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scaling_mia_the_pile_00_DM_Mathematics

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- 14*a + 0. Suppose d - 3*r = 12, -5*r - 8 = -d + 12. Let z be b(d). Solve -z*g = -p + 3*p + 10, -5*g - 26 = -2*p for p. 3 Let a(o) = 193*o**2 + 770*o + 4. Let q be a(-4). Solve 0 = l - 3*z + 11, 0 = -4*l + 3*z + z - q for l. 1 Let a(i) = -21*i - 1799. Let j be a(-86). Solve 21 = -u - 5*g, j*u - 2*g = 3*u + 4 for u. -1 Suppose 6645 = 20*l + 3323 + 3282. Solve -l*r + 5*w + 5 = 0, w = 3*r + 4 - 5 for r. 0 Let v(x) = 2*x**2 - 178*x - 934. Let d be v(-5). Solve 5*r + g - 3 = 0, 2*g - d = 6*r - 9*r for r. 0 Let y(p) = 124*p - 2229. Let a be y(18). Suppose 0 = -3*g + 5*g - 60. Solve -5*h = 3*d + 13, -2*d = -5*h - a - g for d. 4 Let b(l) = -26*l + 210. Let n be b(8). Suppose -r + 7 + n = 0. Solve 0*m - 3*z = 3*m + r, -2*z + 14 = -2*m for m. -5 Suppose 135 - 126 = -3*h. Let q(j) = -27*j - 78. Let p be q(h). Solve -3*g + 5*n - 37 = 0, 2*g + 0*n + p = -n for g. -4 Let f = 8421 - 8405. Solve d = -2*y - 14, -2*y + 6 = f for d. -4 Let n(p) = -2*p**2 + 14*p - 4. Let y be n(3). Suppose 0 = 4*q - 5*w - 20, 11*w - 16*w = 5*q + y. Solve 6*j - 5*d = 2*j - 7, q = -3*j + 2*d for j. 2 Let w be (-264)/(-36) - (12/9 - 2). Let i be 2/2 + 8/w. Suppose 8*t - 3*t + 5 = -2*h, h + 5*t + 15 = 0. Solve -i*q = -o - h, 2*q + 6 = -5*o - 8 for q. 3 Suppose -57*t = 77*t - 12*t - 244. Let h = -27 + 46. Solve -a - 5*u + h = 0, 0 = -4*a - 2*u + 20 + t for a. 4 Suppose -5*n = 2*t + 7 - 27, 5*n - 35 = -5*t. Let p = t - 2. Suppose -7*u - 2*u = 0. Solve 3*a = -4*h - 4, p*h + 3 = 3*a - u for a. 0 Let z(a) be the third derivative of -a**6/60 + a**5/5 - a**4/24 - a**3/2 + 18*a**2. Let d be z(5). Let w = d + -41. Solve -o = x - w, -2*o + 3 + 3 = x for x. -4 Suppose -146*b + 635 = -27*b + 8*b. Solve 8*u = -3*s + b*u - 21, 5*s - 5*u = -35 for s. -7 Suppose 527 = 3*x - 5*p, -x + p + 119 + 60 = 0. Let s = x + -177. Solve 4*b = -4*g - 24, -g + 4*b + 12 = -s for g. -1 Let t be 1/1 + -6 + -2. Let i(o) = -11*o - 377. Let p be i(-33). Let f be (2/t)/(1/p). Solve -3*q = -3*h - 0*q + 3, 3*q + 3 = f*h for h. 0 Let p(q) = q**3 - 34*q**2 + 30*q + 99. Let r be p(33). Suppose r = -84*f + 89*f - 20. Solve 2*o - 13 = f*o - 3*j, 0 = -2*o + 5*j - 15 for o. -5 Suppose 334*j = 1244 + 426. Solve 2*a - j = 3*i + 12, -i - a + 1 = 0 for i. -3 Let v(i) = i**2 - 62*i + 963. Let l be v(32). Solve -2*w - 2*w = -5*b - 3, -15 = 2*b + l*w for b. -3 Suppose -5*k + 31 = -c, -2 = 2*k - 6*k - 3*c. Solve 7*j = 6*j - k*w - 1, -3*w = -5*j + 23 for j. 4 Let f(s) = -2*s - 35. Let b be 50 - (1/((-4)/8) + 5). Suppose -3*v = b + 16. Let y be f(v). Solve -2*p = 5*a - 6, -3*a + 2*p = -17 + y for a. 2 Let y(z) = z**3 - 6*z**2 - 8*z + 12. Let v be ((-1)/(-2))/(12/168). Let r be y(v). Solve 4*g + 6 = 2*j, -6*g + 3*j = -g + r for g. -4 Let i = -3782 + 3784. Suppose 4*r + 3*n - 28 = 0, r = 2*r - n. Solve -6 = i*s - 3*v, -2*s = -s + 2*v - r for s. 0 Let y be 2/((-15)/(45/(-6))). Suppose 4*h = -7*w + 4*w + 1, -2*h = -2*w + 10. Suppose -13 = -2*i - w. Solve y - 5 = 3*o + i*l, l = -2*o + 2 for o. 2 Suppose 15*h - 10*h = -610. Let d = h - -67. Let z be 2/(-5) - 737/d. Solve 4*m + 22 = 3*l, -4*m - 5 - z = -l for m. -4 Suppose -60 = -2*a - 2*a. Suppose -30 = -5*o - 5*d, -6 = -o + d - 5*d. Suppose o*x = 9*x - a. Solve -3*f + 3*t - 15 = 0, x*t = f - 6 + 27 for f. -1 Let j be (2624/(-3936))/((-2)/(120/62) + 1). Solve -3*y - j = 2*w - 3, 4*y = 2*w - 18 for y. -5 Let d(o) = o**3 + 31*o**2 + 7*o + 40. Let y be d(-31). Let r = 186 + y. Solve -5*v = 2*l - 3*l + r, -2*v - 18 = -4*l for v. -1 Let c be 22/(-3) + 12/(-18). Let s be (-8)/(-4)*(-20)/c. Suppose -149*u + 153 = -64 - 81. Solve u*l - 2*t + 1 = -7, s*l - t + 20 = 0 for l. -4 Let q be -4*((-124)/(-16) - 0). Let j(w) = -6*w - 147. Let f be j(-30). Let o = q + f. Solve 3*k = y + 6, k + o = 5 for y. 3 Suppose -3*m = -40 - 44. Let v = m + -25. Suppose v*a - a = -4*k - 12, -k = -a + 6. Solve -2*b + a = -2*f, 5*f + 4*b + 5 = b for f. -1 Let r = 15 + 0. Suppose -15*v + r = -12*v. Let a be 11/3 - 21/(-63). Solve 3*j = -v*i + 3, -3*i + 4*j - a = -0 for i. 0 Let b(m) = -m + 10. Let i be b(10). Let h(t) = -3*t + 17. Let c be h(7). Let u be ((-4)/c)/((-2)/(-4)). Solve 3*k = u*o, i*k = -2*k - o + 7 for k. 2 Let a be 9*-1*(-10 - (-548)/12). Let y = -318 - a. Solve y*l - 2*j - 21 = 2*j, -l - j = 0 for l. 3 Let c be 125/(-150) + (-46)/(-12). Solve -3*t - 13*i + 5 = -12*i, -c*t + 9 = 3*i for t. 1 Let b(w) = -7*w - 40. Let o be b(-10). Suppose -o = -5*d - 5*d. Solve 16 = 4*v + 5*p, v - d*p - 4 = -6*p for v. 4 Let w = -6 + 10. Let j be (2/w)/((-2)/(-16)). Suppose 0 = -2109*d + 2117*d - 72. Solve j*g = -2*f + d - 1, 2 = g - f for g. 2 Suppose 0 = -8*y + 10*y - 16. Suppose -y*m + 28*m = 100. Solve a - 18 = 5*f + 3*a, -20 = m*a for f. -2 Suppose -2*m + 196 = -6*m. Let w = -47 - m. Let u = 13 + -13. Solve u*q = w*q + 8, 4*q + 10 = 2*l for l. -3 Let w be (((-4)/5)/(4/(-30)))/((-600)/(-400)). Solve 0 = 4*i - 8, 2*i = w*d - 110 + 98 for d. 4 Let q be 8/12 + 4 - 8/(-24). Suppose 0 = 2*a - 4*a + 12. Let w(d) = -d + 8. Let x be w(a). Solve -3*b - q = -5*j - b, x*j - 3*b = 13 for j. -1 Let x = -198 + 254. Suppose -2 = 55*f - x*f. Solve -3*b + 4*b + 3*h = 15, 2*b - 10 = -f*h for b. 0 Suppose -6 = n + 2*n. Let h be (-1)/n + 15/6. Let g be 208/416 - (1/(-2) + -1). Solve -j + 0 = g*d - 7, -h*d + 6 = 3*j for d. 5 Let u(a) = 4*a - 45. Let l be u(12). Suppose -4*b = h + l*h - 44, -3*b + 34 = 4*h. Solve 5*s = 2*r + 25, 2*s + 4*r = -0*s + b for s. 5 Let c be (5/15)/(1/12). Suppose -19*h + 17 = 5*f - 16*h, 6 = 2*f + 2*h. Solve a - 3*d = 5*a - 17, -c*d = f*a - 20 for a. 2 Let u = 5 - 3. Suppose -8*z + 15 + 25 = 0. Suppose 5*v = v + 4*l + 44, 0 = 5*l + z. Solve v = -u*j + c + 4, j + c + 6 = 0 for j. -4 Let a be 115/(-13) - ((-33)/39 + 1). Let z = -6 - a. Suppose 5*x - 10 = -3*c, z*x - 4 = x - 2*c. Solve -6*y - 8 = -5*y + 4*v, 3*v = -x*y - 6 for y. 0 Suppose -3*v + 6 = 0, 0 = -5*w + 2*v - 20 + 31. Solve 4*x - 2*h - 31 = w*h, -4*x = -h - 19 for x. 4 Let m(r) = r**2 - 13*r - 12. Suppose 0 = 5*o + 215 + 35. Let g = o + 64. Let p be m(g). Solve 2*i + 2*d + p = 0, 3*i + 6 + 7 = 2*d for i. -3 Let c(d) = d**3 - 78290*d - 17 + 78324*d - 20 - 11*d**2. Let h be c(7). Solve 0 + 5 = -5*i - 5*y, -h*y = -5*i + 25 for i. 2 Let c(w) = -7*w - 51. Let b be c(-8). Suppose -k = -3*q + 11, -b*k = 2*q + 5 - 18. Solve a + 24 = 5*a - q*j, 4*j + 20 = 3*a for a. 4 Let s = 5158 - 5158. Solve s = -3*i, -2*d + i = -4*i + 2 for d. -1 Let z(b) = 9*b - 90. Let t be z(10). Let d be (-6)/(-4) - 6/(-12). Suppose d*u + 0 = -3*o - 2, 5*u + 5 = -2*o. Solve o = i + v - t*v - 4, 5 = v for i. -1 Suppose -35 - 12 = -25*p + 53. Let i = -23 - -46. Solve 5*n = -r - i, -p*n + 9*n = -2*r - 26 for n. -4 Let h = -32 - -37. Suppose t - 6*t + 6 = -3*v, 15 = h*t. Let q(i) = i**3 + 2*i**2 + i + 2. Let d be q(-2). Solve -k + 4 = -v*l, 4 = -4*l + k - d for l. 0 Let t = 294 + -291. Suppose 0 = -3*i - 0 + 6. Solve 0*j - t*j - i*g = 1, 10 = -2*j + g for j. -3 Let l = -57 + 49. Suppose -25*z + 18*z = 70. Let u = l - z. Solve -5*k + 4*h = -21, -4*h + 7 = u*k - 7*h for k. 5 Suppose 4*c + 2*z = 0, c = -3*z - 0 - 5. Let u be (-3 + (-6)/(-4))/(c/(-20)). Solve -5*t + u = -0*t + f, 2*t = 2*f for t. 5 Let f = -101 - -101. Let c(y) = y**2 - 2*y + 20 - 6 + y**2 + f*y**2. Let j be c(0). Solve z = -2*o + j, 0 = -3*o - 0*o + z + 11 for o. 5 Let g(c) = -c**3 - 8*c**2 - 34*c - 272. Let n be g(-8). Solve 0 = -2*q - x + 4, -20*q + 21*q + 5*x - 20 = n for q. 0 Let q(g) = g**2 - 39*g + 142. Suppose -v - 2*n + 25 = 0, n + 4*n - 150 = -5*v. Let s be q(v). Solve 22 = -2*p - 4*w, -s*w = 2*p - 3*w + 7 for p. -5 Let v(k) = -11*k**2 - 90*k - 128. Let t be v(-2). Solve 4*h + 4*s + t = 0, -s - 105 = -108 for h. -5 Let k(d) = -d**2 + 11*d + 5. Let t be k(11). Let b(n) = 287*n + 8613. Let f be b(-30). Solve f*a - 18 = -t*l, -5*a - 7*l = -2*l - 20 for a. 1 Let t(w) = -14 - 6*w + 33 - 3 + 36. Let b be t(8). Solve -b*d - 22 = -0*d - 2*n, 5*d = n - 23 for d. -4 Let r = -15723 + 15727. Solve -r*s = 5*z + 38, 6 = -z - 0*z for s. -2 Let r be (-2)/6 + (2 - 955/15). Suppose 0 = 6*b + 2*b + 496. Let f = b - r. Solve -4 = 2*d + u - f, -4*d + 4*u + 16 = 0 for d. 0 Let j be ((-44)/3)/(8/48*-4). Suppose 6*q - 2*q = q. Solve 4*z + 5*f + 26 = q, 0 = -5*z + 2*z - 5*f - j for z. -4 Suppose -67*t - 25*t + 312 = -14*t. Solve -5*r + t*q = -7, -4
{ "pile_set_name": "DM Mathematics" }
s divided by 2121? 19 What is the remainder when 119860 is divided by 14961? 172 Calculate the remainder when 213746 is divided by 57. 53 Calculate the remainder when 1748 is divided by 241. 61 What is the remainder when 4022 is divided by 1264? 230 What is the remainder when 49767 is divided by 630? 627 Calculate the remainder when 1526050 is divided by 11. 9 Calculate the remainder when 123730 is divided by 36. 34 What is the remainder when 113046 is divided by 55? 21 What is the remainder when 5780 is divided by 5154? 626 What is the remainder when 36355 is divided by 167? 116 What is the remainder when 43258 is divided by 16? 10 Calculate the remainder when 11744 is divided by 42. 26 Calculate the remainder when 1231 is divided by 403. 22 What is the remainder when 140251 is divided by 27? 13 What is the remainder when 46037 is divided by 15343? 8 Calculate the remainder when 3683 is divided by 463. 442 What is the remainder when 268143 is divided by 3270? 3 Calculate the remainder when 4359 is divided by 174. 9 What is the remainder when 24862 is divided by 556? 398 Calculate the remainder when 14111 is divided by 1748. 127 Calculate the remainder when 104 is divided by 85. 19 Calculate the remainder when 106587 is divided by 106580. 7 Calculate the remainder when 64598 is divided by 16130. 78 Calculate the remainder when 74680 is divided by 117. 34 Calculate the remainder when 253928 is divided by 221. 220 Calculate the remainder when 60091 is divided by 60087. 4 What is the remainder when 3653 is divided by 551? 347 Calculate the remainder when 341184 is divided by 27. 12 What is the remainder when 7364 is divided by 157? 142 What is the remainder when 309213 is divided by 829? 825 What is the remainder when 10857 is divided by 1807? 15 What is the remainder when 483326 is divided by 3? 2 What is the remainder when 18524 is divided by 386? 382 What is the remainder when 194645 is divided by 23? 19 Calculate the remainder when 11636 is divided by 2413. 1984 Calculate the remainder when 17463 is divided by 440. 303 What is the remainder when 61139 is divided by 208? 195 Calculate the remainder when 191293 is divided by 64. 61 Calculate the remainder when 73625 is divided by 61. 59 What is the remainder when 4933 is divided by 353? 344 What is the remainder when 41755 is divided by 19? 12 What is the remainder when 403685 is divided by 134553? 26 Calculate the remainder when 24809 is divided by 862. 673 Calculate the remainder when 35751 is divided by 59. 56 Calculate the remainder when 2185 is divided by 35. 15 Calculate the remainder when 3934430 is divided by 339. 335 Calculate the remainder when 50494 is divided by 4590. 4 What is the remainder when 10616 is divided by 136? 8 What is the remainder when 48544 is divided by 45? 34 What is the remainder when 4088 is divided by 1199? 491 Calculate the remainder when 10171 is divided by 39. 31 Calculate the remainder when 14290 is divided by 751. 21 What is the remainder when 136366 is divided by 93? 28 What is the remainder when 81953 is divided by 110? 3 What is the remainder when 77348 is divided by 4? 0 Calculate the remainder when 11619 is divided by 232. 19 Calculate the remainder when 7719 is divided by 561. 426 Calculate the remainder when 1081 is divided by 851. 230 What is the remainder when 282790 is divided by 56557? 5 What is the remainder when 1728 is divided by 308? 188 What is the remainder when 1004 is divided by 917? 87 Calculate the remainder when 76250 is divided by 44. 42 Calculate the remainder when 19702 is divided by 232. 214 What is the remainder when 47435 is divided by 332? 291 What is the remainder when 96771 is divided by 448? 3 What is the remainder when 71153 is divided by 201? 200 What is the remainder when 5170 is divided by 626? 162 What is the remainder when 1924222 is divided by 128? 126 Calculate the remainder when 193 is divided by 91. 11 Calculate the remainder when 125581 is divided by 25113. 16 What is the remainder when 943480 is divided by 288? 280 What is the remainder when 4926 is divided by 353? 337 What is the remainder when 146280 is divided by 6360? 0 What is the remainder when 1020 is divided by 141? 33 What is the remainder when 2821 is divided by 929? 34 What is the remainder when 537 is divided by 54? 51 What is the remainder when 135675 is divided by 67834? 7 What is the remainder when 18718 is divided by 63? 7 Calculate the remainder when 824888 is divided by 1473. 8 What is the remainder when 1298 is divided by 95? 63 What is the remainder when 699 is divided by 193? 120 Calculate the remainder when 23829 is divided by 34. 29 Calculate the remainder when 1074 is divided by 22. 18 Calculate the remainder when 12037 is divided by 6003. 31 What is the remainder when 63675 is divided by 122? 113 What is the remainder when 12892 is divided by 12843? 49 What is the remainder when 2411 is divided by 30? 11 Calculate the remainder when 573 is divided by 77. 34 What is the remainder when 11459 is divided by 106? 11 What is the remainder when 5897 is divided by 369? 362 Calculate the remainder when 6459 is divided by 1749. 1212 Calculate the remainder when 212121 is divided by 203. 189 What is the remainder when 769 is divided by 163? 117 Calculate the remainder when 129538 is divided by 422. 406 Calculate the remainder when 9582 is divided by 58. 12 Calculate the remainder when 9238 is divided by 837. 31 What is the remainder when 6796 is divided by 57? 13 Calculate the remainder when 817 is divided by 134. 13 What is the remainder when 5534 is divided by 1207? 706 Calculate the remainder when 3731 is divided by 144. 131 What is the remainder when 1581 is divided by 363? 129 Calculate the remainder when 18137 is divided by 958. 893 What is the remainder when 854036 is divided by 11? 7 Calculate the remainder when 891 is divided by 294. 9 Calculate the remainder when 4094 is divided by 1942. 210 What is the remainder when 724589 is divided by 102? 83 Calculate the remainder when 16792 is divided by 1049. 8 Calculate the remainder when 10419 is divided by 138. 69 Calculate the remainder when 307 is divided by 296. 11 Calculate the remainder when 19076 is divided by 242. 200 Calculate the remainder when 183187 is divided by 30528. 19 What is the remainder when 36190 is divided by 19? 14 What is the remainder when 6917 is divided by 37? 35 Calculate the remainder when 754469 is divided by 498. 497 Calculate the remainder when 6317 is divided by 1256. 37 What is the remainder when 19251 is divided by 4811? 7 What is the remainder when 4896 is divided by 577? 280 What is the remainder when 124138 is divided by 5910? 28 Calculate the remainder when 5448 is divided by 779. 774 Calculate the remainder when 7769 is divided by 3872. 25 What is the remainder when 1653 is divided by 182? 15 What is the remainder when 11890 is divided by 3898? 196 What is the remainder when 5440 is divided by 319? 17 What is the remainder when 4900 is divided by 114? 112 What is the remainder when 1051 is divided by 140? 71 Calculate the remainder when 71787 is divided by 41. 37 Calculate the remainder when 47754 is divided by 16. 10 Calculate the remainder when 1159071 is divided by 5. 1 Calculate the remainder when 13705 is divided by 403. 3 Calculate the remainder when 1068288 is divided by 10. 8 Calculate the remainder when 1448 is divided by 289. 3 Calculate the remainder when 6311 is divided by 1894. 629 Calculate the remainder when 17783 is divided by 1975. 8 Calculate the remainder when 110523 is divided by 218. 215 What is the remainder when 8456 is divided by 300? 56 What is the remainder when 14358 is divided by 7169? 20 What is the remainder when 39211 is divided by 1874? 1731 Calculate the remainder when 16863 is divided by 152. 143 Calculate the remainder when 12557 is divided by 93. 2 What is the remainder when 46590 is divided by 14? 12 Calculate the remainder when 55567 is divided by 23. 22 Calculate the remainder when 11360 is divided by 167. 4 What is the remainder when 5472 is divided by 912? 0 What is the remainder when 74473 is divided by 46? 45 What is the remainder when 7372 is divided by 211? 198 Calculate the remainder when 47790 is divided by
{ "pile_set_name": "DM Mathematics" }
b, 3/4 Suppose -c - 3*c + 31 = 5*j, -2*j = -2*c + 2. Let h = -401 + 1601/4. Sort 1.1, c, h in descending order. c, 1.1, h Let p = 1.7 - 1.6. Sort p, 2, -5. -5, p, 2 Let a = -2106 + 2103. Let r = -46 - -66. Sort r, a, 3 in ascending order. a, 3, r Suppose -5*v = -v - 60. Let l(q) = -q**2 + 7*q - 1. Let o be l(5). Let w = v - o. Sort 3, 4, w. 3, 4, w Let l = -15.93 - -16. Let q = -0.05 - l. Let t = q + 0.32. Sort 4, t, -6 in decreasing order. 4, t, -6 Suppose 3*q + 6*p = 2*p - 1, 5*q + 10 = -5*p. Let d = -4 + 4. Sort d, -3, q in descending order. d, -3, q Suppose -3*s = -5*q + 81, 4*s - 4*q + 21 = -87. Let z = -32 - s. Let l = 3 + -2.7. Put z, 1/8, l in descending order. l, 1/8, z Let y = 0.02 - 0.02. Suppose -6*g + 6 = -7*g. Let b be (-2)/(-12) + g/(-36). Put y, -1, b in decreasing order. b, y, -1 Suppose 0 - 12 = -3*v. Let t be (1 + (-3)/v)*8. Let s be t/(-9)*(-6)/4. Put s, -4, -2/9 in increasing order. -4, -2/9, s Let j = 0.009 - 14.009. Let f = 13.9 + j. Put f, -4, -2/17, 4 in decreasing order. 4, f, -2/17, -4 Let u(r) = 5*r**2 + 74*r + 26. Let x(m) = -m**2 - 15*m - 5. Let y(k) = -2*u(k) - 11*x(k). Let a be y(-17). Sort 0.3, 1, -3, a in decreasing order. a, 1, 0.3, -3 Let x be -1*(-3)/6*0/(-3). Suppose x*v + 18 = b - 5*v, 4*b - 12 = 5*v. Put 3, b, -0.1 in increasing order. b, -0.1, 3 Suppose 5*f = 3*m + 7, -m + 5*f + 24 = 33. Let t = 0 + -1. Put m, t, 2 in ascending order. t, m, 2 Let x = 72.3 + -71.8. Sort -2/67, x, 2 in descending order. 2, x, -2/67 Let s = 24.7 + 0.3. Let c = 24.6 - s. Put -0.1, -7, c in decreasing order. -0.1, c, -7 Let d = -250 + 1752/7. Sort 2/9, 0.5, d, 5 in descending order. 5, 0.5, d, 2/9 Let o = 263 - 262.9. Let h = -0.35 - 0.05. Sort h, o, -5 in descending order. o, h, -5 Let q = 3582/143 - 328/13. Let m(a) = -a**3 + 4*a**2. Let k be m(3). Suppose 0 = r + 2*r + k. Sort r, -0.3, q in increasing order. r, -0.3, q Let v = -44.4 - -44. Suppose -4*y + 2*h - 7 = y, 2*y - 4*h = -6. Sort v, -0.5, -2/11, y in increasing order. y, -0.5, v, -2/11 Let a = -10 + 10.01. Let z = -7/29 - -79/87. Sort 0.3, 1/3, z, a in increasing order. a, 0.3, 1/3, z Suppose 0*q = 5*q - 10. Let p(d) = d**2 - 20*d + 18. Let i be p(20). Suppose -4*x + 3 = 3*r, 3*r = 6*r - 3*x + i. Sort r, q, 3 in decreasing order. 3, q, r Suppose 2*u = 7*u + 2*f + 3, -7 = u + 2*f. Let m be (4 + -3)*(2 + 13). Suppose 0 = 2*r - 2, -3*o - 2*r = 4 - m. Put 2, u, o in decreasing order. o, 2, u Let w be 1*(8 - (-78)/(-12)). Put 0, -1/3, w, -7/3 in ascending order. -7/3, -1/3, 0, w Let i = 2.5 - 1.4. Let g = 0.7 + i. Let v = g - 2.2. Put 0.2, 2/3, v in decreasing order. 2/3, 0.2, v Let m = -142.8 - -143. Put 3/8, 3, m, -5 in decreasing order. 3, 3/8, m, -5 Suppose 11*y + 88 = 7*y. Let p = -23 - y. Suppose 6 = -3*r + 5*r. Sort p, -2, r in decreasing order. r, p, -2 Let m be (-30)/9*(4 + (5 - 6)). Let v(y) = -2*y - 22. Let u be v(m). Put 3, 1, u, 2 in descending order. 3, 2, 1, u Let h(d) = d**2 - 2*d + 2. Let g be h(4). Let v be 5/25 - 2/g. Let z = 99 + -101. Sort v, 2, z in ascending order. z, v, 2 Let p = 44 - 43.9. Sort p, -1/7, 2/127. -1/7, 2/127, p Let c = 1241 - 1240. Let o be (-34)/(-8) - (-3)/(-12). Sort 3, -3, o, c in increasing order. -3, c, 3, o Let q = 2.927 - 0.027. Let n = -2.5 + q. Put n, -2/5, -0.11 in ascending order. -2/5, -0.11, n Let z = -54 + 380/7. Put z, 27, 5 in increasing order. z, 5, 27 Let a = -2257 - -2256. Sort -1/6, 114, a in descending order. 114, -1/6, a Let a be (-20)/310 - (-378)/93. Put -2, a, 27, 2 in decreasing order. 27, a, 2, -2 Let i(u) = 2*u**2 + 11*u + 17. Let h be i(-6). Let k = h + -19. Sort k, -2, 3, 47. -2, 3, k, 47 Let d(h) = h**3 - 7*h**2 - 10*h + 2. Let b be d(8). Let z(u) = -u**3 - 14*u**2 - u - 11. Let c be z(b). Put -4, 5, c, -2 in ascending order. -4, -2, c, 5 Let y be (-6)/(18/15) - -9. Put -5, -3, y, -29 in ascending order. -29, -5, -3, y Suppose 4*c + 0*x + 18 = -2*x, 0 = -2*c + 3*x + 11. Let w(i) = -33*i + 103. Let m be w(3). Sort m, c, -56. -56, c, m Let o = 80 + -79.23. Let r = o + -3.77. Let j = -0.3 + 0.5. Sort r, j, 8. r, j, 8 Suppose -181*m = -178*m + 18. Let i be 1/((45/m)/5 + -2). Put -2, -2/23, i in ascending order. -2, i, -2/23 Let a(k) = k**3 - k - 6. Let b be a(3). Suppose 2*n + 4*n = -b. Suppose -5*v = -2*u + 12 + 5, u = -2*v - 14. Put -4, n, v in decreasing order. n, -4, v Let x = 7088 - 7129.99. Let d = 42 + x. Sort 2, d, -1 in descending order. 2, d, -1 Let t(a) = a**2 - a + 6. Let q be t(4). Put -4, q, 5 in increasing order. -4, 5, q Let f = -16/29 - 23/116. Sort 0, -0.4, f in descending order. 0, -0.4, f Let r(z) = 3*z**3 + 17*z**2 - 26*z - 13. Let u be r(-7). Put u, -5, -1 in decreasing order. -1, -5, u Suppose -20 = -5*x - 2*d + 7*d, x + 26 = -5*d. Suppose 4*q = -5*f - 0*q + 26, q = 2*f. Let l = 3 + f. Put 2, x, l in decreasing order. l, 2, x Let q be (0 + 40/(-6))*3/(-1). Suppose 0 = -9*m + 13*m + q. Put 4, -3, -2, m in increasing order. m, -3, -2, 4 Let l = -746 + 738. Put l, 24, 2 in descending order. 24, 2, l Suppose j + 2 = -5*c, -5*c - 2*j - 1 = -2. Let f = -7 + 11. Suppose f = -r + 7. Sort -4, c, r in descending order. r, c, -4 Let j(x) = -x**3 - x**2 - 1. Let s be j(-2). Let v be ((-4)/(-14))/((144/112)/(-3)). Sort 1/4, s, v in decreasing order. s, 1/4, v Let y = 511 - 1023/2. Sort 0.5, -0.2, 1/3, y in decreasing order. 0.5, 1/3, -0.2, y Suppose -2*c + 6*c - x + 6 = 0, -5*c - 13 = -4*x. Let j(m) be the second derivative of m**5/4 - m**3/3 - m**2/2 - 319*m. Let t be j(c). Sort t, 5, 1. t, 1, 5 Let i = -159 - -164. Suppose 2*p - 5*p + 6 = 0. Put i, p, -5 in descending order. i, p, -5 Suppose -26 = -4*f - 6. Let r be 25/9 + (-8)/(-36). Suppose 0 = 3*c + 4*g - 23, -4*c + 2*g + 19 = 5*g. Sort f, r, c in decreasing order. f, r, c Let n(y) = 165*y - 1153. Let u be n(7). Sort 0, u, -73 in ascending order. -73, 0, u Let p = 138 + -687/5. Let h = 51/44 + -10/11. Sort p, 3, h in decreasing order. 3, p, h Let w be 54/40 - 6/10. Let b = -2.4 + 0.2. Let y = -2.7 - b. Sort y, w, -0.3 in ascending order. y, -0.3, w Let y be ((-33)/15 + 1)*(-35)/14. Sort 4, 2/9, y, -0.2. -0.2, 2/9, y, 4 Let l be -1 - (-10)/6 - (-273)/63. Put -25, l, 2 in increasing order. -25, 2, l Let f be -2 + 3 + 21 + -27. Put 53, f, -4 in increasing order. f, -4, 53 Let y(t) = -t**2 + 6*t. Let r be y(6). Let a = 7 + -4. Sort r, 4, a. r, a, 4 Suppose -50 - 20 = -4*z - 2*b, 4*b - 20 = 0. Let t = 19 - z. Let o be 2/((2/(-5))/1). Sort 3, t, o in descending order. t, 3, o Let y be 12/(-15)*(-70)/(-4). Let x be y/4*(-12)/(-21). Let a be (-2)/3*12/(-2). Put -1, x, a in descending order. a, -1, x Let p be 2 + (4*(-1)/(-2) - -8). Suppose -5*q + p*q - 35 = 0. Let x = 4 - 8. Put 2, x, q in increasing order. x, 2, q Let q be (1 - 0)*(-16 + 17). Let y be (-273)/56 + q/(-8). Put -11, y, -4 in ascending order. -11, y, -4 Let n(o) = o**3 - 3*o + 3. Suppose 0 = 6*w - 8*w + 4. Let v be n(w). Let k(c) = c**2 + 2*c + 1. Let s be k(-1). Put v, s, -4 in increasing order. -4, s, v Let f = 4.9197 + 0.0803. Sort 4, f, 6, 1 in ascending order. 1, 4, f, 6 Let m = 0.901 - 0.901. Put 2/9, m, -334 in descending order. 2/9, m, -334 Let j be (-1)/3*8 - (-470)/282. Let i(g) = -g - 1. Let d be i(2). Let a(n) = 2*n**2 - 5*n + 2. Let v be a(3). Put j, d, v in increasing order. d, j, v Let q be ((-24)/(-9) - 2)*3. Let b = 0 + q. Let i be (2/(-45))/(b/(-20)). Sort -3/7, 0.5, i. -3/7, i, 0.5 Let w = -6277/21 + 299. Let k be 1011/1348 + (-2)/(-1)*-4. Put -2/3, w, k in descending order. w, -2/3, k Let w = -4.2 + 3.7. Let h(u) = u**3 + 6*u**2 + 3. Let v be h(-6). Let c = -1.1 + 1.5. Sort w, c, v in descending order. v, c, w Suppose 19*m - m = 0. Let p = -13 + 18. Sort p, m, -4 in increasing order. -4, m, p Let u = -19.101 + 0.401. Let k = -18.67 - u. Suppose -3*t + 2 - 3 = n, 3*t = -3*n + 3. Sort k, -0.2, t in decreasing order. k, -0.2, t Suppose 5*n - 8 = a, 0*a - a + 3*n = 4. Suppose 0 = 3*g - 4 - 5. Let q be 6/5*(-10)/3. Sort g, a, q in descending order. g, a, q Let x be 16/(-20)*(-30)/4. Let u = -10.24 - -10.14. Put 2, x, u in descending order. x, 2, u Let i = 455.4 + -455. Let h = -4.6 - -4. Sort i, -1, h in ascending order. -1, h, i Let s = 7 + -5. Suppose 4*a + 4 = j + a, 0 = -j - s*a + 4. Let k = j - 17/4. Put 0, k, -5 in descending order. 0, k, -5 Let g be 3 - (
{ "pile_set_name": "DM Mathematics" }
? True Is 10750859 prime? False Is 132210821 a prime number? True Is 86496335 a composite number? True Is 153398653 prime? True Is 14853233 a composite number? True Is 4172962 composite? True Is 351918497 prime? False Is 7311869 a prime number? False Is 70709357 a composite number? True Is 2358809 composite? True Is 644681 a prime number? False Is 35717455 prime? False Is 128448193 a composite number? False Is 55498661 a composite number? False Is 19257313 prime? False Is 4140859 a prime number? False Is 2126203 a prime number? True Is 56211653 composite? False Is 13301879 prime? True Is 368199179 a composite number? True Is 67905443 a prime number? False Is 78683951 a prime number? True Is 99436021 composite? True Is 8448551 a composite number? False Is 8529023 a composite number? False Is 151969789 composite? True Is 59260841 composite? True Is 217874333 prime? True Is 41438141 a prime number? True Is 7071307 a prime number? False Is 47004241 a composite number? 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{ "pile_set_name": "DM Mathematics" }
it of 210605196? 0 What is the ten thousands digit of 50062855? 6 What is the units digit of 3202661? 1 What is the units digit of 69905311? 1 What is the ten millions digit of 69430789? 6 What is the hundred thousands digit of 9899231? 8 What is the millions digit of 83083125? 3 What is the tens digit of 316499614? 1 What is the tens digit of 13237189? 8 What is the tens digit of 33949425? 2 What is the hundreds digit of 33869912? 9 What is the hundreds digit of 26546338? 3 What is the ten millions digit of 55336676? 5 What is the ten thousands digit of 35836855? 3 What is the hundred thousands digit of 8051326227? 3 What is the millions digit of 730345043? 0 What is the millions digit of 21187889? 1 What is the units digit of 1008969609? 9 What is the ten millions digit of 113694383? 1 What is the hundred millions digit of 1068822264? 0 What is the hundred thousands digit of 27279671? 2 What is the ten thousands digit of 72509890? 0 What is the hundred millions digit of 104822538? 1 What is the millions digit of 1250004454? 0 What is the hundred thousands digit of 955544909? 5 What is the ten thousands digit of 79449268? 4 What is the hundred millions digit of 137672467? 1 What is the units digit of 7965465? 5 What is the units digit of 67479872? 2 What is the tens digit of 147700784? 8 What is the thousands digit of 341714660? 4 What is the ten thousands digit of 84817673? 1 What is the hundred thousands digit of 36285168? 2 What is the hundred millions digit of 1146328378? 1 What is the tens digit of 828983654? 5 What is the hundreds digit of 453627712? 7 What is the millions digit of 104360314? 4 What is the hundred thousands digit of 394840031? 8 What is the hundreds digit of 34445162? 1 What is the tens digit of 208378726? 2 What is the thousands digit of 18887200? 7 What is the hundred thousands digit of 765807289? 8 What is the millions digit of 142488474? 2 What is the units digit of 120885313? 3 What is the hundreds digit of 566592052? 0 What is the units digit of 14320065? 5 What is the units digit of 2962547? 7 What is the tens digit of 84998007? 0 What is the tens digit of 385854010? 1 What is the hundred thousands digit of 60904590? 9 What is the tens digit of 3034366? 6 What is the thousands digit of 17694412? 4 What is the thousands digit of 673066088? 6 What is the hundred thousands digit of 127610691? 6 What is the hundred thousands digit of 1074108555? 1 What is the hundred millions digit of 155931230? 1 What is the ten millions digit of 192896993? 9 What is the hundred thousands digit of 47890228? 8 What is the hundred thousands digit of 7398486219? 4 What is the hundred millions digit of 6678918422? 6 What is the thousands digit of 1350977952? 7 What is the hundreds digit of 6350085116? 1 What is the ten thousands digit of 664986473? 8 What is the thousands digit of 10932667? 2 What is the thousands digit of 277669055? 9 What is the hundred thousands digit of 7085060449? 0 What is the units digit of 816103619? 9 What is the ten thousands digit of 950066698? 6 What is the hundred millions digit of 3317048804? 3 What is the hundreds digit of 4777969417? 4 What is the thousands digit of 717606029? 6 What is the hundred thousands digit of 125469924? 4 What is the hundred thousands digit of 47233555? 2 What is the units digit of 129279711? 1 What is the millions digit of 223440767? 3 What is the units digit of 2027171044? 4 What is the thousands digit of 1689175341? 5 What is the billions digit of 1592957374? 1 What is the ten millions digit of 4159466301? 5 What is the hundred thousands digit of 608419815? 4 What is the ten thousands digit of 136805017? 0 What is the hundred thousands digit of 163298191? 2 What is the hundreds digit of 330462382? 3 What is the units digit of 7389443887? 7 What is the hundred thousands digit of 755751549? 7 What is the ten thousands digit of 82386995? 8 What is the ten thousands digit of 42368015? 6 What is the hundred thousands digit of 1640140? 6 What is the ten millions digit of 226130360? 2 What is the hundred millions digit of 372923549? 3 What is the ten millions digit of 39911228? 3 What is the units digit of 54946622? 2 What is the tens digit of 971452140? 4 What is the tens digit of 33542967? 6 What is the hundreds digit of 78460021? 0 What is the hundred thousands digit of 443566662? 5 What is the ten thousands digit of 26408303? 0 What is the hundred millions digit of 872601203? 8 What is the ten millions digit of 169034698? 6 What is the thousands digit of 98186081? 6 What is the millions digit of 543844933? 3 What is the units digit of 1919162629? 9 What is the units digit of 990524941? 1 What is the units digit of 93207239? 9 What is the hundred millions digit of 141619202? 1 What is the tens digit of 1862104597? 9 What is the hundreds digit of 77157184? 1 What is the billions digit of 1550743805? 1 What is the units digit of 1570696974? 4 What is the thousands digit of 3198394125? 4 What is the hundreds digit of 1826647399? 3 What is the hundred thousands digit of 2545907804? 9 What is the tens digit of 41501246? 4 What is the units digit of 2411215725? 5 What is the tens digit of 134443806? 0 What is the hundred thousands digit of 558115530? 1 What is the hundred millions digit of 468989719? 4 What is the hundred thousands digit of 35618462? 6 What is the hundred thousands digit of 1644018618? 0 What is the hundreds digit of 231622672? 6 What is the millions digit of 1380855436? 0 What is the ten millions digit of 5180028375? 8 What is the thousands digit of 970364162? 4 What is the hundreds digit of 68200169? 1 What is the hundreds digit of 93061454? 4 What is the hundreds digit of 425992590? 5 What is the hundred millions digit of 522393984? 5 What is the units digit of 134659997? 7 What is the ten thousands digit of 2223617? 2 What is the hundreds digit of 35627597? 5 What is the hundreds digit of 131714180? 1 What is the ten millions digit of 7448618840? 4 What is the tens digit of 369278752? 5 What is the tens digit of 22903768? 6 What is the millions digit of 2520332360? 0 What is the ten millions digit of 113232402? 1 What is the ten thousands digit of 106895205? 9 What is the tens digit of 2207216417? 1 What is the thousands digit of 139909570? 9 What is the units digit of 10482685? 5 What is the millions digit of 52347908? 2 What is the ten millions digit of 60156343? 6 What is the hundreds digit of 58362212? 2 What is the ten thousands digit of 250481500? 8 What is the ten millions digit of 1219074814? 1 What is the units digit of 164911981? 1 What is the units digit of 26261147? 7 What is the ten thousands digit of 47618523? 1 What is the ten millions digit of 730546149? 3 What is the millions digit of 3215286196? 5 What is the hundred thousands digit of 1005129057? 1 What is the units digit of 29567204? 4 What is the hundred thousands digit of 1702335827? 3 What is the hundreds digit of 137525003? 0 What is the ten thousands digit of 957361331? 6 What is the ten thousands digit of 69084945? 8 What is the ten thousands digit of 610771007? 7 What is the hundred millions digit of 6515292783? 5 What is the units digit of 1049068399? 9 What is the hundred thousands digit of 1739393496? 3 What is the ten thousands digit of 148203444? 0 What is the tens digit of 44403541? 4 What is the hundred thousands digit of 146107803? 1 What is the units digit of 1318779860? 0 What is the ten thousands digit of 179733540? 3 What is the ten thousands digit of 44623559? 2 What is the hundreds digit of 63549801? 8 What is the units digit of 264393623? 3 What is the hundred millions digit of 1679396711? 6 What is the ten millions digit of 66606621? 6 What is the millions digit of 605595362? 5 What is the hundred millions digit of 269742668? 2 What is the ten thousands digit of 19538198? 3 What is the ten millions digit of 187189321? 8 What is the hundreds digit of 100314889? 8 What is the hundreds digit of 66436770? 7 What is the ten thousands digit of 3194193828? 9 What is the hundred millions digit of 2493888054? 4 What is the hundreds digit of 1120271? 2 What is the millions digit of 33217047? 3 What is the units digit of 42614937? 7 What is the hundreds digit of 167632295? 2 What
{ "pile_set_name": "DM Mathematics" }
e remainder when 2327161 is divided by 14. 11 What is the remainder when 2769354 is divided by 145? 144 Calculate the remainder when 129836 is divided by 6. 2 Calculate the remainder when 12043 is divided by 1182. 223 Calculate the remainder when 1992 is divided by 684. 624 What is the remainder when 23680 is divided by 2935? 200 What is the remainder when 10933 is divided by 1807? 91 What is the remainder when 93155 is divided by 24? 11 What is the remainder when 57967 is divided by 287? 280 What is the remainder when 4437 is divided by 6? 3 Calculate the remainder when 83654 is divided by 138. 26 What is the remainder when 877 is divided by 382? 113 What is the remainder when 64805 is divided by 600? 5 Calculate the remainder when 4060 is divided by 107. 101 Calculate the remainder when 365504 is divided by 177. 176 Calculate the remainder when 5114 is divided by 43. 40 Calculate the remainder when 36582 is divided by 26. 0 What is the remainder when 169 is divided by 138? 31 What is the remainder when 4997 is divided by 22? 3 What is the remainder when 1184 is divided by 242? 216 Calculate the remainder when 5624 is divided by 84. 80 What is the remainder when 65528 is divided by 10? 8 Calculate the remainder when 55537 is divided by 5550. 37 What is the remainder when 1429 is divided by 68? 1 What is the remainder when 912023 is divided by 456007? 9 What is the remainder when 22082 is divided by 362? 0 Calculate the remainder when 366337 is divided by 5018. 23 What is the remainder when 119807 is divided by 312? 311 Calculate the remainder when 15352 is divided by 7132. 1088 Calculate the remainder when 120168 is divided by 60. 48 Calculate the remainder when 201338 is divided by 40256. 58 What is the remainder when 71407 is divided by 1487? 31 Calculate the remainder when 793341 is divided by 188. 169 Calculate the remainder when 10090 is divided by 58. 56 What is the remainder when 1445 is divided by 466? 47 Calculate the remainder when 126437 is divided by 128. 101 What is the remainder when 11544 is divided by 1277? 51 What is the remainder when 7413 is divided by 214? 137 What is the remainder when 97309 is divided by 19461? 4 What is the remainder when 15436 is divided by 297? 289 What is the remainder when 1795391 is divided by 897688? 15 What is the remainder when 101327 is divided by 25331? 3 Calculate the remainder when 75611 is divided by 3024. 11 What is the remainder when 16604 is divided by 2726? 248 Calculate the remainder when 86719 is divided by 104. 87 Calculate the remainder when 46799 is divided by 46798. 1 What is the remainder when 116762 is divided by 121? 118 What is the remainder when 143238 is divided by 17904? 6 Calculate the remainder when 217864 is divided by 72618. 10 What is the remainder when 8089 is divided by 818? 727 What is the remainder when 24689 is divided by 12? 5 Calculate the remainder when 1410 is divided by 240. 210 Calculate the remainder when 3660 is divided by 1802. 56 What is the remainder when 12254 is divided by 7? 4 Calculate the remainder when 4833 is divided by 31. 28 Calculate the remainder when 1895475 is divided by 92. 91 What is the remainder when 20778 is divided by 6901? 75 Calculate the remainder when 24836 is divided by 65. 6 Calculate the remainder when 2841 is divided by 109. 7 What is the remainder when 85232 is divided by 81? 20 What is the remainder when 128943 is divided by 32232? 15 Calculate the remainder when 5516 is divided by 461. 445 What is the remainder when 6480 is divided by 103? 94 What is the remainder when 3007 is divided by 14? 11 Calculate the remainder when 1095669 is divided by 10052. 1 Calculate the remainder when 4885100 is divided by 24. 20 What is the remainder when 983 is divided by 815? 168 What is the remainder when 97068 is divided by 148? 128 What is the remainder when 5088815 is divided by 14? 11 What is the remainder when 5092 is divided by 203? 17 What is the remainder when 1310 is divided by 552? 206 What is the remainder when 54613 is divided by 55? 53 Calculate the remainder when 118521 is divided by 249. 246 What is the remainder when 640 is divided by 267? 106 What is the remainder when 51130 is divided by 115? 70 Calculate the remainder when 349131 is divided by 4. 3 Calculate the remainder when 3795 is divided by 152. 147 What is the remainder when 1208337 is divided by 45? 42 Calculate the remainder when 3792 is divided by 756. 12 Calculate the remainder when 61131 is divided by 31. 30 Calculate the remainder when 3209 is divided by 82. 11 What is the remainder when 769 is divided by 264? 241 What is the remainder when 122909 is divided by 6828? 5 Calculate the remainder when 76942 is divided by 12. 10 Calculate the remainder when 88847 is divided by 259. 10 Calculate the remainder when 2253 is divided by 362. 81 What is the remainder when 1134 is divided by 33? 12 What is the remainder when 56949 is divided by 14222? 61 Calculate the remainder when 312 is divided by 205. 107 Calculate the remainder when 14498 is divided by 33. 11 What is the remainder when 4468 is divided by 590? 338 Calculate the remainder when 248991 is divided by 261. 258 Calculate the remainder when 6829 is divided by 3410. 9 What is the remainder when 19213 is divided by 408? 37 Calculate the remainder when 133194 is divided by 85. 84 What is the remainder when 6229 is divided by 1898? 535 Calculate the remainder when 5132 is divided by 273. 218 What is the remainder when 60034 is divided by 10? 4 Calculate the remainder when 331991 is divided by 2699. 14 Calculate the remainder when 684762 is divided by 394. 384 What is the remainder when 1931 is divided by 322? 321 Calculate the remainder when 9580 is divided by 1899. 85 Calculate the remainder when 7167 is divided by 44. 39 What is the remainder when 495 is divided by 174? 147 What is the remainder when 38887 is divided by 4855? 47 What is the remainder when 2777 is divided by 666? 113 Calculate the remainder when 246631 is divided by 41103. 13 What is the remainder when 75040 is divided by 59? 51 What is the remainder when 103345 is divided by 26? 21 What is the remainder when 352120 is divided by 176056? 8 What is the remainder when 2026002 is divided by 49? 48 Calculate the remainder when 9189 is divided by 452. 149 What is the remainder when 79 is divided by 33? 13 Calculate the remainder when 7446 is divided by 2415. 201 What is the remainder when 13164 is divided by 13097? 67 Calculate the remainder when 221024 is divided by 105. 104 What is the remainder when 19365 is divided by 1479? 138 What is the remainder when 1613 is divided by 412? 377 What is the remainder when 10705 is divided by 2671? 21 What is the remainder when 73932 is divided by 45? 42 Calculate the remainder when 33667 is divided by 3731. 88 What is the remainder when 45607 is divided by 18? 13 What is the remainder when 8365886 is divided by 1951? 1949 Calculate the remainder when 356353 is divided by 356. 353 Calculate the remainder when 5820 is divided by 151. 82 Calculate the remainder when 17869 is divided by 21. 19 What is the remainder when 23990 is divided by 82? 46 What is the remainder when 161319 is divided by 42? 39 Calculate the remainder when 4517 is divided by 24. 5 What is the remainder when 9642 is divided by 1202? 26 Calculate the remainder when 2588 is divided by 1175. 238 What is the remainder when 124209 is divided by 557? 555 Calculate the remainder when 581129 is divided by 149. 29 Calculate the remainder when 19777 is divided by 112. 65 Calculate the remainder when 504270 is divided by 8. 6 Calculate the remainder when 6131 is divided by 688. 627 Calculate the remainder when 4009 is divided by 19. 0 Calculate the remainder when 14934 is divided by 131. 0 What is the remainder when 3247 is divided by 323? 17 Calculate the remainder when 87562 is divided by 3243. 1 Calculate the remainder when 253460 is divided by 11. 9 Calculate the remainder when 9218 is divided by 104. 66 Calculate the remainder when 8076 is divided by 34. 18 Calculate the remainder when 26250 is divided by 1807. 952 Calculate the remainder when 29122 is divided by 25. 22 What is the remainder when 3911 is divided by 543? 110 Calculate the rem
{ "pile_set_name": "DM Mathematics" }
er 1:38 PM? 5:07 PM How many minutes are there between 2:09 AM and 6:20 AM? 251 What is 432 minutes before 4:11 PM? 8:59 AM What is 524 minutes before 8:42 AM? 11:58 PM What is 302 minutes before 8:38 AM? 3:36 AM What is 596 minutes before 12:45 PM? 2:49 AM What is 374 minutes after 4:07 PM? 10:21 PM What is 617 minutes before 8:15 PM? 9:58 AM What is 453 minutes before 6:53 AM? 11:20 PM How many minutes are there between 10:22 PM and 8:00 AM? 578 How many minutes are there between 8:49 AM and 1:40 PM? 291 How many minutes are there between 4:19 AM and 11:04 AM? 405 How many minutes are there between 5:15 PM and 8:21 PM? 186 What is 588 minutes before 9:46 PM? 11:58 AM What is 159 minutes before 5:05 AM? 2:26 AM How many minutes are there between 3:46 AM and 3:23 PM? 697 How many minutes are there between 7:08 AM and 4:57 PM? 589 What is 277 minutes after 2:38 PM? 7:15 PM How many minutes are there between 4:18 AM and 7:47 AM? 209 What is 709 minutes after 6:43 AM? 6:32 PM What is 445 minutes after 9:01 AM? 4:26 PM What is 254 minutes after 4:53 PM? 9:07 PM How many minutes are there between 7:31 AM and 4:50 PM? 559 How many minutes are there between 2:02 PM and 4:12 PM? 130 What is 332 minutes before 7:41 AM? 2:09 AM How many minutes are there between 8:40 AM and 5:32 PM? 532 How many minutes are there between 7:42 AM and 5:06 PM? 564 What is 482 minutes after 9:02 PM? 5:04 AM What is 41 minutes before 9:18 AM? 8:37 AM What is 77 minutes after 11:30 AM? 12:47 PM What is 104 minutes before 1:27 PM? 11:43 AM What is 315 minutes before 3:02 AM? 9:47 PM How many minutes are there between 10:11 AM and 1:28 PM? 197 What is 354 minutes before 11:26 AM? 5:32 AM How many minutes are there between 6:31 AM and 2:09 PM? 458 How many minutes are there between 9:12 PM and 2:04 AM? 292 How many minutes are there between 5:43 AM and 7:24 AM? 101 What is 485 minutes after 2:37 AM? 10:42 AM What is 19 minutes after 2:32 PM? 2:51 PM How many minutes are there between 12:06 AM and 5:59 AM? 353 What is 690 minutes before 6:05 AM? 6:35 PM What is 482 minutes before 11:42 AM? 3:40 AM What is 595 minutes before 12:17 PM? 2:22 AM What is 570 minutes after 9:28 AM? 6:58 PM How many minutes are there between 7:20 PM and 1:01 AM? 341 How many minutes are there between 7:05 AM and 1:12 PM? 367 How many minutes are there between 5:48 PM and 11:05 PM? 317 What is 41 minutes after 7:32 AM? 8:13 AM How many minutes are there between 2:31 AM and 3:53 AM? 82 What is 705 minutes before 12:44 AM? 12:59 PM What is 421 minutes before 6:02 AM? 11:01 PM How many minutes are there between 4:18 AM and 9:39 AM? 321 What is 88 minutes before 5:59 AM? 4:31 AM What is 279 minutes before 3:04 AM? 10:25 PM How many minutes are there between 3:46 PM and 10:14 PM? 388 How many minutes are there between 10:25 AM and 8:20 PM? 595 What is 388 minutes before 7:04 PM? 12:36 PM What is 97 minutes after 10:24 AM? 12:01 PM How many minutes are there between 10:52 PM and 8:22 AM? 570 What is 386 minutes before 9:38 PM? 3:12 PM How many minutes are there between 9:03 AM and 7:39 PM? 636 What is 665 minutes before 2:29 AM? 3:24 PM What is 310 minutes after 3:00 AM? 8:10 AM What is 391 minutes before 11:40 PM? 5:09 PM How many minutes are there between 3:05 AM and 12:49 PM? 584 What is 391 minutes after 7:21 PM? 1:52 AM What is 576 minutes before 12:34 PM? 2:58 AM What is 714 minutes before 11:40 PM? 11:46 AM How many minutes are there between 8:25 PM and 6:13 AM? 588 How many minutes are there between 2:23 PM and 5:34 PM? 191 How many minutes are there between 4:08 PM and 7:37 PM? 209 How many minutes are there between 6:48 PM and 5:52 AM? 664 What is 295 minutes after 10:25 AM? 3:20 PM How many minutes are there between 8:31 AM and 2:44 PM? 373 What is 558 minutes before 7:01 AM? 9:43 PM How many minutes are there between 9:25 AM and 3:56 PM? 391 What is 599 minutes after 7:51 PM? 5:50 AM What is 453 minutes before 1:32 PM? 5:59 AM What is 715 minutes before 4:34 AM? 4:39 PM How many minutes are there between 9:11 PM and 7:29 AM? 618 What is 644 minutes after 3:25 AM? 2:09 PM What is 39 minutes after 7:50 AM? 8:29 AM What is 708 minutes before 10:28 AM? 10:40 PM What is 596 minutes after 11:14 AM? 9:10 PM How many minutes are there between 8:23 PM and 8:29 PM? 6 What is 709 minutes before 8:52 PM? 9:03 AM What is 260 minutes after 10:11 AM? 2:31 PM What is 386 minutes after 3:59 PM? 10:25 PM What is 627 minutes after 12:10 AM? 10:37 AM How many minutes are there between 4:06 PM and 2:42 AM? 636 What is 388 minutes before 1:16 AM? 6:48 PM How many minutes are there between 4:36 PM and 4:40 PM? 4 What is 60 minutes after 4:19 AM? 5:19 AM How many minutes are there between 3:46 PM and 1:24 AM? 578 What is 543 minutes after 8:22 AM? 5:25 PM How many minutes are there between 1:32 AM and 5:42 AM? 250 How many minutes are there between 3:28 AM and 7:40 AM? 252 What is 322 minutes before 4:18 PM? 10:56 AM How many minutes are there between 9:14 AM and 12:38 PM? 204 How many minutes are there between 5:42 AM and 3:30 PM? 588 What is 430 minutes before 10:56 AM? 3:46 AM What is 202 minutes after 7:42 AM? 11:04 AM How many minutes are there between 2:07 AM and 10:17 AM? 490 What is 404 minutes before 2:19 PM? 7:35 AM How many minutes are there between 1:16 AM and 9:40 AM? 504 How many minutes are there between 9:06 PM and 9:18 PM? 12 What is 41 minutes before 6:00 PM? 5:19 PM What is 77 minutes after 7:33 PM? 8:50 PM How many minutes are there between 5:54 AM and 12:25 PM? 391 What is 530 minutes after 8:49 PM? 5:39 AM What is 38 minutes before 1:15 PM? 12:37 PM What is 50 minutes before 1:15 PM? 12:25 PM How many minutes are there between 9:33 PM and 8:00 AM? 627 What is 625 minutes after 5:11 PM? 3:36 AM What is 353 minutes before 9:59 AM? 4:06 AM What is 472 minutes before 11:32 PM? 3:40 PM What is 568 minutes before 1:22 PM? 3:54 AM What is 400 minutes before 9:29 PM? 2:49 PM What is 679 minutes before 11:13 PM? 11:54 AM How many minutes are there between 8:48 AM and 9:26 AM? 38 How many minutes are there between 8:47 PM and 6:54 AM? 607 What is 693 minutes after 1:33 AM? 1:06 PM What is 443 minutes before 8:17 AM? 12:54 AM How many minutes are there between 4:23 AM and 2:12 PM? 589 What is 643 minutes before 1:20 PM? 2:37 AM What is 443 minutes after 6:59 AM? 2:22 PM How many minutes are there between 1:12 AM and 3:20 AM? 128 What is 56 minutes after 8:07 PM? 9:03 PM What is 33 minutes after 12:16 AM? 12:49 AM How many minutes are there between 12:27 PM and 3:12 PM? 165 What is 355 minutes before 2:06 PM? 8:11 AM How many minutes are there between 11:34 AM and 11:01 PM? 687 What is 255 minutes before 9:25 PM? 5:10 PM How many minutes are there between 6:10 PM and 6:14 PM? 4 What is 121 minutes before 9:37 AM? 7:36 AM How many minutes are there between 11:43 AM and 2:54 PM? 191 How many minutes are there between 7:22 AM and 6:44 PM? 682 How many minutes are there between 6:25 PM and 6:11 AM? 706 How many minutes are there between 12:39 PM and 9:52 PM? 553 What is 439 minutes before 11:46 AM? 4:27 AM How many minutes are there between 4:27 PM and 5:29 PM? 62 How many minutes are there between 12:26 PM and 5:24 PM? 298 What is 408 minutes after 11:14 AM? 6:02 PM What is 505 minutes after 10:53 AM? 7:18 PM How many minutes are there between 4:23 PM and 6:14 PM? 111 What is 270 minutes before 12:30 PM? 8:00 AM What is 19 minutes before 6:04 PM? 5:45 PM What is 672 minutes after 6:01 PM? 5:13 AM What is 445 minutes after 10:11 PM? 5:36 AM What is 142 minutes after 10:34 AM? 12:56 PM What is 48 minutes after 7:31 AM? 8:19 AM How many minutes are there between 12:40 AM and 5:29 AM? 289 How many minutes are there between 8:22 PM and 3:12 AM? 410 How many minutes are there between 12:46 PM and 12:01 AM? 675 How many minutes are there between 9:12 AM and 7:28 PM? 616 How many minutes are there between 5:43 AM and 12:37 PM? 414 How many minutes are there between 2:14 PM and 11:46 PM? 572 How many minutes are there between 2:01 AM and 1:41 PM? 700 How many minutes are there between 12:52 PM and 7:50 PM? 418 What is 710 minutes before 10:29 AM? 10:39 PM How many minutes are there between 11:26 AM and 11:20 PM? 714 H
{ "pile_set_name": "DM Mathematics" }
*l)/(l*l/l**(3/8)))/((l**(-1)/(l*l*l**(1/7)))/(((l**4/l)/l)/l**(2/21))) assuming l is positive. l**(32393/280) Simplify (m*m/m**(2/3)*m*m**(-3))/(m**(1/4))**(-23/3)*((m*m/(m/(m*m/(m/m**(-1/19))*m*m)))/((m**(4/3)/m*m*m)/m))**(3/19) assuming m is positive. m**(2401/1444) Simplify (p/p**(-43)*p/((p**(-15)*p)/p*p))/(p*p**(-43)*p/((p*p*p**(-5/6)*p)/p*p)) assuming p is positive. p**(613/6) Simplify ((x/(x/(x/x**(-1))*x))**38*(x**2*x*x)**(-6))/((x*x/(x*x**1)*x)**50*x**(-6)*x*x**(-5/6)) assuming x is positive. x**(-181/6) Simplify (((a/(a/((a**(2/41)/a)/a)))/((a**(-2/7)*a)/a))/(a/((a/(a*a**(1/15)/a))/a)*a*a/((a**19/a)/a)*a))**25 assuming a is positive. a**(242540/861) Simplify ((f**(-2/3)*f**(4/3)*(f*f/(f/(f*f**(-1))))/(f*f**(3/4)))**(-40))**(-3/13) assuming f is positive. f**(-10/13) Simplify ((l**7/l)/(((l/l**0)/l)/l*l)*(l*l**(1/40))/l*l/l**(1/3))**45 assuming l is positive. l**(2409/8) Simplify (i**(-3)/((i**(-3/8)*i)/i*i)*i**(1/2)*i/((i**(-2/7)/i)/i*i))**(2/71) assuming i is positive. i**(-47/1988) Simplify ((l/(l**33*l))/(l/l**(3/23))*l**(-1)*l/l**(-2/47))**(-5/4) assuming l is positive. l**(182835/4324) Simplify (f**(2/43)*f**(-12))**24/((f*f**(1/2)*f)**(-47)/(f**8*f*f**(2/5)/f)) assuming f is positive. f**(-69223/430) Simplify (((o**9)**(-1/2))**(-12))**(1/23) assuming o is positive. o**(54/23) Simplify ((v**18/v)/(v*v**15*v)*((v*v**(-24))/v)/v**(-6/13))**32 assuming v is positive. v**(-9792/13) Simplify ((j**(-5/6)*j*j)**(-3/25)/(((j**7*j*j*j)/j)/j**(7/3)))**(5/6) assuming j is positive. j**(-1021/180) Simplify (h/h**(-5)*h**12)**(-1/19)*((h**(3/8)/h)/(h/(h*h/((h/(h**(-2/23)*h))/h))))**(-2/41) assuming h is positive. h**(-72399/71668) Simplify ((((s/s**(-2/39))/s*s)/s**(-1))**39)**(25/6) assuming s is positive. s**(1000/3) Simplify ((i**2*i*i)**(-46)*(i*i/i**(-8))/(i**8*i))/((i*i**(1/2))/i*i**(2/5)*((i/i**(-2/15))/i)/(i/((i*(i**0/i)/i)/i))) assuming i is positive. i**(-5431/30) Simplify w/w**(-24)*w/w**(2/33)*w*w/w**(-23)*w/(w/(w/w**5*w)*w) assuming w is positive. w**(1549/33) Simplify ((p*p**(15/7))/(p/(((p*p**(-1)/p)/p)/p))*(p/p**(6/7))/(p**31/p))**(-16) assuming p is positive. p**(3440/7) Simplify ((h**(-4/3)/(h**(2/9)/h))/(h**(-2/15))**1)**(-7/8) assuming h is positive. h**(133/360) Simplify ((r*r**4*r)/r*r)/(r**(1/15)/r)*(r/((r/r**(1/2))/r*r))**(4/7)*(r*r/r**(-3)*r*r*r*r*r**4/r)/(r**9*r**(-3)/r) assuming r is positive. r**(1493/105) Simplify ((((x*x*x/x**4)/x)/x)/(((x*x**(-2/11))/x*x)/x))**(46/5)/(x**(-3/7)/x**(-1/3)*(x/x**0)**(-40/3)) assuming x is positive. x**(-4812/385) Simplify ((t**(-1/5))**(-4/9)/(t**19*((t*t**(10/7))/t)/t))**(-2/57) assuming t is positive. t**(12184/17955) Simplify q**(-44)*((q**(-7)/q)/q)/q*(q**(-3/5)/q)/((q/q**(-1/4))/q*q) assuming q is positive. q**(-1137/20) Simplify ((w/(w*w*w/(w/w**(3/4)))*w**(-1/2)*((w**6*w)/w)/w*(w**(-1/6)*w)/w)**(4/15))**(4/7) assuming w is positive. w**(124/315) Simplify ((g*g*g*g**(-3)*g*g)/g**(-3/5))**(-4/7)*(g/(g/g**(-4/3)*g)*g**(-5))/(g*g*g**(-3/5)*g**(-1/4)/g*g) assuming g is positive. g**(-4187/420) Simplify ((p**(-2/5)*p)**21)**(18/5)*(p**2*(p/(p/(p/p**3)))/p)/(p**3/(p**0*p)) assuming p is positive. p**(1059/25) Simplify ((b/(b*b**(2/3)*b))**(4/17)*(b**(-7)/b)/b**(-1))/((b**(2/5)*b)**(25/6))**(-25) assuming b is positive. b**(4707/34) Simplify (((v*(v*((v*v*v*v*v**(-2/11))/v*v)/v*v*v)/v)/v**(-5))/(v**(-8)*v**(-1)))/(v**(-4/9)/v**2)**1 assuming v is positive. v**(2204/99) Simplify (((((z*z*z*z**(1/4)*z)/z)/z)/z*z**5*z*(z/z**2)/(z*z/z**(-2/9)))**(2/45))**(32/3) assuming z is positive. z**(464/243) Simplify (f/(f**(5/4)*f)*(f**(-2/11)/f)/f*f*(f*f/(f/(f/((f/f**(-1/3))/f)))*f*f)**(1/32))/((f*f*f**(-1/6))/(f*f*f/(f**(-13)/f)))**(-1/20) assuming f is positive. f**(-5413/1760) Simplify (h**(1/3))**(2/11)*(h*h**1)**(-2)*h/(h/h**(-4/7))*h**1/h*(h**(-1)*h)**(-41) assuming h is positive. h**(-1042/231) Simplify (r**(-2/7)*r/r**(-2/11))**(3/4)*((r*r*r*r**(2/5))/r)**(-1/8)/(r**(2/13)/((r/((r*r**(1/8)*r*r)/r))/r*r)) assuming r is positive. r**(-36307/40040) Simplify (p**(-34)/p**41)/(p*p**(-8/7))**(5/6) assuming p is positive. p**(-3145/42) Simplify f**(-5)*f*f**(1/6)*((f**(-2)*f)/f)/f**(-2)*(f**(-6)/f*f*f**(-2/3))/(f**(2/3)/(f**(-2/3)*f)) assuming f is positive. f**(-65/6) Simplify (u*(u**(1/2)/u)/u*u**1/u)**(-22)/((u/u**(-2/5)*u*u)**49)**(-4/7) assuming u is positive. u**(531/5) Simplify (((f*f/(f**1*f))/f)**(-15)*f**(-2/3)/f**(-1))/((f**1)**(-2/57)*f**(-2)*f*(f*((f*f**(1/4))/f)/f)/f*f*f) assuming f is positive. f**(1149/76) Simplify (p**1)**(-31)*(p/(p*p**(1/5)))/p**(2/7)*p**(1/7)/p**(-4/3)*p**4/p*p*(p*p*p**2*p)/p assuming p is positive. p**(-2311/105) Simplify ((w**(2/15)*w)**(2/41)*(w**4)**(-24))**(-6) assuming w is positive. w**(118012/205) Simplify ((h*(((h*h**(3/14)*h)/h)/h)/h)**(-18)*h**25/((h*h**(-3/13))/h))**(-49) assuming h is positive. h**(-13615/13) Simplify (q*q*q**40*q/(q/(q**(-1/35)*q)))/(q**30/q**42) assuming q is positive. q**(1924/35) Simplify (j/j**0)**(-21)*(((j/(j/(j*j**(-1/7))))/j)/j)/(j/(j/(j**(-3)*j)*j))*j**(-8)*j**0*j/((j/(j*j/j**(-2/17)*j))/j)*j*j*j**(-1) assuming j is positive. j**(-2621/119) Simplify (s/(s*((s*s**1)/s*s*s)/s*s))**16*s/s**(-1)*s*s**0*(s/((s**(1/2)/s)/s)*s*s**3)**(-29) assuming s is positive. s**(-467/2) Simplify ((u**(-2/17)*u*u*u**(-9/5))/(u/u**(-3)*u**0))**17 assuming u is positive. u**(-333/5) Simplify (v*v**(2/11))/v*v*((v**(-1/2)*v)/v)/v*v**(-1/4)/((v/v**(-2/5))/v)*(v**(-7)/v**5)**(16/7) assuming v is positive. v**(-43731/1540) Simplify (((l*(l/(l/((l/(l**(4/7)/l))/l))*l)/l*l)/(l**(4/7)/l)*(l/((l/l**(1/4))/l*l))**30)**(-10/11))**(-23) assuming l is positive. l**(16675/77) Simplify ((p**(-2/3)/p)/p)**(13/2)*(p/((p/(p**(-2/3)*p)*p)/p))/(p*p**(-2/19))*(p**(-3/4)/p**(-1))**3 assuming p is positive. p**(-1303/76) Simplify (((z*z*z**7/z*z)/((z**(1/13)/z)/z))/((z/(z*z/(z/(z**(2/15)*z))))/(z*z*z**(-10)*z)))**(-2/85) assuming z is positive. z**(-116/975) Simplify (w/(w/(((w*w**(-2)/w)/w)/w)*w)*w**(4/7)/w)**(-22)*w**(-1/2)/(w/(w**(4/3)*w))*w*w**(2/13)*w**(2/3) assuming w is positive. w**(22219/182) Simplify (((c**3/c**(-1))**23)**(-21))**44 assuming c is positive. c**(-85008) Simplify (t/(t/(t/t**(1/3)*t)))**(1/30)*(t*t**(2/17))/((t*(t**(2/3)/t)/t)/t)*(t**(2/13)*t*t*t**(-3/4))**(-2/29) assuming t is positive. t**(138995/57681) Simplify (((d*d**(-6)*d**(3/2))/((d/d**(-1/2))/(d*d**(-9/2)/d)))**(-4/7))**(1/11) assuming d is positive. d**(38/77) Simplify (r**7*r**(-3)/r)**15/(((r/(r**(2/9)/r)*r)/r**(-3))/(r**0/r**(-1))) assuming r is positive. r**(362/9) Simplify ((x/((x*x**(-23)/x*x)/x))/x*x/(x/(x/(x/x**(1/5)))))/(x**38/x)**(-2/7) assuming x is positive. x**(1182/35) Simplify ((((a**(4/9))**(-45/7))**1)**(-9/8))**(-2/119) assuming a is positive. a**(-45/833) Simplify (z**18)**(-49)/(z/((z*z*z**(-1/2))/z)*(z**(-6/31)*z*z)/z) assuming z is positive. z**(-54765/62) Simplify (c**(-5)*c/(c**(-1/4)*c*c))/((c/(c/((c**(4/5)/c)/c)))/(c**(-2/13)*c))*((c/c**(-2/17))/(c**1/c))/(c/c**7*c**6/c) assuming c is positive. c**(-7011/4420) Simplify (i**(-4/29))**22/(i*(i*i*i**(-1/3))/i)**30 assuming i is positive. i**(-1538/29) Simplify (b/(b/b**(-11/8)))/b*(b/b**25)/b*b*((b*b/(b*b**(-1)*b))/b*b)**(-2/21) assuming b is positive. b**(-4447/168) Simplify ((a**(-1))**(-2/17))**26*((a**(-1))**(1/3))**(1/7) assuming a is positive. a**(1075/357) Simplify (b**(-1))**(-9)/(b*b/(b/b**(1/3))*b*b**(1/3))*(b/b**3*b**(-2/13))/(b**0*b*b)**(-3/7) assuming b is positive. b**(1375/273) Simplify (s*s**(-1/2))**(-3)/(s*s**(4/3)*s**(-4)/s)*((s/((s**0*s*s)/s))**49)**(-32) assuming s is positive. s**(7/6) Simplify ((y/((y*y*y**(5/2))/y)*y)/y*y/y**(-4))/(y*y**(-3/5)*y*y*y**(2/5))*(y/y**(-6)*y**(4/5)*y)/(y**(-2/13)/(y*y*y*y**3*y*y)) assuming y is positive. y**(433/26) Simplify ((t**(-1/6)*t)/((t*t*t**0*t*t*t)/t))**11/((t**(-1/3)/t)**(6/7))**(-32) assuming t is positive. t**(-2999/42) Simplify (p*p/(p*p/(p/((p**(2/39)*p)/p)*p)*p)*p*p*p/(p*p/(p/p**(-9))*p))/((p/(p**(27/2)/p*p)*p)/p**(-13/5)) assuming p is positive. p**(7741/390) Simplify ((o**(-9)/(o*o*o**5*o))**(-4/11))**(-22) assuming o is positive. o**(-136) Simplify (z/(z**6*z)*z/(z/((z*z**(-32)*z)/z))*z**22/(z*z/(z/(z/z**(-3/2)*z))))**(-1/10) assuming z is positive. z**(39/20) Simplify (k/(k**4/k)*(k*k**(-1/3))/k)/(k**7*k*k**(-1/9))*((k/(k/((k
{ "pile_set_name": "DM Mathematics" }
(a) = 16*a - 3. Let d(s) = -3*g(s) + 2*w(s). Let v(m) = -2*m. What is c*v(h) + 6*d(h)? -2*h Let y(o) = -o. Let k be y(-1). Let b(t) = -t - 2. Let s(m) = -m + 2*m + 2*m - 2*m. What is k*b(g) + 2*s(g)? g - 2 Let j(l) = -2*l**2 + 3*l**2 - 5*l + 0*l**2. Let x(c) = -c. Calculate -2*j(a) + 10*x(a). -2*a**2 Let t(w) = -w**2 - w + 1. Let a(z) be the second derivative of -z**5/10 + z**4/3 + z**3 - z**2 + 3*z. Give -a(m) - 4*t(m). 2*m**3 - 2*m - 2 Let n(c) = 8*c - 6. Let u(z) = 96 - 23*z + 97 - 277 + 101. Give -17*n(b) - 6*u(b). 2*b Let o(s) = -5*s - 15. Let g(r) = r + 3. Let z(d) = 22*g(d) + 4*o(d). Let h(f) be the first derivative of -3*f**2 - 17*f + 1. Calculate -4*h(i) - 11*z(i). 2*i + 2 Let f be (-6)/(-9)*1*6. Let l(a) = 2*a - f*a**3 + 4*a**3 + 0 + 2*a**3 + 3*a**2 - 2. Let w(r) = r**3 + 2*r**2 + r - 1. What is 4*l(k) - 6*w(k)? 2*k**3 + 2*k - 2 Let v be 12/36 - (-8)/3. Let f(d) = 11*d**2 - 5*d + 9. Let y(a) = -5*a**2 + 2*a - 4. What is v*f(n) + 7*y(n)? -2*n**2 - n - 1 Let f(n) = -7*n - 2. Let u(r) = -6*r - 2. Suppose 24 = 6*z - 4*z. Let b be 7 + (z/2)/(-3). Suppose -s + 3 = 9. Determine b*f(p) + s*u(p). p + 2 Let w(p) = 7*p**2 - p - 2. Let c(y) = 4*y**2 - y - 1. Give 5*c(q) - 3*w(q). -q**2 - 2*q + 1 Let m(b) = -29*b - 20. Let k(j) = -10*j - 7. Let v(x) = -17*k(x) + 6*m(x). Let l(a) = 3*a + 1. What is -6*l(u) - 5*v(u)? 2*u - 1 Let h(j) = -9*j - 4. Let g(x) = 14*x + 6. What is -5*g(m) - 8*h(m)? 2*m + 2 Let h(x) = 7*x**3 - 5*x**2 + 5*x - 5. Let b be (3 + -2)*3/3. Let f(g) be the first derivative of -1/3*g**3 + 1/2*g**2 - 3 + 1/4*g**4 - g. Give b*h(i) - 5*f(i). 2*i**3 Let t be (0/1)/(-2*1). Let v(n) = -3 + 0 + t + n. Let q(j) = -j + 5. Let f be q(3). Let k(x) = -2. Calculate f*v(l) - 3*k(l). 2*l Let v(p) = -p**2 + 4*p + 1. Let m(u) = -3*u. Let f(o) = -5*m(o) - 4*v(o). Let g(b) = -7*b**2 + 2*b + 7. Give 5*f(c) + 3*g(c). -c**2 + c + 1 Let h(c) = c**3 - c**2 - c - 1. Let x(u) = -u**3 + 6*u**2 + 7*u + 5. Determine -6*h(s) - x(s). -5*s**3 - s + 1 Let r(d) = -2*d**2 + 10*d + 14. Let z(x) = x + 1. What is -2*r(g) + 20*z(g)? 4*g**2 - 8 Let y(h) = -1. Let b(j) = 2*j + 1. Determine b(x) + 5*y(x). 2*x - 4 Let i(b) = 3*b**3 - 17*b**2 - 6*b - 11. Suppose 15 + 9 = 4*f. Let g(p) = p**3 - 6*p**2 - 2*p - 4. Let m = -9 + -8. What is f*i(n) + m*g(n)? n**3 - 2*n + 2 Suppose d + 37 = 5*g - 0*d, 0 = -2*g + 4*d + 4. Let f = g - -3. Let v(z) = -8*z + 11. Let c(m) = -3*m + 4. What is f*c(b) - 4*v(b)? -b Let j(t) = -2*t - 1. Let h(p) = p - 2 + 837*p**2 - 838*p**2 + 3. Give 3*h(s) + 2*j(s). -3*s**2 - s + 1 Let a(w) = 16*w**3 - 11*w**2 - 9*w. Let r(k) = -3*k**3 + 2*k**2 + 2*k. Determine -4*a(q) - 22*r(q). 2*q**3 - 8*q Let i(l) = -2*l**3 + 2*l**2 - 3*l - 2. Let b(q) = 2*q**3 - 3*q**2 + 4*q + 2. What is 3*b(j) + 4*i(j)? -2*j**3 - j**2 - 2 Let c(q) = 0*q - 3*q - 2*q + 1. Let m(p) = -4*p + 1. Suppose 4*j = 7*j + 5*x + 14, 3*x = 5*j + 12. Determine j*c(w) + 4*m(w). -w + 1 Let g(h) = 15*h**2 + 18. Suppose -2*i = i - 21. Let u(x) = -1 + 9*x**2 - x**2 - 2*x**2 - i*x**2. What is -g(q) - 18*u(q)? 3*q**2 Let x(t) = t**3 + 8*t**2 + 9*t + 4. Let j be x(-6). Let v(c) = -c**2 - c. Let f be v(1). Let s(w) = 2*w. Let d(r) = 23*r + 1. Give f*d(b) + j*s(b). -2*b - 2 Let n(c) = c. Let p(s) = 3*s. Give -12*n(i) + 5*p(i). 3*i Let f(j) be the second derivative of 9*j**5/20 - 17*j**3/6 - 17*j**2/2 + 4*j. Let k(x) = -3*x**3 + 6*x + 6. What is -6*f(p) - 17*k(p)? -3*p**3 Let k(b) = -b - 1. Let c(l) = -l**2 - 3*l - 3. Let a be c(-2). Let i(j) = -3*j - 6. Calculate a*i(g) + 4*k(g). -g + 2 Let c(b) = b**2 + 6*b. Let g(u) = -5*u + 3. Let r be g(4). Let s(h) be the second derivative of h**4/4 + 17*h**3/6 + 11*h. Determine r*c(k) + 6*s(k). k**2 Let o(s) = -41*s + 2. Let g(d) = -d. Give 3*g(y) - o(y). 38*y - 2 Let k(j) = 2*j - 1. Suppose -6*f - 3*f = -27. Let m(t) = 3*t - 2. What is f*m(o) - 4*k(o)? o - 2 Let r(c) = 4*c - 1. Let s = 8 + -11. Let w = -6 - s. Let o(k) = -k. Give w*o(u) - r(u). -u + 1 Let f be (-2)/8 + (-18)/(-8). Let q(h) = -8*h**3 + 35 + 2*h - 28 - 2*h. Let k(a) = -a**3 + 1. Determine f*q(t) - 14*k(t). -2*t**3 Let u(j) = 8*j**3 - 5*j + 5*j**3 - 4*j. Let x be 4*(2/8 + 30/(-24)). Let t(v) = 3*v**3 - 2*v. Give x*u(r) + 18*t(r). 2*r**3 Let w(z) = -z - 1. Let u(p) = 9*p - 82. Let o be u(10). Let g(n) = 2*n + 2. Give o*w(t) + 3*g(t). -2*t - 2 Let z(m) = -4*m**2 + 5*m + 3. Let y be (-51)/(-5) + (-3)/15. Let j be (-24)/(-20) - 2/y. Suppose -15 = -2*s - s. Let a(n) = n**2 - n - 1. Give j*z(i) + s*a(i). i**2 - 2 Let b(w) = -w. Let q(m) = m + 5. Let s(p) = 6*b(p) + q(p). Suppose v - 4 = -5*h + 7, 9 = 3*h. Let a(c) = 3*c + 4*c - 2 - 5*c. What is v*s(o) - 9*a(o)? 2*o - 2 Let w(n) = n**3 + 9*n**2 + n + 9. Let t be w(-9). Let k(q) be the second derivative of -1/6*q**4 + q**2 + t + q**3 - q. Let s(b) = b. Give -k(j) + 4*s(j). 2*j**2 - 2*j - 2 Let g(c) = -4*c - 21. Let f(o) = 3*o + 22. Calculate 5*f(r) + 4*g(r). -r + 26 Let x(w) = 3*w - 2. Suppose 19*t - 14*t - 20 = 0. Suppose 0 = -c + t*c - 9. Let g(q) = -2*q + 1. Determine c*x(o) + 5*g(o). -o - 1 Let a = 15 - 1. Let z(b) = -8*b**2 + 7. Let u(q) = -q**2 + 1. Calculate a*u(f) - 2*z(f). 2*f**2 Let o = -16 - -27. Let s(w) = -2*w - 3. Let n(h) = -h**3 + 4*h**2 - 2*h - 2. Let g be n(2). Let m(y) = y**2 + 11*y + 16. Calculate g*m(t) + o*s(t). 2*t**2 - 1 Let m be ((-3)/(-30))/(6/10). Let i(d) be the second derivative of 0 - 1/2*d**2 - 3*d - m*d**3. Let b(o) = -6*o - 5. Give -b(a) + 4*i(a). 2*a + 1 Let s = 9 - 13. Let b = 6 + s. Let n(o) = -o - 10*o - 2*o**b + 2*o. Let x(i) = i**2 + 4*i. Calculate -4*n(k) - 9*x(k). -k**2 Let q(f) = 3*f**3 - f**2 - 4*f + 2. Let l(t) = 4*t**3 - t**2 - 5*t + 3. What is 4*l(y) - 5*q(y)? y**3 + y**2 + 2 Let z(w) = w**2 - w + 1. Let x(q) = 3*q**3 + 5*q**2 - 4*q + 5. What is -x(a) + 4*z(a)? -3*a**3 - a**2 - 1 Let x(i) = i**2 - i + 1. Let r(c) = 12*c**2 - 5*c + 7. What is r(w) - 5*x(w)? 7*w**2 + 2 Let s(r) = -7*r**3 - 6*r**2 + 6*r + 6. Let g(d) = -d**3 - d**2 + d + 1. Determine -6*g(h) + s(h). -h**3 Let w(s) = -20*s**3 - 2. Let k(y) = -y**3. What is 5*k(i) - w(i)? 15*i**3 + 2 Let o(v) = -v**2 - v + 1. Let q(c) = -4*c**2 + 13 + c - 4*c - 10. Suppose 2*s - 8 = -2*s. Give s*q(m) - 6*o(m). -2*m**2 Let y(z) = -88*z. Let i(m) = -11*m. Give -33*i(t) + 4*y(t). 11*t Let k = 4 - 4. Let d(n) = k - 2*n + 4 + n - 2*n**2. Let u(l) be the first derivative of -l**3/3 - l**2/2 + 2*l - 2. Calculate 3*d(b) - 5*u(b). -b**2 + 2*b + 2 Let a = 1 + 2. Let u(m) = -3*m + a + 2*m - 2. Suppose -4*g + 4 = 2*z, 3*g = 2*g - 5*z + 1. Let c(j) = 3*j - 6. What is g*c(w) + 4*u(w)? -w - 2 Let w(a) = a**2 - a. Let c be (-1)/(2*3/36). Let g be (-16)/(-12) + 2/c. Let v(r) = 2*r. Give g*v(p) + 2*w(p). 2*p**2 Let x(a) = 9*a**3 + 7*a**2 + 8*a. Let y(q) = -8*q**3 - 6*q**2 - 7*q. Determine -6*x(p) - 7*y(p). 2*p**3 + p Let u(l) = 5*l**2 + 6*l - 2. Let r(h) be the first derivative of h**3/3 + h**2/2 - 5. Determine 4*r(x) - u(x). -x**2 - 2*x + 2 Let q(d) = 5*d**3 + 3*d**2 + 3*d - 1. Let x be 1*(4 + 1 + -2). Let r(u) = -14*u**3 - 8*u**2 - 8*u + 2. Calculate x*r(l) + 8*q(l). -2*l**3 - 2 Let v(a) = -3*a**2 + 5*a + 5. Let s(k) = -k**3 - 6*k**2 + 5. Let o be s(-6). Let n(x) = -2*x**2 + 3*x + 3. Determine o*n(b) - 3*v(b). -b**2 Let n(b) be the first derivative of b**3/3 + b**2 + 5. Suppose -3*j = -0 - 6. Let u(s) = j*s + s - 2*s. Determine -2*n(y) + 5*u(y). -2*y**2 + y Let u(j) = 3*j + 4. Let o(a) be the first derivative of -8*a**2 - 21*a + 4. Suppose 0 = p - 3 + 5. Calculate p*o(y) - 11*u(y). -y - 2 Let j(z) = -5*z**2 + 4*z. Let u(w) = -w**2 + w. Suppose -3*a - 2 = 7. Let s = 4 + a. Determine s*j(d) - 4*u(d). -d**2 Let b(p) = 4*p**2 - p - 4. Let t(q) = -2*q**2 - q + 7. Let z(o) = o**2 - o + 1. Let n(g) = t(g) - 2*z(g). What is 6*b(x) + 5*n(x)? 4*x**2 - x + 1 Let w(k) = 9*k - 3 + 4 - 6 - 3. Let l(u) = 6*u - 5. What is 8*l(m) - 5*w(m)? 3*m Suppose 4*g = -3*u - 27, 4*u - 8*u - 35 = 5*g. Let v(y) = -3*y + 5. Let b(p) = 2*p - 3. Calculate g*v(l) - 5*b(l). -l Suppose 2*r - 7*r - 25 = -3*g, 5*g + 17 = r. Let n(o) = 1 - 2*o + 5*o - 2*o**2 + 2*o. Let a(f) = -5*f**2 + 14*f + 2. Give r*n(h) + 3*a(h). h**2 + 2*h - 2 Let o(k) = k - 12. Let r(f) = -2*f + 24. Give 9*o(i) + 4*r(i). i - 12 Let b(j) = -4*j**2 - j + 1. Let o(d) = -3 + 0*d - d + 0 + 4 - 7*d**2. What is 5*b(g) - 3*o(g)? g**2 - 2*g + 2 Let m(d) =
{ "pile_set_name": "DM Mathematics" }
)**2*2. 512 Simplify ((sqrt(55) - (sqrt(220)/sqrt(4) - sqrt(55)))*6)/(sqrt(99)/(sqrt(9) + sqrt(324))) + 5 + ((-4*sqrt(15)/sqrt(3) - (sqrt(245)*-1 + sqrt(5)))*-2)**2. 85 + 42*sqrt(5) Simplify ((1*sqrt(80)*2)/((1*sqrt(88))/sqrt(11)))/((sqrt(5500)*2)/(6*sqrt(11)*-2)). -6*sqrt(2)/5 Simplify -3*-5*(1 + sqrt(275))**2 - (6*sqrt(1331)*3 + -2). -48*sqrt(11) + 4142 Simplify -3*sqrt(2)*-1*-1 + 5 + -1 + (sqrt(200) + sqrt(200) + -2 + 4)**2. 77*sqrt(2) + 808 Simplify ((sqrt(275) - (sqrt(275) - (sqrt(275)*1 + -4 - sqrt(275)))) + 3*(sqrt(275) + 1))**2 + (sqrt(11) + 3)*5 + -3*sqrt(11)*-1. -22*sqrt(11) + 2491 Simplify ((((sqrt(120) - sqrt(120)*1)/sqrt(10) + sqrt(36)/sqrt(12))*-5)/(sqrt(864) + 2*sqrt(864) - 3*sqrt(24)/sqrt(4)) + -5)**2. 25*sqrt(2)/33 + 54475/2178 Simplify (-4*(-3 + (3 + 1*(sqrt(68) + 4))*-2 + -2) + 1)**2. 2464*sqrt(17) + 10281 Simplify 1 + ((sqrt(1872) + -1 + -5 - (5 + -4 + sqrt(1872)))*4 + 4)**2 + -2. 575 Simplify -1*sqrt(192) + 5 - 2*(sqrt(192) - sqrt(192)*1)**2 - (sqrt(528)/(sqrt(132)/sqrt(192) + sqrt(11) + sqrt(11)))**2. -8*sqrt(3) - 121/27 Simplify (-2 + ((sqrt(1539)*2 - sqrt(1539)) + sqrt(1539))**2 + 2 - ((sqrt(2299) - (3 + 2*sqrt(2299))) + -3)**2) + -5. -132*sqrt(19) + 3816 Simplify ((sqrt(70)/(sqrt(7)*3))/(sqrt(50) - sqrt(50)*2))**2 - ((sqrt(80) + 2)**2 - (sqrt(5) + (sqrt(35)*2)/sqrt(7)))*-6. 78*sqrt(5) + 22681/45 Simplify 4*((1*(1*(sqrt(833) + -1) - sqrt(833)))**2 + ((sqrt(833) + -2)*3*-6)**2). -36288*sqrt(17) + 1084756 Simplify ((-4*(sqrt(88) + 4*sqrt(88) - sqrt(88))*2)/(sqrt(96)/(sqrt(1200) + (sqrt(1200) - (sqrt(1200) - 6*sqrt(1200))))))**2. 55193600 Simplify (1*2*((-5 + -5 + (sqrt(162)*1 - sqrt(162)))*5 + -5)*2)**2. 48400 Simplify (0 + (0 + 1*sqrt(68))**2)*5 - ((sqrt(272) - (sqrt(272) + 2)*-4) + (sqrt(272) - (sqrt(272)*3 + sqrt(272) + 5))**2). -2141 - 140*sqrt(17) Simplify (sqrt(36)/sqrt(3) + 3)**2 + 5 + -4 + (-6*(-1*1*sqrt(243) - sqrt(243) - (sqrt(243)*2 + 4 - sqrt(243) - sqrt(243))))**2. 5196*sqrt(3) + 35590 Simplify ((sqrt(44)/sqrt(18))/(sqrt(96)/sqrt(3)) + (sqrt(11) + 3)*6 + (sqrt(11) - (-3 + 3*sqrt(11))**2))*6. -540 + 301*sqrt(11)/2 Simplify ((sqrt(392)/(sqrt(8)*3) - -1*sqrt(1764))/(((sqrt(56) - ((sqrt(2016) - (sqrt(2016)*1 + sqrt(2016))) + sqrt(2016))) + sqrt(56))/(sqrt(392)*2)))**2. 123823/9 Simplify -5 + (sqrt(190)/sqrt(490))**2 + 0 - (sqrt(19) - (sqrt(57)/sqrt(3) + -4) - sqrt(19) - sqrt(19)*-4*-3). -422/49 + 13*sqrt(19) Simplify -2 + 0 + (sqrt(17) + (sqrt(17) - -1*sqrt(17)*-1) + -1 - (6*(-1 + sqrt(17) + sqrt(17) + sqrt(17)) + sqrt(17) + -6*sqrt(34)/sqrt(2) + sqrt(17)))**2. -130*sqrt(17) + 2896 Simplify (sqrt(153) - 3*(sqrt(153)*-1 - sqrt(153)))/sqrt(9)*3 + (-2*(-4*sqrt(68) + sqrt(68)))**2*-1. -2448 + 21*sqrt(17) Simplify 0 + (((sqrt(85)*2*2)/(sqrt(5) + -6*sqrt(5)*-2))**2 - (2 + (sqrt(102)/((-2*sqrt(66))/sqrt(11)))**2)). -3137/676 Simplify (2*sqrt(700)*5 - (sqrt(700) - (-1 + sqrt(700) + -5)))**2*4 - (4*(sqrt(700) + -1) + 5*3*sqrt(700)). -4990*sqrt(7) + 280148 Simplify (-2*((sqrt(17) + sqrt(153) + 1 - ((1*sqrt(612) - sqrt(612) - sqrt(17)) + sqrt(17) + sqrt(17))) + (sqrt(17) - 2*(sqrt(17) + 0)) + 5))**2*3. 288*sqrt(17) + 1248 Simplify (-2*(-4 + 1*(3 + sqrt(112) + 2 + (sqrt(112) - ((sqrt(112) - (-2 + sqrt(112))) + -2)) + sqrt(112))) + 3)**2. -48*sqrt(7) + 4033 Simplify 4 + (6*-1*sqrt(12))**2 + (((sqrt(15) - sqrt(165)/(sqrt(11) + sqrt(11)*-2)) + sqrt(15))/((1*sqrt(15) + sqrt(15) + sqrt(15))/sqrt(3)))**2. 439 Simplify (sqrt(1900)*2*-4*-1)**2 + -4 + sqrt(475) + -2*(sqrt(19)*-4 + sqrt(19)). 11*sqrt(19) + 121596 Simplify -5 + ((1*sqrt(50) + -4)**2 + -4*(sqrt(800))**2 - ((6*(-1*sqrt(550) - sqrt(550)) - sqrt(550))/((sqrt(55)*2)/sqrt(5)))**2). -10503/2 - 40*sqrt(2) Simplify (2*sqrt(539)*1 - (-4*(2 + sqrt(539)) + sqrt(539)) - ((4 + -1*sqrt(539))*-1*-6)**2) + -1. -19973 + 2051*sqrt(11) Simplify ((6*(sqrt(78) + (sqrt(78) - sqrt(78)*-1) + sqrt(78)) + sqrt(78)*1*-3)*5)/(-6*(sqrt(54)/sqrt(3))/sqrt(3)*5). -7*sqrt(13)/2 Simplify 3*(3 + 4 + 3*sqrt(704)) + (sqrt(704) - (0 + (sqrt(704)*1 - sqrt(704)))) + 3*sqrt(704)*4. 21 + 176*sqrt(11) Simplify 1*(-6*sqrt(18)/(sqrt(9) + sqrt(900)) + (sqrt(240)/sqrt(40))/sqrt(12)). -sqrt(2)/22 Simplify -3*(0 + sqrt(1539))*-5 + ((sqrt(228) + (sqrt(228) - -1*sqrt(228))*4)/sqrt(12)*-3)**2 + -3. 135*sqrt(19) + 13848 Simplify (-1 + ((sqrt(1100)*2 - sqrt(1100))*-5)**2 + -4 + (2 + (sqrt(1100) + -2 - sqrt(1100)) + -5*sqrt(1100)*-2)**2)*-1. -137495 Simplify (-2 + (2*sqrt(84)*-6)/((sqrt(72) - sqrt(72)*-1)/sqrt(6)) + (sqrt(21)*1*5)/((sqrt(3) - sqrt(12))*-2))**2*4. 56*sqrt(7) + 359 Simplify -4 + (((sqrt(66)*-1 + sqrt(66))*4)/(sqrt(726)*-2) - (-3 + (sqrt(539) - (2*sqrt(539))**2)*2)) + -4. -14*sqrt(11) + 4307 Simplify (sqrt(39)/sqrt(3)*3*-3)**2 + ((sqrt(208) + sqrt(208) + 1)*-4)**2 + sqrt(208) - ((sqrt(39)/sqrt(3)*-6*-6)**2 + (sqrt(65)/sqrt(45))**2 + -1). -22207/9 + 260*sqrt(13) Simplify (sqrt(272) - (4 + sqrt(272)))**2 - (-2 + 5 + sqrt(17) + sqrt(17)) - (5 + sqrt(833) - (sqrt(17) + (sqrt(153) + 3)**2)). 10*sqrt(17) + 170 Simplify ((sqrt(475) - (1*sqrt(475) + -5))*2*-2 - (-5 + -4 + (sqrt(475)*3 - sqrt(475)) + -2))**2. 180*sqrt(19) + 1981 Simplify (-3 + (sqrt(5)*3 - sqrt(5))**2 + (sqrt(180))**2*-4 + (3*-1*sqrt(55))/sqrt(11)*5)*-2. 30*sqrt(5) + 1406 Simplify ((sqrt(84)/sqrt(4)*2)/(sqrt(12)/(sqrt(16)/sqrt(4))) + -3 + 1*(sqrt(567) + 2*sqrt(567) + -5)*3)**2. -2988*sqrt(7) + 48547 Simplify 5 + -1*((-2*(2 + sqrt(242) + sqrt(242)) + -3)*4 + 5)**2. -62476 - 8096*sqrt(2) Simplify (-2 + -2*sqrt(98)*-6*1 + sqrt(98) + -5 + sqrt(98) + 0 + sqrt(98) + sqrt(98) + -4 + -5)**2. -3584*sqrt(2) + 25344 Simplify 5 + -5 + sqrt(208) + -3*(sqrt(13) - sqrt(39)/sqrt(3)) + 0 + -2*(-3*sqrt(130)*1 - sqrt(130))/sqrt(10)*3. 28*sqrt(13) Simplify -5*(((sqrt(98) - sqrt(98)*-1)/sqrt(7))/sqrt(2) + (sqrt(448) - sqrt(448)*2*-4)**2)*-6. 60*sqrt(7) + 1088640 Simplify (5 + sqrt(320) + 1 - ((sqrt(320) + sqrt(320) + 0)**2 + 4)) + 5*(4*sqrt(10)/sqrt(2) - (sqrt(45) - sqrt(180))/sqrt(9)) + 0. -1278 + 33*sqrt(5) Simplify 0 + -2*(-4*(1 + sqrt(19) - sqrt(19))**2 + (sqrt(1900) - (sqrt(1900) - 2*sqrt(1900))**2) + ((-2*sqrt(38))/sqrt(2))**2*2) + 5. -20*sqrt(19) + 3509 Simplify -4 + 5 + (-3 + ((sqrt(1872) + 0 + sqrt(1872))*6 - (3 + sqrt(1872) + -3 - sqrt(1872))) + -2)**2. -1440*sqrt(13) + 269594 Simplify 5 + (2*sqrt(539) + 4)**2 + 4*((sqrt(1100) - (2 + sqrt(1100))) + 4). 112*sqrt(11) + 2185 Simplify (-3 + sqrt(468) + -3*sqrt(468) + sqrt(468) + 5 + 5 + (sqrt(468) - (0 + sqrt(468))) + -4)**2 + 1. -36*sqrt(13) + 478 Simplify (4 + (sqrt(99) + sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*1)*-4) + sqrt(99))/(sqrt(9) - 3*sqrt(324) - sqrt(9) - sqrt(9)) + 4)**2. -192*sqrt(11)/19 + 24688/361 Simplify (0 + -1*sqrt(252) + -5 + sqrt(252) + sqrt(252) + 3 + 0 + sqrt(252) + 4 + 2)**2 + -5 + 3. 96*sqrt(7) + 1022 Simplify ((sqrt(1900) + 1)*-5*-5*6)**2*3*6 + -1. 8100000*sqrt(19) + 769904999 Simplify (6*-2*(sqrt(64)/sqrt(4) - sqrt(16))*-1)/((sqrt(72) + sqrt(8))*6 + sqrt(8)*3*2). 0 Simplify (sqrt(1053)*2 + 1 + -1)**2 - (sqrt(156)/sqrt(3)*-4)/(1*sqrt(576)). sqrt(13)/3 + 4212 Simplify (5*(0 + (-5*-1*sqrt(192) + sqrt(192))/(sqrt(120)/sqrt(5))))**2. 7200 Simplify ((-1*sqrt(150)*-5)/(sqrt(90)/(sqrt(36)/sqrt(4))))/((sqrt(5) + sqrt(20)*1 + -1*sqrt(5)*-3)*-2). -5*sqrt(3)/12 Simplify -2*(((sqrt(448) - (sqrt(448) - (-2*sqrt(448) + -3)) - sqrt(448) - (sqrt(448) - -1*-1*sqrt(448))) + (sqrt(448) + sqrt(448) + 1 + 2)*-3)*1)**2. -72864 - 3456*sqrt(7) Simplify (2*-2*sqrt(108) + -2 + 3)**2 - (((sqrt(108) - (sqrt(108) + -1)*3) + sqrt(108))**2 - (4*(1 + sqrt(108)))**2). 180*sqrt(3) + 3356 Simplify 6*-3*6*((sqrt(80) + 5*(sqrt(80) - (3 + sqrt(80))))**2 + sqrt(80))*6. -197640 + 75168*sqrt(5) Simplify (-2*(sqrt(425) + 1) + -2 + (sqrt(425)*-1 + -2 - (sqrt(425) - (4 + sqrt(425) + -1 - sqrt(425)))) + 5)**2. -80*sqrt(17) + 6804 Simplify 5*((sqrt(19)*-2)**2*-6 + -4) + 4*(sqrt(19) + 3*sqrt(19) + 0) + 5. -2295 + 16*sqrt(19) Simplify (-4 + -3*(1 + sqrt(720)) - (-4*sqrt(405)*2 + -1))*5. -30 + 180*sqrt(5) Simplify (5*(-1 + sqrt(144)/(-2*sqrt(8) - sqrt(8))) + -5 + (sqrt(3456) - (sqrt(3456) + sqrt(3456)*1 + sqrt(3456)))/sqrt(3))*-5. 50 + 265*sqrt(2) Simplify (-3 + (sqrt(13) - (-1 + sqrt(13) + 3 - sqrt(13)) - (2 + sqrt(13) + 4)))**2 - ((5*sqrt(156)*-1 - sqrt(156))/(sqrt(48) + sqrt(144)/sqrt(3)))**2. 367/4 Simplify (4*(-5 + -3*(-2*sqr
{ "pile_set_name": "DM Mathematics" }
). 4/23 What is 15/(-186)*(-180)/75*2/12? 1/31 Calculate (20/(-48))/(135/(-1728)*136). 2/51 6249/(-8332)*(-212)/(-3) -53 What is the value of 129/(-2193)*(-51)/1? 3 Evaluate (-61765)/(-5615)*1/(-4). -11/4 Evaluate 1*(-3)/(-9)*(-7398)/(-59184). 1/24 Evaluate (2196/14274)/((-35)/91). -2/5 Evaluate ((-826)/(-1239))/((-1)/(-2))*2*33/(-8). -11 What is the value of 6/(-6*(-15)/(-6))*(-4095)/(-42)? -39 What is the value of 1/(-2)*6580/8225? -2/5 What is the value of (21/28)/(((39/(-10))/13)/(1422/395))? -9 Calculate (-6)/100*(-138835)/(-166602). -1/20 Evaluate (2/12)/(((-11809)/1470)/241). -5 What is ((-20956)/15717)/((-4)/(-39))? -13 216288/(-33044)*5/(-4)*(-3)/(-15) 18/11 Evaluate (16/(320/(-90)))/((-9)/24)*10/(-3). -40 What is the value of (-117925)/75525*(-171)/3? 89 What is the value of (10/(-25))/(8*(-12)/96*2)? 1/5 What is the value of ((-1536)/16384)/(6/20*25/5)? -1/16 What is the value of (845/(-715))/(11*(-20)/1210)? 13/2 What is (50/48)/(-1)*(264/33)/(6/3)? -25/6 What is the value of (55/(-105))/((23012/312)/(-523))? 26/7 Calculate 1*84/(4956/3481). 59 What is the value of 1/(-4)*(139392/440)/(-132)? 3/5 What is the value of (-11)/(-55)*((-21)/35)/((-24)/40)? 1/5 Calculate ((-37)/444*117)/6. -13/8 What is the value of ((-265)/212)/(((-8645)/(-14))/(-19))? 1/26 What is ((-30)/(-45))/((-118)/6018)? -34 What is -3*5/7*129/(38700/24)? -6/35 ((752/(-6))/2)/(69/(-207)*4) 47 (((-19)/4)/((-8246)/(-2604)))/(3/(-178)) 89 What is (-22)/5*125/20*292/146? -55 20/(-12)*495/(-55) 15 Evaluate -82*(2/(-1))/((-128)/((-352)/11)). 41 (1/((-4)/(-9)))/((-17)/(272/(-3))) 12 (((-4)/9)/((16/3)/(-8)))/(25/(-120)) -16/5 What is the value of (100772/46787)/(20/(-195))? -21 Calculate ((-35)/(-42)*9396/6525)/(226/20*-6). -2/113 Calculate 14*((-96)/(-12))/(28/1). 4 Evaluate (0/4)/(14/14)*15/(-105). 0 Evaluate ((-58)/(-696))/((-11)/(-484)). 11/3 What is 20*(6/525*5)/(22/(1540/(-25)))? -16/5 What is 80/3000*25*13*(-7)/(-14)? 13/3 Evaluate 5/((25*(-29)/(-725))/7). 35 1/2*1*(-2150)/100*4 -43 Calculate ((-19749)/681)/(116/(-388)). 97 111/3108*1764/(-14) -9/2 What is (48*319/(-61248))/((2/(-8))/((-6)/303))? -2/101 ((-1)/2)/((-441)/(-41454)) -47 (328/12)/(74/222) 82 Calculate (-456)/(-1026)*3/((968/4)/11). 2/33 Calculate (2*1)/(-97*(-26)/29003). 23 Evaluate (2/(-9))/((-34)/9180*15). 4 What is the value of 1/3*(-58)/(-1914)*11? 1/9 Calculate (((-3)/21)/(702/(-182)))/(2*(-7)/28). -2/27 (45/(-30))/((-6)/2)*22/11 1 What is (-188)/(-1)*25414/(-50828)? -94 Evaluate ((-6)/(-45)*-132)/((1296/45)/(-36)). 22 What is the value of (-323)/76*(484/(-33))/(-11)? -17/3 What is the value of (-6*((-6)/26)/((-873)/2522))/(4/(-92))? 92 Calculate ((-324)/(-1512))/(3/10)*(-168)/(-4). 30 Evaluate (-2)/14*(-4)/(1280/(-112))*-2. 1/10 313950/(-18837)*(-9)/10 15 What is the value of (-66)/((46/(-4))/((-6463)/1686))? -22 What is the value of 9/8*1*48/(-6)*8/(-2)? 36 Calculate (187/(39270/1512))/(4/(-10)). -18 What is the value of 130/(-3575)*4/((-84)/77)? 2/15 Evaluate ((1/(-2))/(2/2))/(-12*(-28)/2016). -3 What is 156/34*((-238)/(-36))/((-12600)/(-21600))? 52 What is (1512/(-84))/((224/14)/48)? -54 What is ((-4)/7)/(390/(-3276)*-4)? -6/5 Evaluate 2*-7*16/(-896)*-1. -1/4 3/2*(668/(-24))/(-167) 1/4 Evaluate -16*104/858*77*6/16. -56 What is the value of ((-1888)/(-4012)*(-68)/56)/((-13)/(455/90))? 2/9 Evaluate ((-65)/(1625/310))/(2/5). -31 What is the value of ((1386/(-297))/((-21)/(-54)))/(-7)? 12/7 What is (1/2)/(1374/(-123660))? -45 Evaluate 1797/(-66489)*(-74)/183. 2/183 What is (-1134)/(-2646)*(-35)/90? -1/6 What is (48/(-4416))/(61/1464)? -6/23 What is 11/990*30*11928/(-56)? -71 Calculate ((840/(-54))/2)/(((-1508)/234)/29). 35 Calculate 6*15/(-10)*561/153. -33 What is the value of (-2920)/(-1825)*(-165)/7392? -1/28 Evaluate (36/(-144))/((9/(90/(-172)))/((-32)/10)). -2/43 ((-214)/8)/(((-13)/8)/((-67600)/(-10400))) 107 Evaluate ((-35)/3052)/((-3)/(912/190)). 2/109 What is 189/(-45)*-17*(-34)/(-6069)? 2/5 (-9*(-546)/(-567))/(-3*2/18) 26 -9*(-2)/3*(-23760)/(-3564) 40 Calculate 12/78*(-546)/1848*10/15*3. -1/11 Evaluate (((-3366)/(-63))/(-17))/((512/(-112))/(-16)). -11 What is ((4/9)/((-6420)/5778))/(1*(-2)/65)? 13 Calculate (6/(-26))/(4579/3133). -3/19 Calculate (16188/(-71))/(-57)*9/(-2628). -1/73 What is ((-6596)/8245)/((-8)/(-96)*-3*8/10)? 4 ((231/(-10))/11*(-344)/602)/((-4)/90) -27 What is (-1482)/(-702)*-3*6/4*2? -19 What is (((-234)/(-5265))/((-2)/9))/((-3)/(-95))? -19/3 What is 403/1209*-3*1*1*1037/(-17)? 61 Calculate ((-49)/((-1323)/(-18)))/((-5)/(2100/(-8))). -35 What is (-15)/45*69*8*(-1)/8? 23 ((-37)/(-925))/(54/36) 2/75 (((-15372560)/(-283))/(-280))/((-4)/(-2)) -97 (165/36)/(165/132) 11/3 ((-8)/(-8))/(198/48*(-180)/(-2970)) 4 What is the value of (-28210)/50375*(-10)/98? 2/35 What is ((-2784)/(-64))/29*(-14)/(-21)? 1 Evaluate 2*1/9*-3*(-5)/(-570)*-9. 1/19 (((-100)/72)/(-5))/((-113)/((-7119)/14)) 5/4 What is (4/(-20))/(90/(-36))? 2/25 Evaluate (5/((-45)/168))/(((-19971)/11412)/((-14)/(-48))). 28/9 Calculate 338/32*22720/73840. 13/4 What is the value of 4690/(-1407)*12/2? -20 Evaluate (12/1872*39)/((-9)/(-1332)). 37 Calculate (((-51894)/540)/31)/(5/(-100)). 62 121/(-4235)*(-60)/4*(-2)/((-4)/266) 57 What is ((-2476)/6190)/((-4)/860)? 86 Calculate 1*5*(-60)/720*84. -35 What is the value of 24/(-8)*2/27*68/2992*66? -1/3 What is the value of ((-5313)/(-6279))/((-3)/(-117))? 33 Calculate (-2*20/(-16))/(-12*35/(-6552)). 39 What is the value of 13/(13/(-10))*13*1254/(-3705)? 44 What is 4/(-6)*(-3522)/(-83354)? -2/71 What is the value of (36/(-600)*35)/(57/380)? -14 Evaluate (-8*(-36)/384)/((-13179)/(-184)). 2/191 Calculate (-27)/(-162)*6/(-26)*-3*22/99. 1/39 21/7*(-8742)/(-846) 31 Calculate ((-5)/((37500/40)/(-25)))/(-9). -2/135 What is 21/9*-8*249/(-166)? 28 What is (-42)/(-112)*(-2272)/(-7100)? 3/25 Calculate (52/(-7))/(3824/20076). -39 Calculate 13/13*(-2)/1*57/646*17. -3 What is (-14)/(-21)*(70/(-100))/(70/(-120))? 4/5 What is (329/329)/((3/12*-4)/1)? -1 What is (2/5*(-15)/10)/(-48*(-11)/165)? -3/16 Evaluate ((-9282)/2499)/(2/14). -26 What is 12890/(-5156)*(1*(-22)/3)/(15/(-45))? -55 What is (-1)/((-7)/2)*2541/3432*-8? -22/13 Calculate (4*(-175)/21)/((-340)/68). 20/3 (4/(-100))/(15/270*-6) 3/25 What is the value of ((-3)/(-120))/(2133/159975)? 15/8 What is the value of (16/(-352))/(19383/(-12012))? 2/71 What is the value of 1/36*18*(-174)/145? -3/5 Evaluate ((-21)/12)/(3/(1680/(-67130))). 2/137 What is the value of -308*23*12/(-3036)? 28 ((-144)/3060*-17)/((-147)/(-15)*-2) -2/49 Evaluate ((165/66)/(2/4))/((836/(-550))/(-38)). 125 What is (1/2)/(1669/(-342145)*(-5)/(-2))? -41 Calculate 6*28*470/(-134232). -10/17 What is 91/(7462/(-123))*-4*(-2)/192? -1/16 Evaluate (-20*1/(-684))/((-43)/(-516)*10). 2/57 63*(-146)/44457*5/540*-3 1/174 (5460/338)/(-2)*(-624)/144 35 What is the value of (282866/(-390160))/((-2)/(-16))? -29/5 What is the value of (22*(-34)/(-2244))/(2/((-1104)/(-2)))? 92 What is the value of ((33/924)/(128/112))/2? 1/64 What is (-17*-72*(-18)/1377)/((-4)/(-18))? -72 Calculate (-1155048)/(-20672)*8/(-3). -149 (-3)/(-9)*-2*62205/638*8/(-20) 26 (-1920)/(-40)*80/(-240)*15/8 -30 ((-10)/12)/(1320/(-3696)*196/8) 2/21 What is ((-20)/(-1))/(4140/17181)? 83 Calculate ((-8)/(-14))/((-122080)/160230)*20/3. -5 Calculate (1*-1)/(((-12)/180)/(29/(2523/725))). 125 What is (805*(-188)/(-21620))/(2/(-26))? -91 Calculate ((-20295)/(-75645))/(1/41). 11 What is -5*8/(-720)*396/(-495)? -2/45 What is ((-630)/(-225))/((36/(-15))/(-3)*58/(-116))? -7 What is the value of (14/(-5))/((-42)/(-70)*-4)*66/(-3850)? -1/50 Calculate ((-9)/(-20)*1237/11133)/1. 1/20 What is the value of (61/(-244))/(18/(-3))? 1/24 Evaluate (-404*(-25)/(-1100))/(43/(-473)). 101 What is the value of (15/200*8)/(1694/(-770))? -3/11 Evaluate (18/4*(-152)/114)/(1131/(-145)). 10/13 988/13908*(-120)/(-260) 2/61 What is the value of ((-1)/(-12))/((-2587)/(-403572))? 13 Evaluate (((-104)/65)/(96/(-80))*-1)/(2/9). -6 ((1875/40)/(-15))/((-20)/16)*(-888)/(-60) 37 What is (((-184)/(-69))/4)/(10/12*560/150)? 3/14 Calculate (((-30)/5)/84)/(-3*100/350). 1/12 What is (99/6*8/14)/(60*18/(-10080))? -88 What is the value of (336/1232)/(-5*2/(-440))? 12 Evaluate ((-218)/((-45126)/621))/((-1)/(2/(-2))). 3 Evaluate (2904/(-2178))/(92/(-9)). 3/23 Calculate ((
{ "pile_set_name": "DM Mathematics" }
me factors of f. 3, 11 Suppose -3*v - 18 = 2*v + 3*s, 4*s = -4*v - 16. List the prime factors of v/(-6) - (-1551)/6. 7, 37 Let x(w) = 51*w**2 + 6*w - 10. List the prime factors of x(-6). 2, 5, 179 Let v = 2197 - 673. What are the prime factors of v? 2, 3, 127 Let r = 8 + 113. Let q = r - 82. What are the prime factors of q? 3, 13 Let w(o) = -1 - 5*o + 3*o + 0*o. What are the prime factors of w(-3)? 5 Suppose 0 = -6*m + 4883 + 9289. List the prime factors of m. 2, 1181 Let a(v) = -590*v - 18. List the prime factors of a(-1). 2, 11, 13 Let c(o) = 2*o**2 - 6*o. Let s be c(4). Let t be (264/8)/(6/s). Let j = -16 + t. List the prime factors of j. 2, 7 Suppose -21*n + 13219 + 6395 = 0. What are the prime factors of n? 2, 467 Let a(r) = -r**3 + 7*r**2 + 12*r + 2. What are the prime factors of a(-4)? 2, 5, 13 Let t = -71 - -76. Suppose t*k - 5*f = 120, -4*k + 9*k - f = 100. List the prime factors of k. 19 Let i = 104 + -64. Let s = i - 23. What are the prime factors of s? 17 Let y be (12/10)/(14/735). Suppose 4*o - y + 19 = 0. Suppose 87 = -o*r + 14*r. List the prime factors of r. 29 Suppose 0 = 2*f + f + 3*f. Suppose f = 2*d - 6*d + 480. What are the prime factors of d? 2, 3, 5 Let a(r) = 118*r + 153. List the prime factors of a(3). 3, 13 Suppose -6 = -6*n + 6. List the prime factors of ((-8)/(-20))/(n/305). 61 List the prime factors of ((-1)/5)/(60/(-822300)). 2741 Suppose -5*p + 20 = 0, -3*o + 4*p + 1547 = -0*p. What are the prime factors of o? 521 Let j = -39 + 44. Suppose 0*q - 2*q = y - 200, -5*q = j*y - 505. What are the prime factors of q? 3, 11 Suppose i = -3*i + 20. Suppose 0 = i*h - h + 8. What are the prime factors of 102/4 + 1/h? 5 Suppose 0 = 4*t - 2*f - 11 + 37, 0 = 3*t + f + 22. Let z = -5 - t. Suppose z*y = 3*s - 7*s + 90, -3*s = 4*y - 155. List the prime factors of y. 5, 7 Suppose 6*q - 1277 = 2299. What are the prime factors of q? 2, 149 Let m = -6 - -15. Let t = -177 - -279. What are the prime factors of t/(-15)*(4 - m)? 2, 17 Let h(k) = -2*k + 10. Suppose 3*o = 4*v + 115, 3*o = v - o + 32. Let l = v - -19. What are the prime factors of h(l)? 2, 7 Suppose 2*i + 5*v - 6236 = 0, -v - 19 = -17. What are the prime factors of i? 3, 347 Let k be ((3 - 2) + -1)*12/(-24). Suppose -2*q + 62 + 38 = k. List the prime factors of q. 2, 5 Suppose 174 = -3*h - 2*h + 3*m, m = -h - 30. Let t = 12 - h. Let c = 76 - t. What are the prime factors of c? 31 Suppose 5*g + g - 30 = 0. Suppose f = -g, -2*h - 7*f = -2*f - 329. What are the prime factors of h? 3, 59 Suppose 10*h + 5 = -25. What are the prime factors of (0 - -4) + h + 7? 2 Suppose u = 3*b - 11, -7*u + 2*u = -5. Suppose 3*m - 2*m = -5*c - 11, -b*m = 4*c - 4. What are the prime factors of m - (-18 - 6/(-2))? 19 Let u = 7 - 3. Suppose 164 = u*l - 5*w + 3, l + 4*w = 35. List the prime factors of l. 3, 13 Suppose -1165 + 5673 = 2*z + 2*x, 3*x = 4*z - 8988. What are the prime factors of z? 2, 3, 5 Let d be 15/10*(-8)/(-6). Suppose 4*l - 330 = -d*l. Suppose 5*m + 4*j = -0*j + l, 44 = 4*m - j. What are the prime factors of m? 11 Suppose -3*r + r + 76 = 0. Suppose d + r = 2*h, 3*h - d = d + 58. What are the prime factors of h? 2, 3 Let o be 46/3 - 6/(-9). Suppose -2*b - o = -2. What are the prime factors of (-37)/b + (-6)/21? 5 Suppose -28 - 42 = -i. Suppose 4*j = 3*q + i, 2*j - 3*j = 4*q - 27. Let k = j + 19. List the prime factors of k. 2, 19 Suppose n - 3939 = -5*m, 2*m - n - 2*n - 1562 = 0. List the prime factors of m. 787 Let d = -1616 + 2827. What are the prime factors of d? 7, 173 What are the prime factors of ((-968)/24)/11*-1641? 11, 547 Let y(a) = a**3 + 2*a**2 + 6*a - 34. What are the prime factors of y(12)? 2, 13, 79 Let s be 1/(-2 - 182/(-90)). Let l = -16 - -35. Let u = s - l. List the prime factors of u. 2, 13 Let c = 30 - 16. Let n = 10 + c. What are the prime factors of -5 + 3 + 2 + n? 2, 3 Let c = -64 - -67. Suppose c + 156 = 3*r. List the prime factors of r. 53 Suppose 0 = 8*w - 12*w - 5*z + 1573, -5*w = -4*z - 1956. What are the prime factors of w? 2, 7 Suppose 4*g - 2758 = 2*q, -g = 4*q - 5*q - 687. What are the prime factors of g? 2, 173 Let a(v) = -2*v + 20. Let m be a(11). What are the prime factors of (m - -4 - -80)*(-5)/(-5)? 2, 41 Let f(c) = 2*c**2 - 6*c - 3. Let x be f(4). What are the prime factors of (-1)/((10/(-284))/x)? 2, 71 Suppose -2*p + 258 = p. Suppose p = 5*q - 4*k, 4*q + 2*k = -0*k + 74. Let m = q + -16. List the prime factors of m. 2 Let s be 134/11 - (-2)/(-11). What are the prime factors of 22 - 3*(-4)/s? 23 Let h(q) = 3*q - 76. Let n be h(27). Suppose 0 = n*t - 1870 + 335. What are the prime factors of t? 307 Suppose 16 = 2*j + 3*t, -2*j = 2*t - 6*t + 12. Suppose -310 = -j*f - 0*f. List the prime factors of f. 5, 31 Suppose 3*r - 3 - 3 = 0. Suppose 13 = -4*a + 3*a + 4*w, 4*a - 20 = -r*w. Suppose 0 = -a*d - 5*t + 123, -d - 5*t + 215 = 4*d. List the prime factors of d. 2, 23 Let j(z) = 6*z**2 + 18*z + 22. Let w(d) = -6*d**2 - 16*d - 19. Let u(c) = -5*j(c) - 6*w(c). Suppose 2*r + 3*r = -20. What are the prime factors of u(r)? 2, 19 Suppose -5*b + 0*b - 115 = 0. Let o = 28 + b. Suppose -104 = -2*h - 0*h - p, o*h + 3*p - 261 = 0. What are the prime factors of h? 3, 17 Let s be (-1)/(-3) + (-264)/(-18). Suppose -6*m + s + 3 = 0. List the prime factors of m. 3 Suppose 0 = -34*l + 32*l + 1356. What are the prime factors of l? 2, 3, 113 Let h(c) = c**2 + 2. Let j be h(-3). Let x(u) = 6*u + 4. Let g(w) = 18*w + 10. Let l(b) = 3*g(b) - 8*x(b). What are the prime factors of l(j)? 2 Suppose -5*o + 18 = -u, -3*o + 1 = -2*u - 7. Suppose o*d - 507 = d. Suppose -3*n - d = -5*g, 2*n = -0 - 6. What are the prime factors of g? 2 Let m(u) = -88*u + 509. What are the prime factors of m(-39)? 7, 563 Let f = -58 + 62. Suppose f*n = 157 + 171. List the prime factors of n. 2, 41 Suppose 3*y + 4*j + j - 62 = 0, 0 = 2*y - 2*j - 52. What are the prime factors of y? 2, 3 Let g(a) = -a**2 + 8*a - 10. Let s be g(4). Suppose s*t = 9*t - 186. List the prime factors of t. 2, 31 Let c(m) = 7*m**2 + 3*m + 19. What are the prime factors of c(-18)? 7, 11, 29 Suppose 0 = -12*d + 7*d + 25. What are the prime factors of 2/3*3*(43 - d)? 2, 19 Let p be (-32)/12 + 4/6. What are the prime factors of 0 - (-9 - (4 + p))? 11 Suppose 9*h = -6 + 33. Suppose a - 40 = -u, 53 = 2*a + h*u - 24. List the prime factors of a. 43 Suppose 13*l = 2697 + 202. List the prime factors of l. 223 Suppose -t = -2, 2*f - 3*t + 9 = -f. List the prime factors of (-76 - f)/(-8 - -7). 3, 5 Suppose 26*d = 5*d + 6279. List the prime factors of d. 13, 23 Suppose 0 = 6*c - 22535 + 4889. What are the prime factors of c? 17, 173 Let i be 7 - 11 - -27*1. Let m = 39 - i. Suppose m + 33 = 7*j. What are the prime factors of j? 7 List the prime factors of (30/40)/((12/(-11296))/(-1)). 2, 353 Let r be 0 - 0 - 18/9. Let p be r/((-3)/(-18)*2). List the prime factors of ((-3)/p)/(3/138). 23 Let i be (-22)/26 + (-4)/26. Let j(l) = -161*l - 4. List the prime factors of j(i). 157 Suppose -30*g + 21*g + 8928 = 0. List the prime factors of g. 2, 31 Let b(s) = -s**2 + 18*s - 12. Let h be b(17). Suppose 3*n - h*t - 202 = -n, -5*t = n - 63. List the prime factors of n. 53 Suppose 4*t + 4*j = -52, -t = -0*t + 3*j + 23. Let b be (-2)/t + 1908/48. List the prime factors of (-1*b)/(-2) - -4. 2, 3 Suppose -1188 = -3*f + 4*k, 1179 = 3*f - 8*k + 7*k. What are the prime factors of f? 2, 7 Let s be (-7 + 3 - 70) + -5. Let q = s + 209. What are the prime factors of q? 2, 5, 13 Let t = 10 + -8. Let w = t - -3. Suppose 5*z - 5*f = 185, 0*z + 2*f + 179 = w*z. What are the prime factors of z? 5, 7 List the prime factors of (-20 + 1)*(-14 - 15). 19, 29 What are the prime factors of 179/(-14)*-230 + (-200)/(-700)? 17, 173 Let p(d) = -4*d + 2*d + 3 + d + d**2 + 3. What are the prime factors of p(8)? 2, 31 Let v = 318 - 54. Let o = 459 - v. What are the prime factors of o? 3, 5, 13 Let x(v) = v**3 - 68*v**2 - 37*v - 4. What are the prime factors of x(69)? 2, 19, 29 Let u be ((-36)/14)/(-2 + (-13322)/(-6664)). What are the prime factors of u/40 + 6/10? 2, 3 Suppose 11*a - 12682 = -4487. What are the prime factors of a? 5, 149 Let k = -65 - -160. Suppose -93*c + k*c - 4 = 0. What are the prime factors of c? 2 Let b = -4857 - -10775. What are the prime factors of b? 2,
{ "pile_set_name": "DM Mathematics" }
2*f - 2. Let d = 4 - 2. Let l be z(d). Let p be 4/6 - l/3. Round p to the nearest 10000. -20000 Suppose 5073 - 34593 = -12*q. What is q rounded to the nearest 1000? 2000 Let q be -4 - (859994 + 3 + -1). What is q rounded to the nearest one hundred thousand? -900000 Suppose -4*w = 2*m - 4, -12 = -2*w + 4*m - 0*m. Let t be w + (-1)/1 - -1874. Let g be 128/(0 - 3/t). Round g to the nearest 100000. -100000 Let z be -1330538*(-5)/((-10)/(-3)). Suppose 3*c + 3*h = z + 1514184, 0 = 4*c - 5*h - 4680015. What is c rounded to the nearest 100000? 1200000 Let q = -0.43 - -0.430187. Round q to four decimal places. 0.0002 Let x = -62.9999786 - -63. Round x to 6 decimal places. 0.000021 Let p = -173 - -148.6. Round p to zero decimal places. -24 Let q = 0 + -2. Let x be 81/q*(-1 - -3). Let k = 15 + x. Round k to the nearest 10. -70 Let n = 6.452 - 0.052. Let h = 6 - n. Let a = 0.392 + h. Round a to 2 decimal places. -0.01 Let q = 25.28996375 - 0.12330175. Let n = q + -38.166681. Let s = n - -13. Round s to five dps. -0.00002 Let o = -11.89 - -12. Let r = -0.4 + o. Let k = 0.398 + r. What is k rounded to two decimal places? 0.11 Let d = 22.3 + 5.7. Let n = 213538 + -213566.00104. Let f = n + d. Round f to 4 dps. -0.001 Suppose 4*o = s - 6007, -2*s + 2*o - 29947 = -7*s. Suppose a = 3*h + s, 18015 = 3*a + h + 4*h. Suppose 3*q + q = a. What is q rounded to the nearest 1000? 2000 Let d = -0.6884898 + 110.6895098. Let i = d + -110. What is i rounded to four dps? 0.001 Suppose -5*o - 30015 = -f, 5*f - 63905 = 2*o + 86101. What is f rounded to the nearest one hundred thousand? 0 Let u = 78.00000124 + -78. What is u rounded to seven dps? 0.0000012 Let y = -326 - -174. Let a = -73 - y. Let l = 79.0000037 - a. Round l to six decimal places. 0.000004 Let p = -72 + 150. Let z = p + -82.9. Let o = z - -4.90023. Round o to four dps. 0.0002 Let g = 0.1241 - 0.254. Round g to two decimal places. -0.13 Let z = -0.34 + 0.34000064. What is z rounded to six decimal places? 0.000001 Let w = 4 - 3. Let z be w - (-3 + 7) - 1899997. What is z rounded to the nearest one million? -2000000 Let y = -5867.25 - -5885.84842. Let s = y + -18.6. Round s to 4 dps. -0.0016 Let p(v) = -v**2 + v. Let z be p(1). Suppose z = -o + 4*o - 18. Let w be (-280)/o*66/4. What is w rounded to the nearest 100? -800 Let t be 589448/(-6)*(-23 - -2). Suppose -t + 6913068 = 5*z. Round z to the nearest one hundred thousand. 1000000 Let i = -0.099 + 0.221. Round i to 2 dps. 0.12 Let y = -4.794 + -0.106. Round y to the nearest integer. -5 Let v = 17410 - -12590. What is v rounded to the nearest 100000? 0 Let s(a) = a**2 + 2*a - 4. Let x = -12 + 8. Let n be s(x). Let g be 16/(-3)*9750/n. Round g to the nearest 10000. -10000 Let m = -27 - -25.14. What is m rounded to one decimal place? -1.9 Suppose 0*g - 2*j = g, -j + 18 = 5*g. Let i(q) = -83*q**3 - 7*q**2 + 5*q + 4. Let p be i(g). What is p rounded to the nearest 1000? -5000 Suppose 2*t + m - 5060 = 0, 3*t = -4*m + 1861 + 5729. What is t rounded to the nearest 100? 2500 Suppose 52183359 = -2*b - 9982417. Let p = -11482888 - b. Suppose 2*n + x - 2130754 + 11930754 = 0, -x - p = 4*n. Round n to the nearest 1000000. -5000000 Let y be -6 - (1 - 4) - -3. Let o be -3 - (y - 2) - -1. Round o to seven decimal places. 0 Let w = 115 - 196. Round w to the nearest 10. -80 Let a = -1.762952 + 2.962995. Let n = a + -1.2. Round n to 5 decimal places. 0.00004 Let s = -213 - -213.000194. What is s rounded to five decimal places? 0.00019 Let k = 3.6 - 6. Let d = k - -0.5. What is d rounded to 0 dps? -2 Let s = -10 - -10.00048. What is s rounded to four dps? 0.0005 Let m(r) = -r**3 + 6*r**2 - 6. Let w be m(6). Let q be (-525)/w*2*32. Round q to the nearest 1000. 6000 Suppose -5*q = 22 + 3. Let c be (q + 3)*(-9441419)/2. Suppose 0 = 5*h - c + 441419. What is h rounded to the nearest 1000000? 2000000 Let b = 203.999526 + -204. What is b rounded to four dps? -0.0005 Let o = 11.593434 - 142.592804. Let w = -151 - -282. Let f = o + w. What is f rounded to four dps? 0.0006 Let v = -88 + 146.1. Round v to the nearest ten. 60 Let p = -98.11 + 0.11. Let t = p - -97.99999959. What is t rounded to 7 dps? -0.0000004 Let n = -0.3820866 - 0.0879177. Let l = n - -0.47. What is l rounded to six dps? -0.000004 Let a = -0.47000021 - -0.47. Round a to 7 dps. -0.0000002 Let s = 233 - 27. Let k = -4405.318923 + 4611.31877. Let y = s - k. What is y rounded to five dps? 0.00015 Let y(v) be the first derivative of 7667*v**3/3 - 3*v - 2. Suppose -4 = 5*r + 11. Let q be y(r). What is q rounded to the nearest 10000? 70000 Let k(i) = -1 - 5*i + 8*i**2 + i**3 - 2 - 11. Let r be k(-10). Let h = 6864 + r. What is h rounded to the nearest one thousand? 7000 Let y = 10616.18 + -10624.179984. Let f = 8 + y. Round f to 6 dps. 0.000016 Suppose -4*i + 9091 = 5*f - 8242, 4*f = -2*i + 13870. Let w = -6239 + f. What is w rounded to the nearest 100? -2800 Let d(u) = -8*u**2 - 4*u - 2. Let f(j) = -23*j**2 - 12*j - 7. Let b(n) = 11*d(n) - 4*f(n). Let g be b(-8). What is g rounded to the nearest one hundred? 200 Let t = -0.4 + 0.6. Let j = -0.05 - t. Let k = 0.09 + j. What is k rounded to 1 dp? -0.2 Let k = -0.2063506 + -0.0036684. Let w = 1.6 - 1.39. Let s = w + k. What is s rounded to five dps? -0.00002 Let q = -3203455 - -3203459.999933. Let w = 0 - 5. Let k = q + w. Round k to 5 dps. -0.00007 Let p = -14 - -15. Let b = p + -1.0000011. What is b rounded to 6 dps? -0.000001 Let j = 0.067958 - 0.068. Round j to 5 decimal places. -0.00004 Let h = -0.094 + 0.0583. What is h rounded to 3 decimal places? -0.036 Let n = 23529.111 - 23647. Let q = n - -118. Round q to 2 dps. 0.11 Let m = -134525 - -134336.203. Let u = m - -189. Let n = u + -0.2. What is n rounded to two dps? 0 Let b = 0.9 + -0.899805. Round b to five dps. 0.0002 Let m(q) = -5 + 7 + 129908*q + 2336758*q. Let c be m(3). Round c to the nearest one million. 7000000 Suppose 4 = h, -3*h = r + 20496 + 16492. What is r rounded to the nearest ten thousand? -40000 Let t = 19.52 + 3972.48. Let x = t + -3954.21. Let q = 38 - x. What is q rounded to one dp? 0.2 Let t = 5.08 - 5. Let i = -0.0799976 + t. What is i rounded to 6 decimal places? 0.000002 Let f = 0.300021 - 0.3. What is f rounded to five decimal places? 0.00002 Let l = 1.002 - 914.002. Let r = 912.96015 + l. Let v = r - -0.04. What is v rounded to 4 decimal places? 0.0002 Let i = 0.7 + -2.2. Let o = -1.4948 - i. Round o to 3 dps. 0.005 Suppose -3*f + 144 = -2040. Round f to the nearest ten. 730 Suppose m - 2*s + 14 = 0, -3*m - 2*s = -4*s + 34. Let f(l) = -2099*l**3 + 11*l**2 + 11*l + 10. Let d be f(m). Round d to the nearest one million. 2000000 Let l(g) = 40*g**2 + 12*g + 2. Let t be l(5). Suppose 0 = -3*a + t + 10038. What is a rounded to the nearest 1000? 4000 Let n = 9983 + -4483. What is n rounded to the nearest 1000? 6000 Let c = 13 - 8. Let h = c - 2.8. Round h to the nearest integer. 2 Let g = 24 - 23.9996. Round g to 3 decimal places. 0 Let f = 2.1 + -0.4. Let j = 138834.300042 - 138832.6. Let b = f - j. Round b to 5 dps. -0.00004 Let q = 26.2 + -2.2. Let y = q + -25.7. Round y to 1 decimal place. -1.7 Let g = 122888.1999985 + -122889. Let u = g + 0.8. Round u to 7 decimal places. -0.0000015 Suppose r - 23274 = -r. Let x be (-1097 - 3)/(3/r). Let d = x + 1866900. Round d to the nearest one million. -2000000 Let z = 36551 - 36550.85163. Let t = 199 + -199.149. Let l = t + z. What is l rounded to four dps? -0.0006 Let v = -119 + 137.1. Round v to the nearest integer. 18 Let o = -85.89999627 + 85.9. Round o to 7 decimal places. 0.0000037 Let s = 0.06 + -0.18. Let n = s - -0.1200036. Round n to 6 dps. 0.000004 Let z = 98691 - 204691. Round z to the nearest ten thousand. -110000 Let i = -9.60000508 - -9.6. What is i rounded to seven dps? -0.0000051 Let d(i) = -11276*i**2 + 7*i - 2. Let k be d(14). Round k to the nearest 100000. -2200000 Let d be 1256055/6*404/5. Suppose -d = 2*t + 11885126. What is t rounded to the nearest 1000000? -14000000 Let s = 0.71 - 0.70676. What is s rounded to four decimal places? 0.0032 Let n = 37 + -37.017. Let a = 0.0197 + n. What is a rounded to 3 decimal places? 0.003 Let c = 229.919133 + 0.187867. Let f = c + -230. What is f rounded to 2 dps? 0.11 Let i = -43156.378 + 43291. Le
{ "pile_set_name": "DM Mathematics" }
- 184*u = 80 for u. -8 Solve 0 = -21*a + 33*a - 72 for a. 6 Solve 11 - 36 = 5*i for i. -5 Solve -2*x + 16 = 10 for x. 3 Solve -19*u - 11 + 49 = 0 for u. 2 Solve -87*s - 36 = -75*s for s. -3 Solve 0 = 16*y + 5 - 69 for y. 4 Solve 0 = 2*r + 5*r + 21 for r. -3 Solve 5*b = -1 - 4 for b. -1 Solve 0 = -25*d + 9 + 16 for d. 1 Solve a + 5*a = 0 for a. 0 Solve 60*g - 62*g = 0 for g. 0 Solve 0 = -95*t + 93*t - 6 for t. -3 Solve -3*x + 2 = 5 for x. -1 Solve 13*z = -5 + 70 for z. 5 Solve 0 = 52*u - 57*u - 25 for u. -5 Solve -100*p = -99*p + 1 for p. -1 Solve 11*m = -62*m + 73 for m. 1 Solve 0 = 5*k + 59 - 64 for k. 1 Solve -129 = -9*h - 120 for h. 1 Solve -49*x = 50*x for x. 0 Solve -81*o = -104*o - 69 for o. -3 Solve -5*u + 45 = -0*u for u. 9 Solve -170 = -12*r - 86 for r. 7 Solve -55 = -33*c + 44*c for c. -5 Solve -13*l - 2 = 11 for l. -1 Solve -3*k + 3 = -6 for k. 3 Solve -68*k + 558 = 218 for k. 5 Solve -9*w + 2*w = 0 for w. 0 Solve 9*z - 721 = -694 for z. 3 Solve 4*p + 172 = 148 for p. -6 Solve 8 = -10*b + 8*b for b. -4 Solve 688 = -m + 684 for m. -4 Solve -34*p + 29*p + 15 = 0 for p. 3 Solve 5 = -1334*r + 1335*r for r. 5 Solve 0 = 43*q + 76 - 119 for q. 1 Solve -215 + 40 = -35*j for j. 5 Solve -105 = -35*h + 70 for h. 5 Solve -11*v = -18 - 4 for v. 2 Solve 0 = 3*b - 1142 + 1139 for b. 1 Solve 27*r = 26*r - 1 for r. -1 Solve -20*x - 363 + 203 = 0 for x. -8 Solve -9*d + 14*d = 15 for d. 3 Solve 0 = 9*k + 87 - 60 for k. -3 Solve -4*u - 19 = 5 for u. -6 Solve -7*f - f + 24 = 0 for f. 3 Solve -4*h = -3 - 13 for h. 4 Solve 0 = 22*x - 8*x - 56 for x. 4 Solve 123*o = 116*o + 14 for o. 2 Solve -2*d = -5*d + 3 for d. 1 Solve -4*w + 5 + 15 = 0 for w. 5 Solve 0 = 22*t - 7*t - 75 for t. 5 Solve 0 = -0*o - o for o. 0 Solve 0 = 73*g - 68*g + 5 for g. -1 Solve -4 = 2093*t - 2089*t for t. -1 Solve -37*m - 153 = -54*m for m. 9 Solve 12*z = 5*z - 28 for z. -4 Solve 56*j + 1 = 57*j for j. 1 Solve 0 = 13*l + 23*l for l. 0 Solve 9*x = -63 + 36 for x. -3 Solve -10*g + 25 = -15*g for g. -5 Solve 48*i + 144 = 66*i for i. 8 Solve 7*q + 16 = 2 for q. -2 Solve -4*v - 5 + 9 = 0 for v. 1 Solve 0 = -64*h + 47*h for h. 0 Solve -17 = -11*w - 72 for w. -5 Solve 4*p - 2*p = 10 for p. 5 Solve 27*m - 88*m = 427 for m. -7 Solve 0 = 3*b - 50*b - 188 for b. -4 Solve -4*i + i + 2*i = 0 for i. 0 Solve -5 + 10 = -5*t for t. -1 Solve -2*w - 28 = -26 for w. -1 Solve -9*t - 13*t = -44 for t. 2 Solve 0 = -q - 3 + 2 for q. -1 Solve -266 = 114*c - 76*c for c. -7 Solve -10*n = 1 - 11 for n. 1 Solve -18*o + 48*o + 30 = 0 for o. -1 Solve 2*z = 1 + 3 for z. 2 Solve -16*b - 35 - 29 = 0 for b. -4 Solve -3*q = -4*q + 2 for q. 2 Solve 5 = 3*x + 5 for x. 0 Solve -198 = -14*h - 114 for h. 6 Solve 74*g = -49 - 173 for g. -3 Solve 46*r + 617 = 203 for r. -9 Solve 42 = 101*m - 95*m for m. 7 Solve -16*n - 27*n + 129 = 0 for n. 3 Solve -110*x - 437 = -1427 for x. 9 Solve 0 - 9 = -9*t for t. 1 Solve -6*c - 14*c + 80 = 0 for c. 4 Solve -6*z - 109 = -121 for z. 2 Solve 35 - 20 = 5*i for i. 3 Solve -7*y + 16 = -3*y for y. 4 Solve 38 - 26 = -6*d for d. -2 Solve 0 = -5*i - 12 - 23 for i. -7 Solve -41*t + 30 = -134 for t. 4 Solve 0 = 13*n - 20*n - 14 for n. -2 Solve -9*h = 6 + 3 for h. -1 Solve -74*y - 33 = -63*y for y. -3 Solve 0 = -7*s - 623 + 581 for s. -6 Solve -8*n = -12*n + 16 for n. 4 Solve 28 = -44*v - 192 for v. -5 Solve -230*t + 284*t + 216 = 0 for t. -4 Solve -6*w - 1 - 23 = 0 for w. -4 Solve 17*x - 134 = -32 for x. 6 Solve -20*d - 6 = -17*d for d. -2 Solve -3*w + 90 = -21*w for w. -5 Solve -t - 13 + 15 = 0 for t. 2 Solve -9 = 224*b - 215*b for b. -1 Solve -10 = -11*z + 16*z for z. -2 Solve -49 = 17*u + 19 for u. -4 Solve -13*q = -q - 48 for q. 4 Solve 0 = -17*c + 28*c for c. 0 Solve 10*j - 21 = 9 for j. 3 Solve 7*v - 9 = 5 for v. 2 Solve 17 = 6*i + 5 for i. 2 Solve -12*x - 11*x = 23 for x. -1 Solve 64*d = 70*d + 48 for d. -8 Solve -33*r = -28*r - 5 for r. 1 Solve 0 = 7*o - 29 + 8 for o. 3 Solve 14*i + 52 = -38*i for i. -1 Solve -2*o = -10*o - 8 for o. -1 Solve -29*v + 116 = -0*v for v. 4 Solve -58*s + 86*s - 84 = 0 for s. 3 Solve 9*a + 13 = -5 for a. -2 Solve -9*y - 16 = -70 for y. 6 Solve 531 - 573 = -14*k for k. 3 Solve 0 = 2*w - 2 + 8 for w. -3 Solve 0 = -j + 2*j - 0*j for j. 0 Solve 96*g - 12 = 102*g for g. -2 Solve 3*p - 2 = 4*p for p. -2 Solve 66 - 46 = -4*s for s. -5 Solve -56 = 18*p - 26*p for p. 7 Solve -7*o + 12*o = -15 for o. -3 Solve -36*x = 45*x + 567 for x. -7 Solve 0*t = 2*t - t for t. 0 Solve 5*y - 27 + 42 = 0 for y. -3 Solve 0 = 18*s - 20*s - 8 for s. -4 Solve -2*r + 84 = 26*r for r. 3 Solve -3*b + 11*b - 16 = 0 for b. 2 Solve -260 = -11*f - 183 for f. 7 Solve -91*y + 6 = -88*y for y. 2 Solve 47*x + 245 = 12*x for x. -7 Solve -41 = -14*x - 13 for x. 2 Solve -23 = 7*p - 16 for p. -1 Solve 163*k - 159*k + 4 = 0 for k. -1 Solve 8 = 171*l - 175*l for l. -2 Solve -9*g + 7*g + 6 = 0 for g. 3 Solve -4*k + k = 0 for k. 0 Solve 15*n - 96 = -n for n. 6 Solve -27*j - 112 = 104 for j. -8 Solve 223*g - 228*g - 25 = 0 for g. -5 Solve 1 = -5*c + 4*c for c. -1 Solve -5*g + 202 = 222 for g. -4 Solve 3*c + 0 + 0 = 0 for c. 0 Solve -18*a - 104 = 4 for a. -6 Solve -9*g = 11 - 11 for g. 0 Solve -11*x + 32 = 21 for x. 1 Solve -46*h - 63 = -17 for h. -1 Solve 0 = 3*d + 93*d - 288 for d. 3 Solve -11*p + 78 = 34 for p. 4 Solve -58*r - 240 = -34*r for r. -10 Solve 6*a + 16 = -2*a for a. -2 Solve 74*t - 48 = 26*t for t. 1 Solve 36 = l + 8*l for l. 4 Solve 0*k = -6*k - 3*k for k. 0 Solve -7*i - 57 = -26*i for i. 3 Solve 2*k + 584 = 588 for k. 2 Solve 8*h - 11 + 35 = 0 for h. -3 Solve -w = 5 - 4 for w. -1 Solve 49*c - 18*c = 217 for c. 7 Solve -7*c - 5 + 33 = 0 for c. 4 Solve 27 = -10*l - 43 for l. -7 Solve 32*h = 31*h for h. 0 Solve -50*s - 764 = -264 for s. -10 Solve 4*o + 40 = 14*o for o. 4 Solve 0 = 13*f - 6*f + 7 for f. -1 Solve 4 - 220 = -72*g for g. 3 Solve -8 = -0*p + 4*p for p. -2 Solve 8 = -9*s - 1 for s. -1 Solve -198 = 21*d + 12*d for d. -6 Solve 0 = 15*z - 72 - 3 for z. 5 Solve o = 49 - 53 for o. -4 Solve 63*i - 71*i = 0 for i. 0 Solve -30*g - 114 = -114 for g. 0 Solve 0 = -6*p + 3*p for p. 0 Solve 96 = -17*g - 7*g for g. -4 Solve 16*c + 18*c = 0 for c. 0 Solve -5*f - 80 = 11*f for f. -5 Solve 815 + 88 = 129*y for y. 7 Solve 10*u = 6*u for u. 0 Solve -944 + 941 = -3*i for i. 1 Solve -50 = -5*l - 75 for l. -5 Solve -74*o + 82 - 8 = 0 for o. 1 Solve 9 - 13 = j for j. -4 Solve 17 = -28*o + 11*o for o. -1 Solve 29 = 24*f - 163 for f. 8 Solve -10*z = -94*z + 672 for z. 8 Solve 10*o - 15 = 15 for o. 3 Solve 142*u - 19*u = 984 for u. 8 Solve -14 + 66 = -13*f for f. -4 Solve 2*j + 0*j - 2 = 0 for j. 1 Solve -6*b + 0*b = -5*b for b. 0 Solve -162*j - 2 = -163*j for j. 2 Solve -11 = -2*u - 1 for u. 5 Solve -11*r - 66 + 0 = 0 for r. -6 Solve -50 = 32*z + 110 for z. -5 Solve 3*v = -6*v - 36 for v. -4 Solve 0 = 57*r - 41*r - 112 for r. 7 Solve -20*i - 45 = -29*i for i. 5 Solve 6*q = q - 25 for q. -5 Solve -2*n + 17 = 23 for n. -3 Solve 0 = -11*u - 3 + 14 for u. 1 Solve -235 = -9*s - 253 for s. -2 Solve 7*f - 84 + 42 = 0 for f. 6 Solve -18*s + 24 = -12*s for s. 4 Solve -3*p - p = -20 for p. 5 Solve 21*q = 39*q + 36 for q. -2 Solve -69*z = -70*z - 6 for z. -6 Solve 1 - 16 = 5*v for v. -3 Solve -5*k - 400 + 410 = 0 for k. 2 Solve 7*a - 15*a = 0 for a. 0 Solve -355*i + 8 = -351*i for i. 2 Solve 0 = 3*b + 14 - 20 for b. 2 Solve 0 = 2*x - 79 + 87 for x. -4 Solve 6*s = s - 12*s for s. 0 Solve 10*h + 39 + 31 = 0 for h. -7 Solve 3*z + 57 - 81 = 0 for z. 8 Solve -3*n - 102 = -90 for n. -4 Solve -482 = -7*q - 517 for q. -5 Solve 25*p - 20*p = -41*p for p. 0 Solve 4 = 10*u - 9*u for u. 4 Solve 5*b = 581 - 581 for b. 0 Solve -4*b + b = -15 for b. 5 Solve 0 = w - 19*w for w. 0 Solve -286 - 84 = 74*h for h. -5 Solve 91*d = 22*d + 276 for d. 4 Solve -23 - 93 = -29*i for i. 4 Solve 5*x + 0 = 20 for x. 4 Solve 0 = -80*l + 82*l + 12 for l. -6 Solve 14*g = 15*g + 1 for g. -1 Solve 0 = -3*x + 2 - 5 for x. -1 Solve -9*k = 38 - 2 for k. -4 Solve 0*b = -16*b + 16 for b. 1 Solve 0 = 11*j - 4*j + 7 for j. -1 Solve -8 - 87 = 19*p for p. -5 Solve 0 = -3*v - 7*v + 10 for v. 1 Solve 10 = -5*z - 0*z for z. -2 Solve 0 = -8*t + 25 + 7 for t. 4 Solve 24 = 5*d + 3*d for d. 3 Solve -7*n = 12 - 12 for n. 0 Solve 18*g = 329 - 239 for g. 5 Solve 5*m - 2
{ "pile_set_name": "DM Mathematics" }
t is the third root of 26647 to the nearest integer? 30 What is the third root of 830 to the nearest integer? 9 What is 81536 to the power of 1/2, to the nearest integer? 286 What is the square root of 468 to the nearest integer? 22 What is 15471 to the power of 1/10, to the nearest integer? 3 What is 8437 to the power of 1/5, to the nearest integer? 6 What is the square root of 14885 to the nearest integer? 122 What is 236 to the power of 1/6, to the nearest integer? 2 What is the square root of 7782 to the nearest integer? 88 What is 9604 to the power of 1/3, to the nearest integer? 21 What is the square root of 1346 to the nearest integer? 37 What is the seventh root of 4616 to the nearest integer? 3 What is the square root of 79527 to the nearest integer? 282 What is 3659 to the power of 1/2, to the nearest integer? 60 What is the cube root of 13721 to the nearest integer? 24 What is 10537 to the power of 1/5, to the nearest integer? 6 What is 1996 to the power of 1/2, to the nearest integer? 45 What is 6553 to the power of 1/4, to the nearest integer? 9 What is the sixth root of 8562 to the nearest integer? 5 What is the square root of 1163 to the nearest integer? 34 What is 11958 to the power of 1/3, to the nearest integer? 23 What is 943 to the power of 1/8, to the nearest integer? 2 What is 4551 to the power of 1/3, to the nearest integer? 17 What is 6 to the power of 1/5, to the nearest integer? 1 What is the third root of 812 to the nearest integer? 9 What is 9857 to the power of 1/3, to the nearest integer? 21 What is 103475 to the power of 1/2, to the nearest integer? 322 What is 4801 to the power of 1/2, to the nearest integer? 69 What is 668 to the power of 1/3, to the nearest integer? 9 What is 1235 to the power of 1/2, to the nearest integer? 35 What is the square root of 22920 to the nearest integer? 151 What is the ninth root of 305 to the nearest integer? 2 What is 2548 to the power of 1/5, to the nearest integer? 5 What is the tenth root of 4232 to the nearest integer? 2 What is the cube root of 38344 to the nearest integer? 34 What is 1767 to the power of 1/3, to the nearest integer? 12 What is the square root of 17162 to the nearest integer? 131 What is the cube root of 12737 to the nearest integer? 23 What is the third root of 538 to the nearest integer? 8 What is the cube root of 13826 to the nearest integer? 24 What is the fourth root of 5176 to the nearest integer? 8 What is 64142 to the power of 1/4, to the nearest integer? 16 What is the third root of 455 to the nearest integer? 8 What is 13487 to the power of 1/5, to the nearest integer? 7 What is 79924 to the power of 1/2, to the nearest integer? 283 What is 3293 to the power of 1/8, to the nearest integer? 3 What is the seventh root of 1123 to the nearest integer? 3 What is 14876 to the power of 1/2, to the nearest integer? 122 What is 4383 to the power of 1/3, to the nearest integer? 16 What is the cube root of 16050 to the nearest integer? 25 What is the square root of 449 to the nearest integer? 21 What is 9434 to the power of 1/10, to the nearest integer? 2 What is the square root of 8933 to the nearest integer? 95 What is 42266 to the power of 1/9, to the nearest integer? 3 What is 25486 to the power of 1/6, to the nearest integer? 5 What is 8425 to the power of 1/4, to the nearest integer? 10 What is 409 to the power of 1/3, to the nearest integer? 7 What is 29090 to the power of 1/2, to the nearest integer? 171 What is 1234 to the power of 1/3, to the nearest integer? 11 What is the square root of 46881 to the nearest integer? 217 What is 8626 to the power of 1/5, to the nearest integer? 6 What is 5144 to the power of 1/2, to the nearest integer? 72 What is 36637 to the power of 1/4, to the nearest integer? 14 What is 1141 to the power of 1/4, to the nearest integer? 6 What is 940 to the power of 1/2, to the nearest integer? 31 What is the square root of 342 to the nearest integer? 18 What is the fourth root of 4143 to the nearest integer? 8 What is 1976 to the power of 1/3, to the nearest integer? 13 What is the eighth root of 6331 to the nearest integer? 3 What is the cube root of 2060 to the nearest integer? 13 What is the square root of 7158 to the nearest integer? 85 What is the sixth root of 1538 to the nearest integer? 3 What is the square root of 23386 to the nearest integer? 153 What is the square root of 49771 to the nearest integer? 223 What is the tenth root of 6897 to the nearest integer? 2 What is the square root of 682 to the nearest integer? 26 What is the square root of 58387 to the nearest integer? 242 What is 992 to the power of 1/2, to the nearest integer? 31 What is the fifth root of 39971 to the nearest integer? 8 What is the cube root of 5923 to the nearest integer? 18 What is the ninth root of 2198 to the nearest integer? 2 What is 332 to the power of 1/4, to the nearest integer? 4 What is the square root of 1349 to the nearest integer? 37 What is 21359 to the power of 1/6, to the nearest integer? 5 What is the square root of 26345 to the nearest integer? 162 What is 966 to the power of 1/2, to the nearest integer? 31 What is the third root of 13030 to the nearest integer? 24 What is the square root of 15955 to the nearest integer? 126 What is the cube root of 79851 to the nearest integer? 43 What is the fourth root of 58361 to the nearest integer? 16 What is the square root of 16932 to the nearest integer? 130 What is 80891 to the power of 1/5, to the nearest integer? 10 What is 50147 to the power of 1/3, to the nearest integer? 37 What is 710 to the power of 1/9, to the nearest integer? 2 What is the tenth root of 8802 to the nearest integer? 2 What is the tenth root of 15305 to the nearest integer? 3 What is 25647 to the power of 1/5, to the nearest integer? 8 What is 104515 to the power of 1/3, to the nearest integer? 47 What is the square root of 115380 to the nearest integer? 340 What is the cube root of 17021 to the nearest integer? 26 What is the third root of 407 to the nearest integer? 7 What is the cube root of 13167 to the nearest integer? 24 What is the cube root of 110 to the nearest integer? 5 What is the square root of 548 to the nearest integer? 23 What is the square root of 3090 to the nearest integer? 56 What is 172612 to the power of 1/6, to the nearest integer? 7 What is the fourth root of 102 to the nearest integer? 3 What is the third root of 443 to the nearest integer? 8 What is the sixth root of 597 to the nearest integer? 3 What is the third root of 23829 to the nearest integer? 29 What is the ninth root of 6535 to the nearest integer? 3 What is 16322 to the power of 1/2, to the nearest integer? 128 What is the cube root of 142 to the nearest integer? 5 What is the square root of 168 to the nearest integer? 13 What is 87805 to the power of 1/2, to the nearest integer? 296 What is the third root of 176 to the nearest integer? 6 What is 107191 to the power of 1/3, to the nearest integer? 48 What is the third root of 9694 to the nearest integer? 21 What is 9169 to the power of 1/6, to the nearest integer? 5 What is 11698 to the power of 1/2, to the nearest integer? 108 What is 5173 to the power of 1/5, to the nearest integer? 6 What is the sixth root of 648 to the nearest integer? 3 What is 27589 to the power of 1/6, to the nearest integer? 5 What is the third root of 7559 to the nearest integer? 20 What is 1461 to the power of 1/6, to the nearest integer? 3 What is 12218 to the power of 1/2, to the nearest integer? 111 What is the third root of 1176 to the nearest integer? 11 What is 1883 to the power of 1/8, to the nearest integer? 3 What is the third root of 114 to the nearest integer? 5 What is 27812 to the power of 1/2, to the nearest integer? 167 What is the third root of 1749 to the nearest integer? 12 What is 3777 to the power of 1/2, to the nearest integer? 61 What is 9031 to the power of 1/3, to the nearest integer? 21 What is the third root of 2758 to the nearest integer? 14 What is 14474 to the power of 1/4, to the nearest integer? 11 What is the square root of 8098 to the nearest integer? 90 What is the fifth root of 3464 to the nearest integer? 5 What is the third root of 71624 to the neares
{ "pile_set_name": "DM Mathematics" }
r = z for r. 1 Let x(q) = q**3 + 5*q**2 - q - 1. Suppose 16 + 9 = -2*f + 5*y, 3 = y. Let n be x(f). Suppose -5*c + 2*u + 75 = 7*u, -n*c = -4*u - 20. Solve -5*i - c = 5 for i. -3 Suppose -103*o + 445 + 1542 + 176 = 0. Let k be (-1)/(-1*(-1)/(-17)). Let b = o - k. Solve h + b = 2 for h. -2 Let z(o) = -o**3 - 7*o**2 - 4*o + 15. Suppose 15*k = 18*k - 6. Suppose w + 8 - k = 0. Let f be z(w). Solve l + f = 4 for l. 1 Let m be ((-3420)/1330)/((-3)/7). Solve -15*k - 105 = m*k for k. -5 Let r(l) = l + 19. Let j be r(-9). Let n = j + 2. Suppose -n*g = -8*g. Solve -d - 2*d - 3 = g for d. -1 Let a be ((-9)/5)/(7 + 102/(-15)). Let b be (30/(-9))/(6/a). Solve -3 = -b*l - 13 for l. -2 Suppose 493 - 489 = 4*i. Suppose 2*l + 0 - i = p, -4*p = -2*l - 26. Solve -28 + 1 = p*f for f. -3 Let k(j) = -35*j - 2. Let f be k(5). Let y = -177 - f. Solve -7*h + 10*h + 15 = y for h. -5 Suppose -3*a + 4*a = -8. Let h be (-4 - -1 - 3)*4/a. Solve -t = h*t for t. 0 Suppose -5*f - 4*j + 489 = 0, 0 = -4*f + j - 5*j + 388. Let v be 1010/f*14/10. Solve 16 = 10*s - v for s. 3 Suppose r + 15 = -5*s, 5 = -5*r - 2*s - 1. Let x(v) = v**2 - 8*v + 15. Let p be x(2). Suppose -p*b - 4 = -1, -4*j - 4*b + 4 = 0. Solve r = -j*u - u for u. 0 Let z(x) = 45*x - 79. Let l be z(2). Solve p + 15 - l = 0 for p. -4 Let w(j) = -j**3 + 21*j**2 - 10. Let b be w(21). Let f be (-77 + 74)/(6/b + 0). Solve -f = -4*u + 5*u for u. -5 Suppose 53*d - r - 23 = 51*d, 5*r + 25 = 0. Suppose 0 = l - 3*l + 6. Solve 6 = -l*v + d for v. 1 Suppose 2*x = 5*s + 25, 2*x - 31 = 190*s - 191*s. Solve x*i = 16*i - 3 for i. 3 Let z = 1079 - 540. Suppose -z + 554 = 5*r. Solve 0 = -4*l + 7 - r for l. 1 Suppose 5*k = -30, w + 5*k - 8 = -22. Solve -23 = w*j - 103 for j. 5 Suppose -x - 3 + 16 = 0. Let b = -172 - -409. Let y = b - 235. Solve y = 5*h - x for h. 3 Let b be 32 - (110 - 96)/(0 + 2 - 0). Solve 0 = b*g + 29 - 104 for g. 3 Let h(d) = d**3 - 5*d**2 - 12. Let v be h(6). Let x = v - 20. Let f = x - -8. Solve -3*r + f = r for r. 3 Let b(q) = -q**3 + 5*q**2 - 5*q. Let i be b(2). Suppose -3*t - i*d + 6 = 0, 7*d - 8*d + 9 = 3*t. Solve c = t*c + 3 for c. -1 Let q be (-2)/(-14)*0*1. Solve -619*s + 626*s + 21 = q for s. -3 Suppose 0 = -21*v + 14*v + 161. Suppose 2*a = -9 + v. Solve a = -4*d - 1 for d. -2 Let r(v) = 4*v + 78. Let x be r(-16). Suppose 3*z = x - 2. Solve 0 = 8*t - 10*t + z for t. 2 Let v(y) = 2*y**2 + 167*y - 16 - 159*y + 6*y**2 + y**3. Let h be v(-4). Solve -5*z = -z + h for z. -4 Let z(n) = n**3 - 2*n**2 - 51*n + 39. Let j be z(8). Suppose 0 = -6*b + 2*b + 16. Solve b*a = -a + j for a. 3 Let q(l) = -7*l + 2. Let r be q(-1). Let z = -1340 - -1351. Solve 4*a = -z - r for a. -5 Let q(n) = -7*n**2 - 126*n + 31. Let t be q(-18). Solve -44 + 13 = t*k for k. -1 Suppose 0 = 26*v - 23*v - 12, 0 = -j - 2*v + 27. Solve j = -2*m + 23 for m. 2 Suppose -3*g - 2*q = -3*q - 24, -g + 8 = q. Let f = -187333 - -187335. Let v(u) = u**3 + 2*u**2 + 2. Let r be v(-2). Solve -g = r*x + f for x. -5 Let f(m) = -m**2 + 7*m + 1. Let o be f(5). Let i be 2/(-4) - (-4)/(8/o). Suppose t = -5*x - i, 0*x + 26 = 4*t - 3*x. Solve 0*h = 5*h + t for h. -1 Suppose 3*l + 5*u = 2*l + 23, 0 = 3*u - 12. Suppose 6*v = 61 - 19. Suppose 0*o + v*o = 2*o. Solve o = -g + 2*g - l for g. 3 Suppose -4*p = 2*z - 10, 6*z - 8*z + 3 = -3*p. Let a(w) = 37*w**2 - 3*w - 2. Let l be a(1). Solve -26 = -z*d - l for d. -2 Suppose 3*y - 66 = 4*n, -25*y = -20*y - 4*n - 94. Solve 13*v = -v - y for v. -1 Suppose 0 = -5*c + 4*l + 136, -5*c + 559 = -5*l + 424. Solve c = -12*m - 8 for m. -3 Let n(h) = -2*h**2 - 2*h + 8. Let f be n(0). Let q = 1 + 2. Suppose -3*j = -3*c - 3, -4*j + 6 = -q*c + 2. Solve c = f*s - 3*s for s. 0 Suppose -214 = 9*r - 8*r. Let i = r - -230. Solve -x = 3*x - i for x. 4 Let a be 6 + 17 + -23 - (2 + (-1 - 16)). Solve 39 = -a*j - 36 for j. -5 Suppose 2*q = 4*l + 60, 0 = -3*q + l - 5*l + 90. Solve -q*p + 29*p = -5 for p. 5 Let m be 4 + (-49)/(-5) + (-96)/(-80). Solve 48 = -m*t - 12 for t. -4 Let g(b) = 83*b + 86*b + 2 - 168*b. Let t be g(-2). Solve t*o = 5*o + 20 for o. -4 Suppose 222 + 618 = 4*i. Suppose -510 + i = -30*m. Solve -45 = -r + m*r for r. -5 Suppose 5*p + 5*w - 1085 = 0, 0 = -9*w + 7*w - 6. Solve p*z - 226*z - 36 = 0 for z. -6 Let v be 135/(-30)*(7 + (-3)/3). Let h be -3 + (-63)/v*3. Solve 11 - 27 = h*w for w. -4 Let h(m) = -m**3 + 36*m**2 - 204*m + 7. Let f be h(7). Solve f = 236*c - 230*c + 24 for c. -4 Let f = -3943 + 3944. Let q(o) = 7*o + 7. Let k(m) = -6*m - 6. Let v(w) = -6*k(w) - 5*q(w). Let h be v(-1). Solve h*j - f = j for j. -1 Let h(n) = n**3 + 6*n**2 - 87*n + 318. Let s be h(4). Solve -s = 7*q - 95 for q. -5 Let f be (-690)/(-90)*(45/20 + 6/8). Solve -f*y + 36*y + 39 = 0 for y. -3 Let i(t) = 6*t + 12. Let s be i(-32). Let u be (6/(-15))/(9/s). Let x(a) = 6*a**3 - a. Let h be x(1). Solve z = h*z + u for z. -2 Let f(p) = -p**2 + 11*p - 23. Let k be (-40)/(-16)*(-36)/(-15). Let h be f(k). Suppose h*w - 15 = 27. Solve -3*n = -w*n + 9 for n. 3 Let h = 472 - 456. Suppose -4*b - 18*k + h*k = -124, k + 58 = 2*b. Solve b*i = 35*i - 5 for i. 1 Let m = 318 + 122. Solve -67*f - m = 21*f for f. -5 Suppose -1553*v + 1554*v - 4 = 0. Let n = -5 - -13. Solve -m = -v + n for m. -4 Let f be -2 + 0 + (2 - -3). Let d(c) = -f*c**3 - 3*c**3 + 7*c**3 - 2*c**3 + 7. Let p be d(0). Solve -2*v + 25 = -p*v for v. -5 Suppose -52*x + 46*x = -43*x + 2072. Solve 3*w = x*w for w. 0 Let r = 27 + -28. Let z be (754/65)/(r*2/20). Let x = 121 + z. Solve -4*f = -x*f + 1 for f. 1 Let d be (-44)/(-2) - (-66 + 61). Suppose 6 = -2*o - 0, 4*k - d = o. Solve -9 = -k*t - 3 for t. 1 Let q be (-1 + -1 - -2)*(2 - 1). Solve 55*s - 188 + 23 = q for s. 3 Let g(n) = -2*n**3 + 236*n**2 + 487*n - 308. Let j be g(120). Solve 0 = -543*h + j*h - 66 for h. -6 Let y(u) = 50*u - 12 - 3 - 17*u**3 + 36*u**3 - 7 - 20*u**3 - 9*u**2. Let v be y(-13). Let f = 1 + -1. Solve -4 = v*x - f for x. -1 Suppose 6*l = 3*l + 6. Let p be (l - 6/(-5)) + 8/(-40). Suppose -s + n + n = 0, -p*s - 2*n + 16 = 0. Solve s = m - 0*m for m. 4 Suppose 0 = -62*s + 105 + 143. Solve 5*w = 2*w + s*w for w. 0 Let j be -10 + 264/21 - (-8)/(-14). Suppose 4*p - 4 = j*d, -4*d + 2*d + 2*p = 0. Solve 5*l + d*l - 35 = 0 for l. 5 Let t(d) be the first derivative of -d**6/360 - d**5/30 + 17*d**3/3 + 1. Let q(k) be the third derivative of t(k). Let o be q(-3). Solve -8 = -b - o for b. 5 Let m = -178 + -135. Let g = 317 + m. Solve -2*p = 2 + g for p. -3 Suppose -z + 5*f - 18 = 0, -3*z + 2*z - 9 = -2*f. Let p be (z/(-6))/(1/(-6)) - -34. Let s = -25 + p. Solve -5 = g - s*g for g. 1 Let x = 110 - 110. Suppose 8*d - 6*d - 16 = x. Solve -10*g - 8 = -d*g for g. -4 Let f be 3/((-24)/(-238)) + 237/(-316). Solve -f*z = -19*z + 40 for z. -4 Let s(u) = u**3 - 103*u**2 + 104*u - 197. Let j be s(102). Solve 28*q = j*q - 126 for q. -6 Let c be (-4)/14 - (-88)/14. Let m(w) = -w**2 - 23*w - 49. Let h be m(-17). Let i = -49 + h. Solve -c - 6 = i*b for b. -3 Let y(f) = 10*f + 290. Let q be y(-3). Solve 0 = 255*n - q*n - 10 for n. -2 Let w = 198 + -162. Suppose -4*i - 8 = -w. Solve 0 = 4*b - 1 - i for b. 2 Let o(f) = 2*f**2 + 2*f - 18. Let x be o(3). Suppose -x*w + 4*y + 4 = -w, -3*w - 5 = 5*y. Solve w = -3*j + 8*j + 25 for j. -5 Let j(c) = c**2 + 3*c + 3. Let g be j(-2). Suppose 0 = -6*z - 14*z. Suppose z = -18*m + m. Solve m = o + g - 0 for o. -1 Suppose 3*q = -x + 8957, -5*q - 7*x + 14917 = -11*x. Solve 0 = 2979*z - q*z + 30 for z. 5 Let c(m) = 10*m**2 - 10*m - 3. Let l be c(-5). Let q be ((-15)/(-4))/((l/36)/11). Solve 0*x + 15 = -q*x for x. -3 Suppose 4*h = 5*b, -2*h + 6*h + 5*b = 0. Suppose -12*w + 114 = 66. Suppose h = -6*a + w*a + 12. Solve 3*d + 0*d - a = 0 for d. 2 Let s(a) = 7*a**3 + 443*a**2 + 132*a + 383. Let x be s(-63). Solve -y - 18 = x*y for y. -3 Let d = -6194 + 6198. Solve l - 3 = d*l for l. -1 Suppose s + 4*u - 3 + 2 = 0, -21 = -5*s - 4*u. Let n = 2421 - 2416. Solve s*i + n + 0 = 0 for i. -1 Let a be ((-94)/6)/(-1) + (-2)/3. Let k be (4 + 20/(-8))*2. Suppose -10*d + 29 = -5*d + k*r, -2*d = 5*r - 23. Solve d*w = 7*w - a for w. 5 Let u(w) = -2*w**3 + 16 + 3*w**2 - w**3 + 9 - 14*w - 11*w**2 + 2*w**3. Let d be u(-5). Solve d*s - 25*s + 20 = 0 for s. 4 Suppose -5*l = -3*j - 40, -2*l = -4*l + j + 15. Suppose 3 = l*i - 12. Suppose i*c + 15 = 8*c.
{ "pile_set_name": "DM Mathematics" }
(-4)*3. Let q be a(y). Solve 11 = i + q*x, -i - x + 5 = -1 for i. 1 Suppose 7*f - 12 = 3*f + 2*i, 3*f = -2*i + 2. Let s(v) = 2*v**3 - 4*v**2 + 3*v - 2. Let j be s(f). Solve 0 = w - 6*w + 5*o + 15, -2*o = -j*w + 12 for w. 3 Let l be (-9)/(-2) + 30/20. Solve 0 = 5*z - 4*r + 2, -3*z + l*z = -5*r + 21 for z. 2 Let d(a) = a**3 + a**2 - 4*a + 7. Let b be d(-3). Solve b = c, -5*g + c - 4*c = -28 for g. 5 Let g(l) = -l**2 - 10*l - 9. Let a be g(-9). Suppose 2*n - 2 - 2 = a. Solve -o = 4*o - 2*b + 11, -2*b = -2*o - n for o. -3 Let h be 3 + (-2)/(-2) + -32. Let j be 6/9 + h/(-12). Solve 4*u - 4 = 4*t, 2*u = -4*t + j*t + 2 for t. 0 Let y = 0 - 0. Let p = y - -1. Let j = p + 1. Solve -28 = 5*f - j*l, -3*l + 7 = -3*f - 17 for f. -4 Suppose 2*y - f - 20 = f, 3*f = y - 4. Solve -5*r = -3*o - y, -o - 26 = -2*r - 5*o for r. 5 Let p = 18 - 14. Solve -p*y = -4*n + 4, 4*y - y + 4*n + 17 = 0 for y. -3 Let s = 25 + -13. Suppose -2*g - g = s. Let w be ((-2)/g)/(5/20). Solve x + 2*l - 11 = 0, 4*x + w*l - 7 - 19 = 0 for x. 5 Suppose o + 2*x - 18 = -3*x, o = x. Solve j = -p + o, 2*j - 1 - 1 = -p for p. 4 Suppose -20 = -5*u + 3*y, -y + 5*y = -4*u + 16. Solve c - 6*c + 14 = 2*o, u*c - 13 = -o for c. 4 Suppose 5*g + 4*j + 10 = 2*g, 0 = -3*j - 12. Solve 0 = 3*b + 4*l - 20, 0 = -2*b + g*l - 6*l + 20 for b. 0 Let t = 26 - 17. Let k be 0 + (1 - 0) + 4. Suppose -3*l = 2*q - 6 - k, -l + 5 = q. Solve t = -2*g + 5*z, 7*g - 2*g - q*z - 3 = 0 for g. 3 Let u(k) = k**2 - 6*k + 3. Let a be u(6). Suppose -4 = 4*s - 12. Let y be ((-8)/16)/(s/(-8)). Solve -b = -y*x - 2*b + a, -8 = -4*x - 4*b for x. 1 Let s = 36 - 22. Solve 3*j - x = s, 5*x + 6 + 4 = 0 for j. 4 Suppose 2*r = -3*a + 12, 0*r + 2*r - 16 = -5*a. Solve a*i = -2*o - 10, 2*i - 6*o + 3*o + 5 = 0 for i. -4 Let h be (-1 + 7/3)*3. Suppose 0*z = z. Let y = 265 + -261. Solve 4*m + y*c = -m + 1, -h*m + 2*c + 6 = z for m. 1 Let b(n) = -7*n**3 + 2*n - 1. Let x be b(1). Let h = x + 11. Suppose -k - 28 = -h*k. Solve 0 = m + 4*p + 24, 10 = -3*m - p - k for m. -4 Suppose 0 = c + 3*c - 28. Let p = 5 - 1. Let n = c - p. Solve -3*m - 3*a = 6, -n*m - 2*a + 1 - 5 = 0 for m. 0 Suppose g - 17 + 5 = 0. Let z = -8 + g. Suppose -z*o + 16 = -0*o. Solve 0 = o*c + 4*r - 8, -5 = -4*c - 0*r - r for c. 1 Let m = -2 - -4. Let o(l) = 0 + 0*l + 1 + 2*l**2 - 2 - 2*l. Let f be o(m). Solve 5 = -2*w - k + 1, f*w - 5*k = 20 for w. 0 Suppose 3*b + 18 = 5*b. Let v = -7 + b. Solve -2*z + 6 = -z - v*q, -5*z = -q + 6 for z. -2 Suppose -2*c = c - 171. Suppose 3*y - 3 = c. Suppose 2*z = 7*z - 20, -14 = -5*q - z. Solve 0 = 2*g + 2*r + y, q*g = -2*g + 2*r - 10 for g. -5 Let o = 11 - 22. Let q = o - -13. Solve -2*m - q*m = -5*p + 26, 0 = 5*p + m - 6 for p. 2 Suppose -4*x - 9 = -5*k, -5*x + 3*k = -k. Solve -l - y = -0*l, 0 = 5*l - x*y - 36 for l. 4 Let m(w) = w**2 - 8*w + 15. Let z be m(6). Solve -5*h - 25 = -0*h - z*y, 22 = -h + 4*y for h. -2 Suppose -f + 7 = 2*y - 2*f, 0 = y - 5*f + 10. Solve 15 = -4*w + y*g, 2*g = 2*w + g + 9 for w. -5 Let j = 29 - 16. Let f = 3 - 2. Let q be ((-6)/(-2))/f - -2. Solve -q = u, 0*m - 3*u = -m + j for m. -2 Let x(v) = -8*v**2 + 5*v + 4. Let o be x(4). Let t be 8/(-20) - o/10. Solve 20 = 3*d - 4*m, 0 = -3*d - 3*m - t - 5 for d. 0 Let o be ((-4)/(-3) + -2)*3. Let y be (-460)/(-36) - o/9. Let t(p) = -p**2 + 5*p + 10. Let x be t(6). Solve 3*j - y = g - 0*j, -3*g + 13 = x*j for g. -1 Let y(v) = 6*v**2 - 3*v + 2. Let c be y(1). Solve 0 = -2*t + 5*h - 16 - 3, 4*t + c*h = 37 for t. 3 Suppose -k - 25 = -6*k. Solve 6*j = 4*j + 3*r + 2, 0 = k*j + 3*r - 5 for j. 1 Suppose 0 = 2*v - 5*v + 2*r + 11, -20 = 5*r. Solve 4*l - 2*o + 4 = -0, o + v = l for l. -3 Suppose 1 = -4*o + 9. Suppose -4*m - 6 = 2*r + 2, o*r + 3*m = -5. Let y(a) = -a - 2. Let j be y(-2). Solve v = -3*i + r*v - 5, j = i + 5*v + 23 for i. -3 Let t(l) = -l**3 + l**2 + 4*l - 1. Let j be t(-3). Let v = 23 - j. Solve -3*n + 5*m - 15 = -v*n, -n + 2*m - 5 = 0 for n. -5 Let j be (-2)/11 - 8/(-44). Suppose j*w + 4 = w. Solve -3*q = r - 11, 0 = w*q + 3*r + r - 12 for q. 4 Let s(n) = -n**3 - 3*n**2 + 4*n + 4. Let p be s(-4). Suppose -p*d = -0*d - 80. Solve -a + 5*a - 4*c + 16 = 0, 0 = -5*a + 4*c - d for a. -4 Let h(x) = 3*x**2 + 13*x + 6. Let b be h(-5). Solve 2*n + 14 = -3*k, 2*k = -k - 4*n - b for k. -4 Let n(h) = 6*h + 7. Let u(s) = -9*s - 10. Let v(i) = -7*n(i) - 5*u(i). Let b be v(1). Solve -g + b*k + 20 = 0, 5*g = 4*k - 0*k + 36 for g. 4 Let s = 19 - 11. Let r(a) = -a**2 + 8*a + 3. Let b be r(s). Solve 3*c - 3 - 5 = 2*t, b*t + 4*c - 5 = 0 for t. -1 Let d be (-1 + 4)/(-3)*1. Let k be (-6)/(-3) + d + 4. Suppose 2*z = 3*z - k. Solve -2*o + v = -0*o - 1, 2*o - z = -3*v for o. 1 Let j be 100/(-30)*3/(-2). Let b be j/(-5) + 1 + 4. Solve 0 = -2*d + b*i + 30, 0 = d - 5*i - 9 - 21 for d. 5 Let n(d) = -d + 2. Let z be n(0). Suppose -3*a = -2*f + 1, z*f + 2*a + 3 - 9 = 0. Suppose 3*k - 14 + f = 0. Solve k*g + 20 = 4*q, 4*q - 23 - 1 = 5*g for q. 1 Let z(w) = -w**2 - 3*w + 4. Let l(f) = -f**2 - 4*f - 3. Let y be l(-4). Let x be z(y). Solve x*n - 1 = -2*p - 5, -5 = -5*n for p. -4 Let q = 9 + -6. Suppose 4*h + 7*x - 2*x = -2, 3*h = q*x + 12. Suppose -h*d - 5 = -17. Solve -12 = g + 4*z, 2*z = -6*g + g - d for g. 0 Let i be 2/2 - (24/4 - 7). Let a be (6/(-5))/(2/(-5)). Solve -i*f - 1 = t + a, t + 3*f = -8 for t. 4 Let w(q) = q - 2. Let l be w(6). Let s be 1/3 - 123/(-9). Suppose -4*f = -s + 2. Solve 4*b + 21 = g, l*g - 20 = f*b - g for b. -5 Suppose 26*t = -r + 22*t + 16, -5*r = -4*t + 16. Solve r = 2*d - 5*k - 5, -2*d + 1 - 6 = 5*k for d. 0 Suppose 3*t - 74 = -23. Let l = 26 - t. Solve -l - 7 = -4*m - 2*k, -m + 2*k = -4 for m. 4 Let f = 6 - 5. Let t be ((-1 + 25)/(-3))/(-2). Suppose 1 = t*v + 2*p - f, 5*p + 23 = 4*v. Solve -28 = -4*l + 5*y - y, v*y = -5*l for l. 2 Let d(p) = -10*p - 4. Let u be d(-2). Suppose u = 8*k - 4*k. Solve 4*f + c - 3 = 0, -3*f - 3*c + k*c + 11 = 0 for f. 2 Let w be (-34)/(-8) + (-1)/4. Let i(t) = -3*t**2 + 3*t - 2. Let v be i(-3). Let d be (v/(-2))/(1/1). Solve -2*u = w, -3*u + 0*u + d = -5*f for f. -5 Let n(x) = x**3 - 7*x**2 + 8*x + 6. Let v be n(6). Suppose -5*o - 6*h + 4*h + 21 = 0, -2*o + 4*h = -v. Solve -3*q - 3*k - k - 5 = 0, -o*k = 5*q for q. 5 Suppose 5*w = 28 + 47. Suppose r = 4*q + w, 11 + 10 = 5*r - 2*q. Let n = 47 - 46. Solve -5*u = s - 15 + n, 0 = -u + r for s. -1 Let p be (-2)/8 + 14/56. Solve g = u + 2, p = -5*g - 4*u - 2 + 3 for g. 1 Let f(g) = g**3 + g + 2. Let o(q) = -q**3 - 4*q**2 - 4*q - 1. Let r be o(-3). Let w be f(r). Solve 3*b = w, -5*i + b + 0 = -1 for i. 1 Let v(u) = -u**3 - 11*u**2 - 2*u - 16. Let z be v(-11). Suppose 0 = 3*f - 2*q - 23, -q = 2*f - 0*q - z. Solve 2*x - 25 = -3*m, f*x + 0*x - 30 = -m for m. 5 Let j(u) = -4*u - 3. Let z be j(-2). Suppose -2*s = z - 17. Solve 3*c = -2*i + s, -4*c = -c for i. 3 Let j(t) = -t - 5. Suppose -u - u = -6. Suppose -22 = 2*k + u*d, -3*k - 32 = 2*k - 4*d. Let g be j(k). Solve c - 2 = -4*a, -3 = -g*c - 4*a - 5 for c. -2 Let n(k) = k**3 - 4*k**2 - 4*k - 1. Suppose 2*x - 5 = -3*x, 0 = 5*v + 2*x - 27. Let f be n(v). Solve -5*h - 7 = -4*i, 3*i - 4*h - f = 2 for i. -2 Let m(f) = 0*f**2 - 2*f**2 + 4*f**2 - 2*f. Let l be m(2). Solve 3*p - 5*w + 21 = 0, -3 = -l*w + 9 for p. -2 Let a(k) = 3*k**2 + 4*k + 4. Let i = -3 + 0. Let z be a(i). Solve -4*l + z = b, -2*l - 3*b + 17 = 2*l for l. 5 Suppose 74 = 3*s - m, 0*m = -2*s + 2*m + 52. Suppose 5*p + 3 - 23 = 0. Let o be (5/(-2))/((-2)/p). Solve -r - 21 = 4*r + 2*z, 3*r = -o*z - s for r. -3 Suppose 0 = 3*i + 3*i. Solve -15 = -5*t + j, i = t - 2*t - 5*j + 29 for t. 4 Let s(p) = p**2 - 4*p - 2. Let h be s(6). Let t be (-4)/10 + 44/h. Let z = 13 + -11. Solve -t*i - w - 12 = 0, -36 = 5*i + z*w - 6*w for i. -4 Let b be 18/4 + 6/(-12). Solve -5*s - 20 = -0*v + b*v, 5*s - v + 20 = 0 for s. -4 Let m be 4/14 + (-645)/(-21). Solve 0 = 2*u - 5*b - 30, 3*b + b = 3*u - m for u. 5 Let p(n) = 2*n - 6. Let l be p(4). Suppose -2 = -i - 3*g - l*g, 4*i = -g + 8. Solve -4*d = 4*o - 18 - 18, -d + i*o - 3 = 0 for d. 5 Let s be ((-2 - -1) + -3)/1. Let i = s + 3. Let t(x) = -17*x. Let p be t(i). Solve -z - 4*z + 21 = -y, -5*z - 3*y = -p for z. 4 Suppose -4 = -0*f - f. Solve 3*v + g = 12, 0*g + f*g = 5*v - 37 for v. 5 Suppose 0*s - 2*s + 2*d = -4, -3*d + 4 = 2*s. Let y(c) = 8*c - 1. Let o be y(1). Suppose
{ "pile_set_name": "DM Mathematics" }
76? r Let g(l) = 3*l**2 - 58*l + 109. Let i be g(13). Is i <= -139? False Let t = -19 - -19.17. Let y = 0.03 - t. Let u = 0.04 + y. Is u bigger than -1? True Let z be 1*(5 - (-3)/(-3)). Let q be (3 - (z + -4)) + -2. Is q != 1/28? True Let o be -8*28/72 + 3. Are o and 0.1 unequal? True Let o = 639371/165 + -3875. Is -3 equal to o? False Let p be 10744/(-187)*((-20)/(-16) + -1). Which is greater: p or -1/3? -1/3 Let r be ((-1)/(-3))/((-42)/81*9). Is 58 not equal to r? True Let p be 154/(-35) - 6/10. Which is bigger: p or -11? p Suppose 10 = -2*p, -n + 4*p = 2*p - 9. Which is bigger: n or -7/18? -7/18 Let y(g) = 321*g - 117. Let d be y(-1). Are d and -440 equal? False Suppose -5*n - 1 = 4. Suppose 4*u + 151 = -3*d, -2*u + 3*u = 2*d - 24. Let a be u/5 - (-12)/(-60). Does a = n? False Let j(w) = -64*w + 192. Let f be j(3). Does -5/139 = f? False Let j be ((-736)/(-20))/8 - (-8)/20. Which is bigger: j or 52/11? j Let b = 155 - 149. Is b equal to 10? False Let n = 973.8 + -975. Which is greater: -1 or n? -1 Suppose w + 110 - 112 = 0. Is w less than or equal to -79? False Suppose 155 = -14*f + 925. Is f > 55? False Let b(m) = 6*m - 2*m + 3 - 3*m + 4. Suppose 2*l - 3*s + 17 = -12, 4*s - 27 = l. Let h be b(l). Which is greater: 3/5 or h? 3/5 Let d be 8/(-12) - 68/6. Let m be (6/d)/(1/(-10)). Suppose 0 = -m*n + 11 - 1. Is n >= 1? True Let g(a) = a - 5. Let k be g(3). Let j be ((92/136)/1)/((-3)/2). Let d = -926/357 - j. Do d and k have the same value? False Let m(s) be the third derivative of 0 + 0*s - 1/24*s**4 - 19/6*s**3 - 2*s**2. Let c be m(-13). Is c less than -6? False Let z = 134.3 - 62.4. Let q = 72 - z. Is q greater than or equal to -0.3? True Let o = -0.002 + 18.002. Let w = -15 + o. Is w at least as big as 0? True Let o(x) = -x - 13. Let l be o(-13). Suppose -m - m - m = l. Is m not equal to 10/23? True Suppose 2*m - 72 = -24. Let o = -23 + m. Which is smaller: o or 0.8? 0.8 Suppose 0*w = -w. Let t be 10/4*(-8)/(-240). Is t >= w? True Let w = 15.27 + -0.27. Let u = -460.2 + 444. Let f = u + w. Which is smaller: f or -2/7? f Suppose 4*o - 8 = o - 2*g, 0 = -5*o + 3*g + 7. Let n be -1 + (2 + -2)/o. Let a be -1 - 5/((-45)/12). Is n > a? False Let q be 38/(-300) - 49/(-294). Which is smaller: 0 or q? 0 Let u = -10 + 19. Let c = u + -8.86. Let z = 0.15 - c. Is z greater than -1? True Let i = 0 - -2. Suppose 52 = 13*p - 0. Suppose p*l - l = 4*t + 15, -3*l + 6 = -t. Which is greater: i or l? i Let m(u) = -12*u**2 + 1. Let n be m(-1). Let g = -6 - n. Suppose l + 20 = g*l. Which is smaller: -1/4 or l? -1/4 Let j = -84 - -98. Let q(c) = c + 7. Let l be q(8). Which is smaller: l or j? j Let t(n) = 2*n**3 - 7*n**2 - n + 10. Let g(k) = -k**3 + 4*k**2 - 5. Let z(x) = -9*g(x) - 4*t(x). Let b be z(7). Which is smaller: b or -15? b Let c be (-84)/(120/10) - (-3 + -1). Let x(v) = -v + 1. Let f be x(5). Which is smaller: c or f? f Suppose 27 = -z + 4*z. Suppose 0 = -3*c - z - 3. Which is greater: -5 or c? c Let m(z) = -5 + 1 + 2*z + 0 - z. Let n be m(-17). Which is greater: n or -19? -19 Suppose -4 = -4*h - 0. Let w be (-2)/(0 + (h - -4)). Let k(o) = -o**3 + o**2 - 2*o. Let z be k(0). Which is greater: w or z? z Let y be (-18)/(-4)*(-2)/42. Suppose 0 = -n - 2*n - 54. Let x be (-1 - 1/(-3))/(n/(-27)). Is y at most x? False Let y = 3466.989 + -3471. Let c = -0.011 - y. Which is bigger: -1/5 or c? c Let b = 61 + -61. Suppose 4*d - 98 - 18 = b. Is 29 greater than d? False Let a = -5 + 13. Let g(x) = a - x - 7 - 4. Let y be g(-2). Is -0.05 greater than or equal to y? True Let t be 70/(-8)*(-4)/(-6). Let m = 428 + -434. Which is greater: t or m? t Let s(p) = 10*p + 52. Let a be s(-5). Let i(v) = v**2 + 6*v + 5. Let d be i(-5). Is d at most as big as a? True Let w = -19975 - -398821/20. Let h = 34 + w. Which is greater: h or 0? h Let u be -2 + -1 - (-459)/9. Suppose u - 13 = 7*k. Which is smaller: 1 or k? 1 Let m = 301 + -303. Let d = 3.7 + -4. Which is smaller: d or m? m Let n(v) = v**2 + 10*v - 7. Let h be n(-8). Let w = 74 - 172. Let r = w - -76. Do h and r have different values? True Let t be (-482)/(-140) + 4/(-14). Let x = t + -20/7. Which is bigger: x or -1? x Let h = 5 + -5.02. Let k = -1.42 - h. Let v = k + 1.5. Which is smaller: v or 10? v Suppose 14*v = 2*g + 10*v + 318, -2*g + v = 306. Which is smaller: g or -152? -152 Let p(w) = w**3 + 8*w**2 - 28*w - 34. Let i be p(-10). Do 45 and i have the same value? False Let o = 20.19 - 1.19. Which is smaller: 0 or o? 0 Let r = 0.27 + -0.09. Let m = 0.27 - r. Which is smaller: m or 0? 0 Suppose -4*q + 2*w = -14, 5*q + 0*w = -w. Let a be 92/(-84) + 1 + 1220/(-420). Let z be a + q + (10 - 1). Which is smaller: 8 or z? z Let j = -58 + 61. Let m be (-2)/j*-2*(-1)/4. Is m less than 0.31? True Let c be 3*3/((-18)/2). Which is smaller: 1/271 or c? c Let f = 5.23 - 0.93. Do -3 and f have different values? True Let q(t) be the second derivative of t**5/20 + 11*t**4/6 - 11*t**3/3 + 13*t**2 + 6*t. Let h be q(-23). Let m be (-10)/4*8/(-10). Which is smaller: h or m? m Let t = 10/1053 - -224/1053. Let k be (2 - -2 - 1)/4. Which is smaller: k or t? t Let y = -2597/8 + 325. Let q = 39.3 - 39.4. Is y <= q? False Let n be 0 + 2 + (-8)/5. Let l = -0.03 + -0.17. Is n less than l? False Let o(p) = -6*p - 2. Suppose 4*v = -2*s - 8, s = -v - 3*s - 2. Let z be o(v). Suppose 4*f - 25 = 2*w - 7*w, f = 2*w - z. Is f < 3/10? True Suppose 7*w - 2*w - 25 = 0. Suppose -w*t + 3*t = -22. Suppose -12 = -3*u, 2*y + u - 4*u - 8 = 0. Is y at most t? True Suppose 4*c = 4*m, c = -m - 0 + 6. Suppose 172 = -5*b - o, -4 = c*o + 2. Is b at least -34? True Let z be (6/(-7))/((-6)/(-4)). Suppose -4*j - 18 = -5*p, 2*j + 2 - 4 = -3*p. Which is smaller: z or j? j Let o = -3 + 4. Let n(i) = -i**3 + i. Let q be n(o). Let u be 1/(-5)*45/(-54). Which is smaller: u or q? q Let t = -17 - -20. Let p be 0 - (0 + t/12). Let j be 1/(-3) - (-8)/6. Is p not equal to j? True Let z = 486 + -857. Let h = -1088/3 - z. Which is bigger: h or 8? h Let r = -1 + -1. Let u = -15.954 - -16. Let q = -2.954 - u. Which is greater: q or r? r Suppose 0*u = -2*u. Suppose u = 4*p + 59 - 3. Let y be 4/p - 216/224. Which is bigger: 0 or y? 0 Let q be ((5 + 0)*-79)/1. Is -394 < q? False Let r = -4 + -1. Let a = 0.06 + 1.94. Let g = a + r. Which is smaller: g or 1? g Let t(g) = 822*g**3 + 4*g**2 - 5*g + 1. Let m be t(1). Which is smaller: 823 or m? m Let p(l) = -l**3 + 7*l**2 - 5*l - 8. Let a be 4 + (-2 - -3) + -2. Let c = 3 + a. Let x be p(c). Are -7/4 and x equal? False Let o = -366 - -8416/23. Let z = -10 - -11. Let x = z - 1. Is x not equal to o? True Suppose 0 = y - 6*y - 15. Let x be (714/(-20))/((-1188)/(-110)) - 2/8. Is y > x? True Let s = -39 - -41. Let b = -1774/21 - -473/6. Let g = 50/7 + b. Is s > g? True Let o = 330 - 342. Suppose 2*y = 5*y + 39. Is y at least as big as o? False Suppose c - 34 = 4*q - 12, 3*c = q + 11. Let r(v) = v**2 - 4*v - 2. Let y be r(4). Let p be (y/(27*c))/(-1). Is 0 > p? False Suppose 5*u - 7 = -3*y + 77, -5*y + 3*u + 174 = 0. Are 18 and y equal? False Let h = -331 - -329. Which is bigger: h or -15/13? -15/13 Suppose 0 = -9*o + 17*o - 72. Is o at most -1.2? False Let g(w) = -4*w**2 - 17 + 3*w**2 + 18 - 4*w + 5*w. Let s be g(0). Which is smaller: -2/5 or s? -2/5 Let u = -5419571/54 - -100369. Let s = u - 13/2. Is -1 less than or equal to s? True Let b be 320/18 - (-4)/18. Let d = 17 - -29. Let i be b/45 - d/40. Is i < 2? True Suppose -5 + 2 = -4*d + 5*h, -3*d + 3*h + 3 = 0. Which is bigger: 12 or d? 12 Let f(u) = -3*u - 11. Let c(s) = s + 6. Let p(t) = -9*c(t) - 4*f(t). Let k be p(12). Is 24 < k? True Suppose -2*f - 2*f = -16. Let h be (80/(-11))/f + 2. Let d be 0 + -3 - (-3 - 1). Is h > d? False Let n = 17 - 18. Let o = -20656/11 - -1880. Which is smaller: o or n? n Let y = -278/9 + 4546/153. Is y at least -2? True Suppose 4*d + 8 = -f, -2*d - 29*f + 2 = -30*f. Do d and 1/169 have the same value? False Let y be (-1 + 0)/(19/2). Let l = 676.1 - 676. Is y >= l? False Let a be ((-1207)/(-71))/(1/3). Which is smaller: a or 47? 47 Let b(c) = 2*c + 46. Let q be b(-14). Let r be (18/16 - 3)/(q/24). Which is greater: -1/6 or r? -1/6 Suppose u + 25 = 6*u. Let y(x) = -x**2 - 12*x - 8. Let a be y(-11). Suppose -2*s + 0*s + 11 = a*p, 0 = 3*p - 3*s - 21. Is p less tha
{ "pile_set_name": "DM Mathematics" }
(-77)/21 and u? 10 Let w(c) = -7 - 5*c - 4*c + 14*c. Calculate the lowest common multiple of w(5) and 8. 72 What is the common denominator of 91/4 and -2 + -1 + 292/44? 44 Let x be 6 - 3 - (0 - 0). Suppose -x*o + 58 = -77. Suppose 0*n = -3*n - o. What is the common denominator of n and -103/10? 10 Suppose -5*r + 8*r = 21. Calculate the lowest common multiple of r and 6. 42 Let o(b) be the third derivative of b**4/24 - 7*b**3/6 + b**2. Suppose -4*z + q + 21 = -15, 2*q + 45 = 5*z. Calculate the lowest common multiple of 11 and o(z). 22 Suppose 5*x + 5*a = 4*a + 75, -5*x = 2*a - 70. What is the least common multiple of 22 and x? 176 Let i = 562 - -12. What is the common denominator of (i/21)/(-5 - 1) and 15/2? 18 Let k be (-15)/(-9)*2591/(-2). Let i = -2165 - k. Calculate the common denominator of i and 137/6. 6 Find the common denominator of (-53)/(-18) + 1 + (-12)/(-24) and -81/4. 36 What is the common denominator of -97/4 and 2*3/18 + 414/81? 36 Find the common denominator of -29/8 and (-1)/(1 - 223)*3234/(-44). 296 What is the least common multiple of (12/(-15) + 1)/(1/5) and 9? 9 Suppose 0*r = -3*r + 9. Suppose 5 = 6*v - 5*v. Calculate the smallest common multiple of v and r. 15 Suppose 28 - 10 = n. Calculate the least common multiple of 22 and n. 198 Let q be (24/30)/((-4)/110). Find the common denominator of -89/2 and (-14)/(-7) + (-62)/q. 22 Let c = 2939 + -88181/30. Find the common denominator of -41/15 and c. 30 Let r be ((-7)/14)/((-1)/4). Suppose r + 0 = k. What is the smallest common multiple of 1 and k? 2 Suppose 0 = -5*j + 5*f + 130, 6*j + 5*f - 150 = j. Let b = 948 - 4771/5. Calculate the common denominator of (j/6)/(60/63) and b. 10 What is the lowest common multiple of 5 and 39/4 + 2/8? 10 Let j = 1267/68941 + -3/3884. What is the common denominator of -43/4 and j? 284 Let c(h) = -h**2 + 3*h. Let q(x) = x + 1. Let y(z) = -c(z) + 2*q(z). Calculate the least common multiple of y(2) and 11. 44 Let j be 30/64 + (-2 - -2). Let n be (-10137)/3360 + (-2)/(-7). Let v = j - n. Find the common denominator of v and -41/4. 20 Let n(y) = -2*y + 22. Calculate the smallest common multiple of 12 and n(10). 12 Suppose 4*x = 4*s - 16, -5*x = 3*s + 31 - 11. Suppose -2*v = a - 13, s*a - a + 13 = -2*v. Calculate the lowest common multiple of 11 and a. 143 Let y(n) = 5*n**2 + n. What is the smallest common multiple of 12 and y(-1)? 12 Suppose 2*x - 14 = -4. What is the lowest common multiple of 8 and x? 40 Suppose -34 = -4*p - 3*g, 0*p - 3*p = -2*g - 17. What is the lowest common multiple of 8 and p + (0 + 2 - 3)? 24 What is the smallest common multiple of 6 and (((-4)/(-2))/6)/((-8)/(-240))? 30 Let f = 14027 - 280649/20. Calculate the common denominator of f and (-2 + 1)*(-53)/(-6). 60 Let z = -135815/46224 + 2/2889. Find the common denominator of z and 35/16 + 2/(-8). 16 Let p(s) = s + 1. Let z be p(-3). What is the smallest common multiple of z/(8/(-10))*4 and 10? 10 Let y = 27 + -17. Suppose -7 = -9*a + 2. What is the least common multiple of y and a? 10 Let s(r) = -r**2 + r + 1. Let y be s(2). Let f be (y - 1)*-1 - -871. Find the common denominator of -105/22 and (-8)/6*f/(-24). 22 Let x = 4131 - 24893/6. Calculate the common denominator of ((-2)/4)/((-4)/6) and x. 12 Let y(l) = l**3 + 9*l**2 + l - 12. Let g be y(-9). Calculate the common denominator of 97/10 and 387/105 + 6/g. 10 Let d = 16/885 + 7529/2360. Calculate the common denominator of d and -179/30. 120 Suppose 0*x = 2*x - 8. Suppose 2*l = x + 4. Calculate the lowest common multiple of 6 and l. 12 Let w = -848 + 5923/7. Calculate the common denominator of w and (-131)/(-18) + (-1)/(-2). 63 Let s be (-3 - -2) + (-47032)/28248. Let a = s + -2/1177. Find the common denominator of a and (7 - 1)*12/(-22). 33 Suppose 5*s - 6 = -6*x + 2*x, -2*x = s. Suppose s*h - 28 = -0*h. Calculate the lowest common multiple of 14 and h. 14 Let f be 1 - 2 - 2/2. Let z be (3/f)/((-9)/48). Suppose 7 + z = 3*c. Calculate the smallest common multiple of 3 and c. 15 Let m = -65947829387/15862197414 + -10/8035561. Let z = m + -3/329. What is the common denominator of -32/3 and z? 6 Let z = 4739/270 + -239/27. What is the common denominator of z and -73/22? 110 Let y(t) = -t**2 + 13*t - 23. What is the smallest common multiple of 6 and y(8)? 102 What is the common denominator of 56/5 and 3*(-1)/(10/(-34))? 5 Let z = 865/2256 + -10/141. Find the common denominator of z and 67/18. 144 Suppose 16 = 2*c - 5*p - 1, -2*p = 3*c - 16. Let d(z) = z**2 - 3*z. What is the smallest common multiple of d(c) and 4*1/((-2)/(-5))? 90 Let i = -20597 + 864979/42. What is the common denominator of i and -7/54? 378 Suppose -3*s - 2*u + 30 = 0, -u + 2 = s - 8. Suppose 205 = 6*o - o. Let g = o - 19. Calculate the smallest common multiple of s and g. 110 Let s = 6 + -10. Suppose -6*r + 160 = -14*r. Calculate the common denominator of (-178)/r*2/s and -29/4. 20 Let a(w) = -w**3 - 6*w**2 + 5*w + 4. Calculate the least common multiple of a(-7) and 4. 36 Let r = 41 - 25. Suppose u = -0*u + 11. Calculate the smallest common multiple of u and r. 176 Suppose n - 2*n + 1 = 0. Calculate the least common multiple of n and 7. 7 Let l = -125483/6 - -25185. Suppose -r + 6*r = 21455. Let s = l - r. What is the common denominator of s and -113/6? 6 Suppose 5*s = -j + 49, 0 = 3*s + 3*j + 3 - 42. What is the least common multiple of s and 10? 90 Let b(o) = -o**2 + 6. Let a be b(0). Calculate the common denominator of -65/2 and (-71)/(-6) + -6 + a. 6 Suppose 0*i - 2*i + 120 = 0. Find the common denominator of 131/12 and 802/i + (-3)/15. 12 Suppose 2*x + x = 3. Let b be (3*x)/(1/4). Suppose -t = -b - 2. What is the least common multiple of 16 and t? 112 Find the common denominator of 22/4*-5 - (-1 - -2) and 157/150. 150 Calculate the smallest common multiple of (-30)/(-1) - (-5 + 3 + 3) and 6. 174 Calculate the common denominator of 101/16 and ((-11)/(-88))/((-4)/22). 16 Let a(b) = b + 8. Suppose -18 = -0*x - 3*x. Suppose -50 = -x*f + f. What is the least common multiple of f and a(-6)? 10 Let h = 83 + -56. Let s = -4 - -8. Suppose d = w - 16, w - h = s*d + 31. Find the common denominator of d and 127/6. 6 Let l be 61/(-6) + (-2)/(-12). Let t = 59573/8 + -7435. What is the common denominator of t and 1263/(-30) - (-4)/l? 8 Calculate the common denominator of 2037/14*(-2 - 14/(-6)) and (-38)/8 + 1/(-3). 12 Suppose -2*u - 2 = b - 7, 5*u + 2*b = 12. What is the smallest common multiple of 11 and u? 22 Suppose -2*i - 33 = -5*i. Let p = 24 + -16. Suppose 4*u - p = 12. What is the least common multiple of u and i? 55 Let u = 22/19 - 291/38. Find the common denominator of 29/26 and u. 26 Let c = -4/208301 - -470630/2813521607. Let l = c - -1364191/108056. Let w = -8976 - -197537/22. Find the common denominator of w and l. 88 Suppose -a - 2*n - 337 = 270, 0 = 5*a + n + 3062. Let q = -2433/4 - a. What is the common denominator of -117/14 and q? 28 Let v be (-7164372)/(-40)*(-215)/(-18908). Let a = -3/9454 - v. Let c = a - -2034. What is the common denominator of -13/8 and c? 8 What is the least common multiple of (4/(-16)*6)/((-3)/6) and 8? 24 Calculate the common denominator of 145/18 and (-381)/(-180) - 1/(-3). 180 Let p = 7/128 + 6059/384. Calculate the common denominator of 31/76 and p. 228 Calculate the common denominator of 2970/300*(0 - -5) and (-478)/(-120) - (-2)/(-6). 20 Let b = 30 + -14. What is the least common multiple of 8 and b? 16 Let v(r) = r + 12. Let a be v(-10). Let u be 147/a*436/(-1560). Let p = -46/65 + u. Find the common denominator of p and 59/14. 28 Let f be 4 - (2 - -1) - 5645. Let r be (-10)/(-35) - f/(-7). Let u = r - -4799/6. Calculate the common denominator of u and 6/11. 66 Suppose -2*k = 2*n + 15 - 89, n = -4*k + 37. Let z = n + -53. Calculate the lowest common multiple of 12 and (-114)/(-8) + 4/z. 84 Let o(u) = 13*u**2 - u. What is the least common multiple of 18 and o(1)? 36 What is the common denominator of (-73)/4*70/175 and -19/3? 30 Suppose -g + 39 = 2*g. Suppose -5*b + g - 3 = -5*i, -3*b = 2*i - 6. Calculate the least common multiple of (0 + 1)*2/1 and b. 2 Suppose -5*n = -5, -b + 5*n - 57 = -3*b. What is the lowest common multiple of b and 12? 156 Let h = 9617/8 - 1200. Let b = -2814151 - -1238225243/440. Let m = b - 51/
{ "pile_set_name": "DM Mathematics" }
51 + -127 + 132 + 1 + -14. 42 What is the value of -30 + 22 + -33 + 37 + 32? 28 What is -8 - (-20 - -5) - (13 + 8 + 12)? -26 -43 + 38 - (5 + 1) - -14 3 What is the value of 15 - (38 + -42 - ((0 - -1) + -5 + 10))? 25 72 - ((-14 - (-31 + (1 - -9))) + -1) 66 (384 - 386) + 0 + (-1 - 2) + (-16 - -104) 83 What is the value of 0 + 4 - (2 - -3 - 0) - (-3 + 8)? -6 Evaluate 3 - -12 - (-9 + (56 - 1) - 28). -3 What is the value of 32 - (-33 + 59) - (2 - (-1 - 34))? -31 Calculate 5 - 13 - 9 - (-30 + -69 + 17). 65 What is -21 - ((-17 - -23 - 15) + -9 - 12)? 9 What is -12 - ((22 - 29 - -14) + -17)? -2 Calculate 14 + -22 - 29 - -4 - 21. -54 Calculate (41 - -1) + (-92 - -72). 22 What is the value of 36 + (23 - 57) + 12 + -51? -37 Evaluate (-4 - ((0 - -3) + -4)) + -37 + (57 - 29). -12 Evaluate 10 + (6 - 27) + 0 + 7 + -3 - -53. 46 What is the value of 1 + -7 + 0 - (3446 + -3448) - -48? 44 What is 5 - 7 - (-40 + 53 - -28)? -43 Evaluate -82 - (52 + (-278 - -121)). 23 What is the value of -8 + 1 + -9 - (-12 + 12 + 5)? -21 Calculate 11 + (-18 - -40 - 44). -11 What is -14 + 85 + 26 - 54? 43 Evaluate -13 + 0 - (-6 + (-18 - -24)). -13 What is 108 - (-67 + 58 - -55)? 62 Evaluate 20 + 5 - (-10 + 35) - -29. 29 (10 - -5) + -6 + -50 + (5 - (1 + 7)) -44 What is the value of (-19 - -13) + (-9 - -81) - -1? 67 What is the value of 23 + -12 - (6 - 5) - 12 - (2 - -6)? -10 Calculate -59 - -40 - (-6 + -9 + -71). 67 What is the value of (4 - 1) + -1 - (14 - -33) - (127 - 117)? -55 -6 + -29 + -24 + 37 + 113 91 What is 104 + 21 - (-76 - -72)? 129 What is 18 - (-14 + -28 + 4 - (-3 + 1))? 54 Evaluate 17 - ((21 - (7 + 9 + -15)) + -33). 30 -6 + 10 + -15 + (-4 + 31 - (-2 + 1)) 17 What is the value of (-20 - 14) + (99 - 119)? -54 Calculate -25 + 11 + (-9 - -16) - (1 + -3) - -19. 14 Calculate (117 - 1) + (-61 - (8 - (29 - -4)) - -27). 107 Evaluate 30 - (16 - -16 - -2). -4 What is (2 - (3 + -5)) + (-9 - (-63 - (-9 - -6)))? 55 Evaluate 31 + 43 + -57 + -1. 16 What is the value of 39 - 3 - (-37 + -58 - -109)? 22 Calculate (-1 - ((-22 - 3) + -30 + 43)) + 36. 47 Calculate 34 + -2 + -6 + -27. -1 What is -1 - 63 - (5769 - 5818)? -15 What is -76 - (2 + 2 + -3 + 13 + (-4 - 2))? -84 What is the value of (2 - 0 - -3) + 62 + -30 + (4 - 18)? 23 Evaluate -32 - (41 + -62 + 60) - (-3 - 0). -68 Calculate -512 + 459 + (91 - -1). 39 Calculate -11 + 27 + -42 - -20. -6 Calculate -5522 + 5516 - (1 + -2 + 45). -50 What is 9 + -47 - -52 - (1 - 32 - 1)? 46 10 + (-1 - 4 - (-36 - (-141 - -50))) -50 What is (-2 + (23 - 18) - -4) + 49? 56 Evaluate (-8 - 0) + (4 - 22 - -46). 20 Calculate 178 + -199 - ((5 - 5) + -26). 5 Evaluate (-47 - -2) + -8258 + 8380. 77 Evaluate (-27 - (-9 + (3 - -4) + -3)) + (-28 - -24). -26 What is the value of -185 + 240 - (49 + -3)? 9 Evaluate 268 + -148 + -140 + -95. -115 85 + -26 + 5 + 2 66 Evaluate (-109 - -72 - -45) + -3 + -15. -10 -986 + 1035 - (5 - 98) 142 What is (63 - 55 - -29 - -65) + (-20 - 1)? 81 1 + (-10 - 11) + 32 12 Evaluate -2 + -20 + (-48 - 27 - -87). -10 Calculate 1 + -4 - (-21 + (-19 - (-24 - -32))). 45 Evaluate 35 + -19 + -11 + 18 + -9. 14 Evaluate 25 + (35 - 88) - 3. -31 Evaluate -144 + 36 + 38 + 148. 78 What is the value of 49 - (-7 + 29 + -9 + -15 + -3)? 54 What is the value of 61 + -55 - (3 + 0) - 17 - -123? 109 What is 105 + -52 + -45 + (1 - 16) - 13? -20 40 - ((31 - 3) + -177 + 155) 34 What is the value of 1712 + -1677 - (-1 + (-2 - -38))? 0 What is the value of (-3 - -31) + (382 - 334) - ((12 - 3) + 2)? 65 Calculate 2 + 4 + (33 - -11 - -8) + -8 + 3. 53 -9 + -5 + 7 + -5 + 46 + -6 28 Evaluate (0 - 11) + (139 - (335 + -148)). -59 Calculate 60 + -3 + -1 + (-7 - 2) + 533 + -529. 51 -128 - (37 + -27 - 76) -62 Calculate 19 - 47 - -3 - (0 + 12). -37 Evaluate -16 + 10 + (-3 - -5) + -1 + -96 - 9. -110 Evaluate -108 + 43 + 50 - (-10 - -3). -8 65 - (222 + -3 - 101) -53 -2 - -2 - -8 - (28 + -12 + -32) 24 Evaluate 0 - -54 - (-4 - -23 - (-92 + 111)). 54 What is -38 + (130 - 4) + -44? 44 What is the value of -1 + (11 - (1 + -4)) + (-1 - (-3 + -6))? 21 Evaluate -109 + (9 - (3 - (7 - (-7 - -26)))). -115 38 - 21 - (3 - (18 - (-9 - -6))) 35 Evaluate 61 + -1 - ((5 - (-10 + 11)) + -3 - -7). 52 16 - ((-18 - -29) + -3) 8 Calculate (20 - 6) + (-13 - (-1 + -1)). 3 (-12 - (-8 + -4) - 10) + (22 - 3) + 11 20 What is (0 - -16 - -1 - 3) + -27 + -29? -42 What is the value of -27 + (-23 - (20 - 88))? 18 Calculate 9 + -417 + 412 + -2 + (62 - -2). 66 What is the value of -15 + 34 + (30 + 16 - 26)? 39 -7 + (88 - (3 - -1)) 77 What is the value of 0 + -12 - 3 - (1970 - 1980)? -5 What is the value of 15 - (-12 + 97 + 8 + -16 + -9)? -53 0 - -78 - (11800 - 11756) 34 Calculate 890 + -880 + 32 + -1. 41 45 - (-6 - (-18 + -6 - -4)) 31 Evaluate 1 + -51 - (-274 - -207). 17 What is 0 - -40 - ((1683 - 1726) + -1 + 36)? 48 What is -65 - (-28 + (7 - (32 + -28)))? -40 What is the value of 6 + (39 + -94 - ((-6 - -3) + -6 - 3))? -37 What is 24 + -50 + 99 + -58? 15 Evaluate 17 + -8 + (-8 - 1) - -4. 4 (1 - 0) + -15 - (12 + -35 + 13) -4 Calculate -1 + 19 - (-72 - (-60 - 32)). -2 Evaluate -30 + (2 - ((8 - -1) + -46 + 29)) - 10. -30 Calculate (-12 - (-2 + 3)) + (7 - (23 + -12)). -17 Calculate 64 - (102 + -58 - 16). 36 Calculate -2 - 99 - (25 + -13 + -46 - -13). -80 What is the value of (-3 + 0 - (48 + -23 - 34)) + -39? -33 Evaluate (160 - 42) + (14 - (-9 - -23) - (6 + -9)). 121 What is the value of 28 + 76 + -62 - -11? 53 What is the value of 10 + (19 - (-31 + 15 + 9))? 36 Calculate 5 + 2 - (-130 + (69 - -9)). 59 What is (10 + -1 - (3 + (0 - -15) + -58)) + -10? 39 0 - (-1 + -3 + (18 - 18) - (-59 + 7)) -48 Evaluate 47 + -6 + -47 + 57. 51 -11 + (1 + -3 + 9 - (830 - 820)) -14 -67 - 8 - (111 - 140) -46 Evaluate 12 + ((-22 - (14 - 28)) + 8 - 4). 8 Evaluate 57 + (113 - 282 - -71). -41 Calculate (79 + -104 - -160) + -48. 87 Evaluate 1 - 0 - 101 - (-23 + 61 + (-66 - -15)). -87 Calculate -9 + 8 - (-2 - 0) - (26 + 28) - -6. -47 Evaluate (8 - (8 + -13 - -26)) + (-215 - -349). 121 What is 133 + (35 + -64 - 84)? 20 Calculate 5 - (-17 + -10) - (163 + -146). 15 What is the value of (-85 - (-54 + -20)) + (0 - -35)? 24 Calculate (-3 - 0) + (22 - (-6 + 29)) + -10. -14 Calculate (0 - (-5 + 4 + -8 + 18)) + (0 - -10). 1 Evaluate (33 - 15) + (8 - 10 - (-12 - 1)). 29 What is (-1 - -6 - -1) + (-48 - -89) + -23? 24 What is the value of 3 + (26 - (1 + -15 + -1 + 3))? 41 Calculate 52 - (-39 + 27 + 91). -27 -13341 + 13308 + 1 + (15 - 0) -17 Calculate 3 + (25 - (9 + 9 + -26)). 36 45 - (19 + 46 + -56) 36 8 - 8 - (-15 - (5 + -7 + (-9 - -6))) 10 Evaluate 115 + -49 + 44 + (-3 - 21). 86 What is the value of -32 + -2 + (10 - (16 + 1 + -11))? -30 -3 + 4 + -27 + (12 - (3 - -17)) + 18 -16 Evaluate 262 + -231 - 114 - (0 - -4). -87 Evaluate (-24 + -63 - (-16 - (-12 - -4))) + -4 + -5. -88 What is -5 - (8 - (-2 - -4) - (-244 - -275))? 20 Evaluate -7 + (-4 - ((8 - (4 + -3 - -1)) + -58)). 41 Evaluate -13 + 17 + -1 + (12 + -9 - 7). -1 What is ((-1 - -26) + -1 - -2) + (-34 - (49 - 74))? 17 -2 + (23 - -32) + -86 -33 What is 41 + -44 - (41 - (1 - -7))? -36 Calculate -15 - ((15 - -1) + -22 + 21 - -27). -57 What is 81 + -81 + -42 + 3 + (1 - -1)? -37 Evaluate -2 + 2 - ((-2 - (11 - 10)) + 4 - 42). 41 -2 - 4 - (24 + -12 + (3 - 18 - 99)) 96 Evaluate (-16 - -5) + 1 + (87 - (-40 - -135)). -18 Calculate -16 - (8 + -3 + 23 + -50). 6 What is the value of -177 + (44 - 26 - -32 - 2)? -129 114 + (15 - (-9 + 22 + 1 - 8)) + -13 110 What is the value of -102 + 189 + (-56 - -85)? 116 What is (12 - 2) + (-12 - (1 + 11 + -13)) - 10? -11 What is -33 - -46 - (11 + 1) - (-21 + -2)? 24 What is (1 - -5) + 9 + 13 + -5 - (-1 + 12)? 12 Evaluate 125 + -99 + (-52 - -18) - -66. 58 What is -89 - ((60 - 139) + 94)? -104 Evaluate -26 + (1 - -21 - -14) - (2 + 45). -37 What is the value of 27 + 1 - (-258 + 120 - -153)? 13 What is the value of 9 - (0 + (-12 - (3 + 10 + -115 - 11)))? -92 What is the value of -112 - (-7 + -140 + 88)? -53 What is the value of 21 + -4 + (35 - 64)? -12 Calculate (85 - (4 + 13)) + (-1 - 2) + 21 + -31. 55 3135 - 3033 - (-4 - -29) 77 Evaluate 12 - 2 - (-1 - ((-5 - -8) + -3)) - 79. -68 Calculate (-5682 - -5784) + (-39 - 0). 63 What is 6 - 12 - (8 + -12 + -31)? 29 What is the value of 11 + (2 - -10 - 35) - (19 + 14 - 8)? -37 What is the value of -2 - (-48 + 37 + 50)? -41 Evaluate -13
{ "pile_set_name": "DM Mathematics" }
by -3. 31028 Calculate -817 divided by -1. 817 What is -17 divided by -99569? 1/5857 Divide -63100 by 2524. -25 What is 1175000 divided by 5875? 200 What is -122 divided by 245? -122/245 -643 divided by 1206 -643/1206 Divide 62491 by 209. 299 Calculate -72705 divided by -47. 72705/47 Divide 84 by -946. -42/473 Calculate -300306 divided by -150153. 2 What is -124663 divided by 11? -11333 Divide -14 by -124613. 14/124613 -61203 divided by 22 -61203/22 -414348 divided by -6 69058 Calculate 3 divided by 9416. 3/9416 What is 1332690 divided by -266538? -5 Calculate -4614261 divided by 3. -1538087 Calculate 21678 divided by -5. -21678/5 Divide -1 by -10061. 1/10061 Divide -47592 by -72. 661 What is 5140650 divided by 5? 1028130 Calculate -49904 divided by 5. -49904/5 Divide -42 by 333. -14/111 701241 divided by 3 233747 What is 16788496 divided by -4? -4197124 Calculate -867114 divided by 6. -144519 3769472 divided by 4 942368 What is 1 divided by -1717? -1/1717 What is -47594 divided by 5? -47594/5 Calculate -5 divided by 81. -5/81 Divide 140 by 834. 70/417 Divide 4 by 423. 4/423 -816742 divided by -1 816742 -3776 divided by 3776 -1 Divide -329120 by 170. -1936 Calculate -16665 divided by 101. -165 -856936 divided by 34 -25204 What is 1214504 divided by -1? -1214504 Calculate -45474 divided by 429. -106 What is -1412416 divided by 116? -12176 4761395 divided by -5 -952279 105306 divided by -13 -105306/13 What is 2334390 divided by -778130? -3 Divide 2304050 by -230405. -10 1 divided by -33381 -1/33381 -7 divided by -32703 7/32703 What is -29949 divided by 2? -29949/2 What is 994 divided by -1094? -497/547 -1 divided by -27981 1/27981 Divide -5 by 60281. -5/60281 Divide -1349 by -1. 1349 1108 divided by 976 277/244 Divide -7430 by -7. 7430/7 Calculate -30972 divided by 12. -2581 Calculate -1 divided by -73815. 1/73815 Calculate -2157120 divided by 288. -7490 -3188808 divided by -4 797202 Calculate 361585 divided by 5. 72317 Calculate -332805 divided by 10085. -33 Divide 3651 by 21. 1217/7 Divide 0 by 160267. 0 What is -52211 divided by 6? -52211/6 Divide 656075 by -6. -656075/6 Divide -6518 by -6. 3259/3 -818511 divided by -6 272837/2 Divide 0 by 20122. 0 172452 divided by -6159 -28 Divide -21757 by -2. 21757/2 Divide 158915 by -859. -185 Calculate -3030945 divided by -15. 202063 What is 57211 divided by 5201? 11 Calculate 8940 divided by 596. 15 Divide -782 by -42. 391/21 Calculate -107 divided by 302. -107/302 -30456 divided by -1692 18 What is 8640 divided by -19? -8640/19 Divide 2193418 by 53498. 41 Calculate 9328 divided by -174. -4664/87 Divide 10660 by -4. -2665 -3179325 divided by 25 -127173 Calculate 26786 divided by -227. -118 Calculate -4 divided by -5897. 4/5897 Calculate 90 divided by 905. 18/181 Calculate 158388 divided by -39597. -4 What is -8804 divided by -65? 8804/65 399 divided by -8 -399/8 What is -101 divided by -325? 101/325 Calculate -766585 divided by -5. 153317 What is -57605 divided by -57605? 1 197432 divided by 296 667 -118150 divided by -10 11815 Divide -7 by -5164. 7/5164 Divide -49008 by -16. 3063 Calculate -74 divided by -1063. 74/1063 11280 divided by 94 120 What is -128205 divided by 5? -25641 9225 divided by -205 -45 Calculate -32755 divided by 6551. -5 Calculate -35261 divided by 3. -35261/3 Divide -6343856 by 5644. -1124 Divide 141 by 1108. 141/1108 Calculate -9997 divided by 769. -13 Divide 37506 by 282. 133 Divide 612 by 2500. 153/625 78112 divided by -4 -19528 -1063299 divided by 20849 -51 Calculate -2917152 divided by -12. 243096 -4 divided by 11018 -2/5509 -1232472 divided by 6 -205412 Divide -98730 by 30. -3291 Calculate 7694 divided by 7694. 1 Divide 396426 by -5. -396426/5 885317 divided by -127 -6971 Divide 1 by 9831. 1/9831 What is 244096 divided by -4? -61024 11195 divided by -2239 -5 -51 divided by -1 51 Calculate 123786 divided by -61893. -2 What is 621990 divided by 207330? 3 What is 54252 divided by -22? -2466 222896 divided by -222896 -1 What is 0 divided by 687? 0 Divide 213640 by 11. 213640/11 What is 146193 divided by 3? 48731 What is 146586 divided by 2? 73293 -34587 divided by 14 -4941/2 What is -207168 divided by 103584? -2 What is -81 divided by -2951? 81/2951 What is -216542 divided by -1? 216542 What is -696486 divided by -483? 1442 Divide -28433 by 28433. -1 Divide 187439 by 7. 26777 -84 divided by -7 12 What is 13833 divided by 4611? 3 Divide -4340 by 35. -124 -181 divided by 7 -181/7 -7709 divided by -7709 1 What is 172120 divided by -331? -520 What is 2169344 divided by -4864? -446 Calculate 4 divided by 6494. 2/3247 What is 146033 divided by -146033? -1 Calculate -84570 divided by -28190. 3 What is -1914830 divided by 419? -4570 Divide -2046268 by -107. 19124 Calculate 1397056 divided by 4. 349264 Calculate 7658 divided by -9. -7658/9 Divide -102748 by 34. -3022 Divide -39 by 5660. -39/5660 What is -3 divided by 358298? -3/358298 -12010 divided by 5 -2402 Divide -3 by -308010. 1/102670 Calculate -79596 divided by 6. -13266 119973 divided by -42 -5713/2 Calculate -24588 divided by 1366. -18 What is -8415 divided by 16? -8415/16 8228 divided by 43 8228/43 Calculate 136 divided by 1420. 34/355 42 divided by 3643 42/3643 Calculate 26349 divided by 31. 26349/31 Divide 134797 by 10369. 13 Divide -332465 by 7. -47495 Calculate 17 divided by -2548. -17/2548 Divide -4 by -48028. 1/12007 Divide -26196 by 74. -354 What is -13240 divided by -331? 40 Divide -177600 by 74. -2400 Calculate -148 divided by 18. -74/9 Calculate 5082 divided by 14. 363 Calculate 43015 divided by -5. -8603 Divide -12631 by 2. -12631/2 What is 2531112 divided by 1203? 2104 Divide 109 by -262. -109/262 What is -1122432 divided by 35076? -32 Calculate -384988 divided by 4. -96247 -19 divided by -769 19/769 Divide 17759 by 2537. 7 -2582565 divided by 3 -860855 Calculate -3300 divided by 660. -5 Divide 1211418 by -19539. -62 -169 divided by -417 169/417 What is 5976372 divided by -2? -2988186 1798014 divided by -41 -43854 1 divided by -24351 -1/24351 Calculate -322944 divided by -29. 11136 Divide 2775500 by 55510. 50 What is -1278461 divided by -4? 1278461/4 Calculate 40230 divided by 10. 4023 0 divided by -90197 0 What is -68040 divided by 43? -68040/43 Divide -29160 by -972. 30 Divide 2 by -1246. -1/623 Calculate 16122 divided by 5374. 3 -11 divided by -1863 11/1863 What is -17 divided by -2547? 17/2547 757419 divided by 1 757419 Divide -1187782 by -58. 20479 Calculate 3 divided by 92471. 3/92471 What is 71380 divided by -5? -14276 Divide 536160 by 16755. 32 Calculate 120657 divided by -2. -120657/2 19 divided by 6158 19/6158 Divide -71148 by -17787. 4 Divide -69036 by -523. 132 What is -18640 divided by 11? -18640/11 What is 183 divided by 10428? 61/3476 What is -3313956 divided by -828489? 4 Divide -3241712 by -810428. 4 0 divided by 42521 0 Divide 1474 by -97. -1474/97 What is 3417 divided by 17? 201 Calculate -2 divided by 137776. -1/68888 -9955 divided by -11 905 Divide -773700 by 154740. -5 Divide -3145105 by 5. -629021 Divide -56 by 3488. -7/436 Divide 33 by 1102. 33/1102 Divide 220306 by -6. -110153/3 What is -888 divided by 8? -111 What is 5 divided by -11809? -5/11809 Divide 9989 by -12. -9989/12 Divide -497706 by -6. 82951 What is 3588672 divided by -192? -18691 What is -459122 divided by 459122? -1 42397 divided by -1 -42397 What is 0 divided by -4156? 0 36520 divided by 55 664 Divide 713 by -80. -713/80 Divide -220410 by 5. -44082 Divide 13749 by 7. 13749/7 Calculate 181110 divided by 60370. 3 Divide 422 by 142. 211/71 -256508 divided by 18322 -14 1410031 divided by -697 -2023 2 divided by -204229 -2/204229 Divide -190377 by -11. 17307 Divide 0 by -11839. 0 Divide -10672 by 8. -1334 Calculate -129572 divided by 32393. -4 -101652 divided by 43 -2364 What is -1728 divided by 5? -1728/5 What is 3536 divided by 5? 3536/5 Divide 685142 by -342571. -2 What is -34272 divided by 11424? -3 Divide -118140 by -9845. 12 -4523 divided by -15 4523/15 284 divided by -724 -71/181 -742939 divided by -7213 103 Divide -74525 by 14905. -5 Calculate -2 divided by 3896. -1/1948 Divide -2 by 18272. -1/9136 What is -17472 divided by -24? 728 Divide 119370 by -23874. -5 Divide -135808 by -1. 135808 Divide -5 by -169932. 5/169932
{ "pile_set_name": "DM Mathematics" }
4 Round -5741000 to the nearest one million. -6000000 Round -0.000000002 to seven dps. 0 What is 0.0010854 rounded to 5 dps? 0.00109 Round -1.48 to the nearest integer. -1 Round -0.00032634 to five decimal places. -0.00033 Round 8120200 to the nearest 100000. 8100000 What is -0.86733 rounded to two dps? -0.87 Round -3.674 to one decimal place. -3.7 What is -0.03321 rounded to 3 dps? -0.033 Round -8907000 to the nearest one hundred thousand. -8900000 Round 7640 to the nearest one hundred. 7600 What is -0.00065488 rounded to four dps? -0.0007 What is 0.0000101146 rounded to 7 decimal places? 0.0000101 What is 0.0071831 rounded to three dps? 0.007 What is 0.0000155918 rounded to six decimal places? 0.000016 Round -0.00283405 to three decimal places. -0.003 What is -494.29 rounded to the nearest 100? -500 Round 308.9 to the nearest ten. 310 What is 0.0423 rounded to 2 decimal places? 0.04 Round 0.175364 to 2 dps. 0.18 What is -0.001544 rounded to four dps? -0.0015 Round -0.00067536 to 5 dps. -0.00068 Round 138063 to the nearest one thousand. 138000 What is -1442.68 rounded to the nearest ten? -1440 What is 1860 rounded to the nearest one thousand? 2000 Round -4.302 to the nearest integer. -4 Round -1356900 to the nearest 100000. -1400000 What is -1652300 rounded to the nearest 10000? -1650000 Round -0.0054101 to 5 decimal places. -0.00541 Round -0.1918 to 2 dps. -0.19 What is -315.26 rounded to the nearest one hundred? -300 What is -69.8 rounded to the nearest 10? -70 Round 0.000016857 to seven decimal places. 0.0000169 What is -0.12953 rounded to one decimal place? -0.1 What is -10694 rounded to the nearest one hundred? -10700 What is 0.00012971 rounded to 5 decimal places? 0.00013 Round 6.05492 to 0 decimal places. 6 What is -0.0000001873 rounded to 7 dps? -0.0000002 Round 0.113642 to two dps. 0.11 What is -9519 rounded to the nearest one hundred? -9500 Round 9530 to the nearest 1000. 10000 Round -3.782 to one dp. -3.8 Round -0.000000023 to seven decimal places. 0 What is -426700 rounded to the nearest one million? 0 Round -149.7 to the nearest 100. -100 Round 1459600 to the nearest one hundred thousand. 1500000 What is 0.00049 rounded to five decimal places? 0.00049 Round 7332 to the nearest 1000. 7000 What is -0.0055533 rounded to five decimal places? -0.00555 Round -0.0000000395 to 7 dps. 0 What is 4481000 rounded to the nearest 100000? 4500000 Round -37310 to the nearest ten thousand. -40000 What is -0.00628 rounded to three decimal places? -0.006 Round -0.00000044479 to 7 decimal places. -0.0000004 Round 55.3 to the nearest ten. 60 What is -1.308 rounded to 1 decimal place? -1.3 What is 34.151 rounded to 0 decimal places? 34 Round 0.00120317 to 6 decimal places. 0.001203 What is 26850 rounded to the nearest ten thousand? 30000 Round -0.0000642519 to 5 dps. -0.00006 Round 0.05859 to three dps. 0.059 Round -6316700 to the nearest ten thousand. -6320000 What is -0.56388 rounded to 1 dp? -0.6 What is -16 rounded to one dp? -16 Round 308580 to the nearest one thousand. 309000 What is -18948 rounded to the nearest one thousand? -19000 What is -1846630 rounded to the nearest one hundred thousand? -1800000 Round -0.000009299 to 6 dps. -0.000009 Round 0.0000009742 to seven dps. 0.000001 Round -0.0000000109 to 7 dps. 0 What is -10.427 rounded to 1 dp? -10.4 What is 2.8845 rounded to 1 dp? 2.9 What is -0.03935 rounded to two dps? -0.04 Round 0.003686 to four dps. 0.0037 What is -0.11037 rounded to 3 dps? -0.11 Round 140.75 to the nearest 10. 140 What is 551413 rounded to the nearest one thousand? 551000 What is 1150000 rounded to the nearest 1000000? 1000000 Round 0.000000034 to seven decimal places. 0 What is 0.01082 rounded to two decimal places? 0.01 What is -9044.1 rounded to the nearest 100? -9000 What is 0.2641 rounded to 1 dp? 0.3 Round 6966.4 to the nearest one hundred. 7000 Round 0.00435 to 4 decimal places. 0.0044 What is -12.33 rounded to the nearest ten? -10 Round 0.00174782 to four decimal places. 0.0017 Round -2191000 to the nearest ten thousand. -2190000 What is 38.31 rounded to 0 dps? 38 Round -194.06 to the nearest ten. -190 What is 19391 rounded to the nearest one hundred? 19400 What is 1.6166 rounded to 2 decimal places? 1.62 What is 661200 rounded to the nearest one million? 1000000 Round 0.2884 to 1 decimal place. 0.3 Round 261.56 to the nearest 100. 300 What is 108500 rounded to the nearest 10000? 110000 What is -0.0004798 rounded to 3 dps? 0 What is -2363 rounded to the nearest ten? -2360 What is -0.0014445 rounded to 4 dps? -0.0014 Round -0.00009967 to six decimal places. -0.0001 What is -88700 rounded to the nearest 100000? -100000 What is 0.5353 rounded to 2 dps? 0.54 What is 0.00092688 rounded to 6 dps? 0.000927 What is 9.2302 rounded to the nearest integer? 9 What is -5.234 rounded to zero decimal places? -5 Round -0.00173013 to 5 dps. -0.00173 Round 4293000 to the nearest one hundred thousand. 4300000 What is -264.13 rounded to the nearest ten? -260 Round -11261000 to the nearest one hundred thousand. -11300000 Round -0.00000402267 to 7 decimal places. -0.000004 What is 252 rounded to the nearest 10? 250 Round -4.664 to the nearest integer. -5 Round -211.659 to the nearest integer. -212 Round -0.17786 to two dps. -0.18 Round -13664000 to the nearest one hundred thousand. -13700000 Round 0.0085648 to 3 dps. 0.009 Round 0.0000005605 to seven decimal places. 0.0000006 What is 1693 rounded to the nearest 100? 1700 What is -0.4788 rounded to 2 decimal places? -0.48 Round 0.0000054093 to seven dps. 0.0000054 What is 3.056 rounded to 1 dp? 3.1 What is -314.4 rounded to the nearest one hundred? -300 Round -172.248 to zero decimal places. -172 Round -504400 to the nearest 1000. -504000 Round -0.13961 to 2 dps. -0.14 What is 0.001617 rounded to four dps? 0.0016 Round 0.00109 to 4 decimal places. 0.0011 What is -9.201 rounded to 1 decimal place? -9.2 Round 1453.25 to the nearest ten. 1450 Round 0.000020084 to 7 decimal places. 0.0000201 Round -14079000 to the nearest 100000. -14100000 Round 935.8 to the nearest one hundred. 900 What is 292750 rounded to the nearest ten thousand? 290000 What is 16050000 rounded to the nearest 100000? 16100000 What is 58.98 rounded to 0 decimal places? 59 Round 13.7 to one dp. 13.7 Round 3318.66 to the nearest ten. 3320 What is 1667000 rounded to the nearest 10000? 1670000 What is -1.5968 rounded to 1 decimal place? -1.6 Round -18265 to the nearest 100. -18300 Round 10762 to the nearest one thousand. 11000 What is -0.9422 rounded to 1 dp? -0.9 Round 0.008819 to 3 decimal places. 0.009 What is 0.000000294 rounded to 7 decimal places? 0.0000003 What is 0.003456 rounded to four decimal places? 0.0035 What is 0.0141409 rounded to four dps? 0.0141 Round 82.315 to the nearest integer. 82 What is -0.66925 rounded to one decimal place? -0.7 Round -1091700 to the nearest ten thousand. -1090000 What is -0.00017707 rounded to 5 decimal places? -0.00018 What is 59.6 rounded to the nearest integer? 60 Round 1.179 to one dp. 1.2 Round -0.004198 to 3 decimal places. -0.004 What is 16.69 rounded to 1 dp? 16.7 Round -0.0000147476 to 6 decimal places. -0.000015 Round -0.0005597 to four decimal places. -0.0006 What is -0.041111 rounded to three dps? -0.041 What is 0.002555 rounded to four dps? 0.0026 What is -1298.06 rounded to the nearest 100? -1300 What is -105.57 rounded to 0 dps? -106 Round -2143.4 to the nearest ten. -2140 Round 0.014495 to two decimal places. 0.01 Round -52.02 to the nearest ten. -50 Round -1.716 to the nearest integer. -2 Round -0.00023984 to six dps. -0.00024 What is 0.000065 rounded to five dps? 0.00007 Round 6370 to the nearest 100. 6400 What is -0.318 rounded to 1 dp? -0.3 Round 0.00083 to five dps. 0.00083 What is -28510 rounded to the nearest one thousand? -29000 Round -615100 to the nearest ten thousand. -620000 What is 2207.8 rounded to the nearest 10? 2210 Round 0.043563 to 3 dps. 0.044 What is 10748 rounded to the nearest one hundred? 10700 Round 0.00113 to 3 decimal places. 0.001 What is 0.0021609 rounded to 5 decimal places? 0.00216 Round 0.0007388 to 5 dps. 0.00074 Round 59422000 to the nearest one million. 59000000 What is -36980000 rounded to the nearest one million? -37000000
{ "pile_set_name": "DM Mathematics" }
s 1a7 + -11a51? -11888 In base 7, what is -103 - -5162342? 5162236 In base 6, what is 1200505103 - 21? 1200505042 In base 9, what is -82406 + 540? -81756 In base 12, what is -1a5aa2 + 595? -1a5509 In base 2, what is 1000001000011100 - 10110011110? 111110001111110 In base 11, what is 5a40597 + 31? 5a40618 In base 5, what is -1231004424 - 2? -1231004431 In base 8, what is 1166304 + -75? 1166207 In base 6, what is -23033421342 + 0? -23033421342 In base 4, what is 11 + 3300230202312? 3300230202323 In base 15, what is -4189b39 + -2? -4189b3b In base 12, what is 2375a6000 - -3? 2375a6003 In base 12, what is -1843 - 13672? -152b5 In base 6, what is -1410322 + 45301? -1321021 In base 12, what is 195277 - -83? 19533a In base 14, what is -223 - -a366? a143 In base 7, what is -3 - 2340161004? -2340161010 In base 9, what is -148048 - -144? -147804 In base 9, what is -184 - 1504052? -1504246 In base 15, what is -2622 - -15a? -24b7 In base 13, what is 4 - -2ac1a7? 2ac1ab In base 16, what is -8 + 18bcfb? 18bcf3 In base 2, what is 100001110011 + 10011011111? 110101010010 In base 5, what is -4023241311 + -1142? -4023243003 In base 12, what is 108 - -56885? 56991 In base 7, what is 13111 - 15461? -2350 In base 5, what is -42032 + -21244443? -21342030 In base 15, what is 3 - -29d683? 29d686 In base 10, what is -1534845 - 0? -1534845 In base 9, what is 1567668 - 1845? 1565723 In base 10, what is 1329 - -7123? 8452 In base 9, what is 83881 + -55? 83825 In base 3, what is -20202011100110 + 2021? -20202011021012 In base 6, what is -120121 + 114320? -1401 In base 8, what is 4506 - 5221? -513 In base 2, what is 100000000 - -1000101001101101110? 1000101010001101110 In base 6, what is 3 + -2545535135? -2545535132 In base 14, what is -386 + 1a599? 1a213 In base 9, what is -13852 - -5602? -7250 In base 13, what is 2 + a379994? a379996 In base 9, what is 8364305 + 60? 8364365 In base 3, what is -102120 + -222002201010? -222010010200 In base 11, what is 2 + 113860a2? 113860a4 In base 12, what is 172 + 6b181? 6b333 In base 5, what is -30200 - -43210? 13010 In base 7, what is -3 - -1110345230? 1110345224 In base 8, what is -4 + 5304723? 5304717 In base 16, what is -8 - -ab7d77? ab7d6f In base 7, what is -4 + -33411335? -33411342 In base 3, what is 20 - -1201222101202? 1201222101222 In base 11, what is -83519 + -33? -83551 In base 11, what is 484a8 - 197? 48311 In base 7, what is 24 + -10351144? -10351120 In base 8, what is 14037442 + 31? 14037473 In base 2, what is 0 - 10111001011111001001001110? -10111001011111001001001110 In base 15, what is 9 + b8598? b85a2 In base 14, what is 22 + 5764853? 5764875 In base 14, what is 1 + 698533? 698534 In base 9, what is -351684 + -78? -351773 In base 3, what is 122102210000211211 - 1? 122102210000211210 In base 11, what is -1 - 851238? -851239 In base 8, what is -15 - -3144025? 3144010 In base 3, what is -122011 - 112012? -1011100 In base 7, what is -1420 - 1515361? -1520111 In base 2, what is -1 + 101001001101101010010000101? 101001001101101010010000100 In base 13, what is 660317b + 5? 6603183 In base 14, what is -11171 + -27b? -1140c In base 7, what is -11 - -365241504? 365241463 In base 12, what is 33652 + 339? 3398b In base 11, what is 2 - 1557579? -1557577 In base 10, what is 135654 - -206? 135860 In base 15, what is 3da67 - 6? 3da61 In base 9, what is 14367 + -855? 13412 In base 13, what is -2713694 - 1a? -27136b1 In base 9, what is 13054 - 3163? 8781 In base 11, what is -159 + -19740? -19899 In base 8, what is 53645303 - -13? 53645316 In base 13, what is 456857 + 17? 456871 In base 6, what is 212202 - 2522? 205240 In base 6, what is -13 - 10315205? -10315222 In base 5, what is -3 + -104010200140? -104010200143 In base 4, what is -211022013330 - 32? -211022020022 In base 11, what is 15a7a64 + -1a9? 15a7866 In base 9, what is -4 + 85437164? 85437160 In base 13, what is -1bb874 - -8bb? -1bac86 In base 14, what is -1a + -2925d? -29279 In base 4, what is -102231303332030 - 11? -102231303332101 In base 12, what is 44a14b - -3? 44a152 In base 5, what is -10233 - 13320042? -13330330 In base 5, what is 12224330300 - -102? 12224330402 In base 8, what is 6202 + 417114? 425316 In base 6, what is -1012 - -404145? 403133 In base 6, what is -223354112 + -3? -223354115 In base 5, what is -120243401433 + 1? -120243401432 In base 9, what is 71168 - 412? 70656 In base 14, what is 1a + caa73? caa8d In base 12, what is -45256 + -106? -45360 In base 5, what is 10 + 10312103? 10312113 In base 12, what is 9906517a - -2? 99065180 In base 3, what is 12100001001 + 101121020? 12201122021 In base 5, what is -420222402 + 11102? -420211300 In base 8, what is 47575 + -7564? 40011 In base 4, what is 3000 - -12110120? 12113120 In base 2, what is -1000001111010010 - -101000010? -1000001010010000 In base 3, what is -12100011 + 121111? -11201200 In base 10, what is 339 + 229986? 230325 In base 11, what is 274a9 + 1533? 28a31 In base 8, what is 550235 - 1002? 547233 In base 9, what is 5435311 + 4? 5435315 In base 13, what is 56661 - -1c? 56680 In base 7, what is 2 + -6350505? -6350503 In base 2, what is -11 + 10000110000111111010001011? 10000110000111111010001000 In base 14, what is 19dd3 - 161? 19c72 In base 7, what is -43055316 + -1? -43055320 In base 6, what is -214104 + 154055? -20005 In base 13, what is 4b349 + -35b? 4acbb In base 15, what is -9d85 + 22a? -9b5a In base 16, what is 2 + 230c70? 230c72 In base 13, what is 4 + 158277? 15827b In base 6, what is -2000214 - 22443? -2023101 In base 12, what is 5 - -6456bb02? 6456bb07 In base 11, what is 3a957 + -246? 3a711 In base 4, what is -130121110 - 310? -130122020 In base 5, what is -124 - -113131232? 113131103 In base 12, what is -8830 + 1987? -6a65 In base 12, what is -55 + 6b8681a? 6b86785 In base 12, what is 31679bb + 3? 3167a02 In base 14, what is 133 - 37456? -37323 In base 4, what is -1100313133210 + 1? -1100313133203 In base 14, what is d05341 - -17? d05358 In base 7, what is 20166 + -32441? -12242 In base 9, what is 3 + 10411235? 10411238 In base 6, what is 25553 + -3133424? -3103431 In base 11, what is -189 + -2940a? -29598 In base 3, what is 1 - -100120111002? 100120111010 In base 13, what is -1a9a + -8695? -a462 In base 5, what is -3234233444 - 10? -3234234004 In base 15, what is 8 + 440156? 44015e In base 12, what is -2b92a7 + 0? -2b92a7 In base 14, what is b0c280 - 8? b0c276 In base 10, what is -1 + 78159221? 78159220 In base 13, what is -2124aa - -14? -212496 In base 12, what is 62b09841 - 5? 62b09838 In base 13, what is 206692 + 2c? 2066c1 In base 5, what is -4 - -323243041? 323243032 In base 13, what is -581 - 2884c? -29100 In base 13, what is 4 + -25c114? -25c110 In base 14, what is 2 - -7611bb? 7611bd In base 9, what is 33708 + -3735? 28863 In base 5, what is 12004232 - -2? 12004234 In base 7, what is -46 + 5423561? 5423512 In base 7, what is 2 - 11310463? -11310461 In base 2, what is -110101100011010 - 1010010100? -110110110101110 In base 9, what is -1342 + -27868? -30321 In base 6, what is 2 + -1002110001? -1002105555 In base 12, what is 1018aa117 - -2? 1018aa119 In base 2, what is 101011 - -100010000111100110? 100010001000010001 In base 13, what is -2ca9a + -11? -2caab In base 4, what is -320 - 103212030? -103213010 In base 12, what is -28650663 + -1? -28650664 In base 14, what is -6 + -48b818? -48b820 In base 2, what is 11110010110001111 - -111? 11110010110010110 In base 2, what is 10100111101111010101100011 - -1? 10100111101111010101100100 In base 2, what is 101010010101000100010000110 + -100? 101010010101000100010000010 In base 15, what is 19879 + 6ae? 1a038 In base 3, what is 100020211201 + 120? 100020212021 In base 11, what is -10 - 305307? -305317 In base 4, what is 11122311011 - -13? 11122311030 In base 7, what is 432112 - -15422? 450534 In base 11, what is 2 - 11aa988? -11aa986 In base 9, what is 12 - 78224486? -78224474 In base 4, what is -112222031 - 32002? -112320033 In base 7, what is 65604 + 21464? 120401 In base 16, what is 296faa0 + -5? 296fa9b In base 6, what is 154033 + 1055? 155132 In base 10, what is 108 - -407259? 407367 In base 7, what is -56035 + -55551? -144616 In base 6, what is -105433 + -512322? -1022155 In base 10, what is -439015375 - 0? -439015375 In base 11,
{ "pile_set_name": "DM Mathematics" }
u) - r(u). Let n be p(-10). Suppose 4*l - 33 = 3*l. What is the highest common divisor of l and n? 3 Let u(b) = 4*b**3 - 69*b**2 + 19*b + 9. Let y be u(17). What is the greatest common factor of y and 1849? 43 Suppose 205 - 145 = 6*o. Calculate the highest common divisor of 185 and o. 5 Let t be 168/70*(-5)/(-2) - (19 + -31). Let o be (-34)/4*(-1 - 1). Let v = 44 - o. What is the greatest common factor of v and t? 9 Let c = 30 - 32. Let m be 124/10 + c/5. What is the greatest common divisor of 192 and m? 12 Let y(j) = j**3 + 7*j**2 + 4*j - 2. Suppose 0 = 7*b - 9*b + 34. Let o = b - 22. Let g be y(o). What is the highest common factor of g and 14? 14 Let n(y) = 31*y + 124. Let p be n(17). Calculate the highest common factor of p and 62. 31 Suppose r - d = -17 + 83, -2*r - 3*d = -112. What is the highest common divisor of 248 and r? 62 Let q be (-5)/4*(1 + -5). Let v be (-20)/14*((-59)/2 + 5). Calculate the highest common factor of q and v. 5 Let q(v) = 7*v - 27. Let k be q(4). Let h = 7 - 4. What is the greatest common divisor of k and h? 1 Let a = -714 + 743. What is the highest common divisor of 87 and a? 29 Let f be (-7 - (-26)/4)*-160. What is the highest common factor of 48 and f? 16 Let y(x) = 21*x + 166. Let d be y(-6). What is the greatest common divisor of 32 and d? 8 Let t(n) = -n**2 + 8*n + 42. Let j be t(8). What is the greatest common factor of j and 14? 14 Let s = 436 + -425. Calculate the highest common divisor of 176 and s. 11 Let q be 243 + -2 - (0 + -1). What is the greatest common divisor of 33 and q? 11 Let g = -2 - -11. Let j(v) = -v**2 - 21*v - 56. Let f be j(-18). Let p = g + f. Calculate the highest common factor of 7 and p. 7 Suppose 7*s + 358 = 470. Calculate the greatest common factor of s and 1136. 16 Suppose -6*w + w = -10. Let m(s) = -4*s - 20. Let v be m(-12). Suppose x = 2*x + t - 20, 0 = x + 5*t - v. What is the greatest common factor of w and x? 2 Let t(x) = -x**3 - 4*x**2 - 3*x + 2. Let q be t(-4). Let n be q + 2 - 1*-2. Suppose 56*d - 53*d - 108 = 0. Calculate the greatest common factor of d and n. 18 Let k be (14/6)/(2/60). Let t(i) = 8*i**3 - 6*i**2 + 3*i - 8. Let q be t(4). Let f be (q/(-75))/(2/(-5)). Calculate the greatest common factor of f and k. 14 Let d = 15 + 3. Suppose -16 = -2*a - 3*x, -8 = x - 3*x. Suppose h + b = 17, 0 = -b + 3*b + a. Calculate the highest common factor of d and h. 18 Suppose 11 = -5*y + 61. Calculate the greatest common factor of y and 105. 5 Suppose -5*p = 5*p - 190. Suppose 23*h - 864 = p*h. What is the greatest common divisor of h and 27? 27 Let b(k) = -k**3 + 11*k**2 - 5*k + 28. Let m be b(8). Calculate the greatest common divisor of 12 and m. 12 Let n be (5 + -200)/(5/(-2) - -1). Suppose 57*v - 62*v + n = 0. Let f(o) = 16*o**2 + 7*o + 6. Let b be f(-4). Calculate the greatest common factor of b and v. 26 Suppose 253 = i - 3*n, -i = 3*n - 183 - 82. What is the highest common factor of i and 74? 37 Let z be (-4)/(0 - 4) - -3. Let f = 15 - z. What is the highest common divisor of 77 and f? 11 Let f(n) = 3*n**2 - 26*n - 396. Let c be f(-9). What is the highest common divisor of c and 99? 9 Let q(o) = -o**3 + 4*o**2 + 247*o + 29. Let x be q(-14). What is the highest common divisor of x and 88? 11 Let t be -2*3 - (-78 - -18). What is the greatest common divisor of 162 and t? 54 Suppose 0 = g - 0*i + 2*i - 24, 4*i - 16 = 0. Calculate the highest common factor of 24 and g. 8 Suppose -3*a - 3 = -9. Suppose -1 = u + 5*o + 4, -a*u + 4*o + 18 = 0. What is the highest common divisor of u and 15? 5 Let a be -3 + 5 - (-361 + 0). Let p be 3*1/(-4)*-4. Suppose -3*h - 153 = -5*g, p*g = 7*g + 2*h - 140. What is the greatest common divisor of g and a? 33 Let z(s) = 20*s**2 + 4*s - 3. Let o be z(3). Suppose 3*q = -941 + 1004. What is the greatest common factor of q and o? 21 Let r(d) = d**3 + 31*d**2 - 106*d + 7. Let n be r(-34). What is the greatest common factor of 33 and n? 11 Suppose -a + 5 + 1 = 0. Suppose -3*l + 31 - 99 = 4*c, 2*l = -8. Let d be (360/28)/((-3)/c). What is the greatest common factor of a and d? 6 Let k be (-76 - (-2 - 1))*(-2)/2. What is the greatest common divisor of 365 and k? 73 Let u be (57/(-38))/(3/(-152) - 0). What is the greatest common factor of 323 and u? 19 Let j be -56*(-5)/(-10)*-8. Calculate the greatest common divisor of j and 28. 28 Let r = 190 - 132. Let m = r + -41. Calculate the highest common divisor of m and 136. 17 Let a(d) = 4*d**3 - 16*d**2 + 40*d + 2. Let z be a(4). What is the greatest common factor of z and 189? 27 Let i be ((-24)/(-7))/(1/7). Suppose 0 = -17*h + 13*h + 48. Calculate the greatest common divisor of h and i. 12 Suppose -4*m - 148 = 3*f, m - f + 42 = -3*f. Let c = 6 - m. Calculate the highest common factor of c and 100. 20 Let p = -1272 - -1569. What is the highest common factor of 77 and p? 11 Let t be (7 + -1)*-1*(-2)/2. Let v(c) = c**2 - 3*c - 1. Let n be v(4). What is the highest common divisor of t and n? 3 Suppose -10*c = -5*c - 35. Suppose -2*g = -0*g + 366. Let s = -106 - g. Calculate the highest common divisor of s and c. 7 Let l be (3*(8000/(-6))/8)/(-1). What is the highest common factor of 625 and l? 125 Let p = 57 + -33. Let k be -6*3/(-9) - -178. Suppose 7*v - 2*v = k. What is the highest common divisor of p and v? 12 Let d be ((-50)/(-8))/(200/160). Suppose 5*a = -2*i + 40, 2*i - 2*a = -5*a + 36. What is the highest common factor of i and d? 5 Let t be 12/(9/(27/6)). Suppose -3*q + 2*a + 59 = 0, t*q - a = q + 96. Let c = -125 - -258. What is the greatest common divisor of q and c? 19 Let r be 8/6 - ((-9823)/33 + -2). Calculate the greatest common divisor of 86 and r. 43 Let f = 364 + -207. Let c = 322 - f. What is the greatest common factor of c and 15? 15 Suppose -174*l + 1292 = -170*l. What is the greatest common factor of l and 57? 19 Suppose 0 = 4*f - 5*f + c + 342, -4*c = 0. Calculate the highest common factor of 114 and f. 114 Suppose 5*m = -4*l + 204, -4*m + 6*l - l = -155. Let b = m - 30. Suppose b*y - 224 = 3*y. What is the greatest common divisor of y and 224? 32 Let j be 1 + (-30)/24 + (-369)/(-4). Let o be j/6 - 1/3. What is the highest common divisor of 135 and o? 15 Suppose -2*c + 27 + 17 = 0. What is the highest common factor of c and 352? 22 Suppose -424*y + 1290 = -418*y. Calculate the greatest common factor of 5 and y. 5 Let u be (-51)/(-2 - -5) - -1. Let s = -1 - u. Let b(r) = r**3 + 12*r**2 - 7*r - 39. Let i be b(-12). What is the highest common factor of s and i? 15 Let v = -386 - -455. Suppose -b + 2*b = 23. Calculate the greatest common factor of v and b. 23 Suppose 1 = n, -4*r = -4*n + 13 + 15. Let j be (-4)/(((-1)/r)/((-10)/30)). Suppose 4*l + 32 = 160. Calculate the greatest common divisor of l and j. 8 Suppose -2*j + 2*i = -8, -4*j + 10*i + 19 = 5*i. Let n be (4/(32/(-156)))/(j/(-2)). Calculate the highest common factor of n and 52. 13 Let j(q) = 18*q - 37. Let p be j(3). What is the highest common divisor of p and 5? 1 Let p be (-22)/(-2) + (-2)/(-2). Let r(v) = -v**2 - 30*v - 51. Let o be r(-27). What is the greatest common divisor of o and p? 6 Let g(z) = -2*z**3 - 10*z**2 + z - 3. Let r be g(-6). Let o be (16 - (-1 + 4)) + -3. Let f be o/50 - 418/(-10). What is the highest common factor of r and f? 21 Let u(x) = x**3 + 10*x**2 - 12*x - 8. Let n = 10 + -21. Let r be u(n). Let a be (30/(-20))/(r/(-4)). What is the greatest common factor of a and 6? 2 Let f = 7 + -6. Let j(u) = -u + 14. Let y be j(13). Let b be y*44/(8/2). What is the highest common divisor of b and f? 1 Let u(x) = -x**3 + 12*x**2 - 19*x - 14. Let v be u(10). Let m(i) = -2*i**3 - 4*i**2 + 8*i + 4. Let k be m(v). Calculate the greatest common divisor of k and 18. 18 Let u = 238 + -31. Calculate the highest common factor of u and 45. 9 Suppose 4*r - 192 = -3*b + b, -2*b = 2*r - 200. Let k(l) = -10*l + 5. Let o be k(-6). Let q = 78 - o. What is the highest common factor of q and b? 13 Let p(k) = 4*k**2 + k + 1. Let l be p(4). Let u = l + -101. Let i be u/(-4) - (2 - 4). Calculate the greatest common divisor of i and 4. 2 Let p(y) = -y**3 - 14*y**2 + 13*y + 18. Let x be p(-15). Calculate the highest common factor of 12 and x. 12 Let s be (-3 - (-12)/3)*189. Let d(q) = -q**3 + 4*q**2 + 7*q + 17. Let j be d(5). What is the
{ "pile_set_name": "DM Mathematics" }
alculate s(q(l)). 1715*l**4 Let l(w) = -4*w**2 + 9*w. Let d(q) = -36932*q. What is l(d(x))? -5455890496*x**2 - 332388*x Let s(i) be the first derivative of -11*i**3 - 4*i + 701. Let g(n) = -3*n**2. Give s(g(q)). -297*q**4 - 4 Let x(a) = -a + 1. Let c(i) be the second derivative of 2*i**3/3 - 3*i**2/2 + 6*i. Let n(j) = -c(j) - 3*x(j). Let z(w) = 8*w. Give n(z(h)). -8*h Suppose -4*l = 10 - 18. Let b(f) = -4*f**l + 37 - 37 + 7*f**2. Let d(i) = -7*i**2. Calculate b(d(n)). 147*n**4 Let b(m) = 1074*m - 2. Let h(t) = 30*t**2. Give b(h(j)). 32220*j**2 - 2 Let z(m) = 18 - 18 - 6*m**2. Let u(o) be the first derivative of o**2/2 - 25. Give u(z(d)). -6*d**2 Let w be (24/16)/((-1)/(-2)). Let v(o) be the second derivative of -w*o + 0 - 1/3*o**3 + 0*o**2. Let t(r) = -7*r. Calculate t(v(f)). 14*f Let f(v) be the second derivative of -v**6/120 - 7*v**4/12 + 7*v. Let k(w) be the third derivative of f(w). Let h(g) = 7*g**2. Give k(h(a)). -42*a**2 Let h(c) = -4*c**2. Let w(v) = 28298*v**2 + v. What is w(h(i))? 452768*i**4 - 4*i**2 Let q(n) = 16*n - 32. Let m(a) = -3*a - 27. Give q(m(w)). -48*w - 464 Suppose t - 17 = -5*j, 3*t + 2 - 5 = -3*j. Suppose -15 = -j*s + s. Let g(i) = s*i - 3*i + 2*i. Let c(r) = 3*r. Determine g(c(z)). 12*z Let q(r) = -r**2. Let p(k) = k**2 - k. Let j(s) = 2*s + 16*s**2 + 5*s - 25*s. Let w(u) = 2*j(u) - 36*p(u). What is w(q(y))? -4*y**4 Suppose 12 = -4*o + o. Let j be (6/10)/((2/(-10))/1). Let l(t) = -4. Let n(y) = -y + 3. Let u(s) = j*l(s) + o*n(s). Let h(m) = -m**2. Give h(u(w)). -16*w**2 Let r(x) = -272*x**2 - x. Let i(c) be the second derivative of c**3/2 - 464*c. Determine i(r(k)). -816*k**2 - 3*k Let v(k) = -892537*k. Let m(z) = -4*z. Give m(v(b)). 3570148*b Let i be 66/8 - 3/12. Let y(s) = i*s + 0*s - 8*s - 12*s**2. Let p(x) be the first derivative of -x**2/2 + 1. What is p(y(m))? 12*m**2 Let a(n) = -3184*n**2. Let j(m) = 17*m. Give j(a(c)). -54128*c**2 Let d(l) = 33*l**2. Let n(t) be the third derivative of 0*t**3 + 0*t - 1/24*t**4 - 3*t**2 + 0. Calculate d(n(o)). 33*o**2 Let h(x) = -2*x**2 - 3. Let r(p) be the second derivative of -p**4/12 - 8*p - 2. Determine r(h(y)). -4*y**4 - 12*y**2 - 9 Let k(q) be the third derivative of q**5/30 - 9*q**2. Let m = 3 + -1. Let l(f) = 7*f**2 - 2*f**2 - f**m + 2*f**2. Calculate k(l(n)). 72*n**4 Let k(h) = 5*h. Suppose 6*w + 2 = 7*w. Let p(a) be the third derivative of 0*a + w*a**2 + 0 + 1/60*a**5 + 0*a**4 + 0*a**3. Determine k(p(v)). 5*v**2 Let k(t) = 6*t**2. Let y(p) = -4*p + 65*p + 105*p + 38*p - 27*p. Give k(y(a)). 187974*a**2 Let n(w) = -2*w - 96310. Let x(c) = -c**2. Determine n(x(u)). 2*u**2 - 96310 Let y(m) = -4*m. Let q(u) = -7*u**2 + 4*u - 4. Let j(p) = -133*p**2 + 77*p - 77. Let w be 92 + -15 - (2 + (0 - 2)). Let i(h) = w*q(h) - 4*j(h). Give y(i(g)). 28*g**2 Let l(w) = -2*w + 3. Let k(u) = 3*u - 4. Let q(v) = -3*k(v) - 4*l(v). Let m(j) = -2071 + 2071 - 11*j**2. Calculate m(q(x)). -11*x**2 Let f(g) = 0*g**2 - 4*g + 4*g - 2*g**2. Let u(x) be the third derivative of -25*x**4/24 + 92*x**2. Determine u(f(k)). 50*k**2 Let l(d) = -15*d + 80. Let r(j) = -2*j + 12. Let o(h) = -3*l(h) + 20*r(h). Let k(n) = 15*n - 13. Let u(a) = 7*a - 6. Let x(v) = -6*k(v) + 13*u(v). Give x(o(f)). 5*f Let h(k) = 3*k. Let b(v) = 10*v + 1681. Give h(b(f)). 30*f + 5043 Let j(y) be the first derivative of -5*y**2/2 - 176. Let s(z) = 32*z**2. What is s(j(u))? 800*u**2 Let b(d) = 2*d. Let s(k) = 53*k + 23*k**2 - 2 - 51*k + 4*k**2 + 2*k**2. Let g(t) = -57*t**2 - 5*t + 5. Let i(q) = -2*g(q) - 5*s(q). What is b(i(a))? -62*a**2 Let j(r) = r**2 + 1. Suppose 5*n + 0 = -20. Let l(k) = -k**2 - 6 + 3 + 7. Let x(t) = n*j(t) + l(t). Let v(g) = -2*g. Determine x(v(h)). -20*h**2 Let q(h) = -122*h**2 + 39*h. Let z(o) = 2*o. Calculate z(q(x)). -244*x**2 + 78*x Let l(h) = -h - 7. Let x(a) be the third derivative of a**5/20 + 166*a**2 + 1. Calculate l(x(p)). -3*p**2 - 7 Let j(t) = 0 - 3*t + 0. Let c(y) = 3*y**2 - 4. Let n(m) = 7*m**2 - 9. Suppose -44*x + 47*x = -27. Let r(d) = x*c(d) + 4*n(d). What is j(r(g))? -3*g**2 Let m(h) = -2*h - 1551. Let z(f) = -9*f**2. Calculate z(m(v)). -36*v**2 - 55836*v - 21650409 Let l(p) = -716*p. Let b(h) = -45*h**2. Give l(b(n)). 32220*n**2 Let v(d) = 5*d. Let u(q) be the second derivative of -q**6/40 - 11*q**3/3 + 12*q. Let j(n) be the second derivative of u(n). Determine v(j(w)). -45*w**2 Let q(g) = 71793*g**2. Let n(f) = -f**2. Give n(q(s)). -5154234849*s**4 Let w(n) = -22*n - 1. Let l(t) = -14 - 18 + 32 + t. Give w(l(i)). -22*i - 1 Let x(w) = 15875*w**2. Let i(d) = 13*d. Calculate i(x(m)). 206375*m**2 Let u(q) = -q + 5. Let w(z) = -4. Let x(g) = 4*u(g) + 5*w(g). Let b(k) be the third derivative of k**4/6 - 7*k**2 - 4*k. What is b(x(d))? -16*d Let d(q) = q**2. Let n(x) = -35772*x**2. Calculate d(n(y)). 1279635984*y**4 Let u(w) = w**2. Let y(o) = 5904081*o**2. Determine u(y(d)). 34858172454561*d**4 Let g(x) = -2*x + 56. Let v(a) = 2*a**2 + 10*a + 5. Let k(w) = w**2 + 6*w + 3. Let p(o) = 10*k(o) - 6*v(o). What is g(p(q))? 4*q**2 + 56 Let i(q) = -q**3 + 7*q**2 + 3*q - 22. Let j be i(7). Let u(y) = 55*y**2. Let d(v) = v**2. Let m(a) = j*u(a) + 44*d(a). Let o(t) = t. What is m(o(z))? -11*z**2 Let c(j) = 456*j + 192. Let t(g) = 4*g + 2. Let w(m) = -c(m) + 96*t(m). Let k(n) = -13*n**2. Determine k(w(a)). -67392*a**2 Let h(m) = m. Let f(s) = 134942*s**2. Calculate f(h(a)). 134942*a**2 Let v(f) be the second derivative of 5*f**3/6 - f - 69. Let m(s) = 17*s. Calculate m(v(l)). 85*l Let o(c) = -2*c**2 + 2*c. Let b(a) = -49*a**2 + 84*a. Let v(f) = 7*b(f) - 294*o(f). Let r(y) = -3*y**2. Calculate v(r(q)). 2205*q**4 Let t(c) = 12*c**2 + 11*c - 11. Let i(w) = 6*w**2 + 6*w - 6. Let h(g) = 11*i(g) - 6*t(g). Let u(o) = -17*o**2. Give h(u(y)). -1734*y**4 Let p(t) = 70*t**2 + 42. Let q(o) = 2*o**2 + 4*o. What is q(p(k))? 9800*k**4 + 12040*k**2 + 3696 Let d(z) = -11617*z. Let s(m) = 31*m - 2. Determine s(d(y)). -360127*y - 2 Let r(a) be the second derivative of a**4/6 + 5*a. Let p(i) = i**3 - 4*i**2 - 5*i + 4. Let k be p(5). Let z(x) = 4*x**2 - k*x**2 - 2*x**2. Calculate r(z(d)). 8*d**4 Let j(o) = 18*o + 2. Let n(d) be the third derivative of d**5/60 + 51*d**2. Calculate j(n(h)). 18*h**2 + 2 Let v(m) = 4*m**2. Let a(w) be the third derivative of w**5/12 + 116*w**2. Calculate a(v(b)). 80*b**4 Let g(h) = h**2 + 12100*h. Let b(v) = 4*v. Determine b(g(f)). 4*f**2 + 48400*f Let s(n) = n**2. Let g(z) = 4*z**2. Let a(r) = 4*g(r) - 14*s(r). Let k(l) be the third derivative of -3/4*l**4 + 0 + 0*l**3 + 0*l + l**2. Give a(k(o)). 648*o**2 Let i(q) = -3*q**2 + 11*q + 311. Let n(a) = 12*a. What is n(i(p))? -36*p**2 + 132*p + 3732 Let x(g) = -2*g**2 - 13. Let l(i) = -i + 1993 - 1993. Calculate x(l(j)). -2*j**2 - 13 Let z(n) = 9*n + 27*n + 6591 - 6591. Let q(y) = -6*y**2. Determine q(z(h)). -7776*h**2 Let u(k) = 10*k. Let x(j) = 2*j + 249758. Determine x(u(a)). 20*a + 249758 Let d(p) = 738*p**2 - 12*p. Let a(k) = 100*k. Determine a(d(b)). 73800*b**2 - 1200*b Let y(u) = 49*u - 14*u - 21*u - 13*u + 75. Let x(k) = -2*k**2. Calculate x(y(a)). -2*a**2 - 300*a - 11250 Let d(q) = 2*q**2. Let s(v) = 3*v**2 + 64*v - 177. Determine s(d(r)). 12*r**4 + 128*r**2 - 177 Let m = -5 - -12. Let v(n) = 14*n**2 - 11 + 4 + m. Let d(k) = -k**2 - k - 1. Let o(t) = t + 1. Let p(w) = -2*d(w) - 2*o(w). Give v(p(q)). 56*q**4 Let m(g) = -14 - 10 - 18 - 15 + 28*g + 55. Let d(t) = 5*t. Give d(m(j)). 140*j - 10 Let y(p) = -87*p**2 - 15*p + 15. Let o(k) = -11*k**2 - 2*k + 2. Let n(u) = -15*o(u) + 2*y(u). Let h(f) be the first derivative of f**2 - 1. What is n(h(s))? -36*s**2 Let u(x) = -9*x**2. Let m(g) = -2036*g**2. Calculate u(m(r)). -37307664*r**4 Let j(n) = 49*n. Let m(y) = 3288*y. Give m(j(r)). 161112*r Let h(d) = d**3 + 2*d**2 - 6*d - 6. Let q be h(-3). Let l(n) = -10*n**2 + 3*n**2 - q*n**2. Let b(t) = -2*t. Calculate l(b(k)). -40*k**2 Let u(o) = -o + 2. Let r be u(-5). Let b(c) = -r*c**2 - 4 + 4. Let d(f) be the first derivative of f**3/3 + 8. Determine d(b(h)). 49*h**4 Suppose 4*q - 3 = 13. Let d(g) = 2*g - g - q*g + 6*g. Let k(f) = 3*f**2. Determine k(d(o)). 27*o**2 Let h(w) = 8*w + 11. Let o(f) = -3*f - 4. Let x(v) = -4*h(v) - 11*o(v). Let m(t) be the third derivative of t**5/15 + 5*t**2. What is x(m(i))? 4*i**2 Let v = -11 - -16. Let w(a) = -17 + 17 -
{ "pile_set_name": "DM Mathematics" }
/6)*-3 prime? True Suppose -7*p = -6*p - 87. Is p composite? True Let l be 4 + -3 - (-4436)/1. Suppose 2*z = -5*q + l, 4*q - 2*z - 3333 = 213. Is q a prime number? True Is 337*4*4/16 prime? True Suppose 3*j - 3*k = j - 37, 0 = k - 3. Suppose 0*s - 4*s + 3*w - 199 = 0, w - 148 = 3*s. Let n = j - s. Is n prime? False Suppose -2*b = -7*b. Suppose b = 2*y - 173 - 21. Is y a composite number? False Suppose 0 = -5*d + 4*q - 41, 5*q - 35 = 5*d - 2*d. Let j(c) = -2*c + 2. Let o be j(d). Suppose 0 = -y + o + 25. Is y a prime number? True Let m = -20 - -42. Let y be 48/m + (-2)/11. Suppose y*x - 37 = 153. Is x prime? False Suppose -2*n + 1140 = 4*p + 6, 0 = p - 3. Let l = -366 + n. Suppose 4*u + 0*b = -b + 146, 5*u - 5*b = l. Is u composite? False Let o(z) = 9*z**3 - 6*z**2 + z + 5. Is o(5) prime? False Suppose -5*h + 5*d + 5230 = 0, -2*d - 4181 = -4*h + 3*d. Is h composite? False Suppose -5*k + j + 576 = 0, 4*j + 239 = 2*k + 5. Let n = k - 64. Is n a composite number? True Is 3898/8*(-84)/(-21) prime? True Let h be 7/(-14)*(0 + 10). Is 1/h + 768/15 prime? False Let v = -10 - -41. Is v prime? True Let b be (-2)/8 + (-198)/8. Let c = 107 + b. Is c a prime number? False Suppose -2*x - x + 4*h = -4103, 0 = -x + h + 1366. Is x prime? True Let p(q) = -q**2 - 9*q - 1. Let d be p(-7). Suppose a - 66 = d. Is a composite? False Let w be 6/(-9) - (-11)/3. Suppose -2244 = -3*i + w*c, 0 = -4*c - 1 + 5. Is i prime? False Is ((-1 - 1) + 24)/((-2)/(-5)) a prime number? False Let k = -3 - 6. Let w(x) = -x**3 - 9*x**2 - x - 6. Let m be w(k). Suppose m*n + 69 = 5*n - t, 4*t = -2*n + 64. Is n a composite number? True Let x = 4 - 4. Suppose -t - 2*t + 234 = x. Suppose -5*n - u = -102 - t, -3*n = -3*u - 90. Is n a composite number? True Let o = 406 - -73. Is o prime? True Suppose 7*k - 3829 + 728 = 0. Is k composite? False Let n(k) = 87*k + 2. Let y = -2 + 3. Is n(y) prime? True Is (-1)/(-3)*(-2382)/(-2) composite? False Suppose l + 2*b - 4*b - 33 = 0, 2*l - b = 57. Suppose 5*g - r + 36 = 0, 5*r - 4*r = -4*g - l. Is 4/(-14) + (-681)/g a prime number? True Suppose -9*u = -6*u - 234. Let n = u + -39. Is n prime? False Let i = 830 + -333. Suppose 3*r = i + 298. Is r composite? True Suppose -16 = -3*f - 4. Let z = 3 - f. Is (z - 105/(-6))*2 a composite number? True Let f be (-8)/(-4) - 3 - -1. Suppose f = -h + 6*h - 2815. Is h a prime number? True Let p = -17 - -19. Suppose 0*l = p*l - 158. Is l composite? False Suppose 4*z + 264 = 5*a - a, -2*a = 2*z - 116. Is (-2)/(-3 - (-184)/a) a composite number? True Suppose -2*d + 4*t = 6*t - 260, -d - 3*t = -120. Let c = d - -204. Is c prime? False Suppose 0*u = u - 4*m - 22, -2*m = -5*u + 38. Suppose -27 = 3*c - u*c. Is (-2)/c + (-1340)/(-36) composite? False Suppose -s + 30 = 4*s. Suppose 0 = j + 5*i - 734, s*j - 3800 = j + i. Suppose -5*n + j - 104 = 0. Is n a composite number? False Let c(b) = -2*b**2 + 2*b + 3. Let l(v) = 3*v**2 - 3*v - 5. Let q(r) = -7*c(r) - 4*l(r). Is q(3) a prime number? True Let r = 103 - -220. Is r prime? False Let h = 742 + -509. Is h a prime number? True Suppose 3*j - 13 = 53. Let x be -1 - (-3)/(-6)*j. Is (x/16)/((-2)/56) a composite number? True Suppose 0 = 3*u - d + 4*d - 51, 3*d = -4*u + 72. Is u composite? True Let n(j) = -j**3 + 4*j**2 + 4*j + 4. Suppose -2 = 3*h - 20. Suppose h = -4*a - 6. Is n(a) prime? False Let z(u) = u**2 + 12*u**2 + 1 - u + 21*u**2 + 6*u. Is z(4) composite? True Let g(l) = -4 + 2*l + 2*l + l**3 + 2 - 5*l + 5*l**2. Let x(w) = w**2 + 2*w - 5. Let h be x(-4). Is g(h) prime? True Let v(f) = -f**3 + 6*f**2 + 6*f + 10. Let c be v(7). Suppose 0*o - 128 = -4*r + c*o, -47 = -r - 3*o. Let s = 14 + r. Is s prime? False Suppose -4232 = -11*v + 3*v. Is v prime? False Suppose 5*l = f + 21, l + 13 = -2*f + 4. Is 2 - 21/f*34 composite? True Let k = 2 - 102. Let h = 185 + k. Is h a composite number? True Let c be (-9)/(-4) - (-2)/(-8). Let d be 6/15 - (-18)/5. Suppose d*m = -2*x - 2*x + 344, 409 = 5*x - c*m. Is x composite? False Let s = -1 - -1. Suppose o - r - 7 = s, o = 5*r + 16 + 7. Suppose o*j - 147 = -0*j. Is j composite? True Let s(o) = -6*o**2 - 2*o**2 + o**3 - o + 2*o**2 + 6. Let p be s(7). Suppose 0 = 4*x - 4*f - 84, -5*x = -3*x - 5*f - p. Is x prime? True Let i be (0 - -1)/((-2)/(-82)). Let g = 72 - i. Is g composite? False Let s = 1839 + -902. Is s prime? True Let q(r) = r**2 - 6*r - 3. Let o(j) = -j**3 + 8*j**2 + j. Let z be o(8). Let p be q(z). Suppose l = -p + 92. Is l prime? True Let f = 39 - -14. Is f a prime number? True Let q = 4 - -1. Suppose 4*y - 64 = 2*y + 3*p, -5*y - q*p = -185. Is y prime? False Let r(o) = -o**2 - 1 + 7*o - 11*o + 2*o**3 + 5. Let q = 6 + -3. Is r(q) a composite number? False Is 5517 + (-1)/(6/12) composite? True Suppose -296 = -4*x - 28. Suppose 0 = -5*l + x + 63. Is 0 + 2 + l + 3 a prime number? True Suppose -q + k + 4 + 0 = 0, -3*q + 5*k = -2. Suppose 2*f - q = -f. Let x(y) = 10*y**2 + 2*y - 3. Is x(f) a prime number? False Let l(t) = -t + 6. Let y be l(6). Let p(x) = 40*x**2 - 5 - 41*x**2 + x + x**3 + 7. Is p(y) a prime number? True Let s be (-5 + -2 + 3)*-1. Is (4/s)/3*573 prime? True Suppose -986 + 3860 = 6*k. Is k composite? False Let r(f) = f**3 - 4*f**2 - 4*f + 1. Let x = -3 - -8. Let k be r(x). Let o = k - -4. Is o prime? False Suppose -3*h = -l - l - 412, 3*h - 4*l = 416. Let j = 163 + h. Is j composite? True Let i = 863 + -589. Suppose 3*a = i + 95. Let s = -8 + a. Is s composite? True Suppose -2 = -q - 0*q. Suppose 3*t = 2*t + 4*b, q*t = 4*b + 4. Suppose -i - 38 = -t*d + 136, d - 49 = 3*i. Is d a composite number? False Suppose 2*t + 5*u = 9, -2*t + t + 4*u + 11 = 0. Is (-1738)/(-8) - t/28 a prime number? False Suppose 4*k = 5*k - 124. Suppose -k - 126 = -5*d. Suppose 0 = 2*o - 26 - d. Is o a prime number? False Let u be 1/4 - 14/(-8). Suppose 1036 = 2*z + u*z. Is z a composite number? True Suppose -5*k - 10 = 0, -3*n - 142 = -7*n + 3*k. Is (n/(-6))/((-4)/156) a prime number? False Suppose -i - a = -0 - 3, -3*a - 21 = -3*i. Let x = -3 + i. Suppose -x*u + 74 = -0*u. Is u a prime number? True Suppose 0 = 3*x - 12 + 3. Let k(n) = 5*n**2 + n - 1. Let j be k(1). Suppose j*v - 98 = -q, -5*v + x*q - 31 = -117. Is v composite? False Let r(l) = l + 7. Let a be r(-5). Let m be a + (-1 - 1)/(-2). Suppose -5*s - 3*x + 41 = -m*s, -5*x = -25. Is s composite? False Let p(o) = -o**2 + 9*o - 11. Let i be p(8). Let b(n) = -n**3 - 3*n**2 + 2*n - 4. Let f be b(i). Is (-10)/25 + (-134)/f prime? True Suppose -2*i + u = 10, i + 15 = -0*i + 3*u. Is (1/i)/((-3)/765) a prime number? False Suppose -2*a = -4*o - 504, -a = 2*o - 0*a + 248. Let u = o + 182. Suppose t = -0*t + u. Is t a composite number? True Suppose 0*u + 3 = -3*u. Is 19 - ((1 - u) + -4) prime? False Let h = -927 + 416. Let p = -182 - h. Is p prime? False Suppose 0*q - 6*q + 2238 = 0. Is q a prime number? True Let c be 1*(5 + -2) + 298. Let a = c + 142. Is a prime? True Let u(y) = -366*y**3 + 3*y**2 + 7*y + 9. Is u(-2) a composite number? True Let i(a) = -2*a**3 - 5*a**2 + a - 7. Let u(x) = 2*x + 1. Let k be u(-4). Is i(k) a prime number? False Suppose 0 = 4*c + 86 + 18. Let w = c - -10. Let h = w + 23. Is h composite? False Let m = 29 - 18. Is m a prime number? True Suppose 0 = 5*b + u - 9087, 4*u + 3 - 11 = 0. Is b prime? False Let c = 48 + -34. Is c a prime number? False Let x(a) = a. Let i be x(12). Is ((-296)/i)/((-1)/3) a composite number? True Let c(o) = o**3 + 6*o**2 - 8*o + 4. Is c(-7) prime? True Suppose -5*w = 4*f - 12, 4*w = 5*f - 4 - 11. Suppose -4*u - f*s = -6*s - 16, 4*s - 8 = -2*u. Is (-63)/(-5) - u/(-10) a composite number? False Let u(n) = 184*n**3 + n**2 - n + 1. Let h(o) = -o**3 + 4*o**2 + 1. Let z be h(4). Is u(z) a prime number? False Let f be 7/(-5) - (-4)/10. Let b(z) = -521*z**3 - z**2. Let u be b(f). Suppose -3*c + u = 49. Is c composite? False Let y(p) = 4*p**2 + 2*p + 2. Let h = 4 - 9. Let b be y(h). Suppose -4*k = 4*r - 92, -4*k + 3*r = -r - b. Is k a composite number? False Suppose -20*r + 150928 - 22988 = 0. Is r prime? True Suppose 178 = s + s. Is s composite? False Let m(i) = 5*i + 5 + 2*i - i**2 + 3 - 3. Let q be m(7). Suppose -f + 165 + 547 = q*u, -3*u + 4*f + 441 = 0. Is u composite? True Let i = 3 - 3. Suppose 4*l + 0 + 4 = i. Is -3 + 4 - (-35 + l) prime? True Sup
{ "pile_set_name": "DM Mathematics" }
*(3/13) assuming j is positive. j**(-88/13) Simplify (((u*u**(7/12))/u)**(-20/7)*u**(2/55)*u**42)**(-15) assuming u is positive. u**(-6661/11) Simplify ((y**(2/3))**(-46)*(y/(y**(1/4)*y))**(-3/5))/((y**(2/5)/y)/(y/y**1))**(-42) assuming y is positive. y**(-3343/60) Simplify ((g/g**(-2)*g)**16/((g/((g*g**(-4))/g))/g*g/g**11*g))**(5/7) assuming g is positive. g**(345/7) Simplify ((y/(y**(-1/3)/y))**(-44)*y**(-2/31)*y**(-6)/y)/((y/(y/y**(-1/10)*y*y))/(y*y/(y*y**(2/3))))**(2/3) assuming y is positive. y**(-150812/1395) Simplify ((z**(-2/13))**(-4/9)/(z**(1/40)/z*z/z**(-2)))**(13/6) assuming z is positive. z**(-9157/2160) Simplify ((g**(-1))**(-7)/(g*g**(2/3))**7)/(g**6/g*g*g/(g/(g**(2/9)/g*g)))**(-3/2) assuming g is positive. g**(14/3) Simplify ((k*k**42)/k)/(k*(k*k**(-27/4))/k)*(k*k/k**5*k)**12 assuming k is positive. k**(95/4) Simplify ((((j*j/j**(26/3))/j)/j*j)/j**2*(j**(-9/7)*j)**(-19/5))**(1/17) assuming j is positive. j**(-53/105) Simplify (((i**(7/4)*i**(-6)*i)/(i**(-6)/(i*i/(i*(i**(-9)*i)/i)*i)))**(-1/8))**20 assuming i is positive. i**(-275/8) Simplify (((i*i/i**(-5))/(i*i/i**5)*(i**(3/7)/i*i)/((i/i**1)/i))**(1/65))**47 assuming i is positive. i**(752/91) Simplify p/(p**(-1/2)/p)*p*p*p**(-20)/p*(p**(2/35)/p)/p**(2/9) assuming p is positive. p**(-11129/630) Simplify (x/(x**6/x))/x**2*(x*x**(-2/7)/x)/(x**(1/3)/x*x)*((x*x/(x*x**(-2/5)/x)*x)/x*x**(-1/4))**(-5/6) assuming x is positive. x**(-471/56) Simplify ((y**(1/14)*y*((y**(5/6)/y)/y*y)/y)/(y/y**8*y**1))/(y**(-11)*y**(-5/6))**(-2/63) assuming y is positive. y**(1045/189) Simplify ((u/((u*u**3*u)/u))/(u/u**(-9)))**(-20)*(u**1)**(-7/2)*(((u*u**(-1))/u)/u)**11 assuming u is positive. u**(469/2) Simplify (u*u**0)**(-28)*u**3*u*u/(u*u**5*u)*u**(-8)/u*u**(-1)*(u*(u/(u*u*u/((u*u*u**(-2)*u)/u)))/u)**18 assuming u is positive. u**(-76) Simplify ((o*o/o**(1/2))/((o*o**(-6/7)/o)/o)*(o**0*o)**(2/17))/((o**(1/3))**(-3/5))**(-20) assuming o is positive. o**(-125/238) Simplify ((b**(1/4)/b)**(-4)/(((b*b*b**0/b)/b*b)/b)**(1/2))/(((b*b**(1/8))/(b/((b**(-2/5)*b)/b)))/((b/b**1*b)/(b/(b*b**(-3))*b*b*b))) assuming b is positive. b**(-69/40) Simplify ((h**(1/4)/h)/h**6)**(-3/14)*h*(h/h**(1/7)*h)/h*h**(-7)*h**(-6/5)/(((h/h**(-2/11))/h)/h) assuming h is positive. h**(-12561/3080) Simplify ((u**(2/13)/u)/u**0)/(u/(u**1*u*u))**(-19)*(u**6/u**(-9))/(((u*u**(-3))/u)/(u**1/u*u)) assuming u is positive. u**(-258/13) Simplify ((k*k**(-2/7))/k*k**(-3)*(k*k**(-1/4))/k*k**(-3/5)/k*k)**(-42) assuming k is positive. k**(1737/10) Simplify (((i**5*i/(i/(i/(i**(2/3)*i*i))*i))**(3/17))**20)**42 assuming i is positive. i**(5880/17) Simplify (g**4*g/(g**(-9)/g))/(g**(-2))**17*(g*g**3*g/g**3)/((g*g**(1/15)*g)/((g**7/g*g)/g)) assuming g is positive. g**(824/15) Simplify ((r**(2/17)/(r*r/r**(1/11)))/((r*r/r**2)/((r**(2/15)/r)/r*r)))/((r**(1/4))**29*(r/(r**(2/5)*r*r))/(r**1*r)) assuming r is positive. r**(-73021/11220) Simplify (((t**(21/5)*t*t)/t*t*t**(-7))/(t**(-40))**4)**(35/4) assuming t is positive. t**1393 Simplify ((u*u**(-6))**50/(u**(-2/5)*u**(-4/9)))**(-2/45) assuming u is positive. u**(22424/2025) Simplify (t*t**(1/6)*t*((t*t**(-4/3))/t)/t)**(1/12)*(t**(-1))**(14/11)*t**(-2/7)/(t*t**(1/6)*t) assuming t is positive. t**(-20729/5544) Simplify (f**(1/2)/f**(1/3))**(-13/8)*((f**(-1))**(5/3))**(-38) assuming f is positive. f**(1009/16) Simplify (x**(-1))**(-12/11)/(x*((x**(2/37)*x)/x)/x)**(-2/25) assuming x is positive. x**(11144/10175) Simplify (u**(-9)*u*u**(-5)*u)**(-1/32)*(u**(-2/23)*u**(1/19)/u)**(-24) assuming u is positive. u**(88095/3496) Simplify (n**5/(n*n*n**(2/5)*n)*(n/(n*n/n**0))**38)/(n/(n*n/n**(-1))*n**4*n)**(-27) assuming n is positive. n**(223/5) Simplify (l*((l*l*l*l/((l**(1/8)/l)/l))/l)/l*l)/l*l**(-2/15)*l**(-1/6)*l**(3/4)*(l**(-1/3))**(-5/4)/(l**(1/3)/l**(-2)) assuming l is positive. l**(409/120) Simplify (b*b**(-2)/b*b*(b**(4/3)/b*b)/b)**26*(b/(b*b**(-11)/b)*b/(b**(-3)*b*b))**(10/7) assuming b is positive. b**(8/3) Simplify ((n**0)**(-2/123))**(-1/47)/(n*n**(2/13)*n/(n**(-6)*n)*n*n**(-1/3)*n/(n/(n/n**5))) assuming n is positive. n**(-149/39) Simplify ((r/(r/((r*r*r**(-2/23))/r)))/r*r**(-6))/(r**(1/4)/r**(-1/6))*(((r/r**(-6))/r)/(r**1/r))/(r**(3/2)/(r**7*r)) assuming r is positive. r**(1655/276) Simplify ((d**(-2/27)/d)/d**(-15)*d**(-5)*(d/d**(-4))/d*d)**(-18) assuming d is positive. d**(-752/3) Simplify (((z**(-1)/z)**34*z/(z/(z/(z**(-7)/z)))*(z**(-9)/z)/z)**(-5))**(-41) assuming z is positive. z**(-14350) Simplify (((y**3/(y/y**11))/(y**8/(y/(((y/(y**(-11)/y)*y)/y)/y))))**(-24))**(-2/29) assuming y is positive. y**(-288/29) Simplify (i**(2/13)/(((i*i*i**(3/4))/i*i)/i))**(-5/11)*(((i/((i/(i**1/i))/i))/i)/((i/i**(-2/3))/i))**14 assuming i is positive. i**(-14771/1716) Simplify ((p/(p**(-2/19)/p))/(p/p**(5/4)))**18*p**6*(p*p*p*p/p**(-2/5))/p*p*(p*p**(1/3))**(-1/16) assuming p is positive. p**(60091/1140) Simplify ((p**(-1/2)*p*p*p**(-3/11)/p*(p/p**(1/2))**(-16/5))**(-31))**(-27) assuming p is positive. p**(-126387/110) Simplify (i*i**(-1)*i**(2/17))/(i/(i/(i**(-1)/i)*i)*i)**(-15)*(((i*i*(i/i**(-2/9))/i*i)/i*i)/i*i**(-1))**(-8/9) assuming i is positive. i**(-42644/1377) Simplify (f/(f*(f/((f*f**(-8/7))/f))/f)*f*(((f/(f*f**(-2/11)*f*f))/f)/f)/f)**36*((f**(-6)*f)/((f/((f**7/f)/f))/f))**24 assuming f is positive. f**(-13752/77) Simplify ((c*c**1/c)**(-16))**(-2/99)/(((c**5*c)/c**(-5))/(c**(-2/11)/c**(2/3))) assuming c is positive. c**(-1141/99) Simplify ((o**(-1/2)*o)**(1/11)*o**(3/7)/(o/((o*o*((o*o**(-1/5))/o*o)/o)/o)))/((o**(-1))**(-4/39)*(o/(o**2/o))/o**6) assuming o is positive. o**(185329/30030) Simplify (v**9/(v*v*v/((v/v**(3/8)*v)/v)))**(-29)/(((v*v**(2/11))/v**(-3/10))/((v/v**(-3/7))/(v**5/v))) assuming v is positive. v**(-604229/3080) Simplify ((h/(h*h**(-1/2)))**(1/4)/(h**(-3/5)/(h*h**3*h*h)))/((h**(2/3))**(2/17))**3 assuming h is positive. h**(4413/680) Simplify ((m**(-1/3)*m)**26)**(-47)*(m/m**(1/2)*m*m)**(-4/9)*(m/(m/(m*m*m**0)))**(-1/18) assuming m is positive. m**(-7343/9) Simplify (((((k/(k*k/(k*k**(-3)/k))*k)/k*k)/k)/(k*k*k*k/(k/k**(1/5))*k*k)*k/k**7*k/k**(1/6)*k)**13)**(-38) assuming k is positive. k**(99047/15) Simplify ((o*o/(o*o*o**(2/7)/o))**46/((o**6*o)/o**3))/((o**(-1/4))**(11/3)/(o**6*o*o*o**2)) assuming o is positive. o**(3341/84) Simplify c**(-1/3)*c*(c*c*c*c*c**(-6)*c*c*c)/c*c*c*c*(c**(-5)/c)/c*c**(-5)*(c**(2/11)/(c/(c*c*c**1/c)))**25 assuming c is positive. c**(700/33) Simplify ((x**12)**27/(x*x**(-14)*(x**34*x)/x))**(-26) assuming x is positive. x**(-7878) Simplify (g**8/g**(-3)*g**(-7)*g**(-1/5))/((g*g**0*g)**(-8/11)*g**(2/17)*g**(-2/5)) assuming g is positive. g**(5177/935) Simplify (x**(-1))**(44/3)/(x**(-8)*x*(x/(x/(x**(5/6)*x)))/x)*x/x**5*x**(-2/9)*x**(-1/2)*x*x*x*x*x**7*x assuming x is positive. x**(-11/9) Simplify ((k**6/k)/((k/(k/(k**(-3/2)*k)))/k)*k**5*k*k*k**2)/((k/((k*k**(-5/2)*k)/k*k))/(k**(1/3)/k)*(k**1*k*k)**(-1/2)) assuming k is positive. k**(89/6) Simplify (((k**(1/3)/k)/k*k)**(-15/7))**49/((k/(k/((k/k**(2/5))/k)))/k**(-1)*(k/(k/(k*k/(k*k/(k/k**1)))))**(-1/15)) assuming k is positive. k**(347/5) Simplify ((c**4)**(-26)/(c**(2/13)/(c/(c*c**(-17)))))**18 assuming c is positive. c**(-20394/13) Simplify (n**(2/7))**(-2/17)/(n/n**1)**(3/11)*((n/n**(-2))/(n/((n*n**(-2))/n*n)))**21 assuming n is positive. n**(2495/119) Simplify (((t/(t*t*t**4*t*t))/t**12)**30)**(-50) assuming t is positive. t**28500 Simplify ((r/(r*r*r**(-2)))/(r/(r/r**(-1/13)))*(r*r/(r/r**(-3)))**19)**34 assuming r is positive. r**(-16320/13) Simplify ((c*c**6*c*c*c*c**(6/5))/((c*c**4)/(c*c*c/c**6*c*c)))/(c**(-2)/c**(-6)*(c**2/c)/(c*c**4)) assuming c is positive. c**(26/5) Simplify ((((z**1)**6)**50)**(2/3))**30 assuming z is positive. z**6000 Simplify ((r*r*(r**(-16)/r)/r*r/(r*r**(-16)/r))/(r**(-8)*r*r/r**(-13)))**(-3/14) assuming r is positive. r**(9/7) Simplify (z**(2/13)/z**(-1/10))/(z**(2/7)*z)**(-49)*((z**0/z)/(z**(5/4)*z))**(2/191) assuming z is positive. z**(784874/12415) Simplify ((t**2*t)**(7/5))**27/(t**(-3)*t**3*t*t**(-1)*t**7/t) assuming t is positive. t**(537/5) Simplify ((y*(y/y**9)/y)**(-11/3)/(y**1/y**(-1)))**28 assuming y is positive. y**(2296/3) Simplify k/(k**(4/5)/k)*k**(1/5)*k*((k**(-4)*k)/k)/(k*k*k*(k*k/(k/(((k/(k*k**39/k*k*k*k))/k)/k*k)*k))/k*k*k) assuming k is positive. k**(182/
{ "pile_set_name": "DM Mathematics" }
2*q(r). Give f(l(i)). -228*i - 132 Let f(v) = 6232420*v. Let z(l) = -2*l**2. Determine f(z(s)). -12464840*s**2 Let a(t) = -20*t**2. Let k(o) = 113676*o**2. Give k(a(r)). 45470400*r**4 Let b(s) = 3*s**2 - 22*s - 6633. Let r(j) = -2*j. Give b(r(n)). 12*n**2 + 44*n - 6633 Let i(b) = 5*b**2. Let j(t) = -10112*t + 11 - 10109*t + 1 + 20219*t. Give i(j(y)). 20*y**2 - 240*y + 720 Let d(r) = -2*r**2 + 107*r. Let j(s) = -40*s - 4. Let p(y) = -59*y - 6. Let a(o) = -6*j(o) + 4*p(o). Calculate d(a(u)). -32*u**2 + 428*u Let a(m) = -228 + 3*m + 228 - 3*m - 5*m. Let l(r) = 3*r - 124. Give a(l(n)). -15*n + 620 Let j(m) = 18*m**2. Let x(n) = -41*n**2 + 28*n - 2. Let y(o) = 820*o**2 - 574*o + 41. Let s(d) = -123*x(d) - 6*y(d). What is j(s(z))? 272322*z**4 Let n(g) = 6*g**2. Let h(y) = 59*y**2 + 38. Let t(m) = -118*m**2 - 82. Let w(c) = -13*h(c) - 6*t(c). Calculate w(n(p)). -2124*p**4 - 2 Let o(v) = 7*v**2 - 241. Let c(y) = 8293820 - 2*y - 8293820. Give o(c(l)). 28*l**2 - 241 Let o(s) = 14*s**2 + 5*s - 10. Let t(c) = -c + 2. Let n(p) = 2*o(p) + 10*t(p). Let q(k) = 12*k. What is n(q(j))? 4032*j**2 Let g(k) be the first derivative of -2*k**3/3 - 968. Let i(n) = 4*n - 8. Let x be i(8). Let s(u) = x - 24 + 38*u. Calculate s(g(h)). -76*h**2 Let u(p) = 91150*p**2. Let m(l) = -3026*l. Determine m(u(d)). -275819900*d**2 Let p(x) be the second derivative of -5*x**4/12 - 137*x + 9. Let q(l) = 997*l. What is p(q(b))? -4970045*b**2 Let k(g) = -7075962*g. Let q(y) = -y. Determine q(k(z)). 7075962*z Let i(q) = -4*q. Let m(g) be the second derivative of 3*g**5/40 - 9*g**3/2 - g**2 - 26*g. Let p(h) be the second derivative of m(h). What is p(i(s))? -36*s Let k(t) = 2*t**2. Let y be (12/(-4))/(-3 + (-306)/(-105)). Let o(w) = 36*w - 84*w - 32*w - y*w. What is o(k(g))? -230*g**2 Let n(g) = -2*g + 1128. Let f(v) = -2*v**2 - v + 197. Determine f(n(o)). -8*o**2 + 9026*o - 2545699 Let k(d) = -d**2. Suppose 3*n - 133 = 35. Let c(o) = n + 333*o**2 - 107 + 51. Calculate k(c(j)). -110889*j**4 Let k(o) = 2541*o + 2. Let q(j) = -10030*j**2 + 20056*j**2 - 10027*j**2. Calculate k(q(u)). -2541*u**2 + 2 Let z(i) = 780869*i + 780872*i - 1561742*i. Let w(f) = 839*f**2 - 11*f. Let h(a) = 210*a**2 - 3*a. Let k(d) = 22*h(d) - 6*w(d). Give z(k(r)). 414*r**2 Let n(p) = -p. Let r(s) be the third derivative of 0 + 0*s**3 - 571/60*s**5 - 11*s**2 - 1/12*s**4 + 6*s. What is r(n(j))? -571*j**2 + 2*j Let i(b) = 433*b - 888*b + 457*b. Let g(c) = -426*c + 22. Calculate i(g(z)). -852*z + 44 Let w(z) = 5635*z - 2795*z - 2823*z. Let t(p) = -26*p**2 + 2*p. Calculate w(t(q)). -442*q**2 + 34*q Let w(r) be the third derivative of 87*r + 0*r**3 + 0 + 0*r**4 + 4/15*r**5 + 2*r**2. Let v(c) = -5*c**2. Determine w(v(s)). 400*s**4 Let v(q) = -21*q. Let g(d) be the second derivative of 0*d**2 - 1/6*d**4 + 13*d + 0*d**3 + 0. What is v(g(u))? 42*u**2 Let j(t) = 10*t + 9 - 8*t + 4*t. Let n(b) = 236*b**2 - 58*b**2 - 63*b**2 - 116*b**2. Calculate j(n(s)). -6*s**2 + 9 Let y(j) = -10*j. Let b(s) = -3*s. Let n(u) = 21*b(u) - 6*y(u). Let m be (8/10)/((-4180)/1050 - -4). Let q(a) = 81*a**2 - 41*a**2 - m*a**2. Give q(n(h)). -18*h**2 Let p(a) = -2*a**2. Suppose 5*z - 1216 = -o - 0*z, -4940 = -4*o - z. Let u(w) = w - o + 1236. Let x(n) = -n. Let f(j) = 5*u(j) + 6*x(j). Calculate f(p(m)). 2*m**2 Let s(m) be the second derivative of m**4 - 67*m - 7. Let f(h) = 21*h. Give s(f(q)). 5292*q**2 Let n(i) = -40*i**2. Let b(f) = 2*f**2 + 47*f + 31. Let o be b(-23). Let h(c) = -3*c + o*c - 4*c. Calculate n(h(v)). -40*v**2 Let b(m) = 14*m. Let d(n) = -23*n**2 + 3*n + 351. Determine b(d(z)). -322*z**2 + 42*z + 4914 Let a(s) be the second derivative of -s**7/1260 - 55*s**4/12 + s**3/6 + 7*s + 4. Let y(b) be the third derivative of a(b). Let x(f) = 2*f - 3. What is x(y(p))? -4*p**2 - 3 Let l(n) = -26*n**2. Let y(f) = -1672338*f**2. Determine y(l(k)). -1130500488*k**4 Let l(j) = 4*j. Suppose -5 = 5*p - 20. Let o(g) be the first derivative of 9 - 17*g**p + 10*g**3 + 9*g**3. Give l(o(i)). 24*i**2 Let b(l) = l**2. Let n be (39/13)/((-6)/(-8)). Suppose n*g - 51 = -0*u - u, 5*g = -2*u + 66. Let a(p) = g*p + 19*p - 25*p. What is b(a(j))? 36*j**2 Let u be (1380/48)/(2 - 14/8). Let x(i) = 57 - u - 27*i + 58. Let k(w) = 0 + 2 - 2*w - 2. Determine x(k(p)). 54*p Let r(u) = -3*u. Let j(c) be the second derivative of -115*c**4/4 - c + 1307. Calculate j(r(z)). -3105*z**2 Let b(h) = -h**2. Let z(m) = -391498807*m. What is z(b(i))? 391498807*i**2 Let u(n) be the second derivative of 17*n**4/12 - 2*n + 232. Let x(w) = 39*w. Calculate x(u(o)). 663*o**2 Let h(c) = 2*c. Let m(s) = -2*s - 11. Suppose 3*q - 36 = 5*o, 2*o - 29 = 8*q - 13*q. Let z(n) = n + 3*n - 4 - 5*n - 3. Let t(w) = q*z(w) - 5*m(w). Give h(t(i)). 6*i + 12 Let b(m) = -m. Let t(r) be the first derivative of -91*r**3/3 - 120*r + 84. Let x(s) be the first derivative of t(s). Give b(x(q)). 182*q Let q(v) = 3*v. Let j(h) = h**2 + 3*h - 16. Let o be j(3). Let f(c) = -17 + 170*c**o - 171*c**2 - 14. What is f(q(i))? -9*i**2 - 31 Suppose 3*f - 7091 = -4*x + 770, 5874 = 3*x - 5*f. Let t(s) = -21*s**2 + 0*s + 1963 - x - 124*s**2 - s. Let n(w) = 2*w**2. Give n(t(m)). 42050*m**4 + 580*m**3 + 2*m**2 Let p(j) = 3*j + 4. Let a(s) = 2*s + 2. Let x(i) = 2*i + 5. Let c(g) = -2*a(g) - x(g). Let n(m) = 4*c(m) + 9*p(m). Let z(d) = 22*d**2. Calculate n(z(t)). 66*t**2 Let q be 1 - (-4)/3*12/8. Let k be q + (-10)/8 + (-1)/(-4). Let w(p) = 157*p - 157*p + 2*p**2 - p**k. Let o(m) = 21*m. Give w(o(u)). 441*u**2 Let o(r) = r**2 + 41*r. Let j(u) be the second derivative of u**5/60 + 58*u**2 - 16*u. Let w(d) be the first derivative of j(d). Give w(o(i)). i**4 + 82*i**3 + 1681*i**2 Let f(p) = -7*p. Let k(r) = -4280*r**2 - 162*r + 11. What is f(k(n))? 29960*n**2 + 1134*n - 77 Let y(i) be the first derivative of i**2/2 - 4476. Let p(a) = 6*a**2 + 12*a + 3. Determine y(p(g)). 6*g**2 + 12*g + 3 Let q(i) = 2*i. Let x(a) = 26*a. Let j(v) = 880*v. Let c(z) = -3*j(z) + 100*x(z). Determine c(q(b)). -80*b Let f(n) = -4*n. Let s(o) = -132*o - 126*o + 256*o. Let z(g) = -11*g. Let j(c) = 6*s(c) - 3*z(c). What is j(f(y))? -84*y Let y(g) = g**2. Let p(c) = 7 + 30 - 4 - 1376*c + 1337*c. Determine y(p(o)). 1521*o**2 - 2574*o + 1089 Let u(r) be the first derivative of -4*r**3/3 - 54247. Let x(p) = -3*p + 1 - 4 - 2. Calculate x(u(v)). 12*v**2 - 5 Let n(f) = -f**2. Let b(k) = 12258686*k. Determine b(n(h)). -12258686*h**2 Let v(i) = 2*i**2 + 9. Suppose 2*b + 4*t + 9 = 7*t, b + 17 = 4*t. Let h(c) = 6 - b*c**2 + 2*c**2 - 37 + 31. What is v(h(o))? 2*o**4 + 9 Let c(u) = -2*u**2. Let p(t) be the first derivative of -173*t**2 - 3*t + 6030. Calculate p(c(z)). 692*z**2 - 3 Let i(h) = -4098*h. Let a(j) = -1082*j - 2. Determine a(i(l)). 4434036*l - 2 Let j(i) = 4*i**2. Let b(z) = 93971523*z**2. Give b(j(l)). 1503544368*l**4 Let a(o) = -3850*o**2 + o. Let s(y) = -796*y**2. Determine a(s(d)). -2439421600*d**4 - 796*d**2 Let a(x) be the second derivative of 8*x**4 + 2*x - 752. Let r(c) = -17*c**2. What is r(a(n))? -156672*n**4 Let v(j) = -2*j + 91. Let r(w) = -149*w**2 + 5. Let g(b) = -180*b**2 + 6. Let p(d) = 5*g(d) - 6*r(d). Give v(p(a)). 12*a**2 + 91 Let c = 72 - -52. Suppose 0 = 5*m - m - a - c, -2*a + 93 = 3*m. Let d(n) = m*n**2 - 15*n - 5*n**2 + 15*n. Let r(t) = t. Determine r(d(g)). 26*g**2 Let a(u) = -2*u**2. Let f(y) be the first derivative of -9*y**2/2 + 7*y + 604. Give a(f(d)). -162*d**2 + 252*d - 98 Let g(c) be the second derivative of -7*c**3/6 + 10*c - 15. Let h(u) = u. Let x(a) = 4*a - 5*a + 4*a + 5*a. Let b(y) = 5*h(y) - x(y). Give b(g(l)). 21*l Let d(u) = -2*u**2. Suppose 7*l - 203023 - 108799 = 0. Let x(j) = -19*j - l + 44546. Determine d(x(y)). -722*y**2 Let j = -43 - -79. Let q(n) be the first derivative of 52*n**3 - 10 + n - j*n**3 - n. Let l(x) = x. Determine l(q(o)). 48*o**2 Let r(q) = -11*q**2 + 30*q - 5. Let j(x) = -2*x**2 + 6*x - 1. Let g(y) = 5*j(y) - r(y). Let v(l) = 14*l - 108. What is g(v(t))? 196*t**2 - 3024*t + 11664 Let f(v) be the third derivative of -95*v**4/24 + 8995*v**2. Let o(u) = -11*u**2 + 17. Let k(c) = -4*c**2 + 6. Let x(h) = 17*k(h) - 6*o(h). Give x(f(b)). -18050*b**2 Let m(o) = -2*o + 51. Let j(a) = -60177*a**2 - 2. Determine m(j(w)). 120354*w**2 + 55 Let o(b) = -167*b**2 + 2. Let c(g) = -10*g**2 + 3*g - 6. Let a(n) = -519*
{ "pile_set_name": "DM Mathematics" }
(j). 1 Let x(z) be the first derivative of z**2/2 + 4*z + 13. Determine x(4). 8 Let a(f) = f**2 + 3*f - 2. Let b be (-11)/(-4) + 5/20. Suppose -b*w - w = k - 6, -4*w + k = -10. Suppose 0 = w*s + m - 0*m, 5*s = 5*m + 30. Determine a(s). 8 Let u(c) = -c - 1. Let b be -3*((-10)/(-12) - (-2)/4). What is u(b)? 3 Let c(k) = -13*k**3 - 20*k**2 - 15*k - 3. Let u(l) = 3*l**3 + 5*l**2 + 4*l + 1. Let s(v) = -2*c(v) - 9*u(v). Determine s(-4). 5 Suppose 0 = 2*i + 3*b - 5, -14 = -3*i + 2*b - 0*b. Let n(a) = 14*a - 20. Let u(f) = -5*f + 7. Let s(q) = i*n(q) + 11*u(q). What is s(5)? 2 Let z(p) = -p**2 + 7*p - 5. Let c be z(6). Let x(g) = -7*g + 12. Let m(y) = y - 1. Let v(w) = c*x(w) + 6*m(w). What is v(5)? 1 Suppose i + 3 = -2*o, 1 - 3 = -2*i - 2*o. Let r(x) = x**2 - 6 - 2*x**2 - i*x + 3*x**2 - 3*x**2. Let y be (5/(-2))/(1/2). Calculate r(y). -6 Let v(n) be the third derivative of 7*n**4/24 - 2*n**3/3 - 13*n**2. Calculate v(3). 17 Let k(i) = 10*i - 40. Suppose b - 2*b - c = 4, -c = 4*b + 13. Let z(j) = -2*j + 8. Let g(x) = b*k(x) - 16*z(x). What is g(6)? 4 Let z be (-1)/((6/(-4))/3). Let i(s) = -2 - s**3 + s + z*s**2 - 1 - s**2 + 1. Let j be (-4)/(-6) + (-2)/3. What is i(j)? -2 Suppose 2 = d - 4*f, -2*d + 4*f + 2 = -2. Suppose 3*u - 1 = d. Let c(s) = 8*s**3 - s**2 + s - 1. Give c(u). 7 Suppose 0 = 4*g - 3 - 1. Let m(y) = -11*y**3 - 5*y**2 - 5*y + 5. Let p(d) = -10*d**3 - 4*d**2 - 4*d + 4. Let l(z) = 5*m(z) - 6*p(z). Determine l(g). 4 Let m(q) = -q**3 - 4*q**2 - q + 4. Suppose 0 = 4*v + 4*a + 7 + 1, -3*v + 4*a - 13 = 0. What is m(v)? -2 Let j(g) = 3*g**3 - 5*g**2 + 4*g - 1. Let w(i) = i**3 - i. Let a(l) = -j(l) + 4*w(l). What is a(-6)? 13 Let u(d) = d**3 + 7*d**2 + 7*d - 2. Suppose 14 = -5*l - 16. Give u(l). -8 Let u(s) = -s**2 - 8*s - 4. Let n be u(-7). Let o(j) be the third derivative of -j**6/120 + j**5/20 - j**4/24 + j**3/3 + 13*j**2. Calculate o(n). -1 Let u(d) = d + 4. Let s(i) = -i**3 + i**2 - 2*i - 1. Let n be s(2). Give u(n). -5 Let r(h) = -h + 5. Let o(i) = -i + 4. Let s(t) = -t**2 - 5*t - 5. Let g be s(-5). Let p(d) = g*o(d) + 4*r(d). Give p(6). 6 Suppose 0 = -2*g - g + 12. Suppose 0 = -0*v + g*v. Let o(r) = v*r**2 + 8*r - 2*r + 3 - 2 - r**2. Determine o(5). 6 Let h be 65/10 - 1/(-2). Let w(d) = -d**2 + 7*d - 8. Give w(h). -8 Suppose b + 3 = -5*d, -4*b + 8 = -d + 20. Let k(s) = -s**3 + s**2 + 1. Calculate k(d). 1 Let t(l) = l**3 - 2*l**2 - 7*l + 5. Let h be ((-4)/(-5))/((-16)/(-80)). Suppose -z - 12 = -2*i - 2*i, -2*z - h = -3*i. Determine t(i). 9 Let j(v) = v - 11. Let r be j(12). Let p(s) be the second derivative of -s**5/20 + s**4/12 - s**3/3 + s**2/2 - s. Give p(r). -1 Let k(s) = -5 + 3*s + 6*s**2 - s**3 - 3*s - 3*s. Let p be (24/(-18))/(2/(-3)). Let g be 5/10 - (-9)/p. Give k(g). 5 Let w(d) = -2*d + d + 9*d**2 + d + 2 - d. Let s(o) = -2*o - 4*o**2 + 13*o**2 + 10*o**2 + 5. Let n(u) = 3*s(u) - 7*w(u). Calculate n(-1). -6 Let t(l) = -l - 2 + 2 + 0. Let x(o) = 6*o - 8. Let m(w) = -5*t(w) - x(w). Calculate m(5). 3 Let s(n) = -n**3 - 8*n**2 - 7*n + 5. Suppose 2*t = -2*d + 4*d + 12, 0 = 2*d + 2*t + 16. Give s(d). 5 Let b(l) be the second derivative of -3/2*l**2 + 1/20*l**5 + l + 1/6*l**3 + 0 + 5/12*l**4. What is b(-5)? -8 Let j(o) be the third derivative of 0 - 1/120*o**5 - 7/24*o**4 + 1/6*o**3 - o**2 + 0*o. Let h(v) be the first derivative of j(v). What is h(-5)? -2 Let a(o) = o - 1. Suppose -x - 3 = 2*x. Let p = 0 - x. What is a(p)? 0 Let n(a) = a**2 - 2*a. Let b = 6 + -2. Suppose 0 = 2*v - 2*l - 14, b*l + l + 26 = 2*v. Give n(v). 3 Let j(c) = -c + 1. Let w be (-2)/(-8) + (-9)/(-12). Let s(k) = -6*k - 1. Let v(a) = w*s(a) - 5*j(a). Let n(i) = i**2 - 2*i + 2. Let b be n(3). What is v(b)? -11 Let v(h) = 3*h - 5 - 7*h**2 + 3*h + 8*h**2. What is v(-6)? -5 Let p(c) = c**3 - 4*c**2 - c. Let d(b) = b**2 + 16*b + 52. Let i be d(-12). Calculate p(i). -4 Let x(j) = 30*j + 21. Let w(c) = -3*c - 2. Let k(p) = 21*w(p) + 2*x(p). What is k(-2)? 6 Let t(g) be the first derivative of -g**4/4 - 7*g**3/3 - 3*g**2 - 6*g + 7. Determine t(-6). -6 Let s = 263 - 268. Suppose 3*o = -m, 4*o = -3*m - o + 4. Let a(k) = -4*k + m*k + 0*k. What is a(s)? 5 Let d(o) be the first derivative of o**2 - 4*o + 4. Let p(z) = z**2 + z - 1. Let h be p(-3). Give d(h). 6 Suppose -3*y + 0*y = -6. Suppose -5*d + 9 = -y*d. Let c(a) = 0*a**d - 3*a**2 + 4*a - a**3 - 3 + 1. Give c(-4). -2 Let f(l) = -l**2 - 11*l - 15. Let q be f(-10). Let h(i) = 2*i + 2. Let d(m) = 4*m + 3. Let s(w) = q*h(w) + 3*d(w). Determine s(4). 7 Let t(b) = -b**2 + 10*b + 11. Let h be t(11). Suppose 4*d = -l + 5, 0 = -5*d - 2*l - h*l + 4. Let w(v) = 1 + v + 0 - 2. What is w(d)? 1 Let q(x) = x**3 - x**2 - x - 1. Let i(h) = -12*h**3 + 16*h**2 + 16*h + 16. Let c(b) = i(b) + 16*q(b). Determine c(1). 4 Let v(b) = -5*b**3 + 9*b**2 - 2*b - 17. Let u = 8 + -1. Let h(s) = 3*s**3 - 5*s**2 + s + 9. Let c(n) = u*h(n) + 4*v(n). Give c(0). -5 Let i(x) be the third derivative of -x**6/120 - x**5/60 + x**4/24 - 7*x**2. Give i(1). -1 Let i(m) be the second derivative of -m**3/6 - 3*m. Calculate i(5). -5 Let x = 4 - 1. Let o(g) = 2 - 3 + 2. Let k(u) = -4*u - 2. Let z(i) = k(i) + 5*o(i). What is z(x)? -9 Let z(k) = -5*k - 6*k + 10*k + 4*k**2. Calculate z(-1). 5 Let q(y) = y - 1. Let i(t) = 5*t**3 + t**2 + t - 1. Let c be i(1). Let k(l) = -l + 8. Let u be k(c). Give q(u). 1 Let l(n) = -n**3 - 5*n**2 - 4*n + 1. Let t be l(-4). Let u be (t + 2)/1 + 2. Suppose u = -k + 1. Let b(o) = o - 2. Calculate b(k). -6 Let r(c) = -6*c + 2*c - 2*c. Let d(h) = -11*h. Suppose -8*a + 16 = -4*a. Let b(t) = a*d(t) - 9*r(t). What is b(-1)? -10 Suppose 2*x - 5 = 1. Let k(i) = 4*i**2 - 3*i + 1. Let g(y) = 2. Let p(s) = s**2 - s + 1. Let n(o) = -g(o) + 3*p(o). Let f(r) = x*n(r) - 2*k(r). What is f(3)? 1 Suppose -a = -2*p - 2, -p = -3*a + 9 + 2. Let d(g) = -3*g**2 + 4*g - 8. Let j(o) = 16*o**2 - 19*o + 41. Let l(b) = 11*d(b) + 2*j(b). Calculate l(a). 2 Let a(z) = z**2 - 13*z + 11. Suppose 104 - 8 = 8*f. Calculate a(f). -1 Let u(a) = -4*a**2 + a + 1. Let s(l) = -l - 3 + 8*l**2 + 0 - 5 + l**3 - 1. Let w be s(-8). Let r be u(w). Let x(b) = b**3 + 5*b**2 + 4*b - 3. Give x(r). -3 Let m = -39 + 33. Let a(q) = -q**2 - 5*q + 8. Calculate a(m). 2 Suppose 4*h - 3*d = -8, -4*h - 10 = 2*d - 22. Let z be (h + 0 - 2) + -4. Let r(v) = -v**2 - 4*v + 1. Let y be r(z). Let s(k) = k + 3. Determine s(y). -1 Let d(l) be the second derivative of l**4/12 - l**3/3 - 2*l**2 + 22*l. Give d(5). 11 Suppose -m - 2*j + 4 = -6, 3*m = j + 16. Suppose -m*c = -2*c - 4. Let a(z) = z - 2*z - c + 3*z. Give a(4). 7 Let x(k) be the first derivative of -2*k**3/3 - k - 8. Let u be 0/1 + -1 - -2. What is x(u)? -3 Let g(d) = d. Let k(i) = i + 1. Let q(n) = -3*g(n) + k(n). Let s = 13 + -10. Determine q(s). -5 Let o = 74 - 68. Suppose 4*m = -0*m + 20. Let p(a) = -m*a - 6 + a**2 + 2 - a. Calculate p(o). -4 Let a(r) be the second derivative of r**2 + 4*r + 0 - 1/6*r**3. What is a(-5)? 7 Suppose -56 = -2*t - 60. Let i(o) = -2*o**2 + 3*o + 3. Give i(t). -11 Suppose -4 = -5*z + z. Suppose p + z = 3. Let r(v) = -4*v - 4 + 0 + 7. Determine r(p). -5 Let y(h) = -2*h**2 - 2*h + 1. Suppose 2 = -2*l + 4*q, 5*q = 3*l - 2*l + 13. Suppose -3*u = m - l, -m - 22 = 4*m - 4*u. Let o = -4 - m. Determine y(o). -3 Let q(j) be the third derivative of j**4/24 + j**3/6 - 5*j**2. Calculate q(5). 6 Let b be ((-2)/(-2))/((-3)/(-12)). Let q = -1 + b. Let l = q - 0. Let g(h) = -h - 2. Calculate g(l). -5 Let t(a) = -a - 3. Let r be 1/2 - (-49)/14. Suppose r = 4*m + 20. Determine t(m). 1 Let d(n) = 2*n**2 - 16*n + 9. Let h be d(7). Let r(c) = -c**3 - 6*c**2 - 5*c. Give r(h). 0 Let h(f) = -f**3 - 7*f**2 + 7*f - 10. Suppose -22 = -2*w + 8. Let z be ((-8)/(-3))/((-5)/w). Determine h(z). -2 Let g(r) = r**2 - 3*r + 4. Suppose 3*w - 25 = -16. Calculate g(w). 4 Let z(s) = s**2 - 1188*s + 1190*s + 0*s**2 - 7. Suppose -2*r = -5*n - 14 - 17, -r - 7 = 2*n. What is z(n)? 8 Let g(t) = t**2 - 6*t - 8. Let x be 3 + (-51)/3 - -2. Let b be (x + 0)*(-9)/18. Determine g(b). -8 Let d(q) = 2*q - q**2 - 2 + q + 0*q. Let w be 1/1 + (-2 - -4) + 2. Determine d(w). -12 Suppose v - 5 - 2 = 3*y, 5*y - 4*v = -21. Let r(w) = -w**2 + w + 1. Let b(t) = -4*t**2 + 9*t + 8. Let f(o) = y*b(o) + 5*r(o). Give f(-4). -3 Let j(m) be the first derivative of m**6/360 - m**5/40 +
{ "pile_set_name": "DM Mathematics" }
*s = d*s + 8. Suppose -4*i + 5*i = 1. Put i, -4, s in increasing order. -4, i, s Let l(m) = m**3 - 15*m**2 + 3*m - 42. Let p be l(15). Put -3, p, 5, -6 in decreasing order. 5, p, -3, -6 Let q be (-12)/(-45)*(-7)/((-2926)/33). Sort -3/7, -3/5, q, 0.4 in decreasing order. 0.4, q, -3/7, -3/5 Let y be 3 + 102/99*-3. Put y, -16, 0 in descending order. 0, y, -16 Let a be (-8)/(-72) - (78/(-270) + 1). Put -15/11, -1/4, 1, a in descending order. 1, -1/4, a, -15/11 Suppose 4*x + x = -4*w + 60, -3*w + 46 = 4*x. Suppose w = -4*i - 2. Let t = -167 + 168. Put t, 13, i in descending order. 13, t, i Let x = 3/6929 - 27737/48503. Let j = 0.05 - 3.05. Sort x, 2/5, j in ascending order. j, x, 2/5 Let q(i) = i**3 - i**2. Suppose c - 3 = -1, u - c = -2. Let v be q(u). Let t be (20/16 + v)*4. Sort t, -3, 0 in descending order. t, 0, -3 Let p = 237.96 - 238. Sort 0.1, -2/5, -5, p in ascending order. -5, -2/5, p, 0.1 Suppose -5*z - 30*z = -8*z. Put z, -4, -2 in descending order. z, -2, -4 Suppose 3*y + 7 = -v, -y + 2*y - v = -5. Let i be 4/1 - 20/(-15)*y. Sort 2, -2, i, 0.5 in descending order. 2, 0.5, i, -2 Let f be 6/(1 - (0 + -1)) - 0. Let m be (-4)/16*-2*0. Suppose -l + m = 6. Put l, 4, f in descending order. 4, f, l Let h = 136.6 + -153. Let b = -16 - h. Let j = -9 - -9.5. Sort j, 1, b in descending order. 1, j, b Let g = 1828.83 - 1837. Let c = 0.17 + g. Let l = -158 + 1110/7. Sort l, -2/13, c. c, -2/13, l Let o = 0.235 + -118.735. Let p = o - -118. Sort -5/3, p, -3 in decreasing order. p, -5/3, -3 Let s(t) = t**3 - 28*t**2 - 338*t + 189. Let w be s(37). Let u be 3/5 - (-4)/10. Sort u, 2, w, -1. -1, u, 2, w Let v be (-1)/8*-12 + 58/(-36). Sort -2/5, -2/67, 3, v in descending order. 3, -2/67, v, -2/5 Suppose -4*x = -3*h + 23, -4*x - 28 + 12 = 4*h. Sort 11, -2, h. -2, h, 11 Suppose 5*g = -k + 9, 8 = -2*g - 2*g + 3*k. Sort g, 5, 26 in increasing order. g, 5, 26 Let o = -189346 - -109063223/576. Let j = 1/64 + o. Let m be (6/27)/(4/6). Sort m, j, 1 in ascending order. j, m, 1 Let s = 7 + -11. Let g = -644 + 642. Put 1, g, -0.2, s in decreasing order. 1, -0.2, g, s Let j be -1*(-5 + -28)/3. Suppose 4*s + j = -5*k, 0 = 2*k - 6*k + s + 8. Put -3, k, -2, 4 in decreasing order. 4, k, -2, -3 Let o be (-3)/5 + (-2)/5. Suppose 5*p = 6*n - 2*n - 41, -n = -3*p - 19. Let l be 3/9*p*3. Sort o, l, -2 in ascending order. l, -2, o Let p = 1942 - 1941. Put p, -113, -1 in descending order. p, -1, -113 Let a = -36 + 55. Suppose -21*g = -a*g + 8. Let m = -2 + g. Put 1, 3, m in descending order. 3, 1, m Let d = 65/291 + -1/873. Sort d, 135, -0.1 in descending order. 135, d, -0.1 Let p be 2/5 - 36/(-10). Let j = -9 + p. Let i be 0*((-33)/9 + 4). Sort -6, i, j. -6, j, i Let u(p) be the third derivative of -p**5/60 + 7*p**4/24 + 5*p**3/3 + 3*p**2 + 12*p. Let h be u(8). Sort h, -2, -8 in decreasing order. h, -2, -8 Let u be 8/3*(-9)/(-6). Suppose 2*i = -5*s - 22, 5 = 2*s - u*s + 3*i. Put -5, s, 1, -7 in decreasing order. 1, s, -5, -7 Let p = -41 + 44. Suppose -7*a + 5*a + 62 = -p*d, -4*a = -4*d - 128. Put a, -2, -1 in increasing order. -2, -1, a Let n = -8/11 - -27/22. Let c = 1.39 - 3.39. Put c, -3, n in decreasing order. n, c, -3 Let h = 183 - 183. Suppose -l + 0 = 4. Let r be l - 9/(-3 - h). Put -3, r, 2 in decreasing order. 2, r, -3 Suppose b + 2 = -1, 0 = 4*r - 2*b + 178. Let j be (-6)/(-33) + r/11. Put 5, j, 2 in descending order. 5, 2, j Let i = 10 - 11. Let k be i/(-5) + 32/(-10). Suppose 5*v + 13 = 8. Sort -4, v, k in increasing order. -4, k, v Let c = 41.4 - 47.4. Sort 0.4, -0.3, c in decreasing order. 0.4, -0.3, c Suppose -44 = -19*g - 6. Suppose -4*p = -2*p - 2. Sort 4, p, -4, g in decreasing order. 4, g, p, -4 Suppose 5 = -89*q + 90*q. Suppose -21*h + 10*h = -154. Sort q, -5, h, 1 in descending order. h, q, 1, -5 Let n(s) = -s**3 + s**2 - s + 4. Let b be n(0). Suppose 9*x + b = 10*x. Suppose -3*q = -5*w - 16, -3*q - 4*w = w + x. Put -4, q, 0.2 in decreasing order. q, 0.2, -4 Let g be -2*(1 + -12 + 7). Put 2, -1, g in descending order. g, 2, -1 Let a(y) = 2*y - 2. Let l be a(5). Suppose l*o = 2*o + 24. Put -4, -2, o in descending order. o, -2, -4 Let t(i) = -9*i - 18. Let j be t(-7). Suppose 2*d = -2*a + 26, 0 = 2*d + 4*a - j + 15. Suppose k + d = 15. Put -1/8, 5, k in ascending order. -1/8, k, 5 Suppose 0 = 2*z + 3 + 7. Let v = 38 - 31. Sort -4, v, z in descending order. v, -4, z Let n be (-4)/42 + 17446/43680. Let r = -5/48 + n. Sort r, 2, -1/5 in decreasing order. 2, r, -1/5 Let m = 6544.4 + -6544. Suppose -20 = -5*u, -j - 32 = 2*j - 5*u. Put 2, m, j in ascending order. j, m, 2 Let x = 0.0812 + -0.0812. Sort -0.4, x, 4, -58/7 in descending order. 4, x, -0.4, -58/7 Let q be (-1417)/(-2145) - (-1)/15. Sort -1, 5, q in increasing order. -1, q, 5 Let j(n) = -n**3 + 3*n**2 - 5*n + 17. Let i be j(3). Sort i, -93, -5/4 in decreasing order. i, -5/4, -93 Let l = -22 + 8. Let v(h) = h**2 - 8*h - 3. Let m be v(8). Sort m, 4, l, 2/3 in increasing order. l, m, 2/3, 4 Let y = -37 - -75/2. Sort -0.5, 4, y, -0.1 in increasing order. -0.5, -0.1, y, 4 Let l = -3 - -2. Suppose 31*w = 36*w + 15. Sort w, -4, l, -5 in decreasing order. l, w, -4, -5 Suppose -4*y + 4*q + 2 - 10 = 0, 3*q = 5*y. Suppose -2*k + 8 = -3*a, 5*k = y*a - 0*a + 2. Put -2, 0, -3, a in increasing order. a, -3, -2, 0 Let y(i) be the first derivative of -2*i**2 - 31*i - 46. Let b be y(-9). Sort b, -4, 1, -1 in descending order. b, 1, -1, -4 Let r = 0.21 + -0.41. Let s = 0.3 + r. Put s, -2, -4 in decreasing order. s, -2, -4 Let m be (-4)/(-18) - 87/27. Suppose 0 = -3*z + 2*z. Suppose -3*g - 3*o + 12 = z, -2*g + 2*o + 7 = -9. Sort g, 2, m in decreasing order. g, 2, m Let p = 1.165 + -0.165. Sort 3, -13, p in decreasing order. 3, p, -13 Let m be 3 - 5 - (2 - -2). Sort 5, -2, -3, m in decreasing order. 5, -2, -3, m Suppose 0 = 3*w - 4*h - 4, -3*w + 2*h + 12 = 4. Suppose -3*s + 7*s - w = 0. Let u be s + -1 - (4 + 1). Sort u, 3, 1 in descending order. 3, 1, u Let j be (5/(-10))/(-4 - 82/(-20)). Let f be 15/(-27) - j/90*4. Put f, 11, 3 in decreasing order. 11, 3, f Suppose 3 = n + 2*d, 8*d - 21 = 2*n + 3*d. Suppose 0 = -3*j - 4*m - 45, -2*j + 6*m = 2*m + 10. Sort j, n, 5, -2 in increasing order. j, n, -2, 5 Suppose 0 = 4*n + 4*z - 24, n + 2*z = 3 + 5. Suppose 0 = 2*p + 8 + n. Let g be (27/12)/(p/(-16)). Put 3, 1, g in increasing order. 1, 3, g Let x be (-6)/4*(-264)/198. Sort -7, x, -5, -6 in ascending order. -7, -6, -5, x Let k = 12.89 + 6.11. Sort 4/11, -0.2, k in ascending order. -0.2, 4/11, k Let f = 3 + 7. Let j = f - 9.5. Let n(p) = p**2 - 6*p - 2. Let a be n(6). Sort j, a, 0 in ascending order. a, 0, j Let p = 520 + -522. Sort -5, -4, -35, p in decreasing order. p, -4, -5, -35 Suppose 14 + 10 = 4*y. Suppose 0*x - 12 = y*x. Sort -4, 1, 3, x in ascending order. -4, x, 1, 3 Let u = -32/3 + 9. Sort u, -1/15, -0.11 in decreasing order. -1/15, -0.11, u Let h = -24.6 - -24.2. Sort h, 0.4, 137 in descending order. 137, 0.4, h Let k = -848/9 - -94. Suppose -35 - 45 = -20*c. Suppose 0 = -3*o - 4*z + 3, -2*z = -6*z - 12. Sort o, k, c in increasing order. k, c, o Let j be 9*2/45*-5. Put -4, 4, -5, j in increasing order. -5, -4, j, 4 Let i be 2 - 20/6 - 30/(-9). Let q(x) = x**3 + 4*x**2 - 5*x + 5. Let m be q(-5). Sort m, i, -1, 0. -1, 0, i, m Let d be 2/(-6 + 3 + 5 - 1). Put -5, 1, -11, d in ascending order. -11, -5, 1, d Suppose 3*v - 3 = -0. Suppose 2035 - 233 = -17*k. Let u = -110 - k. Sort -5, u, v in decreasing order. v, u, -5 Let v be 2/10 - (-236)/20. Let y = v - 11. Suppose 3*t + 0 = r + 20, -10 = -3*t - r. Sort y, t, -3 in ascending order. -3, y, t Let d be (9/54)/((-6)/(-36)). Sort -25, d, -3, 2 in descending order. 2, d, -3, -25 Let p be (-2 - 2/(-3))*-3. Suppose -p*d - 7 = -f + 6*f, 0 = f + 2*d + 5. Sort 0.07, f, -3 in decreasing order. f, 0.07, -3 Suppose -6*l + 0*l = -30. Sort -9/5, l, 3 in decreasing order. l, 3, -9/5 Suppose -c - 5 = h - 0*h, h = -5*c - 5. Suppose 4*b - b - 15 = c. Let p(q) = q**2 + 5*q - 4. Let n be p(1). Put b, n, 3 in decreasing order. b, 3, n Let v = 3922/6839 - 2/977. Put -0.06, v, -0.3, -4 in descending order. v, -0.06, -0.3, -4 Suppose 3*m - 16 = -5*f, -2 = 5*f - 3*m - 6. Suppose f = 4*c - 2*c. Let a = 4313.7 + -4314. Put a, c, -1 in decreasing order. c, a, -1 Let n(z) = z - 1. Let w(g) = -g**2
{ "pile_set_name": "DM Mathematics" }
23768? 261063 What is next in 268583, 537173, 805765, 1074359? 1342955 What comes next: 352, 496, 868, 1582, 2752, 4492? 6916 What comes next: -67194, -134394, -201594? -268794 What comes next: -2636, -2669, -2702, -2735, -2768? -2801 What comes next: 2723, 2623, 2463, 2249, 1987, 1683, 1343? 973 What is the next term in -1055, -1124, -1193, -1262, -1331, -1400? -1469 What is next in -3887, -3889, -3879, -3851, -3799, -3717, -3599? -3439 What comes next: -1132, -2290, -3450, -4612, -5776? -6942 What is next in -4173, -4714, -5255? -5796 What comes next: 3050385, 3050376, 3050353, 3050310, 3050241, 3050140? 3050001 What is the next term in -4989, -4987, -4985, -4983, -4981, -4979? -4977 What is next in -66620, -133241, -199862? -266483 What is next in 6958, 6817, 6660, 6481, 6274, 6033, 5752, 5425? 5046 What comes next: 4837, 4831, 4825, 4819, 4813? 4807 What comes next: -6517, -6510, -6499, -6484? -6465 What is next in -2674, -5043, -7412, -9781? -12150 What is the next term in -6867, -13745, -20625, -27507, -34391? -41277 What is the next term in -77815, -311265, -700351, -1245073? -1945431 What is next in -21246, -21297, -21348, -21399, -21450? -21501 What is next in 877, 3486, 7835, 13924, 21753, 31322? 42631 What is next in -32315, -32359, -32445, -32579, -32767? -33015 What is next in -24627, -24605, -24575, -24537, -24491? -24437 What is the next term in 395, 3155, 10631, 25181, 49163? 84935 What comes next: -124924, -249800, -374678, -499558, -624440, -749324? -874210 What comes next: -964, -997, -1030, -1057, -1072, -1069, -1042, -985? -892 What is next in -20, -29, -68, -143, -260, -425, -644? -923 What is next in -7845, -7832, -7815, -7794, -7769, -7740, -7707? -7670 What comes next: 234, 360, 710, 1398, 2538, 4244? 6630 What is next in 58783, 58775, 58767? 58759 What comes next: 98522, 197041, 295560, 394079? 492598 What is the next term in 25822, 25823, 25824? 25825 What is next in 7678, 15242, 22808, 30376, 37946? 45518 What comes next: 142, 190, 238, 286, 334, 382? 430 What is the next term in 68140, 68144, 68148? 68152 What is the next term in -64, 206, 670, 1340, 2228, 3346? 4706 What comes next: 433, 805, 1177, 1549? 1921 What is the next term in 18819, 75256, 169313, 300990, 470287, 677204? 921741 What is the next term in -775, -521, -127, 383, 985, 1655? 2369 What comes next: -7693, -15380, -23063, -30742, -38417? -46088 What is the next term in -10954, -10961, -10980, -11017, -11078, -11169, -11296? -11465 What comes next: 23302, 23312, 23326, 23344, 23366, 23392? 23422 What comes next: 67, 134, 303, 622, 1139, 1902, 2959? 4358 What is the next term in 463, 867, 1271? 1675 What comes next: 20, -147, -626, -1573, -3144? -5495 What is next in -4283, -8680, -13077, -17474, -21871? -26268 What comes next: -6484, -6679, -6876, -7075, -7276? -7479 What comes next: -35431, -35452, -35483, -35524, -35575, -35636, -35707? -35788 What comes next: -543, -651, -803, -999, -1239? -1523 What is next in 6404, 12805, 19204, 25601, 31996? 38389 What is next in -40682, -162735, -366134, -650861, -1016898, -1464227? -1992830 What is next in 12, -24, -108, -246, -444, -708, -1044? -1458 What comes next: -2607, -2653, -2699, -2745, -2791? -2837 What is next in 2343, 2365, 2401, 2451, 2515, 2593, 2685? 2791 What is next in -68666, -137334, -206002, -274670, -343338, -412006? -480674 What is the next term in 33099, 33107, 33115, 33123, 33131, 33139? 33147 What comes next: 62, 57, 52, 47, 42, 37? 32 What comes next: 419, 813, 1185, 1529, 1839, 2109, 2333? 2505 What is next in -153, -622, -1407, -2508, -3925, -5658? -7707 What is the next term in 676296, 676294, 676292, 676290, 676288? 676286 What comes next: 255, 568, 867, 1146, 1399, 1620, 1803, 1942? 2031 What is next in -1977, -1777, -1577, -1377, -1177? -977 What is the next term in -90, -195, -334, -525, -786, -1135, -1590, -2169? -2890 What comes next: -4390, -8778, -13166, -17554, -21942? -26330 What is next in 180, 453, 726, 999, 1272, 1545? 1818 What comes next: -3593, -3615, -3651, -3701, -3765, -3843? -3935 What is next in 3246, 3303, 3360, 3417? 3474 What is next in -59549, -119100, -178651, -238202, -297753? -357304 What is the next term in -585, -4288, -14341, -33918, -66193? -114340 What is next in 782498, 782495, 782492, 782489? 782486 What is the next term in 84, 103, 166, 297, 520, 859? 1338 What comes next: 49, 96, 225, 478, 897? 1524 What is next in 2019, 4047, 6079, 8115? 10155 What comes next: 145193, 145192, 145191, 145190? 145189 What is next in 433189, 866380, 1299571? 1732762 What comes next: -428181, -428180, -428179? -428178 What is the next term in 97, 301, 629, 1081, 1657, 2357, 3181? 4129 What is the next term in -776, -1554, -2338, -3128, -3924, -4726, -5534? -6348 What is the next term in -516, -1954, -4342, -7668, -11920, -17086, -23154, -30112? -37948 What is next in 3659, 3935, 4221, 4523, 4847, 5199, 5585, 6011? 6483 What comes next: -112, -163, -236, -343, -496, -707, -988, -1351? -1808 What is the next term in 76658, 76635, 76596, 76541, 76470, 76383, 76280? 76161 What is the next term in 390, 780, 1174, 1572, 1974, 2380, 2790? 3204 What is next in 160293, 320585, 480877? 641169 What comes next: -73, -80, -59, -10, 67? 172 What is next in 503, 2011, 4525, 8045, 12571, 18103, 24641? 32185 What is the next term in -11482, -22970, -34458, -45946? -57434 What is the next term in 2408, 2440, 2524, 2684, 2944, 3328, 3860, 4564? 5464 What comes next: 64, 83, 56, -11, -112? -241 What is the next term in 8326, 16648, 24970, 33292? 41614 What is the next term in 422, 1823, 4158, 7427, 11630, 16767? 22838 What is the next term in 603, 5005, 17007, 40413, 79027, 136653, 217095, 324157? 461643 What is next in 127367, 254726, 382085? 509444 What is next in -2749, -10988, -24725, -43966, -68717, -98984, -134773? -176090 What is the next term in -113327, -226716, -340103, -453488? -566871 What is the next term in -12340, -24638, -36936? -49234 What is next in -2256, -2265, -2288, -2331, -2400, -2501, -2640? -2823 What is the next term in -100, -212, -324, -436? -548 What is the next term in 4187, 16849, 37953, 67499, 105487, 151917? 206789 What comes next: 10089, 10076, 10053, 10014, 9953, 9864, 9741? 9578 What is the next term in 53, 115, 205, 329, 493, 703, 965? 1285 What comes next: 8882, 9144, 9406, 9668, 9930? 10192 What is next in -498, -496, -490, -480? -466 What is next in -4488273, -4488276, -4488279? -4488282 What is next in -183, 64, 311, 558, 805? 1052 What is the next term in -630, -736, -842, -948, -1054, -1160? -1266 What comes next: -228, -906, -2030, -3600, -5616, -8078? -10986 What comes next: -199, -721, -1591, -2809, -4375? -6289 What is next in 22632, 22634, 22636? 22638 What comes next: -2317, -3826, -6339, -9856, -14377, -19902, -26431? -33964 What is the next term in -395094, -395093, -395092, -395091, -395090, -395089? -395088 What is next in 16374, 16373, 16374, 16377, 16382? 16389 What is next in -347, -448, -549, -650? -751 What comes next: 1887, 2484, 3095, 3726, 4383, 5072, 5799, 6570? 7391 What is next in 28, 116, 330, 730, 1376, 2328, 3646? 5390 What comes next: 1755, 1759, 1763, 1767, 1771, 1775? 1779 What comes next: 1182, 2404, 3628, 4854, 6082, 7312? 8544 What is the next term in -1221, -2428, -3635? -4842 What is the next term in 1092, 2114, 3146, 4188? 5240 What comes next: -12633, -12647, -12661, -12675, -12689? -12703 What is the next term in 142, 309, 488, 691, 930, 1217? 1564 What comes next: -1507, -1449, -1345, -1189, -975, -697, -349? 75 What is next in -622, -636, -660, -694, -738? -792 What is next in -2407, -2458, -2509, -2560? -2611 What is the next term in 246, 1109, 2598, 4755, 7622, 11241? 15654 What is next in 5423, 5401, 5367, 5315, 5239, 5133? 4991 What is the next term in 1123, 4473, 10055, 17869, 27915, 40193, 54703? 71445 What comes next: -19056, -76275, -171656, -305205, -476928, -686831, -934920, -1221201? -1545680 What comes next: -194509, -389003, -583495, -777985, -972473, -1166959, -1361443? -1555925 What is next in 530, 4262, 10486, 19208, 30434, 44170, 60422, 79196? 100498 What is the next term in 38287, 38285, 38283, 38281, 38279, 38277? 38275 What comes next: 1758, 7023, 15798, 28083, 43878? 63183 What
{ "pile_set_name": "DM Mathematics" }
nd 799? 17 Calculate the highest common factor of 126 and 14. 14 Calculate the greatest common factor of 596 and 745. 149 Calculate the greatest common factor of 4 and 1868. 4 What is the highest common factor of 165 and 363? 33 What is the greatest common factor of 106 and 55597? 53 What is the highest common factor of 19 and 1539? 19 Calculate the highest common factor of 70 and 294. 14 What is the highest common divisor of 15 and 25? 5 Calculate the greatest common divisor of 338 and 52. 26 What is the highest common factor of 184 and 138? 46 What is the highest common factor of 184 and 72? 8 What is the greatest common factor of 156 and 744? 12 What is the highest common factor of 464 and 16? 16 Calculate the greatest common factor of 580 and 520. 20 Calculate the greatest common divisor of 37 and 2. 1 What is the highest common divisor of 192 and 78? 6 What is the greatest common factor of 70 and 30? 10 Calculate the greatest common divisor of 27 and 296. 1 Calculate the highest common factor of 22 and 506. 22 What is the highest common factor of 1524 and 12? 12 What is the highest common divisor of 56 and 140? 28 Calculate the highest common factor of 1805 and 19. 19 What is the highest common divisor of 22 and 748? 22 What is the highest common factor of 4 and 1676? 4 What is the greatest common divisor of 22 and 6226? 22 Calculate the greatest common factor of 50 and 940. 10 What is the highest common factor of 57392 and 136? 136 What is the greatest common divisor of 154 and 2068? 22 Calculate the greatest common factor of 4399 and 1328. 83 Calculate the highest common factor of 15710 and 10. 10 Calculate the greatest common factor of 426 and 1846. 142 What is the greatest common divisor of 3 and 4392? 3 Calculate the greatest common divisor of 273 and 1092. 273 Calculate the highest common divisor of 6 and 15654. 6 Calculate the greatest common divisor of 231 and 3619. 77 What is the greatest common divisor of 1435 and 560? 35 What is the greatest common divisor of 230 and 138? 46 What is the highest common divisor of 1200 and 144? 48 Calculate the greatest common divisor of 120 and 70. 10 Calculate the highest common factor of 284 and 8. 4 Calculate the greatest common divisor of 2916 and 48. 12 What is the highest common divisor of 12 and 15? 3 What is the highest common divisor of 19164 and 12? 12 What is the highest common divisor of 17 and 1003? 17 What is the greatest common divisor of 8 and 22? 2 What is the highest common factor of 1935 and 18? 9 What is the highest common divisor of 184 and 16? 8 What is the greatest common divisor of 343 and 7938? 49 What is the greatest common divisor of 47 and 611? 47 Calculate the greatest common divisor of 268 and 737. 67 Calculate the highest common factor of 320 and 1216. 64 Calculate the greatest common factor of 70 and 210. 70 Calculate the greatest common divisor of 32250 and 250. 250 What is the greatest common divisor of 92 and 1403? 23 Calculate the highest common factor of 23 and 161. 23 Calculate the greatest common factor of 25 and 3. 1 What is the highest common divisor of 29 and 1711? 29 What is the highest common factor of 225 and 36? 9 What is the highest common divisor of 1020 and 60? 60 Calculate the greatest common factor of 7 and 763. 7 What is the highest common factor of 5412 and 132? 132 What is the highest common divisor of 18 and 438? 6 Calculate the greatest common factor of 560 and 60. 20 What is the greatest common factor of 112 and 154? 14 What is the greatest common factor of 95 and 57? 19 Calculate the highest common factor of 75 and 200. 25 Calculate the greatest common divisor of 3883 and 22. 11 What is the greatest common factor of 222 and 6290? 74 Calculate the greatest common factor of 884 and 68. 68 What is the highest common factor of 95 and 19? 19 What is the greatest common divisor of 736 and 69? 23 What is the highest common divisor of 1666 and 272? 34 What is the greatest common divisor of 60 and 12? 12 Calculate the greatest common factor of 60 and 100. 20 Calculate the highest common divisor of 2401 and 98. 49 Calculate the highest common factor of 1650 and 725. 25 Calculate the greatest common factor of 12 and 21. 3 Calculate the highest common divisor of 416 and 5200. 208 Calculate the greatest common factor of 28 and 5264. 28 Calculate the greatest common divisor of 1368 and 8. 8 What is the greatest common factor of 369 and 4551? 123 What is the greatest common divisor of 907 and 2? 1 Calculate the highest common factor of 34 and 357. 17 What is the greatest common divisor of 12 and 20? 4 Calculate the highest common factor of 17 and 612. 17 What is the highest common divisor of 40 and 180? 20 Calculate the greatest common divisor of 80 and 32. 16 What is the highest common factor of 78 and 104? 26 Calculate the greatest common divisor of 704 and 656. 16 Calculate the highest common factor of 8 and 10408. 8 Calculate the highest common divisor of 14 and 140. 14 What is the greatest common factor of 224 and 7? 7 Calculate the highest common divisor of 28 and 1211. 7 What is the greatest common factor of 1349 and 437? 19 Calculate the highest common factor of 5712 and 252. 84 What is the greatest common divisor of 770 and 3190? 110 What is the greatest common factor of 96 and 6432? 96 Calculate the greatest common divisor of 1000 and 24. 8 What is the greatest common factor of 290 and 1624? 58 What is the greatest common factor of 48 and 4248? 24 What is the greatest common factor of 19 and 171? 19 Calculate the highest common factor of 1125 and 27. 9 What is the greatest common factor of 16346 and 88? 22 What is the greatest common divisor of 1250 and 30? 10 What is the highest common divisor of 90 and 18030? 30 What is the greatest common divisor of 4125 and 33? 33 What is the greatest common factor of 79 and 15563? 79 What is the highest common factor of 18 and 96? 6 What is the highest common divisor of 15 and 1410? 15 Calculate the highest common factor of 1358 and 112. 14 Calculate the greatest common factor of 28 and 252. 28 Calculate the greatest common divisor of 988 and 76. 76 What is the highest common factor of 3201 and 6693? 291 Calculate the highest common divisor of 1106 and 378. 14 Calculate the greatest common factor of 85 and 425. 85 What is the highest common divisor of 56 and 70? 14 What is the highest common factor of 243 and 36? 9 Calculate the greatest common factor of 121 and 44. 11 Calculate the highest common divisor of 1444 and 76. 76 Calculate the highest common divisor of 40 and 242. 2 What is the highest common divisor of 42 and 69? 3 Calculate the highest common factor of 299 and 69. 23 Calculate the highest common factor of 210 and 120. 30 What is the greatest common divisor of 2313 and 9? 9 What is the greatest common divisor of 3237 and 26? 13 Calculate the greatest common divisor of 6 and 339. 3 What is the greatest common divisor of 21 and 525? 21 Calculate the greatest common divisor of 78 and 11518. 26 What is the highest common factor of 364 and 416? 52 Calculate the greatest common divisor of 6 and 3804. 6 Calculate the highest common divisor of 3843 and 7. 7 Calculate the highest common factor of 18 and 36. 18 Calculate the greatest common factor of 55 and 36355. 55 What is the highest common factor of 8149 and 1967? 281 What is the greatest common divisor of 1353 and 1056? 33 Calculate the greatest common factor of 306 and 663. 51 Calculate the highest common divisor of 46 and 230. 46 What is the highest common divisor of 595 and 425? 85 Calculate the highest common divisor of 419 and 1. 1 Calculate the highest common divisor of 17 and 272. 17 Calculate the highest common divisor of 5 and 695. 5 What is the greatest common divisor of 22 and 737? 11 Calculate the greatest common factor of 8106 and 21. 21 What is the highest common factor of 7552 and 8? 8 Calculate the highest common factor of 395 and 90. 5 What is the greatest common divisor of 153 and 4029? 51 What is the greatest common factor of 168 and 189? 21 What is the greatest common factor of 7708 and 656? 164 Calculate the highest common factor of 51478 and 14. 14 What is the greatest common factor of 165 and 99? 33 What is the highest c
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from {n: 2, d: 3}. Give prob of picking 3 d and 1 n. 2/5 Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {k: 2, e: 2, t: 1, c: 5, o: 2, a: 2}. 4/91 Two letters picked without replacement from {u: 4}. What is prob of picking 2 u? 1 What is prob of picking 2 a and 1 e when three letters picked without replacement from csaeea? 1/10 Four letters picked without replacement from {u: 6, p: 8, c: 1, l: 3}. What is prob of picking 1 p, 1 u, 1 l, and 1 c? 4/85 Calculate prob of picking 1 w, 1 r, and 1 c when three letters picked without replacement from wrccw. 2/5 What is prob of picking 2 g and 1 u when three letters picked without replacement from {g: 6, h: 7, u: 5, d: 1}? 25/323 Four letters picked without replacement from zzmgzgzggzggg. What is prob of picking 2 g and 2 z? 42/143 Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {q: 4, b: 2}. 8/15 Two letters picked without replacement from rmt. What is prob of picking 1 m and 1 t? 1/3 Three letters picked without replacement from xvtee. What is prob of picking 1 x, 1 e, and 1 t? 1/5 Four letters picked without replacement from {d: 5, j: 5, c: 5, e: 1, g: 3}. What is prob of picking 2 j, 1 d, and 1 e? 25/1938 Calculate prob of picking 1 z, 1 b, and 1 e when three letters picked without replacement from bqqabezbeezzbaqq. 9/140 What is prob of picking 1 t and 2 j when three letters picked without replacement from tjjjjjjjjjjjjjj? 1/5 Three letters picked without replacement from {c: 2, r: 7, m: 1}. What is prob of picking 3 r? 7/24 Calculate prob of picking 2 s and 1 n when three letters picked without replacement from {r: 2, d: 1, s: 8, n: 2}. 28/143 What is prob of picking 1 p and 3 t when four letters picked without replacement from pttittittpitittttp? 11/68 Three letters picked without replacement from yyqllyyhyhhyhhoyhh. What is prob of picking 3 y? 35/816 What is prob of picking 1 o and 3 b when four letters picked without replacement from {b: 4, o: 15}? 5/323 Three letters picked without replacement from {e: 2, a: 3, p: 1, j: 12, z: 1}. What is prob of picking 1 z, 1 e, and 1 p? 2/969 Calculate prob of picking 2 y when two letters picked without replacement from {a: 1, y: 2, g: 1, l: 2, k: 1, p: 2}. 1/36 Two letters picked without replacement from {y: 1, o: 7}. Give prob of picking 1 o and 1 y. 1/4 What is prob of picking 3 z when three letters picked without replacement from zrrrrrzrrrrrrzrrrrrr? 1/1140 Three letters picked without replacement from vuccucuuvcucc. What is prob of picking 3 c? 10/143 Three letters picked without replacement from {z: 3, o: 9}. Give prob of picking 1 z and 2 o. 27/55 Three letters picked without replacement from {m: 7, r: 4}. What is prob of picking 3 r? 4/165 Calculate prob of picking 1 n and 1 t when two letters picked without replacement from nznnntnrn. 1/6 Three letters picked without replacement from fezvveffee. Give prob of picking 3 e. 1/30 What is prob of picking 1 v, 1 q, and 1 n when three letters picked without replacement from {n: 7, h: 4, v: 1, q: 1}? 7/286 Four letters picked without replacement from saaajqaja. Give prob of picking 1 s, 1 a, and 2 j. 5/126 What is prob of picking 1 k, 2 v, and 1 g when four letters picked without replacement from kivkgiikikvfkxivvffk? 12/1615 Three letters picked without replacement from wwawwwwwwwwwwawwwwww. What is prob of picking 3 w? 68/95 Two letters picked without replacement from {m: 2, f: 9, v: 3, o: 2, i: 1}. Give prob of picking 1 f and 1 i. 9/136 Two letters picked without replacement from rrhhr. What is prob of picking 2 h? 1/10 Calculate prob of picking 1 t and 1 u when two letters picked without replacement from tttkkkkktkkut. 5/78 Two letters picked without replacement from {l: 1, f: 1, w: 1, x: 1, d: 1, m: 2}. Give prob of picking 1 d and 1 f. 1/21 What is prob of picking 3 k and 1 n when four letters picked without replacement from nnnnkknnnkn? 4/165 Calculate prob of picking 4 j when four letters picked without replacement from jjjjjtjjjjtjtjj. 33/91 Calculate prob of picking 1 q, 1 l, and 1 c when three letters picked without replacement from {l: 1, c: 4, q: 2, y: 1}. 1/7 Two letters picked without replacement from qqqball. What is prob of picking 1 q and 1 l? 2/7 What is prob of picking 4 a when four letters picked without replacement from {a: 6}? 1 What is prob of picking 1 i and 2 o when three letters picked without replacement from {o: 2, p: 2, i: 1}? 1/10 Three letters picked without replacement from {d: 1, k: 12}. What is prob of picking 2 k and 1 d? 3/13 Two letters picked without replacement from tut. Give prob of picking 1 u and 1 t. 2/3 Two letters picked without replacement from {e: 3, g: 8}. Give prob of picking 2 g. 28/55 What is prob of picking 2 a when two letters picked without replacement from akaka? 3/10 Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {u: 4, y: 5, d: 2, b: 3, v: 5}. 8/171 Three letters picked without replacement from yblrlrywlr. What is prob of picking 1 r, 1 l, and 1 b? 3/40 Two letters picked without replacement from {o: 7}. What is prob of picking 2 o? 1 What is prob of picking 2 o when two letters picked without replacement from oomoomoooommmmoomoo? 22/57 What is prob of picking 1 b and 1 c when two letters picked without replacement from {b: 9, s: 5, c: 1, u: 1, h: 2}? 1/17 Two letters picked without replacement from {x: 2, b: 3}. What is prob of picking 2 x? 1/10 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {y: 3, a: 3, c: 1, z: 1, p: 2, i: 1}. 2/55 Calculate prob of picking 2 y when two letters picked without replacement from {y: 9, w: 1, k: 4}. 36/91 What is prob of picking 2 v when two letters picked without replacement from {m: 2, v: 2, t: 1, e: 1}? 1/15 Calculate prob of picking 2 s when two letters picked without replacement from szzszzwzszczzszcz. 3/68 Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {n: 3, h: 4, o: 3, p: 3, z: 3, m: 4}. 9/190 Calculate prob of picking 3 v when three letters picked without replacement from {v: 11, r: 1}. 3/4 Three letters picked without replacement from nvmvnnnnnmnunnnvmunu. What is prob of picking 1 v, 1 u, and 1 n? 33/380 Two letters picked without replacement from bbbbbb. What is prob of picking 2 b? 1 What is prob of picking 1 v and 1 n when two letters picked without replacement from nsvnnsssrvfzrn? 8/91 Four letters picked without replacement from eeaeaamemaameoeemmma. What is prob of picking 4 m? 1/323 Four letters picked without replacement from {g: 5, v: 1, y: 7}. What is prob of picking 2 v and 2 y? 0 What is prob of picking 3 k and 1 u when four letters picked without replacement from {b: 7, k: 4, u: 6}? 6/595 Four letters picked without replacement from {y: 1, j: 4, n: 6, q: 4, e: 2}. Give prob of picking 2 q, 1 y, and 1 j. 6/595 What is prob of picking 2 v and 2 m when four letters picked without replacement from tdtvmmdvdvd? 1/110 Two letters picked without replacement from {x: 2, n: 3, l: 3, y: 3, d: 5}. What is prob of picking 1 n and 1 l? 3/40 Calculate prob of picking 2 q and 1 f when three letters picked without replacement from ffbqffqqesqq. 2/11 Two letters picked without replacement from aaamaaama. Give prob of picking 2 a. 7/12 Three letters picked without replacement from {v: 4, r: 2, y: 2, h: 8}. Give prob of picking 2 v and 1 y. 3/140 Four letters picked without replacement from {g: 1, n: 5, a: 7}. What is prob of picking 3 n and 1 a? 14/143 Two letters picked without replacement from {r: 2, j: 1, i: 4, h: 3}. Give prob of picking 2 h. 1/15 Four letters picked without replacement from {f: 2, l: 1, d: 1, a: 1}. Give prob of picking 1 f, 1 l, 1 a, and 1 d. 2/5 Two letters picked without replacement from fxxxfgggxggxxgxgxg. What is prob of picking 1 g and 1 f? 16/153 Four letters picked without replacement from {s: 1, o: 1, c: 5, w: 4, d: 1}. Give prob of picking 1 d, 2 w, and 1 c. 2/33 Four letters picked without replacement from {c: 1, i: 5, e: 1, b: 7}. What is prob of picking 1 b, 1 e, 1 c, and 1 i? 5/143 Four letters picked without replacement from {v: 4, s: 1,
{ "pile_set_name": "DM Mathematics" }
e (-1)/w + (-550)/264. Suppose 0 = -3*u - r - 9, -3*r - 3 = -u + 4. Are n and u unequal? True Suppose 4*k = d + 30, -3*d - 35*k - 60 = -32*k. Is d greater than -18? False Let k be -1 - (1 - 0 - 1). Suppose 3*d + d = 24. Let n be d/12 + 1/(-3). Is n smaller than k? False Let a be 11 - ((-344)/(-84) + (-10)/105). Let h = 10 - 1. Is h smaller than a? False Suppose 17*k = 25*k - 21*k. Which is smaller: k or 2/1657? k Suppose f + 3 + 13 = 0. Let z be 4 - (-4)/(f/20). Which is smaller: z or -3/11? z Suppose 2*k + 33 = -4*x + 5*k, 0 = -3*k - 3. Do x and 40 have the same value? False Let a be ((-17)/(510/36))/(-32). Is a at most as big as 0? False Let l(a) be the first derivative of -3*a**3 - 3*a**2/2 + 3*a + 24. Let s be l(2). Do -39 and s have different values? False Let g(m) = 15*m**2 + 14*m + 2. Let a be g(-2). Is -7 less than or equal to a? True Let n(x) = 3*x**2 - 8*x + 2. Let k(c) = c**2 - 4*c + 1. Let a(i) = 5*k(i) - 2*n(i). Let f be a(-6). Let t = 11 + f. Is 3 greater than or equal to t? True Suppose -4*x - 4*g - 120 = 276, -299 = 3*x + 4*g. Which is bigger: -94 or x? -94 Let r = 21677/1924 - 8/481. Which is bigger: 11 or r? r Let k = -0.0028 + -47.3972. Let j = k + 47. Which is bigger: -5 or j? j Suppose 4*j + o + 30 - 1 = 0, -j + o = 6. Is -96/13 less than j? True Let c = -536/5 - -1688/15. Suppose d + 25 = 6*d. Is d less than or equal to c? True Let i = 102 + -101. Do -121 and i have the same value? False Suppose -3*i = -2*q - 136, -4*q = -0*i + 2*i + 256. Let n be 1 - ((-60)/q - 0). Is 6 >= n? True Let d(x) be the first derivative of x**3/3 + 3*x**2/2 + 9. Let u be d(-4). Let p = 18 + -14. Is p > u? False Let i(r) = -r**3 - 11*r**2 - 23*r + 7. Let u be i(-8). Which is smaller: u or -6/89? u Let u = 224 - 153. Let i = 76 - u. Which is smaller: -2/7 or i? -2/7 Let b be 2/(-2)*69/1. Which is greater: b or -419/6? b Let b = 11/170 - 9/34. Let x = 1 + -2/3. Does b = x? False Let a = 1914 - 1953. Which is smaller: -1 or a? a Let a = -87 + 91. Suppose 5*q = -m - 10, -q + 2*m + 13 = a. Is q greater than or equal to 72? False Suppose 45 = -103*j + 106*j. Let d be (j/(-880))/(2/8). Which is smaller: d or 0? d Let l = -2.8 - -2.657. Let p = 0.243 + l. Let w = -6 + 11. Which is greater: w or p? w Let v = -0.2 + 0.3. Let p(j) = j**3 - 8*j**2 + 12*j + 2. Let s be p(6). Suppose -n = s*n - 18. Which is bigger: v or n? n Suppose 4*k + 0*c + 36 = 3*c, -4*k = 2*c + 56. Suppose 0 = 7*r + 56*r + 693. Which is smaller: r or k? k Suppose 0*l = -l. Suppose 0 = 4*q - 0 + 16. Let k be -4 + 80*q*3/(-216). Are l and k equal? False Let i = -0.3 + -0.2. Let y(o) = -o**2 - 182*o + 934. Let b be y(5). Which is bigger: b or i? i Let w be (-6)/(-2) - 1323/1372. Which is smaller: w or 3? w Suppose 5*x - 62*x + 19551 = 0. Which is greater: 341 or x? x Let o = 27 - 27. Suppose -2*p = -5*l + 22, -4*p - l = -o*p. Is p less than or equal to -2/65? True Suppose -2*c = 4*c - 282. Suppose -m = -s + 3*s + 58, -s - c = 5*m. Is s smaller than -26? True Suppose 595*x - 601*x = -192. Do 32 and x have different values? False Suppose -5 = -5*a - 0*a. Suppose 5*o + 48 = -4*v, 0 = v + 4*o + a. Is v at least -17? True Let w = 1002.1 - 1002. Is w at most -805? False Let n(h) = -23*h + 2. Let a be n(-1). Suppose c = 4*u - 79, 0 = u + 5*c - 3*c - 31. Suppose 40 = -u*k + a*k. Is 10 bigger than k? False Suppose 0 = -4*t + 14*t + 390. Do t and -1/3 have different values? True Let w = 270 + -273. Which is greater: 98 or w? 98 Let z be (0 - -2)*3367/74. Are z and 94 equal? False Let s(g) = 5*g**2 + 2*g - 4. Let p be s(0). Are p and -97 non-equal? True Let g = -0.43 - 29.47. Let w = 30 + g. Let d be 61/85 + (-6)/10. Is w bigger than d? False Let z = -28 + 31. Let q be 84/8 - (-1)/(-2). Suppose -5*h = -z*h + q. Which is bigger: -4 or h? -4 Suppose 24 = 8*p - 0*p. Suppose 0 = 2*z - 5*z + 141. Suppose -3*t + 11 - z = 5*n, -p = -t. Is -9 at least n? True Let m = -445/27 - 290/27. Let x = -83/3 - m. Is 1 less than x? False Let n = -10.3 + -0.7. Let f = -52.1 + 52. Is n at least f? False Let w be ((-1080)/110 + 10)/(-3). Let m(j) = j**2 + 5*j - 5. Let n be m(-6). Is n > w? True Let b = 15 + -99. Let a = 73 + b. Which is smaller: -2 or a? a Let l be 4738/276 + -1 + -15. Suppose 4 + 1 = -2*r + 5*z, z - 1 = -2*r. Let q be (r + 2)/(1/1). Is l != q? True Let u be (-6)/(-3)*(-9)/(-6). Suppose -u*a + 2 = -7. Suppose -a*l + 5 = -1. Is l bigger than 1? True Let j(v) = v**3 - 10*v - 6. Let w be j(-5). Is -77 not equal to w? True Let c = -43 - -66.3. Let s = 22 - c. Let x = -1.3 - s. Which is bigger: 1 or x? 1 Let r = 42.65 - 0.65. Let q = r + -43. Which is smaller: -2 or q? -2 Let u = -0.05 + -0.23. Let w = u + -0.12. Is -0.2 less than w? False Let v(b) = 12*b**2 - 13*b - 28. Let c be v(7). Do c and 469 have the same value? True Let i be ((-1762)/3171)/(-2) + 10/(-15). Let s = -6/151 + i. Suppose 3 = -2*r + 5*l + 1, -3 = 3*r - l. Which is greater: s or r? s Let a be 12*(0 - (-2 - -12)). Let f be (-7)/(-2)*a/(-140). Let g be f/(-36) - 6/(-18). Is g < 1? True Let b = -56 - -57. Let v = 0.7 + -0.2. Let o = 0.5 + v. Is o <= b? True Suppose 0 = -5*i - 15. Is -3 not equal to i? False Let n = -74 - -71. Let w be n/4 + (-4)/16. Is 3/49 not equal to w? True Let k = -4423/123 - -12/41. Let v = k - -36. Which is smaller: 0.2 or v? 0.2 Let a(c) = 3*c**2 - 1. Let i be a(1). Suppose 0 = i*y - y. Suppose y*x + 5*x = 0. Which is smaller: -4/3 or x? -4/3 Let l(a) be the second derivative of a**5/20 - 5*a**4/4 + 5*a**3/2 - 15*a**2/2 - 73*a. Suppose -4*b + 88 = 32. Let f be l(b). Which is greater: f or 2/47? 2/47 Suppose j - 39 = 6. Suppose -141*u + 4652 = -1834. Which is greater: u or j? u Let k = 5/42 - -65/42. Is k <= 17? True Suppose 2*g + 4*x = 12, -10*x - 6 = 3*g - 12*x. Are -19 and g unequal? True Suppose -4*x + 3*y + 19 = 0, 4*x + 0*y + 11 = -3*y. Which is bigger: x or -9/116? x Suppose 2*u = 4*p - 18 - 0, 3*p - u = 16. Suppose p*d - 39 = 8*d. Is d smaller than -37? True Let m = -31.7 + -2.3. Let n = m - -16. Let q = n + 16.4. Is -2/7 greater than or equal to q? True Let p = 0.054 - -43.946. Let a = -43 + p. Is a bigger than -35? True Let r = 61.2 - 133.2. Is r greater than or equal to 3/2? False Let l be 2/(-15) + 3672/26325. Does -1 = l? False Suppose -j = -2*j - 1. Let z = -21.052 + 0.052. Let w = -27 - z. Does w = j? False Let l(s) = -s**3 + 5*s**2 - s + 3. Let x be l(5). Let z be (-7 - 2) + -1*2. Let m = 9 + z. Are x and m equal? True Let j = -9841306023/637 + 15449441. Let s = j + 246/13. Which is greater: 1 or s? 1 Let u(x) = 4*x + 1. Let p(m) = 13*m + 3. Let h(v) = -2*p(v) + 7*u(v). Let b be h(1). Suppose -6*g + b*g = 18. Are g and -5 nonequal? True Suppose 0 = -6*u + 37 + 41. Suppose 5*p - u + 8 = 0. Which is smaller: p or 5/16? 5/16 Let p(b) = -b - 5. Let o be p(0). Suppose 5*x = x - 88. Let u be x/4 + (-14)/28. Is o equal to u? False Let k be 46380/(-9)*(-36)/(-4092). Let x = 498/11 + k. Is x bigger than 0? False Let o(m) = 4*m. Suppose -q - 2 + 3 = 0. Let l be o(q). Is l bigger than 5? False Suppose 4*i + 68 = -4*s, 0 = 2*s + 10. Let a = 0.94 - 0.986. Let n = a + 0.146. Is i at most as big as n? True Let i be (4*(-4)/(-40))/((-3)/(-60)). Let p be 7*(0 + i/14) + -4. Which is smaller: -3/7 or p? -3/7 Let n(d) = d - 1. Let o be n(3). Let x = -365 + 373. Which is bigger: x or o? x Let v = -0.1697 - -0.0697. Is v not equal to 1.5? True Let x = -39 + 38. Let c = -84 - -81. Which is smaller: c or x? c Let w be (-10)/4*708/(-15). Let k = -2624.9 - -2625. Which is bigger: w or k? w Suppose 268 - 368 = -4*q. Suppose 0 = -24*v + q*v. Which is bigger: -1/98 or v? v Let v be (-692)/(-136) - 5 - 2/17. Which is smaller: v or 0.1? v Let p = 1686.9 - 1687. Suppose -2*k + 3 = 51. Is k at most as big as p? True Let m(r) = r**3 + 8*r**2 + 12*r + 3. Let g be m(-6). Suppose -g*b - 4 = -b. Let h be 50/(-88) - (-4)/(-22). Which is smaller: h or b? b Let m be (2/(-5))/((-1)/(-5)). Let k = -11413/7 - -1630. Which is smaller: m or k? m Let n be 0 + -9 + (-2 - 1 - 2). Which is smaller: n or -261/17? -261/17 Let c be 8 + (-11)/143*113. Let d = 4 - 5. Is c >= d? True Suppose 0 = 5*h - 92 - 3. Suppose 0 = 4*k - 2*k + 4. Let c(n) = -2*n**3 + 2*n**2 + 4*n + 2. Let p be c(k). Are p and h unequal? True Suppose 3*y + 50 = -25. Let c be 1/y*(1 +
{ "pile_set_name": "DM Mathematics" }
+ 1 - 2*g)*(-4 - 1 + 4) + (-3 + 3 - 2*g)*(-6 + 2 + 3). 4*g Expand (-m + 3*m + 0*m)*(2 - 1 + 1) + (1 + 0 + 0)*(-3 + 3 + m) + 3*m - m - 4*m. 3*m Expand -20*t**3 - t + 3*t + 11*t**3 + (4 - 3 - 3)*(t - t + 2*t**3) - t**3 - t + t. -14*t**3 + 2*t Expand (2*f - 8*f + 2*f)*(-2 + 2 + f). -4*f**2 Expand (6*c**3 + 4*c**2 - 4*c**2 + (0 - 4 + 6)*(2*c - 2*c - c**3) + (-c + 2*c - 2*c)*(c**2 + 0 + 0))*(1 + 2 - 5). -6*c**3 Expand (8*i + 41 - 41)*(-2 + 5 - 4) - 2*i + 3*i + i. -6*i Expand (2*o + 0 + 0)*(8*o**2 + 6*o**2 + 0*o**2 - 2*o). 28*o**3 - 4*o**2 Expand -2*a**4 + 2*a - 2*a + (0 - 2*a**2 + 0)*(-4*a**2 + a**2 + 4*a**2) + (-2*a**3 - 4*a**3 + 4*a**3)*(4 - 4 - a) + 1 - 1 + a**4. -a**4 Expand (-3*p + 5*p + 0*p)*((-4*p + p**2 + 4*p)*(3*p - 5*p + 4*p) + 4*p**3 - p**3 - 2*p**3) + (-p + 3*p + p)*(-2 - p**3 + 2). 3*p**4 Expand (-5 + 1 + 1 - 1 - 2 + 4 + (-2 + 4 + 0)*(-3 + 1 + 0) + 2 + 1 - 2)*(-5*w - w + 4*w + (-5 + 2 + 2)*(2 - 2 - w)). 5*w Expand (0*s - s + 2*s)*(-s**3 + 0*s**3 + 0*s**3) - 1 - 2*s**4 + 1 + (s**2 - 4*s**2 + s**2)*(2*s**2 - 5*s**2 + 2*s**2) + 2*s**4 + 2*s**3 - 2*s**3. s**4 Expand (-q + q - 2*q)*(3*q - q - 4*q) + q**2 + 5*q**2 - 5*q**2 + 3*q**2 - 5*q**2 + 10*q**2. 13*q**2 Expand (4*c + c**2 - 4*c)*(c**3 + 0*c**3 - 2 + 3). c**5 + c**2 Expand (2*q**3 - 2*q + 2*q)*(-3*q - q + q) - 2*q**2 + 2*q**2 + q**4. -5*q**4 Expand 2*i + 6 - 4 - 3 + (-2 + 2 - 3*i)*(0 - 1 - 1). 8*i - 1 Expand (-20*g**2 + 20*g**2 + 7*g**3)*(-g - g + 5*g). 21*g**4 Expand (5*m**3 - m**3 + 0*m**3)*(2*m**2 - 7*m**2 + m**2). -16*m**5 Expand -3*b**5 + 0*b**3 + 0*b**3 - 4*b**5 - b**3 + 2*b**5 - b**5 + (-4 + 4 - b**5)*(0 - 1 + 2). -7*b**5 - b**3 Expand -3*q**3 + 9*q**3 - 2*q**3 + (-10*q + 1 - 1)*(q**2 - 3*q**2 + 0*q**2). 24*q**3 Expand -3*o**4 + 5*o**4 - 3*o**4 + (2*o + 2*o - 3*o)*(6*o**3 - 19*o**3 - 3*o**3). -17*o**4 Expand (-i - 3*i - 5*i)*((i + 0*i + i)*(-i**2 + 3*i**2 + 0*i**2) + 2*i**2 + i**3 - 2*i**2). -45*i**4 Expand 2*k + 3 - 3 + (2*k - 4*k + 4*k)*(-3 - 2 + 4) - k - 2 + 2 - 180*k + 69*k + 2955 - 2955. -112*k Expand ((3 + u - 3)*(-3*u + 4*u - 3*u) - 314 + 314 - 42*u**2)*(-3 + 0 + 1). 88*u**2 Expand -2*v**4 + 3*v**4 - 3*v**4 + 3 + v**4 + 5 - 1 + (0 + 2*v**3 + 0)*(v + 0*v + v). 3*v**4 + 7 Expand (2 - q**2 + 0*q + 0*q)*(-3 + 0 + 2)*(12 - 3 + 1). 10*q**2 - 20 Expand (h - 3*h + h)*(3 + 1 - 3) + 5*h - h - 2*h + 3*h + 1 - 1. 4*h Expand ((-2 + 5 - 4)*(-9 + 0 + 3) + 0 - 2 + 1 + (-1 - 2 + 2)*(1 - 3 + 3) - 2 + 0 + 4 + 2 - 5 + 2)*(w + w - 3*w). -5*w Expand (-c + 0*c + 2*c)*(5 - 2 - 2). c Expand (-5 + 3 + 4)*(-10 + 9 - 12)*(4 + 4 - 6)*(5*j - 4*j - 3*j). 104*j Expand (5 - 5 + 2)*(4*u - 5*u + 4*u) + 26*u - 8*u + 6*u. 30*u Expand (4*f + f + 0*f)*(5*f - 5*f - f)*(2*f**2 - 4*f**2 + 3*f**2). -5*f**4 Expand (-4 - 2 + 5)*(3 - 3 + u) + 10*u + 1 - 5*u + 0. 4*u + 1 Expand (-s**2 + 3*s**2 - s**2)*(-19 - 13 + 11)*(-3*s - s + 3*s). 21*s**3 Expand (0 - 2 + 3)*(-5*y + 2*y + 0*y + (-3*y + y + 0*y)*(4 - 3 - 3)). y Expand (-v - 3 + 3)*(45*v - 39*v - 23*v). 17*v**2 Expand (n + 1 - 1)*(0 - 1 + 2)*(-4 + 1 + 2*n + 2). 2*n**2 - n Expand (-2*j**2 - 3*j**2 + 3*j**2)*(-2 - 2 + 5) + (2 - 2 + 2*j)*(-5 + 2 + 1)*(3*j + j - 5*j). 2*j**2 Expand (-7 + 4 + 2)*(-1 - 3 + 2)*(-2*c + 2*c + 4*c). 8*c Expand (7*a + 4*a - 2 - 4*a)*(-2*a**3 - 7*a**4 + 2*a**3). -49*a**5 + 14*a**4 Expand (1 + j**3 - 1)*(-j - j + 3*j) + 0 + 3*j**4 + 0. 4*j**4 Expand (0*u - u - u)*(-23*u - 3*u + 0*u). 52*u**2 Expand (0*v + 5*v + 4*v)*(-v + v - v**3)*(2*v - 3*v - v). 18*v**5 Expand (-o - 2*o + 4*o)*(-5*o**2 - 9*o**2 + 9*o**2). -5*o**3 Expand (0 + 1 + 1)*(-5*p - p + 4*p)*(-2 - 1 + 2). 4*p Expand (-2 + 2 + 1)*(0 + 0 + 2)*(-2 - 1 + 5)*(-1 + 3*c**2 + 1). 12*c**2 Expand (w + 0*w + 0*w)*(-13 + 8 - 4). -9*w Expand (-4*t + 3*t + 4*t)*(-2*t - 412 - 7*t**2 - t**3 + 412). -3*t**4 - 21*t**3 - 6*t**2 Expand (0*y**4 + 3*y**4 - 4*y**4)*((-2*y + y + 0*y)*(-2 + 0 + 0) + 2*y + 4*y - 4*y + 6*y - y + 8*y). -17*y**5 Expand (106 - 68 - 119)*(-3*x**3 + x**3 + 4*x**3). -162*x**3 Expand (2*t - t**2 - 2*t)*(-2*t**2 + 2*t**2 - 2*t**2) + (-2*t**2 - 2 + 2)*(-6*t**2 + 6*t**2 + 7*t**2). -12*t**4 Expand t + t - t - t + 1 - 1 + (4 - 1 - 2)*(-2*t + 2 - 2). -2*t Expand 3*b - 4*b + 3*b + (3*b + 0*b - b)*(2 - 1 - 2) + 5 - 5 + 6*b. 6*b Expand (n + 5 - 4 + 1)*(-2 - 3*n + 2). -3*n**2 - 6*n Expand (-n - 1 + 1)*(-3*n - 2*n + 3*n) + 11*n - 8*n**2 - 11*n. -6*n**2 Expand (-69 + 10*i + 69)*(-2 + i + 2)*(0 - 2*i + 2 - 3). -20*i**3 - 10*i**2 Expand (0 + 3*s**2 + 0)*(6*s**3 + s**3 - 4*s**3 + (3*s - s - 3*s)*(3*s**2 - 4*s**2 + 0*s**2)) - 2*s**3 - 2*s**5 + 2*s**3. 10*s**5 Expand (-3 - 12 - 10 + (2 + 0 + 0)*(2 + 0 - 1))*(5*j**2 + j**4 - 5*j**2). -23*j**4 Expand 2*f**2 - 2*f**2 + 2*f**5 + (4*f - f - f)*(3*f**4 + 2*f**4 + 0*f**4). 12*f**5 Expand 2*h**3 + 2*h**3 - 3*h**3 + (2*h**2 + 2*h**2 - 3*h**2)*(5 - 6*h - 5) - 9*h + 9*h - 6*h**3. -11*h**3 Expand 2*d - 2*d + 2*d**3 + (d + d + 0*d)*(0*d - d**2 + 0*d) - 2*d**3 - 2*d**2 + 2*d**2 - d**3 - 3*d**3 + d**3 + d**3 + 0*d**3 - 2*d**3. -6*d**3 Expand (-3*g + 3*g - 2*g)*(2*g + 5*g + 0*g)*(-g**2 - 2*g + 2*g). 14*g**4 Expand (3*u - 3*u + 2*u)*(9 + 3 - 1 + (3 - 2 - 3)*(3 + 1 - 5)). 26*u Expand (-3*k + 3*k + 2*k)*(4*k + 4*k - k). 14*k**2 Expand (-1 + 6 + 5)*(r - 3*r + r). -10*r Expand (-4*p - 3*p + 5*p)*(2*p + 3*p + 3*p) + p**2 + 6*p**2 - 4*p**2. -13*p**2 Expand 2 - 2 + k - 1 + 2*k + 1 + (-k - 3*k + 5*k)*(-1 - 2 + 2) + (2 - 1 + 2)*(k - 3*k + k). -k Expand (2*h + 2*h - 2*h)*(4 - h**2 - 4 + (4*h - h - 2*h)*(h + 0*h - 2*h)). -4*h**3 Expand (-2*s + 5*s - 6*s)*(-1 - 3 + 3). 3*s Expand (-3 - 1 + 2)*(13*l**2 + 6*l**3 - 13*l**2). -12*l**3 Expand v**2 + 2*v**2 + 0*v**2 + (0 + 0 - 2)*(-2*v**2 - 2 + 2). 7*v**2 Expand (-1 - d + 1)*(d**2 + 0*d**2 - 2*d**2) - 2*d**3 + d**3 + 2*d**3 + 0*d**3 - 4*d**3 + 5*d**3 - 2*d**3 + 6*d**2 - d**3 + 4*d**3. 4*d**3 + 6*d**2 Expand (-3 + 2 + 0)*(4*d + 2*d + 4*d). -10*d Expand (n - 3*n + 0*n)*(6 - 5*n - 6) - 3*n**2 - 5 + 5. 7*n**2 Expand (-2*b**2 + 3*b - 3*b)*(-18 + 18 - 5*b) + (-b**2 + 3*b**2 - 3*b**2)*(3 - 3 + b) - 4*b**3 + b**3 + b**3. 7*b**3 Expand (-4 + 4 + 2)*(-2*k**5 + 4*k**5 + 0*k**5) + (0 + k**4 + 0)*(-2*k + 0 + 0) - 3*k**5 - 5*k**5 + 0*k**5 + 2*k**5 - 5*k**4 + 5*k**4. -4*k**5 Expand 2*r**4 - 3*r**4 + 2*r**4 + 7*r**3 - 4*r**4 - 7*r**3 - 2*r**4 - 4*r**2 + 4*r**2 + (2 - 3 + 3)*(r**4 + 3*r**4 - 2*r**4). -r**4 Expand (0 + 2 - 1)*(-5*c + 2*c + 4*c)*(-12 + 12 + 5*c). 5*c**2 Expand (j**3 + 2*j**3 + 2*j**3)*(-2*j + 7*j**2 + 2*j) - j**3 + j**5 + j**3 - 2*j**5 + j**5 + 3*j**5 + (5*j + j - 5*j)*(2*j**2 - 2*j**2 + j**4). 39*j**5 Expand (-f - f + f)*(4 - 5 + 0)*(15 - 5 - 1). 9*f Expand (-2 + 2 - 2)*(5 - 3 + 0)*(-3*z**2 + z**3 + 3*z**2). -4*z**3 Expand v**3 + 4 + 2*v**4 - 4 + 5*v**4 + 0*v**4 - v**4 + (0*v**3 + 4*v**3 - 3*v**3)*(-2*v - v + 5*v) - v**4 + 2*v**3 - 2*v**3. 7*v**4 + v**3 Expand (14*d - 16*d + 5 - 29)*(3 - 4 + 3). -4*d - 48 Expand (1 + 11723*l - 6 - 11701*l)*(0 + 0 - l**2). -22*l**3 + 5*l**2 Expand ((2*v + 4*v - 4*v)*(-4 + 8 + 0) + 5*v + 0*v - 4*v)*(1 - v - 1)*(-1 + 4 - 1). -18*v**2 Expand (-p - 1 + 20 - 2)*(2 + 2 - 2)*(-2*p - p + p) + (2*p - 4*p + 4*p)*(3*p - p + 0*p). 8*p**2 - 68*p Expand (-1 - y**2 + 1)*(-y - 2*y + 6*y)*(-6 + 0 + 2). 12*y**3 Expand -2*n + 5*n - 3*n**3 + 4*n**3 + (n + n - n)*(n**2 - 6*n**2 + n**2). -3*n**3 + 3*n Expand (5*u**2 - 1218*u + 1218*u)*(-2 + 5 - 1) + 2*u - 2*u - u**2. 9*u**2 Expand (-d**3 - 2 + 2)*(0*d**2 + 0*d**2 + 3*d**2)*(-4 + 1 - 2). 15*d**5 Expand (-14*c**2 + 2*c**2 + 3*c**2)*(-7*c + 7*c + 5*c**2) - 2*c**4 + 2*c**4 + c**4. -44*c**4 Expand -7*o**3 + 8*o**3 + 4*o**3 + 0*o**3 + 0*o**3 + o**3 + (-2*o**2 + 0*o**2 + 0*o**2)*(-o - o + o). 8*o**3 Expand -2 - 2*c**3 + 2 + (2*c - 2*c - c**2)*(2*c + 15*c - 2*c). -17*c**3 Expand 6*y - 3*y + 0*y + (4 - y - 4)*(1 - 1 + 1) + y + 0*y - 2*y + (5*y - 2*y - y)*(5 - 4 - 2). -y Expand (3*b**3 + b**3 - 2*b**3)*((-1 + 2 + 1)*(5*b - b - 2*b) - 2 - 2*b + 2 + (-1 + 3 + 0)*(4*b - 2*b + 0*b)). 12*b**4 Expand (g**3 - 3*g**3 + 3*g**3)*(g**2 - 1 + 1 + 5 - 5 + g**2 + (0 + 0 - 2*g)*(-1 + 1 - 2*g) - g**2 - 3*g**2 + 6*g**2). 8*g**5 Expand (-4 + 3 - 1)*(-6*y - 5 + 5 - 1). 12*y + 2 Expand -4*k**5 + 5*k**5 - 3*k**5 + (-k + k**4 + k)*(k - 6*k - 5*k) - 2 + 2 + 2*k**5. -10*k**5 Expand -467 - 36*u + 467 + (-5 + 2 + 2)*(4*u + 2*u - 5*u). -37*u Expand (0*s**2 - 4*s**2 + 3*s**2)*(1 + 2 + 0)*(-2 + 1 - 1). 6*s**2 E
{ "pile_set_name": "DM Mathematics" }
= 1 for h. -5 Suppose -48 = -3*z - x, -3*z + 39 = -4*x - 9. Suppose 0 = 3*g + 4*w + 6, -19 + z = w. Solve -d + 12 = -g*q + 2, -10 = 2*q for d. 0 Let b be -1*(-3 + -2) + -17. Let p be b/14*((-448)/12)/4. Solve 4*n - 3*x + 9 = 31, -4*x + p = 4*n for n. 4 Let m = 182 + -183. Let p(l) = 41*l + 51. Let o be p(m). Solve 4*a + o = 2*i, -4*a + i + 3*i = 8 for a. -3 Let k be (-4)/30 + 4245/(-225) + 22. Solve -23 = -4*m + d, k*m + 2*d - 4 - 5 = 0 for m. 5 Suppose -4 = -4*c - 0*k - k, -3*c - 2*k = -8. Let y be -2 - c - 5/5. Let d(v) = v + 8. Let h be d(y). Solve h*a = -5, -5*f + 6 = -f + 2*a for f. 2 Let k = -4032 + 4047. Solve 5*b - 6 = -l, k = 4*b - 3*l - 5 for b. 2 Suppose -238 = -14*w - 252. Suppose -a - a - 3*q - 9 = 0, q + 1 = 0. Let p be w + 5/a*-3. Solve p*r = -0*s - 2*s + 2, 13 = -3*s + 2*r for s. -3 Suppose 0 = 17*t - 12*t + 295. Let b = -55 - t. Suppose 4*h = b*r - 32, r + 0*r + 2*h = 8. Solve 0 = -4*c + n + 1, -2*c = -5*c - n - r for c. -1 Let m(f) = f - 2. Let l(w) = -19*w - 141. Let o(p) = l(p) - m(p). Let c be o(-7). Solve 5*b + 10 = 5*j, c = 2*b + 3*j - 4*j for b. 3 Let o(q) = q**3 + 24*q**2 + 44*q + 6. Let v be o(-22). Let a be 35/25 + v/10. Solve 3*b + 23 = -a*x, x = -5*b - x - 33 for b. -5 Let g = 1539 - 1513. Solve 5*x = -5*p - 7 - 8, -4*p + 3*x = g for p. -5 Let j(q) be the first derivative of 2*q**3/3 + 13*q**2/2 + 22*q + 68. Let s be j(-4). Solve 0 = -5*v - 12 + s, -g + 5*v = -7 for g. -3 Let l be (36/(-9) - -5)/2*(-10)/(-1). Solve l*w + 2*r + 24 = 0, -4*r = -w + 7 - 3 for w. -4 Let g(h) = -h**2 + 22*h + 3. Let c be g(22). Solve 4*i + 4*w - 12 = 0, -5*i + 3*w - 4 = -c*i for i. 1 Let n be -6*(-35)/15 - 11. Solve 126*f = -n*v + 125*f - 5, 0 = -3*f - 15 for v. 0 Let o be 3 + ((-2)/1)/2. Let k be 2*(-1)/o*-2. Let f = -3550 - -3559. Solve 0 = k*t - v - f, 4*v + 6 = -6 for t. 3 Suppose 648 = 2*c - 11*c. Let u be (8/(-36) + (-304)/c)/2. Solve 3*m = -4*p + u, 4 = -3*p + m - 6*m for p. 2 Let r = 248 + -805. Let k = r - -560. Solve -3*w - 3*a + 23 = -8*w, -w = a + k for w. -4 Let a(g) = -797*g + 4821. Let i be a(6). Solve 13 = -3*t + l, 4*l = -2*t - 43 + i for t. -4 Let n = 432 - 400. Suppose -2*f = y + 2*f + 20, 0 = -5*y + 3*f + 15. Suppose -5*t - 7 + n = y. Solve 3*s - 7 = -j, -j - 4 = -4*s - t*j for s. 3 Let l be -2*(-52)/(-32)*4. Let a = l - -16. Let q(c) = -11*c - 414. Let g be q(-38). Solve 5*y = a*i + 7, g*i + 5*y + 21 = -0*i for i. -4 Suppose -2*o + 4*x = -48, 2*o - 6*o + 96 = 5*x. Suppose o*d = -0*d + 4*d. Solve 8 + 4 = 2*f - 3*m, 4*f + m + 4 = d for f. 0 Suppose 0*l + 4*l = 4*q - 4, 2*l = 5*q - 14. Suppose l*d = v + 1, 4*d = -4*v - 0*d + 12. Solve 3*j + 14 = 5*a, -j + 3*j = v*a - 8 for a. 1 Let u(c) = -158 + 15*c + c**2 - 179 + 351. Let l be -1 + (-30)/2 + 2. Let p be u(l). Solve p*j - 5*a = -2*j - 17, -5*j + 25 = a for j. 4 Let i be 400/140 + 92/7. Solve -4*x = -i, 42 = -18*a + 12*a + 3*x for a. -5 Suppose 3*i - 21 = 3*d, -2*d - 4 = -3*i + 18. Suppose -4*m + 8 = 0, 2*h + h - 5*m = i. Suppose -2*l + h*l = 0. Solve 8 = -x - 2*z, x - 4*z - 6 - 16 = l for x. 2 Let j(t) = -t**2 + 20*t - 25. Suppose 0 = -63*b + 59*b + 40. Let u be j(b). Let f = u + -75. Solve f = -h + 6*h - x - 14, 3*x = h for h. 3 Let j(r) = r**2 - 2. Let g be j(-2). Let m be (-16)/32*-2 + (0 - 1). Suppose -2*n + g + 6 = m. Solve 2*p - 4*t = -0*t - 8, -5*t = -p - n for p. -4 Let y = 16919 - 16919. Solve -n + 5*g + 23 = y, 323*g = -4*n + 320*g for n. 3 Let o be -36*12/(-54) + -5. Solve -3*q - 3*f = -3, 0 = -2*q + o*f - 8*f - 1 for q. 2 Suppose 7 + 29 = v - 5*g, g + 4 = 0. Suppose -v*z + 27*z - 44 = 0. Solve 15 = o - 4*t, 4*t = 4*o + 2*t - z for o. -1 Suppose q + 103 = -0*q. Suppose -f + 239 = -2*y, -3*y - 574 = -f - 215. Let w = q - y. Solve 3*m = -j - 1, -5*j + 3*m = 6*m + w for j. -4 Suppose 57*k = 55*k + 14. Suppose -15*u + 37 = k. Solve u*b = -3*p + 15, 4*b - 25 = -0*p - 5*p for p. 5 Let u be 585/180 + (6/8)/(-3). Suppose 13*f = u*f + 50. Solve v - 13 = f*h, 3*h = 4*v - 10 - 8 for v. 3 Let t be (48/(-20))/((-3)/(-10)). Let n be (4/1)/(-7 - t). Solve 3*u - 3 = 4*d, 4*u - n = 2*d - 3*d for u. 1 Suppose 16*w + 121 = 354 + 231. Solve -o = -5*u + 41 - 22, -5*o + 3*u = w for o. -4 Suppose -248*h + 15 = -245*h. Solve 2*q - 21 = 5*a, q + 33 = -3*q - h*a for q. -2 Suppose b - 5*u + 21 = -b, 3*u - 13 = b. Solve -3*t - 18 = 0, 3*t = -b*i + t - 14 for i. -1 Suppose 11*r + 79 = -152. Let v be ((-196)/r)/7*3. Solve 2*k + h = 6*k + 12, -v*k = -5*h + 12 for k. -3 Suppose 38*p - 726 = -204*p. Solve 1 = -p*f + 2*t, -f + 22 = -2*f + 5*t for f. 3 Suppose w = 311*c - 309*c + 4, 2*c = 4*w - 16. Solve 2 = 2*n - 2*b, 7 = 11*n - 6*n - w*b for n. 3 Let w = -203 + 205. Suppose -w = 3*j + 3*s + 4, -j = -2*s - 10. Solve t + 0*t + 23 = 5*d, 2*d = j*t + 14 for t. -3 Let t = -16299 + 16350. Solve 10 = -4*c + 2*r, 0 = -c - r - t + 41 for c. -5 Let y be 1/(-3) + (-210)/(-9). Let t be (-15)/(-5) - -16*29/(-464). Solve -5*k = -q - y, -4*q + t*k - 24 = -k for q. -3 Let i = -1662 + 1667. Solve h + 3*o + 4 = 8, i*h + o - 6 = 0 for h. 1 Let y(x) = -x**2 + 724*x + 5119. Let m be y(-7). Solve m*q + 3*a = -2*a - 17, -4*a = q + 16 for q. 4 Let q be 1*170 - (13/1 - 10). Let r = -162 + q. Solve -5*h = -u - r, 3*h = -0*h for u. -5 Suppose -2*a + 280 = 3*a. Let z be (6/(-4) - 1)*3276/(-455). Let v be (-2)/18 + a/z. Solve -2*q = v*t + 10, 5*q - 3*t - 9 - 8 = 0 for q. 1 Suppose 172*f - 42*f - 260 = 0. Solve 0 = -4*c - f*t + 20, c + c - t = 10 for c. 5 Let v = 12275 - 12274. Solve m + 0 = -3*c + v, 5*c - 30 = 4*m for c. 2 Let b = 233 + -163. Suppose -3*x - g - 250 = 0, 0 = -x + g + 2*g - b. Let p = x - -83. Solve 2*k = -5*o - 12, 4*o + 4 + p = 3*k for o. -2 Let a(p) = 82*p + 86. Let k be a(-1). Solve -12 = -5*h + k*x, x = h + h - 3 for h. 0 Let m(p) = -p - 14. Let d be ((-3 - -8)/5)/((-1)/15). Let t be m(d). Solve -t = -3*c + 4*c - f, 5*c - 3*f + 3 = 0 for c. 0 Suppose 0 = x - 3*l - 4, -3*x = -l - 20. Suppose -v + 4*u = x, -u = 2*v - 2*u - 7. Solve 3*z = 5*p + 3, 5*p - 6*z + z = v for p. -3 Let d = 39 - 30. Suppose -13*h + d*h = -8. Suppose 4 = 3*f - h*f. Solve r = q - 2, f*q - 1 + 29 = -5*r for r. -4 Let y(t) = -2*t**3 - 94*t**2 - 3*t - 136. Let n be y(-47). Let f(k) = 13*k**2 - 78*k + 3. Let v be f(6). Solve -n*q - 3*i = -2 - 6, v*q - 5 = -2*i for q. 1 Let x = -297 + 445. Suppose 5*l = x + 72. Solve 0 = -2*i - 4*s + 10, 12 - l = 4*i - 5*s for i. -3 Let b be (1 - -1)/(2/20*4). Let q(c) = c**3 + 9*c**2 + 14*c - 16. Let d be q(-5). Solve y - 2*g = -3*g - 2, -b*y - 3*g = d for y. -4 Suppose 2*o + 5*x - 15 = 0, 3*o - 4*x - 54 = -2*o. Let z(p) = -3*p + 65. Let c be z(o). Solve 4*w = -u - 25, -w + 2*u = -6*w - c for w. -5 Let t = -450 + 452. Let f be ((-12)/(-10))/(t/((-40)/(-12))). Solve -3*g + 9 = -d, f*d = -d + 3*g - 3 for d. 3 Let m(w) = -4*w + 36. Suppose 70 = 10*c - 20. Let i be m(c). Let j be 1*((-1)/((-3)/(-9)) - -6). Solve i*u - u = t - 4, 2*t = -j*u + 8 for u. 0 Let x(q) = q**3 + 15*q**2 + 13*q - 13. Let j be x(-14). Suppose -n + 0*n = -2*c - 9, -n - 3*c - j = 0. Solve 3*h + n*r - 1 = 0, 6*r - 3*r + 9 = 3*h for h. 2 Let y = -644 - -647. Solve -y*s + n = -6, -3*s - 5*n = -2*n - 18 for s. 3 Let f = 1250 + -809. Let j = f - 425. Solve 5*a = -b - 27, j = 3*b - b - 4*a for b. -2 Suppose 24 = -0*a + 4*a. Let f = 123 + -114. Suppose f*z - 7*z - 4 = 0. Solve 4*l = -k + 22, k = -z*k + a for l. 5 Let a(n) = -5*n - 2. Let k(c) = c**2 + c - 13. Suppose i - 16 = 5*u - u, i - 5*u = 21. Let r be k(i). Let v be a(r). Solve -v*m + 6 = 0, 5*m = 5*p - 0*m for p. 2 Let s(f) = -6*f + 12. Let n(k) = k. Let g(d) = -8*n(d) - s(d). Suppose 7*v = -32*v - 273. Let p be g(v). Solve c + 6 = a, 2*a + p*c + 8 = -0*c for a. 1 Let j = 110 - 106. Suppose -c - 3 = 3*n, n + 3 = -j*c - 2*n. Suppose 0*s + 2*o - 19 = -5*s, c = 3*o + 9. Solve 12 = -2*i + s*k, -4*k + 5 = 2*i - 19 for i. 4 Let c(s) = -20351*s + 20354. Let v be c(1). Let o = -3 + 5. Solve 3*a = -3*m - v, -2 = o*a - a for m. 1 Let q be (5 - (-5 - -4)) + -3. Let l = -5966 - -5968. Suppose a + 2*s = 0, -4*s - 1 = -a + 11. Solve -4*c + 2*z - a - l = 0, -q*z + 4 = -c for c. -1 Suppose 0 = -58*s - 27 + 116 + 143. Solve -m - i - 2 = -11, 3*m + s*i - 31 = 0 for m. 5 Let l = -4943 - -4947. Solve -2*b = 5*h - 15, 0 = l*h + 4*b - b - 12 for h. 3 Let o(c) = 35*c**3. Let g be o(1). Let a = g -
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
= 5, 3*z - 27 = 3*j + 3. Suppose -9*h = -32 + z. Solve -2*p + 3*g - 2*g + 13 = 0, 3*g - 6 = -h*p for p. 5 Let q(m) = m**3 + 13*m**2 + 19*m - 6. Let g be q(-2). Solve -5*v - f + 29 = g, -2*v + 8*f = 4*f + 6 for v. 5 Let d(t) be the second derivative of 0 + 1/3*t**3 - 1/3*t**4 - 2*t**2 + 10*t + 1/20*t**5. Let h be d(4). Solve -2*r + h*r = j - 12, 3*j - 1 = -r for r. -5 Let j = -177 - -180. Solve 17 = -4*x - z, -x - j + 1 = z for x. -5 Let u be -6*(3/(-6) + -1). Suppose -h = -4*h + u. Let d be (4 - (h - 0))*6. Solve 5*i + 1 = 4*c - d, -c + 6 = 3*i for c. 3 Suppose 9*m - 6*m - 11 = -5*v, -4*m = -4*v - 4. Solve 2*k - k = 3*i + 6, m*i + 21 = -5*k for k. -3 Let x(z) be the second derivative of -1/4*z**4 + z**3 - 1/20*z**5 + 2*z + 0 - 3*z**2. Let p be x(-5). Solve 3*k - 3 = b - p, -4*b = k + 21 for k. -5 Let u be (-3)/15 + (-4)/(-20). Let l be (-2)/(-8)*-2*u. Solve y - 3*c - 6 = l, 0 = y + 3*c + 2 + 4 for y. 0 Suppose 2*s = -10, -2*m + 0*m + 5*s = -55. Let d = 3 + m. Solve 2*g + d = -4*q, -g = -0*g - q for g. -3 Suppose -4 + 6 = c. Suppose c*n - 2 = 2*h + 2*h, 5*h = 5*n - 15. Suppose n*j = -3*q + 25, -j - 10 = -4*q + 8. Solve r + 5 = b + 3, -j*b + 4*r = 0 for b. 4 Let y = 18 - 13. Let t be 1/(2/y)*2. Solve 0 = -f + 5, -3*f + 28 = t*m + 3 for m. 2 Suppose -167 = 4*o - 5*i + 108, -i = o + 62. Let f = o - -69. Solve f*j + 12 = 4*h, -h + 7 = -j - j for h. -1 Let p be (-2 + -6)*3/(-4). Suppose -i + 5*z + p = 9*z, -3*z = 4*i - 63. Solve 5*d = -3*r + 3 + 3, 3*r = 3*d - i for r. -3 Let k = -684 + 686. Solve 2*r - k*u = -u - 10, 5*r + 14 = -3*u for r. -4 Let z(k) = k + 12. Suppose -5*d = 4 - 19. Suppose -2*o - 50 = d*o. Let r be z(o). Solve -3*i = 9, 3*c - 15 = -r*c + 5*i for c. 0 Let h = 50 - 47. Suppose h*f - 6 = -0. Solve 3*j - 7 = -3*o - 19, f*j + 1 = 5*o for o. -1 Let m be 32/(-40)*(-15)/6 - 0. Solve 0 = 5*h - 10, -8 = -2*p - h + m for p. 4 Let v(f) = f - 65. Let a be v(19). Let s = a + 56. Solve 2*i - 5*m + s = i, 4*i = -m - 19 for i. -5 Let t be (72 - 74)*(-3 + -7). Solve -4*u + t = -5*a, -2*u + 4*a = 3*a - 4 for u. 0 Let t = 367 + -364. Solve 3*u = 0, -t*u = -c - u + 5 for c. 5 Suppose -50 = -2*x - 3*x. Let o(y) = 2*y**2 + 46*y + 86. Let m be o(-21). Solve 3*f + x = 3*h - m, 3*f - 5*h = -22 for f. 1 Suppose 9*y = 6*y. Let d = 4 + 0. Suppose d*b - 3 = 3*b. Solve 3*w - 14 + 5 = 4*z, -5*w + b*z + 15 = y for w. 3 Let l(s) = -s**3 + 15*s**2 - 8. Let z be l(15). Let f(u) = 6*u - 1. Let r be f(-2). Let p = z - r. Solve -36 = -4*m - p*h, 5*m - 4*h + 6*h = 28 for m. 4 Let d be (2/4)/(11/44). Let o be -28 + (4 - (4 - d)). Let l = o - -28. Solve -v + 6 = l*k + 2*k, -2*v = -2*k - 2 for k. 1 Let b(h) be the third derivative of -h**4/12 - h**3/3 - 43*h**2. Let m be b(-3). Solve 1 = 3*k - 4*a - 24, m*a + 16 = 0 for k. 3 Suppose 4*p - 34 = -3*a, -p + 10 = 3*a - 3*p. Solve -5*z - a = -h - 3*h, -4*z = 5*h + 13 for h. -1 Suppose 0 = -1187*s + 1191*s - 12. Solve -4*b - 4*i = -2*b + 20, i = -s*b - 15 for b. -4 Suppose 3*a - 38 = 4*m, 3*a + 61 - 95 = 2*m. Solve 4*w + a = -2*n - 0*w, n - 2*w + 5 = 0 for n. -5 Let j = 3 + -11. Let o = 10 + j. Solve o*u = 2*x + 4, -4*u = 5*x - 1 + 20 for u. -1 Suppose -3*g - 10 = -22. Suppose 0 = 4*p + 5*u + g - 6, -4*p - 4*u = -4. Let c be (15/(1*-3))/(-1). Solve -c = -x - p*f + 12, -x = -4*f + 18 for x. 2 Let v be ((-8)/(-4) - -1) + 3. Suppose -9*w + 54 = -v*w. Solve 0 = 2*s - 5*f - w, -3*s + 23 = -2*f + 7 for s. 4 Suppose 4*v = v - 9. Let f be -17 - (v/(-3))/(-1). Let s = 17 + f. Solve 5*r - 5 = 0, -2*z - 5*r - s = -6 for z. 0 Suppose -20 = 5*k, 4*v + 0*k - 4 = 2*k. Let h(s) = -13*s + 2. Let m be h(v). Solve o - m = 2*g + g, 0 = -3*g - 3*o - 3 for g. -4 Let w(c) = -c**3 + 2*c**2 - 6*c - 8. Let r be w(-2). Solve 5*j + 2*u + 12 = 0, 4*j - r = 8*j - u for j. -4 Let z(k) = -k**3 - 8*k**2 + 10. Let p be z(-8). Let n = -7 + p. Solve -c + 3*t - 14 = 0, t - n*t - 2 = 5*c for c. -2 Suppose 0 = -5*r - 4*i + 74 + 4, -5*r + 60 = -5*i. Solve 2*k = -5*z + r, -k + z - 6 = 1 for k. -3 Suppose 5*q + 0*c - 14 = -4*c, 5*q = c + 9. Suppose 3*n - 58 = q. Suppose 0 = -0*b + 4*b - n. Solve -b*z - 11 = 3*x + 5, 3*z - 2*x + 2 = 0 for z. -2 Let y = 3 + 0. Suppose 0 = 4*g + 14 - 26. Suppose -10 = -5*z + 4*r + g, -3*z + r = -12. Solve -y*k = -3*v + k, -2*k = -z*v - 14 for v. -4 Suppose 9 = u - 45. Let z = -49 + u. Solve -z*s = 5*q + 5, -2*s + 4*q + 3 = 23 for s. -4 Let c = -2 + 2. Suppose -3*g + 0*g = c, -g - 12 = -3*m. Suppose m*t = -0*t + 12. Solve -o - s - 2*s + 4 = 0, -t = 3*o + 4*s for o. -5 Let r = -206 + 211. Solve -l - 4*p - 7 = 0, r*l + 3*p - 22 = 2*p for l. 5 Let r(i) = 9*i + 229. Let f be r(-24). Solve 6*x - 9*x + 4 = -2*z, f = 4*x + 5*z for x. 2 Let d(k) = -7*k - 14. Suppose -2*j = -5*c - 16, 2*c + 2*j = -2*j + 8. Let b be d(c). Solve -4*u - 3*y - 26 = b, -5*y + 2*y - 6 = 0 for u. -5 Suppose 0 = 3*w + 11 - 104. Suppose -h - 2*h + 5*x = 3, -4*h - 5*x + w = 0. Let z be ((-4)/(-8))/(2/h). Solve 4*j = -2*p - 16, 2*p - 13 = 3*j - z for p. 0 Suppose -7*y + 2*y - 3*r - 1 = 0, 3 = 5*y + r. Solve -f - y = -l, 4*l - 7*f - 16 = -6*f for l. 5 Let m be 10*(-3)/(-6)*(0 - -1). Solve -4*p - 17 = -p + m*t, -5*t = 5*p + 15 for p. 1 Let h(u) = u - 3. Let c be h(6). Suppose 2*t - 160 = -4*d + 5*t, 2*d - 3*t - 80 = 0. Let g = d - 36. Solve -g*x - 16 = 0, -c*q - 4*x = q for q. 4 Let d(t) = t**3 + 5*t**2 + 4*t + 2. Suppose 2*p + p = 6. Let c be 1 - (6 - p) - 1. Let o be d(c). Solve o*y = 4*f - 4, -y = 6*f - f - 5 for f. 1 Suppose s = 1, 1 - 12 = -5*d - s. Suppose -6*g + d*g = -j, -5*g - 7 = -3*j. Solve 3*v - 15 = -4*h, -h = j*v - 0*h - 20 for v. 5 Let r be -24 + ((-16)/(-48))/((-2)/6). Let v be (r - -22)*(-2)/6. Solve 5*q + 3*u = -1 - 2, u = 4*q - v for q. 0 Let g be (-1)/4 + 10/8. Let d(o) = o**2 + 58*o - 381. Let f be d(-64). Solve -f*z + 5*b = 21, -z = -3*z - b - g for z. -2 Suppose 0 = 27*o - 28*o + 17. Solve -i + 11 = 3*u, -2*i + o = 4*u + 3 for i. -1 Suppose 2*l + 0 - 8 = 0. Let o(k) = -k**2 + 9*k + 5. Let z be o(8). Let i(x) = -x + 15. Let a be i(z). Solve -h = a*r - 3*h + l, -5*r + h = -2 for r. 1 Let t(p) = 21*p + 98. Let w be t(-4). Solve 25 = 5*i, 2*o - 3*i - 9 + w = 0 for o. 5 Let u(f) = -8*f - 2. Let w(b) = -b - 1. Let y(j) = u(j) - 6*w(j). Let x be y(-1). Solve -5 - 4 = -r + 2*q, -2*r - 2*q = x for r. 1 Let a = 868 - 866. Solve a*g + 7 = 4*v + 29, 3*v = -4*g - 11 for v. -5 Let a = -5 + 11. Suppose 0 = 2*v + 2 - a. Suppose 3*m + 0*m - 15 = 0. Solve m*n - v*u + u = 16, 3*n + u = 16 for n. 4 Let t be (-28)/(-6) - (-6)/(-9). Suppose 4*j = 3*v + 31, -10*j + 13*j + v = 7. Solve -j*g - 3*l + 1 = -2*l, -2*g + t*l = 22 for g. -1 Let s be 41/10 + (54/(-60))/9. Solve 0*y - 8 = -y + 3*a, 0 = -2*y + 3*a + s for y. -4 Let a(g) = 2*g**3 - 3*g**2 - 2*g - 7. Let s be a(3). Let n be (-5*2/(-5))/(2/25). Solve -n = -5*i - 5*j, -4*j + s = -2*i + 3*i for i. 2 Let f(o) = -5*o + 12. Let y be f(3). Let l be y/(-2) + 4/8. Solve -d + 4*w + l = 24, d + w = 3 for d. -2 Let d be 3 - 3/(-6)*-4 - -1. Solve 0 = -4*s + 3*s + d*i + 5, -5*s - 5 = 5*i for s. 1 Suppose 138*j - 50 = 128*j. Solve -4*b - 7 = j*k, 2*k - 2*b - 2 = 4*k for k. -3 Let y = 2 + -7. Let c(h) = -h**2 - 7*h - 6. Let t be c(y). Solve -4*j - d + 10 = j, -2*j = d - t for j. 2 Let v = -71 + 74. Solve -14 = -2*m - 4*u, v*u - 5 = -2 for m. 5 Suppose -1674*r + 4 = -1670*r. Solve -x - r = u, 0*x - 18 = 2*u - 2*x for u. -5 Suppose 3*u + 4*s - 18 = -60, 0 = -u - 4*s - 22. Let x = -19 - -31. Let d be (-25)/15*x/u. Solve -3*q + 8 = -4*m, 3*m = q - d*q - 19 for m. -5 Suppose z + 21 = i, i + 2*z - 5*z = 31. Suppose 0 = 4*c + i, 2*t = 5*c - 4 + 28. Solve -u + 13 = -2*a - 2*a, 20 = -t*a - 4*u for a. -4 Suppose -20 = -f - 4*y, 12*y - 14*y + 4 = -f. Solve -f*k + k + 3*x + 6 = 0, -2*x = k - 5 for k. 3 Let n = -199 + 204. Solve -5*p + p - 32 = -5*v, 0 = -2*v - n*p - 7 for v. 4 Let i = -54 - -67. Suppose 0 = 4*t - i + 9. Solve -g - t = -2*c - 3, -3*c - 2 = -2*g for g. -2 Let n(l) = -l**2 + 4*l + 3. Let u = 10 - 6. Let h be n(u). Let g = -1022 - -1043. Solve 5*w + 4*j = -g, w + h*w - 12 = 4*j for w. -1 Let w be 4 - (-5 + (-8)/(-2)). Solve 8 = -q - q - w*o, q - 5*o - 11 = 0 for q. 1 Let v be (-8 - -7)*1*-17 - 6. Solve -p + v = 3*o, 0*p + 4*o = -5*p for p. -4 Let l(t) = -t**3 - 13*t**2 + 16*t + 28. Let z be l(-14). Solve -5*r + 2*a - 12 = z, 2*r - 7
{ "pile_set_name": "DM Mathematics" }
a: 4, k: 1, g: 3, r: 5, z: 6}? 2/19 Three letters picked without replacement from iivviiddid. Give prob of picking 2 i and 1 v. 1/6 Four letters picked without replacement from {b: 7, c: 9}. Give prob of picking 3 c and 1 b. 21/65 What is prob of picking 3 x when three letters picked without replacement from xxxxxxbbbxbbxx? 3/13 Two letters picked without replacement from {h: 1, l: 2, m: 2, f: 2, t: 1}. Give prob of picking 1 m and 1 h. 1/14 Three letters picked without replacement from wffffcssffdcslffcf. Give prob of picking 1 f, 1 c, and 1 l. 9/272 What is prob of picking 2 j and 1 x when three letters picked without replacement from {x: 2, t: 5, y: 8, j: 3, b: 1}? 2/323 Calculate prob of picking 1 r and 3 j when four letters picked without replacement from rjjrjjrrjr. 5/21 Four letters picked without replacement from niiinininiiin. What is prob of picking 1 i and 3 n? 16/143 What is prob of picking 1 r, 1 l, 1 y, and 1 d when four letters picked without replacement from yryrrgrlsrrrgrd? 16/1365 Calculate prob of picking 3 i when three letters picked without replacement from iwiwwiii. 5/28 What is prob of picking 2 y when two letters picked without replacement from {y: 3}? 1 Calculate prob of picking 2 o and 1 g when three letters picked without replacement from {g: 6, z: 4, o: 2}. 3/110 Calculate prob of picking 2 f and 2 y when four letters picked without replacement from yfffffyqyyyyfff. 4/13 Calculate prob of picking 3 f when three letters picked without replacement from ffffff. 1 Calculate prob of picking 1 u and 1 c when two letters picked without replacement from oundooc. 1/21 Two letters picked without replacement from sqtittvvtijvtttt. Give prob of picking 2 v. 1/40 Two letters picked without replacement from {r: 1, x: 1, s: 3}. Give prob of picking 1 x and 1 r. 1/10 What is prob of picking 1 j and 2 s when three letters picked without replacement from cwjsjjssjjycjc? 9/182 What is prob of picking 1 a and 1 e when two letters picked without replacement from {v: 14, a: 1, e: 2}? 1/68 Calculate prob of picking 2 g when two letters picked without replacement from iiggpqd. 1/21 Calculate prob of picking 2 w, 1 f, and 1 u when four letters picked without replacement from {f: 5, w: 2, u: 8}. 8/273 What is prob of picking 1 p and 1 t when two letters picked without replacement from {t: 3, p: 1, z: 4, d: 1, q: 2, o: 4}? 1/35 Calculate prob of picking 1 q, 2 f, and 1 z when four letters picked without replacement from {f: 2, j: 1, z: 3, n: 2, c: 2, q: 2}. 2/165 Calculate prob of picking 1 d and 2 j when three letters picked without replacement from joowdfj. 1/35 Two letters picked without replacement from {e: 1, p: 2, z: 1, y: 1}. Give prob of picking 1 y and 1 z. 1/10 Three letters picked without replacement from {a: 1, o: 2, w: 2, d: 2, n: 4, l: 1}. Give prob of picking 2 o and 1 n. 1/55 What is prob of picking 2 g and 1 r when three letters picked without replacement from rggur? 1/5 Four letters picked without replacement from djfvmjjjd. What is prob of picking 4 j? 1/126 Two letters picked without replacement from saassa. What is prob of picking 1 a and 1 s? 3/5 Calculate prob of picking 1 y, 1 j, and 1 i when three letters picked without replacement from {j: 1, b: 3, k: 2, f: 1, i: 8, y: 2}. 2/85 What is prob of picking 2 a when two letters picked without replacement from pnaaa? 3/10 What is prob of picking 1 y and 2 l when three letters picked without replacement from ykklllklylkkkyl? 9/91 Calculate prob of picking 2 g and 1 h when three letters picked without replacement from {h: 7, g: 7}. 21/52 Three letters picked without replacement from {f: 4, y: 1, o: 3, b: 1, w: 4, j: 2}. Give prob of picking 1 j, 1 w, and 1 f. 32/455 What is prob of picking 1 l and 1 i when two letters picked without replacement from {d: 1, i: 1, k: 1, l: 1, y: 2, f: 2}? 1/28 Four letters picked without replacement from zzzooollz. What is prob of picking 3 o and 1 z? 2/63 Three letters picked without replacement from {e: 6, p: 13}. What is prob of picking 3 e? 20/969 Four letters picked without replacement from {c: 1, k: 3, n: 5, q: 1}. Give prob of picking 1 n, 1 c, and 2 k. 1/14 What is prob of picking 1 o and 2 c when three letters picked without replacement from {c: 8, p: 1, x: 5, o: 5}? 140/969 Two letters picked without replacement from hobbhbxbbxohybbxoby. What is prob of picking 1 x and 1 b? 8/57 Calculate prob of picking 1 y and 1 g when two letters picked without replacement from gygy. 2/3 Calculate prob of picking 1 c and 3 f when four letters picked without replacement from {c: 6, p: 2, f: 5}. 12/143 Calculate prob of picking 4 l when four letters picked without replacement from ljjjn. 0 Four letters picked without replacement from pvvnvqqpvnnnvpnqv. What is prob of picking 4 v? 3/476 Two letters picked without replacement from qgogq. What is prob of picking 1 o and 1 g? 1/5 What is prob of picking 1 v and 1 c when two letters picked without replacement from vfffvhzcvvcz? 4/33 What is prob of picking 2 f when two letters picked without replacement from {f: 4}? 1 Two letters picked without replacement from {l: 1, d: 1, n: 1}. Give prob of picking 1 n and 1 l. 1/3 Calculate prob of picking 2 j and 1 l when three letters picked without replacement from tltjljjjlllllj. 5/26 Four letters picked without replacement from {g: 1, e: 2, k: 4, l: 3, b: 4}. Give prob of picking 1 g, 1 l, and 2 b. 18/1001 Calculate prob of picking 2 l and 1 k when three letters picked without replacement from tllztzkzz. 1/84 Four letters picked without replacement from ssssmmmsmmmmssmsssms. What is prob of picking 4 s? 22/323 What is prob of picking 3 k and 1 n when four letters picked without replacement from {n: 2, k: 16}? 56/153 Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {p: 1, l: 2, t: 6, q: 2, v: 1}. 1/11 Three letters picked without replacement from {a: 6, x: 1, t: 1, e: 1, b: 1, y: 6}. What is prob of picking 1 a, 1 b, and 1 x? 3/280 What is prob of picking 1 w and 1 n when two letters picked without replacement from {n: 1, w: 2, d: 1, v: 10}? 2/91 Calculate prob of picking 1 k, 1 f, and 1 m when three letters picked without replacement from {c: 1, f: 1, m: 2, k: 1}. 1/5 Calculate prob of picking 3 h when three letters picked without replacement from {h: 5}. 1 What is prob of picking 4 z when four letters picked without replacement from {z: 11, y: 2, o: 2}? 22/91 What is prob of picking 1 w and 1 e when two letters picked without replacement from {r: 2, w: 4, e: 3}? 1/3 What is prob of picking 2 v when two letters picked without replacement from svbsbsssvpfspbtsstsb? 1/190 Two letters picked without replacement from fkfkfpsfkkbf. What is prob of picking 1 b and 1 k? 2/33 Calculate prob of picking 1 e, 1 l, and 1 t when three letters picked without replacement from lcrvtvlet. 1/21 Two letters picked without replacement from vqgvqeal. What is prob of picking 1 a and 1 l? 1/28 What is prob of picking 1 i and 1 w when two letters picked without replacement from owwowwii? 2/7 Calculate prob of picking 2 d when two letters picked without replacement from {k: 2, y: 1, g: 2, d: 2, e: 1, q: 1}. 1/36 Four letters picked without replacement from khkkkkhkkhhkkkkkkkkk. What is prob of picking 2 k and 2 h? 48/323 Three letters picked without replacement from {f: 5, n: 5}. Give prob of picking 1 f and 2 n. 5/12 Calculate prob of picking 1 i, 1 x, and 1 v when three letters picked without replacement from {i: 2, x: 1, e: 4, v: 2}. 1/21 Two letters picked without replacement from cczcccccczcccccccc. Give prob of picking 2 c. 40/51 Calculate prob of picking 1 n and 2 r when three letters picked without replacement from nnnnnryyrnryrrrnnynn. 5/38 Three letters picked without replacement from qiiifiiii. Give prob of picking 3 i. 5/12 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from arafaaafzarzr. 2/13 Calculate prob of picking 1 o, 1 r, and 2 m when four letters picked without replacement from {r: 3, k: 1, o: 2, m: 10}. 27/182 Calculate prob of picking 3 i when three letters picked without replacement from eiiekikfffefeffifi. 5/408 What is prob of picking 2 g and 2 c when four letters picked without repl
{ "pile_set_name": "DM Mathematics" }
300*i**3 Let o(z) be the second derivative of -z**6/10 - 5*z**3/2 + 8*z. Find the second derivative of o(w) wrt w. -36*w**2 Let c(j) be the third derivative of j**6/360 + j**4/12 - 2*j**3/3 + j**2. Let w(a) be the first derivative of c(a). Differentiate w(g) wrt g. 2*g Let v(l) = 3*l**3 - 2*l**2 - 2*l + 11. Let w(o) = -2*o**3 + 3*o**2 + 3*o - 12. Let j(b) = 3*v(b) + 2*w(b). Differentiate j(h) with respect to h. 15*h**2 Differentiate 47 - 5*i**2 + 12*i**2 - 56 with respect to i. 14*i Let s = 12 + -9. Find the first derivative of 4*y**3 + 9 - y**3 + 4*y**s wrt y. 21*y**2 Let z = 11 - 8. What is the second derivative of -4*o**z - 3*o + 8*o**3 - o**3 wrt o? 18*o Let d = 6 - 1. Find the second derivative of -22*k**4 + 28*k**4 + d*k - 4*k wrt k. 72*k**2 Let p(d) be the first derivative of -d**4 - 7*d**3/3 - 16. Find the third derivative of p(i) wrt i. -24 Let r(f) = -f**3 + 0*f + 0*f + 2 - 8*f**2. Let v be r(-8). What is the first derivative of -1 - 2 + p**v + 4 wrt p? 2*p Suppose 0*s + 12 = 4*s. Let z = -5 + 7. Find the first derivative of 2 + 2*i**z - 2 + 0 - s wrt i. 4*i Let o = 0 - -4. Suppose 12 = 3*q, 4*l + 4 = 5*q - 0. Find the first derivative of 2 + 3*u**4 - u**l - u**o wrt u. 4*u**3 Let n(t) be the first derivative of -t**8/336 - t**5/15 + 7*t**2/2 + 4. Let l(i) be the second derivative of n(i). Find the third derivative of l(o) wrt o. -60*o**2 Let f(u) be the third derivative of -23*u**7/210 + 31*u**5/60 + 23*u**2. What is the third derivative of f(j) wrt j? -552*j Let b(t) = 7*t**4 - 4*t**3 + 4*t**2 - 4*t - 6. Let q(c) = -8*c**4 + 3*c**3 - 3*c**2 + 3*c + 7. Let d(u) = 3*b(u) + 4*q(u). What is the derivative of d(s) wrt s? -44*s**3 Let q(r) = -5*r - 12. Let c = 9 + -13. Let j(h) = -11*h - 23. Let d(v) = c*j(v) + 7*q(v). Find the first derivative of d(n) wrt n. 9 Let r be (0 - -1 - -2) + 1. Let b(p) be the first derivative of 0 - r*p + 2 + p**2 + 5*p. Differentiate b(h) with respect to h. 2 Let m(a) = 9*a**4 + 9*a**2 + 4*a + 4. Let u(s) = -26*s**4 - 27*s**2 - 11*s - 11. Let h(p) = -11*m(p) - 4*u(p). Find the third derivative of h(g) wrt g. 120*g Let l(p) = -8*p**2 + 6*p + 7. Let s(i) = -3*i**2 + 2*i + 2. Let j(a) = -2*l(a) + 7*s(a). Find the second derivative of j(f) wrt f. -10 What is the second derivative of 66*v**2 + 7*v - 66*v**2 + 5*v**4 wrt v? 60*v**2 Let j = 2 - -3. Suppose j*l - 4 = l. What is the second derivative of -l + 4*i - i**2 + 5 - 4 wrt i? -2 Let l(v) be the second derivative of 4*v**5/5 + v**4/4 + 7*v**3/2 + 4*v + 6. What is the second derivative of l(g) wrt g? 96*g + 6 Suppose -b + 4*v = -3*b, 1 = 2*b + 3*v. Suppose 3*a + 3*x - 15 = 0, -3*a = 2*x - b - 14. Find the third derivative of 6*u + 2*u**a - 6*u + u**2 wrt u. 240*u**3 Let o(f) be the second derivative of f**10/30240 - f**6/720 + f**4/4 + 2*f. Let a(z) be the third derivative of o(z). Find the second derivative of a(g) wrt g. 20*g**3 What is the first derivative of -21*j + 76 - 25*j - 26 wrt j? -46 Let d = 43 + -40. Let c = -4 - -7. What is the second derivative of 0*u**c - u - 5*u**d + 2*u**3 wrt u? -18*u Let d(q) = -2*q**2 + 9*q + 8. Let j be d(5). Let a(n) be the second derivative of 0 - 1/2*n**2 - 3*n + 1/6*n**j. What is the first derivative of a(h) wrt h? 1 Suppose -a + 3 = -0*a. What is the second derivative of -2*z**4 + z**4 + a*z**4 - 5*z wrt z? 24*z**2 Let s(k) = -k**2 - k + 2. Let w be s(0). What is the third derivative of -3*q**2 - q**6 + 0*q**w + 3*q**6 wrt q? 240*q**3 What is the second derivative of 10*a + 2*a**5 - 2*a - 2*a wrt a? 40*a**3 Let n(s) = -s**2 + 6*s - 6. Let h be n(4). Suppose 4*m - 10 = -h. What is the first derivative of 2 - 2 - m - 2*a wrt a? -2 Let f be ((-8)/(-14))/(4/14). Find the second derivative of -15*b**2 + 0*b - 3*b + 15*b**f - 4*b**5 wrt b. -80*b**3 Let n(q) be the third derivative of -3*q**6/40 - q**5/20 - 11*q**2. What is the third derivative of n(x) wrt x? -54 Let m be (-14)/(-49) + (-33)/(-7). What is the first derivative of -6*i**2 - 2 - m*i + 2*i + 3*i wrt i? -12*i What is the second derivative of 3*h**5 - 3*h**5 + 4*h**5 - h + 5*h**5 wrt h? 180*h**3 Let h(k) be the third derivative of 43*k**5/60 + 4*k**3/3 + 29*k**2. Find the first derivative of h(g) wrt g. 86*g Let f(m) be the first derivative of 2*m**3/3 - 15*m - 2. What is the first derivative of f(k) wrt k? 4*k Let k be -1*(2 + -1)*-3. Suppose 0 = l - 4*n - 5 + 2, 0 = 3*l - k*n - 9. What is the second derivative of -3*x + 2*x - x + 2*x**l wrt x? 12*x Let c(z) be the second derivative of -9*z**5/20 - 5*z**3/3 - 3*z. What is the second derivative of c(a) wrt a? -54*a Let z(i) be the third derivative of -i**2 + 0 + 0*i + 0*i**5 + 0*i**3 + 1/60*i**6 + 1/6*i**4. Find the second derivative of z(q) wrt q. 12*q Let j(u) be the third derivative of -u**8/840 - u**5/40 + u**3/6 + 3*u**2. Let v(h) be the first derivative of j(h). Find the second derivative of v(x) wrt x. -24*x**2 Let n be (-6)/(-21) + (-60)/(-35). Find the second derivative of 4*j + 0*j + j - 3*j**2 - n*j wrt j. -6 Suppose -3*t + 22 + 20 = -3*a, -67 = -5*t + 4*a. Find the first derivative of -4 + 12*m**2 - t*m**2 + 2 wrt m. 2*m Let v = -7 - -11. What is the first derivative of -2 + 5*w**4 - 4*w**v - 3*w**4 + w**4 wrt w? -4*w**3 Find the third derivative of 5*d**2 + 3*d**5 + 2*d**2 - 3*d**2 wrt d. 180*d**2 Let g(f) be the second derivative of 5*f**7/42 + f**3/2 - 2*f. What is the second derivative of g(z) wrt z? 100*z**3 Suppose 0*s = -4*s + 8. Suppose 3*b - 25 = -f + 8*b, 18 = 2*f - s*b. What is the second derivative of -2*d**f - 4*d + 4*d**5 + 6*d wrt d? 40*d**3 Let q be 6/27 + (-183)/(-27). Let v = q - 4. What is the third derivative of -2*n**2 - 3*n**5 + v*n**5 + 2*n**5 wrt n? 120*n**2 Let y(s) be the second derivative of 4*s + 0*s**2 - 1/4*s**4 + 0 + 1/20*s**5 + 0*s**3. Find the third derivative of y(v) wrt v. 6 Let t(r) be the first derivative of 0*r + 0*r**3 + 1/2*r**2 + 1/3*r**6 + 1 + 0*r**5 + 0*r**4. Find the second derivative of t(w) wrt w. 40*w**3 Let r(x) be the second derivative of x**7/6 - x**3/2 - x. What is the second derivative of r(l) wrt l? 140*l**3 Suppose -18 = -5*p + 2*p. Let r be (6*(-4)/p)/(-1). Differentiate -b**r + b**4 + b**4 - 2 with respect to b. 4*b**3 Let f = 10 + -6. What is the first derivative of m**4 + 4 - 7*m**4 + m**f wrt m? -20*m**3 Let g(r) be the first derivative of -4*r**5 + 40*r - 49. What is the first derivative of g(h) wrt h? -80*h**3 Let u(d) = -d**2 - 6*d - 1. Let h be u(-3). Suppose 0 = -3*w - w + h. Find the second derivative of -o - w*o**5 - o**5 - 2*o wrt o. -60*o**3 What is the first derivative of 3*p + 14 - 3*p - 12 + p wrt p? 1 Differentiate 129 - 61 + 46*p**4 - 49 with respect to p. 184*p**3 Let n be 4/(4/3) - 1. Let p(b) be the second derivative of 0*b**4 + 2/3*b**3 - 1/5*b**5 - 3*b + 0 + 0*b**n. Find the second derivative of p(o) wrt o. -24*o Let v(w) be the second derivative of -w**7/6 + w**3/2 + 7*w. What is the second derivative of v(u) wrt u? -140*u**3 Suppose 4*p + 0 = 4. Let r(w) = -w + 1. Let c(j) = -10*j + 3. Let u(t) = p*c(t) - 6*r(t). Let x(n) = -n. Let o(i) = -u(i) + 3*x(i). Differentiate o(a) wrt a. 1 Differentiate 36*l + 5*l**2 + 40*l - 6 - 76*l wrt l. 10*l Let z(o) = -18*o**3 - 5*o**2 - 5*o - 3. Let f(r) = 9*r**3 + 3*r**2 + 3*r + 1. Let t(c) = 5*f(c) + 3*z(c). What is the derivative of t(q) wrt q? -27*q**2 Suppose -5*x = -2*x - 9. Find the second derivative of x*u + 6 - 6 + u**4 - 3*u**4 wrt u. -24*u**2 Let q(j) be the first derivative of j**6/30 + j**3/2 + 3*j - 1. Let k(u) be the first derivative of q(u). What is the second derivative of k(l) wrt l? 12*l**2 Let w = 84 + -5. What is the third derivative of -7*c**2 + w*c**3 - 79*c**3 - 3*c**6 wrt c? -360*c**3 Let v(m) = -8*m**5 - 5*m**3 - 2*m**2 - 5*m. Let i(a) = -a**5 - a**3 + a**2 - a. Let c(y) = 5*i(y) - v(y). What is the third derivative of c(p) wrt p? 180*p**2 Let h(m) = -8*m**2 + 4*m - 5. Let k(s) = 9*s**2 - 5*s + 6. Suppose -3*r - 5 = 13. Let g(p) = r*h(p) - 5*k(p). Find the second derivative of g(c) wrt c. 6 What is the derivative of -13*f**2 - 11*f**2 + 3 + 22*f**2 wrt f? -4*f Let o(s) = -20*s**3 - 4*s**2 - 17*s + 6. Let q(x) = -20*x**3 - 3*x**2 - 16*x + 5. Let n(c) = -5*o(c) + 6*q(c). What is the third derivative of n(h) wrt h? -120 Let h(f) be the second derivative of -f**8/1
{ "pile_set_name": "DM Mathematics" }
+ 874770 - 14*t + t. -16*t**2 Collect the terms in -2*w**2 - 3582587979518802*w + 3582587979518802*w. -2*w**2 Collect the terms in -1437*q**3 + 23 - 27 + 2 + 1387*q**3 + 2. -50*q**3 Collect the terms in -34196*y**2 - 549 + 549 + 34199*y**2. 3*y**2 Collect the terms in 5497*y - 19456*y - 2410*y - 21455*y. -37824*y Collect the terms in 46*l**3 - 9*l - 5*l + 19*l - 93*l**3 + 21*l**3 - 6*l. -26*l**3 - l Collect the terms in -63*n - 62*n - 60*n**3 + 3*n**2 - 58*n + 187*n - n**2. -60*n**3 + 2*n**2 + 4*n Collect the terms in -978*r - 1785*r - 1476*r - 2057*r + 108*r. -6188*r Collect the terms in -1148 + 14037*t + 286 + 293 + 284 + 285. 14037*t Collect the terms in 27*v**2 - 13*v**2 - 122*v**2 + 25*v**2 + 36*v**2 + 34*v**2. -13*v**2 Collect the terms in 870*i**2 - 1755*i**2 + 885*i**2 - 8347*i**3. -8347*i**3 Collect the terms in 51*z**3 - 21*z**3 - 381*z**3 + 108*z**3. -243*z**3 Collect the terms in -94653 + 189670 - 2*q + 5*q**2 - 95017 + 2*q. 5*q**2 Collect the terms in -437*n - 7742*n - 2634*n - 777*n. -11590*n Collect the terms in 5710*x**2 + 4297*x**2 + 5424*x**2 - 1 - 17700*x**2 + 1. -2269*x**2 Collect the terms in 8186 + 2*h + 4778 - 21152 + 3*h**3 + 8188 - 2*h. 3*h**3 Collect the terms in -54522*u**2 + 31519*u**2 + 26521*u**2. 3518*u**2 Collect the terms in 53*p + 6*p - 17*p - 30*p - p. 11*p Collect the terms in -33 - 655*q - 51*q - 67 + 154 - 54. -706*q Collect the terms in m**2 - 11684*m + 24903*m - 13184*m. m**2 + 35*m Collect the terms in -270*c - 1 + 43 + 19. -270*c + 61 Collect the terms in 607 + 75 + 202*j - 81*j - 104*j + 44. 17*j + 726 Collect the terms in -2*j**3 - 449582115048 + 449582115048. -2*j**3 Collect the terms in -48 - 40773*s + 94 - 49 - 68424*s - 22957*s. -132154*s - 3 Collect the terms in -3*r**2 + 6*r**2 - 8 - 13*r**2 + 3*r**2 + 2*r**2 + 4*r. -5*r**2 + 4*r - 8 Collect the terms in -4*i**2 - 37476904566958 + 37476904566958. -4*i**2 Collect the terms in 0*l - 1457 + 0*l + 3193 - 1736 - 28*l**2. -28*l**2 Collect the terms in -10*j**2 + 27*j**2 + 435*j**3 + 2 - 17*j**2 - 547*j**3. -112*j**3 + 2 Collect the terms in w + w + 129*w**2 - 2*w + 131710 - 131710. 129*w**2 Collect the terms in 471*m - 471*m - 22358*m**3 - 8721*m**3 + 8776*m**3. -22303*m**3 Collect the terms in 176*n**2 - 915*n**2 + 394*n**2 + 162*n**2 + 180*n**2. -3*n**2 Collect the terms in 97556 - 58*q**2 - 195121 + 97564. -58*q**2 - 1 Collect the terms in 27 + 39*r**2 + 14*r + 497*r - 27. 39*r**2 + 511*r Collect the terms in -227*o - 490*o - 20*o**2 + 45*o**2 - 26*o**2 - 1052*o. -o**2 - 1769*o Collect the terms in -93825*a**2 - 119588*a**2 + 81971*a**2. -131442*a**2 Collect the terms in 64*i - 126*i - 2516*i**2 + 2489*i**2 + 62*i. -27*i**2 Collect the terms in 1224*x**2 + 10 - 1228*x**2 + 9 - 6. -4*x**2 + 13 Collect the terms in 49522*y + 52072*y - 101586*y. 8*y Collect the terms in 156946900883 - 156946900883 + r**3. r**3 Collect the terms in -3*t**2 + 8222 - 5105 - 3117. -3*t**2 Collect the terms in 716*u**2 + 879*u**2 - 1507*u**2. 88*u**2 Collect the terms in -2371*m + 1626*m - 3940*m. -4685*m Collect the terms in 10552169*o**3 + 5 - 10551937*o**3 - 5. 232*o**3 Collect the terms in -23 + 64 + k - 4*k + 25 + 303. -3*k + 369 Collect the terms in 47831*r**3 - 17756*r**3 + 20509*r**3 + 8138*r**3. 58722*r**3 Collect the terms in -9 - 19 - 200*m + 4 + 9 - 20. -200*m - 35 Collect the terms in -933*c**2 + 13*c + 1657*c**2 - 723*c**2 + 3*c. c**2 + 16*c Collect the terms in -6600*s**3 + 25576*s**3 + 12609*s + 14805*s**3 - 12609*s. 33781*s**3 Collect the terms in 4991 - 9771 + 77*c - 210 + 4990. 77*c Collect the terms in 3 - 21*h - 3*h**2 - 28*h + 49*h + 3*h**2 - 17*h**2. -17*h**2 + 3 Collect the terms in 17*u + 389*u**2 - 96*u**2 - 4478 - 17*u + 4478. 293*u**2 Collect the terms in -19202078*j**2 + 843 - 843 + 19202084*j**2. 6*j**2 Collect the terms in -28704*k**3 - 28696*k**3 + 57464*k**3. 64*k**3 Collect the terms in 7496*b**2 + 7479*b**2 + 7530*b**2 - 22374*b**2. 131*b**2 Collect the terms in 359040*r**2 + 821202*r**2 + 1688250*r**2. 2868492*r**2 Collect the terms in 11 - 85*f - 97*f - 135*f. -317*f + 11 Collect the terms in 2317*i**2 - 6589*i**2 + 4244*i**2. -28*i**2 Collect the terms in 2602*l + 3237*l - 1248*l - 1384*l + 2463*l. 5670*l Collect the terms in 396*i**2 + 887*i**2 - 256*i**2 + 481*i**2 - 239*i**2. 1269*i**2 Collect the terms in -246*o + 246*o + 1077*o**2 - 3499*o**2. -2422*o**2 Collect the terms in 258482857639*b - b**3 - b**3 + 6*b**3 - 258482857639*b. 4*b**3 Collect the terms in -1207*a**2 - 2*a + 1698*a**3 + 2404*a**2 - 1198*a**2. 1698*a**3 - a**2 - 2*a Collect the terms in b**2 + 4887925*b**3 - 11*b**2 - 4887938*b**3 - 8*b. -13*b**3 - 10*b**2 - 8*b Collect the terms in -1 + 1 - 2879*k - 2247*k. -5126*k Collect the terms in -x**2 + 1954631*x - 2*x**2 - 651549*x - x**2 - 651545*x - 651537*x. -4*x**2 Collect the terms in 113*r - 180*r + 34*r + 35*r + 114 - 228 + 114. 2*r Collect the terms in -13789*u**2 - 36282*u**2 + 78242*u**2 + 79962*u**2. 108133*u**2 Collect the terms in -24*h + 50*h - 4 - 12*h. 14*h - 4 Collect the terms in -1 - 16326*t + 32650*t - 16319*t - 3 + 1. 5*t - 3 Collect the terms in 347338*z - 347338*z + 9*z**2. 9*z**2 Collect the terms in -u**3 - 2*u**3 + 537800503*u**2 - 537800508*u**2. -3*u**3 - 5*u**2 Collect the terms in 13820*l**3 - 113*l**3 - 227*l**3. 13480*l**3 Collect the terms in -10909720*k**2 - 10909147*k**2 + 21818864*k**2. -3*k**2 Collect the terms in 0*l + l - 18980 + 0*l - 196565. l - 215545 Collect the terms in 12531*v**3 + 2*v**2 + 12487*v**3 - 2*v**2 - 25014*v**3. 4*v**3 Collect the terms in 852*o**3 - 2 - 1707*o**3 - 4 + 6 + 845*o**3 - 19*o. -10*o**3 - 19*o Collect the terms in 29 - 34*p - 11 + 46*p + 8 + 17*p**2. 17*p**2 + 12*p + 26 Collect the terms in -52*k - 218*k + 387*k - 80*k. 37*k Collect the terms in 23772404 - 23772404 - 19*b. -19*b Collect the terms in -518088686*n**2 + 518088636*n**2 + 5 - 5. -50*n**2 Collect the terms in -126438*m + 63266*m + 63133*m. -39*m Collect the terms in 8 - 8 - 4 + 2581*s**3 + 4 - 2899*s**3. -318*s**3 Collect the terms in -15 - 69*j + 24 + 38 + 67*j. -2*j + 47 Collect the terms in 134424*d**2 - 47284*d**2 - 87126*d**2. 14*d**2 Collect the terms in -3135543*z + 6271015*z - 3135470*z. 2*z Collect the terms in -128*r**3 + 2185374 - 2185374 + 64*r**3 + 65*r**3. r**3 Collect the terms in -f**3 - 5*f**3 + 4*f**3 - 7 + 22 + 21*f. -2*f**3 + 21*f + 15 Collect the terms in 0*w + 22146*w**3 + 8*w - 11101*w**3 + w - 10949*w**3. 96*w**3 + 9*w Collect the terms in 54 + 50 + 131*m - 174*m. -43*m + 104 Collect the terms in -2448*j**2 + 4944*j**2 - 2492*j**2. 4*j**2 Collect the terms in -389 - 402 - 1624*t**3 + 791. -1624*t**3 Collect the terms in 20115 - 39708 + 19588 + 37*g - g. 36*g - 5 Collect the terms in 4436*y**2 + 4439*y**2 - 8876*y**2 + 1199 - 6*y**3. -6*y**3 - y**2 + 1199 Collect the terms in -172609*m**2 + 3891*m**2 - 281098*m**2 - 226540*m**2. -676356*m**2 Collect the terms in -157 + 93464*b - b**2 + 93470*b - 186934*b. -b**2 - 157 Collect the terms in -5288 + 5284 - 8660*p - 20410*p - 17475*p. -46545*p - 4 Collect the terms in -87351373*u + 1565*u**3 + 87351373*u - 1566*u**3. -u**3 Collect the terms in -1278095773719*h + 222*h**2 + 1278095773719*h. 222*h**2 Collect the terms in 141068*n**2 - 141068*n**2 + 58836*n**3. 58836*n**3 Collect the terms in -190701*o + 95368*o + 95315*o. -18*o Collect the terms in 5 + 2461*i**2 - 5174*i**2 - 5 + 61*i**3 + 2713*i**2. 61*i**3 Collect the terms in -1782*k**3 - 1803*k**3 - 1793*k**3 - k**2 + 5281*k**3 + k**2. -97*k**3 Collect the terms in -109 + 27 + 28 + 444*t**2 - 34*t + 29 + 27. 444*t**2 - 34*t + 2 Collect the terms in -7 + 1 - 2141*r + 16 - 10. -2141*r Collect the terms in j**3 + 114673 - 4*j**3 + 7*j**3 - 2*j**3. 2*j**3 + 114673 Collect the terms in 16*v - 6125*v**3 + 6161*v**3 - 9*v - 9*v. 36*v**3 - 2*v Collect the terms in 630*u + 488*u - 185*u - 183*u + 412*u + 61*u. 1223*u Collect the terms in 2*a + 991140 - 1982340 + 991143 - 3*a. -a - 57 Collect the terms in -15 - 19*h - 37*h - 61*h + 42 + 21*h. -96*h + 27 Collect the terms in 153 + i - 78 - 562 + 179. i - 308 Collect the terms in 28982*s**2 - 86726*s**2 - 2*s + 2*s + 28779*s**2 + 28971*s**2. 6*s**2 Collect the terms in -39712*u - 18965*u + 14429*u. -44248*u Collect the terms in
{ "pile_set_name": "DM Mathematics" }
.5 (b) -13 (c) 1/7 (d) 13 c What is the closest to 0.1 in 0.3, 9, 2? 0.3 Which is the closest to 1/4? (a) -1 (b) -9 (c) 2/7 c What is the nearest to 6 in -2, -0.5, -2/11? -2/11 What is the nearest to 9/5 in -24, -2, -1, 4? 4 What is the nearest to -1/6 in -1/4, -1, 0.5? -1/4 Which is the closest to 2? (a) -0.63 (b) -0.18 (c) -0.3 b Which is the nearest to 5? (a) -3 (b) 4 (c) 17 b What is the closest to -69 in -0.2, 0, 2/13? -0.2 What is the closest to -2/7 in 11, -5, -0.2? -0.2 Which is the nearest to 1/3? (a) -3 (b) 0.3 (c) -4 (d) -1/3 b Which is the nearest to 3? (a) -2/19 (b) -0.4 (c) 2 (d) -0.5 c What is the nearest to 10/7 in 0.2, -0.5, 0.5, 0.3? 0.5 What is the closest to 2/7 in -0.3, -1/12, 6, 3/5? 3/5 What is the nearest to 0 in -2, -2/7, 47, 2.4? -2/7 Which is the nearest to 0.1? (a) 1 (b) 0.053 (c) 3 (d) 1/5 b What is the closest to -0.2 in 4/7, -2, -0.4, -713? -0.4 Which is the closest to 2? (a) -1.4 (b) -0.2 (c) 5/2 c Which is the nearest to 96? (a) 1/2 (b) -2/15 (c) 0.1 a What is the nearest to 6 in 1/3, -2, 14/17? 14/17 Which is the nearest to 1? (a) 5 (b) 3 (c) -49 (d) 0.4 d What is the nearest to -1/3 in 3.35, 1, 12? 1 What is the nearest to -2 in 0, 1, 3, 21/5? 0 What is the nearest to 1/4 in -1/7, 0.2, -3, -0.12? 0.2 What is the closest to 2 in 5, -0.4, 89/3, -0.2? -0.2 Which is the closest to 0.3? (a) -0.4 (b) -10 (c) 3 (d) -2/7 d Which is the nearest to -3? (a) 0.5 (b) -1/6 (c) 2 (d) 1/5 b What is the closest to -2/5 in 0.3, -0.8, 0.5, 0.1? -0.8 Which is the nearest to 0? (a) 5 (b) 0.09 (c) 0 (d) -6 c What is the closest to 0 in 2/13, -0.2, 2/7, 2? 2/13 What is the closest to 1 in -3, -2/21, 2/15? 2/15 Which is the closest to 6? (a) 1 (b) -1 (c) 9 (d) 7 d What is the closest to 9 in -2, -0.5, 2/13, 2/5? 2/5 Which is the closest to 100/19? (a) 2/9 (b) 3/8 (c) -4 b Which is the nearest to 0? (a) -16 (b) 2/11 (c) -1 (d) -1/2 b Which is the nearest to -3? (a) 1/7 (b) -2 (c) 3 (d) -0.4 b What is the closest to -0.5 in -2, 0.6, 2? 0.6 What is the closest to 2/5 in -0.2, -1/9, 0, -5? 0 What is the nearest to -2/23 in -4, 0.5, 2/3, 0? 0 What is the closest to -11 in -13, -2, 0.5? -13 Which is the nearest to -7? (a) -0.5 (b) -0.4 (c) -7 c Which is the nearest to 3/11? (a) 0 (b) -2 (c) 0.3 c Which is the nearest to 0.4? (a) -0.4 (b) 5 (c) -0.5 (d) -7 a What is the nearest to -0.2 in -3, 0, -10/3, -0.05? -0.05 Which is the closest to 0.2? (a) 5 (b) -2 (c) -3 (d) 2.7 b Which is the closest to 0? (a) -5 (b) 125 (c) 0.11 c Which is the closest to -1? (a) -0.031 (b) 0.13 (c) 2 a What is the nearest to 2/3 in 0.17, 1/3, 2/13, 0.1? 1/3 Which is the nearest to -1? (a) -2/7 (b) -32 (c) 1 a What is the nearest to -0.1 in 0.5, -0.5, 158, 2/17? 2/17 What is the closest to 2/55 in 0.4, 4/5, -1/3? 0.4 What is the nearest to -2.8 in -0.03, 3/5, -2? -2 What is the closest to -1 in 1/8, -16, 2/47? 2/47 What is the nearest to 0.1 in 0.0534, 0.2, -5, -0.4? 0.0534 What is the closest to -15 in 2/13, 0, 1/3? 0 What is the closest to -0.7 in -0.2, 2, -1, 0.4? -1 Which is the nearest to 4/3? (a) -4 (b) 1/3 (c) 2/11 b What is the nearest to 92 in -1, -4, -2/33? -2/33 What is the nearest to -0.7 in 4, -1/3, -2.4, -4/5? -4/5 Which is the closest to 1/2? (a) 163 (b) -4 (c) -5 b Which is the nearest to 0? (a) -0.2 (b) -6 (c) -0.5 (d) 0 d What is the closest to -3/8 in -5, -3, 0.4, -0.3? -0.3 Which is the closest to -36? (a) 0.5 (b) -4 (c) 2/19 b What is the closest to 0 in -0.2, 1/7, -1/2? 1/7 What is the nearest to 13/5 in 0, 2/3, -1/5? 2/3 Which is the closest to 5/2? (a) -0.5 (b) -4 (c) -0.4 (d) -2 c Which is the closest to -6? (a) -0.2 (b) -5 (c) 5 (d) -2/3 b What is the closest to -66 in 6, 1, -0.5? -0.5 What is the closest to 1055 in 1, 0.5, -0.3? 1 Which is the closest to -2/9? (a) 2.1 (b) 1/7 (c) 1 b What is the nearest to 0 in -3, 13, 2/5, -2/19? -2/19 What is the nearest to -2/5 in 2/7, 3/4, 5? 2/7 What is the closest to 0 in -3, 6/1945, 1/2? 6/1945 What is the closest to -1 in 6, 1/5, -2/9, -0.05? -2/9 Which is the nearest to -8? (a) -3 (b) -5 (c) -2 (d) -1 b What is the nearest to -3/2 in -1/6, 5, -3/5? -3/5 Which is the closest to -9? (a) 0.2 (b) 1/2 (c) -2/17 c Which is the closest to 0? (a) -1 (b) 0.08 (c) -3/5 (d) -7 b What is the closest to -4 in 3, -0.1, 2/5? -0.1 What is the nearest to 6 in -4, -20, -0.2, 4? 4 Which is the closest to -1? (a) 1/22 (b) 0.3 (c) -2/7 c Which is the closest to -1? (a) -4 (b) -2 (c) -3/4 (d) -2.34 c Which is the nearest to -1? (a) -1 (b) -1/2 (c) 9 (d) 2 a Which is the closest to -1? (a) -0.4 (b) 0.6 (c) 2 (d) 0.4 a Which is the closest to 0.04? (a) 2 (b) 0.5 (c) 0 c Which is the closest to -2.7? (a) 0.4 (b) 2 (c) -2 (d) -1/4 c Which is the nearest to 0? (a) -9 (b) 0 (c) 0.37 b What is the nearest to 0.2 in -41, -1/3, -2/5, -1/7? -1/7 What is the nearest to 0 in -2/73, 1, -0.04? -2/73 Which is the closest to -2/35? (a) 6 (b) -3/2 (c) -4 (d) 2/17 d Which is the closest to 1? (a) 5 (b) 0.5 (c) -171/2 b What is the closest to 0.1 in 3/7, 0.3, 2/9? 2/9 Which is the nearest to 1? (a) -7 (b) 5/2 (c) -4 b Which is the nearest to -1? (a) 2/5 (b) -0.4 (c) -1.4 c Which is the closest to -159? (a) -25 (b) -1/5 (c) -5 a Which is the closest to -0.5? (a) 0.2 (b) 5 (c) 0 (d) 2/3 c What is the nearest to 687 in 0.4, -0.1, -1? 0.4 What is the nearest to 0 in -4, -16/7, 1/5, 2? 1/5 What is the nearest to -0.1 in -3/13, -1/7, -0.3, -3? -1/7 Which is the nearest to -11? (a) -0.5 (b) 2 (c) -2 (d) 0.2 c What is the closest to 0.1 in 0, -3/4, 3/4, -5? 0 Which is the nearest to -12? (a) 3 (b) -4/7 (c) 1/18 b What is the closest to 5 in 58, 0.5, 4, 5? 5 Which is the nearest to 15? (a) 0.5 (b) 0.2 (c) -34 a What is the closest to 10/3 in 2/39, -0.1, -0.07? 2/39 What is the nearest to 0.1 in 34, -93, -2/7? -2/7 Which is the nearest to -8? (a) 0.05 (b) -3 (c) 2/7 b What is the nearest to 2/5 in 0.2, 2/5, -2, 2/9? 2/5 Which is the closest to -0.1? (a) 2/7 (b) 5 (c) -1/28 c What is the nearest to 0 in -5/2, -3/4, -2/11? -2/11 What is the nearest to 3 in -0.4, 5, -2, 0.5? 5 Which is the closest to -2? (a) 3/2 (b) 1/9 (c) -6 (d) -69 b Which is the nearest to 0? (a) -5/2 (b) -1 (c) 98 (d) -2/3 d What is the nearest to 0.1 in -1071/4, -5, 0.2? 0.2 What is the closest to -2/9 in 1, 4, -2/679, -4? -2/679 Which is the closest to -134? (a) 3 (b) -1 (c) -3 c Which is the closest to 0? (a) 44 (b) -1 (c) 2.1 b What is the nearest to 0 in 0.4, -4/3, 1, 12.2? 0.4 What is the nearest to -0.1 in 0, -1/6, 5/4? -1/6 Which is the closest to -0.1? (a) 0.1 (b) 1/5 (c) -21 a Which is the nearest to -2/3? (a) -3 (b) -0.439 (c) 1 (d) 3/7 b What is the closest to -112 in -1, -0.3, -0.1? -1 Which is the nearest to 34? (a) 6/5 (b) 1/9 (c) 0.1 (d) -4 a What is the closest to -172 in -1, 2, -0.3? -1 What is the nearest to 0.3 in -5, -0.1, 0.17, -3? 0.17 What is the closest to 1 in -3/5, -17/2, 2, 2/9? 2/9 Which is the nearest to 1? (a) 3/2 (b) -1 (c) 1/6 a What is the nearest to 16 in -4, 3, 9, -0.2? 9 Which is the nearest to 4? (a) 1/3 (b) 0.2 (c) 6/13 (d) 1 d What is the closest to -1 in 2/37, 4, -3, 0.1? 2/37 What is the closest to 37 in 5, -3, 2/7? 5 What is the nearest to -103 in -1/9, 2/53, 5/2? -1/9 Which is the closest to 0.1? (a) 1/4 (b) 14.79 (c) -4 a Which is the closest to 0? (a) -1 (b) -2/35 (c) -6/7 b What is the closest to 3/2 in 7.36, 0.2, 4, -0.5? 0.2 What is the closest to -2/7 in -2/141, -3/4, -1, -4? -2/141 Which is the closest to -0.1? (a) -3 (b) -1 (c) 2 (d) 1/7 d Which is the closest to -3/2? (a) 2/13 (b) -1/13 (c) -11 b What is the closest to 1 in -0.3, -117, 5? -0.3 What is the closest to 0 in -31/2, -1.1, -0.4? -0.4 Which is the closest to -1? (a) -2/19 (b) -7 (c) 13 (d) 0.4 a Which is the closest to -2/7? (a) 3/7 (b) 2 (c) -3 (d) 2/11 d Which is the nearest to 0.15? (a) 0.5 (b) 1 (c) 0.1 c Which is the nearest to -2? (a) -0.2 (b) -2 (c) 4 b What is the closest to 0.1 in 3, -0.2, 1/5, -2? 1/5 Which is the closest to -4/7? (a) -0.3 (b) 3 (c) 0.039 a Which is the closest to 3? (a) 5 (b) -0.08 (c) 2 c W
{ "pile_set_name": "DM Mathematics" }
of -r**6/24 + 19*r**5 - 1135*r**4/24 - 1852*r**2. Find i, given that y(i) = 0. 0, 1, 227 Find z such that 10*z**2 + z**2 - 67474 + 142*z + 67606 - 2*z**3 - 3*z**2 = 0. -6, -1, 11 Let -202/3*b + 40 + 59/3*b**2 - 4/3*b**3 = 0. What is b? 3/4, 4, 10 Let h(v) = -12*v**3 - v + 1. Let w(z) = 4*z**4 - 32*z**3 - 84*z**2 - 7*z + 83. Let o(i) = -3*h(i) + w(i). Solve o(k) = 0 for k. -5, -1, 1, 4 Solve 7/5*n**3 - 9/5*n**2 - 7/5*n + 8/5 + 1/5*n**4 = 0. -8, -1, 1 Let h(r) be the second derivative of r**7/126 - 4*r**6/45 - 17*r**5/30 + 128*r**4/9 - 565*r**3/6 + 300*r**2 + 9*r + 97. Let h(a) = 0. What is a? -8, 3, 5 Let b(g) be the first derivative of g**3/7 + 66*g**2/7 + 480*g/7 + 885. Factor b(r). 3*(r + 4)*(r + 40)/7 Let c = -2909383/7 - -415627. Let i = 0 - 0. Solve c*h**2 + i + 4/7*h - 10/7*h**3 = 0 for h. -2/5, 0, 1 Suppose 120*p - 9 = 117*p. Let q**3 - 680*q**5 + 678*q**5 - 4*q**4 - 3*q**p + 2*q**3 = 0. What is q? -2, 0 Let n be 16/12*6 - 3. Suppose 9 = 3*s + 2*m - 5, n*m = 5. Factor 8*r**3 + 5*r**2 - 6*r**2 + 3*r**2 - 4*r**3 + 2*r**s. 2*r**2*(r + 1)**2 Let a(l) = -3*l**4 - 26*l**3 + 92*l**2 + 54*l - 110. Let g(y) = -4*y**4 - 24*y**3 + 92*y**2 + 56*y - 112. Let t(b) = 8*a(b) - 7*g(b). Let t(s) = 0. Calculate s. -1, 1, 4, 6 Let o = 4283 + -4277. Let m(s) be the third derivative of -2/33*s**3 + 5/132*s**4 + 1/165*s**o + 0*s + 0 - 9*s**2 + 1/30*s**5. Factor m(a). 2*(a + 1)*(a + 2)*(4*a - 1)/11 Let q(a) = a**2 + 11*a - 100. Let s be q(-17). Factor 32*h**3 - 101*h**s + 96 - 152*h + 121*h**2 + h**4 + 3*h**4. 4*(h - 1)**2*(h + 4)*(h + 6) Let -2/3*r**4 + 180*r - 162 + 12*r**3 - 72*r**2 = 0. Calculate r. 3, 9 Let d be (-3)/(-4) - (-15)/(-4). Let r be 2 + (-1 + 1)*d/6. Factor -r*c**2 - 14 + 12 + 0*c - 3*c - c. -2*(c + 1)**2 Let r(u) = 11*u**2 + 17*u + 4. Let l be r(4). Suppose -43*z**4 - 93*z**4 + 64*z**2 + 260*z + 173*z**5 + 72 - 185*z**5 - l*z**3 = 0. Calculate z. -9, -2, -1, -1/3, 1 Let v(x) = x. Let g(b) = -2*b**3 - 2*b**2 + 16*b. Suppose 20 = -3*t - 52. Let u = -36 - t. Let n(y) = u*v(y) + g(y). Let n(i) = 0. What is i? -2, 0, 1 Let p(x) be the third derivative of -x**6/165 + 293*x**5/330 - 83*x**4/12 + 70*x**3/11 + 2*x**2 + 3114*x. Let p(w) = 0. What is w? 1/4, 3, 70 Let k(u) be the first derivative of u**6/6 + 92*u**5/5 + 741*u**4 + 37526*u**3/3 + 137083*u**2/2 + 146334*u + 717. Factor k(f). (f + 2)*(f + 3)*(f + 29)**3 Let f(g) = g**2 + 6*g - 13. Let l be f(-8). Let v = -80 - -80. Suppose -5*p + v*p**2 + 3*p**2 - 2*p**l + p**2 + 3*p = 0. Calculate p. 0, 1 Let n(b) = -b**3 + 24*b**2 + 40*b - 39. Let m(o) = -24*o**2 - 52*o + 44. Let k(d) = -3*m(d) - 4*n(d). Determine y so that k(y) = 0. -1, 1, 6 Let v(f) be the third derivative of f**5/330 + 161*f**4/66 + 25921*f**3/33 - 1669*f**2. Factor v(j). 2*(j + 161)**2/11 Let l(r) be the second derivative of -5*r**4/12 + 185*r**3/3 + 1975*r**2/2 - 260*r. Factor l(y). -5*(y - 79)*(y + 5) Let u(j) be the second derivative of 4*j**4/3 - 130*j**3/3 + 228*j**2 + 1176*j + 1. Factor u(h). 4*(h - 2)*(4*h - 57) Let p(i) = i**3 + i - 2. Let v(f) = 9*f**3 - 1068*f**2 + 6*f - 12. Let l(h) = 6*p(h) - v(h). Factor l(t). -3*t**2*(t - 356) Factor 0*z + 261/7*z**3 + 0 + 3/7*z**4 - 264/7*z**2. 3*z**2*(z - 1)*(z + 88)/7 Solve -447*z**2 + 17*z**3 + 12 + 2*z**4 + 43*z - 436*z**2 + 929*z**2 = 0 for z. -4, -3, -1, -1/2 Let n(g) = -2*g**5 - 78*g**4 - 88*g**3. Suppose 39 + 33 = -6*r. Let x(w) = w**5 + 31*w**4 + 35*w**3. Let h(s) = r*x(s) - 5*n(s). Factor h(c). -2*c**3*(c - 10)*(c + 1) Let t be 18 - (10 - 45/(-15)). Let p(n) be the third derivative of 0*n + 4/9*n**3 + 1/90*n**6 - 1/30*n**t - 14*n**2 + 0 + 1/315*n**7 - 1/9*n**4. Factor p(f). 2*(f - 1)**2*(f + 2)**2/3 Factor 30*b**2 + b**2 + 117*b + 101*b - 2*b**3 - 119*b**2 - 128*b**2. -2*b*(b - 1)*(b + 109) Let a(p) be the first derivative of p**3/5 - 45*p**2/2 - 462*p/5 - 4503. Factor a(i). 3*(i - 77)*(i + 2)/5 Suppose 2*c = -c + 15, 0 = 3*v + c - 143. Let d = v - 44. Factor 5*b**d - 20*b**4 + 15*b**4 - 4*b**3 + 10*b - 6*b**3. -5*b*(b - 1)*(b + 1)*(b + 2) Let i(q) = 3*q**3 + 350*q - 365*q + 0*q**4 + 3*q**2 + 6 - 3*q**4. Let y(p) = -3*p**4 + 4*p**3 + 2*p**2 - 14*p + 6. Let w(t) = 5*i(t) - 6*y(t). Factor w(f). 3*(f - 2)*(f - 1)**2*(f + 1) Let s(c) be the second derivative of c**6/120 - 29*c**5/16 - 147*c**4/16 - 443*c**3/24 - 37*c**2/2 + 2271*c. Factor s(r). (r - 148)*(r + 1)**3/4 Suppose 359475 = 106*c + 358945. Factor 52/7*o**3 + 2/7*o**c + 6*o - 10/7 - 68/7*o**2 - 18/7*o**4. 2*(o - 5)*(o - 1)**4/7 Let s(i) be the second derivative of -130/3*i**3 + 5/12*i**4 + 1690*i**2 + 2*i - 8. Let s(u) = 0. Calculate u. 26 Suppose -8*i = 12*i - 100. Determine k so that -i*k**2 + 14*k**2 - 3*k**2 - 2*k**3 - 8*k**2 = 0. -1, 0 Suppose -493*h - 1559*h + 4104 = 0. Factor 66/7*i**h - 24/7 - 64/7*i - 2*i**3. -2*(i - 3)*(i - 2)*(7*i + 2)/7 Suppose -3776 = 11*q - 9144. Factor -488 + q + 4*c**3 - 76*c**2. 4*c**2*(c - 19) Suppose -24 = -12*a - 0. Suppose q = -3*q + 4. Let v(c) = 6*c**3 + 12*c**2 + 8*c - 2. Let i(t) = -t**3 + 1. Let s(g) = a*i(g) + q*v(g). Factor s(r). 4*r*(r + 1)*(r + 2) Let l(m) be the first derivative of m**6/60 + 13*m**5/40 + 35*m**4/24 - 49*m**3/12 + 42*m - 55. Let b(g) be the first derivative of l(g). Factor b(o). o*(o - 1)*(o + 7)**2/2 Let k(w) = -5*w**2 - 10*w + 20. Suppose 4*i - 21 = -c, 30 = 2*c + 5*i + 3. Let a(b) = -1. Let h(n) = c*k(n) + 5*a(n). Determine x so that h(x) = 0. -3, 1 Find g such that 14645 - 7464 - 32392*g**2 - 732*g**4 - 27543*g**3 + 33852*g - 1159 - 4*g**5 + 27102 - 6305*g**3 = 0. -91, -1, 1 Let t(x) be the second derivative of 5*x**4/12 + 67*x**3/6 - 21*x**2 - 186*x - 2. Factor t(d). (d + 14)*(5*d - 3) Let r(t) = -13*t**2 - 302*t - 324. Let a(u) = -7*u**2 - 149*u - 162. Let f(y) = -7*a(y) + 4*r(y). Find g, given that f(g) = 0. -54, -1 Let f be -1*(-22)/((-1408)/(-16)). Suppose 0*a = -3*a. Determine o, given that a + o**2 - f*o - o**3 = 0. 0, 1/2 Let z(v) be the third derivative of v**5/12 + 3595*v**4/8 - 5395*v**3/3 + 48*v**2 + 5*v + 4. Suppose z(f) = 0. What is f? -2158, 1 Suppose 1309*n + 4*x = 1305*n - 32, 5*x = 5*n - 60. What is v in -2*v**n - 2/9*v**3 + 0 - 16/9*v = 0? -8, -1, 0 Let n(w) = 11*w**2 + 655*w + 55049. Let g(d) = 12*d**2 + 654*d + 55042. Let q(l) = -9*g(l) + 10*n(l). Solve q(a) = 0 for a. -166 Let t(w) be the first derivative of -w**4 + 16*w**3/3 + 40*w**2 - 192*w - 183. Factor t(c). -4*(c - 6)*(c - 2)*(c + 4) Let r = -60 + 62. Suppose d - 4*d + r*i + 10 = 0, d + 3*i - 7 = 0. Factor -2*o**4 + 6*o + d*o**2 - 2*o**4 - 8*o**3 - o + 3*o. -4*o*(o - 1)*(o + 1)*(o + 2) Suppose -5*f - 2*i + 120 = -f, -i + 4 = 0. Suppose -x + 2 = -2, -4*p - 5*x = -f. Factor -2*y + 2*y**p + 8*y + 2*y**2 + 2*y**3 - 4*y. 2*y*(y + 1)**2 Let d(h) be the first derivative of h**7/42 - h**6/5 + 3*h**5/5 - 2*h**4/3 - 39*h + 34. Let k(j) be the first derivative of d(j). Factor k(o). o**2*(o - 2)**3 Let a be (((-9)/(-21))/(-3))/(390/(-455)). Let f = -306 - -617/2. What is t in -4/3*t + 4/3*t**3 + f*t**2 - 8/3 + a*t**4 = 0? -4, -1, 1 Let q(s) be the third derivative of -1/180*s**6 + 0 - 27*s**2 - 4/27*s**3 + 2/27*s**4 - 1/270*s**5 + 0*s. Factor q(x). -2*(x - 1)*(x + 2)*(3*x - 2)/9 Factor -1263/7*q**3 - 3/7*q**5 + 0 - 6732/7*q**2 - 102/7*q**4 - 13068/7*q. -3*q*(q + 6)**2*(q + 11)**2/7 Let y = 129832/3 - 43276. Factor 0 - 2/3*v**4 + 0*v - y*v**2 - 2*v**3. -2*v**2*(v + 1)*(v + 2)/3 Let b be -35 + 1691/133 - -6*4. What is l in -b*l**2 - 16/7*l**3 - 2/7*l**4 + 16/7*l + 2 = 0? -7, -1, 1 Let a(m) be the first derivative of 5*m**3 - 2*m**3 + 144 + m**3 + 2*m**4 - 11*m - 3*m**4 - 5*m. Factor a(q). -4*(q - 2)**2*(q + 1) Suppose 221*k - 50*k = 3*k + 840. Factor 3/8*s**k - 3/2*s**4 - 15/8*s**3 + 0*s**2 + 0*s + 0. 3*s**3*(s - 5)*(s + 1)/8 Let y(h) be the third derivative of 41/420*h**7 + 0*h**3 + 1/672*h**8 - 1/240*h**6 - 41/120*h**5 - 38*h**2 + 0*h + 0 + 0*h**4. Let y(q) = 0. What is q? -41, -1, 0, 1 Factor -4484/7 + 4486/7*z - 2/7*z**2. -2*(z - 2242)*(z - 1)/7 Factor -55/2*a**2 - 60*a + 0 - 5/2*a**3. -5*a*(a + 3)*(a + 8)/2 Let w(j) be the third derivative of -j**6/300 + j**5/6 + 113*j**4/60 + 29*j**3/5 - 5*j**2 - 141. Find f such that w(f) = 0. -3, -1, 29 Let b(j) be the third derivative of j**7/210 + j**6/24 - 3*j**5/20 - 27*j**4/8 - 18*j**3 - 1308*j**2. Find d, given that b(d) = 0. -3, 4 Let v
{ "pile_set_name": "DM Mathematics" }
(j) = 6*p(j) + z(j). Let h(v) = -65*v + 1. Give a(h(m)). -4225*m**2 + 130*m - 1 Let u(x) = 22*x**2 - x + 329. Let o(j) = 2*j. Determine u(o(r)). 88*r**2 - 2*r + 329 Let m(i) = -2*i + 41. Let p(w) = 5065*w. Determine p(m(j)). -10130*j + 207665 Let r(x) = -4*x. Let a(m) = -7*m**2 - 5. Let i(f) = 8*f**2 + 6. Suppose 4*z - z = 15. Let j(v) = z*i(v) + 6*a(v). Calculate r(j(t)). 8*t**2 Let c(b) = -10*b. Let z(n) = 161*n + 1. Calculate c(z(a)). -1610*a - 10 Let o(d) be the third derivative of d**7/5040 + 7*d**5/20 - 7*d**2. Let n(u) be the third derivative of o(u). Let j(x) = 5*x**2. Determine j(n(c)). 5*c**2 Let d(v) = -v. Let i(g) = -g**2 + 5*g. Let s(y) = -5*d(y) - i(y). Suppose -2*z = -0 + 4, -o + 10 = -4*z. Let k(x) = -o*x + 4*x - 2*x + x. Calculate k(s(u)). u**2 Let k(l) = -2500*l**2 - 17. Let i(t) = t**2. What is k(i(r))? -2500*r**4 - 17 Let o(c) = 4*c. Let g(k) = 7*k. Let u(v) = -6*g(v) + 11*o(v). Let b(w) = 2*w**2 - 24*w. Let a(m) = 4*m. Let x(h) = -6*a(h) - b(h). Determine u(x(j)). -4*j**2 Let k(x) = 23*x. Let z(t) = -1258*t. What is z(k(c))? -28934*c Let d(v) = -4*v. Let c(g) = 4792*g. Determine d(c(f)). -19168*f Let j(c) be the third derivative of -c**5/60 - 7*c**3/2 - 18*c**2. Let m(k) be the first derivative of j(k). Let d(o) = 11*o - 3. What is m(d(i))? -22*i + 6 Let c(l) = 2*l. Let i = -17 - -20. Let h(y) = -8*y**2 - 2*y**2 + i*y**2 + 11 + 2*y**2. Let x(o) = -o**2 + 2. Let z(j) = 4*h(j) - 22*x(j). What is z(c(q))? 8*q**2 Let z be (-544)/(-144) - (-4)/18. Let y(t) = -4*t**2 + 6*t**2 - z*t**2. Let r(l) = -18*l**2. What is y(r(w))? -648*w**4 Let s(g) = -3*g. Let b(q) = -q**2 + 13*q - 7. Let o be b(12). Let t(i) = -o - i**2 + 11 - 6. Calculate t(s(l)). -9*l**2 Let c(l) = -90*l - 60. Let r(v) = -v - 1. Let p(s) = c(s) - 60*r(s). Let j(d) = -3*d**2. Calculate j(p(u)). -2700*u**2 Let k(p) = -203*p. Let r(h) = 17 + 12 - 40 - h**2 + 11. Calculate k(r(d)). 203*d**2 Let r(a) = 375*a + 27. Let o(x) = -53*x - 4. Let z(p) = 27*o(p) + 4*r(p). Let n(u) = -6*u**2. Give n(z(h)). -28566*h**2 Let g(v) be the second derivative of v**4 - 176*v - 1. Let t(s) = 4*s**2. Give g(t(h)). 192*h**4 Let w(n) = -5*n**2. Let k = -4 - -4. Suppose 3 = 5*m - 7. Let g(c) = 0*c**2 + k*c**m - 3*c**2 + c**2. Give g(w(j)). -50*j**4 Let l(s) = -s + 539. Let q(k) = k - 276. Calculate q(l(o)). -o + 263 Let q(i) be the third derivative of i**4/24 - 85*i**2 + 4. Let a(u) = -57*u**2. Determine q(a(v)). -57*v**2 Let i be (2 - -1 - 3)*1. Let s(m) = -3*m**2 + i*m**2 + 0*m**2 - 3*m**2. Let h(c) = -4*c - 6*c + 8*c. What is s(h(j))? -24*j**2 Let c(w) = w. Suppose y = 3*y. Let n(l) = 0*l - 5*l + y*l - 6*l. Let s(q) = 4*c(q) + n(q). Let t(o) = -o. Calculate t(s(z)). 7*z Let u(z) be the third derivative of -z**5/30 + z**2. Let r(j) = 41*j**2 + 96 - 278 + 91 + 91. What is u(r(a))? -3362*a**4 Let b(h) = -120*h. Let c(d) = -13*d**2 + 9*d + 9. Let w(k) = 3*k**2 - 2*k - 2. Let o(q) = 2*c(q) + 9*w(q). Determine b(o(t)). -120*t**2 Let o(l) = l**2. Let w(d) = 49 - 36 - 122*d - 13. Give o(w(b)). 14884*b**2 Let q(h) = 15*h**2 + 119*h + 1. Let l(o) = -90*o. Give q(l(b)). 121500*b**2 - 10710*b + 1 Let c(b) = -4*b. Let o(y) = -3*y + 2*y**2 - 13 + 3*y + 10. Determine c(o(m)). -8*m**2 + 12 Let m(s) = -119*s - 1. Let z(k) be the second derivative of -k**3/3 - 375*k. Calculate m(z(r)). 238*r - 1 Let k(i) = 13*i**2. Let n(d) be the first derivative of -75*d**2/2 - 665. Calculate k(n(y)). 73125*y**2 Suppose 0*x + 3 = x. Suppose 0*l = x*l - 6. Let k(r) = 40 - 40 + r**l. Let v(w) = w**2. What is k(v(g))? g**4 Let x(u) = -2*u - 14. Let p(d) = 702*d. Determine x(p(f)). -1404*f - 14 Let d(p) = -2*p**2. Let b(a) = 1523 - 760 + a - 763 - 12*a**2. What is b(d(v))? -48*v**4 - 2*v**2 Let o(l) = -22*l**2 - 3. Suppose 9*s = 15*s - 18. Let g(m) = -112*m**2 - 16. Let k(y) = s*g(y) - 16*o(y). Let w(r) = r**2. Calculate w(k(x)). 256*x**4 Let w(j) = -27*j. Let l(q) = 43599 - 43599 - 5*q. Give l(w(d)). 135*d Let b(i) = -331 + 73*i + 331. Let t(a) = a. Give b(t(r)). 73*r Let j be 5 + (-5)/(5/(-12)). Let h(k) = 18*k**2 - 7*k**2 - j - 8*k**2. Let l(n) = -n**2. Give h(l(g)). 3*g**4 - 17 Let m(x) be the first derivative of -8*x**2 + 557. Let j(y) = 2*y - 5. Let n(f) = f - 3. Let d(a) = 3*j(a) - 5*n(a). Give m(d(l)). -16*l Let q(h) = -19*h + 4. Let r(w) = -w + 24412*w**2 + 3*w - 2*w - 24418*w**2. Determine r(q(c)). -2166*c**2 + 912*c - 96 Let v(y) = -11397*y**2. Let f(p) = 9*p. Determine v(f(j)). -923157*j**2 Let p(r) = r. Suppose -4*a + 3*a = 0. Let d be 1 - 2 - (a - 1). Let t(k) = 0 + 2*k + d*k + 0. Determine p(t(m)). 2*m Let c(n) = -2723*n. Let y(w) = -4*w. Give c(y(k)). 10892*k Let f(t) = 11*t**2. Let w(u) = -3819*u**2 - u - 1. What is w(f(i))? -462099*i**4 - 11*i**2 - 1 Let f(q) = -138*q**2 - 8 + 7 + 12 - 10. Let o(g) = -6*g. What is o(f(t))? 828*t**2 - 6 Let z(k) = 1256*k - 900. Let h(i) = 2*i**2. Give z(h(y)). 2512*y**2 - 900 Let d(h) = 9*h**2 + 13*h. Let g(p) = -356*p**2. Give d(g(r)). 1140624*r**4 - 4628*r**2 Let h(a) = -124*a + 32. Let x(s) = -4*s + 1. Let w(p) = -5*h(p) + 160*x(p). Let l(n) = -2*n. What is l(w(c))? 40*c Let c(l) be the first derivative of -2*l**3/3 - 214. Let t(d) = -204*d. Calculate c(t(b)). -83232*b**2 Let b(x) = 2*x**2. Let a(d) = -36*d. Let c be (3/(-2))/(2/48*9). Let q(r) = -7*r. Let l(v) = c*a(v) + 22*q(v). What is l(b(i))? -20*i**2 Let p(g) = 3*g + g + 7*g + 0*g - 10*g. Let z(u) = -3*u**2 - 3*u**2 - 3*u**2. Calculate p(z(i)). -9*i**2 Let m(y) = -11*y**2. Let w(l) = 5*l - 12. Let r(g) = 2*g + 2. Let f(k) = -6*r(k) - w(k). What is f(m(x))? 187*x**2 Let j(z) = z**2 + 9. Let q(d) = -3922*d + 2. What is q(j(n))? -3922*n**2 - 35296 Let s(o) = 2*o. Let m(q) = -54679*q**2. What is s(m(l))? -109358*l**2 Let r(g) = -4*g. Let j(n) = 6092*n**2. What is r(j(q))? -24368*q**2 Let u(i) = 16*i**2 + 3. Let f(m) = -128*m - 2. Determine u(f(y)). 262144*y**2 + 8192*y + 67 Let w(g) = -11*g**2 - 5*g + 5. Let z(t) = -2*t**2 - t + 1. Let u(n) = w(n) - 5*z(n). Let s(r) be the first derivative of -r**2 - r - 1. Determine s(u(j)). 2*j**2 - 1 Let f(q) = 2*q. Let p(x) = -8 + 1 + 5*x**2 + 2*x + 3 + x**3. Let z be p(-4). Let j(a) = -a - 4*a + z*a. What is j(f(b))? -2*b Let o(n) = -n**2. Let r(d) = 20*d**2 - 84*d**2 - 25 + 63*d**2. Determine r(o(j)). -j**4 - 25 Let k(b) = 25*b. Let w(x) be the second derivative of 2*x**4/3 + 283*x. Give k(w(u)). 200*u**2 Let b(j) = j**2. Let r(i) be the second derivative of 11*i**4/12 - 3*i**2 + 3*i. Let n(w) = 341*w**2 - 187. Let q(d) = 6*n(d) - 187*r(d). Calculate b(q(z)). 121*z**4 Let d(n) = -5*n**2 - 21*n. Let q(m) = -3*m**2 - 12*m. Let y(l) = 4*d(l) - 7*q(l). Let c(w) = -284*w**2. Calculate y(c(z)). 80656*z**4 Let j(g) = -28*g**2 + 30*g**2 + 21*g**2. Let w(h) = -8*h - 1 + 1 + 4*h. Let s(n) = n. Let r(m) = 6*s(m) + w(m). What is r(j(y))? 46*y**2 Let q(v) = -145*v + 58. Let x(h) = 2*h - 1. Let z(w) = q(w) + 58*x(w). Let i(r) = 35*r**2. Calculate i(z(k)). 29435*k**2 Let d(i) = 48*i + 2. Let v(o) = 3563*o**2. Give d(v(f)). 171024*f**2 + 2 Let h be (13*(-2)/4)/((-5)/70). Let i(t) = -4*t - h + 91. Let w(n) = -n. What is w(i(u))? 4*u Let g(s) = -6*s. Let y(h) be the second derivative of -2*h**4/3 + 2*h. Calculate g(y(u)). 48*u**2 Let a(x) = -x**2. Let b(s) = 6*s - 1. Let u(h) = -504*h + 21. Let l(k) = -21*b(k) - u(k). Determine a(l(i)). -142884*i**2 Let s(k) be the third derivative of 4*k**4/3 + k**3/6 + 4*k**2 + 16. Let o(j) = 2*j. Give s(o(u)). 64*u + 1 Let x(s) = -2*s**2. Let o = -84 - -86. Let i(y) = -9*y**o + 66*y**2 - 27*y**2 - y**2. What is i(x(b))? 116*b**4 Let h be 477/45 + (-6)/10. Let b(l) = -3*l - 10 + h - 2*l. Let g(x) = 11*x**2. What is g(b(d))? 275*d**2 Let z(g) = 2*g - 9*g - g. Let a(q) = -q. Let x(l) = -6*a(l) + z(l). Let d(j) = -2*j. What is x(d(n))? 4*n Let x(r) be the first derivative of 0*r**2 + 7 + 0*r - 1/3*r**3. Let g(h) = 2*h. Give x(g(o)). -4*o**2 Suppose -16 = -3*z - 4*v - v, -8 = z - 5*v. Let p(w) = -4*w + 14. Let d be p(3). Let b(q) = -5*q**d + 10*q**z - q**2. Let x(m) = -3*m**2. What is x(b(s))? -48*s**4 Let k(l) = 29*l**2. Let o = 23 - 18. Let h(z) = 12 + 2*z - o - 7. Give h(k(s)). 58*s**2 Let f(q) = q. Let i(g) = 8*g. Let p(u) = -6*f(u) + i(u). Let t(o) = -6*o + 2*o - o + 6*o. Give t(p(n)). 2*n Let t(v) = v**2. Let a(o) = o**2 + 20. Let x be a(0). Let r(g) = 14*g
{ "pile_set_name": "DM Mathematics" }
*t**4 Let z(r) = -r. Let d(n) = 5*n + 3. Calculate d(z(v)). -5*v + 3 Let k(j) be the first derivative of -5/2*j**2 + 0*j - 4. Let y(r) = -2*r. Determine k(y(l)). 10*l Let s(m) = -240*m. Let j(p) = -4*p**2. Give j(s(l)). -230400*l**2 Let x(v) = 2*v**2 + 3*v + 1. Let m be x(-2). Let b(i) = -i**2 - 3 + 6 - m. Let f(n) = 5*n. Let o(k) = -k. Let y(j) = -f(j) - 6*o(j). Calculate b(y(l)). -l**2 Let l(v) be the first derivative of 5*v**2 - 42. Let g(m) = m. Give l(g(o)). 10*o Let m(c) = -c**2. Let h(k) be the second derivative of -k**5/60 - k**2 - k. Let s(a) be the first derivative of h(a). What is s(m(u))? -u**4 Let q(i) = 13*i + 5*i - 10*i - 5*i. Let h(j) = -4*j**2 + j**2 + 0*j**2. Determine h(q(g)). -27*g**2 Let d(y) = 2*y. Suppose 4*p + r - 4*r = 23, 0 = -4*p + 5*r + 33. Let m(z) = -2*z**2 + 0*z**p - 2*z**2. Give d(m(g)). -8*g**2 Let y(o) = 317 - 317 - 22*o. Let n(k) = -k**2. Calculate n(y(q)). -484*q**2 Suppose v - 5*n + 7 = 0, 4*v + 2*n = -0*v + 16. Let p(i) = -4*i - v*i - 11*i + 15*i. Let j(k) = -3*k**2. Determine p(j(a)). 9*a**2 Let c(m) = 18*m**2 - 10*m**2 - 7*m**2. Let v(l) = 7*l + 4*l - 14*l. Calculate v(c(o)). -3*o**2 Let j(v) = -1120*v. Let x(m) = -4*m**2. Give x(j(q)). -5017600*q**2 Let g(m) = -4*m**2. Let q(t) = 3*t**2 - 11. Give g(q(s)). -36*s**4 + 264*s**2 - 484 Let a(o) = 2*o. Let m(p) = -19*p**2 - 51*p**2 + 10*p**2. Give a(m(w)). -120*w**2 Let l(d) = 3*d**2. Let q(v) be the third derivative of -2*v**5/15 + 24*v**2. Give l(q(i)). 192*i**4 Let b(v) = -3*v. Let z(a) be the second derivative of -2*a**3/3 + 3*a. Let p(t) = -3*t. Let u(y) = 5*p(y) - 4*z(y). Calculate b(u(l)). -3*l Let j(g) be the third derivative of g**6/120 - g**3/2 - 5*g**2. Let i(h) be the first derivative of j(h). Let q(f) = -f. Calculate i(q(p)). 3*p**2 Let n(v) = -528*v. Let j(g) = g**2. Determine n(j(w)). -528*w**2 Let f(v) = 7*v. Let m(b) = -788*b. Give f(m(t)). -5516*t Let b(i) = 10*i**2 - 5*i - 5. Let y(c) = -5*c**2 + 2*c + 2. Let o(k) = -2*b(k) - 5*y(k). Let v(l) = -l. Give o(v(d)). 5*d**2 Let p(k) = -3*k. Let t = 107 + -105. Let q(r) be the second derivative of 0 + t*r + 0*r**2 + 1/12*r**4 + 0*r**3. What is q(p(u))? 9*u**2 Let r(s) = -3*s + 30. Let j(z) = 3*z. Determine r(j(p)). -9*p + 30 Let t(n) = 3*n**2. Let q(b) = -3*b**2 + 3. What is q(t(o))? -27*o**4 + 3 Suppose 4*u = -0*u - 44. Let v(y) = -15*y - 4. Let m(n) = 44*n + 11. Let d(l) = u*v(l) - 4*m(l). Let g(j) = 2*j**2. Determine d(g(w)). -22*w**2 Let s(p) = 14*p - 16. Let d(f) = 3*f - 3. Let y(x) = -16*d(x) + 3*s(x). Let r(v) = -2*v. What is r(y(l))? 12*l Let u(y) = y. Let w(s) = -4*s**2. Let f(g) = 9*g**2. Let p(b) = 2*f(b) + 5*w(b). What is p(u(l))? -2*l**2 Let s = 5 - 3. Let w be (-1)/(0 - 1/s). Let a(h) = w*h - h - 2*h - h. Let l(i) = i**2. What is a(l(p))? -2*p**2 Let v(k) = -2*k**2. Let f(x) = 14*x**2 + 0 + 0 - 10*x**2. Give f(v(q)). 16*q**4 Let c(k) be the third derivative of 1/12*k**4 + 0*k**3 + 0*k + 2*k**2 + 0. Let r(q) = 3*q**2. Give c(r(m)). 6*m**2 Let v(q) be the second derivative of 0*q**2 + 0*q**3 - 1/12*q**4 - 2*q + 0. Let s(r) = 3*r**2 - r**2 + r**2. Determine s(v(y)). 3*y**4 Let f(b) be the second derivative of b**6/240 + 5*b**4/12 - 5*b. Let o(d) be the third derivative of f(d). Let t(z) = 4*z**2. Determine t(o(x)). 36*x**2 Let t(l) = -3*l**2. Let v(s) = s**2 + 6*s + 7. Let h be 1/2 - (-11)/(-2). Let z be v(h). Let w(a) = z*a - 2 + 2. What is t(w(o))? -12*o**2 Let g(w) be the first derivative of w**2 + 26. Let j(y) = -37*y**2. What is j(g(d))? -148*d**2 Let o(t) be the third derivative of t**5/60 + 2*t**2. Let l be (-75)/(-27) + 4/18. Let m(h) = -3*h**2 + l - 1 - 2. What is m(o(k))? -3*k**4 Let t(p) = -10*p**2. Let z(d) = -109*d**2. Determine t(z(w)). -118810*w**4 Let w(h) = -2*h**2. Let a(l) = 2*l**2 + 4*l + 2. Let v be (9/6)/((-3)/4). Let i be a(v). Let q(f) = -i*f - f + f. Calculate q(w(o)). 4*o**2 Let b(f) be the first derivative of f**3/3 + 28. Let x(u) = -25*u. Calculate b(x(p)). 625*p**2 Let v(t) be the first derivative of 0*t + 10 + 1/2*t**2. Let k(d) = d. Give v(k(n)). n Let n(r) = 23 - 23 + 4*r**2. Let j(f) = -7*f**2. Calculate j(n(c)). -112*c**4 Let k(i) = 5*i. Let m(q) = -2*q - 21. What is k(m(b))? -10*b - 105 Let n(d) = d**2 - 8*d - 5. Let r be n(9). Let l(g) = -g + r*g - 5*g. Let u(h) = -9*h + 6. Let t(s) = -27*s + 17. Let c(i) = 6*t(i) - 17*u(i). Give c(l(q)). 18*q Let r(a) = 1034*a**2. Let m(f) = -2*f. What is r(m(b))? 4136*b**2 Let u(f) be the second derivative of -41*f**4/12 - 32*f. Let q(w) = -2*w. Determine u(q(j)). -164*j**2 Let f(t) = t**2 + 2*t**2 - 7*t**2. Let a(p) = 2*p**2 - 4*p**2 + p**2. Let l(x) = -4*x**2. Let y(i) = 10*a(i) - 2*l(i). Give y(f(q)). -32*q**4 Let o(i) = -i**3 - 2*i**2 + 3*i + 3. Let j be o(-3). Let w(n) = 3*n - j*n - 2*n. Let u(f) = -2*f. Give w(u(c)). 4*c Let z(l) = -33*l + 14*l + 16*l. Let x(m) = -10*m**2. Determine z(x(d)). 30*d**2 Let k(q) = 1190*q**2. Let t(w) = 13*w**2. Give k(t(h)). 201110*h**4 Let c(y) = y**2. Let p(m) be the second derivative of 0*m**2 + 0*m**3 + 1/12*m**4 - m + 0. What is c(p(f))? f**4 Let h(j) = -5*j. Let l(z) = -231*z**2 - 2*z. What is l(h(c))? -5775*c**2 + 10*c Let a(l) = -7 + 9*l**2 + 2 + 5. Let d(f) = 2*f. Calculate d(a(i)). 18*i**2 Let t(r) be the first derivative of -r**2/2 + 8. Let o(v) = -v**3 - 7*v**2 - 7*v - 6. Let i be o(-6). Let n(g) = -5*g + 4*g + i*g. Give n(t(y)). y Let i(l) = -2*l**2. Let u(x) be the first derivative of -5*x**3/3 + 3. Let h(a) = -24*a**2. Let w(m) = -6*h(m) + 28*u(m). Give w(i(k)). 16*k**4 Let t(s) = -2*s - 10. Let q be t(-5). Let j(m) be the second derivative of -m - 1/3*m**3 + 0*m**2 + q. Let f(k) = -2*k. Give f(j(n)). 4*n Let x(i) = -133*i**2. Let h(t) = 6*t. Calculate h(x(a)). -798*a**2 Let c(v) = -5*v. Let w(b) = -7*b + 8*b - b - 6*b**2. Calculate c(w(t)). 30*t**2 Let f(a) be the first derivative of -a**3/3 - 23. Let p(v) = -27*v**2 - 1. What is f(p(m))? -729*m**4 - 54*m**2 - 1 Let x be (6/(-4))/(7/(-14)). Let k(s) = -x*s + 6*s + 0*s. Let g(q) = 3*q**2. What is k(g(w))? 9*w**2 Let l(o) be the third derivative of -o**7/630 + o**4/24 - 2*o**2. Let z(h) be the second derivative of l(h). Let f(c) = -c. Calculate f(z(d)). 4*d**2 Let d(a) = 3*a**2. Let l(s) be the third derivative of s**4/8 + 2*s**2. What is d(l(v))? 27*v**2 Let s(l) = -2*l. Let w(m) = 14*m**2 - 8*m**2 - 7*m**2. Calculate s(w(v)). 2*v**2 Let o(x) = -3*x**2. Let f(n) = 41*n**2. Calculate o(f(v)). -5043*v**4 Let s(d) = -2*d**2. Let q(v) = v**2 + 413. Give q(s(o)). 4*o**4 + 413 Let m(w) be the first derivative of 15*w**2 + 32. Let f(y) = -4*y. Calculate m(f(u)). -120*u Let a(d) = 11*d**2. Let f(x) = 6*x + 4*x - 6*x - 7*x. Give f(a(p)). -33*p**2 Let o = -15 - -21. Let w(d) = d - 5. Let v(h) = -h + 6. Let q(j) = o*w(j) + 5*v(j). Let f(c) = 3*c. Calculate f(q(i)). 3*i Let y(t) be the second derivative of t**4/6 - 6*t. Let q(s) = -5*s. Calculate q(y(j)). -10*j**2 Let q(z) = -3*z. Let k(l) = 355*l**2 - 2*l. Calculate q(k(w)). -1065*w**2 + 6*w Suppose 7*g = 2*g + 15. Let x(t) = -2*t - g + 3. Let b(y) = -4*y**2 - 3*y**2 + 8*y**2. Determine b(x(c)). 4*c**2 Let b(o) = o**2. Suppose 0 = -4*n - 3*d + 10, -3*n + 3*d = 2*n + 1. Let f(q) = -q. Let h(y) = -5*y. Let j(g) = n*h(g) - 10*f(g). What is j(b(i))? 5*i**2 Let a(s) = -2*s. Let m(k) = -5*k**2 + 7*k + 7. Let q(f) = 2*f**2 - 4*f - 4. Let x(z) = -4*m(z) - 7*q(z). What is a(x(w))? -12*w**2 Let r(v) = -544*v. Let f(n) = 2*n. Determine r(f(o)). -1088*o Let h(p) = -9 + 9 + 5*p**2. Let v(w) be the third derivative of -w**5/30 - 2*w**2. What is h(v(x))? 20*x**4 Let q(w) = -16 - 18 + 34 - 4*w. Let c(g) = -10*g. Calculate c(q(d)). 40*d Let p(f) = -14*f. Let c(k) = k. Let h(t) = -3*t. Let m(j) = -5*c(j) - 2*h(j). Calculate m(p(n)). -14*n Let t(p) = -p**2. Let b(g) be the second derivative of -g**5/10 - g. Let i be b(-1). Let x(j) = 8*j**2 - 2*j**i - 2*j**2. What is x(t(f))? 4*f**4 Let b(n) = 3*n**2 + 7*n - 7. Let w(r) = r**2 + 3*r - 3. Let c(k) = -3*b(k) + 7*w(k). Let p(m) be the second derivative of 2*m**3/3 + m. What is p(c(x))? -8*x**2 Let k(b) be the third derivative of b**6/180 - b**4/8 + b**2. Let u(x) be the second derivative of k(x). Let n(t) = -2*t**2. Determine n(u(p)). -32*p**2 Let c(x) = -x**2 + 10*x. Let h(p) = -p**2. Give h(c(w)). -w**4 + 20*w**3 - 100*w**2 Suppose -5*a +
{ "pile_set_name": "DM Mathematics" }
*g for i. 5 Let p(y) = -y**2 - y + 60. Let h be p(0). Suppose 4*g = 8*g - h. Solve -i = m + 4*i - 29, 3*i = g for m. 4 Let v(o) = o**2 + 5*o + 2. Let s = -13 + 8. Let d be v(s). Solve 3*b = -n + 10, -5*n - d*b + 6 = 2*b for n. -2 Suppose 0*o = -5*o + 25. Let r = -3 - o. Let j be (-6)/r + (-548)/(-16). Solve 0 = -4*n + n - 5*a - j, 5*n = -3*a - 37 for n. -5 Let p(x) = 4*x**3 - x**2 - x + 1. Let g be p(1). Solve w = -4, -4 = o - g*w - 16 for o. 0 Suppose -7*u + 20 = -3*u. Suppose -2 = u*x + 4*r, x = 6*x - 5*r - 25. Solve -o + 0*b = b + 3, 5*b = x*o - 29 for o. 2 Suppose 2*f + 3*z + 8 = 40, 0 = -5*f + 5*z + 80. Suppose 48 + f = 4*c. Let r = 28 - c. Solve -5*t = -2*j + r, -j + 4*t = -6*j - 36 for j. -4 Suppose 9 = -0*m + 3*m. Solve -o - 3 = m*u - 14, 2*o - 5*u = -11 for o. 2 Suppose -2*b + 2 + 8 = 0. Let v = 7 - b. Suppose 5*s = d - 8, d - 16 = s - 4*s. Solve z + 3*f = d, v*z - f + 2 = -0*z for z. 1 Let b(r) = r**3 - 8*r**2 + 2. Let v be b(8). Let j = v + 1. Solve 5*w = -j*x - 40, 4*w - 5*x = 1 + 4 for w. -5 Let z = -3 - -3. Let u be -4 - (0 - 0 - z). Let p be (-4)/(-5)*(-10)/u. Solve -5*d - y + 0*y + 15 = 0, -p*d - 3*y + 6 = 0 for d. 3 Let t be 3 + (-9)/(-5 - -2). Solve -1 = 2*s - 3*g - 2, 2*g + t = 0 for s. -4 Let o be 4/10 - (-184)/40. Solve 0 = 5*y + 2*n - 4 - 11, 0 = 5*y - o*n - 15 for y. 3 Suppose 2*j + 24 = -5*y, 0*y - 2 = 2*y - 3*j. Let r = y - -11. Let q = 11 - r. Solve v - q*v + 4*c = 0, c = -v for v. 0 Let z(n) = 7*n - 1. Let o be z(1). Suppose 0 = -j + 4*j - o. Solve -2*f = -0*f + 4*m - 22, -m = -f + j for f. 5 Let w(x) = x**2 - 28*x + 77. Let k be w(25). Solve -2*r + k = -2*b, 5*r - 21 = -5*b + 14 for b. 3 Let t(u) = -3*u**2 + 9*u + 7. Let p(o) = -4*o**2 + 9*o + 7. Let c(l) = 4*p(l) - 5*t(l). Let k be c(-7). Solve 5*s - v - 23 = 3*v, -k = -s + 2*v for s. 3 Let d be (-6)/(-8)*2*(11 - -1). Solve -4*m - d = -5*t + 15, -3*t = 3*m - 9 for t. 5 Let r(l) = l**2 - 8*l + 12. Let i be r(7). Solve h - 5 = -i*w, -4*h - 3 = 4*w - 23 for w. 0 Let h = 37 - 35. Solve -5*u - 2 = -2*u - 2*v, -5*u + h = 2*v for u. 0 Let m be 5/10 - 6/(-4). Suppose m*u = 39 + 1. Solve 3*w = 8*w + 20, 5*f + u = -5*w for f. 0 Let d be 24/8 + (-1 - -1). Let b be ((-6)/4)/((-1)/2). Let i(a) = 4*a - 2. Let f be i(b). Solve 0*r + d*t - f = -5*r, 0 = 3*t for r. 2 Let i be 1/(-4 - 202/(-50)). Solve -3*k + 5*p = k - 45, -5*p = i for k. 5 Let a = 3 - 4. Let h be a + (-6)/(-2 - 0). Solve 3*m + 4*d = -0*m + 8, h*d - 4 = 0 for m. 0 Let j(x) be the first derivative of -x**3/3 + 3*x**2 - 6*x - 1. Let o be j(4). Let k be (-4)/(-2) + o + -2. Solve t = 4, 0*t = -5*w - k*t + 8 for w. 0 Let c(q) = -q**2 + 3*q + 2. Let r be c(3). Suppose -t = -6 - r. Let m be (-17)/(-4) + (-2)/t. Solve 2*l + 0*p + 2*p + m = 0, -5*l - 2*p - 10 = 0 for l. -2 Let o = 15 + -11. Let s = -7 - 6. Let d = 25 + s. Solve 4*y - o*h - d = -0*y, 3*y = -4*h + 9 for y. 3 Let u(z) = 3*z - 13. Let g be u(7). Solve g = 2*m - 0*m - o, 5*m - 19 = 2*o for m. 3 Suppose 3*n - 5*n = -3*o + 6, 5*o = -2*n + 10. Suppose n = 2*u + 3 - 15. Let b be 62/u - (-4)/6. Solve 5*x - l - b = 7, -3*l = 3*x - 18 for x. 4 Let y = -22 + 32. Solve s - 3*w + 25 = 2*w, -2*s + 2*w = y for s. 0 Let p = -22 - -27. Solve -21 = y - p*d, 3*y - 2*y = d - 5 for y. -1 Suppose 24 = 2*s + 2. Suppose -s = -4*v + 1. Solve z + 2*z - 12 = -2*d, -12 = -v*z + 5*d for z. 4 Let b(h) = -2*h - 7. Let j(y) = -2*y - 7. Let i(m) = -6*b(m) + 5*j(m). Let l be i(6). Solve -k + 3*g = 7, -4*k - 2*g - 5 = -l for k. 2 Let v = 4 + -2. Solve 10 = 3*a + 2*a + 3*l, -l = -a + v for a. 2 Let s(h) = -h - 9. Let o be s(-14). Solve -u + 0*u = -c - 3, -10 = -o*u + 4*c for u. -2 Suppose 2*k = 3*r + 3, -4*k + 9*k + r + 1 = 0. Solve 0 = -k*z - 5*z - m - 25, -2*z - 10 = 3*m for z. -5 Suppose -5*x = -2*x. Suppose x*i + 8 = 2*i. Solve i*a = 5*q + 11, q - a - 2 + 4 = 0 for q. -3 Suppose -26*g + 18 = -23*g. Solve 4*h - w = g*h + 7, -15 = 4*h + w for h. -4 Let s be 5 + (-1 - (2 - 3)). Suppose -s = -3*l + 2*l. Solve 0 = 3*g - 5*g + 3*q - 8, -3*g = l*q - 7 for g. -1 Let b be ((-6)/9)/((-4)/18). Suppose -b*f = f - 12. Suppose -m + 10 = h + 4*h, -5*m = -f*h + 6. Solve m*l - l - a = -1, -3*l = -a - 7 for l. 2 Let b(p) = 2*p**2 - p. Let g be b(-1). Suppose 10*u - 5*u - 3*w + 72 = 0, 12 = g*w. Let n be 0 + -1 - (1 + u). Solve -4*d = 2*i - n, -i - 3 = -5*d + 20 for d. 4 Let w be (1/(-2))/((-7)/56). Solve b + 4 = 3*b + 3*p, p = w for b. -4 Suppose 3*s = -5*z + 2, 3*z = -0*z + s - 10. Let o = 3 - z. Solve -y - 3*q = -5*y + 20, 2*q = o*y - 25 for y. 5 Let i = -8 + 11. Suppose 0 = 3*h - t - 23 + 4, -2*h + i*t = -15. Let n be ((-8)/(-18))/(-10*(-7)/315). Solve -8 = -2*s, n - h = -4*p - 4*s for p. -3 Let a = -12 - -22. Solve 5*z + a = y, 0*z + z + 3*y - 14 = 0 for z. -1 Suppose -n - 2 = -4. Let k = 2 + n. Suppose 3*l = k*y, 7*l - 2*l = -y + 23. Solve -y*o + 16 = -5*o + 2*d, -34 = 3*o - 5*d for o. -3 Let o = 9 + -4. Let t(m) = -m**2 + 7*m - 6. Let v be t(o). Suppose 3*i - 4 = -5*n, 0*i + 5*i - v*n - 19 = 0. Solve 8 = 4*r, -i*b + 3*r + 2*r = 16 for b. -2 Let s = 50 - 45. Solve s*u + 4*a + 1 = 0, 3*u - 9 - 8 = 2*a for u. 3 Let g be 64/28 + (-6)/21. Suppose g*f + 1 - 23 = 0. Solve l = 2*n - 5, n - 2*l + 1 = f for n. 0 Suppose 2*n = 7*n - 15. Solve a + n*s - 10 = 0, 6 + 0 = 3*a - 3*s for a. 4 Suppose 2*z + 150 = 5*d + 7*z, 142 = 5*d + 3*z. Solve 4*x + 2*a - a = -24, 2*x + 4*a + d = 0 for x. -5 Let r(j) = -j**3 + 5*j**2 - 5*j + 5. Let v be r(4). Let n(t) = 4*t**3 + 2*t**2 - 1. Let w be n(1). Solve -3*c - w*x - v = 0, 2*c + x = 5*c - 11 for c. 3 Let a(i) = 4*i + 4. Let l be a(4). Solve l = 3*b + 5*z, -2*b - 3*z = -z - 8 for b. 0 Suppose -4*i = i + 60. Let u be 14/4 + i/24. Solve -3*v = -2*v - 5*l - 4, u*v - 2*l + 1 = 0 for v. -1 Let y(d) = d**3 + 3*d**2 - 3*d - 6. Let t be y(-4). Let a(w) = w**2 + 8*w - 9. Let r be a(t). Solve -2*z + 5*f + r = 0, 4*z = -f - 0*f + 11 for z. 3 Let v be (2 + -1 + -1)*1 - 0. Solve 25 = -5*g - 5*x, v = -5*x - 5 - 15 for g. -1 Let y = 9 + -9. Suppose 0 = -y*w - 5*w + 15. Solve g - 16 = -0*g + 3*t, 2 = -w*g - t for g. 1 Let o(x) = -x**2 - 4*x - 2. Let j be o(-5). Let c = j - -7. Solve c = -r - 2*h + h + 1, -3*r = 4*h - 3 for r. 1 Suppose 3*k + 5*v - 29 = 0, -5*v + 26 = -0*k + 2*k. Solve 6*l - l = 10, k*p - l = -2 for p. 0 Let z(m) = 3*m - 7. Let k be 1/6 - 246/(-36). Let f be z(k). Suppose 0 = 4*x - f + 6, s = 5*x - 6. Solve s = t + 5*b + 24, -4*t - 23 = b for t. -5 Let l(a) = -a - 2 - 3*a - 2*a**3 - 4*a**2 + a. Let u be l(-2). Suppose -s + u = s. Solve 0 = -k + s*t + 3, 5*k = 3*t + 2*t + 20 for k. 5 Let r be 14/(-3) - (-2)/3. Let c(w) = -w**2 - 6*w - 10. Let p be c(-4). Let k = p - r. Solve -h - 2*h = -k*z - 15, 2*z = h - 5 for z. 0 Let y(v) be the first derivative of v**3/3 - 4*v**2 + 3*v - 1. Suppose -5*w + 5 = 0, -2*w - 19 = -2*r - 5. Let o be y(r). Solve 4*g = 16, o*t + g = -2*g for t. -4 Let i = 1 - -10. Let u = i + -27. Let y = u + 22. Solve -5*b - 3*j - 2 = -1, -2*j = -y for b. -2 Let i = 17 - 37. Let s be (-2 + i/(-14))*-7. Solve 6*b - 2*b - 2*q - 20 = 0, s*q = -8 for b. 4 Let o = -11 + 16. Let b be 2 + 2 + 30/3. Suppose -4*a + 2*k = -114, 3*a + 3*k = 129 - 30. Solve -6*t + t + 3*i = b, 5*i = -o*t - a for t. -4 Let d(n) be the second derivative of -2*n - 1/12*n**4 - 1/2*n**2 + n**3 + 0. Let r be d(5). Solve b = -3*a + 5, -4*b + r = 3*a - 7 for b. 2 Suppose -3*r - 2*z = 2*r - 19, 2*z + 31 = 5*r. Solve -y = -r*i - 15, y = 3*y - i - 3 for y. 0 Let a(s) be the second derivative of -s**3/6 + s**2/2 + s. Let n be a(-3). Solve -n*k = 5*r + 33, 3*r - 4*k - 3 = 2*r for r. -5 Let t(l) = l**3 + 7*l**2 + 6*l - 5. Let r be t(-5). Let y(s) = -s**2 + s + 5. Let f be y(0). Let v = f + -2. Solve 3*n = v*z + 15, 0 = n + 4*n + 5*z + r for n. 1 Suppose -2*p + 0 = -6. Let m be (-6 - 0)*2/(-6). Suppose -2*i + 10 = s, m*s = 3*i + 4*s - 17. Solve i*f - 12 = -p*j, -4*j + j = -4*f + 23 for f. 5 Suppose 2*p = 5*p. Let q = p + 5. Let y be ((-3)/7)/((-2)/14). Solve -5*z + 14 + 11 = -y*l, -2*z + 29 = -q*l for z. 2 Let m be 2/(-5) - 33/5. Let i = 3 + m. Let l = 9 + i. Solve -2*a + 28 = -l*c, 0 = -4*c + a - 2*a - 12 for c. -4 Suppose 1 = m + 10. Let k be ((-15)/m - 3)*-3. Solve 0 = -4*h + 3*j + 4, -3*j + 23 = k*h - 5 for h. 4 Suppose 4*c = 2*f + 16, -2 = -f - 4. Let b = c - 3. Suppose h + 7 = x, b = 5*x + 5*h - 2
{ "pile_set_name": "DM Mathematics" }
n(-8)? 4 Let p(c) = -c**3 + 8*c**2 + 58*c + 18. Give p(13). -73 Let v(g) = 302*g + 22633. What is v(-75)? -17 Let d(k) = -1232*k - 192191. Give d(-156). 1 Let o(f) = f**3 - 69*f**2 + 73*f - 391. Calculate o(68). -51 Let m(l) = -9*l - 60. Calculate m(-26). 174 Let z(l) = -16*l - 477. Give z(-53). 371 Let r(g) = -g**2 + 14*g + 488. Determine r(-17). -39 Let y(j) = -59*j + 1438. Determine y(25). -37 Let t(f) = 576*f + 6894. Give t(-12). -18 Let z(m) = 661*m**2 + m + 12. Determine z(-1). 672 Let w(f) = 102*f + 893. Calculate w(-9). -25 Let y(b) = -10*b**2 + 400*b - 1. Give y(40). -1 Let o(j) = 3*j**2 + 17*j - 159. What is o(7)? 107 Let y(d) = 175*d + 899. Give y(-5). 24 Let v(s) = -22*s**2 - 1100*s - 4. What is v(-50)? -4 Let i(v) = -v**2 + 24*v - 64. Calculate i(3). -1 Let v(o) = o**3 + 2*o**2 - 5*o + 18. Calculate v(0). 18 Let r(b) = b**3 + 5*b**2 - 58*b + 18. Determine r(-11). -70 Let c(a) = -a**3 - 99*a**2 - 93*a + 482. Give c(-98). -8 Let d(b) = -b**2 + 16*b - 6. Give d(8). 58 Let l(o) = -2*o + 91. Calculate l(51). -11 Let q(z) = z**3 + 9*z**2 - 20*z - 60. What is q(-10)? 40 Let a(o) = 3*o**2 + 142*o + 39. What is a(-49)? 284 Let h(n) = n**2 + 2*n - 177. Give h(-16). 47 Let f(n) = -65*n + 155. Calculate f(3). -40 Let q(t) = t**2 + 25*t + 2. Determine q(0). 2 Let d(q) = -8*q**2 - 36*q - 122. Determine d(-6). -194 Let n(k) = 26*k**3 - 128*k**2 - 14*k + 33. Give n(5). 13 Let i(r) = -3*r**2 - 22*r - 42. Calculate i(-5). -7 Let n(r) = -r**2 - 237*r - 4140. What is n(-19)? 2 Let i(j) = -j**2 + 77*j - 320. Determine i(78). -398 Let g(h) = 2*h**3 - 43*h**2 - 26*h - 20. What is g(22)? -108 Let t(u) = 19*u**3 + 60*u**2 + 9*u - 2. Calculate t(-3). -2 Let n(k) = -2*k**3 + 12*k**2 - 22*k + 14. What is n(4)? -10 Let h(w) = -w**2 - 17*w + 333. Give h(12). -15 Let z(p) = p**3 - 172*p**2 + 178*p - 1202. Determine z(171). -5 Let z(u) = -4*u**3 - 5*u - 23. Calculate z(-4). 253 Let r(l) = 3*l**2 + 12*l - 35. Determine r(4). 61 Let j(t) = -2*t**2 + 148*t - 2702. Calculate j(33). 4 Let g(b) = 2*b**2 - 14*b + 24. Give g(12). 144 Let c(t) = 12*t + 389. What is c(-16)? 197 Let z(s) = 46*s + 132. Give z(-10). -328 Let w(x) = 46*x + 5519. Give w(-120). -1 Let o(k) = -19052*k + 133375. What is o(7)? 11 Let m(q) = 3*q**2 + 5*q + 22. Calculate m(5). 122 Let m(l) = l**3 - l**2 - 31*l + 36. Determine m(7). 113 Let h(p) = -9*p**2 - 357*p - 40. Give h(-40). -160 Let g(t) = 62*t + 1502. Calculate g(-24). 14 Let z(j) = 165*j + 165. Give z(-1). 0 Let y(u) = -u**3 + 54*u**2 - 120*u + 638. Calculate y(52). -194 Let k(i) = -i**3 + 4*i**2 + 4*i - 8. Determine k(2). 8 Let l(r) = 2*r**2 + 720*r + 4269. Give l(-6). 21 Let n(j) = 285*j - 1430. Give n(5). -5 Let i(y) = -856*y + 2001. Give i(2). 289 Let t(q) = 81*q - 1612. Determine t(19). -73 Let s(y) = 417*y**2 - 608*y + 5. Give s(2). 457 Let p(j) = -709*j + 2801. Calculate p(4). -35 Let n(x) = -3582*x + 50147. What is n(14)? -1 Let n(c) = c**2 + 1361*c - 10953. What is n(8)? -1 Let t(b) = b**3 + 48*b**2 + 97*b + 248. Give t(-46). 18 Let c(p) = -p**3 - 29*p**2 - 32*p - 120. What is c(-28)? -8 Let m(o) = -3*o**2 - 339*o + 1030. Calculate m(3). -14 Let j(w) = -w**2 + 40*w - 98. What is j(7)? 133 Let q(i) = 13*i**2 + 142*i - 15. Determine q(-11). -4 Let j(s) = s**2 - 48*s + 429. Give j(36). -3 Let i(o) = o**3 - 36*o**2 - 82*o + 28. What is i(38)? -200 Let m(d) = 2*d**3 - 33*d**2 - 22*d + 37. Calculate m(17). -48 Let m(x) = -471*x**2 - 5*x - 1. Give m(-1). -467 Let u(j) = 10*j**2 + 38*j - 8. Calculate u(-3). -32 Let o(k) = -58*k - 475. What is o(-7)? -69 Let z(j) = -2*j**3 - 31*j**2 + 54*j + 49. Give z(-17). -2 Let w(g) = -18*g**2 + 26*g - 110. What is w(5)? -430 Let u(r) = -9*r**3 - 11*r**2 - 10*r + 2. Determine u(-4). 442 Let j(t) = t**3 + 23*t**2 + 58*t - 82. Give j(-20). -42 Let o(l) = -66*l - 5867. Determine o(-89). 7 Let i(q) = -3*q**2 + 2*q + 38. Calculate i(8). -138 Let f(x) = -19*x + 477. What is f(16)? 173 Let v(f) = -8*f**2 + 581*f + 75. Calculate v(73). -144 Let i(k) = k**3 + 122*k**2 + 252*k + 1366. What is i(-120)? -74 Let x(s) = 86*s**3 + 4*s**2 - 5*s. Calculate x(1). 85 Let n(u) = 245*u + 1563. Give n(-7). -152 Let f(r) = -4*r**3 - 13*r**2 + 32*r - 11. Determine f(-5). 4 Let g(f) = 61*f + 202. What is g(-8)? -286 Let s(f) = f**3 + 23*f**2 + 26*f + 14. Determine s(-22). -74 Let a(y) = -104*y**2 + 4*y - 5. Give a(-1). -113 Let c(d) = 119*d - 240. Determine c(2). -2 Let m(k) = -44*k - 1234. Give m(-28). -2 Let p(g) = 4*g - 328. Determine p(69). -52 Let c(p) = -3343*p - 177177. What is c(-53)? 2 Let g(r) = r**3 + 10*r**2 + 17*r + 15. Give g(-7). 43 Let y(a) = -19288*a - 115747. Calculate y(-6). -19 Let y(t) = -363*t - 1357. Determine y(-4). 95 Let o(d) = 17*d - 190. Determine o(12). 14 Let c(z) = -5*z**3 - 3*z**2 - z + 4. Give c(-2). 34 Let t(r) = -37*r**3 - 2*r**2 - 25*r - 53. What is t(-2)? 285 Let l(r) = r**3 + 33*r**2 + 239*r - 34. Determine l(-11). -1 Let u(i) = i**3 + 48*i**2 - 210*i - 141. Calculate u(-52). -37 Let b(j) = 3*j**2 - 8*j + 29. What is b(0)? 29 Let k(g) = g**3 + 11*g**2 - 79*g - 2. Calculate k(5). 3 Let a(z) = -9*z + 114. Calculate a(22). -84 Let h(x) = x**3 + 7*x**2 - 8*x + 11. Give h(-7). 67 Let d(b) = 5*b**3 + 19*b**2 - 121*b - 339. Determine d(-6). -9 Let d(s) = 22*s + 219. Determine d(-10). -1 Let p(m) = -29674*m - 267073. Calculate p(-9). -7 Let u(k) = 52*k - 132. Determine u(4). 76 Let x(j) = -51*j - 418. Give x(-10). 92 Let r(o) = -3553*o + 99487. Determine r(28). 3 Let k(r) = -2*r**3 + 11*r**2 + 19*r - 86. Calculate k(6). -8 Let g(z) = -611*z**2 - 8549*z + 81. Give g(-14). 11 Let a(q) = -14*q + 828. Determine a(58). 16 Let q(k) = -k**3 - 23*k**2 - 43*k - 115. What is q(-21)? -94 Let g(v) = 1176*v - 11813. Calculate g(10). -53 Let p(i) = -i**2 + 237*i - 10019. What is p(55)? -9 Let t(u) = 3*u**2 - 71*u - 2. Give t(0). -2 Let l(w) = -16*w - 943. Give l(-58). -15 Let n(s) = s**2 - 52*s - 374. Determine n(-7). 39 Let k(m) = 4*m - 62. Calculate k(62). 186 Let d(f) = -f**3 + 148*f**2 - 1633*f + 136. Give d(136). 0 Let k(l) = 21*l - 244. Determine k(12). 8 Let p(o) = 2*o**2 + 42*o - 471. What is p(8)? -7 Let j(z) = z**2 + 20*z + 71. Calculate j(-14). -13 Let h(v) = -371*v - 2929. Calculate h(-8). 39 Let u(s) = 39*s**2 - 101*s + 1. Give u(4). 221 Let y(l) = l**3 - 29*l**2 + 156*l + 90. Calculate y(8). -6 Let v(o) = -13*o**2 + 138*o - 211. What is v(9)? -22 Let v(g) = -92*g + 514. Determine v(6). -38 Let r(y) = -46*y - 739. Calculate r(-16). -3 Let y(l) = -222*l - 3333. Determine y(-15). -3 Let n(r) = -r**3 + 43*r**2 - 39*r - 134. Determine n(42). -8 Let n(o) = -2*o**2 - 55*o + 230. What is n(4)? -22 Let k(t) = -12*t**2 + 64*t - 15. Give k(6). -63 Let q(o) = -4*o**2 - 417*o + 313. Calculate q(-105). -2 Let k(s) = -4*s**3 + 175*s**2 + 47*s + 99. Give k(44). 231 Let q(u) = -2*u**3 - 3*u**2 - 19*u - 75. What is q(-4)? 81 Let y(k) = 211*k**2 + 3163*k - 24. Calculate y(-15). 6 Let l(j) = -5*j**3 - 21*j**2 + 2*j - 4. Calculate l(-4). -28 Let z(x) = x**3 + 19*x**2 - 121*x - 2016. Determine z(-20). 4 Let r(t) = 3*t**3 + 10*t**2 + 21*t + 18. Determine r(-2). -8 Let w(x) = 2031*x + 8117. Give w(-4). -7 Let s(m) = 182*m - 1250. Calculate s(7). 24 Let p(w) = w**3 + 16*w**2 + 53*w - 128. Determine p(-7). -58 Let b(m) = -94*m**3 + 7*m - 8. Calculate b(1). -95 Let j(u) = -68*u**2 - 89*u + 157. Determine j(1). 0 Let o(z) = -7*z - 143. Give o(7). -192 Let r(c) = c**2 + 25*c - 198. Determine r(-38). 296 Let u(t) = -31*t - 438. What is u(-15)? 27 Let r(n) = 586*n - 1648. Give r(3). 110 Let y(s) = -s**3 - 84*s**2 - 212*s - 3936. Determine y(-82). 0 Let h(j) = 18*j**2 - 616*j + 142. What is h(34)? 6 Let y(f) = -131*f + 762. Give y(6). -24 Let c(s) = -5142*s + 35989. Give c(7). -5 Let n(t) = -26*t - 290. What is n(-19)? 204 Let b(k) = -k**3 + 26*k**2 - 78*k + 118. Determine b(23). -89 Let h(i) = i**2 - 15*i + 44. Give h(12). 8 Let h(a) = 27*a - 90. Give h(3). -9 Let v(a) = a**3 - 25*a**2 + 7*a - 107. What is v(25)? 68 Let a(o) = -2*o**2 + 333*o - 3458. Give a(11). -37 Let u(x) = x**3 - 22*x**2 - 72*x - 64. Give u(25). 11 Let q(c) = -153*c + 736. Determine q(4). 124 Let j(k) = -34*k + 54. Determine j(2). -14 Let h(j) = -j**3 - 3*j**2 + 56*j + 14. Determine h(6). 26 Let p(z) = 304*z + 2153. Calculate p(-7). 25 Let h(m) = 16*m +
{ "pile_set_name": "DM Mathematics" }
M? 353 How many minutes are there between 6:33 AM and 2:23 PM? 470 What is 678 minutes after 1:49 PM? 1:07 AM How many minutes are there between 8:06 PM and 8:20 PM? 14 What is 62 minutes before 4:24 AM? 3:22 AM What is 324 minutes after 2:35 AM? 7:59 AM How many minutes are there between 9:45 PM and 6:29 AM? 524 What is 10 minutes after 9:23 PM? 9:33 PM What is 165 minutes before 7:33 PM? 4:48 PM What is 456 minutes before 2:37 PM? 7:01 AM How many minutes are there between 7:54 AM and 3:42 PM? 468 How many minutes are there between 11:00 PM and 4:32 AM? 332 What is 611 minutes after 8:22 AM? 6:33 PM What is 63 minutes after 4:03 PM? 5:06 PM How many minutes are there between 2:50 PM and 12:35 AM? 585 What is 488 minutes before 3:56 PM? 7:48 AM What is 252 minutes before 7:25 AM? 3:13 AM What is 59 minutes after 6:58 AM? 7:57 AM What is 69 minutes before 2:41 PM? 1:32 PM What is 11 minutes after 2:05 PM? 2:16 PM What is 243 minutes before 4:46 AM? 12:43 AM How many minutes are there between 10:59 PM and 7:11 AM? 492 What is 42 minutes after 10:26 PM? 11:08 PM What is 488 minutes after 2:42 PM? 10:50 PM What is 439 minutes after 9:04 AM? 4:23 PM How many minutes are there between 4:22 PM and 3:03 AM? 641 What is 462 minutes before 4:09 PM? 8:27 AM How many minutes are there between 7:53 PM and 9:25 PM? 92 How many minutes are there between 12:21 PM and 3:17 PM? 176 What is 687 minutes before 12:03 PM? 12:36 AM How many minutes are there between 3:56 AM and 3:11 PM? 675 How many minutes are there between 9:59 PM and 2:05 AM? 246 What is 354 minutes after 5:06 AM? 11:00 AM What is 466 minutes before 3:37 PM? 7:51 AM How many minutes are there between 12:02 AM and 8:03 AM? 481 How many minutes are there between 6:46 PM and 2:57 AM? 491 What is 35 minutes before 6:20 AM? 5:45 AM How many minutes are there between 8:01 PM and 9:58 PM? 117 How many minutes are there between 3:15 AM and 7:30 AM? 255 How many minutes are there between 9:29 AM and 11:51 AM? 142 What is 568 minutes after 6:25 AM? 3:53 PM What is 446 minutes after 2:14 AM? 9:40 AM What is 48 minutes after 7:12 AM? 8:00 AM What is 154 minutes before 6:22 AM? 3:48 AM How many minutes are there between 8:18 AM and 12:33 PM? 255 How many minutes are there between 3:07 PM and 10:05 PM? 418 What is 592 minutes after 11:47 AM? 9:39 PM What is 687 minutes after 5:52 AM? 5:19 PM How many minutes are there between 5:54 PM and 12:32 AM? 398 What is 302 minutes after 8:26 PM? 1:28 AM What is 341 minutes after 7:11 PM? 12:52 AM What is 165 minutes before 2:06 PM? 11:21 AM How many minutes are there between 2:52 PM and 2:56 PM? 4 How many minutes are there between 12:01 AM and 8:13 AM? 492 How many minutes are there between 3:27 PM and 1:16 AM? 589 What is 295 minutes before 11:04 AM? 6:09 AM How many minutes are there between 8:48 PM and 5:57 AM? 549 How many minutes are there between 12:47 AM and 12:12 PM? 685 How many minutes are there between 5:21 AM and 9:18 AM? 237 How many minutes are there between 6:52 AM and 12:37 PM? 345 What is 492 minutes after 5:22 PM? 1:34 AM How many minutes are there between 5:55 AM and 2:45 PM? 530 What is 209 minutes after 2:33 PM? 6:02 PM What is 481 minutes before 6:31 PM? 10:30 AM What is 148 minutes after 1:57 PM? 4:25 PM What is 6 minutes before 10:04 AM? 9:58 AM How many minutes are there between 4:17 PM and 8:17 PM? 240 What is 332 minutes after 2:35 AM? 8:07 AM How many minutes are there between 4:46 AM and 7:05 AM? 139 How many minutes are there between 11:18 AM and 11:56 AM? 38 What is 421 minutes after 7:29 PM? 2:30 AM How many minutes are there between 7:30 PM and 8:37 PM? 67 What is 667 minutes after 1:12 PM? 12:19 AM How many minutes are there between 7:44 AM and 7:34 PM? 710 What is 204 minutes after 10:42 AM? 2:06 PM What is 236 minutes after 2:06 PM? 6:02 PM How many minutes are there between 4:58 PM and 12:34 AM? 456 How many minutes are there between 9:32 AM and 6:22 PM? 530 How many minutes are there between 1:15 PM and 6:35 PM? 320 How many minutes are there between 7:05 PM and 2:09 AM? 424 How many minutes are there between 5:44 PM and 1:22 AM? 458 How many minutes are there between 12:08 AM and 9:55 AM? 587 What is 145 minutes before 8:01 AM? 5:36 AM What is 490 minutes after 6:10 AM? 2:20 PM How many minutes are there between 5:10 PM and 11:09 PM? 359 How many minutes are there between 9:14 PM and 9:23 PM? 9 How many minutes are there between 10:53 AM and 7:30 PM? 517 How many minutes are there between 10:08 PM and 6:29 AM? 501 How many minutes are there between 4:30 AM and 5:26 AM? 56 What is 549 minutes after 4:01 PM? 1:10 AM How many minutes are there between 9:37 AM and 8:13 PM? 636 What is 207 minutes before 10:52 PM? 7:25 PM How many minutes are there between 10:51 PM and 6:44 AM? 473 How many minutes are there between 4:53 AM and 3:23 PM? 630 What is 480 minutes before 12:38 AM? 4:38 PM What is 197 minutes before 9:46 AM? 6:29 AM What is 137 minutes after 2:41 AM? 4:58 AM What is 576 minutes before 7:00 PM? 9:24 AM How many minutes are there between 3:56 PM and 10:50 PM? 414 What is 300 minutes after 10:39 PM? 3:39 AM What is 194 minutes before 12:51 PM? 9:37 AM What is 145 minutes after 4:49 PM? 7:14 PM How many minutes are there between 6:12 AM and 10:16 AM? 244 How many minutes are there between 1:12 AM and 5:24 AM? 252 What is 139 minutes before 5:14 PM? 2:55 PM What is 367 minutes after 2:08 AM? 8:15 AM How many minutes are there between 6:44 AM and 2:44 PM? 480 What is 423 minutes after 1:20 PM? 8:23 PM How many minutes are there between 6:09 AM and 6:19 AM? 10 What is 211 minutes after 3:14 PM? 6:45 PM What is 277 minutes before 8:26 PM? 3:49 PM What is 570 minutes before 4:38 PM? 7:08 AM What is 185 minutes after 12:36 AM? 3:41 AM What is 167 minutes after 5:12 AM? 7:59 AM What is 328 minutes before 11:17 PM? 5:49 PM What is 355 minutes before 3:43 AM? 9:48 PM How many minutes are there between 11:54 PM and 9:26 AM? 572 What is 191 minutes before 10:46 PM? 7:35 PM What is 207 minutes after 9:31 AM? 12:58 PM What is 573 minutes after 11:35 AM? 9:08 PM How many minutes are there between 4:57 AM and 10:50 AM? 353 How many minutes are there between 9:27 AM and 3:39 PM? 372 How many minutes are there between 10:34 AM and 6:16 PM? 462 How many minutes are there between 8:54 AM and 1:49 PM? 295 How many minutes are there between 10:09 AM and 4:37 PM? 388 How many minutes are there between 10:41 AM and 2:51 PM? 250 How many minutes are there between 9:06 PM and 7:23 AM? 617 How many minutes are there between 9:22 AM and 5:12 PM? 470 What is 194 minutes after 3:56 AM? 7:10 AM What is 171 minutes after 2:20 AM? 5:11 AM What is 101 minutes after 9:07 AM? 10:48 AM What is 693 minutes before 9:48 AM? 10:15 PM How many minutes are there between 6:33 AM and 5:25 PM? 652 How many minutes are there between 1:37 PM and 10:04 PM? 507 What is 33 minutes after 4:58 AM? 5:31 AM How many minutes are there between 7:13 PM and 5:31 AM? 618 How many minutes are there between 11:43 PM and 5:11 AM? 328 How many minutes are there between 8:49 AM and 11:28 AM? 159 What is 641 minutes before 7:29 PM? 8:48 AM How many minutes are there between 3:48 AM and 8:08 AM? 260 How many minutes are there between 7:14 AM and 10:51 AM? 217 How many minutes are there between 12:21 AM and 2:28 AM? 127 What is 194 minutes before 7:02 PM? 3:48 PM How many minutes are there between 2:15 PM and 7:35 PM? 320 How many minutes are there between 9:29 AM and 3:28 PM? 359 How many minutes are there between 10:45 AM and 4:08 PM? 323 How many minutes are there between 2:54 AM and 4:24 AM? 90 How many minutes are there between 9:04 AM and 7:59 PM? 655 How many minutes are there between 7:32 PM and 10:46 PM? 194 How many minutes are there between 12:03 AM and 12:45 AM? 42 What is 578 minutes after 3:28 PM? 1:06 AM What is 172 minutes before 6:56 AM? 4:04 AM What is 59 minutes after 1:44 AM? 2:43 AM What is 418 minutes before 7:27 PM? 12:29 PM What is 596 minutes after 10:17 PM? 8:13 AM What is 429 minutes after 10:19 PM? 5:28 AM How many minutes are there between 5:20 PM and 7:58 PM? 158 What is 502 minutes after 5:16 AM? 1:38 PM What is 223 minutes before 6:43 PM? 3:00 PM How many
{ "pile_set_name": "DM Mathematics" }
.2 Which is the nearest to -39/19? (a) 0.5 (b) 11.5 (c) -44 a Which is the nearest to 2/393? (a) -5 (b) -2/5 (c) -1/5 (d) 26.5 (e) -3 c Which is the nearest to -1? (a) -1/2 (b) -0.41 (c) 16/631 (d) -5 a Which is the nearest to -98/3? (a) -1/2 (b) 0.6 (c) -0.122 a What is the closest to -6 in -0.07, 38, -3/2, 206? -3/2 Which is the closest to 1? (a) -3/2 (b) 0.1 (c) 5/258 (d) -23.2 (e) -4/5 b Which is the closest to -2/183? (a) -0.2 (b) -1 (c) 8/1873 c What is the nearest to -2/73 in 26/19, -0.065, 3, 0.5? -0.065 Which is the nearest to 0.02? (a) 1/15 (b) -0.04 (c) 1/16 (d) -2 (e) 4 c What is the nearest to 0.3 in -4, -13091, 2, 4, -0.4? -0.4 What is the closest to 3 in 4.06, -886, -4, -0.4, -0.1? 4.06 Which is the closest to 1? (a) -5 (b) 14 (c) 10/7 (d) -15524 c What is the nearest to 158 in 2/83, -5, -0.4, 16, 1/12? 16 What is the closest to 5 in -5/12, -19, 0.4, 3/56? 0.4 Which is the nearest to -2? (a) 0.3 (b) 77 (c) -303887 a What is the closest to -2/9 in 1638, -0.898, 0.6? -0.898 Which is the nearest to -2? (a) -1/107 (b) -3 (c) 0.1 (d) -387 (e) 0.07 (f) -2 f What is the closest to -2 in 0.0212, 3.7, 1/12, 0, 0.1? 0 Which is the nearest to -16.7? (a) 2/313 (b) -4 (c) 1 (d) -2/9 b Which is the closest to -123? (a) -2/11 (b) 1 (c) -18 (d) -331 c What is the nearest to -1 in -38, 13/333, -124? 13/333 Which is the nearest to 0.1? (a) -1/6 (b) 292 (c) 2 (d) -34/11 (e) 1/6 e Which is the nearest to 1/1889? (a) 3 (b) -5 (c) -207 a Which is the nearest to 11? (a) -46/93 (b) -18 (c) -2/9 c Which is the closest to -1? (a) 54 (b) 0 (c) -2/19 (d) -2/13 (e) -43.96 d Which is the closest to -2/7? (a) 12 (b) 5/4 (c) 171.3 (d) 0.1 d Which is the nearest to 13? (a) 27/635 (b) -3 (c) -0.4 a What is the closest to -868/3 in -0.08, -4, -2, 27, 5? -4 What is the closest to 3 in -2/9, -325/9, -1, 0.5, 1? 1 Which is the nearest to 0.03? (a) -2 (b) 5621 (c) 84 a What is the nearest to -749.7 in 2, -0.1, -1, -0.2, -5? -5 What is the nearest to -1.73 in 5, 13, 10, -2/7? -2/7 What is the nearest to 2.6 in 3, 2/17, -2/79, 1/10, -3? 3 What is the nearest to -2 in -7081, -17, -5? -5 Which is the closest to -0.1? (a) 0.8 (b) 478 (c) -0.9 (d) 0.1 (e) 0 e Which is the closest to -3? (a) -13496 (b) -1 (c) 0.06 (d) -3 d What is the closest to 2/9 in -3/4, 2/7, 6390638? 2/7 What is the nearest to 0 in 3/8, -535, 0, -1.015? 0 What is the closest to -0.2 in 1, 4, -0.082, -2, -0.28, -1/6? -1/6 What is the closest to 0.1 in 3, 1, -497, -8.2, -5, -2? 1 Which is the nearest to -0.2? (a) 239/176 (b) 3 (c) -1.1 c Which is the nearest to 0? (a) -1/3815 (b) -1 (c) -0.0448 a Which is the closest to -0.064? (a) 0.328 (b) 0.03 (c) 2/11 b What is the closest to -4/29 in 1/10, -4673, 2, 0? 0 Which is the nearest to -1? (a) -0.03 (b) 0.0495 (c) 2 (d) 116 (e) 5 a What is the nearest to -1/14 in -0.04, 1/5, -2/5, 4, 793? -0.04 Which is the nearest to 5? (a) 0.1 (b) -375 (c) -6/5 (d) -2/3 (e) 2/15 (f) 137 e Which is the closest to 384/11? (a) -3/7 (b) -0.5 (c) 5 (d) -162 c Which is the closest to 1? (a) 4/3319 (b) -3/37 (c) 30 (d) 4 (e) 0 a Which is the nearest to -36? (a) 2/3 (b) -2/9 (c) -18 (d) -14 c Which is the nearest to -2? (a) 31 (b) -1 (c) 85 (d) 18 b What is the nearest to -119 in 0.1, -42, 0.3, -54/19, -0.1, -3? -42 What is the closest to 3 in -0.1189, -34, 0.102, 1/6, -3? 1/6 Which is the nearest to -5? (a) 8208 (b) -3 (c) -0.11 b What is the nearest to -1 in 5, -7/2, 0.09, 12.7, -2? -2 What is the nearest to -133 in -0.09, 4/7, 1/4, 8, -4? -4 What is the nearest to -0.04 in -1426, -3, 4/3, -726? 4/3 Which is the closest to -14/9? (a) 0.34 (b) 2/87 (c) 6 b Which is the nearest to 2? (a) -2/3 (b) 1430600 (c) 1/2 (d) 1/5 c Which is the closest to 43525? (a) 6 (b) 134 (c) -0.3 b What is the closest to 0.04 in -3/28, -1/9, 1.2, -3, -0.03? -0.03 What is the nearest to 12617 in 3/7, 0, -1? 3/7 Which is the nearest to 1? (a) 2/3 (b) 3 (c) -342/41 (d) -1/13 (e) 0 a What is the nearest to 2 in 5, -1/4, -1/7, 0.5, -205? 0.5 What is the nearest to 1/2 in 1.3, -7491, 3, 2/9? 2/9 Which is the nearest to 0? (a) -1343 (b) -0.01 (c) -0.33 (d) -3 b What is the closest to 1 in 2915, -0.07, -1/3, 2/5, 0.07, -3/4? 2/5 Which is the closest to 4? (a) -1/3 (b) 34 (c) -212 a Which is the nearest to -2? (a) 0.5 (b) 132 (c) -7/290 c Which is the nearest to -0.2? (a) -1 (b) -43 (c) -1.6 (d) 0.2 (e) -99 (f) 0.4 d Which is the closest to 3? (a) 4 (b) 0.9 (c) 2/11 (d) 53875 (e) -4 (f) 0.4 a Which is the closest to -8? (a) 0.4 (b) 12 (c) 2/9 (d) 2 (e) -904 c What is the closest to 2/597 in -0.3, 1, 771/5? -0.3 Which is the closest to -7? (a) -2 (b) 7/2 (c) -3/7 (d) -22/3 (e) -0.069 d Which is the closest to 0.1? (a) 35387 (b) 1 (c) -2/9 (d) 5 (e) 3 (f) 2 c Which is the nearest to -1? (a) -235312 (b) -0.05 (c) 16/5 b Which is the closest to 0? (a) -21 (b) -1 (c) -0.2 (d) 143 (e) -2 (f) -0.5 c What is the nearest to 1 in -1, -21, -2/7, -2/381? -2/381 What is the nearest to 0.2 in -2168, 1, -0.2, 124? -0.2 What is the nearest to 3/11 in 0.1, -2/51, -0.8, -0.3, -2.7? 0.1 What is the nearest to 1 in -1/6, -37, 1719, 1, -0.03? 1 What is the nearest to -0.1 in 23, 0.4, 0.62, -32, 0.021? 0.021 What is the closest to -72 in 16.2, -161, -0.2? -0.2 What is the closest to 56 in 0.4, -11695, -0.1, -2/7? 0.4 Which is the closest to -2/3? (a) -5 (b) -2853/5 (c) -30/13 c What is the nearest to -2/9979 in 0.3, 7, 0.2, 3? 0.2 Which is the nearest to -0.4? (a) -1/27 (b) 2409 (c) 3 (d) 4 (e) -5 a Which is the closest to 2/23? (a) 1/8 (b) 267 (c) -0.3 (d) -2 (e) -2/13 a Which is the closest to 1? (a) -0.7 (b) -0.1 (c) 640037 (d) 0.2 d Which is the closest to 2.1? (a) 6.1 (b) 1/9 (c) 4/9 (d) 243/50 c What is the closest to 0.033 in 24245, 11, 3? 3 What is the closest to -2 in 0.4, 0.1, 4, -30086/5, 0.2? 0.1 Which is the closest to 1? (a) 5/2 (b) 1/4 (c) -0.028 (d) -2 (e) -6 b What is the nearest to 18 in 15/8, -1/13, 1/4, 0.08, 1? 15/8 Which is the nearest to 1426? (a) 1 (b) -0.04 (c) 2 (d) -1 (e) -0.3 c Which is the closest to 5468? (a) -6 (b) 15 (c) -3 b Which is the nearest to 0.02? (a) -0.1 (b) 3451 (c) 69 a Which is the closest to 174? (a) 0.5 (b) -5 (c) -10055 a Which is the nearest to -1/4? (a) 63 (b) 94 (c) 0.5 c What is the nearest to 0.4 in 1, 1/4, -0.03943241? 1/4 What is the closest to -0.5 in -1/5, -0.3, 690933? -0.3 Which is the closest to -15? (a) -1836 (b) -0.2 (c) 2/5 (d) 5 b Which is the closest to 0.1? (a) 5 (b) -38 (c) 3 (d) 4 (e) 9 c Which is the closest to 4/11903? (a) 0 (b) -7/3 (c) -2 (d) 0.1 (e) 2/3 a What is the nearest to -2/5 in 260.6, 1/6, 3, -36? 1/6 Which is the nearest to -8? (a) -4 (b) 6/19 (c) -1/7 (d) -1 (e) -117.4 a What is the nearest to -2 in 8, 85.19, -5, -0.5, -45/7? -0.5 What is the nearest to 5 in 0, 0.11, 6/7, 586? 6/7 What is the nearest to -0.31 in 0.45, 1/3, -78, -2/9, -0.02? -2/9 What is the nearest to 412 in -0.2, 2/5, 5, -103, -6/13? 5 Which is the nearest to 21569? (a) -5 (b) 2/3 (c) -0.1 b What is the nearest to -0.1 in -0.02, 90, -16? -0.02 What is the closest to -3 in 5, -5, 7.7373? -5 Which is the nearest to 1/3? (a) 0 (b) -41 (c) 62.3 (d) -0.025 a Which is the nearest to 1.06? (a) -1 (b) 2/13 (c) 222 (d) -1/3 (e) 4 (f) 0 b What is the closest to 5 in 3/2, 1261, -18, -1, -2/5, -2/3? 3/2 Which is the nearest to -0.5? (a) -4 (b) 0.2 (c) -36288 (d) -0.4 d Which is the nearest to -0.06? (a) -6 (b) -914 (c) -8/43 c Which is the closest to 19? (a) -5/3 (b) -3/2 (c) -0.08 (d) -2/5 (e) 10 (f) 0.01 e Which is the nearest to -0.1? (a) -2/7 (b) 0.2 (c) -696490 a What is the nearest to 0.1 in -134, 5, -0.46, -1.4, 3? -0.46 Which is the closest to -1/4? (a) 4379627 (b) -9 (c) 1/2 c What is the nearest to -2/3 in 1/2, -0.05, 0, 2/15, 11534? -0.05 Which is the nearest to 25548? (a) 0.5 (b) -3/757 (c) -0.2 a Which is the nearest to -76964? (a) 5/8 (b) 3 (c) -5 c Which is the nearest to 1/10? (a) 3 (b) -61 (c) 28/27 c What is the nearest to 2 in 3/1321, 0.1, -0.6, -1/11, -0.1? 0.1 What is the nearest to 5
{ "pile_set_name": "DM Mathematics" }
multiple of r(-9) and x? 15 Calculate the lowest common multiple of (-8 + (9 - 3))/((-2)/394) and 10. 1970 Let c be (790/14 - -2) + 45/(-105). Let j = 68 - c. Calculate the least common multiple of 18 and j. 90 What is the common denominator of 2 + (0 - (-3 + -8))/(-9) and -99/140? 1260 Let s be -12*(0 - (-44)/3). Find the common denominator of (s/(-32))/(26/(-20)) and 21/5. 65 Suppose -3*c + 3*f = -2*f + 8080, -f + 2690 = -c. Let z = c - -13363/5. Calculate the common denominator of -53/10 and z. 10 Let d be ((-4)/(-12))/((-5)/(-15)). Suppose -v = d - 17. What is the least common multiple of (18/(-15))/(3/(-10)) and v? 16 Let o = 17203/8 + -2160. Let f be 2 + -1 + 0 + 1. Calculate the common denominator of 1035/162 - f/9 and o. 24 Let a = -11 - -46. Find the common denominator of -85/38 and (-20)/a + 814/(-168). 228 Let o(a) = a**2 - 1. Let u be o(-1). Let d(r) = -3 + 4 + 2 + r + 5. Calculate the smallest common multiple of d(u) and 16. 16 Suppose 1 = 3*r - 20. Suppose -y - r = -11. Calculate the smallest common multiple of y and 4. 4 Let y = -12 + 32. Let a = y - -18. What is the smallest common multiple of a and 8? 152 Let r = -3 - -13. Let b = 43 - 40. Let t(l) = 6*l - 8. What is the least common multiple of r and t(b)? 10 Let x be ((-3)/9 - 1)*174/4. Let t = 91 + x. Calculate the lowest common multiple of 24 and t. 264 Suppose -43 = -4*l - 5*f - 50, -l = 4*f + 10. Calculate the lowest common multiple of l and 76. 76 Let t be ((-15)/(-45))/(1/18). Suppose t*x - 16 = 2*x. Let j = 4 - -3. Calculate the least common multiple of x and j. 28 What is the common denominator of ((-210)/(-25) + 5)/(189/35) and -85/24? 216 Suppose 0 = 4*o + j - 49, -21 = -4*o + j + 18. Calculate the lowest common multiple of 46 and o. 506 Calculate the smallest common multiple of 7 and (18/(-6))/((-6)/14). 7 Let v(u) = 12*u**2 - 7*u + 5. Let h = -17 - 14. Let x = h + 45. Calculate the smallest common multiple of v(1) and x. 70 Calculate the common denominator of 6/100*267/(-9) and -41/40. 200 Find the common denominator of -91/16 and (282/(-100))/(528/(-220)). 80 Let d be (-8)/20 - (-42874)/15960. Let z = d + -27/133. Find the common denominator of z and -103/30. 60 Calculate the common denominator of ((-732)/(-170))/(-3)*10/20 and 81/4. 340 Let r(f) = 0 + 4 + 9*f**2 - 4. Let q be r(1). What is the smallest common multiple of 11 and (-1)/(26/q + -3)? 99 Let c = 9 + 11. Suppose -11*q + 35 = -4*q. Suppose -4*x - q*z + 218 = 0, 4*x = 3*x - 4*z + 60. What is the least common multiple of x and c? 260 Let n be (4 + 2 + -5)*3. Suppose 5*u - n*q + 146 = 0, -2*q + 142 = -5*u - q. Find the common denominator of 21/49 + (-457)/u and 7/12. 12 Let a = -5736 + 751412/131. Let t = a - -544/655. Find the common denominator of -25/3 and t. 15 Let h = 265 - 616. Let w be h/(-12) - 3/(-4). Suppose 2*m - w = -6. Calculate the lowest common multiple of m and 4. 12 Let j = -39 - -66. Let m = j - 7. Suppose -b = b - m. What is the smallest common multiple of b and 10? 10 Suppose 0 = -2*g - 2, 983 + 492 = 5*r + 5*g. Calculate the lowest common multiple of 333 and r. 2664 Let w(l) = 440*l + 17. Let d be 26/8*20/5. Let o be w(d). Let q = 126241/22 - o. Find the common denominator of q and 63/4. 44 Suppose -3*k = -4*x - k + 108, -2*x - 5*k + 54 = 0. Calculate the smallest common multiple of 45 and x. 135 What is the common denominator of -10/441 and (-9)/27 + -15*(-15)/10? 882 What is the smallest common multiple of 77 and (-33 + 26)*(-66)/14? 231 Let t = 113 + -110. What is the common denominator of -47/21 and (13 + -72)/(t*3)? 63 Suppose 4*g - 21 = 35. What is the least common multiple of 9 - (-5 - -1 - -7) and g? 42 Let k(y) = 2*y + 9. What is the lowest common multiple of 9 and k(0)? 9 Suppose -3*p - 13*b + 8*b = -13, 0 = -5*p - 3*b + 27. What is the smallest common multiple of 2 and p? 6 Suppose -4*j - 5*r = -393, 2*r = -0*r + 10. Suppose 4*y + 5*p - j = 163, 5*y = 3*p + 291. Calculate the common denominator of -38/13 and (0 - y/(-8))/(-1). 26 Find the common denominator of 65/22 and (213/(-36) - -6)*-35. 132 Let c(z) be the second derivative of 7*z**3/3 - z**2 - 5*z. What is the least common multiple of c(1) and 18? 36 Suppose t = 2 - 6. Let l be (1*-4)/(6 + t). What is the common denominator of (-34)/14 + 2/l and 33/2? 14 Let u = -7/24 - -359/120. What is the common denominator of u and 77/2? 10 Let t = 7745/889 - 36/127. Let d = -161272935223/1510 + 106803276. Let b = d - -9/151. Calculate the common denominator of t and b. 70 Let h = 67847/10 + -6794. Suppose 3*n + 40 = -2*n. What is the common denominator of 0 + 83/n - -2 and h? 40 Let s = -23 - -11. Let x(a) = a + 15. What is the least common multiple of 6 and x(s)? 6 Calculate the common denominator of 12/(-226)*(-156)/(-1560) and -7/6. 3390 Suppose -5*k + b = -238, 6*b + 186 = 4*k + 3*b. Calculate the smallest common multiple of k and 32. 96 Suppose -6*k + k - 50 = 0. Calculate the common denominator of 33/8 and (-16)/k*25/110. 88 Let d = 20 - 57. Let j = d + 38. Let x = -6 + 13. What is the least common multiple of j and x? 7 Suppose -u + 95 = 3*r, 3*r - 100 = 37*u - 39*u. Calculate the smallest common multiple of (-47 - -2)*(-3)/9 and r. 30 Let h be (-18)/14 + 1 + (-16140)/(-189). Let v = -11093/126 + h. What is the common denominator of 58/7 and v? 14 Let b = -5744 - -155066/27. Calculate the common denominator of -52/21 and b. 189 Suppose -3*i - 2*k = -35, 3*k + 40 = i - 2*k. Suppose n = -4*n + i. What is the least common multiple of 2 and n? 6 Let k(s) = -s**2 - s + 20. Suppose -5*d = 2*d - 28. Suppose -d*q + 75 = 19. What is the lowest common multiple of k(0) and q? 140 Let a be (-2)/(-6)*10*3. Suppose -2*z + 3 + 3 = 0. Suppose u = 3*u - 4*i - 6, z*u = 5*i + a. What is the least common multiple of 3 and u? 15 Let b = -16 + 23. Let d(h) = 5*h - 34. What is the lowest common multiple of b and d(9)? 77 Let w = -949141 - -775447819/817. Let b = w + 132341/44118. Find the common denominator of -73/42 and b. 378 Let y = -2595/2 - -1303. Calculate the common denominator of y and 346/(-280) - 4/(-14). 20 Let p = 734 + -657. Calculate the smallest common multiple of 22 and p. 154 Suppose 2*i - 82 + 26 = 0. What is the common denominator of i and -37/7? 7 What is the smallest common multiple of (38 + -3 + -2)/3 and (1 + 9)/(-1 - -2)? 110 Suppose -3*o + 0*o = -15. What is the lowest common multiple of o and ((-45)/(-1))/(-9) + (1 - -10)? 30 Let u = 25072 + -13469. Let b = -382817/33 + u. What is the common denominator of b and -67/15? 165 Calculate the common denominator of 2/7 and (-34)/(-153) + (-767)/90. 70 Let t(s) = -2 + 2*s - 11*s + 4*s. Calculate the lowest common multiple of 2 and t(-2). 8 Let a(t) = 2*t**2 - 14*t - 15. Let j be a(-10). What is the common denominator of ((-92)/(-10))/((-156)/j) and 29/18? 18 Suppose 0 = -7*b - 4 + 18. Suppose -2*y + 1 - 7 = -4*z, -5*z + b*y + 7 = 0. Suppose -4*l + z = -27. Calculate the smallest common multiple of l and 10. 70 Let s be (12/8 + -2)/((-1)/(-10)). Calculate the common denominator of 309/(-96)*((-80)/12)/s and 79/18. 72 Let q(r) = -2*r**2 - 2*r**2 + 4*r**2 - r**2 - 2 + 6*r. Calculate the lowest common multiple of 1 and q(4). 6 Let s(m) = -10*m**2. Let d be s(1). Let j = 21 + d. Let l = 15 - 7. Calculate the lowest common multiple of l and j. 88 Let a be (-147)/(-3)*1/(-1). What is the common denominator of 32/3 and 197/310 - (a/(-35))/7? 186 Let d = 48 - 34. What is the common denominator of (-3 + (-52)/(-28))*d/(-30) and 149/6? 30 Find the common denominator of 71/48 and (-4)/24*(-127)/7. 336 Let s = -73 - -64. Let w = 1742/425 + 1/850. Calculate the common denominator of 862/(-180) + s/15 and w. 90 Suppose 2*h + 3*h - 120 = 0. Let l = 3766 + -3730. Calculate the least common multiple of h and l. 72 Let p(n) = -3*n - 2. Let q be p(0). Calculate the common denominator of -131/6 and (-1)/q - 438/324. 54 Suppose 0 = 6*k - 1086 - 480. What is the least common multiple of k and 319? 2871 Let b be (-9)/(-12) - 427/4. Find the common denominator of 1/(-7)*b/(-4) and (-182)/(-40) - (-3)/5. 140 Let s be (6 - 0)/(3/4). Suppose 0 = x - 3*x + s. Suppose x*f = -4*c + 36, 3*c + 0*c = -2*f + 22. Calculate the least common multiple of 2 and f. 10 Suppose -n + 7 = d, 0*d + 14 = 2*d + 3*n. W
{ "pile_set_name": "DM Mathematics" }
Let b be (6/4)/((-5)/(-10)). Suppose -2*n = -3*g + 12, 13 = -2*g - 4*n + 5. Suppose -4*o - b = k, -g*k = -6*k - 12. Is 0 greater than o? False Let r be -1 + 489/30 - (-1)/5. Is r less than 17? True Let u = 14 - 12. Which is greater: u or 1? u Let t be (-2)/(-4) + 11/(-2). Suppose 0 = 7*k - 11*k - 20. Is t less than k? False Let g be 112/24*3/(-2). Which is smaller: -1 or g? g Let c = -18 + 14. Which is smaller: 3 or c? c Suppose 0 = -4*u - 3*u. Is -6/13 bigger than u? False Suppose -3*j = 3*y + y + 5, 2*j = -y. Let c = 333/4 + -84. Is y not equal to c? True Suppose -3*s + 3*i = -24, s + 17 = -7*i + 3*i. Let z(w) = w**2 - w - 8. Let m be z(0). Let d = -6 - m. Which is smaller: s or d? d Suppose 3*n + 4 = -2*r - 2*r, -2*n - 6 = r. Let v be n/14 + (-9)/(-7). Let s = 2 - 1. Is v less than or equal to s? True Let s(t) = t - 4. Let q be -1 - (3 + 4*-2). Let y be s(q). Let o be 2/8 - (-3)/20. Which is greater: y or o? o Let c be (-3)/(-10)*(-22)/33. Let r(d) = -d - 6. Let w be r(-9). Let i = w - 4. Is c < i? False Let b be ((-2)/30*2)/(-2 - -3). Let a be 2/(-6)*9/(-3). Is b greater than or equal to a? False Let h = -6115/29 + 211. Is h greater than or equal to -1? True Let j be 2 + -3 - (-1742)/(-10). Let b = j - -176. Is b smaller than 2? True Let m = 96/5 + -19. Which is greater: m or 0.1? m Let n(p) = p**3 - p**2 - p + 1. Let t be n(1). Is t <= -1/16? False Suppose -v + 5*n + 4 = 0, 0 = -4*v + 3*n + 9 + 24. Let h = v - 10. Let i(z) = z**3 - z**2 - z - 1. Let s be i(-1). Is s at most h? True Let y = -6 + 13/2. Which is smaller: 5 or y? y Let b(i) = 5*i - 14. Let a be b(9). Suppose 4*r + 37 = -3*l, -6*l + l + r = a. Which is bigger: -8 or l? l Suppose 5*m - 4*m = -9. Suppose 0 = 5*u + 4*l + 70, -u - 45 = 3*u + l. Is u bigger than m? False Let l(r) = -7*r**2 - 12*r - 1. Let g(k) = 4*k**2 + 6*k + 1. Let c(s) = 5*g(s) + 3*l(s). Let d be c(-7). Let b = 9 + d. Is b greater than -0.1? True Let p be (-5)/3*(-2)/10. Suppose 4 - 7 = -3*i. Which is greater: i or p? i Suppose -2*w + 4*w - 4*s = -38, -w + 2 = 5*s. Is w greater than -14? True Let n = 0.5 - 2.5. Let u = -50.4 - -51. Which is smaller: n or u? n Let i = 0 - -2. Let k be ((-4)/(-1) + 0)/i. Does k = 0? False Let l be ((-33)/(-315))/((-4)/10). Let r = l + -1/42. Suppose 5*g + 4*a + 6 + 9 = 0, 2*a = -10. Which is bigger: r or g? g Let b be ((-4)/16)/((-141)/(-12)). Is b bigger than 0? False Let m(h) = h**3 + 3*h**2 - 2*h - 1. Let k be m(-4). Let q be 2/k - 2/9. Which is greater: q or 0? 0 Let y = 55/2 - 27. Suppose -2*r - 43 = -15. Let a = 10 + r. Which is greater: y or a? y Let x = 10.53 + 0.57. Let d = 11 - x. Which is smaller: d or -0.03? d Suppose 0 = 4*b - 2*b - 5*q + 13, -5*q - 44 = b. Which is bigger: b or -17? -17 Let j(h) = 2*h**3 + 14*h**2 + 3*h + 13. Let q be j(-7). Let y(v) = -v**2 - 4*v + 4. Let w be y(-6). Is w greater than or equal to q? True Let p be (-4)/(-20) + 115/(-700). Which is smaller: 1 or p? p Suppose g - 3*v = 16, 0 = -4*g + 6*v - v + 29. Suppose 5*o - 26 - 9 = 0. Let n(k) = k - 6. Let s be n(o). Is s at most as big as g? True Let g = 3 - 0. Suppose -g*s - 105 = -8*s. Suppose -7*z = -2*z + 4*f, -z + s = 5*f. Is z greater than -4? False Let j = -211 + 626/3. Let o(d) = d**2 - 6*d + 2. Let q be o(5). Is j at most q? False Let o = -165 + 166.33. Let y = o - -0.7. Let w = -0.03 + y. Is 1 less than or equal to w? True Let f = 4 - 4. Suppose -5 = 4*a + a, -2*b - 4*a - 6 = f. Let u be (0 - 2)/2*b. Which is bigger: u or 1/4? u Suppose -2*p + 2*n - 3*n + 7 = 0, 4*p + 3*n - 17 = 0. Let r be ((-2)/6)/(p/(-18)). Which is greater: 5/2 or r? r Let w be (1*(-18)/27)/((-2)/54). Is w less than 15? False Let j = 1/30 + -7/10. Do j and -2/49 have different values? True Let y be (-2)/(-5) - 33/(-55). Suppose 5*o + 0*s + y = s, 3*s + 9 = 3*o. Which is greater: 3 or o? 3 Let z be (1 + -1)*(-1 + 0). Let m(b) = 6*b + 0 + 1 + z. Let q be m(-1). Is -4 not equal to q? True Let r = 24 + -23. Which is greater: r or 0.04? r Let r = -93 + 122. Is -3 > r? False Let q be (-2)/(-4)*(-6)/15. Let o be ((-3)/(-1))/(18/30). Suppose -4*w = -i - 2*i + 11, -3*w - 22 = -o*i. Which is greater: q or w? w Suppose -z = -5*z. Are z and 3/4 equal? False Let g = -27371/20 + 1370. Let a = g + -6/5. Let h = 12.8 - 13. Which is greater: h or a? a Let t be (2 - 1 - -4) + 0. Let g be 8/24 - t/6. Is -2 >= g? False Let x = -6 - -10. Let u = -3 + x. Does 6 = u? False Let b = -216 - -243. Are -1/2 and b unequal? True Suppose -6 = -3*k - 0. Let a be (-1 - -3)*k/(-14). Let v = 4 - 5. Is v less than or equal to a? True Suppose 5*m - 36 = -11, -4*l - 27 = -3*m. Let r = -11 - -7. Which is greater: l or r? l Suppose 3*z + 0*z + 3 = 0. Let t = 3 - 4. Does z = t? True Let c = 1.07 - 0.07. Let d = 2 - c. Which is smaller: d or 0.2? 0.2 Let k be 1/6*10*3/(-2). Let m(z) = -z**3 - z**2 - z - 4. Let c be m(0). Which is bigger: c or k? k Let z be 5/(-2)*8/(-30). Let p = 20.8 - 21. Is p greater than z? False Suppose 37 = -4*s - 35. Let f(t) = t**2 + 17*t - 21. Let x be f(s). Let h be (3/4)/((-1)/4). Are h and x nonequal? False Let o = 1964/9 + -218. Let y = 0.067 - 0.167. Which is smaller: y or o? y Let v be 5/20 + (-14)/(-8). Suppose q + 3*q + 16 = -v*n, 0 = 5*q + 5*n + 30. Is 8 bigger than q? True Let d be 1/3*5/(-25). Which is greater: 1 or d? 1 Let p = 5 - -19. Let x = 23 - p. Is -9/10 equal to x? False Suppose 0 = -4*s + 11 + 5. Suppose -j = s*l + 3 + 2, -l + 10 = -2*j. Let y be -1 - 1/(1 + l). Is y at most -2? True Let p(g) = g**3 - g. Let y(z) = 2*z**3 - 7*z**2 - 10*z + 6. Let q(k) = -3*p(k) + y(k). Let l be q(-6). Let u be 13/(-4) + (-9)/l. Is u at most -3? True Let a be 1154/(-10)*(-1)/(-5). Suppose 0 = 5*z + 77 + 38. Let u = a - z. Which is smaller: 0 or u? u Let h(d) = -d + 2. Let f be h(4). Is f equal to -9/13? False Let o be (2/(-1))/((-4515)/1526). Let l = 25 + -5377/215. Let j = o + l. Do j and 2 have the same value? False Let i be -1 - (3 - (3 - 0)). Let k be i + (3 - 2)/1. Are k and -1 unequal? True Let h = -73 - -71. Which is smaller: -6 or h? -6 Let a = -4.665 - 0.035. Let q = 0.09 + 4.91. Let h = q + a. Which is bigger: 1/3 or h? 1/3 Let a = -2 + 3. Let g be a*2*1/8. Let x = -3 + 2. Which is bigger: x or g? g Let r(u) = -u - 12. Let z be r(-10). Let d be (-16)/36 - z/6. Which is greater: -1 or d? d Let z = 2.7 + -3. Let g = -0.04 - 0.26. Is g < z? False Let f(k) = -k**2 - 8*k - 6. Let b be f(-5). Suppose -i + 4*n = b, 5*i = -2*n + 3*n + 12. Suppose 2*j - 3*y - 10 = 0, i*y + 20 = -2*y. Is -1 at most j? True Suppose -t + 0*t + 3 = 5*d, t = -2*d + 3. Suppose -5*k = -2*u + 11, -u + d*u - 2*k = -1. Suppose 0 = 4*a + b - 9, -2*a - b + 2 = -u*b. Which is smaller: 1 or a? 1 Suppose -2*q + 14 = 4*c + 4, 2*c - 20 = -4*q. Let z(u) = -u**2 - 2*u + 3. Let m be z(-3). Is c < m? False Suppose 0 = 5*j - 0*j - 10. Is 7/3 < j? False Let f = 0.029 - 1.029. Is f not equal to 0.27? True Let b = 443267/39 - 11365. Let j = b + -2/3. Let h be 2/7 + 5/7. Is h >= j? True Let t be 2 + (1 + 0)/(-5). Let x = t - 73/35. Is 0 bigger than x? True Let y be 1*(1 + 0) - 0. Let w be -1*6/(-8) - y. Which is smaller: w or -1? -1 Let p be 24/8*6/153. Is -1/2 smaller than p? True Let x = -1 + 2. Suppose n = 3*u, -n - 3*n - 2*u + 14 = 0. Which is greater: x or n? n Let z = -0.3 - -0.38. Let x = 0.13 - -0.87. Is x not equal to z? True Let s be (12/(-9))/(5/(-6)). Is s at most 3? True Let l = 6104/129 - -2/129. Let x = l - 47. Suppose -w = -0*w. Which is smaller: x or w? w Let i = 1/37 - 188/111. Is i greater than or equal to -1? False Let p = -0.2 - -1.2. Let x = 0.07 - -1.13. Let h = x - p. Which is greater: -0.1 or h? h Let j = 6.138 + 0.832. Let f = j + 0.03. Let i = -6.9 + f. Are i and 1/2 nonequal? True Let f = 1.96 + -1.7. Let w = f + 0.04. Let r = w - 0.2. Is r greater than or equal to 1/4? False Suppose -5*s + 10 = -10. Is s >= 4? True Let v = -5 + 8. Let c be 2204/(-22) - v*-1. Let f = c - -97. Is f less than 0? True Suppose -6*m - 5 = -5*m. Which is bigger: -4 or m? -4 Suppose 5*y - 16 = 4*w, -4*w + 0*w = -3*y + 16. Suppose -h + 3*a + 11 = y, -2*a = 5*h - 5*a - 31. Is h >= 6? False Let a = -4/13 + 63/247. Is 0 equal to a? False Let l = 34 + -100/3. Let g = l + 0. Is g bigger than 0.3? True Let z = 0.5 + -0.8. Let r = -1.5 + 2. Let i = 0.5 + r. Is z less t
{ "pile_set_name": "DM Mathematics" }
is the third smallest value in 1, -0.6, o, f? f Suppose 1050 = n + 13*n. Let j be (4 - 2)*(n/(-36))/(-5). Let f = 14 + -13.8. Which is the second biggest value? (a) f (b) 1 (c) j c Let k = -9785 - -9865. What is the smallest value in -2/13, -2, 0, k, -0.1? -2 Let c(s) = 14*s**2 - 7*s**2 - 7*s**2 - s**3 - 5 - 2*s**2. Let g be c(-3). What is the smallest value in -2, g, -0.066? -2 Let n = -5 + 5. Let c = -236 + 2135/9. Let l = -1 + c. What is the third smallest value in l, n, -0.4? l Let x = -11.994 - 3.006. Let i(c) = c**2 + 2*c - 6. Let f be i(-5). Let h be 2/8 - f/20. What is the fourth smallest value in h, x, 3, -5? 3 Let x = 99.033 - 99. Let h = x + -0.233. Let o = -97 + 391/4. What is the biggest value in h, 0.2, 1, o? 1 Suppose -84 = -7*r + 4*r. Let x be 12 - (9 - 12/2). Let i be (1/x)/((-2)/4). Which is the fourth biggest value? (a) 1/4 (b) 0 (c) i (d) r c Let n be (-2)/(-8) - 1308/(-16). Let v = n - 491/6. Let f = -903/2 - -4511/10. What is the second smallest value in f, 3/4, v? v Let u = -943 - -943.4. Which is the second biggest value? (a) -4 (b) u (c) -348 a Let q = -3285 - -3285.3. Which is the third biggest value? (a) 4/11 (b) q (c) -2/3 c Let h = 329 - 332.2. Let w = h - -3.3. Which is the second biggest value? (a) 4 (b) w (c) -5 b Let r = 604 + -604.026. Let t = r + 0.526. Let k(x) = x - 3. Let i be k(4). What is the fourth smallest value in -2, t, i, -6? i Suppose -4*p = -8, -2*p + 10 = -0*v + 3*v. Let w = 2.72 - 3.62. Let n = 0.1 - w. Which is the biggest value? (a) v (b) n (c) 4 (d) 0.03 c Let u = 1.83322 - -0.16678. Which is the biggest value? (a) -3 (b) u (c) 406 c Let s = -23.596 + 23.52. Which is the second biggest value? (a) s (b) -0.4 (c) 2/7 a Let a(k) = k**2 - 120*k + 869. Let l be a(8). What is the third biggest value in l, -0.2, 3? l Let g = 12 + -7. Let k = -28 - -24.3. Let t = -8.7 - k. Which is the second smallest value? (a) t (b) 0.08 (c) g (d) 3 b Let p = 72.474 + -69.474. Let g = 0.2 + -3.2. What is the smallest value in g, 4/3, 1/2, p? g Let q = 24059.7 + -24060. Which is the biggest value? (a) 0.1 (b) 1/2 (c) -0.015 (d) -3 (e) q b Suppose 33*z + 1942 - 1153 + 2247 = 0. What is the second biggest value in -2, -5, z? -5 Suppose -5*j - 132 = f, 2*f + 1 + 3 = 0. Suppose 3*z - 4*z = 0. Let i be (-1)/(-3)*((-12)/j + z). Which is the third smallest value? (a) i (b) 3 (c) -2/3 b Let g be (2 - (-333)/(-174))*(252/30 + -6). What is the biggest value in -2, 4, -19, g? 4 Suppose -7809*z = -7850*z. Which is the third biggest value? (a) z (b) -0.1 (c) -326 (d) 0.1 (e) -3 b Let f(u) = u**3 - 15*u**2 + u + 15. Let g be f(15). Which is the third smallest value? (a) 0.5 (b) 22/5 (c) -5 (d) g b Let c = -1.1 - -5.1. Let r = 115.05 + 6.15. Let m = r - 121. What is the fourth biggest value in c, 1, 1/6, m? 1/6 Let r = -249.14 + 1.14. Let v = r - -247.8. Which is the second smallest value? (a) v (b) -5 (c) -1.24 c Let f = -0.32396 + 3.32396. Let c = 4.02 + -0.02. What is the biggest value in 19, c, 1/3, f? 19 Let t = -17292/5 + 3458. What is the second biggest value in 31/2, -3/2, -1, t? t Let s = -40/561 + -1/51. Let n = 156 - 148. What is the fourth smallest value in n, 2, s, 0.4? n Let z = -149/2 - -75. Suppose 0 = -2*t + 4*h + 18 + 12, 0 = -h - 5. Let m = -0.209 - 0.191. Which is the second smallest value? (a) m (b) t (c) z (d) -0.3 d Let a = -61.1 - -77. Let o = a + -15.4. What is the fourth smallest value in 0, -0.4, 5/6, o? 5/6 Let w = 1.0284 - 0.0284. Let q = 503/2 - 251. Which is the third smallest value? (a) 0 (b) q (c) w (d) 0.07 b Let g = -660 + 659.6. Let m = -7.5 + 13.6. Let f = m + -6. Which is the third biggest value? (a) f (b) -0.3 (c) g c Suppose -4*h - 5*f - 31 = 0, -3*h = 7*f - 2*f + 32. Which is the fifth smallest value? (a) -1 (b) 61 (c) -0.5 (d) h (e) 3 b Let c = 2365.1 + -2365.3. What is the biggest value in -13, c, 135? 135 Let j = -10 + 21. Suppose 36 = -j*l + 20*l. Suppose 2*g + 1 = 4*v - 25, -14 = -l*v - 2*g. Which is the smallest value? (a) -4 (b) 0.3 (c) 1/15 (d) v a Let y be 38/72 - 1 - 313/(-1252). Which is the third smallest value? (a) -4 (b) y (c) 5 (d) 83 (e) 0.4 e Let w be 12/60 - 4/(-5). Suppose -3 = 2*v + w. Let j be (v - 0)/(-1) + (0 - -3). Which is the biggest value? (a) 4 (b) 4/5 (c) 2 (d) j d Let y = 356 - 354. Let i = 67 - 75. Which is the second smallest value? (a) y (b) i (c) -2/9 c Let q = -89 - -84. Let l be (-2 - -3) + 2*1. Let x = 2.58 + -4.58. Which is the second biggest value? (a) l (b) x (c) q b Let n = -6.1715 + 0.1415. Let j = n - -5.43. Which is the biggest value? (a) 6 (b) -2 (c) j (d) 2/9 a Let a = 0.78 + 7.22. Let p = a - 6. Let n = 71 + -1063/15. What is the second smallest value in 0.3, n, p, -1/4? n Let h = 3830 + -3830. What is the third biggest value in 0.2, -3, h, -2, -2/101? -2/101 Let s = -15 + 28. Suppose -114 = -12*q + 30. Let n be (-2)/((200/q)/(-5)). What is the biggest value in -4/3, s, n? s Let a be 128/(-96)*(-1 + -1 + -1). Let y be 87/(-12) - a*(-9)/(-48). Let g = -2/97 + 101/194. What is the smallest value in y, g, -3, 3? y Let c = 18138 - 163240/9. What is the second smallest value in 1/8, c, -0.5, 5, -1/75? -1/75 Let t = 10/899 + 455773/1798. Let h = -253 + t. What is the fourth biggest value in -1, -0.5, h, -3? -3 Let v = -753.93 - -7.93. Let s = v - -743. What is the third smallest value in s, -191, -4, 2? s Let r = -1 - -1. Suppose 0 = -4*z - 5*x + 10, -25*z + 3*x + 16 = -23*z. Suppose -j + r*j = -z. Which is the third biggest value? (a) -37 (b) 2 (c) j a Let l be (-62 - 10) + -1 + (2 - -2). Which is the third smallest value? (a) 3/2 (b) 2 (c) l b Let o = -5.7 - -8. Let a = 31.3 - o. Let i = 32 - a. What is the third biggest value in -5/3, -8, 2, i? -5/3 Let q = 4.913 - 371.013. Let t = q - -366. Suppose -2*l = -6*l. What is the second smallest value in t, -4, -16, l? -4 Let k = -15047/91 - -2144/13. Which is the third smallest value? (a) -153 (b) 2/7 (c) k (d) 1 b Let s = 31 + -12. Let u = 17 - s. Let l = 1127/12 - 565/6. Which is the smallest value? (a) -6/11 (b) u (c) -1/9 (d) l b Let q = -1.454 - 2.546. Which is the second smallest value? (a) 0.12 (b) -3/4 (c) q (d) 0.1 (e) 5 b Let n = 18860 + -18897. Which is the third smallest value? (a) 3 (b) 0.4 (c) 0.3 (d) n (e) -4.7 c Suppose 4*j + 10 = -6. Suppose q + 4*o = 0, -q - 2*o + 5 = 3. Let z be (-1)/8*q - 10/(-12). What is the biggest value in j, z, -13? z Let a = 5922.076 + -5922. What is the second biggest value in -1/12, -5, a? -1/12 Let h = 1/14559 + 2610913/14559. Let g = h + -179. Which is the third biggest value? (a) -2/11 (b) -1/2 (c) 7.2 (d) g a Let n = -116 + 116. Let t be ((-4)/30)/((-8)/10). Let c = 4809 + -4809.05. What is the biggest value in t, n, c? t Let g be 26/(-40) - (-4)/10. Let f = -488 - -488. Suppose -h - 8 = -3*i, -2 = -5*i + 5*h + 8. Which is the smallest value? (a) i (b) f (c) 0.1 (d) g d Let m = 0.9 + 0.1. Let l = m + -1.5. Let j = 12413 - 12412.9. Which is the third biggest value? (a) 3/20 (b) j (c) l c Let m be -1 - (5 - (14 + -4))/(-1). Let i be (m/12)/(1/8). Which is the smallest value? (a) i (b) 2/13 (c) -2 a Let w = 5799 + -5802. Which is the second biggest value? (a) -2/19 (b) 21 (c) 0 (d) w (e) -1 c Suppose -5*t + 13 = -4*m, 2*t + 40 = 5*m + 7*t. Let q be (-134)/8 + 2380/140. What is the biggest value in q, -5, -2, m? m Let w = 1 - -1. Let z(i) = 2*i**2 - 16*i - 59. Let o be z(11). Suppose o*g + 12 + 23 = 0. What is the third biggest value in g, -0.3, -0.04, w? -0.3 Let o(w) = -3*w + 4. Let s be o(-1). Let d = -15 - s. Let u be (-5)/(-3)*2/5. Which is the third smallest value? (a) d (b) u (c) -2/9 b Let p = 58/35 + 3/70. Which is the biggest value? (a) p (b) 5 (c) -0.02 b Suppose -5*q - 31 = 3*f, 0 = -2*q - 33*f + 35*f - 22. Which is the third smallest value? (a) q (b) 20 (c) -0.1 b Suppose -2*h - 1 = -9. Let a(r) = 5*r**3 + r - 1. Let s be a(1). Suppose 3*j - s*b = -0*j + 46, 5*b = 2*j - 34. What is the second biggest value in 3/2, h, j? h Let o = -22000.4 - -22000. Which is the biggest value? (a) 10 (b) 406 (c) o b Let p(i) = i**2 - 315*i - 4610. Let j be p(-14). Which is the second smallest value? (a) -0.1 (b) j
{ "pile_set_name": "DM Mathematics" }
8 Calculate the greatest common divisor of 25 and 5139165. 5 Calculate the highest common factor of 7756 and 21885493. 1939 What is the greatest common divisor of 1104 and 2982192? 48 What is the greatest common factor of 1987980 and 497760? 1020 What is the greatest common factor of 1587204 and 3798? 18 Calculate the highest common divisor of 46030530 and 91. 91 What is the highest common divisor of 295794 and 24? 6 What is the greatest common divisor of 546 and 78344994? 546 What is the greatest common divisor of 356485887 and 9? 9 Calculate the highest common divisor of 20764 and 39440. 116 Calculate the highest common divisor of 22883460 and 3924. 1308 What is the highest common divisor of 66285 and 229770? 135 What is the greatest common divisor of 1703526 and 18126? 318 What is the greatest common divisor of 23796 and 133956? 36 What is the highest common factor of 171196 and 2918460? 508 Calculate the highest common divisor of 88874705 and 290. 145 What is the highest common factor of 138168 and 47880? 1368 What is the greatest common factor of 106967104 and 2094? 698 Calculate the highest common factor of 121029744 and 176. 176 Calculate the highest common factor of 51661583 and 259. 37 Calculate the greatest common factor of 8 and 11533576. 8 Calculate the greatest common factor of 1605 and 440951815. 535 Calculate the highest common divisor of 43628 and 2044276. 52 What is the greatest common divisor of 176 and 18862404? 44 What is the highest common factor of 67451 and 2294? 37 Calculate the highest common divisor of 7626 and 9586626. 186 What is the highest common divisor of 658775244 and 12? 12 Calculate the highest common factor of 3240033 and 6532. 23 What is the greatest common divisor of 10132 and 762582? 298 Calculate the highest common factor of 176412789 and 235683. 8127 What is the highest common divisor of 289174 and 27886? 382 What is the highest common factor of 330844 and 2260252? 3092 What is the greatest common divisor of 39 and 277422301? 13 Calculate the greatest common factor of 140436 and 1172624. 332 What is the highest common factor of 1388 and 48260760? 1388 Calculate the greatest common factor of 1373100 and 717600. 6900 What is the highest common factor of 189 and 7633791? 27 What is the greatest common factor of 78270303 and 4665? 933 Calculate the greatest common factor of 55485 and 158458995. 6165 What is the highest common factor of 16419 and 28392? 39 What is the greatest common factor of 3853920 and 1536? 96 Calculate the highest common factor of 181 and 55192. 1 Calculate the highest common divisor of 10605 and 1215. 15 What is the greatest common divisor of 22473034 and 801? 89 What is the highest common divisor of 60557 and 1795759? 287 What is the highest common divisor of 369972 and 5940? 36 What is the highest common divisor of 840 and 18256080? 120 Calculate the highest common divisor of 4676560 and 7. 7 What is the greatest common factor of 3371678 and 133620? 4454 What is the highest common factor of 6505872 and 23? 23 Calculate the highest common divisor of 14118839 and 7. 7 What is the highest common divisor of 2600 and 52078? 26 Calculate the greatest common factor of 20803 and 20280874. 293 Calculate the highest common factor of 57497574 and 3. 3 What is the highest common divisor of 3822 and 455651? 49 What is the highest common factor of 888111 and 3017? 7 Calculate the greatest common factor of 115183976 and 680. 136 What is the greatest common divisor of 1716 and 2966496? 156 Calculate the highest common factor of 3069 and 486519. 33 What is the highest common factor of 39894804 and 227688? 2148 Calculate the highest common divisor of 211380 and 2130180. 780 What is the greatest common factor of 19348040 and 17? 17 What is the highest common factor of 470 and 382956? 94 What is the highest common divisor of 15147452 and 36? 4 What is the greatest common factor of 392038320 and 3945? 3945 What is the highest common divisor of 1379253 and 61289? 167 Calculate the highest common divisor of 131 and 38945. 1 Calculate the highest common factor of 728 and 347914021. 91 What is the greatest common divisor of 770 and 18596270? 770 Calculate the greatest common divisor of 1085194524 and 68. 68 What is the greatest common divisor of 43233391 and 2841? 947 Calculate the greatest common factor of 1055218 and 4470. 298 What is the highest common factor of 112 and 9653392? 112 Calculate the greatest common divisor of 24 and 2454488. 8 What is the highest common divisor of 60 and 208135? 5 Calculate the greatest common divisor of 397227156 and 1113. 159 What is the highest common factor of 1804934 and 2072? 74 What is the highest common divisor of 322653072 and 96? 48 What is the highest common factor of 7050 and 13427947? 47 Calculate the greatest common factor of 97164414 and 11836. 538 What is the highest common factor of 1969178 and 34? 34 Calculate the greatest common divisor of 1021452612 and 12. 12 What is the highest common factor of 360731072 and 13? 13 What is the greatest common divisor of 43702608 and 48? 48 What is the highest common divisor of 260496 and 5112? 72 What is the highest common divisor of 10438254 and 126? 18 What is the highest common divisor of 4390 and 16580? 10 Calculate the greatest common divisor of 320 and 79312256. 64 What is the highest common factor of 801 and 38018664? 801 Calculate the highest common factor of 703884429 and 549. 549 What is the greatest common divisor of 120 and 8707290? 30 What is the highest common factor of 47669530 and 17? 17 What is the greatest common factor of 18605652 and 156? 156 What is the greatest common divisor of 435493355 and 22? 11 Calculate the greatest common divisor of 404 and 95185733. 101 What is the greatest common factor of 140 and 12177740? 20 Calculate the greatest common divisor of 112014 and 409248. 882 What is the greatest common divisor of 18288645 and 4927? 379 What is the greatest common factor of 5221008 and 228? 12 What is the highest common divisor of 103484371 and 239? 239 Calculate the greatest common factor of 33 and 7222699. 11 Calculate the highest common factor of 426403 and 1134959. 577 Calculate the greatest common factor of 258 and 134282808. 258 Calculate the highest common factor of 6980460 and 960. 60 What is the greatest common divisor of 37173549 and 21? 21 What is the greatest common divisor of 12636 and 879528? 156 Calculate the greatest common divisor of 1444630 and 58190. 2530 Calculate the highest common factor of 11667439 and 1141. 7 What is the highest common divisor of 241864 and 292? 4 Calculate the highest common divisor of 66 and 16115506. 22 Calculate the highest common divisor of 1645 and 4266143. 329 Calculate the greatest common divisor of 86415234 and 282. 282 What is the greatest common factor of 486121 and 517? 47 What is the greatest common divisor of 2183 and 41328556? 2183 What is the greatest common divisor of 2416590 and 7110? 90 What is the highest common factor of 51812829 and 63? 9 What is the greatest common factor of 54664737 and 381? 381 Calculate the highest common divisor of 55 and 631205. 5 What is the greatest common factor of 84 and 330492? 12 Calculate the greatest common divisor of 128 and 468018368. 64 What is the greatest common divisor of 21848553 and 1098? 549 Calculate the greatest common factor of 95505082 and 2414. 2414 What is the highest common factor of 26273355 and 20? 5 Calculate the highest common divisor of 175 and 39298875. 175 Calculate the highest common divisor of 54 and 46583178. 6 What is the highest common factor of 21553551 and 3633? 519 Calculate the greatest common divisor of 50 and 113981850. 50 Calculate the highest common factor of 15681 and 44246555. 5227 Calculate the greatest common divisor of 2017 and 21451. 1 Calculate the greatest common factor of 2516474 and 228258. 2818 Calculate the highest common divisor of 92711406 and 42. 6 What is the highest common factor of 22401846 and 1134? 162 Calculate the greatest common factor of 4421585 and 1281. 427 What is the highest common divisor of 180 and 54980010? 90 Calculate the greatest common divisor of 1584 and 20528552. 88 Calculate the greatest common divisor of 151491 and 141. 3
{ "pile_set_name": "DM Mathematics" }
t + 51 + (4 - 3 + 0)*(3*t + 0*t - 2*t). 8766*t Expand (3*d**2 - d**2 + d**2)*(-75 + 2*d + 22 + 53 + 168*d**2). 504*d**4 + 6*d**3 Expand (-87 + 87 + 14*j**3)*(54 - 54 - 3*j + 2*j - j - 6*j + 3 - 3 - 3*j + (2 - 1 - 2)*(-j + 2 - 2)). -140*j**4 Expand (1 + 8 - 4)*(-245*s + 733*s - 245*s - 280*s). -185*s Expand (-3*b + 0*b + 4*b)*(-3 + b**2 + 0*b**2 + 1)*(-1428 + 2874 - 1052)*(-1 + 1 + 2*b)*(-5 + 3 + 4). 1576*b**4 - 3152*b**2 Expand (-2*a - 4*a + 4*a)*(-2*a - 2*a + 6*a)*(9807 + 15985 - 1477 + 193 + 9082). -134360*a**2 Expand (-2*m**3 + 9 - 9)*(0 - 4 + 2)*(-7 + 4 + 1). -8*m**3 Expand (-3 + 2 - 1)*(4*d + 0*d - 3*d) - 800 + 244*d - 2121 - 246*d. -4*d - 2921 Expand (2*w - 2 - w + 0*w)*(462*w + 1105*w - 6 - 1779*w). -212*w**2 + 418*w + 12 Expand (4*n - 3*n - 3*n)*(26*n**4 + 29*n**4 + 0*n**4) + (n**3 - 10*n**3 - 14*n**3)*(-3*n**2 + 0*n**2 + n**2). -64*n**5 Expand 5*t + 3*t + 2*t**5 - 2*t + (46*t**3 + 3*t**3 + 116*t**3)*(0*t**2 + 2*t**2 + 0*t**2) - t**5 + 3*t**2 - 3*t**2. 331*t**5 + 6*t Expand (-5*n + 6*n**3 + 5*n)*(-523 - 266*n + 523). -1596*n**4 Expand (9*x**3 + 7*x**2 - 7*x**2)*(230 - 67 + 263). 3834*x**3 Expand 202*r**3 - 54*r**4 - 202*r**3 + (3*r - 2*r**4 - 3*r)*(-25 + 11 - 24). 22*r**4 Expand 5*i**4 - 4*i**4 - 4*i**4 + (3*i**2 - 12*i**2 - 6*i**2)*(i**2 + 0 + 0) - 2*i**4 - 2*i**4 + 6*i**4. -16*i**4 Expand (-22*l + 0*l - 3*l)*(-19 - 13 + 11)*(2*l**2 + l**2 - l**2). 1050*l**3 Expand ((2 - 2 + 1)*(-2*v - 1 + 1) + 6*v - 12*v - 30*v + (-v + 0*v - v)*(-1 - 2 + 2))*(-v + 8*v + 6*v). -468*v**2 Expand (0*y + 5*y + 0*y)*(8 - 1 - 4)*(-2 + 6 + 4). 120*y Expand 7*l**2 + l**3 - 7*l**2 + (2*l + 5 - 5)*(6*l**2 + 0*l**2 - 4*l**2) + l**3 - 5*l**3 + 2*l**3 + (-3*l**2 + 5 - 5)*(3*l - 3*l + 2*l). -3*l**3 Expand (-9 + 2 + 52)*(3 - 2 - 28)*(t**2 + 2*t**2 - 7*t**2). 4860*t**2 Expand (-3*b - 4 + 4)*(b + b + 0*b + 3*b - 2*b + 0*b + (1 - 2*b - 1)*(1 - 1 + 1) + 49*b + 33*b - 8*b). -225*b**2 Expand (250 - 19*o**3 - 250 + (-2*o + 2*o - 2*o)*(0*o**2 + 2*o**2 - 3*o**2) - o**3 + 4*o**3 - o**3)*(-8 + 6 + 2*o + 1). -30*o**4 + 15*o**3 Expand (-3*p - p**2 + 3*p)*(4*p - 4*p - 2*p**2) - p**4 - 2*p - 2187 + 2288 - 2*p**4. -p**4 - 2*p + 101 Expand -17*t**3 - 48*t**2 + 48*t**2 + (11*t - 18*t - 5*t)*(-10*t - 3 - 3*t**2 + 10*t) - t**3 + t**3 - 2*t**3. 17*t**3 + 36*t Expand (7 - 7 + 8*o - 40*o)*(-29*o + 5*o - 14*o + (-2 - 2 + 3)*(-o + o + 2*o)). 1280*o**2 Expand (-2093 + 215 - 1923)*(3 - 3 - 2*w). 7602*w Expand (-2*k**4 + 2*k - 2*k)*(597*k + 53*k + 649*k). -2598*k**5 Expand (-3*o + 5*o + o + (-o + 3*o + 0*o)*(-2 + 1 + 2) - 32*o + 42*o - 28*o)*(-27 + 35 + 11)*(-1 + 1 + 2*o). -494*o**2 Expand (31*n - 7*n + 11*n)*(17*n**2 - 37 + 37) + (-3*n**2 + 3*n**2 + n**2)*(3*n + 2*n - 7*n) - n**3 + 2*n - 2*n + 0 - n**3 + 0. 591*n**3 Expand ((2*j**4 - 3*j**4 - j**4)*(-3 - 1 + 6) + 0*j**4 + 0*j**4 - 2*j**4 + 3*j**4 + 0*j**4 - j**4)*(3333 - 661 - 1121). -6204*j**4 Expand (-4*a - a + 3*a)*(11 + 8 + 16 + 52291*a - 40 + 5). -104582*a**2 Expand ((-3 + 5 - 1)*(2*l - 3*l - l) + 6*l - 7*l + 5*l - l + 4*l + l)*(3 - l - 3) - 3*l**2 - l + 5*l**2 + 17 - 5. -4*l**2 - l + 12 Expand (s + 3 - 3)*((0 - 2 + 3)*(4*s - 4*s + 4*s**2) + 0*s**2 - 2*s**2 + 0*s**2 - 9 - 4*s**2 + 9). -2*s**3 Expand (9761*q - 9761*q - 34*q**2)*(-2*q - 2*q + 3*q)*(-2*q + 3*q - 2*q). -34*q**4 Expand -w + w - w + (1 - 4 + 1)*(-w + w - 2*w) - 4 + 14*w - 10 - 16*w. w - 14 Expand (y + 2*y - 5*y)*(2*y + 4*y - 4*y) + (13*y - 26*y + 14*y - 11)*(-6*y + 6*y - 10*y). -14*y**2 + 110*y Expand (2 - 3 + 2)*(-3*a + 5*a + a)*(5546 - 2405 - 2441). 2100*a Expand (w - w - w + (0 + 1 - 2)*(15 + 144*w - 15))*(5 + 2 - 3)*(0 - 4 + 6)*(0*w + 0*w + 2*w). -2320*w**2 Expand -1 + 1 - q**2 + (0*q + q - 3*q)*(2*q + 2*q - 3*q) + 5 - 5 - 36*q**2 - q**2 + 1 - 1 + (2*q - q - 3*q)*(2*q + q + 2*q). -50*q**2 Expand (1 - 1 - t**4)*(3 - 4 + 3) + 2*t**4 - 3*t**4 + 0*t**4 + (-t**4 - 2*t**4 + 0*t**4)*(-22 + 184 + 79). -726*t**4 Expand (5*m**2 - m**2 - 5*m**2 + (3*m**2 + m**2 - 3*m**2)*(-2 + 0 + 0) + 0*m**2 + m**2 - 4*m**2)*(-5 - 15 + 0)*(36*m + 27*m - 111*m). -5760*m**3 Expand (6044 + 4732 + 482 + 1998)*(-2*c + 3 - 3). -26512*c Expand (0 + 5 - 3)*(3*h + 2*h + 0*h)*(-2 - 1 + 0)*(3 - 3 - 2) - 2 + 3 + 4*h - 6*h + (0 + 5 - 3)*(-6*h + 3*h + 2*h). 56*h + 1 Expand ((6*j - 3*j - j)*(-1 + 5 - 3) + 2*j - 1 + 1 - 2*j - 3*j + 3*j - 156*j - 35535 + 35535)*(3 + 2 - 3). -308*j Expand (3 - 3 + k)*(84*k**4 + 2327 - 2327) - 24*k**5 - 15*k**5 + 8*k**5. 53*k**5 Expand ((3 - 3 - 1)*(-4 + 5 - 3) + 86 - 32 - 22)*(k + 53 - 53). 34*k Expand -17*a**5 - 6*a**5 + 7*a**5 + (4*a - 54*a - 65*a - 1)*(-a**4 - 1 + 1). 99*a**5 + a**4 Expand (0 + 0 - l)*(74*l - 155 + 4*l**2 - 82 - 75*l). -4*l**3 + l**2 + 237*l Expand (90 + 71*b - 90 + (-1 + 0 + 3)*(4 - 2*b - 4) + 5*b + 0*b - 4*b)*(14 - 7 - 6). 68*b Expand (-o + 2*o + o)*(9 - 14*o**2 - 9)*(0 - 1 - 1) + (1 + 0 + 2)*(-3*o**3 - 2*o**3 + 4*o**3) + 2*o**3 - 7*o**3 - 2*o**3. 46*o**3 Expand (111*d - 111*d - 21*d**2)*(-30*d + 28*d + 43*d) + (d - d**2 - d)*(-3*d + d + 3*d) + (-4*d**2 - d**2 + 4*d**2)*(d - 4*d + 2*d) + 0*d**3 + 2*d**3 - d**3. -860*d**3 Expand (32072 - 32072 + 295*s)*(-9*s**2 - 9*s**2 - 5*s**2). -6785*s**3 Expand (1 + 0 - 3)*(-2 + 2 + 5*o**2)*(-o**3 + 2 - 2) + (-41*o + 41*o + 52*o**2)*(0*o**3 + 0*o**3 + o**3). 62*o**5 Expand (6*u**2 + 4*u**3 + u**2 - 6*u**2)*(0 - 1 + 2)*(1 - 2 + 2). 4*u**3 + u**2 Expand -r**5 - 1 + 1 + 5*r**5 + 31*r**3 - 61*r**3 + 25*r**3 + (4 + 2*r**2 - 4)*(-1 + 8*r**3 + 1) + 2*r**5 + 2*r**5 - r**5. 23*r**5 - 5*r**3 Expand (4 + 1 - 3)*(3*l**2 - 2*l**2 + l**2) - l**2 + 0*l**2 + 4*l**2 + 0*l**2 - 4*l**2 + 3*l**2 + (2*l - 3*l + 3*l)*(2*l - 4 + 4). 10*l**2 Expand 237*l**4 - 346*l**4 - 160*l**4 + (1 - 1 + 2)*(-3*l**4 - 2*l**2 + 2*l**2). -275*l**4 Expand (2 - 1 + 2)*(106 + 33*w**3 - 106) + w**3 + w**3 - w**3. 100*w**3 Expand -3*v**3 + 6*v**3 - v**3 + (3*v**2 + 3*v**2 - 4*v**2)*(13*v + 67 - 4*v - 6*v)*(-6 + 6 + 3). 20*v**3 + 402*v**2 Expand (d - d - 3*d)*(4 - 4 + 2)*(1 + 0 - 2) - 6*d + 463*d + 327*d. 790*d Expand (-156*v - 105*v + 75*v)*(52 - 48*v - 52). 8928*v**2 Expand (771*s**3 - 384*s**3 - 383*s**3)*(1 - 1 - 2*s**2) + (s**2 - 2*s + 2*s)*(7*s**3 - 3*s**3 - 3*s**3). -7*s**5 Expand 0*w**3 + 0*w**3 + 2*w**3 + (4*w - w + 2 - 3)*(-146*w**2 + 72 - 72). -436*w**3 + 146*w**2 Expand (2*p**3 + 781863*p**2 + 4 - 1 - 778842*p**2)*(2 - 2 - 2*p**2 + (2*p**2 - 1 + 1)*(3 - 2 - 3) + 3 - 3 + 2*p**2). -8*p**5 - 12084*p**4 - 12*p**2 Expand (-25 + 11 - 47 + (0 - 1 + 2)*(2 + 0 - 1) - 5 + 3 + 1)*(3*t - t + 0*t). -122*t Expand (84 + 10459*n**2 + n - 10459*n**2 + 7*n**4)*(2*n + 3*n + 0*n) + 3*n**4 - 3*n**5 - 3*n**4 + (n**4 - 2*n**4 + 0*n**4)*(-6*n + n + 4*n). 33*n**5 + 5*n**2 + 420*n Expand (2 - 9 + 3)*(531 - 260 - 266 + 34*u). -136*u - 20 Expand (0 + 0 - 4*u)*(-656 - 659 + 1320 + u**3). -4*u**4 - 20*u Expand (-3 + 0*v + 1 - 2*v)*(216 + 625 - 165 - 2 + 6 - 2 + (4 - 4 + 1)*(2 + 1 - 4) + (-5 + 2 + 2)*(-1 + 4 - 2)). -1352*v - 1352 Expand (5*h - h - 2*h)*(-h**2 - h**2 + h**2) - 6*h**3 + 4*h**3 + 3*h**3 - 2*h**3 - h**3 + 2*h**3 + 61*h**3 - 3*h**3 + 12*h**3 - 38 + 4*h**3 + 39 - 15*h**3. 57*h**3 + 1 Expand 26*f + 370*f + 61*f + (18 + 22 - 45 + 10*f)*(2 - 4 + 3). 467*f - 5 Expand (-6*y + y + y - y + 3*y - 3*y - 2*y - 2*y + 5*y + (0 + 0 - y)*(-1 - 1 + 0) - y - 4*y + 0*y)*(112*y**3 - 69*y**3 - 58*y**3). 105*y**4 Expand -22*q**5 - 42*q**5 - 47*q**5 + (3*q - 4*q + 8*q)*(0*q**3 + 0*q**3 - 2*q**4). -125*q**5 Expand (-6 - 4*g + 6)*(0 + 0 + g) + (-60*g - 50*g + 32*g)*(3*g - 6*g + g). 152*g**2 Expand (-4493 + 4491 - 154*s**2 - 380*s**2)*(-2*s**2 + 0*s**2 + s**2). 534*s**4 + 2*s**2 Expand -19 + 19 - 2*x**2 - 6*x + 5*x**2 - 5*x**2 + x**2 + (-x - 1 + 1)*(2*x + 2*x + 4*x). -9*x**2 - 6*x Expand -4*d + 8*d - 4*d - d**4 + (-3*d - 1 - d + 3*d)*(13*d**3 - 46*d + 46*d). -14*d**4 - 13*d**3 Expand (1850 - 4*k**2 - 3810 + 1866)*(0*k - k + 4*k). -12*k**3 - 282*k Expand (-57*k - 12*k + 3*k)*(0 - 1 + 0)*(8*k + 4*k - 3*k)*(-k + 3 - 3). -594*k**3 Expand (-2*j + 4*j - j)*(0*j - j + 5*j + (11 - 6 + 6)*(-3*j + 5*j - 4*j) - 6*j - 5 + 5 - 1 + 1 + j). -23*j**2 Expand -8167140*j**2 - 6*j + 8167138*j**2 + 25 - 80*j - j + j**2 + j + (2 + 0 - 1)*(-j**2 + 3*j**2 + 0*j**2). j**2 - 86*j + 25 Expand (3*a - 3*a - 2*a)*(-a**2 - a**2 + a**2) + (a**2 - a**2 - a**2)*(-33*a + 5*a - 71*a). 101*a**3 Expand 8*h**3 - 8*h**3 - 10*h**5 + (-3*h
{ "pile_set_name": "DM Mathematics" }
en 59 is divided by 7? 3 What is the remainder when 3553 is divided by 115? 103 What is the remainder when 51441 is divided by 89? 88 Calculate the remainder when 4516 is divided by 2255. 6 What is the remainder when 144 is divided by 15? 9 Calculate the remainder when 2318 is divided by 231. 8 Calculate the remainder when 337 is divided by 26. 25 What is the remainder when 1291 is divided by 76? 75 What is the remainder when 2083 is divided by 174? 169 Calculate the remainder when 456 is divided by 93. 84 What is the remainder when 2897 is divided by 145? 142 Calculate the remainder when 52 is divided by 33. 19 What is the remainder when 206 is divided by 45? 26 Calculate the remainder when 1634 is divided by 118. 100 Calculate the remainder when 29919 is divided by 220. 219 Calculate the remainder when 401 is divided by 31. 29 Calculate the remainder when 152 is divided by 45. 17 What is the remainder when 239 is divided by 6? 5 What is the remainder when 109 is divided by 17? 7 Calculate the remainder when 4969 is divided by 5. 4 What is the remainder when 359 is divided by 40? 39 Calculate the remainder when 585 is divided by 8. 1 What is the remainder when 5 is divided by 5? 0 What is the remainder when 1578 is divided by 51? 48 Calculate the remainder when 35 is divided by 10. 5 Calculate the remainder when 19 is divided by 11. 8 What is the remainder when 461 is divided by 14? 13 Calculate the remainder when 761 is divided by 64. 57 Calculate the remainder when 19 is divided by 16. 3 Calculate the remainder when 667 is divided by 7. 2 Calculate the remainder when 2932 is divided by 163. 161 What is the remainder when 352 is divided by 12? 4 Calculate the remainder when 599 is divided by 43. 40 Calculate the remainder when 123 is divided by 31. 30 Calculate the remainder when 385 is divided by 28. 21 What is the remainder when 208 is divided by 26? 0 What is the remainder when 1166 is divided by 16? 14 What is the remainder when 218 is divided by 72? 2 Calculate the remainder when 435 is divided by 45. 30 Calculate the remainder when 215 is divided by 56. 47 Calculate the remainder when 81 is divided by 34. 13 What is the remainder when 125 is divided by 44? 37 What is the remainder when 7127 is divided by 2374? 5 What is the remainder when 10033 is divided by 15? 13 Calculate the remainder when 325 is divided by 83. 76 Calculate the remainder when 193 is divided by 50. 43 Calculate the remainder when 20 is divided by 5. 0 Calculate the remainder when 443 is divided by 12. 11 Calculate the remainder when 4633 is divided by 1521. 70 What is the remainder when 2514 is divided by 37? 35 What is the remainder when 123 is divided by 46? 31 Calculate the remainder when 195 is divided by 18. 15 What is the remainder when 72 is divided by 28? 16 What is the remainder when 3396 is divided by 74? 66 Calculate the remainder when 105 is divided by 102. 3 Calculate the remainder when 282 is divided by 132. 18 What is the remainder when 54 is divided by 14? 12 What is the remainder when 983 is divided by 23? 17 Calculate the remainder when 500 is divided by 40. 20 What is the remainder when 1165 is divided by 42? 31 What is the remainder when 876 is divided by 23? 2 Calculate the remainder when 2267 is divided by 367. 65 Calculate the remainder when 194 is divided by 76. 42 What is the remainder when 549 is divided by 25? 24 Calculate the remainder when 77 is divided by 28. 21 Calculate the remainder when 9421 is divided by 27. 25 Calculate the remainder when 1684 is divided by 282. 274 What is the remainder when 129 is divided by 128? 1 What is the remainder when 288 is divided by 133? 22 Calculate the remainder when 335 is divided by 34. 29 Calculate the remainder when 1339 is divided by 134. 133 Calculate the remainder when 371 is divided by 73. 6 Calculate the remainder when 385 is divided by 55. 0 What is the remainder when 40 is divided by 15? 10 What is the remainder when 152 is divided by 69? 14 Calculate the remainder when 2129 is divided by 10. 9 Calculate the remainder when 5470 is divided by 144. 142 Calculate the remainder when 1197 is divided by 91. 14 What is the remainder when 8786 is divided by 6? 2 What is the remainder when 482 is divided by 156? 14 Calculate the remainder when 1245 is divided by 39. 36 Calculate the remainder when 87 is divided by 56. 31 What is the remainder when 270 is divided by 16? 14 What is the remainder when 256 is divided by 31? 8 What is the remainder when 255 is divided by 16? 15 Calculate the remainder when 800 is divided by 11. 8 What is the remainder when 333 is divided by 49? 39 What is the remainder when 297 is divided by 15? 12 What is the remainder when 871 is divided by 152? 111 Calculate the remainder when 8272 is divided by 14. 12 Calculate the remainder when 281 is divided by 67. 13 Calculate the remainder when 601 is divided by 11. 7 What is the remainder when 2253 is divided by 41? 39 Calculate the remainder when 466 is divided by 92. 6 Calculate the remainder when 129 is divided by 42. 3 Calculate the remainder when 39 is divided by 13. 0 Calculate the remainder when 28 is divided by 11. 6 Calculate the remainder when 68 is divided by 36. 32 What is the remainder when 689 is divided by 23? 22 Calculate the remainder when 66 is divided by 23. 20 Calculate the remainder when 492 is divided by 9. 6 What is the remainder when 60 is divided by 13? 8 Calculate the remainder when 700 is divided by 101. 94 Calculate the remainder when 294 is divided by 282. 12 Calculate the remainder when 1005 is divided by 19. 17 Calculate the remainder when 511 is divided by 286. 225 What is the remainder when 290 is divided by 30? 20 Calculate the remainder when 111 is divided by 14. 13 Calculate the remainder when 153 is divided by 28. 13 Calculate the remainder when 140 is divided by 48. 44 Calculate the remainder when 1463 is divided by 61. 60 What is the remainder when 76 is divided by 16? 12 What is the remainder when 1771 is divided by 148? 143 Calculate the remainder when 1090 is divided by 78. 76 What is the remainder when 91 is divided by 43? 5 What is the remainder when 4645 is divided by 26? 17 Calculate the remainder when 311 is divided by 147. 17 Calculate the remainder when 57 is divided by 26. 5 What is the remainder when 1169 is divided by 24? 17 What is the remainder when 89 is divided by 47? 42 Calculate the remainder when 148 is divided by 28. 8 What is the remainder when 318 is divided by 219? 99 What is the remainder when 243 is divided by 7? 5 Calculate the remainder when 181 is divided by 86. 9 What is the remainder when 184 is divided by 51? 31 Calculate the remainder when 316 is divided by 42. 22 Calculate the remainder when 5031 is divided by 35. 26 Calculate the remainder when 396 is divided by 35. 11 What is the remainder when 52 is divided by 35? 17 What is the remainder when 793 is divided by 128? 25 Calculate the remainder when 2744 is divided by 910. 14 Calculate the remainder when 1055 is divided by 331. 62 Calculate the remainder when 356 is divided by 60. 56 What is the remainder when 335 is divided by 38? 31 Calculate the remainder when 2276 is divided by 12. 8 Calculate the remainder when 874 is divided by 65. 29 What is the remainder when 2478 is divided by 67? 66 Calculate the remainder when 429 is divided by 151. 127 Calculate the remainder when 156 is divided by 25. 6 Calculate the remainder when 1187 is divided by 54. 53 What is the remainder when 294 is divided by 94? 12 Calculate the remainder when 228 is divided by 78. 72 What is the remainder when 425 is divided by 202? 21 What is the remainder when 217 is divided by 44? 41 Calculate the remainder when 258 is divided by 79. 21 Calculate the remainder when 1697 is divided by 543. 68 What is the remainder when 1009 is divided by 91? 8 What is the remainder when 281 is divided by 31? 2 What is the remainder when 28 is divided by 3? 1 What is the remainder when 114 is divided by 63? 51 Calculate the remainder when 61 is divided by 8. 5 What is the remainder when 914 is divided by 205? 94 What is the remainder when 1732 is divided by 22? 16 Calculate the remainder when 692 is divided by 78. 68 What is the remainder wh
{ "pile_set_name": "DM Mathematics" }
2 Solve -1141*o - 3*h - 9 = -1143*o, 4*h + 59 = -13*o for o. -3 Solve 4*g = 4*b - 48, 39 = 29537*g - 29532*g + 4*b for g. -1 Solve 0 = 2*i + 234*g - 233*g + 16, i - 3*g - 13 = 0 for i. -5 Solve 5*t + 5*r + 135 = -4*r + 4*r, 30*r = 120 for t. -31 Solve 139 = 27*k + 2*q, 2*q = 88612*k - 88607*k - 21 for k. 5 Solve -49960*o + 4*l + 19 = -49959*o, 3*o - 20*l - 26 - 63 = 0 for o. 3 Solve -3*k + k - 5836 = -16*b - 5898, 45 = -5*k for b. -5 Solve 5*n - 3*v + 33 = 0, 2*n - 283731*v = -283733*v - 26 for n. -9 Solve 4*y - 5*o - 99 = 0, -39428*y + 4*o = -39425*y - 80 for y. -4 Solve 6*t + 6*p - 65 + 11 = 10*p, -3*t + 6*p = -51 for t. 5 Solve -24 = -9*z + 21, 2*z - z = -27*c + 24*c - 282 - 103 for c. -130 Solve -98*z + 126 = 6*q - 102*z, -4*q + 4*z = 7*z - 101 for q. 23 Solve 0 = 2*x + 8, -22 = -2*q + 3181*x - 6361*x + 3183*x for q. 5 Solve -7*p = -9*r + 13*r + 32 + 29, 0 = -3*r + 2*p + 5 for r. -3 Solve -5*m - 6*u = -180, 131*m - 125*m - 195 = -3*u for m. 30 Solve -3*h + 0*n = 4*n + 23, 65*h + 43 = 60*h + 3*n - 5 for h. -9 Solve -169*y - 16521 = -5*z + 1010*y, 3*z - y - 1515 = -0*y - 1492 for z. 3 Solve 4353*c - 5*l = 4358*c + 30, 7*l - 14 = 0 for c. -8 Solve -2*q + 16 = 2*v, 7*v - 4*q + 136811 = 136812 for v. 3 Solve -3*c = 4*w - 35, 5*w - 12537*c + 12562*c - 150 = 0 for w. 5 Solve 9*q - 11 = 275*f - 274*f + 66, -3*q + 43 = 4*f for q. 9 Solve 19*l - 10*l - 298*q = 4*l - 294*q - 110, 7*l + 2*q + 192 = 0 for l. -26 Solve 88*b + 87*b + 72*b = 4*k + 245*b + 166, -4*k = -b + 89 for k. -3 Solve 4*s = -2*d - s - 0*s + 9, -311*s + 53 = 4*d - 308*s for d. 17 Solve -43*k + 41*k - 6*u = 22, 13*k + 17 = 12*k - u for k. -20 Solve 4*z - 18*s + 13*s + 168 = 160, 0 = 4*z - 3*s for z. 3 Solve 6*h + 4*y = -50, h + 17 = 23978*y - 23970*y for h. -9 Solve -5*j = 6*r + 646, 0 = -64236*r + 64235*r - 106 for j. -2 Solve 186*q + 4*c + 1020 - 6 = -16*q, -4*q + c - 19 = 0 for q. -5 Solve 3*l + 129 + 177 = 45*i, -46 = -6*l - 4*i for l. 3 Solve 167*s + 8 = -2*w + 170*s, -7 = -3*w - 5*s for w. -1 Solve 5*o - 30 + 40 = p, -17*o = 3*p + 64 + 2 for p. -5 Solve -3*m - 3 = -5*l, 0 = 4988559*l - 4988562*l + 19*m - 5*m + 14 for l. 0 Solve 4*w - 5*q = -68, 71*q + 6363 - 6035 = -2*w for w. -22 Solve -29*z - 9 + 2 = 23*z - 49*z - 4*k, 3*z + 0*z - 32 = -35*k for z. -1 Solve -378 = -9*m + 2*f, 531*m + 106 + 12 = 535*m + 4*f - 50 for m. 42 Solve -596*h - 2*n = -591*h - 11, -2*h + 5*n - 42 = 0 for h. -1 Solve -2*p - 75*f = -74*f + 6, 231*f - 230*f - 126 = 42*p for p. -3 Solve 4*f - 546375 + 546410 = k, 0 = -k - 8*f - 25 for k. 15 Solve 5*w + 4*m - 20 = -m, 0 = -4*w - 2*m + 14 for w. 3 Solve 3*s - 20 = 10*s - 3*b - 48, 0 = -5*s + 6*b + 20 for s. 4 Solve 5*s + 8*s = 4*s - 22*k - 236 - 49, k + 35 = 4*s for s. 5 Solve -5795*g - 89 + 8 = -5774*g - 3*x, -5*g + 4*x = 16 for g. -4 Solve 6*h + x + 24 = -2*x, -90 = -h - x - 96 for h. -2 Solve -5*n - 230 = 0, 0*c + 2993*n + 22 = -0*c - 8*c - 0*c + 2992*n for c. 3 Solve -2*m = 1723*y - 1719*y + m, 4*y + 5*m = -8 for y. 3 Solve 5*z - 20292 + 20487 = 0, 17*z + 664 = r for r. 1 Solve g - 94 = 50*n - 47*n, -2*n - 106 = 21*g for n. -32 Solve -3*j + 34 = -n, 47431*j + 13 = 47426*j - 2*n for j. 5 Solve 0 = 13*x - 733*g + 736*g + 58, 0 = 4*x + 3*g + 22 for x. -4 Solve -120 = 15*w, 4937*w - 46 = 2*g + 4942*w for g. -3 Solve o - p = -7, -2*o + 14 + 53 = -311*p + 318*p for o. 2 Solve -14*m = -2*i - 44, 0 = 4*i + 130782*m - 130785*m + 38 for i. -8 Solve 4*r + 6*u = -3*u + 4*u - 214, r - 28*u - 1292 = 0 for r. 4 Solve -i - 1267 = 5*b - 1288, -3*i + 4*b = 32 for i. -4 Solve 94*u - 44*u - 55*u = -2*z + 52, 27 = -3*u - 3*z for u. -10 Solve -5*n - 2*y + 3385 - 3363 = 0, -3*y + 15 + 12 = 6*n for n. 4 Solve 0 = 10*j - 9*j - 2*k - 9, -13*k + 91 - 52 = 0 for j. 15 Solve 3*m - 2*b - 1364880 = -1364910, -m - 4*b = -46 for m. -2 Solve -4 - 6 = -5*g - 5*o, 5*g - g - 14*o = 3*g - 58 for g. -2 Solve -v = -6*v - 109 + 99, -5*i - 5 + 1 = -3*v for i. -2 Solve -5*c - 30*z = -95, -11161*c + 11163*c - 5*z - 55 = 0 for c. 25 Solve -36 = -3*g - 2*t, -18649*g + 18650*g + 3*t + 8 = 55 for g. 2 Solve -s + 3*q + 52 = 68, -5*s - 41 = 4*q - 6*q for s. -7 Solve 5278 = 7*f + y - 6*y + 5284, -4*f - 21 = 3*y for f. -3 Solve 3*m - 3*r - 1812 = -1695, -64*m - 5*r = -3*r - 1686 - 546 for m. 35 Solve -1334*i + 4*w + 22 = -1337*i, 2*i - 2*w = -10 for i. -6 Solve -2*v + 20*w - 25*w = 35 - 12, -v = 3*w + 14 for v. 1 Solve 2*j + 36 = 5*u, 57 = 51*j - 70*j for u. 6 Solve g + 165 = -5*i + 189, 13*i + 5 = 5*g - 1 for i. 3 Solve 2*i + 6*h - 14 = 0, -10 = 15704*i - 15710*i - 2*h for i. 1 Solve 189*h + 166 = 5*m + 188*h, -5*m + 168 = -3*h for m. 33 Solve 2*f - 3*a = -67, -f - 2*a - 37600 + 37563 = 0 for f. -35 Solve -3*x = 4*o - 21*x + 12*x - 104, 2*x + 104 = 4*o for o. 26 Solve 50*n - 148 = -2*x, -3*n = x - 28 + 20 for x. -1 Solve 62 = 2*k + 5*n - 32 + 24, -k - 4*n + 53 = 0 for k. 5 Solve -135*b - 3193 = 153*a + 140*b - 270*b, 4*b - 37 = a for a. -21 Solve -193786*m + 5*i + 47 = -193789*m, 3*i + 32 = 2*m for m. 1 Solve 13*f + 7*t = 14*f + 115, -3*f = -5*t + 73 for f. 4 Solve 438*u - 20 = -4*w - 425*u + 861*u, 0 = -w + 2*u - 5 for w. 3 Solve 3*q + 117*f - 228*f = -115*f - 42, -4*q + f = 37 for q. -10 Solve -4*w - 3 = -c, -456*c - 12 = -460*c - 5*w for c. 3 Solve 4*q + d + 208 = q + 110, 4*d = -4*q - 28*q - 1032 for q. -32 Solve v + 118 = -4*u, -8*v + 110*u - 57*u - 56*u - 103 = 0 for v. -2 Solve -5*s = -16*p + 20*p - 10*s + 106, -70 = 4*p + 13*s for p. -24 Solve -23*u + 15 = 2*v - 19*u + 5 - 10, 4*v - 4*u + 44 = 0 for v. -4 Solve -6793547*h = -6793546*h - 3*u - 22, 38 = 3*h - 5*u for h. 1 Solve -25 = -5*t + 5*d, 4*t - 3*t - 2558 = -54*d - 2828 for t. 0 Solve 0 = 3*u - 145402*q + 145406*q - 69, -2*q = 4*u - 82 for u. 19 Solve -354*w = n - 350*w + 44 + 4, -152*n + 2*w + 24 = 142*n for n. 0 Solve -167*c + 4*o + 12 = -165*c, 2*c + 6*o - 5*o = 32 for c. 14 Solve 371*v - 2*o - 92 = 366*v, 3*v - 4*v - o = -17 for v. 18 Solve 5*w + s = -1982 + 1954, -2*s + 4 = -2*w for w. -5 Solve -4*r + 13*j - 1 = 10*j, 0 = -3*r - 4*j - 7 for r. -1 Solve -559669*b + 559672*b - 30 = 2*t, -2*t - 9*b = -2*b - 90 for t. 3 Solve 5*a = 2*w - w - 16, 592*w - 595*w - 24 = 3*a for w. -4 Solve 0 = -99*f + 3366, -756*f + 753*f = 3*s - 117 for s. 5 Solve -2*i + 3*b = 48, -5*b + 2*b = -113*i + 59*i + 51*i - 9*b + 54 for i. -6 Solve -z - 27 = 8*m, -106*z + 47 = -103*z - 8*m for z. 5 Solve -2*j + 46 = 10*f, 25*f + 7 = -28*f + 58*f + 9*j for f. 5 Solve 3*m - 64 = 15*l + 4*m - 3, -2*l - 4 = -4*m for l. -4 Solve -10617*i - 17*g = -10621*i - 78, 7*g + 19 = -3*i for i. -11 Solve 102*p - 10 = 9*b + 107*p, -5*b - 3*p - 4 = 0 for b. -5 Solve 3544*n - 3540*n + 4*j - 36 = 0, n - 3*j = -19 for n. 2 Solve -22*r = 3*l - 126, -2*l = -3*r - 1810 + 1726 for r. 0 Solve v - 3*p - 33 = 2*v + v, 3*v - 402*p = -371*p - 85 for v. -18 Solve 2*h - 5*h = 2*b - 5, 4*h - 9597 = -4*b - 9593 for b. -2 Solve -68 - 79 = 3*j - 6*o + 84 - 186, -5*o = j + 22 for j. -17 Solve -2 = 3*v - c, -2*v - 4*c - 21 = 29 - 86 for v. 2 Solve 5*w = -2*f - 65, w - 61*f - 2498 = -2*w - 982 for w. -3 Solve 3*g = -4*b + 11, 15*b = -15*g + 41*g - 29*g for b. -1 Solve -2*a + 4*a + 419 - 327 = -2*b, -a + 4*b + 96*b - 450 = 0 for a. -50 Solve -25359*f - 24 = -12670*f - 12676*f - 3*k, 0 = 7*f + 4*k - 32 for f. 0 Solve -7*j + 2*x - 170 = 6*x, 84 = 8*j - 12*j + x for j. -22 Solve -7*o + 6*o - 3*d = -6*o - 197, -3*d - 963 = 24*o for o. -40 Solve 3*u + 59 = k + 3*k, -80 = -690*k + 685*k + 4*u for k. -4 Solve 5*w = 2*v - 103, 5*v + 44889 = -5*w + 44814 for w. -19 Solve 13*m = 11*m + 6*x - 230, -3*m - 8*x + 187 = -3*x for m. -1 Solve 9*u + g = -3260 + 3320, -16*u - 10 = -g for u. 2 Solve -21*f = -23*f + 6*m - 2*m - 4, -5*f + 2 - 8 = -8*m for f. 2 Solve -2*c = -4*q + 62, 31*c - 129*c + 3*q = 6*c + 3224 for c. -31 Solve 160*a - 159*a = 2*s + 18, 3*a - 2*s = 14 for a. -2 Solve -3*i + q = -4, q = -6*i - 3056 + 3070 for i. 2 Solve -5*v = -4*v - 2, -451*h - 166*h + 21*v = 8*v + 14*v - 14193 for h. 23 Solve 2*h = 4*d + 5*h - 161, -13*d + 53 + 474 = -3*h + 14*h for d. 38 Solve 0 = -c + 6*s + 37, -16*c - 4378*s + 592 = -4374*s for c. 37 Solve 2*u = -2*h - 64, 5*h - 3*u = 196 - 60 for h. 5 Solve 4*b - 618 = 14*s, -4328865 = -3*s + 3*b - 4329006 for s. -43 Solve -3*f = -24 + 42 - 21, -15*l - 2*f + 233 - 21 = 0 for l. 14 S
{ "pile_set_name": "DM Mathematics" }
e third derivative of i(u) wrt u? -18 Suppose 0 = -4*u + 9 - 1. Find the third derivative of n**u + 5*n**3 + n**2 + 3*n**2 - 4*n**3 wrt n. 6 Let s(d) be the second derivative of -d**4/4 + d**2/2 - 5*d. What is the first derivative of s(p) wrt p? -6*p Let n(c) = -c - 8. Let u be n(-11). Let l(s) be the first derivative of -2 - 3 - 2*s + 3 + s**u. Differentiate l(m) wrt m. 6*m Suppose -2*o + 4*o - 2*h = 6, -3*h + 3 = o. What is the derivative of -2*m + 2 - 3 - o wrt m? -2 Suppose 2*p = 4*p - 12. Let o = -5 + p. Differentiate v**4 + 7*v - 7*v - o - 3 with respect to v. 4*v**3 Let z(a) be the second derivative of 0*a**6 + 0*a**5 + 0*a**2 + 0 + a**3 + 0*a**4 + 1/14*a**7 + 4*a. Find the second derivative of z(o) wrt o. 60*o**3 Let x(h) = 6*h**2 + 2*h + 1. Let k be x(-1). Let j be -2 + 8/6*3. Find the first derivative of -3 + r**2 + r**2 - 5*r**j + k wrt r. -6*r Suppose -4*o + 0*o + 20 = 0. Suppose 5*p + o*k = 25, 5*k + 0 - 5 = 5*p. What is the third derivative of 4*n**3 - 4*n**3 + 3*n**2 - p*n**5 wrt n? -120*n**2 Let v = -39 + 157/4. Let h(j) be the first derivative of 0*j - v*j**4 - 2 + 0*j**3 + 1/2*j**2. What is the second derivative of h(s) wrt s? -6*s Let n(d) = d**3 - d. Let t(a) = -72*a**3 + 5*a - 10. Let i(q) = -4*n(q) - t(q). What is the second derivative of i(g) wrt g? 408*g Let z(f) be the third derivative of 0 + 1/12*f**4 - f**2 + 0*f + 0*f**5 + 1/40*f**6 + 0*f**3. What is the second derivative of z(v) wrt v? 18*v Let f be ((-18)/(-3))/3 - 0. What is the third derivative of -f + 1 + 6*u**2 + 1 - 7*u**3 wrt u? -42 Let a(t) be the first derivative of -7 - 9/2*t**2 + 0*t - t**3. Find the second derivative of a(u) wrt u. -6 Let w = 10 - 8. Find the second derivative of -2*x + 2*x**w - x**2 - 3*x**2 - x wrt x. -4 Let y(i) = 21*i**3 + 3*i**2 + 25. Let j(d) = -62*d**3 - 8*d**2 - 76. Let b(x) = -3*j(x) - 8*y(x). Find the first derivative of b(m) wrt m. 54*m**2 What is the first derivative of 4 - 1 + 5*o + 5 wrt o? 5 Let z(b) be the third derivative of -b**5/12 + b**4/8 + 7*b**2. Find the second derivative of z(r) wrt r. -10 Find the third derivative of -12*d**2 + 8*d**3 + 8*d**2 + 5*d**2 wrt d. 48 Let b(v) be the first derivative of 3*v**4 - 17*v**2/2 - 13. What is the second derivative of b(x) wrt x? 72*x Find the second derivative of -2*c**4 - 2*c**4 - 2*c - 9*c - c**4 wrt c. -60*c**2 Let k = -3 + 5. Suppose 3*p = l - 1, 2*l = l + k*p + 2. What is the derivative of -3 - l + n**3 + 6 wrt n? 3*n**2 Let k be (5/2)/((-1)/(-2)). What is the second derivative of -5*f - f**k - 2*f**5 + 2*f wrt f? -60*f**3 Let o = 6 - 1. Find the third derivative of -2*v**2 - v**5 - 3*v**o + 0*v + 0*v wrt v. -240*v**2 What is the first derivative of 36 - 9 + 8 - 10*b wrt b? -10 Let c(q) = 7*q**3 + 28. Let r(p) = 6*p**3 + 28. Let o(v) = -4*c(v) + 5*r(v). Find the first derivative of o(g) wrt g. 6*g**2 Find the second derivative of 3*b - 9*b**2 + 5*b + 3*b - 5*b wrt b. -18 Let m = 2 + -1. Let u be (m + -1 + -1)*-4. What is the first derivative of -5*w**4 - w**4 + 2*w**4 + u - 2 wrt w? -16*w**3 Let i(c) be the third derivative of -1/105*c**7 + 0*c**3 + 0*c**4 - c**2 + 1/15*c**5 + 0*c + 0*c**6 + 0. What is the third derivative of i(x) wrt x? -48*x Let i(t) = -42*t**6 + 24*t**3 + 12*t**2. Let m(a) = -a**6 + a**3 + a**2. Let w(f) = -i(f) + 24*m(f). What is the third derivative of w(g) wrt g? 2160*g**3 Find the first derivative of 42 - 955*v + 955*v + 9*v**4 - 38*v**4 wrt v. -116*v**3 Let m(s) be the first derivative of 2*s**2 - 3 - 4/3*s**3 + 0*s. What is the second derivative of m(v) wrt v? -8 Let b = -3 - -4. Let x(j) = j**3 + 5*j**2 + j + 5. Let t be x(-5). What is the derivative of -b - 2 - 3*o**3 + t wrt o? -9*o**2 Suppose 2*b - 91 = -5*f - b, -b - 63 = -3*f. Suppose 3*y = -4*w + 17, -5*w - 3*y = -f + 1. What is the second derivative of h + w*h - 3*h**3 - 3*h - h wrt h? -18*h Let b = 30 - 23. What is the second derivative of 10*r**3 - b*r - 2*r - 4*r**3 wrt r? 36*r Suppose 2*r + r + z = 5, 4*z + 4 = 0. Find the second derivative of -2*l**5 + l + 0*l - r*l**5 wrt l. -80*l**3 Let t be (-5)/2*18/(-90). Let w(k) be the second derivative of t*k**3 + 0*k**2 + 1/10*k**5 + 3*k + 0 + 0*k**4. Find the second derivative of w(v) wrt v. 12*v Let g(z) be the first derivative of -z**7/7 - z**4/2 - z - 4. Let d(w) be the first derivative of g(w). What is the third derivative of d(n) wrt n? -360*n**2 Let u(j) be the first derivative of 3*j**4/4 - j**2 + 5. What is the second derivative of u(k) wrt k? 18*k Let p(f) be the second derivative of -f**8/8 - 3*f**4/4 - 4*f. Find the third derivative of p(a) wrt a. -840*a**3 What is the third derivative of -12*n**5 + 17*n + 9*n**2 - 17*n wrt n? -720*n**2 Suppose 4*v - 4*t - 20 = 0, -4*v - 3 = -2*t - 21. Let g(o) = -o**2 + 5*o + 1. Let b be g(v). Find the second derivative of -5*w - b*w**5 + 4*w**5 + 2*w wrt w. -20*w**3 Suppose -y - 5*u + 6 = 0, 4*y - 5*u = y - 22. Let t = y - -9. What is the second derivative of -w**t + w - 3*w + 0*w wrt w? -20*w**3 Let m(n) be the second derivative of -3*n**5/10 - 13*n**4/6 - 28*n. Find the third derivative of m(x) wrt x. -36 Let r(n) be the first derivative of 2*n**4/3 + 2*n**2 + n - 7. Let z(s) be the first derivative of r(s). Differentiate z(i) wrt i. 16*i Let y(n) be the first derivative of -n**5/5 + 7*n + 20. Differentiate y(b) wrt b. -4*b**3 Let i = 5 + -1. What is the second derivative of -3*r**3 - 2*r**3 + i*r**3 - 3*r + r wrt r? -6*r Let g(b) = b**2 + b. Let l(y) = 13*y**3 - 5*y**2 - 5*y + 35. Let w(z) = 5*g(z) + l(z). Differentiate w(q) wrt q. 39*q**2 Let k be ((-12)/(-6) - 4) + (-7)/(-3). Let s(j) be the second derivative of -j**2 + 0 + 3*j - k*j**3. Differentiate s(x) with respect to x. -2 Let u(t) be the second derivative of -7*t + 0*t**5 + 0 + 0*t**3 + 0*t**2 + 7/12*t**4 - 1/30*t**6. Find the third derivative of u(s) wrt s. -24*s Let c = -4 + 13. Find the second derivative of -15*g**2 + 10*g**2 + c*g**2 - g wrt g. 8 Let n(y) = y - 3*y - 4 - 5. Let s be n(-6). Find the third derivative of -b**2 + 4*b**s - 4*b**3 + 3*b**3 - b**3 wrt b. 12 Let a(h) be the third derivative of -2*h**5/15 - 43*h**4/24 - 2*h**2 + 11. Find the second derivative of a(z) wrt z. -16 What is the derivative of 11*j**4 - 1 - 6*j**4 - 6 - 4*j**4 wrt j? 4*j**3 Suppose 0 = v, 4*d = 2*v + 3*v - 4. Let o(t) = -2*t**2 + 4*t + 5. Let p(n) = n. Let i(h) = d*o(h) + 4*p(h). What is the derivative of i(l) wrt l? 4*l Let p(q) = -q**3 - 6*q**2 - 6*q + 4. Let o be p(-5). Let m = -9 + o. Differentiate -4 + m*r**3 - 5*r**3 + r**3 + 0*r**3 with respect to r. -12*r**2 Let v(c) be the third derivative of -23*c**5/30 - 11*c**4/24 + 36*c**2. Find the second derivative of v(b) wrt b. -92 Let b(l) be the second derivative of 4*l**6/15 + l**4/4 - 10*l. Find the third derivative of b(c) wrt c. 192*c Suppose -3*c - m = -0*c - 7, 2*m - 2 = -2*c. What is the second derivative of c*j**3 + 3*j + 2*j - 2*j - 4*j wrt j? 18*j Let p(d) be the second derivative of d**7/210 + d**6/180 + d**3/6 - 3*d. Let l(v) be the second derivative of p(v). Find the third derivative of l(c) wrt c. 24 Find the second derivative of -14*f - 4*f - 3*f + 12*f**2 + 3*f wrt f. 24 Suppose 4*j = -2*d + 8, -3*j = -d + 3 + 6. Let i = d - -2. What is the second derivative of 8 - p - i - 4*p**4 wrt p? -48*p**2 What is the third derivative of 117*n**2 - 61*n**5 - 244*n**2 + 125*n**2 wrt n? -3660*n**2 Let w(t) be the second derivative of -19*t**3/6 + 67*t**2/2 - 67*t. What is the first derivative of w(x) wrt x? -19 Let j = -7/4 - -9/4. Let x(t) be the first derivative of 0*t**2 - 1/3*t**3 - j*t**4 + 0*t + 2. What is the third derivative of x(u) wrt u? -12 Let s(l) be the first derivative of 0*l**3 - 2 + 1/4*l**4 - l + 0*l**2. What is the derivative of s(r) wrt r? 3*r**2 Suppose -4*l + 8 = -0*l. Suppose 4*r = l*r. Find the second derivative of 3*s - 4*s + r*s**4 + 2*s**4 wrt s. 24*s**2 Let m(r) be the first derivative of r**4/4 + r**3 - r**2 - 4*r + 1. Let k be m(-3). What is the second derivative of -j - 2*j**2 + 0*j**k - j**2 wrt j? -6 What is the second derivative of -i**3 - 8*i**4 + i**3 - 16*i + 11*i wrt i? -96*i**2 Let j(g) = 2*g**3 + 1. Let w be j(1). Suppose 20 = t + w*t. What is the second derivative of 2*a**5 - 3*a**t + a + 2*a**5 wrt a? 20*a**3 Let b(f) be the second derivativ
{ "pile_set_name": "DM Mathematics" }
se -5*a + t - 6 = v. Are 7/2 and a non-equal? True Let t = -128 - -120. Let k(o) = -o**3 - 6*o**2 + 15*o - 7. Let d be k(t). Which is smaller: -47 or d? -47 Let z = 69 - 54. Suppose 4*o + 2 = -2*q, 11 + z = 3*o - 4*q. Let d be (-570)/(-525) - o/(-10). Is d bigger than 2? False Let t = -15 + 21. Let x be (t/(-4))/(-3)*-2. Suppose 18*i + 45 = 13*i. Is x greater than i? True Let x = -659 - -652.48. Let w = x - -6.82. Are w and 51/4 nonequal? True Let j = -4/5371 - 1713265/112791. Suppose -41 = -6*b + 49. Let y = j + b. Is 1 > y? True Let g(f) = -f**2 + 42*f - 38. Suppose -n = -h + 35, -2*h - 5*n - 20 = -125. Let k be g(h). Is 40 at least k? False Let a = -205512 + 32881619/160. Let c = a - -15/8. Is c less than 1? True Let z(t) = -31 - 8*t + 21*t - 14*t. Let m be z(-1). Which is smaller: -31 or m? -31 Let d = -0.16437 - -0.06437. Which is bigger: 19228 or d? 19228 Let a = 123083/9 + -13667. Which is smaller: a or 0.06? 0.06 Let c = -1.3 - -1.3. Suppose 0 = 4*u - a - 16, 3*u + 2*a = -a - 3. Suppose -5*g + u = -4*i + 113, 0 = 4*g - 5*i + 97. Which is smaller: c or g? g Let l = 297 + -183. Let b be 6/16*(-2)/l. Is -1 not equal to b? True Suppose -6*n + 19*n + 14205 = -27538. Is -3211 > n? False Let j = -18 + 19. Let w = 5 + -4.76. Let h = 0.15 - w. Is h < j? True Let d = -0.417 + 184.417. Let o = 183 - d. Is o at most -0.206? True Suppose 0 = 341*t - 376*t - 26355. Which is bigger: -755 or t? t Let i(g) = g**3 + g**2 - 2*g + 40. Let s be i(0). Suppose l - 11*l = s. Which is greater: -5 or l? l Let w be -162*((-11)/8)/(18/(-144)). Is w less than or equal to -1782? True Let r = 3/8507 - -875966/723095. Let g = -24/17 + r. Which is greater: g or -2/5? g Let f = -9039 + 8815. Which is bigger: f or -219? -219 Suppose 3694*j - 3696*j = -4*k + 40848, -4*j - 10191 = -k. Which is smaller: -0.1 or k? -0.1 Suppose 0 = -8*t + 9*t - 4. Suppose -2*k + k + 2*q + 6 = 0, -12 = -t*k + 4*q. Suppose k = -s + 5*s + 4. Which is bigger: s or -1/43? -1/43 Suppose 1150*h = 1127*h + 2875. Which is bigger: 128 or h? 128 Let s(g) = 3 - 1 + 75*g**2 - g - 77*g**2 + g**3. Let w be s(1). Which is bigger: w or 1/342? 1/342 Let i(j) = 8*j - 3*j + 6*j + 84 + j. Let p be i(-8). Let h be ((-6)/p)/((-4)/(-8) + -1). Is h at least -9/20? False Let t = -7694 - -1902. Which is bigger: -5793 or t? t Let z = -1/487 + 26363/13313119. Is -1 smaller than z? True Let b = 23966 - 23840. Which is smaller: b or 58? 58 Let m = -52 + 24. Let c = 33 + m. Suppose -c*j - 405 = -0*j. Is -81 greater than j? False Let q(k) = k**3 - 16*k**2 + 11*k + 16. Let r be q(15). Let a = r + 3. Let g = a - -23. Is -17 at least g? True Let i be (-297)/(-22)*4/15. Suppose 4*t - 32 + 60 = 0. Let u be -4*t/((-28)/(-3)). Is i equal to u? False Let r(l) be the first derivative of l**4/4 - 11*l**3/3 - 11*l**2/2 + 3*l - 2. Let h be r(12). Let i be (h + -13)/((-4)/2). Which is smaller: i or 2/55? i Let f be ((-1761)/(-1174))/(994/(-12)). Is 1 < f? False Suppose -3 = 3*o - 12. Suppose 4*h - 7*h - o = 0. Let k be ((-3)/2 - h)/1. Which is smaller: k or -1? -1 Let o(n) = 75*n + 29. Let g be o(-5). Let r = g - -220. Which is smaller: 0 or r? r Suppose 2*v = -2*v - 60. Let g = v - -24. Suppose -48 = 8*o - 88 - 48. Which is bigger: o or g? o Let i be -85 + 64 + (1197 - -1). Are 5889/5 and i equal? False Let g(c) = 17*c**2 + 3*c - 3. Let k(v) = v**2 - 16*v + 1. Let n be k(16). Let u be g(n). Let b = u + -23. Is b bigger than -38/7? False Let a = 24614614/739 + -33308. Let y be 1/((-2)/(1 - -1)). Is y greater than a? False Let u be (-25)/(-35) + (-8950)/2975. Is 0 less than u? False Let m = -58799 - -2057507/35. Which is smaller: m or -12? m Let l be -1 - (10/1 - -1). Let f(t) = -t**2 - 89*t + 870. Let r be f(-98). Do l and r have different values? False Let f(p) = 13*p**2 + 59*p + 222. Let s be f(47). Are s and 31712 non-equal? False Let v = -0.8697 + 0.7697. Is v equal to -7/143? False Let p be (-5052)/(-27) + (-2)/18. Let v = p - 186. Which is smaller: v or 7? v Suppose 0 = -23*a - 15*a + 570. Let m(y) = y + 10. Let d be m(-7). Suppose d*f = 4*f - 16. Does f = a? False Let j(t) = -5*t**2 + 14*t - 13. Let l be j(6). Let u be 2/8*l - 87/116. Let b be 8/(0 - (-3 - u)). Which is smaller: -1 or b? -1 Let p = 43/253 + -6/23. Let n = p + 16/55. Let t be ((-12)/(-7) - 2)*91/(-26). Is n <= t? True Let f = 7 - 4. Suppose -4*n = 0, -2*n + 2 = a + 3*n. Suppose a*c - 25 - f = -4*p, 0 = -2*p + 2. Is c <= 12? True Let q = 19297 - 21578. Which is smaller: q or 0.3? q Suppose 19 = 4*s + 7. Let h be (-25)/3 + 1/s. Let v = 2/1208397 + -37460315/4833588. Which is bigger: v or h? v Let k = 1173.7 - 1175. Let c = 11 + -8. Is c > k? True Let a(m) = m**2 - 57*m - 1369. Let d be a(-46). Which is greater: d or 3371? 3371 Let q = 11666 + -12869. Is -1206 bigger than q? False Suppose -2*d = 4*h - 38, -7*h + 5*d + 10 = -2*h. Suppose h*c - 90 = c. Let p be (-42)/(-7)*(1 - c/(-9)). Is p at least as big as 15? True Let n(b) = 91*b + 815. Let p be n(-9). Which is smaller: -130/33 or p? p Let v be 35/140 + (-1)/((-8)/(-594)). Let q be (74 + v)/(-1 + 0). Is q bigger than -4/347? True Suppose -2*s = -18*s + 800. Suppose -s = -5*i + 10. Is 13 bigger than i? True Let d be ((-309836)/203)/((-4)/14). Let k = d + -1362208/255. Which is greater: k or -1? k Let b = -547/21 - -82/3. Let y = 302 + -303. Let h be (0/(7 + -3))/((-2)/y). Which is smaller: b or h? h Let h be (1 - -2)*(-127)/(-1). Let k = -63454.1 - -63454. Is h >= k? True Let o(z) = -3 - 12*z - 2 + 12 - 8. Let s be o(7). Let k = s - -83. Is -1 greater than or equal to k? True Let a be ((-75)/(-100))/(-1 + (-14)/(-16)). Let z be 18/(-10)*10/a. Suppose -2*x + 8 = z*j - 3*x, 5*j + 15 = -4*x. Which is bigger: j or 2? 2 Let n(m) = m**2 - 584*m + 583. Let s be n(1). Which is greater: -2/8815 or s? s Let o = 28 + -21. Suppose 0 = -o*f - 0 + 14. Suppose 0*u = u + w - 7, -f*u = 5*w - 26. Which is smaller: u or 16/9? 16/9 Let g be 2/(-4) - (-1)/(-6). Let p = -23250 - -69760/3. Is g bigger than p? False Let g(c) = -c**2 + 1. Let t be g(2). Let z(w) = -w**2 + 30*w + 100. Let h be z(t). Is 0.159 smaller than h? True Let p = 488.708 + -489. Let v = 14.708 - p. Which is smaller: v or 10? 10 Let d be 18/(-81) - (-4)/18. Suppose d = -4*v + 62 + 358. Is 105 less than or equal to v? True Let s = -88461 + 24326864/275. Let g = s + -4/11. Let j = 39 - 40. Does j = g? False Suppose -29 = -5*l + q, -4*l - 2*q + 29 = 3*q. Let p be 8*l/216*-6. Is -1 equal to p? False Let y = -109 + -252. Let d = 507 + y. Is d < 146? False Let k = 612.2 - 612.3. Which is smaller: -5615 or k? -5615 Let x be (2/(-2))/(2/6). Let h be (-2)/4*(4032/106 - 2/53). Which is smaller: h or x? h Let k(f) = -251*f - 749. Let b be k(-3). Let d(j) = -j**3 + 4*j**2 - 4*j + 1. Let r be d(3). Let h be (b/((-8)/50))/((-2)/r). Is -27 greater than or equal to h? False Let z be 2163*(86/1333 - 502/93). Is -11537 at most as big as z? True Suppose 3*u + 3 = 0, -5*s = 3*u + 2*u - 20. Let f(n) = -6*n**2 - 4*n - 2. Let p be f(-2). Let b be ((-9)/(-6))/((-9)/p). Which is smaller: s or b? b Suppose 3*o + 72 = 3*w, 0*w + 70 = -5*o - 5*w. Let d(i) = -167*i - 7516. Let z be d(-45). Which is bigger: o or z? z Let k be (-19)/5*18*70/252. Is -28 < k? True Suppose 10*o - 6*o = f - 586, -298 = 2*o - 3*f. Let j(s) = 6*s - 31. Let p be j(-19). Is p bigger than o? True Let j(o) = 2*o**2 - 74*o + 57. Let r be j(38). Suppose 119 = -2*z - r. Is z at least as big as 0? False Let j be 3*(-4)/(-30) + 2387/(-1705). Which is greater: -1/1188 or j? -1/1188 Let d = 1.1 + 0.9. Which is smaller: d or 45/29? 45/29 Let j be (2 - (-3)/2)*-2 + -3. Suppose 3*d = -5*d + 104. Suppose 5*z + d = g, 6*z + 15 = -3*g + 3*z. Is g greater than or equal to j? True Let i be ((6 - 6)/(-5))/(24 - 15). Which is greater: 86/151 or i? 86/151 Let d(z) = -2*z**2 + 2*z + 2. Suppose 0*f - 22 = -11*f. Let a be d(f). Let q be 176/80 + (-18)/(-10) + a. Which is greater: q or 26/9? 26/9 Suppose 0 = 5*u - 5*h, -2*u - 7 = 2*u + 3*h. Let k be ((-40)/50)/((15/((-750)/20))/(2/31)). Is k greater than or equal to u? True Let q = -111.3 - -133. Let z = -4.3 - q. Which is bigger: z or -5/3? -5/3 Let a = 99061010/26997 - 6/8999. Is 3669 < a? True Let j = 1422491 - 1422484. Suppose -v = v + 2. Let y = v - -8. Is j at least as big as y? True L
{ "pile_set_name": "DM Mathematics" }
.5 d Let f = -2.67 - 0.27. Let q = f - 0.06. Let z = -9.04 - -9. Which is the third biggest value? (a) z (b) q (c) -1 b Suppose 3*h + m = -566, -5*m - 13 + 549 = -3*h. Let f be (102/h)/((-3)/33). What is the fourth smallest value in -7, f, 2, -0.2? f Suppose 15*v = 11*v + 656. Let x be v/(-287) - (-1 + (-41)/(-63)). Which is the third biggest value? (a) -4 (b) -27 (c) x b Let s(d) = -74*d**2 - 1. Let h be s(-1). Let q = -296404 - -296403.8. Which is the second smallest value? (a) q (b) -2/5 (c) h b Let k = -5529 + 5532. Which is the fifth biggest value? (a) -5/2 (b) -6 (c) k (d) -1/7 (e) -4 b Let n(f) = 64*f + 1278. Let d be n(-20). Which is the second smallest value? (a) d (b) -17 (c) -4 c Let p be 2/((61/366)/(1/3)). What is the fourth smallest value in -3, -0.076, p, -1/5? p Let q = 0.5 + -1. Let x = 1.52 - 1.42. Let v be ((-1)/(18/32) - -2)/((-688)/(-1548)). Which is the third biggest value? (a) q (b) x (c) v (d) -3 a Let l = -899 + 911. Let k = -0.36 + -17.64. Let s = k + l. What is the biggest value in s, 0.2, -1? 0.2 Let u(w) = -26*w + 8. Let k be u(8). Let o be (-4 + (-832)/k)*(-10)/4. Let m = -31 - -54. Which is the third biggest value? (a) 4 (b) m (c) 0.5 (d) o c Let i = -384/11 - -35. Let v(t) = -t**3 + 54*t**2 - 61*t + 29. Let o be v(53). Let s = o - -397. Which is the smallest value? (a) s (b) i (c) 0 c Let q be 3 + (-25000)/35 - 6/(-21). Let v be -4*q/(-396) + 7. Which is the fourth smallest value? (a) 11/5 (b) v (c) -0.1 (d) 0.3 a Let d = -0.2 - 1.8. Let k be -21 - 0 - (148 + -168). What is the third smallest value in 4, k, 0.5, d? 0.5 Let w = -3359 - -3376. Which is the third smallest value? (a) w (b) -47 (c) -0.5 a Let u = -1.886 + 1.896. Let y = -20 + 32. What is the third smallest value in y, u, 0.3? y Let k = -19/7 + 107/42. Let r = -9135 - -1269767/139. Which is the second biggest value? (a) r (b) k (c) -0.5 b Let z = 251.8 + -246.8. Let b = -32.2 + 31. What is the smallest value in z, 0.1, b? b Let i = 2691.2 - 2688.2. Which is the fourth smallest value? (a) -0.3 (b) i (c) -5/6 (d) -5 (e) -1.7 a Let s = -7 - -12. Let o = 4.3 + -11.5. Let x = -8.2 - o. What is the biggest value in x, s, 0.4? s Suppose 0 = -3*i - 29 + 5. Let f be i/(-36) - 40/45. Let k = 0 + -7. What is the second biggest value in f, 3/2, k? f Let z(y) = -2*y**3 + 19*y**2 + 58*y - 481. Let v be z(10). What is the biggest value in 0.2, v, 5, -3, 2/59? 5 Let x = 0.4393 - 0.2393. What is the third smallest value in 0.3, 1/58, x, 2.3? 0.3 Let m = 161.75724 - -0.24276. Which is the smallest value? (a) 4 (b) 8 (c) m a Let i = -108.89 - -104.89. What is the third biggest value in i, -285, 4? -285 Suppose 6*n = 89 - 89. Let b = 64.2 + -66. What is the third biggest value in n, b, -5, -2/9? b Let w = 2698.4 + -2698. What is the biggest value in w, 2/17, -178, -4, -4/7? w Let r = 3859 + -3862. What is the third smallest value in r, 1, 37, -1/3? 1 Let t(p) = -3*p**3 + 13*p**2 + 36*p - 33. Let o be t(6). Which is the fourth biggest value? (a) o (b) -2 (c) -0.3 (d) -0.16 b Let o = 296 - 38. Let t = 261 - o. Let w = 3.1 - 3. What is the third biggest value in w, t, -1/2? -1/2 Let c = -157.51 - -108.48. Let k = -1.03 - c. Let i = 1350 - 1355. What is the second biggest value in k, i, -3? -3 Let l = -0.12 - 6.18. Let y = l + 6.4. Which is the smallest value? (a) 3/2 (b) y (c) 0.2 b Suppose 3809 = 26*s - 2223. Let g = s - 229. Which is the third smallest value? (a) -13 (b) g (c) -0.2 (d) 0.4 d Let q be (-7348)/36 - (-1)/3. Suppose -175*a + 168*a - 1428 = 0. Let j = a - q. What is the third smallest value in 1/6, 0, -5, j? 0 Let n = -1111 - -1113. What is the third smallest value in n, -243, -1? n Let a be ((1*-10)/(-2))/(-1). Let u = 0.527 - 274.527. Let n = 274.5 + u. What is the fourth smallest value in n, a, -0.01, 1? 1 Let m be (11 - (-279)/(-27))/(-3). What is the biggest value in 7/166, m, -2, -0.3? 7/166 Let f = -1121.9 - -1124.9. What is the smallest value in -2812, -2/3, f? -2812 Let v = 668/3 + -224. Let o = -0.171 + 2.171. What is the fourth biggest value in -2/7, v, o, 5? v Let w = -13.3172 + -1.6828. Let l = -3 + 7. Let t = 3.9 - l. What is the biggest value in t, w, -1? t Let t = -251272/11 - -22843. What is the second smallest value in t, -14, 5? t Let u be 1 + -8 + 16 - 9. Let h = 29/252 + 2339/1260. Let m = h + -12/5. What is the second smallest value in 2/3, -3, u, m? m Let w be (0 - (-3 + 4)/1)*-4. Let p be 2/(-4) + ((-189)/(-690) - -1). Let l = p - 4/23. What is the third biggest value in 0.2, w, -0.8, l? 0.2 Let a = 3109 - 3108. What is the second biggest value in -1/2, a, -0.06, 5, 3? 3 Suppose -5*m = -m + 2*k + 1090, -805 = 3*m - k. Suppose -3*y - 8 = y. Let q be y/(-28)*-5*m/225. What is the fourth smallest value in -2, q, 0.2, -5? q Let w = -1781 - -1781. Suppose l + 10 = -4*l. Let j = -0.035 - -0.125. What is the third smallest value in w, l, j? j Let f(r) = -r**2 + 4*r + 2. Let o be f(3). Suppose -5*k + t + 20 = -t, -o = 5*k + 3*t. Let a be 16/(-40) + 39/60. What is the biggest value in k, 3/2, a? k Let w = 5.628 - 4.628. Which is the biggest value? (a) -65 (b) -2/7 (c) 2 (d) w c Let j = 54 + -60.8. Let y = j + 6.9. What is the third smallest value in y, 0.22, 3? 3 Suppose -43320*l + 64 = -43336*l. Which is the fourth smallest value? (a) 3/5 (b) 0.3 (c) -4/101 (d) -2 (e) l b Let a = 5 + -4.915. Let b = 0.415 + a. Let r = 2012/3729 - -2/339. What is the third biggest value in r, -1/3, b? -1/3 Let h = 271.5 + -270. Let u = 658.9 - 659. What is the biggest value in 2, h, u? 2 Suppose 49 = -14*k - 27 + 6. Which is the smallest value? (a) 1/5 (b) -309 (c) 1/3 (d) k (e) 0.1 b Let c = 61/91 - 5/13. What is the smallest value in 3, -2/13, c, 5? -2/13 Let l be 28/(-11)*(-4)/((-72)/(-1359)). Let u = l + -192. Which is the third smallest value? (a) 0.2 (b) u (c) 0.5 c Let m = -5.8 - -10.3. Let r = 4.24 - m. Which is the biggest value? (a) -3 (b) 0.1 (c) 5 (d) r c Let t = 4.81 - 4.98. Let n = -3.3 - -21.3. Let q = -17.7 + n. Which is the smallest value? (a) t (b) -1/6 (c) q (d) 3/7 a Let v be (-85)/6 + (-13)/(-78). Let q(y) = -3*y - 39. Let k be q(v). Let f = 4.4 - 4. Which is the smallest value? (a) k (b) 1 (c) f (d) -5 d Let b = -36.49 + 5.39. Let r = 28.5 + 2.5. Let k = r + b. What is the third smallest value in -4, k, 8? 8 Let p = -2 + 5. Suppose 86*n = -156*n + 968. What is the biggest value in p, -0.25, -5, n? n Let x be 22/(-407) + (-535)/370. Which is the smallest value? (a) x (b) -0.5 (c) 5/204 a Let h = -70.241 + -0.259. Let s = h + 71. What is the second biggest value in s, -1/13, 2/7? 2/7 Let d(p) = -p**3 + 6*p**2 - 3*p - 6. Let z be d(6). Let j = 85/769 + 1627/6152. What is the second smallest value in -1/2, z, j? -1/2 Let m be (-39)/189 + 2/(-9). Let p be (-8)/28 - 5*(-185)/175. Which is the third smallest value? (a) m (b) -4 (c) p c Let d be -29 + 21 - (11 - 2). What is the fourth biggest value in 0.2, -10/11, d, 2/11? d Let p be (77 - 77)*1/(-8). Let x = 5.2 - 5.4. Which is the smallest value? (a) x (b) p (c) -2/21 a Let p = -3.26 + -0.18. Let v = p - -0.44. Let d = 93 - 95. What is the third smallest value in -4, v, d, 2? d Let n = 0.08 - -3.92. Let c = -80085 - -160175/2. What is the biggest value in 2/11, c, 14, n? 14 Let v be ((-245)/(-196))/(-1 + 1223/1300). Let z = -149/7 - v. What is the fourth biggest value in -39, -1/3, 2/3, z? -39 Let j = 10.063 + -8.063. Let o = 50 + -49.97. Which is the second smallest value? (a) j (b) o (c) 2/7 c Suppose 0 = -p + 5*m - 2*m - 418, -5*m + 426 = -p. Let v = 2061/5 + p. Let t = v + -311/55. What is the second biggest value in 0.3, -1/6, 0.1, t? 0.3 Let z = 7212 - 8029. Which is the third biggest value? (a) 0.1 (b) 2 (c) 2/3 (d) z (e) 1/5 e Let s = -964 + 940.5. What is the fourth smallest value in s, 0.5, -1/6, 2/15? 0.5 Let h = -821111/3 + 273703. Let s = -2.95 - 118.05. Which is the third smallest value? (a) h (b) s (c) -1/3 c Let z = 7269.5 + -7270. What is the biggest value in 0.14, z, 15.7? 15.7 Let n = 2.2 - 2. Suppose 36 - 32 = -2*w. Let i be 4*w/36*-9. Which is the fourth biggest value? (a) i (b) -1/4 (c) -0.6 (d) n c Let p = -0.2823 - -42.2823. Which is the second smallest value?
{ "pile_set_name": "DM Mathematics" }
*2 + 1. Determine f*k(a) - 2*n(a). 6*a**2 Let h(b) = 26*b**2 - 125*b - 5. Let l(x) = -25*x**2 + 140*x + 6. Give -6*h(c) - 5*l(c). -31*c**2 + 50*c Let h be (-14)/8*1228/307. Let t(r) = -34*r**3 + 3*r**2 + 2*r. Let q(m) = 67*m**3 - 5*m**2 - 4*m. What is h*t(a) - 4*q(a)? -30*a**3 - a**2 + 2*a Let p(r) = -3*r**2 - 18*r + 17. Let s = -305 - -288. Let b(d) = d**2 + 6*d - 6. Let o = 58 - 64. Determine o*p(t) + s*b(t). t**2 + 6*t Let n(u) = -292*u**3 + 6*u**2 + 3*u - 84. Let y(x) = -x**3 - x**2 - x + 21. What is -n(i) - 4*y(i)? 296*i**3 - 2*i**2 + i Let p(g) = 30*g**2 - g + 17. Let w(t) = -119*t**2 + 5*t - 78. Give -9*p(u) - 2*w(u). -32*u**2 - u + 3 Let b(o) be the first derivative of 2*o**2 + 3*o - 1443. Let d(n) = 2*n + 1. Let r(w) = 6*w**3. Let y be r(-1). What is y*b(p) + 13*d(p)? 2*p - 5 Let s(r) = 9*r**3 + r - 6. Let f(y) = -19*y**3 - 2*y + 13. Suppose -17*a + 14 = -15*a - 5*o, -55 = 3*a + 2*o. Determine a*s(n) - 6*f(n). -3*n**3 - n Let s(o) = -2*o**3 - 3*o**3 - 21*o + 21*o - 5*o**2 + 15 + 11*o**3. Let u(p) = -7*p**3 + 6*p**2 - 14. Calculate -6*s(h) - 5*u(h). -h**3 - 20 Let k(o) = 10229*o**3 - 6*o**2 + 3*o - 6. Let a(j) = 87069243*j**3 - 51070*j**2 + 25535*j - 51070. Determine 3*a(i) - 25535*k(i). 10214*i**3 Let y(x) be the first derivative of -3*x**2/2 - 27*x + 965. Let n(v) = -4*v - 41. Calculate 5*n(g) - 7*y(g). g - 16 Let s(v) be the third derivative of -5/6*v**3 - 14*v**2 + 5/24*v**4 + 0 + 0*v. Let q(a) = 6*a - 6. Calculate -4*q(p) + 5*s(p). p - 1 Suppose -2*t + 96 = 102. Let q(x) = -x**3 + 1. Let z(h) = 5*h**3 - 1. What is t*z(w) - 3*q(w)? -12*w**3 Let x be (569 + -3)*2*(-5)/20. Let u = 284 + x. Let f(j) = -1. Let a(v) = -3*v + 8. What is u*a(d) + 6*f(d)? -3*d + 2 Let g(w) = 172*w**2 + 11*w + 18. Let u(r) = 175*r**2 + 10*r + 15. Calculate 5*g(t) - 6*u(t). -190*t**2 - 5*t Suppose -4*l + 42 = 2*n, -3*n - 47 = -l - 33. Let r(c) = 29*c**3 - 2*c - 2. Let i(b) = 145*b**3 - 11*b - 11. Calculate l*r(j) - 2*i(j). 29*j**3 Let n(m) = 2085 - 682 - 704 - 685 + 8*m. Let o(f) = 3*f + 5. Suppose 0 = 2*c - 10, 0 = 5*b + c - 5 + 30. What is b*n(h) + 17*o(h)? 3*h + 1 Let f(m) = -17*m**2 + 35*m - 1. Let n(i) = 33*i**2 - 86*i + 1. Let y(p) = -5*f(p) - 2*n(p). Let z(l) = -968*l**2 + 154*l - 154. What is 154*y(h) + 3*z(h)? 22*h**2 Let u(n) be the first derivative of 27 - n + 3/2*n**2. Let w(q) = 2*q - 1. Determine -5*u(v) + 6*w(v). -3*v - 1 Let g(l) = -8*l**3 + 3*l**2 + 4. Let w(p) = 7*p**2 + 4404 - 4395 - 8*p**3 - 6*p**3. Let f(v) = -7*g(v) + 3*w(v). Let q(n) = -5*n**3. Give 2*f(j) + 7*q(j). -7*j**3 - 2 Let v(r) = r**3 + 3*r**2 + 3203*r - 8. Let m(x) = 2*x**3 + 8*x**2 + 9607*x - 22. Calculate -3*m(h) + 8*v(h). 2*h**3 - 3197*h + 2 Let x(a) = a + 7. Let k(t) = 375*t - 34. What is k(z) + 5*x(z)? 380*z + 1 Let t(n) = n**2 - 16*n - 1091. Let b be t(42). Let f(l) = -l**2 + 1. Let v(p) = 6*p**2 - 3*p + 1. What is b*f(u) - v(u)? -7*u**2 + 3*u Let v(u) = -7*u**3 - 5*u**2 + 13*u + 15. Let h(a) = 4*a**3 + 3*a**2 - 7*a - 9. Calculate -5*h(p) - 3*v(p). p**3 - 4*p Let k(c) be the first derivative of c**4 - 2*c**3/3 - 5*c**2/2 - 5*c + 188. Let q(a) = 5*a**3 - 2*a**2 - 6*a - 6. Determine -6*k(v) + 5*q(v). v**3 + 2*v**2 Let l(k) = k**2 + 14*k - 1. Let p(f) = -7*f**2 + 126*f - 66. Calculate -9*l(o) + p(o). -16*o**2 - 57 Let c(k) = -58*k + 29. Let d(q) = 175*q - 80. Give -11*c(z) - 4*d(z). -62*z + 1 Let k(t) = 2*t**2 - t + 1. Let f(v) = -24*v**2 - 40*v + 24. What is -f(m) + 24*k(m)? 72*m**2 + 16*m Let b(p) = 1757*p**2 - 2*p + 2. Let z(r) = 40420*r**2 - 47*r + 47. Calculate -47*b(a) + 2*z(a). -1739*a**2 Let n(k) = 10*k - 95. Let s(o) = -17*o + 144. Determine -8*n(v) - 5*s(v). 5*v + 40 Let x(m) = -7*m**3 - 3*m**2 + 3. Suppose -30 = -6*p + 30. Suppose 5*w + 0*v = -5*v - 15, 4*v + p = -5*w. Let h(q) = q**3 + q**2 - 1. What is w*x(a) + 6*h(a)? -8*a**3 Let s(d) = 45*d**2 + 37*d + 1. Let o(q) = 83*q**2 + 76*q + 1. Determine -3*o(p) + 5*s(p). -24*p**2 - 43*p + 2 Let m(z) = 32*z**3 + 3*z**2 + 3. Suppose -32 = 56*u - 168 - 32. Let i(l) = 2400*l**3 + 224*l**2 + 224. What is u*i(v) - 224*m(v)? 32*v**3 Let r = 5 - 8. Let w(b) = 4*b**2 - 3*b. Let v(s) be the third derivative of 32*s**2 - 1/6*s**3 + 0*s - 1/6*s**4 + 1/12*s**5 - 4. Calculate r*v(x) + 4*w(x). x**2 + 3 Let d(j) = 4046*j**2 + 7*j - 9. Let u(p) = 2019*p**2 + 4*p - 5. What is -6*d(l) + 11*u(l)? -2067*l**2 + 2*l - 1 Let z(n) = -3*n**2 - n - 7. Let q(y) = -15*y**2 - 5*y - 35. Let v(f) = -2*q(f) + 11*z(f). Suppose 46*h = -1 + 231. Let i(u) = -u**2 - 3. Give h*i(m) - 2*v(m). m**2 + 2*m - 1 Let r(y) = 49*y + 20. Let d(i) = 45*i + 21. Give -6*d(v) + 5*r(v). -25*v - 26 Let x(b) be the third derivative of b**6/120 + b**5/10 + 7*b**4/24 - 2*b**3/3 + 60*b**2 + 1. Let k(a) = 3*a**3 + 17*a**2 + 20*a - 12. Give -6*k(i) + 17*x(i). -i**3 - i + 4 Let t(r) = -2 - 33*r - 34*r - 32*r + 136*r - 36*r. Let l(f) = 2*f - 3. Let h(q) = q**3 - q**2 + q - 2. Let m = -4 + 6. Let x be h(m). Calculate x*t(b) - 3*l(b). -2*b + 1 Let v(w) = -3 - w - 2*w + 5 + 5*w. Let f = -2272 + 2276. Let a(x) = 2*x + 3. Determine f*v(q) - 3*a(q). 2*q - 1 Let f(q) = 8*q**3 + q**2 - 4*q + 6. Let r(n) = 16*n**3 + 3*n**2 - 10*n + 12. Calculate -5*f(u) + 2*r(u). -8*u**3 + u**2 - 6 Let g(z) = 8*z - 9. Let t(q) = 36873*q - 39042. Calculate -4338*g(i) + t(i). 2169*i Let w(c) = -20*c + 6. Let k = 40 - 43. Let r be ((-704)/110)/((-4)/10)*1. Let p(z) = -4*z + 1. Calculate k*w(h) + r*p(h). -4*h - 2 Let f(y) = 2534*y + 2. Let g(t) = 1276*t + 1. Calculate 6*f(o) - 11*g(o). 1168*o + 1 Let a(t) = 448*t - 56924. Let x be a(127). Let b(f) = 105*f - 28. Let n(p) = 16*p - 2. Let v(l) = l - 1. Let q(i) = -n(i) - 3*v(i). Give x*q(d) - 5*b(d). 7*d Let u(i) = -14*i**3 + 2102*i**2 - 56*i - 8. Let j(k) = -19*k**3 + 2803*k**2 - 77*k - 11. What is 8*j(h) - 11*u(h)? 2*h**3 - 698*h**2 Let f(k) = 51*k - 45*k - 14*k**3 + 57922*k**2 + 4 - 57922*k**2. Let q(n) = -n - 1. Determine f(s) + 6*q(s). -14*s**3 - 2 Let s(h) = 9*h + 2. Let o(f) = 1 - f - 9*f - 4. Suppose 111*y - 270 + 48 = 0. What is y*o(t) + 3*s(t)? 7*t Let p(t) = -16*t**2 + 6*t - 38. Let i(k) = 15*k**2 - 5*k + 27. Give 7*i(l) + 6*p(l). 9*l**2 + l - 39 Let x(d) = -2*d - 1. Let p(y) = 6*y + 3. Let j(n) = 8*p(n) + 23*x(n). Let o(h) = h. Give -4*j(r) + 11*o(r). 3*r - 4 Let a(s) = -4 - 1 + 4. Let u(i) = 2*i - 6*i - 17812 + 3*i + 17810. Calculate 2*a(d) - 2*u(d). 2*d + 2 Let l be (-7)/(63/(-24)) - 6/9. Let v be 25/((-25)/5) - -1*l. Let g(o) = 3*o + 3. Suppose 142*b + 4 = 143*b. Let a(w) = 2*w + 2. What is b*a(k) + v*g(k)? -k - 1 Let n(h) = -780*h**2. Let z(t) = -11*t**2. Let u be 1050/150 + -2 + (1 - 1). Suppose -12 = -3*f - 3*a, a - u*a = -4*f. What is f*n(x) - 143*z(x)? 13*x**2 Let p(n) = -n**2. Let h(t) = -4*t**2 + 2*t - 1. Let d(f) = -689 - 6*f + 669 + 13*f. Let k be d(2). Calculate k*p(q) + h(q). 2*q**2 + 2*q - 1 Let r(b) = 19*b**2 + 2*b. Let x(z) = -24298499 + 23*z**2 + 4*z + 14*z**2 + 24298498. Give 5*r(v) - 2*x(v). 21*v**2 + 2*v + 2 Let q(a) = a + 748. Let o(r) = -3*r - 1481. Give -3*o(h) - 7*q(h). 2*h - 793 Let w(k) = 3290*k + 78. Let i(r) = 658*r + 14. What is 11*i(x) - 2*w(x)? 658*x - 2 Let b(z) = 3*z**2 - 5*z - 6. Let v(t) = 2*t**2 - 3*t - 3. Let u be (-223)/(-5) + (-9)/15. Let c = 31 - u. Let l = 8 + c. Give l*v(q) + 3*b(q). -q**2 - 3 Let o(u) = -2*u**2 + 5*u - 19. Let t(f) = 4*f**2 - 22*f + 54. Let v(h) = -15*h**2 + 92*h - 215. Let m(x) = 9*t(x) + 2*v(x). What is 5*m(p) + 14*o(p)? 2*p**2 + 14 Suppose -4*y + 5 = -3. Let p(w) = 19*w**2 + 28*w**2 - 76*w**2 + 3*w - w**3 + 26*w**y. Let x(c) = 3*c**3 + 11*c**2 - 11*c. Determine -22*p(t) - 6*x(t). 4*t**3 Let i(o) be the first derivative of -8*o**3/3 - 5*o**2/2 + 4*o + 471. Let p(b) = 15*b**2 + 9*b - 9. Determine -9*i(l) - 5*p(l). -3*l**2 + 9 Let m(l) = -3*l**2 + 2*l. Let d(i) = 1. Suppose 1863 = -5*v + w + 1845, 2*v = -w - 3. Give v*d(p) + m(p). -3*p**2 + 2*p - 3 Suppose j - 4 = 5*q + 4, -q = 4*j - 11. Let p(d) be the first derivative of d**3/3 + 3*d**2/2 + 7*d - 313. Let n(h) = -h - 1. What is q*p(t) - 4*n(t)? -t**2 + t - 3 Let q(p) = 15*p - 132. Let w(g) = -37*g + 315. Let y(s) = -12*q(s) - 5*w(s). Let i be (-4)/6 + (-19)/3. Let h(b) = 4*b + 8. Give i*h(k) + 6*y(k). 2*k - 2 Let g(z) = 2*z - 7. Let y(u) = u**2 + 2*u - 3. Let r be y(2). Let t(n) be the second derivative of -n**3/2 + 4*n**2 - 1822*n
{ "pile_set_name": "DM Mathematics" }
t v(h) = -h**2 - 20*h - 3. What is the smallest common multiple of v(-13) and 12? 264 Suppose o + 12 = 3*o. Calculate the least common multiple of 16 and o. 48 Let l = 8326/4917 - 13/149. Calculate the common denominator of l and 41/33. 33 Let o(k) = k + 8. Let x be (4/8)/(1/(-12)). What is the lowest common multiple of 6 and o(x)? 6 Suppose 5*d + 4*s - 18 = 0, 28 = 5*d - 5*s - 17. Calculate the smallest common multiple of 14 and d. 42 Let u = 3681 + -33164/9. Let n = -9241/9 - -1030. Find the common denominator of u and n. 9 Suppose -14 - 6 = -4*g. Suppose 0 = -g*h + h + 32. Let a(k) = -k**2 - k + 9. What is the smallest common multiple of h and a(0)? 72 Let p be (-24)/5*(-975)/(-70). Let j = -1531/14 - p. Find the common denominator of (-97)/4 - 27/(-9) and j. 4 Let x = 7214 - 43433/6. What is the common denominator of -27/11 and x? 66 Let l = 36 - 20. Let v be (-3)/3 + 2*1. Suppose -5*h = -v - 29. What is the least common multiple of h and l? 48 Suppose 5*z + 3*m + 6 = 0, 0 = -3*z + 3*m + 4 + 2. Suppose 3*v - 6*v + 24 = z. Calculate the lowest common multiple of 10 and v. 40 Let u = 3649/5 + -733. What is the common denominator of u and 12? 5 Let b = -52907/84 + 4343/7. Let m be 2/(-4)*7676/4. Let j = 937 + m. What is the common denominator of j and b? 12 Let c = 445/7 - 2369/42. Find the common denominator of -89/24 and c. 24 Let f be (-29)/(-6) + (-4)/(-24). Suppose 0 = -x + f*x - 128. Calculate the least common multiple of 8 and x. 32 Suppose 0 = 4*a - 62 - 26. Let v = 3 + -3. Suppose -2*s + v*s = -12. Calculate the least common multiple of a and s. 66 Let f = 1107/7 + -1132/7. Calculate the common denominator of f and 37/8. 56 Let m = -25403/18 - -1409. Let z be 1*-2 + 32117/18. Let f = 1784 - z. Calculate the common denominator of m and f. 18 Suppose w + 0 = 8. Suppose 2*d = 4*d - 2*n - w, 4 = -2*n. Suppose -d*t + v + 34 = 0, 2*v - v + 82 = 5*t. Calculate the least common multiple of 18 and t. 144 Let s = -2591/5 + 2081/4. Calculate the common denominator of s and -31/20. 20 Calculate the common denominator of 37/9 and 3/(1 - 2)*(-45)/(-21). 63 Let d(g) = 3*g - 4. Let m be 276/27 + 4/(-18). Suppose m = 3*p - 5. Calculate the least common multiple of p and d(5). 55 Suppose 12 = -4*w, -4*g - 2*w + 3 = 1. Let l(i) = i**3 + 6*i**2 - 8*i - 3. What is the least common multiple of g and l(-7)? 4 Suppose 0*j + 5*j - 10 = 0, 2*u + j = 10. Suppose i = -5 + u. Calculate the common denominator of (i - 1)*(-1)/32 and -63/16. 16 Suppose 6*r - r = -4*z + 41, -9 = -z - r. Suppose 3*w = 4*t - 52, -3*t = -w - 40 - z. Find the common denominator of t/11 - (-2)/(-4) and -35/2. 22 Suppose 0 = -4*n - 4258 + 11290. Let l be 21031/(-12) - 1/4. Let d = l + n. Calculate the common denominator of d and -69/2. 6 Let q = -3/340 - 4121/170. Calculate the common denominator of q and 5/8. 8 Suppose 4*f - 8 = 2*f. Suppose -12 = -2*w + 2*a, 2*w - 32 = -2*a - f. Calculate the lowest common multiple of 18 and w. 90 Find the common denominator of -16/9 and (-364)/(-78)*(-3)/(15/2). 45 What is the smallest common multiple of (-1 + 13)*(-16)/(-12) and 74? 592 Let n be 0/(-2) + (0 - -1). Let l be 35/n - (-2 + 1). Suppose -34 = -5*r + l. What is the least common multiple of 8 and r? 56 Let x(t) = 2*t**2 - 3*t + 2. Suppose 2*b - 12 = -4*n, -5*b = n - 0*b - 3. Calculate the least common multiple of 6 and x(n). 66 Let w = -42 + 60. What is the smallest common multiple of w and 9? 18 What is the common denominator of ((-12)/64)/(12/(-316)) and (-250)/(-24) - 0/5? 48 Let m = -115 + 133. What is the lowest common multiple of 6 and m? 18 Let i = -164045/12 + 13659. Calculate the common denominator of i and (-7)/(-1)*14/8. 12 Let t(u) be the second derivative of -u**5/20 + u**4/12 - 19*u**2/2 + 3*u. Find the common denominator of 39/2 and t(0). 2 Suppose 54 = 3*a - 3*f, -a - f + 30 = 4*f. Suppose 2*y - 8 = 16. What is the lowest common multiple of y and a? 60 Let j = 2204 + -15482/7. Calculate the common denominator of j and 28/5. 35 Suppose -2*k + 2*x = 2, -4*x + 3*x = 5*k + 17. What is the common denominator of ((-2)/(-12))/(k/453) and -7/18? 18 Let k = 81 - 61. Calculate the smallest common multiple of 16 and k. 80 Let t = 11 - 9. Suppose -b + 26 = -5*d, -t*d = -3*b - 24 + 76. Calculate the smallest common multiple of b and 18. 144 Suppose -20 = -m - 5*u, 3 - 5 = -u. What is the lowest common multiple of m and ((-30)/(-4))/(6/8)? 10 Let y = 2081887/631314 + -1457/729. Let o = -2/2165 - y. Find the common denominator of -9/10 and o. 10 Suppose 5*g - 2 = 8. Suppose g*w - 8 = -j, 3*j + 3*w = -2*j + 40. What is the lowest common multiple of 2 and j? 8 Let k = 2566051 - 987931754/385. Let h = k - -8/77. Calculate the common denominator of h and 77/10. 10 Suppose -6*h + 78 = 3*t - 2*h, 5*t - 5*h = 95. What is the lowest common multiple of t and 16? 176 Let f be (-24 - -1)/(10/10). Let m = f + 26. Calculate the smallest common multiple of m and 4. 12 Let n = 1577827/258 + -18350/3. Calculate the common denominator of 119/18 and n. 774 Let j(n) = -4*n. Let h be 83/5 - (-8)/20. Suppose 0 = -4*y + h + 23. What is the least common multiple of j(-3) and y? 60 Suppose 2 = -2*u + 22. What is the smallest common multiple of 6 and u? 30 Suppose 2*y + 0*y = 0. Suppose -3*x + 5*m = -24, -x + y*m + 8 = -m. What is the smallest common multiple of 2 and x? 8 Find the common denominator of (8/(-144))/(2/303) and 2/(-6) - 125/18. 36 Let d(u) = u**2 + 5*u + 4. Let i be d(-7). Calculate the smallest common multiple of 1 and 26/6 + (-6)/i. 4 Let f(s) = -s - 2. What is the smallest common multiple of f(-6) and 18? 36 Suppose 4*r = 6 + 2. What is the lowest common multiple of r and 2? 2 Suppose -1 - 9 = -b. Calculate the smallest common multiple of b and 3. 30 Suppose 0 = -4*o + 20. Suppose 5*z = -2*f - 64, o*z + 4*f = 4*z - 20. What is the common denominator of 2/z + (-17)/(-21) and 19/10? 70 Let x(v) = -14*v - 26. Calculate the least common multiple of x(-13) and 2. 156 Let q = -8 - 1. Let b be (-3)/q + (-42767)/60. Let r = 718 + b. Find the common denominator of r and 29/16. 80 Suppose 0*n = 19*n - 152. What is the least common multiple of 8 and n? 8 Let l = 1 + 6. Let o = -9 - -17. Let d(i) = i**2 - 6*i - 10. Calculate the least common multiple of d(o) and l. 42 Let h = -932/15 - -163/3. What is the common denominator of h and 48/5? 5 Let s(k) = k**2 + 11*k - 8. Let d be s(-12). Let h(x) = 5*x + 2. What is the least common multiple of h(d) and 8? 88 What is the common denominator of 14/2*(-32)/(-48) and -9? 3 Suppose -43 = -3*x + 2. Suppose x = -5*c - 3*t + 50, 0 = -4*c - 4*t + 20. Let n = 2 + 4. What is the lowest common multiple of n and c? 30 Find the common denominator of ((-2)/1)/((-16)/14) and (0 + 84/27)*-6. 12 Find the common denominator of 123/40 and 1 + (-1158)/240 + 5. 40 Let b be -3 + (3 - -2) + -3. Calculate the least common multiple of 3 + b - (3 + -2) and 10. 10 Suppose -4*p + p = -708. Find the common denominator of (-9)/6*p/12 and 137/6. 6 Suppose -p + 3*r = 3*p - 37, -2*r + 15 = 3*p. Calculate the smallest common multiple of p and 11. 77 Suppose -7 = -2*i + 21. Let s = i + -10. Let p(v) = v**3 - 4*v**2 + v + 2. What is the least common multiple of p(s) and 4? 12 Let z = -196 - -340. What is the common denominator of 12/(-54) + 491/z and 89/20? 80 Let g(q) be the second derivative of q**3/3 + 2*q**2 - 3*q. Let u be g(3). Calculate the common denominator of 109/(-5)*u/(-12) and 13/2. 6 Let h = 13 - 9. Suppose -h*w + 6 = -26. Calculate the lowest common multiple of w and 8. 8 Let f(r) be the third derivative of r**5/60 + 7*r**4/24 - 13*r**3/6 + 3*r**2. What is the least common multiple of 2 and f(-9)? 10 Let u be (-1)/((-1)/(-10)) + 3. Let y = 12 + u. Find the common denominator of (y/((-15)/78))/(-4) and -50. 2 Let a = -3 + -9. Let f = a + 23. What is the smallest common multiple of f and 7? 77 Suppose 0*f - 2*f + 6 = 0. Suppose -j + 0*j - 8 = -4*p, -f*j = 4*p - 56. Calculate the smallest common multiple of j and 4. 12 Let g = 3 + -1. Suppose 3*v - g*s = 56, -40 - 20 = -4*v - s. What is the lowest common multiple of v and 4? 16 Let c = 149828901/14 + -10691790. Let j = c - 10268. What is the common denominator of 405/112 - 32/(-56) and j? 112 Let n(a) = 2*a + 1. Suppose 0*f = 3*f - 9
{ "pile_set_name": "DM Mathematics" }
0 and 10? 70 Calculate the lowest common multiple of 1734 and 6. 1734 What is the lowest common multiple of 1681 and 287? 11767 Find the common denominator of -53/432 and -17/486. 3888 What is the least common multiple of 6 and 255? 510 Calculate the common denominator of -109/56 and 13/5754. 23016 Calculate the smallest common multiple of 140 and 100. 700 What is the common denominator of 65/834 and 41/21? 5838 What is the least common multiple of 1460 and 876? 4380 What is the lowest common multiple of 39 and 2? 78 Calculate the least common multiple of 155 and 93. 465 What is the common denominator of 59/171 and 55/152? 1368 Calculate the least common multiple of 180 and 306. 3060 Calculate the common denominator of -53/384 and -49/32. 384 What is the lowest common multiple of 22 and 2? 22 Calculate the common denominator of -49/12 and -43/20. 60 What is the smallest common multiple of 10 and 1458? 7290 Find the common denominator of -25/21 and -95/18. 126 Calculate the common denominator of -157/1734 and 113/102. 1734 What is the smallest common multiple of 13570 and 354? 40710 Calculate the smallest common multiple of 20 and 28. 140 Calculate the common denominator of 107/22 and -109/17874. 196614 What is the lowest common multiple of 2150 and 300? 12900 Find the common denominator of -31/126 and -23/72. 504 What is the lowest common multiple of 6008 and 14? 42056 Calculate the smallest common multiple of 6 and 20. 60 Calculate the common denominator of 49/24 and 97/18. 72 Find the common denominator of -81/22 and -109/13132. 144452 What is the least common multiple of 68 and 75? 5100 Calculate the smallest common multiple of 38736 and 20. 193680 What is the common denominator of -49/9 and 97/178? 1602 Calculate the common denominator of 61/475 and 64/175. 3325 Calculate the smallest common multiple of 3 and 120. 120 Calculate the smallest common multiple of 1197 and 513. 3591 Calculate the common denominator of -33/115 and -52/575. 575 Calculate the common denominator of 14/195 and 13/45. 585 What is the common denominator of -113/350 and 57/250? 1750 What is the smallest common multiple of 840 and 15? 840 Calculate the lowest common multiple of 253 and 1606. 36938 Calculate the smallest common multiple of 128 and 2. 128 Calculate the lowest common multiple of 40 and 175. 1400 Calculate the common denominator of -49/18 and 35/36. 36 What is the smallest common multiple of 3297 and 9? 9891 What is the common denominator of 30 and 68/9? 9 What is the least common multiple of 1350 and 180? 2700 What is the smallest common multiple of 1794 and 16? 14352 What is the common denominator of -44/27 and -151/672? 6048 What is the lowest common multiple of 7 and 11? 77 Find the common denominator of -37/26 and -25/28. 364 Calculate the lowest common multiple of 304 and 3914. 31312 Calculate the smallest common multiple of 177 and 1. 177 Calculate the lowest common multiple of 77 and 49. 539 Find the common denominator of 121/2256 and -39/34. 38352 Find the common denominator of 53/4 and -123/40. 40 What is the common denominator of -76/33 and -61/616? 1848 What is the lowest common multiple of 215 and 25? 1075 What is the common denominator of -85/2088 and -61/3712? 33408 Find the common denominator of -17/319 and 56/4611. 50721 Calculate the smallest common multiple of 88 and 320. 3520 Calculate the common denominator of -43/852 and -71/72. 5112 Calculate the smallest common multiple of 16 and 280. 560 Calculate the common denominator of 145/5376 and -67/192. 5376 Find the common denominator of -79/189 and 47/2247. 20223 What is the common denominator of -58/3 and 19/5? 15 Calculate the common denominator of 70/1551 and -5/564. 6204 What is the smallest common multiple of 4 and 33? 132 Find the common denominator of 37/1413 and 43/1570. 14130 What is the smallest common multiple of 15 and 660? 660 What is the least common multiple of 100 and 20? 100 Calculate the lowest common multiple of 108 and 135. 540 What is the least common multiple of 180 and 27? 540 Calculate the smallest common multiple of 92 and 4. 92 What is the smallest common multiple of 48 and 456? 912 Calculate the common denominator of -19/2848 and -33/20. 14240 What is the smallest common multiple of 3 and 11493? 11493 Calculate the lowest common multiple of 102 and 306. 306 Calculate the common denominator of 5/9 and -41/47. 423 Calculate the common denominator of -67/776 and -53/4. 776 Calculate the smallest common multiple of 1384 and 24. 4152 Calculate the smallest common multiple of 28 and 56. 56 Calculate the smallest common multiple of 186 and 93. 186 Calculate the least common multiple of 85 and 10. 170 Calculate the least common multiple of 42 and 1026. 7182 Calculate the least common multiple of 26 and 3340. 43420 What is the common denominator of -65/1344 and 95/42? 1344 Calculate the smallest common multiple of 196 and 25. 4900 Find the common denominator of -21/29 and 41/10. 290 Calculate the common denominator of 87/874 and 9/23. 874 Calculate the common denominator of 29/27 and -20/27. 27 Find the common denominator of 89/76 and -7/22. 836 What is the smallest common multiple of 7 and 74? 518 What is the least common multiple of 30 and 18? 90 What is the common denominator of -23/106 and 59/12? 636 Calculate the lowest common multiple of 128 and 184. 2944 Calculate the common denominator of -89/18 and -31/123. 738 What is the lowest common multiple of 164 and 2? 164 What is the common denominator of 44/5 and -26/7? 35 Calculate the lowest common multiple of 48 and 888. 1776 What is the common denominator of 73/42 and -83/52? 1092 What is the lowest common multiple of 792 and 1116? 24552 What is the lowest common multiple of 5918 and 2152? 23672 What is the least common multiple of 6 and 4? 12 What is the lowest common multiple of 34 and 170? 170 Calculate the lowest common multiple of 560 and 112. 560 Calculate the common denominator of 89/24 and -21/1696. 5088 Calculate the common denominator of 27/1016 and -145/48. 6096 What is the least common multiple of 6441 and 18? 38646 Calculate the smallest common multiple of 432 and 20. 2160 Calculate the common denominator of 65/243 and 65/12. 972 Find the common denominator of 19/8 and 37/6. 24 What is the common denominator of -49/1553 and 4/3? 4659 Calculate the common denominator of -57/16 and -17/8230. 65840 Find the common denominator of -13/45 and -68/27. 135 What is the lowest common multiple of 294 and 2? 294 Calculate the least common multiple of 5660 and 4528. 22640 What is the common denominator of -1/4 and -83/66? 132 What is the lowest common multiple of 2720 and 1020? 8160 Calculate the common denominator of 47/120 and -29/1175. 28200 What is the smallest common multiple of 15 and 175? 525 Find the common denominator of 151/1734 and 56/9. 5202 What is the common denominator of 57/28 and 37/110? 1540 Calculate the lowest common multiple of 11 and 255. 2805 What is the common denominator of -31/4 and -29/2100? 2100 Find the common denominator of -131/6050 and 9/2. 6050 Calculate the least common multiple of 1 and 284. 284 Find the common denominator of -85/759 and -32/759. 759 Find the common denominator of 123/340 and -11/61. 20740 Find the common denominator of 7/10 and -34/65. 130 Calculate the common denominator of 33/160 and 67/9312. 46560 Find the common denominator of -73/44 and 41/2057. 8228 Calculate the common denominator of -23/1688 and 113/36. 15192 Calculate the lowest common multiple of 10 and 3746. 18730 Calculate the lowest common multiple of 483 and 7. 483 What is the least common multiple of 324 and 1053? 4212 What is the smallest common multiple of 10106 and 489? 30318 What is the lowest common multiple of 93 and 30? 930 What is the least common multiple of 235 and 5? 235 Find the common denominator of 6/385 and 29/140. 1540 What is the least common multiple of 42 and 182? 546 Calculate the least common multiple of 4 and 33. 132 What is the lowest common multiple of 264 and 1848? 1848 Find the common denominator of -14/31 and -12/155. 155 What is the least common multiple of 112 and 1722? 13776 Find the common denominator of -73/1550 and -67/30. 4650 Calculate the common denominator of
{ "pile_set_name": "DM Mathematics" }
st derivative of 60962*q**3 - 35807 wrt q? 182886*q**2 Find the second derivative of 330*y**3*z**2 + 5*y**3*z + 6*y**3 - 28*y*z**2 - 3*z**2 - 128 wrt y. 1980*y*z**2 + 30*y*z + 36*y Find the third derivative of o**3*r**4 + 590*o**3*r - 3*o**2*r**2 - 101*o*r**2 + 268937*r**5 wrt r. 24*o**3*r + 16136220*r**2 Differentiate -481*g*p**2 - 63*g*p - 144803*g with respect to p. -962*g*p - 63*g Find the third derivative of 213010*d**3 - 24*d**2 - 34*d + 42 wrt d. 1278060 Find the second derivative of -m**5 + 1389434*m**4*p**3 - 401*m*p - 350*p**3 wrt m. -20*m**3 + 16673208*m**2*p**3 What is the second derivative of -3647*z**2 + 19893*z? -7294 What is the derivative of 2*a**2*n**2 + 38*a**2 - 242*a*n**2 + a*n - 2262957*n**2 wrt a? 4*a*n**2 + 76*a - 242*n**2 + n What is the third derivative of -424134*u**3 - 2*u**2 + 57191 wrt u? -2544804 Find the second derivative of 776601*t**3 + 939231*t wrt t. 4659606*t What is the third derivative of -35484*i**3 - 1594233*i**2 wrt i? -212904 What is the first derivative of 17220*g**2*l - 21*g**2*z + 2*g**2 + 40*g*z + 105*l*z + 145*z wrt l? 17220*g**2 + 105*z Find the second derivative of 2*j*s**2*u + j*s**2 + j*s*u - 4*j*s - 12*j*u + 19*j - 2*s**2*u - 5083*s**2 - 2 wrt s. 4*j*u + 2*j - 4*u - 10166 Find the third derivative of 335239*l**5 + 27*l**2 + 8*l - 22 wrt l. 20114340*l**2 What is the second derivative of -25*b**2*q**3 - 399*b**2 + 4*b*q**3 + 2*q**2 - 509*q wrt b? -50*q**3 - 798 What is the third derivative of -8354*b**2*v**3*z + 206*b**2*v**2*z - 2*b**2*v*z + 3*b*v**3*z - b*v**3 + 3*b*v**2 + 7*v**2*z + v**2 wrt v? -50124*b**2*z + 18*b*z - 6*b What is the derivative of -2*k**3 + 1106*k**2 + 47*k + 241918 wrt k? -6*k**2 + 2212*k + 47 Find the second derivative of -744578*m**2*w**2 + 4*m*w**2 + m + w**2 - 1479*w wrt m. -1489156*w**2 Find the second derivative of -18*z**3 + 1653*z**2 + 61773*z + 1. -108*z + 3306 What is the third derivative of 2657*k**5 - 7*k**4 - 4792*k**2? 159420*k**2 - 168*k Find the third derivative of -f**2*z**3 + f**2*z**2 + 57987*f**2 + 96973*z**6 wrt z. -6*f**2 + 11636760*z**3 Differentiate 48004*l*v + 176*v - 142 wrt l. 48004*v What is the second derivative of 2*t**3*u + 58*t**3 + 21123*t**2*u + t**2 - 3*t*u + 114*t - 420 wrt t? 12*t*u + 348*t + 42246*u + 2 Find the second derivative of -p**3 - 48544*p**2 - 54835*p. -6*p - 97088 Find the first derivative of -1330774*s - 1179154 wrt s. -1330774 Find the second derivative of -574608*z**3 - 78*z + 20. -3447648*z Find the third derivative of -2*a*w**6 + 6*a*w**3 - a*w**2 + 28445*a - 635*w**3 wrt w. -240*a*w**3 + 36*a - 3810 Find the third derivative of -2903*u**5 + 50*u**3 - 922*u**2 - 29*u + 5 wrt u. -174180*u**2 + 300 Find the third derivative of -58961*o**3 + 17*o**2 - 50*o - 11. -353766 What is the second derivative of -15*f**2*s**3 + 12693*f**2*s + f**2 + 4*f*s**3 - 4*s**3 - 1352*s**2 + 4 wrt f? -30*s**3 + 25386*s + 2 Find the second derivative of 915560*a**3 - 526130*a wrt a. 5493360*a Find the second derivative of 2*g**2*x**3 + 190*g**2*x - 16*g**2 - 33695*g*x**5 - 2*g*x wrt x. 12*g**2*x - 673900*g*x**3 Find the second derivative of -8*h**4 + 176*h**3*j + 24638*h - 2*j wrt h. -96*h**2 + 1056*h*j Find the second derivative of -3741*p**2*s**3 - p**2*s - 5*p**2 + 85*p*s**3 - 82*p*s**2 - p wrt p. -7482*s**3 - 2*s - 10 What is the third derivative of 16*g**3*p**2 + 1577*g**3*t**2 + 5*g**2*p**2*t + g*t**2 + 8*p**2*t - 2*p**2 + 16*p*t**2 wrt g? 96*p**2 + 9462*t**2 What is the second derivative of -8*u**5 - 603*u**3 - 246*u - 20? -160*u**3 - 3618*u Find the second derivative of 72947*h**4 + 104*h - 18. 875364*h**2 What is the third derivative of -254101*n**5 - 2*n**3 + 4*n**2 - 3647*n + 1 wrt n? -15246060*n**2 - 12 Find the third derivative of -495*y**4 - 148*y**3 + 1780*y**2 + 9*y. -11880*y - 888 Find the second derivative of -2*s*u**2 - 2828*s*u - 30772*u**2 + 2*u + 7 wrt u. -4*s - 61544 Find the second derivative of -14*w**3 - 128*w**2 + 3641*w + 3 wrt w. -84*w - 256 What is the second derivative of -940115*u**2 + 2781291*u? -1880230 Find the second derivative of 17648*h**3*s**2 + h**3*s + 273*h**3 - 13*h**2*s**2 - h**2*s - 4*h**2 + 6*h*s wrt s. 35296*h**3 - 26*h**2 Find the second derivative of -30*x**5 + 5321*x**3 + 64396*x. -600*x**3 + 31926*x Differentiate 242*l**3*v - 315*l**3 - 318*l**2 - 2*l*v + 2357*v with respect to v. 242*l**3 - 2*l + 2357 Find the second derivative of 2*x**3 + 669143*x**2 - 1754375*x. 12*x + 1338286 What is the second derivative of 706633*f**4 + 347*f + 59 wrt f? 8479596*f**2 Differentiate 20*i**2*v + 1029*i*v**3 - 2504*v**3 wrt i. 40*i*v + 1029*v**3 Find the third derivative of 131*r**3*v**3 + 190*r**3*v**2 - 3*r**3 - 5*r**2*v**3 + 26495*r**2*v**2 - r**2 + 2 wrt r. 786*v**3 + 1140*v**2 - 18 What is the second derivative of 310972*t**2*w**2 - 2*t*w**2 - 14*t*w + 156*w + 23 wrt t? 621944*w**2 Differentiate -318*j**2*m**2 + 10*j**2*m*z - 368*j*m**2*z + j*m + 12*m**2 with respect to z. 10*j**2*m - 368*j*m**2 Find the second derivative of 22255*c**4 + c**3 - 16826*c wrt c. 267060*c**2 + 6*c Find the third derivative of 208*x**5 - 7*x**4 + 124*x**3 + 85425*x**2 wrt x. 12480*x**2 - 168*x + 744 What is the third derivative of 816147*c**3*h**3 + c**3*h**2 - 83*c**2*h**2 - 69*c**2 + 3*c*h**2 - c*h wrt h? 4896882*c**3 What is the third derivative of -33*a**2*c**4*n + 24831*a**2*c*n + 2*a**2*n + 2*a*n - 134*c**4 - 2*c**2 wrt c? -792*a**2*c*n - 3216*c What is the third derivative of 29*r**4*v - 4255*r**4 + 159*r**2*v - 67*r*v + 2*v wrt r? 696*r*v - 102120*r What is the third derivative of 1548380*c**6 + 3624788*c**2 + c wrt c? 185805600*c**3 Find the first derivative of -28575*t + 121637. -28575 What is the second derivative of 26*o**2*u**2 - 29*o**2 + 24*o*u + 143*u**3 + 18 wrt u? 52*o**2 + 858*u Differentiate -16483*r**2*x**2 - 8*r**2 - 685821*x**2 with respect to r. -32966*r*x**2 - 16*r What is the derivative of 2575222*t**3 + 295006? 7725666*t**2 Differentiate -7275*s**4*x + s*x**2 + 22512*x**2 wrt s. -29100*s**3*x + x**2 What is the third derivative of 4326*a**4 - 4*a**3 + 18235*a**2 wrt a? 103824*a - 24 What is the derivative of 12*j*u**3 + 2*j*u**2 + 116*j*u - 334*u**3 - u**2 + 4 wrt j? 12*u**3 + 2*u**2 + 116*u Find the third derivative of 349617*f**3 - 2350*f**2 + 3*f + 23. 2097702 What is the first derivative of -72041*r**4 + 24874? -288164*r**3 Find the second derivative of -51*f**3*z**2 + 2*f**3 - 2*f**2*l*z - 11409*f*l*z + l*z**2 + 4027*z**2 + 6*z wrt z. -102*f**3 + 2*l + 8054 Find the third derivative of 2*t**6 + 31*t**5 + 36*t**3 + 3*t**2 + 137*t + 5 wrt t. 240*t**3 + 1860*t**2 + 216 What is the derivative of 1654*a**4*w**3 + 32*w**3 - 468*w wrt a? 6616*a**3*w**3 What is the second derivative of -175942*x**2 - 5*x + 7481 wrt x? -351884 Differentiate 92*g*i**3*k**3 - 32*g*i**2*k**3 - i**3*k + 5312*k**3 with respect to g. 92*i**3*k**3 - 32*i**2*k**3 Differentiate 4*c**4 + 48073*c - 435297. 16*c**3 + 48073 What is the derivative of 3*h**4*o**2 - 107816*h**2*o**2 + 9*o**2 - 11*o + 12 wrt h? 12*h**3*o**2 - 215632*h*o**2 What is the third derivative of -132045*u**3 + u**2 - 395198*u wrt u? -792270 Differentiate 9128*g**3*l**2 - g*l**2 + 2*g*l + 50*l**2 + 256 wrt g. 27384*g**2*l**2 - l**2 + 2*l What is the second derivative of -18*a**2*t**2 + 32*a**2*t + 6*a**2 - 639*a*t**2 - 25*a*t - 3*t**3 - 2*t wrt t? -36*a**2 - 1278*a - 18*t What is the third derivative of 1436544*g**5 - 47*g**2 - 901*g - 3? 86192640*g**2 What is the third derivative of 1607*o**2*x**3 - o**2*x**2 - 307*o**2*x - 2*o*x**3 - x**3 + x**2 + x wrt x? 9642*o**2 - 12*o - 6 Find the third derivative of -2*n**3*y**3 + 15588*n**3*y**2 - 32*n**3 + 51641*n**2*y**3 - 2*n + 6*y**3 wrt y. -12*n**3 + 309846*n**2 + 36 Differentiate 248712*d - 301054 wrt d. 248712 Find the third derivative of 259203*p**3 + 2*p**2 - 3144*p + 5 wrt p. 1555218 What is the second derivative of 1178883*r**5 + 1167*r - 108? 23577660*r**3 What is the second derivative of -3*s**4 - 11402*s**2 - 11*s + 383? -36*s**2 - 22804 What is the third derivative of 806462*o**6 + o**2 - 1069*o + 99? 96775440*o**3 Differentiate -383281*a**2 + 1041722 wrt a. -766562*a What is the second derivative of 5*h**3*m**2 + 130*h**3*m - 120*h**3 - 2349*h**2*m**2 + m**2 + 1 wrt m? 10*h**3 - 4698*h**2 + 2 Diffe
{ "pile_set_name": "DM Mathematics" }
2*m. What are the prime factors of m? 13, 19 Let o be (9 - 2) + -3 - 1. Let m(r) = -r**3 + 4*r**2 - r - 3. Let y be m(o). Suppose 4*p - 64 = p + 4*l, -2*l = y*p - 76. List the prime factors of p. 2, 3 Let f(h) be the third derivative of 11*h**5/60 - h**4/24 + h**3/2 - 9*h**2. What are the prime factors of f(3)? 3, 11 Let r = 550 + 2042. What are the prime factors of r? 2, 3 Let q = 53 - 8. What are the prime factors of 93*6/q*5? 2, 31 Let w(x) = 8 + 0 + 6*x - 7*x. Let o be w(6). What are the prime factors of 92/o*2/4? 23 Let y(d) = 5*d + 2. Suppose 3*w + 0*w + 5*q - 22 = 0, 2*w - 18 = -5*q. What are the prime factors of y(w)? 2, 11 Let u be (-11 + -1)*(-21)/(-28). Let x = u - 13. Let i = -4 - x. List the prime factors of i. 2, 3 Let b(z) = 1090*z**2 - 13*z + 13. List the prime factors of b(1). 2, 5, 109 Let q(u) = u**3 + 6*u**2 - 7*u + 4. Let x be q(-7). Suppose x = y + 5*c, 1 = c + 6. List the prime factors of y. 29 Suppose 45 + 11 = 8*u. Suppose -u*v = 3*v - 140. List the prime factors of v. 2, 7 Suppose -4*q - 2*t = -14 - 0, 2*q - 37 = 5*t. Let y be q/10 + (-28)/5. Let g = 2 - y. List the prime factors of g. 7 Suppose -18729 = -114*k + 109*k - 2*x, 0 = k - 5*x - 3735. What are the prime factors of k? 5, 7, 107 Let z(y) = -y**3 + 7. Let s(p) = -p - 3. Let b be s(12). Let l be (-5)/b*(0 - 0). What are the prime factors of z(l)? 7 Let j = -377 + 478. What are the prime factors of j? 101 Suppose -3*r - 3*j = -69, 0*r + 2*r = 4*j + 34. Suppose -2*v = v - r. Suppose v = w + 2*x - 0, x + 4 = w. List the prime factors of w. 5 Let p(s) = 3*s**3 + 2*s**2 - 2*s + 5. Let c be p(2). Let u = c + 65. What are the prime factors of u? 2, 7 Suppose 42 + 30 = 4*h. Let n = -8 + h. List the prime factors of n. 2, 5 Suppose 5*a + o = 4125, 5*a = -o + 2*o + 4125. Suppose 5*f - a = 5*r, f = 2*r + 154 + 15. List the prime factors of f. 7, 23 Suppose -3*d + 2*s - 25 = -8*d, -d = 4*s - 23. Let f(u) = 22*u**2 + 5*u + 2. List the prime factors of f(d). 5, 43 Let d be (1 + -7)/(6/8). List the prime factors of 2/d - (-1738)/8. 7, 31 Suppose 2*w - 5*m = 4149, -4137 = -2*w - 27*m + 28*m. What are the prime factors of w? 3, 13, 53 Suppose -5*u = -d - 1888, 5*u + 2*d + d - 1876 = 0. Let f = u - 217. What are the prime factors of f? 2, 5 Let i = -21 + 25. Let g be 1*1/2*4. Suppose 6 + 42 = g*d + 3*k, i*d - 5*k = 118. List the prime factors of d. 3 Suppose 11*x + x = -48. List the prime factors of (-32)/(2*x/16). 2 Let v(l) = l**2 - 12*l + 25. Let z be v(10). Suppose -5 = 2*i + 5, -173 = -2*k + z*i. Let o = k - 35. List the prime factors of o. 3, 13 Let f = 3543 - 2287. What are the prime factors of f? 2, 157 Suppose 6*m - 431 = 1039. What are the prime factors of m? 5, 7 Let p = 22 - 20. Suppose -s - 9 = -2*s + p*w, 0 = -4*s - 5*w - 29. List the prime factors of 10 - (2 + -1 + s). 2, 5 Let p = -2 + 2. Suppose 4*y - 7*y = p, -y = 3*u + 18. Let m = 9 - u. List the prime factors of m. 3, 5 Suppose -r + 150 + 36 = 0. Let g = r - 84. List the prime factors of g. 2, 3, 17 Let p be (-235)/(-45) + (-4)/18. Suppose p = y, 4*y - 75 = -4*i + 285. Let c = -21 + i. What are the prime factors of c? 2 Let k = -843 - -3072. What are the prime factors of k? 3, 743 Suppose 9*o = 14508 - 198. What are the prime factors of o? 2, 3, 5, 53 Suppose o - 3*v = 5, -3*o + 5*v + 10 = -1. Let u = -8 - -13. Suppose 49 = b + o*b + 4*i, 2*b - u*i - 25 = 0. List the prime factors of b. 3, 5 Let v = 253 - 383. Let p = -1444 + 1629. Let g = p + v. What are the prime factors of g? 5, 11 Suppose 3114 = 5*j + 4*k, 0 = -4*j - 8*k + 6*k + 2490. What are the prime factors of j? 2, 311 Let u(x) = x**3 + 11*x**2 + 10*x + 5. Let c be u(-10). Suppose -c*m = -m - 144. Suppose 25 = 5*f, 0*w - 4*f = -4*w + m. What are the prime factors of w? 2, 7 Let b(l) = -l**3 + 15*l**2 - 13*l - 3. Let g be b(13). Suppose 5*t + g = n + t, -498 = -3*n + 4*t. What are the prime factors of n? 2, 83 Let l be ((-5)/10)/(1/(-6)). Suppose 5*c + 115 = z, l*c = 3*z - 18 - 339. Suppose 0 = 10*v - 13*v + z. What are the prime factors of v? 2, 5 Let d = 30 - 25. Let w be 8/(-20) + 32/d. What are the prime factors of (-8 + w)*(-1 - 8)? 2, 3 Suppose -5*u = 7*s - 2*s - 6165, -4*u = 3*s - 3703. What are the prime factors of s? 1229 Let b(p) = p**3 + 16*p**2 - p - 66. What are the prime factors of b(-13)? 2, 227 Suppose 4*u = 22 - 6. Suppose -5*a - p = -11, -3*a + 11 = u*p + p. Suppose 3*d = a*d + 24. List the prime factors of d. 2, 3 Suppose -5*f - q = -4667, 9*f - 2*q - 4676 = 4*f. List the prime factors of f. 2, 467 Let x = 94 + -101. Let f(k) = -k**2 - 18*k + 6. What are the prime factors of f(x)? 83 Let j(w) = -w**3 - 9*w**2 - w - 7. Let p be j(-9). Let z(d) = 2*d**p + 6 - 3 - 2. List the prime factors of z(-3). 19 Let f = -1805 + 3443. What are the prime factors of f? 2, 3, 7, 13 Let j be 0/1 + -1 - -5. Suppose j*z - 26 = 42. What are the prime factors of z? 17 Let s(h) be the second derivative of -5*h**4/6 - 3*h**2/2 - 7*h. Let i be s(3). Let q = i + 131. List the prime factors of q. 2, 19 Suppose -9099 = 31*x - 40*x. List the prime factors of x. 3, 337 Let z(g) = -g**3 - 8*g**2 - 9*g - 7. Let n = 23 - 19. Suppose -f + 0*f - 3*b = 16, 2*f = -n*b - 26. List the prime factors of z(f). 7 Suppose -4*y - 8*t + 16584 = -5*t, -4*y + 4*t + 16612 = 0. What are the prime factors of y? 3, 461 Suppose 0 = -4*v - 0*v + 5*y - 377, -4*y - 12 = 0. Let w = -32 - v. Suppose 0 = -5*h + w + 69. What are the prime factors of h? 3 Suppose 6*m + 84800 = 31*m. List the prime factors of m. 2, 53 Let p(y) = -4 + 19*y - y - 5*y. What are the prime factors of p(3)? 5, 7 Let z(t) = t**3 + 3*t**2 - 2*t + 2. Let d be z(-3). Suppose -d*y = -5*y - 189. What are the prime factors of y? 3, 7 Suppose -8*r + 1638 = -594. Suppose 0 = -2*d, -4*z + d + r = -z. What are the prime factors of z? 3, 31 Let g = -224 + 728. List the prime factors of g. 2, 3, 7 Suppose -100 = -12*g + 32. What are the prime factors of g? 11 Let j(w) = -34*w + 1. Let k(l) = -l**3 - 8*l**2 - 7*l - 2. Let x be k(-7). List the prime factors of j(x). 3, 23 Let p(j) = -j**2 + 4*j + 3. Let a be p(3). Suppose -a*d + 1 = -11. What are the prime factors of 22 + d/5*5? 2, 3 Suppose 20*s - 18561 = -4981. List the prime factors of s. 7, 97 Let o(j) = j - 2. Let a be o(4). Suppose a*f - 1 = 3. List the prime factors of 57/9 - f/6. 2, 3 Let t = 0 - -8. Let m(r) be the first derivative of -r**3/3 + 7*r**2/2 + 17*r - 11. List the prime factors of m(t). 3 Let n(c) = 2*c - 5. Let z(m) = -3*m + 4. Let u(v) = -6*n(v) - 5*z(v). Let o be u(-4). What are the prime factors of o/(-12) + 775/30? 2, 13 Suppose v - 4*m = 14 + 57, 2*m + 223 = 3*v. Suppose 0 = 5*u + k - 510 + v, -3*u + 4*k + 284 = 0. What are the prime factors of u? 2, 11 Let n(x) = -3*x**2 + x - 9. Let h be n(5). Let p = h - -153. List the prime factors of p. 2, 37 Suppose -7*c = -101 - 137. Let m = 192 + c. What are the prime factors of m? 2, 113 Let v(g) = -279*g**3 + 0 - g**2 + g + 1 + 214*g**3. Let s be v(-1). Suppose -6*n + n + 4*h + 96 = 0, -s = -3*n - 4*h. List the prime factors of n. 2, 5 Suppose 70*h - 43968 = 58*h. List the prime factors of h. 2, 229 Suppose -2*i + 2*m + 3920 = 0, -i - 4*i - 2*m + 9807 = 0. List the prime factors of i. 37, 53 Let p = 2861 - -106. What are the prime factors of p? 3, 23, 43 Let d = -47 + 91. List the prime factors of d. 2, 11 Suppose c - 70 = d, d = 4*d + 3. Suppose -7*l + c = -4*l. What are the prime factors of l? 23 Let w be (-166)/(-7) - 4/(-14). Let z be 0 - (-1)/(2/8). What are the prime factors of (-2)/(-8)*z + w? 5 Suppose -5*l + 6*x - 2*x + 82 = 0, l + 2*x = 8. Let s be (-6 - -3)*3/((-27)/6). Suppose s*f - 3*f = -l. What are the prime factors of f? 2, 7 Let g(o) = o**3 + 4*o**2 - 9*o - 9. Let p be g(-6). Suppose -260 = -4*h - h. Let l = p + h. What are the prime factors of l? 5 Let q = -495 - -1606. List the prime factors of q. 11, 101 Let y(w) = 11*w**3 - 2*w**2 + 5*w - 5. Let g be y(2). Suppose 0 = 4*r - 5*f - 366, -2*f + 0*f = r - g. What are the prime factors of r? 89 Let t be 4 - (-158)/(-14) - 4/(-14). Let v = 51 + -72. Let s = t - v. What are the prime factors of s? 2, 7 Let l(c) = -c**3 - 7*c**2 - 13*c - 10. Let w(k) = k**3 + 7*k**2 + 12*k + 10. Let a(v) = -6*l(v) - 7*w(v). List the prime factors of a(-7). 2 L
{ "pile_set_name": "DM Mathematics" }
4, -2*o = -g - 0 + 1 for g. 1 Let p be (1/(-2))/((-2)/(-12)). Let j be (7/(-21))/(2/(-54)). Let i be 4/p*j/(-1). Solve 12 = y + 5*n, n + 3*n - i = 0 for y. -3 Suppose j + 4*j - 60 = 0. Let r = 6 + -3. Suppose -2*f = k + f - 7, -r*k + 5*f = -7. Solve j = 5*h + k*i - 12, -3*i = 3*h - 15 for h. 4 Suppose 0*p = 2*p - 72. Let g = -3 - 0. Let r be p/15 - g/5. Solve -j = -3*s - 1, s + r*j + 0 = -7 for s. -1 Let p be (-2)/(-8) - (-50)/(-8). Let v be -3 - 5/(5/p). Solve 11 = 2*q - v*l, 6 + 3 = 3*q - 2*l for q. 1 Let u = 17 - 11. Suppose 2*s - 19 = 5*w, 4*s + u*w - 11 = 7*w. Solve g - s*l + 3 - 1 = 0, 0 = -4*g + 4*l - 12 for g. -4 Let c be (0 - 0)*5/(-10). Let l = 3 + c. Suppose 3*r = -l*t + 42, -37 + 3 = -5*t + 4*r. Solve -2*k + 7*k - 3*o + 10 = 0, t = -2*o for k. -5 Let a be (3 - -1) + -4 + 1. Suppose -18 = -4*c - q, 2*c = 4*q + a + 17. Solve -8 = -i + o, 0*i + c*i = -4*o - 5 for i. 3 Let m = 16 - -7. Suppose -3*x - 7 + 13 = 0. Suppose x*g + v - 3*v - 20 = 0, 0 = 2*v + 10. Solve -5*q = -y + 3 + m, 28 = 3*y - g*q for y. 1 Let s = 5 - 2. Let h(y) be the first derivative of 2*y**3/3 - 3*y**2/2 - 4*y + 1. Let v be h(3). Solve 0 = -6*f + s*f, -4*q - 16 = v*f for q. -4 Suppose 7 = 3*c - 5. Let g = c - 2. Suppose g = -q + 4. Solve 15 = w - 4*n, -q*n = 3*w + n + 15 for w. -1 Let d = -2 - -3. Solve 3*a = 5*y - 22, -3*y = a - 15 - d for a. 1 Let u = -11 + 11. Suppose -2*t = 2*s - 1 - 7, -2*t + 3*s + 3 = u. Let r = 8 - -1. Solve 5*h + 5*n - 14 = h, 0 = -t*h - 3*n + r for h. 1 Let q = 65 - 58. Solve -s + x = 2*s, -5*s + q = -4*x for s. -1 Suppose 0 = 11*r - 6*r - 10. Solve -h + 2*v + r = -0*v, 3*v - 4 = -2*h for h. 2 Let p be (-2)/7 + 46/14. Suppose -p*d - 14 = -y + d, 42 = 4*y - 2*d. Suppose z = 2*z - 5. Solve -3*f + z + 0 = 4*w, -w - y = 3*f for f. -5 Suppose 0 = 4*c + 2 - 22. Let r = -3 + c. Let g = -382 - -404. Solve r*t - 12 = -5*d, 2*d - 3*t - g = -2 for d. 4 Let o be 3*(1 + (-5)/15). Solve -q - 4*q = v + 2, 0 = -3*q - o*v - 4 for q. 0 Let p be 9/6 + 1/2. Solve -4*f - a + 13 = -4, 0 = -p*a - 6 for f. 5 Suppose -2*n = 3*n - 45. Suppose -5*u - n = -u - 3*w, 2*u = -w + 3. Suppose 5*i - 2*i - 9 = u. Solve i = 2*k - 2*s + 7, 5*s - 7 = 4*k for k. -3 Let v = 49 + -22. Let x be (-16)/(-6)*v/12. Let a = 4 + -2. Solve s - x = a*q, -5*s + q + 22 = -q for s. 4 Suppose -o + r + r = -4, 4*r = 4*o - 8. Solve -4*m = -2*p - 28, -5*p + 5 = 5*m - o for m. 5 Suppose 0 = 2*g + g. Suppose g = -2*a - 10, -3*a + 5 + 0 = 5*v. Solve -3*h = k - 16, -2*k + 2*h - v*h + 16 = 0 for k. 4 Let u(h) = 5*h + 8 - 6*h - 3 + 2. Let s be u(5). Suppose -y + s*v + 7 = 0, -5*v - 2 + 12 = 3*y. Solve -d = 3*c - 0 - 15, d = -c + y for d. 0 Let b(j) = j**2. Let x be b(2). Solve -5*m + 7*t - x*t = -35, 5*t + 33 = 2*m for m. 4 Suppose -4*s - s + 20 = 0. Suppose s*g = -g + 75. Solve -18 = h - 3*o, 3*h + 4*o + 4 = g for h. -3 Let s = -14 + 14. Solve 2*l + z + 12 = s, 0*z - 5*z = 20 for l. -4 Let p = 2 - 0. Let z(u) = -u**2 - 7*u + 9. Let l be z(-7). Suppose 0 = -4*x + t - 5*t, -2*x - t = -2. Solve -p*y + l = -3*v, 0 = -v - x*v - 3 for y. 3 Let z = -18 - -23. Solve g + 4 + z = 2*d, g + 24 = 5*d for d. 5 Let f(i) = -2*i - 11. Let t = 11 + -18. Let z be f(t). Solve 5*v + z*a = -0*a - 27, -v = -a - 1 for v. -3 Let j(b) = -b + 20. Let i be j(0). Suppose 4*u - i = -4*l, 0*l + 2*l + 2 = 2*u. Solve 3*t - u*a + 0*a = 0, 0 = 2*t - a - 4 for t. 4 Suppose 0 + 3 = g. Solve -2*y - 5*s = g + 20, -4*y - 5*s - 21 = 0 for y. 1 Let j(g) = 5*g - g + g**3 + 6 + 0*g**2 - g**2 - 5*g**2. Let t be j(5). Solve -5*m - 20 = 0, -2*x = x + m + t for x. 1 Suppose 2*y - y = a - 1, 1 = a. Suppose 15 = -5*p + 5*f, -4*f = -0*f - 16. Solve y*v + v - u - p = 0, -4*u - 9 = v for v. -1 Suppose -2*g = -33 + 15. Let b(m) = m**2 + 3*m - 4. Let q be b(-5). Let l be (4/(-8))/((-1)/q). Solve -2*f + p + g = -0, 2*f + l*p = 13 for f. 5 Suppose -10*t - 116 = -14*t. Solve -t = 5*m + 2*x - 10, 2*m = 4*x - 22 for m. -5 Suppose -15 = 5*d - 5. Let c be -1 + (1 - 1) + d. Let m be 2 + (1 - 3/c). Solve -m*y = 12, -2*q - y = -3*q + 6 for q. 3 Let o be 4/(-10) - 792/(-30). Solve -2*n = 5*k, 3*k - o = 4*n - 0*k for n. -5 Let v be (0 + -3)*(-6)/9. Suppose -5*x - 8 = -3*s - v, 3*x = 0. Let w be 30/s*9/27. Solve -3*k = 2*b + b + 18, -15 = 4*k - w*b for k. -5 Let z be ((-12)/(-8))/((-1)/10). Let r be (z/20)/((-2)/8). Solve -3*w = -4*c + 32, -r*w + 3*c - 19 = -2*w for w. -4 Let a be 129/15 - 4/(-10). Suppose -6*l + a*l - 18 = 0. Let k = 16 - 11. Solve -9 = h - i + k*i, 0 = 2*i + l for h. 3 Suppose 5*r + 861 = 3*k, -3*r + 2*r = -5*k + 181. Let t be 2/10 + r/(-45). Solve -o - 3*n - 1 = 0, -6*o - 3*n = -t*o - 4 for o. 5 Suppose -g = 2*g - 30. Solve 2*j + 5*i + 13 = 0, -3*j + 5*i + 3 = g for j. -4 Let z = 35 - 31. Solve -3*b = 0, 0 = -h + 5*b - 3*b + z for h. 4 Suppose -3*s = -38 - 25. Suppose -2*w - s = -5*n, n + w = -2 + 9. Solve 2*r + r = 2*t + 10, -5*t + n*r = 15 for t. 1 Let s(u) = u**2. Let r be s(-2). Let x = -23 - -23. Solve 8 = r*t + 5*q - x, -5*q = -3*t + 6 for t. 2 Suppose 2*p - 6*p = -16. Suppose 12 = -s + p*s. Let m be ((-15)/(-9))/(2/24). Solve s*w = 0, 5*a + w - 2*w = -m for a. -4 Suppose 0*y = 2*y + 5*g + 2, -2*g = y. Suppose y*v + 2*a - 4*a = 2, -9 = -5*v - 4*a. Solve m + s - 8 = -v, 0 = -s + 3 for m. 4 Let h be 8/(8/4) - 4. Solve h = -4*k - 4, -3*g - 11 = 3*k - k for g. -3 Suppose 4*o - 2*o - 9 = 3*a, a - o = -3. Let x be 0 - (a + 6) - -7. Solve -2*b + 4*b - x*q - 30 = 0, -3*b - 2*q = -5 for b. 5 Suppose -168*h - 2 = -169*h. Solve -h*k = -x, 0 = 3*x - 3*k - 7 + 1 for x. 4 Let a be ((-9)/(-6))/((-1)/4). Let j be (-1 - a) + (2 - 3). Suppose -4 = -j*w - 4*o, -w + 4*o - 2 = -23. Solve -2*d + 1 = -w, -32 = -4*q - 4*d for q. 5 Let q = -2 - -12. Let r = q - 6. Suppose -3*j = 4*d + 8, r*j - 10 = -j + 5*d. Solve 3*m + j*m - n - 15 = 0, 5*m = -n + 17 for m. 4 Suppose a + 1 = 3. Suppose -22 = -4*j + z, 0 = a*j + 3*z - 2 - 2. Let r be (-4)/8 - 9/(-2). Solve -2*t + 2*h = -r*t + 16, -3*h + 34 = j*t for t. 5 Let r(o) be the second derivative of 2*o + 1/6*o**3 + 0 - 1/20*o**5 + o**2 - 1/12*o**4. Let w be r(-2). Solve 3*l - l + 1 = -n, -w*n = 2*l - 2 for l. -1 Let v = 42 - 39. Solve 2*l - 4 = -0*l - i, 3*l + v*i = 6 for l. 2 Suppose -2*g + 8 = -2*f + 46, 0 = -2*f - 5*g + 45. Solve 0 = -2*w + 5*b + 11 - 3, -5*w + f = -b for w. 4 Suppose 0 = 3*f - 12. Let m be -1 + -3 + f + 2. Solve m*r + 5*d + 0*d = 23, -2*d = -10 for r. -1 Suppose 0 = 44*r - 46*r + 36. Solve 0 = 2*m - 0*z - z + 6, 2*m + r = -2*z for m. -5 Suppose 0 = -0*c - 4*c + 32. Let v be 18/c - 4/16. Solve v*i + 3*o - 4 = -0*i, -3*i - o - 1 = 0 for i. -1 Let x be ((-1)/(-2)*0)/2. Suppose 0 = q + 18*q - 57. Solve q*s - 5*z - 23 = 0, 5*s - 2*z - z - 17 = x for s. 1 Suppose -2*b + 8 = 2. Solve -x = x + 3*t + 16, 4*t + 23 = -b*x for x. -5 Let c(b) = b**2 - 2*b - 1. Let w be c(-1). Solve 0 = g - 4*z + 7, 2*z = -w + 8 for g. 5 Suppose -4 = 3*b - 5*b. Let d = 7 + b. Solve 5*a + 0 + 1 = -2*i, -5*a + 2*i - d = 0 for a. -1 Let n(y) = 2*y + 1. Let v = 0 + 2. Let z be n(v). Solve 2*k = -4*q + 2, z*q = k + 1 - 9 for q. -1 Suppose 10 = -2*d + 4*d. Let i(v) = v**3 + 3*v**2 - 3*v - 4. Let u be i(-3). Solve 0 = 2*x + d*w - 25, -u*x + 30 = 5*w + 5 for x. 0 Let r = -1 - -1. Suppose r*j - 5*j = -50. Solve v - 9 = -2*u, -v = -4*u + j - 1 for v. 3 Let m(s) = 6*s - 1. Let c be m(1). Let r be 2 + 0 - (0 + c). Let v be 0*(-3)/18*r. Solve v = -j - l - 2*l - 18, 2*j - 4*l - 14 = 0 for j. -3 Let m be 4*1/2*-5. Let z = -7 - m. Suppose 2*s - 6 = 4*k, -5*s + 10*s - 4*k - 21 = 0. Solve -3*l + 2*f - 5*f = -3, 9 = z*l + s*f for l. -2 Suppose 4*s + 12 = 28. Solve 4*u = -4*g + s, 3*g + u - 1 = -0*u for g. 0 Let h = -7 + 11. Suppose 4*q - 34 = 3*q - 5*y, -4*q + 88 = -h*y. Solve -w - 1 = 2*x + 5, -w + q = -4*x for x. -5 Suppose -5*b = -a - 24, -18 = -4*b + 5*a - 3. Solve k + 5*u = b, 2*k - 5*u = 4*k - 5 for k. 0 Suppose 8 = -2*b - 16. Let d = b + 22. Let t = 128 + -88. Solve 2*v + 5*o - t = -d, 4*v - o - 16 = 0 for v. 5 Let n(v) = -v**3 - v**2 + 3*v + 2. Let f = -17 - -15. Let t be n(f). Solve -5*m = -5*y + 5, m + t*m - 3*y = -9 for m. 3 Suppose 0 = r - 1 - 1. Suppose -4*o + 64 = -12. Suppose 0 = 2*g - 4*s - 33 + 11, 0 = -2*g + 3*s + 19. Solve 0*f - g*f = -i - o, -r*i + 4*f = 14 for i. 1 Let x = 3 + -1. Suppose x = s - 1. Solve -2*k = p + 11, k = 5*
{ "pile_set_name": "DM Mathematics" }
lse Suppose -2*c + 9 = -5*c. Let w(f) = f**3 - 5*f - 2. Let k be w(c). Let b = 77 - k. Is b prime? False Let b(t) = t**3 - 7*t**2 + 6*t + 4. Let v be b(6). Suppose 2*o = -5*a + o - 5, -v*a = -o - 5. Suppose a = 4*r - 98 + 14. Is r prime? False Let q(d) = -14*d**3 + 4*d**2 + 4*d + 3. Is q(-2) composite? True Let l be (-32)/12 + 4/6. Let d(c) = -c**2 - 2*c + 2. Let w be d(l). Is 0 + -65*w/(-2) a prime number? False Let n(h) = h**3 + 4*h**2 - 2*h - 4. Let b be n(-3). Let x = b - 7. Is 2/3*402/x prime? True Let b(u) = u**3 - 4*u**2 + 2*u - 6. Suppose 2*w - 2*j = 14, 1 = j + 4. Let h be b(w). Suppose t - 33 = -h*t. Is t prime? True Suppose 0*g - 3 = 3*g. Let t be (0 - 159/g)/1. Suppose 5*u = 2*u + t. Is u a prime number? True Let d(r) = 3*r**3 - 3*r**2 - r + 2. Let v be d(2). Is (v/10)/(2/25) prime? False Let y(z) = z**3 + 7*z**2 + 6*z + 1. Let n be y(-6). Is n/((-1)/6*-2) composite? False Suppose -2*k + 18 = 3*k + 4*x, k - 12 = 2*x. Let u be 2 + 1 + -5 - -3. Let m = k + u. Is m a composite number? False Is ((-92)/(-3) - 5) + (-2)/3 composite? True Let b be (6 + -2)/(2 + -3). Let f(u) = -3*u + 12. Let q(r) = -2*r + 6. Let m(k) = -6*f(k) + 11*q(k). Is m(b) prime? False Let t = -75 - -222. Let d = t + -34. Is d a composite number? False Is (-12)/3 - 450/(-3) a composite number? True Let c be (5/(-2))/(3/(-6)). Suppose -6*k + 2 = -c*k. Is (-2 - 4)/(k/(-7)) prime? False Let t = 4 + 35. Is t a composite number? True Is 1/(-1) - (1 - 0)*-788 composite? False Let n be (-64 - (-2 - -1)) + -2. Let k = n - -108. Is k a composite number? False Let o be (-4)/(-4) - (-2 - -6). Is 1/o - 896/(-6) prime? True Suppose 4*o + o - 15 = 0. Suppose -5*m + 16 = -2*n, -n + 2*n = -o. Suppose -3*b + 85 = -m*b. Is b a composite number? True Suppose 2*y = -2*z + 4*y + 3636, 3*z - 5447 = -4*y. Is z a prime number? False Let h(o) = 6*o + 4*o**2 + 14*o + 0 + 3 - 5*o. Is h(-10) a prime number? False Let a(l) = 27*l + 8. Is a(9) composite? False Is (6 + -1)*(-257)/(-5) composite? False Suppose 2*m + 1 = 7. Suppose t + 326 = m*t. Is t a composite number? False Suppose -5*x + 30 = -0*x. Let j be 3*x/(-9)*1. Is -3 + (34 + j - -2) a prime number? True Let f(j) = 26*j**2 - j + 4. Let v be f(3). Suppose 3*q - v = -2*q. Is q composite? False Let h(b) = 2*b + 127. Is h(0) a prime number? True Is ((-4)/(-8))/(2/1004) a composite number? False Let i be 1*-2*37/(-2). Let q be ((-2)/(-6))/((-15)/(-90)). Let m = q + i. Is m a composite number? True Is (211 + -5)/((-3)/(-3)) composite? True Let j(a) = 26*a**2 + 2*a. Let o be j(2). Let v be (1/2)/(2/o). Let m = v + -8. Is m a prime number? True Suppose 4*z - 2*z + 3*o - 3133 = 0, -o = 3*z - 4682. Is z prime? True Suppose -185 = -0*k - 5*k. Is k prime? True Let o = 1 - -1. Suppose 0 = -w + 2*t - 11, -28 = o*w - 4*t + 2*t. Let i = w + 31. Is i prime? False Let g be 20 - ((-20)/4 + 4). Suppose -45 = 18*m - g*m. Is m composite? True Suppose -23 + 6 = -3*q - 2*z, 0 = 2*q - 4*z + 10. Suppose l = -q*l + 236. Is l composite? False Suppose 522 = 3*i - 1581. Is i a composite number? False Suppose -3*v = -q - 6, -2*v - 2*q = -6*v + 6. Let g = v + 10. Is g a prime number? True Let v = -5 - -3. Let y be (v/(-4))/(1/(-72)). Is y/((-3)/1) - 1 prime? True Let y(h) = h**3 - 3*h**2 - 3*h + 7. Let i be y(6). Let w = i + -44. Is w a prime number? True Let q = 68 - 96. Let t = 107 + q. Is (-2)/(1*(-2)/t) a composite number? False Let b(m) = -m**2 + 6*m. Let w be b(6). Suppose -c + w*c = 4. Let g(t) = -2*t**3 + 6*t**2 + 3*t - 1. Is g(c) composite? False Let b be (-1)/(-1 + 2/4). Suppose 5*z = -5*o, 3*z + 0 = -b*o - 2. Is o prime? True Suppose 3*h - 380 = -41. Is h a composite number? False Let s(t) = -29*t**3 + 2*t**2 - 2*t. Let v be s(2). Let x = 415 + v. Is x a prime number? False Suppose 0*m + m = 119. Suppose -3*c + 29 = m. Let b = c - -95. Is b a prime number? False Is 4 - -10*(-634)/(-4) composite? True Let z = -58 + 96. Suppose z = 4*j - 10. Suppose b - 5*b = j, 2*r - 73 = b. Is r prime? False Let j = 282 + -119. Is j composite? False Suppose 2*g - 25183 = 5*x - 65780, -4*x - 4*g = -32500. Is x a prime number? False Suppose -i = -2 - 1. Suppose -1 = -2*r + 3. Suppose -r*u + i*d + 132 = 28, -4*d + 41 = u. Is u a composite number? True Suppose 4*w + 2694 = 2*u - 0*w, -5*u - 2*w = -6675. Is u a composite number? True Let d be (-2)/(-8) - (-22)/8. Suppose -d*n + 0*a - 212 = -a, 16 = -4*a. Let b = -13 - n. Is b a prime number? True Let i = -447 + 306. Let k = -52 - i. Is k composite? False Let x be (-1)/(4/(1 + -45)). Let b = 15 + x. Is b a prime number? False Let j(n) = -93*n + 5. Is j(-2) prime? True Let t(o) = -o**3 - o**2 - 1. Let x(l) = -5*l**3 + 7*l**2 + 3*l + 9. Let c(k) = 6*t(k) + x(k). Let n(u) = u**2 - 4*u - 7. Let s be n(5). Is c(s) prime? True Let h = -2 - -13. Suppose t = -4*z + 30, 0 = t + 3*z - 19 - h. Suppose 5*w = 2*w + t. Is w a prime number? False Let k = 9 - 6. Suppose -k*x = -x - 500. Suppose -6*l + 2*l = -5*g - x, l + 2*g = 69. Is l a composite number? True Let u(h) = 3*h**2 + 4*h - 6. Is u(5) composite? False Suppose -i + 3*i - 5*f = 288, 0 = -2*i + 2*f + 294. Is i composite? False Let z be (24/10)/(3/15). Suppose z = 2*c - 6*c. Is 59 - c*(-4)/6 a composite number? True Suppose -f + 12 = -4*d - 1, 4*f - 16 = 4*d. Let r be 1*-2*f - -42. Suppose 4*w = t + r, -5*w - t + 37 = t. Is w composite? True Let h(v) = 6*v**2 + 3*v + 4. Let a = -8 + 18. Let j = a - 7. Is h(j) a composite number? False Suppose -41 = -4*q + 155. Is q a prime number? False Suppose 3*j + 2612 = 7*j. Is j composite? False Let k(h) = -h**3 + 5*h**2 + 5*h + 8. Let s be k(6). Suppose -s*u = c - 27, -2*u + 6*c = 3*c - 23. Is u composite? False Let h(k) = -k - 1. Let s be h(0). Let l = -1 - s. Is 67 + (0 - l/1) prime? True Let v = -671 + 1252. Is v a prime number? False Let m be (-1 - 3)/12*-3. Let g(j) = j**2 - j - 2. Let t be g(0). Is -38*(m/t)/1 a composite number? False Let t(y) = y. Let h(p) = -6*p + 3. Let i(s) = h(s) + 4*t(s). Let g(f) = -f**3 + 8*f**2 - 9*f + 8. Let x be g(7). Is i(x) a prime number? False Let b be ((-14)/(-4) + -2)*-2. Let x(r) = -r**3 + r**2 - 1. Is x(b) a prime number? False Let h(k) = -3*k - 6. Let w be h(-3). Is (w - 96)/(-1) - -4 prime? True Let l(j) = 2*j**2 - 2*j - 1. Let d be l(2). Suppose -3*n + n = 0, -4*x - 92 = -d*n. Is x*9/(3 + -6) prime? False Suppose 0 = 33*k - 39*k + 64806. Is k a prime number? False Let r(s) = 4*s - 2. Let c be r(-2). Is (-6)/c + 2364/10 a prime number? False Suppose 3*d - 2 = 4, i + 5*d = 3. Let y = i - -62. Is y composite? True Let l(v) = -v**3 + 2*v**2 + 2*v - 1. Let i be l(2). Suppose -i*x + 11 = -1. Suppose -2*r = -3*p + 148 - 48, 137 = x*p + r. Is p composite? True Let k(g) = g**3 + 4*g**2 - 5*g + 3. Let b be k(-5). Let d = b + 2. Suppose -d*w + 522 - 57 = 0. Is w a composite number? True Suppose 2*w - 275 = -735. Let v = -87 - w. Is v a composite number? True Suppose c = 5, 2*k - 417 = k - 2*c. Is k prime? False Suppose -196 = 4*j + 2*q, -4*j - 3*q = -0*j + 200. Let s = j + 126. Is s prime? True Let n be (17/(-3))/(4/(-24)). Let s = n - -40. Is s a prime number? False Suppose 0*m = -5*m + 30. Suppose m = -p + 3. Is p/12 - 266/(-8) prime? False Let j be -2*1 - (-1 + -1). Suppose j = 4*f - 3*a - 20, -4*f + 0*f = 5*a - 20. Suppose 3*r - f*v = 478, 4 + 0 = 4*v. Is r a composite number? True Suppose -n + 8 + 135 = 0. Is n a prime number? False Suppose 96 = -c - 611. Let w = 1100 + c. Is w a composite number? True Let x(j) be the first derivative of -1/4*j**4 + 1 - 3*j**3 + 8*j - 3/2*j**2. Is x(-9) a prime number? False Let v(y) = -y + y + 6*y**2 + 3 - 2*y. Is v(3) composite? True Let j be 16/2 - (-4 - -5). Let q = j - 9. Let u = q + 17. Is u a prime number? False Suppose -5 + 1 = -2*t. Suppose -t*f + f + 4 = 0. Suppose 0 = d + f*w + 13, 3*w + 43 = d + 3*d. Is d composite? False Let c(o) = -o**3 + 4*o**2 - o - 3. Let g be c(3). Suppose -j + g + 1 = 0. Let n(h) = h**3 + h**2 + 3*h + 5. Is n(j) a prime number? True Suppose -d = -3, -4*v - 5*d + 0*d + 235 = 0. Is v a prime number? False Suppose h + 3*h - 532 = 0. Let n = -55 + h. Let z = 239 - n. Is z composite? True Suppose 2*s = b + 10, 3*s = -b - 4*b + 15. Suppose 3*j - 159 = 2*u, 5*j + b*j - 5*u - 260 = 0. Is j a prime number? False Let l = 210 - -11. Is l a composi
{ "pile_set_name": "DM Mathematics" }
e third derivative of -504696*i**3*o**2 + 4*i**3*o - 2*i**3 + 196950*i**2*o**2 - 31*o**2 wrt i? -3028176*o**2 + 24*o - 12 Differentiate 6351342*r**3 + 58646592 with respect to r. 19054026*r**2 What is the derivative of k**3 + 7978*k**2 - 2329*k - 49575629 wrt k? 3*k**2 + 15956*k - 2329 What is the second derivative of -3359*g**2*p**2*r + 6054*g**2*p**2 + 26814*g*p**2*r - 1744*g*p**2 wrt g? -6718*p**2*r + 12108*p**2 What is the second derivative of 29130238*f**3 + 37526*f + 46 wrt f? 174781428*f Differentiate 337*h**4 - 225*h**3 - 3*h**2 - h + 311524 wrt h. 1348*h**3 - 675*h**2 - 6*h - 1 Find the second derivative of -3206494*i**2*o**2 + 39*i**2*o + 30*i*o - 67*i - 5*o wrt o. -6412988*i**2 What is the third derivative of -13009585*h**3*p**2 - 145*h**2*p**2 - 2260*h**2*p wrt h? -78057510*p**2 What is the third derivative of -17493309*v**3 + 305956*v**2 - 52*v? -104959854 Find the third derivative of 135869945*x**3 + 155*x**2 - 952908 wrt x. 815219670 What is the second derivative of -7690591*h**2 + 16*h - 2710 wrt h? -15381182 Differentiate -2*o*u**4 + 917421*o*u**3 + 8297756*o wrt u. -8*o*u**3 + 2752263*o*u**2 Find the third derivative of 33*g**3*t**2 - 2311775*g**3*t*y - 2*g**2*t**2*y + 2*g**2*t*y - 11*g**2*y + g*t*y - g + 122787*y wrt g. 198*t**2 - 13870650*t*y What is the third derivative of -a**4 + 122488000*a**3 + a**2 - 362238*a - 109 wrt a? -24*a + 734928000 What is the second derivative of -6192625*c**5 - 50176475*c? -123852500*c**3 Find the third derivative of -2*o**2*q**3 - 9*o**2*q - 7302*o**2 + 6*o*q**3 - 2017634*q**3 + 13*q**2 wrt q. -12*o**2 + 36*o - 12105804 Find the third derivative of 67041793*m**2*o*v**3 + 65529*m**2*o*v**2 + 2*m**2*v**3 - 39*m*o - o*v wrt v. 402250758*m**2*o + 12*m**2 Find the third derivative of -2*p**5 - 225*p**4 + 31288*p**3 + 6662*p**2 - 18*p - 45 wrt p. -120*p**2 - 5400*p + 187728 Differentiate -37599223*h**2 + 15534278 wrt h. -75198446*h Find the third derivative of -2*t**5 - t**4 + 11259285*t**3 - 56663320*t**2 wrt t. -120*t**2 - 24*t + 67555710 What is the derivative of 84453937*w + 121587038? 84453937 What is the third derivative of 2*b**3*d*k**3 - 2*b**3*k - 6105620*d**3*k**3 + 44*d**3 + 1969*k**2 wrt k? 12*b**3*d - 36633720*d**3 Find the second derivative of 23*l**2*x**2 + 153*l**2*x - 5273*l**2 - 30*l*x**2 + 301*l*x - 5*l + 9*x**2 + 5*x - 1 wrt l. 46*x**2 + 306*x - 10546 What is the second derivative of 162686897*p**4 + 192090795*p? 1952242764*p**2 What is the second derivative of -493246*j**3*m**2 + 776*j**3*m - 4*j**3 + 2*j**2 + 27*j*m wrt m? -986492*j**3 Find the second derivative of 7*d*h**2 - 32*d*h - 2*d - 7109736*h**3 + 384*h + 56 wrt h. 14*d - 42658416*h Find the third derivative of 3*b*q*y**4 - 385170*b*q*y**3 + 43*b*q*y**2 + 54*q*y**2 - 3*q + y**3 + 15*y**2 wrt y. 72*b*q*y - 2311020*b*q + 6 Find the first derivative of -237199112*x**3 - 1005694207. -711597336*x**2 Find the first derivative of -14358005*l**3*n**3 - l**3 + 9*l**2 + 11123 wrt n. -43074015*l**3*n**2 What is the first derivative of 3291755*d + 38425510 wrt d? 3291755 Find the third derivative of -4381982*u**5 + 6810*u**2 - u + 91 wrt u. -262918920*u**2 What is the second derivative of 28751667*i**3 - 2850*i - 1503 wrt i? 172510002*i What is the derivative of 117805741*r**3 + 501152 wrt r? 353417223*r**2 Differentiate 16*k**2*l**2 + 4645627*k**2 - 12*k*l**2 + 2*k + 63*l**2 - l wrt l. 32*k**2*l - 24*k*l + 126*l - 1 Find the third derivative of -44522*k**6 + 1050*k**4 + 3*k**3 + 11*k**2 - 902*k + 5748. -5342640*k**3 + 25200*k + 18 What is the second derivative of 5528*z**4 + 347*z**3 + 24*z**2 + 474292468*z wrt z? 66336*z**2 + 2082*z + 48 What is the third derivative of 624844932*s*u**3 + 374*s*u**2 + 4*s - 737*u**2 wrt u? 3749069592*s What is the first derivative of 4286323*a*l**2 - 4*a - 43601 wrt l? 8572646*a*l What is the second derivative of -7725597*p**3 - 18446025*p wrt p? -46353582*p What is the third derivative of -2*b**2*w**3 - 15486*b**2*w**2 + 761*b**2*w - 37940830*b*w**4 wrt w? -12*b**2 - 910579920*b*w Find the first derivative of 560565*t*x**3 - 3809534*t + x**4 - 2*x**2 wrt x. 1681695*t*x**2 + 4*x**3 - 4*x Find the second derivative of 19853642*z**4 - 2*z**2 - 7651784*z + 1 wrt z. 238243704*z**2 - 4 Find the first derivative of 6032300*h**3 - 4*h - 731327590 wrt h. 18096900*h**2 - 4 Find the second derivative of 195014038*b**4 - 140808714*b. 2340168456*b**2 Differentiate -41514851*s**4 - s**3 - 2*s**2 - 1251513650 with respect to s. -166059404*s**3 - 3*s**2 - 4*s What is the derivative of 23*r**3 + 6*r**2 - 3167*r - 6972202? 69*r**2 + 12*r - 3167 What is the third derivative of 16594166*c**6 - 35*c**2 + 56998*c wrt c? 1991299920*c**3 What is the first derivative of 85438674*s**3 - 24984236? 256316022*s**2 What is the second derivative of 712269591*b**4 - 121771*b + 1750 wrt b? 8547235092*b**2 What is the third derivative of 575308232*g**3 - 40*g**2 - 2*g + 1411849 wrt g? 3451849392 Differentiate 23428*h**2*t**2 + 467*h**2 - 857*h*t**2 - 444038*h with respect to t. 46856*h**2*t - 1714*h*t What is the second derivative of 39809286*h**3*m**2 - 994*h**3*m - 5*h**3 + 4*h**2*m + 115*m - 2 wrt m? 79618572*h**3 Find the first derivative of -20237237*t + 65544650. -20237237 Find the third derivative of -2983*y**4 - 15721*y**3 - 466044*y**2 - 16. -71592*y - 94326 Find the third derivative of 7820068*h**4 + 578523*h**2 + 10*h. 187681632*h Find the second derivative of 482400325*u*x**2 + 214744971*u*x wrt x. 964800650*u What is the third derivative of 5696011*t**4 - t**2 + 671844*t - 7? 136704264*t What is the third derivative of 168500915*q**3 + 11183457*q**2 + q + 1? 1011005490 What is the second derivative of 4016*c**3*g**2*l**3 + 2*c**3*g*h*l - 127*c**3*g*l**2 + 103*c**2*h*l**3 + 1160*c*g**2*h*l + 7*g*h*l**3 wrt g? 8032*c**3*l**3 + 2320*c*h*l What is the derivative of -11384433*k - 11237523 wrt k? -11384433 Find the second derivative of 30200*h**3*j**2 - 12*h**3*j - h**3 + 2*h**2*j**2 - 7*h*j**2 + 3*h*j - 1623 wrt j. 60400*h**3 + 4*h**2 - 14*h Find the third derivative of -78868020*b**3*n - 2*b**3 - 392*b**2*n - 11*b**2 + 7*b*n + 2*b - 3*n - 5 wrt b. -473208120*n - 12 What is the third derivative of 169544*q**4 + 24*q**3 - 1305158*q**2 wrt q? 4069056*q + 144 Find the second derivative of -388*j**2*q**4 + 248376*j**2*q**2 - 10*j**2*q - j*q + 26086*j + q wrt q. -4656*j**2*q**2 + 496752*j**2 What is the third derivative of 7542088*z**4 - 37*z**2 + 13492*z - 4? 181010112*z What is the third derivative of -18256728*s**3 - 117040*s**2 - 8? -109540368 What is the third derivative of -t**5 - 3098722*t**4 + t**3 + 1115*t**2 - 7*t - 1139? -60*t**2 - 74369328*t + 6 What is the third derivative of 120973708*c**3*h - 5*c**2*h - 5*c**2 - 12*c*h + 50585 wrt c? 725842248*h Find the second derivative of g**2*z**2 - 518476*g**2*z + 11*g**2 - 38401844*g*z**2 wrt g. 2*z**2 - 1036952*z + 22 Differentiate -2*w**4 + 461*w**3 - 2*w**2 - 7*w - 21985283. -8*w**3 + 1383*w**2 - 4*w - 7 What is the third derivative of 1524*p**4*q - 62*p**4 - p**3*q - 18301342*p**2*q wrt p? 36576*p*q - 1488*p - 6*q Find the first derivative of 36068716*d*g**2 + 11954*g**2 - 531*g wrt d. 36068716*g**2 Find the third derivative of 76*l**4 + 6381*l**3 - 355*l**2 + 678*l. 1824*l + 38286 Find the first derivative of 653574794*i - 354922148 wrt i. 653574794 Find the third derivative of -113*s**3*u*y + 4*s**3*u - 14*s**3*y - 183*s**3 - 2*s**2*u*y - 21*s**2*u - 2*s**2*y - s + 103940*u*y wrt s. -678*u*y + 24*u - 84*y - 1098 Find the third derivative of 3*f**2*h**3 + 48415*f**2*h**2 + 9*f*h**3 - 22*f*h**2 - 156944*h**3 wrt h. 18*f**2 + 54*f - 941664 What is the second derivative of -71*a**4*l + 295390*a**3*l + a*l + 27369772*a wrt a? -852*a**2*l + 1772340*a*l Find the third derivative of -3*s*x**4 + 2*s*x**2 - 8*s*x + 3*x**4 - 40184*x**3 + 8*x + 145 wrt x. -72*s*x + 72*x - 241104 What is the second derivative of -11*n*v**4 + 74941*n*v**3 - 89252*n*v + 14*v wrt v? -132*n*v**2 + 449646*n*v Find the second derivative of 47452*p**2*q**3*x**2 + p**2*q**3*x + 43711*p**2*q**2 - 1382*q**3*x**2 + 262*q**2*x wrt x. 94904*p**2*q**3 - 2764*q**3 Find the third derivative of 1210393*r**2*u**3*w**3 - 2*r**2*u**3*w**2 - 6*r**2*u**3*w - 13*r**2*u*w**3 - 5*r**2*u*w**2 + 2*r**2*w + r*u + 412
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence fpf when three letters picked without replacement from ffpppf? 3/20 Calculate prob of sequence ij when two letters picked without replacement from {j: 2, x: 1, i: 1}. 1/6 What is prob of sequence cm when two letters picked without replacement from dmcc? 1/6 Calculate prob of sequence cece when four letters picked without replacement from ecceeeccccec. 7/99 Calculate prob of sequence xkk when three letters picked without replacement from akxxazkz. 1/84 Three letters picked without replacement from {i: 1, p: 1, m: 5, y: 1, r: 2}. Give prob of sequence mii. 0 Calculate prob of sequence er when two letters picked without replacement from mmpmpmpeperwrperpeww. 3/95 Two letters picked without replacement from {y: 1, c: 5, e: 1, r: 3, t: 1, p: 1}. What is prob of sequence cy? 5/132 Calculate prob of sequence id when two letters picked without replacement from {d: 2, i: 2, l: 2}. 2/15 Four letters picked without replacement from {i: 10}. What is prob of sequence iiii? 1 What is prob of sequence bb when two letters picked without replacement from {z: 4, b: 5, j: 2}? 2/11 Four letters picked without replacement from {y: 5, c: 2, o: 1, i: 2, x: 5, j: 1}. Give prob of sequence jccy. 1/4368 What is prob of sequence nnjj when four letters picked without replacement from jijjjjnin? 5/378 Four letters picked without replacement from {t: 2, p: 1, k: 2, b: 1}. Give prob of sequence kbkt. 1/90 Calculate prob of sequence qum when three letters picked without replacement from {u: 1, m: 1, q: 2, i: 3}. 1/105 Calculate prob of sequence nu when two letters picked without replacement from ununuunuun. 4/15 What is prob of sequence srx when three letters picked without replacement from {s: 6, r: 2, x: 10}? 5/204 What is prob of sequence ng when two letters picked without replacement from {o: 2, l: 1, n: 1, w: 1, p: 1, g: 1}? 1/42 Three letters picked without replacement from {v: 4, z: 10}. What is prob of sequence zvv? 5/91 Calculate prob of sequence sd when two letters picked without replacement from jdsde. 1/10 Four letters picked without replacement from isssi. What is prob of sequence siis? 1/10 What is prob of sequence ebps when four letters picked without replacement from rbrpbsbuerppsbs? 1/910 Three letters picked without replacement from {l: 1, n: 2, r: 2, s: 2, z: 1, m: 1}. Give prob of sequence rsl. 1/126 Two letters picked without replacement from {l: 1, b: 2, d: 1, j: 1}. Give prob of sequence lj. 1/20 What is prob of sequence xuxu when four letters picked without replacement from {x: 5, u: 3, a: 3}? 1/66 What is prob of sequence efy when three letters picked without replacement from {y: 1, t: 1, v: 2, h: 1, e: 2, f: 1}? 1/168 Three letters picked without replacement from kkkk. Give prob of sequence kkk. 1 Four letters picked without replacement from pjdttgge. What is prob of sequence gted? 1/420 Three letters picked without replacement from {d: 3, r: 7, o: 3}. What is prob of sequence rrr? 35/286 Three letters picked without replacement from ffhfhhf. Give prob of sequence fhf. 6/35 Calculate prob of sequence nggn when four letters picked without replacement from {n: 13, g: 5}. 13/306 Calculate prob of sequence yff when three letters picked without replacement from {y: 8, f: 3, h: 7, u: 2}. 2/285 Four letters picked without replacement from {c: 1, i: 1, s: 2, w: 1, a: 2, g: 2}. What is prob of sequence iwgc? 1/1512 Calculate prob of sequence aes when three letters picked without replacement from armrruraaeas. 1/330 Two letters picked without replacement from {s: 2, r: 2, l: 4, o: 2, i: 4, h: 1}. What is prob of sequence or? 2/105 Three letters picked without replacement from kkkqkkyqkkkkkk. What is prob of sequence qyk? 11/1092 Two letters picked without replacement from eeeeeeeeelleleeelee. Give prob of sequence le. 10/57 What is prob of sequence pn when two letters picked without replacement from {i: 1, o: 2, p: 2, n: 1}? 1/15 What is prob of sequence qtq when three letters picked without replacement from {q: 2, u: 11, t: 1}? 1/1092 Two letters picked without replacement from {w: 2, p: 4, u: 2, j: 3, n: 1}. What is prob of sequence nw? 1/66 What is prob of sequence yca when three letters picked without replacement from ycaayryrrrcccccrrrr? 2/323 Four letters picked without replacement from pqqsq. Give prob of sequence qqps. 1/20 Four letters picked without replacement from vrrrvvrrvv. Give prob of sequence rrrr. 1/42 What is prob of sequence fz when two letters picked without replacement from ibzzbfflq? 1/18 What is prob of sequence mmmt when four letters picked without replacement from {m: 3, t: 1}? 1/4 Two letters picked without replacement from ttttwwtwwwwwt. Give prob of sequence tt. 5/26 Three letters picked without replacement from vpfpkgl. Give prob of sequence vgk. 1/210 Calculate prob of sequence sv when two letters picked without replacement from {p: 2, e: 3, v: 1, s: 2, n: 4}. 1/66 Three letters picked without replacement from {q: 2, w: 1, z: 1, u: 4, g: 1}. Give prob of sequence uzg. 1/126 What is prob of sequence kff when three letters picked without replacement from fffwfwkfffffpf? 15/364 Calculate prob of sequence eze when three letters picked without replacement from zzzzzdzeezdzz. 3/286 What is prob of sequence wwdw when four letters picked without replacement from {p: 4, d: 7, w: 4}? 1/195 Two letters picked without replacement from {c: 4, e: 1, s: 6, y: 3, n: 2}. Give prob of sequence cs. 1/10 Two letters picked without replacement from {b: 1, a: 1, u: 1, s: 1, l: 3}. What is prob of sequence la? 1/14 Two letters picked without replacement from {w: 1, y: 1, l: 1, n: 1, c: 1}. Give prob of sequence wn. 1/20 Calculate prob of sequence uefr when four letters picked without replacement from {e: 2, r: 2, u: 1, f: 1, c: 1}. 1/210 Three letters picked without replacement from {o: 12, c: 3, e: 3}. What is prob of sequence cee? 1/272 Three letters picked without replacement from vvvvvvvvvvlvv. Give prob of sequence vvv. 10/13 Four letters picked without replacement from {k: 2, r: 1, l: 2, n: 1, h: 4}. Give prob of sequence nkhk. 1/630 Three letters picked without replacement from {q: 2, d: 3}. What is prob of sequence dqq? 1/10 Calculate prob of sequence fa when two letters picked without replacement from {f: 1, q: 2, a: 2, n: 9}. 1/91 Calculate prob of sequence ua when two letters picked without replacement from uaaaua. 4/15 Four letters picked without replacement from {c: 2, j: 2}. Give prob of sequence jcjc. 1/6 Two letters picked without replacement from ttssttp. What is prob of sequence st? 4/21 What is prob of sequence wa when two letters picked without replacement from axaaxwaawaxx? 1/11 Two letters picked without replacement from uumhmuumhee. What is prob of sequence uh? 4/55 Three letters picked without replacement from xmxxmxqd. Give prob of sequence xqx. 1/28 Four letters picked without replacement from iiiiiiiii. Give prob of sequence iiii. 1 Two letters picked without replacement from zommasaiasam. Give prob of sequence za. 1/33 Two letters picked without replacement from uhu. Give prob of sequence hu. 1/3 Three letters picked without replacement from uuduuuuuuuuuuuuuuuu. What is prob of sequence duu? 1/19 What is prob of sequence asn when three letters picked without replacement from {u: 1, n: 5, z: 1, s: 3, a: 2}? 1/44 Calculate prob of sequence awd when three letters picked without replacement from wdaauffaufff. 1/440 What is prob of sequence pf when two letters picked without replacement from {f: 1, h: 6, p: 4}? 2/55 What is prob of sequence gpp when three letters picked without replacement from ppppgppgpppp? 3/22 Calculate prob of sequence eeee when four letters picked without replacement from {e: 18, c: 2}. 12/19 Three letters picked without replacement from {g: 1, j: 1, l: 5, i: 6, f: 1}. What is prob of sequence lli? 5/91 Three letters picked without replacement from {a: 4}. Give prob of sequence aaa. 1 Calculate prob of sequence yy when two letters picked without replacement from {q: 2, w: 1, y: 2, t: 4}. 1/36 Four letters picked without replacement from {p: 4, k: 6, f: 9}. What is prob of sequence pkkk? 5/969 What is prob of sequence br when two letters picked without replacement from kbbbbrbnb
{ "pile_set_name": "DM Mathematics" }
04 is divided by 584. 580 Calculate the remainder when 109497 is divided by 36321. 534 Calculate the remainder when 45449 is divided by 45087. 362 What is the remainder when 206116209 is divided by 25? 9 Calculate the remainder when 654846 is divided by 261. 258 What is the remainder when 3188899 is divided by 1255? 1199 What is the remainder when 30642054 is divided by 150946? 16 What is the remainder when 5352906 is divided by 165? 141 Calculate the remainder when 7944519 is divided by 22. 11 Calculate the remainder when 39138190 is divided by 13046058. 16 What is the remainder when 472836 is divided by 1225? 1211 Calculate the remainder when 452620 is divided by 1407. 973 What is the remainder when 626954 is divided by 2276? 1054 Calculate the remainder when 12864472 is divided by 3216053. 260 Calculate the remainder when 6055359 is divided by 298. 297 What is the remainder when 718873 is divided by 4995? 4588 What is the remainder when 87456 is divided by 4126? 810 Calculate the remainder when 118925 is divided by 29556. 701 What is the remainder when 2416238 is divided by 1208100? 38 Calculate the remainder when 13915931 is divided by 1695. 1676 Calculate the remainder when 16813 is divided by 530. 383 Calculate the remainder when 9771 is divided by 8996. 775 Calculate the remainder when 10763222 is divided by 2690803. 10 Calculate the remainder when 87188091 is divided by 907. 902 What is the remainder when 9714358 is divided by 37799? 15 Calculate the remainder when 758040 is divided by 75798. 60 What is the remainder when 31548375 is divided by 140215? 0 Calculate the remainder when 997228 is divided by 3989. 3967 Calculate the remainder when 25932241 is divided by 10. 1 Calculate the remainder when 88733 is divided by 1123. 16 What is the remainder when 234416 is divided by 194? 64 What is the remainder when 21314 is divided by 3337? 1292 What is the remainder when 9169641 is divided by 195098? 35 Calculate the remainder when 2208644 is divided by 887. 14 Calculate the remainder when 16279063 is divided by 127. 76 What is the remainder when 2154163 is divided by 18? 13 What is the remainder when 5414774 is divided by 1122? 2 What is the remainder when 78655951 is divided by 19? 17 Calculate the remainder when 50213 is divided by 142. 87 What is the remainder when 56451149 is divided by 77? 62 What is the remainder when 8250296 is divided by 111? 110 What is the remainder when 27677757 is divided by 5811? 5775 Calculate the remainder when 42521 is divided by 1897. 787 What is the remainder when 1315164 is divided by 187853? 193 What is the remainder when 224512 is divided by 1891? 1374 Calculate the remainder when 3188887 is divided by 129. 7 What is the remainder when 114987092 is divided by 4739? 4735 What is the remainder when 7821171 is divided by 49? 36 What is the remainder when 225687 is divided by 261? 183 What is the remainder when 7937889 is divided by 82686? 33 What is the remainder when 443583 is divided by 31682? 35 Calculate the remainder when 150331 is divided by 10734. 55 What is the remainder when 1995188 is divided by 223? 7 What is the remainder when 11809462 is divided by 1027? 1016 Calculate the remainder when 198073 is divided by 4. 1 What is the remainder when 110526 is divided by 11038? 146 Calculate the remainder when 932601 is divided by 586. 275 What is the remainder when 2054261 is divided by 2042? 9 Calculate the remainder when 79744268 is divided by 219. 17 Calculate the remainder when 22167441 is divided by 272. 257 What is the remainder when 2956265 is divided by 3895? 3855 Calculate the remainder when 26834961 is divided by 1922. 1919 What is the remainder when 3099564 is divided by 7907? 20 What is the remainder when 444598 is divided by 2244? 286 Calculate the remainder when 8289159 is divided by 1657826. 29 What is the remainder when 20637603 is divided by 44? 19 Calculate the remainder when 189957 is divided by 11162. 203 What is the remainder when 555544 is divided by 32565? 1939 Calculate the remainder when 1096007 is divided by 273965. 147 What is the remainder when 203514 is divided by 1683? 1554 What is the remainder when 875241 is divided by 75? 66 Calculate the remainder when 41843546 is divided by 3675. 3671 What is the remainder when 10933953 is divided by 1366712? 257 Calculate the remainder when 1495088 is divided by 21358. 28 What is the remainder when 378313223 is divided by 86? 83 Calculate the remainder when 23707 is divided by 21881. 1826 What is the remainder when 647178 is divided by 3139? 544 What is the remainder when 1193732 is divided by 298406? 108 What is the remainder when 926185 is divided by 308582? 439 Calculate the remainder when 1488541 is divided by 103. 88 What is the remainder when 300271542 is divided by 136? 134 What is the remainder when 3434997 is divided by 42? 27 What is the remainder when 23086701 is divided by 151? 9 What is the remainder when 8461990 is divided by 604425? 40 What is the remainder when 321800639 is divided by 112? 111 Calculate the remainder when 581735 is divided by 10388. 7 What is the remainder when 102869 is divided by 5762? 4915 What is the remainder when 154389 is divided by 1625? 14 What is the remainder when 492646 is divided by 282? 274 Calculate the remainder when 57672 is divided by 185. 137 What is the remainder when 531166631 is divided by 166? 163 What is the remainder when 36967 is divided by 4255? 2927 Calculate the remainder when 4238431 is divided by 129. 7 Calculate the remainder when 3475922 is divided by 8625. 47 What is the remainder when 3650943 is divided by 10030? 23 What is the remainder when 22731 is divided by 1421? 1416 Calculate the remainder when 1743052 is divided by 424. 412 What is the remainder when 85976220 is divided by 7768? 7764 Calculate the remainder when 478212 is divided by 7654. 3664 What is the remainder when 206180 is divided by 4451? 1434 What is the remainder when 3689766 is divided by 72338? 528 Calculate the remainder when 1182940 is divided by 13442. 44 What is the remainder when 170580418 is divided by 230? 228 Calculate the remainder when 104149 is divided by 25776. 1045 What is the remainder when 172522 is divided by 42299? 3326 What is the remainder when 135326 is divided by 12111? 2105 Calculate the remainder when 66775 is divided by 242. 225 Calculate the remainder when 3646656 is divided by 6320. 16 What is the remainder when 358555 is divided by 20? 15 What is the remainder when 51510 is divided by 2215? 565 Calculate the remainder when 3513987 is divided by 1170907. 1266 What is the remainder when 87854 is divided by 8? 6 What is the remainder when 404361 is divided by 201220? 1921 What is the remainder when 6145085 is divided by 52522? 11 Calculate the remainder when 134580 is divided by 22. 6 Calculate the remainder when 418768403 is divided by 267. 263 Calculate the remainder when 33073667 is divided by 1190. 1187 Calculate the remainder when 31611 is divided by 38. 33 Calculate the remainder when 244447 is divided by 4700. 47 What is the remainder when 10810903 is divided by 272? 263 Calculate the remainder when 2439750 is divided by 85. 80 What is the remainder when 8055509 is divided by 471? 467 What is the remainder when 2700496 is divided by 900156? 28 What is the remainder when 2155263 is divided by 165? 33 What is the remainder when 599895 is divided by 3896? 3807 What is the remainder when 13305222 is divided by 6652606? 10 Calculate the remainder when 214484999 is divided by 100. 99 What is the remainder when 57399 is divided by 27959? 1481 What is the remainder when 138213 is divided by 45997? 222 Calculate the remainder when 2250728 is divided by 12. 8 What is the remainder when 11333213 is divided by 12? 5 What is the remainder when 78337 is divided by 267? 106 Calculate the remainder when 576823 is divided by 13333. 3504 Calculate the remainder when 18035788 is divided by 94428. 40 Calculate the remainder when 1700823 is divided by 532. 19 What is the remainder when 26084370 is divided by 106? 102 Calculate the remainder when 6656204 is divided by 2181. 1973 What is the remainder when 684633 is divided by 2044? 1937 Calculate the remainder when 30519 is divided b
{ "pile_set_name": "DM Mathematics" }
vative of 338*m**2 + 22*m**5 + 20*m - 338*m**2 wrt m? 440*m**3 Let y(r) be the third derivative of r**7/42 + r**3/2 - 12*r**2. Differentiate y(i) wrt i. 20*i**3 Find the first derivative of 5 + 8 - 2*u**2 + u**2 + 0*u**2 wrt u. -2*u Differentiate 3 + 49*k**4 - 50*k**4 - 1 with respect to k. -4*k**3 Let u(z) = 11*z**2 - 3. Let y(n) = -21*n**2 + 6. Let q(w) = 7*u(w) + 4*y(w). What is the derivative of q(o) wrt o? -14*o Let d(y) = y**3 - 8*y**2 + 2. Suppose k - 8 = -0*k. Let t be d(k). Differentiate -2 - 1 + 3*b**t + 1 wrt b. 6*b Let d(c) = 12*c**3 + 18*c**2 + 11*c. Let n(f) = 4*f**3 + 6*f**2 + 4*f. Let p(s) = -4*d(s) + 11*n(s). What is the third derivative of p(r) wrt r? -24 Let b(i) = -i + 9. Let o be (-5)/(-20) + (-38)/(-8). Let j be b(o). What is the derivative of -7 - j*f**2 + 3*f**2 + 4 wrt f? -2*f Let q(j) = j + 9. Let s be q(0). What is the first derivative of 2 - 7 + s*k**2 - 4*k**2 wrt k? 10*k Let a(h) = -2*h + 19. Let f(b) = -5*b + 0*b + 9 + 0*b + 4*b. Let i(n) = 2*a(n) - 5*f(n). What is the derivative of i(k) wrt k? 1 Let x(u) be the first derivative of -u**7/210 - u**5/40 + u**3/3 - 2. Let j(p) be the third derivative of x(p). Find the second derivative of j(a) wrt a. -24*a Let i(p) = 15*p**4 - 11*p**2 - 11*p + 5. Let f(n) = -8*n**4 + 6*n**2 + 6*n - 3. Let h(b) = 11*f(b) + 6*i(b). What is the derivative of h(q) wrt q? 8*q**3 Let a(x) be the second derivative of 9*x**5/20 + x**2 - 3*x. Differentiate a(w) with respect to w. 27*w**2 Let c(x) be the first derivative of 1 + 1/2*x**4 + 0*x**2 + 2/3*x**3 + 0*x. Find the third derivative of c(a) wrt a. 12 Find the third derivative of -35*s**4 - 4*s**2 + 15*s**2 + 0*s**4 + 10*s**2 wrt s. -840*s Let i be (-12)/30 - (-34)/10. What is the second derivative of -4*u**2 + i*u**2 + 5*u + 0*u**2 + 4*u**2 wrt u? 6 What is the second derivative of 0*d**3 + 5*d + 356*d**5 + 0*d**3 - 347*d**5 wrt d? 180*d**3 Let t(s) be the first derivative of 2 + 2*s**2 + 0*s + 1/5*s**5 + 0*s**4 + 0*s**3. Find the second derivative of t(a) wrt a. 12*a**2 Let h(n) be the second derivative of -9*n**8/28 - 13*n**4/12 + 3*n. What is the third derivative of h(b) wrt b? -2160*b**3 Let l be ((-9)/6)/((-3)/4). Suppose -3 = -4*i + u, 3*i + l*u = -0*u + 16. Find the second derivative of -d - d + d**2 + d**i wrt d. 4 Suppose -3*q + 0*q = -9. Suppose q*p - 5*p = 0. What is the second derivative of -2*g + p*g - 2*g**5 + g**5 wrt g? -20*g**3 Let m(s) = s + 4. Let f be m(0). Let j(d) = 2*d - 6. Let n be j(f). Find the first derivative of 2*t**n + 2 - 4 + 1 wrt t. 4*t Let a(o) = -2*o - 9. Let x be a(-6). What is the first derivative of -x + 3 + 3*p**4 + 0 - 3 wrt p? 12*p**3 Let n(b) be the second derivative of 17*b**6/30 - 6*b**2 + 2*b. Differentiate n(z) wrt z. 68*z**3 Let v(d) be the third derivative of d**6/20 + d**5/6 + d**2. What is the third derivative of v(i) wrt i? 36 Let b(c) be the third derivative of 0 - 5/336*c**8 + 0*c**6 + 0*c**3 + 0*c + 0*c**5 - 5/24*c**4 - 2*c**2 + 0*c**7. Find the second derivative of b(q) wrt q. -100*q**3 Let s(c) = -97*c**3 + 2*c**2 - 9*c + 9. Let p(w) = -48*w**3 + w**2 - 4*w + 4. Let n(t) = -5*p(t) + 2*s(t). Find the second derivative of n(y) wrt y. 276*y - 2 Let o(s) = -10*s**4 - 2*s**3 + 16*s - 2. Let n(t) = t**4 + t**3 + t + 1. Let g(p) = -2*n(p) - o(p). Find the second derivative of g(a) wrt a. 96*a**2 Let s(v) = 71*v**3 + 13*v**2 + 51*v + 13. Let q(i) = -18*i**3 - 3*i**2 - 13*i - 3. Let p(o) = -26*q(o) - 6*s(o). What is the second derivative of p(j) wrt j? 252*j Let x(o) be the third derivative of 0*o**7 + 0*o + 0 - 1/8*o**4 - 2*o**2 + 0*o**6 + 1/168*o**8 + 0*o**5 + 0*o**3. What is the second derivative of x(g) wrt g? 40*g**3 Suppose 26 = 4*w + 10. Let x(i) be the first derivative of -i + 1/2*i**w + 0*i**3 + 2 + 0*i**2. Find the first derivative of x(p) wrt p. 6*p**2 Let g(v) be the third derivative of -v**6/15 + v**4/4 + 13*v**2. Find the second derivative of g(r) wrt r. -48*r Find the first derivative of -5*b**4 - 6 - 2*b**2 - 2*b**4 + 2*b**2 wrt b. -28*b**3 What is the third derivative of 17*h**3 - h**4 - 1 + 2781*h**2 - 19*h - 2782*h**2 + 1 wrt h? -24*h + 102 Let p = 1 + 4. Find the third derivative of -p*d**2 - 4*d**3 + 2*d**2 + 0*d**2 wrt d. -24 Let m be 61/20 + -3 - (-3 - -3). Let j(h) be the second derivative of 0*h**2 + 1/2*h**3 + 0 + 2*h + 0*h**4 + m*h**5. Find the second derivative of j(b) wrt b. 6*b Suppose l = 3*l - 8. Find the second derivative of 2*o**l - o**4 - 6*o + 4*o wrt o. 12*o**2 Let w(v) be the third derivative of 5*v**8/168 + v**5/30 - 7*v**4/24 + 37*v**2. Find the third derivative of w(i) wrt i. 600*i**2 Let g(r) = -5*r**3 - r**2 - 3*r. Let o(w) = 10*w**3 + 2*w**2 + 5*w. Let p(i) = -5*g(i) - 3*o(i). What is the third derivative of p(h) wrt h? -30 Suppose 0 = -0*v - 2*v + 4. What is the second derivative of -3*c**2 + 0*c**2 + 4*c - c + 2*c**v wrt c? -2 Let u = -1 - -3. Suppose -8 + 0 = -4*i. Find the third derivative of -2*y**2 + u*y**3 + i*y**3 - 2*y**2 - 2*y**3 wrt y. 12 Find the third derivative of 377*s**4 - 4*s**2 - 377*s**4 - 5*s**6 wrt s. -600*s**3 Suppose 4*s + 12 = -4*n, 3*n + 7 = -2*s - 3. What is the second derivative of s + t - 1 - 2*t**2 wrt t? -4 Let n(l) be the first derivative of -5*l**6/6 - 3*l**2/2 - 2. What is the second derivative of n(f) wrt f? -100*f**3 Let l = -3 - -5. Differentiate -t**2 - l - 2 + 1 with respect to t. -2*t Let t(n) be the third derivative of -11*n**9/252 - n**5/20 + n**4/12 + 2*n**2 - n. What is the third derivative of t(a) wrt a? -2640*a**3 What is the first derivative of 2 - 4 + 1 - 6*n - 6 wrt n? -6 Suppose -3*i - 4 + 10 = 0. Let b be 12/(-6) - 10/(-2). Find the third derivative of 4*h**i + 3*h**b - h**3 + h**3 - h**2 wrt h. 18 What is the second derivative of -3*f - f - 33*f**5 + 0*f**5 + 2*f**5 wrt f? -620*f**3 What is the third derivative of -10*z**2 + 4*z**3 - z**3 + 11*z**2 wrt z? 18 Let x be 1/(3 + 14/(-5)). Find the third derivative of -a**x + 2*a**5 - a**2 + a**5 wrt a. 120*a**2 What is the third derivative of 44*t**2 - 89*t**2 + 3*t**5 + 49*t**2 wrt t? 180*t**2 Let y(u) be the third derivative of u**6/24 - 3*u**5/20 - 14*u**2. Find the third derivative of y(a) wrt a. 30 Let j(c) = -11*c**2 + 15. Let l(w) = 7*w**2 - 10. Let k(u) = -5*j(u) - 8*l(u). Differentiate k(t) wrt t. -2*t Let n(b) = -b**3 + 9*b**2 - 6*b - 10. Let m be n(8). What is the second derivative of -m*u + 2*u - 15*u**3 + 16*u**3 wrt u? 6*u Let w(z) = -28*z**4 + 5*z**3 + 62*z + 5. Let n(b) = 14*b**4 - 3*b**3 - 31*b - 3. Let g(i) = 5*n(i) + 3*w(i). Find the second derivative of g(l) wrt l. -168*l**2 Suppose -a = 2*a - 9. Let w = 0 + 4. What is the second derivative of z - a*z + 5*z**w - 7*z**4 wrt z? -24*z**2 Let q(s) be the third derivative of 0*s**4 + 1/20*s**5 + 0 - 3*s**2 + 5/6*s**3 + 0*s. What is the first derivative of q(a) wrt a? 6*a Find the third derivative of 2053*d**3 - 23*d**2 - 13*d**6 - 2053*d**3 wrt d. -1560*d**3 Let v = -2 + 7. Suppose -m = -3*m + 2*x - 4, -v*x = 5*m - 40. What is the third derivative of -h**2 - h**3 + 0*h**2 + 0*h**m wrt h? -6 Let m(u) = 22*u**4 - 5*u**3 - 47*u + 5. Let g(w) = -21*w**4 + 6*w**3 + 47*w - 6. Let v(y) = -5*g(y) - 6*m(y). What is the second derivative of v(d) wrt d? -324*d**2 Let s(l) = -154*l**3 - 10*l**2 - 112*l. Let x(m) = -51*m**3 - 3*m**2 - 37*m. Let j(i) = -3*s(i) + 10*x(i). Find the second derivative of j(c) wrt c. -288*c Suppose 5*o - o - 4 = 0. Let s(y) be the first derivative of -y**3 + y**2 + 3*y - o + 0*y**3 - 3*y. Find the second derivative of s(n) wrt n. -6 Let w(s) be the third derivative of -9*s**2 + 1/20*s**6 + 0*s**5 - 3/2*s**3 + 0*s + 0*s**4 + 0. What is the derivative of w(d) wrt d? 18*d**2 Let r(c) be the second derivative of 0 + 1/6*c**4 + 0*c**6 + 0*c**5 - 1/42*c**7 + 3*c + 0*c**3 + 0*c**2. Find the third derivative of r(g) wrt g. -60*g**2 Let g(v) be the first derivative of v**3 - v**2/2 + 10. What is the second derivative of g(a) wrt a? 6 What is the first derivative of 2 + 3*s**4 - 13*s**4 + 3 - 11*s**4 wrt s? -84*s**3 What is the second derivative of -4*q - 2*q**3 + 0*q**2 - 2*q**2 + 2*q**2 wrt q? -12*q Let g(i) = i**3 - 5*i**2 + 4*i + 4. Let z(y) = -5*y**2 + 5*y + 5. Let w(c) = -5*g(c) + 4*z(c). Find the third derivative of w(q) wrt q. -30 Suppose 13*z - z - 36 = 0. Let w(x) be
{ "pile_set_name": "DM Mathematics" }
*3 + 24*i**2 + 57*i - 159. Calculate j(3). -15 Let z(f) = -4298*f + 2037256. What is z(474)? 4 Let f(i) = i**3 + 21*i**2 + 51*i - 255. What is f(-18)? -201 Let y(w) = w**3 - 291*w**2 - 285*w - 2032. Give y(292). 12 Let z(p) = 2*p**3 - 290*p**2 - 904*p - 67. Calculate z(-3). -19 Let z(b) = 550*b + 11752. Calculate z(-20). 752 Let j(l) = 59*l**2 + 14039*l - 780. Calculate j(-238). -66 Let m(d) = -d**3 - 2*d**2 + 10*d - 355. Calculate m(-12). 965 Let w(r) = -755*r + 60411. Determine w(80). 11 Let w(i) = 2165*i + 19321. Calculate w(-9). -164 Let f(z) = -z**3 + 2*z**2 - 5546*z - 16678. Determine f(-3). 5 Let h(j) = j**2 + 37*j - 134. Determine h(20). 1006 Let x(d) = -2*d**3 - 5*d**2 - 6*d - 142. Calculate x(-5). 13 Let z(b) = -33*b**2 + 1561*b - 5725. Give z(4). -9 Let b(x) = -40*x**2 + 1710*x - 98. Determine b(43). -528 Let w(g) = -5687*g - 2024564. What is w(-356)? 8 Let l(d) = 409*d + 117335. Determine l(-287). -48 Let f(q) = 12*q**3 - 99*q**2 - 7*q - 106. Determine f(9). 560 Let a(r) = -3*r**3 - 956*r**2 - 56160*r - 1682. What is a(-241)? 5 Let a(u) = -58133*u + 116263. What is a(2)? -3 Let r(x) = -1092*x**2 + 121214*x - 234. Determine r(111). -12 Let o(z) = -192389*z + 769550. Give o(4). -6 Let c(f) = 4*f**3 - 25*f**2 - 120*f + 654. Calculate c(5). -71 Let a(i) = -i**3 - 119*i**2 - 3533*i - 8839. What is a(-71)? 36 Let p(d) = -d**3 - 152*d**2 - 374*d - 11096. What is p(-150)? 4 Let w(h) = 13741*h - 301090. Calculate w(22). 1212 Let r(u) = -2*u**3 + 1463*u**2 + 3675*u - 3676. What is r(734)? -6 Let d(r) = 5*r**3 - 272*r**2 - 1037*r - 396. What is d(58)? 10 Let r(i) = -429*i + 32. Give r(1). -397 Let k(y) = 5*y**2 + 3676*y + 113182. Calculate k(-703). -1 Let w(c) = 5860*c - 24500. Determine w(4). -1060 Let b(v) = -369*v**2 - 175*v - 176. Calculate b(-1). -370 Let r(p) = p**3 - 99*p**2 - 402*p - 36043. Give r(106). -3 Let v(c) = c**3 + 96*c**2 + 119*c + 2193. What is v(-95)? -87 Let j(a) = 1716*a - 3092. Give j(3). 2056 Let y(m) = -m**3 + 71*m**2 - 192*m - 769. What is y(68)? 47 Let a(h) = -h**3 + 2993*h**2 - 29843*h + 126. What is a(10)? -4 Let j(a) = 235*a + 1615. Determine j(0). 1615 Let x(d) = -2*d**2 - 15*d + 62018. Give x(-179). 621 Let l(x) = -13524*x + 1555320. What is l(115)? 60 Let i(y) = -5224*y - 176822. What is i(-34)? 794 Let u(c) = c**3 - 104*c**2 - 550*c + 707. Calculate u(109). 162 Let m(t) = 856*t - 107382. Give m(126). 474 Let z(i) = -404*i - 48482. Give z(-120). -2 Let g(y) = 15*y**2 - 262*y + 247. Determine g(1). 0 Let t(z) = 5*z**2 - 10*z - 358. Calculate t(-9). 137 Let h(z) = z**3 + 203*z**2 + 1054*z - 695. What is h(-6)? 73 Let f(k) = 2*k**2 + 2247*k + 31061. Give f(-14). -5 Let j(g) = 5*g**2 - 644*g - 6097. What is j(-9)? 104 Let q(s) = -8128*s - 487695. Give q(-60). -15 Let r(q) = 15*q**2 + 1475*q + 4777. Calculate r(-95). 27 Let a(d) = 815*d - 7769. What is a(11)? 1196 Let r(b) = -449*b + 9995. Determine r(23). -332 Let n(c) = 28147*c + 55160. Give n(-2). -1134 Let f(n) = -n**3 + 182*n**2 + 3165*n + 497. What is f(198)? -97 Let x(y) = -y**3 - 42*y**2 + 57*y - 170. Give x(-43). -772 Let d(w) = 5928*w - 959853. Determine d(162). 483 Let p(r) = -1175*r + 13169. Calculate p(11). 244 Let o(q) = -26570*q - 11531388. What is o(-434)? -8 Let r(k) = -2004*k - 90160. What is r(-45)? 20 Let u(s) = 765*s - 35186. Calculate u(46). 4 Let q(r) = -23979*r + 9735469. What is q(406)? -5 Let h(f) = 159*f + 4845. Determine h(-31). -84 Let f(u) = 174*u**2 + 850*u - 65. Give f(-5). 35 Let w(t) = 943*t + 37436. Determine w(-40). -284 Let c(g) = -g**3 + 181*g**2 - 8151*g + 54. Determine c(81). -4077 Let h(o) = -89*o**2 + 440*o + 44. Give h(5). 19 Let p(i) = -2478*i + 21497. Determine p(9). -805 Let m(n) = -8263*n - 211. Determine m(0). -211 Let p(z) = -540*z**2 + 4809*z + 446. What is p(9)? -13 Let o(z) = -91801*z - 459005. Give o(-5). 0 Let p(x) = 1144426*x - 10299833. Determine p(9). 1 Let p(n) = -25*n**3 + 53*n**2 + 21*n - 32. What is p(-1)? 25 Let f(y) = 647*y**2 - 29112*y - 50. Give f(45). 85 Let d(h) = -58*h + 174. Determine d(6). -174 Let t(h) = 30120*h - 361439. Determine t(12). 1 Let i(p) = -3*p**2 - 249*p - 848. Give i(-79). 100 Let w(a) = -18*a**3 - 112*a**2 - 22*a - 1. Give w(-7). 839 Let w(r) = -3*r**2 - 81*r + 95. Determine w(-36). -877 Let t(p) = 1137*p + 7889. Give t(-7). -70 Let p(x) = 24*x - 540. Calculate p(22). -12 Let b(o) = 456*o + 86114. Determine b(-189). -70 Let d(c) = 2*c + 53. Determine d(29). 111 Let v(l) = 6716*l - 268634. Give v(40). 6 Let z(b) = b**3 - 24*b**2 + 57*b - 157. Calculate z(22). 129 Let b(c) = c**3 + 44*c**2 - 140*c + 38949. What is b(-58)? -27 Let r(o) = 16*o**2 + 4971*o + 8358. Give r(-309). 15 Let i(s) = -23*s**2 - 2741*s - 1405. Calculate i(-119). -929 Let i(x) = x**3 - 324*x**2 - 776*x + 40414. Calculate i(326). -10 Let v(q) = -q**3 - 65*q**2 + 379*q - 3081. Calculate v(-71). 256 Let y(p) = -1484*p + 649991. Calculate y(438). -1 Let d(f) = 65560*f - 590038. What is d(9)? 2 Let m(o) = 3*o**3 - 18*o**2 - 193*o + 685. What is m(3)? 25 Let z(p) = 6874*p**2 - 735513*p - 528. Give z(107). 7 Let j(p) = -p**3 - 295*p**2 + 2143*p + 12. What is j(7)? 215 Let x(p) = 13*p**3 + 370*p**2 + 158*p - 493. Give x(-28). -213 Let c(l) = 1682*l + 316216. Determine c(-188). 0 Let x(r) = 1552907*r - 7764531. Give x(5). 4 Let u(l) = -2*l**2 - 646*l - 24533. Determine u(-44). 19 Let i(q) = 52079*q + 364629. Give i(-7). 76 Let w(d) = -4*d**3 - 488*d**2 - 3623*d - 178. What is w(-114)? -3028 Let a(o) = -797695*o + 3190909. What is a(4)? 129 Let o(j) = -128*j**2 - 10297*j - 4692. Determine o(-80). -132 Let o(s) = 22*s**3 - 7*s**2 + 17*s + 27. What is o(-2)? -211 Let v(b) = -3*b**3 - 310*b**2 + 229*b + 2181. What is v(-104)? -3 Let n(r) = r**3 + 373*r**2 + 2571*r + 3353. Give n(-366). 59 Let a(w) = -w**3 - 288*w**2 - 902*w - 13430. Determine a(-285). -35 Let q(z) = 3*z**2 - 44*z + 143. Determine q(12). 47 Let g(i) = 6*i**2 + 2647*i + 266259. Calculate g(-286). -7 Let k(o) = o**2 + 1451*o - 33943. What is k(23)? -41 Let v(q) = 41*q - 3106. Give v(44). -1302 Let y(f) = f**3 + 82*f**2 - 840*f - 7777. Determine y(-6). -1 Let l(w) = -8677*w + 182339. Calculate l(21). 122 Let z(x) = -36*x**2 - 12699*x + 15945. What is z(-354)? 15 Let s(m) = -22771*m - 3848291. Determine s(-169). 8 Let g(w) = w**3 + 48*w**2 + 286*w + 201. What is g(-6)? -3 Let w(b) = 18*b + 2665. What is w(-122)? 469 Let p(w) = -4098*w + 127562. What is p(31)? 524 Let j(y) = 4*y**2 + 71*y - 944. Determine j(-30). 526 Let l(h) = 1384*h + 3948. Determine l(-3). -204 Let k(h) = -h**2 + 200485*h - 801926. Give k(4). -2 Let u(y) = 2*y**2 - 3138*y - 31415. Determine u(-10). 165 Let p(j) = -28*j**3 - 305*j**2 + 302*j + 2976. Calculate p(-11). 17 Let n(r) = 71135*r + 71127. Calculate n(-1). -8 Let g(b) = b**3 - 20*b**2 + 202*b - 1747. Determine g(17). 820 Let l(q) = -45*q - 1475. Calculate l(-29). -170 Let k(r) = 8*r**3 - 546*r**2 + 172*r + 196. Give k(68). 2644 Let z(y) = -y**2 - 1382*y + 9688. Determine z(7). -35 Let p(i) = -13*i**3 - 108*i**2 - 135*i - 105. Calculate p(-7). 7 Let d(h) = 399*h + 20714. What is d(-51)? 365 Let x(d) = 2*d**3 - 162*d**2 - 310*d - 1533. Give x(83). 293 Let g(n) = 3452*n + 417701. Calculate g(-121). 9 Let f(y) = -10*y**2 + 2694*y - 23462. Determine f(9). -26 Let d(m) = 10*m**2 - 38*m - 132. What is d(-4)? 180 Let o(l) = l**3 - 172*l**2 + 810*l - 24269. Give o(168). -1085 Let n(z) = z**3 - 170*z**2 + 2463*z - 109. Calculate n(154). -263 Let w(c) = 1842*c - 16802. Determine w(9). -224 Let a(o) = o**3 - 135*o**2 - 149*o + 1892. Calculate a(136). 124 Let y(w) = 23022*w - 4. Determine y(0). -4 Let j(s) = -33*s**2 + 16*s + 431. Calculate j(4). -33 Let p(a) = -26523*a - 79531. Calculate p(-3). 38 Let a(f) = -f**3 + 280*f**2 - 230*f - 17314. Determine a(279). -3643 Let c(v) = -v**3 + 46*v**2 - 100*v + 597. Give c(44). 69 Let a(x) = -2154*x + 86149. What is a(40)? -11 Let l(q) = 9*q**2 + 884*q + 443. What is l(-99)? 1136 Let y(v) = -v**3 + 23*v**2 + 71*v - 1779. What is y(21)? 594 Let q(w) = -498*w**2 - 974*w + 38. Calculate q(-2). -6 Let k(t) = 1950*t + 13744. Determine k(-7). 94 Let o(u) = -u**3 - 148*u**2 - 5477*u - 10255. Give o(-85). 115 Let p(k) = -443220*k - 1329671. Determine p(-3). -11 Let f(j) = 15*j**2 + 2506*j + 14491. Calculate f(-6)
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 562 is divided by 47. 45 What is the remainder when 40 is divided by 17? 6 What is the remainder when 3233 is divided by 77? 76 Calculate the remainder when 961 is divided by 37. 36 Calculate the remainder when 271 is divided by 34. 33 Calculate the remainder when 202 is divided by 12. 10 Calculate the remainder when 2048 is divided by 59. 42 What is the remainder when 435 is divided by 170? 95 What is the remainder when 353 is divided by 53? 35 Calculate the remainder when 2241 is divided by 51. 48 What is the remainder when 809 is divided by 10? 9 Calculate the remainder when 1126 is divided by 22. 4 What is the remainder when 807 is divided by 158? 17 What is the remainder when 499 is divided by 167? 165 Calculate the remainder when 1258 is divided by 20. 18 Calculate the remainder when 4033 is divided by 504. 1 Calculate the remainder when 1200 is divided by 50. 0 What is the remainder when 5400 is divided by 11? 10 What is the remainder when 339 is divided by 34? 33 What is the remainder when 5 is divided by 4? 1 Calculate the remainder when 916 is divided by 40. 36 Calculate the remainder when 22 is divided by 7. 1 Calculate the remainder when 24014 is divided by 158. 156 Calculate the remainder when 171 is divided by 39. 15 Calculate the remainder when 520 is divided by 18. 16 Calculate the remainder when 1644 is divided by 15. 9 What is the remainder when 5649 is divided by 36? 33 Calculate the remainder when 932 is divided by 55. 52 Calculate the remainder when 279 is divided by 33. 15 Calculate the remainder when 354 is divided by 65. 29 What is the remainder when 792 is divided by 56? 8 What is the remainder when 471 is divided by 59? 58 What is the remainder when 267 is divided by 58? 35 Calculate the remainder when 285 is divided by 26. 25 What is the remainder when 249 is divided by 63? 60 Calculate the remainder when 351 is divided by 59. 56 What is the remainder when 123 is divided by 7? 4 Calculate the remainder when 1975 is divided by 1946. 29 What is the remainder when 1762 is divided by 126? 124 What is the remainder when 610 is divided by 13? 12 What is the remainder when 2752 is divided by 677? 44 What is the remainder when 1517 is divided by 69? 68 What is the remainder when 4813 is divided by 1195? 33 What is the remainder when 190 is divided by 58? 16 Calculate the remainder when 182 is divided by 5. 2 Calculate the remainder when 1354 is divided by 113. 111 What is the remainder when 359 is divided by 87? 11 Calculate the remainder when 1089 is divided by 52. 49 Calculate the remainder when 10 is divided by 7. 3 Calculate the remainder when 13394 is divided by 22. 18 What is the remainder when 23 is divided by 5? 3 What is the remainder when 1336 is divided by 11? 5 Calculate the remainder when 367 is divided by 46. 45 Calculate the remainder when 155 is divided by 68. 19 What is the remainder when 633 is divided by 103? 15 What is the remainder when 1141 is divided by 380? 1 Calculate the remainder when 769 is divided by 26. 15 What is the remainder when 259 is divided by 34? 21 Calculate the remainder when 1713 is divided by 33. 30 Calculate the remainder when 1402 is divided by 237. 217 Calculate the remainder when 530 is divided by 195. 140 Calculate the remainder when 83 is divided by 12. 11 What is the remainder when 12140 is divided by 176? 172 What is the remainder when 2 is divided by 2? 0 Calculate the remainder when 449 is divided by 11. 9 Calculate the remainder when 667 is divided by 1. 0 What is the remainder when 89 is divided by 19? 13 Calculate the remainder when 639 is divided by 32. 31 What is the remainder when 202 is divided by 23? 18 What is the remainder when 1744 is divided by 33? 28 What is the remainder when 311 is divided by 15? 11 Calculate the remainder when 2173 is divided by 156. 145 What is the remainder when 891 is divided by 47? 45 What is the remainder when 48 is divided by 27? 21 What is the remainder when 214 is divided by 100? 14 Calculate the remainder when 2669 is divided by 334. 331 What is the remainder when 105 is divided by 24? 9 Calculate the remainder when 2950 is divided by 268. 2 What is the remainder when 34 is divided by 21? 13 What is the remainder when 45 is divided by 40? 5 Calculate the remainder when 379 is divided by 119. 22 Calculate the remainder when 289 is divided by 75. 64 Calculate the remainder when 347 is divided by 39. 35 What is the remainder when 13968 is divided by 5? 3 Calculate the remainder when 914 is divided by 9. 5 Calculate the remainder when 1746 is divided by 7. 3 What is the remainder when 733 is divided by 250? 233 What is the remainder when 1759 is divided by 1714? 45 Calculate the remainder when 1098 is divided by 184. 178 What is the remainder when 43 is divided by 9? 7 Calculate the remainder when 704 is divided by 33. 11 Calculate the remainder when 102 is divided by 28. 18 Calculate the remainder when 1507 is divided by 3. 1 Calculate the remainder when 613 is divided by 13. 2 What is the remainder when 159 is divided by 82? 77 What is the remainder when 168 is divided by 19? 16 What is the remainder when 391 is divided by 49? 48 Calculate the remainder when 470 is divided by 31. 5 What is the remainder when 280 is divided by 98? 84 What is the remainder when 108 is divided by 38? 32 What is the remainder when 215 is divided by 3? 2 Calculate the remainder when 342 is divided by 117. 108 Calculate the remainder when 681 is divided by 40. 1 What is the remainder when 1959 is divided by 28? 27 What is the remainder when 2805 is divided by 79? 40 What is the remainder when 1249 is divided by 48? 1 Calculate the remainder when 12579 is divided by 52. 47 Calculate the remainder when 85 is divided by 49. 36 What is the remainder when 126 is divided by 39? 9 Calculate the remainder when 3431 is divided by 31. 21 Calculate the remainder when 14100 is divided by 86. 82 What is the remainder when 155 is divided by 24? 11 Calculate the remainder when 59 is divided by 16. 11 What is the remainder when 228 is divided by 83? 62 Calculate the remainder when 118 is divided by 31. 25 Calculate the remainder when 8943 is divided by 14. 11 What is the remainder when 37 is divided by 19? 18 Calculate the remainder when 1403 is divided by 628. 147 What is the remainder when 1007 is divided by 63? 62 Calculate the remainder when 1556 is divided by 318. 284 Calculate the remainder when 228 is divided by 29. 25 Calculate the remainder when 13 is divided by 7. 6 What is the remainder when 287 is divided by 77? 56 Calculate the remainder when 420 is divided by 137. 9 Calculate the remainder when 148 is divided by 115. 33 What is the remainder when 6 is divided by 4? 2 What is the remainder when 5259 is divided by 239? 1 What is the remainder when 1361 is divided by 29? 27 What is the remainder when 3096 is divided by 286? 236 Calculate the remainder when 69 is divided by 44. 25 What is the remainder when 159 is divided by 39? 3 Calculate the remainder when 326 is divided by 10. 6 What is the remainder when 129 is divided by 30? 9 Calculate the remainder when 505 is divided by 11. 10 What is the remainder when 1428 is divided by 204? 0 Calculate the remainder when 1323 is divided by 191. 177 Calculate the remainder when 442 is divided by 74. 72 What is the remainder when 150 is divided by 68? 14 Calculate the remainder when 56 is divided by 19. 18 Calculate the remainder when 301 is divided by 16. 13 Calculate the remainder when 9122 is divided by 54. 50 Calculate the remainder when 8728 is divided by 43. 42 What is the remainder when 519 is divided by 32? 7 What is the remainder when 344 is divided by 69? 68 Calculate the remainder when 5287 is divided by 1759. 10 What is the remainder when 343 is divided by 58? 53 Calculate the remainder when 611 is divided by 199. 14 Calculate the remainder when 392 is divided by 36. 32 What is the remainder when 59 is divided by 18? 5 Calculate the remainder when 3447 is divided by 31. 6 Calculate the remainder when 169 is divided by 84. 1 What is the remainder when 2267 is divided by 91? 83 What is the remainder when 85 is divided by 31? 23 What is the remainder when 573 is divided by 190?
{ "pile_set_name": "DM Mathematics" }
+ 0*s**2)*(1 - s**3 - 1). s**5 Expand (-3 + i + 1 - 1)*(-15*i + 7*i**3 + 15*i). 7*i**4 - 21*i**3 Expand 11*h**5 - 2*h**5 + 0*h**5 + (-2*h**4 + 2*h**4 + 3*h**4)*(-h + 5*h - 3*h) + 2*h**5 - 2*h**4 + 2*h**4. 14*h**5 Expand -o + 0*o + 47 - 50 + (-3 + 1 + 3)*(-4*o + o + o) - 5*o - 5*o + 6*o. -7*o - 3 Expand (y + 2*y - 2*y)*(0 + 11 - 3)*(2*y**3 + 6*y**3 - 3*y**3)*(-2*y - 3 + 3). -80*y**5 Expand (4 - 3*b - 4)*(0 + 0 + 2*b**2 + (-3 - 1 + 3)*(0*b**2 - 5*b**2 + 3*b**2) + 4*b**2 + 3*b**2 - 2*b**2). -27*b**3 Expand (-4*d + 3*d + 3*d + (2*d - d - 3*d)*(-1 - 2 + 5) - 5*d + 4*d - d + 4*d - 2*d - 3*d)*(-8 - 4 + 4). 40*d Expand (-3*u - 2 + 5*u + 0*u)*((-5*u - 2*u + 4*u)*(5*u**2 + u**2 - 4*u**2) - 4*u**3 + 5*u**3 + 0*u**3). -10*u**4 + 10*u**3 Expand (-4*t + t + 4*t)*((9 + 1 - 5)*(-4 + 0 + 3) + 3 + 0 + 1). -t Expand (-98*m**2 + 12*m**3 + 98*m**2)*(-2*m**2 + 2*m**2 + 2*m**2). 24*m**5 Expand (2*a - 5*a + 4*a)*(17 - 13*a - 17). -13*a**2 Expand (-20*j + 11*j + 3*j)*(-3 + 3 - 1). 6*j Expand (1 + 4 + 1)*(3*n + 2*n - 2*n)*(-n + 2*n - 2*n). -18*n**2 Expand (x - x - 2*x**5)*(3 - 5 + 4 + 0 - 2 + 0 + (-3 + 1 + 1)*(-5 - 2 + 5) + 3 + 4 - 6 - 3 + 4 - 3 - 3 + 6 - 1 - 2 + 0 + 5). -12*x**5 Expand (-12 + 0 + 3)*(2*x + 3 - 3). -18*x Expand (4 - 3*v - 4)*(-22 - 5*v + 22). 15*v**2 Expand (l - l - 7*l**3)*(0*l**2 + l**2 - 3*l**2) + 2*l**3 - 3*l**5 + 2*l**5 - l**3. 13*l**5 + l**3 Expand j**2 + 2*j**4 - j**2 + (-j**2 + 2*j - 2*j)*(j**2 + j**2 - 3*j**2) - j**4 + 4*j**4 - 5*j**4. j**4 Expand (2*t + t - t)*(-5 + 10 + 4). 18*t Expand (-6 - 5 + 3)*(0*t - 4*t + t + 2*t**2)*(2 + 1 - 1 + (4 - 3 - 3)*(0 - 5 + 3) - 5 + 2 + 1). -64*t**2 + 96*t Expand (v - 2*v + 0*v)*(2 - 7 + 3) + 2*v + 0*v - 3*v + (3 - 1 - 1)*(v + 0*v + 3*v). 5*v Expand (2 - 2 - 2*c)*(-c**3 + 3*c**3 - 4*c**3) + (2 + 3*c - 2)*(c - c + 3*c**3 + (2 - 2 + c**2)*(-c + 0 + 0)). 10*c**4 Expand (4*f**3 - 2*f**3 - f**3)*(-3*f**2 - 4*f**2 + 5*f**2) + (-2*f + f - f)*(5 - 5 - 3*f**4) - 2*f**5 + 3*f**5 + 0*f**5. 5*f**5 Expand (-1 + 3 + 0)*(4 - 4 - 1 - 3*s**3). -6*s**3 - 2 Expand 11*p**5 - 2*p**5 + 5*p**5 + 4*p**2 + 2*p**5 - 4*p**2 + 3*p**4 - 2*p**5 - 3*p**4 + (p + 3*p - 6*p)*(p**4 + 1 - 1). 12*p**5 Expand (-4 + 3 + 2)*(0*f - 3*f + f)*((-3 + 0 + 4)*(3*f**2 - 5*f**2 + f**2) + f**2 - 5*f**2 + 3*f**2). 4*f**3 Expand (2 - d - 2)*(3 - 4 + 0) - 10*d - 2 + 2. -9*d Expand (2*o**3 - 9 + 2 - 3)*(1 - 1 - 3). -6*o**3 + 30 Expand -3*i + 0*i + 2*i + (-4*i - i + 3*i)*(0 - 2 + 1) + i + 0*i - 3*i + 2*i - i + i - 8*i + 69 - 69. -7*i Expand (0 - 4*o + 0)*(-2*o**3 - 2*o**3 + 3*o**3 + (3*o - o - o)*(-2*o**2 + 1 - 1) + o**3 + 5*o - 5*o + 2*o + 6*o**3 - 2*o). -16*o**4 Expand -2*y**2 - 3*y**2 + 6*y**2 + (-4*y - 7*y**2 + 4*y)*(-2 - 3 + 6) + 3 + 2*y**2 - 3. -4*y**2 Expand -2*j**2 + 4*j**3 + 2*j**2 + (-j**2 - j**3 + j**2)*(4 - 4 + 2) - j**2 + j**2 + j**3 + (-5 + 1 + 2)*(-2*j**3 - 1 + 1). 7*j**3 Expand (3 - 3 - w)*(-5 + 4 - 1) + (-w + 0 + 0)*(-4 + 2 + 4) + 2*w + 2*w + w. 5*w Expand -2*g**2 - 3 + 3 + (-g - 2*g + 5*g)*(-4*g - g + 3*g) + 2*g**2 - 3*g**2 - g**2 + (-1 - 3 + 5)*(2 - 2 + g**2) + 0*g**2 - 6*g**2 + 2*g**2. -11*g**2 Expand (3*n - 4*n - 2*n)*(-5*n + 2*n + 0*n)*(-3*n**2 - n**2 + 2*n**2). -18*n**4 Expand -2 + 2*u + 2 + (0 + 3 - 4)*(2*u - 4*u + 4*u) - 2*u - 2*u + 2*u + 3*u + u + 2*u - u - 4*u + 4*u. 3*u Expand (-4*b**2 + 0*b**2 + 2*b**2)*(2 + 2 - 1). -6*b**2 Expand 2*h**2 + 0 + 0 + 0*h**2 - 3*h**2 + 2*h**2 + (0*h**2 + 3*h**2 - 2*h**2)*(-2 + 1 - 1) + 2*h - 2*h + 2*h**2 + 799 - 799 - 5*h**2 + 1 - 1 + 2*h**2. -2*h**2 Expand (-1 + 0 - 1 + 1 + 3 - 2 + (-1 + 0 + 2)*(4 - 2 - 1) + 1 + 0 + 1 - 2 - 1 + 1 + 0 + 1 - 3 - 3 + 4 + 1)*(2*c - c + 0*c). c Expand k**3 - 7 + 7 + (k + 3*k**2 - k)*(-5*k + 2*k + 2*k)*(6 + 5 - 5). -17*k**3 Expand (-2*b - b + b)*(2 + 0 + 1)*(-b**2 + b**2 + b**3). -6*b**4 Expand (-l**2 + 4*l - 4*l)*(-5 - 1 + 5)*(-5*l + 4*l + 4*l)*(-1 - 1 + 0). -6*l**3 Expand (3 - 3 - r)*(-6*r**3 + 11 - 11) - r**4 - r**2 + r**2. 5*r**4 Expand (a + 4*a - 2*a)*(-4*a + 6*a - 4*a)*(-4 + a + 4) + 3*a**3 - 5*a**3 + a**3 + (-3*a + 3*a + 2*a)*(3*a**2 - 6*a**2 + a**2) + 1 + 2*a**3 - 1. -9*a**3 Expand (-18 - 14*p**3 + 18)*(0*p + 0*p + 2*p**2). -28*p**5 Expand (-3 + 3 + l)*(5*l**2 - 20*l**2 + 0*l**2). -15*l**3 Expand (2*p + 2*p - 3*p + (2*p + 2*p - 2*p)*(1 - 2 + 0) - 3*p + 0*p + 4*p + 4*p - 4*p + 2*p)*(-3 - 4 + 6)*(-3*p + 6*p - 2*p). -2*p**2 Expand (-1 - 1 + 6)*(2*a + 0*a + a) + (-2*a - 2*a + 2*a)*(0 + 0 - 1) + 3 - 3 + 2*a. 16*a Expand (-10*k + 4*k - 4 + k)*(4 - 3 - 2). 5*k + 4 Expand 4*v**2 + 3*v**2 - 4*v**2 + (v - v + 4*v - 4*v + v + v + (-6 + 4 + 3)*(0*v - 2*v + v))*(-2 + 2 + v). 4*v**2 Expand (-2 - 3 + 3)*(-i**2 + 2*i**2 + 2*i**2) - 2*i**2 - 4*i**2 + 2*i**2. -10*i**2 Expand (-4 + 2 - 4)*(1 + 5 - 4)*(2*z + 3*z - 4*z). -12*z Expand -3*w**5 + 0*w**5 - w**5 + 0*w**3 + 0*w**3 + w**5 + (-2*w**3 + w**3 + 3*w**3)*(-2*w**2 + 5 - 5) + 3*w**4 - 3*w**4 - w**5. -8*w**5 Expand -4*j**5 + 55 - 55 + (0*j**2 + 2*j**4 + 0*j**2)*(3 - 3 - j). -6*j**5 Expand (-12*i - 14*i + 7*i)*(-1 - 2 + 5). -38*i Expand (h - 3 + 3)*(13*h + 51*h - 12*h)*(1 - 1 + 2). 104*h**2 Expand (-3 + 2 + 0)*(-25 + m**2 + 25). -m**2 Expand 2 + 2*o**2 - 2 + (2*o**2 + o**2 + o**2)*(-4 + 3 - 4) - 2*o - 2*o**2 + 2*o. -20*o**2 Expand (-4 + 1 + 2)*(0 + 0 - b). b Expand (-5382 + 5382 - 130*m)*(-1 - 1 + 1). 130*m Expand (-2*k**2 - 2*k**2 + 5*k**2)*(9*k**2 - 20*k**2 + 19*k**2). 8*k**4 Expand 3*q**2 - q**2 - q**2 + (3*q - 12 + 12)*(0*q - 3*q + q). -5*q**2 Expand (5*f**3 + 4*f**3 - 3*f**3)*(0 - 1 + 2) + (0*f**3 + 2*f**3 - 3*f**3)*(4 - 2 - 3). 7*f**3 Expand 0*t**5 + 2*t**3 + t**5 + 0*t**3 + t**5 - 5*t**5 + t**5 + (-7*t**3 + 2*t**3 + 3*t**3)*(-2*t**2 + 0*t**2 + 0*t**2). 2*t**5 + 2*t**3 Expand (3*p + 0*p - p)*(-p - 3 + 3)*(4*p + p - 2*p). -6*p**3 Expand 3*d - 4*d + 0*d + (-d - 2 + 2)*(0 + 0 + 1) + 1 - d - 1 + 2*d - 2*d - d + (1 - 1 + 2*d)*(-50 - 5 + 25)*(-1 + 2 + 0) + 0*d - d - d. -66*d Expand ((-2 - 1 + 1)*(0 + 2 + 0) - 3 + 2 + 3)*(9*d + 9*d - 13*d). -10*d Expand (-2 + 3*r**3 + 2)*(0*r - 2*r + 4*r) - 4*r**4 + 2 - 2*r**3 + 2*r**3. 2*r**4 + 2 Expand -34 - 11*v + 34 + (-3*v + 6*v - v)*(-1 + 3 + 0) + (0 + 3 - 5)*(-1 + v + 1). -9*v Expand (-3*d + 6*d + d)*(d**4 - 3*d**4 + 4*d**4 + (2*d**3 - 2*d**3 + 2*d**3)*(d + 2*d - 2*d)). 16*d**5 Expand (-4 + 0 - 3*w + 2)*(4 - 3 - 4). 9*w + 6 Expand (-4*r + 5*r - 3*r)*(3 + r - 3)*(-2 + 0 - 2)*(0*r - 2*r - r). -24*r**3 Expand -c**2 + 3*c**2 - c**2 + (2*c + 3 - 3)*(c - 4*c + 2*c). -c**2 Expand (-2*g**2 - 3*g**2 + 4*g**2)*(0*g + 4*g - 2*g)*(0*g + 0*g + 4*g). -8*g**4 Expand (a + 2*a - 2*a)*(-a**2 + a**2 + a**2) + 3*a**3 - 3*a**3 + 6*a**3. 7*a**3 Expand (10*u + 3*u - 5*u)*(-4*u - u**2 + 4*u). -8*u**3 Expand 5*d - 5*d + 2*d**2 + (-2 - 7 - 4)*(2*d**2 + d**2 - 2*d**2). -11*d**2 Expand (4*i + 1 - 1)*(-4*i**3 + 0*i**3 + i**3) + i**4 + 5*i**4 - i**4. -7*i**4 Expand (-4*r**2 + 4*r**2 - 2*r**2)*(r + r - r)*(3 - 3 - 2). 4*r**3 Expand (-2 + 4*a**2 + 2)*(-2*a**2 - 3*a**2 + a**2)*(0*a + 0*a + a). -16*a**5 Expand (q - q - 2*q**2)*(-4 - 5 + 4). 10*q**2 Expand -3*z**4 - 7*z**4 + 6*z**4 + (1 - 1 + 2)*(-12*z + 12*z + z**4) + (z**2 - 3*z**2 + 0*z**2)*(0 + 0 + z**2). -4*z**4 Expand (i**3 - 4*i + 4*i)*(5*i - i + 2 - i)*(-1 + 2*i + 1). 6*i**5 + 4*i**4 Expand z**3 + 13*z**3 + 6*z**3 + (2 - 4 + 4)*(-3*z**3 + 2*z**3 + 0*z**3) + 0*z + 0*z - z**3. 17*z**3 Expand (-5*y**4 - 4*y**4 + 3*y**4)*(y + y - y). -6*y**5 Expand (-2 + 2 + 2*v**2 + (-2*v**2 - 1 + 1)*(-1 + 2 - 2))*(v**3 - v**3 - 2*v**3). -8*v**5 Expand (-4 + 1 + 2)*(-6*y + y + 3*y). 2*y Expand (2 - 3 - 1)*(p**3 + 2*p**3 - p**3) - 3*p**3 - 2*p**3 + 4*p**3 + 4*p**3 - 5*p**3 + 0*p**3 + p**3 - 3*p**3 + 3*p**3. -5*p**3 Expand w**4 + 3*w**4 - 3*w**4 + (4 + 2*w - 4)*(2*w - 2*w + 2*w**3) + 4*w**4 - w**4 - 2*w**4. 6*w**4 Expand (3*w**2 - 2*w**2 + 0*w**2)*(w + 11*w - 25*w). -13*w**3 Expand b**2 - 3*b**2 + 3*b**2 + (518*b - 23*b**2 - 518*b)*(1 - 5 + 3). 24*b**2 Expand 2*j - 2*j - 2*j**5 + (j + 1 - 1)*(-j**3 - 2*j**4 + j**3) + 4*j**5 - 24*j**5 + 0*j**5. -24*j**5 Expand (0*m + m**2 + 0*m)*(-m**3 - 2*m**3 + 4*m**3 + (-2*m + 3*m + m)*(-2*m**2 + m**2 - m**2) + 2*m**2 - 2*m**2 - m**3). -4*m**5 Expand -4 + 4 - 3*w**5 - 4*w**5 - 2*w**5 + w**5 + (-4*w + 3*w - w)*(-2*w**4 + 0*w**3 + 0*w**3). -4*w**5 Expand -19 - 10*x**2 + 19 + (0 - 2*x + 0)*(2*x + x - x). -14*x**2 Expand (4*f**4 + f**4 - f**4)*(-9*f + 47 - 47
{ "pile_set_name": "DM Mathematics" }
- 1 = -4*u - 0, -5*u - 10 = 5*m. Sort b, o, u in ascending order. u, o, b Let o = -43 - -43.08. Put o, -1/5, 5 in increasing order. -1/5, o, 5 Let x be 527/68 - 1/(-4). Sort 2, -4, x. -4, 2, x Let q be 133/(-63) - (-1 + -1). Let v = -5 + 1. Let h = v - -3. Put q, 5, h in increasing order. h, q, 5 Let c be 3/(3 - 0) - (-2)/(-10). Sort -5, 0.3, 47, c. -5, 0.3, c, 47 Suppose 4*n - 8 = 5*d, 2*n = -3*d + 4*n - 4. Sort d, 3, -6 in ascending order. -6, d, 3 Let a = 20.76 + 0.24. Let h = -21.09 + a. Put 0.1, h, 1 in ascending order. h, 0.1, 1 Let q(r) = -r + 1. Let h(k) = -8*k + 1. Let p(f) = -h(f) + 5*q(f). Let g be p(-3). Sort 2, 4, g in descending order. 4, 2, g Let r(u) = u + 2. Let y = -5 - -1. Let x be r(y). Sort 5, -5, x in ascending order. -5, x, 5 Suppose f + 2*a = 4, a = -8*f + 3*f + 2. Suppose k - 4*k - 9 = f. Sort k, 2, -4 in descending order. 2, k, -4 Let y = 33 + -37. Sort y, 4, -3, 0 in ascending order. y, -3, 0, 4 Let u = -42 - -42.3. Let p be 3/(-1)*8/(-6). Sort u, p, -5 in decreasing order. p, u, -5 Suppose -18*v = -21*v. Sort -10, 1, v in decreasing order. 1, v, -10 Let q be 80/(-14) + (-2)/7. Let k be 3/6*4/q. Put 0.5, k, 0.2 in ascending order. k, 0.2, 0.5 Let f = 3.5 + 0.5. Let g = -4 + f. Let i = -0.3 - g. Sort -0.4, 2, i. -0.4, i, 2 Let u(r) = -r**3 - 19*r**2 - 16*r + 30. Let m be u(-18). Put -5, -3, m in decreasing order. -3, -5, m Let w = -1.055 - -0.055. Put 2/9, w, -1/4 in decreasing order. 2/9, -1/4, w Suppose 8 = 2*i, 3*d - 6 - 17 = -5*i. Let c = 18 - 13. Put d, 0, c in ascending order. 0, d, c Let j = 0.2 - 0.1. Let n = -0.035 + 0.535. Sort n, 1, j in increasing order. j, n, 1 Suppose 0 = -4*i + 3*j + 7 + 16, 0 = -i - 2*j - 8. Suppose -3*w + 20 = i*w. Sort 0, w, 3 in increasing order. 0, 3, w Let o(a) = a**3 - 6*a**2 + a - 4. Let y be o(7). Let m = -6/437 + -44125/874. Let z = y + m. Put z, 1, 3 in increasing order. 1, z, 3 Let k = 1.22 - 1.1. Let p = 0.22 - k. Sort p, -4/7, -5 in decreasing order. p, -4/7, -5 Suppose 0 = 3*w + 4*r - 5*r - 10, -5*r = 5. Let p(o) = -o + 10. Let x = 10 + -2. Let l be p(x). Put w, -2, l in descending order. w, l, -2 Let m(a) = -a**3 + 5*a**2 + a. Let r be m(5). Let o = r - 4. Sort -3, o, 5 in decreasing order. 5, o, -3 Let w(d) = d**3 - 2*d**2 + 3*d - 2. Let u be w(2). Let f(t) = -t**2 + 7*t - 8. Let x be f(6). Let n = -1 + x. Sort u, 3, n in increasing order. n, 3, u Let n = -25 + 40. Suppose -5*q + 8*o - 3*o + n = 0, -3 = o. Let u(l) = l + 2. Let i be u(-4). Sort i, -5, q. -5, i, q Suppose -5*b = 2*p + 12 + 14, 5*p - b = -11. Let q be (-4)/(-2) - (1 - 0). Sort p, q, -1. p, -1, q Let o = 0.19 - 0.09. Sort o, 2/5, 1/3 in decreasing order. 2/5, 1/3, o Let i = 0.01 + 0.39. Let a(s) = -s**2 - 8*s + 8. Let k be a(-9). Let v = k - -5. Sort -0.2, i, v in ascending order. -0.2, i, v Suppose 0 = -0*u + 5*u. Suppose 8*m - 3*m - 20 = u. Sort 0, m, -2 in ascending order. -2, 0, m Let h be ((-42)/(-10))/((-3)/(-15)). Let w be 9/(-12) - h/(-28). Put 5, 1, w in descending order. 5, 1, w Let o = 5 - 6. Sort 1, 3/2, o in ascending order. o, 1, 3/2 Let j be ((-10)/((-480)/54))/(3/4). Let o = 0 - -0.3. Put -1, o, j in descending order. j, o, -1 Let x = -6/13 + 68/91. Sort 3/7, x, -0.3 in ascending order. -0.3, x, 3/7 Let q = 163 + -1469/9. Let i be 11/(-6)*2 - -3. Sort -0.4, q, i in decreasing order. q, -0.4, i Suppose 0 = -2*j - 0*j - 6. Suppose -46 = -5*m - 2*p, -2*m + 7 = p - 4*p. Let r be m/3 - (-8)/(-12). Sort -4, r, j. -4, j, r Let x = -3 - -2. Let o(m) = -m**3 - 2*m**2 - m - 2. Let i be o(-2). Suppose i = 8*p - 3*p - 20. Sort x, p, -4 in decreasing order. p, x, -4 Suppose -4*v - c - 6 = -1, 0 = -3*v + 4*c + 1. Let y(o) = -o**3 - 3*o**2 + 5*o + 1. Let x be y(-4). Let f be (-2)/x + (-2)/3. Put v, -3, f in increasing order. -3, v, f Let a = -6 - 1. Suppose 8 + 6 = -k + 3*w, 2*w = -4*k. Let p = a - k. Put p, -0.2, -0.4 in ascending order. p, -0.4, -0.2 Let y(s) = -s**3 - 4*s**2 - 2*s - 1. Let f(m) = -m**2 - m. Let v(c) = -4*f(c) + y(c). Let l be v(1). Sort l, 3, 1 in ascending order. l, 1, 3 Let k(i) = -i**3 + 6*i**2 - 4*i - 3. Let r be k(5). Put -0.3, -5, r in descending order. r, -0.3, -5 Suppose t - 1 - 2 = 0. Suppose 0 = 2*s + t*s + 15. Suppose 0*i + 5*y + 5 = 4*i, 3*y = -5*i - 40. Sort s, -4, i in decreasing order. s, -4, i Let u be ((-4)/(-14))/(3/(-21)). Sort -30, u, 4 in increasing order. -30, u, 4 Let w = 0.353 - 0.053. Sort 1, 2, w, 0.08 in decreasing order. 2, 1, w, 0.08 Let k be ((-2)/(-88)*2)/(1/(-4)). Let j = 4/15 - -37/30. Sort -4, j, k in descending order. j, k, -4 Let v(r) = r**2 - 3*r - 5. Let b be v(4). Let f = -143.8 + 144. Sort b, f, 1/3. b, f, 1/3 Let f = 0.92 - 1.92. Sort -2, -0.3, 2/7, f in ascending order. -2, f, -0.3, 2/7 Suppose 0 = -2*b - 0*b - 8. Let z = -3 + 1. Sort z, b, -5 in decreasing order. z, b, -5 Let v = -8 + 5. Let u = 8 + -3. Suppose -3*k - u*l = 21, k - 16 = 6*k + 2*l. Sort 0.1, v, k. v, k, 0.1 Let t = 1 - 0. Suppose -4 = -0*p + p. Let i be (4/(-2) + 2)/1. Put t, p, i in ascending order. p, i, t Let t(y) = -y + 5. Let v be t(7). Let l be v/4 + 10/(-4). Let z = -3 - l. Sort 2, 5, z in decreasing order. 5, 2, z Suppose 5*c - 2*c = -12. Let x = c - 0. Let k(q) = -5*q**3 - 2*q**2 - 2*q - 1. Let s be k(-1). Sort x, s, -3. x, -3, s Let s(k) be the third derivative of k**4/12 - 5*k**3/6 + 7*k**2. Let j be s(5). Put j, 4, 2 in decreasing order. j, 4, 2 Let z be ((-2)/1)/(-2 + -2 + 2). Put 0.5, z, -0.02 in decreasing order. z, 0.5, -0.02 Let y = -34 - -48. Let a be y/4 + (-1)/2. Suppose -2*s = 5*t - 17, 0*t = -4*t + 20. Put a, -1, s in increasing order. s, -1, a Let x be 104/(-48) - (-2)/12. Put 3, -18, x in decreasing order. 3, x, -18 Let d = -383 + 381. Let k(l) = l**2 + 4*l + 1. Let z be k(-4). Put 4, z, d in descending order. 4, z, d Let l = 14 - 25. Let o = -6 - l. Put 3, o, 1 in decreasing order. o, 3, 1 Suppose 0 = -5*c - c. Suppose -2*g + 4*m - 18 = -3*g, c = 2*g + 3*m - 11. Sort -3, g, 1 in descending order. 1, g, -3 Let r = -0.03 + 1.03. Let b = 0 - 0.5. Let c be ((-8)/6)/(4/(-6)). Sort c, r, b in descending order. c, r, b Suppose 2*h = -2*h. Put h, 3, 5 in ascending order. h, 3, 5 Let c = -27 + 16. Let z = -8 - c. Let k be -1*(3 + -3 - -2). Sort 0, k, z in decreasing order. z, 0, k Let s = -18 + 13. Let y = 13 + s. Let a = y + -8.3. Sort a, -2/3, 2/7. -2/3, a, 2/7 Let r be 2/(3 + (-2 - 15)). Let g = 8.1 + -8. Sort r, g, -0.3 in decreasing order. g, r, -0.3 Let i = 5 + -6. Sort -0.3, -4, i in ascending order. -4, i, -0.3 Let d = -1991/600 - 3/200. Put 1/2, -0.4, d in ascending order. d, -0.4, 1/2 Suppose 0 = 5*x + 10, -4*x = 4*w + 9 - 21. Let c(a) = -a**2 + a - 2. Let f be c(2). Sort -5, w, f in descending order. w, f, -5 Suppose 0 = 2*t + 5*b - 22, -8*t + 4*b - 13 = -5*t. Suppose -x + k - 4 = 0, 0 = 2*k - 4*k + 4. Sort t, 4, x in descending order. 4, t, x Let l = -0.1 - 2.9. Sort 2, l, 2/9. l, 2/9, 2 Let t = -1 - -1. Let h be 65/(-15) + (-2)/(-6). Let f(l) = l**3 + 3*l**2 - 5*l - 6. Let a be f(h). Put a, 5, t in descending order. 5, t, a Suppose 4*o + 3*k = 2*o + 18, 3*k = 5*o - 3. Let d = -4 - -6. Suppose -4*g - d*l + 8 = -5*l, -3*g - 5*l = -35. Sort 0, g, o in descending order. g, o, 0 Let q = 16 + -16.4. Sort -2/21, q, 0.3 in increasing order. q, -2/21, 0.3 Suppose 0 = -11*q + 15*q + 4. Let l be 5 + -2 + 1 + 0. Let i = l + -6. Sort q, -5, i in decreasing order. q, i, -5 Suppose 44 = 14*m - 10*m. Let v be -5 + m + 6/(-2). Put 5, v, -1 in descending order. 5, v, -1 Let b = 0.01 - -0.09. Let z = -2.96 - 0.04. Put 6, b, z in increasing order. z, b, 6 Let n = 17/42 + -1/14. Sort n, 2/15, 4/9 in ascending order. 2/15, n, 4/9 Let y(d) = -3*d + 1. Let g(u) = u**3 - 5*u**2 + 4*u - 1. Let p be g(4). Let z be y(p). Sort z, -2, -1 in decreasing order. z, -1, -2 Suppose 0 = t + 6*q - 2*q - 12, 2*t - 16 = -4*q. Let w(m) = m - 5. Let h be w(7). Put t, 5, h in ascending order. h, t, 5 Suppose -3*z - 3*f - 6 = 0, -4*z + 3*f = z + 26. Sort 5, z, -5 in decreasing order. 5, z, -5 Suppose -5*f = -s + 26, -5*f - 31 = -2*s - 4. Let p = -26 - -25. Put p, f, -3 in increasing order. f, -3, p Let v = 0.15 + -0.15. Sort -5, 0.4, v in descending order. 0.4, v, -5 Let w be -8 - 0 - (-3 + 0). Sort w, -4, -3. w, -4, -3 Let d = -5183/17 - -305. Sort -0.1, d, 4/3. -0.1, d, 4/3 Let m be 2
{ "pile_set_name": "DM Mathematics" }
-2222, -2232, -2254, -2294, -2358, -2452? -p**3 - 3*p - 2218 What is the h'th term of -26, -50, -76, -104, -134, -166? -h**2 - 21*h - 4 What is the b'th term of -226, -446, -662, -874, -1082, -1286? 2*b**2 - 226*b - 2 What is the t'th term of 21, 48, 77, 108, 141? t**2 + 24*t - 4 What is the u'th term of 5440, 5441, 5442, 5443? u + 5439 What is the p'th term of -277, -279, -281? -2*p - 275 What is the k'th term of -1513, -3032, -4551, -6070, -7589, -9108? -1519*k + 6 What is the g'th term of -1920, -1909, -1884, -1839, -1768, -1665, -1524? g**3 + g**2 + g - 1923 What is the w'th term of 4939, 9880, 14821, 19762? 4941*w - 2 What is the g'th term of -140, -393, -814, -1403, -2160, -3085, -4178? -84*g**2 - g - 55 What is the i'th term of 228, 225, 222, 219? -3*i + 231 What is the o'th term of -88, -166, -246, -328, -412, -498, -586? -o**2 - 75*o - 12 What is the a'th term of 46, 83, 146, 235, 350, 491, 658? 13*a**2 - 2*a + 35 What is the g'th term of 241, 257, 299, 379, 509? 2*g**3 + g**2 - g + 239 What is the x'th term of -585, -1164, -1753, -2358, -2985? -x**3 + x**2 - 575*x - 10 What is the j'th term of 15, 24, 33, 42, 51, 60? 9*j + 6 What is the n'th term of -7, -8, -11, -16, -23? -n**2 + 2*n - 8 What is the a'th term of -29, -20, -7, 10? 2*a**2 + 3*a - 34 What is the s'th term of -30, -97, -196, -327, -490? -16*s**2 - 19*s + 5 What is the q'th term of -57, -60, -63? -3*q - 54 What is the i'th term of -7, -25, -55, -103, -175? -i**3 - 11*i + 5 What is the l'th term of 407, 1609, 3613, 6419, 10027, 14437, 19649? 401*l**2 - l + 7 What is the d'th term of -494, -495, -496? -d - 493 What is the f'th term of -446, -877, -1306, -1733, -2158, -2581, -3002? f**2 - 434*f - 13 What is the z'th term of -1568, -3134, -4700, -6266, -7832? -1566*z - 2 What is the g'th term of -1970, -3942, -5914, -7886? -1972*g + 2 What is the g'th term of -1093, -2187, -3281, -4375, -5469, -6563? -1094*g + 1 What is the s'th term of 0, -27, -78, -153, -252, -375, -522? -12*s**2 + 9*s + 3 What is the s'th term of 2, -14, -32, -46, -50? s**3 - 7*s**2 - 2*s + 10 What is the c'th term of -302, -604, -906, -1208, -1510? -302*c What is the d'th term of -51, -186, -411, -726? -45*d**2 - 6 What is the u'th term of -169, -339, -509, -679? -170*u + 1 What is the a'th term of 49, 205, 467, 835, 1309, 1889, 2575? 53*a**2 - 3*a - 1 What is the t'th term of 719, 718, 717, 716, 715? -t + 720 What is the j'th term of -493, -496, -499? -3*j - 490 What is the c'th term of 50, 23, -4, -31, -58? -27*c + 77 What is the f'th term of -21, -190, -645, -1530, -2989, -5166? -24*f**3 + f**2 - 4*f + 6 What is the j'th term of -36, -37, -38, -39, -40, -41? -j - 35 What is the y'th term of -196, -193, -188, -181, -172, -161? y**2 - 197 What is the w'th term of 144, 287, 440, 609, 800, 1019, 1272? w**3 - w**2 + 139*w + 5 What is the k'th term of 463, 443, 425, 409, 395, 383, 373? k**2 - 23*k + 485 What is the v'th term of 4818, 4815, 4810, 4803, 4794? -v**2 + 4819 What is the p'th term of 389, 384, 375, 362, 345? -2*p**2 + p + 390 What is the u'th term of -265, -542, -819? -277*u + 12 What is the b'th term of 28, 98, 212, 370, 572? 22*b**2 + 4*b + 2 What is the j'th term of 41, 48, 53, 56? -j**2 + 10*j + 32 What is the l'th term of -571, -566, -559, -550, -539, -526? l**2 + 2*l - 574 What is the p'th term of -412, -407, -400, -391, -380, -367, -352? p**2 + 2*p - 415 What is the r'th term of 87, 229, 459, 771, 1159, 1617? -r**3 + 50*r**2 - r + 39 What is the i'th term of -259, -257, -253, -247, -239, -229? i**2 - i - 259 What is the j'th term of -735, -742, -749, -756, -763? -7*j - 728 What is the f'th term of -168, -343, -520, -699, -880, -1063? -f**2 - 172*f + 5 What is the z'th term of -475, -484, -505, -544, -607, -700, -829, -1000? -z**3 - 2*z - 472 What is the t'th term of -122, -289, -460, -635, -814, -997, -1184? -2*t**2 - 161*t + 41 What is the w'th term of -36, -80, -160, -282, -452, -676, -960, -1310? -w**3 - 12*w**2 - w - 22 What is the b'th term of 35, 44, 63, 98, 155, 240? b**3 - b**2 + 5*b + 30 What is the a'th term of -89, -142, -197, -254, -313, -374, -437? -a**2 - 50*a - 38 What is the v'th term of 111, 86, 15, -126, -361? -4*v**3 + v**2 + 114 What is the v'th term of 47, 185, 423, 767, 1223? v**3 + 44*v**2 - v + 3 What is the s'th term of -124, -226, -328? -102*s - 22 What is the c'th term of 95, 122, 149? 27*c + 68 What is the g'th term of -146, -154, -174, -212, -274, -366, -494, -664? -g**3 - g - 144 What is the i'th term of 431, 434, 439, 446, 455? i**2 + 430 What is the s'th term of -2764, -2755, -2734, -2695, -2632, -2539, -2410? s**3 + 2*s - 2767 What is the y'th term of -98, -114, -140, -176, -222, -278? -5*y**2 - y - 92 What is the k'th term of 51, 47, 31, -3, -61, -149, -273, -439? -k**3 + 3*k + 49 What is the f'th term of -400, -382, -346, -286, -196, -70, 98, 314? f**3 + 3*f**2 + 2*f - 406 What is the w'th term of 12, 33, 68, 117, 180, 257, 348? 7*w**2 + 5 What is the u'th term of -44, -39, -22, 13, 72? u**3 - 2*u - 43 What is the b'th term of 2699, 10815, 24341, 43277, 67623? 2705*b**2 + b - 7 What is the t'th term of -35, -108, -229, -398, -615, -880? -24*t**2 - t - 10 What is the l'th term of -18, -197, -686, -1641, -3218, -5573? -26*l**3 + l**2 + 7 What is the x'th term of 11, 54, 127, 230, 363, 526, 719? 15*x**2 - 2*x - 2 What is the p'th term of 833, 834, 835, 836? p + 832 What is the l'th term of 26, 24, 22, 20? -2*l + 28 What is the x'th term of 574, 569, 562, 553, 542, 529? -x**2 - 2*x + 577 What is the l'th term of 116, 124, 132, 140? 8*l + 108 What is the f'th term of 57, 120, 173, 210, 225, 212, 165? -f**3 + f**2 + 67*f - 10 What is the s'th term of 253, 251, 245, 235, 221, 203? -2*s**2 + 4*s + 251 What is the z'th term of 19, 87, 199, 355? 22*z**2 + 2*z - 5 What is the b'th term of -821, -814, -803, -788, -769, -746, -719? 2*b**2 + b - 824 What is the a'th term of 81, 172, 269, 378, 505, 656? a**3 - 3*a**2 + 93*a - 10 What is the h'th term of -518, -2075, -4670, -8303, -12974, -18683, -25430? -519*h**2 + 1 What is the q'th term of -230, -237, -244, -251, -258? -7*q - 223 What is the w'th term of 6550, 13097, 19644, 26191, 32738? 6547*w + 3 What is the r'th term of 499, 503, 503, 493, 467? -r**3 + 4*r**2 - r + 497 What is the i'th term of -110, -215, -320, -425? -105*i - 5 What is the l'th term of 1, -10, -21, -26, -19, 6? l**3 - 6*l**2 + 6 What is the l'th term of 7, 6, 5, 4, 3? -l + 8 What is the h'th term of -18, -13, -8, -3? 5*h - 23 What is the l'th term of -7, 2, 23, 62, 125, 218, 347, 518? l**3 + 2*l - 10 What is the u'th term of 144, 185, 298, 519, 884, 1429, 2190, 3203? 6*u**3 - u + 139 What is the p'th term of -13, -25, -37, -49? -12*p - 1 What is the m'th term of -843, -850, -871, -912, -979? -m**3 - m**2 + 3*m - 844 What is the q'th term of 2282, 2284, 2286, 2288, 2290, 2292? 2*q + 2280 What is the o'th term of 1, -34, -103, -206, -343? -17*o**2 + 16*o + 2 What is the w'th term of -61, -95, -129? -34*w - 27 What is the n'th term of -36, -39, -44, -51, -60, -71, -84? -n**2 - 35 What is the s'th term of -5, -7, -7, -5, -1? s**2 - 5*s - 1 What is the j'th term of 0, 5, 10, 15, 20, 25? 5*j - 5 What is the o'th term of 18, -12, -68, -156, -282, -452, -672, -948? -o**3 - 7*o**2 - 2*o + 28 What is the d'th term of 205, 306, 467, 682, 945, 1250, 1591? -d**3 + 36*d**2 + 170 What is the h'th term of -28, -60, -142, -298, -552, -928? -4*h**3 - h**2 - h - 22 What is the c'th term of -144, -452, -966, -1686, -2612? -103*c**2 + c - 42 What is the d'th term of 35, 88, 167, 266, 379? -d**3 + 19*d**2 + 3*d + 14 What is the y'th term of 1010, 2016, 3022, 4028? 1006*y + 4 What is the k'th term of 0, -88, -228, -414, -640, -900, -1188, -1498? k**3 - 32*k**2 + k + 30 What is the n'th term of 30, 90, 174, 282, 414? 12*n**2 + 24*n - 6 What is the c'th term of 4010, 4005, 3996, 3983, 3966? -2*c**2 + c + 4011 What is the w'th term of -83, -100, -143, -224, -355? -2*w**3 - w**2 - 80 What is the t'th term of 600, 2449, 5532, 9849? 617*t**2 - 2*t - 15 What is the d'th term of 7, 16, 23, 28, 31, 32, 31? -d**2 + 12*d - 4 What is the q'th term of -460, -457, -454? 3*q - 463 What is the z'th term of 17911, 17919, 17941, 17983, 18051, 18151, 18289, 18471? z**3 + z**2 - 2*z +
{ "pile_set_name": "DM Mathematics" }
on factor of 17908 and 54822086. 814 What is the highest common divisor of 8262 and 40494? 102 What is the highest common divisor of 2276574 and 5559? 327 What is the highest common divisor of 504 and 6154104? 24 Calculate the greatest common divisor of 264484 and 90684. 44 Calculate the greatest common divisor of 23863484 and 524. 524 Calculate the greatest common factor of 1034 and 313518106. 1034 Calculate the highest common factor of 7669 and 34870943. 7669 What is the highest common divisor of 104 and 156918749? 13 What is the greatest common divisor of 98679429 and 1314? 657 Calculate the greatest common factor of 21 and 330218658. 21 What is the greatest common factor of 11658 and 2346564? 174 What is the greatest common divisor of 5696742 and 174? 6 Calculate the greatest common factor of 59481 and 423. 9 Calculate the greatest common divisor of 30 and 96031315. 5 What is the highest common divisor of 207 and 9156951? 9 Calculate the greatest common divisor of 12068608 and 224. 32 Calculate the greatest common factor of 17300896 and 212. 212 What is the highest common divisor of 324540 and 73440? 540 Calculate the highest common factor of 1135813 and 3400054. 1477 Calculate the greatest common factor of 252 and 13086668. 28 What is the highest common divisor of 4145 and 108344497? 829 What is the greatest common divisor of 45423 and 134148? 21 Calculate the greatest common factor of 13946806 and 2911. 41 Calculate the highest common factor of 133 and 19110238. 133 What is the greatest common factor of 10461 and 4823472? 951 Calculate the greatest common divisor of 900090 and 557355. 1095 What is the highest common factor of 32040 and 109381? 89 What is the highest common divisor of 194733 and 148247? 11 What is the greatest common divisor of 2282 and 8928488? 326 Calculate the greatest common divisor of 8050 and 30765950. 1150 Calculate the greatest common divisor of 511 and 125409109. 511 What is the greatest common divisor of 22648873 and 244? 61 Calculate the greatest common divisor of 322 and 30178898. 46 What is the greatest common divisor of 930 and 19594635? 465 What is the greatest common factor of 9588 and 14422749? 2397 What is the highest common factor of 20 and 30454705? 5 Calculate the greatest common divisor of 385 and 4534035. 55 Calculate the highest common factor of 1304 and 35828378. 326 Calculate the highest common divisor of 1900 and 11903785. 95 What is the greatest common factor of 289095 and 37260? 15 Calculate the highest common divisor of 103500 and 155940. 1380 What is the greatest common factor of 14554540 and 12155? 715 What is the highest common factor of 7427816 and 440? 88 Calculate the highest common factor of 223584688 and 16. 16 Calculate the highest common divisor of 738 and 36153. 9 Calculate the highest common factor of 3 and 5007623. 1 What is the greatest common divisor of 200 and 1301730? 10 Calculate the highest common divisor of 3029371 and 506322. 1223 What is the greatest common divisor of 45 and 4624735? 5 What is the highest common factor of 61866 and 7196096? 982 What is the highest common factor of 1746528 and 3682? 14 What is the greatest common divisor of 31 and 137611449? 31 Calculate the highest common factor of 11635 and 196005. 895 Calculate the highest common divisor of 110 and 1115554. 22 What is the highest common factor of 609907854 and 12618? 4206 Calculate the highest common factor of 234 and 9224046. 234 What is the highest common divisor of 339633 and 32238? 81 Calculate the highest common divisor of 110 and 23576260. 10 What is the greatest common factor of 4607603 and 3003? 1001 Calculate the highest common divisor of 22 and 549038138. 22 Calculate the highest common divisor of 56025 and 7025. 25 Calculate the greatest common factor of 11 and 1377949. 1 Calculate the greatest common factor of 20798960 and 6370. 910 What is the greatest common divisor of 162 and 4998456? 54 Calculate the greatest common factor of 2334642 and 6. 6 What is the highest common divisor of 2201969 and 22946? 77 Calculate the highest common factor of 254640 and 367860. 60 Calculate the greatest common factor of 760 and 89719900. 380 What is the greatest common factor of 13770 and 308046? 6 What is the highest common factor of 1370 and 102315984? 274 What is the highest common divisor of 129158799 and 105? 21 Calculate the highest common divisor of 3356364 and 127182. 3102 Calculate the highest common divisor of 1617525 and 57421. 91 Calculate the greatest common factor of 23845 and 1199780. 1255 Calculate the highest common factor of 8460 and 979700430. 1410 Calculate the greatest common factor of 3918558 and 4740. 474 Calculate the greatest common divisor of 1760 and 34992. 16 What is the greatest common factor of 285 and 118899492? 57 What is the greatest common factor of 39400642 and 4902? 1634 Calculate the highest common factor of 340870 and 975440. 890 Calculate the greatest common factor of 1526 and 1452486. 14 What is the greatest common factor of 4014 and 135099? 9 What is the greatest common factor of 32 and 34033228? 4 What is the highest common divisor of 5407 and 698449225? 5407 What is the highest common divisor of 241062 and 420? 6 Calculate the highest common divisor of 13 and 174817266. 13 Calculate the highest common factor of 60831 and 2412. 9 Calculate the highest common divisor of 68342964 and 3058. 278 What is the highest common divisor of 35081625 and 12240? 255 What is the greatest common divisor of 2615967 and 1917? 9 Calculate the highest common factor of 564496 and 4304. 16 Calculate the greatest common divisor of 36208 and 56792. 248 What is the highest common divisor of 190 and 2507278? 38 Calculate the greatest common divisor of 391 and 1052756943. 391 What is the greatest common divisor of 34577 and 387589? 71 What is the highest common factor of 9261311 and 20519? 1207 What is the highest common divisor of 7052 and 33380642? 3526 What is the highest common factor of 27 and 49118859? 27 What is the greatest common divisor of 102668995 and 2145? 715 What is the greatest common divisor of 404765 and 6770? 5 What is the greatest common factor of 32231649 and 1427? 1427 What is the highest common factor of 525 and 350418075? 525 Calculate the greatest common divisor of 206641302 and 798. 798 What is the highest common factor of 105448 and 134456? 392 What is the greatest common factor of 13380 and 26476? 4 Calculate the highest common divisor of 225271 and 137803543. 4793 Calculate the greatest common factor of 826304 and 8104. 8 Calculate the highest common factor of 101019 and 363267. 669 What is the highest common factor of 389447184 and 4704? 336 What is the greatest common factor of 8184 and 1717896? 744 Calculate the highest common factor of 168 and 4853808. 24 Calculate the highest common factor of 13920 and 427580. 20 What is the greatest common divisor of 167493976 and 1352? 104 What is the highest common factor of 138 and 559601822? 46 Calculate the highest common divisor of 9292 and 823958. 202 What is the highest common factor of 3 and 264787? 1 What is the greatest common factor of 47571007 and 33? 11 Calculate the highest common factor of 334969496 and 5780. 1156 Calculate the highest common factor of 1026248 and 32267. 787 What is the highest common divisor of 45065306 and 5720? 286 What is the greatest common divisor of 219021112 and 11336? 872 Calculate the highest common factor of 1738293699 and 2637. 879 Calculate the greatest common divisor of 1113032 and 289448. 2984 Calculate the greatest common factor of 393310757 and 11417. 1631 What is the greatest common factor of 2524 and 521452721? 631 Calculate the highest common divisor of 10775102 and 20618. 338 What is the highest common factor of 27560 and 429180856? 5512 What is the highest common divisor of 688653 and 21063? 357 Calculate the greatest common factor of 116565263 and 281. 281 Calculate the highest common factor of 854 and 75318103. 427 Calculate the highest common divisor of 264 and 2088834. 66 Calculate the greatest common factor of 131370988 and 28. 28 Calculate the highest common factor of 68 and 901304674. 34 Calculate the highest common factor of 29973650 and 1050. 350 Calculate
{ "pile_set_name": "DM Mathematics" }
et s(t) = 2*t**2 + 183*t - 1390. Give s(7). -11 Let w(k) = 86*k + 708. What is w(-6)? 192 Let g(l) = -l**3 + 77*l**2 - 147*l - 217. What is g(75)? 8 Let l(i) = i**3 + 6*i**2 - 62*i + 7. What is l(-11)? 84 Let v(i) = -i**3 + 15*i**2 + 39*i - 116. Calculate v(-4). 32 Let g(h) = -h**3 + 110*h**2 - 206*h - 1074. What is g(108)? 6 Let m(z) = -766*z - 1206. Calculate m(-2). 326 Let o(c) = -18*c - 889. Give o(-57). 137 Let v(l) = l**3 - 12*l**2 - 192. Determine v(13). -23 Let r(a) = -a**2 + 51*a - 620. Give r(15). -80 Let a(k) = -25*k**2 - 3*k + 2. Give a(1). -26 Let z(s) = 19*s**3 - 15*s**2 + 61*s + 76. Determine z(-1). -19 Let v(l) = -4*l**2 + 150*l + 9. Determine v(41). -565 Let f(y) = y**3 + 29*y**2 - y + 45. Determine f(-29). 74 Let x(d) = -d**3 + 30*d**2 - 81*d - 32. Give x(27). -32 Let r(w) = 19*w**2 - 2*w - 32. Give r(4). 264 Let b(p) = 14*p**2 - 29*p + 13. Calculate b(0). 13 Let t(x) = x**3 - 4*x**2 + 6*x + 12. What is t(2)? 16 Let y(f) = 6*f - 671. Determine y(106). -35 Let p(l) = -3*l**2 + 33*l + 29. Determine p(15). -151 Let u(i) = -i**2 + 121*i - 581. Determine u(5). -1 Let f(j) = 184*j + 345. Determine f(-3). -207 Let x(r) = r**2 - 8*r - 58. What is x(13)? 7 Let r(h) = 91*h + 1174. What is r(-13)? -9 Let t(j) = 5*j**2 - 12*j - 395. What is t(-10)? 225 Let m(d) = -14*d - 45. Give m(-1). -31 Let f(j) = -4*j**2 + 575*j + 147. What is f(144)? 3 Let g(j) = j**2 + 50*j + 568. Calculate g(-22). -48 Let a(q) = q**3 - 6*q - 11. Determine a(6). 169 Let x(y) = 72*y - 352. Determine x(5). 8 Let w(j) = 640*j + 3834. What is w(-6)? -6 Let i(o) = -o**3 + 19*o**2 + 15*o - 380. Determine i(19). -95 Let j(r) = 5*r**2 - 229*r - 2480. Determine j(55). 50 Let o(y) = 8*y**2 + 202*y - 1. Determine o(-25). -51 Let o(r) = r**3 + 60*r**2 - 242*r - 48. Determine o(4). 8 Let z(t) = -2*t**2 + 80*t - 168. Give z(39). -90 Let l(m) = -m**3 - 5*m**2 + 6*m - 3. Calculate l(2). -19 Let m(a) = a**2 + 44*a - 323. Give m(-50). -23 Let k(d) = -6*d**2 + 32*d - 70. Give k(0). -70 Let p(r) = 2*r**3 + 594*r**2 - 26961*r - 339. Determine p(-337). -2 Let x(o) = -33*o - 122. What is x(-25)? 703 Let q(l) = l**2 + 6*l - 142. Determine q(7). -51 Let u(k) = -387*k + 5810. Give u(15). 5 Let j(q) = 4*q**3 - 10*q**2 - 3*q + 19. Give j(3). 28 Let i(m) = -98*m - 4414. Give i(-45). -4 Let k(d) = -484*d - 2432. Give k(-5). -12 Let m(u) = u**3 + 2*u**2 - 38*u - 95. Determine m(-3). 10 Let l(v) = v**3 + 2*v**2 - 23*v - 39. Determine l(-5). 1 Let t(o) = o**3 - 6*o**2 - 68*o - 66. Calculate t(12). -18 Let x(j) = -158*j - 782. Determine x(-5). 8 Let h(n) = -24512*n + 147077. Determine h(6). 5 Let j(o) = -40*o + 537. What is j(13)? 17 Let b(h) = -201*h + 31767. Determine b(158). 9 Let w(o) = -27*o + 166. Give w(7). -23 Let f(v) = 312*v + 3137. Give f(-10). 17 Let q(h) = h**2 - 103*h + 844. Determine q(94). -2 Let u(i) = i**3 + 7*i**2 - 27*i + 25. Determine u(5). 190 Let u(v) = 1262*v - 177940. Calculate u(141). 2 Let j(v) = v**3 - 23*v**2 - 257*v + 6287. What is j(21)? 8 Let l(m) = -38*m + 700. What is l(20)? -60 Let z(q) = q**2 + 45*q + 387. Calculate z(-12). -9 Let n(w) = -2*w**3 + 118*w**2 + 128*w - 437. Calculate n(60). 43 Let b(n) = -n**3 - 33*n**2 - 5*n - 162. Determine b(-33). 3 Let k(p) = p**2 - 54*p + 168. What is k(50)? -32 Let q(c) = 3*c**2 - 11*c + 48. Calculate q(7). 118 Let a(o) = -o**2 - 12*o + 4584. Determine a(62). -4 Let m(f) = -154*f - 2273. Give m(-15). 37 Let s(a) = 4*a**2 + 77*a + 71. What is s(-19)? 52 Let z(a) = -7*a**2 - 97*a + 28. What is z(-14)? 14 Let d(r) = 2*r - 34. What is d(26)? 18 Let r(u) = -45*u**3 + 3*u**2 - 4*u + 1. Determine r(1). -45 Let v(t) = -86*t + 5551. Give v(65). -39 Let j(s) = 43*s + 1860. Calculate j(-43). 11 Let p(i) = 3*i**2 - 49*i + 7. Determine p(9). -191 Let r(m) = 9*m**2 - 9*m. Give r(-1). 18 Let f(v) = 13*v - 26. Calculate f(2). 0 Let j(g) = 9*g**2 - 326*g + 71. Calculate j(36). -1 Let d(i) = 44*i - 562. Give d(11). -78 Let y(l) = -724*l - 2158. Calculate y(-3). 14 Let d(r) = -6*r**2 - 81*r - 51. Calculate d(-13). -12 Let h(n) = -7*n**2 - 2*n - 16. Give h(3). -85 Let b(m) = -m**3 + 33*m**2 - 215*m - 11. Calculate b(9). -2 Let j(k) = -9*k**2 + 80*k + 331. Calculate j(12). -5 Let x(v) = -v**2 - 34*v - 255. Calculate x(-22). 9 Let r(b) = 24833*b + 24836. Give r(-1). 3 Let n(x) = x**2 + 25*x + 29. Give n(-25). 29 Let n(k) = k**3 + 54*k**2 - 413*k + 850. Give n(-61). -4 Let f(x) = -8*x**2 + 161*x + 160. Determine f(-1). -9 Let p(z) = -418*z**2 + 6*z - 4. Calculate p(1). -416 Let c(y) = -y**2 + 57*y + 57. What is c(58)? -1 Let t(x) = 45*x - 2249. Calculate t(50). 1 Let c(g) = -g**2 + 456*g - 15117. What is c(36)? 3 Let k(n) = n**3 - 95*n**2 + 535*n - 7. Calculate k(6). -1 Let p(u) = -u**3 - 15*u**2 + 42*u + 938. Calculate p(-12). 2 Let u(b) = -b**2 + 13*b - 81. Determine u(8). -41 Let f(h) = -6*h**2 - 4099*h - 4099. Determine f(-1). -6 Let w(t) = -t**2 + 4*t + 9. What is w(-6)? -51 Let r(b) = 5*b**2 + 192*b - 2027. Determine r(-47). -6 Let d(w) = 11*w**2 - 2*w + 24. Give d(5). 289 Let s(l) = 79*l + 3234. Determine s(-41). -5 Let t(j) = -90*j - 51. Calculate t(-4). 309 Let r(t) = -213*t - 38338. Give r(-180). 2 Let u(z) = 260*z - 1348. What is u(5)? -48 Let d(i) = -61*i + 2251. What is d(37)? -6 Let t(h) = -81*h + 1222. Calculate t(15). 7 Let d(p) = -p**3 + 4*p**2 + 10*p - 40. Give d(6). -52 Let o(v) = 31*v + 387. Give o(-15). -78 Let x(n) = -39*n + 751. Determine x(0). 751 Let v(t) = t**2 - 282*t + 16026. Calculate v(79). -11 Let t(h) = 353*h - 1299. What is t(5)? 466 Let f(t) = 15*t - 123. What is f(8)? -3 Let j(z) = 49*z**3 - 147*z**2 - 6. Determine j(3). -6 Let l(j) = -j**2 - 17*j + 206. Give l(10). -64 Let z(c) = 2*c**3 + 32*c**2 + 65*c + 12. Determine z(-2). -6 Let m(s) = -602*s + 5284. Give m(9). -134 Let w(p) = p**2 - 10*p - 145. Calculate w(11). -134 Let w(l) = 38*l + 48. Give w(-9). -294 Let n(j) = -13*j**2 + 720*j + 425. Calculate n(56). -23 Let n(q) = 1035*q - 167663. What is n(162)? 7 Let o(v) = -247*v**2 - 3*v + 1. Give o(1). -249 Let j(d) = d**2 - 476*d + 9123. Determine j(20). 3 Let z(f) = 2*f**2 - 11*f + 20. Calculate z(3). 5 Let c(y) = 674*y - 6037. Give c(9). 29 Let r(q) = q**3 + 28*q**2 - 199*q - 6868. What is r(-25)? -18 Let h(k) = -117*k**3 - 1404*k**2 + 35*k + 416. What is h(-12)? -4 Let l(z) = 2*z**3 + 85*z**2 + 38*z - 117. What is l(-42)? 51 Let j(a) = 3*a**3 - 282*a**2 + 7*a - 297. What is j(94)? 361 Let l(i) = -2*i + 2. Determine l(1). 0 Let n(g) = -4*g**3 + 21*g**2 + 22*g - 15. Determine n(6). 9 Let g(w) = -w**2 - 42*w - 43. Determine g(-1). -2 Let o(g) = -91*g - 5937. Determine o(-65). -22 Let n(u) = -4*u + 30. Calculate n(5). 10 Let v(u) = 24*u**2 + 275*u - 6. What is v(-11)? -127 Let g(u) = -6*u**2 - 114*u - 849. Give g(-10). -309 Let o(v) = v**2 + 6*v - 36. Calculate o(-12). 36 Let f(y) = 73*y + 6199. Determine f(-85). -6 Let k(o) = -3*o**2 - 110*o + 41. What is k(0)? 41 Let u(b) = b - 13. Give u(46). 33 Let z(w) = -3*w**3 + 13*w**2 - w - 3. What is z(4)? 9 Let f(o) = 3*o**2 - 201*o - 1154. What is f(-6)? 160 Let v(u) = -u**3 + 25*u**2 + 83*u + 40. Calculate v(28). 12 Let j(y) = -22*y - 397. Calculate j(-29). 241 Let t(m) = -3*m**3 + 132*m**2 - 127*m - 108. Give t(43). -22 Let g(r) = r**2 - 24*r + 139. What is g(18)? 31 Let f(s) = 33*s + 309. Calculate f(-16). -219 Let x(u) = 111*u - 666. What is x(6)? 0 Let a(u) = u**2 - 23*u - 41. Calculate a(24). -17 Let g(b) = b**3 - 20*b + 63. Determine g(3). 30 Let u(a) = a**3 - 26*a**2 - 19*a + 501. Give u(26). 7 Let y(q) = -q**3 - 38*q**2 - 42*q - 166. Determine y(-37). 19 Let b(m) = 133*m + 3370. Give b(-27). -221 Let x(z) = -3*z**3 - 7*z**2 + 570*z + 18. Calculate x(-15). 18 Let x(r) = -r**3 + 92*r**2 + 381*r + 256. Give x(96). -32 Let k(h) = 3*h**2 + 40*h + 60. Calculate k(-15). 135 Let o(u) = -23*u**3 + u**2 + 5*u - 5. Determine o(1). -22 Let d(m) = -891*m + 2366. Give d(3). -307 Let i(v) = v**2 - 157*v - 1013. Determine i(163). -35 Let f(r) = 86*r - 408. Give f(5). 22 Let q(x) = 108*x - 8029. Give q(73). -145 Let w(p) = -p**3 + 20*p**2 + 21*p - 89. Determine w(21). -89 Let t(a) = -543*a - 23840. Calculate t(-44). 52 Let h(k) = -3*k**3 + 236*k**2 + 71*k + 636. Calculate h(79). 4 Let p(f) = 678*f - 2693. Determine p(4). 19 Let c(t) = -9*t + 59. What is c(5)? 14 Let b(d)
{ "pile_set_name": "DM Mathematics" }
2*a + 1) + 1 - 1 + a**2 in the form p*a + j*a**2 + n and give j. 53 Rearrange (-4 + 10 - 22)*(-3*y - y + 3*y)*(-4*y + 3*y + 2*y) to h + w*y**2 + d*y and give w. 16 Rearrange -32*p**2 + 7*p - 7*p + 11*p**2 to f*p + d + b*p**2 and give b. -21 Rearrange (-2*f + 2*f + f)*(3*f**2 - 5*f**2 + 6*f**2) + f**3 - 4*f**3 + 4*f**3 - 5*f - 2*f**3 + 5*f to the form w*f + u*f**2 + c*f**3 + l and give c. 3 Express (-2 - 2 + 3)*(0*o**3 + 3*o**3 - o**3)*(-5 + 4 + 4) as g*o**2 + p*o**3 + b + c*o and give g. 0 Express 10*i**3 + 11 - 4*i**2 + 4*i**2 - 9*i**3 - 2*i in the form k + p*i + w*i**3 + x*i**2 and give k. 11 Express 1 + 9*c - 1 + 1 - 2 - 2*c**3 in the form y + k*c**3 + l*c**2 + b*c and give k. -2 Express -29*q - 23*q - 11*q - q**2 - q**2 in the form k + l*q + b*q**2 and give b. -2 Rearrange -2*i**3 - 197 - 2*i**2 + 12*i**2 + 198 to the form h*i**2 + l + z*i + r*i**3 and give l. 1 Express (-2*h + 7*h - 3*h)*(1 - 3 + 0) - 1 + 1 - 2*h + 0*h + h - 2*h + h - 3 + 3 - h - 2*h + 2*h - 3*h + 3*h + 4*h + 8*h + 13*h - 3*h as x + p*h and give p. 15 Rearrange (5*a**2 - 4*a**2 + a**2)*(-113 - 29*a**2 + 30*a**2 + 12) to the form v*a**2 + m + r*a + b*a**3 + c*a**4 and give r. 0 Rearrange -4*t**3 - 2 + 2*t**3 + 4 + 2*t - 1 + t**4 to q + z*t**2 + c*t**4 + s*t + a*t**3 and give a. -2 Express 2*z + 2*z**3 - 4*z**3 + 0*z**3 + (-5*z**3 + 3*z**3 + 6*z**3)*(-1 - 1 - 1) - 4*z**3 + 4*z**3 + 9*z**3 in the form q + v*z**2 + s*z + p*z**3 and give p. -5 Rearrange (14*c - 6*c**3 - 14*c)*(3*c - 4*c + 3*c)*(2 + 0 + 0) to d*c**2 + b*c**4 + j*c**3 + s*c + w and give b. -24 Rearrange 17*p + 9*p - 3*p to the form x*p + t and give x. 23 Rearrange (4 - 4 + q**2)*(10 - 30 + 15) to w + b*q + m*q**2 and give m. -5 Rearrange (s + s + 0*s)*(-1 + s + 1)*(-8*s**2 - 2*s**2 + 0*s**2) to j*s**2 + m*s**4 + r*s + f*s**3 + u and give m. -20 Rearrange -8*s**2 - 2 - 2*s**3 + 2*s**4 + 4*s**2 + 3*s**2 + 2*s - 4*s to q + v*s**3 + h*s + c*s**4 + j*s**2 and give v. -2 Rearrange 2*d**2 + 0*d**2 + 0*d**2 + 2*d**3 - d**3 + 2 to the form c*d**3 + h*d**2 + j + t*d and give c. 1 Express (26*w - 11*w - 41*w)*((5 - 5*w - 5)*(-6 + 2 + 2) - 3*w + 0*w + w)*(4*w - 4*w - 2*w) as g*w**2 + c*w + a + n*w**3 and give n. 416 Rearrange -41*k + 41*k - 33*k**2 to h + v*k**2 + g*k and give h. 0 Rearrange (0 - 2 + 1)*(-u - 3*u + 3*u + (-2 + 3 + 1)*(0 + 0 - 3*u) + 3*u - 4*u + 3*u) to h*u + o and give o. 0 Rearrange (1 - 4 + 1)*(2*f + 2 - 2) + (5 - 4 + 0)*(0*f - f + 0*f) - 2*f + 2*f - 4*f + 0*f - f + 0*f to the form z*f + c and give z. -10 Rearrange (2 + 7 - 16)*(-3*r**3 + r - r + (-3*r**3 + 4*r**3 - 2*r**3)*(-2 + 5 - 1)) to w*r**3 + y*r**2 + m*r + h and give w. 35 Rearrange 0*m + 371 + 30*m - 371 to r*m + a and give a. 0 Express ((-3*m**2 + m**2 + m**2)*(3 + 2 - 7) + 0*m**2 + m**2 + 5*m**2)*(-5*m - m + 0*m) in the form r*m**3 + z*m**2 + t*m + b and give r. -48 Rearrange (3*j + 3 - 3)*(j + 5*j - j)*(5 + 2 - 5)*(0 - 1 - 2) to the form i*j**2 + u*j + o and give u. 0 Rearrange -244*q - 259*q + 483*q to z + i*q and give i. -20 Rearrange 2*x + 4 - 4 + (1 - 2 + 3)*(-5*x + 2*x + x) + (-5*x + 3*x - 2*x)*((-2 - 2 + 2)*(5 - 2 - 1) - 3 + 5 - 3) to m*x + y and give m. 18 Rearrange (5 - 7 - 1)*(-2*g + g + 1 + 2*g) to the form b + p*g and give p. -3 Express -117*f**2 + 23 - 8 - 15 as u + s*f + m*f**2 and give m. -117 Rearrange (-d - 4*d + 4*d + 1)*(71*d**2 + 3*d - 3*d) to the form a*d + m*d**2 + u + l*d**3 and give m. 71 Express -w + 0*w + 3*w + (-w + 0*w - w)*(45 + 14 + 47) as j + b*w and give b. -210 Rearrange (-s - 4 - s + 4*s)*(16 + 33 - 13)*(-2*s - s + s) to the form w*s + y + g*s**2 and give w. 288 Express -2 + 71*h**2 - 61*h**2 + 2 in the form f + t*h + z*h**2 and give z. 10 Rearrange -o + 385*o**2 - 406*o**2 + 4*o to the form m*o + q + h*o**2 and give m. 3 Rearrange (-59*h + 8*h**2 + 61*h + 252*h**2)*(-4*h**2 + 2*h**2 + h**2) to c + r*h**2 + z*h**4 + t*h**3 + g*h and give t. -2 Express -2 + 3*n**3 - 19*n**4 - 20*n**4 + 41*n**4 in the form d*n**2 + x*n**4 + o + j*n**3 + w*n and give x. 2 Express 3*o + 6*o - 9*o + 54*o**2 in the form a*o + b*o**2 + t and give b. 54 Rearrange (-3*k - 2*k + k)*(-2 - 4 + 3) + 3*k + 2 - 2 to the form s + n*k and give s. 0 Express (-1 + 1 + o)*(761*o - 1 - 754*o + 1) in the form g*o + b*o**2 + y and give b. 7 Express -15*g - 17*g + 37*g - 15*g - 2*g**2 - 4*g**3 as v*g**3 + h*g**2 + f*g + u and give f. -10 Express (4 - 4 - 7)*(-1 + 1 - 2*x + (-10 + 5*x + 10)*(2 + 3 - 4))*(4 - 2 - 3) as l*x + a and give l. 21 Express -390 + 390 - 8*p**2 in the form o + n*p + w*p**2 and give w. -8 Express -4*n**2 + 3*n**2 - 6 - 22 as v + s*n + q*n**2 and give q. -1 Express (1 - 2*n - 1)*(224*n**2 - 29*n**2 + 28*n**2) as q + v*n**3 + d*n**2 + x*n and give v. -446 Express 7*n**2 - 11*n**2 - 8*n**2 - 9*n**2 as j*n**2 + y*n + c and give j. -21 Rearrange -2*w**2 - w**3 + 2*w**2 + (-w - 3*w + 2*w)*(-17 + 13 - 13)*(5 - 5 + 2*w**2) to the form u*w + j*w**2 + r*w**3 + o and give r. 67 Rearrange (-7 + 2 + 14*m + 7)*(-m**3 + 4*m**3 - 2*m**3) to the form t + c*m**4 + f*m**2 + y*m + i*m**3 and give i. 2 Rearrange 47 - 47 + 57*h to the form o*h + j and give o. 57 Rearrange -1 + 1 - 2*g - 13*g - 42 + 42 + 4 - 4 - 3*g + 2*g + 2 - 2 + (1 - 2 + 0)*(-2*g - 4*g + 4*g) - 2 + 2 + g - g + 2*g - 2*g to the form i + l*g and give l. -14 Express -v**3 - v + v + (3*v**3 - v**3 - 5*v**3)*(-3 + 1 + 4) + 10*v - 10*v - 5*v**3 in the form i + x*v**2 + r*v + m*v**3 and give m. -12 Express -2*o**3 + 5*o + 0*o**3 + 4*o - 2*o**3 in the form p*o**2 + m*o**3 + z + w*o and give m. -4 Rearrange 35 - 35 - 21*s to m*s + y and give m. -21 Express 12*r**2 - 4*r**3 - 19*r**2 + 6*r**2 + 5*r + 2*r**3 in the form m + d*r**3 + t*r**2 + b*r and give b. 5 Express -2 + 8*p - 2*p**4 - 2 - 3*p**3 - 9*p + 7 in the form k*p**4 + l*p**2 + b + x*p**3 + v*p and give x. -3 Express 6*t + 1760*t**2 - t**3 - 2*t**3 - 1760*t**2 in the form q*t + c*t**3 + j*t**2 + r and give q. 6 Express 7*n + 2*n**2 - n**2 + n**2 - 10*n**2 as c + k*n + h*n**2 and give h. -8 Express 14*g**2 - 2*g**3 + 9*g - 14*g**2 + (-2*g - g + 5*g)*(-2*g**2 + 1 - 1) - 2*g**3 - g**2 + g**2 as p*g**3 + t*g + w + i*g**2 and give t. 9 Rearrange -11*v + 31 - 31 to t*v + r and give t. -11 Rearrange -107 + 214 - 13*q**2 - 106 to the form g*q**2 + u + i*q and give g. -13 Rearrange (3 - 1 - 3)*(-r + r - r**2) + r - 4*r**2 - r + (-2*r + r + 2*r)*(r + 1 - 1) to s*r + d*r**2 + i and give d. -2 Express (2*i + i - i)*(-2 + 2 - 4*i)*(7 + 8 - 5) in the form j*i**2 + u*i + m and give j. -80 Rearrange 7*h**3 + 1 - 7*h**3 - 2*h**3 + 15*h**2 to l*h**3 + j + y*h**2 + i*h and give l. -2 Express -26*x**4 - 4*x**3 - x - x**2 - 25*x**4 + 47*x**4 + 2*x**3 as g*x + v*x**4 + j + y*x**3 + p*x**2 and give g. -1 Rearrange (0*p**2 + 3*p**2 - 12*p**2)*(6*p**2 + 5*p - 5*p) to z*p**2 + w + s*p + k*p**4 + m*p**3 and give k. -54 Rearrange -11 + 125*g - 2 - 245*g + 119*g to y + d*g and give d. -1 Express (4 + 0 - 2)*(-1 + 11 - 2)*(0*c + 3*c - 4*c) as p + r*c and give r. -16 Express -2 + 2 + 1 - 3*k**3 + k**3 in the form l*k + p + q*k**2 + b*k**3 and give b. -2 Express (c**2 + 0 + 0)*(-c - 3*c + 2*c) - 19*c**2 + 19*c**2 - 26*c**3 as f*c**2 + g*c + l + s*c**3 and give s. -28 Express (3*y**2 + y**2 - 2*y**2)*(-2*y**2 - 4*y**2 + 4*y**2) - 18*y**4 + 35*y**4 - 10*y**4 in the form r + v*y**4 + l*y**3 + k*y + c*y**2 and give v. 3 Rearrange -95*l**2 + l + 93*l**2 - l - 2 - 12*l**3 - 2*l**4 to the form v*l + h*l**3 + n*l**2 + k*l**4 + y and give h. -12 Rearrange (k - k + k**3)*(-1 - 5 + 4)*(-3*k + 4*k + 0*k) to w*k**4 + r*k + q*k**2 + p + v*k**3 and give w. -2 Rearrange (6*k + 5 - 4*k - 3)*(-8*k**2 + 2 - 2) to a*k**2 + y*k**3 + f*k + b and give y. -16 Express -52*j - 6*j + 9*j - 10*j as l*j + d and give l. -59 Express (-n**4 - 3*n**3 + 10*n**4 - 5*n**4)*(12 - 1 + 2) as h*n**3 + y*n**4 + b*n + x + l*n**2 and give h. -39 Rearrange -h**3 + 3*h**3 - 5*h**3 + (2 - h - 2)*(3*h**2 - 3*h**2 + 3*h**2) to the form x*h**3 + z*h**2 + l + c*h and give x. -6 Express (-2 + 4 - 4)*(1 - 5 + 2)*(124 - 124 - 16*k) in the form d*k + n and give d. -64 Rearrange 2*g + g - g + g**4 + (-2 + 3*g**2 + 2)*(3 - 3 + g**2) + 4*g**4 + 3*g**4 - 5*g**4 to f + b*g + t*g**3 + r*g**2 + m*g**4 and give b. 2 Rearrange -29*g + 62*g + 44*g + 13*g to the form p + w*g and give w. 90 Express v + v**4 + v + 1 + 3 - 5 a
{ "pile_set_name": "DM Mathematics" }
2 Collect the terms in -222*z**2 + 106*z**2 + 109*z**2. -7*z**2 Collect the terms in 57*p**3 - 24*p**3 + p**2 - p**2. 33*p**3 Collect the terms in 58*o**3 + 2*o - o + 0*o**3. 58*o**3 + o Collect the terms in -76 - h + 6*h + 76. 5*h Collect the terms in 12*m**2 + 3*m**3 - 5*m**3 - 11*m**2 + 12*m**2. -2*m**3 + 13*m**2 Collect the terms in -75*v + 154*v + v**3 - 79*v. v**3 Collect the terms in -31*u - 3*u**3 - 37*u + 102*u - 34*u. -3*u**3 Collect the terms in 36*o**3 - 64*o**3 + 23*o**3. -5*o**3 Collect the terms in -38*o**2 + 120*o**2 + 41*o**2. 123*o**2 Collect the terms in 3 + 0*p - 14 + p. p - 11 Collect the terms in -199*b - 49*b**2 - 127*b**2 + 199*b. -176*b**2 Collect the terms in 885 - 2*t + 4*t - 1772 + 887. 2*t Collect the terms in -15*a**3 + 1 + 0 - 1. -15*a**3 Collect the terms in -57*z**2 + 134*z**2 - 66*z**2. 11*z**2 Collect the terms in 2*i**3 + 63*i**2 - 35*i**2 - 28*i**2. 2*i**3 Collect the terms in -715 + 715 - 25*s. -25*s Collect the terms in 2*w**3 + 26 - 5*w**3 + 2*w**3. -w**3 + 26 Collect the terms in -45*y + 12*y + 16*y + 20*y. 3*y Collect the terms in 7*m**3 + 0*m**2 + 21*m**2 + 10*m**3. 17*m**3 + 21*m**2 Collect the terms in 4*i + 8*i + 3 - 2*i. 10*i + 3 Collect the terms in 73*g - 43*g - 48*g. -18*g Collect the terms in 6*v**3 - v**3 - 2*v**3 + 9*v**3. 12*v**3 Collect the terms in 229 + 3*s - 229. 3*s Collect the terms in -19*i**2 - 3 + 3 + 10*i**2. -9*i**2 Collect the terms in -4*w + 4*w - 1644*w**3. -1644*w**3 Collect the terms in 53*c**2 - 50*c**2 - 28*c + 12*c. 3*c**2 - 16*c Collect the terms in o**3 - 521*o**2 + 521*o**2. o**3 Collect the terms in -9*w**3 - 17*w**3 - 16*w**3 + 54*w**3 - 22*w**3. -10*w**3 Collect the terms in 6*z - 14*z + 12*z. 4*z Collect the terms in 6*b + 2*b + 3*b. 11*b Collect the terms in -38*p**2 + 5*p**2 + 0 + 0. -33*p**2 Collect the terms in -1622 + c + 1622. c Collect the terms in -124*t**2 + 44*t**2 + 41*t**2 + 41*t**2. 2*t**2 Collect the terms in 1483*m**3 + 1479*m**3 - 2961*m**3 - 3*m + 3*m. m**3 Collect the terms in 27*x + 0*x + x. 28*x Collect the terms in -8307*w + 24928*w - w**2 - 8317*w - 8304*w. -w**2 Collect the terms in 1 - 351*k**3 - 204*k**3 - 1. -555*k**3 Collect the terms in 631 - 631 - 3*m**3 + 2*m**3 - 58*m. -m**3 - 58*m Collect the terms in -562*o**2 + 2*o**3 + 562*o**2. 2*o**3 Collect the terms in -567 + 567 - u + 8*u. 7*u Collect the terms in -g**2 - 6*g**2 - 2*g**2 - 2*g**2. -11*g**2 Collect the terms in -7 - 216*j**2 + 14*j**3 + 7 + 216*j**2. 14*j**3 Collect the terms in -3*f + 2*f - 37 + 0*f. -f - 37 Collect the terms in -10*a**3 - a**2 + a**2 + 12*a**3. 2*a**3 Collect the terms in -12*k**2 + 17*k**2 + 27*k**2 - k**2. 31*k**2 Collect the terms in 15*x - 26*x - 24 + 12*x. x - 24 Collect the terms in -71*g - 141*g + 211*g. -g Collect the terms in -40*a + 103*a - 48*a. 15*a Collect the terms in 119*c**2 + 25*c**2 + 166*c**2. 310*c**2 Collect the terms in 6*r - 9*r - 6*r. -9*r Collect the terms in 647*o**2 - o**3 - 1313*o**2 + 666*o**2. -o**3 Collect the terms in 0 + 0 + 2579*q. 2579*q Collect the terms in -7*n - 6*n + 24*n**2 + 3*n. 24*n**2 - 10*n Collect the terms in 528*o - 267*o - 256*o. 5*o Collect the terms in 51*p**2 + 9*p**2 + 28*p**2. 88*p**2 Collect the terms in -42*v - 52*v - 3 + 26*v. -68*v - 3 Collect the terms in -71*u**3 - 1 + 1 + 26*u**3. -45*u**3 Collect the terms in 459*b - 462*b + 2 + 0 + 1. -3*b + 3 Collect the terms in 22*l**2 + 21*l**3 - 14*l**2 - 8*l**2. 21*l**3 Collect the terms in -418*a**2 + 203*a**2 + 204*a**2. -11*a**2 Collect the terms in -j - j**3 + 0*j**3 + 4*j**3. 3*j**3 - j Collect the terms in 43 + 44 - 87 + 2*p - 3*p. -p Collect the terms in 272*u - 2*u**2 + 273*u + 0*u**2 - 545*u. -2*u**2 Collect the terms in -338*y + 338*y + 15*y**2. 15*y**2 Collect the terms in -2*k**3 + 2*k**3 + 3*k**3. 3*k**3 Collect the terms in -2 + 28*s**2 - 14*s**2 + 15*s**2. 29*s**2 - 2 Collect the terms in -8*o - 36*o + 4*o - 6*o. -46*o Collect the terms in -70*r + 86*r**2 + 70*r - 82*r**2. 4*r**2 Collect the terms in 3*l - 1046*l**2 + 1045*l**2 + l - 4*l. -l**2 Collect the terms in -13*c**2 + 54*c**2 - 16*c**2 - 9*c**2 - 17*c**2. -c**2 Collect the terms in 0*p + 0*p - 12*p**3 + 13*p**3. p**3 Collect the terms in -4*a + 1596 - 1596. -4*a Collect the terms in -13*g**3 - 12*g**2 + 12*g**2. -13*g**3 Collect the terms in -12*l**2 + 6*l**2 + l**2 + 4*l**2. -l**2 Collect the terms in 6*w**2 + 3*w**2 + 8*w**2. 17*w**2 Collect the terms in 1033 + x - 1033. x Collect the terms in -10*j**2 + 3*j**2 + 11*j**2. 4*j**2 Collect the terms in 20*k**3 + 9*k**3 - 2*k**3. 27*k**3 Collect the terms in l - 44*l**3 - l - 92*l**3. -136*l**3 Collect the terms in -2*p + 0*p + 4*p - 5. 2*p - 5 Collect the terms in 7*b**3 + 114 - 114 - 8*b**3. -b**3 Collect the terms in 10*s - 2*s + s**2 - 2 - 8*s. s**2 - 2 Collect the terms in -14*w**3 - 10*w**3 + 23*w**3. -w**3 Collect the terms in -3*f + 5*f - 3*f + 5*f. 4*f Collect the terms in 3 - 3 - 4*g + 6*g. 2*g Collect the terms in -b**3 - 128*b - 4*b**3 + 6*b**3. b**3 - 128*b Collect the terms in -25*x**3 - 60*x**3 + 14*x**3. -71*x**3 Collect the terms in -5*r**3 + 3*r**3 - 2*r**3 - 3*r**3. -7*r**3 Collect the terms in 30*p - 60*p + 33*p. 3*p Collect the terms in -3*r**3 - r**3 + 15*r**2 - 3*r**2. -4*r**3 + 12*r**2 Collect the terms in -21193*a + 42397*a - 21206*a. -2*a Collect the terms in -775*y**3 - 736*y**3 + 1509*y**3. -2*y**3 Collect the terms in -4*t**2 + 6*t**2 + 11*t**2. 13*t**2 Collect the terms in 49*d**3 - 9*d**3 - 5*d**3. 35*d**3 Collect the terms in 5*k**2 + 9 - 3*k**2 - 3*k**2. -k**2 + 9 Collect the terms in 131621*l**2 + 2 - 2 - 131620*l**2. l**2 Collect the terms in 12 - k + 21 - 8 + 2. -k + 27 Collect the terms in -42 + 82 - 40 + 5*p. 5*p Collect the terms in 4*b**3 + 13*b**3 + 4*b**3 - 4*b**3. 17*b**3 Collect the terms in 18 + 1 - 19 - 5*a**3. -5*a**3 Collect the terms in 4*m**2 - 18*m**2 + 6*m**2 + 10*m**2. 2*m**2 Collect the terms in -94*q + 119*q - 28*q. -3*q Collect the terms in -17*b**2 + 56*b - 56*b. -17*b**2 Collect the terms in 1567*j**2 - 785*j**2 - 784*j**2. -2*j**2 Collect the terms in 119*x**3 + 112*x**3 - 234*x**3. -3*x**3 Collect the terms in -94*g**2 + 2*g**3 - 4959 + 94*g**2 + 4959. 2*g**3 Collect the terms in -t + 6 - 3*t + 1. -4*t + 7 Collect the terms in -17*q**2 + 4 + 5 - 9. -17*q**2 Collect the terms in -35*h**3 + h**2 + h**2 - 2*h**2. -35*h**3 Collect the terms in -u**3 - 51*u**2 + 2*u**3 - 4*u**3 + 51*u**2. -3*u**3 Collect the terms in 5*i**3 + 4*i**3 + 0*i**3 - i**3. 8*i**3 Collect the terms in -10*m + 15*m + m + 32*m. 38*m Collect the terms in 18*o - 43*o + 17*o. -8*o Collect the terms in -116*t - 46*t + 2 + 0. -162*t + 2 Collect the terms in -6*y - 6*y - 2*y - y + 21*y. 6*y Collect the terms in 2*k**3 - 294 + 294 - 6*k**3. -4*k**3 Collect the terms in 0 - 3 - 2*p + 3. -2*p Collect the terms in 3*g + 3*g - 10*g + g. -3*g Collect the terms in 1487 + a**3 - 1487 + a**3. 2*a**3 Collect the terms in -84*s + 0 + 0. -84*s Collect the terms in 4*a**2 - 4*a**2 + 6*a**2 + a**2. 7*a**2 Collect the terms in 990*i + 22*i**2 - 990*i - 32*i**2. -10*i**2 Collect the terms in 4*c - 198 + 198 - 3*c. c Collect the terms in 0*t - 10*t - 6*t - 11*t. -27*t Collect the terms in 14*l - 15*l**2 - 14*l. -15*l**2 Collect the terms in 29*j - 45*j + 20*j. 4*j Collect the terms in 575*v**2 + 3*v**3 - v**3 - 575*v**2. 2*v**3 Collect the terms in 20 - 20 - 389*h**3. -389*h**3 Collect the terms in -337*n + 163*n + 167*n. -7*n Collect the terms in 19*y**3 - 22*y**3 + 12*y**3. 9*y**3 Collect the terms in 2*c**3 - 58*c + 44*c + 14*c. 2*c**3 Collect the terms in -2*m**3 - 10*m**3 + 19*m**3 + 16*m**3. 23*m**3 Collect the terms in -330520 + j + 330520. j Collect the terms in 2*c**2 + 102*c - 209*c + 107*c. 2*c**2 Collect the terms in 2*g - 1479*g**2 - 2*g. -1479*g**2 Collect the terms in 22 - 14 - h - 8 + 0. -h Collect the terms in -135*n**3 + 1 - 1. -135*n**3 Collect the terms in 8*r**2 - 15*r**2 - 44 + 8*r**2. r**2 - 44 Collect the terms in -6*z - 13*z + 5*z + 10*z. -4*z Collect the terms in -9*q**2 - 7*q**2 + 6*q**2. -10*q**2 Collect the terms in 2*c**3 - 19749*c**2 - 1 + 19749*c**2 + 1. 2*c**3 Collect the terms in 4*m + 2*m - 47*m. -41*m Collect the terms in 2173*q - 44*q - 439*q. 1690*q Collect the terms in 152 - 15*i**2 - 152
{ "pile_set_name": "DM Mathematics" }
(a) -3 (b) r (c) 1/7 a Let n = 23.5 + -4.5. Let z = n + -19.44. Let y = z + 0.04. Which is the second biggest value? (a) 2/9 (b) y (c) 4 a Let d = 10 - 6. Let i = d - 2. Let h = 2.3 - i. What is the third smallest value in -4, 0.4, h? 0.4 Let t = -0.14 - -0.04. Suppose -5*k = -s - 9, 3*k + 0*k - 2*s - 4 = 0. Let w = k - 1. Which is the third biggest value? (a) -5 (b) t (c) w a Let k be 4/(-14) - 4/(-14). Let m = -52.8 - -53. Which is the third smallest value? (a) k (b) 1 (c) m b Let g = 2 - -1. Suppose g = -6*y + 9*y. What is the third biggest value in -0.1, y, -1? -1 Let a be (-2)/((-4)/6) + -2. Let n = a + -1. Let f = 7 + -34/5. What is the biggest value in n, 3/4, f? 3/4 Let t(q) = -q**2 - 3*q - 2. Suppose 2*x + 15 = -3*x. Let d be t(x). Let w = -5.5 - -5. Which is the second smallest value? (a) d (b) w (c) 1 b Let x = 5.99 - 7.99. Let s = -3.03 + 0.03. Which is the third smallest value? (a) s (b) x (c) 0.06 c Let j(f) = -f**2 - 10*f - 15. Let r be j(-7). Which is the third biggest value? (a) -1/6 (b) r (c) -5 c Let w = 4 + -9. Which is the second biggest value? (a) w (b) -0.5 (c) 5 b Suppose -5*j - 6 = 5*r + 4, -j - 7 = -4*r. What is the third smallest value in 0.1, r, 2/5? r Let n be (-8)/10*8/32. Which is the third biggest value? (a) -5 (b) 1/11 (c) n a Suppose -4*t + 12 = -5*u, 4*u - 1 + 16 = 5*t. Let g = -5 - -7. Which is the second smallest value? (a) 4 (b) u (c) g c Let n be ((-4)/8*2)/2. What is the third biggest value in 0.5, -0.2, n? n Let y = -0.06 + -0.94. What is the second biggest value in y, 4, 6/7? 6/7 Let y = -2 - -3.5. Let m = 0.2 + -1.2. Let i = y + m. Which is the biggest value? (a) i (b) 0.3 (c) 3 c Let f(h) = 5*h + 7. Let n be f(-5). Let q be (2/(-9))/(12/n). Let a = 1.6 - -0.4. What is the third biggest value in a, 1/2, q? q Suppose -1 = 6*v + 29. Which is the second biggest value? (a) 2/3 (b) v (c) 2/11 c Let w = -1.4 + 1.2. Which is the second smallest value? (a) w (b) 7 (c) -6/7 a Let l = 3 - 3.4. Let w = -11 - -7. Which is the third biggest value? (a) w (b) -1 (c) l a Let q = 55 + -53. What is the second biggest value in -1, q, 2/9? 2/9 Let j = 31/40 + -3/8. Let p = -6.04 + 0.04. Let y = p - -1. What is the biggest value in -2, j, y? j Let t be (-1 - -2 - 3)/((-30)/(-9)). Let r = 2 - -3. Which is the second smallest value? (a) r (b) 0 (c) t b Let a = 0.03 - 0.02. Let d = 0.39 + a. What is the third biggest value in -0.4, 3, d? -0.4 Let w = -1 - 11. Let h be (-27)/w + -3 + 1. What is the second biggest value in -5, 5, h? h Let u = -14 + 19. Which is the third biggest value? (a) u (b) 2 (c) -0.3 c Let z be 6/(-2) - (-18 + 10). Suppose -3*l - 2*l = z. Which is the third biggest value? (a) l (b) -2/19 (c) -0.2 a Let y be (14 + -15)*(-1)/(-2). Let w(z) = z**3 - 6*z**2 + 4*z + 3. Let g be w(5). Which is the second smallest value? (a) y (b) 2/15 (c) g a Let g = 1.1 - -3.9. Let w = g + -4.6. Suppose -2*x - 4 = -4*u, 3*u - x + 4 = 4*u. Which is the second smallest value? (a) u (b) 4 (c) w a Let k(p) = -98 + 7 - 46 - p. Let f be k(0). Let s = -551/4 - f. Which is the biggest value? (a) -4 (b) 2 (c) s b Let m = 4.22 - 9.19. Let n = -0.03 + m. What is the smallest value in -2, n, -1/6? n Let w = -0.04 - -3.04. Let p = -3.4 + 3. Which is the smallest value? (a) w (b) 1/4 (c) p c Let r = 2.3 - 4.3. Which is the third smallest value? (a) r (b) 1 (c) -2/5 b Let t be -2 + -1*2/(-5). Let l = -2 - t. Which is the second smallest value? (a) l (b) 3 (c) 5 b Suppose -f + 12 = 2*f. Let q be (3/(-14))/(2/f). What is the biggest value in 0.5, q, 4? 4 Suppose -24 - 28 = -4*x. Suppose -z = -5*j + 10, -2*z + 0 = j - x. Which is the third biggest value? (a) -1/2 (b) 4 (c) z a Let w = -4 - 0. Let x be w/(-14) - 144/308. What is the second biggest value in -0.2, 3, x? x Let u = -0.5 + -1.5. Let y = 15 + -193/13. What is the third biggest value in u, -0.3, y? u Let u be (-8)/(-14)*14/4. Suppose -2*m = 3*o - 5*o, -4*o = u*m - 12. Let r = -0.8 - 0.2. Which is the second smallest value? (a) o (b) 1/3 (c) r b Let o = -87 - -87.4. Let g = -9 - -6. What is the second biggest value in -5, o, g? g Suppose 4*v + 1 = -15. Let g = -2.01 + 0.01. What is the biggest value in g, v, 2? 2 Let b be 1*(36/(-21))/(-6). Let g = 10 - 14. What is the third biggest value in b, g, 3/7? g Let j = 6 + -3. Suppose s + 2*s - l = -8, l = 4*s + 11. What is the biggest value in j, s, 0.4? j Let q = 11 + -10. What is the second smallest value in -1/4, -1, q? -1/4 Let x(b) = b + 1. Let z be x(-1). Suppose -2*n = -4*j - 12, z = -j - 2 - 0. Let o = -0.7 + -0.3. What is the second smallest value in n, -0.2, o? -0.2 Let f = 12.4 + -16.4. Let u = -1 + 0. Which is the biggest value? (a) u (b) 0.02 (c) f b Suppose 4*t - 4*x = t + 27, -2*t = -4*x - 22. Let s = -11 + 8. Which is the smallest value? (a) -1/5 (b) t (c) s c Suppose -8 = -4*c - 4. Let g be (c/10)/(1 + 0). What is the second biggest value in -1, g, -1/6? -1/6 Let p = -3.38 + 6.49. Let u = -0.11 + p. Let n = 1.9 + -2. Which is the second smallest value? (a) n (b) u (c) -0.4 a Let n be (-6 - 3/6) + (-2)/4. What is the third biggest value in 4, 5, n? n Let t = -0.9 + -4.1. Let f = -0.12 - -5.12. What is the biggest value in t, 1/10, f? f Let h be (-2)/(5 - (-162)/(-32)). Which is the third smallest value? (a) h (b) -5 (c) 2/7 a Let q = -0.52 - -1.02. Which is the fourth biggest value? (a) 0.2 (b) q (c) -2 (d) 0 c Let h = -103/3 + 35. Let f be (2/5)/(26/10). Which is the second smallest value? (a) f (b) h (c) -2/11 a Let i be ((-3)/9)/((-14)/(-12)). Let s = 26 + -51/2. Which is the second biggest value? (a) i (b) 0.2 (c) s b Let l(j) = 5*j. Let r be l(1). Suppose 4*g - r = f, 2*g = -4*f - 0 + 16. Let n = 4 - f. Which is the second biggest value? (a) n (b) -0.5 (c) 4 a Let b = 73/30 - 17/6. What is the smallest value in 0, 2/17, b? b Let n be (-24)/(-18)*(-1)/(-2)*-6. Which is the third smallest value? (a) 0.2 (b) n (c) 0 (d) 1 a Let j = -2.8 + 3. Let g = -211 + 211.5. What is the second biggest value in j, g, 1/3? 1/3 Let h = 5 + -12. Let f be -3 + (91/(-4))/h. What is the biggest value in f, -4, 0.4? 0.4 Suppose 4*k = -3*u - 8, 15 = -u - 4*u - 5*k. Which is the second biggest value? (a) -0.7 (b) u (c) 4 a Let q = 4.3 + -0.3. Which is the third biggest value? (a) q (b) -0.06 (c) 2 b Suppose 2*x + 4 = -z, -5*x - 6 = 3*z + 2. Which is the second smallest value? (a) z (b) 2/7 (c) 2/17 b Let w = 0.24 - -1.76. Which is the second smallest value? (a) 4 (b) w (c) 9 a Let a = -6.7 - -7. Let h = 0.05 - 0.07. Let l = -0.12 - h. What is the second smallest value in a, l, 0? 0 Let j be ((4 - 5)/(-7))/(18/(-21)). What is the smallest value in 5, j, 7, -4? -4 Let j = -2/351 - 37/351. Let i = -0.049 - -1.049. What is the second smallest value in i, -5, j? j Let v = -3 + 2.8. Which is the smallest value? (a) 0.2 (b) 0.9 (c) v c Let a = 9 + -8. Suppose 0*b + 3*b = -2*g - 3, -2*g - b = a. What is the smallest value in g, -3, -1/5? -3 Let y = 14 + -7. Let k = -1.92 + -0.08. Which is the second biggest value? (a) 1 (b) k (c) y a Let x be (-14)/(-98)*352/6. Let q be 2/(-12)*4*13. Let f = q + x. Which is the second biggest value? (a) 0.4 (b) -0.3 (c) f c Let o = 3.99 + 0.01. Let j = o + -6. Let l = -68.2 - -68. Which is the second biggest value? (a) l (b) 2/13 (c) j a Let k be 154/(-42) + -1 + 5. Which is the smallest value? (a) -0.5 (b) -2 (c) 1 (d) k b Let l be 2*-1 - 3/(-9)*1. What is the third biggest value in l, -1/4, 0.5, 1? -1/4 Let t = 5.5 - 3. Let m = -2 + t. Which is the third biggest value? (a) 3 (b) -1/3 (c) m b Let s = -1.07 + -3.93. Let q = 4 + -4.5. What is the third biggest value in s, -0.1, q? s Let c = -35 + 35.2. What is the second smallest value in -1/3, 2, -1/5, c? -1/5 Let r = -1 - -1/2. Let p = 13/2 - 6. Which is the second biggest value? (a) r (b) p (c) -3 a Let v be 4/(-2) + -77 + 3. Let o be 4/(v/(-59)) - 3. What is the third smallest value in 4/7, -1/2, o? 4/7 Suppose n + c = 1, 2*n + 2*c - 17 = -3*c. Let j = 0.11 - -6.89. Let k = 5 - j. What is the second biggest value in 1/2, n, k? k Let s be (-764)/(-28) - (-4)/(-14). Suppose 5*d - 2*d - s = 0. Which is the second biggest value?
{ "pile_set_name": "DM Mathematics" }
. What is the least common multiple of v and x? 72 What is the least common multiple of 2/(-4) + (-42)/(-4) and ((-3016)/78 + 38)*(-114)/1? 380 Let o be (5/(-10))/(2/(-316)). Let i = o - 58. Suppose 4*h + i = 41. Calculate the smallest common multiple of h and 40. 40 Let o = 195848 - 76772305/392. What is the common denominator of o and -65/4? 392 Let y(i) = i + 7. Let o be y(11). What is the lowest common multiple of 36 and o/(-3)*(9 - 11)? 36 Let h = 52 + -49. Calculate the smallest common multiple of h/18 + (-282)/(-36) and 18. 72 Let n(j) = -89*j - 146. Let c be 1/4 - (-26)/(-8). Calculate the lowest common multiple of n(c) and 110. 1210 Let c = -5710 - -302578/53. Calculate the common denominator of c and -6/61. 3233 Let m = 192938315/372 + -518651. What is the common denominator of m and -53/6? 372 What is the smallest common multiple of 9 and (-62590)/(-50) - (-3)/60*-16? 1251 Let i be (-11080)/(-84) + 4/42. Let l = -128 + i. Calculate the smallest common multiple of l and 108. 108 Let t(h) = h**3 - 10*h**2 - 300*h + 35. Suppose 6*w - 3*w - 180 = 0. What is the smallest common multiple of t(-13) and w? 240 Let j be 46/(-115) - (-3)/(-5). Find the common denominator of -17/24 and 51/(-17) - j/((-4)/(-134)). 24 Let z = 4669 + -74621/16. What is the common denominator of z and 29/1182? 9456 Let g = -32951 + 24219037/735. Calculate the common denominator of g and 71/285. 13965 Let z be (-24)/9*(-9)/2. Let u = 24 - z. Suppose 0 = -20*h + 268 - 228. Calculate the lowest common multiple of h and u. 12 Let s(g) = -401*g**3 - g**2 + 2*g - 1. Let b be s(1). Let j = 9063/44 - 2186/11. Find the common denominator of j and (-4)/(-14) - b/(-154). 44 Let y = -14462 + 75853189/5245. Let w = 325121/361905 - y. Find the common denominator of w and 34. 69 Let y be 4 - (68 - (11 - 3)). Calculate the common denominator of y/(-392) + (-433)/(-252) and 163/60. 180 Let a be 5/(-3) - 4/(-6) - 5. What is the least common multiple of 6 and (981/a)/(12/(-16))? 654 Let s = 266/1847 - 64691/949358. Calculate the common denominator of -133/18 and s. 4626 Let i(p) be the first derivative of 3/2*p**2 - 1/3*p**3 + 8*p - 13. Calculate the least common multiple of 11 and i(0). 88 Let h = -1844775/1276 + 5783/4. Let y = h + 11003/1595. Calculate the common denominator of y and 9/230. 230 Suppose -7*n + 25*n = 18. Let h be 12/(-8)*n*-2. Suppose -1 = 3*t + h*c - 4, 0 = -c - 4. Find the common denominator of -59/60 and t. 60 Let h(l) = -2*l + 16. Let x be h(-8). What is the common denominator of (-2 + 1)*152/x and (-165)/(-21) - 3/2? 28 What is the smallest common multiple of 105 and (-705)/(-45) + -15 - 475/(-3)? 5565 Let x = 1387 + -931. What is the smallest common multiple of x and 78? 5928 Let h = -2229 + 2243. Let b = 13 - 25. Let z = 20 + b. Calculate the least common multiple of h and z. 56 Suppose 2*z - 1260 = 17*j - 22*j, -5*j = -4*z + 2490. Let o = 665 - z. What is the lowest common multiple of 110 and o? 440 Suppose -3*u + 3259590 = 3*u. Let c be 8/(-2)*u/145. Let n = -14985 - c. What is the common denominator of -7/6 and n? 174 Let g be 6*1/(-4)*28/(-21). Calculate the common denominator of 81/8 and 10946/10608 + g/(-6). 136 Suppose 1818 = 23*c - 14*c. Let y = 1/90 + -3607/630. Calculate the common denominator of (6 - (-38)/(-6))/(8/c) and y. 84 Let x = -1251 + 1299. Calculate the lowest common multiple of x and 339. 5424 Suppose -20*g = -10*g + 20. Let x be (11121/55 - 1/5)/g. Let r = x - -105. What is the least common multiple of 10 and r? 20 Let t(v) = -35*v - 153. Let m be t(5). Calculate the common denominator of 26/15 and (m/80 - 3)/5. 150 Let i = -52248 - -52254. Suppose -74 = -z + y + 62, z - 140 = 2*y. What is the least common multiple of i and z? 132 Let u(s) = -2*s**3 + 77*s**2 - 104*s + 1541. Calculate the least common multiple of 15 and u(37). 1800 What is the smallest common multiple of 80/(-24)*(-4 - (-11)/5) + 8 and 408? 2856 Let k = -262/9 - -14122/495. Calculate the common denominator of 5/187 and k. 935 Suppose -615 + 2695 = 10*p. Calculate the lowest common multiple of 308/26 - (-4)/26 and p. 624 Let f = -625/2 + 298. Let r = -7 + 9. Find the common denominator of f and 535/84 - r/7. 12 Find the common denominator of -123/20 and (-18260)/3486*(-6)/(-944)*-2. 8260 Find the common denominator of (5/(3105/52))/2 and 107/552. 4968 Let c = 9704 - 368775/38. Let w be (-6)/63*(-7)/12. Let b = w + 37/9. Find the common denominator of c and b. 114 Suppose -928 = 167*m - 2264. What is the least common multiple of m and 496? 496 Let x = 22 - -2. Let b = 7161 - 7137. What is the smallest common multiple of x and b? 24 Let b = -138744/11 + 12610. Let s be (-42)/(-10) + 2/(-10). Calculate the common denominator of s + -5 + (-59)/6 and b. 66 Let q = -1728 + 1750. What is the lowest common multiple of q and 490? 5390 Calculate the lowest common multiple of 96 and 9 - ((-6)/(-18))/(9/(-1377)). 480 What is the smallest common multiple of (-1)/(-6*(-20)/(-11400)) and 107? 10165 Find the common denominator of 137/(-10) - 11/(242/(-110)) and (-1)/(-1) + (-6248)/5696. 3560 Suppose -17*q + 939 + 438 = 0. Suppose 78 = 4*g - 2*h, -2*h - h + q = 5*g. Let b(t) = -t**3 + 5*t**2 + t - 5. What is the least common multiple of g and b(4)? 90 Let r = -4887/8 + 610. Find the common denominator of r and 70/42*-3 + 51/8. 8 Let r = -9212 + 9308. Calculate the lowest common multiple of r and 1392. 2784 Calculate the least common multiple of 14*((-64)/6)/(406/(-87)) and 368. 736 Suppose k = 3*t - 8324, -2*t = 305*k - 307*k - 5560. What is the least common multiple of 693 and t? 2772 Suppose -5*k = -18 - 2. Suppose o - g - 6 - 4 = 0, 0 = -3*o - k*g + 44. Calculate the lowest common multiple of o and 42. 84 Let r = 1215771/795410 - -1/11363. What is the common denominator of r and 113/2960? 20720 Let u(f) = f + 21. Suppose 2*c = x - 4*x - 7, -4*c - 16 = 4*x. Calculate the smallest common multiple of u(6) and x. 27 Let h be (-12)/(-4)*(-4 + 109 - 3). Let i = h - 3059/10. Calculate the common denominator of i and 67/36. 180 Suppose 3*o = 5*d + 370, o = -d + 143 - 25. Calculate the least common multiple of 528 and o. 2640 Let i = -331115515/15428 - -535/6612. Let y = 21458 + i. Calculate the common denominator of y and 1/93. 651 Let d(n) be the third derivative of -n**6/120 - 19*n**5/60 - n**4/24 - 13*n**3/6 - 119*n**2. Calculate the smallest common multiple of d(-19) and 141. 282 Let o(c) = -c**3 - 22*c**2 - 14*c + 94. Let l be o(-20). Let n = l - -452. What is the smallest common multiple of 9 and n? 234 Find the common denominator of 2 + 234/22 + -15 and -1/307. 3377 Suppose -10*w = 10*w - 80. Suppose -y + w = -0*y, 2*y = -3*j + 338. What is the lowest common multiple of 10 and j? 110 Let m = 428413/20 - 21422. Let d = -195731/18 + 10868. Calculate the common denominator of d and m. 180 Suppose 4659 = p + 2*u - 1143, -u = 3. What is the lowest common multiple of 1056 and p? 11616 Let t(c) be the second derivative of c**5/20 + 17*c**4/12 - 5*c**3/6 + 6*c**2 + 74*c + 1. What is the least common multiple of t(-6) and 20? 4380 Suppose -801 + 2199 = 3*w. What is the lowest common multiple of 24 and w? 5592 Let s(v) = -v**3 - 9*v**2 + 2*v + 15. Let k be s(-4). Let p = -83 - k. What is the smallest common multiple of 9 and ((-84)/p)/(13/65)? 126 Let s = 4924/9 - 1664/3. Calculate the common denominator of -37/156 and s. 468 Let l be 4 + (2 + -2)/7. Let f = -2/98051 - -8138357/6079162. Calculate the common denominator of l - (-8)/((-336)/(-119)) and f. 186 Let m be (408/77)/(6/126*6). Let q = m - 32878/1793. Find the common denominator of q and -7/8. 1304 Let j = -142314/5 - -28699. Let q = -247 + j. Calculate the common denominator of 1/(-2*9/267) and q. 30 Let h = -21903 - -22017. Suppose g + 3*g = f + 68, 5*g + 4*f = 106. What is the smallest common multiple of g and h? 342 Let j = 1/150253 - -4807351/111938485. Find the common denominator of -26/25 and j. 3725 Suppose -2*p + 23 + 1 = 0. Suppose -4*q - 24 = -p. What is the common denominator of (94*(-1)/(-2))/(q - 1) and -89/36? 36 Let d = 5705359/527592 - 11619/988. Let w = 36/89 + d. What is the common denominator of 1/174 and w? 696 Let d(s) be the third derivative of -11*s**4/24 + 230*s**3/3 + 120*s**2 - 2. What is the smallest co
{ "pile_set_name": "DM Mathematics" }
r: 1, n: 2, u: 1}? 1/5 Two letters picked without replacement from {g: 3, n: 1, h: 2, f: 1, k: 1, l: 3}. Give prob of picking 1 n and 1 g. 3/55 What is prob of picking 1 w and 1 i when two letters picked without replacement from wimmcnmmnw? 2/45 Calculate prob of picking 4 a when four letters picked without replacement from vaaddadadaa. 1/22 What is prob of picking 2 w when two letters picked without replacement from {j: 1, v: 1, b: 1, w: 1, s: 1}? 0 Two letters picked without replacement from uzuxxxxzuuxzuzzzzz. What is prob of picking 2 x? 10/153 Two letters picked without replacement from immiiiiii. What is prob of picking 2 m? 1/36 What is prob of picking 2 n, 1 o, and 1 b when four letters picked without replacement from {o: 1, b: 4, f: 2, m: 3, n: 2}? 4/495 Four letters picked without replacement from yzzzzyzzzyzzzy. Give prob of picking 4 y. 1/1001 Two letters picked without replacement from oopppoxoouupogou. Give prob of picking 2 o. 7/40 What is prob of picking 2 u when two letters picked without replacement from uuuguuug? 15/28 Four letters picked without replacement from {l: 10, k: 7, x: 1}. What is prob of picking 3 k and 1 l? 35/306 Four letters picked without replacement from nlnapnnnaannnlnp. What is prob of picking 2 a, 1 p, and 1 n? 27/910 What is prob of picking 4 z when four letters picked without replacement from {z: 7}? 1 What is prob of picking 1 s and 1 m when two letters picked without replacement from sesmbevj? 1/14 Three letters picked without replacement from {s: 3, t: 11}. What is prob of picking 1 t and 2 s? 33/364 Three letters picked without replacement from {z: 2, o: 1, l: 5, n: 1}. What is prob of picking 2 o and 1 l? 0 Three letters picked without replacement from {p: 4, r: 5, q: 1}. What is prob of picking 1 q and 2 p? 1/20 Four letters picked without replacement from {z: 10}. Give prob of picking 4 z. 1 What is prob of picking 2 m when two letters picked without replacement from iaaaakbiabamaiabiba? 0 Four letters picked without replacement from {i: 5}. Give prob of picking 4 i. 1 What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqqqqqwqq? 11/15 Three letters picked without replacement from gnwwwwwjwntng. What is prob of picking 1 g, 1 j, and 1 n? 3/143 Four letters picked without replacement from jrbqjreeqqrxxe. What is prob of picking 2 e and 2 j? 3/1001 Four letters picked without replacement from {x: 6, y: 12}. Give prob of picking 4 x. 1/204 Two letters picked without replacement from {n: 1, x: 1, o: 2, w: 1}. Give prob of picking 1 w and 1 n. 1/10 What is prob of picking 2 e and 2 c when four letters picked without replacement from cccecececceccc? 270/1001 Two letters picked without replacement from eefpppppepspepfemp. What is prob of picking 1 f and 1 p? 2/17 Calculate prob of picking 4 j when four letters picked without replacement from jjjffjjffj. 1/14 What is prob of picking 1 p and 1 f when two letters picked without replacement from {p: 2, f: 7}? 7/18 What is prob of picking 2 k when two letters picked without replacement from {f: 3, c: 1, z: 2, k: 2, b: 3, l: 1}? 1/66 What is prob of picking 2 l when two letters picked without replacement from liiiililiii? 3/55 Two letters picked without replacement from {o: 10, n: 4}. What is prob of picking 2 n? 6/91 Calculate prob of picking 1 h and 2 z when three letters picked without replacement from hzhzzhhzhhhzz. 105/286 What is prob of picking 1 m and 1 l when two letters picked without replacement from {d: 3, m: 1, l: 5, p: 1}? 1/9 Calculate prob of picking 1 k and 2 p when three letters picked without replacement from {u: 1, p: 4, k: 8}. 24/143 Three letters picked without replacement from ukuuutkh. Give prob of picking 1 t, 1 u, and 1 h. 1/14 Two letters picked without replacement from {d: 2, u: 1, z: 2, b: 4}. Give prob of picking 1 u and 1 z. 1/18 What is prob of picking 3 m when three letters picked without replacement from {y: 2, m: 9}? 28/55 Two letters picked without replacement from {m: 12, w: 1, x: 3}. What is prob of picking 1 w and 1 x? 1/40 Calculate prob of picking 3 q when three letters picked without replacement from qxxqggqxx. 1/84 Two letters picked without replacement from {e: 2, n: 4, l: 3}. What is prob of picking 2 e? 1/36 Three letters picked without replacement from ykhhkyky. What is prob of picking 3 y? 1/56 Four letters picked without replacement from lonomonmzznzznno. What is prob of picking 3 o and 1 l? 1/455 What is prob of picking 1 m and 1 j when two letters picked without replacement from {j: 1, l: 1, v: 2, f: 1, c: 2, m: 1}? 1/28 Three letters picked without replacement from {s: 6, o: 4, d: 1}. What is prob of picking 2 d and 1 o? 0 Three letters picked without replacement from {n: 6, s: 5, g: 4}. What is prob of picking 2 s and 1 g? 8/91 What is prob of picking 2 g and 1 d when three letters picked without replacement from sgdttvgttottootvt? 1/680 Three letters picked without replacement from zczwwmcm. Give prob of picking 2 z and 1 m. 1/28 Four letters picked without replacement from {j: 2, z: 9, p: 7}. Give prob of picking 2 j and 2 p. 7/1020 Four letters picked without replacement from yylttybbbtltbbt. What is prob of picking 3 t and 1 b? 10/273 Calculate prob of picking 2 e and 2 g when four letters picked without replacement from {p: 2, e: 8, g: 5, f: 1}. 2/13 Calculate prob of picking 1 h, 1 u, 1 i, and 1 c when four letters picked without replacement from huiiimchcuhzuuhuuu. 14/255 Four letters picked without replacement from {y: 2, s: 3, n: 3}. Give prob of picking 3 n and 1 s. 3/70 What is prob of picking 1 j, 1 q, and 1 u when three letters picked without replacement from jjdqqjqjjqjddqudd? 3/68 Four letters picked without replacement from ntttntntntp. What is prob of picking 4 t? 1/22 What is prob of picking 1 y and 2 s when three letters picked without replacement from {y: 3, s: 2}? 3/10 Calculate prob of picking 1 g and 3 q when four letters picked without replacement from {v: 1, d: 2, g: 1, q: 3}. 1/35 What is prob of picking 3 r when three letters picked without replacement from {b: 2, r: 17}? 40/57 Three letters picked without replacement from waayywywwaa. Give prob of picking 1 w and 2 a. 8/55 Calculate prob of picking 3 r and 1 d when four letters picked without replacement from {r: 5, d: 5}. 5/21 What is prob of picking 2 u and 1 e when three letters picked without replacement from uyyyueuyy? 1/28 Three letters picked without replacement from {h: 5, l: 11}. What is prob of picking 3 l? 33/112 Two letters picked without replacement from ttdoqtttx. What is prob of picking 1 t and 1 o? 5/36 Calculate prob of picking 2 c when two letters picked without replacement from scsqqsqssscssq. 1/91 Four letters picked without replacement from mmmmmmmmemmm. What is prob of picking 4 m? 2/3 What is prob of picking 2 c and 2 q when four letters picked without replacement from {r: 1, q: 5, a: 1, c: 4, h: 1}? 4/33 Three letters picked without replacement from {h: 5, x: 15}. Give prob of picking 2 x and 1 h. 35/76 Two letters picked without replacement from {l: 4, c: 2, z: 1, q: 1}. Give prob of picking 2 c. 1/28 Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {p: 3, t: 1, j: 1, l: 1, e: 1}. 1/7 Calculate prob of picking 2 i and 1 w when three letters picked without replacement from {w: 7, i: 5}. 7/22 What is prob of picking 2 x, 1 s, and 1 n when four letters picked without replacement from {n: 8, x: 5, s: 4}? 16/119 Calculate prob of picking 2 e and 1 v when three letters picked without replacement from vveeieeevev. 4/11 Two letters picked without replacement from {y: 7, d: 1, p: 4, i: 8}. What is prob of picking 1 p and 1 d? 2/95 Three letters picked without replacement from wwwtqwtmqqqwtwmmmtm. Give prob of picking 1 q and 2 m. 40/969 What is prob of picking 2 l when two letters picked without replacement from dvlmblldl? 1/6 What is prob of picking 1 y and 1 h when two letters picked without replacement from pyhubbuy? 1/14 Three letters picked without replacement from xwxwwwxwxwxxwi. What is prob of picking 1 x and 2 w? 9/26 Calculate prob of picking 2 c when two letters picked without replacement from {u: 6, c: 4, i: 1, t: 2}. 1/13 Wha
{ "pile_set_name": "DM Mathematics" }
tors of 238816146? 2, 3, 233, 170827 List the prime factors of 2039897076. 2, 3, 7, 19, 1278131 List the prime factors of 549756509. 29, 47, 149, 2707 What are the prime factors of 21094928? 2, 173, 7621 List the prime factors of 169683111. 3, 13, 1450283 What are the prime factors of 139363126? 2, 7, 113, 88093 List the prime factors of 191628883. 37, 5179159 What are the prime factors of 400455858? 2, 3, 11, 257, 23609 What are the prime factors of 929136416? 2, 13, 2233501 What are the prime factors of 244671363? 3, 223, 121909 What are the prime factors of 81026404? 2, 4057, 4993 What are the prime factors of 48190184? 2, 7, 131, 6569 What are the prime factors of 633738156? 2, 3, 52811513 List the prime factors of 991930104. 2, 3, 11, 417479 List the prime factors of 793984784. 2, 61, 761, 1069 List the prime factors of 87072974. 2, 43536487 List the prime factors of 12732314. 2, 7, 909451 What are the prime factors of 21611045? 5, 4322209 What are the prime factors of 579040020? 2, 3, 5, 13, 353, 701 What are the prime factors of 490612635? 3, 5, 389, 28027 What are the prime factors of 185797308? 2, 3, 2389, 6481 List the prime factors of 143977461. 3, 5531, 8677 What are the prime factors of 169183057? 169183057 What are the prime factors of 313564628? 2, 13, 31, 1151 What are the prime factors of 6178769? 17, 29, 83, 151 What are the prime factors of 45494743? 7, 101, 229, 281 What are the prime factors of 541212018? 2, 3, 43, 277, 7573 List the prime factors of 642883089. 3, 601, 356563 List the prime factors of 34052765. 5, 23, 37, 53, 151 What are the prime factors of 70978044? 2, 3, 613, 9649 What are the prime factors of 502757977? 491, 1023947 What are the prime factors of 185274537? 3, 7, 180053 What are the prime factors of 115875216? 2, 3, 804689 List the prime factors of 764103116. 2, 7, 27289397 List the prime factors of 171056197. 13, 13158169 What are the prime factors of 4685795? 5, 17, 55127 What are the prime factors of 124328713? 29, 4287197 List the prime factors of 2782309173. 3, 7, 132490913 What are the prime factors of 51028917? 3, 17, 43, 23269 List the prime factors of 35238550. 2, 5, 704771 List the prime factors of 120159019. 120159019 List the prime factors of 1396050663. 3, 7, 37, 647, 2777 What are the prime factors of 152845048? 2, 41, 43, 10837 List the prime factors of 185498850. 2, 3, 5, 1236659 List the prime factors of 41756629. 233, 179213 List the prime factors of 1368610667. 1368610667 What are the prime factors of 4282170093? 3, 41, 43, 269879 What are the prime factors of 32447290? 2, 5, 3244729 List the prime factors of 427540977. 3, 15834851 List the prime factors of 557417173. 37, 1381, 10909 What are the prime factors of 1384258600? 2, 5, 71, 1373 List the prime factors of 64215385. 5, 13, 987929 List the prime factors of 3185886103. 6637, 480019 List the prime factors of 1500166860. 2, 3, 5, 1031, 24251 What are the prime factors of 22624049? 7, 263, 12289 What are the prime factors of 101190489? 3, 33730163 What are the prime factors of 2825352723? 3, 17, 3258769 What are the prime factors of 3936013432? 2, 13, 4801, 7883 List the prime factors of 160433939. 109, 139, 10589 List the prime factors of 49005863. 887, 55249 What are the prime factors of 18812293? 149, 126257 List the prime factors of 8358557. 373, 22409 List the prime factors of 217104053. 67, 3240359 List the prime factors of 973098112. 2, 7, 1086047 What are the prime factors of 205951507? 19, 31, 349663 List the prime factors of 213416963. 17, 619, 1193 List the prime factors of 2117707915. 5, 1489, 284447 What are the prime factors of 40627587? 3, 7, 11, 13, 83, 163 What are the prime factors of 3116547796? 2, 59, 13205711 List the prime factors of 66243252. 2, 3, 5520271 What are the prime factors of 38462998? 2, 7, 2747357 What are the prime factors of 2218236909? 3, 7, 19, 23, 4933 List the prime factors of 82464552. 2, 3, 17, 89, 757 List the prime factors of 2497630084. 2, 283, 2206387 What are the prime factors of 430601105? 5, 11, 7829111 What are the prime factors of 55536522? 2, 3, 193, 199, 241 List the prime factors of 51035102. 2, 19, 1343029 List the prime factors of 148691814. 2, 3, 151, 337, 487 List the prime factors of 135087356. 2, 4201, 8039 What are the prime factors of 1774377135? 3, 5, 47, 838949 What are the prime factors of 660791697? 3, 220263899 List the prime factors of 248339301. 3, 7, 37, 45659 List the prime factors of 5507332. 2, 29, 197, 241 List the prime factors of 882415447. 17, 23, 61, 36997 What are the prime factors of 197373554? 2, 7, 14098111 What are the prime factors of 1331903764? 2, 29, 11481929 List the prime factors of 486568654. 2, 11, 13, 1701289 List the prime factors of 141481099. 141481099 List the prime factors of 69070303. 17, 4062959 List the prime factors of 212755901. 17, 19, 109, 6043 What are the prime factors of 83679205? 5, 16735841 What are the prime factors of 302250603? 3, 79, 1275319 List the prime factors of 192221085. 3, 5, 7, 1830677 What are the prime factors of 288064741? 31, 9292411 What are the prime factors of 3943566672? 2, 3, 82157639 List the prime factors of 57306109. 7, 19, 430873 List the prime factors of 152774271. 3, 13, 67, 19489 What are the prime factors of 426487187? 7, 353, 172597 List the prime factors of 92778823. 191, 485753 What are the prime factors of 303808297? 13, 113, 206813 List the prime factors of 879421106. 2, 37, 971, 12239 What are the prime factors of 41926190? 2, 5, 41, 102259 What are the prime factors of 1389348810? 2, 3, 5, 23, 61, 11003 What are the prime factors of 32253182? 2, 13, 17, 43, 1697 What are the prime factors of 5946278349? 3, 11, 29, 43, 229, 631 List the prime factors of 108483170. 2, 5, 509, 21313 What are the prime factors of 17173451? 17, 1010203 List the prime factors of 1160968. 2, 145121 List the prime factors of 308159. 17, 18127 List the prime factors of 91061006. 2, 45530503 What are the prime factors of 156874633? 156874633 List the prime factors of 45009512. 2, 5626189 List the prime factors of 101278720. 2, 5, 131, 151 What are the prime factors of 203957956? 2, 397, 128437 List the prime factors of 928032882. 2, 3, 7, 22096021 What are the prime factors of 72918639? 3, 521, 15551 What are the prime factors of 80904877? 1109, 72953 List the prime factors of 5289474. 2, 3, 47, 18757 What are the prime factors of 621166958? 2, 199, 821, 1901 What are the prime factors of 411236696? 2, 13, 3954199 What are the prime factors of 286854541? 2113, 135757 List the prime factors of 51431333. 673, 76421 List the prime factors of 262248602. 2, 7, 11, 19, 89627 What are the prime factors of 287344250? 2, 5, 103, 11159 What are the prime factors of 3006713723? 13, 4621, 50051 What are the prime factors of 727393667? 7, 11, 13, 47, 15461 What are the prime factors of 626251879? 11, 71, 801859 What are the prime factors of 27886375? 5, 11, 17, 1193 List the prime factors of 8177193264. 2, 3, 59, 89, 32443 List the prime factors of 2356828555. 5, 379, 1243709 What are the prime factors of 3510116871? 3, 17, 23, 1187, 2521 What are the prime factors of 23653188? 2, 3, 13, 17, 991 What are the prime factors of 3807471701? 11, 16097, 21503 List the prime factors of 112213629. 3, 11, 73, 15527 List the prime factors of 29527956. 2, 3, 101, 2707 What are the prime factors of 7051085726? 2, 1193, 2955191 List the prime factors of 434677685. 5, 13, 983, 6803 List the prime factors of 670436141. 41, 599, 27299 What are the prime factors of 331853099? 331853099 List the prime factors of 445846790. 2, 5, 43, 1036853 List the prime factors of 3156906199. 47, 113, 12647 List the prime factors of 314292846. 2, 3, 7, 67, 1667 What are the prime factors of 6482233246? 2, 17, 190653919 What are the prime factors of 1139865424? 2, 71241589 List the prime factors of 87874749. 3, 3083, 3167 What are the prime factors of 364707891? 3, 40523099 List the prime factors of 30683672. 2, 997, 3847 List the prime factors of 3165701439. 3, 23, 45879731 What are the prime factors of 9997824? 2, 3, 23, 283 List the prime factors of 238683740. 2, 5, 17, 702011 List the prime factors of 78056721. 3, 8672969 List the prime factors of 6
{ "pile_set_name": "DM Mathematics" }
h term of -4, -11, -18, -25? -7*b + 3 What is the v'th term of -107, -270, -433, -596, -759, -922? -163*v + 56 What is the q'th term of -94, -187, -280, -373? -93*q - 1 What is the p'th term of -2079, -4158, -6233, -8304, -10371? 2*p**2 - 2085*p + 4 What is the g'th term of 4, 35, 124, 301, 596? 5*g**3 - g**2 - g + 1 What is the y'th term of -3592, -3603, -3628, -3673, -3744, -3847, -3988? -y**3 - y**2 - y - 3589 What is the f'th term of 119, 136, 167, 218, 295, 404, 551, 742? f**3 + f**2 + 7*f + 110 What is the f'th term of -116, -114, -112? 2*f - 118 What is the t'th term of -60, -59, -48, -21, 28, 105, 216? t**3 - t**2 - 3*t - 57 What is the s'th term of 85, 69, 27, -53, -183, -375, -641? -2*s**3 - s**2 + s + 87 What is the r'th term of 2, 11, 26, 47, 74, 107? 3*r**2 - 1 What is the d'th term of -75, -113, -161, -225, -311, -425, -573, -761? -d**3 + d**2 - 34*d - 41 What is the s'th term of -295, -300, -309, -322, -339, -360? -2*s**2 + s - 294 What is the r'th term of 6, -33, -154, -399, -810, -1429, -2298, -3459? -7*r**3 + r**2 + 7*r + 5 What is the g'th term of -1936, -1938, -1940, -1942, -1944? -2*g - 1934 What is the l'th term of 24, 8, -8, -24, -40? -16*l + 40 What is the x'th term of 5294, 5287, 5278, 5267, 5254, 5239, 5222? -x**2 - 4*x + 5299 What is the z'th term of -99, -381, -849, -1503, -2343, -3369, -4581? -93*z**2 - 3*z - 3 What is the g'th term of -10, -18, -40, -82, -150, -250, -388, -570? -g**3 - g**2 + 2*g - 10 What is the t'th term of -143, -183, -225, -269, -315? -t**2 - 37*t - 105 What is the j'th term of 43, 17, -25, -89, -181, -307, -473? -j**3 - 2*j**2 - 13*j + 59 What is the f'th term of 913, 914, 915, 916, 917, 918? f + 912 What is the j'th term of -105, -370, -803, -1398, -2149, -3050, -4095, -5278? j**3 - 90*j**2 - 2*j - 14 What is the a'th term of 1649, 1661, 1687, 1733, 1805, 1909? a**3 + a**2 + 2*a + 1645 What is the k'th term of 135, 149, 159, 165, 167, 165? -2*k**2 + 20*k + 117 What is the k'th term of -161, -183, -205, -227? -22*k - 139 What is the j'th term of 432, 431, 430, 429, 428, 427? -j + 433 What is the r'th term of 370, 741, 1112, 1483? 371*r - 1 What is the f'th term of -180, -189, -196, -201? f**2 - 12*f - 169 What is the p'th term of -172, -151, -128, -103? p**2 + 18*p - 191 What is the n'th term of -23, -57, -115, -197, -303, -433, -587? -12*n**2 + 2*n - 13 What is the s'th term of 45, 51, 71, 111, 177, 275, 411? s**3 + s**2 - 4*s + 47 What is the f'th term of -156, -587, -1312, -2337, -3668, -5311, -7272, -9557? -f**3 - 141*f**2 - f - 13 What is the n'th term of -28, -4, 30, 68, 104, 132, 146, 140? -n**3 + 11*n**2 - 2*n - 36 What is the m'th term of 252, 246, 240, 234, 228, 222? -6*m + 258 What is the g'th term of 202, 196, 184, 166, 142? -3*g**2 + 3*g + 202 What is the x'th term of -22, -93, -218, -403, -654, -977, -1378? -x**3 - 21*x**2 - x + 1 What is the r'th term of -2162, -2169, -2176, -2183, -2190? -7*r - 2155 What is the w'th term of 15, 97, 311, 723, 1399, 2405, 3807, 5671? 11*w**3 + 5*w - 1 What is the k'th term of -13954, -27910, -41866, -55822? -13956*k + 2 What is the k'th term of 72, 143, 214, 285, 356, 427? 71*k + 1 What is the u'th term of 41, 154, 339, 596, 925? 36*u**2 + 5*u What is the p'th term of 237, 985, 2221, 3939, 6133, 8797, 11925, 15511? -p**3 + 250*p**2 + 5*p - 17 What is the z'th term of -6604, -6603, -6602, -6601? z - 6605 What is the x'th term of 90, 182, 276, 372, 470, 570? x**2 + 89*x What is the q'th term of 1983, 1980, 1977? -3*q + 1986 What is the a'th term of 17, -6, -67, -172, -327, -538? -a**3 - 13*a**2 + 23*a + 8 What is the u'th term of -10, -48, -122, -250, -450? -3*u**3 - 17*u + 10 What is the g'th term of 460, 894, 1328, 1762, 2196, 2630? 434*g + 26 What is the n'th term of -29, -111, -233, -389, -573, -779, -1001, -1233? n**3 - 26*n**2 - 11*n + 7 What is the q'th term of 46, 103, 196, 325, 490, 691, 928? 18*q**2 + 3*q + 25 What is the z'th term of -21, -17, -13, -9, -5? 4*z - 25 What is the l'th term of 145, 180, 245, 346, 489? l**3 + 9*l**2 + l + 134 What is the f'th term of 1039, 2082, 3125, 4168, 5211? 1043*f - 4 What is the g'th term of 66, 271, 604, 1059, 1630, 2311, 3096, 3979? -g**3 + 70*g**2 + 2*g - 5 What is the y'th term of -2, -14, -30, -50, -74? -2*y**2 - 6*y + 6 What is the v'th term of 173, 187, 217, 269, 349, 463, 617? v**3 + 2*v**2 + v + 169 What is the x'th term of -104, -105, -106? -x - 103 What is the y'th term of -174, -159, -144, -129, -114, -99? 15*y - 189 What is the z'th term of -25, -121, -289, -535, -865, -1285, -1801, -2419? -z**3 - 30*z**2 + z + 5 What is the j'th term of -707, -729, -751, -773, -795? -22*j - 685 What is the m'th term of 43, 64, 83, 100, 115, 128, 139? -m**2 + 24*m + 20 What is the u'th term of -416, -400, -384, -368, -352? 16*u - 432 What is the x'th term of 49, 87, 145, 217, 297, 379? -x**3 + 16*x**2 - 3*x + 37 What is the t'th term of -52, -229, -524, -937, -1468, -2117? -59*t**2 + 7 What is the p'th term of 3, 5, 9, 15, 23, 33? p**2 - p + 3 What is the d'th term of 120, 121, 130, 153, 196, 265, 366, 505? d**3 - 2*d**2 + 121 What is the z'th term of -215, -414, -611, -806? z**2 - 202*z - 14 What is the o'th term of -595, -1187, -1779, -2371, -2963, -3555? -592*o - 3 What is the t'th term of 1024, 993, 964, 937, 912? t**2 - 34*t + 1057 What is the t'th term of -81, -155, -229? -74*t - 7 What is the k'th term of 2255, 4503, 6747, 8987, 11223? -2*k**2 + 2254*k + 3 What is the y'th term of -55, -41, -11, 41, 121, 235? y**3 + 2*y**2 + y - 59 What is the k'th term of 232, 466, 700? 234*k - 2 What is the t'th term of 17, 21, 25, 29, 33? 4*t + 13 What is the o'th term of -47, -96, -145, -194? -49*o + 2 What is the i'th term of 2582, 2583, 2584, 2585? i + 2581 What is the w'th term of 158, 171, 184, 197? 13*w + 145 What is the t'th term of -28, -25, -20, -13, -4, 7, 20? t**2 - 29 What is the a'th term of -737, -1471, -2205, -2939? -734*a - 3 What is the s'th term of -2039, -2041, -2043? -2*s - 2037 What is the t'th term of 0, -5, -14, -27? -2*t**2 + t + 1 What is the z'th term of 60, 76, 102, 144, 208, 300, 426? z**3 - z**2 + 12*z + 48 What is the q'th term of -208, -178, -146, -112, -76? q**2 + 27*q - 236 What is the o'th term of 618, 610, 602, 594? -8*o + 626 What is the n'th term of 17, 26, 29, 20, -7? -n**3 + 3*n**2 + 7*n + 8 What is the i'th term of -5634, -5638, -5656, -5694, -5758, -5854? -i**3 - i**2 + 6*i - 5638 What is the h'th term of 10, -2, -14, -26, -38, -50? -12*h + 22 What is the s'th term of -67, -65, -63, -61, -59, -57? 2*s - 69 What is the u'th term of -93, -105, -131, -177, -249, -353? -u**3 - u**2 - 2*u - 89 What is the j'th term of 2, 16, 28, 32, 22, -8, -64, -152? -j**3 + 5*j**2 + 6*j - 8 What is the t'th term of 215, 214, 203, 176, 127? -t**3 + t**2 + 3*t + 212 What is the f'th term of -654, -651, -646, -639, -630, -619, -606? f**2 - 655 What is the x'th term of -102, -119, -154, -213, -302, -427, -594? -x**3 - 3*x**2 - x - 97 What is the f'th term of -6457, -6460, -6463, -6466, -6469? -3*f - 6454 What is the u'th term of 1731, 1728, 1725? -3*u + 1734 What is the x'th term of -10, -32, -74, -142, -242, -380, -562? -x**3 - 4*x**2 - 3*x - 2 What is the v'th term of 8548, 8553, 8560, 8569, 8580, 8593, 8608? v**2 + 2*v + 8545 What is the q'th term of 28, -15, -56, -95, -132? q**2 - 46*q + 73 What is the u'th term of 651, 636, 609, 564, 495, 396? -u**3 - 8*u + 660 What is the c'th term of 404, 803, 1204, 1607, 2012, 2419, 2828? c**2 + 396*c + 7 What is the p'th term of 35, 146, 331, 590, 923, 1330? 37*p**2 - 2 What is the x'th term of -358, -376, -418, -496, -622, -808, -1066? -2*x**3 - 4*x - 352 What is the m'th term of 21, 63, 125, 201, 285, 371, 453? -m**3 + 16*m**2 + m + 5 What is the x'th term of 69, 216, 461, 804, 1245, 1784, 2421? 49*x**2 + 20 What is the b'th term of -24, -94, -210, -372, -580, -834? -23*b**2 - b What is the l'th term of 27, 48, 71, 96? l**2 + 18*l + 8 What is the j'th term of 401, 402, 401, 398, 393, 386, 377? -j**2 + 4*j + 398 What is the n'th term of -51, -47, -43, -39, -35, -31? 4*n - 55 What is the v'th term of 295, 279, 237, 157, 27, -165, -431, -783? -2*v**3 - v**2 + v + 297 What is the f'th term of -39, -54, -71, -90, -111, -134, -159? -f**2 - 12*f - 26 Wh
{ "pile_set_name": "DM Mathematics" }
the derivative of -3*v**4 - 3*v**2 + 850808*v - 46105065? -12*v**3 - 6*v + 850808 Differentiate -9872905*n - 22733636. -9872905 Find the third derivative of 325773*v**4 + 4*v**3 - 3916*v**2 + 656*v - 2. 7818552*v + 24 What is the third derivative of -2902837*s**3 - 206872*s**2 - s + 3 wrt s? -17417022 What is the second derivative of -49*k*m**3 - k*m**2 + 3310*k*m - 7*k - 3*m**3 + 2589*m**2 + 15*m + 7 wrt m? -294*k*m - 2*k - 18*m + 5178 What is the third derivative of 629557406*f**3*m**3 + 72404*f**2*m + 7140*m**3 wrt f? 3777344436*m**3 Find the third derivative of -2493727*v**5 + 71769*v**2 - 50*v wrt v. -149623620*v**2 Find the second derivative of 16366*g**2*y**2 + g**2*y - 5172*g**2 - 55*g*y**2 - 220 wrt y. 32732*g**2 - 110*g Differentiate -4*g**2 + 764188*g + 265710 with respect to g. -8*g + 764188 Find the second derivative of -2127*m*z**3 - 22*m*z**2 - 210*m*z + 5*m - 10*z**3 - 2*z**2 - 73*z - 6 wrt z. -12762*m*z - 44*m - 60*z - 4 What is the second derivative of -790*h**2*o**2 + 50*h**2*o*x**2 - 68*h**2*o + 302*h*o + 4*h*x**2 - 81*o**3*x + 48*o**2*x**2 wrt o? -1580*h**2 - 486*o*x + 96*x**2 Find the second derivative of -14202888*u*w**2 + 8148*u*w - 2*u - 2*w - 66 wrt w. -28405776*u Find the second derivative of 1445*h**3 + 9178*h**2 + h - 33642518. 8670*h + 18356 What is the first derivative of -12195481*y**3 - 2*y**2 - 10*y + 648203895? -36586443*y**2 - 4*y - 10 Differentiate 2*t**4 + 3*t**3 + 10820*t**2 + 68*t - 65994273 wrt t. 8*t**3 + 9*t**2 + 21640*t + 68 What is the second derivative of 468834*p**4 + 48599*p - 37? 5626008*p**2 What is the second derivative of 5874669*z**4 + 6*z**3 + 148159924*z wrt z? 70496028*z**2 + 36*z What is the first derivative of 1277*u*z - 11396326*u + 110*z wrt z? 1277*u + 110 What is the third derivative of 29456979*a**3*z**3 - 2*a**3*z**2 - 28*a**3 + 4*a**2*z**6 + 25505*z**2 wrt z? 176741874*a**3 + 480*a**2*z**3 What is the first derivative of 95546461*m**2 - 96062926? 191092922*m Find the second derivative of -1057688537*d**3 + 415504409*d. -6346131222*d What is the second derivative of 352*z**5 + 3865*z**3 + 15056000*z wrt z? 7040*z**3 + 23190*z What is the third derivative of -18877373*i**3 + 7791770*i**2 - 2*i - 3? -113264238 What is the second derivative of 580*f**4 + 232*f**3 - 286*f**2 + 490633016*f? 6960*f**2 + 1392*f - 572 What is the third derivative of -40135462*g**4 + 2607*g**2 + 5333? -963251088*g What is the third derivative of 234*r**6 + 2*r**4 + 158*r**3 + 13853777*r**2 wrt r? 28080*r**3 + 48*r + 948 Find the second derivative of -27973146*m**3 + 60026*m - 20 wrt m. -167838876*m Find the second derivative of 2329785*n**3 + 6705872*n. 13978710*n What is the second derivative of -1418*i**3*p**2 - 29*i**3*p - 3*i**3 - 3723*i**2*p**2 + 18*i*p - 22*p - 2 wrt p? -2836*i**3 - 7446*i**2 Find the third derivative of 1342*g**2*p**4 + 3*g**2*p**2*t + 5*g**2*p - 3*g**2 + 2129*g*p**3*t - 14*g*p**2 - 3*g*p - 2*g*t + 66*p*t wrt p. 32208*g**2*p + 12774*g*t Find the third derivative of 155277799*c**2*p**3 + 16*c**2*p**2 - 9*c**2*p - 2*c**2 - 4655*p**2 wrt p. 931666794*c**2 What is the second derivative of -470524*m**2*x - 31*m**2 + 17799535*m*x wrt m? -941048*x - 62 Find the second derivative of 484914346*j**3*q**2 - 33083*j**3 - j**2*q - 832*j wrt q. 969828692*j**3 What is the derivative of 3*x**4 + 647*x**3 - 9482*x**2 - 45421646 wrt x? 12*x**3 + 1941*x**2 - 18964*x Differentiate -28770795*k**2 + k + 434287531 wrt k. -57541590*k + 1 Find the third derivative of -9319922*m**2*u**3 + m**2*u**2 - 10*m**2 + 983*m*u**2 - 55*u wrt u. -55919532*m**2 Differentiate a*j*v + a*v**3 + 405400*j*v**3 + 4*j - 2*v**3 + 12*v**2 + 115012 wrt j. a*v + 405400*v**3 + 4 Differentiate 355*a*o**3 + 58603*a + 89*o**3 - o - 7947 with respect to a. 355*o**3 + 58603 What is the third derivative of 259749621*o**3 - 5*o**2 + 28606278 wrt o? 1558497726 Find the second derivative of 899860940*i**2 + 425661154*i - 1. 1799721880 Find the first derivative of 3*i**3 + 1183919*i**2 - 3*i + 111804361 wrt i. 9*i**2 + 2367838*i - 3 What is the second derivative of 104*p**5 + 40185*p**3 - 7*p**2 + 848168443*p wrt p? 2080*p**3 + 241110*p - 14 Differentiate 298977351*o*t**2 + 2*o*t + 2*o - 5812558*t**2 + 3*t - 2 with respect to o. 298977351*t**2 + 2*t + 2 What is the third derivative of -94339694*h**3 - 36864858*h**2 + 4*h wrt h? -566038164 Find the third derivative of 1912468*n**6 - 31*n**2 - 6429. 229496160*n**3 What is the second derivative of 669062*a**3*w**2 - 136*a**3 - 2*a*w**2 - a*w - 268*a - 2*w**2 + 1644*w + 1 wrt a? 4014372*a*w**2 - 816*a Find the first derivative of -x**4 - 34715*x**3 - 4*x + 21004559 wrt x. -4*x**3 - 104145*x**2 - 4 Find the third derivative of -41669809*c**3 - 36226639*c**2 wrt c. -250018854 Find the third derivative of -23789094*r**3 - 2221*r**2 + 436 wrt r. -142734564 What is the third derivative of 5360*k**5 + 2665*k**4 + 2*k**3 - 51561420*k**2 - 2*k? 321600*k**2 + 63960*k + 12 What is the second derivative of w**4 - 10278*w**3 - 32*w**2 + 7267806*w? 12*w**2 - 61668*w - 64 Find the third derivative of 1148816*m**6 - 17*m**3 - m**2 + m + 22585783. 137857920*m**3 - 102 Find the second derivative of 208702754*d**2 + 24645610*d - 6. 417405508 Find the third derivative of -2831184*h*n**3 - 1450*h*n**2 - 26*n**2 + 21*n wrt n. -16987104*h Differentiate 307*l*q + 15314706*l + 3271*q with respect to q. 307*l + 3271 What is the derivative of 959*c*s*z**3 + 11601*c*s*z**2 + c*z**3 - 278*c*z**2 + 14*c*z + 271*c - 3*z wrt s? 959*c*z**3 + 11601*c*z**2 What is the second derivative of 127743361*y**2 + 411265116*y? 255486722 Find the third derivative of -f*q**3*r**3 + 2340*f*q**2 - 11*f*q*r + 1805801*q**3*r + 4*q**2*r**3 - q**2 wrt q. -6*f*r**3 + 10834806*r What is the second derivative of -10004400*o**2 - 1103450*o - 4? -20008800 Find the second derivative of 624225096*p**3 + 1333676405*p. 3745350576*p What is the second derivative of 140704*s*t**2 + 54*s*t + 325692*s - 5*t**4 - 12*t**3 + 13*t**2 - 3*t wrt t? 281408*s - 60*t**2 - 72*t + 26 Differentiate -2*d*n**2 + 8104*d*n - 3054*d + 727717099*n**2 wrt d. -2*n**2 + 8104*n - 3054 Differentiate -7*f**2*t**3 + 70885*f**2 + 24578*t**3 + 207 wrt f. -14*f*t**3 + 141770*f Find the second derivative of -47825965*w**3 - w + 424286 wrt w. -286955790*w Find the first derivative of 369413711*t + 80571147. 369413711 What is the third derivative of 12749645*d**6 + 44703418*d**2? 1529957400*d**3 Find the second derivative of -123*q**4 + 16694*q**2 + 8935980*q wrt q. -1476*q**2 + 33388 Find the second derivative of -2458*l**4 - l**3 + 7353*l**2 - 472371840*l wrt l. -29496*l**2 - 6*l + 14706 Find the third derivative of -10037533*s**6 - 125373*s**2 + 12. -1204503960*s**3 Differentiate 2*c*i**3*z - 310077576*c*i - 607*i**3*z + 3*i**3 + 44780*i with respect to c. 2*i**3*z - 310077576*i What is the derivative of -126042*o*y**2 - 522*o - 3110 wrt y? -252084*o*y What is the first derivative of 10681618*t - 17978266 wrt t? 10681618 What is the second derivative of -u**3*w - 1146*u**3*x**2 - 2*u*w**2*x**2 + 132*u*w**2*x - 30773*u*w**2 - 10085*x**2 wrt x? -2292*u**3 - 4*u*w**2 - 20170 Find the third derivative of 32558472*d**2*j**4 + d**2*j**2 + 2*d**2 - 8953*d - j**4 - 2*j**2 - 11*j wrt j. 781403328*d**2*j - 24*j Find the second derivative of 34554248*b**2 - 4*b - 4408311. 69108496 Find the third derivative of 5*h**3*x**3 - 25048*h**3*x + 6772999*h**2*x**4 + 580*x**2 wrt x. 30*h**3 + 162551976*h**2*x What is the first derivative of -45732341*z - 51840946 wrt z? -45732341 Find the third derivative of 377749*s**6 + s**5 - 46412*s**2 + 2*s - 61. 45329880*s**3 + 60*s**2 Find the third derivative of -19775218*f**5 - 25466593*f**2 wrt f. -1186513080*f**2 Find the third derivative of -400*y**6 + 99410*y**4 - 226246247*y**2 wrt y. -48000*y**3 + 2385840*y What is the second derivative of 140*p**3*r**4 + 16057*p**3*r**3 - 1463386*p**3*r - 2*p*r - 4*r wrt r? 1680*p**3*r**2 + 96342*p**3*r Find the third derivative of -37556935*x**3 - 2*x**2 + 2533*x + 2959. -225341610 What is the third derivative of 37340*j**4 - 486*j**3 - 76229575*j**2? 896160*j - 2916 What is the third derivative of 16*h**3*v**3 - 71556*h**3*v**2 - 20*h**2*v**3 - 143171*h**2*v wrt h? 96*v**3 - 429336*v**2 What is the second derivative
{ "pile_set_name": "DM Mathematics" }
(5 + -20 + 8). 6 0 + -3 + 0 + -1 -4 What is 2 + -3 - (2 - (0 - 2))? -5 What is 7 + -4 + 0 - 8? -5 Calculate 1 + 0 - (-22 - -23). 0 What is the value of -1 + -10 + -72 + 83? 0 2 + (1 + (4 - 9) - 7) -9 Calculate 2 - -1 - (0 - 0). 3 0 - -11 - (-5 + 14 + -3) 5 (-4 - (-3 + -1) - 1) + 5 4 What is the value of 59 + -60 + (2 - -4 - -2)? 7 1 - 4 - (79 + -79) -3 -4 + (6 - (-1 - 0)) 3 Evaluate 12 + (-4 - 17 - -9). 0 What is -5 - (-15 - (-13 - -7))? 4 What is (-10 - (1 + -6)) + (7 - 3)? -1 What is 3 + (3 - (5 - 3))? 4 What is the value of -1 - ((1 - -7) + -15)? 6 Calculate -1 + 3 - (-2 - (0 + -1)). 3 What is the value of 8 + (-2 - 2) - 6 - -3? 1 -13 + (-4 - ((1 - 17) + 8)) -9 What is (-20 - -12) + -7 + 7 + 0? -8 What is -7 + -2 + 5 + -2? -6 Evaluate 1 + -5 + 6 + 7. 9 Evaluate 6 + -11 + 7 + 3. 5 What is -1 + 1 + (26 - 31)? -5 Evaluate 6 + 5 + 2 + -19. -6 Evaluate (7 - (1 + 3)) + -6. -3 (6 - 5) + (3 - 2) + -4 -2 Calculate 5 - 1 - -2 - (60 - 47). -7 What is the value of 1 + 2 + 6 + -12 + 4? 1 Calculate (0 - -1) + 3 + 0 - 2. 2 Calculate (6 - (2 - -3)) + -4 + 0. -3 Evaluate -5 + (8 + 12 - 6). 9 Calculate (7 - 6) + 1 + -11 - -3. -6 What is the value of 1 - (-1 + 2 + -4)? 4 What is 4 + -8 + 5 + -8 + 15? 8 Calculate 6 - (9 - -1) - (0 - 7). 3 -17 - (-19 + 15) - (-3 - 1) -9 -5 + (7 - 6 - -12) - 2 6 What is the value of -3 + -6 + -1 + 9 - -3? 2 What is the value of (-6 - (-8 + 1)) + 2? 3 3 + 4 + 2 + -6 3 What is the value of (2 + -4 - -6) + -5? -1 Calculate 0 + 0 + -11 + 13. 2 -1 + (3 + 4 - 9) -3 What is the value of 17 - ((-4 - -5) + 9)? 7 What is the value of -9 + 10 + 0 + -8? -7 What is the value of -2 - (1 + -4) - (-1 - 0)? 2 Calculate 9 + 1 - (36 + -28). 2 Evaluate (7 - 9) + 11 - 6. 3 What is -6 - (1 - (-15 + 8 + 5))? -9 Evaluate -7 - (0 - 3) - 0. -4 Calculate (12 - 5 - (-2 + 15)) + 4. -2 -7 + (-1 - (4 - 10)) + -3 -5 Calculate (1 - 1) + (0 - -1). 1 Calculate -5 + -2 + (-2 - 2 - -6). -5 (-109 - -110) + -2 + -6 -7 7 - 2 - (-2 - -3) 4 -5 - (0 + -2 - (2 - 2)) -3 What is the value of 1 + (-13 - -11) + 1 + 1? 1 Evaluate 7 + 0 + -6 + 1. 2 4 + -9 + -2 + 5 -2 What is the value of 2 + 3 + 6 + -11? 0 What is 4 + (0 - (8 - 5))? 1 Calculate 8 + 7 + -10 - 3. 2 What is 4 + 0 + -1 + 0? 3 Evaluate (-13 - (-1 + -8)) + (4 - 0). 0 Calculate (2 + -7 - 0) + 9. 4 Evaluate 1 - 2 - (-3 + 6 + 0). -4 What is the value of -1 + (6 - (6 - (6 - 2)))? 3 What is 6 - -1 - (12 - 9)? 4 What is -4 - ((3 - 4) + -3)? 0 What is the value of (0 - (-16 - (8 + -16))) + -3? 5 Calculate -3 + 11 + -9 + 1 + 1. 1 What is 6 + -10 + 5 + (1 - -1)? 3 Calculate 6 - ((5 - -11) + -6 - 4). 0 What is -4 + (6 - (0 - -5)) + 4? 1 What is the value of -3 + 3 + 5 + 4 + -10? -1 Evaluate 7 + (2 + 5 - 14). 0 What is the value of 1 - (-5 + 7 + -1)? 0 What is -1 + -1 + 1 - (-3 - 7)? 9 What is the value of 4 + (8 + -12 - -1)? 1 What is -2 + 6 + -6 + 3? 1 5 - (-4 - (1 - 5)) 5 What is the value of (2 - 10 - -9) + -1? 0 -16 + (-16 - -38) + -2 + 1 5 Calculate 5 - (5 + -8 + 3). 5 What is (4 - -4 - 3) + (-1 - 0)? 4 What is the value of -6 - (-7 + (-2 - 3)) - -5? 11 What is the value of 4 + -2 + -2 + 0 + 0? 0 Calculate (12 - 6) + 1 - (0 + -2). 9 28 - 34 - (-4 + -1) -1 Calculate (1 - 2) + 1 + 1 + 1. 2 What is the value of (1 - -4) + (6 - 3 - 1)? 7 What is the value of 3 + (-1 - 4) + 1? -1 What is (-3 - -8) + -4 + -3 - -4? 2 What is 4 + -2 + 1 + -7 - 2? -6 What is 93 - 89 - (0 - 1)? 5 Calculate -5 - (-5 - (-2 - 1 - -4)). 1 (4 - 3) + -1 - -3 3 (32 - 34) + 1 + -4 - -10 5 What is the value of -4 - (-3 + -3 + 6)? -4 (-7 - -1) + -1 + 5 -2 What is the value of 3 + 0 - ((20 - 8) + -7)? -2 Calculate -3 - (11 + -17 - -1). 2 What is 11 - 9 - (-1 + 7)? -4 4 + (2 - (-10 - -4)) + -3 9 What is 18 + -18 + (5 - -1)? 6 What is the value of 3 + 1 + 3 + -5? 2 What is -1 - 3 - (6 - (11 - 5))? -4 What is -5 - (-1 + -12 + 6)? 2 What is (3 - 8) + 8 + 0? 3 Evaluate ((11 - 8) + 1 - 0) + 3. 7 Calculate -7 + (2 - -7 - 1) + -3. -2 What is the value of (0 - -1) + -14 - (-4 - 2)? -7 What is (3 - -5) + -1 + -5 + 2? 4 -4 - -3 - (1 + -10) 8 What is the value of (3 - (-4 - -5) - 5) + -4? -7 Calculate 10 + -17 + 5 + (0 - -4). 2 0 + (0 - 0 - -2) - 1 1 Evaluate -9 + 8 - (4 - (2 - 3)). -6 What is the value of -13 + -11 + 13 - -5? -6 Evaluate (5 + -4 + 1 - 3) + 6. 5 What is the value of 14 - 15 - (0 + -4)? 3 0 - (-3 + 5) - -2 0 What is the value of (15 - 11) + -3 + (2 - 2)? 1 -3 + (-1 - (-4 + -4)) + -1 3 -9 + 7 + -4 + 7 1 -12 - ((32 - 25) + -10 + 2) -11 (-13 - -17) + (-1 - -4) 7 What is (-2 - (0 - -2)) + 31 + -29? -2 What is -25 - -9 - -8 - (-2 - -1)? -7 -1 + 1 + 4 + -7 -3 -4 + 3 - -2 - 1 0 -2 - (3 + 6 - 4) -7 Calculate (1 - (-2 + 0)) + -4 - 1. -2 What is the value of 4 + 3 + (-4 + 2 - 1)? 4 Calculate 4 + (-2 - 6) + -1. -5 -2 + 0 - (-4 - (-4 + 4)) 2 What is the value of -5 + (-3 - (3 + -6)) + 0? -5 -2 + 4 + (6 - (5 - -7)) -4 What is -6 - (-13 - (-7 + 2))? 2 What is the value of -10 - (-7 + -7 + 4 + 6)? -6 What is -17 - -17 - (3 - 1)? -2 What is -1 + -2 + -1 + 218 + -215? -1 What is the value of (12 - 1 - 7) + -2 + -7? -5 What is the value of 53 + -54 + (0 - -7)? 6 Calculate 6 + (1 + -9 - -4). 2 Evaluate (-5 - -6) + -1 + -2. -2 What is the value of 3 - 5 - (1 - -1)? -4 Calculate 1 + 2 + -7 + 6. 2 Calculate 3 + (3 - -2 - 13). -5 Evaluate -21 - -20 - (2 - 6). 3 Calculate (2 - 0) + 0 + 0 + -3. -1 Calculate 13 - (-2 - (12 - 25)). 2 (-1 - 3) + -1 + 5 0 What is (-2 - -5) + -2 + (-10 - -9)? 0 Calculate 1 + -2 - (-6 + (3 - -1)). 1 Calculate 16 + -11 + (-8 - 3) + 1. -5 What is the value of 16 + -14 + (2 - 8) - 2? -6 Evaluate -20 - -31 - (5 - -1). 5 Evaluate 6 + -7 + 2 - 5. -4 What is the value of 1 + -9 + 5 + (-3 - -1)? -5 3 - ((-1 - (1 - 1)) + 3) 1 What is -4 - 1 - (2 + -2) - 3? -8 What is (14 - (12 - 8)) + -3 + -1? 6 Calculate 5 + -4 + 0 - 0. 1 -1 - -9 - (7 + (8 - 12)) 5 Evaluate 3 + 1 - (6 - -3). -5 -12 + (-21 - -29) - (5 - 1) -8 Calculate (-3 - (0 + -6)) + 3. 6 What is the value of -2 + -6 + (-5 - -11)? -2 What is 2 - (3 + 5) - (-18 + 5)? 7 What is the value of -128 + 116 + 10 + -2? -4 What is -61 - -65 - (2 + -3 + 5)? 0 Evaluate 4 - ((-8 - -11) + 0 + 5). -4 What is 4 - 7 - (-3 - -1)? -1 What is the value of (-3 - (3 + -9)) + -8? -5 What is the value of -208 + 196 + 1 + 2? -9 11 - 13 - (4 + -1) -5 Evaluate 0 - (-1 - (-3 + -2) - 5). 1 What is the value of 1 + 3 + 0 + -7 + -2? -5 What is 6 + 2 + (1 - 9) + 5? 5 What is the value of 14 - (-12 - -17) - 12? -3 Calculate (-3 + 1 - (-6 + 1)) + -2. 1 What is (-6 - -13 - -1) + -2? 6 1 - (-2 + (9 + -4 - 4)) 2 What is the value of 0 + (1 - (13 + -4))? -8 Calculate (3 - -6 - 3) + -4 + 3. 5 What is 2 - (3 + (1 + -1 - 1))? 0 Calculate 4 - ((-1 - -4) + 4). -3 Evaluate 3 - (13 + -6 - (0 - 0)). -4 What is the value of (-7 - (0 - -4 - 18)) + -7? 0 Evaluate -15 + 15 - (-3 + 1 + 2). 0 7 + (-13 - -6 - 2) -2 Evaluate 4 + -1 - (7 + (11 - 10)). -5 -10 - (-6 - -3 - -1) -8 What is -2 - (-3 + 6) - -9? 4 (6 - 1) + (-8 - -6) 3 What is 24 + -18 + 3 + -5 + -1? 3 Calculate 0 + (6 + -3 - 4). -1 Calculate -5 - ((0 - -1) + (-10 - -10)). -6 Evaluate (-14 - -27) + 2 + -10. 5 (-9 + 5 - (3 - 2)) + -4 -9 What is 3 + -7 + (3 - 2 - 0)? -3 Calculate -11 - -1 - (-9 - (-5 - 0)). -6 What is -21 + -2 + 2 + 12? -9 Evaluate 8 + (10 - 20) - (0 - 5). 3 Evaluate 15 + -10 + (-16 - -2). -9 Calculate -9 - (0 + 5 + -23). 9 What is (11 - -2) + -15 + (6 - 0)? 4 What is 1 - 3 - (-1 + -1 - 0)? 0 -3 + (-2 + 1 - -3) -1 Evaluate -15 + 10 + 2 + 2. -1 Calculate -3 + (-6 - -11) + (-4 - -1). -1 What is (-5 - 2) + 3 - (-6 + 3)? -1 Calculate -3 + (6 - (-3 - -7)). -1 14 + -5 + -15 + 1 -5 What is -1 + -4 + 4 - (-4 + 1)? 2 Evaluate 0 - (-1 - -3) - (5 - 11). 4 Evaluate 3 - 4 - (1 + 1) - -3. 0 Calculate (-2 - (-8 + -6)) + -4. 8 Evaluate 4 - -3 - (6 + 2 + -4). 3 Evaluate 2 - (-3 + 5 - -1). -1 Evaluate (2 - 6) + (1 + -1 - -4). 0 What is the value of 0 - 8 - (1 + 19 - 21)? -7 What is the value of (-4 - 0) + 1 + 2? -1 -8 + 14 + (-21 - -6) -9 What is 0 - (4 - 7) - 4? -1 What is the value of -6 - 0 - (9 - 9)? -6 Calculate 2 + (9 + -5 - 6). 0 Calculate 14 + -10 + -12 - -10. 2 Evaluate 5 + -3 + (3 - 2) + 0. 3 What is the value of -1 - ((-2 - -5) + (5 - 11))? 2 Evaluate (8 - (-4 - -3)) + -10. -1 What is 4 - 0 - (-1 + -1 + 3)? 3 Calculate -13 + 6 + 0 - -16. 9 7 + (-4 - (2 - -2)) -1 Calculate -5 - (-1 - ((2 -
{ "pile_set_name": "DM Mathematics" }
d to four dps? -0.0107 Let n = 4230.03 - 4206. Round n to the nearest ten. 20 Let q = 0.07519 - 0.07536464. Round q to five decimal places. -0.00017 Let z = 76.739 + 388.931. Let a = -471 + z. What is a rounded to one dp? -5.3 Let x(n) = -6*n**2 - 30*n - 8. Let b be x(-3). Let y(u) = -5*u**3 - 8*u**2 - 39*u + 24. Let v be y(b). What is v rounded to the nearest one thousand? -117000 Let i = -238.712 + 231.9. What is i rounded to the nearest ten? -10 Let k = -2530.9972853 - -2531. What is k rounded to 4 decimal places? 0.0027 Let n = 2.742 + -2.7421142. What is n rounded to 5 decimal places? -0.00011 Let u = 10436 - 10436.07743. What is u rounded to two dps? -0.08 Let g = 0.024219 + -0.074781. What is g rounded to three dps? -0.051 Let b = -127 - 113. Let c = b + 293.9. Round c to the nearest 10. 50 Suppose -k = -5*m + 42394, -3*m - 5*k + 10032 + 15438 = 0. Round m to the nearest 1000. 8000 Let d = -28300.863 - -28287. Let r = d - 0.037. Round r to zero decimal places. -14 Suppose 2*o - 799997 = -3*z, -400003 = -27*o + 26*o + 3*z. What is o rounded to the nearest one hundred thousand? 400000 Let s = -5.5 + 95.5. Let f = s + -89.53. Round f to 1 dp. 0.5 Suppose -9 = 4*s + 7. Let i be (s - -2) + -3 + -2639995. What is i rounded to the nearest one million? -3000000 Let n = -721251 + 1742967. Let c = -1022761.481 + n. Let u = -1046 - c. Round u to 2 dps. -0.52 Let r = 27.337 - -4.198. What is r rounded to the nearest integer? 32 Let t(k) = -2*k**3 + 8*k**2 - 7*k + 7. Let c be t(3). Suppose -2*r = -0*r. Suppose c*j - 2*j - 8400 = r. Round j to the nearest 1000. 4000 Let f = -0.7679 - -0.7678962468. What is f rounded to 7 dps? -0.0000038 Let m = 0.312 - -181.688. Let d = -181.999805 + m. Round d to 5 decimal places. 0.0002 Let z = 623.34493 + -623.4. Let u = 0.0641 + z. Round u to 3 decimal places. 0.009 Let d = -1190.904395 - -1194.335. Let y = d - 3.43. What is y rounded to 5 dps? 0.00061 Let y = 15490 + -13280.9. What is y rounded to the nearest ten? 2210 Suppose -6*o + 28*o = 8*o - 2089234. Round o to the nearest ten thousand. -150000 Let l = 1778.4 + -1742.682. What is l rounded to the nearest 10? 40 Let s = -0.1739 + -1006.8261. Let g = -1007.000567 - s. What is g rounded to 4 decimal places? -0.0006 Let m = 0.348 - 187.348. Let v = -186.99996806 - m. What is v rounded to 5 dps? 0.00003 Let x be 431*-30*(-24)/72. What is x rounded to the nearest ten thousand? 0 Let s = 7 - 6.75. Let b = -4.08 - -3.66. Let i = s + b. Round i to 1 dp. -0.2 Suppose 10317 = c - 60794. Let b be 4447008/(-90) + 2/10. Let g = b + c. Round g to the nearest one thousand. 22000 Let l = 9260 + -10893.8. Round l to the nearest 10. -1630 Let x be 6/24 + (-38564001)/4. What is x rounded to the nearest one million? -10000000 Let m be (1/(-2))/(3/(-3312)). Suppose m = -s - 528. What is s rounded to the nearest 100? -1100 Let n = 335242.9836 + -335145. Let s = -5.92 - -103.92. Let f = s - n. Round f to three decimal places. 0.016 Let m = 15.8309975 + -15.83. Round m to 4 decimal places. 0.001 Let i = 2437.155 + -2462. Let t = 24.51 + 0.49. Let l = t + i. What is l rounded to 2 decimal places? 0.16 Let j = 18621.84 - -214.16. Let i = j + -18846.511. Let u = -0.111 - i. What is u rounded to the nearest integer? 10 Suppose 61 = -3*t + 73. Suppose -4*y = -5*c + 56705942 + 35694063, c = -t*y - 92399999. What is y rounded to the nearest 1000000? -23000000 Let x = 74762 - 44580. Round x to the nearest one thousand. 30000 Suppose 4*g = f - 8813, 2*f = -5*g + 6981 + 10697. Round f to the nearest 100. 8800 Let z = 12276.442 + -12260. Round z to 0 dps. 16 Let q = 0.0631 + -17.7631. Let r = q + -75.7. What is r rounded to the nearest integer? -93 Let p = -1077 + 815. Let t = -2444 - -2203.1. Let f = t - p. Round f to 0 decimal places. 21 Let q(y) = 123*y + 33. Let v be q(16). Let u be 0 + 1 + -1 + v. Suppose -n - n = -3*z - 6002, -z - u = -n. What is z rounded to the nearest 10000? 0 Let k(o) = -o**2 + 4*o + 4. Let p be k(6). Let t(a) = 2*a + 130 - 142 + 0*a - 73*a**2. Let v be t(p). What is v rounded to the nearest one thousand? -5000 Let x = -4.0325 + 4. Let g = -2.77091 + 2.742. Let l = x - g. Round l to 4 decimal places. -0.0036 Let o = -504 - -503. Let u(j) = -4121*j - 31. Let i be u(o). Round i to the nearest 1000. 4000 Let m = 266 - 271. Let q be 2/(-12) + (-75041681)/(-66) - m. What is q rounded to the nearest one hundred thousand? 1100000 Let o = 36150.96318 + -36150. What is o rounded to 1 decimal place? 1 Let k = -317.49 + 37.89. What is k rounded to the nearest 10? -280 Let g = 166 - 166.0182. Let y = -0.0659 - g. Let t = y - -0.04389. What is t rounded to three dps? -0.004 Suppose -2 = k - 7. Suppose -3*g + 3*p = -2200596, 0 = k*p - 2 + 7. Let j = 133531 - g. Round j to the nearest 100000. -600000 Let l(d) = 1412*d**2 + 20*d - 12. Let p be l(10). Let q = -282519 + 189831. Let v = q + p. Round v to the nearest 1000. 49000 Let s = 256.8525 + -0.1525. What is s rounded to the nearest 10? 260 Let a = 5365385 + -9690385. What is a rounded to the nearest one million? -4000000 Let b = 123214.255708 + -123214. Round b to three dps. 0.256 Let j(m) = 5*m**3 - 8*m**2 - 9*m. Let g be j(-3). Let b be 4/30 + 23604/g. What is b rounded to the nearest 100? -100 Let y = 4 + -4.93. Let m = 0.768 + y. Round m to two decimal places. -0.16 Let d = 17517 + -7170. Let g = -3 - -9. Suppose -i = -5*u - d, 10344 = -g*u + u + 2*i. Round u to the nearest one hundred. -2100 Suppose n = -2*o + 30, o = -n + 7 + 25. Suppose 5515401 = 37*d - n*d. Let u = 3578467 - d. Round u to the nearest 100000. 1700000 Suppose 5*w = 4*v - 19265 + 2628, 0 = 5*v + 5*w - 20830. Suppose -7*t + v - 22083 = 0. Round t to the nearest one thousand. -3000 Let h = -72 - -6. Let n = h - -66.0000009. Round n to 7 decimal places. 0.0000009 Let b = 169 - -167. Let m = b - 211. Let q = m + -136.4. Round q to 0 decimal places. -11 Let f = 328.225 - -3.865. What is f rounded to the nearest integer? 332 Let p = 12863.9980238 - 12864. Round p to four dps. -0.002 Let m = -0.05 - -0.222. Let g = 37.128 + m. What is g rounded to the nearest 10? 40 Let y be (-20 - -26 - 556*4)*-1. Suppose -5031 = 11*c + y. What is c rounded to the nearest one hundred? -700 Let m = 1790380694.9998754 + -1790379692. Let j = -1003 + m. What is j rounded to five decimal places? -0.00012 Let l = -6961654.07749234 - -6961654. Let h = l - -0.0775. What is h rounded to 6 dps? 0.000008 Let k = -6056.5195 + 6056. Round k to two dps. -0.52 Let y be 1013954/(-10) + (-228)/30 + 8. Let g = 51895 + y. What is g rounded to the nearest 10000? -50000 Let r = -25.53 + 2.53. Let f = 22.786 + r. What is f rounded to 1 dp? -0.2 Let y = 1210763.6 + -1210755.600571. Let a = -9 + 17. Let m = y - a. What is m rounded to four decimal places? -0.0006 Let y = -442133215 + 442150507.60318. Let q = y - 17320.4. Let f = q - -27.8. Round f to four dps. 0.0032 Let o = 61 + -59. Let u = o + 34. Let h = 35.9776 - u. Round h to 2 decimal places. -0.02 Let k(o) = 201*o**3 - 18*o**2 + 6*o + 40. Let z be k(10). What is z rounded to the nearest 100000? 200000 Suppose 2*a - 3*a - 4*k = -20, 2*a + k - 19 = 0. Let r be -1022*(-2 + 4/a). What is r rounded to the nearest 100? 1500 Let f be (1 + -3)/(-1) + -25 + 1449023. Suppose 0 = -10*u + u + f. What is u rounded to the nearest ten thousand? 160000 Let h = -1383 - -864. Let x = h + 518.999108. Round x to 4 decimal places. -0.0009 Suppose 3*i = 8*i + 676885. Let m = i + 193795. Suppose -11*x - 29582 = m. Round x to the nearest 10000. -10000 Let n = 4241738.439 - 4244605. Let v = -2869 - n. Round v to one dp. -2.4 Let i = 1485 - 783. Let l = -702.001049 + i. What is l rounded to four dps? -0.001 Let c = -24479426 + 24479435.12999239. Let k = c + -9.13. Round k to 7 decimal places. -0.0000076 Let g = 0.311 + -0.2751. Let h = 1.2629 - g. Let n = h + -1.17. Round n to two dps. 0.06 Let a(h) = -300001*h**3 + 2*h**2 + 8*h + 5. Let p = -435 - -434. Let k be a(p). What is k rounded to the nearest one hundred thousand? 300000 Let z(l) be the first derivative of 94994*l**2 - 24*l - 34. Let f be z(-2). Round f to the nearest 1000000. 0 Suppose 0 = 3*a - 4*r + 6097204, 0 = -2*a + 23*r - 19*r - 4064804. Round a to the nearest 100000. -2000000 Let o = -0.0446 + -140.
{ "pile_set_name": "DM Mathematics" }
7)/21. Solve -s*a + k - z = 0 for a. -1 Let z(t) = -3*t - 1. Suppose 0 = 5*u - 5*i - 35, -6*u + 2*u - 3*i = -7. Suppose 3 - 11 = u*j. Let c be z(j). Solve c*b + 7 + 8 = 0 for b. -3 Suppose -7*p + 2*p = 55. Let k = -8 - p. Solve 13 = 4*l - k for l. 4 Suppose -4*o - 7 = -5*o - 3*b, 0 = -o + 4*b + 14. Suppose 3*z = z + o. Let m be (2/(-4))/(4/(-8)). Solve -4 = -z*t + m for t. 1 Let q(b) = b**3 - 6*b**2 + 9*b + 5. Let j be q(5). Solve -8*d = -3*d - j for d. 5 Let d be 9*((-15)/9)/(-5). Suppose 3*c = 5*a + 4*c - 14, -c = d*a - 10. Solve -a*l - 10 = -7*l for l. 2 Let j be (2/4)/(-4*2/(-240)). Solve j = -6*w + w for w. -3 Let r(u) = u**3 + 15*u**2 - 17*u - 11. Let t be r(-16). Solve 12 = t*d - 8 for d. 4 Suppose 4*q + 5 = 13. Solve 0 = -0*o + o - q for o. 2 Let r be (-4)/(-20) - (-4)/5. Solve -r = 2*g - 5 for g. 2 Let p(g) = g**2 - 4*g - 3. Let v be p(5). Suppose v*o + 18 = 5*o. Let w be 1 + -3 + (-44)/(-11). Solve -w*m = -o*m for m. 0 Let u be (-14)/6 + 1/3. Let c(y) = -2*y + 1. Let n be c(u). Solve -n*h = -17 - 3 for h. 4 Suppose -5*o - 5*a + 8 = -32, 0 = 2*a - 8. Suppose -o*c - 1 - 3 = 4*u, 20 = -4*c. Solve -u*y + 6 = -2*y for y. 3 Let o be -2*5/((-20)/(-6)). Suppose -2*p - 5*g + 31 = 0, 4 = -4*p + g + 11. Let x = p + o. Solve -q - 3 = -x for q. -3 Let m(t) = t**2 - 6*t + 6. Let f be m(6). Let l be 37/f + 7/(-42). Solve -l = -a - 2 for a. 4 Let r = 32 - 28. Solve -p = 3 - r for p. 1 Let r be 1/3 + 100/15. Suppose 0 = 4*m - r - 5. Solve m*k = 14 - 2 for k. 4 Suppose 5*m + i = 23, 7*m - 3*m + i = 18. Suppose 5*q - 2*d = -0*q - 4, -m*q - 2 = -d. Let p = q - -4. Solve -a + p = -3*a for a. -2 Let h be (-2)/(-8) + (-28)/(-16). Suppose -5*l = -5*u + 120, -16 = 2*l + h*l. Let t(d) = d + 7. Let s be t(-5). Solve -u = s*x - 7*x for x. 4 Let m(s) = 3*s. Let w be m(1). Let c = 5 - w. Suppose c*r - 5 = 7. Solve -r*f - 5 = -f for f. -1 Let c(g) = 4*g - 1. Let w(f) = -f - 3. Let z be w(-4). Let i be c(z). Solve 3*r + i = -0 for r. -1 Let v be (7 + 2)/(6/4). Suppose 4*p - v = p. Solve -p*f - f = -6 for f. 2 Let f be 0/((-2 + 3)*3). Solve 0*g + 5*g - 20 = f for g. 4 Suppose -3*p + 4*r - 3*r = 0, 2*p = 3*r. Solve h + p*h - 4 = 0 for h. 4 Let t = -46 - -49. Solve -t*r = r - 20 for r. 5 Suppose -4*u - 2*d + 2 = 0, 3*u - 5*d - 15 = -2*d. Let q(o) = 2*o - 2. Let l be q(u). Suppose 2*w + l*w - 24 = 0. Solve 0*t = -2*t - w for t. -3 Suppose 0 = 4*z - 3*s - 41, 3*s + 0 = -z - 1. Let o be (-5)/(-10)*z/2. Suppose 0 = 5*w - w. Solve -a + o*a + 3 = w for a. -3 Suppose 2 = -u + 5. Solve u*k + 0*k = 15 for k. 5 Let j be (-14)/6 - 2/3. Let u be 6/j + 0 - -7. Let a = u - 3. Solve -3*s = -a*s for s. 0 Let s(a) = a**2 + 9*a + 8. Let u be s(-9). Solve u*v + 4 = 4*v for v. -1 Let c = 1 + 1. Let o be (1 - c)/(-1)*-18. Let a = o - -28. Solve a*d = 5*d + 25 for d. 5 Let a(y) = y**2 - 6*y + 4. Let u be a(4). Let q = 4 + u. Solve k + q*k = -3 for k. -3 Let j(y) = -3*y**3 + y + 1. Let i be j(-1). Suppose 2*a + 1 = -g - 1, 5*g = 4*a + 32. Solve 16 = i*d + g for d. 4 Suppose 2*p + 20 = 5*c + 7*p, -28 = -5*c - 3*p. Suppose 0 = 3*s + s - c. Suppose s*k = 6*k - 20. Solve k*l - 9 = 11 for l. 4 Let y(w) = -w**2 + 8*w. Let j be y(8). Let x(g) = -2*g. Let n = -6 + 4. Let d be x(n). Solve j - d = -m for m. 4 Let i be 22 - (3 - 5/5). Solve -4*z - i = -0*z for z. -5 Let c be 3 - ((-10)/(-2) - 2). Suppose g + g - 6 = c. Suppose g*a = a. Solve a = -4*q + 2*q for q. 0 Suppose 4*k - 36 = -4*t, 0*k = -5*t + 3*k + 5. Solve -t*a - 3 - 1 = 0 for a. -1 Let m = -79 - -85. Solve m*d = d for d. 0 Let u be -2 + (0 + 1 - -1). Let r = 2 + u. Let z be -3*(r - (-16)/(-6)). Solve 2*i + 0 - z = 0 for i. 1 Let f = -112 - -112. Solve -5*y + f = 5 for y. -1 Suppose 13 = 3*l + a, 2*l = 5*a - 4*a + 7. Solve 3 + 9 = -l*o for o. -3 Let k = -31 - -31. Solve 9*b - 4*b + 25 = k for b. -5 Let g(u) = u**3 + 4*u**2 + u - 2. Let o be g(-3). Suppose -1 - 10 = -x - 5*q, -o*q - 20 = -x. Solve -3*j - x + 7 = 0 for j. -3 Let a(m) = -4*m**2 - 4*m + 4. Let y be (-2)/(-2)*(4 + -7). Let s(z) = -9*z**2 - 8*z + 9. Let o(k) = y*s(k) + 7*a(k). Let v be o(-3). Solve 3*i + i = v for i. 1 Let r be 3 + (1 + -1)*(-8)/16. Solve r*x + 0*x + 6 = 0 for x. -2 Let j = 18 - 15. Solve -1 = -i - j for i. -2 Suppose -4 = -5*k + 6. Suppose 4 + k = 2*b. Solve 2*i + b*i + 15 = 0 for i. -3 Let r be 1/(-2) - (-5)/(-2). Let f(p) = -p**3 + 5*p + 3. Let q be f(r). Solve -2*x - q = x for x. -5 Suppose 11 + 29 = 5*h. Let m be 43/9 + h/36. Solve m*d + 3 = -17 for d. -4 Let u = -32 + 32. Solve u = -n - 3*n + 8 for n. 2 Suppose -3 = a - 4*x, a + 0*x = 5*x - 5. Let m(q) = -q**3. Let y be m(0). Suppose y = 7*w - 6*w - 2. Solve -3 - w = a*s for s. -1 Let h(o) = o**2 + 12*o + 19. Let v be h(-6). Let d = -16 - v. Let g be (-9)/((18/(-4))/3). Solve -t = -d + g for t. -5 Let s(m) = -m**2 - 5*m + 1. Let r be s(-5). Suppose y + 0*x + 4*x = r, 2*y - x - 20 = 0. Suppose 2*d + 2*h - 16 = -3*d, 0 = 3*h - y. Solve 4 + d = -3*k for k. -2 Suppose 2*m = -4*d, 3*m - 9 + 0 = 3*d. Suppose 2*y - 6 + m = 0. Solve -y + 0 = 2*s for s. -1 Let f(l) = -l**2 + 0*l**2 - 4*l + 0*l**2. Let g be f(-3). Solve g + 9 = 3*m for m. 4 Let x(p) = p**3 - 12*p**2 + p - 9. Let m(v) = -2*v**3 + v - 2. Let k be m(-2). Let o be x(k). Solve -a - 6 = -o*a for a. 3 Let a(m) = m**3 - 9*m**2 + 3. Let t be a(9). Solve 12 = -t*w + 6 for w. -2 Let s(i) = -i - 8. Let z be s(-6). Let p be -2 + (14 + 0)/z. Let f be (3/p)/(1/(-6)). Solve -7 = -5*w - f for w. 1 Suppose 0 = -5*d - 4*y - 0 + 20, 0 = -5*d - 3*y + 15. Let g = 2 - d. Solve 6 = g*q + q for q. 2 Let j(u) = 4 - 8*u + 9 - 1 - 2*u + u**2. Let n be j(9). Solve -d - n = -1 for d. -2 Suppose 3*l - 11 = 2*f, -4*f + 0*f - 2*l = -18. Suppose -j + f*j = 5. Suppose 4*q = -4*x + 76, q + 2*q - 53 = -2*x. Solve j = -2*z + q for z. 5 Let w(x) = -x**3 + 7*x**2 + 8*x + 2. Let g be w(8). Suppose s = 2*h + 8, g*h - 20 = -4*s + 4*h. Let u = s - 2. Solve -u*z - z + 12 = 0 for z. 4 Suppose 4*b + 5 = 1. Let z be b - (-2 + 2) - 12. Let j = z - -25. Solve m = 4*m - j for m. 4 Let d(k) = -3*k - 1. Let o be d(-2). Suppose -o*q + 2*q + 29 = 5*u, -5*u + 5*q = -45. Let x = u - 3. Solve x*l = -l + 5 for l. 1 Let u = 3 + 0. Suppose u*d = -0*d. Solve d*m = -3*m for m. 0 Let f be (2 + -4)/((-4)/10). Suppose -b = f*r - 10, 3*b = -5*r + 8 + 2. Let u be (27/6)/(15/40). Solve -u = -r*h - h for h. 4 Let f be (-115)/(-13) - (-48)/312. Solve 3*c + 0 = f for c. 3 Let s(m) be the second derivative of m**3/6 + 5*m**2/2 - 2*m. Let q be s(-6). Let t be q + 2 - (1 - 3). Solve f = -0*f - t for f. -3 Let i(w) = w**3 - 5*w**2 - 5*w - 4. Let c be i(6). Suppose t - c = -0*t. Solve t*r = -0*r for r. 0 Suppose -5*d + 17 = 4*k, -2*k = k + 3*d - 12. Solve -4 = -5*a + k*a for a. 2 Let f = 20 - 46. Let n = 41 + f. Solve 7*w = 2*w + n for w. 3 Let q(u) = -u**2 - 8*u + 2. Let t(f) be the second derivative of f**4/12 + f**3 - 3*f**2/2 - 3*f. Let s be t(-5). Let p be q(s). Solve -5*y + 4*y = p for y. -2 Suppose 0 = 19*a - 45 + 7. Solve 10 = 2*s + a for s. 4 Let u(g) = 7*g. Let w be u(3). Let k = -21 + w. Solve k = 5*p + 2 + 13 for p. -3 Let j be 2*((-260)/(-8))/(-5). Let t be (-2)/1 - (-54)/(-2). Let s = j - t. Solve -f = -5*f - s for f. -4 Suppose 4*o = 5*u - 29, 5*o + 10 = u - 0. Solve 0 = -0*x - x + u for x. 5 Let a(o) = -o + 4. Suppose 2*z + 5 = 5*u, 5*z + 5*u - 2 - 3 = 0. Let n be a(z). Solve n*x = 16 - 0 for x. 4 Suppose -37 = 4*h + 3*l, 9 = -0*l - 3*l. Let j(q) = q**2 + 7*q - 2. Let p be j(h). Let m = p - -10. Solve -5*u + 17 = -m for u. 5 Let g = -3 - -5. Suppose 0 = -5*d + d + 12. Solve -g*s = 3 + d for s. -3 Suppose -7*o = -3*o. Solve 2*v - v = o for v. 0 Let f(u) = -2*u + 8. Let i be f(3). Solve -i*y = -12 + 4 for y. 4 Suppose 0 = -3*t + 5 + 4. Let b be 2/8 + 225/(-20). Let h be -2*b/2*1. Solve -h = t*d - 5 for d. -2 Let i(p) = -p**3 + 10*p**2 - 8*p - 7. Suppose -4*q = -2*u - 2*u - 16, q + 1 = 2*u. Let g be i(q). Solve -2 = -2*d + g for d. 2 Let f = -183 + 186. Solve 9 + f = 4*v for v. 3 Suppose 0 = 2*s - 7 - 9. Suppose 2*k = s, 3*w - 36 = -w - 4*k. Solve w*f - 6 + 1 = 0 for f. 1 Let i(y) = y**2 - 8*y - 7. Let j be i(7). Let h be 4/(-14) - 74/j. Suppose -4*s = -2*z + h - 11, -5*z + 5*s + 5 = 0. Solve -5*k + z = -4*k for k. 5 Let j = 2 + -2. Let d = j + 4. Suppose 6 = 5*c - d. Solve -3*s + 3 = -c*s for s. 3 Let s(z)
{ "pile_set_name": "DM Mathematics" }
3 wrt w. -60 Let i(s) be the second derivative of -1/12*s**4 + 1/3*s**3 + 0*s**2 - s + 0. What is the second derivative of i(u) wrt u? -2 Let q = -11 + 16. What is the second derivative of 5*r**2 - q*r**2 + 0*r + 2*r - 7*r**5 wrt r? -140*r**3 Let r(x) = -21*x**3 - 3*x**2 + 3*x + 9. Let m(h) = -h**2 + h. Let s(z) = -3*m(z) + r(z). Find the first derivative of s(k) wrt k. -63*k**2 Let c(z) = 2*z**2 - 3*z + 4. Suppose -4*g - 6 = 18. Let d(r) = 3*r**2 - 5*r + 7. Let q(l) = g*d(l) + 10*c(l). What is the derivative of q(u) wrt u? 4*u Suppose -4*u = -u - 33. Let n(x) = 6*x**2 - 8*x + 11. Let d(s) = -2*s**2 + 3*s - 4. Let y(w) = u*d(w) + 4*n(w). What is the second derivative of y(f) wrt f? 4 What is the third derivative of 4*o**2 - o**3 - 2*o**2 + 9*o**3 - o**3 wrt o? 42 What is the third derivative of 3*c**4 - 9*c**2 + 3*c**2 - 2*c**4 + 5*c**2 wrt c? 24*c Let a(f) = f - 1. Let p(c) = -5. Let n(i) = 1. Let m(d) = 6*n(d) + p(d). Let z(b) = 2*a(b) + m(b). What is the first derivative of z(q) wrt q? 2 Let s(l) be the second derivative of -l**7/7 + l**4/12 + l**2/2 + 2*l + 11. Find the third derivative of s(b) wrt b. -360*b**2 Let f be (-1 + 6)/(0 - 1). Let a = 7 + f. Find the third derivative of n**6 - 2*n**2 + 0*n**6 + 0*n**a wrt n. 120*n**3 Let v(y) be the second derivative of 0*y**4 - 4*y + 0 + 0*y**3 - 1/4*y**5 - 2*y**2. Find the first derivative of v(b) wrt b. -15*b**2 What is the first derivative of -73*m - 3 - 44*m**4 + 73*m wrt m? -176*m**3 Let y(t) be the second derivative of 0 - t**3 + 4*t - 7/20*t**5 + 0*t**2 + 0*t**4. Find the second derivative of y(w) wrt w. -42*w Let b(x) = 36*x**2 - 8*x + 3. Let i(w) = 37*w**2 - 8*w + 2. Let u(y) = 2*b(y) - 3*i(y). What is the second derivative of u(q) wrt q? -78 Let l(q) = -q**3 - 7*q**2 - 9*q - 7. Let z be l(-6). What is the third derivative of z*o**2 - 3*o**6 + 4*o**6 + o**6 - 14*o**2 wrt o? 240*o**3 Find the first derivative of -7*s**3 - 5*s**3 + 9 - 2 - 4*s**3 wrt s. -48*s**2 Let g(b) be the third derivative of -2*b**2 - 1/60*b**5 + 0*b**3 + 0*b**6 + 0*b + 0 + 0*b**4 + 0*b**7 + 1/336*b**8. Find the third derivative of g(x) wrt x. 60*x**2 Let y(u) = 9*u**3 + 14*u. Let w(n) = -n**3 + n. Let h(v) = -6*w(v) + y(v). What is the second derivative of h(s) wrt s? 90*s Let u(s) = -2*s**4 + s**3 + s**2 - 1. Let z(j) = j**4 - j**3 - j**2 - 1. Let r(h) = -u(h) - z(h). What is the derivative of r(p) wrt p? 4*p**3 Let o(l) = -6*l**3 + 4*l**2 - 2*l - 1. Let h(y) = 11*y**3 - 7*y**2 + 4*y + 1. Let t(c) = -4*h(c) - 7*o(c). What is the second derivative of t(p) wrt p? -12*p Let m(q) = -1. Let h(f) = -8*f + 9. Let t(u) = h(u) + 2*m(u). What is the derivative of t(c) wrt c? -8 Let b = -122/3 - -41. Let h(u) be the second derivative of 0*u**5 - u - 1/30*u**6 + 0*u**2 + 0*u**4 + b*u**3 + 0. Find the second derivative of h(m) wrt m. -12*m**2 Let z = 14 + -12. What is the derivative of 4 + 0 + 1 - g**4 - z wrt g? -4*g**3 Let f(r) be the third derivative of 5*r**9/504 + 7*r**5/60 - 7*r**2. What is the third derivative of f(k) wrt k? 600*k**3 Let u(a) = -28*a**3 + 5*a**2 - a + 5. Let w(k) = -14*k**3 + 2*k**2 - k + 2. Let p(i) = 2*u(i) - 5*w(i). What is the second derivative of p(o) wrt o? 84*o Suppose 4*v + 16 = 4, 0 = 5*u + 2*v + 21. Let l be (-6)/(-2) - (u + 3). What is the second derivative of -6*o**l - 2*o**3 + 4*o**3 - 2*o wrt o? -24*o Suppose 0*f + f = 0. Suppose f = -l + 2*z + 9, 0 = -5*z - 5 - 5. Find the first derivative of 0*k**2 - 3 + l + k**2 wrt k. 2*k Let r = 3 - 1. Suppose -u = -r*u + 3. Find the second derivative of w**u - w**3 - 3*w**3 + w wrt w. -18*w Let t(m) be the first derivative of m**7/105 + m**5/24 - 7*m**3/3 + 3. Let l(i) be the third derivative of t(i). What is the second derivative of l(x) wrt x? 48*x Let f(l) = -l**2 + 5*l + 1. Let m be f(5). Let j be m/(-2) - (-1)/2. What is the third derivative of j*v**2 - v**3 - v**2 + 2*v**3 wrt v? 6 Let m(d) be the first derivative of -d**5/30 - d**4/24 + d**2/2 - 2. Let k(w) be the second derivative of m(w). Find the second derivative of k(t) wrt t. -4 Let d(c) be the first derivative of 2*c**4 - 2*c**2 + 26. Find the second derivative of d(x) wrt x. 48*x Suppose 5*o + 2*t = 27 + 3, 2*o = t + 3. Suppose d + 1 = 2. Differentiate -4*y**2 - 5*y**2 + o*y**2 + 2*y**2 + d wrt y. -6*y Find the third derivative of 33*q - q**2 - 49*q**3 - 32*q + 4*q**2 wrt q. -294 Let r be -2*(-2 + 1) - 2. Suppose 3*p + r*p = 9. Find the third derivative of m**p + 2*m**2 + 4*m**2 - 4*m**2 wrt m. 6 Find the third derivative of -4*j**4 - 23*j**2 + 29*j**2 + 3*j**4 wrt j. -24*j Suppose -5*l = -6*l - 2*s, -4*l = s - 14. Find the second derivative of -2*r - l*r**2 + 4*r - 3*r - 3*r**2 wrt r. -14 Suppose 2*w - 3*w + 3 = 0. What is the second derivative of 4*j - 7*j**3 - 9*j - w*j wrt j? -42*j Let c = 0 + -1. Let w = 3 + c. Find the third derivative of 0*r**w - 3*r**4 - 3 + 3 + 3*r**2 wrt r. -72*r Let c be 9 + 1 + -1 + 1. Suppose -2*k = 3*k - c. What is the derivative of -6*a**4 + 0*a**4 + 5*a**4 - k wrt a? -4*a**3 Let h(r) = -62*r**2 + 7*r + 13. Let o(i) = -31*i**2 + 3*i + 6. Let p(z) = -3*h(z) + 7*o(z). What is the first derivative of p(m) wrt m? -62*m Let b(n) = -n**2 + 6*n - 10. Let h(k) = 3*k**2 - 11*k + 19. Let t(i) = -11*b(i) - 6*h(i). Differentiate t(l) with respect to l. -14*l What is the third derivative of b**2 - 16 - 3*b**2 + 16 - 4*b**4 wrt b? -96*b Let b(o) be the first derivative of o**3/3 + 9*o**2/2 + 12*o + 1. Let r be b(-8). Find the second derivative of l**2 - l + l**r - l**2 wrt l. 12*l**2 Find the third derivative of -36*i**6 + 14*i**6 + 14*i**6 + 15*i**2 wrt i. -960*i**3 Let c(g) be the second derivative of -31*g**8/56 + 13*g**4/6 + 34*g. Find the third derivative of c(u) wrt u. -3720*u**3 Suppose 2*i = -3*t + 17, 0 = -i + t + 4*t - 11. What is the third derivative of o**2 + 2*o**4 + 3*o**2 + i*o**4 - 5*o**4 wrt o? 24*o Let m(n) be the third derivative of -n**7/105 - 23*n**5/60 + 41*n**4/24 + 38*n**2. Find the second derivative of m(p) wrt p. -24*p**2 - 46 What is the third derivative of 2*h**2 - h**2 - 10*h**3 - 6*h**2 wrt h? -60 Let x(t) be the first derivative of 3*t**4/2 + 3*t - 16. What is the derivative of x(a) wrt a? 18*a**2 Let k(d) = -d**4 + d**2. Let b(j) = -4*j**6 - 4*j**4 - 3*j**2. Let v(u) = -b(u) + 4*k(u). Find the third derivative of v(z) wrt z. 480*z**3 Let q(y) be the first derivative of -2*y**5/5 - y**3 + 2*y + 7. Let x(j) be the first derivative of q(j). Find the second derivative of x(s) wrt s. -48*s Find the second derivative of -111*o**2 + 5*o**4 + 111*o**2 - o wrt o. 60*o**2 Let v be 22/18 - 2/9. Find the second derivative of 1 + s**2 + s - v wrt s. 2 Let s be 7/(-2)*132/(-77). What is the third derivative of -s*y**2 + 4*y**6 - 3*y**6 - 3*y + 3*y wrt y? 120*y**3 Find the second derivative of 11*n - 13*n**2 + 2*n**5 + 20*n**5 + 13*n**2 wrt n. 440*n**3 Let q(f) be the third derivative of f**7/420 - f**6/90 + f**4/24 + 2*f**2. Let w(c) be the second derivative of q(c). Find the second derivative of w(j) wrt j. 12 Let n(p) be the first derivative of p**6/120 + p**4/24 - p**3 + 1. Let z(f) be the third derivative of n(f). Differentiate z(b) with respect to b. 6*b Suppose 0 = -4*n - 2*w + 2, n = -3*n + 4*w + 20. What is the third derivative of 0*v**2 + 2*v**3 + 3*v**n + v**3 wrt v? 18 Let b(q) be the third derivative of -q**7/42 - q**3/2 + 6*q**2. Differentiate b(x) wrt x. -20*x**3 Let i = 5 + -1. Let f = 8 + -3. Find the second derivative of -f*l + l - 3*l + i*l + l**4 wrt l. 12*l**2 Let n(j) be the third derivative of -j**6/15 - 4*j**3/3 - 5*j**2. Differentiate n(f) wrt f. -24*f**2 Let n(q) be the first derivative of -15*q**3 + 39*q**2/2 - 54. What is the second derivative of n(z) wrt z? -90 Let p(h) be the second derivative of -9*h**8/56 - 3*h**4/4 - 16*h. What is the third derivative of p(j) wrt j? -1080*j**3 Let a(c) be the second derivative of 7*c**5/20 + 11*c**2/2 - 5*c. Find the first derivative of a(t) wrt t. 21*t**2 Let g = 3 + -2. Let i = 3 - g. What is the first derivative of -1 + 3 + 0*z**2 - z**i wrt z? -2*z Let t(h) be the first derivative of -h**4/12 - h**3/2 - 2*h**2 - 2. Let o(k) be the second derivative of t(k). Differentiate o(y) wrt y. -2 Find the third derivative of 3*b**4 + 3*b - 4*b**2 + 34*b**2 - 3*b wrt b. 72*b Let h(i) be
{ "pile_set_name": "DM Mathematics" }
-43450.4. Let z = j - r. What is z rounded to 3 decimal places? -0.021 Let r = 80.9902 + 1.7798. Round r to the nearest ten. 80 Let c = -0.446 + 0.264. Let l = c - -0.18404. What is l rounded to 4 dps? 0.002 Let x = 1264909606.73999173 - 1264909594. Let v = 12.74 - x. What is v rounded to 7 decimal places? 0.0000083 Let d = 0.15295 - 0.182889. What is d rounded to 3 decimal places? -0.03 Let k = -259.793511896 - -17.793511152. Let c = k - -242. What is c rounded to seven dps? -0.0000007 Let d = -18324.99990197 + 18325. Round d to six decimal places. 0.000098 Let t = -4 + -12. Let b = 126.40975 + -142.4097708. Let w = b - t. What is w rounded to 6 decimal places? -0.000021 Suppose 5*r - 564476 = -h, 3*r + 776*h = 780*h + 338681. What is r rounded to the nearest ten thousand? 110000 Let n = 4757 + -584. Suppose -3*q + 5*s = -2, -q - q = s - 10. Suppose -5*u - n = q*a - 758, -a + 2*u - 857 = 0. Round a to the nearest one hundred. -900 Let v = -263.9 - 59.1. Let b = -323.000001716 - v. What is b rounded to 7 dps? -0.0000017 Let x = 2.0762568 - 2.0718. What is x rounded to 5 dps? 0.00446 Let s = -183997.156966 + 183997. What is s rounded to two decimal places? -0.16 Let b(i) = -4*i - 32*i - 5*i**3 + 4 - 14 + 2*i**2 - i. Let t be b(10). Round t to the nearest one thousand. -5000 Let m(z) = -5*z - 32. Let a be m(-7). Let o(c) = 3*c**2 - 8*c + 4. Let q be o(a). Suppose 1291 = -q*t + 3*t + p, -2*p = -4*t - 1294. Round t to the nearest 100. -300 Let j be (-580)/(4 - (-1)/48*-188). What is j rounded to the nearest 100? -7000 Let m = -0.026 + 1.956. Let i = m + -2.3389. What is i rounded to 2 decimal places? -0.41 Let c = 9.997 - 19.457. Round c to zero decimal places. -9 Let d = -732 - -631.8. Let r = 19944.3 - 19924. Let q = r + d. Round q to the nearest 10. -80 Let w = -16.53 + -54.17. Let g = w - -70.6999418. Round g to 4 dps. -0.0001 Suppose -n + 53 = 2*a, -3*n - n - 20 = 0. Suppose -a*q + 1238064 = -26*q. Let r = q + -121688. What is r rounded to the nearest 100000? 300000 Let q = 6469 - 6665.74. Round q to the nearest integer. -197 Let y = 33674 - 22671. Let t = y - 11068.01. Let u = 64 + t. What is u rounded to 1 dp? -1 Let w be 2 + 0 - 1 - (-9424 + 6). Suppose 37801 = 4*t + 7*p - 2*p, -5*p = -t + w. Let r = t - 5244. Round r to the nearest 1000. 4000 Let w = -12603 - -64802. Suppose c + w = 3*p, -5*p - 4*c = -6*p + 17396. Round p to the nearest 1000. 17000 Let n = 18760.355 - -365.745. Round n to the nearest 1000. 19000 Let w = 5564.0774 - 5562. What is w rounded to one decimal place? 2.1 Let h = -1.1206 + -35.8974. What is h rounded to one decimal place? -37 Let h = 5565.4 - 5564.92561. Let b = -0.478 + h. What is b rounded to four dps? -0.0036 Suppose -2*p - 9 = 5*l, 19*p - 16*p + 5*l + 6 = 0. Suppose 31500 = -3*y + 7*t - 10*t, -5*y - 52500 = p*t. What is y rounded to the nearest 1000? -11000 Let d = -0.81476 - -0.04736. What is d rounded to one decimal place? -0.8 Let b be 27/12*16/6. Let y be (-50586)/9 - b/(-9). Round y to the nearest 1000. -6000 Let y = -36369 + 36419.295. What is y rounded to 1 dp? 50.3 Let j = -273 - -322.5. Let c = -2041944695.5 + 2041944745.000000742. Let x = j - c. What is x rounded to seven decimal places? -0.0000007 Let j = -48827 + -56830. Round j to the nearest 10000. -110000 Let m = 778.916 + -779. Let h = -0.1812 - m. What is h rounded to 2 dps? -0.1 Let r = -2.53 - -2.885. Let w = -0.721 + r. What is w rounded to 2 decimal places? -0.37 Let m = -20.79926 + -0.00074. Round m to the nearest ten. -20 Let k = -22.43387 + 123.42457. Let z = 101 - k. Round z to three dps. 0.009 Suppose -2*f + 1186850 = c, -2*f + 4*f + 3*c = 1186854. Let z = -348830 + f. Suppose -z = 10*n - 14594. What is n rounded to the nearest ten thousand? -20000 Suppose 12 = 8*g - 5*g. Suppose -p - g*a + 2 = -3*p, -5*p + 19 = 2*a. Suppose p*t + 580 = 4*t. Round t to the nearest 100. 600 Suppose 0 = -5*q - 92417134 - 36443566. Let f = -12472140 - q. Round f to the nearest one million. 13000000 Let o = 13.85 - 0.43. Let n = o - 0.02. Round n to 0 dps. 13 Let f = -3367 + 4757.8. Let t = f - 1268. What is t rounded to the nearest ten? 120 Let z = -3188.373125 + 0.073125. Let d = z - -3014. What is d rounded to the nearest 10? -170 Let y = 6515 + -10947. Let s = 1097 - y. Suppose 0 = 5*x + 2129 - s. Round x to the nearest one hundred. 700 Let v = 6500.5 - 6501.16054. Let c = v + 0.66. Round c to 4 decimal places. -0.0005 Let j = -168 + 78. Let p = j - -51. Let y = p + 39.0000244. Round y to 6 dps. 0.000024 Let u = 0.699 + 0.053. Round u to 1 dp. 0.8 Let q = -0.235 - -10.535. Let v = -11.7 + q. Let k = v + -0.64. Round k to zero dps. -2 Let o = -51.2 + 52.041. Let m = o + -0.84063. Round m to 3 dps. 0 Let b(l) be the second derivative of -227*l**4/3 - 37*l**3/2 - 8*l**2 + l - 16. Let w be b(12). What is w rounded to the nearest 10000? -130000 Let a = -91.039996582 - -91.04. What is a rounded to seven dps? 0.0000034 Let r(w) = 13*w - 38 + 30 - w**2 - 32. Let h be r(8). Suppose -3*z + k - 1770000 = h, -2*k = 3*z - 5*k + 1770000. What is z rounded to the nearest 100000? -600000 Let c = 9.0462585 - 9.044. Round c to five dps. 0.00226 Let l = -304 - -460. Let z = l + -89. Let w = -67.000001 + z. Round w to 5 dps. 0 Let a = -0.482 + 236.482. Let z = -168 + a. Let l = z + -68.000025. Round l to five dps. -0.00003 Let d = -23.1 + 705.1. Let t = d + -681.719. What is t rounded to 1 decimal place? 0.3 Let n = 1192.4 - 1244.25. What is n rounded to the nearest ten? -50 Let l(b) = -12*b + 5*b**3 - b**3 + 19*b**2 - 11*b + 16. Let c be l(16). Let y = c - 31196. What is y rounded to the nearest ten thousand? -10000 Let q = -81506.477 + 81467. Round q to 0 dps. -39 Let m = -48.1164 + 0.0164. Let k = 326.1 - 347. Let u = k - m. What is u rounded to zero decimal places? 27 Suppose 3*c = 4*z - 934520, c + z = -87265 - 224230. Round c to the nearest one thousand. -312000 Let f(r) = 4011*r**2 + 109. Let p = 366 + -357. Let v be f(p). What is v rounded to the nearest 100000? 300000 Let f = -208 - -208.107. Let j = 1.203 + f. What is j rounded to one dp? 1.3 Let f = -1841 + 1841.813. Let d = f + -0.013. Let h = d - 0.80136. Round h to 3 dps. -0.001 Let v(c) = 6940*c - 8. Let p be v(1). Suppose -4*t - 3*b = -2*b - 27722, 0 = -t - b + p. Round t to the nearest 1000. 7000 Let a = 562.0603 + -0.0603. Let b = a - 548.22. What is b rounded to zero dps? 14 Let w = 1.4371 + -2.015. Let t = 2.9309 + w. Round t to one dp. 2.4 Let f = 5961.24 + -6155. What is f rounded to the nearest 10? -190 Let y = 4956.1 + -4956.028978. Let i = 3457.929 - 3458. Let k = i + y. Round k to five decimal places. 0.00002 Suppose 5*h = 19 - 9. Suppose 0 = 3*u - h*z - 4 - 15, 2*u - 2*z - 14 = 0. Suppose 3*q - 2*s - 3302 = 0, q + u*s - 1096 = s. Round q to the nearest one hundred. 1100 Let i = 346.99111 + -26767911.99111. Let r = -26767716.00127 - i. Let k = 151 + r. What is k rounded to 4 decimal places? -0.0013 Let f = 0.09 - 125.09. Let y = -173059 + 172934.199. Let n = y - f. Round n to two decimal places. 0.2 Let y = 196.7078525 + -1336756575.7078525. Let h = y + 1336756375.789999598. Let b = -3.21 - h. What is b rounded to seven dps? 0.0000004 Let l be ((-123)/(-164))/((-6)/(-1384)). Round l to the nearest 1000. 0 Suppose 194*i + 2454120 = 378*i - 188*i. What is i rounded to the nearest one thousand? -614000 Let f = 1067 + -949.4. Let y = 117.7382 - f. Round y to two dps. 0.14 Let i = -40 + 40.0109. Let r = 200.9891 + i. Let y = -200.999757 + r. What is y rounded to 5 dps? 0.00024 Let y(n) = -181*n - 6007. Let g be y(97). Round g to the nearest 1000. -24000 Let p = -33972.0096282 + 33972. What is p rounded to three decimal places? -0.01 Let d = -0.1569 + 0.15690242. Round d to 5 dps. 0 Let x = 41 + -94. Let r = -53 - x. Suppose -16*i + 11*i + 13000000 = r. Round i to the nearest 100000. 2600000 Let r = 327.388 + -327.31794708. Let s = r - -0.0179483. Let v = s + -0.088. Round v to 7 decimal places. 0.0000012 Let h = 124.223 - 0.223. Let t = 19557.635 - 19681. Let x = h + t. Round x to 2 decimal places. 0.64 Let i = -0.0351 - -3.1471. Let a = i - 3. Let p = -3.128 - a. What is p rounded to one dp? -3.2 Let f = 416 + -416.0366. Let w = f - -119.5366. What is w rounded to the nearest ten? 120 Let c =
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = -0*n - 2*n + 8. Let t = -3 + n. Is t > g? True Let b(l) = -2*l + 6. Let t be 3/18 + 22/12. Let x be b(t). Let z be -16*(21/(-9) + x). Which is greater: z or 0? z Let k = 0.1 - 0.3. Let g = 55573 - 55574. Are k and g non-equal? True Let j be (-1)/(4/4496*-4) + -8. Is 29 greater than or equal to j? False Let s = -7973 - -23915/3. Let r(z) = -z**2 - 6*z + 6. Let u be 14*2/4*-1. Let n be r(u). Is s bigger than n? False Let s = -216133/135 - -1601. Which is smaller: 0 or s? 0 Let q = 14/1425 - -3673/61275. Which is bigger: q or -1/4? q Let h(w) = w**2 + 11*w - 76. Let t be h(5). Which is greater: 202/41 or t? 202/41 Let w = 2074 + -1296. Suppose 3*j - w = j. Let q = 1583/4 - j. Which is smaller: 8 or q? q Let s = -13881 - -13922. Is -100 > s? False Let m = 231 + -243. Let g be m/(-84) + (-20)/(-7). Is g >= 90/31? True Suppose -27*w - 38032 = -23*w. Let a be -4*4/(-72) + w/99. Let y = a - -96. Which is smaller: 1 or y? y Let l = -0.6241 - -0.8241. Is l at most -91.31? False Let i = 91.008 - 0.008. Let q = 90.96 - i. Is q >= 1? False Let k = 20/3077 + -2175499/9231. Do -237 and k have different values? True Let d = -2442 + 1731. Suppose 3*i + 5*q = -2120, 314*i - 311*i + 2126 = -2*q. Which is bigger: d or i? i Let c = 1 - 164. Let l = c - -70. Is -92 bigger than l? True Suppose -4*k - 4*r + 15676 = 0, r + 8863 = 3*k - 2878. Do 3915 and k have different values? False Let n be (((-448)/144)/(-14))/(10/15). Is 10159 at most as big as n? False Let w be (1 - 3)*(-6)/2. Suppose 3*b = w*b - 48. Let i be (12 + 2)*8/7. Is b at most i? True Let m = 25493 - 26323. Is m at most as big as -4146/5? True Let k be (5 + (-77)/14)/(7/126). Is k < 285? True Let n = -0.356 - 380.644. Let i = n + 380.9. Is i equal to -2/15? False Suppose 3*a - 49 - 5 = 0. Let i = -46 + -10. Let k = i - -75. Is a greater than or equal to k? False Let g be ((-6)/15)/((-1)/25). Let y(f) = -12*f + 14. Let n be y(1). Suppose 152 = n*a - g*a. Are -18 and a nonequal? True Let y be (-3)/(-81)*-6 - 33076*3/1080. Is -93 greater than y? False Suppose 5*y - y = -108. Let i = y - -33. Let t be -4*(-6)/8*4/i. Is 3/2 >= t? False Let x = 644 - 25114/39. Let j(k) = k + 17. Let y be j(11). Let l be 3/(-4) + y/16. Is x <= l? True Let z = -146063/63 - -1142/63. Let r = z + 2281. Which is bigger: r or -19? -19 Suppose 7*o + 10 = 24. Suppose 2*a + 306 = -2*s, 547 - 81 = -3*s + 4*a. Let i be s/(-5049) - o/(-17). Which is greater: i or 1? 1 Let m = 28 - 33. Let u = m - 0. Let z = -5 - 2. Is u bigger than z? True Let r = 5835 + -5834.1. Is r less than or equal to -0.244? False Suppose -b = g + 30, 0 = -0*b + b + 5. Suppose 84*c = 67*c - 514 + 38. Which is smaller: g or c? c Let f be -4 + (-12)/(-54) + (-250833)/135. Let i = -1856 - f. Does i = 6? False Let p be 148 + (-29 + 5)/(-4). Is 160 equal to p? False Let n = 97344/17 + -5726. Which is smaller: n or 10? n Suppose 0 = -14*m - 64*m + 468. Suppose 0 = -4*d - 5*l + 30, -24 = -4*d - 2*l - 0*l. Let c = 15 - d. Do m and c have different values? True Suppose -4*s + 62 = -106. Suppose -5*k + 150 = 5*c, 0 = 4*k - 4*c - s - 110. Let q be (-43 - 1)*(-3)/4. Which is smaller: q or k? q Let a be ((-12)/(-96))/((-13)/(-27352)). Is a at most 257? False Suppose 4*m + 0*m - 879 = -67. Does 202 = m? False Suppose -7*p - 48 = -1231. Let v = p - 168. Let w be (-147)/(-14)*(-3)/(-28). Which is bigger: w or v? w Suppose 3*k + 6 = -82*i + 81*i, 0 = 3*k + 5*i + 30. Is 35/146 greater than or equal to k? True Suppose b - 3*r = 27, 5*r + 6 + 4 = 0. Suppose -26*i = -b*i - 60. Let u be i/48 + (6/8)/(-3). Are -2/13 and u nonequal? True Let u = -29217 - -29224. Which is bigger: 447 or u? 447 Let b = 0.088 - -154.912. Let v = -154.923 + b. Let u = -0.113 + v. Is 1/2 < u? False Let z be 0/1 + 24/2. Let i(u) = u**3 + 13*u**2 + 38*u + 22. Let r be i(-9). Let y be ((-8)/z)/(r/54). Which is greater: y or -8? -8 Let v = -493.918 + 494. Let c = v + -0.193. Which is smaller: c or 2? c Let j = 13 + -17. Let w be -43 - -1*(-1 - j). Suppose -4*h - 39 = -3*m + 4*m, m - h = -39. Is m at most w? False Suppose 97*o - 103 = 8 - 14. Is o bigger than 13/144? True Let x be (729710/387)/((-10)/(-12))*9/(-6). Is -3393 at least x? True Let d(r) = -339*r**2 - 191*r - 925. Let i be d(-5). Which is greater: i or -8446? i Let p = 15/126968 - -231257/2341416888. Is p >= 1? False Let i = -5.07 - -10.01. Let r = i - 0.94. Is 9 greater than r? True Let p be ((-6)/(-18))/((-2)/(-30)) - 1. Suppose 4*q - p*k - 60 = 0, -6*k = -7*k + 1. Is q less than 17? True Let s be -1 - -7*1/6. Let c(z) = z**2 - 11*z - 10. Let v be c(10). Let n be (-18)/v - 2/(-20). Are s and n equal? False Suppose -1333*u + 11286 = -1360*u. Which is bigger: -421 or u? u Let l = 6958 - 6957. Is 3/716 less than l? True Let t = 507 - 2547/5. Let j = 35 + -42. Let i be (j/(-14))/((-1)/2). Which is greater: t or i? i Suppose -3*m = -6*m + 6. Let s be 8516/(-60004) - m/(-14). Let y = 72872/10715 - s. Is 6 less than y? True Let n be (2 - 4)*(-134)/(-4). Let o be 1/((-6)/399) - (-78)/52. Are n and o unequal? True Let x(s) = 4*s**2 - 194*s + 1887. Let f be x(35). Suppose -5*d - 1 = 29. Is d greater than or equal to f? False Suppose 4*l = 5*n + 252, -2*n - 31*l - 87 = -28*l. Suppose -2*g + c = 48, 5*g + 2*c = 3*c - 117. Let j = g - n. Is j > 25? False Let v(a) = a**3 - 6*a**2 + 87*a - 1. Let b be v(15). Which is bigger: 3327 or b? b Suppose 2 = 5*p + 82. Suppose 0 = -6*z - 6*z - 204. Let y be (-2)/(-6)*(-30)/(-10)*z. Which is greater: p or y? p Let t = -45 - -45.42. Let l = 0.31 + -0.71. Let d = l - 0.6. Is t greater than d? True Let u be 1/10585*-11*90/(-396). Which is smaller: 1 or u? u Let s(f) = -f**2 - 7*f + 4. Let c be s(-7). Suppose 0 = -3*j + 55*j + 208. Let y be (2/j)/(2/c). Which is smaller: y or -67? -67 Let u = 150 - 137. Suppose -5*h = -u*m + 18*m - 235, -2*m + 4 = 0. Which is smaller: 47 or h? h Suppose -30*k + 33*k = -3*f + 57, -2*k + 30 = 4*f. Which is greater: k or 13/4? k Let i = -5598890/323 - -17334. Which is smaller: -1 or i? -1 Let l = -4 + 4.1. Suppose 83*w = 60*w + 29 - 6. Is w less than l? False Let w = 33.05 + -61.39. Let i = 28 + w. Let y = i - -1.34. Which is greater: y or 0.2? y Let d be 11/210 - (-29 + 7350/252). Let v = 2 + -1. Which is smaller: v or d? d Let f(c) = 3*c**2 - 118*c + 101. Let n be f(39). Which is bigger: n or 84? 84 Let y be 2*(0 + 1 + (-364)/1). Which is smaller: -725 or y? y Let p be 7 - (15 + 1595468/(-199430)). Is p > 1? False Let f = 59 - 1. Let s(j) = 66*j - 339. Let x be s(6). Which is greater: f or x? f Let v = -4140 - -33057/8. Suppose -17*x = -22*x + 40, 5*x = 3*n + 64. Is v smaller than n? False Let o = -284.02 - -284. Let r = 0.32 + o. Is 8 greater than r? True Let t = 63 - -46. Let d = -69 + t. Which is bigger: d or 41? 41 Let a be ((-3)/(-6)*0)/(-1). Let s = -4332280 + 121290201/28. Let u = s - -487. Is a > u? True Let b = -6671 - -6640. Is b less than or equal to -61? False Let w = 50.942 - 51. Let g = -3.295 - -3.095. Which is bigger: w or g? w Let o = 1450 + -1372. Which is greater: 2/63 or o? o Suppose -3*l = -0*l - 405. Suppose -2*i + v = -i + 42, -3*i - l = 6*v. Which is smaller: i or -39? i Let j = 27983 - 27983. Is j less than -22795? False Let q = -449 - -464. Suppose q = 4*v + 5*b, -3*v - 9 = -b - 6. Is -2/11 bigger than v? False Let k = -6.6 - 4.8. Let x = -11.6 - k. Let r = -0.95 - 0.05. Is x less than r? False Let p = 531533/39 + -13626. Which is greater: 4 or p? 4 Let w = 937 + -886. Suppose -39*t = -w*t. Is -2/871 equal to t? False Let n be 116/6*498/(-5). Let i = -3601 + 5520. Let k = n + i. Is -6 less than or equal to k? False Let q be (-1)/(9/2) + 1292/(-18). Let d be (1160/q - -15)*(-66)/4. Which is bigger: 18 or d? d Let y = 22.55 + -22. Let u = 1.56 + -2.01. Let q = y - u. Is 6 greater than or equal to q? True Suppose -5*v = x - 25, -2*v = -30*x + 29*x - 3. Suppose -2*c = -c - 4*r - 121, 4*c = v*r + 424. Which is bigger: c or 2/7? c Suppose 6*v - 24*v + 518 = -55*v. Let h = 0 - 8. Which is greater: h or v? h Let k = 0.3 + 2.2. Let t = k - 2.3. Which is smaller: t or 14? t Let u be (-22913)/44 + (-24)/48. Which is greater: u or -521? -521 Let x = 8 + -8. Let n = -974625/2 - -728046499/1494. Let d = n + -10/9. Which is greater: d or x? x Let t(i) = -i**2 - 4*i + 17.
{ "pile_set_name": "DM Mathematics" }
-0.09443, 1/14, 2 in descending order. 2, 1/14, -0.09443 Sort 605, -17535, 3 in descending order. 605, 3, -17535 Put -2, -11, -6/5, -1822, 5/4 in ascending order. -1822, -11, -2, -6/5, 5/4 Put -15/487, 32, -0.05, 2/3, -2 in decreasing order. 32, 2/3, -15/487, -0.05, -2 Put 115, 1007, -5, -6, 0, 3 in decreasing order. 1007, 115, 3, 0, -5, -6 Put -365, 10, 2/7, -2, 0.3 in ascending order. -365, -2, 2/7, 0.3, 10 Put 456, 13, 736, 5 in descending order. 736, 456, 13, 5 Sort -74, -2, -106, 0, -5, -3, -34 in decreasing order. 0, -2, -3, -5, -34, -74, -106 Sort 2/1747, -12/35, 0.48, -5. -5, -12/35, 2/1747, 0.48 Put -20, -13, -3144, 56 in descending order. 56, -13, -20, -3144 Sort -41, -4, -2, 3061. -41, -4, -2, 3061 Sort -3, 0, 214, 5, 3, 14 in descending order. 214, 14, 5, 3, 0, -3 Put -3, 174085, -2.3, -2/25 in ascending order. -3, -2.3, -2/25, 174085 Sort 2747, 0, -8, 2 in decreasing order. 2747, 2, 0, -8 Put 24145, 0, -1.3, -4, -6 in descending order. 24145, 0, -1.3, -4, -6 Put 2, -8572, 20, 1, 5 in increasing order. -8572, 1, 2, 5, 20 Sort 0, -1, 580, -334. -334, -1, 0, 580 Sort -1/2, 2/6591, 1, 0.2, 3. -1/2, 2/6591, 0.2, 1, 3 Sort -325, -1, -4, -51, 2, -5 in increasing order. -325, -51, -5, -4, -1, 2 Sort 0, -4/2961, 36/11, -3/19, 2 in decreasing order. 36/11, 2, 0, -4/2961, -3/19 Sort -1/3, 112, 0.011, 77 in descending order. 112, 77, 0.011, -1/3 Put 26, 141734, 3, -13, 5 in ascending order. -13, 3, 5, 26, 141734 Sort 2, -1, 4, -3, 1, 1303 in decreasing order. 1303, 4, 2, 1, -1, -3 Sort 0.1, -2, -0.1, 27, 3016. -2, -0.1, 0.1, 27, 3016 Sort 2, 6, -56, -2, -70, 0 in descending order. 6, 2, 0, -2, -56, -70 Put 2, -4, 4, 1/1287, -2, 85/7, 5 in descending order. 85/7, 5, 4, 2, 1/1287, -2, -4 Put 4, 436, -3/5, -2/87, 0, -3, 7 in descending order. 436, 7, 4, 0, -2/87, -3/5, -3 Sort -4, 0, -3, 31, 572 in decreasing order. 572, 31, 0, -3, -4 Sort -24, 10, -2591, 12 in descending order. 12, 10, -24, -2591 Sort 4, 90, -4, 5, 1, 531 in descending order. 531, 90, 5, 4, 1, -4 Put 155876, -5, -2 in descending order. 155876, -2, -5 Put -4852634, 1, -4 in increasing order. -4852634, -4, 1 Sort 2, -2.04, 11/2, -95/4 in increasing order. -95/4, -2.04, 2, 11/2 Sort -0.04, -0.8675, 0.24. -0.8675, -0.04, 0.24 Put 3, -24934, -6, 4, -24 in descending order. 4, 3, -6, -24, -24934 Sort 4, -14, 531, -1887 in descending order. 531, 4, -14, -1887 Put -1718578, -5, -1 in decreasing order. -1, -5, -1718578 Put 14, -90, -38, -4 in descending order. 14, -4, -38, -90 Put 7, 166, 23, 1, -156 in decreasing order. 166, 23, 7, 1, -156 Sort 0.05, 3/52, 180, 2/13, 2, -1/5 in descending order. 180, 2, 2/13, 3/52, 0.05, -1/5 Sort -13/3, -1, 15/4, -10, -3, 89 in decreasing order. 89, 15/4, -1, -3, -13/3, -10 Sort 0, -5.37, 3474 in decreasing order. 3474, 0, -5.37 Put 130503, -3, 428 in increasing order. -3, 428, 130503 Put -5, 87425, 5 in decreasing order. 87425, 5, -5 Put 0.810099, -2, -0.3 in ascending order. -2, -0.3, 0.810099 Put 4, 39, 261, -4, -23 in decreasing order. 261, 39, 4, -4, -23 Sort -19, 10, -133/31, 1/10, 3, 3/8 in increasing order. -19, -133/31, 1/10, 3/8, 3, 10 Put 170, 0.4497, 2 in descending order. 170, 2, 0.4497 Put -1.1, 429.6, 2, 0, -0.4, -2/13 in ascending order. -1.1, -0.4, -2/13, 0, 2, 429.6 Put -4, -2, 90, -754, 5, -3 in increasing order. -754, -4, -3, -2, 5, 90 Put -4/7, 997891, -5, -2 in ascending order. -5, -2, -4/7, 997891 Put 7, 184, 21, 4, -1 in descending order. 184, 21, 7, 4, -1 Put -1, 8, 20818, 4, -2, 1 in increasing order. -2, -1, 1, 4, 8, 20818 Sort 0, 4, -679, -10, -3, 1, 2. -679, -10, -3, 0, 1, 2, 4 Sort -277264, 5, 4, -2, -3 in increasing order. -277264, -3, -2, 4, 5 Put 0.101, -1/3, -49.36 in ascending order. -49.36, -1/3, 0.101 Put 2, 4, -3.5, 0.1, -177, 20 in descending order. 20, 4, 2, 0.1, -3.5, -177 Put 5, -2, -3, 2, -45, 25, -158 in ascending order. -158, -45, -3, -2, 2, 5, 25 Put -0.06, 1408739, 1/5, -1/2 in decreasing order. 1408739, 1/5, -0.06, -1/2 Sort -108, -6643, -29 in descending order. -29, -108, -6643 Put 5086, -1/6, 517 in increasing order. -1/6, 517, 5086 Sort -6, 0, -31481, 3 in descending order. 3, 0, -6, -31481 Sort 1380, -160, 2, 7, 3 in increasing order. -160, 2, 3, 7, 1380 Sort -28, 2, 318326 in descending order. 318326, 2, -28 Sort -3, -1/15, -5/6, 1/122, -12. -12, -3, -5/6, -1/15, 1/122 Put 1, -41, -29, 54 in descending order. 54, 1, -29, -41 Sort 0, -2266, -437 in descending order. 0, -437, -2266 Sort 8/17, 3/4, -23.9552, -5. -23.9552, -5, 8/17, 3/4 Put 92, -3, -1, -11, -652, -4 in ascending order. -652, -11, -4, -3, -1, 92 Put 3, -14, 133, 1 in descending order. 133, 3, 1, -14 Sort -118, -221, 0.133, -5. -221, -118, -5, 0.133 Put -127, -2, 5, -57, 32, -4 in descending order. 32, 5, -2, -4, -57, -127 Put -1, -34, -5, -3, -27, -25, -2 in increasing order. -34, -27, -25, -5, -3, -2, -1 Sort -4, -2, -33, 4, -3, -153885 in ascending order. -153885, -33, -4, -3, -2, 4 Put 0.3, -284679, -1/44 in increasing order. -284679, -1/44, 0.3 Sort 212, -1222, 0 in decreasing order. 212, 0, -1222 Put -0.0709, 0.5, -5, -908 in descending order. 0.5, -0.0709, -5, -908 Sort 3, 4, 5, -0.0638, -1, 1694 in increasing order. -1, -0.0638, 3, 4, 5, 1694 Sort 2, 2/43, -0.6, 0, -6.1, 9 in increasing order. -6.1, -0.6, 0, 2/43, 2, 9 Sort 5, 9, -4, -2, -96, 1, 3. -96, -4, -2, 1, 3, 5, 9 Sort 5, 26, -608559. -608559, 5, 26 Put 1.994, 1/64, -1.9 in ascending order. -1.9, 1/64, 1.994 Sort 394, 2, 551, -1, -2 in descending order. 551, 394, 2, -1, -2 Sort 1, 14, -4, 3, 1294 in descending order. 1294, 14, 3, 1, -4 Put 4, 0.3, 4/7, -0.66, 1.07, -24 in ascending order. -24, -0.66, 0.3, 4/7, 1.07, 4 Sort -2, -120, -1, 12, -4, 26, -21. -120, -21, -4, -2, -1, 12, 26 Sort -3, 1757462, 3, 0 in ascending order. -3, 0, 3, 1757462 Sort 5, -1, -5, -29, 2, -3544, -2 in ascending order. -3544, -29, -5, -2, -1, 2, 5 Put 154, 96, -14 in increasing order. -14, 96, 154 Sort 558, -70, 5 in decreasing order. 558, 5, -70 Sort 6, -147, -1, -919 in ascending order. -919, -147, -1, 6 Put 171771, 3, -78, -7 in decreasing order. 171771, 3, -7, -78 Put 2, -5, -6, -22, -2652, -3 in decreasing order. 2, -3, -5, -6, -22, -2652 Sort -9, 0.2, -3/7, -2/5, 127244 in decreasing order. 127244, 0.2, -2/5, -3/7, -9 Sort -29, 60, -4, 5, -2, 34. -29, -4, -2, 5, 34, 60 Put 129, 58, 15.53 in descending order. 129, 58, 15.53 Put -260, 5, 18, -9 in decreasing order. 18, 5, -9, -260 Sort -1, 127, -12, -5, 0, 2391, 2 in descending order. 2391, 127, 2, 0, -1, -5, -12 Sort 1, 0.535, -2.6, 82 in decreasing order. 82, 1, 0.535, -2.6 Sort 2/3, 35/108, -5 in increasing order. -5, 35/108, 2/3 Put 4, -489, 13, 0.02, 0.3, -0.06 in decreasing order. 13, 4, 0.3, 0.02, -0.06, -489 Put 778, -5, -3, 3, -121 in decreasing order. 778, 3, -3, -5, -121 Sort 4, -17, 2, -4, 40 in descending order. 40, 4, 2, -4, -17 Sort -50, -64635, -5 in decreasing order. -5, -50, -64635 Sort -18, -123, 9, 20, 5 in ascending order. -123, -18, 5, 9, 20 Sort -1, -679, 46139 in descending order. 46139, -1, -679 Put -14466, 23, -14 in decreasing order. 23, -14, -14466 Put 1, 2313, 208, -4 in decreasing order. 2313, 208, 1, -4 Put -5, -18, 0, 2, 5, 1823, -3 in descending order. 1823, 5, 2, 0, -3, -5, -18 Put 1, -1, 5/4, -3, -30, -2 in decreasing order. 5/4, 1, -1, -2, -3, -30 Sort 28, -7022, 10. -7022, 10, 28 Put 42, 21, 4, -37 in decreasing order. 42, 21, 4, -37 Put 18, 26484, 3, 33 in descending order. 26484, 33, 18, 3 Sort 2/11, 3399781/4, -4, 0.4 in decreasing order. 3399781/4, 0.4, 2/11, -4 Sort -6, -13152, 1542. -13152, -6, 1542 Sort -2, 8/15, 251, -0.01, 128 in decreasing order. 251, 128, 8/15, -0.01, -2 Sort -1262, -6117, -1/6 in increasing order. -6117, -1262, -1/6 Sort 4, 303, -6, 1429. -6, 4, 303, 1429 Sort -25, 5, 17, -13, 84 in increasing order. -25, -13, 5, 17, 84 Sort 2/11, -7.6, 3/56, 0.3, -2.5. -7.6, -2.5, 3/56, 2/11, 0.3 Sort 0, -862, 1813, 5 in descending order. 1813, 5, 0, -862 Sort -4, -137, -1396, -44, 2, 3 in increasing order. -1396, -137, -44, -4, 2, 3 Sort 0, 0.79834, 5. 0, 0.79834, 5 Put 237, -15, 56, -1 in decreasing order. 237, 56, -1, -15 Sort 4, 85, -4, -5, -10, 61, -2 in increasing order. -10, -5, -4, -2, 4, 61, 85 Sort -1/3, -54/6133, -30, 0 in descending order. 0, -54/6133, -1/3, -30 Sort 1, -5021
{ "pile_set_name": "DM Mathematics" }
the common denominator of 0 - 101/4 - (-8 + 6) and 29/16. 16 Let w(s) = -s - 28. Let z be w(0). What is the common denominator of (2/4)/((-16)/(-126)) and z/(-3) - (-3)/(-12)? 48 Calculate the common denominator of (1/24)/(-4 + (-18837)/(-4716)) and -35/146. 1314 Suppose x = -0*x. Suppose x = 5*g + 265 - 30. Let z = -4393 - -48291/11. What is the common denominator of g and z? 11 Find the common denominator of (-54)/24*68/(-6) and 302/72*(2 - 0). 18 Let k be (9/(-12))/((-2)/56). Let b be ((-3)/21 + 1)*k. Calculate the common denominator of 6/2*47/b and 17/16. 48 What is the common denominator of -25/4 and (2 - 1) + 1050/196? 28 Let u = 1 + 0. Let d(k) = -4*k - 1. Let r be d(-9). Calculate the smallest common multiple of u and 290/r + (-2)/7. 8 What is the common denominator of 150/4 - (8 - 11 - -3) and 2015/(-400) + (-4)/10? 16 Let x(b) = -19*b - 4. Let t be x(9). What is the lowest common multiple of 2/(-4) - t/14 and 6? 12 Let p(h) = 11*h**2 + 7*h + 6. What is the smallest common multiple of 22 and p(-2)? 396 Let q(t) = t**3 - 8*t**2 + 9*t - 5. What is the lowest common multiple of 3 and q(7)? 9 Let w(l) = l + 7. Let d(j) = -13 + j**2 - 3*j**2 + j**2 - 12*j + 6. Calculate the lowest common multiple of w(-3) and d(-9). 20 Let u(d) = 8*d + 4. Calculate the lowest common multiple of 4 and u(2). 20 Suppose 4*n - 48 = -0*n. What is the smallest common multiple of n and 28? 84 What is the smallest common multiple of 1 - -1 - (-21 - -22) and 14? 14 Let d(n) = 4*n + 17. What is the least common multiple of 20 and d(7)? 180 Suppose -3*v + 27 = -m, -8*v + 45 = -3*v + 4*m. Suppose -8 = 49*s - 204. What is the smallest common multiple of s and v? 36 Let f = -2/109 - -9487/218. Let d = -1332/35 + 286/7. Calculate the common denominator of f and d. 10 Let y = -28/613 + 35084/16551. Calculate the common denominator of y and 85/18. 54 Let y = 405220/19 - 21334. Let m = -402/95 - y. Find the common denominator of 36/11 and m. 55 Let d = 5 + -3. Suppose 0 = 2*c + d*c - 8. What is the lowest common multiple of c and 11? 22 Let b = -3883/8 + 475. What is the common denominator of -63/8 and b? 8 Let g = 125 + -123. What is the smallest common multiple of (-8)/20 + 74/10 and g? 14 Let i = -1/915 + 6812/305. Let m = -23263/7 - -3317. Calculate the common denominator of i and m. 21 Suppose 2*k + 2*k = 16. Let t(f) = -8*f**3 - k*f + 3*f + 2*f + 1. What is the least common multiple of 10 and t(-1)? 40 Calculate the common denominator of -6 + 6 + (-75)/(-22) and (1/(-2))/(6/109). 132 What is the common denominator of (-1521)/(-1560)*(-4)/6 and -23/12? 60 Let g = -7 + 9. Let x = 1 + g. Suppose -2*o + 3*v = x*o - 14, 2*v = -3*o + 16. Calculate the lowest common multiple of 10 and o. 20 Let z = -2150 - -58012/27. What is the common denominator of z and -55/24? 216 Let z = -47359 - -376835565/7957. Let c = 549013/79570 + z. Find the common denominator of 25/6 and c. 30 Calculate the common denominator of 130/14*(-2)/4 and 101/14. 14 Let c = 10 + -25. Let z be 1 + (1*c)/(-1). Calculate the common denominator of -53/10 and 0 + ((-235)/z)/(-5). 80 Calculate the smallest common multiple of 10 and 41 + 8 + (3 - 2). 50 Calculate the common denominator of -17/4 and -3 - (0 + 11/(-10)). 20 Let b(g) = 122*g**3 - g + 1. Let z be b(1). Find the common denominator of (5/(-6))/(8/(-102)) and 12/(-16)*z/9. 24 Let g(a) = 16*a + 2. What is the least common multiple of 14 and g(1)? 126 Let s = 3/355 + -4633/2130. What is the common denominator of -19/3 and s? 6 Suppose -5 = o, 4*u + 0*o + 3018 = 2*o. Find the common denominator of -19/12 and (-22)/55 - u/30. 12 Find the common denominator of 101/5*(-4)/(-8) and 275/36 + 1/(-4). 90 Let r = 1 - 2. Let v = r - 1. Calculate the common denominator of 32/9 and (-46)/14 + 2 + v. 63 Let i(u) = u**2 + 5*u - 8. What is the lowest common multiple of i(-7) and 5? 30 Calculate the common denominator of ((-5)/70*-31)/(0 - 1) and 17/16. 112 Suppose 6*j - 324 = -3*j. What is the least common multiple of j and 32? 288 Let g = -36 - -45. Calculate the least common multiple of 6 and g. 18 Suppose -3*r + 3 = -0. What is the common denominator of ((-37)/12)/(r/(-2)) and -59/12? 12 Let c = 1901/645 + -35/43. Calculate the common denominator of 47/12 and c. 60 Let g(y) = y**3 - y**2 + 8. Let z(q) = -q**3 + 7*q**2 + 8*q + 6. Calculate the lowest common multiple of g(0) and z(8). 24 Let f(l) = -l**3 + 6*l**2 - 4*l. Let k be f(5). Suppose 0*x = -k*x. What is the least common multiple of 22 and -1 + x + 44/4? 110 Let x = -1330 + 58497/44. Calculate the common denominator of 55/6 and x. 132 Let w be 90/25 - (-2)/5. Suppose 3*b = 2*b + w. Find the common denominator of -41/7 and b. 7 Let n(s) = -3*s - 20. What is the smallest common multiple of 14 and n(-8)? 28 Suppose 5*g + 3*z = 4, 5*z + 0 = 15. Let w = 1/1771 - 28591/3542. Find the common denominator of -1 - ((-129)/(-12) - g) and w. 28 Let p(n) = -n**3 - 13*n**2 - 12*n. Let t be p(-12). Suppose 2*k - 4 = -t. What is the least common multiple of 11 and k? 22 Let f(x) = -x + 12. Calculate the lowest common multiple of -33*((-24)/9 + 2) and f(-4). 176 Let d = -339 - -1937. Let w = -35137/22 + d. Calculate the common denominator of 143/18 and w. 198 Let p = 72 + -44. What is the smallest common multiple of p and 2? 28 Let k = -6513/20 + 1273/4. Let t = k + -37/20. What is the common denominator of 7/16 and t? 16 What is the common denominator of (-726)/180 - (-4)/(-6) and 53/12? 60 Let k = 15 + -7. What is the lowest common multiple of 4 and k? 8 Let c(f) = f**2 + f + 1. Let a = -2 + 1. Suppose -5 = -4*x + 3*y, 3*y = 1 + 2. What is the lowest common multiple of x and c(a)? 2 Let o be (-10)/(-8)*(-131084)/550. Let q = o - -1498/5. Calculate the common denominator of q and 79/14. 154 Let o(n) = -n + 20. Calculate the lowest common multiple of 6 and o(6). 42 Let y be (-223)/3 + (-4)/6. What is the common denominator of -12*2*(-1)/5 and y/4 - 1/2? 20 Let f = 127 - 231. What is the common denominator of (-16)/f - (-1834)/416 and 3/14? 112 Let h be -2*(-1 + 6/4). Find the common denominator of (-135)/6 - (h - 0) and 17/8. 8 Let d be (53774/24 - 4) + 1. Let a = d + -2236. Find the common denominator of 19/10 and a. 60 What is the smallest common multiple of (-8)/(-216)*291 - 2/(-9) and 23? 253 What is the common denominator of (-626)/(-60) - 6/(-15) and 63/8? 24 What is the common denominator of 10/(-9)*(-27)/(-63) and 67/4? 84 What is the smallest common multiple of 4 and 41/3 + 1/3? 28 Let v = 33/2 + -131/8. Calculate the common denominator of v and 1/14. 56 Let w = 29/9 - 701/36. Suppose 0*a - a = -82. Calculate the common denominator of (-12)/(-30) - a/(-220) and w. 44 Suppose -4*x = 5*a + 13, 3*x + 3*a + 4 = -5. Let d = 4 + x. What is the lowest common multiple of 10 and d? 10 Let a(r) = -r + 118. Let i be a(0). Suppose -m + 5*o = -32, 4*o = -0*m + 5*m - i. Calculate the lowest common multiple of m and 18. 198 Suppose -4 = -4*y + 5*a, -4*y + 4 = 4*a - 3*a. Find the common denominator of 1 + y/(32/20) and -51/20. 40 Calculate the least common multiple of ((-4)/(-3))/((-7)/(-63)) and 18. 36 Suppose -b + 1 = 3*i, 2*b = 2*i + 4 - 2. Suppose 2 = -3*l - b, 4*l - 39 = -v. What is the least common multiple of 4 and (-1)/3 + v/3? 28 Let o(u) = -2*u. Suppose 3*m + 5*p - 37 + 6 = 0, p + 26 = 4*m. What is the lowest common multiple of m and o(-3)? 42 Suppose 0*z + 2*z = -16. Let d be -1 + 0 - 36465/z. Let o = d - 4567. Calculate the common denominator of o and -61/2. 8 Let c = 420 + -41. Let t = 4148/11 - c. Suppose -15*p + 60 = -20*p. What is the common denominator of p and t? 11 Find the common denominator of -3 + (2 - 219/24) and -7/3. 24 Let w = 40647/10 + -4058. Calculate the common denominator of w and 79/14. 70 Let d = -1 - -13. Let h be 3/(-1 + 3/d). Find the common denominator of 35/9 and (-158)/(-44) - (-2)/h. 99 Let j(q) = 4*q**2 + 5*q + 1. Let r(z) = 3*z**2 + 4*z. Let g(p) = 2*j(p) - 3*r(p). Let w be g(-3). Let b = 5 - w. What is the lowest common multiple of b and 2? 6 Suppose -p - p - 10 = 0. Let k = 11 + p. What is the least common multiple of 4 and k? 12 Let q = -20 - -28. Let c(a) = a + 6. Let f(x) = 4*x + 1. Let h be f(-1). Calculate the smallest common multiple of c(h) and q. 24 Let b = 2289/5 - 15773/35. C
{ "pile_set_name": "DM Mathematics" }
54*n**3 - 1 + 97*n in the form c*n**2 + g*n + h + o*n**3 and give h. -1 Express -121 + 20*f**3 - 35*f**3 + 14*f**3 - 185 in the form s*f**2 + p + m*f**3 + d*f and give m. -1 Rearrange 8 - 1423*n**2 + 1423*n**2 - 62*n + 16*n - 2*n**3 + 2*n**4 + 4*n**3 to the form b*n**3 + o*n**4 + a + r*n**2 + d*n and give b. 2 Express -7*i - 59 - i**3 - 6*i**2 + 135 - 78 in the form y + o*i + r*i**2 + d*i**3 and give d. -1 Rearrange 9*p - 259*p**2 + 18*p + 256*p**2 - p**3 + 2 to o + u*p**3 + c*p**2 + d*p and give d. 27 Express -140 + 140 - 285*a - 5 + 5 + a + (-5 + 1 + 2)*(4*a + 0*a - 3*a) - 2*a + 4*a - 4*a in the form c*a + s and give c. -288 Rearrange 9 - 55*x + 4 - 9 + 2 to g*x + i and give g. -55 Rearrange (-2*p**2 + 0 + 0)*(0*p + p + 11*p) + (p**2 - p**2 - p**2)*(2*p - 8*p - 3*p - 2*p) to the form f*p**2 + l*p**3 + i + c*p and give l. -13 Express -2*l**2 - 2 + 2 + (13 + l - 13)*(3*l + 0*l + 12*l) in the form h*l + d + o*l**2 and give o. 13 Express -140*k**2 + 5*k - 123*k**2 - 3*k - 159*k**2 + 94*k**2 as l*k + x + f*k**2 and give l. 2 Rearrange 2 + 2*c - 2 + (-3*c + 2 - 2)*(-3 + 4 + 1)*(-1 + 0 - 2) + (-2 + 2 - 5)*(-19*c - 39*c + 11*c) to the form g*c + f and give g. 255 Express (-2*g**2 + 6*g**3 + g**2 + 0*g**3)*(-23 - 7*g + 23 + (2 - 3 + 2)*(5*g + 0*g - 4*g)) in the form k*g**2 + v + y*g + f*g**3 + z*g**4 and give z. -36 Express (1 - 1 - 2*w)*(5 + 7 - 2)*(-3 - 2 + 4) + (0 + 0 + 6*w)*(-5 + 2 + 1) - w + 5*w - 3*w as s*w + m and give s. 9 Rearrange 92*x + 9*x + 81*x - 757*x**2 + 759*x**2 to the form b*x**2 + z*x + u and give b. 2 Rearrange (-1 + 0 + 0)*(3*h - 6*h + 5*h + (h - 7*h - 20*h)*(0 + 2 + 1)) to the form c + w*h and give w. 76 Rearrange (-g + 3*g - g)*(28*g**2 + 25*g**2 - 37*g**2 - 31*g) to the form h*g + r*g**2 + z + s*g**3 and give s. 16 Rearrange 23*y - 4*y**2 + 6 - 3 - 12 + 8 to the form v + l*y**2 + d*y and give d. 23 Express (-1139 + 13*q - q + 1147)*(-4*q**2 - 2*q**2 + 4*q**2) as k*q + s + l*q**3 + r*q**2 and give l. -24 Rearrange -15*v**2 - 3*v**2 - 156*v**3 + 16*v**2 to the form j + q*v**2 + m*v**3 + a*v and give m. -156 Express (2 + 8 - 2)*(-4 + 4 - 3*i)*(11*i + 1 + 8*i - 10*i) in the form m + y*i + c*i**2 and give c. -216 Rearrange 8544 - 8048 + 2*d**3 - d + d**2 - 2*d**3 + d**3 to the form z*d**2 + j*d**3 + v*d + a and give j. 1 Rearrange -178 - 181 - 935*f + 544 - 185 to y*f + c and give y. -935 Express 6 - 2*t**2 + t**4 - 4 + 18*t**3 - 8*t**3 - 1 as k + d*t + i*t**2 + v*t**4 + p*t**3 and give v. 1 Express (-315 + 2*j + 156 + 157)*(-25 - 3 - 2) as f + t*j and give t. -60 Express -26*d**2 + 10*d**3 - 18*d**2 + 46*d**2 + 12*d as h + c*d + z*d**3 + f*d**2 and give f. 2 Rearrange 1121*u**3 - 2245*u**3 - 3*u**4 + 1119*u**3 - u to d*u + m + b*u**3 + s*u**2 + j*u**4 and give j. -3 Express -19*j - 31*j + 29*j - 12 as o + d*j and give o. -12 Rearrange (-2 - 8 - 34)*(10*k - 4*k**2 - 10*k)*(-3*k + k - 2*k) to the form q*k**3 + j + o*k + w*k**2 and give q. -704 Express 1 + 2*p**4 - 1 + (4*p**3 - 3*p**3 + p**3)*(2*p - 3*p + 3*p + (81*p + 26*p + 71*p)*(4 + 3 - 4)) as s*p + x + f*p**2 + w*p**4 + h*p**3 and give w. 1074 Express -5*k + 6 + 0 - 8 - 68*k in the form l + t*k and give t. -73 Rearrange 169*z - 467*z - 370*z to i*z + f and give i. -668 Express (-33 + 218*j + 226*j - 450*j)*(-4 + 3 + 2)*(-3 + 2 + 0)*(0 + 2 - 4) as f + q*j and give f. -66 Rearrange 10391*d**3 + 3*d**2 + 60 + 3*d - 10390*d**3 - 3*d**2 + 0*d**2 to the form u + r*d**3 + k*d**2 + y*d and give u. 60 Express -7*a + 63*a**2 - 34*a**2 - 28*a**2 + a in the form x*a + q + b*a**2 and give b. 1 Rearrange (-3 - 7 + 5)*(4*u**2 - 12*u**2 - 26*u**2) to the form p*u**2 + n*u + v and give p. 170 Rearrange -s**2 - 26 + 32*s - 31*s + 21 to f + j*s**2 + i*s and give f. -5 Rearrange (-i - i + i)*(0 + i**3 + 0) + 175688 - 175688 + 175*i**4 + 2*i**2 to the form c*i**4 + q*i**2 + p + m*i + t*i**3 and give q. 2 Rearrange -6 + 52*c + 4 + 434*c + 2 to the form g*c + m and give g. 486 Rearrange -y**2 + 5 - 79*y + 96*y - 5 - 3*y**3 - 6*y**2 to p*y**3 + i*y + z*y**2 + c and give p. -3 Rearrange k**3 - 2*k**2 + 0*k**2 + k**2 - k**2 - 1 + 27*k - 2*k**2 to the form h + l*k**3 + g*k**2 + d*k and give h. -1 Express -q**3 - 31*q + 9*q + 53 + 11*q + 10*q + 104 in the form m*q**2 + r*q + u + o*q**3 and give o. -1 Express 93*y - 183*y + 2 + 5*y**3 + 97*y as f*y + h*y**2 + a + w*y**3 and give a. 2 Express 985*n - 27 - 34 + 98 - 35 in the form w + x*n and give w. 2 Rearrange a**2 - 58 + a**2 - a + 56 - 7*a**3 + a**4 to the form b*a**4 + h*a + x + p*a**3 + v*a**2 and give b. 1 Express (4*m**3 - m**2 + m**2)*(9 + 3 + 49)*(-2*m - m + m) in the form q*m**2 + n*m + y*m**3 + o*m**4 + h and give q. 0 Express 71*a**3 - 112*a**3 - 76*a**3 - a in the form g*a + v*a**3 + o*a**2 + h and give v. -117 Rearrange 500 - 56*y**2 - 500 to the form g + x*y**2 + z*y and give g. 0 Express (-1 - 2*f + 1)*(2 - f - 2) + 13*f**2 - 376 + 376 + f**2 - 2 + 2 as d*f**2 + i*f + w and give d. 16 Express 0 + 8 + 11*q - 1 + 1 in the form z + a*q and give z. 8 Express (-291 + 291 - 2*k)*(-8 - 5 + 5)*(3 - 1 - 4) in the form a*k + i and give i. 0 Rearrange (-2*s + 2 - 2)*(4*s**3 - 3*s**3 - 3*s**3) + 2 + 166*s**4 - 165*s**4 + 3*s**3 - 7*s**3 to the form n*s + h*s**2 + q*s**4 + a + k*s**3 and give a. 2 Express (6 - 5 - 2)*(-4 + 4 - 6*h) - 2*h - 5*h + 2*h + (-h - 3*h + 5*h)*(1 + 0 + 1) + 0 + 0 + h in the form m + f*h and give f. 4 Rearrange -w**3 + 53 + 55 - 7*w - 166 - 3*w**4 + 59 to f*w**4 + j + b*w**2 + u*w + z*w**3 and give z. -1 Express (0*x - x - 2*x)*(196*x - 746*x + 251*x + 208*x) as w + z*x**2 + y*x and give w. 0 Express m + 3*m - 3*m + (1 - 3 + 1)*(-13*m + 5 - 5) in the form q + o*m and give o. 14 Express -20*z**2 - z + 6*z**3 + 892*z**4 - 2 - 4*z**3 - 894*z**4 as b*z**2 + p*z**4 + t*z**3 + s*z + l and give s. -1 Rearrange 141*p + 2600 - 2*p**2 + p**2 - 2600 to the form y*p**2 + o + n*p and give n. 141 Rearrange (-o + 0*o + 0*o)*((-3 + 0 + 1)*(o + 3*o - 2*o) + 3*o - 2 + 2 + 3 - o - 3) + (-3 + 3 + 3*o)*(4*o - 6*o + 4*o) to t + y*o + v*o**2 and give y. 0 Express -30*a - 36*a - 33*a**4 - 2*a**3 + 63*a as u*a**3 + i*a + y*a**2 + n + l*a**4 and give u. -2 Rearrange -2*g**3 + 366*g + 9 - 364*g + g**2 + 0*g**2 to p*g + t + h*g**3 + z*g**2 and give h. -2 Express (23*p**2 - 56*p**2 + 226*p**2)*(1 - 2 + 0) in the form c + m*p + g*p**2 and give g. -193 Express -12*l**2 - 9*l**3 + 5*l + 21*l**2 + 16*l**2 - 4*l in the form q*l + b*l**2 + c*l**3 + w and give q. 1 Express (2*z + 4*z - 3*z)*(0*z - z + 2*z + (0*z - 4*z + 0*z)*(3 + 1 - 7) + 2*z + z - z) as l*z**2 + n*z + f and give l. 45 Rearrange -2*s**4 + 2*s - 5*s + 2*s + 9*s**3 - 2*s**3 + 51*s**3 to the form a*s**2 + l*s**3 + c*s + m*s**4 + o and give c. -1 Rearrange -16*v - 78*v**2 + 3*v - 83*v**2 + 159*v**2 to u*v**2 + h + w*v and give u. -2 Express (3 - 1 + g - 1)*(55 - 156 + 2) as d*g + k and give k. -99 Rearrange 2*x**2 + 0*x - 1091*x**4 - 2 + 2175*x**4 + 2*x - 1088*x**4 to the form v*x**4 + g*x**3 + k*x**2 + j*x + i and give i. -2 Rearrange (h + h + 0*h)*(-3*h**3 + 3*h**3 + 2*h**3) + (-2*h**3 + 4 - 4)*(-126*h - 33*h - 58*h) to a*h + l*h**3 + y*h**4 + s*h**2 + x and give y. 438 Rearrange -5*m + m + m**3 - 31*m**3 - 3*m to the form o*m + f + g*m**2 + h*m**3 and give o. -7 Express (-k**3 - 4*k**3 + 3*k**3)*(588*k - 184*k - 211*k) in the form n*k**3 + s + m*k**4 + b*k**2 + a*k and give m. -386 Rearrange (d + 0*d - 2*d)*(2 + 171*d - 344*d + 145*d**2 + 171*d) to j*d**3 + a + x*d**2 + m*d and give j. -145 Express 2*y**4 - 22 + 287615*y**2 - 287615*y**2 + 2*y as x*y**4 + w*y**2 + l*y**3 + k + f*y and give x. 2 Express -364*l**2 - 5*l**2 - 4 + 4 as y*l + p*l**2 + m and give p. -369 Express -12673*d + 12673*d - 279*d**2 as t + s*d**2 + r*d and give s. -279 Rearrange (5*g - g - 2*g)*(-703 - 41*g**2 + 703) to m*g**2 + v + d*g**3 + c*g and give d. -82 Express -35023*d**2 + 35024*d**2 - 2*d - 88*d**3 + 17*d**3 as q*d + n*d**2 + p*d**3 + r and give n. 1 Express -u**2 + 0*u**2 + 7*u**2 + (2*u + 0 + 0)*(-u + 2*u - 3*u) + (3*u**2 - 2*u**2 + 0*u**2)*(4 + 3 - 5) + u**2 - u**2 - 3*u**2 as h + n*u**2 + z*u and give n. 1 Express (-1 - 2 + 5)*(-3 - 4 + 5)*(8*j - 5*j + 14*j + 1) as u*j + g and give g. -4 Rearrange 145*z**2 + 45*z**2 + 53*z**2 to i + c*z + r*z**2 and give r. 243 Rearrange -589*u**2 + 72977*u - 72977*u to the fo
{ "pile_set_name": "DM Mathematics" }
k)). -93*k**2 Let j(s) be the second derivative of 313*s**3/2 + s**2/2 + 1547*s. Let u(o) = 2*o. Calculate j(u(y)). 1878*y + 1 Let a(u) = 4*u. Let j(n) = n - 1. Let s(m) = 5*m - 4. Let c(x) = 4*j(x) - s(x). Let k(b) = -a(b) - 2*c(b). Let w(t) = -7*t - 6*t + t + 0*t. Determine w(k(z)). 24*z Let p(w) = -w. Let d = 66 - 58. Let v(y) = 15 + 1 - 8 + 86*y**2 - d. Give v(p(l)). 86*l**2 Let t = -1 + 3. Let o be (19/(-4) - -6) + 3/4. Let x(n) = t*n + n - o*n - 3*n. Let s(a) = -47*a. Calculate x(s(u)). 94*u Suppose -5*d = -5*t - 160, -9 = -d + 4*t + 20. Let w = -1165 - -1167. Let r(h) = d + 3 - 3*h**2 + h**w. Let a(c) = -c. Determine a(r(b)). 2*b**2 - 36 Let q(b) = -2*b**2. Let t(l) be the first derivative of -20*l**2 + 2*l + 157. Give t(q(f)). 80*f**2 + 2 Suppose 10*k = 5*k + 4485. Let l(a) = 2*a - k + 897. Let n(z) = 3*z - 12. Let d(x) = 3*x - 12. Let r(u) = -5*d(u) + 6*n(u). What is l(r(y))? 6*y - 24 Let j(d) = 1942*d. Let s(f) = 1630*f**2. Determine j(s(z)). 3165460*z**2 Let u(v) = 22*v**2. Let q(s) be the third derivative of -169*s**4/24 - 1223*s**2. Determine u(q(k)). 628342*k**2 Let b(q) = -q**2 + 5*q + 974. Let m(u) = 33*u. Determine b(m(v)). -1089*v**2 + 165*v + 974 Let w be 3*-1*(-34)/51. Let d(r) = 4 - w + 1 - 2 - r. Let h(s) = -8*s + 4. Let l(f) = 4*d(f) - h(f). Let m(z) = 4*z**2. What is m(l(b))? 64*b**2 Let j(g) = g**3 - 30*g**2 - 30*g - 24. Let f be j(31). Let u(k) = f*k - 3*k - 7*k - 2*k. Let o(r) = 20*r. Calculate o(u(x)). -100*x Let x(b) = 4*b**2 - 4743 + 4743. Let a(s) = 4*s**2 - 34. Let i(n) = 9*n**2 - 67. Let j(r) = 7*a(r) - 3*i(r). Calculate x(j(p)). 4*p**4 - 296*p**2 + 5476 Let o(p) = 9*p**2 - 4. Let c(a) = 169*a**2 - 78. Let u(q) = -2*c(q) + 39*o(q). Let h(f) = 5*f**2 + 7*f. Determine u(h(z)). 325*z**4 + 910*z**3 + 637*z**2 Let c(g) = -g**2. Let k(v) be the first derivative of 0*v + 50 - 69/2*v**2 - 1/3*v**3. Determine c(k(o)). -o**4 - 138*o**3 - 4761*o**2 Let h(o) = -o. Suppose -2*m = -2, -t + 7 = 3*m - 2. Let v = 8378 + -8372. Let b(k) = -v*k - t*k + 11*k - 4 + 1. Calculate h(b(x)). x + 3 Let y(g) be the third derivative of -g**5/20 - 529*g**2. Let f(d) = 443*d - 2. Give y(f(v)). -588747*v**2 + 5316*v - 12 Let y(f) = -108*f**2 + 39*f - 39. Let c(z) = 3*z**2 - z + 1. Let r(t) = -39*c(t) - y(t). Let w(p) be the first derivative of 35*p**3/3 + 4. Determine r(w(u)). -11025*u**4 Let r(x) = -20*x**2. Let w(j) = -j**2 + 27*j - 92. Let i be w(23). Let f(s) = -6*s + i*s**2 - 6*s**2 - 8*s + 14*s. Calculate r(f(b)). -720*b**4 Let t(n) = -189*n**2 - 198*n + 33. Let j(w) = 23*w**2 + 24*w - 4. Let k(g) = -33*j(g) - 4*t(g). Let s(a) = 31*a + 35. Determine k(s(f)). -2883*f**2 - 6510*f - 3675 Let l(a) = 67*a**2. Let y(x) be the second derivative of -3*x**4/4 + 201*x. Calculate l(y(w)). 5427*w**4 Let z(g) = -g**2. Let b(k) = -3589217*k. What is z(b(m))? -12882478673089*m**2 Let t(a) = -61*a**2 - 89*a**2 - 56*a**2 + 220*a**2. Let r(f) = 105*f. Determine r(t(c)). 1470*c**2 Let h(v) = 4*v**2 - 6. Let z(f) = -3*f**2 + 4. Let x(u) = 5*h(u) + 4*z(u). Let w(i) be the first derivative of x(i). Let a(l) = -5*l. Calculate a(w(y)). -80*y Suppose v + 8 = 5*v. Let q(i) = -6*i**2 + 4*i**2 - v*i + 2*i. Let x(a) be the third derivative of -19*a**5/60 - 27*a**2. Calculate x(q(p)). -76*p**4 Let m(v) = v**2. Let y(n) be the first derivative of n**5/120 - 47*n**4/24 - 11*n**3/3 + 95. Let k(x) be the third derivative of y(x). Determine k(m(z)). z**2 - 47 Let d(n) = 665*n - 320*n - 344*n. Let h(t) = -2199*t**2. Calculate h(d(j)). -2199*j**2 Let b(q) = 4*q - 5*q + 0*q. Let a(k) = 15 + 12 + 20 - 5*k + 9 + 8 - 86. Give a(b(n)). 5*n - 22 Suppose 0 = -5*i + 8*t - 12*t + 170, 2*i + t - 65 = 0. Let l(y) = -i*y + 18*y - 18*y - 25*y. Let w(a) = 2*a. Determine l(w(m)). -110*m Let o(y) = 4*y. Let r = 937/1500 - 76/125. Let z(m) be the third derivative of 0*m**3 + 0*m**4 - r*m**5 + 0*m + 29*m**2 + 0. Give z(o(k)). -16*k**2 Suppose 13*r - 287 = -105. Let z = 21 - r. Let p(c) = 18*c - z*c - 6*c - 6*c. Let a(j) = -10*j**2. Determine p(a(x)). 10*x**2 Let u = -81 - -83. Let w(q) = -37*q**u + 55*q**2 - 24*q**2. Let p(l) = -l**2. Determine w(p(h)). -6*h**4 Let n(l) be the second derivative of l**6/720 + l**4/6 - 10*l**3 - 2*l + 20. Let y(v) be the third derivative of n(v). Let p(r) = 7*r**2. Give y(p(q)). 7*q**2 Let i(c) = -14*c**2 + 5. Let j = -303 + 315. Let s(r) = -r - j*r + 6*r + 3*r + 2*r. What is s(i(w))? 28*w**2 - 10 Let o(m) = m**2 - 8*m. Let i(h) = h + 3. Let a(q) = q**3 + 3*q**2 + 4*q + 7. Let z be a(-3). Let k(d) = 7*d + 15. Let w(v) = z*i(v) + k(v). Calculate w(o(f)). 2*f**2 - 16*f Let w(d) = 87*d**2. Let m(j) = -94179*j. Give w(m(x)). 771662511567*x**2 Let n(f) = 7 - 335*f**2 + 0 - 7 + 334*f**2. Let b(k) = 74*k. Give b(n(u)). -74*u**2 Let l(j) = 2*j**2 + 823*j. Let u(i) = -26*i + 99. Let f(t) = 7*t - 27. Let c(w) = 22*f(w) + 6*u(w). Determine c(l(d)). -4*d**2 - 1646*d Let l(c) = -c + 2. Let v(o) = 15*o**2 - 31*o**2 + 111*o**2 - 21*o**2 - 33*o**2. Determine l(v(i)). -41*i**2 + 2 Let k(d) = 21334*d - 3. Let y(f) = 9*f. Determine k(y(c)). 192006*c - 3 Let i(f) = -3*f. Let x(y) = -485*y + 753. Calculate i(x(b)). 1455*b - 2259 Let m(o) = 5*o**2 + 42. Let u(d) = 1422*d**2. Calculate m(u(j)). 10110420*j**4 + 42 Let w(c) = -91*c + 173*c - 43*c - 42*c. Let b(m) be the second derivative of -23*m**3/3 - 3*m. Calculate b(w(p)). 138*p Let x(f) = 36*f**2 + f - 72*f**2 + 39*f**2 - f. Suppose -33 = 5*g - 153. Let j(u) = g*u + 13 - 13. Determine j(x(h)). 72*h**2 Let p(t) = -191*t. Suppose -11*a - 38 = -643. Let u(h) = -110*h**2 + 54*h**2 + a*h**2. Determine u(p(b)). -36481*b**2 Let z(t) = -9571*t. Let d(k) = 9*k + 1. Calculate z(d(n)). -86139*n - 9571 Let d(y) be the second derivative of -y**5/6 - 39*y**2 - 30*y. Let c(n) be the first derivative of d(n). Let q(x) = -2*x**2. Give q(c(p)). -200*p**4 Let q(g) = 23*g**2. Let f(b) = 60*b**2 + 291*b + 2. Let r(l) = 181*l**2 + 776*l + 5. Let o(m) = 8*f(m) - 3*r(m). Give q(o(y)). 91287*y**4 - 2898*y**2 + 23 Let j(i) = -6*i**2 + 7. Let c(h) = 5*h**2 - 11436179 + 11436179. Determine c(j(d)). 180*d**4 - 420*d**2 + 245 Let h(b) = -39 + 3*b + 18*b + 7*b - 26*b. Let l(n) = -3*n**2 - 2. Give h(l(m)). -6*m**2 - 43 Let c(q) = 107*q**2 + 5*q. Let l(t) = 51*t**2 + 2*t. Let o(s) = -3*c(s) + 7*l(s). Let z(r) be the second derivative of r**3/6 + 23*r + 1. Determine z(o(a)). 36*a**2 - a Let f(i) = -19*i**2. Let g be -10*(-2)/(-15) + 8/6. Let s(q) be the third derivative of -9*q**2 + 0*q**3 + 0*q + g + 1/12*q**4. What is s(f(u))? -38*u**2 Let j(m) = 740 - 1318 + 578 + 2*m**2. Let d(f) = -1184*f - 4. Determine j(d(x)). 2803712*x**2 + 18944*x + 32 Let z(j) = -j - 2383. Let u(r) = 439*r**2 - 2*r. Determine z(u(s)). -439*s**2 + 2*s - 2383 Let a(s) be the third derivative of 313*s**4/24 + s**3/6 + 847*s**2 + 2*s. Let o(v) = -3*v**2. Give o(a(x)). -293907*x**2 - 1878*x - 3 Let r(q) be the second derivative of -28*q**3/3 + 49*q**2/2 + 24*q - 1. Let v(c) = 7*c - 6. Let n(i) = 6*r(i) + 49*v(i). Let g(s) = 27*s**2. What is n(g(u))? 189*u**2 Let t(j) = -5404578*j. Let p(v) = 23*v. Calculate p(t(x)). -124305294*x Let n(t) = 27*t**2 - 61482*t - 61483*t + 122965*t. Let v(x) = 2*x - 3*x - 5*x. Calculate n(v(w)). 972*w**2 Let d(h) be the third derivative of 25*h**5/3 + 704*h**2. Let t(c) = c. Calculate t(d(p)). 500*p**2 Let m(j) = 2*j**2. Let f = 717 + -539. Let b(w) = 1094 + f*w - 1094. What is b(m(k))? 356*k**2 Let m(v) = -54*v**2. Let o(w) = 25*w + 13719. Give o(m(q)). -1350*q**2 + 13719 Let v(f) = 27867*f. Let s(x) = -11*x - 2. Let j(l) = -65*l - 12. Let b(a) = -j(a) + 6*s(a). Calculate v(b(z)). -27867*z Let a(j) = 50*j**2 + 10168*j - 5108*j - 2 - 5059*j. Let d(n) = 2*n. Determine a(d(p)). 200*p**2 + 2*p - 2 Let z(j) = -3*j + j + 4*j. Let v(u) = -268*u + 13. Let b(p) = -106*p + 5. Let a(q) = -5*b(q) + 2*v(q). What is a(z(o))? -12*o + 1 Let u(j) = -348653*j. Let z(h) = 1240*h**2. Determine u(z(l)). -432329720*l**2 Let g(c) = -6934*c. Let y(v) be the third derivative of -v**5/60 + 214*v**2 + v. Calculate g(y(i)). 6934*i**2 Let q(w) be the third derivative of 7*w**5/60 + 297*w**2 + 2. Let d(g) = -226*g. Give d(q(m)). -1582*m**2 Let j(h) = -18*h - 2. Let l(g) be the third derivative of 2*g**4/3 + 899*g**2. Give l(j(u)). -288*u - 32 Let a(c) be the third derivative of -4*c**
{ "pile_set_name": "DM Mathematics" }
icked without replacement from {x: 13, o: 3}. What is prob of picking 2 x? 13/20 Two letters picked without replacement from wdwdwdww. Give prob of picking 1 d and 1 w. 15/28 Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, u: 5, q: 2}. 5/26 What is prob of picking 2 h and 2 q when four letters picked without replacement from qqqhhqqqhqqhh? 56/143 Two letters picked without replacement from imdsnmsippdm. What is prob of picking 2 m? 1/22 Two letters picked without replacement from bmhteet. Give prob of picking 2 e. 1/21 Four letters picked without replacement from lqrxssqtx. Give prob of picking 1 l, 1 q, 1 s, and 1 r. 2/63 Two letters picked without replacement from {u: 1, k: 1, p: 2, f: 9}. Give prob of picking 2 f. 6/13 Three letters picked without replacement from {o: 10, p: 10}. Give prob of picking 1 p and 2 o. 15/38 Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {c: 7, o: 11, p: 2}. 7/190 Three letters picked without replacement from woxwyx. What is prob of picking 1 y, 1 x, and 1 w? 1/5 Two letters picked without replacement from {d: 1, v: 1, x: 1, y: 2}. Give prob of picking 2 y. 1/10 Four letters picked without replacement from {s: 1, i: 1, r: 9}. What is prob of picking 1 s, 2 r, and 1 i? 6/55 Four letters picked without replacement from wwwooowwww. Give prob of picking 4 w. 1/6 What is prob of picking 2 p and 2 h when four letters picked without replacement from hppphppphppp? 12/55 Calculate prob of picking 2 q and 1 j when three letters picked without replacement from {q: 3, j: 1}. 3/4 Four letters picked without replacement from diddiiddiidii. Give prob of picking 1 i and 3 d. 28/143 Three letters picked without replacement from vnffvr. Give prob of picking 1 n, 1 r, and 1 v. 1/10 What is prob of picking 4 v when four letters picked without replacement from {a: 1, v: 6, m: 11}? 1/204 Calculate prob of picking 1 v and 1 t when two letters picked without replacement from vavavraarrttrvv. 2/21 Three letters picked without replacement from {p: 5, b: 1, i: 3, m: 1, w: 3, l: 5}. Give prob of picking 1 l, 1 m, and 1 w. 5/272 Two letters picked without replacement from {p: 1, n: 1, h: 1, u: 1, j: 1}. Give prob of picking 1 h and 1 j. 1/10 What is prob of picking 3 n and 1 t when four letters picked without replacement from {n: 4, t: 2, m: 2}? 4/35 Calculate prob of picking 2 d and 2 i when four letters picked without replacement from {d: 2, i: 3}. 3/5 Two letters picked without replacement from {j: 2, q: 9}. Give prob of picking 2 q. 36/55 What is prob of picking 3 j when three letters picked without replacement from hhjjhhjhjhhjhjjh? 1/16 Three letters picked without replacement from nhhhahvv. What is prob of picking 2 h and 1 n? 3/28 Four letters picked without replacement from ttdmj. What is prob of picking 1 t, 1 j, 1 m, and 1 d? 2/5 What is prob of picking 1 i and 3 j when four letters picked without replacement from {i: 3, j: 8}? 28/55 Two letters picked without replacement from nnznnznznnn. Give prob of picking 2 z. 3/55 Two letters picked without replacement from uttmscm. What is prob of picking 2 u? 0 Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {b: 6, h: 6, f: 3, k: 4}. 4/19 Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {n: 1, o: 2, x: 1, s: 2, d: 1, e: 1}. 1/28 Calculate prob of picking 1 w and 2 v when three letters picked without replacement from wvwvwwwtwvtvwwww. 3/28 Four letters picked without replacement from rhhmxzzmmhzmmh. What is prob of picking 3 h and 1 z? 12/1001 Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, g: 1, k: 1, i: 5, m: 1}. 1/45 What is prob of picking 2 k and 1 v when three letters picked without replacement from dykckdddvdddddkcdqy? 1/323 Calculate prob of picking 1 q, 1 z, and 1 u when three letters picked without replacement from {u: 2, q: 1, z: 2, x: 1}. 1/5 Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {b: 4, k: 1, a: 3, s: 1, x: 5, i: 1}. 4/105 Four letters picked without replacement from wwwwwwwwhwhwwhwwwh. What is prob of picking 4 h? 1/3060 Three letters picked without replacement from uyyuuuuyuy. Give prob of picking 3 u. 1/6 Calculate prob of picking 1 w and 2 z when three letters picked without replacement from {w: 1, x: 3, h: 1, b: 3, o: 7, z: 3}. 1/272 Calculate prob of picking 1 h and 2 b when three letters picked without replacement from bbhhh. 3/10 Three letters picked without replacement from mpvfvpmmpvmpmm. Give prob of picking 1 f and 2 p. 3/182 Two letters picked without replacement from {q: 3, a: 8, y: 6}. What is prob of picking 1 y and 1 a? 6/17 Calculate prob of picking 2 i when two letters picked without replacement from aaaiaiiiiiiaaaiiaai. 5/19 Calculate prob of picking 1 s, 1 q, and 1 a when three letters picked without replacement from sskqbqsskssaqqsqbks. 40/969 Three letters picked without replacement from {s: 2, t: 2, y: 1, w: 1, d: 2, a: 4}. Give prob of picking 1 d and 2 a. 3/55 Two letters picked without replacement from gcgggcggggjgggggg. Give prob of picking 1 j and 1 g. 7/68 Two letters picked without replacement from {c: 3, u: 1, h: 1, l: 4, g: 2}. Give prob of picking 2 c. 3/55 Three letters picked without replacement from ybnnbbniybinmmiin. What is prob of picking 1 y, 1 i, and 1 b? 4/85 What is prob of picking 1 s and 1 x when two letters picked without replacement from {x: 10, a: 1, s: 7}? 70/153 Four letters picked without replacement from nnnn. Give prob of picking 4 n. 1 What is prob of picking 1 f and 2 d when three letters picked without replacement from dvvvdvvjf? 1/84 Three letters picked without replacement from {y: 2, x: 5, d: 8}. Give prob of picking 1 y and 2 x. 4/91 Three letters picked without replacement from {s: 3, v: 15}. What is prob of picking 1 v and 2 s? 15/272 What is prob of picking 1 s and 1 u when two letters picked without replacement from {r: 6, s: 3, z: 1, d: 2, u: 3, v: 4}? 1/19 Three letters picked without replacement from vqqvvvvq. Give prob of picking 3 q. 1/56 Calculate prob of picking 3 d and 1 q when four letters picked without replacement from {g: 2, s: 4, q: 3, h: 1, l: 2, d: 3}. 1/455 What is prob of picking 1 i and 3 p when four letters picked without replacement from uiijipmuiuiuuipumup? 1/646 Four letters picked without replacement from yyyyyiyyiyiyai. What is prob of picking 4 i? 1/1001 What is prob of picking 1 g, 1 f, and 1 u when three letters picked without replacement from {g: 3, s: 6, h: 4, f: 3, u: 2}? 3/136 Four letters picked without replacement from {y: 9, m: 9}. Give prob of picking 4 y. 7/170 Two letters picked without replacement from {v: 2, r: 4, f: 1, z: 3, y: 4}. Give prob of picking 1 v and 1 z. 6/91 Three letters picked without replacement from {l: 3, i: 2, q: 3}. What is prob of picking 1 q and 2 l? 9/56 Two letters picked without replacement from yxvvyvvybbvvyyxbx. Give prob of picking 1 v and 1 x. 9/68 Calculate prob of picking 1 c, 1 z, and 2 f when four letters picked without replacement from {f: 2, c: 3, o: 3, z: 1, t: 1}. 1/70 Four letters picked without replacement from gpmnnwxwnwp. Give prob of picking 1 n and 3 p. 0 Four letters picked without replacement from {p: 1, z: 2, n: 2, v: 1, d: 6}. What is prob of picking 1 z and 3 n? 0 Calculate prob of picking 2 z and 2 n when four letters picked without replacement from {z: 9, n: 9}. 36/85 What is prob of picking 1 m and 1 j when two letters picked without replacement from kmjukukk? 1/28 Three letters picked without replacement from {l: 3, e: 3, x: 5, v: 4, h: 3}. What is prob of picking 1 l and 2 h? 3/272 Two letters picked without replacement from {i: 2, o: 1, z: 1, a: 1}. Give prob of picking 1 i and 1 o. 1/5 What is prob of picking 1 p and 2 x when three letters picked without replacement from {o: 2, p: 2, z: 4, i: 2, j: 1, x: 1}? 0 Three letters picked without replacement from {z: 16, j: 2}. Give prob of picking 2 j and 1 z. 1/51 What is prob of picking 1 d, 1 k, and 1 w when three letters picked without replacement from {p: 4, d: 1, v: 3, k: 1, w: 2}? 2/165 Two letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
c**4 Let y(w) = 116*w. Let x(a) = 556480*a. Determine x(y(p)). 64551680*p Let d(i) = -309*i**2 + 3771*i + 918*i**2 - 305*i**2 - 1023*i - 305*i**2. Let m(q) = -2*q**2. What is d(m(o))? -4*o**4 - 5496*o**2 Let d(r) = 2280*r**2. Let y(n) be the second derivative of n**4/6 + 7707*n. Determine y(d(k)). 10396800*k**4 Let d(a) = 18*a**2. Let f(h) = -h. Let b(t) = -t + t - 5*t. Let u be 29110/7455 - (2 - 88/42). Let q(n) = u*b(n) - 22*f(n). Calculate d(q(r)). 72*r**2 Let p(y) = 38*y - 3. Let h(r) = 60*r + 5495. Determine p(h(n)). 2280*n + 208807 Let o(k) = 9*k**2. Let f(n) = 562*n - 1130*n + 3 - 3 + 560*n. Determine o(f(t)). 576*t**2 Let g(m) be the first derivative of -m**4/12 - 2*m - 6. Let v(p) be the first derivative of g(p). Let x(t) = -144*t**2. Give x(v(a)). -144*a**4 Let u(v) = -1135466*v. Let k(b) = -26*b. What is k(u(z))? 29522116*z Let w(o) be the first derivative of -o**2/2 + 8276. Let k(y) = -12717*y. Give w(k(n)). 12717*n Let g(d) = 514*d. Let n(k) = 16*k**2 + 409. Give g(n(j)). 8224*j**2 + 210226 Let p(s) = 16506*s**2 + 9 - 9 - 16509*s**2. Let c(y) = 721*y**2. Give p(c(j)). -1559523*j**4 Let i(v) = -18*v. Let s(d) = -1986325*d. Calculate s(i(p)). 35753850*p Let i(b) = 460463*b**2. Let c(k) = 7*k**2. Give c(i(m)). 1484183220583*m**4 Let m(v) = 2*v + 978. Let t(x) = -73*x. What is t(m(a))? -146*a - 71394 Let y(g) = 330676*g**2. Let w(p) = 14*p**2. What is y(w(x))? 64812496*x**4 Let f(q) be the first derivative of 8*q**2 + 1. Suppose -636*s = -639*s + 12. Let w(k) = s + 5907*k - 5905*k - 4. Calculate f(w(n)). 32*n Let b(d) be the second derivative of -431*d**4/12 + d**2/2 + 19*d + 21. Let h(r) = -r. Calculate b(h(j)). -431*j**2 + 1 Let j(s) = -s - 1. Let g(z) = -1. Let f(k) = -2*g(k) + 2*j(k). Let p(q) = -216*q - 139*q + 36 - 36 + 441*q. What is p(f(w))? -172*w Let f(p) = -2*p**2. Let i(d) be the second derivative of 31*d**4/12 - 73*d**2/2 - 1702*d. What is i(f(t))? 124*t**4 - 73 Let b(l) = -52*l - 35. Let r(g) = -2452*g. Calculate b(r(f)). 127504*f - 35 Let t(l) = -51316741*l. Let s(a) = 7*a**2. Determine s(t(r)). 18433855348027567*r**2 Let u(f) = 6789*f - 58. Let k(n) = 19*n. Give k(u(s)). 128991*s - 1102 Let b(x) = 65*x**2 + 2*x - 2*x - 2*x**2. Let g(f) = -13*f**2 - 28. Let y(c) = 11*c**2 + 24. Let u(q) = 6*g(q) + 7*y(q). Calculate b(u(s)). 63*s**4 Let a(z) = -8*z**2 + 84. Let f(p) = -p**2 + 9. Let c(m) = -3*a(m) + 28*f(m). Let d(t) = 6*t**2 + 7. What is d(c(i))? 96*i**4 + 7 Let j(w) = -289*w**2. Let i(f) = -11*f - 3. Let t(d) = 1 - 2 - 5 - 15*d + 4 - 2. Let p(q) = 4*i(q) - 3*t(q). Determine j(p(h)). -289*h**2 Let h(d) = 2*d. Suppose -3*t + 7 = 1. Let z = 14 - 4. Let s(n) = 18*n**2 - 5*n + 5. Let p(q) = q**2 + q - 1. Let o(x) = t*s(x) + z*p(x). Determine o(h(r)). 184*r**2 Let c(w) be the second derivative of 0 + 25/3*w**3 + 17*w + w**2. Let o(l) = -l**2. Give o(c(p)). -2500*p**2 - 200*p - 4 Let s(p) = 185*p**2. Let h(l) be the third derivative of 13*l**5/30 + l**2 - 334. What is h(s(n))? 889850*n**4 Let y(g) = -1977*g**2. Let v(q) = -70258*q + 35129*q + 35130*q. Give y(v(l)). -1977*l**2 Let w(x) = 51*x - 100. Let i be w(2). Let g(f) = 41*f**2 + 39*f**2 - 69*f**i. Let v(b) = -9*b. Determine v(g(a)). -99*a**2 Let f(t) = -11391655*t. Let o(d) = d. What is f(o(r))? -11391655*r Let c(h) be the first derivative of -4/3*h**3 - 41 + 0*h + 0*h**2. Let m(r) = -8*r. What is c(m(b))? -256*b**2 Let o(r) = -1975*r - 200. Let w(u) = -20*u - 2. Let a(x) = o(x) - 100*w(x). Let i(q) = -40*q**2. Determine a(i(k)). -1000*k**2 Let f(d) = 1 + 2*d**2 + 6297*d - 6297*d. Let p(v) = 3*v. Calculate f(p(m)). 18*m**2 + 1 Let u(y) = 7*y**2 + 12. Let a(r) = -333146*r**2. Give u(a(g)). 776903801212*g**4 + 12 Let b(l) = l**2. Let i(d) = -85*d + 78. Let s be i(-10). Let t(m) = 1387 + 2*m - s + 0*m. Determine b(t(z)). 4*z**2 + 1836*z + 210681 Suppose -18*u = -233 + 71. Let b(q) = 18*q - 7*q - u*q. Let r(a) = 34*a**2. Calculate b(r(p)). 68*p**2 Let m be 0 - -3 - 4 - -7. Let y(c) = -21*c + 8*c + m*c + 10*c. Let i(b) = -8*b**2. What is i(y(t))? -72*t**2 Let f(p) = 2*p + 783174. Let w(l) = 93*l. Calculate w(f(g)). 186*g + 72835182 Let w(t) = 6*t + 2. Suppose 5*q + 18 = -4*i, -3*i = -2*i + 3*q + 8. Let u(b) = -2*b + 1. Let x(c) = i*u(c) + w(c). Let j(o) = -10*o. Calculate x(j(y)). -100*y Let r(t) = 88961*t + 1. Let w(m) = -4*m. Determine w(r(c)). -355844*c - 4 Let k(h) = -242*h**2 + h. Let r(q) = 2159661*q. Determine r(k(y)). -522637962*y**2 + 2159661*y Let c(x) = 31549*x**2. Let m(s) = 9*s. Give m(c(q)). 283941*q**2 Let f(d) = -2*d**2. Let w(s) = 23669*s + 370*s**2 - 3 - 23669*s + 3. Give f(w(v)). -273800*v**4 Let s(x) = 4*x. Let w(g) = -12659549*g. Calculate w(s(f)). -50638196*f Let n(m) = 4*m**2. Let t(i) be the second derivative of 5*i**3/6 + 31*i + 6. What is t(n(o))? 20*o**2 Let n(f) = -9*f**2. Let b(v) = 1031365*v**2. What is n(b(s))? -9573423869025*s**4 Let b(u) = -9*u. Let v(m) = 2*m**2 - 12*m - 11. Let g be v(7). Let c(n) = -33*n - 8. Let a(q) = 12*q + 3. Let f(l) = g*c(l) + 8*a(l). Calculate b(f(d)). 27*d Let l(f) = 69788*f. Let j(v) = 36*v - 18. Give j(l(b)). 2512368*b - 18 Let s(l) = 4*l. Suppose 57*z - 7 - 58 = 106. Let u(y) be the second derivative of 0*y**2 + 31*y + 0 + 0*y**z - 1/4*y**4. Calculate s(u(x)). -12*x**2 Let z(s) = 2658981*s. Let i(a) = 53*a. Determine z(i(t)). 140925993*t Let p(s) be the third derivative of -s**6/720 + 47*s**4/24 - 138*s**2. Let f(d) be the second derivative of p(d). Let o(a) = -21*a. What is o(f(y))? 21*y Let q(k) = -5*k**2 - 2*k - 3. Let f(c) = -26*c - 2 + 50*c - 4*c**2 - 27*c. Let x(j) = 2*f(j) - 3*q(j). Let b(a) = 2*a**2. What is x(b(m))? 28*m**4 + 5 Let u(a) = 121*a**2. Let h(b) = 36*b**2 - 3*b + 3. Let c(r) = 155*r**2 - 13*r + 13. Let z(w) = -3*c(w) + 13*h(w). Calculate z(u(p)). 43923*p**4 Let w(h) = 171*h**2 + 2. Let f(z) = -22*z - 2*z**2 + 0*z**2 - 12*z + 34*z. What is f(w(j))? -58482*j**4 - 1368*j**2 - 8 Let p(i) = -2*i**2. Let q(d) = 21*d + 1. Let g(x) = -x + 1. Let s be 2/((-42)/28*8/6). Let u(c) = s*q(c) + 3*g(c). Determine p(u(y)). -1152*y**2 + 192*y - 8 Let p(d) = -2*d. Let m(s) = -991*s**2 - s + s + 435*s**2. Give p(m(u)). 1112*u**2 Let t(r) be the third derivative of -47*r**5/12 + 34*r**2 - 5*r. Let i(f) = -27*f. Determine t(i(v)). -171315*v**2 Let k(v) = -2*v**2 - 128247. Let j(i) = 2*i + 41. Calculate k(j(n)). -8*n**2 - 328*n - 131609 Let p(m) = -18*m**2. Let x(h) = 0 - 23*h - 2 - 19*h - 12. Let i be x(-3). Let f(r) = 112 - i - r. What is f(p(n))? 18*n**2 Let s(l) = 48447*l - 96884*l + 48447*l. Let p(t) = t + 4*t - t. Determine s(p(y)). 40*y Let w(d) = 4*d + 790. Let j(c) = 9*c + 1847. Let a(p) = 3*j(p) - 7*w(p). Let x(y) = -243*y**2. What is x(a(l))? -243*l**2 + 5346*l - 29403 Suppose 2*w + y - 2857 = 0, 3*w - 4291 = 3*y + y. Let o(g) = g - 1429 + w. Let k(s) be the third derivative of -5*s**4/12 - 100*s**2. Calculate k(o(a)). -10*a Let p(x) = 11*x - 2. Let k(w) = 5*w - 1. Let v(g) = -2*k(g) + p(g). Let s(l) be the third derivative of -l**2 + 0*l**3 + 0*l + 0 - 1/8*l**4. Give s(v(m)). -3*m Let i(w) = w**2. Let l(d) = d**3 - 6*d**2 - d - 8. Let h be l(7). Let k = -32 + h. Let a(r) = -11 + 22*r**k + 11 - 4*r**2. What is a(i(f))? 18*f**4 Let t(a) = 31392*a**2 - 14*a. Let z(s) = -16*s. What is t(z(m))? 8036352*m**2 + 224*m Let h(w) be the first derivative of -w**4/8 + w**2 + 29. Let j(m) be the second derivative of h(m). Let g(x) = 14*x. Calculate g(j(n)). -42*n Let z(h) = -124*h**2 + 2. Let l(b) be the third derivative of -b**7/2520 - 119*b**5/60 + b**2 + 7*b. Let i(t) be the third derivative of l(t). What is z(i(o))? -496*o**2 + 2 Let y(z) = 10348*z. Let n(p) = -440*p**2 + p. Determine n(y(m)). -47115685760*m**2 + 10348*m Let z(l) = 187*l**2. Let v(h) be the third derivative of 17*h**5/60 + 321*h**2 + 1. Give z(v(m)). 54043*m**4 Let g(q) be the second derivative of 0*q**2 + 0 - 78*q - 1/3*q**3. Let d(k) = -425*k**2. Calculate g(d(y)). 850*y**2 Let u(g) = -130*g - 174*g + 142*g. Let l(z) = 2*z. Give u(l(a)). -324*a Let f(b) = -b. Let r(a) = -a**2 + a - 2. Let i(h) = -651*h**2 + 372*h - 744. Let n(t) = 5*i(t) - 1860*r(t). Calculate f(n(c)). 1395*c**2 Let c(a) = -19*a**2. Let t(r) = -90640*r**2 - 825. Let u(p) = -220*p**2 - 2. Let l(j) = -2*t(j) + 825*u(j). Give c(l(s)). -919600*s**4 Let r(f) = -2*f. Let x be (3
{ "pile_set_name": "DM Mathematics" }
the second smallest value? (a) -1/5 (b) i (c) u a Let m be 5/20 - (-18)/(-8). Let f = -0.417 + -2.963. Let p = -0.62 + f. What is the second biggest value in -0.3, 7, m, p? -0.3 Let i = -60580 - -60592. Let d = -39/14 + 9/7. Which is the second biggest value? (a) -0.2 (b) d (c) i a Let o = 0.024 - -0.346. Let j = -962 - -75037/78. Let f = -119/156 + j. Which is the third smallest value? (a) f (b) o (c) 1/10 b Let j = 42.24 + 0.16. Let t = j + -37.4. Which is the third biggest value? (a) -2 (b) t (c) -3 c Let b be ((-6)/9)/(2/1). Let i = 427 - 428.64. Let v = -1.44 - i. What is the third biggest value in b, v, -0.2, 2/37? -0.2 Let i = -11669 - -11166. What is the biggest value in 2/7, -3/5, i? 2/7 Let p = 157.1 - 2.1. Which is the second biggest value? (a) -2 (b) 7/2 (c) p b Let n = 5706/29 - 96944/493. Which is the third biggest value? (a) -141 (b) n (c) 0 (d) -3/7 d Let n = 2.1554 + -0.1554. Which is the third biggest value? (a) n (b) -36 (c) 3/2 b Suppose -113 - 20 = -19*b. Let c be b + 11 + 16/2. What is the fourth smallest value in 5, c, 4, -3? c Let o = 16.1 - 16. Let r = -154 + 156. Let q = 29 + -31. What is the biggest value in o, r, 1, q? r Let u = 37767/14 + -2697. Which is the fourth smallest value? (a) -0.2 (b) u (c) -1 (d) -4 (e) 1/4 e Let t = -0.6095 - -0.2095. Let g = 0.48 - 58.48. What is the biggest value in -1/4, g, t? -1/4 Suppose 3*f = 8 + 1. Let d be 1/(18/(-2298)) + 4 + (-96)/18. Which is the third smallest value? (a) d (b) f (c) -4 b Let r = 1 - -1. Let k be ((-18)/(-28))/(-21*(-24)/(-588)). What is the second biggest value in -3/5, k, r? -3/5 Let k = 13.8 + -13.2. Let w be (-10621)/21 + ((-66)/9 - -7). Let u = 506 + w. Which is the second biggest value? (a) 2 (b) u (c) k c Let h = 1738 + -1736.242. Let i = 0.442 + h. What is the third smallest value in -1/5, -3, i? i Let w(c) = c**2 - 41*c - 121. Let s be w(43). Let f be 15/s - (-1)/7. What is the smallest value in 13, f, -1/4? f Let h = -369.4 - -369.45. Which is the second smallest value? (a) h (b) 19 (c) -6 a Let m be (-24 - -25)/(1 + 3/(-2)). Let i be ((-18)/51)/(60/(-255)). Which is the third biggest value? (a) -29 (b) m (c) i a Let c = 7.237 + -7.437. Let j = -7.56 + -1.14. What is the third biggest value in j, c, 5? j Let k = -58395/8 + 7299. Let h = 15 - 10. What is the second smallest value in k, 2/5, -1/6, h? -1/6 Let x = 451.146 + -450. Let l = 0.854 + x. Let s = 3614/9 - 402. What is the third biggest value in -0.4, l, 3, s? -0.4 Let g = 808810823/630 - 1283827. Let b = 1/90 + g. What is the biggest value in 0.2, b, 2/97? 0.2 Let w = -111.2 + 111.5. What is the third biggest value in w, 38, -2, -1/3? -1/3 Let c(g) = -g**3 - g**2 + 7*g + 6. Let o be c(-4). Suppose 0 = 7*h - 68 + o. Suppose 36 = 15*y - h*y. What is the second smallest value in -3, 0.2, y? 0.2 Suppose -o = 7*o. Let h = 30 + -25. Let n = 8 - 5. Which is the third smallest value? (a) 4 (b) n (c) h (d) o a Let o(w) = -w**2 + 27*w + 78. Let s = -567 + 564. Let h be o(s). Which is the fourth smallest value? (a) 2/29 (b) 2/5 (c) h (d) -2/7 b Let n = 25 + -23. Let w = 0.1905 - 3.1905. Which is the fourth smallest value? (a) 1/10 (b) -0.1 (c) n (d) w c Let g = -2316/13 + 178. Let a be -12 + 4 + 150/19. Let j = -2237.17 + 2237. What is the second smallest value in j, -0.2, a, g? j Let z = 3690 + -3686. What is the fourth smallest value in -0.03, z, 3/5, -29? z Let h = -14.6 + 15. Let o be -6 - (-2)/4*-2. Let z = -13297/2 - -6647. Which is the smallest value? (a) h (b) o (c) z b Let w(n) = -n**3 + 13*n**2 + n - 10. Let g be w(13). Let q be ((-620)/105 - -6)*2/(4/3). What is the smallest value in q, -3, g, 2/13? -3 Let x = -7 - -6.83. Let w = -4.83 + 5.2. Let f = w + x. What is the fourth biggest value in 2, 3, f, 0.4? f Let y = 388 - -115. Suppose 494*p = y*p + 27. Suppose -4 = 2*u - 4*u. Which is the smallest value? (a) u (b) -1/8 (c) p c Suppose -2*f - 18*s = -13*s - 24, f = -4*s + 18. Let k = 3 - 7. What is the second smallest value in k, 0.5, f, -0.4? -0.4 Let n = -13 - -17. Let j = 14.0762 - 2.7592. Let r = j + -0.317. Which is the biggest value? (a) r (b) -1 (c) -2 (d) n a Let v = 74 - 83.5. Let y = -9.374 - v. Let f = 0.126 - y. Which is the biggest value? (a) -4 (b) f (c) 0.1 (d) 5 d Let k = 4.07 + -0.07. Let x = 237.571 - -0.429. Let g = 241 - x. Which is the second smallest value? (a) g (b) k (c) -1/5 a Let i = 26703/53404 - 1/53404. What is the fourth smallest value in i, -1229, -1/3, -0.3? i Suppose 3*i + 3*v = 18, -23*v = -18*v - 15. What is the third biggest value in i, 1/11, 2, 2/7, 0.07? 2/7 Let b = -22770 - -21931. What is the second biggest value in 2/3, 0.3, b? 0.3 Let m = 0.92257 - 0.12257. Which is the fifth smallest value? (a) -11 (b) 0.2 (c) -3 (d) m (e) -1 d Let l = -48827/2253 + 4/751. Let j = -21 - l. What is the third smallest value in j, 1.5, 1? 1.5 Let p = -2 + 2. Suppose 5*z + 2*i - 12 = 0, i - 1 = -3*z + 7. Let k = -0.256 - -0.346. Which is the biggest value? (a) z (b) p (c) k a Let l = 43/37 + -135/148. Let j be (4/(-30))/((-3)/27). Let r = -52/35 + j. What is the fourth biggest value in 0, r, 3, l? r Let p = -0.3218 + 0.2218. Let m be (18/(-66))/(-2 + (-1)/(-2)). What is the third smallest value in m, p, -2/7, -3/2? p Let l = -13211 + 13204. What is the third biggest value in l, 1/25, -0.4? l Let o be (5 + -2)/((-63)/(-54)*9/(-7)). Let k = -2 + 2.4. What is the third biggest value in o, k, 3/4? o Let k = -0.29 + -0.01. Let r = k - -3.3. Suppose 19 = -23*d - 27. Which is the smallest value? (a) d (b) 15 (c) r a Let a = 6.15 - 0.45. Let d = a - 6. Let z be (-67)/(-615) + 234/(-1755). What is the second biggest value in -1/7, z, d? -1/7 Let a = -3780.2 - -3780. What is the smallest value in -2, 127, a? -2 Let i = 123 - 228. Let o = -106 - i. Which is the smallest value? (a) -1.7 (b) -5 (c) o b Let r = -32381/142670 - 2/6485. Which is the third biggest value? (a) -0.5 (b) -2/7 (c) r a Suppose 4*k + 5*h + 57 = 2*k, 2*h = -5*k - 90. Let c be (-5 + 6)*0 - k. What is the fourth smallest value in 4, -0.1, -2/3, c? c Suppose -28514 = 22*l + 7302. Which is the second biggest value? (a) 0 (b) l (c) 1 (d) 1/3 d Let z = 0.01769 + 3.98231. What is the smallest value in -2/7, z, -5/2, 8, 1/5? -5/2 Let p = -0.1 + 0. Let s = 0 - p. Let q(u) = 2*u - 32. Let c be q(19). What is the second biggest value in 1/5, c, s? 1/5 Let h be (4 + 4)*(52/(-8))/(-13). Let n = -3 - -4. Let f = n + -1. What is the second smallest value in f, 2, h? 2 Let u = 444 + -443.8. Let y(n) = -n**2 - 8*n - 15. Let o be y(-6). Let q = 0.68 + -0.08. Which is the second biggest value? (a) u (b) q (c) o a Let r = -80361 + 80357. Let y = -0.06 + -2.94. What is the biggest value in y, 1/6, r, 0.4? 0.4 Let k = 0.671 - 320.671. Let v = 319.5 + k. Which is the third biggest value? (a) -5 (b) v (c) 2/7 (d) 3 b Let u be (5/((-425)/(-5)))/(10 - 11). Which is the second smallest value? (a) -5 (b) -0.4 (c) u b Let l = -630 + 665. Let s = 34 - l. Let j = -17.33 - -0.33. What is the third smallest value in 5, j, s? 5 Let s = 213 + -213.03. Let o = -9.059 - -0.059. What is the smallest value in -4, s, -1, o? o Let v = 3.00746 + -0.00746. What is the third smallest value in 3/8, v, 191, 0.3? v Suppose 0 = 41*d - 29*d - 3600. Let c be -2*70/d*4/14. What is the biggest value in c, -3/8, -1/6? c Let z = -174 - -132. Let h = z + 42.4. What is the biggest value in 2, h, 0.08? 2 Suppose 0 = 2*p + 2*x + 42 + 96, 2*p + 3*x + 142 = 0. Let g be (-3 - p/10) + -4. Which is the smallest value? (a) -1/8 (b) 2 (c) -1/5 (d) g d Let c = 9813 - 9816. What is the fourth smallest value in -1, c, 0.3, 23, 4? 4 Let k = -6226 - -43584/7. Which is the biggest value? (a) -2/9 (b) 2/21 (c) 4 (d) k (e) 2 c Let c be ((-4)/(-1))/4*(5 - 48/10). What is the third smallest value in 4/7, 0.4, -7/18, c? 0.4 Let f = -73/43 + 1371/301. Which is the smallest value? (a) 2/7 (b) f (c) 1/10 (d) 3 c Let k = -944.2 - -944. What is the biggest value in -34, k, 0.13? 0.13 Suppose -15057*u + 60 = -15058*u. Which is the fourth biggest value? (a) -5 (b) -2/9 (c) 2/13 (d) u (e) 0.4 a Let f be (-16)/10*75/(-6). Suppose 2*u + g + 2*g - 41 = 0, -g = u - f. Suppose -1
{ "pile_set_name": "DM Mathematics" }
- 454*v - 48*c - 244 = 0 for v. -4 Solve -t + 30 = -4*a + 17, -5*a + 2*t - 17 = 0 for a. -3 Solve x + 26*k - 28*k = 10, -5*x + 20 = 5*k for x. 6 Solve 10672*z - 2*h = 10671*z - 10, -22 = 4*z - 5*h for z. 2 Solve 2*y - 4*j = -4, 5*y - 4*j - 1686 + 1678 = 0 for y. 4 Solve 3*m = -d - 3, -d = 59*m - 70 - 39 for d. -9 Solve 5*c + 5 = 0, -15*z - 4*c = -11*z + 12 for z. -2 Solve 9922 = 4*u + s + 9943, -u = 3*s - 3 for u. -6 Solve 20 = -5*f - 5*q, 64 = -9*f + 13*f - 6*q for f. 4 Solve 13*v + 590*h = 586*h + 14, 5*v + 5*h - 40 = 0 for v. -2 Solve -5*a - 14 = -g, -2*g = -461*a + 462*a + 16 for g. -6 Solve -3*f + 306*n + 2 = 310*n, -2*f - 6*n = -8 for f. -2 Solve -2*u - 4*y + 62 = 0, u - 55*y - 18 = -56*y for u. 5 Solve -3*f - 18 = 0, 12*f = -4*z + 17*f + 30 for z. 0 Solve 11*y + 4*y = 10*y - 9*k - 50, -5*k - 25 = 0 for y. -1 Solve 4*k + 116 = -5*i + 34 + 18, 3*i + 48 = 0 for k. 4 Solve -3*q - 3*y = 6156 - 6135, 3*q + 27 = -5*y for q. -4 Solve -5*r - 42 = 3*t, 6*t + 224 - 206 = r for r. -6 Solve 3*o + 5*s = 7, 111*s - 220 = 34*o - 36*o for o. -1 Solve 0 = 4*n + 3125*f - 3127*f - 6, 0 = -3*n + f + 5 for n. 2 Solve 0 = -2*f - 13*y - 23, -5*f + 92 = y + 118 for f. -5 Solve -273*t + 1 = -277*t - 3*l, 0 = -t - 6*l - 16 for t. 2 Solve 5*n + 3*m = 9826 - 9788, -8*n + m - 6 = -9*n for n. 10 Solve 0 = 5*o - 20, 3*t - 11*o = o - 21 for t. 9 Solve -x = -15 + 9, -18 = 3*a - 3*x for a. 0 Solve -3*c + 14222 - 14232 = -2*f, 2*c - 25 = -5*f for f. 5 Solve -5*z + 31 - 24 = -2*f, f + 3*z = -9 for f. -6 Solve -5*s + 83 = -7*n, -2*s + 4*n = -209 + 159 for s. -3 Solve 124*o + 5*u - 130 = 148*o, 1 = -o - 2*u for o. -5 Solve -d - 4*x = -2286 + 2273, -4*d = -8*x + 44 for d. -3 Solve 5*x - 19 = 3*h, -74*x + 78*x - 9*x + 31 = 3*h for h. 2 Solve 5076*u = 5079*u + 3*h + 60, 4*h + 102 = -5*u for u. -22 Solve 8 = 2*s, -17*n + 4*s - 4 = -20*n for n. -4 Solve -7*b - 9 = -y, -9*y = -6*y + 15 for b. -2 Solve -v - 100 + 118 = -3*i, 0 = -v + 3 for i. -5 Solve 421*v - 419*v + 24 = -4*k, -5*k - 5*v - 50 = 0 for k. -2 Solve 2*g + 2 = 4*c, -4*g + 4*c = -73 + 81 for g. -3 Solve 4*f - 14 = -t - 28, -5*t + f = 70 for t. -14 Solve -2*q = -f + 1, 7*f = 12277*q - 12274*q - 4 for f. -1 Solve -11*w + 6*w + 2 = 6*k - 5, -7*w = -5*k + 17 for k. 2 Solve -7*l + 2*j + 37 = 0, -31*j = -35*j - 4 for l. 5 Solve -2*r + 254 = m + 241, 5*m - 5*r + 25 = 0 for m. 1 Solve -3*m + 45 = -2*u, 2*u + 17041 = m + 17022 for u. -3 Solve -5*m - 5*d - 10 = 0, 432*m + 6 = 428*m - 5*d for m. -4 Solve -30*o - 22 = 4*x - 32*o, -5*x - 14 = 2*o for x. -4 Solve -1306 + 1316 = -6*f + 2*o, 3*f - 4*o - 7 = 0 for f. -3 Solve 13*t + 0*g - 10 = 18*t + 3*g, 2*t + 2*g = 0 for t. -5 Solve x = 58*q - 59*q - 1, 0 = 2*x - 3*q + 17 for x. -4 Solve 3*u - 19 = 4*q, 25 - 28 = u + q for u. 1 Solve 87*i - 162 = 2*a, 26*i - 23*i = -a + 12 for i. 2 Solve -3*s + 5*k + 58 = 0, 2*s = -4*k - 9 + 11 for s. 11 Solve 4*u - 2*j + 26 = 0, -4*j + 110 = -5*u + 79 for u. -7 Solve 19 = -2*c + o, -2*c + 2621*o + 8 = 2623*o for c. -5 Solve -2*f + 107*l = 109*l + 24, 32 = -5*f - l for f. -5 Solve -5*j + 10 = 3*z, 63*z - 50*z + 5*j + 40 = 0 for z. -5 Solve -4*l = -9*n + 25, -564*l + 61 = -3*n - 568*l for n. -3 Solve -39*n = -3*t - 44*n - 21, -4*t - 2*n - 14 = 0 for t. -2 Solve 54*n + q + 2 = 59*n, -28 = 2*n - 4*q for n. 2 Solve 17 = 5*b + o, 102*b + 132*o = 106*b - 1076 for b. 5 Solve 3*c = 2*v - 95 + 105, -2*c + 24 = 3*v for v. 4 Solve -16 = s + 3*w, -408*s - 4*w = -413*s - 42 for s. -10 Solve -5*b + 5*u = -10, -14 = -4*b - 101*u + 103*u for b. 5 Solve -y - 3*m = 1, 5*y + 153*m - 149*m - 17 = 0 for y. 5 Solve -5*g + p + 48 = 46, -g - 4*p + 97 = 0 for g. 5 Solve -4*h = 5*b - 37, -h + 0*h = 3*b - 25 for b. 9 Solve 12 - 24 = -2*f + 4*r, 0 = 12*f + 5*r + 73 for f. -4 Solve 107 = 2*q - 5*c + 119, -30 = 5*q - 4*c for q. -6 Solve -4*l - 34 = 3*n - 8, -9*l + 2*n = -64 for l. 4 Solve 5*u - 3*t = -27, -4*u + 72 = -7*t + 112 for u. -3 Solve -l + 25416*m - 25418*m + 5 = 0, -3*l = 4*m - 11 for l. 1 Solve k = -3*w - 32, -20*w - 70 = -15*w + 5*k for w. -9 Solve -t - 3*t + 5 = -j, 3*t = -2*j - 10 for t. 0 Solve -3*r = 4*p + 25, -19 = 4*p - 297*r + 298*r for p. -4 Solve -4*s - b + 13 = 0, s + 5*b + 92 - 62 = 0 for s. 5 Solve -t + 6 = y, -4*t = -338*y + 341*y - 23 for y. 1 Solve 12 = 2*c - f, 10*c - 56 = -1925*f + 1928*f for c. 5 Solve -14*a = -16*a - 3*r + 25, 0 = -3*a - 4*r + 35 for a. 5 Solve -2*r = 3*p - 29, 1079*r = -3*p + 1083*r + 23 for p. 9 Solve q - 8 = -d, 36*d - 31 - 72 = q for d. 3 Solve -9 = -4*h + k, -15*h + 18*h = 3*k + 27 for h. 0 Solve 0 = 3866*k - 3863*k + 8*y - 13, -3*k - 5*y = -7 for k. -1 Solve 8890*z + 14 = -5*f + 8886*z, 0 = 5*f + 2*z + 12 for f. -2 Solve 4*b = 695*r - 694*r + 23, 0 = -b - 5*r + 11 for b. 6 Solve -p + 7*u - 9*u = 15, 5*p = 3*u - 10 for p. -5 Solve -3*u - 514*o + 517*o = 0, -3*o = 5*u + 40 for u. -5 Solve -5*c + 9 = q, 7211*q - 7214*q - 3 = 0 for c. 2 Solve 3*m + y = -7, 3*m + 5*y - 44 + 55 = 0 for m. -2 Solve -2*d = 5*h - 86 + 87, 0 = -5*d + h - 16 for d. -3 Solve -f + 2*t = 14, 4*f - 5*t - 72 = -107 for f. 0 Solve 4*y = -24, -d - 19 = -2*d + 4*y for d. -5 Solve 4*t + 33 = -2*x + 3, 0 = x - 2*t - 5 for x. -5 Solve 2*b + 2 = 4*t, 3*t = -126*b + 124*b - 16 for b. -5 Solve -5*o + 4*u = -29, 16*o + 30*u = 25*u + 75 for o. 5 Solve j + 2*v = 18, -49*v + 44*v = 0 for j. 18 Solve -4*k = -332*b + 334*b - 20, 2*k + 40*b = 400 for k. 0 Solve 5*y = -6*y + 55, -5*i + y + 1 = 21 for i. -3 Solve 0 = 3*x - m - 19, -4*x = 29*m - 33*m - 60 for x. 2 Solve -2*x = 12*t - 10*t + 4, 2*x - 6 = 0 for t. -5 Solve 11*h + 4 = -2*y + 8*h, -h - 12 = -2*y for y. 4 Solve -24 = d + 5*z, -123*d + 126*d - z = 8 for d. 1 Solve -5*p = 7*v + 33, 51*p + 55*v - 34 = 47*p - 11 for p. -8 Solve 2*q = 2*h + 10, 34*q + 40 = -8*h + 39*q for h. -5 Solve -3*t + 1 = -h, h + 614*t = 615*t + 3 for h. 5 Solve -5*d - 8 - 15 = 4*l, -19 = 2*l + d for l. -12 Solve 3*c - 5*r + 6 = 0, -27 = -c + 46*r - 54*r for c. 3 Solve -20*m = 5*r - 24*m - 36, -13 = 3*m - 1 for r. 4 Solve 6897 = -3*p - 3*j + 6846, 86 = 5*p - 4*j for p. 2 Solve -378 = 42*p + 3*a, 5*p - 2*a - 317 = -362 for p. -9 Solve -5*x + 2*s - 3 - 17 = 0, 2*s = -5*x - 20 for x. -4 Solve 4*a = -2*l + 40, -10*l + 3*a - 30 = -9*l for l. 0 Solve 0 = -5*q + 35, -36*m + 5*q - 23 = -32*m for m. 3 Solve -10*m - 40 = -k, 3*m = 117*k - 122*k - 65 for m. -5 Solve 2*n - 9639*t + 9641*t = -6, 9 = -n + 5*t for n. -4 Solve 74 = 5*i + q, -5449*i - 41 = -5452*i - 4*q for i. 15 Solve -l = -97*n + 101*n + 5, l = 4*n + 11 for n. -2 Solve b = -4*x - 5, -3*x - 9 = 101*b - 102*b for b. 3 Solve -235*o - 104 = -26*b - 232*o, 3*o = -4*b + 16 for b. 4 Solve -2*c = 12*h - 6, -2*h + 214 = 4*c + 246 for c. -9 Solve 19*u - 18*u = 5*k - 13, 18*u - 6 = 3*k + 22*u for k. 2 Solve 5*y - 17 = 4*s, 2*s - 5 = y - 6 for s. 2 Solve -94 = 2*d - 8*y, 101 = -3*d + 778*y - 774*y for d. -27 Solve 2*g + 8 = 0, -2*a + 2*g = 1614 - 1628 for a. 3 Solve 0 = l + 5*g - 19, 2*l - 55210*g + 55209*g - 5 = 0 for l. 4 Solve 0 = -579*a + 582*a - 3*u, -5*a - 4*u = 0 for a. 0 Solve -l = -w - 8, 5*w = -3*l - 317 + 237 for l. -5 Solve -69*x - 2 = -2*u - 71*x, 5*u - 5 = -9*x for u. 1 Solve 3*n = i + 11, -206*n = -205*n + 2*i + 1 for n. 3 Solve 5*y + 3*c - 45 = -30, -c = -4*y - 5 for y. 0 Solve -2*k + 3 = 741*l - 736*l, k - 5*l = 9 for k. 4 Solve -2*g = -2*v - 2574 + 2552, -18 = 3*v for g. 5 Solve a + 9 = 3*d, 45*d + 3*a + 1 = 41*d for d. 2 Solve -21*o - 8*c = -19*o + 2*c - 70, 4*o - 3*c = -44 for o. -5 Solve 52*m + 9 = 2*c + 47*m, 0 = 4*c + 4*m + 24 for c. -3 Solve -j - 5*d - 50 + 51 = 0, -3 = -3*j - 2*d for j. 1 Solve k - 3 = -r, 5*r = 4*k - 1 + 7 for r. 2 Solve -b + 95 = -13*r, -3*r = -3*b - 6 + 39 for r. -7 Solve 5*t = i - 5, -365*i - 5*t - 5 = -370*i for i. 0 Solve 11*v - 14*v + 30 = -m, 2*m + 2*v - 12 = 0 for m. -3 Solve -4*o - 25*d + 21*d - 12 = 0, d + 3 = 5*o for o. 0 Solve -22*d = -24*d - 3*n + 20, -8 = -3*d + n for d. 4 Solve -3*w + 127 = 2*u + 118, -3*w + 9 = -3*u for u. 0 Solve -6*y - z - 22 = 0, 734*y + 2*z + 11 = 733*y for y. -3 Solve -4*o + 30 = -5*q + 69, 2*q = -0*o + 4*o + 18 for o. -1 Solve 58173*n + 32 = 3*w + 58175*n, -n + 17 = 2*w for w. 2 Solve -7*j - d + 82 = -11*j, -4*j - 76 = 2*d for j. -20 Solve -19*t = -o - 4*o - 18*t - 20, 4*o = 3*t - 5 for o. -5 Solve -3*h - v + 3 = -13, -v -
{ "pile_set_name": "DM Mathematics" }
2. Let l be d(2). What is the least common multiple of (30/8)/((-9)/l) and 24? 120 Suppose -a + 3*t = -6, -3*a + a = 2*t - 28. What is the smallest common multiple of a and 20? 60 Let r(s) = 9*s**2 + 3*s + 2. What is the smallest common multiple of r(-1) and 110? 440 Suppose -6*q = -2*q. Suppose 3*b - w + 0*w - 22 = q, -6 = b - 3*w. Suppose -5*p = 20 - 65. What is the smallest common multiple of b and p? 9 Let r = -989 - -15809/16. Calculate the common denominator of -59/28 and r. 112 What is the lowest common multiple of 4/(-22) + 216/99 and 2? 2 Suppose -2*p = -g + 18256, 0*p - 91312 = -5*g + 2*p. Let d be 2/(-5) + g/10. Let u = -14525/8 + d. What is the common denominator of -67/2 and u? 8 Let o = 68107 - 2860355/42. Find the common denominator of o and 79/10. 210 Let i be 3/2 + (-3)/2. Suppose -n - 2*n + 72 = i. Calculate the common denominator of 3/(-9) - 230/n and 25/16. 48 Let k(o) = 4 - 6 + 3 - 2*o. Let u be k(-1). Suppose 0 = -w + 3*q + 27, 0 = u*w + 3*q + q - 107. Calculate the common denominator of -83/4 and w. 4 Suppose -t - 32 = -3*t. What is the least common multiple of t and 2? 16 Suppose -f + 3*i - 8 = 0, 2*f - i + 11 = -0*i. What is the common denominator of (-92)/(-160) - (-1)/f and 113/6? 24 Let l = 7799823790 + -58873069882013/7548. Let w = l - -2/1887. Calculate the common denominator of w and -57/7. 28 Let n be 5/((-15)/(-2))*6. Let b be -3 + (3 - 1) + n. Calculate the common denominator of (-3)/b*(-61)/(-20) and 33/8. 40 Find the common denominator of 35/6 and (3/(-10))/(6/105). 12 Suppose 5*y = -2*d - 219, 2*d - 4*d + 231 = -5*y. Find the common denominator of 1/(-3) - (-40)/y and 95/8. 72 Let c(k) = -k**3 - 2*k. Let y be c(-2). Suppose n - y = -n. Let r(j) = -j**3 - 5*j**2 - 2*j - 7. Calculate the lowest common multiple of r(-5) and n. 6 Suppose -4*b - p + 171 = 0, 4*b + 2*p - 4*p = 162. Calculate the lowest common multiple of 15 and b. 210 Let j = 990 - 19771/20. Calculate the common denominator of -107/20 and j. 20 Let f = -13716 - -301661/22. Let a = -26377/12 + 2188. Calculate the common denominator of f and a. 132 Let u = -8 - -13. Calculate the least common multiple of u and 10 - 3/(0 - -1). 35 Let n(g) = -g**2 + 10*g - 7. Let t be 106/14 - (-3)/7. What is the smallest common multiple of 5 and n(t)? 45 Calculate the common denominator of (-847)/22 - 2/2 and 63/16. 16 Suppose 2*d - 3*u - 23 = 0, 4*u + 8 = -3*d - 0. Suppose 3*q - 4*j - 24 = 0, -q + 5*j - 3 + 11 = 0. What is the lowest common multiple of 1 + 2/2 + d and q? 24 Let c be (15/6)/(1/(-2)). Let l(p) = p**3 + 4*p**2 - 6*p - 3. Let d be l(c). Find the common denominator of 17/12 and 37/20*-1 + d. 60 Let z = -11/108 - 5831/540. Let r = -1759 - -12275/7. Find the common denominator of r and z. 70 Let l = -5 - -4. Let u(o) = o**2 - o + 2. What is the least common multiple of (4/(-6))/(l/6) and u(-4)? 44 Let w be 3 + 0/(3 - 4). Find the common denominator of -40/11 and -1*w + 159/24. 88 Let h = 36 + -15. What is the lowest common multiple of 18 and (-9)/(-21) - (-285)/h? 126 Let d(c) = c**3 + 4*c**2 + 4*c + 3. Let w be d(-3). Let y be 58*806/(-5088) + w. Let t = 10/159 + y. What is the common denominator of -35/18 and t? 72 Suppose 0 = y + 2 - 11. What is the common denominator of 3/y + 43/12 and 87/2? 12 Let r(k) = k + 3. Suppose 0*f + 4*f - 32 = -4*u, 5*u - 12 = 2*f. Suppose -u*i + 83 - 27 = 0. Calculate the least common multiple of i and r(5). 56 Let v(b) = -4 + 0 - b**2 - 2 - 4 - 10*b. Let a(k) = -2*k + 4. Calculate the least common multiple of a(-7) and v(-8). 18 Let r = 29 - 12. Let g = -106 + 641/6. Find the common denominator of r and g. 6 Let d(r) be the first derivative of r**3/3 + 3*r**2/2 + 6*r + 1. Suppose 6*s = 2*s - 20. What is the least common multiple of 10 and d(s)? 80 Suppose -15 = 4*i + i. Calculate the lowest common multiple of 3 and (i + 15)*(-4)/(-6). 24 Let l = -70429/414 + 3730/23. Calculate the common denominator of 1205/(-560) + (-4)/14 and l. 144 Let b(a) = a. Let r(c) = 2*c + 1. Let p(t) = -6*b(t) + r(t). Let l be p(-3). Let m = l - 9. What is the lowest common multiple of m and 10? 20 Let w(y) = -y**3 - 6*y**2 - y - 3. Suppose 0*x + 30 = 3*x - 3*g, -2*x + 4*g + 20 = 0. Calculate the least common multiple of x and w(-6). 30 Let g be (-6)/(-2) - (0 - -1). Find the common denominator of -37*3/(-36) - g and 111/22. 132 Suppose -10 = x - 2*x. Suppose 2*b = 3*b - 2*q - 2, 3 = b - q. Calculate the least common multiple of x and b. 20 Let i(r) = -5*r - 19. What is the smallest common multiple of i(-5) and 14? 42 Let r be (-8)/199766943*(-16479)/6. Let p = 6/12421 - r. Let u = p - 487883/85776. Calculate the common denominator of u and -103/6. 48 Let z = 42 - 38. Calculate the lowest common multiple of z and 16. 16 Suppose 5*l = -s + 18, 0*s - 2*s = -5*l - 21. Let y = s + -11. What is the lowest common multiple of 11 and y? 22 Let t = -2 + 7. What is the smallest common multiple of (-1)/(((-20)/12)/t) and 3? 3 Let m be ((-2)/(1788/3266))/1. Let l = m - 2/149. Find the common denominator of (1/(-9))/((-4 - -2)/12) and l. 3 Let k = 0 - -5. Let x(l) = -2*l + 6. Let z be x(k). Find the common denominator of -1/7 and (-2)/z + 0 + 20. 14 Suppose -41 = 3*i + 2*p, -5*p = -8*i + 3*i - 60. Calculate the smallest common multiple of 14/(-28) - i/2 and 18. 18 Let t be (107/4)/((-1)/4). Let s = -60 - t. Find the common denominator of -61/6 and s. 6 Let f = -7399 - -125828/17. What is the common denominator of 10/9 and f? 153 Find the common denominator of 49/24 and (29/(-4))/((-189)/(-28) + -6). 24 Calculate the common denominator of 93/8 and (-2)/12*(-297)/(-69). 184 Let n be 12/((-4)/((-16)/6)). Let j = -289059/26510 - -10/2651. Find the common denominator of 46/n + 4/6 and j. 60 Let c be -2 + (-18)/((-6)/2). Suppose c*h + 0*h + 8 = 4*k, 0 = -k - 2*h + 11. Let z(x) = x + 2. What is the lowest common multiple of 2 and z(k)? 14 Let p(o) = -2*o - 2*o**2 + 0*o + o + 2 - o**3 + 0*o. Let m be p(-2). Suppose 0 = 2*z - 3*z + m. Calculate the smallest common multiple of 14 and z. 28 Let o = 2/59817 - 2612021/358902. Let v = -541 + 1151/2. What is the common denominator of v and o? 18 Suppose 0 = 4*o - 5*o + 3. Suppose o*u - 4*u = 5, 0 = -2*t - u + 1. What is the smallest common multiple of t and 7? 21 Let b = 118 - 63. What is the least common multiple of b and 35? 385 Suppose 12 = -0*i + 2*i. Let m(w) = -w + 3. Let t be m(0). Suppose -t*d + 25 = 4. Calculate the least common multiple of i and d. 42 Let w be (2/(-3))/(-1)*3. Suppose 0 = b + w*a + 2*a - 14, 0 = 5*b - 4*a + 50. What is the smallest common multiple of 12 and (-2)/b + (-106)/(-6)? 36 Let y(j) = -j**3 + 11*j**2 - 5*j - 10. Let g be y(10). What is the common denominator of (1 + 5)*78/g and -89/4? 20 Let p = 13 + -11. Calculate the smallest common multiple of p and 16. 16 Let z = -27 + 59. What is the smallest common multiple of z and 8? 32 Suppose -45 = g + 5*p, 0*g - 4*p - 78 = 2*g. Let v = 51 + g. What is the smallest common multiple of 16 and v? 16 What is the lowest common multiple of 40 and (6 - (-96)/(-18))/((-2)/(-60))? 40 Let c = 0 - -4. Calculate the least common multiple of 8 and c. 8 Let f(m) = 9*m**2 - 3 + 6 + 3 - 2*m - 7*m**2. Calculate the lowest common multiple of f(-5) and 8. 264 Let q = 3 + -23. Let h = 73 + q. Suppose -5*k + 2*d = -40, 5*d = 4*k + 4 - h. What is the least common multiple of k and 2? 6 What is the smallest common multiple of -1*(5 - 1)/8*-8 and 2? 4 What is the common denominator of -1 + 246/(-40) - -4 and 19/14? 140 Let f = 12 + -9. Calculate the least common multiple of 9/f - (-1 + -2) and 8. 24 Find the common denominator of 1862/152 - (-2)/(-4) and -67/42. 84 Let x = 3662 - 95259/26. Calculate the common denominator of 5/18 and x. 234 Let f = 55/81 + 3445/891. What is the common denominator of f and (6 - 78/15) + -1 + 10? 55 Calculate the common denominator of 6/(-144)*(2 + 17*12) and 97/14. 84 Let j = 535 + -5337/10. Let z = -177/10 - -241/5. Find the common denominator of z and j. 10 Let z = -58915/16 + 3681. Let d = -6480809/665754 + -62/5457. Let o = -1/244 + d. Find the common denominator of o and z. 16 Suppose -3*m - o + 57 = 0, 0 = 4*m - 2*m + 2*o - 34. Let b = -12 + m. Calculate the least common multiple of b and 6. 24 Let d = -2 + -2. Calculate the
{ "pile_set_name": "DM Mathematics" }