the nearest one hundred thousand? 600000 Round 195.341 to the nearest integer. 195 What is -397.707 rounded to the nearest 10? -400 What is 393.9101 rounded to 0 dps? 394 What is -0.00161372 rounded to 6 dps? -0.001614 What is 0.4198406 rounded to 1 dp? 0.4 Round -519.155 to the nearest 10. -520 What is 1592354 rounded to the nearest one hundred thousand? 1600000 Round 399697.81 to the nearest one hundred. 399700 Round -0.00362154 to three dps. -0.004 What is 0.000064892524 rounded to five decimal places? 0.00006 What is 0.0000321766 rounded to 7 dps? 0.0000322 Round 0.000039585698 to 6 decimal places. 0.00004 What is -9570.06 rounded to the nearest 100? -9600 Round -1959.9815 to zero dps. -1960 Round 0.0000052897 to 7 dps. 0.0000053 What is 25528.416 rounded to the nearest one thousand? 26000 Round 0.000050267 to 6 decimal places. 0.00005 What is 3909430 rounded to the nearest 1000000? 4000000 What is -11560000 rounded to the nearest one million? -12000000 Round 15.47963 to the nearest ten. 20 What is -613328.4 rounded to the nearest 10000? -610000 What is -67537.4 rounded to the nearest ten thousand? -70000 Round -95049.7 to the nearest 100. -95000 Round -0.12743246 to 4 dps. -0.1274 Round 43.44011 to 0 dps. 43 Round 1702.734 to the nearest 100. 1700 Round -0.09503956 to four decimal places. -0.095 What is 0.00152113 rounded
{ "pile_set_name": "DM Mathematics" }
Let q be (7 + 0)/(2/4). Let i(y) = 15 - 2*y + 8 + 6 + 11*y + 6*y. Is i(q) a composite number? False Let q = -64 + -680. Let g = q + 6383. Is g composite? False Let w = 8944 - 12752. Suppose 8388 = 10*c - 14*c. Let b = c - w. Is b a composite number? True Let b(s) be the first derivative of -3*s**2/2 + 6*s - 22. Let p be b(-6). Is (-358)/(2/p*4*-3) a composite number? True Suppose -4*d + 9*d + 5*w - 191900 = 0, d = 5*w + 38338. Is d a composite number? True Let y = -344619 + 601258. Is y a composite number? False Suppose -2 = -x, -4*v + 1426838 = 4*x - 497054. Is v a prime number? False Let d(o) = 11*o**2 - 32*o - 12. Suppose -100 = 4*l + 2*b, 5*b - 25 = l + 10*b. Is d(l) a composite number? True Let q be (-8)/20 + (2 - (-6206)/(-10)). Let p = 3033 + q. Let x = p - 1695. Is x composite? False Let u(q) = -3*q**3 + 3*q**2 + 3*q + 11. Let v be u(-3). Is 245432/v - (-1)/(-5) prime? False Let u(k) = -2*k**3 - 172*k**2 + 94*k + 1426. Is u(-114) a prime number? False Suppose -5*x + 275*w + 580551 = 279*w, -5*x + 580558 = -3*w. Is x a composite number? True Suppose 3*o = 2*k - 43654, 0 = 3*k - 5*k - 5*o + 43686. Is k a prime number? False Let b be -1 - (-44)/36 - 114/27. Let r(q) = -4 + 7 + 134*q**2 - 38*q**2 + 7*q + 6. Is r(b) a prime number? False Suppose 5*z - c = 4*c + 5, -4*z - 3*c = -25. Suppose z*t + 2*t = 2*t. Suppose t = 3*a - 6*a + 3783. Is a prime? False Let l(d) be the second derivative of 5*d**3/6 + 101*d**2/2 - 24*d + 1. Is l(20) prime? False Let c = 2081413 - 1444354. Is c a prime number? False Let i = -750789 + 1679284. Is i composite? True Let p(o) = -o**3 - o**2 + 1. Let l(k) = -1224*k**3 + 2*k**2 - 33*k + 30*k + k**2 - k**2. Let a(h) = -l(h) - p(h). Is a(1) a composite number? True Let p(o) = -2*o**3 - 14*o**2 - 2*o - 10. Let j be p(-7). Suppose -5*v + 10130 = 4*x, 4*v + 9*x - j*x - 8095 = 0. Is 12/(-8)*v/(-15) composite? True Let k be 64/(-21)*-6 - (-6)/(-21). Let r be 4/k + (-21)/(-27). Is (r - 2)/((-2658)/(-2661) - 1) composite? False Is (((-10)/125)/((-2)/5))/((-2)/(-2803630)) composite? True Suppose -6 = 2*j - 40. Let b = j - 12. Suppose 3*i + 85 = 3*a - 20, -b*i + 10 = 0. Is a a composite number? False Suppose -2*n - 25 = -5*q, -n - 8*q - 8 = -6*q. Let y(t) = -72*t**3 - 20*t**2 - 81*t - 15. Is y(n) prime? False Suppose 10 = m - 3*k, -m - k - 8 = -2*m. Let g(q) = -2*q + 12. Let a be g(m). Is a*((-651)/6 - 2) composite? True Let z be 3/(7/(-49)*-7). Suppose -z*f + 4071 = 5*a, -3*f + 116 = a - 3955. Is f composite? True Let c = -18680 + 89694. Is c a composite number? True Let j(f) = -18*f**3 - f**2 - 3*f - 1. Let w be j(-1). Suppose 8*d = w*d + 143. Let v(c) = -110*c - 33. Is v(d) composite? True Let f = 286 + -282. Is (-2)/(((-36)/873)/f) composite? True Suppose 4*o - 2 - 2 = 3*f, f = 2*o. Let n(q) be the second derivative of -43*q**3/2 + 11*q**2/2 - 6*q. Is n(f) composite? True Let b = 9206 - -717. Is b prime? True Let x be 1/(-2) + (-15)/(-6). Suppose -8*r + x - 2 = 0. Suppose r = -0*z + 2*z - 2518. Is z prime? True Suppose -10*i + 79440 = -6*i. Suppose 36*k - 24*k = i. Is k a prime number? False Suppose 7*x - 5*x - 33 = 5*c, c + 21 = 4*x. Is 2 - -81*(-3 + x) a prime number? True Suppose 0 = 5*o - 2391 - 2309. Let a = -317 + o. Is a prime? False Let j = -17729 - -32234. Is (j + (-6)/3)*(3 - 2) composite? False Suppose 44*v + 41 = 173. Let i(d) be the first derivative of 41*d**2/2 + 6*d + 1. Is i(v) a composite number? True Let t(z) = 126*z**3 + 3*z**2 - 3*z + 9. Let m be t(5). Let s = m + -11114. Is s a composite number? True Let j(a) = 244*a**3 - 3*a**2 + 3*a - 1. Let v be j(1). Let g = v - -128. Is g composite? True Suppose 0 = 50*x - 56*x + 11514. Let d be 3 + -5 + 1 + 3. Suppose -3*j = -d*q + 2973 + 877, -q + x = -3*j. Is q prime? True Suppose 6*m = 10*m + 3*m - 2958907. Is m a composite number? False Let l = 81 + -78. Suppose 3*j - l*c + 22 = -c, 0 = -4*j + 4*c - 28. Is -379*4*2/j composite? False Suppose 0 = -4*t + 12, -3*t - 17 = -d - 8*t. Suppose 2*w = 5*u + 4656, -5*w + d*u = -3*u - 11655. Is w a composite number? False Let q = 143227 - 27740. Is q prime? False Let f be (-2)/(-2) + -4 - 7. Is (-5)/(f/6)*(-14390)/(-6) a composite number? True Let u(j) be the third derivative of j**6/24 - 13*j**5/120 + 3*j**4/8 + 11*j**3/6 - 8*j**2. Let l(s) be the first derivative of u(s). Is l(8) a prime number? False Suppose 0 = -2*s - 95*z + 99*z + 648002, 3*s = 5*z + 971996. Is s a prime number? True Suppose -13*i + 60 = -8*i + 5*x, 4*x + 29 = 3*i. Let w be (6/4)/((-9)/(-336)). Let k = i + w. Is k composite? False Let n = 127911 + -80312. Is n a prime number? True Let u(i) = 81*i**2 - 16*i - 64. Suppose -60 = -7*a - 5*a. Suppose -d = a*x - 20, x + 4 = 3*d + 24. Is u(d) a composite number? True Let h = -66 - -73. Suppose -3248 - 1386 = -h*n. Is n composite? True Suppose 13 = d - 26. Let r be (d/1 + 3)/(-1). Is (0 - 2)*22827/r a prime number? True Let b = 527 + -2139. Let q = -335 - b. Is q a prime number? True Let z(x) = 191*x + 74. Is z(93) prime? True Suppose 11 = 4*t - 0*i + 3*i, t - 2*i = 11. Suppose 9022 = t*s - 1068. Suppose 3*n - 2065 - s = 0. Is n composite? False Suppose 2*t = -6, -2*q - 3*t - 226 = -1803. Is ((-1)/(-3))/(12/(-144)) + q prime? False Let y(c) = -2*c - 8. Let f be y(-16). Suppose -19*n = -23*n + f. Suppose n*q = 302 + 28. Is q composite? True Suppose 4*x = -18*x + 1851832 + 2242302. Is x composite? False Let j(s) = s**3 + 25*s**2 + 22*s - 46. Let k be j(-24). Let f be 8974 + (4 - 4)/k. Suppose 4*l - 11*l = -f. Is l a composite number? True Suppose -22*t + 153 = -45. Is (-8)/(-12) - (-18885)/t prime? True Suppose 7*v - 250 = -75. Suppose 4*t - v*t + 167937 = 0. Is t composite? True Let c(d) = -2*d**3 - 2*d**2 + 10*d - 43. Suppose 8*h + k + 14 = 7*h, -62 = 5*h + 3*k. Is c(h) composite? False Suppose -4*h - 7 = -23, -4*q - 4*h + 56 = 0. Suppose -q = -5*r, 6*n - r - 5467 = 3*n. Is n a composite number? False Let r = -103622 - -221965. Is r composite? False Suppose -16*u + 2*u + 95592 = 0. Suppose -3*f + u = -3*t, -f - 4*t = -0*f - 2251. Is f a prime number? False Suppose 3*n = 36 + 510. Let j = 696 + n. Is j a composite number? True Let l(g) = -109*g**3 - 6*g**2 - 70*g + 135. Is l(-8) a composite number? True Let y(s) = -117*s - 7. Let h(w) = -114*w - 7. Let k(c) = 3*h(c) - 2*y(c). Let a = -32 + 26. Is k(a) composite? False Is ((-494888)/(-20))/(-6 - 4/10*-16) prime? True Let o be -27 - (-2)/(-2 + 0). Let q = o + 31. Suppose -q*n - 2*c = 2*n - 3917, 4*c - 3124 = -4*n. Is n a prime number? False Let i = 82 - 143. Let g = 63 + i. Suppose -g*l + 8649 = 5*z - 6*l, -2*z + 3*l + 3454 = 0. Is z prime? True Suppose -57 = -3*y + 27. Let t(c) = c**3 - 22*c**2 - 12*c + 25. Is t(y) composite? True Let k(w) = -6*w**2 - w - 2. Let r be k(-1). Let b be 20/(-15)*(84/(-8))/r. Is -3 + (7 - 2) - (b + -123) composite? False Suppose -u = -5*w + 184750, 2*w + u + 31786 - 105679 = 0. Is w a prime number? False Let m(t) = 3*t**2 - 15*t - 2. Let f be m(3). Let c(y) = y**3 + 21*y**2 - 26*y + 23. Is c(f) a prime number? False Is (-32)/(-18) + -2 + -10 + (-2167403)/(-63) a prime number? False Suppose 40 = 16*z - 8*z. Suppose 1058 = 5*l + 3*q, z*q = -l + 3*l - 417. Is l prime? True Suppose 5*b - 19 = 36. Suppose 5*k - b*k - 84 = 0. Is ((-1531)/2)/(7/k) a composite number? False Suppose 0 = 4*a + 5*v - 60, -a + 0*a + 2*v = -2. Let u be a/55 + (-53)/(-11). Suppose -3*t + 2*w = -3293, 4560 = u*t + 3*w - 922. Is t a prime number? True Let g(x) = -30*x + 51605. Is g(0) a composite number? True Let w(b) = 241*b**2 + 723*b + 479. Is w(69) a composite number? False Suppose -235*q = -245*q + 582940. Is q composite? True Let t be (-3 + (1 - (-5 + 3)))/(-1). Suppose -3*s - 36 = 3*j, 0 = -s + 2 - t. Is 6/j - 374/(-7) composite? False Let i be 1220/50*1265/22. Suppose 5*m - 4*l = 2*m + 26, -2*m - 3*l = 11. Suppose 155 + i = m*j + 4*u, u - 3931 = -5*j. Is j a composite number? False Let h = -8109 + 4008. Let r(d) = 588*d - 14. Let b be r(11). Let n = h + b. Is n a prime number? False Suppose 5*l + 2*r = 127705, -25553 = -5*l + 4*l + 2*r. Suppose g = -f + 8525, -12*f + 17*f = 3*g - l. Is g a composite number? False Let j = -217 - -207. Is (1774/j)/(220/25 - 9) a prime number? True Is (8 - 1)*(5 + 20231/7) composite? True Is (36/(-30))/((-80)/10044200
{ "pile_set_name": "DM Mathematics" }
8. -(i + 5)*(i + 3377)/8 Suppose 2*n**4 - 2332*n**3 + 4658*n**2 - 2328*n = 0. What is n? 0, 1, 1164 Solve -i**5/3 - 5801*i**4 + 52216*i**3/3 - 11604*i**2 = 0 for i. -17406, 0, 1, 2 Let -q**2 - 8678*q - 8677 = 0. What is q? -8677, -1 Find f, given that -2*f**5/7 - 6*f**4/7 + 8*f**3 = 0. -7, 0, 4 Factor -n**2/3 + 88*n/3 + 368/3. -(n - 92)*(n + 4)/3 Find t, given that t**2/3 + 18178*t/3 + 82609921/3 = 0. -9089 Suppose 2*m**2/5 + 34*m/5 - 36/5 = 0. Calculate m. -18, 1 Factor -5*z**2 - 1120*z - 53040. -5*(z + 68)*(z + 156) Find b such that 5*b**5 - 1675*b**4 + 11560*b**3 - 26300*b**2 + 19680*b = 0. 0, 2, 3, 328 Factor 16*g**4 + 1604968*g**3 + 40249186881*g**2 + 20124292510*g + 2515524025. (g + 50155)**2*(4*g + 1)**2 Factor l**3 + 2981*l**2 + 65075*l - 68057. (l - 1)*(l + 23)*(l + 2959) Factor -i**3/4 + 11*i**2/2 + 221*i/4 - 261/2. -(i - 29)*(i - 2)*(i + 9)/4 Solve -3*j**2 + 351*j - 348 = 0 for j. 1, 116 Suppose 2*l**2/5 - 634*l + 3160 = 0. Calculate l. 5, 1580 Find z, given that -162*z**3/5 - 42300*z**2 + 94024*z/5 - 10448/5 = 0. -1306, 2/9 Factor 5*v**2 + 635*v + 20130. 5*(v + 61)*(v + 66) Solve 3*h**3/8 + 135*h**2/8 - 567*h + 3726 = 0 for h. -69, 12 Suppose 5*b**3 + 1210*b**2 - 15240*b = 0. Calculate b. -254, 0, 12 Factor -v**3 - 41822*v**2 - 334528*v - 669024. -(v + 4)**2*(v + 41814) What is r in 2*r**5/7 - 2516*r**4/7 + 990674*r**3/7 - 125417568*r**2/7 + 4969646208*r/7 = 0? 0, 93, 536 Suppose 4*c**3 - 63140*c**2 + 252496*c = 0. Calculate c. 0, 4, 15781 Factor 4*t**3/5 + 77788*t**2/5 + 31112*t. 4*t*(t + 2)*(t + 19445)/5 Suppose 2*g**2 - 2914*g = 0. Calculate g. 0, 1457 Determine r, given that -2*r**2 - 12632*r = 0. -6316, 0 Factor 4*i**2/3 - 35534*i/3 - 17768/3. 2*(i - 8884)*(2*i + 1)/3 Find m such that m**3/5 - 38912*m**2/5 - 108983*m - 1907374/5 = 0. -7, 38926 Factor 12*s**2 + 28834*s - 33656. 2*(s + 2404)*(6*s - 7) Factor -3*d**2/5 + 13803*d/5 - 27594/5. -3*(d - 4599)*(d - 2)/5 Factor -2*m**4 - 22168*m**3 - 199404*m**2 - 598104*m - 598050. -2*(m + 3)**3*(m + 11075) Determine n, given that 4*n**4/9 + 4*n**3/3 - 676*n**2/9 + 220*n/3 = 0. -15, 0, 1, 11 Find c such that -4*c**4 + 966888*c**3 - 58428558388*c**2 - 116860017456*c - 58430492176 = 0. -1, 120862 Find k, given that -14*k**5 + 44*k**4 + 232*k**3 - 580*k**2 + 358*k - 40 = 0. -4, 1/7, 1, 5 Solve 6*c**3/11 + 552*c**2/11 + 7506*c/11 - 81648/11 = 0. -72, -27, 7 Solve 4*r**5/3 + 128*r**4/3 + 60*r**3 - 1784*r**2/3 + 560*r/3 + 800 = 0 for r. -30, -5, -1, 2 Factor -m**4/5 - 142*m**3/5 - 5177*m**2/5 - 1876*m + 2940. -(m - 1)*(m + 3)*(m + 70)**2/5 Find p, given that -p**5/5 - 2476*p**4/5 + 17*p**3/5 + 42056*p**2/5 - 89116*p/5 + 9904 = 0. -2476, -5, 1, 2 Suppose 4*a**4 - 4940*a**3 + 53884*a**2 - 33684*a - 719712 = 0. Calculate a. -3, 7, 1224 Solve 5*y**2/2 - 41930*y + 175812490 = 0 for y. 8386 Factor 3*o**2 + 192174*o + 3077570523. 3*(o + 32029)**2 Find d, given that 3*d**4 + 1257*d**3 + 26586*d**2 + 153120*d + 266784 = 0. -397, -14, -4 Factor -3*v**2 - 489*v - 5436. -3*(v + 12)*(v + 151) Factor -4*n**3 + 27288*n**2 - 44454660*n - 7189973200. -4*(n - 3485)**2*(n + 148) Let -3*p**2 - 153354*p - 1959787443 = 0. What is p? -25559 Find t such that 5*t**5 - 3190*t**4 - 6425*t**3 + 15970*t**2 + 19200*t = 0. -3, -1, 0, 2, 640 Determine c so that -12*c**4 - 32*c**3 + 2192*c**2 - 6208*c - 5120 = 0. -16, -2/3, 4, 10 Let -14*a**4 + 1244*a**3 - 26832*a**2 - 39420*a + 157950 = 0. What is a? -3, 13/7, 45 Find q such that 2*q**5 + 196*q**4/9 + 220*q**3/3 + 512*q**2/9 - 290*q/3 - 100 = 0. -5, -3, -1, 10/9 Find t, given that -5*t**2 - 37855*t - 604400 = 0. -7555, -16 Find z, given that -z**3/4 - 43*z**2 + 4485*z/4 = 0. -195, 0, 23 Factor -324*s**3 - 75780*s**2 + 8423*s - 234. -(s + 234)*(18*s - 1)**2 What is d in -5*d**3 + 1016765*d**2 - 51692078375*d + 155067084375 = 0? 3, 101675 Factor q**4 - 433*q**3 + 47076*q**2 - 41472*q - 559872. (q - 216)**2*(q - 4)*(q + 3) Factor 8*z**3/7 - 170*z**2 - 298*z/7. 2*z*(z - 149)*(4*z + 1)/7 Let 5*c**5 - 665*c**4 + 24295*c**3 - 143875*c**2 + 148680*c + 317520 = 0. Calculate c. -1, 4, 63 Factor 2*i**2/5 - 15184*i/5 - 30376/5. 2*(i - 7594)*(i + 2)/5 Find v, given that 4*v**5 + 120*v**4 + 564*v**3 - 2368*v**2 - 11568*v + 13248 = 0. -23, -6, 1, 4 Factor -5*s**3 - 733745*s**2 - 26919453120*s - 26918719380. -5*(s + 1)*(s + 73374)**2 Factor -6*s**4/7 + 1008*s**3 - 2779920*s**2/7 + 372340800*s/7 - 2135484000/7. -6*(s - 390)**3*(s - 6)/7 Suppose -f**3/3 + 35038*f**2/3 - 306915361*f/3 = 0. Calculate f. 0, 17519 Let n**3/2 + 3129*n**2/2 + 12484*n = 0. Calculate n. -3121, -8, 0 Suppose -62*h**2/21 - 18650*h/21 + 172 = 0. What is h? -301, 6/31 Factor -k**4/4 - 9379*k**3/4 - 21977335*k**2/4 + 66016443*k/4. -k*(k - 3)*(k + 4691)**2/4 Factor -3*t**2 + 13293*t + 13296. -3*(t - 4432)*(t + 1) Let -2*a**4 - 150*a**3 + 844*a**2 + 3552*a + 2560 = 0. Calculate a. -80, -2, -1, 8 What is s in 578*s**3/9 + 172550*s**2/9 - 780064*s/9 + 291688/3 = 0? -303, 38/17 Determine p so that -5*p**3 + 1510*p**2 - 137280*p + 3310560 = 0. 38, 132 Solve 3*i**4 + 1614*i**3 - 33180*i**2 + 167400*i = 0. -558, 0, 10 Factor o**4 - 102*o**3 + 2885*o**2 - 14304*o + 11520. (o - 48)**2*(o - 5)*(o - 1) Factor 2*t**4/7 + 102*t**3/7 - 1364*t**2/7. 2*t**2*(t - 11)*(t + 62)/7 Solve -q**4/7 + 1374*q**3/7 - 456613*q**2/7 - 10549572*q/7 - 58951684/7 = 0. -11, 698 Factor 4*z**4 + 1208*z**3 + 58240*z**2 + 771456*z. 4*z*(z + 28)**2*(z + 246) Find p, given that 2*p**2 + 15962*p - 47904 = 0. -7984, 3 Determine d, given that -d**2/3 + 380*d/3 - 8875/3 = 0. 25, 355 Find o, given that -o**2/7 - 1146*o/7 - 15615 = 0. -1041, -105 Factor -10*f**3 - 40445*f**2 - 20220*f. -5*f*(f + 4044)*(2*f + 1) Let -45*z**3 + 350*z**2 + 485*z + 90 = 0. What is z? -1, -2/9, 9 Solve -3*y**3 + 375*y**2 + 1563*y - 1935 = 0 for y. -5, 1, 129 Determine y, given that -16*y**4/9 + 5164*y**3/9 - 423668*y**2/9 + 1122560*y/9 + 102400/3 = 0. -1/4, 3, 160 Solve -3*c**5 - 33*c**4 + 369*c**3 + 969*c**2 - 1878*c - 2448 = 0 for c. -17, -3, -1, 2, 8 Find m, given that 3*m**2/7 - 41826*m/7 + 145784523/7 = 0. 6971 Determine j, given that -1569*j**4/2 - 6278*j**3 + 1537*j**2/2 + 6278*j + 16 = 0. -8, -1, -4/1569, 1 Factor 2*v**3/15 - 218*v**2/15 - 376*v/5 - 456/5. 2*(v - 114)*(v + 2)*(v + 3)/15 Suppose -l**2 + 1397*l - 4182 = 0. What is l? 3, 1394 Solve -208*d**4/7 - 620*d**3/7 - 612*d**2/7 - 28*d + 4/7 = 0. -1, 1/52 Factor s**3/6 + 251*s**2/6 + 245*s. s*(s + 6)*(s + 245)/6 Suppose -2*t**5/5 - 8*t**4 + 622*t**3/5 - 372*t**2 = 0. Calculate t. -31, 0, 5, 6 Find q, given that 49*q**3/10 - 70721*q**2/10 - 60672*q/5 - 5202 = 0. -6/7, 1445 Suppose 4*f**3 + 23492*f**2 - 2282880*f + 55010304 = 0. What is f? -5969, 48 Solve -57*i**3/4 - 1249*i**2/4 - 1087*i/4 + 105/4 = 0 for i. -21, -1, 5/57 Solve -2*g**2/11 - 17976*g/11 = 0 for g. -8988, 0 Find q such that -22*q**5/9 - 13292*q**4/9 + 3668*q**3/3 + 69056*q**2/9 + 52042*q/9 + 2420/3 = 0. -605, -1, -2/11, 3 Solve -2*k**2/7 - 20952*k - 293320/7 = 0. -73330, -2 Let -3*r**4/2 + 289*r**3/2 - 375*r**2/2 - 477*r/2 + 95 = 0. What is r? -1, 1/3, 2, 95 Factor 2*z**2 + 642672*z + 51628412448. 2*(z + 160668)**2 Factor -c**3 + 675*c**2 + 43428*c - 89548. -(c - 734)*(c - 2)*(c + 61) Let -2*h**4/17 + 226*h**3/17 - 8274*h**2/17 + 104806*h/17 - 178292/17 = 0. Calculate h. 2, 29, 53 Solve 12*k**5/5 - 26133*k**4/5 + 149982*k**3/5 - 247647*k**2/5 + 16938*k + 39096/5 = 0 for k. -1/4, 1, 2, 3, 2172 Find k such that -8*k**4 - 55372*k**3 + 138472*k**2 - 55392*k = 0. -6924, 0, 1/2, 2 Factor -3*o**2/4 - 177*o/2 - 2394. -3*(o + 42)*(o + 76)/4 Let 25*i**5 - 185*i**4/2 - 311*i**3 - 198*i**2 - 36*i = 0. What is i? -3/2, -2/5, 0, 6 Factor 10828*j**3/9 + 8*j**2/9. 4*j**2*(2707*j + 2)/9 Let 2*n**2 - 512*n = 0. What is n? 0, 256 Factor 5*g**4 + 6085*g**3 + 2174250*g**2 + 82550140*g - 53673504280. 5*(g - 121)*(g + 446)**3 Determine t so that -2*t**2/7 - 17394*t/7 = 0. -8697, 0 Factor -3*n**3/5 + 2499*n**2/5 - 95904*n - 17356032/5. -3*(n - 432)**2*(n + 31)/5 Let 5*s**2 + 696*s - 560 = 0. What is s? -140, 4/5 Factor -3*s**2/7 + 5844*s/7 - 256905/7. -3*(s - 1903)*(s - 45)/7 Suppose -2*a**4 - 6280*a**3 - 4872956*a**2 + 89245080*a - 403905042 = 0. Calculate a. -1579, 9 Let -a**3/6 - 461*a**2/6 - 37975*a/6 - 290521/2 = 0. What is a? -363, -49 Solve h**3/5 - 58627*h**2/5 + 85925196
{ "pile_set_name": "DM Mathematics" }
Let r be (2 - 3/2)*4. Let h(b) be the third derivative of -10001*b**5/60 + b**4/8 - b**3/3 - b**2. Let s be h(r). Round s to the nearest ten thousand. -40000 Let d = 2 - 2. Suppose -2*r + r - 15015 = d. Let x = -5115 - r. What is x rounded to the nearest 1000? 10000 Let h be (8620/(-50))/((-2)/80). Let c be (-16)/12 + h/(-3). What is c rounded to the nearest one thousand? -2000 Let g(i) = -i + 8. Let u be g(6). Suppose 4*r - 28399995 = v, -u*r = -7*r - 2*v + 35500010. Round r to the nearest 1000000. 7000000 Suppose -2*d + 5*d = 224652. Suppose -200000 = 4*a + r, 24884 = a + 2*r + d. Round a to the nearest 100000. -100000 Let b = -682270 - -685957.064. Let g = b + -3674. Let x = 13 - g. What is x rounded to two decimal places? -0.06 Let j = 8 - 8.2. Let t = -0.256 - j. Round t to two decimal places. -0.06 Suppose -2*c - 104 = 3*k, 3*k = -k + 5*c - 154. Let b be 14/8 + k/48. What is b rounded to one decimal place? 1 Let l = 32.83 + -32.9831. Let n = l + 0.163. Round n to three dps. 0.01 Let n = -6998757 + 24998757. Suppose 4*v = -0*v + 12. Suppose v*l = -l - n. What is l rounded to the nearest 1000000? -5000000 Let c = -0.07 - -0.0699984. What is c rounded to six decimal places? -0.000002 Let h = -295.4 + 273. Let o = 2.6 - h. Let y = o - 24.912. What is y rounded to two decimal places? 0.09 Let v(d) be the second derivative of d**4/12 + 11*d**3/6 + 5*d**2/2 + 5*d. Let s be v(-15). Round s to the nearest ten. 70 Let t(s) = 46*s**2 - 6*s + 11. Let v be t(-8). Let z be (-400)/(-2 - v/(-1500)). What is z rounded to the nearest one hundred thousand? -200000 Let b = 148 - 163.2. Let c = b - 2.8. Let r = c - -18.0000078. What is r rounded to six dps? 0.000008 Let f = 0.77 - -0.03. Round f to 1 decimal place. 0.8 Let m(a) = -a**2 + 7*a - 4. Let y be m(5). Let v be ((-15)/10)/(y/8). Let q(h) = 140001*h + 2. Let w be q(v). What is w rounded to the nearest 100000? -300000 Let h = 9 + -7. Let i be -26996 + (-6)/h + -1. Round i to the nearest ten thousand. -30000 Let f = 125.3438 + -128.94. Let d = 3.6 + f. Round d to three dps. 0.004 Suppose -5*q + 2360540 = -3*q. Let n = q + -2070270. What is n rounded to the nearest 100000? -900000 Let k be ((-4)/14)/(7/(-49)). Suppose 9*n + k*d = 4*n - 6000008, -n + d = 1199996. Round n to the nearest one million. -1000000 Let x(v) = 30*v**3 + 2*v**2 - 10*v + 8. Let r = -8 - -14. Let g be x(r). Let w be (22 - -2)*g/(-3). What is w rounded to the nearest ten thousand? -50000 Suppose -4*n = -5*m - 65999985, 0 = n - 4*m + 2*m - 16499994. What is n rounded to the nearest 1000000? 17000000 Let d be 5860115/(-15) + (-1)/(-3). Suppose -4*a + z = 2282695, 0 = -4*z - 2 - 2. Let r = d - a. What is r rounded to the nearest one hundred thousand? 200000 Suppose 2*l = -3*c + 88199994, -4*c - 3*l - 20082998 = -137682989. Round c to the nearest 1000000. 29000000 Let w = -73.0000004 - -73. Round w to 6 decimal places. 0 Let g be (-49199998)/(-3) - 8/(-12). Round g to the nearest one million. 16000000 Suppose -4*n - 4*w - 12 = 0, 0 = n + w - 2*w + 9. Let a be (-375*1)/(n/13280). What is a rounded to the nearest 100000? 800000 Let m = -626154.0539977 - -626154. Let h = -0.33 + 0.276. Let c = m - h. Round c to 6 dps. 0.000002 Let i = 4 + -12.8. Let c = i + 8. Let n = c + 0.80019. What is n rounded to 4 decimal places? 0.0002 Let f be (-18)/12 + 3326/4. What is f rounded to the nearest 100? 800 Suppose 9985 = 2*d + h - 58014, 0 = 3*d - 5*h - 102005. Let w = -14 + 22. Suppose w*a = 4*a - d. Round a to the nearest one thousand. -9000 Suppose -2*l - 49 = -2*b - 163, 2*l - b - 115 = 0. Let w be 1 + -1 + -1 - l. Round w to the nearest 10. -60 Let q = 0.1 + 0.1. Let x = q - 0.20055. Round x to 4 decimal places. -0.0006 Let y = 5.315 - 5. Let o = y - 0.025. Round o to one decimal place. 0.3 Let a = -5774 - -5774.39995. Let d = 19 + -19.4. Let r = d + a. What is r rounded to 5 decimal places? -0.00005 Let t be 2/4*(1 - -7). Suppose t = -2*s + 3*s. Suppose -s*k + 1080 = -6*k. Round k to the nearest 100. -500 Let r = -52 - -52.047. What is r rounded to 2 decimal places? 0.05 Let q = -0.0328 + 0.03501. Round q to 4 dps. 0.0022 Let p = 4 + -4.0077. What is p rounded to 3 dps? -0.008 Let t = -0.5 + 0.50012. What is t rounded to five decimal places? 0.00012 Let d = 3360913354.9859 - 3360694627. Let m = 218704 - d. Let k = m - -24. What is k rounded to 3 dps? 0.014 Let s = 1.3 + -1.6. What is s rounded to one dp? -0.3 Let a = -5 + 9. Let j = 1606336 + -506336. Suppose -o - a*o = -j. What is o rounded to the nearest one hundred thousand? 200000 Let s be ((-75)/(-10))/((-3)/112). What is s rounded to the nearest one hundred? -300 Suppose 3*c + 121 = -77. Let j be (-3)/2 - c/(-4). Round j to the nearest ten. -20 Let d = 124 + -125.43. Round d to 1 dp. -1.4 Suppose -5*q - 65 + 200 = 0. Let c = q + -7. Let b be (-1 - -29501)*c/(-5). Round b to the nearest ten thousand. -120000 Let r = 0.021 + -21.021. Let x = r - -22.3. Let q = -0.41 + x. Round q to one dp. 0.9 Let i = 822.35 + -810.3491. Let w = -31 - -19. Let x = i + w. What is x rounded to 4 dps? 0.0009 Suppose -2136 - 3064 = -2*s. Suppose -s = -n - n. Round n to the nearest 1000. 1000 Let p = 2.97 + 0.03. Let d = -2.999 + p. What is d rounded to three dps? 0.001 Let t = 6.9999936 - 7. Round t to 6 dps. -0.000006 Let h = 5.8 - 2.9. Let g = 2.8999967 - h. What is g rounded to 6 decimal places? -0.000003 Let x = -3 - -1.7. Let g = 1.3028 + x. What is g rounded to 3 decimal places? 0.003 Let o be (-190 + -1)*(1 + -546). Let r = o + 355905. Round r to the nearest one hundred thousand. 500000 Suppose 7 = -2*z + 1. Let a = -1 - z. Suppose -2*i - a*i = 0. What is i rounded to four dps? 0 Let u = 8834316 - 68881816. Let y = -60047500.61000053 - u. Let s = y + 0.61. What is s rounded to seven decimal places? -0.0000005 Let w = -6590446545.10000064 + 6590432612. Let l = 13933 + w. Let p = l + 0.1. Round p to seven dps. -0.0000006 Let g = -0.0568749 + 0.0569. Round g to 6 decimal places. 0.000025 Let d = 0.49700558 + -0.497. What is d rounded to seven decimal places? 0.0000056 Suppose 0*j - j = 3823636. Let h = j + 5543636. Round h to the nearest 100000. 1700000 Let r = 826 + -833.89. What is r rounded to the nearest integer? -8 Let k = 12768442.00067 - 12768585. Let g = k - -143. What is g rounded to four dps? 0.0007 Let u = 0.22 + -0.163. Let b = 12.03 - 12. Let p = u - b. Round p to two decimal places. 0.03 Let t = -4 + 4.063. Round t to 2 decimal places. 0.06 Suppose 2*x + 8 = 0, 2*z + 0*z = 4*x - 2164. Let n be -2 - (-2)/((-4)/z). Suppose v - n = 197. Round v to the nearest one hundred. 700 Let o be (3600/(-7))/(2/(-70)). What is o rounded to the nearest ten thousand? 20000 Let v = -28.9895 - -29. Round v to three dps. 0.011 Suppose 0 = t - 0*t + 2*h - 338, h + 691 = 2*t. Suppose 5*s - t = 4*f - 9, -3*f = -3*s + 249. Round f to the nearest one hundred. -100 Let u = 0.119098 + -0.119. Round u to five dps. 0.0001 Let n = 0.049906 + -0.05. Let h = -12 + 12. Let s = h - n. What is s rounded to five decimal places? 0.00009 Let y = -2.885 + -2431.115. Let s = 2246.9 + y. Let f = 196 + s. Round f to the nearest integer. 9 Let p = 219 + -137. Let l = p - 82.000078. What is l rounded to 5 dps? -0.00008 Let h = 3.52 - 4.2. Let k = -0.6799959 - h. Round k to 6 decimal places. 0.000004 Let c = -0.5 + -10. Let f = 16686.573 - 16676. Let o = c + f. What is o rounded to 2 dps? 0.07 Let v be (-3 - 0)/((-21)/28). Suppose -v*y = -5*y + 160000. Round y to the nearest 100000. 200000 Suppose -4 + 1 = -3*t - 5*r, 5*r = 0. Let g = t - 1. Suppose g*c - c = 650000. Round c to the nearest one hundred thousand. -700000 Let z = -9.1 - -9.10000037. What is z rounded to 7 decimal places? 0.0000004 Let o = 13 + -13.056. What is o rounded to 2 dps? -0.06 Let m = 4 + -3.7. Let d = 0.29 - m. Let g = d - -0.0100056. What is g rounded to six dps? 0.000006 Suppose -p + g + 919997 = 2*g, -4*p + 3679991 = 3*g. Round p to the nearest one hundred thousand. 900000 Let x = 1 + 0.4. Let s = -1.40056 + x. What is s rounded to 4 decimal places? -0.0006 Let i = 11 - 3. Round i to zero dps. 8 Let s = 13.96 - 14. Let u = -6959.03941 - -6959. Let b = s - u. What is b rounded to 4 dps? -0.0006 Let j = -454 + 494.8. Let i = j - 26.7. What is i rounded to the
{ "pile_set_name": "DM Mathematics" }
ate -12.51103319 + 49.09. 36.57896681 What is the distance between -18850211814 and -1015? 18850210799 What is -1685 minus -1305081033? 1305079348 What is 4.6 minus -807257374? 807257378.6 Sum -5 and 251871585335.5. 251871585330.5 What is -4.6214 plus 2106.069? 2101.4476 Add 71653 and -135385381.3. -135313728.3 Add together 36721950466 and 0.5. 36721950466.5 Work out 0.199702 + 527205.105. 527205.304702 -312626657629+-8 -312626657637 -1095+411885.636783 410790.636783 Calculate 19.2968 - -8474272. 8474291.2968 What is the distance between -28 and 18099360786.8? 18099360814.8 Subtract 1.045384601 from 83. 81.954615399 What is 0.22213165 less than 15777.66? 15777.43786835 What is -73365 minus -139.36? -73225.64 What is -7115988 minus -59.31? -7115928.69 Calculate -17.67002 - 34.68212. -52.35214 What is 0.0608399742944 take away -4? 4.0608399742944 Calculate -6911802290659 - -0.5. -6911802290658.5 Total of -0.12 and -0.0319469373252. -0.1519469373252 Sum 499008369 and -0.2739. 499008368.7261 Calculate -5 + -22.96075118751. -27.96075118751 Work out -2.7 + 19015353040136. 19015353040133.3 What is -1.4 minus 99.3763378611? -100.7763378611 Add together -1100124.7732 and 69. -1100055.7732 What is 0.52 take away -31742.76987? 31743.28987 Calculate -3101595322 - -2036. -3101593286 Total of -93514.60438156 and 6. -93508.60438156 What is the distance between 1415735611451 and -0.75? 1415735611451.75 Work out -2327805541614 - 0. -2327805541614 What is the distance between -15949 and -1.026642? 15947.973358 What is 0.2034831081 plus 0.7? 0.9034831081 What is 171.036 minus -5851514.22? 5851685.256 What is 0.04771 plus 4433.777? 4433.82471 Subtract 159.58198 from -3197. -3356.58198 What is -84.293850419 plus -908? -992.293850419 Work out -4.08 + -1360.31934. -1364.39934 What is -20 minus -787608530564? 787608530544 What is 4 less than -1164063186640? -1164063186644 -719869534384 - 2 -719869534386 What is the distance between 41.38668 and -12273773? 12273814.38668 Calculate 0 + 135691504531. 135691504531 -11362673902 + -27 -11362673929 Add together 0.14194 and 48626.192. 48626.33394 Add together -169426610315 and -38. -169426610353 Work out -21747725 + 194.093. -21747530.907 51040641508809 + 4 51040641508813 207279.28179801 + -8 207271.28179801 What is -2565726814 take away 0.5851? -2565726814.5851 Sum 4.567 and -4702032.41. -4702027.843 Put together -0.13 and 243367.36431. 243367.23431 What is -98290798.27848 + 0.4? -98290797.87848 Sum -66260212663205 and -0.09. -66260212663205.09 What is 0.19 minus 38191103592? -38191103591.81 What is the difference between 27.3 and 328204886? 328204858.7 What is the difference between 315011080.842187 and -4? 315011084.842187 Sum -15596 and 12997017588. 12997001992 Add 571090450 and 35. 571090485 Calculate -1.4 + -10467830852.424. -10467830853.824 What is -3 minus -24746742382655? 24746742382652 Calculate -1017 + -4303422462.9. -4303423479.9 What is -0.347554 minus 1416577.81? -1416578.157554 Sum 5081998392 and 10. 5081998402 Calculate -14.39 - -1.457782319. -12.932217681 Add together -37.1 and -0.0438408315589. -37.1438408315589 What is the distance between 2375878.4 and 161875? 2214003.4 Put together -5066856124 and -666. -5066856790 What is -0.094 less than 3168918.397? 3168918.491 Calculate 1645446642 + 363. 1645447005 Subtract -15824321.3011 from 0.624. 15824321.9251 Work out 9 - -1935185770.05. 1935185779.05 What is 876133309779 minus -0.3? 876133309779.3 -9557489169 + 0.51726 -9557489168.48274 What is the distance between -0.31038969547 and 14? 14.31038969547 Work out 0.1 - 402392337632. -402392337631.9 Add together -18 and 1696985.7738999. 1696967.7738999 Sum -3 and -1.6399567543. -4.6399567543 -1014 - -35394.246601 34380.246601 7314707.55 + 2324112 9638819.55 What is -5291.5552042 take away 484? -5775.5552042 What is the difference between 0.34 and 375104395316? 375104395315.66 What is 84039.98 less than 140491? 56451.02 What is the difference between -1.12 and 30232112350? 30232112351.12 Add together -236 and 66660.2578946. 66424.2578946 Put together -240132400 and -3.637. -240132403.637 3 - 411872839.8184 -411872836.8184 Work out 11 - 15.8223794551. -4.8223794551 Calculate 5280711989419 - 0.3. 5280711989418.7 Add together -5695.595 and -720570. -726265.595 0.38 - 3593992574709 -3593992574708.62 What is -18889742985956 - 25? -18889742985981 What is 11514 minus 20400279410? -20400267896 Add 20329.22932 and 74. 20403.22932 What is 27 less than -3755179395? -3755179422 What is 2.55 take away 123819.392? -123816.842 What is -1638379 minus 1646.06? -1640025.06 What is 1859493.8 plus 0.1809? 1859493.9809 -44.6 - 219617253 -219617297.6 What is -0.05521 less than 6.299527? 6.354737 Sum -4869166.5 and -1.3665. -4869167.8665 Add together -12582.6243394 and 2. -12580.6243394 What is 1144266.802 less than 696? -1143570.802 Add -2 and 1983417194759. 1983417194757 What is 0.03 minus 8854343.09178? -8854343.06178 Total of 60894710 and 39157. 60933867 2575.9902641+-2 2573.9902641 Work out 0.4 - 3980566365877.7. -3980566365877.3 What is -11569445368 minus -71? -11569445297 0.031 - 5231739638399 -5231739638398.969 What is -8147 plus -207134.875? -215281.875 Subtract 104 from 61867757620. 61867757516 Total of -94348.94766 and 0.076. -94348.87166 What is -142 take away 0.0312815094864? -142.0312815094864 What is -830231 + 135936? -694295 Add -312 and 1778.969201. 1466.969201 Calculate -400.713883033 - 47. -447.713883033 Sum 1546422 and 108.6061. 1546530.6061 What is 105 minus -253.872087985? 358.872087985 Calculate -33144.8 + 4485.28649. -28659.51351 Put together 68914.0433816 and -3. 68911.0433816 Work out -688.57804332 - 6.5. -695.07804332 What is -0.0419 + -884876.9095? -884876.9514 Put together -5377676814493 and 1. -5377676814492 Add together -0.26366 and -78973628. -78973628.26366 What is -22266827 plus 21.628? -22266805.372 306594192 - 487 306593705 Subtract -11.88419732 from 3.3. 15.18419732 1.4 - -75455913469 75455913470.4 Add together 6267 and 7610742571. 7610748838 What is -3331504989219 - -0.04? -3331504989218.96 What is -0.197 take away 57816094? -57816094.197 Work out 5.8 + -125116597533. -125116597527.2 Put together -14.656 and -427900777. -427900791.656 What is -28.4 take away 120752740006? -120752740034.4 -15.4378984204 + 5 -10.4378984204 Work out -3567386552697 + -4. -3567386552701 Add 0.5 and 35601.52507859. 35602.02507859 3 + -1111273945.84 -1111273942.84 Calculate 4.08545463 + 8.2. 12.28545463 What is -45843.21 plus -215512591? -215558434.21 What is -414959045698 minus 0.23? -414959045698.23 Put together 1817300887 and 2710. 1817303597 Sum -6008354.7843 and -696. -6009050.7843 Calculate 0.04 + -486421525085. -486421525084.96 -938142.047 - 179 -938321.047 What is 1 + -738365833493? -738365833492 Sum 0.009 and -10435478938366. -10435478938365.991 What is the distance between -277816621 and 7382? 277824003 Add 128416.352768 and 1265. 129681.352768 -8204243.33 + -7.595 -8204250.925 Add -64867.9 and -93047.92. -157915.82 Sum -71068.636651301 and 0.5. -71068.136651301 What is -76747193 take away 1128.13? -76748321.13 Add 0.0905972 and 14079. 14079.0905972 Add 1186177 and 120858.38. 1307035.38 263+8645957224 8645957487 What is -418918.6643073 - 0.1? -418918.7643073 What is -0.014414270611101 less than 0? 0.014414270611101 Calculate -75391272.41 - 1352. -75392624.41 What is -0.1 take away 1900884902? -1900884902.1 -916 - 48482596877 -48482597793 Sum -7 and -433811949. -433811956 Total of 5635.48346 and 0.19587. 5635.67933 Put together -20 and -98118422200. -98118422220 What is -5060 minus 15519.23? -20579.23 Subtract -0.1 from 10810075176133. 10810075176133.1 Calculate 4 - 1361211531. -1361211527 Subtract -20.4 from 0.24679738647. 20.64679738647 What is 1.36518 take away 18.757128? -17.391948 Add 1677 and 891003755. 891005432 What is 1 take away 27078201131215? -27078201131214 Total of 3 and -8241.9712108192. -8238.9712108192 Subtract 6.82476437225 from -0.1. -6.92476437225 -0.18876 + 70735761 70735760.81124 What is -0.75745 take away 441217.8? -441218.55745 Put together -10.7664676485 and 52. 41.2335323515 Calculate -2651615999 - -0.58. -2651615998.42 What is 5.251 plus -11193.5715114? -11188.3205114 Put together 20
{ "pile_set_name": "DM Mathematics" }
be the second derivative of -3*c + 0 + 0*c**2 - 1/3*c**3. Let u(h) = -h. Let p(o) = -6*g(o) + 15*u(o). Determine p(s(q)). 3*q**2 Let a(n) = 4*n**2 + 5*n - 5. Let b(m) = -20*m**2 - 24*m + 24. Let h(t) = -24*a(t) - 5*b(t). Let o(l) = 4*l**2. What is o(h(k))? 64*k**4 Let a(d) = d - 1. Let c(l) = 10*l - 11. Let s(f) = 22*a(f) - 2*c(f). Suppose -2*x + 4*x - 4 = 0. Let i(u) = u - x*u + 2*u. Calculate i(s(q)). 2*q Let l(v) = -2*v. Let n(m) = -9*m + 5. Let i(k) = -17*k + 10. Let s(q) = 4*i(q) - 9*n(q). Let p(o) = -12*o + 4. Let a(u) = 5*p(u) + 4*s(u). What is a(l(t))? 16*t Let m(i) = -170*i. Let u(k) = k**2. What is m(u(r))? -170*r**2 Let q(z) = 3*z + 5. Let b(r) = -r - 2. Let a(p) = -5*b(p) - 2*q(p). Let v(m) be the first derivative of -3/2*m**2 + 0*m - 5. Give v(a(x)). 3*x Let u(y) = -2*y. Let p(g) = -9519*g. Give p(u(d)). 19038*d Let t(y) = -18*y**2. Let i(x) = -35*x**2. Let j(v) = 2*i(v) - 5*t(v). Let b(w) = -2*w. Calculate b(j(s)). -40*s**2 Let r(f) = -1. Let u(i) = 2*i**2 - 14. Let o(v) = 28*r(v) - 2*u(v). Let c(p) = 2*p. What is c(o(w))? -8*w**2 Let r(a) = -2*a**2. Let j(t) = 5*t. Let p(s) = -45*s. Let g = -134 - -189. Let d(m) = g*j(m) + 6*p(m). What is r(d(y))? -50*y**2 Let d be (0 + -1)*1 + 10. Let a be 5 + d/(-3) + 1. Let k(n) = -a*n**2 + 4*n**2 + 9*n - 9*n. Let t(h) = -h. What is t(k(j))? -j**2 Let v(d) = 12*d. Let k(y) = 60*y. Let n(r) = -4*k(r) + 21*v(r). Let c(f) = -2*f. Determine c(n(t)). -24*t Let q(x) = x**2. Suppose 5*p - 3*f - 16 = -5*f, -6 = 3*f. Let s(m) be the third derivative of -4*m**2 + 0*m**p + 0*m**3 + 0*m + 0 + 1/15*m**5. What is s(q(g))? 4*g**4 Let j(p) be the third derivative of -p**5/20 - p**2. Let i(w) = 18*w**2. Give i(j(v)). 162*v**4 Let f(r) = 2 + 2*r**2 - 1 + r**2 - 2*r**2. Let z(b) = -6*b**2 - 3. Let d(x) = -3*f(x) - z(x). Let w(v) = -3*v. What is d(w(q))? 27*q**2 Let s(g) = -5*g. Let m(a) = -7*a. Determine m(s(c)). 35*c Let i(k) be the first derivative of -k**2/2 - 5. Let s(m) = -4*m - 3. Let b(c) = 7*c + 5. Let f(j) = -3*b(j) - 5*s(j). Calculate f(i(n)). n Let j(q) = 6*q + 17. Let g = 25 - 42. Let d(u) = 2*u + 6. Let a(c) = g*d(c) + 6*j(c). Let s(w) be the second derivative of -w**3/3 + w. Determine s(a(x)). -4*x Let i(p) = 8*p. Let w(u) = -2*u**2 + 5*u + 5. Let y(f) = f**2 - 2*f - 2. Let b(r) = 4*w(r) + 10*y(r). What is b(i(t))? 128*t**2 Let y(l) be the second derivative of l**6/144 + l**4/6 - 5*l. Let o(j) be the third derivative of y(j). Let w(p) = -p**2. Give w(o(f)). -25*f**2 Let y(a) = -a - 189. Let i(o) = -4*o. What is i(y(d))? 4*d + 756 Let u(c) = -2*c**2. Let i(s) = -70*s**2 - s. Give i(u(g)). -280*g**4 + 2*g**2 Let q(t) = 20*t**2. Let u(r) = 13*r. Determine u(q(k)). 260*k**2 Let f(s) = -s**2. Let g(w) = 58*w**2 - 3921*w + 3921*w. Determine g(f(a)). 58*a**4 Let x(d) = d**2 + 4. Let r(y) = 3*y**2 + 11. Let i(t) = 4*r(t) - 11*x(t). Let u(l) = -4*l**2. What is u(i(h))? -4*h**4 Let f(o) = o. Let u(s) = 15*s**2 - 12*s - 12. Let t(n) = -6*n**2 + 5*n + 5. Let r(a) = -12*t(a) - 5*u(a). Determine f(r(x)). -3*x**2 Let s(x) = 73*x**2 + 17*x + 17. Let k(f) = -24*f**2 - 6*f - 6. Let y(j) = -17*k(j) - 6*s(j). Let l(b) = -2*b**2. What is l(y(a))? -1800*a**4 Let i(h) = 12*h + 0*h - 5*h. Let j(c) = -c. What is i(j(v))? -7*v Let o(f) = 2*f - 15 + 11 + 4. Let z(h) = -9*h**2. Calculate o(z(q)). -18*q**2 Let x(m) = 7*m**2. Let d(y) = 53*y**2 + 3. Determine x(d(f)). 19663*f**4 + 2226*f**2 + 63 Let m(f) = -2*f**2. Let w(l) = 2*l + 43. Calculate w(m(v)). -4*v**2 + 43 Let o(q) = q. Let v(f) = 66*f**2 - 5*f - 5. Let u(z) = 330*z**2 - 24*z - 24. Let r(i) = 5*u(i) - 24*v(i). Determine r(o(g)). 66*g**2 Let j(b) = -b. Let u(d) = -41*d**2 + 4. Give j(u(p)). 41*p**2 - 4 Let u(d) = -2*d**2. Let m(o) = -6*o + 5. Determine u(m(x)). -72*x**2 + 120*x - 50 Let l(a) = 3*a**2 + a**2 + 0*a**2 - 2*a**2. Let w(y) = -12*y**2. Determine l(w(d)). 288*d**4 Let t(l) = -2*l. Let o be 2/(-1 + (0 - -2)). Let r(d) be the first derivative of -2 + 0*d**o + 0*d - 1/3*d**3. Give t(r(b)). 2*b**2 Let v(f) = 5*f. Let u(w) = -2*w. Let g(z) = 4*u(z) + 2*v(z). Let q(h) = -26 + 26 + 2*h. What is g(q(n))? 4*n Let s(b) = -b + 3. Let h(a) = -2*a + 5. Suppose -3*p = -5*g - 8, -5*p + g - 5*g + 38 = 0. Let t(x) = p*h(x) - 10*s(x). Let q(v) = 4*v**2. Determine q(t(u)). 16*u**2 Let o(q) = -8*q - 19. Let b(l) = 2*l**2. Determine b(o(s)). 128*s**2 + 608*s + 722 Let x(a) = 4*a. Let j(n) = -4*n**2 + 3. Let d(w) = -4*w**2 + 4. Let m(i) = -3*d(i) + 4*j(i). Give x(m(b)). -16*b**2 Let t(x) = 3*x. Let o(d) = 1. Let n(r) = -4 + 0 - 2 + 2 - r. Let g(q) = n(q) + 4*o(q). Give t(g(u)). -3*u Let c(z) = -3*z. Let f(u) = -9*u + 2. Let w(r) = 27*r - 7. Let g(o) = -7*f(o) - 2*w(o). What is g(c(s))? -27*s Let j(r) be the third derivative of r**5/20 + 12*r**2. Let l(x) be the second derivative of -x**4/4 + 2*x. Determine j(l(d)). 27*d**4 Let x(m) be the third derivative of m**4/12 - m**2. Let g(v) be the second derivative of v**4/4 - 11*v. Give x(g(l)). 6*l**2 Let l(q) = 14*q**2 - 13*q**2 + 3*q - 3*q. Let h(w) = -34*w. Calculate l(h(k)). 1156*k**2 Let t(m) be the third derivative of -m**5/12 - m**2. Let q(p) = -5*p. Let h(z) = -3*z. Let w(i) = 8*h(i) - 5*q(i). Determine w(t(a)). -5*a**2 Let l(r) = -r**3 - 5*r**2 + 2. Let t be l(-5). Let d(p) be the second derivative of 0*p**3 + 0 + 0*p**t - 1/12*p**4 + p. Let y(w) = 3*w. Give d(y(s)). -9*s**2 Let u(o) = -2*o**2 - 6. Let w(i) = 2*i**2 + 5. Let j(n) = -5*u(n) - 6*w(n). Let r(t) = 10*t. Determine j(r(f)). -200*f**2 Let r(o) = -o**2. Let f(a) be the first derivative of a**2/2 + 10. What is f(r(d))? -d**2 Let h(n) = -n**2 - 64*n. Let i(g) = -3*g**2. Determine h(i(r)). -9*r**4 + 192*r**2 Let y(q) = -4*q**2. Let b(o) = 14*o**2 - 4. Let a(l) = -13*l**2 + 5. Let i(j) = 4*a(j) + 5*b(j). Calculate i(y(z)). 288*z**4 Let a(o) = 2*o - o + 7 - 8. Let l(v) = -v + 2. Let q(r) = 2*a(r) + l(r). Let m(p) = -2*p**2. What is m(q(g))? -2*g**2 Let w(g) be the first derivative of -g**2/2 - 1. Let x(p) = 10*p**2 - 7*p + 7. Let q(h) = -9*h**2 + 6*h - 6. Let i(m) = -7*q(m) - 6*x(m). Give i(w(k)). 3*k**2 Let u(k) be the third derivative of -k**5/60 + 6*k**2. Let i(t) = 3*t. What is i(u(p))? -3*p**2 Let d = 2 + -2. Suppose -s + 3 = 3*a + 12, 2*s + 12 = -4*a. Let j(v) = -v + d*v + s*v. Let t(z) = 2*z**2. Determine j(t(y)). -2*y**2 Let z(s) = 19*s**2 - 7*s - 7. Let y(g) = 9*g**2 - 3*g - 3. Let b(u) = 7*y(u) - 3*z(u). Let d(x) = 3*x. Give b(d(c)). 54*c**2 Let a(w) be the third derivative of -w**5/20 + 5*w**2. Let m(y) = -6*y**2 - 7*y - 7. Let p(x) = -x**2 - x - 1. Let c(j) = -2*m(j) + 14*p(j). Give c(a(s)). -18*s**4 Let p(a) = 15*a. Let u(q) = -18*q. Calculate p(u(b)). -270*b Let d(o) be the first derivative of 5*o**2/2 + 8. Let n(h) = -3*h**2. Give n(d(s)). -75*s**2 Let l(q) be the second derivative of q**3/6 + 2*q. Let s(v) = 1. Let j(x) = 5*x**2 - 6. Let n(m) = j(m) + 6*s(m). What is l(n(o))? 5*o**2 Let b(w) = 3*w - 14. Let f(d) = 4*d. Give b(f(k)). 12*k - 14 Let y(j) = -3*j. Let n(c) = 63*c - 18. Let p(w) = 18*w - 5. Let i(r) = -5*n(r) + 18*p(r). Calculate y(i(k)). -27*k Let j(u) = 2*u. Let d(t) = t**3 - 4*t**2 - t + 0*t - 5*t - t. Let w be d(5). Let o(h) = -h**2. Let s(k) = -8*k**2. Let x(q) = w*o(q) + s(q). Give j(x(f)). 4*f**2 Let o(x) = 9*x. Let f(u) = -u**2 - 1. Let l(j) = -1. Let d(g) = 4*f(g) - 4*l(g). What is o(d(q))? -36*q**2 Let x be (2/(-5))/((-1)/5). Let i(c) = 3*c - 6*c + x*c. Let m(y) be the third derivative of y**4/24 - 17*y**2. Give i(m(r)). -r Let s(m) = -2*m**2 - 3*m**2 + 4*m**2. Let r(n) be the first derivative of n**3 - 5. Determine r(s(g)). 3*g**4 Let s(r) = -r. Let f(x) be the second derivative of x**4 + 7*x. Calculate f(s(q)). 12*q**2 Let w(k) be the second derivative of -k**4 - 3*k. Let q(u) = u. Let g(i) = -2*i. Let j(y) = 2*g(y) + 3*q(y). Determine w(j(p)). -12*p**2 Let k(o) = o. Let r(f) = -26*f. What is k(r(n))? -26*n Let v(n) = 5*n**2 - 1. Let r(t) = -10*t. Determine v(r(a)). 500*a**2 - 1 Let k(h) = -6*h**2. Let t(d) = -42*d + 42*d - d**2. Calculate k(t(r)). -6*r**4 Let x(q) = 3*q. Let w(m) = -5*m - 5. Calculate w(x(d)). -15*d - 5 Let w(r) = -55*r**2. Let j(h) = -282*h. What is j(w(t))? 15510*t**2 Let m(k) = k**2. Suppose 0 = -z - 3 + 4. Let o(t) = z - 5*t**2 + 2 - 3. Determine o(m(a)). -5*a**4 Let x(m) = -6*m**2 - 5. Let w(o) = -10*o**2.
{ "pile_set_name": "DM Mathematics" }
d derivative of 34*i**6/15 + i**5/20 - 45*i**2 + 48*i. Find the first derivative of v(l) wrt l. 272*l**3 + 3*l**2 Let r(v) be the third derivative of 0 + 0*v**4 + 12*v**2 + 0*v - 3/20*v**5 + 7/6*v**3. Differentiate r(a) wrt a. -18*a Suppose 3*i + 4*o = -35, -3*i + 2*o - o - 10 = 0. Let z = -1 - i. What is the third derivative of -3*w**2 - w**6 + 0*w**2 - 9*w**6 + z*w**6 wrt w? -720*w**3 Let z(w) be the third derivative of 191*w**9/252 + 7*w**5/60 + w**3/3 - 75*w**2. Find the third derivative of z(d) wrt d. 45840*d**3 Let c be 12 + 3 + 0 + -2. Suppose -c = -n - 5. Find the second derivative of 9*p**3 - n*p**3 + 5*p + 7*p**3 wrt p. 48*p Let a(f) = f**2 + 16*f + 33. Let k be a(-14). Suppose -k*m = -1 - 19. Find the second derivative of s + m*s**2 - 4*s - 6*s - 3*s wrt s. 8 Let o(y) = -y**2 + 5*y - 3. Let v be o(3). Suppose -6*a - 2*a + 16 = 0. What is the first derivative of -6*n**2 - 8 - n**2 + 7*n**a - n**v wrt n? -3*n**2 Suppose -9*g = -19 - 53. Find the second derivative of -5*z + g*z + 19*z**5 - 4*z + 22*z wrt z. 380*z**3 Let a(w) = w**3 + 5*w**2 + 2*w - 4. Let h be a(-4). What is the derivative of -g**4 + 21 + 2*g**h - 4*g**4 wrt g? -12*g**3 Let l(h) = -2*h**3 - 4*h**2 + 9*h + 99. Let f(c) = -c**3 - 5*c**2 + 10*c + 97. Let k(z) = -4*f(z) + 5*l(z). What is the first derivative of k(x) wrt x? -18*x**2 + 5 Differentiate -501*j**4 + 47*j**4 - 714 + 45 with respect to j. -1816*j**3 Let s(m) = m**3 + 3*m**2 - m + 1. Let l be s(-2). Suppose -466*j + 471*j = 30. Find the first derivative of -y + j*y - 4 + l*y wrt y. 12 Suppose 3*l = -x - 20, -44 = 2*l + l - 5*x. Let p = l + 11. What is the third derivative of -5*v**6 + 0*v**6 - 6*v**2 + p*v**6 + 4*v**6 wrt v? 240*v**3 Let w(s) = 61*s - 32. Let v(j) = -j + 1. Let f(y) = -4*v(y) + w(y). What is the derivative of f(x) wrt x? 65 Let b(v) = 14*v + 75. Let d(n) = 12*n + 76. Let k(r) = 6*b(r) - 5*d(r). Find the first derivative of k(x) wrt x. 24 Let c = 4 - 1. Let a be 2/(-10) - (124/(-20) + 1). Find the second derivative of -11*b**4 - a*b - 4 + 1 + c wrt b. -132*b**2 Let w = 2 + -1. Suppose 61 = 4*r - 5*k, 3*r - 2*k - w = 4*r. What is the second derivative of i - i + 7*i**3 - r*i - i wrt i? 42*i Let i(x) be the second derivative of -31*x**5/10 - x**4/4 - 5*x**3/2 - 2*x + 1. What is the third derivative of i(n) wrt n? -372 Let j(k) = k**3 + 13*k**2 - 13*k + 17. Let x be j(-14). What is the third derivative of -5*i**2 + 3*i**2 + x*i**2 - 8*i**2 - 11*i**3 wrt i? -66 Let m(d) = 3*d**2 + 2*d - 1. Let l(b) = -548*b**5 + 9*b**2 - 478*b - 3. Let h(g) = -l(g) + 3*m(g). Find the second derivative of h(j) wrt j. 10960*j**3 Let y(c) be the first derivative of c**8/840 - c**4/8 + 10*c**3/3 + 8. Let n(w) be the third derivative of y(w). Differentiate n(u) with respect to u. 8*u**3 Let f(u) = u**3 + 18*u**2 - u - 8. Let k be f(-18). Differentiate k - 38 - 11*q**2 + 9*q**2 wrt q. -4*q Suppose -k = 1158 - 1158. Let f(a) be the first derivative of -8/3*a**3 + k*a**2 + 0*a + 7/4*a**4 - 1. What is the third derivative of f(s) wrt s? 42 Let x(f) = 79*f**4 - 30*f**2 - 9*f - 640. Let n(w) = -20*w**4 + 7*w**2 + 2*w + 160. Let d(u) = 9*n(u) + 2*x(u). Differentiate d(q) with respect to q. -88*q**3 + 6*q Let u(j) be the second derivative of -j**3/6 - j**2/2 - 4*j. Let i be u(-1). What is the second derivative of d - 2*d**4 - 2*d + i*d wrt d? -24*d**2 Let x(s) = -2*s**2 - 3*s**2 - 3*s**2 - 3. Let c(p) = -2 + 9*p + 9*p - 17*p + 3 + p**2. Let d(g) = -3*c(g) - x(g). What is the second derivative of d(l) wrt l? 10 Let q(c) be the second derivative of 0*c**4 + 0 - 9/2*c**3 + c + 0*c**2 + 0*c**5 - 9/10*c**6. Find the second derivative of q(a) wrt a. -324*a**2 Let p be -4 + (-1)/(-4 - -3). Let x be (0 + -10)/(p - -1). Find the third derivative of 0*k - 3*k**5 - 4*k**x - k**2 + 0*k wrt k. -420*k**2 Let m(b) be the second derivative of -11/6*b**3 + 0 - 20*b + 31/2*b**2. Find the first derivative of m(h) wrt h. -11 Let t(w) = -w**2. Let p(b) = 15*b**3 - 2*b**2 - 146*b. Let s(j) = -p(j) + 4*t(j). Find the second derivative of s(u) wrt u. -90*u - 4 What is the derivative of -37*o + 16*o - 21 + 94 - 33*o wrt o? -54 Let q(z) = -2*z - 22. Let y be q(-13). Let v be (y/5)/((-6)/(-60)). Find the second derivative of -10*w + 8 + 2*w**2 - v wrt w. 4 Let h(w) = -10*w**2 - 12*w - 59. Let f(r) = 9*r**2 + 11*r + 60. Let n(q) = 7*f(q) + 6*h(q). Differentiate n(y) wrt y. 6*y + 5 Let v(f) be the second derivative of 16*f**3 + 52*f**2 - 2*f - 7. Differentiate v(y) wrt y. 96 What is the second derivative of 10646 - 10601 + 5*i**2 + 21*i**4 - 5*i**2 - 6*i**5 - 2*i wrt i? -120*i**3 + 252*i**2 Let f(c) = -c**3 + 5*c**2 + 8*c - 2. Let m be f(6). Suppose -14*g - m = -19*g. What is the third derivative of -16*w**5 + w**g - 2*w**4 + 4*w**5 + 2*w**4 wrt w? -720*w**2 Let m = 2754 - 2748. Let w(v) be the first derivative of 0*v**3 - 9 + 0*v**2 + 7/2*v**4 + m*v. What is the first derivative of w(c) wrt c? 42*c**2 What is the third derivative of 7*n**5 - 3*n**2 + 68*n - 37*n**5 + 76*n - 190*n - 18*n**5 wrt n? -2880*n**2 Let k(m) = -3*m**3 + 11*m**2 + 6*m**2 - m**5 - 7*m**5. Let r(g) = -g**5 + g**3. Let p(f) = -k(f) - 3*r(f). Find the third derivative of p(z) wrt z. 660*z**2 Suppose 5*k + s + 2*s = 9, -3*k - 5*s - 1 = 0. What is the third derivative of -14*h**3 - 14*h**2 + 28*h**k + 23*h**3 + h wrt h? 222 Let y(b) be the third derivative of 0*b**4 + 16*b**2 + 0*b + 0*b**3 + 0 + 0*b**6 - 11/30*b**5 + 1/70*b**7. Find the third derivative of y(h) wrt h. 72*h Let l(a) be the third derivative of -a**2 + 0*a**6 + 0*a**5 + 0*a + 0 - 5/42*a**7 + 0*a**4 - 10/3*a**3. Find the first derivative of l(f) wrt f. -100*f**3 Let k(p) be the first derivative of 279*p**2 - 704*p - 462. What is the derivative of k(i) wrt i? 558 Let l be 4/14 - 32/14. Let f(m) = 2*m - 5. Let r = -114 - -113. Let n(v) = 1. Let j(k) = l*n(k) + r*f(k). Find the first derivative of j(i) wrt i. -2 Let l(i) = -5*i**3 + 3*i**2 + 15. Let r be (7/(-2) - -4)/(1/14). Let f(a) = 10*a**3 - 7*a**2 - 30. Let o(z) = r*l(z) + 3*f(z). Differentiate o(q) wrt q. -15*q**2 Let k(l) be the first derivative of 44*l**7/7 - 19*l**3/3 - 44. What is the third derivative of k(n) wrt n? 5280*n**3 Suppose -5*y + 4 = 9. Let s(p) = p**2 + p. Let r(o) = 11*o**2 + 4*o - 8. Let u(j) = y*r(j) + 4*s(j). Differentiate u(q) wrt q. -14*q Suppose 4 + 11 = 3*s. Let a be (244/(-84) - 4/42) + 9. Find the third derivative of 9*x**6 + 2*x**s - 11*x**2 - 2*x**5 - 11*x**a wrt x. -240*x**3 Let f(v) be the second derivative of 0*v**3 - 3/2*v**2 + 1/4*v**4 + 0 + 11*v. What is the derivative of f(g) wrt g? 6*g Find the first derivative of 486*x**3 - 292 - 113 + 3 wrt x. 1458*x**2 Let d(l) = l**3 + l + 1. Let c(n) = 4*n + 4 + 0 + 3*n**2 - 7*n**3 + 8*n**3 - 10*n**2. Let m(b) = c(b) - 4*d(b). What is the third derivative of m(i) wrt i? -18 Let i(c) be the third derivative of c**7/35 - 63*c**3/2 - 32*c**2. What is the derivative of i(y) wrt y? 24*y**3 Let l(a) = -133*a**4 - 8*a**3 - 8*a**2 + 8*a + 179. Let f(s) = -44*s**4 - 3*s**3 - 3*s**2 + 3*s + 60. Let j(g) = -8*f(g) + 3*l(g). Differentiate j(u) wrt u. -188*u**3 Let k(i) = -i**3 + 3*i**5 + 22 - 2*i**5 - 23. Let q(r) = 23*r**5 - 4*r**3 + 12*r - 4. Let z(w) = 4*k(w) - q(w). What is the second derivative of z(x) wrt x? -380*x**3 Differentiate 2 + 9 - 10 + 15*p + 7 wrt p. 15 Let v(c) = c**3 + 7*c**2 - 8*c + 2. Let f be v(-8). Find the third derivative of -16*u**2 - 12*u**2 + 18*u**6 - 2*u**f + 18*u**2 wrt u. 2160*u**3 Let q(t) = 5*t**2 + 5*t. Let b(d) = -18*d**2 - 4*d + 12*d**2 + 0*d. Let x(j) = 6*b(j) + 5*q(j). Find the second derivative of x(f) wrt f. -22 What is the derivative of 79*c**4 - 137 + 11 + 13*c**4 wrt c? 368*c**3 Let j(p) = -77*p**2 - 21*p - 4. Let q(f) = -154*f**2 - 43*f - 7. Let n(t) = 5*j(t) - 3*q(t). Find the second derivative of n(g) wrt g. 154 Let f(y) = 18*y**3 - 8*y**2 - 8*y - 8. Let p(s) = -3 + 4 - s**2 - s**3 - 2*s + s + 0*s. Let i(g) = -f(g) + 8*p(g). What is the first derivative of i(o) wrt o? -78*o**2 Let f(i) = -1285*i + 1329. Let h(q) = -8352*q + 8640. Let k(r) = 32*f(r) - 5*h(r). Differentiate k(n) wrt n. 640 Let c(a) = -2*a**2 - a. Let k(h) = 201*h**3 + 6*h**2 - 67*h. Let w(d) = -6*c(d) - 2*k(d). What is the second derivative of w(u) wrt u? -2412*u Let y(t) be the first derivative o
{ "pile_set_name": "DM Mathematics" }
highest common factor of 507 and 53836809? 507 Calculate the greatest common factor of 379069 and 17422. 281 What is the greatest common divisor of 1740 and 35235580? 580 Calculate the greatest common divisor of 604860 and 930. 30 What is the highest common factor of 175000 and 90? 10 What is the greatest common divisor of 25883 and 14742299? 143 What is the greatest common divisor of 30294673 and 1985? 397 Calculate the greatest common factor of 336663 and 554112. 333 Calculate the greatest common factor of 509741076 and 156. 156 What is the greatest common factor of 94690 and 41310? 170 What is the greatest common factor of 664 and 205590004? 332 What is the greatest common factor of 774984 and 756? 84 Calculate the highest common factor of 52256 and 1053440. 32 What is the highest common divisor of 49729592 and 1276? 44 What is the highest common divisor of 992 and 35517723? 31 Calculate the greatest common divisor of 42 and 19326. 6 Calculate the greatest common factor of 62020 and 650020. 140 What is the greatest common divisor of 1394466074 and 1366? 1366 What is the greatest common divisor of 19308883 and 1672? 209 What is the greatest common divisor of 3393059 and 13589? 127 Calculate the greatest common divisor of 802 and 724479883. 401 What is the highest common divisor of 665810 and 1946? 278 Calculate the highest common divisor of 2409682 and 1870. 374 Calculate the highest common divisor of 27608760 and 420. 60 Calculate the highest common factor of 154 and 125711817. 77 Calculate the greatest common factor of 5842059 and 6872. 859 What is the greatest common divisor of 727296 and 37632? 768 What is the highest common divisor of 173149249 and 7? 7 Calculate the highest common factor of 7370 and 70195565. 3685 What is the highest common factor of 266351195 and 55? 55 What is the highest common divisor of 533043880 and 120? 40 Calculate the highest common factor of 18179 and 39004. 49 What is the highest common divisor of 200010 and 84960? 1770 Calculate the greatest common divisor of 96202 and 17746. 934 What is the highest common divisor of 8756823 and 10569? 813 What is the highest common factor of 330 and 141545415? 165 Calculate the highest common factor of 45156 and 116388. 636 Calculate the greatest common factor of 2283752 and 8. 8 Calculate the greatest common divisor of 12315976 and 20294. 146 What is the highest common divisor of 1374224 and 22? 2 What is the highest common divisor of 3339 and 53316039? 1113 What is the highest common factor of 633866 and 1082238? 1138 What is the greatest common divisor of 1410171 and 5830? 53 Calculate the highest common factor of 5067 and 2592667359. 5067 What is the greatest common factor of 120 and 777735? 15 Calculate the highest common divisor of 17265 and 786133. 1151 Calculate the highest common divisor of 26106 and 4404586. 458 What is the highest common factor of 302 and 559555264? 302 Calculate the greatest common divisor of 4763513 and 68689. 461 What is the greatest common divisor of 804500 and 471437? 1609 What is the highest common divisor of 1482699 and 5115? 93 Calculate the highest common divisor of 46 and 9835053. 23 Calculate the highest common divisor of 132846417 and 99. 99 Calculate the greatest common factor of 1055 and 41137193. 211 What is the highest common factor of 286 and 666861? 13 What is the greatest common factor of 2821 and 7622251? 91 What is the highest common divisor of 12605756 and 12? 4 What is the highest common divisor of 1207885 and 245? 35 Calculate the greatest common factor of 2915 and 36154480. 265 Calculate the greatest common divisor of 9659294 and 8066. 74 Calculate the highest common divisor of 64207773 and 9. 9 Calculate the highest common divisor of 68079 and 12969. 33 What is the highest common factor of 31730 and 3999650? 1670 Calculate the highest common divisor of 1897672 and 28. 28 Calculate the greatest common factor of 108 and 6766335. 27 Calculate the highest common divisor of 40 and 3341689160. 40 Calculate the highest common factor of 47604 and 1602. 6 Calculate the greatest common divisor of 1760 and 132320. 160 Calculate the highest common divisor of 1617287446 and 1838. 1838 What is the greatest common factor of 9219 and 3638432? 3073 What is the greatest common factor of 2068 and 31732? 4 Calculate the highest common factor of 16427635 and 9660. 805 What is the greatest common divisor of 40705457 and 13? 13 What is the highest common divisor of 40852 and 16772? 28 Calculate the highest common divisor of 26532664 and 519. 173 What is the highest common factor of 2448 and 1386537? 51 Calculate the highest common factor of 55 and 2805781. 11 What is the highest common factor of 534464 and 784? 112 Calculate the greatest common divisor of 52690 and 165211890. 4790 What is the greatest common factor of 3040 and 1520? 1520 What is the greatest common divisor of 1502318 and 374614? 3862 Calculate the highest common factor of 147492 and 40120. 68 What is the highest common factor of 617057 and 4112? 257 What is the highest common factor of 52824 and 8198796? 852 Calculate the greatest common factor of 57575874 and 1194. 1194 What is the highest common factor of 78721576 and 5192? 472 What is the greatest common factor of 35469 and 46799375? 3941 Calculate the greatest common factor of 184 and 8488808. 8 Calculate the highest common factor of 21200 and 9247440. 4240 Calculate the greatest common factor of 70 and 3406952. 2 Calculate the highest common factor of 4594381 and 11. 11 Calculate the highest common factor of 94274488 and 132. 44 Calculate the greatest common factor of 1090 and 32658035. 545 What is the greatest common divisor of 2562857 and 297? 11 What is the highest common factor of 69538 and 1526? 14 What is the greatest common factor of 1435 and 11608863? 287 What is the highest common divisor of 2178 and 10576731? 363 Calculate the greatest common divisor of 285918 and 2934. 6 What is the highest common factor of 15759545 and 565? 565 What is the greatest common divisor of 1020 and 203124? 12 What is the greatest common divisor of 21 and 1992545289? 21 Calculate the highest common factor of 104 and 8630518. 26 What is the greatest common divisor of 9620455 and 10? 5 Calculate the greatest common divisor of 15090 and 42770090. 5030 What is the highest common factor of 1169102546 and 34? 34 Calculate the highest common divisor of 15 and 4913385. 15 Calculate the greatest common factor of 15128 and 270072. 248 What is the greatest common divisor of 130 and 936718? 2 What is the greatest common divisor of 525838923 and 36? 9 What is the highest common factor of 381 and 132730621? 127 What is the highest common divisor of 3652420 and 2480? 620 Calculate the highest common factor of 2809280364 and 6168. 3084 What is the highest common divisor of 74247140 and 660? 220 Calculate the highest common factor of 1055 and 44349457. 211 What is the highest common divisor of 132526 and 3482660? 3082 What is the highest common divisor of 33 and 22453347? 3 Calculate the highest common divisor of 45055 and 18455. 5 Calculate the greatest common factor of 109088 and 985201. 3409 What is the highest common factor of 206085 and 191950? 55 Calculate the highest common factor of 9988447 and 286868. 2473 What is the greatest common divisor of 408 and 492228? 12 What is the highest common divisor of 1159928 and 79893? 2959 What is the highest common factor of 117187924 and 13216? 1652 Calculate the highest common divisor of 3645 and 13812363. 729 What is the greatest common divisor of 19818 and 5150358? 54 Calculate the greatest common divisor of 1530 and 13151115. 765 Calculate the greatest common divisor of 2374522 and 4. 2 Calculate the greatest common factor of 4115 and 81. 1 Calculate the greatest common factor of 3424129 and 1253957. 3593 Calculate the greatest common divisor of 574245 and 1432878. 5469 Calculate the highest common divisor of 3248250 and 4047. 213 What is the greatest common divisor of 955707 and 4? 1 What is the highest common factor of 63 and 5652717? 21 Calculate the greatest common factor of 343168866 and 2748. 1374 What is the highest common factor of 479234 and 36? 2 What is the highest common factor of 116
{ "pile_set_name": "DM Mathematics" }
Let l = 2.51 - 2.346. Let g = l - -0.336. What is the smallest value in -4/3, 0.08, -3/5, g? -4/3 Let c = 5906 + -5905.6. What is the third biggest value in c, 1, 0.2, -3/22? 0.2 Let h = 0.87 + -0.87. Let w = -96.39 - -97. Let u = w - 0.41. What is the smallest value in -1, u, h? -1 Let w = -9225 - -36899/4. Let k be (-1)/(-8)*-3 + 0. What is the smallest value in -1, k, w, -0.4? -1 Let p = -0.05595 - 116.05205. Let z = 2.008 + p. Let o = z + 112. What is the third smallest value in o, -2, 0.4? 0.4 Suppose 0 = -14*z - 73*z - 261. Which is the third biggest value? (a) z (b) 773 (c) 3 a Let q(i) = -2*i - 3. Let x be q(-2). Let s = -6 + x. Let h = -129.5 - -130. What is the third biggest value in s, h, 2/7? s Let h = -6661.3 + 6656.3. Suppose -3*l - 4*j = 14, 4*l - l = -3*j - 9. Which is the smallest value? (a) 1 (b) l (c) -2 (d) h d Let i = 5.01 - 5.1. Let f = -472.2 + 472. What is the second biggest value in i, 0.02, f? i Suppose -4*s + 9*j = 4*j - 3319, 4*s - j - 3339 = 0. Let l = 837 - s. What is the third smallest value in 3, l, -7/5, -3/2? l Let s be (25/((-100)/56) - -6)*(-18)/(-408). Let q = 1.2 + -1. Let i = 5 - 8. Which is the second smallest value? (a) s (b) i (c) q a Let h = -12990 + 25977/2. Which is the third biggest value? (a) -2/3 (b) h (c) -2/21 (d) -2 (e) 0 a Let a = -2 + -7. Let b be (-198)/96 - (-92)/1472. What is the third smallest value in b, a, -0.4, -0.2? -0.4 Let w = 0.0323 + -125.0323. Let t = w + 125.1. Which is the third biggest value? (a) -149 (b) t (c) -1/2 a Let p = -413.3 + 76.3. Let y = -342 - p. Which is the third biggest value? (a) -11/3 (b) -0.3 (c) y (d) -3/8 a Suppose 0 = 5*p - 606 - 619. Let f = -491/2 + p. What is the fourth biggest value in 2/15, f, -0.4, 2/17? f Let b be (-129)/3*(56/7 + -11). What is the third smallest value in b, -1, 3/4? b Let m = 52.2 - 69. Let p = m - -16.8. Let r = 20 + -28. Which is the biggest value? (a) 0.4 (b) r (c) p a Let z = 0.3 - 0.5. Let k = -6680 - -9930. Let b be k/1540 - (-5)/70. What is the second biggest value in z, b, 1? 1 Let i = -518 - -2057/4. Let q = i + 109/28. Let z = 451488 - 451485. What is the fourth smallest value in -2, 1, q, z? z Let z = -17317 - -17316.6. Which is the second biggest value? (a) -130 (b) 18 (c) z c Let x = 39.067 - 0.067. Let h = x + -38.89. Let b = 9 - 14. What is the second biggest value in b, 0.3, h? h Let n = 0.611 - 0.56. Let r = 10.051 - n. Let w = 9.7 - r. Which is the second biggest value? (a) -5/6 (b) w (c) -1 a Let s = -3 + 1. Let x = -68957 - -68954. Which is the fourth biggest value? (a) 0.4 (b) s (c) -8 (d) x c Let x(f) = -13*f - 744. Let h be x(-57). Which is the second biggest value? (a) -2.96 (b) h (c) 3 a Let z = 0.34 + -0.24. Let n = 106.19 - 106.2. Which is the third smallest value? (a) 3/7 (b) z (c) 0.5 (d) n a Let k = 2106.7 - 2116.7. Which is the fourth biggest value? (a) k (b) 2.9 (c) 1/7 (d) -2 a Let x = 1.3301 - 0.3301. Which is the fourth biggest value? (a) x (b) 0 (c) 2/13 (d) 3.56 b Let f = 479.3 - 482.3. What is the biggest value in 4, -323, f, 1/9? 4 Let w be (-1 + -2)/((-12)/20). Suppose -s = 7*g + 7, 2*s = 7*s - 2*g - 2. Which is the biggest value? (a) s (b) -20 (c) w c Let u be 53 + -37 + (-780)/48. What is the third smallest value in u, -2, 3, 2/73? 2/73 Let q = 4274 + -4274. What is the biggest value in q, 2, 1558? 1558 Let y = 27191 - 27190. Let c = 0 + -0.2. What is the second smallest value in c, -6, -4, y? -4 Let b = 402.8 - 406.8. What is the smallest value in b, 0, -11, -18? -18 Let o = 43 - 25. Suppose -5*i = -v - 9 - 9, -4*v - o = -2*i. Let t = -4963 - -4962.5. Which is the second smallest value? (a) 3 (b) t (c) v b Let d = 1.2 - 0.2. Let s = -19842 - -20011. What is the third biggest value in -0.5, s, d? -0.5 Let r = -3713 + 3713.4. Let h = 19/324 + 2/81. Which is the third smallest value? (a) -9 (b) h (c) r c Let c = 0.7 + -1.2. Let a be 0/(-2) - 4/5. Let g be ((-1)/(-11))/(1*(1242/(-198) + 7)). What is the second smallest value in g, -3, c, a? a Let t = 1.6 - -0.4. Let o be 12/22*(-1320)/360. Which is the third smallest value? (a) t (b) o (c) -2/5 (d) 2/13 d Let x = 14/67 + -372/1139. Let y = -10 + 48. What is the smallest value in y, 0.2, -3/4, x? -3/4 Let y = -0.2 + 0.1. Suppose -92*f + 26*f = -86724. Let o = f + -1316. What is the second biggest value in y, o, -6? o Let t = 0.708 + -5.708. Let m = -1/3 - 1/6. Which is the second smallest value? (a) -1/3 (b) 7 (c) m (d) t c Let k = -38 + 37.5. Let v = 491.8 - 492. What is the second smallest value in v, -1/7, -20, k? k Let k = 31/4 + -287/36. Let r = -1.56 - 0.44. What is the third smallest value in -0.1, 36, k, r? -0.1 Let a = 2.11 - 2.09. What is the fourth smallest value in a, -3/4, 2, -1/38? 2 Let t = 752 - 753. What is the second biggest value in 11, 0.3, 25, t, 1/7? 11 Let o = -662 + 395. Let i = o + 267.5. What is the third biggest value in -2/7, 2, i, -3? -2/7 Let p = -0.2233 - 36.7767. Let l = 0.45 - 37.45. Let y = p - l. Which is the second smallest value? (a) -3/2 (b) 2 (c) y (d) 7 c Let h = 25.6 + -23. Let a = 17.4 + h. Let j = -17 + a. What is the third biggest value in 4, j, -2? -2 Let s = 0.3 + -0.1. Let a = -0.419 - -190.419. Let c = a + -185. What is the fourth smallest value in c, -8, s, -1? c Let u = 18.8 + 0.2. Let t = -38 + u. Let l = -20 - t. Which is the biggest value? (a) l (b) -6 (c) 0.2 c Let b = -14147 - -15330. What is the biggest value in 1, b, -1? b Let i be (-24)/(-14) + -2 - 260/(-273). Let h = -0.9992 + -0.0008. Which is the second biggest value? (a) h (b) -2/7 (c) i (d) 8 c Let m = 8674.6 + -8675. Which is the second smallest value? (a) -4 (b) 180 (c) m (d) 0.02 c Let t be 12*(-15)/750*5. What is the second biggest value in -0.1, -1/3, t? -1/3 Let t = -61 - -60.6. Let u = 11 - 7. Which is the second smallest value? (a) t (b) -3 (c) -4 (d) u b Let g be (-1048)/393*1/(-4). What is the fourth smallest value in g, 1.32, 0.3, 1? 1.32 Let m = 1301 + -1301.2. Suppose 1 = 5*p - 4*p. What is the biggest value in p, 3, 0.1, m? 3 Let r = -0.312 + 0.512. Let q(n) = 2*n**2 + 19*n + 63. Let p be q(-6). Which is the third smallest value? (a) 3 (b) r (c) -0.5 (d) p a Let v = 140.98 - 141. Let k = 358 + -1431/4. Which is the third smallest value? (a) v (b) 0.08 (c) k c Suppose t - 10*f + 15*f - 31 = 0, -4*f = 14*t + 28. What is the smallest value in -2/731, t, 2, 4, -0.1? t Let u be (6 - 2) + 1900/(-152). What is the biggest value in -42, u, 5, 0.4? 5 Suppose -7*d + 10*d + 15 = 0. Let c be (d/165)/((-5)/30). Suppose l + 4 = 8. What is the second smallest value in 2, c, l, 0.5? 0.5 Suppose -4*q - 2 = 4*g + 18, 4*q + 16 = -3*g. What is the second biggest value in -5, -10, g? -5 Let q = -95 - -664/7. Let o = 158.2 - -135.4. Let z = 294 - o. What is the second smallest value in z, 4, q, 6? z Let k = -112 - -104. Let y = k + 8.81. Let g = y - -8.19. What is the biggest value in -0.5, g, -4? g Suppose q - z = -8 + 2, -3*q = 5*z - 22. Let g = -142 + 142. What is the biggest value in g, 40, q, -0.1? 40 Suppose 0 = 7*i - 3*i + 24. Let l(r) = r**2 - 12*r + 8. Let s be l(12). Suppose -s = -y - 10. Which is the second smallest value? (a) 3 (b) 4 (c) y (d) i c Let v = -106754.01 - -106754. Let w = 8 + -5. Which is the fourth smallest value? (a) 0.2 (b) v (c) w (d) 0 c Let j(o) = o**3 + 3*o**2 - 2*o - 4. Let d be j(-3). Let f = 1.86797 + -2.26797. What is the second biggest value in 0, d, f, 1/2? 1/2 Let s = 1.88 + -2. Let v = 129 - 127.85. Let y = 1.45 - v. Which is the biggest value? (a) -0.4 (b) y (c) -2 (d) s b Let x = -218 - -652/3. Let d = -234 - -242. What is the third smallest value in d, x, -2/7? d Let r = 36.85 + -31.85. Which is the fourth smallest value? (a) r (b) -3 (c) -23 (d) 2/23 a Let m = -1073/6 - -179. Let z = -142.8 - -143. Which is the fourth smallest value? (a) m (b) z (c) 4 (d) 0.1 c Suppose 5*v = 2*v - 24. Let n = 1.9 + -95.9. Let u = n - -99. What is the second smallest value in u, 0, v? 0 Let p = -2982 - -2982.01. What is the biggest value in -1, p, 48? 48 Let l be (((-6320)/(-762))/(-5))/(5/2). Let z = 2/635 - l. Let j = -1 - -1. Which is the fourth smallest value? (a) j (b) 0.1 (c) -3/2 (d) z
{ "pile_set_name": "DM Mathematics" }
2278636 What is the lowest common multiple of 5385 and 960? 344640 Calculate the least common multiple of 205220455 and 70. 2873086370 Calculate the lowest common multiple of 135252 and 17238. 1758276 Calculate the common denominator of 1/17544 and 61/54621. 18789624 Find the common denominator of -3/865072 and -77/1214428. 63150256 What is the least common multiple of 1202382 and 1335980? 12023820 Calculate the smallest common multiple of 16 and 230209232. 230209232 What is the common denominator of 113/51372 and -113/2639950? 47519100 Calculate the lowest common multiple of 9021320 and 21210. 27063960 What is the common denominator of 109/1551046 and 73/494? 20163598 What is the common denominator of 87/1564 and 53/17198917? 68795668 What is the common denominator of -3/5778560 and -95/64? 5778560 Find the common denominator of -7/73761 and -83/157918. 506443026 What is the smallest common multiple of 63125 and 40175? 101441875 Calculate the lowest common multiple of 165868971 and 1356. 663475884 What is the least common multiple of 26 and 50622? 50622 What is the smallest common multiple of 33 and 32915064? 362065704 Calculate the common denominator of -103/10 and 25/500624. 2503120 Calculate the smallest common multiple of 12052385 and 68920. 96419080 What is the smallest common multiple of 198934515 and 92313? 198934515 What is the smallest common multiple of 37528576 and 32? 37528576 What is the lowest common multiple of 30891649 and 856? 247133192 Calculate the lowest common multiple of 1033564 and 3395996. 23771972 Calculate the smallest common multiple of 969 and 250080. 80775840 Calculate the smallest common multiple of 144 and 150141888. 150141888 Find the common denominator of -71/18 and 55/892434. 2677302 Calculate the common denominator of 51/9746 and 55/65913084. 725043924 What is the lowest common multiple of 7272 and 58013592? 174040776 Find the common denominator of 65/4081 and 97/57134. 57134 Calculate the common denominator of -91/2326000 and 71/1610. 374486000 Calculate the common denominator of 37/8390984 and -127/120. 125864760 Calculate the common denominator of -61/3143740 and -9/175. 110030900 Calculate the lowest common multiple of 3551408 and 1553741. 24859856 Find the common denominator of -79/3278860 and 131/650. 16394300 What is the least common multiple of 61153742 and 27729? 1651151034 What is the smallest common multiple of 46262 and 2? 46262 Calculate the common denominator of -127/6792 and 49/2424. 685992 Calculate the common denominator of -46/9334921 and -121/738. 168028578 What is the least common multiple of 147060 and 5953479? 357208740 Calculate the lowest common multiple of 187782 and 168320. 60090240 What is the lowest common multiple of 3 and 80759046? 80759046 Calculate the common denominator of -8/184248125 and 53/15173375. 1289736875 Find the common denominator of -97/9000 and -37/344000. 3096000 Calculate the common denominator of 67/453152 and -25/6392. 21298144 What is the common denominator of -47/23520 and 93/6014848? 90222720 Calculate the smallest common multiple of 1646232 and 290385. 666723960 Calculate the common denominator of 95/32 and 97/22539712. 22539712 Find the common denominator of -3/172450 and -33/500. 1724500 Calculate the smallest common multiple of 10217 and 5559. 3340959 Find the common denominator of -85/13011162 and 157/10830. 65055810 What is the least common multiple of 55520 and 240? 166560 Calculate the lowest common multiple of 265014 and 12602888. 113425992 Find the common denominator of -44/27 and -34/2124891. 6374673 What is the common denominator of -79/2648040 and 52/465? 82089240 Calculate the smallest common multiple of 197524 and 146832. 16592016 Calculate the common denominator of -41/7202640 and -1/12. 7202640 What is the common denominator of 1/122014 and 17/52? 3172364 Calculate the common denominator of 103/101140 and 131/678. 34286460 Calculate the smallest common multiple of 19253388 and 83431348. 250294044 What is the lowest common multiple of 55446 and 122138297? 732829782 Calculate the lowest common multiple of 45 and 9358965. 9358965 What is the common denominator of 7/1856725 and -62/371345? 1856725 What is the lowest common multiple of 133020 and 40068? 148051260 What is the lowest common multiple of 3212 and 176572? 12889756 Find the common denominator of 97/9152092 and -2/21. 192193932 What is the smallest common multiple of 22295649 and 73583? 22295649 Calculate the lowest common multiple of 2671069 and 338110. 26710690 Calculate the common denominator of 7/816 and -149/86256. 1466352 What is the least common multiple of 1360 and 133104? 11313840 What is the least common multiple of 237912512 and 6220? 1189562560 Calculate the common denominator of 51/35633248 and 69/4. 35633248 Calculate the lowest common multiple of 4737876 and 394823. 4737876 What is the lowest common multiple of 90630 and 18718? 848206170 Calculate the least common multiple of 416 and 28992720. 753810720 What is the common denominator of 125/99576 and -103/36? 99576 Calculate the lowest common multiple of 45 and 19416030. 58248090 What is the common denominator of 125/744 and -113/9780624? 9780624 Find the common denominator of -151/59257440 and -17/47520. 59257440 What is the lowest common multiple of 5224336 and 3918252? 15673008 What is the lowest common multiple of 6 and 5697451? 34184706 Calculate the least common multiple of 8 and 6859901. 54879208 Calculate the lowest common multiple of 14550 and 3927. 19045950 Find the common denominator of -9/15224 and -43/64724. 22394504 Calculate the smallest common multiple of 18567380 and 60. 55702140 What is the least common multiple of 12303 and 2382681? 7148043 Calculate the lowest common multiple of 43249 and 136837. 8347057 Calculate the least common multiple of 13457766 and 27078. 13457766 Calculate the common denominator of 137/841668 and -49/378750600. 378750600 Calculate the common denominator of -30/23749 and -16/100711. 18832957 What is the least common multiple of 20 and 1440612? 7203060 What is the smallest common multiple of 3351012 and 6672? 13404048 Calculate the smallest common multiple of 434650 and 146. 31729450 What is the smallest common multiple of 6934485 and 31761? 20803455 Calculate the least common multiple of 21774 and 2930. 31898910 What is the lowest common multiple of 132540202 and 14? 927781414 Find the common denominator of 81/3313250 and 103/54250. 718975250 What is the common denominator of 49/288 and -7/554840? 19974240 Calculate the common denominator of 71/27550 and 53/2090. 303050 Calculate the lowest common multiple of 98225 and 2500. 9822500 What is the common denominator of -173/129822 and -50/63? 389466 Calculate the common denominator of -34/17991 and 91/1194. 7160418 Calculate the common denominator of -27/872 and 15/1263964. 2527928 Calculate the common denominator of -27/1544 and 53/157900248. 157900248 Calculate the smallest common multiple of 5620428 and 44. 5620428 Find the common denominator of 121/72 and -23/173070. 692280 What is the lowest common multiple of 692340 and 11880? 12462120 What is the lowest common multiple of 1264 and 82186860? 328747440 What is the smallest common multiple of 632328 and 10328024? 30984072 Calculate the common denominator of -41/1744 and 21/846058. 6768464 Calculate the common denominator of 77/2193945 and 76/663. 37297065 Calculate the lowest common multiple of 1341200 and 56. 1341200 What is the common denominator of 74/45 and 199/18690? 56070 What is the lowest common multiple of 26112 and 1370064? 43842048 Calculate the common denominator of 99/840490 and -27/3193862. 15969310 What is the common denominator of -12/7105 and 107/5854520? 5854520 What is the smallest common multiple of 11417640 and 1820? 79923480 Calculate the lowest common multiple of 8559 and 3886737. 34980633 Calculate the common denominator of 9/305 and 11/78089211. 390446055 Calculate the smallest common multiple of 18912432 and 816816. 245861616 What is the common denominator of 143/578178 and 63/78518? 6359958 Find the common denominator of 37/31122 and -7/142386. 38871378 Find the common denominator of 91/56358 and -157/5742. 17978202 Calculate the common denomina
{ "pile_set_name": "DM Mathematics" }
base 2, what is -101001000100010 - -11110000? -101000100110010 In base 16, what is 2 + 9b85? 9b87 In base 2, what is 1001111011101111 - 1001? 1001111011100110 In base 7, what is -2 - -243262? 243260 In base 16, what is -1d + 48? 2b In base 8, what is 6 + -253637? -253631 In base 7, what is 264 + 340? 634 In base 9, what is -30 - -6630? 6600 In base 16, what is 39 + 8ad? 8e6 In base 4, what is -110 - 100332202? -100332312 In base 4, what is -2 + 303230120? 303230112 In base 4, what is 133011220 + 10? 133011230 In base 2, what is 1000 - 110010111010011001? -110010111010010001 In base 5, what is 111431 + -14? 111412 In base 5, what is -3420 - -1200? -2220 In base 11, what is 2 - 11998? -11996 In base 7, what is -3 - 61662? -61665 In base 9, what is -33211 - 1? -33212 In base 11, what is -4a3281 - 2? -4a3283 In base 14, what is -32 + -6964? -6996 In base 9, what is 30778 + 0? 30778 In base 6, what is -2 + 1034143? 1034141 In base 4, what is 1 + -10223233? -10223232 In base 9, what is 340640 - 1? 340638 In base 9, what is -11 - 242442? -242453 In base 10, what is 5 - -73148? 73153 In base 7, what is 616 - 14312? -13363 In base 16, what is -105 - -284a? 2745 In base 14, what is -7b5 - 3? -7b8 In base 11, what is 2535 - -350? 2885 In base 7, what is -554051 + 3? -554045 In base 10, what is -11 + 203106? 203095 In base 9, what is -2617 - -318? -2288 In base 7, what is 4 - 1344461? -1344454 In base 5, what is -13313400 + 10? -13313340 In base 4, what is -203 + 211223? 211020 In base 6, what is 133244 + -2? 133242 In base 9, what is 0 + 123018? 123018 In base 7, what is -1032 - 532? -1564 In base 12, what is -4 - -15a21? 15a19 In base 10, what is -506 + 4442? 3936 In base 13, what is 1879 - -ba? 1966 In base 5, what is -112 - -333303? 333141 In base 7, what is 10030 - -365? 10425 In base 15, what is 2 - 1a055? -1a053 In base 10, what is 222 + 739? 961 In base 8, what is 317137 - 1? 317136 In base 5, what is 10 - 313012? -313002 In base 12, what is -12 - -5653b? 56529 In base 4, what is 112333333 + -1020? 112332313 In base 7, what is -1060161 + -1? -1060162 In base 7, what is 1414 - -1103? 2520 In base 8, what is -1 + -636052? -636053 In base 11, what is -1415 + -17? -1431 In base 3, what is 100211111210 + 12? 100211111222 In base 7, what is -43 + 341030? 340654 In base 6, what is 15121 + 5? 15130 In base 9, what is -8 - 633861? -633870 In base 3, what is 0 - 2101022222? -2101022222 In base 12, what is -10 - 2b136? -2b146 In base 15, what is -86cc6 + -4? -86cca In base 2, what is -1100 + -10000111000011? -10000111001111 In base 4, what is -311203 - -112? -311031 In base 8, what is -346 + 303? -43 In base 16, what is -1a0dd - -1? -1a0dc In base 3, what is 20 - -22100112021? 22100112111 In base 2, what is 110111 + 10000? 1000111 In base 12, what is 31 - -2009? 203a In base 9, what is 35308 - -7? 35316 In base 13, what is -4 - 467? -46b In base 16, what is -2b + -4b3? -4de In base 11, what is 6055 + 29? 6083 In base 11, what is -a3503 - 2? -a3505 In base 12, what is -11 + -3885? -3896 In base 16, what is -11687 + 5? -11682 In base 6, what is -23132 + -5? -23141 In base 2, what is -1000001001 + 11100111? -100100010 In base 14, what is ca658 + 0? ca658 In base 2, what is 1101 + 110110100011110111? 110110100100000100 In base 16, what is 2 + -14363? -14361 In base 6, what is -1215 + -32120? -33335 In base 6, what is -31233 + 41? -31152 In base 9, what is 263157 - 5? 263152 In base 9, what is -4 + -57584? -57588 In base 13, what is -14 - -7b78? 7b64 In base 10, what is 8 + 7158? 7166 In base 15, what is 2548a - 8? 25482 In base 7, what is -1242 - 4055? -5330 In base 5, what is -4 + -440324? -440333 In base 5, what is -404 - -13204? 12300 In base 12, what is -29301 - 6? -29307 In base 11, what is 367a37 - 0? 367a37 In base 5, what is 2123 - -4132? 11310 In base 3, what is 1102120 - 10002? 1022111 In base 6, what is -5 + 12320153? 12320144 In base 10, what is -98973 - -2? -98971 In base 9, what is 3053 - -240? 3303 In base 6, what is 530 + 3124? 4054 In base 8, what is -4 + -24111? -24115 In base 2, what is -1001 + 110110001011101000? 110110001011011111 In base 2, what is 1011010 + -1011100111110111? -1011100110011101 In base 12, what is 20196 + 1? 20197 In base 2, what is -101010101000 - 10101011? -101101010011 In base 14, what is -b37 - -680? -497 In base 10, what is 74575 - 2? 74573 In base 16, what is 13da5 - 58? 13d4d In base 16, what is 2ad - -f? 2bc In base 5, what is 10 - -2020431? 2020441 In base 13, what is 4 + -2090? -2089 In base 15, what is 19 - 8a5? -88b In base 10, what is -2 + 10646? 10644 In base 13, what is 181 + 2451? 2602 In base 11, what is -51007 + 7? -51000 In base 7, what is 5 - 2644113? -2644105 In base 4, what is -2233 - -130? -2103 In base 12, what is -114 - 6067? -617b In base 14, what is 6 - 160cd? -160c7 In base 13, what is 140c - 80? 135c In base 6, what is -345 - 2244? -3033 In base 14, what is 8a + -d0d? -c63 In base 9, what is 8571 + -2? 8568 In base 5, what is 0 + -34031323? -34031323 In base 2, what is -10001111 + 111001011010? 110111001011 In base 13, what is 0 + 145050? 145050 In base 14, what is -b - -11da? 11cd In base 4, what is -1023110321 + -1? -1023110322 In base 9, what is -478604 + 3? -478601 In base 16, what is 3ed3 - -90? 3f63 In base 11, what is -5310 + 4? -5307 In base 13, what is -1 + 70a69? 70a68 In base 2, what is 11010100111110 + 1? 11010100111111 In base 7, what is -125 + 11201? 11043 In base 2, what is -101 + 1111000110001? 1111000101100 In base 7, what is 50303 - -2? 50305 In base 2, what is 1010101000111011 - 1001011? 1010100111110000 In base 16, what is -3fe50 + -4? -3fe54 In base 8, what is -31362 - -6? -31354 In base 5, what is -232 + -2043? -2330 In base 15, what is -15b3 - e? -15c2 In base 9, what is -3 - 10423? -10426 In base 8, what is 2 + -25462? -25460 In base 13, what is -c13 + -7c? -c92 In base 12, what is 0 + -b9719? -b9719 In base 11, what is -405822 - -3? -40581a In base 12, what is 23120 - -2? 23122 In base 13, what is -20811 + -2? -20813 In base 3, what is 100010101202 - 1? 100010101201 In base 4, what is 102101001310 - 1? 102101001303 In base 6, what is -12333 + 40? -12253 In base 5, what is -211 + 234? 23 In base 10, what is 140839 - 22? 140817 In base 16, what is 21 - -43b5? 43d6 In base 10, what is 4 + 600460? 600464 In base 13, what is -2 - -6461? 645c In base 10, what is 61997 + -3? 61994 In base 2, what is 110110 - 1100010? -101100 In base 3, what is 2221020 - -1102? 2222122 In base 5, what is 3120 + -1222? 1343 In base 12, what is 34 + -16a0? -1668 In base 6, what is -2 + 1041455? 1041453 In base 13, what is c8 - -bb? 1b6 In base 12, what is -22 - a25? -a47 In base 7, what is -5 - 13423? -13431 In base 2, what is -1101 - -11000001111110101? 11000001111101000 In base 5, what is 4 - -101321404? 101321413 In base 3, what is -101202 - 1022220? -1201122 In base 8, what is -317225 + -3? -317230 In base 6, what is -1 + 1000153? 1000152 In base 11, what is -3a - -559? 51a In base 2, what is -101 + -1100100110001100? -1100100110010001 In base 2, what is 110100 - 11101000101? -11100010001 In base 6, what is 141 + -32302? -32121 In base 12, what is 601b4 + -5? 601ab In base 16, what is -2 - -13185? 13183 In base 9, what is 287 - 4457? -4160 In base 12, what is 25b767 - 4? 25b763 In base 13, what is 6 + -a173? -a16a In base 11, what is -53 + 26979? 26926 In base 7, what is 2 + 55021? 55023 In base 15, what is -87b - 5? -881 In base 7, what is 526 + -56? 440 In base 12, what is -56 + -9a41? -9a97 In base 2, what is -10000 + -1010101111010? -1010110001010 In base 3, what is 1110110 + -221012? 112021 In base 9, what is -14830440 - 1? -14830441 In base 5, what is -121432 + 41? -121341 In base 2, what is 110011 + 1110101? 10101000 In base 8, what is -154554 + 3? -154551 In base 7, what is 62 + -2505? -2413 In base 2, what is -110101000111010 + -1101? -110101001000111 In base 6, what is -5 - -45254? 45245 In base 2, what is -10111 - 1011010000111101? -1011010001010100 In base 8, what is -6 - -462462? 462454 In base 11, what is 892558 - -6? 892563 In base 2, what is -10001 - 1101111101101100? -1101111101111101 In base 12, what is -718 - 73? -78b In base 15, what is -164 + -3? -167 In base 15, wha
{ "pile_set_name": "DM Mathematics" }
(b) i (c) -3 a Let m = 15 + -19. What is the third smallest value in -0.02, m, 2? 2 Let q = 14 - 17. Which is the second smallest value? (a) 4 (b) q (c) -8 b Let h = -1.2 - -0.7. Let o = -1.6 + 1.8. Which is the third biggest value? (a) -2 (b) o (c) h a Let c be 1/((-2)/(-6)) + 48/24. Let g = -436/1115 - 2/223. What is the third biggest value in g, c, -1/7? g Let v = 4/11 - -10/33. Which is the smallest value? (a) 1 (b) 4/11 (c) v (d) 1/7 d Let v = -1.7 + 4.7. What is the third biggest value in -0.4, v, -5? -5 Let w = -33/2 - -17. Let p = -59 + 56.3. Let v = p + 3. Which is the third smallest value? (a) w (b) -1 (c) v a Let q = -2.009 - -0.049. Let j = 0.04 - q. Let h be ((-10)/(-6))/((-2)/(-6)). What is the third smallest value in j, -0.3, h? h Let k = -12 + 12.7. Let t = k - 1.1. What is the biggest value in t, 1, 1/2? 1 Let r = 6 - 4. Suppose -2*f = 5*o - 89 - 11, 0 = -2*o - 4*f + 40. Let n be (4/10)/(o/(-25)). Which is the second smallest value? (a) n (b) r (c) -1 a Let m(i) = -2*i**3 - 3*i**2. Let d be m(-2). Which is the third biggest value? (a) 4/5 (b) 1 (c) d a Let f(d) = 5*d + 10. Let g be f(-3). What is the smallest value in -1/6, 0, g? g Let g(r) = -r**3 + 10*r**2 - 9*r - 3. Let j = 28 - 19. Let p be g(j). Let d be 4/(-15)*p/(-2). Which is the second smallest value? (a) 0.1 (b) 1/7 (c) d a Suppose 8 = -3*j + 23. What is the third smallest value in 2, -3/4, j? j Suppose 2*h = -2, -x + h + 0 = -5. Suppose -k = -5*k - x. Which is the third biggest value? (a) 4 (b) -2/3 (c) k c Let h(f) = -f**2 + 6*f - 4. Let o be h(4). Let u be (-12)/(-45)*66/o. Let k = -24/5 + u. Which is the biggest value? (a) k (b) 0.4 (c) 4 c Let p(k) = -17*k + 4. Let c be p(-4). Let u be (-4)/c*1*8. What is the smallest value in -3, -0.2, u? -3 Let r = 4 - 3.5. Which is the second smallest value? (a) 0 (b) r (c) 0.1 c Let f = 0.338 - 0.038. What is the biggest value in -0.1, f, -2/5? f Let y be 4/12*6/16. What is the biggest value in y, -5, 0.5? 0.5 Let g = -5 - 3. Let z be (-6)/g*1/(-2). Which is the biggest value? (a) 1/3 (b) -2 (c) z a Let q = 17 + -12. What is the third smallest value in q, 0.3, 0.06? q Let q = -16 - -15. Which is the second biggest value? (a) q (b) 5 (c) -0.3 (d) -3 c Let l = -7.2 + 7. Let m = 3.8 + -4. Let d = m + 0.3. Which is the smallest value? (a) -2/11 (b) l (c) d b Let p = 17 + -17.5. What is the third biggest value in 3, p, 5? p Suppose o - u - u - 11 = 0, -4*o - 4*u = -8. Suppose -o*q + 2 = -3. Let d be q/(-2) + (-15)/(-24). Which is the smallest value? (a) d (b) 0.3 (c) -3/4 c Let r = 2.9 + 0.1. What is the second biggest value in r, 2, 0? 2 Suppose -2*q - u + 4 = 0, -3*q - 2 = -u - 3. Let z = -1.57 + -13.23. Let f = z + 15. Which is the biggest value? (a) 1/8 (b) f (c) q c Let t = 1.88 + 1.1. Let d = 0.02 + t. Which is the biggest value? (a) 1 (b) d (c) -2 b Let y(x) = x**3 + 16*x**2 - 35*x + 19. Let i be y(-18). What is the third biggest value in 5, i, -3? -3 Let m = 2.1 + -1.1. What is the third smallest value in -5, 1/8, m? m Suppose -5*i = -4*z + 33, -3 = 5*i + 2*z + 18. Let o be (-489)/70 - 2/4. Let j = o - -36/5. Which is the second smallest value? (a) i (b) 0.1 (c) j c Let q = -0.13 + 1.33. What is the smallest value in 2, q, -3? -3 Let j be 8/(-12) + 1/6. Let f = -95 + 195/2. What is the smallest value in f, j, 2/7? j Let s = -0.01 + 0.01. Which is the biggest value? (a) s (b) -4 (c) -3/7 a Let j = 0.1 + -0.5. Let u = 0.09 + 0.01. What is the smallest value in u, j, -2? -2 Suppose -4*j - 35 = -5*u, -4*j + j - 18 = -u. Which is the second biggest value? (a) u (b) 3/5 (c) -0.9 b Let h(f) = f**2 + 3*f - 3. Let t be h(-4). Let v = 2 + t. Suppose 4 = 2*g + 2*g. Which is the third biggest value? (a) v (b) g (c) -1 c Let l = 5.7 - 6. Let x = 3 - 5. Let o = -2 + -2. Which is the second biggest value? (a) x (b) l (c) o a Let o be (-5)/(-3) - (-4)/(-6). Suppose -o = -3*t + 11. Which is the second smallest value? (a) 0.5 (b) -2/3 (c) t a Let l = -5 + 6. Let i = 4 + 1. What is the second biggest value in i, -1, l? l Suppose 6 + 60 = -3*y. Let u = -12 - y. Suppose -21 + 8 = 2*r + x, r - 5*x = u. Which is the biggest value? (a) 0 (b) 0.3 (c) r b Let f = 28.7 + -29. Let b = -1 - -1.5. What is the third smallest value in f, b, 5? 5 Let z = -0.072 + 0.122. Which is the second biggest value? (a) -2 (b) 4 (c) -5 (d) z d Let k = -2 - 0. Which is the second smallest value? (a) k (b) -3 (c) -2/13 a Let c = -38 - -26. Let s be 2/c*2*-6. Let m = 0.28 - -0.02. What is the third smallest value in 5, s, m? 5 Let p be (1 - 68/16) + 3. Which is the smallest value? (a) -3/2 (b) -0.4 (c) p a Let k be ((-1)/(-4) - 0)*3. Let t = -11 - -10. Which is the biggest value? (a) k (b) t (c) -2/13 a Let u be (-1)/(-2) + 3/6. Which is the fourth smallest value? (a) 0.1 (b) -4 (c) u (d) 2 d Suppose 0 = 5*i + 4*j - 5, -i = j + 3*j - 1. Which is the biggest value? (a) -0.5 (b) -2/11 (c) i c Let w = 14 + -13. Which is the biggest value? (a) -0.36 (b) w (c) 3 c Let q = -3/4 - -1. Let w = -4 + 7. What is the third biggest value in w, 2/5, q? q Let m be 72/(-20) + 8/2. What is the second biggest value in m, 1/20, 2? m Let n = -14.3 - -14. Let q = -13 - -8. Which is the third biggest value? (a) -0.4 (b) q (c) n b Let l = 107 + -751/7. Suppose 0 = i + 52 - 4. Let j be (i/25 + 2)*1. Which is the smallest value? (a) -2 (b) l (c) j a Let h = -13 - -18. What is the second biggest value in 1, h, 3? 3 Let u = -12/41 - -74/533. What is the biggest value in -0.3, 0.1, 2, u? 2 Let o = 4 + -8. Let a = 0.12 - 5.12. What is the second biggest value in o, -1/4, a? o Let i = 0.9 + 12.1. Let f = 13.2 - i. Which is the second biggest value? (a) -1/6 (b) 1/7 (c) f b Let z = -1 - -0.7. Which is the biggest value? (a) -3 (b) -2/11 (c) z b Let f = -6.9 - 0.1. Let w = 12 + f. Which is the biggest value? (a) 0.3 (b) 4 (c) w c Let j = -86 + 80. Which is the smallest value? (a) -4 (b) -1 (c) -2 (d) j d Let k = -10 + 33. Let q = -23 + k. Which is the biggest value? (a) q (b) 4 (c) -1 b Let o = -7/9 - -26/45. Suppose 3*k + 3*a = 6, k + 2*a - 2 = -0*k. Let y = 11 + -7. What is the third biggest value in k, o, y? o Suppose -5*k - 2*c = 13, 2*c = 5*k + 3 - 6. What is the second biggest value in -5, 0.2, k? k Let k = -223 - -443/2. Let l = 48 - 193/4. What is the third smallest value in l, k, 2/7? 2/7 Let q(p) = p**3 - 9*p**2 - 10*p + 5. Let m be q(10). Which is the smallest value? (a) -2/11 (b) m (c) -9 c Let s = -6 - -3. Which is the third smallest value? (a) -8 (b) s (c) -5 b Let z = -3 + 1. Let l = -102 - -102.07. Which is the second smallest value? (a) l (b) -0.3 (c) z b Let m = 0 - -0.1. Let k = 8 - 27. Let y = k + 14. Which is the third smallest value? (a) 5 (b) y (c) m a Let c = -7 - -11. Suppose -3*j + 5*g - 1 + 5 = 0, -3*j = 4*g + 14. Let r be j/4*(-3 + 1). What is the second smallest value in r, 2/3, c? r Let w = 76 - 72. Which is the third smallest value? (a) 1 (b) w (c) 1.9 b Let h be (8/12)/((-70)/(-45)). Which is the biggest value? (a) h (b) -16 (c) 0.2 (d) -2/3 a Let m = 3 - 6. What is the third biggest value in 1/5, m, 1? m Let t = 0.22 + -0.42. Which is the biggest value? (a) 3 (b) t (c) 2 (d) -0.3 a Let r = 2.2 + 0.8. Let m = r + -6. Let w = 2.7 + m. Which is the biggest value? (a) 5 (b) 1/2 (c) w a Let i(m) = -9*m + 25. Let h be i(-18). Let s be h/(-77) - 6/(-14). What is the biggest value in s, -3, 3? 3 Let n = -252/5 + 51. Let s be 4/(-6) + (-33)/(-9). Let h be (0 - s) + 1/2. Which is the third smallest value? (a) n (b) h (c) -1/4 a Let o = 2.2 - 0.2. Let j = o - -1. What is the second biggest value in -1/5, j, 0? 0 Let x = -0.1 - 0.4. Which is the third biggest value? (a) x (b) 2 (c) -1 c Let o = 54 - 52. What is the biggest value in -3, 0, o, -1? o Let s(g) = 2*g**2 - 6*g - 2. Let m be s(3). Which is the second biggest value? (a) -5 (b) -0.3 (c) m c Let f = 231145/6 + -38438. Let o = 131 - 217. Let m = f + o. Which is the second smallest value? (a) 2/11 (b) -2 (c) m c Let q = 0.27 + 3.73. Which is the third biggest value? (a) q (b) -2 (c) 0.2 b Let v be ((-8)/4 + 3)*3. What is the second smallest value in v, 5, -2/7? v L
{ "pile_set_name": "DM Mathematics" }
reatest common divisor of 96120 and 16272. 72 Calculate the highest common divisor of 27275 and 25. 25 Calculate the greatest common divisor of 15592 and 100. 4 Calculate the greatest common divisor of 3283 and 4221. 469 Calculate the greatest common factor of 874975 and 5425. 775 Calculate the highest common divisor of 18462 and 1020. 102 What is the greatest common divisor of 17 and 603687? 17 Calculate the highest common divisor of 5736 and 11784. 24 Calculate the highest common factor of 1611 and 2547. 9 Calculate the greatest common factor of 63252 and 17319. 753 What is the highest common factor of 16771 and 248? 31 What is the greatest common factor of 684 and 504? 36 Calculate the highest common factor of 789 and 771. 3 What is the highest common divisor of 46 and 117760? 46 What is the greatest common factor of 1195402 and 2392? 598 Calculate the highest common divisor of 3600 and 12800. 400 What is the greatest common factor of 167921 and 1313? 13 Calculate the highest common factor of 22287 and 114. 57 What is the greatest common factor of 1309 and 76329? 11 Calculate the greatest common factor of 1310 and 950274. 262 What is the greatest common factor of 11285 and 34160? 305 Calculate the greatest common factor of 7968 and 58847. 83 Calculate the highest common divisor of 8579 and 5497. 23 Calculate the highest common divisor of 3318404 and 4. 4 Calculate the greatest common factor of 17800 and 200072. 712 What is the highest common factor of 349 and 357376? 349 What is the greatest common factor of 1690857 and 21? 21 Calculate the highest common divisor of 9417 and 9. 3 Calculate the greatest common factor of 392 and 5635. 49 Calculate the highest common divisor of 2923 and 407. 37 Calculate the greatest common factor of 11914 and 985458. 1702 Calculate the highest common divisor of 710 and 980510. 710 What is the greatest common factor of 260 and 6287775? 65 Calculate the greatest common factor of 124 and 4215566. 62 What is the highest common factor of 248 and 2309128? 248 What is the highest common factor of 240 and 104760? 120 What is the highest common factor of 554636 and 13772? 1252 Calculate the highest common divisor of 5 and 189280. 5 What is the greatest common divisor of 4509 and 81496? 167 Calculate the highest common divisor of 2231 and 2254. 23 Calculate the greatest common divisor of 7084 and 4186. 322 Calculate the highest common divisor of 143134 and 7316. 118 Calculate the greatest common factor of 2288 and 37664. 176 What is the greatest common divisor of 88 and 35530? 22 Calculate the highest common factor of 384 and 2714496. 384 What is the greatest common factor of 32649 and 45? 3 What is the greatest common divisor of 14607 and 9477? 27 Calculate the greatest common divisor of 3764320 and 3360. 1120 What is the highest common factor of 99217 and 141? 47 Calculate the highest common factor of 111793 and 11. 11 What is the highest common factor of 33117 and 627? 57 Calculate the highest common divisor of 144 and 878264. 8 What is the greatest common factor of 18193 and 69? 23 What is the greatest common factor of 3723 and 2208? 3 What is the highest common divisor of 200 and 354850? 50 Calculate the highest common divisor of 32550 and 272800. 1550 What is the greatest common factor of 16 and 121328? 16 What is the greatest common divisor of 2926 and 61600? 154 What is the greatest common divisor of 426 and 1010046? 426 What is the greatest common divisor of 14058 and 1584? 198 Calculate the highest common divisor of 3 and 5541. 3 Calculate the highest common factor of 119911 and 605. 121 Calculate the greatest common factor of 150 and 10425. 75 What is the highest common factor of 9592 and 24948? 44 Calculate the greatest common factor of 208803 and 336. 21 What is the greatest common divisor of 164 and 68? 4 What is the greatest common factor of 46 and 155986? 46 What is the highest common factor of 138348 and 2684? 244 What is the highest common divisor of 33668 and 209? 19 What is the greatest common divisor of 84513 and 572? 143 Calculate the highest common divisor of 410684 and 13612. 332 Calculate the highest common factor of 11538 and 33332. 1282 What is the highest common factor of 6205 and 41245? 365 What is the highest common divisor of 111870 and 1130? 1130 What is the highest common divisor of 84855 and 25? 5 What is the greatest common divisor of 1356 and 46884? 12 Calculate the highest common divisor of 379 and 1463319. 379 Calculate the highest common factor of 1392 and 320392. 232 Calculate the highest common divisor of 11912 and 16. 8 What is the highest common factor of 119877 and 186? 93 What is the highest common divisor of 1719015 and 30? 15 Calculate the highest common divisor of 236613 and 78. 39 What is the greatest common factor of 7795 and 35? 5 Calculate the highest common factor of 6 and 46680. 6 What is the greatest common divisor of 7456 and 488? 8 What is the highest common divisor of 11322 and 14994? 306 Calculate the greatest common divisor of 2300 and 37076. 92 What is the greatest common factor of 426220 and 1212? 404 Calculate the greatest common divisor of 15048 and 543096. 1368 Calculate the greatest common factor of 3715 and 135. 5 What is the highest common factor of 9 and 431829? 9 What is the greatest common divisor of 7113015 and 126? 63 Calculate the highest common factor of 3579448 and 19. 19 Calculate the highest common divisor of 7680 and 144120. 120 Calculate the greatest common factor of 3270 and 114. 6 Calculate the highest common factor of 3108 and 47838. 42 Calculate the highest common divisor of 52 and 24622. 26 What is the highest common divisor of 15561 and 11609? 247 Calculate the greatest common factor of 108 and 23076. 36 Calculate the highest common divisor of 189316 and 530. 106 Calculate the greatest common factor of 360 and 4248. 72 What is the highest common factor of 19085769 and 443? 443 Calculate the highest common divisor of 101748 and 5856. 732 What is the greatest common factor of 15 and 22890? 15 Calculate the highest common divisor of 117428 and 155. 31 Calculate the greatest common divisor of 712411 and 1876. 469 Calculate the highest common factor of 366 and 83631. 183 What is the highest common factor of 5 and 7757? 1 What is the greatest common divisor of 53140 and 80? 20 What is the highest common divisor of 686 and 29547? 49 What is the highest common factor of 52 and 341172? 52 What is the greatest common factor of 218474 and 1878? 626 What is the greatest common factor of 152290 and 9700? 970 Calculate the greatest common factor of 1869705 and 45. 45 What is the greatest common factor of 28331 and 1066? 41 Calculate the highest common divisor of 20498 and 1369. 37 What is the highest common divisor of 23162 and 74? 74 Calculate the greatest common factor of 505 and 3242605. 505 Calculate the highest common factor of 20280 and 35. 5 What is the greatest common divisor of 1323 and 8967? 147 What is the greatest common divisor of 14308 and 6? 2 Calculate the highest common factor of 20740 and 460. 20 What is the highest common divisor of 80 and 1605? 5 What is the greatest common divisor of 87744 and 384? 192 What is the highest common divisor of 2184 and 11382? 42 Calculate the highest common factor of 332 and 812. 4 Calculate the greatest common factor of 20152 and 1374. 458 Calculate the greatest common factor of 27 and 736. 1 What is the greatest common divisor of 435998 and 7756? 554 What is the greatest common divisor of 112 and 11214? 14 What is the highest common divisor of 104 and 79196? 52 What is the greatest common factor of 156 and 132? 12 What is the greatest common divisor of 1142295 and 315? 105 What is the greatest common divisor of 246039 and 3? 3 What is the greatest common factor of 68 and 2428? 4 What is the highest common factor of 13671776 and 32? 32 What is the highest common factor of 5219 and 289? 17 Calculate the greatest common divisor of 15 and 150540. 15 Calculate the greatest common divisor of 311168 and 88. 88 Calculate the highest common divisor of 24 and 323186. 2 What is the highest common divisor of 135 and 460575? 45 Calculate the greatest common factor of 10 and 20223400. 10 Calculate the gre
{ "pile_set_name": "DM Mathematics" }
y**2 Expand (-5*h + 3*h + 3*h)*(-5*h + h + 6*h) - h**2 - 6*h + 3*h**2 + 18*h. 4*h**2 + 12*h Expand (-12 - 21 - 4)*(-3*q**3 - q**3 + 3*q**3) - q**3 - 3*q**3 + 5*q**3. 38*q**3 Expand (2*g + g + 0*g - g + 2*g - 2*g + (2 - 1 + 0)*(g - g - g))*(0*g + g - 2*g)*(-1 - 1 + 4). -2*g**2 Expand (-5*m + 2*m + 4*m)*(3 - 3 + m) - 9*m + 13*m**2 + 9*m. 14*m**2 Expand (-3*a - a + 3*a)*((0 + 0 + 2)*(2*a - 6*a + 3*a) - 3*a + 6*a + 7*a). -8*a**2 Expand (5*n**2 - 3*n**2 - n**2)*(-8*n - 5*n + n)*(-n + 3*n - n) + n**4 - 1 + 1. -11*n**4 Expand 0*h + 3*h + 2*h + (h - 2*h + 3*h)*(0 - 1 + 0)*(10 - 29 + 1). 41*h Expand (-4*u**3 + 3*u**3 - u**3)*(-1 + 1 - u) + 3*u**4 - 4*u**4 + 3*u**4 - 2*u**3 - 6*u**4 + 3*u**4 + u**4. 2*u**4 - 2*u**3 Expand 4*y**4 - y**4 - y**4 + (3*y**3 - y**3 - y**3)*(-12 + 3*y + 12) + (-y**2 + y - y)*(3*y**2 - 3 + 3). 2*y**4 Expand (-4*k**3 + 2*k**3 + k**3)*(6*k**2 + 2*k**2 + k**2). -9*k**5 Expand (-l + l + 2*l)*(-1 + 2 + 0) + 1 + 1 + 0 + 2*l. 4*l + 2 Expand -4*a**5 + 3*a**5 + 2*a**5 + (-3*a + 4*a - 2*a)*(a - a - 2*a**4) - 4*a**5 + 3*a**5 - 9*a**5. -7*a**5 Expand (0*c**3 - 3*c**3 + 0*c**3)*(3*c - 3*c - c) - 2*c + 242*c**2 - 242*c**2 - 7*c**4. -4*c**4 - 2*c Expand t**5 + 0*t**5 - 3*t**5 + (-3 + 7*t**2 - 3*t**2 + 4)*(2*t**3 + t**3 - 2*t**3 + (t**2 + t - t)*(-3*t + 4*t + 0*t)). 6*t**5 + 2*t**3 Expand (-3*o + 7*o - o)*(1 + 4 - 2). 9*o Expand (-3 - 1 + 3)*(-2*r**3 - r**3 + 5*r**3) + (33 - 33 - 47*r)*(-r**2 + 2*r**2 + 0*r**2). -49*r**3 Expand -3*o**2 + 39*o**2 + 39*o**2 + (-3*o + 5*o - 3*o)*(-3 - o + 3). 76*o**2 Expand (-5 - 2*j**2 + 5)*(0*j + j + 4*j) + 6 + j**3 - 6. -9*j**3 Expand (-7*n**2 + 2*n**2 + 0*n**2)*(3 - 3 + 2*n)*(-n**2 - 4*n**2 + 3*n**2). 20*n**5 Expand (-1 + 0 + 0)*(2*o - 3*o + 3*o)*(0 + 4 - 2). -4*o Expand (3*k + 16*k - 3*k)*(-3 + 7 - 3)*(0 - 1 - 1). -32*k Expand 0 + 0 - k**2 + (-k - k + 3*k)*(0 + 2*k + 0) + 8*k**2 - 2*k**2 + 0*k**2. 7*k**2 Expand ((-k**2 - 3 + 3)*(-2 + 1 - 1) + 4*k**2 - k**2 - 4*k**2 + 3 - 4*k**2 - 3 - k**2 - k**2 + 0*k**2)*(2 + 0 + 0 + 3*k). -15*k**3 - 10*k**2 Expand (-11*m - m - 4*m)*(-6 + 1 + 3). 32*m Expand (2*b - 2 + 2)*(2 - 4 + 1) + (6*b - 4*b - 3*b)*(-3 + 0 + 4). -3*b Expand 164*g - 13*g**5 - 164*g + (2*g**3 + g**3 - 2*g**3)*(-g + 3*g - g)*(4*g - g - g)*(-1 + 0 - 1). -17*g**5 Expand -2*b**2 + b**2 - b**2 + (3*b - b - b)*(-10 + 10 + b). -b**2 Expand (2*g**2 + 3*g**2 - 3*g**2)*(-7*g**2 + 3*g**2 - 18*g**2). -44*g**4 Expand -g**3 + 4*g**2 - 4*g**2 + (263 + 38*g**2 - 263)*(-2*g + 3*g - 2*g). -39*g**3 Expand -d**3 + d**3 - d**4 + 3*d**4 + 0*d**4 - 5*d**4 + (-2*d**2 - 2*d**2 + 3*d**2)*(3*d**2 - d**2 - d**2) + d + 2*d**4 - d + 33*d - 33*d - 3 + d**4. -d**4 - 3 Expand (0 - 2*y + 0)*(10 - 6 + 10). -28*y Expand (-5*r + 4*r + 5*r)*(6 + 0 - 2)*(r + r**3 - r)*(0 + 0 + 2*r). 32*r**5 Expand (-11 + 11 + 20*v**3)*(-v + 0*v + 2*v)*(-3*v + v + 0*v)*(0 + 3 - 2). -40*v**5 Expand (-5*q + 1 + q - 2*q**2 + 6*q)*(-5*q**3 + 2*q**3 - q**3). 8*q**5 - 8*q**4 - 4*q**3 Expand (3*h - 3*h + 2*h)*(2*h**4 - 2*h**4 - 2*h**4) + 3*h**2 + 13*h**5 + 4*h**3 - 10*h**5 - 2*h**3. -h**5 + 2*h**3 + 3*h**2 Expand (-1 + 2*a + 1)*(-38*a**4 + 5 - 5) + (2*a**3 + 0*a**3 + 0*a**3)*(-a**2 + 2*a**2 + 0*a**2). -74*a**5 Expand (7*m + 2*m + m)*(0 + 0 - 2) - 4 - 2*m + 4. -22*m Expand (-1 - 3 + 2 + (-3 + 2 - 1)*(1 + 1 + 0) + (1 - 4 - 1)*(-2 - 1 + 2))*(6*c - 2*c + c). -10*c Expand (-10*c + 10*c - 2*c**3)*(2*c - 2*c - 2*c**2) - 3*c**2 - 2*c**5 - 2*c**3 + 2*c**3. 2*c**5 - 3*c**2 Expand (-h + 2 - 2)*(-4 + 2*h**3 + 4) - h**4 + 0*h**4 + 0*h**4 + (-4*h**4 + 2*h**4 + h**4)*(1 + 0 + 1) + 5 - 5 - 4*h**4. -9*h**4 Expand -4*u**3 - 2*u**5 + 4*u**3 + (-u**2 + 2 - 2)*((3*u + 2*u - 3*u)*(u - u - 2*u**2) + 2*u**3 + 0*u**3 - u**3 - 7 + 6*u**3 + 7). -5*u**5 Expand ((3*c - 2*c + c)*(10 - 10 - 5*c) + 5*c**2 - 3*c**2 - 3*c**2)*(c + 4*c - 3*c). -22*c**3 Expand t**3 + 2*t**2 - 2*t**2 + (2 + 1 - 5)*(0*t**3 + 0*t**3 + t**3) + (-t**2 + t**2 + t**2)*(4*t - 4*t + t) + 5*t**3 - 2*t**3 - t**3. 2*t**3 Expand (3*a + 2 - 1 + 0)*(-1 + 0 - 1). -6*a - 2 Expand (-3*m + 2*m + 3*m)*(3*m**3 + 0*m**3 - 2*m**3)*(3*m - 2*m - 2*m). -2*m**5 Expand (b + 14*b**2 - 2 - 14*b**2 + 2*b**3)*(-2 + 2 + 3*b). 6*b**4 + 3*b**2 - 6*b Expand -4*i**2 - 3*i**2 + i**2 + (-3*i + 3*i - i)*(-2*i - 5 + 5) - 2*i - 2*i**2 + 2*i + (2 - 2 - i)*(5*i - 2*i - 2*i) + 2*i**2 - i + i. -5*i**2 Expand (3*d - 2 + 2*d - 8*d + (1 - 3 + 0)*(-d - d + 0*d))*(7*d**3 - 2*d**3 + 7*d**3). 12*d**4 - 24*d**3 Expand (2*y + 0*y + y)*(3*y**2 - 3 + 9 - 1). 9*y**3 + 15*y Expand (3 - 5 + 0 - 3 + 3 + 1 + (2 - 2 + 1)*(2 + 0 + 0) + 6 - 3 - 1 - 3 + 7 + 0)*(-3*j**5 + 0*j**5 + 5*j**5) + 3*j**5 - 2*j**5 + j**5. 16*j**5 Expand (-2*m + 3*m - 1 + m)*(m**4 - 3*m**4 + m**4 + (m + 2*m**3 - m)*(-2*m - 2*m + 5*m)). 2*m**5 - m**4 Expand (-3*k + 0*k + 4*k)*(7*k - 11 + 11)*(3*k**2 - k**2 + k**2). 21*k**4 Expand (-3*u**2 - u**2 + 3*u**2)*(u**3 + u**3 + 0*u**3)*(-1 - 1 + 3). -2*u**5 Expand (0*z - 2 + 2*z + 1)*(22*z**2 - 2*z + 2*z). 44*z**3 - 22*z**2 Expand (2*h + 0*h - 5*h)*(1 + 1 + 6). -24*h Expand 3*c - 4*c - c + (2 - 3 - 4)*(2*c - 3*c - c). 8*c Expand (-3 + 3 - 2)*(2*z**2 - 22*z + 22*z) - z**2 + 5*z**2 - 5*z**2 + (2*z - 1 + 1)*(4*z - z - 4*z). -7*z**2 Expand (14*t + 2*t**2 - 14*t + 8)*(-3 + 0 + 5). 4*t**2 + 16 Expand ((3*a - a - 4*a)*(-1 + 5 - 3) - 4*a + 3*a - a - 2 - 2*a + 2)*(-20 + 14 - 32). 228*a Expand (4*y**3 - 5*y**3 + 8*y**3)*(3 - 3 - 3) - 2*y**3 + y**3 + 3*y**3. -19*y**3 Expand (0 - 1 + 3)*(-2 + 5 - 2 - 1 - 2 + 2 + (7 - 3 - 1)*(1 + 1 - 4))*(h - 6 + 6). -12*h Expand ((1 + 1 - 1)*(1 + 2 - 4) + 63 - 9 + 18)*(-2 - 1 + 2)*(-2*i**5 + i**2 - i**2). 142*i**5 Expand (191 - 191 + 7*y)*(-y + 3*y - 4*y + 0*y + 2*y - 4*y + (1 - 1 - 2)*(-3 + y + 3)). -42*y**2 Expand (w**2 - 2*w**2 + 2*w**2)*(2*w**2 - w**2 + w**2) + 3*w**4 - 4*w**4 + 2*w**4 + 0*w**4 + w**4 + w**4 + (-2*w**3 + w**3 + 2*w**3)*(-3*w + 0*w + 5*w). 7*w**4 Expand (0 + 0 - 4*k)*(3 + 3 + 2*k - 8). -8*k**2 + 8*k Expand -k**4 - 3*k**4 + 0*k**4 + (k - k - 5*k**2)*(k**2 - k + k). -9*k**4 Expand (-2*f**2 - 1 + 1)*(2*f**2 + 0*f**2 - 3*f**2) - f**4 - 10*f + 10*f. f**4 Expand 4*t**4 - 4*t**4 - t**5 + (-2*t + 2*t**5 + 2*t)*(-1 + 4 - 1) + 0*t**5 - 2*t**5 + 5*t**5 - 2*t**5 + 2*t**5 + 2*t**5. 8*t**5 Expand (0 + 0 + 2*a**2)*(10*a**3 - 5 + 5). 20*a**5 Expand (-3*d - 16*d + 4*d)*(-2*d + 1 - 1). 30*d**2 Expand (-4*s**2 + 3*s**2 - 3*s**2)*((-1 - 1 + 1)*(4 - 1 - 1) + 2 - 1 - 2). 12*s**2 Expand -2*k**5 - k**5 + 26*k**5 + (-2*k**4 - 2*k**4 + 2*k**4)*(2*k + 0*k + 0*k). 19*k**5 Expand (9 + 4 + 2)*(-5 + 2 + 5 + (-2 - 1 + 2)*(-3 - 3 + 5) + 3 - 1 - 3)*(-2*k + 3*k - 2*k). -30*k Expand 19*i**5 - 16*i**4 + 16*i**4 + (-3*i - 1 + 1)*(3*i**4 - 4*i**4 - i**4). 25*i**5 Expand a**4 + 4 - 4 + (3*a**2 - a**2 + a**2)*(15*a**2 + 12*a**2 - 21*a**2). 19*a**4 Expand (-38 + 19 - 14)*(3*v - 4*v + 3*v). -66*v Expand 2*c**2 + 4*c - 4*c + (-2*c + 2 - 2)*(0*c - 4*c + c) + 2*c**2 - 4*c**2 + c**2. 7*c**2 Expand (-175 - 11*f**2 + 175)*(-4*f + f + 0*f). 33*f**3 Expand (-2*f - 2*f + f)*(4 - 6 + 3)*(f**4 - 1 + 1). -3*f**5 Expand (y - 2*y**2 - y)*(-3*y + y + y) - 2*y**3 + 6*y**3 - 8*y**3. -2*y**3 Expand (2 - 4 + 3)*(6 + x - 6)*(2*x**2 - 8*x**2 + 2*x**2). -4*x**3 Expand (x**3 - 4*x + 4*x)*(3*x - 1851 + 1851) + x**4 + 4*x**4 - 4*x**4 + 0 + 0 - x**4. 3*x**4 Expand (2 + 12*t - 2*t**2 - 12*t)*(t**2 - 3*t**2 + 4*t**2 + (2*t - 2*t + 2*t**2)*(1 + 1 - 3) + 2*t**2 - 5*t**2 + t**2). 4*t**4 - 4*t**2 Expand (-5 + 3 - 1)*(f**5 + f**5 - 3 - f**5). -3*f**5 + 9 Expand (18 - 18 - 19*c**2)*(c**3 - 3*c**3 + c**3). 19*c**5 Expand 4*z**3 + 0*z**3 - 2*z**3 + z**3 + 0*z**2 + 0*z**2 + (0*z - z**2 + 0*z)*(2*z + 0*z - 3*z) + 5*z**2 + 21*z**3 - 5*z**2 + 2*z**3 - 3 + 3. 27*z**3 Expand (31*x**2 - 41*x**2 - 25*x**2)*(5 - 3 + 0)*(3*x**2 + x**2 - 3*x**2 - x**2 - x**2 + 3*x**2 + (-x + x + x)*(x - x + x) - 2*x + 2*x - x**2). -140*x**4 Expand (51 + 21*z**3 - 51)*(5 - 4 + 0)*(-1 + 0 + 2). 21*z**3 Expand 0*j**3 + j**3 + 0*j**3 + (-6 + 3 + 4)*(0*j**3 + 0*j**3 + 2*j**3) + 2*j**2 - j**3 + 4*j**2 - 4*j**2. 2*j**3 + 2*j**2 Expand (28 + 4*m**4 - 28)*(m - m - 2*m) + (m**3 - m + m)*(-3*m + 2*m**2 + 3*m). -6*m**5 Expand (-1 + 2 - 3)*(67 - 67 - 5*u)*(1 - 1 - 3*u + (-4 + 4 + 2*u)*(1 + 0 + 0)). -10*u**2 Expand 3*r**2 - 2*r**2 + r**2 + (-25 + 25 - 3*r)*(0*r + r - 2*r) - 4*r**2 + 4*r**2 + 2*r**2. 7*r**2 Expand (0 + 0 + 3*y)*(1 - 4 - 2). -
{ "pile_set_name": "DM Mathematics" }
*x - 39794. 58763 What is the third derivative of -2*f**2*k**4 + 113636*f**2*k**3 + 36717*f**2*k**2 wrt k? -48*f**2*k + 681816*f**2 Find the second derivative of 147445*a**2*k - 77149*a*k + k wrt a. 294890*k Find the third derivative of 48141*l**4 - l**3 + 526*l**2 + 12*l wrt l. 1155384*l - 6 What is the second derivative of k**2*v**3 + 28*k**2*v**2 + 121*k**2 + k*v**3 + 616*k*v - 4*v**3 wrt k? 2*v**3 + 56*v**2 + 242 What is the second derivative of 86*b**2*m*v**3 - 13*b**2*m*v - 2*b**2*m + 5*b**2*v**2 + 3*b**2*v + 61*v**3 + 952*v wrt v? 516*b**2*m*v + 10*b**2 + 366*v Differentiate -5487068*l**4 - 3852929. -21948272*l**3 What is the second derivative of -4*b**5 - b**4 + 159*b**3 - 43222*b wrt b? -80*b**3 - 12*b**2 + 954*b What is the second derivative of -256*u**4 + 8*u**2*w**3 + 2*u*w + 11*u - 14*w**3 + 6*w wrt u? -3072*u**2 + 16*w**3 Differentiate 32*o**2*p - 113*o**2 - 7425*p**3 - 3446 wrt p. 32*o**2 - 22275*p**2 What is the second derivative of 4*g**4 + 689882*g**2*x**2 + 2*g*x**2 - 11*g - x**2 + 12808 wrt g? 48*g**2 + 1379764*x**2 What is the second derivative of 122472*g**3 - 25602*g? 734832*g What is the second derivative of a**4 - 15*a**3*r - 28*a**2*r - 30*a*r + a + 26*r wrt a? 12*a**2 - 90*a*r - 56*r What is the third derivative of a**4*f + 134*a**4 - 14*a**3*f + 2*a**3 - a**2*f + 18*a*f - 925 wrt a? 24*a*f + 3216*a - 84*f + 12 Find the first derivative of -50*l**4*v**2 + l*v + 352*l - 378544*v**2 wrt l. -200*l**3*v**2 + v + 352 Find the second derivative of -50256*c**4 - 15437*c wrt c. -603072*c**2 Find the third derivative of 227061*h**3 - 5*h**2 + 494414*h wrt h. 1362366 What is the first derivative of -499*j*z - 132*j + 226*z + 153 wrt z? -499*j + 226 What is the first derivative of -2151410*m - 3004493? -2151410 What is the third derivative of 134877*b**5 + 8376*b**2 + 8*b wrt b? 8092620*b**2 Find the second derivative of 114466*g**3 - 219331*g. 686796*g What is the derivative of 1078104*v**3 - 2149168 wrt v? 3234312*v**2 What is the third derivative of -243954*d**3 - 450550*d**2 wrt d? -1463724 Find the third derivative of 14350*k**2*l**3 + 3*k**2*l**2 - 15161*l**2 wrt l. 86100*k**2 Find the second derivative of 12624*j**4 + 70880*j wrt j. 151488*j**2 What is the second derivative of -69349*x**4*y - x**4 - 148*x*y - 2952*y wrt x? -832188*x**2*y - 12*x**2 Find the third derivative of 56742*x**3 + 2*x**2 - 536*x - 56. 340452 What is the second derivative of 18*j**3 - 89*j**2 - 27056*j? 108*j - 178 Differentiate -3*b**2*j - 428*b**2 - 3*b*j - 18*b - 4027*j - 8 wrt b. -6*b*j - 856*b - 3*j - 18 Find the third derivative of -2*s**6 - 360145*s**5 - 19*s**2 - 16665*s wrt s. -240*s**3 - 21608700*s**2 Find the second derivative of -23868*q*v**5 - q*v**4 + 34*q*v + 8781*q - v wrt v. -477360*q*v**3 - 12*q*v**2 Find the first derivative of -16474*l*r**3 + l*r - l + 2*r + 54111 wrt r. -49422*l*r**2 + l + 2 What is the third derivative of -21*d*q**3 + 2*d - 2591*q**4 - 26709*q**2 - 5*q wrt q? -126*d - 62184*q Find the first derivative of -13194*q**3 + 140138 wrt q. -39582*q**2 Find the first derivative of 2773*s**4 + 3*s**3 + 7485 wrt s. 11092*s**3 + 9*s**2 Find the second derivative of -4849733*t**4 - 307*t - 89. -58196796*t**2 Differentiate -63015*h**3 + 2*h + 112705 wrt h. -189045*h**2 + 2 What is the third derivative of 7*d**4*x**3 + 2*d**2 - 30562*x**3 wrt d? 168*d*x**3 Find the second derivative of -d**3*v**2 + d**3*v + 12*d**3 + 16429*d**2*v - 4091*d*v**2 + 21*v**2 wrt v. -2*d**3 - 8182*d + 42 Find the second derivative of 3*b*m**4 + 729*b*m**3 + 255530*b*m + b + 3*m**5 wrt m. 36*b*m**2 + 4374*b*m + 60*m**3 What is the second derivative of -56129*q**5 - 9045*q - 6? -1122580*q**3 Differentiate 891974*r - 248976 wrt r. 891974 Find the second derivative of -6500*w**3 + 4*w**2*z**2 - 2*w**2*z + w**2 - w - 511039*z**2 wrt w. -39000*w + 8*z**2 - 4*z + 2 Differentiate -2*m**3*u**2 + 6*m**3 + 18*m - 2583*u**3 - 5 with respect to u. -4*m**3*u - 7749*u**2 What is the third derivative of 202177*l**3 - 60312*l**2 wrt l? 1213062 What is the third derivative of -165271*p**6 - 157732*p**2 wrt p? -19832520*p**3 Find the second derivative of -11782*v**2*z + 9*v**2 + 13*v*z - 104*v + 2*z - 7 wrt v. -23564*z + 18 What is the second derivative of 25361*t**3 + 7*t**2 + 3001492*t? 152166*t + 14 Find the third derivative of 30943*i**4 - 2*i**3 + 20999*i**2 - 4 wrt i. 742632*i - 12 What is the second derivative of -3*q**3 + 19694*q**2 + 275*q + 101 wrt q? -18*q + 39388 Find the second derivative of -121*p**3*y**2 + 38*p**2*y**3 - p**2*y**2 + 105*p*y**3 - 18*p*y**2 - 4*p*y wrt p. -726*p*y**2 + 76*y**3 - 2*y**2 Find the second derivative of 544508*u**4 - 13736*u - 32. 6534096*u**2 What is the first derivative of -y**3 - 65*y**2 + 39*y - 112687 wrt y? -3*y**2 - 130*y + 39 What is the second derivative of -12465*w**2 + 41437*w wrt w? -24930 Differentiate 37*f**3*x - 581*f*x**3 - 51693*x**3 - x**2 + 13 wrt f. 111*f**2*x - 581*x**3 What is the third derivative of -54545*n**5 + 93*n**2 + 91? -3272700*n**2 Find the first derivative of 170*r*t*x*y**3 + 3*r*t*y + r*y**3 - 27*r*y**2 + 4*t*x*y + 31*t*y**3 + 2*x*y**2 wrt x. 170*r*t*y**3 + 4*t*y + 2*y**2 What is the second derivative of -12*l**2*z**2 - 4*l**2*z + 65*l*z**2 - 3*z**4 - 73260*z wrt z? -24*l**2 + 130*l - 36*z**2 What is the derivative of -41837*g**2 - 56851 wrt g? -83674*g Find the third derivative of -3*l*v**3 - 2*l*v**2 + 58594*l*v - 187*v**4 - 165*v**3 wrt v. -18*l - 4488*v - 990 Find the first derivative of 215*z**4 - 35*z + 66099. 860*z**3 - 35 What is the second derivative of 285890*k**5 + 1973*k? 5717800*k**3 Find the first derivative of -428490*g - 1137555 wrt g. -428490 Find the second derivative of -29*j**2*v**3 - 366*j**2*v**2 - 11*j**2*v + j**2 - j*v + 2*j + 8*v wrt v. -174*j**2*v - 732*j**2 Differentiate 2*k**2*l**3 + 48591*k**2 + 73*l**3 wrt l. 6*k**2*l**2 + 219*l**2 Differentiate 4*d**3*s**2 + 2*d**3*s - 3*d**3 - 2*d**2 + 17039*d - 1788*s**2 with respect to s. 8*d**3*s + 2*d**3 - 3576*s What is the derivative of 1052387*q**4 + 383753 wrt q? 4209548*q**3 What is the second derivative of -3172576*p**2*q - 136*p*q - 2473 wrt p? -6345152*q Differentiate l**3 - 13*l**2*p - l*p - 30*l + 64347*p with respect to l. 3*l**2 - 26*l*p - p - 30 What is the second derivative of 776164*l**2 - 4290616*l wrt l? 1552328 Find the third derivative of -3463*m**4 + 4*m**3 + 18*m**2 - 22*m + 5 wrt m. -83112*m + 24 What is the third derivative of 88059*w**4 - 147*w**2 - 19*w wrt w? 2113416*w What is the derivative of 1533*n**2 + n + 55809? 3066*n + 1 Find the second derivative of -87*c**3*g**2 - 8*c**3*g*j + 14*c**3*g - 2*c**3*j + 3*c*g**2*j - c*g**2 + 3*c*g*j + g**2*j wrt g. -174*c**3 + 6*c*j - 2*c + 2*j What is the third derivative of 139*h*q**3 + 48363*h*q**2 + 206*q**5 - q**2 wrt q? 834*h + 12360*q**2 What is the first derivative of 114*b**3*v**2 - 293*b*v**2 + 108632*v**2 wrt b? 342*b**2*v**2 - 293*v**2 Find the third derivative of 170936*i**3 + 203678*i**2 wrt i. 1025616 What is the third derivative of -38456*c**3 + 12212*c**2? -230736 What is the first derivative of -4*g**2*u - 4*g**2 + 8*g*u - 28*g - 2533126*u wrt g? -8*g*u - 8*g + 8*u - 28 Find the first derivative of 2026696*x**2 - 4670837 wrt x. 4053392*x What is the second derivative of 1410924*t**5 - 1010291*t? 28218480*t**3 Differentiate -b**2*n**2 - 2*b**2 - 4*b*n + 14568*b*s + 10*n*s + 4*n wrt n. -2*b**2*n - 4*b + 10*s + 4 Differentiate 2*h**3*t - 2*h**3 - 102091*h**2*t**2 - 1683468*h**2 with respect to t. 2*h**3 - 204182*h**2*t What is the third derivative of 517445*b**3 - b**2 + 59582*b wrt b? 3104670 Find the second derivative of 7465*k**2*l**4 - 2*k**2*l + 50*k*l + 43*l wrt l. 89580*k**2*l**2 Find the third derivative of 1262246*q**4 - 121144*q**2 + 9 wrt q. 30293904*q What is the second derivative of -2104*c**3 - 32*c**2 - 18*c + 3104 wrt c? -12624*c - 64 What is the second derivative of -2737*q**4 + 22*q**3 + 19533*q - 2 wrt q? -32844*q**2 + 132*q Find the third derivative of 296146*c**3 - 64367*c**2 + 3*c wrt c. 1776876 Find the second derivative of -328*a**5 - 42*a**3 + a**2 - 3*a + 2455 wrt a. -6560*a**3 - 252*a + 2 Differentiate -2010*m**3*p**2 + 15188*m**3 + 14*p**3 wrt p. -4020*m**3*p + 42*p**2 Differentiate -4985*c - 23483. -4985 What
{ "pile_set_name": "DM Mathematics" }
2*u. Let r = -1786 + 1826. Calculate the greatest common divisor of u and r. 8 Suppose 5*t - 75 = -2*b, b = -0*b + t + 41. Let g = 147 + -131. Calculate the greatest common factor of b and g. 8 Let a be (-1 + -5)*(-2)/4. Suppose -a*o - 8 = 73. Let w = -7 - o. What is the greatest common divisor of w and 8? 4 Suppose -4*l + 163 = -109. Let s be l + (-6)/(-1 - 1). Let m = s + -20. What is the highest common divisor of 34 and m? 17 Suppose -4*s + 7*s - 6 = 0. Let g be 80/36 - (-2)/(-9). Suppose 3*c = g + 1. Calculate the highest common factor of c and s. 1 Suppose 0 = -4*b - y + 389, 3*b - 5*b + 4*y + 208 = 0. Calculate the greatest common divisor of b and 28. 14 Let u = -173 + -129. Let k(c) = 3*c**2 - 7*c + 7. Let b be k(4). Let g be 6/b - u/18. What is the greatest common factor of 119 and g? 17 Let h be (-218)/(-6) + 1/(-3). Suppose -5*u + 3*p = -54, -3*u = -4*u + 4*p + 21. What is the greatest common factor of u and h? 9 Suppose 2*m - 18 = -b - 0*m, -4*m - 12 = -b. Let d be ((-21)/6)/((-2)/b). Calculate the greatest common divisor of 4 and d. 4 Suppose 2*d + d + 60 = 0. Let v = d - -24. Suppose 0 = 3*m - v*m + 72. Calculate the highest common factor of m and 8. 8 Let o be (-8)/6*15/(-2). Let c(q) = -q**2 - 107*q + 258. Let k be c(-109). What is the highest common factor of k and o? 10 Let b = 156 - 133. Calculate the highest common divisor of b and 115. 23 Let z(q) = 11*q + 6. Let h be z(6). Suppose -6*d - 1 + 43 = 0. Let g be (-1 + 0)/(d + 192/(-27)). What is the highest common divisor of h and g? 9 Let h(z) = 70*z + 445. Let m be h(-6). Let r(n) = -n**2 + 4. Let t be r(0). Let b be 519/21 + t/14. Calculate the highest common divisor of m and b. 25 Suppose 68 = 4*a + h, 0 = a - 2*a + 5*h + 38. Suppose 0 = 4*n - 12*n + 216. What is the greatest common factor of a and n? 9 Let r be 794/12 - (-13)/(-78). Suppose -3*l = 2*x - r, -l - 3*x = -0*l - 15. What is the greatest common divisor of l and 3? 3 Let u = -396 + 418. Let z = 11 - 23. Let v = z - -23. Calculate the greatest common factor of v and u. 11 Suppose -1451 = -34*l + 2357. What is the greatest common divisor of l and 48? 16 Let j(m) = m**3 + 10*m**2 + 8*m + 8. Let o be j(-7). Let l be 2/(-3)*-33 + 3. Let r = 36 - l. What is the greatest common factor of r and o? 11 Suppose -7*o - 456 = -19*o. What is the greatest common divisor of 418 and o? 38 Let o(m) = 2*m**2 - 2*m + 2. Let i be o(-4). What is the greatest common divisor of 56 and i? 14 Let r be 108 + 3*(-3)/(-9). Suppose 4*q + 5 = r. Let c(x) = -x**3 - 4*x**2 + 3*x + 3. Let t be c(-5). Calculate the greatest common divisor of q and t. 13 Suppose 865 = 3*z + 37. Let h be 2 - (9/3 - z). What is the highest common factor of 25 and h? 25 Suppose -25 = -5*u - 5*f, -15 = -4*u + 4*f + 45. Let m = 371 - 219. Suppose m - 52 = 5*n. Calculate the greatest common divisor of n and u. 10 Let g be 7570/35 - 10/35. Let z be (-73)/(-3) + 1/(-3). Calculate the greatest common divisor of z and g. 24 Suppose -5*g + 690 = -p, 4*g + 3*p + 690 = 9*g. Calculate the highest common factor of 66 and g. 6 Let c(m) = -128*m**2 + 2*m + 2. Let f be c(-1). Let x = -201 + 111. Let b = x - f. Calculate the highest common factor of 57 and b. 19 Let o be ((-4)/8 - 1)/(18/(-828)). Calculate the greatest common factor of o and 552. 69 Suppose -40*r = -3778 + 418. Calculate the highest common divisor of r and 105. 21 Let x = 215 - 200. What is the greatest common divisor of x and 55? 5 Suppose -6*l - 10 = -82. Let a = l - 0. Calculate the greatest common divisor of a and 8. 4 Let z be 2/(-10) - (-218)/(-10). Let d be z/77 + (-794)/14. Let a be d/(-2)*(-20)/(-15). Calculate the highest common factor of a and 95. 19 Let a be 8*(-440)/16*236/(-40). Calculate the greatest common divisor of 22 and a. 22 Let j = 59 + -1. Let q = j - 46. Calculate the greatest common factor of q and 36. 12 Let s = 28 + -8. Let z be 1244/s + -6 - 1/5. Let a = 51 + 33. Calculate the greatest common factor of a and z. 28 Suppose -103*a = -32*a - 781. What is the highest common factor of a and 396? 11 Let j(k) = -k + 11. Suppose -4*q - q = 155. Let v = -25 - q. Let u be j(v). What is the greatest common factor of 1 and u? 1 Let b(j) = 45*j**2 - 4. Let n be b(6). Let s = n + -1018. Suppose 402 = 2*v - 3*k, 2*v - 2*k - s = -v. Calculate the greatest common divisor of 22 and v. 22 Let y be (-3)/((-2)/(-3)*180/(-400)). Calculate the greatest common divisor of y and 310. 10 Let g = -8 - -11. Let z be 2/7 + (-2000)/(-56). Suppose 0 = g*j - j - z. Calculate the highest common factor of j and 45. 9 Suppose 5*f = 4*p - 155, -5*f + 146 = 5*p - 14. Calculate the greatest common factor of p and 105. 35 Suppose -3*m = j - 89 - 85, 0 = 5*m - 2*j - 290. What is the highest common factor of 319 and m? 29 Let j = 718 - 606. Calculate the highest common factor of j and 14. 14 Let s(m) = 9*m**2 - 11*m - 4. Let v be (-50)/18 + 3 - 125/(-45). Let k be s(v). What is the highest common divisor of k and 11? 11 Suppose 3*o = 3, -o - 12 = -2*v + 147. Calculate the greatest common divisor of v and 120. 40 Suppose 3*y = 5*y - 326. Suppose 0 = 2*i - 3*k + 46, 3*k + 57 - y = 5*i. Let t = i - -58. What is the highest common divisor of 57 and t? 19 Suppose 5*p + 405 = 3*o, -o + p + 135 = 5*p. What is the highest common divisor of o and 5? 5 Let w be 6/27 + (-266)/(-18). Suppose -136*o - 1042 = 58*o - 50512. Calculate the highest common factor of w and o. 15 Let u be ((-4)/4)/((-5)/(-510)). Let n = u - -122. Calculate the greatest common factor of n and 20. 20 Let v(t) = -8*t - 236. Let q be v(-33). Suppose -2*b + 39 = 5*w, 5*b = 2*w - 8 + 62. Suppose b = -4*z + 7*z. Calculate the highest common divisor of q and z. 4 Let v(a) = a**2 - a + 5. Let g be v(0). Let b(j) = j**2 + 11*j - 16. Let s be b(-13). What is the greatest common factor of g and s? 5 Let k be 197/5 - (-2)/(-5). Let w(l) = 273*l**3 - l**2 - l + 2. Let t be w(1). What is the highest common factor of t and k? 39 Let v(r) = 5*r + 11. Let f be v(-6). Let n = f + 54. Suppose -5*m - u = -29, -2*m + 22 = -u + 4*u. What is the highest common divisor of n and m? 5 Let i be (-28)/(-112) - (-54)/8. Let w = 20 - 168. Let j = w + 211. Calculate the greatest common factor of j and i. 7 Suppose -w = w - 264. Let p = w + -131. Calculate the highest common divisor of p and 2. 1 Let t be (-22)/(-99) + 518/18. Let v(x) = -x + 35. Let h be v(t). What is the highest common factor of 6 and h? 6 Let o(d) = d**3 + 25*d**2 - 32*d + 4. Let v be o(-26). Calculate the highest common divisor of v and 20. 20 Suppose 256 = 4*p + 2*d, 3*p - 38*d = -41*d + 186. Calculate the highest common divisor of p and 88. 22 Suppose -5*b - t + 3*t + 302 = 0, -3*b + 166 = -5*t. Suppose -186 = -2*w - 2*u, 5*w - 6*w - 3*u = -93. Calculate the highest common divisor of w and b. 31 Let p(f) = f**3 + 5*f**2 - 25*f + 18. Let b be p(-7). Calculate the highest common divisor of b and 15. 5 Let u be (-1)/(-1)*(-27)/(-3). Suppose 87*w - 7440 + 2396 - 4352 = 0. What is the greatest common divisor of w and u? 9 Let k be 121 + (-70)/(-7) + -5. Calculate the highest common divisor of 28 and k. 14 Suppose -7 = 4*w + o + 13, 3*o = 3*w + 15. Let h be 3/2 + w/(-10). Let z be (2 - (h + -4))*14. What is the highest common divisor of 8 and z? 8 Let f = -142 + 76. Let j = -37 - f. What is the greatest common factor of 29 and j? 29 Suppose -39 = 4*a - 179. Suppose 14*g - 13*g = a. Calculate the highest common factor of 140 and g. 35 Let k(n) be the first derivative of n**3/3 + 3*n**2/2 + 2*n + 3. Let m be k(-4). Let i be (16/20)/(m/15). What is the highest common divisor of i and 1? 1 Suppose 3*m = 3*a - 237, 0 = -33*m + 29*m - 16. What is the greatest common divisor of 255 and a? 15 Let y(v) = -v + 2. Let i be ((-30)/(-5))/(1*-2). Let m be y(i). Suppose 6*p - 73 = p - x, p = -m*x + 5. What is the greatest common divisor of p and 90? 15 Let z(h) = h**3 + 23*h**2 + 18*h - 73. Let o be z(-22). Calculate the highest common factor of 40 and o. 5 Let n(l) = -6*l - 5. Let r be n(-2). Suppose 0 = 4*c + r - 51. Suppose 0 = 5*m - 4*p - 536 + 41, 4*m = 2*p + 396. What is the highest common divisor of c and m? 11 Let p be (-14031)/(-45) + (-5)/(-25). Calculate the highest common divisor of p and 195. 39 Let h be 3*1*(11 + -14). Let k(l)
{ "pile_set_name": "DM Mathematics" }
n) = n + 2. Let j be v(3). Suppose j*k + 2*d - 93 = -13, -k = d - 19. What is the remainder when y is divided by k? 13 Suppose 27*c - 133 = 1082. What is the remainder when 493 is divided by c? 43 Suppose 129 = -2*m - m. Let t = 21 + m. What is the remainder when 13 is divided by t/(-8) - (-1)/4? 1 Suppose -375*b + 367*b + 5888 = 0. Calculate the remainder when b is divided by 39. 34 Suppose -2*l - 2 = -24. Let x be 1*-1 - l/(-11). Suppose x = 3*c - 0*c - 57. What is the remainder when c is divided by 10? 9 Suppose 3*t - 5*f - 2 = -4*f, 0 = -3*f + 12. Suppose 5*k + 6*j - 245 = j, j = -5. What is the remainder when 1 + (t*k - -4) is divided by 29? 26 Let q(c) = -c**3 + 5*c**2 + 10*c - 7. Suppose -4*v - 10 = -34. Suppose -v*j + 0*j = -36. Calculate the remainder when q(j) is divided by 5. 2 What is the remainder when (-289)/2023 - ((-1016)/7 + 0) is divided by 34? 9 Let z = 281 + -235. What is the remainder when z is divided by 8? 6 Suppose -3*c = 2*p + c + 50, 10 = -2*p + 4*c. Suppose 4*v - 7*v = 9. Calculate the remainder when 9 is divided by (-2)/v + (-80)/p. 3 Suppose 7*m - 2*m - g = 21, -4*g + 16 = 5*m. Suppose -2*w - m*k = -116, -3*w + w = -2*k - 128. What is the remainder when 120 is divided by w? 58 Let i(g) = 87*g - 397. Calculate the remainder when i(5) is divided by 20. 18 Suppose 0 = -4*o + 4, 3*p + o - 68 = 35. Let l(q) = 4 - 3*q + q + 3*q - 2. Calculate the remainder when p is divided by l(10). 10 Let g(w) = -w**3 + 72*w**2 + 150*w - 77. What is the remainder when 235 is divided by g(74)? 22 Let n be -2*1*-10 + -3. What is the remainder when (n - 0) + 2 + -7 + 3 is divided by 4? 3 Suppose p = -8 + 42. Suppose -4*r = -k - p, r + 5*k + 3 - 1 = 0. What is the remainder when 29 is divided by r? 5 What is the remainder when (-291)/776 - 2/((-16)/34587) is divided by 173? 171 Let x(g) = g**3 + 9*g**2 - g + 11. Let k be x(-7). Let s = -79 + k. Calculate the remainder when s is divided by 20. 17 Suppose 0*q - 2*q + 66 = 2*g, 3*q - 2*g - 89 = 0. Calculate the remainder when q is divided by 23. 8 Let b(u) be the second derivative of -7*u**3/6 - 3*u**2 + 14*u. Suppose o + 2*o - 84 = -3*s, 25 = 5*s. Calculate the remainder when o is divided by b(-2). 7 Let z(h) = -2*h**2 - 5*h - 1. Let i be z(-4). Let a = -9 - i. Suppose -a*g + 1 = -23. What is the remainder when 17 is divided by g? 5 Suppose 0 = 3*v + 593 + 1. Let b = -167 - v. Let l = 11 + 0. Calculate the remainder when b is divided by l. 9 Suppose 84 = 4*a - 180. Calculate the remainder when 721 is divided by a. 61 Suppose -15*s = -2*o - 11*s + 272, -3*s - 559 = -4*o. Calculate the remainder when o is divided by 29. 26 Suppose 18 = -4*w - 2, w = 3*r - 146. Calculate the remainder when 119 is divided by r. 25 Suppose -187*r + 423 = -178*r. What is the remainder when r is divided by 39? 8 Let l = 5 - -16. Suppose -5*y - 45 = 5*t, -t + 4*y = 2*t + 20. Let o = t - -20. What is the remainder when l is divided by o? 9 Suppose 2*h = 4*h - 36. Let u(f) = f**3 - 13*f**2 + 6. Let i be u(13). Suppose i*w - 21 = 3*w. Calculate the remainder when h is divided by w. 4 Suppose 50 = 5*a + 4*x - 5, 4*a + x - 55 = 0. Calculate the remainder when 327/a - (-2)/10 is divided by 8. 6 Suppose -11*h - 6*h + 425 = 0. Calculate the remainder when 298 is divided by h. 23 Let h(i) = i**2 + i + 68. Let k be h(0). Suppose 0 = -4*a + w + 3*w + k, a + 4*w + 8 = 0. What is the remainder when 18 is divided by a? 6 Let p = 7 - 4. Suppose p*x - 165 = 8*x. Let o = x - -38. Calculate the remainder when 9 is divided by o. 4 Let n = 4 - -1. Let f = 7756 + -7736. What is the remainder when f is divided by n? 0 Suppose -3*i = -7 - 8. Let a = -775 - -798. What is the remainder when a is divided by i? 3 Let f be (-46)/(-5) - (-4)/(-20). Calculate the remainder when 8 is divided by f/4*(10/15 + 2). 2 Let k = 479 + -440. What is the remainder when k is divided by 5? 4 Let c = -58 + 35. Let s = -23 - c. Suppose -5*x - 5*u + 67 + 13 = 0, 3*x - 2*u - 63 = s. Calculate the remainder when 53 is divided by x. 15 Let c be (-1 + 0)/(2/(-1 - 5)). Suppose c*y + y - 125 = f, 3*f + 55 = 2*y. Suppose 5*z - 3*z = 22. What is the remainder when y is divided by z? 10 Suppose 0 = -4*t + x + 81, 3*t - 2*x - 61 = -x. Let v = t + -10. Let d(m) = 4*m**2 + 6*m - 1. Calculate the remainder when d(-3) is divided by v. 7 Let d = -778 + 831. Calculate the remainder when 627 is divided by d. 44 Let l = -85 + 88. What is the remainder when 30 is divided by l? 0 Let f(g) = -44*g + 51. What is the remainder when 20 is divided by f(1)? 6 Let z = 1875 - 1662. Calculate the remainder when z is divided by 46. 29 Let y(k) = 19*k**2 + 13*k + 14. What is the remainder when 338 is divided by y(-1)? 18 Let f(d) = 2 - 5*d**2 - 11*d**2 + 17*d**2 + 4. Let v be f(-8). Let n = v - 35. Calculate the remainder when n is divided by 18. 17 Let g be 3/15 + (-94)/(-5). Let l = g - 14. What is the remainder when 6 is divided by l? 1 Suppose -934 = 6*a - 1006. Calculate the remainder when 83 is divided by a. 11 Let b(a) = a**3 + 8*a**2 + 4*a. What is the remainder when b(-6) is divided by 630/50 + ((-8)/10)/(-2)? 9 Let t = 680 + -655. What is the remainder when 349 is divided by t? 24 Suppose 0 = -4*r + 40 + 152. Suppose -23*f - 156 = -25*f. Suppose 21*w - f - 279 = 0. Calculate the remainder when r is divided by w. 14 Suppose 5*l - 265 - 4755 = 0. What is the remainder when l is divided by 53? 50 Let i(a) = 23*a - 179. Calculate the remainder when 222 is divided by i(9). 26 What is the remainder when 123 is divided by (5964/35)/12 + 8/10? 3 Suppose -d = 2*d - 9. Let z be (-1)/(-1) - (-7 + 3). Suppose 5*i - 125 = -d*j, -z*j + 1 = -5*i - 194. Calculate the remainder when j is divided by 14. 12 Suppose 232 - 8 = 8*n. What is the remainder when 90 is divided by n? 6 Suppose -107 = 9*p - 440. Suppose -2*f - 5*k + 188 + 170 = 0, -2*f + 360 = 4*k. What is the remainder when f is divided by p? 36 Let k = -14 + 16. Suppose -5*o + 2*v + 129 = -2*v, -v + 62 = k*o. What is the remainder when o is divided by 11? 7 Let a(r) = r**2 + 2*r - 4. What is the remainder when a(-8) is divided by (-219)/(-9) - (-2)/(-6)? 20 Suppose 223*h - 202*h = 336. What is the remainder when 102 is divided by h? 6 Let x = -26 - -31. Suppose x*d - 35 = 5. Calculate the remainder when d is divided by 5. 3 Suppose -5*g + 3*r - 133 = 0, -2*g + 3*r = 2*g + 107. Let k = g + 46. Calculate the remainder when 37 is divided by k. 17 Suppose 3*j = -4*z + 1519, z + j - 374 = 6*j. Calculate the remainder when z is divided by 76. 75 Suppose -29 = -5*r - 3*u, -49*r = -52*r + 5*u + 31. What is the remainder when 102 is divided by r? 4 Let z = -25 + 125. What is the remainder when z is divided by 15? 10 Suppose -4 = -i, 36 = 3*v + v - i. Suppose 4*f + 0*f = -20, -2*g - 4*f + 138 = 0. What is the remainder when g is divided by v? 9 Suppose 7*k - 2577 + 1051 = 0. What is the remainder when k is divided by 37? 33 Let l(x) = x**3 - 5*x**2 + 6. Calculate the remainder when 12 is divided by l(5). 0 Let w(j) = j**2 - 2*j - 6. What is the remainder when w(5) is divided by 140/(-21)*((-38)/8 - -4)? 4 Suppose 0 = -4*o + 3*a + a + 36, -5*o - 3*a = -5. Let q = 9 + 33. Calculate the remainder when q is divided by o - -12*(-12)/(-8). 20 Let p(l) be the second derivative of -l**4/6 + 3*l**2 + 7*l. Let o(v) be the first derivative of p(v). Calculate the remainder when 47 is divided by o(-2). 7 Let j(t) = -6*t. Let f(v) = 9*v**3 - 2*v**2 - 1. Let i(n) = -n**2 - 1. Let c(g) = -f(g) + 2*i(g). Calculate the remainder when c(-2) is divided by j(-4). 23 Let o = 13 + 2. Suppose 0 = 11*i - o*i. Let r(d) = d + 29. What is the remainder when r(i) is divided by 6? 5 Suppose 38*r - 663 = 21*r. Calculate the remainder when 259 is divided by r. 25 Let z(q) = 9*q + 18. Let x = -376 - -416. What is the remainder when z(15) is divided by x? 33 Let n = 10 + 10. Suppose f - n = -f. Let t(o) = -o**3 + 21*o**2 + 49. What is the remainder when t(21) is divided by f? 9 Let u = 4 + -2. Suppose 3*t - 453 = -3*r, 3*t = -u*t + 3*r + 779. Calculate the remainder when t is divided by 39. 37 What is the remainder when 316 is divided by 7 - (-1605)/(-225) - (-242)/15? 12 Suppose 6*a + 36 = 5*a. Calculate the remainder when 21 is divided by (a/3)/(-4 + 2). 3 Calculate the remain
{ "pile_set_name": "DM Mathematics" }
(-20). Let r be y/(12/3) - 5. Put r, -3, -2, -5 in decreasing order. -2, -3, r, -5 Let k(g) = 4 + 0 + 3*g**2 + 5 + 16*g + 2*g. Let j be k(-6). Put j, 1, -2 in decreasing order. j, 1, -2 Let i = -570 - -2279/4. Put 0.3, -5, i, 29 in ascending order. -5, i, 0.3, 29 Let t be -3*16/(-12) + -3. Let w be ((-12)/2)/(9/(-6)). Let v be 1 + 2 + -1*w. Sort v, -5, t. -5, v, t Let p(x) = -5*x - 3. Let y be p(1). Let c = 8 + y. Suppose 4*u + 4 = -c*u. Sort 4, 0, u in decreasing order. 4, 0, u Let u = -394 + 404. Put -4, u, -3 in ascending order. -4, -3, u Let t(k) = -2*k**2 - 18*k + 22. Let g be t(-10). Put -1/22, g, -1/4 in decreasing order. g, -1/22, -1/4 Let a be 10*(-174)/(-285) - 6. Let c = 0 + -3. Let j be ((-6)/c)/(-1 - -6). Sort j, -5, a in decreasing order. j, a, -5 Let o(v) = v**3 + 5*v**2 - 9*v - 9. Let i be o(-6). Let r be (i/15)/((-1)/(-5)). Suppose 0 = 4*y - 10 - 6. Sort 5, r, y in decreasing order. 5, y, r Let b = 1930/11891 - -6/517. Put 1, 1/2, b in increasing order. b, 1/2, 1 Let c = -43 - -42. Let p(y) = -y + 7. Let m be p(5). Sort m, c, 2/17, 5 in increasing order. c, 2/17, m, 5 Let s be 22/55 - 21/15. Sort -3, s, 0, 5 in descending order. 5, 0, s, -3 Let k be (4 + -1 - 3/5) + 1. Sort 8, -0.2, k in descending order. 8, k, -0.2 Let b = -776 - -752.18. Let m = -24 - b. Let r = 0.22 - m. Put r, -0.5, 1/4 in descending order. r, 1/4, -0.5 Let f = -55.2 + 55. Let c = 0.6 + -0.4. Sort c, f, 11 in decreasing order. 11, c, f Suppose -11*u + 18*u - 273 = 0. Suppose -46*x + u*x + 14 = 0. Put x, 1, -5 in descending order. x, 1, -5 Suppose z = -3*x, -8*z = 5*x - 6*z + 1. Sort -9, 5, -2, x in descending order. 5, x, -2, -9 Let r(c) = 19*c + 90. Let f be r(-5). Sort -104, 2, f. -104, f, 2 Let g = 546.3 - 546. Sort -3, -1, 5, g in ascending order. -3, -1, g, 5 Suppose -223 = -5*k + z, -3*z = -2*k - 2*z + 91. Let n = -148/3 + k. Put -2/3, n, 0.5 in increasing order. n, -2/3, 0.5 Suppose 200*s = 196*s + 3*i + 1, 25 = 5*i. Suppose -2*a = -g - 12, -2*a - 3*a + 25 = 0. Sort 5, g, -5, s in ascending order. -5, g, s, 5 Suppose -5*f = -5*m - 10, 10*m + 9 = 4*f + 7*m. Sort 2, f, 2/7, -2/3 in descending order. f, 2, 2/7, -2/3 Let u = 49 + -28. Let b = 87/4 - u. Put b, -0.2, 0, -3 in decreasing order. b, 0, -0.2, -3 Let u(d) = d**2 + 2*d + 4. Let t be u(0). Let a be (-4)/10*-5*(-5)/50. Sort a, -3, t, -5 in descending order. t, a, -3, -5 Let o be (-30)/(-4)*28/35. Let h(j) = j**2 - 27*j + 109. Let b be h(5). Sort b, o, -3 in ascending order. -3, b, o Let j be 20/5 + 176/40*-1. Sort j, 0.4, 5, -7. -7, j, 0.4, 5 Let x(f) = f**3 + 40*f**2 + 110*f - 42. Let k be x(-37). Sort -3, -8, k. -8, k, -3 Let c be (((-2828)/35)/2)/(2/10). Let l = -199 - c. Let p = -9 - -3. Put p, -3, l in ascending order. p, -3, l Suppose -6*v + 387 = 393. Put -4, 5, v, 1 in ascending order. -4, v, 1, 5 Let i be (3/(-6)*0)/(-2). Suppose i = -c - 3, -3*w + 4*c - 1 = -10. Let o(z) = -2*z + 1. Let g be o(3). Sort w, 16, g in descending order. 16, w, g Let o = -3 + 5. Let b = o - 4. Let t = -8.91 - -13.91. Sort 1, t, b in decreasing order. t, 1, b Suppose -5*f + 2*f = -15. Let k = -6 + 8. Put f, k, -5 in decreasing order. f, k, -5 Let u be 10/6 + 4/(-6). Suppose 83*l = 70*l + 52. Put -3, u, l in increasing order. -3, u, l Let j = 59 + -409/7. Let u = -443/6 + 147/2. Put 2/13, u, j, 3 in decreasing order. 3, j, 2/13, u Let k = 1.535 - 1.535. Let p = 11 + -24. Let z = -8 - p. Sort 0.5, k, z in decreasing order. z, 0.5, k Let u = 106 - 30. Sort 0.4, u, 0. 0, 0.4, u Suppose 21 = -5*f - 59. Let d = -9 - f. Suppose -17 + d = -r. Put -1, r, 4 in increasing order. -1, 4, r Suppose 6 = -41*p + 44*p. Suppose -2*j + 2*j = 3*j. Put 1, j, p, -2 in descending order. p, 1, j, -2 Let f = -0.26 - -0.16. Let d = 0.4 + f. Sort d, 0.4, -1, -0.4 in decreasing order. 0.4, d, -0.4, -1 Let m = -10.4 - -31. Let k = m - -2.4. Put 5, -1, k, 1 in increasing order. -1, 1, 5, k Let s = -5 - -7. Let l be (-14)/105 + (-8)/(-15). Put l, -4, s in decreasing order. s, l, -4 Suppose -22*y = -169 + 37. Let u be (-1)/(y/(-18)*1). Sort 1, u, 0, -3. -3, 0, 1, u Let f = 0.49 - 0.29. Sort f, 3, -3, 0.1 in decreasing order. 3, f, 0.1, -3 Suppose 3*s + 2*t = -16, -4*t + 3*t = -4*s - 3. Put 5, -11, s in increasing order. -11, s, 5 Let o = 17 - -8. Suppose 4*g = -1 + o. Let l be (0/1)/(-1*1). Sort g, l, -1 in ascending order. -1, l, g Suppose o + 2 = -4*j + 13, -4*o + 2*j + 8 = 0. Let i be 3 - (-7 + o + 5). Sort 24, 4, i in ascending order. i, 4, 24 Let l be ((-3 - -27)*-1)/((-8)/4). Let z be (l/14)/(9/42) + -3. Let j be (-2 - -4)*(2 + -1). Put z, j, -3 in descending order. j, z, -3 Let f = -4 + 3.8. Let r = -1.48 + 1.68. Put -5, f, r in descending order. r, f, -5 Suppose -748*u - 3 = -749*u. Suppose -d = -2*d + 4*k - 25, 3*d + 20 = k. Sort d, 5, u in increasing order. d, u, 5 Let g = 3.162 + -0.162. Put 4, 0.1, g in ascending order. 0.1, g, 4 Let q be (-5)/1 - (-18)/6. Sort q, -5, 5, 1. -5, q, 1, 5 Suppose 0 = 5*t - 4*k - 19, -3*t = -k - 2*k - 12. Suppose 2*g + 14 = 3*l, 5*l = 7*g - 8*g + 19. Put g, 0, t in ascending order. g, 0, t Let u be ((-6)/18)/((-2)/(-3)). Sort 1, -9, u, -0.2 in descending order. 1, -0.2, u, -9 Let q be 5/(-20) + (-26)/(-8). Suppose q - 13 = 5*p. Let a be 32/14 + (-4 - p). Sort a, 5, 4 in descending order. 5, 4, a Suppose 19 = 4*h + b, -2*h + 3 = -2*b - 9. Let c be 4/(-14) + (114/(-42))/1. Put 2, c, h, -7 in ascending order. -7, c, 2, h Let u be (50/15 - 4)*-3. Sort u, 3, -38, 1 in decreasing order. 3, u, 1, -38 Let s = -9058633/17988 + -485/1499. Let r = -1837/4 - s. Let a = 45 - r. Sort a, -2, 0.3 in decreasing order. a, 0.3, -2 Let d = 0.9 - 1.1. Let q = d - -0.7. Let g = -1 - -2. Sort q, g, 4 in descending order. 4, g, q Let g = 289 - 309. Let n be -4*(3 + -2)*-1. Put g, n, -1/3 in ascending order. g, -1/3, n Let n = 579 - 576. Sort 2, -6, n, -12 in ascending order. -12, -6, 2, n Suppose -4*h - h = 0. Suppose h = w - 4 - 0. Let b be ((-5)/(-15))/(w/(-3)). Put b, -2, -3/5 in ascending order. -2, -3/5, b Let v(z) = 15*z - 4. Let i be v(0). Suppose j - 4*k - 1 + 29 = 0, 0 = -5*j - k - 35. Sort j, 4, i in decreasing order. 4, i, j Let q be 6 - 5 - (1 - -2 - 2). Suppose 0 = -4*b - 2*o - 12, -o = b - q*b + 1. Put -2, 4, b in increasing order. b, -2, 4 Suppose 3*b - 4*b = 5. Suppose 5*u + 0*u = -45. Let l = 3 - u. Sort 5, l, b. b, 5, l Suppose 0 = -y - 2*x - 7, -3*y + 0*x = 5*x + 16. Suppose 0 = -y*d + 6, 3*d = -5*b - 6 - 8. Suppose 2*k - 5 + 1 = 0. Put k, -3, b in decreasing order. k, -3, b Suppose -3*m = -1 - 5. Put -5, 1/3, -0.1, m in descending order. m, 1/3, -0.1, -5 Let q(g) = -g**2 - 28*g - 83. Let t be q(-24). Sort t, -1/5, 1 in decreasing order. t, 1, -1/5 Let r be ((-11)/3 + 3)/((-1)/(-3)). Put -4, -3, r in decreasing order. r, -3, -4 Let b = 2222 + -2233. Sort 2, 2/11, b, -1/5. b, -1/5, 2/11, 2 Let t(l) = l**3 + 12*l**2 + 9*l - 19. Let y be t(-11). Let b be -3*(-4 - (-14)/y). Sort b, 0, -4, -5 in decreasing order. 0, b, -4, -5 Suppose -4*i + 13 = 33. Put -13, i, -1 in descending order. -1, i, -13 Suppose 6*h + 1151 = 1127. Put -37, -3, h, 3 in decreasing order. 3, -3, h, -37 Suppose -2*r = 10, -3*j - r + 8 + 2 = 0. Let u be -4 + j - 0 - 2. Sort 3, u, 4, -2. -2, u, 3, 4 Let y be 12*(42/(-9))/(-7). Let i be (-1)/7 + y/7. Put 0, 5, i in descending order. 5, i, 0 Let y = -0.9227 - 0.0773. Sort 54, y, 2 in descending order. 54, 2, y Suppose -5*c + 4 = -4*c. Suppose 0 = -3*p + 2*z + 7, 2*p + 30 = -189*z + 186*z. Sort -7, p, c in ascending order. -7, p, c Suppose 0*o = 3*g + 3*o - 189, -3*g + 3*o + 165 = 0. Let h = 56 - g. Sort h, 5, -2, 2 in increasing order. h, -2, 2, 5 Let l = 0.63 - 0.8. Let o = -0.05 - l. Put 1, o, -5 in increasing order. -5, o, 1 Let v be 15/54*(-60)/(-50). Sort v, 3/13, 2/3, 0.07 in decreasing order. 2/3, v, 3/13, 0.07 Let g(m) = -m**3 + m**2 + 3*m - 1. Let d be g(2). Let l = -5 + 4. Suppose 4*a + 2 = 5*a. Put d, a, l in descending order. a, d, l Let k = 233 - 233. Put k, -4, -3/7 in decreasing order. k, -3/7, -4 Suppose -285 = 9*h + 9*h - 357. Let w be 1 + 1/((-22)/18). Sort h, -0.12, w in decreasing order. h, w, -0.12 Let y = -2/27 - 7/27. Let m be 12/(-81)*(-21)/14. Put y, m, 0.1 in increasing order. y, 0.1, m Suppose -4*q = -3*t + 2, -7 = 2*t + q - 1. Let p = t + 4. Let i be (-2 + 9 +
{ "pile_set_name": "DM Mathematics" }
e number? True Is (1 - (-4)/(-3))*652489236/(-252) a prime number? True Let q(j) = 4 + 34*j**2 + 1 - 36*j**2 - 2*j - 1. Let z be q(0). Suppose h + 20 = -4*h, 7898 = 2*m - z*h. Is m prime? False Let t be (5 + 5)*2/4. Suppose 30854 = c + 10*m - 7*m, -5*c + 154300 = t*m. Is c a prime number? False Let c = -60 + 63. Is -7699*(-12 + c + 8) prime? True Suppose -266*l = -267*l + 9. Suppose -5*h + 0*g + 11380 = -g, -g = 5*h - 11390. Suppose -l*w = -0*w - h. Is w a prime number? False Suppose -288 = -19*h + 73. Suppose h*f = -13*f + 133664. Is f prime? True Let g(d) = d**3 + d**2 + 1. Let u(a) = 13*a**2 - 33*a + 1. Let f(t) = 6*g(t) - u(t). Is f(11) composite? False Suppose 3*m - 2*y + 3671 = 4*m, 3643 = m - 5*y. Let t = -1871 + m. Let j = t + -1199. Is j prime? True Suppose -3*d = 3*x - 9, 0*x + 19 = x - 3*d. Suppose 25457 = 2*o + i, -2*o - i - 63660 = -x*o. Is o prime? False Let w = 20 + -16. Let q = -158 - -160. Suppose -2533 = -5*o - w*t, -q*o + 2*t = -3*t - 1033. Is o prime? True Suppose -40*f + 8*f + 1602767 = -1670609. Is f composite? False Let k = -45 - -33. Is k/28 + (-1112440)/(-98) a prime number? True Let q = -3617 - -84948. Is q a prime number? True Let n(v) = 109*v**2 - 3*v - 3. Suppose -4*q + 9 = -3*q. Suppose -3*k + 2*f = f - 13, -q = -3*k + 3*f. Is n(k) composite? False Suppose -2*d - 9 = 3*n, 28 = d - 3*n - 2*n. Let f be (3 - (-372)/16 - 3)*12. Suppose -f = d*p - 6*p. Is p prime? False Let a = -40 - -41. Suppose 0 = 4*m - 8 - 8. Is a/(m/144) + -3 a composite number? True Let y(o) = 99753*o**2 + 2612*o + 2613. Is y(-1) composite? True Let j = -237620 - -140348. Let k = 154619 + j. Is k a prime number? True Let a(j) = 5*j + 0 - 1 + 5*j**2 - 4*j - 4*j**2. Is a(9) prime? True Let z(t) = t**3 + t**2 - 6*t + 18863. Let p be z(0). Is (-15)/(-105) - p*12/(-21) a prime number? False Suppose 0 = -2*k + 6 + 6. Suppose 11*b - k*b = 60. Suppose 0 = 18*v - b*v - 7902. Is v a composite number? True Let y = 331 - -393. Suppose -2*b = -y - 164. Suppose 5*c = 5*x + b + 1611, -x + 2067 = 5*c. Is c a composite number? True Let d(n) = -12*n**2 - 11*n + 6*n**2 + 8 - 6*n**2 + n - n**3. Let p be (39/(-12))/((-1)/(-4)). Is d(p) a prime number? True Is 7/1 + (-3 + 6 - 15) - -208194 a composite number? False Let v = -5600 + 12147. Is v a prime number? True Let t = 51 - 48. Suppose -t*m - 5*x - 9 = 0, 2*x + 8 = -2*m - 2*x. Suppose 177 = m*a + a. Is a a composite number? False Let u be ((-11)/3)/((-22)/12 - -2). Let h = -19 - u. Suppose 0 = 2*s - h*o - 4273, -2*s = 4*o - 0*o - 4238. Is s a prime number? True Let z be -2 + 2 + 1 + 756. Suppose 7*r - 2430 = -z. Let q = 606 - r. Is q composite? False Let m(z) = 5864*z**2 + 19. Is m(-3) a prime number? False Let u = 25345 + 8056. Is u composite? True Let s = 29315 - 22938. Is s composite? True Suppose -245*d = -237*d - 40. Is 33889/2 + d + 54/(-12) composite? True Suppose -8*n - 42*i + 38*i + 272356 = 0, 0 = n + 2*i - 34049. Is n a composite number? True Suppose 0 = 3*v - 4*v - 3. Is (-47520)/v - 12/4 a composite number? True Suppose 14*t - 273907 = 1362147. Is t prime? False Let t be (-165)/(-44) - 4/(32/6). Suppose 1583 = t*a - 7099. Is a composite? True Suppose 6 = -i + 10. Suppose u + 2 = i. Suppose -u*z - 5*f + 219 = 0, 4*f - 295 = -5*z + 210. Is z composite? False Let h(k) = k**3 - 9*k**2 - 10*k + 3. Let t be (-1)/8 + (5 - 82/(-16)). Let o be h(t). Suppose -5*v = -2*b - 3149, v - 183 = -o*b + 457. Is v a prime number? True Suppose -2*n - 4*o + 73270 = 0, -4*o + 38 - 26 = 0. Is n a prime number? True Let j(h) be the third derivative of -h**5/60 + h**4/3 - 11*h**3/6 - 20*h**2. Let m be j(3). Suppose m*p - 76 = -5*k, 4*k - 40 = -2*p + k. Is p composite? True Let s(x) = 351*x**2 + 130*x - 2065. Is s(54) a prime number? True Let r be 1959 + (-2)/(6/(-5))*3. Suppose 3*t - 1988 = -b, 5905 = 2*b - t + r. Is b composite? False Let j = -267 - -329. Suppose o + t = -0*o + 57, -4*t = -o + j. Is o prime? False Let w(p) = -4393*p - 10. Suppose 5 = -4*s - 15. Is w(s) a prime number? False Is (62/(-31))/(260/(-35769130)) - 4/26 prime? True Let x(v) = -425*v - 20. Suppose 3*r = 4*n - 5, -2*n + 3*n = -2*r - 7. Is x(r) prime? False Let o(w) = 348635*w**2 + 363*w - 3. Is o(-1) a composite number? False Suppose 5*p = -b + 306190, 0 = -9*p + 4*p + 2*b + 306175. Suppose m = 20*m - p. Is m a prime number? False Suppose -15 = -t + 5*s + 25, 3*t = 3*s + 60. Suppose 47408 = t*c + c. Is c a composite number? False Let n(z) = 3*z**2 + z - 56. Let r be n(5). Suppose 10*d + 203266 = r*d. Is d composite? False Let p(c) = 322*c**2 - c - 1. Let y be p(-1). Suppose -y = -2*q - 66. Let v = 1759 - q. Is v a composite number? True Suppose 45*z = 84052 + 596843. Is z a composite number? False Let k(l) = 112*l - 59. Let y(z) = z - 1. Let b(d) = 2*k(d) + 10*y(d). Is b(5) composite? True Is (-104888415)/(-240) + (-1)/16 a composite number? True Suppose -18 = 3*v, -4*v + 192789 = -260*o + 263*o. Is o composite? False Is (5154604/112 + 22)/(1/4) composite? False Suppose 4*k - 5*k = -4*p - 363, 4*k - 1517 = 3*p. Let m = 172 + k. Let u = m + -386. Is u a prime number? False Suppose -5*l = 5*a - 305640, -436*a + 5*l + 61158 = -435*a. Is a a composite number? True Let b(a) = 36*a + a**2 - 3*a**3 - 27*a - 17*a + 17. Is b(-7) composite? False Let h(r) = 320*r**2 + 301*r - 324. Is h(-33) composite? True Let d be (18 - 0)/(-6) - (-4)/2. Is 4267 + d + (-25)/(-5) composite? False Let g = 79155 + -51206. Is g composite? True Suppose -40020 + 140541 = 27*r. Suppose -h + 7988 = 5*v, 5*h - 2*v - r - 36244 = 0. Is h prime? True Suppose -12057 + 32062 = 2*h - 3*l, 4*h + 3*l - 40037 = 0. Is h composite? False Suppose 2*i + 0*w - 4*w = 0, 3*i = 5*w. Suppose 42903 = 5*r - 35*f + 39*f, i = r - 5*f - 8569. Is r a prime number? False Let d(w) = 3*w**3 + 53*w**2 - 40*w - 197. Is d(21) composite? False Let k be (-269)/(-5) + 3/15. Suppose -k = v + 8*v. Is (-3804)/(-8)*v/(-9) a composite number? False Let g = 1498642 - 498225. Is g composite? True Let c(g) = -98668*g**3 - 6*g**2 - 12*g - 11. Is c(-1) composite? False Let w = -101387 - -193938. Is w a prime number? True Suppose 5 - 34 = -5*l - 3*y, 3*l - 5*y + 3 = 0. Suppose -18*w = -16*w + 10, 0 = -l*p - 3*w + 997. Is p a composite number? True Let h be 0 - (0/2 - (-423)/(-9)). Suppose h*u = 42*u. Suppose 2*z - 1009 - 2589 = u. Is z a prime number? False Let y(j) = j**3 - 6*j**2 + 10. Let s be y(5). Let u be (9/15)/(3/s) + -110. Let v = u + 535. Is v a prime number? False Suppose -3*o + 505 = -98. Let c = o + 314. Is c prime? False Let t(j) be the second derivative of -j**5/20 - 5*j**4/4 + 29*j**3/6 + 43*j**2/2 + 2*j. Let p = 8 + -26. Is t(p) a composite number? True Suppose -q - 3*t + 1 + 6 = 0, 5*q - 55 = 5*t. Is (-4)/q - 1*(-10588)/20 prime? False Suppose -200*c - q = -196*c - 86585, 5*q = 4*c - 86603. Is c composite? False Suppose -2*z = -3*w + 600157 + 430474, -3*w - z = -1030628. Is w a composite number? False Let p(m) = m**2 + m + 11. Let g be p(0). Suppose -g*r - 750 = -r. Let v = 14 - r. Is v a prime number? True Suppose 3*i - 189816 = 4*h - 785344, 4*i + 297764 = 2*h. Is h composite? True Let d = 916 - 392. Is (-34)/(4/d*-2) prime? False Let c(b) = -b - 10. Let m be c(10). Let w(u) = u**3 + 33*u**2 + 52*u + 77. Is w(m) prime? False Is (-81)/18*(9 + (-1351958)/18) composite? False Is (8 - -5)/((-2)/(-29182)) prime? False Let r be (-15)/((-300)/(-8)) + 482/5. Let k = r - -7. Is k prime? True Is (-3163)/(72/(-66) + 3/33) a prime number? True Suppose r = -9*r - 1930. Let s = -430 - r. Is s*(55/20)/(6/(-8)) a composite number? True Suppose 11*z = 8*z + 63. Suppose 6*y - 9 = z. Suppose 879 = 4*t + y*u, -5*t + 1100 = 7*u - 2*u. Is t prime? False Let o = 181 + -176. Suppose -12476 - 181 = -4*n + o*p, 4*p - 15811 = -5*n. Is n a prime number? True Suppose 14*i = 28*i - 70. Suppose 2*l + 13054 = y + 2971, 3*l = -i*y + 50467. Is y prime? True Let h(c) = 25*c**3 + 4*c**2 + 15*c - 55. Is h(4) a composite number? False Let v = -2 - -3. Suppose -3*d - 3*n - 9 = -0*d, -n + v = 3*d. Suppose -2*w - u + 250 = 0, d*u + 0*u - 373 = -3*w. Is w a composite number? False Let z be (612/24)/((-2)/(-76)). Let h = z - 188. Is h a prime number? False Let m(n) be the first derivative of 27*n**4/4 - 2*n**3/3 + 23*n**2/2 - 7*n + 133. Is m(5) a pr
{ "pile_set_name": "DM Mathematics" }
icked without replacement from mwfwwwwwwmwf. What is prob of sequence ffwm? 4/1485 Four letters picked without replacement from {g: 4, l: 5, x: 1, h: 1, o: 1}. What is prob of sequence hgxg? 1/990 Three letters picked without replacement from {y: 2, i: 1, l: 1, p: 1}. Give prob of sequence pyy. 1/30 Three letters picked without replacement from ezkal. What is prob of sequence azk? 1/60 Two letters picked without replacement from {w: 1, g: 2, x: 3, n: 4, k: 4, i: 1}. Give prob of sequence nw. 2/105 Two letters picked without replacement from {w: 1, m: 3, c: 3, d: 3, t: 5}. Give prob of sequence wc. 1/70 Three letters picked without replacement from {j: 2, b: 1, q: 9, h: 2}. Give prob of sequence qqq. 3/13 Calculate prob of sequence hw when two letters picked without replacement from hwh. 1/3 What is prob of sequence fm when two letters picked without replacement from anmtngfammtmm? 5/156 What is prob of sequence xt when two letters picked without replacement from tsllltvlx? 1/36 What is prob of sequence kuu when three letters picked without replacement from {d: 1, k: 1, m: 9, u: 4}? 2/455 Two letters picked without replacement from mmdpmpqmmpmqpm. What is prob of sequence qp? 4/91 Four letters picked without replacement from {d: 2, g: 2, x: 1}. What is prob of sequence ggxd? 1/30 Four letters picked without replacement from {f: 9, p: 3, z: 4}. What is prob of sequence pzfz? 27/3640 Calculate prob of sequence qb when two letters picked without replacement from vvhnnwnhbqnbbnqwhn. 1/51 What is prob of sequence fg when two letters picked without replacement from gwwcggfcgggffgfggc? 2/17 What is prob of sequence ywmy when four letters picked without replacement from {m: 1, w: 12, y: 5}? 1/306 Three letters picked without replacement from qppqqppqpqqqqppqqqq. What is prob of sequence qqp? 154/969 Four letters picked without replacement from ppkepresessspgkespge. What is prob of sequence eses? 10/2907 Two letters picked without replacement from tlvvlvv. Give prob of sequence vt. 2/21 Calculate prob of sequence wooo when four letters picked without replacement from ooowooyyyooyow. 4/143 Calculate prob of sequence bb when two letters picked without replacement from {w: 1, b: 11}. 5/6 Two letters picked without replacement from ceyppycth. Give prob of sequence ye. 1/36 Three letters picked without replacement from mqmqsqmssqammqqqsq. Give prob of sequence mss. 5/408 Three letters picked without replacement from {z: 1, h: 11, c: 1, o: 4, k: 2, a: 1}. What is prob of sequence ozc? 1/1710 Calculate prob of sequence kkm when three letters picked without replacement from mmmkmkmmmmmm. 1/66 Calculate prob of sequence fl when two letters picked without replacement from fflmfmfsmffmmfmmff. 1/34 Two letters picked without replacement from cxucuxcctucc. Give prob of sequence ct. 1/22 Three letters picked without replacement from {r: 2, i: 10, n: 1, b: 1}. Give prob of sequence irn. 5/546 Four letters picked without replacement from {l: 3, i: 2, g: 1, r: 4}. What is prob of sequence iirg? 1/630 Calculate prob of sequence do when two letters picked without replacement from hdhhohggr. 1/72 What is prob of sequence lx when two letters picked without replacement from xlcpc? 1/20 What is prob of sequence tp when two letters picked without replacement from {t: 4, h: 3, p: 2}? 1/9 What is prob of sequence zs when two letters picked without replacement from {s: 1, z: 3}? 1/4 What is prob of sequence rw when two letters picked without replacement from hrhohoohhhhohohhwoo? 1/342 Three letters picked without replacement from wpsqwwqwwpwopw. What is prob of sequence pqq? 1/364 Two letters picked without replacement from {r: 5, c: 5, h: 3}. Give prob of sequence rh. 5/52 Four letters picked without replacement from {a: 1, s: 2, w: 2}. Give prob of sequence swaw. 1/30 What is prob of sequence hhv when three letters picked without replacement from {h: 3, v: 15}? 5/272 Four letters picked without replacement from yxxymyymmxymyyymxxyd. Give prob of sequence yxyd. 1/323 Three letters picked without replacement from lzlrzzdzzzzzr. What is prob of sequence rrl? 1/429 Calculate prob of sequence ix when two letters picked without replacement from kkkkoiikixkki. 1/39 Calculate prob of sequence jz when two letters picked without replacement from mmcjmmmmmmmmmzncmmjz. 1/95 Two letters picked without replacement from {j: 1, p: 1, x: 1, e: 2}. Give prob of sequence jp. 1/20 Calculate prob of sequence zeb when three letters picked without replacement from {b: 1, a: 1, j: 2, z: 4, e: 3}. 2/165 Four letters picked without replacement from oiiioulzi. What is prob of sequence liui? 1/252 Calculate prob of sequence tnt when three letters picked without replacement from ttttttntn. 1/6 What is prob of sequence cc when two letters picked without replacement from aacaajcacaaaacaaaajj? 3/95 What is prob of sequence zp when two letters picked without replacement from {n: 7, p: 3, z: 1, g: 3}? 3/182 What is prob of sequence yy when two letters picked without replacement from {y: 7, g: 2}? 7/12 What is prob of sequence ppii when four letters picked without replacement from {i: 5, p: 13}? 13/306 Calculate prob of sequence ehh when three letters picked without replacement from {h: 6, c: 6, e: 3, d: 3}. 5/272 Calculate prob of sequence qquh when four letters picked without replacement from {h: 6, u: 2, q: 4}. 2/165 Two letters picked without replacement from tltittzttnintrrirttl. What is prob of sequence in? 3/190 Three letters picked without replacement from bwwbbaawwwwwbbwbwb. Give prob of sequence bww. 7/68 Calculate prob of sequence uuu when three letters picked without replacement from uuub. 1/4 Two letters picked without replacement from dxsxissixl. What is prob of sequence ss? 1/15 Three letters picked without replacement from acaacaa. What is prob of sequence cac? 1/21 What is prob of sequence lbq when three letters picked without replacement from yngggbglnqlngbgqbbq? 4/969 Two letters picked without replacement from cqzjo. Give prob of sequence jq. 1/20 What is prob of sequence jee when three letters picked without replacement from eijeeej? 4/35 What is prob of sequence bdzh when four letters picked without replacement from bdddwwzdzddwzzhwvb? 1/1530 What is prob of sequence gh when two letters picked without replacement from {y: 1, r: 8, o: 8, h: 2, g: 1}? 1/190 What is prob of sequence zu when two letters picked without replacement from uuuuuuuuzuuuuuuuuuuu? 1/20 Calculate prob of sequence zz when two letters picked without replacement from gzaaaaazagag. 1/66 Two letters picked without replacement from xxxkxxxkacaxokkc. Give prob of sequence ok. 1/60 What is prob of sequence drx when three letters picked without replacement from {r: 1, l: 1, b: 11, d: 2, x: 1}? 1/1680 What is prob of sequence et when two letters picked without replacement from {e: 1, d: 2, g: 2, t: 11}? 11/240 Two letters picked without replacement from {x: 18, r: 1}. Give prob of sequence xx. 17/19 Three letters picked without replacement from {c: 5, b: 1, f: 5, s: 5, y: 4}. What is prob of sequence bfs? 5/1368 Three letters picked without replacement from {x: 9, i: 7}. Give prob of sequence iii. 1/16 Two letters picked without replacement from {b: 1, y: 3, h: 1}. Give prob of sequence by. 3/20 Calculate prob of sequence ddm when three letters picked without replacement from {d: 2, m: 3}. 1/10 Calculate prob of sequence hvz when three letters picked without replacement from bbqvzhvp. 1/168 Three letters picked without replacement from {p: 5, s: 3, i: 1, n: 1}. What is prob of sequence psp? 1/12 Three letters picked without replacement from eeejeeeeeeeqzeemzeqe. What is prob of sequence jee? 91/3420 Two letters picked without replacement from {l: 2, k: 1, w: 1, z: 1, h: 1, q: 1}. What is prob of sequence zw? 1/42 What is prob of sequence hhh when three letters picked without replacement from {h: 5}? 1 Three letters picked without replacement from atxzmhh. What is prob of sequence ahz? 1/105 Four letters picked without replacement from zttzzzzzzztztzztzz. What is prob of sequence zzzt? 143/1224 Four letters picked without replacement from rraararpsrarra. Give prob of sequence arsp. 5/3432 Calculate prob of sequence mw when tw
{ "pile_set_name": "DM Mathematics" }
**2/2 + 64221069*f/2 + 353213883/2. 3*(f + 11)**2*(f + 973041)/2 Let -8*r**5 + 2790*r**4 + 1818082*r**3 + 11236194*r**2 - 9906554*r - 3150504 = 0. What is r? -329, -7, -1/4, 1, 684 Factor j**3/2 - 5623*j**2/2 + 78428*j - 548310. (j - 5595)*(j - 14)**2/2 Factor n**2/4 + 25636537*n + 657232029352369. (n + 51273074)**2/4 Suppose -k**4/2 + 6611*k**3/2 + 2630110*k**2 - 33510801786*k + 100508645160 = 0. Calculate k. -2940, 3, 4774 Factor b**2/7 + 5285*b + 2547894/7. (b + 69)*(b + 36926)/7 Suppose 2*d**2/5 - 28932*d/5 + 952578/5 = 0. What is d? 33, 14433 Let 4*o**3/3 - 11888*o**2/3 + 2021012*o/3 - 88525096/3 = 0. Calculate o. 89, 2794 Solve -2237036*y**5 - 22370380*y**4 - 55926100*y**3 - 500*y**2 = 0. -5, -5/559259, 0 Determine a, given that 2*a**4 + 5014*a**3 + 2738624*a**2 - 298449408*a + 7450656768 = 0. -1579, -1024, 48 Suppose 1922*y**5/3 + 85911974*y**4/3 + 365793584*y**3/3 + 433722392*y**2/3 + 94395968*y/3 + 5720960/3 = 0. What is y? -44695, -2, -4/31 Solve -3*o**2 - 24051*o + 5512560 = 0. -8240, 223 Factor -3*t**2/2 - 10930068*t - 21860130. -3*(t + 2)*(t + 7286710)/2 Determine f so that -40*f**4 + 548326*f**3/7 + 132744*f**2 - 329288*f/7 + 2240 = 0. -2, 2/35, 1/4, 1960 Factor 2*s**3 - 563564*s**2 + 3381330*s - 5071968. 2*(s - 281776)*(s - 3)**2 Let -2*q**5/11 + 10980614*q**4/11 - 15071740967428*q**3/11 + 15071719006204*q**2/11 + 15071740967430*q/11 - 15071729986818/11 = 0. Calculate q. -1, 1, 2745153 Factor -5*f**3/4 - 12153345*f**2/4 - 7385159350995*f/4 + 36926100589225/4. -5*(f - 5)*(f + 1215337)**2/4 Factor -p**2 - 2576784*p - 1659953945664. -(p + 1288392)**2 Determine u, given that 4*u**4/5 + 1976*u**3/5 - 455068*u**2/5 + 4941152*u - 46887360 = 0. -676, 12, 85 Let -s**4/6 - 281632661*s**3/6 - 4406497525572681*s**2 - 137890400198273532159786*s + 137890404604771104671244 = 0. Calculate s. -93877554, 1 Factor 2*x**2 + 43296*x + 198345790. 2*(x + 6583)*(x + 15065) Let 152*d**2/5 - 1412396*d + 557520 = 0. Calculate d. 15/38, 46460 Factor 2*k**2/3 - 370904*k/3 + 4449984. 2*(k - 185416)*(k - 36)/3 Factor -d**2 - 3174058*d - 2518661046841. -(d + 1587029)**2 Determine k, given that -2*k**4/15 + 1552*k**3/3 - 23236*k**2/5 + 116144*k/15 - 54194/15 = 0. 1, 7, 3871 Find a, given that -3*a**2 - 13176*a - 14356656 = 0. -2388, -2004 Factor -h**2/8 - 817397*h/4 - 44138709/8. -(h + 27)*(h + 1634767)/8 Determine j so that j**2/2 + 10737*j/2 - 416339 = 0. -10814, 77 Factor 60*c**3 + 5013*c**2 + 12474*c + 6561. 3*(c + 81)*(4*c + 3)*(5*c + 9) Let -14*a**3 - 320590*a**2 + 201350652*a + 57554928 = 0. What is a? -23511, -2/7, 612 Solve p**2 - 71518*p = 0 for p. 0, 71518 Factor 884*n**2/7 + 7083568*n/7 + 608988/7. 4*(n + 8013)*(221*n + 19)/7 Find u, given that -4*u**2 - 53680*u + 249056256 = 0. -17068, 3648 Determine i so that -4*i**5 + 468*i**4 + 5428*i**3 - 253092*i**2 + 1323072*i - 1874880 = 0. -28, 3, 15, 124 Factor 46102*d**2/3 + 11909682*d - 3100/3. 2*(d + 775)*(23051*d - 2)/3 Factor -2*q**3 - 4532*q**2 + 68342*q - 200728. -2*(q - 11)*(q - 4)*(q + 2281) Factor -p**2/3 - 1567*p/3 + 1861246. -(p - 1706)*(p + 3273)/3 Factor 4*u**3 + 701832*u**2 - 18249660*u + 118627184. 4*(u - 13)**2*(u + 175484) Factor -5*l**3 - 12535255*l**2 - 7856624628120*l + 7856637163380. -5*(l - 1)*(l + 1253526)**2 Let -35*x**5 + 2705*x**4 + 345310*x**3 - 9034660*x**2 + 11140120*x - 2453440 = 0. Calculate x. -82, 2/7, 1, 22, 136 Factor 2*r**2 + 14700*r + 2748672. 2*(r + 192)*(r + 7158) Factor 4*z**2 + 350280*z - 5255100. 4*(z - 15)*(z + 87585) Factor 2*w**4 - 15378*w**3 + 490048*w**2. 2*w**2*(w - 7657)*(w - 32) Determine s so that -23*s**4/2 - 12231*s**3/2 - 10874*s**2 - 4770*s = 0. -530, -1, -18/23, 0 Determine g so that -2*g**4/5 - 1628*g**3 - 418904*g**2/5 - 4149456*g/5 - 2314368 = 0. -4018, -40, -6 Factor -4*g**3 + 30032*g**2 - 11145364*g + 1061149512. -4*(g - 7122)*(g - 193)**2 Let 2*o**3 + 7428828*o**2 + 6898420824018*o - 27593802157448 = 0. Calculate o. -1857209, 4 Determine o, given that 13292*o**3/3 - 1249393*o**2/3 - 5170*o/3 = 0. -55/13292, 0, 94 Solve -20*y**4 - 214048*y**3 - 941536*y**2 - 1198208*y - 342336 = 0 for y. -10698, -2, -2/5 Suppose -i**2/6 + 17073040*i - 437233042262400 = 0. Calculate i. 51219120 Factor q**4 - 8130*q**3 + 121800*q**2 - 608750*q + 1014375. (q - 8115)*(q - 5)**3 Find c, given that c**5/6 - 45*c**4/2 + 1367*c**3/3 + 9477*c**2 + 104977*c/6 + 16995/2 = 0. -11, -1, 45, 103 Let -2*q**3/3 - 130*q**2/3 + 45922*q/3 + 237110 = 0. Calculate q. -181, -15, 131 Suppose -u**2/4 + 1388555*u/4 - 1041414 = 0. What is u? 3, 1388552 Let 2*f**4 - 2758*f**3 + 249810*f**2 - 1413674*f + 1166620 = 0. Calculate f. 1, 5, 91, 1282 Factor 5*t**3 + 177300*t**2 + 28976340*t + 1186651520. 5*(t + 82)**2*(t + 35296) Determine k so that -k**2/4 - 26341*k - 105363/4 = 0. -105363, -1 Factor -n**3 + 238906*n**2 + 477816*n. -n*(n - 238908)*(n + 2) Factor -27*p**2 - 240183366*p - 53374080. -3*(p + 8895680)*(9*p + 2) What is y in 8*y**5 - 32596*y**4 + 3009248*y**3 - 1463884*y**2 - 3009256*y + 1496480 = 0? -1, 1/2, 1, 94, 3980 Factor -u**3/4 + 2537*u**2/2 - 20248*u + 80928. -(u - 5058)*(u - 8)**2/4 Find f such that -4*f**2/7 - 2329156*f/7 - 332736 = 0. -582288, -1 Find x such that 2*x**3/9 - 17360*x**2/9 - 34872*x + 695840 = 0. -30, 12, 8698 Determine d so that -2*d**2/9 + 1338*d - 1681108/9 = 0. 143, 5878 Factor h**4/6 - 36523*h**3/6 - 36525*h**2/2 - 109577*h/6 - 18263/3. (h - 36526)*(h + 1)**3/6 Find c such that -4*c**4/5 + 9444*c**3 + 30276204*c**2/5 - 2008854554468*c/5 + 5947728848220552/5 = 0. -6522, 6109 Determine t so that t**2/4 - 363*t + 21555/4 = 0. 15, 1437 Suppose -i**3/8 + 27*i**2/4 + 559*i/8 + 63 = 0. Calculate i. -8, -1, 63 Let 21*c**3/10 + 130*c**2 + 2374*c/5 - 232/5 = 0. What is c? -58, -4, 2/21 What is w in -4*w**2/9 + 20308*w/3 - 182448 = 0? 27, 15204 Determine q, given that -5*q**2 + 7591000*q - 2881164050000 = 0. 759100 What is q in -177608*q**5/9 - 5387840*q**4/3 - 170434546*q**3/9 - 155484662*q**2/9 - 345922*q/3 - 1738/9 = 0? -79, -11, -1, -1/298 Factor b**2 + 599894*b + 17995920. (b + 30)*(b + 599864) Solve -2*i**4/5 + 11792*i**3/5 - 18174276*i**2/5 + 2269469664*i/5 + 116856507222/5 = 0 for i. -39, 181, 2877 Factor -3*z**3/7 - 6306*z**2/7 - 413664*z + 452575104/7. -3*(z - 122)*(z + 1112)**2/7 Solve 4*n**2 + 27608464*n + 27608460 = 0. -6902115, -1 Determine u, given that 46*u**2 - 1357074*u + 826028 = 0. 14/23, 29501 Find v such that -7*v**5/6 - 184379*v**4/3 + 842915*v**3/6 + 79015*v**2/3 - 421454*v/3 + 105364/3 = 0. -52682, -1, 2/7, 1, 2 Solve 126*j**5 + 2890*j**4 - 14422*j**3 - 16106*j**2 + 1080*j = 0. -27, -1, 0, 4/63, 5 Find k, given that -4*k**3 - 3320*k**2 + 686012*k - 31937472 = 0. -1008, 89 Factor w**3/3 - 1402*w**2/3 + 22219*w - 162360. (w - 1353)*(w - 40)*(w - 9)/3 Solve -2*g**2/7 - 325634*g + 75223632/7 = 0. -1139752, 33 Solve -2*z**5 + 2785860*z**4 - 33430122*z**3 + 125362720*z**2 - 139291800*z = 0. 0, 2, 5, 1392918 Find w, given that -7*w**5/5 + 11618997*w**4/5 + 3319714*w**3/5 = 0. -2/7, 0, 1659857 Let -3*r**3 - 24132*r**2 - 433059*r + 2768970 = 0. What is r? -8026, -23, 5 Suppose 10*t**5 - 206*t**4 - 92954*t**3 - 586298*t**2 - 676160*t - 182600 = 0. What is t? -83, -5, -1, -2/5, 110 Determine i so that -i**2 - 2545520*i + 2545521 = 0. -2545521, 1 Let -2*z**4 - 10448*z**3/3 + 1091042*z**2/3 - 18175396*z/3 + 11635120/3 = 0. What is z? -1841, 2/3, 20, 79 What is d in d**2 - 62959*d + 18111630 = 0? 289, 62670 Find a, given that 34*a**5/13 + 37612*a**4/13 + 916058*a**3 + 809535968*a**2/13 + 4539727776*a/13 + 6651857664/13 = 0. -508, -1432/17, -3 Factor b**4 - 4131*b**3 + 349630*b**2 - 7115328*b - 15662240. (b - 4045)*(b - 44)**2*(b + 2) Find p, given that -3*p**5 + 142320*p**4 + 711666*p**3 + 427032*p**2 - 1281015*p = 0. -3, 0, 1, 47445 Determine j so that 2*j**3/3 - 2666*j**2 + 15982*j/3 + 7994 = 0. -1, 3, 3997 Find u such that 76*u**5 - 49356*u**4 - 78196*u**3 + 49356*u**2 + 78120*u = 0. -30/19, -1, 0, 1, 651 Find k, given that -64*k**5 + 241760*k**4 - 3013572*k**3 + 5912780*k**2 + 21833636*k + 12665460 = 0. -1, 29/4, 3765 Solve -3*y**4 - 65958*y**3 + 395856*y**2 - 96*y - 2111232 = 0. -21992, -2, 4 Determine w so that 6*w**5/5 - 754*w**4/5 + 3404*w**3/5 - 1936*w**2/5 = 0. 0, 2/3, 4, 121 Suppose h**5 - 1197*h**4 - 8414*h**3 - 16848*h**2 - 9632*h = 0.
{ "pile_set_name": "DM Mathematics" }