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*((-25)/2 + (13 - 11) + 6). 7 Let p be (-1 + 220/(-8))/((-15)/10). Suppose -4 + p = 2*r + j, 57 = 5*r - 4*j. Calculate the remainder when 44 is divided by r. 8 Calculate the remainder when 3617 is divided by 14*(4 + -2) + (26 - 27). 26 Let q(u) = 4*u**2 + 105*u + 106. Calculate the remainder when q(-38) is divided by 87. 65 Let b = 17973 - 17967. Calculate the remainder when (0 - 1)*(-5 - 4) is divided by b. 3 Suppose 683*o - 685*o - 4186 = -4*b, -3*b + 3138 = -3*o. Calculate the remainder when b is divided by 83. 51 What is the remainder when 1385 is divided by 181 + (132 + -131)*(1 - -9)? 48 Let d(l) = 2*l**3 - 14*l**2 - 17*l - 16. Let c be d(9). Suppose -c*x = -145*x - 50. What is the remainder when 23 is divided by x? 3 Suppose m - k = 34, -m + 7 + 35 = 3*k. What is the remainder when 3778 is divided by m? 34 Let j = 297 - 255. Suppose 5*o + j = 6*o - 4*f, 0 = 2*o - 3*f - 99. What is the remainder when 106 is divided by o? 52 Let d(g) = -100*g + 3169. What is the remainder when d(-11) is divided by 178? 175 Suppose -n = 4*n - 170. Suppose -901*z + 902*z = -2*r + 237, -943 = -4*z - 3*r. Calculate the remainder when z is divided by n. 31 Suppose 0 = -5*p - 3*u + 4982, 2*p + 5*u - 2152 = -182. Calculate the remainder when p is divided by 314. 58 Suppose -4*a + 2*p + 174 = 0, p - 4*p = 5*a - 212. Suppose -6*n + 9*n + 210 = 3*h, 4*h - 3*n - 278 = 0. What is the remainder when h is divided by a? 25 Let i(t) = -t**3 + 11*t**2 + 21*t + 5. Suppose -11*x = 6 - 138. Calculate the remainder when i(x) is divided by 58. 55 Suppose -o = n - 4*o - 343, n = -9*o + 367. Let s = 14 + 8. Calculate the remainder when n is divided by s. 19 Let w(u) = 2258*u - 369. What is the remainder when w(1) is divided by 100? 89 Suppose 3*u - 4 = 5*u. Calculate the remainder when 439 is divided by u/12 - 615/(-18). 31 Suppose -167*c + 163*c + 12 = 0. What is the remainder when (17*c - (-30)/10) + 1 is divided by 20? 15 Let t = -658 - -675. Suppose -u + 452 - 98 = 0. Suppose -v = 2*v - u. Calculate the remainder when v is divided by t. 16 Suppose -4*v = -5*p + 924, -5*v + 3*v + 918 = 5*p. What is the remainder when p is divided by 82? 20 Let r(h) = -h**2 - 6*h + 7. Suppose 13939 = 71*k + 4141. Calculate the remainder when k is divided by r(-6). 5 Suppose -40*p - 282 = -42*p - 3*t, -4*t = -5*p + 705. Calculate the remainder when p is divided by 16. 13 Let f be (-2)/(-6) + 3 + 980/(-15). Calculate the remainder when ((-22)/6)/((-1)/33) is divided by (-2)/((0 - -6 - 2)/f). 28 Let d(y) = -y**3 + 14*y**2 + 21*y + 15. Let m be d(16). Let z = m - -271. Let f = -39 - -47. Calculate the remainder when z is divided by f. 6 Suppose 0 = -3*x - x + 140. Suppose 0 = -2*c + p + x, -3*c = -5*c - 5*p + 41. Let f = 21167 - 21161. What is the remainder when c is divided by f? 0 Let i be 1*((-315)/7 + 8). Let l = i - -110. What is the remainder when 1166 is divided by l? 71 Suppose 4*q + 14*v - 13*v = 18, q - 5*v = 15. Suppose 0 = 3*s + 4*c - 1723, 5*s + q*c - 578 = 4*s. What is the remainder when s is divided by 32? 29 Suppose 4*l - 8*p - 102 + 22 = 0, -2*l - p + 65 = 0. What is the remainder when 84 is divided by l? 24 Suppose -12 = -4*h - 2*u, -10*h + 22 = -6*h - 3*u. Calculate the remainder when 400/6 - (-4)/(-6) is divided by h + -5 + (3 - -22). 18 Let n(r) = -r**2 - 15*r + 119. Let j be n(-20). Suppose 8*q - j*q + 704 = 0. Calculate the remainder when 830 is divided by q. 62 Suppose 66*n = 54*n - 110*n + 482266. Calculate the remainder when n is divided by 17. 9 Let o be (1 - (-52)/12)*(-57)/(-76). Suppose -186 = -9*l + 5*l + c, c - 182 = -o*l. Calculate the remainder when 135 is divided by l. 43 Suppose 2*c = c - 65. Suppose 0 = 3*p + 4*d - 79 - 225, 4*d = -p + 112. Let w = p + c. What is the remainder when w is divided by 11? 9 Let g(x) = 118*x**2 + 2*x - 1. What is the remainder when g(1) is divided by -12*((-2484)/144 - -15)? 11 Let s = -64 - -92. Let v = -32 - -17. Let a = 21 + v. What is the remainder when s is divided by a? 4 Let j = 536 + -532. What is the remainder when 42 is divided by -2*(-9)/8*j? 6 Let t = -15986 - -17222. What is the remainder when t is divided by 113? 106 Suppose -35*l + 160718 = 136*l + 155*l. Let s(f) = -f**3 - f + 3. Calculate the remainder when l is divided by s(-3). 31 Suppose h + 278 = 5*y, 5*h - 187 - 19 = -3*y. What is the remainder when y is divided by 17? 6 Suppose 36*n = 5*j + 32*n - 150, -2*j - 2*n + 42 = 0. What is the remainder when 166 is divided by j? 10 Let n be (125 + 0)*1*4/(-10). Let d = n + 224. What is the remainder when -4 - -6*d/9 is divided by 39? 34 Let t = -6148 + 7733. Calculate the remainder when t is divided by 82. 27 Let b(g) = g**2 + 7*g + 8. Let i be b(-6). Suppose 0 = -0*m - m + i. Suppose 28 = 3*l - m. What is the remainder when l is divided by 4? 2 Suppose 3*u + 36 = -3*v, 50 = -5*u + 4*v + v. Let j = u + 20. Let x(k) = -k**3 + 8*k**2 + 11*k - 5. Calculate the remainder when 90 is divided by x(j). 12 Let y = -985 - -1028. Calculate the remainder when 5630 is divided by y. 40 Suppose 0 = 2*b + 3*s - 41 - 78, -2*s + 118 = 2*b. Let t = -30 + 45. What is the remainder when b is divided by t? 13 What is the remainder when (20/(-50))/((-10)/12175) + 1 + -5 is divided by 121? 120 Let t = 2697 - 2640. What is the remainder when 734 is divided by t? 50 Suppose 460*h + 457*h = 972*h - 5115. What is the remainder when h is divided by 22? 5 Suppose -4*u - 26 + 2 = 0. Let y be -7 - (-5)/(-10)*u. What is the remainder when (y - -1) + 3 + -1 - -77 is divided by 13? 11 Let d(y) = -4*y - 8. Let b = -53 - -39. Calculate the remainder when d(b) is divided by 10. 8 Suppose -273 = -4*l + 3*n, 15*l - n - 68 = 14*l. Suppose -7*x - 494 = -26*x. What is the remainder when l is divided by x? 17 Suppose -f = -3*v - 2*f + 338, v + f - 114 = 0. Let i = 262 - v. What is the remainder when i is divided by 23? 12 Suppose 3*m = 2*w + 1, 6*w + 4*m = 3*w + 24. Let q be (-3)/7*(w - -2)*-7. Let p = 26 - q. Calculate the remainder when 69 is divided by p. 5 Let k(g) = -3*g**3 - 4*g**2 - 2*g. Let p be k(-2). Suppose -2*b + 5*q + 0 = -8, 3*b - p = 4*q. What is the remainder when 190 is divided by 1/((-2)/(-256)*b)? 30 Let g be (-27)/18*(-4)/6. Let q = 20 - 14. What is the remainder when ((-32)/g)/(-1)*11/22 is divided by q? 4 Suppose -j + 12*t = 7*t - 2, 0 = j + t - 20. What is the remainder when 76 is divided by j? 8 Let i(y) = 2*y**2 - 1 + 4 + 3*y + 1 - 5. Let p = -495 + 509. Calculate the remainder when p is divided by i(-3). 6 Let n = -2 + 212. Calculate the remainder when n is divided by 110. 100 Let m = -16287 + 16347. What is the remainder when 21178 is divided by m? 58 Let f = 2047 + -2044. Suppose 0 = f*l - 44 - 136. Let p = -10 - -18. Calculate the remainder when l is divided by p. 4 Suppose -4*o + 48 + 7 = 5*v, -2*v + 4*o = -50. Suppose 55 = 2*h + v. Suppose h - 6 = l + 3*j, 2*l - j = 0. Calculate the remainder when 10 is divided by l. 0 Let r = 3300 + -3290. Let s(m) = 4*m**2 + 2*m + 4. Suppose -2 - 1 = -j. What is the remainder when s(j) is divided by r? 6 Let m(r) = 8*r + 8*r - 17 + 87 + 19. Let y(b) = -2*b**3 + 2*b**2 + 1. What is the remainder when y(-2) is divided by m(-5)? 7 Let b = 167 - -2. Calculate the remainder when b is divided by 24. 1 Let g = -49 - -94. Suppose -30422 + 2066 = -278*o. What is the remainder when o is divided by g? 12 Suppose 0 = 3*o + c - 305 - 73, -520 = -4*o + 4*c. Suppose 8*w + 4*b = 5*w + o, 2*b = -w + 41. What is the remainder when 174 is divided by w? 39 Suppose -39*s - 123 + 1449 = 0. Let t(l) = l**3 + 11*l**2 - 3*l - 1. Calculate the remainder when t(-5) is divided by s. 28 Let o(k) = k**2 + 45*k + 510. Suppose -85 = -5*b + 5*l, 0*l = 3*l + 12. What is the remainder when o(-29) is divided by b? 7 Let c = -18285 - -18363. Calculate the remainder when 1394 is divided by c. 68 Suppose 109*f - 6443 - 84463 = 0. What is the remainder when f is divided by 94? 82 Suppose 0 = v + 2, -q = 3*v - 16 + 3. Let d = 339 - -86. Suppose -125 = 10*x - d. What is the remainder when x is divided by q? 11 Let t(o) = -8*o**2 - 82*o - 12. Let h be t(-10). What is the remainder when 1*(-30)/(-25)*740/h is divided by 44? 23 Let j(c) = -185*c + 2387. Calculate the remainder when j(10) is divided by 14. 5 Suppose -547 - 1203 = -35*i.
{ "pile_set_name": "DM Mathematics" }
divided by 15? 13 Calculate the remainder when 109 is divided by 13. 5 Calculate the remainder when 388 is divided by 136. 116 What is the remainder when 2396 is divided by 22? 20 What is the remainder when 1530 is divided by 256? 250 Calculate the remainder when 346 is divided by 79. 30 Calculate the remainder when 640 is divided by 12. 4 Calculate the remainder when 1255 is divided by 74. 71 What is the remainder when 288 is divided by 102? 84 Calculate the remainder when 124 is divided by 36. 16 What is the remainder when 5966 is divided by 259? 9 What is the remainder when 1800 is divided by 22? 18 Calculate the remainder when 362 is divided by 191. 171 What is the remainder when 1816 is divided by 38? 30 Calculate the remainder when 2130 is divided by 65. 50 Calculate the remainder when 759 is divided by 99. 66 Calculate the remainder when 1347 is divided by 340. 327 Calculate the remainder when 151 is divided by 47. 10 Calculate the remainder when 18 is divided by 15. 3 Calculate the remainder when 8115 is divided by 2703. 6 What is the remainder when 336 is divided by 85? 81 What is the remainder when 576 is divided by 54? 36 Calculate the remainder when 542 is divided by 270. 2 What is the remainder when 221 is divided by 30? 11 Calculate the remainder when 3420 is divided by 7. 4 What is the remainder when 1963 is divided by 485? 23 What is the remainder when 135 is divided by 35? 30 What is the remainder when 196 is divided by 69? 58 Calculate the remainder when 200 is divided by 27. 11 Calculate the remainder when 153 is divided by 10. 3 What is the remainder when 311 is divided by 3? 2 What is the remainder when 612 is divided by 345? 267 Calculate the remainder when 763 is divided by 17. 15 Calculate the remainder when 898 is divided by 20. 18 Calculate the remainder when 207 is divided by 44. 31 What is the remainder when 75 is divided by 6? 3 Calculate the remainder when 1263 is divided by 8. 7 Calculate the remainder when 190 is divided by 38. 0 What is the remainder when 20 is divided by 4? 0 What is the remainder when 190 is divided by 96? 94 What is the remainder when 555 is divided by 40? 35 Calculate the remainder when 548 is divided by 177. 17 Calculate the remainder when 69 is divided by 37. 32 Calculate the remainder when 557 is divided by 11. 7 What is the remainder when 2840 is divided by 49? 47 Calculate the remainder when 833 is divided by 147. 98 Calculate the remainder when 220 is divided by 20. 0 What is the remainder when 705 is divided by 336? 33 What is the remainder when 40857 is divided by 45? 42 Calculate the remainder when 2498 is divided by 37. 19 What is the remainder when 132 is divided by 45? 42 Calculate the remainder when 517 is divided by 10. 7 What is the remainder when 512 is divided by 178? 156 Calculate the remainder when 1185 is divided by 44. 41 Calculate the remainder when 445 is divided by 114. 103 Calculate the remainder when 1434 is divided by 33. 15 What is the remainder when 530 is divided by 52? 10 What is the remainder when 112 is divided by 42? 28 Calculate the remainder when 167 is divided by 8. 7 What is the remainder when 1322 is divided by 419? 65 What is the remainder when 467 is divided by 7? 5 What is the remainder when 35 is divided by 18? 17 Calculate the remainder when 414 is divided by 35. 29 What is the remainder when 2206 is divided by 245? 1 What is the remainder when 194 is divided by 93? 8 Calculate the remainder when 441 is divided by 237. 204 What is the remainder when 234 is divided by 14? 10 What is the remainder when 357 is divided by 128? 101 Calculate the remainder when 364 is divided by 177. 10 What is the remainder when 262 is divided by 39? 28 Calculate the remainder when 831 is divided by 47. 32 Calculate the remainder when 8574 is divided by 35. 34 What is the remainder when 26043 is divided by 68? 67 Calculate the remainder when 799 is divided by 50. 49 What is the remainder when 240 is divided by 51? 36 What is the remainder when 3402 is divided by 46? 44 What is the remainder when 1341 is divided by 21? 18 Calculate the remainder when 936 is divided by 5. 1 Calculate the remainder when 415 is divided by 16. 15 What is the remainder when 2897 is divided by 69? 68 Calculate the remainder when 678 is divided by 135. 3 What is the remainder when 2174 is divided by 157? 133 Calculate the remainder when 6404 is divided by 13. 8 What is the remainder when 45 is divided by 16? 13 Calculate the remainder when 1361 is divided by 66. 41 Calculate the remainder when 123 is divided by 61. 1 Calculate the remainder when 161 is divided by 22. 7 What is the remainder when 7496 is divided by 119? 118 What is the remainder when 219 is divided by 21? 9 What is the remainder when 209 is divided by 46? 25 What is the remainder when 11824 is divided by 215? 214 What is the remainder when 35 is divided by 12? 11 Calculate the remainder when 378 is divided by 231. 147 Calculate the remainder when 284 is divided by 132. 20 What is the remainder when 120 is divided by 34? 18 What is the remainder when 1522 is divided by 191? 185 What is the remainder when 195 is divided by 9? 6 Calculate the remainder when 1173 is divided by 98. 95 Calculate the remainder when 860 is divided by 36. 32 Calculate the remainder when 117 is divided by 97. 20 What is the remainder when 1055 is divided by 1031? 24 Calculate the remainder when 209 is divided by 30. 29 What is the remainder when 16824 is divided by 47? 45 What is the remainder when 724 is divided by 61? 53 Calculate the remainder when 1517 is divided by 550. 417 Calculate the remainder when 11656 is divided by 29. 27 Calculate the remainder when 587 is divided by 33. 26 Calculate the remainder when 1360 is divided by 452. 4 What is the remainder when 63 is divided by 17? 12 Calculate the remainder when 27 is divided by 16. 11 Calculate the remainder when 6556 is divided by 193. 187 What is the remainder when 1722 is divided by 23? 20 Calculate the remainder when 964 is divided by 947. 17 What is the remainder when 885 is divided by 24? 21 Calculate the remainder when 536 is divided by 124. 40 What is the remainder when 114 is divided by 40? 34 What is the remainder when 423 is divided by 5? 3 Calculate the remainder when 35 is divided by 31. 4 Calculate the remainder when 1301 is divided by 8. 5 Calculate the remainder when 384 is divided by 65. 59 What is the remainder when 339 is divided by 34? 33 Calculate the remainder when 127 is divided by 67. 60 What is the remainder when 151 is divided by 58? 35 What is the remainder when 207 is divided by 103? 1 Calculate the remainder when 248 is divided by 95. 58 Calculate the remainder when 5123 is divided by 19. 12 Calculate the remainder when 366 is divided by 148. 70 What is the remainder when 15 is divided by 6? 3 What is the remainder when 603 is divided by 121? 119 Calculate the remainder when 293 is divided by 135. 23 What is the remainder when 177 is divided by 85? 7 Calculate the remainder when 47 is divided by 29. 18 Calculate the remainder when 422 is divided by 47. 46 Calculate the remainder when 5782 is divided by 5779. 3 Calculate the remainder when 5020 is divided by 186. 184 Calculate the remainder when 77 is divided by 16. 13 What is the remainder when 82 is divided by 42? 40 Calculate the remainder when 240 is divided by 45. 15 Calculate the remainder when 854 is divided by 427. 0 Calculate the remainder when 216 is divided by 38. 26 Calculate the remainder when 598 is divided by 555. 43 What is the remainder when 270 is divided by 97? 76 What is the remainder when 2000 is divided by 91? 89 Calculate the remainder when 477 is divided by 15. 12 Calculate the remainder when 301 is divided by 103. 95 Calculate the remainder when 1103 is divided by 48. 47 What is the remainder when 3874 is divided by 1932? 10 What is the remainder when 1063 is divided by 210? 13 What is the remainder when 1319 is divided by 44? 43 Calculate the remainder when 82 is divided by 19. 6 Calculate the remainder when 334 is divided by 21. 19 What is the remainder when 917 is divided by 10? 7 What is the remainder when 88 is divided by 44? 0 What is the remainder when 143 is divided by 30? 23 What
{ "pile_set_name": "DM Mathematics" }
Which is the third biggest value? (a) 0.4 (b) -5 (c) -5/21332 (d) -4 d What is the fourth biggest value in -557, 6/7, -1/12, -5? -557 What is the fifth biggest value in 1, -27/11, -1.14, 22, 1/3? -27/11 Which is the fourth biggest value? (a) -0.3 (b) 130 (c) 1/3 (d) -8 (e) 71/2 (f) 1 c What is the third biggest value in 3/8, 4055/2, -3, 0.13616? 0.13616 What is the third smallest value in 3/11, -2, -4, -1/5, 1/7, -2330? -2 Which is the third biggest value? (a) 38 (b) -4 (c) -4233 (d) -1.93 (e) -3 e Which is the fifth smallest value? (a) -0.03 (b) -5 (c) -4 (d) 2 (e) 15 (f) 38 e Which is the second biggest value? (a) 0.22 (b) 272 (c) 0.5 (d) 12 d What is the second smallest value in -11, 7, 2, -835/4? -11 What is the fourth smallest value in -2/5, 178648, 26, 0.3? 178648 What is the third smallest value in -1/32, 0.3, 3.3, 86, -3, 3/8, -14? -1/32 Which is the fourth smallest value? (a) 0 (b) 13 (c) -1 (d) -20 (e) 0.3 (f) 15 (g) -50 a Which is the seventh biggest value? (a) 458 (b) -0.5 (c) -4 (d) 2.12 (e) -7 (f) -2/5 (g) 2 e What is the smallest value in 5020, 1/5, 4/73, -0.5? -0.5 What is the biggest value in -1/7, 3/5, 1/2, -40, 1, -1748? 1 What is the seventh biggest value in 2/7, 1, 54, -0.2, 11, 0.2, 0? -0.2 What is the third smallest value in 2/7, 258, 2, -0.2, -7.83? 2/7 Which is the fourth smallest value? (a) -1/6 (b) 0.4 (c) 8690 (d) 5 (e) -0.5 (f) -6 b Which is the second biggest value? (a) -0.3 (b) 2.9 (c) 23367.7 (d) -2 b What is the biggest value in -52806, 309, 2/3, 3? 309 What is the smallest value in 0.052, -358/1065, 5? -358/1065 Which is the fifth smallest value? (a) -1/3 (b) 4.6 (c) 5/6 (d) -5 (e) -3 (f) -352/7 (g) 0.05 g What is the second biggest value in -1/6, -8617, 0.054? -1/6 What is the second smallest value in -3, -2/9, 0.05773, 4/3, 2/9? -2/9 Which is the third smallest value? (a) 3 (b) -2/9 (c) 503229/28 c What is the second biggest value in 857.989, 0.2, -2/7? 0.2 Which is the third smallest value? (a) 16574389 (b) -0.5 (c) 5/3 a Which is the second smallest value? (a) -317 (b) -100215 (c) -1 a Which is the smallest value? (a) 0.117 (b) 6/7 (c) 2/55 c Which is the second biggest value? (a) 2/15 (b) 335 (c) 1/10 (d) -5 (e) 2/709 (f) 1.4 (g) 0.5 f What is the second biggest value in 35, -2, -32199, 4? 4 Which is the third biggest value? (a) 5 (b) -3 (c) -1 (d) -6 (e) 0.04 (f) -1/2 (g) 2/317 g Which is the second smallest value? (a) 13/5 (b) -1 (c) -0.2 (d) -0.5 (e) 1.7 (f) 17/4 d Which is the biggest value? (a) 2/39 (b) 0.1 (c) -144.91 b What is the third smallest value in 2, 21532, -677.5? 21532 Which is the seventh smallest value? (a) 0.15 (b) 2/13 (c) -0.018 (d) -2/9 (e) -4 (f) -3 (g) 1/3 g What is the fourth smallest value in -2, -11, 3, 51, -155/7? 3 What is the fifth smallest value in -2/11, 181, -1, -5, 18? 181 Which is the second biggest value? (a) 0 (b) 2/1093 (c) -2/9 (d) 6 (e) -0.2 b What is the fifth biggest value in -149, 0.02, -3, 5, 3, 19? -3 What is the third biggest value in 6, 6/11, 2.628? 6/11 What is the second biggest value in 5, -5/24, -2.47, 0.3, 1/2, 60, 1? 5 What is the fourth smallest value in -2/21, 0, 19, 0.01, 0.16, 5, 115? 0.16 Which is the second biggest value? (a) 5/6 (b) 4/281 (c) 0.112 (d) 66 a Which is the second smallest value? (a) -1.4 (b) 3.118 (c) -1/3 (d) -0.09 c Which is the smallest value? (a) 1/8 (b) 2/85 (c) 2 (d) -211 d Which is the fifth smallest value? (a) -57 (b) -2/9 (c) -738 (d) 0.06 (e) -5 d Which is the third biggest value? (a) 1 (b) 15 (c) -5/2 (d) 1809 (e) -5 (f) 2 (g) -1.3 f Which is the fourth biggest value? (a) -2/11 (b) 2 (c) -4 (d) 75 (e) -1.731 e Which is the second biggest value? (a) -0.1 (b) 260/11 (c) 72 (d) -31 b Which is the third biggest value? (a) 0.2 (b) 1/9 (c) 3 (d) 732 (e) -2 (f) -2/47 (g) -15 a What is the smallest value in -1783, 11, -0.043? -1783 What is the fourth smallest value in -0.21736, -3.62, -7, -0.2, -3? -0.21736 What is the third smallest value in 1.705, 2.1, -823, -5? 1.705 Which is the seventh smallest value? (a) -17 (b) 17 (c) -0.04 (d) -1/3 (e) 3/4 (f) 2/89 (g) 0 b Which is the biggest value? (a) -0.4440964 (b) -1/2 (c) 0 c Which is the biggest value? (a) -2/15 (b) 2/5003 (c) 159 c What is the seventh biggest value in 4/7, 6, -1, 0.1, 1, -11, 14? -11 Which is the third smallest value? (a) -106/5 (b) 2/5 (c) -7886 (d) 4 (e) 6 (f) -3 f What is the fifth biggest value in 16, 10, -2/5, -1.7, -0.1, -23? -1.7 What is the biggest value in -2, 3/7, -3/4, -0.8, 3, 1.16, 0.5? 3 What is the fourth smallest value in -0.3, 1/2, -4, 2, 2/9959, 0.003? 0.003 Which is the biggest value? (a) 129 (b) -2 (c) -4 (d) 25.6 a What is the fourth biggest value in -0.3, -2, 0.04, -0.11, -0.08, 16, -42? -0.11 Which is the fifth smallest value? (a) -3/4 (b) -5 (c) -26 (d) 1/5 (e) 1/20 (f) 1 d Which is the third biggest value? (a) -3.434 (b) -19 (c) 13 (d) -2 a What is the sixth biggest value in 1/2, 0.03, -10, -31.83, -2.2, 4? -31.83 Which is the third smallest value? (a) 41 (b) -134203 (c) 1/9 a Which is the second biggest value? (a) -0.1 (b) 1/7 (c) 224 (d) -3 (e) 41 (f) 8 e What is the fifth biggest value in 33/7, 1, -5/2, 45.5, -2/3, 0.4? -2/3 Which is the third smallest value? (a) -9 (b) -290 (c) 0.13 (d) 2/3 (e) 0 (f) -4 f What is the smallest value in 168586.45, -4, 0.2? -4 What is the second biggest value in 11, 223, 656? 223 What is the fourth smallest value in -4, -0.11, 1, 43.72, 3/7, -1? 3/7 Which is the second biggest value? (a) 2/9 (b) -2/9 (c) 357426 (d) 5 d What is the third smallest value in 3/290, 10.07, -2/7? 10.07 Which is the smallest value? (a) 0.0434 (b) -1037 (c) 1/3 b What is the second biggest value in -25/13, -2/9, 18, 413? 18 Which is the fourth smallest value? (a) 2 (b) 0.03 (c) -6 (d) 4 (e) 3 (f) -1.0228 a Which is the biggest value? (a) -6 (b) 0.147 (c) 1/2 (d) 5/7 (e) -1 (f) -10 d What is the fifth smallest value in 0.018, 572, 0.04, 0.4, 2/15, 0.6? 0.6 What is the biggest value in 53/4, -341, -9? 53/4 What is the fifth smallest value in -81, 4/9, -1/2, -3/13, -0.7, -1/3, 5? -3/13 What is the second biggest value in -546.32975, 0.4, -1? -1 Which is the third smallest value? (a) 2/5 (b) 4 (c) -2/11 (d) 68583 (e) -0.0114 a What is the smallest value in 6, 4308780, -4/3? -4/3 What is the fourth smallest value in 0, -202, 816, -9? 816 Which is the fourth smallest value? (a) -2/7 (b) -1/7 (c) -0.326 (d) -3/944 (e) 5 d What is the third smallest value in 153, -1432, -14? 153 Which is the fifth biggest value? (a) -5 (b) 488.4 (c) -0.3 (d) -2/35 (e) 1 a What is the second smallest value in -0.3, -2/7, 3/7, -0.1, -3, 3/19, -3/19? -0.3 What is the fifth biggest value in -620.2, -5/316, 2/5, 2/13, 0.5? -620.2 What is the sixth smallest value in -0.1, -1, 9, 3, -8/15, 0.03? 9 Which is the biggest value? (a) -0.3299 (b) -10 (c) -6/11 a Which is the third biggest value? (a) 0.3 (b) 0.1862 (c) -2 (d) 271 b Which is the biggest value? (a) 10546 (b) 2/9 (c) -1/3 (d) -3 (e) -4 (f) -449 (g) -2/7 a What is the biggest value in 0, 2.3, -115741? 2.3 What is the second biggest value in -9, 29/111, -0.2, 0.3, -6/7? 29/111 What is the third smallest value in -2/7, -173, 1759.3? 1759.3 Which is the second smallest value? (a) 2 (b) -105 (c) -4 (d) -19 (e) 61/6 d What is the fifth smallest value in 9, 0.3, -5, 19, -0.1091? 19 Which is the third biggest value? (a) -3 (b) 3/10 (c) 4/15 (d) -4301 a What is the seventh smallest value in 100, -0.5, 39, 1/2, -3, 1, -80? 100 What is the biggest value in -73/10, -672, 1? 1 What is the fourth biggest value in -4, -10, -3.4, 3, 191? -4 Which is the third smallest value? (a) -8846 (b) -2 (c) -7 (d) 5/3 (e) -1 (f) 5 (g) -0.4 b Which is the third biggest value? (a) -1/1935 (b) -18/5 (c) 3 (d) -2/5 d What is the fourth smallest value in 390, 10, -9/29, 2/15? 390 Which is the fifth biggest value? (a) 1/8 (b) -3 (c) -3/7 (d) 1 (e) -5/4 (f) 1/66 e What is the smallest value in -2/5, -24, 3/2, -2, 3, 1, -3? -24 What is the second biggest value in -0.1, -0.4
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {g: 7, v: 3, h: 2, k: 2, e: 4}? 7/1020 Two letters picked without replacement from {e: 2, a: 8, g: 1, o: 2, v: 1}. Give prob of picking 1 v and 1 g. 1/91 Calculate prob of picking 2 e and 1 s when three letters picked without replacement from {e: 3, w: 7, s: 3, x: 1}. 9/364 Two letters picked without replacement from vmjjdcv. Give prob of picking 1 v and 1 m. 2/21 Two letters picked without replacement from {a: 1, t: 1, s: 1, j: 1, m: 3}. Give prob of picking 1 a and 1 t. 1/21 Calculate prob of picking 1 v and 2 h when three letters picked without replacement from {v: 4, h: 5, f: 6, k: 5}. 2/57 Calculate prob of picking 1 f and 1 a when two letters picked without replacement from yawfbws. 1/21 Calculate prob of picking 2 b, 1 z, and 1 t when four letters picked without replacement from {z: 10, b: 3, e: 3, t: 3}. 15/646 What is prob of picking 2 e when two letters picked without replacement from ejjejj? 1/15 Two letters picked without replacement from rxrdbzxu. Give prob of picking 2 x. 1/28 Two letters picked without replacement from zazczzzzzzzzaaacazzz. Give prob of picking 1 c and 1 z. 13/95 Two letters picked without replacement from zznnzenevzzlvzxzvn. What is prob of picking 2 v? 1/51 What is prob of picking 2 d, 1 b, and 1 f when four letters picked without replacement from {d: 4, b: 3, i: 5, f: 4}? 18/455 Calculate prob of picking 3 t when three letters picked without replacement from tttssstsst. 1/12 What is prob of picking 2 l and 2 u when four letters picked without replacement from ssllssluulsullfsfu? 1/34 What is prob of picking 1 o and 3 n when four letters picked without replacement from {a: 3, c: 4, n: 4, o: 1, q: 1, g: 4}? 1/595 Two letters picked without replacement from uhqzmjzu. What is prob of picking 1 m and 1 u? 1/14 Calculate prob of picking 1 q and 1 o when two letters picked without replacement from oobqxvo. 1/7 Four letters picked without replacement from nnnnnnn. What is prob of picking 4 n? 1 Two letters picked without replacement from ctttctttcttttt. Give prob of picking 1 c and 1 t. 33/91 Two letters picked without replacement from {m: 3, o: 1, p: 4, i: 2}. Give prob of picking 2 p. 2/15 Three letters picked without replacement from {w: 1, q: 1, b: 2, t: 1, e: 2}. What is prob of picking 1 t and 2 e? 1/35 Calculate prob of picking 2 m when two letters picked without replacement from aaiaamaaimaaa. 1/78 Calculate prob of picking 2 k when two letters picked without replacement from {o: 1, j: 1, k: 3, y: 2}. 1/7 Two letters picked without replacement from mvqnaqp. What is prob of picking 1 p and 1 v? 1/21 Two letters picked without replacement from oolloololoolooolooo. Give prob of picking 2 o. 26/57 Four letters picked without replacement from hegkzqqg. Give prob of picking 2 q, 1 g, and 1 z. 1/35 What is prob of picking 1 f, 1 o, and 2 i when four letters picked without replacement from irrrgagrrifiiagaog? 1/510 Three letters picked without replacement from {p: 1, d: 7}. Give prob of picking 1 p and 2 d. 3/8 What is prob of picking 1 j, 1 x, and 1 a when three letters picked without replacement from ajjqjjajaaxjx? 24/143 Four letters picked without replacement from {k: 6, e: 7, u: 3, o: 1}. What is prob of picking 2 k, 1 e, and 1 o? 3/68 Two letters picked without replacement from mzkkz. What is prob of picking 1 m and 1 k? 1/5 What is prob of picking 2 v when two letters picked without replacement from {a: 9, v: 2}? 1/55 Three letters picked without replacement from qhgqqqzqzhqqgqz. What is prob of picking 2 g and 1 h? 2/455 Calculate prob of picking 3 w when three letters picked without replacement from wbwbbbbbbwwwwwbbwwb. 28/323 Calculate prob of picking 2 j and 1 g when three letters picked without replacement from jjjjgqqqqq. 1/20 Two letters picked without replacement from {l: 3, y: 5, e: 4, o: 1, x: 6, s: 1}. Give prob of picking 2 e. 3/95 Three letters picked without replacement from {g: 5, j: 8}. What is prob of picking 2 j and 1 g? 70/143 Two letters picked without replacement from {x: 1, r: 1, s: 2, i: 1, j: 1, o: 1}. Give prob of picking 1 o and 1 i. 1/21 Four letters picked without replacement from {d: 5, i: 9}. What is prob of picking 3 d and 1 i? 90/1001 Calculate prob of picking 2 b when two letters picked without replacement from {b: 5, i: 8}. 5/39 What is prob of picking 1 j and 2 b when three letters picked without replacement from bjbjbbbbbbjb? 27/55 Four letters picked without replacement from whnhwnhnnwnnhnhn. What is prob of picking 3 h and 1 w? 3/182 Calculate prob of picking 2 y when two letters picked without replacement from {a: 3, y: 8}. 28/55 Four letters picked without replacement from {g: 1, s: 7, h: 6, i: 5}. Give prob of picking 2 h and 2 i. 25/646 Calculate prob of picking 2 j when two letters picked without replacement from jnjnjjjnnjnjjjjnjj. 22/51 Four letters picked without replacement from ooddd. What is prob of picking 2 d and 2 o? 3/5 Four letters picked without replacement from {l: 4, j: 1, s: 6, o: 3, w: 4, v: 1}. Give prob of picking 1 o, 1 l, 1 s, and 1 v. 6/323 Three letters picked without replacement from pppqqqq. What is prob of picking 1 q and 2 p? 12/35 Two letters picked without replacement from {c: 12, t: 7}. What is prob of picking 2 t? 7/57 What is prob of picking 1 k and 1 g when two letters picked without replacement from {c: 8, k: 3, g: 6}? 9/68 Calculate prob of picking 3 y and 1 t when four letters picked without replacement from {y: 9, u: 3, t: 2, z: 3}. 6/85 What is prob of picking 3 s when three letters picked without replacement from {s: 9}? 1 Two letters picked without replacement from gigigggi. What is prob of picking 2 i? 3/28 Two letters picked without replacement from eeeehheehhehhh. What is prob of picking 2 h? 3/13 Four letters picked without replacement from {m: 6, e: 7}. What is prob of picking 4 m? 3/143 Two letters picked without replacement from mmmmmmmammmmm. What is prob of picking 2 m? 11/13 Four letters picked without replacement from {x: 5, z: 5, o: 1, q: 8, v: 1}. What is prob of picking 1 o, 1 x, and 2 z? 10/969 Two letters picked without replacement from {y: 5, n: 1, j: 3, q: 1}. Give prob of picking 1 q and 1 n. 1/45 Three letters picked without replacement from {c: 6, w: 1, s: 3, l: 4}. Give prob of picking 1 c, 1 l, and 1 s. 18/91 Calculate prob of picking 1 f, 2 r, and 1 n when four letters picked without replacement from {f: 4, n: 5, r: 3}. 4/33 What is prob of picking 1 m and 1 b when two letters picked without replacement from avgbm? 1/10 What is prob of picking 2 u and 2 c when four letters picked without replacement from ttttccubocdbcuuood? 1/170 Four letters picked without replacement from {a: 3, p: 1, s: 6, y: 5}. What is prob of picking 4 y? 1/273 What is prob of picking 1 c and 2 k when three letters picked without replacement from vkvrrrckrvrvcckckkk? 20/323 Two letters picked without replacement from {y: 7}. What is prob of picking 2 y? 1 Four letters picked without replacement from {s: 2, h: 5}. What is prob of picking 1 s and 3 h? 4/7 What is prob of picking 1 j and 1 c when two letters picked without replacement from {b: 2, c: 9, j: 8}? 8/19 Four letters picked without replacement from bzzbzb. What is prob of picking 3 b and 1 z? 1/5 What is prob of picking 1 t and 1 c when two letters picked without replacement from tyttztuctntttttynz? 10/153 What is prob of picking 2 b and 1 u when three letters picked without replacement from uyybybybybyyu? 6/143 Two letters picked without replacement from llok. What is prob of picking 1 k and 1 o? 1/6 Three letters picked without replacement from gvvvjvggvgvj. What is prob of picking 2 j and 1 v? 3/110 Four letters picked without replacement from iiiieeiieeei. Give prob of picking 1 e and 3 i. 35/99 Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {p: 1, b: 1, x: 1, z: 1, h: 1}. 1/10 What is prob of picking 1 g and 1 n when two letters picked without replacement from glllxglgglgnlglggl? 8/153 Three letters picked without replacement from {e: 1, h: 11, o: 1, y: 2}. What is prob of picking 2 y and 1 e? 1/455 Calculate prob of picking 3 p and 1 q when four letters picked without replacement from pp
{ "pile_set_name": "DM Mathematics" }
51*b**2 + 14566*b - 2658 wrt b? 653526*b - 1102 Find the third derivative of 180034*w**3*z**4 - 2*w**3*z**2 + 384*w**2*z**2 - 462*w*z**2 - 40*z**4 wrt z. 4320816*w**3*z - 960*z What is the third derivative of 8424889*z**3 - 8384513*z**2 wrt z? 50549334 Differentiate -k**4*q - 1540062*k*q**2 + 19831023*q**2 wrt k. -4*k**3*q - 1540062*q**2 Differentiate 831179*a**3*m - a**3 - 36*a*m + 216106*a + 12 with respect to m. 831179*a**3 - 36*a Find the third derivative of 16463*f**4 + 457*f**3 + 18*f**2 - 12*f - 418 wrt f. 395112*f + 2742 What is the third derivative of -7127871*r**4 - 15*r**3 - 63769*r**2 + 809? -171068904*r - 90 What is the third derivative of -9754*a**3*s**2 - 6719*a**3 + 2*a**2 + 5*a*s**2 + 2296*a*s - 6*a wrt a? -58524*s**2 - 40314 Differentiate -27404687*n**4 - 24336199 wrt n. -109618748*n**3 Find the third derivative of 17851*h**4*m - 10*h**4 + 2*h**3 + 345*h**2*m + 9634*m wrt h. 428424*h*m - 240*h + 12 Find the first derivative of 147786*h**3*k - h**3 - 94*h*k + 32586918*k - 2 wrt h. 443358*h**2*k - 3*h**2 - 94*k Find the third derivative of 16*c**3*u - 278002*c**3 + 51*c**2*u - 2*c*u + 9609*c wrt c. 96*u - 1668012 What is the derivative of -3*b**3*d**2 - 3486493*b**3 - 36*d**2 + 86058*d wrt b? -9*b**2*d**2 - 10459479*b**2 Differentiate -105752*d**2*v + 159*d**2 + 33637383*v with respect to d. -211504*d*v + 318*d Differentiate -63*j**2*m - 1595*j**2 + 2*j*m**3 + 5*j + m**3 + 139*m**2 - m + 7178 with respect to j. -126*j*m - 3190*j + 2*m**3 + 5 What is the third derivative of -3*d**3*v**3 - 6*d**3*v**2 + 1227154*d**3 - d**2*v - 42*d*v**3 + 7057*d*v wrt d? -18*v**3 - 36*v**2 + 7362924 What is the second derivative of 5845460*f**5 - 26*f**2*q**2 + 2489206*f*q**2 + 16*q**2 wrt f? 116909200*f**3 - 52*q**2 What is the first derivative of 29778*v**3 - 39*v + 18264512 wrt v? 89334*v**2 - 39 Differentiate -219679*w**2 - 5*w + 4615945 with respect to w. -439358*w - 5 What is the second derivative of -569176040*s**2*t**2*v + 64*s**2*t - 1977*s*v + 5*s + 2*v wrt t? -1138352080*s**2*v What is the second derivative of -11062740*m**2 - 7814525*m wrt m? -22125480 What is the third derivative of -9588745*m**3 + 222*m**2 - 23906*m? -57532470 What is the third derivative of 99400926*o**3*y**2 + o**2*y - 10*o**2 + 1638*o*y**2 + 19*y**2 wrt o? 596405556*y**2 What is the second derivative of 828726920*t**2 + 151594529*t? 1657453840 What is the second derivative of 446329204*j**2 - 503984627*j wrt j? 892658408 Find the second derivative of 961718*j**3*s**3 + j**3*s - 50*j**3 - 148*j**2*s**3 - 6100*j*s - 2*j + 2*s wrt s. 5770308*j**3*s - 888*j**2*s What is the derivative of -81943411*l - 261904432 wrt l? -81943411 Find the first derivative of 538*m**2 - 3162*m + 44598594 wrt m. 1076*m - 3162 Differentiate 247*k*p + 51860232*k - 37056*p + 2 wrt p. 247*k - 37056 Find the third derivative of -13245193*d*m**4 - 17*d*m**2 - 18*d*m + 8*m**5 - 13641*m**2 - 1 wrt m. -317884632*d*m + 480*m**2 What is the second derivative of -960*g**3*h**2*t - 13744*g**3*h*t - 2801*g*h**2*t - 123*g*h**2 - g*h*t + 2*g*t + 2*g wrt g? -5760*g*h**2*t - 82464*g*h*t Find the second derivative of 234811741*y**2 - 154*y + 261566. 469623482 Differentiate -207369718*i + 177935058. -207369718 What is the third derivative of 29710984*o**4 - 48137*o**2 + 29*o? 713063616*o Find the third derivative of j**2*o**4 - j**2*o**2 - 71*j**2 + 171662670*j*o**6 + 5*j*o**2 + 50*j*o + 10*j wrt o. 24*j**2*o + 20599520400*j*o**3 Find the second derivative of 381972012*f**2 + 406490958*f wrt f. 763944024 Differentiate -b**3*m**3 + 1133076*b**3*m**2 - 31*b**3 - 1523*b**2 - 21*b wrt m. -3*b**3*m**2 + 2266152*b**3*m Differentiate -31368*c**3 + 3*c**2 + 3*c - 17913934 with respect to c. -94104*c**2 + 6*c + 3 Find the third derivative of -103829*p**3*y + 2*p**3 + 3*p**2*y - 259423*p**2 wrt p. -622974*y + 12 What is the second derivative of 1407*p**5 - 2263*p**4 - p**2 - 4735092*p wrt p? 28140*p**3 - 27156*p**2 - 2 Find the third derivative of -9902*a*q**3 - 247*a*q**2 + 2*a*q + 152*q**3 + 653*q**2 wrt q. -59412*a + 912 Differentiate -1623197*k**2*t**2 - 24214352*k**2 wrt t. -3246394*k**2*t What is the first derivative of -v**3 + 2*v**2 - 22646365*v - 44996063? -3*v**2 + 4*v - 22646365 What is the first derivative of 394*j**4 + 437*j**2 + 2*j - 9765563? 1576*j**3 + 874*j + 2 Find the second derivative of 805101444*k**3*q**2 + 2*k**3 + 2*k**2 + 58*k*q + 170*q + 2699 wrt q. 1610202888*k**3 Differentiate 1440321310*n - 946086583 wrt n. 1440321310 What is the third derivative of -7*b*g + 2*b*i**3 - 2*b*i**2 - 218*b + 241624525*g*i**3 - 82*g*i**2 - 3*g + 1 wrt i? 12*b + 1449747150*g What is the second derivative of 66*o**3*x**3 + 10*o**3 - 57455*o**2*x**3 + 2*o**2 + 41048*o*x wrt x? 396*o**3*x - 344730*o**2*x What is the derivative of 1354*m**4 - 3*m**3 - 548*m**2 - 23959091? 5416*m**3 - 9*m**2 - 1096*m What is the third derivative of -30*b**3*k*m + 37769*b**3*m**2*x**2 - b**2*k*m*x + 1801*b*k*m**2*x**2 - 5*k*m**2*x**2 + 2*m**2*x - 84*x**2 wrt b? -180*k*m + 226614*m**2*x**2 What is the second derivative of -2*p*u**2 + 252*p*u - 37920270*u**3 + 26364*u + 10 wrt u? -4*p - 227521620*u What is the third derivative of -n**2*u**4 - 3*n**2*u**2 - 2*n**2 + 509633*n*u**4 - 5*n*u**2 + 5*u**3 + 191396*u**2 + 2 wrt u? -24*n**2*u + 12231192*n*u + 30 What is the derivative of -548385707*m - 435615376 wrt m? -548385707 Differentiate 1350*k*v**3 - 65091816*k + 3*v**4 - 470*v - 1 with respect to v. 4050*k*v**2 + 12*v**3 - 470 What is the first derivative of 26*c**3*g - 27*c**3 - 13*c**2 + 1018*c - 4594395*g**2 - 79 wrt g? 26*c**3 - 9188790*g Find the second derivative of 51402*k*w**2 + 2*k*w + 3920696*k + 48*w**3 wrt w. 102804*k + 288*w What is the derivative of -59813356*g*t**3 - 32*t**3 + 27*t**2 + 14027 wrt g? -59813356*t**3 What is the derivative of 5*g**2 - 27085*g + 10440823? 10*g - 27085 Find the second derivative of -169613067*l**2 - 3*l + 29560247. -339226134 What is the first derivative of -3116383*y + 15176399? -3116383 Find the third derivative of 5526*b**5 + 2*b**4 + 695*b**3 + 23*b**2 - 8458*b - 16. 331560*b**2 + 48*b + 4170 Find the third derivative of -2*v**6 + 3*v**4 - 31392418*v**3 + 12*v**2 - 25*v + 83583 wrt v. -240*v**3 + 72*v - 188354508 What is the derivative of -137679448*a - 114017305? -137679448 What is the first derivative of 1452540*b*h - b - 6*h + 18066891 wrt h? 1452540*b - 6 What is the second derivative of -18447*d**2*w**3 - 4*d**2*w + 930*d**2 - 5*d*w**2 + 2*d*w - 115*w**3 + 7*w + 9 wrt w? -110682*d**2*w - 10*d - 690*w What is the second derivative of -21329473*u**2 - 337781917*u? -42658946 Find the third derivative of -1646*d**2*p**3 - d**2*p**2 + 30285*d**2*p - 26894*d*p**4 - 2*d*p**2 - 63*p**2 wrt p. -9876*d**2 - 645456*d*p Find the third derivative of -43*b**5 + 313372*b**4 - 2*b**2 + 16558096 wrt b. -2580*b**2 + 7520928*b Find the third derivative of c**5 + 2595*c**4 - 7478*c**3 + 305*c**2 - 196204. 60*c**2 + 62280*c - 44868 What is the third derivative of 1318443*s**5 + 47*s**3 - 435459*s**2 - 677? 79106580*s**2 + 282 What is the second derivative of 652721426*o**4 - 299834*o - 1056? 7832657112*o**2 Find the second derivative of 282520346*z**2 - 16073015*z + 1. 565040692 Find the third derivative of -91820704*f**5 + 75537351*f**2. -5509242240*f**2 What is the second derivative of -67202247*i**4 - 17615217*i - 2 wrt i? -806426964*i**2 Find the second derivative of -47138905*v**4 + 1677343*v - 23. -565666860*v**2 Find the third derivative of -241650790*j**4 - 2*j**2 - 28513866*j wrt j. -5799618960*j Find the second derivative of 478*a**3*s**3 - 58*a**3*s + 9*a**2*s + 134*a**2 - 1365*s**3 - 4 wrt s. 2868*a**3*s - 8190*s Differentiate -974*k**2*u + 2*k**2 - 3046*k*u - 5*u + 2897901 with respect to k. -1948*k*u + 4*k - 3046*u Find the third derivative of -78976633*x**4 - 105719039*x**2 wrt x. -1895439192*x Find the second derivative of y**5 + 536540796*y**2 - 550943562*y wrt y. 20*y**3 + 1073081592 What is the third derivative of 12300131*s**4 + 7*s**3 + 650990513*s**2? 295203144*s + 42 Find the first derivative of -q**3*v + 2*q**3 - 3*q*v - 4428474*q - 39575*v wrt v. -q**3 - 3*q - 39575 What is the third derivative of 135984*o**6*u - 23*o**3*u - 21*o**2*u + 113*o*u + 3*u wrt o? 16318080*o**3*u -
{ "pile_set_name": "DM Mathematics" }
) to the form h*p**2 + c + a*p**3 + g*p and give a. -5 Express (2*d + 7 - 14 + 2*d)*(-8*d - 12*d + 5*d) as g*d**2 + z + r*d and give g. -60 Express 7*m**2 + 13*m**2 + 39*m**2 + 103*m**2 + 82*m**2 as q*m**2 + g*m + y and give q. 244 Rearrange (-31 - 14 - 20)*((4*a + 3*a - 6*a)*(76*a - 12*a - 37*a) - 3*a + 2*a**2 + 3*a + (-5*a - a + 4*a)*(-a + 3*a + 0*a)) to j*a + w + p*a**2 and give w. 0 Rearrange f**2 - f**4 - f**4 + 248 + f - 219 to the form q*f**3 + c*f + n*f**2 + z*f**4 + h and give c. 1 Express 9*l - 5*l**2 - 10 + 21 + 3*l**2 - 8 - 5*l**3 - 4 in the form h*l**3 + a*l + w + k*l**2 and give k. -2 Rearrange (b + 3*b - b + (-2*b + 5*b - 4*b)*(3 + 2 - 3) - 5 + 5 - 9*b)*(-4*b + 21 - 21) to x*b + m*b**2 + z and give m. 32 Rearrange -12 + 42*r**4 + 35*r**3 - r - 30*r**3 + 13 to the form i*r**3 + k*r**4 + s*r**2 + a + n*r and give a. 1 Express ((1 - 4 + 5)*(2*d + 4 - 4) + 15 - 15 - d)*(2*d + 0*d + d)*(2 + 2 + 10)*(4 - 4 - 1) in the form a*d**2 + x*d + r and give a. -126 Rearrange 4 - 6 + 7 - 21*p - 20*p to the form k*p + x and give x. 5 Rearrange -2*l - 4*l**4 + l**4 + 14*l**3 - l**3 - 5*l**3 to n + h*l**3 + k*l**2 + p*l + w*l**4 and give p. -2 Rearrange (1 - 1 - 2*b)*((-2 + 1 + 3)*(-11*b - 4*b + 3*b) + 9*b + 7 - 7) to x*b**2 + j + r*b and give x. 30 Rearrange -689*d + 5 - 3 + 2335*d + 3 + 2*d - 3 + (5*d - d - 2*d)*(-1 + 0 - 1) to v*d + h and give h. 2 Rearrange (-4 - 1 + 4)*(4 - 3 + 2)*(-6*s - 3*s - 2*s) to the form v + h*s and give h. 33 Rearrange (-f**4 + 2*f**4 + 4*f**4 + (4*f**3 - 2*f**3 - 3*f**3)*(0 + f + 0) + 4*f - 4*f - 8*f**4)*(-3 - 6 + 0) to r*f**4 + q*f**2 + g*f**3 + h*f + t and give r. 36 Rearrange (17 - 14 + 12)*(2*n + 0*n + 0*n)*(-n**3 - 16*n**3 + 8*n**3) to r*n**4 + j*n + k*n**3 + w + s*n**2 and give r. -270 Express (-2*d + 0*d + d)*(0 - 1 + 2) - 41423 - 1385*d + 41423 + (-3*d + 3*d - d)*(-1 - 4 + 4) + d + 0*d - 3*d in the form v + u*d and give u. -1387 Express -143*j + 10 + 157*j + 5 + 6 in the form i*j + c and give i. 14 Rearrange -3*r**2 + 0*r**2 - 794*r**4 + 796*r**4 + r to k*r + m*r**2 + y*r**3 + a*r**4 + w and give k. 1 Rearrange t**3 - 16*t**4 - t**3 - 35*t - 4*t**3 + 42*t**4 + 3*t**3 + t**2 to u*t + q*t**4 + z*t**2 + y*t**3 + o and give u. -35 Rearrange 2*z**3 - 37*z**2 + 2*z**3 + 29*z**2 + 61*z**2 to m*z + a*z**2 + r + n*z**3 and give a. 53 Express 4 + 31*r**2 - 96*r**2 - 70*r**2 in the form h*r + i + u*r**2 and give i. 4 Rearrange 199*f + 113*f + 29*f - 43*f to g*f + n and give g. 298 Rearrange 14*m - 34*m + 636*m**2 + 20*m to q*m**2 + z + f*m and give q. 636 Express -10 + 177*b - 61*b + 18 - 10 in the form u + f*b and give u. -2 Rearrange -2*j**4 - 3*j**2 - 4*j**3 - 7*j - 2*j - 7*j + 204 + 15*j + 5*j**3 to r + p*j**4 + a*j**3 + f*j**2 + z*j and give f. -3 Express 224*p + 634*p + 899*p as i*p + k and give i. 1757 Rearrange 61 - 138 - 2*r - 103 to the form c + g*r and give g. -2 Express 21*h - 5*h**3 - 16*h + 4 - 2 as t*h**2 + d + c*h + f*h**3 and give c. 5 Rearrange (5*v + 0*v - 3*v)*(-11*v**2 + 3 + 360*v - 725*v + 350*v - v**3) to the form s + n*v + c*v**2 + j*v**3 + u*v**4 and give u. -2 Rearrange -5*l - 57*l - 8*l - 47*l - 42*l to h + b*l and give b. -159 Express ((0*k - 2*k + 3*k)*(2 - 2 - k) - 120*k**2 - 138*k**2 - 4*k**2)*(-3*k - k + 2*k) in the form j*k**3 + v + q*k + m*k**2 and give j. 526 Express -7 + 26 - 12 - 1753*z - 7 in the form k + u*z and give k. 0 Express 2*g - 12 + 0*g - g - 6*g in the form f*g + k and give f. -5 Rearrange m - 8*m + 13*m + 52*m - 7*m to the form w + c*m and give c. 51 Rearrange -4*x + 56*x + 60*x + 181*x to v + p*x and give p. 293 Express (5 - 5 + 10*s)*(1 + 2 - 4)*(34 - 1 + 16) in the form c*s + h and give c. -490 Express 15 + 0*u - 10 + 14*u in the form h + a*u and give h. 5 Express -15*n**2 + 4*n**2 - 3*n + 0*n + 12*n**2 + 12*n**3 as y*n**3 + r*n + l*n**2 + q and give l. 1 Express 59 + 45 + 57 - 46 + 61 - u in the form w + v*u and give v. -1 Rearrange 142*m - 21*m + 5*m to the form g*m + k and give g. 126 Rearrange ((-2*u - 2*u + 3*u)*(-4 - 2 + 3) + 4*u - 3*u + 0*u)*(8*u + 5*u + 4*u) to the form m*u + z*u**2 + y and give z. 68 Express g**4 - 71*g**3 - 28*g + 145*g**3 + 4*g**4 - 75*g**3 as r + n*g**2 + p*g**3 + s*g**4 + f*g and give f. -28 Express (0 + 4 + 0)*(-636*p - 370*p + 63*p + 220*p + 1) in the form q + g*p and give g. -2892 Rearrange 13*u + u + 13 - 13*u + 17 to the form x + t*u and give x. 30 Express 873*k**2 + 155864 - 155864 - 3047*k**2 in the form a*k + l + o*k**2 and give o. -2174 Express -4*c**2 + 3 - 17*c**2 + 45*c**2 - 44*c - 21*c**2 in the form m*c + g*c**2 + t and give g. 3 Rearrange -94*d**3 - 2*d - 4*d**2 - 2*d**2 + 7*d**2 - 2 + 5*d**4 + 112*d**3 to the form l*d**4 + x*d**2 + w + z*d + m*d**3 and give w. -2 Rearrange (-5*u - 3 + 3)*(-1 - 1 + 0)*(0 + 2*u**2 + 0) - 267*u + 267*u + 50*u**3 - 1 to the form p*u**3 + i*u + y*u**2 + j and give p. 70 Rearrange 16391*t**2 - 16392*t**2 + 20 - 89 to a*t**2 + y + b*t and give a. -1 Express 7*i**2 + 1354*i - 662*i - 665*i as k + v*i + b*i**2 and give b. 7 Express (2 - 2 - 2 + (1 - 3 + 4)*(5 - 4 + 1))*((-10 - 1 + 1)*(-15 + 15 + 12*c) + c + 0*c - 2*c) in the form v*c + z and give v. -242 Rearrange 144*z - 146*z - 18 - 30 + 6 to the form w*z + q and give w. -2 Rearrange -8079*i**2 - 8053*i**2 + 16172*i**2 + 7 to j*i**2 + f + r*i and give j. 40 Rearrange -2 + 11616*a + 0 - 11771*a to j*a + k and give j. -155 Rearrange -3*n - 3*n + n + (3 - 2 + 1)*(-2*n - 3 + 3) - 10 + 6390*n + 3 - 6413*n to the form w*n + a and give a. -7 Express -254*b - 11*b**2 + 4*b**2 + 8*b**2 - 2*b**2 as t*b + j + c*b**2 and give t. -254 Rearrange -22*q**3 + 9*q + 9*q**2 - 10*q**2 - 33*q**3 - 8*q to l*q**3 + o*q + j + n*q**2 and give j. 0 Express u**3 + 0*u**2 + u + u**2 + 28*u**4 - 79*u**4 in the form v*u**4 + d*u**2 + j + g*u**3 + i*u and give d. 1 Rearrange -4 + r + 27*r**3 - 8*r**3 - 20*r**3 + r**2 - 5*r**4 to the form s*r**2 + i*r + u*r**3 + d*r**4 + x and give x. -4 Rearrange (-1377*o**2 + 3340*o + 2751*o**2 - 1372*o**2)*((-2*o + 3*o + o)*(4 - 3 + 0) - 2*o + 3*o + o) to b*o**2 + z*o + v*o**3 + u and give v. 8 Rearrange (445 + 120 + 946 - 139)*(0*q + 0*q - q) to l*q + m and give m. 0 Express (5*w**2 + 7*w**2 - 34*w**3 + 32*w**3 - 2)*(-18*w + 24*w + 38*w) in the form i*w**3 + y*w + m*w**4 + j + p*w**2 and give m. -88 Rearrange 639 - 639 + 469*h**2 to j*h**2 + i*h + k and give j. 469 Express -2*s + 0 + 0 + (1 + 2 - 4)*(3*s - 5*s + 0*s) + 1 - s - 1 + 0 + 0 + 2*s - 558 + 558 + 38*s as w + q*s and give q. 39 Rearrange -280*d + 140*d - 4*d**2 + 126*d - d**2 to z*d + t + v*d**2 and give v. -5 Rearrange 2113 + 57*m**2 - 2112 + 21*m**2 to a*m**2 + p*m + n and give n. 1 Rearrange (-6*z**2 + z**2 - 2*z**2)*(0*z + 3*z**2 + 0*z) - 5*z**4 - 2*z**4 + z**4 to the form x*z**2 + w*z**3 + a*z + j + n*z**4 and give a. 0 Rearrange (0*z - 5*z + 4*z)*(3*z + 0*z - z) + (6*z + 6*z + 3*z)*(2*z + 17*z + 2*z) to the form r + l*z**2 + h*z and give l. 313 Rearrange 8*q + 0*q**2 + 2*q**2 - 11*q + 3*q**3 + q**2 - q**2 + 3*q**4 to the form t*q**4 + l*q**2 + v*q**3 + d + c*q and give l. 2 Rearrange 136 - 12 + 934*y - 933*y to l*y + z and give z. 124 Rearrange -88*z - 104*z - 37*z to the form p*z + v and give p. -229 Rearrange -7*x**4 + 2*x - 20*x**4 + 94*x**4 - 14*x**4 + x**3 to q*x + o*x**4 + n + c*x**2 + z*x**3 and give o. 53 Rearrange -7*o**3 + 2*o - 5731*o**2 - 2*o**3 + 2 + 5720*o**2 to the form n*o + q*o**3 + k*o**2 + s and give k. -11 Rearrange -164*t**3 + 2*t + 19 + 303*t**3 - 147*t**3 to o*t + u*t**3 + v*t**2 + c and give c. 19 Rearrange (6 + 46 + 54*f - 48*f)*(-6*f**2 - 2*f**2 + 0*f**2) to h*f**3 + m + g*f**2 + r*f and give h. -48 Rearrange -6*q**2 - 4*q**2 - 6 + 18*q**2 to the form d*q**2 + l*q + b and give b. -6 Rearrange (i - 2 + 0*i + 0*i)*(-5*i + 5*i + 6*i**2) to the form x*i + j + o*i**3 + v*i**2 and give v. -12 Rearrange -3*k**2 + 34 + k**4 + 39 - 131 + 43 to h*k**3 + y*k**2 + b*k + s + n*k**4 and give y. -3 Rearrange (2 - 3 + 5)*(c - 2*c**2 - c) + (-c - 4*c - 13*c)*(-c + 0*c + 3*c) to the form q + v*c**2 + h*c and give v. -44 Rearrange (-368*h - 63*h - 500*h)*(3 - 2 + 2) to the form m*h + a and give m. -2793 Express (-38 - 10 - 24)*(2*t**4 - 2*t**4 - 5*t**4) in the form d*t**4 + f*t**2 + n + y*t**3 + w*t and give d. 360 Rearrange -10*y + 8*y - 7*y**2 + 39*y**2 + 5*y**2
{ "pile_set_name": "DM Mathematics" }
ppose 1 = b - 1. Let i(h) = 2 - 4 + 3957*h - 3953*h. What is i(b)? 6 Let u be 4/6 + (-1)/(-3). Let l(n) = 6*n**3 - n**2 + n. Determine l(u). 6 Suppose -6 = j + 5. Let p = j + 10. Let g(d) = -6*d - 1. Determine g(p). 5 Let b(p) = -7*p - 1. Let v = 4 - 1. Suppose -v*w + 6*w = -84. Let o be (-5)/(-4) - (-7)/w. What is b(o)? -8 Let i(y) = -y**3 + 5*y**2 + 3*y - 1. Suppose 0 = 2*d + 7 - 19. What is i(d)? -19 Let y(j) be the second derivative of -j**3/2 + j**2/2 - j. Let l(v) = -2*v - 8. Let d be l(-5). What is y(d)? -5 Let n(x) = 6*x**2 - 4*x**3 - x**2 - 2 - 2*x**3 - 2*x. Let c(i) = 0 - 9*i + 8*i**2 - 7*i**2 - 1 - i**3 + 8*i. Let p(w) = 5*c(w) - n(w). Calculate p(-2). -5 Let p = 21 + -22. Let o be (-28)/7 - (p - -3). Let t(i) = 3 + i**2 + 8*i + i - 4*i. What is t(o)? 9 Let o(p) = 5 + 2*p - 4*p - 2*p + 3*p. What is o(-4)? 9 Let g(p) = p**2 + 1. Let r(j) = j - 3*j**2 - 5 - 7*j - 2. Let o(k) = -4*g(k) - r(k). Determine o(5). 8 Let h(f) = f**2 - 6*f + 3. Let b(y) = -5*y + 5*y + 6*y**2 + y**2 - y. Let d be b(1). What is h(d)? 3 Let p(n) = 3*n - 9. Let w(d) = 4*d - 10. Let g(c) = 3*p(c) - 2*w(c). Determine g(8). 1 Suppose -6*y = -10*y - 28. Let u(b) = -b**3 - 8*b**2 - 10*b - 8. Give u(y). 13 Let j be ((-27)/(-6))/3*-2. Let s(o) be the first derivative of o**4/12 + o**3/2 - o**2/2 - 1. Let a(u) be the second derivative of s(u). What is a(j)? -3 Let t(p) = p + 7. Let l(k) = 1. Let n(j) = j + 2. Let m(u) = 4*l(u) + n(u). Let v(f) = 4*m(f) - 3*t(f). Give v(0). 3 Let p be (-4)/10 - ((-22)/5)/1. Let t(z) = z**3 - 2*z**2 - 5*z - 3. What is t(p)? 9 Let w = -11 + 11. Let g(v) = v**2 + w*v + 2 + 5 - 5 + 2*v. Let x be (2 + 1)/(-1 + 0). Give g(x). 5 Let f(n) = -5*n**3 - 2*n**2 - n. Let b(h) = 2*h**3 + 16*h**2 - h - 9. Let i be b(-8). Calculate f(i). 4 Let x(s) = -31 - s**3 - 5*s**2 + 31 - 5*s. Determine x(-4). 4 Let k(u) = u**3 - 4*u**2 - 7. Suppose q + 1 = 6. Calculate k(q). 18 Let f(z) = z**3 - 4*z**2 - 4*z + 5. Let a(m) = 2*m**3 - 9*m**2 - 9*m + 11. Let h(x) = -4*a(x) + 9*f(x). Let p be h(-1). Let j(k) = k**3 - k + 6. Calculate j(p). 6 Let p(x) = x**3 + 4*x**2 - 8*x - 4. Suppose -b + 2*g + 32 = 3*b, -38 = -5*b + 2*g. Let l(j) = -2*j + 7. Let s be l(b). Calculate p(s). 11 Let i(z) = 2*z**3 - 3*z**2 - 5*z - 5. Let g(r) = r**3 - r**2 - 2*r - 2. Let t(l) = 5*g(l) - 3*i(l). What is t(5)? 5 Suppose -2*k + n - 6 = -n, -5*n = -20. Let l = k - 2. Let q(c) be the first derivative of 2*c**4 - c**3/3 - c**2 - c - 9. What is q(l)? -8 Let n(h) = h**3 - 4*h**2 - 2*h + 4. Let z = 8 + -15. Let x be 2/z + 23/7. Calculate n(x). -11 Let t(a) = 47*a - 2 + 2 + 1 - 52*a. What is t(1)? -4 Let u(r) = -8*r**2 + r + 1. Let n(c) = 7*c**2 - 2*c - 2. Let w(x) = -7*n(x) - 6*u(x). Give w(9). -1 Let r = 3 - -7. Let k = 12 - r. Let a(y) = 3*y. Determine a(k). 6 Let h(n) = 0 - 4*n + 1 + 5 + 3*n**2 + 8*n. Let b(o) = 4*o**2 + 5*o + 7. Let z(a) = 4*b(a) - 5*h(a). Give z(3). 7 Let m(j) = -j**3 - j**2 + j + 1. Let o be m(-2). Let d(b) = 2*b + 4. Let l(u) = 3*u + 4. Let r(t) = o*l(t) - 4*d(t). What is r(-4)? -8 Let j(g) be the second derivative of g**4/12 - g**3/2 + g**2 - 9*g. Give j(3). 2 Let o(u) = u + 4. Let m(h) = h - 8. Let n be m(8). Give o(n). 4 Let a(v) be the third derivative of v**5/60 - v**4/4 + 7*v**3/6 - 7*v**2. Calculate a(5). 2 Suppose 5*f + 45 = -5*u, -6 - 27 = 2*f + 5*u. Let g(z) be the first derivative of -z**3/3 - 2*z**2 - 6*z + 13. Calculate g(f). -6 Let h(c) = 2*c**2 - 2*c - 1. Let j be 2*(3 - -1)/(-8). What is h(j)? 3 Let g(j) = 7*j**2 - 3*j + 2. Let i = 91 + -89. What is g(i)? 24 Let g(b) = -b**3 - 3*b**2 + 2*b - 2. Let c(d) = d + 1. Let w be c(-1). Suppose 246 = -3*i - x, x - 5*x - 12 = w. Let z be 306/i + (-4)/18. Calculate g(z). 6 Let r(l) = -l - 5. Let j(z) = z. Let g(k) = 2*j(k) + r(k). Give g(0). -5 Let m(k) = 8*k**2. Suppose -2 - 14 = 4*y. Let o = y + 3. Determine m(o). 8 Let c be 0*-1*(-3)/(-6). Let u(s) = -s - 4. Let r(m) = m + 4. Let g(l) = -6*r(l) - 5*u(l). Determine g(c). -4 Let d = 7 + -2. Let s be (6/(-18))/(2/(-18)). Let p(q) = -4*q**2 - d*q + q**2 + 4*q - s*q**2. Determine p(1). -7 Let j(s) = s - 3. Suppose 3*i + 2*i - 5*p + 15 = 0, -2*p + 1 = -i. Let h = 8 + i. Calculate j(h). 0 Let b(y) = 0*y - 3*y + 2 + y. Let g(l) = l**2 + 8*l + 9. Let o be g(-6). Let k = o + 5. Determine b(k). -2 Let a be 0/(2*1) - 6. Let h be 3 - (3/(-4) + (-10)/8). Let z = a + h. Let x(p) = -4*p**3 - p**2 - 2*p - 1. Calculate x(z). 4 Suppose -8*i - 8 = -12*i. Let c(k) = k + 6*k + i - k. Suppose 10 = -5*y - 0. Give c(y). -10 Let a be 3*-1*4/2. Let t be (a/(-5))/(3/(-10)). Let g(x) be the third derivative of x**5/60 + x**4/6 + 2*x**3/3 - 2*x**2. Determine g(t). 4 Let r(v) = v**2 - 9*v - 4. Let a(i) = -8*i - 31. Let o be a(-5). What is r(o)? -4 Suppose 0*y + y + 3*u = 12, 3*u - 15 = 0. Let o(g) = -2*g - 2. Determine o(y). 4 Let y(x) be the second derivative of -1/2*x**2 - 1/3*x**3 + 0 + 3*x + 1/4*x**4. Determine y(-1). 4 Let w(k) be the first derivative of 1 - 1/3*k**3 - 5*k + 3*k**2. Let d be (-56)/7*1/(-2). What is w(d)? 3 Let d be 3 + (3/(-3) - -3). Suppose -4*z = -4*m, -d*m = -m - 3*z - 5. Let a(f) = -4*f + m*f + 3*f**2 - f**2. Determine a(-2). 6 Suppose -2*t - 26 = -10. Let q be (t/6)/(2/6). Let k(o) = o**2 + o + 1. Let l(r) = 5*r + 4. Let y(p) = k(p) + l(p). Calculate y(q). -3 Let a = 8 - 5. Let k(t) = -3 - a*t - 1 + 1. Let g = -1 + -1. Calculate k(g). 3 Let f(h) = -6*h - 5*h**3 - 1 - 4*h**3 + 13*h - 5*h. What is f(1)? -8 Let q = 3 + 6. Let z be (-2)/(-5) + (-44)/10. Let g = q + z. Let m(f) = -3*f + 7. Determine m(g). -8 Let j = 58 - 63. Let o(z) = -z**2 - 6*z - 13. Let f(i) = 2*i**2 + 12*i + 25. Let t(l) = -6*f(l) - 11*o(l). Give t(j). -2 Let s(v) be the second derivative of 2*v**3 - v**2/2 + 9*v. Let y = 2 - 3. Determine s(y). -13 Let k = 48 - -75. Let i(z) = -k + z + 123. Calculate i(-1). -1 Suppose 0 = 3*s + 3, 14 = -4*u + u + 4*s. Let i(o) = o**3 + 5*o**2 - 7*o - 2. Calculate i(u). 4 Suppose -2*t + 6*t = 2*o, -2*o + 7 = 3*t. Let s = o - 0. Suppose 0*i - s*i = 2. Let c(n) = 5*n**2 - n. What is c(i)? 6 Suppose 0 = -13*h - 12 + 38. Let j(b) = -2*b + 1. Calculate j(h). -3 Let z(h) = -4*h. Let v(w) be the first derivative of w**2/2 + w - 3. Let y(m) = 2*v(m) + z(m). Determine y(-2). 6 Suppose -6*s + 100 = -2*s. Suppose 5*b - 4*g - s = 0, 4*g - 18 - 2 = -4*b. Let o(v) = -v**2 + 6*v - 3. Determine o(b). 2 Let i(r) = -r - 1. Let p(c) = 4*c + 5. Let b(h) = 2*i(h) + p(h). Calculate b(-2). -1 Let g(c) = 11*c + 1. Suppose 4 = -5*u - 2*b, 4*b = -3*u + b - 6. Suppose u = 4*r + t + 2, -3*t + 6*t - 6 = 0. Give g(r). -10 Let v(d) be the second derivative of 0 + 2*d - 1/4*d**4 + 1/6*d**3 + 0*d**2. What is v(-1)? -4 Let u(j) = -2*j**3 - 17*j**2 - 3*j - 5. Let v(i) = -i**3 - 9*i**2 - i - 3. Let t(n) = 4*u(n) - 7*v(n). Let d = -29 - -25. Calculate t(d). 5 Let p(k) = -k + 2. Suppose -5*h = 4*w - 47, -2*w + 12 = 2*w. Calculate p(h). -5 Let m = 17 + -16. Let d(p) be the second derivative of 5*p**3/6 - 2*p. Let s(u) = -30*u. Let v(w) = -35*d(w) - 6*s(w). Determine v(m). 5 Let g(m) = -3*m + 7. Let z be g(4). Let r(i) = i**2 + 7*i + 7. What is r(z)? -3 Let c be -2*3/(-8)*4. Let k(s) = 3*s - 4. Give k(c). 5 Let i(w) = -3*w**2 + 6*w + 0*w + 2*w**2 - 5*w + 4. Let v = -9 + 21. Suppose -k + 4 - v = 4*c, 5*k = -2*c - 4. Determine i(k). 4 Let u(n) be the third derivative of n**6/120 + n**5/12 - n**4/6 + n**3 + 7*n**2. What is u(-6)? -6 Let j(p) = 4*p**2 - 5*p - 3. Let k(v) = v**2 - v. Suppose -t = -m + 3*m - 5, 14 = t + 5*m. Let n(w) = t*j(w) + 3*k(w). Suppose -5*a + 9 = -2*a. Determine n(a). 0 Suppose 0 = -6*v + 2*v + 20. Let h = v - 4. Let m(r) = -r - h - 4 - 6. Determine m(-5). -6 Let w(y) = y + 2. Suppose 0 = -4*i - 0*i - 24. Let h be 1/(-2) - 21/i. Suppose -h*v - 4 = -1. What is w(v)? 1 Let i(p) = 0 - 1 + 0 + 3*p. Let t be i(2). Let m(b) be the second derivative of -b**5/20 + 5*b**4/12 + b**3/6 - 3*b**2 - 42*b. Calculate m(t). -1 Let x = -1 - 7. Let h(b) = b**2 + 8*b - 4. Calculate h(x). -4 Suppose -4*h + 2*h + 6 = 0. Let q(l) = -3*l**2 + h*l + 4*l**2 + 0*l - 3 - l. Determine q(-3). 0 Suppose -8 = -4*t - 0*t. Let r(l) = t - 2*l + 0*l - l**2 + 5*l. Let n be (4/6)/(8/60). Determine r(n). -8 Let u(h) = -3*h - 1. Let i(k) = 5*k + 1. Let o(r) = 3*i(r) + 4*u(r). Give o(-2). -7 Let f(s) = 3*s**3 - 7*s**2 + 3*s +
{ "pile_set_name": "DM Mathematics" }
, 0.1, v in ascending order. -7, 2/23, 0.1, v Let d(y) = y**2 - 9*y - 6. Let v be d(9). Let j = v - -2. Let w = -1 - -5. Sort -5, w, j in descending order. w, j, -5 Let w(j) = -j**3 - 5*j**2 - 6*j - 6. Let t be w(-4). Suppose -2 - 2 = 2*f. Let a be ((0 - 0) + 1)*f. Put a, t, -4 in ascending order. -4, a, t Suppose -3*m = m. Sort -8, -1, m in increasing order. -8, -1, m Let n be (-6)/4*2/(-1). Suppose n*i = 2*i + 2. Suppose -7 = 2*o + 1. Put i, 5, o in descending order. 5, i, o Suppose 0 = -4*d - 5*i - 17, -5*i = 2*d + 18 + 3. Suppose 2*m + 4*u = -18, m + d*m + 6 = u. Sort 6, m, -1 in decreasing order. 6, -1, m Let k = 0.7 + -0.3. Suppose 3*h + 12 = 5*s + 36, -2*s = 2*h. Let r be h + 68/(-20) + 1. Put r, -4/9, k in decreasing order. r, k, -4/9 Let c = -151.2 + 158.29. Let h = -0.09 + c. Let o = h + -12. Put 0.5, 3, o in increasing order. o, 0.5, 3 Let t = -1 + 4. Let j = t + -2. Put 2, j, 4 in decreasing order. 4, 2, j Let n = 5.8 + -9.5. Let y = n + -1.3. Put -2, 4, y in increasing order. y, -2, 4 Let f be (3 - -55)/(-1 + 2). Let j be f/18 - (-8)/(-36). Suppose j*n + h = 12, -4*n + h = -h - 16. Put -1, -4, n in increasing order. -4, -1, n Let h = -16 - 2. Let w be (-4)/h + (-48)/(-27). Suppose 5*t + 10 = -5*o, 2*o = 3*t - 0*t + 16. Sort t, 0, w. t, 0, w Let i = -4 - -1. Sort 3, i, 2 in increasing order. i, 2, 3 Let u be ((-9)/(-6) - 2)*0. Sort -7, u, -1 in ascending order. -7, -1, u Suppose 0*z = -z - 24. Let f = z + 23. Sort f, -3, 3 in decreasing order. 3, f, -3 Let z = 1/60 + 113/420. Sort 3, z, -1/3, 0.5. -1/3, z, 0.5, 3 Let f(s) = -s**2 - 6*s. Let x be f(-3). Let y be 25/x - 6/(-27). Let p(d) = -d + 2. Let v be p(y). Sort v, -5, -2/13 in decreasing order. -2/13, v, -5 Let n = 12 + -25. Let x = n + 8. Let r = x - -4. Sort 2/19, r, -4/3 in decreasing order. 2/19, r, -4/3 Let c = -13.2 - -14. Sort c, -5, 2 in descending order. 2, c, -5 Suppose -3*q + 12 = 2*l, 3*l - 5*q = -0*q - 20. Sort l, 4, 3 in descending order. 4, 3, l Let b = -74 + 77. Put -2, b, -4, -3 in decreasing order. b, -2, -3, -4 Let b(q) = q**3 - 3*q**2 - q - 2. Let l be b(3). Put l, 0, 4 in descending order. 4, 0, l Suppose 6 = 5*f + 26. Let t = f - -7. Let s(a) = a**2 + 7*a + 12. Let q be s(-5). Put -3, t, q in increasing order. -3, q, t Suppose -c = 3*s - 1 - 1, -s = -4*c - 18. Put c, -2, -0.01 in increasing order. c, -2, -0.01 Let l = 0.7 + -1.1. Let n = -2 + 5. Put l, n, -3 in descending order. n, l, -3 Suppose o - 3*y - 8 = 0, 0 = -o - 2*y - 3 + 1. Put -4, o, 1 in ascending order. -4, 1, o Suppose -10 = i - 2*g, 0 = 2*i - 0*g - g + 5. Let h = -9 - -15. Let x be 4/(-3)*(-1)/h. Sort -5, x, i. -5, i, x Let h be 1/2 - (-10)/4. Suppose 0 = 2*i + i + 5*s - 12, h*s = 0. Put -2, 2, i in increasing order. -2, 2, i Let t(c) = -3*c - 6. Let o be t(-3). Sort 1, 0, o in descending order. o, 1, 0 Suppose t - 1 = 2. Suppose -4*a - 4 = 0, -m + 3*a = -3*m + t. Let x be (-10)/8*2/(-3). Sort m, x, 2/3 in increasing order. 2/3, x, m Suppose -51*c = -55*c - 20. Let y(h) = -h**3 + 5*h**2 - 2*h + 7. Let p be y(5). Put p, c, -1 in descending order. -1, p, c Let r = 86 + -134. Let p be 10/r + 3/(-18). Put p, 5, 0.3 in decreasing order. 5, 0.3, p Suppose 0 = -s + 4*g - 6, 5*g = 4*s - 3*s + 8. Suppose -18 = -4*i - l, 5*i - i = s*l + 24. Let q = 0 + i. Sort -4, q, -5 in descending order. q, -4, -5 Suppose 0 = -5*m - 3*o + 50, 0 = 4*m + 2*o + 2*o - 48. Put m, -4, 4, 0 in descending order. m, 4, 0, -4 Suppose -2*j + 6*j = 8. Let a = 15 - 14. Put j, 1/2, a in descending order. j, a, 1/2 Suppose 0 = 4*m - 4 + 20. Sort m, -3, 2 in increasing order. m, -3, 2 Let o = -9 + 1. Let k = 16 + o. Let d = k - 7. Put d, -1/3, -0.5 in descending order. d, -1/3, -0.5 Let v = 2 - 2. Let l = v - -1. Let i = 40 + -81/2. Sort i, 1/5, l. i, 1/5, l Let j = -24/95 + 1/19. Sort -1, -0.1, 9/5, j. -1, j, -0.1, 9/5 Let u = -9 + 11. Let k be 24/5 + u/10. Sort -5, -2, k in decreasing order. k, -2, -5 Suppose -3*v + 3 = -0*v. Put v, 0.3, -2/3 in decreasing order. v, 0.3, -2/3 Let j be (-2)/4*(-9)/18. Put 2/5, j, 3 in descending order. 3, 2/5, j Let z = 3 + -4. Let v = 14 + -17. Sort z, v, 4 in descending order. 4, z, v Suppose -4*y + 2 = 6. Let c be (-1 + 4)*(-3)/27. Sort 2/7, y, c in descending order. 2/7, c, y Suppose 2*t + 2*g = 6*g + 2, 5*t + 70 = -5*g. Let z be (t + 2)/1 + 2. Suppose r + 5*r + 12 = 0. Put -1, r, z in descending order. -1, r, z Suppose -4*h - 47 = -k, -5*h - 4*k = -2*k + 62. Let g be h/(-6) - (0 - 0). Put g, 4, -1 in ascending order. -1, g, 4 Let m = 4.99 + 0.01. Suppose 9 = -5*t + 29. Let l be 1/(-2)*t/14. Sort m, l, 3 in increasing order. l, 3, m Let n = -0.44 + 0.04. Let w = 0 + n. Let z be (-2)/(-7) - 48/21. Sort z, w, 0.1. z, w, 0.1 Suppose -3*w + 0*w + 3 = 5*t, 18 = 4*w + 2*t. Sort -1, -5, w in decreasing order. w, -1, -5 Let s(w) = w - 11. Let r be s(11). Put 2/11, 2/9, r in increasing order. r, 2/11, 2/9 Let c = 0.317 - 0.017. Suppose -5*k + f - 4*f = -11, -k + 11 = 5*f. Put c, k, 4 in descending order. 4, k, c Let i = 178 + -1600/9. Suppose -3*p + 12 = p. Put p, i, -3 in descending order. p, i, -3 Let x = -54 + 56. Let i = -0.3 - -0.2. Let k = 3.7 - 4. Sort x, i, k in descending order. x, i, k Let m be (-2)/(0 - (-4)/(-6)). Sort 5, -23, m in decreasing order. 5, m, -23 Suppose 0 = w - 1, 5 + 0 = 4*u - 3*w. Let q = -1 - u. Let j be (-41)/(-13) + 10/(-65). Put q, -2, j in ascending order. q, -2, j Let v(h) = 4*h + 5. Let t be v(-2). Let a = 6 + -1. Sort a, 1, t in descending order. a, 1, t Let p = 18.1 + -16. Let u = 0.1 - p. Let a = u - -2.1. Put a, 2, -4 in descending order. 2, a, -4 Let n = -5.3 - -5. Let k = 4 + -3. Put k, n, -4 in increasing order. -4, n, k Let w = -106 + 111. Suppose q - 2*q + 1 = 5*s, 4*q + 4*s = -12. Let y = -6 - q. Sort y, 4, w. y, 4, w Let f be -1 - (4 - (-2)/(-1)). Put 0, -2, f in descending order. 0, -2, f Let o = -0.001 + -3.999. Put 0, -0.07, o in ascending order. o, -0.07, 0 Suppose 5*c - 34 = 3*j, -3*j + 11 + 5 = 5*c. Put -4, 3, 2, j in ascending order. -4, j, 2, 3 Let b = 0 + 6. Let s = 5.7 - b. Let i = 1 + 2. Put i, -1/3, s in decreasing order. i, s, -1/3 Let n = 22 - 11. Sort n, -3, -4 in descending order. n, -3, -4 Let b = -6 + 9. Let v = 7 - b. Sort v, -0.4, -2. -2, -0.4, v Let j = 52 + -53. Sort 5, -4, j, -3. -4, -3, j, 5 Let k = 348/5 - 70. Sort 0.1, 4, k in decreasing order. 4, 0.1, k Let d(c) = -3*c**3 + c - c**2 + 1 + 2*c**3 + 0*c**2. Let h be d(-1). Put -1, 1/10, h in decreasing order. 1/10, h, -1 Let h = -65 + 73. Put -5, h, 1/2, 2 in decreasing order. h, 2, 1/2, -5 Let l = 1 - -3. Let j be (-2)/l*(-40)/4. Put -3, 3, j in descending order. j, 3, -3 Let b = -10.8 - 2.2. Let x = b + 7. Let g = -8 - x. Sort g, 3, -0.5 in increasing order. g, -0.5, 3 Let v = 797.93 + -794. Let l = v - -0.07. Put l, -3/8, -5 in ascending order. -5, -3/8, l Suppose -c + y + 9 = -2*y, -4*c - 2*y = 34. Sort -5, -4, c, 5. c, -5, -4, 5 Let o(n) = -n**3 + 4*n**2 + 6*n - 7. Let c be o(5). Let k = 0.5 - -8.5. Let f = k + -8.6. Put 2/7, c, f in decreasing order. f, 2/7, c Let n = 8.3 + -8. Suppose 3*p + 12 = 7*p. Let v = -1 - p. Sort -0.5, v, n. v, -0.5, n Suppose 2*l - 2 + 6 = 4*h, -3*l + 4*h = 2. Put -4, -1, l in decreasing order. l, -1, -4 Let y be 9/3 + (-2 - (-38)/2). Put -3, 0, y in descending order. y, 0, -3 Let t = 2 - 0. Suppose -t*p = -2 + 4. Let n(r) = 2*r - 1. Let w be n(2). Sort p, -3, w in descending order. w, p, -3 Suppose -p = 2*p - 2*m - 17, -2*p - 2*m + 8 = 0. Let i be p/2*8/5. Suppose 2*h = 4*u - h - 20, -i*h = 0. Sort u, 3, -3 in ascending order. -3, 3, u Let z be 4/((-1)/(2/(-4))). Sort z, 1, -5 in decreasing order. z, 1, -5 Let k(i) = -4*i - 1. Let c be k(-1). Let h = c - 5. Let a = -8 - -5. Sort a, h, -4 in increasing order. -4, a, h Let k(d) = -d + 8. Let u be k(6). Sort u, 4, 5, -1 in increasing order. -1, u, 4, 5 Let m = -82/15 + 24/5. Let h = 0.18 - -4.82. Let j = 1 - h. Put -0.3, j, m in ascending order. j, m, -0.3 Let k(u) = u. Let b be k(-2). Let o be (0 - b - 0) + 1. Put o, 2, -2 in ascending order. -2, 2, o Let c = -105.94 + 106. Sort -2/5, c, 0.1 in descending order. 0.1, c, -2/5 Suppose 5*d + 5*v + 31 = -19, d + 30 = -5*v. Put -2/7, d, -0.2 in increasing order. d, -2/7, -0.2 Let q = -38 - -112/3. Let i be (4/(-12) - -1) + -1. Let d be (-9)/24*(-2)/3
{ "pile_set_name": "DM Mathematics" }
2 k and 2 m. 2/7 Four letters picked without replacement from {l: 5, z: 1, f: 6, w: 3}. What is prob of picking 1 z and 3 w? 1/1365 What is prob of picking 3 n when three letters picked without replacement from {n: 5, o: 2}? 2/7 Four letters picked without replacement from hhsohhhtohoh. Give prob of picking 2 o, 1 h, and 1 s. 7/165 Calculate prob of picking 2 v and 1 e when three letters picked without replacement from mvvevmvem. 1/7 Four letters picked without replacement from {f: 5, p: 11}. Give prob of picking 2 f and 2 p. 55/182 Four letters picked without replacement from {z: 2, v: 3, d: 1, k: 2, o: 4}. Give prob of picking 1 z, 1 k, and 2 v. 4/165 Two letters picked without replacement from feeefheffeeheeee. What is prob of picking 2 h? 1/120 What is prob of picking 1 p and 2 m when three letters picked without replacement from {m: 2, p: 2, l: 1}? 1/5 What is prob of picking 2 i, 1 q, and 1 e when four letters picked without replacement from {i: 8, q: 1, e: 4}? 112/715 Four letters picked without replacement from xxxjejjeewejjjejxwj. Give prob of picking 1 e, 2 x, and 1 w. 5/323 Four letters picked without replacement from llmtollttlcclm. Give prob of picking 1 o, 1 m, 1 t, and 1 c. 12/1001 Four letters picked without replacement from xxxxxwwxxwxx. What is prob of picking 1 x and 3 w? 1/55 Four letters picked without replacement from {o: 10, i: 1, l: 3, p: 3, d: 3}. Give prob of picking 1 p, 1 i, and 2 d. 3/1615 Two letters picked without replacement from {o: 1, f: 3}. What is prob of picking 2 f? 1/2 Three letters picked without replacement from drrrrrrdrqqr. What is prob of picking 1 d, 1 r, and 1 q? 8/55 Calculate prob of picking 2 c and 1 f when three letters picked without replacement from {f: 5, c: 13}. 65/136 Three letters picked without replacement from xxmvvmmxvxm. Give prob of picking 1 v and 2 x. 6/55 Three letters picked without replacement from npnprpprppppppn. What is prob of picking 2 n and 1 p? 6/91 Calculate prob of picking 2 w when two letters picked without replacement from bbbbbbbbbwbbbbbwbbb. 1/171 Calculate prob of picking 1 x, 1 r, and 1 g when three letters picked without replacement from wwnrnnwnwwxtwggn. 1/280 Four letters picked without replacement from rpyhyqqrphqrhqpqrq. Give prob of picking 1 r, 1 y, and 2 h. 2/255 Calculate prob of picking 2 g when two letters picked without replacement from {u: 1, g: 8, b: 2, y: 5, k: 1}. 7/34 What is prob of picking 2 g when two letters picked without replacement from ddddgg? 1/15 Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {h: 4, z: 1, x: 7, p: 2, l: 4}. 4/153 Four letters picked without replacement from {f: 15, r: 4}. What is prob of picking 4 r? 1/3876 Calculate prob of picking 1 o, 1 n, and 1 d when three letters picked without replacement from omonomioddnozddmn. 3/34 Three letters picked without replacement from prssssuyspsypuseuyr. What is prob of picking 1 s, 1 r, and 1 e? 14/969 Calculate prob of picking 1 m, 2 u, and 1 k when four letters picked without replacement from {k: 2, m: 5, s: 2, u: 4}. 12/143 Two letters picked without replacement from xfqqxqxqxaxxhqafq. What is prob of picking 1 q and 1 x? 9/34 Three letters picked without replacement from fgggggggggggfggffgf. What is prob of picking 2 f and 1 g? 140/969 What is prob of picking 2 j and 1 k when three letters picked without replacement from kjajtkktkkaatkkaa? 7/680 Three letters picked without replacement from {b: 4, l: 6, j: 4}. What is prob of picking 3 l? 5/91 Four letters picked without replacement from itxxtxxqxixxtxqx. Give prob of picking 3 t and 1 x. 9/1820 Three letters picked without replacement from {y: 8, x: 2}. Give prob of picking 2 y and 1 x. 7/15 What is prob of picking 2 k when two letters picked without replacement from qqqrrkqrkrn? 1/55 Two letters picked without replacement from rhu. Give prob of picking 1 r and 1 h. 1/3 What is prob of picking 1 g and 1 e when two letters picked without replacement from ggeggghnhhnhgggeggg? 22/171 What is prob of picking 2 u when two letters picked without replacement from uuuwwwww? 3/28 Calculate prob of picking 3 o when three letters picked without replacement from {p: 14, o: 1}. 0 Two letters picked without replacement from {d: 3, v: 5}. What is prob of picking 1 v and 1 d? 15/28 Three letters picked without replacement from qefffffessse. What is prob of picking 1 f, 1 s, and 1 e? 9/44 Three letters picked without replacement from {k: 3, r: 4, e: 6, m: 2, v: 1, u: 2}. Give prob of picking 2 k and 1 u. 1/136 Calculate prob of picking 2 r, 1 n, and 1 u when four letters picked without replacement from uruuunatnzar. 8/495 Four letters picked without replacement from {u: 13, p: 3}. Give prob of picking 4 u. 11/28 Two letters picked without replacement from {f: 2, v: 1, b: 2, u: 1, k: 5, r: 4}. What is prob of picking 1 b and 1 f? 4/105 Calculate prob of picking 1 d and 2 c when three letters picked without replacement from dddccd. 1/5 Calculate prob of picking 1 r and 1 v when two letters picked without replacement from lrhkmvlv. 1/14 Four letters picked without replacement from jguugjjjujjgugjj. Give prob of picking 2 u and 2 g. 9/455 What is prob of picking 1 c, 1 j, and 1 n when three letters picked without replacement from cnnbnbnnnbcqj? 6/143 Three letters picked without replacement from {y: 4}. Give prob of picking 3 y. 1 Two letters picked without replacement from {a: 1, p: 5, f: 5}. Give prob of picking 2 f. 2/11 Two letters picked without replacement from nshflol. Give prob of picking 1 o and 1 f. 1/21 Two letters picked without replacement from {s: 1, d: 2, b: 1, t: 2}. Give prob of picking 1 b and 1 t. 2/15 Calculate prob of picking 1 v and 1 o when two letters picked without replacement from dvoof. 1/5 Calculate prob of picking 1 f, 1 v, and 1 u when three letters picked without replacement from {u: 1, f: 2, o: 1, r: 1, m: 1, v: 1}. 2/35 What is prob of picking 1 o and 2 k when three letters picked without replacement from {q: 1, o: 5, k: 4}? 1/4 What is prob of picking 2 k and 2 e when four letters picked without replacement from {v: 1, e: 3, g: 1, k: 2}? 3/35 Two letters picked without replacement from {j: 2, p: 2, h: 11}. What is prob of picking 1 p and 1 h? 22/105 What is prob of picking 2 q when two letters picked without replacement from yroqqoqqqoqr? 5/22 Three letters picked without replacement from {d: 3, f: 2, q: 6, k: 3, e: 1}. What is prob of picking 1 f, 1 k, and 1 q? 36/455 Two letters picked without replacement from {i: 2, g: 2, l: 3, c: 4, e: 2, n: 2}. What is prob of picking 2 i? 1/105 Two letters picked without replacement from ogbggdddbboxbopod. What is prob of picking 1 b and 1 o? 2/17 Three letters picked without replacement from jqqjj. Give prob of picking 1 q and 2 j. 3/5 What is prob of picking 3 o when three letters picked without replacement from {c: 8, o: 3}? 1/165 Two letters picked without replacement from {a: 2, b: 17}. Give prob of picking 1 a and 1 b. 34/171 Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {c: 9, k: 11}. 99/190 What is prob of picking 1 m and 2 y when three letters picked without replacement from {m: 2, k: 3, y: 10}? 18/91 What is prob of picking 1 b, 1 v, 1 j, and 1 s when four letters picked without replacement from bbbbbbsbbbvj? 1/55 Calculate prob of picking 1 f and 3 t when four letters picked without replacement from {h: 5, t: 4, f: 1}. 2/105 What is prob of picking 1 y and 1 w when two letters picked without replacement from {w: 3, s: 6, u: 1, l: 2, y: 2}? 6/91 Calculate prob of picking 1 z and 2 t when three letters picked without replacement from ttzrccrzz. 1/28 Two letters picked without replacement from {b: 1, m: 1, o: 2, x: 1, d: 5, p: 3}. What is prob of picking 1 p and 1 b? 1/26 Four letters picked without replacement from {p: 3, b: 9, x: 4}. What is prob of picking 4 b? 9/130 Two letters picked without replacement from fjpp. What is prob of picking 1 j and 1 f? 1/6 What is prob of picking 1 f and 2 e when three letters picked without replacement from fqefezzzzefzn? 9/286 What is prob of picking 1 d and 2 j when three letters picked without replacement from jjjjjjjjdjjjdjjjjj? 5/17 What is pr
{ "pile_set_name": "DM Mathematics" }
there in 45/2 of a microgram? 22500 How many decades are there in 0.5222887 centuries? 5.222887 What is 16/7 of a week in days? 16 How many minutes are there in four thirds of a hour? 80 How many litres are there in 42.48828 millilitres? 0.04248828 What is 37/2 of a milligram in micrograms? 18500 What is 8/15 of a decade in months? 64 What is seven sixteenths of a day in minutes? 630 How many micrograms are there in one quarter of a milligram? 250 What is 614.8561 nanometers in centimeters? 0.00006148561 How many micrograms are there in 29/5 of a milligram? 5800 What is 1/5 of a decade in years? 2 What is six fifths of a litre in millilitres? 1200 How many months are there in eleven quarters of a decade? 330 What is 376.6352ng in tonnes? 0.0000000000003766352 How many minutes are there in three fifths of a hour? 36 What is 3/8 of a gram in milligrams? 375 Convert 470.4869 years to centuries. 4.704869 What is 21/8 of a litre in millilitres? 2625 What is 54627.39m in micrometers? 54627390000 How many nanoseconds are there in seventy-four fifths of a microsecond? 14800 What is 6/25 of a millimeter in micrometers? 240 Convert 278.30997 months to millennia. 0.0231924975 How many milligrams are there in 1/16 of a kilogram? 62500 How many milligrams are there in fourty-five halves of a gram? 22500 How many nanograms are there in seven quarters of a microgram? 1750 How many minutes are there in 12/7 of a week? 17280 What is 21/2 of a decade in months? 1260 Convert 8.421122 litres to millilitres. 8421.122 How many centimeters are there in eleven tenths of a meter? 110 How many micrometers are there in 15.33477cm? 153347.7 How many centimeters are there in 8343.663um? 0.8343663 What is 487.8914 minutes in seconds? 29273.484 Convert 18249.09 kilograms to grams. 18249090 How many decades are there in 1.288142 years? 0.1288142 What is 1/4 of a micrometer in nanometers? 250 How many years are there in 3/50 of a millennium? 60 How many kilograms are there in 55/4 of a tonne? 13750 How many milligrams are there in three eighths of a gram? 375 What is 48363.61 litres in millilitres? 48363610 What is 61.71465 meters in millimeters? 61714.65 How many millilitres are there in 6379.099 litres? 6379099 How many millimeters are there in 524433.5nm? 0.5244335 What is 9996.377 litres in millilitres? 9996377 How many microseconds are there in 87.4601s? 87460100 How many milliseconds are there in 3/50 of a minute? 3600 How many millilitres are there in 3/5 of a litre? 600 How many millilitres are there in 0.5671748 litres? 567.1748 What is 19982.316ms in minutes? 0.3330386 How many milliseconds are there in seventy-six fifths of a second? 15200 What is 408562.2 millilitres in litres? 408.5622 What is 2/15 of a century in months? 160 How many minutes are there in 2/9 of a day? 320 How many centuries are there in 341.5224 millennia? 3415.224 What is 800331.9 kilograms in micrograms? 800331900000000 Convert 258169.2 years to months. 3098030.4 How many meters are there in thirteen quarters of a kilometer? 3250 Convert 1825.076nm to micrometers. 1.825076 How many centuries are there in 7.304295 decades? 0.7304295 What is 4/3 of a millennium in months? 16000 What is thirty-two fifths of a microsecond in nanoseconds? 6400 How many centimeters are there in 3392.533mm? 339.2533 What is 7/2 of a decade in years? 35 Convert 3.295758mm to nanometers. 3295758 How many milliseconds are there in 3612.016us? 3.612016 What is 12/25 of a milligram in micrograms? 480 How many nanoseconds are there in five eighths of a microsecond? 625 What is 7025.742 years in centuries? 70.25742 What is fourty-three thirds of a year in months? 172 Convert 17.999 nanometers to micrometers. 0.017999 What is seventeen halves of a centimeter in micrometers? 85000 What is 935.5143 microseconds in seconds? 0.0009355143 Convert 8.549787 decades to months. 1025.97444 What is 0.9458966 millennia in decades? 94.58966 Convert 0.2702526 millilitres to litres. 0.0002702526 How many centuries are there in six fifths of a millennium? 12 What is 963.8l in millilitres? 963800 What is 0.3597001 litres in millilitres? 359.7001 What is eighteen fifths of a meter in centimeters? 360 What is 455379.2ml in litres? 455.3792 What is 159503.2 centimeters in meters? 1595.032 How many hours are there in eleven halves of a day? 132 How many millilitres are there in 6/5 of a litre? 1200 What is one quarter of a century in months? 300 How many decades are there in 305.0314 millennia? 30503.14 How many micrograms are there in 21/8 of a milligram? 2625 How many micrograms are there in nineteen quarters of a milligram? 4750 Convert 709.1395 micrometers to kilometers. 0.0000007091395 How many months are there in 7/2 of a year? 42 What is 279.0978 centimeters in millimeters? 2790.978 What is 12/25 of a hour in seconds? 1728 What is 1/10 of a kilometer in centimeters? 10000 How many milligrams are there in 31/2 of a gram? 15500 How many nanometers are there in 942.6095cm? 9426095000 What is thirteen eighths of a millennium in months? 19500 What is 792614.6 kilometers in millimeters? 792614600000 What is thirteen quarters of a decade in months? 390 What is 5.691335 weeks in hours? 956.14428 What is 1/5 of a millimeter in micrometers? 200 What is 196.9951 centimeters in micrometers? 1969951 What is thirty-three fifths of a century in decades? 66 How many years are there in 0.367577 centuries? 36.7577 What is 272289.33 months in millennia? 22.6907775 What is 435158.1l in millilitres? 435158100 How many minutes are there in 19/4 of a day? 6840 How many minutes are there in 7/3 of a week? 23520 How many nanoseconds are there in 69334.5 minutes? 4160070000000000 Convert 8.5379868ms to hours. 0.000002371663 How many kilograms are there in one quarter of a tonne? 250 How many millilitres are there in 12/25 of a litre? 480 What is 9126.366 years in months? 109516.392 How many centimeters are there in eighteen fifths of a meter? 360 What is six fifths of a microsecond in nanoseconds? 1200 How many litres are there in 9003.453ml? 9.003453 How many millilitres are there in fourty-seven quarters of a litre? 11750 How many hours are there in sixty-one quarters of a week? 2562 How many nanograms are there in 11/10 of a microgram? 1100 What is 1/10 of a century in months? 120 How many nanograms are there in three eighths of a microgram? 375 What is three eighths of a kilogram in grams? 375 Convert 474593.2kg to nanograms. 474593200000000000 What is 0.3181841 centuries in millennia? 0.03181841 What is 1/15 of a minute in milliseconds? 4000 How many meters are there in three eighths of a kilometer? 375 Convert 51267.86 years to centuries. 512.6786 How many kilograms are there in 41/2 of a tonne? 20500 What is 54.98399nm in micrometers? 0.05498399 How many millilitres are there in fourty-nine fifths of a litre? 9800 What is twenty-seven fifths of a century in months? 6480 What is 736.2991ug in tonnes? 0.0000000007362991 What is 7/2 of a century in years? 350 How many years are there in 996.979 decades? 9969.79 What is 42988.68 millilitres in litres? 42.98868 What is 9/10 of a kilogram in grams? 900 What is 3/10 of a hour in seconds? 1080 Convert 954.47 millimeters to nanometers. 954470000 How many milligrams are there in 11/2 of a gram? 5500 What is twenty-three sixths of a year in months? 46 What is 1/6 of a hour in minutes? 10 What is 56.66937 millimeters in kilometers? 0.00005666937 What is sixty-four thirds of a century in months? 25600 What is 0.2566284 litres in millilitres? 256.6284 What is 863288.4 micrograms in nanograms? 863288400 What is one fifth of a week in minutes? 2016 How many milligrams are there in 3/40 of a kilogram? 75000 How many nanometers are there in 1/20 of a millimeter? 50000 Convert 0.6020649 millennia to centuries. 6.020649 What is 22/9 of a week in minutes? 24640 What is 3/10 of a micrometer in nanometers? 300 How many centimeters are there in 8160.789 kilometers? 816078900 How many litres are there in 97770.27ml? 97.77027 How many centimeters are there in 4769.511um? 0.4769511 What is 0.8505972 months in centuries? 0.000708831 What is seven sixths of a week in minutes? 11760 Convert 7557.91 years to millennia. 7.55791 How
{ "pile_set_name": "DM Mathematics" }
1 prime? False Is 14931388247 composite? True Is 38873820343 prime? True Is 30492678262 a prime number? False Is 17563919 a composite number? False Is 4981270358 a composite number? True Is 69614240159 a prime number? True Is 228036142007 a prime number? True Is 9357615959 a prime number? True Is 20168231 a composite number? False Is 143043421387 prime? False Is 2857451539 a prime number? True Is 53228459833 prime? False Is 19000340339 composite? False Is 209694103 composite? False Is 5257365241 a composite number? False Is 240471181 a prime number? False Is 9382475113 a composite number? True Is 23359912987 a prime number? True Is 505811351 a composite number? False Is 667592657 a composite number? True Is 1118569657 composite? True Is 834411029 a prime number? True Is 22901445991 composite? True Is 6427167211 a composite number? False Is 22705681827 a composite number? True Is 696477791 a composite number? False Is 620736178 composite? True Is 274773089 composite? True Is 14922722267 prime? True Is 27693154613 a composite number? False Is 7014589799 composite? True Is 3720535699 prime? True Is 1329793849 a prime number? False Is 32826543835 a composite number? True Is 4247279193 a composite number? True Is 30155506223 prime? True Is 125263353 prime? False Is 232138423 a composite number? True Is 5358376315 a composite number? True Is 2660068949 composite? True Is 26716949863 prime? True Is 25427037941 composite? True Is 309572707 a composite number? True Is 46304996411 prime? False Is 3178042183 composite? True Is 149025839 a prime number? True Is 13801755566 prime? False Is 45740882971 a composite number? True Is 362221619 a composite number? False Is 512692261 a prime number? False Is 83991361 composite? False Is 1629158099 prime? True Is 1127218721 prime? False Is 75325315033 a composite number? False Is 92924319833 a composite number? False Is 700146520301 a prime number? True Is 95307540607 a prime number? True Is 18435851047 a composite number? False Is 32575679 a prime number? False Is 411463313 prime? True Is 2966832101 composite? True Is 22178331899 composite? False Is 322820027 prime? True Is 54013346819 a composite number? True Is 52406825143 composite? False Is 11926155415 a prime number? False Is 62587804763 a composite number? True Is 285216661 a prime number? True Is 5281246423 a composite number? True Is 809032801 prime? True Is 21786544373 composite? True Is 42668259103 a composite number? False Is 1760038165 a prime number? False Is 1772433371 composite? True Is 2572825421 a composite number? False Is 1816675409 prime? True Is 7540736449 prime? True Is 43923388009 prime? False Is 11127786809 prime? True Is 799029931 a prime number? False Is 10844913017 composite? False Is 2654402347 a composite number? False Is 4993860707 composite? True Is 559124177 a prime number? False Is 1157108959 a composite number? True Is 4982491751 composite? True Is 38669639147 composite? True Is 43438934059 a prime number? False Is 265163131517 prime? True Is 1716923371 a composite number? False Is 3680981147 a composite number? False Is 23880487 a composite number? False Is 16907593693 prime? False Is 270788303917 composite? False Is 2484121553 prime? True Is 110905931 a prime number? False Is 117080653 prime? True Is 3699146929 a composite number? True Is 1689274199 a composite number? False Is 76787811823 composite? False Is 837121609 a composite number? False Is 2773302118 prime? False Is 16412264893 a composite number? False Is 736338389 composite? False Is 18433232747 a prime number? False Is 414522139 composite? False Is 495981289 a composite number? False Is 53095219577 composite? True Is 23542213759 prime? True Is 1826644009 a composite number? True Is 9411697039 a composite number? False Is 589261927 prime? True Is 3252420277 a composite number? True Is 1226939053 a prime number? False Is 12907558831 a prime number? False Is 4315754171 prime? True Is 126507357017 prime? True Is 23775044749 prime? False Is 9711978469 a prime number? True Is 255350971 a composite number? False Is 4172896589 composite? False Is 859718513 a composite number? True Is 2047276481 prime? True Is 11255323957 prime? False Is 466348733 a prime number? True Is 696527609 prime? False Is 15536123201 prime? True Is 1774135157 a composite number? False Is 2034944867 a composite number? False Is 3378665117 composite? False Is 1640453181 prime? False Is 1800383917 a prime number? True Is 9162942571 a prime number? True Is 6829479413 prime? False Is 1594197497 a prime number? True Is 34886141747 prime? True Is 11488036309 a composite number? False Is 866916007 a prime number? True Is 3473041249 prime? False Is 18758023233 composite? True Is 1767837283 a prime number? True Is 22046170547 prime? False Is 1047765611 a prime number? False Is 1010186033 composite? True Is 48323431659 a composite number? True Is 9265945739 composite? True Is 1924363019 a prime number? True Is 93432080057 prime? True Is 83533890751 composite? True Is 2443500442 prime? False Is 9865291213 prime? True Is 156737171 a prime number? True Is 80821988659 a composite number? True Is 3639110753 prime? True Is 1940007623 a composite number? True Is 572963 a prime number? True Is 103475714621 composite? True Is 951331207 a composite number? True Is 46981576777 a composite number? False Is 592948019 prime? True Is 105583788811 a composite number? False Is 41494403 a prime number? True Is 39966923 a composite number? True Is 24399123989 composite? True Is 1117289783 a prime number? False Is 35685187 composite? True Is 2511181697 a prime number? False Is 5931802133 a composite number? False Is 83175359 a prime number? True Is 6752824621 composite? True Is 2122402957 a composite number? True Is 58745216813 composite? True Is 187202188007 a composite number? True Is 4107246729 a prime number? False Is 41439140179 a composite number? False Is 86916001 a composite number? True Is 14732302843 composite? False Is 75008686835 a prime number? False Is 11266275277 a prime number? False Is 11984146157 composite? False Is 309252667 prime? True Is 5447896271 a composite number? False Is 2245807061 a prime number? True Is 542739803 a composite number? True Is 258426513989 composite? True Is 8132537641 a prime number? False Is 66019628869 composite? False Is 15554213263 composite? True Is 1437992011 composite? False Is 2355745297 composite? False Is 241857023 a composite number? True Is 17495351437 prime? False Is 490819579 a composite number? False Is 48441520419 composite? True Is 1056411921 a composite number? True Is 1726042105 a composite number? True Is 548566145 a prime number? False Is 123511133761 a prime number? False Is 52251787837 a prime number? True Is 594826693 prime? False Is 592260353 a prime number? False Is 7301872829 a prime number? True Is 7418930257 composite? False Is 4210035007 a composite number? True Is 2032764421 a composite number? False Is 35336555957 composite? False Is 26135337749 prime? True Is 175967057267 prime? True Is 1241342797 composite? True Is 341562257 a composite number? True Is 15679006097 a prime number? True Is 5660008327 composite? False Is 2269007837 a composite number? True Is 8048407271 composite? True Is 5398179317 a prime number? True Is 1871107291 composite? False Is 189435014869 prime? False Is 54178606793 prime? True Is 704444567 a composite number? True Is 5216627 a prime number? False Is 19563299843 prime? True Is 11074066867 prime? True Is 4524785903 composite? True Is 184262381 composite? False Is 23504236417 prime? False Is 31889559518 a prime number? False Is 14972254537 prime? True Is 213797123 composite? True Is 626167807 a composite number? False Is 23029606499 a composite number? True Is 107973097 a prime number? True Is 189076081 prime? False Is 9782243879 a composite number? True Is 8737436921 prime? True Is 6667729273 a prime number? False Is 1141076801 a prime number? True Is 13451454503 prime? True Is 14700071669 prime? False Is 60574716991 a prime number? True Is 2671804061 prime? True Is 236266961 prime? False Is 20010519597 prime? False Is 31355525947 prime? True Is 42097783211 composite? True Is 2423862349 composite? True Is 16800853879 a prime n
{ "pile_set_name": "DM Mathematics" }
13456/9219 -309562316 divided by -34 9104774 Calculate 1208197 divided by -77. -1208197/77 2946176 divided by 6 1473088/3 -28854160 divided by -140752 205 Divide 5 by 77084632. 5/77084632 Divide -2262610 by -14. 161615 Divide 4687 by -1602. -4687/1602 -27158 divided by 461 -27158/461 31863307 divided by 202951 157 Divide 223 by -4547. -223/4547 What is 22884512 divided by -1444? -15848 Divide 8 by -130474341. -8/130474341 Calculate 236666 divided by -22. -118333/11 -32432800 divided by 16216400 -2 -254646120 divided by 5 -50929224 Calculate -12167586 divided by -6. 2027931 187400070 divided by -585 -320342 What is -13308185 divided by 5? -2661637 Calculate -1144147 divided by -11. 1144147/11 What is -5 divided by 1623885? -1/324777 Calculate 14067135 divided by 1563015. 9 -55 divided by -78612 55/78612 What is 25325406 divided by 7587? 3338 Calculate -795639 divided by 795639. -1 Divide 5787882 by 214366. 27 Calculate -163385788 divided by -4. 40846447 -8864 divided by 726 -4432/363 What is -37011612 divided by -6? 6168602 Divide 12110613 by -4233. -2861 Calculate -9852 divided by 16011. -3284/5337 -270991 divided by 4 -270991/4 Divide -1653 by 59511. -551/19837 Divide -722 by -427769. 722/427769 Divide -6395 by 1750. -1279/350 Divide 47584479 by -629. -75651 What is -247532852 divided by -21182? 11686 What is 179 divided by -145864? -179/145864 -15747480 divided by -189 83320 Divide -38545734 by -273374. 141 Calculate -12183773 divided by -107821. 113 What is 10828 divided by 574? 5414/287 51460700 divided by -68 -756775 What is -2875 divided by 30258? -2875/30258 Divide -107 by -1084925. 107/1084925 44141566 divided by 1498 29467 Divide -6106 by 14714. -3053/7357 What is 4 divided by 156581359? 4/156581359 Divide 6078660 by 42. 144730 Divide -45167172 by 11291793. -4 What is 48209 divided by -85? -48209/85 Calculate -67687625 divided by 85. -796325 Calculate -23009994 divided by 1773. -12978 Calculate -39228700 divided by 392287. -100 Divide 9603 by 10829. 9603/10829 What is -2435 divided by -952? 2435/952 -36927675 divided by 123 -300225 Divide 1082717 by -11. -1082717/11 Divide 25465764 by -1. -25465764 -2509 divided by 138668 -2509/138668 Divide 87817956 by 21954489. 4 What is -402 divided by -13668? 1/34 Divide 0 by -215468. 0 Divide -2336646 by 59914. -39 Divide -526856427 by -19513201. 27 Calculate -5408910 divided by 90. -60099 What is -244290054 divided by -3? 81430018 Calculate 41100813 divided by 1. 41100813 Calculate -73232044 divided by 31. -2362324 -7 divided by 1291692 -7/1291692 What is -795222340 divided by 27421460? -29 Divide -239797493 by 11227. -21359 Calculate -145752 divided by -4. 36438 Divide -478574 by 1. -478574 Calculate -19508243 divided by -47. 415069 What is 81795952 divided by 4? 20448988 157 divided by -436197 -157/436197 Divide -7641184 by 31. -7641184/31 Calculate 2066211 divided by -32797. -63 Divide 55443021 by 18481007. 3 What is 164821 divided by 58? 164821/58 What is 132279540 divided by -5? -26455908 273098988 divided by -869742 -314 -6 divided by 20160834 -1/3360139 Calculate -6637752 divided by 35496. -187 Calculate 4 divided by -17921440. -1/4480360 1 divided by 694733 1/694733 285 divided by 4885 57/977 Calculate -11440737 divided by 77. -148581 Divide -386519612 by -6. 193259806/3 -1699286 divided by 82 -20723 Calculate -102 divided by 50357. -102/50357 -285491667 divided by -753 379139 175 divided by -16427 -175/16427 -3 divided by -20773756 3/20773756 Divide -6 by -18277754. 3/9138877 Divide -12094497 by 1731. -6987 Calculate 1 divided by -36965. -1/36965 Divide -9736276 by -442558. 22 Divide -145407960 by -5. 29081592 215214 divided by 631 215214/631 11897305 divided by 2 11897305/2 Calculate -4853648 divided by -61. 79568 What is 4626 divided by -848? -2313/424 Divide -197267403 by -197267403. 1 18740253 divided by -7329 -2557 -10523440 divided by 263086 -40 -1168998650 divided by 2 -584499325 810995277 divided by -1 -810995277 What is -151995288 divided by 6333137? -24 Divide 58761 by 162. 6529/18 139797028 divided by -34949257 -4 Divide 126 by -179231. -126/179231 Divide 892 by 255951. 892/255951 -3 divided by 8381026 -3/8381026 -2219911254 divided by 6 -369985209 Divide -10589808 by -1323726. 8 Calculate -229924750 divided by -45984950. 5 Divide -34366207 by 1. -34366207 What is 832145 divided by -5? -166429 Divide -28568322 by 6. -4761387 Calculate 12530666 divided by -737098. -17 What is -128381471 divided by -3? 128381471/3 Divide 932 by 442108. 233/110527 Divide 2033424 by 2092. 972 Divide -945 by -26203. 945/26203 45146464 divided by 22573232 2 40 divided by -593732 -10/148433 -1488786 divided by -37 1488786/37 Calculate -182468259 divided by 6. -60822753/2 Calculate 10815720 divided by 1081572. 10 Calculate 1251282236 divided by 3. 1251282236/3 What is -15233805 divided by -9? 1692645 Calculate -1520974 divided by 7. -217282 12357116 divided by 4 3089279 Calculate -148 divided by -33069. 148/33069 What is -18483219 divided by -57? 324267 What is -621195 divided by -12? 207065/4 98124111 divided by -4 -98124111/4 498710 divided by 5 99742 What is -11151 divided by 54273? -3717/18091 -3 divided by 767553 -1/255851 What is -742532224 divided by 185633056? -4 -302797 divided by -11 27527 What is -102 divided by -721961? 102/721961 Divide 576040 by -90. -57604/9 -54496136 divided by 13624034 -4 -479291799 divided by -3 159763933 Calculate 0 divided by -10578108. 0 25350112 divided by 424 59788 What is 118 divided by -339401? -118/339401 Divide 120 by 155096. 15/19387 What is -34285640 divided by -4285705? 8 Divide -36991644 by 4. -9247911 What is 2177672 divided by -336? -38887/6 What is 47918102 divided by -2? -23959051 Divide 664643136 by -374236. -1776 Calculate -4544373 divided by 6. -1514791/2 Calculate 5605710 divided by 3. 1868570 What is -208967 divided by -327? 208967/327 Calculate -1 divided by -1210944. 1/1210944 3215202 divided by 5721 562 483019 divided by 8 483019/8 What is -65936832 divided by 32? -2060526 What is -75937608 divided by -12656268? 6 Divide -1476664 by -7. 210952 -16765104 divided by -81384 206 -4179812 divided by 1 -4179812 What is -14163390 divided by -1? 14163390 546542285 divided by -5 -109308457 What is -3691566 divided by -6122? 603 Calculate -4 divided by -33873381. 4/33873381 4282430 divided by 5 856486 Calculate -38909682 divided by -399. 97518 Divide -169 by 12104. -169/12104 380 divided by 266180 19/13309 Divide 24933790 by 712394. 35 Calculate -3115750 divided by 30250. -103 Calculate -52271 divided by 23. -52271/23 20542 divided by 148 10271/74 Divide -126828488 by -126828488. 1 What is -488176982 divided by -6? 244088491/3 -2797 divided by -1212 2797/1212 Calculate 1 divided by -11411588. -1/11411588 -106607830 divided by -53303915 2 Calculate -161820 divided by 2610. -62 12748890 divided by 4 6374445/2 Divide -387094840 by -272602. 1420 What is -51406035 divided by -10281207? 5 Divide -568837854 by 1347957. -422 Divide -4978 by 1336. -2489/668 13831464 divided by 4610488 3 Calculate 2012 divided by 10819. 2012/10819 -2576345 divided by -1 2576345 What is 27537 divided by -3802? -27537/3802 Divide -25 by -20152632. 25/20152632 Calculate 14411928 divided by -51288. -281 Divide 23357352 by 6. 3892892 323955 divided by 45 7199 -16519520 divided by 335 -49312 What is 88380 divided by 64? 22095/16 What is 780814 divided by -294? -390407/147 What is 3369 divided by 2766? 1123/922 Divide 487760 by 36. 121940/9 Calculate 145575670 divided by -5. -29115134 Calculate 126 divided by 13509. 14/1501 -5883340 divided by 2941670 -2 Calculate -14404735 divided by -5945. 2423 Divide 2896892 by -893. -3244 -115095 divided by -168 38365/56 What is 2429595 divided by -9? -269955 What is 13642 divided by -3952? -359/104 Divide 1743 by -5730. -581/1910 Calculate 88 divided by 569819. 88/569819 919 divided by -17214 -919/17214 What is 376464755 divided by -122827? -3065 Calculate -37 divided by -23134. 37/23134 Divide -2077 by -1626. 2077/1626 -83917930 divided by -5 16783586 What is 9689 divided by 1896? 9689/1896 Calculate 109472256 divided by 31676. 3456 What is -6455463 divided by -73? 88431 Divide -46944037 by -7. 6706291 Calculate 2928688 divided by -662. -4
{ "pile_set_name": "DM Mathematics" }
8*b - 8 + 5*b - 11*b. Determine m(6). 4 Let c(y) = 7*y. Let z be (-18)/(-4) - (-5)/10. Suppose -2*w = -2, t - z*w + 1 + 2 = 0. What is c(t)? 14 Let f(w) = -w**2 - 5*w + 5. Let p = 4 - 10. Let q be f(p). Let s = -4 - q. Let u(k) = -k**3 - 2*k**2 + 3*k + 2. Determine u(s). 2 Let o(q) = q**3 - 3*q**2 + 3*q - 3. Suppose 4*g = -t - g - 22, 5*g + 70 = -5*t. Let a = t + 14. What is o(a)? -1 Let n(g) = g + 1. Suppose -4*j - 31 = -43. Give n(j). 4 Let r(m) = -4*m - 4. Let p(k) = 17*k + 17. Let g(v) = 6*p(v) + 26*r(v). Let z be (2 + (-28)/12)/((-5)/(-30)). Calculate g(z). 2 Let t(j) = 9*j - 2. Let g(y) = y - 1. Let x(s) = -3*g(s) + t(s). Give x(-2). -11 Let b be (-30)/(-7) - 4/14. Suppose b*u - 15 = l, -3*u - 2*l - 1 = -4. Let d(a) = a. Let k(z) = z**2 + z - 3. Let p(w) = 4*d(w) - k(w). What is p(u)? 3 Let s(c) = -9*c - 4. Let b(z) = 8*z + 4. Let u(k) = 6*b(k) + 5*s(k). Calculate u(-3). -5 Let a(y) be the first derivative of 0*y + 1/2*y**2 - 1/4*y**4 + 2/3*y**3 - 1. Suppose 5*t = 4*t + 2. Determine a(t). 2 Let g(q) = -1. Let i(x) = x**3 + 3*x**2 + 7. Let c(d) = 6*g(d) + i(d). Let t be c(-3). Let f(p) = 0 + 3*p + 2*p + 1. What is f(t)? 6 Let r(b) be the first derivative of -b**5/60 - b**4/6 - b**3/6 - 3*b**2 - 5. Let y(k) be the second derivative of r(k). Determine y(-3). 2 Let h(d) be the third derivative of d**5/60 - d**4/6 - d**3/2 + 3*d**2. Let y = -12 - -17. Determine h(y). 2 Let t(j) = 5*j**2 + 25*j + 9. Let f(m) = -m**2 - 5*m - 2. Let r(y) = -11*f(y) - 2*t(y). Determine r(-5). 4 Let n(z) = z**3 + z - 20*z**2 + 16*z**2 + 2*z + 2. Give n(3). 2 Let n(l) = -l**3 + 5*l**2 - 4*l + 5. Suppose -4*y + 4*x + 0 = -4, x = 2. Let k = y - -1. Give n(k). 5 Suppose 0 = 9*b - 21*b + 36. Let r(j) = -5*j + 1. Let c(a) = a + 1. Let v(h) = 3*c(h) + r(h). What is v(b)? -2 Suppose -2*n + 26 = 3*n - q, -3*n + 5*q + 20 = 0. Suppose k = -n*z + 24, -3*k = 4*z - 0*k - 17. Let r(f) = f**3 - 4*f**2 - 7*f + 6. What is r(z)? -4 Suppose 0 = 3*a - 0*a - 6. Let n(k) = -3*k - a*k**2 + 4 + 0 + k**2. Suppose -2*f - 4*d = 8, 5*f - 2*f + 12 = -d. Determine n(f). 0 Let b be (-3 - (-12)/4)/(-4). Let s(h) = -h + 6. What is s(b)? 6 Let a(x) = -x**3 - x**2 - x + 3. Let h be a(0). Let d(n) = h + 0*n**2 - 4*n**2 - n**3 + 2*n + 3. Let l = 7 - 11. Determine d(l). -2 Let t(g) = g**2 + 11*g + 14. Suppose -2*s = -3*y - 38, 5*y + 3*s + 46 = 8. What is t(y)? 4 Let v(t) = 13*t + 5. Let s(j) = -3*j - 1. Let f(n) = -9*s(n) - 2*v(n). Suppose -6*w - 1 = -5*w. Let l = 1 + w. Determine f(l). -1 Let k(n) = n**3 + 2. Let t = 1 - -1. Let y be (14 + 2)/((-1)/t). Let b be (3/2)/(24/y). Calculate k(b). -6 Let j(o) = -4*o - o**2 + 8*o + o**3 - 5*o - 27. Let n be j(0). Let c be n/(-5) - (-8)/(-20). Let i(s) = -s - 1. What is i(c)? -6 Let j = -8 + 13. Suppose -i = -j*i + 44. Suppose h = 4*n + i, -2*n - 2*n + 2*h = 14. Let u(o) = -o - 2. What is u(n)? 0 Let u(l) = -l + 7. Let v be u(5). Suppose -r + a = 4*a + 2, v*a = -4*r - 18. Let k(b) be the first derivative of -b**2/2 - 8*b + 1. Determine k(r). -3 Suppose -k - 3*k + b = -24, 17 = 5*k + 2*b. Let p(x) = -x + 6. Determine p(k). 1 Suppose 4 = 4*x - 56. Suppose -2*v + 5 + x = 0. Let g(q) = v*q - 2*q + 0 + 1. What is g(-1)? -7 Let d(h) = -2*h**2 - 3*h. Let v(x) = 3*x**2 + 13*x + 16. Let y(z) = -4*z**2 - 13*z - 17. Let q(k) = -3*v(k) - 2*y(k). Let u be q(-12). What is d(u)? -2 Let z(f) = 2*f**2 - 4*f + 1. Let g(v) = 8*v**2 - 17*v + 4. Let i(m) = 2*g(m) - 9*z(m). Determine i(3). -13 Let d = 0 + 1. Let y(j) = 2 + 3*j - 1 - 4*j + 10*j. Give y(d). 10 Suppose 2*j + 0 = 4. Suppose -2*u + 3*u = j. Let w(s) = 2*s**2 + 5 - s**3 - 3*s**2 + 2*s**2 - 6*s**u. Calculate w(-5). 5 Let o(m) = -2*m**3 + 1. Let b(f) = -f**2 - 11*f - 2. Let s(v) = -v**2 - 6*v - 1. Let c(w) = -6*b(w) + 11*s(w). Let z be c(1). Let n be 2*6/z - -2. What is o(n)? 3 Let l(q) be the third derivative of q**2 + 1/24*q**4 + 0 - 1/360*q**6 - 1/6*q**3 - 1/24*q**5 + 0*q. Let y(o) be the first derivative of l(o). Determine y(-4). 5 Let n(o) = -7*o**3 + 4*o**2 + 7*o - 11. Let p(w) = -8*w**3 + 4*w**2 + 8*w - 12. Let x(q) = -7*n(q) + 6*p(q). Let i be (12/8)/(6/16). Determine x(i). 1 Suppose -3*f + 2 = 23. Let h = f + 4. Let y(u) be the first derivative of u**2/2 - 3. What is y(h)? -3 Let t(r) be the first derivative of r**4/4 + 7*r**3/3 - 5*r**2 - 10*r - 12. Determine t(-8). 6 Suppose 0 = -0*n + 2*n - 8. Suppose -n = 2*q + g - 3*g, 0 = q + g - 4. Let c be (-44)/16 + q/(-4). Let h(l) = -2*l - 3. What is h(c)? 3 Let z be 18/15 + (-1)/5. Let w(l) be the second derivative of l**5/30 + l**4/24 - 3*l**2/2 - l. Let v(u) be the first derivative of w(u). Give v(z). 3 Let y(o) = -3*o - 7. Let j(q) = -4*q - 5. Let d(f) = 17*f + 20. Let g(a) = 2*d(a) + 9*j(a). Let w(x) = 7*g(x) - 5*y(x). Calculate w(-1). -1 Let p(i) be the second derivative of -i**4/12 - 4*i**3/3 + i**2 - 7*i. Calculate p(-6). 14 Let k(o) = o + 8. Let m be (-29)/4 + (-3)/(-12). Determine k(m). 1 Let y(u) = u**2 + 5*u - 3. Let m be y(-6). Let r be -2*m/(-12)*-6. Let v(p) be the second derivative of -p**3/6 + p. Give v(r). 3 Let s = 0 + -3. Suppose -2*k + 4*k = 8. Let f(z) = 4 + k*z - z - 1. Determine f(s). -6 Suppose 0 = -6*x + 31 - 13. Let n(j) = j**2 - 3*j + 2. Determine n(x). 2 Let s(r) = -5 + 5 + 7*r - 6*r + 4. What is s(-5)? -1 Let a(t) = t**2 - 5*t + 4. Let r(v) = -3*v**2 + 14*v - 11. Let h(u) = -17*a(u) - 6*r(u). Suppose -d - 6 = -4*f, d - 2*f - 6 = -4*f. Give h(d). 4 Let j(g) be the third derivative of 5*g**4/24 + g**3/2 + g**2. Suppose 66*z = 69*z + 6. Determine j(z). -7 Let p be 18/(-24)*(-12)/3. Let c(i) = i**3 - 7*i**2 - 8*i + 3. Let t(w) = w**3 - 6*w**2 - 7*w + 2. Let s(f) = 5*c(f) - 6*t(f). Calculate s(p). -9 Let g(t) = 11*t - 3*t - 9*t. Let r = -8 + 12. Calculate g(r). -4 Let k(f) = -f**3 + 9*f**2 - 6*f + 5. Let c(n) = 2*n**3 - 18*n**2 + 11*n - 10. Let l(q) = 3*c(q) + 7*k(q). Give l(8). -3 Let m(z) = -2*z**3 + 7*z**2 - 15*z + 3. Suppose 20 = 2*y + 4. Let k(c) = -3*c**3 + 10*c**2 - 23*c + 4. Let t(l) = y*m(l) - 5*k(l). Determine t(5). 4 Let f(o) be the first derivative of -o**2 + 4*o + 1. Suppose -6 = -7*x + 15. Calculate f(x). -2 Let w(m) = m - 26 + 12 + 6. Determine w(-6). -14 Suppose 3 = -4*a - 17. Let o(m) = -m**3 - 4*m**2 + 6*m + 4. Determine o(a). -1 Let t = 6 - 0. Let m = t + -6. Let x be (-4 - (m - -2)) + 2. Let y(z) = z + 7. Calculate y(x). 3 Let d(x) = 3*x**2 + 4*x + 0 - x**3 + 0. What is d(4)? 0 Suppose 8*q = 3*q - 2*w - 33, 0 = 5*q + 5*w + 45. Let i(s) = 2*s**2 + 8*s + 6. Give i(q). 16 Let l(v) = v + v - 7*v - 6 + v**2. Let t = 10 + -5. Calculate l(t). -6 Let k(b) = -b + 1. Let a(u) = 0*u + 3*u - 5*u - 1 + 0*u. Let z(h) = a(h) - 5*k(h). Let w = 17 - 13. Determine z(w). 6 Let k(d) = 1 - 2*d + 0*d + 15*d**2 + 2*d. Let f be k(1). Suppose 4*m + f = -0. Let p(c) = c**2 + 2*c - 1. What is p(m)? 7 Suppose r - 4*w + 11 = 0, w - 29 + 5 = -4*r. Let f(g) = -5*g**2 - 2*g + 3*g + g**3 - 7*g**3 + r*g**3. Determine f(-5). -5 Let b(h) be the third derivative of -h**5/60 - h**4/24 - h**3/6 - 4*h**2. Give b(-4). -13 Let x = 7 - -9. Suppose 4 = m - 3*m + 2*y, 0 = -4*y - x. Let s(w) = w**2 + 6*w - 1. Calculate s(m). -1 Let u be (210/49 - 4) + 94/14. Let l(o) = -o**2 + 8*o - 10. Give l(u). -3 Suppose 3*y - 31 - 26 = 0. Suppose -5*u - q = 2*q - y, -4*q = 8. Let r(g) = g - 2. What is r(u)? 3 Let j(f) = 1 + 7*f**2 - 11*f**2 - 3*f**3 - 2*f + 2*f**3. Let y = -7 + 3. Give j(y). 9 Suppose 0 = -30*x + 28*x + 12. Let k(w) = -w**2 + 7*w + 5. Determine k(x). 11 Let k(m) = -m - 9. Let s(o) = -6*o + 16. Let l be s(4). What is k(l)? -1 Let n(v) = -v**2 - v + 2*v**2 - 1 + v**2. Let i(u) = u**2 - 1. Let k(o) = o**3 - 9*o**2 + o - 9. Let r be k(9). Let h be i(r). Give n(h). 2 Let t = 119 - 121. Let i(v) = v**3 - 4*v**2 - 3*v. Determine i(t). -18 Suppose 0 = 2*t - 3*x - 24, 2*t - 6*t = -x - 28. Let v(f) = f**3 + 7*f**2 + 5*f + 3. Let o(c) = -c**2 - c - 1. Let z(a) = t*o(a) + v(a). Give z(0). -3 Let a(n) = -2 - 3 + 2*n + 7. What is a(-4)? -6 Let q(a) = 5*a + 2. Let z(x) = -10*x - 4. Let s(l) = -13*q(l) - 6*z(l). Let u(r) = 5*r + 1. Let v(t) = 4*s(t) + 5*u(t). What is v(2)? 7 Let m(z) = 2*z**2 - z. Let t be m(2). Let i(d) = 2*d - 8. Calculate i(t). 4 Let k(l) = -l**2 + l. Let d be k(-1). Let j = -2 - d. Let c(n) = n**2 + 4*n + 3. Let s(q) = -q**2 - 5*q - 4. Let t(v) = -5*c(v)
{ "pile_set_name": "DM Mathematics" }
t h = 16 - c. Round h to 2 decimal places. 0.14 Let j = 9.46471 + -1067.99171. Let g = j - -1059. Round g to one decimal place. 0.5 Suppose 6*g + 2376 = 3*g. Let r = g + 332. Round r to the nearest one hundred. -500 Let k = 42.001 - 42. Let o = k - 0.00100044. Round o to seven dps. -0.0000004 Let y = -0.9525 - -0.33. What is y rounded to 1 decimal place? -0.6 Let w = -221 - -220.999545. What is w rounded to 4 decimal places? -0.0005 Let h = 5.1 + -6. Let x = h + 0.900026. What is x rounded to five dps? 0.00003 Let u = -47.2 - -16. Round u to the nearest ten. -30 Let o = -84 + 238. Let b = o + -154.0163. What is b rounded to 3 decimal places? -0.016 Let q(w) = 40068*w**3 - 6*w**2 - 12*w - 20. Let x be q(10). Let r = -15467260 + x. Round r to the nearest one million. 25000000 Let h = -0.1203 - -32.5703. Let b = h - 32. What is b rounded to 1 dp? 0.5 Let x = -125.8 + 18.8. Let t = x + 107.91. What is t rounded to 1 decimal place? 0.9 Let i = 3.888 - 2.07. Round i to one dp. 1.8 Let o = -1.86 - -76.86. Let v = o - 75.000046. What is v rounded to 5 decimal places? -0.00005 Let q = 3125 - 3142.9932. Let t = 18 + q. What is t rounded to three dps? 0.007 Let c = -1390.999998143 - -1391. What is c rounded to six decimal places? 0.000002 Let r = -0.656 - -0.076. Let l = r - -0.58184. What is l rounded to three dps? 0.002 Let p = 1886 - 1886.000977. Round p to 4 dps. -0.001 Let d = -96 - -101.35. Let b = d + -1.82. What is b rounded to 1 dp? 3.5 Let o = -14 - -12. Let h be (o/(-6))/(14/42). Let f be (-94 - -4)*(-139 - h). What is f rounded to the nearest 1000? 13000 Let a = -1.559995912 - -1.56. What is a rounded to seven dps? 0.0000041 Suppose -3*x - 70 = 1334. Let m be (450/54)/(1/x). Round m to the nearest 10000. 0 Let m = 1529.3708769 + -1598.370897. Let z = -69 - m. Round z to 6 dps. 0.00002 Let m(t) = -t**2 + 9*t - 4. Let x be m(8). Suppose -2*b = -93 + 97. Let n be (-16)/x - b - -34. What is n rounded to the nearest ten? 30 Let v = 7233325 + -21023325. Round v to the nearest 1000000. -14000000 Suppose 8*g = -11348 + 2324. Suppose 3*b = -5*x + 6860, 0*x + 3*b - 1372 = -x. Let l = x - g. Round l to the nearest 1000. 3000 Let o = -3087 - -8007. What is o rounded to the nearest ten thousand? 0 Let u = 9.1 - 14.052. Let x = 5 + u. Let b = x + 7.152. Round b to zero dps. 7 Let a = 2630 - 2629.999996847. Round a to 7 dps. 0.0000032 Let z = 155 + -157. Let k = 7 - 5. Let c be 2/z - k - 489997. Round c to the nearest one hundred thousand. -500000 Suppose 74313000 = -22*i + 31*i. Round i to the nearest one million. 8000000 Let a = 0.044001128 + -0.044. What is a rounded to 6 dps? 0.000001 Let q = -1109.00577 + 1109. Round q to three decimal places. -0.006 Let s = 125 - 95.2. Let o = s + -4.8. Let i = o - 25.0032. What is i rounded to 4 dps? -0.0032 Let s = -1.20701 - -27.20591. Let u = -43 - -17. Let o = s + u. What is o rounded to 3 decimal places? -0.001 Suppose -9*d = -d + 21352. What is d rounded to the nearest 10? -2670 Let q = -9.96 + 10. Let b = q + -0.1. Let u = 0.0575 + b. What is u rounded to 3 dps? -0.003 Let t = -2897 - -2896.9992245. What is t rounded to 4 decimal places? -0.0008 Let a = 826.00342 - 826. Round a to 3 dps. 0.003 Let r = -266 - -239. Let s = -66567303.999989 - -66567277. Let w = r - s. What is w rounded to five dps? -0.00001 Suppose 2*n = -n + 12. Let c be 487*(n + 49 + 2). Suppose -y + 4*j + 0*j - 13380 = 0, 2*y = 3*j - c. What is y rounded to the nearest 1000? -13000 Let r be (5/(-4))/(1/8). Let z(b) = 150002*b + 20. Let q be z(r). Round q to the nearest one hundred thousand. -1500000 Let x = -4470 - -1770. What is x rounded to the nearest one hundred? -2700 Let m = -92 - -88.3. Let z = 3.59 + m. What is z rounded to one decimal place? -0.1 Let z = -0.513 - -0.5602. Round z to 1 decimal place. 0 Let x = -0.179 + 14.879. Let f = 1 + x. Round f to the nearest integer. 16 Let x = -2564.0133 + 2562.5. What is x rounded to two dps? -1.51 Suppose 4*k = -y + 576, -k + 0*y - 3*y = -133. Let h = k + -96. What is h rounded to the nearest 10? 50 Let d = 298.99 + -314. Let h = d + 15. Let p = 0.13 + h. What is p rounded to one dp? 0.1 Let o = 295.2712939 - 295.27. Round o to four decimal places. 0.0013 Let o = -0.866 + -6.174. What is o rounded to zero dps? -7 Let d be (-8 - 21/28)*-39840. Round d to the nearest 100000. 300000 Let q be ((-4)/(-5))/((-2)/(-1103985)). Suppose -4*c - t = -588797, 3*c - 2*t = -4*t + q. Suppose 0 = 2*f - 10*f + c. What is f rounded to the nearest 1000? 18000 Let c = 75.8696 - 75.9. Round c to 2 dps. -0.03 Let h = -9 - -26. Let x(q) = -1405*q**2 - 11 + 30 - 1224*q**2 - 14*q. Let c be x(h). What is c rounded to the nearest 100000? -800000 Let m be ((-168)/18)/((-4)/(-156)). What is m rounded to the nearest 100? -400 Let q = -2.02 - -2.4. Let a = -0.08 + q. Let r = a - 0.2928. Round r to 3 decimal places. 0.007 Let z = -205 - -198.24. Let x = z + -0.24. Let a = 6.999 + x. Round a to three dps. -0.001 Let l(k) = 7*k**3 + 18*k**2 - 14*k - 9. Let x(r) = -4*r**3 - 9*r**2 + 7*r + 4. Let z(f) = -3*l(f) - 5*x(f). Let y be z(-7). Round y to the nearest one hundred. -100 Let c = -30378 + 30377.9352993. Let w = c + 0.1057084. Let u = w + -0.041. Round u to 6 dps. 0.000008 Let i = -0.0576 - -11.8176. What is i rounded to zero decimal places? 12 Let v = -0.21 + 0.26. Let b = v + -2.45. Let g = -2.39935 - b. Round g to 4 dps. 0.0007 Let p = -2.579 + 0.159. Round p to the nearest integer. -2 Let f = -151.24 + 162. Round f to zero decimal places. 11 Let a be 2705040068/442 + (2/(-13))/1. Round a to the nearest one million. 6000000 Let o(z) = 47*z**3 + 10*z**2 + 9*z + 14. Let r be o(-9). What is r rounded to the nearest one thousand? -34000 Let g = -3 + -29. Let u = -34.1 - g. Round u to the nearest integer. -2 Let h = -22 - -34. Let r = 21 - h. Let v = -9.0049 + r. Round v to 3 decimal places. -0.005 Let n = 37706 + -17020. Suppose 4*j + n = -19750. Let t = 19109 + j. What is t rounded to the nearest one thousand? 9000 Let t = 37 + 7. Let w be (-8)/t + 2970002/11. What is w rounded to the nearest 100000? 300000 Let s = -159 + 159.978. Round s to two decimal places. 0.98 Let l = -0.0226 + -3.3184. Round l to 1 dp. -3.3 Let h = -487 - -438.1. What is h rounded to 0 decimal places? -49 Let t = -5.1134 + 239.4641. Let l = 224.35091 - t. Let n = 10 + l. What is n rounded to four dps? 0.0002 Let c = -118.9 - -118.908185. Let m = -0.008 + c. What is m rounded to 5 dps? 0.00019 Let f = -1759.000851 - -1759. Round f to four decimal places. -0.0009 Let k = 19.8 - -63.2. Let a = 82.714 - k. Let o = a - -0.022. What is o rounded to 2 decimal places? -0.26 Let f = 215.001 + -1769.131. Let u = f + 1564. Let y = 1.23 + u. What is y rounded to zero decimal places? 11 Let g = -2013.6 - -2338. Let o = -1.4 + g. Let q = 322.9999859 - o. Round q to 6 decimal places. -0.000014 Let h = -0.12 - -1.22. Let s = 25343.9001 + -25345. Let c = h + s. Round c to four dps. 0.0001 Let n = 42440 + -23930. Round n to the nearest 1000. 19000 Let w = 3271537 + -1039537. Round w to the nearest 100000. 2200000 Let c = 395896165 + -395896235.0000033. Let z = c - -70. Round z to 5 dps. 0 Suppose -16*n + 4906000 = 28*n. Round n to the nearest ten thousand. 110000 Let b = -8 + 3. Let u be 3*3 - (b - -3). Let l be 2/11 - (-3299998)/u. What is l rounded to the nearest one hundred thousand? 300000 Let f(n) = -n**3 + 6*n**2 - 9*n + 6. Let r be f(3). Suppose 150272729 - 23672729 = r*b. Round b to the nearest one million. 21000000 Let x be ((-28)/8)/((-2)/22856). Suppose -h = h + x. Let s be (0/2 - 1) + h. Round s to the nearest 10000. -20000 Let s = -76 - -76.43. Let q = s + -0.4255. Round q to three dps. 0.005 Let q = 196.8 + -195. Let f = -107355794 + 107355795.79999993. Let l = f - q. Round l to seven decimal places. -0.0000001 Let m = -18.33 + 18.3301799. What is m rounded to five decimal places? 0.00018 Let f(m) = 970*m - 760. Let k be f(18). What is k rounded to the nearest one thousand? 17000 Let x = 3.1 + 37.9. Let v = x - 41.00000061. What is v rounded to 7 decimal places? -0.0000006 Let r(d) = 1200*d**3 - d + 1. Let s(n) = n**2 + 3*n. Let c be s(-3). Suppose c = 3*a - 1 - 2. Let l be r(a). Round l to the nearest 1000. 1000 Let t = -1774779443 + 1774779400.0294
{ "pile_set_name": "DM Mathematics" }
249134, 840646, 1992516, 3891530? 31131*i**3 + 23*i + 40 What is the u'th term of -594540, -594585, -594660, -594765, -594900, -595065? -15*u**2 - 594525 What is the q'th term of 382, 3884, 13626, 32752, 64406, 111732? 524*q**3 - 24*q**2 - 94*q - 24 What is the p'th term of -254127, -254098, -254069, -254040, -254011? 29*p - 254156 What is the j'th term of -2039, -3103, -4881, -7379, -10603, -14559? -j**3 - 351*j**2 - 4*j - 1683 What is the j'th term of -1107579, -2215162, -3322745, -4430328? -1107583*j + 4 What is the s'th term of 45272, 90515, 135756, 180995, 226232, 271467, 316700? -s**2 + 45246*s + 27 What is the m'th term of 20521114, 41042249, 61563384, 82084519, 102605654, 123126789? 20521135*m - 21 What is the t'th term of -2837634, -5675103, -8512572? -2837469*t - 165 What is the y'th term of 1656126, 6624539, 14905234, 26498211, 41403470? 1656141*y**2 - 10*y - 5 What is the h'th term of -2262352, -4524339, -6786328, -9048319, -11310312? -h**2 - 2261984*h - 367 What is the y'th term of 23709, 48219, 72729, 97239? 24510*y - 801 What is the u'th term of -5753, -11843, -17927, -24005, -30077? 3*u**2 - 6099*u + 343 What is the l'th term of -2943, -3065, -3217, -3399? -15*l**2 - 77*l - 2851 What is the j'th term of -207, -848, -1959, -3774, -6527, -10452? -39*j**3 - j**2 - 365*j + 198 What is the z'th term of -154184, -153549, -152914, -152279, -151644, -151009? 635*z - 154819 What is the x'th term of 5068716, 10137393, 15206070? 5068677*x + 39 What is the f'th term of -102709041, -102709039, -102709037, -102709035, -102709033, -102709031? 2*f - 102709043 What is the h'th term of 3044, 9110, 19220, 33374, 51572, 73814, 100100? 2022*h**2 + 1022 What is the o'th term of -11, -197, -647, -1457, -2723, -4541? -16*o**3 - 36*o**2 + 34*o + 7 What is the a'th term of 138167, 276290, 414403, 552500, 690575? -a**3 + a**2 + 138127*a + 40 What is the d'th term of 42699, 85394, 128081, 170760, 213431, 256094? -4*d**2 + 42707*d - 4 What is the k'th term of 52117, 416840, 1406811, 3334654, 6512993, 11254452, 17871655? 52104*k**3 - 5*k + 18 What is the t'th term of 550, 2035, 4378, 7579, 11638, 16555? 429*t**2 + 198*t - 77 What is the l'th term of 102631, 205389, 308145, 410899, 513651? -l**2 + 102761*l - 129 What is the p'th term of 182598, 182838, 183078? 240*p + 182358 What is the j'th term of -41008191, -41008187, -41008183, -41008179, -41008175? 4*j - 41008195 What is the u'th term of 778239, 1556505, 2334771, 3113037, 3891303, 4669569? 778266*u - 27 What is the s'th term of -21715657, -43431329, -65147001, -86862673, -108578345, -130294017? -21715672*s + 15 What is the s'th term of 1424369, 5697479, 12819329, 22789919, 35609249? 1424370*s**2 - 1 What is the p'th term of -50154026, -100308053, -150462080, -200616107, -250770134, -300924161? -50154027*p + 1 What is the h'th term of 9656, 9672, 9704, 9758, 9840, 9956, 10112? h**3 + 2*h**2 + 3*h + 9650 What is the m'th term of 8278, 8756, 9232, 9706, 10178, 10648? -m**2 + 481*m + 7798 What is the z'th term of 5839, 2224, -1391? -3615*z + 9454 What is the j'th term of -16720, -33805, -50890? -17085*j + 365 What is the v'th term of -32063, -128235, -288511, -512891, -801375? -32052*v**2 - 16*v + 5 What is the y'th term of 2860, 7413, 11966, 16519? 4553*y - 1693 What is the a'th term of -8917, -17603, -26289, -34975? -8686*a - 231 What is the d'th term of -12031, -48118, -108251, -192430, -300655, -432926? -12023*d**2 - 18*d + 10 What is the r'th term of -687006, -686600, -686194? 406*r - 687412 What is the k'th term of -5956, -11637, -17318, -22999, -28680, -34361? -5681*k - 275 What is the b'th term of 88956, 355816, 800582, 1423254? 88953*b**2 + b + 2 What is the u'th term of 443100, 886281, 1329470, 1772667? 4*u**2 + 443169*u - 73 What is the i'th term of -5073686347, -5073686350, -5073686355, -5073686362, -5073686371, -5073686382? -i**2 - 5073686346 What is the y'th term of 1584254, 3168520, 4752784, 6337046? -y**2 + 1584269*y - 14 What is the i'th term of 2099, 6772, 14555, 25442, 39427? -i**3 + 1561*i**2 - 3*i + 542 What is the r'th term of -1313, 8343, 24437, 46969, 75939? 3219*r**2 - r - 4531 What is the g'th term of -1826477, -1826468, -1826453, -1826432, -1826405? 3*g**2 - 1826480 What is the v'th term of -52715, -55847, -58979, -62111? -3132*v - 49583 What is the r'th term of 71254, 68384, 63600, 56902? -957*r**2 + r + 72210 What is the w'th term of 5782, 11175, 16594, 22051, 27558, 33127, 38770? 2*w**3 + w**2 + 5376*w + 403 What is the t'th term of 2451, 2555, 2841, 3399, 4319? 15*t**3 + t**2 - 4*t + 2439 What is the p'th term of -7, 328, 1321, 3290, 6553? 53*p**3 + 11*p**2 - 69*p - 2 What is the q'th term of -1080583, -2161134, -3241685, -4322236? -1080551*q - 32 What is the x'th term of 78901, 157749, 236513, 315151, 393621, 471881, 549889? -7*x**3 + 78897*x + 11 What is the t'th term of -28299691, -28299688, -28299685, -28299682? 3*t - 28299694 What is the m'th term of -272, -430, -748, -1250, -1960, -2902, -4100? -4*m**3 - 56*m**2 + 38*m - 250 What is the t'th term of -208, -1029, -2402, -4327, -6804, -9833? -276*t**2 + 7*t + 61 What is the c'th term of 683756, 1367659, 2051566, 2735477, 3419392, 4103311, 4787234? 2*c**2 + 683897*c - 143 What is the v'th term of 263, 16, -235, -490? -2*v**2 - 241*v + 506 What is the u'th term of 13991, 26745, 39545, 52415, 65379, 78461, 91685? 4*u**3 - u**2 + 12729*u + 1259 What is the h'th term of 4041054, 8082107, 12123160, 16164213, 20205266, 24246319? 4041053*h + 1 What is the t'th term of -58013619, -116027230, -174040831, -232054416, -290067979? t**3 - t**2 - 58013615*t - 4 What is the g'th term of 6219, 6704, 7513, 8646? 162*g**2 - g + 6058 What is the g'th term of -4017, -17736, -41143, -74238, -117021, -169492, -231651? -4844*g**2 + 813*g + 14 What is the x'th term of 17262, 13795, 10328? -3467*x + 20729 What is the u'th term of 281345, 562697, 844075, 1125491, 1406957, 1688485, 1970087? 2*u**3 + u**2 + 281335*u + 7 What is the t'th term of 156423, 156292, 156073, 155766? -44*t**2 + t + 156466 What is the g'th term of -213784, -213734, -213684, -213634? 50*g - 213834 What is the p'th term of -63011, -252069, -567163, -1008293, -1575459, -2268661, -3087899? -63018*p**2 - 4*p + 11 What is the u'th term of -104942, -210099, -315256, -420413, -525570? -105157*u + 215 What is the i'th term of 7412, 29706, 66870, 118910, 185832, 267642, 364346, 475950? i**3 + 7429*i**2 - 18 What is the z'th term of 1529, 5312, 11363, 19676, 30245? -z**3 + 1140*z**2 + 370*z + 20 What is the q'th term of 75997631, 151995262, 227992893? 75997631*q What is the f'th term of 366343, 366290, 366215, 366112, 365975, 365798, 365575? -f**3 - 5*f**2 - 31*f + 366380 What is the f'th term of 4270, 4076, 3754, 3304? -64*f**2 - 2*f + 4336 What is the o'th term of -77494, -77582, -77670, -77758, -77846? -88*o - 77406 What is the b'th term of 14869, 59871, 134877, 239887, 374901? 15002*b**2 - 4*b - 129 What is the q'th term of -6916, -27596, -62040, -110248, -172220, -247956, -337456? -6882*q**2 - 34*q What is the x'th term of -6756452, -6756453, -6756456, -6756461, -6756468? -x**2 + 2*x - 6756453 What is the w'th term of -90736, -181428, -272120, -362812? -90692*w - 44 What is the q'th term of -76073, -152159, -228247, -304337, -380429? -q**2 - 76083*q + 11 What is the a'th term of -9115, -16102, -18803, -15076, -2779? 357*a**3 + a**2 - 9489*a + 16 What is the p'th term of -798, -1784, -3472, -5898, -9098, -13108? -6*p**3 - 315*p**2 + p - 478 What is the l'th term of 890, 1934, 3706, 6572, 10898, 17050, 25394? 61*l**3 - 2*l**2 + 623*l + 208 What is the x'th term of 980, 760, 426, -22, -584, -1260? -57*x**2 - 49*x + 1086 What is the x'th term of -33151, -33389, -33605, -33787, -33923? 2*x**3 - x**2 - 249*x - 32903 What is the p'th term of -2770, -4250, -6710, -10144, -14546? p**3 - 496*p**2 + p - 2276 What is the a'th term of 1063918, 2127832, 3191744, 4255654, 5319562, 6383468? -a**2 + 1063917*a + 2 What is the w'th term of 98796, 96169, 91798, 85689, 77848, 68281? w**3 - 878*w**2 + 99673 What is the y'th term of 51157, 102306, 153459, 204616, 255777? 2*y**2 + 51143*y + 12 What is the k'th term of -4242, -15954, -35474, -62802, -97938, -140882? -3904*k**2 - 338 What is the p'th t
{ "pile_set_name": "DM Mathematics" }
- (-2)/a. Solve -4*y - j*g + 21 = 0, -2*y + 5*g - 29 = 2*y for y. -1 Let n be -48 - -39 - 54/(-3). Solve -4*z + 23 = -5*s, 3*z + 0*z + 5*s = -n for z. 2 Let s(v) = v - 2. Let x be 4 - -1*((-15)/(-5))/3. Let g be s(x). Solve -g*r + 18 = 2*z, -6 = -r - 2 for z. 3 Let z(h) = h**3 + 37*h**2 - 36*h + 85. Let o be z(-38). Suppose 91*d + o = 94*d. Solve -d*b + 0*f - 2 = -4*f, -5*b = -2*f + 8 for b. -2 Let h = -53 - -65. Let n = -5 - -9. Solve g = -u + n, g + 2*g = 5*u - h for g. 1 Suppose 19*w - 6*w - 4823 = 0. Let h = -366 + w. Solve -4*v = 5*d + 1, 2*v + 2*d + h = d for v. -4 Let h(b) = 2*b**2 + 15 - 5*b - b**2 + 13 - 5*b. Let v be h(6). Solve 5*i + v*y = i, -i = 2*y for i. 0 Suppose 5*f - 10 = -2*m, -4*f + 9*f = 4*m - 20. Suppose -11*s + 111 - 12 = f. Let q = s + -6. Solve -15 = g - 5*l, -q*l = -5*g - l - 29 for g. -5 Let u(h) = h**3 + h**2 + 2*h + 110. Let g be u(0). Let x = g - 84. Let f(a) = a + 15. Let z be f(-12). Solve 3*b = 4*y + x, 2*y = y - z*b + 1 for y. -5 Let n be 5*(14/(-21))/((-16)/120*5). Solve 3*x - 13 = -5*h, -n*h + 1 = 4*x - 18 for h. -1 Let d be (-29)/(4/(-2 + 10)). Let k = 78 + d. Suppose -3*f = -i - k, -5*f - 3*i = -10 - 0. Solve -b = f*s - 15, -2*b - 2*b - 4*s = -12 for b. 0 Suppose -59*u + 97 = -264 - 111. Solve 5*f - 2*t + 8 = 0, -3*f - 3*t - u = -5*t for f. 0 Suppose 2*l - 5*b = -15, -23*b - 35 = -4*l - 26*b. Solve -2*v = -l*f, 2*v - 26 = -2*f - 40 for f. -2 Let d be (2*3)/(-14 + 15). Let o be d*-1 + 4 + 7. Suppose q + 3 = 4*q + 3*l, -q = -o*l - 13. Solve 24 = -5*z - 2*i, 4*z + 4*i + 27 = q for z. -4 Let b = -29 - -25. Let a be (-3 - b)*2*-1 - -4. Suppose 0 = -a*o - 5*s + 7, -o = -3*o + 2*s + 14. Solve 3*l - 2*x = -4*x + o, -2*l + 4*x + 20 = 0 for l. 4 Let z = 67 + 27. Let g = 94 - z. Solve -2*a + 14 = -5*o, -4*a + 3*o + 2*o + 8 = g for a. -3 Suppose 9013 = 33*g - 13163. Let z = g + -669. Solve 3*v = z*j + 30, -v = -5*v + 3*j + 35 for v. 5 Suppose 2*m = -2*s + 24, m + 4 = 6. Let k be (4/(-5))/(s/(-25)). Suppose 16 = l - 4*r, -5*r - 12 = -k. Solve -l*b = -3*o - 4*b + 31, -2*b - 23 = -3*o for o. 5 Let w(p) = 2*p**3 + 13*p**2 + p - 16. Let o be w(-5). Suppose 15*h + o = 17*h. Solve -5 = -v - 2*y, -5*v - y - h = -4*y for v. -3 Let a be (-12)/9*18/(-12). Suppose -3*t + a*l = -12, -2*t + 2*l = 3*t - 16. Suppose 17 = -h + 23. Solve t*w + 1 = -3*r - 6, 3*w - h = r for r. -3 Let w = 106 + -64. Let x = w - 77. Let y = x + 37. Solve y*l + 4*k - 14 = -0, 0 = -l + 4*k - 23 for l. -3 Suppose 3*n - 4 = 8. Suppose 32*l = 121*l - 89. Solve -w = 0, -a + n = -2*w + l for a. 3 Let c(r) = -190*r + 572. Let z be c(3). Solve 2*x = -z*b, -3*b - 38 = -3*x - 8 for b. -5 Let x = 5 - 8. Suppose 5*l - 77 = -4*h, 3*h + 6*l - 3*l = 57. Let o be (57/(-126) - x/h)*-7. Solve -o = -5*v - 3*q - 3, 0 = -3*v - 3*q - 3 for v. 1 Suppose -z - 3*z = 148. Let u = 37 - z. Let o = u - 70. Solve o*t = 3*n - 17, 5*t - 13 = 5*n - 38 for t. -2 Suppose 36*u - 76 = 43 + 61. Solve -2*t + 6 = 0, 10*l - 12*l = -u*t + 13 for l. 1 Let q = 40 - 29. Let y(t) = -t**3 + 12*t**2 - 9*t + 15. Let s be y(q). Suppose 3*c - s + 7 = 0. Solve -2*v - 5*j = c, -v - 5*j - 9 - 1 = 0 for v. 0 Suppose 2588*n - 2628*n + 929 - 249 = 0. Solve 25 = 5*s, -3*x = 35*s - 36*s + n for x. -4 Suppose -97*t + 159 = -229. Solve 4*s - 10 = 2*g, 2*g + 2*g + t*s = 40 for g. 5 Let a be (-2 - (-6)/4)*(-18 - -4). Suppose 3*i + a = 16. Solve 5*n + 5*t + 7 = -38, 0 = i*n - 2*t + 2 for n. -4 Let r = -2 + 2. Let w = 41 + -23. Let i = -15 + w. Solve r = -v - 4*c - 9 - 13, 0 = -3*v - i*c - 21 for v. -2 Suppose 83*i - 20 = 78*i. Suppose -5*f + i*y = y + 544, 95 = -f - 4*y. Let t = -104 - f. Solve x = 3*h - 6, 5*h = 4*x - t*x + 12 for h. 3 Let i be (-1)/4 - (15345/60)/33 - -13. Solve 5*w + 10 = i*k, k - 13*w + 6 = -16*w for k. 0 Let w = -5100 + 5104. Solve w*k + 24 = -3*m, 13*m - 15*m - 14 = 2*k for k. -3 Suppose 17*k - 7*k - 40 = 0. Suppose j - 30 = -k*j. Suppose 8*d = j*d + 12. Solve -3*v - 2*f + 18 = 0, d*v = 4*v + 4*f - 4 for v. 4 Let y(o) = -o**2 - 13*o + 6. Suppose -t - 2*t - 39 = 0. Let f be y(t). Suppose 5*i - f = 4. Solve 0 = -x + i*m - 10, 0*x + 5*m - 25 = 4*x for x. 0 Let r be (8*1)/(1/(-11)). Suppose -53*w = 2333 - 7209. Let z = r + w. Solve g = -5*y - 23, 0*y - 25 = z*y + 3*g for y. -4 Let b(v) = 18*v - 162. Let l be b(32). Suppose 6*j = -l + 438. Solve j = 2*h - 3*h, x - 5*h = 17 for x. -3 Suppose 14*j - 5*l = 9*j + 55, 4*j - 48 = 2*l. Solve -y = 3, -2*b - j = y - 0 for b. -5 Let u(z) = z**3 + 7*z**2 - 5*z + 24. Let f be u(-8). Let r = -188 + 193. Solve -r*q + q + 5*c = -4, -2*c = f for q. 1 Let o be (-1 + 1)*7/(-35)*1. Solve o = -y + 5*t + 6, -y + 22*t - 24*t = 8 for y. -4 Let a be (-1 + (110/3)/(-22))/(2/(-6)). Solve -3 = -k + 3*q - a, -2*q = -5*k - 12 for k. -2 Suppose 8*x - 44 + 28 = 0. Suppose -6*a = x*a - 32. Solve 4*m + 7 + 5 = -4*n, -4*n = -4*m + a for m. -1 Let h be -2*(-6)/(-24)*(1 + -11). Let j be (-9 + 15)*h/10. Solve -2*b + 4*b - 1 = q, -3 = -j*b + 3*q for b. 0 Let u = -20 - -191. Solve -u = y - 5*j - 165, 0 = 2*j - 2 for y. -1 Suppose -481 = 19*b - 557. Solve b*l - 2*u + 30 = 0, 2*l + 6*u + 5 = 5*u for l. -5 Let i(y) = 24*y**2 + 9*y. Let c be i(-2). Suppose -o + 9 = 4*a - 21, -5*o - 2*a + c = 0. Solve 2*t = 4*w + o, 3*t - 5*t - 5*w = 31 for t. -3 Suppose 3*g = -12, 39 = 3*q + 4*g + 46. Solve 3*c = -q*i + 15, 2*c + 0*c = 10 for i. 0 Let t = 187 + -187. Suppose -x + 16*s - 13*s = 10, -2*x + 2*s - 4 = t. Solve -l = -2*n + 2, 0*n - l - x = -n for n. 0 Let j(f) = -4*f - 1. Suppose 0 = 4*t + 3*v + v - 528, 2*v = 8. Let g = -129 + t. Let q be j(g). Solve 3*i = -2*r + i, 0 = 3*r - q*i + 18 for r. -3 Let t be (1428/(-68))/(9/(-3)). Solve 3*h + 9 = -x, x = -142*h + 143*h + t for x. 3 Let b be 1 + (-1)/2*-310. Let i = b + -154. Suppose 4*c = 3*c + 1. Solve -2*k = 5*m - c, -i*m + 4 = -2*k - 2 for k. -2 Suppose -3*g = j - 12, -7*j + 9*j + 8 = 2*g. Suppose j = 12*k - 7*k - 10. Solve k*h = -4*c - 2 + 12, -2*h = -c - 10 for h. 5 Suppose 50*a - 189 = 61. Solve 6*l = a*n + 5*l - 16, 2*l = 2*n for n. 4 Suppose 2*h = 7*v - 5*v + 2, -v - 4 = -2*h. Suppose -22*z = -5*b - 17*z + 10, -3*b + v = -5*z. Solve 0 = b*m - 2*r - 1 + 7, -4*r = -20 for m. 1 Let q = -14 + 9. Let u = -5 - q. Let b(c) = c + 11. Let j be b(-7). Solve u = -3*t + t - j*i - 2, 2*i = 5*t - 31 for t. 5 Suppose 2*s - 4*w = 3*s - 153, -5*s + 747 = 2*w. Let o = s - 133. Suppose 0 = -2*n - 2*u + 4, 5*n - o - 30 = 4*u. Solve 5*y = a - 14, y = -2*y + 3*a - n for y. -3 Let i be 1/(-3) - 55/15. Let l be 0/i + 14 + -2. Suppose -3*b = h - l, 4*h = 4*b - 0*h - 32. Solve 0 = -2*u + 1 - 3, b*f = -5*u for f. 1 Let a be (-6)/(5/(-6)*45/(-25)). Let q(l) = 24*l + 97. Let o be q(a). Solve -v + 4*c - o = -26, -2*v + 15 = -c for v. 5 Let g(a) = a**2 - 17*a + 25. Let l(w) = 3*w - 3. Let v be l(6). Let r be g(v). Let o = 0 - r. Solve -3*y + 3*b - 5 = -2*y, -o*y = 5*b + 25 for y. -5 Let h be (-1 + -1 + 3)*345/115. Solve 28 = -5*l - t, -3*l + h*t - 6*t - 24 = 0 for l. -5 Let q = -3714 + 3716. Solve -l + q*n + 9 = 0, -5*l - 78*n = -73*n for l. 3 Let l = -193 - 31. Let u = 242 + l. Solve 0*v - v - 1 = -4*s, -3*s - 5*v = -u for s. 1 Let t = 11 + -8. Suppose 5*w - 2*q - 21 = 0, -t*q = -0 - 6. Suppose w*f = 23 + 17. Solve -f = -4*a + 2*c, -a + 19 = 2*a + 5*c for a. 3 Suppose -y + 79 = -4*t + 62, t = -y + 2. Suppose d + 33 = j - 2*j, -5*j - 192 = -4*d. Let v = -24 - j. Solve y*z = -2 + v, 3*u - 11 = -4*z for u. 1 Let v be -1*6*3/(-81)*(-5850)/(-130). Solve -f + 2 = -5*a - v, -4*a = -f + 9 for f. -3 Let o = -52 - -56. Suppose -3*u + 13 = -y, -o*u - 4*y = -6*u + 12. Solve 0 = 5*g - 2*g + d + 8, -4*d = u*g + 24 for g. -1 Suppose 1022 = -4*x + 5*t, 2*t = x + 3*t + 251. Let k = -253 - x. Solve i + 4*n - 4 = 6*i, k = 5*i + n - 1 for i. 0 Let d(j) = -j**3 + 3*j**2 - 6*j - 16. Let s be d(-7). Suppose -5*k - s = -41. Let h = k + 117. Solve -5*w + w - h = -3*l, 0 = w + 4 for l. 2 Let i = -13518 + 13521. Solve -f + 5 = 0, 4*f + 14 = i*k + 43 for k. -3 Let f be 83*(55/(-5) - 4*-1). Let a = f + 599. Solve 3*r + a = -z + 6*r, -30 = 5*z - 3*r for z. -3 Suppose -30 + 129 = 33*s. Solve -4*d + 3*p = -9, 3*d - 3 = d + s*p for d. 3 Let h = 4671 - 4669. Solve -l + 4 = -4*p - 3, -14 = h*p - 4*l for p. -1 Suppose -55 + 387 = 166*j. Solve 19 = -j*u - 3*f, -31*f + 35*f + 32 = -4*u for u. -5 Suppose 2
{ "pile_set_name": "DM Mathematics" }
t(900) + ((sqrt(900) - sqrt(900)*-1) + sqrt(900))*1 + sqrt(900)))**2. -4*sqrt(17)/5 + 117/25 Simplify (-6*3*(2 + (1*sqrt(2736) + -1 - (sqrt(2736) - (sqrt(2736) + (sqrt(2736)*-1*-6 - sqrt(2736)) + sqrt(2736)))) + -1)*-4)**2. 694987776 Simplify (-5*sqrt(98)*5)**2*-5 + (sqrt(4)/(6*sqrt(2)) - (sqrt(98) + 1)). -306251 - 41*sqrt(2)/6 Simplify 0 + ((sqrt(2299)*1 - sqrt(2299)) + 0 + -2 + sqrt(152)/sqrt(2) + (sqrt(19) - sqrt(76))*4)**2. 8*sqrt(19) + 80 Simplify ((((sqrt(1900) + sqrt(1900)*-1)*5 - (-1 + sqrt(1900) + 1))*4)**2 + -3 + 3)*-6. -182400 Simplify (sqrt(550)/(sqrt(20)/sqrt(2)))/((-1*sqrt(60))/sqrt(12))*-4 - (-3*sqrt(99)*6 - (sqrt(99) + -1*(sqrt(99) - (sqrt(99)*-1 + sqrt(99))))/sqrt(9)). 58*sqrt(11) Simplify (2*-2*sqrt(931))**2 + 4 + 4 + (-3 + (sqrt(931) - (-1 + sqrt(931))) - (sqrt(931) + -2)**2*5). 140*sqrt(19) + 10227 Simplify -3 + (4 + 1*-2*sqrt(19) + sqrt(2299) + sqrt(2299)*1 - -4*(sqrt(171)*1*5)**2). 20*sqrt(19) + 17101 Simplify (-3*(-3 + (sqrt(252) - (sqrt(252) + -1)*-2)) + (-4 + sqrt(252) + sqrt(252)*3 - (sqrt(252) + (sqrt(252) - (sqrt(252) + 2)) + -4)))**2. -1224*sqrt(7) + 9361 Simplify -1*(-4*(-1 + (sqrt(208) - ((sqrt(208) - (sqrt(208) + -3) - sqrt(208)) + -3))))**2*-4. -1024*sqrt(13) + 53312 Simplify 2 + (((-5 + 4 + sqrt(180) - sqrt(180)) + 3)*-4)**2. 66 Simplify ((sqrt(14) - sqrt(224))*5)/((sqrt(63) + sqrt(7))*1 - sqrt(7)) - (3 + sqrt(2)*-2*6)*6. -18 + 67*sqrt(2) Simplify 4*(3*(3 + 5 + sqrt(2) + 1))**2 - ((sqrt(72)*2*-5)**2 - (1*(1 + sqrt(2)) + sqrt(2) + 6*sqrt(2)*-2)**2). -4011 + 628*sqrt(2) Simplify (0 + (((sqrt(245) - -6*(sqrt(245) + 2) - sqrt(245) - sqrt(245)) + (sqrt(245) + 2)*3)**2 - 6*(sqrt(245) - -2*sqrt(245))**2*6))*5. -316880 + 10080*sqrt(5) Simplify (sqrt(114)/(sqrt(6) + sqrt(66)/(sqrt(22)/sqrt(2))) + 5 - (1 + -1*sqrt(2299) + sqrt(2299))*5)**2*-5. -95/4 Simplify ((sqrt(78)*-6 - sqrt(78))*-2 + sqrt(78) - -1*sqrt(78)*6)/((sqrt(30) + sqrt(360)/sqrt(12))/sqrt(5) - sqrt(48)/(-2*sqrt(8))). 42*sqrt(13)/5 Simplify (sqrt(275)/sqrt(5)*-5 + 3*sqrt(2695))/(-4*sqrt(176)*-2*-1). -sqrt(5)/2 Simplify 5 + (-2*(-1*sqrt(200)*-2 + sqrt(200)))/(-5*sqrt(36)*-5). -2*sqrt(2)/5 + 5 Simplify 1 + ((3 + 4*sqrt(363)*-1)**2 + -4 + (sqrt(363) - (sqrt(363) + sqrt(363) + (0 + sqrt(363))*-5)))*-4 + -3. -23254 + 880*sqrt(3) Simplify (sqrt(175) + sqrt(175) + 3*sqrt(175)*3)**2 + ((2*(sqrt(175) + sqrt(175)*2))**2 - sqrt(175)) - (0 + sqrt(7)*1 - (sqrt(35)*-1 - sqrt(35))/sqrt(5))**2*-2. -5*sqrt(7) + 27601 Simplify 2*(-2 + (sqrt(112)*-1*1 + (sqrt(112) + -1)*-6)*-4 + 3). -46 + 224*sqrt(7) Simplify (1 + (sqrt(80)/(sqrt(48)/sqrt(6)))/((sqrt(2) - (sqrt(2) - sqrt(14)/(5*sqrt(7)))) + sqrt(2)) + -4)**2. -5*sqrt(5) + 449/36 Simplify (sqrt(60)/sqrt(3)*-5)/(sqrt(36) + sqrt(1296)) + 1*-1*(-2*sqrt(900))/sqrt(5). 247*sqrt(5)/21 Simplify (sqrt(105)/(sqrt(405)*-2) + 1*-4*1*sqrt(21))/((sqrt(216)/sqrt(2) + (sqrt(1188)/sqrt(11) - sqrt(3)))*1). -73*sqrt(7)/198 Simplify (sqrt(16) - (sqrt(16) - (sqrt(16) + 4*sqrt(576) - sqrt(16))) - sqrt(128)/(sqrt(8)*-1))/((5*sqrt(64)*1 - sqrt(64) - sqrt(64))/(sqrt(8)*-2*6)). -100*sqrt(2) Simplify (((sqrt(68) - (sqrt(68) - 2*sqrt(68))*1) + -1*sqrt(68)*-2)*3)/((sqrt(448) + -2*sqrt(448))/((sqrt(7) - (sqrt(7) - 5*sqrt(21)/sqrt(3))) + sqrt(7))). -18*sqrt(17) Simplify -2 + (-4*(3 + sqrt(99)*-3)*2 + (sqrt(99) + 1*sqrt(99) + -4 + 5)*-6)**2. -2160*sqrt(11) + 15154 Simplify -1*((-5*sqrt(384) - sqrt(24) - sqrt(24))/((sqrt(132)*1)/sqrt(11)) - -2*(sqrt(6) - sqrt(24)/sqrt(4))/sqrt(3)*2)*-5. -110*sqrt(2) Simplify (sqrt(70)*4*-2 - 6*(sqrt(70)*-3 - sqrt(70)))/(-3*sqrt(20)/sqrt(8)*6) + 0. -16*sqrt(7)/9 Simplify (sqrt(44)/(-4*sqrt(50)))/(sqrt(24)/(sqrt(12)*3*-2))*-3. -9*sqrt(11)/10 Simplify 5*(sqrt(1377) + (sqrt(1377) + 0 + sqrt(1377) + sqrt(1377) + -2)**2 + -3 - (-5 + (sqrt(1377) + sqrt(1377)*-3)*-1)**2). 405*sqrt(17) + 34305 Simplify (3 + (sqrt(12)/sqrt(2)*-2)/(sqrt(14)/(sqrt(14)/sqrt(2))))**2 - (2 + -4*-1*4*(2*sqrt(3))**2). -173 - 12*sqrt(3) Simplify ((2*sqrt(357)/(sqrt(7) - -6*sqrt(28)))/((sqrt(24) - sqrt(72)/sqrt(3)*-4)/(sqrt(432)/sqrt(6))))**2. 612/4225 Simplify (-2*-2*sqrt(1088) + 5)**2 + 1*(sqrt(17) + sqrt(17) + sqrt(153) + 2)**2*-3 + -2. 260*sqrt(17) + 16144 Simplify ((-2*(1*sqrt(810) - sqrt(810)))/((sqrt(40) - (sqrt(240)/(1*sqrt(6)) + sqrt(40)))/sqrt(8)) + -1)*-5. 5 Simplify ((sqrt(3) + -4)*-5 + -3 + (5*-2*sqrt(9))/sqrt(3))*-2. -34 + 30*sqrt(3) Simplify (-5 + (-1*sqrt(1200) + 3)**2 - (2 + sqrt(1200) + -1)*5) + 1. -220*sqrt(3) + 1200 Simplify ((sqrt(170)/sqrt(250) + sqrt(17) + (sqrt(17) + -2*sqrt(17))*-3 + 2)**2 - (sqrt(17) - (-6*sqrt(1377) + sqrt(17)) - (sqrt(17) + -4)*6)) + 1. -156*sqrt(17)/5 + 7022/25 Simplify (-3 + sqrt(2057) + sqrt(2057)*3 + -1 - -4*(5 + (sqrt(612) - -4*sqrt(612))))**2. 5248*sqrt(17) + 457488 Simplify (-2 + -3*(sqrt(3888) + (sqrt(3888) - (sqrt(3888) + 2)*2) + -4)*-4 + -3)**2. 10201 Simplify (2 + (2 + sqrt(684))**2 + 4 - (sqrt(684) + (2 + sqrt(684) + -1 + sqrt(684))**2 + -4))*-4. 24*sqrt(19) + 8156 Simplify ((sqrt(504) - (sqrt(504) - sqrt(504)*2) - sqrt(504))/sqrt(12))/((sqrt(6) - sqrt(54))*2) - ((2 + sqrt(7) + 2 - sqrt(77)/sqrt(275)) + -4)**2. -112/25 - sqrt(7)/4 Simplify (((2*sqrt(176)*-6)/sqrt(4) + -5*sqrt(220)/(sqrt(10)/sqrt(2)))*-6)**2. 457776 Simplify -6*(-3*(((sqrt(2448) + 0)*4 - (sqrt(2448) + 1*-2*sqrt(2448))) + 5)*-4)**2. -52898400 - 518400*sqrt(17) Simplify 4 + 6*(1*sqrt(1872)*5)**2*-4*-5. 5616004 Simplify ((4*sqrt(500)*6)**2 - -5*(sqrt(500) + -3)**2)*2 + -3. -600*sqrt(5) + 581087 Simplify -5*3*(5 + (sqrt(99) + (sqrt(99) - sqrt(99)*1) + sqrt(99))*-2*3 + 0). -75 + 540*sqrt(11) Simplify (-5 + (4*3*sqrt(224) + (sqrt(224) + 1*sqrt(224)*-5 + sqrt(224) - sqrt(224)))/(((sqrt(63)*2)/sqrt(3))/((sqrt(24) - sqrt(384))/sqrt(8))))**2. 480*sqrt(2) + 4633 Simplify (3 + 4*-5*(sqrt(5) - (sqrt(5) + -3)))**2 - (sqrt(40)/(sqrt(8)*-1) - (sqrt(5) + (-2*sqrt(5) + sqrt(5))*3))**2. 3244 Simplify ((sqrt(225)*5)/sqrt(5) - (sqrt(405) - sqrt(405)*-2))/((sqrt(27) - sqrt(108)/sqrt(4)*-3)/(2*sqrt(3)*-1)). 2*sqrt(5) Simplify ((-3*(sqrt(1100) - (5 + -1*sqrt(1100) + sqrt(1100))))**2 - (2 + (sqrt(891) - (1 + 1 + sqrt(891) - sqrt(891))**2))) + -1. -909*sqrt(11) + 10126 Simplify (-3*sqrt(190)*-1*2)/(sqrt(120)/(2*sqrt(108))) + -2. -2 + 36*sqrt(19) Simplify (((sqrt(720) - (4 + sqrt(720) + -1)) + sqrt(720) + sqrt(720) + (sqrt(720)*-1*-6 - sqrt(720) - sqrt(720)) + sqrt(720) + 2 + 1*sqrt(720) + 1 + -4)*2)**2. -3072*sqrt(5) + 184384 Simplify (((sqrt(168) + -5*sqrt(168))*-1)/sqrt(3))/(4*(sqrt(16) - (sqrt(16) - -2*sqrt(16)))/sqrt(2)). -sqrt(7)/2 Simplify (((-2*sqrt(270))/sqrt(9))/((sqrt(288) - sqrt(288)*1) + sqrt(2)))/(2*-5*-2*sqrt(27)). -sqrt(5)/30 Simplify ((-6*sqrt(66)*2)/(sqrt(300)*-2))/((sqrt(66)/sqrt(6) - sqrt(11))*5 - sqrt(11) - sqrt(176)*-5). 3*sqrt(2)/95 Simplify ((-4*sqrt(135)*6*6)/(-6*((sqrt(45)*-1 - sqrt(5)) + sqrt(5) + 2*sqrt(180))))**2. 192 Simplify ((-5 + 2*sqrt(153) + sqrt(153) + 3)**2 + ((sqrt(153) - sqrt(153)*2)*3 - (sqrt(153)*2)**2*-5))*-2*1. -8882 + 90*sqrt(17) Simplify (-1*((sqrt(720) - (sqrt(720) + -2*sqrt(720))) + sqrt(720))*2)/((sqrt(216)/(sqrt(6)*-2) + sqrt(36) + sqrt(36))/(sqrt(108)/sqrt(3)))*3. -144*sqrt(5) Simplify 0 + -5 + (-1*sqrt(475))**2 + -1 + ((3*sqrt(76))**2 - sqrt(228)/(sqrt(12) + sqrt(48)/sqrt(4))). -sqrt(19)/2 + 1153 Simplify -2*(-1*sqrt(135)/sqrt(5) + sqrt(27) + sqrt(297)/(-2*sqrt(11)))/((-2*sqrt(1296) + sqrt(1296) + sqrt(1296) + sqrt(9) + (-2*sqrt(27))/sqrt(3))*-3). sqrt(3)/3 Simplify ((sqrt(55) + (sqrt(605)*1)/sqrt(11))*4*3)/((sqrt(88) - (sqrt(88) + sqrt(88)*-1*-4))/(-1*sqrt(128))). 24*sqrt(5) Simplify 6*(0 + 0 + (sqrt(2)*-1)**2 + sqrt(2)) + (-3 + -6*(sqrt(200) + -1))**2 + -1. -354*sqrt(2) + 7220 Simplify ((sqrt(833) + -1 - sqrt(204)/(sqrt(36)/sqrt(3))) + 1)**2 - (-1 + (3 + sqrt(17) - sqrt(17))**2 - (sqrt(17) + (sqrt(17) + 1)**2)*1). 3*sqrt(17) + 622 Simplify -1 + ((sqrt(66) + 2*sqrt(66)*5 + sqrt(66))/(sqrt(98) + sqrt(98) + sqrt(98) + 1*sqrt(98) + sqrt(98)))/(-1*sqrt(15)/sqrt(5) + (sqrt(3) + sqrt(27))*1). -1 + 4*sqrt(11)/35 Simplify ((-5*sqrt(190))/sqrt(5) + (sqrt(342) - (sqrt(342) + 4*sqrt(342))))/(1*(-1*sqrt(200) + sqrt(200)) - (-1*sqrt(200)*3 + sqrt(200) - sqrt(200))). -17*sqrt(19)/30 Simplify (((-3*sqrt(315) + sqrt(315) - sqrt(315) - sqrt(315))/sqrt(7))/sqrt(3)*5)/((sqrt(12)/sqrt(64) - (sqrt(21)*1)/sqrt(7))*5). 16*sqrt(5)/3
{ "pile_set_name": "DM Mathematics" }
)**2/3 Let -4*x**5/5 - 1588*x**4/5 - 14076*x**3/5 - 42012*x**2/5 - 41904*x/5 = 0. What is x? -388, -3, 0 Factor -4*x**3 + 1576*x**2 - 203376*x + 8629344. -4*(x - 166)*(x - 114)**2 Find m such that 2*m**3/3 - 553928*m**2 - 1107858*m - 1661788/3 = 0. -1, 830894 Suppose 2*n**3/3 + 102430*n**2 + 3934413122*n - 11803546658/3 = 0. What is n? -76823, 1 Factor -2*o**4 - 496*o**3 - 38016*o**2 - 619520*o + 21807104. -2*(o - 16)*(o + 88)**3 Solve 4*r**4/3 + 36*r**3 + 700*r**2/3 - 36*r - 704/3 = 0. -16, -11, -1, 1 Determine h, given that -5*h**4 - 185*h**3 - 270*h**2 + 2960*h + 5600 = 0. -35, -4, -2, 4 Suppose 2*w**4/7 - 22*w**3 + 3954*w**2/7 - 35902*w/7 + 57188/7 = 0. What is w? 2, 17, 29 Factor 2*n**3 - 1082*n**2 - 634370*n + 635450. 2*(n - 895)*(n - 1)*(n + 355) Determine b so that 6*b**2/5 + 16*b + 256/5 = 0. -8, -16/3 Factor 3*l**5 - 5163*l**4 + 2965230*l**3 - 570230118*l**2 + 1084470687*l + 8465963265. 3*(l - 573)**3*(l - 5)*(l + 3) Factor 2*i**2 + 966340*i + 116726624450. 2*(i + 241585)**2 Factor -2457*v**3 + 909087*v**2 - 84089715*v - 102675. -3*(v - 185)**2*(819*v + 1) Factor 44*i**3 + 556*i**2 + 1792*i + 1280. 4*(i + 1)*(i + 8)*(11*i + 40) Let f**4/2 - 7925*f**3/2 + 102687*f**2 = 0. What is f? 0, 26, 7899 Factor -4*o**2 + 2496*o - 31772. -4*(o - 611)*(o - 13) What is n in 8*n**4 + 772*n**3 - 6152*n**2 + 9212*n + 6240 = 0? -104, -1/2, 3, 5 Determine g, given that -3*g**3 + 178398*g**2 + 3*g - 178398 = 0. -1, 1, 59466 Let j**3/5 + 3575*j**2 + 79887843*j/5 + 79869969/5 = 0. Calculate j. -8937, -1 Let -13*t**4/5 + 76*t**3/5 + 103*t**2/5 + 14*t/5 = 0. Calculate t. -1, -2/13, 0, 7 Factor 3*i**3 + 11001*i**2. 3*i**2*(i + 3667) Factor b**2 + 172896*b - 345796. (b - 2)*(b + 172898) What is p in 3*p**3/5 - 1629*p**2/5 - 5328*p - 107328/5 = 0? -8, 559 Solve -133*p**4 + 30455*p**3 - 59525*p**2 - 91475*p - 1362 = 0. -1, -2/133, 3, 227 Suppose 1340*h**3 + 1408*h**2 + 28*h - 40 = 0. What is h? -1, -1/5, 10/67 Let -b**2/3 + 1634*b/3 - 1088 = 0. What is b? 2, 1632 Suppose 3*a**3/2 + 28029*a**2 - 3*a/2 - 28029 = 0. What is a? -18686, -1, 1 Determine l so that 5*l**5 + 65*l**4 + 155*l**3 - 225*l**2 = 0. -9, -5, 0, 1 Factor 2*m**2 - 2248*m + 139656. 2*(m - 1058)*(m - 66) Factor o**3/7 + 643*o**2/7 + 1922*o/7 + 1280/7. (o + 1)*(o + 2)*(o + 640)/7 Suppose -75*t**5 + 846*t**4 + 4023*t**3 + 2730*t**2 - 4284*t - 3240 = 0. Calculate t. -2, -18/25, 1, 15 Let -55*x**4 + 7998*x**3 + 250628*x**2 + 143688*x + 17888 = 0. What is x? -26, -2/5, -2/11, 172 Let -5*a**3 - 477175*a**2 - 11384083235*a + 34156544415 = 0. What is a? -47719, 3 Factor 3*b**4 - 834*b**3 + 3303*b**2 - 4116*b + 1644. 3*(b - 274)*(b - 2)*(b - 1)**2 Factor -p**2/3 - 1508*p/3 - 2505. -(p + 5)*(p + 1503)/3 What is z in 2*z**5 - 92*z**4 - 54*z**3 + 2584*z**2 - 4648*z + 2208 = 0? -6, 1, 4, 46 What is g in -g**4/4 + 701*g**3 - 5605*g**2/4 + 1401*g/2 = 0? 0, 1, 2802 What is o in 65*o**4/2 + 2467*o**3/2 + 2283*o**2 - 108*o = 0? -36, -2, 0, 3/65 Determine o so that -3*o**2 - 2085*o - 6228 = 0. -692, -3 Find t such that -2*t**5/11 + 12*t**4/11 + 234*t**3/11 - 532*t**2/11 - 1872*t/11 = 0. -9, -2, 0, 4, 13 Let 136107*m**5/2 + 2856969*m**4/2 + 16306005*m**3/2 + 13457403*m**2/2 - 63720*m + 150 = 0. Calculate m. -10, -1, 1/213 Factor -r**3/4 + 53*r**2/4 - 317*r/2 - 372. -(r - 31)*(r - 24)*(r + 2)/4 Find d such that -30*d**3 + 10916*d**2 - 20282*d + 3620 = 0. 1/5, 5/3, 362 Determine n so that 32*n**3 + 396*n**2 - 260*n = 0. -13, 0, 5/8 Find u such that 2*u**2 + 1740*u + 27328 = 0. -854, -16 Solve -3*a**2 + 520182*a - 22549109427 = 0 for a. 86697 Suppose -r**3/2 - 133*r**2/2 + 2985*r/2 - 11475/2 = 0. Calculate r. -153, 5, 15 Factor 3*i**2 - 11547*i + 138132. 3*(i - 3837)*(i - 12) Find x, given that -2*x**4/15 - 358*x**3/5 - 126032*x**2/15 + 1679008*x/5 + 5161984/15 = 0. -284, -1, 32 Let 27*n**3 - 266697*n**2 - 355632*n - 118548 = 0. What is n? -2/3, 9879 Factor -15*s**2 - 490*s + 2405. -5*(s + 37)*(3*s - 13) Determine p, given that 3*p**3/7 + 6306*p**2 + 23196621*p = 0. -7357, 0 Suppose 2*w**5 - 618*w**4 - 6994*w**3 - 14742*w**2 + 6992*w + 15360 = 0. What is w? -8, -3, -1, 1, 320 What is h in -2*h**2/15 + 186296*h/3 - 21691374760/3 = 0? 232870 Solve -3*u**5 + 132*u**4 + 300*u**3 - 1104*u**2 = 0. -4, 0, 2, 46 Factor -153*a**2 + 300030*a + 5883. -3*(a - 1961)*(51*a + 1) Factor f**2/2 + 3035*f/2 - 6078. (f - 4)*(f + 3039)/2 Factor -g**2/4 - 65*g/4 + 333/2. -(g - 9)*(g + 74)/4 Determine l, given that l**4/3 - l**3/3 - 76*l**2 + 676*l/3 - 448/3 = 0. -16, 1, 2, 14 Let 2*l**5 + 846*l**4 + 19976*l**3 + 27048*l**2 - 1270528*l + 1222656 = 0. What is l? -398, -16, 1, 6 Suppose -2*y**4/7 + 212*y**3/7 - 414*y**2/7 - 212*y/7 + 416/7 = 0. Calculate y. -1, 1, 2, 104 Find h such that h**3/3 + 57634*h**2/3 + 830649977*h/3 + 6641511752/3 = 0. -28813, -8 Factor -5*j**3 - 9385*j**2 - 84100*j - 74720. -5*(j + 1)*(j + 8)*(j + 1868) Let -2*n**5/3 - 22204*n**4/15 - 117358*n**3 + 2869024*n**2/15 - 368072*n/15 - 239456/5 = 0. Calculate n. -2138, -84, -2/5, 1 Determine z, given that 45*z**5 - 14590*z**4 + 1253250*z**3 - 11214400*z**2 - 9770895*z + 2711390 = 0. -1, 2/9, 11, 157 Find i such that -2*i**4 - 16*i**3 + 46*i**2 + 60*i = 0. -10, -1, 0, 3 Factor 1575*l**3 - 1005*l**2 - 110*l. 5*l*(15*l - 11)*(21*l + 2) Suppose 65*l**4/4 - 412285*l**3/4 + 326763585*l**2/2 + 188638840*l + 25153960 = 0. What is l? -1, -2/13, 3172 Find p, given that -2*p**3 + 11492*p**2 - 16565568*p + 164508480 = 0. 10, 2868 Factor 5*x**3 - 80500*x**2 + 241455*x. 5*x*(x - 16097)*(x - 3) Suppose m**5/3 - 70*m**4/3 + 187*m**3 + 2772*m**2 - 9396*m = 0. Calculate m. -9, 0, 3, 18, 58 Determine y, given that -4*y**5 + 112*y**4 - 656*y**3 - 1912*y**2 + 660*y + 1800 = 0. -2, -1, 1, 15 Solve -5*c**3 + 415415*c**2 + 830845*c + 415425 = 0. -1, 83085 Factor -t**3 + 5892*t**2 - 8667120*t - 34762816. -(t - 2948)**2*(t + 4) Solve -2*u**4/19 + 44*u**3/19 + 650*u**2/19 - 2612*u/19 - 7440/19 = 0. -12, -2, 5, 31 Suppose 2*d**4/15 - 26*d**3/5 + 644*d**2/15 - 128*d + 1856/15 = 0. What is d? 2, 4, 29 Find h such that 376204816*h**2/5 - 77584*h/5 + 4/5 = 0. 1/9698 Solve -6*q**2/11 + 29466*q/11 - 117768/11 = 0 for q. 4, 4907 Find o, given that -o**4/8 - o**3/2 + 24*o**2 + 130*o - 350 = 0. -10, 2, 14 Suppose 2*y**2/17 - 2879448*y/17 + 1036402598088/17 = 0. Calculate y. 719862 Factor 2*m**4 + 448*m**3 + 2634*m**2 + 3932*m + 1744. 2*(m + 1)**2*(m + 4)*(m + 218) Factor -4*y**5/9 - 932*y**4/9 + 13832*y**3/9. -4*y**3*(y - 14)*(y + 247)/9 Determine w, given that -4*w**4 - 248*w**3 + 2276*w**2 + 2520*w = 0. -70, -1, 0, 9 Factor -2*q**2 + 14730*q - 29452. -2*(q - 7363)*(q - 2) Factor -4*q**2 + 1188*q + 115192. -4*(q - 374)*(q + 77) Factor 6*s**2 + 2091*s - 5265. 3*(s + 351)*(2*s - 5) Let 5*m**4 - 8975*m**3 + 5956230*m**2 - 1724967380*m + 182801181560 = 0. Calculate m. 289, 502 Factor 16*i**2 + 2868*i. 4*i*(4*i + 717) Solve s**4/3 + 63511*s**3/3 = 0. -63511, 0 Suppose -4*p**4/3 + 2524*p**3/3 - 396872*p**2/3 - 414592*p/3 + 798848 = 0. What is p? -3, 2, 316 Suppose 4*a**3 - 29176*a**2 - 233600*a - 467328 = 0. Calculate a. -4, 7302 Factor 4*g**2 - 247240*g + 3820476100. 4*(g - 30905)**2 Solve -3*q**5/4 + 5697*q**4/4 - 11349*q**3/4 - 62637*q**2/4 + 17046*q + 51219 = 0. -2, 3, 1897 Let t**3/9 - 277*t**2/9 + 15562*t/9 + 1760 = 0. Calculate t. -1, 80, 198 What is q in 8450*q**5 - 498290*q**4 - 1071588*q**3 + 1513732*q**2 + 47330*q + 366 = 0? -3, -1/65, 1, 61 Find r, given that 3*r**5 + 492*r**4 + 19671*r**3 - 41334*r**2 = 0. -83, 0, 2 Factor h**3/3 - 2766*h**2 - 27685*h - 207700/3. (h - 8308)*(h + 5)**2/3 Factor w**2/7 - 1257*w/7 - 13948/7. (w - 1268)*(w + 11)/7 Factor 3*h**2 - 108750*h. 3*h*(h - 36250) Factor 4*z**2 - 71768*z. 4*z*(z - 17942) Solve -2*a**4/9 - 388*a**3/9 - 2474*a**2/3 + 25012*a/9 - 17200/9 = 0. -172, -25, 1, 2 Determine r so that 2*r**5 - 22*r**4 - 46*r**3 + 1334*r**2 - 5140*r + 5600 = 0. -8, 2, 5, 7 Factor 3*p**5 - 18*p**4 - 18*p**3 + 84*p**2 + 135*p + 54. 3*(p - 6)*(p - 3)*(p + 1)**3 Determine m so that -3*m**3/7 - 166296*m**2/7 - 2303032575*m/7 + 41508483750/7 = 0. -27725, 18 Factor -2*o**3 + 112736*o**2 + 450970*o + 338232. -2*(o - 56372)*(o + 1)*(o + 3) Find g such that g**3/6 - 116*g**2/3 + 15965*g/6 - 137917/3 = 0. 26, 103 Suppose 2*k**5/5 - 1494*k**4/5 - 6*k**3/5 + 4486*k**2/5 - 2988*k/5 = 0
{ "pile_set_name": "DM Mathematics" }
*d + 8. Let b(w) = -w + 2. Let l(f) = -3*f + 5. What is h*l(c) + s*b(c)? c Let k(m) = -12*m + 7. Let c(n) = -8*n + 5. Calculate 8*c(t) - 5*k(t). -4*t + 5 Let j(b) = -b - 2. Let s = 73 + -72. Let x(h) = 1. Give s*j(k) + 3*x(k). -k + 1 Let f(q) = -15*q**2 - 3*q - 3. Let y(u) = -u - 1. Determine 5*f(v) - 15*y(v). -75*v**2 Let k(a) = 5 - 6*a - 2 + 3 - a**2. Let v(o) = o - 1. Suppose -4*g + 2*g + 3*c + 14 = 0, 35 = 5*g - 5*c. Suppose g*u - 2*u + 30 = 0. What is u*v(p) - k(p)? p**2 Let d(q) = -136*q**2 + 11. Let h(u) = 27*u**2 - 2. Give 2*d(g) + 11*h(g). 25*g**2 Let i(g) = 9*g**3 - 5*g**2 + 5*g - 5. Let j(c) be the third derivative of c**6/120 - c**5/60 + c**4/24 - c**3/6 + 6*c**2. Determine i(o) - 5*j(o). 4*o**3 Let y(q) = -q**3 + q**2 - q - 1. Let r(c) = -14*c**3 - c**2 + c + 3. Give -r(x) - y(x). 15*x**3 - 2 Let p(y) be the first derivative of y**4/2 - 2*y**3/3 + y**2/2 + 2*y - 75. Let g = 4 - 15. Let z(w) = -10*w**3 + 10*w**2 - 6*w - 11. Give g*p(o) - 2*z(o). -2*o**3 + 2*o**2 + o Let x(z) = 2*z**2 + 19 + z**3 + 16 - 6*z - 7*z**2 - 37. Let p(c) = -c**2 - c. Give 6*p(g) - x(g). -g**3 - g**2 + 2 Let b be 1/(2/12) + 0. Let j(f) = f - 1. Let t(w) = -w**3 - 3 - 6388*w**2 + 6388*w**2 + 3*w. Determine b*j(z) - 2*t(z). 2*z**3 Let o(l) = -3*l - 6. Let f(b) = -5*b - 13. What is -4*f(i) + 9*o(i)? -7*i - 2 Let f(c) = -c**3 + 2*c**2 + 4*c + 3. Suppose -3*g + 15 = -8*g. Let o(z) = -z**3 + 288*z**2 + 4*z - z + 2 - 287*z**2. Calculate g*o(k) + 2*f(k). k**3 + k**2 - k Let x(s) = 5*s - 2. Suppose 2*r = t - 3, -4*r + 25 = 4*t + r. Let q(w) = 3 - 9*w + w - 2*w + w. Give t*x(p) + 3*q(p). -2*p - 1 Let d(z) be the third derivative of z**5/30 + z**3/6 + 2*z**2. Let j(s) = -8*s**2 - 4. Give 9*d(h) + 2*j(h). 2*h**2 + 1 Let d be -1 + 3 + 8/4. Let k(g) = 4*g**3 + 5*g**2. Let m(z) = -3*z**3 - 4*z**2. Give d*k(p) + 5*m(p). p**3 Let b(x) = -x + 1. Let j be (-2 - (2 + -2))*(-2)/(-4). Let u(z) = -8*z + 5. Calculate j*u(y) + 6*b(y). 2*y + 1 Let x(o) = o + 4*o**2 + 11 + o**2 - 3 + 4*o. Let p(v) = v**2 - 3*v + 6. Let w(g) = -3*g**2 + 8*g - 17. Let n(t) = -11*p(t) - 4*w(t). What is 9*n(a) - 2*x(a)? -a**2 - a + 2 Let l(m) = m**2 - 4 - 3 + 1. Let x(g) be the first derivative of g**3/3 - 7*g + 6. Give 7*l(i) - 6*x(i). i**2 Let a(m) = -3*m**3 - 2*m - 11. Let q(t) = -7*t**3 - 5*t - 23. What is 9*a(d) - 4*q(d)? d**3 + 2*d - 7 Let v(o) be the third derivative of o**4/8 - 5*o**3/6 - 2*o**2. Let p(q) = 21 + 2*q - 3*q - 6*q - 5*q. What is -5*p(z) - 21*v(z)? -3*z Let u(r) = -3*r**2 + 13*r - 11. Let o(m) = -m**2 + 7*m - 6. Give 11*o(p) - 6*u(p). 7*p**2 - p Let z(y) = -10*y + 3. Let v(g) = -30*g + 8. What is 4*v(c) - 11*z(c)? -10*c - 1 Let s(f) = -2*f**2 - 5*f + 3. Let x(o) = -6*o**2 - 14*o + 9. What is -8*s(i) + 3*x(i)? -2*i**2 - 2*i + 3 Let z(p) = -p**3. Let u(f) = 189*f**3. Calculate -u(v) - 162*z(v). -27*v**3 Let l be 1*-2*(-15)/6. Let m = -10 + l. Let o(w) = -w**2 + 3*w + 1. Let f(t) = -2*t**2 + 5*t + 2. Calculate m*f(g) + 8*o(g). 2*g**2 - g - 2 Let l(w) = w**2 + w. Let g(r) = 15*r**3 + 15*r**2 + 15*r. Determine -g(j) + 15*l(j). -15*j**3 Let w(h) = -11*h - 2*h**2 + 9*h - 2 + 23*h**3 - 17*h**3. Let x(s) = 31*s**3 - 11*s**2 - 11*s - 11. Give -11*w(l) + 2*x(l). -4*l**3 Let o(u) = 2*u + 2. Let d(h) = -2*h - 2. Suppose 2*k = -5*l + 2 + 8, -5*l + k = -10. Calculate l*d(s) + 3*o(s). 2*s + 2 Let q(z) be the first derivative of -z - 1. Let t(n) = -n - 3. Suppose -1 = -2*u + u. Suppose 3*l = -14 + 5. What is l*q(k) + u*t(k)? -k Let k(i) = -5*i - 6. Let s(c) = c - 3 + 3 - 1. Let d(z) = 13. Let r(h) = -d(h) - 6*s(h). What is -5*k(j) + 4*r(j)? j + 2 Let h(x) be the second derivative of -19*x**4/12 - 11*x**2/2 + 18*x. Let k(z) = 5*z**2 + 3. What is -6*h(j) - 22*k(j)? 4*j**2 Let v(z) = 1. Let w(m) = -69 - 2*m + 69. Calculate v(c) + w(c). -2*c + 1 Suppose -a + 0*a = -4*i + 3, a + 9 = i. Let k(v) = v**3 + 10*v**2 - 10*v + 7. Let h be k(a). Let g(n) = -3*n. Let r(d) = 3*d. What is h*r(f) - 5*g(f)? 3*f Let j(h) = h - 4. Let o(p) = p - 4. Give -4*j(f) + 5*o(f). f - 4 Let t(j) = -3*j**2 - 1. Let k(y) = -2*y**2 - 1. Determine -5*k(x) + 3*t(x). x**2 + 2 Let f = 6 + -3. Let x(p) = -f*p + p - 3*p + 3 + 0*p. Let n(t) = -9*t + 5. Give 3*n(q) - 5*x(q). -2*q Let p(y) = -2*y + 4. Let k(l) = -2*l + 3. What is 4*k(m) - 3*p(m)? -2*m Let k(b) = 5*b**2 + 11*b + 1. Let o(j) = j**2 + 2*j. Suppose 3*x - 25 = -4*l, 2*l + 48 = -2*x + 6*x. Calculate x*o(g) - 2*k(g). g**2 - 2 Let d(g) = -9 + 20 - 4*g - g. Suppose f - n - 22 = -4*n, 0 = -n + 5. Let i(t) = -2*t + 5. What is f*i(c) - 3*d(c)? c + 2 Let h(o) = -11*o**2 + 3*o - 7. Let p(m) = 56*m**2 - 14*m + 34. Determine 14*h(d) + 3*p(d). 14*d**2 + 4 Let v(c) = 11*c**2 + 5 + 8*c - 3*c - 4*c**2. Let z be (-3)/(-12) - 7/(-4). Let j(o) = 3*o**2 + 2*o + 2. Calculate z*v(p) - 5*j(p). -p**2 Let t = 24 + -25. Let l(i) = -i**3 + i**2 - i. Let x(u) = -2*u**3 + 3*u**2 - 3*u. What is t*x(o) + 3*l(o)? -o**3 Let f(w) = w - 8. Let v be f(6). Let m(a) be the third derivative of -7*a**4/8 - 5*a**3/6 - 129*a**2. Let t(i) = -5*i - 1. Calculate v*m(z) + 9*t(z). -3*z + 1 Let z(q) = -8*q**2 - 4*q - 10. Let l(j) = -5*j**2 - 3*j - 7. Give 7*l(u) - 5*z(u). 5*u**2 - u + 1 Let i(d) = -d + 1. Let z(f) = -6*f**2 - 5*f + 3. Determine -5*i(n) + z(n). -6*n**2 - 2 Let o(z) = 3*z**2 - 4*z. Let k be o(4). Let u(l) = 33*l - k*l + 1 + 0. Let t(i) = 6*i + 5. Give 3*t(s) - 15*u(s). 3*s Let t(o) = -9*o + 9. Let y(q) = -17*q + 17. Calculate -11*t(l) + 6*y(l). -3*l + 3 Let h(r) = -r**3 - r**2 + 1. Let t(v) = -14*v**3 - 2*v**2 + v + 3. Give -2*h(f) + t(f). -12*f**3 + f + 1 Let r = 1 + -3. Suppose 4*k = 3*k - 5. Let g(i) = -9*i**3 - 5*i - 5. Let j(m) = 4*m**3 + 2*m + 2. Give k*j(p) + r*g(p). -2*p**3 Let u(z) = 5*z + 2. Let p(h) = h - 3. Let o be p(-1). Let b(a) = a + 1. Give o*b(v) + u(v). v - 2 Let l(j) = j - 1. Let p(s) = 3*s + 6. What is -6*l(d) - p(d)? -9*d Let g(z) = 7*z - 8. Let y(i) = -6*i + 7. What is -5*g(m) - 6*y(m)? m - 2 Let q(s) = 2*s - 2. Let p(o) = o + 1. Let h(l) = l**3 - 10*l**2 - 11*l - 3. Let f be h(11). Determine f*p(z) - q(z). -5*z - 1 Let o(p) = 3*p**2 - 7*p - 5. Let w(h) = -8*h**2 + 20*h + 14. Suppose 2*n = t + 5 + 7, -4*t = 4*n - 12. What is n*w(d) + 14*o(d)? 2*d**2 + 2*d Let y(d) = d**2 + 0 + 0*d**2 + 2. Let a be y(0). Let v(c) = -c. Let i(l) = 3*l - l - 2*l - l. Give a*v(k) - i(k). -k Let m(g) = 3*g**2 + 3*g + 5. Suppose 4*n = -5 + 33. Let b(z) = 2*z**2 + 5*z + 4 - 10*z + n*z + 0*z**2. Calculate -4*b(k) + 3*m(k). k**2 + k - 1 Let f be (162/45)/(4/(-10)). Let m(u) = -5*u + 21. Let s(d) = d - 5. Determine f*s(y) - 2*m(y). y + 3 Suppose -4*i + 22 = 10. Let w(s) = -s - 7. Let y(v) = 3. Calculate i*w(n) + 7*y(n). -3*n Let y(p) = p. Let m(d) = -2*d. Give m(f) - 6*y(f). -8*f Let d(s) = -s. Let p(u) = -11*u + 1. Determine 2*d(l) - p(l). 9*l - 1 Let y(g) = 1. Let l(s) = s + 7. What is -l(h) + 5*y(h)? -h - 2 Let q(h) = h + 8. Let x be 5/(-2)*(-78)/15. Let u(n) = 9 + 2*n - 5 + 13. Calculate x*q(i) - 6*u(i). i + 2 Let c = -36 + 30. Let s be 2/(((-6)/(-13))/3). Let b(w) = -w**3 - 6*w**2 - 6. Let i(m) = -2*m**3 - 13*m**2 - 13. Give c*i(v) + s*b(v). -v**3 Let h(y) = -8*y + 39. Let m(o) = 2*o - 10. Give 2*h(c) + 9*m(c). 2*c - 12 Let d(n) = -n**2 + 1. Let u(y) = 12*y**2 + 2*y - 4. Determine -3*d(h) - u(h). -9*h**2 - 2*h + 1 Let f(o) be the first derivative of -o**5/120 + 8*o**3/3 - 3. Let t(z) be the third derivative of f(z). Let v(s) = 2*s - 1. Give -7*t(i) - 2*v(i). 3*i + 2 Let a(p) = -25*p**2 - 10*p + 13. Let y(m) = -17*m**2 - 7*m + 9. Determine 5*a(z) - 7*y(z). -6*z**2 - z + 2 Let b(z) = z**3 + 3*z**2 + 3*z. Let j(p) = -p**3 - 4*p**2 - 3*p. Suppose -1 = 3*l + 5, -3*q - 3*l + 3 = 0. Give q*j(v) + 4*b(v). v**3 + 3*v Let l(r) = 4*r**2 + 5*r. Let b = -9 - 0. Let y be 12 + -3*3/b. Let q(t) = 9*t**2 + 11*t. Give y*l(x) - 6*q(x). -2*x**2 - x Let x(w) = w**2 - w - 1. Let l(a) = a**3 + 2*a**2 - 2*a. Give -l(s) + 2*x(s). -s**3 - 2 Let z(q) = 1. Let k(i) = -3*i**3 + i**2 + 2*i + 4. Let m(d) = d**3 - d - 2. Let u(j) = 2*k(j) + 5*m(j). Determine -u(a) - 2*z(a). a**3 - 2*a**2 + a Let a(n) = 3*n - 3. Let d(o) = 1 - 7*o + 2*o + 6 - 2. Determine -7*a(k) - 4*d(k). -k + 1 Let a(o) = 3*o - 10. Let c(u) = -6*u + 19. Let d(i) = 11*a(i) + 6*c(i). Let q(m) = -m + 1. Give d(g) - 2*q(g). -g + 2 Let i(r) = r - 5. Let f(g) = -g - 1. What
{ "pile_set_name": "DM Mathematics" }
80.4 Work out -68 * -0.4. 27.2 Calculate -143*0.1. -14.3 What is the product of 5 and 8.8? 44 -3 times 0.305 -0.915 Calculate -229*-88. 20152 0.06 times -335 -20.1 Work out -0.4 * -54.92. 21.968 What is 4 times 3456? 13824 What is the product of 1 and 0.07? 0.07 -794*-3 2382 Product of -7 and 125. -875 Calculate 0.17*-179. -30.43 What is -0.04832 times -4? 0.19328 Calculate 0.8*-0.475. -0.38 27 * -14 -378 What is 530.8 times -1? -530.8 Calculate 0.5*24. 12 Multiply -26 and -0.7. 18.2 -164*0.4 -65.6 0.0168*0.2 0.00336 Work out -658 * 0.4. -263.2 Calculate -19*-0.65. 12.35 -1493 times -3 4479 What is the product of 0.03 and 0.89? 0.0267 138*0.1 13.8 Product of 3 and 0.0562. 0.1686 What is 0.04 times -3? -0.12 Multiply 0.05 and 0.037. 0.00185 What is 295 times -0.5? -147.5 Calculate -55*1.9. -104.5 What is 3 times -0.125? -0.375 Product of -0.9 and -0.228. 0.2052 What is the product of -0.051 and -0.2? 0.0102 Product of 0.2 and 280. 56 Multiply 31 and 1. 31 Product of -0.2 and 35. -7 -0.3 times -0.162 0.0486 Calculate -2.5*1. -2.5 Product of -194 and 5. -970 What is the product of -13 and -71.6? 930.8 Product of -6 and -1. 6 What is 0.26 times -3? -0.78 -7694 times 0.5 -3847 Product of -1079 and 0.4. -431.6 What is the product of -4 and 334? -1336 Calculate 0.15*-7. -1.05 Product of -35 and 27. -945 3*-70 -210 What is -38 times -9? 342 -30 times 0.33 -9.9 What is 1 times -48? -48 Multiply -0.37 and -1.6. 0.592 Multiply -0.5 and -21. 10.5 Work out -0.3 * 122.5. -36.75 Work out -2.8 * -2. 5.6 Multiply -0.88 and -0.06. 0.0528 What is -20.9 times 4? -83.6 What is 3 times 0.2861? 0.8583 Multiply 557 and 0.3. 167.1 Multiply 0.07 and 0.1. 0.007 What is 0.0587 times 0.4? 0.02348 Calculate 20*-22.3. -446 Calculate -5*-229. 1145 Product of -85 and -4.4. 374 What is -1.57 times -4? 6.28 Work out 530 * -3. -1590 2.35 * -5 -11.75 -135*2 -270 Product of 0 and 0.092. 0 What is the product of -0.0309 and -19? 0.5871 What is the product of -0.4 and 0.13? -0.052 What is the product of 0.2 and 2.02? 0.404 0.07*0.4 0.028 Multiply 76 and 0.3. 22.8 What is -783.9 times -0.3? 235.17 -1.8 times -13 23.4 -0.5 * 707 -353.5 -155*-4 620 What is 0.626 times 2? 1.252 What is -19.8 times 2.8? -55.44 -0.2*-1.5 0.3 Calculate 23*-3.3. -75.9 What is 28.3 times -3? -84.9 Multiply -0.4 and 5. -2 0.4 * 526 210.4 1924*0.2 384.8 Multiply -21225 and 0.1. -2122.5 What is the product of 3742 and 4? 14968 -13.89 * 0 0 Calculate -718*5. -3590 0.3*0.29 0.087 Calculate 1.2*5. 6 What is the product of -0.4 and -69? 27.6 Product of -2199 and 0.5. -1099.5 What is the product of 0.34 and 39? 13.26 -0.03536 times -4 0.14144 Multiply 6 and 36. 216 What is -105 times -5? 525 What is the product of -6 and -90? 540 -42*-4.7 197.4 Calculate -2*0.716. -1.432 -3 * 1503 -4509 -77 times -28 2156 -5 times -0.396 1.98 Work out -0.1 * -34.2. 3.42 What is the product of 3045 and 3? 9135 Calculate 5*1. 5 Product of -1549.4 and 0.4. -619.76 Product of -0.3 and -2.78. 0.834 0.6 * -9 -5.4 31 times 0.044 1.364 Work out -4.5 * 40. -180 -0.01 times -13.6 0.136 What is the product of 5 and 7? 35 Multiply 0.5 and -1881. -940.5 1210 * -5 -6050 -2.3 * -19 43.7 -581*-6 3486 9 times 10 90 -5*-36 180 Product of 1 and -1203. -1203 What is 0.1 times 0.385? 0.0385 What is -3 times 0.109? -0.327 -0.725 * -0.3 0.2175 What is the product of -0.2 and 31? -6.2 Work out 16 * 21. 336 Product of 1.095 and 0. 0 Product of 34.3 and 5. 171.5 Multiply 0.4 and 5.1. 2.04 Multiply 90 and 0.7. 63 Multiply 0.08 and 3.22. 0.2576 Product of 0.2836 and 0.5. 0.1418 128 * 0.06 7.68 What is 17 times -19? -323 3 * 6750 20250 -0.0429 * -0.2 0.00858 -757.1 * 0.1 -75.71 Work out -2.73 * 0.17. -0.4641 131 times -0.04 -5.24 153*2 306 -0.8 * 4.27 -3.416 -10124 * 0.3 -3037.2 What is the product of -2 and -0.02? 0.04 What is -6 times 5.1? -30.6 Work out 0.082 * -0.5. -0.041 51393*0.1 5139.3 Calculate 0.2*-10.5. -2.1 What is 7 times 0.047? 0.329 0.5*1.4 0.7 -1 * 7.33 -7.33 Product of 209 and 0.34. 71.06 Calculate 0.0812*10. 0.812 Calculate 0*659. 0 Multiply 264 and -0.5. -132 0 * 0 0 277*-45 -12465 Work out -3 * 13.3. -39.9 -0.04146 times 0.3 -0.012438 Multiply 1105 and 0.1. 110.5 0.5 * 294 147 -847.9 * -0.4 339.16 What is the product of -2 and 0.014? -0.028 Product of 0.4 and 0.056. 0.0224 Calculate -33*79. -2607 Work out 0.255 * -2. -0.51 Product of -1 and 35. -35 What is 0 times 53? 0 What is -0.16 times -10? 1.6 Product of 0.07 and 0.01. 0.0007 10.9 * -0.1 -1.09 What is the product of 0.0816 and -0.03? -0.002448 0.4*2.4 0.96 Multiply -8 and -10.7. 85.6 What is -4 times -5.8? 23.2 -1*0.98 -0.98 0.025*0.4 0.01 What is 214 times 0.4? 85.6 Product of -5820 and 0.1. -582 47*0.19 8.93 Work out -389 * -0.2. 77.8 -10 * 19.6 -196 What is the product of -11 and -116? 1276 What is -0.21 times 24? -5.04 Calculate -3*131.6. -394.8 Product of -6 and -0.15. 0.9 Product of -0.4 and -0.083. 0.0332 7*195.8 1370.6 Work out -0.5 * 42. -21 What is 4 times 0.383? 1.532 Product of -205.3 and -4. 821.2 Work out 0.0271 * -0.2. -0.00542 Multiply 0.45 and 0.14. 0.063 -2 times -21 42 Product of -0.16 and -0.8. 0.128 -12*-676 8112 31872 times 0.1 3187.2 11.4 * 5 57 Multiply -5 and -1. 5 Calculate 0.4*-0.37. -0.148 Multiply -0.14 and 25. -3.5 0.4104 * -0.7 -0.28728 Work out 51 * -0.21. -10.71 -2220 times -0.1 222 What is the product of -103 and 0.1? -10.3 0.5 * 155 77.5 -3*-1.319 3.957 Product of 1.8 and -0.27. -0.486 -0.3 times -122 36.6 -0.67 * -0.5 0.335 -0.3999 times -1 0.3999 -0.881*4 -3.524 Multiply 134 and 122. 16348 -8 * -0.5 4 What is 3 times 9.76? 29.28 -429 times -0.5 214.5 -0.521 times 2 -1.042 What is 0.1 times -53? -5.3 -276.8 * -0.4 110.72 -13 * -559 7267 Multiply 0.4 and -12.44. -4.976 Work out 0.193 * 4. 0.772 -1638 times -2 3276 -1995 times 5 -9975 What is -1.32 times -5? 6.6 -3*277 -831 Work out 4 * -0.013. -0.052 Product of -0.795 and 0.15. -0.11925 -23 * -4.17 95.91 Multiply -0.2 and 385. -77 Multiply 0.05 and -10. -0.5 Multiply -28 and 6. -168 What is the product of 2.5 and 0.016? 0.04 -0.1 * -0.044 0.0044 10*29 290 Calculate 8*-0.275. -2.2 Work out 1 * -28. -28 Product of 268.62 and 0.4. 107.448 Calculate -0.5*9. -4.5 What is the product of 0.6 and -0.379? -0.2274 Calculate -8488*-2. 16976 Calculate 466*-0.51. -237.66 Calculate 7*2.15. 15.05 134 times -0.002 -0.268 Product of -15 and -0.3. 4.5 -0.085 * -47 3.995 -1.9*-5 9.5 Work out 0.155 * -3. -0.465 -1358 times 0 0 0.1*-39 -3.9 3*405 1215 15 times -2.8 -42 114 * 0.2 22.8 Calculate 28*-299. -8372 What is the product of -16 and -26? 416 Multiply -0.007 and 13. -0.091 0.5*87 43.5 Product of 0.4 and -0.007. -0.0028 Work out 1.39 * 4. 5.56 What is 2 times -119? -238 What is -5 times -10? 50 -2 times -3171 6342 What is the product of 2 and -15.8? -31.6 What is the product of 0.29 and 165? 47.85 What is the product of -6.8 and 0.08? -0.544 200*0.19 38 -4119 * 1 -4119 Calculate -2*223. -446 -0.02*-16 0.32 Work out 0.0039 * -0.5. -0.00195 Multiply 0.2 and 3.5. 0.7 What is the product of 8 and -3? -24 -0.1 * -0.2 0.02 What is the product of 5 and -3160? -15800 -21 * 1.4 -29.4 Multiply -3 and -0.017. 0.051 What is 0.4 times 0.0381? 0.01524 What is 932 times 3? 2796 Multiply 2 and 27.3. 54.6 Calculate 1.1*-0.24. -0.264 Product of -905 and -0.1. 90.5 Product of -0.1092 and -19. 2.0748 Work out 0.5 * 2.1. 1.05 4 times 3580 14320 0.17 times -0.8 -0.136 Calculate -2*361. -722 15 times -170 -2550 968*2 1936 -0.2751 * 0.5 -0.13755 4 * 2 8 Multiply 0.4 and 16.2. 6.48 0.37 * 0.09 0.0333 What is -0.488 times -0.4? 0.1952 Product of -2702 and 0.5. -1351 What is -0.4 times -2.05? 0.82 -164 times 0.07 -11.48 What is the product of 9 and 2.072? 18.648 515*-0.3 -154.5 Work out -39 * -3.2. 124.8 What is the product of 2030 and 4? 8120 What is 5 times -133? -665 What is 0.2332 times 0.03? 0.006996 -1 * -285 285 What is -0.038 times 0.4? -0.0152 -0.0313 times 4 -0.1252 Calculate 69*-0.2. -13.8 -14.4*15 -216 0.015*-49 -0.735 0.4 times 6 2.4 What is the product of -278 and 3? -834 0.075*-0.068 -0.0051 What is -1.27 times -5? 6.35 Calculate -6*0.049. -0.294 Work out 0.72 * -0.11. -0.0792 Multiply 4 and 14. 56 Product of -0.2 and 78. -15.6 Product of -41 and 59. -2419 Product of 3 and 6.32. 18.96 Multiply -0.4 and 380. -152 Multiply -6.5
{ "pile_set_name": "DM Mathematics" }
Let l = k + -12. Which is the biggest value? (a) -1/5 (b) s (c) l c Let m = 48 - 46. Let f be (m/(-3))/(25/300). Let x be f/2*6/(-12). Which is the smallest value? (a) -4 (b) x (c) -0.2 (d) -0.5 a Let h be -2 - (-9 - (-15)/5). Let x(m) = m**2 - 15*m + 48. Let u be x(h). Which is the second smallest value? (a) u (b) -5 (c) 1 (d) -2/5 d Let h = -17409.7 + 17410. What is the biggest value in h, 0.2, 1/1189, -2/3? h Suppose -751 = 2*d - 3*o, -4*o = -4*d + 8*d + 1512. Which is the biggest value? (a) -5 (b) -1 (c) d b Suppose -2*s - 6 = 2*n, -s + 4*n - 20 - 3 = 0. Let l = -16 - -16.1. Which is the second biggest value? (a) -3 (b) s (c) 0 (d) l c Let y = 231.8 - 232.4. What is the fourth biggest value in y, -4, -25, -0.1, -1/2? -4 Let w = -0.04163 + -4.95837. Which is the third smallest value? (a) 2 (b) 180 (c) w b Let y(r) = r**2 + 6*r. Let n be y(-6). Suppose -b = -0*b + 5, f + 5*b + 21 = n. Let a be 155/(-930)*(2 + -1 + -2). What is the smallest value in a, f, -0.06? -0.06 Let j = 39 + -38. Let u = -31.13 - -31. Let d = -0.14 - u. Which is the third smallest value? (a) j (b) 0.4 (c) d a Let y = 0.9 - 1. Let h = -0.195 - 22.005. Let v = 15.2 + h. Which is the second biggest value? (a) 2/15 (b) y (c) v b Let k be (485/25 - (-6)/10)*1. Let z = 1 + -1.3. Suppose -2*g + 3*g + 12 = 3*i, -4*g + 7 = -i. Which is the second smallest value? (a) g (b) k (c) z (d) 2/7 d Let w = -0.030641 + 0.630641. Let c(d) = -6*d**2 - 3*d + 1. Let h be c(-6). Let a = 2957/15 + h. What is the second smallest value in w, 0.2, a? 0.2 Let v(p) = p**2 + p - 156. Let l be v(-13). What is the fourth smallest value in -0.4, 4, -96, -0.3, l? l Let y = 0.7986 - 344.6986. Let x = 344 + y. What is the second biggest value in x, -2/11, -3, -3/7? -2/11 Let x = -8 + 9. Suppose 114*p + 2177 = 425*p. Which is the second biggest value? (a) -0.5 (b) p (c) x (d) -6/11 c Let c = -6.9 + 2.9. What is the second smallest value in c, 1/20, 2? 1/20 Suppose 5*t - 2*u + 24 = 1, 0 = -3*t - 3*u + 3. Suppose -2*j + 232 = 10*v + 224, 2*j - 5*v = -37. Which is the third smallest value? (a) t (b) 6 (c) j b Let i be 4/(-2)*(-44)/8. Suppose -2*l + i = -5*v, -l - 5*v - 23 = 3*l. Let s = 0.23 + 3.77. What is the smallest value in -1/4, s, l? l Suppose 3*q = 2*l + 28, -4*q - 20 = -7*q - 2*l. Suppose -3*n + q = -4*x, 5*n - 10 = 5*x + 5. What is the fourth smallest value in -2, 2, 1/13, n? n Suppose -5*a + 61*w + 11 = 63*w, 0 = 2*a + 3*w - 11. What is the third biggest value in -1/12, a, -25? -25 Let n = -598.814 + 5.214. Let m = n - -584. Which is the third biggest value? (a) 0 (b) m (c) -4 b Let s = -2563/7495 - 87/1499. Let y = -70 + 45. What is the second biggest value in y, 1/4, s, 4? 1/4 Suppose -1314*j - 122 = -1316*j. Suppose 14*h - j = -47*h. Which is the biggest value? (a) 109 (b) 0 (c) 0.5 (d) h a Let o = -254002/957 - -26/319. Let i = o - -265. What is the smallest value in -2.9, 0.5, i? -2.9 Let j = -726.5 + 539. Let z = j + 187. What is the third biggest value in -0.03, -12, z? -12 Let w(f) = -6*f - 6. Let j be w(-1). Let b = -34 + 23. What is the third smallest value in -2/11, b, j, 2? j Let s = -40679 - -40679.4. Let v be (-8)/(-3) + (-4)/2. Which is the third smallest value? (a) v (b) 0.024 (c) 0.2 (d) s d Let f = 0.0144 + -804.0144. Let x = 804.2 + f. Let u = -1 - -5. What is the fourth biggest value in -5, u, -2/3, x? -5 Let x = 3.96 + 0.04. Let l = -22/3 - -104/15. What is the biggest value in -0.24, l, x? x Let s be 63/(-18) - (-51)/(-6). Let b be 3 - (25/15)/(-5)*s. What is the biggest value in b, 1.1, -5, 0.4? 1.1 Suppose 3*m - 3 - 405 = 0. Let k = m - 108. Let s = -7.2 + 6.2. What is the biggest value in s, 2/15, k? k Let k be (-5)/20*75/50. What is the smallest value in 21, 5, 2, k? k Let w = -38.1 - -37.9. Let l = -209/4 - -53. Which is the third biggest value? (a) 0 (b) 2 (c) w (d) l a Let x = 5.63 - -0.37. Let i = 1480 + -1513. What is the third biggest value in 0, i, x? i Let r = -5 - -1. Let l = -4991.9 - -4761. Let m = l + 231. Which is the biggest value? (a) 5 (b) r (c) m a Let i = 3201.02 + -3201. Which is the fifth biggest value? (a) -1 (b) -21 (c) i (d) 0 (e) -4 b Suppose -4*w - 2*p = 592, 0 = 3*p - 352 + 346. Which is the second smallest value? (a) w (b) -3 (c) -2/3 (d) 1 b Let l = -23671 - -260382/11. Which is the third biggest value? (a) l (b) 54 (c) 0.1 (d) -40 (e) 0.4 c Let y = 22 + -18. Let r = -854 + 854. Which is the second biggest value? (a) -1 (b) y (c) 24 (d) r b Let m = 7.303 - 2.303. Which is the second smallest value? (a) -2 (b) m (c) 2/13 c Let h = -487.67 - -479. Let w = h - -4.67. Which is the second smallest value? (a) w (b) 10/3 (c) 0.3 (d) -3 d Let k = 270 - 271.17. Let y = k + 1.25. What is the third biggest value in 0.5, y, -1/7? -1/7 Let a = -0.43 + -0.27. Let p = -4.3 + a. Let n be 24/(-9) - (-2 + -1). What is the third smallest value in p, 5, n? 5 Let x = -732 + 731. Suppose -5*k + 89 = -6. What is the biggest value in k, -4/3, x, 2? k Let q = -1209174 + 15710675/13. Let o = -661 - q. What is the third smallest value in o, -15, -5, -3? -3 Let h = 35085 + -35091. Which is the fifth smallest value? (a) -8 (b) -3/5 (c) h (d) -1/9 (e) 4 e Let n = 215.8 - -56.6. Let l = -272 + n. Which is the third smallest value? (a) l (b) -2/3 (c) 2 (d) 1 d Let n = 534.329 - -2.664. Let d = -537 + n. What is the third biggest value in 2/11, 0, d? d Let g be 355/300 - 75/(-1125). What is the second biggest value in 14, 1, -4, 6, g? 6 Let u = -102 - -509/5. Let g be 7 + ((-12)/4 - 0). Suppose -g*z = -0*z - 8. Which is the smallest value? (a) z (b) 4 (c) u c Suppose 3*m + 3*m = -36. Let y be (m + (-1467)/(-243))*(1 - -5). Which is the fourth smallest value? (a) 1/6 (b) y (c) 0.1 (d) -1/3 b Let o = 1.5655 + -1.7655. Which is the fourth smallest value? (a) -4 (b) 5 (c) -15 (d) o (e) 2 e Let n = -175.8 + 164.13. Let u = n + 11.47. Let i = 1/110 + 323/770. Which is the second smallest value? (a) u (b) i (c) -4 a Let h = 1525 - 10678/7. Which is the biggest value? (a) h (b) -10 (c) 33/8 c Suppose -z = -3*o - 32, 0*o + z + 45 = -4*o. Let b = -6 - o. Suppose 44 = 5*m + 17*m. What is the second biggest value in m, b, -3, 3? 3 Let f be (-13370)/(-4584) - (-10)/12*6/(-20). What is the third biggest value in f, 1, 4/33? 4/33 Let n = 109.3789 + 0.0211. Let h = n + -89. Let k = h - 20. Which is the smallest value? (a) 0.3 (b) k (c) -5/2 c Let i be (-24)/(-15) - 19/19. Let t = -144 + 246. What is the fourth smallest value in 1, -4, t, i? t Let n = 909.973 + -947.97. Let k = n + -0.003. Let h = -36 - k. What is the third biggest value in -47, h, 3? -47 Let t be 4/(-14) + (-99)/21. Let r = 106.6 + 6.4. Let o = r - 116. Which is the biggest value? (a) t (b) 0.4 (c) o (d) 4 d Let c(i) = 7*i**2 - 6*i - 23. Let u be c(9). Let b = -17152/35 + u. Let r = -0.7 + -3.3. What is the second smallest value in r, -2/7, b? -2/7 Let h be (-798)/1368 + (-1)/(-12). What is the fifth smallest value in -6, -1, h, -1/5, -0.1? -0.1 Let k be ((-7)/6 + (-9)/270*-5)*-2. Which is the smallest value? (a) -2 (b) 3 (c) -0.09 (d) k (e) -0.1 a Suppose -204*g + 207*g = 3*v - 39, 4*v - 24 = -3*g. Which is the biggest value? (a) v (b) -3/2 (c) -0.4 (d) -5 a Let l = -510.9864 - 0.0136. Let s = -512 - l. What is the second biggest value in s, 1, -19? s Suppose 2*l = 3*j - 20, -6*l + 5*j = -2*l + 38. What is the second biggest value in 2/3, -108, l? l Let s be 3*(-240)/(-126) - 7. Which is the second biggest value? (a) -0.5 (b) 0.5 (c) -0.03 (d) -2 (e) s c Let n = 0.01 + 0.19. Let z = -12.84 - 31.21. Let b = 44 + z. What is the third smallest value in n, 1/8, b? n Let r be 12*(308/1384)/11. Let l = r - 3916/14705. Let n = -53/85 - l. Which is the third smallest value? (a) -0.4 (b) -2 (c) 0 (d) n a Let u = 15 + 13. Suppose 2*n = -5*n - u. Which is the second biggest value? (a) -1/7 (b) n (c) 1/6 (d) 0.05 d Let z = -439 + 414. What is the third biggest value in 0.4, -3, z, 3/2? -3 Let y = -1/63 + 71/504. Which is the second smallest value? (a) -1614 (b) 1 (c) -0.1 (d) y c Let z = 0.00873 + 0.39127. Let j = 38 - 42. What is the second smallest value in 9, j, z? z Let o be (-1)/((-6)/4*-2)
{ "pile_set_name": "DM Mathematics" }
What is the nearest to -2 in 0, i, -2/9? -2/9 Let u = 354.294 - -0.706. Let c = u - 357. What is the closest to -2/9 in -4/9, c, -7? -4/9 Let r = -959.38 - -958.7. What is the closest to r in 3/8, 4, -0.3? -0.3 Let o = 4.5 - 4.9. What is the closest to 14 in -0.1, 0.5, o? 0.5 Suppose 54 - 74 = -10*q. What is the nearest to 7 in q, 3, 1, 0.3? 3 Let z = -0.1 + 0.6. Let t = -37774 + 37756. What is the nearest to t in z, 4, 5? z Let x(f) = f**3 - 4*f**2 - 4*f - 6. Let q be x(5). Let d = -1.645 + 0.045. Let r = d + -1.4. Which is the closest to q? (a) r (b) 0.5 (c) 0 c Let j be -2 - (4/6)/((-4)/282). Suppose 4*m = 0, -3*x - 2*m - 2*m = -j. Suppose 0 = -x*d + 18*d. Which is the nearest to 0? (a) 4 (b) d (c) 2/3 b Suppose 0 = -0*z - z + 3. Let a = -35 - -49. Suppose a + 0 = 4*r - 2*w, -z*w - 9 = -2*r. What is the nearest to 1 in r, 0.13, 1? 1 Let f = 0.1 + -0.4. Let x = 0.0772 + 0.3028. Let v = x - -0.72. What is the nearest to f in -3, v, -0.2? -0.2 Let k = 24.1 + -23.6. What is the closest to -0.0224 in k, -0.4, -5? -0.4 Let g = -849.4 - -193.9. Let u = 655 + g. Which is the closest to -4/7? (a) 5 (b) 0.3 (c) u c Let n = -6 + 5.6. Let x = 0.52 + 1.88. Let b = x + -2. What is the closest to b in 0.5, 0, n? 0.5 Let n = -1.047852 + 0.047852. Let v = 18 - 18.09. Which is the nearest to -0.1? (a) 0 (b) 1/6 (c) v (d) n c Let v = 170.225 - 2.325. Let k = v - 168. What is the nearest to k in -3/13, 1, -4? -3/13 Let y be -8 - 42/684*-130. Let w = y - 37/57. Which is the closest to -2? (a) w (b) 2 (c) 2/3 (d) 4 a Let c = 3 - -4. Let y = 6 - c. Let b = -2733 - -2731. What is the nearest to -2 in 1, b, y? b Let y = 101.84 - -0.16. Let f = y - 104. What is the closest to f in 5, -2/21, -0.2? -0.2 Let v = 83.72 - 83.72. Let b(a) = -6*a**2 - 2. Let d be b(-2). What is the nearest to v in -3, d, 1? 1 Let u(v) = 3*v - 22. Let d be u(9). Let i = 12232 - 12228. What is the closest to 2 in d, 3/5, i? 3/5 Let r = -1039 - -1035.7. What is the nearest to 1/4 in r, 1, 0, 2? 0 Let u = -5.0802 + 5.0802. Let z = -26 + -8. What is the nearest to u in -1/10, z, -0.3? -1/10 Suppose d + l - 8 = -4, -3*l = -2*d + 33. Let r be (-3)/d + 26/24. Let u = -0.0744 - -0.3744. Which is the closest to r? (a) u (b) 5 (c) -4 a Suppose -7*g - q = -2*g - 16, 2*g + q - 4 = 0. Let z = -1024/35 - -202/7. What is the nearest to -2/5 in g, -12, z, -5? z Let p = 128222/7 - 18318. What is the closest to -4.6 in p, 0.2, 2? p Let r = -107/320 + 15/64. Let v(h) = -12*h + 1. Let t be v(1). Let j = 25/2 + t. Which is the nearest to -2? (a) r (b) -3 (c) j b Let z = -1.071 - -4.811. Let u = -4.74 + z. Let h = 1.99 + 0.01. Which is the nearest to h? (a) u (b) -4 (c) 2/3 c Let h = -93.96 - -94.05. Which is the nearest to 2? (a) 5 (b) h (c) -7 b Let v = -413/747 + 9/83. Let d = 2577/7 + -369. Let g be ((-5)/10)/((-180)/48). Which is the closest to -2/7? (a) v (b) g (c) d a Let z = -2/3665 - -22012/40315. Suppose 8*r = 3*r + 25. What is the nearest to z in 4, -3/5, r? -3/5 Let h = 1.78 + -75.78. Let t = -74.3 - h. What is the nearest to 1/2 in 0.3, 1, t? 0.3 Let q = -1259.347 + 1260. Let o = q + -0.853. Which is the nearest to -4/7? (a) o (b) 2/5 (c) -1/4 (d) -5 c Let m be (500/(-200))/(5/(-872)). Let t = m - 441. What is the closest to -40 in 0.1, 3, t? t Let u = 31680 - 31684. Let o = -0.3 + 0.2. Which is the closest to o? (a) u (b) 0.1 (c) 3/4 b Let i = -3121 + 3117.8. Let k = 1.8 - -0.4. Let n = k + i. What is the nearest to n in -5, 2/3, 14/19? 2/3 Let m = -2259.006 + 2259. What is the nearest to 0.3 in m, 0.03, 3, -4? 0.03 Let o = 19.4851 + -21.4851. Let y = 1.2 - 0.2. Which is the nearest to y? (a) o (b) -13 (c) 0 c Let x = 380.464 + -381. Let f = 0.464 - x. Which is the nearest to 0? (a) -3 (b) 18 (c) f c Let p = 2.78 + 0.22. Let w = 0.389 + 1.611. What is the closest to w in p, 4, -5? p Let g be (-10)/(-24)*12/(-40). Let p = -1077.3 - -1077.33. What is the closest to -0.04 in p, g, -4? p Let g = -168 + 140. Let p = -27.6 - g. What is the nearest to 2/7 in p, -2/11, -2/9? p Let k = 0.39 - 31.29. Let r = k - -31.1. Let t = -3.1 - -3. Which is the closest to r? (a) 5 (b) -3/5 (c) t c Let m = -41611/33 + 11281393/8943. Let b = -2/271 - m. Let s = 0.19 + -0.69. What is the nearest to 0 in s, b, -2? s Let x(h) = -h**2 + 12*h + 13. Let p be x(13). Let m = -574 + 575. Which is the closest to -2/11? (a) m (b) -3/5 (c) -1/4 (d) p c Suppose -5*u = -4*u - n - 15, -3*u = -2*n - 45. Let i be (-9)/u + 533/440. Let m = i - 1/88. What is the nearest to -2/3 in m, -2, -1/10? -1/10 Let r = 38.3 - -11.7. Let c = -51.4 + r. What is the nearest to c in -0.3, -1/4, -0.2? -0.3 Let g(f) = 3*f**3 - 9*f**2 - 5*f - 16. Let v be g(5). Let z be (-4)/(-10) + -4*v/(-10). Which is the nearest to -0.1? (a) 5 (b) 0 (c) z b Suppose 46*w - 50*w + 236 = 0. Let k = -59 + w. Which is the nearest to 0? (a) -0.2 (b) -12 (c) k c Let r = -27.5 + 239.5. Let j = -212.01 + r. Which is the nearest to -0.2? (a) j (b) -0.5 (c) -3 (d) -1 a Let s = -755657/129 + -6014/43. Let k = 6059 + s. Let v = k + -61. Which is the nearest to 0.1? (a) 5 (b) 0 (c) v b Let f = -815/11 - -74. Let v = -384.8 - -410. Let c = v + -25.4. What is the closest to c in f, 2/9, -0.5? f Let s(o) = -o**3 + 3*o + 1. Let i be s(-2). Let d be (-1)/(-5) + (3 - 3). Let z = -983 - -984. Which is the nearest to 2/5? (a) d (b) i (c) z a Let u = 939 - 938.9. Which is the closest to 0.1? (a) -1/32 (b) 0.4 (c) 0.3 (d) u d Let j = -2670 - -2672. What is the nearest to j in 4/3, -5, 0.3, 2? 2 Let t(w) = -3*w**2 + 133*w - 49. Let m be t(44). Which is the nearest to -2/5? (a) 4 (b) 1 (c) m (d) 1/4 d Suppose 2*m - 27 = m - 5*g, -3*m + 5*g - 19 = 0. Let y = 31139.89 - 30920. Let n = y + -220. Which is the nearest to -0.2? (a) -1/3 (b) n (c) m b Let c = 0 - -0.4. Let k = 644 + -586.2. Let j = -58 + k. What is the nearest to j in 5, -2, c? c Let c = 1553/85 + -314/17. What is the nearest to -2 in -0.3, c, -5, -1/2? -1/2 Let z(d) = 3*d**3 - 189*d**2 + 183*d + 191. Let r be z(62). What is the nearest to -0.5 in r, -1, 4, -3? -1 Suppose -56*q + 3 - 6 = -3. What is the nearest to q in 0.4, -3, 1/4, 4? 1/4 Let t = -1640/7299 - -2/811. Which is the nearest to -2/5? (a) -3 (b) -3/7 (c) -2/119 (d) t b Let m = -163 + 38. Let x = m - -97. Let o = 33 + x. Which is the closest to -5? (a) -2 (b) o (c) 2 a Suppose 4 - 1 - 2 = -v. What is the nearest to v in 0.1, 5, 4/3, -2/19? -2/19 Let r = 19.785 + -19.775. Let f = 21.039 + -0.039. Let g = f - 15. Which is the closest to g? (a) 0 (b) r (c) 1 c Let a be (-4 - -9) + (-2 - 0). Let c = 0.3112 - -1.6888. What is the nearest to 0 in c, 0.03, a? 0.03 Let o(f) = -3*f**3 - 43*f**2 - 113*f - 350. Let u be o(-12). Let w = 17/84 - 1/28. What is the nearest to -1/3 in u, w, -4? w Let j = -2 - -3. Suppose 18*u = 22*u + 464. Let k = -97 - u. Which is the nearest to 1/3? (a) j (b) -4 (c) k a Let h = -3 + 3. Let b = 6.663 - 6.663. What is the closest to h in -1/4, b, -2/7? b Let o = -1 - -1.3. Suppose -180*s - 259 - 242 + 141 = 0. Which is the nearest to o? (a) -4 (b) 0 (c) s (d) 0.2 d Suppose -313*y = -321*y + 72. Suppose -14*z = -10*z + 4, -2*i + 5*z + y = 0. Let h = -4 + 9/2. Which is the nearest to 0.07? (a) h (b) i (c) -2/21 c Let m = 15762 - 15761.5. Let z = -18 + 18.07. What is the closest to 14 in z, 2/3, m? 2/3 Let q be (20/16)/(((-2)/5)/((-96)/(-60))). What is the nearest to q in 3, -5, -2/13, -0.4? -5 Let z = -2597.8 - -2602.8. What is the nearest to z in -2/5, -3, 24? -2/5 Let z = 2957 + -2956. What is the nearest to 7 in 0.3, -0.5, z? z Let n be 1003/(-59) + 90/6. Which is the nearest to 1/4? (a) -3/2 (b) 64 (c) n a Let w be (21/6 + -3)*2. Let o = 5124 - 5119. Let v = 5 - -6. What is the nearest to 0.1 in v, w, o? w Let a = -3.07 + 0.07. Let n(w) = -w**2. Let q be n(-5). Let c be q/7 - 0 - -3. What is the nearest to -1 in a, -31, c? c Let f = -2839.1 + 2839. Suppose 4 = -3*u - 2. What is the nearest to u in f, -1.2, -3? -1.2 Let l be -196 + 207 + (-70)/6. Which is the nearest to 0? (a) 1918 (b) -1 (c) l c Let z = -4486 - -4486.2. Which is the closest to z? (a) -1.4 (b) -4/5 (c) 1/3 (d) 0 c Let r = -0.97 + 0.74. Let m = -2.2 - -2.07. Let w = r - m. What
{ "pile_set_name": "DM Mathematics" }
44. Suppose -v*g + 5 = -9*g. Suppose g*a - 181 = -2*r, 3*a - 99 = 4*r - 2*r. Is a a prime number? False Let q(r) = 34*r**2 - 22*r + 43. Suppose -2*k = 3*t + 41, 35 - 25 = 2*k. Is q(t) composite? False Let j(q) be the second derivative of 0 - 19*q - 7/2*q**2 - 38/3*q**3. Is j(-9) prime? True Let j(n) = -40693*n - 1023. Is j(-8) prime? False Suppose 4*j = -4*t + 8, -5*t = 4*j - 3 - 2. Suppose -2300 = -j*u + u. Suppose -4*r = -1077 - u. Is r prime? False Suppose 6*k + 280 = k. Let u be (-9)/(-12)*-2*k/12. Suppose 0 = -u*n + 8*n - 1195. Is n prime? False Is 38476627/(-357)*(-3)/1 a prime number? True Suppose 14*b - 19*b = -20, 16 = 4*q + 4*b. Suppose q = -26*g + 9*g + 103513. Is g a prime number? True Let r = 172 - 164. Suppose -r*a = -605 - 1115. Is a a composite number? True Let w(f) = -225*f - 3. Let l = -43 - -49. Suppose 3*y - 6*y - l = 0. Is w(y) a prime number? False Suppose 143*g + 16 = 151*g. Suppose -5*l = 4*m - 14451, -7*l = -g*l + 3*m - 14447. Is l a prime number? True Let j(d) = 86*d + 706*d - 640*d + 1400*d - 24 + 1893*d. Is j(2) prime? False Suppose -4 = -2*o + 3*j, 3*o + 7*j = 5*j + 6. Suppose 3*w + o*w + 62 = f, f - 68 = 3*w. Is f composite? True Let f(g) = 206*g - 4123. Is f(69) a composite number? False Let c = -42087 + 102300. Is c composite? True Let i(m) = 4385*m**2 - 46*m - 91. Is i(-4) a composite number? True Let v = -10305 - -19871. Is v*27/(-72)*-4 prime? False Suppose 43338422 = 79*w - 14666459. Is w prime? False Let j(r) = -2*r**3 + 2*r**2 + 4*r - 4. Let m be j(2). Let u(x) = 2*x**2 - 4*x - 4. Let v(y) = -y. Let o(z) = m*v(z) + u(z). Is o(5) composite? True Let s(v) be the first derivative of 17*v**4/2 - 4*v**3/3 - 3*v**2/2 - v - 1. Let a be -3*(-15)/9 - 1. Is s(a) a composite number? False Let i = 14 - 10. Suppose 5*g = -5*m + 2435, 2*g + 245 = -i*m + 1209. Suppose -1808 + g = -4*j. Is j a prime number? False Let h = 456 + -406. Suppose -53*c = -h*c - 7419. Is c composite? False Suppose 474962 = 5*z - 3*c, 123*c + 189982 = 2*z + 119*c. Is z a prime number? True Suppose -5*t - 3*v = -340, 0 = -2*t + 22*v - 20*v + 152. Suppose 0 = -67*p + t*p - 11084. Is p composite? True Suppose i + 1255 = 3*c - 314, i = c - 521. Let l = c - 228. Suppose 5*w + l = 13*w. Is w prime? True Let z(n) = -3*n - 3. Let j be z(-2). Suppose -j*g - 194763 = -3*l, 357446 = 5*l - 4*g + 32845. Is (-2)/7 + 0 - l/(-21) composite? True Let y(q) = 394*q**2 - 94*q - 458. Is y(-5) a prime number? False Let l(w) = -7*w - 12 - 8*w**2 - 4 - 1 - 1 + w**3. Let i be l(9). Is i/(-3 + 7) - -1159 a prime number? False Let w = 432 + -432. Suppose 0*y - 3*y + c = -2364, -y + 5*c + 802 = w. Is y a prime number? True Let y(q) = 25505*q**2 - q + 1. Let v be y(2). Suppose -v = -23*g + 17466. Is g a composite number? True Let s be 3 + (-5 - -2*(14712 - 1)). Suppose 4*k + 4*l = s, -k + 7355 = l - 2*l. Is k composite? True Let i(s) = 151*s**2 + 40*s - 656. Is i(-27) a prime number? True Let z(w) be the first derivative of 49*w**2/2 + 10*w - 1. Suppose 0 = -3*x + 3*d + 48, 22*d - 27*d + 11 = 2*x. Is z(x) a composite number? False Let y(t) = -531*t**3 + 2*t**2 - 9*t - 10. Let v be y(-3). Let f = v + -8421. Is f prime? False Let x = -9 - -11. Suppose s + 1 = x*s, 0 = -3*z + s - 598. Let c = -125 - z. Is c composite? True Suppose -4*h + 1509 = -47071. Suppose 4561 = 2*g - h. Is g prime? True Suppose 4*m + 0*m + 2*b = 12438, -2 = -2*b. Suppose 5*i + 1162 = -7928. Let t = m + i. Is t prime? True Suppose -4*q - 5*z + 4437 = 0, 7*q - 3*z = 3*q + 4461. Let y(k) = k**2 + 8*k + 9. Let v be y(-7). Suppose d = v*f - 742, 9*f - q = 6*f - d. Is f prime? False Let o = -94 + 106. Let x = o - 4. Suppose -x*f + 6553 = -8223. Is f a prime number? True Let m(k) = -3*k**2 + 3*k + 254. Let f(b) = 23 + b**2 - 44 + 22. Let q(y) = 5*f(y) + m(y). Is q(0) composite? True Let s = -1149 - -22018. Is s prime? False Let m(b) = 36*b**3 + 39*b**2 - 146*b + 28. Is m(13) prime? True Let s(t) = -99*t - 182. Let r be s(-15). Let h = -656 + r. Is h prime? True Let a(d) = -5*d - 46. Let f be a(-10). Suppose 4486 + 6210 = f*q. Suppose -5*w + l + 4470 = 0, 0 = -3*w - 6*l + 5*l + q. Is w a prime number? False Let d(q) = 895*q - 7. Let w(m) = -10*m - 58. Let p be w(-6). Is d(p) composite? False Suppose 144 = -11*t + 8*t. Let u be (18/t)/(1/(-8)). Is -1 + ((-2162)/(-2) - u) prime? False Suppose 5*l = d + 246, 2*d + d = -3. Suppose -2*i + 65 = -l. Is i a prime number? False Let t(a) = 407*a + 20. Let r be t(-44). Let s = r + 31737. Is s a composite number? True Suppose 15*u - 3359733 = -235938. Is u a prime number? True Let o(l) = 7*l**2 + 2*l**3 - 9*l + 4*l**2 + 8*l**2 + 4 - 11*l**2. Let r be o(-5). Is r/5 - (-438180)/150 composite? True Let m be 30 + -30 + (-6)/1. Is (7 + m)/((-13215)/6609 + 2) a composite number? False Let x be 208 - -8*-1*(-15)/(-40). Let r = x - -1194. Is r a composite number? False Let h(g) = 8411*g**3 - g**2 + 7*g + 62. Is h(7) composite? True Is 1/((-18888093)/141663735 - (-4)/30) prime? True Let n(p) be the first derivative of 1 - 4/3*p**3 + p + 15/4*p**4 - 7/2*p**2. Is n(5) a composite number? False Suppose -46*c = -3134087 + 1894660 - 7119003. Is c a composite number? True Is (-87917)/(6/(-4)*(-256)/96 + -5) a composite number? False Let x(v) be the third derivative of 907*v**5/20 - v**4/6 + 5*v**3/6 - v**2 + 59*v. Is x(1) a composite number? True Let n(m) = -536*m**3 + 62*m**2 - 12*m + 13. Is n(-6) a prime number? True Suppose 293*s = 134*s + 94*s + 13548145. Is s a prime number? True Suppose 4*c - 2 = 2*c. Suppose 7 - c = d. Let g(h) = 2*h**2 - 2*h - 1. Is g(d) a composite number? False Suppose -10*g + 7741158 = 91*g + 153*g. Is g a composite number? True Let p(h) = 22*h**2 - 3*h + 7. Let m(r) = r + 6. Let a be m(-5). Let w be (0 - (5 - a)) + 0. Is p(w) composite? True Suppose d - 178381 = -3*s, -2*d - 4*s + 566113 = 209343. Is d a composite number? False Suppose -3 = 6*r - 21. Let s be (25 - 27)/(r/(-4) + 1). Let l(u) = u**3 + 10*u**2 + 6*u + 9. Is l(s) composite? False Suppose 4*c = d + 14, 2*c = -3*d - c - 12. Let z(k) = k**3 + 5*k**2 - 6*k + 14. Let x be z(d). Suppose 5*l = x*l - 57177. Is l a prime number? True Let i(j) = -1087*j - 124. Let h(a) = -3*a + 1. Let x(p) = 3*h(p) + i(p). Is x(-9) a composite number? False Let x be (1/(-2))/(22/(-44))*3. Suppose 17 + x = 5*m. Let a(h) = 718*h - 11. Is a(m) prime? True Let s(i) = -3*i**2 + 5*i - 212. Let p(h) = 2*h**2 - 3*h + 106. Let l be (3/(-2))/((-30)/(-100)). Let k(m) = l*p(m) - 3*s(m). Is k(0) composite? True Suppose -2*j + 73 = 4*r - 5*j, 3*r - 39 = -3*j. Let u = -12 + r. Suppose 3*o + 105 = 3*l, u*l - 5*o - 91 - 53 = 0. Is l a composite number? False Suppose 4*v - 3*h = 2*h - 35, 0 = 2*v - 4*h + 22. Let s(r) = 3 - 93*r - 7 - 18. Is s(v) a prime number? True Let i be (-24)/(-8)*(0 - 2/(-3)). Suppose 6*r - 2*r + 4*p - 41644 = 0, -20822 = -i*r + 2*p. Is r a prime number? False Let u(p) = -17*p**3 - 14*p**2 + 205. Is u(-34) a prime number? True Suppose -379 = 9*h - 55. Is (-9)/h*(3 + -1)*17090 a prime number? False Let s(d) = 5*d**3 + 10*d**2 - 4*d - 14. Let m(j) = 11*j**3 + 20*j**2 - 8*j - 27. Let t(v) = 6*m(v) - 13*s(v). Let n = 1210 - 1199. Is t(n) prime? False Let x = 25572 + -9789. Is x a composite number? True Suppose 3 = 4*i + u - 2, 0 = -2*i + u + 1. Let y be 36/(-9) - 0/i. Is (2395/25)/(y/(-20)) a prime number? True Let z be ((-1)/2)/((-4)/(-40)). Let b(d) = -7*d - 203. Let n be b(-29). Is (-716 + (-3 - n))*(z + 4) a composite number? False Let i = -3 + 2. Let j = 3164 - 3161. Is j - i*(1 + 105) a prime number? True Let q be (-325)/(-20) - 3/12. Is ((-6)/q)/(51/147118)*-4 composite? False Suppose 12*z - 7*z - 54170 = 5*v, v = -2*z + 21680. Let c(l) = 302*l**2 + 2*l + 3. Let r be c(3). Suppose d - b + 5*b - r = 0, -4*d - 2*b = -z. Is d composite? False Let n = 9243 - 3849. Suppose -c - 1490 = -4*r + 9310, -2*r = -2*c - n. Is r a prime number? False Let u(y) = -3*y - 40. Let p be u(-12). Is (-14488)/p + 2 + -1 a composite number? False Let l be (74660/(-25))/((-3)/15*2). Let i = l - 11047. Is 20/(-30) + i/(-3) a prime number? True Suppose -395*b = -392*b + 195186. Let c = -35273 - b. Is c composite? False Let n be (-20)/70 + 26/(-7). Let s be 2/2 - 1 - n. Suppose -5*w + 2*g + 5207 = 0, -3*g = 2*w - s*w + 2074. Is w a compos
{ "pile_set_name": "DM Mathematics" }
o? 88*o**3 - 15*o**2 - 2187 What is the second derivative of -40*g*q**5 + 32051*g*q - 10*g + 1123*q**3 + 2*q**2 wrt q? -800*g*q**3 + 6738*q + 4 Find the first derivative of -9*v**4 - 2*v**3 + 7639*v + 349419 wrt v. -36*v**3 - 6*v**2 + 7639 Differentiate 125438*u**2*v + 106515*u**2 with respect to v. 125438*u**2 What is the first derivative of 2*r**3*u - r**2*u - 3*r**2 + 25*r + 262378*u wrt r? 6*r**2*u - 2*r*u - 6*r + 25 Find the second derivative of -53*a**2*r**2 - 109*a**2*r - 501*a*r**2 - a*r - 12*a - 7*r wrt r. -106*a**2 - 1002*a Find the first derivative of 2*m**3*o - 119981*m**3 + 155162*m*o wrt o. 2*m**3 + 155162*m Find the first derivative of -417499*y**3*z**2 - 156*z**2 + 1881*z wrt y. -1252497*y**2*z**2 What is the second derivative of 3227*c**2*r - 8*c**2 - 79*c*r - 5*c + 3*r wrt c? 6454*r - 16 What is the third derivative of -11640*k**3*q**2 + 2*k**3*q + 2*k**3 + k**2*q**2 + 2475*k**2 - 2*k*q + 13*q**2 wrt k? -69840*q**2 + 12*q + 12 Find the first derivative of -3*u**4 + 30*u**2*z + 296*u + 107053*z wrt u. -12*u**3 + 60*u*z + 296 What is the second derivative of 2*p*s**3 + 5*p*s - p - s**3 - 15507*s**2 + 407*s wrt s? 12*p*s - 6*s - 31014 Find the third derivative of 43889*a**4 - 36*a**2 - a + 112. 1053336*a Find the second derivative of 11438*w*z**2 - 48*w*z - 596*w wrt z. 22876*w Find the third derivative of 21958*n**3*t - 31916*n**2 + 2*n*t - 3*t wrt n. 131748*t Find the second derivative of -c*h**2 - 4*c*h + c - 107962*h**2 - 463*h + 74 wrt h. -2*c - 215924 Differentiate -1615529*j**4 + 950366 with respect to j. -6462116*j**3 What is the derivative of 75411*f*j**2 + 4*f*j + 2346797*f + 3*j**2 wrt j? 150822*f*j + 4*f + 6*j Find the second derivative of -1055*k**4 - 9*k**3 - 2*k**2 - 52905*k. -12660*k**2 - 54*k - 4 Differentiate -2*b**2*p + 22805*b*p**3 - 2*b*p - 2*p**3 + 2862*p**2 with respect to b. -4*b*p + 22805*p**3 - 2*p Find the second derivative of -932*t**3*w**2 + 8*t**2*w**3 - t*w**2 + 2*t + 3*w**3 - 3933*w**2 wrt t. -5592*t*w**2 + 16*w**3 What is the third derivative of -1846216*o**5 + 333*o**2 + 2676 wrt o? -110772960*o**2 Find the second derivative of -175*k**5 + 101*k**3 + 42322*k. -3500*k**3 + 606*k Differentiate 144062*a**3*b**2 - 48426*a**3*t - 6*a**2*b**2*t wrt t. -48426*a**3 - 6*a**2*b**2 What is the second derivative of 31*u**5 - u**3 - 57*u**2 + 8859*u + 3? 620*u**3 - 6*u - 114 What is the third derivative of -2*f*u**4 + 64*f*u**3 + 452*f*u**2 + f*u - 7*u**4 + 7*u**3 + 28*u**2 wrt u? -48*f*u + 384*f - 168*u + 42 Find the first derivative of 18*z**4 - 590*z**3 - 2*z**2 - 317343. 72*z**3 - 1770*z**2 - 4*z What is the second derivative of -7034*g**2*n**3 - g*n**3 - 2*g*n + 7576*n**3 wrt g? -14068*n**3 What is the third derivative of -g*v**4 + 357*g*v**3 + 24728*g*v**2 + 298*v**4 + 7*v wrt v? -24*g*v + 2142*g + 7152*v What is the third derivative of -5*p**4 + 7921*p**3 - 293324*p**2? -120*p + 47526 What is the third derivative of -134961*o**4 + 110646*o**2 - 2*o? -3239064*o Differentiate -33613*b + 80498. -33613 What is the second derivative of 57*d**3*t + 7*d**3 + 4*d**2 - 3*d*t + 5*d + 2*t + 6689 wrt d? 342*d*t + 42*d + 8 What is the third derivative of -2964610*t**2*y**6 - 2*t**2*y + 345388*t + 6*y**2 wrt y? -355753200*t**2*y**3 Find the third derivative of 6*f**2*z**5 + 6121*f**2*z**3 + 187*f**2*z**2 - 5*f**2*z - 2*f*z**2 - f*z + 4*z**2 wrt z. 360*f**2*z**2 + 36726*f**2 Find the third derivative of 5587*i*r**3 + 15*i*r**2 - 2*i*r + 5*i + 11*r**3 - 59*r**2 wrt r. 33522*i + 66 Find the second derivative of -p**3*t - 3454*p**2*t - 2*p**2 - 45000*p*t - 2*p wrt p. -6*p*t - 6908*t - 4 Differentiate 11*f*k**3*x + 4*f*k**3 - f*x**3 + 1066*k**3*x**3 - 10*k**2*x**3 wrt f. 11*k**3*x + 4*k**3 - x**3 What is the second derivative of n*v**3 + 5522*n*v**2 - 3*n - 4*v**2 + 18870*v wrt v? 6*n*v + 11044*n - 8 Find the third derivative of 9676*i**5 + 4*i**4 - 12*i**2 - 257. 580560*i**2 + 96*i What is the third derivative of 8645*k**3*s**3*x**3 - 9*k**3*s**2*x**2 + 30*k**2*s**3*x**3 + k**2*s**3*x - 7*k**2*s**2*x**2 - 20*k*s*x wrt k? 51870*s**3*x**3 - 54*s**2*x**2 What is the third derivative of -2*u*v**4 - 302330*u*v**3 + 942601*u - 2*v**2 - 1 wrt v? -48*u*v - 1813980*u What is the second derivative of -114854*b**2 - 20*b + 1131? -229708 What is the second derivative of -8520*o**4 + 97*o**2 - 1727853*o? -102240*o**2 + 194 Find the second derivative of 2953594*f**2 + 1398786*f wrt f. 5907188 Differentiate -666058*d + 6060353. -666058 Find the second derivative of 3*h*j**2 + 47*h*j - 2*h + 144721*j**2 + 7*j + 6 wrt j. 6*h + 289442 Differentiate 854*g**3 + 130*g*l - 2*g + 1034653*l with respect to g. 2562*g**2 + 130*l - 2 What is the third derivative of -20*i**5 - 2786*i**3 + 102*i**2 - 683*i? -1200*i**2 - 16716 Find the second derivative of -578300*f**4 - 1000380*f wrt f. -6939600*f**2 What is the second derivative of 431*y**4 + 12*y**3 + 4*y**2 - 71956*y wrt y? 5172*y**2 + 72*y + 8 What is the first derivative of -345*v*w**2 + 440401*v + 311*w**3 wrt w? -690*v*w + 933*w**2 Find the second derivative of -160*l*m**4*p + 2*l*m**2 + 2*l*m*p + 2*l*m - 604*l*p - 4*l - 519*m**2*p - 2*m*p - p wrt m. -1920*l*m**2*p + 4*l - 1038*p What is the second derivative of -4072*b**5 + 23041*b - 2? -81440*b**3 Find the second derivative of 2307373*l**2*w**4 - 2772062*l**2*w + 2*l*w wrt w. 27688476*l**2*w**2 What is the derivative of 19*a*k**2*n**2 + 92904*a*n**3 - 6*k**2*n**3 - k**2*n**2 - 2*k**2*n - 1295*n**2 - n wrt a? 19*k**2*n**2 + 92904*n**3 What is the derivative of 1810706*m**2 + 1668558? 3621412*m What is the third derivative of -8*n**5 - 324*n**3 + 196134*n**2 wrt n? -480*n**2 - 1944 What is the first derivative of -101802*k**4 - 1357471? -407208*k**3 What is the third derivative of -81*f**4*k**3 - 95*f**4*k**2 + 2*f**2*k**3 - 2*f**2*k**2 - 17*f**2*k + 88*k**2 wrt f? -1944*f*k**3 - 2280*f*k**2 Find the first derivative of -g**2 + 9444*g + 65384 wrt g. -2*g + 9444 What is the second derivative of 109150*m**2 + 1157*m + 1 wrt m? 218300 Find the second derivative of 2122372*q**2*w + 14887*q + 49*w wrt q. 4244744*w Find the second derivative of -45811*k**3 - 4085*k. -274866*k Find the first derivative of -131*m**3*n**2 + 28*m**3*n + 16110*m**3 + 2*m wrt n. -262*m**3*n + 28*m**3 Find the first derivative of -1723164*d - 2050781 wrt d. -1723164 Find the second derivative of 128*a**5*f - 9*a**3*f**2 + 4*a**2 - 4*a*f**2 - 2*a*f - 754*a wrt a. 2560*a**3*f - 54*a*f**2 + 8 Find the second derivative of -96306*b**2*l + 5*b**2*t**3 - 4*b*l*t + 77*b*t - 5*t**3 wrt b. -192612*l + 10*t**3 What is the derivative of -30*d**2 + 147*d*p**2 + 210*p**2 - 41*p wrt d? -60*d + 147*p**2 What is the second derivative of 175049*u**3 + 124934*u + 1? 1050294*u Find the first derivative of 1186553*q*r - 1898268*q wrt r. 1186553*q Differentiate -72037*s**2 - 70617. -144074*s Find the third derivative of a**3*k*w**2*z + 7*a**3*k - 53*a**3*w*z - 2*a**2*k*w**2 + 2*a**2*k*w*z + 9*a**2*k + 242*a**2 + k*w**2*z - k*w - 4*w**2*z wrt a. 6*k*w**2*z + 42*k - 318*w*z Find the first derivative of -1157143*k**4 + 1157216 wrt k. -4628572*k**3 Find the first derivative of -j**2*x**2 - 123653*j**2 + 19367*x + 5 wrt x. -2*j**2*x + 19367 Find the third derivative of -2070463*x**4 + 586606*x**2 wrt x. -49691112*x Find the second derivative of r**2*w**2 - 5*r**2 - 417*r*w - 2*r - 148256*w**2 - 2*w - 1 wrt w. 2*r**2 - 296512 Differentiate -7*m*s*u**3 - 27215*m*u**2 - 3*s*u - s + 71903*u**3 with respect to m. -7*s*u**3 - 27215*u**2 What is the second derivative of u**4 + 1113374*u**2*v - 217*u*v + u + 3*v - 90 wrt u? 12*u**2 + 2226748*v What is the second derivative of -13500*r**3 + 6580*r? -81000*r Find the third derivative of -34*t**3*z**2 - 161*t**3 + 4*t**2*z**2 - 2*t**2 - 154*t*z**2 - 3*t*z wrt t. -204*z**2 - 966 Find the third derivative of -1724552*x**3 - 4*x**2 + 20*x + 2229. -10347312 What is the first derivative of -4341190*t**2 - 782424? -8682380*t Find the second derivative of 1078*b**3*k**2 + 2*b**3*k - 37*b**3 + 2*b**2*k + 51*b*k - 14*k**2 + 2*k wrt k. 2156*b**3 - 28 Find the third derivative of q**5 + q**4 - 1449*q**3 + 3549*q**2 - 2*q + 35. 60*q**2 + 24*q - 8694 Find the first derivative of 5*h*q**2*z - 132*h*q*z**2 - 874*h - 38*q**2*z + 53*q**2 - 1 wrt z. 5*h*q**2 - 264*h*q
{ "pile_set_name": "DM Mathematics" }
se n = -2*f + 6*f - 48. Calculate the lowest common multiple of 16 and f. 48 Let s(u) = -u**3 + 12*u**2 + 14*u + 27. Let p(n) = 4*n - 11. Let d be p(6). Let q be s(d). Find the common denominator of 12/(-30) + 221/q and -99/2. 8 Let w = -11 + 11. Suppose -2*c = -n - 14, w*n - 2*n = -2*c + 16. What is the smallest common multiple of c and 16? 48 Calculate the lowest common multiple of 6 and (76/8 - -2) + (-6)/4. 30 Suppose -d + 91 = -5*z, -z = -2*z - 2*d - 16. Calculate the common denominator of (9/z)/((-13)/(-50)) and (106/22)/(-3 - -4). 143 Let g(j) = j**3 + 4*j**2 + 14*j + 62. What is the lowest common multiple of g(-4) and 9? 18 Let j(t) = -22*t + 1. What is the common denominator of -8*39*(-3)/(-90) and j(2)? 5 Suppose -4*v = -2 - 26. Let y(l) = -l**2 - 8*l - 5. Let p(b) = b**3 - 18*b**2 - 5. Let t be p(18). What is the least common multiple of y(t) and v? 70 Suppose 5*s + 9 = -1. Suppose -5*k + 9*k + 4*k = 0. What is the common denominator of -26/7 and k + s + (-162)/8? 28 Let g = 1721/4 - 414. What is the common denominator of g and 83/6? 12 Let k = -26 + 18. Find the common denominator of 46/9 and k/12*1212/(-80). 90 Let m = -7 - -9. Let i(u) = -8 - u - 14*u**m - 12 + u**3 + 4*u. Calculate the smallest common multiple of i(14) and 20. 220 Let t = -4108 + 4131. Suppose -2*u - 4*m + 17 = 3*u, 2*u - 20 = 5*m. Calculate the least common multiple of u and t. 115 Let j = -11555/14656 + 41/229. Find the common denominator of -115/14 and j. 448 Let v = 274705 - 65929019/240. What is the common denominator of v and -121/300? 1200 Calculate the common denominator of (-8136)/(-13000) - (-4)/(-130)*5 and -21/10. 250 Let y = -15908242 + 4199769877/264. Let z be (-44)/55 - (-1031)/1320. Let r = z - y. Calculate the common denominator of -13/8 and r. 8 Let t be (-3)/(-4) - 138/(-8). Suppose 3*w + 27 = -t. Find the common denominator of -83/4 and (14/w)/(12/10). 36 Calculate the common denominator of 25/16 and 629/(-90) + 21/35. 144 Calculate the lowest common multiple of (90/35)/((-295)/(-70) + -4) and -4 + 2 - 14/(-1). 12 Let x(m) = 3*m**3 + 2*m**2 + 3*m + 2. Let q be x(-1). Let b = -3463/4 - -860. Calculate the common denominator of b and q/(-3)*414/(-60). 20 Calculate the lowest common multiple of -1 + (-10 - -496) - -13 and 5. 2490 What is the common denominator of (43/(-15))/((-6)/(-5)) and ((-99)/18 + 8)*505/(-150)? 36 Let l be (-4)/(-16) - 27/12. Let w be 4 - l/(-4)*0. Let v(i) = i. What is the smallest common multiple of 14 and v(w)? 28 Suppose 15 = 3*v - 5*p, -2*p - 11 = 3*v - 47. Calculate the common denominator of (5/v)/((-3)/(357/(-5))) and -25/11. 110 Let b be (-1)/(4/8) - 24401/(-16). Let c = 1527 - b. Find the common denominator of -47/9 and c. 144 Let c = 11/16578 - 534943/455895. Find the common denominator of -73/66 and c. 330 Suppose -92*n + 86*n + 60 = 0. What is the least common multiple of n and 107? 1070 Suppose 49 = 12*z - 1175. Calculate the smallest common multiple of z and 12. 204 Let k = -1688732413/406854 - 307/22603. Let m = k - -4148. Find the common denominator of m and 4 + -2 - (-2)/28. 126 Suppose 33 = o - 3*t + 8, 5*t = -25. Calculate the lowest common multiple of o and 19. 190 Let r = -3 - -7. Let o = -66 - -73. Calculate the least common multiple of o and r. 28 Find the common denominator of -5/56 and (-7*(-4)/(-128))/((-33)/(-308)). 168 Let y(d) = -3*d - 8. Let g be y(-22). Let q = g + -42. What is the lowest common multiple of q and 10? 80 Let b = 12 + -7. Find the common denominator of -1 - ((-335)/4)/b and 16/(-9) - 3 - (-9)/27. 36 Calculate the common denominator of 452/(-120) - 4/30 and -6. 10 Let x = -677 - -690. Let b(d) = -3*d**3 + d + 1. Calculate the least common multiple of x and b(-1). 39 Let h = -19 + 82. Calculate the smallest common multiple of h and -38 + 35 + (2 - -34). 693 Let q be 70/6 + (-2)/(-6). Let h = q - 3. What is the lowest common multiple of h and 8? 72 Let i(h) = -h**2 + 5*h + 30. Let g be i(10). What is the lowest common multiple of 10*1 + (-2 - -1) and 7 - (8 - g/(-5))? 9 Suppose 2*v + r = -25, 5*v + 2*r + 58 = 4*r. Let j be (-8*5)/((-3)/(-3)). Let g = v - j. Calculate the lowest common multiple of 6 and g. 84 Let z(r) = -4*r + 19. Let g(k) = 2*k - 11. Calculate the lowest common multiple of z(4) and g(10). 9 Let k = 74 - 31. Suppose -4*x + k + 33 = 3*o, 4*o - 76 = x. Calculate the smallest common multiple of o and 2/8 + 142/8. 180 What is the common denominator of ((-4)/100)/(2/285) and (-26)/(-416) - 1302/96? 10 Let j = 130 - 121. Suppose 0 = 4*c - 5 + 17. Let o(v) = -v**2 - 6*v. What is the least common multiple of j and o(c)? 9 Suppose -32 = 28*l - 32*l. Calculate the lowest common multiple of 402 and l. 1608 Let i(j) = -3*j**2 + 2*j + 4. Let u be i(-2). Calculate the lowest common multiple of u/((-3)/(-3) - 6/4) and 18. 72 Suppose -3*n = -2*y - 201, -3*n + 377 + 130 = -5*y. Let w = 129 + y. What is the lowest common multiple of w and 3? 27 Let i be ((-18)/4)/((-39)/52). Let v be 36/(-10) + i/10. Calculate the common denominator of 83/6 and (1/v)/(4/354). 6 Suppose 642 = -g + 682. Calculate the lowest common multiple of g and 4. 40 Let v(q) = q**3 - 25*q**2 - 54*q - 4. Let h be v(27). Calculate the lowest common multiple of h/((32/21)/(-8)) and 12. 84 Suppose 33*t - 127 + 28 = 0. Suppose g + 2*f = 14, 4*g - 2*f - 89 = f. What is the least common multiple of g and t? 60 Find the common denominator of 168/(-24) + 1530/248 and -57/4. 124 Calculate the common denominator of -87/8 and (-2)/(-18) + (-1415)/180. 8 Let z = -20/193 + 10063/2123. What is the common denominator of z and 29/707? 7777 Suppose 4*g - 3*m = 14, 0 = -2*g + m - 3*m. Let p be (-8)/(-3)*(-21)/g. Let x = p + 32. Calculate the least common multiple of 1 and x. 4 Suppose t - 4*k + 15 = 0, -1 = -4*t - 2*k + 11. Let p(w) = w**3 - 8*w**2 + 8*w - 3. What is the lowest common multiple of p(7) and 6*1 + (1 + 0)*t? 28 Let n(h) be the third derivative of h**5/60 + h**3/6 + 5*h**2. Let o be n(1). Calculate the least common multiple of o + -2*(-3 - 1) and 6. 30 Let t = 24 - 24. Suppose -5*j = -0*i - i, 2*i - 2*j - 8 = t. Calculate the smallest common multiple of 20 and i. 20 What is the lowest common multiple of 3*7*(-54 - -55) and 21? 21 Let m = 28822 - 1037729/36. What is the common denominator of -5/12 and m? 36 Let k be (-2)/11 + 92/22. What is the lowest common multiple of (-1 - -2)/((-19)/(-304)) and 48/2*2/k? 48 Suppose -132 = -165*h + 153*h. Calculate the smallest common multiple of h and 27. 297 Suppose -3*x + 0*x = -72. Let m be x*(13/3 - 3). Let d = -12 + m. Calculate the least common multiple of d and 4. 20 Calculate the common denominator of (-68)/(-14)*(-21)/14 and -8/105. 105 Let y(j) = j**3 - 34*j**2 - 106*j - 73. What is the least common multiple of 18 and y(37)? 1008 Let q be 641799/2*2/42. Let i = q - 15289. Calculate the common denominator of i and 422/132 - (-14)/21. 154 What is the common denominator of 7/2 and (-178514)/10556 + 4 + 13? 754 Let z = 1/333 - -12977/3330. Calculate the common denominator of 63/20 and z. 20 Let k = 53390 + -10571105/198. Calculate the common denominator of (-148)/(-40) + (-9)/(-15) and k. 990 Find the common denominator of 87/178 and 71/18*(5 + (-28)/8). 1068 Let r = 27835/11 + -2533. Calculate the common denominator of -41/77 and r. 77 Suppose 5*g - 10755 = 17*u - 22*u, u - 5*g - 2133 = 0. What is the least common multiple of 22 and u? 23628 Let h = -40141/43764 + 2/3647. Calculate the common denominator of ((-321)/(-66)*-1)/1 and h. 132 Let j = 885 - 847. What is the least common multiple of j and 209? 418 Let q be 2/(2/(-3)) + 7. Suppose 48 = 3*j + 3*m, -2*j + m = q*m - 35. Let l(k) = k. Calculate the lowest common multiple of j and l(2). 26 Let b(h) = h - 4. Let x(l) = 8*l**2 - 16*l + 4*l + 11*l. Let v be x(-1). Calculate the lowest common multiple of 7 and b(v). 35 Let g(w) = 6*w - 33. Calculate the smallest common multiple of 27 and g(8). 135 Let a = -5415869/1898322 + 2/55833. What is the common denominator of a and -55/4? 68 Let c(u) = -17*u - 50. Suppose 5*k - 7*k = 2. What is the smallest common multiple of c(-3) and (-1 - 1) + (-9)/k? 7 Let b = 25 - 9. Suppose 3*d - b = -d. Suppose 0 = 4*m - 7 - 17. What is the smallest common multiple of m and d? 12 Let z(r) =
{ "pile_set_name": "DM Mathematics" }
**(3/2)*t**3/t) assuming t is positive. t**(-19/2) Simplify ((r*r**(-1))**(2/41))**(2/119) assuming r is positive. 1 Simplify ((w*w*w**(-3))/(w/(((w**(-2/11)/w)/w)/w*w)))**(-18/7) assuming w is positive. w**(828/77) Simplify (f**(-1/3)*f**5)/(f**0)**(-36) assuming f is positive. f**(14/3) Simplify (a/(a/(a*a/(((a**9/a)/a)/a)*a))*a**(-12)*a)**21 assuming a is positive. a**(-294) Simplify ((z/z**(-2/7)*z*z)**50)**(1/49) assuming z is positive. z**(1150/343) Simplify n**3/((n/n**(10/7)*n)/n*n) assuming n is positive. n**(17/7) Simplify (s**(4/11)/s)/((s*s/(s/s**(1/5))*s)/s) assuming s is positive. s**(-101/55) Simplify (((j*j*j*j/(j/(j/((j/j**4)/j)))*j*j*j)/j)/(j/j**(-1/4)))/(j*j**(-6)/j*j**(-5)) assuming j is positive. j**(79/4) Simplify (c*c/(c/(((c/c**(2/5))/c)/c*c)*c)*c/c**(-8))**(-42) assuming c is positive. c**(-1806/5) Simplify q**1/(q**(-7)*q)*q*q*q**(-2)/q*q**(1/2)*q assuming q is positive. q**(15/2) Simplify m**(1/2)/((m**(-3)*m)/m)*m/m**(2/15)*m**(1/3) assuming m is positive. m**(47/10) Simplify ((m*m**1)/(m/(m/(m**(-2/9)*m))))/(m**(-2/7))**(1/69) assuming m is positive. m**(1777/1449) Simplify (x**6*x)/(x/(x/((x*x/(x/(x*x/((x**(-2/33)*x*x)/x*x)))*x)/x))) assuming x is positive. x**(196/33) Simplify (d**6/(((d**(-5)/d)/d)/d))**(-4) assuming d is positive. d**(-56) Simplify (a**(-5/4)/a*a**1)**5 assuming a is positive. a**(-25/4) Simplify ((j*j**8)/j**(-2/11))/(j**(-2/7)*j)**(-20) assuming j is positive. j**(1807/77) Simplify u**7*u*u**(-4)*(u*(u*u**5*u)/u)/u*u**(-8) assuming u is positive. u**2 Simplify i*i*i/i**(-25)*(i*i**(-25))/i assuming i is positive. i**3 Simplify (((y/y**(-4/7))/y*y)/(y*y**(-8)*y))**48 assuming y is positive. y**(2544/7) Simplify (s**(-2/5)/(s**(-2/15)*s))**(16/5) assuming s is positive. s**(-304/75) Simplify q**(-17)/q*q**(7/2) assuming q is positive. q**(-29/2) Simplify v/v**(2/13)*v*v**(2/87) assuming v is positive. v**(2114/1131) Simplify (f*f*f**22)/((f*f*f/(f/f**(-9)))/f*f*f*f) assuming f is positive. f**29 Simplify (g**11*g**9)**(-47) assuming g is positive. g**(-940) Simplify (m/(m*m*(m/(m*(m**(-1)/m)/m))/m))**(-5/7)*m**(-4)/(m/m**(-5)) assuming m is positive. m**(-55/7) Simplify o**(3/4)/(o*o**(-8)*o)*o/(o/(o*o/(o*o**(-1/8))*o*o*o))*o*o*o*o**(-2/7)*o assuming o is positive. o**(817/56) Simplify (a**(11/2))**35 assuming a is positive. a**(385/2) Simplify ((m**1/m)/m)**2*m*m*(m/(m**(-4/7)*m))/m*m*m*m*m*m/(m*m**(-2/3)) assuming m is positive. m**(89/21) Simplify (((f/f**(1/3)*f*f)/f)/(f/f**(1/4)))**(-4/13) assuming f is positive. f**(-11/39) Simplify m**(-4)*m/((m/m**(5/4))/m)*((m**(2/7)/m*m*m)/m)**(-4/21) assuming m is positive. m**(-1061/588) Simplify c**6*(c**6*c)/c*(c**(-4/9)/c)/(c/(c**4/c*c)) assuming c is positive. c**(122/9) Simplify p**(5/4)/(((p**(-2/41)*p*p)/p)/p) assuming p is positive. p**(213/164) Simplify (o**(-4))**39 assuming o is positive. o**(-156) Simplify ((p**(2/7)*p)/p*(p*(p*(p/p**(-1))/p)/p)/p)**(-8) assuming p is positive. p**(-72/7) Simplify (k*k**31)/k*k*k*k/k**(-32) assuming k is positive. k**66 Simplify (b**(3/2)*b**6)**(1/36) assuming b is positive. b**(5/24) Simplify r**(-9/2)*r*r**17 assuming r is positive. r**(27/2) Simplify (b/(b*b**(2/9)*b))**18 assuming b is positive. b**(-22) Simplify ((u/(u/u**10))/u*u)/u**(-2/17) assuming u is positive. u**(172/17) Simplify (c**3/(c**(2/7)*c))**0 assuming c is positive. 1 Simplify t*t/(t*t/(t/((t*t**(-1))/t*t)))*t**(3/4)/t*(t**(-2/7))**(12/5) assuming t is positive. t**(9/140) Simplify (q/((q/(q**8*q*q))/q))/((q*(q*q**(-5))/q)/q)*(q/q**(1/3))**(2/3) assuming q is positive. q**(148/9) Simplify (((((t**(-4/5)*t)/t)/t)/t)/t)/(t**(-24)*t) assuming t is positive. t**(96/5) Simplify (h**(-10/11)*h**2)**(19/5) assuming h is positive. h**(228/55) Simplify (a*a/(a**(-5)/a))/a**(-7/3)*(a**(2/3))**(-2/15) assuming a is positive. a**(461/45) Simplify ((m**1/m)/m**(-4/3))/(m/(m*m*m*m*m/(m/((m**(-1)/m)/m))*m))**(-18/7) assuming m is positive. m**(-26/21) Simplify u**(2/3)*u*u/u**(1/6)*u**(-1/10)/(u*u**(4/3)/u) assuming u is positive. u**(16/15) Simplify ((l/(l/l**0))**38)**(-6/13) assuming l is positive. 1 Simplify s**(-1/2)*s*s*s**(8/7)*s assuming s is positive. s**(51/14) Simplify (x**(-28)*x)/(x*x**(-3/19)*x) assuming x is positive. x**(-548/19) Simplify (o*o**0*o)**(3/8)*o**(-4/9)*o*(o*o**(-2))/o assuming o is positive. o**(-25/36) Simplify q**7*q*(q*q**2/q*q)/q*(q**2)**(-1) assuming q is positive. q**8 Simplify (w**8*w**(2/13))**48 assuming w is positive. w**(5088/13) Simplify ((m*m*m/m**0*m*m*m)/m)**30/((m**(-3/5)*m)/(m**(-6)*m)) assuming m is positive. m**(723/5) Simplify (((z/(z**5*z*z))/z)/(z/z**(-5)))**(-35) assuming z is positive. z**455 Simplify a**(-3)*a*a**(-1)*a**(-5)*a*a/(a*a**2)*a*a assuming a is positive. a**(-7) Simplify ((u*u**5)/u**(-1/6))/(u**(-1/4)/u)**(-7) assuming u is positive. u**(-31/12) Simplify (b*b*b**35*b*b)/(b/(b*(b/b**(3/7))/b*b*b*b)) assuming b is positive. b**(291/7) Simplify (c**0)**(1/35)/(c/c**1)**(5/9) assuming c is positive. 1 Simplify q**(-20)*q/q**27 assuming q is positive. q**(-46) Simplify (h**(-5/4))**(3/4) assuming h is positive. h**(-15/16) Simplify i**(-5/3)*i**(-14) assuming i is positive. i**(-47/3) Simplify ((k**(-1/5)*k)**(-17))**(-20) assuming k is positive. k**272 Simplify ((f**(-9)*f*f)/f)/f*(f*(f/(f/f**(-2/67)))/f)/f assuming f is positive. f**(-672/67) Simplify a*a*a**3*a*a**(-2/41) assuming a is positive. a**(244/41) Simplify ((y*y**(-6)/y)/y**(-5/2))/(y**2*y*(y*y/y**(-1))/y*y) assuming y is positive. y**(-19/2) Simplify (q*q*q*q**(4/7)*q*q*q**(-7)/q)/(q**(-8)*((q/((q**(3/5)*q)/q)*q)/q)/q) assuming q is positive. q**(216/35) Simplify (z*z**(-6))/z**(4/3)*z**(-2)/((z/(z**(-2/21)/z*z*z)*z)/z) assuming z is positive. z**(-59/7) Simplify (((j*j**2)/j)**(45/2))**(-34) assuming j is positive. j**(-1530) Simplify y**(-2/27)*y**(-3)*(y**(1/17)*y)/(y*y**(5/2)) assuming y is positive. y**(-5063/918) Simplify (a**(-3/2)/a**(-2))/((((a**(-2/7)/a)/a)/a)/a**(3/4)) assuming a is positive. a**(127/28) Simplify (u**(-2/3)*u)**(6/13)*u*u*u**9*u**(3/8) assuming u is positive. u**(1199/104) Simplify ((j*j**2)**(1/7))**(2/25) assuming j is positive. j**(6/175) Simplify c**27*c*(((c/c**(-1/13))/c)/c)/c assuming c is positive. c**(339/13) Simplify f**(-19)/f**37 assuming f is positive. f**(-56) Simplify (o/o**(-3/4))**(-2) assuming o is positive. o**(-7/2) Simplify w/(w/w**25)*w**(-1) assuming w is positive. w**24 Simplify ((a**(-1/8)/a)/(a*a**(-6)))/(a**0*a**(1/6)) assuming a is positive. a**(89/24) Simplify (g*g/(g*g/((g**(-6/5)/g)/g)))/(g**(4/5)*g)*(g**(-1))**(-13) assuming g is positive. g**8 Simplify c**(1/6)*c**(2/35) assuming c is positive. c**(47/210) Simplify (((i*i**(-1/2))/i*i*i*i)/i)**(-1/50)*i**6/i**(-3) assuming i is positive. i**(897/100) Simplify (d**3/d**(1/3))/(d*d**(-4)*d*d**(-1/3)) assuming d is positive. d**5 Simplify (l**(1/2)*l)**(-5/2)*(l*l*l**(-1)*l*l)**2 assuming l is positive. l**(9/4) Simplify ((w/w**(1/4))/w)**(-39)/((w/(w**(-1)/w))/w)**(-48) assuming w is positive. w**(423/4) Simplify ((b*b**(3/4)*b)/b*b*b**(-2))/(b**0/b)**(-2) assuming b is positive. b**(-5/4) Simplify z*((z/(z*z**(-4/5)))/z)/z*z**(-4/3)*(z*z*z**3*z*z)/z*z*z**(-1/8) assuming z is positive. z**(641/120) Simplify k/k**1*k**(-2/21)*k*(k**(-1/8)*k)/k*k**(1/7) assuming k is positive. k**(155/168) Simplify (w**(3/4)/(w/(w/(w/(w/(w**(-1/4)*w))))))/(w/w**0*w*w)**(-9/5) assuming w is positive. w**(27/5) Simplify z*z*((z**(-6)/z)/z)/z*z*z*z*z**(-18/11)*z assuming z is positive. z**(-51/11) Simplify (t**1)**(-6/13)/(t**1)**(10/3) assuming t is positive. t**(-148/39) Simplify (u/(u*(u*u**(-6/11))/u)*u)**31 assuming u is positive. u**(527/11) Simplify ((d/d**(-1/6))/d*d**(-2/11))**(2/79) assuming d is positive. d**(-1/2607) Simplify (y**(-2)/y)/(y*y/y**5)*y/(y**(-2/11)/y)*y**(-1/5) assuming y is positive. y**(109/55) Simplify h**(-1/2)/h**(-4)*(h*h**(2/9))**47 assuming h is positive. h**(1097/18) Simplify ((p**4/p*p)/(p*p**7))/((p*p**7)/p*p*p/p**3) assuming p is positive. p**(-10) Simplify (c*c**1/c)**(-1/16)*c*(((c*c**(-7)*c)/c)/c)/c*(c*(c/(c**8*c)*c)/c*c*c)/c assuming c is positive. c**(-209/16) Simplify ((i/(i/((i*i/(i*i**1)*i)/i)))/i)**(-25)*(i/i**(2/3))/i**7 assuming i is positive. i**(55/3) Simplify ((x**(-1))**(-27/2)
{ "pile_set_name": "DM Mathematics" }
d without replacement from xqxqxxqxxxx. 7/165 Calculate prob of sequence xf when two letters picked without replacement from fxxxxfxxfxxfxxffxx. 4/17 Calculate prob of sequence wul when three letters picked without replacement from {w: 2, k: 1, u: 1, l: 1}. 1/30 What is prob of sequence fx when two letters picked without replacement from jjfffffjjfx? 3/55 Calculate prob of sequence oo when two letters picked without replacement from {o: 5, c: 3, l: 7, a: 1}. 1/12 Three letters picked without replacement from {c: 6, u: 6}. What is prob of sequence ucu? 3/22 Three letters picked without replacement from {b: 1, l: 1, u: 2, i: 3, m: 3, v: 2}. What is prob of sequence ibm? 3/440 What is prob of sequence mmm when three letters picked without replacement from mjwjwmmj? 1/56 What is prob of sequence kil when three letters picked without replacement from {i: 2, k: 2, a: 2, l: 2}? 1/42 Three letters picked without replacement from {f: 5, v: 2, t: 2, r: 1, m: 4}. Give prob of sequence trf. 5/1092 Four letters picked without replacement from qppnnppnq. Give prob of sequence nnqp. 1/63 What is prob of sequence ulu when three letters picked without replacement from ulluul? 3/20 Calculate prob of sequence exh when three letters picked without replacement from {h: 3, k: 1, e: 3, x: 4}. 2/55 Two letters picked without replacement from crrzioh. What is prob of sequence rc? 1/21 Calculate prob of sequence bdu when three letters picked without replacement from {b: 1, m: 2, d: 1, u: 2}. 1/60 Calculate prob of sequence obnb when four letters picked without replacement from {d: 3, n: 4, b: 2, o: 5, v: 5}. 5/11628 What is prob of sequence eu when two letters picked without replacement from iiutergu? 1/28 What is prob of sequence wxx when three letters picked without replacement from uwxwxxuxxccxcwxxc? 7/170 What is prob of sequence fj when two letters picked without replacement from pererjfjjgrjrre? 2/105 Calculate prob of sequence ssza when four letters picked without replacement from {u: 4, z: 3, j: 2, s: 7, a: 3}. 21/5168 Two letters picked without replacement from fnfnsnnnff. Give prob of sequence fn. 2/9 What is prob of sequence bsl when three letters picked without replacement from uluuslusb? 1/126 Three letters picked without replacement from rrozzobrroahrobo. What is prob of sequence aro? 5/672 Two letters picked without replacement from {m: 1, n: 2, i: 2, o: 1}. What is prob of sequence om? 1/30 What is prob of sequence zxz when three letters picked without replacement from {f: 10, z: 5, x: 4}? 40/2907 Two letters picked without replacement from qqcgpgxqq. Give prob of sequence qq. 1/6 What is prob of sequence lmd when three letters picked without replacement from {v: 2, q: 2, t: 1, m: 1, d: 1, l: 1}? 1/336 Three letters picked without replacement from nnxrn. Give prob of sequence xnr. 1/20 Four letters picked without replacement from ttkteerteketetrtttk. Give prob of sequence tttk. 21/1292 What is prob of sequence clcl when four letters picked without replacement from {l: 9, c: 10}? 45/646 What is prob of sequence qg when two letters picked without replacement from gyyqqgygqgq? 8/55 Calculate prob of sequence rr when two letters picked without replacement from {b: 4, z: 1, d: 1, r: 4}. 2/15 Three letters picked without replacement from hwwween. Give prob of sequence nhe. 1/105 What is prob of sequence kv when two letters picked without replacement from kuukukkkvuk? 3/55 Three letters picked without replacement from {e: 8, s: 2, w: 1, f: 7, n: 1}. Give prob of sequence sfe. 56/2907 Two letters picked without replacement from jkkvjjkj. What is prob of sequence jk? 3/14 Four letters picked without replacement from {w: 7, b: 3, s: 1, p: 5}. What is prob of sequence wwpp? 1/52 Two letters picked without replacement from gglggllllggllg. Give prob of sequence lg. 7/26 Two letters picked without replacement from {f: 2, o: 1}. Give prob of sequence fo. 1/3 Four letters picked without replacement from {a: 2, u: 4}. Give prob of sequence auuu. 2/15 Calculate prob of sequence uuni when four letters picked without replacement from {n: 2, i: 4, u: 2}. 1/105 Two letters picked without replacement from {y: 3, a: 4, m: 4, f: 4}. What is prob of sequence ay? 2/35 What is prob of sequence zph when three letters picked without replacement from {h: 1, p: 2, a: 5, e: 6, m: 1, z: 1}? 1/1680 What is prob of sequence gy when two letters picked without replacement from {y: 4, z: 1, g: 3, c: 7, i: 1, b: 4}? 3/95 What is prob of sequence ugg when three letters picked without replacement from vuvgvggvvggvvvguou? 5/272 What is prob of sequence pl when two letters picked without replacement from {m: 4, q: 8, p: 3, l: 4}? 2/57 What is prob of sequence oo when two letters picked without replacement from {o: 4, d: 2, t: 1, p: 2}? 1/6 Four letters picked without replacement from kafkfaklllkklkkklkkk. What is prob of sequence kalf? 11/5814 Calculate prob of sequence oxox when four letters picked without replacement from {o: 12, x: 6}. 11/204 What is prob of sequence wzw when three letters picked without replacement from {z: 2, w: 4, e: 6, x: 3}? 4/455 Four letters picked without replacement from {g: 3, k: 5}. Give prob of sequence gkgg. 1/56 Two letters picked without replacement from {d: 1, c: 2, u: 2}. Give prob of sequence du. 1/10 What is prob of sequence fft when three letters picked without replacement from {f: 3, t: 4, j: 3, w: 4, u: 1, v: 2}? 1/170 Four letters picked without replacement from {q: 5}. Give prob of sequence qqqq. 1 Four letters picked without replacement from wsjyzowzowws. What is prob of sequence ojsz? 1/1485 Two letters picked without replacement from {d: 4, u: 1, v: 3, s: 2}. What is prob of sequence vv? 1/15 Two letters picked without replacement from byqubybujjbbuu. What is prob of sequence yu? 4/91 Four letters picked without replacement from {a: 4}. Give prob of sequence aaaa. 1 What is prob of sequence cve when three letters picked without replacement from eveecqke? 1/84 What is prob of sequence hih when three letters picked without replacement from {c: 1, h: 5, i: 3}? 5/42 What is prob of sequence gigg when four letters picked without replacement from {g: 3, i: 3}? 1/20 Calculate prob of sequence xaya when four letters picked without replacement from cayyrxyyyyyyca. 2/3003 What is prob of sequence hyi when three letters picked without replacement from {i: 2, y: 4, g: 1, h: 3}? 1/30 Calculate prob of sequence zje when three letters picked without replacement from jezjjpp. 1/70 Two letters picked without replacement from nbyiibbybnbboioni. Give prob of sequence oi. 1/34 What is prob of sequence cb when two letters picked without replacement from {c: 2, b: 1}? 1/3 What is prob of sequence kk when two letters picked without replacement from kkkkkkkkkkekkkk? 13/15 Two letters picked without replacement from {i: 7, k: 5, a: 1, z: 1}. Give prob of sequence ii. 3/13 What is prob of sequence pf when two letters picked without replacement from {f: 7, m: 3, p: 1, y: 5}? 7/240 Calculate prob of sequence zb when two letters picked without replacement from {x: 1, z: 1, b: 1}. 1/6 Calculate prob of sequence xrp when three letters picked without replacement from xrfxmbmxpfxp. 1/165 What is prob of sequence fbf when three letters picked without replacement from {b: 3, f: 4, e: 2}? 1/14 Two letters picked without replacement from otoboxbrbbbxtb. Give prob of sequence xr. 1/91 Three letters picked without replacement from {n: 11, d: 3, k: 3, w: 2}. Give prob of sequence ndk. 11/646 What is prob of sequence ll when two letters picked without replacement from xlxlxxxxxxlllxxxxxx? 10/171 Three letters picked without replacement from {j: 3, x: 1, d: 5}. Give prob of sequence xjd. 5/168 Three letters picked without replacement from ueuljejece. Give prob of sequence jje. 1/90 Two letters picked without replacement from igimiwwiiiwiiiw. Give prob of sequence mg. 1/210 Four letters picked without replacement from tttxxbxbxbxotoxbxxx. Give prob of sequence ttxt. 3/1292 What is prob of sequence ooow when four letters picked without replacement from {o: 5, w: 2}? 1/7 Three letters picked without replacement from {h: 2, z: 1, t: 5, d: 1}. Give prob of sequence zhd. 1/252 What is prob of
{ "pile_set_name": "DM Mathematics" }
e 5) to base 2. 110000100110 Convert -a3 (base 15) to base 9. -180 645 (base 7) to base 5 2302 -921 (base 11) to base 9 -1465 351 (base 7) to base 8 267 What is -6475 (base 12) in base 2? -10101100011001 What is 22001 (base 4) in base 2? 1010000001 Convert 4242 (base 7) to base 2. 10111011100 Convert 1000011001100 (base 2) to base 5. 114200 What is -c6c (base 14) in base 2? -100110010000 What is 12321200 (base 4) in base 6? 334452 19c (base 14) to base 12 23a Convert -13545 (base 16) to base 10. -79173 What is -121222 (base 3) in base 2? -111001010 21111 (base 5) to base 14 726 2 (base 3) to base 9 2 Convert 33025 (base 7) to base 5. 231001 What is -76 (base 13) in base 10? -97 Convert -1305232 (base 6) to base 2. -10001010111110100 Convert -2356 (base 7) to base 5. -11444 10122 (base 4) to base 3 101110 2723 (base 10) to base 6 20335 What is -234 (base 12) in base 6? -1304 Convert -1b39 (base 12) to base 8. -6435 What is -45232 (base 9) in base 2? -111010110000000 What is 554540 (base 6) in base 15? db53 What is -5ba9 (base 14) in base 12? -9335 Convert 877 (base 13) to base 12. a0a Convert 1111110111011 (base 2) to base 4. 1332323 Convert b4b (base 13) to base 14. 9b4 Convert -81 (base 16) to base 3. -11210 Convert 89a (base 14) to base 5. 23304 What is 411 (base 12) in base 2? 1001001101 What is 111010110001001 (base 2) in base 14? ad73 What is 405 (base 10) in base 16? 195 What is -710 (base 8) in base 2? -111001000 What is 235 (base 12) in base 5? 2304 Convert -102200022 (base 3) to base 13. -3b4b Convert -3575 (base 8) to base 7. -5406 -151340 (base 6) to base 13 -6855 -8d (base 16) to base 12 -b9 Convert -15d (base 14) to base 6. -1143 Convert 67c6 (base 14) to base 11. 12593 Convert -211112110 (base 3) to base 2. -100000000101100 Convert 313 (base 16) to base 3. 1002011 What is 23030 (base 4) in base 14? 392 What is 145a (base 12) in base 9? 3227 What is -13221332 (base 4) in base 16? -7a7e What is -33c (base 15) in base 6? -3220 What is -1001110110100 (base 2) in base 3? -20220211 What is 1793c (base 13) in base 14? 1282c -215015 (base 6) to base 12 -a46b d5e7 (base 16) to base 8 152747 104 (base 11) to base 5 1000 6a92 (base 11) to base 6 111013 Convert -34331 (base 8) to base 15. -44a3 What is -1023 (base 4) in base 8? -113 Convert 1000010111010111 (base 2) to base 4. 20113113 -196 (base 13) to base 9 -354 c5c (base 13) to base 6 13425 Convert -2030 (base 14) to base 7. -22060 What is -6b04 (base 12) in base 5? -340311 -6033 (base 7) to base 3 -2212010 Convert -20010032 (base 4) to base 7. -165215 What is 177 (base 16) in base 15? 1a0 632 (base 8) to base 13 257 What is 431323 (base 5) in base 15? 44c8 What is 4065 (base 14) in base 9? 16154 Convert -14015 (base 6) to base 8. -4173 -3c52 (base 13) to base 11 -6587 What is 2411 (base 6) in base 5? 4313 12809 (base 10) to base 14 494d What is b51 (base 15) in base 4? 213313 What is -1ed (base 15) in base 12? -314 22013 (base 6) to base 13 14c4 What is -10307 (base 10) in base 11? -7820 Convert -195b1 (base 13) to base 3. -2111122210 -4920 (base 10) to base 14 -1b16 Convert 4415 (base 8) to base 10. 2317 132 (base 16) to base 6 1230 What is 6001 (base 9) in base 14? 1847 Convert 20121020 (base 3) to base 13. 2262 -154066 (base 7) to base 13 -109b7 -648 (base 12) to base 10 -920 What is -1012222001 (base 3) in base 16? -5ddf -1021233 (base 4) to base 9 -6423 11325 (base 6) to base 11 1259 Convert -4005 (base 7) to base 2. -10101100001 8b8a (base 14) to base 2 101111010100110 What is 8170 (base 14) in base 7? 121600 What is 12102 (base 6) in base 3? 2102102 -2e1d (base 15) to base 3 -111121201 Convert -5e1 (base 16) to base 9. -2052 Convert -21d (base 15) to base 11. -3a5 What is 2222013 (base 4) in base 3? 112221020 28 (base 11) to base 7 42 Convert cbad (base 15) to base 4. 22202002 What is -199a (base 11) in base 3? -10110200 284 (base 12) to base 8 604 What is -33102333 (base 4) in base 14? -18b95 What is 324 (base 5) in base 10? 89 What is -2b (base 15) in base 7? -56 113002 (base 5) to base 3 12122212 What is 15321 (base 7) in base 14? 17b8 Convert 233221 (base 4) to base 2. 101111101001 Convert 481 (base 10) to base 16. 1e1 What is -680 (base 10) in base 7? -1661 What is 1021212 (base 3) in base 16? 3ad -1005 (base 6) to base 16 -dd What is 100001012 (base 3) in base 8? 14701 Convert -2958 (base 14) to base 4. -1302202 Convert 61d8 (base 16) to base 4. 12013120 Convert -24 (base 7) to base 11. -17 What is 5552 (base 6) in base 14? 684 11010 (base 5) to base 9 1028 Convert 1202 (base 5) to base 14. c9 23213 (base 5) to base 11 12a0 What is 221343 (base 5) in base 7? 31342 Convert -7869 (base 11) to base 7. -42130 Convert -12132 (base 6) to base 11. -1382 Convert 3130 (base 5) to base 2. 110011111 What is -4ca3 (base 14) in base 16? -349f 1528 (base 9) to base 6 5212 What is -2853 (base 13) in base 3? -21222100 -12223 (base 4) to base 6 -1551 What is -13023202 (base 4) in base 12? -1502a -11033 (base 4) to base 14 -19d What is 10200103 (base 4) in base 13? 8524 Convert 18405 (base 12) to base 16. 8945 What is -1540 (base 6) in base 7? -1140 Convert -1441 (base 6) to base 5. -3020 -220112 (base 4) to base 2 -101000010110 What is -11362 (base 7) in base 16? -b77 What is 112 (base 12) in base 10? 158 What is -120 (base 13) in base 7? -366 Convert -ee42 (base 15) to base 3. -2120012222 Convert -266 (base 8) to base 12. -132 -1369 (base 14) to base 15 -1035 -d428 (base 16) to base 10 -54312 What is -7283 (base 11) in base 6? -112402 Convert 25345 (base 6) to base 16. ee1 -e62 (base 15) to base 9 -4402 Convert 1a9 (base 16) to base 10. 425 -a120 (base 14) to base 7 -143440 What is 301212 (base 4) in base 6? 22410 Convert 1e2 (base 15) to base 11. 368 Convert -b908 (base 15) to base 12. -1a7b2 Convert -645 (base 7) to base 9. -403 Convert -278 (base 11) to base 13. -1c2 Convert -13516 (base 11) to base 16. -4b38 Convert 178 (base 10) to base 16. b2 4593 (base 14) to base 4 2330311 What is 884 (base 11) in base 6? 4524 Convert -30259 (base 11) to base 3. -2020200010 14912 (base 12) to base 3 1110201112 13524 (base 6) to base 10 2140 What is 1b48 (base 15) in base 8? 13436 What is 110220 (base 4) in base 14? 6a4 -185 (base 12) to base 11 -203 What is -201201121 (base 3) in base 16? -382c Convert 104403 (base 5) to base 7. 13604 Convert 2100 (base 6) to base 7. 1236 What is -100012 (base 5) in base 7? -12063 Convert -12323 (base 5) to base 7. -2544 111000101 (base 2) to base 7 1215 Convert 1b2d (base 15) to base 13. 28b4 1464 (base 9) to base 12 787 Convert -25a5 (base 14) to base 6. -50341 Convert 202100012 (base 3) to base 7. 61142 Convert 3acd (base 14) to base 7. 42146 What is -12206 (base 7) in base 15? -e2b What is 348 (base 9) in base 10? 287 Convert -42410 (base 5) to base 14. -107d 6606 (base 10) to base 3 100001200 What is -5571 (base 10) in base 7? -22146 Convert -14241 (base 8) to base 3. -22122112 2320201 (base 4) to base 10 11809 What is -56630 (base 9) in base 4? -21030330 What is 240 (base 9) in base 5? 1243 What is 11100111011100 (base 2) in base 5? 433222 35528 (base 9) to base 3 1012120222 60e (base 16) to base 2 11000001110 1da (base 16) to base 5 3344 Convert 233 (base 4) to base 2. 101111 -10000111001 (base 2) to base 10 -1081 What is 461a (base 13) in base 2? 10011001100001 1553 (base 6) to base 9 526 82b6 (base 13) to base 7 103443 -14131 (base 6) to base 8 -4247 -4c67 (base 13) to base 8 -25225 What is -13230 (base 5) in base 6? -4533 What is 176 (base 16) in base 4? 11312 Convert -110011010 (base 2) to base 8. -632 What is 9b33 (base 13) in base 10? 21674 What is -807 (base 11) in base 9? -1303 Convert 465 (base 8) to base 4. 10311 What is -16929 (base 10) in base 7? -100233 -151 (base 12) to base 7 -412 -1603 (base 15) to base 5 -122403 What is 645 (base 11) in base 14? 3d5 Convert -3a69 (base 16) to base 4. -3221221 What is -433333 (base 6) in base 14? -d06d What is 9270 (base 11) in base 13? 57a0 -185 (base 15) to base 4 -11132 3324 (base 5) to base 16 1d0 -4e3 (base 15) to base 11 -922 -12120002 (base 3) to base 10 -4052 -612 (base 9) to base 14 -277 What is -181 (base 14) in base 7? -621 What is -3505 (base 9) in base 11? -1a51 -1a7b (base 12) to base 9 -44
{ "pile_set_name": "DM Mathematics" }
s). 2*s + 10 Let z(i) = -4*i - 14. Let w(a) = 2*a + 1. Let y(o) = 14*w(o) + 2*z(o). Let n(v) = 0 - 7*v + 3 + 2. Let r = 23 + -37. Determine r*n(j) - 5*y(j). -2*j Let o(r) be the third derivative of r**5/20 + r**3/3 - 42*r**2. Let c(k) = k**2. Calculate -2*c(y) + o(y). y**2 + 2 Let y(l) = -1. Let w(r) = -5 - 3*r - 4 + 16 - 3. Suppose -2*c - 12 = c. Determine c*y(a) - w(a). 3*a Let p(r) = -r**3 + r**2 - r. Let d(i) = -4*i**3 + 2*i**2 - 2*i. What is 3*d(a) - 6*p(a)? -6*a**3 Let a(h) = -3*h**2 + 4*h + 7. Let l(s) = 2*s**2 - 2*s - 4. Calculate 3*a(i) + 5*l(i). i**2 + 2*i + 1 Let p(m) = -2*m - 4. Let d = -5 - 2. Let f be p(d). Suppose 0*k = -2*k + f. Let w(h) = -h. Let u(i) = -4*i - 1. Determine k*w(y) - u(y). -y + 1 Let y(o) = 14*o**3 - 3*o**2 + 2*o - 2. Let q(k) = 29*k**3 - 5*k**2 + 3*k - 3. Determine 3*q(b) - 5*y(b). 17*b**3 - b + 1 Let d(c) = c - 1. Let u(y) = 2*y + 4. Let k(x) = d(x) - u(x). Let r(s) = -s - 3. Calculate -3*k(i) + 5*r(i). -2*i Let y(a) = 7*a**3 + 5*a**2 + a - 3. Let x(d) = 8*d**3 + 4*d**2 + d - 2. Determine 5*x(o) - 4*y(o). 12*o**3 + o + 2 Let p(u) = 5*u + 2. Let o = 3 - 6. Let b(f) = -5*f - 4. Let l(x) = -6*x - 4. Let r(t) = 3*b(t) - 4*l(t). Determine o*r(d) + 5*p(d). -2*d - 2 Suppose -5*h + 20 = -4*z, z + 5 = -43*h + 39*h. Let l(q) = q**2 - 8*q + 3*q**3 - q**2 - 3. Let s(u) = 2*u**3 - 5*u - 2. Calculate z*l(o) + 8*s(o). o**3 - 1 Let l(s) be the first derivative of -s**2 + s - 8. Let t(j) = 9*j - 4. Calculate 26*l(y) + 6*t(y). 2*y + 2 Let i = 6 - 4. Suppose 0 = i*k + 3*k - 25. Let l(s) = -4*s**3 + 4*s**2 + 5*s. Let y = 5 - 1. Let h(t) = 3*t**3 - 3*t**2 - 4*t. Calculate k*h(v) + y*l(v). -v**3 + v**2 Let b(u) = u + 5. Let a(o) = -o - 6. Let h(x) = 5*a(x) + 4*b(x). Let j = 8 + 2. Let t(i) = -6 + 3 + i + j. Give 5*h(z) + 7*t(z). 2*z - 1 Let h(f) = 3. Let v(u) = -u - 5. Let l be v(-15). Suppose 8 = w + l. Let x(y) = y + 4. What is w*x(m) + 3*h(m)? -2*m + 1 Let z(d) = -4*d**3 + 10*d**2 - 6*d. Let k(f) = 2*f**3 - 3*f**3 + 3*f + f**2 - 2*f - 2*f. Determine -6*k(x) + z(x). 2*x**3 + 4*x**2 Let a(m) = 5*m**3 - 6*m**2 + 2*m. Let p(h) = -h**3 + h**2 - h. What is a(x) + 4*p(x)? x**3 - 2*x**2 - 2*x Suppose 5*x - 4*z - 17 = 2*x, 2*x = -2*z + 2. Let b(u) = u. Let t(i) = i**2 - i + 2. What is x*b(j) + t(j)? j**2 + 2*j + 2 Let k(q) = -5*q. Let a(z) = -z**3 + 8*z**2 + 9*z + 8. Let m be a(9). Suppose 0*y = y - 2. Suppose y*g - 4*g + 10 = 0. Let d(x) = 3*x. What is g*k(c) + m*d(c)? -c Let m(c) = -4*c**2 - 2*c. Let o be 2*(1 - 2) - -6. Let g(s) be the second derivative of 1/2*s**2 + 0 - s + 0*s**3 + 1/12*s**o. Calculate -2*g(k) - m(k). 2*k**2 + 2*k - 2 Let k(y) = y - 11. Let w be k(9). Let h(x) = 2*x - 3. Let c be (4/(-2))/(-2) + 0. Suppose -4*u - 11 = c. Let n(a) = -2*a + 4. What is u*h(i) + w*n(i)? -2*i + 1 Let s(b) = -b. Let x(r) = -6. Let m(j) = s(j) + x(j). Let d(f) = f**3 - 8*f**2 - 7. Let a be d(8). Let z(i) = -i - 7. Determine a*m(y) + 6*z(y). y Let x(s) = 7*s**3 - 15. Let m(r) = -4*r**3 + 7. What is -5*m(y) - 2*x(y)? 6*y**3 - 5 Let n(s) = 3*s + 2*s - 8 + 2*s. Let g(r) = 3 - 1 + 6*r - 9. Suppose -5*q - 10 = -7*q. Determine q*n(i) - 6*g(i). -i + 2 Let n(a) = -12*a + 2*a - 7*a - 5. Suppose 0 = 5*o + 9 + 16. Let b = 9 + o. Let z(v) = 6*v + 2. Give b*n(h) + 11*z(h). -2*h + 2 Let p(r) = 3*r**3 + 2*r**2 - 2*r. Let m(t) = t**3 - t**2 + t. Calculate -2*m(y) - p(y). -5*y**3 Let p(q) = -2*q**2 - 2*q - 1. Let k(g) = g**3 - 3*g**2 - 2*g - 1. Calculate -2*k(n) + 3*p(n). -2*n**3 - 2*n - 1 Let o(b) = -b - 1. Let r = 60 + -64. Let z(a) = -a**3 - 4*a**2 + 6*a + 4. Let i be z(-5). Let w(h) = -3 + 3 + 2 + 5*h. What is i*w(g) + r*o(g)? -g + 2 Let g(f) = -f. Let x(z) = 4*z + 1. Suppose -10*d + 3 = -7*d. Calculate d*x(n) + 3*g(n). n + 1 Let k(f) = 6*f**3 + 4*f**2 + f. Let a(p) = 4*p**3 + 3*p**2 + p. Give -7*a(j) + 5*k(j). 2*j**3 - j**2 - 2*j Let f(a) = a. Let s = -21 - -17. Let z(y) = 3*y + 1. What is s*f(g) + z(g)? -g + 1 Let k(u) = -u + 8. Let l be k(8). Let g(t) = 10 - 10 - 3*t + 2*t**3 + l*t**3 - 9*t**2. Let p(d) = -3*d**3 + 14*d**2 + 5*d. Give 8*g(b) + 5*p(b). b**3 - 2*b**2 + b Suppose g - 4 + 2 = 0. Let l be 75/12 + g/(-8). Let t(i) = -7*i**2 - 5*i + 5. Let d(y) = 3*y**2 + 2*y - 2. Determine l*t(n) + 15*d(n). 3*n**2 Let b(t) = 77*t**2. Let q(v) = -26*v**2. Give 4*b(n) + 11*q(n). 22*n**2 Let w(f) = f**2 - 3. Let d(o) = -2*o**2 + 6. Suppose l = 4*l - 9. Let g(p) = l*d(p) + 5*w(p). Let y(t) = -3*t**2 + 8. What is -8*g(v) + 3*y(v)? -v**2 Let f = -9 - -12. Let a(x) = -3*x**2 - 4*x**2 + 12 - 2*x**f - 3. Let y(o) = o**3 + 3*o**2 - 4. What is -4*a(k) - 9*y(k)? -k**3 + k**2 Let r(m) = -m**3 + m**2 - m + 1. Let v(l) = 5*l**3 - 2*l**2 + 6*l - 3. Give -3*r(o) - v(o). -2*o**3 - o**2 - 3*o Let c = -50 - -60. Let k(a) = -4*a + 1. Let m(p) = 7*p - 1. Determine c*k(v) + 6*m(v). 2*v + 4 Let w(v) = -4*v**2 - 2*v - 5. Let t(s) = -9*s**2 - 4*s - 11. Suppose 5*p - 7*b = -2*b + 15, 4*p + 3*b = 33. Determine p*t(k) - 13*w(k). -2*k**2 + 2*k - 1 Let f(t) = 3*t**2 + 2*t**2 - 4*t**2 + 4*t. Let h(o) = o. Let b(m) = f(m) - 2*h(m). Let u(x) = x. Calculate b(p) - u(p). p**2 + p Let i(b) = 4*b**2 + 2*b - 1. Let w(k) = 1 - 3*k + 0*k - 3*k**2 + 3*k - 2*k. Determine 2*i(a) + 3*w(a). -a**2 - 2*a + 1 Let l(u) = 0 - 17 + 9 - 5*u**3 + u**2 + 4*u**2. Let f(v) = -4*v**2 + 4*v**3 - 5 + 12 + 0*v**3. Determine 7*f(p) + 6*l(p). -2*p**3 + 2*p**2 + 1 Let y(a) = 4*a**2 + 9*a - 1. Let d(u) = 5*u**2 + 10*u - 2. Calculate -3*d(q) + 4*y(q). q**2 + 6*q + 2 Let b(v) = 9*v**2 + 3*v + 3. Let l(q) = 3 - 4*q + 7 + 5 - 13*q**2 - 19. Determine -7*b(c) - 5*l(c). 2*c**2 - c - 1 Let l(r) = 2*r**2 + 3*r**2 - 3 - r**3 + 0*r**3 + 5*r**3. Let o(y) = 2*y**3 + 3*y**2 - 2. Suppose -3*z + 6*q + 1 = q, 5*z = -4*q - 23. Determine z*l(h) + 5*o(h). -2*h**3 - 1 Let c(k) = k - 3. Let a be c(-4). Let b(i) = -10*i**2 - i - 4. Let v(y) = 7*y**2 + y + 3. Give a*v(o) - 5*b(o). o**2 - 2*o - 1 Let f(b) = 7*b**2 + 22*b + 6. Let j(i) = -6*i**2 - 22*i - 5. Determine -4*f(t) - 5*j(t). 2*t**2 + 22*t + 1 Let y(j) = -5*j - 2. Let b(v) = -26*v - 11. Give 2*b(t) - 11*y(t). 3*t Let q(w) = 15*w**3 - 5*w + 1. Let a(o) = 7*o**3 - 2*o + 1. Let i(f) = -5*a(f) + 2*q(f). Let p(j) = -24*j**3 - 14. Suppose 6*s = 3*s - 42. Give s*i(b) + 3*p(b). -2*b**3 Let j(c) = 7*c**3 + 6*c - 2. Let u(g) = 6*g**3 + 5*g - 2. Suppose -2*t + 4*q = -8, q = -2*t - q + 14. Let x = 2 - 0. Let d = x + -7. Calculate d*j(m) + t*u(m). m**3 - 2 Let k(c) = -c**2 - 19*c + 34. Let w be k(-21). Let y(i) = -i**3 + 5*i**2 - 5*i - 5. Let t(v) = 6 - 8*v**2 + 2*v**3 + 8*v + 0 + 2. What is w*y(q) - 5*t(q)? -2*q**3 Suppose 0 = -3*c + w + 17, -2*c + 7 = 3*w + 14. Suppose 0 = -c*j - 24 - 4. Let x(y) = -7*y + 5. Let h(f) = -13*f + 5*f + 1 + 5. Calculate j*x(k) + 6*h(k). k + 1 Let a(d) = -5*d + 6. Let v be (-30)/(-9) - 1/3. Suppose -n = -v*n + 2. Let r(h) = h - 1. Determine n*a(i) + 6*r(i). i Suppose 0 = d - 0*d - 4. Suppose -1 - 1 = 2*x. Let u(t) = -1. Let f(o) = -5 + 5 + o - 3*o - 4. Determine d*u(r) + x*f(r). 2*r Let j(t) = 5*t**3 + 11*t**2 + 5*t + 7. Let o(k) = -2*k**3 - 5*k**2 - 2*k - 3. What is 3*j(n) + 7*o(n)? n**3 - 2*n**2 + n Let r(c) = 3*c**2 - c + 1. Let i(s) = -13*s**2 + 4*s - 3. Let n(j) = -4*i(j) - 18*r(j). Let w(q) = -1. What is -n(t) + 6*w(t)? 2*t**2 - 2*t Let q be (-16 + 1)*(-20)/(-50). Let y(c) = 2*c**3 + 6*c**2 + 3*c**3 - 6*c**3 - 6 + 6*c + 2*c**3. Let h(u) = -u**3 - 5*u**2 - 5*u + 5. Calculate q*h(t) - 5*y(t). t**3 Let h = -15 + 17. Let o(p) = p**3 - 2*p**2 + 2*p - 2. Let s(y) = -3*y**3 + 5*y**2 - 7*y + 7. Calculate h*s(k) + 7*o(k). k**3 - 4*k**2 Let c(f) = 2*f. Let n(m) = m. What is 3*c(o) - 10*n(o)? -4*o Let p(n) = -n**3 + n**2 - 1. Let j(x) = 4*x**3 - 9*x**2 + 6. Give j(m) + 6*p(m). -2*m**3 - 3*m**2 Let n(s) = 12*s**2 - 2*s + 12. Let g(h) = -h**2 - 1. Suppose 2*m = -5*o + 7*m + 65, -27 = -4*o - m. Let y = o + -18. Give y*g(b) - n(b). -2*b**2 + 2*b - 2 Let y(d) = d**2 + 1. Let v(r) = -2*r**3 - 3*r**2 - 20. Give -v(o) - 3*y(o). 2*o**3 + 17 Let t(b) be the third derivative of -b**5/12 - b**4/8 - 5*b**3/6 - b**2. Let u(l) = l**2 + l + 1. Determine -2*t(r) - 9*u(r). r**2 - 3*r + 1 Let v(g) be the second derivative of g**5/20 - g**4/6 + g**2 + g. Let k = -1 - -4. Let x(w) = 3 - 3*w**3 + w**k + 5*w**2 - 9. What is 8*v(t) + 3*x(t)? 2*t**3 - t**2 - 2 Let m(w) = 3*w**3 + 35*w. Let r(j
{ "pile_set_name": "DM Mathematics" }
(-19) - 16716/(-38). Let p be 6/10 + (-8)/i*23. Which is the closest to 0? (a) 0.03 (b) p (c) 3 a Let v = 205.9 - 206. What is the closest to v in 5, -2, 0.4, 2? 0.4 Let s = -40 - -83. Let m = s + -23.5. Let d = 19 - m. What is the closest to -0.1 in 0.07, 3, d? 0.07 Let d(m) = 6*m**3 + 9*m - 8. Let p be d(1). Which is the nearest to 0.1? (a) -3 (b) 0.7 (c) p b Let f be 25/(-3) - (-14 - -5). Which is the closest to -3/7? (a) -2 (b) -0.05 (c) f b Let s(q) = q**2 + q - 1. Let c be s(-4). Let n be (c - 11) + 2/(-5). What is the nearest to n in -4/9, -2/3, 2? -4/9 Let q = -450 - -445. What is the closest to 0.1 in 5, 2, q? 2 Let x = -0.0655 + 5.0655. Suppose -6*d = -4*d - 2. Let q = 2.3 - 2. What is the closest to d in x, -1/7, q? q Let v(s) = -s**3 + 25*s**2 - 46*s - 1. Let j be v(23). Let y = -0.6 + -4.4. Which is the nearest to j? (a) y (b) 4 (c) -3 c Let f = -7 - -8. Let s = -61 - -60.9. What is the closest to s in f, -0.5, 0? 0 Let o = -1 + -2. Let d = -45.08 + 46. Let l = d + 0.08. What is the closest to l in o, -4/5, 4? -4/5 Let q = 176 + -46. Let i = q - 129. What is the nearest to -0.1 in -1/5, -1, i? -1/5 Let k = -957 - -1831/2. Let u = 43 + k. What is the nearest to -2/3 in -0.4, -1/3, u? -0.4 Let l = 1972 - 1967. Let p be (-2)/(-4) - 1/4. What is the nearest to -2 in -1, l, p? -1 Let p = 315 - 2207/7. What is the closest to -1 in -11, 1/5, -4, p? p Suppose -2*r = -4*y - 696, -4*r + 4*y + 1386 = -y. Let v = r - 24422/71. Which is the nearest to -0.1? (a) v (b) 1/5 (c) 1/7 a Let s(u) = -27*u + 3. Let q be s(-3). Suppose -z + q = -4*x, 3*x + 4*z + 37 + 26 = 0. Let w be 2/(-12)*x/14. Which is the nearest to w? (a) -4 (b) 5 (c) -3 c Let o be (1914/(-34))/11 + (7 - 2). Let m = -241/3 + 81. Which is the nearest to -1? (a) m (b) 5 (c) o c Let o be (4/(-7))/(1*(-198)/1995). Let w = o - 45/11. Which is the nearest to 0.1? (a) 0.2 (b) 1 (c) w a Let y = 20 + -20. Let z be 293/1407 - 22/33. Let d = -2/67 - z. What is the closest to -1/3 in -2, d, y? y Let h = -1153 + 1149. Which is the nearest to -1? (a) 1 (b) -0.5 (c) -0.06 (d) h b Let d = 38 - 35. Let k be d/(-4)*(-2 + (-30)/(-5)). What is the closest to 0 in -4, 1/2, k? 1/2 Suppose s + 4*s + 52 = -n, 0 = 5*s + 2*n + 54. What is the closest to 0 in -3, 1/7, s? 1/7 Let n be (-308)/(-165) - (-2)/15. Let k be n + 1 + 1 + (-19)/5. Which is the closest to 0? (a) k (b) 1/3 (c) -5 a Let j = 5363 + -1110139/207. Let i = j - -605/1656. What is the closest to -1 in -4, i, 0.1? 0.1 Let y = 1 - 0.8. Let i = -18185/154 - 1799/22. Let q = 199 + i. Which is the closest to 0? (a) q (b) 6 (c) y c Let a = -8.9 - -10.9. What is the nearest to 0.05 in -4, a, -2? a Let z = 1/945 + -2269/945. Which is the closest to -0.08? (a) 6/5 (b) z (c) -0.1 c Let j = 2.2 - 2. Let k = 10.7 - 11.3. Which is the nearest to j? (a) 2 (b) 4 (c) k c Let a = 0.9 + -19.9. Let l = a + 18. Let y = 77/2 + -547/14. What is the closest to l in y, 0.1, -4? y Let f be (3/21)/((-2)/4). Let i = -91/3 - -30. Which is the closest to i? (a) f (b) 2 (c) -1/3 c Let n = -0.26 - -4.26. What is the closest to -1/5 in 1/6, 0, n? 0 Let v(u) = -54 - 16*u + 21 + 12 + u**3 - 16*u**2. Let l be v(17). Let g be ((-9)/12*2)/(-6). Which is the closest to 0.1? (a) g (b) 5 (c) l a Let f = -3.3 + 2.8. Which is the closest to -0.4? (a) f (b) -2/13 (c) -4 a Let i be (-224)/126 - 3/((-81)/(-6)). What is the nearest to i in 3, 0.2, -2, 4? -2 Let p = 2 + -3. Let k = -146 - -256. Let j = -1209/11 + k. Which is the nearest to p? (a) j (b) 0 (c) -1/9 c Let u = 45 + -45.1. Suppose 4*x + 1 + 5 = 3*w, -x = 0. What is the closest to u in w, -1/5, 7? -1/5 Let h = -12.686 + 12.786. Suppose z - 4*m + 10 = -0*z, -2*z = -5*m + 11. What is the nearest to h in z, -6, 0.3? 0.3 Let n = -959/8 + 120. Let k = -0.2 + -7.8. Let z = k - -8.2. Which is the closest to 0.4? (a) z (b) n (c) 5 a Let v = 1.5 - 1.2. Let s be (0 - -1)*(-6 - -6). Which is the closest to s? (a) -0.5 (b) v (c) -2/3 b Let s be ((-6)/8)/(39/12 + 0). What is the nearest to 1/4 in 0.4, 2/21, s? 0.4 Let v be (0 - 4/(-8))/(7/(-22)). Let t = v + 47/21. Which is the nearest to 6? (a) 1/6 (b) t (c) -0.1 b Let v = -0.0356 + 0.1356. What is the closest to v in -4/11, 1/10, 2? 1/10 Let v = 0.4 - 3.4. Let r = 112.7 - -1.3. Let p = r - 113. Which is the nearest to 2? (a) v (b) p (c) -0.1 b Let u = 0.11 + 0.89. What is the nearest to u in -2/615, -0.3, -2? -2/615 Suppose 3*r + 186 = -3*r. Let g = r + 156/5. What is the closest to -1/4 in 4, g, -3? g Let c be (-1)/(11/(264/8)). What is the nearest to 0.1 in c, -2, 3/2? 3/2 Suppose 5*m = -2*j - 3*j - 4170, -m = 4*j + 828. Let a = -22568/27 - m. What is the nearest to a in -0.4, 5, 3/2? -0.4 Let v = -586.2 - -586. Which is the nearest to 0? (a) -3 (b) 5 (c) v (d) -1 c Let v = 1.4459 - -0.5541. Let o = -3 - -1. Which is the closest to v? (a) o (b) -4 (c) 0.5 c Let r = 58/3 - 293/15. Let s be (-16)/(-2 - 2)*1. What is the closest to -2 in r, s, 0.2? r Let i = -21.85 + 22. Let t = i + 0.01. Let q = 0.26 - t. Which is the closest to -3? (a) 2/5 (b) q (c) -0.4 c Let d = 53 - 52.7. Suppose -21 + 9 = 4*v. Let f = 0.9 + -1. What is the closest to f in d, v, -1/3? -1/3 Let d = -0.6 - 0.4. Let g = d - -1. Let o be (6/(-20))/((-12)/30). What is the nearest to -2/7 in 3, o, g? g Let g = 22 - 26. Let x = 263.9 + -285. Let l = x + 21. Which is the nearest to l? (a) 2 (b) g (c) -2/17 c Let h(q) = -2*q - 2. Let w be h(5). Let u = 7 + w. Let k = 100 - 104. What is the closest to -1/3 in 1, u, k? 1 Suppose 35 - 5 = 2*l - 4*t, -l - 3*t - 10 = 0. Suppose -4*h = 4*o - 32, l*h - 39 = -14. Let k be (-1)/3*6/20. What is the closest to 0.1 in 1/2, k, o? k Let d = -0.029 - 1.971. Let x = -6.1 + 6. Which is the nearest to -1? (a) -1 (b) d (c) x a Let p = 2.1 + -0.1. Let u = -87.7 - -86. Let d = u + p. Which is the nearest to 2/5? (a) -0.4 (b) -2 (c) d c Let q(j) = 18*j**2 - 72*j - 4. Let z be q(4). What is the closest to 1/7 in 9, z, -0.3? -0.3 Let n = 0.1 - 0.3. Let v = -867 + 673.5. Let q = 193 + v. Which is the closest to 1? (a) q (b) -8 (c) n c Let d = 0.26 - 0.26. Let w = -0.1 + d. What is the nearest to 2 in w, -6, 3? 3 Let s = 1.9 + -1.56. Let t = s + 3.66. Let p = -0.2 - -0.2. Which is the nearest to 0? (a) t (b) -1 (c) p c Let z(a) = a**2 + 25*a + 26. Let v be z(-24). Let i = -19.6 + 16.6. Let d = 1.3 - 0.3. What is the nearest to v in i, -0.1, d? d Let u be 324/(-78) - (-4 + 1). Let m = 1 + u. Let x = 8 - 6. Which is the nearest to x? (a) -3 (b) -0.1 (c) m b Let m(t) = 6*t - 15. Let n be m(2). Which is the closest to 1? (a) n (b) -0.03 (c) 2/3 c Let t = 1549.2 - 1549. Which is the nearest to 1? (a) -1 (b) t (c) -0.4 (d) 0 b Let z = -198 - -198.2. Which is the nearest to 3/7? (a) z (b) -2/15 (c) -0.5 a Let f = -6.7 + 7.07. Let p = f + -0.17. Suppose -2*k = -o - o + 14, -5*k + 3*o = 25. What is the nearest to p in 5, k, 0? 0 Let f = 90 - 266/3. Let k(x) = -2*x - 4. Let z be k(3). Let m = z - -7. What is the closest to -2/5 in m, f, -0.2? -0.2 Let r = 8/125 - 141/250. Which is the closest to r? (a) -0.06 (b) 1 (c) -0.5 c Let z = 50.1 + -50.2. Which is the closest to z? (a) 0.1 (b) -4 (c) -2/7 (d) 0 d Let h be (-3)/(27/11) + (-57)/(-57). What is the closest to -1 in 3, h, -4? h Suppose -13*j = 52*j - 3*j. What is the nearest to -0.01 in j, 3/2, 0.2? j Let l = -3591 + 3591.5. Let d = 1 - 2. What is the nearest to -0.1 in l, 0.15, d? 0.15 Let u = -1022 - -1019. What is the nearest to -2 in u, -0.422, 1? u Let w = 1.8371 - -0.1629. Let z = -0.04 - -3.04. What is the closest to -0.2 in -0.2, z, w? -0.2 Let y = 858 - 854. What is the nearest to -2 in y, 0.2, -4? -4 Let t = 6.6 - 4.6. What is the closest to 0.1 in -1, 4, t? -1 Let k = 0 - 0.1. Suppose -5*l + 3 = -4*l. Let x = 25.3 - 25. Which is the closest to k? (a) l (b) x (c) -1/11 c Let m = 34 + -26. Let r be (-80)/(-64) - 2/m. What is the nearest to r in -4/7, -0.2, -2/7? -0.2 Suppose 4*u = 26 + 10. Let a be 656/22 - u/(-3). Let o = a + -33. What is the closest to 2 in -4, 3, o? 3 Suppose -3*j = 2*s + 13, -17*s + 16*s - 4*j = 19. Which is the nearest to -1? (a) -2 (b) s (c) 0.2 (d) 1/9 a Let m = -0.19 - 0.31. What is the nearest to -0.1 in m
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) -1 (b) -1478 (c) d c Let q be 308/((6 + 0)*21/63). Let u be (-14)/(q/(-75)) - 7. Which is the second biggest value? (a) -2 (b) 0.3 (c) -8 (d) u d Let f = -5 - -20. Let g = -0.6 - -0.7. Let t = -3319/5 - -664. What is the second biggest value in 4, g, t, f? 4 Let q = 268.194 - 268. Let h = q + 0.006. Which is the third smallest value? (a) h (b) 23 (c) -3 b Let p = 58.019 + -33.142. Let l = -0.123 - p. Which is the third biggest value? (a) l (b) 4 (c) -0.5 a Let g = 7.98 + -6.28. Let a = -1.72 + g. What is the third biggest value in a, 8, 0, -0.4? a Let q = 309.4 + -308.4. What is the fifth smallest value in -2, -0.3, 1/3, 3, q? 3 Let q = 3 + -2.8. Suppose -h = -t + 4, -12*t + 9*t = -5*h - 4. What is the third biggest value in h, q, 5? q Let i be ((-18)/15)/((-69)/92 - (-123)/(-60)). Let u = 5 - 4. Which is the second smallest value? (a) u (b) 1.11 (c) i a Let u be (-1)/(-21 + 416/20). Let x = -0.3 - 3.7. Let l be 1 + (2 - 4) + 3. Which is the third smallest value? (a) x (b) l (c) -0.5 (d) u b Let x = -1731 + 1719. What is the second smallest value in x, -0.4, 6.8? -0.4 Let n = 1/14733 - 6551/44199. Which is the fourth biggest value? (a) 2/11 (b) 4 (c) 1/7 (d) 0.1 (e) n d Let q = -24037 + 24034. Which is the smallest value? (a) 4/5 (b) -0.5 (c) -11.4 (d) -5 (e) q c Let v = -122024 + 12446341/102. Let x = v + 15/17. Let i be 2*4 + (-3 - 0/6). Which is the biggest value? (a) 2/3 (b) x (c) i c Let l = 11670 + -11669.953. What is the third biggest value in l, 2, 5? l Let d be (153/12 - 13)*(0 - -2). Let j = 1.76 - -0.24. Suppose 3*k + 6 = 3*r, 4*r - 2*r = 5*k + 1. What is the biggest value in j, d, r? r Suppose -116*x + 824 = -7*x + 97*x. Which is the second biggest value? (a) 0.2 (b) -0.2 (c) 0.04 (d) 1/14 (e) x a Let x = 2685 - 2685.6. What is the second smallest value in x, 0, -2/5, 2/7? -2/5 Let m be (-3)/(-10) + 2/(-4). Let p = 285.055 - 285. Let k = 1.255 - p. What is the third biggest value in k, m, -0.3? -0.3 Let o be 45/30*(-7)/((-21)/(-64)). Let y be ((-4)/(-2))/(-4*(-56)/o). What is the second smallest value in -4, y, -3/4, -1.7? -1.7 Let x = 86 - 152. Let g be -4 + 1/((-16)/x). What is the second smallest value in -0.2, 269, g? g Let s = 873 - 869. What is the fourth smallest value in 3, 0, s, -13? s Let u be (-1)/2 - (6/(-12) - 4). Suppose -20 = -4*q + 2*i, -5 = q - 2*q + 2*i. What is the third biggest value in u, 1, 0, q? 1 Let w(d) = -d**2 - 11*d - 29. Suppose 0 = 5*f + 311 - 271. Let u be w(f). Let i = 0.3 - -0.2. Which is the third smallest value? (a) u (b) i (c) -7 b Let m = -2864.8 + 2865. What is the second smallest value in 182, 0, m? m Let k be (-3)/2*(-5 - -3). Let y be 4/(-12)*(-399 + 384). Which is the biggest value? (a) y (b) -0.22 (c) 2/5 (d) k a Suppose 0 = l - 1 + 3. Suppose i = 5*o + 21, 7*i - 17 = 6*i + 4*o. Let r = -6 + i. Which is the second smallest value? (a) l (b) r (c) 1/13 a Let v = -63 - -314/5. Let u = 16.73 + 0.27. Let i = 54203 - 54208. Which is the second smallest value? (a) i (b) v (c) -1 (d) u c Let n = 300171/17 - 17657. Which is the smallest value? (a) -2.7 (b) -5 (c) -0.03 (d) 5 (e) n b Let l be (-192)/(-224)*60/(-40)*1/(-3). Which is the second biggest value? (a) 0 (b) 1971 (c) -2/11 (d) l d Suppose -2*d - 9 = -19. Suppose 1 = -a + d. Suppose -2*t - 18 = -20*t. What is the third smallest value in t, -14, a? a Let o = -10 + 7. Let r(x) be the third derivative of x**4/12 - 5*x**3 + 5*x**2. Let m be r(14). Which is the third smallest value? (a) 0.2 (b) 3 (c) o (d) m a Let o = 11090.6 + -11091. What is the second smallest value in 10, -3.4, o? o Let n = 0.0093 - -0.1907. Let h = -5 - -5.5. Let b = -0.084 - 0.016. What is the smallest value in h, 2/13, n, b? b Let a be 8*(-2)/4 - -8. Suppose 2*j + 162 = 2*c, a*c + 75 - 374 = -j. Let l be (-2)/(-2)*19/c. What is the third biggest value in -4, l, -11? -11 Let m = -0.22944 - -0.14644. What is the second biggest value in 5, 1/28, 1, 0.3, m? 1 Let u = -0.05885 + 0.35885. What is the second biggest value in -43, -0.4, u, -2? -0.4 Let y = -310 - -314. Let p be (-3)/(-12)*-1 - y/(-144). Let r be ((-4)/10)/(9/(-5)). Which is the third smallest value? (a) p (b) -5 (c) -3/7 (d) r a Suppose -2*s = -2, -4*s - 318 = -4*a - 2*s. Suppose -17*r + a = -r. What is the biggest value in -4, -1.1, r? r Let n be (-8)/16 - 14/(-12). Let v be (2/(-55))/((-18)/120). What is the third biggest value in -0.5, n, v? -0.5 Let j = 13.39 + 0.61. Let z = -11 + j. Let o = -13 - -7. Which is the second biggest value? (a) o (b) z (c) -1 c Let l = -30 - -25. Let t = -82 + 74. Which is the smallest value? (a) l (b) t (c) 1 b Let p be (9 - (6 - 2))*1. Suppose -p = r - 1. Which is the third smallest value? (a) 0.2 (b) r (c) -2/13 a Let n = -1944 - -2212.3. Let v = -223 + n. Let y = v + -45. What is the biggest value in y, 0.15, -4? y Let p = -23 + 23.2. Suppose -791 + 115 = -13*k. Let x be (-2)/2 + 44/k. What is the biggest value in x, -1/24, p, -1/6? p Let a be 3/(-12) + (-2 - -2*1). Let i = -267.6 - -243. Let h = i - -25. What is the smallest value in a, 1/5, h? a Let r = -0.402 + 4.862. Let o = -3.64 + 4.1. Let i = o - r. Which is the third biggest value? (a) 0.5 (b) 3 (c) i c Let g = -2.4 - 1.6. Let s = 5 - 1. Let x = s - 7. Which is the biggest value? (a) g (b) x (c) 2/3 c Let b be (3/(-5))/(2/5). Let d = 65548 - 65553. What is the fourth biggest value in b, 5, d, 1? d Let h = -1389 + 2364. What is the second smallest value in 3, -3, h? 3 Let u = -30 - -29.848. Let f = u - -0.132. Let d = 0.4 - 3.4. Which is the third smallest value? (a) f (b) d (c) -0.4 a Let z = -9779 + 9739. What is the fourth smallest value in 0.2, z, 0.05, 5? 5 Let n be (-3)/(-10)*2090/627. Suppose 5*g - 3*d = 6, d + 12 = 2*g + 3*d. Let i be (-4)/10 - 44/(-60). What is the fourth biggest value in i, n, g, -1/4? -1/4 Let r = -2/13 - 1/78. Let n(i) = 5*i - 236. Let g be n(50). Suppose g*o + z + 19 = 10*o, -o + 5*z + 11 = 0. What is the biggest value in 23, o, r? 23 Let v = -0.0284 - 1.9716. Let t(w) = w**3 + 8*w**2 + 8*w + 7. Suppose -5*z = -2 + 37. Let r be t(z). Which is the third biggest value? (a) r (b) v (c) -3 c Let h(r) = r**3 + 3*r**2 - 59*r - 126. Let k be h(-2). Which is the third smallest value? (a) -7 (b) -3/2 (c) k (d) 3 b Let j = 2.8 + -3. Suppose -g = 2 + 3. Let t = 12630 - 12622. Which is the smallest value? (a) j (b) g (c) t b Let t = -235.95 + 242. Let n = -5.95 + t. What is the third smallest value in n, -37, 4/3? 4/3 Let s be 28 - 15*(-413)/(-210). Let q be -142*(-2)/148 + -2. Which is the fourth smallest value? (a) 0 (b) 1 (c) q (d) s b Let g = 0.2 + -0.1. Let l = g - 0.1. Let f = -0.02634 + 0.52634. Which is the third smallest value? (a) 1 (b) l (c) f a Let k = -1.24391 + 1.64391. Suppose t + 0 - 5 = 0. Which is the biggest value? (a) 30 (b) t (c) k a Let o = 35624.4 - 35624. Let c = 5.6 + -6. What is the second smallest value in 16, c, o? o Let n = -198 - -392. Let v = n + -194. Which is the fourth smallest value? (a) -1/5 (b) 5 (c) 0.06 (d) v b Let p be 3*2 + (-2 - -1). Let i be 144/(27 + -11) + -43. What is the biggest value in i, -2/3, p? p Let h = 0.2562 + -0.0562. What is the smallest value in 2, -2/17, -4/11, -2/11, h? -4/11 Let d = 8.3 - 1.3. Let g be 24/(-30)*((-27)/3 - -14). Which is the third smallest value? (a) 1/7 (b) d (c) g b Let m = -2499.7 - -3395.7. Which is the smallest value? (a) 2 (b) 1/7 (c) m (d) -1 d Suppose 0 = 4*w - 1331 - 253. Let i = 397 - w. Which is the fourth biggest value? (a) 5 (b) -1/5 (c) i (d) -2 d Let q = 5.8376 - -0.1624. Let u = 0.05 + 3.95. Let z = u + -6. Which is the biggest value? (a) z (b) q (c) 0.5 (d) 3 b Let x(j) = 4*j**2 - 7*j + 6. Let w(p) = -9*p**2 + 13*p - 12. Let h(m) = -3*w(m) - 7*x(m). Let i be h(9). Which is the biggest value? (a) i (b) 0.1 (c) 2/7 a Let f = -0.0079 + 334.0079. Let i = f + -339. Which is the third smallest value? (a) 2 (b) i (c) -0.1 (d) -21 c Let k be 2/(-2 - -44)*(-66)/11. Let g = 6068/13 + -467. Which is the smallest value? (a) -1/2 (b) 1/4 (c) k (d) g a Let m = 0.29 + -0.15. Let x = -76479 + 76484. Which is the fourth smallest value? (a) x (b) -3/5 (c) m (d) -3
{ "pile_set_name": "DM Mathematics" }
l(o) = -7*o**2 - 61 + 38 + 23 - o - o**2. What is 6*b(m) - 5*l(m)? -2*m**2 - 7*m Let q(p) = -5*p**2 + 2*p + 5. Let j(u) = 0*u - 7 - 121*u**2 + 124*u**2 + 4 + u - 2*u. Calculate -8*j(b) - 5*q(b). b**2 - 2*b - 1 Let r(u) = 3*u**2 + 13*u + 17. Let c(n) = -n**2 + n + 2. Give -8*c(m) + r(m). 11*m**2 + 5*m + 1 Let d(s) = -73*s**2 - 4. Let m(w) = -36*w**2 - 2. Let v(z) = -z**2 + 190*z - 1106. Let x be v(6). Calculate x*d(n) + 5*m(n). -34*n**2 - 2 Let l(p) = -p**3. Suppose 3*q - 5 = 1. Suppose 8*m - 72 = -16*m. Let b(r) = -72*r**3 - r**2 - 76*r**3 + 3*r - 76*r**m + 228*r**3. What is q*l(h) + b(h)? 2*h**3 - h**2 + 3*h Suppose 0 = s - 3 - 1. Let p = 2 + s. Let q(r) be the first derivative of 2*r**3 - 5*r**2/2 - 8*r + 588. Let b(l) = 7*l**2 - 6*l - 9. What is p*q(h) - 5*b(h)? h**2 - 3 Let d(l) = 8*l**3 + 9*l**2 + 139*l + 2. Let u(c) = 5*c**3 + 5*c**2 + 70*c + 1. Calculate 3*d(b) - 5*u(b). -b**3 + 2*b**2 + 67*b + 1 Let q(t) be the second derivative of -t**4/12 + t**3/6 + 64*t + 3. Let h(w) = -9*w**2 + 5*w - 2. What is -h(c) + 6*q(c)? 3*c**2 + c + 2 Let o be ((-12)/22)/(93/682). Let j(z) = 23*z**3 + 4*z**2 + 4*z - 4. Let g(r) = -323*r**3 - 57*r**2 - 57*r + 57. Determine o*g(p) - 57*j(p). -19*p**3 Let a be (-4)/22 + 18/(-22). Let x be -22 - (-33 + (-13 - -23)). Let m(l) = -10*l**3 + l**2. Let s(f) = -f**3 + f**2. Calculate a*s(h) + x*m(h). -9*h**3 Let w(b) = -10*b - 3346. Let s(u) = 18*u + 6692. Give -6*s(d) - 11*w(d). 2*d - 3346 Suppose -430 = -4*r + 2*b + 362, -208 = -r - 2*b. Let k = r - 198. Let m(x) = 2*x**2 - 22*x. Let d(q) = q. Calculate k*m(p) + 44*d(p). 4*p**2 Let w(d) = 240*d**2 - 110*d + 70. Let k(q) = -3*q + 2. What is -35*k(l) + w(l)? 240*l**2 - 5*l Let q(u) = 382*u - 124. Let l(y) = -34*y + 11. Let k(b) = 68*l(b) + 6*q(b). Let c(v) = -4*v + 1. Give 24*c(m) - 5*k(m). 4*m + 4 Let p(x) = -5*x**3 + 2*x**2 - 659*x + 13. Let i(u) = 21*u**3 - 9*u**2 + 2637*u - 59. Calculate -2*i(l) - 9*p(l). 3*l**3 + 657*l + 1 Let u(s) = 4900*s**2 - 79*s - 8. Let o(m) = -1225*m**2 + 19*m + 2. Give -25*o(k) - 6*u(k). 1225*k**2 - k - 2 Let w(m) = -2*m. Let c = 5449 - 5484. Let v(j) = -25*j. Determine c*w(o) + 3*v(o). -5*o Let o(t) = -t + 9. Let y(s) = -6921*s + 27. Determine -3*o(u) + y(u). -6918*u Let y(b) = -2*b**2 - 5*b + 2. Let l(p) = -2589*p**2 - 8630*p + 3452. Calculate 5*l(t) - 8630*y(t). 4315*t**2 Let k(p) = -3*p**3 + 2*p**2 + 6*p - 5. Let j(s) be the second derivative of -s**5/5 + s**4/4 + 7*s**3/6 - 2*s**2 - 7180*s. Determine -4*j(m) + 5*k(m). m**3 - 2*m**2 + 2*m - 9 Let t(c) = -4*c**3 + 3*c + 2. Let b(l) = -l - 1. Suppose -15 = -3*s + 2*k, -30*s - k = -26*s + 2. Calculate s*t(y) + 2*b(y). -4*y**3 + y Let x(j) = -46*j - 10. Let t(z) = -65*z - 14. Let w(v) = 5*t(v) - 7*x(v). Let m(i) = 5*i. What is -4*m(s) - 7*w(s)? s Let i(w) = -3*w - 124*w**3 + 217*w**3 + 6*w - 91*w**3. Let a(r) = -r**3 - r. Give -3*a(n) - i(n). n**3 Suppose -181*c + 49 = -174*c. Suppose 0 = -c*s - 19 - 23. Let r(a) = 2*a**2 + 6 + 0 - 7*a**3 + 0. Let q(i) = -i**3 + 1. Determine s*q(z) + r(z). -z**3 + 2*z**2 Let h(l) = 31*l**3 - 3*l**2 + 3*l. Let r(t) = -380*t**2 - 251*t + 604*t**2 - 20*t + 47*t - 2324*t**3. What is -224*h(k) - 3*r(k)? 28*k**3 Let h(l) = -15*l**3 + 11*l**2 + 6*l + 20. Let a = 6350 + -6367. Let p(y) = 5*y**3 - 4*y**2 - 2*y - 7. Determine a*p(k) - 6*h(k). 5*k**3 + 2*k**2 - 2*k - 1 Let h(i) = -17*i**2 + 181*i - 250. Let f be h(9). Let j(g) = -8*g**2 + 5*g - 1. Let n(r) = r + 1 - 2*r - r + 4*r**2. Determine f*j(b) + 5*n(b). 4*b**2 + 3 Let b = -2437 - -2431. Let k(n) = -8*n**3 - 11*n**2 + 4*n - 6. Let z(c) = -15*c**3 - 21*c**2 + 7*c - 11. Calculate b*z(l) + 11*k(l). 2*l**3 + 5*l**2 + 2*l Let i(p) = p**2 - p - 1. Suppose 5*v - 5*y = -10, 104*v = 109*v + y + 10. Let m(s) = 7*s**2 - 2. What is v*i(o) + m(o)? 5*o**2 + 2*o Let d(f) = -18*f. Let h(g) = -613*g + 2. Calculate -2*d(y) - h(y). 649*y - 2 Let s(x) = -9*x**3 + 4*x**2 - 23*x - 5. Let h(d) be the second derivative of -13*d**5/20 + d**4/2 - 17*d**3/3 - 7*d**2/2 + 1316*d. What is -5*h(v) + 7*s(v)? 2*v**3 - 2*v**2 + 9*v Let d(g) = -2075*g**2 + 5*g - 39. Let c(o) = -o**2 + o - 8. Calculate 5*c(m) - d(m). 2070*m**2 - 1 Let b(l) = -8*l - 54. Let u(y) = -3*y - 8. Give 2*b(w) - 12*u(w). 20*w - 12 Let r(n) = -2*n. Let d be ((-110)/(-25) + -2)/((-4)/110). Let b = d + 23. Let q = 45 + b. Let w(m) = -m**2 + 7*m. What is q*w(g) + 7*r(g)? -2*g**2 Let s(g) = 306*g + 848. Let l(t) = -61*t - 175. Give 14*l(p) + 3*s(p). 64*p + 94 Let i(w) = -7*w**2 - 4*w - 3. Let m(q) = -q**2 - q. Suppose 7*g - 26 = 4*j + 9*g, -3*g - 15 = 2*j. Let n be (j - -1) + (-52)/(-6 - 7). What is n*i(r) + 4*m(r)? 3*r**2 + 3 Let f(g) = 134*g**3 - 7*g**2 + 2*g - 48. Let k(q) = 268*q**3 - 13*q**2 + 4*q - 88. Determine 11*f(h) - 6*k(h). -134*h**3 + h**2 - 2*h Let o(p) = 20*p**3 - 11*p**2 + 11*p - 11. Let c(g) = 5*g**3 - 3*g**2 + 3*g - 3. Let d = 10356 + -10362. Calculate d*o(u) + 22*c(u). -10*u**3 Let y(v) = v - 3*v + 3*v. Suppose -2*c + 1 + 5 = 0, 14 = n + 3*c. Suppose -37 + 12 = n*b. Let f(u) = -u**2 + 6*u - 2. Give b*y(s) + f(s). -s**2 + s - 2 Let w(l) = 20*l**3 + 4*l**2 - 6*l. Let p(k) = 19*k**3 + 5*k**2 - 7*k. Let o = -441 - -447. Determine o*p(z) - 7*w(z). -26*z**3 + 2*z**2 Let a(u) = 32*u**2 + 7*u. Let s(d) = -11*d**2 - 2*d. Suppose -8 = 2*q + 4*x, 16 = -19*q + 21*q - 4*x. Give q*a(m) + 7*s(m). -13*m**2 Let g(s) = -4*s**2 + 3. Let u(r) be the second derivative of r**4/4 - 2*r**2 + r. Let h = 11773 - 11775. Determine h*u(t) - 3*g(t). 6*t**2 - 1 Let w(h) = -63*h + 100. Let m be w(2). Let i(g) = -g - 3. Let v(f) = 5*f + 13. What is m*i(y) - 6*v(y)? -4*y Let o(a) = a**3 - 13*a**2 + 1. Let d(s) = 4*s**3 - 53*s**2 + 4. Let m = 2884 + -2875. Calculate m*o(y) - 2*d(y). y**3 - 11*y**2 + 1 Let n(q) = -6*q - 61. Let z(s) = -s - 12. Let f = 5908 + -5897. What is f*z(a) - 2*n(a)? a - 10 Let d(m) be the first derivative of -4*m**3/3 + m**2 + m + 53038. Let p be ((-1)/4)/(1/(-20)). Let v(c) = 3 - 2 - 3 - 3*c + 6*c**2. Give p*v(l) + 8*d(l). -2*l**2 + l - 2 Let w(m) = 2*m - 10*m + 2468*m**2 - 2474*m**2 - 2. Let b(c) = 2*c**2 + 5*c**2 + 306*c + 2 - 606*c + 309*c. What is -5*b(l) - 6*w(l)? l**2 + 3*l + 2 Let i = 35 + 21. Let t be i/196 - 23/7. Let l(y) = -2*y**2 - 5*y - 2. Let r(c) = 4*c**2 + 9*c + 4. Calculate t*r(b) - 5*l(b). -2*b**2 - 2*b - 2 Let d(k) = 11*k + 5. Let m(b) = -b + 8*b + 2 - 2*b. Suppose 11*n - 10*n + 2*y + 7 = 0, 0 = -n + 5*y. Calculate n*m(j) + 2*d(j). -3*j Let t(p) = 145*p**2 - 2*p - 12. Let m(k) = -k**2 + k - 2. Determine 6*m(d) - t(d). -151*d**2 + 8*d Let o(k) = 1. Let a(y) = 4*y + 9. Let i(u) be the second derivative of 5*u**3/6 - 7*u**2/2 - 54*u. Let c be i(1). Determine c*a(m) + 18*o(m). -8*m Let v(z) = -25*z**2. Let a be v(-1). Let c be -5*((-615)/a)/(-3). Suppose -46*x - 10 = -c*x. Let d(n) = 4*n**2. Let s(y) = -y**2. What is x*s(u) - d(u)? -2*u**2 Let x(k) = -9*k**3 + 62*k**2 + 3*k - 4. Let r(y) = 49*y**3 - 310*y**2 - 16*y + 21. Calculate -2*r(i) - 11*x(i). i**3 - 62*i**2 - i + 2 Let y(w) be the third derivative of -w**4/24 + w**3/6 + 1070*w**2. Let g(l) = l - 2. Determine 4*g(x) + 7*y(x). -3*x - 1 Suppose 7*t = -36 + 29. Let i be (t - (-2)/3)*21. Let b(l) = -5*l**3 + 11*l**2 - 7*l - 11. Let x(d) = 3*d**3 - 6*d**2 + 4*d + 6. What is i*x(f) - 4*b(f)? -f**3 - 2*f**2 + 2 Let w(x) = -4*x + 5. Let b(u) = 75*u + 533. Let g be b(-7). Let k(p) = -11*p + 14. Calculate g*w(h) - 3*k(h). h - 2 Let w(x) = 2*x**3 - 4*x**2 - x. Let q(j) = -4 + 5*j + 10*j**3 + 18 - 14 - 20*j**3 + 21*j**2. Let g be (((-12)/27)/((-14)/63))/1. Determine g*q(o) + 11*w(o). 2*o**3 - 2*o**2 - o Let a(d) = -16*d + 18. Let w(h) be the second derivative of h**3/6 - h**2/2 + 3*h + 68. Give -2*a(f) - 36*w(f). -4*f Let w(n) = -5*n + 1. Let r = -13098 - -13100. Let d(m) = 4*m - 2. Determine r*w(o) + 3*d(o). 2*o - 4 Let r(z) = 10*z - 19. Let h(i) = 4*i - 29 + i + 33 - 7*i. Suppose 66 = 4*x + 22. Give x*h(w) + 2*r(w). -2*w + 6 Let f(l) = -5533*l**2 + 11*l - 31. Let n(b) = -1844*b**2 + 4*b - 11. Determine 5*f(y) - 14*n(y). -1849*y**2 - y - 1 Let t(r) = 4*r**2 + 89*r + 76. Let h(y) = -y**2 - 20*y - 19. Give 9*h(k) + 2*t(k). -k**2 - 2*k - 19 Let w(z) = -15*z - 1. Let p(k) = 29*k + 2. Let d(f) = 6*f**2 - 144*f + 380. Let a be d(21). Calculate a*p(r) + 5*w(r). -17*r - 1 Let u(a) = -29*a**3 - 8*a + 5. Let x(b)
{ "pile_set_name": "DM Mathematics" }
= z + -1.91. What is f rounded to the nearest integer? -2 Let y = -127.3 + 141.04. Let l = -3.33 - y. Let r = -17 - l. What is r rounded to one dp? 0.1 Let x = 15 + -16.8. Let h = 1807.5 + -1809.3018. Let a = x - h. What is a rounded to 3 decimal places? 0.002 Let s = -91.74 - -91. Let c = 0.06 - s. Let t = 1.53 - c. What is t rounded to 1 dp? 0.7 Let i = 19 + -18.9999966. What is i rounded to six decimal places? 0.000003 Let k = 1562 - 1028. Suppose 3*f - k = 2376. What is f rounded to the nearest one hundred? 1000 Let r = -19 - -13. Let a = 6.0003 + r. What is a rounded to three decimal places? 0 Let j = 0.01027 + 0.009725. Let m = j - 0.02. Round m to 5 decimal places. -0.00001 Let n = -7.8 - -7.799896. What is n rounded to 5 dps? -0.0001 Suppose 101 = -2*q - 3. Let t be (-613)/13 + (-8)/q. Round t to the nearest ten. -50 Let l = -5 + 3.5. Round l to zero dps. -2 Let l = -0.5000009 - -0.5. Round l to 7 decimal places. -0.0000009 Suppose -2643742 = -h - 93742. What is h rounded to the nearest 1000000? 3000000 Let g be -1*4*12/16. Let t be (-2)/3 - 2160002/g. What is t rounded to the nearest one hundred thousand? 700000 Suppose -3*g = -2*g + 33000. Round g to the nearest ten thousand. -30000 Let v = -129 + 128.9894. Let c = -0.028 - v. Round c to 3 dps. -0.017 Let q = 0.75 - -0.04. What is q rounded to one decimal place? 0.8 Suppose z = 4*q - 15, -z = -1 - 4. Let s be (40/(-3))/q*1725000. What is s rounded to the nearest 1000000? -5000000 Let k = 58.822 + -59. Round k to 2 decimal places. -0.18 Let z = -17 - 7. Let s = z + 23.9999974. Round s to 6 dps. -0.000003 Let t = -150.45602 - -149.1360139. Let d = -1.32 - t. Round d to six dps. 0.000006 Let u = -180.7 - -180.69998657. Round u to 6 dps. -0.000013 Let v be 647982/(-72) + (-2)/(-16)*-2. Round v to the nearest one thousand. -9000 Let i = 0.46 + -110.46. Let h = 282909.251 + -283019.2510087. Let v = h - i. What is v rounded to six dps? -0.000009 Let b = -20.1 - -18. Let m = b - 3.4. Let c = m + 4.88. Round c to one dp. -0.6 Let g(t) = 3*t + t**2 - t - 8 + 3*t. Let j be g(-6). Let r(d) = 300*d**3 + d**2 + d - 2. Let x be r(j). What is x rounded to the nearest one thousand? -2000 Let y = 519.00000269 - 519. Round y to six dps. 0.000003 Let q = 113371.54 - 113277.53926. Let w = 1.13 + 92.87. Let r = q - w. Round r to 4 decimal places. 0.0007 Suppose -l + 2*q + 30104 = 0, -3*l + 2*q + 90302 = q. Round l to the nearest 1000. 30000 Let q be 1 + 0 - (-9 + 6). Suppose -q*b = 15 - 39. Round b to the nearest 10. 10 Let a = -436.9158 + 437. Let k = a - 0.078. What is k rounded to 3 decimal places? 0.006 Let o = 647.0000267 - 647. What is o rounded to 6 dps? 0.000027 Let m = -0.14 + 0.24. Let n = -0.10048 + m. Round n to four decimal places. -0.0005 Let u(p) = 0 + 81921*p**2 + 200579*p**2 - p - 2. Let l be u(-2). What is l rounded to the nearest one hundred thousand? 1100000 Let l = 1 + 1.2. Round l to the nearest integer. 2 Let f = 0.09 - -0.21. Let g = f + -2.3. Let z = g - -2.06. What is z rounded to one decimal place? 0.1 Suppose -2*j = -7*j + 2650000. What is j rounded to the nearest one hundred thousand? 500000 Suppose -3930521 = 5*f - 19911901. Suppose 716272 - f = -4*w + 4*o, -2 = 2*o. Round w to the nearest 100000. 600000 Let x = -0.06583 + 76.56333. Let t = x + -77.5. Let b = 1 + t. What is b rounded to three decimal places? -0.003 Let s = -8.72 - -1.03. Round s to the nearest integer. -8 Suppose 10 = 5*d - u + 3*u, 0 = 3*d - u - 6. Let q be 3403 + (1 - 2) - d. Round q to the nearest 1000. 3000 Let t = 4.3 - 21.4. Round t to zero dps. -17 Let r = 2.1000003 - 2.1. Round r to six dps. 0 Let h(r) = 3802*r - 2. Let q be h(1). Round q to the nearest one thousand. 4000 Let v = -2 - -2.08. Let y = v - 0.08006. What is y rounded to 4 decimal places? -0.0001 Let t = -6 + 8. Suppose t*s = -0*s - 12. Let j be 16/s*42/4. What is j rounded to the nearest ten? -30 Let f = 416.00000203 + -416. Round f to seven decimal places. 0.000002 Let d = -97.9892 + 98. Round d to 3 decimal places. 0.011 Let f = -0.043 + 0.022. What is f rounded to 2 dps? -0.02 Let x = 492.9608 - -0.0392. Let c = 159 - x. Let t = 333.9847 + c. Round t to 3 dps. -0.015 Let u = 82.38 - 1.38. Let h = -182.37 - -101.8. Let a = h + u. What is a rounded to one dp? 0.4 Let z = -32158496 - -32158498.99999976. Let o = z - 3. What is o rounded to 7 dps? -0.0000002 Let k = 0.0830077 + -0.083. What is k rounded to six decimal places? 0.000008 Let n = 16 + -15.963. Let o = 2.737 - n. Round o to 0 decimal places. 3 Let a be 2/(-3) + (-2)/6. Let w = a - -5. Let k be (146/w)/(2/40). Round k to the nearest 100. 700 Let s = -4750 + 6710. Let n be (s/(-5))/((-4)/(-50)). Round n to the nearest 1000. -5000 Let t = 174.5 - 28.5. Let d = t - 63. Let m = -83.0059 + d. What is m rounded to 3 decimal places? -0.006 Suppose 4*a + 286 - 1090 = -4*f, f = 0. Round a to the nearest ten. 200 Let c = 0.062 - -0.878. Round c to 1 dp. 0.9 Let a be (71 - 3)/(2/9). Suppose p + 4*b = 288, -5*b - a = -4*p + 909. Round p to the nearest 1000. 0 Let x = -38 - -35.3. Let a = -2.699989 - x. Round a to six dps. 0.000011 Let p = 9.14 + -9. Let s = p - 0.89. Round s to 1 dp. -0.8 Let p = -68.24 + 68.8483. Let s = 0.6 - p. Round s to three dps. -0.008 Let g = -0.97 + 1. Let f = -3.63 + g. Let n = f - -5.9. What is n rounded to 0 decimal places? 2 Suppose -r + 22 = 3*i, -3*i = -i - 10. Let t(g) = 442855*g + 15. Let k be t(r). What is k rounded to the nearest 1000000? 3000000 Let k = -5.6892 + 5.7. Round k to 3 dps. 0.011 Let r = -27.188 - -27. Let j = -0.14 - r. Let d = 0.04687 - j. Round d to 4 decimal places. -0.0011 Let u = 3 - 3.000014. What is u rounded to five decimal places? -0.00001 Let f(d) = -2*d - 5. Let m be f(-4). Suppose -3*i = 5*x + 3601 - 80406, m*x = -i + 25603. Suppose 2*z - i = 6*z. What is z rounded to the nearest one thousand? -6000 Let c be -5 + 15800004 + 5 - 2*2. Round c to the nearest one million. 16000000 Let i(l) = -l**2 + 11*l - 7. Let j be i(10). Suppose -3*b + 4857 = -2388. Suppose j*z = -3, 1431 + b = -5*u + 4*z. What is u rounded to the nearest one hundred? -800 Let j = 122.6 + -111. Let m = j + -16.65. Let q = 5 + m. Round q to two decimal places. -0.05 Let x = -203 + 803. Let a be (x/9)/((-5)/(-15750)). Round a to the nearest one hundred thousand. 200000 Suppose -2*c + 6*c - 4 = 4*n, -4*c + 22 = 2*n. Let u = -166205 + 674220. Suppose 3*q + u = 4*g, -10 = -n*q + 5*q. Round g to the nearest 10000. 130000 Let n(f) = -f**2 + 10*f - 11. Let z be n(9). Let d = 2 - z. Suppose 4*a - d*b - 304 = a, 0 = -3*a - 4*b + 296. What is a rounded to the nearest 10? 100 Let p = -6 + 8. Suppose 11 = -p*k + 6*k - 5*b, -5*k - b = 8. Let n be k + 59003 - 2*1. What is n rounded to the nearest ten thousand? 60000 Let d(z) = z - 1 - 1 + 4. Let j be d(0). Suppose 4*u + u + 2*g + 1356 = 0, 534 = -j*u + 2*g. Round u to the nearest one hundred. -300 Let s = 0.28 + -0.254. Let l = s + -0.0259959. Round l to six dps. 0.000004 Suppose 0*b = -b - 3*z - 2350015, -4*z - 2350020 = b. Round b to the nearest one million. -2000000 Let s be 12/16 + (-20727630)/8. Let m = s + 1290953. Round m to the nearest 1000000. -1000000 Let i = 22.2 - 4.2. Let t = 1665 - 1645.87. Let y = i - t. Round y to 1 decimal place. -1.1 Suppose 2*u + 3*s - 9 = 20, 2*s - 36 = -3*u. Let n = -7 + u. Let v be (-112500)/n*6/(-3). What is v rounded to the nearest 10000? 80000 Let n = -59 - -59.0175. What is n rounded to three dps? 0.018 Let l = -7.3 - -8. Let u = 4.7 - l. Let v = u - 3.9999999. What is v rounded to seven dps? 0.0000001 Let d = -12.6 - -0.6. Let p = d + 11.9999986. What is p rounded to six decimal places? -0.000001 Let o = -1.7 - -0.8. Let w = 1.80068 + -0.90106. Let b = o + w. What is b rounded to four decimal places? -0.0004 Let r be -157341*3/(-9)*2. Suppose r = 3*b - 60106. Suppose 0*u = -u + b. Round u to the nearest ten thousand. 60000 Let a be (-910)/(-4) + (-3)/2. Round a to the nearest ten. 230 Let u = -34.136824 + 33.91682409. Let c = 17.78 + -18. Let p = c - u. What is p rounded to seven dps? -0.0000001 Let s = 7.1 + -7. Let g = -0.0936 + s. Round g to 3 decimal places. 0.006 Suppose 2*u + 1 = 3. Let m be u/(-2) - 36/(-8). Suppose -4*f = -5*i - 24016, -2*i + m*i = -3*f - 9588. Round i to
{ "pile_set_name": "DM Mathematics" }
e of 22 and 341? 682 What is the common denominator of -73/1520 and 1/2432? 12160 Calculate the common denominator of -43/600 and -99/10. 600 What is the least common multiple of 6 and 904? 2712 What is the least common multiple of 73 and 3? 219 What is the common denominator of -81/16 and -127/18? 144 What is the smallest common multiple of 11 and 166? 1826 Calculate the least common multiple of 1989 and 42. 27846 Find the common denominator of 73/1194 and 9/14. 8358 Find the common denominator of -61/2250 and 17/4500. 4500 Calculate the lowest common multiple of 130 and 52. 260 What is the least common multiple of 100 and 330? 3300 What is the lowest common multiple of 102 and 3? 102 Calculate the lowest common multiple of 14 and 240. 1680 What is the smallest common multiple of 2334 and 14? 16338 Calculate the least common multiple of 253 and 230. 2530 Calculate the common denominator of -71/154 and 145/18. 1386 Calculate the lowest common multiple of 6 and 11251. 67506 What is the lowest common multiple of 32 and 112? 224 What is the common denominator of -13/50 and -41/4855? 48550 Calculate the least common multiple of 14 and 8. 56 Find the common denominator of 1/572 and 59/156. 1716 Calculate the smallest common multiple of 22 and 674. 7414 What is the lowest common multiple of 337 and 4? 1348 Find the common denominator of 46/189 and -65/42. 378 Calculate the lowest common multiple of 6 and 4710. 4710 Calculate the least common multiple of 21 and 597. 4179 What is the least common multiple of 560 and 18? 5040 What is the common denominator of -67/330 and -79/22? 330 What is the smallest common multiple of 34 and 153? 306 Calculate the lowest common multiple of 2937 and 88. 23496 Calculate the lowest common multiple of 1241 and 3. 3723 Calculate the least common multiple of 54 and 36. 108 What is the lowest common multiple of 32 and 112? 224 Calculate the common denominator of 43/40 and 7/16. 80 What is the common denominator of -107/160 and -27/320? 320 Calculate the common denominator of -109/20 and -74/15. 60 What is the common denominator of 5/139 and -91/6? 834 What is the least common multiple of 7 and 49? 49 Calculate the least common multiple of 2356 and 72. 42408 What is the smallest common multiple of 169 and 5? 845 Find the common denominator of -51/10 and 101/32. 160 What is the lowest common multiple of 224 and 196? 1568 What is the common denominator of 41/2272 and -5/28? 15904 What is the smallest common multiple of 393 and 131? 393 Calculate the common denominator of 7/68 and 61/14. 476 What is the common denominator of 12/25 and -59/20? 100 What is the common denominator of -93/4 and 36/413? 1652 What is the common denominator of 187/30 and 79/20? 60 Find the common denominator of 91/2594 and 20. 2594 Calculate the common denominator of 61/2214 and 5/24. 8856 Calculate the least common multiple of 98 and 98. 98 Find the common denominator of -7/972 and -121/486. 972 What is the smallest common multiple of 284 and 26? 3692 What is the common denominator of -101/4190 and -23/10056? 50280 What is the smallest common multiple of 190 and 20? 380 What is the lowest common multiple of 8 and 650? 2600 Calculate the common denominator of -23/78 and -101/78. 78 What is the lowest common multiple of 7 and 70? 70 Calculate the common denominator of -77/16 and 29/42. 336 What is the least common multiple of 70 and 238? 1190 Calculate the common denominator of -47/30 and -62/25. 150 Calculate the smallest common multiple of 322 and 20. 3220 What is the smallest common multiple of 12 and 36? 36 Calculate the lowest common multiple of 108 and 324. 324 Find the common denominator of -29/16 and 51/2. 16 What is the least common multiple of 6 and 14427? 28854 What is the least common multiple of 440 and 120? 1320 What is the common denominator of 101/40 and 69/88? 440 Calculate the common denominator of 31/1650 and 71/4. 3300 What is the smallest common multiple of 14 and 4? 28 Calculate the least common multiple of 2 and 602. 602 What is the common denominator of -23/12 and -49/8324? 24972 Calculate the least common multiple of 1183 and 4732. 4732 What is the least common multiple of 1 and 61? 61 What is the lowest common multiple of 40 and 22? 440 What is the lowest common multiple of 6 and 15? 30 Calculate the common denominator of 99/764 and -61/6. 2292 Find the common denominator of -59/50 and 107/60. 300 Find the common denominator of 119/460 and -63/1472. 7360 Calculate the common denominator of -51/1250 and -21/250. 1250 Find the common denominator of -10/1949 and 68/9. 17541 Find the common denominator of -61/900 and -133/750. 4500 What is the common denominator of -3/34 and 17/9? 306 Calculate the lowest common multiple of 3977 and 194. 7954 Find the common denominator of -45/44 and -53/456. 5016 What is the common denominator of 31/88 and -81/2? 88 What is the lowest common multiple of 3 and 9? 9 Calculate the smallest common multiple of 460 and 4324. 21620 What is the common denominator of 7/6 and 11/1929? 3858 What is the common denominator of -1/16 and -59/100? 400 Calculate the smallest common multiple of 1280 and 8. 1280 Calculate the smallest common multiple of 20 and 80. 80 Calculate the smallest common multiple of 2380 and 8. 4760 Calculate the lowest common multiple of 2691 and 169. 34983 Calculate the lowest common multiple of 472 and 12. 1416 What is the least common multiple of 17 and 102? 102 Calculate the least common multiple of 76 and 352. 6688 What is the least common multiple of 1478 and 2? 1478 Calculate the least common multiple of 136 and 4199. 33592 What is the smallest common multiple of 234 and 598? 5382 Calculate the least common multiple of 66 and 18408. 202488 Calculate the lowest common multiple of 897 and 5. 4485 Calculate the lowest common multiple of 2 and 3563. 7126 What is the lowest common multiple of 9 and 1527? 4581 What is the lowest common multiple of 4 and 62? 124 What is the lowest common multiple of 45 and 5? 45 Calculate the least common multiple of 45 and 120. 360 What is the common denominator of 47/15 and -103/165? 165 What is the common denominator of -107/154 and 25/308? 308 Calculate the common denominator of -149/270 and 95/198. 2970 What is the common denominator of -15/98 and 115/238? 1666 Calculate the least common multiple of 234 and 65. 1170 What is the common denominator of 91/114 and -17/228? 228 What is the lowest common multiple of 42 and 3906? 3906 What is the common denominator of -1/98 and 17/511? 7154 Calculate the lowest common multiple of 184 and 92. 184 Calculate the common denominator of -37/6462 and 77/6. 6462 Calculate the smallest common multiple of 3 and 1063. 3189 Find the common denominator of 67/9 and -73/9. 9 Calculate the lowest common multiple of 54 and 54. 54 What is the common denominator of -45/299 and -61/3? 897 What is the least common multiple of 120 and 60? 120 Calculate the common denominator of -5/531 and 104/315. 18585 Calculate the least common multiple of 14 and 438. 3066 Calculate the common denominator of 79/156 and 127/156. 156 Find the common denominator of -17/178 and 83/18. 1602 What is the lowest common multiple of 225 and 855? 4275 What is the smallest common multiple of 14 and 7? 14 Calculate the least common multiple of 182 and 364. 364 What is the smallest common multiple of 320 and 448? 2240 Find the common denominator of -4 and 37/528. 528 Calculate the smallest common multiple of 18 and 12. 36 Calculate the least common multiple of 36 and 4. 36 Calculate the least common multiple of 39 and 11. 429 Calculate the smallest common multiple of 2 and 302. 302 Calculate the lowest common multiple of 100 and 160. 800 Find the common denominator of 41/56 and -131/336. 336 Calculate the common denominator of 109/660 and -103/198. 1980 What is the least common multiple of 44 and 2580? 28380 Calculate the lowest common multiple of 2024 and 1656. 18216 Calculate the lowest common multiple of 265 and 15. 795 Find the common denominator of 61/3030 and -25/2424. 12120 Calculate the lowest common multiple of 780 and 45. 2340 What is the common denominator of -22/5 and 47/20? 20 Find the common denominator of -43/34 and 113/18. 306 What is
{ "pile_set_name": "DM Mathematics" }
-0.9. -0.81954 What is -79386.6 times 0.4? -31754.64 What is the product of 0.0355 and -3.34? -0.11857 Work out 0.1 * -237. -23.7 Calculate 784*-80. -62720 -8060*-101 814060 -1211 * -89.3 108142.3 -0.0300589*2 -0.0601178 Calculate -102*-0.67. 68.34 Work out 0.62624 * 0.4. 0.250496 What is -32971 times -2? 65942 1040721 * -0.3 -312216.3 215*-1133 -243595 Calculate 0.025*-0.1262. -0.003155 Work out 77750 * 2. 155500 1.483 times 14.6 21.6518 -15.36*2 -30.72 249.4*0.0338 8.42972 -5246.1 * -5 26230.5 Work out 375 * 388. 145500 What is 10511 times 0.5? 5255.5 -0.474 times -204 96.696 274641 times -0.1 -27464.1 Product of -30526 and -13. 396838 Product of -105804 and -0.1. 10580.4 -95634.7 * -0.3 28690.41 Calculate 2*1031089. 2062178 Work out -0.3 * -21.2. 6.36 Product of 287096 and -0.2. -57419.2 Product of 9 and 12033. 108297 Work out -4072 * -9. 36648 Multiply -3 and -2857. 8571 Work out 0.27858 * 0.4. 0.111432 21085 times -1 -21085 Calculate 0.039*-1461. -56.979 Product of 534 and 188. 100392 Calculate -83*-492.9. 40910.7 Work out -8740 * 7. -61180 Work out 1134 * 0.109. 123.606 Multiply -2317 and -11.9. 27572.3 -0.02 * 40084 -801.68 What is the product of 4 and -0.218186? -0.872744 What is the product of 18990 and 2.68? 50893.2 What is 26.5 times -2610? -69165 -8497 times 95 -807215 1 * -0.5906 -0.5906 Product of 0.097345 and 0.1. 0.0097345 What is -1988 times -36? 71568 Calculate -1123*2. -2246 Multiply -1.2 and -12826. 15391.2 What is 1.796 times -0.83? -1.49068 Work out -44.13 * 2. -88.26 353818 * 0.19 67225.42 Work out -0.44 * 0.18. -0.0792 -1*130045 -130045 Work out -74203 * -0.4. 29681.2 -0.001*-0.22262 0.00022262 -0.18 * -0.2339 0.042102 -36*1230 -44280 5 times -2268.53 -11342.65 Multiply 6040.94 and 0.2. 1208.188 Work out 0.8828 * 221. 195.0988 What is 92 times -0.4777? -43.9484 -61.011*4 -244.044 What is the product of 7 and -318.85? -2231.95 Calculate -144413*-0.5. 72206.5 Work out 673 * 113. 76049 Calculate -5*-10858.83. 54294.15 Multiply 0.16 and -1501. -240.16 0.5 * 817947 408973.5 What is the product of 0.68 and -901? -612.68 417850*0.3 125355 -8 * 1.892 -15.136 Work out -3.6 * -0.14907. 0.536652 Calculate 1*-837169. -837169 Calculate -10117*4. -40468 Calculate 134.3*-8.75. -1175.125 Work out 1951 * 0.9. 1755.9 What is the product of 0.025166 and 0.3? 0.0075498 What is the product of -4622 and 72? -332784 What is the product of 473972 and -0.1? -47397.2 264 * 933 246312 Work out -0.053 * -4936. 261.608 What is 634516 times -0.4? -253806.4 What is 1024926 times 0.2? 204985.2 Multiply 0.03 and -2600. -78 -0.077 * 31550 -2429.35 -0.065 times -564 36.66 Multiply 9 and 361.05. 3249.45 29.462*-8 -235.696 -1782870 * 0.4 -713148 -0.13981*-10 1.3981 Product of -0.02 and -106918. 2138.36 10 * 4155 41550 What is the product of -6838 and -0.6? 4102.8 -152547 times -0.4 61018.8 What is the product of 3 and -32405? -97215 -76*-0.14 10.64 -55215 times 0.01 -552.15 -151449 times 0.3 -45434.7 9716.6 times -0.01 -97.166 What is 0.0868 times 786? 68.2248 What is -843 times 1.071? -902.853 Multiply -751 and 0.07. -52.57 What is 0.4 times -112.72? -45.088 -5833*0.65 -3791.45 Multiply 503461 and -3. -1510383 Work out -24 * -182.4. 4377.6 Multiply 0.19 and -0.501. -0.09519 Multiply 2 and -13.057. -26.114 4 * 456.84 1827.36 Calculate 2*-27956. -55912 What is the product of -10.592 and -0.1? 1.0592 Work out 13 * -126689. -1646957 Work out 357 * -0.07. -24.99 Product of 1113535 and -5. -5567675 Product of -2108 and 8. -16864 Product of 20024.3 and 5. 100121.5 Calculate -0.3*-461182. 138354.6 Calculate -64.447*1. -64.447 Product of 0.4 and 197941. 79176.4 Multiply 0 and -53217. 0 Work out -0.25161 * -9. 2.26449 Work out 0.12 * 17948. 2153.76 -2*119832 -239664 What is 27.5 times -228? -6270 Calculate 45*322.5. 14512.5 What is -189.89 times 5? -949.45 Multiply -5300 and 98. -519400 -0.747*120 -89.64 Calculate -0.9*133927. -120534.3 0.132933 times 5 0.664665 -0.072 * -2550 183.6 What is 0 times -14212? 0 1136883 * -0.2 -227376.6 Work out -1.7 * -365.56. 621.452 What is the product of -97372 and 0.3? -29211.6 0.22 * 21401 4708.22 Product of -97 and -0.0271. 2.6287 751979 * 0.5 375989.5 Product of 1939 and 171. 331569 Multiply -15928 and -0.1. 1592.8 What is 0.836 times -29.6? -24.7456 Calculate 35.88*-187. -6709.56 Product of 143926 and -0.3. -43177.8 Product of 0.005 and -3.474. -0.01737 Work out 0.4 * 84595. 33838 Multiply -1.203 and -8.4. 10.1052 What is the product of 0 and 9810? 0 What is the product of -230 and -0.0227? 5.221 Calculate 0.066198*-0.5. -0.033099 Multiply 52.5 and -0.339. -17.7975 What is the product of -0.4 and 15193? -6077.2 Work out 19683 * 0.8. 15746.4 Product of -30 and -0.0866. 2.598 0.2 times 0.02075 0.00415 -41.23 * 140 -5772.2 Product of -0.1 and 24.7974. -2.47974 Multiply 28.3 and -14. -396.2 -3.5*0.34 -1.19 Product of 1 and -56186. -56186 -1*0.0213116 -0.0213116 -4429 times 0.3 -1328.7 Multiply -0.3 and -29684. 8905.2 -68*0.2101 -14.2868 Calculate -711.174*-1. 711.174 Calculate 17*4.659. 79.203 Multiply -0.5 and 137.71. -68.855 Multiply 3 and -61.807. -185.421 22 times 33.77 742.94 Calculate 1422268*-2. -2844536 What is the product of -0.01473 and 53? -0.78069 What is 360 times -0.06? -21.6 What is the product of -3 and -83029? 249087 Product of -1.89 and 0.00889. -0.0168021 Product of 0.2 and -2.232. -0.4464 -4 * 9662 -38648 Calculate 0.3*1972.7. 591.81 Multiply -0.06 and -65351. 3921.06 4167 * -0.999 -4162.833 Calculate 240*-2.05. -492 -3.9868*18 -71.7624 Multiply -101014 and -0.04. 4040.56 Work out -1126 * 0.032. -36.032 Work out 60606.03 * -0.3. -18181.809 Calculate -48*0.2607. -12.5136 -216 * -0.4461 96.3576 Multiply 3805 and 45. 171225 Work out 13 * -0.063. -0.819 0.04 times 0.00724 0.0002896 -0.2616 times -8 2.0928 0.2 * 0.075603 0.0151206 18373*39 716547 2.34 times -0.19 -0.4446 -84.622 * 2.3 -194.6306 Product of -0.5 and -113126. 56563 Multiply 78 and -0.15857. -12.36846 What is -842 times -21? 17682 Product of -2 and -24488. 48976 Product of 279975 and -3. -839925 Product of -2211999 and 1. -2211999 0.5 times -111017 -55508.5 Work out -50.148 * 0.19. -9.52812 What is -0.00361 times -0.718? 0.00259198 Work out 8 * -2514.6. -20116.8 Calculate 0.09*-6253. -562.77 Product of 12 and 5142. 61704 Work out 0.5 * 119246. 59623 -2439805 times 0 0 Product of -12711 and -343. 4359873 Product of -84 and 0.162. -13.608 What is the product of 5 and -3.30034? -16.5017 Multiply 123.43 and 1. 123.43 Multiply -0.24 and -16582. 3979.68 Multiply 0.06257364 and 4. 0.25029456 5.1 * 7501 38255.1 What is the product of 0 and 88.96? 0 Product of -0.132235 and 0.4. -0.052894 Calculate -2*-746. 1492 Calculate 255*-43. -10965 Work out 41.88 * -193. -8082.84 0.3*-0.064857 -0.0194571 -2.1 times -1.4362 3.01602 Calculate 0.068*33.12. 2.25216 49*296.8 14543.2 What is -7.74 times 754? -5835.96 Product of -15294 and 162. -2477628 What is -0.8 times -1053? 842.4 Product of 707 and -885. -625695 What is -2.52 times -3.13? 7.8876 Product of 2.04 and 165.6. 337.824 Calculate 15*0.333. 4.995 Work out -1596.1 * 1. -1596.1 Product of -1543 and -0.31. 478.33 -7029*-0.4 2811.6 Product of -32 and 9893. -316576 Calculate -3*-322.6. 967.8 6 * 0.4472 2.6832 Work out -4477 * -0.11. 492.47 121 times -6.1 -738.1 What is the product of 0.1 and 21296? 2129.6 Product of -0.03 and 29204.5. -876.135 20676 * -11 -227436 Product of -1 and 250.597. -250.597 198.36 * 5 991.8 Multiply -4467 and 0.24. -1072.08 What is the product of -5.8693 and 90? -528.237 30656.48 * -0.2 -6131.296 Multiply -93.0026 and -2. 186.0052 Work out 15 * -0.3523. -5.2845 What is 407 times 2.31? 940.17 Multiply 0.1996 and 7. 1.3972 9.4 times -297.44 -2795.936 What is the product of 0.358 and 1.51? 0.54058 Multiply 0.23848 and -4. -0.95392 -57.3 * -0.027 1.5471 600 times -3209 -1925400 What is the product of 1.357 and 180? 244.26 Calculate -4996*0.09. -449.64 Multiply -17.8 and 2.04. -36.312 What is the product of 10 and -2955? -29550 5845 * 0.02 116.9 3125.92 times 0.2 625.184 Product of -445 and -2.85. 1268.25 What is -0.4 times 15011? -6004.4 1 times 2201 2201 What is -6 times -2121.8? 12730.8 -297.8 * -0.053 15.7834 Product of 0.5 and -4.08543. -2.042715 Multiply 426 and -4876. -2077176 Multiply -1
{ "pile_set_name": "DM Mathematics" }
w(-7). 0 Let d(i) = -i**3 + 6*i**2 - 5*i - 7. What is d(5)? -7 Let a(b) = 18*b + 17. What is a(-4)? -55 Let m(s) = -s**3 + 14*s**2 - 24*s + 3. What is m(12)? 3 Let t(l) = 2*l**2 + 48*l + 55. Give t(-22). -33 Let v(c) = 5*c**2 + 47*c + 13. Give v(-9). -5 Let x(i) = -i**3 + 6*i**2 + 3*i - 4. What is x(3)? 32 Let l(s) = -43*s - 454. Calculate l(-11). 19 Let w(t) = -26*t + 86. Determine w(7). -96 Let a(j) = j + 20. What is a(17)? 37 Let v(g) = -g**3 - g**2 + 2*g. Give v(0). 0 Let f(r) = r**3 - 7*r**2 + 5*r + 8. What is f(6)? 2 Let j(i) = -i**3 + 24*i**2 + 24*i + 32. Determine j(25). 7 Let s(j) = -34*j + 384. Calculate s(11). 10 Let p(n) = n**3 - 2*n**2 - 2*n + 2. Calculate p(-2). -10 Let a(d) = d - 15. What is a(15)? 0 Let z(v) = v**2 + 18*v - 17. Calculate z(-16). -49 Let w(p) = -p**3 - 4*p**2 + 4. What is w(-5)? 29 Let p(a) = 8*a**2 - 12*a + 2. Determine p(2). 10 Let s(b) = b**3 + b**2 - b + 1. Determine s(1). 2 Let k(g) = 4*g + 2. Calculate k(-1). -2 Let n(k) = -3*k**2 + 77*k + 26. What is n(26)? 0 Let c(g) = -14*g + 113. Give c(8). 1 Let z(c) = c + 9. Calculate z(-10). -1 Let w(v) = -5*v**2 + 3*v + 1. Determine w(-2). -25 Let b(w) = 3*w**2 + 2*w - 2. What is b(-3)? 19 Let g(n) = n**3 + 4*n**2 + n + 11. Determine g(-4). 7 Let g(j) = j**3 + 13*j**2 + 14*j + 2. What is g(-12)? -22 Let u(l) = -2*l - 59. Give u(-26). -7 Let v(o) = -2*o**3 - 48*o**2 + 2*o + 52. What is v(-24)? 4 Let d(n) = n + 10. What is d(0)? 10 Let r(a) = -a - 10. Give r(-7). -3 Let s(r) = 15*r - 136. Calculate s(9). -1 Let p(r) = 3*r - 42. Give p(14). 0 Let r(z) = -z**3 - 4*z**2 - 2*z - 2. Calculate r(-4). 6 Let f(d) = -d**3 + 4*d**2 + 7*d - 2. Calculate f(5). 8 Let o(g) = -7*g**3 - 2*g**2 - 3*g - 4. Give o(-2). 50 Let s(j) = -j**3 + 7*j**2 + 5*j + 4. Give s(7). 39 Let b(q) = 25*q - 114. What is b(5)? 11 Let o(m) = -2*m**3 + m**2 + 7*m - 10. Calculate o(2). -8 Let y(n) = -n**3 + 2*n**2 + n + 13. Give y(0). 13 Let y(h) = -h**2 + 14*h. What is y(12)? 24 Let v(c) = 7*c + 308. Calculate v(-42). 14 Let v(m) = -10*m - 1. Give v(6). -61 Let q(y) = -y**3 + 6*y**2 + 5*y + 12. Determine q(7). -2 Let s(i) = -i**3 + 8*i**2 + 2*i + 3. Give s(9). -60 Let l(r) = -r**2 - 7*r + 2. Calculate l(-8). -6 Let p(n) = -n**2 + 11*n - 19. What is p(8)? 5 Let p(y) = -5*y**3 + 2*y**2 - 4*y + 3. Give p(2). -37 Let v(g) = -3*g**2 + 51*g - 9. Determine v(17). -9 Let v(j) = -11*j + 2. Calculate v(2). -20 Let m(g) = g**3 - 3*g**2 - 12*g + 15. Determine m(5). 5 Let m(h) = -h + 28. Calculate m(-5). 33 Let w(k) = 2*k**3 - 3*k**2 + k + 2. Give w(2). 8 Let b(i) = 18*i - 1. Determine b(1). 17 Let w(b) = -3*b - 9. Determine w(2). -15 Let y(i) = i**2 + 11*i - 1. Determine y(-6). -31 Let a(h) = 5*h**2 - 57*h + 15. Calculate a(12). 51 Let l(o) = -4*o - 32. Calculate l(-5). -12 Let y(j) = j**3 - 8*j**2 + 11*j + 17. Determine y(5). -3 Let x(g) = -g**2 + 9*g + 48. Determine x(15). -42 Let p(x) = -49*x**2 + x - 1. What is p(1)? -49 Let f(s) = 17*s + 301. What is f(-18)? -5 Let w(k) = k**2 + 11*k + 14. Give w(-11). 14 Let k(w) = -w**2 - 7*w + 5. Determine k(-6). 11 Let f(c) = -c**3 - 20*c**2 + 18*c - 45. Give f(-21). 18 Let g(s) = s**3 - 36*s**2 - 9*s + 312. What is g(36)? -12 Let y(h) = -h**3 - 15*h**2 + 18*h + 23. Give y(-16). -9 Let b(o) = -6*o**2 + 23*o + 72. What is b(6)? -6 Let r(g) = g + 18. Calculate r(21). 39 Let y(m) = m**3 + 10*m**2 + 2*m + 10. Give y(-10). -10 Let d(q) = 4*q - 2. Calculate d(-10). -42 Let z(b) = 41*b + 212. Determine z(-5). 7 Let v(i) = 2*i**3 + 6*i**2 - 3*i + 4. Calculate v(-4). -16 Let w(g) = -g**3 - 8*g**2 - 8*g - 9. What is w(-7)? -2 Let n(x) = x**2 + 10*x + 44. Give n(-9). 35 Let v(s) = s**3 - 15*s**2 + 16*s - 24. Give v(14). 4 Let m(s) = 7*s**3 + 2*s**2 + s + 5. Give m(-2). -45 Let p(v) = -5*v**2 - 7*v - 1. Give p(-4). -53 Let u(z) = z**3 + 22*z**2 - 15*z + 146. Give u(-23). -38 Let m(y) = -y**3 - 8*y**2 + 8*y - 11. Give m(-9). -2 Let l(t) = -2*t. Calculate l(2). -4 Let g(o) = 38*o**2 - 8*o - 1. Give g(1). 29 Let f(m) = m**3 - 25*m**2 + m - 23. Calculate f(25). 2 Let y(l) = -l - 6. Give y(-3). -3 Let n(o) = 13*o**2 - 2*o + 1. Calculate n(-2). 57 Let c(g) = -g**2 + 7*g + 1. Calculate c(4). 13 Let l(g) = 8*g - 6. Determine l(4). 26 Let p(i) = -i**2 + 3*i - 3. Give p(0). -3 Let c(t) = -9*t + 65. Determine c(8). -7 Let h(r) = r**3 + 6*r**2 - 3*r + 6. Determine h(-6). 24 Let f(d) = d**3 - d**2 + d + 13. Give f(0). 13 Let m(r) = r**3 + 4*r**2 - 14. Give m(-2). -6 Let i(p) = p**3 + 7*p**2 - 9*p + 19. Give i(-8). 27 Let i(x) = -x**2 + 61*x - 125. Calculate i(59). -7 Let m(j) = j**2 + 16*j + 60. Determine m(-6). 0 Let r(u) = -u**3 + 14*u**2 - 12*u - 29. What is r(13)? -16 Let t(i) = 6*i + 31. Determine t(-5). 1 Let w(i) = -i**3 + 13*i - 3. Determine w(3). 9 Let j(x) = -12*x**2 - 62*x - 7. Calculate j(-5). 3 Let v(r) = -r**2 - 9*r + 11. Calculate v(-10). 1 Let a(l) = 2*l**2 + 2*l - 6. Calculate a(2). 6 Let o(b) = -4*b + 9. Give o(-8). 41 Let g(q) = -2*q**3 - 6*q**2 - q - 5. Calculate g(-3). -2 Let y(w) = 2*w**2 + 21*w + 22. Determine y(-8). -18 Let b(y) = 5*y + 2. Give b(-4). -18 Let b(g) = -3*g**3 - g**2 - 1. Calculate b(1). -5 Let o(r) = r**2 + 9*r + 12. Determine o(-8). 4 Let m(a) = -80*a**3 + a**2 + a + 1. Calculate m(-1). 81 Let v(n) = -n**2 + 12*n + 54. Determine v(16). -10 Let h(x) = -10*x - 375. Calculate h(-37). -5 Let v(y) = y**3 + 4*y**2 + 3*y + 6. Calculate v(-4). -6 Let a(u) = 11*u - 2. Determine a(-5). -57 Let s(c) = -c**3 + 14*c**2 + 31*c + 12. Determine s(16). -4 Let r(b) = -b**3 - 2*b**2 + 2*b - 11. Calculate r(-4). 13 Let z(d) = -d + 75. Calculate z(-6). 81 Let p(z) = z**2 - 8*z + 22. Give p(5). 7 Let f(t) = t**3 + t**2 - 4*t - 3. What is f(-3)? -9 Let u(x) = 3*x - 2. What is u(8)? 22 Let w(s) = -63*s + 25. Calculate w(1). -38 Let n(b) = b**3 + 19*b**2 - 20*b + 14. Determine n(-20). 14 Let h(b) = 38*b**3. Determine h(1). 38 Let w(v) = v**2 + 9*v + 13. Give w(-4). -7 Let h(u) = -55*u + 332. What is h(6)? 2 Let y(l) = -l**3 + 7*l**2 - 8. What is y(7)? -8 Let n(h) = 3*h**2 - 5*h - 12. Determine n(5). 38 Let b(o) = -29*o**3 + o**2 + 4*o + 2. Determine b(-1). 28 Let q(p) = -2*p**2 + 6*p + 4. Determine q(-4). -52 Let h(x) = -x**2 + 8*x + 1. Give h(11). -32 Let d(k) = -4*k. Determine d(5). -20 Let n(w) = w**3 + 38*w**2 + 36*w - 49. Give n(-37). -12 Let d(k) = 57*k - 3. Calculate d(1). 54 Let a(b) = 6*b - 6. Determine a(4). 18 Let x(u) = u**3 + 12*u**2 + 21*u + 9. What is x(-10)? -1 Let m(w) = -w**2 + 14*w - 4. What is m(15)? -19 Let o(w) = -13*w + 86. Give o(12). -70 Let n(l) = l**3 - 4*l**2 - 14*l. Give n(6). -12 Let s(m) = 2*m**2 - 16*m + 31. What is s(6)? 7 Let j(h) = -3*h**2 + 6*h + 2. Calculate j(-5). -103 Let t(l) = 3*l + 17. Give t(-4). 5 Let n(h) = -h**3 - 9*h**2 - 7*h - 9. Give n(-7). -58 Let x(k) = k**3 + 23*k**2 + k + 29. Determine x(-23). 6 Let q(d) = -d**3 - 9*d**2 + d + 19. What is q(-9)? 10 Let o(y) = y - 1. Determine o(0). -1 Let i(a) = a**3 + 4*a**2 + a - 2. Determine i(-5). -32 Let w(x) = x**3 + 14*x**2 - 23*x + 1. Give w(-16). -143 Let r(w) = w**2 - w - 5. Calculate r(4). 7 Let v(i) = -i**2 + 10*i + 27. What is v(11)? 16 Let a(v) = -5*v - 2. Determine a(-4). 18 Let a(b) = -b**2 + 17*b - 18. Calculate a(16). -2 Let i(x) = -2*x + 23. Calculate i(6). 11 Let k(b) = b**2 - 21*b + 66. Calculate k(15). -24 Let n(u) = u**2 - 10*u + 1. Determine n(10). 1 Let v(x) = x**2 + 10*x + 34. Determine v(-5). 9 Let w(k) = -k**2 + 14*k. Give w(13). 13 Let w(a) = -a**3 + a**2 - 7. Determine w(0). -7 Let c(r) = -r**3 + 5*r**2 + 6*r + 3. What is c(6)? 3 Let y(f) = -2*f**3 + 8*f**2 + 3*f - 1. Calculate y(4). 11 Let l(d) = 2*d**2 + 4*d + 3. Calculate l(-5). 33 Let r(c) = -8*c + 99. Calculate r(11). 11 Let h(n) = -n**2 + 4*n + 7. Calculate h(6). -5 Let g(m) = 15*m - 6. Calculate g(-2). -36 Let l(c) = c**3 - 9*c**2 + 39*c - 244. Give l(8). 4 Let a(v) = v**2 - 33*v + 83. Give a(31). 21 Let w(f) = 6*f**3 + f - 1. Give w(1). 6 Let p(y) = 8*y - 11. Give p(0). -11 Let t(g) = -4*g**2 + 38*g - 18. Determine t(9). 0 Let l(i) = i**3 - 6*i**2 - 17*i - 1. Determine l(8). -9 Let k(c) = c**2 - 18*c + 24. What is k(15)? -21 Let j(g) = -5*g + 44. Calculate j(10). -6 Let p(n) = 8*n - 32. What is p(4)? 0 Let j(n) = -2*n - 3. Determine j(0). -3 Let z(b) = -b**3 - 7*b**2 - 3*b - 1. What is z(-6)? -19 Let j(i) =
{ "pile_set_name": "DM Mathematics" }
cking 2 a. 91/153 What is prob of picking 1 o and 1 f when two letters picked without replacement from {o: 1, n: 5, x: 5, p: 1, f: 2, c: 1}? 2/105 What is prob of picking 1 d and 2 i when three letters picked without replacement from jdddddddiiiid? 24/143 What is prob of picking 2 x when two letters picked without replacement from {x: 2, i: 7, e: 6}? 1/105 Two letters picked without replacement from {f: 3}. What is prob of picking 2 f? 1 What is prob of picking 1 r, 1 m, and 1 g when three letters picked without replacement from xmxssgssrxhs? 1/220 Calculate prob of picking 1 l and 2 f when three letters picked without replacement from lffffaafda. 1/12 What is prob of picking 3 e and 1 s when four letters picked without replacement from seex? 0 Two letters picked without replacement from {v: 1, j: 2, f: 4, y: 1}. Give prob of picking 1 y and 1 v. 1/28 What is prob of picking 3 u when three letters picked without replacement from hzzzzuuhzuuzuzu? 4/91 What is prob of picking 2 h, 1 k, and 1 w when four letters picked without replacement from {w: 2, k: 4, h: 2}? 4/35 Four letters picked without replacement from uououuuuuuuuuuuuou. Give prob of picking 4 u. 91/204 What is prob of picking 2 j when two letters picked without replacement from {i: 9, j: 3, d: 7}? 1/57 Two letters picked without replacement from {x: 4, o: 2}. Give prob of picking 2 x. 2/5 Four letters picked without replacement from iwwiiii. What is prob of picking 2 w and 2 i? 2/7 Four letters picked without replacement from {t: 4, q: 2, y: 2, c: 1, i: 5}. Give prob of picking 1 q, 2 y, and 1 i. 10/1001 Two letters picked without replacement from avyarvvvvvqayeq. Give prob of picking 2 v. 1/7 What is prob of picking 1 k and 1 s when two letters picked without replacement from {k: 3, s: 3}? 3/5 What is prob of picking 2 j and 1 t when three letters picked without replacement from ztjmtjtztqjt? 3/44 Calculate prob of picking 2 u when two letters picked without replacement from uururruu. 5/14 Four letters picked without replacement from {u: 1, m: 6, l: 7, y: 4}. Give prob of picking 1 l and 3 m. 7/153 Calculate prob of picking 3 z when three letters picked without replacement from {x: 1, s: 3, z: 3}. 1/35 Three letters picked without replacement from gggggggggggeggg. What is prob of picking 1 e and 2 g? 1/5 What is prob of picking 1 r, 1 g, 1 k, and 1 p when four letters picked without replacement from {k: 2, f: 1, p: 4, g: 1, r: 2}? 8/105 Two letters picked without replacement from {c: 1, n: 1, q: 3, d: 5, e: 1, j: 2}. Give prob of picking 2 j. 1/78 Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {r: 1, s: 1, d: 1}. 1/3 What is prob of picking 3 j and 1 e when four letters picked without replacement from jeete? 0 Calculate prob of picking 1 g and 3 n when four letters picked without replacement from nngngggggggg. 1/55 What is prob of picking 1 f and 2 w when three letters picked without replacement from ffwrwfrfrfrwwff? 6/65 Calculate prob of picking 1 d and 2 a when three letters picked without replacement from dddaadadadtddaaydy. 45/272 Calculate prob of picking 1 m and 2 c when three letters picked without replacement from gmhhghcchcg. 1/55 What is prob of picking 2 y when two letters picked without replacement from {k: 10, y: 4}? 6/91 Two letters picked without replacement from {t: 1, s: 2, p: 1, x: 1, e: 2}. What is prob of picking 1 p and 1 s? 2/21 Three letters picked without replacement from {r: 4, n: 3}. What is prob of picking 3 r? 4/35 Four letters picked without replacement from mnmmvmnhnn. What is prob of picking 3 n and 1 m? 8/105 What is prob of picking 2 j when two letters picked without replacement from {j: 6, q: 2}? 15/28 What is prob of picking 1 a and 2 x when three letters picked without replacement from azxx? 1/4 Calculate prob of picking 1 z and 1 b when two letters picked without replacement from rrbcrrbrzrbrrrbrr. 1/34 Calculate prob of picking 1 o, 1 i, and 1 l when three letters picked without replacement from loociabc. 1/28 Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {o: 1, s: 3, n: 2, e: 4}. 4/15 Two letters picked without replacement from {r: 1, d: 1, i: 3, k: 6, f: 1, m: 1}. Give prob of picking 1 r and 1 d. 1/78 Three letters picked without replacement from {c: 2, u: 1, z: 2}. What is prob of picking 2 c and 1 u? 1/10 Two letters picked without replacement from {r: 4, p: 6}. What is prob of picking 2 p? 1/3 Calculate prob of picking 3 e when three letters picked without replacement from epepeppppjepe. 5/143 Two letters picked without replacement from {h: 2, j: 2, m: 1}. What is prob of picking 2 j? 1/10 What is prob of picking 3 g and 1 e when four letters picked without replacement from {e: 7, a: 1, g: 12}? 308/969 Four letters picked without replacement from {t: 1, s: 3, o: 2, g: 1}. What is prob of picking 3 t and 1 o? 0 Calculate prob of picking 2 l when two letters picked without replacement from ywpyyllywlwllwyl. 1/8 Two letters picked without replacement from njmnmmemjmm. Give prob of picking 1 e and 1 m. 6/55 Calculate prob of picking 1 k and 1 z when two letters picked without replacement from zzzzzkzzzzzzz. 2/13 Calculate prob of picking 1 c and 1 d when two letters picked without replacement from daddcascmsmsddddas. 14/153 Three letters picked without replacement from hhxmxxhxxohhxhmhhhhx. Give prob of picking 1 x, 1 o, and 1 m. 7/570 What is prob of picking 1 o and 2 t when three letters picked without replacement from wwwttwwwwotwowwwww? 1/136 Three letters picked without replacement from onnncjnonnoooooo. Give prob of picking 1 c, 1 n, and 1 o. 3/35 Four letters picked without replacement from {l: 6, s: 1, t: 3, x: 1, n: 4}. Give prob of picking 1 s, 1 x, and 2 n. 2/455 Three letters picked without replacement from {q: 1, s: 1, r: 8, u: 4, b: 1}. What is prob of picking 1 q, 1 b, and 1 r? 8/455 Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {p: 1, n: 1, m: 4, k: 4, d: 3}. 2/39 Two letters picked without replacement from vcvc. What is prob of picking 1 c and 1 v? 2/3 What is prob of picking 2 o when two letters picked without replacement from onostnosnotosoono? 7/34 What is prob of picking 2 b when two letters picked without replacement from {e: 2, b: 2}? 1/6 What is prob of picking 1 j, 1 k, and 1 e when three letters picked without replacement from uuuuuuuckeujuejuzeu? 2/323 What is prob of picking 2 h when two letters picked without replacement from ahbahhh? 2/7 Three letters picked without replacement from {e: 9, n: 5}. What is prob of picking 2 e and 1 n? 45/91 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from ccuj. 1/6 Calculate prob of picking 2 m when two letters picked without replacement from {x: 4, b: 1, k: 2, m: 9}. 3/10 Three letters picked without replacement from {p: 10, a: 4, y: 2}. What is prob of picking 2 a and 1 p? 3/28 Two letters picked without replacement from uhuuhhuhuuuwv. What is prob of picking 1 w and 1 v? 1/78 Three letters picked without replacement from vccvvcv. What is prob of picking 3 v? 4/35 What is prob of picking 2 z and 2 w when four letters picked without replacement from zzwzweewzwezwwz? 15/91 Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {l: 1, j: 2, r: 1}. 1/3 Three letters picked without replacement from cgcc. What is prob of picking 3 c? 1/4 Four letters picked without replacement from {y: 2, m: 3, g: 2, u: 6, a: 3}. Give prob of picking 2 g, 1 y, and 1 m. 3/910 Three letters picked without replacement from iwtiiiiivwuwwtittii. What is prob of picking 1 u, 1 i, and 1 t? 12/323 Three letters picked without replacement from {j: 4, q: 11, e: 3}. What is prob of picking 2 q and 1 e? 55/272 Calculate prob of picking 3 a and 1 d when four letters picked without replacement from adadddddddaddddddddd. 1/285 What is prob of picking 4 x when four letters picked without replacement from xxxxxx? 1 Two letters picked without replacement from {p: 2, j: 1, d: 1, f: 1, c: 2, o: 1}. What is prob of picking 2 c? 1/28 Four letters picked without replacement from {e: 3, d: 3}. Give prob of picking 3 d and 1 e. 1/5 Tw
{ "pile_set_name": "DM Mathematics" }
= 91952 - 452392/5. Let k = l + -1468. Suppose 28/5*j + 8/5 - k*j**3 + 12/5*j**2 - 4*j**4 = 0. What is j? -1, -2/5, 1 Let y be (-42)/70*2/(-6). Determine d so that -1/5 + 2/5*d**2 + y*d - 2/5*d**3 - 1/5*d**4 + 1/5*d**5 = 0. -1, 1 Let l(d) = 8*d**3 + 14*d**2 + 25*d + 3. Suppose 2*c + 6*c = 40. Let t(f) = 3*f - f + f - 2*f - 1 + f**3. Let s(z) = c*t(z) - l(z). Factor s(q). -(q + 2)**2*(3*q + 2) Let l(b) be the third derivative of b**5/420 + 3*b**4/56 + 3*b**3/7 + 3*b**2 + 13. What is m in l(m) = 0? -6, -3 Factor -1/9*f**3 - 8/9*f**2 - 5/9*f + 50/9. -(f - 2)*(f + 5)**2/9 Factor 0 - 1/5*s**4 + 0*s + 1/5*s**5 + 0*s**2 + 0*s**3. s**4*(s - 1)/5 Let t(n) be the first derivative of -2*n**5/5 - n**4 + 6*n**3 + 2*n**2 - 16*n + 281. Find i, given that t(i) = 0. -4, -1, 1, 2 Let p(o) = -8*o**4 - 13*o**3 + 10*o**2 + 6*o - 23. Let u(q) = 7*q**4 + 12*q**3 - 11*q**2 - 6*q + 22. Let c(k) = 6*p(k) + 7*u(k). Let c(i) = 0. Calculate i. -8, -1, 1, 2 Let q(d) be the second derivative of -3*d**5/2 + 111*d**4/4 - 9*d**3/2 - 33*d**2 + 180*d. Determine t so that q(t) = 0. -2/5, 1/2, 11 Factor -8 + 8/7*z + 18/7*z**2. 2*(z + 2)*(9*z - 14)/7 Let j(o) be the second derivative of 5*o**7/168 + 47*o**6/120 + 8*o**5/5 + 11*o**4/12 - 20*o**3/3 - 8*o**2 - 130*o. Suppose j(f) = 0. Calculate f. -4, -2, -2/5, 1 Let g(m) = -m**3 - m**2 - 1. Let q(h) = -3*h. Let u be q(-2). Let b(j) = -6 + u*j**2 + 0*j**2 - 2*j**2 - 9*j**3 - j. Let n(s) = b(s) - 4*g(s). Factor n(a). -(a - 1)**2*(5*a + 2) Factor -201*x - 13467/2 - 3/2*x**2. -3*(x + 67)**2/2 Let p(l) be the third derivative of l**7/42 + l**6/6 + l**5/4 - 269*l**2. Factor p(d). 5*d**2*(d + 1)*(d + 3) Let p = -5723/3 + 1909. Factor 2/3*u**5 + 2/3 - 2*u**4 - 2*u + p*u**2 + 4/3*u**3. 2*(u - 1)**4*(u + 1)/3 Factor -i**5 - 9*i**2 + 7*i**3 - 18*i**3 + 19*i**4 + 5*i**5 - 7*i**3 + 4*i**5. i**2*(i - 1)*(i + 3)*(8*i + 3) Let u(r) be the first derivative of -3*r**5/5 - 15*r**4 - 134*r**3 - 510*r**2 - 675*r + 337. Factor u(c). -3*(c + 1)*(c + 5)**2*(c + 9) Let f(h) be the second derivative of h**8/6720 - h**7/2520 - h**6/360 - 19*h**4/12 + 22*h. Let b(k) be the third derivative of f(k). Factor b(s). s*(s - 2)*(s + 1) Let d(w) be the second derivative of 0*w**2 - 1/35*w**5 + 8/21*w**3 + 0 + 21*w + 0*w**4. Determine j, given that d(j) = 0. -2, 0, 2 Let q(a) be the first derivative of a**6/2160 - a**5/180 + a**4/48 - 7*a**3 - 17. Let u(x) be the third derivative of q(x). Let u(r) = 0. Calculate r. 1, 3 Factor h**5 + 3484*h**2 - 8*h**4 + 3*h**3 - 3482*h**2 - 3*h**5 + 5*h**5. h**2*(h - 2)*(h - 1)*(3*h + 1) Find n such that 22*n**3 + 88/3*n**2 + 2/3*n**5 + 20/3*n**4 + 0 + 40/3*n = 0. -5, -2, -1, 0 Factor 208/3*g + 5*g**3 - 28*g**2 - 1/3*g**4 - 64. -(g - 4)**3*(g - 3)/3 Let s(k) be the first derivative of -2/55*k**5 + 0*k**2 + 0*k**4 + 32 - 2/11*k + 4/33*k**3. What is u in s(u) = 0? -1, 1 Let g(n) be the first derivative of -169*n**5/25 + 273*n**4/10 - 649*n**3/15 + 168*n**2/5 - 64*n/5 + 22. Factor g(z). -(z - 1)**2*(13*z - 8)**2/5 Suppose -5*u = 170 - 175. Let x be 14/6 + u + 0 + -3. Factor -4/3*p - x*p**2 - 4/3. -(p + 2)**2/3 Suppose 5*a + r = 165, 8*a = 11*a - r - 99. Suppose 35*n - 4 = a*n. Determine i, given that 30/17*i**3 + 0*i - 14/17*i**4 - 18/17*i**n + 2/17*i**5 + 0 = 0. 0, 1, 3 Let b = 128 + -125. Let 2506*y**2 + y**4 + 1 - 2504*y**2 - 1 + 3*y**b = 0. What is y? -2, -1, 0 Suppose 9*k - 1193 - 76 = 0. Let d = 146 - k. Factor 3/2*h**4 + 3/8*h**d + 27/8*h - 3/4*h**3 + 0 - 9/2*h**2. 3*h*(h - 1)**2*(h + 3)**2/8 Let k(v) be the second derivative of -v**7/252 + v**6/36 + v**5/20 + 430*v. Solve k(g) = 0 for g. -1, 0, 6 Solve 77760*t + 233*t**2 + 1655820 + 477*t**2 - 855107 + 1065527 + 5*t**3 + 370*t**2 = 0 for t. -72 Suppose 4*a - 10 = -5*b, -b = 2*a - 0*a - 2. Suppose 3 + 8 + 1 + 4*t**b - 16*t = 0. What is t? 1, 3 Let x(p) be the second derivative of 1/84*p**4 - 9*p + 0 - 1/7*p**2 - 1/42*p**3. Find d, given that x(d) = 0. -1, 2 Let l(v) be the first derivative of 2 + 7/2*v**3 + 9/10*v**5 + 0*v - 3/2*v**2 - 3*v**4. Factor l(h). 3*h*(h - 1)**2*(3*h - 2)/2 Let p(h) = 5*h**2 + 13*h - 18. Let t(c) = -3*c. Let a be t(1). Let w(b) = -5*b**2 - 12*b + 17. Let l(i) = a*p(i) - 2*w(i). Factor l(x). -5*(x - 1)*(x + 4) Let g(k) be the first derivative of -48*k**5/65 - 101*k**4/26 - 14*k**3/3 - 11*k**2/13 + 6*k/13 + 197. Determine x so that g(x) = 0. -3, -1, -1/3, 1/8 Let y(p) be the first derivative of -2 - 1/3*p + 0*p**2 + 1/9*p**3. Factor y(q). (q - 1)*(q + 1)/3 What is p in 10/11*p**3 - 26/11*p**2 + 12/11*p**4 + 4/11*p + 0 = 0? -2, 0, 1/6, 1 Let g be (36/21 - 0) + 2/7. Factor 44*q**g - q**4 + 3 - 47*q**2 - q**3 + q - 1 + 2*q**4. (q - 2)*(q - 1)*(q + 1)**2 Let j = -5 - 3. Let n be j/(-12) + 4/3. Determine y so that -2*y**2 - 3 + n*y**3 + 3 = 0. 0, 1 Let -62*h + 2*h**2 + 159*h - 506 + 762 + 161*h = 0. What is h? -128, -1 Let w(a) be the third derivative of -a**2 - 1/60*a**6 - 1/168*a**8 - 1/10*a**5 + 1/6*a**4 + 1/35*a**7 + 0*a + 0*a**3 + 0. Let w(o) = 0. Calculate o. -1, 0, 1, 2 Suppose 46*b - 2*i = 51*b - 26, i + 9 = 3*b. Let w(g) be the first derivative of 1/32*g**b - 1/8*g**2 + 6 + 0*g + 1/24*g**3. Suppose w(k) = 0. What is k? -2, 0, 1 Let v(x) be the first derivative of -3*x**5/20 - 9*x**4/4 + 24*x**3 - 78*x**2 + 108*x - 234. Factor v(f). -3*(f - 2)**3*(f + 18)/4 Let u(r) = r**3 - 7*r**2 + 6*r + 2. Let i be u(6). Suppose -26*z + 8 = -70. What is p in -4*p**i - p**z - p**3 - p - p = 0? -1, 0 Let m(i) be the second derivative of -i**5/10 - 11*i**4/6 - 28*i**3/3 + 86*i - 2. Factor m(l). -2*l*(l + 4)*(l + 7) Let b = 10 + -8. Suppose 5*o - b = 8. Suppose -4*f + f**3 - 3*f - o*f**2 + 2*f + 4*f + 2 = 0. What is f? -1, 1, 2 Let h be (-5)/(-2)*(-126)/(-105). Let c(v) be the third derivative of 1/12*v**3 - 1/16*v**4 + 1/40*v**5 - h*v**2 + 0 + 0*v - 1/240*v**6. Factor c(k). -(k - 1)**3/2 Let i(h) = 3*h + 18. Let b be i(-6). Solve 1/2*s**2 + b*s + 0 - 1/8*s**3 = 0 for s. 0, 4 Let c = 1561/24 + -65. Let q(r) be the second derivative of 0*r**2 + r - 1/9*r**4 - 1/180*r**6 - c*r**5 - 1/9*r**3 + 0. Factor q(o). -o*(o + 1)*(o + 2)**2/6 Let m = -19260 + 19262. Solve -2/5 - 1/5*a**m - 3/5*a = 0 for a. -2, -1 Suppose -3*o = -2*x - 3*x + 29, -2*o = -4*x + 22. Let z(q) be the third derivative of 1/30*q**5 - 5*q**2 + 0*q**3 + 0*q + 0*q**x + 0. Factor z(b). 2*b**2 Let y(l) = 7*l**2 - 3*l - 8 - 9*l + l + 9*l**3. Let n(v) = 28*v**3 + 20*v**2 - 34*v - 24. Let o(p) = -6*n(p) + 20*y(p). Factor o(t). 4*(t - 1)*(t + 2)*(3*t + 2) Let i(z) be the third derivative of 125/18*z**3 - 11/9*z**5 - 1025/144*z**4 - 1/16*z**6 + 21*z**2 + 0*z + 0. Factor i(n). -5*(n + 5)**2*(9*n - 2)/6 Suppose -2*y - 4*x = 0, 47 - 45 = 3*y + 4*x. Factor 8*i**y - 52/9*i + 8/9. 4*(2*i - 1)*(9*i - 2)/9 Suppose -5*u + 2*h + 109 = 0, 2*h = 4*u - 63 - 23. Suppose -3 = 4*n - u. Find a, given that 3/4*a**4 - 1/4 + 3/4*a - 1/2*a**2 - 1/2*a**3 - 1/4*a**n = 0. -1, 1 Determine p so that 2*p + 2/7*p**3 - 10/7*p**2 - 6/7 = 0. 1, 3 Let p(f) = f**4 + f**3 - 11*f**2 - 21*f - 14. Let r(x) = x**4 + x**3 - x**2 - x + 1. Let b = -8 + 9. Let c(l) = b*p(l) + 4*r(l). Let c(g) = 0. What is g? -1, 2 Suppose 4*a - 8 = -2*n, 5*n + 9*a + 8 = 13*a. Suppose 1/5*u**5 + 0*u + 0*u**4 - 1/5*u**3 + 0 + n*u**2 = 0. Calculate u. -1, 0, 1 Let m(l) be the first derivative of 1/14*l**4 + 0*l**2 + 0*l**3 - 4/35*l**5 + 0*l - 8 + 1/21*l**6. Factor m(i). 2*i**3*(i - 1)**2/7 Let m(l) = -9*l. Let p(c) = c**2 + 58*c. Let h(n) = -4*m(n) - 4*p(n). Factor h(g). -4*g*(g + 49) Let y(a) be the third derivative of 0 + 1/8*a**4 + 0*a**5 - 1/3*a**3 - 15*a**2 + 0*a - 1/120*a**6. Suppose y(q) = 0. Calculate q. -2, 1 Let u(m) be the third derivative of -1/72*m**4 + 0 - 1/9*m**3 + 0*m + 8*m**2 + 1/90*m**5 + 1/360*m**6. Factor u(x). (x - 1)*(x + 1)*(x + 2)/3 Let y = -13 + 15. Suppose 22 = -y*d + 13*d. Find b, given that -1/4*b**5 - 1/2*b**4 + 0 + 1/4*b**3 + 1/2*b**d + 0*b = 0. -2, -1, 0, 1 Let n(y) = 189*y**2 + 702*y + 504. Let i(t) = -46*t**2 - 175*t - 126. Let a(g) = 21*i(g) + 5*n(g). Determine p so that a(p) = 0. -7, -6/7 Let j be (6 - 9) + (-132)/(-20). Find w such that -j*w + 18/5*w**3 - 8/5*w**4 + 4/5 + 4/5*w**2 = 0. -1, 1/4, 1, 2 Suppose 8 = 3*k + a, 23 + 1 = 3*k - 3*a. Let g be 27/12 - (-3)/k. Factor -40*b - 7*b**g - 7*b**3 + 6*b**2 + 6*b**2 + 24*b**2 + 2*b**4 + 16. 2
{ "pile_set_name": "DM Mathematics" }
Are -38 and -261/7 unequal? True Which is smaller: -9 or -102/11? -102/11 Which is greater: -1 or 19/79? 19/79 Which is smaller: 151 or 1053/7? 1053/7 Which is smaller: -1/2 or 1796? -1/2 Which is smaller: -50320/3 or -16774? -16774 Is -37 at most -153/4? False Which is smaller: 27 or -6? -6 Which is smaller: -0.3 or -28? -28 Is -31 > -390? True Which is smaller: 616/3 or 206? 616/3 Is 1052/47 >= 21? True Which is smaller: -72 or -89? -89 Is 275 smaller than 273? False Which is smaller: 489 or 1? 1 Is 2/61487 equal to -1? False Is 263 smaller than -1? False Which is smaller: -134 or -141? -141 Which is smaller: 0 or 101? 0 Which is smaller: 10699 or 10700? 10699 Which is greater: 1765/3 or 587? 1765/3 Do 1/3844 and -1 have the same value? False Is -306/7 greater than or equal to -43? False Which is smaller: 257 or 255? 255 Which is smaller: 3034 or 15168/5? 15168/5 Is -9 at most as big as 77? True Is -4/3 <= -1? True Which is smaller: 4770 or 4769? 4769 Is -2/27 not equal to -1? True Is -41.9 at most -2/3? True Is 1.9 bigger than 0? True Which is smaller: -8 or 12? -8 Is -134 less than or equal to -202? False Is -1412/7 greater than or equal to -203? True Which is smaller: 30/73 or 0.2? 0.2 Is -0.00221 < 2/9? True Is 113 less than or equal to 9? False Which is greater: 61/842 or 1? 1 Which is bigger: 30439 or 30437? 30439 Is -0.82 less than or equal to -2/21? True Is 38 < 33? False Is 5 < -14? False Which is bigger: 2594/9 or 288? 2594/9 Which is greater: 20289/5 or 4057? 20289/5 Do -84 and -84 have different values? False Which is smaller: -16 or -9? -16 Which is smaller: 862 or 864? 862 Which is smaller: 58/21 or 3? 58/21 Is -164 > -168? True Which is bigger: -1 or 4/477? 4/477 Which is bigger: 1683 or 0? 1683 Which is greater: 0.364 or 95? 95 Which is bigger: 86 or 84? 86 Are -30/97 and 1 equal? False Which is bigger: -1 or -6? -1 Are 1424 and 1425 non-equal? True Which is bigger: -14 or -12? -12 Which is smaller: -2/52351 or -1? -1 Do -1897 and -1897 have the same value? True Is 2/239 >= 1? False Which is bigger: -31 or 93? 93 Which is greater: 2/7 or 385.6? 385.6 Which is bigger: -2/181 or 1? 1 Is 105/16 smaller than 0.2? False Is 122 <= 120? False Is -7652 at most as big as -30611/4? False Is -38 at most -4/3? True Which is smaller: -6131 or 2/3? -6131 Is 1 less than 34? True Is -878 bigger than -873? False Which is greater: 37/4 or 10? 10 Which is bigger: -190 or -192? -190 Which is bigger: 6099 or 6097? 6099 Which is smaller: 19 or 10/3? 10/3 Is -273 != 4? True Which is bigger: -80 or -3? -3 Is 0.076 at most 3? True Is 226 < 8400/37? True Which is smaller: 0.522 or 1? 0.522 Is 8403/10 at most -1? False Is -64 smaller than 1/7? True Which is smaller: -1 or -1/51919? -1 Which is bigger: 2/1275 or -1? 2/1275 Is -1 at most as big as -1/1077? True Are -93/4 and -23 equal? False Which is greater: 2674/5 or 536? 536 Which is smaller: -779 or 2/5? -779 Are -2635 and -2637 nonequal? True Which is smaller: 71 or 76? 71 Which is greater: 117 or 118? 118 Which is bigger: 0 or 2/7945? 2/7945 Is 2/7 less than 2.8? True Are -3/346 and 0 non-equal? True Is -17/52 > -1? True Is -0.1 > 269? False Which is smaller: 1 or 2/2723? 2/2723 Which is smaller: -2372/7 or -340? -340 Which is smaller: -13/9 or 0? -13/9 Is 2/17629 != -1? True Which is smaller: 1 or -2/9117? -2/9117 Which is smaller: -4217 or -4210? -4217 Is 55 at least as big as 271/5? True Is -48 equal to -61? False Is 1 < -12/3437? False Is 18 less than or equal to 34? True Which is smaller: -424 or -423? -424 Is 835 at least 835? True Which is bigger: 1 or -1/107? 1 Which is greater: 34 or -1/4? 34 Is -831 at most -830? True Which is smaller: 2 or 155.6? 2 Is 2/92945 at least as big as -1? True Does -3/152 = -1? False Are 0 and 1/7679 non-equal? True Is 0 at most as big as 4/839? True Which is greater: -139/7 or -21? -139/7 Which is bigger: 0 or -1599? 0 Which is smaller: 598 or -1/4? -1/4 Is -1/5 > -15/11? True Which is bigger: -0.1 or -0.08? -0.08 Which is greater: -3/1787 or 1? 1 Does -17 = -18? False Is -2891 at most as big as 0.3? True Does 2/393 = -1? False Which is smaller: 624 or 621? 621 Which is greater: 0 or 2/26169? 2/26169 Which is greater: 3217/16 or 202? 202 Which is smaller: 2553 or 2554? 2553 Which is bigger: 5/4 or 752? 752 Which is smaller: 0.082 or -5? -5 Which is smaller: 77 or 67? 67 Is 131 bigger than 4? True Which is smaller: -223/3 or -74? -223/3 Which is smaller: -3398 or -3399? -3399 Does -1154/7 = -165? False Do 1 and 17/792 have the same value? False Is -43 greater than 31? False Which is bigger: 7 or 1435? 1435 Which is smaller: -3532/7 or -505? -505 Is 1 less than or equal to -10? False Is -2875/3 greater than or equal to 0.2? False Do 8 and 7 have the same value? False Which is greater: -560 or -2? -2 Is 30028 at least as big as 30028? True Which is greater: -8 or -0.3? -0.3 Which is bigger: 1/1715 or 1? 1 Are -0.02 and 3284 nonequal? True Which is smaller: 4751 or 4752? 4751 Are -3064 and 0 non-equal? True Which is smaller: 11/10 or 16? 11/10 Which is greater: -115.1 or 0.2? 0.2 Is 11 greater than 31/3? True Is 37/3 less than 13? True Which is greater: 9231 or 9228? 9231 Which is smaller: -223/3 or 6? -223/3 Which is greater: -1 or -10/173? -10/173 Which is greater: 0 or 1? 1 Is 321 > 1287/4? False Is -110/9 less than -13? False Is 167 < 168? True Is 0 at least 5/453? False Which is greater: -340 or -342? -340 Which is greater: 8/5 or -5.2? 8/5 Are 1 and 42/173 equal? False Which is smaller: 0.1 or 3/434? 3/434 Is 0 > -2/9625? True Which is smaller: 1 or 2/4301? 2/4301 Are -1 and -1/39 unequal? True Are 0.01 and -23 equal? False Is 4 at most as big as -3/77? False Which is bigger: 9218/7 or 1318? 1318 Which is bigger: -27 or -5/9? -5/9 Which is bigger: -1936/35 or -54? -54 Is -45 <= -29? True Does 1597 = -1/4? False Do 0 and 1/7813 have different values? True Which is smaller: 0 or -44? -44 Which is bigger: -1960 or -5881/3? -1960 Which is smaller: 22103 or 22102? 22102 Is 36 bigger than -136? True Which is bigger: 61 or -1? 61 Is 0.4 less than -93? False Is 5 equal to 107/8? False Is -53 smaller than -56? False Which is smaller: 122 or 113? 113 Which is smaller: -1 or 554/3? -1 Which is smaller: 1 or -12/5609? -12/5609 Is -11613 less than -11613? False Is -687 bigger than -688? True Which is smaller: 0 or 41/14? 0 Which is greater: 4 or 2? 4 Which is bigger: -1/425 or -1? -1/425 Which is smaller: 0.1 or -2552? -2552 Is -1 greater than -10/197? False Which is bigger: -1/597 or 0? 0 Which is smaller: 2/293 or 1? 2/293 Is -0.4 at most as big as 0.18? True Is -354 at most -365? False Which is bigger: -59 or -469/8? -469/8 Which is smaller: 225 or 895/4? 895/4 Which is bigger: -6 or -14? -6 Which is smaller: -41 or -45? -45 Which is bigger: 12 or -5? 12 Which is smaller: -846 or -1? -846 Is -2 <= -3/2? True Are -64534 and -64535 non-equal? True Which is smaller: 27/38 or 2? 27/38 Is 14/87 bigger than -1? True Is 642 less than 641? False Which is smaller: -3.423 or 0.1? -3.423 Which is greater: -6.531 or 0? 0 Which is greater: 3/5 or -45? 3/5 Are 56 and 58 non-equal? True Which is smaller: -1 or -22/53? -1 Do 486 and 486 have different values? False Which is smaller: -1 or -142? -142 Which is greater: 25/352 or 0? 25/352 Which is bigger: 13067 or 13063? 13067 Is -6 smaller than -60/13? True Is -1 > 45/154? False Which is smaller: 6/673 or -1? -1 Is -3/76 less than -1? False Is 5 less than 1/1186? False Is -108 less than -73? True Which is bigger: 0 or -2/245? 0 Is -206 not equal to -206? False Which is greater: 1 or -2/10541? 1 Which is smaller: -1 or -3/2132? -1 Does 1047 = 7335/7? False Which is smaller: 1421 or 1422? 1421 Which is smaller: 9 or 0.0063? 0.0063 Which is bigger: 3 or 1808? 1808 Is -2/3 < -215? False Is 1 smaller than -7/38? False Which is greater: -4596/11 or -417? -417 Which is bigger: -2.446 or 0? 0 Is 5 at least -112? True Which is greater: -0.9389 or 0? 0 Which is smaller: 0 or 20/241? 0 Which is bigger: -35 or 9? 9 Which is greater: 539 or 541? 541 Which is bigger: 1/3 or 2? 2 Is 3/5 > -175/4? True Which is bigger: -59 or -43? -43 Is 45/4 smaller than -1? False Which is smaller: 246 or 2694/11? 2694/11 Are 0.3 and -0.42 nonequal? True Which
{ "pile_set_name": "DM Mathematics" }
cked without replacement from qeeeqqeeqeeeq? 20/39 What is prob of picking 3 c and 1 i when four letters picked without replacement from nbciciibccbci? 8/143 Calculate prob of picking 2 s and 2 b when four letters picked without replacement from ssssabsbbab. 2/11 Three letters picked without replacement from fffffffll. Give prob of picking 1 l and 2 f. 1/2 Four letters picked without replacement from {l: 2, v: 1, j: 3, y: 6}. Give prob of picking 2 j, 1 v, and 1 l. 2/165 Three letters picked without replacement from ttttoooootot. What is prob of picking 3 o? 1/11 What is prob of picking 4 h when four letters picked without replacement from {f: 3, s: 6, h: 4}? 1/715 Four letters picked without replacement from {r: 3, d: 2, q: 7}. What is prob of picking 3 r and 1 q? 7/495 Four letters picked without replacement from {i: 3, p: 11}. Give prob of picking 4 p. 30/91 Three letters picked without replacement from {o: 4, e: 2, u: 1, y: 2}. What is prob of picking 2 e and 1 o? 1/21 Four letters picked without replacement from jjjwjjjjwjqjjjwjjjjj. Give prob of picking 2 j and 2 w. 24/323 What is prob of picking 1 k and 1 y when two letters picked without replacement from vvkknyknnvykvy? 12/91 What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 2, h: 1, e: 10, a: 3}? 1/6 Two letters picked without replacement from oollooloolo. What is prob of picking 1 o and 1 l? 28/55 Calculate prob of picking 2 e, 1 n, and 1 l when four letters picked without replacement from nacaelneenlq. 2/55 What is prob of picking 1 r and 1 f when two letters picked without replacement from {f: 12, r: 3}? 12/35 Three letters picked without replacement from qzzfzqz. Give prob of picking 1 z and 2 q. 4/35 Four letters picked without replacement from {p: 4, u: 2, h: 1, v: 3, f: 1}. Give prob of picking 1 f, 1 h, 1 u, and 1 v. 1/55 Two letters picked without replacement from {g: 4, s: 9, m: 3}. Give prob of picking 1 g and 1 s. 3/10 Calculate prob of picking 1 q and 2 h when three letters picked without replacement from {u: 2, q: 1, h: 2}. 1/10 What is prob of picking 1 r and 3 a when four letters picked without replacement from {a: 6, r: 2}? 4/7 What is prob of picking 2 r when two letters picked without replacement from {j: 4, r: 15}? 35/57 Two letters picked without replacement from {x: 7, o: 1, a: 2}. Give prob of picking 2 x. 7/15 Two letters picked without replacement from {x: 9, v: 1, a: 2, b: 8}. Give prob of picking 1 v and 1 a. 1/95 Calculate prob of picking 1 i and 3 j when four letters picked without replacement from jjjjijijijjj. 28/55 Three letters picked without replacement from {f: 5, o: 3}. Give prob of picking 2 o and 1 f. 15/56 Four letters picked without replacement from xxmxs. What is prob of picking 1 m, 2 x, and 1 s? 3/5 Two letters picked without replacement from afffffffffffffffffff. What is prob of picking 2 f? 9/10 Four letters picked without replacement from {x: 2, j: 2, a: 2}. What is prob of picking 2 x and 2 a? 1/15 Three letters picked without replacement from {d: 9, v: 3, f: 7}. Give prob of picking 1 d and 2 v. 9/323 What is prob of picking 1 c and 1 v when two letters picked without replacement from vtqvc? 1/5 Four letters picked without replacement from {n: 2, k: 9}. Give prob of picking 4 k. 21/55 Two letters picked without replacement from {i: 4, j: 10, b: 6}. What is prob of picking 2 j? 9/38 What is prob of picking 3 p and 1 e when four letters picked without replacement from pepveeeeeppep? 14/143 What is prob of picking 2 s and 1 g when three letters picked without replacement from gsdsgdgdgdgsdgggd? 3/85 Calculate prob of picking 2 f, 1 l, and 1 j when four letters picked without replacement from lsllflsllfljxssl. 2/455 What is prob of picking 1 p and 1 g when two letters picked without replacement from apcgipi? 2/21 Two letters picked without replacement from fnnvvnvfrmvt. What is prob of picking 1 f and 1 m? 1/33 Two letters picked without replacement from rrrriirrrir. What is prob of picking 1 i and 1 r? 24/55 Three letters picked without replacement from rlkklklklrl. What is prob of picking 1 r and 2 k? 4/55 What is prob of picking 2 i and 1 y when three letters picked without replacement from zzozzooioioioiy? 6/455 What is prob of picking 2 x when two letters picked without replacement from vvyvnnvvxyvnvnvxvxyy? 3/190 Calculate prob of picking 4 i when four letters picked without replacement from {i: 6, o: 4}. 1/14 Two letters picked without replacement from jmjojiiiimmniimh. Give prob of picking 1 o and 1 h. 1/120 Calculate prob of picking 2 n when two letters picked without replacement from nnnkuonnowunufnn. 7/30 What is prob of picking 3 z when three letters picked without replacement from {i: 2, z: 3}? 1/10 Three letters picked without replacement from {e: 2, q: 3, s: 2, c: 5}. What is prob of picking 1 c and 2 e? 1/44 Calculate prob of picking 1 n and 3 u when four letters picked without replacement from {l: 5, u: 5, m: 5, h: 1, n: 3, s: 1}. 2/323 What is prob of picking 1 e, 1 o, and 2 k when four letters picked without replacement from ykotkoeyko? 3/70 Two letters picked without replacement from ttvttvtt. Give prob of picking 2 t. 15/28 What is prob of picking 2 n when two letters picked without replacement from {n: 2, j: 2, a: 2}? 1/15 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {c: 10, f: 1, r: 2, p: 2, w: 1}. 1/6 Three letters picked without replacement from ycyutumhuthc. Give prob of picking 1 t, 1 h, and 1 m. 1/55 Calculate prob of picking 2 a when two letters picked without replacement from ttata. 1/10 Calculate prob of picking 2 b and 2 u when four letters picked without replacement from {b: 2, u: 2, l: 2, s: 2}. 1/70 Calculate prob of picking 1 x and 1 a when two letters picked without replacement from hhhhaxhhxxxhhxxxx. 1/17 Four letters picked without replacement from {h: 5, z: 4, d: 7}. Give prob of picking 2 d and 2 z. 9/130 Two letters picked without replacement from ffugffffffuuu. What is prob of picking 2 f? 14/39 What is prob of picking 2 w when two letters picked without replacement from {t: 3, w: 12, j: 1, l: 1, b: 1, e: 1}? 22/57 What is prob of picking 2 u and 2 j when four letters picked without replacement from uuujjuujuuuu? 12/55 What is prob of picking 1 r and 2 y when three letters picked without replacement from {r: 1, y: 11}? 1/4 Calculate prob of picking 1 d, 2 n, and 1 q when four letters picked without replacement from xqdnxnqddd. 4/105 Calculate prob of picking 1 y and 1 w when two letters picked without replacement from mwwynwnywuumu. 4/39 Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {w: 1, o: 7, v: 1, y: 3, q: 2, n: 4}. 1/153 Calculate prob of picking 2 o and 2 x when four letters picked without replacement from {o: 2, x: 3, p: 3}. 3/70 Two letters picked without replacement from {a: 1, w: 8, z: 1, m: 4, g: 1}. Give prob of picking 1 g and 1 z. 1/105 What is prob of picking 1 y and 1 d when two letters picked without replacement from dyyyvyyyvyyddd? 32/91 Two letters picked without replacement from zzzzzzzzzzzzgzz. What is prob of picking 1 z and 1 g? 2/15 What is prob of picking 2 f, 1 h, and 1 p when four letters picked without replacement from {f: 2, g: 1, m: 1, p: 1, h: 2}? 2/35 Calculate prob of picking 1 n, 1 i, 1 w, and 1 v when four letters picked without replacement from {w: 1, n: 2, v: 2, t: 4, i: 1}. 2/105 Two letters picked without replacement from ttnnnnnnnn. What is prob of picking 2 t? 1/45 What is prob of picking 2 j and 1 y when three letters picked without replacement from {j: 1, y: 1, p: 1, r: 1, u: 1, a: 2}? 0 What is prob of picking 2 p when two letters picked without replacement from {m: 1, b: 1, p: 2, s: 1}? 1/10 Three letters picked without replacement from wydyeoidyddd. Give prob of picking 1 y and 2 o. 0 Calculate prob of picking 1 y, 1 l, and 1 f when three letters picked without replacement from {q: 2, f: 5, y: 1, h: 3, l: 7}. 35/816 Calculate prob of picking 1 p, 1 f, 1 k, and 1 n when four letters picked without replacement from fgfkppgna. 2/63 Calculate prob of picking 3 z when three letters picked without replacement from {z: 4, m: 3}. 4/35 Tw
{ "pile_set_name": "DM Mathematics" }
u(a) = -3*a**3 - 7*a + 5. Give u(4). -215 Let c(v) = 8*v + 19. What is c(-6)? -29 Let w(d) = d**3 + 26*d**2 + d + 24. Calculate w(-26). -2 Let z(q) = -q**3 + 9*q**2 - 10*q - 12. Give z(8). -28 Let i(r) = r**2 - r + 1. Give i(0). 1 Let i(g) = -6*g**2 - g - 12. What is i(-5)? -157 Let x(m) = -m**2 + 6*m - 5. Give x(8). -21 Let b(g) = g**2 + 19. What is b(0)? 19 Let c(h) = -h**2 - 12*h + 30. What is c(-14)? 2 Let r(g) = -6*g + 13. Calculate r(3). -5 Let n(x) = x**2 - 7*x - 5. What is n(6)? -11 Let u(m) = -2*m**3 - 15*m**2 - 6*m + 70. Calculate u(-6). -2 Let o(z) = -z**3 - 7*z**2 - 5*z + 11. Determine o(-5). -14 Let x(q) = q**3 - 12*q**2 + 14*q + 56. Determine x(10). -4 Let w(c) = c**3 + 11*c**2 + 3*c + 13. What is w(-11)? -20 Let r(i) = 26*i - 287. Calculate r(11). -1 Let a(p) = -p**3 + 3*p**2 - 3*p + 5. What is a(2)? 3 Let s(q) = -q**3 + q**2 - q + 7. Give s(0). 7 Let b(a) = -a**3 - 33*a**2 + 107*a - 16. Calculate b(-36). 20 Let t(a) = -a**3 + 9*a**2 - 9*a - 6. Calculate t(7). 29 Let u(f) = 8*f**3 + 2*f**2 - 1. Determine u(-1). -7 Let r(g) = -2*g - 55. Determine r(-21). -13 Let k(f) = -12*f + 304. Calculate k(25). 4 Let n(q) = -q**3 - 4*q**2 + 17*q + 34. What is n(-6)? 4 Let l(o) = -o**3 + 6*o**2 - 3*o - 4. What is l(4)? 16 Let v(n) = -n**3 - 9*n**2 + 11*n + 7. Determine v(-11). 128 Let c(s) = -s**2 - 15*s - 18. Calculate c(-10). 32 Let n(z) = 3*z + 11. Determine n(-6). -7 Let b(y) = 16*y**2 + 3. What is b(1)? 19 Let q(j) = -3*j - 71. Calculate q(-24). 1 Let p(t) = 4*t - 23. Determine p(19). 53 Let i(s) = -s**3 + 11*s**2 + 14*s - 27. Determine i(12). -3 Let y(z) = -z**3 + 5*z**2 + 5*z + 4. What is y(6)? -2 Let j(g) = 10*g + 5. Determine j(3). 35 Let k(h) = h**2 + 31*h + 60. What is k(-29)? 2 Let h(a) = a**2 - 9*a - 6. Give h(4). -26 Let h(c) = 3*c**2 + 4*c - 3. Calculate h(4). 61 Let j(w) = w**3 - 36*w**2 - 40*w + 95. Give j(37). -16 Let x(a) = a**2 - a + 2. Calculate x(-4). 22 Let f(r) = r**3 + 25*r**2 - 28*r - 48. What is f(-26)? 4 Let s(i) = -4*i + 5. Give s(8). -27 Let j(v) = -v**3 - 6*v**2 - 6*v - 51. Give j(-6). -15 Let d(b) = 2*b**3 - 28*b**2 + 28*b - 12. Calculate d(13). 14 Let c(k) = -k**3 - 7*k**2 - 2*k + 5. Give c(-7). 19 Let a(b) = b**2 - 4*b + 14. What is a(6)? 26 Let k(y) = 3*y + 58. Give k(-20). -2 Let n(d) = -9*d + 35. Determine n(3). 8 Let h(u) = -6*u**2 + 25*u - 26. Determine h(1). -7 Let a(z) = -2*z**2 + 28*z - 11. Calculate a(12). 37 Let i(b) = -b**3 + 8*b**2 - 3*b + 9. Give i(8). -15 Let k(j) = j**3 - 39*j**2 + 38*j + 1. Give k(38). 1 Let d(a) = -13*a - 1. Give d(3). -40 Let r(l) = l**2 + 10*l + 9. Calculate r(-6). -15 Let a(w) = 7*w - 12. What is a(-11)? -89 Let n(l) = -2*l - 67. Calculate n(-11). -45 Let i(d) = d**2 - 111*d + 731. What is i(7)? 3 Let q(z) = 2*z**3 + 7*z**2 - 13*z - 25. Give q(-5). -35 Let u(p) = -p**3 - 5*p**2 - p + 2. Determine u(-5). 7 Let o(u) = 2*u**2 + 27*u + 45. Calculate o(-9). -36 Let y(s) = s**3 - 7*s**2 + 12*s - 9. Determine y(5). 1 Let f(m) = 26*m**2 - 3*m + 4. Determine f(1). 27 Let v(f) = -2*f**2 + 12*f - 1. Determine v(9). -55 Let l(o) = 2*o**2 + 7*o - 9. What is l(1)? 0 Let d(c) = -3*c**3 - 9*c**2 - 6*c - 12. Calculate d(-3). 6 Let m(a) = -a**3 + 7*a**2 - 10*a - 3. Determine m(6). -27 Let c(f) = -f**3 + 23*f**2 + 78*f + 10. Give c(26). 10 Let y(w) = -2*w**2 - 71*w + 108. Calculate y(-37). -3 Let l(z) = z**2 - 2*z - 16. Calculate l(11). 83 Let m(b) = -b**3 - 19*b**2 + 2*b + 24. Give m(-19). -14 Let y(x) = 6*x**2 - 78*x + 10. What is y(13)? 10 Let d(b) = -b**3 - 16*b**2 + 15*b - 34. Determine d(-17). 0 Let k(f) = 23*f - 3. Determine k(2). 43 Let h(v) = -20*v**3 - 10*v + 11. Give h(1). -19 Let s(u) = -u**2 - 13*u + 28. Determine s(-15). -2 Let n(a) = -a**2 - 18*a + 37. Give n(-18). 37 Let k(b) = b**3 - 7*b**2 - 19*b + 4. Give k(9). -5 Let c(h) = h**2 - 39*h + 113. What is c(36)? 5 Let w(l) = l**3 + 3*l**2 - 4. What is w(-5)? -54 Let i(a) = -2*a - 25. Give i(6). -37 Let f(r) = -r - 26. Determine f(11). -37 Let c(n) = -n**2 - 15*n + 18. Calculate c(-17). -16 Let y(l) = l**3 - 2*l**2 - 6*l + 1. Calculate y(5). 46 Let c(a) = a**2 + a + 1. What is c(-3)? 7 Let s(d) = d**2 + 35*d + 91. Determine s(-32). -5 Let t(a) = -109*a + 204. Give t(2). -14 Let h(q) = q**3 - 2*q**2 + q + 2. Give h(2). 4 Let c(g) = -27*g + 218. Determine c(8). 2 Let u(a) = a**3 + 5*a**2 + 3*a + 15. Give u(-5). 0 Let r(y) = -2*y**3 - 20*y**2 + 2. What is r(-10)? 2 Let a(h) = -2*h**2 + 23*h + 5. What is a(11)? 16 Let o(u) = 11*u - 119. What is o(10)? -9 Let b(v) = -v**2 - 46*v - 485. Calculate b(-16). -5 Let w(b) = b**2 + 3*b + 3. Calculate w(-2). 1 Let g(i) = -6*i + 6. Determine g(0). 6 Let h(m) = -m**2 + 2*m. What is h(-7)? -63 Let t(n) = 3*n - 3. Calculate t(4). 9 Let s(m) = -m**3 + 15*m**2 - 25*m - 8. Determine s(13). 5 Let z(h) = -h**3 - 15*h**2 + 18*h + 5. Determine z(-16). -27 Let p(x) = -9*x - 144. Give p(-17). 9 Let q(w) = -w**3 - 13*w**2 + 13*w - 59. Determine q(-14). -45 Let y(l) = -l**3 - 7*l**2 - l - 3. Determine y(-7). 4 Let v(g) = g**3 - 5*g**2 + 5*g - 4. Calculate v(4). 0 Let t(f) = -f**3 + 12*f**2 + f - 16. What is t(12)? -4 Let h(c) = -5*c**2 + 6. Calculate h(2). -14 Let m(i) = i**2 + 16*i + 13. Give m(-10). -47 Let v(c) = 3*c - 151. What is v(50)? -1 Let w(n) = -3*n + 62. What is w(17)? 11 Let x(p) = -3*p + 2. What is x(-8)? 26 Let c(x) = -14*x - 91. Give c(-8). 21 Let i(p) = -p - 3. Give i(9). -12 Let d(x) = -2*x**2 + 6*x - 122. Calculate d(0). -122 Let n(x) = -26*x + 5. Give n(4). -99 Let i(w) = 3*w + 5. Calculate i(-4). -7 Let f(s) = -10*s + 93. Calculate f(10). -7 Let u(c) = 27*c**2 - 3*c - 1. What is u(-1)? 29 Let m(h) = -32*h**2 - 159*h - 2. Calculate m(-5). -7 Let w(n) = -4*n + 27. Determine w(20). -53 Let t(b) = -4*b + 8. What is t(1)? 4 Let l(m) = 2*m + 7. Give l(-5). -3 Let o(n) = n**3 - 28*n**2 - 60*n + 10. What is o(30)? 10 Let r(s) = 56*s**2 - 3*s + 1. Calculate r(1). 54 Let s(k) = -58*k + 408. Determine s(7). 2 Let j(k) = k**2 - 97*k + 275. What is j(3)? -7 Let z(d) = -3*d**3 - 21*d**2 - 5. Give z(-7). -5 Let g(c) = -c**2 + 9*c - 2. Calculate g(9). -2 Let j(i) = -13*i - 40. What is j(5)? -105 Let o(x) = -2*x**2 - 2*x + 4. Calculate o(2). -8 Let k(t) = t**3 + 4*t**2 - t. Determine k(-3). 12 Let x(c) = -c**2 - 8*c - 5. What is x(-9)? -14 Let s(b) = -71*b - 9. What is s(-1)? 62 Let s(u) = u**3 + 4*u**2 - 7*u - 6. Calculate s(-4). 22 Let f(v) = v**2 - 2*v - 7. Determine f(4). 1 Let z(s) = -42*s + 122. Give z(3). -4 Let a(t) = -t**2 - 26*t - 26. Give a(-25). -1 Let k(x) = x**3 - 6*x**2 + 7*x + 2. Give k(6). 44 Let h(q) = -q**2 - 52*q + 219. What is h(-56)? -5 Let s(z) = -z**2 + 24*z - 29. Calculate s(23). -6 Let p(w) = w**2 + 2*w - 10. Determine p(-4). -2 Let b(l) = -l**3 - l**2 + 6*l - 7. Give b(5). -127 Let w(f) = 14*f + 44. Determine w(-6). -40 Let s(d) = -13*d - 3. Determine s(-2). 23 Let n(r) = -2*r**2 + 4*r + 1. What is n(3)? -5 Let y(j) = -j**3 - 12*j**2 + 15*j + 10. Calculate y(-13). -16 Let c(o) = -o - 25. Calculate c(10). -35 Let j(b) = 4*b - 52. What is j(14)? 4 Let z(d) = -23*d + 5. Calculate z(3). -64 Let l(s) = -10*s - 6. Calculate l(-4). 34 Let y(a) = a**3 + 2*a**2 + 3*a - 22. Calculate y(0). -22 Let f(o) = 10*o - 56. Give f(6). 4 Let o(s) = s**3 + 8*s**2 - 7*s - 6. What is o(-9)? -24 Let k(h) = h - 3. Determine k(-4). -7 Let d(l) = -33*l - 2. Give d(-1). 31 Let t(i) = i**2 + 6*i + 10. What is t(-5)? 5 Let p(h) = 7*h + 44. What is p(-5)? 9 Let n(z) = z**3 - 19*z**2 - z + 37. Determine n(19). 18 Let r(i) = i**2 + 8*i - 182. Calculate r(-18). -2 Let t(i) = i**2 + 12*i - 21. Determine t(-14). 7 Let t(o) = -2*o**2 + 18*o + 74. Give t(13). -30 Let m(i) = -2*i**3 - 12*i**2 - 3*i - 15. What is m(-6)? 3 Let g(v) = -v**2 - 15*v. What is g(-15)? 0 Let z(g) = g**2 - 3*g + 2. What is z(3)? 2 Let l(i) = i**3 + 3*i**2 - 6*i - 12. Determine l(-4). -4 Let k(x) = -15*x - 52. Calculate k(-6). 38 Let w(t) = t**3 + 17*t**2 + t + 8. Calculate w(-17). -9 Let u(d) = -2*d**3 + 13*d**2 + 13*d - 3. Give u(7). 39 Let h(s) = s**2 + 41*s + 296. Give h(-32). 8 Let t(o) = -o**3 - 6*o**2 + 5*o - 12. What is t(-6)? -42 Let k(x) = 6*x - 4. What is k(7)? 38 Let m(c) = 28*c + 1. Give m(1). 29 Let m(s) = 3*s**2 + 61*s + 286. Determine m(-13). 0 Let r(f) = 9*f + 4. Determine r(1). 13 Let i(j) = j + 4. Determine i(8). 12
{ "pile_set_name": "DM Mathematics" }
, 54, 51, 48? -3*g + 60 What is the i'th term of -10, 54, 156, 290, 450? -i**3 + 25*i**2 - 4*i - 30 What is the n'th term of 408, 824, 1250, 1686, 2132, 2588? 5*n**2 + 401*n + 2 What is the t'th term of -734, -1468, -2202, -2936? -734*t What is the c'th term of -371, -742, -1113, -1484, -1855, -2226? -371*c What is the w'th term of -658, -660, -662, -664, -666? -2*w - 656 What is the p'th term of 1581, 1536, 1477, 1398, 1293? -p**3 - p**2 - 35*p + 1618 What is the s'th term of 32, 56, 116, 230, 416, 692, 1076, 1586? 3*s**3 + 3*s + 26 What is the n'th term of -9, -36, -103, -228, -429, -724, -1131? -3*n**3 - 2*n**2 - 4 What is the p'th term of 34203, 34198, 34189, 34176, 34159, 34138? -2*p**2 + p + 34204 What is the q'th term of 114, 379, 814, 1413, 2170, 3079? -q**3 + 91*q**2 - q + 25 What is the z'th term of -164, -317, -470, -623, -776, -929? -153*z - 11 What is the c'th term of -28, -130, -300, -538, -844? -34*c**2 + 6 What is the f'th term of -6, -47, -116, -213, -338? -14*f**2 + f + 7 What is the n'th term of 52, 30, -16, -92, -204? -n**3 - 6*n**2 + 3*n + 56 What is the q'th term of -122, -120, -118, -116, -114, -112? 2*q - 124 What is the o'th term of -174, -187, -200, -213? -13*o - 161 What is the a'th term of 94, 101, 108? 7*a + 87 What is the b'th term of -17, -55, -113, -185, -265, -347, -425, -493? b**3 - 16*b**2 + 3*b - 5 What is the g'th term of 107, 128, 155, 188, 227, 272? 3*g**2 + 12*g + 92 What is the a'th term of 2285, 2292, 2303, 2318, 2337, 2360? 2*a**2 + a + 2282 What is the k'th term of 130, 125, 120, 115? -5*k + 135 What is the q'th term of -121, -133, -159, -205, -277, -381, -523? -q**3 - q**2 - 2*q - 117 What is the o'th term of -70, -37, -14, -7, -22, -65? -o**3 + o**2 + 37*o - 107 What is the n'th term of -22, -47, -70, -91, -110, -127? n**2 - 28*n + 5 What is the i'th term of 13, 12, 21, 46, 93, 168? i**3 - i**2 - 5*i + 18 What is the a'th term of 29, 49, 67, 83, 97? -a**2 + 23*a + 7 What is the l'th term of 1589, 3180, 4777, 6386, 8013? l**3 - 3*l**2 + 1593*l - 2 What is the d'th term of -41, -76, -109, -140, -169, -196, -221? d**2 - 38*d - 4 What is the t'th term of -415, -829, -1243, -1657, -2071, -2485? -414*t - 1 What is the h'th term of -44, -195, -446, -797, -1248? -50*h**2 - h + 7 What is the g'th term of -220, -377, -520, -643, -740, -805, -832? g**3 + g**2 - 167*g - 55 What is the q'th term of -32, 6, 44, 82, 120, 158? 38*q - 70 What is the v'th term of -17, -30, -43, -56? -13*v - 4 What is the a'th term of -167, -170, -175, -182? -a**2 - 166 What is the g'th term of -1, -13, -27, -43, -61, -81, -103? -g**2 - 9*g + 9 What is the j'th term of -13, -57, -129, -229? -14*j**2 - 2*j + 3 What is the z'th term of -1983, -1981, -1979, -1977? 2*z - 1985 What is the s'th term of 6, 120, 324, 624, 1026, 1536, 2160, 2904? s**3 + 39*s**2 - 10*s - 24 What is the a'th term of 499, 963, 1389, 1771, 2103? -a**3 - 13*a**2 + 510*a + 3 What is the z'th term of -19834, -19832, -19830, -19828, -19826, -19824? 2*z - 19836 What is the b'th term of -12, -30, -56, -96, -156, -242, -360? -b**3 + 2*b**2 - 17*b + 4 What is the n'th term of 52, 127, 296, 607, 1108, 1847, 2872? 8*n**3 - n**2 + 22*n + 23 What is the v'th term of -10540, -10541, -10542? -v - 10539 What is the b'th term of -13, -36, -73, -124, -189? -7*b**2 - 2*b - 4 What is the m'th term of 35, 70, 107, 146? m**2 + 32*m + 2 What is the v'th term of 88, 102, 128, 172, 240, 338, 472? v**3 + 7*v + 80 What is the x'th term of 17, 15, 3, -25, -75, -153? -x**3 + x**2 + 2*x + 15 What is the f'th term of 193, 387, 581? 194*f - 1 What is the m'th term of -8, 10, 56, 136, 256, 422? m**3 + 8*m**2 - 13*m - 4 What is the j'th term of -58, -116, -176, -238? -j**2 - 55*j - 2 What is the c'th term of -17, 27, 85, 151, 219, 283, 337? -c**3 + 13*c**2 + 12*c - 41 What is the x'th term of -57, -27, 27, 111, 231, 393, 603, 867? x**3 + 6*x**2 + 5*x - 69 What is the a'th term of 22, 45, 68, 91, 114? 23*a - 1 What is the g'th term of 156, 155, 154? -g + 157 What is the g'th term of 16, -26, -90, -170, -260? g**3 - 17*g**2 + 2*g + 30 What is the i'th term of -60, -78, -108, -150, -204, -270, -348? -6*i**2 - 54 What is the a'th term of -10, -54, -134, -256, -426, -650, -934, -1284? -a**3 - 12*a**2 - a + 4 What is the l'th term of -35, -102, -181, -278, -399, -550? -l**3 - 60*l + 26 What is the z'th term of 512, 513, 508, 497, 480, 457, 428? -3*z**2 + 10*z + 505 What is the y'th term of 8, 28, 50, 74, 100, 128? y**2 + 17*y - 10 What is the b'th term of 304, 303, 302, 301, 300? -b + 305 What is the a'th term of 4382, 4386, 4400, 4430, 4482, 4562, 4676? a**3 - a**2 + 4382 What is the h'th term of -56, -113, -170, -227, -284? -57*h + 1 What is the x'th term of -5, -11, -37, -95, -197, -355, -581? -2*x**3 + 2*x**2 + 2*x - 7 What is the m'th term of 284, 566, 848, 1130, 1412? 282*m + 2 What is the v'th term of -28, -35, -42, -49, -56, -63? -7*v - 21 What is the n'th term of -34, -123, -212, -301? -89*n + 55 What is the a'th term of 18, 99, 302, 687, 1314? 10*a**3 + a**2 + 8*a - 1 What is the w'th term of 1644, 1642, 1640, 1638? -2*w + 1646 What is the s'th term of -133, -118, -95, -64? 4*s**2 + 3*s - 140 What is the b'th term of -466, -479, -492? -13*b - 453 What is the m'th term of 49, 50, 41, 16, -31, -106? -m**3 + m**2 + 5*m + 44 What is the f'th term of 20, 97, 240, 461, 772, 1185, 1712? 2*f**3 + 21*f**2 - 3 What is the k'th term of -162, -332, -502? -170*k + 8 What is the m'th term of -20, 0, 54, 160, 336? 3*m**3 - m**2 + 2*m - 24 What is the u'th term of 167, 168, 181, 212, 267, 352? u**3 - 6*u + 172 What is the l'th term of -1007, -2013, -3015, -4013, -5007, -5997, -6983? 2*l**2 - 1012*l + 3 What is the r'th term of 5351, 21394, 48133, 85568, 133699? 5348*r**2 - r + 4 What is the q'th term of 256, 952, 2120, 3766, 5896? q**3 + 230*q**2 - q + 26 What is the o'th term of -19, -38, -57, -76, -95, -114? -19*o What is the z'th term of 51, 99, 147, 195, 243, 291? 48*z + 3 What is the l'th term of -65, -113, -161, -209? -48*l - 17 What is the t'th term of 6, 16, 30, 48, 70? 2*t**2 + 4*t What is the h'th term of -3643, -7284, -10925, -14566, -18207, -21848? -3641*h - 2 What is the y'th term of 17, 2, -43, -124, -247, -418, -643, -928? -y**3 - 9*y**2 + 19*y + 8 What is the r'th term of -9, -16, -31, -54, -85? -4*r**2 + 5*r - 10 What is the p'th term of 34, 42, 50, 58, 66? 8*p + 26 What is the p'th term of -106, -133, -184, -265, -382, -541? -p**3 - 6*p**2 - 2*p - 97 What is the h'th term of -43, -44, -57, -88, -143? -h**3 + 6*h - 48 What is the l'th term of -33, -42, -65, -108, -177, -278, -417, -600? -l**3 - l**2 + l - 32 What is the i'th term of -4, -14, -22, -28? i**2 - 13*i + 8 What is the q'th term of 43, 76, 105, 130, 151? -2*q**2 + 39*q + 6 What is the q'th term of -71, -100, -151, -236, -367? -2*q**3 + q**2 - 18*q - 52 What is the g'th term of -1929, -1920, -1911, -1908, -1917, -1944, -1995, -2076? -g**3 + 6*g**2 - 2*g - 1932 What is the f'th term of -2768, -5534, -8300, -11066, -13832? -2766*f - 2 What is the j'th term of 7185, 14372, 21559, 28746, 35933, 43120? 7187*j - 2 What is the j'th term of -24, -94, -212, -378? -24*j**2 + 2*j - 2 What is the l'th term of -1818, -1820, -1822, -1824, -1826, -1828? -2*l - 1816 What is the t'th term of -119, -114, -105, -92? 2*t**2 - t - 120 What is the s'th term of -3, -1, 11, 39, 89? s**3 - s**2 - 2*s - 1 What is the m'th term of -251, -254, -257, -260, -263, -266? -3*m - 248 What is the c'th term of 2983, 2968, 2943, 2902, 2839, 2748, 2623? -c**3 + c**2 - 11*c + 2994 What is the j'th term of 2, 6, 20, 50, 102, 182, 296, 450? j**3 - j**2 + 2 What is the a'th term of 12836, 12843, 12854, 12869, 12888? 2*a**2 + a + 12833 What is the g'th term of 234, 233, 232? -g + 235 What is the r'th term of 152, 299, 442, 581, 716? -2*r**2 + 153*r + 1 What is the b'th term of -124, -108, -102, -112, -144, -204, -298, -432? -b**3 + b**2 + 20*b - 144 What is the j'th term of -1752, -3497, -5232, -6951, -8648, -10317, -11952, -13547? j**3 - j**2 - 1749*j - 3 What is the g'th term of 7, 45, 93, 145, 195, 237? -g**3 + 11*g**2 + 12*g - 15 What is the d'th term of -195, -199, -201, -201, -199, -195? d**2 - 7*d - 189 What is the h'th term of 783, 788, 797, 810, 827, 848? 2*h*
{ "pile_set_name": "DM Mathematics" }
erivative of 4*i**7/21 - 46*i**6/15 - 66*i**5/5 - 55*i**4/3 - 28*i**3/3 + 659*i - 2. Solve h(z) = 0 for z. -1, -1/2, 0, 14 Suppose 0 = -8*g + 7*g - 11*g. Let i(k) be the second derivative of 0 + 8*k + g*k**2 - 1/60*k**4 + 1/15*k**3. Factor i(c). -c*(c - 2)/5 Let v(t) be the first derivative of 5*t**6/6 + 2*t**5 - 15*t**4/4 - 40*t**3/3 - 10*t**2 + 77. Factor v(k). 5*k*(k - 2)*(k + 1)**2*(k + 2) Let m(v) be the first derivative of 2*v**3/3 + 276*v**2 + 38088*v - 111. Factor m(x). 2*(x + 138)**2 Determine n, given that -1/3 - 13/6*n**3 + 13/6*n - 3/2*n**2 + 11/6*n**4 = 0. -1, 2/11, 1 Let p(g) be the first derivative of -g**6/105 + g**5/35 - g**4/42 + 9*g + 12. Let c(i) be the first derivative of p(i). Factor c(x). -2*x**2*(x - 1)**2/7 Let j(y) be the third derivative of 1/40*y**5 + 0*y - 1/420*y**7 + 0*y**4 + 0 + 0*y**3 - 3*y**2 + 1/120*y**6. Solve j(r) = 0. -1, 0, 3 Find w such that 3/5*w**4 - 27/5*w**2 + 3*w + 0 + 9/5*w**3 = 0. -5, 0, 1 Let l = -275/77532 - -3/364. Let w = 644/1065 - l. Determine v so that -w*v**2 + 1/5*v**4 + 0*v**3 - 2/5*v + 0 = 0. -1, 0, 2 Let n = 22 - 4. Let h = n - 15. Factor -2*w**2 + 5*w - h*w - w**3 + 3*w**2. -w*(w - 2)*(w + 1) Let t be (-1 - 5) + 3 + 3. Let r be (-61)/(-21) + (t - (-30)/70). Find v such that r*v + v**2 + 1 = 0. -3, -1/3 Let x(c) be the first derivative of -c**5/60 + c**3/6 - 25*c**2/2 + 2. Let v(s) be the second derivative of x(s). Determine q, given that v(q) = 0. -1, 1 Let w(p) be the second derivative of 0 - p**3 - 3/5*p**5 - 5/4*p**4 - 1/10*p**6 + 0*p**2 + 8*p. Suppose w(m) = 0. What is m? -2, -1, 0 Factor 13/5*q**2 + 0*q + 0 - 1/5*q**3. -q**2*(q - 13)/5 Let n(h) be the first derivative of 1/20*h**5 - 31 - 3/8*h**4 + 1/3*h**3 - 5/4*h + 3/4*h**2. Factor n(m). (m - 5)*(m - 1)**2*(m + 1)/4 Let r(x) = -111*x + 6774. Let z be r(61). Determine p, given that -1/2*p**z + 3/10*p**2 + 1/10*p**4 + 9/10*p + 0 = 0. -1, 0, 3 Factor -604/7*t + 45602/7 + 2/7*t**2. 2*(t - 151)**2/7 Let 63*v**2 + 73*v - 46*v + 3*v**3 + 24*v - 6*v**2 + 51 + 54*v = 0. What is v? -17, -1 Let i(u) be the first derivative of -u**4/26 + 186*u**3/13 - 25947*u**2/13 + 1608714*u/13 - 597. Suppose i(j) = 0. Calculate j. 93 Let n(k) = -4*k**5 + 24*k**4 + 88*k**3 - 128*k**2 - 204*k + 176. Let v(i) = -i**4 - i**3 - i**2 - i. Let u(m) = -n(m) + 12*v(m). Find c such that u(c) = 0. -2, 1, 11 Suppose 87*s + 14055 = 14229. Find f such that 2/11*f**3 + s*f + 0 + 24/11*f**2 = 0. -11, -1, 0 Let w(c) be the third derivative of 1/390*c**5 - 9*c**2 - 1/52*c**4 + 0*c + 0*c**3 + 0. Determine a, given that w(a) = 0. 0, 3 Factor -12*g**2 + 12*g**4 + 3*g**3 + 13*g**3 + 0*g**3 + 4*g**5 - 2*g**5 - 18*g. 2*g*(g - 1)*(g + 1)*(g + 3)**2 Let o = -8/1381 + 11088/6905. Factor 4/5 + 8/5*x**3 + 0*x**2 - o*x - 4/5*x**4. -4*(x - 1)**3*(x + 1)/5 Let b(d) be the second derivative of -7*d**5/5 - 61*d**4/3 + 180*d**3 - 144*d**2 + 306*d. Find n such that b(n) = 0. -12, 2/7, 3 Let l = -146 - -151. Let f be 12/27*6 + (-1)/6. What is i in 5*i**2 - 1/2*i**5 + 5/2*i**4 - l*i**3 + 1/2 - f*i = 0? 1 Let p be ((-5)/(-39))/((-150)/(-360)). Factor 0*i**2 + p*i - 2/13*i**4 - 4/13*i**3 + 2/13. -2*(i - 1)*(i + 1)**3/13 Let i(p) be the third derivative of 0*p**3 - 1/280*p**7 - 35*p**2 + 0 + 1/8*p**4 + 1/20*p**5 - 1/160*p**6 + 0*p. What is r in i(r) = 0? -2, -1, 0, 2 Let f be (-37)/(-3) - 2/(-3). Suppose 6 = 2*x + 4, 3*w + 4*x = f. Solve 6*j**2 - 5*j**2 + w - 2 + j + j = 0 for j. -1 Let c(a) be the second derivative of -a**4/12 - 18*a**3 - 1458*a**2 - 113*a. Factor c(y). -(y + 54)**2 Let o(t) be the first derivative of -t**3 + 45*t**2/2 - 150*t - 246. Factor o(d). -3*(d - 10)*(d - 5) Factor 6*m**2 - 6*m**2 + 4*m**3 - 10*m - 3 + 9*m**2. (m - 1)*(m + 3)*(4*m + 1) Let y be ((-4)/25)/(36/20 - 2). Solve 0*u**2 - 4/5 + y*u**4 - 8/5*u**3 + 8/5*u = 0 for u. -1, 1 Let z(q) = -3*q**3 + 2*q + 1. Let s be z(-1). Factor -12*i**4 - 4*i**2 + 15*i**3 + 7*i**4 - 16*i**s + 5*i**2 + 5*i. -5*i*(i - 1)**3 Let c be ((0 - -2) + -4)*-1. Suppose -13*z - 4*u = -15*z + 8, 0 = 3*u. Find h, given that h**3 - 1/2*h + 0 - 1/2*h**5 + 0*h**c + 0*h**z = 0. -1, 0, 1 Let b(k) be the second derivative of 4/195*k**6 - 2/65*k**5 - 1/273*k**7 - 1/39*k**4 + 0 - 2/13*k**2 + 5/39*k**3 - 19*k. Solve b(j) = 0. -1, 1, 2 Let t be 5*(7 - 12/3). Find p, given that 12*p**2 - t*p + 2 - 3*p**3 + 6 - 2 = 0. 1, 2 Suppose -48 = 12*t - 9*t. Let p be ((-6)/16)/(12/t). Determine i so that -1 - 1/2*i**4 - 1/2*i**3 + p*i + 3/2*i**2 = 0. -2, -1, 1 Let l(p) be the first derivative of -9*p**4/4 + 8*p**3 - 9*p**2/2 - 6*p + 63. Solve l(t) = 0 for t. -1/3, 1, 2 Let w(b) = -b**2 - 20*b - 11. Let y be w(-19). Suppose -18*p + 28*p**3 - y*p**3 - 57*p**2 - 5*p**4 - 52*p**3 = 0. Calculate p. -3, -2/5, 0 Let h(r) be the second derivative of r**6/5 + 11*r**5/5 + 16*r**4/3 - 32*r**3/3 - 40*r. Solve h(s) = 0. -4, 0, 2/3 Let v(a) = -6*a**3 - 9*a**2 - 50*a - 67. Let k(l) = 7*l**3 + 8*l**2 + 48*l + 66. Let r(o) = -5*k(o) - 6*v(o). Solve r(x) = 0 for x. -6, -2 Let s(y) = 12*y**3 - 58*y**2 + 62*y - 16. Let w(c) = -11*c**3 + 58*c**2 - 62*c + 15. Let r(t) = 3*s(t) + 4*w(t). Suppose r(v) = 0. Calculate v. 1/4, 1, 6 Let j(q) be the second derivative of -q**6/2 + 17*q**5 - 2035*q**4/12 + 605*q**3/3 + 139*q. Suppose j(k) = 0. Calculate k. 0, 2/3, 11 Let r = -13/30 + 7/12. Let u(b) be the second derivative of -2*b - r*b**5 + 1/2*b**4 - 1/2*b**3 + 0*b**2 + 0. Suppose u(v) = 0. What is v? 0, 1 Let d = -55 - -60. Let u(p) be the second derivative of 5/48*p**4 + 1/8*p**6 + 10*p - 5/168*p**7 + 0*p**2 - 3/16*p**d + 0*p**3 + 0. Factor u(s). -5*s**2*(s - 1)**3/4 Let h(s) = -68 - 3*s + 13 + 7. Let f be h(-16). Factor -1/2*j**3 + 1/2*j + 0 + f*j**2. -j*(j - 1)*(j + 1)/2 Let w(n) be the first derivative of -n**4/16 + 3*n**3/2 - 15*n**2/8 - 17*n/2 + 407. Factor w(a). -(a - 17)*(a - 2)*(a + 1)/4 Let w(q) be the first derivative of -q**7/210 - q**6/108 + q**5/180 + 8*q**3/3 - 5. Let a(r) be the third derivative of w(r). Suppose a(l) = 0. Calculate l. -1, 0, 1/6 Factor 2*b**4 - 4*b + 6*b - 9*b**2 + 2*b**4 + 0*b**3 - 9*b**3 + 12*b**3. b*(b - 1)*(b + 2)*(4*b - 1) Let f be (-3 + 8)*(-14)/(-35). Let a(q) be the second derivative of -3/20*q**5 + 0 + 1/2*q**3 + 0*q**f + 15*q + 0*q**4. Find g, given that a(g) = 0. -1, 0, 1 Let i(z) be the second derivative of -2*z**6/15 + z**5 - 8*z**4/3 + 8*z**3/3 + 143*z. Factor i(s). -4*s*(s - 2)**2*(s - 1) Let w(c) = 5*c - c + c**2 - 4*c**2. Let p(b) = -12*b**2 + 15*b. Suppose -g + 82 = 73. Let h(r) = g*w(r) - 2*p(r). Suppose h(k) = 0. Calculate k. 0, 2 Let j be 1/(90/(-20) - -5). Suppose 0 - 2/9*f**j + 2/9*f = 0. Calculate f. 0, 1 Suppose 13*s = -12*s + 3800. Let x = s - 149. What is j in -2*j**x + 0 + 4/3*j**2 + 0*j - 10/3*j**4 = 0? -1, 0, 2/5 Let -17/5*y**4 + 36/5*y**2 + 3*y**3 + 4/5*y + 0 = 0. Calculate y. -1, -2/17, 0, 2 Let h(c) be the first derivative of -45*c**4/4 - 5*c**3 + 325*c**2/2 + 375*c + 264. Factor h(y). -5*(y - 3)*(3*y + 5)**2 Suppose 14 - 4 = 5*i. Factor -53*k**i + 59*k**2 - 4*k**5 + 15*k**3 + 2*k**5 + 12*k**4 + 5*k**5. 3*k**2*(k + 1)**2*(k + 2) Find v, given that 3721/5 - 122/5*v + 1/5*v**2 = 0. 61 Let d(l) = l**3 + 11*l**2 + 3. Let r be d(-11). Suppose -92*z + 29 + 41*z + 1 - 66*z**2 + 15*z**r = 0. Calculate z. -1, 2/5, 5 Let c = -26 - -28. Let z(i) = i - 4. Let d be z(6). Factor 74*x**c + 4*x - 75*x**2 + 1 - 2*x**3 - d*x. -(x - 1)*(x + 1)*(2*x + 1) Let x = -63 - -61. Let c be 4/(-8)*-8*x/(-12). Find i, given that c*i**5 + 0 + 4/3*i**4 - 4/3*i**2 + 0*i**3 - 2/3*i = 0. -1, 0, 1 Let -19*u**3 + 114*u**2 + 70*u**3 + 1454*u**5 - 1445*u**5 - 174*u**4 = 0. What is u? -2/3, 0, 1, 19 Let c(v) be the second derivative of v**6/90 + v**5/20 - v**4/12 - 7*v**3/18 + v**2 + 5*v - 2. Determine u, given that c(u) = 0. -3, -2, 1 Let b(n) be the first derivative of -3*n**4/4 + 8*n**3 - 57*n**2/2 + 36*n + 40. Factor b(x). -3*(x - 4)*(x - 3)*(x - 1) Let x(r) be the third derivative of 1/10*r**5 + 0*r**4 + 0 - 1/40*r**6 + 0*r - 14*r**2 + 0*r**3. Factor x(t). -3*t**2*(t - 2) Let k(x) be the second derivative of -11*x + 0 - 45/4*x**5 + 10*x**3 - 185/12*x**4 + 10*x**2. Factor k(b). -5*(b + 1)*(5*b - 2)*(9*b + 2) Factor -16*j + 88 - 42*j + 94*j - 4*j**2. -4*(j - 11)*(j + 2) Let q(b) = b**3 - b + 1. Let c = 2 + -3. Let a(l) = -3*l**3 + 4*l**3 + 3*l**3 - 1 - 4*l - l
{ "pile_set_name": "DM Mathematics" }
1 - 0.2. Let r = -0.1 - c. Let b = 0.032 + -0.032. Are b and r nonequal? True Let f = -0.08 - -0.05. Let s = f - -0.03. Is s smaller than 0.1? True Let u(v) = v**3 - v**2 - 1. Let o be u(0). Let x = -8.8 + 12. Let n = 3 - x. Are o and n nonequal? True Suppose 34 = 11*m - 9*m. Are m and 18 equal? False Let s be 12/20 - 6/20. Do -1 and s have different values? True Let r = -3 + 6. Suppose 0 = -b + r - 9. Is b equal to -6? True Let f = -38/7 - -639/119. Which is bigger: -1 or f? f Let w = 4.46 + -0.66. Are -2/5 and w non-equal? True Let p be (-4)/(-12)*(11 - -1). Suppose 0*i - 2*s + 34 = 2*i, 3*i = 4*s + 16. Let j be ((-6)/p)/(63/i). Which is bigger: j or 3/2? 3/2 Let y be 2/(-8) - 38/8. Suppose 2*d + d = -21. Let c = y - d. Which is smaller: 0 or c? 0 Suppose 0*u - 15 = -5*u. Suppose -3*o + 0 = -6. Which is smaller: o or u? o Let s(t) = -2*t. Let w be s(-2). Suppose 0 = 3*c + i - 8, -4*c - i + w = -3*i. Are c and 1/2 unequal? True Let z be (6 + 0 + -3)*1. Suppose z*d - 2 = -20. Is d >= -6? True Let j = 120 - 76. Let u = -133/3 + j. Are u and 1 unequal? True Let l(r) = -r + 7. Let f be l(3). Are -1 and f nonequal? True Let o = 42 + -207/5. Suppose 5*h + 2*z - 48 = 0, 6*z = 5*h + 2*z - 24. Let u be h/20*(2 + 3). Which is bigger: o or u? u Let m(z) = -z + 3. Let b be m(-4). Suppose -g - b = 3*c, 2*g + 0 + 2 = 0. Is 2 equal to c? False Let r(d) = -3*d - 3. Let g be r(-5). Let a be 1/2*(-3)/g. Which is smaller: a or 1? a Suppose -5*h + h + 16 = 0. Let x be 4/(-10) - 36/(-15). Suppose -x*t + 2 + 4 = 0. Which is smaller: h or t? t Let c = -50.1 - -48. Let b = c - -4.1. Which is greater: b or -2? b Let a(m) = -m**3 + 9*m**2 - 6*m + 18. Let w be a(9). Which is smaller: -37 or w? -37 Suppose 15 = -7*o + 2*o. Let b be o/(-9) - (-10)/(-3). Let h = 3 + b. Is 6/7 > h? True Suppose -4*a + 5*z = 22, -4*z + 0 = -8. Is -3 bigger than a? False Let n be 1/(0 - (-1)/(-5)). Suppose t + 3*t = 108. Suppose 0 = -5*o + 7 - t. Is o less than n? False Let c = -19 + 8. Is -13 at most as big as c? True Let x = -11 - -13. Suppose -1 = -x*j + 3. Let m = -0.1 + 0. Is j not equal to m? True Let w = 0.95 - 0.85. Is -65 != w? True Let a = -121 - -2301/19. Is -1 equal to a? False Let v = -2 - 0.5. Let g = 7.5 + -8. Let h = v - g. Is -0.1 > h? True Let g(p) = p**2 - 2*p + 7. Let z(u) = -u**2 + u - 8. Let j(k) = -7*g(k) - 6*z(k). Let r be j(8). Which is smaller: 4/15 or r? r Suppose -l = 4*l + 10. Suppose 25 = 5*h - 5*n, -3*h = 4*n + 3 + 3. Let y be (l + h/1)/(-1). Which is greater: 1/3 or y? 1/3 Let s = -0.96 + -2.24. Is s at most as big as 2? True Let w = -34 - -41.4. Let m = w - 8. Let t = 1.6 + m. Are 2/5 and t unequal? True Let k = 0.22 - 10.22. Let g = -32 - -38. Let r = -25/4 + g. Is r less than k? False Let f = 16 - 15. Let r be f/(-2)*42/7. Is r <= 1? True Let j(t) = 5*t**3 - 4*t**2 + 3*t - 4. Let x be j(4). Let r = 1334/5 - x. Let q = r - 33/10. Does q = -1/3? False Suppose -3*m - 2*s + 11 = 0, 3*m = -0*s - 4*s + 19. Let p = 6 + m. Is 6 less than p? True Let q(p) be the first derivative of -p**3/6 - 7*p**2/2 + p - 2. Let i(a) be the first derivative of q(a). Let l be i(-6). Do -3/2 and l have the same value? False Let k be -6 + 5 + (6 - 0). Suppose 3*u = 2*u - k. Let w = u + 4. Which is smaller: 0 or w? w Suppose -g = -3*g - 2*p + 68, 3*g - 112 = 2*p. Let j be (-8)/g + 4/(-63). Which is smaller: -3/5 or j? -3/5 Let i = 23/4 - 125/28. Is 1 less than or equal to i? True Let s be -1 + (1 - 0)*2. Let i = -18 - -15. Which is smaller: i or s? i Let c be ((-8)/(-440))/((-4)/(-25)). Let k = -4/11 + c. Which is smaller: 1 or k? k Let c = -60 + 34. Let i be c/(-10) - 2 - 1. Which is greater: i or -1? i Suppose 3*p = -3*x + 7*x + 28, -36 = -5*p + 4*x. Which is smaller: p or 0? 0 Suppose 0 = -2*h + 6 - 8. Let t be (-16)/10 + 4/(-10). Which is bigger: t or h? h Let t be 1/2*4/2. Which is greater: t or -3/13? t Suppose -2*i + 5*i + 6 = 0. Let z = -5 - -1. Is z at most as big as i? True Suppose g - 32 = 4*w, -2*w - 2*g + 15 - 41 = 0. Let p(u) be the third derivative of -u**4/12 - 13*u**3/6 + u**2. Let l be p(w). Is l equal to 4? False Suppose 0 = 5*a + 10 - 45. Let m(c) be the third derivative of c**6/120 - 7*c**5/60 - c**4/12 + 5*c**3/3 + 2*c**2. Let h be m(a). Is h greater than -4? False Let h(c) = 3*c + 25. Let k be h(-10). Does k = -26/5? False Suppose 0 = 5*w - w. Let j = 4 - 3. Let l be (j + 0)/(3*3). Which is bigger: w or l? l Let x be (-9)/(-4) + (-1 - 1). Let p = 1 - -2. Suppose -4*u = -20, 0 = -4*z + p*u - 9 - 6. Which is bigger: x or z? x Suppose -2*q - 3*q + 25 = 0. Suppose r - q = -4*r. Is r bigger than -1/3? True Let g = -16/35 + 6/35. Are -34 and g equal? False Let c be (2 - 5)*4/12. Which is bigger: c or 1/7? 1/7 Let q = -2 + 1. Let m = -82 + 573/7. Which is greater: m or q? m Suppose -4*x + s - 5 = x, 0 = -3*x - 5*s - 3. Let o(l) = 2 + l - 4 + 2. Let d be o(x). Is d <= 3/7? True Let g = -0.04 - -0.44. Let k = g + -0.3. Let y be (-3)/9 - -2 - 2. Are k and y equal? False Let v(n) = -64*n. Let o be v(2). Let c be 8/(-12) + o/(-3). Let i be 8/c*(-15)/10. Which is greater: i or 2? 2 Let l be 2*-1*2/4. Which is bigger: -3/17 or l? -3/17 Let t(c) = -2*c - 10. Let s be t(-9). Suppose -4*q + 2*p + 17 = 1, 0 = -2*p - s. Let f be 1/q - 44/40. Which is greater: -1 or f? f Let p = 21.77 - -0.23. Let s = 19 - p. Which is smaller: s or 2? s Suppose 0 = -p + 3*p - 4, 2 = -4*a + 5*p. Let v = a - 1. Suppose 1 = d - v. Is 1 != d? True Suppose i + 5*v + 42 = 0, -6*i + i + 2*v = 210. Let h be 4/i*(5 + -2). Are 2 and h nonequal? True Let w(v) = -v + 1. Let n be w(3). Let x = 2 + n. Let u = -2 + 1. Is x greater than u? True Let n = 0.4 + -4.4. Let z = 4 + n. Is z at most -2? False Let m be (-1)/(0 + 3/21). Let r be 43/(m*(-1)/(-13)). Let d = 80 + r. Which is greater: -1 or d? d Let a(c) = -4*c + 2. Let r be a(3). Let h(z) = 3*z**2 + 4*z + 1. Let x be h(-3). Let n = r + x. Which is smaller: 5 or n? 5 Suppose -3*x + 80 = -7*x. Let r be ((-4)/x)/((-8)/(-15)). Is r smaller than 1? True Let s be (-10)/(-15) + 4/((-444)/77). Which is greater: s or -1? s Suppose -o = -3*o. Suppose -2*z = 1 - 7, -229 = x + 3*z. Let y be 2/(-7) - 40/x. Which is bigger: y or o? o Let i be 1194/124*2/(-72). Let g be ((-20)/9)/((-62)/(-3)). Let u = i + g. Which is greater: 1 or u? 1 Let d = -1/3579 - 13925/1399389. Let o = 2019/6256 + d. Let a = -77/144 + o. Which is greater: -2 or a? a Let r = 10 + 8. Suppose 5*g + r = 2*i - 7, -5*i + 31 = -2*g. Suppose 2*o + 1 - i = 0. Which is greater: 0 or o? o Let l be 18/(-15) + (-1)/(-5). Which is smaller: l or -2/163? l Suppose 5*l - 4 = -2*i, l + 2*l + 5*i = -9. Is 0.09 equal to l? False Let w = -47/7 + 7. Let j = 2 + -3. Do j and w have the same value? False Suppose 10 = 2*n + 4*m, 3*m - 15 = -4*n - 0*m. Suppose 33 + n = 5*g - 3*i, -g = -2*i - 10. Which is smaller: g or 4? 4 Suppose -3*p - 11 = 5*z + 11, -4*z = 20. Suppose 7*k - 3*k - 20 = 4*h, 0 = h - 4*k + 2. Let d be (-10)/h + -6 + 5. Is p greater than d? True Suppose t = b + 36, 46 + 113 = -4*b - t. Let i be (-1 + 1 - -2)*-1. Let c be i/8 + b/(-60). Which is greater: c or -0.3? c Let x = -341 + 4435/13. Is 0.1 less than or equal to x? True Suppose t + 4*t + 65 = 5*f, -3*f - 6 = 0. Which is bigger: -0.1 or t? -0.1 Suppose 4*w + v = -4 - 1, 10 = -4*w - 2*v. Suppose 4*j - 16 + 4 = w. Suppose 0 = 2*l + j*l + 15. Do -2 and l have different values? True Suppose -2*r + 5*r - 3*s + 51 = 0, 2*r + 34 = 4*s. Are -16 and r equal? False Let c(x) = 2*x**2 + 9*x + 2. Let i be c(-6). Let j = i + -26. Does -6 = j? True Let d = -267 + 4807/18. Which is greater: 1 or d? 1 Let b = 10 - 9. Let l(q) = -2*q**3 - q**2 - 2*q - 1. Let i be l(-1). Let v be 1/i - (1 - 0). Which is smaller: v or b? v Let y = -31/3 - -208/21. Let u = 0 + 0. Which is bigger: u or y? u Let a = 3.7 - 4. Let i = a + 0.1. Let p = 19/3 + -73/12. Which is greater: i or p? p Let h be 0 + 1 - 3372/(-28). Let m = h + -122. Let d = 1 + -2. Do m and d have the same value? False Let g = 0.5 + 0.8. Let r = g + -1.6. Are r and -1 equal? False Suppose 3 = -p + 4. Suppose 4 = -n + p. Let y be 6*(-2 - (-12)/9). Which is greater: n or y? n Suppose 0 = -4*n - m - 23, 5*m = n + 7 + 4. Which is greater: -5 or n? -5 Let b be (-4)/14 - (-32)/14. Let v be (-3)/(6/(-4)) + -1. Suppose -v = -2*
{ "pile_set_name": "DM Mathematics" }
2 + 0*z**3 - 3 - 10*z. Suppose u(j) = 0. Calculate j. -2, 1 Let b(s) = 15*s**4 - 18*s**3 + 19*s**2 - 2*s + 6. Let n(u) = u**4 + u**3 + u**2 + 1. Let r(o) = 5*b(o) - 30*n(o). Factor r(i). 5*i*(i - 2)*(3*i - 1)**2 Determine m, given that m**2 + 3*m**2 - 600*m + 18950 + 3550 = 0. 75 Let g(w) be the second derivative of 5/36*w**4 + 0 + 26*w - 1/60*w**5 - 4/9*w**3 + 2/3*w**2. Determine i, given that g(i) = 0. 1, 2 Let x(o) = 4*o**4 + 24*o**3 - 8*o**2 + 8*o - 16. Let i(z) = -z**2 + z - 2. Let k(u) = -8*i(u) + x(u). Factor k(a). 4*a**3*(a + 6) Factor -3*u**5 + 2*u**2 + 4*u**4 + 8*u**5 - 5*u**3 - 6*u**5. -u**2*(u - 2)*(u - 1)**2 Let m(j) be the third derivative of -27*j**2 + 0*j**4 + 0*j**3 + 0 + 0*j - 1/180*j**5. Factor m(p). -p**2/3 Let m(b) be the first derivative of -1/33*b**3 + 1/11*b - 1/44*b**4 + 1/22*b**2 + 25. Factor m(p). -(p - 1)*(p + 1)**2/11 Factor -44/3*j - 2/9*j**2 - 242. -2*(j + 33)**2/9 Let o(h) be the second derivative of 3*h**5/20 + 6*h**4 + 117*h**3/2 - 507*h**2 + 112*h. Suppose o(f) = 0. What is f? -13, 2 Factor 190/7*m + 2/7*m**3 + 14*m**2 + 94/7. 2*(m + 1)**2*(m + 47)/7 Let t(k) be the second derivative of k**4/30 + 2*k**3/5 + 9*k**2/5 - 218*k. Suppose t(z) = 0. Calculate z. -3 Suppose -4*a + 2*a = 4*c - 46, 5*a + 67 = 4*c. Suppose 17 + c = 5*v + 2*z, -3*z = -v - 11. Factor 4*t**4 - 7*t**v - 8*t**3 + 0*t**3 - t**4 + 4*t**5. 4*t**3*(t - 2)*(t + 1) Let h(z) = -z**3 + 4*z**2 - 2*z + 2. Let j be h(4). Let p be (-8)/j*(-18)/(-8). Factor -2/3*g**p + 1/3 - 1/3*g**4 + 2/3*g + 0*g**2. -(g - 1)*(g + 1)**3/3 Factor -176242250*t**3 - 10680*t + 1034088*t**2 + 4 + 12 + 9 + 1342212*t**2 - 9. -2*(445*t - 2)**3 Let p = -1779 - -8927/5. Factor 16/5*h - p*h**2 + 4*h**3 - 4/5*h**4 + 0. -4*h*(h - 2)**2*(h - 1)/5 Let i = 4234/1581 - 6/527. Let f(a) be the first derivative of -i*a**3 - 2*a**2 + 8/5*a**5 + 0*a + 2/3*a**6 - 9 + 0*a**4. What is c in f(c) = 0? -1, 0, 1 Let m(d) be the second derivative of d**5/390 + 2*d**4/39 + 16*d**3/39 + 3*d**2 + 19*d. Let n(v) be the first derivative of m(v). Factor n(f). 2*(f + 4)**2/13 Let t = -21 + 26. What is x in -2*x**3 + 30*x + t*x**3 - 3*x + 18*x**2 = 0? -3, 0 Let l(i) be the second derivative of i**5/10 - i**4/3 - 8*i**3/3 + 41*i. Let l(g) = 0. What is g? -2, 0, 4 Suppose 17*y - 3*u = 13*y - 15, 10 = 2*y + 2*u. Let t(r) be the second derivative of 1/2*r**2 + 1/6*r**4 - r + y + 1/40*r**5 + 5/12*r**3. Solve t(v) = 0 for v. -2, -1 Let k = 26 - -10. Let l = k - 33. Factor 0 - 1/2*u**l + 0*u + 1/2*u**2. -u**2*(u - 1)/2 Let k(n) be the first derivative of -n**7/70 - 3*n**6/40 - n**5/20 + 3*n**4/8 + n**3 - 11*n**2/2 - 11. Let o(u) be the second derivative of k(u). Factor o(p). -3*(p - 1)*(p + 1)**2*(p + 2) Let u be ((-60)/56 - -1)*(-28)/8. Suppose 2*c + 5*v - 7 = 2*v, c - 5 = -3*v. Suppose g**5 + 11/2*g**c + 17/4*g**4 + u + 7*g**3 + 2*g = 0. Calculate g. -1, -1/4 Let b = -5 + 4. Let j be b/3 - (-14)/6. Find x such that 4*x**2 - 3 - 8*x**2 - 3*x + 4*x**j + 3*x**2 + 3*x**3 = 0. -1, 1 Suppose 444 = 20*m + 384. Factor -6*i**m - 3 - 25/2*i + 5/2*i**5 - 17*i**2 + 4*i**4. (i - 2)*(i + 1)**3*(5*i + 3)/2 Determine q, given that q**2 - 2 + q - 8*q + 26*q + 9 - 11*q = 0. -7, -1 Suppose 0 = -2*g - x + 17, g + 14 = 3*g + 2*x. Factor -2*r**3 + 11*r**2 - g*r**2 + r**4 + 0*r**2. r**2*(r - 1)**2 Let p(o) be the second derivative of -o**4/12 - 5*o**3/3 - 9*o**2/2 - 2*o + 10. Factor p(v). -(v + 1)*(v + 9) Suppose 573 = 3*v - 3*h, -285 = -v - h - 98. Let i be 21/v + 4/18. Factor i*u - 1/3*u**3 - 1/6*u**4 + 0*u**2 + 1/6. -(u - 1)*(u + 1)**3/6 Factor 0 + 1/8*z**2 + 3/4*z. z*(z + 6)/8 Let q(r) be the second derivative of -7*r**8/2560 + r**7/192 + 13*r**6/1920 + r**5/320 + 5*r**4/6 - 15*r. Let d(t) be the third derivative of q(t). Factor d(n). -3*(n - 1)*(7*n + 1)**2/8 Let c(h) be the third derivative of -1/280*h**7 + 7/24*h**4 + 17/480*h**6 - 1/3*h**3 + 0*h + 0 - 13*h**2 - 17/120*h**5. Suppose c(g) = 0. What is g? 2/3, 1, 2 Let n(y) be the second derivative of -2/21*y**3 - 1/42*y**4 + 3/7*y**2 + 0 - 2*y. Find o such that n(o) = 0. -3, 1 Find h such that 113 + 4*h**3 - 6*h**3 + 111*h**2 - 88*h - 84*h - 53*h + 3*h**3 = 0. -113, 1 Let g = 49 + -49. Let i(h) be the third derivative of -5*h**2 - 1/1176*h**8 + 0*h**3 + 1/420*h**6 + 0*h + 0 + 0*h**5 + 0*h**4 + g*h**7. Factor i(o). -2*o**3*(o - 1)*(o + 1)/7 Let x be 6/(-20)*(-8)/3. Let w be ((-2)/(-3))/((-20)/(-36)). Factor -1/5*a**4 - w*a**2 - a**3 + x*a + 8/5. -(a - 1)*(a + 2)**3/5 Suppose 4 = -5*s + 7*s. Suppose 4*v = -s*i - 3*i + 2, 5*i - 5 = -5*v. Solve -3*x - 2 + 7*x**2 + 0*x**2 - x**2 + v*x**3 - 4 = 0 for x. -2, -1, 1 Let n be (-4)/((-20)/(-15))*3/(-90). Let h(y) be the third derivative of -4*y**2 - n*y**4 + 3/10*y**3 + 0 + 1/100*y**5 + 0*y. Let h(z) = 0. Calculate z. 1, 3 Let l(p) be the third derivative of p**5/20 - 9*p**4/8 - 15*p**2. Find d, given that l(d) = 0. 0, 9 Solve -45/8 + 1/8*d**3 - 47/8*d**2 + 91/8*d = 0. 1, 45 Suppose 0*x + x - 2 = 0. Suppose 4*f + f = -4*f. Factor -1/5*j**x + 1/5*j**3 + 0*j + f. j**2*(j - 1)/5 Factor 40*o**3 + 172*o**4 + 25*o**2 - 84*o**4 - 73*o**4. 5*o**2*(o + 1)*(3*o + 5) Factor -2/5*y**2 - 96/5*y + 98/5. -2*(y - 1)*(y + 49)/5 Suppose -m + t = 2, 5*m + 15 = -5*t + 5. Let n = 7/3 + m. Factor 1/3*w + 0 + n*w**2. w*(w + 1)/3 Let h(n) = 11*n**4 + 17*n**3 + 8*n**2 - 2*n + 2. Let f(x) = 15*x - 129*x**2 + 31*x - 177*x**4 - 33 - 13*x - 273*x**3. Let y(m) = -2*f(m) - 33*h(m). Factor y(o). -3*o**2*(o + 1)*(3*o + 2) Solve -2/9*t**3 + 0*t**2 + 0*t + 0 - 2/9*t**4 = 0. -1, 0 Let n(d) be the third derivative of -d**6/600 + d**5/150 - d**4/120 + 288*d**2. Factor n(q). -q*(q - 1)**2/5 Let o be -5 - -5 - -6*1. Let u(t) be the second derivative of 1/10*t**2 - 2/75*t**o - 11/100*t**5 - 1/30*t**3 - 3/20*t**4 + 0 + 3*t. Factor u(k). -(k + 1)**3*(4*k - 1)/5 Let c(d) be the third derivative of -d**6/120 - d**5/60 - d**4/24 - 9*d**2. Let l(m) = 20*m**3 + 22*m**2 + 22*m. Let x(i) = 44*c(i) + 2*l(i). Factor x(s). -4*s**3 Let y be (638/(-22))/(-87)*(-3)/(-2). Factor -1/2*l - y + 1/2*l**3 + 1/2*l**2. (l - 1)*(l + 1)**2/2 Let f(t) be the first derivative of -t**9/5040 - t**8/1400 + t**6/300 + t**5/200 - t**3/3 - 7. Let i(n) be the third derivative of f(n). Factor i(o). -3*o*(o - 1)*(o + 1)**3/5 Let o = 135 + -133. Let z be o/(-1) + 52*(-3)/(-42). Factor -3/7*i**3 - 12/7*i + 0 + z*i**2. -3*i*(i - 2)**2/7 What is r in -40*r**3 + 10 - 155/3*r + 245/3*r**2 = 0? 3/8, 2/3, 1 Suppose 15*l = 16*l - 6. Let u be (-3)/l + (-82)/(-4). Factor -u*m**2 + 5*m**3 + 3*m + 17*m - 5*m. 5*m*(m - 3)*(m - 1) Factor 70/3 - 25/3*z - 5/3*z**2. -5*(z - 2)*(z + 7)/3 Let c be (6/(-60))/(8/(-110)). Let l(s) be the second derivative of 2*s + 1/12*s**4 + c*s**6 - 3/5*s**5 + 0 + 0*s**2 - 121/168*s**7 + 0*s**3. Factor l(y). -y**2*(y - 1)*(11*y - 2)**2/4 Let c = -27 - -29. Solve 48*l**c - 64*l**3 + 1 + 88*l**3 - 1 + 3*l**4 = 0. -4, 0 Find z such that -50/7*z**2 + 0*z + 8/7 = 0. -2/5, 2/5 Let b(m) = m**3 - m**2 - m + 1. Let f(n) = 7*n**3 - 2*n**2 - 3*n + 4. Let q(x) = 4*b(x) - f(x). Let p be q(-1). Solve 2*c**p + 0 - 1/2*c**3 - 2*c = 0. 0, 2 Let k(c) be the first derivative of -1 - 3/5*c**5 + 0*c**2 + c**3 + 0*c + 0*c**4. Factor k(i). -3*i**2*(i - 1)*(i + 1) Let r(z) be the second derivative of z**5/12 + 7*z**4/24 + z**3/3 + 31*z**2/2 - 31*z. Let n(c) be the first derivative of r(c). Solve n(w) = 0 for w. -1, -2/5 Suppose -5*w + 2*g = -9*w - 192, w = -4*g - 41. Let h be 4/14 + (-84)/w. Suppose -h*c**3 - 4*c**2 + 0*c**3 + 2*c**2 = 0. What is c? -1, 0 Let x(v) = -2*v**2 + 37*v - 200. Let j(m) = -m. Suppose 0 = 34*g - 36*g - 2. Let q(r) = g*x(r) + 3*j(r). Solve q(y) = 0. 10 Solve -11/2*t**3 - 5/2*t**2 + 0 + 0*t - 7/2*t**4 - 1/2*t**5 = 0 for t. -5, -1, 0 Let p = -9757 - -9757. Find w, given that -1/4*w**3 + 1/4*w**2 + p*w + 0 = 0. 0, 1 Let v(j) be the second derivative of j**8/8960 - j**7/1008 + j**6/720 + j**5/60 + 3*j**4/2 + 27*j. Let r(u) be the third derivative of v(u). Factor r(s). (s - 2)**2*(3*s + 2)/4 Determine x, given that 35/2*x - 37/2*x**2 + 1 = 0. -2/37, 1 Let o be (35/(-4))/(36/(-192)). Let n = o - 46. Factor -y**5 - 3*y**2 - n*y - 11/3*y**4 - 5*y**3 + 0. -y*(y + 1)**3*(3*y + 2)/3 Determine h, given that 95 + 25 - 2425*h + 2540*h - 5*h**2 = 0. -1, 24 Let u = 6/65 + 2452/195. Let a = -12 + u. Determine d,
{ "pile_set_name": "DM Mathematics" }
(h) be the first derivative of f(h). Is b(5) prime? False Let f(h) = 6*h**2 - 6*h + 17. Let a(l) = l**2 + l + 1. Let w(b) = -5*a(b) + f(b). Let y be w(9). Is 2/y + 696/9 a prime number? False Suppose 5*n - 156 = 2*n. Suppose 4*q - n - 16 = -4*t, 0 = -4*q - t + 59. Is q composite? True Let y = 4083 + -2810. Is y prime? False Suppose 2*n - 382 = -0*n. Is n prime? True Let p = 92 + 31. Is p composite? True Suppose 3*m - 19 + 7 = 0. Suppose 3*x + m*u - 751 = 0, -5*x + 0*x = u - 1263. Is x prime? False Suppose -w - 51 = 2*w. Let b = w - -39. Is b prime? False Let j be (-22)/(-33) + 14/(-3). Let l(q) = -54*q - 5. Is l(j) a composite number? False Let x = 12 - 7. Suppose -4*d - 57 = -x*d. Is d a composite number? True Let x = 27 + 14. Suppose 0 = -5*o - 3*h + x, 0 = 5*h - 3*h - 4. Is o composite? False Is ((-532)/((-4)/(-1)))/(-1) composite? True Let n = 83 - -168. Is n a composite number? False Let n(a) = a**3 + 9*a**2 - a - 1. Let j be n(-9). Let o(i) = 5*i - 3. Is o(j) prime? True Let o(g) = -g**3 + 2. Is o(-5) prime? True Let g be 4/6*(-90)/(-20). Is (-93)/(-2)*2/g composite? False Suppose 0 = 2*y + 7 - 21. Let s be (6/y)/(1/(-7)). Is s/(-8) + 962/8 prime? False Let o(d) = 10*d**2 - d - 1. Is o(-6) a prime number? False Suppose -8*t = -11*t + 861. Is t composite? True Let a = 1 + 36. Is a a composite number? False Suppose -4*a = -9*a + 40. Suppose -3*q = a + 1, 3*q - 90 = -3*s. Is s prime? False Let c(a) = -a + 13. Let u be c(11). Suppose 199 = j + 2*x, 3*j = -3*x + u*x + 577. Is j a prime number? True Let m(q) = -q**3 - q**2 - q + 89. Let n(i) = -i - 4. Let x be n(-4). Is m(x) a composite number? False Suppose 4*r = 2*l + 6 + 2, -5*l = -4*r + 8. Suppose l = -d + 14 - 6. Is ((-22)/d)/((-2)/8) a prime number? True Let k(j) = -46*j**3 - 3*j**2 - j. Suppose 2*v - 5*v = 6. Is k(v) a prime number? False Let z = -366 + 917. Is z a composite number? True Let l(m) = m. Let g be l(3). Suppose 41 = g*z - 124. Is z prime? False Suppose 0 = 2*p + 4, -5*f - 2*p = -3*p - 102. Let t = f - -107. Is t composite? False Let k = 5 + -6. Let j(y) = 58*y**2 - y. Is j(k) a prime number? True Is (6 - 5)*97998/6 prime? True Let h(x) = x**2 - 3*x + 1. Let n(v) = 2*v**2 - 3*v + 2. Let i(b) = -4*h(b) + 3*n(b). Let m be i(-2). Suppose -j = -m*j + 42. Is j prime? False Let j = -52 - -251. Is j prime? True Suppose 2*r - 2*g - 8 = -20, -3*r - 10 = -g. Let m(k) = -10*k**3 + k**2 + 2*k + 3. Is m(r) a composite number? False Suppose 6*w = 3*w + 807. Suppose -63 = 2*z - w. Is z a prime number? True Let x be 2/(-7) - 156/(-7). Let j be 4/x - (-3296)/22. Suppose 81 = 3*o - j. Is o a prime number? False Suppose i + i - 4 = 0. Let v(s) = 27*s**3 - 2*s**2 + 3. Is v(i) a prime number? True Let w(x) be the third derivative of 175*x**4/24 - 11*x**3/6 - 7*x**2. Is w(4) a composite number? True Let v be 2 + (0 - 0) + -1. Let c = -4 + 9. Suppose c = w - v. Is w a composite number? True Let s(h) = h**3 + 13*h**2 + 9*h - 22. Is s(-9) a prime number? False Let z be 1/((-1)/(-2)*-1). Let v be 8/z + -2 + 1. Is (v - -4)/((-1)/127) prime? True Suppose -4*f + 415 = -509. Suppose -6*n = -3*n - f. Is n a prime number? False Is (2/6)/((-8)/(-129864)) prime? False Let b(q) = 4*q + 2*q**3 - q**3 - 4 - 4*q**2 + 2*q**3. Is b(3) a composite number? False Let w(u) = -88*u + 1. Suppose 2*p + 24 = 4. Let v be 34/p - 4/(-10). Is w(v) composite? True Let h(q) = 13*q**2 - q + 1. Let k be h(1). Let b = k - -1. Let r = b + 11. Is r a prime number? False Suppose -f + 5*w + 516 = 0, 4*f + 2*w = 1706 + 468. Is f composite? False Let y = 28 - 52. Suppose -5*o = -2*o - 3*q - 240, -2*o + 167 = 5*q. Let v = y + o. Is v a prime number? False Let p = 619 - 128. Is p prime? True Let a(k) = 3*k + 6. Let q be a(-4). Let w(g) = -g**3 - 2*g**2 - 8*g - 5. Is w(q) composite? True Let y be ((-21)/(-6))/(1/4). Suppose 4*w - b - 11 = 0, 2*w - y = -2*w - 2*b. Is (93/9*w)/1 prime? True Let j be 3/(-6)*0 - -231. Suppose -h = -f + 3*f - 426, f + 5*h = j. Is f prime? True Let o be (-735)/(-9) + (-4)/(-12). Suppose -o = -3*t + 2*h, -3 + 1 = h. Is t a composite number? True Let d be 0 + 1 + -2 + 2. Is 111*(-1)/(-3)*d prime? True Let a(m) = 14*m**3. Suppose 2*k - k - 7 = -5*w, -5*k = 3*w - 13. Is a(w) a composite number? True Suppose 0 = -3*f - 3*q + 9618, -2*f - q = -2849 - 3560. Is f prime? True Let u(s) = 3*s**3 + s**2 - 3*s + 3. Is u(4) prime? True Suppose -2*r - 2*l = -74, -232 = -5*r + 4*l - 29. Is r a prime number? False Suppose 3*m - 221 = -5*q, 3*m - 2*m + 5*q = 67. Let n = 7 - 4. Suppose -i + 5*p + 22 = -10, n*p = -2*i + m. Is i a prime number? True Suppose -p = 3*p. Suppose h + 3*u + 29 = p, -2*u - 106 = h + 4*h. Let g = -9 - h. Is g a prime number? True Let o(c) = c. Let u(w) = -6*w + 13. Let j(m) = -o(m) - u(m). Let v(q) = 1. Let r(l) = -j(l) - 6*v(l). Is r(-6) a composite number? False Suppose 0 = 3*z + 2*z. Suppose -r + 21 - 6 = z. Is r composite? True Let a(r) be the third derivative of -r**4/3 - r**3/6 - r**2. Suppose -4*p = 2*w - 6, -w - 1 = -6*w - 3*p. Is a(w) composite? False Let o = -2 - 0. Let y be 1 + o/(-4)*4. Suppose 0 = 4*a - y*f - 65 + 14, 5*a - 63 = 4*f. Is a prime? False Is (2 + 0)/(44/17314) prime? True Let w = 155 + 56. Is w a composite number? False Let j = -3741 + 5992. Is j composite? False Let h = 8 - 6. Let y(g) = 1 + 2*g**2 + h*g**2 + 5*g**2. Is y(-1) a prime number? False Let r(z) = -z + 18. Let k be r(13). Let d(x) = x**2 + x + 1. Let g(w) = 5*w. Let t(n) = 2*d(n) + g(n). Is t(k) prime? False Let x(k) = -k**2 + 6*k - 74. Let c(y) = -y. Let h(j) = -5*c(j) - x(j). Is h(0) a composite number? True Suppose 0 = y - 5*b + 16, -4*y - 41 = -0*b + 3*b. Let s(i) = 30*i**2 + i + 1. Let z be s(-1). Let x = z + y. Is x a prime number? True Let w = -4 - -8. Let x = 4 - w. Suppose x = j - 5*j + 220. Is j a prime number? False Let g(n) = 8*n**2 + 32*n + 13. Is g(-9) a prime number? True Suppose 2*m + 1 = 3*m, x = -m + 4. Let c be 10*(16 - (-9)/x). Let k = c + -105. Is k a composite number? True Let d be (0 + -1 - 2)/((-69)/(-782)). Let q(n) = -28*n + 3. Let m be q(2). Let l = d - m. Is l a composite number? False Let v(o) = 7*o**2 - 6*o + 71. Let s(y) = -20*y**2 + 17*y - 212. Let a(c) = -6*s(c) - 17*v(c). Is a(0) prime? False Let d(b) = b**2 - 3*b - 8. Let i be d(-6). Let j = i - 27. Is j prime? True Let a(u) = -u + 8. Let t be a(-5). Is 2/t - 63393/(-221) a prime number? False Suppose 496 = i - 3*n, 7*i - 2*i + 5*n = 2460. Is i prime? False Let c be ((-4)/10)/((-2)/30). Suppose -3*g = -c*g + 12. Suppose -v = -g*b + 193, -4*b + 242 = b - v. Is b prime? False Let u = 2078 + -1236. Let x = u - 429. Is x a composite number? True Let r = -2 + 7. Suppose j - r*j = -232. Is j composite? True Suppose -3*h + 18 = -4*o - o, -4*h + 24 = o. Suppose 3*g = 2*z, 2*g + z = g - 5. Is (g/h)/(1/(-33)) composite? False Suppose g = y + 2*g - 164, -3*y = -5*g - 484. Is y a composite number? False Suppose -3*x - 5 = -5*w, -7*w = -3*w + 2*x - 26. Suppose -f - 168 = -w*f. Suppose -f = 4*l - 588. Is l a composite number? True Let c(n) = -n + 205. Is c(0) a composite number? True Suppose 0 = 4*p + 4*d - 1508, 0*d = -5*p + 4*d + 1921. Is p a composite number? True Let l = 1008 + -561. Is l a prime number? False Suppose 4*d + d - 3*h = -2570, 2069 = -4*d + 5*h. Let u = -309 - d. Is u a prime number? False Let x = -1024 - -1867. Is x a composite number? True Let m(l) = 836*l**2 - 1. Is m(1) prime? False Suppose 0 = -2*m + m, 3*p + 4*m = 18. Let h be (6/4)/(p/8). Let k = h - -51. Is k composite? False Suppose 2*w - 3*w = 0. Let i = 0 + w. Suppose -j - 5*g + 14 = i, -4*j + 61 - 5 = 3*g. Is j a prime number? False Suppose i - 22 = 31. Suppose 6*a = 5*a + i. Is a prime? True Let s = -559 + 1853. Suppose -294 - s = -4*r. Is r a composite number? False Suppose 13*q - 1121 = 5860. Is q prime? False Let g(n) = 13*n - 21. Is g(14) a composite number? True Suppose 3*b = i + 1513, 0 = -0*b + 5*b + i - 2511. Is b composite? False Suppose 3*b - 67 = 59. Suppose 0 = -g - 11 + b. Is g a composite number? False Let z(i) = 80*i**3 - 3*i**2 + 2*i. Is z(1) composite? False Let z = 79 + -14. Suppose 5*q = -3*m - 12, 6*q - 12 = 2*q + 3*m. Suppose -5*f + q*f = -z. Is f composite? False Let f(b) = b - 1. Let o be f(5). Let q be 543 + (4 - 3 - o). Suppose -5*x + 10 =
{ "pile_set_name": "DM Mathematics" }
the highest common factor of 1705935 and 4445. 35 What is the greatest common divisor of 11232 and 1628432? 208 What is the highest common divisor of 735 and 145503393? 147 Calculate the highest common factor of 12080784 and 25674. 2334 What is the greatest common factor of 16907 and 17055665? 583 Calculate the highest common divisor of 4 and 821158. 2 Calculate the highest common divisor of 353607 and 63444. 933 What is the highest common factor of 169179735 and 164? 41 Calculate the greatest common factor of 1526288 and 256. 16 Calculate the greatest common factor of 2713056 and 1886112. 5664 What is the greatest common factor of 19346661 and 11? 1 Calculate the highest common divisor of 23 and 331389428. 23 Calculate the greatest common factor of 160 and 765581280. 160 What is the highest common divisor of 5210124 and 182542? 1706 Calculate the highest common factor of 3830 and 2971314. 766 Calculate the highest common divisor of 134 and 1583067826. 134 What is the greatest common factor of 1460456 and 184? 8 What is the greatest common divisor of 38069479 and 63? 7 What is the highest common divisor of 5265 and 12269205? 1755 What is the greatest common factor of 120988235 and 170? 85 Calculate the greatest common factor of 10780 and 408093070. 5390 Calculate the greatest common divisor of 13035 and 536063. 11 What is the greatest common divisor of 10105 and 17795? 5 Calculate the highest common divisor of 9729 and 469959345. 9729 Calculate the highest common factor of 3 and 716122137. 3 Calculate the greatest common factor of 65 and 730105415. 65 Calculate the greatest common factor of 10261375 and 4. 1 What is the greatest common divisor of 88210 and 446? 2 Calculate the greatest common divisor of 26001 and 1700337. 321 Calculate the greatest common factor of 1972 and 706121. 29 Calculate the highest common factor of 218063625 and 123. 123 Calculate the highest common divisor of 2343 and 332057. 11 Calculate the greatest common divisor of 540432 and 6504624. 3888 What is the highest common factor of 369219 and 1725? 69 Calculate the highest common factor of 218 and 1124771. 109 Calculate the highest common divisor of 23490 and 94061007. 2349 What is the highest common divisor of 470658 and 51739? 1669 What is the greatest common factor of 233507644 and 38? 38 Calculate the highest common divisor of 63661 and 499577. 1079 Calculate the greatest common divisor of 496440 and 1110. 30 Calculate the highest common divisor of 285180 and 17700. 60 Calculate the highest common factor of 950 and 100446350. 950 What is the greatest common divisor of 496478 and 383528? 502 Calculate the highest common factor of 222756 and 6076940. 3908 Calculate the greatest common factor of 923610 and 2040. 510 What is the greatest common factor of 4129878 and 306? 102 Calculate the highest common divisor of 28303248 and 27094. 1426 Calculate the greatest common factor of 329174258 and 1990. 398 Calculate the highest common divisor of 171658284 and 196. 28 Calculate the greatest common divisor of 12 and 8361504. 12 What is the highest common factor of 818554 and 2523? 29 Calculate the highest common divisor of 291048 and 15408168. 4344 What is the highest common divisor of 148285149 and 795? 159 What is the highest common divisor of 7031545 and 56653? 313 What is the highest common factor of 348 and 6910874? 58 Calculate the highest common factor of 6470780 and 30. 10 Calculate the greatest common divisor of 384 and 85476. 12 Calculate the highest common divisor of 76804 and 12238422. 2954 What is the greatest common factor of 51468610 and 40? 10 What is the highest common divisor of 40 and 11329610? 10 What is the highest common factor of 668241 and 252? 63 Calculate the greatest common factor of 72523471 and 8180. 409 Calculate the highest common factor of 368 and 2086976. 16 What is the greatest common divisor of 694 and 720590957? 347 Calculate the greatest common divisor of 16507772 and 4292. 148 What is the highest common divisor of 1200 and 1834575? 75 Calculate the highest common factor of 357705 and 11529. 9 Calculate the greatest common factor of 190119515 and 485. 485 Calculate the highest common divisor of 101357594 and 65. 13 Calculate the highest common divisor of 310636984 and 56. 56 What is the highest common factor of 98140104 and 9288? 3096 Calculate the highest common divisor of 5190 and 260760. 30 Calculate the greatest common factor of 44 and 28471762. 22 What is the greatest common divisor of 7730 and 63662734? 1546 Calculate the highest common divisor of 14021880 and 12. 12 Calculate the highest common factor of 310751 and 7327. 431 What is the highest common divisor of 37 and 275809211? 37 Calculate the greatest common divisor of 40947 and 177. 3 Calculate the highest common divisor of 45 and 105538365. 45 What is the highest common divisor of 1023052212 and 273? 273 What is the highest common factor of 194061358 and 170? 34 Calculate the greatest common divisor of 2430 and 260710. 10 What is the greatest common factor of 72 and 71845616? 8 Calculate the greatest common factor of 8554754 and 65. 13 What is the greatest common divisor of 39187 and 41273? 149 Calculate the highest common divisor of 30797 and 182965. 23 What is the highest common factor of 4200 and 23005710? 210 Calculate the highest common divisor of 24631453 and 6545. 1309 What is the highest common divisor of 5998634 and 1498? 214 What is the greatest common divisor of 5408906 and 2378? 58 Calculate the highest common factor of 144 and 200954880. 144 Calculate the highest common divisor of 1852596 and 108. 36 Calculate the greatest common factor of 3855681 and 1514417. 1763 What is the greatest common divisor of 432393 and 12441? 39 Calculate the greatest common divisor of 237 and 47169. 3 What is the highest common divisor of 216 and 1528584? 24 Calculate the greatest common factor of 254935 and 65325. 335 Calculate the highest common divisor of 75594253 and 3633. 1211 What is the highest common divisor of 208250 and 14688000? 4250 What is the greatest common divisor of 2944 and 3529304? 184 Calculate the greatest common divisor of 1312296 and 66. 6 Calculate the greatest common factor of 1785 and 97427085. 1785 What is the greatest common factor of 16 and 236725696? 16 Calculate the greatest common factor of 6942 and 693933. 267 Calculate the greatest common factor of 14 and 319544883. 7 What is the highest common divisor of 28307346 and 7449? 573 What is the highest common divisor of 283376 and 1455088? 3184 What is the highest common factor of 2414194452 and 36? 36 Calculate the highest common divisor of 1628 and 492174. 74 What is the greatest common factor of 52681 and 453279? 139 Calculate the highest common divisor of 190138572 and 7704. 3852 Calculate the highest common factor of 114399 and 23769. 171 What is the greatest common divisor of 38 and 135579953? 19 What is the highest common divisor of 204728 and 2833536? 1256 Calculate the highest common divisor of 3296303822 and 2149. 2149 What is the greatest common divisor of 164973 and 97282? 127 Calculate the highest common divisor of 36899112 and 12. 12 Calculate the highest common factor of 40740363 and 18. 9 Calculate the greatest common factor of 740 and 14125490. 370 Calculate the highest common factor of 180 and 290806515. 45 Calculate the greatest common factor of 36 and 989721. 9 Calculate the highest common factor of 2964311 and 39347. 511 Calculate the highest common factor of 18283852 and 4068. 452 Calculate the highest common divisor of 45 and 1858711845. 15 Calculate the greatest common factor of 90327320 and 40. 40 What is the greatest common divisor of 1175250 and 219750? 750 What is the highest common divisor of 468351 and 585? 117 What is the highest common divisor of 32 and 101355824? 16 Calculate the highest common divisor of 28016040 and 102. 6 What is the greatest common factor of 2461374 and 6156? 1026 What is the highest common factor of 73320 and 530280? 120 What is the greatest common factor of 729722484 and 1530? 306 What is the greatest common divisor of 405 and 900619020? 135 What is the greatest common factor of 311711181 and 6? 3 What is the highest common factor of 53958 and 35
{ "pile_set_name": "DM Mathematics" }
losest to -4? (a) -3 (b) 6.04 (c) 2/21 (d) 0.3 a What is the closest to -23 in 4, 5, -3/7, 11/5? -3/7 What is the closest to 489 in 37, 0.5, 15, 0, 4/3? 37 What is the closest to -15 in 3/2, -16, -0.1? -16 Which is the nearest to 0.1? (a) 4/9 (b) 3 (c) -3 a What is the closest to -1 in -0.7, 60, 2/7, 9? -0.7 Which is the closest to 5.7? (a) 5/3 (b) 64 (c) -3 a Which is the nearest to 1? (a) -4 (b) -0.4 (c) 2/97 (d) 3 c What is the nearest to -4/9 in 37, -13, -2/7? -2/7 What is the closest to 1/3 in -2/11, -19, 5, 1402? -2/11 Which is the nearest to -1/3? (a) -5 (b) -16/7 (c) 19 (d) 2/9 d Which is the closest to -2/9? (a) 5 (b) 3.9 (c) 7 b What is the nearest to 8.3 in -0.3, 262, -4? -0.3 What is the nearest to -10/859 in -2/7, -0.1, 4? -0.1 Which is the closest to 0.3? (a) -41 (b) -2 (c) 8 b What is the closest to 1 in 0, -43, -3? 0 What is the nearest to 1/9 in 0.5, 4, 0, -25, -1/3? 0 What is the closest to 2.9 in 2.5, -4, -7, -0.3? 2.5 What is the closest to -16 in -2/11, 0.17, -5, 0.03, -2/3? -5 What is the closest to 2/7 in 6/23, 240, 4? 6/23 What is the closest to 5 in -2/39, 3/11, -47? 3/11 Which is the closest to -2/3? (a) 187/3 (b) 1/3 (c) -1/6 (d) 19 (e) 1 c What is the nearest to -1 in 142, 12, 1? 1 Which is the nearest to 0.1? (a) 11 (b) -35 (c) -25 a Which is the closest to -2? (a) 0.3 (b) 0.5 (c) 0.09 (d) -1.6 (e) -215/4 d Which is the nearest to -4/7? (a) 5 (b) 1/2 (c) 1724 b Which is the nearest to 11? (a) 2/9 (b) -2/7 (c) 1 (d) 1/6 (e) -0.5 c What is the nearest to -0.1 in -85, -3, -6/7, -8, 5/2? -6/7 Which is the closest to 0.2? (a) 396/37 (b) 2 (c) 3 (d) 2/7 d Which is the closest to -2? (a) -6 (b) 152 (c) 5/4 c Which is the closest to 1? (a) 0.2662 (b) 4 (c) 0 (d) -1 (e) 3/2 e Which is the closest to -1? (a) -1 (b) -4 (c) 2/7 (d) -363 (e) 0 a What is the nearest to 1/5 in -34, 122, -0.2? -0.2 What is the nearest to 0.2 in 1/26, -0.2, -0.1, -4/7? 1/26 What is the closest to -2 in 0.01, -9, 30/11, -1/4? -1/4 What is the closest to 0.1 in -4, 8, -193, 2? 2 Which is the closest to -48? (a) 0.2 (b) 0.3 (c) -3 c What is the nearest to -1/2 in 4, -0.1, -291/10, 2/3, 0? -0.1 Which is the closest to -1? (a) -1 (b) 0.16 (c) 2.76 (d) -4 a Which is the closest to 1/2? (a) -6070 (b) -5 (c) 0.3 (d) 2 c Which is the closest to -0.7? (a) -0.2 (b) -251/5 (c) 2 a Which is the closest to 2/3? (a) -36 (b) -1/4 (c) 9/10 (d) -5 (e) -4 c Which is the nearest to 1? (a) 44/27 (b) 1 (c) 0.3 (d) 12 b Which is the nearest to 763? (a) 1/6 (b) 2/495 (c) -1/3 a What is the closest to -313 in -5, 0.5, -0.2, 0.85? -5 What is the closest to 0.14 in -0.0188, 0.1, -0.1? 0.1 Which is the nearest to -1/2? (a) -0.05 (b) -272 (c) 0.09 (d) 0.4 a What is the closest to 5 in -2.7, 3, 0.329? 3 Which is the nearest to -2? (a) 7 (b) -2/7 (c) 58 (d) 1/3 (e) 0.1 b What is the closest to -0.1 in 4, -0.5, 0.5, 31/5? -0.5 What is the nearest to 0.1 in -20, 0.048, -77, -1/10? 0.048 What is the closest to 2 in 2/3, -233, 4? 2/3 Which is the closest to -36? (a) -1/23 (b) -3.1 (c) -0.15 b What is the closest to 4 in 1.2, 48, 0.1, -1/7? 1.2 What is the nearest to 9 in -49, -0.1, 3? 3 What is the closest to 2 in -62, -7/13, -1/4, -2/13? -2/13 Which is the nearest to 0.2? (a) 0.07 (b) 3/2 (c) -3/4 (d) -4/9 (e) 553 a Which is the nearest to -0.56? (a) 1/16 (b) 5/4 (c) -5 a What is the nearest to 0 in -0.069, -4, 0, 0.4, 0.3? 0 Which is the nearest to -0.1? (a) 0.61 (b) 1 (c) 0.06 (d) -6/11 c What is the closest to -2 in 1/3, 0.001, 10/3? 0.001 Which is the nearest to -656? (a) 1/4 (b) 0.4 (c) 87 (d) -0.1 d Which is the nearest to -0.1? (a) -0.02 (b) 0.3 (c) 20 (d) 2/5 (e) -0.1 e What is the nearest to -11.9 in -1/3, -707/5, -0.5? -0.5 What is the nearest to 1 in -0.5, 1/3, -218? 1/3 What is the nearest to 815 in -1/5, -6, 3/7? 3/7 Which is the nearest to 0? (a) 1.5 (b) -23.1 (c) 5 a What is the closest to -0.2 in -12, 0.3, 12, 0.1, -1/504? -1/504 Which is the closest to 2/11? (a) 0.0576 (b) -1/7 (c) -2/7 a Which is the closest to 3? (a) -3 (b) 6/17 (c) 0.3 (d) 18 (e) 3 e Which is the closest to -2.7? (a) -5 (b) -4 (c) 4 (d) -10 b What is the closest to -55 in -15, 0.01, 2, -0.5? -15 Which is the nearest to -2/9? (a) -11 (b) 18 (c) -2 (d) 2 c What is the closest to -2/7 in -96, -1/5, 77? -1/5 What is the closest to -2 in -0.5, -321, -9? -0.5 What is the closest to -0.05 in -2/11, 3/4, -0.3, 7, 0? 0 Which is the closest to -15? (a) -4 (b) -1379 (c) -5/3 a What is the nearest to 0.2 in 1/3, -1, 0.6, -0.192, -2? 1/3 Which is the closest to -0.8? (a) -0.1 (b) 0.1 (c) 2/359 (d) 1 a Which is the closest to -2.4? (a) 1 (b) -3 (c) 2/9 (d) 0.05 (e) 5 b What is the nearest to -1 in 0.1, -1/2, 129, 0.42? -1/2 Which is the nearest to -6? (a) 16 (b) 39 (c) -0.5 c What is the nearest to -1 in -5, 7, -381, -11/7? -11/7 What is the nearest to 0.1 in -0.44, -31, 10? -0.44 Which is the nearest to -14/103? (a) -2 (b) 0.2 (c) 2/3 b Which is the nearest to 2? (a) -690.6 (b) 13 (c) 2 c What is the nearest to 8/35 in -98, 1/4, 5? 1/4 What is the nearest to -1 in -3, -2, 0.125262, -1/7? -1/7 Which is the closest to -2/17? (a) 3 (b) -1 (c) 0.3 (d) -0.5 (e) -330 d What is the nearest to 12 in -3, -5, 2, 0, 3/8? 2 What is the nearest to -93/5 in -0.5, 1, 6.71? -0.5 Which is the nearest to -1? (a) 3 (b) -0.00659 (c) -3 (d) 0.1 (e) -4 b Which is the closest to -3? (a) 0.1 (b) 5 (c) -110 (d) -0.4 (e) 10 d Which is the closest to 1? (a) -14 (b) 4 (c) 0.5 (d) -4/3 c Which is the closest to 6? (a) -0.1 (b) 0.01 (c) 118 (d) 0.06 (e) -0.2 d What is the closest to 2/7 in -0.2, 0.484, 161? 0.484 What is the nearest to -0.3 in -0.3, 1, -21, 3, 0.3? -0.3 Which is the nearest to 2217? (a) -0.051 (b) 2/7 (c) -2/11 b What is the closest to -4 in 0.4, -35, 2/11, -20, -3? -3 What is the closest to -1 in 0, 2/9, -2/3, -1? -1 What is the nearest to -3 in 1, -351, 0.025? 0.025 Which is the closest to 1/28? (a) -2/11 (b) -15/2 (c) 42 a Which is the closest to 30? (a) 3 (b) -220 (c) -1/8 (d) 2 a Which is the closest to 0.1? (a) 11 (b) -0.3 (c) -1.17 (d) -0.01 (e) 9 d What is the nearest to 2 in 0.5, 255/4, 2/5, 4? 0.5 What is the nearest to -0.003 in 34, 2, -15? 2 What is the closest to 3 in -0.4, 1/9, 2333, 2/7? 2/7 Which is the nearest to -4/15? (a) -2/23 (b) -2 (c) -103 (d) -3 a Which is the closest to -3? (a) 5 (b) 1 (c) 987 b What is the closest to -0.12 in -83, 9, -0.3? -0.3 What is the closest to -1/4 in -2/11, 244, -20? -2/11 Which is the closest to 0? (a) -0.07 (b) -4/3 (c) 1 (d) -3/2 a What is the nearest to -0.2 in -3, -3380/3, -1/4? -1/4 What is the nearest to -0.03 in 6, -2/425, -0.7, 1? -2/425 Which is the closest to -5/59? (a) -47 (b) 3 (c) 2/17 c What is the closest to -0.1 in 4, 6662/45, -2/3? -2/3 Which is the closest to 5/2? (a) -5 (b) -4 (c) -1/6 (d) -0.8 c Which is the nearest to 0.1? (a) 16 (b) -7 (c) 33 b What is the nearest to 1 in 3/16, 241.1, 0.3, -0.2? 0.3 Which is the nearest to 1/4? (a) -128 (b) -0.8 (c) 0 (d) -5 c Which is the closest to -0.1? (a) 1 (b) 7 (c) 0 (d) 891/4 c Which is the closest to 0.3? (a) 3 (b) 2 (c) 1.9 (d) 6/11 (e) 19 d What is the nearest to -1 in -2/11, 105, 1418? -2/11 What is the nearest to -2.61 in -1, -24.7, 4? -1 Which is the nearest to 12.2? (a) -4 (b) -13/2 (c) 0.3 (d) -2 c Which is the nearest to -10? (a) -3 (b) -2 (c) 3 (d) -8 d Which is the nearest to -24? (a) -1/5 (b) -15 (c) 1/8 (d) -0.4 b Which is the nearest to 0.2? (a) -907 (b) 10 (c) 3 (d) -2/3 d Which is the closest to -2? (a) 0.2 (b) 2/5 (c) 1 (d) -70 a Which is the closest to 1? (a) 1/2 (b) 45 (c) -2/97 (d) 58 a What is the nearest to -1 in 12, 6, -0.2, 23, -3/4? -3/4 Which is the nearest to -0.1? (a) 1 (b) -0.4 (c) 2 (d) 31 (e) 0.13 e Which is the closest to 4/43? (a) -12 (b) 1 (c) 10 (d) -0.3 (e) -3 d What is the nearest to -3 in 1/6, -2, 234, 4, 0? -2 What is the closest to 2/3 in -0.2, 62, -16? -0.2 Which is the nearest to 0.2? (a) 73 (b) -0.076 (c) 0.9 b What is the closest to -521 in 18, 0, 0.8, 5? 0 What is the nearest to 1/2 in 1/278,
{ "pile_set_name": "DM Mathematics" }
a**2*n**2 + 2318*a**2 + a*h*n**2 wrt h? 4936*a**2 + a*n**2 Find the third derivative of -95*n**2*v**3 - 80*n**2*v**2 + n + v**4 wrt v. -570*n**2 + 24*v Differentiate -161*h - 239 with respect to h. -161 Find the third derivative of 60*d**6*j**2 + d**6 + 3*d**2*j**2 + 27*d*j**2 - 7*d*j wrt d. 7200*d**3*j**2 + 120*d**3 Find the third derivative of 1825*c**5*h**2 + c**4*h + 148*c**2*h**2 - 4*c**2*h + h**2 wrt c. 109500*c**2*h**2 + 24*c*h What is the second derivative of -105*k**2*u**2 + k**2 - k*u**2 + 5*k*u + 2*k wrt k? -210*u**2 + 2 Find the first derivative of 9*k**3*q - 7295*k**3 + 6*k**2*q - 13*q wrt q. 9*k**3 + 6*k**2 - 13 Find the first derivative of -2*g*y**3 + 32*g*y**2 - g + 171 wrt y. -6*g*y**2 + 64*g*y What is the third derivative of -1724*y**4 + y**3 + 2533*y**2 wrt y? -41376*y + 6 Differentiate -38*l**2*w**2 + 6717*l**2 - 71*l*w**2 - w**2 with respect to w. -76*l**2*w - 142*l*w - 2*w Differentiate 7278*k*x - 6438*k with respect to x. 7278*k Find the first derivative of 3*n**4 - 233*n**2*x**2 - 3*x**2 + 174 wrt n. 12*n**3 - 466*n*x**2 Find the second derivative of -2*a**4 - 49*a**3 - 4*a**2 + 2173*a. -24*a**2 - 294*a - 8 What is the first derivative of 421*p**2 + 174 wrt p? 842*p Find the third derivative of 3*k**3*n**3*u + k**3 + 3*k**2*n**3 + 4*k*u + 10*n**3*u + 38*n**2 wrt n. 18*k**3*u + 18*k**2 + 60*u What is the derivative of -3638*k + 59? -3638 Find the third derivative of 11*x**4 + 2*x**3 + 29*x**2 + 3 wrt x. 264*x + 12 Find the second derivative of -388*o**2 + 94*o. -776 Find the third derivative of -3467*r**3 - 4*r**2 + 338*r. -20802 Differentiate -c*i*o*v + c*o*v - 23*i**2*o - 6*i*o + 2*i*v - 1390*o wrt i. -c*o*v - 46*i*o - 6*o + 2*v Find the third derivative of 181*i**5*m - 2*i**4*m**2 - i**2*m**2 + 8*i*m + 3*m**2 wrt i. 10860*i**2*m - 48*i*m**2 Find the second derivative of 2*o**5 - 5520*o**3 - 2*o**2 + 16*o - 8. 40*o**3 - 33120*o - 4 What is the third derivative of -56*g**5 - g**4 + 4*g**3 - 4118*g**2 wrt g? -3360*g**2 - 24*g + 24 What is the first derivative of 1623*c**2*x**2 - 3*c**2 + 5*x**3 + x - 5428 wrt x? 3246*c**2*x + 15*x**2 + 1 What is the third derivative of 9*g**6 - 3*g**3 - 431*g**2? 1080*g**3 - 18 What is the derivative of -a**2*v - 169*a*v - 1327*v wrt a? -2*a*v - 169*v What is the third derivative of p**6 - 43*p**4 + 68*p**2 wrt p? 120*p**3 - 1032*p What is the second derivative of -o**4*p - 4*o**3 + 14*o**2*p**3 + 2*o + 6*p**3 + 2*p**2 wrt o? -12*o**2*p - 24*o + 28*p**3 Find the second derivative of -d**3*h**3 + 2*d**3*p - 1119*d**2*h**3 + d*h**3*p - 3*d*h**2*p - 46*d*p wrt d. -6*d*h**3 + 12*d*p - 2238*h**3 Find the second derivative of -479*a**2 - 164*a. -958 Find the second derivative of -4090*n**2 - 18886*n. -8180 Find the second derivative of -120*x**5 + 117*x + 1. -2400*x**3 Differentiate -11481*p**3 + 6163. -34443*p**2 What is the second derivative of 108*g**3*v**3 + 90*g**3 - 7*g**2*v - v**5 wrt v? 648*g**3*v - 20*v**3 What is the first derivative of -2*q**4 + 176*q**3 - 122? -8*q**3 + 528*q**2 Find the third derivative of 12938*y**5 + y**2 + 4*y - 376. 776280*y**2 Find the third derivative of -2022*k**3*n**3*r**3 + 20*k**3*n**2*r**3 - 4*k**3*r**3 + 4*k*n**3 - k*n**2*r wrt n. -12132*k**3*r**3 + 24*k What is the first derivative of f**4 + f**2 - 114*f + 8674 wrt f? 4*f**3 + 2*f - 114 What is the second derivative of -902*k**5 + k - 34? -18040*k**3 Find the first derivative of -2*f**3*w + 1949*f**3 - 34*f**2*w - 3*f**2 + 42*f*w wrt w. -2*f**3 - 34*f**2 + 42*f What is the second derivative of -6*z**4 - 38*z**2 - 739*z wrt z? -72*z**2 - 76 Find the third derivative of 6*u*y**6 - u*y**4 + 7*u*y**3 - 12*u*y**2 - 3*u*y - 5*y**2 wrt y. 720*u*y**3 - 24*u*y + 42*u Find the second derivative of 75*i**3*r + 15*i**3 + 10*i*r + 2*i - 306*r wrt i. 450*i*r + 90*i Differentiate 2*q**2 - 309*q - 178 wrt q. 4*q - 309 Find the second derivative of 23*k**5 - 4*k**3 - 2*k - 25 wrt k. 460*k**3 - 24*k What is the second derivative of 2*h**3*u**2 - 142*h**3*u + 2*h**2*u**2 - 37*h*u - 31*u**2 wrt h? 12*h*u**2 - 852*h*u + 4*u**2 Find the third derivative of -591*j**5 + 4*j**3 - 2*j**2 + 98*j - 15. -35460*j**2 + 24 Differentiate 6*r**2*t**2 - 5646*r**2 + 3*t**3 - 4*t with respect to t. 12*r**2*t + 9*t**2 - 4 Find the second derivative of -25*d**3*f*l**2 + 24*d**3*l**2 - 2*d**3*l + 436*d**2*f - 2*d*l wrt l. -50*d**3*f + 48*d**3 Find the second derivative of -144*j**2*k**2 + 3*j**2 - j - 4*k**2 + 15*k wrt k. -288*j**2 - 8 Find the first derivative of -86*q + 471 wrt q. -86 Find the first derivative of a*w**3*x + a*w*x*z + 67*w**3*x*z + 36*w wrt z. a*w*x + 67*w**3*x Find the first derivative of -b**3*n*r - 9*b**3*r - b*n*r - 5*b*n - 35*b*r - 243*n*r wrt n. -b**3*r - b*r - 5*b - 243*r What is the derivative of -25*g*j**3 + g*j**2*t + g*j**2 - 131*j**3*t**2 + 307*j - 27*t**2 wrt t? g*j**2 - 262*j**3*t - 54*t What is the third derivative of 285*l**6 + 65*l**2 + 3*l? 34200*l**3 Find the third derivative of -4505*t**6 - t**5 - t**4 + 2*t**2 - 1553*t. -540600*t**3 - 60*t**2 - 24*t Find the third derivative of 68*c**4 + 7*c**2. 1632*c What is the derivative of -3*f**3*i - 3*f*i + 4*i + 31 wrt f? -9*f**2*i - 3*i Find the third derivative of -4433*c**5 + 113*c**2 - 1 wrt c. -265980*c**2 Differentiate -92*g*m**2*r - g*m**2 + 7*g*r + 4233*m**2 wrt r. -92*g*m**2 + 7*g What is the first derivative of -148*j**3 - 6*j**2 + 1629? -444*j**2 - 12*j What is the third derivative of -39*a**2*r**3 - 63*a**2*r - a*r**2 wrt r? -234*a**2 What is the third derivative of 24*b**4*d*z + 2*b**3*d*z - 10*b**3*z - 169*b**2*d*z - b*d*z - 4*b*d wrt b? 576*b*d*z + 12*d*z - 60*z What is the second derivative of -50*f**2*p**2 + f**2*p - 2*f*p**2 - 609*p wrt p? -100*f**2 - 4*f Find the first derivative of 229*v**4 - 9. 916*v**3 What is the second derivative of s*x**2 + 23*s*x - 27*x**2 - 5*x wrt x? 2*s - 54 Find the second derivative of 7561*f**4*n + 8595*f*n - n wrt f. 90732*f**2*n Find the second derivative of -32*z**3 + 2*z**2 - 2101*z. -192*z + 4 What is the third derivative of -5*r*t**3*v**2 + 2*r*t**2 - 3*t**3*v**2 + 6*t**3*v - 8*t*v**2 wrt t? -30*r*v**2 - 18*v**2 + 36*v Differentiate -3*l**3 - 81*l**2 - 259. -9*l**2 - 162*l What is the third derivative of -539*s**3*v**2 - 19*s**2*v**2 - 14*s**2 wrt s? -3234*v**2 What is the second derivative of -950*s**4 - 12*s + 5 wrt s? -11400*s**2 Find the third derivative of -3*c**3*x*z**3 + 29*c**3*x*z + 7*c**3*z**3 + 5*c**3*z**2 - 4*x*z**3 + 5*x*z**2 wrt z. -18*c**3*x + 42*c**3 - 24*x What is the derivative of n*o**3 + 65*n*o - 56*n - 2 wrt o? 3*n*o**2 + 65*n What is the third derivative of 75*s**4 + s**3 - 3*s**2 - s + 258 wrt s? 1800*s + 6 What is the third derivative of -3*i**3*w**6 + i**3*w + 1507*i**3 + 2*i*w**2 + 300*w**6 wrt w? -360*i**3*w**3 + 36000*w**3 What is the second derivative of -235*b**5 + b**2*w + 2*b*w - 4*b + 3*w wrt b? -4700*b**3 + 2*w What is the third derivative of 127*j**2*s**5 - j**2*s**3 - j**2*s**2 + 78*j*s wrt s? 7620*j**2*s**2 - 6*j**2 What is the first derivative of 180*i*j**3 - 2*i*j**2*t**2 + j**3*t**2 - 2*j*t**2 - 7*j wrt i? 180*j**3 - 2*j**2*t**2 What is the derivative of -w**3 - 1695*w - 24971? -3*w**2 - 1695 Find the third derivative of -56*t**5 + 10*t**4 + 2*t**3 - t**2 + 6*t + 81. -3360*t**2 + 240*t + 12 Differentiate -h*j**3*q - 2*h*j - h*q - 69*h - 19*j*q - 2*q with respect to j. -3*h*j**2*q - 2*h - 19*q Differentiate 117*h**3*i**2 - 2490*h**3 wrt i. 234*h**3*i Find the third derivative of -5*k**6 - 2*k**4 - 174*k**2 wrt k. -600*k**3 - 48*k Differentiate 96*j**3 - j**2*l - 4*j*l**3 - 13*l**3 + 116 wrt j. 288*j**2 - 2*j*l - 4*l**3 Find the second derivative of 14*d**2*i**2 - 2*d**2*i + 16*d*i + 6*i**2 - 5*i wrt i. 28*d**2 + 12 What is the first derivative of -106*i**4*w + 2*i**2*w**3 - 3*w**3 - 118 wrt i? -424*i**3*w + 4*i*w**3 Find the first derivative of -42*n*u**3 + 6*n*u*y - u**3*y + 20*u**3 + 7*u*y wrt n. -42*u**3 + 6*u*y What is the third derivative of 99*w**6 - 2*w**4 - 3*w**2? 11880*w**3 - 48*w What is the second derivative of -4765*t**5 + 2*t**4 - 3*t**3 - 16*t + 555 wrt t? -95300*t**3 + 24*t**2 - 18*t Find the third derivative of 359*d**3*q**3 - d**2*q**2 - 574*q**3 wrt d. 2154*q**3 What is the third derivative of -153*l**5 + 39*l**2 wrt l? -9180*l**2 Find the seco
{ "pile_set_name": "DM Mathematics" }
1, 0 Factor 2*q**3 - 8328*q**2 - 150390*q - 677484. 2*(q - 4182)*(q + 9)**2 Let -y**3 - 29523*y**2 - 217975671*y - 1089140405 = 0. Calculate y. -14759, -5 Suppose 2*x**3/3 - 38*x**2/3 - 226*x/3 + 322 = 0. Calculate x. -7, 3, 23 Let 2*z**4 + 380*z**3 + 17826*z**2 + 66808*z + 65320 = 0. What is z? -115, -71, -2 Suppose -6612*a**5 - 7184*a**4 - 580*a**3 - 8*a**2 = 0. Calculate a. -1, -2/29, -1/57, 0 Determine p, given that 3*p**4 - 173877*p**3 + 347745*p**2 - 173871*p = 0. 0, 1, 57957 Find b, given that b**5/3 - 29*b**4/3 + 206*b**3/3 - 544*b**2/3 + 160*b = 0. 0, 2, 3, 4, 20 Find o, given that 729*o**5/5 + 5346*o**4/5 - 45009*o**3/5 + 104986*o**2/5 - 101724*o/5 + 35672/5 = 0. -13, 1, 14/9 Find f, given that -2*f**4/21 - 4*f**3/7 + 10*f**2/7 - 16*f/21 = 0. -8, 0, 1 Factor -8*n**4/17 + 59014*n**3/17 - 145105590*n**2/17 + 118914028546*n/17 + 29737577158/17. -2*(n - 2459)**3*(4*n + 1)/17 Factor i**3 + 61536*i**2 + 946608285*i - 1893462722. (i - 2)*(i + 30769)**2 Find u such that -359*u**2/3 - 111050*u + 1856/3 = 0. -928, 2/359 Suppose 2*x**5/7 + 320*x**4/7 + 9248*x**3/7 + 63044*x**2/7 + 99614*x/7 + 6500 = 0. Calculate x. -125, -26, -7, -1 Determine u so that 279075*u**3/4 + 139080*u**2 - 3657*u/4 + 3/2 = 0. -2, 1/305 Find v, given that 22*v**4/3 + 328*v**3 - 774*v**2 + 1316*v/3 = 0. -47, 0, 1, 14/11 Let -27*j**3/2 + 1629*j**2/2 - 25365*j/2 + 23763/2 = 0. What is j? 1, 89/3 Determine z so that -3*z**2 - 9114*z - 18216 = 0. -3036, -2 What is n in 4*n**5/5 - 456*n**4/5 + 19184*n**3/5 - 345824*n**2/5 + 399360*n + 5537792/5 = 0? -2, 26, 32 Solve 75*j**5 + 108960*j**4 + 39464787*j**3 - 79802454*j**2 - 157860348*j + 317466456 = 0 for j. -3637/5, -2, 2 Solve 112*m**5 - 74*m**4 - 1332*m**3 - 904*m**2 + 1040*m - 192 = 0. -2, 2/7, 3/8, 4 Find g, given that 4*g**2/7 - 11684*g/7 - 11688/7 = 0. -1, 2922 Factor 3*r**3 + 1149*r**2 + 135873*r + 5111559. 3*(r + 93)**2*(r + 197) Find p, given that -1256*p**2 - 590316*p + 1880 = 0. -470, 1/314 Determine o, given that -2*o**5 - 392*o**4 - 5936*o**3 - 32064*o**2 - 69408*o - 51840 = 0. -180, -6, -2 Let -3*h**4 - 129*h**3 + 14940*h**2 - 346800*h + 2472000 = 0. Calculate h. -103, 20 Solve 3*r**5/2 - 30*r**4 - 2457*r**3/8 - 6321*r**2/8 - 1029*r/2 = 0. -7/2, -1, 0, 28 Determine g, given that -2*g**3/17 + 692*g**2/17 + 1390*g/17 + 696/17 = 0. -1, 348 Suppose -2*k**3/3 + 23506*k**2 - 94016*k + 282040/3 = 0. Calculate k. 2, 35255 Factor -3*s**3/7 - 1089*s**2/7 - 17955*s - 4683975/7. -3*(s + 95)**2*(s + 173)/7 Factor m**4/4 + 7*m**3/4 - 145*m**2/4 + 425*m/4. m*(m - 5)**2*(m + 17)/4 Factor 2*c**2 - 2518*c + 20016. 2*(c - 1251)*(c - 8) Factor -2*g**4/3 + 2*g**2 + 4*g/3. -2*g*(g - 2)*(g + 1)**2/3 Factor c**2/7 + 614498*c/7 + 94401948001/7. (c + 307249)**2/7 Let -5*f**4 - 570*f**3 - 12605*f**2 + 41880*f - 28700 = 0. What is f? -82, -35, 1, 2 Factor 5*l**3/6 + 19885*l**2/6 + 198475*l/6 + 495875/6. 5*(l + 5)**2*(l + 3967)/6 Find l such that l**2/4 - 88263*l/4 = 0. 0, 88263 Factor -q**4 + 3398*q**3 + 353532*q**2 + 12098696*q + 137564000. -(q - 3500)*(q + 34)**3 Find m such that -m**4/7 + 43*m**3/7 + 178*m**2 + 896*m = 0. -14, -7, 0, 64 Factor u**3 - 384*u**2 + 25028*u + 51600. (u - 300)*(u - 86)*(u + 2) Factor -36*s**2 - 192*s + 68. -4*(3*s - 1)*(3*s + 17) Solve -3*y**4/5 - 573*y**3/5 - 4464*y**2 + 257280*y + 15052800 = 0 for y. -80, 49 Solve -57*b**5 - 81911*b**4 + 489948*b**3 - 969264*b**2 + 623392*b + 23088 = 0 for b. -1443, -2/57, 2 Factor 1636*o**2 - 32708*o - 240. 4*(o - 20)*(409*o + 3) Solve -4*f**4 + 1816*f**3 - 17668*f**2 - 40800*f - 21312 = 0 for f. -1, 12, 444 Factor 25*c**4 - 335*c**3 + 456*c**2 + 8372*c - 27040. (c - 8)*(c + 5)*(5*c - 26)**2 Suppose 3*y**4/5 - 96*y**3 + 177*y**2 + 1980*y + 8532/5 = 0. What is y? -3, -1, 6, 158 Factor -3*x**3 - 285*x**2 - 6768*x. -3*x*(x + 47)*(x + 48) Factor -2*b**3 - 4548*b**2 - 218050*b. -2*b*(b + 49)*(b + 2225) Factor 2*j**3/3 - 44*j**2/3 - 208*j/3. 2*j*(j - 26)*(j + 4)/3 Factor -4*b**2 - 272*b + 8832. -4*(b - 24)*(b + 92) Factor c**4 + 78812*c**3 + 1552754022*c**2 - 3105744484*c + 1552911649. (c - 1)**2*(c + 39407)**2 Suppose -2*g**2/9 - 22*g - 520 = 0. What is g? -60, -39 Let 4*l**4/3 - 392*l**3/3 + 11024*l**2/3 - 79672*l/3 - 116380 = 0. Calculate l. -3, 23, 55 Find x, given that -3*x**3/5 + 111*x**2/5 + 519*x - 2703/5 = 0. -17, 1, 53 Suppose -3*i**5/2 - 73518*i**4 - 294045*i**3 + 147042*i**2 + 1764261*i/2 - 661608 = 0. Calculate i. -49008, -3, 1 Factor -b**5 + 50*b**4 - 189*b**3 + 232*b**2 - 92*b. -b*(b - 46)*(b - 2)*(b - 1)**2 Suppose -11*w**2 + 75*w + 1566 = 0. What is w? -9, 174/11 Factor 5*b**3 - 11545*b**2 + 6553320*b + 128715120. 5*(b - 1164)**2*(b + 19) What is a in a**4 + 76*a**3 + 260*a**2 - 1984*a + 2304 = 0? -72, -8, 2 Factor v**3/2 + 47*v**2 + 2735*v/2 + 12121. (v + 17)*(v + 31)*(v + 46)/2 Find r, given that -2*r**4 - 760*r**3 - 72956*r**2 - 143640*r - 71442 = 0. -189, -1 Find r such that 2*r**2/11 - 422380*r/11 + 22300608050/11 = 0. 105595 Suppose r**2 - 64*r - 34320 = 0. Calculate r. -156, 220 Determine f so that 16*f**5 - 310828*f**4 - 3187230*f**3 - 8513326*f**2 - 1555010*f + 971850 = 0. -5, -1/2, 1/4, 19437 Factor 2*g**3/7 + 472*g**2/7 - 12762*g/7 + 75168/7. 2*(g - 16)*(g - 9)*(g + 261)/7 What is a in 8*a**2 - 154252*a + 462684 = 0? 3, 38557/2 What is q in q**4/2 + 495*q**3 - 500*q**2 - 4455*q + 8919/2 = 0? -991, -3, 1, 3 Determine p, given that -2*p**4 + 182*p**3 - 1354*p**2 + 2170*p - 996 = 0. 1, 6, 83 Find m such that -4*m**3 - 98368*m**2 - 196724*m - 98360 = 0. -24590, -1 What is t in -100*t**2 + 30586*t + 4284 = 0? -7/50, 306 Determine l, given that -4*l**4/3 + 92*l**3 - 5620*l**2/3 + 9796*l - 38440/3 = 0. 2, 5, 31 Let 48*i**4 - 51624*i**3 + 1819443*i**2 + 919404*i + 115329 = 0. What is i? -1/4, 37, 1039 Solve -2*c**3/13 - 122102*c**2/13 + 122104*c/13 = 0. -61052, 0, 1 Suppose -2*p**5 + 340*p**4 - 9588*p**3 + 73112*p**2 + 257894*p - 3611868 = 0. What is p? -6, 13, 137 Factor 3*y**2/2 + 47703*y. 3*y*(y + 31802)/2 Factor 3*m**3/8 + 57*m**2/4 + 591*m/8 + 60. 3*(m + 1)*(m + 5)*(m + 32)/8 Factor 2*d**2/3 - 296*d/3 - 5166. 2*(d - 189)*(d + 41)/3 Factor 4*s**2/3 - 8132*s/3 - 51984. 4*(s - 2052)*(s + 19)/3 Let 4*n**2 - 27016*n - 54048 = 0. What is n? -2, 6756 Solve 69938*b**2 + 86020*b + 26450 = 0 for b. -115/187 Let h**2/2 + 7685*h/2 + 7683 = 0. Calculate h. -7683, -2 What is b in 2*b**4 - 35120*b**3 + 205475328*b**2 - 399990472704*b - 3213092192256 = 0? -8, 5856 Factor -3*p**4 + 2109*p**3 + 4227*p**2 + 2115*p. -3*p*(p - 705)*(p + 1)**2 Determine f so that 5*f**3/2 + 3145*f**2/2 - 45*f/2 - 28305/2 = 0. -629, -3, 3 Let 2*c**3/11 + 356*c**2/11 + 1856*c/11 - 1453248/11 = 0. What is c? -116, 54 Let 235*s**2 - 73525*s - 9390 = 0. What is s? -6/47, 313 Factor u**2/8 - 3373*u/8 + 3371/4. (u - 3371)*(u - 2)/8 Factor 2*u**4 - 114*u**2 + 392*u - 360. 2*(u - 5)*(u - 2)**2*(u + 9) Let -5*h**5 + 552*h**4/5 - 4069*h**3/5 + 11622*h**2/5 - 11404*h/5 + 168 = 0. Calculate h. 2/25, 2, 3, 7, 10 Factor -z**2/4 - 114425*z/2 - 114424. -(z + 2)*(z + 228848)/4 Factor -3*m**3 + 618*m**2 - 807*m - 207060. -3*(m - 203)*(m - 20)*(m + 17) Determine o, given that 4*o**3 + 8680*o**2 + 51972*o + 77904 = 0. -2164, -3 Suppose 212*z**4/5 - 83532*z**3/5 + 331236*z**2/5 + 81436*z - 1560 = 0. Calculate z. -1, 1/53, 5, 390 Solve -2*y**2/7 - 12002*y/7 = 0. -6001, 0 Suppose 39*g**4 - 567*g**3 - 291*g**2 + 315*g = 0. What is g? -1, 0, 7/13, 15 Factor -4*m**3 + 2220*m**2 + 31924*m - 34140. -4*(m - 569)*(m - 1)*(m + 15) Suppose -w**4/6 + 2*w**3/3 = 0. What is w? 0, 4 Factor -v**2 + 1929*v - 319518. -(v - 1746)*(v - 183) Find j such that j**2/2 + 5015*j/2 + 5013 = 0. -5013, -2 Find x such that 2*x**3/7 - 1628*x**2/7 + 331298*x/7 = 0. 0, 407 Determine i so that -2*i**4/9 - 980*i**3/9 - 17600*i**2 - 907500*i + 4991250 = 0. -165, 5 What is m in -4*m**4 - 796*m**3 + 14080*m**2 + 68800*m = 0? -215, -4, 0, 20 Determine u so that -4*u**2/3 - 838520*u + 2515564/3 = 0. -628891, 1 Let 3*w**5 + 4383*w**4 - 138855*w**3 - 147615*w**2 + 138852*w + 143232 = 0. What is w? -1492, -1, 1, 32 Factor 2*g**5/3 - 6*g**3. 2*g**3*(g - 3)*(g + 3)/3 Determine f so that 2*f**4/3 - 27884*f**3/3 - 55774*f**2/3 - 9296*f = 0. -1, 0, 13944 Find w such that -2*w**4 - 190*w**3 - 3786*w**2 - 27810*w - 69012 = 0. -71, -9, -6 Suppose r**2/4 + 88777
{ "pile_set_name": "DM Mathematics" }
. What is the remainder when 17 is divided by j? 8 Let p = -13 - -5. Let w be -1 - (6 + 1/(-1)). Calculate the remainder when (p/w)/((-4)/(-102)) is divided by 12. 10 Let x(o) = o**3 - 3*o**2 - 4*o + 4. Let w be x(4). Suppose w*j - 2*j - 44 = 0. Calculate the remainder when j is divided by 12. 10 Let k(f) = -2*f + 5. Let d be k(-6). Suppose -3*y + 19 = -d. Suppose h = -3*h + y. Calculate the remainder when 4 is divided by h. 1 Let v = 17 - 8. Let f(s) = 4*s + 5. Let b be f(5). Suppose -b = -x - 4*d, 0 = -3*x - 0*d + 5*d - 10. What is the remainder when v is divided by x? 4 Suppose -p + 1 = -0*p. Suppose -1 = 3*i + 5*r, 2*i + 2*r - 3 = -p. Let c(j) = 8*j + 2. Calculate the remainder when c(i) is divided by 9. 8 Suppose 11 - 1 = 5*j. Suppose -i + 5*u + 2 = -18, 128 = 3*i + j*u. Calculate the remainder when i is divided by 21. 19 Suppose 280 = 5*w - 0*w. Suppose 0 = -4*l - 5*k + 8 + 50, -3*l + 2*k + 32 = 0. What is the remainder when w is divided by l? 8 Let i(z) = z**2 - 6*z - 2. Let o be i(7). Suppose 5*p = -2*x + 55, -3*x = 4*p - o*x - 26. Calculate the remainder when 16 is divided by p. 7 Let a = -38 - -48. What is the remainder when 27 is divided by a? 7 Let z be 28/(-10) - (-7)/(-35). Let l = 2 + z. Calculate the remainder when ((-2)/l - -18) + 1 is divided by 8. 5 Suppose 0 = -5*b + 4*u + 51 + 49, b = -2*u + 6. Suppose -4*i + 12 = 0, x - 4*i + 22 = 55. What is the remainder when x is divided by b? 13 Let n be (9/3 - 2)*-1. What is the remainder when (54/8)/(n/(-4)) is divided by 15? 12 Let q(n) = 1 - 4*n - 5*n + 4*n + 6*n. What is the remainder when q(6) is divided by 4? 3 Let m(f) = -10*f**2 + 1 - 5*f**3 + 3*f + 10*f + 4*f**3 - 5*f. What is the remainder when m(-11) is divided by 12? 10 Let g(q) = q**2 + 9*q - 10. What is the remainder when 32 is divided by g(-11)? 8 Let d be -26 - 1 - (6 - 7). Let j = d + 48. Suppose -4*u + 2*u + 128 = 0. Calculate the remainder when u is divided by j. 20 Let q = 43 + -29. What is the remainder when 69 is divided by q? 13 Let r(s) = s**3 + 12*s**2 + 11*s + 13. What is the remainder when 50 is divided by r(-11)? 11 Let v(d) = 4*d - 1. What is the remainder when 75/11 - 6/(-33) is divided by v(1)? 1 Let w(a) = -a**2 + 5*a - 3. Let f be w(3). Suppose 4*k + 2 = -5*c - f, -4*k = c - 15. Calculate the remainder when k is divided by 3. 2 Let y be (2/4)/(7/84). Suppose -7*k + 52 = -3*k. What is the remainder when y/4 - 355/(-10) is divided by k? 11 What is the remainder when 43 is divided by 11 + (1 - 2 - -5)? 13 Let x(d) = d**3 + 5*d**2 - 4*d. Let p(i) = -2*i + 1. Let j be p(3). Calculate the remainder when x(j) is divided by 11. 9 Calculate the remainder when (-915)/(-10)*-2*2/(-6) is divided by 21. 19 Suppose -7*d = -21 - 98. What is the remainder when 50 is divided by d? 16 Let j be (-2)/(-4) + (-2)/4. Suppose 6*g - g = j. Let t = 7 - g. What is the remainder when t is divided by 3? 1 Let n = 78 - 54. Calculate the remainder when 141 is divided by n. 21 Let g(h) be the third derivative of -1/24*h**4 - 3*h**2 + 1/60*h**5 + 4/3*h**3 + 0 + 0*h. What is the remainder when 14 is divided by g(0)? 6 What is the remainder when 16 is divided by (-2 + 3)*(-2 + 3) - -4? 1 Suppose 4*n - 2*j = 2*n + 172, -3*n + 263 = 2*j. What is the remainder when n is divided by 31? 25 Let s(j) = -j**2 + 20*j - 30. Calculate the remainder when s(12) is divided by 17. 15 Suppose 0 = 2*w + 3*f - 0*f + 7, -5*f = -w + 3. Let k(x) = -2*x**3 - x**2 + 2*x - 1. Calculate the remainder when k(w) is divided by 5. 2 Let z = 245 + -187. Let l be 2*-1*3/2. What is the remainder when z is divided by (20/3)/((-1)/l)? 18 Let o = -5 + 6. Calculate the remainder when -4 + o + 4 - -16 is divided by ((-2)/5)/(1/(-15)). 5 Suppose 0*h = -5*h + 45. What is the remainder when h is divided by -2 - (-14)/2 - 0? 4 Let l be ((-2)/(-4))/(4/16). Suppose -n - 2 = -l*n. Suppose 0*i + n*i = 28. Calculate the remainder when i is divided by 8. 6 Suppose 3*z + 555 = -8*c + 12*c, 3*z = -5*c + 714. What is the remainder when c is divided by 18? 15 Suppose -72 = -0*q - 4*q. Let b(c) = 3*c - 8. What is the remainder when q is divided by b(6)? 8 Let n(i) = i**2 - 2*i + 12. What is the remainder when n(6) is divided by 19? 17 Suppose 3*d = 5*d + 6. Let h(c) = -2*c + 1. Let q(b) = 11*b + 19. What is the remainder when q(0) is divided by h(d)? 5 Let o(n) = -2*n - 1. Let w be o(-5). Suppose 4*v + w = p, -v + 6*v = 4*p - 25. Let t = 52 + -48. What is the remainder when p is divided by t? 1 Let b be 2/11 + (-1644)/(-33). Suppose m + 4*m - b = 0. Calculate the remainder when m is divided by (-15)/(-4) + (-2)/(-8). 2 Suppose 2*m - 6 = 2*d, -2*m - 30 = -4*m - 4*d. Suppose -2*t + 0*t + 10 = 0. Calculate the remainder when m is divided by t. 2 Let w = -50 - -33. Let n = w + 31. Suppose -4*q - n = -q + 5*j, 3*q + j = 2. What is the remainder when 5 is divided by q? 1 Suppose 11*u - 1924 = -2*u. What is the remainder when u is divided by 30? 28 Let n(l) = -l + 11. Let k be n(6). Suppose 9 = 2*q - k. Calculate the remainder when 49/4 - (-19)/(-76) is divided by q. 5 Let i(u) = 5*u + 2. Let h(n) = -2*n. Let k be h(-1). Calculate the remainder when 23 is divided by i(k). 11 Suppose 5*k + 4*t - 403 = -80, 61 = k - t. Calculate the remainder when k is divided by 23. 17 Suppose f = 2*v + 33, f - 8 = 3*v + 25. Calculate the remainder when f is divided by 17. 16 Let l = 71 - 50. Calculate the remainder when l is divided by 6. 3 Let a(g) = 4*g**2. Let r be a(1). Suppose -r = -0*x - 2*x. Suppose 1 - 6 = -u. What is the remainder when u is divided by x? 1 Suppose 12 = -3*f + 7*f, -2*u = 4*f - 54. Let o = u - 8. What is the remainder when 25 is divided by o? 12 Let q = 12 + -7. What is the remainder when 9 is divided by q? 4 Let b = -127 - -169. Let t(s) = -s**3 - 2*s**2 - 5*s - 2. What is the remainder when b is divided by t(-3)? 20 Suppose 0 = -21*n + 25*n - 56. Calculate the remainder when 26 is divided by n. 12 Let m be 4/5*(4 - -51). Suppose -m = -5*g + 56. What is the remainder when 39 is divided by g? 19 Suppose -3*u - o + 34 = 0, -3*u + 4 + 15 = 4*o. Calculate the remainder when 24 is divided by u. 11 Let k be 3/(-12) - (-17)/4. Suppose 3*h = -k*q + 42, 0 = h + h + 5*q - 35. Calculate the remainder when (-7)/63 - (-4)/(-18)*-131 is divided by h. 9 Let w = -334 - -552. Calculate the remainder when w is divided by 44. 42 Let c = 35 + -27. What is the remainder when c is divided by 5? 3 Let i(q) = q**2 + 9. Calculate the remainder when i(-6) is divided by 18. 9 Let t = 33 - -12. Calculate the remainder when t is divided by 12. 9 Let f = 2 - -27. What is the remainder when 84 is divided by f? 26 Suppose 0 = 5*a + 25 - 0. Calculate the remainder when 28 is divided by 30*2/(-1 - a). 13 Suppose 3*q - 4*q + 17 = 0. Suppose -2*x = 3*t - q, -5*x + 49 = 4*t - 4. Calculate the remainder when 36 is divided by x. 10 Suppose -43*u + 34 = -41*u. What is the remainder when 25 is divided by u? 8 Suppose 5*h - 3*h - 34 = 0. Let s = 36 - h. What is the remainder when s is divided by 11? 8 Suppose 3*v + 2 - 14 = 0. Suppose 2*n = -v*g + 7 + 5, 3*n = 2*g + 2. Let k(m) = 4*m. Calculate the remainder when 14 is divided by k(g). 6 Let c(o) = -o**2 + 12*o + 5. Calculate the remainder when c(9) is divided by 12. 8 Let k = 63 + -34. What is the remainder when 57 is divided by k? 28 Let t(z) = -z + 26. Let d(m) = 2*m - 51. Let a(i) = -6*d(i) - 11*t(i). What is the remainder when 15 is divided by a(16)? 3 Let b be 0 + (2 - 2)/2. Suppose -5*t + 2*o + 2*o + 36 = b, 2*t = 4*o + 12. Suppose 2*h - 8 - 38 = 0. Calculate the remainder when h is divided by t. 7 Suppose 8 + 12 = -4*q. Let m(u) = -5*u + 6. Let w(f) = 6*f - 7. Let v(l) = 5*m(l) + 4*w(l). Calculate the remainder when 20 is divided by v(q). 6 What is the remainder when (-620)/(-22) - (-4)/(-22) is divided by 8? 4 Let w(b) = 2*b**2 + 5*b - 3. What is the remainder when w(5) is divided by 19? 15 Let n(c) = -c**3 - c**2 - 3*c - 2. Let t be 10/(-4)*(-8)/(-10). Suppose -81 = -4*h + 7. Calculate the remainder when h is divided by n(t). 6 Let f(m) = 2*m**2. Let h(i) = i**2. Let v(c) = 3*f(c) - 7*h(c). Let p be v(0). Let k = p + 4. What is the remainder when k is divided by 2? 0 Let d = -15 + 11. Let a(l) = -9*l + 4. Let q be a(-2). Let o = q - d. Calculate the remainder
{ "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" }
4164 is divided by 524. 496 What is the remainder when 32222 is divided by 14? 8 What is the remainder when 126439 is divided by 218? 217 What is the remainder when 329621 is divided by 217? 215 Calculate the remainder when 1693 is divided by 343. 321 What is the remainder when 46800 is divided by 2600? 0 Calculate the remainder when 363854 is divided by 74. 70 What is the remainder when 55027 is divided by 10? 7 Calculate the remainder when 141837 is divided by 341. 322 What is the remainder when 8175 is divided by 221? 219 What is the remainder when 2573 is divided by 736? 365 What is the remainder when 4195 is divided by 1265? 400 Calculate the remainder when 11368 is divided by 271. 257 What is the remainder when 16616 is divided by 81? 11 Calculate the remainder when 5853 is divided by 5780. 73 Calculate the remainder when 90681 is divided by 317. 19 What is the remainder when 35621 is divided by 32? 5 What is the remainder when 43923 is divided by 27? 21 Calculate the remainder when 4597390 is divided by 16. 14 Calculate the remainder when 11754 is divided by 249. 51 Calculate the remainder when 7732 is divided by 7555. 177 What is the remainder when 5532 is divided by 48? 12 Calculate the remainder when 4982 is divided by 138. 14 Calculate the remainder when 144888 is divided by 1317. 18 Calculate the remainder when 43842 is divided by 1096. 2 Calculate the remainder when 2083 is divided by 682. 37 What is the remainder when 9656 is divided by 3149? 209 What is the remainder when 5881 is divided by 366? 25 What is the remainder when 191 is divided by 35? 16 What is the remainder when 11419 is divided by 81? 79 Calculate the remainder when 3574 is divided by 1139. 157 What is the remainder when 51774 is divided by 19? 18 What is the remainder when 758258 is divided by 200? 58 Calculate the remainder when 38386 is divided by 234. 10 What is the remainder when 84523 is divided by 120? 43 Calculate the remainder when 38093 is divided by 18877. 339 Calculate the remainder when 2308649 is divided by 150. 149 Calculate the remainder when 250 is divided by 187. 63 What is the remainder when 108521 is divided by 76? 69 Calculate the remainder when 73954 is divided by 6. 4 What is the remainder when 11284 is divided by 5642? 0 Calculate the remainder when 2343 is divided by 107. 96 What is the remainder when 11791 is divided by 1684? 3 Calculate the remainder when 5193979 is divided by 927. 925 What is the remainder when 33921 is divided by 127? 12 What is the remainder when 76828 is divided by 904? 892 Calculate the remainder when 149668 is divided by 30. 28 What is the remainder when 48603 is divided by 48597? 6 What is the remainder when 21083 is divided by 25? 8 What is the remainder when 10728 is divided by 275? 3 Calculate the remainder when 21593 is divided by 10790. 13 What is the remainder when 2789 is divided by 67? 42 Calculate the remainder when 9321 is divided by 97. 9 What is the remainder when 8620 is divided by 2732? 424 Calculate the remainder when 886367 is divided by 19. 17 Calculate the remainder when 28860 is divided by 451. 447 Calculate the remainder when 45359 is divided by 270. 269 What is the remainder when 2589411 is divided by 1074? 1071 Calculate the remainder when 522 is divided by 324. 198 What is the remainder when 3007 is divided by 672? 319 Calculate the remainder when 711400 is divided by 617. 616 Calculate the remainder when 237086 is divided by 35. 31 What is the remainder when 5393 is divided by 32? 17 What is the remainder when 9281 is divided by 772? 17 What is the remainder when 192746 is divided by 150? 146 Calculate the remainder when 113366 is divided by 37. 35 Calculate the remainder when 2184 is divided by 364. 0 What is the remainder when 80137 is divided by 16016? 57 Calculate the remainder when 712 is divided by 228. 28 What is the remainder when 15759 is divided by 15749? 10 What is the remainder when 2182 is divided by 115? 112 What is the remainder when 13447 is divided by 201? 181 Calculate the remainder when 6243 is divided by 196. 167 Calculate the remainder when 24155 is divided by 2424. 2339 Calculate the remainder when 71801 is divided by 482. 465 Calculate the remainder when 60176 is divided by 2. 0 What is the remainder when 10096 is divided by 2523? 4 Calculate the remainder when 1406012 is divided by 861. 860 Calculate the remainder when 3497 is divided by 387. 14 What is the remainder when 3287 is divided by 992? 311 What is the remainder when 37512 is divided by 183? 180 Calculate the remainder when 1106 is divided by 595. 511 What is the remainder when 1708 is divided by 1457? 251 Calculate the remainder when 57346 is divided by 14323. 54 Calculate the remainder when 3271 is divided by 1329. 613 Calculate the remainder when 1660 is divided by 137. 16 Calculate the remainder when 6375 is divided by 467. 304 Calculate the remainder when 5455812 is divided by 11. 10 Calculate the remainder when 82807 is divided by 245. 242 What is the remainder when 206517 is divided by 206488? 29 What is the remainder when 65252 is divided by 240? 212 Calculate the remainder when 23408 is divided by 3340. 28 What is the remainder when 6998 is divided by 121? 101 What is the remainder when 8818 is divided by 952? 250 Calculate the remainder when 29134 is divided by 9. 1 Calculate the remainder when 109363 is divided by 19. 18 Calculate the remainder when 3172 is divided by 168. 148 What is the remainder when 13373 is divided by 479? 440 Calculate the remainder when 2068 is divided by 198. 88 Calculate the remainder when 427172 is divided by 319. 31 Calculate the remainder when 24209 is divided by 4. 1 What is the remainder when 4316 is divided by 394? 376 What is the remainder when 9324 is divided by 306? 144 What is the remainder when 4077 is divided by 74? 7 What is the remainder when 423410 is divided by 958? 932 What is the remainder when 4061 is divided by 93? 62 What is the remainder when 103151 is divided by 11460? 11 What is the remainder when 28027 is divided by 23? 13 What is the remainder when 11684 is divided by 11659? 25 Calculate the remainder when 695 is divided by 238. 219 Calculate the remainder when 11173 is divided by 2778. 61 What is the remainder when 3079131 is divided by 1374? 1371 What is the remainder when 9911 is divided by 53? 0 Calculate the remainder when 5363 is divided by 1733. 164 Calculate the remainder when 3005 is divided by 28. 9 What is the remainder when 43151 is divided by 50? 1 What is the remainder when 46997 is divided by 331? 326 What is the remainder when 1106 is divided by 148? 70 Calculate the remainder when 7391 is divided by 84. 83 What is the remainder when 1589 is divided by 371? 105 Calculate the remainder when 102501 is divided by 102488. 13 Calculate the remainder when 1279704 is divided by 209. 206 What is the remainder when 68014 is divided by 57? 13 What is the remainder when 4621 is divided by 1533? 22 Calculate the remainder when 26246 is divided by 50. 46 What is the remainder when 23681 is divided by 194? 13 What is the remainder when 30620 is divided by 502? 500 Calculate the remainder when 1068849 is divided by 218. 213 What is the remainder when 610348 is divided by 228? 220 Calculate the remainder when 26554 is divided by 831. 793 What is the remainder when 53268 is divided by 141? 111 What is the remainder when 1496 is divided by 577? 342 Calculate the remainder when 31517 is divided by 4476. 185 Calculate the remainder when 409658 is divided by 3939. 2 What is the remainder when 5446 is divided by 364? 350 What is the remainder when 31247 is divided by 9? 8 What is the remainder when 36389 is divided by 683? 190 Calculate the remainder when 19829 is divided by 202. 33 What is the remainder when 12290 is divided by 439? 437 Calculate the remainder when 176658 is divided by 20. 18 What is the remainder when 99177 is divided by 29? 26 What is the remainder when 26582 is divided by 286? 270 What is the remainder when 263337 is divided by 132? 129 What is the remainder when 49641 is divided by 53? 33 Calculate the remainder when 8167 is divided by 3708. 751 What is the remainder when 13208 is divided by 4386? 50 What is the remainder wh
{ "pile_set_name": "DM Mathematics" }
21, -39684168, -52912193, -66140190, -79368153, -92596076, -105823953? -119051778 What comes next: 37909, 38062, 38211, 38356, 38497, 38634, 38767? 38896 What is next in -18478511, -18478498, -18478485, -18478472, -18478459, -18478446? -18478433 What is next in 466171, 465972, 465399, 464266, 462387? 459576 What is the next term in 1251737, 2503477, 3755223, 5006975, 6258733? 7510497 What comes next: -1959871, -1959826, -1959781, -1959736? -1959691 What is the next term in 65116, 129994, 194908, 259876, 324916, 390046, 455284, 520648? 586156 What comes next: -5233, -8770, -10611, -10756, -9205, -5958, -1015? 5624 What is the next term in 2352, 10998, 25394, 45540? 71436 What is the next term in -1600, -371, 3692, 10589, 20320, 32885? 48284 What is next in 49499, 97341, 145183? 193025 What is the next term in 39476, 37237, 31158, 19319, -200, -29319, -69958? -124037 What is next in -26231, -37190, -48149? -59108 What is the next term in -392, -1533, -3452, -6137, -9576? -13757 What is the next term in -10293, -10365, -10499, -10701, -10977? -11333 What comes next: 383728, 384839, 385950, 387061, 388172? 389283 What is the next term in 72224489, 144448959, 216673429? 288897899 What comes next: 5094, 9900, 14434, 18696, 22686, 26404, 29850? 33024 What comes next: 531, 955, 1333, 1641, 1855, 1951, 1905? 1693 What is next in 49284, 98557, 147842, 197139, 246448, 295769? 345102 What is next in -7870865, -15741824, -23612797, -31483790, -39354809, -47225860, -55096949, -62968082? -70839265 What comes next: 16530, 33248, 61108, 100110, 150254? 211540 What is next in 1450324, 1450310, 1450268, 1450186, 1450052? 1449854 What is next in -2576351, -5152716, -7729081, -10305446? -12881811 What comes next: 1775810, 1775795, 1775754, 1775675, 1775546? 1775355 What comes next: -1462, 2104, 11796, 30680, 61822, 108288? 173144 What is next in 279, 434, 987, 2178, 4247, 7434? 11979 What is the next term in -2941362, -5882609, -8823856, -11765103, -14706350? -17647597 What is the next term in -497, -682, -867, -1052, -1237, -1422? -1607 What is the next term in -9490, -18876, -28164, -37360, -46470, -55500, -64456? -73344 What is next in 157, -3337, -12813, -31259, -61663? -107013 What comes next: -58830, -118009, -177188, -236367, -295546? -354725 What is the next term in -907, -1739, -2535, -3277, -3947, -4527? -4999 What comes next: -8196, -27548, -59796, -104934, -162956, -233856? -317628 What is next in 20490505, 40981008, 61471511? 81962014 What is the next term in -18207013, -18207015, -18207017, -18207019, -18207021? -18207023 What is next in -260, -559, -1086, -1841, -2824? -4035 What comes next: 9677, 17659, 25641? 33623 What is next in 1548, 3284, 5134, 7104, 9200, 11428, 13794, 16304? 18964 What is the next term in 25737946, 25737944, 25737942, 25737940, 25737938? 25737936 What comes next: 1285793, 1285781, 1285771, 1285763, 1285757, 1285753? 1285751 What is next in 1533, 2070, 931, -2724, -9735, -20942? -37185 What comes next: -2048, -2072, -2110, -2162, -2228, -2308, -2402? -2510 What is the next term in 2881180, 5762369, 8643558, 11524747, 14405936, 17287125? 20168314 What is the next term in 67531, 127559, 187587, 247615? 307643 What is next in 7948, 15974, 24000, 32026, 40052, 48078? 56104 What is the next term in 1861, 2393, 2925, 3457, 3989, 4521? 5053 What comes next: 623283573, 623283574, 623283575? 623283576 What is next in 19809, 79236, 178279, 316938, 495213, 713104? 970611 What comes next: 32848427, 32848428, 32848429, 32848430, 32848431? 32848432 What is next in -5440, -5856, -6294, -6766, -7284, -7860, -8506? -9234 What is the next term in -2959, -11002, -24161, -42436? -65827 What is next in -2488, -15849, -29210, -42571, -55932? -69293 What is the next term in -7175, -18425, -48961, -108425, -206459? -352705 What comes next: -78, -1120, -3944, -9438, -18490? -31988 What comes next: -322064, -322035, -321998, -321953? -321900 What comes next: 151, -63, -423, -929, -1581, -2379, -3323? -4413 What is next in -17584, -17829, -18082, -18343, -18612, -18889? -19174 What comes next: 1443, 1892, 2205, 2310, 2135, 1608, 657, -790? -2805 What comes next: -5696043, -22784126, -51264245, -91136400, -142400591? -205056818 What is next in -22551, -90288, -203301, -361680, -565515, -814896, -1109913? -1450656 What is the next term in -2977492, -11909978, -26797456, -47639926, -74437388? -107189842 What is next in -119832, -107764, -87650, -59490, -23284, 20968? 73266 What comes next: 2535, 5123, 7757, 10461, 13259? 16175 What is the next term in 2, -192, -962, -2668, -5670? -10328 What comes next: 3206, 6435, 9668, 12905, 16146, 19391? 22640 What comes next: 3268, 9131, 17590, 28645, 42296, 58543, 77386? 98825 What is the next term in -12653230, -12653232, -12653234, -12653236? -12653238 What is the next term in 2009695, 4019403, 6029101, 8038789? 10048467 What comes next: -23371, -47043, -70715, -94387, -118059, -141731? -165403 What is next in 801, 1100, 427, -1698, -5755, -12224, -21585? -34318 What comes next: 1363, 5493, 12369, 21985, 34335? 49413 What is next in 3267, 7065, 10863, 14661, 18459, 22257? 26055 What is the next term in 690, 6233, 21838, 52713, 104066, 181105, 289038, 433073? 618418 What is next in -2516, -14775, -35216, -63845, -100668? -145691 What is the next term in 113275, 110262, 107263, 104284, 101331? 98410 What comes next: 11869599, 23739174, 35608749, 47478324, 59347899, 71217474? 83087049 What is next in 1687213, 3374436, 5061663, 6748894, 8436129? 10123368 What is next in -393855443, -393855442, -393855441? -393855440 What comes next: -4561262, -18245048, -41051354, -72980180, -114031526, -164205392? -223501778 What is next in -501, -2746, -6737, -12468, -19933? -29126 What is next in -21879726, -21879724, -21879722, -21879720? -21879718 What is next in 3601597, 3601568, 3601539? 3601510 What comes next: -21513734, -43027463, -64541190, -86054915, -107568638, -129082359? -150596078 What is the next term in 726, 2950, 6658, 11850? 18526 What is next in -63095, -63415, -63735? -64055 What comes next: 1021441, 1021476, 1021517, 1021564, 1021617, 1021676? 1021741 What is the next term in -223081, -446096, -669069, -892000, -1114889, -1337736? -1560541 What comes next: 1567, 4576, 10455, 20638, 36559, 59652, 91351? 133090 What comes next: -142253, -142079, -141903, -141725, -141545? -141363 What comes next: 711775, 1423546, 2135321, 2847106, 3558907, 4270730, 4982581, 5694466? 6406391 What is the next term in 712932, 712921, 712910, 712899, 712888, 712877? 712866 What is next in -20775, -166570, -562301, -1332936, -2603443, -4498790, -7143945, -10663876? -15183551 What is next in -69290, -276957, -623070, -1107629? -1730634 What is next in 466817, 1867239, 4201275, 7468925, 11670189, 16805067, 22873559? 29875665 What is the next term in 5112, 10226, 15342, 20460? 25580 What comes next: 2319, 10010, 17705, 25404, 33107? 40814 What is the next term in 769, 747, 703, 625, 501? 319 What comes next: -5364, 1577, 13138, 29313, 50096, 75481, 105462, 140033? 179188 What is the next term in -41465, -41434, -41403, -41372, -41341? -41310 What is the next term in -957, -937, -917? -897 What is next in 11227, 89863, 303331, 719065, 1404499, 2427067, 3854203, 5753341? 8191915 What is next in -81569, -80791, -80013, -79235? -78457 What is the next term in 75355, 73519, 71681, 69841? 67999 What is next in 72073, 144099, 216125, 288151, 360177, 432203? 504229 What is the next term in 909, 1726, 2457, 3096, 3637, 4074, 4401, 4612? 4701 What is next in -6258, -28684, -89558, -208104, -403546, -695108, -1102014? -1643488 What is next in -2882, -5751, -8602, -11429, -14226, -16987, -19706, -22377? -24994 What comes next: -6725612, -13451236, -20176858, -26902478, -33628096, -40353712, -47079326? -53804938 What is the next term in 853, 1475, 2371, 3541? 4985 What comes next: 5946177, 11892349, 17838521, 23784693, 29730865, 35677037? 41623209 What is next in 352909, 705855, 1058799, 1411741? 1764681 What is next in 3183, 2377, 1029, -861, -3293? -6267 What is next in 240, 73, -96, -267? -440 What is the next term in 121904, 121920, 121962, 122042, 122172, 122364, 122630? 122982 What is next in 229241488, 229241485, 229241480, 229241473, 2292
{ "pile_set_name": "DM Mathematics" }
r 2/135? k Let a(f) = -2*f**3 + 2*f**2 + 32*f - 13*f - 20*f. Let b be a(2). Which is bigger: -47/5 or b? -47/5 Let h = -160.6 + 19.6. Let o = 143 + h. Which is greater: o or 1/9? o Let d(j) = 4*j**3 + 3*j**2 + 4*j + 1. Let m be d(-1). Let u be 2 + -1 + 1 + 2. Suppose -u = 4*t + 4. Which is smaller: t or m? m Let y be (-6)/(-8) + (-606)/744. Let k(f) = f - 2. Let o be k(1). Which is smaller: y or o? o Let i = -987.9 + -2.1. Is i >= -1/4? False Let h = 1020 - 19378/19. Let r(u) = -u**2 - 4*u - 2. Let w be r(-3). Which is smaller: w or h? h Let a be (-2)/12 - (-3 + 39/18). Which is bigger: a or 2/95? a Let k = 61 + -32. Let a = 25 - k. Let l be (a/5)/(6/15). Is -1 less than l? False Let b be (-1)/((-2)/(-36))*41/(-2). Which is greater: 1475/4 or b? b Let z = -55 + 32. Which is greater: z or 0.2? 0.2 Suppose -4 = 2*k - 2*j, 2*j = 2*k - 4*k + 16. Suppose -h = k*h. Let q = -256 - -1789/7. Which is smaller: h or q? q Suppose d + 6*d + 7 = 0. Let a be (0 - -2)*d/10. Let m = -0.8 - 2.2. Which is smaller: m or a? m Suppose -2*a - 4 = 0, -3*b = -5*a + 79 + 79. Let i = 7618 - 7673. Is i less than or equal to b? False Let k be ((10/25)/(-1))/(2/5). Let j(x) = -x**3 - 6*x**2 + 8*x - 2. Let r be j(-7). Let f(q) = -q**2 - 8*q + 13. Let i be f(r). Is k >= i? False Let h(z) = -31*z - 249. Let y be h(-15). Which is bigger: y or 214? y Let w = 31 - 387. Is w less than -355? True Suppose -4*i - 78 = -4*g - 2*i, 0 = 3*g + 4*i - 86. Suppose -2*j - 7 = -k - 9, 4*k - g = -2*j. Which is greater: 12/7 or j? j Suppose -1120 = -6*t - t. Are 161 and t unequal? True Let d = 0.67 + -0.721. Let k be (10 - 426/42)*7. Is d equal to k? False Let w(u) = u**3 - 34*u**2 - 2*u + 50. Let p be w(34). Is p greater than -31? True Let m(p) = -p**2 - 66*p - 832. Let r be m(-49). Which is smaller: 3/584 or r? 3/584 Suppose 2*g - 3*r = 16, -14 = -g - 2*r + 5*r. Suppose 0 = -3*q - 4*o + 4, -o = q - 0*q - 2. Let v be (-2 + 2)/(g - q). Does -1 = v? False Let a = -13.66 + 13.76. Which is bigger: a or -447? a Let g(n) = -20*n**2 + 4*n + 16. Let k be g(-3). Let z be (-2)/(-5) - k/10. Which is bigger: z or 20? 20 Let r = 21 + -9. Suppose -r = -v + 1. Which is smaller: 14 or v? v Let u(j) = j**2 - 11*j - 13. Let b be u(12). Which is greater: b or -4/1381? -4/1381 Let r = -2/19 + 669/38. Suppose a = 3*g - 54, -7*g + 4*a = -12*g + 90. Which is greater: g or r? g Let t(i) = -i**3 - 4*i**2 + 4*i - 15. Let s be t(-5). Is 3 <= s? False Let y(f) = -33 + 12 - 3*f + 12 + 11. Let r be y(-2). Let m be (-880)/(-192) - (-6)/r. Are m and 4 equal? False Let w be (-2183)/2 + 12/8. Let i be (-4)/24 - w/(-84). Let p = -13 - i. Is 0 > p? False Let a(i) = i**2 + 4*i + 2. Let m be a(-3). Let k be (-2422)/(-12) - m/6. Let t = 3436/17 - k. Are t and -1 unequal? True Let x = 44 + -43.58. Which is smaller: x or 9? x Let s = 313 - 190. Let w = s - 124. Is 13 at least w? True Let q be 1736/24 + (-12)/36. Does 72 = q? True Let h = -0.11 - -0.1. Let u = h - 5.09. Let n = u - -5. Is 7 greater than or equal to n? True Let o be (-12)/(-16) - (-143)/396. Which is smaller: o or 3/5? 3/5 Let h = 2 - 3. Let q(z) = z**3 + 3*z**2 - z + 5. Let a be q(-4). Let w = a + 13/2. Which is smaller: w or h? h Let y = 10/33 + 4/11. Is 1.64 at most as big as y? False Let u = -0.716 - -0.616. Is u < 215? True Let g = -1876 + 1893. Which is bigger: g or 214/13? g Let h = -2069/8 - -250. Do -10 and h have the same value? False Suppose -119*z = -9*z - 87890. Which is bigger: 798 or z? z Suppose 12*j = -2*j. Which is smaller: j or 15/28? j Let m = -261 - -262. Is -6/103 greater than m? False Let i = 265.9 + -266.987. Let w = -0.087 - i. Do 18 and w have different values? True Let m be 2*2 + 228/(-19). Let q be (18/m)/(9/(-24)). Let x be 32/(-1144) - q/(-33). Which is greater: 0 or x? x Suppose -4*x + 4 = -2*x. Let s be x/6 + (-4)/15. Which is smaller: 0 or s? 0 Let s be ((-6)/(-2))/(2895/10). Let i = 372/1351 + s. Which is greater: 3 or i? 3 Let d = 26820894/5 - 295112831/55. Let u = -1509 - d. Which is greater: u or -1? u Let b be 1/6 - 85/(-30). Suppose 4*p - 3 = b*p + 2*o, -2 = o. Let l be (p + -7)*(-2 + 1). Which is smaller: 6 or l? 6 Let k(s) = s + 7. Let x(l) = 1. Let z(i) = -k(i) + 2*x(i). Let q be z(-5). Let p be -1 + q/(0 - -2). Which is bigger: -3 or p? p Let s = 3 + -23. Let a = 21.8 + s. Let z = a - 2.4. Which is bigger: 0 or z? 0 Let t be (-25694)/(-68432) - 13*15/520. Do t and 0 have the same value? False Let n be ((-4)/(-18))/(3/2). Suppose 12 = g + 3*w, -1 = -w + 3. Is n less than g? False Let y = 206.4 - 58.4. Is 0 < y? True Suppose -f + k = f - 6, -f - 2*k = -3. Let z(d) = -d**2 + 19*d + 203. Let m be z(26). Let q be (-12)/63 - f/m. Is q at least as big as 1? False Suppose 2*x - 2475 = 3*y + 319, -3*x + 4204 = 2*y. Let v be 12/10*x/(-21). Let d be (v/(-24))/((-1)/3). Which is bigger: -0.1 or d? -0.1 Let i = 0.8 - 7.2. Is i less than 4/9? True Let h(j) = 5*j - 12. Let m be h(2). Let u = -19 + 32. Let p be 145/u - m/(-13). Which is greater: 10 or p? p Suppose 0 = 8*a - 4*a + 4, 2*w - 4*a - 220 = 0. Is 104 greater than or equal to w? False Suppose 44*d - 42*d - 168 = 0. Which is smaller: d or 82? 82 Let f = 20.6 - 22.1. Which is bigger: -0.1 or f? -0.1 Let n be 4/(-8)*5/10. Which is greater: n or -149? n Suppose 54 = 9*g - 0. Let r be 95/75 + g/(-9). Do 1 and r have different values? True Suppose 0*y - 2*y + 53 = -5*v, 4*y - 5*v - 101 = 0. Suppose 0*u - y = -3*u. Let z be (-175)/(-28) - 2/u. Which is smaller: z or 5? 5 Let l = -7847/10 - -783. Let r = 131/10 + l. Which is smaller: r or 12? r Let w be ((-21)/35)/((726/20)/(-11)). Which is bigger: w or -1? w Let n = -79 - -78. Does -2/287 = n? False Suppose -2*s = 2*u - 12, 2*s + 22 = u + 7*s. Suppose 73 = -u*n - 7. Is -1/3 bigger than n? True Let w be (-2)/(-1) - 1 - -2. Suppose 33 - 49 = -4*r. Suppose -2*z + 6 = r*o, 4*z - w - 6 = -5*o. Which is smaller: -2/23 or z? -2/23 Let s(p) = -p**2 + 3*p + 11. Let y be s(6). Let i be ((-3)/2)/(2/8). Let o = i - y. Is 7 != o? True Let v = 2/69639 + -3831281/39554952. Let x = v + -2/71. Let d = 1 + -2. Is x smaller than d? False Let a = 1954 + -29311/15. Suppose 2*g = 5*d + 22, -3*g + 4*d = -4 - 15. Are a and g equal? False Suppose 3*j + 652 = -68. Let a be 4/(-14) + j/(-56). Let s be (-5)/(15/a)*3. Which is smaller: s or -3? s Let p be 113*20/1135 + -2. Is p at least as big as 1/3? False Suppose -5*c = -2*x + 32, x = c - 2 + 15. Which is smaller: 9 or x? 9 Let l = 9 + 2. Suppose k + 27 - 8 = -4*x, 4*k - 14 = 2*x. Let v = l - k. Is 10 > v? False Let g be -11 - (7 - 18 - (-5 + -1)). Which is smaller: g or -2/51? g Let n be (1 - 15/5) + -193. Which is smaller: -196 or n? -196 Let m(w) = w - 17. Let k be m(8). Let q = -9 - k. Suppose -x + q + 11 = 0. Is x < 12? True Let a = 1661 - 1660. Is 2/671 equal to a? False Let i = 400 + -401. Which is smaller: 3.5 or i? i Let s = -2.3 + -0.5. Let l = 1340/6057 - -2/2019. Is l greater than s? True Suppose r + 0*r = -5*x - 43, -5*r + 4*x = 70. Let j be 10/2*(48/r + 2). Suppose 0 = 2*m + 1 + 5. Which is bigger: m or j? m Suppose 0 = -y - 4 + 6. Suppose 0 = -y*j - 73 - 11. Is -40 < j? False Let s(y) = -y**3 + 8*y**2 - 6*y - 10. Let b be s(7). Let h be ((-12)/b)/4 + 1. Suppose w = h*w. Does w = -2/31? False Let o be ((-81)/1350)/(12/2). Let j = 17 - 16. Which is greater: j or o? j Let g = -93 + 94. Let r be (g/261)/(2/12). Which is bigger: r or 1? 1 Let j(i) = i**2 - 7*i - 97. Let g be j(14). Do 7/176 and g have the same value? False Suppose 5 - 11 = -2*z. Let c be ((-1)/z)/((-26)/78). Which is bigger: -10/21 or c? c Let u = -11 - -11.07. Let x = -0.15 - u. Let s = x - -0.22. Is s > 0? False Suppose -3*l = l. Suppose b - 38 - 38 = 0. Let p be b/(-510) - 2/17. Is p greater than l? False Let a = 199.2 - 182. Let j = 17 - a. Let w = 1.04 - 1. Which is smaller: w or j? j Suppose 48 = 25*a - 29*a. Let x(n) = -n**3 - 13*n**2 - 11*n + 14. Let w be x(a). Which is bigger: w or 0? w Let r = 5016 + -832653/166. Let t = 963/1826 + r. Which is greater: t or 0? t Suppose -27*t + 729 = 621. Let x = 4 + -8. Let m be 6/x*4/(-3). Is t greater than or equal to m? True Let y = -2/259 - -556/4921. Suppose r + 4 = 5*r. Is y smaller than r? True Suppose -3*v - 6*v + 639 = 0. Suppose 65*c - v*c - 6 = 0. Does c = -6/13? False Let c be 1
{ "pile_set_name": "DM Mathematics" }
2*a = -n for f. 1 Suppose t = -t + 10. Suppose a + t*d - 4 = 0, 5*a + d - 1 - 19 = 0. Solve -z = 3*m + a*z + 11, -2*m - 6 = 3*z for m. 3 Suppose 0 = -3*s - 3 - 0. Let d = 3 + s. Solve 1 = -2*b - x, -b - 3*x + 6 = d*b for b. -3 Let g(k) = k**2 - 4*k - 12. Let a be g(6). Solve -h = -n + 2, a = -5*n + 2*h + 10 for n. 2 Let z be 68/18 + (-2)/(-9). Let m = z + 1. Suppose 4*o = -4*b + 4, 0*o + m*b = 2*o - 30. Solve 5*a + 0 = 5, o*a = g + 3 for g. 2 Let y be -2 + -6*(4 + -3). Let q = y - -11. Solve -4*t - 33 = 5*n, -2 = q*t - n - 1 for t. -2 Let i(m) = -m**3 - 9*m**2 - 7*m + 11. Let d be i(-8). Solve d*y - 8*y + 7 = 3*h, 0 = 4*y - h + 8 for y. -1 Let g be -2*2/(-6)*135/5. Solve 4*v = q - g, v - 1 = -2*q - 10 for v. -5 Let s(w) = -2 - 5 + 6 + w. Let x be s(4). Solve 3*q - y = 9, 4*y + x = 3*q - 6 for q. 3 Suppose -21 + 5 = -4*o. Solve 2*g - o*g - 1 = p, -3*p = -4*g - 17 for p. 3 Suppose 0 = -4*b, 0*h + 5*h = 5*b + 30. Let a = h - 2. Suppose 2*c - 10*c = -16. Solve a*r = r, c*r - 9 = -3*f for f. 3 Let l be (-2)/(-11) + (-168)/(-44). Solve -l*s = s - 5*h + 20, 3*h - 4 = -s for s. -2 Suppose 5*w - 30 + 10 = 0, 2*p - 5*w = -22. Let v = p + 3. Solve 2*z = -v*x + 18, 3*z + 2*z - 41 = -4*x for z. 5 Let d(f) = -3*f + 23. Let n be d(-10). Let o = n + -33. Solve 0 = 4*l - 4*m - 4, 2*l - o = 6*l + 2*m for l. -3 Suppose -z + 2 = -2*j - 2, 4*z + 5*j = 3. Suppose -2*v = -z*o + 20, -4*v - 5 + 1 = 2*o. Solve 5*q + h = 9, 3*h + h = q - o for q. 2 Let n(f) = -f**2 + 3*f + 4. Suppose 0 = -5*i - 1 + 21. Let l be n(i). Let x = 11 - 1. Solve u = -3*v - u + x, -3*v + 2*u + 2 = l for v. 2 Suppose -10*k = -12*k - 4. Let l be 32 - (0 + k - 2). Solve 0 = -4*j + 5*b + l, -4*b = 4 + 12 for j. 4 Let s = -8 + 1. Let c(a) = -a + 5. Let r be c(s). Suppose -9*l = -5*l - r. Solve l*b + 2 = -u + 4*b, 8 = 5*u + b for u. 1 Let h(m) = -m**2 + m. Let q be h(-1). Let l = q - -4. Solve -t = t - 2, r = t + l for r. 3 Suppose -2*v + 3 = i + 1, 0 = -v. Suppose -5 + 23 = i*c. Solve 2*d + c = 2*q + q, 0 = -5*d - 15 for q. 1 Suppose k - 4*x = -6, 5*x = 5*k + 2*x - 4. Let w = 4 + -6. Let z = 3 + w. Solve 3*u + k*n - 1 = -8, 0 = u + 2*n + z for u. -3 Suppose -2*o + 0 = -3*v - 2, -5*o + 20 = 0. Suppose 5*l - l = 5*c - 27, 3*c + v*l = 3. Solve -5*w - 4*u + 18 = -3*w, c*w - 17 = -4*u for w. -1 Let r(s) = 4*s**2 - 3*s - 3. Let o be r(-2). Let q = 11 - 7. Solve d - 5*a = -d + o, 0 = -q*a - 12 for d. 2 Suppose -2*f + 5*w - 17 = 0, -w + 6 = 1. Suppose 0 = -3*i + 4*i - f. Solve 0 = 4*g - i*k - 36, -5*g + 2*k - 3*k = -21 for g. 5 Let h be 3/6 - (-51)/6. Let n = h - 7. Solve 0*v + 3*a + n = -2*v, v - 21 = 4*a for v. 5 Let f(c) = -c**3 + 5*c**2 + 5*c + 7. Let d be f(6). Let m be (-3 + d)*9/(-6). Solve 4*q - 4*l - 33 = -5, 13 = q - m*l for q. 4 Suppose v - 6*v = 5. Let q be -1 + v - (-4)/1. Solve q*i + 11 = 3*m, -3*i - 10 = 6*m - 4*m for i. -4 Let m(v) = -3*v**2 + 4*v - 3. Let j be m(3). Let r = j + 34. Solve 5*c = -u - 20, -r = u - 6*u + 4*c for u. 0 Suppose -16*n = -12*n. Solve n = 4*g + 4, 4*g - g - 9 = 3*c for c. -4 Let u = -6 - -9. Let x be 8 - u - 2*1. Suppose -x + 0 = -a. Solve 2*m = 4*f + 8, -8 - 4 = f - a*m for f. 0 Let c(l) = -5*l. Let k be c(-1). Let q(v) = 2*v + 4. Let m be q(6). Suppose -k*t + t = -m. Solve w - 3*w = -t*y - 8, -4*y = 2*w + 24 for w. -4 Suppose -2*v = -6*v + 12. Suppose 2*z - 3*z = -v. Let q(m) = m + 6. Let l be q(-6). Solve -2*k + 17 = -3*x, z*k = -l*k + x + 15 for k. 4 Let a(g) = -g**3 + 4*g**2 + 2*g - 8. Let o be a(4). Solve -2*t - 1 = -5*x - o*x, t - 3 = -x for x. 1 Suppose -s + 0*d - 3*d - 2 = 0, -10 = 5*s + 3*d. Let l be s/(-3 - 14/(-6)). Solve 2*v + 27 = -5*m, 3*v + 0*v = -l for m. -5 Let s(b) = -b**3 - 11*b**2 + 11*b - 14. Let v be s(-12). Let l = 4 + v. Solve -a - 4 = w, -2*w - 12 = l*a + 2*w for a. -2 Let j = -8 + 6. Let w(l) = 2*l**2 + 3*l. Let q be w(j). Solve 5*n + q*z + 1 + 19 = 0, 3*z = 0 for n. -4 Suppose -4*z - 5*b + 3*b = -16, -4*z = -4*b - 4. Solve z*m - 2*w = 3*w - 26, -w = -5*m - 14 for m. -2 Let o = -3 - -6. Suppose -x = -o - 0. Solve -4*w = x*k + 5, k - 3*w = 6*k + 12 for k. -3 Let k = 10 - 10. Solve -3*x + n = 0, 0 = -k*x - 5*x - n for x. 0 Let w(f) = f**3 - 3*f**2 - 6*f + 2. Let y be w(5). Solve 2*o + 22 = 4*u, -u - 5*o - y = -0*u for u. 3 Let u(b) = b**2 - b + 12. Let t be u(0). Let f be (-2)/(-12) + (-2)/t. Solve 5*m + g + 10 = f, -5*g - 24 = 2*m - 3*m for m. -1 Let q be (-2)/6 - 74/(-6). Let d(c) = c**2 + 3*c + 3. Let p be d(-3). Let j = p - -3. Solve 2*w - 2*v = -j, -2*w + 4 - q = -4*v for w. -2 Let j(v) = v**2 - 2*v + 1. Let y be j(2). Let k be (-1 - y) + (1 - -1). Let l = -1 - -5. Solve 2*f - l = -t, -2*t = -k*t + 5*f - 8 for t. 4 Let n = -10 + 2. Let k = -3 - n. Solve -d = d + 3*f + 18, 0 = 5*d - k*f - 5 for d. -3 Let h = -6 + 10. Let p = h - 10. Let w(f) = -f**2 - 8*f - 7. Let l be w(p). Solve 5*d - 7 = 3*z + 22, 5*z + 35 = l*d for z. -3 Let v(r) = r - 18. Let f be v(20). Solve 4*l = f*a + 2, -5*l - 3*a + 13 = -3*l for l. 2 Let w(x) = x**3 - 3*x**2 - 7*x - 10. Let q be w(5). Solve q*t = 3*f + 5 + 9, -3*t + 20 = 4*f for t. 4 Suppose -4 = 4*v - 16. Solve 4*x - 2 = -3*s, 2*x + v = s + x for s. 2 Let f = -8 + 10. Let n = f - -1. Solve -n*i - 18 - 17 = 5*l, -i - 1 = -l for l. -4 Let m(r) = r - 1. Let p be m(4). Let t(c) = -c - 3. Let q be t(-9). Suppose q = -p*s + 5*s. Solve s*y = -4*g + 26, y + g - 11 = -2*y for y. 2 Let q be -2 + (-16)/(-7) + (-162)/(-21). Solve -u - 4*w - 13 = 0, -3*w + 20 = -q*w for u. 3 Let t(j) = -j**3 + 10*j**2 - 8*j + 6. Let s be t(9). Suppose -45 - s = -5*o. Solve -g + 4*g + o = 4*a, -5*g = -5*a + 15 for a. 3 Let i be -1*4/2*-4. Suppose 3*h = 5*h. Suppose 2*t = -h*k - k + i, 5*k - 24 = -2*t. Solve t = 2*o, 4*c + 2*o + 12 = 6*o for c. -2 Let n = 58 - 28. Solve 20 = -5*t + 3*t + 5*h, -4*t - n = -5*h for t. -5 Suppose -2*u + 0*u - 2 = 0. Let y = u - -3. Solve -y*j = -i - 4*i - 9, 4*i - j = -6 for i. -1 Let o be (-256)/12 - (-4)/(-6). Let b be (1/(-2))/(1/o). Solve 2*h - m - 10 = 2, h - b = 3*m for h. 5 Let t(d) = -4*d - 1. Let h be t(6). Let m = -16 - h. Solve 4*c = 2*z + 12, -21 = -3*c - m for z. 2 Let y = 22 + -10. Solve -2*g = 5*f - f + 2, 5*g + 3*f = -y for g. -3 Let n = -12 + 19. Let o(k) = -k**2 + 6*k + 9. Let b be o(n). Solve -3*l = 2*s - 6 + b, 3*l + s = -1 for l. -2 Let r = -5 - -10. Suppose r*p - 8 - 12 = 0. Let l = -8 + 8. Solve 0 = 2*h + p*i + 4, l = -5*h - i + 17 for h. 4 Let t(c) = -c**2 - 11*c + 7. Let w be t(-6). Let q = -12 + w. Suppose -7*o + q = -2*o. Solve 0 = -3*j - z - 1, -o*z = -3*j + 4*j + 19 for j. 1 Suppose -3*y + 2*y = 0. Suppose 2*h - h = y. Solve 5*o + 3*s = 15, -o + h*o = 5*s - 25 for o. 0 Suppose 2 - 42 = -5*x. Suppose -4*z + 28 - x = 0. Solve -2*i - z*r - 18 = 0, -2*r + 11 = 3*i - 4*r for i. 1 Suppose -2*f = 5*k - 76, 4*f = -4*k + 3*k + 26. Solve -4*l = 2*p + k - 4, 3*p = 2*l + 9 for p. 1 Suppose -2*v = 2*v - 36. Solve -4*a - 3*z + v = -6*z, -4*a + z = -3 for a. 0 Let k(a) = 3*a - 1. Let w be k(2). Suppose -4*v - w = -21. Solve 0 = -4*d + 4*l + 5 - 1, -31 = v*d + 3*l for d. -4 Suppose -a + 17*a - 160 = 0. Solve -3*q - 6 = g - 1, -3*g - 4*q - a = 0 for g. -2 Let d be (-12 - -8) + 0 + 4. Solve d = 3*n - 2*b + 7*b - 13, n + 1 = b for n. 1 Let d(p) = -3 - 7*p - 1 + 0*p**3 + 1 - 5*p**2 - p**3. Let v be d(-3). Solve v = -4*r + o + 3*o + 36, o = 5*r - 29 for r. 5 Suppose 5*x - 40 = x. Let v = x - 6. Solve 10 = -2*m + v*f, -3*m + 4*f = -2 + 9 for m. 3 Let b(i) = i - 4. Let p be 4 + -4 - -6*1. Let k be b(p). Solve 4*f = k*n + 2*f - 6, f - 15 = -5*n for n. 3 Let x = 271 + -151. Suppose 0 = 2*q - 10. Suppose q*b + 0*b = x. Solve k + 0*k + b = 4*a, 0 = a - 5 for k. -4 Let k = 2 - -1. Let o be (-3)/9 - k/(-9). Solve -17 = 3*a + 5*z, o = -a - 2*a + 3*z - 9 for a. -4 Let o(z) = 4*z**2 - z + 2. Suppose -4 + 10 = -3*r. Let h be o(r). Let a = h - 13. Solve -4*i - 10 = -m, -3*m + a = -3*i - 2*m for i. -3 Let u be (4/10)/(4/20). Suppose -5*p = y + u*y + 2, 10 = -p - 3*y. Suppose 9 = w + p*w. Solve -3*v - 8 = -5*a, a + w = -5*v - 1 for v. -1 Let v be -14*3/6*4. Let p = -13 - v. Solve 0*l = 3*l - c + p, 0 = -5*c for l. -5 Suppose -7 + 1 = -2*l. Let n(q) = -1 - 3 + 0 + 1 + q**2. Let t be n(l). Solve -2*i - 5 = -2*z + i, -2*i = t for z. -2 Suppose a = 5 - 0. Suppose a*d + 3*l - 12 = 0, 3*d - 4*l + 16 = 6*d. Solve 5*u - c
{ "pile_set_name": "DM Mathematics" }
) = -3 + 19 - 7 - z. Let q be r(6). Suppose 3*u = -u, -2*u = -q*o + 9. Solve -g = -2*g - o for g. -3 Suppose -5*q + 3*h = -q + 6, -3*q - h + 2 = 0. Solve g + 0*g = q for g. 0 Suppose -5*s + 3*s + g = -22, -4*s - 4*g = -44. Let r be -4 + 1 + (-3)/(-1). Solve r = -4*n - 5 - s for n. -4 Let c = -749 - -774. Solve 26*i - 5 = c*i for i. 5 Suppose -219 = -4*b - 4*p + 93, -5*p = -20. Solve -b*u + 4 = -73*u for u. 4 Suppose u - m + 3 = -0*u, -3*u + 2*m = 14. Let y(t) = -2*t**2 - 17*t + 5. Let b be y(-8). Let f = b + u. Solve -f*v = -27 + 2 for v. 5 Let s(k) = 2*k + 23. Let i be s(-10). Suppose -r - 5 = v - i*v, -1 = r. Solve w - v + 5 = 0 for w. -3 Suppose 0 = 3*w + 5*c + 1, 13 = -0*w + w - 5*c. Suppose -3*n = -2*n. Solve n - w = h for h. -3 Suppose -4 = p + 2. Let g(k) = 2*k**2 - 4*k - 3*k - 3*k**2 - 20 + 17. Let s be g(p). Solve -s*x + 4 + 2 = 0 for x. 2 Let v be 2 + 191/4 - (-1)/4. Let c be ((-25)/v)/((-1)/6). Solve -5 = -c*t - 14 for t. -3 Let z(o) = o**3 + 16. Let b be z(0). Suppose -m = 3*m - b. Solve 5*v - 3*v - m = 0 for v. 2 Let x = -102 + 106. Suppose -3*t - x*p = -28, 0*t - 4*t = 5*p - 39. Solve -4*c = -0*c + t for c. -4 Let g(q) = -2*q + 5. Let d be g(-5). Suppose 3*r = -4*w + 21, 13*w - 17*w = -5*r + 3. Suppose 6*a = w*a + d. Solve a*k + 7 = -13 for k. -4 Let n(b) = -b - 1. Let u(l) = 2*l + 2. Let h(o) = 11*n(o) + 6*u(o). Let i be h(2). Solve -2*q + i = -q for q. 3 Let x = 248 - 242. Solve 4*y = x*y for y. 0 Let z(r) = r + 1. Let s be z(3). Suppose -8 = -2*o - 2*o. Let a = 9798 + -9798. Solve a = -o*n + n - s for n. -4 Suppose y - 4*n = 5*y, n = 0. Suppose 5*q + 4 = 3*q. Let w be 3*q/6*2*-1. Solve -w*t + 8 + 0 = y for t. 4 Let v = -112 - -117. Solve v*j + 0*j - 3*j = 0 for j. 0 Let z = -99 - -106. Solve -3*h + z = -2 for h. 3 Let p be (1 + 7 + 0)/2. Let c = -1 - 0. Let i be 1 + (c + 2)*1. Solve p*b - 10 = i*b for b. 5 Let f(k) = 2*k**2 - k - 4. Let p be f(2). Let c be -4 + (2 - 0)*p. Solve c = 3*t + 13 - 1 for t. -4 Suppose -3*i + 2*k - 21 = 0, -4*i = -3*k + 9 + 20. Let t(j) = j**3 + 4*j**2 - j + 4. Let c be t(i). Let s = 16 + c. Solve -q + 2 - 1 = s for q. 1 Let x(u) = -u**2 + 2*u + 24. Let f be x(-4). Solve -5*y + 15 - 5 = f for y. 2 Suppose -2*q - 13*q + 2130 = 0. Solve q*g - 138*g - 4 = 0 for g. 1 Suppose 0 = 3*h - 5*q - 25, -h + 2 + 9 = -3*q. Let g be (-2*1)/(4 + (-3 - 2)). Suppose -r - 10 = -3*r, 4*i = g*r - 10. Solve -c = -i*c + h for c. -5 Let r be (0 - 2/(-9)) + (-74)/333. Solve r = 6*k - k for k. 0 Suppose 2*n = s - 2, -4*s - 2*n + 4*n = -14. Let v be s*(5 - 4) - 2. Let k be v + 6/2 + -2. Solve -15 = 3*c - k for c. -4 Let x = -8 - -14. Let y be (2 + -5)/(x/(-10)). Suppose -y*w + 6 = -3*w. Solve w*z = -z - 4 for z. -1 Suppose 0 = 2*k - 5*t - 20 - 0, 5*k = 3*t + 31. Suppose 3*c - 307 = -3*y - 235, -3*c + 74 = 2*y. Solve -c + 6 = k*d for d. -4 Suppose 0*o - z = -3*o + 3, 5*z - 7 = 4*o. Suppose -8*l + 258 = -2*l. Suppose 2*n + l = 3*g, o*n = 2*g - 12 - 20. Solve g + 1 = 4*c for c. 3 Suppose 3*q - 4*q = -7. Let f(z) be the third derivative of -z**5/60 + 7*z**4/24 + z**3/3 - 26*z**2. Let l be f(q). Solve l*y = 3*y for y. 0 Suppose 3*s - 12 = 0, r - 4*s = s - 18. Let v = 28 + -32. Let l be 4/r - 36/v. Solve -l = 4*g - 3 for g. -2 Suppose 2*h - 20*h = -108. Let l(v) = -8 - v**2 - 1 + 10*v - v. Let u be l(h). Solve -u*r = -4*r - 25 for r. 5 Suppose 26 = 5*k + 31, -2*q - 3*k + 25 = 0. Solve q*z - z = 0 for z. 0 Suppose 16*l = 201 + 295. Suppose -5*m + l = -2*q, 0 = -m + 4*m + 5*q. Solve 6 + 4 = m*d for d. 2 Let t = -14 + 17. Suppose c = t*c + 5*v + 6, 2*v = 4*c - 12. Suppose -c*a + 7*a + 24 = -i, i = 5*a + 26. Solve -2 - i = 3*s for s. -1 Suppose 0 = 5*t + 36*t - 492. Solve 10*x + t = 6*x for x. -3 Let q = -87 + 66. Let r = q + 31. Solve r = 6*n - n for n. 2 Let v(l) = l**3 + 7*l**2 - 8*l + 5. Suppose 0 = j + 9 - 12. Suppose j*w - 9 = -33. Let y be v(w). Solve -3*c = -2*c - y for c. 5 Let p(w) = w**3 + 7*w**2 + 8*w + 12. Let y be p(-5). Solve -m - y = -26 for m. 4 Suppose 0 = -3*s + 2*s - 24. Let n = s - -20. Let t be 4/6 + n/6. Solve t = 3*z + 24 - 9 for z. -5 Let t be 2 + 21/3 + -6. Solve -2*g - t*g = 25 for g. -5 Suppose 55*o + 20 = 60*o. Suppose -o*r = -r - 6. Solve -r = p - 1 for p. -1 Suppose -2114*i = -2125*i. Solve i = 6*k - 5*k - 3 for k. 3 Suppose -156*w - 32 = -158*w. Solve -j + 5*j = w for j. 4 Suppose 0 = -a + 6*a - 90. Suppose a = s + s. Suppose 3*n + 3 = s. Solve -2*q + n + 0 = 0 for q. 1 Suppose 5*h - 6 = 2*h. Let r(k) = -3*k**3 - 7*k**2 - 3*k. Let z be r(-3). Solve 5*p + z = h for p. -5 Suppose -147 + 43 = 2*n. Let t = -37 - n. Solve -t = -f - 4*f for f. 3 Let v = 181 + -176. Solve v = -a + 7 for a. 2 Let v be -2*3*21/7. Let n = v + 23. Let t = -8 + 13. Solve n*p = -0*p + t for p. 1 Let j(t) = t**3 - 6*t**2 + 6*t + 15. Let i be j(4). Solve 5*a + 4 = i*a for a. 2 Suppose -3*n = 2*o + 17, n = 4*n - o + 14. Let t = -1 - n. Suppose g = -t*g + 3*k + 10, 0 = 4*k. Solve 0 = 3*z - g - 4 for z. 2 Let j = 591 - 589. Solve j*n = -5*n + 21 for n. 3 Let u(b) = -b**2 + 5*b - 2. Suppose a + 12 = 5*f - 0*a, -3*f = -2*a - 10. Let p be u(f). Solve 0 = p*t - t - 12 for t. 4 Suppose q + 42 = 3*h + 145, -h - 36 = -2*q. Let a = 37 + h. Solve -3*i - 6 = -a for i. -1 Suppose 38 = -6*o + 8*o. Suppose -2*q + 3*q = -13. Let v = o + q. Solve -b = -v*b + 20 for b. 4 Let q(v) = -3*v**3 + 62*v**2 + 19*v + 47. Let k be q(21). Solve 0 = k*t + 8 - 8 for t. 0 Let c be 38 - 9/(27/6). Let q = -21 + c. Solve 2*h = 5*h - q for h. 5 Suppose -4*f + 20 = 8. Let n be (f/(-12))/(1/(-8)). Solve -n = b + 1 for b. -3 Let s = 5 - 19. Let b be ((-2)/7 + 17/s)*-2. Solve -b + 2 = q for q. -1 Let z be 330/(-14) + (-3)/7. Let l = z - -26. Let c be (-3)/(-3) - (-4)/l. Solve c*n = -2*n + 25 for n. 5 Suppose q = -4*n + 7, 3*n - 4 = 2*q - 4*q. Suppose 9*c = 10*c - n. Solve c*d = 7*d for d. 0 Let a(j) = 16*j**2 + 2*j - 2. Let p = 4 + -3. Let r be a(p). Suppose 0 = -10*g + 6*g + r. Solve g*n + 4 = 2*n for n. -2 Let l(k) = k**3 + 8*k**2 + 7*k + 5. Let t be l(-7). Suppose 0 = -2*p + 3 - t. Let i = p + 2. Solve 0 = 3*c + i + 14 for c. -5 Suppose 2*y + 2 = 2*l - y, 0 = -2*l - 5*y + 18. Let g be 0 + 24 + 0 + 3. Let a = g + -23. Solve -l*w + a = -2*w for w. 2 Suppose 218*b = 231*b. Let o(y) = -y + 4. Let f be o(0). Solve -f*k + b*k = 20 for k. -5 Let z be ((-12)/15)/((-4)/50). Let w be (2/3)/((-6)/18). Let j be (-2)/w - (-8 - -9). Solve -z + j = -2*l for l. 5 Suppose -5*c = m + 9, 6*m + 13 = 4*m - 5*c. Let x be 22/6 - m/(-6). Solve -x*p = -p for p. 0 Suppose -5*d + 5 = 5*b, -7*b + 6*b = -5*d - 25. Solve -2*x - b + 7 = 0 for x. 1 Let y be 11/2 - 11/22. Let w(h) = -h + 1 - h + y. Let f be w(-5). Solve -2*m + f = 2*m for m. 4 Let b be -32 + 47 - (0 - -7). Solve b - 4 = 2*l for l. 2 Let i(c) = -2*c**3 - 3*c**2 + 2. Let d be i(-2). Suppose d*y + y - 14 = 0. Suppose -r - l = -2, 0 = -4*r - 3*l + y + 5. Solve -2 = -f + r for f. 3 Let c(m) = m**3 - 26*m**2 - m + 32. Let k be c(26). Suppose 12 = 7*r - 9. Solve 0*h + k = r*h for h. 2 Suppose -4*k = -h - 19, 12 = -5*h + h. Suppose -k*n = a + 20, 0 = 3*n - a - 2*a. Let s be (-4 - -2)/(n + 3). Solve i - 5 = s*i for i. -5 Suppose 3*q - u + 2*u - 39 = 0, -2*q + 2*u = -18. Suppose -4*v + 2*v + q = 4*h, v = -h + 5. Solve v*i = -i for i. 0 Let y(h) = 2*h**2 + 5*h - 9. Let w be y(-4). Solve w*l - 3 + 0 = 0 for l. 1 Let k(n) = -4*n - 13. Let p be k(-4). Let j be -2*(-5)/6*p. Suppose 13 = 3*m - 4*b - 2, -3*b = 4*m + 5. Solve 0 = q + m - j for q. 4 Suppose -8*s + 22*s = 0. Solve 11*z - 14*z - 15 = s for z. -5 Suppose -4*p + 4*t - 20 = 0, -17 = -3*p - 3*t - 2. Suppose j + 4 = 3*j. Solve j*q - 6 + 2 = p for q. 2 Let h = -6 + -2. Let s(v) = v**2 + 6*v - 11. Let u be s(h). Suppose 0 = -g - u*g + 12. Solve g*f - f = -5 for f. -5 Let s be 54/(-15)*35/(-21). Suppose s*a = 16 - 10. Solve c - a = -2 for c. -1 Let w(i) = i + 8. Let t be w(-5). Let m = -19 - -9. Let x be (m/6)/(10/(-12)). Solve t*d = -x*d for d. 0 Suppose -4*x + 2*y = -24, -3*x - 2*y - 12 = -4*x. Solve 0 = -c + 3 - x for c. -1 Suppose 2*y = 5*g - 65, y + 5 = g - 8. Let c = -13 + g. Suppose -5*w = -k + 5*k + 5, c = -5*k - 25. Solve 2*f + w*f - 10 = 0 for f. 2 Let k = 0 - -2. Suppose -i - i + c - 48 = 0, -2*i = k*c + 60. Let b = 28 + i. Solve a + 0 = b for a. 2 Suppose -5*n + 4*m = -521, 310 = 3*n
{ "pile_set_name": "DM Mathematics" }
4690. Find the third derivative of u(x) wrt x. 12102 Let o be -1 - 0 - -8 - 5. What is the first derivative of -h**o + 1458*h**3 - 1475*h**3 - h**2 - 212 wrt h? -51*h**2 - 4*h Let a(m) = 43*m**2 - 116*m + 1446. Suppose r - 20 = -18. Let k(n) = 8*n**2 - 23*n + 289. Let x(d) = r*a(d) - 11*k(d). Differentiate x(g) with respect to g. -4*g + 21 Let u(w) be the second derivative of -w**7 + 4*w**6/15 + 1079*w**3/2 - 1338*w. Find the second derivative of u(s) wrt s. -840*s**3 + 96*s**2 Suppose -4 = -x, -3*w - x = -2*x + 106. Let h = w + 36. What is the third derivative of -7*m - 2*m**5 + 7*m + 20*m**h + 6*m**5 wrt m? 240*m**2 Suppose -40*r + 36*r - 4*n + 452 = 0, 0 = 4*r - 5*n - 470. Find the second derivative of -15*i**3 - 66*i**3 - r*i + 21*i**3 - 36*i**3 wrt i. -576*i Suppose -z + 5*l - 5 = -6*z, -3*z = -2*l + 2. Suppose z = 2*o - 8, -2*m + 5*o = m + 8. Find the second derivative of -7 + m*v + 15*v**5 + 2 + 5 wrt v. 300*v**3 Let r(z) = -2*z**3 - 106*z**2 - z - 360. Let c(f) = 4*f**3 + 210*f**2 + 3*f + 729. Let p(v) = -2*c(v) - 5*r(v). What is the second derivative of p(j) wrt j? 12*j + 220 Suppose -4*n - 5 = 5*z - 10*z, n + z - 1 = 0. What is the third derivative of 61*s**4 - 10*s**2 - 33 + n*s**2 - 8*s**2 + 31 wrt s? 1464*s Let s(o) = 5*o + 18. Let d be s(0). Suppose -9*q = -d - 0. What is the second derivative of -18*c - 7*c + c + q*c**2 + 6*c wrt c? 4 Let s(r) = -r**3 + 13*r**2 + 31*r - 9. Let a be s(15). Let x be (-156)/(-65)*765/a. What is the third derivative of -28*h**3 - x*h - 40*h**2 + 306*h wrt h? -168 Let s(a) be the first derivative of 303*a - 19/2*a**2 + 244. Find the first derivative of s(x) wrt x. -19 Let m be (1/(-3))/((-2)/(-36)*-1). Suppose 12*d - 30 = m. What is the second derivative of -4*r - d*r**4 - 28*r - 7*r + 13*r wrt r? -36*r**2 Let u be -15 - -18 - (1 - 2). What is the third derivative of -879*h**2 + 2*h**4 - 2*h**u + 36*h**5 + 918*h**2 - 89*h**5 wrt h? -3180*h**2 Let i(l) be the second derivative of -141*l**4 + 6139*l**2/2 - 6577*l. What is the derivative of i(b) wrt b? -3384*b Suppose 4*t + 89 = 3*q + 109, t - 5 = 3*q. Let k(n) be the first derivative of -2/5*n**t + 0*n**2 + 14 + 0*n**4 - 16*n + 0*n**3. Differentiate k(p) wrt p. -8*p**3 Let n(s) = -13*s**2 - 1290*s - 8969. Let h(w) = -17*w**2 - 1720*w - 11959. Let i(y) = 7*h(y) - 9*n(y). Find the first derivative of i(t) wrt t. -4*t - 430 Let s(c) be the second derivative of 91*c**5/4 - 197*c**3/2 + 314*c. Find the second derivative of s(a) wrt a. 2730*a Let o(k) be the second derivative of 1733*k**4/12 + 1117*k**2 - 10904*k. Differentiate o(a) with respect to a. 3466*a Let x(w) be the second derivative of 29*w**6/30 - w**5/10 + 380*w**2 + 966*w. Find the first derivative of x(p) wrt p. 116*p**3 - 6*p**2 Suppose 12*k - 112 = 200. Find the third derivative of -k*f**2 - 351*f**4 + 194*f**4 + 211*f**4 - 25*f**2 wrt f. 1296*f What is the first derivative of -226 + 1133 + 1204 - 6127*o - 243 wrt o? -6127 Let l(f) be the second derivative of 1509*f**8/56 + 423*f**4/4 - 1418*f. Find the third derivative of l(d) wrt d. 181080*d**3 What is the third derivative of 1545 - 6*b**4 - 605*b**4 + 3020*b**2 - 3019*b**2 wrt b? -14664*b Let j(d) be the first derivative of -89*d**4/2 + 936*d + 1523. What is the derivative of j(f) wrt f? -534*f**2 Let k(t) be the second derivative of 1539*t**5/20 - 793*t**2 - t - 834. Differentiate k(d) with respect to d. 4617*d**2 Let m = -7 - -9. Suppose 2*i + 0*t = -2*t, 0 = i + 5*t + 16. Find the third derivative of 8*d**m + 17*d**4 + 11*d**2 - 4*d**4 + i*d**4 wrt d. 408*d Let b(c) be the first derivative of 1/4*c**4 + 5*c - 2*c**3 + 0*c**2 + 88 - 7/5*c**5. Find the third derivative of b(f) wrt f. -168*f + 6 Suppose -3*x - 7 + 37 = 0. Suppose -33*p + 21 = -54 - 24. Find the second derivative of -31*r**3 + 53*r**p - x*r - 17*r - 39*r**3 wrt r. -102*r Suppose 8*t - 67 - 69 = 0. Suppose -65 = t*c - 22*c. What is the derivative of -3*h**3 - 32 + 13*h**3 - c*h**2 + 13*h**2 wrt h? 30*h**2 Suppose 3*h - 4*m = 27, 5*m - 14 - 4 = -2*h. Let a(x) be the first derivative of -h - 12*x**2 + 28*x + 13 + 5 + 15. What is the derivative of a(u) wrt u? -24 Let n(t) be the third derivative of 83*t**9/168 + t**6/120 + t**5/30 - 59*t**4/6 + 625*t**2 + 2*t. What is the third derivative of n(p) wrt p? 29880*p**3 + 6 Find the first derivative of 262 + 207*g**4 + 455 - 24*g**4 - 97 wrt g. 732*g**3 Find the third derivative of -6*y**3 + 100*y**4 + 5*y**3 + 6*y - 354*y**4 + 6*y**2 - 363*y**4 + 2 wrt y. -14808*y - 6 Suppose 3*u = 5*f + 19, -u = -0*u + 5*f + 7. Find the second derivative of -35*l**3 + 6*l**u + 8*l + l + 0*l wrt l. -174*l Let k(u) be the second derivative of -70*u**3 + 1776*u**2 - 2*u - 1575. What is the derivative of k(t) wrt t? -420 Let h(v) = v**3 + 25*v**2 + 4*v + 55. Let t be h(-17). What is the second derivative of 4*z**4 + 5 + 2306*z + 8*z**2 - t*z + 2*z**4 wrt z? 72*z**2 + 16 Let u(a) = -3*a + 2. Let v be -2 + 1 + -8 + 4. Let j = -15 - -9. Let g(i) = 3*i - 3. Let z(q) = j*u(q) + v*g(q). What is the first derivative of z(y) wrt y? 3 What is the derivative of -5250472 + s**3 - s**3 + 5251333 - 4966*s**4 wrt s? -19864*s**3 Let d(l) be the second derivative of -1087*l**4/4 + 3409*l**3/6 + 15*l + 6. Find the second derivative of d(w) wrt w. -6522 Let k = 93 - 133. Let o = 44 + k. Find the second derivative of 8*h - 8*h**o - 6*h**4 + 5*h**4 wrt h. -108*h**2 What is the third derivative of 1841*h**4 - 231270 + 231270 - 262*h**2 wrt h? 44184*h Suppose 24 = 8*p + 8. Suppose -5*b - p*j + 2 = -18, 0 = 2*b + 5*j - 29. Find the third derivative of -7*r**2 - 4*r**2 + 3*r**b + 12*r**3 wrt r. 72 Find the third derivative of -155*t**4 + 13*t**2 - 9*t**3 - 42 - 13*t**2 + 6 + 4*t**3 + 3*t**2 wrt t. -3720*t - 30 Find the second derivative of 10 - 24322*a**2 - 929*a + 24112*a**2 - 10 wrt a. -420 Let f(j) be the third derivative of -659*j**4/8 - 2137*j**3/2 - 285*j**2 + 2. What is the first derivative of f(m) wrt m? -1977 Suppose -5*v = 22 + 18. Let h be (v/10)/((-9)/45). What is the second derivative of 21*y + 4*y**3 + 2 - 6 + h wrt y? 24*y Let u(i) = 3540*i - 1664. Let w(b) = 3539*b - 1635. Let z(l) = 6*u(l) - 5*w(l). Differentiate z(q) with respect to q. 3545 Differentiate -945 - 1188*q + 598*q + 288 + 593*q - 189*q**2 - 43*q**2 with respect to q. -464*q + 3 Suppose 0 = 5*p + i + i - 2, -34 = 3*p + 10*i. Let w(d) be the second derivative of 1/12*d**4 - 9*d - 10*d**p + 0 + 0*d**3. Differentiate w(q) wrt q. 2*q Let m = -206 + 444. Suppose 0 = 10*f - 2 - m. Find the second derivative of -7*i - 12*i - f*i**4 + 7*i - 3*i**4 wrt i. -324*i**2 Let p be 14/35 + 65/25. Differentiate 4*j**p - 46 - 5*j**3 - 6*j - 27*j - 37*j wrt j. -3*j**2 - 70 Let g(u) = 2*u**2 - 63*u + 92. Let o be g(30). Let m(j) be the third derivative of 3*j**3 + 0 + 1/24*j**4 + 0*j - 5*j**o. Differentiate m(y) wrt y. 1 Let o(s) = 1638*s**2 + 259*s - 35. Let b(y) = 546*y**2 + 86*y - 13. Let p(a) = -11*b(a) + 4*o(a). Find the second derivative of p(h) wrt h. 1092 Let a(g) be the second derivative of 5*g**8/28 + 13*g**6/10 + 37*g**4/3 + 3*g**2/2 + 343*g - 2. What is the third derivative of a(n) wrt n? 1200*n**3 + 936*n What is the second derivative of 4970*d**5 + 2*d**3 - 4942*d**5 - 15*d**3 - 1017*d wrt d? 560*d**3 - 78*d Let k(q) = 3558*q**2 - 2084*q - 23. Let y(g) = -712*g**2 + 421*g + 4. Let p(s) = -4*k(s) - 22*y(s). Find the second derivative of p(c) wrt c. 2864 Find the third derivative of -211*y**2 + 2657*y**3 - y + 92*y**2 + 56*y**2 + 84*y**2 + 1 - 14215*y**3 wrt y. -69348 Let r(l) be the second derivative of -39*l**5/4 - 9003*l**2/2 - 16*l + 5. Differentiate r(z) with respect to z. -585*z**2 Let b = 820 + 830. Find the third derivative of -b*a + 2*a**2 - 16*a**4 + 3253*a - 1674*a + a**6 wrt a. 120*a**3 - 384*a Let i(k) be the third derivative of -2*k**7/105 - 7*k**6/6 + k**5/10 + 83*k**3/3 + 1856*k**2. What is the third derivative of i(y) wrt y? -96*y - 840 Let m(r) be the first derivative of 233*r**3 + 237*r + 1027. Find the first derivative of m(a) wrt a. 1398*a Let p(h) be the third derivative of -31*h**6/120 + 31*h**5/60 + 394*h**3/3 + 821*h**2. Differentiate p(v) with respect to v. -93*v**2 + 62*v Let r(n) = n**2 + 2*n - 10. Suppose 4*d = -3*p - 2*p, 4*p - 36 = 4*d. Let g be r(d). What is the third d
{ "pile_set_name": "DM Mathematics" }
rom {f: 4, d: 4, v: 9}. Give prob of picking 4 d. 1/2380 What is prob of picking 1 h and 1 m when two letters picked without replacement from rzhhrzsrzhmrzzv? 1/35 What is prob of picking 4 m when four letters picked without replacement from {m: 9}? 1 Three letters picked without replacement from wpehwswsw. Give prob of picking 1 h, 1 s, and 1 p. 1/42 What is prob of picking 1 g and 3 v when four letters picked without replacement from vvgvvvvvvgvv? 16/33 Four letters picked without replacement from cqccccqoooqcccqo. Give prob of picking 1 o, 1 c, and 2 q. 48/455 Two letters picked without replacement from ppwpwypjm. What is prob of picking 1 y and 1 j? 1/36 Two letters picked without replacement from {p: 3, m: 1, z: 4, b: 5}. What is prob of picking 1 p and 1 b? 5/26 What is prob of picking 2 b when two letters picked without replacement from bqbpppbqpzzqqqwbq? 3/68 Three letters picked without replacement from qttby. Give prob of picking 1 q, 1 t, and 1 b. 1/5 Three letters picked without replacement from eyyyyjjmmymje. What is prob of picking 2 m and 1 y? 15/286 What is prob of picking 2 v and 2 j when four letters picked without replacement from jjfjfvjvvvjvvjjvffvj? 784/4845 Three letters picked without replacement from vbbvvvvvbvvvbvvvbvvv. Give prob of picking 3 b. 1/114 Two letters picked without replacement from {i: 1, m: 5, a: 3}. What is prob of picking 1 m and 1 a? 5/12 What is prob of picking 3 n and 1 e when four letters picked without replacement from eneennnnnneennnnnn? 143/306 Two letters picked without replacement from zvzzzvvzvvzvzv. What is prob of picking 2 z? 3/13 What is prob of picking 1 h, 1 y, and 1 d when three letters picked without replacement from {a: 2, d: 1, y: 2, h: 9}? 9/182 Two letters picked without replacement from ttttttztttttztztttz. Give prob of picking 2 t. 35/57 What is prob of picking 3 f when three letters picked without replacement from faffffffffdfdfdfaf? 143/408 Four letters picked without replacement from qfauukaaafauafu. What is prob of picking 1 u, 1 f, 1 a, and 1 k? 24/455 Four letters picked without replacement from {n: 1, k: 4, s: 3, o: 6}. Give prob of picking 1 n and 3 k. 4/1001 What is prob of picking 1 t and 2 v when three letters picked without replacement from ttvvtvjtvtt? 12/55 Calculate prob of picking 2 k and 2 i when four letters picked without replacement from kkkkikkkiikk. 12/55 What is prob of picking 2 r when two letters picked without replacement from {m: 10, r: 4}? 6/91 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from ijju. 1/3 Four letters picked without replacement from {y: 1, j: 3, t: 1, b: 5, r: 1, w: 2}. Give prob of picking 2 j, 1 y, and 1 t. 3/715 Two letters picked without replacement from kkmkmkkmmmkmm. Give prob of picking 2 m. 7/26 Two letters picked without replacement from {c: 1, p: 1, m: 2, z: 2}. What is prob of picking 1 z and 1 p? 2/15 What is prob of picking 4 r when four letters picked without replacement from {r: 4, m: 6, v: 1, x: 4}? 1/1365 Two letters picked without replacement from {g: 3}. Give prob of picking 2 g. 1 Calculate prob of picking 2 k, 1 z, and 1 n when four letters picked without replacement from qnzzknnknnzkn. 54/715 Calculate prob of picking 4 n when four letters picked without replacement from nnonoonnonnonoonnoo. 35/646 What is prob of picking 1 n and 2 x when three letters picked without replacement from {x: 3, n: 4}? 12/35 Calculate prob of picking 1 o and 2 f when three letters picked without replacement from oyf. 0 Calculate prob of picking 1 u and 1 w when two letters picked without replacement from swusssmumm. 2/45 Three letters picked without replacement from {x: 1, n: 1, o: 18}. Give prob of picking 1 x and 2 o. 51/380 What is prob of picking 2 x when two letters picked without replacement from {s: 2, v: 4, d: 2, x: 2}? 1/45 Calculate prob of picking 2 p and 1 r when three letters picked without replacement from frrppfrrrrrr. 2/55 Three letters picked without replacement from {w: 6, l: 1, t: 5, a: 2, b: 5}. Give prob of picking 1 a and 2 b. 20/969 Three letters picked without replacement from gxrxrekxxxxxr. What is prob of picking 1 r and 2 x? 63/286 What is prob of picking 1 f and 2 x when three letters picked without replacement from xkkkxfxxkxkf? 1/11 Four letters picked without replacement from gllgdggdggglgmlgmgg. What is prob of picking 1 g, 2 m, and 1 d? 11/1938 Three letters picked without replacement from {m: 1, x: 1, p: 1, z: 4, k: 1}. What is prob of picking 1 m, 1 k, and 1 z? 1/14 What is prob of picking 3 b when three letters picked without replacement from xbrrbrexxbrrrrbb? 1/56 Calculate prob of picking 2 p and 1 e when three letters picked without replacement from {e: 11, p: 2}. 1/26 What is prob of picking 1 v, 1 s, and 1 f when three letters picked without replacement from {v: 6, s: 8, f: 1}? 48/455 Four letters picked without replacement from {u: 3, d: 2, o: 1, m: 1, l: 10, h: 2}. What is prob of picking 1 d, 1 h, and 2 l? 15/323 Three letters picked without replacement from peeg. What is prob of picking 1 p, 1 e, and 1 g? 1/2 Two letters picked without replacement from {s: 6, z: 1, g: 3, v: 3}. Give prob of picking 2 s. 5/26 Calculate prob of picking 1 j and 1 o when two letters picked without replacement from ovypypooojy. 4/55 Two letters picked without replacement from {d: 1, v: 2, b: 2, q: 4, i: 5}. Give prob of picking 1 b and 1 q. 8/91 Calculate prob of picking 1 h, 1 p, 1 j, and 1 x when four letters picked without replacement from jhxjxprhhhjjjjrjxh. 7/204 Three letters picked without replacement from yyyyvuuuy. What is prob of picking 1 v and 2 u? 1/28 What is prob of picking 1 b and 1 h when two letters picked without replacement from tmllsltlssbshlsstmhs? 1/95 Four letters picked without replacement from {f: 3, l: 2, g: 4, m: 1, w: 2, a: 3}. What is prob of picking 1 f, 1 a, 1 g, and 1 m? 12/455 Two letters picked without replacement from eesese. What is prob of picking 2 s? 1/15 Three letters picked without replacement from {g: 2, o: 1, t: 7}. Give prob of picking 1 o and 2 t. 7/40 Four letters picked without replacement from {m: 1, p: 4, z: 7, x: 6}. What is prob of picking 1 z and 3 x? 7/153 Calculate prob of picking 1 s and 1 j when two letters picked without replacement from sujsshssssuhuhjhjus. 8/57 Two letters picked without replacement from euegbggueugug. Give prob of picking 1 b and 1 e. 1/26 What is prob of picking 1 v and 1 m when two letters picked without replacement from {v: 1, c: 1, m: 2}? 1/3 What is prob of picking 2 x and 2 m when four letters picked without replacement from xyxxbmmxxbbbymyimym? 25/969 What is prob of picking 1 d and 3 q when four letters picked without replacement from {d: 1, q: 18}? 4/19 Three letters picked without replacement from {u: 2, e: 2, z: 1, d: 6, q: 4, v: 3}. What is prob of picking 2 e and 1 z? 1/816 Calculate prob of picking 3 z and 1 b when four letters picked without replacement from izbbzizz. 4/35 Calculate prob of picking 1 q, 1 s, and 1 i when three letters picked without replacement from {b: 3, q: 4, i: 1, z: 6, v: 2, s: 4}. 4/285 Four letters picked without replacement from arppapapprwra. What is prob of picking 1 p, 1 r, and 2 a? 18/143 Two letters picked without replacement from {s: 2, b: 6, r: 5, p: 1, y: 2, v: 3}. Give prob of picking 2 v. 1/57 What is prob of picking 1 g and 1 t when two letters picked without replacement from wwxxxwtgxgxy? 1/33 What is prob of picking 3 a when three letters picked without replacement from {a: 8, n: 4, v: 4}? 1/10 Three letters picked without replacement from mmama. Give prob of picking 3 m. 1/10 Calculate prob of picking 1 r and 2 l when three letters picked without replacement from {l: 2, r: 4, a: 7}. 2/143 Two letters picked without replacement from cccoccccocycyc. What is prob of picking 2 o? 1/91 What is prob of picking 1 a and 1 w when two letters picked without replacement from xwwxav? 2/15 Calculate prob of picking 1 m and 1 e when two letters picked without replacement from qvvqmve. 1/21 Two letters picked without replacement from siskiieiis. What is prob of picking 2 i? 2/9 What is prob of picking 1 y and 1 q when two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
-2*u - 2*w, 5*u - 242 = -4*w + 3707. Is u a prime number? False Suppose -5*i + 4*i = -3. Is 67*(1 + i - 1) composite? True Suppose 11*d = 5 + 39. Suppose -2*b = -d*s + 245 - 825, b - 286 = 3*s. Is b prime? False Let c(y) = y**2 - 11*y + 14. Let a be c(10). Suppose 0 = 5*t - 4*u + 3*u - 6067, -a*t + 5*u = -4862. Is t composite? False Let y(s) = -348*s**3 - 2*s**2 - 4*s - 11. Suppose -10*k - 2*k = 24. Is y(k) prime? False Suppose 3960 = 4*j + 4*s, -3*j + j - 3*s = -1985. Is j a composite number? True Let s(n) = n + 30. Let b be s(-26). Suppose 3*v - 4*x = 116 + 5747, 0 = -x - b. Is v a composite number? False Let c be 2*(-6)/(-4) - (-10 - -11). Suppose 15*n - 6443 = -c*n. Is n prime? True Let n = 9887 + -6706. Is n a prime number? True Let j(c) = c**3 + 2*c**2 - 2*c - 3. Let w be j(-2). Let z(h) = -h - 2 - 24*h + w - 6. Is z(-6) composite? True Let i(y) = 7512*y - 49. Is i(9) composite? False Let s(z) = 0 - 4*z - 6*z**2 + 4 - z**3 + 8*z + 4*z**3. Let q(h) = h**3 - h**2 + h + 5. Let i be q(0). Is s(i) composite? True Let o(u) = -2*u**3 + 4*u**2 + 7*u - 10. Let c = 18 - 13. Let t be o(c). Let m = -72 - t. Is m composite? False Let l(z) = -5*z + 22. Let i be l(4). Suppose -i*p + 9465 = 5*d, p = -2*d - p + 3780. Is d a prime number? False Suppose -2*a - 648 = -4*a. Let o be 17/((-15)/(-5) + -2). Let i = a - o. Is i a composite number? False Let q(g) be the second derivative of 11*g**4/12 + g**3/3 + 2*g**2 - 14*g. Is q(-3) a prime number? True Let l be 3/(-1) - 3/(15/(-35)). Suppose 0*m - 2*z + 891 = m, -l*z = -4*m + 3540. Is m composite? False Let x = 92 + -94. Let t(w) = w + w + 4*w**3 - 13*w**3 + 3. Is t(x) composite? False Let b = -432 - -2052. Suppose 5*t = -2*y + b, t + 803 = 2*y - y. Suppose 4*o - y + 209 = 0. Is o prime? True Suppose 33*f - 128357 = 80632. Is f a composite number? True Suppose -2*q + b + 4 = -11, -5*b - 15 = 0. Suppose 3319 = q*f - 3287. Is f a composite number? True Suppose 5*c + 25 = 0, -5*b = c - 822 - 29163. Is b a composite number? True Let p(m) = -558*m - 125. Is p(-19) composite? False Let p be 12/(-10)*(-10 + 0). Let v(f) = -f - 3 - 5*f**3 + 5*f - 3*f**2 + p*f**3. Is v(2) composite? True Let p(s) be the third derivative of 71*s**5/40 + s**4/12 - s**3/6 + 12*s**2. Let y(m) be the first derivative of p(m). Is y(1) a prime number? False Suppose -7*j + 3908 = -11*j. Is (j/(-2))/(3*(-3)/(-18)) prime? True Let b = -7406 - -10999. Is b a composite number? False Suppose 0 = -0*t + 2*t + 2, 20274 = 4*l + 2*t. Is l composite? True Let u be ((-526)/(-3))/(7/42). Suppose -3*d + 5*n - 1565 = 0, 6*d + u = 4*d - n. Let y = d - -760. Is y a prime number? False Suppose -2*r = 3*y - 24, 4*r - 2*r - 3*y = 0. Suppose 86 = -r*h + 548. Is h composite? True Suppose -6116968 = -84*b - 20*b. Is b prime? False Let n be 2718 + 10*-5*6/(-75). Suppose 6*g - n = 4*g. Is g a composite number? False Let l = 49 + -17. Suppose 4*y + 4*a = l, -a = -3*y - 5*a + 27. Suppose 5*b + 18 - 56 = -3*n, -16 = -3*b + y*n. Is b prime? True Let x(f) = 40*f + 24*f - 3*f. Let y(n) = -12567*n. Let w(i) = -413*x(i) - 2*y(i). Is w(-1) a prime number? True Let i be 5*9/((-135)/78). Let t = i + 26. Suppose t*m - 895 = -m. Is m prime? False Suppose 5*f - 2*l - 456409 = 0, 5*f + 4*l = 8*f - 273837. Is f prime? True Let o(m) be the third derivative of 7*m**6/36 + m**5/120 + m**4/6 - m**3/6 - m**2. Let g(a) be the first derivative of o(a). Is g(-3) prime? True Let i be (5 + 4/(16/(-12)))*1. Suppose 4*d + i*b = -306 + 902, 5*b = 5*d - 745. Is d composite? False Let w(d) = 1823*d + 73. Is w(10) a prime number? False Let u = 18837 + -9026. Is u a prime number? True Let n be (-3)/(-1) - 2/(-2). Suppose -n*l = -k - 15, 2*l + 4 = 3*l. Let z = k + 2. Is z a prime number? True Suppose 2*s + 48 = 2*p, -s = 4*s - 3*p + 112. Is 434/6 + s/15 composite? False Suppose 2532 = 7*g - 751. Is g composite? True Let h = -83 + 218. Suppose 389 = 2*r + h. Is r prime? True Let o = 57917 + -31120. Is o prime? False Let o = 62 + -50. Suppose -o*q + 10*q + 6034 = 0. Is q a prime number? False Let m be (4 - -1)*(2 + -1). Suppose t - m*t = -52. Is t a composite number? False Let v = -1970 - -4117. Is v a prime number? False Suppose -3*j - 193103 = -40*j. Is j composite? True Let t(x) = -x**2 - x + 86. Let m be t(-18). Let y(o) = -3*o**3 - 3*o**2 - 5*o + 4. Let n be y(-5). Let w = m + n. Is w a prime number? True Is (-2)/((-63876)/111734 + (-172)/(-301)) a prime number? False Let d = -75870 - -113983. Is d prime? True Let d(c) = -296*c + 2. Let r(k) = -k + 5. Let u be r(3). Let m be d(u). Is (3 + 0)/((-6)/m) prime? False Is (-259894)/(-30) + 114/(-855) a composite number? False Suppose -p + b + 373 = 0, 0*p - 2*p - 3*b + 751 = 0. Suppose -4*a + p = -2*a. Is a a composite number? True Let y(n) = 15*n - 2. Let h(l) = -1 - 14*l + 2 + 0. Let a(s) = -4*h(s) - 5*y(s). Is a(-9) a prime number? False Let y = -8 + 7. Let d(l) = -2*l**3 - l**2 - 3*l - 2. Let p be d(y). Suppose 0 = p*f - 11 - 1. Is f prime? False Let g(p) be the first derivative of p**4/4 - 10*p**3/3 + 8*p**2 - 4*p - 23. Is g(15) a composite number? False Suppose 0 = -2*r - 3*t + 12, -5*r + 0*t + 16 = 4*t. Suppose 2*v = h - 364, -v = 2*h - r*h - 748. Is (h + 1)*(-2 - -3) prime? True Suppose 693 = o + 4*x + 98, -5*o + 2943 = 4*x. Suppose -8764 + o = -13*t. Is t a composite number? True Let r be (3506/(-4))/(((-52)/96)/(-13)). Is r/(-10) - (-12)/(-20) a prime number? False Let m(k) = -4*k**3 - 3*k**2 + 5*k + 10. Let q be m(-4). Suppose -4*w - 2*a + 807 = -3*a, w = -a + q. Is w a prime number? False Let r be (5388/(-30))/(4/(-10)). Let p = -188 + r. Suppose 0*q - 3*q = -p. Is q prime? False Let z = -40 + 34. Is z/(36/21)*-74 a prime number? False Suppose -130254 = -12*n + 582966. Is n a prime number? False Let l be 1208/12 - (-1)/3. Let p = -68 + l. Is p composite? True Let g = 23606 - 10779. Is g prime? False Suppose 215 = 3*d + 5*b - 80, -3*d + 5*b = -305. Suppose -6*n + n = -d. Suppose -t - 2*u = -n - 191, 0 = -2*u. Is t a composite number? False Let g(l) = 12*l**2 + 67*l - 19. Is g(-46) composite? False Suppose -5*p = 0, -40*i = -35*i + 5*p - 250935. Is i a prime number? False Suppose -3528 = -15*w + 7*w. Let v = w - -374. Is v prime? False Let j(o) = -o**3 + 8*o**2 - 5. Let t be j(10). Let c = t - -582. Is c composite? True Suppose 6*b + 152535 = 21*b. Is b composite? False Is (-1)/((-4)/(-6)) + 445452/24 a composite number? True Let b(w) = 23*w - 4. Let o be b(1). Let h = 21 - o. Is h prime? True Let g(a) = -a**3 + a**2 + a + 2. Let d be g(2). Suppose d = -0*h + 5*h - 3290. Suppose 2*k + 2*j = h, -5*j + 1401 = 4*k + 85. Is k a composite number? True Suppose -8*r = -6*r + 12. Let k be r/4 - 2/4. Is (1/(-3))/(k/2514) a composite number? False Let v = -1593 - 480. Is v/(-2)*(-6)/(-9) composite? False Suppose -3*v + 6*v + 2*t = 13, 4*v - t = 32. Suppose 5*g - v = 8, -4*l + 3*g + 139 = 0. Is l composite? False Let c = 6100 + 2823. Is c composite? False Let m(v) = 202*v**2 - 4*v. Let i be m(2). Suppose -3*g - 5*z + i + 696 = 0, -2*g - 2*z = -996. Is g a composite number? True Suppose -445791 = 52*g - 1204523. Is g a composite number? False Suppose 128 + 28 = -4*h. Is ((-586)/6)/(13/h) composite? False Suppose -3*r - 2*r = -3780. Let u be (-1)/3 + -8 + 100/12. Suppose 3*j - 4*s - 761 = u, -6*s - r = -3*j - 3*s. Is j composite? True Let y(u) = 4*u**3 - 4*u - 9. Is y(5) a prime number? False Is (481037/(-74))/((-1)/2) a prime number? True Let a(q) = 46*q**2 - 11*q + 2. Let y be a(6). Let l = y + -937. Is l prime? False Suppose -32*c + 36*c = 728. Let a = c + 639. Is a a prime number? True Suppose -3*a = 5*i - 1012, -411 = -3*a + 5*i + 551. Let d = 666 - a. Suppose 0 = 3*n - 2*n - d. Is n a prime number? True Suppose -5*a = 4*w - 16 - 2, 0 = -5*w - 5*a + 20. Suppose 4*t - 772 = -w*k, 0 = -4*t + k + 259 + 519. Is t a composite number? True Suppose 5*o - 8427 - 6303 = 0. Suppose -4*c + 7*w = 2*w - o, 5*c = -5*w + 3705. Is c composite? False Is (-12 - -15)*63734/6 a composite number? True Let s(q) = 87*q**2 - 7*q - 2. Let g be s(7). Is (-4)/1 + -1 + g a prime number? False Suppose -4098 = -3*a - 2*m, -a = -4*a + m + 4098. Is a a composite number? True Suppose -3*g + 17443 + 59558 = 0. Is g composite? False Let r = 92 + 650. Suppose -4*w - q = q - r, 2*
{ "pile_set_name": "DM Mathematics" }
at is -0.5204604 rounded to one decimal place? -0.5 What is 0.00011795443 rounded to five dps? 0.00012 What is -706512 rounded to the nearest ten thousand? -710000 Round -276452650 to the nearest 100000. -276500000 What is -16299380 rounded to the nearest 1000000? -16000000 Round -0.000322528 to five decimal places. -0.00032 Round -0.9051877 to two dps. -0.91 What is 0.000003727409 rounded to seven decimal places? 0.0000037 Round -1.62461 to 3 decimal places. -1.625 What is 0.00973149 rounded to three dps? 0.01 Round -42.2281 to 1 dp. -42.2 Round 419.451 to the nearest 1000. 0 What is -3991000 rounded to the nearest one million? -4000000 Round -0.00000559943 to six dps. -0.000006 What is 0.00010131331 rounded to five dps? 0.0001 What is 5833.467 rounded to the nearest 10? 5830 What is 518800.7 rounded to the nearest ten thousand? 520000 Round 278.31219 to the nearest 10. 280 Round -3.797662 to three dps. -3.798 What is 1307853 rounded to the nearest 10000? 1310000 Round 1.721442 to 1 dp. 1.7 Round 0.0000108534 to six dps. 0.000011 What is 1886634 rounded to the nearest 1000000? 2000000 Round -0.035631 to 3 dps. -0.036 What is -0.04000459 rounded to 4 decimal places? -0.04 Round -24.126554 to 1 dp. -24.1 What is -0.3105703 rounded to two decimal places? -0.31 Round -37.915799 to the nearest 10. -40 What is 2491200.6 rounded to the nearest 100000? 2500000 What is -0.01049759 rounded to 5 dps? -0.0105 What is -49428.1 rounded to the nearest 1000? -49000 What is -491003 rounded to the nearest 10000? -490000 Round 2406846000 to the nearest one million. 2407000000 Round 45232200 to the nearest one million. 45000000 Round -18392975000 to the nearest one million. -18393000000 Round -0.0001614597 to 7 dps. -0.0001615 What is 568865 rounded to the nearest 10000? 570000 What is 0.00050789085 rounded to four decimal places? 0.0005 Round 20.381874 to 3 dps. 20.382 What is -0.0231492 rounded to 4 dps? -0.0231 Round -52.0164 to one dp. -52 What is -73379.74 rounded to the nearest one thousand? -73000 Round 3013699000 to the nearest one million. 3014000000 Round -1286.314 to the nearest one hundred. -1300 Round 1.312349 to 3 decimal places. 1.312 What is -159183.148 rounded to the nearest one thousand? -159000 What is 161420.3 rounded to the nearest ten thousand? 160000 Round 0.00000700113 to seven decimal places. 0.000007 Round -3440.6 to the nearest ten thousand. 0 What is -0.00016494066 rounded to 7 decimal places? -0.0001649 Round -0.0066855 to 3 dps. -0.007 What is 2217150.2 rounded to the nearest one hundred thousand? 2200000 What is -0.11576838 rounded to two dps? -0.12 Round 88.9978 to one dp. 89 Round -0.000716891 to five dps. -0.00072 Round -3244500 to the nearest one hundred thousand. -3200000 Round -0.0041196244 to 4 decimal places. -0.0041 What is 0.0000007155461 rounded to seven decimal places? 0.0000007 What is -3440420 rounded to the nearest one million? -3000000 Round 67054.3 to the nearest 1000. 67000 What is -0.000000279614 rounded to seven dps? -0.0000003 Round 6.96534 to 1 dp. 7 Round 416.3113 to the nearest ten. 420 What is -10048300 rounded to the nearest one million? -10000000 Round 0.00009634656 to 7 dps. 0.0000963 Round 834.3 to the nearest 100. 800 What is 914.316 rounded to the nearest 10? 910 Round -1304134.2 to the nearest ten thousand. -1300000 What is 2438028000 rounded to the nearest 1000000? 2438000000 Round 351.5964 to one dp. 351.6 What is -23035.1 rounded to the nearest one hundred? -23000 Round -0.02442347 to four decimal places. -0.0244 Round 254.5981 to the nearest 10. 250 Round -235412.2 to the nearest one hundred. -235400 Round 1581.0031 to the nearest one hundred. 1600 What is 14414890 rounded to the nearest one million? 14000000 Round 16.41166 to the nearest integer. 16 What is 294.2842 rounded to zero dps? 294 Round -29.79633 to 0 decimal places. -30 Round -0.3131149 to 2 dps. -0.31 Round -855515.65 to the nearest one thousand. -856000 What is 147628800 rounded to the nearest one million? 148000000 Round -0.007907103 to four dps. -0.0079 Round -0.000215802 to five decimal places. -0.00022 What is -231953.54 rounded to the nearest 100000? -200000 Round -2579411.8 to the nearest 1000. -2579000 What is 0.00005377689 rounded to 5 decimal places? 0.00005 Round -0.00023336367 to five dps. -0.00023 What is 0.0000004167599 rounded to seven dps? 0.0000004 Round -0.00255445 to 5 dps. -0.00255 Round 0.0000017983173 to seven dps. 0.0000018 What is 18173.9 rounded to the nearest one thousand? 18000 What is 5223470200 rounded to the nearest 1000000? 5223000000 What is -0.01646376 rounded to 4 dps? -0.0165 What is -0.00588819 rounded to 3 decimal places? -0.006 What is 2323.727 rounded to the nearest one thousand? 2000 What is -77.467779 rounded to the nearest integer? -77 What is 155.65971 rounded to two decimal places? 155.66 Round -0.06917669 to three decimal places. -0.069 What is 0.0476356 rounded to two decimal places? 0.05 Round 0.0003661037 to 4 decimal places. 0.0004 Round 0.000150484 to five decimal places. 0.00015 Round -260663700 to the nearest one million. -261000000 What is 901.9214 rounded to the nearest integer? 902 What is 63871330 rounded to the nearest one hundred thousand? 63900000 Round 0.0003820631 to six dps. 0.000382 What is -22604699 rounded to the nearest 100000? -22600000 Round 71530 to the nearest one hundred thousand. 100000 Round -0.0000009850122 to 7 decimal places. -0.000001 What is 0.1471257 rounded to three decimal places? 0.147 What is 203029000 rounded to the nearest 1000000? 203000000 Round 0.023456354 to five dps. 0.02346 Round -0.483954 to three dps. -0.484 What is -1.9023 rounded to two decimal places? -1.9 Round -0.098605 to 3 dps. -0.099 Round -1367066.1 to the nearest 1000. -1367000 What is -5499.99 rounded to the nearest one thousand? -5000 Round 0.002196279 to four decimal places. 0.0022 What is -5.1448196 rounded to zero decimal places? -5 What is -18635751 rounded to the nearest 10000? -18640000 Round -0.2641314 to two decimal places. -0.26 What is 244681 rounded to the nearest one hundred thousand? 200000 Round -1290.421 to the nearest one hundred. -1300 What is 31150000 rounded to the nearest one million? 31000000 What is 469199.3 rounded to the nearest ten thousand? 470000 Round 0.0002505944 to 5 dps. 0.00025 Round 0.012174 to 1 decimal place. 0 Round 13.22636 to one decimal place. 13.2 What is -19926100 rounded to the nearest one hundred thousand? -19900000 What is -0.04381478 rounded to five dps? -0.04381 Round -0.009945885 to 3 decimal places. -0.01 What is 3726.07 rounded to the nearest 10? 3730 What is -8833359 rounded to the nearest 1000000? -9000000 What is 69303.78 rounded to the nearest ten? 69300 Round 7.18026 to 1 decimal place. 7.2 What is 60452.2 rounded to the nearest 100? 60500 What is 403.609 rounded to the nearest integer? 404 What is -0.1086976 rounded to 3 dps? -0.109 What is 0.001231739 rounded to six dps? 0.001232 Round 0.000444145 to five dps. 0.00044 Round -50599000 to the nearest 1000000. -51000000 Round -0.0000209674 to 7 decimal places. -0.000021 Round -0.276749 to three dps. -0.277 Round -0.904689 to 3 decimal places. -0.905 Round 0.0004473879 to 4 decimal places. 0.0004 What is -0.004326495 rounded to four decimal places? -0.0043 What is 0.24807255 rounded to two dps? 0.25 Round 6425.64 to the nearest 100. 6400 Round 0.0000372194 to 6 decimal places. 0.000037 What is 91843840 rounded to the nearest 10000? 91840000 What is 0.056015775 rounded to four decimal places? 0.056 What is -268245000 rounded to the nearest one million? -268000000 Round -690.5159 to the nearest 100. -700 What is 134687900 rounded to the nearest 100000? 134700000 What is 0.001126708 rounded to 5 dps? 0.00113 What is -133848000 rounded to the nearest 1000000? -134000000 What is 28090.16 rounded to the nearest 100? 28100 Round 867.153 to the nearest integer. 867 What is -3141.063 rounded to the nearest one thousand? -3000 Round -0.0032339183 to three decimal places. -0.003 What is 0.0000153335 rounded to seven decimal places? 0.0000153 What is -7.61454 rounded to 2 dps? -7.61 Round 112724.38 to the nearest ten. 112720 What is -1.0852902 rounded to 3 dps? -1.085 Round 0.674738 to
{ "pile_set_name": "DM Mathematics" }
prime factors of 5564/j + 6/21? 199 Let m be -10 + 5 - 406 - -2. Let o = m + 715. List the prime factors of o. 2, 3, 17 Let l = -27104 - -42676. What are the prime factors of l? 2, 17, 229 Suppose -11*z + 8*z = 5*g - 27731, g = 5*z + 5563. What are the prime factors of g? 2, 19, 73 Let w = 75 + -65. Let j = 6 - 10. List the prime factors of (4448/(-18))/j + w/45. 2, 31 Suppose 5*w + 0*w - 5245 = -5*l, -3*w + 2*l = -3142. Suppose 28*u = 32*u - w. Let n = u + -171. List the prime factors of n. 7, 13 Suppose 3*u + 1944*i - 1949*i = 69993, 2*u = -i + 46662. What are the prime factors of u? 3, 7, 11, 101 Let s = -13 - -15. Suppose 0*k - k + 2*m + 135 = 0, 0 = s*k + 2*m - 270. Suppose z - 118 = -d, -5*d + k = -4*z + 580. What are the prime factors of z? 5, 23 Let c(z) = -z**3 - 18*z**2 - 98*z + 19. Let n be c(-21). Suppose n + 1493 = 7*w. List the prime factors of w. 3, 233 Let v(w) = -w**3 + 3*w**2 - w - 1. Let t be v(2). Let m(a) = 181*a + 6. What are the prime factors of m(t)? 11, 17 Suppose -3 = t - 5. Let q(y) be the third derivative of 3*y**5/5 + y**4/24 - y**3/2 + 65*y**2 + 5. What are the prime factors of q(t)? 11, 13 Let x be ((3 - 0) + -2)*-27. Let l = x - -23. What are the prime factors of -1 + l/(-3) + 28/6? 5 Let v(i) = i**3 - 10*i**2 + i - 8. Let y be v(10). Suppose 4125 = 17*g - y*g. Suppose 21*x - 26*x + g = 0. What are the prime factors of x? 5, 11 Let u(d) = -9 + 2 + 2 - d + 1. Let z be u(-9). Suppose 0*l = -z*l + 25. List the prime factors of l. 5 Suppose 87 = -17*n + 597. List the prime factors of 724*1/10 + (-12)/n. 2, 3 Suppose 8 = -4*q - 3*t, 2*q = -2*t + 4 - 6. Let d be 25/((4 + q)*1). Let z = 40 - d. What are the prime factors of z? 5, 13 Suppose -2*g + 0*g + 6 = 0. Let i = 365 + -361. Suppose 0 = z - 3, -g*w + i*z + 153 = -0*w. List the prime factors of w. 5, 11 Let h(u) = 90*u - 1105. What are the prime factors of h(42)? 5, 107 Let x be (-42)/(-9)*(-105)/(-14). Suppose 0 = x*s - 42*s + 3325. What are the prime factors of s? 5, 19 Suppose 6*y + 10*y = 53568. Suppose -p = 8*p - y. List the prime factors of p. 2, 3, 31 Suppose 3*y + 6809 = 4*x - 3*x, -15 = -3*y. List the prime factors of x. 2, 853 Let a be 5/(5 - -5)*0. Suppose -u + 19 = m, -3*u + a*m + 77 = -m. Suppose u + 4 = 7*w. What are the prime factors of w? 2 Let t be 2/2*(2 + 43). Suppose -709 = -61*d + 511. Suppose d + t = i. List the prime factors of i. 5, 13 Let z(a) be the second derivative of -a**5/20 - a**4/3 - a**3/6 - a**2/2 - 15*a. Let b be z(-4). List the prime factors of (-1)/b + (-624)/(-9). 3, 23 Suppose -4*b + 6*m - 15 = 3*m, -4*b + 2*m = 10. What are the prime factors of 264/3 - (b/(-5))/(-2)? 2, 11 Let n(p) = -129*p**2 - 1. Let h be n(-1). Suppose 3*c + 482 = -5*j + 1441, -3*c = 2*j - 389. Let y = j + h. What are the prime factors of y? 2, 3, 5 Let i(u) be the second derivative of u**5/20 - 2*u**4/3 + 19*u**3/6 - 23*u**2/2 - 189*u. List the prime factors of i(13). 1069 Let z(a) = -3*a**3 + 143*a**2 - 181*a + 50. What are the prime factors of z(41)? 26249 Let m = 8000 + -11640. Let u = 5106 + m. List the prime factors of u. 2, 733 Suppose 41*u + 120 = 47*u. Suppose 4*j + u = 0, -3*a + 991 = -4*j - 307. List the prime factors of a. 2, 3, 71 Suppose 4*x - 24485 = -f, -3*f = -3*x + 2507 + 15868. List the prime factors of x. 2, 3061 Suppose -3*v - 12799 = 3*t + 4286, -28495 = 5*v - 5*t. List the prime factors of 912/(-84) + 11 - v/7. 2, 11, 37 Let m = 66 - 25. Let f(x) = -x**2 + 6*x - 22. Let d be f(8). Let q = d + m. What are the prime factors of q? 3 Suppose 4*y - 24 = 4*z, -5*y = -4*z - 6 - 23. Let d be 155/y - (-2)/(-2). Suppose 35*s - 295 = d*s. List the prime factors of s. 59 Let u(p) be the third derivative of -p**6/120 + 17*p**5/60 - 3*p**4/4 + 8*p**3/3 - 3*p**2. Suppose -3782*j + 3775*j = -105. What are the prime factors of u(j)? 2, 7 Suppose -2*q - 2*p = 6, -11*q + 12*q + 4*p = -12. Suppose -5*g - 322 - 426 = -2*o, -o - 3*g + 352 = q. List the prime factors of o. 2, 7, 13 Let p = 24 + -17. Let c(d) = -d**3 + 6*d**2 + 4*d + 24. Let r be c(p). List the prime factors of ((-30)/(-21))/(r/42). 2, 5 Suppose -3*s = 950 - 56. Let z = 1201 + s. List the prime factors of z. 3, 7, 43 Let x be ((-31)/(-62))/((-2)/(-20)). Suppose 4*g - 2030 = -x*s, -5*s + g + 428 = -1577. What are the prime factors of s? 2, 3, 67 Let u(r) = 354*r**2 + 89*r + 33. What are the prime factors of u(-6)? 3, 7, 11, 53 Let t(j) = 1011*j**2 + 51*j - 46. List the prime factors of t(3). 2, 4603 Let j = 7210 + -4369. What are the prime factors of j? 3, 947 Let o = -869 + 874. Suppose -4*f = o*a - 3*f - 4946, 0 = -3*a - 3*f + 2958. List the prime factors of a. 2, 3, 5, 11 Suppose -2*n + 4836 = 4*n. Suppose 5*y + 1304 + n = -5*i, i = -4*y - 434. Let h = -246 - i. What are the prime factors of h? 2, 43 Let n(q) = q**3 - 16*q**2 + 15*q + 7. Let j be n(15). Suppose -j*l - 200 = l. List the prime factors of (-370)/l*(6 + -1). 2, 37 Let n be -4 + 6292/36 - (-4)/18. What are the prime factors of n/((-21)/(-7)) - (1 - 0)? 2, 7 Suppose 14*w + 13365 = 5007. Let r = 61 - w. List the prime factors of r. 2, 7, 47 Suppose -4*c - 2*x + 14 = -0*x, 0 = -2*x - 6. Suppose i = -3*a + 1035, 0 = -c*a + 10 + 5. List the prime factors of i. 2, 3, 19 Suppose -3151 = -2*y + 1073. Suppose y = 25*z - 10763. List the prime factors of z. 5, 103 Suppose y - 146803 = -6*y - 3842. What are the prime factors of y? 13, 1571 Suppose 0 = 4*k - 7002 - 3186. Suppose -3*q - 2*a = -1529, 5*q - k = -4*a - 0*a. What are the prime factors of q? 7, 73 Suppose 397*o = 399*o + 114. Let q be 4/(-10) - (-1036)/(-35). Let y = q - o. List the prime factors of y. 3 Let h(j) = j + 66. Let v be h(0). Let z = v + -70. List the prime factors of z + (-282)/(-3) + -2. 2, 11 Suppose 15*s = -127*s + 1544534. What are the prime factors of s? 73, 149 Suppose 35*n - 862287 - 779613 = -15*n. List the prime factors of n. 2, 3, 13, 421 Suppose 19 = 2*w + 9. Suppose 1187 = 4*h + w*b - 597, 5*b = h - 446. What are the prime factors of h? 2, 223 Let n = -135 + 207. Suppose -n*r + 76*r = 1192. List the prime factors of r. 2, 149 Suppose 5*r = 4*j + 1696 - 7583, 4*j - 5896 = -4*r. Let w = j + -746. List the prime factors of w. 727 Let j(i) = 1043*i - 1. Let n(l) = -l**2 + 20*l - 63. Let b be n(16). List the prime factors of j(b). 2, 521 Let x be (-6)/10 - (-8)/40*23. Suppose -5*t = 4*o - 8*t - 394, 0 = -3*o - x*t + 283. List the prime factors of o. 97 Let m = 10 - 5. Let f(h) = h**3 - 15*h**2 - 117*h + 31. Let q be f(21). Suppose -3*a = b - q, -5 = m*a - 0*a. List the prime factors of b. 223 Let y = -504 - -1123. List the prime factors of y/1 - (10 - 6). 3, 5, 41 Suppose 27*q - 24*q - 5*v = 52438, 0 = 4*q - 3*v - 69932. What are the prime factors of q? 2, 7, 1249 Suppose 0 = 20*n - 7*n + 2977. Let s = 372 + n. List the prime factors of s. 11, 13 Suppose 0 = 4*z - z - 3174. Suppose -y + 3*i + 170 = 0, z = 4*y - 3*i + 351. Let u = y + -64. What are the prime factors of u? 5, 23 Let u(x) = 1745*x**2 - 209*x + 414. List the prime factors of u(2). 2, 109 Suppose -h - 212*t + 209*t = -26113, -4*t + 28 = 0. List the prime factors of h. 2, 11, 593 Let r(l) = 21*l**3 + 17*l**2 + 33*l - 5. What are the prime factors of r(8)? 3, 37, 109 Let x = 108 + -103. List the prime factors of (2 + 8/x)/((-2)/(-115)). 3, 23 Let w be 4/(-3)*-6*(-4)/(-8). Suppose -4*z = -2*g - 508, 4*g + 181 = w*z - 335. Suppose q + 28 = z. What are the prime factors of q? 97 Let w(t) = -942*t - 10. Let s be w(3). List the prime factors of 2 + 1/((-4 - 0)/s). 3, 79 Suppose 3*w - 8136 = -5*g - 148, 3*g + w = 4796. What are the prime factors of g? 2, 5 Suppose -2*a + 3*f = -0*a - 71, 0 = -a + 4*f + 38. Let l = -29 + a. Suppose 4*b - 183 = -l*r, b + 0*r = -3*r + 37. List the prime factors of b. 2, 13 Let o(f) = 15*f**2 - 2*f + 2. Suppose 0 - 8 = 3*b + t, -5*t = b - 16. List the prime factors of o(b). 2, 5 Suppose 28*b - 40326 - 64142 = 0. List the prime factors of b. 7, 13, 41 List the prime factors of -11 + (5 - -4) + 24031 - 0. 24029 Let v = -72407 - -145754. What are the prime factors of v? 3, 23, 1063 Let r be 8/80 - (-3)/(-30). Suppose -t - 4*d + 1044 = r, 5*t = 4*d + 865 + 4259. What are the prime factors of t? 2, 257 Suppose 10208 = 4*a - 133872. What are the prime factors of a? 2, 5, 1801
{ "pile_set_name": "DM Mathematics" }
(c) z c Let u = 969/8 - 121. Let x = u + 9/56. Which is the closest to -1/2? (a) 0.4 (b) x (c) 0 c Let f be 288/(-54) - (-1)/(6/8). Let r = -1619/12 - -135. Which is the nearest to 1? (a) f (b) 4 (c) r c Let t = -1046 + 1046.2. Which is the closest to -0.1? (a) 0 (b) -9/23 (c) t a Let v = -180 + 187. Which is the closest to v? (a) -5 (b) 0.1 (c) -2 b Let u = 0.112 - -3.888. What is the nearest to -1 in 6, u, -3? -3 Let h = 38.9 - 39. Let q = -0.7 + 0.6. What is the closest to h in q, -5, 2/3? q Suppose 4*y - 13 = -5. Let z = -47 + 65. Let k = z + -18.2. Which is the nearest to 1? (a) 4 (b) k (c) y c Suppose 1 = -v - 4. Let q = -1.8 - -1.4. What is the closest to -2 in v, -0.1, q? q Let b be 2*(-554)/24*14/5719. Let w = -1/129 - b. What is the nearest to 2/9 in -2, 0, w? w Let m = -13.08 - -13.28. What is the nearest to m in -7, -0.06, -0.3? -0.06 Let z = -0.08 - -0.08. Let m be (-3)/2 - 224/(-168). What is the closest to -0.1 in m, 0.1, z? m Let x = 352 - 356. Let t = -0.4 - -0.3. Let w be (-1)/(-4) - 21/20. What is the closest to 1/3 in x, t, w? t Let s be 2/4 + ((-6)/(-12) - 2). Which is the nearest to 0.35? (a) 5 (b) -1/4 (c) s (d) 3 b Let o = -484 - -629. Which is the closest to -1/2? (a) -3 (b) 2/3 (c) 0.3 (d) o c Let i = -12 + 17. Suppose -u - f + 4 = 0, -5*f + 16 = 3*u - 0*f. Which is the nearest to u? (a) 6 (b) i (c) -3 b Let y = 39/10 + -7/2. What is the closest to 6 in 1/6, -3, y, -0.03? y Let u be 0 + (1 - 8/10). Let j be 2*8/(-60)*24/16. Which is the nearest to 2/5? (a) 1 (b) u (c) j b Suppose f + 27 = 4*f. Suppose f*n = 8*n. Let v be (n/(-2))/(0 - -2). What is the closest to v in 0.2, -1/7, -3? -1/7 Suppose 4*q = -5*q + 9. Which is the nearest to q? (a) 3/4 (b) -2/7 (c) -9 (d) 1/7 a Let f = -0.11 + -7.89. Let y = 114 + -115. Which is the closest to y? (a) f (b) -1 (c) 0.4 b Suppose -3*h = 17*w - 14*w + 27, 2*w - 10 = 5*h. Let o = 111 - 72. What is the nearest to -0.1 in -2, h, o? -2 Let v = 2 + 3. Let t = -0.8 + 1.2. Let h = -113/36 - -26/9. What is the closest to h in t, 2/7, v? 2/7 Let i = 28 - 27.6. Let q be 1/4*(238 + 3). Let w = 60 - q. What is the closest to 0.1 in w, i, 0? 0 Suppose 4*r - 3 = 3*k - 27, -3 = 3*k + 5*r. What is the nearest to 1/3 in 0, 1/4, -2, k? 1/4 Suppose -40*o + 21 = -47*o. Let r be (-60)/(-18)*1/5. What is the nearest to -0.2 in o, 4/3, r? r Suppose -2*x - 1 = -x. Let i = 61 - 26. Let o = -36 + i. Which is the nearest to x? (a) o (b) -0.3 (c) 0.2 a Let r be (-20)/230 - (-404)/414. Which is the nearest to -1? (a) r (b) -0.3 (c) 5 b Suppose -112 = 2*g + 104. Let o = g - -968/9. Let i = 0.049 + -1.049. Which is the closest to 0? (a) o (b) i (c) -4 a Let j = 11/3 - 74/21. Which is the nearest to j? (a) -1/6 (b) 0.2 (c) -2/11 b Let t = 7643.1 - 7643.1. Let x = 0 - 0.2. Let p = -2 - -4. What is the closest to t in p, 7, x? x Let q = 50 + -24. Let t = 21 - q. Let s = 3.1 - 3. What is the nearest to s in 2/9, t, 0? 0 Let l = 2.3 + -1.9. Let x = -0.9 - -1.3. Let v = x + -1.4. Which is the closest to 0.1? (a) l (b) v (c) 0 c Let k be (56/210)/((-6)/15). What is the closest to -2 in k, 1, -1, 2/37? -1 Let f = 0.2 + -0.2. Let w = -32.1 + 29. Let b = -0.9 + w. What is the closest to 1 in b, -1/5, f? f Let g(k) = -k**3 + 10*k**2 + 11*k - 1. Let f be g(11). Let d = -10.2 + 9.9. What is the nearest to 2/9 in f, 1, d? d Let d = 82.8 - 3.8. Let l = 79.5 - d. What is the nearest to -2 in l, -0.1, -5? -0.1 Let v = -3.3 + -38.7. Let n = 39 + v. Let d = 2 - 3. What is the closest to 1 in d, 0, n? 0 Let w = 10/11 - 72/55. Let t = -55 - -51. What is the closest to 1 in w, t, 0? 0 Let g = 0.4 + -0.35. Let n = -30.05 + 31. Let y = g + n. Which is the closest to y? (a) -5 (b) 1/6 (c) 5 b Let h(q) = q**2 + 3*q - 4. Let u be h(-4). Let n = 0.5506 + 1.4494. What is the closest to u in 3/2, n, -6? 3/2 Let t = -2.2 + 0.2. Let r = -30 + 30.3. Let h = -15.4 + 15. What is the closest to 2/7 in r, t, h? r Let p = 0.434 - 0.634. Let u = -5 + 3. Which is the nearest to p? (a) 3 (b) u (c) 5 b Let p be (-1)/(-1)*(-3)/3. Let w be (2/6)/(4/(-36)). What is the nearest to p in -0.02, -1/7, w? -1/7 Suppose 54*k - 105 = 75*k. Which is the closest to -5? (a) k (b) 0.5 (c) -2/7 a Let y be (-1)/4 + (-2 - 130/(-264)). Let s = 12/11 + y. What is the closest to 3/5 in 1, s, -2? 1 Let p = 197/7 + -28. What is the nearest to -3 in 1, p, -5? -5 Let o = -15.203 - -0.003. Let g = -15 - o. Suppose 0 = -4*s + 3 - 11. What is the closest to -0.2 in 0, g, s? 0 Let f = 21.9 - 22. Let t(n) = -2*n + 1. Let v be t(1). Which is the closest to v? (a) 0.3 (b) -0.2 (c) f b Suppose -43 - 53 = -4*d. Let p be (2/(-8))/(21/d). What is the nearest to 0.1 in 3/5, p, 0? 0 Let v = 70 + -117. Let d = v - -48. Which is the nearest to 1? (a) 2/13 (b) 0 (c) d c Let t = 65 + -63. Let p be 3/t*(-56)/42. What is the closest to -1 in 1, -0.3, p? -0.3 Let t be (-110)/(-100) - (9/(-30))/(-3). What is the closest to t in -5, 38, 0.1? 0.1 Let p = 6.42 + -6.72. Which is the nearest to 2? (a) 2/9 (b) p (c) -1 a Let c = -1 - -1. Let b = -0.27 - -0.37. What is the nearest to -0.1 in b, 4/3, c? c Let r be (6 + -5)/(0 + 4). Let v = -16 + 21. Suppose -m = -v*m. Which is the nearest to 0.1? (a) -4 (b) r (c) m c Let l = -1561 - -1559. Which is the closest to -1/6? (a) 0.1 (b) l (c) -4 a Let g = -5.09512 - -0.09512. Let j = 0.2 + -0.1. What is the closest to j in g, 0.5, 4/5? 0.5 Let n = 2155 - 2155. Which is the nearest to n? (a) -20 (b) -4/9 (c) 4 (d) -18 b Let j = -337 - -336.8. What is the nearest to j in 17, -4, -2? -2 Suppose 0*h = 2*h - 14. Suppose l - 3*l = -h*l. Suppose -x = 2*q - 13, 0*q - 5*x = -5*q - 5. Which is the closest to l? (a) -1/8 (b) 2/9 (c) q a Let q = -528.5 + 528. What is the nearest to 1 in -2, -1.1, q, -4? q Let h(v) = -v - 3. Let f be h(1). Let n be ((-12)/(-32))/(6/f). Suppose -i - 2 = 0, 0 = 5*o + i - 2 - 1. Which is the closest to -2/5? (a) o (b) n (c) -3 b Suppose -10*w = -w - 18. Let q = -6.3 - -6. Which is the closest to w? (a) -6 (b) q (c) -5/6 b Let a = -30.34 + -0.66. Let d = 31.1 + a. Let x = -362/3 - -119. What is the closest to 5 in d, x, 2/9? 2/9 Let q = 85.2 - 86.2. What is the closest to -0.2 in q, -4, -1.4? q Let k = 26 + -27. Which is the closest to k? (a) 0.09 (b) -2 (c) 8 b Let p = -6.04 + 0.94. Let g = 5 + p. Let m = -66 + 66. Which is the nearest to -0.2? (a) g (b) m (c) -4 a Let i = -0.363 - -0.213. Which is the nearest to 0.1? (a) 1 (b) -0.2 (c) i c Let d = 3 - 0. Let z = d + -2.8. Let y(i) = -20*i + 742. Let t be y(37). Which is the closest to -1? (a) t (b) z (c) 4/5 b Let z = 0 + -0.2. Let p = -0.604 + 0.104. What is the nearest to z in p, 2/11, 1? p Let z = -54.4 - -54. What is the nearest to -0.8 in z, 0, -2? z Let j = 2.94 - 7.94. Which is the closest to -0.2? (a) 6 (b) 1 (c) j b Let t = -458 + 457.8. Which is the nearest to t? (a) -0.9 (b) -4 (c) -1/9 c Let s = -5 - -4.9. Let i = 24.35 - 27.35. What is the closest to s in -0.4, i, -0.1? -0.1 Let n = -43 - -42.6. Let p = n + 4.4. Suppose 0 = 3*h - h. Which is the closest to h? (a) -3 (b) 5 (c) p a Suppose -r + 150 = 4*r. Let i = r - 35. Which is the closest to 0.1? (a) -2/3 (b) -2/15 (c) i b Let i = 1.9 - 2.02. Let w = i + -0.28. Let v = -0.4 - -0.3. What is the nearest to v in 0.4, w, -1/8? -1/8 Let a = -72/7 + 74/7. Let l be (2/(-7) - 6/(-21)) + -1. What is the closest to a in -5/2, -0.5, l? -0.5 Let i = -1.6 - -2. Let j = -0.1 + i. Suppose 0 = 12*h - 401 + 413. What is the nearest to h in -4/7, -3/2, j? -4/7 Suppose 3*h + 4 - 1 = 0. Let l = -15 + 45. Let s = l + -92/3. Which is the closest to s? (a) h (b) 1 (c) -3/4 c Let x = 2/451 + 876/5863. Let i = -0.92 + 0.42. What is the closest to -0.1 in i, x, -0.2? -0.2 Suppose -15 = t - 6*t. Let x = -0.104 + -0.096. Let c = -58.4 + 58. What is the nearest to 1 in x, t, c? x Suppose -3*p - 8 = 2*a - 10, a + 4*p - 11 = 0. Suppose 0*m = 4*m + 8. Let h be (3/a)/(m + -1). What is the closest to -1 in -9/4, h, 0.5? h Let j = 509/15 - 168/5. Which is the closest to j? (a) 8 (b) 0.4 (c) 1 (d) 0 b Let u = 1099/4 - 275. Let x = 0.06 - 0.26. Let o = 0.07 + -0.04. What is the closest to u in o, 1/4, x? x Let o = -5 + 7. Let u = 7.7 - 66.7
{ "pile_set_name": "DM Mathematics" }
(b) wrt b? 3 Let m = -12 - -20. Let n be (-2)/(-7) + (-240)/(-42). Differentiate n + m*a - 1 - 4*a with respect to a. 4 Suppose d = 5*d. Let b(a) be the second derivative of 0*a**4 + 0*a**5 + a - 1/6*a**3 + d*a**2 - 1/30*a**6 + 0. What is the second derivative of b(o) wrt o? -12*o**2 Let n = -91 - -95. Let f(s) be the third derivative of 0*s + 0*s**5 + 4*s**2 + 1/70*s**7 + 0*s**n + 0*s**6 + 0 + 1/6*s**3. Differentiate f(p) wrt p. 12*p**3 Let y be (2/4)/(1/6). Suppose 0 = 3*w + 2*d - 7, d + 2*d = w - 6. Differentiate -2*p**y + 1 + 0 + w*p**3 wrt p. 3*p**2 Let o(x) = -x**4 + x**2. Let n(f) = 6*f**5 + 2*f**4 - 6*f**2. Let b(q) = n(q) + 2*o(q). Find the third derivative of b(u) wrt u. 360*u**2 What is the second derivative of -8*h**2 + 7*h**2 + 4*h**2 + 5*h wrt h? 6 Let a(b) be the third derivative of b**4/8 - b**3/3 + b**2. Let i(j) = -j. Let w(n) = a(n) + 2*i(n). Differentiate w(z) with respect to z. 1 Let q(r) be the third derivative of -1/120*r**6 + 0*r**4 + 0*r**3 + 0*r - r**2 + 0 - 1/30*r**5. What is the third derivative of q(b) wrt b? -6 What is the second derivative of -2*z**2 + 171 - 3*z**3 - 42*z - 171 wrt z? -18*z - 4 Let w(k) be the first derivative of -36*k**5/5 + k**2 - 33. Find the second derivative of w(x) wrt x. -432*x**2 Let a(g) = g + 2*g - 7 - 4*g + 0*g. Let f be a(-12). Find the third derivative of 6*b**6 - 17*b**f - 3*b**2 + 17*b**5 - 4*b**6 wrt b. 240*b**3 Let n(g) be the third derivative of g**9/756 + g**5/60 + g**3/6 + 2*g**2. Let v(d) be the first derivative of n(d). Find the second derivative of v(h) wrt h. 80*h**3 Let z(d) be the second derivative of -43*d**6/30 + 43*d**3/6 - 2*d. What is the second derivative of z(a) wrt a? -516*a**2 Let n(p) be the third derivative of -p**8/840 + p**4/12 - p**3/6 + 3*p**2. Let s(j) be the first derivative of n(j). Differentiate s(g) with respect to g. -8*g**3 Let g(n) = 3*n**3 + 2*n**2. Let f(v) = 8*v**3 + 4*v**2 + 6*v**2 - 2*v**3 - 6*v**2. Let t(w) = 2*f(w) - 5*g(w). What is the third derivative of t(s) wrt s? -18 Let s(x) be the second derivative of -x**7/7 + 7*x**3/6 + 3*x. Find the second derivative of s(w) wrt w. -120*w**3 Let a(w) = w**3 + w + 1. Let b(r) = -r**3 - 4*r - 1. Let y(m) = 12*a(m) + 3*b(m). Differentiate y(u) with respect to u. 27*u**2 Suppose -d + 71 = 5*n, 2*d + 6 = -n + 13. Let j = -11 + n. Differentiate 0 + 1 + 2*u**j - 5*u**4 with respect to u. -12*u**3 Let u(m) = -16*m**2 - 2*m - 12. Let d(r) = -33*r**2 - 5*r - 23. Let j(x) = 2*d(x) - 5*u(x). What is the derivative of j(f) wrt f? 28*f Let k(d) = 3*d - 3. Let c be k(2). Find the third derivative of -c*h**3 + 2*h**3 - 3*h**2 + 4*h**3 wrt h. 18 Let p(a) be the second derivative of -a**4/3 + a**3/2 + 5*a. Find the second derivative of p(d) wrt d. -8 Let o(g) = g**2 + 3*g - 7. Let p = -8 - -3. Let w be o(p). Find the first derivative of 2*a - a + 2 - w wrt a. 1 Let d(w) be the third derivative of 0*w**5 + 1/60*w**6 + w**2 + 0*w + 0*w**3 + 0 - 1/24*w**4. Find the second derivative of d(j) wrt j. 12*j Let u(l) = l**3 - 2*l**2 + 1. Let d be u(-1). Let p = 0 - d. Find the third derivative of -5*w**2 + 0*w**p + 4*w**2 - 3*w**3 wrt w. -18 Find the first derivative of 2 - 2 + 2 - 11*i**3 + 6 wrt i. -33*i**2 Let y(h) be the second derivative of -h**9/2520 - h**7/360 + 7*h**4/12 + 6*h. Let u(f) be the third derivative of y(f). Find the third derivative of u(m) wrt m. -144*m Let b(a) = a - 3. Let f be b(5). Let j(i) = 2*i**3 - 8*i**2 - 11*i + 9. Let w be j(5). Find the third derivative of 4*t + 4*t**f - 2*t**3 - w*t + 0*t wrt t. -12 What is the third derivative of -7*l**2 + 18*l**2 + 14*l**5 - 4*l**2 wrt l? 840*l**2 Let w(b) = 4*b**3 + 9*b**2 - 7*b + 9. Let q(u) = 2*u**3 + 4*u**2 - 4*u + 4. Let c(t) = 9*q(t) - 4*w(t). What is the second derivative of c(g) wrt g? 12*g Let r = -10 - -6. Let b = -2 - r. What is the third derivative of -2*s + 2*s**b + 2*s - s**3 wrt s? -6 Let q(j) = 37*j**3 - 2*j**2 - 3*j - 9. Let k(z) = -19*z**3 + z**2 + 2*z + 5. Let g(p) = -5*k(p) - 3*q(p). What is the second derivative of g(t) wrt t? -96*t + 2 Find the third derivative of -q - q - 15*q**5 + 11*q**2 + 2*q wrt q. -900*q**2 Suppose -h = 2, -3*f = -3*h + 4*h - 64. Suppose 5*d + 2 - f = 0. Find the first derivative of 0 - 1 + 2*v**4 + 0*v**d wrt v. 8*v**3 Let f(j) = 5*j**3 + 8*j**2 - 50*j - 8. Let y(d) = 3*d**3 + 5*d**2 - 33*d - 5. Let g(w) = 5*f(w) - 8*y(w). Find the second derivative of g(a) wrt a. 6*a Let l(k) = 23*k**2 - 10*k. Let t(b) = -23*b**2 + 10*b. Let q(n) = -7*l(n) - 6*t(n). What is the second derivative of q(v) wrt v? -46 Let p(f) be the second derivative of 7*f**5/4 - 17*f**4/12 - 27*f. Find the third derivative of p(g) wrt g. 210 Let r(j) be the second derivative of j**4/6 - j**3/6 - 2*j. Let b be r(-1). Differentiate -5*i**3 - 1 + 5*i**b - 2*i**3 with respect to i. -6*i**2 Let n(d) be the second derivative of -d**9/3024 - d**5/30 - d**4/6 - 4*d. Let v(b) be the third derivative of n(b). Differentiate v(q) with respect to q. -20*q**3 Let a(v) be the third derivative of -v**10/1680 - v**6/120 - v**3/3 + 4*v**2. Let n(b) be the first derivative of a(b). Find the third derivative of n(c) wrt c. -360*c**3 Suppose -13 = -4*d - 5. Differentiate 2 + 5*y**d + 0 - 7 + y**2 with respect to y. 12*y Let w(y) = 8*y + 65. Let l(i) = -26*i - 196. Let k(j) = 3*l(j) + 8*w(j). What is the first derivative of k(a) wrt a? -14 Let l(m) = 3*m**2 + m. Let v(x) be the third derivative of x**5/30 + x**4/24 - 2*x**2. Let w(z) = 5*l(z) - 6*v(z). What is the second derivative of w(t) wrt t? 6 Let w(k) = -4*k + 2. Let i(n) = -4*n + 3. Let r(d) = -5*i(d) + 6*w(d). Differentiate r(v) wrt v. -4 What is the third derivative of -2*n**4 - 34*n**3 + 3*n**2 + 34*n**3 wrt n? -48*n Let b = 10 + -5. Let m = b - 4. Find the first derivative of -m + 4 - 8*p**4 + 0*p**4 + 5*p**4 wrt p. -12*p**3 Suppose c = 5*c - 28. Let o(k) = -9*k**2 + 2*k - 11. Let u(x) = -28*x**2 + 7*x - 34. Let n(i) = c*o(i) - 2*u(i). What is the first derivative of n(l) wrt l? -14*l Let m = 44 - 42. Let x(z) be the second derivative of -1/6*z**3 + 0 - 2*z - 3/2*z**m. Differentiate x(y) with respect to y. -1 Let p(d) be the third derivative of 2*d**7/105 + d**5/12 + 6*d**2. Find the third derivative of p(t) wrt t. 96*t Let c(t) be the third derivative of -19*t**7/105 + 43*t**3/6 + 13*t**2. Find the first derivative of c(j) wrt j. -152*j**3 Suppose -5*q - 25 = 0, -23 = -k + 4*q - 0. Suppose -5*u + 2*u = -6. What is the third derivative of -k*c**u - 2*c**2 + 6*c**2 - c**3 wrt c? -6 Let l(x) be the first derivative of x**8/336 - x**5/30 + 3*x**2/2 + 1. Let p(m) be the second derivative of l(m). What is the third derivative of p(z) wrt z? 60*z**2 Let b(p) be the second derivative of p**7/7 + p**3 + 23*p. Find the second derivative of b(k) wrt k. 120*k**3 Let z(f) be the second derivative of f**5/10 + 7*f**4/12 + 10*f. Find the third derivative of z(w) wrt w. 12 Let d be (1 - 0) + (-2 - -4). What is the third derivative of -2*w**3 - 2*w**2 + 4*w**2 + 0*w**d wrt w? -12 Let d(v) = v - 6. Let u be d(7). What is the derivative of -2*h - h - u - 1 + 4*h wrt h? 1 Let x(p) be the first derivative of -2/3*p**3 + 0*p + 4/5*p**5 + 0*p**4 - 3 + 0*p**2. Find the third derivative of x(b) wrt b. 96*b Let m(h) be the second derivative of 13*h**3/6 - h**2/2 - 5*h. What is the derivative of m(w) wrt w? 13 Let n(h) be the first derivative of -4*h**5/5 + 21*h**2/2 + 2. Find the second derivative of n(b) wrt b. -48*b**2 Let s(g) = 2*g**2 - 6*g + 7. Let p(c) = 6*c**2 - 17*c + 21. Let q(v) = 6*p(v) - 17*s(v). Differentiate q(o) wrt o. 4*o Let z(k) = k - 2. Let h = 10 + -6. Let w be z(h). Differentiate -2*v**2 - v**2 - v**w + v**2 - 1 with respect to v. -6*v Let q = 34 + -28. Let j(d) be the third derivative of 0*d**4 + 0 - 3*d**2 + 1/60*d**5 + 0*d**3 + 0*d + 1/60*d**q. What is the third derivative of j(f) wrt f? 12 Let z = -6 + 8. Suppose -4*w + 14 = 3*w. Differentiate -20*q**w + 20*q**2 + 1 + z*q**3 with respect to q. 6*q**2 Let v = 36 + -21. Let i = -11 + v. Find the second derivative of -3*d**4 + 6*d**i + 0 + 0 + 3*d wrt d. 36*d**2 Let n(s) = -2*s**2 + 28*s - 3. Let h(o) = -5*o**2 + 84*o - 8. Let p(l) = 3*h(l) - 8*n(l). Find the second derivative of p(u) wrt u. 2 Let g(f) = 15*f**4 - 6*f**3 - 18*f - 6. Let k(y) = -46*y**4 +
{ "pile_set_name": "DM Mathematics" }
15/(-1)). 1/3 Evaluate 583/106*((-32)/132)/(15/(-135)). 12 Evaluate (10/(-8))/(((-1)/22)/((23652/(-243))/146)). -55/3 What is the value of 54/(-7)*(1554/(-296))/((792/64)/(-11))? -36 (-21972)/(-3662)*(-145)/6 -145 Evaluate (6726/(-22420))/((-6)/580). 29 What is ((-898)/47145)/(9/(-1485))? 22/7 Calculate 2*57/36*-162*48/(-3888). 19/3 ((-18)/(-10))/(-3)*((-49)/(17248/480))/(-3) -3/11 Calculate 15*((-216)/(-495))/(-24). -3/11 Calculate ((-5814180)/17945)/(3/1). -108 What is the value of (32/(-1008))/((-123)/2583)*192/(-2*2)? -32 (((-963)/17120)/(27/18))/(2/8) -3/20 16/6*1/((-176)/(-4))*(-612)/(-51) 8/11 What is the value of (-111)/((-111)/11)*(-68)/(-22)? 34 Calculate (-3)/((56/112)/(-1*1)*-2)*-5. 15 What is 4/(-6)*(810/(-9))/(17/(51/12))? 15 Evaluate (-4074)/(-70)*(2420/(-2541))/(8/(-14)). 97 Calculate (45*5)/(6450/15480)*(-3)/(-15). 108 151/(-1510)*25*1*7 -35/2 Evaluate (-66)/(-363)*-2*36/48. -3/11 Evaluate (55/66*12)/(820/(-492)). -6 Calculate (4/3)/(125517/215172). 16/7 ((-8)/(-7))/(29734/(-728483)) -28 Calculate ((-15)/(-10))/((18/(-1168))/(543/724)). -73 Calculate 9040/678*65/104. 25/3 (-114)/95*((-70950)/(-99))/(-43) 20 Calculate 6*-3*42/(-30)*2835/(-2646). -27 What is (39/(-2340)*50)/((-5)/1)*(-30)/80? -1/16 What is (660/120)/(7/(-10878)*-77)? 111 Evaluate (-20)/(-6)*51/97750*138. 6/25 Calculate 2/22*10580/(-15870). -2/33 Evaluate 4416/(-4784)*1/(-2). 6/13 What is 3*186/(-414315)*27? -2/55 What is the value of (8/(-42)*2898/644)/((-26)/(-7))? -3/13 What is the value of (1*236/(-30))/((-2226)/(-16695))? -59 Calculate (12126/(-235))/(-43)*((-40)/6)/(-1). 8 Calculate (-87)/464*22/55. -3/40 What is the value of 19/(9044/504)*(-68)/(-3)? 24 Calculate (5/4230*2)/(1768/7956). 1/94 Evaluate 2/4*(-9438)/143. -33 ((-3)/(-8))/((-15)/(-18)*(-10)/(500/(-45))) 1/2 What is the value of ((-3)/57)/((-1914)/19836)? 6/11 What is 65/13*261/(-90)*-2? 29 Evaluate 4/2*21/(-294)*-2*(-399)/(-18). 19/3 What is (8/(-9))/((-162)/1701)*(-855)/(-665)? 12 ((-189)/324)/(249*(-203)/696) 2/249 (1/14*(-1260)/7)/((-345)/(-51520)*32) -60 Calculate (22/22)/((136/(-374))/(-11*4)). 121 19/((-2)/(((-679)/(-291))/((-14)/(-12)))*1) -19 Calculate (-1*(-14)/(-6))/((-1456)/4368). 7 Evaluate ((-8)/10*1)/(645216/(-2688400)). 10/3 Evaluate ((-1)/37*(-13)/(1287/(-33)))/(9/9). -1/111 ((-1008)/98*28/(-6))/(88*11/44) 24/11 What is the value of 2247/(-214)*9/(-1323)? 1/14 Evaluate (-15)/8*(-97344)/76050. 12/5 Calculate 64/45*(-73350)/(-58680). 16/9 What is 653/(-3265)*80/12*18/4? -6 What is (-216)/88452*39*(2/14)/((-24)/(-28))? -1/63 Calculate (-58)/2726*(-54)/(-18). -3/47 What is the value of 16/(-952)*((-20)/40)/(3/21)? 1/17 Evaluate ((-16)/(-70))/(32180/(-11263)). -2/25 What is the value of -8*24/(-56)*406/(-12)? -116 Calculate ((-7560)/(-1980))/((-6)/22). -14 Calculate (-2)/((-8)/(-10))*(-140)/(-12775). -2/73 Evaluate (-11)/((-1617)/(-14))*-5*60/(-50). -4/7 What is the value of (22036/2853662)/(3/21)? 2/37 What is the value of (-16)/150*315/17136*68? -2/15 Calculate ((-8)/2296*-41)/((-4)/(-98))*4/(-511). -2/73 Evaluate (-1953)/36*-1*23408/30723. 124/3 What is 36/(-28)*(-18)/648*-168*(-10)/12? 5 (390/195)/((-24)/20) -5/3 What is the value of 97818/411*(-2)/196? -17/7 Calculate -17*150*(-847)/(-30855). -70 Evaluate (-24)/72*(-24)/(-30)*-18*-5. -24 What is the value of (91/5642*-31)/((-5)/6)? 3/5 What is the value of (910/(-28))/((-910)/280)? 10 What is 48/((-1728)/36)*(-60)/(-10)? -6 What is the value of ((3/(-10))/(324/11070))/(5/(-20))? 41 What is (6/(-4)*3320/996)/(-3*1/3)? 5 What is (-11)/2*(-11781)/734349? 3/34 Calculate (3/4)/((-6)/(-84)*-49*18/(-28)). 1/3 Calculate ((-5)/(-840)*28)/((-2)/(-108)). 9 Evaluate 280/315*(-11)/(-88). 1/9 What is 6/((-24)/10)*-39*1/(15/(-10))? -65 Evaluate 2/((-37)/((-16317)/(-84))*(-105)/6). 3/5 Evaluate ((-133539)/(-31795))/(14/360). 108 What is the value of -22*39/26*(-1)/(-2)*(-124)/93? 22 -34*(-8)/10*((-11375)/520)/(-35) 17 What is the value of ((-1)/35)/((-147)/((-52185)/(-71)))? 1/7 What is ((-72)/(-112)*(-2)/3)/(12582/(-504)*2)? 2/233 (80*58/10440)/(16/6) 1/6 Evaluate 2*-2*((-6)/((-1332)/185))/((-5)/(-33)). -22 Evaluate -10*104/((-323960)/(-267)). -6/7 What is the value of ((-416)/(-1560))/(7/(-1680))? -64 Calculate ((-730)/(-292))/((-100)/(-2520)). 63 What is (-121)/5808*204*12? -51 Calculate (37260/8970)/(2/(-13)). -27 What is the value of (20/8*20)/(3*-1*140/(-504))? 60 What is 11/(3201/6)*3/(-18)*3? -1/97 What is the value of 3/4*((-142760)/774)/166? -5/6 What is -5*32/40*2? -8 What is the value of 192/608*(9/(-18))/(21/2)? -2/133 What is the value of 261/1015*(-80)/(-192)*8/(-21)? -2/49 Calculate (-42)/(-28)*-42*60/(-140). 27 What is ((-5165)/(-13429))/(350/1560)? 12/7 Calculate (-13455)/3588*(-1)/(4/16*1/5). 75 What is 46/10465*2041/471? 2/105 What is 3/10*220/(-24)*(-490)/539? 5/2 What is the value of 658/(-329)*(-22)/(-1)? -44 What is the value of ((-82)/1148)/((16/126)/4)? -9/4 Evaluate ((40221/40984)/(-123))/(3/16). -2/47 Evaluate (4/(-6)*(-3)/40)/((-38)/456). -3/5 What is the value of (-2)/(-104)*(-108264)/5552? -3/8 What is (6/(-25))/(2/30)*7430/4458? -6 Evaluate (-268)/(-12)*2890/290445. 2/9 Calculate ((-8)/(-60))/(54/(-12)*7/840*8). -4/9 Evaluate -2*((-57)/(-76))/((-18)/(-4))*(-310392)/(-958). -108 What is the value of (-190)/133*(-331)/(-8275)? -2/35 Calculate 31/((-20)/(-1560)*-39). -62 What is (-32*3/4)/((-21)/56*14)? 32/7 Calculate (-186)/3*5112/(-2556). 124 What is the value of (-48)/(-9)*297/(-2277)*-46? 32 (84/(-8))/((-56)/(-560)*-15) 7 18/(-57)*96/1680*805/552 -1/38 What is the value of 1296/36*(-28)/21? -48 Evaluate ((-2415)/34776)/(5/2)*96/(-12). 2/9 What is -14*10/(-16)*7480/935? 70 Calculate 15/(-6)*80/(1403600/363). -3/58 Evaluate (126/(-45))/(((-6466)/265)/(-61)). -7 ((-42)/7)/((-127002)/(-694)) -2/61 ((-868)/(-217))/((-30)/705*(-2)/(-2)) -94 What is (19*154/4180*-5)/(-2*11/4)? 7/11 Calculate (10659/(-2907)*(-1)/11)/(4/30). 5/2 What is the value of 8/((-10)/5)*40/(-256)*-56? -35 Calculate (126/5)/(-21)*(-5)/(-20)*1. -3/10 Calculate (-32)/9*(-158202)/(-35156). -16 Evaluate 70/(-225)*(-19)/(7182/60). 4/81 What is (((-78)/(-325))/(3/20*-74))/(46/115)? -2/37 Evaluate ((6/(-7))/((-9)/21))/(2*6/246). 41 Calculate -2*30/468*((-7659)/(-690))/37. -1/26 What is ((-3)/(9/12))/((-9)/(3312/(-46)))? -32 Evaluate (((-8)/6)/2)/(((-5)/10)/(153/(-204))). -1 Evaluate -19*((-8)/26)/(204/(-34)*2/78). -38 What is (324/45)/(-3)*(750/(-45))/(16/(-12))? -30 What is (3/(-5))/(65/50*(-32)/(-104))*-32? 48 Evaluate (75/(225/(-15)))/(-1)*2/2*-1. -5 Evaluate ((5*3/6265)/((-184)/(-644)))/(6/(-4)). -1/179 What is the value of (-100)/(-42)*(-1436484)/(-24430)? 140 What is the value of ((-24)/29400*5)/((-16)/240)? 3/49 What is the value of (1/5*-68)/((-110)/275*(-31)/31)? -34 What is the value of ((-2700)/3300)/(14/66)? -27/7 What is the value of (195/2184)/(195/819)? 3/8 What is the value of (((-3)/(-5))/(90/(-60)))/(231/(-70))? 4/33 (-15)/(90/256)*8/(-80)*-15 -64 (-4272)/(-6)*275/(-2200) -89 What is the value of 12/(-18)*10/(-4)*((-102144)/760)/(-16)? 14 -1*12/(-15)*(118/(-59))/((-4)/24) 48/5 What is the value of (1140/141360)/(45/72)? 2/155 What is the value of ((-4)/24)/(10/(-90)*16/(-4))? -3/8 Calculate 44/(-187)*(-4913)/(-578). -2 Calculate ((33/(-77))/(50/105))/(46/(-345)*-12). -9/16 Evaluate ((-1120)/2640)/(3/(858/(-13))). 28/3 (651/364)/31*22/99 1/78 What is the value of (9/42*1)/(132*(-57)/(-55176))? 11/7 Evaluate (-2210)/1326*(1584/30)/2. -44 Calculate 110/(-6)*((-63)/(-252))/(50/(-60)). 11/2 What is the value of (15405/(-55458))/(((-5)/(-4))/((-9)/(-12)))? -1/6 Calculate (-5*108/(-7980))/(((-10)/(-175))/(28/420)). 3/38 Calculate (-3236)/36405*(25/42)/(-5). 2/189 What is the value of ((-6)/(-5))/((-8736)/58240)? -8 Calculate ((-120)/2251080*-169)/(2/(-6)). -1/37 (-6)/8*-16*570/(-152) -45 What is ((-3)/(72/(-10)))/(16/((-2560)/(-1300)))? 2/39 -3*-598*92/(-12696) -13 What is ((-50)/(7250/(-29)))/((-2)/190*-1)? 19 (-726)/(-121)*989/258 23 Calculate (-1*(-210)/7)/(3/2*2240/(-420)). -15/4 Evaluate 171/(-15)*(-350)/210. 19 32/144*-1*2*(-189)/(-14) -6 What is the value of ((-10)/20)/(((-12)/10)/(-2)*(-268)/19296)? 60 ((-152)/114)/((-170)/1785) 14 (87*33/(-99))/(1/1) -29 What is the value of -44*90/(-2376)*((-22)/(-539))/((-15)/(-21))? 2/21 Evalua
{ "pile_set_name": "DM Mathematics" }
1 Let k = -5.3499 + 5.349949831. Round k to seven dps. 0.0000498 Let c(m) be the third derivative of -390585*m**4/8 - m**3/6 - 3*m**2. Let q be c(-1). Suppose -7*o + 2818246 + q = 0. What is o rounded to the nearest 100000? 600000 Suppose 8*d + 56 = -0*d. Let y(b) = b**2 + 7*b + 3. Let z be y(d). Suppose -z*j = -5*i + 1120009, -896266 = -4*i - 4*j - 278. Round i to the nearest 10000. 220000 Let n(g) = 8326*g - 542. Let s be n(-8). What is s rounded to the nearest 10000? -70000 Suppose -77280 = -59*z + 65*z. What is z rounded to the nearest 1000? -13000 Let f = 16.74 + -16.9114. Let t = f + 0.2637. What is t rounded to two decimal places? 0.09 Let w = -32.8 - -36.384. Let y = w - 0.284. What is y rounded to 0 dps? 3 Suppose 30*u - 7*u - 499560 = 0. Suppose -4*j - r = u, -3*j - r = -2*r + 16290. What is j rounded to the nearest 1000? -5000 Let x = 2409 - 2403.15. What is x rounded to the nearest integer? 6 Let k = -112705916.866000579 - -112706670.866. Let j = k - 754. What is j rounded to 6 decimal places? -0.000001 Let u(a) = a**3 - 4*a**2 - 18*a + 41. Let p be u(6). Suppose -3*l = -p*m + 4*m + 1675985, 0 = -5*m - l + 8380005. What is m rounded to the nearest 100000? 1700000 Let j = 250 + -245.6. Let b = 4.513 - j. Round b to 1 dp. 0.1 Let w = -2 + 2. Let u(s) be the first derivative of -s**3/3 - s**2/2 + 5200*s - 88. Let h be u(w). What is h rounded to the nearest 1000? 5000 Let s = -888 + 1102. Let c = s - 213.999997912. Round c to 7 dps. 0.0000021 Let p be (-5003986)/(-18) - 106/477. Let q be (p - -3)/2 + (-5)/5. What is q rounded to the nearest 100000? 100000 Let c = 2603.7891 - 2604. Let o = -3384.7 + 3375.4791. Let f = c - o. What is f rounded to the nearest integer? 9 Let f = 3842 - 3842.4816. Round f to two decimal places. -0.48 Let d = -159.4 - -30.4. Let y = 6 + d. Let z = 122.999592 + y. Round z to 5 decimal places. -0.00041 Let r = -2439 - -2439.000030505. Round r to 6 decimal places. 0.000031 Let r = -40.2 + 40.2317. Let y = -0.02756 + r. Round y to 3 dps. 0.004 Let c be (-14154)/63*(-2031)/(-2). Let a = 116149 + c. What is a rounded to the nearest 10000? -110000 Let n = -62 - -126. Let f = -64 + n. Suppose f = -14*c + 18*c - 41600000. What is c rounded to the nearest one million? 10000000 Let i = 0.0616 - -124.0084. What is i rounded to the nearest ten? 120 Let k = -236 + 240. Suppose -k*x = -4*r + 1184, -2*x = -7*r + 6*r + 292. What is r rounded to the nearest 100? 300 Let m = 18647 + 108633. What is m rounded to the nearest 10000? 130000 Suppose -t + 4061 = 1583. Let r = -7296 - -12818. Let h = r + t. Round h to the nearest ten thousand. 10000 Let x = -0.354 + 0.515. Let q = 0.325 - x. What is q rounded to two decimal places? 0.16 Let i = 0.0168 - -8.6232. Let b = i + -157.74. Let o = 159 + b. Round o to 0 decimal places. 10 Let c = -27067153999.815585 - -58805.815585. Let w = c + 27067095375.99999859. Let q = w + -182. What is q rounded to seven decimal places? -0.0000014 Let l = 649 - -147. Let c = l - 796.000000733. Round c to seven dps. -0.0000007 Let g = 56.95 + -73.9. Let y = g - 0.05. Let u = y + 17.217. What is u rounded to 2 decimal places? 0.22 Let a(r) be the third derivative of 0 + 28*r**2 - 1/2*r**3 - 1/24*r**4 + 0*r + 1/12*r**5 + 54443/120*r**6. Let b be a(3). Round b to the nearest 100000. 1500000 Suppose -t - 7*t = 0. Let k be 6 + 1 + t - (-6 - -2). Suppose k*r + 13193005 = -3856995. What is r rounded to the nearest 100000? -1600000 Let i = 59 + -56. Suppose -i*p - 4*p + 3864000 = 0. What is p rounded to the nearest one hundred thousand? 600000 Let d(y) = 65*y + 9. Let m = -6 - -14. Let t be d(m). Round t to the nearest one hundred. 500 Let t = -271 + 148.1. What is t rounded to the nearest integer? -123 Let i = -57.6 + 183.6. Let n = 126.00000319 - i. Round n to 6 decimal places. 0.000003 Let a(x) = -13*x**3 - 22*x**2 - 12*x - 503. Let t be a(29). What is t rounded to the nearest one hundred thousand? -300000 Let i = 1767 - 1763.556. Let h = 3.3 - i. Let q = -0.144485 - h. What is q rounded to 4 dps? -0.0005 Let d(m) = -14120992*m**2 + 10*m + 2. Let z be d(-1). What is z rounded to the nearest 1000000? -14000000 Let r = -6145 + -15148. Let v = r - -8911. Let p = 25982 + v. What is p rounded to the nearest one thousand? 14000 Let g = -6223.004 - -6849.39. Let f = -626 + g. Round f to 2 dps. 0.39 Let t = -14371 - -14272.03. What is t rounded to the nearest ten? -100 Let u = -65603 + 65596.4098. Let a = -6.6 - u. Round a to two dps. -0.01 Let g = 884.1 + -884.0996672. Round g to five decimal places. 0.00033 Let c = 123 + -123.246. Let f = 33.046 + c. What is f rounded to the nearest integer? 33 Suppose 4*r = 96 - 64. Suppose 12*w - r*w = u + 1, -2*w + 8 = 2*u. Suppose -u*t - 7390 = -4*t. What is t rounded to the nearest one thousand? 7000 Let n = 1047 - 1046.9961716. What is n rounded to five dps? 0.00383 Let t = 145.5 - 141.48. Round t to one decimal place. 4 Let u(f) = 3*f + 14. Let n be u(0). Let p be 1/n - (-28525)/(-98). Round p to the nearest one hundred. -300 Let w = 3933.999986546 - 3934. What is w rounded to six decimal places? -0.000013 Let v = -0.3492895635 + 253.3492624635. Let s = v + -253. Round s to 5 decimal places. -0.00003 Let y = -2235 + 11599. Let s = -2136 - y. What is s rounded to the nearest 10000? -10000 Suppose -3*m - 4*p + 6*p - 580844 = 0, -2*m + 2*p = 387224. Round m to the nearest 100000. -200000 Let n be ((-7)/(-35))/(2/947930) - 3. Suppose q = 749210 + n. What is q rounded to the nearest 100000? 800000 Let w be 30/10 + 4*(-4)/(-16). Let i be (-11484007)/(-6) - 1 - w/24. What is i rounded to the nearest one hundred thousand? 1900000 Let w = 0.1069 + 883.8931. Let h = -891.13 + w. Round h to zero dps. -7 Let f = -1862.99293 + 37.20593. Let w = f - -1824. Let o = w - -0.027. Round o to zero dps. -2 Let i be -697390*(170/(-50) + 6/(-10)). Let z = i - 4849560. Round z to the nearest one hundred thousand. -2100000 Let m = 20.4 + -19. Let s = 61 - 58.2. Let d = m - s. What is d rounded to 1 decimal place? -1.4 Let j be (9 + 27)/(1/2). Let t = j - 61. Suppose -4*w + a + 71 = 0, w - t - 9 = -2*a. What is w rounded to the nearest 10? 20 Let n = 189.9691 + -190. Let x = -0.0124 - n. What is x rounded to two dps? 0.02 Let o = 12979.4513 + -12980. Round o to two dps. -0.55 Suppose 0 = 4*f + 4*p + 40576016, 4*f + 45*p = 47*p - 40575992. Round f to the nearest 1000000. -10000000 Let d = 304868 + -304868.00000179077. Round d to seven dps. -0.0000018 Let p(m) = -m**3 + 2*m**2 - 2*m + 64. Let k be p(0). Let s = k - 94. Let f be 11404/s - 8/(-60). What is f rounded to the nearest 100? -400 Let u = -37.6 - 126.8. Let c = -106 - u. What is c rounded to the nearest 10? 60 Let l = 3643 + -6807. Let n = l + 3163.2755. What is n rounded to one dp? -0.7 Suppose 292278 = 4*p + y, 5*y + 107134 = p + 34054. What is p rounded to the nearest 1000? 73000 Let t = -44167.057 - -44213. Let u = -0.057 - t. Let q = 45.725 + u. What is q rounded to 2 dps? -0.28 Suppose -n + 969 + 1837 = -2*s, 2*n - s = 5603. Let u = n + -6406. Let z = -806 - u. Round z to the nearest one thousand. 3000 Suppose 9 = 3*d - 0*d. Let f be -5 - (-3 - -2)*d - 25. Let h be -1 + 0 + 4 - (-14553)/f. What is h rounded to the nearest 10? -540 Let n be (-9)/6*(-12)/9. Let l be (-540)/30*1151668/(-6). Suppose 2*b - l = 5*i, -n*b + 1382004 = -0*i - 2*i. What is i rounded to the nearest ten thousand? -690000 Let f = 8.241 + -0.341. Let x = 7.9075 - f. Round x to 3 decimal places. 0.008 Let j = 206.29 - 550.71. Round j to the nearest ten. -340 Let v = -320 + 293.2. Let h = -145.2 + v. Let j = h - -172.000111. Round j to 5 decimal places. 0.00011 Let p = -14.51294429 + 14.513. What is p rounded to six decimal places? 0.000056 Let s = 5 + -15. Let r = s + 26. Let a = r - 15.9962. What is a rounded to three dps? 0.004 Let l = 2220 - 2219.9965464. Round l to 3 dps. 0.003 Suppose -5*o = a - 6 - 6, 2 = -o + 2*a. Suppose 4*s = -n + 202000000, s - 151500000 = -o*s + 3*n. Round s to the nearest 1000000. 51000000 Let q = -0.364895913 + 203693096.364895913. Let h = -203692862.999901 + q. Let f = 233 - h. Round f to five dps. -0.0001 Let j = 1.110013 - 1.1088. Round j to five decimal places. 0.00121 Let h(y) = y**2 - 24*y + 21. Let n be h(27). Let a be (-12)/n
{ "pile_set_name": "DM Mathematics" }
*(z - 1)**4 Let q(o) = o**2 - o - 10. Let f be q(0). Let l be 1/3 + 4*f/(-15). Suppose -104/5*u**2 + 98/5*u**4 + 0 + 28*u**l + 16/5*u = 0. What is u? -2, 0, 2/7 Let t = -17 - -30. Suppose -t = -3*y + 11. Solve y*g**3 - 2*g + 3 + 18*g**2 + 1 + 14*g - 2 = 0 for g. -1, -1/4 Let s(h) be the first derivative of -4*h**3/3 - 92*h**2 - 516*h + 346. Determine d, given that s(d) = 0. -43, -3 Let z be (225/18)/(-5) + 29/10. Factor -z*l**2 - 6/5*l + 0. -2*l*(l + 3)/5 Let f = 27 - 24. Let a(i) be the first derivative of 0*i**2 - 1 + 0*i - 1/3*i**f. Factor a(m). -m**2 Factor -1 + 3*x**2 - 4*x**2 - 12*x + 12*x + 2*x**2. (x - 1)*(x + 1) Let x(a) be the first derivative of -3/20*a**5 - 38 + 0*a - 9/16*a**4 - 3/4*a**2 + 5/4*a**3 + 1/8*a**6. Factor x(p). 3*p*(p - 1)**3*(p + 2)/4 Let z(u) be the third derivative of u**7/840 + u**6/120 + u**5/48 + u**4/48 - 49*u**2. Factor z(y). y*(y + 1)**2*(y + 2)/4 Let d = -22557 + 22557. Factor -15/4*f**2 + 27/4*f**3 + d + 21/4*f**5 - 3*f + 51/4*f**4. 3*f*(f + 1)**3*(7*f - 4)/4 Let t(n) be the second derivative of -n**6/6 - 13*n**5/2 - 70*n**4 + 65*n**3/3 + 845*n**2/2 - 3*n - 9. Factor t(s). -5*(s - 1)*(s + 1)*(s + 13)**2 Let r = 22588 - 22585. What is o in 3*o**5 + 3/2*o**r + 27/4*o**4 - 6*o**2 - 9/2*o - 3/4 = 0? -1, -1/4, 1 Let n(z) be the second derivative of 2*z**6/15 + 11*z**5/5 + 14*z**4 + 136*z**3/3 + 80*z**2 + 6*z + 3. Factor n(i). 4*(i + 2)**3*(i + 5) Find f, given that -68/21 - 64/21*f**2 + 134/21*f - 2/21*f**3 = 0. -34, 1 Let m(f) = -2*f**3. Let p(h) = -15*h**3 + 6*h**2. Let s(v) = 6*m(v) - p(v). Solve s(c) = 0. 0, 2 Let -607*f**2 + 30*f**3 - 12*f**4 + 0 - 603*f**2 + 0 - 2*f**5 + 1194*f**2 = 0. What is f? -8, 0, 1 Let g(d) be the third derivative of d**6/540 - 104*d**5/45 + 10816*d**4/9 - 8998912*d**3/27 + 653*d**2. Determine u so that g(u) = 0. 208 Factor 12*c**4 + 3*c - 15*c**4 + 116*c**3 - 107*c**3 - 9*c**2. -3*c*(c - 1)**3 Let f(q) be the second derivative of q**6/2340 - q**5/390 + q**4/156 + q**3/2 + 7*q. Let t(y) be the second derivative of f(y). Determine h so that t(h) = 0. 1 Let w(n) be the first derivative of n**4 + 32*n**3/3 + 40*n**2 + 64*n + 563. Factor w(y). 4*(y + 2)**2*(y + 4) Let y be (3/(-15))/(-2*5/(-40)*-2). Factor y*g**2 + 2/5*g**3 + 1/5*g**5 - 3/5*g + 1/5 - 3/5*g**4. (g - 1)**4*(g + 1)/5 Let u(h) = h**2 - 8*h - 29. Let r be u(11). Determine c, given that 10*c + r*c**2 + 5*c + c**3 - 13*c + c**3 = 0. -1, 0 Let q(t) be the third derivative of -t**5/240 + t**3/24 + 3*t**2 + 42. Determine w so that q(w) = 0. -1, 1 Let y = -8841/4 - -2211. Factor y*c + 1/4*c**2 - 3/4*c**3 - 1/4. -(c - 1)*(c + 1)*(3*c - 1)/4 Let f be (-24 - -16) + 2 + 2 + 6. Let g(q) be the first derivative of 26/3*q**3 + 18*q + q**4 + 5 + 24*q**f. Let g(m) = 0. Calculate m. -3, -1/2 Let z(j) = -36*j**2 + 123*j - 45. Let i(r) = -35*r**2 + 121*r - 48. Let p(g) = 3*i(g) - 4*z(g). Determine y, given that p(y) = 0. 4/13, 3 Let f(x) be the second derivative of x**4/54 + 52*x**3/9 + 750*x. Determine k so that f(k) = 0. -156, 0 Let v(q) be the third derivative of 0*q + 0*q**3 + 1/3*q**5 + 0 - 5/24*q**4 + 14*q**2. What is f in v(f) = 0? 0, 1/4 Let h(w) be the third derivative of w**5/270 + 25*w**4/108 + 8*w**3/9 - 6*w**2 - 6*w. Factor h(p). 2*(p + 1)*(p + 24)/9 Let l(w) = -w + 2. Let n be l(-2). Factor -2*o**4 + 6*o**2 - 6*o**4 + 2*o**4 + 4*o**3 + 4*o**n. -2*o**2*(o - 3)*(o + 1) Let d(h) be the first derivative of -4*h**3/21 - 9*h**2/7 + 10*h/7 - 72. Factor d(b). -2*(b + 5)*(2*b - 1)/7 Let d(n) be the first derivative of 4*n**6 - 42*n**5/5 - 9*n**4/4 + 14*n**3 - 15*n**2/2 + 200. Solve d(a) = 0. -1, 0, 1/2, 1, 5/4 Let g(w) be the third derivative of 0 + 0*w + 3/56*w**4 - 1/280*w**6 - 19*w**2 - 1/7*w**3 + 0*w**5. Factor g(s). -3*(s - 1)**2*(s + 2)/7 Factor -24/7 + 2/21*h**2 - 10/21*h. 2*(h - 9)*(h + 4)/21 Let x(u) = u**3 - u**2 - u - 1. Let h(r) = -4*r**3 - 7*r**2 + 50*r - 49. Let c(q) = -3*h(q) - 15*x(q). Find i such that c(i) = 0. 3, 6 Let l(w) be the first derivative of -w**6/480 + w**5/40 - 3*w**4/32 + 6*w**3 - 12. Let s(y) be the third derivative of l(y). Factor s(r). -3*(r - 3)*(r - 1)/4 Factor 8/3*v + 1/3*v**3 - 4/3 - 5/3*v**2. (v - 2)**2*(v - 1)/3 Let k(r) = -r**3 - r**2 + 4*r + 1. Let q = 9 - 12. Let d be k(q). Factor -6*u + 5*u**5 + 9*u**2 - 2*u**5 - 4*u**3 + d*u**3 - 9*u**4. 3*u*(u - 2)*(u - 1)**2*(u + 1) Suppose 0 = 5*r + 81 - 101. Let s(z) be the second derivative of 0 + 1/42*z**r - 1/7*z**2 - 1/42*z**3 + 1/140*z**5 + 5*z. Let s(d) = 0. Calculate d. -2, -1, 1 Let r = -48 + 50. Let x(z) be the third derivative of 0 - 1/36*z**4 - 1/60*z**6 + 1/30*z**5 + 1/315*z**7 - z**r + 0*z**3 + 0*z. Let x(v) = 0. What is v? 0, 1 Let r(n) = 9*n**2 - 91*n + 252. Let s(l) = -3*l**2 + 30*l - 84. Let k(h) = -3*r(h) - 8*s(h). Determine j, given that k(j) = 0. 4, 7 Let p(z) = z**3 - z**2 - z - 1. Let r = 4 - -21. Let c be (10/r)/(4/10). Let a(n) = 6*n**3 - 14*n**2 - 8*n. Let t(l) = c*a(l) - 8*p(l). Factor t(f). -2*(f - 1)*(f + 2)**2 Suppose -133 = 4*q - 8*q + o, -2*q + 70 = -4*o. Let 2*a - 66*a + 12 + 33*a**2 - 41*a + q*a = 0. Calculate a. 2/11, 2 Let d(a) be the first derivative of -a**4 + 6*a**2 - 17*a + 10. Let f(g) = g**3 - 3*g + 4. Let j(l) = 2*d(l) + 9*f(l). Factor j(y). (y - 1)**2*(y + 2) Let 189*z**2 - 140*z**3 + 10*z**3 + 160 + 163*z**2 - 440*z + 28*z**2 + 15*z**4 = 0. Calculate z. 2/3, 2, 4 Let l = 5 - -12. Suppose -3*k = -3, 2*m + k + 4 - l = 0. Suppose 6*t + 2*t**2 - m*t + 4*t**3 + 0*t + 2*t**4 = 0. What is t? -1, 0 Let t be ((-42)/(-9))/((-10)/15). Let i be (-8)/(-2)*t/(-126). Suppose 8/9*k**5 + 4/9*k**3 - 2*k**4 + i + 16/9*k**2 - 4/3*k = 0. Calculate k. -1, 1/4, 1 Let g(m) be the third derivative of m**9/80640 - m**8/8960 + m**7/2240 - m**6/960 + m**5/10 - 4*m**2. Let z(c) be the third derivative of g(c). Factor z(l). 3*(l - 1)**3/4 Let h(q) be the third derivative of 3/40*q**6 + 0*q**4 + 1/112*q**8 - 3/70*q**7 + 0 - 1/20*q**5 + 13*q**2 + 0*q**3 + 0*q. Find w such that h(w) = 0. 0, 1 Let h = -9657 - -144857/15. Factor 0 - h*i + 2/5*i**3 - 4/15*i**4 + 0*i**2. -2*i*(i - 1)**2*(2*i + 1)/15 Suppose 55 = 50*p - 95. Factor 10/11*g**p + 0*g - 2/11*g**4 + 0 + 0*g**2. -2*g**3*(g - 5)/11 Let t(b) be the second derivative of -2/3*b**3 - 4/5*b**5 + 0 - 5/3*b**4 - 16*b + 0*b**2. What is m in t(m) = 0? -1, -1/4, 0 Let i = -4723 + 4733. Find h such that -10*h**4 + 0 + 5/2*h + 15*h**3 + 5/2*h**5 - i*h**2 = 0. 0, 1 Let u(w) be the first derivative of -2*w**5/15 + 3*w**4/2 - 6*w**3 + 9*w**2 - 7. Factor u(r). -2*r*(r - 3)**3/3 Let b(w) be the second derivative of 5*w + 0 + 0*w**3 - 7/60*w**5 + 1/12*w**4 + 2*w**2. Let a(n) be the first derivative of b(n). Let a(t) = 0. Calculate t. 0, 2/7 Let g(v) = v + 10. Let k be g(-6). Suppose b - 2*d - 4 = k, 0 = 5*b + 3*d + 12. Factor -1/4*u**2 - 3/4*u + b. -u*(u + 3)/4 Let v(m) be the first derivative of m**5/20 - 87. Let v(t) = 0. What is t? 0 Let b(t) be the second derivative of 1/84*t**4 + 0 + 1/140*t**5 + 0*t**2 - 1/210*t**6 - 20*t - 1/42*t**3. Factor b(s). -s*(s - 1)**2*(s + 1)/7 Let z = -35 + 38. Let d(m) = -m + 6. Let u be d(z). Factor 2/5*t**u - 2/5*t + 2/5*t**2 - 2/5. 2*(t - 1)*(t + 1)**2/5 Let w(z) = -5*z**2 - 1211*z + 4. Let v(s) = 60*s**2 + 14540*s - 50. Let x(u) = 2*v(u) + 25*w(u). Factor x(l). -5*l*(l + 239) Let o(i) be the first derivative of 2*i**5 + 25*i**4/4 - 25*i**2/2 - 10*i + 94. Let o(z) = 0. What is z? -2, -1, -1/2, 1 Let v(i) be the first derivative of -1/80*i**5 + 1/24*i**3 + 1 + 3*i - 1/48*i**4 + 1/8*i**2. Let d(p) be the first derivative of v(p). Solve d(k) = 0. -1, 1 Let a = 236/445 - 58/445. Let o = 3 - 3. Determine y, given that 1/5*y**5 - a*y**3 + 0*y - 1/5*y**4 + 0*y**2 + o = 0. -1, 0, 2 Suppose -3*z - g - 3*g = -2, 3*z = 3*g + 9. Let w(o) = -8*o**2 + 9*o + 12 - 5 + z. Let x(j) = j - 1. Let y(i) = w(i) + 5*x(i). Factor y(h). -2*(h - 2)*(4*h + 1) Suppose 3*p = 2*d - 33 - 5, -4*d = -3*p - 46. Let c = 12 + p. Factor 4*y - 3 - 6*y**2 - 3*y**4 + c + 0 + 4*y**3 + 2*y**4. -(y - 1)**4 Let i be (2/1 + 8)/(-2). Let v(j) = -j - 1. Let f be v(i). Factor 8*w + 3*w**3 + f + 45*w**2 + 16*w + 22*w**3. (w + 1)*(5*w + 2)**2 Let v(z) be the second derivative of 0*z**2 + 3/80*z**5 + 10*z - 1/56*z**7 + 3/16*z**4 - 3/40*z**6 + 0 + 0*z**3. Solve v(h) = 0 for h. -3, -1, 0, 1 Let z = 3 + 1. Suppose 63 + 69
{ "pile_set_name": "DM Mathematics" }
nded to the nearest one hundred? 30000 Round -2793748.8 to the nearest one hundred thousand. -2800000 Round 211989800 to the nearest one million. 212000000 What is -187329.3 rounded to the nearest ten thousand? -190000 Round 0.0002100161 to 5 dps. 0.00021 What is -908.21 rounded to the nearest one hundred? -900 What is -351115.2 rounded to the nearest ten thousand? -350000 What is -23948.4 rounded to the nearest 10000? -20000 Round 26647.06 to the nearest ten. 26650 What is 50.397547 rounded to 0 decimal places? 50 What is -0.0006429 rounded to five dps? -0.00064 Round 132.83708 to two dps. 132.84 What is -176.3561 rounded to the nearest ten? -180 Round -11605.58 to the nearest 1000. -12000 Round -252.7929 to the nearest 10. -250 What is -403349950 rounded to the nearest one million? -403000000 What is -432.212 rounded to the nearest one hundred? -400 What is 2826523000 rounded to the nearest one million? 2827000000 Round -33.6013 to the nearest ten. -30 Round -0.0264523 to 2 decimal places. -0.03 Round 85.1743 to zero decimal places. 85 Round 137.5075 to zero decimal places. 138 What is -18625200 rounded to the nearest ten thousand? -18630000 Round -2350.56 to the nearest ten. -2350 Round 0.00060652041 to 5 dps. 0.00061 What is 1222912 rounded to the nearest 100000? 1200000 Round -90581 to the nearest ten thousand. -90000 Round -0.000569246 to 4 decimal places. -0.0006 Round 291553100 to the nearest one hundred thousand. 291600000 What is -74568520 rounded to the nearest 1000000? -75000000 What is -36.281035 rounded to 1 dp? -36.3 Round 101612400 to the nearest one million. 102000000 Round -0.0000870898 to five decimal places. -0.00009 What is 295808 rounded to the nearest one thousand? 296000 Round -0.3127464 to 3 dps. -0.313 What is 0.000003112 rounded to five decimal places? 0 Round 0.122592 to one decimal place. 0.1 What is -84063000 rounded to the nearest 1000000? -84000000 What is 112.2178 rounded to one dp? 112.2 What is 0.0000000557178 rounded to 7 dps? 0.0000001 Round 17.777406 to 0 decimal places. 18 What is -0.000872765 rounded to four dps? -0.0009 What is 0.01505788 rounded to 3 dps? 0.015 Round 0.00002157154 to seven decimal places. 0.0000216 What is 0.698541 rounded to two decimal places? 0.7 What is 0.00273317 rounded to five dps? 0.00273 What is -0.00056211 rounded to six decimal places? -0.000562 What is -26331538 rounded to the nearest 1000000? -26000000 What is -0.0027860905 rounded to three dps? -0.003 Round -29.73117 to two dps. -29.73 Round -0.0000855969 to five decimal places. -0.00009 Round -169086000 to the nearest one million. -169000000 What is 360730 rounded to the nearest ten thousand? 360000 Round 0.00023143963 to 7 decimal places. 0.0002314 What is -0.000000343684 rounded to 7 dps? -0.0000003 Round -9730.498 to the nearest ten. -9730 What is -6318.79 rounded to the nearest one hundred? -6300 What is 201844000 rounded to the nearest one million? 202000000 Round -152.8205 to the nearest 10. -150 What is 0.15482906 rounded to 4 dps? 0.1548 What is -5452783 rounded to the nearest 100000? -5500000 What is -51.5684 rounded to the nearest 10? -50 What is 4972.286 rounded to the nearest 10? 4970 What is -24.0201 rounded to one decimal place? -24 Round -5914616 to the nearest 10000. -5910000 What is 0.00008284499 rounded to 7 dps? 0.0000828 Round -179.9265 to the nearest integer. -180 Round 0.01897462 to 4 dps. 0.019 What is -0.06780246 rounded to four dps? -0.0678 What is -0.000000595008 rounded to 7 decimal places? -0.0000006 Round -680356.1 to the nearest one thousand. -680000 Round 0.009991249 to six dps. 0.009991 What is 0.00239199 rounded to four decimal places? 0.0024 Round 0.000106031 to 5 dps. 0.00011 Round -0.6690615 to 2 decimal places. -0.67 What is 0.41862 rounded to three dps? 0.419 Round 12671500 to the nearest 10000. 12670000 Round -33258.09 to the nearest ten. -33260 What is 0.022328 rounded to two dps? 0.02 Round 26625.1 to the nearest ten thousand. 30000 Round -61.5404 to the nearest 10. -60 What is 48845.8 rounded to the nearest 1000? 49000 Round 0.0095331 to 2 dps. 0.01 Round 0.1334664 to two decimal places. 0.13 Round -359480.2 to the nearest 1000. -359000 What is 0.006658621 rounded to 3 dps? 0.007 Round 0.0000008798672 to seven dps. 0.0000009 Round 32.156683 to the nearest integer. 32 What is 3097.175 rounded to zero decimal places? 3097 Round -0.00000349796 to 7 dps. -0.0000035 Round 169.2404 to the nearest 10. 170 What is -58.738717 rounded to zero decimal places? -59 Round 13.7845 to the nearest integer. 14 Round 92490.8 to the nearest one thousand. 92000 What is -2.834773 rounded to the nearest integer? -3 Round 0.1117952 to 4 dps. 0.1118 Round -26.252991 to 0 decimal places. -26 Round -1.099073 to 2 dps. -1.1 Round 0.000554931 to five decimal places. 0.00055 What is 0.3410789 rounded to 1 decimal place? 0.3 What is 0.00336989 rounded to 5 decimal places? 0.00337 What is 17.6477 rounded to 1 decimal place? 17.6 Round -0.0000606129 to 7 decimal places. -0.0000606 Round 0.000002369273 to 6 decimal places. 0.000002 What is -0.00544201 rounded to four decimal places? -0.0054 What is 122641.96 rounded to the nearest 10000? 120000 Round 7001.241 to the nearest one thousand. 7000 Round -2432.554 to the nearest integer. -2433 What is 517628.3 rounded to the nearest one thousand? 518000 What is 33764.261 rounded to the nearest one hundred? 33800 Round -104271.301 to the nearest one hundred. -104300 Round -0.13589201 to three dps. -0.136 Round 0.004341839 to three decimal places. 0.004 Round -2735780 to the nearest ten thousand. -2740000 Round -0.0002913209 to seven dps. -0.0002913 Round 61.443877 to one dp. 61.4 Round 1317.05 to the nearest ten. 1320 Round -0.01801679 to 5 decimal places. -0.01802 What is 0.689711 rounded to 3 dps? 0.69 What is 25237.133 rounded to the nearest 100? 25200 Round 0.0000327146 to five dps. 0.00003 What is -6204209 rounded to the nearest 100000? -6200000 What is 3454.567 rounded to the nearest integer? 3455 Round -0.619079 to 4 dps. -0.6191 Round 341.686 to zero decimal places. 342 Round -1462284.6 to the nearest 1000. -1462000 What is -0.00540141 rounded to four dps? -0.0054 What is 0.00000612776 rounded to seven dps? 0.0000061 Round 0.10522132 to five dps. 0.10522 Round -1154.8 to the nearest 100. -1200 Round -0.00731153 to three decimal places. -0.007 What is -0.01821983 rounded to 3 dps? -0.018 Round 15571.2 to the nearest 1000. 16000 What is -19886890 rounded to the nearest ten thousand? -19890000 What is -2.7405706 rounded to three decimal places? -2.741 Round 63.6433 to 0 dps. 64 Round -13433.139 to the nearest integer. -13433 Round -3.9895754 to 3 decimal places. -3.99 What is 300923.4 rounded to the nearest 10000? 300000 What is -1270.34 rounded to the nearest 10? -1270 Round 0.000106385 to four decimal places. 0.0001 What is 0.000653706 rounded to 5 dps? 0.00065 What is 8708351000 rounded to the nearest one million? 8708000000 What is -20234480 rounded to the nearest 100000? -20200000 What is 3868794000 rounded to the nearest one million? 3869000000 What is 3460230 rounded to the nearest one hundred thousand? 3500000 Round 35576.75 to the nearest 100. 35600 Round 0.0000135224 to seven decimal places. 0.0000135 Round -17764.26 to the nearest one thousand. -18000 Round -0.07234749 to three decimal places. -0.072 Round 783.24684 to the nearest integer. 783 What is -1986650 rounded to the nearest one million? -2000000 Round 464913.67 to the nearest 100000. 500000 What is -38420.38 rounded to the nearest ten? -38420 What is -0.0116538 rounded to 4 decimal places? -0.0117 Round 0.00006231 to four decimal places. 0.0001 Round 0.646616 to three dps. 0.647 What is -42777.5 rounded to the nearest one hundred? -42800 Round 270358.7 to the nearest 100000. 300000 Round -0.004159915 to four dps. -0.0042 Round 0.05633357 to 4 dps. 0.0563 What is -1395700 rounded to the nearest 1000? -1396000 What is 1168062.8 rounded to the nearest one thousand? 1168000 What is 181145000 rounded to the nearest 1000000? 181000000 Round -0.000278506 to five dps. -0.00028 What is 0.00082748 rounded to three dps? 0.001 Round 138058.59 to the nearest one thousand. 138000 Round -0.000000955369 to
{ "pile_set_name": "DM Mathematics" }
press -4 - 50*x + 2 + 4*x**2 + 47*x + 2*x**3 + 0 in the form w*x + q*x**3 + j + o*x**2 and give w. -3 Rearrange (y**2 - 4*y**2 + 2*y**2)*(-1 - 3 + 5) - 25*y**2 - 429*y + 429*y + (5*y - 4*y - 3*y)*(-4 - 2*y + 4) to i*y**2 + x + z*y and give i. -22 Express (3 + r - 3 + (2 + 1 - 4)*(3*r - 4*r + 0*r) + 0*r + 2*r - r)*(635 + 663 + 352) as u + y*r and give y. 4950 Express ((-g + 5*g - 3*g)*(-7 - 4 + 5) + g + g - g)*(-3 + 7 + 4)*(-8 + 7 + 11) in the form a*g + c and give a. -400 Express -7*a**3 + 3*a**3 - a + 2*a**2 + 3*a**3 + 18 + 4 - a**3 as g*a**3 + s*a + k + z*a**2 and give k. 22 Express 4*i**3 - 44 + i - 38 - 39*i**4 + 83 + 0*i**3 as n*i**3 + t*i**4 + j + p*i + f*i**2 and give j. 1 Express (-237 + 3*q - 6*q + 245)*(4 + 3 - 5)*(-3 - 8 - 6) as y*q + o and give y. 102 Rearrange 3*j**4 - 2*j - 2*j**2 - 2*j**2 + 11*j**3 - 13*j**3 to the form w*j**2 + v*j**4 + u + h*j**3 + m*j and give v. 3 Express (-z**3 - 11*z**3 - 21*z**3)*(-22*z - 4*z - 2*z) as a*z**2 + m*z + x + n*z**4 + j*z**3 and give x. 0 Express (0 + 3 - 2)*(-5 + 2 + 1)*(20*z - z - 17*z + 60*z**2) as i + t*z**2 + g*z and give t. -120 Express -1149 + 88*v**2 - 4*v + 1153 + 3*v in the form m + g*v**2 + j*v and give m. 4 Rearrange (-17*j - 10*j + 2*j)*(1 - 1 - 1) + (-10*j - 2*j - 8*j)*(-2 - 1 + 0) to h*j + c and give h. 85 Express (15*m**3 - 176*m**3 - 37*m**3)*(-3 + 4 + 1)*(-3 + 5 - 1) as q*m**3 + a + x*m + v*m**2 and give q. -396 Rearrange (-s**2 - 2*s**2 + s**2)*(-1 - 2 + 5) + (-3 - 9*s + 3)*(9*s - 12*s + 11*s) to the form j*s + u*s**2 + b and give u. -76 Rearrange 1661*u + 758*u - 504*u to j*u + x and give j. 1915 Rearrange (-3*s - s + 2*s)*(-521*s**3 + 3794*s**2 - 3794*s**2) to a*s**2 + w*s**3 + n*s**4 + r*s + u and give n. 1042 Rearrange 1089*h**2 + 5*h**4 + 7*h**3 - 1092*h**2 - 8*h**3 to i*h**4 + z*h + k*h**2 + j + s*h**3 and give z. 0 Rearrange -5*l**2 + l**4 + 54*l**3 + 0*l - l - 17*l**3 - 5*l**2 - 28*l**3 to the form q*l**3 + b*l + z + x*l**4 + m*l**2 and give x. 1 Rearrange -2*q - 5*q**3 - 7*q**3 - 25*q**3 - 5*q**3 - 2*q**4 - 1 to the form u*q**3 + d*q + y + k*q**2 + i*q**4 and give i. -2 Rearrange 0*r**2 + 6 + 11*r**3 - 10*r**3 - 4*r**3 + 2*r**4 - 4*r**3 - 2*r**2 to the form y*r**4 + m*r**2 + u + d*r + j*r**3 and give u. 6 Rearrange 6773*q**2 - 1 + 0 - 6878*q**2 to j*q + w*q**2 + m and give m. -1 Rearrange 5*a**3 - 15*a**2 - a**4 + 9*a**2 - 3*a + 0*a + 8*a - 4*a**3 to o*a**4 + u + d*a + w*a**3 + i*a**2 and give w. 1 Express -524*g**3 + 423*g**3 - 35 + 35 - g in the form t*g**2 + d + y*g + h*g**3 and give d. 0 Rearrange (844 + 1394 + 962)*(-j**2 + 3*j**2 + 0*j**2) to the form l + n*j + b*j**2 and give b. 6400 Rearrange (-3*f + 2*f + 0*f)*(134 + 4 + 59)*(-f + 0*f - f) + 0*f**2 - f**2 + 2*f**2 to v + m*f**2 + u*f and give m. 395 Express -48*i + 4*i - 6*i - 80*i as k*i + z and give k. -130 Express 109 - 18*w**3 - 77 + 16*w**3 as v*w**2 + r*w + h*w**3 + g and give g. 32 Express g**2 - 204 + 732 + g**2 - 357 as k*g + c*g**2 + u and give u. 171 Rearrange -36*h**2 + 90647 - 90654 - 7*h**2 to y*h + z*h**2 + w and give z. -43 Express -13*m**3 + 11*m**3 - 1 - 2*m**2 - 2*m + 4*m + 3*m**4 in the form d*m + k*m**2 + c*m**3 + q + p*m**4 and give p. 3 Rearrange -8224*z + 3 + 8149*z - 1 to q + o*z and give q. 2 Rearrange (51178 - 51178 - 107*o)*(-o - o - o) to t*o + c + r*o**2 and give r. 321 Rearrange -12 + 12*m**4 + 5*m**2 - 16*m**3 + 8*m**4 + 8 - 4*m**3 - 19*m**4 to o*m**4 + j + n*m**2 + s*m**3 + c*m and give n. 5 Rearrange -41*c**2 + 57*c**2 - c + 1 - 8*c**2 + 95*c**2 + 77*c**2 to n*c**2 + y + z*c and give n. 180 Express -293 + 256*x**2 + 293 as f + o*x + m*x**2 and give m. 256 Express (-3 + 0 - 4)*(-2*s + 3*s - 11768 + 11749 - 4*s**2) in the form t*s + o + x*s**2 and give x. 28 Rearrange j**2 - 1 + 244*j**4 + 2 - 243*j**4 - 3 - 4*j to the form c + q*j**4 + k*j**3 + d*j + p*j**2 and give d. -4 Express 52*c + 101*c + 118*c - c + 3*c in the form p*c + a and give p. 273 Rearrange 6*v + 3 - v**3 - 11*v**3 - 5 + 9*v**3 to the form a*v**2 + j*v + m*v**3 + k and give m. -3 Rearrange 37 + 36 + 65*j - 3 + 68*j - 137*j to the form o*j + m and give o. -4 Rearrange -5*a**2 + 0*a**2 + 2*a**2 + (-2*a - a + 5*a)*(a - 2*a - a) - a**2 - 6*a**2 - 12*a**2 to the form i*a + s*a**2 + f and give s. -26 Express (-22*j + 22*j - 24*j**2)*(1 - 3 + 0)*(25*j - 6*j + 2*j) in the form v + w*j**3 + g*j + x*j**2 and give w. 1008 Rearrange ((2*b - 2*b + 2*b)*(-b + 2*b + b) - 17*b**2 + 7*b**2 - 3*b**2)*(-2 + 12 - 1)*(-3*b - b + 9*b) to i*b**3 + n*b**2 + l*b + s and give i. -405 Rearrange 2 + 65*w + 3 - 76*w to the form l*w + c and give c. 5 Express (6*m**2 - m**2 + 0*m**2)*(3*m - 3*m + m + (m - 3*m + 3*m)*(120 + 114 - 229)) as w*m + r*m**2 + s + y*m**3 and give y. 30 Express 145*j**2 - 99*j**2 + j + j - 4*j in the form v*j + q + y*j**2 and give y. 46 Express 20 + s**2 + 19787*s**4 - 19786*s**4 - 68 in the form n*s**4 + l*s + i*s**3 + b*s**2 + k and give b. 1 Express 3*p**2 + 55*p**3 + 2 - 96*p**3 + 44*p**3 - 2*p**2 + 2*p**4 in the form o*p**2 + x*p**4 + i*p + u*p**3 + h and give u. 3 Rearrange (-4 - 3 + 6)*((-27*v - 6*v - 50*v)*(1 + 1 - 4) + 2*v + v - 2*v) to l + k*v and give k. -167 Express 5*a + 298*a**3 - 9*a**3 - 3*a - 27 + 27 in the form o*a**3 + f + b*a**2 + q*a and give o. 289 Rearrange 2*r**4 + 3*r**2 + 10 - 2 + 11*r**3 + 12*r**3 - 7 to u*r + z*r**4 + a*r**3 + x*r**2 + i and give a. 23 Rearrange -52*b - 1670 - 2376*b + 1670 to the form n*b + h and give n. -2428 Express 3417 - 2*l + 72*l - 3422 in the form d*l + c and give c. -5 Rearrange (67*g**3 - 65*g**3 + 2*g + 7 - 3)*(-21*g + 18*g + 22*g) to the form d + v*g + y*g**3 + q*g**4 + a*g**2 and give a. 38 Rearrange 36*f**2 - 93*f**2 + 8*f**3 + 8 + 25*f**2 + 34*f**2 to the form q*f**3 + w*f**2 + c + j*f and give j. 0 Rearrange -h - h**4 + 165*h**2 - 3 + 165*h**2 - 332*h**2 to the form m + y*h**3 + c*h**4 + u*h**2 + b*h and give c. -1 Rearrange 4373*t**2 + 18*t + 4373*t**2 - 8746*t**2 - 2*t**4 + 0*t**4 - 22*t**3 to the form n*t + o*t**3 + y + d*t**2 + r*t**4 and give d. 0 Rearrange 156*c + 164*c - 37*c + 170*c - 25*c to h*c + z and give h. 428 Express (-3*z - 3*z + 4*z)*(-2 + 2 + 1)*(24*z - z - 3*z) in the form t*z**2 + k + y*z and give y. 0 Express -3*q**2 + 0*q + 0*q + (0*q + 2*q - 3*q)*(-693*q - 11717 + 11717) as w*q**2 + i + c*q and give w. 690 Rearrange 203*q + 9778 - 9778 + (-1 - 2 + 2)*(3*q + q - 2*q) to r*q + u and give r. 201 Rearrange 1 - 284*a - 3 - 5 - 2 + 6 to the form m + h*a and give m. -3 Rearrange 4 - 11 + 10 + 2*u + (u + 0 + 0)*(-4 + 1 + 5) + 22 + 7*u - 22 to h + z*u and give z. 11 Express -x + 0*x + 2*x + (1 - 2*x - 1)*(3 - 5 + 1) + 192*x + 288*x - 164*x in the form m*x + p and give m. 319 Express (0*j**2 - j**2 + 0*j**2)*(3 + 50*j**2 + 13*j**2 + 0) + 0 - 2*j**4 + 0 in the form g + q*j**4 + y*j**3 + f*j + r*j**2 and give r. -3 Express -56*q - 41 + 24*q + 39*q as m*q + t and give m. 7 Express (-1 + 1 - 1)*(6*x**3 + 86*x**3 + 14*x**3) - 3*x**3 - x**3 + 6*x**3 + (x**3 + x - x)*(1 + 0 + 1) as h*x + u + g*x**2 + q*x**3 and give u. 0 Rearrange 2 - 695*o**2 + 1399*o**2 - 800*o**2 to h*o + k + m*o**2 and give k. 2 Rearrange -1231*k**4 + 612*k**4 + 629*k**4 + (0*k + 0*k - 2*k**3)*(k + 2 - 2) to the form z*k**4 + p*k + h + g*k**3 + f*k**2 and give z. 8 Express -10 - 14*q**2 + 9 + 18*q**2 + 2*q - 5*q**2 - 22*q**3 in the form y + u*q + x*q**3 + k*q**2 and give u. 2 Rearrange -1181*j**2 + 3 + 2366*j**2 - 3*j + 3*j**3 - 1183*j**2 to b*j**3 + d*j + w + s*j**2 and give s. 2 Express (9 - 31 - 5)*(3*x**2 - 2*x**2 - 12*x**2) as n + q*x + w*x**2 and give w. 297 Express -41879 + 41879 - 168*g in the form a + k*g and give k. -168 Express (3*g**2 + 2*g**2 + g**2)*(4 - 5 - 1)*(30*g**2 - 54*g**2 - 64*g**2) in the form l*g**2 + z*g**4 + c + j*g + n*g**3 and give n. 0 Rearrange 66*s**2 - 12 - 8 - 16 + 39 to the form f*s + z + r*s**2 and give r. 66 Express (1 + 3*h - 1)*((3 + 4 - 3)*(4*h - 3*h + h) - 3 - h + 3) as z*h + f + o*h**2 and give o. 21 Rearrange -2*x**2 - 32*x - 112*x - 3 + 3 to k*x + y*x**2 + i and give k. -144 Rearrange -2852 - 14*o**3 - 10*o**2 + 2852 to the form i + v*o**2 + f*o + p*o**3 and give p. -14 Express -s**2 - 216*s + s**2 + 2 + 217*s - 109*s**4 in the form l*s**3 + g*s**4 + t*s + o*s**2 + i and give g. -109 Rearrange 4 - 72 + 5 - 2*j to a + z*j and give z.
{ "pile_set_name": "DM Mathematics" }
*-5)/6))/(-4*5/(-150)). 24 What is the value of (6/(-114))/((-306)/5814)? 1 Calculate ((-2)/7)/(-3*(-32)/(-1176))*(-1116)/(-63). 62 Evaluate ((-71)/((-2130)/360))/54. 2/9 Evaluate (-23112)/(-2889)*1*-2. -16 (-168)/(-6)*6*77/(-308) -42 Calculate (480/(-36))/(-8)*183/(-15860). -1/52 Evaluate (-4*6/7)/((-107)/59920*-40). -48 ((-1050)/(-60))/(25/30) 21 What is the value of 14*4*((-22428)/(-17088))/(6/8)? 98 What is (-10*(-7)/210*-24)/((-5)/((-120)/(-6)))? 32 What is (63/6048)/(4/(-16)*6/(-3))? 1/48 1*-6*-48*(-36)/768*8/6 -18 What is 3696/(-99)*26/((-728)/(-42))? -56 What is 5145/(-196)*-20*20/(-250)? -42 Evaluate (39/105)/(435/5075). 13/3 What is the value of (-24)/(-55)*20*(-30)/(-24)*(-316)/790? -48/11 What is ((28/1015)/((-238)/119))/(2/(-10))? 2/29 What is 450/540*272/20*3/(-2)? -17 ((-18)/(-10))/(32562/42210) 7/3 Evaluate (-7692)/1282*(-3)/(-198). -1/11 Calculate 34125/(-1750)*-2*20/26. 30 2/(4/(-30)*(-1425)/(-513)) -27/5 Evaluate 11/33*4/(-9)*3. -4/9 Calculate (10/(-24))/(2060/1236). -1/4 What is (1/(-35))/((-1776)/(-2072))*(-1)/(-1)? -1/30 Evaluate 18/(-81)*-18*(8/(-216))/(2/24). -16/9 (-1*1/22)/((-32)/(2432/513)*-1) -2/297 (-3)/((-5)/188*10/(-30)*270/(-75)) 94 Evaluate ((-55)/(-33)*(-6)/(-20)*3)/((-280)/(-1680)). 9 4/((-256)/12)*(14904/(-27))/46 9/4 ((-25)/(-2))/5*5712/(-280) -51 Calculate ((-88)/(-24))/(((-78)/39)/(90/175*5)). -33/7 Calculate (5/(2*10/(-100)))/(39/(-13)). 25/3 Evaluate ((-56)/(-2800)*100)/((-15)/9*6/(-4)). 4/5 What is the value of -2*(5480/(-1440))/137? 1/18 Evaluate (-304)/(-760)*-49*(-10)/7. 28 Evaluate ((-462)/(-2079))/((-40)/(-42))*(-10)/(-28). 1/12 What is (178/(-1157))/((-7)/364)? 8 Calculate (-160)/(-40)*-2*(-2)/64*-148. -37 What is the value of (60/378)/(((-20)/1440)/((-9)/18))? 40/7 ((-420)/(-180))/((-21)/(-54))*3*70/63 20 Evaluate ((-285)/(-6555))/((-3)/(-3450)). 50 What is ((2/25)/(520/(-23400)))/(3/(-25))? 30 What is 2/(-40)*-4*72/27*6/4? 4/5 What is the value of (-1*5/(10/(-19)))/((-116)/232)? -19 What is ((-11)/(330/(-168)))/(((-102)/(-15))/(-34))? -28 Evaluate (-32)/(-5)*30/420*35. 16 (-242)/(-847)*(-33572)/88 -109 What is the value of 25*((-3276)/(-56))/(-39)*4/(-5)? 30 What is the value of (((-468160)/1496)/(-152))/(((-48)/(-68))/2)? 35/6 (-39*(-31)/6045)/((-4)/35) -7/4 ((-7146)/(-5955))/((-81)/(-126)*(-7)/(-60)) 16 Calculate (-22)/(-8)*(-36)/(-66)*(4928/(-21))/(-8). 44 Evaluate (-11)/((-33)/((-19404)/(-56))*9/6). 77 75*(-10)/300*(-4)/(-105) -2/21 Calculate 21*(-84)/(-392)*92/(-18). -23 Calculate (-114)/(-8)*608/5244*23. 38 Evaluate 4*(-1)/((-2)/(-12)*63/210*-4). 20 What is (((-7)/(-4))/(2/(-80)*2030/(-2842)))/(-2)? -49 ((-4)/(672/(-18)))/(((-1820)/(-637))/(-5)) -3/16 (-138)/(-8)*((-112)/(-35))/((-342)/285) -46 1/(-1*(3/(-4))/(321/107)) 4 What is the value of (-11)/(66/(-27))*676/507? 6 ((-41645)/33316)/(1/48) -60 What is 52/(-5)*((-6)/18)/((-21)/((-2835)/12))? 39 Calculate ((-6370)/8820)/((-234)/(-4158)). -77/6 Evaluate (((517/188)/((-1)/(-4)))/1)/((-1)/9). -99 What is (-65)/(-320450)*-40*34/(-12)? 2/87 ((-17)/((-37230)/(-120)))/(2/(-8)*(-16)/2) -2/73 Calculate 2*1*8*(-20931)/(-41862). 8 Evaluate (10/4)/(((-40)/36)/(1100/(-6325))). 9/23 Calculate ((-396)/1980)/((-3)/(-405)). -27 What is the value of 12/(-9)*1*-225*81/(-32400)? -3/4 What is ((78/(-1755))/(374/(-765)))/(4*(-21)/(-22))? 1/42 Evaluate (297/(-99))/((-27)/(-5)). -5/9 (111/222)/((-7)/42)*((-82)/6)/1 41 What is (-39050)/(-7100)*(-68)/(-11)? 34 Calculate (-339)/(73563/434)*(3/(-133))/(-3). -2/133 Evaluate (-30)/(-660)*(-70950)/75. -43 ((-5)/30)/(28/420)*88/10 -22 Evaluate ((-3885)/630)/(((-1)/9*2)/((-56)/42)). -37 What is the value of (616/7)/(6352/(-1588))? -22 Calculate ((-324)/(-99))/(15/150*-20). -18/11 What is (12/14)/(88/(-154))*((-2255)/41)/(-15015)? -1/182 185*3/12*14520/(-9075) -74 What is the value of ((-224768)/252864)/(4/9)? -2 Evaluate (-2628)/(-481800)*28/(-21). -2/275 Evaluate -1*6/(-12)*-6*11/(-19470)*-10. -1/59 Calculate ((-869)/2607)/(1/(6*-1))*18/(-24). -3/2 2358/42182*851*(-14)/6 -111 Evaluate (((-735)/(-9))/(-49))/((-1380)/648). 18/23 What is ((-108)/(-243))/(8/258)*(-198)/66? -43 Calculate ((-11)/((-5544)/27)*4)/(3/(63/2)). 9/4 Calculate ((-228)/14)/(7300/25550). -57 What is the value of ((-50800)/300)/127*(-90)/84? 10/7 Evaluate (6328/565)/((-28)/60). -24 What is the value of ((-1)/(-30))/((-24)/171072*-44*-6)? -9/10 Calculate (48/(-18))/4*291/3589. -2/37 What is (5/15)/(((-150)/2160)/(20/6))? -16 What is (20237/11564)/((-1)/20)? -35 Calculate ((-888)/(-68))/(351/1989). 74 What is the value of ((-57)/4)/((416/128)/13)? -57 Evaluate ((-2)/4)/(9128/(-57376)). 22/7 What is the value of (48/(-168))/((68*-1*(-4)/(-8))/7)? 1/17 What is the value of (-64724)/226534*7/(-2)*4/(-278)? -2/139 What is the value of ((160/(-1350))/(-2))/((-96)/(-40))? 2/81 ((-1880)/((-1260)/63))/(2/(-2)) -94 What is the value of 8*((-3)/(-72)*-1)/(246/(-369))? 1/2 Evaluate 0*-4*(-8)/64*(-3)/((-81)/(-9)). 0 51*(2496/544)/26 9 What is (12/2)/((-1)/(-12)*20808/7514)? 26 Calculate ((-1708)/42)/((-1)/2*6/(-90)*-10). 122 5/65*(0/17)/(-15) 0 ((-98*114/(-2793))/((-4)/213))/(3*1) -71 What is the value of (19/4)/((-27)/(3348/31))? -19 What is (-2)/(-123)*(-19)/(475/(-25))*-3? -2/41 What is 12/(12420/(-15))*41/((-328)/48)? 2/23 Evaluate (-20)/(-6)*(-253)/(336490/(-252)). 12/19 What is 105*120/23100*176/(-4)? -24 Evaluate 70/5320*-19*152/2. -19 Evaluate ((-41)/((-12792)/(-2704)))/(5/((-60)/8)). 13 What is the value of (-27)/81*680/(-595)? 8/21 Calculate (1577/(-57))/(-83)*123. 41 7/(1095/(-146)*(-6)/36*8) 7/10 What is (-33089)/137083*(-87)/39? 7/13 Calculate (-10)/3*(365472/360)/(-94). 36 440/22*((-13702)/(-340))/(-31) -26 Calculate (-3)/((-57)/(-69654)*78). -47 Calculate (((-15488)/24)/(-176))/(22/36). 6 What is (-816)/119*22/(-352)*(-14)/(-128)? 3/64 What is 177*(-10)/(-8)*-19*84/5985? -59 Calculate (1247324/(-136))/221*(-4)/10*-5. -83 Calculate (-2*(-20)/(-50))/((1938/399)/(14/(-49))). 4/85 What is (-4)/((-24)/(-9))*10960/3288? -5 (-30)/(-260)*(-460)/690 -1/13 Evaluate (44/60)/((-6677)/(-14568)). 8/5 (189/1008)/(1230/(-4592)) -7/10 Calculate (-1)/12*104/(-78)*1935/(-3010). -1/14 Calculate (-12)/(-16)*(-121)/((-20691)/(-570))*4/14. -5/7 What is the value of (-92)/(-115)*-15*8/12*(-57)/38? 12 What is the value of -1*(-28)/8*1308/327? 14 ((-52)/49)/(-1)*84/384*-16 -26/7 (6*(-611)/(-78))/((4/(-16))/(1/(-4))) 47 What is (-10)/(-10)*(-100)/8*6/(-75)*-5? -5 ((-145)/(156600/2268))/(9/5) -7/6 Calculate ((-36)/(-180)*-5)/((-4)/(-8)*-73). 2/73 Evaluate 33*220/3135*19. 44 Evaluate (6850/36990)/((20/30)/(1/((-5)/4))). -2/9 Evaluate 30272/2064*(-12)/(-4). 44 What is the value of 76/95*25/4*42/(-210)? -1 Evaluate (6/2)/(2171/(-668)). -12/13 Evaluate (14/(1596/(-95)))/5*(6/67)/(-2). 1/134 What is ((-1197)/17955)/(((-6)/5)/(-6))? -1/3 Evaluate 50/6*(-16702)/(-178950). 7/9 Calculate 2245/(-8531)*(-12)/(-75)*5. -4/19 What is the value of ((-1761)/(-1174))/(3/(-26))? -13 Evaluate -4*((-2639)/58)/(-91)*41. -82 Calculate (((-7035)/882)/(-67))/(235/141). 1/14 ((-383163)/37565)/(1*(-3)/10) 34 Calculate (-52*(-18)/10530)/(1/(-5)). -4/9 Calculate 34916/(-6235)*(-5)/7. 4 Calculate (1/14)/((-13132)/68943). -3/8 Evaluate (-20)/1*(418/66)/((-815)/489). 76 What is ((-162526)/(-62510))/((-6)/20)? -26/3 What is the value of (((-315)/(195/13))/6)/((-91)/1612)? 62 Calculate ((11232/96)/(-585))/((-2)/15). 3/2 What is the value of ((-1786)/26790)/((-1)/6)? 2/5 Evaluate ((-231)/196)/33*-147*(-2)/12. -7/8 What is 22*43/(1548/(-36))? -22 Evaluate (7*12/84)/4*-1*0/9. 0 What is ((-712)/(-3560))/((12/25)/(-3))? -5/4 What is (-860*(-59)/(-2360))/((3/(-1))/(-6))? -43 What is the value of 7/(-28)*-24*24/45*25? 80 What is the value of ((-10)/(-65))/(7616/(-12376))? -1/4 What is the value of (1904/(-1071))/((-260)/135)? 12/13 Calculate (234/1560)/(-8*240/(-256)). 1/50 Calculate 8/(-6)*-6*(-67825)/(-27130). 20 What is (-21)/(-60)*3438/8022? 3/20 What is the value of 34*28/714*(-1113)/106? -14 What is 18/(((-115)/(12420/144))/(6/9*-3))? 27 What is the value of (37/1628*-44)/(-43)? 1/43 What is (18990/33760)/(3/304)? 57 1218/(-7917)*(-39)/(-11) -6/11 What is 3*6144/(-7680)*20/3? -16 ((-3)/(54/(-138)))/(31/(-93)) -23 What is 22*1*5/(6/((-144)/60)*1)? -44 ((-4640)/139200)/((-52)/(-24)) -1/65 Evaluate ((-1)/13)
{ "pile_set_name": "DM Mathematics" }
58 for v. 4 Solve 31 - 14 = -t + 5*u, -12 = 3*t - 2*u for t. -2 Solve -9*b + 593*w - 591*w = 2, -4*w + 4 = -5*b for b. 0 Solve -3*r - 3*s - 9 = 0, -3*r + 2*s - 7*s = -1238 + 1251 for r. -1 Solve -73*k = -5*i - 78*k + 20, 20 = 5*i - k for i. 4 Solve 208*t = 207*t - 3*h, -10 = 3*t - h for t. -3 Solve 3*d + 15 = 3*p, 4 = 254*d - 256*d for p. 3 Solve -42*t + 41*t + 35 = -123*y, t - 35 = 4*y for y. 0 Solve 5*v = 3*i - 9, 5*i = -v + 3*v + 15 for i. 3 Solve -9 = 2*b + i, 15*b + i - 21 = 19*b for b. -5 Solve 0 = -2*b - 4*w + 14 - 20, 4 = -b - w for b. -5 Solve -27*i = 2*n - 28*i - 4, -2*n = 3*i + 12 for n. 0 Solve 2*i - 319 + 353 = -5*b, 4*i = 5*b + 52 for b. -8 Solve 4*z - 3*z - 2 = 0, -5*z + 11 = o for o. 1 Solve -53 = 13*r - 4*r - 4*p, 0 = -2*r - 5*p for r. -5 Solve 34 = -8*q + 2*n, -167*n + 169*n = -3*q + 12 for q. -2 Solve 0 = b + l + 1 - 12, -4*b = 7*l - 68 for b. 3 Solve -1553 = 4*d - 0*d + 2*p - 1505, -4*p = 4*d + 56 for d. -10 Solve -2*w = 4*t - 18, 39*t + 25 = -w + 71 for t. 1 Solve 4*g = 4*s - 27 + 7, 5*s + 4*g = 16 for s. 4 Solve -h + 1026*s - 1030*s = 39, 0 = -h + 4*s + 33 for h. -3 Solve -40 = 5*k - a - 60, -5*k = -3*a - 10 for k. 5 Solve -5*g = 6*x + 7, -10*x + 7*x - 2 = 4*g for x. -2 Solve -3*w - 4*f = 26 + 1, -3*f = 4*w + 29 for w. -5 Solve 419 = 3*b - 4*k + 450, -5*k = 4*b for b. -5 Solve 4*q + 9 = 162*s - 163*s, 8 = 2*s - 5*q for s. -1 Solve -62 = 8*h - r - 35, 0 = -3*h - 4*r + 3 for h. -3 Solve -366*n + p - 23 = -372*n, 2*n + 4*p = 26 for n. 3 Solve 1 = 3*u - b, -3*u + 18 = 4*b + 37 for u. -1 Solve 5*a + 25 = -3*n + 40, 5*a - 5*n - 55 = 0 for a. 6 Solve s + 8 = -2*h, -2*h + s - 752 + 744 = 0 for h. -4 Solve -4*s = -25510 + 25498, -3*f - 5*s + 15 = 0 for f. 0 Solve -g + j = -58 + 43, -2*g = -j - 28 for g. 13 Solve 0 = k - 4*l + 19, k = 51*l - 50*l - 13 for k. -11 Solve -3*x + 27 = 3*s - 5*s, -4*x - 176*s + 55 - 555 = 0 for x. 7 Solve 3*d = 5*y - 14, -4*y + 20 = d + 2 for y. 4 Solve -3*o - 4*f - 13 = 0, -191*o + 195*o - f = -11 for o. -3 Solve 5*l = -183*k + 186*k - 10, 5*l + 5*k = 30 for l. 1 Solve -v + 17 = 4*m, 28*v - 30*v + 5*m = 31 for v. -3 Solve -4*g + 7*u + 69 = 76, -5*u + 5 = g for g. 0 Solve -67*q + 69*q + 3*h + 59 = 0, 0 = -5*h - 95 for q. -1 Solve n = 42*d - 38*d - 22, -4*n - 5*d = -17 for n. -2 Solve 40 = -2*l - 2*t + 64, -4*t = 5*l - 60 for l. 12 Solve -5*z = -751*q + 753*q - 10, -2*z + 10 = 2*q for q. 5 Solve -3*r = -5*u - 7*r + 9, 0 = 5*u + r - 11 - 10 for u. 5 Solve 4*b + 5*a + 7 = 0, 621*b = 624*b - 7*a + 16 for b. -3 Solve 4*w = -23*x + 24*x, -6 = x - w for x. -8 Solve 57*f - 58*f + 4 = -8*k, 2*k + 3*f - 12 = 0 for k. 0 Solve 2*l = 4*o - 7 - 5, 0 = -4*l - 2*o + 26 for l. 4 Solve -2*j = 4*h + 12, -35*j - 4 = -36*j for h. -5 Solve 111*n - 108*n + 3*d + 21 = 0, 0 = -2*n + 5*d + 21 for n. -2 Solve a + 15 = -2*b, -3*a - 4*a - 44 = -9 for b. -5 Solve -3*k - 56 = -7*k - 92, 7 = -4*g + k for g. -4 Solve -4*b = 5*q + 4, 0 = -579*b + 584*b + q + 5 for b. -1 Solve -2*b + 17*p + 53 = 0, 64*p - 59*p + 14 = -b for b. 1 Solve 0 = -d + 3*c - 12, -5*c - 394 + 416 = -d for d. 3 Solve 598*v - m = 595*v - 4, -16 = -3*v + 5*m for v. -3 Solve -2*y = 5*m + 22, -158*y + 15 = -157*y - 4*m for y. -1 Solve -45*d + 48*d + 28 = -5*q, -d = 10*q + 1 for q. 1 Solve -5*z = 2*w - w - 13, -176*z = -172*z + 2*w - 14 for z. 2 Solve -2*z = 2*g - 18, 2190*g + 29 = 2195*g + z for g. 5 Solve -24*n - 3*x + 21 = -22*n, 10 = 2*x for n. 3 Solve 5*r - 1565 = 3*g - 1602, -5*g - 29 = 3*r for r. -8 Solve -2*f = 701*o - 704*o + 16, 0 = 3*f - 5*o + 25 for f. -5 Solve -2*q + 2*r = -18, 0 = 5*q - 752*r + 746*r - 49 for q. 5 Solve 0 = -c - 4*n + 11, -n + 681 = c + 676 for c. 3 Solve 2*j - 6 = -6*n + 5*n, -j = n - 6 for n. 6 Solve 5*h - 1085 + 1105 = 0, 4 = -y - h for y. 0 Solve 2*o - 3*v + 1 = 0, -13*v = 3*o + 3*v - 60 for o. 4 Solve -h - 5 = 3*n - 12, -4*n + 22 = -5*h for h. -2 Solve 2*m + 12 = -463*z + 465*z, 2*m = -z - 3 for z. 3 Solve -2*t + 49*a = 45*a + 30, -5*t - 67 = -2*a for t. -13 Solve -5*g - 13 = 10*x - 7*x, 3*g - 5 = -5*x for x. 4 Solve -5*i - 4 = c, -41*c - 2*i = -44*c - 12 for c. -4 Solve 5*x + 25 = -4*v + 2*x, v + 2*x = -10 for v. -4 Solve -7055*w + 4*i = -7059*w + 16, -10 = -2*w - 4*i for w. 3 Solve 20*w - 294 = 10*w + 2*z, -w = 2*z - 25 for w. 29 Solve -n + 130*l - 135*l = -4, -4*n - 5*l = -1 for n. -1 Solve 262*h - 266*h + 84 = 4*f, 2*f = -h + 39 for h. 3 Solve 2*m - 35*h + 32*h + 14 = 0, 3*m - 9 = -3*h for m. -1 Solve 0 = -6*q - 3*h + 6, 2*q - 3*h - 2322 + 2312 = 0 for q. 2 Solve -n = -3*p + 2743 - 2752, -4*n = -2*p - 6 for p. -3 Solve 4*l - 8 - 18 = -5*s, -3*s + l = -2 for s. 2 Solve -3*x - 3*g = -24, 0 = -2*x - 32*g + 27*g + 25 for x. 5 Solve 10*n - 8*n = -a + 2, 5*a - 5*n = -20 for a. -2 Solve 36*j - 4*a = 33*j - 27, 3*a = -5*j - 16 for j. -5 Solve 551*u = 546*u + 2*s, -4*s - 24 = 2*u for u. -2 Solve 4*g - 10 = 5*v, -4*g + 26449 = -2*v + 26433 for v. 2 Solve 117*l - 118*l + 7 = -2*c, -4*l + 22 = -2*c for l. 5 Solve -2*c - 2*n - 86 = -76, 4*n = -3*c - 21 for c. 1 Solve l + 22 = 3*w + 12, 3*l - 30 = -6*w for w. 4 Solve -66 = -4*v - 2*j, 7488*v = 7486*v + 4*j + 8 for v. 14 Solve -3*w - 3 = 0, -225*p - 4*w = -224*p + 6 for p. -2 Solve 282*c - 5 = -x - 2*x + 280*c, 7*x + 4*c - 15 = 0 for x. 5 Solve 19*y - 2*q = 20*y, -2*y = 6*q - 10 for y. -10 Solve 5*s - 7*x - 3050 = -3083, 3*s = 3*x - 15 for s. -1 Solve 3*t = -105398*u + 105396*u - 1, u = -7*t + 5 for u. -2 Solve 0 = -18*i + 4*u - 16, -11040*i + 5*u = -11040*i - 25 for i. -2 Solve -2*t = -11*u + 13*u - 30, -1 = -3*t + 2 for u. 14 Solve 8 = -11*g + 4*p, p = -81*g + 83*g + 2 for g. 0 Solve 5*b = -3*w + 6*b - 4, 0 = 2*w - 4*b - 14 for w. -3 Solve 5*h - 5 = 4*x, 3*x - 359*h + 18 = -360*h for x. -5 Solve k = 5*g + 14, 6*k - 5*g = -10*k - 76 for k. -6 Solve 64 = 4*f - a + 59, -3*f + 2 = a for f. 1 Solve 0 = 213*o - 211*o - 3*h + 5, 0 = -4*o - 4*h for o. -1 Solve 4*t + 9*u + 24 = 5*u, 2*t = -5*u - 24 for t. -2 Solve 110 = -3*n - 5*a, 5*a = 9*n - 4*n - 70 for n. -5 Solve -143*s + 145*s - 15 = -5*h, -33 = -9*h - 4*s for h. -3 Solve -5*m - 3*s + 23 = 0, -3*s + 22 - 19 = 0 for m. 4 Solve 11 = 2*i + x, 13*i - 61 = -x + 73 - 112 for i. 1 Solve 141*a = 5*w + 1618 - 344, -a + 11 = -2*w for w. -1 Solve -5*r - 3*k + 30 = 0, 1764*r = 1762*r - 2*k + 12 for r. 6 Solve -23*s = -21*s - 6, -r + 8 = s for r. 5 Solve d = m - 6*m - 0*d + 23, -4*m - 2*d = -22 for m. 4 Solve 134 = -4*r + 5*b + 144, 5*b = 8*r - 30 for r. 5 Solve -4*r + 4 = -3*i, -5*i = 3*r - 985 + 982 for i. 0 Solve 6*s - 36 = 3*b, 38 = -s + 83*b - 88*b for s. 2 Solve -786*r = -789*r - 5*b + 24, -2*b + 6 = 0 for r. 3 Solve -5*o - y - 5 = 0, -75*o + 77*o + 4*y = -2 for o. -1 Solve 7 = -4*g - 9*l + 10*l, -4*l = g + 6 for g. -2 Solve -140*t + 114 = -141*t - 9*a, -28 = -5*t + a for t. 3 Solve 4*j + j + 5*d = 25, -d = 4*j - 17 for j. 4 Solve 3*q - 9 = 0, 0 = -y + 6259*q - 6255*q - 14 for y. -2 Solve -2*i - 888*p + 26 = -891*p, 4*p + 37 = 5*i for i. 1 Solve 2*h = -65*i + 69*i - 20, 0 = i - 1 for h. -8 Solve 0 = 2*b - 4*h - 12, -17*b - 5*h - 25 = -22*b for b. 4 Solve -144*t + 4*b + 13 = -141*t, -3*b = -4*t + 1 for t. -5 Solve -20*l + 16*l + 2*o = 22, 2*o = 3*l + 18 for l. -4 Solve -19 = 2*r + 5*o, 3*r + 4*o = 5*r - 26 for r. 3 Solve -7154*n + 5*x = -7153*n + 29, -16 = -n - 4*x for n. -4 Solve 0 = 170*h - 175*h - 3*j - 4, h - 2 = -j for h. -5 Solve -2*m + 324*n - 323*n = 11, 5*m = 5*n - 40 for m. -3 Solve c + 17 = 2*o, 2*o - 83*c = -80*c + 35 for o. 4 Solve 10*c = -5*k + 50, 4*c + 7*k - 12*k = 6 for c. 4 Solve 127*o = 130*o - 5*a + 6, a - 9 = -2*o for o. 3 Solve 0 = -5*u + 11*f - 6*f - 5, -f = -32*u + 30 for u. 1 Solve -70 = 645*a - 646*a - 5*y, -y = 3*a - 14 for a. 0 Solve -59*y + 31*y - 9 = 3*t - 32*y, -5*t = y - 31 for t. 5 Solve 0 = -4*t + 2*l - 30, 34*l + 46 + 44 = -5*l - 27 for t. -9 Solve 12*t - 10*t + 32 = 4*d, 11*d + 2*t = 58 for d. 6 Solve 2*y = -5*w + 8, 0 = 12*y + 103*w - 106*w + 18 for y. -1 Solve 0 = -2*h + 5*n - 10, 2*h + 804*n - 806*n + 10 = 0 for h. -5 Solve 3*k + 12 = x, x + 13 + 15 = -5*k for x. -3 Solve -2*z + 32 = 19*a - 23*a + 18, -7 = -a + 4*z for a. -5 Solve 2*j + 5*q - 18 = 0, -817*q = 7*j - 821*q + 23 for j. -1 Solve 3*f + 52 = 5*x - 5, 0 = 5*f - 5 for x. 12 Solve -9*q = -5*q - 4*h - 12, 5 = -q - 3*h for q. 1 Solve 5184 = d + 3*f + 5197,
{ "pile_set_name": "DM Mathematics" }
rst derivative of -4*a**5/15 + a**4/4 + a**3/9 + 4. Factor k(n). -n**2*(n - 1)*(4*n + 1)/3 Factor 3*j - 13*j - 5*j - 18 + 3*j**2. 3*(j - 6)*(j + 1) Let t(l) = 12*l**3 + 21*l**2 + 4*l + 5. Let d(p) = p**3 + p**2 + 1. Let i(b) = 5*d(b) - t(b). Factor i(u). -u*(u + 2)*(7*u + 2) Let q = -4/167 + 1519/668. Factor q*o - 3/2 - 3/4*o**2. -3*(o - 2)*(o - 1)/4 Suppose -5*q - 3*w - 23 = -3*q, -5*w = -2*q + 1. Let x = q - -9. Suppose 0 + 2/3*j + x*j**3 - 8/3*j**2 = 0. Calculate j. 0, 1/3, 1 Let a(s) be the second derivative of s**8/2240 - s**7/840 - s**6/120 - s**4/3 - 3*s. Let o(v) be the third derivative of a(v). Solve o(w) = 0 for w. -1, 0, 2 Let z(k) be the second derivative of -k**7/12 - 13*k**6/30 - 17*k**5/20 - 2*k**4/3 + k**3/12 + k**2/2 + 17*k. Find f such that z(f) = 0. -1, 2/7 Let v(z) be the third derivative of z**5/150 - z**4/60 + 3*z**2 - 10. Factor v(q). 2*q*(q - 1)/5 Determine l so that -4/9 - 2/9*l**2 + 2/3*l = 0. 1, 2 Let o(l) be the third derivative of 0*l**7 + 1/132*l**4 + 0 - 1/330*l**6 + 0*l + 0*l**5 + 0*l**3 + 1/1848*l**8 - l**2. What is u in o(u) = 0? -1, 0, 1 Let i(k) be the first derivative of k**4/10 + 2*k**3/15 + 24. Factor i(m). 2*m**2*(m + 1)/5 Let q(s) = -s**2 + 6*s - 5. Let l be q(4). Suppose 4*v = 2*c + 10, -4*v + 0*c - 15 = 3*c. Factor -1/4*k + 0*k**2 + 1/4*k**l + v. k*(k - 1)*(k + 1)/4 Let r(x) be the third derivative of x**8/20160 - x**7/5040 + x**5/30 + 2*x**2. Let j(i) be the third derivative of r(i). Factor j(t). t*(t - 1) Let x(i) be the second derivative of -i**9/504 - i**8/105 - i**7/70 + i**5/60 - i**3/6 - 2*i. Let n(h) be the second derivative of x(h). Factor n(t). -2*t*(t + 1)**3*(3*t - 1) Let g = -224 - -65. Let w = g + 798/5. Factor 3/5*t**5 + 0*t + 0 + 3/5*t**4 - 3/5*t**2 - w*t**3. 3*t**2*(t - 1)*(t + 1)**2/5 Suppose 0 = 4*q - q - 12. Factor -c**3 - 1 + 1 - 14*c**q + 5*c**3. -2*c**3*(7*c - 2) Let t = 1/9 - -2/9. Solve -4/3*u + t*u**2 + 1 = 0 for u. 1, 3 Let z = -2 - -4. Determine d so that 0*d + 6*d**2 - 3*d**4 + 0*d**z - 3*d - 3 - 3*d**5 + 6*d**3 = 0. -1, 1 Factor 9/2*w**2 - 3/2*w**3 - 3/2*w**4 + 15/2*w + 3. -3*(w - 2)*(w + 1)**3/2 Suppose 3*f = 14*f. Determine s, given that 3/4*s**3 + f - 1/4*s**4 + 1/4*s - 3/4*s**2 = 0. 0, 1 Suppose 3*t + t + 8 = -5*z, 3*z = t + 2. Let b = 0 - t. Solve r**2 - 5 + 6*r + 1 - r**b - 2*r**3 = 0. -2, 1 Let f(o) = -o**3 + 7*o**2 + 9*o - 5. Let z be f(8). Factor z*w**2 - 3*w**2 + 0*w**2 + 3 - 6*w + 3*w**2. 3*(w - 1)**2 Let x(n) = -2*n**3 - 22*n**2 - 47*n + 10. Let j be x(-8). Determine r so that -3/5*r**j + 0*r + 0 = 0. 0 Let m(k) be the third derivative of -75*k**8/112 + 47*k**7/7 - 235*k**6/12 + 16*k**5/3 + 125*k**4/8 - 15*k**3 - 5*k**2. Let m(l) = 0. Calculate l. -2/5, 1/3, 3 Let n(d) be the third derivative of d**5/150 - 5*d**2. Factor n(l). 2*l**2/5 Let h(n) be the third derivative of n**8/26880 - n**7/5040 - n**6/2880 + n**5/240 - n**4/8 + 4*n**2. Let i(x) be the second derivative of h(x). Factor i(f). (f - 2)*(f - 1)*(f + 1)/4 Let h(a) = 4*a**3 - 16*a**2 + 3*a - 3. Let g(i) = -5*i**3 + 17*i**2 - 4*i + 4. Let f(k) = -3*g(k) - 4*h(k). Suppose f(y) = 0. What is y? 0, 13 Determine p so that -4*p**4 + 10 + 2*p**5 - 4*p**5 - 2*p**3 - 10 = 0. -1, 0 Suppose -3*t = 2*z + 8, -2*z - 4*t - 4 = -3*t. Let o be 0 - (z + 3/5). Factor 8/5*r**2 - 3/5*r**3 - 7/5*r + o. -(r - 1)**2*(3*r - 2)/5 Suppose 20 = 3*n - 1. Suppose n*p = 2*p + 10. Solve 0 - 3/5*j + 3/5*j**3 - 3/5*j**p + 3/5*j**4 = 0. -1, 0, 1 Let x(y) = y**5 + 3*y**4 + y**3 - 3*y**2 + 2*y - 2. Let h(s) = -3*s**5 - 10*s**4 - 4*s**3 + 10*s**2 - 7*s + 7. Let k(t) = 4*h(t) + 14*x(t). Factor k(a). 2*a**2*(a - 1)*(a + 1)**2 Factor 4*o**3 + 18 - 5*o + o + 4*o**2 - 22. 4*(o - 1)*(o + 1)**2 Let k = -6 + -16. Let z = k + 45/2. Factor z*h**2 + 0 - h**3 + 1/2*h**4 + 0*h. h**2*(h - 1)**2/2 Let r = -10 + 13. What is p in r + 15/2*p**3 - 15/2*p - 3*p**2 = 0? -1, 2/5, 1 Let x(u) = -4*u**3 + u**2 + 2*u + 2. Let p be x(0). Let 4*z + 4/3*z**p - 16/3 = 0. What is z? -4, 1 Suppose 5*x = -2*s + 14, -4*x = s - 12 + 2. Factor 0*i**2 - 2*i**5 + 6*i**3 + 0*i**2 + 6*i**s - 2*i**2. -2*i**2*(i - 2)*(i + 1)**2 Let x be 2612/8*6/(-12). Let i = x + 164. Let -3/4 - i*h**2 + 3/2*h = 0. Calculate h. 1 Let z(s) be the first derivative of -2*s**5/5 + 2*s**4 - 4*s**3/3 - 4*s**2 + 6*s + 4. Factor z(b). -2*(b - 3)*(b - 1)**2*(b + 1) Let p(s) be the second derivative of 0 - 9/10*s**5 - 100/9*s**3 - 3/5*s**6 + 8*s**2 + 7*s**4 + 6*s. Suppose p(c) = 0. What is c? -3, 2/3 Suppose 5*v = 246 - 246. Factor 1/3*c**4 + v - 1/3*c + 1/3*c**3 - 1/3*c**2. c*(c - 1)*(c + 1)**2/3 Let a(g) = 3*g**5 - g**4 - 3*g**3 + g**2 + 2*g - 2. Let h = 0 + 2. Let p = 0 - h. Let j(c) = c**5 - c**3 + c - 1. Let f(u) = p*j(u) + a(u). Factor f(w). w**2*(w - 1)**2*(w + 1) Let y(h) be the second derivative of 0 + 3*h - 1/6*h**3 + 1/600*h**6 - 1/40*h**4 + 0*h**2 + 0*h**5. Let i(p) be the second derivative of y(p). Factor i(t). 3*(t - 1)*(t + 1)/5 Solve -3 + 21*l**3 + 1 + 6*l**2 + 0*l**3 - 21*l - 4 = 0 for l. -1, -2/7, 1 Let b(w) be the third derivative of w**6/280 + 2*w**5/105 + w**4/42 + 16*w**2. Suppose b(d) = 0. What is d? -2, -2/3, 0 Let p(u) be the second derivative of u**6/1260 - u**5/210 + u**4/84 - 2*u**3/3 + 2*u. Let v(r) be the second derivative of p(r). Solve v(y) = 0. 1 Let n be (-48)/(-21) - (-1 - -3). Factor 0*h - n*h**2 + 0 + 2/7*h**3. 2*h**2*(h - 1)/7 Let w = 0 - -2. Suppose 0*p - 4 = -w*p. Determine c so that c**2 + 3*c**3 + c**4 - 2 + c**2 + 0*c**4 - c**p - 3*c = 0. -2, -1, 1 Let b be (-7)/(56/60)*4. Let w = -30 - b. What is s in 0*s**3 + 0 - 1/2*s**4 + 1/2*s**2 + w*s = 0? -1, 0, 1 Solve -15/4*m**3 - 5*m**4 + 5*m**2 - 5/4*m**5 + 0 + 5*m = 0. -2, -1, 0, 1 Suppose d = 3*d - 2. Suppose 3*g - d = 11. Factor 0*x**2 - 2/5*x + 2/5*x**3 + 1/5*x**g - 1/5. (x - 1)*(x + 1)**3/5 Let m(v) = 67*v**4 - 17*v**3 - 52*v**2 + 40*v + 1. Let q(p) = -66*p**4 + 18*p**3 + 51*p**2 - 39*p. Let n(t) = -6*m(t) - 7*q(t). What is o in n(o) = 0? -1, 2/5, 1/2 Let m(d) be the first derivative of d**4/16 - 7*d**3/12 - 17*d**2/8 - 9*d/4 - 27. Factor m(z). (z - 9)*(z + 1)**2/4 Let c = 3 - 5. Let n be c - (108/(-28) + 1). What is q in 8/7*q + 2/7*q**4 + 8/7 - 4/7*q**3 - n*q**2 = 0? -1, 2 Let l be 2 + -9 + 0 - -1. Let k be ((-14)/l - -1) + -3. Factor 0*j + k*j**3 - 1/3*j**2 + 0. j**2*(j - 1)/3 Let t = 25 - 22. Let a be 2/2 - (-2)/t. Factor 10/3*q**2 + 10/3*q**3 + 1/3 + 1/3*q**5 + a*q + 5/3*q**4. (q + 1)**5/3 Factor 1/5 - 1/5*a - 1/5*a**2 + 1/5*a**3. (a - 1)**2*(a + 1)/5 Let y(m) be the third derivative of m**7/350 - m**6/200 - 3*m**5/100 + m**4/8 - m**3/5 - 23*m**2. Factor y(x). 3*(x - 1)**3*(x + 2)/5 Suppose -21 = -7*b + 4*b - s, 33 = 3*b - 3*s. Factor -b*m**2 - 2*m - 2*m - m + m**2 + 2. -(m + 1)*(7*m - 2) Let p be (2 - -2) + 2/1. Suppose -4*i + 3*q + 11 + p = 0, -4*i + 52 = 4*q. Solve 0*m**3 - 8 - 8*m - i*m - 2*m**3 - 10*m**2 = 0 for m. -2, -1 Let d(w) = -14*w**3 - 18*w**2 + 6*w + 10. Let n(k) = 9*k**3 + 12*k**2 - 4*k - 7. Let s(u) = -5*d(u) - 8*n(u). Suppose s(o) = 0. Calculate o. -3, -1, 1 Let f(j) = -2*j**2 + 10*j - 5. Let v be f(4). Factor -r**2 + 0 + 1/2*r + 1/2*r**v. r*(r - 1)**2/2 Let v(o) = 6*o + 12. Let y(g) = -5*g - 11. Let m(d) = -6*v(d) - 7*y(d). Let q be m(5). Determine i, given that 6/7*i**3 + 0*i - 27/7*i**4 + 0 + q*i**2 = 0. 0, 2/9 Let x(g) = 3*g**2 - 2*g - 2. Let k be x(-1). Determine q, given that 2/9*q**k + 0*q + 0 + 4/9*q**2 = 0. -2, 0 Let s(u) be the second derivative of 4*u + 1/6*u**4 + 0 + 0*u**2 + 1/3*u**3. Factor s(o). 2*o*(o + 1) Let k(l) be the first derivative of l**6/18 + 2*l**5/15 - l**4/4 - 8*l**3/9 - 2*l**2/3 - 8. Factor k(y). y*(y - 2)*(y + 1)**2*(y + 2)/3 Let i(g) = g**2 - 6*g. Let f be i(5). Let k be -3*f/90*8. Find s, given that 2/3*s**2 + k*s + 2/3 = 0. -1 Determine g so that -7*g**3 + 6*g**3 - 2*g**5 + 5*g - 9*g**3 + 7*g**5 = 0. -1, 0, 1 Factor 5/2*r + 17/2*r**2 - 10*r**3 - 1. -(r - 1)*(4*r - 1)*(5*r + 2)/2 Let i(u) be the first derivative of 2*u**3/3 + u**2 - 23. Factor i(x). 2*x*(x + 1) Let z(o) = o. Let i be z(1). Factor 0*p**2 - 2*p**2 - p**4 + i + 2*p**4. (p - 1)**2*(p + 1)**2 Let p be (-3)/(-6) - 4/(-8). Factor -1 + 20*m + 4*m**3 - p + 10 + 16*m**2. 4*(m + 1)**2*(m + 2) Let j(f) = 4*f**4 - 4*f**3 + 2*f + 2. Let m(w) = w + 1. Let o be m(-3). Let z(b) = -b**4 + b + 1. Let a(y) = o
{ "pile_set_name": "DM Mathematics" }
) - 5) 2 What is (30 - 26)/(3*-1)? -4/3 Evaluate (-88)/66*((-14)/12 - -1). 2/9 What is ((-504)/(-210))/(6*2/(-40))? -8 What is ((-5)/2)/((-355)/(-852))? -6 What is the value of 232/(-290) + (-6)/(-5)? 2/5 What is -1 + (26/(-22) - 28/(-154))? -2 Calculate (4/3)/(4 + 8/(-12)). 2/5 Calculate (7/84 + 6/(-8))/5. -2/15 Calculate -2*(-3*(-6)/4 - 7). 5 What is the value of (-5)/21*1 - 28/(-42)? 3/7 What is the value of -4 + 24/7 - 4/42? -2/3 What is 0 + -6 + 1312/164? 2 ((0/4)/((-8)/(-4)))/(-1) 0 Evaluate 11 + (-3)/((-30)/(-20)). 9 What is the value of -28 + 38 - 49/5? 1/5 Calculate (-2)/(-12)*1*-2*9. -3 What is the value of 5 - (17 - 4) - -6? -2 Evaluate (-6)/(-11) + 2204/(-2871). -2/9 Evaluate (-10 - (5 - 10))/2. -5/2 Evaluate ((-28)/(-42))/(8/60). 5 Evaluate (-9)/((-81)/(-42))*(-45)/105. 2 What is (((-10)/4)/5)/(2/4)? -1 (-8)/(-12) - (2/2)/2 1/6 What is (-6)/(-20) - (-31)/(-186)? 2/15 Evaluate (-2)/10 + (-19)/5. -4 (3/(-2))/((-234)/104) 2/3 Calculate -4 - (-2 + (-16)/(-4))*-3. 2 (-21)/(-63)*(-12 - 0) -4 What is the value of (-1)/3 + 0/(5 + -3)? -1/3 What is 232/(-464)*(-1)/2? 1/4 What is -4*(15/25)/((-2)/5)? 6 What is 45/(-297) + (-6)/33? -1/3 What is (-4)/10*20/64? -1/8 What is the value of (-1584)/2860 - (-2)/5? -2/13 What is (1 - 4/6)*-12? -4 Calculate 118/38 - 3 - (-590)/(-190). -3 Evaluate 8/6*27/(-72)*8. -4 Calculate (-6)/2 - (-7 + 8). -4 -12 + (-36)/(-6) - (-160)/25 2/5 Evaluate 7 + (-4 - (-9 - -13)). -1 What is the value of ((-320)/(-198))/4 + (-2)/11? 2/9 What is 4 - 110/25 - (-13)/(-5)? -3 What is (12/8 + 0)/(3/(-8))? -4 21/(-12)*18/567*3 -1/6 What is 9 + (-3 - 120/21)? 2/7 6/(-8) + (17/28)/1 -1/7 What is 1*(-4)/(-14) + 120/168? 1 Calculate 6/16 + (-62)/80. -2/5 Calculate (2 - 1) + (-17 - 204/(-12)). 1 Evaluate (36/(-8))/(25/50). -9 (((-288)/81)/8)/(2/(-18)) 4 Calculate -3 + (9/5 - 2)*5. -4 Evaluate ((-6)/4)/(5/(160/(-12))). 4 -5 + 2 - 40/(-12) 1/3 What is the value of ((-9)/(-6) - -1) + (-3 - 0)? -1/2 Calculate (-6 + (-63)/(-14))/(2/4). -3 Evaluate ((-5)/2 + 0)/((-3)/(-6)). -5 What is the value of ((-3)/(-6))/((-7)/14)? -1 Calculate (-117)/26*32/24. -6 What is the value of 161/(-46) - 1/2? -4 What is the value of 0*(105/14 - 7) - 0? 0 Calculate 6/(-30) - (-6)/10. 2/5 What is the value of 1/(300/(-16))*(-10)/4? 2/15 What is (-1)/15*(-40 + 31)? 3/5 What is -1 + -1 + (-1 - -8)? 5 What is the value of 2/6 - 84/(-18)? 5 Calculate (-10)/15 + (-13)/(-6) - -1. 5/2 -4 - (2 + (-4 - (-8 + 3))) -7 What is (-215)/(-275) + (-12)/20? 2/11 Calculate (-14)/(-6) - ((1 - -8) + -8). 4/3 What is 15/(-40)*2/3? -1/4 What is -4 - -6*(24/18 - 0)? 4 Evaluate 1 + -3 + -24 + 31. 5 Calculate (340/770)/(-17)*(5 - -2). -2/11 Calculate 0 - (-3)/(-2)*152/(-57). 4 What is the value of (-1)/(6/(-3)) + -3? -5/2 Calculate (2 + -1 - (21 + -16)) + 0. -4 (1 + -21 + 20)*(2 + -1) 0 (2 - 1) + -3 - 23/23 -3 Evaluate ((-2)/6)/(-1*(-4 + 5)). 1/3 Calculate 3/(-6) - (-7)/18. -1/9 Calculate (2/2)/((-5)/15). -3 What is (-2 - -5) + -4 + 18/14? 2/7 (136/102)/(7/(-3)) -4/7 Evaluate 110/(-616) - 9/(-21). 1/4 (2/(-6))/((-48)/144) 1 Calculate 6 + -7 + -1*(-1 - 0). 0 Calculate -1 + (-212)/(-26) + -7. 2/13 What is (-15)/(-12)*2/10? 1/4 What is 221/39 - (-2 - -7)? 2/3 Calculate 6/(-48)*2*-4. 1 What is 90/10 + (-865)/95? -2/19 What is the value of -3*(3 + 6*(-13)/27)? -1/3 Calculate 50*6/(-108) - 3*-1. 2/9 What is the value of (160/100)/(2/5)? 4 What is 4 - ((-825)/(-22))/15? 3/2 (((-48)/15)/2)/(4/10) -4 Evaluate (-10)/(800/(-368)) - 4/(-10). 5 What is 16/3 - (-3)/(-9)? 5 What is (6 + -1)/((-180)/(-24))? 2/3 Evaluate (6/12)/(2 + 0/(-1)). 1/4 What is the value of (-28)/(-12)*(29 - 26)? 7 Calculate -8*6/(-96)*6/(-9). -1/3 Evaluate ((-4)/1 - 2) + 6. 0 (-1)/((-4)/8*15) 2/15 Evaluate (-46 - -46)/(1*7). 0 What is the value of (45 - 50)*(2 - 1)? -5 Evaluate (-1364)/(-3388) + (-2)/(-14). 6/11 What is the value of (-2)/12 + 450/108? 4 What is 5/(-4) - (-12 + 441/36)? -3/2 What is the value of (7/(-7))/((-2)/10)? 5 (-13 - -16)*2/(-2) -3 Evaluate (-32)/30 - (35/15 + -3). -2/5 (4/22)/(-1) + 84/(-385) -2/5 Calculate 68/20 + 0 + -3. 2/5 Evaluate 840/(-126) + (-5)/(-3) + -2. -7 What is -4 + 4 + (6 - 1)? 5 What is the value of (-2)/(4/3 + (-24)/12)? 3 Evaluate -5 - (-11 - (5 - (-6 - -12))). 5 What is (-21 - -7)*(2 + (-6)/4)? -7 (2 - (1 - 3))/4 1 What is 1*(9/3)/(-9)? -1/3 ((-25)/20)/(3/(-4)) - 2 -1/3 Calculate 1/(-2) - (-5)/(-20)*2. -1 (42/(-35))/(27/(-10) - -3) -4 (3/(-7))/((-8)/(-28)) -3/2 (11 + -10)/((15/(-18))/(-5)) 6 (-15)/(-3) - (-180)/(-35) -1/7 What is the value of -5 - (145/6)/(-5)? -1/6 (-62)/(-112) - 32/256 3/7 Evaluate 46/(-184) + 34/40. 3/5 What is (-6 + 5)/((-2)/10)? 5 What is the value of ((-108)/(-189))/((-2)/(-14))? 4 What is the value of (7 - 7) + ((-3)/(-18) - 0)? 1/6 What is (-1)/2*((-126)/9 + 6)? 4 What is the value of 1/(-2)*(-24)/(144/12)? 1 Calculate (-209)/77 - 2 - 2/7. -5 What is the value of 4 + 36/(-10) - (-44)/(-10)? -4 What is 11 + ((-74)/185)/(2/30)? 5 What is -4 + ((-9)/(-12))/((-18)/(-90))? -1/4 What is the value of (4/(-6))/((-80)/(-1200))? -10 What is the value of -2*1 + (-8)/(-5)? -2/5 Calculate (2/4)/(5/(-20)). -2 Calculate (-288)/(-153) - (1 - (2 - 3)). -2/17 Calculate ((-196)/56)/((-2)/(-4)). -7 Evaluate ((-8)/(-144))/(-1*(-1)/3). 1/6 (1 - -8) + -9 + (-50)/(-10) 5 Evaluate 3/(-2)*(-13)/((-117)/(-18)). 3 What is (-5)/(-2) + -5 + 1/(-2)? -3 Evaluate (-44)/77 + 22/63. -2/9 What is ((-1)/(3 + -2))/(-1)? 1 Calculate 25/35 - -3*(-6)/18. -2/7 Evaluate 7/(-40) + (-95)/475. -3/8 1/3 - -8*56/96 5 Evaluate (4/((-32)/6))/(6/(-40)). 5 Calculate 19/5 + 9 + 7 + -20. -1/5 (10 - (18 - 9)) + (-2 - 0) -1 What is 4/(-22) + 57/11? 5 Evaluate 88/55*(-10)/(-4). 4 What is the value of 1525/122*4/(-10)? -5 Evaluate (32/(-16))/((0 - -5)*2). -1/5 What is (18/(-135))/((-15)/25)? 2/9 Calculate -1*678/138 - 8/92. -5 12/(-45)*-5*-6 -8 What is (-7)/(-4) - 2/(-8)? 2 What is the value of ((-12)/(-63))/(58/609)? 2 Calculate 40/(-15)*(-1)/(12/(-27)). -6 Evaluate (-78)/(-21) + -5*6/(-105). 4 What is 1/(-1)*(0 + (-4 - -7))? -3 What is (((-6)/(-5))/3)/(45/(-25))? -2/9 What is the value of 98/28*(3 + (-65)/25)? 7/5 What is the value of 2/(-2)*(-15)/(-5)? -3 64/(-48)*9/(-4) 3 (-2 + 0)/((-27)/((-1458)/252)) -3/7 What is the value of ((-102)/12)/(-17) + (-9)/2? -4 -1*(-3 + 4)*4 -4 What is 72/(-81) + (-1)/9? -1 (-9)/15*(1 + -2)/1 3/5 Evaluate (12/(-21))/(30/315). -6 What is 3/45 + -5 + (-140)/(-25)? 2/3 Calculate ((-1)/(-12) + (-156)/208)/(-5). 2/15 Evaluate (-1 + 7)/3*20/40. 1 What is (2 + 2)/4*1*-1? -1 Calculate (5 - -4) + -7 + -2. 0 Evaluate (2/(-5))/((-44)/(-220)) + -5. -7 What is 9/(-63)*(4 + 0)? -4/7 Evaluate (38/(-8) - 1) + 102/17. 1/4 What is the value of ((-6 + 8)/6)/((-9)/(-3))? 1/9 (-1 + (-13)/(-9))*33/22 2/3 What is the value of 25/(-4) - (-188)/752? -6 Calculate 0 - (-33)/(-198)*(-24)/(-10). -2/5 55/(-33) - 14/(-3) 3 (-1)/(-4) - (-1 + 2/8) 1 What is the value of 4/(-40)*-8*2/(-16)? -1/10 Evaluate ((-5)/(-210))/((-5)/(-30)). 1/7 Evaluate 60/40 - (-6)/4. 3 (-140)/84*(-4 + 1) 5 14/2 - (-3500)/(-490) -1/7 Calculate 2/5 - -8*1/(-10). -2/5 Calculate 19/30 + (-4)/(6 - -2). 2/15 What is 8/(-6) - 49/(-21)? 1 What is (-48)/(-180)*2*5/(-12)? -2/9 Calculate (1 + (-12)/6)*5. -5 Evaluate 3/(-36) - 3/12. -1/3 Evaluate 90/(-4)*47/470. -9/4 Calculate ((-77)/1078)/((-1)/6). 3/7 Evaluate (-60)/(-6) + (-38)/4. 1/2 1 + 22/(-4)*(-2)/(-6) -5/6 (65/117 - (-1)/(-2))*3 1/6 What is (-10)/12 + (-387)/(-378)*-7? -8 What is the value of 65/(15 - 2) + -3? 2 What is the value of ((-75)/(-12) - (-3 - -7)) + -3? -3/4 What is the value of -3*4/(-18)*6? 4 ((0 - -3) + -3)*1 0 What is the value of (-4)/7 - (76/(-28) + 3)? -6/7 Calculate -17 + 0 + -2*(-15)/5. -11 Evaluate (8/(-3) + 1)/(10/(-30)). 5 Calculate ((-5)/125)/((-51)/(-170)). -2/15 Calculate (-110)/30 + 1 + (-2)/(-3). -2 Evaluate (12 - 13)/((0 + 1)/3). -3 (-20)/(-15)*(-60)/(-140) 4/7 Evaluate 38/(-70) + (-4)/(-28). -2/5 Evaluate ((-260)/(-30) + -9)/(1/6). -2 Evaluate (4 - 2)/(-8) - (-2013)/6100. 2/25 What is the value of ((-8)/(-10))/(3/(-15))? -4 What is ((-2)/6)/(10/(-90))? 3 What is the value of (-56)/(-80)*6/21? 1/5 Calculate (-5)/(-14) + 1/7. 1/2 110/(-20) - ((-2)/(-4) + -1) -5 (-12)/(-7) + ((-6)/(-7))/3 2 Evaluate (-321)/(-45) - (-8 - 488/(-60)). 7 What is 7 + 130/(-12)*42
{ "pile_set_name": "DM Mathematics" }
rt(30)/(2*sqrt(2)))/(sqrt(18)/(sqrt(30)/sqrt(5))))**2. 5/4 Simplify -3*(5 + ((sqrt(252) - (sqrt(252) + 2))*3)**2). -123 Simplify ((sqrt(34) + -1*sqrt(34))/sqrt(2) + (sqrt(17) + -4)*2)**2. -32*sqrt(17) + 132 Simplify (-2*1*sqrt(21))/(2*sqrt(363)). -sqrt(7)/11 Simplify (sqrt(4000) - sqrt(4000)*-2)/(sqrt(24)/sqrt(3)*-4). -15*sqrt(5)/2 Simplify (sqrt(14)/sqrt(2)*-2 - sqrt(7))*-1. 3*sqrt(7) Simplify sqrt(78)/sqrt(486) + sqrt(117) + -4. -4 + 28*sqrt(13)/9 Simplify -2 + (-5 + -3*sqrt(76) + sqrt(19))**2. 50*sqrt(19) + 498 Simplify -3 + -4*(sqrt(6)/sqrt(2) + -5). -4*sqrt(3) + 17 Simplify (-4 + -3*(-3*sqrt(11) - sqrt(11))*1)**2. -96*sqrt(11) + 1600 Simplify 3*(sqrt(18))**2 - (-4 + sqrt(32)). -4*sqrt(2) + 58 Simplify ((-1*sqrt(539))/sqrt(11))/(sqrt(112)*-1). sqrt(7)/4 Simplify (sqrt(300) + sqrt(432) + 2)*-2. -44*sqrt(3) - 4 Simplify sqrt(33)/(sqrt(192)/sqrt(4)) + 1. sqrt(11)/4 + 1 Simplify 3 + -1*sqrt(5) - (-5 + sqrt(245)). -8*sqrt(5) + 8 Simplify -1*(sqrt(17) + 2) - 2*sqrt(68)/sqrt(4). -3*sqrt(17) - 2 Simplify (sqrt(700) - (sqrt(700) - sqrt(700)*-1))**2 + sqrt(28)*1. 2*sqrt(7) + 700 Simplify (sqrt(2) + sqrt(8)/sqrt(4)*-5 + 3 + -2)**2. -8*sqrt(2) + 33 Simplify (-1*sqrt(200))/sqrt(4) + ((sqrt(24) + (sqrt(264) - 1*sqrt(264) - sqrt(264) - sqrt(264))/sqrt(11))/sqrt(12))**2. -5*sqrt(2) + 2 Simplify (2*sqrt(1800))/(-6*sqrt(160)). -sqrt(5)/2 Simplify ((sqrt(343)*-3 + -5 - sqrt(343)) + 5)**2. 5488 Simplify (-3 + sqrt(2)*-3)**2 + ((3*sqrt(200) - sqrt(200)) + sqrt(2))**2. 18*sqrt(2) + 909 Simplify sqrt(18)/sqrt(144) - sqrt(162)*1. -35*sqrt(2)/4 Simplify sqrt(13)*2 + -3 - (-3*sqrt(13)*1)**2. -120 + 2*sqrt(13) Simplify 3 + sqrt(19)*2*-6. -12*sqrt(19) + 3 Simplify 5 + 1 + 5*sqrt(117). 6 + 15*sqrt(13) Simplify -1*sqrt(91)/sqrt(63) + -5. -5 - sqrt(13)/3 Simplify (sqrt(448)*-1)**2*-1. -448 Simplify (1 + sqrt(39)/sqrt(3))*-1. -sqrt(13) - 1 Simplify -5*(-3*sqrt(68))**2. -3060 Simplify sqrt(12)/(sqrt(18)/sqrt(3)) - (sqrt(162) - 1*sqrt(162))**2. sqrt(2) Simplify (6*(sqrt(847)*2 + sqrt(847)))**2 + -1. 274427 Simplify 1 + sqrt(405)*-5. -45*sqrt(5) + 1 Simplify (sqrt(171)*-3*-3 + sqrt(171) - sqrt(171))/(-1*sqrt(225)). -9*sqrt(19)/5 Simplify -4 + sqrt(13) + 1 + -3. -6 + sqrt(13) Simplify (2*(sqrt(3) + 0) - (sqrt(12) + -3 - sqrt(3))) + 4. sqrt(3) + 7 Simplify -2*(-1*(sqrt(931) - sqrt(931)*1))**2. 0 Simplify 6*2*sqrt(52). 24*sqrt(13) Simplify (sqrt(22) - (sqrt(242)/sqrt(11)*-3 - sqrt(22)))/sqrt(2)*-3. -15*sqrt(11) Simplify 0 + 5 + sqrt(5)*2. 2*sqrt(5) + 5 Simplify -2*(1 + ((0 + sqrt(17))*-1 + 0 + sqrt(17)*2)**2). -36 Simplify (sqrt(48) + sqrt(528)/(-1*sqrt(11)))/sqrt(6). 0 Simplify -3 + -4 + -2*sqrt(325). -10*sqrt(13) - 7 Simplify sqrt(20)/sqrt(4) + -2 - sqrt(40)/(sqrt(8) - sqrt(32)). -2 + 2*sqrt(5) Simplify (sqrt(85)/sqrt(5) + 2)**2 + 4. 4*sqrt(17) + 25 Simplify (sqrt(418)/sqrt(44))/(sqrt(96)/sqrt(12)). sqrt(19)/4 Simplify (sqrt(105)/(1*sqrt(5)))/(sqrt(27)/(-1*sqrt(9))). -sqrt(7) Simplify (sqrt(1377) + -1)**2 + sqrt(204)/(-1*sqrt(12)). -19*sqrt(17) + 1378 Simplify 5 + -2 + (sqrt(80) + 0)**2. 83 Simplify sqrt(99)/sqrt(36) + sqrt(77)/sqrt(7)*3. 7*sqrt(11)/2 Simplify -2 + sqrt(14)/(sqrt(49)/sqrt(112)). -2 + 4*sqrt(2) Simplify (-5 + sqrt(832) + 1 + sqrt(832))**2. -128*sqrt(13) + 3344 Simplify (-6*(sqrt(44)/sqrt(4) + 4)*4)**2. 4608*sqrt(11) + 15552 Simplify (-6*-1*sqrt(114))/(-1*sqrt(18)/sqrt(3)). -6*sqrt(19) Simplify (-1*sqrt(180) + sqrt(180))**2 + -4 + 1. -3 Simplify -1 + sqrt(15)/sqrt(180). -1 + sqrt(3)/6 Simplify ((sqrt(567) - (sqrt(567) + sqrt(567)*1*-1 + sqrt(567) - sqrt(567) - sqrt(567)))/(sqrt(9) - (sqrt(9) + sqrt(63)/(sqrt(7) + sqrt(63)))))**2. 4032 Simplify (sqrt(114)/sqrt(12))/(sqrt(72) + (sqrt(72) + sqrt(72)*2 + sqrt(72) - sqrt(72)) + sqrt(72)). sqrt(19)/60 Simplify ((sqrt(198)/sqrt(6)*-6)/((sqrt(48)/sqrt(4))/sqrt(4)))**2. 396 Simplify 6*sqrt(5)*5*-4*6. -720*sqrt(5) Simplify (sqrt(1573) - sqrt(1573)*-1)**2*6. 37752 Simplify (-3*sqrt(21))/sqrt(7) + 0 + sqrt(363). 8*sqrt(3) Simplify -5*(sqrt(5) - sqrt(5)*2) + -2*(sqrt(5) - sqrt(80)). 11*sqrt(5) Simplify (sqrt(187)/(sqrt(55)/sqrt(5)))**2*-2. -34 Simplify (sqrt(208) + (sqrt(208) - -2*sqrt(208)) - sqrt(208))/sqrt(4). 6*sqrt(13) Simplify sqrt(49)/(sqrt(42)/(sqrt(6) + sqrt(48)/sqrt(8) - sqrt(6))) + 3. sqrt(7) + 3 Simplify (sqrt(119)/sqrt(252))**2 - ((sqrt(68) - (sqrt(68)*-5 + sqrt(68)) - sqrt(68))/sqrt(4) - sqrt(17)). -3*sqrt(17) + 17/36 Simplify (2*sqrt(56))/(sqrt(72)*-2). -sqrt(7)/3 Simplify -1 + (sqrt(190) - (sqrt(190) - (-1*sqrt(190) + sqrt(190))))/sqrt(10) + 3*sqrt(171). -1 + 9*sqrt(19) Simplify sqrt(68)/(sqrt(4)*2) - (sqrt(17) - -2*(sqrt(68))**2). -136 - sqrt(17)/2 Simplify (sqrt(243) + (sqrt(243) - (sqrt(243) + sqrt(243)*-2)*-5) + sqrt(243) + 4*sqrt(243)*2 + sqrt(243))**2. 11907 Simplify (sqrt(228) - (4*sqrt(228)*-1 - sqrt(228)) - sqrt(228))/(((sqrt(12) - sqrt(48)) + sqrt(12) + sqrt(12) + sqrt(12))*3). 5*sqrt(19)/6 Simplify sqrt(3) + sqrt(162)/sqrt(6) + (sqrt(12)*-1)/sqrt(4) + sqrt(3). 4*sqrt(3) Simplify sqrt(1088) + (sqrt(1088) - (sqrt(1088) + -1*sqrt(1088))**2)*-5. -32*sqrt(17) Simplify 3*(1 + (0 + sqrt(19) - sqrt(19)) + (1*sqrt(304))**2). 915 Simplify (-3*1*-2*sqrt(19))**2. 684 Simplify ((sqrt(85) + sqrt(85)*-1)/sqrt(5) - sqrt(544)/sqrt(2))**2. 272 Simplify -3*((sqrt(75)*2)**2 - sqrt(75)). -900 + 15*sqrt(3) Simplify sqrt(475)*-5 - (sqrt(19) + (sqrt(304) + sqrt(304) + 2*sqrt(304))**2). -4864 - 26*sqrt(19) Simplify (sqrt(228)*1*-2)/(sqrt(96)/(sqrt(16)/sqrt(2))). -2*sqrt(19) Simplify 2 + (-4 + sqrt(684)*-3 + sqrt(19))**2. 136*sqrt(19) + 5509 Simplify sqrt(30)/(sqrt(50)/sqrt(320)) + 0. 8*sqrt(3) Simplify -1 + (sqrt(5) - (-3 + sqrt(5) - sqrt(5))**2) + sqrt(5)*-3 + -4. -14 - 2*sqrt(5) Simplify 4*((-2 + sqrt(180))**2 + -2*((sqrt(5) + 0)**2 - sqrt(5)) + sqrt(5)). -84*sqrt(5) + 696 Simplify ((4 + sqrt(1900) + sqrt(1900) - sqrt(1900) - sqrt(1900) - sqrt(19)) + sqrt(19) - sqrt(19))**2 + sqrt(19) - sqrt(133)/(sqrt(14)/sqrt(2)). -8*sqrt(19) + 35 Simplify (-2 + sqrt(6)/sqrt(3))*6. -12 + 6*sqrt(2) Simplify (sqrt(18) + 3)*3. 9 + 9*sqrt(2) Simplify ((sqrt(17) - sqrt(204)/(3*sqrt(12))) + -3)*2. -6 + 4*sqrt(17)/3 Simplify (5*sqrt(468))/sqrt(4). 15*sqrt(13) Simplify (-6*(sqrt(2) + sqrt(2) + sqrt(8)/sqrt(4)) + (sqrt(2) - (sqrt(32) + -4)))**2. -168*sqrt(2) + 898 Simplify sqrt(68) + 0 + -3. -3 + 2*sqrt(17) Simplify (sqrt(891) + 0)**2*-5. -4455 Simplify ((-1*sqrt(70))/sqrt(10) + 5 + (sqrt(7) - 1*sqrt(7)))**2. -10*sqrt(7) + 32 Simplify (4*sqrt(405)*1 + -4)**2. -288*sqrt(5) + 6496 Simplify 3*(sqrt(637) + -2) + 1. -5 + 21*sqrt(13) Simplify (sqrt(140)/sqrt(63))/(-4*sqrt(20)/sqrt(2) + sqrt(10)). -sqrt(2)/9 Simplify 0 + (sqrt(640) + (sqrt(640) - (sqrt(640) + sqrt(640) + sqrt(640)*-1)) + sqrt(640) - sqrt(40))/(-1*sqrt(392)). -sqrt(5) Simplify (2*sqrt(153)*4)/sqrt(9). 8*sqrt(17) Simplify (0 + (sqrt(343) + 1 - sqrt(343)))**2 + sqrt(343). 1 + 7*sqrt(7) Simplify (sqrt(216) - -1*sqrt(216))/((sqrt(8) - sqrt(8)*3 - sqrt(8))*2). -sqrt(3) Simplify ((sqrt(6)/sqrt(3)*2 - sqrt(2))*6 - -2*sqrt(24)/sqrt(3))**2. 200 Simplify -1 + 1*(2 + sqrt(5)). 1 + sqrt(5) Simplify (1 + 0 + sqrt(19) - sqrt(19)) + -2. -1 Simplify 6*(sqrt(1216) + 1) - sqrt(1216). 6 + 40*sqrt(19) Simplify sqrt(35)/sqrt(7) + -4 - (sqrt(180) + -4). -5*sqrt(5) Simplify (-2*1*sqrt(17)*-2)**2. 272 Simplify (sqrt(57) - sqrt(912)*-4)/(sqrt(3) - (sqrt(363) - (sqrt(363)*-1 + sqrt(363)))). -17*sqrt(19)/10 Simplify sqrt(52) + -1 - 3*sqrt(13)*1. -sqrt(13) - 1 Simplify (3*sqrt(850))/sqrt(2). 15*sqrt(17) Simplify (0 + -1*sqrt(117))**2*3. 351 Simplify sqrt(272) + -1 + ((sqrt(187)*-2)/sqrt(11))**2. 4*sqrt(17) + 67 Simplify sqrt(15)/sqrt(5)*-1 + 0. -sqrt(3) Simplify (-2*sqrt(152)*-5)/((sqrt(80)*-1)/sqrt(10)). -10*sqrt(19) Simplify (1 + sqrt(13) + 3)**2 + 5. 8*sqrt(13) + 34 Simplify (sqrt(80)/(sqrt(12)/sqrt(3)))/(2*sqrt(160)). sqrt(2)/8 Simplify (5 + (sqrt(2) - sqrt(32)))**2 - -2*sqrt(2)*1. -28*sqrt(2) + 43 Simplify (sqrt(363)/(-1*sqrt(11)))/(-1*sqrt(243)). sqrt(11)/9 Simplify (sqrt(143) + (sqrt(143) - -5*(sqrt(143) + sqrt(143) + -1*sqrt(143) - sqrt(143))) - sqrt(143))/(sqrt(11)*2*4). sqrt(13)/8 Simplify -5*(sqrt(7) + sqrt(7) + -3) - (-4*sqrt(7) + 2)**2. -101 + 6*sqrt(7) Simplify (sqrt(190)/(sqrt(25)/sqrt(5)))/(-6*sqrt(10)/sqrt(5)). -sqrt(19)/6 Simplify 3 + sqrt(18)/(3*sqrt(9)) + sqrt(2). 4*sqrt(2)/3 + 3 Simpli
{ "pile_set_name": "DM Mathematics" }
.3 Let j be (-4 - (-15 + 7))/(56/6). Which is the nearest to -0.1? (a) 2/25 (b) -2 (c) 0.4 (d) j a Let o = 0.0879 + 0.9121. Which is the closest to 0? (a) o (b) 14 (c) 4/19 c Let l = -5.842 - -92.842. Let i = -333.18 - -420.3. Let p = l - i. Which is the nearest to 0.1? (a) 4 (b) p (c) -2 b Let v = -1576/75 - -542/25. What is the nearest to 0.1 in -130, v, -2/5? -2/5 Let i = -1 + 1. Let m = -1.01 - -1.31. Suppose -4*s + y + 21 + 7 = 0, -20 = 5*y. Which is the closest to i? (a) m (b) s (c) -3 a Let c be 0 + 3 - (-55)/(-25). Let n = c + -21/20. Let s = 1/168 - 127/168. What is the closest to -1/4 in -5, s, n? n Let q(b) = 16*b**2 - 68*b - 56. Let m be q(5). Suppose -2*x - 2*x + 20 = 0. Let c = -1 + -1. What is the nearest to 0 in x, m, c? c Let z be ((-55)/(-44))/5*2. Which is the closest to z? (a) -4 (b) -1/22 (c) -3 b Suppose -53 = 24*j - 62*j + 23. Which is the nearest to 134? (a) 3 (b) -0.5 (c) j a Let y = 6 - 5.88. Let n = -0.38 - y. Let i = 26 + -29. What is the closest to 2/5 in 0.5, n, i? 0.5 Suppose 0 = 4*p - 9*p + 5*d + 5, 2*p + 2*d + 2 = 0. Let s be (-3)/12 - (-126)/312. What is the closest to p in -2, -2.7, s? s Let h(y) = -2*y**2 + 7*y + 1. Let o be h(3). Let f = 8680.7 + -8681. Which is the nearest to o? (a) -4 (b) 3 (c) f b Let v = -4.9 - -0.9. Let x = v + 2. Let z = -7.3544 + 6.3544. What is the nearest to x in 2/9, z, 0.4? z Let s be 1/(-2)*2*-1. Suppose -182*j + 177*j - 37 = -2*o, -5*o + 2*j + 19 = 0. Which is the closest to o? (a) -5 (b) 2/7 (c) 3 (d) s d Let g = 3 - 4. Let v = 28.3 - 13.6. Let z = 17.7 - v. Which is the closest to g? (a) z (b) 7 (c) 1 c Let i = 0.02549 - 0.22549. Which is the nearest to i? (a) -1/6 (b) -76 (c) -1 a Suppose 0*u - 50 = -u + 5*n, -5*u + 170 = -5*n. Let q be (u/(-6) - -1)*-1. Which is the nearest to 0? (a) -1/3 (b) -2 (c) q a Suppose 6 = 2*q - 5*g + 22, -2*q - 14 = -4*g. Let o = 164 + -165. Which is the closest to -1/2? (a) 0.1 (b) q (c) -0.03 (d) o c Let z = -434.8 + 57.8. Let h = -376 - z. Let f = -0.1 + -0.9. What is the nearest to h in -4, f, 5? f Let g = 7.2 + -7.4. Let c be 1*(-2 - -2)/(-4 + 6). Let s = 4.1 + -4. What is the closest to c in s, g, 0.5? s Let k = 2064.98 + -2065. What is the closest to -1/3 in -9, -4, -1/2, k? -1/2 Let k be (-1 + (-286)/(-294))/(114/(-1709487)). Let i = 162 - -246. Let v = k - i. What is the nearest to -0.1 in v, -5, -0.1? -0.1 Let k(f) = 2*f + 3. Let h(n) = 31*n - 123. Let m(w) = -h(w) + 4*k(w). Let g be m(6). Which is the closest to -1? (a) g (b) 0.2 (c) 2/5 b Let c = -19766 - -19766. What is the nearest to c in 3/7, 1/3, 407? 1/3 Let m = -62 + 60.5. Let x = m + 1. Which is the closest to 2/3? (a) x (b) -0.03 (c) -4 b Let r = -2.62 + 2.62. Let y = -362 + 367. What is the nearest to 1 in 4, y, r? r Suppose 45 = -0*u + 5*u. Let h = 3.1227 - 4.1227. Which is the nearest to -1/6? (a) u (b) -0.4 (c) h b Let y = 625 - 307. Let g = -314 + y. Let j = 0 - 1. Which is the nearest to -0.1? (a) g (b) j (c) 6 b Let a = -14 + 20. Suppose 5*q + 12 = -v, -4*q = -3*q - v + a. Suppose -x - 25 = -2*x - 5*n, 2*x + 15 = 3*n. What is the nearest to x in 5, q, -1? -1 Let h(r) = -r**3 + 136*r**2 - 268*r + 2. Let p be h(134). Which is the nearest to -0.4? (a) 1/8 (b) -2/11 (c) p (d) -1/2 d Let y = 234.753 - 235. Let a = y + 0.047. What is the nearest to 0.5 in 0, 4, a? 0 Suppose 2*w + 4 = r, 3*w + 6 = -4*r + 66. Suppose r*z + 22 = -2. Let o be -1 - z*(-6)/(-3). Which is the closest to 0.2? (a) 1/2 (b) o (c) -2/5 a Let f = -0.078 + -66.922. Let t = -43 - f. Let m = t + -23.7. What is the nearest to -1/8 in m, 2/5, -5? m Let i = -993.9 - -994. Let r = -0.03 + -6.67. Let s = r - -7. What is the closest to -2/5 in i, s, 2/9? i Let u = 109 - 111. Let x = 0.389 - 0.089. What is the nearest to u in 3, 1/3, x? x Let k be 29*50/5075 - (360/(-21))/(-4). Let w be 0 - 2/((-2)/9). Let p be ((-4)/(-1))/(w/(-1)). Which is the closest to k? (a) p (b) -0.1 (c) -0.4 a Let o = -3965.8 + 3954.8. Let n = 6 - 9. Which is the closest to 0? (a) o (b) n (c) -4 b Let d = -6.294 - -5.614. What is the nearest to -2 in -1/2, 4/9, 1, d? d Let f = 11965 - 11964.8. Which is the closest to -0.5? (a) -5/6 (b) -53 (c) f a Suppose w - 1 = 0, -w = m - 0*w - 2. Let r be m/(-9)*3 - 2/(-42). What is the closest to r in -4/11, 0.3, 1/7? -4/11 Let r = -319 - -357. Let w = -11 + r. What is the nearest to w in -5, 2/13, 0.4? 0.4 Let w = 0.55342 - 0.95342. Let r = -6 + 2. Suppose 5*f - 5*p + 2*p = 16, -4*p = -2*f - 2. Which is the closest to 2? (a) w (b) f (c) r a Let v = 17116.95 - 17117. Which is the nearest to v? (a) -3 (b) 2 (c) -2 (d) 5 c Let l = 181.7 - 165.7. Which is the closest to l? (a) 1 (b) 0 (c) -7 a Suppose -3310*h - 12 = -3329*h + 7. Which is the closest to 183? (a) h (b) -5/4 (c) -9 a Let t = 34.85 - 37.7. Let n = t + 0.85. Which is the nearest to -0.1? (a) -0.5 (b) -3 (c) 1.2 (d) n a Let b = -6.3 + 0.3. Let v = 480105 - 480105. What is the nearest to -1 in 5, v, 0.5, b? v Let i = -86.27 - -86.77. What is the nearest to -7 in 0, i, -11? -11 Let u(o) = 9*o**2 + 144*o + 1. Let k be u(-16). What is the closest to -2/3 in -1207, k, 0? 0 Suppose -3*n + 2088 = -3*l, -4*l + 41*n = 39*n + 2778. Which is the closest to -1? (a) -4/3 (b) l (c) -3 a Let r = 635.6 - 640.6. Let i be (-5)/2 + (-3 - -5). What is the closest to 7 in i, r, 3/5? 3/5 Suppose 19*z + 88*z = 27*z + 160. What is the closest to -0.1 in 0.3, z, -6/287? -6/287 Let r = 3920 + -2179. Let n = r - 1739.991. Let g = 0.009 - n. What is the nearest to 0.1 in 0, g, -5/4? 0 Let w = 24.156 - 20.156. Let v be (-1)/((-3)/(5 - 2)). What is the closest to -1/6 in w, v, 0.4? 0.4 Let v = 2.04 + -0.04. Let n = 5510 + -5509.6. Let z(h) = -h**3 - 4*h**2 - 3*h. Let b be z(-3). What is the closest to b in v, -0.1, n? -0.1 Suppose -2 = 4*v - h, 5*h = -v - 0*v - 11. Let n = 1028 + -1021.49. Let p = -6.31 + n. Which is the nearest to -1? (a) 0.3 (b) v (c) p b Let v be 6 + -10 - (-3 + 2). Let o be (10/(-25))/(v/(-5)). Let s = 551/2486 - 9/226. What is the closest to 0.12 in 0.2, o, s? s Let g be (-22)/(-363) - 897/99. Which is the closest to 5? (a) g (b) -1/2 (c) 1/18 c Suppose -9*b + 8 = -5*m - 7*b, -3*m - 4*b = -16. Suppose 4*i + 11 = -3*f, 2*f - 12 = 5*i + 4*f. Let y = -0.77 - 0.03. What is the nearest to m in -0.4, i, y? -0.4 Let n = -3536 - -24754/7. Which is the closest to -5? (a) -2 (b) -0.3 (c) -1/5 (d) n a Let p be ((-24)/(-18) + -2)*18 - -7. Let i = 341 - 383. What is the nearest to i in p, -3, -0.4? p Let k = 22 + -21.53. Let f = -0.4 + k. Let t be 2109/(-1406) - (34/(-84) - 1). Which is the closest to 1? (a) t (b) f (c) -1 b Let q = -84 - -20. Let g = 64.3 + q. Let o = g - 0.4. What is the closest to o in 0.2, -4, -0.1? -0.1 Let w = -1 - 3. Let t = 3 + w. Let n = -5823/4 + 1456. Which is the closest to 1? (a) t (b) -2/13 (c) n c Let r = -67889 + 67890. Suppose -4*v = 12, 5*w + 4*v = 2 - 24. Let f be ((-2)/(-4))/(w/(-4)). Which is the closest to f? (a) r (b) 3 (c) 2 a Let l = -5807.1 - -5807. Which is the nearest to -78? (a) 3 (b) l (c) 5 (d) -3 d Let a = 583.9 + -584.9. Let f be (-2)/(-5) - 74/10. What is the closest to -1/2 in a, 3, 0.5, f? a Let m = 9 - 26/3. Let k = 0 - -3. Let n = 113.83 + -114.13. What is the closest to 1 in m, k, n? m Let v = -2251.53 - -2251.03. Let q = -104/9 + 746/63. Which is the closest to 104? (a) q (b) -3 (c) v a Let g = -239377.5 + 239378. Suppose -6*s = -2*s + 40. What is the nearest to -0.1 in 1, s, g? g Let g be 12/5 - (-4)/(-10). Let j = -45151/13 - -3475. Let w = j + -2. Which is the closest to 0.3? (a) -1/4 (b) w (c) g b Let a = -21638 - -21637.7. What is the nearest to 2 in a, 29, 1, -1/17? 1 Let m = -0.93 - 0.07. Let n = -0.66465 + 0.36465. What is the closest to m in n, -25, 3/7? n Suppose 4*n - 3*o = 16, -5*n - 3*o + 47 = -0*o. Let d = 188/45 - 22/5. What is the closest to n in 3, d, 4? 4 Let u = 128.27 - -3.23. Let o = -134 + u. Which is the closest to 0.1? (a) o (b) -0.2 (c) -2/11 c Suppose 62*q + 10 = 64*q - 5*l, 22*q = 5*l - 190. What is the closest to 1/10 in 1, q, 63? 1 Let p = 653 + -1075. Let l = -417 - p. Which is the closest to -53? (a) 0.3 (b) 4 (c) l a Let x be (-20)/(-16)*(-4)/10. Which i
{ "pile_set_name": "DM Mathematics" }
b of sequence hw when two letters picked without replacement from ppwzhhwzwhwww? 3/26 What is prob of sequence vxvg when four letters picked without replacement from {g: 2, v: 2, x: 4, f: 2}? 1/315 Calculate prob of sequence hb when two letters picked without replacement from kbhhkhkbhhhhkb. 3/26 Two letters picked without replacement from fswfwrxrwwfswfd. Give prob of sequence fw. 2/21 Four letters picked without replacement from {g: 3, l: 3, b: 4, m: 2, a: 4}. What is prob of sequence bbaa? 3/910 Three letters picked without replacement from ddmddcyywccwwcddd. What is prob of sequence myw? 1/680 Two letters picked without replacement from lcwwnqz. What is prob of sequence qw? 1/21 What is prob of sequence zz when two letters picked without replacement from {x: 3, f: 3, a: 4, v: 1, j: 4, z: 2}? 1/136 What is prob of sequence oolo when four letters picked without replacement from {l: 17, o: 3}? 1/1140 What is prob of sequence zrl when three letters picked without replacement from lrzir? 1/30 Three letters picked without replacement from iiigg. What is prob of sequence iig? 1/5 Four letters picked without replacement from {r: 2, b: 1, e: 2}. What is prob of sequence errb? 1/30 Calculate prob of sequence ojh when three letters picked without replacement from {b: 6, m: 3, j: 4, o: 1, h: 1}. 2/1365 Calculate prob of sequence kyh when three letters picked without replacement from qyyryqykyyqqyqh. 1/390 Three letters picked without replacement from {m: 5, f: 1, u: 2, t: 1}. Give prob of sequence mtm. 5/126 Two letters picked without replacement from {c: 2, b: 1, o: 3, a: 4}. What is prob of sequence ca? 4/45 Two letters picked without replacement from {k: 1, c: 1, j: 1, l: 8, e: 1}. Give prob of sequence lc. 2/33 Two letters picked without replacement from asassekkkpo. Give prob of sequence os. 3/110 Four letters picked without replacement from ddsssdssdssdsdsddds. Give prob of sequence ssds. 45/646 Two letters picked without replacement from {n: 3, t: 5, w: 5}. What is prob of sequence tw? 25/156 Three letters picked without replacement from {t: 1, h: 2, b: 2, r: 9}. What is prob of sequence hbb? 1/546 What is prob of sequence unu when three letters picked without replacement from uuuttrnsrre? 1/165 Calculate prob of sequence qn when two letters picked without replacement from fqexxnl. 1/42 What is prob of sequence ppw when three letters picked without replacement from prrnwwnpw? 1/84 Two letters picked without replacement from {v: 5, n: 2, d: 3}. What is prob of sequence dn? 1/15 Four letters picked without replacement from {s: 4, j: 3}. Give prob of sequence ssjj. 3/35 Calculate prob of sequence mos when three letters picked without replacement from muuusmou. 1/168 Calculate prob of sequence szf when three letters picked without replacement from zisvzvzfz. 1/126 What is prob of sequence ihh when three letters picked without replacement from ihihhiii? 5/56 What is prob of sequence mm when two letters picked without replacement from {a: 11, m: 3}? 3/91 What is prob of sequence ukm when three letters picked without replacement from {u: 2, b: 3, i: 2, k: 1, m: 4}? 1/165 Calculate prob of sequence xp when two letters picked without replacement from ybpybbpxbppby. 1/39 Three letters picked without replacement from kikf. Give prob of sequence fkk. 1/12 Three letters picked without replacement from {j: 3, m: 5, s: 4, x: 1}. What is prob of sequence jss? 3/143 Three letters picked without replacement from htbsbfm. Give prob of sequence sbb. 1/105 What is prob of sequence pp when two letters picked without replacement from ppppvvvpvpvppp? 36/91 Two letters picked without replacement from {u: 5, b: 8}. Give prob of sequence bb. 14/39 Two letters picked without replacement from jjjjjjjjbjbj. What is prob of sequence bb? 1/66 Two letters picked without replacement from aagagogwoggggwawa. What is prob of sequence ow? 3/136 What is prob of sequence bk when two letters picked without replacement from hbaekaehxhkahaa? 1/105 Four letters picked without replacement from pccpcczpzzzcppcgzc. Give prob of sequence gppz. 5/3672 Three letters picked without replacement from {z: 1, m: 1, r: 1, x: 1, n: 1}. What is prob of sequence rmz? 1/60 What is prob of sequence ic when two letters picked without replacement from wckwiiimiccick? 10/91 Three letters picked without replacement from xjq. Give prob of sequence xjj. 0 What is prob of sequence ro when two letters picked without replacement from obbrv? 1/20 What is prob of sequence cbc when three letters picked without replacement from {c: 2, w: 1, b: 2}? 1/15 Calculate prob of sequence nmam when four letters picked without replacement from pmjjjjanopjjjmjon. 1/14280 Calculate prob of sequence nn when two letters picked without replacement from issnn. 1/10 Three letters picked without replacement from hovphhmomhphoouhoo. Give prob of sequence uvm. 1/2448 What is prob of sequence ppq when three letters picked without replacement from qps? 0 Two letters picked without replacement from zmmzzbbbbo. What is prob of sequence mz? 1/15 Calculate prob of sequence wnus when four letters picked without replacement from nswbubswsunuuwnu. 9/2912 Calculate prob of sequence eqc when three letters picked without replacement from {q: 2, e: 2, c: 4}. 1/21 Four letters picked without replacement from ffizxzfcff. What is prob of sequence fizf? 1/126 Three letters picked without replacement from {r: 1, h: 2, p: 1, c: 2}. Give prob of sequence hph. 1/60 Calculate prob of sequence yy when two letters picked without replacement from {y: 13, c: 6}. 26/57 Two letters picked without replacement from {q: 2, s: 1, o: 2, w: 2, f: 3, b: 4}. Give prob of sequence fo. 3/91 Three letters picked without replacement from {o: 2, i: 3}. What is prob of sequence ioo? 1/10 Two letters picked without replacement from kkllbbkklbb. Give prob of sequence kk. 6/55 Two letters picked without replacement from {i: 3, w: 3, t: 1, h: 5}. What is prob of sequence iw? 3/44 Four letters picked without replacement from {a: 1, v: 3, t: 13, e: 2}. Give prob of sequence tvea. 13/15504 Two letters picked without replacement from tcjwjt. Give prob of sequence tw. 1/15 What is prob of sequence vvv when three letters picked without replacement from vvrrvrvvrvrvv? 28/143 Three letters picked without replacement from {j: 1, i: 1, c: 5, w: 3, q: 1}. What is prob of sequence jci? 1/198 Three letters picked without replacement from {o: 6, q: 1, p: 4}. Give prob of sequence pqp. 2/165 Two letters picked without replacement from {y: 2, c: 5, f: 2}. What is prob of sequence fy? 1/18 Calculate prob of sequence rrrb when four letters picked without replacement from brxbxxrrrxxxrxr. 2/273 What is prob of sequence ka when two letters picked without replacement from {i: 2, o: 1, y: 1, r: 1, a: 1, k: 1}? 1/42 Two letters picked without replacement from {k: 1, s: 1, b: 1, e: 1, v: 2, x: 1}. What is prob of sequence kv? 1/21 Calculate prob of sequence ggn when three letters picked without replacement from {n: 4, g: 2, h: 1, j: 12}. 4/2907 Four letters picked without replacement from {y: 6, j: 3, o: 6}. What is prob of sequence jyyy? 1/91 Four letters picked without replacement from tddjjtqtdjtjijf. Give prob of sequence diqd. 1/5460 Two letters picked without replacement from gekxpxxx. What is prob of sequence xp? 1/14 Calculate prob of sequence jix when three letters picked without replacement from jiajx. 1/30 Calculate prob of sequence yv when two letters picked without replacement from {v: 4, y: 16}. 16/95 Three letters picked without replacement from {n: 3, b: 2}. Give prob of sequence nnb. 1/5 Calculate prob of sequence bb when two letters picked without replacement from dkbbxxu. 1/21 Three letters picked without replacement from cdzddzdczzdz. Give prob of sequence dcz. 5/132 Three letters picked without replacement from qqqqggqggqgqqqqqqq. Give prob of sequence ggg. 5/408 What is prob of sequence fff when three letters picked without replacement from {f: 3}? 1 Calculate prob of sequence fxnf when four letters picked without replacement from nxnnffuffnfnunnxnfnn. 5/969 Calculate prob of sequence sggs when four letters picked without replacement from sgsssgcstggsgsgs. 1/26 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
ose r = o + 4. Is (-3)/7 - (-820)/r a multiple of 23? True Suppose 10 = -5*w, 3*w = a - 76 - 52. Let z = 239 - a. Does 13 divide z? True Let t = 67 - 66. Let k(s) = -2 + 4*s + 12*s + 1. Is k(t) a multiple of 12? False Let i(f) = -4*f**3 - 13*f**2 - 17*f + 2. Does 63 divide i(-6)? False Let o(c) = c**2 - 2*c - 2. Let j be o(0). Is 3/(-1) - 2 - j - -14 a multiple of 3? False Is 10 a factor of (-14 + (-238)/21)/(2/(-75))? True Suppose -1025 = -2*o - 3*a, 2*o + 3*a - 8*a = 1033. Is 18 a factor of o? False Let z = -873 + 1565. Does 8 divide z? False Let b = -8847 + 17197. Let j be b/(-95) + (-8)/76. Is (j/24)/((-2)/12) a multiple of 11? True Let p(z) = -2*z**2 - 3*z - 7. Let k be p(-5). Let u = 128 + -141. Let c = u - k. Is c a multiple of 5? False Suppose -x - 3 = -2. Let b be 7/35 + x/5. Suppose u + 2*g - 25 = 0, -u - 2*u - 5*g + 71 = b. Is u a multiple of 14? False Let g(y) = -y**3 - 8*y**2 - y - 3. Let l be g(-8). Suppose -2*j + 0*j - 134 = -5*w, -l*w = -20. Is 11 a factor of 21/14 + j/(-2)? False Let d(g) = -g**3 + g**2 + 4*g - 7. Let a be d(0). Let t(m) = -m**3 - 6*m**2 + 3*m + 3. Is t(a) a multiple of 6? False Let u(v) = -v + 23. Let n be u(20). Suppose n*q + 9*w - 4*w = 93, 5*q = 3*w + 189. Does 12 divide q? True Let g be 4/26 + (-111)/(-39). Is (g + 6)*((-35)/(-15) + 0) a multiple of 5? False Let c be 2/((-19)/7 + 3). Let k(h) = c + 4 + 0 + 3 - h. Is k(8) a multiple of 2? True Let c = -55 - -126. Suppose 4*f - 389 - c = 0. Does 23 divide f? True Let v be -1 + 2/2 + -12. Suppose -4*a - 6 = 82. Let h = v - a. Does 10 divide h? True Suppose -f = -2*k + 1043, 40*k - 35*k = 2*f + 2606. Is k a multiple of 40? True Suppose 23 = -2*p + 25. Is (114 - (0 - -3)) + (-1)/p a multiple of 19? False Suppose 8*m - 137 - 7 = 0. Does 18 divide m? True Let j = -146 - -218. Suppose 3*b + j = 5*b. Let i = b - 19. Does 12 divide i? False Let g(z) = -z**2 - 28*z - 45. Let p be g(-23). Suppose m - p = -6*m. Is m a multiple of 10? True Let u = -293 - -670. Is u a multiple of 13? True Suppose 3*p - 433 = -2*c, c + 2*p + 458 = 3*c. Does 14 divide c? True Suppose 0 = -2*a - 3*y + 906, -121*a + 5*y - 446 = -122*a. Is 8 a factor of a? True Suppose 2*w - 16 = 3*s, 4*s + 4*w + 16 = -12. Suppose c = 6 + 3. Let d = c + s. Is d even? False Let d = 7786 - 4109. Suppose -10*k + d - 947 = 0. Does 35 divide k? False Let k be (43/(-4))/(5/(-60)). Is (-7 - -8)/(1/k) a multiple of 29? False Let d(q) = 15 + 15*q**2 - 3*q + 7*q**2 - 34*q**2 - q**3. Is d(-12) a multiple of 17? True Let r(a) = -43*a + 10. Let k(m) = -14*m + 2 + 2 - 4 + 3. Let j(n) = -7*k(n) + 2*r(n). Is j(3) a multiple of 14? False Let x be 22/24*-3*4. Let h = -4 - x. Does 6 divide h? False Suppose 0 = 9*c - 2725 - 749. Is c a multiple of 11? False Let n be (-84)/(-6) + -2*(-1)/(-2). Suppose n*x = 5*x + 192. Is x a multiple of 21? False Let q be 2/(-5) + (-60)/(-25). Let y(u) = 2*u**q - 4 - u + 1 - 3*u. Does 6 divide y(-2)? False Let z = 50 - 34. Suppose 0 = z*d - 17*d - 42. Is 3 a factor of 12/d - (-200)/14? False Let l = 575 - 284. Suppose -r + c = -3*c - 31, -5*c - 79 = -3*r. Suppose 4*a + r = l. Is 23 a factor of a? False Let b be (-2)/10 + (-72)/15. Is 4 a factor of -3 - -13 - (b - -7)? True Let w = 9 + -4. Suppose 5*t - 10 = -3*b, -2*t + w*t - 2*b = 25. Is 15 a factor of (25 + -1)*(6 - t)? False Let b = 7 - 2. Suppose 4*y + 0*y - b*f = 254, -3*y + 4*f = -190. Suppose 5*d = 4 + y. Does 14 divide d? True Let p = 46 + 111. Let a = 247 - p. Is a a multiple of 30? True Suppose 2*x + 1 = 13. Suppose 4*z = x*z - 156. Suppose -2*a - 2 = -z. Is a a multiple of 10? False Let h(j) = -22*j**2 + j + j + 12*j**2 + 112 + 9*j**2. Does 12 divide h(0)? False Let q(b) be the third derivative of b**6/120 - 19*b**5/60 + 23*b**4/24 + b**3 - 23*b**2. Does 48 divide q(18)? True Let l(c) = -c**3 + 7*c**2 - 2*c - 5. Let x be l(4). Let k = x - 17. Does 9 divide k? True Let r(g) = -3 + g + 6*g**2 + 4 - 3*g**2. Let t be r(-1). Does 23 divide ((-2)/t)/((-14)/483)? True Let h(f) = -8*f**3 + 3*f**2 - 2*f - 65. Is h(-5) a multiple of 14? False Is 15866/12 + 1/(-6) a multiple of 13? False Let v(m) be the second derivative of -1/2*m**3 - 4*m + 0 + 3*m**2 + 1/3*m**4. Is 11 a factor of v(3)? True Let d(a) = a**3 + a**2 - a. Let w be d(0). Suppose w = -n - 3*n. Suppose 5*q - 4*q + 104 = 3*y, 5*y - 2*q - 175 = n. Is y a multiple of 11? True Suppose -577 = -8*m + 839. Is 59 a factor of m? True Suppose -47*u = -49*u + 1220. Is u a multiple of 55? False Let o = 82 - 51. Is 21 a factor of o*((-1)/(-3) + (-4)/(-6))? False Let i(m) be the second derivative of -m**5/20 + 5*m**4/6 - 2*m**3/3 + 12*m**2 - 2*m. Is 21 a factor of i(8)? False Let p(g) = g**3 + 15*g**2 + 12*g - 20. Let u be p(-14). Is 22 a factor of (u/6)/(20/330)? True Let l = 965 - 910. Does 2 divide l? False Suppose 0 = v - 2 - 3. Let g be -239 + -1 + (-20)/v. Is 39 a factor of (-10)/20*(g + 2)? False Does 67 divide (((-585)/(-60))/13)/((-2)/(-3216))? True Let t be (-1)/4 + (-134)/8. Let w be 1/2*-25*4/(-2). Let z = w + t. Is 3 a factor of z? False Let s(u) = 16*u**3 + u**2 - 2*u + 3. Let x be s(2). Suppose -4*w + 161 = -x. Let p = 115 - w. Is p a multiple of 21? True Suppose -35*i + 38*i = -153. Does 11 divide (-171)/6*17/(i/18)? False Suppose 3*q - 3048 = 5*t, 3*q + 4*t - 366 = 2655. Does 9 divide q? False Does 10 divide 56 - 47 - (-1402)/2? True Suppose 7*b - 481 = 6*b. Is b a multiple of 37? True Suppose 14 = -5*s + 39. Let i be 0 + 3 + s + -3. Suppose 0 = -z - 3*a + 79, 5*z - i*a - 136 = 3*z. Is 19 a factor of z? False Let p(m) be the second derivative of m**4/12 - 2*m**3/3 - 4*m**2 - 9*m. Let r be p(7). Let v(h) = h**3 - 13*h**2 + 6*h + 10. Is 27 a factor of v(r)? False Suppose 3*y = 5*f + 736, 3*y = -2*f + 771 - 7. Is y a multiple of 13? False Let x(u) = u**2 + 17*u + 14. Let r be ((-2)/(-5))/((-12)/60). Let q be (-226)/12 - r/(-12). Does 13 divide x(q)? True Let q = 439 - 201. Is 34 a factor of q? True Let h = -8 - -9. Suppose 4*o + 4 = -5*i, -4*i + h - 2 = o. Is 4 a factor of (-23 + 6 + -3)*o? True Let j be (-15)/10 - (-7)/2. Suppose 0 = -3*l - 12, j*l = 4*p + 11 - 35. Suppose p*d + 3*d - 497 = 0. Does 22 divide d? False Let d be 3/(-6) - 11/(-2). Suppose 0*m = -4*h + 3*m - 1, -d*h = -3*m - 1. Suppose 0 = -5*s - 4*q + 118, h*q - 102 = -3*s - 32. Is 17 a factor of s? False Suppose -3*y = 5*x - 1492, 12*x - 4*y = 11*x + 303. Is 13 a factor of x? True Suppose 0 = 4*m + 8, -5*h + m = -h - 998. Suppose -5*w = -h - 401. Does 15 divide w? False Let y = 116 + -162. Is (y - -1)*28/(-35) a multiple of 9? True Let a(o) = -o**3 - 13*o**2 - o + 8. Let b be a(-13). Let i = 40 - b. Is i a multiple of 4? False Let n be ((-3)/(-3) - 0) + -21. Does 10 divide (4/(-6))/(n/1110)? False Suppose -5*c = -5*h - 7705, 2243 - 702 = c - 5*h. Is 7 a factor of c? False Let z(h) = -h**2 + 25*h + 22. Let b be z(19). Let c = -74 + b. Is 31 a factor of c? True Let j = 1279 - 619. Does 30 divide j? True Suppose 5*g + 0*g - 342 = z, 126 = 2*g + 5*z. Suppose -4*t - 5*b + 28 = -t, -4*t = -b - g. Let s = 22 - t. Is s a multiple of 4? False Let j = -38 + 49. Suppose 0 = u - 51 + j. Is u a multiple of 7? False Let y = 164 + -140. Is y a multiple of 6? True Suppose -44*u = 24*u - 176256. Is 72 a factor of u? True Let n = -27 - -52. Suppose n - 355 = -6*o. Does 11 divide o? True Suppose 0 = 5*r, 3 = -5*u - 4*r + 13. Suppose -u*g = 5*y - 167 - 99, 3*g + y - 425 = 0. Is g a multiple of 11? True Let v(a) = a**2 - 3*a + 4. Let q be v(3). Suppose q*k + 18 = 2. Is 15 a factor of -4 + 2 - (-82 + k)? False Suppose 16859 + 5629 = 8*y. Is 10 a factor of y? False Suppose 8*k - 1000 = -2*k. Suppose -4*m = m - k. Is 2 a factor of m? True Let v(h) = 117*h**2 + 35*h - 93. Is 10 a factor of v(3)? False Let t(s) be the first derivative of -35*s**2/2 + 3*s - 9. Does 36 divide t(-3)? True Suppose 0 = -4*f + 5 - 13. Let i be (-2*(3 + f))/1. Is 9 a factor of (-21 - -3)/(0 + i)? True Does 3 divide 138 + -1 + 1 - (45 - 46)? False Let x(y) = 2*y - 4. Let n be x(4). Suppose j - 188 = -n*z, -j - 2*j + 550 = 5*z. Suppose 0 = 4*m - m - j. Is m a multiple of 30? True Let o(a) = -a**3 - 3*a**2 + 4. Let x be o(-2). Is 3 a factor of -13 + 8 - -35 - (x - -2)? False Suppose 5*l + 2*l - 70 = 0. Let s(x) = -3*x + 12. Let q be s(l). Let g = 83 - q. Is 26 a fac
{ "pile_set_name": "DM Mathematics" }
d(-1) a composite number? False Let b(u) = u**2 + 8*u + 2. Let l be b(-8). Is (148/(2 + 0))/l a prime number? True Let k(n) = 2110*n**3 - 6*n**2 + 4*n - 3. Is k(2) a prime number? False Suppose -3*z + 8 = 4*i, 4*z + 4*i - 11 + 3 = 0. Suppose -5*u - 12 + 22 = z. Suppose -u*x - 8 = 0, -3*x - 310 = c - 3*c. Is c prime? True Is (-2874)/15*25/(-2) a composite number? True Suppose -916 = -o + 12*i - 13*i, 3*i = -2*o + 1829. Is o a composite number? False Let f = -56774 - -98211. Is f a composite number? True Suppose z + 2*o = 4899, -14662 = -3*z + 5*o - 4*o. Is z prime? True Let r be 1/(-4) + (-26089)/(-4). Suppose 3*k = j + 4*j + r, 4373 = 2*k + 5*j. Is k prime? True Let d(b) = -1435*b + 198. Is d(-17) prime? True Suppose -623 = 4*v + 465. Let c = 725 - v. Is c composite? False Let a(g) = 19*g**2 - 3*g - 227. Is a(-18) composite? True Let s = -4 + 16. Suppose s = 3*u - u. Is (-1 - -396)*u/15 composite? True Let h(f) = 9*f**2 + 3*f + 8. Let b(c) = 10*c**2 + 4*c + 9. Let m be ((-8)/3)/((-2)/3). Let w(r) = m*h(r) - 3*b(r). Is w(5) composite? True Suppose -3*d + 14 - 2 = 0, 0 = -4*t - 5*d + 8. Is t + (-10)/(-2) + 47 a composite number? True Let i = -741 + 355. Let c be (-3 - -1) + (14 - i). Suppose 0 = -2*r + c - 28. Is r composite? True Suppose 0 = 5*q + 4*l - l - 226, -4*l + 35 = q. Suppose 12 - q = -5*g. Suppose 163 = -6*m + g*m. Is m prime? True Let q = -3 + 7. Suppose q = -4*d + 12. Suppose k + w - 359 = -112, -d*k = 4*w - 486. Is k composite? False Let u be (-4)/(-16) + 76/16. Is -1*6/3 + 1325/u composite? False Is 2672698/(-203)*(2/(-4) + 0) a composite number? True Let l be ((2 - 2) + -4)/(1 + -2). Suppose -l*y - 3176 = -4*f, 2*f - 2358 = -f - 5*y. Is f a prime number? False Let t(k) = k**2 - 11*k + 12. Let c be t(10). Suppose b - p - 2741 = -c*p, -5*b = -p - 13705. Is b a composite number? False Suppose 3*z = 5*s - 1, 4*s = 24 - 4. Let o(a) = 15*a**2 - 6*a + 7. Is o(z) composite? False Let b(l) = -135*l - 28. Is b(-9) a prime number? True Let u = -75 + 129. Let h = u - 24. Is -508*(h/(-8))/5 a prime number? False Suppose 5*t - 167 = -v, 4*v - 3*t - 548 = t. Suppose -4*l - 46 + v = 0. Suppose -2*m = -62 - l. Is m a composite number? False Let f = 34 + -31. Suppose -2115 = -2*c + h, -4*h = c - f*h - 1050. Is c a composite number? True Is 32760 + 27 + -28 + 12/(-2) composite? True Suppose -3*k + 7087 = -41816. Is k a prime number? True Let j = 27 - 44. Let r = 19 + j. Is (199/r)/((-2)/(-4)) a prime number? True Suppose u - 2 = -a, -1 = 2*u + 3. Is 3/a + 41/4 a prime number? True Let i = 294382 + -206843. Is i a composite number? False Suppose 0*x - 12 = -2*x. Let r(u) = 165*u**2 - u - 10. Let z be r(x). Suppose -5*i + i = -z. Is i a prime number? True Let y = -389 - -95. Let z = -167 - y. Is z a prime number? True Let n = -11 - -13. Is (-2169)/(-4) - 1/8*n composite? True Let t(a) = a**3 + 6*a**2 - 7*a - 6. Let c be t(-6). Let u be (c/16)/(3/(-8)). Let n = u - -41. Is n a prime number? False Let o = 868 + 531. Is o prime? True Let o = -6232 + 18613. Is o a composite number? True Let n(p) = 535*p - 223. Is n(42) prime? True Suppose 1059 = -5*x + 3*b + 33345, x - 5*b = 6444. Is x a composite number? True Let v be (3 - 0) + (8 - 8). Suppose 0*d = -v*d + 117. Suppose d + 55 = u. Is u a composite number? True Let d = -9825 + 14572. Is d prime? False Let q(n) = -465*n + 1. Let v be q(1). Let h = -213 - v. Is h a composite number? False Let v(u) = -2*u + 16. Let l be v(7). Suppose -11 = -o + q - 0, 0 = -l*o - 3*q + 2. Is o composite? False Let s(h) = -h**2 - 12*h - 4*h + 7*h. Let j be s(-9). Is (-4 + j)*(-388)/16 composite? False Let t = -57 - -60. Is (-7480)/(-10) + t/(-1) composite? True Suppose -d = -5*f + 49, 7 + 8 = 2*f - 5*d. Suppose 9*t + 3 = f*t. Suppose -t*q = 542 - 1997. Is q prime? False Let t be -15*(4 - (-4047)/(-9)). Suppose -t = 3*v - 8*v. Is v composite? True Suppose -5*r + 62270 = 14495. Suppose -4*j + 0*j = 5*d - r, 0 = 4*j + 20. Is d a prime number? False Let n be ((-12)/(-42))/(2/14). Suppose 2*w + n*j = 2 + 4, 3*w + j - 7 = 0. Suppose -2*c = -2*a - 110, -w*c = -0*c + 5*a - 110. Is c prime? False Let l be (2 + -3 - -3) + 4. Suppose -z = -l*z + 4*y - 88, 2*y + 6 = 0. Is 3/4 + (-10085)/z a prime number? False Suppose 0*k - 23445 = -5*k. Suppose 5*x - k = 8*x. Is x/(-6)*(4 + -2) a composite number? False Suppose -6*v + 45364 = 16*v. Is v prime? False Suppose -5*u + 5303 = -4*u. Is u a prime number? True Suppose 35435 = 5*j - 5*x, 0 = -3*j - x + 20353 + 924. Is j composite? True Let c = 32399 + -14130. Is c prime? True Let o = 79 - 985. Let w = -365 - o. Is w a prime number? True Suppose 2294 + 471 = 5*s. Is 0/(-1) + (-2)/(-2)*s a composite number? True Suppose 5*y + 42685 = 3*z + 6259, -2*y + 48594 = 4*z. Is z prime? False Let g be (-6)/15 + (-6)/10. Is (((-4863)/(-9))/g)/((-3)/9) a composite number? False Suppose -6*g + 13756 + 13574 = 0. Is g prime? False Let b = -1674 + 2921. Is b a composite number? True Let m(q) = 6*q**3 + 5*q**2 + 5*q - 6. Let f be m(6). Suppose -5*a - 55 - f = 0. Let t = a - -438. Is t prime? True Let a = 26 + -21. Let y(j) = 4*j**3 - 5*j**2 + 4. Is y(a) composite? False Is 3271 - 9/3 - -3 prime? True Let d be (-38)/(-5) + 6/15. Suppose 6*g + d = -4. Is 86 + -1 + 4/g composite? False Suppose -o + 18 = 2*o. Suppose 4*q = 3*q. Is 3/o*(q + 634) prime? True Suppose -18*h - 4*o = -13*h - 120989, 4*h - 96790 = -2*o. Is h a prime number? True Suppose -580625 = -26*b + 70857. Is b a composite number? False Suppose -2*c = -4*c + 2. Suppose 0 = -4*m + 3 + c. Let h(z) = 156*z**3 + z**2. Is h(m) a composite number? False Suppose -10 = j + 3*w, -3*j - w - 2*w = 0. Suppose 3*g = -2*h + 1299 + 1574, 0 = -j*g + 2*h + 4799. Is g a composite number? True Suppose -2*p - 5*k - 20 = 0, 0 + 11 = -3*p + 2*k. Is (83 - 0) + p/(20/16) prime? True Suppose -n - 20 = 2*q + 3*q, -3*q = -4*n - 11. Let w(t) = 15*t**2 + t + 15. Let a(r) = -5*r**2 - 5. Let j(g) = 8*a(g) + 3*w(g). Is j(n) a prime number? False Suppose c - 5*c - w + 725 = 0, -5 = -5*w. Suppose c = 2*z - 241. Is z a composite number? False Let p be ((-171)/9)/(-1 + 4/5). Let s = p - 8. Is s a composite number? True Suppose 474 = 2*a - 30. Let z be (-603)/(-1) - (-2 - 0). Let n = z - a. Is n prime? True Let l(s) = 66*s**2 - 12*s - 37. Is l(25) a composite number? True Let j(o) = 11*o - 16. Let w = -29 - -38. Is j(w) a composite number? False Let d = -123 + 208. Is d composite? True Suppose 5*a = 4*t + 252, 0 = -2*a + 3*t - 17 + 122. Let l = a + 283. Is l composite? False Let f = 3811 + -1794. Is f a prime number? True Let g(i) = -i**3 - 15*i**2 + 8*i + 11. Is g(-22) composite? True Suppose 5*f + 142359 = 8*f. Is f a prime number? False Let p(d) be the first derivative of -d**4/2 - 8*d**3/3 + d**2/2 + 12*d - 4. Is p(-9) a composite number? True Suppose -4*h - 50 = -14*h. Suppose 5*x + 0*x + h*a - 4300 = 0, 5*x + 2*a - 4297 = 0. Is x a prime number? True Let h be (-2)/(-7) - 654/(-14). Let l = h - 36. Is l prime? True Is 3261/((-5)/5 + 4) prime? True Suppose -8 = -4*q + 12. Suppose -j - 277 = q*p + 174, -j = 2*p + 457. Let b = -283 - j. Is b composite? True Let h = 4 + -2. Suppose 0 = -3*k + h*p + 723, 2*k - p + 137 = 618. Is k a composite number? False Let i = 8 + -11. Let u be -6*(1 + (-5 - i)). Suppose 0 = v - u*v + 2035. Is v composite? True Suppose 27*y - 24791 = 4558. Is y a composite number? False Let c = 23 - 20. Suppose 2*g - 3*g + 31 = -c*d, 5*g + 5 = -d. Is 348/10 + (-2)/d a prime number? False Suppose 4*j + 5 = 5*j. Suppose 0 = -f - 5*c + 248, -3*c + 1262 = j*f - 0*f. Is f a prime number? False Suppose 5*n + 8 = -2, -a = 3*n - 1221. Let f = -490 + a. Is f prime? False Suppose -4*l + 8*l + 360 = 0. Let p = l + 145. Is p prime? False Suppose 2*y - 10952 = -4*k + 1656, -2*k + y + 6300 = 0. Is k a prime number? False Let m(a) = 554*a**2 - 13*a - 14. Is m(-5) a prime number? True Let b = -1435 + 963. Let g = b + 1275. Let u = g - -98. Is u a prime number? False Suppose 2*t + 1 = 3*g - 10, -g = -1. Let f be 1/(t/(-3) - 1). Is (-74)/(-2) - -3 - f prime? True Suppose -4*q - 5808 = 5*b, -b - 4*b = 5*q + 7265. Let s = -534 - q. Is s composite? True Suppose 176 = -5*f + 8891. Suppose 3*i - 3*m = f, -m - 238 + 2587 = 4*i. Suppose -2*s + 4*s = i. Is s a prime number? True Suppose
{ "pile_set_name": "DM Mathematics" }
5 + 4*a + 6 + 57. Is r(0) a multiple of 11? False Is 12 a factor of (4 + -24)*-3*1? True Let h(o) = -2 + 6*o - o**2 - 4 + 0. Let k be h(5). Does 7 divide 15 - (-1 + 1 + k)? False Let p = 81 + -15. Let d = p - 43. Does 11 divide d? False Let a be 24 + ((-3)/(-1) - 4). Let x = -19 + a. Is 2 a factor of x? True Let s = -13 - -32. Is s a multiple of 4? False Suppose 2*v = -3*b + 93, 10*v - 195 = 5*v + 5*b. Is 21 a factor of v? True Let j = 132 + -72. Suppose -2*s = -7*s + j. Is s a multiple of 6? True Let p be 2/(-7) - 4/(-14). Suppose p = -2*c - 2*c + 300. Does 25 divide c? True Does 4 divide (160/1)/4 - 0? True Let d(r) = 3*r**2 + 4*r + 1. Suppose 0 = 3*u - 5*u + 8. Suppose -f = -u*f - 12. Does 13 divide d(f)? False Does 4 divide 160/9 + (-6)/(-27)? False Let d(q) = 3*q**2 - 4*q. Does 12 divide d(4)? False Suppose 4*f - 16 - 54 = 2*q, 5*f + 5*q - 50 = 0. Let v be (-6)/f + (-96)/(-15). Does 24 divide 39 - (3 - v - 0)? False Suppose -37 = -2*x - 5*t, 3*x = 7*t - 6*t + 47. Does 7 divide x? False Does 10 divide (6/(-12))/(1/(-152))? False Let p be (-1 - (2 - 2))/(-1). Is 13 a factor of 4 - 2 - p - -25? True Suppose 148 = 34*h - 30*h. Is h a multiple of 19? False Let o(y) be the second derivative of -y**5/20 + 2*y**4/3 + y**3/6 - 5*y**2/2 - y. Is o(8) a multiple of 3? True Let r = 125 - 74. Is r a multiple of 9? False Let i be 1/(37/36 + -1). Suppose -4*q = -0 + 8. Does 4 divide ((-3)/9)/(q/i)? False Suppose 2*a - 4*q = -14, -2*a + 27 = -7*a + 2*q. Let z = a - 13. Let c = z - -28. Is c a multiple of 5? True Let p = 7 + -7. Suppose -3*u - 2*u + 15 = p. Is u even? False Let w be 8/(-3)*135/4. Is (12/8)/((-3)/w) a multiple of 12? False Suppose -11 = -5*r + 24. Is r a multiple of 3? False Let m = -26 + 40. Is 8 a factor of m? False Let a(z) = z**2 + z + 7. Is a(6) a multiple of 8? False Let j = -213 - -337. Let c = 76 - j. Let s = c - -93. Does 12 divide s? False Let m = 9 - 6. Is 12 a factor of (44/12 - m)*54? True Let o = 10 + -2. Is 17 a factor of o/6 - 475/(-15)? False Suppose 2*z - 2*i = -22, 0*z = 3*z + 5*i + 33. Let n = -44 + 26. Let s = z - n. Is s a multiple of 4? False Let o(x) = -x + 23. Let v be o(0). Let a = -14 + v. Is 7 a factor of a? False Let j(s) = -s**3 + 3*s**2 - 2*s + 1. Let g be j(3). Let t be 2/(-3) - 4/3. Does 8 divide t/(-2) - (g - 10)? True Let m = 479 + -334. Is 29 a factor of m? True Suppose 0 = -2*g - 5*d + 26, 0 = 4*g + 2*d - 0 - 52. Is g a multiple of 10? False Suppose 5*d - 6*i - 541 = -5*i, 3*d - 2*i = 326. Does 18 divide d? True Let u be -4*(2 - (-15)/(-6)). Suppose -2*s - l = -s - 6, 2*l = u. Is s a multiple of 5? True Let f(m) = m**2 + 7*m - 5. Let p(u) = -2*u**2 - 20*u + 14. Let q(k) = -11*f(k) - 4*p(k). Let y be q(2). Let h = 11 + y. Does 4 divide h? True Suppose -c - 80 = 4*p - 2*c, 34 = -2*p + 2*c. Let u = p - -42. Is u a multiple of 7? True Let t(o) = 4*o - 14. Let u be t(4). Suppose -u*f + 68 - 6 = 0. Does 10 divide f? False Suppose 0 = 2*p + d - 2 - 6, -4*d = -3*p - 10. Suppose 4*z - u - 141 = 0, 0 = -p*z - 3*u + 46 + 21. Is 16 a factor of z? False Let a(z) = 2*z**2 - 4*z - 4. Let n = -4 - -2. Does 4 divide a(n)? True Let o(n) = -n + 7. Let r be o(7). Suppose r = -4*h + 8, 4*u - 139 = u - 2*h. Does 9 divide u? True Let l be 6/10 + 3/(-5). Suppose -5*r - 68 = -l*r - g, -5*r + 5*g = 80. Let t = 22 + r. Is 4 a factor of t? False Suppose 0 = -3*m + 5*m - 24. Is m a multiple of 3? True Let p = 4 + 17. Is ((-60)/(-21))/(6/p) a multiple of 5? True Let h be (-357)/(-7)*(-8)/(-6). Let x = h + -47. Does 7 divide x? True Let q(j) = 30*j**2 + 3 + 9*j**2 - 2. Let h = -6 - -7. Does 14 divide q(h)? False Let w(k) = -k**2 - 3 - 8 + 2*k**2 - 6*k. Does 15 divide w(10)? False Let d = 105 + -75. Is 15 a factor of d? True Let y(z) = -49*z + 8. Is 44 a factor of y(-3)? False Let n = 4 + 5. Suppose -4 = l, -3*l - n = -4*x + 19. Suppose 6*o = 4*o + 5*b + 55, -x*b = 20. Is 15 a factor of o? True Suppose -4*c = -16 - 16. Is 2 a factor of c? True Suppose 0 = 3*u + 6, 26 + 7 = d + 2*u. Let w = d - 19. Does 9 divide w? True Suppose 6 = -3*j + 3. Suppose 49 = -0*k - 5*k + 3*r, 0 = -k + 4*r - 3. Is 5 a factor of 0 - (k + 2 + j)? True Let a be 376/16*(-1 + -1). Let s = a - -68. Is 10 a factor of s? False Let j = -7 + 9. Suppose j*l = -3*l + 255. Is 11 a factor of l? False Let m be -1 - 61/(-2)*6. Suppose -3*o + o = -m. Let u = -18 + o. Is u a multiple of 20? False Let i(s) = -s - 3*s**3 - 11*s**2 - 2*s**3 + 4*s**3 + 12*s**2. Is 13 a factor of i(-3)? True Let w(y) be the first derivative of y**5/20 - 5*y**4/12 + 5*y**3/6 + 3*y**2/2 + y + 1. Let r(b) be the first derivative of w(b). Does 7 divide r(4)? True Let s be (-170)/8 - 3/(-12). Let g = s + 33. Let h = 53 - g. Is 14 a factor of h? False Does 10 divide (-212)/(-7) + 10/(-35)? True Suppose -128 = -5*l + 57. Does 8 divide l? False Suppose -l = -1 - 3. Let u = 5 + l. Is 3 a factor of u? True Suppose -34 + 6 = -o. Is 5 a factor of o? False Let a = -440 - -627. Is 34 a factor of a? False Let n(a) be the third derivative of -a**4/3 - 3*a**3/2 - 3*a**2. Is 16 a factor of n(-7)? False Let o(b) = 311*b**2 + b. Let v be o(1). Is 11 a factor of (1/(-3))/((-8)/v)? False Is 8/20 + (-1090)/(-25) a multiple of 17? False Let k be 2/7 - (-1195)/7. Suppose -k = -2*z + 7. Let c = -61 + z. Does 14 divide c? True Let o(f) = 2*f. Let q be o(1). Suppose 3*p - q*a = 138, -5*p + a + 340 = 117. Is 12 a factor of p? False Let l(t) = -17*t**3 + t**2 - t. Is l(-2) a multiple of 36? False Suppose o - 17 = -d - 1, 3*o - 20 = 4*d. Let s be o/18 - (-728)/6. Does 10 divide 2/3 - s/(-6)? False Let s(l) = -9*l + 49. Let w(o) = 6*o - 33. Let i be 47/(-7) + (-2)/7. Let n(x) = i*w(x) - 5*s(x). Is n(10) a multiple of 8? True Let v(f) = -16*f - 2. Is 12 a factor of v(-1)? False Let i(j) = -j**3 + 3*j**2 + 3*j - 4. Let n be i(3). Let y be (-4)/12*(1 - 4). Suppose n*d - y = 64. Is 9 a factor of d? False Let l be (30/25)/(3/(-10)). Is (-102)/(-24) - (-1)/l a multiple of 2? True Suppose 47 = a + 11. Suppose -a = -4*w + 76. Is 14 a factor of w? True Let v = 52 - 16. Is 12 a factor of v? True Let u be (-8)/(6/(-4) - -1). Suppose -o + 9 + u = 0. Does 12 divide o? False Let t = -3 - -8. Suppose -t*g + 64 = -226. Is 20 a factor of g? False Let l(v) = v**2 - 7*v - 5. Let d(x) = -x**3 - 7*x**2 + 9*x + 18. Let s be d(-8). Is 13 a factor of l(s)? False Let f(r) = -r + 6. Let z be f(0). Let k = -4 + z. Suppose 2*b + k*g - 28 = 4*g, 8 = -4*g. Does 8 divide b? False Suppose 4*g - 18 = -50. Let t(a) = -a - 9. Let w be t(g). Let n = 15 - w. Is n a multiple of 16? True Let d(w) = -5*w - 17. Does 7 divide d(-30)? True Let d = 1 + 1. Suppose 17 = 5*n + g + 3*g, g - d = n. Is 1*(n + (7 - 3)) a multiple of 5? True Let g(d) = d**3 + d**2 + 27. Let a be g(0). Suppose -a = -w - 87. Let o = w - -110. Is o a multiple of 13? False Let k be 2*((-67)/(-2) - 2). Let x be 1 + -5 - (-4 + -3). Suppose -x*n + 6*n - k = 0. Is n a multiple of 11? False Let k(o) = -o**2 - 10*o - 9. Let d be k(-6). Let x = 24 - d. Is 9 a factor of x? True Let t be (8/(-14))/((-9)/63). Let o = 52 + -27. Suppose -t*z + 30 + o = i, -5*i + z + 254 = 0. Is i a multiple of 13? False Is (4 + -1 + -1)/(24/468) a multiple of 22? False Suppose 103 = 4*u + 3*x, 0 = -u - 2*u - 3*x + 75. Does 8 divide u? False Suppose 412 = 4*r - 4*s, 4 = s + 3. Is r a multiple of 13? True Suppose 0*t + 320 = 2*y + 2*t, -2*t - 616 = -4*y. Suppose -5*u + 49 + y = 0. Is u a multiple of 15? False Does 3 divide 5 - (-21 - -2 - 5)? False Let c(q) = -q**3 - 2*q**2 + q - 1. Let t be c(-3). Suppose 4*w - t*w = -55. Let o = -39 + w. Is 6 a factor of o? False Let r = -16 + 10. Let d = r - -10. Is (-1)/(-4) - (-23)/d a multiple of 6? True Let r(d) be the first derivative of d**4/6 + d**3/3 - d**2 - 2*d - 2. Let l(w) be the first derivative of r(w). Does 9 divide l(-4)? False Let m(f) = f + 8. Let z(y) = -y + 6. Let s be z(6). Does 6 divide m(s)? False Suppose 0 = c - 4*c + 24. Let t be -4 + 4 + -4 + 24. Suppose -t = -c*z + 4*z. Is z a multiple of 5? True Let k(j) = -5*j + 1. Let l be k(-1). Is 22 - l/(-9)*-3 a multiple of 6? False Suppose -3*o + 2*v = 0, 0*v = -o - 2*v + 8. Suppose o*l + 23 = 59. Suppose n - l = 10. Is 14 a factor of n? True Let z(p) = -8*p**3 + 2*p + 1. Let m be z(-1). Let n be (-4)/(-14) - 2/m. Suppose
{ "pile_set_name": "DM Mathematics" }
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123 How many minutes are there between 1:46 AM and 7:45 AM? 359 How many minutes are there between 4:30 PM and 10:58 PM? 388 What is 514 minutes after 3:22 AM? 11:56 AM What is 400 minutes before 7:56 PM? 1:16 PM What is 52 minutes before 12:10 AM? 11:18 PM How many minutes are there between 4:51 AM and 8:49 AM? 238 What is 423 minutes after 5:20 PM? 12:23 AM How many minutes are there between 1:45 PM and 10:48 PM? 543 How many minutes are there between 2:34 PM and 3:27 PM? 53 How many minutes are there between 9:40 AM and 7:56 PM? 616 How many minutes are there between 9:45 PM and 10:54 PM? 69 How many minutes are there between 11:45 AM and 1:14 PM? 89 How many minutes are there between 2:50 AM and 4:28 AM? 98 How many minutes are there between 4:17 AM and 9:12 AM? 295 What is 391 minutes before 12:11 AM? 5:40 PM What is 12 minutes before 4:35 AM? 4:23 AM What is 505 minutes after 5:45 AM? 2:10 PM What is 492 minutes after 3:27 PM? 11:39 PM How many minutes are there between 6:51 AM and 1:59 PM? 428 What is 128 minutes before 2:24 AM? 12:16 AM What is 325 minutes after 12:29 PM? 5:54 PM What is 599 minutes after 7:17 PM? 5:16 AM What is 559 minutes before 10:17 PM? 12:58 PM What is 52 minutes before 8:55 AM? 8:03 AM How many minutes are there between 4:58 PM and 1:53 AM? 535 How many minutes are there between 6:51 PM and 1:22 AM? 391 What is 52 minutes after 12:51 PM? 1:43 PM What is 322 minutes before 1:40 AM? 8:18 PM What is 410 minutes after 3:13 PM? 10:03 PM How many minutes are there between 3:06 PM and 7:57 PM? 291 How many minutes are there between 3:10 PM and 4:47 PM? 97 How many minutes are there between 4:56 AM and 1:07 PM? 491 What is 217 minutes after 6:20 AM? 9:57 AM What is 360 minutes before 6:05 PM? 12:05 PM How many minutes are there between 11:09 PM and 2:14 AM? 185 What is 625 minutes before 12:44 PM? 2:19 AM How many minutes are there between 7:48 AM and 7:35 PM? 707 What is 144 minutes after 12:33 PM? 2:57 PM How many minutes are there between 8:34 PM and 9:07 PM? 33 How many minutes are there between 10:42 PM and 6:50 AM? 488 How many minutes are there between 2:07 PM and 11:37 PM? 570 What is 430 minutes after 9:51 AM? 5:01 PM What is 517 minutes after 8:37 PM? 5:14 AM How many minutes are there between 8:40 PM and 2:35 AM? 355 What is 552 minutes after 4:00 AM? 1:12 PM What is 88 minutes before 3:45 AM? 2:17 AM How many minutes are there between 7:48 PM and 11:43 PM? 235 What is 470 minutes after 7:52 AM? 3:42 PM How many minutes are there between 11:07 PM and 10:53 AM? 706 How many minutes are there between 11:29 PM and 1:29 AM? 120 What is 145 minutes before 6:23 AM? 3:58 AM How many minutes are there between 11:36 AM and 2:21 PM? 165 What is 197 minutes after 10:05 PM? 1:22 AM What is 453 minutes before 12:35 AM? 5:02 PM How many minutes are there between 1:11 PM and 9:22 PM? 491 What is 41 minutes after 4:50 PM? 5:31 PM How many minutes are there between 6:31 PM and 11:33 PM? 302 How many minutes are there between 10:03 PM and 1:14 AM? 191 What is 488 minutes before 8:46 PM? 12:38 PM
{ "pile_set_name": "DM Mathematics" }
95 - 58. Suppose -i = -5*y + 13. Let g = 14 - y. What is the remainder when 13 is divided by g? 1 Suppose -c = -41*c + 240 + 320. Suppose -109 = -4*i - 4*u + 3*u, 21 = i - u. Calculate the remainder when i is divided by c. 12 Let c(t) = -4*t**3 - t**2 + 14*t + 28. What is the remainder when c(-2) is divided by 8? 4 Suppose -3*o - 38 = -5*o. Let d(b) = 5*b**2 - 69*b - 5. What is the remainder when o is divided by d(14)? 1 Let t = -87 - -105. Calculate the remainder when 2/7 - 948/(-14) is divided by t. 14 Let l(h) = -h**3 - 6*h**2 - 2*h - 6. Let a be l(-4). Let v = 55 + a. Calculate the remainder when v is divided by 7. 4 Let w = -4 - -9. Let t be 1*w - (-14 - -13). Suppose -t*m = -11*m + 210. Calculate the remainder when m is divided by 9. 6 Suppose 31*a + 87*a = 708. Calculate the remainder when 10 is divided by a. 4 Suppose -1603 = -639*v + 632*v. Calculate the remainder when v is divided by 61. 46 Let x(t) = 9*t**3 - 8*t**2 - 2*t + 8. Calculate the remainder when 438 is divided by x(2). 42 Suppose -4*z = -57 - 31. Let k be -3*(1 - z/(-6)). Calculate the remainder when 49 is divided by 1/7 + (-362)/k. 23 Suppose -p + v = p - 9, 4*v + 22 = p. What is the remainder when 11/1 + p/(-1) is divided by 6? 3 Suppose -151*w = -142*w - 2358. What is the remainder when w is divided by 19? 15 Suppose 6*m + 41 = 3*u + m, -5*u - 5*m = -15. Calculate the remainder when 69 is divided by u. 6 Let s be (-1)/((-1)/4 + 42/72). Let j(x) = -x**3 + 2*x**2 + 3*x - 3. Calculate the remainder when j(s) is divided by 17. 16 Let p(t) = 12*t**2 - 5*t + 4. What is the remainder when 138 is divided by p(1)? 6 Suppose 0 = -3*x - 6, -5*z + 3*x + 90 = -3*z. Calculate the remainder when 125 is divided by z. 41 Let g(l) = l + 6. Let v be g(-4). Let o(f) = 4 + v + 4 - 2*f + 3. What is the remainder when 38 is divided by o(0)? 12 Let p(d) = 2 - 6*d**3 - 2 - 8*d**2 + 5*d**3 + 3 - 3*d. Suppose 3*h - 12 = 5*h - y, 3*y - 28 = 5*h. What is the remainder when p(h) is divided by 7? 6 Let c(v) = -v**2 - 11*v - 20. Let u be c(-18). What is the remainder when 102 is divided by (-1)/(-7) - u/7? 18 Calculate the remainder when (-32)/(-352) - 3/(66/(-13418)) is divided by 25. 10 Suppose 103 = p - 5*d, -3*p + 17*d + 259 = 12*d. Let j = 66 + -57. Calculate the remainder when p is divided by j. 6 Suppose -2*n + 5*l = 3*l - 18, -17 = 2*n + 5*l. Suppose 5*b - 73 = -3*f + 23, -n*f = b - 111. What is the remainder when 107 is divided by f? 26 Let a(l) = l**3 + 9*l**2 - 6*l - 63. Calculate the remainder when 142 is divided by a(-8). 44 Suppose 2*k - 5*x = 391, -4*x - 499 + 113 = -2*k. Suppose -3*t = -7*b + 5*b - k, -2*t - 4*b = -106. Calculate the remainder when t is divided by 12. 11 Let w(c) = 2*c**2 - 12*c + 4*c**2 - 13 - 7*c**2 + 5. Calculate the remainder when 34 is divided by w(-10). 10 What is the remainder when 18/(-54) + (2324/6 - 0) is divided by 78? 75 Suppose w + w = -4*l + 12, -3*w - 5*l = -14. Calculate the remainder when -3 - (-88 - (w + 3)) is divided by -5 - (-7 + (-12)/(-3)) - -24. 20 Let u(r) = -2*r**3 + 13*r**2 - 5*r - 3. Let t(p) = 2*p**3 + 2*p**2 + p - 1. Calculate the remainder when t(2) is divided by u(6). 1 Suppose -5*c - 3 + 28 = 0. Suppose 14 - c = h. What is the remainder when 61 is divided by h? 7 Let r(h) = 4*h**2 + h + 71. What is the remainder when r(-7) is divided by 60? 20 Suppose -s = -10*n + 8*n + 171, -162 = -2*n - 2*s. What is the remainder when 167 is divided by n? 83 Suppose 5*l = -3*c + 39, 12 = 4*l - 3*c - c. Let w = l + 20. Let r = -1 + 8. Calculate the remainder when w is divided by r. 5 Suppose -3*g + 4*x + 274 = 0, -10*g = -5*g - 3*x - 464. Calculate the remainder when g is divided by 35. 24 Suppose 14*f + 0*f - 4760 = 0. Calculate the remainder when f is divided by 57. 55 Let n be (-1)/(((-2)/(-11))/2). Let r = n + 11. Let j = r - -15. What is the remainder when 29 is divided by j? 14 Suppose q + 20 = 3*t, -2*t + 0 = -2*q - 16. What is the remainder when 71 is divided by t? 5 Suppose -v - 26 = -30. What is the remainder when 21 is divided by v? 1 Let f be ((-6)/(-4) + -1)*0. Suppose f = 4*n + 2 - 14. Suppose -n*v + 0 = -4*d + 54, 0 = 3*d - 5*v - 35. What is the remainder when 27 is divided by d? 12 Suppose 10 = -5*f + 195. Let d(x) be the first derivative of -2*x**2 - 2*x + 3. What is the remainder when f is divided by d(-3)? 7 Suppose -2*a - 7 = -3*a. Suppose a + 3 = -5*t. Let w = t + 60. Calculate the remainder when w is divided by 15. 13 Suppose -30*d + 26*d + 5*b + 506 = 0, -b = -3*d + 385. What is the remainder when d is divided by 25? 4 Let j be (1 - -2)/((-3)/(-2)). Suppose -j*t = -2*o + 3*t + 19, t - 115 = -5*o. What is the remainder when 85 is divided by o? 19 Let a(k) = 31 + k**2 - 14 + 0*k**2 + 12*k - 14. Calculate the remainder when 14 is divided by a(-12). 2 Suppose t - 13 + 5 = 0. Let q be 2/t - (-2005)/(-20). Let v = q - -193. Calculate the remainder when v is divided by 32. 29 Suppose -3*o + 1 = 2*t - 3, -2*t + 5*o + 20 = 0. Let h(c) = c**3 - 3*c**2 - 7*c. Calculate the remainder when h(t) is divided by 9. 6 Suppose 358 + 1658 = 6*u. Calculate the remainder when u is divided by 78. 24 Let t(r) = 9*r**2 + 37*r - 87. Calculate the remainder when t(9) is divided by 16. 15 Let r(z) = 24*z**3 - z**2 - z + 2. Calculate the remainder when 236 is divided by r(1). 20 Let x = 46 + -37. Suppose 0*m = -x*m + 108. Calculate the remainder when m is divided by 8. 4 Calculate the remainder when (82 + 107)*(4/2 - 1) is divided by 62. 3 Suppose 8*s = 6*s - 4. Let v = 7 + s. Suppose -d + v*d = 132. What is the remainder when d is divided by 7? 5 Let b(n) = n**3 + 14*n**2 + 4*n + 4. Let d be b(-11). Suppose -5*j + 6 + d = 3*p, 0 = 4*j - 4. What is the remainder when p is divided by 28? 24 What is the remainder when -22 + 24 + 187 + 5 + -1 is divided by 49? 46 Calculate the remainder when ((-30)/(-90))/((-2)/(-288)) is divided by 13. 9 Let x(m) = -5*m - 45. Suppose -4*t - 2 = 58. Suppose 39 = 2*k - a, 0 = -3*k - 5*a + 27 - 1. What is the remainder when x(t) is divided by k? 13 Let l(s) = -3*s**2 + 122*s - 74. Let n = 12 + 11. Calculate the remainder when n is divided by l(40). 5 Suppose 0 = -4*j - 2*k + 80, -68 = -j - 3*j + 4*k. Let z = 196 - 121. What is the remainder when z is divided by j? 18 Suppose 3*v = -3*n + 2*v + 146, 0 = 5*n + v - 242. Suppose 5*r = 5*y + 38 + 77, -2*r + 54 = 2*y. Calculate the remainder when n is divided by r. 23 Suppose -4*b - 260 = -b + 4*y, -y = 2. Calculate the remainder when (-3)/(-6) + b/(-8) is divided by 5. 1 Let c be 3 - (-2 - (29 - 3)). Suppose -c + 11 = -o. Suppose -24 - o = -4*b. Calculate the remainder when 43 is divided by b. 10 Let p(i) = -i**2 - 7*i - 2. Let n(y) = 12*y - 12. Let r be n(3). What is the remainder when p(-6) is divided by 42/r - 3/(-12)? 0 Let q(u) = -u + 13. What is the remainder when 935 is divided by q(-11)? 23 Let a(j) = 2*j**2 + 10*j + 7. Let l(b) = b**3 - 3*b**2 - 5*b + 1. Let c be l(4). What is the remainder when c/6*(1 + -149) is divided by a(-6)? 17 Suppose -3*x + 6*x = -3*m + 51, 5*x = 0. Calculate the remainder when m is divided by (19 - 21)/(2 + (-14)/6). 5 Let x(l) = -l + 13. Let u be x(11). What is the remainder when 101 is divided by -2 + (u - (2 + -28))? 23 Calculate the remainder when 113 is divided by (1 - (-9)/(-8)) + (-2651)/(-88). 23 Suppose 7*w - w = 18. Suppose 0 = 2*s - 5*c - 5, -w = 2*c + 3. What is the remainder when (11 + s)/((-4)/(-2)) is divided by 2? 1 Let f be 10 - ((3 - 2) + 1). Suppose 62 = f*v - 7*v. Calculate the remainder when v is divided by 21. 20 Suppose 0 = 14*f - 10*f. Let g(i) = 3*i**2 + 2*i + 20. Calculate the remainder when 55 is divided by g(f). 15 Suppose -3*p + 39 + 67 = 4*y, -p + 4*y + 30 = 0. Calculate the remainder when p is divided by 21. 13 Suppose 24*d = 20*d + 60. What is the remainder when 37 is divided by d? 7 Suppose -s - 3 + 2 = 0. Calculate the remainder when 61 is divided by 5 - 18/(-6) - (s + 0). 7 Let n = 352 - 182. Calculate the remainder when n is divided by 6. 2 Let n(r) = -2*r**3 - 7*r**2 + 5*r + 5. Let p be n(-4). Let m(h) = 3*h**3 - h**2 + 5*h - 3. Calculate the remainder when 3/(-1*3)*-5 is divided by m(p). 1 Suppose 5*h - 92 = 4*j + h, -4*h - 60 = 4*j. Let v = j + 69. Let c = 29 - 12. What is the remainder when v is divided by
{ "pile_set_name": "DM Mathematics" }
v = 4*y - 1 for y. -2 Let v be (-13 - 2)*3/(-9). Suppose 3*l + 2 = v, -5*d - 2*l + 22 = 0. Solve -4*u - 5*i = -12, -2*i = -d - 4 for u. -2 Let w(t) = t**3 - 5*t**2 - 8*t + 8. Let o be w(6). Let n be (-6)/o - (-376)/16. Solve 5*i = -4*c + 2*i + 15, 5*i = 2*c + n for c. 0 Let x(q) = q**3 - 7*q**2 + q - 7. Let g be x(7). Suppose n + g*n + 5 = 0. Let b = n - -8. Solve -r + 1 = -3*h + 12, 0 = 3*r - b*h + 3 for r. 4 Let m be 5/(-10) - ((-21)/2 + -4). Solve 4*t - 3*b = -t - m, 5*t + 18 = b for t. -4 Let m(h) = h + 15. Let j be m(-12). Let s be (j/(-2))/((-6)/8). Solve -5*y - 5 = 5*k, s*y - k - 10 = 3 for y. 4 Suppose 4*u = -5*w + 80, -3*u + u = 3*w - 46. Let y = 22 - w. Solve -y = -5*g + 5*p, 2*p = -3*g - 0*p + 11 for g. 3 Suppose -4*c = -3*v - c + 21, -3*c = 0. Let w be (-1)/((-5)/50*2). Suppose w = 2*o - v. Solve o*y - s + 3 = 4*y, -s = -y - 1 for y. -2 Suppose 4*p - q = 5, -4*p + 1 = q - 2. Suppose 4*n - 7 - p = 0. Suppose -3*k + 9 - 3 = 0. Solve -3*h + d + 9 = 2*d, k*d - 10 = -n*h for h. 2 Suppose 0*v = 4*v. Solve 2 = y - 5*o - 4, y + 2*o + 8 = v for y. -4 Let s be 180/54 - (1 + 0)/3. Solve -2*c - 9 = c - s*u, -4 = 4*c - 2*u for c. 1 Suppose 0*o = -o + 20. Let u = o + -16. Solve u*j - 2*j - 33 = -5*p, 17 = 5*p - 2*j for p. 5 Suppose -3*d = -3*t + 12, 1 = -3*t + d + 15. Solve 14 = -v - 4*f, -2*f + t = -4*v - f for v. -2 Suppose 0 = -4*o + 27 + 9. Let p be 1/((0 + 3)/o). Let r be 2 + 24/((-2)/(-1)). Solve -3*v - 11 + 1 = 2*z, -4*z = p*v + r for v. -2 Let x be ((-2)/(-4))/(6/36). Suppose 0 = -x*b - b. Solve 5*f = -5*p, -3*p + b*p = 4*f - 5 for f. 5 Let o(a) = a**3 + 5*a**2 + a - 2. Let n be o(-3). Let u = 21 - n. Suppose 0 = 4*h - 4 - u. Solve -5*v + h*s + 7 + 13 = 0, -2*s + 8 = 2*v for v. 4 Let g(c) = c + 5. Let i be g(-3). Solve 5*b - i*l = -38 + 8, 0 = 3*b + 4*l - 8 for b. -4 Let l = 4 + 0. Suppose -8 = -l*r - 4*n, -3*n = 2*r + 2 - 4. Solve i + r - 13 = x, -4*i = -x - 24 for x. -4 Let r(n) = 3*n - 14. Suppose -18 = -4*i + i. Let f be r(i). Solve -5*k + 2*s = -10, f*k - 25 = 2*s + 3*s for k. 0 Let g(i) = 2*i - 1. Let w be g(1). Let m be 10/w - (2 + 0). Solve 2*c - x = x - m, -2*x = -5*c - 17 for c. -3 Suppose 5*m = 45 - 5. Solve 3*x = -5*g + 25, 0 = 2*x + g - 2*g - m for x. 5 Let c(m) = 2*m**2 + 2*m - 1. Let h be c(-3). Let n = -1 + h. Let x be 69/15 + 4/n. Solve -x*d = o - 2*o + 26, -2*o - 2*d - 8 = 0 for o. 1 Suppose 8*a - 45 = 3*a. Let u = a - 7. Solve -u - 13 = -5*s, 0 = -3*o + 3*s + 6 for o. 5 Let j be (-8)/(-6) + 8/12. Solve j*u - 10 = -y, 2*y - 1 - 1 = 2*u for y. 4 Let d be (4 - 13)/(-3) + 13. Solve -3*q - 7 = -l + 5, 4*q + d = -3*l for l. 0 Let h = 17 + -15. Suppose -4*a = -155 + 35. Let k = 50 - a. Solve 0 = h*v - d + 8, 2*v + k = -3*v + 3*d for v. -4 Let r be (-13)/(1 + (-9)/6). Suppose 4*u - r = -5*k, 3*k - 14 = -4*u + 2*u. Solve -3*l - 3 = w, -2*w + k*l - 6 = 5*l for w. -3 Let v be (3/5)/((-2)/(-10)). Suppose -v*r = 5*b - 0*b - 5, 5*r - 35 = 5*b. Solve -4*a - 4*c = 24, 4*c + 3 + r = 0 for a. -4 Let j = 24 + -26. Let s be 0 + 1*(5 - -1). Let t = s + j. Solve 0 = 4*a + 5*w - 12, -3*w + 3 = t*a - 1 for a. -2 Let t = -6 - -5. Let f be (0 + 2)*t + 2. Let q be (f - -1)/(6/48). Solve -4*z = -5*p + q, 2*z = 4*p - 2*z - 4 for p. 4 Let n be (-3 - -4) + (-63)/(-3). Solve -2*w - n = -6*g + 2*g, 0 = 2*w + 3*g - 6 for w. -3 Suppose -3*j + 28 + 32 = 0. Suppose y - 3*y = 32. Let a be (-36)/y + (-6)/(-8). Solve -5*d + 15 = -d - a*o, -d + 4*o = -j for d. 0 Let j(q) = -2*q - 7. Let b be j(-6). Solve -a = 3*a - 3*g - 23, b*a - g = 15 for a. 2 Suppose -2*j = -1 - 3. Let z(k) = k**2 + 4*k + 3. Let r be z(-6). Suppose 5*l = 5 + r. Solve l*q = -j*y + 5*q + 8, -5*q = -3*y + 5 for y. 5 Let v(x) = 4*x - 18. Let w(a) = 7*a - 35. Let j(g) = 5*v(g) - 3*w(g). Let y be j(8). Solve 1 = -u + 5*b, -5*b - y = -4*u + 4 for u. 4 Suppose -4*z = -z. Let a(q) = q + 6. Let n be a(z). Suppose -n*j + 3*j = -3*i - 24, -5*j + 36 = -4*i. Solve -j*b + 14 = m, -b + 6 + 0 = -m for m. -2 Suppose -4*v - 12 = -4*m, 5*m - 48 = m - 5*v. Let z(s) = s**3 - 6*s**2 - 8*s + 10. Let d be z(m). Solve -d*q + 2*r = 2, -4*r + 0*r = 2*q + 12 for q. -2 Suppose 5*r + 3*t = -t + 16, -3*r + 4*t - 16 = 0. Suppose -3*g = 3*b - 3 - r, 4*b - 5*g - 40 = 0. Solve 2*z = -b*n + 17, -4*n - 5*z + 4 = -z for n. 5 Suppose 0*p - 2*y = -5*p + 52, -p - 5*y + 32 = 0. Suppose -4*g + 2*w = -2*w + p, -g - 2*w = -9. Let l = 0 + g. Solve -4*r = -4*o + 8, 4*r - l = -6*o + o for o. 1 Suppose -3*y = 2*y - 105. Let c = y - 19. Solve -c*v - 3*a = -2*a - 5, -5*v = 5*a for v. 5 Suppose -u - 38 = -5*t, t - 4*u - 16 = -2*t. Solve 0 = -5*c + 4*r + t, -r - 3 = -3*c + 2*r for c. 4 Suppose 5 = -r - 3. Let a = r + 11. Solve -4*o - 24 = -4*m, 6*m + 5*o = a*m + 2 for m. 4 Let d(h) = 2*h + 24. Let l be d(0). Solve -r - 2*k = -11, -3*k = -2*r + 5*r - l for r. 5 Let c be 27/2 + (-6)/4. Let v be (4/c)/((-2)/(-24)). Solve 5*y - 7 = v*j - j, 2*y + j = 5 for y. 2 Let k(r) = -r**3 + r**2 + 3*r + 3. Let a be k(-2). Suppose 3*t = -t + 8. Solve f + 11 = x - t*f, f = -5*x - a for x. -1 Let i = -28 + 68. Solve 5*h + p + i = -4*p, -p - 20 = 5*h for h. -3 Let b = 0 - 0. Suppose -4 = 3*d - 1, 0 = 3*c - 3*d - 9. Solve b*q - 5*z + 19 = q, 2*z + c = 2*q for q. 4 Let j be (-9)/3 + 4 + 19. Suppose 5*a - 5 - j = 0. Solve 5*o - t - 18 = 0, -a*o - 2*t - t = -26 for o. 4 Let o be 1782/63 + (-2)/7. Solve 0 = -t + 2*h - 7*h + 22, 4*t + 5*h = o for t. 2 Let o(w) = -w + 11. Let d be o(8). Let j be (-2)/10 - 4/(-20). Solve j = -3*t - 12, 4*t + 24 = -v + d*v for v. 4 Suppose 0 = 2*i + i. Suppose i = -5*h - 12 + 32. Solve 2*a + 5*v = 5, -4*a + h*v + 22 = 2*v for a. 5 Let d = -31 - -34. Solve -z - 3 = 4*u, d*z - u + 6*u - 5 = 0 for z. 5 Let k(a) be the second derivative of -a**5/20 - a**4/6 - a**3/2 - a**2/2 + 3*a. Let h be k(-2). Solve m = -3*d - h, 0*m - 2*m + 4*d = 10 for m. -5 Suppose 4*l - 4*c - 4 = 0, -c - 3 = -2*l - 2. Suppose 3*p + 2 = 5*d - 4, 2*d + p - 9 = l. Solve 0 = 5*w - 2*a + 13, -d + 2 = w - 2*a for w. -3 Let x = 29 - 29. Solve x = -i - 3*j + 16, 0*j + j = 5 for i. 1 Suppose 5*k - 25 = 5. Let a be (-1)/((-1)/k*2). Solve 2*q = a*n + 8, -4*q - n = -2*q + 8 for q. -2 Let v(p) = p - 5. Let g be v(8). Suppose g*t + 5*n = -5, 5*t - 39 = 2*n - 6. Solve -3*c - t = -4*k + 5*k, k + 3 = -c for k. -2 Let u be ((-8)/(-24))/((-2)/(1 + -175)). Solve 0*o - o - 5*t - u = 0, 45 = -5*o - 5*t for o. -4 Let k(f) be the first derivative of -f**2/2 + 4*f + 2. Suppose 0 = -3*o - 2*o. Let b be k(o). Solve 4*x = 2*h - 12, -h - b*x - 10 - 14 = 0 for h. -4 Suppose -4*d + 0*d + 48 = 0. Let p(q) be the first derivative of 3*q**2/2 - q - 2. Let r be p(1). Solve 2*v - 4*h = -d, 0 = 3*v - 5*v + r*h - 10 for v. -4 Suppose -u + 6 = u. Suppose g = -2*g + 30. Solve -k = l - 5, -k + g = 5*l - u for l. 2 Let w = 4 + -18. Let r be 2 + -1 - (w - -5). Solve -r = k - 3*k, -2*k + 19 = -3*t for t. -3 Let h(i) = i**3 + 6*i**2 - 5. Let u be h(-5). Let t be 1/(-4) - (-105)/u. Let s = t + -2. Solve 4*q = -5*w - 3, 3*w = -6*q + 3*q - s for w. 1 Let p(i) = -i**3 + 9*i**2 - i + 14. Let w be p(9). Solve -a + w*r = -0*r + 10, 5*a + 2 = r for a. 0 Let c be -1 + (-5)/5*-1. Solve o + c*o - 8 = -5*u, -o - u + 4 = 0 for o. 3 Suppose -4*q + q + 15 = 0. Solve q*g - 5 = -5*w, -2*w + 8 = -2*g - 2 for w. 3 Let j be (-8)/(-5) - (-6)/15. Solve -2*g + 4 = -0*g + 2*r, -j*r + 6 = g for g. -2 Let o be 1*(0 + -1 + 4). Let z be (o - -1)/(4/2). Solve -a - 2*v = -10, -z*v + 10 = -2*a + 4*a for a. 0 Suppose -v = -8 - 10. Let d be ((-6)/9)/((-4)/v). Solve c + t + t - d = 0, 4*c + 18 = 2*t for c. -3 Let q = 31 + -31. Solve -4*o = -2*a + 4, q = 2*o - 4*a - 0*a + 14 for o. 1 Let f = 7 - 3. Let n be 10/f - 1/(-2). Suppose -i + 5*r = -24, -n*r = -2*i + i + 16. Solve 4*h - 4 = 0, 5*t = 5*h + 1 + i for t. 2 Let u = 37 + -22. Solve 5*k = -0*w + 3*w - u, 2*w + 2*k = 10 for w. 5 Suppose -4*o = -3*o. Suppose -2*d - d + 15 = o. Suppose -6*q = -3*q - 15. Solve 4*k - q*h + 41 = 0, 5 = -3*k + 8*k + d*h for k. -4 Let u(v) = -v + 2. Suppose -b + 5 = 3. Let x be u(b). Solve 5*y - 3*p - 2*p - 5 = 0, -2*y - 3*p - 13 = x for y. -2 Suppose -4*z = -30 - 2. Let k(u) = -2*u**2 - 6*u - 2. Let r be k(-2). Solve -3*x + 5*x - 4 = -r*n, -z = 5*n - 4*x for n. 0 Let w be (-2)/(-10) + 19/5. Let z = -34 + 39. Solve 2*j - z*s - w = -2*j, -2*j = 4*s - 2 for j. 1
{ "pile_set_name": "DM Mathematics" }
+ p*f + r*f**3 + n + s*f**2 and give i. 26 Express (3369 - 3369 - 121*q)*(3*q - 3*q - 2*q) as t*q**2 + f + x*q and give t. 242 Rearrange -l - 19*l**3 + 35*l**3 - 18*l**3 - 1 to the form c*l + f*l**2 + p + z*l**3 and give p. -1 Express (-5*t**2 + 2*t**2 + 4*t**2)*(3 - 3 - 3*t)*(-25*t + 8*t - 9*t) in the form z + l*t**4 + b*t**2 + h*t**3 + c*t and give b. 0 Express (-7*h**3 + 3*h**2 - 3*h**2)*(-4 - 2 + 4) + 4*h**3 - 3*h**3 - 4*h**3 as j + k*h + r*h**2 + p*h**3 and give p. 11 Express -1 - 2*p + 1 + (-p - 2*p - p)*(1 + 1 - 3) in the form o + c*p and give c. 2 Express (-2 + 1 + 3)*(0 - 4 + 2)*(31*y**2 + 20*y**2 - 42*y**2) in the form a + h*y**2 + g*y and give h. -36 Rearrange -y + 5*y - 18*y**3 + 19*y**3 - 1 to the form h*y**2 + x + d*y + k*y**3 and give d. 4 Express v**2 - v**3 - 8 + 1 + 6 in the form m*v**3 + d*v + p*v**2 + f and give p. 1 Rearrange (2*k - 2*k**2 - 2*k)*(-7*k + 2*k - 2*k) to c*k**3 + m + q*k + v*k**2 and give c. 14 Rearrange -20*v**2 - 21*v**2 + 15*v**2 to o*v + n + s*v**2 and give s. -26 Rearrange (-v + v - v**2)*(2 + 2 - 1 + (2 - 4 + 4)*(-1 + 5 - 3) + 3 + 0 - 2) to the form l + h*v**2 + g*v and give h. -6 Express 10*l + 0*l + 7*l - 5*l in the form o*l + j and give o. 12 Express -2*z - z + 13*z**4 - 14*z**4 - 3*z**2 in the form t + v*z**4 + c*z**3 + i*z**2 + r*z and give i. -3 Express 9*z**3 + 2*z**2 + 70*z - 70*z + 1 in the form a*z**2 + f*z + g + b*z**3 and give g. 1 Rearrange -2*n**4 - 8*n + 4*n**3 + 1 - 2 + 8*n to the form w + l*n + y*n**3 + r*n**2 + j*n**4 and give j. -2 Rearrange (-p**4 + 2*p**4 + 0*p**4)*(3 + 0 + 0)*(-1 + 0 + 4) to w*p**4 + n*p**2 + o + t*p + a*p**3 and give w. 9 Rearrange 6*i**3 - 9*i**2 - 5*i**3 + 4*i**2 to o*i**3 + m*i + j*i**2 + x and give o. 1 Rearrange -7*k + 2*k - 4*k**3 + 7*k**3 to l*k**3 + r*k**2 + z*k + g and give l. 3 Express -45*l + 10*l + 23*l - 5 as a + p*l and give p. -12 Rearrange 4 - x + 25*x**3 + 30*x**3 - 3 - 60*x**3 to g + z*x**2 + f*x**3 + a*x and give a. -1 Rearrange (-t - 1 - 4 + 6)*(1 + 0 - 4) to the form g + k*t and give g. -3 Express (2*y + 5*y - y)*(-7*y + 7*y + y**2) in the form j + g*y + s*y**2 + u*y**3 and give u. 6 Express -3*g**3 + 4*g**3 - g**2 + 2*g**2 - 6*g - 2107*g**4 + 2108*g**4 + 2 as s*g**3 + h*g**2 + v + z*g**4 + n*g and give s. 1 Rearrange (-8*v**2 - 6*v**2 - v**2)*(-3*v + 2*v + 3*v) to the form h*v**3 + m*v**2 + i + q*v and give h. -30 Rearrange (-2*a + a + 2*a)*(-2 - 2 - 1) + (-1 + 1 - 2)*(-a + 3*a - 5*a) to the form l + t*a and give t. 1 Rearrange (-1 + 2*v + 1)*(-4*v - v**2 + 14*v - 6*v) to z*v + g + k*v**3 + i*v**2 and give i. 8 Express -3*d**2 - 2*d**3 + d**4 + 4*d - 4*d + 1 - 4*d**4 in the form r*d**4 + k + i*d + p*d**2 + c*d**3 and give p. -3 Rearrange 6 - 6 - 5*d**3 + (-2*d**3 + 3*d**3 + 0*d**3)*(-2 + 3 - 2) to the form z + q*d + c*d**3 + h*d**2 and give c. -6 Rearrange (-a**3 - 5*a**3 + 4*a**3)*((0 + 0 - 2)*(3 + 3 - 5) + 0 + 1 - 2 + 5 - 1 + 0) to o*a**3 + u*a**2 + x + q*a and give o. -2 Express 2*b + 4*b + 4*b - 3 - 2*b + 3 + (2*b - 3 + 3)*(0 - 4 + 2) as j + q*b and give q. 4 Rearrange -6 + 4 - 7 + 0 + s - 2*s**3 to a + b*s**2 + t*s + m*s**3 and give t. 1 Rearrange -171*q**2 + 81*q**2 + 91*q**2 + 3*q**3 - 4 - q to the form j*q**3 + d*q + p + z*q**2 and give z. 1 Express -4*m**3 - 7*m - 15*m + 2*m**3 in the form p*m**3 + h*m + d + c*m**2 and give h. -22 Express (o - o + o)*(-2 + 3 + 0)*(-28 - 3*o + 28) + (0*o - 2*o + o)*(3*o + o - 5*o) in the form r*o + y*o**2 + i and give r. 0 Rearrange -a**4 + 0*a**3 - a - 2*a**3 + 53 - a**2 - 26 - 28 to i*a**3 + s*a**2 + y*a**4 + m*a + r and give i. -2 Rearrange a**4 + 8*a + a**3 - 5*a + 0*a**3 to the form x*a**3 + m + g*a + p*a**2 + z*a**4 and give z. 1 Express (-2*h + 4*h + 0*h)*(1 - 1 - h**2) + h**3 + 3 - 3 + 4 + 2*h**2 + 10 - 3*h - 12 + 31*h**3 as u*h**2 + a*h + t*h**3 + l and give l. 2 Express 14*d**2 - 22*d**2 + 19*d**2 + ((-1 + 1 - d)*(-2 + 1 + 2) - 3*d - 4*d + d)*(-4*d + 3*d + 0*d) as p + r*d + b*d**2 and give b. 18 Express (-q**2 - 4*q**2 + 3*q**2)*(-1 - 1 + 3)*(15 + 3 + 1)*(3 - 5 + 1) in the form j*q + r*q**2 + i and give j. 0 Express -4*c**4 + c**2 + 2*c**3 + 0*c**3 + 9*c**4 in the form d + q*c**4 + k*c + o*c**3 + w*c**2 and give w. 1 Rearrange 5*o**2 + 9*o**2 - 4*o**2 - o to the form p*o**2 + n*o + v and give n. -1 Express 24*u**2 - 22*u**2 + 1 - 2*u - 4*u**4 + 2*u**3 + u**4 in the form o*u + c*u**2 + f*u**4 + x*u**3 + w and give f. -3 Express (a**2 + 1 - 1)*(0*a + 0*a + a)*(5*a + 0*a - 4*a) - 5*a**4 + 5*a**4 + 2*a**4 in the form s*a + w*a**2 + k*a**4 + t*a**3 + h and give k. 3 Rearrange (-2*i + 2*i + 2*i)*(2*i - 5 + 5)*(0 - 4 + 1) to the form q*i**2 + m + b*i and give q. -12 Rearrange (-1 + 0 - 5)*(-1 + 3*g + 1)*(0*g - 3*g + g)*(-3*g**2 + 3*g**2 - 8*g**2) to l*g**3 + v*g**2 + k*g + c*g**4 + p and give c. -288 Express (-4*n + 4*n + n)*(2*n + 2*n - 2*n)*(5 - 2 - 2) as l + k*n + t*n**2 and give t. 2 Express -c - 3*c + 2*c + 4*c + 3*c - 6*c + (-2*c + 0*c + 4*c)*(0 + 1 + 1) + c + 0*c - 3*c - 2*c + 8 - 3 - 1 as t + v*c and give t. 4 Rearrange -33*w + 0*w + 6*w to the form o*w + k and give o. -27 Rearrange 12*f**3 - 2*f**2 + 2*f**4 + 1 - 2*f - f**2 - 4*f**3 - 9*f**3 to the form r + v*f**2 + s*f**4 + b*f**3 + a*f and give v. -3 Express 15*t**3 + t + 2*t**4 + 2 - 15*t**3 - t**2 as c*t + p*t**2 + w*t**4 + y + r*t**3 and give y. 2 Express 0 - 4 + 3*h**3 - 2*h**3 + 2*h**3 as f*h + r*h**3 + c*h**2 + o and give r. 3 Express (2 - 2 + 1)*(-2*o + 1 - 1)*(-20 + 26 + 7) in the form t*o + z and give t. -26 Express -6 + 9 + 10*v**3 - 1 in the form g*v**2 + i*v**3 + o*v + l and give i. 10 Express (-4 + 4 + 2*f)*(1 + 2 - 4)*(-18 - 16 - 26) as z + u*f and give u. 120 Rearrange 23 - 2*t - 4 - t + 0 to the form l*t + a and give a. 19 Express (-1 + 1 - 2*u)*(-4*u**2 + 3*u**2 + 0*u**2) + (-2 - 2 + 3)*(12*u**3 - 10*u + 10*u) as o + c*u + t*u**2 + q*u**3 and give q. -10 Rearrange 1 + j**4 - 1 + (-4 - 3 + 5)*(-j**4 + 9*j**4 - j**4) to v*j**2 + z*j + f*j**3 + y + w*j**4 and give w. -13 Rearrange -5*a - 3*a**2 - 3*a**2 + 7*a to l + j*a**2 + v*a and give v. 2 Express -1 + 0 - 10*t**2 - 5*t**2 + 6*t**2 in the form y*t + p + o*t**2 and give o. -9 Rearrange d + 15*d**2 - 10*d**2 - 9*d**2 + (-5 + 0 + 3)*(0*d**2 - 6*d**2 + 3*d**2) to v + p*d + y*d**2 and give p. 1 Express 33*h + 5 - 5 in the form x + b*h and give b. 33 Express -1 + 0 - o**2 + 7 + o as k*o + q + m*o**2 and give q. 6 Rearrange 0*c**4 + 5*c - 30 + 5*c**4 - 28 + 60 to l + o*c**4 + j*c**3 + i*c + z*c**2 and give j. 0 Express -2*i**2 - i + 10*i**2 - 6*i**2 - 2*i in the form o*i + y*i**2 + h and give y. 2 Express 3*d - 5*d + 6 + 7*d + 2*d**2 + 4*d as t*d + f + g*d**2 and give t. 9 Express (3*d + 0*d + 0*d)*(6*d - 57 - 3*d + 38) in the form u*d + i*d**2 + v and give v. 0 Rearrange (-2*q + 1 - 1)*(4 + 3 - 5)*(1 - 2 - 1) to the form z + p*q and give p. 8 Rearrange -6 + 16*m - 1 + 1 - 12*m to the form v*m + d and give d. -6 Express -18 + 32*i + 18 - 78*i in the form k*i + p and give k. -46 Rearrange (39 + 7*c - 39)*(0 - 2*c**3 + 0) to u*c**2 + n*c**4 + a + m*c**3 + v*c and give n. -14 Rearrange -38*f**3 - 14*f + 7*f + 8*f to the form w*f**3 + y*f + l*f**2 + a and give w. -38 Express 4*n**3 - 3*n**3 + 3 + 0 - 4 as w*n**2 + p*n**3 + z + f*n and give p. 1 Rearrange (-2*y + y - y)*(0 + 3 - 2) - 3*y - 2*y + 2*y + (-3 - 2 + 0)*(-10 + 5*y + 10) to the form f + g*y and give g. -30 Express 3*n**3 - 3*n + 25*n - 2*n**3 in the form z*n**2 + d*n + m + p*n**3 and give d. 22 Express -3*l**3 + l**3 + 7*l**2 + l + 6*l**2 - 5*l**2 as z + n*l**2 + v*l + m*l**3 and give m. -2 Rearrange 3*d + 2*d**2 + 2*d**3 + 141 + 0*d**2 - 141 to the form m + f*d + w*d**2 + h*d**3 and give h. 2 Express -2 + 5 + 26*m**3 - 29*m**3 + 1 in the form y + w*m + r*m**3 + u*m**2 and give r. -3 Rearrange (5 - 2 - 1)*(2*k - 3*k - 11*k) to the form v*k + u and give v. -24 Rearrange -55*b + 55*b + 19*b**4 + b**4 - 1 + 1 + b - b**4 - b + (2*b - 2*b**2 - 2*b)*(-b**2 + 2*b**2 + b**2) to n*b**4 + o*b**2 + s*b**3 + j*b + c and give n. 15 Rearrange 103*s - 102*s - 2*s**3 + 3*s**4 - s**4 - 3 to the form r*s**3 + j*s**2 + a + h*s + x*s**4 and give a. -3 Rearrange (-5 - 13 + 6)*(-2*f**3 + 2*f**3 + 2*f**3) + 4*f**3 - 4*f**3 - f**3 to q + j*f**2 + n*f**3 + b*f and give n. -25 Rearrange (0 + 0 + 2*i)*(6 - 4 - 3) - 226*i - 33*i - 147*i + 0*i -
{ "pile_set_name": "DM Mathematics" }
3*h + h. Suppose 2*n - 9 = -3*i + 68, -2*n = i - 27. What is the remainder when h is divided by i? 22 Suppose 7*f - 6*f + 3 = 0, -4*f = 5*l - 1048. What is the remainder when l is divided by 54? 50 Suppose -t - 68 = -4*h + t, -3*t = 0. Let f be 3 - (4 + 56/(-4)). Let o = f - -54. What is the remainder when o is divided by h? 16 Let k(s) = s**3 - 3*s**2 - 5*s - 1. Let l be k(4). Let t = -7 - l. What is the remainder when 73 is divided by (-135)/(-7) - t/(-7)? 16 Let h = -511 + 530. Calculate the remainder when 47 is divided by h. 9 Suppose -z + 8 = -4*g + 2*g, 4*z + 2*g = 32. What is the remainder when (124/3)/(-4)*(-13 + 10) is divided by z? 7 Let r be (-289)/7 + (-18)/(-63). Let j = r + 78. What is the remainder when 73 is divided by j? 36 Suppose 5*m - 3*m + 4*d - 12 = 0, -3*d = -5*m + 30. Let j = m - 0. What is the remainder when 6 is divided by j? 0 Calculate the remainder when 30/(-18)*(-366)/10 is divided by 20. 1 Let u = 44 - 37. Let y = u - 13. Let v = y - -32. What is the remainder when v is divided by 14? 12 Suppose -5*b - 3*x + 45 = 0, b - 16 = 5*x + 21. Suppose 3*p = 2*p - 2*s + 3, -3*s = -p + 8. What is the remainder when b is divided by p? 2 Let k(r) = 5*r + 104. Let w be k(11). Let d = w + -151. Calculate the remainder when d is divided by (-22)/(-6) + 2/6. 0 Let z(d) = d**3 + 26. Suppose 0 = 2*q - 6*q. What is the remainder when 101 is divided by z(q)? 23 Let p = -350 - -449. What is the remainder when p is divided by 34? 31 Suppose d + 0*d = p - 34, 4*p = 5*d + 135. What is the remainder when 48 is divided by 4/(-10) - ((-4508)/p)/7? 12 Suppose -9 = c - 4*c. Suppose -2 = -2*o, 3*o + 2 = -c*z + 5. Suppose 3*w + w - 52 = z. What is the remainder when 36 is divided by w? 10 Let u be (-4 + 1 + -39 - 0) + -2. Suppose 25 = -5*h, 2*h + 67 = 3*g - 0*h. What is the remainder when -2 - u - (9 + -4) is divided by g? 18 Calculate the remainder when 175 is divided by (10/6)/((-4)/(216/(-3))). 25 Suppose 5*w - 16 = 394. What is the remainder when w is divided by (21/6)/(-1)*-6? 19 Suppose -w = 2*r - 34 - 3, 4*r + 43 = w. Suppose w = 2*d - 55. Calculate the remainder when d is divided by 13. 8 Suppose y - 2*c - 14 = 0, 4*c + 27 = y + 3. What is the remainder when 27 is divided by 2/y*2*14? 13 Let x = 242 - 219. Calculate the remainder when 169 is divided by x. 8 Suppose -3*m = t - 312, -m + 5 = -2*m. Calculate the remainder when t is divided by 47. 45 Suppose 3*a - 405 = 3*l, -32*a + 667 = -27*a + 3*l. Calculate the remainder when a is divided by 43. 5 Suppose -416 = -2*c - 2*c. Let l = c + -71. Calculate the remainder when 130 is divided by l. 31 Let t = 2627 + -2601. Calculate the remainder when t is divided by 5. 1 Let k = 32 + -11. Calculate the remainder when k is divided by -4 + 0 - -13 - 3. 3 Suppose 14*l - 3990 = -16*l. What is the remainder when l is divided by 68? 65 Let g(u) be the first derivative of u**2/2 + 2*u + 3. Calculate the remainder when 13 is divided by g(2). 1 Suppose 79*c - 156 = 75*c. Calculate the remainder when c is divided by 1 + (-3)/(-6)*14. 7 Let b(n) = n**2 + 8*n + 1. Suppose 9*k - 530 = 4*k. Let q = k - 25. What is the remainder when q is divided by b(2)? 18 Let l(x) be the second derivative of -151*x**2 + 2*x**3 + 2*x**3 - 10*x + 148*x**2. Calculate the remainder when l(3) is divided by 17. 15 Let y be -5*3/9*-6. Let h = y + -6. Calculate the remainder when 12 is divided by 1 + (3 - 3) + h. 2 Let v(o) = -6*o + 2. Suppose 18*a + 0*a - 1178 - 136 = 0. What is the remainder when a is divided by v(-6)? 35 Suppose 3*p = -6 + 15. Suppose -42 + 0 = -4*x - 2*q, -x + p = -2*q. Calculate the remainder when 24 is divided by x. 6 Suppose -8*i - 18 = i. Calculate the remainder when i/(-3)*(-5 - -56) is divided by 19. 15 Let i(d) = d**2 + d + 34. Calculate the remainder when 10/35 - (-1872)/14 is divided by i(0). 32 Suppose 4*m - 80 = 16. Suppose -24 = -3*d + 111. Suppose -z - 5*t + d = 0, 5 = -2*t - 5. Calculate the remainder when z is divided by m. 22 Let m(h) = 34*h**2 + 3*h - 4. What is the remainder when m(1) is divided by -7*(-1 - (2 - 2))? 5 Let i(o) = -13*o + 345. Calculate the remainder when i(15) is divided by 13. 7 Let j = -1757 + 1991. What is the remainder when j is divided by 120? 114 Let d be 8/1 - (-1)/2*-4. Suppose 5*z = 2*v + 8, 5*v - d = -1. What is the remainder when 5 is divided by z? 1 Let p(a) = -2*a**2 + 36*a + 3. Suppose -5*f + 98 = 13. Calculate the remainder when p(f) is divided by 13. 11 Let j(r) = -r + 10. Let l(g) = 9*g**2 - 3*g + 1. Suppose h = 2*h - 2. Calculate the remainder when l(h) is divided by j(2). 7 What is the remainder when (-152720)/(-100) - (0 - (-2)/10) is divided by 30? 27 Let n = 31 + -16. What is the remainder when 39 is divided by n? 9 Let f = -19 + 17. Calculate the remainder when 12/4 - 14*f is divided by 7. 3 Suppose -w - 258 = 4. Let l = -155 - w. What is the remainder when l is divided by 27? 26 Let f(p) = 8*p. Let i(y) = 40*y. Let t(g) = -33*f(g) + 6*i(g). Let s be t(-1). Let m = s - 6. What is the remainder when m is divided by 11? 7 Suppose -14 = -2*k - 0*k. Suppose -5 = 5*l - 5*r, -9 = l - 5*r + 8. Suppose -k*c + l*c = -16. What is the remainder when c is divided by 3? 1 Suppose 3*n + 6 = -9, 4*g - 228 = -4*n. Suppose 64*j = g*j + 60. Calculate the remainder when j is divided by 16. 14 Let t(g) = -3*g + 9. Let x be t(3). Suppose -21*m + 15*m + 72 = x. Calculate the remainder when 45 is divided by m. 9 Let k(b) = -b**2 + 7. Let r be k(0). Let j(a) = -3*a + a**2 + 8*a + 6 + r + 2*a. Calculate the remainder when 34 is divided by j(-6). 6 Let d(j) = 2*j**2 + 46*j - 140. What is the remainder when d(-27) is divided by 43? 33 Suppose 5*q - 479 - 53 = -4*h, -4*q + 656 = 5*h. Suppose -m = -5*m + h. Let t(s) = -s**2 + 286. What is the remainder when t(-15) is divided by m? 29 Suppose -38*j = -39*j + 13. Suppose -2*x + 4*b - 3*b + j = 0, -2*x + 16 = -2*b. Calculate the remainder when (-1)/(-1*1/13) is divided by x. 3 Suppose 3 = -6*y + 7*y. Let r(p) = p**3 - 7*p**2 - 10*p + 26. Calculate the remainder when r(8) is divided by y. 1 Let b be ((-1)/3)/((-2)/228). Let y = -33 + b. Suppose -y*f - 14 = -424. What is the remainder when f is divided by 28? 26 Suppose 32 = 3*c + 4*u, -8*u + 4*u = 4. Suppose 2*k - 57 = 15. Let t = k - 14. What is the remainder when t is divided by c? 10 Suppose 2*l - 8 = -2*q + 3*q, -3*l = -5*q - 54. Let f = -9 - q. Let k = 0 + f. Calculate the remainder when 10 is divided by k. 1 Suppose 0 = 3*n + g - 55, 0*g = 3*n + 5*g - 59. What is the remainder when 30 is divided by n? 12 Let k(q) = 15*q - 8. Let u be 3*5/10*2. What is the remainder when 147 is divided by k(u)? 36 Suppose -11*d + 7*d + 44 = 0. Suppose j - 5*j = 0. Suppose j = 3*v - 3*i - 51, 2*v - 4*i + 52 = 4*v. Calculate the remainder when v is divided by d. 9 Let l(u) = 4*u**2 + 81*u + 739. Calculate the remainder when l(-10) is divided by 110. 109 What is the remainder when 359 is divided by (486/972)/(0 + 2/28)? 2 Let d = 13 + -9. Suppose -5*g - d = r, 0 = -2*r - 0*r - 5*g - 23. Let i = r - -38. Calculate the remainder when 36 is divided by i. 17 Suppose 0 = -4*y - 2*x + 1046, 0*y - 3*y - 5*x = -788. What is the remainder when y is divided by 22? 19 Let f = -5 + 4. Let c = 1 + f. Suppose c = 2*w + w - 3*s - 111, 5*w = 2*s + 200. Calculate the remainder when w is divided by 11. 9 Let b(o) = 750*o - 2233. What is the remainder when (-1 - 12)/((-2)/10) is divided by b(3)? 14 Suppose 16*k - 318 = 10*k. What is the remainder when k is divided by 27? 26 Let l = -2 - -5. Suppose -l = 4*k - 59. Suppose 6*o = 3*o + 15. What is the remainder when k is divided by o? 4 Let l(w) = -15*w**2 + 19*w**2 + 4 - 1 - 11*w. Calculate the remainder when l(5) is divided by 25. 23 Let a be ((-13)/(-2) - 4)*2. Suppose 4*w + a*d - 319 = 0, -5*w = -2*d - 477 + 103. Calculate the remainder when w is divided by 27. 22 Let y(d) = 38*d**2 + 50*d - 99. What is the remainder when y(2) is divided by 36? 9 Let z(b) = 12*b**2 - 51*b + 164. What is the remainder when z(3) is divided by 15? 14 Suppose -6 = 3*w, w + 3 - 7 = -3*a. Let y = a + 8. What is the remainder when y is divided by 6? 4 Let q(i) = -2*i**2 + 76*i - 213. What is the remainder when 941 is divided by q(34)? 56 Suppose 0 = -4*o - d + 37, -d = 2*o - 3*d - 6. Ca
{ "pile_set_name": "DM Mathematics" }
0 for o. -52 Solve 4*v + 1 = 3*k, -634*v + k = -620*v + 51 for v. -4 Solve -d + 11*w - 20*w = -3, 2*w = 7*d - 21 for d. 3 Solve 24*q - 19*p + 15*p = -36, -q = 3*p - 8 for q. -1 Solve -4*i + 0*h = -6*h - 704, 2*i = 2*h + 232 - 50 + 50 for i. -4 Solve 752*l - 780*l - 5*n - 1998 = 0, -16*n + 1 = l + 104 for l. -71 Solve y + 25 = 3*m, 0 = -2*y + 6*y + 4*m - 17 + 53 for y. -13 Solve 5*h + 123*q + 32 = 127*q, -2*q + 0*q = -2*h - 16 for h. 0 Solve -k = 4*b + 2, 7*b = -10*b - 2*k - 1 + 33 for b. 4 Solve -146*j + 149*j + 5*k + 4 = -0, -5*k - 172 = -21*j for j. 7 Solve 2*j = -42, 17*l + j + 23 = 18*l for l. 2 Solve -k - 315*u = -275*u + 521, -5*u - 4 = -9*k - 4*u for k. -1 Solve -81664 = 16*w + y - 81489, 5*y + 17 = -2*w for w. -11 Solve 0 = 56362*z - 56385*z + 3*m, 5*z - 3*m = 0 for z. 0 Solve 15*g - 4*a + 2 = 48, -12 = -2*g - 41*a + 43*a for g. 2 Solve -15 - 22 = 4*t - 3*g, 5*t = -3*g - 6760 + 6734 for t. -7 Solve -5*l - 2*i = -36085 + 35952, 3*l - 67 = -i for l. 1 Solve -6*v + 2*g - 151 = -3*v, 27*v + 101 = 25*v + g for v. -51 Solve 2*a - 28 = 6*s, 2 = 2652*a - 2649*a + s for a. 2 Solve -6*d - 384 = -56*s + 54*s, 2*d + 3*s - 25 + 80 = -73 for d. -64 Solve -62314*s - 3*f = -62316*s + 18, 2*f + 10 = 2*s for s. -3 Solve -2*l - 3 = 3*o, 16*l - 60*o - 312 = 14*l - 0*l for l. 6 Solve 21*c - 36 = 17*c + 4*t, 0*t - 66 = -5*c - 2*t for c. 12 Solve -5*y = 0, 2*h - 4*h + 4*h = -0*h + h - 5*y + 18 for h. 18 Solve -3*p - 111 = t - 33*p, 10*p - 9*p + 769 = 87*t - 10 for t. 9 Solve -4*t - t = d + 1, -d - d + 38 = 20*t + 70 for d. 14 Solve 13*r - 9*r + 132 = 21*m - 5*m, -2*r = 10*m - 12*m + 24 for r. -5 Solve 3*i = -14*s - 19, 636*s - i + 4 = 635*s + i - 4 for s. -2 Solve u + 14*u + 27*k + 265 = 10*u, -k = u + 53 for u. -53 Solve -8*z = -5*h + 9, -6*h + 1138*z = 3*h + 1137*z + 7 + 17 for h. -3 Solve 0 = -5*h + 3*b + 497925 - 497806, 0 = 6*h + 2*b - 154 for h. 25 Solve 2*x = 4*g - 72 + 56, -4*x + 6*g - 26 = 0 for x. -2 Solve -2*w = -3*j + 48, 242 = -3*j - 7*w + 141 + 122 for j. 14 Solve -81 = -3*g + 3*p, 5*g - 3*p = -10*p + 106 + 5 for g. 25 Solve -20*n + 41*n - 680 = -84*u + 23*n, 4*u - n = 36 for u. 8 Solve 3099*v - 3098*v = -5*i + 191, 0 = -31*v - 2*i + 107 for v. 1 Solve 2*i - 120 - 166 = m - 240, -2*i + 92 - 42 = m for i. 24 Solve 2*v = -0*n + 9*n + 2*n + 7, 879*n - 1 = 880*n for v. -2 Solve 5*k - 5*t = 240, -19*t + 22446 = 4*k + 22300 for k. 46 Solve 0 = -2*v + 110*x - 95*x - 126, -4*v - x = 4 for v. -3 Solve 0 = 4*m - 112*x + 111*x + 44, -m + 126*x = 72 + 442 for m. -10 Solve b = -39, 3*b + 122 = 3274007*l - 3274008*l for l. -5 Solve 1129*c - 1126*c - 750 = -244*u, -4*c + 12 = -4*u for c. 6 Solve 10*a - 118 = 995*c - 939*c, 2*a + 3*c = 52 for a. 23 Solve -j = 4*s + 24, -692*j - 5*s = -694*j - 22 for j. -16 Solve -2078 = -5*t - 421*j + 3006 + 5877, -107 = -t - 4*j for t. 3 Solve 0 = 3*p + f - 21, -p - 2*p + 2*f - 318 = -161 - 169 for p. 6 Solve -7*c + 3 = 2*j - 5 - 0 - 3, 17*c - 85 = 0 for j. -12 Solve -3*m + m + 4*h = -2*m - 12, m - 762*h - 1518 = 757 for m. -11 Solve 13*g = 3*p + 10*g + 24, 0 + 3 = -g + 5 for p. -6 Solve -2*f - 71 = -5*z - 41, -11*z + z = -f - 15 for z. 0 Solve 112 = -2824*g + 2840*g, -7*u + 2*g = -9*u + 34 for u. 10 Solve -6*k + 6 = 2*f - 2, 0*k - 91*f - 114 = -5*k - 108*f for k. -1 Solve 39191*s = 39186*s + 2*a - 65, 0 = a - 35 for s. 1 Solve -p = -k - 36, 3*k + 12*p - 15*p = -6*p + 114 for k. 1 Solve -n + 3*j = 13*j + 8*j - 144, j = 4*n + 8 for n. 0 Solve -20*d + 0*d - 8*n - 160 = -5*n, -3*n = 9*d + 72 for d. -8 Solve -7*f + 7 = 3*v - 0*f, 4*v + 0*f = 2*f + 24 + 40 - 66 for v. 0 Solve 31*u + 4*k - 1 = 33*u - 3, 3*u + k - 3 = 0 for u. 1 Solve -8*p - b = -11*p + 8*p - 15, 0*p + b + 3 = 4*p for p. 2 Solve -9*l + 5 = d, -51*l + 104*l + 7*d + 29 = 54*l for l. 1 Solve -55*b - 25 = -60*b + 10*y, -3*y = -3*b + 6 for b. -1 Solve -5*f + 275 = 29*b, -4*f - 4*b = f - 150 for f. 26 Solve 10*h = 4*z + 8*h + 30, 11717 = -2*z - 2*z - 3*h + 11692 for z. -7 Solve -13*r + 29 = -5*a - 10*r, 11*r - 15*r = -2*a - 20 for a. -4 Solve -g = -1872481*t + 1872494*t - 7, 35 = 5*g - 3*t for g. 7 Solve 0 = -27*k + 24*k - 15, h + 4*k = -21 for h. -1 Solve -5*y + 40 = 5*n, 111410*y = 111413*y + 4*n - 23 for y. 9 Solve 680 - 701 = o + 2*y, -2 = 3*y - 2 for o. -21 Solve -12*s + 3*c + 81 = 0, -2*c - 7462 + 3733 = -s - 3731 for s. 8 Solve 4*j + 6 = d, -j + 2*d = -21817 + 21864 for j. 5 Solve -3*g + 2*g = p + 5, -g = 2*p - 1680 + 1682 for g. -8 Solve 0 = 12*g - 17*g + n - 19, -3*g = -27*n + 32*n + 17 for g. -4 Solve 0 = -4*p + 2*w + 12, -w - 844 + 842 = 0 for p. 2 Solve 7*n - 7*n - 3*n + 4*y = -7, -2*y + 28 = -12*n for n. -3 Solve 110*j + 76 = -f + 74, -f = -8*j + 4*j + 2 for j. 0 Solve 3*a - 10*l = 108496 - 108345, a + 35 = -2*l for a. -3 Solve c + 80 = -12*w - c, -9*w - 4*c + 43 = -9*w - 5*w for w. -7 Solve -4*h - 6 - 15 = 2*d + 7, 231 = 5*h - 104*d - 1438 for h. 1 Solve -15*n - 6*n + 24*n = 7*b + 8, -b + 52 = 4*n for n. 12 Solve 2*p = 3*q + 122, -229*q + 6*p + 118 = -231*q for q. -44 Solve 4*g = -265*f + 266*f - 39, 4*g + f - 37 = -2*f for g. -5 Solve 6*g = o - 0*g + g - 3 - 0, -2299*o + 3*g - 161 = -2291*o for o. -22 Solve 6*a - 5 = 7*a - q, 3*a + 4*q - 8 = 5*a for a. -6 Solve -8*f - 5*u = -60, 9*f + 2*u - 4*u = 16*f - 24 for f. 0 Solve -128*i = -2*j - 120, -2*i - 11*j = -10*j - 6 for i. 1 Solve -t - 2*x = -22, -2504*t + 1258*t + 1250*t - 79 = -7*x for t. 4 Solve -6 - 18 - 1 = -y - 3*a, 0 = 29*y + 4*a - a + 31 for y. -2 Solve n - 4*t - 98613 + 98615 = 0, 0 = 5*n + 4*t + 10 for n. -2 Solve d - 5*f + 379 = 358, -144*d + 551 = -5*f for d. 4 Solve 3*f - 271 = 3*p - 259, -5*f - 29 = 11 - 20 for p. -8 Solve -s = -25*n + 5*s - 738, -106*n + 111*n - 2*s + 146 = -0*s for n. -30 Solve -102 - 30 = 2*f + 4*h - 0*h + 10, -2*f + 117 = -3*h for f. 3 Solve 0 = -4*v + 5*t + 3 + 6, -581*t + 584*t - 5 = 5*v for v. -4 Solve 27*i + 9*i + 3*z = 31*i + 51, 3*z - 4*z = 2*i - 18 for i. 3 Solve -5*v = -1204*u + 1241*u - 723, -84 = -2*v - 4*u for v. 4 Solve k + u = -16, 540*k - 3*u = 541*k + 26 for k. -11 Solve -a + 17726 = 5*g + 17707, 4*g = -2*a - 3*a + 32 for a. 4 Solve -4*q - 2*f - 1245 = -6*f - 1213, -q + 8 = 3*f for q. -4 Solve 25*z + 347*w - 342*w - 1920 = 0, 5*z = 2*w + 387 for z. 77 Solve 17*o = -13*o + 540 - 450, -4*j + o + o + 101 = -3*o for j. 29 Solve -3*l + f - 5 = 0, -250*l - 259*f + 1295 = -255*l for l. 0 Solve -a - 75 = -17*h, 226111*h + 2*a = 226112*h + 3*a + 3 for h. 4 Solve -148*i + 3*s = 228*i - 2759 + 127, -i + 14 = 4*i - 3*i - s for i. 7 Solve 2*h - 1090 + 1250 = -28*i, -h - 71 = -3*i + 8*i for h. -66 Solve -l + 7502 = -375*g, 24772*l - 24771*l + g - 2*g = 22 for l. 2 Solve -99*u = -99*u - v + 4*v + 9, 0 = -2*u - 4*v - 12 for u. 0 Solve -2*g + 4*h = 14, 26070453*g = 26070449*g + 29*h - 112 for g. 1 Solve -j - t = -33, -8*j + 18*j = 4*j - 5*t + 168 for j. 3 Solve 1078 = 4*y - 187*h, -373 - 352 = 5*h - 695 for y. -11 Solve -4*r = f + 10, 2*r - 11065*f + 11069*f = -12 for r. -2 Solve z - 2*b - 1769 + 888 = -892, 4 = -2*b for z. -15 Solve 4*h - 496660 + 496646 = -2*q, -3*q + 4*h - 29 = 0 for q. -3 Solve 4*a + 122 - 42 = 8*y, 2*a = 7*a - 4*y + 34 for a. 2 Solve -11422*o + 11420*o - r = 17, -63 = 3*o - 11*r for o. -10 Solve -13*u + 10*u = 90, 2*u - 5*u - 58 = -8*j for j. -4 Solve -3*a + a - 210 = a - 4*a + q - 198, 2*a - 174*q + 492 = 0 for a. 15 Solve -3*i = 3*o - 42, -2*i - 383537 + 383551 = -5*i + 5*o for i. 7 Solve -39*b = -3*a - 22*b - 20*b, -a + 3*b - 14 = 2 for a. -4 Solve 6*f - 23 = -3*f + 5*f + h, 60*h - 77*h - 11 = 27*f for f. 4 Solve 2*l - 182 - 188 = 5*h - 371, 12*l - 96 = -4*h for l. 7 Solve -6*o - 59 = h - 79, -4*o - 4*h = -2*h - 16 for o. 3 Solve 3*p - 1161 - 1162 = -4*n + 1162 - 3488, -4*n - 2*p = 2 for n. 0 Solve 46 = d - 2*l, 0 = 2*d - 207*l + 213*l - 72 for d. 42 Solve -5*i - 2*r - 1069 + 1055 = 0, 0 = i + 4*r + 28 for i. 0 Solve 5*f + 7*t + 12 = 6*t - 8, -7*f + 5*t + 100 = 0 for f. 0 Solve 3*a = -46*w - 4*w - 26*w - 307, w - 9 = 5*a + 2*w for a. -1 Solve -5*h - 131 = -5*u + 104, -h + u = -4*h + 35 for h. -3 Solve 244*u - 212*u - 99 = k, -4*u + 24 = -4*k for k. -3 Solve -5*y = -n + 35, 7*n - 56 = 6*y + 19 - 4 for n. 5 Solve 0*w - 89 = -3*i - 2*w, 156 = 7*i - 10*i + 3*w for i. -3 Solve -2*o + 2028 = 2038, -2*t = -6*o - 30 for t. 0 Solve 3*c + 51 + 37 = 160*n,
{ "pile_set_name": "DM Mathematics" }
y 35.6 and 0.0366. 1.30296 -0.22108 * 145 -32.0566 Multiply -19724 and 0.203. -4003.972 -140*-12291 1720740 218974*5 1094870 Calculate 37.6*-1355. -50948 -5193 times 7 -36351 -142394*0 0 Work out 15 * -420. -6300 -0.706 * 0 0 What is 2696 times 2? 5392 -24156*-0.94 22706.64 Multiply 4 and 0.014931. 0.059724 -377 * 0.053 -19.981 -5*-0.683392 3.41696 What is the product of -224 and -1444? 323456 What is 372 times -200? -74400 Multiply -0.144 and -174. 25.056 -136468 * -3 409404 Work out -39426 * 0.3. -11827.8 Work out -64 * 2.1468. -137.3952 What is the product of 1444 and -28? -40432 -1.686*0.24 -0.40464 What is the product of 95167 and 0.4? 38066.8 What is the product of -0.4 and 66144? -26457.6 0.1 * -12284 -1228.4 Product of -10228633 and 1. -10228633 What is the product of -119843.9 and -1? 119843.9 What is the product of -28 and -0.63151? 17.68228 Product of 0.5 and -5246.8. -2623.4 Multiply 7.6074 and 0.4. 3.04296 847*-9 -7623 Product of -2.325 and -10.1. 23.4825 Product of 0.12 and -3.89. -0.4668 2.285 times 506 1156.21 Work out -132 * -6134. 809688 What is the product of -119.032 and 26? -3094.832 Calculate -0.1*-41810. 4181 Work out 1.948 * 10. 19.48 2.452 times 5.75 14.099 Product of -154275 and -0.012. 1851.3 -269039 times 7 -1883273 Calculate -49*-0.02444. 1.19756 Calculate -3.13*-0.0363. 0.113619 Multiply -38.16 and 0.5. -19.08 What is the product of 0.245 and 20556? 5036.22 Calculate -927.37*0.18. -166.9266 What is -2 times -6238? 12476 5.81 times 67 389.27 Work out 0.3 * -0.869. -0.2607 -330*3.2 -1056 -43*767.37 -32996.91 -45 times 14.9 -670.5 2035 times -21 -42735 Multiply -239.339 and 0.5. -119.6695 -3880*2.45 -9506 -176 times 0.199 -35.024 What is the product of -5660 and 3? -16980 What is 498 times 2746? 1367508 Work out 0.012 * -382. -4.584 What is the product of 1 and -117.091? -117.091 What is the product of 23.605 and -0.046? -1.08583 Product of 52232 and -0.3. -15669.6 0 * -12732 0 -5*-200826 1004130 What is the product of -76 and -0.108? 8.208 Multiply 4 and 1639. 6556 Calculate -0.15*0.1038. -0.01557 Multiply 554 and 153. 84762 What is 34 times 177? 6018 0.1 times 0.527655 0.0527655 What is -72 times -12.86? 925.92 Work out 2.392 * -0.009. -0.021528 What is the product of -16 and 139.6? -2233.6 Work out -17969 * -104. 1868776 -41095 * -8 328760 Calculate -76090*-6. 456540 Calculate 0.09556*-39. -3.72684 Calculate -1.4244*16. -22.7904 What is the product of 52 and -63.86? -3320.72 Product of -3520 and -41. 144320 What is 0.029 times 241? 6.989 What is the product of 59128 and -33? -1951224 Work out 1441.2 * 2. 2882.4 -0.02839511 * 0.4 -0.011358044 What is the product of 54354 and 2? 108708 Work out 28.34 * 26. 736.84 0*-14.0693 0 1.1 times 0.67703 0.744733 Product of 0.07 and 20.66. 1.4462 Work out -129 * 3860. -497940 What is the product of -0.097 and 98? -9.506 Calculate -19418*-27. 524286 -156*9455 -1474980 3*-1.5806 -4.7418 -141000 * -0.08 11280 -171988 times -0.3 51596.4 2 times 196889 393778 What is 0.3 times 473900? 142170 Work out 0.5 * -68.77. -34.385 -1.729597 * -2 3.459194 Calculate 0.4227*-17. -7.1859 Work out 0.104 * -808. -84.032 Calculate 7.4569*-0.056. -0.4175864 Work out -353 * -152. 53656 Multiply 35373.7 and 10. 353737 What is the product of -4 and -32004.6? 128018.4 Product of -8079 and -3. 24237 Work out -15975 * 80. -1278000 Calculate -1.08*-1451. 1567.08 What is 0.0593 times -43? -2.5499 Work out 0.1 * 1006714. 100671.4 What is the product of 0.896 and 0.1586? 0.1421056 Calculate -0.112959*-5. 0.564795 -0.08503*-2.2 0.187066 1.47*-0.088 -0.12936 -4.22 * -722 3046.84 -4 * -437 1748 Work out -695.5 * 7. -4868.5 Product of 0.3 and 0.0785. 0.02355 1.4874 * 1.1 1.63614 -43 * -1249 53707 -342*-108.6 37141.2 Product of -24698 and 2. -49396 Work out 0.3 * -106683. -32004.9 0.05 times -11117 -555.85 Work out -0.01 * -0.14965. 0.0014965 -4*0.058507 -0.234028 What is the product of -1668 and -35? 58380 191.3938*-0.2 -38.27876 Calculate 0.5*396751. 198375.5 Calculate 0.0145*-0.69. -0.010005 Product of -2 and 466.65. -933.3 What is the product of -4.9 and 0.3132? -1.53468 Product of -0.02 and -10.8743. 0.217486 Calculate 115.6*-49. -5664.4 What is -2641 times 1.7? -4489.7 Multiply -56.1 and 166. -9312.6 What is the product of -0.0709 and -12.5? 0.88625 Work out 0 * 7160. 0 -0.1 times 21.774 -2.1774 Work out 7 * -0.31566. -2.20962 Product of 2 and -19.4. -38.8 What is 1 times -0.10563? -0.10563 Work out -89.8 * -28.4. 2550.32 What is -112 times 6137? -687344 Multiply 575 and 6. 3450 -105*-0.415 43.575 Calculate 4*1.499. 5.996 -642*-18 11556 What is -26.3 times 1128? -29666.4 Work out -0.9 * -2.6152. 2.35368 Multiply 5 and -46721.5. -233607.5 Calculate -21700*9.5. -206150 1.13 * -13587 -15353.31 Multiply -56 and 118. -6608 What is the product of 264793 and 0.01? 2647.93 Work out -0.07 * -0.340322. 0.02382254 -27 times -22157 598239 -7943 * -0.19 1509.17 Calculate -17446*0.3. -5233.8 What is the product of -0.521019 and 0.3? -0.1563057 Product of -31 and 10867. -336877 Product of 74 and -0.0524. -3.8776 Calculate -0.5*22234. -11117 What is the product of 6 and 2604? 15624 46757*-0.18 -8416.26 What is the product of 63 and 8159? 514017 -10346*-2 20692 0.1 times -62753 -6275.3 Work out 2.151 * -0.2. -0.4302 Product of 1 and -2.0378. -2.0378 -10*951.5 -9515 -14065 times -0.012 168.78 307 times -142 -43594 -107.99 * 377 -40712.23 What is the product of -3.68 and 179.5? -660.56 What is -18 times -0.20084? 3.61512 What is -280875 times -1.9? 533662.5 What is the product of -0.02 and 12189? -243.78 Work out -832.2 * -3. 2496.6 Work out 90235 * -12. -1082820 Work out -36.1 * 0.278. -10.0358 -0.5 * -274762 137381 What is the product of -20306 and -0.2? 4061.2 Calculate -0.5*-1821949. 910974.5 5 times 75696 378480 What is -54.656 times -5? 273.28 Product of -3 and -28058.4. 84175.2 What is the product of -7.98 and -40? 319.2 18.6 * -2387.9 -44414.94 0.2 times 5178 1035.6 -1007*9 -9063 0.19 times -3.071 -0.58349 Product of 2.9 and 1.6117. 4.67393 What is the product of 33.1 and -7102? -235076.2 1738.2 * -20 -34764 What is the product of -1.57 and 124? -194.68 What is the product of 1388 and -125? -173500 What is 16360 times -2? -32720 What is the product of -39 and 36188? -1411332 Product of -0.04 and -28552. 1142.08 6.9 times 1.7769 12.26061 What is 0.2 times -0.062298? -0.0124596 Multiply -1 and 2.92019. -2.92019 What is the product of -65 and 19.36? -1258.4 116217 times 0.1 11621.7 50 * 0.9233 46.165 Calculate 160.8*13.5. 2170.8 -0.18 times -8049 1448.82 0.4*-5858 -2343.2 Work out 51 * -11.56. -589.56 213951 * -0.3 -64185.3 -15417 times -1 15417 Work out 46 * 29. 1334 Work out -689 * 3718. -2561702 88 times -76 -6688 0.2*476156 95231.2 -411978 * -4 1647912 -266328 times -15 3994920 Multiply 0.1 and 20246. 2024.6 4.835*1.2 5.802 What is the product of 26779 and 0.4? 10711.6 Calculate -38396*2. -76792 0.051312*-0.2 -0.0102624 Work out 29997 * -4. -119988 Product of -0.33443 and 2.6. -0.869518 What is -0.158716 times 5? -0.79358 2139331 * -0.5 -1069665.5 -0.1 times -123610.8 12361.08 Work out 8.18 * -0.013. -0.10634 Work out 61984 * 0.6. 37190.4 Multiply 1.4 and -53.07. -74.298 What is -0.3 times -167.14? 50.142 Work out 0.106 * 24.4. 2.5864 Work out -0.125025 * 6. -0.75015 Product of -0.05 and -0.033596. 0.0016798 117*-623 -72891 -2957.3 times 0 0 -66*-0.09 5.94 Calculate 17*500694. 8511798 848.6 * 7 5940.2 What is -2 times 1365.5? -2731 What is -0.93 times 2813? -2616.09 0.3293 times -380 -125.134 Work out 0 * -0.73071. 0 Calculate 1127.91*-0.3. -338.373 -13*-22.82 296.66 18147 * -2 -36294 -0.2659 times -0.047 0.0124973 What is 12 times 0.0751? 0.9012 Work out 8056 * -0.3. -2416.8 2352 * 3 7056 What is 2.32 times 2779? 6447.28 What is -357.1 times 0.051? -18.2121 -29*-0.0031 0.0899 Calculate -2*220.037. -440.074 Work out -0.07177 * -0.7. 0.050239 What is the product of -4645 and -84? 390180 Product of 0.04 and 33904. 1356.16 Product of 15391 and -0.1. -1539.1 -2.1*1238 -2599.8 -0.104719 times -3 0.314157 Multiply 2.32 and -59.35. -137.692 -5 times 32165 -160825 -2386.7*0.4 -954.68 Work out 29614 * -12. -355368 What is the product of 0.8 and -16.18? -12.944 Work out 0 * -1.4245. 0 -127629 times -6 765774 -3246 * 4.93
{ "pile_set_name": "DM Mathematics" }
(-6)/8). Suppose 0 = 2*u - 6*u + 8. Suppose u*c = -2*c - 8. Sort n, c, -5 in increasing order. -5, n, c Let q = 0 + 0.8. Let h = 117 - 112. Sort -1/3, q, h. -1/3, q, h Let p(j) be the second derivative of j**3/3 - 9*j**2/2 - 4*j. Let m be p(6). Suppose 0*s - 5 = 5*s. Sort 5, m, s in increasing order. s, m, 5 Let m = -3 + -1. Put -6, m, -5, -1 in ascending order. -6, -5, m, -1 Let q be ((-10)/(-6))/1 + -1. Suppose 0 - 4 = -2*r. Suppose b + r = f, -3*b - 14 = -0*b - 5*f. Put -0.4, q, b in descending order. b, q, -0.4 Let i be (-22)/(-4) + (-3)/18. Let g be (-611)/(-105) + (-4)/14. Let f = i - g. Sort 2/17, f, -0.5 in descending order. 2/17, f, -0.5 Let l = -26 + 31. Put 2, 2/3, l, -1/3 in increasing order. -1/3, 2/3, 2, l Let p = -5.4 - -5. Let v = p + 0.2. Let x = 42 + -42.1. Put -5, v, x in decreasing order. x, v, -5 Let h = -11 - -10.7. Sort -0.1, h, -4. -4, h, -0.1 Let x = -32/3 - -125/12. Let c = 3/70 + 5/14. Sort c, x, 3 in descending order. 3, c, x Suppose -d = 4*d. Let b be (d + 0)/(0 - 1). Let q be (1*(1 - 2))/1. Put 1, q, b in descending order. 1, b, q Suppose -2*w = 5 + 7. Let y be (-1 + (-14)/w)*3. Sort -2, -4, y in decreasing order. y, -2, -4 Let n = -9 - -18. Let y(b) = b**2 - 9*b - 4. Let q be y(n). Sort 1, 2, q in decreasing order. 2, 1, q Let m(l) = l**2 + 9*l + 10. Suppose 0*i = -2*i - 14. Let v be m(i). Let z(c) = c**3 - 5*c**2 + 3*c + 3. Let x be z(4). Sort 1, x, v. v, x, 1 Let p = 61.9 + -62. Sort -5, p, -1.3 in increasing order. -5, -1.3, p Let g = 0.7 - 2.4. Let k = g + 0.7. Sort 1, -0.5, k in increasing order. k, -0.5, 1 Let c = 0 + 1. Let m = 39 - 26. Let o = m - 12.7. Sort 4, c, o in descending order. 4, c, o Let n be (-92)/(-20) + (-2)/(-5). Sort n, 0.5, 0.2, 8 in descending order. 8, n, 0.5, 0.2 Suppose 3*g = -2*w + 12, g - 13 = 4*w + 5. Let v be (-4)/(-6)*g/(-4). Let u = 4.3 + -4. Put 4, v, u in descending order. 4, u, v Suppose 5*u - 16 - 99 = 0. Let t = -47/2 + u. Put -3, t, -5 in decreasing order. t, -3, -5 Let m = -10 + 11. Sort 7, 5, 0, m. 0, m, 5, 7 Let x = -12 + 8. Let m(i) = 3*i + 3. Let q be m(-3). Let s be (-8)/q*3/(-2). Sort -1/6, x, s. x, s, -1/6 Let z(x) = -x**3 + 3*x**2 - 3*x + 1. Let o be z(2). Let c be o/(-1)*(0 - 5). Put 0, -2, c in increasing order. c, -2, 0 Suppose -3 = 16*d - 13*d. Put -2/3, 15, d in descending order. 15, -2/3, d Let q(c) = -c**3 - 6*c**2 + 8*c + 10. Let r be 2*2/(-8)*14. Let f be q(r). Put -0.4, 0, f in ascending order. -0.4, 0, f Let v(r) be the second derivative of r**4/12 + 5*r**3/6 + 3*r**2/2 - r. Suppose 5*g + 20 - 5 = 0. Let k be v(g). Put -2, 0, k in decreasing order. 0, -2, k Let d = 4.32 + 0.48. Let w = d + -5. Suppose 1 = 2*v - 3. Sort v, w, -2 in increasing order. -2, w, v Let r = -1.93 - -2. Let b = 3.07 - r. Let c = 49/120 - 8/15. Sort c, b, -1 in descending order. b, c, -1 Let w be (2/4)/((-5)/(-2)). Sort 1, 5, w in descending order. 5, 1, w Suppose 4*j - 4 = 3*j. Let g be 1 - -1 - (-1 - -3). Suppose g*u + 25 = 5*u. Sort 1, j, u in decreasing order. u, j, 1 Let w = 6 + -10.5. Let t = 5 + w. Let z = t - 3.5. Sort -0.5, z, -1/3. z, -0.5, -1/3 Suppose -4*s = 8, 0 = 2*t - 2*s + 4*s. Let k(f) = f**3 - f**2 - 2*f. Let g be k(t). Sort -5, 5, g in ascending order. -5, g, 5 Suppose 5*b - 57 = -17. Suppose 0 = -3*m - m - b. Put -1, m, -5 in decreasing order. -1, m, -5 Let m = 1.5 + 1.5. Put m, 2/13, 0.5 in ascending order. 2/13, 0.5, m Suppose 15*n + 74 - 59 = 0. Let v(q) = -q**3 + 6*q**2 + 2. Let g be v(6). Put -4, g, n in decreasing order. g, n, -4 Suppose 3*j + 8 = 3*d - 19, -3*d - 8 = 4*j. Suppose 0 = 4*z, 0*r - 8 = 4*r - 4*z. Put j, 3, r in descending order. 3, r, j Let k = 30 + -28. Sort -2, -3, k. -3, -2, k Let d = 955/4 - 1185/4. Let j = -59 - d. Sort -5, j, -0.4 in increasing order. -5, j, -0.4 Let s = 2 + -2.1. Let d = -4.3 - -4.5. Put s, d, 3/8 in increasing order. s, d, 3/8 Let r be (-5 - -4)*(-2 - 0). Suppose -3*x - 4 = -5*i, -r*x = -5 + 1. Sort -4, -5, i in descending order. i, -4, -5 Suppose 3*c - c = 2. Suppose 8 + 4 = 2*n. Let q(f) = -f**2 + 6*f. Let i be q(n). Put -2, c, i in decreasing order. c, i, -2 Let g = -1.4 + 6.4. Let q = -5 + 5.4. Sort g, q, 2/7. 2/7, q, g Let n = 3.2 + -3. Let f = 0.1 + 0.4. Let o = -7.1 - -7. Sort n, f, o in ascending order. o, n, f Suppose 5*g = 2*w + 3, -2*w - 2*g = -4*w. Let m = -4 + w. Put -4, 2, m in decreasing order. 2, m, -4 Let k = -0.097 + 1.097. Put -3, -5, k, 2/3 in decreasing order. k, 2/3, -3, -5 Let w = 95 - 91. Put w, 1/11, 2/19, 0.5 in decreasing order. w, 0.5, 2/19, 1/11 Let c = -4 + 0. Let h be -2*(c/48)/(-1). Sort 5, -4/7, h. -4/7, h, 5 Let w = -48 - -43. Let r be 8/6*2/(-12). Sort -0.5, w, r in decreasing order. r, -0.5, w Let z = 39.88 - 41. Let u = -0.12 - z. Sort 0.5, -0.5, u in decreasing order. u, 0.5, -0.5 Suppose 5*s + 27 = 2*s. Suppose 6*p = -5*q + 4*p + 3, 0 = -2*q + 4*p + 6. Sort 5, q, s. s, q, 5 Let z = 93 + -90. Put 2, -3/2, z, -0.2 in descending order. z, 2, -0.2, -3/2 Let z = 0.3 + 0.2. Let h = 12/19 - 53/114. Sort 2, h, z in descending order. 2, z, h Let o = 23 - 42. Let u = 21 + o. Put 1/5, 8, u in decreasing order. 8, u, 1/5 Let a = -13.1 + 2.1. Let w = -8 - a. Sort w, 4, -1/4 in ascending order. -1/4, w, 4 Let x = 6 + -5. Put -4/7, x, 0.3, -3 in descending order. x, 0.3, -4/7, -3 Let p = 108/5 + -104/5. Put p, -9, 1 in ascending order. -9, p, 1 Let l = -4.8 + 4.7. Sort 2, 4, l. l, 2, 4 Suppose -3*i + 5*b + 18 = 0, 2*i - b - 7 = -2*i. Let a be 0/7 - (-1 + i). Let r(w) = w - 2. Let f be r(4). Put f, 5, a in decreasing order. 5, f, a Let l = 26.3 + -25. Let u = l + -1. Sort -0.3, u, 0.5. -0.3, u, 0.5 Suppose 2 + 6 = -2*m. Let o = -7 + 12. Suppose -o*d - 28 = -4*w, 0 = -w - d + 3*d + 10. Sort w, 5, m. m, w, 5 Let h = 0.01 - -0.19. Let c(q) = -q + 1. Let o be c(-5). Let a be 75/(-72) - o/(-9). Sort -1/7, a, h. a, -1/7, h Let k = -392 - -3133/8. Let o = -0.1 + -0.9. Let l = 4 + o. Sort k, 5, l in decreasing order. 5, l, k Let h be 124/(-217)*14/4. Put 3, -24, h in descending order. 3, h, -24 Let v(b) = -5*b**2 - b - 1. Let j be v(-1). Let d be 30/(-12) + (-3 - (-21)/6). Sort j, d, -1 in decreasing order. -1, d, j Let l = -2 - 0. Suppose 0 = r + 1, 2*w - w + 3*r = 0. Let j = 4 - 2. Sort w, j, l in descending order. w, j, l Suppose -3*u + 2*u = -5*q - 4, 0 = -u + 4. Put 5, q, -4 in increasing order. -4, q, 5 Let l = -17 - -19. Suppose -2 = 5*i + 2*y, 0*i - l*y + 10 = -i. Sort -5, i, -4 in decreasing order. i, -4, -5 Let x(c) = c + 6. Let a be x(-5). Let w(n) = -4*n**3 - 2*n**2 + 1. Let h be w(1). Let d be (2 + -3)*(5 + -4). Sort d, a, h in decreasing order. a, d, h Let x be 2 + (-3)/(6/(-4)). Let q be (-3)/(-6)*-10*-1. Suppose -5*c + 4 - 14 = 0. Sort c, x, q in descending order. q, x, c Suppose 0 = j + 4*x + 6 - 27, 3*j = x + 24. Suppose -2*h = h + j. Sort 4, h, -5. -5, h, 4 Let u(v) = v**2 + 6*v + 5. Let k be u(-6). Sort 7, k, -5 in descending order. 7, k, -5 Let k = -11 + 6. Let z = -6 + 21. Let c be (-5)/z*(2 + 0). Sort -0.3, c, k in descending order. -0.3, c, k Let w = -0.05 - 1.95. Let l = -1.57 + -0.23. Let d = l - w. Put 0, d, -3 in ascending order. -3, 0, d Suppose 3*q + 6 = -3*l, 3*l = 2*l - 2*q + 1. Let r be 12/2*(-2)/3. Suppose 0 = 4*c - 15 + 3. Sort l, c, r in descending order. c, r, l Let r be 26/(-24) - (-1)/3. Let d be (-4)/2 + 1 - (-2)/4. Sort r, 4, d in decreasing order. 4, d, r Suppose 30 = -4*o + 10*o. Put -3, 1, o, 4 in decreasing order. o, 4, 1, -3 Let p(r) = r**3 - 8*r**2 - r + 8. Let x be p(8). Let w(l) = l + 2. Let a be w(x). Suppose 2*g - 15 = u + 7*g, 16 = -2*u - 3*g. Put a, -1, u in ascending order. u, -1, a Let q = -49 + 50. Sort -5, 4, q in increasing order. -5, q, 4 Suppose 4*z - 3 = 9. Suppose -o = -z + 5. Sort o, 4, 0. o, 0, 4 Let f = -4 + 3.6. Let l = -0.2 - f. Let x = 2 - 2.1. Sort l, -1/2, x in descending order. l, x, -1/2 Let x be (6/(-4))/(-1)*-2. Let g be (1 - 0)/(2/4). Sort x, -4, g in descending order. g, x, -4 Let a be (-5)/(5/(-6)) + -2. Let k = 0.4 - -0.6. Let w = -0.5 + k. Sort 0, w, a. 0, w, a Suppose 2*t + 4*s = -3*t + 24, 1 = s. Let q be (1 + 0)/(t/40). Let h = q - 10. Sort -2, h, 5 in increasing order. -2, h, 5 Suppose -4*z - 4*i - 4 = 0, z + 4*i - 20 = 3*z. Let b = 7.86 + -7.8. Sort z, b, -3 in descending order. b, -3, z Let h be (20/(-25) - -1)*25
{ "pile_set_name": "DM Mathematics" }
g + 178, g = -m - m + 181. Let j(f) = -19*f**3 + 4*f + 3. Let r be j(-1). What is the greatest common factor of r and m? 18 Suppose 0 = -2*g - 2*d + 3946, 13995 - 4146 = 5*g - 3*d. Let t be g/15 + 1 + (-4)/10. What is the highest common factor of 88 and t? 44 Suppose a - l = 8, a - 6*l = -2*l - 4. Let s(t) = 162*t**2 - 2*t. Let c be s(1). Let i = -28 + c. What is the greatest common divisor of a and i? 12 Let z be ((-4200)/16)/7*2/(-3). What is the highest common factor of 20 and z? 5 Let j be (-96)/(-7) + 4/14. Let m = 16 - j. Suppose -5*p + 81 = -m*p. What is the greatest common factor of 3 and p? 3 Let i be (-18)/4*(-30)/45. Suppose -2*n - 3*t = -35, 5 = 2*n - 0*n - i*t. Calculate the greatest common divisor of 80 and n. 10 Let o = -926 + 1751. What is the highest common divisor of 22 and o? 11 Suppose -446*x + 451*x = 3*z + 216, 141 = 3*x + 2*z. Suppose 0*c = 3*c - 54. Calculate the greatest common divisor of x and c. 9 Let f = 159 - 59. Let p(a) = a**3 - 3*a + 2. Let b be p(3). Calculate the greatest common divisor of f and b. 20 Suppose 3808 = 17*l + 11*l. What is the highest common factor of l and 8? 8 Suppose -2*r - 4*b + 1444 = 0, 7*b = -2*r + 6*b + 1441. What is the greatest common divisor of 54 and r? 18 Let s = 55 - 45. Suppose -24 = 7*g - 794. Calculate the highest common factor of g and s. 10 Let f(b) = -8*b - 72. Let l be f(-10). What is the greatest common factor of 172 and l? 4 Suppose 48*v - 45*v = 21. Calculate the highest common factor of v and 553. 7 Let a be 20/20 + 1 + 3. Suppose -q - a = -9. Calculate the highest common factor of 4 and q. 4 Suppose 23*p - 17*p - 384 = 0. Suppose -m + p = -q, -4*m - 3*q + 320 = m. Calculate the greatest common factor of m and 16. 16 Suppose 14*v - 9*v = 10. Let y = 102 + -33. Suppose 0 = -v*i + 5*t + 33, -5*i - t = -0 - y. What is the highest common factor of 7 and i? 7 Let z = 9 + 3. Let f(t) = t**3 + 7*t**2 + 3*t - 6. Let d be f(-4). Calculate the highest common factor of z and d. 6 Suppose 1 + 2 = -3*v. Let n be v + 2 - 1 - -1. Let b be (-2 - n) + (-4)/(-1). Calculate the highest common divisor of b and 7. 1 Let c(k) = 13*k + 308. Let d be c(-23). What is the greatest common divisor of 252 and d? 9 Let c(y) = y**2 + 12*y - 1. Let u be c(-12). Let g be 9/3 + u - 2. Let b = 6 - g. What is the highest common divisor of 12 and b? 6 Let y be 91/(-1)*(-600)/175. What is the highest common factor of 39 and y? 39 Suppose 0 = 11*n + 263 - 318. What is the greatest common divisor of 245 and n? 5 Let r(o) = o**2 - 10*o + 893. Let h be r(0). Calculate the greatest common factor of h and 47. 47 Let y = 200 + -195. Suppose -d + 3 = 3*t, t = d - 2*d - 1. What is the highest common factor of t and y? 1 Let k = 70 - 40. Suppose v + 3 = 2*v. What is the highest common divisor of k and v? 3 Suppose 4*o - 5*q - 183 = 0, -5*o + 280 - 58 = -4*q. Let g = -1 - -1. Suppose g*y = 4*y - 28. What is the greatest common factor of o and y? 7 Let x = 1072 - 1071. Calculate the greatest common divisor of 130 and x. 1 Let h(v) be the first derivative of v**3/3 - 6*v**2 + v - 3. Let m be h(-7). Suppose -k + m = -46. What is the highest common factor of k and 20? 20 Let j = 257 - 236. What is the greatest common divisor of 161 and j? 7 Suppose 0 = -176*z + 192*z - 768. Calculate the highest common factor of z and 64. 16 Let j(i) = i**3 - i**2 - 11*i + 9. Let d be j(4). Let r be d - (12/8 - (-3)/2). What is the highest common divisor of 10 and r? 10 Suppose -5 = u - 3*t, -3*t = -2*u + 2*t - 14. Let q = u + 18. Suppose -2*v - q = -29. What is the greatest common factor of v and 2? 2 Suppose 3*g - 17 + 2 = 0. Let z(p) = p**3 - 2*p**2 - 27*p + 3. Let k be z(-4). What is the highest common factor of g and k? 5 Let b(i) = 2*i - 5. Let d = 7 - -1. Let r be b(d). Calculate the greatest common factor of r and 33. 11 Suppose -2*w = 3*w - 125. Let l = 115 - 105. Calculate the greatest common divisor of l and w. 5 Let w(d) = -16*d + 10. Let n be w(1). Let k be (-10)/(-30) - 34/n. What is the highest common divisor of k and 6? 6 Let p(y) = y**3 + 6*y**2 - 2*y - 9. Let s be p(-4). Let a be 193/(-4) + 4/16. Let o = a + 79. What is the highest common factor of o and s? 31 Suppose 2*r = 63 - 1. Suppose 3*a = 15, 100 = -5*c + a + 370. Let m = c - r. Calculate the highest common factor of m and 12. 12 Let v(m) = m**3 - 7*m**2 + 4*m - 21. Let s be v(9). What is the highest common factor of 3 and s? 3 Let o(a) = -a - 17. Let v be o(0). Let x be (-14)/(-8)*(-5 - v). What is the greatest common factor of 3 and x? 3 Let v = 10 - 6. Suppose -4*u = v*j + 16, -3*j + j - 18 = 4*u. Let b be -30*(1/2 - j). What is the highest common factor of 6 and b? 3 Suppose 0 = -32*o + 17*o + 1560. What is the highest common factor of o and 8? 8 Suppose 23*h = 2*k + 18*h - 224, 5*k = -h + 560. What is the highest common divisor of 80 and k? 16 Let l(q) = 161*q**3 + q**2 - q + 1. Let p be l(1). Let k be 22 + (1/(-6) - (-69)/(-18)). What is the greatest common divisor of p and k? 18 Let u = 16 + 314. What is the highest common factor of 726 and u? 66 Suppose 0 = -4*d - 0 + 20. Suppose -76 = -d*o + 4. Calculate the greatest common divisor of o and 64. 16 Let j = -733 - -702. Let z be (-58)/4*(0 - -2). Let u = z - j. Calculate the greatest common divisor of u and 16. 2 Suppose 0 = -6*s + 1119 - 69. Suppose 3*h = 208 - s. What is the greatest common factor of h and 44? 11 Let z be 45/30*(1 - -29*7). Suppose 2*d - 4*k = 68, -5*d + 4*k + 110 + 60 = 0. Calculate the highest common divisor of z and d. 34 Suppose 5*w = 15 - 5. Suppose w*h - 22 = -0*h. Suppose -3 = f - h. Calculate the highest common factor of 20 and f. 4 Let v(n) = -2*n + 2. Let o be v(-4). Let t = 11 + o. Let z = t - 13. What is the greatest common divisor of z and 88? 8 Let i = -1103 + 1316. Calculate the highest common factor of 781 and i. 71 Let s(n) = -4*n**2 - 4*n - 15. Let y be s(-6). Let v be (-9)/(y/10)*24. What is the highest common factor of 128 and v? 16 Suppose -12 = -3*b - 0, -5*b = 4*n - 68. Suppose 4*y + 3*x - 911 = 4*x, 4*x = -n. Suppose -y = -5*i + 93. Calculate the highest common divisor of i and 8. 8 Let z = 40 + -21. Let n = 47 - z. What is the greatest common factor of 28 and n? 28 Suppose y = 2*p - 5, 4*y = 2*p + 4 - 12. Suppose -r + 9 = p*r. Suppose m + r*v - 99 = 0, 80 = m - 5*v - 19. What is the greatest common divisor of m and 9? 9 Let s be 37/3 + 4/(-12). Suppose 2*p + 4*p = s. Calculate the highest common factor of 12 and p. 2 Suppose 16*n = 18*n - l - 96, -n + 3*l + 48 = 0. Let p(d) = -d**3 + 8*d**2 + 6. Let o be p(8). Calculate the greatest common divisor of o and n. 6 Let c(x) = -31*x**3 - x**2. Let m be c(-1). What is the highest common factor of m and 510? 30 Let l(m) = 22*m**2 + m + 1. Let j be l(-1). Suppose 2*h = a + 180, -59*h - 344 = -63*h - 2*a. What is the greatest common divisor of h and j? 22 Suppose 4*j - 46 = -3*q, -3*q + 3*j = -31 - 8. Calculate the greatest common factor of q and 42. 14 Let n(f) = -f**3 + 24*f**2 + 92*f + 34. Let c be n(26). Calculate the highest common divisor of c and 12. 6 Let o be 2*(2 - 3) - -5. Suppose 2*a = 3*a - o. Let i = 1 + a. What is the greatest common divisor of i and 44? 4 Let n(o) = 20*o + 104. Let g be n(-4). Calculate the greatest common factor of g and 888. 24 Suppose p = 4*p - 78. Suppose 30*h = 27*h + 234. Calculate the highest common divisor of h and p. 26 Let u = 24 + 0. Let j(l) = -l**2 + 17*l. Let f be j(8). What is the greatest common factor of u and f? 24 Let w = 348 - 330. Suppose y - 4*f = -3*y + 68, 3*y - 26 = -2*f. What is the greatest common factor of w and y? 6 Let m(d) = -d**3 - 8*d**2 + 12*d - 3. Let f be m(-9). Let t = 46 + f. What is the highest common factor of 176 and t? 16 Let d be -13*((-10)/(-15))/(8/(-132)). Calculate the highest common factor of 11 and d. 11 Let c be (40/80)/((-2)/(-212)). Calculate the greatest common factor of 159 and c. 53 Suppose -2 - 4 = -p. Suppose -42 = -9*j + p*j. Suppose -2*t + 4 = -2*k - 8, -t = -3*k - j. Calculate the greatest common factor of 1 and t. 1 Suppose 4 = z - 2. Let c = -12 + z. Let d be (3 + 22/c)*-96. Calculate the greatest common divisor of 160 and d. 32 Let o(m) = m**3 + 17*m**2 - 22*m - 65. Let p be o(-18). What is the greatest common factor of p and
{ "pile_set_name": "DM Mathematics" }
se -m - 3*m = 12. Let r be 4/m*(-9)/2. Solve 4*k = -5*x - r, 2*x - 6*x = -4*k - 24 for k. -4 Let r(m) = m + 3. Let w be r(-3). Let b be (w + -5)*(-3)/5. Solve 5*j + d + 20 = 5*d, -5*j - b*d - 20 = 0 for j. -4 Let c(b) = b**3 + 6*b**2 - 2*b - 10. Let j be c(-6). Solve -3*q + 13 = -x, 3*q - j*x = 2*q + 11 for q. 3 Suppose 3*f - 26 = o, 2*o = -2 + 4. Solve 0 = -3*q + q + 4*v + 22, 3*v = -f for q. 5 Let m(z) = -2*z**2 + 10*z + 5. Let q be m(5). Solve -s = q*f - 8, -4*s + 5*f = -8 + 1 for s. 3 Let y = 47 + -47. Solve 0 = -d + 3*b - 0*b + 2, y = b for d. 2 Let r(a) = -a**2 - 8*a + 12. Let b be r(-9). Solve 2*y - b*n + 12 - 5 = 0, -n = 3*y - 17 for y. 4 Let t(d) = -d**2 - 7*d - 4. Let p be t(-5). Let b = 6 - p. Solve -2*o - 4*h + b + 8 = 0, -5*o - 4*h = -2 for o. -2 Suppose -2*i - 13 = -5*c, -3 = -4*i + 1. Solve 3*x - 37 = 4*f - 8, -3*f - c = 4*x for x. 3 Suppose 0*c + 18 = 3*c. Let y = -3 + c. Suppose -14 = -2*v - 0*h + 4*h, 5*v - 46 = -h. Solve 4*q - x - v = 0, 5*q - 6 = y*x - 0*x for q. 3 Let v = -16 + 21. Solve b = -5*n + 13, -v*b + 3*n + 8 = -1 for b. 3 Let l = -18 + 31. Let g = l + -11. Solve -y + 1 = g*s, 1 = -3*s - 5*y + y for s. 1 Let z be (4 - (0 - -2))*69/6. Solve -2*i - 5*m - z = 7, 5 = -5*i + 5*m for i. -5 Let m be 427/63 + 2/9. Suppose -4*k = 2*v + m + 1, -3*v - 4 = 2*k. Solve 4*d = v, -4*f = -0*f + 5*d + 12 for f. -3 Let o(q) = q + 1. Let p be o(-1). Let v = p - -3. Solve 3*k - v = -3*t, 0 = 3*t + 4*k - 0 - 4 for t. 0 Suppose -8 = -4*n - 0*n + 2*l, 3*l + 6 = 4*n. Let m(t) = t**2 - 2*t - 1. Let d be m(n). Solve -3*f + d*x = 5, x - 4 = 2*f - x for f. -1 Suppose 0 = -3*j - 5*g, -4*j + 3*g = 2*g. Suppose -3*h + 2*s + 11 + 48 = 0, -s = -h + 20. Solve j = -4*m - n + 14, -2*n = 3*m + 2*m - h for m. 3 Suppose 0 = -4*u + 8, 0 = 5*o - 4*u - 7 - 15. Suppose -5*w = 4*r - 31, r + 3*w = o*w - 5. Solve 16 = 5*n - 0*k + 2*k, 0 = r*n - 5*k + 7 for n. 2 Suppose 4*p - 5*p = -2. Let h = p - 2. Suppose 0*w + 9 = 3*w. Solve 3*c + w*v - 2 = 1, h = 3*c - 2*v - 3 for c. 1 Let x be 29/((-3)/(-9)*3). Suppose -4*p - 9 = -x. Solve v - 2*v = p*n - 12, -n - 5*v = -12 for n. 2 Suppose 4*v + 2 - 14 = 0. Suppose 3*h - 45 - 15 = 0. Suppose l = -3*l + h. Solve y - 2*z + 18 = -v*y, 0 = -l*y - 3*z - 28 for y. -5 Suppose 0 = n + 1, 4*m - 6 - 1 = -5*n. Suppose -m*a = -5*a. Suppose -8 = -0*h - 4*h. Solve d + 1 = 3*f, 0 = 2*f - h - a for d. 2 Let s be 0 - (-9 - 0) - 4. Suppose s*y = y. Solve y*n - 3*o = 3*n - 9, 4*n + o = 9 for n. 2 Let w(m) = 4*m**3 + m**2 - 2*m. Let v be w(1). Solve 0 = -5*o - v*p + 1, 4*p = -o - 10 for o. 2 Let d(j) = 7*j**3 + 2*j**2 - 1. Let l = -6 - -5. Let u be d(l). Let q = -1 - u. Solve 16 = c + q*t - 2, -12 = 4*c - t for c. -2 Let z = -2 + 6. Let w = -2 + z. Suppose -s - w*s = -15. Solve -10 = -4*x - 3*f, -5*f + s - 3 = 3*x for x. 4 Let p be 1 - 5/(0 - -1). Let a = p + 6. Suppose s = 4*u + 17, -4*s - 3*u + 5 = a*u. Solve -2*x = -4*g - 30, 2*g + x + 30 = s*x for g. -5 Suppose -n + 6 + 5 = 3*r, 2*r = n + 9. Solve -5*b = c - 3*c - 10, -2*c + r*b = 6 for c. 5 Let l(u) = -3*u**2 + 18*u + 1. Let v be l(6). Solve h - a - 4*a - 5 = 0, -v = -2*h + a for h. 0 Let f be (-24)/(-7)*(-35)/(-10). Solve -4*j - f = 0, 9 = 2*k - 3*j - 2 for k. 1 Let n = 7 - 15. Let k = 10 + n. Solve 3*c - 23 = -4*a, 4*c = -0*c - k*a + 14 for c. 1 Let u(r) = -2*r. Let j be u(1). Let a be j*(2 + (-14)/4). Solve 4*c - 5*c = -4*y - a, 0 = 5*c + 5*y - 15 for c. 3 Let t = -14 - -22. Let d(q) = q**3 - 8*q**2 + 5. Let m be d(t). Solve 4*a + j + 4 = -m, -4*j = -2*a for a. -2 Suppose 0 = 5*z - 11 - 9. Suppose -z*n + 27 - 11 = 0. Solve -5*a = -n - 1, 0 = y - 5*a + 2 for y. 3 Let z be (-2)/6 - 6/(-18). Solve -c + 2*o = 4*c - 25, 2*c - 3*o - 21 = z for c. 3 Let h be (-3)/(-2)*4/3. Suppose -2*l = -h - 2. Solve 3*v = -l*i + 9, 5*v - 3*i + 0*i = 34 for v. 5 Let i = -276 + 396. Let j be ((-2)/5)/((-12)/i). Solve -j*r = r - 2*m + 3, 5*r + 4*m = -9 for r. -1 Let b = -10 - -7. Let s(y) = -y**2 - 5*y - 2. Let t be s(b). Solve 0 = w + 5*z - t*z + 2, -w - 2 = 5*z for w. -2 Let b(i) = i**2. Let y be b(2). Suppose -c + 11 = -o + y, 5*c = o + 31. Solve c*a + u = 2*a + 18, a = 2*u for a. 4 Let d(q) = -2*q - 14. Let a be d(-8). Solve 7*o + 3*p = a*o + 32, -2*p = 2*o - 16 for o. 4 Suppose 0 = b - 13. Suppose -b + 3 = 5*m. Let w = 5 + m. Solve 4*c + w*f = -15, 3*c + 11 = c - 5*f for c. -3 Let f = 11 + -3. Solve -3*v - f - 5 = p, -4*p + v = 0 for p. -1 Let s = -6 - -8. Suppose s*c - 14 = 4*c. Let h(w) = -w**3 - 6*w**2 + 8*w + 9. Let z be h(c). Solve -4*x = -3*m - 32, m = z*x + 1 - 15 for x. 5 Suppose o - 5 = n - 0*n, 0 = -4*n - 4*o + 20. Suppose n*p = -5*p + 10. Suppose 0*c - p*c + 6 = 0. Solve 4*b = -5*t + 8, 4*t = c*b - 5*b + 4 for b. 2 Let a be (-1)/3 - 65/(-15). Let k = a + -1. Solve x - 4 = -2*i - k, 5*x - 17 = 2*i for x. 3 Suppose -3 = -b - k, 0 = 5*b - 2*k + 4 - 54. Solve 5 = -2*m - p, 4*p - 4 - b = 0 for m. -4 Suppose k + 48 = 3*k. Solve -4*t = 2*w + 28, 0 = t + 3*t + w + k for t. -5 Suppose 5*m - 36 = -m. Solve -3*f + 2*f + 7 = -3*j, -3*f = -4*j - m for j. -3 Suppose -u = 2*s - 0*s - 9, -2*s - 16 = -4*u. Suppose 5*n - 60 = s*n. Solve -5*k - n = -a, k + 18 = a + 2*a for k. -3 Let q be 8 + -1 + -1 + -3. Suppose 0 = -2*f + 9 - 1, 18 = 2*y + q*f. Solve 0 = -i - 4*g - 9, -5*g - 7 = -y*i for i. -1 Let o = 3 + -5. Let h = o + 5. Solve -h*n + 3*p + 24 = 0, -4*n - 2*p = -10 - 4 for n. 5 Let p be 4/(-10) + 6/15. Suppose -h - 5*s + 20 = p, 2*h + 18 = 5*h + s. Solve -3*u + 19 = 5*v, u + h*v = 4*u + 31 for u. -2 Suppose 0 = -4*s + 9*s. Solve -2*j + 3*p + 12 = s, 5*p - p = -5*j + 7 for j. 3 Let j(k) be the first derivative of -k**2 - 6. Let r be j(-2). Solve 3*i + r*w - 4 = 0, i + 3*w - 2 = -i for i. 4 Suppose t + 0 - 2 = 0. Let d(v) = -v**3 - v + 2. Let c be d(0). Solve c*j + 1 = y + 2*y, -2 = 4*y - t*j for y. -3 Suppose -18*c = -25*c + 14. Let t = -26 - -36. Solve 5*m + t = 0, -c*h = 3*m - 2 + 6 for h. 1 Let t = -2 + 6. Suppose 0 = -0*i - t*i. Solve 4*o = 12, o = -3*c - i*o + 12 for c. 3 Suppose 0 = -3*o - p - 5, -4*o + 2*p - 4*p - 10 = 0. Solve 2*j + 2*m = -8, o = j - 4*j - 2*m - 11 for j. -3 Suppose x = -2*x. Suppose 5*w + 3*z - 40 = x, 0*w + 3*w + 5 = 4*z. Solve 0*o - 5*o = -5*c, w*c + o = 30 for c. 5 Let u be (12/10)/(4/(-10)). Let x be (18/(-1))/(-3) + u. Solve 0 = 4*v - 2*m + x + 17, -5*m + 20 = 0 for v. -3 Let m(s) = -s**3 - s**2 - 3*s - 3. Let x be m(-1). Solve x = r, a + 4 + 1 = -4*r for a. -5 Suppose -p = -5*i + 7, 12 = -p + 5*p. Solve -2*v = o + 8, -o - 3*v = i*o + 12 for o. 0 Let u(k) = k**2 - 13*k + 26. Let i be u(11). Solve v + 3*x - i = 0, 0*v = 5*v + 4*x + 13 for v. -5 Let z(p) = 1 - p + 0 + 0*p**2 + 2*p**2. Suppose -4*f + 3 + 1 = 0. Let u be z(f). Solve 0 = -u*c + 2*i + i - 2, -i - 3 = 3*c for c. -1 Suppose -h - 4*p + 9 = -10, 0 = 5*h - 3*p - 26. Solve 2*n = -w + 3*n + 1, w - 3*n - h = 0 for w. -2 Suppose 2*x + 3*c + 0 - 3 = 0, -4*x - 2*c = -2. Solve -2*g = -3*b + 2*b + 5, -b - 5 = x for g. -5 Let l = 8 + -8. Suppose l = -k - k + 4. Solve 0 = -h - k*i + 5*i + 7, -5*h + 5*i + 25 = 0 for h. 4 Suppose -9 = -2*f - 5*b, -f = -0*b + 3*b - 4. Suppose 0 = 2*n - f + 3. Let g be (2/4)/(n/16). Solve 0 = -2*y - i - 10, -g*y - 6*i = -3*i + 20 for y. -5 Let q be -2*1*(-90)/12. Suppose -g + q = 4*g. Suppose -5*z - 18 = -4*t, -t - g*z - 2 = t. Solve t*b + 5 = r + 2*r, -b = -3*r + 7 for b. 2 Suppose 0 = 2*q - l - 38, 2*q + 2*l - 46 = l. Let s = q + -18. Solve -4*y = -s*j - j + 28, j = -y + 1 for j. 4 Suppose -4*h + 3*h + 4 = -5*l, -l - 5*h + 20 = 0. Let s be l - (3 - (2 - -4)). Solve s*u = -j + 5*u - 1, 5*u - 6 = -j for j. 1 Let m = -53 + 56. Solve 2*z + 2 = 5*t, 7 + m = z + 3*t for z. 4 Suppose -6*g + 3*g = -12. Solve 0 + 20 = -2*d + g*l, 3*d - 2 = -2*l for d. -2 Let m = -3 - -6. Suppose t + 4*u = 25, -t = m*t + 5*u - 45. Solve -3*s + 2*s - 17 = 4*g, -t*g - 37 = -4*s for s. 3 Suppose -3*t - 30 - 12 = -4*r, -r = -4*t - 69. Let m = 28 + t. Solve 5*s - 2*k = -23, 0 = -4*s + k - m - 6 for s. -3 Let g be (-5 + 3 - -4) + 5. Let f(x) = -x**2 + 7*x + 2. Let q be f(g). Solve 0 = -h + 6*l - l + 17, 2*h + 2*l = -q for h. 2 Let m be 1 + (-1 - -1) - 5. Let r be 1/(-3)*0 - m. Let y = -3 + 5. Solve p - r*i + 23 - 3 = 0, -y*i + 10 = p for p. 0 Let b(k) = -k**2 + 10*k - 17. Let g be b(7). Solve y - 3 + 4 = -2*w, -g*y = 4*w for y.
{ "pile_set_name": "DM Mathematics" }
+ 1 - 5 + 2*n + 4*n. Let v(g) be the third derivative of -g**4/4 + g**3/2 - 43*g**2 - g. Let z(x) = -3*k(x) - 4*v(x). Factor z(j). 3*j*(j + 2) Let t(u) be the third derivative of 1/6*u**4 + 0*u - 2 + 26*u**2 + 1/21*u**8 - 2/15*u**5 - 1/10*u**6 + 8/105*u**7 + 0*u**3. Factor t(k). 4*k*(k + 1)**2*(2*k - 1)**2 Let s be -2 - 951/(5/(-10) - -5). Let t = s - -214. What is q in t*q**2 - 4/3*q - 2 = 0? -1, 3 Let 1046*d - 23203*d**2 + 3 + 23554*d**2 + 13*d + 15 = 0. What is d? -3, -2/117 Suppose -5*q - 5*u + 50 = 0, -4*q + 0*u + 35 = 3*u. Suppose 0 = -b + q - 3. Let g(r) = 15*r**2 - 3*r + 2. Let v(k) = -1. Let d(z) = b*v(z) + g(z). Factor d(c). 3*c*(5*c - 1) Let g(s) be the first derivative of -62 - s**2 + 1/3*s**3 - 1/5*s**5 + 0*s + 1/2*s**4. Determine r, given that g(r) = 0. -1, 0, 1, 2 Let -55750 - r**2 - 24*r + 111490 - 55688 = 0. What is r? -26, 2 Suppose 0 = 58*z - 60*z - 2*n - 8, -z = -n - 4. Let k(l) be the second derivative of 0 + 2/5*l**3 + z*l**2 + 20*l + 1/20*l**4. Determine b, given that k(b) = 0. -4, 0 Let w be (-3)/(-3)*(92 - 3). Factor -16*v**2 - 75*v - 9 + 28*v**2 - 17*v**2 + w. -5*(v - 1)*(v + 16) Let f be (205/123*12/(-15))/(-4). Factor 0 - 1/3*b - f*b**2. -b*(b + 1)/3 Let d = 11184 - 1565759/140. Let u(w) be the third derivative of -1/4*w**4 - 1/16*w**6 + 1/5*w**5 + 0*w**3 + 0 - 16*w**2 + d*w**7 + 0*w. Solve u(b) = 0. 0, 1, 2 Let o(a) = -a + 18. Suppose 4*h + 72 - 32 = 0. Let b be o(h). Find r such that -83 + 29 - 20*r + 34 - b*r**2 + 28 = 0. -1, 2/7 Let t(q) = -2*q**2 + 1 + q**3 + 2*q**2 - q**2. Let b(f) = 6*f**3 - 7*f**2 + 5. Suppose 18 + 77 = 19*x. Let n(o) = x*t(o) - b(o). Factor n(y). -y**2*(y - 2) Let c(l) = -l**2 + 23*l + 288. Suppose 0 = 4*n + 3*p + 39, 4*p = 2*n + 3*p + 17. Let x be c(n). Determine q so that x - q - 1/3*q**2 = 0. -3, 0 Suppose 14*l - 19*l = 14160. Let d be l/(-826)*(-2)/(-4). Solve d*m**3 + 2/7*m**4 + 0 + 16/7*m + 24/7*m**2 = 0 for m. -2, 0 Let r = 388 + -382. Factor 79*q - 11*q + 4*q**2 - r*q - 3*q**2 + q**2. 2*q*(q + 31) Let x(g) be the first derivative of -2/3*g**4 + 164 + g + 1/5*g**5 + 4/3*g**2 - 2/3*g**3. What is d in x(d) = 0? -1, -1/3, 1, 3 Suppose 19*g - 2 = 18*g, 2*v = 2*g + 2. Factor -2*r**2 - 5*r**2 + 3129*r - 3093*r + v*r**2 - 80. -4*(r - 5)*(r - 4) Let i(m) = -m**2 - 19*m + 122. Let q be i(-50). Let c = q + 1430. Find x, given that 20/9*x + 2/9*x**c + 50/9 = 0. -5 Let v(g) = -157*g + 148. Let c be v(3). Let l = -323 - c. Find h, given that 0 + 2*h**4 + h**2 + l*h - 9/2*h**3 = 0. 0, 1/4, 2 Let u(v) be the second derivative of v**4/30 + 14*v**3/5 - 171*v**2 - 4*v - 485. Factor u(m). 2*(m - 15)*(m + 57)/5 Let c(u) = -12*u**2 + 330*u + 339. Let s(o) = -39*o**2 + 988*o + 1017. Let a(p) = 10*c(p) - 3*s(p). Solve a(y) = 0 for y. -1, 113 Let f(w) = 39*w**3 - 897*w**2 - 6033*w + 15261. Let n(h) = -3*h**3 + 69*h**2 + 464*h - 1174. Let s(j) = -2*f(j) - 27*n(j). Solve s(x) = 0. -7, 2, 28 Suppose 2*z - 2012*l = -2007*l + 29, 0 = 4*z + 5*l + 17. Let y(p) be the first derivative of -17 + 2/3*p**3 - 7*p**z + 20*p. Determine v so that y(v) = 0. 2, 5 Factor -109/2*p**2 + 78*p - 135/4 + 1/4*p**4 + 10*p**3. (p - 3)*(p - 1)**2*(p + 45)/4 Determine z so that 11 - 132*z**3 - 1024*z - 5275*z**4 - 11 + 5279*z**4 + 1152*z**2 = 0. 0, 1, 16 Let u(f) = -40*f**2 + 11970*f + 24950. Let w(z) = -z**2 + 285*z + 594. Let m(b) = 2*u(b) - 85*w(b). Factor m(t). 5*(t - 59)*(t + 2) Let v = 318 - 328. Let u(d) = d**3 + d**2. Let f(h) = h**4 - 2*h**2 - 31*h - 16*h**3 + 29*h**2 + 3*h. Let g(b) = v*u(b) - 2*f(b). Solve g(o) = 0. 0, 2, 7 Let f be 258*(5/3)/5. Let w = f - -59. Factor -6*c**4 - 4*c**4 - w*c**5 - 5*c + 150*c**5 + 10*c**2. 5*c*(c - 1)**3*(c + 1) Let g(x) be the third derivative of -x**7/5880 - 29*x**6/1680 + 5*x**4/12 - x**3 - 4*x**2 + 12. Let q(r) be the second derivative of g(r). Factor q(n). -3*n*(n + 29)/7 Let w(r) be the third derivative of r**8/33600 - r**7/2800 - r**6/300 - 59*r**5/60 - 15*r**2 - 5*r. Let n(j) be the third derivative of w(j). Factor n(t). 3*(t - 4)*(t + 1)/5 Factor -208 + 2/9*m**2 + 460/9*m. 2*(m - 4)*(m + 234)/9 Let n = 120115/18 - 6673. Let h(x) be the second derivative of 1/3*x**2 + n*x**4 - 11*x + 0 - 2/9*x**3. Factor h(w). 2*(w - 1)**2/3 Let p(i) be the third derivative of 0 + 22/9*i**4 + 28/3*i**3 + 0*i + 1/180*i**6 + 5/18*i**5 + 6*i**2. Determine w, given that p(w) = 0. -21, -2 Factor 36*u**3 - 624 + 31*u - 1298*u**2 - 862*u**2 + 708*u**2 + 1857*u. 4*(u - 39)*(3*u - 2)**2 Let c(a) be the second derivative of 5*a**7/84 + 23*a**6/15 - 423*a**5/40 + 275*a**4/12 - 56*a**3/3 - 3941*a - 2. Let c(t) = 0. What is t? -112/5, 0, 1, 2 Let i(s) be the third derivative of -74/3*s**4 - 107*s**2 + 21/4*s**8 + 1873/30*s**6 + 0*s - 1 + 32*s**7 + 16/3*s**3 + 478/15*s**5. Solve i(w) = 0 for w. -2, -1, 2/21 Suppose 0 = -7*f + 17 + 11. Find b such that 3*b**2 + 21*b**5 + 15*b**4 - 12*b**3 - f*b + 4*b - 27*b**5 = 0. 0, 1/2, 1 Let g(p) = 17*p**3 - 1519*p**2 + 195072*p + 196615. Let r(b) = 22*b**3 - 2026*b**2 + 260096*b + 262153. Let l(c) = -9*g(c) + 7*r(c). Let l(u) = 0. What is u? -1, 256 Let f(i) = -6*i**2 - 1. Let u(v) = -155*v**2 - 415*v - 835. Let j(x) = -25*f(x) + u(x). Solve j(c) = 0. -81, -2 Factor 67*m**4 - 711*m**2 - 1038*m - 170*m**3 - 456 + 38*m**3 - 70*m**4. -3*(m + 1)**2*(m + 4)*(m + 38) Let k(g) be the first derivative of 150*g**2 + 5/3*g**3 - 80 + 4500*g. Suppose k(r) = 0. What is r? -30 Factor 13 - 1/2*l**2 - 25/2*l. -(l - 1)*(l + 26)/2 Let b(r) = r**2 - 29*r + 15. Let s be b(31). Factor -s*t + 3*t**3 - 5 + 23*t + 8*t**2 - 91 + 19*t**2 + 18*t**2. 3*(t - 2)*(t + 1)*(t + 16) Suppose -2/5*v**5 + 144/5*v**2 + 0*v - 4*v**4 + 0 - 24/5*v**3 = 0. Calculate v. -6, 0, 2 Suppose -2*j - 23 = 2*y + 71, 2*j + 96 = -y. Let g = 51 + j. Suppose 8*o + 12*o - 16*o + 4*o**g = 0. Calculate o. -1, 0 Let j(i) = i**3 + 29*i**2 + 34*i + 32. Let y be j(-28). Let g = y + 141. Factor -5*d + d + 7*d**4 - d**4 - g*d**3 + 7*d**3 + 2*d**5 - 6*d**2. 2*d*(d - 1)*(d + 1)**2*(d + 2) Let a(k) = 11 + 0 + 273*k**2 - 282*k**2 + 26*k + 28. Let u = 10 + -6. Let y(v) = 10*v**2 - 25*v - 40. Let o(s) = u*y(s) + 5*a(s). Solve o(h) = 0 for h. -1, 7 Let v(a) be the second derivative of -a**9/560 + 33*a**8/2240 + a**7/15 + a**6/12 - 19*a**4/6 - 92*a. Let o(s) be the third derivative of v(s). Factor o(m). -3*m*(m - 5)*(3*m + 2)**2 Suppose -5*n = -1146 - 289. Let r be 246/n + (-8)/14. Factor -r*b + 0 - 2/7*b**3 - 4/7*b**2. -2*b*(b + 1)**2/7 Let j(w) be the second derivative of -w**8/20160 - w**7/840 - w**6/80 - 3*w**5/40 + 8*w**4/3 - 135*w. Let k(x) be the third derivative of j(x). Factor k(m). -(m + 3)**3/3 Suppose -s + 3 = 2*v, -4*s + 4*v = -5 - 7. Suppose -7*d = -s*d - 8. Suppose -6*f + d*f**3 - 9*f - 8 + 8*f**2 + 13*f = 0. What is f? -4, -1, 1 Let n(j) = 35*j**2 + 5146*j - 2612. Let l(b) = -6*b**2 - 1030*b + 522. Let v(d) = 22*l(d) + 4*n(d). Determine x, given that v(x) = 0. 1/2, 259 Factor 13/4*s**2 + 17/2*s - 12 + 1/4*s**3. (s - 1)*(s + 6)*(s + 8)/4 Suppose a + 6 = 1, 2*j + 3*a = -5. Suppose 4*s - 42 - 73 = -5*b, 3*b - 37 = 4*s. Factor b*z**2 + 4 - 9*z**2 - j*z**3 - 4. -5*z**2*(z - 2) Factor -18*n**2 + 230*n - 13*n**2 + 37*n**2 - 8*n**2. -2*n*(n - 115) Let t(g) be the third derivative of g**5/360 - 517*g**4/72 + 267289*g**3/36 + 10*g**2 - 10. Let t(j) = 0. What is j? 517 Suppose 368*b = 362*b - 978. Let f = b + 819/5. Factor -16/5*g + 12/5*g**3 + 0 + 0*g**2 - f*g**4. -4*g*(g - 2)**2*(g + 1)/5 Let w(s) be the second derivative of -s**6/120 + 11*s**5/80 - 5*s**4/24 - 1429*s. Suppose w(r) = 0. What is r? 0, 1, 10 Let x(a) be the second derivative of -a**7/630 + a**6/180 + a**5/60 + 153*a**2/2 - 128*a. Let z(d) be the first derivative of x(d). Factor z(l). -l**2*(l - 3)*(l + 1)/3 Let o(w) be the first derivative of 3/10*w**4 + 1/10*w**6 + 0*w**2 - 8/5*w**3 + 3/5*w**5 + 18 + 0*w. Solve o(t) = 0 for t. -4, -2, 0, 1 Let q be -22*(-72)/(-7 - -10). Let y = 531 - q. Let 6*p**2 - 15/2*p**4 + 0 + 12*p - 9*p**y - 3/2*p**5 = 0. Calculate p. -2, 0, 1 Let b be (-14602)/(-9387) + 236/45. Solve 2/5*k**3 - 4 + b*k - 16/5*k**2 = 0. 1, 2, 5 Let d(v) = 20*v**3 - 6215*v**2 - 18025*v + 24110. Let g(o) = 3*o**3 - 888*o**2 - 2575*o + 3444. Let b(a) = 8*d(a) - 55*g(a). Determine z, given that b(z) = 0. -173, -4, 1 Let n(b) be the second derivative of b**4/12 - 19*b*
{ "pile_set_name": "DM Mathematics" }
50)/(-168)). Factor 14 + 157*k - 4 - v*k + 4*k**3 - 44*k**2 - 110. 4*(k - 5)**2*(k - 1) Let d(n) be the first derivative of -9*n**3 + 51*n**2/2 + 6*n + 23. Factor d(y). -3*(y - 2)*(9*y + 1) Let h(d) be the third derivative of -d**5/150 - d**4/12 - 2*d**3/5 - 64*d**2 + 2. Factor h(l). -2*(l + 2)*(l + 3)/5 Suppose -99 = -39*w + 18. Factor 0*q + 6/19*q**w + 2/19*q**4 + 4/19*q**2 + 0. 2*q**2*(q + 1)*(q + 2)/19 Let w = 23 - 95. Let l be (-26)/60 - 60/w. Factor -l*b**3 - 2/5*b**4 + 2/5*b**2 + 0*b + 2/5*b**5 + 0. 2*b**2*(b - 1)**2*(b + 1)/5 Suppose -5 + 21 = 4*b. Determine o, given that 11*o**2 - 15*o**2 - 5*o**3 + 8*o + b*o**4 - 3*o**3 = 0. -1, 0, 1, 2 Let c(o) be the third derivative of -o**8/211680 - o**7/26460 + o**6/2520 + 2*o**5/15 - 11*o**2. Let g(z) be the third derivative of c(z). Factor g(a). -2*(a - 1)*(a + 3)/21 Factor 74/7*l**4 + 0 - 4/7*l + 144/7*l**3 + 66/7*l**2. 2*l*(l + 1)**2*(37*l - 2)/7 Let y(c) = c**3 - 3*c**2 + 2*c - 3. Let x be y(-3). Let o = x + 68. Find m such that -26/11*m**4 + 8/11 + 6/11*m**o - 6/11*m**2 - 16/11*m + 34/11*m**3 = 0. -2/3, 1, 2 Suppose 0 = -2*c + 8, 0*f + 4*f + 3*c = 36. Suppose 27 = f*h + 9. Factor 1/2*q**h - 3/2*q - 1 + 0*q**2. (q - 2)*(q + 1)**2/2 Factor -22 - 1/2*k**2 + 12*k. -(k - 22)*(k - 2)/2 Let b be 1/3 + 62/30. Let r(c) = 41*c - 1145. Let d be r(28). Factor -4/5*x**d - 4/5 - 12/5*x**2 - b*x. -4*(x + 1)**3/5 Let v(w) be the third derivative of w**5/30 - 15*w**4/2 + 52*w**2. Determine i so that v(i) = 0. 0, 90 Suppose -a + 93 = -5*y + 109, 5*y - 3*a = 28. Determine l, given that 24/7*l + 0 + 30/7*l**3 - 6/7*l**4 - 48/7*l**y = 0. 0, 1, 2 Suppose 39*h + 5*h = 88. Let u(g) be the first derivative of 0*g**2 + 5/6*g**6 - h*g**5 + 4 + 10/3*g**3 + 0*g - 5/4*g**4. Factor u(q). 5*q**2*(q - 2)*(q - 1)*(q + 1) Suppose 2*x = -3*h, -3*h + x + 13 = 4. Factor -6*k**h - 9*k**2 + 60*k - 30*k**2 - 20. -5*(3*k - 2)**2 Factor -88/9*b + 92/9 - 4/9*b**2. -4*(b - 1)*(b + 23)/9 Let a be 5/(-12)*465/(-775). Suppose 1/4 - a*b**3 - 3/4*b + 3/4*b**2 = 0. Calculate b. 1 Let x = 9814/7365 - -2/2455. Let 4/3*w**4 + 0 - x*w**2 - 2/3*w**3 - 1/3*w**5 + w = 0. Calculate w. -1, 0, 1, 3 Let z(k) = k - 7. Let x be z(9). Let c(o) = o - 2. Let h be c(4). Determine n, given that -2 - n**2 - 11 + 12*n - x*n**h + 4 = 0. 1, 3 Let v(p) be the second derivative of p**8/13440 + p**7/15120 - 13*p**4/12 - 5*p. Let c(m) be the third derivative of v(m). Factor c(f). f**2*(3*f + 1)/6 Let d(v) = -3*v**3 + 3*v - 6. Let l(b) be the first derivative of b**4/4 - b**3/3 + b - 9. Let n(i) = -d(i) - 6*l(i). Factor n(q). -3*q*(q - 1)**2 Suppose -5*y = -8*y + 9. Factor 2*q**3 - 3*q**y - 3*q**2 + q - 33 + 36. -(q - 1)*(q + 1)*(q + 3) Let w(q) be the third derivative of q**9/22680 - q**7/2100 - q**6/1350 + 49*q**3/6 + 5*q**2. Let p(y) be the first derivative of w(y). Factor p(i). 2*i**2*(i - 2)*(i + 1)**2/15 Determine o so that -32 - 63*o**2 + 35*o**3 - 102*o**2 + 92*o + 73*o**2 - o**5 - 2*o**4 = 0. -8, 1, 2 Let a be 6 - 3 - 3 - -3. Suppose -2*p = 2*y - 10, 2*y = -a*p + 4*y + 20. Determine k, given that -24*k**2 - 6*k**3 + p*k**4 - 3*k**4 + 15*k**2 = 0. -1, 0, 3 Let u(l) = 29*l + 177. Let k be u(-6). Factor 6/13*y**2 - 8/13 + 0*y + 2/13*y**k. 2*(y - 1)*(y + 2)**2/13 Let c(p) be the first derivative of p**7/6720 + p**6/2880 - p**5/480 + 13*p**3/3 - 24. Let h(z) be the third derivative of c(z). Factor h(a). a*(a - 1)*(a + 2)/8 Suppose 0 = k - 2*k - 3*k. Let s be (k/((-6)/(-9)*-6))/1. Factor s - x + 1/2*x**2. x*(x - 2)/2 Let r be ((-10)/15)/(-2)*30. Let j be (-8)/(-2) - (128/r - 9). Factor 0*y**2 + 0*y - 1/5*y**3 - j*y**5 + 0 - 2/5*y**4. -y**3*(y + 1)**2/5 Let a(q) be the first derivative of 1 + 2/5*q**5 + 4*q**3 + 0*q + 0*q**2 + 5/2*q**4. Let a(j) = 0. What is j? -3, -2, 0 Let g(p) be the third derivative of p**4/24 + p**3/6 - 41*p**2. Let k(m) = -5*m**2 + 17*m - 3. Let s(r) = -3*g(r) - k(r). Factor s(l). 5*l*(l - 4) Let d(t) be the first derivative of 2*t**5/15 - t**4/6 - 10*t**3/9 - t**2 - 909. Determine k so that d(k) = 0. -1, 0, 3 Suppose 6*f = 7*f - 7. Factor 10*m - 13*m**2 + f*m**2 + 0 + 4. -2*(m - 2)*(3*m + 1) Factor -2/11*g**2 - 13448/11 + 328/11*g. -2*(g - 82)**2/11 Let j be 1/9*(84/(-8) - -5 - -10). Factor -1/4*n**2 - 1/8*n**5 - j*n**4 - 5/8*n**3 + 0*n + 0. -n**2*(n + 1)**2*(n + 2)/8 Determine r so that 10*r + 5*r + 2*r**3 + 6*r**2 + 2 - 9*r = 0. -1 Let d(j) = -8*j**2 - 3*j + 5. Suppose p - 4*a = -28, -3*p + 3*a - 25 - 14 = 0. Let l(i) = -12*i**2 - 4*i + 8. Let r(h) = p*d(h) + 5*l(h). Factor r(c). 4*c*(c + 1) Suppose -8*d + 6*d - i = -10, 0 = -4*d + i + 26. Let g(b) be the first derivative of 10/3*b**3 - 35/4*b**4 + d - 10*b + 35/2*b**2. Factor g(h). -5*(h - 1)*(h + 1)*(7*h - 2) Let y(c) be the third derivative of c**8/5040 + c**7/1260 + c**5/30 + 23*c**2. Let m(j) be the third derivative of y(j). Factor m(k). 4*k*(k + 1) Let u(b) be the first derivative of b**6/30 - 4*b**5/25 - 11*b**4/20 - 2*b**3/5 - 106. Solve u(m) = 0. -1, 0, 6 Let f(r) be the first derivative of 23 + 0*r**2 + 1/3*r + 0*r**4 - 2/9*r**3 + 1/15*r**5. Determine v so that f(v) = 0. -1, 1 Let m(b) = 2*b**2 + 45*b - 239. Let j be m(-27). Solve 7*i**5 + 0 - 16/5*i**2 - 9/5*i**3 + 46/5*i**j + 4/5*i = 0 for i. -1, 0, 2/7, 2/5 Let x = 3098 - 3096. Find u, given that -4*u - 1/3*u**x - 12 = 0. -6 Let w(l) = 35*l - 10. Let h be w(9). Suppose -2*b + 1232 = 2*b + 4*g, -2*g - h = -b. Factor -2*k - 313*k**2 + b*k**2 - 2*k**4 + 3*k**4 - 3*k**4 - 6*k**3. -2*k*(k + 1)**3 Let g be 1*(16/12 + 8/12). Let t(r) = -r**3 - 3*r**2 - 4*r - 2. Let f be t(-2). Determine u, given that -f*u + 10/3*u**g - 4/3 = 0. -2/5, 1 Let m = 11/65 + 3/13. Let v(h) be the first derivative of 1/15*h**3 + 3/5*h + m*h**2 - 3. Find t such that v(t) = 0. -3, -1 Suppose 6 - 10 = -2*h. Factor 14*n**h - n**3 + 5*n**3 + 8*n - 26*n**2. 4*n*(n - 2)*(n - 1) Let w(l) = 2 - 6*l**2 - l + 7*l**2 - 1. Let o(x) = -x**3 - 2*x**2 - 4*x. Let q(u) = o(u) - w(u). Find z, given that q(z) = 0. -1 Let l(n) be the second derivative of n**5/50 - n**4/15 - n**3/5 - 104*n. Let l(w) = 0. Calculate w. -1, 0, 3 Suppose -y = 5*a - 13, -a + 5*a + y = 11. Suppose a*t - 1 = 3. Factor 3*l + 3*l**2 + l**t - 13*l**2. -3*l*(3*l - 1) Suppose 0 = 5*f + 2*f. Let w(j) be the third derivative of 8*j**2 + 1/150*j**5 + 1/600*j**6 - 4/15*j**3 + 0*j + f - 1/30*j**4. Factor w(h). (h - 2)*(h + 2)**2/5 Let c be 31/11 - (-26)/143. Let n be (3/c)/(1/11). Let -8*h**2 - 6 + 2*h + h + n*h**2 = 0. Calculate h. -2, 1 Suppose 10 + 5 = -5*i + 2*k, 4*k = 4*i + 12. Let u = 5 + i. Suppose -2*y**4 - 2*y**4 - 64 - 12*y**u - 22*y + 16*y**3 + 80 + 6*y = 0. Calculate y. -1, 1, 2 Suppose -5*m - k - 43 = 0, 2*k + 14 = -3*m - 9. Let q = 14 + m. Find j such that q - 2 + 2*j**2 + 5 + 8*j = 0. -2 Let j be (-2)/(-8)*-9*8/(-6). Let p(c) be the first derivative of 0*c + 9/5*c**5 - c**j + 0*c**2 + 5 + 3/2*c**4. Factor p(h). 3*h**2*(h + 1)*(3*h - 1) Let w(s) be the third derivative of 16*s**6/105 + 88*s**5/105 + 5*s**4/4 + 6*s**3/7 + 64*s**2. Factor w(k). 2*(k + 2)*(8*k + 3)**2/7 Let o(t) = -t**3 + 9*t**2 - 2*t - 46. Let g be o(8). Factor 32/15 + 2/15*q**g + 16/15*q. 2*(q + 4)**2/15 Factor 2/7*o**3 + 0*o**2 - 12/7 - 2*o. 2*(o - 3)*(o + 1)*(o + 2)/7 Let h(n) be the first derivative of -29 + 2/5*n**4 + 0*n**3 + 1/15*n**6 + 0*n**2 + 0*n + 8/25*n**5. Factor h(a). 2*a**3*(a + 2)**2/5 Let m(g) be the first derivative of -2/9*g + 2/27*g**3 - 1/9*g**2 - 7 + 1/18*g**4. Factor m(z). 2*(z - 1)*(z + 1)**2/9 Let u = -19 - -29. Let v = u - 7. Let 0 + 2/3*h**4 + 0*h - 2/3*h**2 + 0*h**v = 0. Calculate h. -1, 0, 1 Factor -16*y**2 - 3*y**3 + y**3 + 4*y**3 + 2*y**5 - 4*y**3 + 2*y**4 + 14*y**2. 2*y**2*(y - 1)*(y + 1)**2 Let y(o) be the second derivative of 16/15*o**3 - 14*o + 0 + 32/5*o**2 + 1/15*o**4. Let y(s) = 0. What is s? -4 Let a be 198/27*18/(-2). Let x be (-10 + 4)/a*(2 + 0). Factor 4/11*t**3 - 4/11*t + x - 2/11*t**2. 2*(t - 1)*(t + 1)*(2*t - 1)/11 Suppose 8*w - 63 = 15*w. Let m be (w/(-18))/(4/18). Find f, given that 1 + 3*f + m*f**2 = 0. -2/3 Let s(k) = 2*k**2 - 22*k + 2. Let t be s(11). Factor 6*y - 2*y**2 - 8*y**2 - 11*y**t + 19*y**2. -2*y*(y - 3) Let v(s) be the second derivative of -s**7/189 - 4*s**6/135 - s**5/18 - s**4/27 + 25*s + 1. Factor v(d). -2*d**2*(d + 1)**2*(d + 2)/9 Let s(o) = o**4 + o**3 - 2*o + 1. L
{ "pile_set_name": "DM Mathematics" }
mmon divisor of z and h. 3 Let g(w) = -2 + 4 + 11*w + 2. Let p be 7 + 1*(-3 - 2). Let u be g(p). Calculate the highest common factor of u and 104. 26 Let m be 3/(3/2) - -52. Let y(f) = f**2 + 9*f - 110. Let w be y(-26). Let k = w + -326. What is the greatest common divisor of k and m? 6 Let h be 8*(-8 + (-7)/(14/(-20) + 0)). Suppose -2*y = -5*t - 119 - 80, 122 = y + 2*t. Calculate the greatest common divisor of h and y. 16 Let l = 9090 - 9039. What is the highest common factor of l and 6001? 17 Suppose -2*p = 2*p - 80. Let n be (-46)/8 - (-7)/(-28). Let k be n - 557/(-3) - (-1)/3. What is the greatest common divisor of p and k? 20 Let r = 915 + -698. Suppose 0 = -v - 4, 0 = 3*p - 5*v + 7*v - r. Calculate the greatest common factor of 50 and p. 25 Let o = -39 + 41. Let b be -26*5/(o - 12). Calculate the highest common factor of 104 and b. 13 Let x = 171 - 125. Suppose 3*i - 4*n - 88 = 0, -i - 6*n = -4*n - x. What is the highest common divisor of i and 468? 36 Let l = -28766 + 28912. Suppose -2*n - 1533 = -5*n. Calculate the greatest common factor of l and n. 73 Suppose r = 3*t + 21912, 210 = -4*t + 178. Calculate the highest common factor of 171 and r. 171 Let w be 379228608/8910 + (-5)/(75/2). Calculate the greatest common divisor of w and 26. 26 Let j = -57 + 59. Let n(g) = g**3 + g**2 - 5*g + 4. Let w be n(2). Suppose -4*y - 2*k = 2*k - 8, -w = 3*k. What is the highest common divisor of y and j? 2 Let b = -50 - -2. Let r be (15 - -6)*b/(-14). Suppose 0 = 2*h + 5*p - 67, 46 + r = 5*h - 4*p. What is the greatest common factor of h and 39? 13 Let z(v) = -2*v**3 + 15*v**2 - 5*v - 5. Let g be z(7). Let q be g - 8 - (-81)/3. What is the highest common divisor of 175 and q? 7 Let m be 56 + (16/(-4))/(-8)*-2. Suppose -3*x - m = -103. Calculate the highest common factor of x and 320. 16 Suppose -4*t = -0*t - 3360. Let s = 408527 + -408503. Calculate the highest common divisor of s and t. 24 Suppose -9*u + 4728 = 87*u - 72. Let p = 379 + -229. What is the greatest common divisor of p and u? 50 Suppose -u = -n - 10730, -3*u + 26*n - 27*n + 32214 = 0. What is the highest common factor of u and 176? 176 Suppose -265*t - 93*t = 160*t - 142968. Let g be 36/(-3)*(0 - 1). What is the greatest common divisor of g and t? 12 Let q = 6274 + -6112. Calculate the highest common divisor of 1098 and q. 18 Let q be (-157)/(7/(-35)*-5). Let f = q + 181. Calculate the highest common divisor of 88 and f. 8 Let q be ((-15)/9)/(2/(-102)). Suppose 4*v + 28 = 32. Let m be (-300)/(-18) + v/3. What is the greatest common factor of q and m? 17 Let w be 3 - (39/(-52))/(2/8). Let r be 4/w + (32/(-12) - -3). What is the highest common divisor of r and 16? 1 Let a be 4*2*(-2)/2. Let j be (-580)/a + (-1)/(-2). Let v = j - 13. Calculate the greatest common factor of v and 24. 12 Let f be (-1 + (4 + -6 - -4))*337. Let t = -329 + f. Calculate the highest common factor of t and 4. 4 Let a = -727 - -438. Let h = a - -297. What is the highest common divisor of 648 and h? 8 Suppose 55*i - 12 = 57*i. Let r be (0 + 504/35)/(i/(-20)). What is the greatest common divisor of 72 and r? 24 Suppose 396 - 406 = 5*g. Let q(k) = 4*k**2 - 16*k - 30. Let j be q(g). What is the highest common factor of 33 and j? 3 Let o(v) = 10*v + 110. Let s be o(-10). Let t = 23 + -18. Let k be 5/(10/(-6)) + t. Calculate the highest common divisor of k and s. 2 Suppose -5*y + 10 = 35. Let j be (-2 - (2 + y))*2 - -230. What is the highest common factor of j and 8? 8 Let c be 1736/84*21/(-2). Let n = 223 + c. What is the greatest common divisor of 9 and n? 3 Let l = 503 - 496. Suppose l*k - 43 = 20. Calculate the greatest common divisor of 9 and k. 9 Let j be (-2)/(-6) + (-670)/(-15). Let g(q) be the first derivative of 17*q**2/2 - 59*q - 101. Let y be g(4). What is the greatest common divisor of j and y? 9 Let i be 22*(-3 - 5)/(-4). Suppose -3*a + v = -854, 0 = -5*a - v + 1083 + 351. Calculate the highest common factor of a and i. 22 Let c(j) = -7*j + 9*j + 105 - 7*j + 0*j. Let x be c(18). What is the highest common factor of 5 and x? 5 Let f(q) = -2*q**3 + q**2 - 3*q - 2. Let v be f(-2). Let k = 162 - 315. Let g = k + 321. Calculate the greatest common divisor of g and v. 24 Let o be 184/7 + 22/(-77). Let q be ((3 + -5)/(-4))/1*o. What is the greatest common factor of 13 and q? 13 Let p = -12244 + 12256. Calculate the greatest common divisor of p and 1218. 6 Suppose 5*a - g - 238 = 0, 0 = 2*a + 3*g - 0*g - 85. Suppose 58*y = a*y + 4862. Calculate the highest common divisor of y and 65. 13 Let b(o) = -o**3 - o**2 - 6*o - 14. Let h be b(0). Let c be (h/30 + 20/(-100))*-6. Calculate the greatest common divisor of 1 and c. 1 Let v(u) = 183*u + 1047. Let h be v(-5). Calculate the highest common divisor of h and 8932. 44 Suppose -3*w - w + 356 = 4*b, 0 = 2*w + b - 181. Let p = -224 + 247. Calculate the greatest common factor of w and p. 23 Let g be 4 - -1 - 10/((-40)/12). Let u be 2 + 0*(-1)/2. Suppose -4*m = -g, u*j - 22 = -3*m + 2*m. Calculate the highest common divisor of 70 and j. 10 Let n = -259 + 267. Let h = -60 + 596. What is the greatest common divisor of h and n? 8 Let l be (5 - (2 - 2)) + (-47)/((-235)/5100). What is the highest common divisor of 50 and l? 25 Let s(f) = 739*f + 376. Let j be s(41). What is the greatest common divisor of 75 and j? 75 Let g(c) = -7*c - 64. Let p be g(-11). Suppose -16*r + p*r = -345. What is the highest common divisor of r and 15? 5 Let i be 267074/(-574) + (-4)/(-14)*1. Let f = i - -537. Calculate the greatest common divisor of 168 and f. 24 Let p(a) = 49*a - 21. Let h be p(2). Let w(g) = 19*g - 100. Let x be w(6). What is the highest common divisor of h and x? 7 Suppose 35 = 6*g + 5. Suppose 5*m = -5, -g*m - 709 = -3*d + 754. Let i be d/10 + (-33)/55. Calculate the greatest common divisor of i and 36. 12 Suppose 5*r - 35 = -3*i, -21 + 28 = -i + 3*r. Suppose -4*v - 2*d + 534 = 0, -d - 645 = -i*v + 40. What is the highest common divisor of v and 8? 8 Suppose u + 14 = 8*u. Let s(a) = -a**2 + 36 + 7*a**u - 2*a - 10*a - 5*a**2. Let w be s(15). Calculate the highest common factor of 9 and w. 9 Let w be (16 - -1076)/(2*(-6)/(-24)). What is the greatest common divisor of w and 504? 168 Let h be ((-5 - -2) + 26/6)*(110 + 4). What is the greatest common divisor of h and 1368? 152 Suppose 89*g - 15*g - 16524 = 47*g. Calculate the highest common factor of 1584 and g. 36 Suppose w - 57 = -54. Suppose -2*g = -4*k + 50, 4*k - w*g - 35 = 2*g. Calculate the greatest common divisor of 15 and k. 15 Let x(a) = 8*a - 1. Let m = -1 - -1. Let f be (1 - m)*(-2)/(-2). Let u be x(f). Calculate the highest common factor of u and 35. 7 Suppose -33*i - 54 = -35*i + 2*g, -5*i + 3*g + 129 = 0. Suppose 0 = 390*v - 389*v - i. Calculate the greatest common factor of 600 and v. 24 Let j(p) = -13*p**2 + 3*p - 3. Let l be j(2). Let o be (-56)/l*(3/6 - -3). Suppose -o*d + 150 = d. Calculate the highest common divisor of d and 90. 30 Let g be 35728/(-132) - 1/3. Let f = 284 + g. What is the highest common divisor of f and 325? 13 Suppose 13*j = 49 - 10. Let o = 10 - 10. Let k = 9 - o. What is the greatest common factor of j and k? 3 Let f be -1 + 0 - -3 - -11. Let l = -103 - -246. Calculate the greatest common divisor of l and f. 13 Let m(k) = 2*k + 51. Suppose 4*p - 8*p - 96 = 0. Let y be m(p). Let t be (y/6*-22)/(1/(-15)). Calculate the greatest common factor of 110 and t. 55 Let j be 965/(-1158) - (-2890)/12. Calculate the greatest common factor of 1060 and j. 20 Let t = -188 - -283. Let l(b) = 34*b + 3. Let c be l(2). Suppose 3*d - 4*d = 4*z - c, -5*d = -3*z + 82. Calculate the highest common divisor of z and t. 19 Let h be (1814/(-4))/(7/14). Let s be 162/810 - ((-6519)/5 + 1). Let u = s + h. Calculate the greatest common divisor of u and 36. 36 Suppose -t + 4*o = -44 + 45, o = 2*t - 33. What is the highest common factor of 1900 and t? 19 Suppose 5*o + 5*p - 295 = 0, -181*o + 3*p - 231 = -185*o. What is the highest common divisor of o and 1530? 18 Let m be (-3)/(-2) - 15/2. Let c be m/15 + 144/10. What is the greatest common divisor of c and 224? 14 Let p = 4097 + -2122. What is the greatest common factor of p and 79? 79 Let p be (0 - -44)/((-4 - -8)/(-12) + 1). What is the greatest common divisor of p and
{ "pile_set_name": "DM Mathematics" }
on multiple of 700 and 494675. 13850900 What is the lowest common multiple of 14896 and 309548? 60671408 Calculate the common denominator of 61/672 and 61/3192035. 306435360 What is the common denominator of -24/475 and -22/39522755? 197613775 Calculate the smallest common multiple of 14492 and 117148. 424427204 Calculate the common denominator of -61/17636 and -23/4347274. 8694548 Calculate the common denominator of 62/67473 and 71/129654. 6612354 What is the lowest common multiple of 448840 and 71448? 17504760 What is the common denominator of 61/1757830 and 59/14062640? 14062640 Find the common denominator of -101/2940 and 17/30086. 902580 Calculate the least common multiple of 108680 and 3083795. 24670360 Calculate the least common multiple of 28484846 and 403. 28484846 What is the common denominator of 99/50 and 21/44677925? 89355850 What is the common denominator of -179/13843590 and -37/3057480? 498369240 What is the common denominator of -143/36 and -31/16424322? 98545932 What is the least common multiple of 860 and 3297292? 708917780 Find the common denominator of -91/254 and 89/1621192. 205891384 Calculate the smallest common multiple of 103651 and 67. 6944617 What is the smallest common multiple of 288166604 and 157181784? 1728999624 What is the common denominator of -127/32249256 and -75/254432? 128997024 Calculate the least common multiple of 4939150 and 544950. 311166450 Calculate the common denominator of 173/108180 and 133/216. 649080 Find the common denominator of -21/50 and 17/591867790. 2959338950 Calculate the common denominator of -55/6069912 and 13/21. 42489384 Calculate the common denominator of -83/1417485 and -13/9638898. 48194490 What is the common denominator of -7/24174 and -46/288609? 136800666 What is the least common multiple of 6667748 and 107256? 40006488 What is the common denominator of 5/5408 and 101/251784? 13092768 What is the lowest common multiple of 214935 and 376915? 26007135 Calculate the common denominator of -5/22714 and -153/368410. 15104810 Calculate the lowest common multiple of 9385680 and 608. 356655840 Find the common denominator of -3/574525 and -115/4116. 6894300 What is the lowest common multiple of 4004 and 81402412? 895426532 Calculate the least common multiple of 10 and 21114220. 21114220 Calculate the common denominator of 61/89064 and -34/5778027. 46224216 Find the common denominator of 123/36994750 and -127/3000. 443937000 Calculate the smallest common multiple of 10 and 6235044. 31175220 What is the lowest common multiple of 208803901 and 214782? 1252823406 Calculate the smallest common multiple of 157628061 and 70056916. 630512244 Find the common denominator of 24/46576045 and -93/34. 1583585530 Calculate the lowest common multiple of 82545 and 4344. 119525160 What is the common denominator of 83/951510 and -97/24150? 4757550 Calculate the common denominator of 79/18 and 53/19740. 59220 What is the common denominator of 61/58776 and -157/29388? 58776 Find the common denominator of -151/1752 and -103/76152. 5559096 Calculate the lowest common multiple of 2652 and 232305. 12079860 What is the common denominator of -125/172068 and -59/1778036? 5334108 What is the least common multiple of 398199 and 1711? 23493741 Calculate the common denominator of 123/160 and 65/4577072. 45770720 Calculate the lowest common multiple of 26394 and 2. 26394 Calculate the common denominator of -25/22 and -17/39382. 433202 Find the common denominator of -31/3042 and -115/2808. 36504 Find the common denominator of -49/4847450 and -41/180. 87254100 Calculate the least common multiple of 68207811 and 77. 750285921 What is the least common multiple of 3900 and 414144? 134596800 Calculate the lowest common multiple of 120 and 12920. 38760 What is the least common multiple of 24528 and 193872? 14152656 What is the smallest common multiple of 1347804 and 5220? 6739020 Find the common denominator of -143/610080 and 79/109712720. 658276320 What is the smallest common multiple of 2787191690 and 10? 2787191690 Find the common denominator of 37/202176 and 35/3744. 202176 Find the common denominator of -117/59114720 and 109/2216802. 177344160 What is the least common multiple of 3906 and 182124? 39520908 Calculate the common denominator of -103/28224010 and 41/2. 28224010 Calculate the lowest common multiple of 3699951 and 3699951. 3699951 Find the common denominator of 79/2511810 and -17/6658290. 419472270 Calculate the least common multiple of 158497614 and 1404546. 2060468982 Calculate the common denominator of -55/97026 and -41/8780853. 17561706 Find the common denominator of 1/78 and -131/2503722. 2503722 Calculate the smallest common multiple of 22732430 and 1295. 22732430 What is the common denominator of -55/218679 and -131/2186790? 2186790 Find the common denominator of -20/915201 and -43/1118579. 10067211 Calculate the smallest common multiple of 41917104 and 2040. 209585520 What is the common denominator of 43/159495 and -109/13124160? 91869120 What is the lowest common multiple of 628860 and 420? 4402020 Find the common denominator of -39/368988515 and -59/3. 1106965545 Calculate the common denominator of -47/35313590 and 1/986. 35313590 What is the least common multiple of 261 and 14182595? 127643355 What is the lowest common multiple of 13697376 and 3138982? 150671136 Calculate the common denominator of 28/1875 and 39/1729375. 5188125 What is the least common multiple of 166 and 10506? 871998 What is the common denominator of 115/104388 and -63/382756? 1148268 Find the common denominator of -131/30 and 8/141150575. 846903450 Calculate the smallest common multiple of 296525 and 80573. 58415425 Calculate the common denominator of -21/12193315 and -64/8865. 109739835 What is the smallest common multiple of 2700 and 205875? 823500 Calculate the least common multiple of 503584755 and 12. 2014339020 What is the smallest common multiple of 14840380 and 38672? 59361520 What is the least common multiple of 105515572 and 12? 316546716 Calculate the least common multiple of 526388 and 284. 37373548 Find the common denominator of -101/103056390 and 51/125957810. 1133620290 Calculate the lowest common multiple of 11701881 and 3747. 11701881 Calculate the least common multiple of 24 and 33004664. 99013992 Calculate the lowest common multiple of 13 and 357212. 4643756 Find the common denominator of -149/1115478 and -73/2295. 94815630 Calculate the least common multiple of 36 and 57818316. 173454948 Find the common denominator of -33/181064 and -185/950586. 3802344 What is the lowest common multiple of 2389176 and 66366? 2389176 Find the common denominator of -47/413030 and 29/18. 3717270 What is the least common multiple of 320 and 41555440? 166221760 What is the least common multiple of 40996 and 335724? 12421788 Calculate the lowest common multiple of 588518 and 28448. 9416288 What is the common denominator of -1/25648362 and -4/7139? 3103451802 Calculate the least common multiple of 47420 and 317714. 3177140 Calculate the common denominator of 52/10680939 and -21/9494168. 85447512 Calculate the least common multiple of 2973618 and 9912060. 29736180 What is the common denominator of -67/15065 and 46/23145? 69735885 Calculate the common denominator of -7/39 and 34/899841. 11697933 What is the smallest common multiple of 1624917 and 8106? 627217962 What is the smallest common multiple of 40250 and 116025? 26685750 Calculate the lowest common multiple of 6816 and 4028. 6863712 What is the common denominator of 113/4197946 and 59/2222442? 37781514 What is the common denominator of -115/302976 and 47/100992? 302976 Calculate the lowest common multiple of 1701795 and 1815. 205917195 What is the least common multiple of 7915268 and 16242? 23745804 What is the smallest common multiple of 14782950 and 11615175? 162612450 Calculate the least common multiple of 403 and 131679665. 4082069615 Calculate the smallest common multiple of 29090440 and 60. 87271320 Calculate the lowest common multiple of 3101904 and 39. 3101904 What is the common denominator of -61/21986 and 65/822? 9036246 Find the common denominator of -15/1504864 and -79/6696. 40631328 Calculate the common denominator of -197/1693770 and -47/338754. 1693770 What
{ "pile_set_name": "DM Mathematics" }
13/2 a What is the fifth smallest value in 1, -1/3, 0.5, -111, -11, 14/3? 1 Which is the seventh smallest value? (a) -4 (b) -1/11 (c) 0.17 (d) -1/3 (e) 12 (f) 2 (g) 1.2 e What is the smallest value in 1.4, 4/3, 8, -2/417? -2/417 What is the second biggest value in -13, -0.0097324, -1/6, -0.13? -0.13 Which is the sixth smallest value? (a) 0 (b) 1 (c) -1 (d) -51 (e) -3 (f) -0.5 (g) 161 b Which is the biggest value? (a) 0.3 (b) 2/380719 (c) -3 a Which is the biggest value? (a) -3.7 (b) -31/68 (c) -10/3 b Which is the third biggest value? (a) 0.011 (b) 0.4 (c) 392 (d) 1/794 a What is the second biggest value in -2, -69/43, 3/7, -2/15, 5, 0.68? 0.68 What is the third biggest value in -1/3, -15894/2279, -0.5? -15894/2279 What is the fourth biggest value in -2/77, 3/437, 0.3, -102/77? -102/77 Which is the fifth smallest value? (a) -2 (b) -13 (c) -1 (d) -1/6 (e) 12346 (f) -2/3 (g) 0.2 d Which is the sixth biggest value? (a) -3/5 (b) -1/2 (c) 4109 (d) 3 (e) -1/5 (f) -3/8 (g) 0.3 b What is the third biggest value in -2/13, 2658962, 0.1? -2/13 What is the fourth biggest value in -2, 13.9, 5, 40, 17, -3? 5 Which is the second biggest value? (a) -2.5 (b) 1 (c) -12 (d) 209 (e) -5 b What is the second smallest value in 5/3, -2, -103, 196, 3/7? -2 What is the smallest value in -61, -0.6, -1/6, -3428? -3428 What is the third biggest value in 143, -2/3, -5, 2/17, 0.5, -366? 2/17 What is the fourth biggest value in 3, 72, 2/41, 296, 0.5? 0.5 What is the third smallest value in 0.05, 0.4, -4/9713, -17/6? 0.05 What is the second biggest value in 13, 60491, 0.3, 0? 13 Which is the sixth smallest value? (a) -379 (b) 2/19 (c) -1/2 (d) 5 (e) -5/6 (f) 303 f Which is the fourth smallest value? (a) -4 (b) 1 (c) 7 (d) 0.2 (e) -64010 b Which is the fourth smallest value? (a) 1/139 (b) -23/4 (c) -0.06 (d) 4 (e) -0.026 a Which is the second biggest value? (a) -2 (b) 3/5 (c) 1/3 (d) 638 (e) -3.7 (f) -3 (g) 0.1 b What is the third biggest value in 8/109, -27001, 0.07? -27001 What is the fifth smallest value in -109, -279, 0.3, -9/5, 2/17, 3/7, -0.5? 2/17 What is the smallest value in 3/8, 2, 10.7, -1, 60? -1 Which is the fifth biggest value? (a) -6/13 (b) 0.2 (c) -154 (d) -0.1 (e) 2/15 c Which is the third smallest value? (a) -13 (b) 45 (c) -2/16625 b Which is the seventh smallest value? (a) 0.5 (b) -37.7 (c) 2/13 (d) 8 (e) -4 (f) -15.9 (g) -1/2 d Which is the second biggest value? (a) -0.103 (b) -3/64187 (c) -4 a Which is the second biggest value? (a) -805 (b) -149 (c) 4/3 b Which is the fifth biggest value? (a) 130 (b) -2/9 (c) -0.4 (d) 0.2 (e) 5 (f) -2 c What is the fourth biggest value in 5, 0, 2, 83, 1/9, -0.101? 1/9 Which is the third biggest value? (a) -2/7 (b) 0 (c) 16 (d) 4/5 (e) -123 (f) 0.3 (g) -3 f What is the third smallest value in -5326, 4, -7, -1/6, -0.2, 7? -0.2 Which is the third smallest value? (a) -1/5 (b) 1 (c) -1068 (d) 0.2 (e) -2/13 (f) -3/104 e Which is the third smallest value? (a) 0 (b) -563 (c) -10 (d) -2/19 (e) 245 (f) -0.5 f What is the second biggest value in 22000/1361, -0.3, 3? 3 Which is the smallest value? (a) 5 (b) 62 (c) -2/6247 (d) 0.6 c Which is the sixth smallest value? (a) 0.3 (b) 3/79 (c) -53 (d) -2/7 (e) 1 (f) 4 (g) 2/3 e What is the fourth smallest value in -2/5, 2/15, -2, 7/5, 4, 19.7? 7/5 Which is the second biggest value? (a) 5328 (b) 0.2 (c) -30/17 (d) -4/3 b Which is the second smallest value? (a) 5 (b) -57 (c) -88/29 (d) 1.36 (e) -1/2 c Which is the fifth smallest value? (a) -1 (b) -7 (c) -1/3 (d) -14 (e) -4 (f) -12 a What is the smallest value in -276/19, 747/20, -4? -276/19 What is the sixth biggest value in 0.05, 7/4, 1/4, 0.3, -0.2, 0.2, 4? 0.05 What is the second smallest value in 2/9, 1, -3, 168914, 0.1, 4? 0.1 What is the sixth biggest value in -12.31, 3, -0.3, 1, -0.001, 4? -12.31 What is the second smallest value in -467, 4, -3, -0.4, -15/11, 2/13, -1/6? -3 What is the biggest value in 7, 120447, -1/22? 120447 Which is the biggest value? (a) 710 (b) -62.3 (c) 5 (d) -29 a Which is the second biggest value? (a) 1/4 (b) -0.7016 (c) -4/25 c What is the biggest value in -186, 0.4, -13, -270? 0.4 Which is the biggest value? (a) -2 (b) 227 (c) 4059 (d) -11 c Which is the fourth smallest value? (a) 6 (b) -7 (c) 21 (d) 28/9 (e) -1/2 (f) 1/2 d What is the second smallest value in 437/2, -5, -13? -5 What is the fourth biggest value in 6.47, 1/3, 79/5, -5/2, -7, -0.4? -0.4 What is the fourth smallest value in -195/31, 0.5, -1/3, 5, -4, 0.4? 0.4 What is the biggest value in -0.2, 4.8, 297498? 297498 Which is the second biggest value? (a) -0.2 (b) -4 (c) 728 (d) -5 (e) 0.13 (f) -32 e What is the smallest value in 18, -0.012, 53? -0.012 What is the fifth biggest value in 1/3, 35, -3, -20, 0.032? -20 What is the sixth biggest value in 1, 4, -681, 2/7, -8, 1/5, -1? -8 Which is the third smallest value? (a) -1/5 (b) 471511 (c) 4 b Which is the fourth biggest value? (a) 0.5 (b) -53 (c) 0.1 (d) -265 (e) -10 (f) -0.5 (g) 22 f What is the second smallest value in 2, -0.1, 0, 2/39853? 0 What is the second smallest value in 2/2015, -1, -1.351, -3/7, 0.3? -1 What is the third biggest value in -1, 4, 1, -5, -0.01, -129/44, 0.03? 0.03 What is the smallest value in 5, 0.1, -35913.7, 0.4? -35913.7 Which is the fourth biggest value? (a) 6 (b) -2/9 (c) 0.0405 (d) -4/5 (e) -0.4 (f) 5 b What is the smallest value in -33, 28, -3, -1/3, 94? -33 What is the third smallest value in -139, -4/7, -2/19, 1/4, 0.6, -31? -4/7 Which is the third biggest value? (a) 2 (b) 29 (c) 7 (d) -1817 a What is the smallest value in -76, -1, 3, 3.985? -76 Which is the fifth biggest value? (a) -0.119 (b) 0 (c) 4 (d) -2 (e) 4/7 (f) 1/11 (g) -6 a What is the third smallest value in 206544, 0, -3, 0.044? 0.044 What is the third biggest value in -177, 22, 38052/11? -177 What is the second biggest value in -3/5, -0.1, 3881637? -0.1 Which is the second smallest value? (a) 0.2 (b) -3 (c) 2145939 (d) -0.1 d Which is the second biggest value? (a) 5 (b) 0.02 (c) 97222 a What is the fourth biggest value in 0.8, 4, -5, 41918, -1/3? -1/3 Which is the second smallest value? (a) -1.37 (b) 11 (c) -0.15727 c Which is the fourth smallest value? (a) -3.05 (b) -1/11 (c) -2 (d) -0.0218 (e) 4 d Which is the third smallest value? (a) 43 (b) -4 (c) -0.3 (d) 10 (e) -476 c What is the third biggest value in -786, 0.5, 5.14? -786 Which is the sixth smallest value? (a) 0.1 (b) -0.8 (c) -25 (d) 0.6 (e) -756 (f) 2 f Which is the third biggest value? (a) -2 (b) 210.6 (c) -5 (d) 211 a Which is the second biggest value? (a) 195 (b) 18 (c) -4 (d) -0.3 (e) -2 (f) 0.2 (g) -2/5 b Which is the second smallest value? (a) -2 (b) -1/2 (c) 8 (d) 111 (e) -11141 a Which is the second biggest value? (a) 59 (b) -2761 (c) -7 (d) -1/33 d Which is the smallest value? (a) -2/11 (b) -17 (c) 44 (d) -64631 d What is the third smallest value in -5, 1/3, -91, -1/3, 2, -4, 3? -4 What is the second smallest value in 65, -1, -0.3, -3, -118, -4? -4 What is the third biggest value in 578/7, 0.093, -694, 0.5? 0.093 What is the second biggest value in -0.2, -8, -4, 5, 2/139, -105? 2/139 Which is the smallest value? (a) 1737.478 (b) -1/3 (c) 266 b Which is the smallest value? (a) -1441 (b) -74/7 (c) 2/15 a What is the second smallest value in 0, 8/589, 0.1, 1/6, 1/9? 8/589 Which is the second smallest value? (a) -5 (b) -0.5747 (c) -156.1 a What is the smallest value in 0.5, 1/210, 2/7, 2/3, 60/71? 1/210 What is the third smallest value in 2/3003, 0.1, 2/29? 0.1 Which is the second biggest value? (a) -0.4 (b) 2930 (c) 0.4 (d) -2 (e) -192 c Which is the fourth smallest value? (a) -2 (b) -2/631 (c) -5023.8 (d) -3 b What is the third biggest value in -1/2, 5, 1628778? -1/2 Which is the third biggest value? (a) -2/3 (b) 1002166 (c) 2 (d) -6 a What is the smallest value in -35138, -0.7, 13? -35138 What is the second biggest value in -0.2, 2/13, -3/5, -0.1, -102, 3, 43/6? 3 Which is the third biggest value? (a) 2/4263 (b) 0 (c) -1.77 (d) 0.06 b Which is the second biggest value?
{ "pile_set_name": "DM Mathematics" }
e -59 + 3*y**2 + 32*y - 29 + 8*y + 34 + 11*y = 0 for y. -18, 1 Factor 94*x + 32 + 39*x + 92*x - 79*x + 46*x + 46*x**2. 2*(x + 4)*(23*x + 4) Let x be 0/((-12)/(-6)*-1) + 5/165. Let f(u) be the second derivative of x*u**4 + 0*u**6 + 0 + 1/231*u**7 + u + 0*u**3 + 0*u**2 - 3/110*u**5. Factor f(l). 2*l**2*(l - 1)**2*(l + 2)/11 Let c = -3/3275 + 32759/9825. Let n(z) be the second derivative of 0 + 22*z + c*z**3 - 25*z**2 - 1/6*z**4. What is b in n(b) = 0? 5 Let x = 7157/17880 + -1/3576. Let g(c) be the second derivative of 1/50*c**5 + 1/10*c**4 - 1/75*c**6 - x*c**2 - 13*c + 0 - 1/15*c**3. Let g(v) = 0. What is v? -1, 1, 2 Suppose -3*p = c - 1534, -5*p - 5*c = -6*c - 2562. What is o in 512*o**2 + 22*o - 21*o - p*o**2 - o**3 = 0? -1, 0, 1 Let x(p) = 3*p + 79. Let u be x(0). Suppose -4 + u = 3*b. Factor b*h**3 - 23*h**3 + 9*h**2 + h**2 + 8*h. 2*h*(h + 1)*(h + 4) Let c(t) be the third derivative of 1 + 0*t**3 - 1/945*t**7 + 1/135*t**6 + 0*t + 2/135*t**5 - 4/27*t**4 + t**2. What is x in c(x) = 0? -2, 0, 2, 4 Let h = -198 - -122. Let f = 78 + h. Factor -6*w + 12*w**f - 9*w**2 - 9*w + 9 + 9. 3*(w - 3)*(w - 2) Suppose -34*g - 52*g + 161 = -97. Find c such that -27/5*c**g + 19/5*c**2 + 8/5*c**4 + 4/5*c**5 - 4/5*c + 0 = 0. -4, 0, 1/2, 1 Let s(q) be the first derivative of -q**4/10 + 26*q**3/15 - 36*q**2/5 - 1328. Find m, given that s(m) = 0. 0, 4, 9 Suppose -48 = -177*j - 48. Let i(o) be the third derivative of 0*o**4 + 0*o**3 - 1/45*o**6 + j*o - 2/315*o**7 + 12*o**2 - 1/45*o**5 + 0. Factor i(u). -4*u**2*(u + 1)**2/3 Suppose -5*v - w = 665, 3*w - 404 - 241 = 5*v. Let a be (-99)/v*(-2)/12*-2. Factor 0*r + 0 - a*r**3 + 1/4*r**2. -r**2*(r - 1)/4 Let h(o) be the first derivative of -1/26*o**4 + 2/13*o**3 + 0*o - 29 - 2/13*o**2. Factor h(w). -2*w*(w - 2)*(w - 1)/13 Let n(g) = 8*g**3 - 111*g**2 + 1534*g - 4262. Let r(v) = -39*v**3 + 558*v**2 - 7671*v + 21324. Let s(u) = 24*n(u) + 5*r(u). Solve s(z) = 0. 4, 19 Let i(z) be the third derivative of -1/30*z**5 + 3*z**3 - 2/3*z**4 + 0 + 39*z**2 + 0*z. Factor i(w). -2*(w - 1)*(w + 9) Let a = 142 + -139. Factor -3 - 23*x**2 + 26*x**2 + 42*x + a. 3*x*(x + 14) Let q(h) be the third derivative of h**8/3360 - h**7/210 + h**6/40 - h**5/15 - 55*h**4/12 - 107*h**2. Let k(r) be the second derivative of q(r). Factor k(t). 2*(t - 4)*(t - 1)**2 Suppose -4*s + 624 = q, -2*s = 5*q - s - 3215. Suppose -8*i + 12*i - q = 0. Suppose -5*x**4 + 6*x**2 + 2*x**4 + i*x**3 - 158*x**3 = 0. What is x? -1, 0, 2 Suppose 1209*v - 1200*v = 0. Let c(r) be the third derivative of v*r**4 + 0*r + 13*r**2 + 0 + 1/120*r**5 + 0*r**3. Factor c(f). f**2/2 Let b(g) be the second derivative of -g**4/48 + 7*g**3/8 + 11*g**2/4 - 760*g. Factor b(k). -(k - 22)*(k + 1)/4 Let w be (-14 - (555/60 + -24))*4/24*32. Find i such that 16/5 + 88/5*i**5 - 12*i**w + 356/5*i**2 - 144/5*i - 256/5*i**3 = 0. -2, 2/11, 1/2, 1 Let i be (5/5)/((-11)/(-44)). What is s in 0*s - 4*s + 3*s**3 + 3863*s**4 - s**5 - 4*s**2 - 3861*s**i = 0? -1, 0, 2 Let t(d) be the second derivative of d**6/6 - 25*d**5/4 + 1085*d**4/12 - 1245*d**3/2 + 2025*d**2 + 269*d. Suppose t(a) = 0. Calculate a. 2, 5, 9 Suppose 3*m = -190 + 205. Let a be (-56)/(-8) + -9 + -1 + m. Determine v, given that v**2 + a + 27/5*v = 0. -5, -2/5 Let v(h) = -h**2 - 63*h + 271. Let f be v(4). Let w(t) be the second derivative of 2/3*t**f + 0 + 0*t**2 + 1/3*t**4 - 21*t. Factor w(i). 4*i*(i + 1) Solve -1089/8 + 3/8*c**2 + 177/4*c = 0. -121, 3 Let y be 0/(2/(-2)*-2 + -1). Let b(s) be the second derivative of -12*s**2 + 0*s**4 + y + 14/3*s**3 - 1/5*s**5 + 7*s. Factor b(p). -4*(p - 2)*(p - 1)*(p + 3) Let c be 3*(-7)/(-21) + 142 + 1. Let m = 147 - c. Solve -8/3*r**2 - 2/3*r**5 - 10/3*r**4 + 0 + 0*r - 16/3*r**m = 0 for r. -2, -1, 0 Let c(t) be the first derivative of -14*t**3/15 + 278*t**2/5 + 32*t + 995. Factor c(v). -2*(v - 40)*(7*v + 2)/5 Factor -738*r - 175 + 1622*r - 746*r - 113 + 0*r**3 + 3*r**3 + 147*r**2. 3*(r - 1)*(r + 2)*(r + 48) Let j(p) be the third derivative of -p**8/1008 - p**7/315 + 11*p**6/90 + 13*p**5/10 + 45*p**4/8 + 12*p**3 - 3194*p**2. Determine a, given that j(a) = 0. -3, -1, 8 Let w(f) be the third derivative of f**7/525 + 601*f**6/900 - 403*f**5/450 - 67*f**4/60 - 46*f**2. Let w(t) = 0. Calculate t. -201, -1/3, 0, 1 Let v(t) be the second derivative of t**6/150 - 2*t**5/5 + 18*t**4/5 - 208*t**3/15 + 136*t**2/5 - 641*t. Let v(d) = 0. Calculate d. 2, 34 Let l(j) be the first derivative of 8*j**4 - 1872*j**3 - 1407*j**2 - 352*j - 1619. What is f in l(f) = 0? -1/4, 176 Let v(c) be the first derivative of -c**5/4 + 65*c**4/12 - 40*c**3 + 90*c**2 - 55*c + 12. Let r(w) be the first derivative of v(w). Factor r(f). -5*(f - 6)**2*(f - 1) Suppose -25*f + 113*f = 0. Let l(s) be the third derivative of -1/75*s**6 - 1/30*s**5 - 1/60*s**4 + f*s + 0 + 0*s**3 + 15*s**2. Let l(p) = 0. Calculate p. -1, -1/4, 0 Suppose -3/5*j**4 - 159057/5*j**2 - 51520536/5 + 7638219/5*j + 237*j**3 = 0. Calculate j. 8, 129 Let l(c) be the second derivative of c**4/3 - 112*c**3/3 - 1024*c**2 + 2295*c - 1. Factor l(q). 4*(q - 64)*(q + 8) Let h be 486/(-1701)*((-117)/6 + 2). Factor -8/9*z**2 + 0 - 2/3*z**3 + 8/9*z + 4/9*z**4 + 2/9*z**h. 2*z*(z - 1)**2*(z + 2)**2/9 Let d be (588/210)/(4/10) - -2. Let v(u) be the second derivative of 1/48*u**4 - d*u + 2*u**2 + 0 - 1/3*u**3. Find a such that v(a) = 0. 4 Let y(c) = c**2 - 92*c + 273. Let z(k) = k**2 - 182*k + 548. Suppose -3*m = 15, -l - l + 8 = -4*m. Let r(d) = l*z(d) + 11*y(d). Factor r(f). 5*(f - 3)*(f + 19) Let f be (1/4)/(0 - 4/(-6416)). Let t = 403 - f. Determine q so that -t*q**3 + 6/7*q + 6/7*q**2 + 6/7*q**4 - 4/7 = 0. -2/3, 1 Let b(z) = -7*z**2 - 228*z + 154. Let w(n) = n**2 + 26*n - 1. Let a(c) = -b(c) - 6*w(c). Factor a(g). (g - 2)*(g + 74) Let z(n) be the third derivative of 1/12*n**4 + 4/7*n**3 + 1/210*n**5 + 0 - 14*n**2 + 6*n. Find g, given that z(g) = 0. -4, -3 Let m be (171/5)/((-43281)/(-20610)). Factor -m*l**2 + 114/7 + 6/7*l**3 - 6/7*l. 6*(l - 19)*(l - 1)*(l + 1)/7 Let r(m) be the first derivative of -2/3*m**2 + 20*m + 4/9*m**3 + 15 - 1/9*m**4. Let j(q) be the first derivative of r(q). Factor j(l). -4*(l - 1)**2/3 Factor -4125 - 350*u - 135*u**2 - 3*u**3 + 337*u + 3*u**3 + 3*u**3 - 1562*u. 3*(u - 55)*(u + 5)**2 Let v = -10555 + 10557. Let y(i) be the third derivative of 1/6*i**4 + 0*i - 33*i**v + 1/60*i**6 + 0 + 0*i**3 + 9/50*i**5. Find j, given that y(j) = 0. -5, -2/5, 0 Let h = -89756 - -89761. Factor -1/3*y**4 + 2/3*y + 0 + 1/3*y**h + 1/3*y**2 - y**3. y*(y - 2)*(y - 1)*(y + 1)**2/3 Let v(t) be the second derivative of -4*t - 17/48*t**4 - 1/160*t**5 - 20 - 289/48*t**3 + 0*t**2. Factor v(w). -w*(w + 17)**2/8 Let w(h) be the first derivative of h**4/12 + 2*h**3/9 - 765*h**2/2 + 13608*h + 6126. Factor w(n). (n - 27)**2*(n + 56)/3 Let x be 0/1 - (651/(-63))/(-31)*(-132)/143. Factor -x*y**3 + 18/13*y**5 - 24/13*y**4 + 8/13*y**2 + 0 + 2/13*y. 2*y*(y - 1)**2*(3*y + 1)**2/13 Suppose -5*l - 141 + 151 = 0. Determine z so that -2*z - 2 + 2*z**l - 2*z + 0*z - 2*z + 6*z**3 = 0. -1, -1/3, 1 Factor -47432*a - 2/3*a**3 - 7304528/3 - 308*a**2. -2*(a + 154)**3/3 Suppose -241 = -4*q + 35. Let u = -46 + q. Factor -9 - 2*x - 9*x - 2*x**2 + u*x - 9. -2*(x - 3)**2 Let g = 217 + 366. Let b = 588 - g. Let 24/7*x**4 + 0*x + 4/7*x**2 + 18/7*x**3 + 0 + 10/7*x**b = 0. What is x? -1, -2/5, 0 Let h(z) be the first derivative of -4*z**3/3 - 258*z**2 + 520*z - 250. Suppose h(n) = 0. Calculate n. -130, 1 Let v(l) be the third derivative of l**5/3 + 5*l**4/3 + 25*l**3/6 - 55*l**2. Let i(t) = -17*t**2 - 39*t - 26. Let u(c) = 5*i(c) + 4*v(c). Factor u(o). -5*(o + 1)*(o + 6) Suppose 3*z + 12 = -3*b, -28*z - 5*b = -25*z + 10. Let w be (3/z)/(9/(-75)) - 1. Find t such that 88/5*t - 24/5 + 18/5*t**w - 94/5*t**2 + 12/5*t**3 = 0. -3, 2/3, 1 Let d(u) be the first derivative of 25*u**8/168 - 2*u**7/3 + 11*u**6/15 - 4*u**5/15 + 59*u**2/2 - 64. Let n(m) be the second derivative of d(m). Factor n(z). 2*z**2*(z - 2)*(5*z - 2)**2 Let p(l) be the third derivative of l**5/10 + 23*l**4/8 + 65*l**3/2 + 2*l**2 + 33*l. Factor p(k). 3*(k + 5)*(2*k + 13) Suppose 12 = m + 4*b, -4*m - 4*b + 3 = -9. Let t(o) be the second derivative of -1/40*o**5 - 1/12*o**4 + 0*o**2 - 1/12*o**3 + m + o. What is h in t(h) = 0? -1, 0 Suppose a + 6*a = 5*a. Let
{ "pile_set_name": "DM Mathematics" }
+ 286973093 What is the s'th term of 117309, 119191, 121073, 122955, 124837, 126719? 1882*s + 115427 What is the d'th term of -309118, -617953, -926784, -1235611, -1544434, -1853253? 2*d**2 - 308841*d - 279 What is the g'th term of 1831776, 1831777, 1831774, 1831761, 1831732? -g**3 + 4*g**2 - 4*g + 1831777 What is the q'th term of -4788, -9843, -15176, -20793, -26700, -32903, -39408, -46221? -q**3 - 133*q**2 - 4649*q - 5 What is the m'th term of 12008, 42421, 93108, 164069, 255304? 10137*m**2 + 2*m + 1869 What is the f'th term of 943, 5493, 16017, 34921, 64611, 107493, 165973, 242457? 401*f**3 + 581*f**2 - 39 What is the z'th term of 617083, 1234425, 1851755, 2469067, 3086355, 3703613? -z**3 + 617349*z - 265 What is the o'th term of 12569, 12510, 12451? -59*o + 12628 What is the m'th term of -18756, -18397, -17404, -15453, -12220, -7381, -612, 8411? 54*m**3 - 7*m**2 + 2*m - 18805 What is the h'th term of 2598, 2036, 526, -2400, -7210, -14372, -24354? -78*h**3 - 6*h**2 + 2*h + 2680 What is the l'th term of -46173990, -46173979, -46173968? 11*l - 46174001 What is the y'th term of 942, 1623, 2076, 2301, 2298? -114*y**2 + 1023*y + 33 What is the m'th term of -45732, -45869, -46006, -46143, -46280? -137*m - 45595 What is the o'th term of 232470, 232475, 232476, 232473? -2*o**2 + 11*o + 232461 What is the i'th term of 25184973, 50369941, 75554909, 100739877? 25184968*i + 5 What is the c'th term of 55708, 111052, 166382, 221692, 276976, 332228? -c**3 - c**2 + 55354*c + 356 What is the r'th term of 49, -515, -1535, -3239, -5855? -38*r**3 - 298*r + 385 What is the s'th term of 852, 325, -236, -849, -1532, -2303? -3*s**3 + s**2 - 509*s + 1363 What is the s'th term of -1969921, -1969925, -1969941, -1969975, -1970033, -1970121, -1970245, -1970411? -s**3 + 3*s - 1969923 What is the w'th term of -1071, -1348, -833, 474? 396*w**2 - 1465*w - 2 What is the x'th term of -47818, -48134, -48450, -48766? -316*x - 47502 What is the k'th term of -101011, -202029, -303081, -404185, -505359, -606621, -707989? -3*k**3 + k**2 - 101000*k - 9 What is the h'th term of 16490801, 16490854, 16490941, 16491062? 17*h**2 + 2*h + 16490782 What is the o'th term of -67002695, -134005388, -201008081? -67002693*o - 2 What is the z'th term of 1140, 2318, 3898, 5874, 8240, 10990? -z**3 + 207*z**2 + 564*z + 370 What is the d'th term of 3445635, 3445636, 3445639, 3445644, 3445651, 3445660, 3445671? d**2 - 2*d + 3445636 What is the k'th term of -110666, -110652, -110638, -110624, -110610? 14*k - 110680 What is the s'th term of -5114, -10167, -15158, -20069, -24882? 3*s**3 + 13*s**2 - 5113*s - 17 What is the y'th term of 88004, 88026, 88086, 88202, 88392? 3*y**3 + y**2 - 2*y + 88002 What is the k'th term of -22290091, -44580215, -66870339? -22290124*k + 33 What is the w'th term of 87890, 351631, 791302, 1406987, 2198770, 3166735, 4310966? 14*w**3 + 87881*w**2 - 5 What is the m'th term of -2668, -2585, -2504, -2425? -m**2 + 86*m - 2753 What is the s'th term of -784, -2848, -6288, -11104, -17296, -24864? -688*s**2 - 96 What is the a'th term of 75311759, 75311753, 75311743, 75311729, 75311711, 75311689, 75311663? -2*a**2 + 75311761 What is the s'th term of -196, 6669, 13534? 6865*s - 7061 What is the m'th term of 286, 99, -182, -557, -1026, -1589, -2246? -47*m**2 - 46*m + 379 What is the r'th term of -2400837, -2400847, -2400857, -2400867, -2400877? -10*r - 2400827 What is the j'th term of -268406, -268996, -269970, -271322, -273046, -275136, -277586? j**3 - 198*j**2 - 3*j - 268206 What is the l'th term of -3488, -13935, -31318, -55619, -86820? 3*l**3 - 3486*l**2 - 10*l + 5 What is the x'th term of 127303649, 127303648, 127303647, 127303646? -x + 127303650 What is the n'th term of -2703, -3305, -3915, -4533, -5159? -4*n**2 - 590*n - 2109 What is the v'th term of -504604, -504643, -504682? -39*v - 504565 What is the l'th term of -5774431, -5774436, -5774441, -5774446, -5774451, -5774456? -5*l - 5774426 What is the h'th term of -1266058, -2532118, -3798178, -5064238, -6330298, -7596358? -1266060*h + 2 What is the h'th term of -13161, -22073, -26739, -27159, -23333, -15261, -2943? 2123*h**2 - 15281*h - 3 What is the w'th term of -220644, -441352, -662140, -883008, -1103956, -1324984? -40*w**2 - 220588*w - 16 What is the b'th term of 34812, 69625, 104364, 138993, 173476, 207777? -6*b**3 - b**2 + 34858*b - 39 What is the b'th term of -69097, -138344, -207725, -277240, -346889? -67*b**2 - 69046*b + 16 What is the q'th term of -133, -955, -2363, -4387, -7057, -10403, -14455? -5*q**3 - 263*q**2 + 2*q + 133 What is the g'th term of -32304, -64476, -96512, -128412? 68*g**2 - 32376*g + 4 What is the d'th term of 9329291, 18658561, 27987827, 37317089, 46646347, 55975601, 65304851? -2*d**2 + 9329276*d + 17 What is the u'th term of -5343, -9945, -14547, -19149, -23751, -28353? -4602*u - 741 What is the w'th term of -14528350, -29056703, -43585056, -58113409? -14528353*w + 3 What is the s'th term of 7116, 28464, 64046, 113856, 177888, 256136, 348594, 455256? -s**3 + 7123*s**2 - 14*s + 8 What is the z'th term of 1434, 4464, 9092, 15318, 23142, 32564? 799*z**2 + 633*z + 2 What is the n'th term of 1515, 5382, 11821, 20832? 1286*n**2 + 9*n + 220 What is the v'th term of 942, 760, 586, 414, 238, 52, -150? -v**3 + 10*v**2 - 205*v + 1138 What is the u'th term of 5968, 21967, 48632, 85963? 5333*u**2 + 635 What is the q'th term of -10395, -10579, -10757, -10929, -11095? 3*q**2 - 193*q - 10205 What is the l'th term of -20869926, -41739850, -62609774, -83479698, -104349622, -125219546? -20869924*l - 2 What is the u'th term of -547304, -1094607, -1641914, -2189225, -2736540, -3283859? -2*u**2 - 547297*u - 5 What is the x'th term of -1225944, -1225944, -1225942, -1225938, -1225932, -1225924, -1225914? x**2 - 3*x - 1225942 What is the h'th term of -3820, -5799, -4084, 3173, 17820? 308*h**3 - h**2 - 4132*h + 5 What is the g'th term of 281038, 562173, 843308? 281135*g - 97 What is the y'th term of -4053, -3872, -3765, -3768, -3917, -4248, -4797? -6*y**3 - y**2 + 226*y - 4272 What is the s'th term of -164728800, -164728841, -164728894, -164728965, -164729060? -s**3 - 34*s - 164728765 What is the u'th term of 28573, 228830, 772405, 1830964, 3576173? 28611*u**3 - 7*u**2 + u - 32 What is the l'th term of -3476754, -13907004, -31290750, -55627992? -3476748*l**2 - 6*l What is the t'th term of 237, 908, 2433, 5238, 9749, 16392, 25593? 71*t**3 + t**2 + 171*t - 6 What is the a'th term of 866, 692, 374, -112, -790? -4*a**3 - 48*a**2 - 2*a + 920 What is the s'th term of 67399, 134369, 200487, 265327, 328463? -71*s**3 + 67467*s + 3 What is the p'th term of 44260, 48231, 52202, 56173, 60144, 64115? 3971*p + 40289 What is the p'th term of -58459, -58781, -59645, -61321, -64079, -68189, -73921, -81545? -45*p**3 - p**2 - 4*p - 58409 What is the i'th term of 24662, 31985, 39308, 46631, 53954, 61277? 7323*i + 17339 What is the j'th term of -2737, -3971, -6031, -8917, -12629, -17167, -22531? -413*j**2 + 5*j - 2329 What is the m'th term of 10683, 85395, 288175, 683061, 1334091, 2305303, 3660735? 10673*m**3 - 4*m**2 + 13*m + 1 What is the m'th term of 223754, 223887, 224256, 224981, 226182, 227979, 230492? 20*m**3 - 2*m**2 - m + 223737 What is the f'th term of 34797289, 69594569, 104391849? 34797280*f + 9 What is the p'th term of 15847937, 15847902, 15847867? -35*p + 15847972 What is the p'th term of 320, -1328, -2976, -4624? -1648*p + 1968 What is the h'th term of -1490667, -2981305, -4471941, -5962575, -7453207? h**2 - 1490641*h - 27 What is the g'th term of -14672, -23216, -37454, -57386, -83012? -2847*g**2 - 3*g - 11822 What is the o'th term of 45435, 52485, 59535, 66585, 73635? 7050*o + 38385 What is the r'th term of 883, 3503, 7923, 14191, 22355, 32463? 8*r**3 + 852*r**2 + 8*r + 15 What is the l'th term of -404621, -809275, -1213929, -1618583? -404654*l + 33 What is the o'th term of -238, -878, -2256, -4624, -8234, -13338, -20188, -29036? -42*o**3 - 117*o**2 + 5*o - 84 What is the g'th term of 9280042, 9280049, 9280060, 9280075, 9280094, 9280117, 9280144? 2*g**2 + g + 9280039 What is the y'th term of -336273, -672652, -1009139, -1345734, -1682437, -2019248? -54*y**2 - 336217*y - 2 What is the u'th term of 58785, 56631, 54481, 52335,
{ "pile_set_name": "DM Mathematics" }
-10 (e) -0.2 a Let o = -1/10 - 27/5. Let d = 6 + o. Let s be ((-5)/75)/((-2)/(-4)) - 6344/(-12480). What is the biggest value in d, -0.5, 0.1, s? d Let v(l) = 8*l + 69. Let x be v(-8). Suppose -x*z - 21 = 4*q, 2 = 3*z - q + 1. Which is the biggest value? (a) z (b) -23 (c) 3 c Let k(y) = y**3 - 20*y**2 + 45*y - 489. Let l be k(19). Let z = -0.15 + -0.15. Which is the biggest value? (a) l (b) z (c) 0 (d) -0.4 a Let s be ((-6)/56)/((-40)/160). Let v be (-9)/(-2)*(-2)/(-3). Suppose 0 = 13*x - 16 + 3. Which is the third smallest value? (a) v (b) -0.1 (c) x (d) s c Let x be ((-2)/(-10) - (-8 - -8))*92. Let f = 629/35 - x. What is the third smallest value in f, -0.4, 3? 3 Let g = 26.28 + -26.58. Let d = -7.8 - -7.83. Let l be 1 + 1/((-14)/6). What is the third smallest value in d, l, g? l Let j = 7498 - 7498.03. Let p = -0.1 + -0.1. Which is the second smallest value? (a) p (b) j (c) -3 a Let n = -12157 - -12157.5. What is the smallest value in n, 5, 0.06, 3, -0.54? -0.54 Let y = -2.4 + 7.4. Let v = y - 0. Let j = 722.5 + -722. Which is the second smallest value? (a) j (b) v (c) 30 b Let u(o) = 15*o**2 - 5*o - 40. Let j be u(-5). Let v = 1081/3 - j. Which is the biggest value? (a) 0.06 (b) v (c) 4 c Let a be (24 + -8)*-1 + 1/1. Let q be (-92)/(-260) - (-3)/a. Let l = 1/3 + -11/24. What is the smallest value in -3, -1, l, q? -3 Let o be (3/(-28))/(3/12) - (-247)/1197. What is the third smallest value in o, 2/5, -4, 1.7? 2/5 Let s = 5670 - 5668. Which is the fourth smallest value? (a) -1/5 (b) 3/7 (c) s (d) -0.04 c Let x = -18 + 30. Let u = -9 + x. Let z be (-1)/4 - 5/20. Which is the smallest value? (a) u (b) 2/25 (c) z c Let r(q) = -4*q - 57. Let s be r(-13). Let j be s/14*252/(-315). Let l be 6/27 - 146/90. Which is the third biggest value? (a) l (b) j (c) -5 c Let m = -2680 - -2684. What is the smallest value in -6, 0, m? -6 Let o be (-21)/(-60) + (-2)/(-5). Let r = 265 - 142. Let i = r + -116. Which is the second smallest value? (a) -0.4 (b) o (c) i b Let o = -308.4 - 7.6. Let i = o + 315.5. Which is the fourth smallest value? (a) i (b) -0.4 (c) 5 (d) 13 d Let o = -1.5 - 2.5. Let j = 3671 - 3672. What is the smallest value in o, j, 1? o Let v = 0.039 + 0.261. Let k = -2.23 + 1.74. What is the second smallest value in v, -1/4, k, -2? k Let t = 6 - 22. Let j = t - -15. Let m(y) = y**3 + 30*y**2 + 54*y - 62. Let z be m(-28). What is the third smallest value in z, j, -5? j Let n = -94.75 - -97. Let d = -2.45 + n. Let v be -1 - (33/18 + -2). What is the fourth smallest value in d, v, 0.1, 4? 4 Let o(c) be the third derivative of c**6/120 - 13*c**5/60 + 5*c**4/12 + c**3 - 13*c**2. Let y be o(12). Let x = y - 8. What is the smallest value in x, 5, -5? x Let d be ((-98)/(-21) - 5) + (-92)/12 + 4. Which is the third smallest value? (a) d (b) 0.07 (c) 4/29 c Let j = 99479498.091 - 99534009. Let s = 54541 + j. Let u = 0.091 - s. What is the second smallest value in u, -0.5, 0.3? -0.5 Suppose -10 = -5*v, 3*v = -2*n + 117 - 19. Which is the third biggest value? (a) n (b) 1/4 (c) -2/5 (d) -3 (e) -1 c Let b = -4371 + 4370.9. What is the smallest value in b, -666, 4? -666 Let k = -1.043 - -0.93. Let l = k + 0.413. What is the second smallest value in -2/3, l, 6? l Let m = 18007/3378 + 3/1126. Which is the fourth biggest value? (a) 0.2 (b) -1 (c) -4 (d) m c Let h = 23962 - 23971. What is the fourth smallest value in -1/3, -2/3, -0.2, -8, h? -1/3 Let w = 1 + 1. Let i = 5226 - 5231. Which is the second biggest value? (a) w (b) 1/127 (c) i b Let f = -1.875 - -2.38. Let p = 1.105 + -1.1. Let t = f - p. What is the smallest value in t, -10, 0.2? -10 Let g = -6816 + 6811. Which is the second biggest value? (a) -1/5 (b) -1.169 (c) 5 (d) 3 (e) g d Let f = -368343 + 368335. Let p be 20/(-25)*5/(-2). Let v be ((-4)/p)/(24/(-4)). What is the biggest value in v, -4, f? v Let j = 1.6526 - 2.1526. Which is the smallest value? (a) j (b) -41 (c) 0.62 b Let s(i) = i**3 - 52*i**2 + 197*i - 297. Let c be s(48). What is the third biggest value in -2, -7/6, c? c Let m = -0.0747 - -2.0747. Let y = -1.845 - 0.155. What is the biggest value in y, m, 0.2, 25/6? 25/6 Suppose 7*v + 100 = 76 - 88. What is the third biggest value in v, 28, -1? v Let g = -3036.5897 + 3037. What is the second smallest value in 0, 2, g? g Let q = -7.1 - -3.8. Let w = 38.9 + -39.2. Let p = q - w. Which is the smallest value? (a) 4 (b) p (c) 2/11 b Let f = 0.019 - 0.119. Suppose 23*o = -49*o + 360. Which is the third smallest value? (a) o (b) -2 (c) f (d) -8 c Let d = -165880 + 165872. Suppose 20 + 4 = -4*r + 3*g, -r - 3*g - 6 = 0. Let o be 5*1*r/(-15). What is the third smallest value in -3/7, d, o? o Let o = 2.9093 - 2.9063. Which is the fourth biggest value? (a) 1/5 (b) -2 (c) -10 (d) o (e) 0 b Let h be 1/(8/20) + (-4180)/1320. What is the fourth biggest value in h, 11, 0.29, -1/2, 1/6? -1/2 Let v be (-2)/2 - (-40)/30. Let r = 28 - -14. Let u be (-19)/r - (-5)/30. Which is the third biggest value? (a) u (b) -2/5 (c) v b Let n = -36311 + 36311. Let i(z) = -z**3 + 4*z**2 - z - 1. Let q be i(2). Let f = 0 - q. Which is the second biggest value? (a) n (b) -1/2 (c) f b Let i be 0*(543/30 + -18). What is the third biggest value in -2/7, i, 2/5, 58/7, 1? 2/5 Let r be (-203)/2387 - 4/(-22). Let f = -53/93 - r. Suppose -6*z + 4*z + 6 = 0. What is the third biggest value in -0.02, f, z? f Let k be -3189*((-184)/(-60) + -3). Let m = 213 + k. Let v(n) = -n**2 + 4*n - 3. Let x be v(3). What is the third biggest value in -3, x, m? -3 Let h = 163/2 + -1145/14. Which is the third smallest value? (a) h (b) 0.1 (c) -1/29 b Let t = -3424/11 + 23154/77. Which is the third smallest value? (a) -5 (b) 5 (c) t (d) -3 (e) 1 d Let y = -6882/203 + 979/29. Let d(x) = -11*x**3 + x**2 + x - 1. Let v be d(1). Which is the third smallest value? (a) y (b) v (c) -5 a Let k = -1362/11 + 124. Let l = -4322 - -4326. Which is the biggest value? (a) -0.01 (b) -0.5 (c) l (d) k c Let o = -163.75 - -167.75. Which is the smallest value? (a) 5 (b) 148 (c) o (d) -0.5 d Let j = -11183/17 - -1315/2. Which is the third smallest value? (a) j (b) 1/6 (c) -1 b Let k be ((-3)/45)/(-1)*-3. Let a = 2.27 - -1.007. Let z = a + -0.277. What is the second biggest value in z, 5/8, k? 5/8 Let t = 6533 + -6527. Let v = -0.22 + 0.62. Which is the biggest value? (a) t (b) v (c) -0.5 a Let x = 9 + -4. Let j be 1*(-4)/8 + 120/40. Let l = 0 - 2. What is the second biggest value in l, x, j? j Let z be ((-6)/10)/(541/(-580) - (-72)/288). What is the second smallest value in -3, -3/4, z? -3/4 Let p = 6000/7 + -53986/63. What is the fourth smallest value in 8, 0.1, -2, p, 4? 4 Let f = -5643 - -5643.3. Which is the second smallest value? (a) f (b) 0.5 (c) -0.3 (d) 0.02 (e) -7 c Let n = -0.244 + 0.024. Let x = 4.02 + n. Let b = -1.2 - x. What is the smallest value in 0.1, b, -1/13? b Let f(m) = -3*m**3 - 38*m**2 - 25*m + 15. Let k be f(-12). Let n = k - 30. Which is the second smallest value? (a) n (b) 10 (c) -5 (d) -2/11 a Let q = -18.2 - 129.8. Let f = -147.7 - q. What is the biggest value in f, -2, -4/57? f Let a = 0.00784 + 1.59216. What is the third biggest value in a, -1, -1/8, 7? -1/8 Let h = 320 - 324. Let o = -0.03 + 0.53. What is the fourth smallest value in o, h, -0.1, 0.7? 0.7 Let m = 295155/8 + -5025063/136. Let v = m - -109/2. Let k = -59/45 + 19/9. What is the smallest value in 5, 2/3, k, v? v Let n = -9 - -13. Let w be (-2)/n + 66/36. Let h = -0.1402 - 2.8598. Which is the third biggest value? (a) h (b) -0.6 (c) w a Let x = -966 + 970. What is the second biggest value in x, 2625, 5? 5 Let z = 7009 + -7009. Which is the fifth smallest value? (a) -2/43 (b) -4 (c) -11 (d) z (e) -0.5 d Let g = 4 - 3. Let j = -6.888 - -7.088. What is the third biggest value in g, 2/9, j? j Let l = 3.745 - 3.7. Let j = l - 7.445. Let a = j - -7. What is the third smallest value in a, -4, 0.002, -2? a Let j be ((-24)/9)/((112/12)/(-2)). Which is the second biggest value? (a) -3/7 (b) -1/7 (c) -508 (d) j b Let p be ((396/(-315))/22)/(24/90). What is the smallest value in 2/7, p, 1/5, 5, 0.3? p Let b = -18821 + 18825. What is the third smallest value in -165, -3,
{ "pile_set_name": "DM Mathematics" }
87 and h? 11 Let w = -3885 + 4083. What is the highest common factor of w and 1683? 99 Suppose 3*k = 3*u - 3, -4*k - 2*u + 7*u = 1. Let m be -1078*(k - -5)*(-6)/12. What is the highest common factor of m and 49? 49 Let m = -3191 + 3263. What is the highest common divisor of 468 and m? 36 Suppose 89 = i + 17. Let r(m) = 10*m + 93. Let s be r(-9). Suppose 0 = s*f + 3*f - 54. What is the highest common divisor of f and i? 9 Let n = 3288 + -3281. Calculate the highest common factor of 1400 and n. 7 Let b = -398 - -958. Let f = -113 - -193. Calculate the highest common factor of b and f. 80 Suppose 2*j - j = 19. Suppose j = -0*y + y. Let t = -761268 - -761306. What is the greatest common factor of t and y? 19 Suppose -43*w + 9*w = 96*w - 5200. Suppose i - 2*i = -5*c + 4996, -i - 1996 = -2*c. What is the highest common factor of c and w? 40 Suppose d - 1 = -6, -5*k + 3*d + 40 = 0. Let b(f) = 13*f + 7. Let v be b(k). Suppose 0 = -8*g + 2*g + v. Calculate the greatest common divisor of 12 and g. 12 Let l be ((-32)/(-24))/((-6)/(-99)). Let g(n) = -n**2 + 37*n. Let q be g(l). What is the greatest common divisor of 30 and q? 30 Suppose 0 = 9*k - 1045 + 901. Calculate the greatest common divisor of k and 708. 4 Let j = -4 + 13. Let a = j + -8. Let o be (-24)/((a - 4)/3). Calculate the greatest common factor of 48 and o. 24 Let r = -4714 + 5054. What is the greatest common factor of r and 15? 5 Let s be (-8)/12*(-525 - 0). Let q be (40/(-3900) - (-6)/78) + 418/30. Calculate the greatest common factor of s and q. 14 Let j = -25372 + 27012. Calculate the greatest common factor of 1480 and j. 40 Let z(w) = 30*w**2 + 13*w - 41. Let h be z(-13). Suppose 12*v = -15*v + h. What is the highest common factor of v and 40? 20 Let f = 19486 - 19318. Calculate the greatest common divisor of f and 312. 24 Let i(m) = m**2 - 9*m + 65 + 8*m - 13*m. Let v be i(11). Calculate the highest common factor of v and 48. 16 Let n = -777 + 790. Let m(f) = -f. Let y be m(0). Suppose 10*p - n*p + 57 = y. What is the greatest common factor of 209 and p? 19 Let d(j) = -j + 14. Let b be d(-10). Let w = b + -21. Suppose -222 = x - w*x. What is the greatest common factor of 74 and x? 37 Suppose 1231 = 27*r + 421. Suppose -15*t + 13*t + r = 0. Calculate the greatest common divisor of 120 and t. 15 Let x(p) = p**2 + 636*p - 5785. Let w be x(9). What is the greatest common divisor of 930 and w? 10 Let y(q) = -8*q**3 + 25*q**2 + 24*q + 48. Let s be y(-8). What is the highest common divisor of s and 48? 16 Let k be 4/18 - 451/369. Let b(h) = 17*h + 34. Let x be b(k). What is the greatest common divisor of 136 and x? 17 Let o = 324 - 194. Suppose -46*g + 129*g - 5063 = 0. Let b = o - g. Calculate the greatest common factor of b and 3. 3 Let a = -32800 - -33003. What is the greatest common factor of a and 5249? 29 Let m(v) = -v**3 - 40*v**2 - 306*v - 5. Let i be m(-30). What is the greatest common divisor of i and 85? 5 Let a be (66/5)/(2/5). Let d = -18 + 30. Suppose -1 - d = -3*f - 2*u, 4*f - 18 = -3*u. What is the greatest common factor of f and a? 3 Let y = -2572 + 2572. Suppose 1 = 5*m - 24. Suppose y = m*k + 5*r - 45, -26 + 9 = -3*k - r. What is the greatest common factor of 8 and k? 4 Suppose -5487 = 38*u + 20315. Let n = 681 + u. What is the greatest common divisor of n and 21? 1 Suppose -o = 5*u - 239, -4*o + 273 = 2*u - 557. Calculate the highest common divisor of 1326 and o. 102 Suppose -15 = -2*q + q + 5*m, 3*m = -5*q + 103. Suppose 2*s + q*t = 17*t + 101, -25 = 5*t. Calculate the greatest common divisor of 4 and s. 2 Suppose -k = -3*k - 2*h - 600, -3*k = 2*h + 903. Let j = k + 317. What is the highest common divisor of 28 and j? 14 Let g = -76 + 144. Let n(j) = 3*j - 23. Let r be n(9). Let l be -1*((-12 - 9) + r/1). What is the greatest common divisor of g and l? 17 Suppose 0 = 3*y + 27, 3*y = 10*b - 104 + 27. Suppose 7*k = 3*k + 28. Calculate the greatest common divisor of k and b. 1 Suppose 5*s - 14*s = -198. Suppose -3*b - 7*i + 5*i + 34 = 0, -2*i - s = -4*b. Suppose 12 + 20 = 4*t. Calculate the greatest common divisor of t and b. 8 Suppose 4*p = 3*p + 1, 4*w - 3497 = -p. Suppose 29*o = 5622 + w. Calculate the highest common factor of 14 and o. 14 Suppose 0 = -5*a - 2*d, -1 = -2*a - 3*d - 12. Suppose -3*y - 65 = -a*n, 21*y + 15 = 16*y. Calculate the greatest common factor of n and 700. 28 Let w(p) = 21 - 37 + p**2 - 6*p + 28 + 6. Let z be w(4). Calculate the greatest common divisor of z and 500. 10 Let l be (-119)/(-85)*(1 - -4). Suppose -i = l*q - 2*q - 56, -4*i = -q + 28. Calculate the greatest common divisor of q and 96. 12 Let o = -7248 + 10665. What is the greatest common factor of 204 and o? 51 Let i be 4/32 + (-64070)/(-80). What is the highest common factor of 18 and i? 9 Let u(c) be the first derivative of 18 + 2*c**2 + c + 16/3*c**3. Let v be u(-3). Calculate the greatest common divisor of 19 and v. 19 Suppose 3*y - 21 = -3*l, l = 3*y - 8 - 5. Suppose 2*f - 4*f = -58. Calculate the highest common factor of f and l. 1 Suppose 119 = 3*f + 26. Let x be -868*((-45)/(-270))/(2/(-3)). Calculate the greatest common factor of f and x. 31 Let y(r) = -2*r - 12. Let w be y(-6). Let z be (2 - (6 + -4))/(-2 - w). Suppose 5*u - 75 = -z*u. What is the highest common divisor of u and 120? 15 Let b = 8635 - 8315. What is the greatest common factor of 1984 and b? 64 Suppose 3*p + 87 = -3*o, -39 = o - 0*p + 3*p. Let h be -175*6/o*4. Calculate the highest common divisor of h and 70. 35 Let h(r) be the first derivative of r**4/4 - r**3 + 3*r**2/2 + 11*r + 39. Let n be h(7). Calculate the highest common divisor of n and 6. 6 Let y be 2056/40 - (2 - 26/10). Let z = -45 + 84. Suppose z = 3*b - 0*b. What is the highest common divisor of y and b? 13 Suppose -672 = -14*r + 8*r + 378. What is the highest common divisor of 2175 and r? 25 Suppose 3*n + 5*t - 281 = 325, -4*n - t = -825. Let v(y) = 2*y**3 - 3*y**2 - 135*y + 284. Let q be v(2). Calculate the highest common divisor of n and q. 9 Suppose -56 = -2*o - 2*o. Let b(p) = p**3 + 165*p**2 - 1178*p - 63. Let r be b(7). Calculate the greatest common factor of r and o. 7 Let y be 5 - -805 - ((-22)/14 + (-15)/35). What is the highest common factor of 1484 and y? 28 Let t be ((-2)/5)/(944/(-1770))*12. Suppose -6 = -2*y - 2. Suppose -9 - 27 = -y*o. What is the highest common factor of o and t? 9 Let y(n) = 398*n - 6052. Let i be y(24). Calculate the highest common factor of 28 and i. 28 Let h be (-3 + -3 - 3)*1/1. Let a be (15 - 19)*(h + 2). What is the greatest common divisor of a and 12? 4 Suppose -3*j = 2*z - 10217, -36598 + 11093 = -5*z + 5*j. Calculate the greatest common factor of z and 176. 176 Let j = -997 + 31104. Calculate the highest common divisor of 77 and j. 77 Let r be (-86)/(11/(-22) + 6/4). Let h = r - -8. Let o be (-6)/(-4)*h/(-9). Calculate the greatest common divisor of 117 and o. 13 Suppose 4*z = 2*x - 2, z = 4*x - 9*x + 27. Suppose -160 + 580 = x*t. What is the highest common divisor of 24 and t? 12 Let f be 4 - 516*((-104)/24)/13. What is the greatest common divisor of 286 and f? 22 Let a(g) = 157*g + 5066. Let o be a(-32). Calculate the highest common divisor of o and 4228. 14 Let u = 7037 - 6887. Calculate the highest common divisor of 1275 and u. 75 Let h be (-18)/(-4)*(3/9 + 1). Suppose -h*a + 864 = 6*a. Calculate the greatest common factor of 45 and a. 9 Let y = -482 + 486. Suppose 204 = y*z + 2*b + 76, 0 = 2*b + 4. Calculate the greatest common divisor of z and 55. 11 Suppose -155 = -10*f - 2095. Let x = -92 - f. Calculate the greatest common divisor of x and 68. 34 Let v be 104/390*15*1. Let c(n) = 160*n**2. Let x be c(-1). Suppose -20 = -5*t, 5*p - 5*t + 0*t - x = 0. What is the highest common factor of v and p? 4 Let h = -593 - -640. Suppose 3*g - 82 = -4*s, -3*s = 2*g + h - 109. What is the greatest common divisor of s and 143? 11 Let o(m) = -77*m - 2. Let p be o(-2). Let r = 262 - 259. Suppose 3*a = r*x - 2*x + 54, -64 = -4*a + 4*x. What is the highest common factor of a and p? 19 Suppose -1084*i = -2*s - 1082*i + 6880, -6 = 3*i. Calculate the highest common factor of s and 955. 191 Suppose -j - 13 = 3*q, -4*q - 3*j - 4 = 5. Let h be 377 - (-6)/(-12 - q). What is the greatest common factor of h and 47? 47 Suppose
{ "pile_set_name": "DM Mathematics" }
2*p(t). Determine g so that y(g) = 0. 3, 30 Let d(y) be the third derivative of -y**6/48 - 205*y**5/6 + 1546*y**2 - 2. Factor d(x). -5*x**2*(x + 820)/2 Let t(u) be the third derivative of 2*u**7/735 + 66*u**6/35 + 494*u**5 + 156674*u**4/3 - 672182*u**3 + 1175*u**2. What is h in t(h) = 0? -133, 3 Suppose -1210 = -110*c - 770. Let r(b) be the third derivative of -7/2*b**c - 1/15*b**5 - 16*b**2 + 0*b + 12*b**3 + 0 + 1/6*b**6 - 2/105*b**7. Factor r(d). -4*(d - 3)**2*(d - 1)*(d + 2) Let s = -1 + 3. Let m = 18278 + -54818/3. Factor 2/3*n**3 + m*n - 10/3*n**s - 8/3. 2*(n - 2)**2*(n - 1)/3 Let z = -2283 + 2288. Let g(t) be the second derivative of 10/3*t**3 + 11/4*t**4 + 0 + 2*t**2 + 11/10*t**z - 4*t + 1/6*t**6. Let g(v) = 0. Calculate v. -2, -1, -2/5 Let p = -3223 - -1513. Let l = -1707 - p. Suppose -3/4*f + 3/4*f**l - 3/8*f**4 + 3/8*f**2 + 0 = 0. What is f? -1, 0, 1, 2 Let u(z) be the first derivative of 20 - 2/27*z**3 + 0*z**2 + 8/9*z. Factor u(o). -2*(o - 2)*(o + 2)/9 Let p(g) be the third derivative of g**7/210 - g**6/20 - 3*g**5/20 + 7*g**4/12 - 2184*g**2. Factor p(k). k*(k - 7)*(k - 1)*(k + 2) Let r(f) = 2*f**2 + 82*f - 82. Let m be 3/5 + 168/(-30). Let l(q) = 3*q**2 + 165*q - 163. Let c(g) = m*r(g) + 2*l(g). Find o, given that c(o) = 0. -21, 1 Factor 26/9*n**4 + 0 - 80/9*n**3 + 0*n + 8*n**2 - 2/9*n**5. -2*n**2*(n - 9)*(n - 2)**2/9 Let m(a) = -27*a**2 - 326*a - 22. Let q(s) = 2. Let i(f) = -3*m(f) + 3*q(f). Factor i(l). 3*(l + 12)*(27*l + 2) Let r(m) be the first derivative of -2*m**5/35 + 3*m**4/14 + 8*m**3/3 - 60*m**2/7 - 360. Factor r(i). -2*i*(i - 6)*(i - 2)*(i + 5)/7 Suppose -110/3*i**2 - 36 + 217/3*i + 1/3*i**3 = 0. Calculate i. 1, 108 Let r be 2/4 + (-950)/(-180). Let l(m) = -7*m**2 - 41*m + 58. Let b be l(-7). Factor 2 - 2/9*n**4 - 4/3*n**3 + 16/3*n**b - r*n. -2*(n - 1)**3*(n + 9)/9 Suppose 4*v - 4*p + 5*p - 18 = 0, 3*p + 2 = 2*v. Factor 10*t**3 + 242*t**2 - 242*t**2 + 3*t**v - t**3. 3*t**3*(t + 3) Suppose 0 = -5*o - u - 3455, 7*o = 3*o - 2*u - 2770. Let j = o - -1383/2. Factor 0*w**2 + 0*w + 1/2*w**5 + 0 + w**3 - j*w**4. w**3*(w - 2)*(w - 1)/2 Let r be (-43)/211 - (12 - (-183)/(-15)). Let o = r + 38008/7385. Suppose -6/7 - o*i**2 + 15/7*i**3 + 27/7*i = 0. What is i? 2/5, 1 Let u = 3082 - 2920. Suppose -2*l - 5*m - 15 = -0*l, -2*m = 4*l + 6. Suppose 178*w**2 - u*w**2 + 4*w**3 + 0*w + l*w = 0. Calculate w. -4, 0 Suppose -49*n + 299*n - 68*n - 118*n + 2*n**2 = 0. What is n? -32, 0 Let z be (12 - (-266)/(-21))*(30/9)/(-10). Factor 2/9*y + 0 + z*y**2. 2*y*(y + 1)/9 Let y(z) be the second derivative of z**5/110 - 4*z**4/33 - 3*z**3/11 + 8*z - 90. Factor y(s). 2*s*(s - 9)*(s + 1)/11 Let j be ((-150)/(-315))/(((-39)/351)/((-10)/25)). Solve -4/7*u**3 + j*u**2 + 0 - 8/7*u = 0. 0, 1, 2 Let s(u) be the second derivative of u**6/15 - 9*u**5/10 + 7*u**4/6 + 3*u**3 - 8*u**2 - 445*u. Factor s(q). 2*(q - 8)*(q - 1)**2*(q + 1) Let h(w) be the third derivative of 11/270*w**5 + 0*w**4 + 12*w**2 + 0*w**3 + 0 - 1/540*w**6 + 0*w. Factor h(u). -2*u**2*(u - 11)/9 Let h be 2/(-10) - (-231)/55. Factor -16*p**2 + 4*p**2 + 56*p + 107 + h*p**4 - 139 + 4*p**3 - 20*p**3. 4*(p - 4)*(p - 1)**2*(p + 2) Let d(x) = x**3 - 8*x**2 + 19*x - 37. Let p be d(6). Let q be p + 0 - (-11 + 344/24). Factor 0*u - 1/3*u**4 + 1/3*u**5 + 0 - q*u**3 - u**2. u**2*(u - 3)*(u + 1)**2/3 Let v(p) be the third derivative of -1/60*p**5 + 39*p**2 + p + 0 + 17/3*p**3 - 5/8*p**4. Factor v(k). -(k - 2)*(k + 17) Let i(t) = 29*t**2 + 1901*t - 1908. Let z(h) = 11*h**2 + 634*h - 637. Let v(p) = -4*i(p) + 11*z(p). Solve v(m) = 0. 1, 125 Suppose 15*h = 438 - 183. Let i(x) be the first derivative of h + 2/5*x + 1/10*x**2 - 1/15*x**3. What is f in i(f) = 0? -1, 2 Let p(u) be the second derivative of u**5/60 + 11*u**4/36 + 2*u**3 + 6*u**2 - 6*u + 88. Factor p(d). (d + 2)*(d + 3)*(d + 6)/3 Let v be 693/1540*112/126. Let 8/5*m + 6/5*m**4 - 6/5*m**2 - 2*m**3 + v*m**5 + 0 = 0. Calculate m. -4, -1, 0, 1 Let h be (7 + 135/(-18))*-380. What is s in 35*s - h*s**2 - 184*s**2 + 369*s**2 = 0? 0, 7 Let l be (76/(-42) + 136/204)*420/(-120). Factor 40/7*n + 24/7*n**3 - 12/7 - 48/7*n**2 - 4/7*n**l. -4*(n - 3)*(n - 1)**3/7 Let x = -179174/18665 + -2/3733. Let z = x - -346/35. Suppose z*a + 6/7*a**3 - 6/7*a**2 - 2/7*a**4 + 0 = 0. What is a? 0, 1 Let n(x) be the first derivative of 2*x**3/3 + 2628*x**2 + 3453192*x + 3486. Factor n(a). 2*(a + 1314)**2 Let i be 13 + (-43)/(-1)*(-12)/(-60) + -8. Suppose -648/5 - 506/5*k**2 + i*k**3 - 1224/5*k - 2/5*k**4 = 0. What is k? -1, 18 Let q(a) = 2*a**2 + 6*a + 2. Let p(u) = -7207*u**2 + 7044*u - 1732. Let h(j) = -p(j) - 2*q(j). Factor h(x). 3*(49*x - 24)**2 Let s be 165/132 - ((-18)/(-8))/(-3). Suppose 5*a = -s*y + 33 - 22, -5*y + 13 = -2*a. Factor 5/3*z**5 - 1/3*z - 4/3*z**y - 8/3*z**4 + 10/3*z**2 - 2/3. (z - 1)**3*(z + 1)*(5*z + 2)/3 Let i be 7 + (1140/76 - (-5)/(40/(-162))). Factor 61/2*j**2 + 131/4*j + 15/2*j**3 - i*j**4 - 1/4*j**5 + 45/4. -(j - 5)*(j + 1)**3*(j + 9)/4 Suppose 67*p = -19*p + 69402. Let y = p - 5643/7. Factor 6/7 + 6/7*t - y*t**3 - 6/7*t**2. -6*(t - 1)*(t + 1)**2/7 Let v(h) be the first derivative of 6*h**2 + 8/5*h**5 - 5*h**4 + 0*h - 16/3*h**3 - 1. Determine g, given that v(g) = 0. -1, 0, 1/2, 3 Let o(y) be the third derivative of y**6/24 - 64*y**5/3 + 3805*y**4/24 - 1265*y**3/3 + 3871*y**2. Determine l so that o(l) = 0. 1, 2, 253 Let v be 72/(-63)*644/(-184). Determine i, given that -8*i + 44/7*i**3 - 92/7*i**2 + 0 + 8/7*i**v = 0. -7, -1/2, 0, 2 Let t(n) be the first derivative of 11*n**4/6 + 304*n**3/9 - 193*n**2/3 + 20*n + 6103. Let t(r) = 0. Calculate r. -15, 2/11, 1 Let c(p) = 76*p - 56. Let u = -1335 + 1336. Let r be c(u). Factor 4/5*j**4 + 48/5*j**3 + 48*j + r + 184/5*j**2. 4*(j + 1)**2*(j + 5)**2/5 Let k = 9/28 + 117/28. Let w = 103/14 - 48/7. Find q, given that -k*q**4 - 21/2*q**3 - 13/2*q**2 + w*q + 1 = 0. -1, -2/3, 1/3 Suppose -38 = 2*s - 21*s. Factor -137*c**4 + 0*c**3 + 133*c**4 + 12*c**s + 8*c**3. -4*c**2*(c - 3)*(c + 1) Suppose -5*v + 4 = -2*v - 5*u, -5*u = 4*v + 18. Let z be (-2)/(-4)*(-11 - -9)/v. Solve 3/4 + z*p - 1/4*p**2 = 0. -1, 3 Suppose 19*d**3 + 49*d**5 - 39*d**3 - 12*d**2 - 60*d**3 - 119*d**4 + 65709 - 65709 = 0. What is d? -2/7, 0, 3 Let f be (-637)/(-65) - 4/(-20). Let h(y) = y**3 - 11*y**2 + 14*y - 38. Let l be h(f). Factor -3/4*o**3 - 3/2*o**l + 3/2 + 3/4*o. -3*(o - 1)*(o + 1)*(o + 2)/4 Let w(n) be the second derivative of -n**7/6 - 5*n**6/2 + 29*n**5/20 + 25*n**4/4 - 11*n**3/3 - 2*n - 156. Solve w(i) = 0. -11, -1, 0, 2/7, 1 Let i(n) be the third derivative of -n**8/560 - 121*n**7/35 - 122109*n**6/50 - 32969027*n**5/50 - 65450827*n**4/40 + 21*n**2 - 48*n. Factor i(u). -3*u*(u + 1)*(u + 403)**3/5 Let a be 0/2 - (360/20 + -15) - -5. Let w(f) be the third derivative of 3/7*f**3 - 1/210*f**5 + 0 + f**a + 0*f + 2/21*f**4. Determine b, given that w(b) = 0. -1, 9 Solve 37123*f - 1600*f**2 + 5717*f + 6*f**3 + 583*f**2 + 21675 = 0. -1/2, 85 Let w be (-8)/(-6)*(-357)/35*-5. Let s = 71 - w. Factor -6*i**4 - 2*i + i**5 - 8*i - 6*i**5 - 45*i**s + 31*i**4 + 35*i**2. -5*i*(i - 2)*(i - 1)**3 Let v = 125829/2 + -62913. Let 12 + 9*z - v*z**3 - 9/2*z**2 = 0. Calculate z. -4, -1, 2 Suppose 2353*m = 4927*m - 2471*m. Solve 26/7*a**4 + m + 8/7*a**5 + 2/7*a + 30/7*a**3 + 2*a**2 = 0. -1, -1/4, 0 What is g in -366*g**4 + 382*g**4 - 380*g**3 - 100*g - 389*g**2 - 107*g**2 = 0? -1, -1/4, 0, 25 Let u be ((-207790)/52892)/((-44)/42). Factor u*l**2 + 15/8*l**4 + 3/8*l**5 + 3/8 + 15/4*l**3 + 15/8*l. 3*(l + 1)**5/8 Let x(c) be the third derivative of c**8/8400 + c**7/1050 - c**6/1800 - c**5/150 - 9*c**3 + 24*c**2. Let w(y) be the first derivative of x(y). Factor w(m). m*(m - 1)*(m + 1)*(m + 4)/5 Let b be (-1 - 11 - -4) + 168/18. Let c(q) be the third derivative of 0*q + b*q**3 + 1/3*q**4 + 0 - 32*q**2 - 1/10*q**5. Let c(g) = 0. What is g? -2/3, 2 Suppose -6*u + u - g = -139, 19 = u - 2*g. Let n = -23 + u. What is s in 0*s**2 + n - 6*s + 0*s**2 - 4*s**2 + 6*s**2 = 0? 1, 2 Suppose 0 = -5*s - 25, -15*q + 2*s = -11*q - 26. Factor 10/7*y - 2/7*y**2 + q. -2*(y - 7)*(y + 2)/7 Let n(d) be the first derivative of 2*d**4/33 + d**3/33 - 56*d - 87. Let i(u) be the first derivative of n(u). Let i(y) = 0. What is y? -1/4, 0 Let m(x) be the first derivative of -2*x**5/5 - 19*x**4
{ "pile_set_name": "DM Mathematics" }
t c be 1 + 10/(-4) + 0. Sort u, 2, c in increasing order. c, u, 2 Suppose 4*g - 4 = -4*o, -6 = g - 3*g - 4*o. Suppose -3*r - 3*i - 3 = 0, -2*r = r - 4*i - 4. Sort -5, r, g. -5, g, r Let x(g) = -g**2 + 6*g + 1. Let o be x(6). Suppose -o = -2*l - 7. Suppose -p + 4*d = 7 + 13, 4*p + 2*d - 10 = 0. Sort p, 4, l. l, p, 4 Let t = -99 - -96. Let n be (1/(-3))/((-2)/(-6)). Sort -5, n, t in descending order. n, t, -5 Let o = -2 + 1.5. Sort 0.4, o, 2/17 in increasing order. o, 2/17, 0.4 Suppose -3*s - 21 = -4*s + 5*h, -3*s + 2*h = -11. Let l = -21 + 15. Let k be (4/l)/(14/21). Sort -5, s, k in ascending order. -5, k, s Let f be ((-12)/(-10))/(12/40). Sort f, -5, -4 in decreasing order. f, -4, -5 Let c = -11 + 28/3. Sort -2/5, c, -0.2. c, -2/5, -0.2 Let l = -3.2 + 3. Let g be (-2)/((-8)/3 - -2). Sort g, l, -5. -5, l, g Suppose -27 = -7*s - 6. Let r = 0.61 - -3.69. Let v = r + -4. Sort v, -0.1, s in descending order. s, v, -0.1 Let d = -421/12 + 147/4. Sort 0.3, d, -2/9 in descending order. d, 0.3, -2/9 Let s(t) = -t - 13. Let x be s(-17). Put -6, x, -0.4 in ascending order. -6, -0.4, x Suppose 7*u - 3*u = 5*a + 69, -u - 5*a = 14. Let h = 2 + u. Suppose 3*g + 2*m = h, 4*g - m - 24 = -3. Sort g, -5, -4 in descending order. g, -4, -5 Suppose 0 = 3*l - 4*l - 4*c - 1, 0 = -2*c. Let d = -25 + 27. Sort d, -3, l in ascending order. -3, l, d Let x = 0.1 - -4.9. Let k be ((-12)/105)/(8/20). Sort -5, k, x in ascending order. -5, k, x Let j = -1.73 + 2.23. Suppose 0 = -3*l + 7*l - 4. Put l, j, -2/5 in increasing order. -2/5, j, l Let l = 6 + -1. Let x = l - 5. Sort x, -2, 4 in increasing order. -2, x, 4 Suppose 0 = -17*b + 40 - 6. Sort 5, b, 1, 4 in descending order. 5, 4, b, 1 Let m be (-3)/((-12)/20) - 4. Suppose 2*j - 2 - 2 = 0. Put j, m, -2 in decreasing order. j, m, -2 Let t = 1.92 - 1. Let p = t - -0.08. Put p, -3, 2 in increasing order. -3, p, 2 Let r be (-22)/8 + 4 + (-1)/4. Sort -1, r, -2 in ascending order. -2, -1, r Let l = -94.98 + 96. Let h = l - 0.02. Put 3/2, h, 4/7 in descending order. 3/2, h, 4/7 Let f = -11 - -5. Let r be 2 + (-4)/f + -2. Sort -0.4, -4, r. -4, -0.4, r Suppose 3*t + 16 = t + 4*v, -5*v = -2*t - 18. Suppose 3*u + 16 = -w, 0*w + 3*w - u = -18. Let h = w - -11. Put t, h, 0 in descending order. h, 0, t Suppose 16 = d - 0*o + o, -3*d + 5*o + 40 = 0. Let s = 10 - d. Sort s, 0.4, 2/11 in increasing order. s, 2/11, 0.4 Suppose -3*i - 3 = -6. Let t be i/(3*3/18). Suppose t*q = -0*q - 6. Put q, 3, -5 in descending order. 3, q, -5 Let f(s) = -s - 16. Let c be f(-20). Let g be 43/(-9) - (-8)/(-36). Sort 0, c, g in decreasing order. c, 0, g Let w = -208 + 1031/5. Sort w, -5, -1/2 in decreasing order. -1/2, w, -5 Let j = 13.23 - 13. Let h = j - 0.53. Let s be -1 - 4/(-26) - -1. Put s, h, -1/2 in decreasing order. s, h, -1/2 Let i = 0 - -1. Let n = -0.01 - -0.21. Let m = -0.3 - n. Sort i, m, 4/5 in descending order. i, 4/5, m Let m(q) = q**3 + 4*q**2 - 2. Let t be m(-4). Let s = 85.1 - 81. Let l = s - -0.9. Put t, l, 5/4 in ascending order. t, 5/4, l Let u = 0.983 + 0.017. Let m(q) = -q**2 + 5*q - 4. Suppose 5*l = 15 + 5. Let t be m(l). Put 0.3, t, u in decreasing order. u, 0.3, t Let o = -2.8 + 3. Let g = 0.295 - -0.705. Sort 5, o, g in ascending order. o, g, 5 Let t(g) = g**3 + 10*g**2 + g - 7. Let v be t(-10). Let a = -22 - v. Put 0, -1, a in decreasing order. 0, -1, a Let r(s) = s**3 + 7*s**2 + 6*s - 1. Let l be r(-6). Suppose u = -2*t - 1, -3*u = 4*t + 5 + 2. Sort -5, t, l in decreasing order. t, l, -5 Suppose -4*c - 4*x = -8, -5*c + 3*x = x - 3. Suppose -n = 2 - c. Put 9, n, 1/3 in decreasing order. 9, 1/3, n Suppose -4*u + 1 = -3, -3*a + 21 = 3*u. Suppose -2*f - 3*x = -a*f - 12, -f = -x + 3. Let b = 8 + -12. Put b, 5, f in ascending order. b, f, 5 Let u be -2 + 3 - 17/15. Let p = 129.3 - 129. Sort 1, p, u in increasing order. u, p, 1 Let m = -1.22 + 0.02. Let z = 1.8 - m. Let i = 512/5 - 103. Sort -2, i, z in descending order. z, i, -2 Let z = 59 - 40. Suppose -33 = -5*b + 3*t, -3*b + t + z = -0*t. Sort -5, b, -2 in decreasing order. b, -2, -5 Suppose 3 - 1 = -k. Suppose -z - 1 + 2 = 0. Let t = -7 + 6. Sort k, z, t in ascending order. k, t, z Suppose 0 = -7*d + 4*d - 3. Let f be (1 - d)*(-1)/3. Sort f, -2, -5 in decreasing order. f, -2, -5 Let s = -487/820 + -1/164. Let b be 4 - (1 + -1 - 1). Let t = 1.98 - -0.02. Sort b, t, s in descending order. b, t, s Suppose 2*d = n + 3*d + 3, 4*n - 2*d = -12. Let s = -17 + 12. Sort s, 1, n. s, n, 1 Let v = 25 + -24. Suppose 0 = 3*w + s - 10, -4*s - 9 = 2*w + v. Sort 1, 2, w in ascending order. 1, 2, w Let j be (0 - (-2)/2)*2. Let b be ((-7)/((-14)/(-20)))/1. Let i = b + 6. Sort i, 5, j in increasing order. i, j, 5 Let g(b) = -b + 12. Let z be g(8). Let x = 0.1 + 0.1. Put -1, x, z in decreasing order. z, x, -1 Let z = 32 - 38. Sort z, 3, 0 in decreasing order. 3, 0, z Let r be 15/(-24)*4/20. Put r, -0.5, -3 in increasing order. -3, -0.5, r Let d be 3 + (-3 + 3)/2. Suppose b - 5*c + 35 = 6*b, -b = -d*c + 1. Put -7, -2, b in increasing order. -7, -2, b Suppose 5*h + 7 + 8 = 0. Let a(o) = -o**3 - 3*o**2 + o - 4. Let v be a(h). Put v, -3/2, -0.2 in decreasing order. -0.2, -3/2, v Let t be (1 - 1/1)/(-4). Let n be 4/10*(-1)/3. Put n, t, 4 in increasing order. n, t, 4 Suppose 7*l - 4*l + 33 = 0. Let g = -6 - l. Sort g, -3, 1/12 in descending order. g, 1/12, -3 Let t be -3 + 2*95/50. Sort t, 3/5, -1/5. -1/5, 3/5, t Let u = 22 + -23. Put -2/9, 2, u in ascending order. u, -2/9, 2 Let z be (-1)/((-12)/(-16) - 1). Put z, 2, 5 in decreasing order. 5, z, 2 Let j(d) = 2*d**2 + 4*d - 2. Let z be j(-7). Suppose o - 24 = -o - h, -4*o + 3*h + z = 0. Let l be 48/o - (7 - 4). Sort -2/3, -0.4, l in descending order. l, -0.4, -2/3 Let o = 3.36 + 0.64. Sort -3/8, o, -5, -4. -5, -4, -3/8, o Let t(g) = -2*g + 1. Let i(m) = -4*m + 2. Let y(b) = -4*i(b) + 9*t(b). Let c be y(-2). Sort -4, c, -1 in ascending order. -4, -1, c Suppose -5*f + 2 = -4*j - 38, -2*f = -5*j - 33. Let h be 25/(25/(-5)) + 10. Sort -3, j, h in increasing order. j, -3, h Suppose -5*p = -9 - 1. Suppose i - 4*i = 12. Let j(c) = -c - 2. Let n be j(0). Sort p, n, i in ascending order. i, n, p Let h(y) be the second derivative of y**4/6 - 5*y**3/6 + y**2 - y. Let l be h(3). Let o be (-3 + 2)*1 + 0. Sort o, l, -5 in descending order. l, o, -5 Let d(y) = -y**2 + 6*y + 4. Let i be d(6). Let a = -4 + i. Let g = a - -3. Put 1, -1, g in descending order. g, 1, -1 Let u = -17 - -9. Let i be (-65)/(-100) - (-2)/u. Put -0.2, i, -0.4 in descending order. i, -0.2, -0.4 Let h = -20 - -20. Put -5, 5, h in decreasing order. 5, h, -5 Let d = 0.93 + 0.07. Let n = d + -6. Put n, 2, 0.4 in decreasing order. 2, 0.4, n Let p = 0.5 - -2. Let c = -3 + p. Let h = 1 + -0.8. Sort -2, c, h in descending order. h, c, -2 Let z = 5.7 - 0.7. Put z, 0, 1 in decreasing order. z, 1, 0 Let w = 16 + -6. Let c = 9.5 - w. Let o be (0 - 0) + (-4)/(-4). Sort 2, c, o. c, o, 2 Suppose 5*w + 4*a = -10, 3*w + 5*a - 4*a = 1. Suppose 0 = -d + 8 - 5. Suppose 27 = -3*r - d*q, -2*r - q - 6 = 7. Put -1, r, w in decreasing order. w, -1, r Let o = 277 + -276. Let z = -3 + 2. Put o, z, -2 in ascending order. -2, z, o Let w = 19 + -18.5. Sort -4, -2, w in decreasing order. w, -2, -4 Let o(v) = -v - 7. Let p be o(-5). Suppose 25 = -0*w + 3*w - 4*s, -4*s - 16 = 0. Suppose w*k + 2 = -7. Sort k, p, -1 in increasing order. k, p, -1 Let h = -402/35 - -56/5. Sort h, -18, -1/8 in ascending order. -18, h, -1/8 Let o be 8/20*1*5. Suppose -2*v = o*v. Suppose v = -2*w + 2*x - 14, 4*w + 0*x = -2*x - 16. Put w, -1, 0 in ascending order. w, -1, 0 Let n = 0.06 - -1.94. Let x = -0.085 - 0.415. Put n, -5, x in increasing order. -5, x, n Let c be 2/4 - 27/(-2). Let a be 52/c - 14/(-49). Let d be 36/(-15) + (-2)/(-5). Sort 1, d, a in ascending order. d, 1, a Suppose 0 = -3*q - 18 + 3. Suppose 0 = -6*d + 7*d + 3*o - 8, -4*o = -8. Sort d, -3, q in ascending order. q, -3, d Let d = -2.936 - 0.004. Let z = d - -3. Let b = -0.04 - z. Sort b, 0, 0.5 in increasing order. b, 0, 0.5 Let r = -4 + 0. Let s = -4 - r. Let n be (3/(-6))/(1/(-1)). Put n, s, 4 in ascending order. s, n, 4 Let c = -10/7 + 27/14. Let m = 1/13 + -19/78. Sort m, -0.03, c. m, -0.03, c Suppose 0 = -4*o - 15 + 3. Let y be (12/(-8))/(3/4). Suppose 1 = 3*w + 4. Put o, w, y i
{ "pile_set_name": "DM Mathematics" }