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Solve -3*v = 4*b + r, 5*b + 3 = -2*v - 27 for b. -4 Let a be 32/10 + 3/(-15). Suppose 0*g = -2*g + 3*i + 14, g + 2 = -a*i. Solve -26 = 3*y + g*h, -3*h = -y + h + 18 for y. -2 Let t be (-1320)/2420 - ((-101)/44 + (-1)/4). Solve t*h + h - 4*w - 8 = 0, h - 4*w = 16 for h. -4 Let p = -26 + 3. Let b = p + 25. Suppose -v - b - 21 = -o, 0 = -o - 2*v + 14. Solve -4*k + o = 0, 2*t + 41 = 6*t + 5*k for t. 4 Let b = 4 - 0. Let m = 49 + 3. Suppose -a + 57 - m = 0. Solve g + 0 + 16 = -3*v, b*g = -a*v - 36 for g. -4 Let a(n) = -n**3 + 5*n**2 + 10*n - 21. Let b be a(6). Solve -b*q + 21 = -3*i, 0 = -12*i + 14*i - q + 11 for i. -4 Let r = -36 - -119. Let c = 88 - r. Solve -15 = -c*p - 5*y, -p - p = 4*y - 4 for p. 4 Suppose -7789 = -250*l - 2789. Solve 0 = i + 1, 4*w - 5*i - l = -31 for w. -4 Suppose 18*w = -9 + 28 + 17. Solve -5*o = -w*d + 20, d + 2*o = 4*o + 9 for d. 5 Let m be (-68)/(-12) + (80/(-24))/5. Solve 3*q + b = -1, -85*q - m*b + 15 = -90*q for q. -1 Let j = -129 + 142. Let o(b) = 3*b**2 - 3*b - 2. Let g be o(-1). Let t be 0/((-2)/(g/(-2)))*-1. Solve h + 2*f - 9 = t, -h + 4*h - 2*f = -j for h. -1 Let f(m) = m**3 - 8*m**2 - 24*m + 1. Let c be f(10). Let g be (-2)/4*(c + 33). Solve g*k - 1 = -2*v - 3*v, 5*k + 11 = -2*v for v. 2 Suppose 32*b = -45142 + 45462. Solve 0 = -2*a + b*z - 14*z - 20, -3*z = 9 for a. -4 Let a be 128/(-224) - 8/(-14). Let r be (-5 + a)*(-8)/(-12)*-6. Solve 5*j + 0*j + h - 9 = 0, 4*j - r = -4*h for j. 1 Suppose -v - 18 = -2*y + 3*v, 3*y + 5*v - 5 = 0. Let f be (-1 - (-18)/12)*8*11. Suppose 43*p = f*p - 5. Solve -4*q - 6 = 2*t, 0 = -p*q - t - 2*t - y for q. -4 Suppose -3*d + 9 = 3*r, 33 = 4*r - 2*d + 39. Suppose s + 4*z - 10 = -2, 0 = -s + 4*z. Solve 0 = 3*o - r*o + i + 12, s*o - 3*i = -16 for o. -4 Let d be ((40/(-14))/(-2))/((-700)/(-12250)). Solve 2*y + 2*o = 0, -3*o + d = 34 for y. 3 Let b = -1674 - -1724. Solve -8 = 2*w - 4*c, -3*w - 53*c + b*c - 12 = 0 for w. -4 Let r(m) be the second derivative of -1/2*m**2 + 0 + 1/12*m**4 + 2/3*m**3 - 21*m. Let y be r(1). Solve -2*v + 3*k = 2, -5*v + k = -y*k for v. 2 Let n = -6910 - -6914. Solve 2*z - v + 2 = 0, 71*z - 5 = 76*z + n*v for z. -1 Suppose -2*d = 46*t - 50*t + 28, 40 = 4*t - 5*d. Solve g - t*j = 20, -2*g - 11*j + 13*j = 0 for g. -5 Let v = -4723 - -4727. Solve -n - 20 = 4*n + v*l, n - 4*l = -4 for n. -4 Suppose -5*g + 27 = -2*k, -86*g - 3*k = -83*g + 9. Solve 0 = -3*q - 19*p + 22*p - 18, -15 = -g*p for q. -1 Let a = 16 - 12. Let h = -584 + 584. Solve a*m + d + d + 2 = h, -1 = -3*m - d for m. 2 Let x be (10 - (-6 - 1)) + -13. Let k(z) = 14*z - 5*z - 3 - 1. Let j be k(x). Solve -i - 22 = -2*g + 3*i, -4*g + 5*i = -j for g. 3 Let w = -36 - -36. Suppose 5*j + w*j + 20 = 0, 32 = 5*g + 2*j. Suppose 15*c - g = 11*c. Solve -10 = -c*u - 5*s, -8 = 2*u - 4*u - 4*s for u. 0 Let y(w) = -w**2 - 56*w - 679. Let z be y(-38). Solve 6*t - z*t + 10 = -4*m, -2*t + 7 = -m for m. -3 Let w(x) = -2*x**2 + 4*x + 20. Let z be w(4). Solve 33 = -2*r + 5*c, z*r - 10*c = -13*c - 1 for r. -4 Suppose 0 = -c + 10*c - 27. Let n = -85 - -120. Let h be 12/(-15) - (-378)/n. Solve 0*f = c*m - f + h, -1 = -f for m. -3 Let v be -3 + 1/((-2)/62). Let g = v + 47. Let z = -11 + g. Solve 2*c + 3*j = -2, 0 = -z*c - 2*j - 0*j - 2 for c. -1 Let c be (3/(-2))/((-279)/372). Solve 4*w + 5*a = -0*a - 5, c*w + 3*a = -5 for w. 5 Suppose 13*r = 9*r + 4. Let t(d) = 2*d**2 + 4*d. Let s be t(r). Solve -2*y = -2*f + 14, 0 = -2*f + 2 + s for y. -3 Suppose 0 = -120*u + 124*u - 24. Let x(b) = -7*b. Let d be x(-1). Suppose -1 = -d*j + u*j. Solve 0 = -2*f + g - j, -2*f = -5*g - 11 for f. -2 Let t = 628 - 395. Let h = 237 - t. Solve 0 = -n + 3*n - 6, 3*g = h*n - 24 for g. -4 Let i = -145 + 249. Suppose -5*r + s = -i, 3*r = -r - 5*s + 60. Solve 0 = -n + 4, -n = -3*u + 1 - r for u. -5 Suppose -11*c - 20 = -13*c - 5*x, 0 = -4*c + 3*x + 14. Suppose d = c*q + 21, 0 = d - 17*q + 20*q + 3. Solve 7*w = -2*r + 3*w + 6, -d = 4*r + 2*w for r. -3 Let z be (-24)/(-16)*40/6. Suppose 0 = -2*v - z + 8. Let o be (4/16)/(2/16) - v. Solve 9 = -3*w + o*q, -5*q - 3 = -2*w - 12 for w. -2 Let v(u) = -u - 1. Let g be v(-5). Let a(j) = -j**3 - 7*j**2 - 9*j - 9. Let d be a(-6). Suppose 2 = -d*l + 29. Solve g = o + l*f, 3*f + f - 17 = o for o. -5 Suppose 852 = 21*u - 9*u. Let h be 14 + 1*-1 + (u - 72). Solve -y + h = 2*w + 2*w, -4*y - 5*w + 4 = 0 for y. -4 Let t = 265 + -264. Let r be -7 + t + 0 - -11. Solve 3*i = -2*i + r*h + 30, -5*i - 4*h = -12 for i. 4 Suppose -204*x = 132*x - 104*x - 1160. Solve 2*w = 3*c - x, -16*w + 18*w + c + 9 = 0 for w. -4 Let k = -12483 + 12496. Solve 2*l - 5*n = 10, 14*l - 5*n - 5 = k*l for l. 5 Let u(n) = 64*n + 851. Let x(a) = -15*a - 213. Let d(m) = -2*u(m) - 9*x(m). Let b be d(-30). Solve 38 - 1 = 4*j + b*t, 4*j + t = 17 for j. 3 Let h be (11/(55/6))/((-96)/(-800)). Solve h*k - 5*k - a = 0, 4*a = 3*k for k. 0 Suppose -f = -3 - 12. Let j(o) = 15*o + 10*o - 25 + f*o - 44*o. Let x be j(-8). Solve -3*d - 17 = -5*i, -5*i + x = -4*i + 3*d for i. 4 Let b(n) = -2*n**2 + 6*n - 2. Let s be b(4). Let w be (-33)/77 - (-25)/(-7). Let k be (-59)/(-6) + 1/(w - s). Solve -2*d = -5*f + 28, -d - 6 - k = -3*f for d. -4 Let m(n) = -21*n**2 - 1301*n + 89. Let j be m(-62). Solve 2*r - 4*s - 5 = -j, 4*r - 34 = -5*s for r. 1 Let j = -11 + 16. Let r(h) = -h**2 - 13*h - 26. Let q be r(-9). Suppose 0 = -13*x - q*x + 69. Solve 2*m + x*w + 19 = 0, m - 5*w - j = -m for m. -5 Suppose 4*t = 2*b - 20, -2*b + 13 = -5*t - 11. Let l be (-3 + 8)/(b/12*6). Solve 5*a - l + 27 = -2*m, -5*a - 18 = -2*m for a. -4 Let z(d) = 7*d - 10. Let r(t) = -27*t + 42. Let m(f) = -4*r(f) - 15*z(f). Let l be m(6). Solve l = 2*v + 4*b + 2, -b = -3*v + v - 7 for v. -3 Let y(b) = -b + 9. Let a be y(5). Let w(q) = 14*q**2 + 22*q - 4. Let t be w(-2). Let k be 1 + t/5 - 360/600. Solve c + 10 = a*n, 0 = c - n + k*n for c. -2 Let p = 4 + -4. Let t(a) be the third derivative of a**4/6 + 2*a**3/3 - 11*a**2. Let r be t(p). Solve 0*g + 5 = -r*g + c, 4*c + 8 = 2*g for g. -2 Let p be 14/2 + 3 + -2. Suppose -g + 4 = 0, 59*l - g - 11 = 56*l. Solve -20 = -k - l*n, -k + 0*n - p = -2*n for k. 0 Suppose 5*v + 3*x - 57 = 4*x, 0 = -4*x + 12. Suppose 2*l = -3*h + v, 4*l - 5*h - 30 = -l. Solve -3*w - 2 = -p, w = -w - 4*p - l for w. -1 Let i be (-21*3/18)/(7/(-4)). Solve -3*r - g - 4 = 0, i*r - r - 5*g = 4 for r. -1 Suppose -102 = 2*n + x - 18, 3*n + 2*x + 126 = 0. Let i = -15 - n. Let c be (-15)/(-2) + i/18. Solve 0 = -3*f - c, 3*o + f + f + 21 = 0 for o. -5 Let p be (4 - 0)/((-8)/(-6)). Suppose o + 7 = p*c - 8, 0 = -2*o - 2*c + 10. Suppose 11*t - 140 - 58 = o. Solve 0 = -4*m + 2*a + t, -m + 0*a + 7 = -a for m. 2 Let q(v) = 8*v + 113. Let r be q(-27). Let d = -94 - r. Solve 0 = l - 0*l - 5*z + 24, l = 2*z - d for l. 1 Let p be (-2 - -1 - -1)/((-36)/12). Solve -2*m - 5*b - 1 = p, 0 = -3*m - 2*b + 4 for m. 2 Let x be (-3411)/(-117) - (-4)/(-26). Suppose 4*b + x = 5*o, -2*o + 3*o - 3*b = 8. Solve 5*w - 4*w + 3*n = 11, -o*w + 2*n = 30 for w. -4 Let z(g) = -2*g**3 - g**2 - g. Let k be z(-1). Let u(y) = -y**2 - 54*y - 148. Let i be u(-51). Solve -i*a = 5*v - 45, -v = k*a - 2*v - 6 for a. 5 Let b = 214 - 204. Suppose -156 = -29*u - b*u. Suppose 2 = -4*l + 10. Solve -22 = -l*c + 5*s, u*c + 13 = c - 4*s for c. 1 Let x = 441 + -450. Let c be (6 - 9)*x + 4. Solve -5*b = -8*i + 3*i + 10, 5*b = -2*i - c for b. -5 Suppose 5*a - 3*t - 97 = 0, 4*t + 45 + 56 = 5*a. Suppose 15*c = a*c - 6. Solve -2 = -2*d - 5*j, -d - 2*j - 12 = c*d for d. -4 Let a(m) = 5*m**2 - 20*m + 196. Let s be a(8). Let y = -352 + s. Solve -6 = -4*v + 2*n, 2*n - y = 2*v - 12 for v. -1 Suppose 61*f = 64*f + 12, d + 5*f = -13. Let z be 5/(45/(-6))*(d + -13). Solve 20 = -5*j, z*v + 28 = -2*j - 3*j for v. -2 Suppose -2*s + 240 - 232 = 0. Suppose 36 = s*m + 5*p, 2*m - p - 3 = 1. Solve 14 = -2*t - 2*n, m*t + 3*n = -1 - 22 for t. -2 Let u be (210/18)/((-3)/18). Let v = u + 70. Suppose -4*y - m - 4*m + 45 = v, -y + 4*m = 15. Solve 3*r = -y*f + 10, -2*f + 4*f = 2*r + 20 for f. 5 Let r be (88/(-6))/((-1)/((-27)/6)). Let x = r - -130. Let b = 72 - x. Solve -4*c = c + 2*y + 10, 3*y - b = 4*c for c. -2 Let p = 8310 - 8304. Solve -x = 4*t - 9, p*x - x = -3*t + 28 for x. 5 Suppose -d - 4*u = -5*d - 64, -5*d + 2*u - 83 = 0. Let z be ((-2)/(-10))/(d/(-425)). Solve -3*q -
{ "pile_set_name": "DM Mathematics" }
nder when 21868 is divided by 15. 13 What is the remainder when 5996 is divided by 365? 156 Calculate the remainder when 48680 is divided by 16213. 41 What is the remainder when 315025 is divided by 261? 259 What is the remainder when 11232 is divided by 622? 36 Calculate the remainder when 3849 is divided by 3749. 100 What is the remainder when 3277 is divided by 16? 13 What is the remainder when 37409 is divided by 30? 29 What is the remainder when 581 is divided by 91? 35 Calculate the remainder when 965 is divided by 132. 41 What is the remainder when 29081 is divided by 29069? 12 Calculate the remainder when 3765 is divided by 1672. 421 Calculate the remainder when 25272 is divided by 168. 72 What is the remainder when 49620 is divided by 51? 48 Calculate the remainder when 11747 is divided by 149. 125 What is the remainder when 2843 is divided by 80? 43 Calculate the remainder when 1620 is divided by 808. 4 Calculate the remainder when 10132 is divided by 9095. 1037 Calculate the remainder when 28006 is divided by 72. 70 Calculate the remainder when 1615273 is divided by 42. 37 What is the remainder when 2041 is divided by 97? 4 Calculate the remainder when 45564 is divided by 64. 60 What is the remainder when 47647 is divided by 189? 19 Calculate the remainder when 1842 is divided by 1179. 663 Calculate the remainder when 82765 is divided by 215. 205 What is the remainder when 3565 is divided by 1167? 64 Calculate the remainder when 4762 is divided by 2324. 114 What is the remainder when 5089 is divided by 566? 561 Calculate the remainder when 11514 is divided by 667. 175 What is the remainder when 1465 is divided by 296? 281 Calculate the remainder when 2543 is divided by 281. 14 What is the remainder when 777 is divided by 206? 159 What is the remainder when 51404 is divided by 208? 28 What is the remainder when 183259 is divided by 111? 109 What is the remainder when 578226 is divided by 4? 2 What is the remainder when 551112 is divided by 19? 17 Calculate the remainder when 39189 is divided by 175. 164 What is the remainder when 35712 is divided by 102? 12 Calculate the remainder when 8392 is divided by 226. 30 Calculate the remainder when 46793 is divided by 74. 25 What is the remainder when 164470 is divided by 164451? 19 What is the remainder when 3938 is divided by 1930? 78 Calculate the remainder when 5048 is divided by 169. 147 Calculate the remainder when 122597 is divided by 278. 277 What is the remainder when 23537 is divided by 3362? 3 Calculate the remainder when 30665 is divided by 301. 264 Calculate the remainder when 138166 is divided by 159. 154 Calculate the remainder when 6754 is divided by 113. 87 Calculate the remainder when 2104 is divided by 576. 376 Calculate the remainder when 68986 is divided by 431. 26 What is the remainder when 17548 is divided by 56? 20 Calculate the remainder when 37038 is divided by 37036. 2 What is the remainder when 2339 is divided by 639? 422 What is the remainder when 3217 is divided by 489? 283 Calculate the remainder when 140952 is divided by 184. 8 What is the remainder when 3980 is divided by 6? 2 What is the remainder when 4807 is divided by 4665? 142 Calculate the remainder when 4375 is divided by 57. 43 Calculate the remainder when 822 is divided by 704. 118 Calculate the remainder when 1450 is divided by 243. 235 What is the remainder when 484784 is divided by 21? 20 What is the remainder when 1673 is divided by 113? 91 What is the remainder when 10233 is divided by 3409? 6 What is the remainder when 4044 is divided by 337? 0 Calculate the remainder when 1444 is divided by 410. 214 Calculate the remainder when 16846 is divided by 16. 14 What is the remainder when 12715 is divided by 476? 339 Calculate the remainder when 9882 is divided by 73. 27 Calculate the remainder when 1635 is divided by 26. 23 Calculate the remainder when 70871 is divided by 188. 183 What is the remainder when 91136 is divided by 329? 3 Calculate the remainder when 26076 is divided by 29. 5 What is the remainder when 2369 is divided by 1181? 7 Calculate the remainder when 10004 is divided by 279. 239 Calculate the remainder when 5765 is divided by 261. 23 Calculate the remainder when 733911 is divided by 26. 9 What is the remainder when 9066 is divided by 1613? 1001 Calculate the remainder when 2309 is divided by 148. 89 What is the remainder when 13594 is divided by 189? 175 Calculate the remainder when 208140 is divided by 69378. 6 Calculate the remainder when 2418 is divided by 19. 5 What is the remainder when 22463 is divided by 439? 74 What is the remainder when 108173 is divided by 21629? 28 Calculate the remainder when 14480 is divided by 2890. 30 What is the remainder when 36104 is divided by 17786? 532 Calculate the remainder when 180 is divided by 85. 10 Calculate the remainder when 3590909 is divided by 64. 61 What is the remainder when 322697 is divided by 100? 97 Calculate the remainder when 25762 is divided by 280. 2 Calculate the remainder when 204328 is divided by 15. 13 What is the remainder when 21801 is divided by 46? 43 Calculate the remainder when 37485 is divided by 46. 41 Calculate the remainder when 2207 is divided by 1366. 841 Calculate the remainder when 737 is divided by 54. 35 What is the remainder when 5435 is divided by 1? 0 What is the remainder when 3708 is divided by 1152? 252 What is the remainder when 37243 is divided by 16? 11 What is the remainder when 286827 is divided by 62? 15 Calculate the remainder when 66094 is divided by 159. 109 What is the remainder when 3127482 is divided by 398? 396 What is the remainder when 110650 is divided by 36874? 28 Calculate the remainder when 4991 is divided by 116. 3 What is the remainder when 180364 is divided by 25765? 9 What is the remainder when 9797 is divided by 24? 5 Calculate the remainder when 25871 is divided by 132. 131 Calculate the remainder when 30464 is divided by 3384. 8 What is the remainder when 24393 is divided by 87? 33 Calculate the remainder when 2092 is divided by 523. 0 What is the remainder when 2222 is divided by 329? 248 What is the remainder when 3987 is divided by 365? 337 What is the remainder when 1483 is divided by 128? 75 Calculate the remainder when 369599 is divided by 33. 32 What is the remainder when 25486 is divided by 374? 54 Calculate the remainder when 249395 is divided by 447. 416 What is the remainder when 20036 is divided by 13? 3 Calculate the remainder when 65079 is divided by 32526. 27 What is the remainder when 22196 is divided by 15? 11 Calculate the remainder when 131225 is divided by 131205. 20 Calculate the remainder when 19078 is divided by 136. 38 Calculate the remainder when 1694151 is divided by 564708. 27 What is the remainder when 4275 is divided by 252? 243 What is the remainder when 8155 is divided by 836? 631 Calculate the remainder when 958 is divided by 59. 14 What is the remainder when 14271 is divided by 25? 21 Calculate the remainder when 9183 is divided by 100. 83 Calculate the remainder when 1820 is divided by 708. 404 Calculate the remainder when 380281 is divided by 18108. 13 Calculate the remainder when 10070 is divided by 146. 142 Calculate the remainder when 1903 is divided by 416. 239 What is the remainder when 3046 is divided by 1512? 22 What is the remainder when 109956 is divided by 491? 463 Calculate the remainder when 22271 is divided by 87. 86 Calculate the remainder when 59300 is divided by 120. 20 Calculate the remainder when 18242 is divided by 110. 92 Calculate the remainder when 15002 is divided by 14979. 23 What is the remainder when 76842 is divided by 205? 172 What is the remainder when 56103 is divided by 362? 355 What is the remainder when 26856 is divided by 363? 357 What is the remainder when 20173 is divided by 144? 13 What is the remainder when 1269 is divided by 299? 73 Calculate the remainder when 6007 is divided by 5951. 56 What is the remainder when 835282 is divided by 564? 562 Calculate the remainder when 8350441 is divided by 893. 891 Calculate the remainder when 4197109 is divided by 79. 76 Calculate the remainder when 1801 is divided by 571. 88 What is the remainder when 17508 is divided by 674? 658 Calculate the remainder
{ "pile_set_name": "DM Mathematics" }
g(k) = -6*k - 26. Determine g(-14). 58 Let a(m) = -3*m**2 - 110*m + 41. What is a(-37)? 4 Let l(j) = 4*j**2 - 3*j + 1. Give l(2). 11 Let g(t) = t**2 - 20*t - 21. What is g(22)? 23 Let u(o) = -o**3 + 9*o**2 - 13*o + 1. What is u(7)? 8 Let t(l) = l**3 - 29*l**2 + 28*l - 81. Calculate t(28). -81 Let j(g) = g**3 + 11*g**2 - 26*g - 2. Give j(-13). -2 Let l(d) = d**2 - 50*d - 213. Give l(54). 3 Let b(y) = -y**3 + 11*y**2 - 2*y + 6. Determine b(11). -16 Let c(t) = t**3 + 56*t**2 + 56*t + 59. Determine c(-55). 4 Let r(c) = -c**3 - 4*c**2 + 9*c + 5. Calculate r(-6). 23 Let o(l) = l**2 + 19*l - 23. What is o(-19)? -23 Let r(p) = 26*p + 18. Calculate r(-6). -138 Let s(k) = 11*k - 156. Determine s(12). -24 Let z(q) = 29*q**2 - q - 1. What is z(-1)? 29 Let u(z) = -95*z - 1524. Determine u(-16). -4 Let z(m) = -m**2 + 29*m + 65. What is z(31)? 3 Let q(d) = -d**2 + d + 8. What is q(7)? -34 Let g(u) = 12*u - 25. What is g(8)? 71 Let s(l) = -l**3 + 20*l**2 - 39*l - 26. Calculate s(18). -80 Let g(c) = c**3 + 3*c**2 - 18*c + 2. Give g(-6). 2 Let b(s) = -4*s + 2. What is b(1)? -2 Let u(f) = 28*f + 1089. Give u(-39). -3 Let x(f) = -f**2 - 6*f + 11. Determine x(-7). 4 Let x(m) = -8*m + 3. Determine x(-4). 35 Let j(n) = -15*n - 52. What is j(-3)? -7 Let s(n) = 60*n - 303. What is s(5)? -3 Let h(q) = -10*q + 56. What is h(7)? -14 Let d(a) = -a**2 - 11*a - 14. Give d(-8). 10 Let s(u) = -4*u - 13. Calculate s(-4). 3 Let y(t) = 21*t**3 + 2*t**2 - 3*t + 1. Give y(1). 21 Let n(a) = a**3 - 7*a**2 - 10. What is n(7)? -10 Let h(u) = -2*u**2 + 25*u - 83. Determine h(8). -11 Let a(m) = -m**2 + 19*m - 58. Give a(12). 26 Let c(a) = a**2 + 9*a + 13. What is c(-7)? -1 Let h(j) = j**2 - 7*j - 5. Determine h(7). -5 Let l(o) = -o**3 + 9*o**2 - 20*o + 6. Determine l(6). -6 Let x(d) = 3*d - 7. Determine x(6). 11 Let n(l) = 2*l**2 + 8*l + 12. Determine n(-3). 6 Let x(d) = -d - 2. Give x(11). -13 Let r(t) = -4*t - 15. Give r(-7). 13 Let i(l) = -2*l - 3. Calculate i(-4). 5 Let p(b) = -b**3 + 9*b**2 - 6*b - 12. What is p(8)? 4 Let j(i) = i**3 + 10*i**2 + i - 6. What is j(-9)? 66 Let q(g) = 8*g - 8. Determine q(3). 16 Let d(b) = 12*b - 67. Give d(6). 5 Let v(y) = 3*y + 21. Calculate v(-5). 6 Let b(l) = -l**2 - 2*l + 4. Determine b(3). -11 Let p(b) = 2*b**2 + 7*b - 5. What is p(-6)? 25 Let k(i) = 3*i**3 - 3*i**2 + 2*i - 2. Determine k(2). 14 Let u(c) = c + 1. Give u(-7). -6 Let a(b) = 7*b - 154. What is a(18)? -28 Let a(z) = -z**3 - 13*z**2 - 6*z + 78. Give a(-12). 6 Let z(p) = -p**3 - 9*p**2 - 12*p - 16. Calculate z(-8). 16 Let y(f) = 6*f - 14. Determine y(3). 4 Let n(t) = t**2 + 18*t + 47. What is n(-13)? -18 Let f(h) = -2*h**3 + 16*h**2 - 13*h - 5. What is f(7)? 2 Let l(g) = g**3 - 6*g**2 - 7*g - 5. Calculate l(7). -5 Let i(g) = 3*g + 28. Calculate i(-9). 1 Let n(o) = o**3 + 7*o**2 + 5*o - 4. Calculate n(-6). 2 Let j(i) = 4*i - 25. What is j(17)? 43 Let n(r) = -r**2 - 13*r + 26. Calculate n(-15). -4 Let j(a) = -a**2 + 2*a. Calculate j(-5). -35 Let j(y) = y**3 + 4*y**2 - y + 5. Determine j(-4). 9 Let f(t) = -32*t**3 + t**2 + 4*t + 2. What is f(-1)? 31 Let z(d) = -d**3 + 13*d**2 + 48*d - 7. What is z(16)? -7 Let t(g) = -g**2 + 20*g - 26. Calculate t(17). 25 Let k(j) = 5*j. Determine k(-2). -10 Let b(r) = 12*r - 87. Determine b(8). 9 Let c(p) = -p**3 - 3*p**2 + 4*p + 11. Give c(-2). -1 Let x(i) = 4*i + 4. Calculate x(-3). -8 Let k(n) = 2*n + 10. Give k(12). 34 Let f(g) = g**2 + 12*g + 3. Determine f(-12). 3 Let j(c) = c**3 + 15*c**2 + 13*c - 18. Calculate j(-14). -4 Let z(k) = -k**2 + 7*k + 5. What is z(6)? 11 Let x(l) = -8*l**3 - 2*l**2 - 3*l - 2. What is x(-1)? 7 Let n(y) = -2*y - 12. Give n(3). -18 Let q(s) = -9*s**2 - 6*s + 5. What is q(2)? -43 Let y(a) = -4*a + 51. Give y(11). 7 Let x(o) = o**2 - 9*o - 35. Determine x(12). 1 Let p(a) = -2*a**2 + a - 1. Calculate p(1). -2 Let u(g) = -g**3 + g**2 + g - 2. Calculate u(0). -2 Let m(c) = -c**2 - c - 12. Give m(-4). -24 Let k(x) = 3*x - 5. Calculate k(0). -5 Let t(j) = j**2 - 3*j + 8. Determine t(5). 18 Let n(d) = -d**3 + 16*d**2 + 16*d - 24. Determine n(17). -41 Let y(d) = d**3 - 4*d**2 - d + 2. Calculate y(5). 22 Let g(d) = 9*d**3 + 4*d + 2. Determine g(-1). -11 Let z(i) = -i**3 - 3*i**2 - 5*i - 7. Calculate z(-2). -1 Let r(z) = z**3 - 13*z**2 - 25*z + 146. What is r(14)? -8 Let z(k) = -k**3 + 13*k**2 - 6*k + 7. Give z(11). 183 Let g(n) = -n**2 - 7*n - 12. Calculate g(-7). -12 Let o(g) = 85*g + 3. Determine o(-1). -82 Let w(q) = q - 25. Calculate w(5). -20 Let t(g) = -3*g + 67. Calculate t(-8). 91 Let n(z) = -z**3 - z + 7. Calculate n(0). 7 Let f(t) = -t**3 - 18*t**2 - 13*t - 4. What is f(-17)? -72 Let w(q) = -3*q - 5. Calculate w(5). -20 Let f(z) = -34*z**2 + z. What is f(-2)? -138 Let n(y) = -14*y + 66. Give n(7). -32 Let o(k) = k**3 - 6*k**2 - 2*k - 6. Determine o(6). -18 Let u(n) = -n**3 + 14*n**2 - 14*n + 18. Determine u(13). 5 Let m(l) = -4*l**3 + 2*l**2 - l. Determine m(2). -26 Let v(h) = h - 2. Determine v(8). 6 Let q(b) = b**2 + 26*b + 45. What is q(-23)? -24 Let w(z) = 2*z + 25. Give w(-16). -7 Let w(a) = -a + 19. Calculate w(14). 5 Let t(s) = -s - 10. What is t(-3)? -7 Let o(p) = -116*p - 1508. Calculate o(-13). 0 Let n(o) = 4*o + 22. What is n(-7)? -6 Let l(k) = k**3 - 9*k**2 - 4*k - 60. What is l(10)? 0 Let x(i) = 15*i**3 - 3*i**2 - 3*i - 1. What is x(-1)? -16 Let h(k) = k**3 - 7*k**2 - 8*k - 8. Determine h(8). -8 Let z(x) = -x**3 - 6*x**2 + 4*x - 24. Give z(-7). -3 Let u(s) = -41*s. What is u(-1)? 41 Let f(u) = 2*u**2 - 5*u + 14. Determine f(0). 14 Let n(p) = p - 9. Determine n(6). -3 Let f(b) = 3*b**2 - 21*b - 8. Determine f(7). -8 Let l(w) = 3*w + 30. Determine l(-5). 15 Let c(t) = t**2 - 27. What is c(5)? -2 Let d(m) = -m**2 + 11*m - 29. Give d(4). -1 Let n(p) = -9*p - 250. Calculate n(-30). 20 Let j(l) = -l**2 - 9*l + 10. Determine j(-8). 18 Let q(m) = 8*m + 163. What is q(-21)? -5 Let r(o) = o + 18. What is r(-8)? 10 Let j(b) = b**3 + 18*b**2 - 18*b - 19. Determine j(-19). -38 Let v(z) = z**2 - 17*z - 3. What is v(17)? -3 Let d(f) = -10*f - 19. Calculate d(12). -139 Let s(l) = -l - 26. Give s(-2). -24 Let t(l) = -2*l**2 - 36*l - 80. Determine t(-15). 10 Let p(y) = 6*y**2 + y - 8. What is p(2)? 18 Let r(a) = -a**3 + 23*a**2 - 22*a + 90. Give r(22). 90 Let u(o) = 7*o - 20. Calculate u(9). 43 Let d(x) = -6*x + 6. Determine d(4). -18 Let o(q) = -q**3 - q**2 - q + 14. Determine o(0). 14 Let c(x) = -x - 23. Calculate c(-6). -17 Let l(y) = -y**3 + 15*y**2 + 15*y + 7. Determine l(16). -9 Let m(y) = 48*y + 883. Calculate m(-18). 19 Let h(f) = f**3 - 21*f**2 - 48*f + 38. What is h(23)? -8 Let w(u) = u + 21. Determine w(0). 21 Let g(a) = -a - 7. Determine g(0). -7 Let d(g) = g**3 + 4*g**2 - 12*g + 4. Give d(-6). 4 Let y(o) = 38*o - 94. What is y(3)? 20 Let q(b) = 8*b**2. Determine q(-1). 8 Let j(r) = 3*r**3 + 10*r**2 - 8*r + 5. Calculate j(-4). 5 Let d(a) = -2*a**2 - 2*a + 27. What is d(-5)? -13 Let r(h) = -2*h**2 - 3*h + 2. Calculate r(-4). -18 Let d(i) = -4*i - 4. Determine d(5). -24 Let z(p) = 4*p - 6. Calculate z(-4). -22 Let y(c) = c + 14. Give y(-15). -1 Let p(d) = d**2 + 11*d + 9. Determine p(-10). -1 Let x(r) = r**2 + r - 10. What is x(0)? -10 Let x(j) = -j - 3. Calculate x(1). -4 Let b(o) = -o**3 - 9*o**2 + 4*o - 58. Calculate b(-10). 2 Let j(k) = 5*k + 60. What is j(-10)? 10 Let r(s) = -s**3 - 6*s**2 + 7*s - 6. Give r(-7). -6 Let f(w) = w**2 + 22*w - 49. What is f(-24)? -1 Let j(o) = -3*o**2 + 8*o - 9. What is j(4)? -25 Let k(v) = v**2 - 3*v - 7. Give k(0). -7 Let c(i) = 11*i**2 + 5*i + 2. Give c(-1). 8 Let o(x) = 2*x**2 + 12*x - 134. What is o(7)? 48 Let s(c) = c + 41. Calculate s(-10). 31 Let c(y) = -y**3 - 12*y**2 - y + 12. Determine c(-12). 24 Let y(d) = -2*d**2 - 7*d - 4. What is y(-4)? -8 Let i(l) = -4*l + 12. Calculate i(12). -36 Let n(x) = -33*x - 39. Give n(3). -138 Let w(m) = -m**3 - m**2 + 7. Determine w(-2). 11 Let l(y) = -y**2 - 2. What is l(-2)? -6 Let g(l) = 14*l + 106. Calculate g(-8). -6 Let j(l) = -6*l - 7. Determine j(-5). 23 Let t(f) = -6*f**2 + 7*f - 7. What is t(3)? -40 Let a(c) = 7*c + 38. Give a(20). 178 Let c(k) = -48*k + 14. What is c(3)? -130 Let t(d) = -d**3 - 13*d**2 - 4*d - 22. Calculate t(-13). 30 Let p(x) = x**3 - 13*x**2 - 16*x + 18. Calculate p(14). -10 Let h(u) = u**3 + 13*u**2 - 14*
{ "pile_set_name": "DM Mathematics" }
2/39 Evaluate (-1 - 11)/72*(-2 + -1*4). 1 Evaluate (8/12)/((-51)/1071). -14 4 + 95/(-20) + 1 - (-33)/(-4) -8 Evaluate (12155/7293)/(5/42). 14 What is (-16)/(64/(-28)) + 0? 7 What is the value of 3552/11655 + 4/(-10) + (-363)/(-63)? 17/3 What is the value of ((-2)/25)/(((-1302)/(-7440))/((-7)/(-2)))? -8/5 Calculate 0 + 36/(-99) - 760/88. -9 What is (-20)/45*486/36? -6 Evaluate (-16)/(-12) - (-1353)/99. 15 What is (-28)/126 - ((-6)/(-81))/((-6)/2124)? 26 52/156 - 100/156 -4/13 186/(-2325) + 43/225 1/9 What is 20/((-21600)/(-645)) + 4/(-18)? 3/8 What is the value of 12/14*(-224)/1344? -1/7 (-17024)/1216 - (0 + (-484)/34) 4/17 What is the value of (76 - 30) + 10 + (-10 - 12)? 34 What is ((-33)/3 - 3)/(174/(-174))? 14 ((-1)/(-3) - (-7)/(-21)) + (-8)/(-8) 1 What is the value of (-584)/(-26) - (-378 - -400)? 6/13 What is 33*-1*18/(-30)*(-105)/(-189)? 11 What is the value of (16 + 8504/(-532))/(((-10)/14)/(-5))? 2/19 Calculate (-23)/(2185/(-90)) + ((-5)/(-1) - 6). -1/19 What is the value of ((8 + -8)/2)/(0 + 7)? 0 Calculate (10*(-8)/(-20) + (-93)/18)*-6. 7 Evaluate (-176)/(-63) - (1040/(-140) + 8). 20/9 Evaluate 3/209 + (-249)/(-2739). 2/19 What is 489/(-652)*4/9 - 68/(-96)? 3/8 Calculate -13*(-64)/5928*(3/4)/1. 2/19 What is the value of (8/32*-8 - -14) + 11? 23 What is the value of -32 + ((-436)/545)/((-1)/10)? -24 Evaluate (-285)/(-456)*(4 + (-4 - -2)). 5/4 Calculate 4/28*-2*6/(-6 - -3). 4/7 (111 - 80) + (60/(-6) - 3) 18 What is the value of ((-21)/(-14))/(5/10*39/(-2))? -2/13 Calculate 5 - ((-558)/(-310))/(6/(-20)). 11 Calculate (-15)/10 + 44/(-11). -11/2 Calculate (63/(-4) - -6) + ((-168)/32)/21. -10 What is the value of 36/324*(0 - 4)? -4/9 Calculate ((-2)/6*-3)/(2*(-4)/(-56)). 7 Calculate (-491)/(-5892)*20/1. 5/3 What is 715/33 - 260/30? 13 What is the value of -3 - ((-2 - -11) + -18)? 6 Evaluate ((-4)/(-16) - 6/8)/(1647/(-55998)). 17 What is (28/(-42))/((-102)/(-18) - 3)? -1/4 (-16)/24 - 1*212/(-300) 1/25 Evaluate 70/(-525)*(-1 - 23 - 48/32). 17/5 What is the value of (-2)/(-27)*282 + 12*(-9)/(-972)? 21 ((-122)/(-792) + 8/(-44))/(8/16) -1/18 Evaluate (1 + -1 - 29) + -25*21/(-105). -24 5*-2 - 16/((-56)/14) -6 What is 362/(-34) - 5334/15113? -11 Calculate 6/318 - (-2564)/(-1060). -12/5 Evaluate (-27)/15 + (168/(-15) - -11). -2 What is -57 + (-8107)/(-134) - 82/(-4)? 24 (-7696)/592 + 87/6 3/2 What is 11*2 - -1*(-20)/(300/165)? 11 Evaluate (215/86)/((-10)/(-8)). 2 Evaluate (9/(-15))/(4 - (-522)/(-90)). 1/3 -34 + 19 + 37 - (9 - (1 + 0)) 14 What is 75/(-60)*(-44)/990? 1/18 What is 1/4*-96*(14 - (-145)/(-10))? 12 What is the value of (20/14*-3)/((-2712)/6328)? 10 Evaluate (((-2128)/(-342))/(-28))/((-4)/(-18)*-1). 1 What is the value of (10 - (-2 - -3)) + -13 + 46 + -54? -12 (330/(-3465))/(4/18*-3 - -1) -2/7 What is (12/(-21))/(1 + (-10 + 3)/(-7))? -2/7 ((78/(-4))/(-39))/(((-140)/(-8))/7) 1/5 What is -23 - -27 - 110/(-33)*(-9)/2? -11 What is the value of (-232)/(-14) - (-8)/(-4) - (-351)/819? 15 (-2 - 14/(-4)) + (-51)/(-24) + -4 -3/8 What is (2336/(-224) - (-11 - 0))/(-2 + 1)? -4/7 Calculate 0 + 4/38 + 84/5472*-15. -1/8 -11*(-8 - 6710/(-847))*-7 -6 Evaluate 76/(-40) + (-54)/(-36). -2/5 Calculate 1372/105 + 5*(-5)/375. 13 Calculate -3 + 2 - (-31)/31. 0 Calculate 3628/13605 - 274/15. -18 Calculate -10 + 24 - (-775)/(-55). -1/11 Evaluate -6 - ((2 - 15) + 12). -5 (15/((-525)/14))/(5/(100/(-32))) 1/4 3/(-4) + 1040/2240 -2/7 Evaluate 110*2/32*19/((-1520)/(-32)). 11/4 What is (-13 + 5 + 8)/(-3)? 0 What is the value of (-1*9)/((-23)/(1012/12))? 33 Evaluate (-4)/30*(3 + (-20)/8). -1/15 Evaluate (7 - (-16)/(-4))*-1 + 1. -2 What is (-1428)/(-37842) - 180/1961? -2/37 What is 8*(-259)/(-222) - (-1 + 7)? 10/3 What is the value of 99/(-27)*12*(-2)/8? 11 What is the value of 30/(-4)*(-1660)/(-1245)? -10 Evaluate ((-5)/(-3))/(7/42)*6/(-4). -15 What is ((-348)/203)/(2 + (-26)/28)? -8/5 What is the value of (106/(-2597))/((-1)/14) + 18/(-7)? -2 What is the value of (-936)/(-3276) - ((-93)/(-7) - -1)? -14 1*(4*2/14 + (-10528)/2303) -4 Calculate -10 - (-22 + -4 + -1). 17 Evaluate ((-20)/12)/((25 - 21) + (-52)/12). 5 What is 4532/374 - (-34)/(-289)? 12 85/8*4/5 + -9 -1/2 2/17 + (-2075)/(-425) 5 What is ((-3)/10)/((-66)/55)? 1/4 (6877/3703)/((-1)/14) -26 (238/(-28) - -6)/((-10)/48) 12 What is 3/(12/8) + (-55)/((-275)/180)? 38 What is the value of (1 + -4 + 6)*(-4)/12? -1 Evaluate (-9)/3 + -17 + 12 + (-146)/(-18). 1/9 Evaluate ((-13)/(-130))/(2/(-3) - 93/(-126)). 7/5 Evaluate ((-1200)/90 + 14)*(-3)/23. -2/23 Evaluate 12*(-1 + 2 + 320/(-256)). -3 Evaluate (-1384)/270 + ((-114)/(-1767) - (-232)/(-1674)). -26/5 What is the value of (7/3)/(1197/684)? 4/3 What is the value of (60/1500)/((-13)/(-25))? 1/13 What is the value of (((-16)/(-6))/(-2))/((-4760)/2142)*-1? -3/5 Evaluate 250/(-150)*21/175. -1/5 What is 75/10*(-12)/72? -5/4 What is (49/56 - 24/64)/((-1)/2)? -1 Calculate 275/(-25)*(-30)/(-10). -33 Evaluate (-3379)/654 + 28/6. -1/2 Calculate ((-36)/(-108))/((-87)/18). -2/29 Calculate ((-10)/14)/(257/(-1799)). 5 What is the value of ((-4)/64*-24)/(9/(-78))? -13 What is (120/(-14))/((-66)/77) - (2 + 23)? -15 Evaluate 28 + (10/14)/(13 - (-630)/(-49)). 33 Evaluate (-255)/34 - 16/(-24)*9/4. -6 What is the value of (-540)/288 - (-21)/14? -3/8 Evaluate (-7 - (-384)/56)*(2 + 1 + -1). -2/7 What is the value of 2*(-3)/(-100)*156/(-117)? -2/25 0*((-2)/((-48)/20) - 1) 0 Evaluate -9 - 7*2/(-14). -8 Evaluate ((-36)/(-32))/((-1248)/(-6656)). 6 Calculate ((-162)/(-95) - (-70)/175) + -2. 2/19 Calculate (25/((-400)/(-352)))/(-2). -11 What is the value of ((-1)/2)/(100/(-480)*16/100)? 15 What is the value of 1/(-11*(-323)/374)? 2/19 (-7)/(-3) + 6/(-21)*294/126 5/3 Evaluate 3/(-10) + 666/(-555). -3/2 What is the value of (-13 + 0)/(13/(14 - 1))? -13 (60/(-3120))/(5/(-80)) 4/13 Calculate 12/(-4)*264/924. -6/7 Calculate (-10)/(-66)*4/10 + 1475/165. 9 Calculate (84/72)/(-2 + (-52)/(-24)). 7 Calculate (((-30)/(-9) - 3)/1)/((-83)/(-5976)). 24 13/(5642/(-28)) - (-87)/(-93) -1 Calculate ((-68)/136)/(1*(-2)/(-24)). -6 What is the value of ((-56)/(-35))/((-132)/165)? -2 Calculate (26 + -1)/(155/(-25)) - (536 + -540). -1/31 Evaluate ((2/(-20))/(5/30))/((-93)/(-1395)). -9 (2 - -3) + (-140)/30 - 0 1/3 What is the value of 6*((-264)/18 - -15)? 2 What is 9 - ((-2139)/(-198) - (5 - 174/36))? -18/11 Evaluate -5 + ((-483)/21 - -20) + (-48)/(-9). -8/3 What is (-216)/(-90)*30/(-9) - -7? -1 What is the value of -3 + (6/(-15))/((-4)/(-10)) + 7? 3 Evaluate (-240)/(-288) - 814/780 - 2/(-15). -1/13 Calculate (64/(-14))/((-512)/(-1792)). -16 What is the value of 6*(16 + (-1157)/78)? 7 Calculate 2310/195 + 4*-3*(-1)/78. 12 (-150)/(-125) - (-54)/5 - 8 4 Calculate (-2343)/123 + (-43)/(8815/(-10)). -19 What is 2/3*207/(-2967)? -2/43 8 - (31 - (-26720)/(-1160)) 1/29 (-1 + 8/6)/((-706)/4236) -2 (3724/95 + -41)*(-10)/(-6) -3 What is the value of 0/6 - (36/(-78))/1? 6/13 Calculate ((-17)/(-34))/(30/24*-2). -1/5 What is 5/130 + 3519/442? 8 Calculate 2589/6904 + (-1 - 37/(-8)) + -26. -22 What is (-8)/3*12/16? -2 Evaluate (13 - 0)*(-12)/13. -12 What is the value of ((-39)/(-12))/(135/(-696) - 90/(-1305))? -26 What is 833/(-91) + (-1)/(-1)*9? -2/13 What is 12 + -26 + (10 + -44)/17? -16 -12 + 15/120 + -3 + (-220)/(-32) -8 What is the value of 258/37 + (25 - 1632/51)? -1/37 Calculate 171/(-36)*-4 - 6*10/(-20). 22 Calculate 3/891*-11 - (-12)/(-162). -1/9 Calculate 1*1/(-5)*-25 - -6. 11 What is (12/(-27))/(-4) + 5390/495? 11 Calculate (24/14)/(-6 + (-1025)/(-175)). -12 Calculate 2*(-11)/(-44)*-66 - -14. -19 What is the value of 10/55*(1914/9)/(-29)? -4/3 What is the value of 47/(235/(-10)) + 3*(-3)/(-6)? -1/2 Evaluate (-1 + 3/2 + -2)/((-161)/322). 3 What is (-25 + (-3596)/(-145))/((-1)/95)? 19 (-2688)/105 + 90/25 -22 Calculate (-50)/75*45/10. -3 (-36)/(-378) + (-20)/(-35) 2/3 What is 3/6*0 - (-134 - -121)? 13 What is the value of (-1056)/(-594) - (-8)/(-90)*45/(-18)? 2 What is the value of (-22 - -71 - 27) + -5? 17 What is the value of (-19 - -1)/(-136 - -103)? 6/11 What is the value of ((-51)/(-306))/((-4)/(-12))? 1/2 What is the value of (259/(-74) - 16/4)/((-2)/4)? 15 ((-444)/(-185))/(3/3 + 69/(-60)) -16 ((-17248)/(-3696))/(((-2)/(-12))/(2/(-8))) -7 What is the value of ((-1)/(-6))/((350/(-112))/(-25))? 4/3 Calculate -1 + 108/28
{ "pile_set_name": "DM Mathematics" }
q = -5*n + 751, -n + 3844 = 5*q + 89. Is q a composite number? False Suppose -429*n + 15681 = -426*n. Is n a composite number? False Suppose 184 = r - 3*a, -3*r + 2*a = -3*a - 548. Let f = 292 - r. Suppose 384 - f = 3*d. Is d composite? True Let q(s) = s**2 - 4*s - 3. Let b = -15 - -20. Let x be q(b). Suppose 8540 = 4*h + 3*w + 2653, -3*h = x*w - 4415. Is h a composite number? False Let t(g) = 23 - 37 - 5*g - 41*g. Is t(-10) composite? True Let p be -1*1 - 3/(-1). Suppose a + 410 = 3*c, -2*a = p*c + a - 277. Suppose -2*x = -2*l + 258, 0*l = -l + 5*x + c. Is l a composite number? False Let l(b) = 822*b - 11. Let q(v) = -8220*v + 111. Let n(t) = -21*l(t) - 2*q(t). Is n(-5) a composite number? True Let w(d) = 13*d**3 + 2*d**2 - 1. Let x be w(-1). Is -1905*(1 - x/(-9)) composite? True Let s(l) = 34*l**2 + l. Let o be s(1). Let u(z) = -z**2 - 12*z + 2. Let x be u(-12). Suppose -5*m + 20 + o = 4*y, 0 = 2*m + x*y - 20. Is m a prime number? False Suppose 3*p + 22 = 1. Let h(f) = f**3 + 7*f**2 - 2*f - 10. Let r be h(p). Suppose -n + y + 968 = 0, 0*y = -3*n + r*y + 2901. Is n a composite number? False Let x(z) = z**3 + 6*z**2 - 5*z + 9. Let v be x(-7). Is 0 - (-1)/(v/(-995)) a prime number? True Let j = 2224 + -483. Is j prime? True Suppose 878 = c - 5*i, -3*c + 4*i - i + 2658 = 0. Suppose c = 4*b - 780. Is b prime? False Let w(d) = 500*d + 1. Suppose -5*m + t + 2 = -6, 5*m = -2*t - 1. Let a be w(m). Let v = -356 + a. Is v a composite number? True Suppose 3*d = -3*b + 27, b = 5*d - 32 - 25. Suppose 5*y - 9 = d. Suppose y*q - 542 = -18. Is q a prime number? True Suppose -z + 3*o - o = -4, -z + 6 = -4*o. Suppose -z*r + 260 = 2*r. Is r a composite number? True Let v = 321 - 40. Let h = 540 - v. Is h prime? False Suppose 0 = -5*c - x + 2*x + 11, x = 4. Suppose 4*q - 3 - 17 = -4*z, 4*z - c*q - 20 = 0. Suppose 0 = z*r - 97 + 2. Is r prime? True Let n be (837/(-6))/(2 + 5/(-2)). Let t = -96 + n. Is t a composite number? True Let i(n) = 53*n**2 + 15*n - 65. Is i(18) composite? False Let c be 1/((-2)/(-10)) - 873/(-9). Suppose 3*b + 0*i - 72 = -3*i, -4*b = 5*i - 99. Let z = c + b. Is z a prime number? False Let i be 4716/9 + ((-6)/2)/(-3). Let n(q) = 16*q**2 - 2*q + 5. Let t be n(-5). Suppose 4*b + 244 = 5*v - t, -i = -4*v + b. Is v a prime number? True Suppose 0 = -4*p + 5*a + 5946, -2*a + 1249 = 2*p - 1715. Suppose 0*d - p = -4*d. Is d composite? True Let s be -2102*2*(-12)/6. Let x = s + -5947. Suppose 0*c = 3*a - c - x, a - 5*c = 811. Is a prime? True Let u be 1 + -20 + 3 - -2. Suppose 0 = 5*z - 210 + 65. Let n = z + u. Is n a composite number? True Let m be 5/(165/(-237)) - 2/(-11). Is (-496)/(-9 - m) + (3 - 0) a composite number? False Let f(z) = -z - 8. Let b be f(-10). Suppose b*k - 4*k = -154. Is k a prime number? False Let f(y) = -185*y - 36. Suppose -60*o = -57*o + 15. Is f(o) prime? False Suppose -3*i = -2*i + 8. Let x(c) = -10*c + 3 + 5*c**2 - 1 - 3*c**2 - 1. Is x(i) a composite number? True Is (-166384)/(-6) + -1 + (-244)/(-183) a composite number? True Suppose 4*m = 6*m. Suppose m*o + 3*o = 3297. Is o composite? True Let x be 20/(-70) - (-37)/7. Suppose -x*m = -2*c - 69, 0*m - 3*c - 6 = -m. Is m a prime number? False Let w = 227 + 11594. Is w composite? False Suppose 0*d + 5*d - 5*c - 3145 = 0, 3*d = -2*c + 1872. Suppose -7*l + 781 = -d. Is l a prime number? False Suppose -4*g + 3*g - 5880 = -4*l, 4*g = 5*l - 7350. Let y = -761 + l. Is y prime? True Suppose 2*f + 0*f = 4. Let m(q) = 15 + 49*q**f - 15. Is m(-1) prime? False Suppose -9*t + 20 = -16. Suppose t*z - w - 2248 = 0, 0*z + 4*w - 1142 = -2*z. Is z a composite number? False Suppose 2*c - v - 315 = 0, 0 = 2*c - 0*v - 3*v - 325. Let m = 46 + c. Is m composite? True Suppose w - 2*r = 15, w + 0 = -5*r + 1. Let b = w + -12. Let y(d) = -51*d. Is y(b) a prime number? False Suppose 0 = 2*n + 3*j - 7145, -8374 = -4*n + 5*j + 5905. Is n a prime number? True Suppose -99*u - 4885 = -104*u. Is u prime? True Let n(l) = 4141*l - 8. Is n(1) prime? True Let k(s) = -15*s**3 + 19*s**2 - 10*s - 1. Let u(a) = 8*a**3 - 9*a**2 + 5*a + 1. Let p(x) = -6*k(x) - 13*u(x). Is p(-3) a composite number? True Suppose -k = -f - 3*k + 128, 0 = 3*k - 15. Suppose -4*q - 4 = 0, 2*u - 2*q - 2*q + 94 = 0. Let y = u + f. Is y prime? False Let u = 3 - 3. Let g be (-5 - 8/4) + u. Is 14/g + (-1 - -1484) composite? False Let n = 8 + -11. Let c be ((-2)/n)/(4/852). Suppose 0 = -5*f + 432 - c. Is f a prime number? False Suppose 98*n = 93*n + 25. Suppose -19145 = -3*i + n*q, 2*q - 6*q - 6377 = -i. Is i a prime number? False Let b(z) be the first derivative of -83*z**2/2 - 24*z - 16. Is b(-19) a prime number? True Suppose -3*i - 2*i + 2*a + 16459 = 0, 0 = 4*a - 12. Is i a prime number? False Suppose 14*z = 8*z + 6042. Let g = 1716 - z. Is g composite? False Suppose 5*u - 10 = 0, -3*u + 5*u + 647 = 3*l. Is l composite? True Is (-191)/(2 + 1 - 4) a prime number? True Let i = 82 - 112. Let x = 104 + i. Is x a prime number? False Let l = 1034 - -509. Is l composite? False Let p(x) = -2*x**3 + 56*x**2 + 23*x + 41. Is p(24) composite? True Suppose -5*w + 2*i = 0, -i + 12 = w + i. Let f(r) = -r**2 + w - 56*r + 2*r**2 + 57*r. Is f(-8) a prime number? False Is (5/25)/((-1)/5)*-2371 composite? False Suppose -y + 4 = 0, 3*y - 7*y - 215 = -a. Suppose p - a = 1115. Is p composite? True Let o(p) be the second derivative of -44*p**3/3 - 13*p**2/2 - 25*p. Is o(-3) prime? True Suppose 8*v - 4*v = 4. Is (-1*(-784 - 9/3))/v a composite number? False Suppose -3*d = -4*s + 1143, 5*d = 3*s - 2*s - 273. Suppose -m + s = -5. Is m a composite number? False Let u be (34/1)/((-6)/(-141)). Let s(n) = -24*n + 10. Let i be s(21). Let r = u + i. Is r a composite number? True Let r be (-858)/(-15) + 2/(-10). Suppose 10 = -5*z, -2*w + w + 2*z = r. Let s = w - -120. Is s composite? False Suppose 2*w + 16 = -2*w, 2*w - 62425 = -3*p. Suppose 63*g - 66*g + p = 0. Is g a prime number? False Is 16 + -16 + -3 + 6506 composite? True Let d(p) = p**3 - 3*p**2 - 12*p - 2. Let x be d(9). Suppose 2*v - x = 646. Is v a prime number? False Suppose i - r - 39183 = 0, -19*i - 4*r = -14*i - 195897. Is i composite? False Let m(b) = -b**3 - 16*b**2 - 4*b - 11. Let a = -5 - -6. Let q be -40*a/15*6. Is m(q) a prime number? True Let o be (3/18)/((-7)/(-42)). Let i(y) = y**3 + y**2 + 1. Let k(v) = -5*v**3 - 7*v**2 - 5*v - 3. Let x(a) = o*k(a) + 4*i(a). Is x(-4) a composite number? False Let g = -5 - -9. Suppose 0 = -6*l + g*l - 4. Is 10/15*(-57)/l a composite number? False Suppose 0 = -5*o + 20 - 5. Suppose -k + 3*p - 8*p + 241 = 0, -o*k + 747 = 3*p. Is k composite? False Let l = -44 - -30. Let i = 14 + l. Is (7 - 3) + (i - -253) composite? False Let y(f) = -f + 4. Let z be y(3). Let c(o) = 2*o**3 + 1. Let i be c(z). Suppose -2*l + 7*l - 1550 = i*d, -1248 = -4*l + 4*d. Is l a composite number? False Let g(l) = -l**3 + 2*l**2 + 5*l + 1. Let v(s) = -s**3 - 8*s**2 + 10*s + 5. Let a be v(-9). Let y be g(a). Is y/(1/(-3 + 4)) composite? True Suppose 0 = 20*j - 88081 - 158379. Is j a composite number? False Is 6/(-12) + 192801/14 prime? False Suppose 0 = g - 2 - 3. Suppose -g*d = -d - 56. Is 3098/d - 4/14 a prime number? False Suppose 2*d - 6*d = 4*r, 5*r + 6 = d. Is d*355 - (-4)/(-2) a prime number? True Suppose -32095 = 5*f + 5*o, 3*f + 27992 - 8714 = 4*o. Let s = 12489 + f. Is s composite? False Let k = 33074 + 16335. Is k composite? False Suppose -3 = -3*y, -n + 4*n = 2*y + 31420. Let d = n + -6827. Is d composite? True Let y(m) = m**3 - 6*m**2 - 24*m + 18. Is y(13) composite? True Let s(p) be the first derivative of p**3/3 - 2*p**2 - 2*p + 1. Let v be 4/(-14) - (-407)/77. Is s(v) a prime number? True Let k(s) = 84*s + 2 - 4 + 50*s - 44*s. Let r be k(7). Suppose -5*q - 782 = -2*t, 2*q = -3*t - r + 1763. Is t a composite number? True Suppose -t - 3*t - 5*q - 25 = 0, -20 = -5*t + 4*q. Let s be (-2 - t) + 3 + -13. Is -134*-2*(-3)/s composite? False Let n = 38 + -27. Suppose -116 = -6*o - 92. Is (n - o)*(-3 + 5) a composite number? True Suppose -9*y + 16301 = -16414. Is y a composite number? True Let p(s) = s**3 + 10*s**2 + 9*s + 1. Let x be p(-9). Let h be (-5 + 2)*x + -10. Let r = 27 + h. Is r a prime number? False Let w(c) = 7*c**2 - 3*c + 29. Is w(15) a composite number? False Let b(y) = 3*y
{ "pile_set_name": "DM Mathematics" }
*h**2 - 261*h - 3566. What is t(-13)? -173 Let u(j) = -1052*j**3 + 2*j**2 - 26*j + 24. Determine u(1). -1052 Let x(v) = -387*v**2 - 8320*v - 11606. What is x(-20)? -6 Let r(q) = -2*q**3 - 86*q**2 + 269*q - 148. Determine r(-46). 174 Let y(a) = 7*a**3 - 601*a**2 - 80*a - 535. What is y(86)? -19 Let w(f) = f**3 + 189*f**2 + 6683*f + 478. Calculate w(-47). 55 Let y(x) = -2*x**3 + 318*x**2 - 72*x + 11284. Determine y(159). -164 Let f(l) = -96624*l - 386403. Give f(-4). 93 Let w(z) = -24*z**3 - 10*z**2 + 39*z + 108. What is w(-2)? 182 Let z(y) = 13*y**2 - 137*y - 11837. What is z(-25)? -287 Let m(x) = x**2 + 662*x - 16429. Calculate m(24). 35 Let k(c) = -2*c**2 - 64*c + 4848. What is k(38)? -472 Let l(c) = -2*c**3 - 3*c**2 + 34*c + 72. Give l(-2). 8 Let b(o) = -89*o**3 - 31*o**2 + 39*o + 76. Determine b(-2). 586 Let n(c) = c**3 - 206*c**2 + 625*c - 3284. Give n(203). -36 Let t(a) = 1362*a - 34725. Give t(26). 687 Let h(x) = -2*x**3 - 336*x**2 + 1760*x + 5117. Calculate h(-173). -73 Let a(o) = -4*o**2 + 342*o + 974. Give a(82). 2122 Let q(j) = j**3 + 2*j**2 - 637*j + 4069. What is q(7)? 51 Let v(c) = c**3 - 3*c**2 + 36*c + 10. Determine v(0). 10 Let h(d) = 15672*d**2 + 109756*d - 25. Calculate h(-7). -389 Let y(r) = -758*r - 4634. What is y(-3)? -2360 Let a(w) = 2*w**3 - 56*w**2 + 29*w + 657. Determine a(27). -18 Let r(w) = -2993*w + 19591. Determine r(7). -1360 Let a(r) = 579*r - 6072. Calculate a(11). 297 Let b(u) = u**3 + 359*u**2 + 1076*u + 2921. What is b(-356)? 73 Let i(o) = o**3 + 340*o**2 - 3769*o + 32268. Determine i(-351). -24 Let l(n) = 1265*n**2 - 168257*n + 1603. Calculate l(133). 7 Let r(p) = -8420*p**3 + 151561*p**2 - 19*p + 22. Calculate r(18). 4 Let g(k) = -k**3 + 69*k**2 + 1078*k - 1023. Determine g(82). -39 Let n(h) = -2*h**3 - 62*h**2 + 512*h + 992. Calculate n(8). 96 Let b(w) = -230388*w - 12210570. Give b(-53). -6 Let i(b) = -2*b**3 + 126*b**2 + 1472*b - 187. Give i(-10). -307 Let w(g) = -2153*g - 148640. Give w(-69). -83 Let d(z) = 10450*z - 178277. Determine d(17). -627 Let r(w) = 2*w**3 - 52*w**2 - 54*w - 118. Determine r(27). -118 Let o(h) = 2*h**3 + 35*h**2 + 53*h + 1357. Give o(-18). 79 Let p(h) = h**3 - 6*h**2 - 14175*h + 70900. Calculate p(5). 0 Let y(d) = -68575*d + 274295. Determine y(4). -5 Let z(j) = -2*j**2 - 367*j + 8565. Give z(-205). -250 Let z(t) = -t**3 + 57*t**2 + 135*t - 7661. Calculate z(57). 34 Let i(l) = l**3 - 645*l**2 + 3155*l + 28796. Give i(640). -4 Let q(p) = -52*p**3 - 339*p**2 - 151*p + 73. Calculate q(-6). 7 Let x(z) = 1562*z - 14617. Calculate x(10). 1003 Let w(z) = z**3 + 55*z**2 - 230*z - 4190. Give w(10). 10 Let p(f) = 108*f + 33593. Determine p(-311). 5 Let t(n) = 4*n**2 - 24*n - 766. Calculate t(-17). 798 Let m(w) = -6730*w + 13550. Determine m(2). 90 Let c(t) = -3*t**3 - 111*t**2 + 166*t + 459. Determine c(-38). -1517 Let w(q) = -q**2 + 1507*q + 1618002. Give w(-725). -198 Let v(w) = 2*w**2 - 1752*w + 377182. Give v(495). -8 Let a(x) = -14*x**3 - 3628*x**2 - 513*x + 1292. Calculate a(-259). -3 Let s(u) = -58*u + 2891. Calculate s(37). 745 Let x(i) = -i**2 + 45062*i - 180234. What is x(4)? -2 Let v(y) = 703*y + 10043. Determine v(-11). 2310 Let b(x) = -x**3 + 61*x**2 + 2090*x - 121467. Calculate b(64). 5 Let a(l) = -18*l**2 - 1821*l + 1825. Give a(1). -14 Let u(h) = 51243*h - 102485. Determine u(2). 1 Let t(y) = -523698*y + 103168507. Determine t(197). 1 Let a(q) = 3935*q + 23586. Give a(-6). -24 Let c(l) = 142*l - 8683. Calculate c(73). 1683 Let j(p) = 195*p + 13431. Calculate j(-69). -24 Let h(o) = -o**3 + 148*o**2 + 16422*o + 65. Calculate h(222). -1267 Let s(t) = -136051*t + 680247. Determine s(5). -8 Let i(g) = -g**2 - 37*g + 13032. What is i(103)? -1388 Let w(z) = 87*z - 8074. Calculate w(95). 191 Let s(p) = -4479*p + 18068. Calculate s(4). 152 Let p(d) = -11*d**2 + 1020*d + 304. Determine p(93). 25 Let z(k) = k**3 + 6*k**2 - 579*k - 507. Give z(-27). -183 Let k(q) = 1215*q - 13539. Give k(12). 1041 Let n(m) = -2*m**2 + 1787*m + 147783. Calculate n(-76). 419 Let b(n) = -44*n + 2098. Calculate b(24). 1042 Let t(m) = -230*m**2 + 57*m - 128. Give t(4). -3580 Let h(d) = -3*d**2 + 291*d + 3345. Calculate h(108). -219 Let q(o) = 9*o**2 + 29*o - 112. Give q(7). 532 Let w(r) = 279*r**2 - 5283*r - 50658. Determine w(-7). -6 Let s(a) = -a**2 - 3890*a - 58115. What is s(-15)? 10 Let w(k) = k**2 - 3493*k - 66884. Give w(-19). -156 Let u(i) = -21*i**2 - 11538*i - 4464. What is u(-549)? 477 Let v(t) = -5*t**2 + 383*t - 2350. Determine v(6). -232 Let m(z) = -35267*z + 634804. What is m(18)? -2 Let d(u) = 68920*u + 275655. Determine d(-4). -25 Let t(q) = -8*q**3 + 451*q**2 - 1424*q - 147. Determine t(53). 224 Let j(y) = -y**3 - 167*y**2 - 705*y - 8616. What is j(-163)? 23 Let j(i) = 9*i**2 + 220*i - 6966. Give j(20). 1034 Let k(g) = 80019*g + 80072. Determine k(-1). 53 Let m(x) = 39510*x - 395104. Determine m(10). -4 Let x(d) = 381*d - 1481. What is x(4)? 43 Let w(f) = 628*f**2 + 122454*f - 1173. Give w(-195). -3 Let w(m) = -12*m**2 + 27*m + 118. Calculate w(4). 34 Let f(u) = -107538*u - 215087. What is f(-2)? -11 Let x(y) = y**2 - 2276*y - 47800. What is x(-21)? 437 Let t(p) = 16*p**2 + 187*p - 5158. Calculate t(13). -23 Let l(j) = -j**2 + 2094*j - 209101. What is l(105)? -256 Let z(i) = 896*i + 7424. Give z(-8). 256 Let q(o) = -5*o**3 + 433*o**2 - 1087*o - 180. What is q(84)? 240 Let t(l) = 9062*l - 3416428. Give t(377). -54 Let s(u) = 41*u**3 + u**2 + 7*u - 33. Give s(3). 1104 Let q(i) = -179*i - 1250. Give q(-5). -355 Let f(v) = 301673*v - 301664. What is f(1)? 9 Let d(q) = 2*q**2 - 12865*q - 90147. Give d(-7). 6 Let d(w) = 3*w**3 + 22*w**2 - 73*w - 386. Calculate d(-12). -1526 Let y(f) = 113*f + 10043. Give y(-93). -466 Let x(j) = j**3 + 329*j**2 + 4125*j + 5373. Give x(-316). 1 Let h(v) = -203393*v - 813561. Calculate h(-4). 11 Let g(f) = -9*f**2 - 1108*f + 2241. What is g(2)? -11 Let x(y) = 126*y + 15484. Give x(-115). 994 Let r(b) = -2*b**3 + 385*b**2 + 224*b - 6043. Give r(193). -60 Let p(r) = -r**2 + 12*r - 51. Give p(13). -64 Let q(f) = -6543*f - 1406765. What is q(-215)? -20 Let y(t) = -53*t**2 - 2988*t - 5975. Calculate y(-2). -211 Let f(k) = 3*k**2 + 2201*k + 348896. Calculate f(-502). 6 Let g(k) = 64722*k - 3818589. Give g(59). 9 Let v(o) = 1271722*o + 12717213. What is v(-10)? -7 Let r(v) = -4*v**3 + 12*v**2 - 17*v + 241. Determine r(7). -662 Let z(s) = -1616367*s + 8081831. Determine z(5). -4 Let q(p) = -232*p**3 + 216*p**2 - 212*p - 3. What is q(1)? -231 Let c(t) = t**3 + 20*t**2 - 106*t - 128. What is c(-22)? 1236 Let v(x) = 2*x**3 - 138*x**2 - 417*x + 18. What is v(-3)? -27 Let d(p) = 2*p**3 + 1103*p**2 - 4997*p + 3693. Determine d(-556). -199 Let o(v) = -6411*v + 109033. Give o(17). 46 Let q(v) = 460*v + 5578. Calculate q(-12). 58 Let x(r) = -34*r**2 + 401*r - 797. What is x(2)? -131 Let o(z) = 78823*z + 3783504. Determine o(-48). 0 Let g(t) = -t**2 + 47*t + 783. Give g(62). -147 Let d(v) = 86*v - 14681. Calculate d(161). -835 Let w(l) = -5*l**3 + 227*l**2 - 932*l + 37886. Give w(45). -4 Let x(o) = 13614*o - 12246. What is x(1)? 1368 Let c(n) = n**3 + 5*n**2 + 29*n + 117. Determine c(-4). 17 Let p(i) = 336*i - 3223. Determine p(9). -199 Let u(h) = 18966*h - 75878. Give u(4). -14 Let g(o) = 3*o**3 - 35*o**2 + 70*o - 253. Give g(12). 731 Let j(s) = 2068*s + 101499. Give j(-49). 167 Let i(w) = 3293*w + 500304. Calculate i(-152). -232 Let i(x) = -1015*x - 122808. Determine i(-121). 7 Let x(n) = -18*n**2 + 61*n + 465. Give x(7). 10 Let u(k) = 2*k**3 - 74*k**2 + 378*k + 2480. Determine u(29). -14 Let p(w) = -4*w**3 - w**2 - 54*w + 174. What is p(3)? -105 Let d(l) = -8*l**2 + 356*l + 6845. What is d(59)? 1 Let v(f) = 286*f**2 + 2754*f - 1051. What is v(-10)? 9 Let w(c) = -1767*c - 1369431. Determine w(-775). -6 Let m(j) = -210*j**2 + 4427*j + 20574. Give m(25). -1 Let o(w) = -w**3 + 2*w**2 - 104*w - 688. Calculate o(-6). 224 Let y(f) = 37*f**2 - 45*f. What is y(-3)? 468 Let b(h) = -8*h**2 + 1220*h + 6947. Calculate b(158). -5 Let b(z) = 214*z - 9309. Calculate b(39). -963 Let n(c) = -2926*c + 17565. Determine n(6). 9 Let m(f) = f**3 - 20*f**2 + 12*f + 407. What is m(18)? -25 Let f(k) = -2281*k - 100354. Give f(-44). 10 Let y(o) = -7*o**2 + 91*o - 132. Determine y(10). 78 Let x(m) =
{ "pile_set_name": "DM Mathematics" }
6*c - 42. Let h be x(-7). Which is smaller: z or h? z Suppose -4*b - t + 20 = -4*t, -2*b + 4*t + 10 = 0. Let z be b - (3 - (-1 + 0)). Let x be (-2)/(-1 + -5*4). Which is smaller: x or z? x Let j be 2/((2/18)/(5/30)). Let z(u) = 3*u**2 - u. Let n be z(-1). Let l = n - j. Which is smaller: 4/3 or l? l Let f(m) = -2*m + 35. Let n be f(18). Let p = 2/7 - -22/21. Let i = p + -17/15. Which is smaller: n or i? n Let m(s) = 5*s**3 - 4*s - 3. Let c be m(-2). Let g be (-24)/c - 6/15. Are 1 and g equal? False Suppose 2*a + a - 9 = 0. Let v be (((-5)/a)/(-5))/(-1). Which is greater: v or 0? 0 Let j be 6/(-9)*18/(-8). Is j greater than -2? True Let u = -24 - -25. Let z be -3 + 0 - (-166)/54. Which is smaller: u or z? z Suppose -2*r = r - 2*f - 12, -4 = -r - 5*f. Let q = -4 + r. Suppose q = 2*m + 6. Which is smaller: m or -1? m Let j = 0.17 + 0.03. Let p = -0.2 + j. Which is smaller: -0.5 or p? -0.5 Let m = 11.4 + 0.6. Let w = -11 + m. Which is greater: w or 2/3? w Let c be -652*81/(-186) - 4. Let n = c - 280. Which is greater: 0 or n? 0 Let p(n) = n**2 - 4*n. Let t be p(4). Let a be 0 - ((-4)/(-10) + t). Let h be 2/3*6/4. Which is greater: h or a? h Let h(m) = -m**2 + 4. Let j be h(0). Suppose 3*f - 2*f = -j. Which is bigger: 0 or f? 0 Let x be 1 + (-1 - -4) + -3. Is x at least 12/11? False Let n = 0.14 - 0.1. Let t = 3.04 - n. Let y = t - 2. Is y less than 0? False Let o = 1 - 1.3. Let b(f) = -f**2 - 3*f - 2. Let z be b(-2). Is o less than or equal to z? True Let l = 5 - -7. Let m = -13 + l. Is m greater than or equal to 0? False Let x = -113 + 113. Is 0.3 less than x? False Let o(k) = -k - 3. Let v be o(-3). Let s(u) = -u**3 - 5*u**2 - 3*u + 4. Suppose 6 = -3*i + 2*w - 2, 4*i + 6 = 5*w. Let h be s(i). Are v and h nonequal? False Suppose 125 = -10*r - 95. Do r and -3 have the same value? False Let x = 116 - 233/2. Let c = 18 + -6. Suppose -3*d = -0*d + c. Which is bigger: x or d? x Let f = 46381 - 2922181/63. Let s = f - -28/9. Let w = -2.1 - -2. Which is bigger: w or s? s Let u = 61/12 + -16/3. Which is smaller: -1/26 or u? u Let l(h) = h + 1. Let g be l(-5). Let s(v) = 6*v**2 - 54*v - 5. Let r be s(9). Do g and r have different values? True Suppose 2*z = 2*t + 4, -5*z + 5 = 5*t - 15. Let k be 10/28*(-3 + t). Does -1 = k? False Suppose -2 = 5*m - 37. Is 8 equal to m? False Let b = -0.2 + -0.3. Let o = 4.5 - b. Let l = 40/91 - 2/13. Which is bigger: l or o? o Let s = 0 - -5. Let p(o) = -2*o**3 - 8*o**2 + o + 3. Let i be p(-4). Which is bigger: i or s? s Let q be 0/((2 + 1)/3). Which is bigger: 6/5 or q? 6/5 Suppose -h = 2*o + 3 - 1, -3*o + 3*h = -15. Suppose -4*n - 3 = 5*s, 3*n - o = -7. Let g = -3 + 6. Do g and s have the same value? False Let y = -3/65 + -251/195. Let z = 0 + 6. Let b be ((z/3)/(-1))/2. Which is greater: y or b? b Let b = 0.23 + -5.23. Is b < -5? False Let i = -47.1 + 47. Do i and -2/3 have the same value? False Let d be 64/168 + 2/(-3). Is 0.1 bigger than d? True Let j(k) = 14*k**2 + 1 - 14*k**2 - 4*k**3 - k + 3*k**3. Let i be j(0). Is i equal to -2/9? False Let x be (-12)/(-42) + 136/14. Suppose 4*a - 7 - 43 = -3*h, -50 = -4*h - 2*a. Is h bigger than x? False Suppose 0*i + 4 = -2*i. Let f = -2 + 4. Suppose -f*s + 3 = -5*s. Do s and i have the same value? False Suppose 0 = -4*c + 5*x + 17, -21 = 3*c + 5*x - 2*x. Let s(b) = b**2 + 3 + 3*b + b**2 - 1. Let v be s(c). Are v and 2 nonequal? True Suppose -17*n = 1158 - 325. Which is smaller: n or 2? n Let b = 18 + -17.9. Is -1/17 < b? True Suppose 2 = -3*i - 1. Let f be 106/(-8) + i/(-4). Let g = 27/2 + f. Which is smaller: 1 or g? g Let q be (-1098)/72 - (-4)/2. Let d = q - -13. Which is smaller: 1/6 or d? d Let r = -0.1 + 0.1. Let u = 0.66 + 0.04. Let q = u + -0.6. Is q greater than or equal to r? True Suppose 3*u = 1 + 5. Let k = u + -2. Let i be (-2)/3 - 40/(-90). Is i less than or equal to k? True Suppose 13 = -3*w - 17. Let q be 4/w + (-3)/5. Let v be (-3 - -3)/(-1 - -3). Which is greater: q or v? v Let m(d) = 10*d + 10. Let x be m(-6). Is x smaller than -50? False Let i be (-3)/9 + 34/66. Let l(c) = 5*c**2 + 3*c. Let q be l(-2). Let n = -43/3 + q. Which is greater: n or i? i Let i be (-5 - 77)/(2 - -3). Let z = 16 + i. Is -2 smaller than z? True Let r(x) = x**2 + 3*x - 6. Let n be r(-5). Let l be (-9)/(1*(n + -3)). Let t = l + 16. Which is smaller: 6 or t? 6 Suppose -10*g + 6*g = 36. Is g less than or equal to -9? True Suppose -3*p + 7*p = 0. Let d = 0 + p. Let l = 821/7 - 117. Is d at most as big as l? True Suppose -28 = x - 5*x. Let h be (-57)/(-12) - 2/(-8). Which is smaller: x or h? h Suppose -23 = -3*j - 2. Is -0.1 less than j? True Let m be -1 + 6 - (-4 + 9). Let j be 0 + ((-16)/30)/4. Is m bigger than j? True Let o be 2/5 - (1 + -1). Suppose -5*w - 4*c = 3, c = -7*w + 3*w + 2. Is o equal to w? False Let x(r) = -r**3 - r - 1. Let o(w) = -w**3 - 6*w**2 + 3*w - 1. Let a(d) = -o(d) + 2*x(d). Let q be a(5). Let p be q - (2 - 3/3). Which is smaller: -3 or p? -3 Let t = -1904/3 + 628. Is t >= -7? True Let q(p) = -4 + 5 - 3*p - 2*p - p**2. Let r be q(-5). Let c be (2 + 3/(-2))*r. Is 1 greater than c? True Suppose -c - 3*c = f + 10, -1 = -2*f - c. Suppose 1 = -3*y + f*y. Let q = 106/5 - 21. Is y != q? True Let l be 2/(-5) - (-12)/5. Let b = 42 + -38. Are l and b nonequal? True Suppose 7*g - 2*g + 16 = -o, -4*o - 16 = 4*g. Which is bigger: -1/32 or o? -1/32 Let l be (-12)/(-210)*7*34*-5. Which is bigger: l or -67? -67 Let a(h) = -h**3 + 5*h**2 + 3. Let q be a(5). Let p = -2 - -3. Let x = p - 0. Is q not equal to x? True Let t = -3 + 4. Suppose -4*m = -5*m + 1. Let r be (-3)/(-14) - m/2. Which is greater: t or r? t Let a = 250/9 + -28. Are a and 1 nonequal? True Let x be 1/(-2) + (-15)/(-6). Let n be 13 + (1 - (-3 - -2)). Suppose i + n = 6*i. Which is bigger: x or i? i Suppose 2*m = m + 17. Is m greater than or equal to 18? False Let s be 4 - 5 - 108/20. Which is greater: -7 or s? s Let x = 118/155 + -5/31. Which is smaller: 1 or x? x Suppose 0 = -2*r - 3*r. Suppose r = 4*n - 3*n. Suppose n = 4*l - 0*v + 2*v - 14, 0 = -l + 2*v - 4. Is 1/2 < l? True Let w = -1.1 + 0.9. Let v = 17 - 17. Which is greater: w or v? v Let n = -16 + 10. Let f be (-3)/(-6)*n - -8. Suppose 20 = -5*t + f. Which is bigger: -4 or t? t Let j = -6 + -6. Let t be (6/126)/((-2)/j). Is t at most 9? True Let p = -148 + 143. Which is greater: p or 13? 13 Let o(g) = g**2 + g - 3. Let p = 4 - 7. Let f be o(p). Let r be 4/2 - 0/(-2). Is f at most r? False Let n be (-60)/(-8)*3/30. Is 1 at least as big as n? True Let t = -2.7 + 0.7. Is t at least -0.2? False Let i = 374/7 + -30647/574. Do -1 and i have the same value? False Let l(a) be the third derivative of a**5/60 + a**4/8 - 5*a**3/6 + 3*a**2. Let w be l(-5). Which is greater: 4 or w? w Let y = -36871/939 + -21/313. Which is greater: y or -40? y Suppose 4*z = 8*z - 20. Which is bigger: 0 or z? z Suppose -3*d - 2*v + 23 = 6, -7 = -2*d + 3*v. Suppose -d*n - 59 - 96 = -5*r, 3*r - 77 = -n. Let p = r + -187/7. Does 1 = p? False Suppose 2 = 15*c + 242. Is -16 at least c? True Let a = -20 - -29. Let d be -3*((-30)/a)/2. Let x = 6 - d. Is 5/4 less than or equal to x? False Let h(w) = w**2 + w - 2. Let x = 7 + -19. Let j be 8/x*6/2. Let f be h(j). Which is bigger: f or 2/9? 2/9 Let y be (3 + -1)/((-2)/(-4)). Let f(i) = i**3 - 3*i**2 - 3*i. Let x be f(y). Are x and 5 equal? False Let a(i) = 3*i**2 + i. Let c be a(-1). Suppose c + 4 = -3*x. Which is smaller: -1 or x? x Let d = -56 - -57. Is 0.039 at most d? True Let n be 3/(30/(-4))*-1. Let c = 21 + -19. Which is smaller: c or n? n Suppose -6*s - 32 = -2*s - a, a + 24 = -3*s. Let d(f) = 2*f + 10. Let k be d(s). Is k greater than -7? True Let q(x) = 6*x - 6. Let l be q(2). Do l and 16/3 have the same value? False Let b be (-9)/(-2)*24/54. Which is smaller: b or 12/5? b Let b = -1.8 + 9.8. Let v = -8.07 + b. Is v > 0.1? False Let b(o) = -o - 2. Let v be b(0). Let y be -3 + 3 - v/19. Is 1 != y? True Let p(l) = 2*l - 28. Let w(q) = q - 14. Let n(r) = 2*p(r) - 5*w(r). Let t be n(10). Suppose 5 = -5*a + 4*z, -t*a = -0*a - 5*z + 4. Is 1/6 at most as big as a? False Let s = 0.04 - -0.36. Let n = -0.5 + s. Is -1 greater than n? False Let w be 3/(-12)*-2*7/42. Is w greater than -1? True Let g(d) = -d**2 - 6*d + 9. Let n be g(-7). Let p = n
{ "pile_set_name": "DM Mathematics" }
e number? True Let y = 7320 + -17351. Let v = y - -18432. Is v prime? False Suppose -3 - 12 = -5*n + t, -4*t - 15 = -5*n. Let d(c) = 29*c**2 + 8*c + 4. Let v(a) = -29*a**2 - 9*a - 5. Let q(x) = n*v(x) + 4*d(x). Is q(8) a prime number? False Let w(f) = -58188*f + 6569. Is w(-6) a composite number? False Suppose 0*j - 5*j = -5, 0 = -3*x + 4*j + 5. Suppose 8*a - 3*a - 5*q - 3510 = 0, 0 = -x*a - 3*q + 2100. Is a prime? True Let d = -578556 - -1558625. Is d composite? False Let f(o) = -4*o**2 - 9*o - 7. Let q(y) = 21*y**2 + 46*y + 34. Let n(p) = -11*f(p) - 2*q(p). Let b be n(-4). Suppose 8*t + 7405 = b*t. Is t prime? True Let u be ((-2)/(-6))/((-20)/(-300)). Suppose u*x = -l + 3*l - 1453, 4*l + 2*x - 2870 = 0. Is l a composite number? False Let y(b) = 43*b + 14531. Is y(0) a composite number? True Suppose 2*z = -5*z - 3395. Let h be z/(-7) + 8/(-28). Suppose -h - 25 = -2*t. Is t prime? True Suppose 114*o + 34*o - 5*o = 136583161. Is o a composite number? False Suppose c - 37088 = -5*s, 5*s - 10873 = -2*c + 63293. Is c prime? False Suppose -6 = 2*d + d. Let t(c) = c. Let a be t(2). Is d + (a - -1) + 2136/2 a prime number? True Let b(j) = -20410*j**3 + j**2 + 3*j + 3. Is b(-1) composite? False Suppose 2*f + 454219 = 7*f - 3*j, 4*j = 4*f - 363372. Is f prime? False Suppose -2*y - 12 = -4*p - 0, 2*p - 22 = -3*y. Let j be 176/(-154) - (-308)/98. Suppose 2*u - 16367 - 4407 = y*g, -2*u - j*g = -20786. Is u a prime number? True Suppose o - a - 24 = -o, -68 = -4*o - 3*a. Is (1 + 1)*o*(-647)/(-4) a composite number? True Let y(f) = -f**3 - 4*f**2 - 6*f - 8. Let c be y(-3). Suppose c = -4*u + 7893. Suppose 10*q = 11*q - u. Is q composite? False Suppose 33*b - 6*b - 62*b = -185605. Is b a prime number? True Is (6/18)/((-2 + 1)/(-2270001)) a composite number? False Let a be (40/(-8) + 8)*(-3995)/(-3). Suppose v = a + 666. Is v composite? True Let n(q) = -2*q**3 + 11*q**2 + 17*q + 3. Suppose 17*z + 106 + 64 = 0. Is n(z) a composite number? True Suppose -8*n = -13*n + 385. Is (n/14)/11*12254 prime? False Let m = -16 - -18. Suppose 0 = f - m*p - 1355, 0*f - 4072 = -3*f - p. Is f composite? True Let a = 1023156 - 354837. Is a a composite number? True Let y(g) = 6333*g - 10. Suppose -17*x - 294 + 311 = 0. Is y(x) a composite number? False Let b(q) = q**2 - 14*q + 23. Let v be b(2). Is 1/2 + 36635/34 + v composite? True Let l = 5657 - 4020. Is l a composite number? False Let o(m) = -25*m - 1. Let g be o(-2). Suppose -143557*i + 21060 = -143539*i. Let k = g + i. Is k a prime number? False Let y = -93680 - -148971. Is y a prime number? True Suppose -5*j = -4*a - 4 - 1, -2*a + j = -5. Suppose -4*y = 2*t + 2, -t = -y - 10 + a. Suppose 0*r = 5*r + v - 4200, 5*v + 2492 = t*r. Is r composite? False Let r be 9/12 + 6/(-8). Let g(z) = -z**2 - z - 254. Let v be g(r). Let b = 547 + v. Is b composite? False Let a = -78 - -63. Let k be 12/(-6) - (-2 + 1). Is ((-1167)/9)/(((-5)/a)/k) a prime number? True Let t be ((-2650)/3)/((-4)/6). Let x = t - 679. Is (9/(-18))/((-1)/x) a composite number? True Let j = -72 + 75. Let b be 120654/21 + j/(-7). Let r = b + -2718. Is r a composite number? True Let c be (-4)/(-12) + 4/6. Suppose 3*u - c - 10 = g, -5*u + 25 = -5*g. Suppose 0 = u*q + 576 - 3693. Is q a prime number? True Let i = -91 + 91. Suppose 0 = 2*x - 4*v + 1994, 4*x + i*x = 3*v - 4003. Let y = x - -2390. Is y prime? False Is ((-7239745)/(-35))/((-153)/(-1071)) composite? False Let m = -12 + -4. Is ((-2210)/(-4) + -1)/((-8)/m) a composite number? False Let o be (-3)/24 - ((-3868)/(-32) - 2). Let x be (-45110)/(-14) + 17/o. Let f = 5417 - x. Is f a composite number? True Is 451357 - 8 - (0 + -8) composite? True Let d(s) = 64*s**2 - 9. Let j(h) = -32*h**2 + 4. Let t(b) = 3*d(b) + 5*j(b). Let i be t(-4). Suppose 5*w + 4*o = 631, -o = -4*w - 4*o + i. Is w a prime number? True Suppose -168973 = -6*j - j. Suppose 3*d - 2640 + 14723 = 2*y, 4*y + 3*d - j = 0. Is y a prime number? True Let g = 851628 + -531095. Is g a composite number? False Let d = -4505 + 7431. Suppose -3*t + d = 5*s - 320, 3222 = 3*t - 3*s. Is t composite? True Suppose -322*j = 27*j - 30688617. Is j prime? False Let i(v) = -10*v**2 - 20*v + 25. Let o(y) = -29*y**2 - 59*y + 74. Let t(r) = 17*i(r) - 6*o(r). Is t(10) composite? False Let o be (96/40)/(12/(-1280)). Let g = o - -339. Is g a prime number? True Suppose 3*m = 2*t - 81 + 21, -5*t = 3*m + 81. Let w(n) = -n**3 - 21*n**2 - 9*n + 49. Is w(m) a composite number? True Suppose -3*d + u - 3*u = 13970, 2*d = -3*u - 9310. Let c(f) = -10*f - 49. Let a be c(-5). Is ((-1)/(-2))/(a + d/4660) a composite number? True Suppose -3*o + 6969 = 5*s, -1575 = -o + 5*s + 788. Is o prime? True Let l = -31 + 26. Let a(c) = -2*c**2 - 8*c + 12. Let x be a(l). Suppose 6*h = h + 20, -x*h = -2*o + 3306. Is o a prime number? True Let w = 3447970 + -2447547. Is w prime? True Suppose 3*a + 10582 = 2*w, -3*w - 4*a = -6*w + 15875. Is w prime? True Suppose -16*d + 22 = -74. Let j(t) = 10*t**3 - 5*t**2 - 11*t + 29. Is j(d) a prime number? False Let z = 1391 + -947. Suppose -2*s - q + 634 = 0, -253 - 381 = -2*s + 3*q. Let t = z - s. Is t a composite number? False Let h(f) = -1022*f - 35. Let o be h(-19). Suppose -150*y - 4*s - o = -153*y, 2*y = -4*s + 12902. Is y prime? False Suppose 101143 = 4*g - 5*c - 1077046, -c = -3. Is g prime? True Suppose 0 = 5*a - 2*k - 4679501, 3*k + 2807706 = 608*a - 605*a. Is a a composite number? False Let p(r) = -2*r**2 - 6*r. Let h be p(-3). Suppose n = 5*v - 5574, -2*n - 2236 = -2*v - h*n. Is v prime? False Let c = -148 + 69. Let p = c - -79. Is -14 - -18 - (p - 1773) composite? False Let a be 1*(3 + -1) - -9. Suppose -a*q + 10236 = -5*q. Suppose -t + 4*k + q = 3*k, 3*t - 5158 = -5*k. Is t composite? True Let a(i) = -i**2 + 112*i + 998. Is a(97) a composite number? True Let d = 163 - 242. Let b = 147 + d. Suppose 9*q - b = 7*q. Is q a composite number? True Let h(p) = -p**3 - 8*p**2 + 9*p - 36. Let j be h(-11). Let x = j + -166. Is x prime? False Suppose 0 = 17*x - 512 + 427. Suppose x*d + 3*f = -2*f + 46010, -4*d + 3*f = -36773. Is d composite? True Let r(o) = -2603*o - 747. Is r(-12) composite? True Let f(s) = 10*s**2 + 57*s - 15. Let k be f(-6). Let b be 2 + -4 + (-9)/(-1). Suppose k*x = -3*c + b*x + 3533, 0 = -c + 5*x + 1196. Is c composite? False Suppose -w - 4*a + 56114 = 0, -22*a + 15 = -17*a. Is w a prime number? False Suppose 3*k = 1353*n - 1348*n - 792089, 2*n + 3*k - 316802 = 0. Is n composite? True Let v be -5*117/(-30)*-2. Is (-1138)/1*v/26 a composite number? True Let o = -7654 + 16519. Suppose 5*m = 5*s - 8910, 0*m + o = 5*s + 4*m. Is s a composite number? False Suppose -1 = -2*t - 5. Let c be (-4 - 11/t) + 21/(-6). Is 0 - (-8)/c - -1401 a prime number? False Let c be 6/36 - 29/(-6). Suppose -4*v + 2*v - 1650 = -5*u, -v + c = 0. Suppose 3*s = b + 397, 2*b + u + 196 = 4*s. Is s prime? False Let o be (-12)/(-8) + 3/2. Suppose -5*p = 5*q - 3605, -o*p + 4*p - 2 = 0. Suppose 5*t - 4*t - q = 0. Is t prime? True Let c(x) = 51*x - 7. Let m be c(-4). Let y = m + 494. Let o = 1190 - y. Is o prime? True Suppose 0 = -6*l + 2*l - 405340. Is (l/(-130))/((-2)/(-4)) prime? True Let m = -20 - -23. Suppose 0 = -m*u - 5*f + 2*f + 12033, -8024 = -2*u - 3*f. Is u a composite number? True Suppose -2*f = 3*h - 5608, 3*f - 5600 = f - 5*h. Let s = 2637 + f. Is s composite? True Let k(b) = -b**3 + 11*b**2 + 11*b + 19. Let g be k(12). Suppose 9*m = g*m + 6114. Is m composite? True Let d = -1517 + 2417. Suppose -27*s + 30*s = d. Let w = s + -173. Is w prime? True Let h(d) = -2*d**3 + 57*d**2 + 28*d + 45. Let l be h(29). Suppose -4 + 84 = 5*j. Is l/(j/(-4)) + 37 a composite number? True Suppose 2*n + 89888 = 4*g, -56*g + 52*g + 5*n = -89906. Is g a composite number? False Suppose 10741 + 49079 = 12*y. Let m = 8682 - y. Is m prime? True Suppose -32993 - 37464 = -7*t + 93392. Is t composite? True Let q(s) = 12*s**2 - 12*s + 23. Let d = -196 - -207. Is q(d) prime? False Suppose 2*v = -v. Suppose v = 8*i + 2680 - 12952. Let l = 1837 - i. Is l prime? False Let b(n) = -n**3 + 11*n**2 - 7*n + 19. Let z(q) = -q**2 - 22*q + 10. Let l = -142 - -120. Let v be z(l). Is b(v) prime? False Suppose 4*z + 29792 = 2*v, 4*v - 66024 = 3*z - 6435. Suppose -60054 + 22801 = -5*a - s, 2*a = -2*s + v.
{ "pile_set_name": "DM Mathematics" }
qual to w? True Let m = -306 + 2154/7. Is m at most as big as 1? False Let k = -11.9 + 12. Let i = -0.1 + 0.3. Let m = k - i. Which is smaller: m or 0? m Let h = 0.1 + -0.2. Let u = 1 + 2. Let a = -2.9 + u. Is a greater than h? True Let v = 0.04 - 0.54. Let k = 1.5 + v. Is k smaller than -2? False Let i(z) = -z**3 + 21*z**2 - 21*z + 21. Let f be i(20). Let l = 76 + -457/6. Is l > f? False Let f be 57/6 - (-3)/(-6). Does f = 10? False Let s = 1 - 0. Suppose 4*p = 2*n + 8, -3*p - 8 = 2*n - 4*p. Let x = 4 + n. Which is greater: s or x? s Let x be (-3)/(-2) + (-12)/8. Is -2 != x? True Let z be (-2)/2 - (-2 - -2). Let w = -184/5 + 37. Which is smaller: z or w? z Suppose 4*t - 17 = -5. Suppose -23 = c - 5*r - 1, -2*c = t*r - 8. Let f be 28/12 + c/(-3). Is f not equal to 3/2? True Let d(a) = -9*a - 74. Let o be d(-9). Which is smaller: 2 or o? 2 Suppose 0 - 4 = 4*g. Let s be 2/7 + 61401/(-161). Let k = 381 + s. Is g != k? True Suppose -3*j + 0 = -3. Suppose -i + 1 = 3*m, 0 = 3*i + 5*m + j. Suppose 0*h + 3*a = 4*h + 15, -4*h - 5*a + 25 = 0. Which is smaller: h or i? i Let t(r) = -r**2 + 14*r + 106. Let l be t(20). Suppose 2*d + 70 = -3*d. Are l and d unequal? False Let t(w) = -w**3 + 7*w**2 - 6*w + 4. Let l be (-160)/(-28) + 4/14. Let o be t(l). Suppose o*p = 2*p + 8. Which is smaller: 0.1 or p? 0.1 Let t = -0.95 - 0.05. Let v = t - 4. Let c = -3 - v. Which is smaller: 1/5 or c? 1/5 Let l be 2/(1/((-9)/6)). Let y = -21 - -19. Is y >= l? True Let j = -33 + 31. Let t = j + -5. Let x = 13 + -19. Is t less than x? True Let t be 9 - 7 - (-9 - (-4 - -2)). Is 9 at least t? True Let q = -9 + 80/9. Is q at least as big as 1? False Let b = -1 - -5. Suppose -r + 3 = b*w, w - 5*r = 3*w - 15. Do w and -1/7 have different values? True Let u(w) = w**2 - w + 1. Let j be u(2). Suppose 2*d + 8 - 2 = -2*f, -4*d + j*f = -9. Which is smaller: d or -1/8? -1/8 Let t(s) = s - 1. Let n be t(-1). Let w = -2 + n. Let k = -21 - -18. Which is smaller: w or k? w Suppose 0 = 4*q - 3*q - 11. Let r(g) = -g**3 + 11*g**2 - 1. Let d be r(q). Which is bigger: d or -2/23? -2/23 Let m be -2*((-18)/8 - -2). Let c = -5.5 - -6. Let i = c + 0.5. Is i at most m? False Let o(g) = 10*g - 9. Let a be o(13). Which is smaller: a or 120? 120 Suppose 3*j + 4 + 8 = 2*v, 0 = v - 3*j - 9. Suppose 0 = v*m - 2*m. Which is bigger: m or -3/7? m Suppose 468 = 3*a - 0*c - 4*c, 3*c = 4*a - 624. Let p = a - 1089/7. Suppose 0 = 2*q + 5*g + 27, -2*g - 14 = 8*q - 4*q. Is p less than q? False Let w = 5/2 + -3. Let d = 0.1 - 0. Which is smaller: w or d? w Let k be (3 + 3)*(-4)/(-2). Let v = -13 + k. Which is smaller: 2 or v? v Suppose -3*y - 4 = -1. Let b(i) = i**2 - 5*i - 3. Let z be b(6). Let h be ((-2)/(-21))/(2/z). Which is greater: h or y? h Let n = 10 - 16. Let z be n/(-5)*(-80)/(-24). Is 3 <= z? True Let x be (-2)/(-6)*(-1 + 7). Let q be 3 - (-1 - 2/2). Suppose -q*k - 5*z + 19 = -16, -3*z + 9 = 0. Is x less than or equal to k? True Let x be (9/360)/((-2)/5). Let p(f) = f**3 - 5*f**2 - 7*f + 7. Let h be p(6). Are h and x equal? False Let s be 2 - -3 - 2/(-2). Let l(y) = y**2 + 5*y - 5. Let f be l(-5). Let p = s + f. Which is greater: -2/9 or p? p Let d = -0.1 - -0.2. Are 8 and d equal? False Suppose 0 = 3*b + b - 8. Suppose 4*g = b*c + 20, 5*c - 2*c = -5*g + 47. Which is greater: 9 or g? 9 Let b = -0.29 + 11.29. Let v = 11.29 - b. Let c = v + 0.01. Do -0.2 and c have the same value? False Let z be (2/(-26))/(2/4). Suppose 2*h + 3*d = -45, h - 4*d + 19 = -2*d. Let j = h - -21. Which is greater: j or z? j Let s be (-4)/14 + 62/70. Let h(u) = -u**2 + 3*u - 2. Let x be h(3). Let y = x - -4. Which is smaller: y or s? s Suppose v - 6*v = 25, 2*i + 1 = 3*v. Which is smaller: i or -5? i Suppose 28*l + 836 = 17*l. Which is smaller: l or -77? -77 Let s = 1/15 + 71/60. Which is smaller: 0 or s? 0 Let x be (-48)/18*(-6)/(-4). Is -2 >= x? True Suppose 2*v + 2 = -4*u, -3*u + 3*v = 4*v. Let w be u + (-1 - 0) - 0. Let y = 0 + -1. Which is smaller: y or w? y Let z = 28 + -27. Let d(g) = g**3 + 3*g**2 - 4*g - 1. Let x be d(-4). Which is smaller: z or x? x Let i be -1 + (-3 + 2 - 2). Let g = i + 6. Let j = 11 - 9. Is g less than j? False Let x = -0.037 + 0.137. Let o = 128 + -2047/16. Is o > x? False Suppose 4*d - 7 - 5 = 0. Suppose 0 = -3*w + 2*t - 0 + 6, -4*w + 3*t + 8 = 0. Is w at most d? True Let k(t) = -t + 9. Let x be k(8). Is x >= 2/27? True Let u be (-8)/6 + (-9)/(-27). Let q = 0.2 - 0.3. Is u greater than or equal to q? False Suppose 0 = 5*n - 1 - 4, -n - 104 = -5*t. Which is greater: 20 or t? t Let b be (1 + 0)*(0 - -1). Let c be (((-8)/4)/(-2))/20. Is b greater than or equal to c? True Let k = 27 + -18. Let r = 9 - k. Which is bigger: r or -2? r Let y(m) = -m**3 + 3*m**2 - 1. Suppose 2*u + 3*u - 5 = 0. Let j be y(u). Is j less than 1? False Let b(s) = s + 2. Let r be b(-2). Suppose 7*a - 12*a - 10 = 0. Let i be a/((-6)/4 - 2). Which is bigger: r or i? i Let r(f) = f - 79. Let o be r(27). Which is bigger: -51 or o? -51 Let k = 4 + -5. Let w be -3*(246/10 - 2). Let n = -68 - w. Are n and k nonequal? True Let s = -3 + -3. Let q be 53/(-91) + s/(-39). Is q not equal to 1? True Let z = -960381/28 + 34295. Let m = z + 32/7. Suppose -2 = 4*w + 2. Which is greater: m or w? m Let i be ((-1)/2)/(2/(-24)). Suppose i*f + 15 = f. Is -3 at most as big as f? True Let l(k) = -1734*k**2 - 8*k + 8. Let j be l(7). Let g = 426499/5 + j. Let v = -287 + g. Which is smaller: -1 or v? v Let n = 14 - 19. Let q = 0 + -4. Let o = q - n. Which is smaller: o or 2/9? 2/9 Let g be (2 - (-2)/(-8)) + -2. Let o = -3.8 + 10.7. Let r = o + -7. Which is bigger: r or g? r Let c(z) = -z**3 + 5*z**2 - 3*z - 3. Let u be (-1 - (-3 - 2)) + -1. Let y be c(u). Let b be (0 - 3) + y/2. Which is greater: 1 or b? 1 Let q be (-4)/16 + (-58)/(-8). Let h(t) = t - 6. Let m be h(q). Let g = -128/3 + 43. Which is smaller: m or g? g Let q = 3.9 - 2.92. Let x = q - -0.02. Which is smaller: x or -3? -3 Suppose 7 = 3*v + 10. Is v != -2/5? True Let q = 6 + -6. Which is smaller: q or -1? -1 Suppose -3*g = -3*m - 57, 12*g - 9*g = -2*m - 63. Which is greater: m or -1? -1 Suppose -4*g - 40 = -6*g. Let m = g - 10. Suppose 5*s - 5*l = 10, 2*s - 4*l - m = -0*l. Is s <= 2? True Suppose -y + 15 = 2*y. Let q = -10 + 14. Is y equal to q? False Let u = -4 + 4. Suppose -3*z + 3 = -u. Let y be (-4)/10*5/13. Which is smaller: z or y? y Let h = 2 + 3. Let s = -3 + h. Are s and -0.3 equal? False Suppose 3*a = -2*i + 3, -3*a + 6*a + 9 = 2*i. Let z = 0 + 0. Is a equal to z? False Let w = -7/10 + 1/2. Is w < 3? True Suppose 4*v = -v - 10. Let a be 15/(-20) - 15/12. Are v and a equal? True Let x(q) = -q**3 + 11*q**2 + 1. Let b be x(11). Which is smaller: -4/19 or b? -4/19 Let t = 12 - 13. Suppose -7 = -4*l - i + 18, 5*l = 4*i + 5. Suppose 5*y - 2*a - 3 = 0, -2*y + l*a = -13 - 5. Does y = t? True Let t be 5/(-7) - 4/14. Let i = -11 - -3. Let f be 16/22*(-2)/i. Is t greater than or equal to f? False Let m = -6 - -6. Is -0.1 less than or equal to m? True Let q(h) = 2*h + 11. Let b be q(-6). Let p be b + -1 - 0 - 3. Which is smaller: p or -11/2? -11/2 Let q be (-1)/4 + 44/(-16). Let c be 1 + -1 + (-10)/4. Are q and c equal? False Let x = -28973/66 - -439. Let t = -1/6 - x. Is -1 at least t? False Suppose -l + 8 = -5*s, 3*l - 2*s = -6*s + 5. Suppose -2*z - 3*t + 8 = 0, 2*t - 3 = -2*z + l*z. Suppose -3*n - z + 4 = 0. Which is bigger: n or 2/3? n Suppose 0 = -5*g + 5*y + 50, 8*y - 41 = -2*g + 3*y. Which is bigger: g or 15? 15 Let d(x) = -6 + 2*x + 3*x - 6*x. Let p be d(-4). Is p greater than -1? False Suppose 2 = 3*p - 1. Which is smaller: p or -2? -2 Let w be (-189)/114 - 6/(-4). Is 0 greater than w? True Let u be 9*(-5)/((-45)/6). Let l be ((-18)/(-15))/(u/40). Which is bigger: l or 7? l Let j = -4 - -5. Let s be (j/(-1))/((-21)/(-6)). Is -2 > s? False Let m be (-8)/(-36)*-3*3. Let q be m/((33/(-3))/(-1)). Let l be (-1 + 1)/(0 - -2). Are q and l non-equal? True Let r be (-4)/(-36)*2391/(-5). Let d = r - -209/5. Let u = d + 11. Is u <= 0? True Let p(d) = -d**3 + 5*d**2 - 5*d - 1. Let c be p(2). Suppose 0 = -h - h - 2. Let z be (1/7)/(h/3). Is z <= c? True Let w(n) = -4*n - 25. Let l be w(-11). Let x = l - 14. Which is bigger: 2 or x? x Let v be (-9878 + 2)/((-174)/(-8)). Let d = v - -454. Let u(s) =
{ "pile_set_name": "DM Mathematics" }
+ -1 + ((-873)/(-99) - (-58)/319)? -36 (-2324)/(-83) - (2 + 2166/84) 3/14 What is the value of (182*(26 + (-459)/18))/13? 7 What is 3*(-4)/(-14)*3530296/1788072? 22/13 Calculate (54/(-21))/(954/(-12614)). 34 What is (2/(-49)*(-16 - 975/(-78)))/(2 + 3)? 1/35 What is (2 + -17)*(644/(-21) + 33)? -35 Calculate (-109)/(5450/(-800)) + 2 + 1393/(-77). -1/11 Evaluate (2408/84 - 20)/((-104)/(-120) + (-2)/10). 13 ((2 - 19) + -2)*(-55 + -22 + 76) 19 Calculate (120/(-54))/(6070/7284). -8/3 What is the value of 0 + 33*144/4840 - 12/(-10)? 24/11 Calculate (30/9)/(-1)*(-117639)/3725235. 2/19 Evaluate 40 + 4298*(-222)/24087. 12/31 (-620)/3692 - (-52)/338 -1/71 Evaluate 356642/49192*4*1. 29 (-18)/(-20)*(-28640)/(-124584) 6/29 What is 48*-2 + 12171 + -12132? -57 What is the value of 1903/(-1730) + ((-128)/20)/(-8)? -3/10 What is (-31*(-25)/(-3875))/(10/(-3550))? 71 2345/(-4)*(-2032)/(-17780) -67 What is (-115)/29 + (-1)/(-3) - (-572)/(-16588)? -11/3 What is the value of 82/(-123) - (-6 + (-3332)/(-630))? 2/45 What is ((-946)/(-3096) - 1/12)*(-135)/105? -2/7 What is ((-247)/244 + 49 + -48)*((-1368)/(-108) + -18)? 4/61 What is the value of -45*(-57 - 1380/(-24))*2/(-12)*-2? -15/2 18/((-2700)/(-50)) - (420/261)/4 -2/29 Evaluate (-95)/(-171) - (22 + 12592/(-576)). 5/12 What is the value of 288/(-36) - (6 + (-2 - (-260)/(-22)))? -2/11 -30*444/301365*2/(-16) 1/181 (1 - (-24)/(-15)) + ((-100825)/(-4625))/((-1)/3) -66 (-54)/(-333)*(-4)/12 + (-2364)/74 -32 What is the value of (1904/(-636) - -3)*(-16 + 210/(32 + -18))? -1/159 What is the value of (-342672)/749595 - (1 + (-7)/5)? -2/35 Evaluate 8/516*-3 - 239085/4515. -53 (-48752)/4432*((-6)/(-3) + 3) -55 What is 45 + (-335)/(-67) + -57? -7 Calculate (-44)/231*2765/(-632). 5/6 Evaluate -5*(-70)/(-15)*(329/(-7) + 50). -70 What is (-11)/((15/(-675)*6)/((-8)/20))? -33 ((-7)/(-42))/(5/30)*(3 - 34) -31 Calculate 2/16 - (-18585)/(-840). -22 What is the value of ((-1288)/448*32)/(3 + (-1)/1)? -46 Calculate ((-185650)/17775)/(26/18 + (-3)/3). -47/2 ((-14640)/(-26352))/((2/9)/(1 + 1)) 5 What is the value of 4/2*20/(-40)*(-31559)/(-6644)? -19/4 Calculate (-20)/(-1870)*5066/1490. 2/55 ((-5238)/90 + 57)/(6/470) -94 What is 462/12*(-1972)/(-6902)? 11 Calculate (181/161 - 1)/((-12)/14)*(-429)/715. 2/23 Evaluate ((-7 - 37) + (-209 - -254))/((-1)/2). -2 What is the value of (-5457)/221 + (7/((-364)/328) - -6)? -25 (-104340)/(-1740) + 101/2929 60 Calculate (-1224)/1632*(4/10)/((-276)/(-43240)). -47 -8 - (-1288)/147 - 228/266 -2/21 Calculate (-128)/1920 - (-6)/9. 3/5 Evaluate 3 + (33/(25245/(-1598)))/(4/6). -2/15 ((-5)/(-25))/(-78 - (-483048)/6192) 86/5 Calculate 2553/37 - 43 - (-20)/(-1). 6 What is 8 - (-15 + (-5 - 65214/(-2282)) + 68/(-119))? -1/163 Calculate (-9 - (-4 - 1 - -84)) + 15/(15/4). -84 (-35 + 0 - 2)/(1/(-6)*1622/(-811)) -111 Evaluate 102/(-4)*2222/16665. -17/5 ((-5)/(-2) + 0)/(342000/(-30400)) -2/9 Calculate (1248/(-364))/(52*(-11)/(-154)). -12/13 Calculate 85107/12895*-4*20/(-24). 22 Calculate ((-2)/5)/((-1)/(6 + 1 - (-318)/(-44))). -1/11 (-6574)/(-1140) + 2/(-26 - -6) 17/3 What is the value of 93/465 - 64/(-5) - 12352/579? -25/3 Calculate (-213)/(-6) + 534/356. 37 Evaluate 216/(-12)*(18/(-30))/((-18)/(-15)). 9 What is the value of (-1)/(86/5246) - (-26 - 2)? -33 What is (32/(-90))/(((-112)/(-140))/(3 - 7))? 16/9 Evaluate ((-4)/(-12))/((-994)/(-462) + -2). 11/5 ((-13)/(-20) - 32/80) + (-23660)/1456 -16 Evaluate (-58)/(-406)*1113/583. 3/11 (13720/7350)/(21/15) 4/3 Evaluate (-14 + 14331/102)*4/11. 46 ((-175)/(-100) + -2)/(6 + (1110/(-48))/5) -2/11 Calculate (16/36)/((-720)/(-648)). 2/5 What is the value of (47/(19740/112) - 57/45)/(1/61)? -61 Calculate (-468)/52*(-3 - (-172)/18). -59 What is the value of 110*((-12558)/5005)/138? -2 Evaluate (0 - 5)/(1740/(-348)). 1 Evaluate 10 - ((-5119)/(-513) + (964/71577)/(4/22)). -1/19 What is (109 + 781)/(-89) + 42*1*2? 74 Calculate 3/42*(-36)/39*5*7. -30/13 Calculate ((-2)/(-4))/(((-17)/7650)/((144/162)/(-4))). 50 (-51)/(-238)*(1778/(-70) - -25) -3/35 (18/15)/(21/(-969 + 24)) - (-13 - -3) -44 -15 - (7 - -3)*88/(-176) -10 9/8 + 4 + -2 + 3211/(-1352) 3/4 Calculate (4769 + -4691)*1*-2*(-1)/4. 39 Evaluate (24617/1236)/(-239)*90/4. -15/8 31/(-62) + ((-1)/(-3))/(5332/10062) 4/31 Evaluate 146/(-21) - (25 - 143)/(-2478) - 1*-67. 60 What is ((-321)/(-21))/((-499)/(-998)*(-8)/(-28))? 107 Evaluate ((-15157)/(-3059) + -5)*171. -54/7 What is the value of ((-3312)/(-345) + 0)*(-20)/48*-3? 12 What is the value of (-36 + (-6608)/(-182))/(96/468)? 3/2 Calculate ((-1)/24)/(219/(-1314)*(-2)/3). -3/8 What is 13 - (3 - -18) - (8 + -41 + 0)? 25 What is the value of -77 - 15/(4320/(-22068))? -3/8 What is -1*(-83)/((-2739)/24)? -8/11 (2205/(-12))/(-3) - (2/(-48))/((-7)/42) 61 (8 - (30/25)/((-6)/(-15))) + 70 + -61 14 2/21 - (7360/368 - (-4173)/(-210)) -1/30 What is the value of -1*3 + 37560/12600? -2/105 What is (((-12)/16)/(180/(-192)) + 0)/((-4)/(-170))? 34 What is the value of ((891/(-187))/27)/(2 + (-5)/4)? -4/17 ((-39942)/(-7608))/((-14)/12) - 902/(-200) 1/100 What is the value of (2 + 42)/616 - (324/(-616))/27? 1/11 Evaluate (-8)/6*-3*((-9882)/(-111996))/(180/17). 1/30 Calculate ((-8)/(-10) - 5/(425/748)) + 258/21. 30/7 Calculate (25/51 - (-232)/(-348))*(-2 - 39/(-18)). -1/34 Calculate 59532/(-2788) + 54/153. -21 7*6/315*(-6)/(-21)*(252 + -249) 4/35 Calculate (-70)/(-12) - 17904538/1942356. -44/13 (-901)/1166*11*6/(-102) 1/2 Calculate (3/(-9) + (-768)/(-2048))*(1 + (-11)/(-4)). 5/32 Evaluate 1*(-2 + 1) - ((-1394)/(-37638) - 271/27). 9 What is 89400/(-78225)*1/(36/147)? -14/3 Evaluate ((-3)/(1*81))/(8881/(-7433397)). 31 What is 1*2*(-1)/2 + -2312*(-416)/1046656? -3/37 Evaluate (-17736)/(-22170)*2/(-36). -2/45 What is the value of 87 + -93 - (0 + ((-3620)/(-121))/(-5))? -2/121 What is (5665/440)/103*(40/5 + -4)? 1/2 What is (44/(-110))/((-76)/2320) - 24/2? 4/19 Calculate (-29 - -20) + 13 + 183/7 + 2/(-14). 30 What is the value of (-1451)/23 - 864/(-8280)*40/48? -63 Evaluate (28564/1036 - 27)/(60/(-28)). -4/15 What is the value of 132/(-15)*75/(-1242) + 2988/(-6723)? 2/23 What is the value of (-548760)/(-7532) - (75 + -1)? -8/7 What is the value of (1253/2506)/((-26)/(-32))? 8/13 What is the value of (12 - 18) + (182/24 - (-7)/(-28))? 4/3 What is 22 - -5 - (-3056)/(-112)? -2/7 ((-14)/105)/((-4)/(-5)) - (-2750)/(-60) -46 What is the value of 0 + -65 - (-634 - -615)? -46 0 - (2 + 0 - -42) -44 Evaluate 3/(-6)*-14*-42*11/30723. -2/19 What is the value of 359/(-33) - 8*1/12 - (-14 + 3)? -6/11 Calculate (1024/(-10))/(-2) - (-4)/(-20) - (82 - 76). 45 Calculate ((7/(-3 - -38))/(-1))/(24/240). -2 What is -109 - (99 + -46 - 89)? -73 209/(-10) + (294 - 223516/760) -21 Evaluate ((1 - 141/105)*-20)/(30 - 5486/182). -48 What is the value of ((-33)/(-276))/(-53 + (-4329)/(-74))? 1/46 Evaluate (9 - (-25)/150*-72) + 11. 8 -108*(-17)/136 + 6/12 14 What is the value of (-20732465)/(-300520) - 3/(-264)? 69 Evaluate (-39890)/(-366988)*(-28)/5. -14/23 What is the value of 675/(-6)*(10336/(-306))/76? 50 (18/(-144))/(14 + (-14586)/1040)*29*-1 -145 What is ((-123)/(5/(-3) - (-342)/108))/(-2)? 41 Evaluate (-180)/15 + (-630)/(-14) + 5. 38 Calculate (-21)/((-29862)/48312) - (-1700)/(-50). -2/79 What is the value of (-84)/39 - 372/(-2418) - (0 + 63)? -65 -10*6/(-108)*(432/840 - 10/14) -1/9 (133/(-19))/161*(4/(-8) + 9/(-6)) 2/23 Evaluate (-504)/315 - ((-328)/(-120) - (-3)/(-9)). -4 What is (-176)/34 + 807/4573 + 12? 7 6/4*(-53 - (-8000)/150) 1/2 ((-42971)/(-1067) + -45)/((-4)/(-22)) -26 Evaluate (-3905)/994*(6/15 - 0/1). -11/7 Calculate (-2294526)/5116*(-4)/26. 69 Calculate ((-10)/15)/(((5270/210)/17)/((-115)/(-161))). -10/31 Calculate (-135)/90*2/25*(-40)/30. 4/25 What is the value of 1138727/(-183084) + ((-35)/(-165))/(-7)? -25/4 What is the value of ((-43)/6235*0)/(-5)? 0 What is (2016/24 - 106) + -73? -95 What is the value of 0 + (-2889)/(-24) + 17705/28328? 121 What is the value of 505 + -511 + 11/(-110)*((-1696)/14)/2? 2/35 (13/(-6))/((-1208)/(-9060)) + (-14)/8 -18 (161 - 162)*(-5)/65 1/13 Calculate 652/(-498) - (-236)/177. 2/83 What is (11 + -8)*((-22056)/2448 + 9)? -1/34 Evaluate -2 - (-980)/35 - 41. -15 Evaluate -1 + (-1)/7 - (-5112)/504 - (-29 - -117). -79 Evaluate 10/(-55)*10329/12207 - (-6)/(-13). -8/13 What is the valu
{ "pile_set_name": "DM Mathematics" }
6*p**2 - 2. Let b(d) = 12*d**2 + 5*d + 6. Give 6*b(g) + 5*c(g). 7*g**2 + 1 Let h(t) = -15228*t**3 - 18*t - 36. Let u(y) = -4351*y**3 - 5*y - 10. Calculate -5*h(g) + 18*u(g). -2178*g**3 Let q(c) = -c**3 + c + 1. Let g be 24/10 + (-2)/5. Suppose 7 = p + m, 27 = 3*p - g*p + 5*m. Let j(r) = -7*r - 132 + 10*r**3 + 127 - p*r**3. Give j(z) + 5*q(z). 3*z**3 - 2*z Let o(m) be the second derivative of 0 - 2/3*m**3 - 1/2*m**2 + 4*m. Let b(a) = -7*a - 1. Calculate -6*b(t) + 11*o(t). -2*t - 5 Let l(o) = 4*o**3 - 6*o**2 + 5*o - 31. Let a(y) = y**3 - y**2 + y - 6. Let r(t) = 5*a(t) - l(t). Let f(d) = 9*d**3 - 3*d**2 - 4*d - 3. What is -f(z) - 3*r(z)? -12*z**3 + 4*z Suppose -3*f + 470 = 2*f - 5*w, 2*f - 188 = -2*w. Let n = 93 - f. Let j(q) = -4*q**2 - 3*q + 4. Let k(c) = c**2 + c - 1. Determine n*j(d) - 6*k(d). -2*d**2 - 3*d + 2 Let g(s) = 7*s - 2. Let v be (0 + 1)*(5/5 + 0). Let q(x) = -7 + v + 5 + 0. Determine g(l) - 2*q(l). 7*l Let y(c) = 24*c**2 - 4. Let f(i) = 11666 + 3*i - 11673 - 3*i + 47*i**2. Calculate 4*f(b) - 7*y(b). 20*b**2 Let y(m) = -39*m**2 - 10. Let t(p) = -3*p**2 + p - 4. Calculate -2*t(o) + y(o). -33*o**2 - 2*o - 2 Let y(c) = 922*c**2 + 2*c + 18. Let b(a) = 2768*a**2 + 5*a + 48. Determine -3*b(t) + 8*y(t). -928*t**2 + t Let s(c) = -597*c + 1. Let d(o) = 1786*o - 4. Give 3*d(l) + 10*s(l). -612*l - 2 Let j(k) = k**2 - 2*k - 5. Let l(a) = -a**3 - 6*a**2 + 6*a - 2. Let f be l(-7). Suppose -2 = -f*h + 8. Let w(y) = -4*y**2 + 9*y + 21. Calculate h*w(i) + 9*j(i). i**2 - 3 Let m(y) = -7*y + 209. Let q(k) = -6*k + 213. Give -4*m(v) + 5*q(v). -2*v + 229 Let b = -4263 - -4268. Let x(r) = 7*r - 3. Let i(a) = -8*a + 4. Calculate b*x(f) + 4*i(f). 3*f + 1 Let i(f) = -4*f - 18. Let s(d) = -15 - 6*d + 3 - 10 - 5. Let k be 1*10 + (-1050)/70. What is k*s(a) + 7*i(a)? 2*a + 9 Let m(i) = -84*i + 24. Let o(f) = -105*f + 24. What is -6*m(j) + 5*o(j)? -21*j - 24 Let c(q) be the second derivative of -q**4/2 + q**3/2 - 75216*q. Let h(t) = -2*t**2 - 2*t + 9*t**2 + 0*t. Give 2*c(l) + 3*h(l). 9*l**2 Let i(w) = 3*w**2 - 2. Let v(s) be the second derivative of s**3/6 - 2943*s. What is -i(c) - 2*v(c)? -3*c**2 - 2*c + 2 Let j(g) = 3*g**3 - 4*g**2 + 4*g - 1. Let x(m) = 8*m**3 - 11*m**2 + 11*m - 3. Let n = -1631 + 1642. Calculate n*j(o) - 4*x(o). o**3 + 1 Let g(f) = 425*f**2 + 35*f + 35. Let p(r) = -25*r**2 - 2*r - 2. Let a = -4309 - -4344. Determine a*p(d) + 2*g(d). -25*d**2 Let i(o) = -3075*o + 30. Let b(a) = -1543*a + 14. Give -13*b(p) + 6*i(p). 1609*p - 2 Let y(z) = 5*z**2 + 17*z + 10. Let k = -21534 - -21547. Let t(u) = 2*u**2 + 8*u + 5. Determine k*t(c) - 6*y(c). -4*c**2 + 2*c + 5 Let o(q) = q**3 + q - 1. Suppose -22*i + 14*i + 24 = 0. Let t(f) = 7*f**i + 5*f - 7*f - f + 10*f - 6. Determine -6*o(w) + t(w). w**3 + w Suppose -2*s - 15 = -5. Let g(b) = b + 1. Suppose 0 = 2*d - 3*q - q, 10 = 5*q. Suppose 2 = -3*p + d*p. Let u(o) = 3*o + 2. What is p*u(z) + s*g(z)? z - 1 Let n be ((-35)/5 + 5)/(4/8). Let j(u) = u**3 + 5*u**2 + 5*u - 1. Let y be j(n). Let l(v) = 7*v + 6. Let t(i) = -8*i - 7. Determine y*l(z) - 4*t(z). -3*z - 2 Let a(l) = -4*l**2 - 3*l + 3. Let r(j) = -3*j - 9. Let x be r(-3). Suppose -i = 3*k - 3*i + 7, x = i + 1. Let q(w) = 7*w**2 + 7*w - 7. What is k*q(s) - 7*a(s)? 7*s**2 Let q(c) = -4*c**3 - 2*c**2 + 3*c - 2. Let g = -2275 - -2277. Let j(l) = -4*l**3 - 3*l**2 + 3*l - 3. Determine g*j(t) - 3*q(t). 4*t**3 - 3*t Let z(a) = 3*a. Let i(v) = 139*v + 22. Let x(m) = -101*m - 16. Let n(f) = -8*i(f) - 11*x(f). What is -5*n(t) - z(t)? 2*t Let s(c) = -13*c + 17. Suppose -5*b - 5 = -4*b - 3*f, 3*b = -f - 5. Let o(n) = -736304 + 2*n - 5*n + 736308 + 0*n. What is b*s(z) + 9*o(z)? -z + 2 Suppose 0 = -5*a - 11 - 9. Let v(z) = -13*z + 129. Let k(p) = 12*p - 115. Let c(s) = -9*k(s) - 8*v(s). Let o(j) = -3*j + 4. Calculate a*c(t) + 3*o(t). 7*t Let a(d) = 4*d + 2. Let v(n) be the first derivative of 100 - 3/2*n**2 - 2*n. Determine -4*a(c) - 5*v(c). -c + 2 Let c(b) = -264*b**2 - 14*b - 2. Let g(u) = 251*u**2 + 13*u + 2. Determine 4*c(m) + 5*g(m). 199*m**2 + 9*m + 2 Let j(s) = -119*s - 9. Let f(r) = 124*r + 8. Determine -5*f(w) - 4*j(w). -144*w - 4 Let n(q) = -2*q**2 - 3*q + 9. Let x(z) = -5*z**2 - 2*z - 1. What is n(i) - x(i)? 3*i**2 - i + 10 Suppose -17 = 106*s - 107*s. Let i(u) = 13*u + s - 18 - 12*u. Let v(x) = 8*x - 11. Calculate -6*i(r) + v(r). 2*r - 5 Let l(p) = -25*p - 17. Suppose 4*o - 2*t = -194, 49*o + 683 = 36*o - 4*t. Let j(x) = -3*x - 2. Calculate o*j(h) + 6*l(h). 3*h Let q = 2 + 37. Let j be q*(0 - 4/(-12)). Suppose -j*i - 12 = -9*i. Let m(k) = -2*k + 4. Let y(g) = -g + 2. Give i*m(c) + 5*y(c). c - 2 Suppose 45 = 40*z + 205. Let x(s) be the first derivative of 2*s**3/3 - 5*s**2/2 + 2*s - 2. Let y(f) = -f**2 + f. Calculate z*y(p) - x(p). 2*p**2 + p - 2 Let w(r) = r**2 + 4*r. Let x(v) be the second derivative of v**4/4 + 3*v**3/2 + 642*v. Let q = 11 - 7. What is q*x(m) - 9*w(m)? 3*m**2 Let h(g) = 2*g**3 - 56*g**2 + 45*g. Let u(p) = p**3 - 35*p**2 + 30*p. Determine 5*h(s) - 8*u(s). 2*s**3 - 15*s Let o(u) = 2*u**2 - u + 6. Let v(i) = -29*i**2 + 4699*i - 163. Let c be v(162). Let s(d) be the second derivative of -d**2/2 - d. Give c*o(j) - 6*s(j). -2*j**2 + j Let u(i) = -10*i - 40. Let h(c) = -30*c - 166. What is 2*h(s) - 7*u(s)? 10*s - 52 Let q(v) = -6*v**3 - 11*v**2 - 15. Let a(x) = x**3 + x**2 + 2. Let l(j) = -22*a(j) - 2*q(j). Let k(c) = -c - 5 + 2*c**3 + c + 8. What is -14*k(p) - 3*l(p)? 2*p**3 Let c = 330 - 324. Let r(j) = 9*j**2 + 8*j**3 - c - 2*j + 5*j - 5*j**3 - 10*j. Let t(y) = y**3 + 3*y**2 - 2*y - 2. What is 2*r(n) - 7*t(n)? -n**3 - 3*n**2 + 2 Let s(i) = 2*i**2 - 6*i - 6. Suppose 4*f = -p + 3, 2*f = -p - 3*p + 12. Suppose f*w = -6*w + 24. Let m(v) = -4*v**2 + 12*v + 11. What is w*m(l) + 7*s(l)? -2*l**2 + 6*l + 2 Let x(o) be the third derivative of -4/3*o**3 - 27*o + 0 + 1/10*o**5 + 1/3*o**4 + 2*o**2. Let g(n) = 4*n**2 + 5*n - 5. Calculate 8*g(k) - 5*x(k). 2*k**2 Let k(n) be the first derivative of -n + 1. Let o(u) = -2447*u + 7338*u - 2447*u - 2447*u - 8. Calculate -6*k(b) + o(b). -3*b - 2 Suppose 7*f = 3*f. Suppose f = k - 3 + 1. Let y(u) = 2*u**2 + u. Let d(o) = 2*o**2 + o. Let x be 1647/(-732)*(-4)/(-3). What is k*y(g) + x*d(g)? -2*g**2 - g Let g(k) = 7*k - 10. Let a(s) = 13*s - 23. Let w(x) = 4*a(x) - 9*g(x). Let b(f) = 22*f + 5. Calculate 2*b(o) + 5*w(o). -11*o Let n(j) = -j**3 - 23*j**2 - 39*j + 64. Let i be n(-21). Let z(r) = r. Let c(m) = 6*m - 8 + 8. Determine i*c(a) + 3*z(a). 9*a Let h be 6 + (-10)/((-10)/(-3)). Let x(r) = -7 + 9 + r - h. Let a(m) = m**2 - 3*m + 2*m - 3*m. Give -a(q) - 4*x(q). -q**2 + 4 Let x(f) = f + 7. Let a(l) = -6 + 129*l - 1 - 261*l + 131*l. Give -3*a(c) - 4*x(c). -c - 7 Let a(p) = 3197*p - 104. Let c(w) = -1599*w + 46. Determine 4*a(r) + 9*c(r). -1603*r - 2 Let m(h) = 206603*h + h**3 - 2*h**3 - h**2 - 206602*h + 1. Let c(f) = 3*f**3 + f**2 - 2*f - 2. Let p be (-56)/12 - 4/(-6). Calculate p*m(x) - 2*c(x). -2*x**3 + 2*x**2 Let r(l) = -1176*l. Let h(o) be the first derivative of -47*o**2/2 - 2213. What is 126*h(b) - 5*r(b)? -42*b Let w(v) = -7*v**2 + 4*v + 3. Let n(h) = -5*h**2 + 5*h + 1. Give 3*n(z) - 2*w(z). -z**2 + 7*z - 3 Let p(h) = 5*h**3 + 72*h**2 + 2589*h - 1. Let w(l) = -l**3 - 16*l**2 - 647*l. Give -2*p(n) - 9*w(n). -n**3 + 645*n + 2 Let s(i) = -32*i**2 - 2*i + 38. Let c(p) = 25*p**2 + 3*p - 37. Calculate -5*c(j) - 4*s(j). 3*j**2 - 7*j + 33 Let d(p) = -13 - 5995*p + 5998*p + 2. Let c(j) = j. Let n(g) = 4*g + 7. Let y(w) = 6*c(w) - n(w). Determine -5*d(k) + 8*y(k). k - 1 Let y(w) = w + 3. Let n(o) = -465*o - 5. Calculate -n(s) - 2*y(s). 463*s - 1 Let t(d) = -d + 21. Let w(z) = -152. Calculate -t(v) + w(v). v - 173 Let n(g) = 2*g. Let o(x) be the third derivative of -x**4/8 - 8*x**2. Let q be (-8322)/(-1197) - (-1)/21. Calculate q*n(c) + 5*o(c). -c Let s(x) = x**2 + 30*x - 19. Let t be s(-31). Suppose 138 = -11*h - t*h. Let u(c) = 17*c - 2. Let k(i) = -9*i + 1. Give h*u(g) - 11*k(g). -3*g + 1 Let u(i) = 2*i**3 - i**2 + i + 2. Let v(t) = -2*t**3 + 14*t**2 + 4*t - 8. Let x(q) = 4*u(q) + v(q). Let s(c) = -c**3 - c**2 - c. Give -8*s(r) - x(r). 2*r**3 - 2*r**2 Let c(q) = 4*q**3 + 2*q**2 + q. Let k(m) = 5*m**3 + 3*m**2 + m + 1. Let u(p) = -60*p - 838. Let j be u(-14). What is j*k(b) - 3*c(b)? -2*b**3 - b + 2 Suppose 40 +
{ "pile_set_name": "DM Mathematics" }
4184 90249 divided by 67 1347 Calculate -9740 divided by -92. 2435/23 658951 divided by 71 9281 What is -3 divided by 98508? -1/32836 Divide -3444 by 3. -1148 Calculate -67 divided by 10680. -67/10680 What is 291 divided by 905? 291/905 Calculate -2 divided by -4395. 2/4395 What is 538005 divided by -155? -3471 Divide -318310 by 2. -159155 -32571 divided by 10857 -3 What is 283610 divided by 1795? 158 -2 divided by -96061 2/96061 What is -2455 divided by 2953? -2455/2953 -7576 divided by -3788 2 Calculate -219 divided by -1494. 73/498 Calculate -5 divided by 102423. -5/102423 -1113 divided by 6 -371/2 What is -50149 divided by 97? -517 184555 divided by 5 36911 Divide 6004 by 153. 6004/153 What is 4 divided by -87099? -4/87099 Divide 168966 by -3. -56322 368 divided by -140 -92/35 424896 divided by 6 70816 53828 divided by 26914 2 What is -5964 divided by 1? -5964 Divide 12811 by -178. -12811/178 282888 divided by -11787 -24 Divide 237 by 184. 237/184 Divide 63 by -612. -7/68 419 divided by 1042 419/1042 What is 11903 divided by 150? 11903/150 Divide 540706 by 53. 10202 Calculate -2641 divided by -145. 2641/145 -6243831 divided by 567621 -11 What is -2108 divided by -41? 2108/41 What is -74 divided by 2? -37 7737 divided by -6 -2579/2 What is 4 divided by 3558? 2/1779 Divide -1663218 by -2. 831609 2 divided by -106367 -2/106367 Divide 102 by -51277. -102/51277 Divide -25 by 8791. -25/8791 Calculate -12884 divided by -12884. 1 What is 20417185 divided by 5? 4083437 What is 242238 divided by 40373? 6 Divide -26 by 66562. -13/33281 -1307680 divided by 22 -59440 Divide 252315 by -405. -623 Divide 47950 by -1. -47950 Divide -162648 by -81324. 2 3664 divided by -1832 -2 Divide -672 by -12. 56 -4582 divided by 7 -4582/7 Divide 476169 by -1541. -309 Divide 14178 by -48. -2363/8 -124 divided by 81 -124/81 Divide 1106052 by 183. 6044 Calculate 18338 divided by -53. -346 -989 divided by 48 -989/48 34645 divided by -2665 -13 Divide 5 by 328452. 5/328452 What is -106831 divided by -23? 106831/23 5 divided by 60611 5/60611 Divide -21959 by 8. -21959/8 -53 divided by -405 53/405 Divide -11769724 by 4. -2942431 -108978 divided by -886 123 Divide -16226 by 20. -8113/10 What is 2 divided by -9927? -2/9927 Divide 4 by 58359. 4/58359 1 divided by 11458 1/11458 What is -1670726 divided by 49139? -34 17 divided by 17608 17/17608 -4 divided by -1495901 4/1495901 447578 divided by 223789 2 -12672 divided by 12 -1056 Calculate 3 divided by 18851. 3/18851 -667083 divided by 5 -667083/5 Divide -49441 by 3. -49441/3 Calculate -179187 divided by 59729. -3 What is 2720029 divided by -6? -2720029/6 Calculate -122378 divided by -2. 61189 Calculate 1439 divided by -2046. -1439/2046 What is -622 divided by 380? -311/190 Calculate -1 divided by -71171. 1/71171 What is 116645 divided by 116645? 1 Calculate -259 divided by -2012. 259/2012 100540 divided by 25135 4 -48 divided by -1111 48/1111 What is -1530 divided by -51? 30 What is -197785 divided by 5? -39557 Calculate -83280 divided by -6940. 12 What is -1810059 divided by -2? 1810059/2 Calculate -654 divided by -4. 327/2 3675 divided by 95 735/19 Divide -5 by 67499. -5/67499 Calculate 234855 divided by 2763. 85 -8284 divided by -76 109 -48 divided by 1161 -16/387 What is -3245 divided by -44? 295/4 Calculate 1808751 divided by 1808751. 1 1554 divided by -119 -222/17 Calculate 2564 divided by 303. 2564/303 -11160 divided by 3 -3720 What is -1078668 divided by -119852? 9 915014 divided by -457507 -2 Divide -15 by 15747. -5/5249 Calculate -228191 divided by -7361. 31 What is 4471 divided by 164? 4471/164 Calculate -922780 divided by 4292. -215 Divide 639639 by -30459. -21 -11296 divided by -16 706 -34597 divided by 3 -34597/3 -7965 divided by -531 15 Divide 9 by 3541. 9/3541 Calculate 9199 divided by 17. 9199/17 Divide -4989704 by 152. -32827 Calculate 0 divided by 55331. 0 What is -5469 divided by -720? 1823/240 -4 divided by 520336 -1/130084 Calculate 6003318 divided by -337. -17814 Divide -4798 by -37. 4798/37 Divide -6475 by -3. 6475/3 295626 divided by 1699 174 What is -320 divided by -17? 320/17 What is 113484 divided by -6? -18914 Calculate -16 divided by -3717. 16/3717 1 divided by -2892 -1/2892 What is -142563 divided by -3? 47521 What is -115144 divided by -6? 57572/3 Divide -65931 by -21977. 3 What is 679528 divided by 3? 679528/3 Calculate 52 divided by -2259. -52/2259 Divide 1656054 by -6. -276009 Calculate -317060 divided by -317060. 1 Calculate 145568 divided by -4549. -32 Calculate 7 divided by -31599. -7/31599 What is 34 divided by -28011? -34/28011 -3673 divided by -3 3673/3 Calculate -5440 divided by 68. -80 What is -1540 divided by -20? 77 87792 divided by 24 3658 What is -3 divided by -23661? 1/7887 Divide 83463 by 4. 83463/4 What is -7 divided by -151858? 1/21694 104782 divided by 1 104782 What is 87774 divided by -2? -43887 1846 divided by 837 1846/837 558 divided by 93 6 Divide -20310 by 6770. -3 What is 46500 divided by -62? -750 Divide -49881 by -16627. 3 4637 divided by 194 4637/194 What is -286968 divided by -12? 23914 Divide -18 by 4523. -18/4523 Calculate -150250 divided by -1. 150250 18232 divided by -2279 -8 Divide -115352 by -4. 28838 809340 divided by -2 -404670 Divide 76843 by -76843. -1 Divide -74526 by -2. 37263 3 divided by -99240 -1/33080 Calculate -1162 divided by 1. -1162 -2457 divided by -39 63 Calculate 9 divided by -199295. -9/199295 -23784 divided by 1 -23784 What is 419133 divided by 139711? 3 What is 144452 divided by 2948? 49 What is 558096 divided by -42? -13288 Divide 4 by 14150. 2/7075 What is 5758 divided by -80? -2879/40 What is -310700 divided by -23900? 13 -8 divided by -568969 8/568969 What is -57424 divided by -388? 148 What is -5721 divided by -1? 5721 -3326441 divided by -4 3326441/4 What is 27489 divided by 119? 231 -7196 divided by 7196 -1 Divide -465 by -280. 93/56 Divide 2388 by 8. 597/2 Divide -21 by 13880. -21/13880 Calculate -1534332 divided by -17636. 87 What is 236584 divided by -118292? -2 Divide 4 by -1259666. -2/629833 -35645 divided by 6 -35645/6 What is 29124 divided by 4? 7281 -23785 divided by 2 -23785/2 -566470 divided by -2 283235 Divide 274880 by -68720. -4 Divide -844 by -46. 422/23 What is -2175 divided by 13? -2175/13 Divide 2935264 by -91727. -32 What is 2435406 divided by 811802? 3 Calculate 1 divided by -434. -1/434 -317013 divided by 3 -105671 4 divided by -27689 -4/27689 What is 4066271 divided by 11? 369661 What is -155 divided by -265? 31/53 Calculate -67747 divided by 37. -1831 Calculate 47564 divided by -46. -1034 Calculate 11188 divided by 51. 11188/51 Divide -192558 by 201. -958 What is 201872 divided by 1147? 176 Calculate 2 divided by -57923. -2/57923 -19284 divided by -1607 12 Divide -149304 by -2. 74652 5601631 divided by 7 800233 What is 208740 divided by 52185? 4 2666510 divided by -5 -533302 What is -471806 divided by 5? -471806/5 Divide -113153 by 1. -113153 Calculate 3 divided by 73892. 3/73892 Calculate -394016 divided by 2. -197008 Calculate 4 divided by 42686. 2/21343 Calculate -110796 divided by 1. -110796 What is 349825 divided by -69965? -5 58830 divided by -3 -19610 What is 16 divided by -1292? -4/323 Calculate -21808 divided by -21808. 1 What is 2372868 divided by 1186434? 2 Divide 283215 by -5. -56643 1148 divided by -287 -4 -228 divided by 128 -57/32 -3098 divided by 221 -3098/221 Divide -25 by -9893. 25/9893 Calculate 951696 divided by -18. -52872 -4 divided by 180922 -2/90461 Divide 19174 by -2. -9587 What is 291110 divided by 4? 145555/2 What is 15 divided by -3767? -15/3767 Divide 106733 by -3443. -31 Divide -4108 by 52. -79 -2146 divided by 1108 -1073/554 What is -33235 divided by 5? -6647 Divide -16 by 78. -8/39 330 divided by 277 330/277 -44766 divided by 3 -14922 -201123 divided by 4 -201123/4 -3598 divided by 34 -1799/17 Divide -18724 by 45. -18724/45 0 divided by 15289 0 1842 divided by 160 921/80 What is -1487 divided by -1714? 1487/1714 Calculate 0 divided by -156940. 0 Divide -8 by 12578. -4/6289 Divide -18092 by 18092. -1 -98202 divided by 6 -16367 Calculate -5 divided by 49659. -5/49659 Divide -5 by -657793. 5/657793 Calculate 6916 divided by -2. -3458 Divide -5078309 by -2. 5078309/2 -42848 divided
{ "pile_set_name": "DM Mathematics" }
factor of j? False Suppose -8 = 2*w - 38. Let a be (-1)/6 + -33*((-115)/(-18) + -8). Let k = w + a. Is k a multiple of 17? True Suppose -2*n + 22*k = 21*k - 13835, 3*n + 3*k = 20757. Is 11 a factor of n? False Suppose -6*d + d = -4*d. Suppose -i - i - 2*k + 32 = d, -2*i + 35 = -k. Suppose -11*g - 396 = -i*g. Is g a multiple of 33? True Is -51 + 69 + 108*79 a multiple of 10? True Is ((-56)/1)/((-324)/27054) a multiple of 2? True Suppose 148278 = 46*s + 13*s - 20*s. Does 18 divide s? False Is (8/30*(-520)/(-8))/(62/37479) a multiple of 62? True Let u(v) = 3*v + 2. Let y be u(-2). Let i be y/6*(-12)/(-8). Let m = 101 - i. Is 15 a factor of m? False Suppose -114 = 4*n - 274. Let b = n + 55. Is 19 a factor of b? True Let t(x) = 2*x**3 - 4*x**2 - 5*x + 2. Let g be t(3). Suppose -g*s = 5*j - 2640, 5*s + 8*j - 2680 = 13*j. Does 38 divide s? True Suppose 175800 = 88*h - 41648. Does 27 divide h? False Suppose -4*f - 3 = 3*c, f - 1 = 2*c + 4*f. Let l be c/(5/(-602)) - (-18)/6. Suppose l = o + 4*o. Is o a multiple of 26? False Let c be 5/(-20) + (-148)/(-16). Let z be (c/(-18))/(2/640). Is (z - 8)*(-6)/4 a multiple of 36? True Is 65 a factor of (-12 + 1 + -9765)/((-8)/20)? True Let u = -16 - -18. Suppose 48 = u*n - 0*n. Does 12 divide ((-4)/(-2) - -43)/(n/16)? False Let i be 786/(-9) - 7/(-21). Let h = 246 - 86. Let b = h + i. Does 11 divide b? False Suppose -34*a = -36*a + 68. Let f(b) = -96*b - 9*b**3 + a*b**3 - 5*b**2 + 95*b + 2 + 3*b**2. Is 3 a factor of f(1)? True Let l = 4032 + -1144. Is l a multiple of 73? False Let w = -2 - -6. Let f(h) = h**2 - 25*h - 303. Let t be f(-9). Does 15 divide w/(-18) + -425*t/(-27)? False Let j be (0 - 26)/(-3*5/(-15)). Let g(u) = u**2 + 33 + 23*u + 7 - 19 + 10. Is g(j) a multiple of 21? False Let l be (-9 - -9)/(-11) + 1*3581. Suppose -l - 2425 = -7*a. Does 66 divide a? True Let l be (0/2)/(5/(-20)*4). Is ((-180)/6)/(l + (-6)/16) a multiple of 25? False Suppose 0 = 31*y + 20*y - 25653. Let m = y - 443. Does 15 divide m? True Suppose 8*o + n = 9*o + 8, -o = 5*n + 26. Let x(j) = 29*j**2 + 185*j - 4. Does 21 divide x(o)? True Suppose 1598696 = 84*l - 1090228. Does 290 divide l? False Let l = 338 + -334. Suppose 20*m - 379 = 19*m + a, -l*m = 2*a - 1492. Does 18 divide m? False Let h be 5 + (5/(-10) - (-1)/(-2)). Is 0 + 422 + -4 - 20/h a multiple of 59? True Suppose 2*a + 0*a - 8 = 0. Let d(o) = -13*o - 15. Let l be d(-1). Is 17 a factor of (l/a)/((-9)/1458)? False Let h = 792 - 71. Suppose 9*w - 980 - h = 0. Does 7 divide w? True Let b(z) = 5*z - 105. Let q be (-506)/(-12) - 9/54. Does 21 divide b(q)? True Is -10*((-22)/(-28) + (-10)/35) + 4458 a multiple of 36? False Suppose -126596 = -26*z - 14796. Suppose -2*u + 1685 = 5*y, 140*y = 5*u + 135*y - z. Is u a multiple of 26? False Suppose -22*s = 29*s - 23*s - 293832. Is 22 a factor of s? True Does 37 divide 7857 + 104/(-4) + 13? True Suppose 248 = 14*n - 172. Let y = -84 + n. Let w = 43 - y. Is 7 a factor of w? False Let h = 5712 - 4056. Is 18 a factor of h? True Suppose 126*l = 129*l. Suppose y = 4*x + 195, -2*y + 2*x + 163 + 203 = l. Is y a multiple of 7? False Let h = -48 + 53. Suppose 452 = 5*m - 2*m + 4*p, h*m = -4*p + 764. Does 12 divide m? True Is 18 a factor of -5 - (0/1 + -575 + -6)? True Let t = 1672 + -734. Suppose 0 = 5*k + 5, 3*w = 3*k + t + 796. Does 27 divide w? False Let v(j) = 29*j**2 + 22*j - 93. Does 6 divide v(-5)? True Suppose -93*c - 928 + 3718 = 0. Suppose 56 = -2*t + 196. Let w = t - c. Is 8 a factor of w? True Let q be 370/15*(-42)/(-4). Let k = -1067 - -1323. Suppose -k*m + q*m - 441 = 0. Is m a multiple of 60? False Let h be 8/12*6 - -7. Suppose h*d + 8 = 30. Suppose -2*j + 5*l = -55, j - 3*l = -d*j + 78. Is j a multiple of 7? False Let a(i) be the third derivative of i**5/30 - 7*i**4/24 + 5*i**3/6 - 7*i**2. Let n(v) = -2*v**3 + 11*v**2 - 5*v + 4. Let w be n(5). Does 9 divide a(w)? True Let q(l) = 4*l**2 + 47*l - 101. Is q(-32) a multiple of 47? True Does 3 divide (7578/45*-5)/((-2)/8)? False Suppose -42*z + 54*z + 12 = 0. Let g(c) = -619*c**3 + 3*c**2 + 2*c. Does 62 divide g(z)? True Let y = -52 - -52. Suppose y = 32*j - 33*j + 198. Let s = j - 99. Does 13 divide s? False Let s be 1*(-5 + -3 + 3). Let r be (-5)/s + 1 + 2. Let h(y) = -y**2 + 5*y + 14. Is 3 a factor of h(r)? True Suppose 5*w = -0*w - 120. Let g be (-134)/8*(-7)/(42/w). Let p = -47 - g. Is p a multiple of 5? True Suppose 5*m = -3*l - 51 + 4, -2*l + 6 = -2*m. Is 7 a factor of ((-133)/2)/(m*1/14)? True Let x be 1/(-3) + 21/9. Suppose 27 = -c - 4*i, -x*c - i + 16 = 77. Is (-3)/3 - -4 - c a multiple of 8? False Let s(b) = b**3 - 2*b + 1. Let k be s(0). Let q(f) = 203*f - 67*f + 3 + 0 + 1. Is q(k) a multiple of 13? False Does 4 divide (-21138)/4*680/(-255) - 0? True Let f(q) = 10 + 3*q**2 - 5*q**2 - 12 - 3*q - 5*q**3. Let v be (-3 + (-4)/(-1))*-2. Does 18 divide f(v)? True Let i(n) = n**2 + 5*n + 4. Suppose d + 2*d + 17 = -5*j, 4*j + 2*d = -14. Let z be i(j). Suppose z = -p + 3*p - 120. Is p a multiple of 15? True Suppose 3*h = -15*h - 1854. Let x = 144 - h. Is x a multiple of 19? True Let b be 8*((-3)/(-2))/3. Suppose b*x - 4*d = 0, 2*x + 9*d - 35 = 4*d. Suppose 0 = -2*m - 2*o - 0*o + 234, 0 = -x*m - 3*o + 583. Is 29 a factor of m? True Suppose -2*x - 32 + 50 = 0. Is ((-3684)/18*-1)/(2/x) a multiple of 113? False Let g(t) = -t**2 + 3*t + 21. Let q be g(-3). Suppose z = -1 + 2, 4*b - q*z = 285. Is 8 a factor of b? True Let l(q) = -q**2 - 147*q - 54. Is l(-23) a multiple of 2? True Let z(b) = 362*b**3 + 3*b - 2. Let k be z(1). Let i = k + -250. Suppose -2*l - 2*l - g + 496 = 0, l + 3*g - i = 0. Is l a multiple of 25? True Let q(w) = 3*w**3 - 15*w - 6. Suppose -5*b - 2*h = -3 - 28, -h + 8 = b. Does 42 divide q(b)? True Let l(j) = j**2 - 46*j - 136. Let d be l(49). Suppose -3*v = d*v - 29568. Is 12 a factor of v? True Let d be -3 + -49 - 6/(-3) - -3. Let j = 308 + d. Suppose -127 = -u + p, 3*u - 5*p - 130 - j = 0. Is 20 a factor of u? False Is 104 a factor of (-194815)/(-20) + (-17)/1020*-15? False Suppose 80*l + 4*v = 77*l + 4373, 3*v + 2938 = 2*l. Is l a multiple of 14? False Suppose 595029 = 89*v + 152*v. Is 7 a factor of v? False Suppose c - 3*c - 5 = 3*p, -4*c - 2 = -2*p. Let o be (18/(-4))/(4/48). Does 13 divide c + o*1/(-2)? True Is 51 a factor of -936*((-132)/(-66))/((-16)/22)? False Suppose 3*q - 36 - 36 = 4*c, -24 = -q + 5*c. Suppose 5*k - q*k + 2888 = 0. Does 8 divide k? True Let a(p) = p**3 - 25*p**2 + 48*p - 42. Let g be a(23). Suppose 0 = -q + 616 + 174. Is g/(-22) - -6*q/55 a multiple of 7? False Suppose 10*n + 7223 = 23. Let t = 1356 + n. Does 19 divide t? False Suppose 12*v - 7*v = 1975. Let n = v - 230. Does 33 divide n? True Suppose -678 = -9*r + 7*r. Let t = 372 - r. Is t a multiple of 33? True Suppose 3603 = 6*k - 5787. Suppose 11*j - 503 = k. Is j a multiple of 20? False Suppose -186 - 354 = -2*c. Suppose 242*z - 248*z + c = 0. Does 15 divide z? True Suppose 0 = -12*z + 5*z + 150605 + 125356. Is z a multiple of 307? False Suppose -3*q = -4*o - 0*o - 3819, 2*o + 4*q + 1882 = 0. Does 9 divide o*8/24*-3? False Let o(c) = c**3 + 9*c**2 - 15*c - 120. Is 83 a factor of o(13)? True Let f(m) = -m**2 - 6*m - 6. Let p be f(-4). Does 26 divide (102856/430)/(p/5)? True Let z = -5371 - -9781. Is 21 a factor of z? True Let r(b) = -3*b + 25. Let k be r(7). Suppose -2*w + 5*h - 15 = 0, 5 = -3*w - 0*h + k*h. Suppose -4*l = u - 26, w*u + l - 96 = -2*l. Is 7 a factor of u? False Is 17 a factor of ((-90804)/231 + 1/11)*(-2)/3? False Let b(q) be the third derivative of 19*q**4/24 + 11*q**3/6 - 5*q**2 - 2*q. Is 18 a factor of b(4)? False Let v(y) = -199*y**2 + 615 + 6*y + y**3 - 200*y**2 + 400*y**2. Is 15 a factor of v(0)? True Let i(a) = a**3 + 5*a**2 - 14*a - 69. Let b be i(-5). Let q(j) be the first derivative of 41*j**2 - j + 1. Is 27 a factor of q(b)? True Let j be (-15)/(-9) + (-1)/(-3). Let d(r) = 2*r + 20. Let s be d(-12). Is 2*(42 - (s + j)) a multiple of 34? False Let i(z) = -11*z + 13. Let y be i(3). Does 25 divide (1 - 3/(-2))/(y/(-600))? True Let t be (-66)/(-2) - ((14 - 8) + -7). Suppose -t*q + 8610 + 774 = 0. Is 19 a factor of q? False Suppose -f = -5*b - 14, 0 = -3*b + 5 - 8. Suppose 0 = -f*r - r + 5940. Is 18 a factor of r? True Let r(p) = 15*p - 140. Is 21 a factor
{ "pile_set_name": "DM Mathematics" }
0))? -1/3 ((-1040)/1120)/(4/(-56)) 13 Evaluate (-1)/(((48/3)/(-384))/((-4)/(-6))). 16 Calculate (-656)/(-246)*(-36)/(-8). 12 What is -6*(480/(-216))/(-10)? -4/3 What is (352/2376)/((-4)/(-6))? 2/9 (22*1)/((-4)/(-18)*(-162)/18) -11 11*7*818/(-4499) -14 What is (-5)/((-195)/(-72))*1755/(-270)? 12 What is the value of ((-13)/1170*9)/(9/(-15))? 1/6 What is the value of 975/180*(-10)/(-65)? 5/6 What is the value of 21/7*(-5)/15? -1 What is the value of ((-1350)/(-2925))/((-315)/(-182))? 4/15 Evaluate 1161/172*(-16)/(-12). 9 Evaluate 6*2/(-15)*(-143)/(-52). -11/5 Evaluate ((94/(-1128))/(1/(-36)))/((-30)/(-14)). 7/5 Evaluate (315/434)/(-15)*-8*(-5)/(-30). 2/31 Calculate (22/(1*2))/(((-13377)/182)/147). -22 What is the value of (-1445)/12716*1*32/(-140)? 2/77 What is 30/8*(2624/336)/41? 5/7 What is the value of (-16)/5*160*14/896? -8 Calculate (-1)/6*1362/3178. -1/14 Evaluate -2*1/(-6)*9/(-2)*-8. 12 Evaluate (-94)/1034*(-858)/(-6). -13 What is the value of (-1*1*3)/((-1554)/777)? 3/2 (2/75)/(7/(504/(-48))) -1/25 What is the value of ((-10)/15)/(4/66)? -11 Evaluate (((-28)/(-64))/7)/(61/366). 3/8 Calculate ((-1316)/(-1974))/(16/(-3)). -1/8 -5*12/1980*(-27)/3 3/11 What is ((-14)/(-3))/((2090/(-33))/19)? -7/5 What is 693/(-14)*(-27)/(-162)*-4? 33 (5/18)/(280/448) 4/9 ((-1190)/(-17))/((-100)/(-10)) 7 What is the value of (-16)/((-96)/(-21))*(-18)/1071? 1/17 (2/(-88))/((399/168)/(-19)) 2/11 What is ((-224)/48)/(9/27)*(-6)/7? 12 What is (-2)/(-5)*130*60/32760? 2/21 What is the value of (442/52*40/1020)/(2/12)? 2 Evaluate ((-126)/105)/(2/5). -3 Calculate (-96)/(-72)*9/(-168). -1/14 Calculate (4/(-10))/((63/210)/(3/(-14))). 2/7 (-36*(-45)/2025)/((12/10)/(-1)) -2/3 Evaluate ((-12)/(-15))/((-173)/(-519)). 12/5 Calculate (-195)/30*45/2340. -1/8 Calculate (-3*5/(-6))/(153/(-306)). -5 Evaluate (-84)/(-72)*9/(-14). -3/4 Calculate (-23)/1518*3*-4. 2/11 Calculate ((3/(-18))/(31/(-620)))/(2/(-3)). -5 What is (1/(-2))/(47*(-15)/(-23970))? -17 What is the value of 12*4/56*68/(-102)? -4/7 What is 6/(-2)*16/3456*-9? 1/8 What is the value of (-5)/15*-21*(-18)/1071? -2/17 What is 60/(-105)*364/(-1976)? 2/19 What is the value of (0/1)/(-1*(-27)/(-27))? 0 What is 6*1*131/(4847/74)? 12 Calculate (3/((-30)/115))/((-8)/(-176)*-11). 23 What is the value of (343/14)/7*(-132)/(-14)? 33 (((-864)/126)/4)/(1/7) -12 (25/(-3))/(((-660)/66)/30) 25 What is -4*138/(-9)*273/(-728)? -23 Calculate 24/(-15)*(-650)/(-104). -10 What is the value of (-8)/(-16)*(-1)/5? -1/10 Calculate 89/(5874/(-88))*18/32. -3/4 What is the value of 1/(12/14*(-65)/(-312)*-4)? -7/5 What is the value of ((-2)/(6/702*-6))/1? 39 (66/55)/(6/75*-1) -15 18/(-6)*(354/(-216))/(-59) -1/12 Evaluate (10/(-160)*-16)/(4/68). 17 What is the value of (9234/(-324)*(-2)/(-3))/(1/1)? -19 (-18)/(-4)*(25/(-5))/60 -3/8 What is the value of ((-1)/(-3))/(-1)*-2*36/80? 3/10 ((-4320)/42120)/(6/(-13)) 2/9 What is the value of (-100)/20*(-6)/(-3)? -10 Calculate -3*((-174)/3)/(-29). -6 -3*(-7)/(532/(-19))*(-132)/45 11/5 Evaluate (-6867)/(-5886)*3/(-2)*4. -7 Evaluate 5/((-45)/8)*3*(-1071)/476. 6 Calculate (4*(-1)/(-2))/(4240/(-530)). -1/4 Evaluate (6*77/22)/(54/4). 14/9 Evaluate ((-35)/(1960/63))/(-3). 3/8 (-75)/((-6525)/116)*42/4 14 Calculate (((-570)/(-9))/(-19))/((-10)/(-12)). -4 Calculate -6*2/(-147)*((-1022)/44)/(-73). 2/77 What is 6/(-117)*429/(-286)? 1/13 What is ((-156)/(-585))/((-16)/(-120))? 2 What is ((-1*(-6)/(-6))/2)/(1/28)? -14 Calculate 1*(5/((-140)/8))/(28/49). -1/2 Calculate 40/(-6)*(29412/(-215))/76. 12 What is the value of ((-12)/150)/((111/(-60))/37)? 8/5 What is the value of -1*(-232)/(-261)*3/(-52)? 2/39 Evaluate (((-160)/(-180))/((-14)/(-7)))/(60/9). 1/15 Evaluate 9*(-1)/((2/1)/((-42)/(-21))). -9 Calculate ((-280)/(-30))/2*162/(-63). -12 (11/(-5))/(-5*(-15)/750) -22 ((-47)/(-141))/(4/42)*24/(-7) -12 What is the value of -9*(-4)/(-48)*1*(-96)/(-6)? -12 What is (1023/155*(-6)/(-8))/(15/25)? 33/4 Calculate (18/18*-2)/((2/(-2))/10). 20 Evaluate -34*7*(-4)/238. 4 What is the value of ((-40)/(-140))/((-9)/77)? -22/9 Calculate ((8/(-2))/(-4))/(295/(-7670)). -26 What is -1*(-58)/87*30/4? 5 What is the value of (-7)/(56/(-136))*1? 17 Evaluate -13*14/(-364)*-18. -9 Evaluate ((-3618)/804)/(6/4). -3 What is the value of 9/8*(-5120)/(-384)? 15 What is the value of (9/(-2)*4)/((-632)/(-79))? -9/4 Calculate (-3*(-3)/(-6))/(6*9/18). -1/2 561/935*5/(-9) -1/3 Evaluate (130/(-175))/(-13)*-1. -2/35 Evaluate 8/119*(-3017)/(-1724). 2/17 Evaluate ((10/(-6))/((-55)/66))/(1/5). 10 What is the value of ((-20)/15)/(29/(3654/28))? -6 Evaluate ((-6)/2)/((225/25)/(-18)). 6 What is (-2)/1*-8*(-21)/(-2688)? 1/8 What is the value of (-2*(-30)/14070)/((-2)/(-7))? 1/67 Calculate (8/10*-3)/(297/220). -16/9 What is (-1911)/(-91)*6/14? 9 What is the value of 69/14*((-3276)/54)/26? -23/2 ((-18)/8)/(1710/(-456)) 3/5 Calculate (54/189*119/8)/(21/(-84)). -17 Calculate -13*34/221*(2/(-92))/(-1). -1/23 Evaluate (-25)/(2275/(-14))*2. 4/13 Calculate ((36/6)/(-6))/(1/2). -2 (6/(-6))/2*40/(20/4) -4 What is the value of (53/(-7208)*-51)/(6/(-4))? -1/4 What is ((-8)/(-2))/((36/810)/((-5)/25))? -18 ((-309)/721)/(6*1/(-364)) 26 Evaluate 154/(-28)*(-16)/1408. 1/16 Evaluate ((4/16*0)/(-1*2))/4. 0 91/(-65)*(-21)/(-21) -7/5 What is ((-3178)/(-454))/(-3*1/(-3))? 7 ((-7)/4*(-4)/5)/((-360)/(-1800)) 7 (-4)/40*((-38)/57)/(-1) -1/15 Calculate (3/(-90))/(((-16)/(-8))/18). -3/10 Evaluate 4/(636/15)*(-4)/(-10). 2/53 What is the value of (((-3)/9)/(-1))/((-115)/5865)? -17 What is the value of ((-42)/(-9))/7*(-105)/525? -2/15 What is the value of (840/(-50))/14*(-4)/(-8)? -3/5 Calculate 2*(-40)/48*(27/(-60))/1. 3/4 (5376/(-36))/(-32)*(-5)/(35/(-27)) 18 What is (-175*2/(-20))/(5/(-10))? -35 0*8/((-3072)/(-32)) 0 Evaluate (-5)/4*(-24)/9*12/110. 4/11 Calculate (207/1173)/((-39)/(-34)). 2/13 What is ((-128)/(-224))/((9/(-42))/1*6)? -4/9 What is 24/22*7/((-910)/(-2145))? 18 (43/((-17759)/1770))/((-6)/28) 20 Calculate ((35/(-28))/(160/(-64)))/((-2)/120). -30 18/(6/(-5)*18/((-1584)/110)) 12 Evaluate 10/(-4)*(40052/170)/(-31). 19 Evaluate (1107/82)/(-9)*2/(-78). 1/26 Calculate ((-8)/(-18))/(168/(-756)). -2 What is the value of (-805)/(-460)*(-24)/(9/3)? -14 What is (-4)/((-9)/2*8*(-5)/(-360))? 8 What is the value of 70/21*2736/(-570)? -16 What is the value of (-66)/(-24)*(-56)/14? -11 Calculate (-11)/1100*-10*-15. -3/2 What is 48/36*228/(-8)? -38 What is (-17)/((-2040)/16)*-9*6/36? -1/5 ((11/((-3575)/(-15)))/(-1))/(306/(-340)) 2/39 What is the value of ((-2)/15*(-96)/976)/(86/(-215))? -2/61 What is the value of (-1)/(126/(-27)*2/(-8)*3)? -2/7 What is 3/7*-8*(-63)/18? 12 What is the value of ((-870)/(-261))/((-4)/(-6))? 5 What is 36/(-14)*(-1547)/(-663)? -6 What is (-4)/(-8)*1*-2*(-4)/(-4)? -1 8/(-6)*2046/(-35464) 1/13 What is the value of 117/(-117)*(-2)/2*11? 11 What is the value of (12/9)/(72/(-9))? -1/6 Evaluate ((-28)/(-2128)*19)/(-1*1). -1/4 What is ((-24)/(-208))/(1*(-7)/280*-10)? 6/13 Calculate (68/289)/(4/238). 14 (-16)/(-76)*(-11)/176*8 -2/19 Evaluate 24/96*36/9. 1 2/1*(8/16)/(21/(-6)) -2/7 Evaluate (-1)/4*(-1432)/179. 2 Calculate ((-48)/(-18))/((-420)/2205). -14 Evaluate ((-490)/392)/(2/(-4))*(-128)/(-40). 8 Evaluate 1*-7*(-14)/14. 7 What is the value of (((-16)/(-16))/1)/6? 1/6 Calculate (5/(-2)*5/25)/(9/(-18)). 1 Calculate ((-42)/(-1036))/((504/32)/(-21)). -2/37 ((-189)/168*(-2)/(-6))/((-6)/(-4)) -1/4 What is (-64)/(-208)*(-15)/30? -2/13 Calculate (-273)/(-1820)*(4/(-15))/((-3)/15). 1/5 What is the value of ((-1)/60*-4)/(2646/(-1890))? -1/21 What is the value of (18/(72/4))/1? 1 What is the value of ((-72)/100*4/8)/((-42)/(-70))? -3/5 ((-18)/117)/((-54)/(-2457)) -7 ((-8)/312)/((-64)/(-1920)) -10/13 Calculate 260/390*66/(-4). -11 Calculate 4*(-3)/42*18/((-18)/119). 34 What is (360/60)/(21/(-2))? -4/7 What is the value of (-53)/(-212)*24/2? 3 Calculate (-106)/(-2756)*12*1*(-2)/(-3). 4/13 What is (0/(-2))/(8/52*26)? 0 What is the value of 26*38/(-494)*((-13)/2)/(-1)? -13 What is the value of 88/(-1540)*-35*-2*-2*1? 8 What is ((-5)/12)/((-405)/162)? 1/6 What is (4*(-6)/32)/((-2)/(4*2))? 3 What is the value of (-6*(-14)/(-343))/(63/294)? -8/7 ((-9)/20)/(((-2520)/(-80))/(-21)) 3/10 What is the value of (((-66)/6)/(-11))/(((-10)/22)/5)? -11 Calculate -1*2*(-459)/3213. 2/7 What is the
{ "pile_set_name": "DM Mathematics" }
= 32*s. Let h be i(1). Suppose -2*n - 4*p = -6*n + h, 6 = n - 2*p. Let r = -19 + 58. What is the remainder when r is divided by n? 9 Suppose -59*i + 50*i = -72. Calculate the remainder when (-1)/((6/93)/(-2)) is divided by i. 7 Suppose -3*w = 5*p - 178, -16 + 0 = 4*w. What is the remainder when p is divided by 13? 12 Suppose -5*j - 11 = -131. What is the remainder when 10430/110 + (-2)/(-11) is divided by j? 23 Let o = 43 + -18. Let l = -56 - -103. What is the remainder when l is divided by o? 22 Suppose -3 = 2*s - 19. Suppose s*g - 18 = 7*g. Calculate the remainder when 32 is divided by g. 14 Suppose 216*n = 211*n + 140. Calculate the remainder when 193 is divided by n. 25 Let j(h) = -h**3 + 4*h**2 - 2*h - 3. Let g be j(2). Let b(u) = 41*u**3 + u**2 - 4*u + 2. What is the remainder when 118 is divided by b(g)? 38 Suppose -7*b - 6*b = -1014. What is the remainder when b is divided by 5? 3 Suppose -16*x = -28*x + 4020. Calculate the remainder when x is divided by 26. 23 Suppose 0 = -2*g - 3*z + 247, -z = -5*g + 63 + 580. What is the remainder when g is divided by 43? 42 Let s(m) = -11 + 10*m - 5 + 19 - m**2. Calculate the remainder when 150 is divided by s(8). 17 Suppose -9*y + 316 = -665. Calculate the remainder when y is divided by 35. 4 What is the remainder when 145 - (-6 + 5) - (3 - -1) is divided by 26? 12 Let d(a) = 2*a**2 + 6*a + 1. Let w be d(-4). Let m = 613 + -611. Let c = m + w. Calculate the remainder when c is divided by 7. 4 Calculate the remainder when 105 is divided by (5/(-20))/((-18)/2664). 31 Suppose 55*x - 1950 = 3660. Calculate the remainder when 191 is divided by x. 89 Suppose -2*w - 3*w + r = -33, -4*r = 12. What is the remainder when ((-10)/(-5) + -13)*-2 is divided by w? 4 Let l = -11 + 8. Calculate the remainder when (-24)/8*28/l is divided by 9. 1 Let p be (14/(-4) + 2)/((-5)/30). Suppose -a + p = 4. Suppose 0*g + c = 3*g - 2, 8 = -2*g + 3*c. What is the remainder when a is divided by g? 1 Suppose -2*z + 0*z + 2 = 0. Suppose z = 3*f - 8. Suppose 3*b - 12 = 0, 0 = -f*q - 2*b + b + 181. Calculate the remainder when q is divided by 12. 11 Let o = 273 + 62. Suppose -6*h + 2*t + 323 = -h, 0 = -5*h + 5*t + o. What is the remainder when h is divided by 11? 8 Suppose 4*t + 16 + 4 = 4*s, -2*t = s - 14. Suppose s*v = 12*v. Suppose v = -33*r + 32*r + 17. Calculate the remainder when r is divided by 6. 5 Let n = 29 - 17. Let o = n - 12. Suppose o = -m - 3 + 20. What is the remainder when 66 is divided by m? 15 Suppose -117*n + 2 = -119*n, 5*n - 589 = -2*w. Calculate the remainder when w is divided by 13. 11 Suppose 0 = 2*o + r - 33, -4*o + 94*r - 97*r + 63 = 0. Calculate the remainder when 178 is divided by o. 16 Suppose 3*z + 43 = 2*j - 43, 0 = 2*z + 4. Suppose 2*w = 2*v + 36, v - 28 = -4*w + 64. Calculate the remainder when j is divided by w. 18 Suppose -88 = -3*w - 4*m - 7, 4*m + 57 = 3*w. Calculate the remainder when 51 is divided by w. 5 Let n = 51 + -30. Suppose 2*m = 5*m + 5*x + 452, 152 = -m - 2*x. Let u = -83 - m. Calculate the remainder when u is divided by n. 19 Let z(c) = -2*c + 19. Suppose -o = -0*o + 5*i - 12, 5*o = 5*i. Suppose 0*m - o*m + 10 = 0. Calculate the remainder when m is divided by z(8). 2 Suppose 2*d - 2*i = 304, -5*i - 744 = -5*d - 4*i. Calculate the remainder when 1181 is divided by d. 145 Suppose -36*a = 3*q - 41*a - 244, -q = -3*a - 84. Calculate the remainder when q is divided by 25. 3 Let x be (-10 - 2)*5/(-15). Let p(d) = 2*d - 2. Let q be p(x). Calculate the remainder when 47 is divided by 1/(-2) - (-153)/q. 22 Suppose 17 = 3*m - 10. Suppose 16 = g - k, 0 = 5*k + 1 + m. Calculate the remainder when 54 is divided by g. 12 Suppose 2*l + 4*w - 44 = 0, 2*l + 4*w = -2*l + 92. Suppose 2*k - 74 = -l. Suppose k = 8*x - 3*x. Calculate the remainder when 17 is divided by x. 2 Let f = -80 - -83. Let l = -5 - -7. Suppose 0 = i - l - 9. What is the remainder when i is divided by f? 2 Let j = -4 + 60. Calculate the remainder when j is divided by 20. 16 Suppose 2 = l - 3. Suppose c - l = -3. Calculate the remainder when 6 is divided by c. 0 Let o = 44 + -44. Suppose -68 = -a - o. What is the remainder when a is divided by 24? 20 Suppose 6*s - 9 = 3*s. Suppose 3*q = 3 + s. Suppose -5*y - a + 143 = q*a, 88 = 3*y + 4*a. What is the remainder when 111 is divided by y? 27 Let u = 64 - 131. Let b = u + 39. Calculate the remainder when ((-7)/(-14))/((-1)/b) is divided by 5. 4 Suppose 0*l = 4*l - 5*r - 14, 3*r - 6 = 0. Let i = -14 - -24. Calculate the remainder when i is divided by l. 4 Let n = -39 + 48. Suppose n = -3*p + 90. Calculate the remainder when 78 is divided by p. 24 Calculate the remainder when 91 is divided by ((-1404)/9)/(-4) - -8. 44 Suppose 0 = -0*g + 7*g + 77. Let c = 24 + g. What is the remainder when 36 is divided by c? 10 Let c = -55 - -81. Suppose -2*i = -2*n + 4, 0 = 4*i - 0*n + 2*n + c. Calculate the remainder when 26 is divided by 2/i - (-72)/5. 12 Let q be 1 + (-30)/(-50) + (-347)/(-5). Let n = 79 - q. Calculate the remainder when n is divided by 5. 3 Suppose -j = 4*d - 31, -3*d + 4*j = -4*d + 4. Let z = 114 + -69. Suppose -z*v + 43*v = -74. What is the remainder when v is divided by d? 5 Calculate the remainder when 1306 is divided by (-396)/(-24) + 44/(-8). 8 Suppose -3*l + 15 = 3. Let j = -602 + 608. What is the remainder when j is divided by l? 2 Calculate the remainder when 2 + 2/(8/(-4)) - -68 is divided by (-1)/4 - 388/(-16). 21 Suppose 6*m + 6 = 24. What is the remainder when 6 is divided by m? 0 Suppose 0 = m - 29 + 2. Calculate the remainder when 48 is divided by m. 21 Let f(r) = -26*r + 27. What is the remainder when 87 is divided by f(1)? 0 Let l = 13 - -6. Let p = l - 9. Let m = p + -3. What is the remainder when m is divided by 3? 1 Suppose 2*i - 1571 = -g, 5*g + 4*i - 2632 = 5205. What is the remainder when g is divided by 14? 11 Let r(j) = 6*j - 28. What is the remainder when 22 is divided by r(7)? 8 Calculate the remainder when ((3 + 14)*-3)/(3/(-3)) is divided by 9. 6 Let u(z) be the third derivative of z**4/24 - 10*z**2. Let r(b) = -1. Let j(a) = -5*r(a) + u(a). Calculate the remainder when 17 is divided by j(2). 3 Let k = -154 - -171. Suppose k = -r + 64. Calculate the remainder when r is divided by 6. 5 Suppose 189 = -5*r + 12*r. Let k = r + -3. What is the remainder when 93 is divided by k? 21 Let f = 9 + -10. What is the remainder when 6 is divided by (-3)/3 - (3/f)/1? 0 Let l(y) = -y**3 - y**2 + 50. Suppose -6*x = -18 - 12. Suppose -2*i = x*i - 182. Calculate the remainder when l(0) is divided by i. 24 Suppose -5*x + 100 = -5*h, -2*h + 0*h - 49 = -5*x. Let k(u) = -3*u - 19. Calculate the remainder when k(h) is divided by 9. 5 Let y(n) = -n**2 + 11*n - 5. Let r be y(10). Suppose 0 = -5*h - 4*k + 160, h - 3*k = 8 + r. Calculate the remainder when 110 is divided by h. 26 Let x be ((-40)/30)/(-2*2/48). Suppose -4*i - 2*u + x = 0, -3*u = -5*i - 0*u + 42. Calculate the remainder when 12 is divided by i. 0 Let n = 485 - 357. What is the remainder when n is divided by 31? 4 Let l(b) = b**2 + b - 1. Let x(a) = -2*a**2 - 4*a - 3. Let z be x(-2). Let i(s) = 2*s**2 + 5*s. What is the remainder when l(-3) is divided by i(z)? 2 Let d be ((-14)/8)/(1/(-20)). Let t = 59 - d. What is the remainder when t is divided by 7? 3 Suppose -3 = m + 5*c + 18, 5*m = 5*c + 45. Let l(y) = y + 5. Calculate the remainder when m is divided by l(-3). 0 Let b = 549 + -374. What is the remainder when b is divided by 44? 43 Let v(l) = l**2 + l - 3. Let f = -46 - -37. Let i(w) = w**3 - 3*w**2 - 4*w - 6. Calculate the remainder when v(f) is divided by i(5). 21 Let o(a) = -5*a**3 + 2*a**2 - 8*a - 4. Calculate the remainder when o(-5) is divided by 42. 39 Let j = 1656 + -1650. Calculate the remainder when 41 is divided by j. 5 Let n be 6/18 - (-148)/6. Suppose 6*u - 295 = -n. Calculate the remainder when u is divided by ((-2 - -25)*1)/1. 22 Let q = -1 + 8. Let v = q + 8. Suppose 4*l - 3*l = v. Calculate the remainder when 43 is divided by l. 13 Let g = 20 + -21. Let z = 9 + 30. What is the remainder when z is divided by (11/11)/(g/(-14))? 11 Let m = 48 - 22. Let p be m/65 - (-33)/5. Suppose -4*z = -87 + p. Calculate the remainder when 37 is divided by z. 17 Let o(j) = j**3 + 7*j**2 + 2*j + 16. Let f be o
{ "pile_set_name": "DM Mathematics" }
et g = -75 - -74. Which is smaller: -2/133 or g? g Let w = -79 + 98. Is w bigger than 4? True Let z = -8 - -1. Let t(o) = o**3 + 6*o**2 + 6*o - 1. Let b be t(-5). Which is bigger: z or b? b Let d = -0.9 - -0.1. Let u = 0 + 1. Let f = u + d. Is 2/5 smaller than f? False Let q = 0.04 - 0.24. Which is smaller: q or -2? -2 Suppose -h + 4 = 3*l - 0, -h + 12 = -l. Suppose 4*w - 33 = w. Which is smaller: w or h? h Let p = -287/285 + 47/19. Does p = 1? False Suppose 100 = -5*u + m - 38, -u = 5*m + 38. Let i be ((-36)/45)/(u/10). Let t = -1/40 - 77/120. Which is smaller: i or t? t Let l be (52 + 18/(-6))*(-1 + 2). Is 51 != l? True Let f be (2 - (4 - 0)) + 17. Do f and 16 have the same value? False Suppose -3*b - 4 = b. Is -3/4 at most as big as b? False Let k(m) = m - 5. Let f be k(8). Which is smaller: f or 2? 2 Let v = -3 + 6. Let c = v + -2. Let j = -1.2 + c. Which is smaller: j or -2? -2 Suppose 12*d - 14*d - 14 = 0. Which is bigger: d or 2? 2 Suppose 29 + 31 = -5*c. Is -0.4 equal to c? False Let y be 10/15*3/(-11). Is y greater than or equal to 0? False Let z = 2.98 + 0.02. Let n be (-1 - -3) + 70/(-5). Let d be (-1)/2*8/n. Are d and z non-equal? True Suppose 7 = v - 13. Suppose 11*d - v = 7*d. Let x = -1 + d. Which is smaller: 2 or x? 2 Suppose 2*k - 50 = 3*h + k, 0 = h + 2*k + 26. Let i be (-9)/h - (-1)/2. Is -2/45 != i? True Let q(x) be the first derivative of -x**2/2 + 3*x - 5. Let w = -1 - -6. Let u be q(w). Is u at most -1? True Let d = 813/5 - 162. Is 2 <= d? False Let m be 0 + 4*(-9)/(-12). Which is greater: 12/5 or m? m Let u = 0.7 - 1. Let q = u - -0.1. Is q <= 0? True Suppose -13*t = -23*t - 330. Is -31 > t? True Suppose 3 = 4*x + h - 1, 5*h = 0. Is x greater than 2? False Let t = 2 - 1. Let w = -1.4 + 0.1. Which is greater: t or w? t Let z = -1.5 - -1.6. Which is greater: z or -6/7? z Let q(d) = 4*d. Let p be q(1). Let u(x) = 2 + 2*x**2 - 3*x**2 - p + 8*x - 6. Let w be u(7). Is -1 at most as big as w? True Let g(f) = f**3 + f**2 - f. Let w be g(1). Is 7 bigger than w? True Let b(c) = c - 1. Let y be b(3). Let j = 6 + -3. Let o = 5 - j. Is y > o? False Let l = -16 + 16. Which is greater: l or -2/3? l Let w = 2 - 1. Let t(h) = -h**3 - 8*h**2. Let y be t(-8). Is w <= y? False Let y = 21 + -195/11. Is y at least 4? False Let u be 105/(-196) - (-2)/8. Which is greater: 0 or u? 0 Let k be ((45/6)/(-5))/(-15). Suppose 0*u = u. Does k = u? False Suppose -2*h + 0*f - 5*f = -17, -2 = -2*f. Let u(s) = s**2 - 6*s + 5. Let w be u(h). Is 6 > w? True Let m = -41.29 - -41. Which is bigger: m or 0.1? 0.1 Let j = 13 - 10. Let a be (6/9)/((-2)/j). Is -0.1 at least a? True Let r = 1766/13 + -136. Let g be ((-5)/(-130))/((-2)/18). Let y = g + r. Do y and 1/5 have the same value? False Let v = -1.01 + 0.01. Let j = 2.6 + v. Is j greater than or equal to 1? True Let r be -2*2/8*-24. Suppose 5*h - r = a, 2*h - h - 5*a + 12 = 0. Let k = 0 + 2. Is h at least as big as k? True Let l be 0 - 2/(-11) - 0. Which is smaller: l or -6? -6 Let w be 3 - (10/2 - 3). Is w != 2/15? True Let n = -0.65 + 0.35. Which is bigger: -2 or n? n Suppose -2*o + 25 = 3*o. Which is bigger: -2 or o? o Let o be (3 + 264/(-32))/((-3)/4). Is o at most 9? True Let r be -1 - 1*(2 - 0). Let z be (-68)/18 - 2/9. Is r > z? True Suppose 0 = -r - 7 + 8. Which is greater: -2/73 or r? r Let h be 9/(-6) + (-1)/2. Let u = -11 + 15. Let a = u + h. Is 3 less than a? False Let j be 2/(33/9 + -3). Is j greater than 2? True Suppose f - 3 - 13 = 4*i, -f = 5*i + 29. Is f greater than or equal to -0.7? False Let j(b) = b**3 - b**2 - 5*b - 6. Let l(n) = n**3 - 6*n - 6. Let g(a) = -7*j(a) + 6*l(a). Let r be g(7). Let d = 2 - r. Is d smaller than 3? False Let u = -12 - -16. Which is greater: u or 3? u Let x = -10.25 - 0.75. Which is smaller: x or 0.1? x Let p = 0.8 - 0.6. Let n = -1.4 - 1. Let i = -0.4 - n. Is p > i? False Let r = 0.8 + 3.2. Let y = r - 2. Let n = 0.2 - 0.3. Which is smaller: y or n? n Let p = 27 - 43. Let d = -14 - p. Which is smaller: d or 1? 1 Let z be (-1 + 1)*(-4)/(-4). Suppose -4*o + 4 = -3*g + 7, 4*o = g + 7. Which is smaller: z or o? z Let r(x) = -x - 2. Let b(f) = 5*f + 7. Let g(u) = -2*b(u) - 9*r(u). Let p be g(5). Is 0 at most as big as p? False Let b = 1 - -5. Let d = 12 - b. Which is greater: d or 4? d Let r = -26 - -38. Is 2 smaller than r? True Suppose 43 - 27 = 4*m. Which is bigger: 25/6 or m? 25/6 Let b = 8 - 5. Suppose -b*m - m = -4. Is 4/9 bigger than m? False Let o = -0.01 - 2.99. Let v = 0.06 - -3.94. Let f = o + v. Which is smaller: 0 or f? 0 Suppose 3*m = 5*m. Suppose m = -4*v + 6 - 22. Let o = -2 + -2. Is v at most as big as o? True Let o = -167 + 3007/18. Which is greater: o or 0? o Suppose -5*u = 20, -3*u = 2*j - 6*u - 38. Let l = -17 + j. Which is greater: l or -3? -3 Let k = -233/196 - 3/49. Let i be ((-1 - -3) + -3)/((-1)/(-2)). Are i and k nonequal? True Let s = 3923 - 82366/21. Let u = 83 - 251/3. Let p = u + s. Do p and 0.1 have the same value? False Suppose x - 2*b + 2 = 0, -x = 2*b + 3*b - 19. Let q be 2/(8/1)*x. Which is smaller: q or 5/3? q Let r = 26.46 - -0.54. Let m = r - 42. Let u = -10 - m. Is u smaller than -0.1? False Suppose 6 = 2*s + 2. Suppose s*y = -2*y + 8. Let c be y/(-11) + 208/660. Which is greater: -1 or c? c Let t(d) = -30*d**3 - d**2 + 2*d - 1. Let v be t(1). Let m = 50 + v. Let s = m + -99/5. Which is greater: 0 or s? s Let p be (-12)/(-18) + (-1)/(-3) - 6. Which is bigger: p or -4? -4 Suppose 5*h + 0 = 45. Which is bigger: h or 7? h Let v(q) = 5*q**3 - 2*q**2 + 2*q - 1. Let b be v(1). Let p be (10/(-8))/(2/(-8)). Is p >= b? True Suppose -6*p + p + 25 = 0. Suppose 0 = -3*f - p*s - 18, -3*f + 2*f = -4*s - 11. Is f equal to -0.2? False Let z(b) = -b**3 - 7*b**2 - b - 5. Let k be z(-7). Suppose k*n = 8, -4*x - 20 = -2*x - 3*n. Are -1 and x equal? False Suppose -5*b - 29 - 6 = 0. Let g be (-60)/(-112) - (-2)/b. Is g smaller than 0.04? False Let s be (-6 - (-1 - 2)) + 117/38. Which is bigger: 0 or s? s Let c = 65024 - 584372/9. Let h = c - 94. Which is bigger: 0 or h? 0 Let a be 276/(-30) - (-1)/5. Let g be ((-60)/a)/((-2)/(-6)). Let s be ((-6)/9)/(g/(-6)). Is s at least 0? True Suppose -2 = 2*d - 3*d, 2*d = -n + 7. Let q be ((-14)/105)/(n/(-10)). Which is smaller: q or 1? q Let q be (12/(-10))/((-4)/(-20)). Let c = -4 - q. Let x = 2 - c. Which is smaller: 2/3 or x? x Let k be 4/14 + (-15)/(-21). Let w = 34 - 98/3. Which is bigger: k or w? w Let o be 4/10 + (-168)/320. Is o greater than or equal to -1? True Let p be 4 + 0/(3/3). Let t be ((-1)/6*p)/(-4). Which is greater: t or -1? t Let k be ((-2)/(-12))/(-19 + 1). Let n = k - 209/756. Is -2 at most as big as n? True Let f = -1 - 4. Let i = 0.1 + 0. Which is smaller: f or i? f Let t = 164/17 + -11077/68. Let q = -154 - t. Let x = 1 + -3. Which is smaller: q or x? x Suppose 21 + 0 = -5*o + u, -2*o = -2*u + 2. Let j(r) = r + 4. Let f be j(-6). Let k = -7 - f. Is o at least as big as k? True Let p(o) = o**2 + 2*o + 1. Let l be -2*(-1)/(-6)*3. Let g be p(l). Suppose 3*j + 3 - 6 = 0. Which is bigger: j or g? j Let s = -4967/5946 - -2/991. Is s > -1? True Let w = -915 + 10023/11. Which is smaller: w or -4? -4 Suppose -20 = 3*n - 5*b, 2*n + 5*b = -0*b + 20. Does -1 = n? False Let h be 4/(-10) - (-139)/(-15). Suppose 0 = -2*j + 5*j - 30. Let t = j + h. Which is smaller: t or 1? t Let u = 7677/715 - 141/13. Let c = u - -39/55. Which is bigger: c or 0? c Let j(f) = f**2 - 13*f - 3. Let o(v) = 3*v**2 - 27*v - 5. Let z(g) = 5*j(g) - 2*o(g). Let k be z(-10). Suppose -u = k*i - 3*i, 4*i = 5*u + 28. Is -4 >= u? True Let p = 141 + -141. Is p >= 9? False Suppose -7 = -5*y - 2. Let o = -131 - -919/7. Is y <= o? False Let t(u) = -u**2 - 12*u - 14. Let n be t(-10). Is 9/2 > n? False Let l(k) = -k - 14. Let o be l(-5). Which is smaller: o or -10? -10 Suppose 2 = -4*j + 6. Let m = 1 - 10. Let q be (-6)/m*(-3)/5. Are q and j equal? False Let v(o) = 2*o**3 - o**2 + 2*o - 1. Let p be v(1). Suppose 3*l - 2 = p*l. Suppose -l*n = -0*n + 2. Is -1/17 < n? False Let p = -27 - -27.1. Is p equal to -3.4? False Let y be (-12)/9*42/(-4). Let b be -4 + (-7)/(y/(-4)). Which is greater: -8/11 or b? -8/11 Let j(a) = 2*a - 3. Let v be j(2). Let w be (-3)/((-3)/v) + -2. Is -2 at most as big as w? True Let b = 3.8 + -4. Which is sma
{ "pile_set_name": "DM Mathematics" }
31 What are the prime factors of 1367911834? 2, 17, 40232701 List the prime factors of 105152628. 2, 3, 7, 178831 What are the prime factors of 44918075? 5, 641, 2803 What are the prime factors of 46200347? 46200347 What are the prime factors of 78519817? 5861, 13397 List the prime factors of 25670804. 2, 89, 72109 List the prime factors of 68585219. 71, 965989 What are the prime factors of 7049145961? 11, 13, 23, 43, 49843 What are the prime factors of 73640389? 227, 353, 919 What are the prime factors of 212572585? 5, 37, 643, 1787 What are the prime factors of 42003349? 311, 135059 List the prime factors of 1076611664. 2, 67288229 List the prime factors of 1810928444. 2, 13, 37, 269, 3499 What are the prime factors of 203235002? 2, 101617501 List the prime factors of 2041592999. 23, 109, 503, 1619 What are the prime factors of 18496896? 2, 3, 11, 29, 151 What are the prime factors of 64208152? 2, 127, 63197 What are the prime factors of 1722004? 2, 151, 2851 List the prime factors of 3495034372. 2, 313, 2791561 What are the prime factors of 162448060? 2, 5, 31, 479, 547 What are the prime factors of 238518302? 2, 11, 73, 148517 What are the prime factors of 14402261? 317, 45433 List the prime factors of 2020489227. 3, 79, 2841757 What are the prime factors of 1803778802? 2, 7, 149, 864707 What are the prime factors of 1165503185? 5, 7, 11, 29, 139, 751 List the prime factors of 471908720. 2, 5, 5898859 What are the prime factors of 28416312? 2, 3, 293, 449 List the prime factors of 72701091. 3, 23, 117071 What are the prime factors of 26527783? 167, 158849 List the prime factors of 44076583. 37, 197, 6047 List the prime factors of 94804902. 2, 3, 607, 8677 List the prime factors of 25192142. 2, 12596071 What are the prime factors of 2105165787? 3, 41, 17115169 List the prime factors of 17647582. 2, 8823791 What are the prime factors of 39982163? 13, 37, 101, 823 What are the prime factors of 2387949261? 3, 795983087 List the prime factors of 375761175. 3, 5, 241, 20789 What are the prime factors of 229245213? 3, 76415071 List the prime factors of 1522468560. 2, 3, 5, 6343619 List the prime factors of 120949908. 2, 3, 10079159 List the prime factors of 948999958. 2, 2351, 201829 List the prime factors of 86852534. 2, 19, 431, 5303 List the prime factors of 3581430292. 2, 11, 61, 1334363 What are the prime factors of 1084635585? 3, 5, 11, 113, 19391 What are the prime factors of 22036611? 3, 599, 12263 List the prime factors of 1015226873. 5879, 172687 What are the prime factors of 3721056344? 2, 465132043 What are the prime factors of 3687152452? 2, 29, 31785797 What are the prime factors of 41191837? 233, 176789 List the prime factors of 782679495. 3, 5, 13, 251, 15991 List the prime factors of 3638531096. 2, 13807, 32941 What are the prime factors of 46041575? 5, 431, 4273 What are the prime factors of 435466448? 2, 353, 77101 List the prime factors of 289067449. 11, 2957, 8887 What are the prime factors of 18214965? 3, 5, 23, 17599 What are the prime factors of 28761441? 3, 9587147 What are the prime factors of 76874709? 3, 25624903 List the prime factors of 45031238. 2, 7, 53, 60689 What are the prime factors of 1345010895? 3, 5, 277, 107903 What are the prime factors of 324131829? 3, 7, 15434849 List the prime factors of 83674058. 2, 13, 3218233 What are the prime factors of 423273808? 2, 1433, 18461 What are the prime factors of 1391014515? 3, 5, 11, 8430391 List the prime factors of 327321380. 2, 5, 59, 241, 1151 List the prime factors of 1492094217. 3, 497364739 What are the prime factors of 827882192? 2, 2221, 23297 List the prime factors of 2451992540. 2, 5, 122599627 What are the prime factors of 2545002667? 673, 3781579 List the prime factors of 132567768. 2, 3, 17, 23, 277 List the prime factors of 1204828917. 3, 173, 2321443 What are the prime factors of 3467902? 2, 59, 29389 List the prime factors of 476620037. 103, 641, 7219 What are the prime factors of 1214300538? 2, 3, 11, 2044277 List the prime factors of 453876298. 2, 103, 409, 5387 List the prime factors of 222053952. 2, 3, 97, 11923 What are the prime factors of 4364778317? 89, 3719, 13187 List the prime factors of 49789918. 2, 19, 1310261 List the prime factors of 21893004. 2, 3, 7, 197 List the prime factors of 3067602718. 2, 223, 6878033 What are the prime factors of 238586408? 2, 233, 127997 What are the prime factors of 46197746? 2, 7, 1259, 2621 What are the prime factors of 136420728? 2, 3, 23, 53, 4663 What are the prime factors of 6152002430? 2, 5, 7, 12555107 List the prime factors of 6211607153. 6211607153 List the prime factors of 18593273. 31, 599783 List the prime factors of 4722829446. 2, 3, 2539, 310019 What are the prime factors of 207634645? 5, 109, 331, 1151 What are the prime factors of 191090? 2, 5, 97, 197 List the prime factors of 19515906. 2, 3, 1084217 List the prime factors of 2337277254. 2, 3, 13, 181, 165553 What are the prime factors of 2196034235? 5, 439206847 What are the prime factors of 2468650548? 2, 3, 7, 13, 1439, 1571 What are the prime factors of 2719195045? 5, 7, 233, 333439 List the prime factors of 2460327149. 7, 351475307 List the prime factors of 28351748. 2, 7087937 What are the prime factors of 4456617739? 7, 43, 2579, 5741 List the prime factors of 36870101. 36870101 What are the prime factors of 1017785532? 2, 3, 277, 306193 What are the prime factors of 379743894? 2, 3, 21096883 What are the prime factors of 5191078105? 5, 1038215621 What are the prime factors of 46179202? 2, 41, 233, 2417 What are the prime factors of 63098216? 2, 139, 179, 317 List the prime factors of 1508714647. 11, 23, 29, 61, 3371 What are the prime factors of 41174092? 2, 2969, 3467 What are the prime factors of 836197214? 2, 41, 10197527 What are the prime factors of 659944024? 2, 19, 1231, 3527 List the prime factors of 31094863. 2213, 14051 List the prime factors of 528493055. 5, 105698611 What are the prime factors of 354470017? 11, 1151, 27997 What are the prime factors of 3278558666? 2, 37097, 44189 What are the prime factors of 302360298? 2, 3, 31, 463, 3511 List the prime factors of 48504938. 2, 24252469 What are the prime factors of 77777837? 491, 158407 List the prime factors of 356437343. 4951, 71993 List the prime factors of 402402799. 402402799 List the prime factors of 1700524827. 3, 43, 293, 4999 What are the prime factors of 222437651? 971, 229081 List the prime factors of 24051069. 3, 7, 479, 797 List the prime factors of 290968188. 2, 3, 7, 3463907 What are the prime factors of 218764635? 3, 5, 109, 133801 List the prime factors of 623246446. 2, 373, 835451 What are the prime factors of 538637858? 2, 11, 227, 107857 List the prime factors of 59901033. 3, 163, 122497 List the prime factors of 1110497581. 71, 157, 99623 What are the prime factors of 1237787838? 2, 3, 7, 659, 4969 List the prime factors of 321108297. 3, 107036099 List the prime factors of 112837391. 167, 181, 3733 What are the prime factors of 17376451? 17376451 What are the prime factors of 1512922142? 2, 756461071 List the prime factors of 377314154. 2, 7, 2129, 12659 What are the prime factors of 1023443493? 3, 19, 17955149 List the prime factors of 43861843. 43861843 What are the prime factors of 6469742054? 2, 17, 547, 347873 List the prime factors of 293554740. 2, 3, 5, 4892579 List the prime factors of 1608220270. 2, 5, 139, 677, 1709 What are the prime factors of 88331115? 3, 5, 5888741 List the prime factors of 79413149. 109, 728561 What are the prime factors of 1110283754? 2, 877, 633001 What are the prime factors of 8368588? 2, 19, 29, 3797 List the prime factors of 693560768. 2, 23, 31, 15199 What are the prime factors of 27193364? 2, 11, 618031 What are the prime factors of 1278836133? 3, 23, 181, 102397 List the prime factors of 474601364. 2, 118650341 List the prime factors of 280465100. 2, 5, 929, 3019 What are the prime factors of 1279350087? 3, 263, 709, 2287 What are the prime factors of 658963599? 3, 7, 37, 848087 List the prime factors of 414495134. 2, 207247567 List the prime factors of 173321233. 311, 557303 List the prime factors of 4368866393. 19477, 224309 List the prime factors of 42805982. 2, 113, 189407 What are the prime factors of
{ "pile_set_name": "DM Mathematics" }
n 35 is divided by i? 16 Let j(l) = -l**3 - l**2 + 2*l + 4. Let f be j(-2). Let v be 42/f*20/(-30). Let u = v + 25. What is the remainder when u is divided by 5? 3 Suppose -3*t = 14*t - 119. Calculate the remainder when 44 is divided by t. 2 Let a be ((-4)/(-10))/(2/830). Suppose 0 = p - 0*y + 4*y - 29, 0 = 5*p - y - a. Calculate the remainder when p is divided by ((-12)/5)/((-4)/30). 15 Let k(l) = -15*l + 89. Calculate the remainder when k(0) is divided by 13. 11 Let j(a) = a + 9. Let d be j(-8). Suppose 0 = 3*q + 2*i - i - 12, -3*i + d = 2*q. Calculate the remainder when 33 is divided by q. 3 What is the remainder when 152 is divided by -63*(1 - 4*(-5)/(-14))? 17 Let b = 59 + 246. What is the remainder when b is divided by 40? 25 Let j = 569 - 502. Calculate the remainder when j is divided by 22. 1 Suppose 75 = -5*t + 2*t. Let n = t - -34. What is the remainder when n is divided by 2/(-6) + 26/6? 1 Let i(z) = 3*z**2 - 8*z + 8. Let t be i(4). Suppose y + t = 9*y. Calculate the remainder when 7 is divided by y. 1 Let u be (-3 - 0) + -1 + -878. What is the remainder when (-3 - (-14)/6)*u/12 is divided by 17? 15 What is the remainder when (-6)/15 + (9612/(-10))/(-18) is divided by 30? 23 Suppose 598 = -7*m + 20*m. What is the remainder when 90 is divided by m? 44 Suppose 0 = -4*z, 0*r + 2*r = 4*z + 28. Suppose 835 = 3*u + 2*u + 5*c, -3*u - c = -499. What is the remainder when u is divided by r? 12 Let d(h) = 2*h**2 - 7*h + 19. Suppose q - 54 = -q - 2*v, -v + 73 = 3*q. What is the remainder when d(7) is divided by q? 22 Let y = 1075 + -966. Calculate the remainder when 449 is divided by y. 13 Suppose -4*d = 3*x - 220, -4*d - 2*x + 111 = -109. Calculate the remainder when 175 is divided by d. 10 Let r be 268/(-5) - 3/(-5). Let u = 34 + r. Let t = -9 - u. What is the remainder when t is divided by 6? 4 Let b = -1624 + 1640. Suppose 0*x + x - 3 = 0. Suppose x*p = -0*p + 129. What is the remainder when p is divided by b? 11 Let y(z) = z**3 - 19*z**2 + 9*z - 18. Let o(b) = -b**3 + 7*b**2 + 19*b + 10. Let g be o(9). Calculate the remainder when y(g) is divided by 39. 36 Let u = 31 + -20. Let p(s) = 3*s**2 - 17. Let y(q) = q**2 - 8. Let t(h) = 2*p(h) - 5*y(h). What is the remainder when t(-5) is divided by u? 9 Let u(r) = 8*r**2 + 3*r + 2. Let y = 0 + 4. Let h(g) = 7*g**2 + 3*g + 2. Let z(d) = y*h(d) - 3*u(d). What is the remainder when 47 is divided by z(-2)? 11 Let b(n) = 2*n. Let p be b(-3). Calculate the remainder when ((-2)/4)/(p/516) is divided by 11. 10 Let l = 4 - 5. Suppose -4*c = 2*c - 108. Calculate the remainder when -1 + (140/l)/(-2) is divided by c. 15 Suppose -77 = -3*r + d, 2*r + d + d - 62 = 0. Let s = -265 - -371. Calculate the remainder when s is divided by r. 25 Let c(v) = 35*v**2 + v - 1. Suppose j = 1 - 0. Let q(s) = s**3 + 5*s**2 + s - 2. Calculate the remainder when c(j) is divided by q(-4). 5 What is the remainder when (1 - (-26)/(-10))/(2/(-30)) is divided by 10? 4 Let n be 25/(0 + 2/4). Let w = -42 + n. Suppose -f + 5*g - 10 = 0, -9 = g - 4*g. Calculate the remainder when w is divided by f. 3 Suppose -6*t = 196 - 2224. What is the remainder when t is divided by 88? 74 Let c(x) = x**2 + x + 8. Suppose 65 = 101*f - 96*f. What is the remainder when c(-8) is divided by f? 12 Let p be -53*-1*(1 + -2). Let t = -49 - p. Calculate the remainder when 6 is divided by t. 2 Suppose 2*y + 164 = 2*x, 5*y - 290 + 28 = -3*x. Calculate the remainder when x is divided by 55. 29 Suppose 10*p - 5*p - 105 = 0. Calculate the remainder when 396 is divided by p. 18 Let q = 76 + -31. Let d = 12 - 0. What is the remainder when q is divided by d? 9 Suppose 11*o - 12*o = -4. Suppose 5*l + 0*m = m + 351, -o*m = 5*l - 371. Calculate the remainder when l is divided by 12. 11 What is the remainder when (-27472)/(-20) + (-22)/(-55) is divided by 106? 102 Suppose 5*t - 82 = 23. Calculate the remainder when t is divided by 13. 8 Let n(k) = 40*k - 176. What is the remainder when 211 is divided by n(5)? 19 Let j be (-10)/(-6) + 11/33. Suppose -5*y + 17 = -j*t, -y - 4*y = -t - 16. Let z = -7 + 10. Calculate the remainder when z is divided by y. 0 Let j(t) = -6*t - 30. What is the remainder when 20 is divided by j(-6)? 2 Let f be (268/(-6))/((-4)/12*1). Let d = 229 - f. What is the remainder when d is divided by 33? 29 Let l be (3 - (312/21 + 1))*7. Let y = 149 + l. What is the remainder when y is divided by 30? 29 Suppose 3*k = g + 1414, 4*g - 788 = -2*k + 164. Calculate the remainder when k is divided by 34. 30 Suppose 17*p = 13*p + 8. Suppose -3*f - 41 = -t, 0*f + f = p*t - 67. What is the remainder when 62 is divided by t? 30 Let z be -2 + 3 + 2 + 0. Suppose z = 2*s + 3*a - 18, -s = 4*a + 2. Calculate the remainder when 70 is divided by s. 16 Suppose -3*q - q - 32 = 0. Let g = 5 - q. Let n = 23 - g. Calculate the remainder when 38 is divided by n. 8 Let c = -20 - -19. Calculate the remainder when (230/(-30))/(c/3) is divided by 15. 8 Let g(v) = -v**3 + 7*v**2 - 3*v - 14. Let p be g(6). Calculate the remainder when (0 + -1 - p)*-16 is divided by 21. 17 Let q be 6/(-4)*(-8)/3. Suppose q*s + 126 = -2*s. Let t = -9 - s. What is the remainder when 45 is divided by t? 9 Suppose -4*t = -5*k + 77 - 201, -4*k + 4*t - 96 = 0. Let s be k/(-8)*-2*95. Calculate the remainder when (6/5)/((-14)/s) is divided by 15. 12 Suppose -10*d = -141 - 89. What is the remainder when 46 is divided by d? 0 Let x(c) = 7*c - 102. Calculate the remainder when 116 is divided by x(17). 14 Let q = 1256 + -1056. Calculate the remainder when q is divided by 34. 30 Suppose 5*i - 92 - 38 = 0. Let o = i - 24. Suppose 2*j = p - 5*p + 14, 2*j - 12 = -o*p. Calculate the remainder when 19 is divided by j. 4 What is the remainder when (-292)/6*72/(-48) is divided by 19? 16 Let v = 9 + -6. Suppose 2*q - 6*d - 18 = -4*d, 5*d = 0. What is the remainder when q is divided by v? 0 Suppose -6*p = -50*p + 8096. Calculate the remainder when p is divided by 26. 2 Suppose -13*j - 2*q + 372 = -9*j, -5*j - q = -468. What is the remainder when j is divided by 10? 4 Let t(j) = j**3 - j**2 + 4. Let i be t(0). Suppose -4*b - x + 308 = 0, -i*b + 4*x = 128 - 456. Calculate the remainder when b is divided by 20. 18 Suppose 7*l - 4*l + 117 = 3*g, g - 2*l - 43 = 0. What is the remainder when 45 is divided by g? 10 Suppose -11 = 2*d - 1. Let x(u) = 4 + u**3 + 8 + 6*u**2 + 9 - 30 + 5 + 2*u. Calculate the remainder when x(d) is divided by 7. 4 Suppose d + 2*d - 22 = 2*t, -20 = -4*d - 2*t. Let z(a) = -a + 29. What is the remainder when z(-9) is divided by d/(-27) + (-92)/(-9)? 8 Suppose 31*q = 24*q + 6293. Calculate the remainder when q is divided by 53. 51 Suppose -2*y + 27 = -3*y. Let h = y - -23. Let r(t) = -4*t + 8. What is the remainder when 94 is divided by r(h)? 22 Let v(m) = m**2 + 4*m. Let i be v(-5). Suppose -g + 4*g - 5 = f, -2*f - i*g - 21 = 0. What is the remainder when 2 is divided by (-1)/(-2) - 4/f? 0 Suppose -2*t - 4*c + 258 = 0, 0 = -4*t - 5*c + 569 - 47. Let k = t - 84. Calculate the remainder when k is divided by 18. 13 Let b(q) = q**2 - q + 17. Let z be b(0). Let f = z + -8. Suppose -2*d + 41 + 182 = 5*u, u - 3*d = 31. What is the remainder when u is divided by f? 7 Let n be (-2)/14 - (-30)/14. Calculate the remainder when 32 is divided by 140/(-21)*(-3)/n. 2 Suppose -10*f - 90 = -19*f. Suppose 0 = -4*a - 2*r - r + 124, a - r - 24 = 0. What is the remainder when a is divided by f? 8 Let c = 25 - 21. Let a be (-12)/(-18) - 26/(-6). Suppose c*w - a = 3*w. What is the remainder when w is divided by 2? 1 Suppose -17*i = -536 + 111. Calculate the remainder when 94 is divided by i. 19 Let o = 1193 + -1117. What is the remainder when 219 is divided by o? 67 Suppose 3*a - 15 = 3*g, 6 = -2*g + 4*g. Calculate the remainder when (-1017)/(-33) - (-6)/33 is divided by a. 7 Let f(i) = 65*i**2 + 2*i - 3. Let w be f(3). Suppose -5*v = -v - w. What is the remainder when v is divided by 6 + 111/3 - 6? 36 Suppose -75 = 167*y - 170*y. Calculate the remainder when 822 is divided by y. 22 Let r(t) = t**3 + 17*t**2 - 4*t + 31. Let q be r(-17). Let m = q - 95. Calculate the remainder when 9 is divided by m. 1 Let z = 11 + 4. Let u = -9 - -12. Suppose 3*q = 15 - u. Calculate the remainder when z is divided by q. 3 Calculate the r
{ "pile_set_name": "DM Mathematics" }
nd 1 t. 1/33 Calculate prob of picking 2 x and 1 f when three letters picked without replacement from {u: 5, m: 1, x: 9, f: 3}. 9/68 What is prob of picking 2 c and 1 i when three letters picked without replacement from {c: 7, f: 7, i: 5}? 35/323 What is prob of picking 1 u and 1 v when two letters picked without replacement from ububzwbzbvubb? 1/26 Two letters picked without replacement from {p: 2, f: 2, r: 4, n: 2}. What is prob of picking 1 p and 1 f? 4/45 What is prob of picking 2 o when two letters picked without replacement from oooooororrooooo? 22/35 What is prob of picking 1 y and 2 j when three letters picked without replacement from jrdjy? 1/10 Two letters picked without replacement from {p: 2, h: 3}. Give prob of picking 2 h. 3/10 Calculate prob of picking 1 b, 1 m, and 1 f when three letters picked without replacement from {f: 1, h: 3, m: 4, k: 2, b: 4, c: 1}. 16/455 What is prob of picking 2 f when two letters picked without replacement from {f: 2, o: 5}? 1/21 Three letters picked without replacement from pmmpmpmmmmmmmmmpmm. Give prob of picking 3 p. 1/204 Four letters picked without replacement from vqvvqodoxyqqdoq. What is prob of picking 2 o, 1 q, and 1 d? 2/91 Three letters picked without replacement from tjfjtftt. Give prob of picking 2 j and 1 f. 1/28 Four letters picked without replacement from {b: 5, s: 4, y: 1, a: 2, d: 1, x: 2}. Give prob of picking 1 x, 1 a, 1 y, and 1 d. 4/1365 What is prob of picking 4 r when four letters picked without replacement from {p: 2, r: 4}? 1/15 What is prob of picking 1 b and 2 m when three letters picked without replacement from zmbobmomob? 3/40 Calculate prob of picking 2 g when two letters picked without replacement from {g: 11, n: 5}. 11/24 Three letters picked without replacement from nhttthdaadhj. Give prob of picking 1 d, 1 t, and 1 a. 3/55 Two letters picked without replacement from {s: 2, b: 1, d: 1, w: 2, q: 1, f: 1}. What is prob of picking 1 b and 1 s? 1/14 Four letters picked without replacement from rrgrggg. Give prob of picking 2 g and 2 r. 18/35 Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {j: 1, o: 14}. 2/15 Two letters picked without replacement from eneeeeexexvvnxv. Give prob of picking 1 e and 1 x. 1/5 Calculate prob of picking 1 t and 2 o when three letters picked without replacement from {t: 2, o: 2, j: 1}. 1/5 What is prob of picking 1 c and 1 p when two letters picked without replacement from {s: 6, u: 5, p: 7, c: 1}? 7/171 Two letters picked without replacement from wsddswwwswwktdkwks. What is prob of picking 1 k and 1 d? 1/17 What is prob of picking 1 h and 3 g when four letters picked without replacement from {g: 3, h: 2}? 2/5 Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {f: 4, x: 2, b: 3}. 2/9 Calculate prob of picking 1 w, 2 x, and 1 j when four letters picked without replacement from wixjx. 1/5 Four letters picked without replacement from ksksssaks. What is prob of picking 2 s and 2 k? 5/21 Three letters picked without replacement from cktlcokt. What is prob of picking 1 k, 1 o, and 1 t? 1/14 Four letters picked without replacement from hmssmhsshom. What is prob of picking 3 m and 1 o? 1/330 Two letters picked without replacement from {f: 9, p: 7}. What is prob of picking 1 f and 1 p? 21/40 Calculate prob of picking 2 y when two letters picked without replacement from {k: 1, y: 2, o: 2, g: 1}. 1/15 Four letters picked without replacement from hvnhnnnhnh. Give prob of picking 2 n and 2 h. 2/7 What is prob of picking 2 u and 1 b when three letters picked without replacement from {b: 5, u: 5, k: 1, z: 3, x: 2}? 5/56 Calculate prob of picking 1 d and 1 v when two letters picked without replacement from vgdovxg. 2/21 Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, b: 3}. 1/5 What is prob of picking 1 r and 2 f when three letters picked without replacement from {i: 1, f: 3, r: 7, l: 6}? 21/680 Three letters picked without replacement from cdxffxf. Give prob of picking 1 x and 2 f. 6/35 What is prob of picking 1 y, 1 z, and 1 m when three letters picked without replacement from ryrpzmxp? 1/56 Calculate prob of picking 1 v and 3 r when four letters picked without replacement from rvrvvvvvvwrw. 7/495 Two letters picked without replacement from idtiddtvvdidtdthtt. What is prob of picking 1 h and 1 v? 2/153 Three letters picked without replacement from bwbvtvbtwvbb. What is prob of picking 1 v and 2 w? 3/220 Two letters picked without replacement from rrrrrrrrreerr. What is prob of picking 2 r? 55/78 What is prob of picking 1 j and 3 c when four letters picked without replacement from {c: 3, j: 3}? 1/5 Two letters picked without replacement from oofooooooofoffooofo. What is prob of picking 2 f? 10/171 What is prob of picking 1 a, 1 u, 1 x, and 1 v when four letters picked without replacement from vaxuaua? 6/35 Three letters picked without replacement from {d: 2, l: 3, k: 4, o: 4, u: 3}. What is prob of picking 1 l, 1 d, and 1 o? 3/70 Four letters picked without replacement from {u: 6, a: 4, h: 1}. What is prob of picking 1 u, 2 a, and 1 h? 6/55 What is prob of picking 1 b and 1 l when two letters picked without replacement from hhlvvpb? 1/21 Calculate prob of picking 1 b and 2 j when three letters picked without replacement from jjjjjjbj. 3/8 Four letters picked without replacement from pppcccppcp. What is prob of picking 3 p and 1 c? 8/21 What is prob of picking 1 e and 3 j when four letters picked without replacement from {r: 1, j: 5, e: 7, z: 3}? 1/26 What is prob of picking 1 z, 2 e, and 1 s when four letters picked without replacement from {s: 7, z: 8, e: 5}? 112/969 Four letters picked without replacement from lwllwllllw. Give prob of picking 4 l. 1/6 What is prob of picking 1 u and 1 y when two letters picked without replacement from {u: 5, y: 8}? 20/39 Three letters picked without replacement from {l: 3, w: 1, c: 10, p: 2, a: 1}. What is prob of picking 1 a and 2 l? 3/680 Four letters picked without replacement from {c: 3, v: 1, f: 4, e: 7, a: 4}. What is prob of picking 1 e, 2 f, and 1 a? 14/323 Calculate prob of picking 1 i and 2 x when three letters picked without replacement from iatxtajjanjxijxxjj. 1/68 Calculate prob of picking 2 g and 1 y when three letters picked without replacement from yyygygg. 12/35 Calculate prob of picking 1 b and 1 u when two letters picked without replacement from xfufuxxxxbffxxxuxuxb. 4/95 Four letters picked without replacement from {e: 2, u: 9}. What is prob of picking 3 u and 1 e? 28/55 Three letters picked without replacement from icciiiiccccccici. Give prob of picking 3 c. 3/20 Two letters picked without replacement from {u: 1, f: 3}. What is prob of picking 2 f? 1/2 Three letters picked without replacement from kkkkkvvk. Give prob of picking 3 k. 5/14 Four letters picked without replacement from nyttryynrtttr. Give prob of picking 2 t and 2 n. 2/143 Calculate prob of picking 2 k and 2 e when four letters picked without replacement from enteenenjkne. 0 What is prob of picking 1 b and 1 z when two letters picked without replacement from kqbbkz? 2/15 Calculate prob of picking 2 j and 2 l when four letters picked without replacement from {j: 6, l: 2, c: 4, o: 1, e: 2}. 1/91 What is prob of picking 3 w when three letters picked without replacement from {k: 5, w: 3}? 1/56 Four letters picked without replacement from sqiddiw. What is prob of picking 1 w, 1 q, 1 s, and 1 d? 2/35 Two letters picked without replacement from avavvvaaaavvva. Give prob of picking 2 v. 3/13 What is prob of picking 1 b and 1 n when two letters picked without replacement from bbpbnkbbkk? 1/9 Three letters picked without replacement from xjjttjtxt. What is prob of picking 3 j? 1/84 What is prob of picking 2 p when two letters picked without replacement from {p: 3, h: 5, v: 3}? 3/55 Four letters picked without replacement from {p: 2, q: 2, i: 2}. What is prob of picking 2 q and 2 p? 1/15 Two letters picked without replacement from wrhjrwghjjgwhr. What is prob of picking 1 w and 1 r? 9/91 Calculate prob of picking 1 d and 2 s when three letters picked without replacement from {d: 2, r: 3, s: 10}. 18/91 Calculate prob of picking 3 i and
{ "pile_set_name": "DM Mathematics" }
-3 Solve -5*o - 35 = 2*x, -o + 7 = -4*x - 8 for o. -5 Solve -10 = -l + 3*c, 0 = 5*c - 249 + 259 for l. 4 Solve -2*y + 4*w = -88 + 96, 2*y - 2*w = 0 for y. 4 Solve -4*a - 4 = 4*t + 12, -4*t + 19 = -a for t. 3 Solve -2*m - 18 = -4*v, -m + 4*m + 22 = 5*v for v. 5 Solve -b - 18*i = -21*i - 7, 3*i = 2*b - 5 for b. -2 Solve -6*g + 2*g + 2*t = 20, 3*g + 15 = -5*t for g. -5 Solve 6*a = 5*y + 2*a + 16, a - 3 = y for y. -4 Solve 0 = -3*l - 2*v - 1, 190*v + 23 = l + 186*v for l. 3 Solve 5*w + c + 26 = 0, -33*w + 36*w = c - 14 for w. -5 Solve n - 5*w - 2 = 0, 4*n + 2*w - 2 = 6 for n. 2 Solve 2*o - 7 = -3*g, -5*o - 20 = -7*g + 2*g for o. -1 Solve -2*r - 8 = n, 2*r - 5*n = 18 - 2 for r. -2 Solve 4*n - 2*n - 2*r + 4 = 0, -n + 4*r = 17 for n. 3 Solve -b + 7 = o, 0 = -b + 5*o - 16 - 1 for b. 3 Solve p = -5*z + 6 - 2, 3 = -5*p - 2*z for p. -1 Solve -2*w = -7*w + 4*a + 21, 2*w - 4*a - 18 = 0 for w. 1 Solve -329*s - 4 = -333*s, s + 5 = 3*a for a. 2 Solve -3*z - 2 = 10, -11 = -h + 3*z for h. -1 Solve 7*d = 6*d + 4*c - 8, -5*d = -4*c + 24 for d. -4 Solve 0 = 5*i + 5*m + 40, 0*i + 3*i = -4*m - 28 for i. -4 Solve -v + c = 0, 0 = -72*c + 75*c - 3 for v. 1 Solve 217*j + l = 214*j + 10, -4*l = 3*j + 5 for j. 5 Solve 3*c - f - 8 = -3*f, 4*c - 4*f = 24 for c. 4 Solve 3*p + 4*r - 9 = -1, -1 = r for p. 4 Solve j - 8 = -4*j + y, -3*j + 14 = 4*y for j. 2 Solve -3*j = y - 11, -3*j + 4*y = -7*j + 4 for j. 5 Solve 0 = 3*n - 3, -2*w + 2 = 5*n + 5 for w. -4 Solve 26 = 3*h + 4*b, -2*h - 4*b + 6*b + 8 = 0 for h. 6 Solve -2*p - 5*d + d = -18, -5*d + 15 = 0 for p. 3 Solve 2*v - 5*g - 46 = -29, 4*v = 3*g - 1 for v. -4 Solve 2*z = 3*z - 5*g + 19, -4*g + 21 = 5*z for z. 1 Solve -2*v = 7*b - 4*b - 16, -2*v + 2 = -4*b for v. 5 Solve g + 1 = n, 4*g - 2*n + 7 = 3 for g. -1 Solve v - 7 = -3*c, 3*c = v + v - 5 for v. 4 Solve 2*h - 2*y - 10 = 0, 10 = 2*h - 8*y + 11*y for h. 5 Solve 5*h = 3*u + 22, -4*h = -3*u - 13 - 4 for u. 1 Solve -3*i + 34 = -5*v, 4*i + 2*v = 6*v + 32 for i. 3 Solve -6 = -35*n + 37*n - q, -4*n + 8 = 3*q for n. -1 Solve -44*n + 5*j = -41*n + 32, 5*n + 12 = -2*j for n. -4 Solve 17 = 4*c - 3*u, 2*u = 5*c - 51 + 28 for c. 5 Solve m - 7 - 5 = t, -16 = -2*m + t for m. 4 Solve 5*b = 2*l - 20, 0*b + b - 3*l + 4 = 0 for b. -4 Solve j = -b + 4*j + 12, b + 3 = -2*j for b. 3 Solve -5*h + 5*f + 36 = 6, h - 4*f = 21 for h. 1 Solve -3*r - 34 = -5*q, -3*q + r - 1 = -19 for q. 5 Solve 4*d - 171*o + 5 = -166*o, 2*o = -3*d + 2 for d. 0 Solve -2*c - 4*r + 10 = 0, c + 14*r = 9*r + 8 for c. 3 Solve -3*b + 148*n - 5 = 150*n, 8 = -3*b - 5*n for b. -1 Solve 4*m - 3*g - 6 - 20 = 0, -4*g - 8 = 0 for m. 5 Solve 2*d - 4*m - 28 = 0, -2*m - 2 = -4*d + 6*d for d. 4 Solve -4 = -4*w - 4*j, -2*j = -4*w + 2 + 2 for w. 1 Solve 0 = -u + 2*t - 1, 5*u - 10 = t + 3 for u. 3 Solve 0 = -2*m - 5*x - 36 + 24, -5*x = 20 for m. 4 Solve 2*f + 4*d - 6 = 0, -4*f - d - 3 = -15 for f. 3 Solve -4*g - f - 1 = 0, 175 - 172 = -4*g - 3*f for g. 0 Solve 3*r - 5*k = -22, 2*r - 11*k + 6*k + 18 = 0 for r. -4 Solve -145*t + 2*k = -150*t + 23, -5*t + 3*k = -3 for t. 3 Solve 3*n = -3*j + 15, -3*n = -7*n + 8 for j. 3 Solve 5*z = 3*f - 21, 15*f - 14*f - 17 = 5*z for z. -3 Solve -5*x - 4*t - 29 = 0, 154*x - t - 7 = 155*x for x. -1 Solve -26 = -b + 6*z, -z = 4*b + z for b. 2 Solve 0*p = -p, -2*x + 8 = -4*p for x. 4 Solve 0 = 3*i - 0*i - 2*m + 25, m = 2*i + 15 for i. -5 Solve -4*d = 4*a - 28, 2*d = -0*d + 5*a - 21 for d. 2 Solve u - 20 = -n + 6*u, 4*n + 2*u = -8 for n. 0 Solve -16*c = -12*c - 2*n - 4, -c + 2*n - 2 = 0 for c. 2 Solve 11*j - 8*j = -d + 12, 5*j - 37 = 4*d for j. 5 Solve -12 = 3*y + t, 3*t = -3*y - 10 - 8 for y. -3 Solve 0 = -3*o + 4*b + 28, 5*o - 4 = -2*b - 2*b for o. 4 Solve -2*n = 4*m - 26, -3*m + 6*m = -2*n + 21 for n. 3 Solve -7*p + 2*p + m = 16, 5*m = 5 for p. -3 Solve -3*n + 8 + 1 = 0, 2*n = -5*w + 16 for w. 2 Solve 103*b - 101*b - 3*h = -11, 17 = b + 3*h for b. 2 Solve -3*g - 5 = 2*r + 5, 0 = -4*g - 16 for r. 1 Solve 2*z + 2*t - 4 = -t, 13 = z - 4*t for z. 5 Solve -5*g = -2*n - 39, -4*n + 19 = -3*n + 3*g for n. -2 Solve r = -4*o - r - 8, 28 = -4*o + 3*r for o. -4 Solve h - 57 = 5*p - 68, 0 = -p - 3*h - 1 for p. 2 Solve -4*x = -2*z + 16, 4*z + 155 = x + 173 for x. -2 Solve 5*z + x + 24 = 0, -27*z + 23*z - 4*x - 32 = 0 for z. -4 Solve -2*x = 3*b - 8, -5*x = -4*b + b + 22 for b. 4 Solve -2*m = -2*p - 2*p + 8, -5*m - 20 = 4*p for m. -4 Solve 2*c - 4*c = -5*v, -3*c + 3*v = 0 for c. 0 Solve 0 = -3*a - 5*o - 14, -2*a + 20 = -7*o + 3*o for a. 2 Solve 29 = -4*g + g + 4*j, 2*g - 2*j = -16 for g. -3 Solve 2*u + 6 = -c, 4*u + 3*c = -0*c - 14 for u. -2 Solve 2*s - 4 = p - 0, 0 = -p + 4*s - 8 for p. 0 Solve j - 4*b = -6, 0 = -76*j + 81*j + b + 9 for j. -2 Solve -4*y + 4 = -3*k, -3*y = -k - 3 + 5 for y. -2 Solve q + 5 = -n - 0*n, 0 = 4*n + 3*q + 15 for n. 0 Solve 0 = 4*z - 3*a + 4*a, -4*a = 2*z for z. 0 Solve 0*r + r = 3*l - 8, 0 = -2*r - l + 12 for r. 4 Solve 6*u = 5*v + 2*u - 25, -5*u = 25 for v. 1 Solve 7 + 2 = -4*z - o, 4*z + 14 = -2*o for z. -1 Solve -32 = -95*u + 100*u - 4*i, -5*i + 22 = -4*u for u. -8 Solve -o = -2*b + 37 - 28, 2*b = 8 for o. -1 Solve 3*w = 4*h + 3, 16*w = -4*h + 20*w - 4 for h. 0 Solve -r = 4*s + 25, 5*s + 2*r + 45 = -2*r for s. -5 Solve 2*o + 12 = -4*i, -6*i - 6 = -i - 2*o for i. -2 Solve 0 = 5*w - 2*h - h - 23, 3*h = -4*w + 13 for w. 4 Solve 2*j - j = 3*x + 17, -4*j = 5*x + 17 for j. 2 Solve 2*g - 5*g - 15 = 0, 36 = -4*z - 4*g for z. -4 Solve -20 = 5*h + 5*o, 4*o = 2*o for h. -4 Solve 3*w = 4*i + 7, -i - 12*w = -7*w - 4 for i. -1 Solve 2*k - 4*g = g + 10, -3*k - 19 = g for k. -5 Solve q = 2*o + 2*q + 21, 5*o - 3*q + 25 = 0 for o. -8 Solve 10 = -5*g - 3*m, -2*g - 4*m + 6*m - 4 = 0 for g. -2 Solve -14 = -w + 4*k, -2*w - k = -5*k - 16 for w. 2 Solve 0 = 3*i + 3*h - 21, -7*i = -4*i + 4*h - 23 for i. 5 Solve -2*t + 3*s + 6 = s, 3*t = -4*s - 19 for t. -1 Solve i + 3*f + 9 = 6, -4*f - 12 = 0 for i. 6 Solve 2*o = -4*y + 3*y - 12, 2*y + 29 = -5*o for y. -2 Solve 3*s = 16 - 4, -h + 12 = 4*s for h. -4 Solve -111*z + 116*z - 3*m + 27 = 0, m = -3*z - 19 for z. -6 Solve -4*r = -3*z + 2, -3*r + 13 = -0*z + 5*z for r. 1 Solve 0 = -p - 2*z - 4, 5*p - 2 = -2*z + 10 for p. 4 Solve -4*j + f - 6 = 0, -3*j + 14*f - 5 = 13*f for j. -1 Solve -3*a - 2*a + 2*p = 45, -a = 4*p - 13 for a. -7 Solve 6*p - 3*p - 2*q = -1, 3*q = 4*p + 2 for p. 1 Solve -4*p + 4 = 5*m - 11, -4*p = 0 for m. 3 Solve -3*t + 3*j - 30 = 0, 53*t + 3*j + 5 = 49*t for t. -5 Solve 5*s - 2*u + 33 = 25, 4*u = -s - 6 for s. -2 Solve -3*j - 4*t - 9 = -3*t, 0 = -t - 3 for j. -2 Solve 2*i - 15 = -3*m, -4*m + 6*i - 5*i + 9 = 0 for m. 3 Solve 20 = 5*t, 16 = 5*d + 28*t - 29*t for d. 4 Solve 0 = -5*y + 2*j + 5, y + 19*j - 17*j = -11 for y. -1 Solve -2*s + k = 9, 161 = 2*k + 147 for s. -1 Solve s + t = -7 - 2, 0 = 4*s + t + 21 for s. -4 Solve 2*y + 1 = w, -2*w + 3 = 4*y + w for y. 0 Solve 0 = 3*c + o - 15, -5*c + 2*o + 3*o + 5 = 0 for c. 4 Solve 8 = 2*x - q, 2*x + x + 3*q + 6 = 0 for x. 2 Solve 5*y - 13 = 4*v, 6*y - 5*v = 4*y - 5 for y. 5 Solve -3*j = -s + 3*s - 8, -2 = 5*s + 2*j for s. -2 Solve 2*h - 14 = 3*j - 0*h, -j - 8 = -4*h for j. -4 Solve 0 = -5*w + 10, 0 = 4*z + w - 2 + 4 for z. -1 Solve -2*d + 8 = -5*m, 2*m = d - 7 + 4 for d. -1 Solve 2*y - 6*y + 4*r - 12 = 0, y + 3 = -5*r for y. -3 Solve -4*d + 2 = -2, -4*u = -4*d - 16 for u. 5 Solve 3*p + 3*j + 10 = 2*p, -3*p = -j - 20 for p. 5 Solve 5*p = 4*j + 32, 3*j + 4*p = 4*j + 19 for j. -3 Solve 30*y - 15 = 27*y, -p - 4*y = -14 for p. -6 Solve -5*u + 4*c = 25 + 9, 4 = -u - 2*c for u. -6 Solve c + 3 = 2*x, 0*c = -2*c - 2*x for c. -1 Solve 5 = q + j, 2*j = -q + 11 - 4 for q. 3 Solve o + 5*b = -10 - 3, 0 = 4*o + 2*b + 16 for o. -3 Solve 2*l + 1 = 4*r - 15, -2*l = -5*r + 20 for r. 4 Solve -3*t - 12 = 0, -6*t - 14 = -3*o - t for o. -2 Solve -2*j = -n + 6, 7*j - 16 = 12*j - 3*n for j. -2 Solve c - 2*c + 3*j = 1, -3*j = -6 for c. 5 Solve 36*z - 4 = 3*a + 38*z, -29 = -2*a + 5*z for a. 2 Solve -10*k = -4*w - 5*k - 5, 0 = -3*w - k + 1 for w. 0 Solve -10 = -s - 4*l, 3*s + l = -2*l + 12 for s. 2 Solve -14*x + 5*k + 3 = -11*x, 0 = -3*x - 5*k + 3 for x. 1 Solve 5*p = -3*f + p, 4*p = 0 for f. 0 Solve 0 = -10*p + 9*p + 1, 0 = 2*m - 5*p - 5 for m. 5 Solve -t + 6 = -2*u + 3*u, 0 = -u + 4*t - 4 for u. 4 Solve -4*x - 89*y + 86*y = -14, x + 5
{ "pile_set_name": "DM Mathematics" }
and -4*q**2 + 2*q**2 + 8*q**2 + (2*q - 2*q + q)*(3*q + 3*q - 4*q). 8*q**2 Expand 21 - 21 - 2*a - 4*a**2 + (0*a - 2*a - a)*(0*a - a - a). 2*a**2 - 2*a Expand (1 - 5 + 2)*(c - 1 + 1) - 5*c + 3*c - c + (-10 + 8 - 9)*(3*c - 6*c + 4*c). -16*c Expand 12*o**3 - 19 + 19 + (-o**2 + 0*o**2 + 3*o**2)*(2*o - 3*o - o). 8*o**3 Expand (-j - 1 + 1)*(3*j + 2*j - 4*j) - j**2 - j + j + 81 - 5*j**2 - 81. -7*j**2 Expand 2*j - 2*j + j + j - 1 + 1 + (j + 2*j - j)*(-4 + 5 - 3) + 3*j + 0*j - 4*j. -3*j Expand -b**2 - b**2 + 0*b**2 + (3 - 3 - 2*b)*(b - 2*b - b) + (2 - 1 + 0)*(b**2 + b**2 - 3*b**2) + 0 + 0 - 2*b**2. -b**2 Expand (4 - 5 - 2)*(-j + 3*j + 0*j)*(-2 + 1 + 0 - j). 6*j**2 + 6*j Expand 0*a + a + a + (0 + 3 + 0)*(-3*a + 0*a + 4*a) + (-4*a + a + a)*(0 - 3 + 0) + a + 3*a - 2*a. 13*a Expand (2*z**2 - z + z)*(4*z**3 - 2*z**3 + 0*z**3 + (-z**2 - 3*z + 3*z)*(5*z - z - z) + z**3 + z**3 + 0*z**3 - 4*z). 2*z**5 - 8*z**3 Expand (2 + 0 - 1)*(-58*c**3 - 24 + 43 - 19). -58*c**3 Expand ((-1 - 2*n + 1)*(4 - 5 - 1) - 4*n + 4*n - n)*(4*n**2 - 3*n**2 + 0*n**2)*(-1 - n + 1). -3*n**4 Expand (-2*p**2 - p**2 + 4*p**2 + (-1 + 1 - 2*p)*(p + 4*p - 3*p))*(3*p + 0 + 0). -9*p**3 Expand (-5*r**2 + 5*r**2 + 2*r**4)*(-3*r + 3*r - 6*r) + (-4*r**3 + 6*r**3 - 4*r**3)*(-2 + 2 - 2*r**2) - 2*r**5 - 2*r**2 + 2*r**2. -10*r**5 Expand 2*c**2 - 2*c**2 + 3*c**2 + 2 + 5*c**2 - 2 + (2*c**2 - 3*c**2 - c**2)*(0 + 4 - 2) - 6*c**2 + 3*c**2 + 2*c**2 + c**2 - 1 + 1 + 3*c - 3*c + c**2. 5*c**2 Expand ((-6*v + 0*v + 4*v)*(-2*v + 4*v - 4*v) + 6*v**2 + 0*v**2 - 4*v**2 + 1 - 1 - 2*v**2)*(2 - 2 + 1)*(2 - 4 + 0). -8*v**2 Expand -2*u**3 + 3*u**3 + u**3 + (-117*u + 12*u**2 + 117*u)*(-6 + 6 + u). 14*u**3 Expand (-1 + 1 + j)*(0 + 1 + 1) - 2*j - 6*j - 2*j. -8*j Expand (5 + 4 - 2)*(2*z**2 + 4*z**3 - 2*z**3 - z**2). 14*z**3 + 7*z**2 Expand -z + 0*z - z + (-5 + 0 + 4)*(5*z - 3*z - 3*z) - 1 + 1 - 2*z + 2*z - 2*z - z + (4 + z - 4)*(-1 - 1 + 0) - 2*z + 0*z + 4*z. -4*z Expand (9 - 9 + 4*b)*((-b - 3*b + b)*(-4 + 4 + 2*b) - 3*b**2 + 2*b**2 + 2*b**2). -20*b**3 Expand 3*t**4 - t**4 - t**4 + (-4 + 2*t + 4)*(-2*t**3 + 2*t**3 + 2*t**3) - 16*t**2 + 16*t**2 + 12*t**4. 17*t**4 Expand -18*a + 113 - 113 + (3 - 4 + 4)*(-a + 0*a + 2*a). -15*a Expand (-6 + 1 + 4)*(-88*n**2 - 56 + 69*n**2 + 2*n**4 + 51). -2*n**4 + 19*n**2 + 5 Expand 11*p - 4*p - 4*p - 2*p**4 - 3*p**4 + 6*p**4 - p**4 + (2*p - p**4 - 2*p)*(4 - 5 + 0). p**4 + 3*p Expand 2 - 3*z - 1 + z + (-5*z + 2*z + z)*(1 + 1 - 4). 2*z + 1 Expand y**2 - y**2 + y**4 + (2*y**4 + 0*y**4 + 0*y**4)*(-2 + 6 - 2) + 4*y**4 + y**4 - 4*y**4 + (4 - 4 + y**2)*(y**2 - 6*y**2 + 2*y**2) + 3 + 2*y**4 - 3. 5*y**4 Expand (5*c - 5*c - c**2)*(-2 - c + 2)*(-2 - 3 + 2 + (-2 + 1 + 3)*(-1 + 4 - 4) - 5 + 2 + 4). -4*c**3 Expand (-f**3 - f + f)*(1 + 0*f - f - 3). f**4 + 2*f**3 Expand (0*s + s**5 + 0*s)*(2 + 0 + 1) + 4*s**2 - 4*s**2 + 2*s**5. 5*s**5 Expand -5 + o - 5*o + 3 + (0 - 6 + 4)*(3*o + 0*o - o). -8*o - 2 Expand (-1 + 1 + 3)*(0*r + 4*r**2 + r - 2 - 5*r**2). -3*r**2 + 3*r - 6 Expand -1 + 3*a**3 + 1 + a + (4*a - 2*a - 4*a)*(-6*a**2 + 0*a**2 + 2*a**2). 11*a**3 + a Expand 2*r**3 + 0*r**3 + 0*r**3 + (14*r + 1 - 13*r - 10)*(-2*r + 2*r + r**2). 3*r**3 - 9*r**2 Expand (4*q**4 - 2*q**2 + 2*q**2)*(-2 - 1 + 1)*(5*q + 19*q - 10*q). -112*q**5 Expand -5 - 6 - 3*q**2 + 6*q**2 + (q + 1 - 1)*(-q + 2*q + 0*q). 4*q**2 - 11 Expand (1 - 3 + 4)*(-2*i - 2*i + 2*i) - i + 4*i + 5*i - 3*i + 3 + 0 + i + (-1 - 4 + 4)*(-2*i + 4*i - i). i + 3 Expand (-3*r - 3*r + 7*r)*(-19*r - 35*r**2 + 19*r). -35*r**3 Expand (1 + 2 - 4)*(48 - 48 + 12*w**3). -12*w**3 Expand ((-4*n + 2*n + 3*n)*(n + 5*n - 2*n) + 4*n**2 + 2*n**2 - 4*n**2)*(-3 + 4 - 4). -18*n**2 Expand (-10 + 10 + 2*t**2)*(0 - 2 + 5) + (-3*t + t**2 + 3*t)*(4 - 1 - 1). 8*t**2 Expand -r**2 + 6*r**2 - 4*r**2 + (-40 + 38 + 16)*(-2*r**2 - r**2 + r**2). -27*r**2 Expand (-3*p + 5*p + 2*p)*(0*p**3 + p**4 + 0*p**3) - 2*p**5 + 2*p**5 - 3*p**5. p**5 Expand (4*x**3 + x**3 - 3*x**3)*(-3 - 4 - 1 + 0 + 2 + 0 + 2 - 2 - 2 + (0 + 2 + 0)*(2 + 2 - 2) + 2 + 1 - 4). -10*x**3 Expand (3*s - 2*s**3 - 3*s)*(s + 2*s - 5*s) + (s**2 - 4*s**2 + s**2)*(3 - 3 + s**2). 2*s**4 Expand (-2*r - r + 5*r)*(16 + 14 - 23). 14*r Expand (4*b - 2*b - b)*((3 + 1 - 6)*(0 - 2 + 0) + 3 - 4 + 2)*(-b**3 - b**3 + 0*b**3). -10*b**4 Expand (2*a - 6*a + 2*a)*(1 + 0 + 0) - 17*a - 8*a + 87*a. 60*a Expand (3*w**2 + 0*w**2 - w**2)*(w - 2 + 2)*(-30 + 30 - w). -2*w**4 Expand (2*a - 3*a + 0*a)*(4*a - 4*a - 9*a + (-a + a - 2*a)*(0 - 1 + 2) - 3 - 2*a + 3). 13*a**2 Expand -2*g**5 + 2*g**5 + g**5 + (0 + 0 + 3*g)*(g**4 - 2*g**3 + 2*g**3) + 4*g - 4*g - g**5. 3*g**5 Expand (2*m + 1 - 1)*(-2*m + 14 - 2*m + 2*m). -4*m**2 + 28*m Expand (-4 + 5 - 3)*(65*d - 55*d + 80*d). -180*d Expand (0*z**2 + 0*z**2 - 2*z**2)*(0 + 3 - 15). 24*z**2 Expand 3*q**2 - 2*q**2 - 5*q**2 + (-q - 2*q + 5*q)*(q + 3*q - 7*q) - 3*q**2 - 2*q + 2*q. -13*q**2 Expand (-4*i**2 + 6*i**2 - i**2)*(-1 + i + 1)*(-6 + 3*i**2 + 6 + (0 + 1 + 0)*(i**2 - i**2 - i**2)). 2*i**5 Expand (0*r**2 - 2*r**4 + 0*r**2)*(3*r + r - 6*r) - 9*r**3 - 3*r**5 + 9*r**3 + (-2*r**2 + 2*r - 2*r)*(0*r**3 + 3*r**3 - 2*r**3). -r**5 Expand 3*h**4 + 0*h**4 - 2*h**4 + (h**4 - 4*h**4 + 4*h**4)*(4 - 2 + 1) - h**4 + 2*h**4 + 0*h**4. 5*h**4 Expand -k - 2*k + k + (-4 + 0 + 1)*(-2*k + 2*k - k). k Expand -2*r**5 - 4*r**5 + 3*r**5 + (2*r**2 - 2*r**2 + 5*r**4)*(0*r + 0*r + r). 2*r**5 Expand -11*v**5 + 2*v**5 + v**5 + (-3*v**4 + 0*v**4 + v**4)*(3*v + 3*v - 4*v). -12*v**5 Expand (6*u + 9*u + 8 - 13*u)*(-u - u - 3*u). -10*u**2 - 40*u Expand 0*a**2 + 3*a**2 - 2*a**2 + (3*a**2 - 2*a**2 + 4*a**2 + (0*a + 0*a - 2*a)*(5*a + 0*a - 3*a))*(-3 + 1 + 6). 5*a**2 Expand (2 + 0 + 0)*(-3 - 2 + 3)*(-14 + 14 + 12*q**2). -48*q**2 Expand (2 + 6 - 2 + 3 - 7 + 2 + (-1 - 1 + 0)*(-2 - 2 + 6) + 0 + 3 - 2)*(y - 4 + 4). y Expand (-4*s - 2*s - s)*(1 + 2 - 1)*(-4 + 6 - 4). 28*s Expand 2*d**4 + d**4 + 0*d**4 + (3 - 2 - 2)*(2*d - 2*d - d**4) + d**4 + 4*d**4 - 3*d**4. 6*d**4 Expand (4 - 2 - 4)*(26 - 26 + 4*c)*((4 - 2 - 1)*(4 + 2 - 4) + 2 + 5 - 5). -32*c Expand (-4 - 6 - 3)*(0*n**2 - 3*n**2 + 5*n**2). -26*n**2 Expand (-j - 8*j - 10*j)*(2 + 0 - 1)*(-1 - 3 + 3)*(j**4 - j**4 + j**4). 19*j**5 Expand -3 + 3 - 2*c**4 + (-3 - 2 + 6)*(c**4 - 5*c**4 + 2*c**4) + (0*c**3 - 6*c**3 + 3*c**3)*(-2*c - 2*c + 5*c). -7*c**4 Expand 3*x - 2*x**5 - 3*x + (855 - 855 + 40*x**4)*(2*x + x + 0*x). 118*x**5 Expand (-1 + 1 - p)*((-2*p + 6*p - 2*p)*(-p - 3*p + 2*p) - p + p**2 + p - 3*p + 2*p**2 + 3*p)*(0*p**2 + 2*p**2 + 6*p**2 + (-2*p - p + p)*(-3*p + 4*p - 4*p)). 14*p**5 Expand -4*x - 5 + 5 + (-2 + 2*x + 2)*(1 + 0 - 2) + 26*x - 12*x + 11*x. 19*x Expand (-5*z**2 - 11*z**2 + 5*z**2)*(-4*z**3 + 2*z**3 + 3*z**3). -11*z**5 Expand (-4 + 4 + 2)*(t**2 - t + t) + 7*t**2 + 2 - 2 + (2 - 2 + 5*t**2)*(0 - 1 - 1). -t**2 Expand (0*x + 4*x - 5*x)*(0*x**4 + 0*x**4 - x**4) + 4*x**5 - x**5 + 0*x**5. 4*x**5 Expand -j**4 + 0*j**4 + 0*j**4 + (4*j**3 - 5*j**3 - j**3)*(-30*j - 22*j + 70*j). -37*j**4 Expand (h**2 + h**2 - h**2)*(4*h + 3*h - 6*h) - 2*h**3 + 2*h**3 + 2*h**3 - h + h - h**3 - h**3 + 0*h**2 + 0*h**2 + h**3 + 3*h**3 - 2*h**3. 3*h**3 Expand (1 + 0 + 1)*(5 - 1 - 2)*(16 + 2 - 9)*(0*x**2 - 6*x**2 + 4*x**2). -72*x**2 Expand -2*m**5 - 3*m - 2*m**2 + 2*m**2 + (1 + 1 - 1)*(-m**3 + m**3 + m**5) + m**5 - 4*m**5 + m**5 - 2*m**5 - m**5 + m**5 + 0*m**5 - 3*m**5 - m**5. -9*m**5 - 3*m Expand 3*a**2 - a**2 + a**2 - a**2 - a**2 + 0*a**2 + (-3 + 2*a + 3)*(1 - 1 - 2*a). -3*a**2 Expand (5*l + 12*l - 15*l)*(-3*l + l + 0*l). -4*l**2 Expand (-22*d**2 - 26*d + 26*d)*(d - d - d**3). 22*d**5 Expand (2 - 3 + 0)*(-4 + 4 + s) + s + 4*s - 2*s + 3*s + 2*s - 3*s. 4*s Expand (0*p + 24 - 31 - 2*p)*(2*p - 1 + 1). -4*p**2 - 14*p Expand (m + 0*m + 7*m)*(-3 + m**2 + 3 + (4 - 4 + m)*(3*m - 3*m + m) + 3 + m**2 - 3 + 4 - 4 + 2*m**2 - 1 - 2*m**2 + 1). 24*m**3 Expand (-h + 2*h**2 + h)*(2*h + 0 + 0) - 3*h**3 + 3*h**2 - 2 + 6*h**3 - 5*h**3. 2*h**3 + 3*h**2 - 2 Expand (g - g + g)*(3 + 4 - 4 + (-4 + 1 + 2)*(1 - 2 + 3) - 4 + 14 - 8). 3*g Expand (-8*y - 8 - 197*y + 8)*(4 + 2*y - 4). -410*y**2 Expand ((-5*s - s + 5*s)*(-s**2 + s**2 + 2*s**2) + 47*s**3 + 31 - 31 + 0*s**3 + 0*s**3 + 2*s**3)*(-3 + 0 + 1)*(0*s + 2*s**2 + 0*s). -188*s**5 Expand 11*d + 11*d + 4*d + (-3*d + 4*d + 0*d)*(1 - 5 + 2)*(3 + 3 - 4). 22*d Expand 0 + 0 - 2*p**3 + p + p**3 - p + (-p**3 + p**3 - p**3)*(
{ "pile_set_name": "DM Mathematics" }
is n rounded to four decimal places? -0.0005 Let o = -1.9 - 8.1. Let p = -10.01573 - 0.06027. Let v = o - p. What is v rounded to two dps? 0.08 Let u = 1.9101634 + -1.91. What is u rounded to five decimal places? 0.00016 Let a = -19248822304 + 19248822410.000000595. Let n = a - 106. What is n rounded to 7 dps? 0.0000006 Suppose j + 21591 = 3*k, 108012 = -5*j - 17*k + 13*k. What is j rounded to the nearest 10000? -20000 Let x = 356.2 + -133.6. Round x to the nearest ten. 220 Let l be 5650*(-540)/(-1 - -10). Round l to the nearest ten thousand. -340000 Let d = 0.37 - -29.63. Let h = -10.8 - d. Let z = h - -47. Round z to the nearest integer. 6 Let s = -8.23 - -0.87. Let w = 16 + -23. Let j = w - s. Round j to one dp. 0.4 Let r = -6 + 0. Let w(g) = -229*g**2 - 7*g + 2. Let l be w(r). Round l to the nearest 1000. -8000 Let h = -11.300631 - -11.3. Round h to four decimal places. -0.0006 Let n = 13.117 - 13.2. Let d = n + 0.493. Let k = d + -0.4059. Round k to 3 dps. 0.004 Let j be 3375318/(6/(-15) + 52/80). Let x = j + -8001272. What is x rounded to the nearest one million? 6000000 Let k = -3 + 12. Suppose 5*n + 8 = k*n. Suppose 3*z - q = 1890, 1260 = 4*z - n*z - 4*q. Round z to the nearest one hundred. 600 Let w = 82 - 49. Let u be (w/(-45) - 3/5)*960. What is u rounded to the nearest one hundred? -1300 Let y = -0.7 + 1.025. Let d = 1.865 + y. Round d to 0 dps. 2 Let j = 0.688 + 0.4175. What is j rounded to 1 decimal place? 1.1 Let f = 0.0984823 - -49.5474177. Let x = 162.632 - f. Let m = x + -113. What is m rounded to three decimal places? -0.014 Let b = -297132.650158 - -297132. Let m = -0.65 - b. Round m to 5 dps. 0.00016 Let p = -59.987 + -0.013. Let s = -59.9999688 - p. Round s to 6 dps. 0.000031 Let m = 4392 + -4392.02361. Let h = 0.023 + m. Round h to 4 dps. -0.0006 Let i = -0.006 + -0.067. Let h = 37.943 - 38.2. Let s = i + h. What is s rounded to one decimal place? -0.3 Let y be (-6)/6 - 7*-1. Let i = 0 + y. Suppose -i*p - 192 = -2*p. What is p rounded to the nearest ten? -50 Suppose 5*l - 4*w = 126, -2*w - w = -5*l + 127. Suppose 4*k + 5*m - l = 3*m, 0 = -3*k + 5*m + 13. Suppose k*n + 868 = -n. Round n to the nearest ten. -120 Let k = 182911579854.129997 + -182911680478. Let t = k + 100624. Let g = t + -0.13. What is g rounded to 6 dps? -0.000003 Let x = -21.88 + 3.5. Let v = x - 343.52. Let s = v - -346. Round s to zero dps. -16 Let a = 97.84 - 2.7. Let y = a - 1.64. Round y to the nearest ten. 90 Let n = -0.959 - -9.499. Round n to 0 dps. 9 Let p be (12 - (-4704)/(-12))/(2/760). Round p to the nearest 1000. -144000 Let h = 1.9 + 2.1. Let b = -4.095 + h. Let r = b + 0.03. What is r rounded to 2 dps? -0.07 Let v = 35.501 - -0.299. What is v rounded to zero dps? 36 Let h = -12 - -8. Let f = h - -3.87. Let c = 0.13000015 + f. Round c to seven dps. 0.0000002 Suppose 4*w - 963 = 449. Let k = w + -494. What is k rounded to the nearest ten? -140 Let b = 4.923 - 4.44. Let x = b - 0.483217. Round x to 5 decimal places. -0.00022 Let c(v) = 2382862*v + 29. Let g(x) = 1191431*x + 14. Let f(r) = 3*c(r) - 5*g(r). Let u be f(-7). Round u to the nearest one million. -8000000 Suppose 0 = 5*r + 5*z + 145, 6*r + z = r - 125. Let y be ((-51188)/6)/((-8)/r). Let f = 12394 + y. Round f to the nearest one thousand. -13000 Let v = 2.03 - -264.97. Let t = 251.3 - v. Let a = -17 - t. What is a rounded to 1 dp? -1.3 Let s(y) = -y + 5. Let m be s(8). Let r(p) = -p**3 + p. Let b be r(m). Let j be (19 + 2)*16/b. Round j to the nearest 10. 10 Let g = 489.9472 - 490. Round g to 3 decimal places. -0.053 Let b = 22.5 - 22.5427. What is b rounded to 3 decimal places? -0.043 Let r = -0.0053 + 3.9153. Round r to one decimal place. 3.9 Let y = -0.9117138 + 0.651714. Let q = y - -0.26. What is q rounded to 7 dps? 0.0000002 Let p = 801.0145 + -35421.3832. Let c = 34622 + p. Let b = -1.62 + c. What is b rounded to three decimal places? 0.011 Let d = -382 + 381.911. Round d to two decimal places. -0.09 Let o = -7 - -7.114. Let t = -2.304 + o. What is t rounded to one decimal place? -2.2 Suppose -s = -17*n + 21*n + 4181012, s + 4181003 = -n. What is s rounded to the nearest 100000? -4200000 Let g(f) = 80*f**3 - 18*f**2 + 4*f - 40. Let m be g(10). Round m to the nearest 10000. 80000 Let l = -436.2799129 + 0.0009129. Let c = l + 436. Let i = c + 0.28. What is i rounded to four decimal places? 0.001 Let w(j) = j**2 - j. Let a be w(6). Suppose 3*y - a = o - 6*o, 4*y - 32 = -4*o. Suppose -2*t - 4*i + 296 = t, 2*t - o*i = 203. Round t to the nearest 100. 100 Let h = 21.99573 + -22. Round h to three decimal places. -0.004 Let p(i) = 9*i - 323. Let q be p(17). Round q to the nearest one thousand. 0 Let b = -4.0592043 + 4.059. Round b to 5 decimal places. -0.0002 Let r(p) = -p**2 - 1. Let d(z) = 2259*z**2 + 10*z - 6. Let i(k) = -d(k) + 6*r(k). Let x be i(16). Round x to the nearest 100000. -600000 Suppose -31*f = -18*f - 88530000. Round f to the nearest 1000000. 7000000 Let m = 1487.9999384 + -1488. What is m rounded to five decimal places? -0.00006 Let t = 19 - 30. Let y = -11.0049 - t. What is y rounded to three dps? -0.005 Let m = -94 + 314. Let k = -182976.220129 - -182756.22. Let g = m + k. Round g to 5 decimal places. -0.00013 Let i = -15.37001751 + 15.37. Round i to six dps. -0.000018 Suppose 0 = -10*g + 4*g + 36. Suppose 0 = g*m - 36954 - 22500. Let h be m/(-45) + 4/(-5). Round h to the nearest 10. -220 Let o = -91.39 + -12.51. Round o to the nearest integer. -104 Let q = 326.7176 - 0.2176. Round q to the nearest 10. 330 Let m be 6/(-10)*-5 - (5 + -2). Suppose m = 5*f - u - 92500000, 2*f + 3*u - 37000000 = -2*u. Round f to the nearest one million. 19000000 Let w = -0.5882 + 532.3882. Let x = w - 536.654. Let g = -4.8 - x. Round g to two dps. 0.05 Let x be (18*1)/(-9 + 8). Let u = -20 - x. Let i(z) = -7500*z**3 + z**2 + 3*z + 2. Let w be i(u). Round w to the nearest ten thousand. 60000 Let m = 383 + -383.000000678. What is m rounded to six decimal places? -0.000001 Let s = -16416 + 16449.987. Let l = s - 34. What is l rounded to 2 decimal places? -0.01 Let v = -0.1285 + 0.039. Let f = 0.095 + v. What is f rounded to three dps? 0.006 Let z be (0 - -1) + -1 - 6. Let v(i) = 45*i + 166668*i**2 - 11*i - 15*i - 11*i. Let j be v(z). What is j rounded to the nearest 1000000? 6000000 Let p = 0.1969 + -0.196901939. What is p rounded to seven decimal places? -0.0000019 Suppose -3*k + 532856 = -2*k. Suppose -1411144 = -3*p + k. Suppose 2*l = -2*l - p. Round l to the nearest ten thousand. -160000 Suppose -9*a - 2 = -20. Suppose 2*y - 3 = 3*p + 5*y, -a*y = -p + 2. What is p rounded to 4 decimal places? 0 Suppose -2*n + 5*i = 1, -n - 3*n - 35 = i. Let m be (4/(-8))/(2/n). Let z be 0 - m - (0 - -1169998). What is z rounded to the nearest 100000? -1200000 Let b(h) = 546802*h**2 + 16*h + 30. Let p be b(-5). What is p rounded to the nearest 1000000? 14000000 Let z = 17.889 - 17.9. Round z to one dp. 0 Let x = -817.999155 - -818. Round x to 4 dps. 0.0008 Let l(i) = 2*i**3 + 2*i - 1. Let r be l(1). Let d be 37297960/(-12) - 2/r. Let c = d - -1508164. What is c rounded to the nearest one million? -2000000 Let z = 5.92 - 6. Let c = 212 - 212.02. Let i = c + z. Round i to the nearest integer. 0 Let t(a) = a**3 + 12*a**2 - 13*a - 1. Let w be t(-13). Let l(c) = -11204*c**2 - c - 2. Let k be l(w). Let q = k - -15805. Round q to the nearest one thousand. 5000 Let y = 0.00982 - 0.0086. Round y to 3 decimal places. 0.001 Let k = 0.675 + -0.675000353. Round k to 7 decimal places. -0.0000004 Let z = 157.56 + -153. Round z to 1 decimal place. 4.6 Suppose 172465 = a - 230121. Suppose -2*y + 751292 = -a. Let j = y + 4523061. What is j rounded to the nearest 1000000? 5000000 Let t = 0.032 + -0.452. Let g = t - -1.3. What is g rounded to one decimal place? 0.9 Let l = 5153.97439 + -5154. Round l to 3 dps. -0.026 Let n = -0.0722 + 0.07220253. Round n to 7 dps. 0.0000025 Let k = 5404 - 5404.0002513. Round k to 5 dps. -0.00025 Suppose 0 = -2*t + 4*l, 3*t = -4*l + 2*l + 8. Suppose -t*m = -0*m. Let j be (-3)/((-3)/(-6900) - m). Round j to the nearest 1000. -7000 Let u = -2095255436604.999956 - -2095247656283. Let x = u + 7780299. Let b = x - -23. What is b rounded to five dps? 0.00004 Suppose -4*k - 2221200 = 32*k.
{ "pile_set_name": "DM Mathematics" }
4 + 1/2*f**2 + 0*f + 0*f**3 + 10. What is the second derivative of l(i) wrt i? -42*i Let p(m) = 5*m + 3. Suppose -2*v - 6 = -0*v. Let h be 6/v + 3 + -8. Let u(q) = 15*q + 8. Let w(o) = h*p(o) + 2*u(o). Differentiate w(i) with respect to i. -5 What is the third derivative of 526*q**6 - 4712*q**2 - 4648*q**2 + 9501*q**2 + q wrt q? 63120*q**3 Let t(v) = -v**4 + v**3 + v**2 + v + 1. Let r(d) = -7*d**4 + 4*d**3 + 28*d**2 - 10*d + 3. Let g(o) = -r(o) + 4*t(o). Find the second derivative of g(u) wrt u. 36*u**2 - 48 Let t be 2/12 + 377/78. Let c be (t - 3)*-1 + 6. What is the second derivative of -2*o - 4*o**c + 0*o + 3*o wrt o? -48*o**2 Let o(i) be the first derivative of i**6/15 - 7*i**4/12 - 12*i + 13. Let k(n) be the first derivative of o(n). Find the third derivative of k(p) wrt p. 48*p Let x = 1 - -7. Let y(z) = -z + 16. Let k be y(x). What is the first derivative of k*o + 0*o + 0 + 5 + 3 wrt o? 8 Let y = 50 + -78. Let l be y/8*(-12)/14. Differentiate -4*a**l - 7 + 46*a - 46*a wrt a. -12*a**2 Let g(u) be the third derivative of 0 + 0*u - 7/3*u**3 + 1/6*u**4 - u**2. Differentiate g(a) with respect to a. 4 Let f(x) = 181*x**5 - 6*x**4 - 24*x**2 + 4*x + 6. Let z(v) = -v**5 + v**4 - v - 1. Let k(p) = f(p) + 6*z(p). What is the third derivative of k(n) wrt n? 10500*n**2 What is the third derivative of -293*i**2 + 148*i**2 - 136*i**3 + 2*i + 140*i**2 wrt i? -816 Suppose 0 = -s - 2 + 4. What is the third derivative of -4*b - 12*b**2 - 4*b**s - 5*b**6 + 4*b wrt b? -600*b**3 Suppose x = 8 - 5. Suppose 0 = x*b + 3, 0 = 4*w + 4*b + 5 - 21. What is the second derivative of -f**5 + 4*f + 2*f**w + 0*f**5 wrt f? 20*f**3 Let r be (-6 - -3)*(-4)/6. Differentiate -13*c**4 + 13 + r*c**2 - 2*c**2 wrt c. -52*c**3 Let m(j) = -12*j**3 + 4*j**2 + 6*j - 61. Let u(q) = -q**2 - q + 3. Let a(g) = m(g) + 6*u(g). What is the derivative of a(k) wrt k? -36*k**2 - 4*k Let a(g) = -g**2 + g - 1. Let v(x) = -5*x**2 - 9*x - 5 - 9*x**3 - 30*x**3 + 54*x. Let p(t) = 5*a(t) - v(t). Find the second derivative of p(s) wrt s. 234*s Let x(w) = -14*w + 19. Let n(h) = 21*h - 29. Let l(a) = a. Let s be l(5). Let d(g) = s*n(g) + 8*x(g). What is the first derivative of d(v) wrt v? -7 Suppose 6*f - 292 = -58. Suppose -f + 36 = -v. What is the third derivative of 8*k**5 + v*k**2 - 5*k**2 + 15*k**2 wrt k? 480*k**2 Differentiate 2 - 8*p**4 - 15*p**4 - 17*p**4 + 5 - 2*p**3 + 10*p**4 wrt p. -120*p**3 - 6*p**2 Let x(l) = 46*l**4 - 3*l**3 - 3*l**2 - 6*l + 149. Let m(r) = -r**3 - r**2 - r - 5. Let y(n) = 3*m(n) - x(n). What is the derivative of y(p) wrt p? -184*p**3 + 3 Find the third derivative of 64*i**2 - 166*i**3 + 57*i**2 + 146*i**2 + 24*i**2 + 137*i**2 wrt i. -996 Let a = -29 + 28. Let l(k) = -3*k + 10. Let o(h) = h + 1. Let f(t) = a*l(t) + 5*o(t). Differentiate f(p) with respect to p. 8 Let x(c) = -c**3 + c**2. Let l be (-2)/4 - 125/(-50). Let r(u) = 20*u**3 - 10*u**2. Let n(v) = l*r(v) - 2*x(v). What is the third derivative of n(o) wrt o? 252 Let c(g) = -1 + 3 + 123*g**3 - 116*g**3. Let q(h) = h**2 + 1 + 2 + 0 + 8*h**3. Let l(m) = -3*c(m) + 2*q(m). Find the third derivative of l(n) wrt n. -30 Let y(t) = 17*t**4 - 2*t**2 + 56*t. Let j(x) = -51*x**4 + 7*x**2 - 167*x - 1. Let w(m) = -2*j(m) - 7*y(m). Find the second derivative of w(k) wrt k. -204*k**2 What is the third derivative of -539*b**6 - 207*b**5 + 1076*b**6 - 534*b**6 - 373*b**2 + 145*b**2 wrt b? 360*b**3 - 12420*b**2 What is the first derivative of 9 + 377*q**3 + 2 - 449*q**3 wrt q? -216*q**2 Let h = 18 + -17. Let m be (-4)/((-3)/3) - h. What is the third derivative of 6*k**2 + 0*k**m + 8*k**6 + 0*k**3 + k**2 wrt k? 960*k**3 Let i(y) = -y**4 - 5*y**2 - 54. Let z(j) = -j**4 - j**2. Let c(x) = i(x) - 6*z(x). Differentiate c(m) with respect to m. 20*m**3 + 2*m Let v(p) = 1090*p - 1880. Let g(f) = 121*f - 209. Let d(h) = -35*g(h) + 4*v(h). Differentiate d(n) with respect to n. 125 Let m(x) be the third derivative of -x**7/10 + x**6/120 - 47*x**5/6 + 526*x**2. What is the third derivative of m(g) wrt g? -504*g + 6 What is the second derivative of -163*s**4 - 115*s - 164*s - 391*s**4 - 65*s wrt s? -6648*s**2 Let i(x) be the second derivative of 7*x**4/4 + 151*x**2 + 258*x. Differentiate i(f) with respect to f. 42*f Let c(d) be the third derivative of -19*d**5/60 - 43*d**3/3 - 18*d**2 + 1. Find the first derivative of c(x) wrt x. -38*x Let r(s) be the first derivative of 0*s + 27/4*s**4 + 0*s**2 + 7 + 16/3*s**3. What is the third derivative of r(f) wrt f? 162 What is the third derivative of 349*b**6 + 26*b + 3*b**2 + b**2 - 9*b + 7*b**2 - 14*b**2 wrt b? 41880*b**3 Let k(u) be the first derivative of -2*u**7/105 - 5*u**4/12 - 11*u**3/3 - 7. Let h(i) be the third derivative of k(i). Find the first derivative of h(o) wrt o. -48*o**2 Let i(r) be the second derivative of -29*r**6 + 41*r**4/3 - r**3/6 + 3*r + 49. Find the third derivative of i(j) wrt j. -20880*j Suppose 0 = -3*w - 0*w + 9. Let l be (-1)/5 + 3 + (-3)/(-15). What is the second derivative of l*j - 4*j + 9*j**w + 0*j wrt j? 54*j Let z(u) = u**3 + 3*u**2 - 3*u - 4. Let d be z(-3). Suppose d*l = -0*l + 65. Find the second derivative of -c**5 - 18*c + 3*c**5 + l*c wrt c. 40*c**3 Let v(y) = 12*y**3 + 9*y**2 - 306. Let l(p) = p**3 - 3*p**2. Let k(u) = -3*l(u) - v(u). Find the first derivative of k(f) wrt f. -45*f**2 Suppose 14 = -67*m + 74*m. Let o(k) be the second derivative of -1/3*k**3 + 0 - 1/3*k**4 + 3*k + 0*k**m. Find the second derivative of o(y) wrt y. -8 What is the third derivative of 99*i**2 - 8833*i**3 + 8833*i**3 - 60*i**4 wrt i? -1440*i Let m(v) be the third derivative of v**7/210 + v**6/5 + 25*v**3 - 49*v**2. Differentiate m(i) wrt i. 4*i**3 + 72*i**2 Suppose -4 = m - 2*m. Find the third derivative of 5*v**m + 973*v**2 - 959*v**2 + 11*v**4 wrt v. 384*v Let u = -45 - -47. Suppose w - 2*w - 3*n - 12 = 0, 2*n = -10. Find the second derivative of -9*d**u + w*d**2 - 2*d - 6*d + 0*d**2 wrt d. -12 Suppose -5*d = 5*t - 165, 2*t = d - 0*d + 72. What is the second derivative of -20*j**5 + 16*j - t*j + 16*j wrt j? -400*j**3 Suppose 2*f = -4*v + 28, 5*f + 3 = -7. Let p = v - 7. Differentiate p + 6*r**2 - 2 + 6 + 0 wrt r. 12*r Let t(v) be the first derivative of 7*v**4/4 + 6*v**3 - 89*v**2/2 - 158. Find the second derivative of t(f) wrt f. 42*f + 36 Let q(x) be the third derivative of -61*x**4/2 - 39*x**3 + 3*x**2 - 76. What is the first derivative of q(v) wrt v? -732 Let c = 2 + 0. Find the second derivative of 6*y**c - 11*y**2 - 2*y - 3*y wrt y. -10 Suppose 4*p - 12 = -4*r, 3*r = -p - r. Suppose -p*w = -w. What is the first derivative of -4 - 1 + w + 7 - 7*i**4 wrt i? -28*i**3 Suppose -9 = -6*f + 21. Let o(g) be the first derivative of 5 - 2/3*g**3 + 0*g**2 - f*g. What is the first derivative of o(u) wrt u? -4*u Let a(c) be the first derivative of 23*c**6/3 - 8*c**3/3 - 7. Find the third derivative of a(x) wrt x. 2760*x**2 Let p(k) be the second derivative of k**6/30 - 29*k**5/20 + 87*k**4/4 - 87*k. What is the third derivative of p(n) wrt n? 24*n - 174 Suppose 6 = -2*n + 12. Suppose n*o + 3*o - 12 = 0. What is the derivative of -3*d**o - 6 + 0 + 9*d**2 + 5*d**2 wrt d? 22*d Let q(m) be the third derivative of 19*m**6/40 + 11*m**5/3 + m**2 - 3*m. What is the third derivative of q(c) wrt c? 342 Find the second derivative of -2*l**3 - 17*l**3 - 2*l + l - 17 + 7*l**3 - 80 wrt l. -72*l Let x(v) = 5*v**2 - 3. Let o be 6/21 + (-40)/(-7). Let m(g) = -1. Let n be ((-6)/108*6)/(2/6). Let h(r) = n*x(r) + o*m(r). What is the derivative of h(w) wrt w? -10*w Find the first derivative of 443 + 271*r - 227*r + 203*r wrt r. 247 Let k = 84 + -67. What is the second derivative of -10*b**5 + 14*b**5 - k*b - 9*b**5 wrt b? -100*b**3 Suppose -4*o + 22 = -0*o - 5*y, -3*y - 9 = -o. What is the second derivative of -7*k**3 + 0*k**o + 3*k + k**3 - 5*k**3 wrt k? -66*k Let b(s) be the first derivative of -8*s**3 - 4*s**3 + 13 - 21*s - 3*s**3 + 42. What is the derivative of b(l) wrt l? -90*l Let z(r) = 14*r**2 - 19*r + 3. Let u(j) = -27*j**2 + 38*j - 5. Let f = -12 + 15. Let c(o) = f*u(o) + 5*z(o). What is the second derivative of c(a) wrt a? -22 Suppose -20 + 2 = -3*p + k, 0 = -3*p - k + 12. Let s = 40 - 34. Differentiate -5 + 4 + s*y + p - 2*y with respect to y. 4 Let b be 1885/143 - (-2)/(-11). Suppose -b*x = -1
{ "pile_set_name": "DM Mathematics" }
0*w - w - c + 34 = 0, l*w = 3*c + 58. Calculate the greatest common factor of w and 8. 8 Suppose -88 = -20*y + 12*y. What is the greatest common factor of y and 297? 11 Let z be 10/(-4)*4*5/(-10). Let p be 6*(4 + 20/z). What is the greatest common divisor of p and 32? 16 Let g = 2050 + -2023. What is the greatest common divisor of 675 and g? 27 Let m(s) = -15*s - 405. Let w be m(-28). What is the greatest common divisor of 130 and w? 5 Suppose 0 = m - 4*m - 4*s + 188, -2*s - 236 = -4*m. Calculate the greatest common divisor of m and 150. 30 Let z be 1 + -6 + 664 - (4 + -3). Calculate the highest common divisor of z and 94. 94 Let r(i) = -2*i**3 + 16*i**2 + 4*i - 5. Let o be r(8). What is the greatest common factor of 351 and o? 27 Let p = 41 - 30. Suppose -9*m - 50 = -p*m. Let q(o) = -o**3 - 2*o**2 - 2*o + 1. Let b be q(-2). Calculate the highest common factor of b and m. 5 Suppose 0 = 18*y - 6887 + 1145. Let a be (-2)/4*(-57 + -1). What is the greatest common divisor of a and y? 29 Let z(x) = -x**3 - 6*x**2 + 4*x - 2. Let k be z(-6). Let q = 51 + k. What is the greatest common factor of 10 and q? 5 Suppose -8*q - 9 = -11*q. Suppose n - 137 = -2*v, v - 5*n + q*n - 71 = 0. Calculate the highest common factor of 46 and v. 23 Suppose 13 = 2*i - 5. Suppose 0 = -5*v, -46 = -2*m - 8*v + 3*v. Suppose 3*z + 48 = 4*l, z = -3*l + m - 0. Calculate the greatest common divisor of i and l. 9 Suppose -69 = -8*m + 27. Let o be 2/8 + 15/4. Calculate the greatest common divisor of o and m. 4 Let m be (-2)/(-6)*28 + 4/(-3). Suppose -2*x + 3*x - m = 2*v, -5*x + 72 = -2*v. What is the greatest common factor of 48 and x? 16 Let l be (-5)/3*18/(-5). Suppose -7*a + l*a + 65 = 0. Let x = 200 - a. What is the greatest common divisor of 15 and x? 15 Let y(o) = o**3 - 3*o**2 - 25*o - 16. Let a be y(7). Let h = -7 + 12. What is the greatest common factor of h and a? 5 Suppose 352 = 2*w + 2*t, -2*t - 3*t = -5. Let r be -25*(1/(-5))/((-8)/(-40)). What is the greatest common divisor of w and r? 25 Let m(f) = f**2 - 7*f - 2. Let i be m(4). Let x = i - -18. Suppose 5*q + 5*o = 115, 7 = q - x*o - 11. Calculate the highest common factor of q and 2. 2 Let i(k) = -35*k - 204. Let m be i(-8). Calculate the highest common factor of m and 722. 38 Suppose -168 = -3*h + 4*v - 6, 247 = 4*h + 5*v. What is the greatest common factor of h and 2? 2 Let f(v) = 2*v - 10. Let o be f(10). Let a be ((-56)/(-70))/(4/o). Suppose -5 = w, -6*m - 2*w = -a*m - 62. Calculate the highest common divisor of m and 18. 18 Let i be 71/(-3 - -4) - 5. Suppose -4*g + g + i = 0. Calculate the highest common factor of 121 and g. 11 Suppose 8*a - 5 = 27*a - 233. Suppose 40 = l - 8. Calculate the highest common divisor of l and a. 12 Suppose -3*c + 16 = -20. Let u = -8 + c. Suppose -50 = -u*o - o. Calculate the greatest common divisor of o and 30. 10 Suppose 11*y - 7*y - 29 = -f, 0 = 4*f - 3*y - 192. Calculate the greatest common factor of 1170 and f. 45 Let q(l) = -2*l**3 + l**2 - 2*l + 45. Let p be q(0). Calculate the highest common divisor of 9 and p. 9 Let r = -81 + 87. Suppose 3*l + 10 = 82. Calculate the highest common divisor of r and l. 6 Let z be ((-22)/55)/(2/(-50)). Suppose 0 = b + 1 - z. What is the highest common factor of 1 and b? 1 Let b(o) = -2*o + 6. Let g be b(2). Suppose -g*c + c + 231 = 0. Calculate the greatest common factor of c and 21. 21 Let v(g) = -38*g**3 - 2*g**2 - 4*g - 1. Let l be v(-1). What is the greatest common divisor of 624 and l? 39 Let f = -173 + 389. What is the highest common factor of f and 27? 27 Let f = -1 - -4. Suppose f*j - 6*j + 81 = 3*q, 3*q - 111 = -4*j. Suppose 31 = 2*h + 7*a - 6*a, -a = -5*h + 74. What is the highest common factor of j and h? 15 Suppose -5*k + 3*h + 1875 = 0, -3*h = 5*k - 5*h - 1880. Suppose -q + k = 6*q. Calculate the highest common factor of q and 6. 6 Suppose 2*q = -2*q + 276. Let o = q + -55. What is the highest common divisor of o and 224? 14 Let a(s) = -s**3 - 6*s**2 + 2*s + 5. Let k be a(-7). Suppose 7*v = -24 + 3. Let o be (-2*24/(-16))/(v/(-20)). Calculate the greatest common factor of o and k. 20 Let x = 223 + 51. Suppose 3*g - 6 = 0, -4*s = -0*g + 5*g - x. Calculate the highest common divisor of s and 44. 22 Let a(h) = -51*h**3 + 3*h + 4. Let l be a(-1). Suppose 241 = 7*y + l. What is the highest common factor of 18 and y? 9 Suppose 336 = t + 3*t. Suppose -y + t = -2*o + o, 2*y + 2*o = 168. Let v = -928 + 949. What is the highest common divisor of y and v? 21 Suppose 17*m = 1195 + 29. Calculate the greatest common divisor of m and 9. 9 Let l = 303 + -276. Calculate the highest common divisor of 18 and l. 9 Let i be -4 + -3 + -2 + 5. Let p be (-9)/(-6) + (-10)/i. Suppose b + z = p*b - 104, -z = 5*b - 184. Calculate the greatest common factor of 24 and b. 12 Let b = 332 - 318. What is the highest common divisor of 21 and b? 7 Let z = 368 - 353. Let r be -358*1*2/(-4). Suppose y + r = 4*k, -2*k + 5 = -2*y - 83. Calculate the highest common divisor of k and z. 15 Let l = -16 - -21. Suppose l*v = -3*p + 63, -p + 3*p - 55 = v. Suppose 2*r = -17 + 43. What is the highest common divisor of r and p? 13 Suppose 314 = 2*c + 2*j, -4*c + 636 = j + 23. Suppose -s + 4*u = -35, 4*s = 8*s - 4*u - 92. What is the highest common factor of s and c? 19 Let i be -1 - -1 - (-2 - -1). Let a be (-2)/(-2)*-1*(-6)/i. Let x(v) = v**2 + v + 6. Let l be x(0). What is the greatest common factor of a and l? 6 Let y = 539 + -467. What is the highest common factor of 6 and y? 6 Let k(c) = 7*c + 3*c - 2*c - 7*c**2 + c**3. Let q be k(6). Let n(z) = -18*z**2 - 180*z + 12. Let t be n(-10). Calculate the highest common factor of t and q. 12 Let j be (1 + 1)/(4/(-6)). Let z be (-6)/2 - j - -12. Suppose 0 = -5*p + 12 + 18. What is the highest common factor of p and z? 6 Let p(c) = c + 23. Let x be p(-6). Calculate the greatest common divisor of x and 255. 17 Let u = -544 + 568. Let v(i) = -i**3 - 6*i**2 - 8*i - 3. Suppose 0 = 5*t + 1 + 24. Let w be v(t). What is the highest common divisor of w and u? 12 Let g = -12 + 12. Suppose 2*c + c + 15 = g. Let m(j) = -j**2 - 9*j + 2. Let b be m(c). What is the greatest common divisor of b and 22? 22 Let a(h) = h**3 + 4*h**2 - 7*h - 1. Let y be a(-5). Let z = -3 + y. Suppose 48 = z*l - 2*l. Calculate the greatest common divisor of l and 48. 12 Let c(f) = 29*f - 139. Let r be c(6). What is the highest common divisor of 42 and r? 7 Let b = 238 - -402. Calculate the highest common divisor of b and 60. 20 Let q(x) = -x**2 - 7*x - 8. Let m be q(-3). Let r be -3 + m - (-2)/(-2 + 4). What is the highest common divisor of r and 22? 2 Let d = -1139 - -1199. Let o be (4/(-6))/((-2)/72). Calculate the highest common divisor of d and o. 12 Let z be (-2)/(-7) - (-21)/(-98)*-1464. What is the highest common factor of z and 2? 2 Suppose -2*t + 2 + 8 = 0. Suppose -2*p + t*a - 16 = 0, 0*p + 14 = 3*p + 2*a. Let b be 301/21 + p/3. What is the greatest common factor of b and 5? 5 Suppose -9*m + 181 + 575 = 0. Let o = 132 - m. What is the highest common factor of 6 and o? 6 Let u = 267 + -258. Calculate the highest common divisor of u and 54. 9 Let s(f) = 13*f - 30. Let z(m) = -7*m + 15. Let r(n) = 3*s(n) + 5*z(n). Let v be r(18). Calculate the highest common factor of v and 19. 19 Let y(g) = -g**2 - 47*g - 18. Let m be y(-10). What is the highest common factor of 11 and m? 11 Let s = -33 + 31. Let h be (26/13)/(s/(-1)). Calculate the highest common factor of h and 2. 1 Let f = 1 - 0. Let y(u) = 72*u**2. Let n be y(f). Let m(k) = -274*k + 1382. Let t be m(5). Calculate the greatest common divisor of t and n. 12 Let g(k) = k**3 - 16*k**2 - 28*k + 27. Let m be g(18). What is the highest common factor of 19 and m? 19 Let d = 24 + -20. Suppose d*z = -z + 45. What is the highest common factor of z and 81? 9 Let d(n) = n**2 + 4*n - 1. Let c be d(-6). Let w be 94 - 4 - (34 - 43). What is the greatest common divisor of c and w? 11 Suppose 2 = 2*i - 0*i. Let t be (1 - -2) + (0 - i). Let p be -6 + t - 0 - -121. What is the highest common divisor of p and 13? 13 Let b(a) = -a**3 + 7*a**2 - 5*a - 3. Let n be b(5). Let m be -1*(((-5)/3)/((-75)/90) - 4). Calculate the greatest common factor of m and n. 2 Let m(y) = -y**3 + 11*y**2 - 13*y + 12. Let h be m(8). Suppose -8
{ "pile_set_name": "DM Mathematics" }
rt(3)) + sqrt(108)*-4)**2. -1792 - 390*sqrt(3) Simplify -1 + ((2*sqrt(240))/sqrt(12) + 1*sqrt(20)*1)/(5*(4*sqrt(90) - sqrt(90))) + -1. -2 + sqrt(2)/15 Simplify (-4*-4*((sqrt(35) - -2*sqrt(35)) + sqrt(35)))/(sqrt(720) - sqrt(720)*-1*1). 8*sqrt(7)/3 Simplify -2*((5 + sqrt(288) + -5)*-6 + 1)*-3. -432*sqrt(2) + 6 Simplify (1*(4 + -4*(0 + sqrt(891)) + sqrt(891) + sqrt(891)*-2 + 1 - (5 + -3*(-1 + sqrt(891) + sqrt(891)) + 2)))**2. -90*sqrt(11) + 916 Simplify (1 + -6*(-3 + 4*(1 + sqrt(1300))**2*-1))*-3. -93729 - 1440*sqrt(13) Simplify ((-6*(1 + 4 + sqrt(2736) - sqrt(2736))*-5)**2 + -4)*-1*3. -67488 Simplify 5*(-1*6*sqrt(475)*1*-6)**2*5*-2. -30780000 Simplify (sqrt(132) - (sqrt(132) - (sqrt(132) + -1*sqrt(132))*2) - sqrt(132))/(sqrt(48)*6) + (-2 + sqrt(704) + sqrt(704) + 5)*-4. -769*sqrt(11)/12 - 12 Simplify 3 + 5 + 1*(1*(sqrt(112) + 1) + 0 + -1 + sqrt(112))*-3. -24*sqrt(7) + 8 Simplify ((-3 + (2 + 3*(-1*sqrt(2) - sqrt(2)))*5 + -5)**2 + -5)*-6. -10794 + 720*sqrt(2) Simplify -5 + 5*(-4*sqrt(100)/sqrt(5)*-5)/(sqrt(64)*3 + (sqrt(120)/sqrt(5) + sqrt(24))/sqrt(6)). -5 + 50*sqrt(5)/7 Simplify (-3*(-4*(sqrt(13) - sqrt(13)*-1) + 2) + ((sqrt(156) - 2*sqrt(156))*3)/sqrt(12) + 4)**2. -84*sqrt(13) + 5737 Simplify ((1*sqrt(896) - (sqrt(56) - ((sqrt(56) - 5*(sqrt(56) + sqrt(168)/sqrt(3))) + sqrt(56))))/((sqrt(88) + -3*sqrt(88) - sqrt(88))/sqrt(11)*2))**2*5. 875/36 Simplify (-2*sqrt(187)*6)/(sqrt(132)/(sqrt(12)*1)) + -3 + (sqrt(425) + 1)*6. 3 + 18*sqrt(17) Simplify (3 + -1*(sqrt(605) - (2*sqrt(605) + -2) - sqrt(605) - sqrt(605)))**2 + (-2 + sqrt(605) + 0 + (sqrt(605)*2)**2*3)*-5. -30844 + 11*sqrt(5) Simplify (-2*sqrt(104)*2)/(-1*sqrt(288)) + -5*sqrt(65)/(sqrt(360)/sqrt(8)). -sqrt(13) Simplify sqrt(220)/(sqrt(5)*1) + (2*(sqrt(132) - sqrt(132)*2) + sqrt(132))/sqrt(12) - ((-2*(sqrt(55) + 4*sqrt(55)))/((sqrt(220)/sqrt(4))/sqrt(11)))**2. -1100 + sqrt(11) Simplify -3 + (sqrt(192) + 1 + 0 + sqrt(192) + -3*(sqrt(192) + 1 + sqrt(192)) - (-3*(sqrt(192) + 0) - ((sqrt(192) - (sqrt(192)*3 + sqrt(192))) + -3)))**2. 320*sqrt(3) + 3094 Simplify ((4*sqrt(252) - sqrt(28)) + sqrt(448) + -4*sqrt(448))/(sqrt(4) + 6*sqrt(64) - (sqrt(4) + sqrt(196)*-1)). -sqrt(7)/31 Simplify (2*((2*sqrt(110)*-4)/sqrt(5))/(sqrt(44)/(2*(sqrt(4) - (-2*sqrt(4) - sqrt(4) - sqrt(4))) - sqrt(4))))**2. 41472 Simplify -6*(2*(-2*sqrt(475) + sqrt(475) - sqrt(95)/(sqrt(10)/sqrt(2)))**2 + (sqrt(133) + (sqrt(133) + 5*-1*sqrt(133) - sqrt(133)))/(sqrt(63) + -2*sqrt(63))). -8208 - 8*sqrt(19) Simplify (2 + -4*(sqrt(605) + -1) + sqrt(605) + 3 + (-4 + (sqrt(605) - (sqrt(605) + 4)) + sqrt(605))*1)**2 + 0. -44*sqrt(5) + 2421 Simplify (-2*(sqrt(11) - (1 + -1 + sqrt(11))) + -5)**2 - ((sqrt(121) - (sqrt(121) - (sqrt(121) + sqrt(121)*-1*5 + sqrt(121))) - sqrt(121))/(sqrt(1331)*-2))**2. 271/11 Simplify ((3 + (-5 + 3 + (sqrt(343) + sqrt(343)*2 - sqrt(343)))*5*-4)*1 + 1)**2. -24640*sqrt(7) + 550736 Simplify (((-1*sqrt(336))/sqrt(12))/(sqrt(242) - sqrt(242)*2))/(-4*2*sqrt(112)*2)*1. -sqrt(2)/704 Simplify (4*(sqrt(832) + sqrt(832) + -2)*1)**2 + (sqrt(78) - (sqrt(78) + 1*sqrt(78)*3 - sqrt(78)))/((2*sqrt(24))/sqrt(4)). -1025*sqrt(13) + 53312 Simplify (4 + -4 + 0 + -5 + 4 + (sqrt(180) + sqrt(180) + -1 + sqrt(180))*3 + 5)**2. 108*sqrt(5) + 14581 Simplify -4*((-1 + (1*-1*sqrt(720) + sqrt(720))*1 + 0)**2 + 1). -8 Simplify ((sqrt(216)*1)/((sqrt(9) - sqrt(9)*-2)/sqrt(3) + sqrt(3) - sqrt(24)/sqrt(2))*-4)**2. 288 Simplify ((sqrt(2448) + (-1 + sqrt(2448))*-5 + 0 - (5 + (1*sqrt(2448) + 0 - sqrt(2448))))*5)**2. 979200 Simplify (-5 + -5*sqrt(72) + -3 + 0 + (2*-2*sqrt(72) - (-3*sqrt(72) + sqrt(72) + 0))**2)*-5. -1400 + 150*sqrt(2) Simplify ((sqrt(66) + 1*2*sqrt(66))/(-3*sqrt(11)*-1))/((sqrt(90)/(sqrt(9) - sqrt(18)/sqrt(2) - sqrt(9)))/(-2*sqrt(180))). 12*sqrt(3) Simplify 1*sqrt(72)*-3*-2 + -2 + 5. 3 + 36*sqrt(2) Simplify ((sqrt(20)*2*1 - sqrt(20)) + sqrt(20))/(-1*sqrt(4)*-2) + ((1*sqrt(2000))/(sqrt(20)/(-4*sqrt(5)) + sqrt(4)))**2. sqrt(5) + 8000/9 Simplify 4*(2*5*sqrt(24)*-3)/(sqrt(64)/(-2*sqrt(72))). 720*sqrt(3) Simplify 2 + (3*(((sqrt(550)*-1 - sqrt(550))/sqrt(10))/(sqrt(275)*2) + (2*sqrt(375))/(sqrt(33)/(sqrt(11)*2) - sqrt(3))))**2. 91819/5 Simplify (sqrt(4356) - 2*sqrt(4356))/(-2*sqrt(300) + sqrt(12)) + 2*sqrt(1728) + 1. 1 + 443*sqrt(3)/9 Simplify (((sqrt(45) - -2*sqrt(5445))/sqrt(3))/(sqrt(30)/(-3*sqrt(30)/sqrt(3))) + 3)*-1. -3 + 69*sqrt(5) Simplify sqrt(32)*2 + (sqrt(2) + -2)*2 + (sqrt(242) + 0)**2 + -3 + (-2 + (sqrt(242) - 2*sqrt(242)))**2. 54*sqrt(2) + 481 Simplify -5 + (5 + -1*(0 + sqrt(17)) + -4 - ((2 + sqrt(17))**2 + 3 + (sqrt(833) - (sqrt(833) + -2))))*3. -80 - 15*sqrt(17) Simplify ((sqrt(96) - (sqrt(96) - -2*(sqrt(96) + (sqrt(96) + sqrt(96)*1 - sqrt(96)) + sqrt(96))))/(sqrt(300)*-1))/((sqrt(2880)*2)/sqrt(5)*-4). -sqrt(2)/80 Simplify (sqrt(315)/(sqrt(20)/sqrt(4)))/sqrt(9)*-5 - (1 + sqrt(42)/sqrt(6)*2)*4. -13*sqrt(7) - 4 Simplify (-2*(sqrt(21) + (sqrt(21) - sqrt(756))) + sqrt(21) + (sqrt(42)/sqrt(2)*6 - sqrt(21)))/((-6*sqrt(112))/((sqrt(48) + sqrt(48)*1)/sqrt(12)))*2. -14*sqrt(3)/3 Simplify -3 + 6*(sqrt(500) - (sqrt(500) + -2))**2 + -3 - (5 + -3*(3*(1 + sqrt(500)) - sqrt(500))**2). 360*sqrt(5) + 6040 Simplify -2*(-1 + -4*(-3 + (3*sqrt(475)*1 - sqrt(475) - sqrt(475))*-6))**2. -547442 - 5280*sqrt(19) Simplify (2 + -4*(0 + -4*(4 + sqrt(1700) + sqrt(1700)))*5)**2. 1030400*sqrt(17) + 43623684 Simplify (6*(sqrt(2904) - (sqrt(2904) - (sqrt(2904) - (sqrt(2904) + sqrt(2904)*1 - sqrt(2904))))))/(-2*(-4*sqrt(72))/sqrt(6)). 0 Simplify (4*((sqrt(204) - (sqrt(204) - -1*sqrt(204)*-6))*6)/(sqrt(108) + 4*(sqrt(108) - 2*sqrt(108))) + -3)*-2. 6 + 32*sqrt(17) Simplify (sqrt(10)/sqrt(2)*-4 + 0 + sqrt(245))**2 + ((sqrt(405)*2 + sqrt(405) + -1)*2)**2. -216*sqrt(5) + 14629 Simplify (-1*(sqrt(171)*2*-1 + sqrt(171)) + ((sqrt(171)*2 + sqrt(171))*4 + sqrt(171) - (-2*(sqrt(171) + -2) + sqrt(171))) + -4)**2. -720*sqrt(19) + 38539 Simplify 2*(1 + sqrt(11) + 0)*-2*-4 - (-2 + 3 + sqrt(44) + -4)*1. 19 + 14*sqrt(11) Simplify ((2*-1*sqrt(250))/(sqrt(160)*-4))/(4*4*(sqrt(5) - (sqrt(605) - (sqrt(605) + (sqrt(605) - (sqrt(605) + sqrt(605)*-1 - sqrt(605))))))). sqrt(5)/2944 Simplify (sqrt(1573)*2 + -3 + sqrt(1573) + -5*-1*sqrt(1573) + sqrt(1573))**2 - (-3 + (sqrt(1300) - sqrt(1300)*4) + -1). -564*sqrt(13) + 127426 Simplify -5 + -3*((sqrt(3) + 1)**2 + 1)*1 + sqrt(243) + (sqrt(243)*-1)**2 + -4 + -2 + -2. 3*sqrt(3) + 215 Simplify (2 + (4*1*sqrt(960))/((sqrt(432) + 2*sqrt(432) + sqrt(432))*6))*-5. -10 - 5*sqrt(5)/9 Simplify ((1*sqrt(6912))/(sqrt(8) - sqrt(800)*1))/((-5*(sqrt(16)*-2 - sqrt(16)))/((sqrt(32)/sqrt(4) + sqrt(8))*-1)). 8*sqrt(3)/45 Simplify (((sqrt(2448) - (sqrt(2448) + 0)) + sqrt(2448) + 2 + sqrt(2448) + sqrt(2448))**2 + (sqrt(2448) - ((sqrt(2448)*-4)**2 + sqrt(2448))*6))*-1*6. -504*sqrt(17) + 1277832 Simplify (5 + -1*2*(3 + (sqrt(1008) - (sqrt(1008) + 1*sqrt(1008))*2))*-2)**2. -4896*sqrt(7) + 145441 Simplify 0 + (1*sqrt(156)*-4)/(sqrt(48)/(2*sqrt(4))) + 4*((2 + sqrt(208))**2 - sqrt(208)). 40*sqrt(13) + 848 Simplify (5*(sqrt(28) - (sqrt(112) + sqrt(28) + sqrt(28)))*6*1)/((2*sqrt(1600))/(sqrt(324) + sqrt(324)*2 - sqrt(324))). -81*sqrt(7) Simplify (1*(sqrt(76)*-5)/sqrt(4) + -2 + (-4 + sqrt(1900) + 5*sqrt(1900))*4)**2 + 4. -8460*sqrt(19) + 1049603 Simplify sqrt(432) + 1 + (sqrt(3) - (sqrt(21) - sqrt(21)*-2)/sqrt(7))**2 + -4*(-5 + sqrt(12)/sqrt(4))**2 + ((2*sqrt(972))/sqrt(9))**2 + -5 + 2. 52*sqrt(3) + 330 Simplify (1 + (0 + sqrt(567) - sqrt(567)))**2*6 + -2*sqrt(252)*3. -36*sqrt(7) + 6 Simplify sqrt(56)/(sqrt(8)*-1) + 6*(-2 + sqrt(7)) - (2*(0 + (sqrt(847) - (-3 + sqrt(847))) - sqrt(847)))**2. -3436 + 269*sqrt(7) Simplify 2 + (-4*(sqrt(68) + 1*sqrt(68)) + -1*sqrt(68)*-2)/((sqrt(108)/(sqrt(72)/sqrt(8)))/sqrt(3)). -6*sqrt(17) + 2 Simplify -3*(6*((sqrt(2268) + sqrt(2268) + 1)*3 + -6*sqrt(2268)*1))**2. -972 Simplify (-4 + (sqrt(108) - sqrt(108)*-2*1) + 2 + sqrt(108) + 0 + sqrt(108) + -5*-6*(-2*sqrt(108) - sqrt(108)))**2. 2040*sqrt(3) + 780304 Simplify 4 + sqrt(180) + 2 + -3 + 5 - (-1*2*sqrt(80) + 5 + -3 + sqrt(80))**2. -76 + 22*sqrt(5) Simplify ((sqrt(152) - -6*(-1*sqrt(152) + sqrt(152) - sqrt(152)))/(sqrt(72)/sqrt(144)) - 3*2*sqrt(475)*-4)**2. 190000 Simplify (sqrt(3159)*1 + sqrt(3159))/(6*sqrt(3)*-4) + ((sqrt(3146)*2)/sqrt(162))**2*-4. -25168/81 - 3*sqrt(13)/4 Simplify (4*(
{ "pile_set_name": "DM Mathematics" }
y such that -4*y**5/3 + 12*y**4 - 36*y**3 + 124*y**2/3 - 16*y = 0. 0, 1, 3, 4 What is c in -2*c**3/5 - 8*c**2/5 = 0? -4, 0 Determine l, given that -3*l**5 + 162*l**4 - 2187*l**3 = 0. 0, 27 Suppose -5*z**5/2 - 4755*z**4 - 3009905*z**3 - 631056650*z**2 + 3828621375*z/2 - 1280239375 = 0. What is z? -635, 1, 2 Factor 2*g**3/13 - 116*g**2/13 - 238*g/13 - 120/13. 2*(g - 60)*(g + 1)**2/13 Let 2*k**3/13 - 68*k**2/13 + 448*k/13 - 64 = 0. What is k? 4, 26 Determine y, given that 21*y**5 - 134*y**4 + 23*y**3 + 158*y**2 - 44*y - 24 = 0. -1, -2/7, 2/3, 1, 6 Factor -3*d**3 + 1611*d**2 - 6408*d + 6396. -3*(d - 533)*(d - 2)**2 Let r**5/2 + 9*r**4 + 40*r**3 - 9*r**2 - 81*r/2 = 0. What is r? -9, -1, 0, 1 Let s**2/6 + 124*s/3 - 250/3 = 0. What is s? -250, 2 Factor -2*n**3 + 87*n**2 - 826*n - 435. -(n - 29)*(n - 15)*(2*n + 1) Factor -5*x**4 + 150*x**3 - 665*x**2 + 1020*x - 500. -5*(x - 25)*(x - 2)**2*(x - 1) Factor -2*v**4 - 12*v**3 - 10*v**2 + 24*v. -2*v*(v - 1)*(v + 3)*(v + 4) Factor f**3/5 - 38*f**2/5. f**2*(f - 38)/5 Find v, given that -2*v**2 + 40*v = 0. 0, 20 Find g, given that -4*g**4 + 76*g**3 + 640*g**2 - 13312*g = 0. -13, 0, 16 What is t in -3*t**5/8 + 7*t**4/8 + t**3/8 - 7*t**2/8 + t/4 = 0? -1, 0, 1/3, 1, 2 Factor -51*h**3/5 - 149*h**2/5 + 216*h/5 - 16/5. -(h - 1)*(h + 4)*(51*h - 4)/5 Let -g**5 - 8*g**4 - 12*g**3 = 0. What is g? -6, -2, 0 Let -3*q**4/4 + 45*q**3 + 759*q**2/4 + 144*q = 0. Calculate q. -3, -1, 0, 64 Solve 10*p**3 + 1164*p**2 + 34104*p + 13456 = 0 for p. -58, -2/5 Factor -2*p**3/5 - 354*p**2/5 - 20886*p/5 - 410758/5. -2*(p + 59)**3/5 Factor 19*o**3/2 - 1025*o**2 + 27594*o + 2916. (o - 54)**2*(19*o + 2)/2 Factor -r**3/4 - 777*r**2/4 + 1169*r/2 - 390. -(r - 2)*(r - 1)*(r + 780)/4 Factor -4*w**2 + 32*w + 2240. -4*(w - 28)*(w + 20) Factor 5*m**3/3 + 5*m**2/3 - 5*m/3 - 5/3. 5*(m - 1)*(m + 1)**2/3 Factor 3*k**4 + 558*k**3 + 25947*k**2. 3*k**2*(k + 93)**2 Let -2*o**4/5 + 6*o**3/5 - 2*o**2/5 - 6*o/5 + 4/5 = 0. Calculate o. -1, 1, 2 Determine z so that z**5/2 - 1193*z**4/6 + 58600*z**3/3 + 46666*z**2 + 800*z/3 - 80000/3 = 0. -2, -1, 2/3, 200 Find f such that -3*f**4/5 + 6*f**3 + 249*f**2/5 - 324*f/5 - 108 = 0. -6, -1, 2, 15 Factor -4*n**3/3 - 1464*n**2 + 8800*n/3. -4*n*(n - 2)*(n + 1100)/3 Factor 2*n**4/7 + 16*n**3/7 - 38*n**2/7 + 20*n/7. 2*n*(n - 1)**2*(n + 10)/7 Let -4*l**3/9 - 536*l**2/9 - 17956*l/9 = 0. What is l? -67, 0 Suppose 2*s**5 - 14086*s**4 + 33078620*s**3 - 25922586836*s**2 + 51745994146*s - 25856471846 = 0. What is s? 1, 2347 Factor a**4 - 82*a**3 - 340*a**2 - 344*a. a*(a - 86)*(a + 2)**2 Find t, given that 4*t**4 + 52*t**3 - 192*t**2 + 16*t + 256 = 0. -16, -1, 2 Factor -27*l**2/8 + 213*l/4 - 84. -3*(l - 14)*(9*l - 16)/8 What is c in -2*c**5 + 10*c**4 + 108*c**3 - 364*c**2 + 374*c - 126 = 0? -7, 1, 9 Factor 3*i**2 + 42*i - 153. 3*(i - 3)*(i + 17) Let -4*f**3 - 124*f**2 + 260*f - 132 = 0. Calculate f. -33, 1 Solve -18*r**4 + 328*r**3 - 378*r**2 + 68*r = 0. 0, 2/9, 1, 17 Factor -4*w**3 - 52*w**2 + 420*w - 684. -4*(w - 3)**2*(w + 19) Determine z so that 4*z**3/5 + 72*z**2 + 7728*z/5 - 16928/5 = 0. -46, 2 Find t, given that -5*t**4 - 15*t**3 - 15*t**2 - 5*t = 0. -1, 0 Suppose 28*r**5 + 468*r**4 - 668*r**3 - 324*r**2 + 640*r - 144 = 0. What is r? -18, -1, 2/7, 1 Factor -2*r**2/5 + 268*r/5 - 8978/5. -2*(r - 67)**2/5 Let -3*v**3/5 - 57*v**2/5 - 21*v - 51/5 = 0. What is v? -17, -1 Factor -28*l**2 + 2220*l - 2192. -4*(l - 1)*(7*l - 548) Solve 2*n**2/7 - 8840*n/7 + 9768200/7 = 0. 2210 Find q, given that 6*q**5 + 200*q**4 - 582*q**3 - 41688*q**2 + 110592*q + 41472 = 0. -24, -1/3, 3, 12 Factor -3*n**3 + 177*n**2 - 168*n - 348. -3*(n - 58)*(n - 2)*(n + 1) Factor -3*u**2 - 21*u - 36. -3*(u + 3)*(u + 4) Find m, given that -2*m**2 + 450*m - 892 = 0. 2, 223 Let -2*u**2/11 + 4*u + 336/11 = 0. What is u? -6, 28 Find z such that -2*z**5/5 + 14*z**3/5 - 4*z**2/5 - 24*z/5 + 16/5 = 0. -2, 1, 2 Solve -3*f**4 - 6798*f**3 - 3851067*f**2 = 0. -1133, 0 Factor l**4/2 + 39*l**3/2 - 106*l**2 + 174*l - 88. (l - 2)**2*(l - 1)*(l + 44)/2 Factor -4*j**3 + 48*j**2 - 80*j. -4*j*(j - 10)*(j - 2) Solve 5*p**3 - 500*p**2 + 12985*p - 24010 = 0 for p. 2, 49 Factor 2*o**3/5 + 8*o**2/5 - 56*o/5 + 64/5. 2*(o - 2)**2*(o + 8)/5 Determine m, given that 35*m**5 - 410*m**4 - 2815*m**3 - 5390*m**2 - 3700*m - 680 = 0. -2, -1, -2/7, 17 What is z in -3*z**2/4 + 4215*z - 5922075 = 0? 2810 Let 3*j**2/5 + 450*j - 6777/5 = 0. Calculate j. -753, 3 Solve 2*d**4 + 106*d**3 + 1938*d**2 + 13294*d + 19652 = 0. -17, -2 Factor -c**2 + 6*c - 9. -(c - 3)**2 Determine c so that 2*c**3/5 + 2*c**2/3 + 4*c/15 = 0. -1, -2/3, 0 Let b**5/2 + 23*b**4/4 + 95*b**3/4 + 85*b**2/2 + 32*b + 8 = 0. Calculate b. -4, -2, -1, -1/2 Find x, given that -6*x**4 - 43*x**3 + 161*x**2 - 92*x - 20 = 0. -10, -1/6, 1, 2 Factor 55*v**2 - 80*v - 60. 5*(v - 2)*(11*v + 6) What is q in 3*q**2 + 594*q + 29403 = 0? -99 Determine h so that 2*h**4/7 - 18*h**3/7 - 2*h**2/7 + 18*h/7 = 0. -1, 0, 1, 9 Let -7*n**5/2 - 141*n**4/4 - 34*n**3 - 9*n**2/4 = 0. Calculate n. -9, -1, -1/14, 0 Factor -4*k**2 - 172*k + 752. -4*(k - 4)*(k + 47) Factor 18*m**2/7 + 11496*m/7 + 1835528/7. 2*(3*m + 958)**2/7 Factor -3*x**5/2 - 42*x**4 - 117*x**3 - 114*x**2 - 75*x/2. -3*x*(x + 1)**3*(x + 25)/2 Let -2*y**5 + 12*y**4 + 38*y**3 - 32*y**2 - 120*y - 64 = 0. What is y? -2, -1, 2, 8 Factor 2*d**4 + 1086*d**3 - 4368*d**2 + 4376*d. 2*d*(d - 2)**2*(d + 547) Let 2*q**5/11 + 324*q**4/11 + 12794*q**3/11 - 26568*q**2/11 + 13448*q/11 = 0. What is q? -82, 0, 1 Determine q, given that 4*q**3/5 - 112*q**2/5 - 236*q/5 - 24 = 0. -1, 30 Factor 4*u**3 - 36*u**2 + 24*u + 64. 4*(u - 8)*(u - 2)*(u + 1) Factor 2*d**3/5 - 126*d**2/5 + 24*d + 248/5. 2*(d - 62)*(d - 2)*(d + 1)/5 Suppose -t**4/5 - 7*t**3/5 - 3*t**2/5 + 31*t/5 - 4 = 0. What is t? -5, -4, 1 Find x such that -5*x**4/4 - 15435*x**3/4 - 15882615*x**2/4 - 5447736945*x/4 = 0. -1029, 0 Factor -2*k**2/7 - 904*k/7. -2*k*(k + 452)/7 Find j such that 4*j**5 - 28*j**4 - 164*j**3 - 148*j**2 + 160*j + 176 = 0. -2, -1, 1, 11 Determine j so that 4*j**4 - 32*j**3 + 68*j**2 - 40*j = 0. 0, 1, 2, 5 Suppose -3*t**3/4 + 93*t**2/2 + 381*t/4 + 48 = 0. What is t? -1, 64 What is v in 5*v**5 + 30*v**4 + 30*v**3 - 100*v**2 - 195*v - 90 = 0? -3, -1, 2 Suppose -4*k**5 - 12*k**4 + 32*k**3 + 96*k**2 - 64*k - 192 = 0. Calculate k. -3, -2, 2 Suppose -4*i**2 + 160*i - 1600 = 0. Calculate i. 20 Find f, given that 3*f**2 + 333*f + 330 = 0. -110, -1 Let -375*j**5 + 3150*j**4 + 38235*j**3 - 16254*j**2 - 6108*j + 2520 = 0. Calculate j. -7, -2/5, 2/5, 15 Solve -t**4/4 - 9*t**3/4 - 9*t**2/2 + 8*t + 24 = 0. -4, -3, 2 Factor -4*a**3 - 648*a**2 - 21120*a + 433664. -4*(a - 14)*(a + 88)**2 Factor -m**4/4 + 11*m**3/4 + 33*m**2/4 - 707*m/4 + 490. -(m - 7)**2*(m - 5)*(m + 8)/4 Factor -2*u**4 + 2034*u**3 + 8160*u**2 + 8168*u. -2*u*(u - 1021)*(u + 2)**2 Factor -2*y**4 - 12*y**3 + 144*y**2. -2*y**2*(y - 6)*(y + 12) Suppose 2*d**4 - 24*d**3 + 54*d**2 + 8*d - 72 = 0. Calculate d. -1, 2, 9 Let 2*j**3/9 - 178*j**2/9 + 5200*j/9 - 50024/9 = 0. What is j? 26, 37 Factor -y**3/5 - 19*y**2 - 2303*y/5 - 2209/5. -(y + 1)*(y + 47)**2/5 Determine c so that -10*c**4 + 115*c**3 - 365*c**2 + 365*c - 105 = 0. 1/2, 1, 3, 7 Factor r**4/5 + 32*r**3/5 + 286*r**2/5 + 96*r + 45. (r + 1)**2*(r + 15)**2/5 Factor -i**5 - 7*i**4 - 10*i**3. -i**3*(i + 2)*(i + 5) Determine j so that j**5/2 - 16*j**4 + 217*j**3/2 + 285*j**2 = 0. -2, 0, 15, 19 Solve -20*h**3 - 36*h**2 + 8*h = 0. -2, 0, 1/5 Solve 15*s**5 + 369*s**4 + 2910*s**3 + 7476*s**2 + 2520*s - 2400 = 0. -10, -4, -1, 2/5 Determine i, given that 2*i**3/15 - 116*i**2/3 + 8410*i/3 = 0. 0, 145 Suppose -2*h**5/15 - 86*h**4/15 - 1406*h**3/15 - 10562*h**2/15 - 6688*h/3 - 4840/3 = 0. Calculate h. -11, -10, -1 Suppose -882*g**3/11 - 51492*g**2/11 - 19520*g/11 - 1856/11 = 0. What is g? -58, -4/21 Determine g so that 2*g**3/15 + 32*g**2/15 - 66*g/5 + 84/5 = 0. -21, 2, 3 Factor -a**4/8 - 77*a**3/4 - 2139*a**2/2 - 24863*a - 194672. -(a + 16)*(a + 46)**3/8 Factor -2*a**3/7 - 18*a**2/7 - 22*a/7 + 6. -2*(a - 1)*(a + 3)*(a + 7)/7 Let 1545*n**2 - 339*n + 6 = 0. What is n? 2/103, 1/5 Factor y**3/2 + 14*y**2 + 221*y/2 + 169. (y + 2)*(y + 13)**2/2 Determine j, given that 3*j**3/4 - 3*j**2/2 - 159*j/4 - 135/2 = 0. -5, -2, 9 Find v such that -5*v**2/12 - 31*v/2 + 191/
{ "pile_set_name": "DM Mathematics" }
-480*y**3 - y**2 - 5*y - 4. Suppose -3*b = -3*g + 15, 0 = 2*g - 5 - 3. Is 32 a factor of w(b)? True Suppose -41*i - 4*u = -40*i - 679, -u = -2. Does 7 divide i? False Let o = 246 + -239. Suppose o*m = 20*m - 442. Does 2 divide m? True Does 44 divide 3/((-54220)/(-3872) + -14)? True Let s(g) = 51*g**2 + g - 6. Is 20 a factor of s(9)? False Suppose 0 = -z - 4*u + 796, 2344 + 134 = 3*z + 2*u. Is z a multiple of 9? False Let z(v) = v**2 - 2*v - 93. Let q be z(0). Suppose -85 = 5*n - 65. Is (q/(-3) - n) + 2 a multiple of 5? False Let d = 134 + 144. Suppose 0 = -k + d + 100. Does 9 divide k? True Suppose -4922*q = -5047*q + 2903625. Is q a multiple of 42? False Suppose 0 = 4*d - 8*d - 2*n + 2910, n = -4*d + 2915. Is 42 a factor of d? False Let a(p) = 10*p**2 - 2*p. Let b(f) = -10*f**2 + 3*f - 2. Let q(u) = 3*a(u) + 2*b(u). Let k(o) = -o + 12. Let g be k(10). Is 6 a factor of q(g)? True Let j = -4737 - -7006. Is j a multiple of 145? False Let x = 55 + -327. Let c = x - -499. Is 3 a factor of c? False Let v(z) = -z**3 + 8*z**2 - 6*z + 4. Let g be v(4). Suppose 19440 = 45*w - 0*w. Suppose -g*b + 41*b = -w. Does 48 divide b? True Suppose 18*v - 236461 - 74579 = 0. Is 45 a factor of v? True Suppose h + 4*x = 3187 + 10790, 0 = 5*x - 35. Does 37 divide h? True Let x = 23883 - 19125. Is x a multiple of 4? False Suppose g + 1560 = 4*h + 13120, -5*g - 4*h + 57680 = 0. Is g a multiple of 20? True Suppose -13*n - 118*n = -507396 - 6886637. Does 32 divide n? False Let i(v) = -82*v - 100. Let z(a) = -a**3 - 6*a**2 + 27*a - 9. Let b be z(-9). Is 22 a factor of i(b)? True Let j be (1 + -4 + 4)/(2/(-14)). Let o be (36/6)/(j/(-2) + -2). Suppose 0 = -3*b - o*g + 22, -g - g = -2*b + 24. Is 6 a factor of b? False Let t = -103 + 106. Suppose 5*u = 0, -y = -2*y + t*u + 185. Let n = y - 53. Does 33 divide n? True Let k(z) = z**3 + 11*z**2 + 13*z - 23. Let a be k(-7). Suppose 3*w + 40 - a = 0. Is 2 a factor of w? True Let m(l) = 6*l**3 - l**2 - 9*l + 5. Let n be m(3). Let s = n - -253. Does 48 divide s? True Let i(p) = 147*p - 3406. Is i(93) a multiple of 93? False Suppose 25*v = -77395 + 134774 + 490996. Does 59 divide v? False Let k(p) = p**3 - 4*p**2 - 6*p + 9. Let m be k(4). Let f be m*((-1 - 0) + 0). Suppose -f = 3*w - 0*w, -3*w + 495 = 5*o. Is 34 a factor of o? True Let s be (-1582)/4 + (12 - (-81)/(-6)). Let t = -361 - s. Is t a multiple of 2? True Suppose -2*g + 3342 = -2*l + 408, -5*l + 25 = 0. Is 16 a factor of g? True Suppose 0 = -3*j + 3*i + 2196, 3*j + i - 2231 = -3*i. Does 11 divide j? True Let x = -130 - -138. Suppose x*k - 3*w - 28 = 4*k, 0 = 3*k - 5*w - 32. Is (-173)/((-1)/(k*(-1)/(-4))) a multiple of 12? False Let k be (455/(-4))/((-4)/(-16)). Let d = -443 - k. Does 5 divide d? False Let o = -8469 + 10941. Is 153 a factor of o? False Let s = -292 + 297. Suppose s*h = 1073 - 88. Is h even? False Suppose f = -l + 6, 4*f - 2*l - 18 = -0*l. Suppose 3*d + 3*k + 96 = 1764, -1147 = -2*d + f*k. Does 17 divide d? True Let a(y) = -9*y**2 - 598*y - 254. Does 11 divide a(-54)? False Let c(t) = -t**3 - t**2 - 2*t - 6. Let a(j) = -2*j**2 + 1. Let d(k) = -2*a(k) - c(k). Is d(-4) a multiple of 3? True Is (-25 - (-26 + 2)) + -579*51/(-1) a multiple of 24? False Suppose -3*m = 4741 + 2030. Let s = -1612 - m. Suppose s = 26*f - 23*f. Does 63 divide f? False Let k(f) = -f**2 + 4*f + 14. Let l = 109 - 103. Let w be k(l). Suppose b - 4*j - 43 - 45 = 0, 5*b - 476 = w*j. Does 48 divide b? True Suppose 5*s = -2*v + 6734, -19*s - 13490 = -4*v - 18*s. Suppose 0 = -9*w + v - 249. Is 4 a factor of w? False Let v(x) = -x**2 + 12*x - 12. Let o be v(7). Suppose -2*i = -8, -2*g = -3*g - 2*i + o. Let z = g - 2. Is z a multiple of 3? False Let f = 1310 + 2860. Is 10 a factor of f? True Let d = 111456 + -79237. Does 13 divide d? False Let o(u) = 18*u**2 + 60*u + 72. Does 20 divide o(-26)? True Suppose -11*a = 6547 - 156. Let n = a + 2068. Is 46 a factor of n? False Let a = -128 + 168. Does 13 divide -1 + (3/15 - (-8912)/a)? False Suppose 3*q + 2 = 2*n, 11 + 7 = -q + 5*n. Suppose 4*f + 48 = 9*c - 5*c, -c - q*f = 3. Is 7 a factor of c? True Suppose 4*q + 102 + 1098 = -a, -2*q - 582 = -4*a. Let d = 503 - q. Is d a multiple of 32? False Let p(d) = d**3 + 16*d**2 + 17*d + 20. Is 3 a factor of p(-11)? True Is 5 a factor of ((-12)/10)/((-54)/(-135)) + (-15363)/(-1)? True Let l(k) = 9*k + k - k**2 - 2*k - 4*k + 39 + 2*k**2. Is l(17) a multiple of 6? True Let q(w) = -w**2 + 6*w - 5. Let u be q(4). Let k be 0 - (19 - (u + -3)). Let x = 31 + k. Is x a multiple of 12? True Let b(d) = d**2 - 44*d + 38. Let u be b(47). Let i = 230 + u. Is 8 a factor of i? False Suppose -172*g - 102980 = -182*g. Does 19 divide g? True Suppose -30 = f + 5*g - 144, -4*f + 3*g = -571. Suppose 0 = 8*i - f - 1781. Does 24 divide i? True Let u(z) be the first derivative of -z**2/2 - 3*z - 40. Let f be u(-5). Suppose -206 = 4*a + 3*w - 589, f*w = a - 104. Is a a multiple of 19? False Let f = 7649 + 3997. Is f a multiple of 20? False Suppose 99*b = 108*b - 84249. Is 13 a factor of b? False Suppose 3*r - 8 = 2*w, 4*r = 4*w - 3*w + 9. Let p(v) = v**2 - 5*v + 2. Let l be p(r). Is 6 a factor of (24 - -3)*l/(-6)? True Suppose 5*r + p = -2*p + 72, 8 = -r + 5*p. Let t(y) = -r + 0 + 0*y - 5*y. Is 7 a factor of t(-4)? False Let y(r) be the third derivative of -8/3*r**3 + 1/60*r**5 + 0*r + 0*r**4 - 18*r**2 + 0. Is y(-10) a multiple of 28? True Let a be (165/(-44) - (-3 - -1))*8. Let w(h) = 81*h + 60. Let q(s) = -23*s - 17. Let g(r) = 18*q(r) + 5*w(r). Is 11 a factor of g(a)? False Let d = 486 + 278. Let q = d + -374. Is 8 a factor of q? False Suppose -20 + 6 = -2*j. Suppose 0 = 8*v + j*v - 2340. Is v a multiple of 39? True Suppose -76*v + 17*v + 200836 = 0. Is 46 a factor of v? True Let c(x) = x**3 + 105*x**2 + 342*x + 310. Is c(-97) a multiple of 24? True Let d(x) = 6810 - 13*x - 6823 - 9*x + 6*x. Let f(g) = -2*g - 3. Let s be f(6). Is 16 a factor of d(s)? False Let k(r) = 9*r**2 + 68*r - 47. Is k(-25) a multiple of 7? True Let x = 25443 + -24293. Does 5 divide x? True Let j(m) be the first derivative of 2*m**3/3 + m**2/2 - m - 9. Let r be j(-2). Suppose 4*d = -3*a + 68, -5*a - r*d + 67 = -2*a. Is 8 a factor of a? True Let j = 15 - -1. Let v be (-1)/(-1 + j/20). Suppose -v*p = -5*t + 200, -4*p - 21 = 3*t - 148. Is t a multiple of 23? False Let v = -1518 - -1526. Is 2 a factor of v? True Let v = 15453 + 4031. Does 11 divide v? False Let z(a) = 6*a**2 - 244*a + 196. Does 192 divide z(-42)? False Let c = 1762 + -1070. Suppose 0*r - c = -2*g + 4*r, 0 = -g + r + 349. Is g a multiple of 39? False Suppose -5*a + 2*p = -52, 33 = 3*a + 3*p - 6*p. Is 8 a factor of (27 - 3)*-1*a/(-15)? True Suppose -111*h + 110*h = 3*m - 15300, 3*m + 61275 = 4*h. Does 15 divide h? True Let m(r) = -2*r + 4. Let u(i) = 2*i - 6. Let a(s) = 6*m(s) + 5*u(s). Let t be a(-5). Suppose 3*g - 9 = 0, 0*w + w - t*g = 151. Does 21 divide w? False Let q be 4 - (3 - 3) - -1. Suppose -210 = -4*t - q*r, 2*t - 3*r = -5*r + 106. Is 17 a factor of t? False Let x(a) = -a**3 + 8*a**2 + 2*a - 59. Let s be x(7). Is 5 a factor of -6*(-1 - (s/(-6) + 3))? True Let a = -197 - -206. Suppose 11*n - a*n - 270 = 0. Is n a multiple of 22? False Suppose 0 = -5*q + 5*g - 265, -g = -0*q - 2*q - 109. Let p = q - -265. Does 19 divide p? True Let x = -170 - -620. Suppose x = 6*j - 90. Does 11 divide j? False Suppose -2*q + 212 = 50. Let m = q + 148. Suppose 2*n - 2*c = -37 + m, n - 3*c = 90. Is n a multiple of 9? True Let m be 12/(-9)*(-6 + -33). Suppose 42*g = m*g - 3500. Is g a multiple of 50? True Let n be 1 + (1 - -2 - -134). Suppose -855 + 277 = -4*c + 5*o, 0 = -c - 2*o + n. Does 22 divide c? False Is 38 a factor of -8 + (-479916)/(-126) - (-6)/(-7)? True Let k(d) = 74*d + 8. Let i be (-3 - -4)*-5*(-8)/10. Suppose -4*p - m + 3 = -3*p, 10 = i*p + 2*m. Is 41 a factor of k(p)? False Suppose 12654 = 10*c - 0*c - c. Does 19 divide c? True Let i(v) = -25 + 6*v**2 + 6*v**2 - 25 - 28 - 16*v. Is 18 a factor of i(-7)? False Suppose -5*i + 25 = 0, -6 = -d + 3*i - 13. Suppose -7*n + d*n - 32 = 2*f, -3*n + 114 = 3*f. Is 7 a factor of n? False Let t = 915 + -1070. Suppose 0 = 3*m - 508 - 269. Let n = m + t. Is n a multiple of 26? True Let s = -10480 - -17971. Is 11 a factor of s? True Does 282 divide (4 - -4
{ "pile_set_name": "DM Mathematics" }
- 6*z**2 + x*z**5 - 6*z**2 + 18*z**5 wrt z? 1080*z**2 Let r = 18 + -15. What is the second derivative of 0*t + 6*t + r + 8*t**3 - 3 wrt t? 48*t Let b(g) be the second derivative of 11*g**7/6 + 9*g**3 - 65*g. Find the second derivative of b(h) wrt h. 1540*h**3 What is the second derivative of -189*j + 20 - 11 + 53*j**3 + 20 + j**4 + 191*j wrt j? 12*j**2 + 318*j Let z(k) be the third derivative of 11*k**9/252 - k**8/336 - 9*k**5/5 - 45*k**2. What is the third derivative of z(n) wrt n? 2640*n**3 - 60*n**2 Let t be (-2)/1*1/1. Let k be (t + -4)/(-2*1). What is the derivative of k*y**2 - 4 + 0*y + 0*y wrt y? 6*y What is the third derivative of -13*x + 77*x**2 + 6*x - 40*x**5 + 7*x wrt x? -2400*x**2 Let n(p) = -p**6 - 21*p**4 + 3*p**3 - 4*p**2 - 9*p. Let t(g) = -g**6 + g**3 - g**2. Let x(h) = n(h) - 3*t(h). Find the third derivative of x(m) wrt m. 240*m**3 - 504*m Find the first derivative of -830*b + 830*b + 427*b**2 - 495 wrt b. 854*b Suppose -3*w = w - 8. Suppose -w = l - 8. Let d(i) = 8*i - 9. Let j(v) = -4*v + 4. Let h(z) = l*d(z) + 13*j(z). What is the derivative of h(y) wrt y? -4 Suppose -5*h + h = -72. Let p = -17 + h. Let n(u) = -10*u**2 + u + 1. Let b(v) = v. Let s(c) = p*n(c) - b(c). Differentiate s(z) with respect to z. -20*z Let q(v) = 5*v + 23. Let m(l) = 26*l + 116. Let g(h) = 3*m(h) - 14*q(h). Let s(a) = -8*a - 25. Let j(y) = 6*g(y) + 5*s(y). Differentiate j(n) with respect to n. 8 Let t(n) be the first derivative of -103*n**3/3 + 13*n**2 + 67. What is the second derivative of t(j) wrt j? -206 Let b be 3 + -4 + 2 - -1. Differentiate -b*g - 2*g + 9*g**3 + 4*g + 5 wrt g. 27*g**2 Suppose 2*l + 64 = 6*l. What is the second derivative of -l*u + 7*u**4 + 4*u**4 - 2*u**4 - 2*u**4 wrt u? 84*u**2 Let d(j) = j**2 + 2*j. Let l(m) = -86*m**2 - 4*m + 17. Let z(h) = 2*d(h) + l(h). What is the first derivative of z(x) wrt x? -168*x Let y(f) be the first derivative of 92*f**5/5 + 79*f**2 - 111. What is the second derivative of y(h) wrt h? 1104*h**2 Let w = 0 + 17. Suppose -13 + w = u. What is the derivative of 6 + 4 - 2 + 4*j**u + j**4 wrt j? 20*j**3 Suppose -3*x - 6 = 3*m, m = 3*m + x - 1. Suppose -9 = -3*j, 4*p + j + m - 18 = 0. What is the first derivative of 5*r**p - 6*r**3 + 2*r**3 + 3 - 11*r**3 wrt r? -30*r**2 Let s(f) be the first derivative of 0*f**4 + 0*f**2 + 0*f**6 + 4/3*f**3 + 7 + 0*f**5 + 0*f + 3/7*f**7. Find the third derivative of s(t) wrt t. 360*t**3 Let z be (-7 - -5) + (-4)/(-2). Suppose z = -0*x + x. What is the first derivative of -1 + x*q**3 - 4*q**3 - 3 - 2*q**3 wrt q? -18*q**2 Let f be 0 + (-4)/(-2) - -2. Let i(d) be the first derivative of 6 + f*d - 1 - 4*d**3 + 6*d**3. What is the derivative of i(g) wrt g? 12*g Let c(s) be the first derivative of 29*s**4 + 3*s**2/2 + 6*s + 57. Find the second derivative of c(p) wrt p. 696*p Find the first derivative of -233 + 539*l + 38 + 3*l**4 - 535*l wrt l. 12*l**3 + 4 What is the third derivative of -3*q**2 + 84*q**4 - 85*q**4 - 7 - 73*q**6 - 65*q**6 - 4 wrt q? -16560*q**3 - 24*q Let w(f) be the second derivative of 79*f**7/14 + f**3/3 - 25*f**2/2 + 20*f - 4. Find the second derivative of w(i) wrt i. 4740*i**3 Suppose x + 2 = 2*x. Let f be (1 + x - 5) + 7. Find the second derivative of 4*k + f*k**5 - 3*k**5 + k**5 - 2*k**5 wrt k. 20*k**3 Let d(r) = 208*r**3 + 2*r**2 - r. Let t be d(1). Let h be ((-24)/(-16))/((-6)/(-20)). Find the second derivative of -t + 209 + h*l**4 + l wrt l. 60*l**2 Let n = -15 + 19. Let f be (-6)/n*(-8)/6. What is the third derivative of 4*l**6 - l**2 + l**f - l**2 wrt l? 480*l**3 Let l(j) be the third derivative of -j**9/504 + j**7/210 - 26*j**5/15 + 169*j**2. What is the third derivative of l(m) wrt m? -120*m**3 + 24*m Let a = -4 + -6. Let n be 28/15 + a/(-75). Find the second derivative of -4*s + 0*s**n - s**2 + 4*s**2 + 2*s**2 wrt s. 10 What is the second derivative of 106*c**3 + 3458*c + 308*c**3 + 8 + 0 - 3414*c wrt c? 2484*c Let k(f) be the third derivative of 0*f**6 + 0*f**3 + 0*f**5 + 0*f**7 + 0 + 1/6*f**4 - 1/168*f**8 + 0*f - 10*f**2. Find the second derivative of k(o) wrt o. -40*o**3 Let j(u) be the first derivative of u**5/5 + 65*u**4/4 - 41*u - 227. Find the first derivative of j(l) wrt l. 4*l**3 + 195*l**2 Let m(p) be the first derivative of -7/3*p**6 + 0*p**5 + p**3 - 20 + 0*p**4 + 0*p**2 + 0*p. Find the third derivative of m(d) wrt d. -840*d**2 Let a(t) be the third derivative of 0*t + 6*t**2 + 0*t**5 + 1/6*t**4 + 0 + 0*t**3 - 1/120*t**6. What is the second derivative of a(r) wrt r? -6*r Differentiate 12*f**2 + 14*f**2 + 165*f**2 - 3*f**2 - 165 + 7 wrt f. 376*f Let d(n) = -80*n**3 - 6*n**2 - 213. Let q(b) = -80*b**3 - 7*b**2 - 212. Let j(r) = -7*d(r) + 6*q(r). Differentiate j(h) wrt h. 240*h**2 Let d(j) be the third derivative of 0*j**5 + 0*j - 36*j**2 + 0*j**3 + 0 - 5/24*j**4 + 0*j**6 + 1/21*j**7. Find the second derivative of d(y) wrt y. 120*y**2 Let x(q) be the second derivative of -97*q**5/4 - q**4/12 + 181*q**2 - 334*q. Find the third derivative of x(a) wrt a. -2910 Let q(x) be the second derivative of -21*x**6/10 - 39*x**2 - 7*x. What is the first derivative of q(m) wrt m? -252*m**3 Let t(x) be the third derivative of 137*x**6/60 + x**5/15 - 11*x**3/2 - 5*x**2 + 8. Find the third derivative of t(v) wrt v. 1644 Let w(n) be the third derivative of -17/210*n**7 + 0 + 0*n**6 + 0*n**3 + 25/24*n**4 + 0*n**5 + 0*n + 24*n**2. What is the second derivative of w(h) wrt h? -204*h**2 Let k(m) be the third derivative of 12*m**2 + 0 + 1/2*m**4 - 1/6*m**3 + 0*m. Differentiate k(s) with respect to s. 12 Let w be (-8)/(-48) + 34/12. Suppose -g + 0*g = 2*d - 5, -5*d - w*g + 13 = 0. What is the second derivative of -6*b**2 - 2*b**2 + d*b + 6*b + b**2 wrt b? -14 Suppose 0 = 5*j + o - 33, 2*j - 24 = -j - 2*o. Let g be j/(-8)*(-2 + -2). Differentiate -19*h + g - 23*h + 35*h with respect to h. -7 What is the third derivative of 4*l**2 + 107*l**4 + 45*l**2 - 60*l**4 - 175*l**5 - 47*l**4 wrt l? -10500*l**2 Let f = -2 + 10. Find the third derivative of -30*s**5 - 12*s**3 + f*s**3 + 4*s**3 - 28*s**2 wrt s. -1800*s**2 Let l(s) be the first derivative of 74*s**7/7 + 290*s**3/3 + 250. What is the third derivative of l(z) wrt z? 8880*z**3 Suppose 5*y - 11 = 99. What is the third derivative of 18*z**2 - y*z**2 - 36*z**6 + 13*z**6 wrt z? -2760*z**3 Let w be (1 - -1)/(-8 - -9). Suppose -2*k - 4*g + 20 = 0, 3 = w*k - 3*g + 4. Find the second derivative of 7*p**4 - 24*p**k - 5*p + 7*p**4 wrt p. -120*p**2 Let f(d) be the first derivative of 4*d**6/5 - 13*d**2/2 - 9*d - 2. Let z(u) be the first derivative of f(u). Differentiate z(i) wrt i. 96*i**3 Let p(d) be the third derivative of 0*d**3 - 9*d**2 - 5/168*d**8 + 0*d**6 + 1/60*d**5 + 0 + 0*d**4 + 0*d + 0*d**7. Find the third derivative of p(y) wrt y. -600*y**2 What is the third derivative of 49*c**3 + 47*c - 168*c**3 - 17*c - 13*c - 3*c**2 wrt c? -714 Let u(s) be the third derivative of -s**6/72 - s**5/40 + s**4/8 - 11*s**2. Let p(a) be the second derivative of u(a). Differentiate p(b) wrt b. -10 Let t(o) be the second derivative of -o**4/4 - 5*o**3/2 - 431*o**2/2 - 239*o. What is the derivative of t(w) wrt w? -6*w - 15 Let y(c) be the first derivative of 294*c**5/5 - c**2 + 166*c - 259. Find the second derivative of y(l) wrt l. 3528*l**2 Suppose -4*b = 4*p + 24, -p + 5*b - 13 = 11. Let y = 11 + p. Find the third derivative of 2 - 2 + w**6 - 4*w**6 - 4*w**y wrt w. -360*w**3 Differentiate 2*n**4 - 28 - 56 - 6*n + n - 4*n wrt n. 8*n**3 - 9 Suppose -29 = 2*c - 33. Find the second derivative of 467 - 467 - 22*a**c + 18*a wrt a. -44 Let j(w) be the third derivative of -4*w**2 + 0*w + 1/24*w**4 + 0*w**7 + 0 - 1/112*w**8 + 0*w**6 + 0*w**3 + 0*w**5. Find the second derivative of j(x) wrt x. -60*x**3 Let v be (-2)/(-8) + 69/12. Let q(g) = g**3 - 6*g**2 + g - 4. Let y be q(v). What is the third derivative of -16*o**2 + o**3 + y*o**3 + 20*o**2 - 2*o**3 wrt o? 6 Let n = 71 + 99. Let l be 2/9 - n/(-45). Find the third derivative of -2*a**4 - 67 - a**2 + 67 - a**l wrt a. -72*a Let w be (-4 - (-303)/60)*4/3. Let p(b) be the first derivative of 0*b**4 + 0*b + 0*b**2 - 6 + w*b**5 + 10/3*b**3. Find the third derivative of p(q) wrt q. 168*q Let x = 78 - 78. Suppose -3*y + 20 = y. Find the second derivative of -3*p + x*p**y + 4*p - p**5 wrt p. -
{ "pile_set_name": "DM Mathematics" }
ithout replacement from {t: 5, m: 8}? 70/429 Four letters picked without replacement from gtgtgggggjjgggg. What is prob of sequence gjgt? 11/819 Two letters picked without replacement from {a: 1, b: 2, o: 1, f: 2, e: 2}. Give prob of sequence eb. 1/14 Two letters picked without replacement from koksokkskkk. What is prob of sequence os? 2/55 What is prob of sequence ynyn when four letters picked without replacement from {n: 7, y: 2}? 1/36 Calculate prob of sequence mfp when three letters picked without replacement from pppfpffpfpppmfppf. 1/68 Three letters picked without replacement from {p: 1, f: 4, a: 3, h: 5, l: 1}. Give prob of sequence pff. 1/182 Calculate prob of sequence hnhn when four letters picked without replacement from {k: 5, o: 3, n: 2, h: 5}. 1/819 Three letters picked without replacement from efeeeeefeeeeeefe. Give prob of sequence ffe. 13/560 Four letters picked without replacement from qmqqqqqqqqqmqmq. Give prob of sequence mqmm. 1/455 What is prob of sequence oorr when four letters picked without replacement from {r: 2, o: 2}? 1/6 Four letters picked without replacement from wbwsfwbbeej. Give prob of sequence eswb. 1/440 What is prob of sequence rwg when three letters picked without replacement from eeeeereeereeweg? 1/1365 Two letters picked without replacement from {f: 1, s: 2, j: 1, g: 1, i: 5}. Give prob of sequence gi. 1/18 Two letters picked without replacement from {u: 2, n: 2, g: 1, y: 1, e: 4}. Give prob of sequence ee. 2/15 What is prob of sequence eeem when four letters picked without replacement from {p: 2, e: 2, m: 1}? 0 Calculate prob of sequence fjcf when four letters picked without replacement from fqfcfffeeteqfjcfqe. 7/6120 What is prob of sequence waj when three letters picked without replacement from jjwwjwwwwjawjaw? 8/273 Three letters picked without replacement from {x: 1, b: 2, r: 11}. What is prob of sequence xbr? 11/1092 Four letters picked without replacement from pxxrpaarxrrxxxa. Give prob of sequence arxr. 3/455 What is prob of sequence llz when three letters picked without replacement from {z: 2, l: 2}? 1/6 Three letters picked without replacement from yspdppppoopdssddppsp. What is prob of sequence oys? 1/855 Three letters picked without replacement from ttttrwrw. Give prob of sequence rww. 1/84 Two letters picked without replacement from efefefee. Give prob of sequence ff. 3/28 What is prob of sequence ctct when four letters picked without replacement from tccttccctccttttctc? 6/85 What is prob of sequence qcd when three letters picked without replacement from cqccqccdqcqcq? 35/1716 Four letters picked without replacement from {z: 3, h: 3}. Give prob of sequence hzhz. 1/10 What is prob of sequence fit when three letters picked without replacement from {i: 1, f: 5, t: 3, e: 1, b: 5}? 1/182 Four letters picked without replacement from zmwrrzmwrwzrizzrmm. Give prob of sequence wmwm. 1/1020 Calculate prob of sequence gii when three letters picked without replacement from buuguciibibuiu. 1/182 Three letters picked without replacement from {x: 2, f: 2, j: 7}. What is prob of sequence xfx? 2/495 Two letters picked without replacement from ihtffwataiii. Give prob of sequence wa. 1/66 Two letters picked without replacement from wcvvwvvvvvcvvvvvvcvv. What is prob of sequence vw? 3/38 What is prob of sequence rnln when four letters picked without replacement from lnlrnnzzyzlrlyzzz? 1/1190 What is prob of sequence llii when four letters picked without replacement from iilliiiiii? 1/45 What is prob of sequence ie when two letters picked without replacement from {e: 1, a: 5, j: 2, i: 8, h: 1}? 1/34 What is prob of sequence fsfw when four letters picked without replacement from isffiiwfiuhh? 1/1980 What is prob of sequence ee when two letters picked without replacement from {p: 9, m: 2, e: 5}? 1/12 Calculate prob of sequence bq when two letters picked without replacement from uuyqpqwqpbupqu. 2/91 What is prob of sequence nfo when three letters picked without replacement from {c: 1, q: 1, n: 1, f: 1, o: 2, r: 1}? 1/105 What is prob of sequence inin when four letters picked without replacement from {n: 2, i: 16}? 1/153 Calculate prob of sequence ara when three letters picked without replacement from ara. 1/3 What is prob of sequence ttd when three letters picked without replacement from txtd? 1/12 Four letters picked without replacement from {c: 1, r: 1, f: 2, j: 2, a: 2}. What is prob of sequence rjac? 1/420 Four letters picked without replacement from {q: 2, i: 2}. Give prob of sequence iiqq. 1/6 Three letters picked without replacement from {r: 1, v: 9, w: 1}. Give prob of sequence wvr. 1/110 Calculate prob of sequence ugg when three letters picked without replacement from {u: 1, j: 2, g: 2}. 1/30 Four letters picked without replacement from {d: 5, j: 1, e: 2, t: 3, c: 5}. Give prob of sequence ddcd. 5/728 Calculate prob of sequence dn when two letters picked without replacement from dnadaadaaaaadnd. 1/21 What is prob of sequence kdf when three letters picked without replacement from fdkooeoeeoxk? 1/660 Three letters picked without replacement from {l: 1, c: 3, v: 3, k: 3, a: 3, d: 5}. What is prob of sequence dkc? 5/544 What is prob of sequence hb when two letters picked without replacement from {h: 1, b: 2, t: 4, a: 1}? 1/28 What is prob of sequence dkn when three letters picked without replacement from {n: 2, d: 5, k: 3}? 1/24 What is prob of sequence aw when two letters picked without replacement from ewrrawjjww? 2/45 Three letters picked without replacement from {b: 1, u: 1, s: 4, x: 4, t: 1, i: 4}. Give prob of sequence sxs. 8/455 Three letters picked without replacement from lssollbl. Give prob of sequence lls. 1/14 Four letters picked without replacement from {w: 10, z: 4}. Give prob of sequence zwzw. 45/1001 What is prob of sequence pt when two letters picked without replacement from {o: 1, t: 1, e: 1, r: 1, p: 2, h: 1}? 1/21 What is prob of sequence bbmp when four letters picked without replacement from {j: 1, b: 3, m: 1, l: 11, p: 2}? 1/6120 Three letters picked without replacement from xooexxkxxcheoxc. Give prob of sequence cco. 1/455 What is prob of sequence tuu when three letters picked without replacement from {t: 7, u: 2}? 1/36 What is prob of sequence cn when two letters picked without replacement from {n: 2, c: 6}? 3/14 Four letters picked without replacement from shlhzrslk. Give prob of sequence hrlk. 1/756 What is prob of sequence wj when two letters picked without replacement from qgjgw? 1/20 Three letters picked without replacement from {t: 2, l: 8}. Give prob of sequence ltt. 1/45 Calculate prob of sequence htt when three letters picked without replacement from thhcct. 1/30 Calculate prob of sequence co when two letters picked without replacement from {m: 3, f: 3, c: 2, i: 1, r: 4, o: 6}. 2/57 Two letters picked without replacement from {k: 1, o: 2}. Give prob of sequence ok. 1/3 Calculate prob of sequence wqq when three letters picked without replacement from {q: 18, w: 1}. 1/19 What is prob of sequence gg when two letters picked without replacement from {f: 1, a: 1, g: 7}? 7/12 Calculate prob of sequence le when two letters picked without replacement from lelh. 1/6 Four letters picked without replacement from {p: 1, c: 3, o: 12}. What is prob of sequence opoc? 33/3640 Calculate prob of sequence xww when three letters picked without replacement from wwxxw. 1/5 What is prob of sequence ae when two letters picked without replacement from aeeeeeeeeeeee? 1/13 Two letters picked without replacement from {l: 1, u: 10, t: 9}. Give prob of sequence ut. 9/38 Four letters picked without replacement from {z: 2, h: 3}. Give prob of sequence hhzh. 1/10 Three letters picked without replacement from {f: 1, w: 11, v: 2, m: 5, s: 1}. What is prob of sequence wvm? 11/684 Three letters picked without replacement from ctfcctcfccc. What is prob of sequence tcc? 14/165 What is prob of sequence yysl when four letters picked without replacement from {t: 4, y: 4, h: 1, s: 1, l: 1}? 1/660 Two letters picked without replacement from {p: 1, j: 1, w: 1, c: 1, n: 1}. What is prob of sequence wc? 1/20 What is prob of sequence paaa when four letters picked without replacement from shbapsphpzaabbb? 1/1820 What is pro
{ "pile_set_name": "DM Mathematics" }
*r(g) - 11*w(g). -2*g - 1 Let k(m) be the first derivative of -9*m**2/2 + 4*m - 2. Let j(t) = 5*t - 2. Give 7*j(w) + 4*k(w). -w + 2 Suppose -3*h + 6 = -3*n, 3 - 25 = 5*n - 2*h. Let p(f) = -6*f**2. Let v(z) = -z**2. Calculate n*p(i) + 34*v(i). 2*i**2 Let v(x) = 4300*x**3 - 301*x**2 + 301*x. Let g(m) = -43*m**3 + 3*m**2 - 3*m. Calculate -602*g(u) - 6*v(u). 86*u**3 Let x(z) = 4*z**2 - 2*z - 1. Let p(w) = 5 - 3 + 0 + 9*w**2 - 4 - 4*w. Calculate 3*p(u) - 7*x(u). -u**2 + 2*u + 1 Let h(b) = 3*b**2 - 5. Let y(d) = d**2 + d - 1. Determine h(r) - 2*y(r). r**2 - 2*r - 3 Let c(o) = -11*o**3 - 2*o**2. Let y(k) = 243*k**3 + 45*k**2. Calculate 45*c(m) + 2*y(m). -9*m**3 Let s(z) = 4*z**2 + 7*z + 7. Let l(k) = k**2 + k + 1. Suppose -7*i - 8 = -3*i. Let n be i/3 + 3/(-9). Determine n*s(x) + 6*l(x). 2*x**2 - x - 1 Let d(t) = 6*t**2 + 6*t + 6. Suppose -p = -1 - 0. Let g(y) = -y**2 + y - 1. Let h(f) = 2*f**2 - 3*f + 2. Let n(i) = 5*g(i) + 2*h(i). Determine p*d(c) + 4*n(c). 2*c**2 + 2*c + 2 Let s be (4/(-5))/((-32)/80). Let g(m) = -2*m + m**2 - m**3 + m**s - 3*m**2 + 3*m. Let n(w) = w**3 + w**2 + w. Calculate g(t) - n(t). -2*t**3 - 2*t**2 Let j(s) = -2*s - 1 + 4 - 9*s**3 - 1. Suppose 6*a - 133 + 55 = 0. Let y(b) = 19*b**3 + 4*b - 4. Calculate a*j(d) + 6*y(d). -3*d**3 - 2*d + 2 Let s(v) = 2*v**2 - v. Let j(r) = 1. What is -2*j(a) - s(a)? -2*a**2 + a - 2 Let b(y) = 19*y**3 - 4*y**2 - 5*y + 9. Let n(j) = -28*j**3 + 6*j**2 + 7*j - 13. What is -7*b(s) - 5*n(s)? 7*s**3 - 2*s**2 + 2 Let n(u) = -4*u + 4. Let m(i) = -5*i + 4. Calculate -2*m(c) + 3*n(c). -2*c + 4 Let o(u) = 21*u + 4. Let r(q) = -22*q - 5. Give 5*o(a) + 4*r(a). 17*a Let m(b) = b - 1. Let g(t) = 4*t + 2. Calculate -g(c) - m(c). -5*c - 1 Let v(w) = 22*w**2 + 3*w + 3. Let h(d) = -1121*d**2 - 152*d - 152. Calculate 3*h(p) + 152*v(p). -19*p**2 Let n(h) = 2*h**3 + 3*h**2 - 3*h + 3. Let b(r) = 3*r**3 + 4*r**2 - 4*r + 4. Let j(i) = 2*i**2 - i**2 - 4 + 0 + 3*i. Let y be j(-3). What is y*n(z) + 3*b(z)? z**3 Let s(z) = -2*z**2 - 5*z + 6. Let h(d) = -1. Let o(x) = 2*h(x) + s(x). Let n(q) = -3*q**2 - 6*q + 5. Determine -4*n(c) + 5*o(c). 2*c**2 - c Let t(f) = -5*f**2 + 4*f + 3. Let w = 37 + -52. Let s = -11 - w. Let x(m) be the second derivative of -m**4/3 + m**3/2 + m**2 - 2*m. Give s*x(a) - 3*t(a). -a**2 - 1 Let f(d) = -d + 5. Let r(m) = 16*m - 31. Let y(n) = -3*n + 6. Let i(c) = -2*r(c) - 11*y(c). Give -4*f(l) - 5*i(l). -l Let f(y) = 2*y**3 + 4*y**2 - 4*y. Let b = 16 - 2. Let j = b + -5. Let i = j + -5. Let p(o) = -4*o**3 - 9*o**2 + 9*o. Calculate i*p(w) + 9*f(w). 2*w**3 Let a(l) = -1 - 7 - 2*l**2 - 8*l + 2. Let f(m) = m**2 + 3*m + 2. Determine 3*a(h) + 8*f(h). 2*h**2 - 2 Let m(v) = -5*v + 6. Suppose w = -4*w - 35. Let f(j) = 7 - 5*j - 4*j + 3*j. Determine w*m(k) + 6*f(k). -k Let m(j) = -j**2 - j. Let c(n) = -2*n**3 - 2*n**2 + 1. Suppose -2 = -i - 3. Let w be c(i). Let f(d) = -4*d**2 - 6*d - 2. Calculate w*f(x) - 6*m(x). 2*x**2 - 2 Let s(v) = -9*v**2 - 2*v + 5. Let c(l) be the third derivative of -l**5/15 - l**4/24 + l**3/3 - l**2. Let q = -21 + 26. Give q*c(g) - 2*s(g). -2*g**2 - g Let l = -6 - -7. Suppose 3*s = -s - 2*r, -3*s = r + l. Let k(j) = 4*j**2 + 6*j + 8. Let t(o) = o**2 + o + 1. Give s*k(v) + 6*t(v). 2*v**2 - 2 Suppose 0 = -2*w - 1 + 11. Let t(j) = -9*j + 5. Let x(d) = 4*d - 2. What is w*x(n) + 2*t(n)? 2*n Let i(y) = 2*y - 1. Let z(f) = 1. Let v(t) = -3*i(t) + 3*z(t). Let c(m) = -5*m + 5. What is -4*c(k) + 3*v(k)? 2*k - 2 Let r(t) = t + 4. Let x(d) = d**2 - 5*d - 3. Let a be x(6). Let i(k) = -k + 2 - 1 - k + a*k. Calculate 3*i(q) - r(q). 2*q - 1 Let r(f) = -3*f**2 - 2*f + 6. Let i(h) = 7*h**2 + 4*h - 13. What is 2*i(g) + 5*r(g)? -g**2 - 2*g + 4 Let g(v) = 2*v**3 - 6*v. Let p(o) = -o**3 + 5*o. Calculate -5*g(l) - 6*p(l). -4*l**3 Let h(f) be the first derivative of 5*f**2/2 + 3*f - 1. Let y(l) = l**2 + 6*l - 4. Let q be y(-7). Let r(x) = 24*x + 14. What is q*r(v) - 14*h(v)? 2*v Let f(k) = -k**2 - 2*k - 4. Let t(o) = -2*o**2 - 5*o - 11. Determine 8*f(z) - 3*t(z). -2*z**2 - z + 1 Let r(i) = 11*i**3 - 7*i**2 - 5*i + 2. Let l(h) = -4*h**2 + 2 - 1 + 5*h**3 + h**2 - 2*h. What is -7*l(k) + 3*r(k)? -2*k**3 - k - 1 Let t(w) = 2*w. Suppose 3*q = 3*l + 18, -2 = -3*q + 2*q. Let z(x) = -x**3 + 10*x**2 + 24*x + 5. Let o be z(12). Let i(c) = c. Determine l*t(s) + o*i(s). -3*s Let s(l) = 7*l**2 + 3*l. Let f(v) = 14*v**2 + 7*v - 1. Give -2*f(k) + 5*s(k). 7*k**2 + k + 2 Let t(l) = 5*l**2 + 17*l + 3. Let b(x) = x**2 - x - 1. Let c(u) = 8*u**2 - 5. Let s(q) = -6*b(q) + c(q). What is -11*s(m) + 4*t(m)? -2*m**2 + 2*m + 1 Let s(l) = -4*l**3 + 2*l**2 + 2*l. Suppose 2*f = 2*o - 16, o = -5*f - 13 - 9. Let d(m) = -4*m**3 + 3*m**2 + 3*m. Determine o*s(h) - 2*d(h). -4*h**3 Let t(p) = 3*p. Let f(w) = -w. Let g(y) = -7*f(y) - 2*t(y). Let s(n) = -7*n - 2. What is 4*g(u) + s(u)? -3*u - 2 Suppose -5 = -n, n + 8 - 5 = 2*o. Let v(i) = -i**3 + i**2 - i - 3. Let g(s) = s**3 - s**2 + s + 4. What is o*v(k) + 3*g(k)? -k**3 + k**2 - k Let d(c) = -4*c**3 - 5*c**2 - 6. Let n(i) = -7*i**3 - 11*i**2 - 11. Give 11*d(r) - 6*n(r). -2*r**3 + 11*r**2 Let b(q) = q**2. Suppose 3*c = 5*s - 6 + 2, -4*s - 4*c - 16 = 0. Let y(v) = v. Give s*y(z) - b(z). -z**2 - z Let q(g) = 98*g**2. Let z(o) = -33*o**2. Calculate 6*q(w) + 17*z(w). 27*w**2 Let y(u) = 5*u**3 + 2*u + 2. Let z(n) = 20*n**3 + 9*n + 9. Calculate -18*y(h) + 4*z(h). -10*h**3 Let f(c) = -5*c**2 + 11*c - 13. Let o(a) = -3*a**2 + 6*a - 7. Let h be (-2 - 0)*(-35)/(-10). Let g be (2/(-6))/(h/126). What is g*f(j) - 11*o(j)? 3*j**2 - 1 Let h(j) = -5*j**2 - 8*j + 3. Let o(d) = 6*d**2 + 9*d - 4. Let y = -170 - -173. Determine y*o(q) + 4*h(q). -2*q**2 - 5*q Let s(n) = 34*n - 3. Let l(a) = -102*a + 10. Determine 3*l(b) + 10*s(b). 34*b Let v(i) = 2*i**3 - i**2 + 7. Let z(d) = 6*d**3 - 3*d**2 + 20. Determine 17*v(r) - 6*z(r). -2*r**3 + r**2 - 1 Let j(b) = 35*b**2 - 3*b + 5. Let x(f) = 17*f**2 - 2*f + 3. Give 3*j(m) - 5*x(m). 20*m**2 + m Let v(f) = 2*f**3 + 3*f**2 - f - 9. Let m be v(-2). Let a(w) = -15*w + 11. Let h(b) = -8*b + 6. Give m*h(j) + 6*a(j). -2*j Let g(d) = d**2 + 0 + 0. Let f(i) = -2*i + 18 - 4*i**2 + 0*i**2 - 20. Let v = -3 - -2. Calculate v*f(m) - 3*g(m). m**2 + 2*m + 2 Let w(p) = 6*p - 10. Let z(g) = 4*g - 17. Let n(c) = -c + 4. Let k(m) = 9*n(m) + 2*z(m). Calculate 11*k(b) + 2*w(b). b + 2 Let v(d) = -3*d + 9. Let r(a) = -a - 1. Determine r(u) - v(u). 2*u - 10 Let p(i) = 48*i**3 + 4*i**2 + 7*i - 7. Let x(c) = -16*c**3 - c**2 - 2*c + 2. Determine 2*p(m) + 7*x(m). -16*m**3 + m**2 Let u(l) = -3*l. Let t(s) be the first derivative of s**2 + 1. Let f be 3*5*4/12. Suppose 0 = -0*j + f*j - 35. Give j*t(i) + 4*u(i). 2*i Let t(r) = -r**2 + 7*r - 5. Let y(q) = 4*q - 1. Let f(n) = -n - 1. Let k(c) = -f(c) - y(c). Calculate 7*k(x) + 3*t(x). -3*x**2 - 1 Let q(i) = 11*i - 3. Let g(b) = 5*b - 2. Determine -5*g(c) + 2*q(c). -3*c + 4 Let i(n) = -8*n**3 - 2*n**2 - n. Let h be i(-1). Let s(a) = 3 - h - 3*a - 3*a - 7*a - 9*a**2. Let l(q) = -4*q**2 - 6*q - 2. What is -13*l(f) + 6*s(f)? -2*f**2 + 2 Let h(z) = 55*z**2 + 3*z + 3. Let k(s) = 166*s**2 + 8*s + 8. Give 8*h(i) - 3*k(i). -58*i**2 Let q = 12 + -3. Let t(m) = -m**2 + 10*m - 12. Let i be t(q). Let f(a) = a**2 - a - 4. Let l(v) = -2*v**2 + v + 7. Determine i*l(d) - 5*f(d). d**2 + 2*d - 1 Let n(g) = -3*g + 5*g - g + 4 + g. Let y(v) = 2 - v + 0 - 5. Suppose 5*u - 9 = 11. Give u*y(q) + 3*n(q). 2*q Suppose -7 = -3*f - 5*y, 17 = -3*f + 7*f - y. Let p(g) be the third derivative of 0*g + g**3 + g**2 - 7/24*g**f + 0. Let x(s) = -s + 1. What is p(a) - 6*x(a)? -a Let d(s) = -s**3 - s**2 + 3. Let n(w) = 49*w - w**3 - 102*w - w**2 + 54*w + 1. Determine -d(v) + 3*n(v). -2*v**3 - 2*v**2 + 3*v Let k(x) be the first derivative of 7*x**4/4 - 4*x**3/3 - 2*x**2 + 59. Let z(l) = 15*l**2 - 12*l**3 - 19*l**3 + 4*l**3 + 15*l. Determine 15*k(a) + 4*z(a). -3*a**3 Let y(f) = 6*f**2 - 7*f. Let x(u) = -5*u**2 + 6*u. Suppose 5*v = k + 35, v = 4*v - 3*k - 21. Let j be (6 + -7)*v*1. Give j*x(h) - 6*y(h). -h**2 Let t(k) = -k - 1. Let x(c) = c + 4. Give 3*t(j) + x(j). -2*j + 1 Let f(i) = 0*i**3 + 4*i**3 + 4*i - 3*i**2 - 1 + 0. Let l(k) = 7*k**3 - 5*k**2 + 7*k - 1. Suppose -d + 3*h = -9, -2*h - 7 = 4*d - 5*d. Calculate d*l(s) - 5*f(s). s**3 + s + 2 Let n(j) = 7*j + 18. Let s(l) = -l. What is n(x) + 6*
{ "pile_set_name": "DM Mathematics" }
ext: 85, 341, 769, 1369? 2141 What is the next term in -149, -154, -159? -164 What comes next: 5, 15, 1, -49, -147, -305, -535, -849? -1259 What is next in -17, -17, -23, -41, -77, -137, -227? -353 What is next in 17, 34, 41, 32, 1? -58 What is the next term in -88, -106, -124? -142 What comes next: 654, 1312, 1972, 2634, 3298? 3964 What comes next: 211, 389, 565, 739, 911, 1081, 1249? 1415 What comes next: -54, -72, -102, -144, -198, -264? -342 What is the next term in -816, -1531, -2236, -2925, -3592, -4231, -4836, -5401? -5920 What comes next: -252, -247, -242? -237 What is next in 6, -14, -58, -138, -266, -454, -714, -1058? -1498 What is the next term in -991, -987, -983, -979? -975 What is next in 463, 1854, 4173, 7420, 11595? 16698 What comes next: -40, -35, -30? -25 What is the next term in -28, -131, -302, -541, -848, -1223? -1666 What comes next: 356, 317, 276, 233, 188, 141, 92? 41 What is the next term in -27, -53, -79, -105, -131? -157 What comes next: -8524, -8522, -8520, -8518, -8516, -8514? -8512 What is next in 177, 172, 163, 150? 133 What is the next term in 50, 128, 206, 284, 362? 440 What is the next term in 260, 518, 772, 1022, 1268, 1510, 1748? 1982 What is the next term in -532, -531, -530? -529 What is the next term in 2211, 4407, 6603, 8799? 10995 What is the next term in -52, -61, -70, -79, -88? -97 What comes next: -1317, -1319, -1321, -1323, -1325, -1327? -1329 What comes next: -3373, -3372, -3371? -3370 What is next in -23, -96, -217, -386, -603, -868? -1181 What is the next term in -232, -461, -676, -871, -1040, -1177, -1276? -1331 What is next in -264, -528, -790, -1050, -1308, -1564? -1818 What is next in 186, 193, 194, 183, 154, 101? 18 What comes next: 4, 3, -2, -11, -24? -41 What is the next term in 23, 83, 175, 293, 431, 583, 743? 905 What comes next: 347, 388, 457, 554? 679 What is the next term in -19, -62, -137, -250, -407, -614, -877, -1202? -1595 What is the next term in 7732, 7729, 7724, 7717? 7708 What is the next term in 10, -9, -50, -119, -222, -365, -554? -795 What is the next term in 352, 699, 1038, 1369? 1692 What is next in 725, 726, 727, 728, 729? 730 What is the next term in 28, 22, 16, 10, 4, -2? -8 What is next in -16, -21, -28, -37, -48, -61? -76 What comes next: 1165, 2324, 3483, 4642? 5801 What comes next: 780, 1560, 2340, 3120, 3900, 4680? 5460 What comes next: 567, 566, 563, 558? 551 What is the next term in -1, 82, 311, 758, 1495, 2594, 4127, 6166? 8783 What is the next term in -40949, -40950, -40951, -40952? -40953 What comes next: 63, 131, 199, 267? 335 What comes next: 1022, 1021, 1020, 1019, 1018? 1017 What comes next: -5174, -5170, -5164, -5156? -5146 What comes next: 121, 502, 1141, 2038, 3193? 4606 What is the next term in 405, 386, 353, 306, 245, 170, 81? -22 What comes next: -43, -79, -113, -145, -175? -203 What comes next: -118, -234, -346, -454, -558, -658, -754? -846 What is the next term in 3611, 3609, 3609, 3611, 3615, 3621, 3629? 3639 What is next in -591, -592, -593, -594? -595 What comes next: -151, -159, -169, -181, -195? -211 What comes next: -8501, -8496, -8479, -8444, -8385, -8296, -8171, -8004? -7789 What is the next term in -853, -1711, -2575, -3445, -4321, -5203, -6091? -6985 What comes next: 610, 1214, 1818? 2422 What comes next: -1633, -3263, -4889, -6511, -8129, -9743? -11353 What is next in 734, 732, 730, 728? 726 What comes next: 94, 138, 180, 220, 258, 294? 328 What is next in -3560, -3558, -3556? -3554 What comes next: 17, 2, -13, -28? -43 What comes next: -85, -187, -323, -499, -721, -995, -1327? -1723 What is next in -4198, -4196, -4192, -4186? -4178 What is next in 4, -5, -14, -23, -32? -41 What comes next: -796, -795, -794, -793, -792, -791? -790 What comes next: -25, -48, -71? -94 What is next in -222, -220, -218, -216? -214 What comes next: 27, 43, 59, 75, 91, 107? 123 What is next in 11, 56, 181, 428, 839, 1456, 2321, 3476? 4963 What comes next: 67, 119, 157, 175, 167? 127 What comes next: 1126, 1125, 1124, 1123, 1122, 1121? 1120 What comes next: -24, -114, -272, -498, -792? -1154 What is the next term in 20, 15, 6, -7? -24 What comes next: 53, 123, 193? 263 What comes next: 3, 47, 91? 135 What comes next: -292, -298, -314, -346, -400, -482, -598, -754? -956 What is the next term in -173, -179, -185, -191? -197 What is next in 130, 262, 394, 526, 658, 790? 922 What comes next: -33, -72, -113, -156, -201? -248 What is the next term in -8601, -17207, -25815, -34425, -43037? -51651 What is next in -1446, -2891, -4336, -5781, -7226? -8671 What is next in -98, -92, -74, -38, 22, 112? 238 What comes next: -125, -246, -367? -488 What is next in 320, 321, 322, 323? 324 What comes next: -44, -41, -38, -35, -32? -29 What comes next: 8, -8, -24, -40, -56? -72 What comes next: 15, 4, -13, -36, -65? -100 What is the next term in -27, -61, -95, -129, -163? -197 What is the next term in 86, 123, 162, 203? 246 What is the next term in 84, 86, 86, 84, 80? 74 What comes next: 7, 9, 13, 19? 27 What is the next term in 39, 32, 25, 18, 11? 4 What is the next term in 58, 210, 464, 820, 1278, 1838? 2500 What is the next term in 1158, 2308, 3458, 4608? 5758 What is next in 2, 10, 22, 44, 82, 142, 230? 352 What is next in -184, -721, -1612, -2857, -4456, -6409? -8716 What is next in -7506, -15013, -22520, -30027, -37534, -45041? -52548 What is the next term in 85, 98, 119, 148, 185, 230? 283 What comes next: -21, -4, 11, 24, 35? 44 What is the next term in 833, 825, 817, 809, 801, 793? 785 What comes next: -598, -2387, -5360, -9511, -14834, -21323, -28972, -37775? -47726 What comes next: 1288, 1312, 1374, 1492, 1684, 1968, 2362, 2884? 3552 What comes next: 103, 204, 305? 406 What is the next term in 31, 60, 89, 118, 147? 176 What is the next term in -9, -87, -283, -651, -1245? -2119 What is the next term in -60, -65, -80, -111, -164, -245, -360? -515 What comes next: 4421, 8840, 13259, 17678, 22097? 26516 What comes next: 114, 113, 112, 111, 110? 109 What is next in -30, -68, -132, -234, -386, -600, -888, -1262? -1734 What comes next: 39, 65, 105, 165, 251, 369, 525, 725? 975 What is next in -47, -100, -149, -188, -211? -212 What comes next: 1314, 1315, 1316, 1317? 1318 What comes next: 37, 41, 45, 49, 53? 57 What comes next: 42, -8, -68, -144, -242? -368 What is next in -23, -45, -67? -89 What is next in 15, 37, 67, 105, 151, 205, 267? 337 What is next in 78, 75, 70, 63, 54, 43, 30? 15 What is the next term in -58, -99, -114, -91, -18? 117 What comes next: -31, -46, -77, -130, -211? -326 What is the next term in -25883, -25886, -25891, -25898, -25907? -25918 What comes next: 787, 1575, 2363, 3151, 3939, 4727? 5515 What comes next: -71, -140, -209, -278, -347, -416? -485 What is next in -24, -10, 2, 12? 20 What is the next term in -61, -42, -9, 38, 99? 174 What comes next: -1141, -1142, -1143? -1144 What comes next: 290, 586, 886, 1190, 1498, 1810, 2126? 2446 What is the next term in -788, -848, -954, -1112, -1328, -1608, -1958? -2384 What is the next term in 39, 38, 39, 42, 47, 54? 63 What is next in -677, -670, -649, -608, -541, -442, -305? -124 What is next in -257, -259, -261? -263 What comes next: -84, -69, -56, -45, -36, -29, -24? -21 What is the next term in 0, -3, -6? -9 What comes next: -344, -335, -324, -311, -296? -279 What is next in 5, 11, 19, 29, 41, 55? 71 What comes next: 868, 1738, 2608, 3478, 4348? 5218 What is the next term in 392, 393, 394, 395? 396 What is next in -26, -15, 10, 55, 126, 229, 370, 555? 790 What is the next term in -137, -140, -145, -152, -161, -172, -185? -200 What is the next term in 344, 348, 352, 356, 360? 364 What is the next term in 112, 109, 106, 103, 100, 97? 94 What comes next: -58, -60, -62? -64 What comes next: 557, 1104, 1651, 2198, 2745, 3292? 3839 What is next in 31, 49, 89, 157, 259, 401, 589, 829? 1127 What comes next: 8342, 8341, 8340, 8339, 8338? 8337 What is the next term in -867, -3457, -7773, -13815, -21583? -31077 What is next in -29, -27, -15, 13, 63, 141? 253 What comes next: -815, -1632, -2449, -3266, -4083, -4900? -5717 What comes next: -12, -18, -24, -30, -36? -42 What comes next: -609, -1120, -1619, -2100, -2557, -2984, -3375? -3724 What comes next: 44, 28, 12? -4 What is next in 13, 20, 41, 82, 149, 248,
{ "pile_set_name": "DM Mathematics" }
ivative of 35*b**4*m**2 - b**2*m**2 + 55*m**2 - m wrt b? 140*b**3*m**2 - 2*b*m**2 Find the second derivative of -9*d*w**3 + 3*d*w - 685*d + 5*w**3 - 2*w**2 wrt w. -54*d*w + 30*w - 4 Differentiate k**3*u**2 - 737*k**3*u - 1134*u**2 - 5*u with respect to k. 3*k**2*u**2 - 2211*k**2*u What is the derivative of 154*a + 146? 154 Find the third derivative of a**6*q + 261*a**5*q**3 - 7*a**2 - 45*q**3 wrt a. 120*a**3*q + 15660*a**2*q**3 What is the second derivative of -151*i**5 + i - 82? -3020*i**3 Find the second derivative of 5*o**4*r*y - 128*o**4*r - 2*o*r*y - 9*o*r + 46*o*y - o - 2*r wrt o. 60*o**2*r*y - 1536*o**2*r What is the second derivative of -10102*z**2 - 10909*z? -20204 What is the first derivative of 22778*l**4 + 12943? 91112*l**3 Find the third derivative of -15*c**6 - c**5 - 2412*c**2 wrt c. -1800*c**3 - 60*c**2 Find the third derivative of -395*m**5*s**3 + m**3*s**3 - 11*m**2*s**2 - 8*s**3 - 2*s**2 wrt m. -23700*m**2*s**3 + 6*s**3 Differentiate -9517*l - 12604 wrt l. -9517 Differentiate 2*q**4 - 11*q**2 + 9 wrt q. 8*q**3 - 22*q Differentiate -55*d**2*o*x**2 + 3*d**2*o - d**2*x + 2*o*x**2 - 10*o - x**2 with respect to d. -110*d*o*x**2 + 6*d*o - 2*d*x What is the derivative of 717*d*h + 1161*d - 2*h wrt h? 717*d - 2 What is the derivative of -2166*x*y**2 - 1371*y**2 wrt x? -2166*y**2 Differentiate -5384*m**2 + 3353 wrt m. -10768*m Find the third derivative of -l**3*u + 700*l**3 - 633*l**2*u + 4*u wrt l. -6*u + 4200 Find the third derivative of 2*c**5*d + 123*c**4*d*s + 3*c**2*d + 2*c*s - 51 wrt c. 120*c**2*d + 2952*c*d*s Find the second derivative of 30789*b**3*l**2 - 28*b**3*l + 60*b**2*l wrt l. 61578*b**3 What is the third derivative of 196*l**3*p**3 - l**3*p + 1244*l*p**2 wrt p? 1176*l**3 Differentiate b*s - 4*b*x + 156*b + 40*s*x - 2*s wrt x. -4*b + 40*s Find the second derivative of -1029*x**2 + 2000*x. -2058 What is the third derivative of 3*a*t**3 + 7*a*t**2*w - 3*a*t**2 - a*t*w + 118*t**3*w - 2*t**2*w wrt t? 18*a + 708*w Find the third derivative of -16*q**5 - 11*q**3 - 730*q**2 + q. -960*q**2 - 66 What is the third derivative of -31028*g**5 + 6732*g**2? -1861680*g**2 Find the third derivative of 61*x**3 + 25*x**2 + x wrt x. 366 What is the third derivative of -1050*a**3*l**5 + 2*a**3*l**2 - 4*a*l**5 + 51 wrt l? -63000*a**3*l**2 - 240*a*l**2 Differentiate 382*c**2*q**3 + 155*q**3 with respect to c. 764*c*q**3 What is the third derivative of 372*d*f**2*g**3 + d*f**2*g**2 - d*f**2*g - f*g - 45*g**2 wrt g? 2232*d*f**2 Find the second derivative of -3011*n*x**2 + 7*n + 47*x + 1 wrt x. -6022*n What is the derivative of 8117*y**2 - 8134 wrt y? 16234*y Find the second derivative of 6*j**2*s**2 - 3*j**2 + 360*j*s**3 + 18*j*s + 1 wrt s. 12*j**2 + 2160*j*s Differentiate 115*n**2 + 205 with respect to n. 230*n What is the second derivative of 190*b**4*m + 4*b**4 + 4*b**3*m + 180*b*m - b + 3*m wrt b? 2280*b**2*m + 48*b**2 + 24*b*m What is the second derivative of -d*r*s**2 + 141*d*s**2 - 3*d*s + 10*d + 5*r*s**2 - 5*r*s + 6*s**2 + s wrt s? -2*d*r + 282*d + 10*r + 12 Differentiate 9798*k**3 - 14680 wrt k. 29394*k**2 What is the second derivative of -1503*a**2*y**3 + 2*a - 37*y**3 - 4 wrt a? -3006*y**3 What is the first derivative of -2*b*t**3 + 268*b*t**2 + 544*t**3 wrt b? -2*t**3 + 268*t**2 What is the first derivative of -5790*t + 3352 wrt t? -5790 What is the first derivative of -6*i*q**3*w**2*y + 10*i*q*w**2 + i*w**2 - 4*q**3 - 12*q*w**2*y wrt y? -6*i*q**3*w**2 - 12*q*w**2 Differentiate g**2*z**2 - 296*g*z**3 + 3*z**3 - 152 with respect to g. 2*g*z**2 - 296*z**3 Find the third derivative of 35*o**6 + 8*o**5 + 8*o**2 + 3*o + 6 wrt o. 4200*o**3 + 480*o**2 What is the derivative of g**4*t**3 - 8*g**4*t + 3*g*m - 177*m*t**3 wrt g? 4*g**3*t**3 - 32*g**3*t + 3*m What is the second derivative of -4599*q**5 - 10914*q wrt q? -91980*q**3 What is the first derivative of 6800*i**4*n - 11*n - 58 wrt i? 27200*i**3*n What is the second derivative of -92*u**5 - 13*u**3 + 41*u - 13? -1840*u**3 - 78*u What is the third derivative of -872*g**5*q - 3*g**4*q + 3*g**2*q + 2*g**2 - 5*g*q wrt g? -52320*g**2*q - 72*g*q What is the third derivative of 492*g**3*l + 2*g**2*l + 267*g**2 wrt g? 2952*l Find the second derivative of 157*y**3 - 44*y + 4 wrt y. 942*y Differentiate -2*f**3 - f**2*k*u - 14*f*k - 53*k - 4*u wrt f. -6*f**2 - 2*f*k*u - 14*k Find the third derivative of -3*g**3*x**3 - 407*g**3 + 4*g**2*x**3 + 337*g*x**3 - x**2 wrt g. -18*x**3 - 2442 Find the second derivative of 1018*c*s**2*w**2 + c*s**2 + 87*c*w - s**2*w wrt w. 2036*c*s**2 Find the second derivative of 281*d**2*j**2 - 3*d*j**2 + 5*d*j - 26*j**2 wrt d. 562*j**2 What is the third derivative of -28*r*x**3*y**3 + 2*r*x**3*y**2*z + 2*r*x*y**2*z + 2*r*x*y**2 - 3*r*y**2*z + y**3*z wrt y? -168*r*x**3 + 6*z What is the second derivative of 2133*f*r**4 - 32*f*r - f - 1 wrt r? 25596*f*r**2 Differentiate 3*j**4*k - 2*j**2*k + 3*j**2 - 7*k - 10 wrt j. 12*j**3*k - 4*j*k + 6*j Find the first derivative of 379*j*s**3 + 3*j*s - 2*j + s - 899 wrt s. 1137*j*s**2 + 3*j + 1 What is the second derivative of m**4 - 3*m**3 + 807*m**2 - 1074*m? 12*m**2 - 18*m + 1614 Find the third derivative of p**4*q**2 - 36*p**4 + 2*p**2*q**2 - p**2 + 103*p*q wrt p. 24*p*q**2 - 864*p Find the third derivative of -186*m**3*o**6 - 3*m**3*o**3 + 695*m**3*o**2 + m*o + o**3 + o**2 wrt o. -22320*m**3*o**3 - 18*m**3 + 6 Find the second derivative of 367*n**5 + 128*n wrt n. 7340*n**3 What is the third derivative of -335*l**4*v + 2*l**3*v**2 + 72*l**2*v**2 wrt l? -8040*l*v + 12*v**2 What is the second derivative of 2822*i**4 + 2498*i? 33864*i**2 Differentiate 216*g**2*l + 2*g - 1300*l wrt g. 432*g*l + 2 What is the third derivative of -4014*p**3*t**3*v**3 + 6*p**2*t**3 + 57*p**2*t**2*v**3 + 4*t**3*v**2 wrt p? -24084*t**3*v**3 What is the second derivative of -166*m**4 - m**3 + 5*m**2 - 5*m - 458 wrt m? -1992*m**2 - 6*m + 10 Find the second derivative of -2*g**3*t**3 + 206*g**3*t - 6*g*t**3 + 11*g*t**2 wrt t. -12*g**3*t - 36*g*t + 22*g Find the first derivative of 795*m**2*r - 2247*m**2 wrt r. 795*m**2 What is the second derivative of 6*u**3 - 885*u**2 - 4*u - 1627 wrt u? 36*u - 1770 What is the first derivative of -3*f**2*j**3 - 4*f**2*j**2 - 14*j**3 + 4 wrt f? -6*f*j**3 - 8*f*j**2 Find the third derivative of 2*x**5 + 109*x**3 + 4862*x**2. 120*x**2 + 654 Find the third derivative of 2*d**3*w**3 - 5*d**3*w*x + 462*d**3*x - d**3 - 6*d**2*w**2*x - 246*w**3 + 4*w**2*x wrt d. 12*w**3 - 30*w*x + 2772*x - 6 Find the first derivative of 711*a + 486 wrt a. 711 Differentiate -2622*o**4 + 2357. -10488*o**3 Find the second derivative of f*g**3 + 121*f*g**2*r**2 + 12*f*g - 6*f*r**3 + 2*f*r - g**2*r**3 + 2*g*r**2 wrt g. 6*f*g + 242*f*r**2 - 2*r**3 Find the third derivative of -2621*d**6*k**2 + 2*d**6*k - 7*d**2*k**2 - 219*d*k wrt d. -314520*d**3*k**2 + 240*d**3*k Find the second derivative of -43*a**2*y**2 - 13*a**2*y + 4*a**2 + 3*a*y**2 - 2*a*y wrt y. -86*a**2 + 6*a Differentiate 11406*i**2*p - 11*i**2 - 304*i wrt p. 11406*i**2 Differentiate 2*u*x**3 - 3*u*x - 174*u - 67*x**3 - 8 wrt u. 2*x**3 - 3*x - 174 Find the third derivative of 21*g**2*r**3 + 5*g**2*r**2 - 19*g**2 - g*r**3 wrt r. 126*g**2 - 6*g What is the derivative of -8*x**2 - 150*x + 9032 wrt x? -16*x - 150 Differentiate 887*l**3 + l**2 + 3*l + 6706 wrt l. 2661*l**2 + 2*l + 3 What is the third derivative of -104*d**6 - 3*d**2 + 25*d wrt d? -12480*d**3 Find the third derivative of 130*j**3 - 324*j**2 wrt j. 780 Differentiate -13*t**2*x + 14*t**2*z + 7*t*x*z - x*z + 2*x wrt z. 14*t**2 + 7*t*x - x What is the second derivative of -2*a*r**4 + 164*a*r**3*u - 4*a*r + 11*a*u + u wrt r? -24*a*r**2 + 984*a*r*u Find the second derivative of 13*b**4 - 13*b**2 - 1081*b. 156*b**2 - 26 What is the second derivative of 38*f*r**3 - 10*f*r + r wrt r? 228*f*r Find the third derivative of 130*b**4*q**3 - b**4*q - 3*b**3*q + 2*b**2*q**3 - b*q + 257*q**3 wrt b. 3120*b*q**3 - 24*b*q - 18*q Find the third derivative of -3*h**3*u**4 + 105*h**3*u**2 - 6*h**3 + 237*h*u**3 wrt u. -72*h**3*u + 1422*h Find the second derivative of -29297*y**2 - 21623*y wrt y. -58594 What is the second derivative of 8*c**5 + c**3*u**2 - c**2 + 4*c*u - 3*c - 2*u**2 wrt c? 160*c**3 + 6*c*u**2 - 2 What is the third derivative of -1529*q**
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 5:58 AM and 4:22 PM? 624 What is 207 minutes after 4:04 AM? 7:31 AM What is 148 minutes after 11:09 AM? 1:37 PM What is 251 minutes after 9:56 PM? 2:07 AM How many minutes are there between 11:53 AM and 8:43 PM? 530 What is 420 minutes before 11:00 AM? 4:00 AM How many minutes are there between 8:25 PM and 3:28 AM? 423 What is 624 minutes before 5:01 PM? 6:37 AM What is 596 minutes after 4:40 PM? 2:36 AM What is 204 minutes before 6:34 PM? 3:10 PM How many minutes are there between 9:56 PM and 5:42 AM? 466 What is 556 minutes before 11:40 AM? 2:24 AM How many minutes are there between 8:43 PM and 6:29 AM? 586 What is 665 minutes before 1:59 PM? 2:54 AM How many minutes are there between 4:32 AM and 4:52 AM? 20 How many minutes are there between 3:55 AM and 8:41 AM? 286 What is 42 minutes before 2:29 PM? 1:47 PM What is 525 minutes after 10:54 PM? 7:39 AM What is 76 minutes after 4:06 PM? 5:22 PM How many minutes are there between 1:49 AM and 9:42 AM? 473 How many minutes are there between 5:09 PM and 11:22 PM? 373 What is 706 minutes after 6:51 AM? 6:37 PM What is 90 minutes after 9:07 PM? 10:37 PM How many minutes are there between 1:37 AM and 4:22 AM? 165 How many minutes are there between 10:39 PM and 6:41 AM? 482 What is 682 minutes before 6:12 AM? 6:50 PM How many minutes are there between 11:04 PM and 8:02 AM? 538 What is 286 minutes before 5:49 PM? 1:03 PM What is 502 minutes after 3:37 AM? 11:59 AM What is 360 minutes after 5:03 AM? 11:03 AM How many minutes are there between 6:12 AM and 10:09 AM? 237 What is 286 minutes before 11:33 PM? 6:47 PM How many minutes are there between 4:14 AM and 4:28 AM? 14 What is 12 minutes before 6:14 AM? 6:02 AM How many minutes are there between 1:58 AM and 5:35 AM? 217 How many minutes are there between 11:45 PM and 8:06 AM? 501 What is 570 minutes after 4:25 AM? 1:55 PM How many minutes are there between 3:41 PM and 11:06 PM? 445 How many minutes are there between 7:38 PM and 12:58 AM? 320 What is 697 minutes before 4:38 PM? 5:01 AM What is 466 minutes before 7:08 PM? 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624 What is 6 minutes after 12:46 PM? 12:52 PM How many minutes are there between 2:06 AM and 3:17 AM? 71 What is 665 minutes after 6:49 PM? 5:54 AM What is 428 minutes before 6:53 AM? 11:45 PM What is 564 minutes before 8:05 PM? 10:41 AM How many minutes are there between 5:51 PM and 1:28 AM? 457 What is 69 minutes before 10:37 PM? 9:28 PM What is 155 minutes before 1:21 AM? 10:46 PM How many minutes are there between 9:38 PM and 2:56 AM? 318 How many minutes are there between 6:29 PM and 5:03 AM? 634 What is 36 minutes before 9:08 AM? 8:32 AM What is 418 minutes after 12:41 AM? 7:39 AM What is 6 minutes after 6:41 PM? 6:47 PM How many minutes are there between 3:28 PM and 5:25 PM? 117 How many minutes are there between 11:01 AM and 11:20 AM? 19 What is 705 minutes before 11:50 AM? 12:05 AM How many minutes are there between 9:25 AM and 6:15 PM? 530 How many minutes are there between 1:53 AM and 4:44 AM? 171 What is 428 minutes before 1:48 PM? 6:40 AM What is 625 minutes before 6:05 PM? 7:40 AM How many minutes are there between 7:57 AM and 8:46 AM? 49 How many minutes are there between 4:44 PM and 9:30 PM? 286 What is 678 minutes after 1:48 AM? 1:06 PM What is 406 minutes before 9:06 AM? 2:20 AM What is 488 minutes before 12:19 PM? 4:11 AM What is 564 minutes after 3:40 AM? 1:04 PM How many minutes are there between 1:00 PM and 3:24 PM? 144 How many minutes are there between 1:40 PM and 5:50 PM? 250 What is 317 minutes before 6:21 AM? 1:04 AM What is 300 minutes after 4:53 AM? 9:53 AM How many minutes are there between 7:28 AM and 5:39 PM? 611 What is 160 minutes before 5:02 PM? 2:22 PM What is 217 minutes before 3:15 AM? 11:38 PM What is 49 minutes after 11:32 PM? 12:21 AM What is 429 minutes after 5:35 PM? 12:44 AM What is 123 minutes before 12:16 AM? 10:13 PM What is 155 minutes after 8:35 AM? 11:10 AM How many minutes are there between 5:29 PM and 4:03 AM? 634 How many minutes are there between 7:04 PM and 10:09 PM? 185 What is 687 minutes before 8:25 AM? 8:58 PM What is 535 minutes after 10:24 PM? 7:19 AM How many minutes are there between 10:05 AM and 9:23 PM? 678 How many minutes are there between 9:08 PM and 4:17 AM? 429 What is 535 minutes after 5:02 AM? 1:57 PM How many minutes are there between 9:50 AM and 7:02 PM? 552 What is 387 minutes after 5:10 AM? 11:37 AM What is 599 minutes after 8:24 PM? 6:23 AM How many minutes are there between 2:30 AM and 8:41 AM? 371 What is 410 minutes after 7:01 AM? 1:51 PM What is 184 minutes before 5:08 PM? 2:04 PM What is 520 minutes before 4:21 PM? 7:41 AM What is 623 minutes after 10:27 AM? 8:50 PM What is 675 minutes before 5:03 AM? 5:48 PM What is 172 minutes before 8:55 AM? 6:03 AM What is 44 minutes after 11:55 PM? 12:39 AM How many minutes are there between 3:24 AM and 11:49 AM? 505 How many minutes are there between 4:24 PM and 6:08 PM? 104 What is 643 minutes before 4:15 AM? 5:32 PM What is 485 minutes after 7:34 AM? 3:39 PM How many minutes are there between 1:46 PM and 3:33 PM? 107 How many minutes are there between 3:50 PM and 4:10 PM? 20 How many minutes are there between 9:43 AM and 3:49 PM? 366 How many minutes are there between 10:47 AM and 4:46 PM? 359 What is 690 minutes after 3:49 PM? 3:19 AM How many minutes are there between 5:06 AM and 2:39 PM? 573 What is 374 minutes after 1:28 PM? 7:42 PM What is 439 minutes before 8:23 AM? 1:04 AM How many minutes are there between 4:02 PM and 7:19 PM? 197 How many minutes are there between 11:55 AM and 9:54 PM? 599 How many minutes are there between 2:24 AM and 5:14 AM? 170 How many minutes are there between 8:55 PM and 5:50 AM? 535 How many minutes are there between 6:55 AM and 4:41 PM? 586 How many minutes are there between 8:31 AM and 6:56 PM? 625 What is 27 minutes after 11:41 PM? 12:08 AM How many minutes are there between 8:30 AM and 11:52 AM? 202 How many minutes are there between 10:45 PM and 7:12 AM? 507 What is 236 minutes after 12:22 AM? 4:18 AM What is 260 minutes before 3:38 PM? 11:18 AM How many minutes are there between 1:03 AM and 1:44 AM? 41 How many minutes are there between 4:21 AM and 1:28 PM? 547 What is 292 minutes after 3:21 AM? 8:13 AM What is 236 minutes after 4:07 PM? 8:03 PM How many minutes are there between 11:14 AM and 2:04 PM? 170 How many minutes are there between 4:55 AM and 6:23 AM? 88 How many minutes are there between 1:26 AM and 8:54 AM? 448 How many minutes are there between 11:00 PM and 10:01 AM? 661 How many minutes are there between 11:02 PM and 8:18 AM? 556 What is 448 minutes before 10:56 PM? 3:28 PM What is 664 minutes before 12:01 AM? 12:57 PM How many minutes are there between 12:22 PM and 7:10 PM? 408 How many minutes are there between 4:29 AM and 1:57 PM? 568 How many minutes are there between 3:44 AM and 11:52 AM? 488 What is 160 minutes before 5:23 AM? 2:43 AM How many minutes are there between 10:35 PM and 5:35 AM? 420 What is 675 minutes after 1:45 AM? 1:00 PM How many minutes are there between 2:07 AM and 9:17 AM? 430 What is 576 minutes after 3:22 AM? 12:58 PM What is 710 minutes after 6:07 PM? 5:57 AM What is 203 minutes before 4:50 AM? 1:27 AM Wh
{ "pile_set_name": "DM Mathematics" }
5 Let z(y) be the third derivative of y**6/120 - y**5/30 - y**4/12 + 2*y**3/3 - 2*y**2. Let l be (0/2)/(-2 - -4). Let c = l + 3. Calculate z(c). 7 Let d(q) = -q**3 - 4*q**2 + 7*q. Let i = -71 + 66. What is d(i)? -10 Let p(j) be the second derivative of 1/2*j**4 + 0 + 3*j**2 + 5*j + j**3 + 1/20*j**5. Calculate p(-4). 14 Let q(p) = p**3 + 7*p**2 + 6*p. Let a be q(-6). Let k(u) = -2 + 1 - 1 - u. Calculate k(a). -2 Suppose 2*u - 10 = -3*w, 0 = 2*w - 3*w - 3*u + 15. Suppose w = -4*b - 4, -3*b = -2*j - 0 - 1. Let r(l) = -l**3 - 2*l**2 - 2*l. Give r(j). 4 Let d(g) be the first derivative of -g**3/3 - 5*g**2/2 + 3*g + 26. Determine d(-4). 7 Let w(h) = -h**2 - 3*h - 3. Let k be w(-3). Let u(z) = -5*z + 5. Let j(l) = -4 + 8*l - 2*l - 2*l. Let x(c) = 6*j(c) + 5*u(c). Calculate x(k). 4 Let t(n) = -4*n + 3. Suppose -14*r + 15*r - 4 = 0. What is t(r)? -13 Let s(r) = 3*r**2 - r. Suppose 0*j - 3 = 3*j. Give s(j). 4 Let l = -6 - -8. Let g(b) be the second derivative of 0*b**2 - l*b + 1/2*b**3 + 0 + 1/20*b**5 - 5/12*b**4. Calculate g(2). -6 Let n(h) = 2*h - 5. Let p be 4/12 - 32/6. Let t = p - -11. Let l(w) = w - 2. Let s(i) = t*n(i) - 13*l(i). Give s(-3). -1 Suppose -22 = v + 5*q, -2*q - 8 + 1 = v. Let c = -4 + v. Let y(p) = -p - 1. Calculate y(c). 0 Let k(w) = -w**2 - 8*w - 9. Let y = -95 - -88. What is k(y)? -2 Suppose -17 = -3*j + 2*z, 5*j + z + 1 = 12. Suppose 5*m = -2*v + 2*m + j, 4*v + m - 21 = 0. Let o = -3 + v. Let i(l) = l**3 - 4*l**2 + 3*l. What is i(o)? 0 Let s = -2 + 4. Suppose 3*c - s*c + m = 4, -4*m + 8 = 0. Let k(t) = -3 + 5*t + c*t - 5*t. Calculate k(5). 7 Let l(z) = -z**3 + z**2 + z + 1. Let d(g) = -3*g**3 + 7*g**2 - g + 2. Let b(o) = d(o) - 2*l(o). Calculate b(2). 6 Let d(k) = -k - 6. Suppose 3*m + 3*g = m - 4, -m - 5*g + 5 = 0. Determine d(m). -1 Let k(g) = 5*g**2 + 11*g + 12. Let v(l) = 11*l**2 + 23*l + 25. Let y(n) = 13*k(n) - 6*v(n). Calculate y(6). 0 Let w(u) = -u**3 + 5*u - 4. Suppose -4 = -b - 4*h + 3, -2*h = -2. Give w(b). -16 Let u = 13 - 8. Suppose -5*w + u = 0, -5*w + 4 + 11 = -5*d. Let g(q) be the first derivative of q**4/4 + 2*q**3/3 - q**2/2 + q - 3. What is g(d)? 3 Let j(c) = c**2 + 4 + 3*c**2 + 2*c**2 - 5*c**2 - 7*c. What is j(5)? -6 Let a(s) = -4 + s**2 + 0 + 5 + 6*s + 2. Give a(-6). 3 Let t(c) = c**3 - 9*c**2 + 8*c - 7. Suppose 10*s - 37 = 43. Calculate t(s). -7 Suppose 4*o - m = 2 + 3, 3 = -3*m. Let f(x) = 8*x - 1. Give f(o). 7 Let r(g) = 11*g**2 + g - 1. Let p be 6/(-10) + 48/30. Calculate r(p). 11 Let x be 9/(-3) - (-2 - -4). Let f(j) = -4 - 7*j - 3 + 1 - 8*j**2 + 7*j**2. Give f(x). 4 Let x(m) = -m - 1. Let c(y) = -4*y - 2. Let l(k) = 2*c(k) - 7*x(k). Let q(g) = g - 2. Let p(s) = 7*l(s) + 6*q(s). Let a be p(7). Let t(v) = 2*v. Determine t(a). 4 Let x(u) = -u - 7 - 10 + 16. Calculate x(6). -7 Suppose -z = 3 - 0, -15 = 3*u + 3*z. Let q(d) = -d - 2. What is q(u)? 0 Let x(o) = 0 + 0*o + 0 - 5 - 2*o. Calculate x(-5). 5 Let c(u) = -u**3 - 3*u + 3. Let o = -19 - -21. What is c(o)? -11 Suppose -10 = -6*r + 2. Let j(c) = c**2 - 3*c - 4. Let f(n) = n**2 - 3*n - 5. Let l(a) = 5*f(a) - 6*j(a). Calculate l(r). 1 Let c(p) be the second derivative of -1/6*p**3 - 5*p + 2*p**2 + 0. What is c(3)? 1 Let s(z) = z**3 + 14*z**2 + z + 17. Let c be (35 + -36)*1/(-1)*-14. What is s(c)? 3 Let b be (-4)/10 + (-102)/(-30). Let r(x) be the third derivative of -x**4/24 + 2*x**3/3 - x**2. Give r(b). 1 Suppose 0 = -0*a - 2*a + 5*w + 1, 5*w = 15. Suppose -6*z = -2*z - a. Let u(n) = -6 - n + 0 + z. Determine u(-6). 2 Suppose 0*u = 4*s + u + 83, 0 = -2*s + 3*u - 45. Let t = -37 - s. Let q be (t/(-20))/((-1)/5). Let w(j) = j**2 + 2*j - 3. Determine w(q). 5 Suppose 3*m = -4*p - 7, 4*m + 30 = -0*m + 5*p. Let s(l) = -l**3 - 6*l**2 - 7*l - 1. Calculate s(m). 9 Let q(v) = -v + 3. Let h be q(0). Let x be (9/h - -1)*-1. Let w(m) = -m**2 - 6*m - 6. What is w(x)? 2 Let y = -317 - -318. Let t(b) = 0*b**2 - 2*b + 0*b**2 + 1 + 5*b**3. Determine t(y). 4 Let z(a) = 2*a**2 + 2*a - 1. Suppose -4*w + 2 = 3*y, 0*w + w - 4 = y. Suppose -1 = b - w*b. Calculate z(b). 3 Let p(b) = -7*b - 3. Let m(o) = -11*o - 4. Let t be (2/3)/((-30)/225). Let u(h) = t*m(h) + 8*p(h). Calculate u(-6). 2 Let d(k) = -k**3 - 4*k**2 + 4*k - 5. Suppose 4*u - 2*u - 5*p + 30 = 0, -3*p = -12. What is d(u)? 0 Let q(z) = -2 + 4 + 0 - 3*z + 2*z**2. What is q(3)? 11 Suppose -3*i - 1 = c + 1, -c + 5*i = 2. Let l be -2 + 1 + 3 + c. Let s(g) = -g - 1. Let b(j) = -2*j - 7. Let q(t) = b(t) - s(t). Determine q(l). -6 Suppose 4*a - 3*a = 9. Let c(t) = -6*t - a + 21 - 6 - 7. Give c(-1). 5 Suppose 0 = -10*x + 13*x. Suppose 4 = 4*b - 4. Let y(r) = 0*r - 3*r**2 + x + 6 + b*r**2 + r. Give y(0). 6 Let h(b) = 5957*b + 1 - 4*b**2 - 5957*b. What is h(-2)? -15 Let m(g) be the second derivative of g**5/20 + g**4/2 + 2*g**3/3 - 7*g**2/2 + 2*g. Let d be 5*(6/21 + 27/(-21)). Determine m(d). -2 Let b(k) = -9*k**3 - 2*k - 1. Let d = 13 - 14. Determine b(d). 10 Suppose -5*b + 6 + 4 = 0. Let v(k) = 5*k**2 - 3*k**b + k - 2 + 1. Calculate v(2). 9 Let l(b) be the third derivative of -b**6/120 + 7*b**5/60 - 5*b**4/24 - 4*b**3/3 - 7*b**2. Give l(6). -2 Let p(w) be the third derivative of -w**7/840 + w**6/72 - w**5/60 + w**4/6 + w**3/2 + 2*w**2. Let r(n) be the first derivative of p(n). What is r(5)? -6 Let m(q) = q**3 - 3*q**2 + q. Let j(k) = 6*k - 25. Let c(a) = -2*a + 8. Let z(f) = 11*c(f) + 4*j(f). Let x be z(9). Suppose -5*l + 16 - x = 0. What is m(l)? -2 Let o(u) = -u**3 - 5*u**2 + 7*u + 7. Suppose -4*y - 34 = 5*f, 3*f + 12 = -4*y - 18. What is o(y)? 1 Suppose -2*c - 8 = c + w, 3*c - w = -10. Let x(n) = n**2 + 3*n. Give x(c). 0 Suppose -2*s - w = 6, 4*s + 3*w = 4 - 14. Let g(j) = 4*j - 2. Let b(f) = 3*f - 2. Let y(i) = s*g(i) + 5*b(i). Let z(t) = -t + 5. Let u be z(0). Determine y(u). -7 Suppose 0*a - 20 = -5*a - 3*p, 17 = -3*a + 4*p. Let w(o) = -13*o**3 + 4*o**3 + o**2 + 1 + o - 2. Determine w(a). -8 Suppose 0*x - x - 22 = -3*u, -4*x = 3*u - 32. Suppose -3*r = 4*o - r + 20, o = -2*r - u. Let z(q) = -4*q - 5. Give z(o). 11 Let j(l) = l**2. Let m(s) = s. Let g be m(2). Let y(h) = -4*h**2 + 0*h + 1 + 5*h**2 + g*h. Let i(v) = 2*j(v) - y(v). Determine i(-1). 2 Let z(g) = -2*g + 5. Let p(s) = -3*s + 6. Let a be (-6)/((-12)/(-3) - 2). Suppose -2*f = -3*d - d - 20, -15 = 5*d. Let k(x) = a*p(x) + f*z(x). Calculate k(-5). -3 Let w(j) = -10*j**2 + 11*j - 3. Let u(z) = 3*z**2 - 4*z + 1. Let o(b) = 7*u(b) + 2*w(b). What is o(6)? 1 Let i(w) = 4*w**2 + 16*w + 44. Let y(h) = -h**2 - 3*h - 9. Let p(s) = -5*i(s) - 24*y(s). Let a(j) = -j**2 + j. Let v(b) = 5*a(b) + p(b). Calculate v(-3). -4 Let k be 1/(-3) - (-14)/(-3). Let r(m) = -7*m**2 + 4 + 8*m**2 - 4 + 4 + 5*m. Give r(k). 4 Let i(s) = 9*s + 1. Let c = -66 - -65. Calculate i(c). -8 Let d(x) = 4*x**2 - 1. Let k(r) = -r**2 + r. Suppose -4*h + 9*h - 5 = 0. Let o(s) = h*d(s) + 2*k(s). Calculate o(2). 11 Let o = -10 + 12. Let g be (-3)/(((-27)/o)/(-9)). Let m(a) = -a + 1. Calculate m(g). 3 Let u(h) = h + 1. Let p = 7 - 6. What is u(p)? 2 Let l(d) be the second derivative of -d**4/6 - 5*d**3/6 - d**2 - 14*d. Let b(o) = 2*o + 3 + o + 0*o. Let c be b(-2). Give l(c). -5 Let c(b) = -b**2 - 5*b - 6. Let z(n) = -n**2 + n - 1. Let j(i) = -c(i) + 2*z(i). What is j(6)? 10 Let u(r) = 6 + 5 - 5 - 5*r. Calculate u(4). -14 Let b(j) = -4*j. Let z(k) be the second derivative of k**3/6 - 2*k. Let h(x) = 2*b(x) + 7*z(x). What is h(-3)? 3 Let o(y) = y**3 + y**2 + y. Let u(z) = 7 - 11*z + 2*z**2 - 2*z**3 + 0*z**3 - 3*z**3. Let v(k) = -4*o(k) - u(k). What is v(5)? 3 Suppose -32*l + 29*l + 15 = 0. Let r(b) = 2*b - 1. Give r(l). 9 Let p(b) = 7*b**3 - 2*b**2 + 2*b - 3. Let g(m) = -13*m**3 + 5*m**2 - 5*m + 7. Let o(r) = 4*g(r) + 9*p(r). Calculate o(1). 12 Let o = 20 - 20. Let i(x) = -x**2 + x - 8. Determine i(o). -8 Let n(s) = s**3 - 3*s**2 + 2*s - 2. Let p be n(3). Let m(t) = -1 + 0*t + t + p - 1. What is m(-3)? -1 Let o(j) = -j**2 - 6*j - 4. Let p be o(-3). Let k(q) be the first derivative of q**2/2 - 9. Calculate k(p). 5 Let s(c) = 3*c + 2. Suppose -2*o - o = -6. Suppose -k - 2 = o. Calculate s(k). -10 Let f(m) = m**3 - 7*m**2 - 4*m - 2. Let z(k) = 2*k**3 - 15*k**2 - 8*k - 5. Let y(t) = 7*f(t) - 3*z(t). Determine y(5). 6 Let c(m) = m**3 + 5*m**2 - 6*m + 4. Let q be c(-6). Let b(l) = 4*l - 9. Let n(k) = -2*k + 5. Let u
{ "pile_set_name": "DM Mathematics" }
d + 7 - 29 + 11. Let n(i) = t(i) - 2*w(i). Factor n(f). -2*f*(f + 1) Let t(m) be the first derivative of m**5 - 245*m**4/4 + 1395*m**3 - 30375*m**2/2 + 80190*m + 1755. Find i such that t(i) = 0. 9, 22 Factor -h**3 + 8*h**3 + 53*h**2 - 26*h**2 + 65*h**2 - 3*h**3 - 200*h. 4*h*(h - 2)*(h + 25) Suppose 75/4*u**3 - 75/4*u - 3/8*u**4 - 153/8 + 39/2*u**2 = 0. What is u? -1, 1, 51 Factor 35*f - 65/2 - 5/2*f**2. -5*(f - 13)*(f - 1)/2 Let l(d) be the third derivative of -d**4/8 + 7*d**3/3 + 16*d**2. Let f be l(4). Factor -s**3 + 2*s**4 + 93*s**f - 4*s**4 - 92*s**2. -s**2*(s + 1)*(2*s - 1) Let u(g) be the second derivative of g**5/110 + g**4/3 + 91*g**3/33 + 102*g**2/11 + 5*g + 574. Factor u(s). 2*(s + 2)*(s + 3)*(s + 17)/11 Let l(n) be the first derivative of 111 + 1/4*n**4 - 1/2*n**2 + 7/3*n**3 - 7*n. Find h such that l(h) = 0. -7, -1, 1 Let c be -11*1 + 313458/28480. Let p(z) be the third derivative of 0*z + 6*z**2 + 0 + 3/32*z**4 + 1/8*z**3 + 3/80*z**5 + c*z**6. Factor p(j). 3*(j + 1)**3/4 Let p = 1305660 + -3916976/3. Factor 0*f + 14/9*f**4 + 0*f**2 + 0 - p*f**3 - 2/9*f**5. -2*f**3*(f - 6)*(f - 1)/9 Solve 0*s**2 + 8*s**2 - 3303 + 2315 - 14*s - 6*s**2 = 0 for s. -19, 26 Suppose -3724*o + 2*n = -3729*o + 26, o + 3*n = 0. Let m(u) be the first derivative of -o*u**2 + 2*u**3 + 3/4*u**4 - 18 - 24*u. Suppose m(v) = 0. Calculate v. -2, 2 Let b(m) be the third derivative of m**5/80 - 115*m**4/2 - 1841*m**3/8 - 222*m**2 + 2*m + 12. Suppose b(i) = 0. Calculate i. -1, 1841 Find o such that -69/4*o**2 + 1/4*o**3 - 1280 + 336*o = 0. 5, 32 Let q = -7233 + 101263/14. Let b(i) be the second derivative of -1/98*i**7 + 0 + 0*i**3 - 35*i - q*i**6 + 45/28*i**4 + 3/28*i**5 - 162/7*i**2. Factor b(x). -3*(x - 2)**2*(x + 3)**3/7 Let b = -1080 - -1083. Let j(o) be the first derivative of 0*o + 0*o**b - o**5 + 6 + 5/4*o**4 + 0*o**2. Determine k so that j(k) = 0. 0, 1 Let z(r) be the first derivative of -17/4*r**2 - 289/4*r - 1/12*r**3 + 209. Solve z(p) = 0 for p. -17 Let f = -84 + 89. Let i(c) = -25*c**3 - 52*c**2 - 17*c + 5. Let o(n) = -37*n**3 - 79*n**2 - 26*n + 8. Let b(h) = f*o(h) - 8*i(h). Determine z so that b(z) = 0. -1, -2/5, 0 Let k(y) be the third derivative of y**8/240 - 821*y**7/1050 - 19*y**6/8 - 359*y**5/300 + 119*y**4/60 + y**2 - 151*y - 1. Suppose k(f) = 0. Calculate f. -1, 0, 2/7, 119 Let h(a) = 15*a**2 - 697*a - 290. Let u(x) be the second derivative of 7*x**4/12 - 349*x**3/6 - 73*x**2 - 4*x. Let o(s) = -3*h(s) + 5*u(s). Solve o(p) = 0. -2/5, 35 Let v be (4 - 141/33)*380/(-1482)*13. Solve 18/11*g**3 + 2/11*g**5 + 0 + 4/11*g - v*g**4 - 14/11*g**2 = 0 for g. 0, 1, 2 Let j(i) be the first derivative of 0*i - 5/6*i**2 - 14 + 5/12*i**4 - 5/9*i**3 + 1/3*i**5. Let j(d) = 0. What is d? -1, 0, 1 Let o(t) be the second derivative of -17/15*t**3 - 88*t + 0 + 19/30*t**4 - 2/5*t**2. Let o(z) = 0. Calculate z. -2/19, 1 Let t(q) be the first derivative of -19/7*q**2 + 18/7*q + 22/21*q**3 + 11 - 1/14*q**4. Factor t(y). -2*(y - 9)*(y - 1)**2/7 Suppose -123*x + 90 = -124*x. Let h be (3/(-12))/(15/x). Suppose 3*i**2 + h*i - 3*i**4 - 3/2*i**5 + 0 + 0*i**3 = 0. Calculate i. -1, 0, 1 Factor 81*u**3 + 3*u**5 - 54*u**2 - 2051*u**4 - 21*u + 21*u + 2021*u**4. 3*u**2*(u - 6)*(u - 3)*(u - 1) Factor 588 + 37*r**2 + 13*r - 33*r**2 + 579*r. 4*(r + 1)*(r + 147) Suppose 14 = 2*q + 3*w - 17, 22 = q - 5*w. Let i(s) = s**2 - 14*s + 8. Let p be i(q). Factor -20*u + 16*u**2 - 62*u**2 - 25*u**3 - p*u**2. -5*u*(u + 4)*(5*u + 1) Let t(h) be the first derivative of h**8/11760 - h**7/1176 - h**6/630 + h**5/42 + 80*h**3/3 - 146. Let x(u) be the third derivative of t(u). Factor x(m). m*(m - 5)*(m - 2)*(m + 2)/7 Suppose -3*o = z - 26, 0 = -5*z + 5*o + 1 + 49. Suppose i - 2 = -4*i - 2*u, -5*u = 3*i + z. Factor -4*g**2 - 2*g**i + 6*g**4 - 2*g + 6*g - g - 3*g**5. -3*g*(g - 1)**3*(g + 1) Let f(n) be the third derivative of n**6/80 - 17*n**5/40 + 6314*n**2. Factor f(u). 3*u**2*(u - 17)/2 Factor -11/2*y**5 - 1/3 + 65/3*y**4 - 95/3*y**3 + 20*y**2 - 25/6*y. -(y - 1)**4*(33*y + 2)/6 Suppose -13*f + 50 = -3*f. Factor 94 - 594 - f*i**2 - 26*i + 62*i + 64*i. -5*(i - 10)**2 Let k(w) be the first derivative of 150*w**3 + 690*w**2 + 1058*w + 403. Factor k(y). 2*(15*y + 23)**2 Let k(h) be the first derivative of 3*h**4/4 + 38*h**3 - 3*h**2/2 - 114*h - 3807. Determine a so that k(a) = 0. -38, -1, 1 Suppose 0 = -890*a + 103*a + 1574. Factor -2*z - 20/11 - 2/11*z**a. -2*(z + 1)*(z + 10)/11 Let k(n) be the first derivative of -n**4/36 - n**3/9 + 11*n**2/9 + 8*n/3 - 2035. Find q such that k(q) = 0. -6, -1, 4 Let d(r) be the first derivative of r**6/2520 + r**5/60 + 7*r**4/24 + 17*r**3/3 + r + 36. Let w(p) be the third derivative of d(p). Find l such that w(l) = 0. -7 Let y = 2/29699 - -29695/59398. Let z(n) be the first derivative of -y*n**2 - 1/6*n**3 + 4*n + 24. Factor z(v). -(v - 2)*(v + 4)/2 Suppose -4680*j - 906*j + 11172 = 0. Factor 1/3*u**5 + 100/3 + 23/3*u**4 + 163/3*u**3 + 320/3*u + 361/3*u**j. (u + 1)**3*(u + 10)**2/3 Let a(k) be the third derivative of 3*k**2 + 0 - 75/8*k**4 - 11*k - 125/3*k**3 - 1/24*k**6 - k**5. Solve a(q) = 0. -5, -2 Let b = 66006 + -264023/4. Find a such that 13/2 - 11/4*a - b*a**2 = 0. -13, 2 Let x(f) be the first derivative of -3*f**4/16 - 76*f**3/3 + 517*f**2/8 + 103*f/2 + 2782. Factor x(v). -(v - 2)*(v + 103)*(3*v + 1)/4 Let b(f) be the first derivative of f**7/126 - 2*f**6/15 + f**5/2 - 7*f**4/9 + f**3/2 - 41*f + 7. Let l(x) be the first derivative of b(x). Factor l(p). p*(p - 9)*(p - 1)**3/3 Let z = -51 + 55. Let x be 56/(-7)*(-10)/z. Factor 47*q + 5*q**2 - 7*q + x + 27 + 13. 5*(q + 2)*(q + 6) Let g be ((-36)/(-24) - (-14)/12)*15. Suppose -g*n + 6 = -38*n. Factor 3*k**2 + 0 - k - 13/4*k**n + 3/2*k**4 - 1/4*k**5. -k*(k - 2)**2*(k - 1)**2/4 Let o be ((0 + 7)*-1 + 31 + -30)/(-3). Let f(h) be the first derivative of -2/15*h**3 - 32/5*h + 31 - 8/5*h**o. Determine b, given that f(b) = 0. -4 Let j be ((-20)/12)/((-10)/12). Factor 4*b**4 + 95*b**j + 3*b**3 - 107*b**2 - 3*b**3 - 4*b**3 - 8 + 20*b. 4*(b - 1)**3*(b + 2) Let n = -240942 - -240948. Determine r, given that 0 + n*r**2 + 16/3*r + 2/3*r**3 = 0. -8, -1, 0 Let h(r) be the third derivative of -r**5/20 + 1759*r**4/4 - 3094081*r**3/2 + 2119*r**2 + 2*r. Factor h(d). -3*(d - 1759)**2 Let s be ((-28)/(-8) + -5)*2708/(-3). Suppose 0 = 5*k - s - 481. Solve 18*x**2 + 319*x - k*x + 32 - x**3 - x**3 = 0 for x. 1, 4 Let b(d) be the second derivative of -d**6/1800 + 19*d**5/600 + d**4/6 + 52*d**3/3 - d**2/2 - 2*d + 53. Let i(m) be the second derivative of b(m). Factor i(o). -(o - 20)*(o + 1)/5 Let g(h) = -h**2 + 2*h + 52. Let i be g(-6). Factor 0*q - 4 + 14*q - 5*q**4 - 12*q**3 - 2*q + 13*q**i - 4*q**2. 4*(q - 1)**2*(q + 1)*(2*q - 1) Let y = -30 - -29. Let a be 160/64 - 1*y/2. Factor -m**4 - 32*m - m**2 + 32*m - 2*m**2 + 4*m**a. -m**2*(m - 3)*(m - 1) Let x be (-252)/(-56) - (1/5)/((-12)/(-90)). Factor -33 - 129/2*s - 30*s**2 + 3/2*s**x. 3*(s - 22)*(s + 1)**2/2 Let j = -34/473 - -4294/7095. Let k(s) be the second derivative of 0*s**2 + j*s**4 + 3/10*s**5 + 4/15*s**3 + 9*s + 0. Factor k(f). 2*f*(3*f + 2)*(5*f + 2)/5 Let k be (10/(-516 - -6))/((-7 - -1) + 525/90). Find y such that -k*y**4 - 12/17*y + 0*y**3 + 0 + 14/17*y**2 = 0. -3, 0, 1, 2 Let z(i) = i**2 - i - 106. Let d be z(11). Let s be 9/((-18)/d) + (-2 - -6). Factor 108/7*w**2 + s*w**3 - 64/7 + 192/7*w. 2*(w + 4)**2*(7*w - 2)/7 Let z(g) = g**3 - 29*g**2 + 46*g - 500. Let j be z(28). Let w(a) be the second derivative of 2/9*a**3 - 23*a + 1/9*a**j + 0 + 0*a**2. Let w(m) = 0. Calculate m. -1, 0 Suppose 2 - 14 = -4*o. Suppose 0 = 3*x + 4*p - 21, 4*x + 0*p + o*p = 21. Factor 2*k + 0*k**3 - x*k**3 + 3*k**3 - 4*k**2 + 2*k**3. 2*k*(k - 1)**2 Let c = 160 + 224. Let b = -381 + c. What is u in 0*u - 33/8*u**2 + 3/2 - 3/4*u**4 - 27/8*u**b = 0? -2, -1, 1/2 Suppose -17972 = -33*p - 17873. Factor -3/5*x**p - 1/5*x + 0 + 4/5*x**2. -x*(x - 1)*(3*x - 1)/5 Let h = 872009 + -872006. Let -1 + z**2 + 1/8*z - 1/8*z**h = 0. Calculate z. -1, 1, 8 Let f(d) = -6*d**3 + 28629*d**2 + 22752909*d + 6029518500. Let c(m) = -m**3 + 7157*m**2 + 5688227*m + 1507379625. Let i(s) = 9*c(s) - 2*f(s). Factor i(z). 3*(z + 795)**3 Suppose 4*m = f + 4, -5*m = -f - 2*f + 2. Factor 210*w + 11*w + 2*w**m + 8014 + 67*w + 2354. 2*(w + 72)
{ "pile_set_name": "DM Mathematics" }
ositive. r**(-87) Simplify (a/a**(2/11))**(-14)*((a**(2/7)*a*a)/a)**(17/4) assuming a is positive. a**(-1845/308) Simplify ((m*m**22)/m*m*m/(m*m*m**(7/3)/m))**(-15/7) assuming m is positive. m**(-310/7) Simplify (((p**(-14))**(-1))**(-1/6))**(8/15) assuming p is positive. p**(-56/45) Simplify (i*i/(i*i*(i*i**(1/14))/i*i)*i*i*i**(1/19))/(i*i/((i*i**(1/24)/i*i)/i)*i**(10/7)/i) assuming i is positive. i**(-641/456) Simplify (a/((a**(4/5)*a)/a))**(2/27)*(a/a**(-11))/(a*a**(2/29)) assuming a is positive. a**(42853/3915) Simplify ((m/m**(5/7))/((m*m**(1/11))/m))/(m**(3/4)*m*m**(-4/11)) assuming m is positive. m**(-367/308) Simplify ((v*v**(-13)/v)/v)**(2/39)/((v*v/((v*v/v**(-1/5)*v*v)/v)*v)/(v*v/(v/v**(-3)*v))) assuming v is positive. v**(-686/195) Simplify ((f*f**(3/16))**(2/97))**(-15) assuming f is positive. f**(-285/776) Simplify (z*z**(-12))/(z*z**(-5))*(z**(-1/5)*z)/((z*z*z**7)/z*z*z) assuming z is positive. z**(-81/5) Simplify ((x*x**(-4/3))**(-25))**(-11) assuming x is positive. x**(-275/3) Simplify (((r/(r*(r**(-9/5)*r)/r*r)*r)/r)**35)**(1/27) assuming r is positive. r**(28/27) Simplify x/x**(-25)*x*x*x/(x*x**(9/4))*((x*x**26*x)/x*x)**17 assuming x is positive. x**(2007/4) Simplify ((d*d**(-7)*d*d*d*d*d)/d**(-4/3))/(d*d*d*d*d**12*d*d*d*d*d/(d**8*d)) assuming d is positive. d**(-35/3) Simplify (i/((i/(i/(i*i*i**(1/2))*i))/i*i*i))**(-2/141)/(i**(-5))**(-49) assuming i is positive. i**(-11514/47) Simplify ((s**(-7)*(s/(s*s*s**(-1))*s)/s)/(s*s**(1/2))**2)**(-4/11) assuming s is positive. s**(40/11) Simplify (s**(8/9)/(s/(s/s**(5/4)*s)))/(((s/((s/(s**(5/6)*s))/s))/s*s)/(s**(2/9)/s)) assuming s is positive. s**(-107/36) Simplify ((p*p**(-2/5))/p**9)/((p/(p/p**(-2)))/p*p**(-1)) assuming p is positive. p**(-22/5) Simplify ((i*i**(4/3))/i)**(1/4)*(i**(-4/3)*i)/(i*i/i**(2/11)) assuming i is positive. i**(-20/11) Simplify b**(-2/35)*b**(-1/13)/b*(b**(2/9))**(22/7) assuming b is positive. b**(-1784/4095) Simplify ((y**8/y)/(y/y**(-1/5)))/((y/((y/y**(-1/5))/y))/(y/y**(-3/5))) assuming y is positive. y**(33/5) Simplify t**(2/13)*t*t*(t*t**14)/t*(t/t**(-3/10))/t**(-1/23) assuming t is positive. t**(52317/2990) Simplify (d**(1/6))**(9/4)/(((d/d**(1/5))/d)/(d/((d*d**(-1/15)/d*d*d)/d*d))) assuming d is positive. d**(-43/120) Simplify ((m*m*m/(m**7/m))/m**13)/((m**15/m)/(m**(-6)*m)) assuming m is positive. m**(-35) Simplify (j**(-1/12))**43*(j/(j*j**(2/69)/j)*j*j)/(j*j**7) assuming j is positive. j**(-2377/276) Simplify (u**30*u**(-2/19)/u)**43 assuming u is positive. u**(23607/19) Simplify (c/(((c/c**(-1))/c)/c)*c)/c*c/(c**(-1/4)/c)*(((c**(2/11)/c*c)/c)/c)**(-17) assuming c is positive. c**(1503/44) Simplify (r**(2/47)/(r*(r**21/r)/r*r))/((r/(r/(r**23/r)))/(r*r*r**(-3)*r*r)) assuming r is positive. r**(-1972/47) Simplify (o/o**(1/9))**(12/13)/(o/(o**(5/4)*o)*o**(-4)) assuming o is positive. o**(947/156) Simplify ((o/(o**(-8)*o))/o*o*o/(o*(o/o**12*o*o)/o*o)*o*o)/(o*o**(-12)*o*o*o/(o*o**(-7))) assuming o is positive. o**21 Simplify ((k*((k*k**5)/k)/k*k*k)/(k*(k/(k**4*k*k))/k))**(3/25) assuming k is positive. k**(36/25) Simplify ((m/((m*m**32)/m*m))/(m**(-12/5)/m))**(8/11) assuming m is positive. m**(-104/5) Simplify (y**16*y/((y**(-4/15)/y)/y))/(y**(-1/9)/y)**(4/13) assuming y is positive. y**(11471/585) Simplify ((z/(z*z**21))/(z*z*z**17))/(z*z**7)**16 assuming z is positive. z**(-168) Simplify (g**(5/8)/g)/g**(1/12)*g*g/(g/(g*g**(-4/3)))*g*g*g**(-1/8) assuming g is positive. g**(25/12) Simplify ((p**0)**42*p/(p/(((p/(p**(2/15)/p))/p)/p))*p*p*p**2)**(4/9) assuming p is positive. p**(232/135) Simplify ((j**(-1/3))**(5/6)/((j**(3/4)/j)/j**(1/2)))**(-1) assuming j is positive. j**(-17/36) Simplify ((((y*(y/y**(1/6))/y*y)/y)/y*y*(((y**9/y)/y)/y)/y*y*y*y)/(y**(1/2)/(y/(((y/(y/y**8)*y*y)/y*y)/y))))**(29/3) assuming y is positive. y**(29/9) Simplify ((z**2*z)/(z/((z*z**(-2)*z*z)/z)*z)*z/(z/(z**2/z)*z)*z*(z**(-3/7)*z)/z)**47 assuming z is positive. z**(517/7) Simplify ((f**9*f*f)/f**11)/(f**(-7))**(-1/49) assuming f is positive. f**(-1/7) Simplify (k**13/k*k*k**12*k*k)/(k/k**(-2/9)*k**(-11)*k) assuming k is positive. k**(322/9) Simplify (s*s**(-3)/s)**(-17/3)*s**(-4/11)*(s*(s*s/(s/(s*s/s**(1/8))))/s)/s assuming s is positive. s**(1629/88) Simplify (o/(o**(-1)*o))**(2/25)/(o**(-2/51)/o**8) assuming o is positive. o**(10352/1275) Simplify ((z*z**(-1)/z)**(-2/17)*z*z*z*z**(-3/5)*z**(-6)/z)**(-30) assuming z is positive. z**(2286/17) Simplify ((c*c**(-4))/c**(-5/6))**23 assuming c is positive. c**(-299/6) Simplify (g**(-10/3))**1*(g/((g/g**(-2/7))/g))**(-1/61) assuming g is positive. g**(-4285/1281) Simplify (((((y/y**(-3/8)*y*y*y)/y)/y)/(y*(y**(1/12)/y)/y*y*y))/((y/y**(-1/4))/y)**48)**(-2/15) assuming y is positive. y**(257/180) Simplify (((d**2)**(-2/41))**17)**43 assuming d is positive. d**(-2924/41) Simplify ((u/u**3*(u*u*(u*u**(5/6)*u*u)/u*u*u)/u)/(u**(-5)*u*((u/((u/(u/u**(1/5)*u))/u))/u*u*u)/u))**(-4/5) assuming u is positive. u**(-302/75) Simplify ((s/s**(-1/2))**(4/9)/(s**(3/2)*s*s**(-3/2)))**(-8/7) assuming s is positive. s**(8/21) Simplify (((c/(c/((c/(c*c**(2/35)*c))/c)))/c)**(1/17))**(-3/2) assuming c is positive. c**(321/1190) Simplify (p**(-11)*p*p*p**(-5/7))/((p**16/p)/((p*p**(-4/15))/p)) assuming p is positive. p**(-2623/105) Simplify (o*(o/(o**(-3)*o))/o*o)**(-38)/(o**(2/7)*o**(-2/39)) assuming o is positive. o**(-41560/273) Simplify ((j**0)**(1/17)/(j/(j/j**2*j*j))**15)**(-2/19) assuming j is positive. 1 Simplify ((x/(x/x**0))**(-20)*(x*x**7)/(x/(x*(x*x/(x/x**(-2/15))*x*x*x)/x*x*x)*x*x))**(-1/25) assuming x is positive. x**(-163/375) Simplify ((w*(w*w**(-2/3))/w*w*w)**43*(w**0/w)**(-2/13))**(-17) assuming w is positive. w**(-66623/39) Simplify ((g/g**(-1/7)*g*g)/(g/((g**(2/23)*g)/g)))/((g*g/(g**5/g))/(g**(-6/5)/g)) assuming g is positive. g**(1634/805) Simplify (h**7*h*h**7)/(h*h/(h*(h*(h*h*(h**(-1/10)/h*h)/h)/h)/h))**10 assuming h is positive. h**4 Simplify (((m**(-17)/m)/m*m/(m**3/m))**(-1/9))**(-39) assuming m is positive. m**(-260/3) Simplify (y**(-3/5)/y*y/(y/(y/((y**(-2)*y)/y)))*((y**(-9)/y)/y)/y**4)**(-23) assuming y is positive. y**(1564/5) Simplify (o/((o*o**7/o*o)/o))**43/(o**21*o**(-2/47)) assuming o is positive. o**(-13111/47) Simplify ((f*f**(-4))/f*f/((f*f**(2/13)*f)/f)*f*f*f**(-4)/f*f/(f*(f/(f/(f*f**(-6)*f*f)))/f))**(-2/25) assuming f is positive. f**(82/325) Simplify ((h**(-1))**(-18)*(h**(2/7))**(2/17))**2 assuming h is positive. h**(4292/119) Simplify (d**(-5/7)*d/(d*(d**(1/6)/d)/d))/(((((d/d**(3/10))/d)/d*d)/d*d)/d**(-1)) assuming d is positive. d**(44/105) Simplify ((a**12/a*a/a**(2/7))/((a**3/a)/a*a**(3/2)*a))**18 assuming a is positive. a**(1035/7) Simplify (o**(2/9))**(-1/17)*(o/((o/(o/(o*o/((o*o**(-1/3)/o)/o))))/o))**(-40) assuming o is positive. o**(8158/153) Simplify ((g**(-5)/g)/(g**(-14)/g))/((g/(g*g/g**(-26)*g))/g*g**(-18)/g) assuming g is positive. g**57 Simplify v**(-10/9)*v*v**(2/13)*v**(9/5)*v**13 assuming v is positive. v**(8683/585) Simplify (k**(1/4)*k)**37*k*k**(-2/9)*k**(21/4) assuming k is positive. k**(941/18) Simplify (t/(t*t/(t/(t*t**(8/3)*t*t)*t))*t*t*t*(t/(t**(-4/5)*t))/t*t)/(((t/(t*t**(-20)/t))/t*t)/t**23) assuming t is positive. t**(17/15) Simplify n/n**(-17)*n/((n/n**(-3))/n)*n**(-9)*n*n*n*n*n/n**(-1/10)*n*n assuming n is positive. n**(141/10) Simplify (x**17*x**(-7))**(1/69) assuming x is positive. x**(10/69) Simplify (v*v/v**14*v**18)/(v**(2/23))**(-5/4) assuming v is positive. v**(281/46) Simplify (v/(v*v**(3/4)))**(-16/11)*(v**(-1/18))**(-3/2) assuming v is positive. v**(155/132) Simplify n**(-40)/n*n/n**(7/2)*(n**(-6)*n*n*n)**(-4/19) assuming n is positive. n**(-1629/38) Simplify ((u*u/(u/u**29)*u**(8/7)*u)**32)**(-1) assuming u is positive. u**(-7200/7) Simplify ((l*l**0)/(l**(-1/24)*l))/((l/((l**0/l)/l)*l)/(l*l**(-2/7))) assuming l is positive. l**(-545/168) Simplify (z**(-1/6))**22*(z/z**(1/16))/(((z/(z/z**34))/z*z)/z) assuming z is positive. z**(-1715/48) Simplify (v**(-12/5)*v**3*v)/(v**(-2/7)*v*v**2) assuming v is positive. v**(-39/35) Simplify (((x/(x**1/x*x*x))/x)/(x/(x*x*x*x/(x**4*x))))/((x/x**(-2/7))/(x/(x*(x*x**5)/x))) assuming x is positive. x**(-72/7) Simplify (b**(-1/7))**16*(b/b**(2/7))**(-8) assuming b is positive. b**(-8) Simplify (v*v/(v**(2/19)*v)*v*v*(v/v**(1/20)*v)/v)/(v**(2/4
{ "pile_set_name": "DM Mathematics" }
- -16 -10278.8750703 What is the difference between 8757.29 and 89427? 80669.71 What is 788096.724 - -0.629? 788097.353 What is 60.560891029263 take away -4? 64.560891029263 What is -625.3511 less than 4261? 4886.3511 Add together -0.81743524627 and -5.2. -6.01743524627 0.1+-54101102531.421 -54101102531.321 Add 17 and 5088.415580862. 5105.415580862 What is -239.65426351077 take away 2? -241.65426351077 Work out -15.8 - 245332122069. -245332122084.8 Sum -1568039 and -109479.9. -1677518.9 Calculate -50254022 + 0.004621. -50254021.995379 Add -2344884745 and -14. -2344884759 What is -139252 minus 9.72043? -139261.72043 3589.22512741 + 2.48 3591.70512741 -22.475 - -298590612 298590589.525 2241294916+1.05 2241294917.05 What is -0.03985 - 239140205? -239140205.03985 What is -118560800055 + -2.6? -118560800057.6 What is -174027.81064 plus 0.847? -174026.96364 What is 2 plus -886325.9651095? -886323.9651095 Sum -6 and -19.427078447. -25.427078447 -0.1517+15165747.6045 15165747.4528 Work out -2123 - 1989968258. -1989970381 Add 8 and 0.8896596456. 8.8896596456 Subtract 1235 from -4052284073. -4052285308 What is 15628322 - 20277211? -4648889 What is -13414 plus 9288.9919? -4125.0081 What is -575156.9 minus -0.0338871? -575156.8661129 Add 1.86 and 172091977591. 172091977592.86 Subtract -33660 from -38963.3. -5303.3 Total of 53173841 and 714. 53174555 Sum -17964970.62 and 1227. -17963743.62 What is -129407 take away 1111682? -1241089 Work out -0.028 - 19730754385. -19730754385.028 Work out 2345883457 + -11. 2345883446 Add together -8187746 and -34.18208. -8187780.18208 Add 3 and -1648600.627872. -1648597.627872 What is -0.01 less than 1647440752040? 1647440752040.01 What is -17626608 + 0.93054? -17626607.06946 Add together -0.17388036 and -124217. -124217.17388036 Put together 271 and -5421448017.3. -5421447746.3 Add together 902 and -863.340179. 38.659821 Add -5.058560238188 and 1. -4.058560238188 Add together 330673075.8428 and 0.5. 330673076.3428 Total of 82719 and 3023.402. 85742.402 What is -9709265684.5 take away -606? -9709265078.5 Add together -11020938.707 and 49.9. -11020888.807 Work out 21794115999 - 1.5. 21794115997.5 What is 0.09 - 818701596788.91? -818701596788.82 What is -49366010 take away -2015? -49363995 What is 80435067 + 18447.359? 80453514.359 What is the distance between 103.8749327 and 14018? 13914.1250673 62.25375 + -171531 -171468.74625 What is 807 - 58968278236? -58968277429 What is -749.7633594 less than 31? 780.7633594 What is -1415400719 - 42? -1415400761 58534454763+-0.06 58534454762.94 Calculate -1992891 + 14434. -1978457 Put together -1219.0661 and -69948. -71167.0661 43706 + 22793612 22837318 Work out -14176767 + 12341. -14164426 Put together 812 and -617689591. -617688779 Work out -0.01 + -1938056015755. -1938056015755.01 What is the distance between 1425.52 and -4779171? 4780596.52 250.8008855+3089 3339.8008855 What is -148 - -166994.227182? 166846.227182 Sum 542 and 212805344. 212805886 Put together -4271 and 0.3790046. -4270.6209954 242674178 - -134086 242808264 -29780792.4889+-2 -29780794.4889 Calculate -0.02 + 0.00588674852381. -0.01411325147619 49.36310286 - 637 -587.63689714 Work out 1.37 + 790252504. 790252505.37 Subtract -3.03486929618 from 0.39. 3.42486929618 What is the difference between -24864623673 and -10? 24864623663 Put together 12733752 and 33.04691. 12733785.04691 Add together 0.09 and 528625084456. 528625084456.09 What is the distance between 7053.552347 and 16.22? 7037.332347 What is -46985901595.5 - -3? -46985901592.5 -0.4+449929774163.321 449929774162.921 Work out 189.8446596809 + 10. 199.8446596809 Calculate -538350929 + 84241. -538266688 0.1 + -964452889184 -964452889183.9 Work out -2429130836 + 66. -2429130770 What is the distance between 1119404690756 and -0.03? 1119404690756.03 Calculate -28195099.99 - 145.1. -28195245.09 Put together 2 and -28570527218480. -28570527218478 Add 2924423 and 333737. 3258160 What is 7955389 plus 7220? 7962609 What is the distance between -414507 and 470236? 884743 What is 28055.287 minus -32.1? 28087.387 What is the distance between -0.4 and 0.130189786396817? 0.530189786396817 Sum -24525.81187362 and 3. -24522.81187362 What is -112323546159 minus 18.05? -112323546177.05 Sum -581312 and 249747. -331565 Work out -4852 + -106407991. -106412843 Calculate 150685 - -1361823. 1512508 What is 43854.00581 - 0.043108? 43853.962702 Calculate -2177390645895 + 0.1. -2177390645894.9 -491.1 + -9092.889679 -9583.989679 Subtract -0.77 from 0.0505291225. 0.8205291225 Sum 42433.97594 and 3.129. 42437.10494 Total of -57766637.2 and -9547. -57776184.2 Put together -5 and -16312239435312. -16312239435317 What is 0.747653907065 take away 21? -20.252346092935 Calculate 22 - -20295027238635. 20295027238657 Sum 14.3084 and -1700548. -1700533.6916 What is 11970 - 1422714860? -1422702890 Add together 2009 and -97.696267. 1911.303733 What is the difference between 53.6603298271 and 0.68? 52.9803298271 What is 45997497 less than 260.3? -45997236.7 9402 - 101234.098 -91832.098 Calculate -746003071 - 111772. -746114843 Sum -993112791590 and 588. -993112791002 Work out 935 - -1161342066571. 1161342067506 Subtract 28227 from -996946. -1025173 What is -8282713081790 minus 14? -8282713081804 Work out 1.447625 - 116.279717. -114.832092 Calculate -32 + 2682948406. 2682948374 Put together -0.051 and 39.2876616645. 39.2366616645 What is 902842736058 plus 0.5? 902842736058.5 What is 19.28 less than -1387342896? -1387342915.28 0.117445 + -1156724745 -1156724744.882555 -0.04767 - -8952696602 8952696601.95233 What is -2742.62 minus 31.5401? -2774.1601 What is 24956.742182632 take away -5? 24961.742182632 Add together -0.301 and -13.14857092925. -13.44957092925 740900613979 + -11.7 740900613967.3 -567091+-88185295 -88752386 Sum -188636 and 38.373813. -188597.626187 What is -103505945344 - -2982? -103505942362 10511381+-2761.232 10508619.768 0.027 + -4398165288 -4398165287.973 Sum 1285 and 8793502988. 8793504273 2303471.59 + 23.7866 2303495.3766 What is 316527 minus 81.7654? 316445.2346 Add together 2235 and -1442978228. -1442975993 Subtract 0.13 from -123431174657. -123431174657.13 What is 36751584.04 less than -5.9? -36751589.94 What is 114973.5426845 take away 27.1? 114946.4426845 Subtract 296410170 from 1093606. -295316564 Add together 0.3419 and 712305650. 712305650.3419 What is 58.6 take away -33977841552? 33977841610.6 What is -632920071671 minus -1? -632920071670 Calculate 522907 + 0.055458161. 522907.055458161 0.5+1889489.8313301 1889490.3313301 Sum -11682961533 and 0.6. -11682961532.4 What is -432 + -5957505148? -5957505580 Add -0.862217 and -703574. -703574.862217 Sum 9894489165 and -2092. 9894487073 Calculate -1 + -953124664116. -953124664117 -3.5884 - -1051411 1051407.4116 What is -393844837907 plus 40? -393844837867 Sum -0.22 and 1446914046. 1446914045.78 What is 2115700.9 - 62378? 2053322.9 What is 19458720890.7 - -1? 19458720891.7 What is 3854094397 less than -0.27? -3854094397.27 What is -5149 take away 5.04625765? -5154.04625765 0.31+-8878938.7618 -8878938.4518 Put together 0.3 and -4694138.34344. -4694138.04344 What is -158751034 - 0.02878287? -158751034.02878287 What is -37563475 + 535? -37562940 Subtract 40.778 from 2482965143. 2482965102.222 Work out 1 - -4629253705.1235. 4629253706.1235 Calculate 534974548.7322 - -0.4. 534974549.1322 Calculate 0.148587 - -4862.29217. 4862.440757 What is the distance between -1226391095 and 5397.7? 1226396492.7 What is the distance between 0.146 and 447718388218? 447718388217.854 Subtract 102 from 0.1890787834. -101.8109212166 Work out 5.614184 - 6.994. -1.379816 Subtract 1.1605432 from -68688. -68689.1605432 Total of -4 and 1981051134654. 1981051134650 Total of 1405871 and -122168057. -120762186 2.026161 + 182.5206 184.546761 What is -890856.502 + 1.362? -890855.14 What is -154083836.64 plus 2660? -154081176.64 -38959 + -471813.764 -510772.764 Sum 1787365299.5 and -49.6. 1787365249.9 Total of -13.1 and -5.69586998. -18.79586998 What is -2 take away -133063526519661? 133063526519659 Add together 1.67 and -4441908892. -4441908890.33 What is 0.626726 + 1116074101? 1116074101.626726 -0.5+262.674024723 262.174024723 37723044688 + 5.382 37723044693.382 Su
{ "pile_set_name": "DM Mathematics" }
0, a, 2 Suppose -5*i = -2 + 17. Let c(h) = -h**2 - 3*h + 4. Let o be c(-4). Sort 3, o, i in decreasing order. 3, o, i Suppose -x + 1 - 4 = 0. Let c = 2/19 - 56/171. Sort 2, x, c in decreasing order. 2, c, x Suppose -75 - 10 = 17*v. Sort 0, -3, v in decreasing order. 0, -3, v Let j = -1 - -2. Let r be j/2 + (-18)/(-4). Suppose 3*u + u = -20, 2*q + r*u + 17 = 0. Put q, -5, 2 in ascending order. -5, 2, q Suppose 9*c - 3 = 10*c. Sort -0.2, 5, c in ascending order. c, -0.2, 5 Let y = 84 + -84. Let p be 10/(-45) - (-86)/306. Put y, p, -2 in decreasing order. p, y, -2 Let r be 4/((-32)/(-21)) - 3. Let j = -1.1 + 1.1. Put 1, j, r in decreasing order. 1, j, r Let s = 19.9 + -20. Put s, 17, -1/3 in descending order. 17, s, -1/3 Let p = -4 + 7. Let t be ((-2)/(-1 + p))/(-3). Let f = 0 - 4. Sort 1/4, t, f. f, 1/4, t Let c = 8 - -12. Suppose -2*a + 7*a = -c. Put 3/5, a, 3/4 in ascending order. a, 3/5, 3/4 Let b be (-26)/(-52)*18/(-5). Let z = -4 - -7. Put 1/3, b, z in ascending order. b, 1/3, z Suppose -5*i = -x - 14, 0 = 4*x + x + 2*i - 11. Let p be (-1 + -1)*(x - 2). Put p, 1, -3 in decreasing order. p, 1, -3 Suppose 3*c = -c + 8. Let u be 0/(2 - 1 - 3). Put u, 4, c in descending order. 4, c, u Let h(y) = 3*y + 10. Let w be h(-4). Sort w, -5, -0.1 in increasing order. -5, w, -0.1 Let h = 2/11 - -38/33. Suppose -p - 20 = -0*x + 4*x, -2*p - 3*x - 15 = 0. Put 1/2, p, h in descending order. h, 1/2, p Let q = -22 + 25. Let a = -3 + 0. Let w(f) = -3*f + 24. Let k be w(8). Sort a, q, k in ascending order. a, k, q Let q = -4 - -4.05. Let w = q - -4.95. Put 2/9, w, -0.3 in increasing order. -0.3, 2/9, w Let g be (-2)/((-6)/3)*2. Let j(m) = m**2 - 5*m - 3. Let l be j(6). Let k = l - -1. Sort g, k, -5 in ascending order. -5, g, k Suppose 0*t = 4*t - 20. Suppose -t - 10 = -5*c. Sort 2, 0, c in descending order. c, 2, 0 Let h = 12.56 + -1.16. Let z = -11 + h. Put 2, -5, z in ascending order. -5, z, 2 Let k = 12 + -10. Let h(v) = -v + 1. Let f be h(2). Put k, f, -5 in decreasing order. k, f, -5 Let l = -0.5 + 0.4. Let f = l + 0.2. Let a = -4.9 - f. Sort -3, 0.5, a in decreasing order. 0.5, -3, a Let c(a) = a + 4. Let s be c(-3). Suppose 4 + 2 = -2*u. Let p be -9*(u + (-30)/(-9)). Sort s, p, -5 in decreasing order. s, p, -5 Let d(w) = -w**3 - w. Let q be d(-1). Let m be (-4 + 3)*(-4)/28. Put 4, q, m in descending order. 4, q, m Let k(t) = 5*t + 56. Let f be k(-11). Put -24, -2, f in decreasing order. f, -2, -24 Suppose 2*c = 6*c + 2*f + 2, -4*f = -2*c - 26. Let d be (32/(-4))/2*(-2)/8. Sort c, -5, d. -5, c, d Suppose -2*d + 5 = -7. Suppose -4 = 2*k, 2*k = 4*h + 3*k - 2. Sort h, 0, d in ascending order. 0, h, d Suppose u + 2*o = 5 + 7, 0 = 4*u + 5*o - 33. Suppose -i - u = -2*k, 2*k - i - 1 = -k. Put -2, k, 4 in decreasing order. 4, k, -2 Let i = 1 + -1. Let a be 2 - (1 + (-10)/(-6)). Sort i, 7, a in descending order. 7, i, a Suppose -n + 6 - 2 = -2*t, -3*t + 5*n = -1. Let c be (4/(-5))/(t/(-15)). Put -5, 5, c in descending order. 5, c, -5 Let f be ((-80)/88 - -1)/(0 + 1). Sort f, 2/7, -1/6, -0.2 in decreasing order. 2/7, f, -1/6, -0.2 Suppose -3*a + 121 = 10. Let k = 184/5 - a. Let j be 9/12*8/36. Sort k, j, 4 in decreasing order. 4, j, k Let v be ((-10)/4 - -2)*2. Let l = -12 + 12. Suppose l = q + 2*d - 5, 16 = 2*q - 4*d + 6. Sort v, 4, q in decreasing order. q, 4, v Let z = 1 - 4. Let c = 0.2 + 0. Sort 2/7, c, z in increasing order. z, c, 2/7 Let z(m) be the first derivative of m**4/4 + 2*m**3/3 - m**2/2 + m + 3. Let g be z(-2). Sort 5, -3, g in descending order. 5, g, -3 Let j be ((-16)/40)/(13/5). Sort 0.1, 2, j. j, 0.1, 2 Suppose -3*r + 2*i - 4*i - 10 = 0, r = -i - 5. Put r, 4, -2 in decreasing order. 4, r, -2 Let n(b) = -5*b - 8. Let i be n(-2). Put 0, -2, i in increasing order. -2, 0, i Let c = -32 - -33.95. Let n = c - 1.9. Put 2/11, n, -5 in increasing order. -5, n, 2/11 Let p = 3 + 1. Suppose -p*i + 2*i + 10 = -h, -2*i = -8. Let f be (h/(-4))/(10/40). Put f, 0, 5 in increasing order. 0, f, 5 Let g = 0.2 + -0.2. Suppose 3 = 2*z + r, -5 + 2 = -z - 2*r. Let c = 0.5 + -2.5. Put c, z, g in decreasing order. z, g, c Suppose -5*x = -r - 4 - 4, -2*x = -2*r - 8. Suppose 0*y - n - 6 = -2*y, 4*n - 36 = -4*y. Let g = y + -9. Sort g, r, -1 in ascending order. g, r, -1 Let s = 0.289 - 0.289. Let r = -7 + 2. Let g = -2 + 0. Put s, g, r in ascending order. r, g, s Let n = 112 - -37. Suppose -5*x - r = -n, x + 2*r + 0*r - 28 = 0. Suppose 11 = v - 2*c, x = 5*v - 2*v - 5*c. Put 3, v, 1 in descending order. v, 3, 1 Suppose 3*a = -10*a. Put a, 1, 2, -1 in ascending order. -1, a, 1, 2 Suppose b - 3 = -8. Sort b, 0, -2 in ascending order. b, -2, 0 Suppose 0 = -16*w - 0*w. Put w, 20, 2 in descending order. 20, 2, w Suppose 0*j = 2*j - 10. Let n = -2 + 4. Suppose n*r = -3 + j. Put -4, r, 0 in descending order. r, 0, -4 Let v = -451 - -455.03. Let w = v + -0.03. Let g = -3.03 + 1.03. Put -0.2, g, w in descending order. w, -0.2, g Suppose 0 = -4*c + t + 13, -2*t = 2*c + 3*t - 23. Suppose -y - c*y - z = 11, -3*y + 2*z = 4. Let u = -0.3 - -0.3. Sort u, -5, y in descending order. u, y, -5 Let k = -13 - -18. Suppose 5*n = 12*n + 28. Put k, -2, n in decreasing order. k, -2, n Let m be (0/(-8))/((-2)/(-1)). Put -2, -4, m in descending order. m, -2, -4 Let n = 43 + -44. Sort -4/7, n, 0. n, -4/7, 0 Let d be (24/9)/4*-3. Let z = d - -7. Let i(x) = x**2 + 3*x - 3. Let g be i(-4). Put z, g, 3 in increasing order. g, 3, z Let r(a) = -2*a**3 - 3*a**2 + 3*a - 1. Let x be r(2). Let m = x + 26. Suppose 10 = 4*q + 2*y, 5 = -2*q - 2*y - y. Put m, q, -3 in descending order. q, m, -3 Let c = -4.061 + 0.061. Sort -1, c, -16, 5 in descending order. 5, -1, c, -16 Let r(y) = 2*y + 29. Let t be r(-12). Sort t, 4, -5. -5, 4, t Let n = -19 + 23. Sort 0, n, -3. -3, 0, n Let l(r) be the third derivative of -r**6/120 + r**5/12 + 5*r**4/24 + r**3/6 + 2*r**2. Let s be l(6). Let z = s + 7. Put -2, -0.4, z in ascending order. -2, -0.4, z Let m = 0.17 + -8.17. Let k = -7.8 - m. Let w(x) = -2*x - 3. Let s be w(-3). Sort s, k, 2 in decreasing order. s, 2, k Let x(v) = v - 3. Let q be x(7). Let j be 20/15*(-1)/q. Sort -1, j, 3 in increasing order. -1, j, 3 Let q be (15/(-9))/(1/(-3)). Put 4, q, -2 in ascending order. -2, 4, q Let q(z) = 3*z**2 - 2*z + 4. Let n(l) = -5*l**2 + 5*l - 8. Let a(s) = 4*n(s) + 7*q(s). Let j be a(-7). Suppose 0 = -0*m + 3*m - 12. Sort j, -3, m. -3, j, m Let x = -35 - -31. Sort -2, 5, x. x, -2, 5 Let p be (2/10)/((-10)/25). Suppose 1 = 3*c + 2*v, -4*c + v - 3 - 3 = 0. Put p, c, 1 in decreasing order. 1, p, c Suppose -z = -k - 4, 0*k + 2*k - 6 = -5*z. Let b be (-8 + 4)*k/4. Put b, -2, -4 in decreasing order. b, -2, -4 Let o be 7 - (-2 + 8 - 3). Suppose -2*z = -z + 4. Sort 5, z, o in ascending order. z, o, 5 Let f be (-4 - -3 - -5) + 0. Put 4/7, f, -0.2 in increasing order. -0.2, 4/7, f Suppose 3*y = -4*i - y - 20, i = y + 3. Let r = i - -3. Suppose r = j - 2. Put 1, -1, j in decreasing order. j, 1, -1 Suppose -5*n - 35 = 4*f, n + 6 = -n. Put -4, f, 0 in decreasing order. 0, -4, f Let j = 0.2 - 0.16. Let c = j + 0.26. Let h be (-5)/(-9) - 4/18. Sort h, 2, c in increasing order. c, h, 2 Let z(u) = -u - 11. Suppose 0 = 3*t - 4*t - 7. Let b = t + -2. Let w be z(b). Sort w, -1, -3 in ascending order. -3, w, -1 Let b = -0.42 - 0.08. Sort 0.1, -2/11, b in decreasing order. 0.1, -2/11, b Let m(x) = x**3 + 3*x**2 + x + 5. Let h be m(-4). Put 0.1, -5, h in decreasing order. 0.1, -5, h Suppose 0 = -5*n - 4 - 21. Let r(w) = -w**3 - 11*w**2 - 9*w + 10. Let t be r(-10). Put t, 4, n in descending order. 4, t, n Let i be (-6)/1*(-1)/2. Suppose 7*g = 40 - 5. Sort i, g, 4 in increasing order. i, 4, g Let m = 5.6 - 3.6. Sort 3, m, 22. m, 3, 22 Let x(i) = -3*i**2 + i**2 - 3*i + 3*i**2 - 3 + 9*i. Let t be x(-7). Sort -4, t, 5 in decreasing order. 5, t, -4 Let q = -100 + 98. Sort 1, 4, -2/3, q in ascending order. q, -2/3, 1, 4 Let n be -1*1*0 - 0. Suppose 14 = -f - 2*w, w - 6 = 3*f + 1. Let r = -2 - f. Put -4, r, n in descending order. r, n, -4 Let d = -20 - -16. Sort d, -2/13, -5 in ascending order. -5, d, -2/13 Suppose 4*h - 4 = 12. Suppose 0 = -3*k + 1 + 8. Let y = k - h. Sort y, 3, -5 in increasing order. -5, y, 3 Let g(x) = 5*x**2 - x. Let c be g(1). Suppose -2*s - 8 = -0. Let h = -39 - -36. Sort h, s, c in decr
{ "pile_set_name": "DM Mathematics" }
at is the third derivative of 256*u**2 - 753*u**2 + 313*u**2 + 10*u**4 + 6*u + 39*u**5 wrt u? 2340*u**2 + 240*u Let w(f) be the second derivative of 13/2*f**3 + 2 + 6*f**2 + 14*f. What is the first derivative of w(r) wrt r? 39 Let n be 8/(-3) + (-600)/(-180). Let z(b) be the third derivative of 0*b + 0 - 4*b**2 + n*b**4 - 3/2*b**3. What is the derivative of z(d) wrt d? 16 Let z(o) be the first derivative of -19*o**3 - 67*o**2 + 142*o + 124. Let y(q) be the first derivative of z(q). Differentiate y(d) wrt d. -114 Let r be ((-303)/(-6))/((-18)/(-72)). Find the third derivative of -r*c**2 - 79*c**2 - c**6 + 3*c**4 - 2*c**3 - c**4 + 2*c**3 wrt c. -120*c**3 + 48*c Suppose -a + 340 - 29 = -4*h, 0 = -3*h. Suppose -a = -6*s - 101. What is the second derivative of s*x**4 - 3940 + 3940 + 35*x wrt x? 420*x**2 What is the first derivative of r - 381 - 41 - 181 - 373 wrt r? 1 Let x be -13 - -12 - (-3 + 0). Find the third derivative of 3*r**2 + 7*r + 11*r**4 + 4*r**4 - 3*r - r - 5*r**x wrt r. 360*r What is the third derivative of 109*x + 98*x - x**2 - 1109*x**5 - 48*x + 22*x wrt x? -66540*x**2 Find the first derivative of -924 - 3*p**3 - 2389 - 8018*p**4 + 3*p**3 - 1733 wrt p. -32072*p**3 Let j = -183 - -186. What is the second derivative of -38*u + 9 - 28*u + 7*u**3 + 23*u**j + 68*u wrt u? 180*u Let r(b) be the first derivative of 40/3*b**3 + 0*b + 121 + 0*b**6 - 1/4*b**4 + 78/7*b**7 + 0*b**2 + 0*b**5. What is the third derivative of r(k) wrt k? 9360*k**3 - 6 What is the derivative of -5201*w + 1290 + 701 + 1810 + 822 - 1202*w wrt w? -6403 Let s(x) = 3*x**3 - x**2 - 1. Suppose -26 + 47 = -7*k. Let f(d) = 30*d**3 - 6*d**2 + 9. Let m(g) = k*f(g) + 18*s(g). Find the first derivative of m(y) wrt y. -108*y**2 Let s = -180 - -183. Find the second derivative of s*w - 75*w**5 - 14*w + 17*w wrt w. -1500*w**3 Suppose -5*x + 878 = 108. Let k be 4/(-22) + 1876/x. What is the first derivative of -k + 4 + 8 - 12*b + 2 wrt b? -12 Let l(d) be the first derivative of 1281*d**5/5 + 1992*d + 2148. What is the first derivative of l(c) wrt c? 5124*c**3 Suppose 4*h - 117 = -3*z, h - 5*h + 116 = 4*z. Suppose -2*v + h + 30 = 0. Find the first derivative of v + 13*c - 25*c - 20*c - 3*c wrt c. -35 Let f = -254 + 372. What is the second derivative of 1 - 2 + 2 + f*a**4 - 45*a + 1 wrt a? 1416*a**2 Let o(r) be the second derivative of 993*r**5/10 + 1351*r**3/6 + 1790*r. Find the second derivative of o(q) wrt q. 11916*q Let r(k) = 900*k**3 - 66*k + 130. Let i(f) = 2701*f**3 - 187*f + 391. Let n(s) = 6*i(s) - 17*r(s). Find the first derivative of n(w) wrt w. 2718*w**2 What is the third derivative of -90*u**4 + 48*u**5 - 154*u**4 - 29*u**5 + 127*u**4 - 1569*u**2 - 131*u**4 wrt u? 1140*u**2 - 5952*u Suppose -5*c - 23 = -4*f, -37*f + 39*f = 5*c + 9. Differentiate -145*g - 130 + 127*g - f*g**2 + 7*g**2 - g**4 wrt g. -4*g**3 - 18 Let d(y) = -4*y + 36. Let u(s) = s - 12. Let z(p) = -2*d(p) - 7*u(p). Let j be z(-6). What is the third derivative of 5*g + 16*g**2 - 18*g**6 - j*g + g wrt g? -2160*g**3 Let a(g) be the second derivative of 1/6*g**4 + 25/2*g**3 + 40*g + 0 - 106*g**2. Find the first derivative of a(z) wrt z. 4*z + 75 Let m(i) = 8*i**3 - 56*i**2 - 4*i + 654. Let s(u) = -13*u**3 + 112*u**2 + 7*u - 1307. Let k(g) = -7*m(g) - 4*s(g). Find the first derivative of k(r) wrt r. -12*r**2 - 112*r Let t(p) be the first derivative of -106 - 17/3*p**3 + 0*p**4 + 4*p**2 + 4/5*p**5 - 14*p. Find the second derivative of t(q) wrt q. 48*q**2 - 34 Let u(i) = -i - 1. Let k(z) = 9*z + 20. Let a(y) = -k(y) - 3*u(y). Let l be a(-5). What is the second derivative of -2*q + l*q + 62*q**3 - 60*q**3 wrt q? 12*q Suppose 0 = 4*p + 7*p - 33. What is the second derivative of 96 - m - 21*m**3 + p*m**3 - 83 wrt m? -108*m Let j = -39 - -66. What is the first derivative of -17*u - j*u + 6*u + 5*u + 35 wrt u? -33 Let h = 219 - 45. Differentiate h*r**3 - 65*r**3 + 4*r**2 - 54*r**3 - 73*r**3 - 141 with respect to r. -54*r**2 + 8*r Let k(y) = -y**3 - 6*y**2 + 6*y + 3. Let q be k(-7). Suppose 16*b - 5*b = 176. What is the derivative of -q + 3 + 10*n + b wrt n? 10 Let p(h) be the first derivative of 115*h**6/6 - 3*h**4/2 + 19*h**2 + 6*h - 39. Find the second derivative of p(z) wrt z. 2300*z**3 - 36*z Let j = -10 + 12. What is the second derivative of 20*u - 9*u**j - 7*u**2 + 6*u wrt u? -32 What is the third derivative of 18572*l**2 + 37*l**3 + 364*l**3 - 18956*l**2 wrt l? 2406 Let f(k) be the first derivative of -3*k**5/20 + k**3/6 + 83*k**2/2 - 114*k + 71. Let n(t) be the first derivative of f(t). Differentiate n(z) wrt z. -9*z**2 + 1 Let s be (6/8)/((-2)/(-16)). Find the second derivative of 10*z - 6*z**2 - s*z - 4*z**2 + 9*z wrt z. -20 Let x(m) be the first derivative of -79*m**6/6 - 31*m**4/4 + 67*m**3/3 + 3*m**2/2 + m - 7698. What is the third derivative of x(r) wrt r? -4740*r**2 - 186 Let j(s) be the second derivative of s**6/30 - 323*s**3/6 + 311*s**2/2 - 6*s + 64. What is the derivative of j(g) wrt g? 4*g**3 - 323 What is the second derivative of -4124*m**5 - 4379*m**5 + 9090*m**5 - 1254*m wrt m? 11740*m**3 Let m(p) be the first derivative of -56 - 8/5*p**5 - 2/3*p**3 + 24*p + 0*p**2 + 0*p**4. Differentiate m(i) wrt i. -32*i**3 - 4*i Let v(i) = i + 921 - 927 - 10*i. Let k(u) be the third derivative of -5*u**4/12 - 7*u**3/6 - 2*u**2. Let t(h) = -3*k(h) + 4*v(h). Differentiate t(j) wrt j. -6 Suppose 10*o + 848 = 2*o. Let s = 116 + o. What is the first derivative of 8 - 16 - s - 17 - 29*l**2 wrt l? -58*l Find the first derivative of 3002 + 4*v + 13*v**3 + 26*v**3 - 126*v**3 + 80*v**2 - 79*v**2 - 336*v**3 wrt v. -1269*v**2 + 2*v + 4 Let q(o) be the second derivative of 263*o**4/24 - 127*o**3/3 - 111*o**2/2 - 260*o. Let a(u) be the first derivative of q(u). Differentiate a(i) wrt i. 263 Let b(n) = 126*n**2 - 15*n + 2. Let c = -111 - -106. Let o(m) = 63*m**2 - 8*m + 1. Let v(p) = c*o(p) + 3*b(p). What is the second derivative of v(f) wrt f? 126 Suppose w + 4*n = 25, -2*n = -4*w + 19 + 9. Suppose 0 = w*q - 48 + 21. What is the third derivative of -8*z**2 + 121*z - z**q - 121*z wrt z? -6 Find the third derivative of -4*x**2 - 15 - 1043*x**5 + 564*x**5 - 24 - 240*x**5 - 1259*x**5 wrt x. -118680*x**2 Let r(p) be the first derivative of -3887*p**2/2 - 6559*p + 5869. Find the first derivative of r(c) wrt c. -3887 Let x(c) = 4469*c**2 - 3525*c. Let n(j) = -8931*j**2 + 7051*j. Let t(f) = -2*n(f) - 5*x(f). What is the second derivative of t(m) wrt m? -8966 Suppose -3*j + 301 = -4*q, 3*q = 2*j + 97 - 298. Differentiate 9*w + 95*w**2 + 49 - 195*w**2 + j*w**2 with respect to w. -2*w + 9 Let a(c) be the first derivative of 9*c**5/5 + 139*c**4/2 + 5*c**3/3 - c**2/2 + 95*c - 5804. Find the third derivative of a(i) wrt i. 216*i + 1668 Let p = 5 + 0. Let d be (4/(-12))/(3/18*-1). What is the second derivative of 0*j + j - p*j**d - 11*j wrt j? -10 Find the first derivative of -49051836*h + 2*h**3 - 2210 - 873*h**2 + 49051836*h wrt h. 6*h**2 - 1746*h Suppose -40576 = -19*q - 8865. What is the third derivative of c - c**3 + 1630*c**2 + 18*c**4 - q*c**2 - 2*c**3 wrt c? 432*c - 18 Let p(c) = -90*c**4 - 20*c**3 - 19*c**3 + 19 + 43*c**3. Let w(m) = -91*m**4 + 5*m**3 + 21. Let d(f) = -5*p(f) + 4*w(f). Find the first derivative of d(b) wrt b. 344*b**3 Let h(r) be the third derivative of 2*r**2 + 9*r + 241/6*r**3 - 59/8*r**4 + 0. What is the derivative of h(u) wrt u? -177 Let j(s) be the second derivative of -s**4/12 + 11*s**2/2 + 17*s. Let t be j(-3). What is the second derivative of -6*x**2 + 11*x + x**t + 12*x**2 wrt x? 14 Let n = -8 - -13. Let f(s) = -s**3 + 6*s**2 - 6*s + 5. Let i be f(n). Differentiate i - 1 + 6 - 10*z**2 + 1 wrt z. -20*z Let j(r) be the first derivative of -193/5*r**5 + 0*r**2 - 192*r + 0*r**3 + 126 + 0*r**4. Differentiate j(p) wrt p. -772*p**3 Suppose 401 = 5*d - 164. Suppose -2*b - 2*k = k - d, 5*k = 25. What is the third derivative of -41*j**2 + 3*j**2 - b*j**5 + 69*j**5 wrt j? 1200*j**2 Suppose -7*j + 2886 = 19*j. Find the third derivative of j*w**2 - w**3 - 527*w**4 + 2*w**3 + 537*w**4 wrt w. 240*w + 6 Let r(n) = -n + 13. Let a be (-8)/(-10) - 41/(-5). Let k be r(a). What is the second derivative of 4*c - 10*c + 6*c**k - 7*c**4 + 12*c**4 wrt c? 132*c**2 Find the third derivative of -81*g**6 - 2*g**4 + 56235*g**2 -
{ "pile_set_name": "DM Mathematics" }
Let f(j) be the first derivative of 1 + 0*j**2 - 2/15*j**3 + 0*j - 1/20*j**t. Determine q so that f(q) = 0. -2, 0 Let p(m) = m**2 - 2*m - 3. Let w be p(3). Let s = 3 + w. Factor -24*d - 14*d**2 + d**s - 16 - 2*d**2 + 4*d**2 - 3*d**3. -2*(d + 2)**3 Let q(m) be the first derivative of -2*m**3/21 + 3*m**2/7 + 12. Suppose q(p) = 0. Calculate p. 0, 3 Let p(h) = -4*h**4 - 22*h**3 + 17*h**2 - 19*h + 7. Let t(u) = -u**4 - 7*u**3 + 6*u**2 - 6*u + 2. Let b(r) = -2*p(r) + 7*t(r). Factor b(z). z*(z - 2)**2*(z - 1) Let p be -10 - -7 - 22/(-6). Let j be (2 - 1)*(-10)/(-2). Factor -4/3*b**4 + 0 - p*b**2 + 0*b + 5/3*b**3 + 1/3*b**j. b**2*(b - 2)*(b - 1)**2/3 Let w(y) = -3*y**4 + 36*y**3 + 108*y**2 + 168*y + 87. Let f(l) = l**4 - l**3 - l - 1. Let c(p) = -6*f(p) - w(p). Determine z so that c(z) = 0. -3, -1 Let w(z) = 12*z**4 - 4*z**3 - 12*z**2 + 6*z. Let x(c) = 23*c**4 - 8*c**3 - 23*c**2 + 13*c. Let b(j) = 5*w(j) - 2*x(j). Determine a so that b(a) = 0. -1, 0, 2/7, 1 Factor 3*x**2 + 81*x - 162 - 5*x**2 - 45*x. -2*(x - 9)**2 Let g(m) be the first derivative of 3*m + 1/12*m**3 - 1/8*m**2 - 3 - 1/48*m**4. Let q(a) be the first derivative of g(a). Factor q(j). -(j - 1)**2/4 Suppose 2*j + 14 = 3*u, 0*j - 18 = -u + 4*j. Suppose -5*d = -u*d. Factor d*w + 2/7*w**2 + 0. 2*w**2/7 Suppose 3*y - 9 + 3 = 0. Let -4*f**2 + 6*f**4 - 10*f**4 + f + 6*f**3 - y*f**5 + 3*f**5 = 0. What is f? 0, 1 Let d(p) be the second derivative of -49*p**6/30 + 7*p**5/5 - p**4/3 + 2*p. Factor d(c). -c**2*(7*c - 2)**2 Let b(i) be the second derivative of -i**4/30 + 6*i. Factor b(h). -2*h**2/5 Let j(p) be the second derivative of 1/15*p**6 + 1/5*p**5 + 0*p**4 - 2/3*p**3 + 3*p - p**2 + 0. Determine t, given that j(t) = 0. -1, 1 Suppose -6 = -3*i, -6*i = -2*w - i - 4. Factor -8/3*f - 10*f**w + 0 + 28/3*f**2 + 3*f**4. f*(f - 2)*(3*f - 2)**2/3 Let k(r) be the first derivative of r**8/5880 - r**7/1470 - r**6/1260 + r**5/210 - 4*r**3/3 - 4. Let c(i) be the third derivative of k(i). Factor c(j). 2*j*(j - 2)*(j - 1)*(j + 1)/7 Let n(c) = -c**2 - c. Let y be n(0). Suppose -o = -m - 5, -12 = o + 5*m + 1. Find p such that -1/2*p + y - 1/2*p**o = 0. -1, 0 Let c be (-2)/(-2) - (-5)/(-10). Let l(u) be the first derivative of 1 - u - 1/12*u**3 + c*u**2. Suppose l(o) = 0. What is o? 2 Let s(y) = -7*y + 3. Let c be s(0). Let g(j) be the second derivative of 0 + 1/50*j**6 - 1/20*j**5 - 1/5*j**2 + 4*j + 1/6*j**c - 1/60*j**4. Factor g(m). (m - 1)**2*(m + 1)*(3*m - 2)/5 Let j = 1/9 - -7/18. Factor j*r**2 + 1/2 - r. (r - 1)**2/2 Let r = 129/2 - 64. Factor 0 + 0*n - r*n**3 + n**2. -n**2*(n - 2)/2 Let j(h) be the second derivative of h + 0*h**3 - 1/42*h**4 + 0 + 1/7*h**2. Solve j(n) = 0. -1, 1 Let a(v) = -6*v**3 - 2*v**2 - 5. Let g(j) = 5*j**3 + j**2 + 4. Let x(k) = -4*a(k) - 5*g(k). Factor x(n). -n**2*(n - 3) Factor -5/6*h**5 - 11/3*h**3 + 1/2*h + 3*h**4 - 1/3 + 4/3*h**2. -(h - 1)**4*(5*h + 2)/6 Let u = 1/75 + 49/75. Let f(t) be the first derivative of 1 + 0*t + 0*t**2 - 2/5*t**5 + t**4 - u*t**3. Factor f(z). -2*z**2*(z - 1)**2 Let h(d) be the first derivative of d**8/5880 + d**7/2940 - d**6/1260 - d**5/420 - d**3 + 3. Let t(c) be the third derivative of h(c). Factor t(a). 2*a*(a - 1)*(a + 1)**2/7 Let b(f) be the second derivative of f**6/300 - f**5/75 - f**4/60 + 2*f**3/15 - 9*f**2/2 - 2*f. Let z(n) be the first derivative of b(n). Factor z(l). 2*(l - 2)*(l - 1)*(l + 1)/5 Let k(i) be the third derivative of -i**6/90 - 2*i**5/45 - 69*i**2. Factor k(p). -4*p**2*(p + 2)/3 Let x be 4/(-35)*(-7 + -3). Let q = 2 + -10/7. Factor -10/7*r + q - 2/7*r**3 + x*r**2. -2*(r - 2)*(r - 1)**2/7 Let d be ((-7)/(-252))/(2/10). Let q(y) be the third derivative of 0*y + d*y**4 + 0 + 3*y**2 - 1/9*y**3 - 7/90*y**5 + 1/60*y**6. Determine a so that q(a) = 0. 1/3, 1 Let g(o) = o + 3. Let d be g(-4). Let b(a) = 2*a**2 - a. Let c be b(d). Determine h, given that 2*h**c + 2*h**3 - 5*h**3 + h**4 = 0. 0, 1 Suppose 5*v - 3*x + 8 = 9*v, 2*x - 8 = -4*v. Determine l, given that -16/3*l**3 - 64/3*l + 16*l**v + 32/3 + 2/3*l**4 = 0. 2 Let j(q) be the second derivative of -q**8/2240 - q**7/420 - q**6/240 + q**4/3 + 4*q. Let w(r) be the third derivative of j(r). Factor w(c). -3*c*(c + 1)**2 Find v such that 8/13*v**2 + 0 + 2/13*v**4 + 8/13*v**3 + 0*v = 0. -2, 0 Let y(v) = v**4 - 4*v**3 + 6*v**2 + 16*v + 11. Let u(i) = 5*i**4 - 25*i**3 + 35*i**2 + 95*i + 65. Let g(j) = 6*u(j) - 35*y(j). Let g(t) = 0. Calculate t. -1, 1 Let p(a) be the third derivative of -a**5/100 - a**4/10 + a**3/2 - 11*a**2. Suppose p(d) = 0. What is d? -5, 1 Let o(m) be the second derivative of -m**5/5 - 5*m**4/3 - 4*m**3 - 24*m. Factor o(y). -4*y*(y + 2)*(y + 3) Let m(f) be the first derivative of f**6/720 + f**5/120 - f**3 - 1. Let l(s) be the third derivative of m(s). Let l(r) = 0. What is r? -2, 0 Let f(s) = -s**3 - 5*s**2 - 5*s - 4. Let t be f(-4). Let w = 11 + -8. Factor t*r + 2/5*r**4 - 4/5*r**w + 0 + 2/5*r**2. 2*r**2*(r - 1)**2/5 Let q(g) be the third derivative of -g**6/40 + g**5/5 - 3*g**4/8 - 39*g**2. Suppose q(j) = 0. What is j? 0, 1, 3 Let u(b) be the first derivative of -b**5 + 5*b**4/2 - 5*b**2 + 5*b - 1. Factor u(g). -5*(g - 1)**3*(g + 1) Let f be 3 - (1 + -1)*(-4)/(-8). Factor -1/3*w**f + 0 + 4/3*w**2 - 4/3*w. -w*(w - 2)**2/3 Let g be 36/8 + (-40)/(-20). Let -g*r**3 - 2*r + 0 + 6*r**2 + 3*r**4 - 1/2*r**5 = 0. Calculate r. 0, 1, 2 Let z(a) be the first derivative of -a**8/32 - a**7/21 + a**6/80 + a**5/60 + a**2/2 - 4. Let m(t) be the second derivative of z(t). Solve m(s) = 0 for s. -1, -2/7, 0, 1/3 Suppose 2*x**2 - 1/4*x**4 + 0 - 1/2*x**3 + 0*x = 0. What is x? -4, 0, 2 Let b(f) be the third derivative of -f**5/12 + 55*f**4/12 - 605*f**3/6 - 31*f**2. Factor b(q). -5*(q - 11)**2 Suppose 0 = 17*c - 18*c + 4. Let u(k) be the third derivative of 0 + 1/30*k**5 + 0*k**c - 2*k**2 + 0*k**3 + 0*k. Let u(x) = 0. What is x? 0 Let q(k) be the third derivative of -k**5/150 - k**4/30 - k**2. Factor q(v). -2*v*(v + 2)/5 Factor -4*b + 7*b - 6 + 3*b**3 + b**3 + 6*b**2 - 7*b**3. -3*(b - 2)*(b - 1)*(b + 1) Let s(h) = -9*h**4 - 24*h**3 - 42*h**2 - 18*h + 6. Let z(w) = -26*w**4 - 71*w**3 - 125*w**2 - 55*w + 17. Let m(i) = -17*s(i) + 6*z(i). Factor m(t). -3*t*(t + 2)**3 Let t = -4 - -1. Let m be t - -1 - 1*-4. Suppose j**2 + 10*j**3 + 8*j**4 - 2*j**m + 3*j**2 = 0. Calculate j. -1, -1/4, 0 Let i(y) = -7*y. Let n be i(1). Let v = n - -11. Let 0*h**2 + 4/7*h**3 - 4/7*h - 2/7 + 2/7*h**v = 0. Calculate h. -1, 1 Let 61*z**4 + 53*z + 828*z**3 - 336*z**2 - 385*z**4 - 32 - 293*z + 104*z**2 = 0. Calculate z. -2/9, 1, 2 Find h such that -1/4*h**3 + 0 + 3/2*h**2 - 9/4*h = 0. 0, 3 Suppose 3*c = 150 + 12. Suppose -z - z = -c. Factor -j**2 - 2*j**2 + 27*j + 6 - z*j**3 - 3*j**2. -3*(j - 1)*(j + 1)*(9*j + 2) Let u(w) be the first derivative of w**7/315 + w**6/225 + 9*w - 2. Let k(q) be the first derivative of u(q). Find h, given that k(h) = 0. -1, 0 Suppose -4/9*s**3 - 4/3*s**2 + 16/9 + 0*s = 0. Calculate s. -2, 1 Let b = -3791/24 + 158. Let w(x) be the third derivative of 2*x**2 + 0*x - 1/30*x**5 + 1/336*x**8 + b*x**4 + 0 - 1/60*x**6 + 1/210*x**7 + 1/6*x**3. Factor w(j). (j - 1)**2*(j + 1)**3 Let l be (-2)/3*27/(-6). Suppose 1 = l*m - 8. Determine r so that 7*r - 4*r + 4 - 2 - r**m = 0. -1, 2 Let g(t) be the first derivative of 2/15*t**3 - 2/25*t**5 + 1/5*t**2 - 2 + 0*t - 1/10*t**4. Factor g(c). -2*c*(c - 1)*(c + 1)**2/5 Let 8/3*b + 8/3 + 2/3*b**2 = 0. What is b? -2 Let w(j) = 6*j**3 + 5*j**2 + 23*j. Let o(q) = 2*q**3 + 2*q**2 + 8*q. Let u(g) = -17*o(g) + 6*w(g). What is x in u(x) = 0? 0, 1 Let t(u) be the first derivative of -2/5*u**5 + 14/9*u**3 - 3 - 1/6*u**4 + 0*u**2 + 1/9*u**6 - 8/3*u. Determine k so that t(k) = 0. -1, 1, 2 Let g(s) = -2*s**3 + s**2 - 7*s + 1. Let n(v) = v**3 - v**2 + 4*v. Suppose 5*d + 0*d + 35 = 0. Let y(m) = d*n(m) - 4*g(m). Factor y(c). (c - 1)*(c + 2)**2 Let w be 63/36 - (-2)/8. Let u be ((-8)/16)/(-3 + w). Suppose 0 + 9/4*r**2 + u*r = 0. What is r? -2/9, 0 Let a(s) be the second derivative of -s**4/3 - 8*s**3/3 - 6*s**2 - 27*s. Factor a(z). -4*(z + 1)*(z + 3) Let r(s) be the second derivative of 3*s**8/224 - s**7/20 + s**6/16 - s**5/40 - 2*s**2 + 4*s. Let b(q) be the first derivative of r(q). Factor b(d). 3*d**2*(d - 1)**2*(3*d - 1)/2 Let w(b) be the first derivative of -2*b**3/21
{ "pile_set_name": "DM Mathematics" }
10*w**4 - 5*w**2 wrt w. -168*w Differentiate 35*s + 2*s**3 - 246 - 5*s**3 - 35*s + 20 wrt s. -9*s**2 Let s(l) be the second derivative of -7/2*l**3 - 17/42*l**7 - 11*l + 0*l**6 + 0*l**4 + 0*l**2 + 0 + 0*l**5. What is the second derivative of s(g) wrt g? -340*g**3 Let b(m) be the first derivative of m**7/14 - 7*m**3/6 + 10*m - 13. Let u(c) be the first derivative of b(c). Find the second derivative of u(g) wrt g. 60*g**3 Let x(s) be the first derivative of -7*s**6/120 - 29*s**4/24 + 28*s**3/3 + 29. Let t(j) be the third derivative of x(j). Differentiate t(l) with respect to l. -42*l What is the derivative of -38*v - 46*v - 429 + 451 wrt v? -84 Let t(g) be the first derivative of 16 + 0*g**5 + 0*g**3 + 37/6*g**6 + 0*g**4 + 0*g + 57/2*g**2. Find the second derivative of t(c) wrt c. 740*c**3 Let m(c) = -17*c**4 - 31*c**3 - 549*c**2 - 11. Let v(s) = 8*s**4 + 16*s**3 + 275*s**2 + 6. Let d(r) = 6*m(r) + 11*v(r). Find the third derivative of d(k) wrt k. -336*k - 60 Let q(n) be the first derivative of 62*n**5/5 - 57*n - 69. What is the first derivative of q(r) wrt r? 248*r**3 Let b(x) = 26*x**6 + 6*x**4 + 245*x**2 + 4. Let p(a) = 24*a**6 + 7*a**4 + 245*a**2 + 5. Let v(r) = -5*b(r) + 4*p(r). What is the third derivative of v(j) wrt j? -4080*j**3 - 48*j Let r(i) be the second derivative of 7*i**4/3 - 53*i**2/2 - 162*i + 1. Find the first derivative of r(u) wrt u. 56*u Let k(u) = -u**3 - 7*u**2 + 2*u + 3. Let j be k(-7). Let y = -9 - j. What is the second derivative of y - 4*g - 4*g**3 + 1 - 3 wrt g? -24*g Let g(n) be the second derivative of -2*n**6 + 44*n**3/3 + 14*n. Find the second derivative of g(c) wrt c. -720*c**2 Let h be ((-182)/39)/((-2)/3). Suppose 3*p = 4*s - 11, 5*s = 5*p + 8 + h. Find the third derivative of -107*u**s + 93*u**2 - 3*u**6 - 7*u**6 wrt u. -1200*u**3 Let u = -16 + 24. Differentiate -17 + 10*o - 24*o + u*o with respect to o. -6 Let a(m) be the third derivative of -8*m**2 - 1/6*m**3 - 1/24*m**4 + 0 + 0*m. Let u(n) = -2*n + 7. Let q(s) = 5*a(s) + u(s). Differentiate q(x) wrt x. -7 Let i = 9155 - 1091. What is the third derivative of 52*k**5 - i - 32*k**2 + 8064 wrt k? 3120*k**2 Let s(h) = h**2 + 5*h + 4. Let g be s(-5). Find the third derivative of 0*i**g - 8*i**4 + 3*i**4 - 4*i**2 wrt i. -120*i Suppose 4*h + 3*g - 22 - 17 = 0, 33 = 3*h + 3*g. Find the second derivative of -7*p - 2*p - p - h*p**2 + 6*p wrt p. -12 Let q(v) = v + 13. Let i be q(-9). Find the third derivative of 787*z + 6*z**i - 787*z - 4*z**2 - 5*z**2 wrt z. 144*z Let g(w) be the third derivative of 0 + 1/8*w**4 - 1/120*w**6 + 0*w + 0*w**5 - 5*w**2 + 0*w**3. Find the second derivative of g(h) wrt h. -6*h Suppose 85*h - 88*h = -9. Let j(w) be the first derivative of 0*w - 3/5*w**5 + 0*w**4 - 5/2*w**2 + 0*w**h - 5. Find the second derivative of j(l) wrt l. -36*l**2 Let a(l) be the third derivative of l**6/15 + 7*l**4/12 - 86*l**3/3 - 258*l**2. Differentiate a(m) with respect to m. 24*m**2 + 14 Let i be 3 - (16/4 - 3). What is the first derivative of -7*y**3 - 28*y**i - 14 + 28*y**2 wrt y? -21*y**2 What is the second derivative of -12*g**4 - 23464 + 23464 + 120*g + 3*g**5 wrt g? 60*g**3 - 144*g**2 Let l(k) be the second derivative of -k**7/14 + 11*k**5/20 + 79*k**3/3 - 42*k. Find the second derivative of l(a) wrt a. -60*a**3 + 66*a Let b(t) be the third derivative of t**9/3024 + t**5/20 + 7*t**3/6 + 5*t**2. Let q(z) be the first derivative of b(z). Find the second derivative of q(m) wrt m. 20*m**3 Let w(y) be the third derivative of -1/42*y**7 + 0*y**3 + 0 + 0*y**4 - 1/5*y**5 + 19*y**2 + 0*y + 0*y**6. Find the third derivative of w(m) wrt m. -120*m Let w = 7 + -3. Suppose i - 174 = -168. What is the third derivative of 4*k**5 - 6*k**w + i*k**4 + 7*k**2 wrt k? 240*k**2 Let j = -8 - -11. Suppose 0 = -z - 4*n, 2*z + j*n - 2*n - 7 = 0. Find the first derivative of 4 + a**z + 3*a**4 - 11 - 9*a**4 wrt a. -20*a**3 Let w = 31 + -18. Find the second derivative of w*p**4 - 9*p + 1 - 1 + 3*p wrt p. 156*p**2 Find the second derivative of -20*p - 429*p**5 - 231*p**5 + 1 + 0*p + 52*p - 5 wrt p. -13200*p**3 Let f(i) = i - 3. Let y(x) = -x + 2. Let m(o) = -5*f(o) - 4*y(o). Let u be m(4). What is the second derivative of -4*h**2 - u*h + 9*h**2 - 6*h + 2*h wrt h? 10 Let p = 13 + -11. Let d be 91/21 - p/6. What is the third derivative of 0*f**d - 2*f**2 - 3*f**2 + 6*f**4 wrt f? 144*f Suppose 0 = -5*j + 5, -3*a = -0*a - 4*j + 1. Let c be (a - 16)*(-26)/65. Find the third derivative of 4*z**2 - 5*z**c + 12*z**6 - 14*z**4 + 14*z**4 wrt z. 840*z**3 Find the second derivative of 2*c**4 - 3*c**4 + 628*c**5 - 105*c - 257*c**5 - 149*c wrt c. 7420*c**3 - 12*c**2 What is the third derivative of -243*c**3 - 351*c**2 - 3*c + 391*c**3 - 212*c**3 + 3*c wrt c? -384 Let a(l) = 3*l**2 - 1. Let x(s) = 690*s**2 - 4*s + 9. Let q(f) = -5*a(f) - x(f). What is the second derivative of q(h) wrt h? -1410 Let v = -12 - -23. What is the third derivative of -v*o**2 + 3*o**3 - 11*o**2 - 12*o**2 + 8*o**2 wrt o? 18 Let j(q) = 1. Let l(u) = -2*u**3 - 3*u**2 + 6. Suppose 0 = -17*w + 14*w + 18. Let o(m) = w*j(m) - l(m). What is the third derivative of o(i) wrt i? 12 Let h(o) = -8 - 5*o + 33*o**2 - 13 + 17*o**2. Let s(j) = -75*j**2 + 7*j + 31. Let d(c) = 7*h(c) + 5*s(c). What is the first derivative of d(x) wrt x? -50*x Let j(s) be the third derivative of -34*s**5/15 - 35*s**4/8 + 111*s**2. Find the second derivative of j(n) wrt n. -272 Find the second derivative of -127 + 33*q + 125 + 3*q**3 + 2*q**3 - 6*q**2 wrt q. 30*q - 12 Let z(t) = 12*t**3 + t**2 + 46*t. Let d(x) = -x. Let k(j) = 6*d(j) + z(j). Find the second derivative of k(p) wrt p. 72*p + 2 Let j(z) be the third derivative of 23*z**6/120 - 49*z**3/6 - 2*z**2 + 14. What is the derivative of j(p) wrt p? 69*p**2 Find the third derivative of -302*a**3 + 4*a**5 - 3*a**5 - 105*a**2 + 162*a**3 + 0*a**5 wrt a. 60*a**2 - 840 Let b(p) = -64*p**4 - 6*p**3 + 1439*p. Let o(q) = -32*q**4 - 3*q**3 + 719*q. Let r(c) = -2*b(c) + 5*o(c). Find the second derivative of r(z) wrt z. -384*z**2 - 18*z Let q(a) be the third derivative of -59*a**7/105 + 113*a**3/6 + 32*a**2. Find the first derivative of q(d) wrt d. -472*d**3 Suppose 0 = -16*u + 21*u - 15. Differentiate -10*l**u + 989*l + 17 - 989*l wrt l. -30*l**2 Suppose -3*m = -m - 20. Differentiate -15 + 1 - m + 7*z**2 - 19*z**2 wrt z. -24*z Find the second derivative of -280*k**3 - 277*k**3 + 834*k**3 - k - 277*k**3 + 58*k**5 - 119 wrt k. 1160*k**3 Let j(c) = -c**3 + 12*c**2 - 7*c - 26. Let t be j(11). What is the third derivative of -t*w**5 - 20*w**2 + 30*w**5 + 14*w**5 wrt w? 1560*w**2 Let s = -210 + 635/3. Let v(a) be the first derivative of -6 - s*a**3 - a**7 + 0*a**5 + 0*a + 0*a**6 + 0*a**2 + 0*a**4. Find the third derivative of v(i) wrt i. -840*i**3 Suppose -14 + 20 = 3*q. What is the second derivative of -f**2 - q*f + 7*f**3 + 3*f**2 - 2*f**2 wrt f? 42*f Let k(v) be the second derivative of -23*v**5/20 + 17*v**4/6 + v**3/6 - 39*v. What is the third derivative of k(n) wrt n? -138 Let l = 49 + -28. Suppose 10*j - 13*j = -l. What is the derivative of -3*t + j*t + 10 - 2 - 3 wrt t? 4 Let l(a) = -9*a**3 - 12*a**2 - 183*a - 9. Let h(x) = -3*x**2 - 1. Let w(o) = -9*h(o) + l(o). Find the second derivative of w(q) wrt q. -54*q + 30 Let i(q) be the second derivative of -3/2*q**4 + 25*q + 0*q**3 + 0*q**2 + 0 + 3/10*q**5. What is the third derivative of i(d) wrt d? 36 Let k(x) be the first derivative of -x**6/6 - 36*x**5/5 + 83*x**2/2 + 4*x - 104. What is the second derivative of k(u) wrt u? -20*u**3 - 432*u**2 Let v = -22 - -25. Suppose -5 = -v*j + 1. Find the second derivative of r**2 + r**j - 2*r**2 - 7*r**4 + 3*r wrt r. -84*r**2 Suppose -11 = -3*v - 8. Suppose -v - 1 = -s. What is the second derivative of -s*x - 4*x**2 + 2 - 2 wrt x? -8 Let c(p) = 85*p + 57. Let k(b) = 85*b + 53. Let u(w) = 5*c(w) - 6*k(w). What is the derivative of u(m) wrt m? -85 Let n be (-17 - -16) + 2 + 1. Find the third derivative of -9*p**n + 10*p**4 + 11*p**5 + 5*p**4 - 15*p**4 wrt p. 660*p**2 Let u(l) be the second derivative of -13*l + 1/6*l**7 - 17/6*l**3 + 0*l**4 + 0*l**6 + 0*l**5 + 0 + 0*l**2. What is the second derivative of u(z) wrt z? 140*z**3 Let z(q) be the second derivative of -17/6*q**3 + 0*q**2 + 0*q**4 + 0 + 4/5*q**5 - 20*q. Find the second
{ "pile_set_name": "DM Mathematics" }
t b(u) be the first derivative of -9 - 3/2*u**2 - 1/24*u**6 + 5/12*u**4 + 0*u - 1/12*u**5 + 0*u**3. Let v(m) be the second derivative of b(m). Factor v(x). -5*x*(x - 1)*(x + 2) Suppose -51*u = -54*u + 3. Let v be u - (6 - (270/24 + -6)). Find g such that -1/4*g**2 + v - 1/8*g + 1/8*g**3 = 0. -1, 1, 2 Let l = -248 + 288. Factor -14*o - 66*o + 25 - 89*o**4 + 90*o**2 + 94*o**4 - l*o**3. 5*(o - 5)*(o - 1)**3 Suppose 0 = -90*s + 93*s + 12. Let i(k) = -15*k**2 - 19*k + 22. Let l(t) = 3*t**2 + t - 1. Let o(g) = s*l(g) - i(g). Factor o(x). 3*(x - 1)*(x + 6) Let b(s) be the third derivative of -s**8/420 - 104*s**7/525 - 431*s**6/200 - 1429*s**5/300 + 313*s**4/15 - 24*s**3 - 7*s**2 + 149*s. Let b(d) = 0. What is d? -45, -4, 1/2 Suppose 252*g = 233 + 523. Find x, given that 42/11*x + 36/11 - 40/11*x**g - 20/11*x**2 - 2/11*x**5 - 16/11*x**4 = 0. -3, -2, -1, 1 Let j(a) be the first derivative of -a**5/45 + 5*a**4/12 - 19*a**3/9 + 73*a**2/18 - 10*a/3 + 5823. Let j(u) = 0. What is u? 1, 3, 10 Let i(t) be the first derivative of -t**3/27 - 14*t**2/9 + 20*t/3 - 1142. Find x such that i(x) = 0. -30, 2 Let g(c) = 4*c**4 + 40*c**3 - 1364*c**2 + 7618*c - 10188. Let t(q) = 4*q**2 - q - 2. Let x(b) = g(b) + 2*t(b). Factor x(d). 4*(d - 7)**2*(d - 2)*(d + 26) Factor 122*x + 740/3 - 2/3*x**2. -2*(x - 185)*(x + 2)/3 Let n = 1482283/3 + -494081. Factor 14 - n*r - 2/3*r**2. -2*(r - 1)*(r + 21)/3 Suppose -1326675/8*l - 1/8*l**3 + 294079625/8 + 1995/8*l**2 = 0. Calculate l. 665 Let o be (-19437)/342 + (57 - 0). Find y such that -o*y**3 + 121/3 - 77/6*y - 10/3*y**2 = 0. -11, 2 Let a be 5/(-4) - (-549)/36. Factor -8 + 36*t - 79*t + 37*t + a*t**3 - 2*t**4 + 32*t - 30*t**2. -2*(t - 4)*(t - 1)**3 Let h(o) = o**2 - 55*o - 6048. Let c be h(-55). Let r(u) be the first derivative of 4 + 8/27*u**3 + 0*u**c + 2/45*u**5 + 5/18*u**4 + 0*u. Factor r(s). 2*s**2*(s + 1)*(s + 4)/9 Suppose -n + 2*n = -2*k + 36, 4*n = -5*k + 156. Determine v so that 78*v + 13 + 26*v + n*v**3 - 5*v**4 - 37 - 111*v**2 - 2*v**3 - 6*v = 0. 2/5, 1, 3, 4 Let c be 2/(-4)*(2 + -2). Let y = 4857/2 + -2428. Factor c - 3/4*m**3 + 0*m - 1/4*m**4 - y*m**2. -m**2*(m + 1)*(m + 2)/4 Let o(l) = -58*l - 1329. Let i be o(-23). Let h(d) be the third derivative of 0*d + 0*d**3 - 13*d**2 - 7/12*d**i + 5/12*d**4 + 0. Determine m so that h(m) = 0. 0, 2/7 Let x(l) be the second derivative of 21*l + 0*l**2 + 3/4*l**4 + 1/10*l**6 - 9/20*l**5 - 1 - 1/2*l**3. Factor x(t). 3*t*(t - 1)**3 Factor 1690377*d**2 + 5219465*d**2 + 15048*d + 8 + 166480*d**2. 2*(1881*d + 2)**2 Suppose 110*x = -29414 + 116314. Suppose x = 7*r + 769. Factor 0 + 2/7*o**r - 4/7*o**2 - 16/7*o. 2*o*(o - 4)*(o + 2)/7 Let r(b) be the first derivative of -2*b**3/33 + 2*b**2/11 - 2*b/11 - 2263. Solve r(l) = 0 for l. 1 Let x = 64 + -65. Let z(h) = -h**4 + 2*h**3 + h**2 - h. Let d(k) = 6*k**4 + 2*k**2 - 4*k - 8. Let o(m) = x*d(m) - 4*z(m). Factor o(u). -2*(u - 1)*(u + 1)*(u + 2)**2 Factor 2208/5*r - 3/5*r**2 + 2211/5. -3*(r - 737)*(r + 1)/5 Suppose 0 = -602*t - 58*t. Let s be (11/(-55))/((-1)/2). Factor 2/5*h - s*h**3 + 0*h**2 + t. -2*h*(h - 1)*(h + 1)/5 Let v(t) = 2*t - 12. Let s be v(7). Let a be (-5)/s*(-6)/5. What is x in -5*x**4 + 7*x**3 - a*x**3 + x**3 = 0? 0, 1 Let j be (-4)/6*6/(-16)*(65 - 57). Let c(r) be the third derivative of -7/8*r**4 + 0 + 5*r**j - 3/2*r**3 + 0*r - 1/4*r**5 - 1/40*r**6. Factor c(z). -3*(z + 1)**2*(z + 3) Let b(w) = -35*w**3 - 970*w**2 + 3095*w - 10. Let u(y) = -11*y**3 - 324*y**2 + 1032*y - 3. Let i(f) = 3*b(f) - 10*u(f). Factor i(d). 5*d*(d - 3)*(d + 69) Let o(h) = -h**3 + 5*h**2 - 3. Let w(f) be the first derivative of -37 - 3*f**3 + 0*f**2 + 1/4*f**4 + 7*f. Let l(t) = -7*o(t) - 3*w(t). Factor l(r). 4*r**2*(r - 2) Let m(z) = -2*z**2 + 9*z + 1. Let g(h) = -2456*h + 1 + 2456*h + h**2. Let n(u) = 5*g(u) + m(u). Solve n(a) = 0. -2, -1 Let o = 2431 - 2960. Let a = o - -531. Factor 27/8*t + 3/4 + 9/4*t**4 + 3/8*t**5 + 6*t**a + 21/4*t**3. 3*(t + 1)**4*(t + 2)/8 Suppose 0 = -2*r + 2*k - 2 - 0, 15 = r + 3*k. Let i(c) = c + 58. Let x be i(0). Determine l so that -l**r + 28 - x + 30 + l = 0. -1, 0, 1 Let y(r) = r**2 - r + 1. Let n(j) = 7*j**2 - 7*j - 17. Let g(a) = n(a) - 3*y(a). Let i be g(10). Suppose 335*w**3 - 3*w**2 - i*w**3 - 2*w**2 = 0. What is w? -1, 0 Solve 3/2*r**2 - 57 + 51/2*r = 0. -19, 2 Let v be (-310)/50 + 6 + 388/(-10). Let m be (6 + 410/(-65))/(6/v). Solve 2*p**m + 3/2*p**3 - 5/2*p - 1 = 0. -2, -1/3, 1 Let h = -344 - -348. Factor 134*l + 100*l**3 - 108*l**2 - 24 - 6058*l**4 + 6051*l**h - 95*l**2. -(l - 12)*(l - 1)**2*(7*l - 2) Suppose 5*v - 8 = -96*j + 94*j, -4*v = 3*j - 12. Suppose -3/2*k**4 - 1/2*k**2 - 3/2*k**3 + v*k + 0 - 1/2*k**5 = 0. Calculate k. -1, 0 Let u(d) = d**4 - 3*d**3 - 2*d**2 + 1. Let g(j) = 2*j**5 - 429*j**4 + 409*j**3 - 18*j**2 + 9. Let q(t) = 2*g(t) - 18*u(t). Factor q(b). 4*b**3*(b - 218)*(b - 1) Let k(f) be the first derivative of 6*f - 11/2*f**2 + 4/3*f**3 + 1/4*f**4 - 147. Find t such that k(t) = 0. -6, 1 Let c(a) = a**2 - 34*a + 66. Let n be c(32). Let d(v) be the third derivative of 0 + 2*v**n + 0*v + 1/16*v**4 - 1/160*v**5 - 1/4*v**3. Factor d(f). -3*(f - 2)**2/8 Let n(w) be the second derivative of -w**4/3 - 572*w**3/3 + 1152*w**2 + 9364*w. Solve n(l) = 0. -288, 2 Let u be (6/15)/((-21)/2940). Let d be (185/35 - 5)/((-32)/u). Factor 1/5*n**2 + 3/10*n**4 + 9/10*n - n**3 - d + 1/10*n**5. (n - 1)**3*(n + 1)*(n + 5)/10 Factor -1/3*v**2 + 139/3*v - 274/3. -(v - 137)*(v - 2)/3 Let t = -127869 - -127869. Factor -2/15*l**4 + 4/5*l**3 + 16/15*l - 8/5*l**2 + t. -2*l*(l - 2)**3/15 Suppose 2772 = -j + 12*j. Let c be (-3 - 2/(-2))*j/(-336). Solve 1/4*k**4 + 0*k - c*k**2 + 0 + 1/4*k**3 = 0 for k. -3, 0, 2 Let m(l) be the third derivative of 0 - 1/10*l**4 - 1/100*l**5 - 53*l**2 - 3/10*l**3 + 0*l. Factor m(t). -3*(t + 1)*(t + 3)/5 Let x(m) be the third derivative of -33/10*m**6 + 0*m + 0*m**3 + 279*m**2 + 2/5*m**7 + 0 - 121/15*m**5 + 0*m**4 - 1/84*m**8. Determine h so that x(h) = 0. -1, 0, 11 Suppose 2*d = -3*r + 21 - 7, 2*r - 9 = -d. Let j = -22 - -52. Factor 16*s**2 - 40*s**2 - 36*s**2 - 5*s**r + j*s**3 + 40*s. -5*s*(s - 2)**3 Let o(p) be the first derivative of 0*p + 0*p**2 + 16/9*p**3 + 135 + 1/18*p**6 + 1/2*p**4 - 3/5*p**5. Factor o(j). j**2*(j - 8)*(j - 2)*(j + 1)/3 Suppose -21176/7*b**2 + 402/7*b**3 + 13944*b - 2/7*b**4 - 10976 = 0. Calculate b. 1, 4, 98 Let x(r) be the first derivative of -15/2*r**2 - 4*r**3 + 0*r + 226 + 3/4*r**4. Factor x(q). 3*q*(q - 5)*(q + 1) Let r = 1232/669 + -1349/1338. Determine b, given that -r*b**2 + 1/6*b**3 + 7/6*b - 1/2 = 0. 1, 3 Let p(o) = 3*o**4 - o**3 - 1. Let l(i) = -2*i**4 - 13*i**3 + 53*i**2 - 76*i + 37. Let w(d) = -l(d) - p(d). Let w(f) = 0. What is f? 1, 2, 9 Let q be (-5)/(-3) - (-252)/189. Let o(k) be the third derivative of 0*k**q + 0*k**4 + 0*k + 0 - 1/510*k**5 + 11*k**2 - 1/1020*k**6. Factor o(d). -2*d**2*(d + 1)/17 Let q(w) be the first derivative of w**3/6 + 1197*w**2/4 + 598*w + 2070. Factor q(r). (r + 1)*(r + 1196)/2 Let r(h) be the second derivative of 0*h**4 + 1/195*h**6 + 0*h**3 + 0 + 2/65*h**5 - 61*h + 0*h**2. Determine a, given that r(a) = 0. -4, 0 Suppose 0 = -5*k - z + 2*z + 47, 0 = 3*k + z - 33. Suppose 0*d + d - 5*o + 22 = 0, k = 2*o. Determine r, given that 4*r**2 - 2*r + 10*r + 4 + 3 - d = 0. -1 Let x(o) be the second derivative of -o**6/60 - 11*o**5/5 - 121*o**4 - 10648*o**3/3 - 18*o**2 - 80*o. Let m(i) be the first derivative of x(i). Factor m(l). -2*(l + 22)**3 Let i(b) be the first derivative of b**3/5 - 1344*b**2/5 + 602112*b/5 - 2469. Let i(t) = 0. Calculate t. 448 Let b be 5/((-30)/18) - 615/(-200). Let a(i) be the second derivative of 3*i + 0*i**2 + 0 - 1/4*i**3 + b*i**5 + 1/24*i**4 - 1/60*i**6. Factor a(y). -y*(y - 3)*(y - 1)*(y + 1)/2 Let a(m) be the first derivative of m**5/2 + 7415*m**4/2 + 10996445*m**3 + 16307727935*m**2 + 24184360527605*m/2 - 6190. Suppose a(r) = 0. What is r? -1483 Let n = -85053/4 - -21265. Let g(x) be the second derivative of -n*x**4 - 8*x**2 + 0 + 8*x**3 + 1/8*x**5 + x. Factor g(o). (o - 4)**2*(5*o - 2)/2 Suppose 7*v - 14 = -0*v. Let h = 443 + -441. Find x, given that h*x - 8/5*x**v + 2/5*x**3 - 4/5 = 0. 1, 2 Let s(j) be the second derivative of j**4/108 + 13*j**3/9 + 169*j**2/2 + 88*j + 7. Factor s(g). (g + 39)**2/9 Let
{ "pile_set_name": "DM Mathematics" }
822970.1 What is 27/4 of a litre in millilitres? 6750 Convert 649155.7l to millilitres. 649155700 How many months are there in 3/5 of a century? 720 What is 0.3882909ml in litres? 0.0003882909 Convert 6.594956 millilitres to litres. 0.006594956 What is 6641.946ms in hours? 0.001844985 How many litres are there in 773.8241 millilitres? 0.7738241 How many millimeters are there in 15038.29um? 15.03829 What is 7.613667 millilitres in litres? 0.007613667 What is 21/4 of a litre in millilitres? 5250 How many centuries are there in one fifth of a millennium? 2 What is 26/5 of a kilogram in grams? 5200 Convert 0.9091278 minutes to seconds. 54.547668 What is 3/25 of a millimeter in micrometers? 120 What is 3/5 of a litre in millilitres? 600 How many millilitres are there in 57/2 of a litre? 28500 How many minutes are there in 13/5 of a hour? 156 How many micrometers are there in 18/5 of a millimeter? 3600 What is thirty-seven halves of a litre in millilitres? 18500 Convert 96.27964 tonnes to grams. 96279640 Convert 877693.4 minutes to microseconds. 52661604000000 Convert 1799.918l to millilitres. 1799918 How many millilitres are there in 0.4089304l? 408.9304 How many kilograms are there in seven halves of a tonne? 3500 How many nanoseconds are there in 1/5 of a microsecond? 200 How many nanoseconds are there in 23.34067s? 23340670000 How many millilitres are there in twenty-seven quarters of a litre? 6750 What is one fifth of a decade in years? 2 What is 7/2 of a gram in milligrams? 3500 How many millennia are there in 691204.9 decades? 6912.049 What is five quarters of a milligram in micrograms? 1250 What is 15/4 of a litre in millilitres? 3750 What is 5/4 of a millimeter in micrometers? 1250 How many microseconds are there in 527.2618 milliseconds? 527261.8 How many millilitres are there in fifteen quarters of a litre? 3750 How many microseconds are there in 1/16 of a second? 62500 What is twenty-seven fifths of a centimeter in millimeters? 54 What is 3/10 of a minute in milliseconds? 18000 How many millilitres are there in 21/5 of a litre? 4200 What is 27.89366l in millilitres? 27893.66 What is 5/8 of a millennium in months? 7500 Convert 362376.3 millennia to months. 4348515600 How many meters are there in 252785.7cm? 2527.857 How many millilitres are there in 3.171659l? 3171.659 How many seconds are there in five quarters of a minute? 75 What is 2820.97179 minutes in weeks? 0.2798583125 How many micrograms are there in fifty-two fifths of a milligram? 10400 What is 0.4691218 millennia in centuries? 4.691218 Convert 148931.3 millilitres to litres. 148.9313 What is 15/4 of a meter in millimeters? 3750 What is 754.884 litres in millilitres? 754884 How many tonnes are there in 92.31127ng? 0.00000000000009231127 How many centimeters are there in twenty-one halves of a meter? 1050 Convert 3324.246 milligrams to kilograms. 0.003324246 How many hours are there in 25/4 of a day? 150 Convert 5.350092 seconds to milliseconds. 5350.092 Convert 0.8565628km to meters. 856.5628 How many millennia are there in 782.3379 decades? 7.823379 Convert 39.6716km to micrometers. 39671600000 Convert 85612.01 millilitres to litres. 85.61201 How many months are there in 45.11959 centuries? 54143.508 Convert 2584774.5 months to years. 215397.875 What is five eighths of a kilogram in grams? 625 Convert 10336.02mg to micrograms. 10336020 What is 54.88621 days in seconds? 4742168.544 Convert 7.202621 decades to months. 864.31452 How many milliseconds are there in 3/5 of a second? 600 How many centuries are there in 24408.642 months? 20.340535 What is 357562.35 milliseconds in days? 0.004138453125 What is twenty-five quarters of a year in months? 75 How many millilitres are there in seventy-seven fifths of a litre? 15400 What is 11/4 of a microgram in nanograms? 2750 What is 1.303105 kilometers in nanometers? 1303105000000 What is 218507.22 months in decades? 1820.8935 How many years are there in 78.99775 decades? 789.9775 How many minutes are there in fourteeen ninths of a day? 2240 What is 8/25 of a century in months? 384 What is 8/25 of a millennium in months? 3840 What is five quarters of a litre in millilitres? 1250 Convert 612019.5 nanometers to centimeters. 0.06120195 How many milligrams are there in eighteen fifths of a gram? 3600 Convert 2.8286766 months to years. 0.23572305 How many millilitres are there in five eighths of a litre? 625 How many centimeters are there in 5/8 of a kilometer? 62500 How many minutes are there in 23/3 of a hour? 460 What is 1/24 of a week in seconds? 25200 What is 15/4 of a tonne in kilograms? 3750 How many micrograms are there in 94449.08 milligrams? 94449080 How many tonnes are there in 58.67645 nanograms? 0.00000000000005867645 What is twenty ninths of a hour in seconds? 8000 How many nanograms are there in 1270.98ug? 1270980 What is 45275.2 grams in nanograms? 45275200000000 How many kilometers are there in 7806.217 millimeters? 0.007806217 How many decades are there in 7/4 of a millennium? 175 How many meters are there in 1293.587 nanometers? 0.000001293587 What is 21/2 of a kilogram in grams? 10500 How many nanometers are there in 0.0504795 kilometers? 50479500000 How many days are there in thirty sevenths of a week? 30 What is 51150.77m in centimeters? 5115077 What is 63.5197 millimeters in kilometers? 0.0000635197 What is 973075.8 millennia in months? 11676909600 What is 21/4 of a day in hours? 126 What is 1/4 of a millimeter in micrometers? 250 How many millilitres are there in 4.746474 litres? 4746.474 What is 74.9811 months in years? 6.248425 What is one tenth of a litre in millilitres? 100 How many centimeters are there in fifty-nine quarters of a meter? 1475 What is 7067.645 micrometers in nanometers? 7067645 How many millilitres are there in nine tenths of a litre? 900 What is three fifths of a microgram in nanograms? 600 How many micrometers are there in 53/5 of a millimeter? 10600 How many millilitres are there in 21/4 of a litre? 5250 What is 1/4 of a microgram in nanograms? 250 How many minutes are there in 70/9 of a week? 78400 Convert 21422.99 millilitres to litres. 21.42299 How many centimeters are there in 87/2 of a meter? 4350 How many litres are there in 0.2301424 millilitres? 0.0002301424 Convert 0.4468191 tonnes to micrograms. 446819100000 How many microseconds are there in one tenth of a second? 100000 Convert 0.3473606ng to tonnes. 0.0000000000000003473606 How many millilitres are there in 25/8 of a litre? 3125 What is eleven halves of a meter in centimeters? 550 What is 51/5 of a millimeter in micrometers? 10200 How many minutes are there in fourty-two fifths of a day? 12096 What is 5/4 of a decade in months? 150 What is 32/5 of a microgram in nanograms? 6400 What is 11/4 of a micrometer in nanometers? 2750 How many milliseconds are there in 0.1283086 microseconds? 0.0001283086 How many nanoseconds are there in nineteen quarters of a microsecond? 4750 Convert 482907.5ml to litres. 482.9075 What is 7/4 of a litre in millilitres? 1750 How many kilometers are there in 49688.63um? 0.00004968863 How many millilitres are there in 7721.186l? 7721186 What is 2795.756ml in litres? 2.795756 How many micrometers are there in 347.6972m? 347697200 Convert 0.688632mm to kilometers. 0.000000688632 How many centimeters are there in 3.313428mm? 0.3313428 Convert 974.443nm to micrometers. 0.974443 How many millimeters are there in one sixteenth of a kilometer? 62500 What is one quarter of a kilogram in grams? 250 What is 825.6457 nanometers in micrometers? 0.8256457 How many nanograms are there in 1/16 of a milligram? 62500 How many millilitres are there in 33/5 of a litre? 6600 How many millimeters are there in 3/10 of a centimeter? 3 How many months are there in 9/10 of a century? 1080 What is 3/5 of a micrometer in nanometers? 600 What is 3/40 of a micrometer in nanometers? 75 How many grams are there in 44666.02ng? 0.00004466602 What is 22.99058ml in litres? 0.02299058 What is twenty-one eighths of a kilogram in grams? 2625 What is 3/5 of a millennium in months? 7200 Convert 544940.6m to millimeters. 544940600 Convert 91.9826g to milligrams. 91982.6 How many centuries are there in fourty-eight fifths of a millennium? 96 Ho
{ "pile_set_name": "DM Mathematics" }
is the third derivative of 22*g**6 + 88*g**4 - 3*g**3 - 1366*g**2 + 2*g wrt g? 2640*g**3 + 2112*g - 18 What is the second derivative of 155*f**4 - 4*f**3 + 11*f**2 - 2*f + 82296? 1860*f**2 - 24*f + 22 Find the first derivative of -18235*g**3*y**2 + 61959*g**3 + 4*g**2*y**3 - 2*g**2 + 1 wrt y. -36470*g**3*y + 12*g**2*y**2 Differentiate -42*d*k**3 - 2*d*k**2 - 53*d*k*u - 2*d*k + 1585*k**3*u - 5*k**2 + 4 with respect to u. -53*d*k + 1585*k**3 What is the second derivative of -4852*s**4 - 2*s**3*y - 4*s**2*y + s**2 - 641*s*y + 3*s + 2 wrt s? -58224*s**2 - 12*s*y - 8*y + 2 Find the third derivative of 133*o**6 - 1664*o**4 - 11103*o**2 + 45*o. 15960*o**3 - 39936*o What is the second derivative of -2343*i**3*j**2 + 9*i**3*j*t**2 + 50*i**3*j + 2*i**2*j**2*t**2 + 4*i*j**2 - i*j + j*t**2 - 2*j*t wrt j? -4686*i**3 + 4*i**2*t**2 + 8*i Find the second derivative of 2*a**4*d + 7487*a**3*d*u**3 + a*d*u**3 + 308*a*u**3 + 3*d*u**3 + u**2 - 3 wrt a. 24*a**2*d + 44922*a*d*u**3 Find the first derivative of 1942*s + 16169. 1942 Find the second derivative of -182080*s**2*t**2 - 8100*s**2*t + 21*s*t wrt t. -364160*s**2 What is the third derivative of -22033*z**5 + 2*z**2 - 29021*z wrt z? -1321980*z**2 Find the second derivative of -4969*c**2*v**3 - 1813*c**2 + 6*v**3 - v + 7 wrt v. -29814*c**2*v + 36*v What is the second derivative of 49*i**3*u**3 + 1903*i**3*u + i**2*u + 400*u**3 wrt u? 294*i**3*u + 2400*u Find the third derivative of -46765*n**6 + 9325*n**2 wrt n. -5611800*n**3 Find the third derivative of 53*u**5 - 31*u**4 + 2*u**3 - 66*u**2 wrt u. 3180*u**2 - 744*u + 12 Find the second derivative of -82788*t**2*y + 2*t*y - 2*t - y + 42598 wrt t. -165576*y What is the first derivative of 2048347*o**3 - 2*o + 8767 wrt o? 6145041*o**2 - 2 Differentiate -49901*z**3 - 76526. -149703*z**2 What is the second derivative of 196396*i**2 + 471042*i wrt i? 392792 Find the first derivative of -123170*u**2 - 41014 wrt u. -246340*u Find the second derivative of 41438*u**4 + 12*u**2 - 2469348*u. 497256*u**2 + 24 What is the second derivative of -1189*r**4*x + r**3*x**2 - 32223*r*x**2 wrt r? -14268*r**2*x + 6*r*x**2 Find the second derivative of 12009*y**3 - y**2 - 3*y - 30308 wrt y. 72054*y - 2 What is the second derivative of 3724*f**5*j*w - 20*f**4*j**2 + 112*f*j**2 - 2*f*j*w - 2*f*w - 2*f + 147*j**2 wrt f? 74480*f**3*j*w - 240*f**2*j**2 Find the third derivative of -9*u*w**3 + 2*u*w**2 - 26467*w**3 + 232889*w**2 wrt w. -54*u - 158802 What is the derivative of 44910*s**4 + 2*s + 47518? 179640*s**3 + 2 Find the third derivative of 61*k**4*t + 4*k**3*t**2 - 9*k**3 - 2*k**2*t**2 - 6434*k**2 wrt k. 1464*k*t + 24*t**2 - 54 What is the third derivative of -2*l**2*s**3*z**3 - l**2*s**3 - 653*l**2*z**2 + 134328*l*s**3*z**3 + 2*l*s**3*z**2 + 4*s**3*z**2 + s**3 wrt z? -12*l**2*s**3 + 805968*l*s**3 What is the first derivative of -161*o**2 - 283*o - 406342? -322*o - 283 Find the third derivative of 143666*d**6 + 3*d**2 + 26118. 17239920*d**3 What is the third derivative of 805659*h**3*x**3 - h**2*x**3 - 87*h**2*x - 4*h**2 + 2*h + 2*x**3 wrt h? 4833954*x**3 Find the second derivative of -1301693*c**5 - 1190021*c. -26033860*c**3 What is the first derivative of -225571*u**3 - 48776? -676713*u**2 Find the second derivative of -2*f*p**2 - 2*f*p + 1757*p**2 - 2*p + 4864 wrt p. -4*f + 3514 What is the third derivative of 77608*p**4 + 73*p**2 + 20*p + 5 wrt p? 1862592*p What is the third derivative of 179*h**6*w**3 - 138*h**6 + 2*h**2*w + 175*h*w**3 - h*w - 9*w**2 wrt h? 21480*h**3*w**3 - 16560*h**3 What is the second derivative of -344*d**4*g*o + 604*d**4*o + d*g*o - 73*d*o + 2*d - 34*g*o - g + 2*o wrt d? -4128*d**2*g*o + 7248*d**2*o Find the first derivative of -27*k**3*x + 2*k**3 - 25496*k**2 + 296*k*x + 2*x wrt x. -27*k**3 + 296*k + 2 Differentiate f*o**3*p**2 - 381702*f*p**2 - 88*f - 2013*o**3 with respect to p. 2*f*o**3*p - 763404*f*p Find the second derivative of -651091*i**5 + 476580*i. -13021820*i**3 Differentiate -1016608*k + 274152 with respect to k. -1016608 What is the derivative of 16869*l**4 + 42818? 67476*l**3 Find the second derivative of 62788*z**2 + 60930*z wrt z. 125576 Find the second derivative of -261488*c**2*t**3 + 959988*c + t**3 wrt c. -522976*t**3 What is the third derivative of 9*i**5 + 22699*i**4 + 13385*i**2 - 5*i wrt i? 540*i**2 + 544776*i Find the third derivative of 246*q**3*t**3 - 7*q**3*t**2 - 181*q**3*t - 18054*q**2*t**3 + 10*q**2 + t wrt q. 1476*t**3 - 42*t**2 - 1086*t Differentiate -4*i**3*t + 38*i**3 - 968*i**2*t**4 + 3*t - 1160 wrt t. -4*i**3 - 3872*i**2*t**3 + 3 What is the first derivative of -390621*n + 349329? -390621 Find the third derivative of 800001*w**3 + 79677*w**2 - 5*w. 4800006 Find the first derivative of 3148*d*q*w**2 + 13*d*q*w + 5*d*w**2 + 6*d*w - 11*w**2 + w wrt q. 3148*d*w**2 + 13*d*w Differentiate 28012*a - 17375 wrt a. 28012 Find the third derivative of 11*y**4 + 10280*y**3 + 886028*y**2. 264*y + 61680 Find the third derivative of -27*a**5 + a**4*o - 3*a**3*o**2 + 44*a**2*o**2 - a*o**2 - a + 3 wrt a. -1620*a**2 + 24*a*o - 18*o**2 What is the derivative of 48*l**2 + 8443*l + 536208? 96*l + 8443 What is the first derivative of -3*c**2*l - 2*c**2 - 6*c - 5*h**2*l + 36*h**2 - 4098*h*l - 49*h wrt l? -3*c**2 - 5*h**2 - 4098*h What is the first derivative of -2*d**3 - 567127*d + 238030 wrt d? -6*d**2 - 567127 What is the first derivative of d**3*i - 741*d**3 + 32*d**2 + 138297*d*i**3 wrt i? d**3 + 414891*d*i**2 Find the first derivative of -24848*i**3*p*y**2 - 35*i**3*p + 12*i**3*y**2 - 5*i**2*p + 27*i**2 + 2*i*p + 1 wrt y. -49696*i**3*p*y + 24*i**3*y Differentiate -4*l**4*x - 1202*l**2*x + 3765*x - 6 with respect to l. -16*l**3*x - 2404*l*x Find the second derivative of 918270*h*o**2 - 2*h*o + 4*h - 12009*o - 3 wrt o. 1836540*h What is the first derivative of 149280*t**3*z**2 - 38107*t**3 - 4*t**2 + 2*t*z - 3*t - 3*z**3 wrt z? 298560*t**3*z + 2*t - 9*z**2 Differentiate 4*c**3*d*m**3 - 14*c**3*m**3 + 24812*c**3 - c*m**2 + 347*d*m**3 + 102*d*m wrt d. 4*c**3*m**3 + 347*m**3 + 102*m Find the second derivative of 1811845*b**2 + 4396273*b. 3623690 Find the first derivative of -2*s**4 - 1633*s**2 - 11*s + 57350 wrt s. -8*s**3 - 3266*s - 11 What is the first derivative of -69*g**2*p**2*q + 122*g**2*p**2 + 2*g**2*q + 8958*g*q wrt p? -138*g**2*p*q + 244*g**2*p Differentiate -248*h*m*w + 2*h*m + 5*h*w + 730*h + m*w + 56*m with respect to w. -248*h*m + 5*h + m Find the third derivative of 361*u**3*z**2 + 2*u**3*z + 22*u**3 - 5*u**2 - 1268*u*z - 9*z**2 wrt u. 2166*z**2 + 12*z + 132 What is the second derivative of 2*d**5 + 32*d**4 - 166*d**2 - 300*d + 59 wrt d? 40*d**3 + 384*d**2 - 332 Find the second derivative of 386*a*l**4 - 102*a*l**2 + 3*a*l - 23*a - l**2 - 236*l wrt l. 4632*a*l**2 - 204*a - 2 Find the third derivative of 3*a**2*o*y**2 - 2*a**2*y**3 + 14132*a*y**4 - 657*a*y**2 - o*y**3 + 2*o*y**2 wrt y. -12*a**2 + 339168*a*y - 6*o Find the third derivative of 3*i**5 + 12133*i**4 + i**3 + 1225*i**2 - 5*i - 1. 180*i**2 + 291192*i + 6 What is the third derivative of -191*p**6*q + 27*p**4*q**2 + p**2*q**2 - 269070*p**2*q wrt p? -22920*p**3*q + 648*p*q**2 Find the third derivative of -2*u**4 + 44847*u**3 - 12825*u**2 + 3 wrt u. -48*u + 269082 Find the third derivative of -13515*q*t**4 + 23*q*t**2*u + q*t**2 - 4*t**4*u - t**3 + 1752*t**2*u wrt t. -324360*q*t - 96*t*u - 6 What is the third derivative of -53*b**5 + 2*b**4 + 9814*b**3 - 351984*b**2 wrt b? -3180*b**2 + 48*b + 58884 What is the second derivative of 68459*x**2 - 95747*x? 136918 What is the third derivative of 42465*m**4 + 431*m**2 - 8*m - 1? 1019160*m Differentiate -s*u**2 - 49*s*u + s - 7*u**2 + 141*u - 12541 wrt u. -2*s*u - 49*s - 14*u + 141 Find the second derivative of 99458*q**2 - 338248*q wrt q. 198916 What is the third derivative of 30409*p**6 - p**3 + 45*p**2 + 25*p - 1? 3649080*p**3 - 6 Find the third derivative of 161109*t**6 + 2*t**4 + 1742425*t**2 + 2 wrt t. 19333080*t**3 + 48*t What is the second derivative of -1166*j**2*r**2 - 2*j**2*r + 4*j*r**2 - 4*j*r + 20*r**2 - 1055*r wrt r? -2332*j**2 + 8*j + 40 What is the third derivative of -117084*a**3*q**6 - 2*a**3*q**2 + 108803*a**2*q**2 + 3*a*q**2 - 4*a - 8*q**6 wrt q? -14050080*a**3*q**3 - 960*q**3 Find the third derivative of -
{ "pile_set_name": "DM Mathematics" }
6 What is the thousands digit of 3165? 3 What is the tens digit of 6488? 8 What is the thousands digit of 8064? 8 What is the thousands digit of 11053? 1 What is the thousands digit of 2127? 2 What is the thousands digit of 38359? 8 What is the ten thousands digit of 23779? 2 What is the units digit of 5494? 4 What is the units digit of 821? 1 What is the tens digit of 5218? 1 What is the tens digit of 60814? 1 What is the units digit of 7413? 3 What is the tens digit of 8123? 2 What is the units digit of 972? 2 What is the hundreds digit of 10109? 1 What is the hundreds digit of 37123? 1 What is the hundreds digit of 1010? 0 What is the thousands digit of 2539? 2 What is the units digit of 26375? 5 What is the tens digit of 9402? 0 What is the hundreds digit of 1376? 3 What is the tens digit of 3988? 8 What is the hundreds digit of 727? 7 What is the units digit of 2507? 7 What is the tens digit of 1763? 6 What is the ten thousands digit of 14396? 1 What is the hundreds digit of 12231? 2 What is the thousands digit of 69639? 9 What is the hundreds digit of 563? 5 What is the thousands digit of 5180? 5 What is the hundreds digit of 12725? 7 What is the ten thousands digit of 32908? 3 What is the thousands digit of 3913? 3 What is the hundreds digit of 3351? 3 What is the hundreds digit of 311? 3 What is the thousands digit of 2408? 2 What is the units digit of 270? 0 What is the hundreds digit of 2689? 6 What is the tens digit of 5840? 4 What is the tens digit of 1730? 3 What is the tens digit of 569? 6 What is the hundreds digit of 5805? 8 What is the thousands digit of 12201? 2 What is the hundreds digit of 655? 6 What is the tens digit of 1771? 7 What is the hundreds digit of 844? 8 What is the hundred thousands digit of 145942? 1 What is the thousands digit of 66221? 6 What is the ten thousands digit of 13749? 1 What is the tens digit of 3521? 2 What is the hundreds digit of 1441? 4 What is the units digit of 24896? 6 What is the hundreds digit of 2812? 8 What is the thousands digit of 25330? 5 What is the hundreds digit of 15365? 3 What is the units digit of 2265? 5 What is the hundreds digit of 1482? 4 What is the tens digit of 20918? 1 What is the thousands digit of 4344? 4 What is the hundreds digit of 852? 8 What is the units digit of 1730? 0 What is the units digit of 57045? 5 What is the thousands digit of 13497? 3 What is the units digit of 5639? 9 What is the units digit of 1093? 3 What is the units digit of 1368? 8 What is the ten thousands digit of 48255? 4 What is the tens digit of 11613? 1 What is the thousands digit of 25222? 5 What is the hundreds digit of 890? 8 What is the units digit of 1901? 1 What is the tens digit of 25336? 3 What is the hundreds digit of 18703? 7 What is the units digit of 44325? 5 What is the hundreds digit of 5216? 2 What is the thousands digit of 43452? 3 What is the ten thousands digit of 85529? 8 What is the hundreds digit of 2978? 9 What is the ten thousands digit of 74937? 7 What is the thousands digit of 7898? 7 What is the thousands digit of 19524? 9 What is the hundreds digit of 2281? 2 What is the units digit of 2003? 3 What is the hundreds digit of 4486? 4 What is the tens digit of 11? 1 What is the thousands digit of 10547? 0 What is the hundreds digit of 1277? 2 What is the thousands digit of 174468? 4 What is the thousands digit of 29282? 9 What is the hundreds digit of 8040? 0 What is the ten thousands digit of 131329? 3 What is the hundreds digit of 7091? 0 What is the tens digit of 9421? 2 What is the thousands digit of 4893? 4 What is the hundreds digit of 1368? 3 What is the tens digit of 6165? 6 What is the units digit of 11542? 2 What is the units digit of 30438? 8 What is the units digit of 1976? 6 What is the units digit of 1854? 4 What is the hundreds digit of 6324? 3 What is the thousands digit of 5037? 5 What is the tens digit of 725? 2 What is the tens digit of 507? 0 What is the ten thousands digit of 24397? 2 What is the hundreds digit of 10884? 8 What is the tens digit of 19108? 0 What is the tens digit of 6047? 4 What is the hundreds digit of 174811? 8 What is the units digit of 59942? 2 What is the ten thousands digit of 80325? 8 What is the units digit of 3268? 8 What is the units digit of 4181? 1 What is the units digit of 143421? 1 What is the tens digit of 6779? 7 What is the tens digit of 1919? 1 What is the units digit of 18782? 2 What is the hundreds digit of 6230? 2 What is the thousands digit of 2152? 2 What is the hundreds digit of 961? 9 What is the units digit of 4107? 7 What is the hundreds digit of 25037? 0 What is the hundreds digit of 741? 7 What is the units digit of 1514? 4 What is the units digit of 3080? 0 What is the hundreds digit of 1972? 9 What is the thousands digit of 1255? 1 What is the thousands digit of 9033? 9 What is the hundreds digit of 2852? 8 What is the thousands digit of 47244? 7 What is the units digit of 496? 6 What is the ten thousands digit of 10735? 1 What is the thousands digit of 6970? 6 What is the hundreds digit of 280? 2 What is the tens digit of 2437? 3 What is the tens digit of 39288? 8 What is the units digit of 10477? 7 What is the hundreds digit of 4838? 8 What is the tens digit of 34156? 5 What is the tens digit of 81723? 2 What is the units digit of 1048? 8 What is the hundreds digit of 757? 7 What is the thousands digit of 53672? 3 What is the tens digit of 619? 1 What is the tens digit of 36740? 4 What is the thousands digit of 3578? 3 What is the thousands digit of 73466? 3 What is the units digit of 274? 4 What is the hundreds digit of 33755? 7 What is the hundreds digit of 43102? 1 What is the ten thousands digit of 10072? 1 What is the thousands digit of 106392? 6 What is the hundreds digit of 380? 3 What is the hundreds digit of 1867? 8 What is the units digit of 12? 2 What is the tens digit of 29126? 2 What is the hundreds digit of 3195? 1 What is the tens digit of 679? 7 What is the tens digit of 913? 1 What is the hundreds digit of 10253? 2 What is the tens digit of 36702? 0 What is the tens digit of 60092? 9 What is the tens digit of 14603? 0 What is the hundreds digit of 31069? 0 What is the hundreds digit of 12797? 7 What is the hundreds digit of 2462? 4 What is the hundreds digit of 5262? 2 What is the units digit of 1723? 3 What is the hundreds digit of 552? 5 What is the units digit of 1962? 2 What is the thousands digit of 1365? 1 What is the units digit of 9575? 5 What is the hundreds digit of 2207? 2 What is the hundreds digit of 1838? 8 What is the tens digit of 279? 7 What is the hundred thousands digit of 114993? 1 What is the tens digit of 1977? 7 What is the tens digit of 159347? 4 What is the tens digit of 6362? 6 What is the tens digit of 59020? 2 What is the hundreds digit of 25615? 6 What is the units digit of 4277? 7 What is the units digit of 12767? 7 What is the thousands digit of 5633? 5 What is the ten thousands digit of 24967? 2 What is the tens digit of 3488? 8 What is the thousands digit of 3587? 3 What is the tens digit of 416? 1 What is the thousands digit of 19799? 9 What is the tens digit of 469? 6 What is the units digit of 43023? 3 What is the hundreds digit of 8200? 2 What is the tens digit of 16004? 0 What is the ten thousands digit of 10378? 1 What is the hundreds digit of 3960? 9 What is the hundreds digit of 2258? 2 What is the tens digit of 2461? 6 What is the thousands digit of 6064? 6 What is the hundreds digit of 4867? 8 What is the thousands digit of 66336? 6 What is the tens digit of 10064? 6 What is the hundreds digit of 7687? 6 What is the hundreds digit of 9985? 9 What is the thousands digit of 13461? 3 What is the thousands digit of 13186? 3 What is the tens digit of 150? 5 What is the units digit of 66201? 1 What is the hundreds digit of 231? 2 What is the units digit of 867? 7 What is the thousands digit of 163570? 3 What is the hundreds digit of 103348? 3 What is the ten thousands digit of 38111? 3 What is the units digit of 823? 3 What is the tens digit of 1048? 4 What is the hundreds digit of 19922? 9 What is the tens digit of 1872? 7 What is the tens digit of 8807? 0 What is the units digit of 1471? 1 What is the hundreds digit of 4086? 0 What is th
{ "pile_set_name": "DM Mathematics" }
)/(-20). Let o = t - -55. What is the lowest common multiple of 16 and o? 16 Suppose -2*k - 9 = 5. Let o = 0 - k. Calculate the least common multiple of (1 - (-40)/15) + 6/(-9) and o. 21 Suppose 0 = -c - a - 4, 5*c + 2*a = -9 + 1. Find the common denominator of (-4)/(-10) + (-171)/(-60) and (c + (-1)/(-7))/((-42)/(-735)). 4 Let a be (-12)/10*533/(-3). Let s = -309211093/1624290 - -14/54143. Let c = s + a. Find the common denominator of 119/6 and c. 6 Let f(u) be the third derivative of 1/120*u**6 + 0*u + 0 + 7/6*u**3 + 11/24*u**4 - 4*u**2 + 1/5*u**5. What is the lowest common multiple of f(-11) and 3? 21 Suppose -4*c + 9*c = -4*f + 212, 3*f + c = 148. What is the smallest common multiple of f and 96? 96 Suppose 0 = -o - 2, 4*j - 5*o - 329 = 1509. Suppose 453 = -p - j. What is the common denominator of p/44 - 8/(-44) and 14? 2 Let v(k) = 9*k**2 + 3*k + 2. What is the least common multiple of (-525)/(-210)*(-16)/5*-1 and v(-1)? 8 Let q = 679 - 1401/2. Let y = -36/19 - -9/95. What is the common denominator of q and y? 10 Let g = -7 - -3. Let i be (6/2 + g)*27. Calculate the common denominator of 33/(-54) - (-6)/i and 15/7. 42 Suppose 0 = -5*z + 4*y - 890, 2*z = -2*y - 323 - 15. Calculate the smallest common multiple of 4 and -4 + (-68)/(-16) - z/8. 44 Calculate the common denominator of -37/699 and 1230/100*(-40)/216. 4194 Suppose -7*t + 2*t = -60. Let m be (-2)/(-3 + 2) - -1. Suppose -3 = -m*s + 51. Calculate the smallest common multiple of s and t. 36 Let u(n) = n**3 + 37*n**2 - 85*n - 58. What is the lowest common multiple of 20 and u(-39)? 860 Let r = 5 - 9. Let s be 3/((-12)/r)*-3. Find the common denominator of (-176)/(-24)*s/(-7) and -19. 7 Suppose 3*r + 12235 = -58049. Let v be (r/88992)/((-5)/188). Let q = -4/2781 - v. What is the common denominator of q and -107/12? 60 Let n = -2273/5706 - -3/317. What is the common denominator of n and -58/135? 270 Let o(c) = c + 16. Suppose -7 = 3*u + 5*m + 6, -u - m - 1 = 0. Calculate the lowest common multiple of 14 and o(u). 140 Let d(c) = -c**3 - 9*c**2. Let o be d(-9). Suppose o = 4*f - 1 + 13. Find the common denominator of (140/48 + f)*55 and 1/8. 24 Calculate the least common multiple of (-13)/(-65) + (-69)/(-5) and 63. 126 Let a be (1/8)/((-30)/(-772)). Let g = 2819/420 + a. Let q = 11/7 + g. Calculate the common denominator of 87/10 and q. 10 Suppose 12 = 2*a + 8. Suppose 0 = -5*f + 4*h - 0 + 1, 0 = 4*f + a*h - 6. What is the smallest common multiple of f and 10? 10 Let r be (-2 - -1)/(2/(-58)). Let v = -21 + r. What is the least common multiple of 4 and v? 8 Let d be ((-6)/(-1516))/(6/6589262). Let m = -8693/2 + d. Let t = -5976/4169 + m. Find the common denominator of -48/11 and t. 11 Let q = 368 + -5899/16. What is the common denominator of 77/358 and q? 2864 Suppose 4 = a + 3. Let u be ((-2)/6)/(1/(-3)). Let d = 6 + u. Calculate the least common multiple of a and d. 7 Suppose 2*x - x = 8. What is the least common multiple of x and (-5 - -8)*25/(-15) + 6? 8 Suppose -5*a - 2*h = -100 - 210, -3*a - h = -186. What is the lowest common multiple of 18 and a? 558 Let c = -1542001260593/1738110675378 + 37403/5643473. Let f = -3/7333 + c. What is the common denominator of f and 25/3? 42 Suppose -56*g + 400 = -720. What is the lowest common multiple of 100 and g? 100 Let b(i) = 2*i**2 - 4*i - 10. Let j be b(6). Suppose -4*q + 66 - j = 0. What is the least common multiple of q and 1? 7 Let f(n) = -281*n**2 - 2*n. Let g be f(-3). Let p = -1585 + g. Let a = p + 16331/4. Find the common denominator of 23/3 and a. 12 Let w(k) = -k**3 + 3*k**2 + 2*k + 2. What is the lowest common multiple of 20 and w(3)? 40 Find the common denominator of 82/45 and 7 + 6 + 2428/(-180). 45 Let d(g) = 11*g**3 + 1. Let h(s) = 7*s + 6. Suppose -3*k = -0*k - 6. What is the smallest common multiple of h(k) and d(1)? 60 Find the common denominator of ((-5)/150)/(-1*(-8)/(-3020)) and (-159)/18*6/4. 12 Let y be 5/(-10)*3*-18. Suppose 3*m = 6*m - y. Calculate the least common multiple of m and 29. 261 Suppose 10*j - 4*m = 5*j - 67, -4*m = 5*j + 83. Find the common denominator of 67/6 and ((-2)/(-6))/1 - (-26 - j). 6 Suppose -14 = 2*n - g + 17, 0 = 5*g + 15. What is the common denominator of -49/3 and 1/(-5)*1 - n/(-190)? 114 Let q be 9/(-3 - (-27)/8). Let z be (-8)/2*(-2)/4. Calculate the common denominator of (z - 380/q) + -3 and 41/2. 6 Suppose -17 - 8 = -y + 2*k, -y = -3*k - 30. Suppose y = d - 0*d - 5*i, 5*d = 2*i + 6. Calculate the common denominator of 25/4 and d + 198/15 + -2. 20 Let w = 25885/3306 - 7/174. Let j = w + -1439/114. What is the common denominator of j and -2 + -2 + 57/(-6)? 6 Calculate the common denominator of (2/(-5) + 267/630)*(-5952)/(-128) and (-2)/4 + 220/48. 84 Let v be -326 - ((-3)/(-1) - 2). Let y = -165 - v. Let p = y + -1281/8. What is the common denominator of p and -87/22? 88 Let t(f) = -3*f + 2. Suppose -4*k - 7 = -3*q + 2*q, q - 3 = 2*k. Let g = 21 + -73/2. Find the common denominator of g and t(q). 2 Let m(w) = 40*w - 30. Calculate the smallest common multiple of 36 and m(3). 180 Find the common denominator of 1560/(-800) + (2 + -2 - 0) and 41/8. 40 Let f = 1 + 40. Suppose -3*l = -4*o + 79, -2*o - l + f = -2*l. Calculate the least common multiple of o and 6. 66 Let u be 40/50*10/(-4). Find the common denominator of u - 1 - 63/20 and -121/20. 20 Let g(x) = x**3 - 13*x**2 + 2*x + 17. Let y be g(13). Let m = y + -35. Suppose 6 = -3*j, m = o - 4*j - 10. What is the lowest common multiple of 8 and o? 40 Suppose 0 = -5*s - 1 + 66. Let c(b) = b**2 - 15*b + 18. Let q be c(s). Let o(j) = -j**2 - 8*j + 2. Calculate the least common multiple of 14 and o(q). 14 Suppose 4*l - 3 - 5 = 5*r, -2 = -l - 2*r. Let i(y) = -5 - 4*y**l + 5 - 2 - y**3 + y. What is the least common multiple of i(-5) and 6? 18 Suppose -x = 3*x - 16. Suppose -6*h = -3*h - 2*o - 2, x*h - o = 11. Let g(a) = -20*a - 6. What is the smallest common multiple of h and g(-1)? 28 Let h = 23989/5 - 8188. Let w = h - -204577/60. Let k = -157/12 - w. Calculate the common denominator of k and -41/9. 18 Let g(y) = 3*y**2 + 9*y - 9. Calculate the least common multiple of 105 and g(2). 105 Let v be (-4)/10 - (-24681)/90. Let d = v + -272. Find the common denominator of 69/20 and d. 60 Suppose 3230308 = -2*w - 8318322. Let v = w - -69333383/12. Let u = v - 3472. Find the common denominator of u and 33/4. 12 Let t = -413176 - -28095403/68. Let p = t - -190/51. What is the common denominator of (1*(-62)/(-4))/2 and p? 12 What is the common denominator of 34/33 and 2/(-2 - -4) + 238/459? 297 Let h be 6/(-184)*(-7842)/45. Let t = h - 18/23. Find the common denominator of t and 0 + 2 - 1392/256. 80 Let v = 10 + -7. Suppose c = 3*c - 4*q, v*c = -q - 7. What is the smallest common multiple of 14 and -1 + -2 - (c + -17)? 112 Suppose 9*r + c = 4*r + 37, 3*c = -3*r + 27. Let i(t) = -3*t + 27. What is the lowest common multiple of 10 and i(r)? 30 Let w = -800327/326 - -2455. Let d = 6037/652 - w. Let a = -3259/7 + 464. Calculate the common denominator of a and d. 28 Suppose 14*l + 1 = 13*l. What is the least common multiple of 14 and (3*-2)/(-1) - l? 14 Let g be (-4)/(-14) + (-108)/(-63). Suppose -147 = -w - 4*v, -2*w - 3*v - g*v + 282 = 0. Let m = 425/4 - w. Find the common denominator of m and 121/6. 12 Let l = -382 - -398. Suppose 70 = 2*a + 4*z + 6, -5*a + 4*z + 104 = 0. Let s = 44 - a. What is the least common multiple of l and s? 80 Let q(o) = 94*o + 35. What is the least common multiple of q(0) and 35? 35 Let m = -10177/1540 + 248/35. What is the common denominator of m and -73/2? 44 Let v be 9/27 + (-2)/6. Suppose -a - 4*a = v. Let n(k) = -2*k + 6. Calculate the smallest common multiple of 6 and n(a). 6 Let r = 3/3712 + 157727/40832. Let d be (2 + (-3)/2)*(2 - -6). Calculate the common denominator of r and (-129)/d - (-1 + 30/24). 22 Suppose 12 = -4*f + 5*f. Suppose -19*k - 25 = -14*k, 3*n = -5*k + 20. Calculate the lowest common multiple of n and f. 60 Let g = 67 - -49. Let s = g - 110. Calculate the lowest common multiple of 7 and s. 42 Let d = 3037/4 + -740. Let w be 4 - ((-12)/(-4) - -21). Calculate the common denominator of w/(-5) - 121/10 and d. 20 Suppose 5*s - 10 = 0, 0*s = q + 2*s - 14. Suppose 6*v = 7*v + 10. Let j = v - -21. What is the smal
{ "pile_set_name": "DM Mathematics" }
2}. 3/110 Two letters picked without replacement from pgpsgqgrgjqprqg. Give prob of picking 1 p and 1 q. 3/35 Three letters picked without replacement from {l: 15, c: 4}. What is prob of picking 3 c? 4/969 Two letters picked without replacement from rrrrwrrrrwrrwrrrrww. What is prob of picking 2 r? 91/171 Two letters picked without replacement from {y: 4, i: 12, n: 1, q: 2}. What is prob of picking 1 q and 1 i? 8/57 Three letters picked without replacement from iiiiipipiiii. Give prob of picking 1 p and 2 i. 9/22 Calculate prob of picking 3 j and 1 y when four letters picked without replacement from {j: 3, y: 4}. 4/35 Two letters picked without replacement from oxvnixb. What is prob of picking 1 n and 1 i? 1/21 Four letters picked without replacement from {u: 1, m: 2, f: 2, z: 2, w: 1, e: 1}. Give prob of picking 1 m, 2 f, and 1 e. 1/63 What is prob of picking 4 k when four letters picked without replacement from ddkdddkddkdddddddkkd? 1/969 What is prob of picking 1 q and 3 n when four letters picked without replacement from {n: 8, q: 1, f: 2, k: 2}? 56/715 Calculate prob of picking 2 n and 2 f when four letters picked without replacement from {f: 6, n: 13}. 195/646 Four letters picked without replacement from {e: 3, b: 1, f: 2, g: 4, u: 3, a: 2}. What is prob of picking 2 g, 1 a, and 1 f? 8/455 What is prob of picking 1 x and 1 v when two letters picked without replacement from xxvxxvxx? 3/7 What is prob of picking 4 o when four letters picked without replacement from {n: 5, i: 4, o: 6}? 1/91 What is prob of picking 2 l when two letters picked without replacement from {l: 2, b: 6}? 1/28 Calculate prob of picking 1 t and 3 r when four letters picked without replacement from ddqrrrtdptdddd. 2/1001 What is prob of picking 2 t when two letters picked without replacement from {l: 1, t: 3, o: 4, b: 9, f: 1}? 1/51 Three letters picked without replacement from iiqqiqiiiqqiq. What is prob of picking 1 q and 2 i? 63/143 What is prob of picking 1 b, 1 l, and 2 s when four letters picked without replacement from {s: 4, q: 1, v: 11, b: 1, l: 1}? 1/510 Two letters picked without replacement from osg. What is prob of picking 1 g and 1 s? 1/3 Calculate prob of picking 3 s and 1 x when four letters picked without replacement from xssssxsssxxsx. 56/143 Four letters picked without replacement from {i: 9, n: 7}. Give prob of picking 1 i and 3 n. 9/52 Calculate prob of picking 1 d and 1 l when two letters picked without replacement from ldcwt. 1/10 Two letters picked without replacement from wwewwwjwwwewww. Give prob of picking 1 e and 1 j. 2/91 Calculate prob of picking 1 a and 3 o when four letters picked without replacement from ojjjuaajjojojjojjjj. 2/969 Calculate prob of picking 4 d when four letters picked without replacement from {t: 6, d: 7}. 7/143 Calculate prob of picking 1 r and 3 p when four letters picked without replacement from {p: 3, r: 4}. 4/35 Two letters picked without replacement from pqpqojl. What is prob of picking 1 j and 1 o? 1/21 What is prob of picking 1 n and 2 g when three letters picked without replacement from gngnuguuuuguguugng? 21/272 Calculate prob of picking 2 w when two letters picked without replacement from {e: 1, w: 2, h: 2, b: 1, l: 1}. 1/21 Calculate prob of picking 3 m and 1 b when four letters picked without replacement from {b: 2, m: 3, l: 2, u: 4}. 1/165 Four letters picked without replacement from {a: 5, m: 3, n: 4}. What is prob of picking 2 a and 2 m? 2/33 Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {f: 4, t: 11, i: 1, l: 3}. 11/57 Four letters picked without replacement from {g: 1, h: 1, p: 4, m: 1, u: 3, s: 2}. Give prob of picking 2 m and 2 p. 0 Four letters picked without replacement from eeceecc. What is prob of picking 2 c and 2 e? 18/35 Three letters picked without replacement from {n: 6, x: 9, l: 1, m: 3}. What is prob of picking 2 l and 1 x? 0 Calculate prob of picking 2 m when two letters picked without replacement from {w: 4, z: 1, y: 2, m: 1}. 0 Two letters picked without replacement from ayzzzyzzaazzzazz. What is prob of picking 1 z and 1 y? 1/6 Three letters picked without replacement from rsrrsrr. What is prob of picking 3 r? 2/7 What is prob of picking 2 a and 1 y when three letters picked without replacement from {y: 12, a: 2, c: 5}? 4/323 What is prob of picking 1 u, 1 v, and 1 j when three letters picked without replacement from ububvebujuxuxjuuu? 2/85 What is prob of picking 2 n and 1 w when three letters picked without replacement from znnmzzmnnnwm? 1/22 Two letters picked without replacement from {j: 7, r: 3, i: 3}. What is prob of picking 1 r and 1 i? 3/26 Two letters picked without replacement from {t: 4, g: 1, k: 3}. What is prob of picking 2 t? 3/14 Four letters picked without replacement from {h: 4, p: 7, v: 4, y: 3}. Give prob of picking 2 y, 1 p, and 1 h. 7/255 What is prob of picking 2 a and 1 k when three letters picked without replacement from eerrakbggaeaagkr? 3/140 Four letters picked without replacement from szszsssszsssszzszs. Give prob of picking 3 s and 1 z. 22/51 Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {i: 11, u: 5, f: 1}. 5/136 Three letters picked without replacement from nnntprrptxnnnnenrpn. Give prob of picking 1 p and 2 t. 1/323 Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {v: 1, w: 2, e: 2, z: 1, l: 1, r: 2}. 1/18 Two letters picked without replacement from {d: 2, m: 2, r: 8, x: 2, a: 1}. What is prob of picking 1 m and 1 d? 4/105 Calculate prob of picking 3 p when three letters picked without replacement from pgpgp. 1/10 Two letters picked without replacement from malttlttmlm. Give prob of picking 2 l. 3/55 What is prob of picking 1 x, 1 l, and 2 u when four letters picked without replacement from lhxllcuhlhuhxlhl? 3/455 Calculate prob of picking 1 z and 1 k when two letters picked without replacement from kmkzzkkmzz. 16/45 Calculate prob of picking 2 j and 1 n when three letters picked without replacement from {n: 1, s: 2, j: 2, f: 1, d: 1}. 1/35 Two letters picked without replacement from {e: 7, z: 3}. Give prob of picking 2 e. 7/15 Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {y: 2, p: 4, b: 2, m: 1}. 1/84 Three letters picked without replacement from {v: 2, u: 3, e: 13}. Give prob of picking 1 v and 2 e. 13/68 What is prob of picking 1 n and 2 u when three letters picked without replacement from {n: 1, w: 1, u: 9}? 12/55 What is prob of picking 2 q when two letters picked without replacement from {p: 3, u: 3, l: 3, q: 5, r: 2}? 1/12 Two letters picked without replacement from {e: 3, j: 3}. What is prob of picking 2 j? 1/5 Calculate prob of picking 1 e and 2 c when three letters picked without replacement from tecttteetecccc. 10/91 Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {v: 7, n: 2, e: 2, d: 1, o: 1, m: 1}. 3/52 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from pqvpyvqgpgsy. 2/33 Calculate prob of picking 2 e and 1 s when three letters picked without replacement from {s: 11, e: 3}. 33/364 Two letters picked without replacement from vvvgvkgvvkgvggv. What is prob of picking 1 v and 1 g? 8/21 Four letters picked without replacement from drmmecrd. Give prob of picking 1 r, 1 e, and 2 m. 1/35 Four letters picked without replacement from {f: 17, k: 3}. Give prob of picking 1 k and 3 f. 8/19 What is prob of picking 3 q when three letters picked without replacement from qqiqiiiiqiqiiiii? 1/56 Calculate prob of picking 1 k and 1 z when two letters picked without replacement from zzmmkvzz. 1/7 What is prob of picking 1 q and 1 p when two letters picked without replacement from {q: 7, p: 9}? 21/40 What is prob of picking 2 m when two letters picked without replacement from kkkmkkmk? 1/28 Three letters picked without replacement from {o: 4, h: 2, i: 7, j: 5}. What is prob of picking 1 h, 1 i, and 1 o? 7/102 Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {p: 9, r: 4, i: 1, y: 3, c: 2}. 1/57 Calculate prob of picking 3 q when three letters picked without replacement from {m: 9, q
{ "pile_set_name": "DM Mathematics" }
earest to 0.1 in 7, -2/73, 0.5, -0.1? -2/73 Which is the closest to -2? (a) -2/7 (b) -5 (c) 5 (d) 0.1 a Which is the closest to -0.2? (a) -1 (b) 1/2 (c) 5 (d) -2 b Which is the nearest to 2/5? (a) -2/17 (b) -1/5 (c) 8.5 a Which is the closest to 0.2? (a) 0.86 (b) 2/7 (c) -1 (d) 2 b Which is the closest to 0.1? (a) 5 (b) 14/13 (c) -4 b What is the nearest to 3 in -0.3, 6, 2/51? 2/51 Which is the nearest to -2? (a) 6/5 (b) -0.1 (c) -0.08 b Which is the nearest to -1/4? (a) 20 (b) -4 (c) -2/9 (d) -2 c What is the closest to 1 in 1/6, -12/131, -1, -0.1? 1/6 What is the nearest to 0.4 in -5, 6, 1/2? 1/2 What is the nearest to 18 in -4, -6, 2/13? 2/13 Which is the nearest to 0.06? (a) -2/7 (b) 0.2 (c) 1/7 c Which is the closest to 7? (a) -1 (b) -0.4 (c) 0.3 (d) -2 c Which is the nearest to -0.2? (a) -4 (b) -2 (c) 205 b Which is the nearest to -2/7? (a) -0.064 (b) -4 (c) 22 (d) 3 a Which is the closest to 2/7? (a) -3 (b) -8 (c) -1 (d) 3 c What is the nearest to -0.4 in -13, 1, -0.4? -0.4 What is the closest to 2/7 in 32, -9, -4? -4 Which is the nearest to -140/11? (a) -1 (b) -6 (c) -0.5 b What is the closest to 5 in 1/2, -5, -10, -15/8? 1/2 Which is the closest to 0? (a) 0.07 (b) 3/7 (c) -57 (d) 1 a Which is the closest to 1.19? (a) -4 (b) 12 (c) -5 a Which is the nearest to -1? (a) -0.07 (b) -0.1 (c) 0 (d) -3/2 d Which is the closest to -0.1? (a) -513 (b) 2/17 (c) 1/6 b What is the nearest to -0.72 in 2/7, -0.2, 1/5? -0.2 Which is the closest to 0? (a) 0.4 (b) -34 (c) 1 a What is the nearest to -3 in 0.0203, 2, 1/2? 0.0203 What is the closest to -3 in 0, 0.4, 0.9? 0 What is the nearest to 1/4 in -0.04, -4, 4? -0.04 Which is the closest to 0? (a) -14 (b) -3 (c) -0.5 (d) -0.1 d What is the nearest to -2/7 in 18, 0.7, -1/7? -1/7 What is the nearest to 5/3 in 2/15, -0.5, -2/5? 2/15 Which is the closest to 0? (a) 4 (b) 97 (c) 0.5 (d) -3 c Which is the nearest to -1? (a) 1/3 (b) 1/10 (c) 7/186 c What is the closest to 1/2 in 0.4, 0.04, 4? 0.4 What is the closest to 0 in 2/13, -0.02, -5, 0.4? -0.02 What is the nearest to -2 in 17, 0.4, 0.5? 0.4 What is the closest to 1 in -19, 0.4, -2, 0.08? 0.4 Which is the nearest to 1? (a) 8 (b) -2/5 (c) -18 b What is the nearest to -2 in 5/4, 0, -69, 1/4? 0 What is the nearest to 3 in 1, 0.5, 2/7, -44? 1 What is the closest to 2 in 4, 28, 1? 1 Which is the nearest to 0? (a) -0.2 (b) -3 (c) 25/8 (d) -4 a What is the closest to 2.2 in -1/10, 1, 0.3? 1 What is the nearest to -0.1 in -0.1, 0.4, -5, -21/5? -0.1 Which is the closest to -1? (a) 2/9 (b) -4 (c) 2/19 (d) -4/13 d Which is the closest to -3/4? (a) 7 (b) -3 (c) 0 c What is the closest to 2/5 in -5, 5, -1/5, -59? -1/5 Which is the nearest to -0.2? (a) -0.08 (b) -0.3 (c) -0.07 (d) 5 b Which is the closest to -1/4? (a) -27 (b) -3 (c) -1/2 c Which is the nearest to -1? (a) -3 (b) -13 (c) -1/9 (d) -3/7 d Which is the closest to -1.3? (a) 2 (b) -2 (c) -2/7 b What is the nearest to 0.1 in 0.4, -0.019, -0.8? -0.019 What is the nearest to 3 in -2/13, 0.2, -0.2? 0.2 Which is the closest to 3? (a) -1 (b) -3 (c) -0.11 (d) -4/7 c What is the nearest to 1 in -2/9, 9, -1/2? -2/9 Which is the nearest to -1? (a) 5 (b) -12 (c) -7/4 c What is the closest to -0.2 in 5, -0.3, -3/43? -0.3 What is the closest to -0.02 in -2/7, 3, 0.2? 0.2 Which is the closest to -0.1? (a) 2/9 (b) -3 (c) -5 a Which is the closest to -0.2? (a) -4 (b) 1/9 (c) -2 (d) 4 b Which is the nearest to -0.2? (a) 3/17 (b) 0.3 (c) -2 (d) 1 a Which is the closest to -8/33? (a) 0.2 (b) 0.13 (c) 0.5 b Which is the nearest to 2/9? (a) 0 (b) -4 (c) 2 (d) 6 a Which is the nearest to 0.1? (a) 1/8 (b) 1 (c) 57 (d) -0.3 a What is the closest to -1/2 in 0, 3, -18/13? 0 What is the nearest to 3 in 46, -4/3, -0.5, 0.4? 0.4 Which is the closest to 89? (a) -1 (b) 5 (c) -5 (d) -6 b Which is the nearest to 0? (a) -5 (b) -3 (c) -0.1 (d) -0.18 c What is the nearest to 2/49 in -2/5, -0.2, 3, -5? -0.2 Which is the closest to -6? (a) -0.5 (b) -0.2 (c) 5 (d) 0.06 a Which is the nearest to 1? (a) 1 (b) 3/17 (c) 0.3 (d) -0.2 a What is the closest to 0.24 in 0.08, 4, 10, 1? 0.08 What is the closest to 1/4 in 0.02, -2/57, 2/7? 2/7 What is the closest to 1/2 in -2/11, 0, -4/5? 0 What is the nearest to -3 in -5, -19, 0? -5 Which is the nearest to -3? (a) 36 (b) -5 (c) 0.3 (d) 0.4 b Which is the closest to 1.3? (a) -0.4 (b) 4 (c) -1/7 (d) 2 d What is the nearest to 4 in 0.3, 0.2, -2/17, 0? 0.3 What is the nearest to 2/3 in 1/9, -3, -4? 1/9 What is the closest to 3/4 in -9/4, -2, 5? -2 What is the nearest to -169 in 0, -3, -2? -3 Which is the nearest to 1? (a) -69 (b) -1 (c) 0.4 c Which is the closest to 245? (a) 2/7 (b) 3 (c) 0.4 (d) -1 b Which is the closest to -1/4? (a) 4 (b) 2 (c) 0.1 (d) 2/33 d What is the nearest to -1 in 2/13, -93/7, 5? 2/13 Which is the closest to 0.2? (a) -5 (b) 2/3 (c) -1/6 (d) -102 c What is the nearest to -2/5 in -2, -4, -0.3, 1? -0.3 Which is the closest to -0.1? (a) -2/15 (b) 5 (c) 21 a Which is the closest to 0? (a) 2/17 (b) -2 (c) 21 a What is the closest to 0 in -3/5, 0.277, -3? 0.277 What is the nearest to -2.1 in -2/13, 1, -5? -2/13 What is the nearest to -0.2 in -17, 2/23, -0.4? -0.4 What is the closest to 2/7 in -1, 2/7, 3/2, -403? 2/7 What is the nearest to 0.2 in 24, -16, 2/21? 2/21 What is the closest to -1 in 0.07, 3, 22/15, 0.2? 0.07 Which is the closest to 0.1? (a) 3 (b) -358 (c) -0.1 c Which is the closest to -1? (a) 2/3 (b) -1 (c) 24.9 b Which is the closest to 1/3? (a) 4 (b) -52 (c) 3/7 c Which is the nearest to 3/4? (a) -0.3 (b) 3 (c) 230 (d) 0.4 d What is the nearest to -0.04 in 4, -0.06, 0.3? -0.06 What is the closest to -3/7 in 0.19, 1, -5, 5? 0.19 Which is the closest to 10? (a) -6/5 (b) -3/4 (c) -3 b What is the nearest to 0.04 in -0.3, -12, 1/2? -0.3 Which is the closest to -4? (a) 0.09 (b) -0.1 (c) -1.4 c What is the closest to 0.1 in 5, -0.1, -0.01? -0.01 What is the nearest to -2/7 in -3, -165, 0, -5? 0 What is the nearest to -4 in 4, -337, 0.3? 0.3 What is the closest to 0.1 in 1/10, -1/5, -0.04? 1/10 What is the nearest to -4 in -5, 0.2, -2? -5 Which is the nearest to 1? (a) -4 (b) 4 (c) -0.3 c What is the nearest to 1 in -9, -0.4, 1/4, -2? 1/4 What is the closest to 0 in -33, -0.1, -2, 1? -0.1 Which is the nearest to -2? (a) -2/13 (b) -1 (c) -11 b What is the nearest to 2/7 in -3/4, -24, -5? -3/4 What is the nearest to 0.3 in -1/10, 3/4, 2/9, -1/6? 2/9 What is the nearest to 2 in 4/3, -5, 2, 4? 2 What is the closest to -90 in -0.3, 3, -0.1? -0.3 What is the nearest to 3 in 2/5, 0.5, 4, -1/8? 4 Which is the nearest to -6/7? (a) -6/5 (b) -0.3 (c) 0 a Which is the closest to 0.4? (a) 1.7 (b) -2 (c) 0.4 c Which is the closest to 1? (a) -0.4 (b) -1 (c) 0.3 (d) -0.44 c What is the closest to 8/3 in -0.1, -4, 3, -0.8? 3 Which is the nearest to 1/2? (a) 3/8 (b) -2 (c) 2 (d) -1/3 a What is the closest to -7 in -1/11, -0.1, 0, -1? -1 Which is the nearest to 0.1? (a) -1/4 (b) -0.03 (c) -10 b What is the closest to -0.1 in -1/4, 3, 4/3, 6? -1/4 What is the closest to 1/3 in 47, 0.2, -2/11? 0.2 What is the nearest to 0.06 in 0.0041, -5, -0.4? 0.0041 What is the closest to -0.2 in -1, 12, -0.5, 1/4? -0.5 Which is the closest to -0.1? (a) 2/9 (b) 0 (c) -4 b Which is the nearest to 0? (a) 1 (b) 0 (c) 0.5 (d) -49 b Which is the nearest to -1? (a) 0.3 (b) -7 (c) -8.9 a What is the nearest to 0.06 in -0.3, -0.2, 0.1? 0.1 Which is the nearest to 2? (a) -1 (b) 0.4 (c) 4 (d) -1/5 b Which is the closest to -0.1? (a) -2.03 (b) 0.4 (c) -3 b Which is the closest to 2.5? (a) -2/43 (b) -4 (c) -1 a Which is the nearest to -0.1? (a) 5 (b) -2/15 (c) -1 b Which is the closest to 1? (a) 3/4 (b) -0.7 (c) -4 (d) 1/2 a Which is the closest to -3? (a) 4 (b) 0.08 (c) 8 (d) 1 b What is the nearest to 3 in 4, -211, 0.2? 4 Which is the nearest to -88? (a) -0.3 (b) 3 (c) -0.5 c Which is the nearest to 2? (a) 1/4 (b) -4 (c) -272/3 a Which is the nearest to -0.2? (a) 4 (b) 0 (c) -1 (d) 0.4 b What is the nearest to 1 in -4, 3/8, -1/3, 1/8? 3/8 What is the nearest to -0.1 in
{ "pile_set_name": "DM Mathematics" }
ided by j? 6 Let g(o) = 14*o**2 + 2*o + 2. Let t(j) = -4*j + 97. Let s be t(25). Calculate the remainder when g(s) is divided by 64. 58 Let d(x) = x**2 - 5*x - 1. Let v be d(6). Calculate the remainder when 245 is divided by v + 15 - (8 + -1). 11 Let v(r) = -211*r**2 + 2*r + 212*r**2 - 2 + 2*r. Let i be v(-4). What is the remainder when 37 is divided by (-9 - -21) + i/4*-2? 11 Calculate the remainder when 27 - 6/(-3*1) is divided by -1*(207/(-63))/23 - 207/(-21). 9 Suppose -5*t + 41 = 31. Suppose -6*g = -g + t*s - 52, -2*s = -2. Suppose 0 = -5*n + 4*r - g, -n - 3*r = -1 - 16. Calculate the remainder when 3 is divided by n. 1 Let g = -32383 + 33608. What is the remainder when g is divided by 270? 145 Calculate the remainder when 517 is divided by (4/2 - 1)/(10/560). 13 Let m be (-226 - 10)*3/4. Let k = m - -194. What is the remainder when 64 is divided by k? 13 Let c(w) = w**3 + 12*w**2 - 13*w - 42. Let x be c(-10). Suppose -3 - 3 = -3*i. What is the remainder when (-2 - -1) + (x/i)/3 is divided by 16? 15 What is the remainder when 676 is divided by ((-40)/(-30))/((-180)/(-13095))? 94 Let n = 12495 - 9178. Calculate the remainder when n is divided by 42. 41 Let r(p) = 2*p**3 + 26*p**2 + 15*p + 28. Let s be r(-12). Let z = s + 114. Calculate the remainder when z is divided by 51. 46 Suppose -143*y = -5*o - 140*y + 231, -3*o - 5*y = -125. Calculate the remainder when 5082 is divided by o. 42 Suppose -24*h + 837 = 2805. Let z = h - -127. What is the remainder when 128 is divided by z? 38 Let g(h) = 3*h**3 - 8*h**2 - 15*h - 4. Let a be g(8). Suppose 2424 = 2*p + a. Suppose 4*k = 10*k - p. What is the remainder when k is divided by 26? 23 Let u(p) = 3*p**2 + 65*p + 240. What is the remainder when 1201 is divided by u(-4)? 25 Suppose 217*w = 228*w - 792. Calculate the remainder when 205 is divided by w. 61 Suppose 208*p = 29*p + 22554. What is the remainder when p is divided by 49? 28 Suppose 3*f = 3*d + 465, 2*d - 125 = -f - 3*d. Suppose 0 = -7*b - f + 213. Let m(x) = 2*x**2 + 5*x - 4. What is the remainder when m(-5) is divided by b? 3 What is the remainder when 266 is divided by (502/(-6))/((-23)/3) + 2/23? 2 Let d = 25590 - 25489. Calculate the remainder when 325 is divided by d. 22 Let r(b) = 4*b - 7. Let n be r(5). Let m = 24 - n. Suppose -18*h = 15*h - 59*h + 1664. Calculate the remainder when h is divided by m. 9 Let n = 30630 + -30408. Calculate the remainder when 530 is divided by n. 86 Let n = 194 + -196. What is the remainder when (15/n)/((-3)/10) is divided by 13? 12 Let o(l) = l**2 + 13*l - 53. Let z be o(-20). Suppose 6*y - 159 = z. What is the remainder when 696 is divided by y? 40 Let i(p) = p**2 - 6*p - 20. Let h be i(9). Let g = h - -11. Let s = -216 + 222. What is the remainder when g is divided by s? 0 Let x(a) = -2*a - 1. Let y be x(1). Let c(k) = 63*k - 188. What is the remainder when c(4) is divided by (-2 - y - 3) + 16? 8 Let z(p) = -124*p + 24. Let q be z(-1). Let s = q + -137. Calculate the remainder when s is divided by 9. 2 Let w = -319899 + 319928. Let m = 122 + -28. Calculate the remainder when m is divided by w. 7 Let v be -6*(4 - (-876)/18) - -1. Let t = 346 + v. Suppose 260 = 3*l - 475. Calculate the remainder when l is divided by t. 28 Let p = 1 + 2. Suppose -5*o + 3*d = -2*d - 25, p*d = -2*o. Suppose u + 19 = 2*s - 0, 0 = 2*s + 4*u - 14. Calculate the remainder when s is divided by o. 0 Suppose 4 = p - 5*f, 4*f + 47 = 3*p + 13. Suppose p*q = -256 + 480. What is the remainder when 139 is divided by q? 11 Suppose 379 = 2*w + 5*r, -5*w - 2*r + 437 + 563 = 0. Calculate the remainder when 212 is divided by w. 10 What is the remainder when (11 - 0)/((-14 - 2080/(-144))/12) is divided by 81? 54 Let t(r) = 189*r - 2. Let z be t(2). Let g = z - 343. Calculate the remainder when g is divided by 9. 6 Let r(q) be the second derivative of 2*q**3/3 - 30*q**2 + 25*q. Let t be r(19). Suppose 4 = l - t. What is the remainder when l is divided by 13? 7 Let t be (-48)/120 + 227/5. Suppose -4*j + 7 = -t. Let v = -115 - -136. What is the remainder when v is divided by j? 8 Let f(r) = -11*r - 350*r**3 + 179*r**3 - 10 + 170*r**3 - 5*r**2. Calculate the remainder when f(-5) is divided by 25. 20 Let o(b) = 10*b - 3. Suppose -22 = -c + 4*w, 0 = -2*w - 3*w - 10. Suppose c*i - 53 = 59. Calculate the remainder when o(i) is divided by 26. 25 Let n be (18/(-8))/(3 + 189/(-56)). Suppose n*f = 597 - 423. Suppose 3*h - 14 = -y, 3*y - 2 - 16 = 3*h. Calculate the remainder when f is divided by y. 5 Let f(g) = 51*g**2 + 498*g - 18. What is the remainder when f(-13) is divided by 15? 12 Let g = 13976 + -13957. What is the remainder when 75 is divided by g? 18 Let r(z) = 16*z + 352. Let c(n) = 3*n + 70. Let t(s) = 28*c(s) - 6*r(s). Calculate the remainder when 115 is divided by t(-17). 11 Let b be 2*((-18)/6)/((-3)/(-16)). Let k(m) = -m**2 - 34*m - 44. Suppose -3*v = 3*h - 18 - 36, -5*v = -25. Calculate the remainder when k(b) is divided by h. 7 Let a(o) = o**3 + 24*o**2 - o - 18. Let u be a(-24). What is the remainder when 8*u/(-12) + 27 is divided by 13? 10 Suppose 36889 = 56*z - 57863. What is the remainder when z is divided by 429? 405 Suppose -2*w = -0*w + 12. Calculate the remainder when 77 is divided by -6*(4/3)/(w/30). 37 Suppose 5*m - 47 = 33 - 15. Calculate the remainder when ((-18)/(-12))/(2/48) is divided by m. 10 Let i(m) = -6*m**3 - 3*m**2 + 3*m + 20. Let t be i(-6). Suppose -3*b - 11*b = -t. Calculate the remainder when b is divided by 30. 25 Suppose -1347*p + 1355*p - 216 = 0. What is the remainder when 1385 is divided by p? 8 Let i = 446 + -358. Suppose -3*c + c = -i. What is the remainder when 172 is divided by c? 40 Suppose -c - 1 = -4. Let v = 110 - 106. Suppose 10*z = -v*z + 42. What is the remainder when c is divided by z? 0 Calculate the remainder when 44/(-132) - (-2848)/12 is divided by 20. 17 Calculate the remainder when (1 + -2)*13/((-39)/1902) is divided by 90. 4 Suppose -1026*r - k + 620 = -1025*r, k = r - 636. What is the remainder when r is divided by (6/8)/(2/56)? 19 Suppose 102 = b + f, -3*f = b + 4*b - 506. Suppose 2*n = -o + 35, -3*o - n + 0*n = -b. Calculate the remainder when 192 is divided by o. 27 Suppose -164 = -7*y - 101. Let t(h) = 2*h**2 - 4*h - 3. Calculate the remainder when t(y) is divided by ((-3)/6)/((-2)/100). 23 Calculate the remainder when 101 - 2*32/(4 - 12) is divided by 6. 1 Suppose -16*n - 73 = -345. Suppose 4*p = -n*p + 2163. Let d(g) = 3*g - 31. What is the remainder when p is divided by d(19)? 25 Suppose 164 - 170 = -2*k, 0 = 4*g - 2*k - 270. Calculate the remainder when 516 is divided by g. 33 Suppose -5*i = -4*u - 0*i + 1624, -1191 = -3*u - 3*i. Let k(d) = -d**3 + 18*d**2 + 17*d + 96. Calculate the remainder when u is divided by k(19). 53 Let f = -21 - -39. Suppose -4*m - 8 = 0, -2*h + 5*m - 452 = -638. What is the remainder when h is divided by f? 16 Let v(c) = -8*c**2 - 64*c - 23. Calculate the remainder when 1186 is divided by v(-7). 31 Suppose 9 - 17 = 4*b. Calculate the remainder when 46 - 31 - 10*1 is divided by b/(-4)*(-32)/(-8). 1 Calculate the remainder when (6344/468)/((-2)/(-72)) is divided by 19. 13 Suppose 77*s - 127920 = 12*s. Calculate the remainder when s is divided by 27. 24 What is the remainder when 303 is divided by 7 - ((-2274)/21 + 6/21)? 73 Suppose 0 = -3*v - 5*t + 6236, 0 = -32*v + 27*v - 4*t + 10389. Calculate the remainder when v is divided by 80. 77 Let i(q) = -q**2 - 140*q - 347. What is the remainder when i(-135) is divided by 153? 22 Let d = 7015 + -6153. Calculate the remainder when d is divided by 180. 142 Let b = 44 + -12. Suppose -3*v + 36 = -95*w + 91*w, -3*v = -5*w - 30. Calculate the remainder when b is divided by v. 12 Let l(z) = -446*z + 1828. Calculate the remainder when 927 is divided by l(4). 3 Let w(c) = -6*c + 6 - 7*c - 44. What is the remainder when w(-9) is divided by 41? 38 Let o(m) be the second derivative of 1/6*m**3 - 14*m + 1/12*m**4 + 0 + 39/2*m**2 - 1/20*m**5. Calculate the remainder when o(0) is divided by 20. 19 Suppose -3*o = -3*k + 54, 0*k - 32 = -2*k - 2*o. Let b = 3404 - 3259. What is the remainder when b is divided by k? 9 Let c(k) = k**3 + 3*k**2 - 3*k - 2. Let l = 59 - 55. Suppose l*a - 72 = z, 4*z + 3 - 19 = 0. What is the rema
{ "pile_set_name": "DM Mathematics" }
0606? True Is 206154 a multiple of 234? True Is 12607950 a multiple of 26? False Is 1314916 a multiple of 34? True Does 25 divide 47325? True Is 53 a factor of 1521061? False Is 862268 a multiple of 90? False Is 54992 a multiple of 16? True Is 3422250 a multiple of 27? True Is 21215 a multiple of 29? False Is 50490 a multiple of 9? True Is 26 a factor of 2600? True Is 30 a factor of 794550? True Is 4 a factor of 49209? False Is 2528704 a multiple of 3? False Is 24977548 a multiple of 244? True Is 47 a factor of 705162? False Is 18 a factor of 2394432? True Is 822 a factor of 3634062? True Is 18 a factor of 119142? True Is 125541 a multiple of 22? False Is 473 a factor of 459283? True Does 3 divide 6901611? True Is 13 a factor of 2123511? True Does 31 divide 48112? True Is 147325 a multiple of 83? True Does 26 divide 1470928? False Is 26576226 a multiple of 31? False Is 8278410 a multiple of 109? False Does 14 divide 210994? True Is 1045968 a multiple of 84? True Is 3084695 a multiple of 427? False Is 82 a factor of 127391? False Is 13 a factor of 372645? True Is 114 a factor of 997151? False Is 10 a factor of 973831? False Does 1026 divide 6497658? True Is 622 a factor of 23343867? False Does 11 divide 7011147? True Is 3178793 a multiple of 10? False Does 15 divide 5812495? False Is 13 a factor of 945991? False Is 18 a factor of 102186? True Is 3567620 a multiple of 17? True Is 4971 a multiple of 3? True Is 21 a factor of 189625? False Does 39 divide 81276? True Does 689 divide 4825067? True Does 158 divide 2645552? True Does 4 divide 3170676? True Is 166 a factor of 480349? False Is 32 a factor of 335249? False Does 145 divide 159210? True Is 104272 a multiple of 133? True Is 36587 a multiple of 3? False Does 28 divide 2189404? True Does 240 divide 10189920? True Is 19 a factor of 544246? False Does 5 divide 5355? True Is 71 a factor of 367483? False Is 13 a factor of 79222? True Does 265 divide 46771? False Does 583 divide 4536779? False Is 196 a factor of 523516? True Is 227 a factor of 6221843? True Is 386298 a multiple of 198? True Does 11 divide 154346? False Does 140 divide 77420? True Does 49 divide 1496708? False Is 253335 a multiple of 37? False Is 352 a factor of 1192682? False Is 14 a factor of 5376? True Is 98 a factor of 3732640? False Does 2 divide 15386? True Is 303 a factor of 972069? False Is 122 a factor of 2417769? False Is 22011 a multiple of 4? False Is 3 a factor of 3830934? True Is 118 a factor of 6088092? True Is 470 a factor of 1651110? True Is 79 a factor of 404894? False Does 65 divide 223955? False Does 30 divide 266220? True Does 71 divide 81792? True Is 7 a factor of 94290? True Does 55 divide 483175? True Is 32 a factor of 171217? False Is 5 a factor of 2433? False Is 50 a factor of 1018? False Is 63 a factor of 2028530? False Is 1721678 a multiple of 217? True Is 4458794 a multiple of 9? False Is 275 a factor of 188375? True Is 41 a factor of 23470? False Is 2280675 a multiple of 47? True Is 23 a factor of 78724? False Is 1326 a factor of 5700474? True Is 8 a factor of 55304? True Is 160 a factor of 1082720? True Is 766920 a multiple of 3? True Is 127 a factor of 2287437? False Does 70 divide 5132697? False Is 216160 a multiple of 80? True Is 40 a factor of 1576? False Is 60544 a multiple of 22? True Does 626 divide 211437? False Is 26303 a multiple of 2? False Is 32 a factor of 111901? False Does 36 divide 2572095? False Does 140 divide 50940? False Is 2108009 a multiple of 74? False Is 204 a factor of 34762? False Is 1925796 a multiple of 20? False Is 24 a factor of 4626229? False Does 464 divide 670016? True Is 59506 a multiple of 35? False Does 109 divide 1643502? True Is 2204597 a multiple of 17? False Does 11 divide 558715? False Does 77 divide 648032? True Is 5398711 a multiple of 16? False Is 163 a factor of 2141331? True Is 5 a factor of 2425916? False Is 105412 a multiple of 38? True Does 517 divide 5780502? False Does 29 divide 625530? True Is 18 a factor of 298421? False Is 428 a factor of 630872? True Does 17 divide 40936? True Is 27 a factor of 19211877? True Is 220577 a multiple of 7? True Is 95598 a multiple of 282? True Does 258 divide 707688? False Is 1068413 a multiple of 146? False Is 486841 a multiple of 347? True Is 7938102 a multiple of 132? False Is 50416 a multiple of 576? False Is 19 a factor of 2300760? False Does 35 divide 175875? True Does 13 divide 2061529? False Is 1310632 a multiple of 46? True Is 24 a factor of 42036? False Is 20 a factor of 449631? False Is 29 a factor of 3593730? False Is 7 a factor of 57771? True Does 11 divide 1798568? False Is 346 a factor of 490392? False Is 57450 a multiple of 178? False Is 1439 a factor of 4934974? False Does 22 divide 32472? True Is 195 a factor of 149760? True Does 73 divide 907025? True Is 138 a factor of 28014? True Does 28 divide 240576? True Is 19 a factor of 857250? False Does 19 divide 2852508? True Does 1101 divide 1525986? True Does 5 divide 200565? True Does 102 divide 146472? True Does 13 divide 122762? False Is 3181256 a multiple of 724? True Is 535976 a multiple of 28? True Does 178 divide 225170? True Does 41 divide 36894596? False Is 65 a factor of 312260? True Is 142 a factor of 8392891? False Is 660745 a multiple of 3? False Is 411 a factor of 790228? False Is 414408 a multiple of 62? True Is 1424872 a multiple of 297? False Is 99322 a multiple of 49? False Is 28 a factor of 3539984? True Is 134390 a multiple of 10? True Is 611639 a multiple of 667? True Is 82 a factor of 537100? True Does 154 divide 129905? False Does 8 divide 179752? True Is 102 a factor of 537174? False Does 10 divide 4393453? False Is 2190330 a multiple of 4? False Does 77 divide 935365? False Does 61 divide 446631? False Is 7 a factor of 239546? False Is 40 a factor of 7424535? False Is 19457770 a multiple of 107? False Is 517185 a multiple of 3? True Does 13 divide 1865785? False Does 165 divide 100079? False Is 44677 a multiple of 184? False Is 21 a factor of 1980635? False Is 972805 a multiple of 29? True Does 5 divide 54869? False Does 692 divide 3347397? False Is 2 a factor of 163135? False Is 18 a factor of 3879828? True Does 4 divide 1616512? True Does 3 divide 43135? False Is 3794448 a multiple of 12? True Is 315278 a multiple of 207? False Is 133680 a multiple of 48? True Is 19 a factor of 56734? True Does 5 divide 498800? True Does 42 divide 381318? True Does 56 divide 245213? False Does 47 divide 48269? True Does 13 divide 3413309? False Is 12 a factor of 33759? False Is 9 a factor of 465440? False Is 185 a factor of 7372082? False Does 28 divide 832802? False Is 642 a factor of 500087? False Is 194427 a multiple of 171? True Is 2741713 a multiple of 13? True Does 136 divide 1081199? False Is 88 a factor of 363088? True Is 92950 a multiple of 36? False Does 23 divide 32411? False Is 45 a factor of 157754? False Does 28 divide 1894536? True Is 6 a factor of 569772? True Is 200 a factor of 30588000? True Is 184796 a multiple of 259? False Is 138 a factor of 4470510? True Does 7 divide 2856140? True Is 311 a factor of 354540? True Is 97251 a multiple of 2? False Does 102 divide 811308? True Is 61 a factor of 3397075? False Does 607 divide 1128413? True Is 3 a factor of 203687? False Is 3 a factor of 18854? False Does 12 divide 198588? True Does 19 divide 194356? False Is 6696738 a multiple of 38? False Does 51 divide 92259? True Is 655 a factor of 1604750? True Is 903864 a multiple of 331? False Is 2369 a multiple of 103? True Is 235107 a multiple of 28? False Is 5 a factor of 75507? False Is 1446 a factor of 9562022? False Is 101838 a multiple of 66? True Does 108 divide 5184? True Does 172 divide 1031828? True Is 287610 a multiple of 177? False Is 900680 a multiple of 178? True Is 13 a factor of 1269595? False Is 325 a factor of 1267500? True Is 19 a factor of 760? True Is 126245 a multiple of 137? False Does 20 divide 1058940? True Is 4 a factor of 46401? False Is 183 a factor of 2439990? False Does 20 divide 4773800? True Is 978 a factor of 1255123? False Does 850 divide 6052297? False Is 16 a factor of 4209622? False Is 10 a factor of 89430? True Is 6091557 a multiple of 32? False Is 6897312 a multiple of 12? True Is 42310 a multi
{ "pile_set_name": "DM Mathematics" }
0. Solve -21 = 13*g + a for g. -2 Let x be 130/13 - (2/2 - -1). Solve w - 7 = x*w for w. -1 Let x(y) = 2*y**2 - 5*y + 4. Let l be x(2). Let j(t) = -7*t**2 + 4*t**l - 2 + 1 - 11*t + t**2. Let a be j(-5). Solve 2*n + a = n for n. -4 Let z = -15 - -25. Let b be (-24)/(-60) - (-166)/z. Solve 8 = -5*n - b for n. -5 Let i be 10 + 1 + 3/12*4. Solve 11*c + 3 = i*c for c. 3 Suppose 0 = a - 0*b + 4*b + 15, 5*a + 2*b - 15 = 0. Solve 0 = -a*w + 12*w + 28 for w. -4 Let c = 4 - 2. Let r(p) = 3*p**2 + 4*p**2 + p**2 - 2*p**c. Let o be r(-1). Solve 0*a = 3*a + o for a. -2 Suppose 0 = -2*b - 2*b + 5*x + 41, -33 = -2*b + 5*x. Let l be 0 + (-2 - b)/(-3). Let h(o) = 2*o**3 + 12*o**2 + 2. Let f be h(-6). Solve -12 = -f*i - l*i for i. 3 Suppose 0*h = 2*p + 2*h - 70, 0 = p - h - 43. Solve -p = 10*d - 23*d for d. 3 Let a be 18/8*(-8)/(-6). Let b be 1 + (-4)/2 + 1. Suppose 0 = -b*n - 4*n. Solve n = a*p + p - 12 for p. 3 Let j be 7/(7/(-4)) + (1 - 2). Let g(b) = -2*b - 9. Let o be g(j). Solve 0 = -n - 3 + o for n. -2 Let f(w) = -3*w + 2. Let r be f(-8). Let j = 39 - r. Solve 4*i - j = 7 for i. 5 Suppose d - 71 = 5*v - 25, 0 = -3*v + 4*d - 31. Let y = -3 - v. Let l be y/14 + 15/(-35). Solve 20 = 4*h - l*h for h. 5 Suppose 2*w = -5*j + 37, -j + 0 = -w + 1. Let b(l) = -47*l**2 - l. Let z be b(-1). Let m = z + 49. Solve -m*i + w*i = 12 for i. 4 Suppose 0*s = 9*s - 135. Let k = 7 - s. Let c = -8 - k. Solve -3*h + c*h = -9 for h. 3 Suppose 118 = 20*h - 2. Solve -9 = h*v + 9 for v. -3 Let i = -9 - -2. Let l be (-570)/(-35) - (-2)/i. Let r = l + -10. Solve 0*v + 3*v + r = 0 for v. -2 Let u be (10/25)/(2/320). Let g be u/(-10) + (-24)/(-60). Let o = 9 + g. Solve -2*w = o*w + 5 for w. -1 Suppose -4*u + 282 = 3*o, 3*u - o - 215 = -5*o. Solve 72*f = u*f - 3 for f. -1 Let r(x) = -72*x**3 - x**2 + 1. Let u be r(-1). Suppose -o - 4*o + q + u = 0, -2 = q. Solve 5*b = 6 + o for b. 4 Suppose 2*t + 4*k = -13 + 25, 4*k - 2 = 3*t. Solve t*w = -12 + 18 for w. 3 Let t(b) = b**3 - 138. Let u = -14 - -14. Let x be t(u). Let m be (-2)/(-5) + x/(-30). Solve m*d - 19 = 1 for d. 4 Let z(f) = 4*f + 27. Let t be z(-6). Suppose -o + 0 = -4, 0 = u - 3*o + 8. Solve -u*x - t = -19 for x. 4 Suppose 4*y - 34 = 3*s, 0*y = -5*y - 5*s + 60. Let n be (144/20)/6*y/3. Solve 0*d - n = d for d. -4 Suppose 2*a - 11 = -4*f + 9, a + 4*f - 20 = 0. Solve 6 = 3*x - a for x. 2 Let a be 324/(-36)*(-20)/6. Let s = a + -22. Solve 2*z - s = -4 for z. 2 Suppose -18*x - 232 = -1150. Solve 0 = 13*k + 4*k - x for k. 3 Suppose -3*p + 531 = 2*a, 5*p - 794 = 13*a - 16*a. Solve -4*l + 289 - a = 0 for l. 4 Let g = -40 + 68. Let y = g - 12. Suppose -5*z + 54 = -y. Solve -z = 5*w - 4 for w. -2 Suppose 10 = 2*k + 3*k. Let j be (1/(-4) - 0)*-2*k. Solve -4*w = j - 9 for w. 2 Suppose 0 = 61*z - 55*z - 12. Solve -4*g + 10 = -z*g for g. 5 Let m be -1 + 5 - 48/1. Let p = -40 - m. Solve -p*c = 2 - 6 for c. 1 Suppose 2*m - 2 = -4*h + 24, 4*h + 4 = 4*m. Solve m*q - 8*q = 0 for q. 0 Let r be 7 + 1 + 12/(-3). Solve -8*o = -r*o + 8 for o. -2 Suppose 7*a - 28 = -0. Suppose -7*w - a*b + 14 = -2*w, -5*w + 3*b = -7. Solve w*u - 9 = -u for u. 3 Let s be 20/(-6)*(-27)/15. Let r(j) = -j**2 + 11*j. Let p be 10 - -1*(-3 + 4). Let z be r(p). Solve z*x = -2*x + s for x. 3 Suppose 2*n - 5*n = -15. Suppose -5 = -n*t - 5*z, z + 9 + 0 = 4*t. Let j = t - 1. Solve -q - 2 = j for q. -3 Let k(c) = -c**3 + 14*c**2 - 25*c + 17. Let p be k(12). Solve -p = 2*y - 5 for y. 0 Let r be (0 - 1/(-3))/(17/102). Solve r*m - 5 - 1 = 0 for m. 3 Let y(a) = -a**3 + a**2 + 5. Let c be (14/(-8))/(3/12). Let b(g) = -g**2 - 7*g. Let f be b(c). Let r be y(f). Solve 0*v - r*v - 10 = 0 for v. -2 Suppose 4*v = 50 - 42. Solve 2*l + 2 + v = 0 for l. -2 Let d = -429 - -432. Solve -2*n + 1 + d = 0 for n. 2 Suppose 0 = -3*q - 2*a + 17, -q + 7*a = 5*a + 5. Solve 6*r - q*r + 6 = 0 for r. -2 Suppose -34 = -5*c - 9. Let f = 4612 + -4605. Solve -c = -4*y + f for y. 3 Suppose -6*j = -19 - 71. Solve -31*k + 16 = -j for k. 1 Let p(c) = c**3 + 6*c**2 - 14*c + 18. Let r be p(-8). Solve 0 = r*n + n for n. 0 Let t = -656 - -678. Solve a - t = -17 for a. 5 Suppose -2*a = o + 15, -a = -o + 1 - 4. Let g = -7 - o. Solve g = -4*w - w for w. 0 Let d = 686 - 673. Solve -12*m + d = m for m. 1 Let g(q) = -2*q**3 - 41*q**2 - 20*q + 10. Let k be g(-20). Solve 7*i - 5*i = k for i. 5 Suppose 0 = -5*y + v + 45, 0 = 3*y + 2*v - 2 - 25. Suppose -y = -8*b + 5*b. Solve 7 = 2*n - b for n. 5 Suppose 3*q + c = 9, 0 = -2*c - 2*c - 12. Suppose 7 + 5 = q*y. Suppose 13 = 5*v - 2*a, -y*v + 0*a + 5*a = -4. Solve v = 3*s + 12 for s. -3 Suppose -10*l = 27*l - 555. Solve 0 = -0*r + 3*r + l for r. -5 Suppose -2*p = -9*k + 4*k - 95, -100 = -3*p - k. Solve p = -4*u + 15 for u. -5 Let p = 761 - 753. Solve 0*k + p*k = 16 for k. 2 Let d(o) = 9*o**2 - 2*o - 3. Let p be d(-1). Suppose -y + 2*l + 10 = -l, -4*y - 4*l = -p. Solve y*x - 10 = 2*x for x. 5 Let a = 7 + 11. Let v be (-2)/12 + 101/(-6). Let m = v + a. Solve -m + 0 = -x for x. 1 Let s be (4*3/14)/(54/252). Solve -15 + 3 = -s*k for k. 3 Let a(x) = x**2 - x - 3. Suppose -3*i - 3*u - 87 = 0, -4*u - 66 = 2*i - 0. Let q = -22 - i. Let g be a(q). Solve 0*b + 3*b = -g for b. -1 Let i = 21 - 14. Let s(y) = 10*y + y**3 + 2*y**2 - 4 - 6 + 6*y**2. Let t be s(-6). Solve i = t*v + 1 for v. 3 Let n be 10/(-4)*25/(-125)*4. Solve -5 = -y + n*y for y. -5 Let b = 36 + -31. Let c(p) = p**3 - 7*p**2 + 10*p. Let t be c(b). Let s(j) = -j**3 - 5*j**2 + 3. Let l be s(-5). Solve l*u + t*u = 12 for u. 4 Let l(o) = -10*o - 24 - 2*o - 4*o + 3*o - 6*o**2 + o**3. Let z be l(8). Solve 2*g = -z*g + 8 for g. 4 Suppose -246*r = -236*r. Solve r = -15*j + j - 56 for j. -4 Let c be -7 - -5 - -1*(-18)/(-1). Let b be 1*(-1 - 1) + 5. Solve g = -b*g - c for g. -4 Let j = 7 + -5. Let r(h) = -5*h**2 + 5*h - h - h**3 + 13 - 4*h**2 - 3*h. Let n be r(-9). Solve -2*a = n + j for a. -3 Let f(x) = -2*x - 15. Let r be f(-9). Suppose g + 5*o = -25, -4*g - r*o - 10 = 5. Solve g = -2*d + 3*d + 5 for d. -5 Let b = -284 + 293. Suppose 5*r - 23 = 97. Let q = 53 - r. Solve -4*s = -q + b for s. 5 Let z(n) = 2*n**3 - 15*n**2 + 9*n - 8. Let q be z(7). Solve x - 14 = -q*x for x. 2 Let g = 14 - 15. Let r be (5 + g)/(9/18). Let v(q) = q**2 - 8*q + 3. Let t be v(r). Solve t = 3*z + 6 for z. -1 Suppose 2*p = p + 4*z, 5*z = -3*p + 17. Suppose 4*v - 12 = -4*c, -3*v + 6*v - 7 = -p*c. Solve 15 = 2*y - v*y for y. -5 Let w be ((-6)/18)/((-1)/12). Suppose 5*p - 2*i = -6*i + 3, w*p = 5*i + 27. Solve -3*d - 3 = p for d. -2 Let u = 204 + -157. Suppose -o = -3*y + 18 + u, 5*o = -25. Solve 5*f - f = -y for f. -5 Let f(o) = -o**3 + 9*o**2 - 18*o + 99. Let m be f(8). Solve -m*b = -18*b - 4 for b. 4 Let w be ((-3)/(-2))/(5/30). Let k be (1 + w/(-6))*(-1 + 1). Solve 3 = -d - k for d. -3 Suppose 0 = -b - 2, -4*b - 2 = u + 2*u. Let r(m) = 6*m - 2. Let t(v) = -v + 1. Let n(o) = r(o) + 5*t(o). Let q be n(u). Solve -2*f = -q*f + 9 for f. 3 Suppose 9*t = 8*t + 20. Let c = 0 + t. Solve -2*u + c = 3*u for u. 4 Let o be (4/(-5))/(2/(-20)). Let j be ((-3)/(-2))/((-3)/(-30)*5). Solve -n - j*n = o for n. -2 Let l(h) = -h**3 - 13*h**2 + h + 14. Let g be l(-13). Suppose 5 = 3*w - g. Let s be 1*4*1/w. Solve -s*c = 2*c for c. 0 Let h be (14/49)/1 - (-130)/(-14). Let z be 6/27 - (-2)/h. Solve z = y + y for y. 0 Let f be (-312)/(-91) + 9/(-21). Solve 2*g + 5 = f*g for g. 5 Let v(m) = -m**3 - 15*m**2 - 18*m - 48. Let s be v(-14). Solve 12*n = s*n - 20 for n. -5 Suppose 4*p - 32 = -0*x + 4*x, -2*p - x = -22. Suppose 3*f + 2*f - 2*c - 14 = 0, p = -5*c. Suppose -3*m = s - 7, -s - 11 + f = -m. Solve 0*z + m*z = -16 for z. -4 Suppose 2 = -s + 2*s. Suppose 0 = 3*p + 3*g - 0*g + 3, 5*g = 4*p - 32. Solve 17 = p*w + s for w. 5 Let m(o) = -3*o + 37. Let x be m(8). Solve 2*u = x*u - 44 for u. 4 Let j(u) = 23*u + 246. Let o be j(-10). Solve -50*n = -46*n + o for n. -4 Suppose -70 = -6*c + c. Suppose 348 = -8*y + c*y. Let i = y - 33. Solve p = -4*p + i for p. 5 Let s be 4/(-2) - (1 - 3). Suppose s = -0*d + 3*d - 9. Solve 4 = h + d*h for h. 1 Let f(v) = -v**3 - 13*v**2 + 3*v + 38. Let a be f(-13). Let y be (2/(-1))/((-24)/16 - a). Solve -9*b + 20 = -y*b for b. 4 Let l = -6 - -11. Suppose l*s - 8 = 12. Suppose -3*u + 28 = 4*q - u, 0 = -2*q + 3*u + 22. Solve 0 = q*a - s*a + 20 for a. -5 Suppose 0
{ "pile_set_name": "DM Mathematics" }
**2*s + q**2*s**2 + 3*q*s**2*y + 3*q*s wrt s. -16*a**3*y + 2*q**2 + 6*q*y What is the third derivative of 115*b**4 - 122*b**2 wrt b? 2760*b What is the third derivative of -2*j**3*m - 3*j**3 + 4*j**2*m + j**2 + 5*j*m wrt j? -12*m - 18 What is the third derivative of -4*i**3*x - 24*i**3 - 285*i**2*x - 2*i*x wrt i? -24*x - 144 Find the second derivative of 49*h*x**2 + 197*h - 2*x wrt x. 98*h Differentiate 14042*h**3 - 2*h - 10987. 42126*h**2 - 2 What is the first derivative of -2*z**4 + 5490*z**3 - 11173? -8*z**3 + 16470*z**2 Find the first derivative of -5051*p**4 + 8517. -20204*p**3 What is the third derivative of 53*n**4 - n**3 + 1781*n**2 wrt n? 1272*n - 6 Find the second derivative of 5*b**3*g*u + 80*b**3 - 3*b**2*g + 2*b*g*u + 2*b*g - 1120*b*u - 2*b + u wrt b. 30*b*g*u + 480*b - 6*g What is the third derivative of 2*x*z**3 + 2*x*z**2 + 5*x - 219*z**4 + 40*z**2 wrt z? 12*x - 5256*z Differentiate 108*o**4 - 185. 432*o**3 What is the second derivative of b*f**2*j**2*m - 2*b*f**2*m + 7*b*f*j**2*m + b*f*j*m + 3*b*j**2 - 2*f**2*j - 3*f*j*m - 18*j wrt j? 2*b*f**2*m + 14*b*f*m + 6*b Find the second derivative of 10*z**3 + 7*z**2 - 809*z wrt z. 60*z + 14 Find the third derivative of f**4 + 2246*f**3 + 58*f**2 - 105*f. 24*f + 13476 Differentiate 2*d**3*n**3*o + 14*d**3 - 481*d**2*n**3*o + 22*n**3 wrt o. 2*d**3*n**3 - 481*d**2*n**3 What is the second derivative of 20*q*r**2 + 2*q*r + 2*q - 64*r**2 - 214*r wrt r? 40*q - 128 What is the third derivative of -2*a**3*q**3 + a**3*q**2 + 7*a**3*q + 27*a**2*d*q**3 - 2*a*d*q wrt q? -12*a**3 + 162*a**2*d Find the third derivative of 509*f**3*h**3 - 10*f**2 + f*h - 13*h**3 wrt f. 3054*h**3 Find the second derivative of 8952*v**5 + 3040*v. 179040*v**3 Differentiate -20*f**4 - 265*f**3 + 7889 with respect to f. -80*f**3 - 795*f**2 What is the derivative of 2*i**3 + 58*i + 143? 6*i**2 + 58 Find the second derivative of 196*n**3*o + n*o + 79*o wrt n. 1176*n*o What is the first derivative of 8742*j*u - 2799*j + 1 wrt u? 8742*j Find the second derivative of -290*l**3*q**3 + 4*l**3*q - 3*q**5 - 7*q wrt q. -1740*l**3*q - 60*q**3 What is the third derivative of 7*k**2*u**3 + 2*k**2*u**2 + 3*k*u**2 + 252*u**3 + 59*u**2 - 6*u wrt u? 42*k**2 + 1512 Find the second derivative of -26*d**4 + 25*d**3*i + 2*d*i + 16*d wrt d. -312*d**2 + 150*d*i What is the first derivative of -26*b**3*q + 2*b*q + 939*q wrt b? -78*b**2*q + 2*q Differentiate j*p**2*u + 61*j*p**2 - 11*p**2*u - p*u - p with respect to j. p**2*u + 61*p**2 What is the third derivative of -611*b**6 - 310*b**2 wrt b? -73320*b**3 Find the third derivative of 1040*w**4 - 921*w**2 wrt w. 24960*w Find the second derivative of -213*k**3 + 5*k**2 - 52*k - 121. -1278*k + 10 What is the second derivative of 517*m**2 - 50*m wrt m? 1034 Find the second derivative of -132*m**2*o**2 - 2*m**2 + 3*m*o**2 - 2*m*o + 143*o wrt o. -264*m**2 + 6*m What is the second derivative of -39*h**2*j*y**3 - 2*h**2*j*y**2 + 2*h**2*y**2 + 10*h*j*y**3 - 2*h*y**2 + 5*j*y**3 wrt h? -78*j*y**3 - 4*j*y**2 + 4*y**2 Find the third derivative of 146*c**5*n**3 - c**2 + 2*n**3 - 15*n**2 wrt c. 8760*c**2*n**3 Differentiate -3*w**3 - 13*w**2 - 289 with respect to w. -9*w**2 - 26*w Find the second derivative of -4*c**2*s**2 - 9*c**2 - 28*c*s**4 + 3*s**4 + 2*s - 2 wrt s. -8*c**2 - 336*c*s**2 + 36*s**2 What is the third derivative of 46*i**2*j**3 - 76*i**2*j**2 + 2*i**2*j - j**5 wrt j? 276*i**2 - 60*j**2 What is the second derivative of -38*k**2 - 255*k wrt k? -76 Find the first derivative of -132*h**3*j**2 - 6*h**3 + 14*h**2 - h*j**3 wrt j. -264*h**3*j - 3*h*j**2 Find the first derivative of 343*b**3 + 4*b + 1410 wrt b. 1029*b**2 + 4 Find the second derivative of 2*j**2*t - 8*j**2 + 8*j*t + 7*j wrt j. 4*t - 16 Differentiate q**3*x**3 + 2*q**3 - 39*x + 31 wrt x. 3*q**3*x**2 - 39 Differentiate 4*h**2*o**2 - 4*h*o**2 + 6*h*o + 952*o**2 with respect to h. 8*h*o**2 - 4*o**2 + 6*o What is the third derivative of 5*s**4 + 6*s**3 + 3*s**2 - 133 wrt s? 120*s + 36 Find the second derivative of 3*d**3*x**3 + 4*d**3*x + 56*d**2*x + 365*d*x**4 wrt x. 18*d**3*x + 4380*d*x**2 Differentiate 600*m**4 + 793. 2400*m**3 What is the second derivative of g**3*h**3 - 2*g**3 - 26*g**2*h**3 - g**2*h - 69*g**2 - 3*g*h**3 wrt h? 6*g**3*h - 156*g**2*h - 18*g*h Find the third derivative of 4*n**6 - 5*n**4*w + 354*n**2*w wrt n. 480*n**3 - 120*n*w Find the first derivative of 2*y*z**3 - 339*y*z**2 + 283*z**3 wrt y. 2*z**3 - 339*z**2 Find the second derivative of -7*l**4*n - 53*l**4 + 679*l*n + 2*n wrt l. -84*l**2*n - 636*l**2 What is the second derivative of -146*s**3 - 1127*s? -876*s What is the second derivative of 1126*i**3 + 6*i wrt i? 6756*i What is the first derivative of -29*u*x - 57*u + 3 wrt x? -29*u Find the second derivative of 518*g**2*p**3 + 91*g*p**3 wrt g. 1036*p**3 Find the first derivative of -2323*c + 1379 wrt c. -2323 What is the third derivative of -9*l**2*r**3*v**2 + 5*l**2*r**3 + 7*l**2 - l*r**2*v**2 - 17*r**2*v**2 + 2*v**2 wrt r? -54*l**2*v**2 + 30*l**2 Find the second derivative of -3*f*n*w**2 - 124*f*n*w + 2*f*n + 2*f*w**4 - 487*f*w**2 + f*w + n*w wrt w. -6*f*n + 24*f*w**2 - 974*f Find the second derivative of -1933*w**4 - 2*w**3 + 18986*w wrt w. -23196*w**2 - 12*w What is the second derivative of 2*b*v**2 - 3*b*v - 3019*v**2 + 27*v wrt v? 4*b - 6038 Find the first derivative of 1499*u**4 - 2*u - 917 wrt u. 5996*u**3 - 2 What is the second derivative of 76*q**5 + 15*q**2 - 2770*q wrt q? 1520*q**3 + 30 Find the second derivative of 315*j**2 - 4*j - 126 wrt j. 630 What is the second derivative of 615*f**2*n**2 - 18*f*n**2 + 5*f*n + 3*n**2 wrt f? 1230*n**2 What is the second derivative of 728*j**2*z**2 + 50*j**2*z - 2*j**2 wrt z? 1456*j**2 Differentiate 11*k**2*r - 2*k**2 - 209*k + 83*r*v**3 - v**3 with respect to r. 11*k**2 + 83*v**3 Differentiate -3*t*x**3 + 2875*t*x**2*y**3 + 15*x**3*y**2 - 172*y**3 with respect to t. -3*x**3 + 2875*x**2*y**3 What is the second derivative of -6*i**4 - 601*i**3 + 207*i - 4 wrt i? -72*i**2 - 3606*i Find the second derivative of 4502*m*w**2 - 113*m - 7*w wrt w. 9004*m What is the second derivative of 4*x**5 - 641*x**4 + 3*x - 19? 80*x**3 - 7692*x**2 What is the first derivative of -11*c**4 - 9*c**3*r**3 - 2*r**3 - 68*r wrt c? -44*c**3 - 27*c**2*r**3 What is the derivative of -67*w**2 - 2*w - 261 wrt w? -134*w - 2 What is the first derivative of -15*h**2*i - h**2 - 221*h*i - 4*h - 2*i + 294 wrt i? -15*h**2 - 221*h - 2 Differentiate 15*l - 132. 15 Differentiate a**3*z**2 - 159*a**3 - 5*a**2*z + 42*a*z**2 - 3*a wrt z. 2*a**3*z - 5*a**2 + 84*a*z What is the second derivative of i**2*n**3 - 2*i**2*n**2 + 2*i**2*z**2 + 18*i**2 + 10*i*n**2*z**2 - n wrt n? 6*i**2*n - 4*i**2 + 20*i*z**2 Find the third derivative of -1763*b**4 + b**3 - b**2 - 2298*b - 2. -42312*b + 6 What is the third derivative of 42*j**5 + j**4*u - 4*j**4 - 183*j**2 + 5*j*u wrt j? 2520*j**2 + 24*j*u - 96*j Find the third derivative of 28*b*m**4*o - 28*b*m**4 - 33*b*m**2*o + 3*b*m**2 - 2*b*m - 2*b*o - m**4*o wrt m. 672*b*m*o - 672*b*m - 24*m*o What is the second derivative of 2*d*o**3 - 1042*d*o**2 - d*o - 6*d - 1 wrt o? 12*d*o - 2084*d What is the derivative of 1909*z**3 + 2475? 5727*z**2 What is the second derivative of -y**5 + 45*y**4 - 155*y? -20*y**3 + 540*y**2 Differentiate 6884*b**3*m**2 - m**2 - 138*m + 1 wrt b. 20652*b**2*m**2 What is the first derivative of -107*j*n**3 - 2*j*n**2*w - j*n**2 + 4*n**3*w - 4*n**2*w wrt j? -107*n**3 - 2*n**2*w - n**2 Differentiate -4*h**3*z - 2*h**3 + 3*h**2*r - h*r + 2*h*z - 4*r*z wrt z. -4*h**3 + 2*h - 4*r What is the second derivative of 37*g**5 - 2*g**2*v**2 + 16*g*v**2 + v**2 wrt g? 740*g**3 - 4*v**2 Find the second derivative of 1131*r**2 - 1806*r wrt r. 2262 What is the second derivative of -20748*c*w**2 - 469*c*w - 3*c - 2*w + 2 wrt w? -41496*c What is the third derivative of 32*h**2*r**4*z - h**2*r**2 + h**2*z - h*r**3*z + 15*h*r**2*z - r**3*z - r**2 wrt r? 768*h**2*r*z - 6*h*z - 6*z Find the second derivative of -59*n**2 + 79*n wrt n. -118 Differentiate 185*c**2 - 200 with respect to c. 370*c What is the second derivative of -3*s**3*x - 131*s**3 + s*x + 19*x + 5 wrt s? -18*s*x - 786*s Differentiate 2*t**3*v + 60*t**2 - 13*v + 17 with respect to t. 6*t**2*v + 120*t What is the
{ "pile_set_name": "DM Mathematics" }
-56)/168). -23 Evaluate 5829/(-268) + (-15)/((-75)/110) + 206/72. 28/9 (1/3)/(2592/(-1458))*4/48*-8 1/8 Calculate ((-36)/144 - (-26)/(-88)) + (-708)/33. -22 What is (2/(-14))/(167/1365 + (-912)/6840)? 13 Evaluate -22*(18658/(-418) + 46). -30 What is 22736/10962 - (-18)/(-27)*3? 2/27 What is the value of (-9)/3 - 916/28 - (-57)/((-1197)/6)? -36 Calculate -13 + (181/(-2))/(168/(-60 - -36)). -1/14 Calculate -24*4/(-6)*(-74)/2220. -8/15 What is the value of (288/14 - (2 + -3)) + (-52516)/91903? 21 Evaluate (0 + -74)*1378/(-2756). 37 What is the value of ((-8)/280*7)/((261/9)/(-14355))? 99 Evaluate (-3800)/1235*(-1872)/504. 80/7 -96 + 48 - (-17136)/364 -12/13 (948/4977)/(((-1)/(-4))/1 + (-226)/(-56)) 2/45 Calculate ((-22)/(-308)*-2)/(880/154). -1/40 -2*(29/232*(-120)/(-22) + 2/(-11)) -1 23/(-5) - (31/(-124))/((-20)/(-48)) -4 What is (47/611*-26 + -4)*1/(3 - 145)? 3/71 Calculate (-50 - 2818992/(-50958)) + 4/298. 16/3 What is the value of 14/(-9)*(-1998)/(-148)*(-2)/(-3) - 68? -82 What is (22 - 19)*((-1695)/(-63) - 644/1127)? 79 What is the value of (2723/(-2170) - (-518)/370)/(3/(-2))? -3/31 Evaluate (-5*(-8)/2030)/((576/63)/32). 2/29 Evaluate 110/165 + (-56)/532 + (-7962)/171. -46 What is (198/(-77121)*-164)/(-60)? -2/285 What is the value of (-6)/4*450/(-40)*(-224)/(-140)? 27 What is (15/45)/((-4)/7 - -226*(-10)/1680)? -4/23 1133/88*(8/(-4))/(130/(-20)) + -4 -1/26 Calculate (-6)/(-4)*((-4482)/1245 - (-374)/(-60)). -59/4 What is (-49410)/(-4575)*((-10)/3)/5? -36/5 Calculate (-1 + 90)*(-13 + -50 - -67)/(-4). -89 What is the value of 1032/45*(208925/(-1644))/(-305)*9/2? 43 Evaluate -8 + (-210)/(-27) + (5466/54 - -49). 150 What is the value of 2 + 498/(-5) + 48/2000*25? -97 Evaluate 0 + 4*2 - (-9591)/45885*-38. 2/35 (2/(-38))/((-56540)/(-48830)) -1/22 Evaluate ((-14)/(-105) + (-62647)/(-3660))*8/3. 46 What is ((-84)/(-39) - 4)*(65/(-104))/((-20)/(-16))? 12/13 What is 121/10 + (-125)/(300/12) + -7? 1/10 What is (-98 + 89 - (-2015)/19) + (19 - 2)/(-323)? 97 2951/(-44) + 37452/549296 -67 What is 92/(-18)*(-516 - -21)/55? 46 Evaluate ((-87087)/315)/11 - (23/15 + (-8)/24). -79/3 What is the value of ((9/9)/1)/(3*3/(-387))? -43 Calculate (-25156)/741 + 30 + 4 + 1252/(-78). -16 (17/306)/(584/1314) 1/8 5 + (148/((-277500)/875))/(3*4/150) -5/6 Calculate (73/((-42632)/(-803)))/(2/112). 77 Evaluate (-28)/(-3) + (-221920)/(-4560). 58 What is the value of 33 - (-96912)/(-2916) - ((-32)/(-18))/(-8)? -1/81 Evaluate (-1)/((72/252)/((756/931)/9)). -6/19 Calculate (-3097)/57 + (15 - 486/(-18)). -37/3 Evaluate (-530)/(-477) - 1295/3150. 7/10 Calculate 1077780/(-197593) - (-1105)/11. 95 What is -7 + 18675/(-315) - (48/(-21) + 1)? -65 -38 + (1 + 6)/(5/10) -24 Calculate 4*84/(-2240) + (2 - (0 - -2)). -3/20 492/(-27) - 2*(-66)/594 -18 (-952)/(-272) - -177*5/(-30) -26 What is -22*(-22)/20 + -117 + 89352/765? 24 What is the value of (-14)/10 + (30 - (9588/1005 - (12 + -31)))? 4/67 (28/147)/(28280/1176 - 24) 4 Calculate ((-42256)/3892)/((-208)/(-91)). -19/4 Calculate (15/(-4) + -2)/(23 - -150*(-297)/1944). -69 Evaluate 30272/4312*-2 + 14. -2/49 Calculate 5*(-15)/(-125) - (-14148)/270. 53 Evaluate (6545/140 - 48)*24. -30 What is (-31 - ((0 - -26) + -14)) + 1*4? -39 -14 + ((-89559)/207)/(-31) -1/23 What is (101 + 6474/(-65))*10/(-12)? -7/6 Evaluate (-70)/((-20 + 7 + -12 - -17) + 6/1). 35 Calculate (24/(-9) - -1)*((-10362)/(-330) + -26). -9 (-53 - -14) + -16 - -30 -25 What is the value of (-894)/(-7152)*32/82? 2/41 129*12/183696*4 3/89 What is 47 - (1344/(-64))/(7 + -8)? 26 Evaluate 10*30/600*-284. -142 Evaluate 700/115 - 6 - (368311/45632 + -8). 1/64 What is the value of (-65)/20 + 700/(-400)? -5 Calculate 19 - 0/(-2) - 6016/384. 10/3 What is -1*((-54)/441)/(21/(-49))*(-6 - 1)? 2 What is the value of 21/(15/5)*8/((-336)/(-14)) + -2? 1/3 What is the value of ((-181257)/7008604)/(((-9)/(-10)*-2)/(8/5))? 2/87 Evaluate (17531/(-188) - -7) + 35 - (-3)/12. -51 What is the value of ((-3)/(-9))/((-16)/144) + (-26)/(364/(-966))? 66 Calculate (-8)/6 - (2/55 + (-6589)/(-1815)). -5 2*((-145)/(-10) + -11 + 0) + (-382)/54 -2/27 Evaluate (1 - 0)*((-483)/(-1032) - (1304/64 + -20)). 4/43 -25 + (-58420)/(-6477) + 1/(-51) -16 (-12 + (-3553)/(-190))*-4 + 25 - (-279)/30 15/2 What is the value of ((-12)/(-5544))/((-83)/(-1162))? 1/33 What is the value of (-1 + 1 + -2)*21/14*626/17841? -2/19 (-100)/15 - (-10 - ((-86)/6 - -4)) -7 Evaluate (1/(-6))/((-69)/(-207))*(-1 - 181). 91 Calculate 63/42 + (5292/120 + 11 - (-4)/10). 57 Calculate (-233975)/(-1146) + -204 + -233*2/(-12). 39 Calculate (1056/(-2640))/(117/(-120) + 1) - -5. -11 (-1*((-165)/15 + 9 + 3))/(17/1360) -80 -155 + 79 + -5*(-319)/55 -47 2 + 27*3 + 132*(-252)/2079 67 (-2 - -13 - -496*7/(-336))*-18 -12 What is the value of 3021*59/4484 - 39? 3/4 What is -14*(-2)/80*79/((-11060)/(-32))? 2/25 What is 24 - (3 - -9) - 720/66? 12/11 (450/45 - (34050/2619 - 3))*(-3 - -9) -2/291 What is the value of (3/((-9)/16) + -2)/((-516)/387)? 11/2 Evaluate 41 + (-205)/((-66215)/(-13338)). -5/17 Evaluate 13 - 70 - (20 - 39). -38 ((-32)/(-12))/((-2160)/(-5832))*15/9 12 What is (-5765625)/61500 + (2/(-12))/(2/3)? -94 What is (3154/415)/(14 - (-4876)/(-345))? -57 What is ((-10)/(-4))/((-155)/(-93)) + (-5166)/252? -19 What is the value of 24920/1080 - (31 - 8)? 2/27 Evaluate 8/122 + (-1821108)/20679. -88 917 + -931 - ((-1100)/130 - 6) 6/13 Evaluate 7 + 6 + 11 + (69 - 46). 47 -20*1173/(-680) - 78/(-12) 41 Evaluate (-8 - -9)*(-36)/14*(-87)/(-174). -9/7 What is the value of 128 + 15048/(-114) + (186/23)/2? 1/23 Evaluate ((-245)/420*90)/(70/(-100)). 75 What is the value of (-127)/(-34) + (-252)/36 + (-35)/(-10)? 4/17 Calculate 1/(-2) + 2291*23/1334. 39 (-192 - -193)/(54 - -5) 1/59 (-9)/(-73 + (-2050)/(-28)) -42 What is (13/(-260))/((-129)/(-1032)) - 354/(-735)? 4/49 Calculate 5428/(-299) - ((-50)/65)/5. -18 Evaluate (20/55 + -12 + (-17775)/(-275))/(-1). -53 What is the value of (0 - (-10 - 118))*(7854/(-748) - -10*1)? -64 What is the value of (-4656)/(-60648)*-19 - (-8)/7? -6/19 What is the value of (((-182735)/(-6348))/227 + (-1)/23)*3*-9? -9/4 Evaluate (-316368)/14365 - (-19 + 12/(-4)). -2/85 What is the value of 60 + -65 - (12/(-21) - (-7 - 1076/(-77)))? 28/11 Calculate 50/(-600)*2*135/40*4. -9/4 47/235 - (1/4)/(-195*7/(-13692)) -30/13 What is the value of (-2286)/459 + 1 - 40/(-10)? 1/51 What is the value of (0 + -9)*1380/31050*6/16? -3/20 What is ((-48)/(-6) - 0)/(6360/160 + -41)? -32/5 1425/(-900)*882/(-2793) 1/2 What is (76923/4158*4/10)/(1/5)? 37 What is the value of ((-19)/((-95)/(-30)))/((-4887)/(-66789))? -82 (10*84/(-750))/(6*(-25)/125) 14/15 What is the value of ((-1161)/(-2322))/((6/2)/90)? 15 What is the value of (-71 - 12) + 17999/205? 24/5 What is the value of 195/13*(-13 + 28)/(-15) + 3*2? -9 Calculate 6/((4/((-56)/(-21)))/31). 124 Evaluate ((-4)/664)/(8/(-228)*3 + (-2673)/(-7524)). -2/83 (-24 - (-22 - (-45)/(-10)))/((-7)/238) -85 ((2 - 10) + -1)*14880/1406160 -2/21 ((-1)/(591 - 20 - 22))/((-2)/12) 2/183 What is the value of (-30)/27*(-20844)/965? 24 ((-331)/(-993))/((2/60)/(-15 - -13)) -20 Calculate ((-10)/80*-12)/((42/4)/(12 - 15)). -3/7 What is the value of 68 - (21 + (-27615)/(-525))? -28/5 Evaluate (1/2 + 35/2)*8895/5930. 27 Evaluate (1 - (-49)/(-35) - (-14041)/(-2185)) + -4 + 11. 4/23 Evaluate ((-3970)/70*18/(-180) - 4) + 1/(-14). 8/5 Calculate 234/(-13) - (33 + 1 - 14). -38 What is (3 + (-33)/13)*((-54873)/67)/63? -6 (-456)/(-54)*-3*(18 - (-1131)/(-58)) 38 1238/14 - (-4)/((-3960)/72 - -62) 89 What is ((-276)/(-16))/((-26)/(-1144)*33)? 23 What is 42/(-12)*5736/85323? -4/17 What is the value of (-44)/8*(-8)/44 + (6 - 7) + -47? -47 Calculate -5 + (-276)/(-77) + (-31)/(651/(-24)). -3/11 Calculate 4319/(-3052)*2*-6 - (28 + -11). -2/109 -19*(-7 - ((-9 - 2) + (-65)/(247/(-19)))) 19 -22 + (-1417)/520*-8 - ((-52)/10 - 5) 10 Calculate ((-456)/(-88768)*20/(-15))/(4/16). -2/73 Calculate 110/(6 + -11) + (35 - 90). -77 Evaluate (-7044)/(-207) + (-262)/9039. 34 Calculate 3/27 - 111573/3969. -28 Evaluate 3599/177*(-9 - (14 + -20)). -61 Calculate -3 - (255/11 + (-7)/((-2310)/(-60))). -26 Calculate (-928)/3828*(3 - (-12)/(-16)). -6/11 What is the value of 117/36*-16 + (-12 - -14 - (1 - 6))? -45 What is 11 + (38/209 - 8/22*-5)? 13 (2 + (-6 - -5))/(182/(-46) - -4
{ "pile_set_name": "DM Mathematics" }
2 + q + c*r**4 and give c. 2 Rearrange (-11 - 6 - 7)*(-c - 2*c + 4*c) to o + u*c and give u. -24 Express -r - 10*r**2 + r - 18*r**2 in the form t*r + s*r**2 + x and give s. -28 Express (-10 - 17 + 3)*(-3 - c + 3) as v*c + l and give v. 24 Rearrange (-2*i + 2*i - 2*i**3)*(28*i - 3 - 6*i + 0*i) to z*i**2 + p*i + o + g*i**3 + h*i**4 and give g. 6 Express -10*l**4 + 8*l**4 - 8*l + 7 + 2 + 7*l as i + u*l**2 + t*l**3 + d*l**4 + m*l and give i. 9 Express (-6 + 3 + 0)*(-1 - s + 1)*(-3*s + 0*s + 2*s) in the form p*s**2 + n*s + z and give p. -3 Express v**2 - 5 + 1 - 6 in the form p*v + m + n*v**2 and give n. 1 Rearrange 7*j**2 + 6*j**2 - 5*j**2 + 3*j**2 + j - 2*j**3 - 2 to the form c*j + r*j**3 + h*j**2 + l and give c. 1 Express (4*p**2 - 88*p**2 - 81*p**2)*(-p**2 - 2*p + 2*p) as m*p + z*p**3 + d*p**4 + f*p**2 + b and give d. 165 Rearrange -17 - 16 - 8*h + 33 to d*h + y and give y. 0 Rearrange (-4*b + 2*b**2 + 4*b)*(0 - 2*b + 0) - 21*b**3 + 0*b**3 + 2*b**3 to n*b + u*b**2 + d + w*b**3 and give w. -23 Rearrange (2 - 4 + 4)*(-11*z + 8*z + z) to the form y*z + l and give l. 0 Rearrange (-q**2 + 7*q**2 - 2*q**2)*(1 - 3 - 18) + (2*q + 2*q - 2*q)*(q + 0 + 0) to the form l*q**2 + p + n*q and give p. 0 Rearrange (-134*t + 97724 - 97724)*(-1 + 1 - 2) to the form j + a*t and give a. 268 Rearrange (j**2 + 0*j**2 + 3*j**2)*(9 - 9 - 10*j) to the form y*j + k + b*j**2 + m*j**3 and give m. -40 Express (40 + 6*p - 40)*(-8 + 0 + 0) in the form i + j*p and give j. -48 Express -20*v + 3 - 3*v**3 + 2*v**4 + 19*v + v**3 + 2*v**2 + 0*v**3 as y*v**4 + g*v**3 + w*v + u*v**2 + o and give g. -2 Express r**3 - 4 + 2 + 2*r**3 in the form l*r**2 + w + z*r + b*r**3 and give z. 0 Express -6*b - b + 2*b + (2 + 2 - 5)*(-b - 1 + 1) + 2*b + b - 2*b as u + n*b and give n. -3 Rearrange 6*b - 7 + 7 - 14*b to the form u*b + c and give u. -8 Express -4*j**2 - 255*j + 266*j + 5*j**2 in the form c*j**2 + r*j + f and give c. 1 Rearrange -8*n - 8*n**2 + 4*n + 4*n to the form t + g*n**2 + b*n and give g. -8 Express -430*a**2 + 444*a**2 + 2*a**3 + 2 - a**4 - a**3 in the form x*a + c*a**2 + s + i*a**4 + t*a**3 and give s. 2 Express 0 - 2*f + 327*f**2 + 0 - 314*f**2 as j*f + y + i*f**2 and give i. 13 Express -27*f + 61 - 6*f - 61 in the form n + i*f and give i. -33 Express 6*u**4 - u + 2 + 2*u**4 - 5*u**4 in the form v*u**3 + m*u + h*u**2 + k + t*u**4 and give m. -1 Express 173*k**2 - 175*k**2 + 2*k**3 + 0*k**3 + 24 in the form t*k + a*k**3 + q*k**2 + v and give q. -2 Rearrange -3 - j + 3 + (1 - 2 + 2)*(-2*j + 2*j + 2*j) + 16*j + 7*j - 19*j + 0*j + 0*j - j to o + g*j and give g. 4 Express -3*z + 2 + 3*z**3 + 5*z - z**3 as d*z + n*z**3 + s*z**2 + t and give n. 2 Rearrange (10 - 5*f - 10)*(3*f + 3 - 5 - 4*f) to the form o + d*f + g*f**2 and give o. 0 Rearrange -12 + 8 + 4 - 17*m to the form r + f*m and give f. -17 Express 5*h**3 - 3*h**3 + 5*h - 3*h**3 - h**4 - 6*h - 3 in the form j + o*h + r*h**3 + z*h**4 + y*h**2 and give r. -1 Rearrange 18*o - 15*o + 1 - 2 - 2*o + 2*o + 2*o + (-3 + 2 - 1)*(2*o - 4*o + 0*o) + 1 - 1 - 2*o to y + v*o and give v. 7 Rearrange d + 1 - 1 + (-3*d + 4*d - 3*d)*(2 + 0 - 1) - 2*d - 1 + 1 + 25 + 38*d - 36*d + 15 to g*d + s and give s. 40 Rearrange -n**2 - 35*n - 1 - 4*n**3 + 3 + 36*n to r*n**2 + h*n**3 + p*n + d and give d. 2 Rearrange 35*n + 0*n**2 - 55*n + 0*n**2 + n**2 to z + v*n + l*n**2 and give l. 1 Express -71*s**2 - 116*s**2 + 7*s**2 + (s - 4 + 1 + 5)*(5*s - 3*s + 0*s) in the form g*s + z*s**2 + r and give z. -178 Rearrange (-a**2 + 4*a**2 - 2*a**2)*(a**2 - 6*a**2 + 32*a**2) to b*a**3 + j*a**2 + g*a + w + q*a**4 and give q. 27 Rearrange -4*n**4 + 5*n**4 - 2*n**4 + (-7*n + 4*n + n)*(-n**3 + 3 - 3) + n**4 - 2*n**4 - 2*n**4 + 2 to the form w*n**3 + g*n + d*n**4 + l*n**2 + y and give g. 0 Rearrange -68*t - 6*t + 0*t to z + q*t and give q. -74 Express -8*v - 2*v + 0*v + 2*v**2 in the form j + b*v + f*v**2 and give f. 2 Express 52*y**2 - 14*y**2 + 116*y**2 - 28*y**2 in the form h*y + i + n*y**2 and give n. 126 Express -1310*d + 659*d + 571*d in the form z*d + u and give u. 0 Express w**3 + w**3 + w**4 - 7 - 2*w**4 + 10 in the form i*w**2 + d*w**4 + b + m*w + g*w**3 and give g. 2 Rearrange (1 - 2*w**4 - 1)*((3 + 0 - 2)*(1 + 2 - 4) + (4 + 7 - 4)*(1 - 2 + 2)) to f + o*w**3 + g*w**4 + i*w + y*w**2 and give g. -12 Rearrange v + 49*v**2 - 2*v - 3*v + 2*v to r*v**2 + j + z*v and give r. 49 Express (0*f - 4*f + 5*f)*(3 - 6 - 18)*(f - f + 2*f) as b + p*f**2 + y*f and give p. -42 Rearrange 12*l**2 + 21*l**2 - 14*l**2 + (-5*l**2 - 5*l + 5*l)*(0 - 4 + 3) to the form u*l + z*l**2 + v and give z. 24 Express 0*s + 0*s + 3*s + 0 + 0 + s + (2*s - 3*s + 3*s)*(-4 + 2 + 3) + 2*s + 3*s - 3*s + 0*s - 2*s + 3*s as b*s + l and give b. 9 Express 2 - 2 - 2*d + (-3 + 2 + 2)*(-16*d + 45 - 45) as j*d + g and give j. -18 Rearrange 4 - 3 - 2*f**2 - f**3 - 3 - f + 2*f**4 - f**4 to the form h*f**4 + n*f**3 + q*f**2 + l + a*f and give l. -2 Rearrange (2*q**2 + q**2 - 2*q**2)*(141 - 22*q**2 - 141) to the form m*q**4 + z + s*q + a*q**3 + u*q**2 and give m. -22 Rearrange (3*j - 3*j + j)*(-4*j + j + 2*j + 3) - 2*j**2 + 3*j**2 + j**2 to the form y*j + s + q*j**2 and give y. 3 Express 3 - 26 + 5 + 6 - c as x + a*c and give a. -1 Express (5*j + j - 3*j)*(239 - 173 - 176) as c + s*j and give s. -330 Rearrange -6 + 4 + 3*p + 4 - 2*p + 1 - 1 + p + p - 3*p + (1 + 2*p - 1)*(-2 + 6 - 2) + 0 + 0 + 2*p to u + t*p and give u. 2 Express 6*p**2 - 8*p**2 + p**4 - 2*p + 3*p - 3*p**4 as t*p**3 + c*p**2 + o*p + n + g*p**4 and give g. -2 Rearrange (3*v**2 + 0*v**2 - 4*v**2)*(1 + 35 + 51) to the form t*v + x + g*v**2 and give g. -87 Rearrange 4*o**2 + 2 + 2*o**3 - o**2 - o**4 + 41*o - 41*o to the form m*o**3 + b + y*o + z*o**2 + i*o**4 and give z. 3 Rearrange (0*z**2 + 2*z**2 - 6*z**2)*(0 - 3 - 2) to t*z + k*z**2 + b and give k. 20 Express 0*g + 2*g - 19*g**3 + 9*g**3 + (3 - 3 - g)*(g**2 + 3*g**2 - 3*g**2) in the form k*g + r + c*g**3 + o*g**2 and give k. 2 Express (2*q + 1 + 0 + 0)*(-172*q**2 + 17*q**3 + 172*q**2) in the form w + x*q**2 + b*q + h*q**4 + n*q**3 and give h. 34 Express -i - 3*i**3 + i + i**4 - 2*i in the form b + k*i**2 + g*i**4 + z*i**3 + j*i and give z. -3 Express -8*y - 10*y + 5*y as j + x*y and give j. 0 Rearrange 2 - 2 + 12*l**2 - 30*l**2 to n*l**2 + j*l + d and give n. -18 Rearrange (-2*k - 2 + 2)*(4*k**3 - 4*k**3 + 2*k**3) + (3*k**2 + 0*k**2 - 2*k**2)*(k - 2*k**2 - k) to the form u*k**2 + y + x*k + z*k**4 + o*k**3 and give z. -6 Rearrange (6*f - f - 2*f)*(-43*f - 39*f + 29*f) to x*f + h + b*f**2 and give x. 0 Express 2*h**4 - h**3 - 2*h + 6*h - 5*h + 4*h**2 in the form v*h**2 + m*h**3 + c + y*h + b*h**4 and give m. -1 Rearrange 28*w**2 - 83*w**2 + 55 - 57 to s + l*w + m*w**2 and give s. -2 Express 6*c**2 - 4*c**2 - c**2 + (-2 - 2*c + 2)*(-3 + c + 3) + (0*c - 7*c - 6*c)*(c + 0*c + 0*c) in the form a*c + z + p*c**2 and give p. -14 Rearrange (7*g**4 + 5*g**4 + 5*g**4)*(21 - 23 + 17) to w*g**2 + s + c*g**3 + l*g**4 + i*g and give i. 0 Rearrange -8*q**2 - 128*q**2 + 61*q**2 to the form t + z*q**2 + l*q and give z. -75 Rearrange 1 + x - 1 + (-2 - 2*x + 2)*(-3 + 3 + 1) - 5 + 4 + 3 - 3*x + (2 + 2 - 2)*(5 - 5 + 3*x) to the form r*x + k and give k. 2 Express 2*x - 2*x + 4 + 9*x**2 - 7*x**2 in the form p + a*x + q*x**2 and give p. 4 Express x**4 - 105*x**2 - 2*x**4 + 104*x**2 + 12*x - 4*x as r + s*x**4 + d*x**2 + y*x**3 + k*x and give d. -1 Express (0 + 3 - 1)*((5*j - 4*j + 0*j)*(20 - 20 - 9*j) + 2*j**2 + 2 - 2) in the form w*j + p*j**2 + f and give p. -14 Rearrange -7*n + n**4 + 6*n + 7*n**3 + 0*n - n**2 to the form k*n**4 + g*n**2 + p*n**3 + i + v*n and give k. 1 Rearrange (0 - 1 - 4)*(16 - 16 + 5*q) to the form j + n*q and give n. -25 Rearrange (0 - z**2 + 0)*(-14*z - 2*z**2 + 14*z + (-2*z + z + 3*z)*(2*z + z - 6*z) + z - z + 2*z**2) to the form k + j*z**4 + r*z**2 + y*z**3 + b*z and give j. 6 Rearrange (26 - 17 + 22)*(0 - 3*a + 0) to l*a + w and give l. -93 Rearrange (4 - 4 - s)*(-2 - 1 + 6)*(2 - 2 + 3) - s + 0*s - s to y + p*s and give p. -11 Express (-1 + 1 - 2)*(-5*w - 4*w**2 - 2*w + 5*w) as b + s*w**2 + i*w and give i. 4 Rearrange 2*s**2 - 3 + 0*s + 2 + 0*s + 2*s**3 to the form g + h*s**2 + r*s + c*s**3 and give c. 2 Express (4 - 2 - 3)*(a - 5*a - 4*a)*(-a + 3*a - a) in the form d + r*a**2 + m*a and give r.
{ "pile_set_name": "DM Mathematics" }
363. Which is the closest to s? (a) 2 (b) 5/4 (c) 2/5 c Let i be 2/((-3)/(-6924)*-10). Let k = i - -463. What is the nearest to -0.1 in -4, k, 2/3, 1/2? 1/2 Let i be (-2128)/(-128) - 17 - (204/(-32) - -2). Let k(d) = 2*d. Let l be k(1). What is the nearest to -8.2 in l, 1/3, i? 1/3 Let n = 611.8 + -612. Which is the closest to n? (a) 1 (b) 1/2 (c) -4 (d) -6.5 b Suppose 0*v = v. Let x = -121/190 + 14/19. Let s(j) = -j**2 + 46*j - 203. Let p be s(41). What is the nearest to -5/4 in x, p, v? v Let c = -2 - -4. Let k = -10092.8 - -10093.3. What is the closest to -6 in k, 6, -2/11, c? -2/11 Let h be 25/(-56) - 436/(-763). What is the closest to -1 in h, 20, 0.4? h Let w = 0.4 + 0. Let r = 95 - 663/7. Let d = 0.037848 - 0.137848. Which is the nearest to d? (a) 0 (b) r (c) w a Let u be (18/30)/(27/(-30)). Which is the nearest to -18? (a) 3 (b) 0 (c) -0.06 (d) u d Let t(w) = -32*w**2 - 39*w**2 + 68*w**2 - 13 - 13*w. Let l be t(-3). What is the nearest to -0.8 in 4, l, 1/6? l Let p be 187/396 - (-12)/(-54). Which is the nearest to -1/5? (a) 0.4 (b) p (c) -10 b Let w = 147 + -166.5. Let k = -20 - w. What is the closest to -7 in -1, 0.4, k? -1 Let k be (-1)/(-2)*(-3 - -2). Let y be (-3)/65 - ((-444)/156 - -3). Let u = 1865 - 1866. What is the closest to u in y, -5, k? k Let s be (4*-1 - 2)/1. Let y = 1995 + -1994. Which is the closest to 0? (a) y (b) 2 (c) s a Let u = 1.7 - 1.5. Let w = 104.227 - 0.227. Let p = -106 + w. What is the nearest to 15 in 1, u, p? 1 Let g = -265181/20 + 13259. Which is the nearest to -0.06? (a) -1/3 (b) g (c) 0.5 b Let v = 22835 + -22789. Which is the closest to 1? (a) -0.2 (b) 15 (c) -1/7 (d) v c Let w = 8.03 - 8. Let n = 88 + -614/7. Let v(s) = 39*s - 434. Let i be v(11). Which is the closest to n? (a) i (b) w (c) 1 b Let u = 35464.3 - 35464. Let s = 9 + -4. Which is the nearest to -0.09? (a) s (b) -0.2 (c) u b Let d be 6/21 - 38/(-14). Let r be (10/(-7))/(4/56). Let m be (-6)/(-40) - (-8)/r. Which is the nearest to 2? (a) 1/5 (b) m (c) d c Let w = 186 + -189.42. Let m = 1.58 - w. What is the closest to -6 in m, 0.5, 0.3? 0.3 Let x(r) = -r**2 + 2*r + 3. Let q be x(3). Let f = -4165.3 - -4165. Let w = -40 - -40.06. Which is the closest to q? (a) w (b) f (c) -3 a Let t = 280.23 - -8.77. Let n = 301 - t. Which is the nearest to 1? (a) 1 (b) -4 (c) n (d) 5 a Let o = 5.04029 + -0.04029. Which is the closest to -0.1? (a) o (b) 1/3 (c) -31 b Let g = -6.756 + 6.856. Which is the nearest to g? (a) 3 (b) -3 (c) 7/15 c Let w = 87 + -89. Let n = -6 + 6.01. Let y = -0.41 + n. What is the nearest to 1 in w, -1, y? y Let m = -0.1319 - 198.8681. What is the nearest to 1 in 2/9, -3/4, m? 2/9 Let h be ((-6)/(-9))/(32/(-24)). Suppose 9*q = 4*q + 20. Suppose -16 = -3*o - q. Which is the closest to h? (a) o (b) -0.5 (c) 8/11 b Let z = 1747 + -1750. What is the nearest to 2/3 in -0.3, -2, z, -0.07? -0.07 Let p = 28.95 + -25.95. Let v = 2 + -3. Let d = -0.2 + 0.4. Which is the closest to d? (a) v (b) -0.1 (c) p b Let b = 16273 - 16259. What is the closest to 0.2 in -4/3, 13/4, -2/9, b? -2/9 Let j = 0.08 + -5.08. Let i = 2150 + -2161. Suppose -2*y = -3*a + a + 2, -4*y + 3*a = 2. What is the nearest to y in -1/9, i, j? -1/9 Let t = 4 - 3.88. Let d = t - 0.06. Let l = -6144/18433 - 1/55299. What is the nearest to l in d, 0, 0.5? 0 Let c = -12.9 + 13. Let v be 1 + 5 - (1 + 1). Let g = 311.4 + -311.4. What is the nearest to g in -2/5, v, c? c Let v be (-436)/(-20) - 4/(-10)*-2. Suppose 0 = -v*p - 11 + 53. Let z = 12 - 11. Which is the nearest to -1? (a) 0.6 (b) z (c) p a Suppose 4*h + 58 = f + 6*h, -8 = -4*h. Which is the closest to 0.1? (a) -0.5 (b) 4 (c) f (d) 1 a Suppose -7 = -p - 2*t, -2*p - 9 + 23 = 3*t. Let h be (-2)/12*(-84)/p. What is the closest to 1/3 in h, 0, -14? 0 Let d = -28.374 - -24.374. What is the closest to 1 in 2/7, d, 3, 309? 2/7 Let x = 2.94983 - -0.05017. What is the closest to -70 in -5/2, 0.3, x, 1/2? -5/2 Let b = 13.3 + 65.7. Let o = 82.3 - b. Let g = o - 3.3. What is the closest to 1/11 in g, 4, -1? g Suppose 10 = 3*w - 62*i + 66*i, -3*w = 2*i - 8. Which is the closest to 2/5? (a) -505 (b) 0.05 (c) w b Let v = 1287.9 - 1288. Which is the closest to v? (a) 1/4 (b) 1/5 (c) 6 (d) 1/2 b Let h be 8/44*(-33)/(-24). Suppose -2 = 55*v - 57*v. Which is the closest to 1/3? (a) -5 (b) v (c) h c Suppose 2*x = 4*k - 6, -5*k = -5*x - 0*k - 15. Let h be -1*(5 - (-576)/(-112)). Which is the closest to 0.1? (a) x (b) h (c) -1 b Let l = 375 - 408. Let y(f) = f**3 + 34*f**2 + 35*f + 69. Let d be y(l). What is the nearest to -1/2 in -1/4, d, -1? -1/4 Let y = -0.3379 + 3.3379. Which is the closest to 1? (a) -10 (b) y (c) 1 (d) 5 c Let l(q) = q**2 - 7*q + 8. Let z be l(6). Let n be (175/504)/(35/28)*(-48)/60. What is the closest to -1/2 in z, 24, n? n Let q = 47.5616 - -0.0384. Let a = 42.6 - q. What is the nearest to 1 in 3, 4, a? 3 Let h = -1315.9 + 1332.9. What is the nearest to h in 1/3, 1, -6? 1 Let v = 27 - 17. Let j be ((-126)/49 - -6) + (13 - 17). What is the closest to -0.1 in -6, v, j? j Let p = -0.4 - -2.2. Let q = -1.3 + p. Let z be 8/10 + (-120)/150. Which is the closest to z? (a) 0.1 (b) q (c) 2 a Suppose 3*r = 5*r + 18. Let k be ((-14)/(-6))/(r/18). Let p = k + 5. Which is the closest to p? (a) -3 (b) 0.3 (c) -5 b Let p be 3*8/(-36)*3/11*1. Which is the nearest to -0.03? (a) -5 (b) -11/7 (c) p c Let z = -770 - -704.6. Let t = z + 65.2. What is the closest to t in -2, -2/7, 3, 1? -2/7 Let j be 40/(-6) + ((-40)/(-24) - 3). Let o be j/(2*(-9)/3). What is the closest to -0.1 in -1, o, 0.04? 0.04 Let w = -0.02247 - -0.02247. What is the nearest to 1 in -4, w, -2/17, -3? w Suppose -2*h - 55 = 23*w - 22*w, -85 = 3*h - w. Which is the closest to h? (a) -3 (b) -1/8 (c) -1 (d) 0.2 a Let h = 672.7 - 684.7. Which is the nearest to h? (a) -1 (b) 3 (c) -0.6 (d) 2 a Let i = -0.1787 - -0.0377. What is the closest to 2 in -2, -5/4, i, 2? 2 Let g = -433/9 - -48. Let s = 4.4 - -16.6. Let u = s + -21.5. Which is the closest to g? (a) u (b) -0.3 (c) 0.9 b Let q = 153.845 + -154. Let r = q + -1.845. Let p(u) = u - 9. Let l be p(8). What is the closest to l in r, -0.5, -2/7? -0.5 Let z = 218 - 276. Let i = -58.2 - z. Which is the closest to 0.6? (a) i (b) -4/3 (c) 5 a Let w = 7471 + -97111/13. Which is the closest to w? (a) -2/7 (b) 2/11 (c) -7/2 b Let u = 1120 + -1123. What is the closest to u in -3, 3, -1/21? -3 Let g = 0.14 + -2.14. Let y = -18686 + 74743/4. Let i be 4/6 - (0 - 1). What is the closest to y in i, -4, g? g Let g = -876 + 427. Let u = g - -448.4. Which is the closest to -3? (a) -1/4 (b) 0.2 (c) u c Let j = 11.9 + -12.2. Suppose 10*m + 0*m - 1050 = 0. Let q = m - 102. Which is the nearest to j? (a) 0 (b) 0.3 (c) q a Let c = 30 + -22. Let z be 25/((-1125)/(-36))*5. Let q = 1 + -0.8. What is the nearest to 2/3 in c, q, z? q Let j = -2/57 + -163/228. Let z = 296/35 + -2734/315. What is the nearest to -1 in z, 4.2, j? j Let s = 6.2 - 4. Let n = 2 - s. Let h be (-24 - 1044/(-54)) + 2*(-30)/(-36). What is the nearest to -1 in n, -4/5, h? -4/5 Let q = 4/95 - 107/285. Which is the closest to 2? (a) -2 (b) 1.8 (c) q b Let h = -414 - -414.4. Which is the nearest to -2? (a) 1/106 (b) -1 (c) 6 (d) h b Suppose b - 1 + 29 = -5*p, 0 = b + 4*p + 22. What is the nearest to 1/3 in 2/5, b, -8/257? 2/5 Let j = -116 - -82. Let p = j + 37. Let b = -4/3 - -29/24. What is the nearest to b in p, 0.2, 1? 0.2 Let i = 14/723 + -19847/241. Let x = i + 83. Let d = -18 - -13. Which is the closest to d? (a) -2/15 (b) -0.5 (c) x b Let v = -3 - -4. Let r be (-4)/18 + (-47)/(-9). Let z = -449981.8 - -449982. Which is the closest to r? (a) v (b) z (c) 2 c Suppose -2*i - 8 = -2*o + 2, -5*i + 7 = -o. Let d be (o + (-306)/45)/(3 - 1). What is the nearest to 0.1 in 2.4, 1, d? d Let b be (-3)/(-99)*-3 + 525/2145. What is the closest to -1/4 in b, 166, 0, 2? 0 Suppose 22*v + 30 = 7*v. Let t be 6/v*((-320)/(-30) + -10). Let g be (-1)/(-2)*0/(-2). Which is the closest to g? (a) t (b) -0.2 (c) -1 b Let q = 19.4 - -21.3. Let d = -41.1 + q. Which is the nearest to 0.1? (a) d (b) -2/11 (c) -22 b Suppose -2*r + 88*y - 16 = 87*y, 6*y - 60 = 3*r. Let i = -3
{ "pile_set_name": "DM Mathematics" }
22904? 4 What is the thousands digit of 5793675? 3 What is the tens digit of 14403322? 2 What is the ten thousands digit of 556292? 5 What is the hundred thousands digit of 11227589? 2 What is the units digit of 5724575? 5 What is the units digit of 6843141? 1 What is the hundred thousands digit of 230822? 2 What is the units digit of 1543362? 2 What is the hundreds digit of 3464890? 8 What is the hundreds digit of 5705866? 8 What is the tens digit of 231182? 8 What is the tens digit of 166445? 4 What is the tens digit of 2698932? 3 What is the units digit of 347301? 1 What is the hundred thousands digit of 235885? 2 What is the units digit of 1274417? 7 What is the ten thousands digit of 2024583? 2 What is the hundred thousands digit of 5543487? 5 What is the thousands digit of 289481? 9 What is the thousands digit of 311030? 1 What is the thousands digit of 1598364? 8 What is the ten thousands digit of 1174926? 7 What is the tens digit of 115165? 6 What is the units digit of 224246? 6 What is the millions digit of 3992867? 3 What is the tens digit of 1978862? 6 What is the thousands digit of 118944? 8 What is the tens digit of 344869? 6 What is the millions digit of 1049047? 1 What is the units digit of 573910? 0 What is the units digit of 4866623? 3 What is the thousands digit of 22801474? 1 What is the thousands digit of 5256322? 6 What is the tens digit of 8419700? 0 What is the tens digit of 1458381? 8 What is the thousands digit of 15466329? 6 What is the ten thousands digit of 1654225? 5 What is the tens digit of 3164662? 6 What is the hundreds digit of 11987934? 9 What is the tens digit of 70471? 7 What is the hundreds digit of 12026283? 2 What is the thousands digit of 51458? 1 What is the hundred thousands digit of 519642? 5 What is the ten thousands digit of 536697? 3 What is the thousands digit of 4420663? 0 What is the hundreds digit of 742483? 4 What is the hundreds digit of 1379068? 0 What is the ten thousands digit of 7849167? 4 What is the hundreds digit of 208434? 4 What is the units digit of 1208263? 3 What is the hundred thousands digit of 824114? 8 What is the ten thousands digit of 514001? 1 What is the thousands digit of 3362924? 2 What is the tens digit of 1023978? 7 What is the units digit of 1277601? 1 What is the units digit of 1524540? 0 What is the units digit of 723341? 1 What is the units digit of 209636? 6 What is the units digit of 6091225? 5 What is the hundred thousands digit of 1461473? 4 What is the thousands digit of 1847167? 7 What is the hundred thousands digit of 236315? 2 What is the millions digit of 3567729? 3 What is the hundred thousands digit of 13258517? 2 What is the thousands digit of 2223602? 3 What is the thousands digit of 372243? 2 What is the thousands digit of 12558951? 8 What is the thousands digit of 118021? 8 What is the ten thousands digit of 3654082? 5 What is the units digit of 7977? 7 What is the hundreds digit of 1585806? 8 What is the hundreds digit of 3197554? 5 What is the hundred thousands digit of 986949? 9 What is the tens digit of 37336? 3 What is the ten thousands digit of 9454481? 5 What is the millions digit of 1478290? 1 What is the thousands digit of 4429203? 9 What is the thousands digit of 10457259? 7 What is the hundreds digit of 660259? 2 What is the hundred thousands digit of 929997? 9 What is the tens digit of 61419? 1 What is the tens digit of 5928796? 9 What is the thousands digit of 2096236? 6 What is the units digit of 278465? 5 What is the hundreds digit of 664296? 2 What is the millions digit of 18234303? 8 What is the ten thousands digit of 15544653? 4 What is the units digit of 385779? 9 What is the ten thousands digit of 404274? 0 What is the tens digit of 698536? 3 What is the units digit of 511630? 0 What is the hundreds digit of 11955977? 9 What is the ten thousands digit of 301837? 0 What is the ten millions digit of 27983329? 2 What is the ten thousands digit of 695806? 9 What is the tens digit of 250420? 2 What is the hundreds digit of 2590916? 9 What is the hundred thousands digit of 285193? 2 What is the thousands digit of 1587457? 7 What is the hundred thousands digit of 274210? 2 What is the hundred thousands digit of 802086? 8 What is the thousands digit of 4889748? 9 What is the hundreds digit of 228466? 4 What is the ten thousands digit of 1509119? 0 What is the ten thousands digit of 103744? 0 What is the ten thousands digit of 5235634? 3 What is the tens digit of 717309? 0 What is the units digit of 4624884? 4 What is the thousands digit of 3026227? 6 What is the thousands digit of 744936? 4 What is the units digit of 2150445? 5 What is the tens digit of 1240751? 5 What is the hundreds digit of 10955826? 8 What is the hundred thousands digit of 357768? 3 What is the hundreds digit of 1869886? 8 What is the millions digit of 11701422? 1 What is the hundreds digit of 242251? 2 What is the tens digit of 3850422? 2 What is the tens digit of 88639? 3 What is the ten thousands digit of 16152710? 5 What is the millions digit of 3036749? 3 What is the units digit of 2047792? 2 What is the ten thousands digit of 3287723? 8 What is the hundreds digit of 2704761? 7 What is the thousands digit of 4108028? 8 What is the millions digit of 7530452? 7 What is the tens digit of 93948? 4 What is the hundred thousands digit of 242029? 2 What is the hundred thousands digit of 2177860? 1 What is the hundred thousands digit of 247633? 2 What is the tens digit of 9456775? 7 What is the hundred thousands digit of 610322? 6 What is the hundreds digit of 788818? 8 What is the units digit of 560948? 8 What is the millions digit of 6424592? 6 What is the ten thousands digit of 245032? 4 What is the ten thousands digit of 240966? 4 What is the units digit of 2822199? 9 What is the millions digit of 3814217? 3 What is the thousands digit of 681218? 1 What is the hundred thousands digit of 569632? 5 What is the tens digit of 3071043? 4 What is the units digit of 64918? 8 What is the hundred thousands digit of 9307922? 3 What is the ten thousands digit of 26459? 2 What is the tens digit of 2045213? 1 What is the hundreds digit of 634464? 4 What is the units digit of 1201313? 3 What is the units digit of 159376? 6 What is the thousands digit of 10630319? 0 What is the ten thousands digit of 7981356? 8 What is the ten thousands digit of 2971043? 7 What is the ten thousands digit of 7150500? 5 What is the thousands digit of 233343? 3 What is the ten thousands digit of 760188? 6 What is the tens digit of 204995? 9 What is the hundred thousands digit of 776771? 7 What is the millions digit of 5211435? 5 What is the hundred thousands digit of 1718918? 7 What is the hundreds digit of 380716? 7 What is the ten thousands digit of 169562? 6 What is the hundred thousands digit of 2298659? 2 What is the ten millions digit of 11057992? 1 What is the tens digit of 155273? 7 What is the ten thousands digit of 564880? 6 What is the thousands digit of 1595049? 5 What is the hundreds digit of 4102702? 7 What is the ten millions digit of 17999756? 1 What is the hundred thousands digit of 244204? 2 What is the tens digit of 928316? 1 What is the tens digit of 172388? 8 What is the hundred thousands digit of 25669517? 6 What is the hundreds digit of 3033412? 4 What is the thousands digit of 39546? 9 What is the ten thousands digit of 400398? 0 What is the tens digit of 21657556? 5 What is the hundred thousands digit of 1707879? 7 What is the units digit of 12747401? 1 What is the tens digit of 3053062? 6 What is the tens digit of 1360042? 4 What is the hundred thousands digit of 702466? 7 What is the hundred thousands digit of 411141? 4 What is the units digit of 3377953? 3 What is the hundreds digit of 979758? 7 What is the thousands digit of 3808598? 8 What is the tens digit of 291930? 3 What is the units digit of 1997345? 5 What is the millions digit of 5885941? 5 What is the ten thousands digit of 104175? 0 What is the units digit of 277072? 2 What is the hundred thousands digit of 30075039? 0 What is the ten thousands digit of 515164? 1 What is the units digit of 12196459? 9 What is the ten thousands digit of 58692? 5 What is the units digit of 1671318? 8 What is the tens digit of
{ "pile_set_name": "DM Mathematics" }
minute? 15000 How many millilitres are there in 4.329616 litres? 4329.616 What is 88.1787 microseconds in minutes? 0.000001469645 What is 0.7756017l in millilitres? 775.6017 Convert 2.07872 kilograms to tonnes. 0.00207872 How many kilograms are there in seven quarters of a tonne? 1750 What is 5/8 of a gram in milligrams? 625 What is 60.49365 micrograms in nanograms? 60493.65 How many milligrams are there in 7/2 of a gram? 3500 What is fifteen quarters of a microgram in nanograms? 3750 Convert 8984.704ms to seconds. 8.984704 What is five eighths of a millimeter in micrometers? 625 What is 57/2 of a litre in millilitres? 28500 How many meters are there in seventeen tenths of a kilometer? 1700 Convert 7515.2682ms to hours. 0.0020875745 How many decades are there in 32.6698 years? 3.26698 How many seconds are there in 1/4 of a hour? 900 What is 2.053428 days in nanoseconds? 177416179200000 How many months are there in one quarter of a millennium? 3000 Convert 0.8539931 litres to millilitres. 853.9931 What is 63218.49 days in microseconds? 5462077536000000 How many kilometers are there in 5999.216um? 0.000005999216 What is fourty-five quarters of a meter in centimeters? 1125 What is 346232.1 kilometers in meters? 346232100 Convert 9749.416 centimeters to meters. 97.49416 How many microseconds are there in 76/5 of a millisecond? 15200 What is 72584.58us in seconds? 0.07258458 How many months are there in 7/15 of a millennium? 5600 What is 766.7935nm in centimeters? 0.00007667935 How many microseconds are there in six fifths of a millisecond? 1200 Convert 26660.45ug to nanograms. 26660450 What is twenty-five quarters of a litre in millilitres? 6250 What is 29.90031 millilitres in litres? 0.02990031 What is 738101.3mm in meters? 738.1013 What is 64/5 of a centimeter in millimeters? 128 How many centimeters are there in 77.31144 kilometers? 7731144 How many months are there in 178262.3 centuries? 213914760 Convert 1769.97636 microseconds to days. 0.0000000204858375 What is six fifths of a milligram in micrograms? 1200 How many centimeters are there in 825696.3m? 82569630 What is 1.344368 millennia in centuries? 13.44368 What is three fifths of a decade in months? 72 What is 34/9 of a hour in seconds? 13600 How many meters are there in fifty-three fifths of a kilometer? 10600 Convert 2638.152 months to decades. 21.9846 How many millilitres are there in 3/10 of a litre? 300 How many millilitres are there in 7/8 of a litre? 875 What is 180860.148ns in weeks? 0.00000000029904125 Convert 515.9497 days to nanoseconds. 44578054080000000 What is 1/4 of a century in months? 300 What is twenty-seven fifths of a hour in seconds? 19440 How many milligrams are there in 177362.4t? 177362400000000 Convert 846.2723us to milliseconds. 0.8462723 Convert 400055.3g to micrograms. 400055300000 Convert 83.14744 millilitres to litres. 0.08314744 How many millilitres are there in 20.35085l? 20350.85 What is one quarter of a microgram in nanograms? 250 What is 10795128.12 nanoseconds in weeks? 0.0000000178490875 Convert 27.25102km to nanometers. 27251020000000 How many seconds are there in 594367.7 milliseconds? 594.3677 How many micrometers are there in 38093.49 centimeters? 380934900 What is 8/3 of a hour in minutes? 160 What is 58005.6 decades in millennia? 580.056 What is 651.9977ng in tonnes? 0.0000000000006519977 What is 1.146872 micrograms in nanograms? 1146.872 How many years are there in 16.01856 months? 1.33488 What is 1/72 of a day in seconds? 1200 What is 4.552006 nanoseconds in microseconds? 0.004552006 How many milligrams are there in 31/5 of a gram? 6200 How many weeks are there in 4168.31814 minutes? 0.413523625 How many months are there in twenty-one eighths of a millennium? 31500 How many minutes are there in seven sixths of a hour? 70 What is 29/5 of a millennium in years? 5800 How many litres are there in 74297.92 millilitres? 74.29792 What is 28/15 of a hour in minutes? 112 Convert 94.1217ml to litres. 0.0941217 How many centimeters are there in 93506.6km? 9350660000 Convert 10405.87cm to millimeters. 104058.7 How many minutes are there in five sixths of a week? 8400 What is 0.026538 micrometers in meters? 0.000000026538 How many minutes are there in thirteen fifths of a week? 26208 Convert 0.0145617 centimeters to millimeters. 0.145617 How many millilitres are there in 1/20 of a litre? 50 What is 3/5 of a microsecond in nanoseconds? 600 What is 5/4 of a day in minutes? 1800 What is 1/6 of a millennium in months? 2000 How many months are there in 6.739809 centuries? 8087.7708 How many millilitres are there in one fifth of a litre? 200 How many years are there in 1/4 of a century? 25 How many years are there in 93.2848 centuries? 9328.48 What is 4.613677 millimeters in micrometers? 4613.677 How many milligrams are there in three tenths of a gram? 300 How many minutes are there in seven fifteenths of a hour? 28 How many litres are there in 754264.9ml? 754.2649 How many seconds are there in six fifths of a minute? 72 How many months are there in 6/5 of a millennium? 14400 How many meters are there in 8392.595um? 0.008392595 How many millilitres are there in twenty-seven fifths of a litre? 5400 How many weeks are there in 474457.62 hours? 2824.1525 How many seconds are there in 6002.668ns? 0.000006002668 What is seven eighths of a minute in milliseconds? 52500 How many kilometers are there in 40536.72nm? 0.00000004053672 How many months are there in 8/25 of a millennium? 3840 How many nanometers are there in 2.146163m? 2146163000 What is three fifths of a kilometer in meters? 600 How many nanoseconds are there in 93319.99 minutes? 5599199400000000 What is 13/5 of a millennium in years? 2600 What is 43550.34 millennia in months? 522604080 What is 1/10 of a decade in years? 1 What is 117.2307g in kilograms? 0.1172307 How many meters are there in 3.784127 nanometers? 0.000000003784127 How many grams are there in sixty-one halves of a kilogram? 30500 What is 947.9141 millilitres in litres? 0.9479141 How many hours are there in four thirds of a week? 224 How many years are there in 0.1639149 months? 0.013659575 What is 33355.12 litres in millilitres? 33355120 How many litres are there in 81.4633ml? 0.0814633 How many millilitres are there in thirty-three fifths of a litre? 6600 How many micrometers are there in 17.08877 kilometers? 17088770000 How many centimeters are there in one fifth of a kilometer? 20000 What is 1/4 of a milligram in micrograms? 250 How many centuries are there in 262368.81 months? 218.640675 What is 1/5 of a millimeter in micrometers? 200 What is nineteen quarters of a litre in millilitres? 4750 How many milliseconds are there in three eighths of a second? 375 What is one quarter of a gram in milligrams? 250 How many milliseconds are there in 5/8 of a second? 625 What is 117379.9 centuries in years? 11737990 What is seven quarters of a milligram in micrograms? 1750 What is 1/5 of a litre in millilitres? 200 Convert 2.335924 decades to months. 280.31088 How many grams are there in twenty-seven quarters of a kilogram? 6750 What is one quarter of a kilogram in grams? 250 How many nanograms are there in seven halves of a microgram? 3500 Convert 0.0111192ml to litres. 0.0000111192 Convert 806923.2 litres to millilitres. 806923200 What is 460.593 micrograms in kilograms? 0.000000460593 Convert 0.3808768l to millilitres. 380.8768 How many micrograms are there in 75458.05mg? 75458050 What is fifteen quarters of a litre in millilitres? 3750 What is twenty-seven halves of a kilogram in grams? 13500 How many years are there in 6/25 of a century? 24 Convert 3622.711l to millilitres. 3622711 Convert 0.6980298 litres to millilitres. 698.0298 How many kilograms are there in 17/4 of a tonne? 4250 What is 629.488 millilitres in litres? 0.629488 How many grams are there in 47/4 of a kilogram? 11750 How many milliseconds are there in 47.83443 minutes? 2870065.8 How many decades are there in 0.1187117 millennia? 11.87117 How many millilitres are there in one tenth of a litre? 100 What is 3030.524 nanograms in grams? 0.000003030524 How many days are there in 13/7 of a week? 13 Convert 490.9386 millilitres to litres. 0.4909386 How many nanometers are there in
{ "pile_set_name": "DM Mathematics" }
uppose -5*g + 35 = 2*i - j*g, 4*g = i - 25. Let n = 162 + -86. What is the remainder when n is divided by i? 11 Let u = 16545 + -15564. What is the remainder when u is divided by 59? 37 Let b be (15*(-4)/14)/(9/(-315)). Suppose 27*c = 21*c + b. What is the remainder when 69 is divided by c? 19 What is the remainder when (-5 - -3)*29/((-377)/208) is divided by 17? 15 Let a(q) = q**3 + 8*q**2 + 4*q - 6. Let f(w) = w**2 - 98*w + 1553. Calculate the remainder when f(17) is divided by a(-7). 11 Suppose 5*g + 63 = 4*m, -154*m = -155*m - 2*g - 7. Suppose -j = 3*w - 0*j - 28, 3*w - 5*j - 22 = 0. Calculate the remainder when w is divided by m. 2 Suppose 79*n + 49 = 83*n + 5*k, 4*n - 4*k - 40 = 0. Calculate the remainder when ((-16)/5)/((-10)/200) is divided by n. 9 Let v = 476 + -477. What is the remainder when 1/2 + (-159)/(-2) is divided by (-84)/(-8)*(1 - v)? 17 Suppose 0 = 4*c - 5*f - 1122, 2*c + 4*f + 105 = 627. Calculate the remainder when 3289 is divided by c. 13 Let v = -36385 - -36479. Suppose -2*q - 15 = -c, 50 = 4*c + 2*q + 10. What is the remainder when v is divided by c? 6 Let o = 195 - 182. Suppose 0 = 2*b - 79 - 333. Suppose -b = -o*x - 24. What is the remainder when 52 is divided by x? 10 Let q = 95 - 92. What is the remainder when -4 - (0 - 3) - -12 is divided by (-2 - 0)/((-44)/12 + q)? 2 Suppose -176 = -11*t + 10*t. What is the remainder when t is divided by ((-324)/144)/((-3)/8)? 2 Suppose 0*y = -5*y + 75. Let q = 58468 - 58441. What is the remainder when q is divided by y? 12 Suppose 5*k - g = -1856 - 1185, -3*k - 1807 = -5*g. Let m = -590 - k. What is the remainder when 26 is divided by m? 7 Suppose h - 54 = -2. Suppose -c + h = 8. Suppose 45 = -138*r + 141*r. What is the remainder when c is divided by r? 14 Suppose -27*y - 242 = -31*y - 2*n, 0 = 3*y - 2*n - 171. What is the remainder when y is divided by 15? 14 Suppose -116*b + 62*b + 3799 = -3059. Calculate the remainder when b is divided by 15. 7 Let c = 346 + -276. Let p = c - -63. What is the remainder when p is divided by 20? 13 Let g(z) = 93*z**2 - z. Let b = 87 - 84. Suppose -b*l + 4*v + 40 = -17, -19 = -l - 2*v. Calculate the remainder when g(1) is divided by l. 16 Suppose 0 = -26*f + 259*f - 577607. Calculate the remainder when f is divided by 10. 9 What is the remainder when -5 + ((-16)/6)/(6 - 7188/1197) is divided by 42? 23 Calculate the remainder when 3381 is divided by ((-2)/6)/((130/780)/(-9*1)). 15 Suppose -3*v - 27 = -3*i, 5*i + 5*v - 24 = -19. Suppose -i*a - 3*u = -306 + 31, 0 = -4*u. Calculate the remainder when 135 is divided by a. 25 Let b = -936 - -977. What is the remainder when 4054 is divided by b? 36 Suppose 13*u = 2*u - 88. Let b(r) = -44*r. Let c be b(-1). What is the remainder when 73 is divided by 869/c - (-6)/u? 16 Let k(g) = 57*g**2 + 3*g + 4. Suppose 4*x = 2*x + 810. What is the remainder when x is divided by k(-1)? 57 Suppose 3*w = -w. Suppose w*a + 4*a - 184 = 0. Suppose -7*r - 293 + 412 = 0. Calculate the remainder when a is divided by r. 12 Let s(l) = l + 21. Let j be s(27). Suppose -5*n = -2*v + 6*v - j, 2*v + 2*n - 24 = 0. What is the remainder when 130 is divided by v? 10 Let c be (15/(-9) - -2)*234. Let t = -76 + c. Let r = t + 23. Calculate the remainder when r is divided by 14. 11 Suppose 0 = -m + 76 + 20. Suppose -4*x - 3*j - 5211 = 0, 3*x = 8*x - 3*j + 6534. Let a = 1312 + x. What is the remainder when m is divided by a? 5 Let o = 63 - -33. Let i(t) = t**3 - 50*t**2 + 367*t + 25. What is the remainder when o is divided by i(9)? 5 Let d(q) = -185*q + 3679. What is the remainder when d(15) is divided by 194? 128 Let x = -734 + 731. Calculate the remainder when 279 is divided by x/(-5)*(-470)/(-6). 44 Let x be 1 - 35/(-5) - 4. Suppose 15 - 6 = -3*j. What is the remainder when 30 is divided by 10 + 1 + j - x? 2 Calculate the remainder when 26639 is divided by 10*(-17)/1020*-1110. 184 Suppose 5*u - 2*n - 20 = 0, 5*u = 4*n - 0 + 20. Suppose -4*t + 2*p = -92, 0 = -3*t - u*p - 5 + 52. What is the remainder when 167 is divided by t? 20 Let v = -1572 + 1809. Let k(b) = -41*b - 1. What is the remainder when v is divided by k(-1)? 37 Let v(b) = -b**3 + 38*b**2 + 81*b - 26. Let x be v(40). What is the remainder when 46 is divided by 357/x + 2 + 5/(-2)? 21 Let w(x) = x**3 + 23*x**2 + 61*x - 104. Calculate the remainder when w(-16) is divided by 22. 8 Let n(x) = -x**3 - 3*x**2 - 6*x - 3. Suppose -8902 - 7681 = -101*h - 60*h. Calculate the remainder when h is divided by n(-4). 29 Let h = 254 - 251. Suppose 3*t = -8*b + 9*b - 26, b = -h*t + 8. Calculate the remainder when 99 is divided by b. 14 Let i = 12081 - 12066. What is the remainder when 1495 is divided by i? 10 Let w = -7697 - -7718. Calculate the remainder when 540 is divided by w. 15 Let r = 341 + -335. Suppose -3*j + 83 = 5*z - 235, -3*j + 321 = 4*z. What is the remainder when j is divided by r? 3 Let h be (-2)/((-8)/(-140))*(1 - 0). Let r be (4/7*-3)/(5/h). Suppose -239 = -r*f + 229. What is the remainder when 155 is divided by f? 38 Suppose 21747 = 18*s - 3507. What is the remainder when 108 is divided by 2/4 - s/(-46)? 15 Let a(p) = -20*p + 9 + 12 + 197*p**2 - 198*p**2 - 7. What is the remainder when 293 is divided by a(-6)? 97 Suppose 4*j = 2*v - 8 - 14, -4*j = 2*v + 2. Let p = 191 - 187. Suppose -v*u + 6*u = -p*k + 11, 15 = -3*u. What is the remainder when 13 is divided by k? 1 What is the remainder when 872 is divided by ((-430)/(-30) - 17)/(3/(-18))? 8 Let x(s) = 28*s**2 - 129*s + 360. What is the remainder when x(3) is divided by 17? 4 Let i be 2/5*(-5 + 0). Suppose 3*x + 12 = 2*j, 36*j - 53 = 31*j - 4*x. Calculate the remainder when 38 is divided by 12*(-3)/j*i. 6 Let j = -171 - -147. What is the remainder when 128 is divided by (j/(-20))/((-468)/(-150) - 3)? 8 Suppose 4*t - 14 = -2*b - 6, b = -3*t + 8. Calculate the remainder when 244 is divided by 13/3 + t/6. 4 Let b = 3854 - 3651. Calculate the remainder when 539 is divided by b. 133 Let v(t) = -2*t**3 + 33*t**2 + 31*t - 172. Calculate the remainder when 614 is divided by v(17). 20 Suppose -39 = 79*s - 82*s - 4*n, 24 = 2*s + 3*n. What is the remainder when 104 is divided by s? 20 Let u = 286 - 94. What is the remainder when u is divided by 43 + 1050/(-50) + 0? 16 Suppose 24173 = 26*f - 17167. What is the remainder when f is divided by 8? 6 Suppose -8 = 4*a, -6*h + 4*a + 583 = -h. What is the remainder when (12/(-15))/1*h/(-2) is divided by 6? 4 Suppose 118*t - 325 = -3*s + 119*t, 4*s - t - 433 = 0. Suppose -21 = -n + 16. What is the remainder when s is divided by n? 34 What is the remainder when (185 + 0)*(-1 + ((-87)/(-5) - 4)) is divided by 135? 134 Suppose 36*s = 2223 + 945. Calculate the remainder when 714 is divided by s. 10 Let p = -1019 + 659. Let s = p + 363. What is the remainder when s is divided by 3? 0 Suppose 5*f - 20 = -0*f. Suppose -63 = f*d - 439. Suppose 52 = 4*t - 8*r + 4*r, 2*r - 22 = -t. What is the remainder when d is divided by t? 14 Let p be 2 - (0/3 + 2). Suppose -7*v + 2*v + 60 = p. Calculate the remainder when 30 is divided by 1*(182/v + 4/(-24)). 0 Let x = 132 + -53. Suppose -18*b + x = -263. What is the remainder when 73 is divided by b? 16 Let w be (-1)/4 + (-11 - 135/(-12)). Suppose w = 3*z + 15, 9*p = 6*p - z + 250. Calculate the remainder when p is divided by 22. 19 Suppose 0 = -3*g + 1506 - 1461. Let d be 0 - ((-2)/(-2) - 4). Suppose 0 = -3*x + 5*h + 62, 4*h - 36 = -d*x + 17. What is the remainder when x is divided by g? 4 Let x = 97 + -25. Suppose -244*r + 248*r - x = 0. Calculate the remainder when 4/10 - (-1029)/15 is divided by r. 15 Let m = 90087 + -90084. Let p(q) = -q + 11. Let v be p(6). Suppose v = 3*h + 2. Calculate the remainder when m is divided by h. 0 Suppose -3*j = -12, -17*m + j - 61 = -18*m. Calculate the remainder when 89 is divided by m. 32 Suppose 21 - 16 = -g. Let f be (-1029)/6 - 1/(10/g). Calculate the remainder when 2*3/10 + f/(-15) is divided by 3. 0 Let z = 3507 + -3462. What is the remainder when 306 is divided by z? 36 Let k(t) = -t**2 + 16*t + 8. Let m = -564 + 582. What is the remainder when k(9) is divided by m? 17 Let d(j) = -2*j**3 - 107*j**2 + 51*j - 135. What is the remainder when 12/(-8)*280/(-12) is divided by d(-54)? 8 Let f(k) = 18*k**2 + k + 5. Let h(l)
{ "pile_set_name": "DM Mathematics" }
0. 0, 2, 3, 4 Factor 3*c**4 - 117*c**3 + 1620*c**2 - 9072*c + 15552. 3*(c - 12)**3*(c - 3) What is w in -w**4/7 + 93*w**3/7 + 285*w**2/7 + 41*w + 96/7 = 0? -1, 96 Determine y so that 5*y**4 - 85*y**2 - 180*y - 100 = 0. -2, -1, 5 Determine h so that 2*h**5 + h**4 - 7*h**3 + h**2 + 5*h - 2 = 0. -2, -1, 1/2, 1 Factor 9*o**4 - 21*o**3 - 21*o**2 + 9*o. 3*o*(o - 3)*(o + 1)*(3*o - 1) Let -2*h**4/5 + 38*h**3/5 = 0. What is h? 0, 19 Factor -4*q**2 + 296*q - 5476. -4*(q - 37)**2 Let -2*f**3 + 10*f**2 + 66*f + 54 = 0. What is f? -3, -1, 9 Determine n, given that -3*n**5/8 - 3*n**4 + 3*n**3 + 36*n**2 - 54*n = 0. -6, 0, 2 Let -2*l**4/7 - 8*l**3/7 + 42*l**2 + 2540*l/7 + 800 = 0. What is l? -8, -5, 14 What is d in 8*d**4/9 - 2*d**3/3 - 8*d**2/9 + 2*d/3 = 0? -1, 0, 3/4, 1 Factor 2*j**4 + 76*j**3 + 262*j**2 - 340*j. 2*j*(j - 1)*(j + 5)*(j + 34) What is j in -5*j**4 - 835*j**3 - 10185*j**2 - 26705*j + 37730 = 0? -154, -7, 1 Factor -2*a**2 + 1044*a - 136242. -2*(a - 261)**2 Find b such that b**2 - 43*b - 188 = 0. -4, 47 Factor 2*i**2/15 + 24956*i/15 + 77850242/15. 2*(i + 6239)**2/15 Suppose 5*l**4 + 10*l**3 - 15*l**2 - 20*l + 20 = 0. Calculate l. -2, 1 Let -2*o**5/9 + 2*o**3/3 - 4*o**2/9 = 0. Calculate o. -2, 0, 1 Determine x so that 2*x**2/5 - 4*x - 48/5 = 0. -2, 12 Determine s so that 2*s**3 + 30*s**2 + 24*s - 56 = 0. -14, -2, 1 Factor -5*s**2 - 1880*s. -5*s*(s + 376) Solve -2*v**3/3 + 30*v**2 - 256*v/3 + 56 = 0 for v. 1, 2, 42 Factor 2*v**2/11 - 640*v/11 + 51200/11. 2*(v - 160)**2/11 Let -5*r**4 - 10*r**3 + 5*r**2 + 10*r = 0. What is r? -2, -1, 0, 1 Solve 2*u**4 + 244*u**3 - 496*u**2 = 0 for u. -124, 0, 2 Find l such that -l**4/4 + 5*l**3/2 - 6*l**2 - 5*l/2 + 25/4 = 0. -1, 1, 5 Solve 2*a**5/5 - 6*a**4/5 + 8*a**2/5 = 0 for a. -1, 0, 2 Factor 2*r**5 + 22*r**4 + 84*r**3 + 128*r**2 + 64*r. 2*r*(r + 1)*(r + 2)*(r + 4)**2 Let 2*w**5/7 - 4*w**4/7 - 310*w**3/7 - 1128*w**2/7 - 1080*w/7 = 0. Calculate w. -9, -2, 0, 15 What is u in -u**2/4 + 7*u/4 = 0? 0, 7 Let -r**4/2 - r**3/2 + 2*r**2 + 2*r = 0. Calculate r. -2, -1, 0, 2 Find t, given that t**3 + 8*t**2 - 64*t - 512 = 0. -8, 8 Suppose -260*m**2 + 1564*m - 24 = 0. What is m? 1/65, 6 Factor -z**2 + 128*z - 4096. -(z - 64)**2 Factor h**3/8 + 23*h**2/4 - 47*h/8. h*(h - 1)*(h + 47)/8 Factor 2*c**3 - 268*c**2. 2*c**2*(c - 134) Factor -4*y**4/7 - 8*y**3 - 96*y**2/7. -4*y**2*(y + 2)*(y + 12)/7 Factor -8*w**2 + 4*w + 84. -4*(w + 3)*(2*w - 7) Find j such that 2*j**2/7 + 202*j/7 + 200/7 = 0. -100, -1 Factor 3*y**4 + 117*y**3 + 1389*y**2 + 4743*y + 3468. 3*(y + 1)*(y + 4)*(y + 17)**2 Factor -4*z**2 + 16392*z - 16793604. -4*(z - 2049)**2 Solve -567*t**3/8 + 765*t**2/4 + 519*t/8 - 9/4 = 0. -1/3, 2/63, 3 Factor -4*f**3/3 - 300*f**2 + 904*f/3. -4*f*(f - 1)*(f + 226)/3 Find f, given that -25*f**5 - 735*f**4 - 990*f**3 - 280*f**2 = 0. -28, -1, -2/5, 0 Factor 3*y**2 + 1716*y + 245388. 3*(y + 286)**2 Factor -2*d**5/23 + 1330*d**4/23. -2*d**4*(d - 665)/23 Find d such that -21*d**4 - 183*d**3 + 1398*d**2 - 2148*d + 504 = 0. -14, 2/7, 2, 3 Solve -a**4/2 + 814*a**3 - 331298*a**2 = 0 for a. 0, 814 Factor i**2/3 + 7*i/3 + 4. (i + 3)*(i + 4)/3 Factor -o**5 + 2*o**4 + 2*o**3 - 4*o**2 - o + 2. -(o - 2)*(o - 1)**2*(o + 1)**2 Factor y**2/6 - 19*y/3 + 52. (y - 26)*(y - 12)/6 Factor -6*i**2/7 - 702*i/7. -6*i*(i + 117)/7 Determine k, given that 4*k**5/7 - 80*k**4/7 + 564*k**3/7 - 216*k**2 + 432*k/7 + 2592/7 = 0. -1, 3, 6 Factor 2*j**3 + 24*j**2 + 42*j + 20. 2*(j + 1)**2*(j + 10) Suppose 3*d**5/4 + 33*d**4/4 + 75*d**3/4 + 15*d**2/4 - 39*d/2 - 12 = 0. What is d? -8, -2, -1, 1 Factor -2*v**3 + 24*v**2 - 72*v + 64. -2*(v - 8)*(v - 2)**2 Factor 7*b**3/5 - 229*b**2/5 + 1334*b/5 + 80. (b - 25)*(b - 8)*(7*b + 2)/5 Solve -2*i**4 - 40*i**3 + 482*i**2 - 1136*i + 696 = 0. -29, 1, 2, 6 Factor 3*o**2 + 108*o + 297. 3*(o + 3)*(o + 33) Suppose o**4 - 15*o**3 - 54*o**2 + 864*o + 2592 = 0. Calculate o. -6, -3, 12 Find t such that t**3/8 - 11*t**2/2 - 23*t/2 = 0. -2, 0, 46 Factor 4*l**4/9 - 124*l**3/9 + 952*l**2/9. 4*l**2*(l - 17)*(l - 14)/9 Determine o, given that -20*o**4 - 36*o**3 + 12*o**2 + 52*o + 24 = 0. -1, 6/5 Factor 2*v**2/9 + 38*v/3 + 112/9. 2*(v + 1)*(v + 56)/9 Find i such that -i**5/3 - 53*i**4/3 + 113*i**3/3 + 157*i**2/3 - 436*i/3 + 220/3 = 0. -55, -2, 1, 2 Determine x, given that -x**4 - 154*x**3 - 6081*x**2 - 11704*x - 5776 = 0. -76, -1 Determine j so that -3*j**4/5 - 33*j**3/5 - 108*j**2/5 - 48*j/5 + 192/5 = 0. -4, 1 Factor 6*p**2 - 2*p - 20. 2*(p - 2)*(3*p + 5) Factor -5*d**4 - 855*d**3 - 36975*d**2 - 36125*d. -5*d*(d + 1)*(d + 85)**2 What is w in w**2/3 - 43*w/3 + 52 = 0? 4, 39 Let -24*n**5 - 884*n**4 - 7484*n**3 - 19368*n**2 - 14032*n + 2912 = 0. Calculate n. -26, -7, -2, 1/6 Factor 32*k**2/9 - 58384*k/9 + 26630402/9. 2*(4*k - 3649)**2/9 Factor 2*r**2 - 56*r + 54. 2*(r - 27)*(r - 1) Solve t**5/3 - t**4 + t**3/3 + t**2 - 2*t/3 = 0. -1, 0, 1, 2 Let k**3/4 + 9669*k**2/4 + 31163187*k/4 + 33479650567/4 = 0. What is k? -3223 Find u such that -3*u**5/5 - 3*u**4/5 + 84*u**3/5 - 96*u**2/5 - 288*u/5 + 432/5 = 0. -6, -2, 2, 3 Factor 3*r**4 + 312*r**3/5 - 63*r**2/5. 3*r**2*(r + 21)*(5*r - 1)/5 What is d in -8*d**5/11 - 74*d**4/11 - 234*d**3/11 - 270*d**2/11 - 54*d/11 = 0? -3, -1/4, 0 Factor 14*t**5 + 38*t**4 - 12*t**3. 2*t**3*(t + 3)*(7*t - 2) Factor 2*g**3/3 + 34*g**2/15 - 88*g/15 - 8/3. 2*(g - 2)*(g + 5)*(5*g + 2)/15 Find b such that 4*b**5 + 4*b**4 - 56*b**3 - 24*b**2 + 180*b - 108 = 0. -3, 1, 3 Determine j, given that 2*j**3/7 - 30*j**2/7 + 96*j/7 - 88/7 = 0. 2, 11 Find d, given that -2*d**2 + 74*d/3 - 88/3 = 0. 4/3, 11 Factor 2*p**3/5 - 18*p**2/5 + 8*p. 2*p*(p - 5)*(p - 4)/5 Let u**3/2 + 71*u**2 + 281*u/2 + 70 = 0. What is u? -140, -1 Factor 3*a**2 + 57*a. 3*a*(a + 19) Determine u, given that -4*u**4 - 80*u**3 + 264*u**2 - 272*u + 92 = 0. -23, 1 Factor -2*g**2/5 - 58*g/5. -2*g*(g + 29)/5 Solve -5*i**4 + 8*i**3 + 15*i**2/4 - 29*i/4 + 2 = 0 for i. -1, 1/2, 8/5 Find a such that 5*a**4/2 - 65*a**2/2 + 30*a = 0. -4, 0, 1, 3 Factor 2*q**4 + 18*q**3 + 36*q**2. 2*q**2*(q + 3)*(q + 6) Let -18*o**4 + 26*o**3 + 452*o**2 + 240*o = 0. What is o? -4, -5/9, 0, 6 Factor 2*m**4 - 20*m**3 - 22*m**2. 2*m**2*(m - 11)*(m + 1) Factor 4*p**4 + 172*p**3 + 1320*p**2. 4*p**2*(p + 10)*(p + 33) Factor -5*q**5/6 + 2000*q**4/3 - 132665*q**3 - 802000*q**2/3 - 804005*q/6. -5*q*(q - 401)**2*(q + 1)**2/6 Suppose -10*w**5/3 - 98*w**4/3 - 456*w**3/5 - 1472*w**2/15 - 128*w/3 - 32/5 = 0. What is w? -6, -2, -1, -2/5 What is x in x**2/8 + 27*x = 0? -216, 0 Find w such that 5*w**4/4 - 37*w**3 + 775*w**2/4 - 89*w - 69 = 0. -2/5, 1, 6, 23 Factor 2*m**3 + 160*m**2 + 3200*m. 2*m*(m + 40)**2 Factor -12*a**3 - 9*a**2 + 3*a. -3*a*(a + 1)*(4*a - 1) Factor 4*d**3 - 200*d**2 - 1084*d - 880. 4*(d - 55)*(d + 1)*(d + 4) Solve -5*a**5 + 81*a**4 - 481*a**3 + 1263*a**2 - 1314*a + 216 = 0. 1/5, 3, 4, 6 Let -11*t**2/2 - 12*t - 2 = 0. What is t? -2, -2/11 Suppose u**2/6 - 131*u/3 + 87/2 = 0. What is u? 1, 261 Solve 49*q**4 - 2051*q**3/9 - 790*q**2/9 + 92*q/9 + 40/9 = 0 for q. -2/7, 2/9, 5 Factor -j**2/2 + 3*j - 4. -(j - 4)*(j - 2)/2 Factor 16*r**2/5 + 172*r/5. 4*r*(4*r + 43)/5 Find a, given that a**2/3 + 178*a/3 + 59 = 0. -177, -1 Factor -j**2/2 - 833*j/4 + 627/2. -(j + 418)*(2*j - 3)/4 Solve 2*h**3/15 - 4*h**2/5 - 6*h/5 + 28/15 = 0 for h. -2, 1, 7 Solve -g**3/3 + 37*g**2/3 + g/3 - 37/3 = 0. -1, 1, 37 Solve 125*w**5 + 16850*w**4 + 574545*w**3 + 451580*w**2 + 89780*w = 0. -67, -2/5, 0 Let -3*j**5 - 15*j**4 + 120*j**2 + 240*j + 144 = 0. What is j? -2, 3 Let 3*o**5 + 21*o**4 + 24*o**3 - 48*o**2 = 0. Calculate o. -4, 0, 1 Factor -4*m**4 + 4*m**3 + 72*m**2 - 208*m + 160. -4*(m - 2)**3*(m + 5) Solve -15*u**5 + 475*u**4 - 1615*u**3 + 2145*u**2 - 1270*u + 280 = 0. 2/3, 1, 28 Solve 722*m**2 + 4*m = 0 for m. -2/361, 0 Determine w so that w**2/10 - 71*w/10 = 0. 0, 71 Factor 4*j**3 + 5896*j**2 - 11804*j + 5904. 4*(j - 1)**2*(j + 1476) Factor -35*d**3/2 + 209*d**2/2 - 169*d/2 - 5/2. -(d - 5)*(d - 1)*(35*d + 1)/2 Find t, given that 2*t**3/13 - 38*t**2/13 + 120*t/13 = 0. 0, 4, 15 Factor 2*b**3/15 - 28*b**2/15 + 26*b/15. 2*b*(b - 13)*(b - 1)/15 Determine r, given that 3*r**2 - 75*r = 0. 0, 25 Determine k, given that -k**3/4 - 23*k**2/4 + k + 23 = 0. -23, -2, 2 Factor -3*x**2 + 654*x + 657. -3*(x - 219)*(x + 1) Factor k**3 + 6*k
{ "pile_set_name": "DM Mathematics" }
z + 282. Suppose 7*p - z + 30 = 0. Suppose k + 52 = 2*u + 3*k, 0 = u - k - p. List the prime factors of u. 31 Let u be 1/2*(1 - -1). Let z(p) = -40*p**2 - 2. Let j(o) = -41*o**2 - 3. Let c(i) = 2*j(i) - 3*z(i). List the prime factors of c(u). 2, 19 Let b be (-10)/(-45) - (-14)/18. Let q(z) = -z**2 + z. Let k be q(b). What are the prime factors of 2 - 0 - k - -36? 2, 19 Suppose -153 = 2*a - 5*z, 2*z = 5*a - 2*a + 235. Let h = -44 - a. List the prime factors of h. 5, 7 Let p(y) = -2 + 5 - 6 - 2*y. Suppose -10 = 3*v + 2. What are the prime factors of p(v)? 5 Let u(v) = -3*v + 30. Let c be u(6). Let h(r) be the second derivative of r**5/20 - r**4 + r**3/3 - 13*r**2/2 + r. List the prime factors of h(c). 11 Let v(g) be the first derivative of -g**2 + 21*g - 2. Let q be v(9). Suppose 5*m - 25 = 0, -3*x + 0*x + q*m + 57 = 0. What are the prime factors of x? 2, 3 Let r(f) be the second derivative of f**4/12 + f**3/2 - 11*f**2/2 - 8*f. Let w be r(-5). What are the prime factors of w + 12 + 2 + -2? 11 Let p = -151 + 50. Let x = p - -160. List the prime factors of x. 59 What are the prime factors of (72/(-10))/(26/(-1885))? 2, 3, 29 Let y(h) = -h**2 - 14*h + 1 + 4*h - 2*h - 2. Suppose 42 = -4*a + 5*b, 0 = -4*a + 6*b - 2*b - 40. List the prime factors of y(a). 31 Let g(w) = w + 16. Let p be g(-14). Let z(j) = -2*j**2 + 17 - 40*j + p*j**2 + j**3 + 38*j. What are the prime factors of z(0)? 17 Suppose -4*l = -21 - 75. List the prime factors of -2 - 7/(-4) - (-1806)/l. 3, 5 Let n = -2 + -4. Let b be (-7 - n)/(2/(-58)). List the prime factors of b + 9/(-3) + 1. 3 Let k(n) = -n + 13. Let h be k(11). Suppose h*u + 36 - 70 = 0. What are the prime factors of u? 17 Let r = 7 - 7. Suppose r = -n - 4*n + 65. Suppose -4*q + 5*l + n + 127 = 0, 0 = -5*q + 4*l + 166. List the prime factors of q. 2, 3, 5 Let d = 17 + 7. Suppose -c - 2*a - d = 0, c - 3*a + 45 = 2*a. List the prime factors of (-20)/6*144/c. 2 Let x(d) = 4*d - 3. Let g be x(0). Let o(a) = 26*a**2 - a + 10. What are the prime factors of o(g)? 13, 19 List the prime factors of 6/1 - (-5 - 455). 2, 233 Let m(w) = -75*w**3 + w**2 - 1. Let q be m(-1). Suppose 88*r = 57*r + 93. Suppose r*i - 15 = 0, -k = -i + 5*i - q. List the prime factors of k. 5, 11 Let f(l) = 3*l**3 + 9*l**2 + 2*l + 3. Let x(z) = z**3 + z**2 + z + 1. Let t(y) = f(y) - 2*x(y). List the prime factors of t(-5). 3, 17 List the prime factors of (-1)/(-2) + (-5 - (-32043)/22). 2, 3, 11 Let x(o) = -41*o**3 - o**2 - o + 5. Let k(m) = 41*m**3 + m**2 + m - 6. Let z(t) = 4*k(t) + 5*x(t). Let b be z(1). List the prime factors of 4/(-14) + (-978)/b. 23 Suppose -9*p + 3*p = -60. What are the prime factors of (p/4 - 3)*-12? 2, 3 Let f = -129 + 132. Suppose -r - 65 = -f*n + 34, 3*n + 4*r - 84 = 0. List the prime factors of n. 2 Let j = -487 - -1065. What are the prime factors of j? 2, 17 Let k(v) = -1614*v + 7. What are the prime factors of k(-1)? 1621 Suppose 5*c + 28 = -t + 3*t, 4*c + 4 = -3*t. Suppose -28 = t*h - q, h + 5*q - 1 - 13 = 0. List the prime factors of 6 - (h/(-2) - 3). 2, 3 Let o = -42 - -40. Let q(u) = -8*u**3 - 3*u**2 - u + 2. What are the prime factors of q(o)? 2, 7 Suppose 7 + 59 = 3*v. List the prime factors of v. 2, 11 Let d = -209 - -193. Let z(j) = -j**3 + j**2 - 4. Let v be z(-3). List the prime factors of v/2 + 0/d. 2 Let f(a) = -36*a + 4. Suppose -9*g + 38 - 110 = 0. What are the prime factors of f(g)? 2, 73 Suppose 2*u = -2*u + u. List the prime factors of (1 - 0) + 3 + (u - -171). 5, 7 Let a = 46 - -177. Let w = a - 89. Suppose g + q = -4*g + w, -94 = -3*g - 4*q. List the prime factors of g. 2, 13 List the prime factors of 6/5*(692 + (-4 - -7)). 2, 3, 139 Suppose -6*g + 194 + 586 = 0. Let r = -70 + g. What are the prime factors of r? 2, 3, 5 Suppose -4*g + 5 - 13 = 0, -2*g = 5*b - 6856. List the prime factors of b. 2, 7 Let r = 66 + -59. Let h(n) = 18*n + 13. What are the prime factors of h(r)? 139 Let y(v) = 45*v + 76. What are the prime factors of y(14)? 2, 353 Suppose -5*c - 3149 = -6*c + 5*l, 2*c - 5*l = 6323. What are the prime factors of c? 2, 3, 23 Suppose -251 - 1621 = -8*y. Suppose 0*o = -2*o + y. What are the prime factors of o? 3, 13 What are the prime factors of (1260/75)/(459/(-465) + 1)? 2, 3, 7, 31 Let p(f) = f**2 - 7*f + 25. What are the prime factors of p(-13)? 3, 5, 19 Let q = -167 + 192. List the prime factors of q. 5 Let w(z) = z**3 + 7*z**2 + 7*z + 2. Let d be w(-5). Suppose 10 = 2*l, d = -h - l + 68. List the prime factors of h. 2, 23 Let u = -847 - -2338. What are the prime factors of u? 3, 7, 71 Let p(s) = -1. Let y(j) = -10*j - 12. Let u(a) = -6*p(a) + y(a). Let x be u(-3). What are the prime factors of ((-34)/3)/((-16)/x)? 17 What are the prime factors of (-43132)/(-44) + (-6)/22? 2, 5, 7 Let m(l) be the second derivative of l**4/12 - 5*l**3/3 + 5*l**2/2 + 5*l. Let v be m(9). Let s(u) = 2*u**2 + u + 7. List the prime factors of s(v). 5, 7 List the prime factors of (-1*-2*1)/(1/58). 2, 29 Let w = -4 - -6. Suppose 3*k - w*k = 3*s - 5, 0 = k - 4. Suppose -j + 4 = -s. What are the prime factors of j? 7 Suppose 5*h + 0*h = -25. Let b(q) = -q**2 - 10*q - 9. Let y be b(-6). List the prime factors of y/2*(-28)/h. 2, 3, 7 Suppose 5*s - 115 = 10*s. Let g = 80 + s. List the prime factors of g. 3, 19 Suppose 0 = -3*b - 8*b - 66. Let r(s) = 2*s**2 - s + 9. List the prime factors of r(b). 3, 29 Let o = -5 + 7. Suppose -6 + 2 = -o*c, -5*j + 2*c = -616. What are the prime factors of j? 2, 31 Suppose -15*f = 5*c - 17*f - 10208, -2032 = -c - 2*f. List the prime factors of c. 2, 3, 5, 17 Let g be (4 + -4 - 1)*-1. Let y(i) be the third derivative of 2*i**4 - 5*i**2. List the prime factors of y(g). 2, 3 What are the prime factors of 8/(-6) - (4654/(-39) + -8)? 2, 3, 7 Suppose -g + 12 = t, t = -3*g - 3*t + 32. Suppose g*s = 12*s - 28. Let d = -3 - s. What are the prime factors of d? 2 What are the prime factors of 5/10*6 + -2 + 1877? 2, 3, 313 Let g be ((-1)/(-3))/(9/162). Suppose g*q + 765 = q. List the prime factors of (-4302)/q - 2/17. 2, 7 Let j(v) = 7*v + 7. Let p be j(-7). Let q be 6/((p/8)/(-7)). Suppose 0*z - q = 4*z, 3*z = -3*y + 39. List the prime factors of y. 3, 5 Suppose 0 = -4*a - t + 478, 3*a - 435 = 5*t - 88. List the prime factors of a. 7, 17 Suppose 2*x = -q - 2*q + 5507, -13781 = -5*x - 3*q. What are the prime factors of x? 2, 7, 197 Suppose -4 - 14 = 3*m. Let x be ((-117)/26)/(m/8). Suppose -222 = -4*d - x. What are the prime factors of d? 2, 3 Suppose 0*j + 266 = 2*j. Let i = -80 + j. List the prime factors of i. 53 Suppose 20655 = 10*b - 7025. What are the prime factors of b? 2, 173 Suppose 0 = y + 5*d + 4, 2*y + 32 = y + 2*d. Let s = y - -77. What are the prime factors of s? 53 Let k = -702 - -3147. What are the prime factors of k? 3, 5, 163 Let d(n) = n - 1. Let j(r) = 4*r - 3. Let i(a) = 3*d(a) - j(a). Let x be i(-9). Suppose 2*o - 9 = x. List the prime factors of o. 3 Suppose -4793 = 20*x - 15093. List the prime factors of x. 5, 103 Let d = 2 + 1. Suppose -d*q = -5*t + 11 - 48, 5*q + 4*t = 0. Let o(z) = z**3 - 3*z**2 + 3*z - 1. What are the prime factors of o(q)? 3 Let v be 14/4 + 2/(-4). Suppose -37 = -j + 4*b, v*j - 4*b - 97 + 10 = 0. List the prime factors of ((-20)/j)/((-2)/80). 2 Let b(v) be the second derivative of v**6/180 - v**5/120 - 5*v**4/24 + v**3/2 - 3*v. Let h(f) be the second derivative of b(f). List the prime factors of h(4). 23 Suppose -18 - 82 = 2*h. Let j = -21 - h. What are the prime factors of j? 29 Let p = -346 - -375. List the prime factors of p. 29 Let r(t) = 9*t**2 - 3*t + 6. Suppose 8*m - 14 = 18. What are the prime factors of r(m)? 2, 3, 23 Let v = -218 + 317. Suppose -4*k + 132 = 5*h - h, -3*h = -5*k - v. What are the prime factors of h? 3, 11 Let l(a) = 0*a - 36*a + 9*a - 6. Suppose -30 = 5*r - 0*s - 5*s, -3*r - 4*s = -10. List the prime factors of l(r). 2, 3 Let g be (-1 + 0 - 0)/((-24)/(-24)). List the prime factors of 811/5 + (-8)/(-10) + g. 2, 3 Let g be (3/(-5))/((-406)/135 + 3). List the prime factors of g - (-3 + -15*(-2)/6). 79 Let o(y) = -y**3 + 35*y**2 - 35*y + 22. Let l be o(34). Suppose 4*r + 2*u = -46 + 8, 2*r + 16 = -4*u. Let n = r - l. What are the prime factors of n? 2 Let a(o) = -32*o**3 - 5*o**2 + 3*o + 15. List the prime factors of a(-4). 3, 73 Let m(
{ "pile_set_name": "DM Mathematics" }
rt -3, 0.04, 2, 0.1. -3, 0.04, 0.1, 2 Put 2, 365, -1, -4, -2 in ascending order. -4, -2, -1, 2, 365 Put 4, 8, 3, 2 in decreasing order. 8, 4, 3, 2 Put 0.5, -1.4, 3, 61 in increasing order. -1.4, 0.5, 3, 61 Put -0.4, 5.9, 0 in descending order. 5.9, 0, -0.4 Put 0.37, 2/43, 2/9, 5 in increasing order. 2/43, 2/9, 0.37, 5 Put 8, -2/13, 1, 2/5 in decreasing order. 8, 1, 2/5, -2/13 Put 6, 0, -3/5, 1/77 in decreasing order. 6, 1/77, 0, -3/5 Put -1, 3, 0, -99 in decreasing order. 3, 0, -1, -99 Put 0.5, -0.4, -32, -5 in ascending order. -32, -5, -0.4, 0.5 Put 6, 5, -9, -2, -5 in ascending order. -9, -5, -2, 5, 6 Put -4, -2, -6, -3 in decreasing order. -2, -3, -4, -6 Put 0.1, 5/6, -11, 4 in descending order. 4, 5/6, 0.1, -11 Sort 0, -4, -5, -1, 197 in decreasing order. 197, 0, -1, -4, -5 Sort 5, 2, 0, -4, -52 in descending order. 5, 2, 0, -4, -52 Sort -5, -4, -3, -31 in descending order. -3, -4, -5, -31 Sort 4, -2.8, 3, -0.1. -2.8, -0.1, 3, 4 Sort 20, 2/19, 2/75 in descending order. 20, 2/19, 2/75 Sort 3/4, 1, -0.11, -1/6 in decreasing order. 1, 3/4, -0.11, -1/6 Put -1.89, 11, 3, 0.4 in ascending order. -1.89, 0.4, 3, 11 Sort 3, 7, -0.4, -4 in decreasing order. 7, 3, -0.4, -4 Sort 21, -8, -19 in ascending order. -19, -8, 21 Put 4, -1, 5, -62, 2 in increasing order. -62, -1, 2, 4, 5 Sort -5, -2/29, -0.1, -4. -5, -4, -0.1, -2/29 Sort 0.0443, 5, -0.4, -0.2 in ascending order. -0.4, -0.2, 0.0443, 5 Sort 5, 2/5, -523, 3/2 in increasing order. -523, 2/5, 3/2, 5 Sort 13, -2, 0, 3 in increasing order. -2, 0, 3, 13 Put 5, -1, 9, -5 in decreasing order. 9, 5, -1, -5 Put 78, -13, -1, -3 in ascending order. -13, -3, -1, 78 Put -2, 3, -526, 2 in descending order. 3, 2, -2, -526 Sort 8, 2, 5, -29, 3. -29, 2, 3, 5, 8 Sort 19, -1, -29, 2 in ascending order. -29, -1, 2, 19 Put -23, -2, 1, 4, -3 in decreasing order. 4, 1, -2, -3, -23 Sort -1/2, -0.4, -60 in ascending order. -60, -1/2, -0.4 Sort -4, 3, -1/26. -4, -1/26, 3 Sort -4, -61, 6 in increasing order. -61, -4, 6 Sort -16, -7, 5, -3. -16, -7, -3, 5 Put 1, 46, 4, 6, -1 in increasing order. -1, 1, 4, 6, 46 Put -4, 4, -3, 5, 35 in descending order. 35, 5, 4, -3, -4 Put 0.4, -0.3, 1/6, 0.56 in descending order. 0.56, 0.4, 1/6, -0.3 Sort -23, 1/4, -0.5, -5 in decreasing order. 1/4, -0.5, -5, -23 Sort -127, -1, 1 in increasing order. -127, -1, 1 Sort -1, -3, 1, 4 in increasing order. -3, -1, 1, 4 Sort -3, 5, -335, 1 in increasing order. -335, -3, 1, 5 Put 3/2, 2, -87/8 in ascending order. -87/8, 3/2, 2 Put 3, 5, -1/11 in ascending order. -1/11, 3, 5 Put 4, -2, 7, 9 in descending order. 9, 7, 4, -2 Put 3/5, 5/3, 9, 7, 1.2 in increasing order. 3/5, 1.2, 5/3, 7, 9 Sort -2, -6, -176, 2. -176, -6, -2, 2 Sort 2, -3, 0 in decreasing order. 2, 0, -3 Put -6/7, 0.2, 1/10, -2/7, 1 in increasing order. -6/7, -2/7, 1/10, 0.2, 1 Put 0.4, -6/31, 7/4 in decreasing order. 7/4, 0.4, -6/31 Sort 92, -3, 4, -2 in descending order. 92, 4, -2, -3 Put -5, 1, 0, -28, 2 in descending order. 2, 1, 0, -5, -28 Sort 0.4, 1/2, 43, 1 in decreasing order. 43, 1, 1/2, 0.4 Put 0, 4, 3, 6, -17 in decreasing order. 6, 4, 3, 0, -17 Put -1, -8, -47, -5 in increasing order. -47, -8, -5, -1 Sort -2/3, 5, -1/6 in descending order. 5, -1/6, -2/3 Sort -0.5, -11, -1/5. -11, -0.5, -1/5 Sort 11, 4, -4, 0 in decreasing order. 11, 4, 0, -4 Sort -323/10, -4, 3/8, -2. -323/10, -4, -2, 3/8 Sort 4, 7, 2, -21. -21, 2, 4, 7 Sort 2, -15, -6, -1, 66. -15, -6, -1, 2, 66 Sort -4, -20, 2, 3 in increasing order. -20, -4, 2, 3 Sort 802, -3, 2 in decreasing order. 802, 2, -3 Put -0.1, 5, -442, -2, -15 in decreasing order. 5, -0.1, -2, -15, -442 Sort -2, -4, -3, 2. -4, -3, -2, 2 Sort -2, 2, -0.039, -0.4 in decreasing order. 2, -0.039, -0.4, -2 Put 2, 0, 5, 4 in descending order. 5, 4, 2, 0 Sort -1, 55, -2 in ascending order. -2, -1, 55 Sort -0.1, -3, 0.14, 3/8. -3, -0.1, 0.14, 3/8 Sort -3, 2/11, 14, -0.2 in descending order. 14, 2/11, -0.2, -3 Sort 6/11, -0.51, 1/9, 5 in decreasing order. 5, 6/11, 1/9, -0.51 Sort -2, -46, 4, -3 in ascending order. -46, -3, -2, 4 Sort 0, -1, 17, -7, -5 in descending order. 17, 0, -1, -5, -7 Sort 0, 0.2, 3.55, 5 in decreasing order. 5, 3.55, 0.2, 0 Put 1, -144, 7 in decreasing order. 7, 1, -144 Put 11, 4, -7, -2 in increasing order. -7, -2, 4, 11 Sort -85, -1, 4, -3, -4 in descending order. 4, -1, -3, -4, -85 Sort 0.2, 0.14, 3/2, 5 in descending order. 5, 3/2, 0.2, 0.14 Sort -5, 0, -12, -1 in decreasing order. 0, -1, -5, -12 Put -1, 4, 0.212, -3, -0.5 in descending order. 4, 0.212, -0.5, -1, -3 Sort 4, -8, 38. -8, 4, 38 Sort -4, -5, 1, 2. -5, -4, 1, 2 Put -4, -5, -3, -83 in increasing order. -83, -5, -4, -3 Sort -0.3, 4, 3, -8, -5. -8, -5, -0.3, 3, 4 Sort -11, -4, 3, -5 in increasing order. -11, -5, -4, 3 Sort -91, 0, 7, -6 in decreasing order. 7, 0, -6, -91 Put 31, -67, -2 in ascending order. -67, -2, 31 Put 0, -5, -3, 23 in increasing order. -5, -3, 0, 23 Sort 0, 22, 2, -1. -1, 0, 2, 22 Put 0, -1, -1/8, 143, -4 in descending order. 143, 0, -1/8, -1, -4 Sort -2199, 4, 2 in increasing order. -2199, 2, 4 Sort -1, -18, 1, 0, -8 in ascending order. -18, -8, -1, 0, 1 Sort -5, -9, 3 in decreasing order. 3, -5, -9 Put 0.01, 3/4, 14 in increasing order. 0.01, 3/4, 14 Put 2, 3, 1, 10, -22 in decreasing order. 10, 3, 2, 1, -22 Put -154, -1, 2, -5 in increasing order. -154, -5, -1, 2 Put -1, 3, 2 in descending order. 3, 2, -1 Put 4, -3/2, 4/15, -6 in increasing order. -6, -3/2, 4/15, 4 Put -6, 8, -4 in decreasing order. 8, -4, -6 Sort -3, 7.3, 2, 0, -2. -3, -2, 0, 2, 7.3 Put -0.4, 1, 0.07, 0.5 in descending order. 1, 0.5, 0.07, -0.4 Sort -0.07, 0, -1.9, 0.5. -1.9, -0.07, 0, 0.5 Put -1, 20, 5 in descending order. 20, 5, -1 Put -2/3, -1/3, -0.0071 in descending order. -0.0071, -1/3, -2/3 Put -0.09, -0.2, 0.04 in ascending order. -0.2, -0.09, 0.04 Sort -5, 2, -3, 0 in ascending order. -5, -3, 0, 2 Sort 3, -1, -3, 2 in decreasing order. 3, 2, -1, -3 Sort -18, -5, 2, -1. -18, -5, -1, 2 Put -2/5, -5/2, 2/25, -30 in increasing order. -30, -5/2, -2/5, 2/25 Put -1/4, -4, 5, 0.8, -6/17 in descending order. 5, 0.8, -1/4, -6/17, -4 Put -2/11, 3/5, -4, 2/5, 7/6 in descending order. 7/6, 3/5, 2/5, -2/11, -4 Sort -3, -1/9, -0.31 in decreasing order. -1/9, -0.31, -3 Put 5, -2, 1, -1, -482 in ascending order. -482, -2, -1, 1, 5 Sort 11, -5/4, -23 in decreasing order. 11, -5/4, -23 Sort 2, 3, -20, -4. -20, -4, 2, 3 Sort -1, -21, 42 in descending order. 42, -1, -21 Put -1, 3, 0.7, 0.2 in decreasing order. 3, 0.7, 0.2, -1 Sort -256, 0.1, 0, -2. -256, -2, 0, 0.1 Sort 48, 20, 4, -2, 0 in decreasing order. 48, 20, 4, 0, -2 Put 0.048, 0.2, 2, -0.1, -5 in decreasing order. 2, 0.2, 0.048, -0.1, -5 Sort -0.5, -1.53, -12, 0.3 in increasing order. -12, -1.53, -0.5, 0.3 Sort -16, 3, -5, 91 in increasing order. -16, -5, 3, 91 Put 11.4, -6, 5 in descending order. 11.4, 5, -6 Put -1/5, -2.8, -9.8 in descending order. -1/5, -2.8, -9.8 Sort -0.1, 5/4, 0. -0.1, 0, 5/4 Sort -1/2, 1, 4/5, 0.025 in increasing order. -1/2, 0.025, 4/5, 1 Sort 1/2, 2/3, 814/7, -0.4 in descending order. 814/7, 2/3, 1/2, -0.4 Sort -3, -0.2, 2, -1/15, 0.3 in increasing order. -3, -0.2, -1/15, 0.3, 2 Sort 1, 9, -5 in increasing order. -5, 1, 9 Sort 1, 3, -3, -0.07 in decreasing order. 3, 1, -0.07, -3 Sort -15, -99, -1 in descending order. -1, -15, -99 Sort 1, 0, -4, 5, -19 in ascending order. -19, -4, 0, 1, 5 Put -2, -16, 4, 0.04, 11 in descending order. 11, 4, 0.04, -2, -16 Sort 42, 9/4, -0.2 in descending order. 42, 9/4, -0.2 Sort 3, 2, 4, 15 in decreasing order. 15, 4, 3, 2 Sort -0.4, -3, -0.5, 18. -3, -0.5, -0.4, 18 Sort -0.091, -1/4, 2 in descending order. 2, -0.091, -1/4 Sort -12, 0, -5, -9. -12, -9, -5, 0 Sort 3, -5, 1, 44 in decreasing order. 44, 3, 1, -5 Sort -1, -56, -5, 0 in increasing order. -56, -5, -1, 0 Sort 3, 2, -1118, -3. -1118, -3, 2, 3 Put -2, -6, -1, 1 in decreasing order. 1, -1, -2, -6 Sort -1/2, 11/2, 1, -0.4 in decreasing order. 11/2, 1, -0.4, -1/2 Sort 8, 2, -1, 5, -0.01 in descending order. 8, 5, 2, -0.01, -1 Put -5/3, -2, -34/11, -5 in descending order. -5/3, -2, -34/11, -5 Put -1, -2, -68 in ascending order. -68, -2, -1 Sort -20, -2, 1, 7. -20, -2, 1, 7 Put 0.3, 2/73, -3, -1/4 in ascending order. -3, -1/4, 2/73, 0.3 Sort 1/7, -55, -1, -5. -55, -5, -1, 1/7 Put -12, 0, -14 in decreasing order.
{ "pile_set_name": "DM Mathematics" }
76*f + 245*f. Let h(u) = -11*u + 9*u - 4 + 4. Determine p(h(k)). -768*k Let s(j) = 7*j. Let v(z) = 106548379*z. Calculate s(v(p)). 745838653*p Let x(h) be the first derivative of -10*h**3/3 - 6109. Let f(m) be the second derivative of m**3/3 - m. Give x(f(z)). -40*z**2 Let n(o) = 6*o**2 + 5*o**2 - 4*o**2. Let s(x) = -70027 + 140051 + 7*x - 70024. Give n(s(u)). 343*u**2 Let m(r) = -53*r**2 + 5*r + 6. Let x(c) = 10*c**2 - c - 2. Let w(l) = m(l) + 5*x(l). Let t(o) = 53*o**2. Calculate t(w(n)). 477*n**4 + 1272*n**2 + 848 Let b(o) be the second derivative of 0*o**2 + 0 + 2*o + 1/6*o**3. Let s(y) = -21*y**2. Let q(m) = m**2. Let z(v) = 22*q(v) + 2*s(v). What is b(z(r))? -20*r**2 Let t(b) be the third derivative of b**7/105 - 3*b**4/4 - b**3/6 + 2*b**2 - 1. Let p(a) be the second derivative of t(a). Let o(h) = -h**2. Calculate p(o(x)). 24*x**4 Let v(n) be the second derivative of 102 - 2*n + 0*n**2 - 265/6*n**3. Let a(g) = -2*g**2. Determine a(v(u)). -140450*u**2 Let x(s) = -4*s**2. Let z = -29 - -39. Suppose -u + 8 = -z. Let j(l) = -u*l**2 - 3 + 22*l**2 + 3. What is j(x(o))? 64*o**4 Let f(l) be the third derivative of -1091*l**5/60 - l**3/3 + 944*l**2. Let q(z) = -2*z**2. Calculate q(f(o)). -2380562*o**4 - 8728*o**2 - 8 Let z(m) = -317*m**2 - m. Let p(c) = 6*c + 14. Let n(v) = v**2 - 9*v - 21. Let u(k) = -2*n(k) - 3*p(k). Calculate z(u(f)). -1268*f**4 + 2*f**2 Let j(w) = 2*w + 58. Let z(x) be the first derivative of 2*x**2 - 2628. Calculate z(j(t)). 8*t + 232 Let w = -162 - -268. Let l(c) = -164*c + w*c + 99*c + 47*c. Let n(r) = -r. Determine n(l(a)). -88*a Let x(l) be the first derivative of -l**2/2 + 43. Let p(i) = -36 - 7*i + 0*i + 33 + 11*i. Determine x(p(m)). -4*m + 3 Let d(l) = -8*l. Let c(n) = 5308627*n - 8. Give c(d(m)). -42469016*m - 8 Let v(q) = -3*q. Let d(o) = -15650133*o**2. Give v(d(u)). 46950399*u**2 Let p(n) = -36*n + 56. Let v(t) = -32*t**2 + 9*t + 9. Let s(i) = 50*i**2 - 14*i - 14. Let m(h) = -9*s(h) - 14*v(h). Give m(p(d)). -2592*d**2 + 8064*d - 6272 Let z(p) = 19*p**2 + 12*p - 3. Let h(j) = -172*j**2 + 2. Calculate z(h(t)). 562096*t**4 - 15136*t**2 + 97 Let c(y) = 7*y**2 - 3. Let a(j) be the third derivative of j**6/720 - j**4/2 - 2*j**2 + 32. Let u(b) be the second derivative of a(b). What is u(c(i))? 7*i**2 - 3 Let q(l) be the first derivative of 32*l**3/3 + 3*l**2 - 54. Let d(w) = 38*w**2 + 5*w. Let x(p) = 4*d(p) - 3*q(p). Let c(f) = -2*f. Determine x(c(k)). 224*k**2 - 4*k Let g(i) = 5*i. Let x(j) = -1252284*j**2. What is g(x(m))? -6261420*m**2 Let m(b) = -2*b. Let v(n) = 1154*n + 75. Let o(l) = -6925*l - 438. Let p(r) = 6*o(r) + 35*v(r). Determine m(p(a)). 2320*a + 6 Let n(l) be the first derivative of -2*l**3/3 + 142*l - 358. Let o(b) = -b**2. What is o(n(k))? -4*k**4 + 568*k**2 - 20164 Let d(m) = -2*m. Let j(y) be the first derivative of 0*y + 0*y**3 - 6*y**2 - 13/24*y**4 + 23. Let v(s) be the second derivative of j(s). Calculate v(d(w)). 26*w Let z(p) = p. Let w(a) = -2*a**2 + 27058952. What is z(w(s))? -2*s**2 + 27058952 Let r(h) = 13*h**2 + 2*h. Let u(x) be the third derivative of -x**4/6 + 1607*x**2. Give r(u(v)). 208*v**2 - 8*v Let a(z) = -1121*z + z**2 + 2279*z - 3*z**2 - 1158*z. Let g(t) = 14922*t. Give a(g(f)). -445332168*f**2 Let m(j) be the second derivative of j**4/12 - 4*j**3 - 2685*j. Let b(h) = -28*h. What is b(m(f))? -28*f**2 + 672*f Let j(n) be the first derivative of 0*n + 57 + 1/2*n**2. Let q(p) = 12*p**2 - 10*p. Determine j(q(y)). 12*y**2 - 10*y Let x(p) = 36780370*p + 2. Let s(y) = 2*y. Calculate x(s(b)). 73560740*b + 2 Let o(s) = -48*s**2 - 124*s**2 - 62*s**2. Let z(r) be the second derivative of r**3/6 - 90328*r. What is z(o(k))? -234*k**2 Let c(r) be the first derivative of -r**4/4 + 17*r**3/3 + 4*r - 2. Let k be c(17). Let u(o) = -10 + 10 - k*o + 2*o. Let l(w) = -2*w**2. Determine l(u(s)). -8*s**2 Let u(a) = -616314*a**2. Let s(r) = -16*r**2. What is s(u(l))? -6077487145536*l**4 Let r(u) be the first derivative of -180 + 0*u - 1/2*u**2. Let m(c) = 3 + 5 + 4*c - 5. Calculate r(m(s)). -4*s - 3 Let h = -100 + 238. Let v = h + -128. Let f(q) = -10 + v + 0 - q**2. Let y(d) = -12*d**2. Give y(f(u)). -12*u**4 Let t(q) = 2*q. Let k be (2 - 4) + 10 + -10 + 2. Let s(p) be the second derivative of 0 + 10/3*p**3 + k*p**2 + 10*p. Give t(s(r)). 40*r Let t(l) = 96*l**2. Let b(q) = 28*q + 29*q - 7*q - 54*q. What is t(b(r))? 1536*r**2 Let j(q) = 8*q**2. Suppose -x = -5*f - 0*x + 149, 4*f - x = 119. Let n(c) = c + f*c**2 + c**2 - 9*c**2 - c. Give n(j(z)). 1408*z**4 Let c(o) = -2*o**2. Let n(i) = 94*i**2 + 7. Let u = 22 + -15. Let h(x) = 48*x**2 + 4. Let m(k) = u*h(k) - 4*n(k). Determine m(c(t)). -160*t**4 Let g(u) = 4*u**2. Let s(z) be the third derivative of -845*z**4/24 + 3*z**2 - 16*z + 2. Give g(s(y)). 2856100*y**2 Let n(c) be the first derivative of -61*c**3 - 1015. Let y(f) = -2*f**2. Give n(y(k)). -732*k**4 Let o(d) = -1509*d**2 - 2*d. Let x(c) = -4*c**2 + 10*c. Let h(k) = k**2 - 2*k. Let i(v) = -5*h(v) - x(v). What is o(i(p))? -1509*p**4 + 2*p**2 Let t(b) = -3*b**2. Let u be ((-122)/(-915))/(2/30). Let q(a) = -u + 414*a - 842*a + 2 + 401*a. Determine q(t(z)). 81*z**2 Let j(v) = -86501456 + 86501456 + 0*v - 2*v. Let q(c) = 34*c**2 + 4*c. Give j(q(i)). -68*i**2 - 8*i Let z(s) = 57*s**2 + 2*s. Let p(m) = 152 - 452 + 4*m + 151 + 149. Calculate p(z(w)). 228*w**2 + 8*w Let c(n) = 429993*n**2 - 859989*n**2 + 429998*n**2. Let w(o) = 6*o + 231. Calculate w(c(t)). 12*t**2 + 231 Let p(h) = -5*h + 6. Let y(i) = -i. Let c(o) = p(o) + 2*y(o). Let v be (-2 - 2)*10*(-10)/16. Let x(t) = -15 + v + t - 10. Calculate x(c(n)). -7*n + 6 Let i(u) = 748*u**2. Let l(s) be the third derivative of s**5/30 - 2210*s**2. Give i(l(d)). 2992*d**4 Let r(o) = o**2 + 5*o - 5. Let y(b) = -25*b**2 + 16*b**2 + 8*b**2 - 4*b + 4. Let w(u) = -4*r(u) - 5*y(u). Let f(l) = 2*l - 18*l - 2*l. Give w(f(p)). 324*p**2 Let r(u) be the third derivative of 7*u**4/24 - 406*u**2. Let v(k) = -29*k - 11 - 16 + 27. Determine v(r(h)). -203*h Let d(x) = 1799*x**2. Let n(k) = -3808*k**2. Determine n(d(p)). -12324215008*p**4 Let n(b) = b - b - 108242*b**2 + 54120*b**2 + 54131*b**2. Let a(c) = 3*c**2 + 13. Give a(n(r)). 243*r**4 + 13 Let y(l) = 72*l - 132*l + 12*l. Let r(f) = 72*f**2 + f. Give r(y(s)). 165888*s**2 - 48*s Let x(d) = 2*d. Let s(l) = 3 - 2911*l**2 - 3 + 1586*l**2 + 1559*l**2. Give x(s(g)). 468*g**2 Let f(d) = -246*d**2. Let u(p) be the second derivative of -p**4/2 + 219*p. Determine f(u(o)). -8856*o**4 Let d(h) = -2*h**2. Let c(q) = -3913920*q. Give c(d(j)). 7827840*j**2 Let i(k) = 139*k + 19. Let l(v) = 22*v + 3. Let p(c) = -6*i(c) + 38*l(c). Let n(m) = -m**2 + 41. Calculate n(p(r)). -4*r**2 + 41 Let s(g) = g**2 + 2715*g. Let v(j) = -2*j + 39. What is s(v(n))? 4*n**2 - 5586*n + 107406 Let n(w) = -53*w + 54. Let r(y) = -900*y + 900. Let j(g) = -50*n(g) + 3*r(g). Let f(t) = 8*t. What is f(j(v))? -400*v Let x(f) be the third derivative of -f**5/120 + 299*f**3/6 - 88*f**2 + 1. Let i(p) be the first derivative of x(p). Let t(z) = -10*z - z - 5*z. Give i(t(s)). 16*s Let i(m) = 11*m + 7*m - 18*m + m**2. Let y(g) = -30*g. Let o(t) = 74*t. Let x(k) = -3*o(k) - 7*y(k). Determine i(x(p)). 144*p**2 Let c(k) = -6*k**2. Let l(m) = 37*m**2 + 87947. Calculate l(c(d)). 1332*d**4 + 87947 Let c(p) = 6*p**2 + 11*p. Let j(u) = -8244*u. Determine c(j(q)). 407781216*q**2 - 90684*q Let a(l) be the third derivative of 69*l**5/20 - 31*l**2 + 36*l. Let y(b) = 15*b. Calculate y(a(j)). 3105*j**2 Let s(v) = -23*v - 5. Let c(a) = -65*a - 10. Let o(y) = -c(y) + 2*s(y). Let j(l) = 7*l - 4. Calculate o(j(n)). 133*n - 76 Let w(o) = 20*o**2. Let j(y) = y**2 - 4. Suppose 22 - 94 = -8*l. Let m(v) = -2*v**2 + 9. Let u(g) = l*j(g) + 4*m(g). Give w(u(d)). 20*d**4 Let h(c) be the first derivative of c**2/2 + 3110. Let r(b) = -3*b**2 + b + 325. Give h(r(l)). -3*l**2 + l + 325 Let x(s) = -5*s**2. Let q(j) be the second derivative of -1/12*j**4 - 60*j + 0*j**2 + 0*j**3 + 0. Determine x(q(f)). -5*f**4 Let d(p) = -2*p. Let a(y) = 143*y + 56. Let i(v) = 228*v + 90. Let s(r) = 21*a(r) - 13*i(r). Give s(d(c)). -78*c + 6 Let t be (-2)/9 - ((-6080)/90)/16. Let s(d) = 8*d + 8 + t - 9 - 2. Let j(u) = -u**2 + 0*u**2 + 2*u**2. Give j(s(n)). 64*n**2 + 16*n + 1 Let d = -89 - -96. Let z(j) = 9*j - d*j - 16*j.
{ "pile_set_name": "DM Mathematics" }
0.5, 2/13, 6/11, 449, -1, -4? 449 Which is the third biggest value? (a) 2 (b) -6 (c) -15384 (d) -0.3 (e) -1410 b Which is the second biggest value? (a) -656 (b) -4 (c) 81 (d) 11 d What is the second smallest value in -23/15, -4/3, 0.27522? -4/3 Which is the fourth smallest value? (a) -1/10 (b) -237 (c) 0.5 (d) 6.64 d Which is the fifth biggest value? (a) -41 (b) 3 (c) 11.9 (d) -0.14 (e) 5 (f) -4 (g) 12 d Which is the second smallest value? (a) 0.1 (b) 5 (c) 0.2 (d) 42430 (e) -3 (f) 0.22 a What is the second smallest value in -3/232, -1.7, -10/7? -10/7 Which is the second smallest value? (a) -5 (b) 2 (c) -221 (d) -0.4 (e) -3 (f) -261 c What is the fourth smallest value in -2/27, 2/3, 1.3, 6, -182, -0.3? 2/3 Which is the third biggest value? (a) 1.3 (b) 2 (c) -5/6 (d) 17 (e) -30 a Which is the fourth smallest value? (a) -6 (b) 1 (c) -974 (d) 1104 d What is the fourth smallest value in -123, -2/19, -5, 58, -9? -2/19 What is the smallest value in -17, 0.2, -95821? -95821 Which is the sixth smallest value? (a) 0.08 (b) 3 (c) -36221 (d) 0 (e) -2/9 (f) -1/10 b Which is the fifth smallest value? (a) 16 (b) 136 (c) 4/527 (d) 4 (e) 0 b Which is the sixth smallest value? (a) -5 (b) 5 (c) -0.02 (d) -0.2 (e) 2.9 (f) 26/11 (g) 2 e What is the second biggest value in -11628, 5885, -0.2? -0.2 What is the smallest value in -93016, 2, 21? -93016 Which is the sixth smallest value? (a) -2/9 (b) 1/8 (c) 0.1 (d) -16 (e) -7 (f) -3/16 (g) 2/9 b Which is the third biggest value? (a) 5 (b) -18926 (c) 609 b Which is the second biggest value? (a) 2/3 (b) -0.2 (c) 7/4 (d) -20 (e) 0.07 (f) -1.37 a What is the third smallest value in -0.2283, 4, 9.5? 9.5 Which is the third biggest value? (a) -0.299 (b) 0.23 (c) -3/4 (d) -1996 c Which is the smallest value? (a) -2/25 (b) -0.02 (c) 0.6 (d) -12/11 d Which is the fourth smallest value? (a) 1742 (b) -119 (c) 0 (d) -55 a What is the fifth biggest value in -5, 4946, 26, -0.5, 2/7? -5 Which is the second biggest value? (a) 1/3 (b) 1230 (c) -14.01 a What is the fifth smallest value in -2, 122, -0.79, 4, 1/2, -4/7, -1? 1/2 Which is the biggest value? (a) -3/8 (b) 8 (c) -25 (d) -2/7 (e) 974 e Which is the smallest value? (a) 8 (b) -4 (c) -3 (d) 2/7 (e) 0.648 (f) 0.006 b Which is the biggest value? (a) -4 (b) 1 (c) -1/82 (d) -78.52 (e) 5/4 (f) 5 f Which is the seventh biggest value? (a) -1 (b) -38/3 (c) -1/3 (d) 0.3 (e) 1.8 (f) -0.2 (g) 1/1320 b Which is the second smallest value? (a) -1348.71 (b) 0.3 (c) 52 (d) 3/5 (e) -1/5 e Which is the fourth smallest value? (a) -4 (b) -2/9 (c) 1 (d) 2/753 (e) -2/13 (f) -2 e Which is the fourth biggest value? (a) -7 (b) 7/3 (c) -2/19 (d) 0.495 (e) 1/4 c What is the second smallest value in 3/4, -2679, 0.44, -35/11, 3/2? -35/11 Which is the fourth biggest value? (a) 6 (b) -3/2 (c) -85/1594 (d) -12 (e) 1 b What is the sixth smallest value in -0.01, -1/8, -3/2, -8, -203, -1? -0.01 Which is the third biggest value? (a) -257 (b) -1.638 (c) -1 (d) 0.1 b What is the second smallest value in -0.06, -2/45, -109/7? -0.06 Which is the fifth smallest value? (a) -1 (b) 1 (c) 3 (d) 79 (e) 2 (f) -37 c Which is the second biggest value? (a) -12367 (b) -0.2 (c) -10/11 (d) 4 b Which is the fifth biggest value? (a) -66 (b) 0.3 (c) 41/5 (d) 0.4 (e) 2/399 (f) 4 e Which is the second smallest value? (a) 0 (b) 5 (c) 1/25 (d) -38239 a Which is the sixth biggest value? (a) 521 (b) 0.02 (c) -7 (d) -0.3 (e) 0.3 (f) -5/4 c Which is the biggest value? (a) 123197631 (b) 2 (c) -3 a Which is the fourth biggest value? (a) 11 (b) -1 (c) 4 (d) -11994.2 d What is the second biggest value in 352, 12.47, 0.5? 12.47 What is the fifth biggest value in -5, -1/3, -0.054, -37, 2/21? -37 What is the sixth biggest value in 3, -0.3, -35, -5, 1, -5/34, 5? -5 Which is the fifth smallest value? (a) 0 (b) -869 (c) -0.38 (d) 2/9 (e) -2459 d What is the fifth smallest value in 0.3, -3, -115/3, -1/6, -4661? 0.3 Which is the second biggest value? (a) -0.707 (b) 2/13 (c) 60948 b What is the biggest value in -2.2, 3.66, -135? 3.66 What is the fourth smallest value in 4, 2303, -0.4, -2, -1/5? 4 What is the second smallest value in 3, 736/135, 2/5, 0.1, 0.7? 2/5 What is the biggest value in -73378, 3, -3, -0.2, -1/2? 3 Which is the third biggest value? (a) -4326/547 (b) 3 (c) 0.3 a Which is the biggest value? (a) 522.2 (b) -10 (c) 5/4 (d) -0.4 a Which is the sixth smallest value? (a) -0.2 (b) 0.5 (c) 4 (d) -4/7 (e) 0.056 (f) -0.05 (g) 2/3 g Which is the fourth biggest value? (a) -4 (b) -18 (c) -36843 (d) 3/4 c What is the biggest value in -0.2, -3/2, -3, 234.2, -7/10, 0, 7? 234.2 Which is the fifth biggest value? (a) -9 (b) 8.1065 (c) -0.3 (d) -0.2 (e) -5 a What is the smallest value in -0.144, -1.712, 93? -1.712 What is the sixth smallest value in 3, 43, -14/13, 1, 160/7, 2/3? 43 What is the third biggest value in -161, -2, 1/5, 43/901? -2 What is the third smallest value in 2, -5/2, -440, 1/2, 0.2, 0.053? 0.053 Which is the third biggest value? (a) -14 (b) -1965/6146 (c) -3/4 a What is the fifth smallest value in 3.4, 5, -5, -1.2, 3/4, -224, 3? 3 What is the smallest value in 6, 39/535, -0.36, 4, -4? -4 Which is the third biggest value? (a) 2/11 (b) 10233/11 (c) -211 (d) -1 d Which is the third biggest value? (a) 1 (b) -4 (c) 0 (d) -0.3 (e) -2/69 (f) 5 (g) -1/2 c Which is the fourth biggest value? (a) 3/4 (b) -0.12 (c) -0.8 (d) -150 (e) 4 c Which is the second smallest value? (a) 1 (b) -120495 (c) 3 (d) 289 (e) -3 e What is the third biggest value in 18.1, 5, -0.2217834? -0.2217834 Which is the fourth biggest value? (a) 3 (b) 44 (c) -0.146 (d) -5/2 (e) -1/10 c Which is the fifth smallest value? (a) 1/82 (b) -3 (c) 0.2 (d) -0.61 (e) 0 (f) -24.1 a What is the second biggest value in -5, 0, 25, -1713? 0 What is the second biggest value in -0.06, -3, -1, -4897.44? -1 What is the biggest value in 5/6, -0.6, -5, -16182? 5/6 What is the fifth smallest value in -1, 0, 1, 1783622, -5? 1783622 Which is the fourth biggest value? (a) -0.3 (b) -5 (c) -24 (d) 0 (e) 1/3 (f) -0.077 a What is the fifth smallest value in 0.4, 685, -1286, 3, 1/9? 685 What is the smallest value in 0.04, -2/37, -7/6, 5, 8/655? -7/6 What is the smallest value in -0.03, 4.9125, 0.4, -0.2? -0.2 What is the fourth biggest value in 41, 1/9, 3, 9/5813, -2/7? 9/5813 Which is the second smallest value? (a) -95 (b) 702 (c) 50 c Which is the third biggest value? (a) -5 (b) -1/3 (c) -1 (d) -272/185 (e) 0.1 c What is the second smallest value in 0, 7, 4, 75, -3, -0.3, 0.27? -0.3 What is the fourth biggest value in -1119, 0, -3, -2, -2/13, 2, -36? -2 Which is the biggest value? (a) 2/223 (b) -2/15 (c) -7447 a What is the fifth biggest value in 1/10, 5, 8.535, -2/7, -5? -5 Which is the fourth smallest value? (a) -3 (b) 107 (c) -2/137 (d) 0.072 (e) 4 e What is the fifth smallest value in -7, -6, -38, -3, 0, 19, -4/9? -4/9 What is the smallest value in 0.05, -3/4, -0.0229, -1/8? -3/4 What is the biggest value in -5, 0.3491, -2/13, -3, -0.4, 1168? 1168 What is the biggest value in -0.1, -30, 1/5, 9, -1/12, 1? 9 Which is the fifth biggest value? (a) 2 (b) 0.238 (c) 0.9 (d) -0.2 (e) 0.2 (f) 0.4 (g) 0.07 e What is the fourth biggest value in 1862, -2, 3/4, 1, -2/17, 44? 3/4 Which is the fourth smallest value? (a) 0.7 (b) 0.5 (c) 0.2 (d) -136 (e) 57 (f) 0.3 b Which is the biggest value? (a) -4 (b) 137100 (c) -2/55 b What is the smallest value in 1/2136, 34, -0.4, 2, -4/5? -4/5 What is the smallest value in -19724, -1/24, -1/5, 19? -19724 Which is the seventh smallest value? (a) 615 (b) -0.1 (c) 0.6 (d) 4 (e) -2/9 (f) -9/7 (g) 26 a Which is the third smallest value? (a) 3/1507 (b) -1 (c) -1.93 a Which is the fourth smallest value? (a) -0.033 (b) -0.3 (c) -38/3 (d) 2/861 d Which is the fifth smallest value? (a) 1031 (b) 1176 (c) -1/7 (d) -3 (e) -2/7 (f) -4 a What is the third smallest value in -0.3, 0.4, 3/923, 9, 17? 0.4 Which is the fourth smallest value? (a) -3.2 (b) 0 (c) -0.0926 (d) 4 d Which is the second b
{ "pile_set_name": "DM Mathematics" }
Rearrange -1348*i**3 + 2*i**2 + 3*i**4 + 1345*i**3 + 0*i**4 - 2 to d*i**4 + k*i**2 + l*i + t*i**3 + s and give d. 3 Express c**3 + 0*c**3 - 2*c**3 + (c**2 + 2*c**2 - 6*c**2)*(4*c + c - 3*c) + 14*c**3 + 9*c**3 - 25*c**3 as p*c**3 + y*c**2 + u*c + n and give p. -9 Rearrange 160 + 9*o**3 - 22*o - 160 + (-4*o**2 + o**2 + 2*o**2)*(2 - 2*o - 2) to the form l*o**3 + a + g*o**2 + u*o and give l. 11 Rearrange 3*r**2 - 2*r**2 + 0*r**2 + (0*r**2 + 0*r**2 - r**2 + (3*r - 6*r + 4*r)*(19*r + 2 - 2))*(-1 + 0 + 3) to the form j*r**2 + h + x*r and give j. 37 Express -k**4 - 2*k**3 + 72*k + 6 - 123*k - k**2 + 51*k in the form h*k**2 + f*k + b + c*k**4 + l*k**3 and give h. -1 Express (1 - 3*k - 1)*(-1 - 1 - 1) + (40 - 34 + 89)*(-5*k + k + 3*k) in the form w + u*k and give u. -86 Express (j + j + 0*j)*(3 - 2*j**3 - 3) + 11*j**4 - 3*j + 3*j + 19*j**4 - 11*j**4 + 37*j**4 in the form f*j**3 + u + i*j**4 + t*j + v*j**2 and give i. 52 Rearrange 0*l - 6*l - 2*l - 2 - 8 - 2*l**2 - 3*l to the form a*l + s*l**2 + y and give y. -10 Rearrange ((4 - 7 + 1)*(i + 2 - 2) - 5*i - 65 + 65 - 2*i - i + i)*(i - 2 + 3 + 0*i) to v + l*i**2 + q*i and give q. -9 Rearrange -18*k**3 + 36*k**3 - 19*k**3 - 2 - k - 18*k**2 to r*k**2 + d + n*k**3 + c*k and give r. -18 Express d**3 + 0*d**3 - 4*d**3 + (-11 + 14 - 4)*(2*d - 3 + 3)*(5*d**2 - 2*d**2 - 2*d**2) in the form p*d**2 + h*d**3 + u + j*d and give h. -5 Express (0*m - 9*m + 4*m)*(-6*m + 2*m + 9*m)*(4*m - m - m)*(-3 + 2 + 2) as x*m + j*m**3 + d + n*m**2 and give j. -50 Rearrange -9 - 2*m**3 + 3*m**4 - m**3 + m**3 + m**2 + 2*m + 10 + 0*m**3 to s*m**2 + t*m**4 + j*m**3 + h + r*m and give h. 1 Rearrange -12*l**2 - 7*l - 3*l**3 + 3*l + 0*l + 2*l - 30*l**2 to p + c*l**2 + y*l + b*l**3 and give c. -42 Rearrange -2 + 3*o - 32*o**2 + o**3 - 3*o + 86*o**2 + 0*o**2 to t*o**3 + c*o + g*o**2 + q and give q. -2 Rearrange -15*w + 19*w + 36 - w**2 - w - 2 to the form l + t*w + h*w**2 and give h. -1 Rearrange (-3*a**4 - 2*a**4 - 11*a**4)*(-2 + 4 - 1) to the form t + m*a**2 + n*a**3 + h*a + d*a**4 and give d. -16 Express u + 70 - u**2 - 2*u - 2*u**2 - 24 as i + o*u**2 + q*u and give i. 46 Express -7*k + 9*k + 149*k in the form v*k + r and give v. 151 Express -646*s**2 + 19 - 44 + 25 as a*s**2 + v*s + y and give a. -646 Rearrange -l - l + 5*l + (2 - 6 + 2)*(-2 - 2 + 5)*(-41*l - l - 8*l) to the form i + b*l and give b. 103 Express (-73*m**2 + 4*m + 67*m**2 + 0*m - 1)*(2 - 8*m - 2) as q*m + n + w*m**2 + x*m**3 and give q. 8 Express (h**2 + h - h)*(24*h - 43*h + 29*h) + 0*h**3 - 4*h**3 + 5*h**3 + 1 + (-2*h**3 - h**3 + 4*h**3)*(-4 + 0 + 2) as a*h + c*h**2 + f*h**3 + b and give b. 1 Express -31*b**2 + 55*b**2 + 64*b**2 in the form r*b + m + n*b**2 and give n. 88 Rearrange (-3*k + k - k)*(29*k - 90*k + 58*k - 273) to x*k**2 + q + i*k and give x. 9 Rearrange (-2*i**2 + i**2 + 189*i**3 - 193*i**3)*(-2 - 5 - 6)*(1 + 5 - 4) to the form k*i + u*i**3 + l*i**2 + b and give l. 26 Rearrange -69 - 89 - d + 171 + (-2 + 4 - 6)*(-d + 3*d + 0*d) + 2*d + 4 - 4 to the form i*d + s and give i. -7 Rearrange -187*u**2 + 4*u**3 - 303*u + 89*u**2 + 97*u**2 - 3*u**3 - 1 to g*u + y*u**2 + r + b*u**3 and give r. -1 Express (-2 + 1 + 2 + (0 - 2 + 3)*(-1 + 7 - 4) - 3 + 6 - 4 + 1 + 9 + 16)*(-5*j**2 + 2*j**2 - 3*j**2) as p + i*j + n*j**2 and give n. -168 Express -52*d - 389*d - 294*d in the form v*d + c and give v. -735 Rearrange 2*j**3 - 2 + 137*j**2 - 138*j**2 + 0 to u*j + l*j**2 + z + w*j**3 and give w. 2 Rearrange (32*z + 14*z**2 - 119*z**3 - 38*z + 2 + 116*z**3)*(z - 7*z + 4*z) to g + i*z**2 + o*z**3 + v*z + h*z**4 and give v. -4 Rearrange 14*p**2 - 4 + 11*p + 26*p - 37*p to the form k + d*p**2 + r*p and give k. -4 Express (-5 + 4 - 28 + (-4 + 1 + 2)*(4 - 1 - 4))*(-15*z + 36*z + 6*z + 43*z) in the form p*z + t and give p. -1960 Express -62*s**2 + 18*s - 7*s + 64*s**2 in the form y*s**2 + u + n*s and give y. 2 Express (4 - 3 - 2 - u)*(-29*u**3 + 9*u**3 - 8*u**3) in the form w*u + x*u**3 + b*u**2 + v + c*u**4 and give c. 28 Express (-5 + 5 - 1)*(-2 - 3 + 6)*(-89 - 57 - 2*i - 104)*(-5*i + 0*i + 4*i) as o + x*i + t*i**2 and give x. -250 Express (-m**2 - 15*m**2 - 4*m**2)*(-m + 2 - 2)*(m - m + m) + (-m + 3*m - 2 - 5*m)*(-3 + 3 + m**3) in the form o*m**3 + u*m + y*m**4 + t*m**2 + r and give o. -2 Rearrange 36*o**3 - 18*o**3 - 2*o**2 - 6*o**2 - 16 + 3*o**2 + o - 15*o**3 to the form m*o**3 + j*o**2 + p + i*o and give i. 1 Rearrange (-4*x**2 + 4*x**2 + x**2)*(30*x - 14*x - 19*x - 8) to g*x**3 + i + z*x**2 + q*x and give g. -3 Rearrange 4 + 1 - 13*k - 40*k**2 - 6 + 14*k to the form y*k**2 + g + l*k and give g. -1 Express 9*s**2 - 10*s**2 + 29*s**2 + (-7*s + s + 5*s + 3)*(s - 2 + 2) in the form n + r*s**2 + b*s and give b. 3 Rearrange (4 - 5 - 1)*(4 - 1 - 5 + 0 - 1 + 2 + (-3 + 1 + 3)*(0 + 1 - 2) + 3 - 5 + 1 - 2 + 4 - 1)*(257*d - 312 + 312) to the form w*d + f and give w. 1028 Express 14*d**2 - 3*d + 2*d**2 + 9*d**2 - 2*d + d as f*d + p*d**2 + c and give p. 25 Express 7*r**4 + r**2 - 18*r - r**3 - 2 + 17*r + r**4 in the form c*r**4 + u + m*r + w*r**2 + i*r**3 and give w. 1 Express (-z**2 - z + z + (0 + 0 + 2*z)*(-1 - 2*z + 1) + 0 - 2*z**2 + 0)*(485 - 485 - 230*z - 2062*z) in the form g*z + x + k*z**2 + i*z**3 and give i. 16044 Rearrange -2*c - 2*c**2 + c - 9*c**4 - 12*c**4 - 5*c**3 + 20*c**4 - 5 + 3*c**3 to d*c**4 + z*c**2 + b*c + y*c**3 + k and give d. -1 Rearrange (0*s - s - s)*(2*s + 5*s - 15*s + 26) to the form v*s**2 + u*s + o and give u. -52 Express (-3 + 2*k**2 + 3)*(0 - 1 + 0)*(-1 - 2 - 1)*(-3 + 4 - 3)*(157 - 5 - 10) as n*k**2 + f*k + g and give n. -2272 Express 0*q - 9*q + q + 8*q - 10*q**2 + 18 as s*q**2 + m*q + t and give t. 18 Rearrange (2 + 2*r**3 - 2)*(-1 + 2 - 4) + (-2*r**2 + 4 - 4)*(-4*r - 2*r + 0*r) to the form m*r**3 + p + l*r + o*r**2 and give m. 6 Rearrange -6*f + 14*f**3 + 0 - 2*f**2 - 2 + f**4 - 12*f**3 - 4*f**3 to the form t + w*f**4 + j*f**2 + y*f + v*f**3 and give t. -2 Rearrange -8 - 64*r + 10 - 9 - 20*r to the form q*r + n and give n. -7 Express ((1 + 0 + 0)*(-3 + 1 + 3) + 3 + 1 - 1 + 13 - 12 + 17)*(-13*w - 6*w + 81*w) as j*w + z and give j. 1364 Express 7*y + 2 + 12*y**2 + 0 + 0 - 2 in the form k*y + r + p*y**2 and give p. 12 Express 4*y**4 - 3*y**3 + 11 - 13*y + 19*y - 6*y**4 in the form u*y**3 + d*y**2 + n*y**4 + f + p*y and give u. -3 Express -2*w**2 + w**2 - 5*w + 6*w**2 - 9*w**2 + w**2 in the form x + j*w**2 + t*w and give j. -3 Express -77*q + 3*q**2 - 8*q**2 - 19*q + 3*q**2 as a*q + g*q**2 + f and give g. -2 Rearrange -8*c**3 + 4*c - 4*c + 4*c**3 - 1 to h*c + i + r*c**3 + u*c**2 and give r. -4 Rearrange 7*k**4 + 2*k**4 + 2*k**3 + 4*k + 8*k**4 - 26*k**4 + 8*k**4 + 8*k**2 to v*k + j*k**3 + o + m*k**2 + c*k**4 and give m. 8 Express 2 + 363*s - 2 - s**2 - 359*s + 6*s**2 as g + l*s + c*s**2 and give c. 5 Express 14*q**2 - 8*q + 2*q**3 - 40*q**2 + 25*q**2 + 3 - 2*q**4 in the form n*q + b*q**4 + j*q**2 + k*q**3 + h and give b. -2 Express (-33 - 25 + 16)*(4*l - 9*l - 4*l) as u*l + z and give u. 378 Express 30*q**3 - 22920*q**2 + 40*q**3 + 22917*q**2 in the form y*q + u*q**2 + d + a*q**3 and give a. 70 Express -5*o**3 + o**3 - 2*o**3 + (0 + 3*o**3 + 0)*(2 + 1 - 4) + 0 + 0 - 3*o**3 + 2*o**3 - 3 + 3 in the form c*o + w*o**3 + p*o**2 + n and give w. -10 Express (-253 - 272 - 296)*(4 - 2 + 0)*(6*i - 4*i + 0*i) in the form z*i + s and give z. -3284 Rearrange -220*j**2 - 13*j**3 + 60*j**2 - 1 + 161*j**2 to the form n*j + l*j**2 + w + u*j**3 and give u. -13 Rearrange (3 - 2 - 4)*(-d + 2 - 2) - 9800 - 20*d + 9800 to the form w*d + o and give w. -17 Express -1405*i**2 + 2 + 114868*i - 114868*i in the form k*i**2 + m*i + d and give d. 2 Express -15 + 22 - 9 + 110*j in the form s*j + i and give s. 110 Rearrange 20 - 8 + 305*b - 4 - 8 + (-5 + 4 + 5)*(0*b + 2*b - 3*b) to the form g + r*b and give r. 301 Express 2*d**2 + 7*d + 12*d + 15*d - 33*d + 44 in the form a + w*d**2 + c*d and give w. 2 Express -2*s + 2*s**2 + 2*s + (3*s + 0*s - 1 - s)*(8 - 4 - 10*s + 4) as n*s**2 + q*s + x and give n. -18 Rearrange -k - 1 + 4*k + 3*k - 10*k - 3*k to p + a*k and give a. -7 Express (102 + 162 + 112)*(0*b + 0*b - 2*b) as t + h*b and give h. -752 Express (212 + 75 + 112 + 1492)*(4*r - 2*r - r) as w + s*r and give w. 0 Rearrange 270*a**3 - 2*a**4 - 138*a**3 + 10*a**2 - 1 - 132*a**3 to the form
{ "pile_set_name": "DM Mathematics" }
be (-1)/4 + 50/8. What is the units digit of 11*v/3 - -3? 5 Suppose -l = 2*l - 27. Let b be 8/(-12) - (-87)/l. Suppose -4 = h - x - 4*x, 5*h = -4*x + b. What is the units digit of h? 1 Suppose 26 = -4*v - 18. Let a(d) be the first derivative of d**4/4 + 11*d**3/3 + 5*d + 15. What is the units digit of a(v)? 5 Let x = -53 - -59. What is the units digit of x? 6 Let z(h) = h**2 + 3*h - 8. What is the hundreds digit of z(-15)? 1 Let d = -6 - -6. Suppose 5*x + d*x - 75 = 0. What is the units digit of x? 5 Let m be (-6)/(-16)*2*4. Suppose 0 = -f - 0 + 4. Suppose 0 = f*y + m*j - 67, -y - 3 = -j - 18. What is the tens digit of y? 1 Suppose 0*w + 3*w + 3*r = 12, w - r + 6 = 0. What is the tens digit of (12 + w + 3)*1? 1 Let m(f) = -f. Let p be m(-4). Let z(u) = 0 + 1 + 3 - u + p. What is the units digit of z(-11)? 9 Let c(f) = -7 - 2*f - 6*f**2 + f**3 - f - f. What is the tens digit of c(7)? 1 Suppose 5*j - 3*l - 288 = -6*l, 4*j = 2*l + 226. What is the units digit of j? 7 Let j be -2 - (-3)/1 - 1. Suppose 0 = 2*h - j*h. What is the units digit of 10/(h + (2 - 0))? 5 Let d be (-2)/(-2)*(-6)/2. What is the units digit of 6/(d/((-3)/1))? 6 Let p(i) = -1 + i - 3*i - 3 + 1. What is the tens digit of p(-7)? 1 Suppose 0*o - o = -4. Suppose 0*s - 4*s + 3*b = 20, -o*s - 4*b + 8 = 0. What is the tens digit of 5 + 9 - (0 + s)? 1 Suppose 55 + 55 = 5*k. What is the units digit of k? 2 What is the units digit of (5 - 3)/((-1)/(-44))? 8 Suppose -z - z + 64 = 0. What is the units digit of z? 2 Suppose -5 = 3*o + 13. What is the tens digit of 123/6 - o/(-4)? 1 Suppose 3*u - 53 = -14. Let a = 31 - 19. Suppose 0 = 3*s + a, -4*h + 3*s + 15 + u = 0. What is the units digit of h? 4 Suppose p = 4*o - 0*p - 15, -o = p. Suppose 2*n = -0*n - f + 41, -4*n + 87 = -o*f. What is the tens digit of n? 2 Suppose 3*t = -0*t + 3*i + 9, -t = i - 1. Suppose -2*u - 7*m = -t*m + 5, 45 = 5*u + m. Suppose 8*b + 8 = u*b. What is the units digit of b? 4 Suppose -p = d - 8, -2*p - 5*d = -13 - 15. Suppose p*u - 2*u = 36. Let i = -10 + u. What is the units digit of i? 8 Let q be (3/9)/((-4)/(-24)). Let u(i) = -4*i**2 + i**3 + q - 4*i + 2*i**3 - i**3 - i**3. What is the units digit of u(5)? 7 Let z(b) = 2*b - 5. Let j be z(6). Suppose 3*c - i = -20, 4*c - i = -8 - 18. Let x = j + c. What is the units digit of x? 1 Let l(p) = p**3 + 7*p**2 - 3*p + 7. What is the tens digit of l(-7)? 2 Suppose 5*k - 4*g + 94 = 7*k, -4*k = 5*g - 194. What is the tens digit of k? 5 Let a = 2 + 3. Suppose -2*b - a = -0*x - x, 0 = x + 4*b - 17. What is the units digit of x? 9 Suppose -4*w + 39 = 9*w. Let d be (1 + -2)/1 + 0. What is the tens digit of (w/d)/(6/(-40))? 2 Let q(j) = j + 1. Let i be 21/3*1 - 3. Suppose 27 = i*s + h, -5 = 2*h + 3*h. What is the units digit of q(s)? 8 Suppose -o + w = 0, -5*o = -6*w + 2*w + 1. What is the units digit of ((-1)/1)/(o/23)? 3 Let f(h) = 5*h**3 - 10*h + 3*h - 4*h**3 + 5*h**2 - 1. What is the units digit of f(-6)? 5 Suppose r + 5*a - 8 = -33, 3*r = -5*a - 45. Let u be (-16)/((r/(-4))/(-5)). Let l = u - 19. What is the units digit of l? 3 Let q(n) = 3*n + 2. Let m be q(1). Suppose -50 = -3*z - m. What is the units digit of z? 5 Let a = -3 - -108. What is the tens digit of a? 0 Suppose 0 = 4*a - 18 - 30. Let s = 24 - a. What is the units digit of s? 2 Let a be 12/(-2)*2/(-3). Suppose 20 = -2*o + a*j - 7*j, -1 = -o + 4*j. Let u(w) = w**3 + 7*w**2 + w + 10. What is the units digit of u(o)? 3 Let b = 328 - 226. What is the tens digit of b? 0 Let g be (-4)/(-6)*(-9)/(-6). What is the units digit of -1 + g + (-208)/(-8)? 6 Let z = -132 + 188. Let m(w) = -w**3 + w**2 - w + 5. Let f be m(0). Suppose -1 = f*j - z. What is the tens digit of j? 1 Let y = -7 + 3. What is the tens digit of (-50)/y*12/15? 1 Let v = 2 - 1. Let t = 1 + v. What is the units digit of t? 2 Let q(g) = -g**3 - 19*g**2 - 37*g - 35. What is the tens digit of q(-17)? 1 Let q(d) = -d**3 - d**2 + 1. Let b be q(-2). Suppose b*z = -0*z + 25. Suppose 2*y = -4*r - 0*y + 38, 0 = z*r - y - 44. What is the units digit of r? 9 Suppose 269 = 6*t + 71. What is the units digit of t? 3 Suppose 0*t = -2*t + 10. Suppose 0*s + t*s + 16 = 2*k, 5*k + 3*s - 9 = 0. Suppose -2*v + 10 = 4*i, 34 - 4 = 3*v + k*i. What is the tens digit of v? 1 What is the tens digit of 1/(-2) + ((-218)/4)/(-1)? 5 Suppose w + 4*t - 2*t = 11, 0 = 3*t - 9. Suppose o = w*y - 85, -3*y + 43 + 0 = o. What is the tens digit of y? 1 Let u(d) = d**3 + d**2 + 40. Let s be u(0). Let g be s*2/(2 - 0). Suppose 2*m + 3*m = g. What is the units digit of m? 8 Let v(a) = -a - 1. Let i(p) = p. Let u(r) = -3*i(r) - 2*v(r). Let z be u(-2). Suppose -3*w = -0*w + z*y - 15, 5*w = 5*y + 60. What is the units digit of w? 9 Suppose g = 2*c - g + 6, -12 = -c - 2*g. Suppose -u = -r - 1, 3*r - 1 = c*u - 0. Suppose -1 = -3*f - 5*l - 3, -3*l = u*f - 12. What is the units digit of f? 6 Let g(t) = -t - 2. Suppose -2*j = -p - 16, -p - 10 = -j - 0*j. Let l be g(j). What is the units digit of 4/6*(-108)/l? 9 Let y = -53 - -91. Let m = 18 + -16. Suppose m*p = 4*p - y. What is the tens digit of p? 1 Let t = 6 - 10. What is the units digit of 87/12 + 1/t? 7 Let s = 3 + 8. What is the units digit of s? 1 Suppose 275 = 2*f + 85. What is the tens digit of f? 9 Let b = 50 - 0. What is the units digit of b? 0 Let z be (-3)/1 - -4 - 1. Suppose -3 - 3 = -2*q, z = 4*h - 4*q + 4. What is the units digit of h? 2 Let p = -19 + 37. What is the units digit of p? 8 Let c be 1 - (1 + 1 - 3). What is the units digit of 35/c*24/15? 8 Let s(a) = a**2 - 3*a - 19. What is the units digit of s(-6)? 5 Suppose 4*b - 478 = 790. What is the hundreds digit of b? 3 Suppose -2*x + 36 = 2*t - 6*x, x - 11 = -2*t. Suppose 4*r - 52 = t. What is the tens digit of r? 1 Let q = 21 - 13. What is the units digit of q? 8 Suppose -o + 5*o = -16. Let m(g) = -8*g + 3. What is the tens digit of m(o)? 3 Let t = -1 + 10. What is the units digit of t? 9 Let l(q) = -2*q**3 - 4*q - 2. Let w be l(-3). Suppose -u + w = 3*u. What is the units digit of u? 6 Let w(d) = 12*d**2 - 2*d - 1. Suppose 0 = 4*v - r + 6, v + 3*r - 5 = 0. What is the units digit of w(v)? 3 Let c = 101 - 28. What is the tens digit of c? 7 Let i = 11 - 6. Suppose l = -4*r - 16, 4*r + 15 = i*l - 1. What is the units digit of 2*(l + 11 - 0)? 2 Let n(p) = -p**2 + 7*p - 6. Let y be 3*(15/(-9) - -2). Let a = 5 - y. What is the units digit of n(a)? 6 Let u(m) = m**2 + 10*m + 6. Let k(i) = 2*i**2 + 20*i + 12. Let p(l) = -3*k(l) + 5*u(l). What is the units digit of p(-6)? 8 Let w = -70 - -128. What is the units digit of w? 8 Let m = -3 + 4. Suppose 15 - 5 = 5*x. What is the units digit of x + (m + -2)*1? 1 Let s = -10 - -17. What is the units digit of s? 7 Suppose -3*q + 5*h = 42 - 521, 3*q - 3*h - 471 = 0. What is the units digit of q? 3 Suppose 0 = 6*l + 119 - 413. What is the units digit of l? 9 Let a(w) be the third derivative of w**5/10 + w**4/24 + w**3/6 + 5*w**2. What is the units digit of a(-3)? 2 Suppose 0 = -6*y - 3*y + 1611. What is the tens digit of y? 7 Suppose -j = -3*a - 12, j = -4*a + a + 6. Let w(m) = 2*m - 13. Let o be w(j). Let p = 3 + o. What is the units digit of p? 8 Suppose -432 = -5*s - f, -5*s + 183 = -3*s - 3*f. What is the units digit of s/(-2)*(-12)/18? 9 Let k = -4 + 7. Let y be 6 - ((2 - k) + -2). Let t = 17 - y. What is the units digit of t? 8 Let n = 222 + -102. Suppose -h + 5*h = n. Suppose -5*x + 10 = -h. What is the units digit of x? 8 What is the hundreds digit of (30/(-45))/((-1)/252)? 1 Let j(f) = -f - 1. Let o be j(-6). Suppose -5 + 85 = o*z. What is the units digit of z? 6 Suppose -2*q + 6 = -12. Suppose 5*r = 2*l, -3*r - q = -0*r - 3*l. What is the units digit of r? 2 Let a(g) = -3*g**3 - 6*g**2 - 6*g + 16. What is the tens digit of a(-4)? 3 Let b(k) = 3*k**2 + 5*k + 2. Let q be b(-3). Let n = 30 - q. What is the tens digit of n? 1 Suppose 0 = 3*c - 60 - 12. What is the units digit of c? 4 Let j = -3 + 28. What is the units digit of j? 5 Let w(g) = 3 - 7*g + 3*g**2 + 0*g - 2*g**2. What is the units digit of w(9)? 1 Suppose u = -3*u + 40. Suppose d = 2, f = -f + 2*d + u. Suppose -3*y = -8 - f. What is the units digit of y? 5 Let b = -22 - -23. What is the units digit of (34 - 0/2) + b? 5 Let t(b) = -12*b - 1. What is the tens digit of t(-7)? 8 Le
{ "pile_set_name": "DM Mathematics" }
What is the units digit of 10084757? 7 What is the tens digit of 375203? 0 What is the units digit of 51355? 5 What is the ten millions digit of 32390699? 3 What is the ten millions digit of 19353234? 1 What is the ten thousands digit of 1534742? 3 What is the units digit of 1103905? 5 What is the millions digit of 1277740? 1 What is the units digit of 1669718? 8 What is the units digit of 1676419? 9 What is the thousands digit of 3657068? 7 What is the tens digit of 125521? 2 What is the units digit of 680807? 7 What is the hundred thousands digit of 5085487? 0 What is the units digit of 621908? 8 What is the hundreds digit of 11360678? 6 What is the units digit of 7451042? 2 What is the units digit of 719386? 6 What is the hundreds digit of 22910959? 9 What is the hundreds digit of 1227604? 6 What is the hundreds digit of 159801? 8 What is the tens digit of 4270207? 0 What is the hundreds digit of 829395? 3 What is the thousands digit of 381845? 1 What is the thousands digit of 9399791? 9 What is the tens digit of 758240? 4 What is the ten thousands digit of 326795? 2 What is the tens digit of 4595359? 5 What is the hundreds digit of 4806298? 2 What is the ten thousands digit of 239137? 3 What is the thousands digit of 1425726? 5 What is the millions digit of 4938810? 4 What is the ten thousands digit of 5603356? 0 What is the thousands digit of 155075? 5 What is the tens digit of 599012? 1 What is the hundreds digit of 11967406? 4 What is the tens digit of 1265098? 9 What is the tens digit of 4035958? 5 What is the thousands digit of 579124? 9 What is the hundreds digit of 5925656? 6 What is the hundreds digit of 2584045? 0 What is the hundred thousands digit of 6349743? 3 What is the hundreds digit of 1820627? 6 What is the thousands digit of 81519? 1 What is the thousands digit of 453783? 3 What is the thousands digit of 1165215? 5 What is the ten thousands digit of 12969979? 6 What is the millions digit of 1981199? 1 What is the hundred thousands digit of 491054? 4 What is the ten thousands digit of 543242? 4 What is the thousands digit of 161031? 1 What is the hundreds digit of 841220? 2 What is the units digit of 228146? 6 What is the ten thousands digit of 98477? 9 What is the tens digit of 2865039? 3 What is the thousands digit of 483789? 3 What is the tens digit of 198101? 0 What is the ten thousands digit of 4972156? 7 What is the hundred thousands digit of 9797022? 7 What is the ten thousands digit of 480175? 8 What is the ten thousands digit of 323064? 2 What is the units digit of 96669? 9 What is the units digit of 182669? 9 What is the units digit of 12641039? 9 What is the units digit of 8650447? 7 What is the tens digit of 1014038? 3 What is the thousands digit of 132047? 2 What is the thousands digit of 19478? 9 What is the hundred thousands digit of 284859? 2 What is the units digit of 665060? 0 What is the thousands digit of 8087031? 7 What is the tens digit of 282290? 9 What is the ten thousands digit of 412397? 1 What is the units digit of 962713? 3 What is the ten thousands digit of 505154? 0 What is the ten thousands digit of 26546314? 4 What is the hundreds digit of 8217836? 8 What is the millions digit of 8162601? 8 What is the hundreds digit of 1444622? 6 What is the hundreds digit of 1055381? 3 What is the thousands digit of 1864625? 4 What is the millions digit of 1036236? 1 What is the ten thousands digit of 106089? 0 What is the thousands digit of 179403? 9 What is the ten thousands digit of 15166960? 6 What is the ten thousands digit of 554537? 5 What is the hundred thousands digit of 8445697? 4 What is the units digit of 23985266? 6 What is the ten thousands digit of 959381? 5 What is the hundreds digit of 109042? 0 What is the hundred thousands digit of 1593420? 5 What is the hundreds digit of 2711645? 6 What is the millions digit of 1477952? 1 What is the millions digit of 7774998? 7 What is the units digit of 1679419? 9 What is the tens digit of 133104? 0 What is the tens digit of 313104? 0 What is the hundreds digit of 6351357? 3 What is the ten millions digit of 18152533? 1 What is the hundred thousands digit of 3392621? 3 What is the hundred thousands digit of 605214? 6 What is the hundreds digit of 35831? 8 What is the units digit of 26577710? 0 What is the tens digit of 261744? 4 What is the thousands digit of 394430? 4 What is the hundreds digit of 1148622? 6 What is the ten thousands digit of 5366761? 6 What is the ten thousands digit of 5507742? 0 What is the ten millions digit of 17660178? 1 What is the units digit of 10933902? 2 What is the hundreds digit of 5239019? 0 What is the hundred thousands digit of 16312326? 3 What is the units digit of 149982? 2 What is the tens digit of 4881041? 4 What is the millions digit of 16416087? 6 What is the units digit of 133572? 2 What is the ten thousands digit of 24644462? 4 What is the ten thousands digit of 384719? 8 What is the ten thousands digit of 20200051? 0 What is the thousands digit of 440518? 0 What is the hundred thousands digit of 159026? 1 What is the units digit of 1857102? 2 What is the units digit of 212168? 8 What is the millions digit of 14013453? 4 What is the hundred thousands digit of 13179003? 1 What is the hundreds digit of 740774? 7 What is the hundred thousands digit of 2349842? 3 What is the hundred thousands digit of 26466410? 4 What is the tens digit of 151439? 3 What is the hundred thousands digit of 4875738? 8 What is the hundreds digit of 107834? 8 What is the hundred thousands digit of 2001992? 0 What is the units digit of 1905207? 7 What is the units digit of 8516521? 1 What is the tens digit of 4434063? 6 What is the tens digit of 535320? 2 What is the hundred thousands digit of 3886228? 8 What is the units digit of 518600? 0 What is the tens digit of 219595? 9 What is the hundred thousands digit of 1592889? 5 What is the units digit of 8480321? 1 What is the thousands digit of 3579364? 9 What is the tens digit of 1901166? 6 What is the tens digit of 90491? 9 What is the ten thousands digit of 1219485? 1 What is the ten millions digit of 25506691? 2 What is the ten millions digit of 15610883? 1 What is the units digit of 205368? 8 What is the ten thousands digit of 408631? 0 What is the units digit of 671281? 1 What is the hundred thousands digit of 100690? 1 What is the hundreds digit of 39595? 5 What is the ten thousands digit of 8377803? 7 What is the hundred thousands digit of 2444881? 4 What is the ten millions digit of 26490798? 2 What is the tens digit of 2468364? 6 What is the hundreds digit of 1462642? 6 What is the tens digit of 1254849? 4 What is the thousands digit of 3922744? 2 What is the hundred thousands digit of 803332? 8 What is the ten millions digit of 13421565? 1 What is the units digit of 656699? 9 What is the ten thousands digit of 915224? 1 What is the ten thousands digit of 113908? 1 What is the hundreds digit of 348004? 0 What is the thousands digit of 2248882? 8 What is the units digit of 115051? 1 What is the thousands digit of 5983305? 3 What is the units digit of 5724109? 9 What is the hundred thousands digit of 837650? 8 What is the millions digit of 1118794? 1 What is the units digit of 18050? 0 What is the ten thousands digit of 287675? 8 What is the millions digit of 4154173? 4 What is the hundreds digit of 150745? 7 What is the ten millions digit of 11875882? 1 What is the ten millions digit of 21918949? 2 What is the hundreds digit of 629931? 9 What is the tens digit of 66854? 5 What is the hundred thousands digit of 18792587? 7 What is the units digit of 5222642? 2 What is the tens digit of 9255607? 0 What is the hundreds digit of 12787791? 7 What is the tens digit of 1722988? 8 What is the hundreds digit of 4200659? 6 What is the ten thousands digit of 29440804? 4 What is the millions digit of 2946981? 2 What is the hundred thousands digit of 116286? 1 What is the units digit of 9593? 3 What is the millions digit of 1816210? 1 What is the millions digit of 9003089? 9 What is the hundred thousands digit of 380162? 3 What is the ten thousands digit of 1399107? 9 What is the units digit of 447794? 4 What is the units digit of 2247366? 6 What is the tens digit of 1280678? 7 What is th
{ "pile_set_name": "DM Mathematics" }
3)/(-2). Let r be -3*z/(-16)*b. What is the third biggest value in -2, r, 1/6? -2 Let n = 152 + -1068/7. Which is the third smallest value? (a) 3 (b) 2/11 (c) n a Let q = -11 + 10.5. Let z = 1.34 - -0.16. Let t = -1.8 + z. What is the biggest value in -4, t, q? t Let n = 1571 - 1571.3. Let r(f) = -f**3 - 3*f**2 + 2*f + 4. Let w be r(-3). Let k be w/2 + -1 + 1. Which is the second biggest value? (a) n (b) k (c) 1/2 a Let g be (-160)/234 - ((-158)/(-18) + -9). Which is the second smallest value? (a) 2/13 (b) g (c) 1/21 c Let j = 15 + -17. Suppose -2*f = 3*f + 10, -5*f - 2 = 2*t. Which is the second biggest value? (a) t (b) j (c) 2/13 c Let w be 2/(-12)*2/4. Let y = 9213 + -9209. What is the second smallest value in y, w, 4/5? 4/5 Suppose 232 = 14*k + 44*k. Which is the second smallest value? (a) -21/5 (b) 0 (c) k (d) 0.2 b Let w = 5.29 - 5.39. Which is the fourth biggest value? (a) -0.3 (b) w (c) -2/63 (d) 0.3 a Let m = 4.2 - 4. Let w = m - -0.8. Let v = -10 + 9.94. What is the smallest value in 5, w, v? v Let v = 3 + 5. Let a = v + -8.2. Suppose -3*x = 6, -2*n - 5*x = -0*x + 16. What is the third smallest value in 0.4, a, n? 0.4 Let k = -662.4 - -619.29. Let o = -15.07 - k. Let n = -28 + o. Which is the smallest value? (a) -4 (b) -1/4 (c) n a Let g = 4.9 - -1.1. Let r be -2 - 225/(-84) - (-6)/(-14). What is the second biggest value in g, 1, r? 1 Let z = -28.97 - -18.04. Let l = z - -11. Let t = l + -4.07. What is the biggest value in 2, -0.2, t? 2 Let d = -7.77 - -7.87. What is the smallest value in -63, -3, d, -0.2? -63 Let q be ((-60)/(-14))/(12/(-16)) - -6. What is the second biggest value in q, -0.034, 3/4? q Let i = 9 + -9. Let c = 12.26 - 11.76. What is the second biggest value in c, 3/2, i, 2? 3/2 Let f = -0.2 - -0.1. Let j = 20152 + -20148. Which is the third biggest value? (a) 0 (b) j (c) f (d) 2 a Let a = 1.6 + 7.4. Let l = a + -15. Let k = l + 5. What is the second biggest value in k, 3, -1/6? -1/6 Let d = 275 - 270. What is the third biggest value in -4, 4, 0.5, d? 0.5 Let j = 216 - 215. Which is the fourth smallest value? (a) j (b) -1/3 (c) -1 (d) -0.5 a Let t(q) = -11*q**2 + 3*q - 3. Let x be t(1). Let d be 167/x - ((-93)/(-33) + -3). Which is the smallest value? (a) d (b) 3/4 (c) -4 a Let y be ((-43)/(-215))/((-2)/(-4)). What is the second biggest value in 7, -2, y? y Suppose 3*p - p = 10. Let h = 1144.2 - 1144. Which is the second smallest value? (a) 1 (b) h (c) p a Suppose -2*l = -5*r + l + 2, r + 5*l - 6 = 0. Let i = r + -1. Let w be (-1 - 3)/(1 - i). What is the third smallest value in -3, w, -2/13? -2/13 Let w = 2042 - 2042.4. Which is the third smallest value? (a) w (b) -1/8 (c) 4 (d) -43 b Let s be (-4)/14 + 110/(-105) + 2. What is the fourth smallest value in s, -2/3, -0.036, -2? s Let h = -2.76 - -3.26. Let d = -0.7 - -0.4. Let w = -0.7 + d. Which is the second smallest value? (a) 4/5 (b) w (c) h c Let f = 2 - -7. Let y = 5 - f. Let l(n) = 45*n + 92. Let m be l(-2). Which is the second biggest value? (a) y (b) m (c) -0.1 c Let h = 0.1896 + 3.8104. Let o = -0.4 - -0.2. Which is the fourth smallest value? (a) 3 (b) 5/4 (c) h (d) o c Let m = -0.04 + 0.14. Let s = -0.95 - -1. Let c = s - 0.55. What is the smallest value in m, -0.2, c? c Suppose 0 = 3*o - 5*r + 1, -2 = 2*o - 4*r. Suppose t = o*t + 30. Let f be -1*1 + t/(-10). What is the biggest value in 1, f, 2? 2 Let i be (-64)/(-11) + 12/66. Let q = 1.96 - -0.04. Which is the third biggest value? (a) i (b) -2/7 (c) q b Let x = 407 + -3261/8. Which is the smallest value? (a) -0.4 (b) -3 (c) 2 (d) x b Let m = -29 + 45. Let u = 21 - m. Suppose -5*k = -u, 2*p + 4*k + 8 - 20 = 0. Which is the second biggest value? (a) -0.08 (b) -3 (c) p a Let p = -1811/868 + -7/124. Which is the third biggest value? (a) -2 (b) 2/9 (c) p c Let j = 389.5 + -390. What is the fourth biggest value in 5, 4, 6, j? j Let o = -806.5 - -807. Which is the third smallest value? (a) -3 (b) o (c) 1 c Let z = 10 - -3. Let x = -13.13 + z. Let d = x - -0.23. What is the third biggest value in 0.2, d, -0.2? -0.2 Suppose 295 - 319 = -6*v. Let i(n) = -n**3 - n**2 + 3*n + 2. Let a be i(-2). What is the second smallest value in a, 10, v, 5? v Let q be 2 + (-1 + 0)/(5/25). Let s be (-20)/6 + 4 - (-1)/q. Which is the smallest value? (a) -4 (b) s (c) -3 a Let g = 2366 + -2368. Which is the third biggest value? (a) 0.4 (b) -5 (c) g (d) -1/17 c Let f = -302 + 297. Which is the third biggest value? (a) 1/8 (b) 8 (c) f c Let p = -458 - -3210/7. What is the fourth biggest value in 5/4, p, 3, -4? -4 Let n = -49 - -48.97. Let i = n + 4.03. Let v = 0.04 + 0.02. Which is the third smallest value? (a) i (b) v (c) 3 a Let y = -1.1 + 6.1. Suppose t - 92 = 2*g, 2*t + 2*g = -2*t + 358. Let z be 63/t + 1/(-5). Which is the third biggest value? (a) y (b) z (c) 6 b Let r = 193 - 192.9. Which is the third biggest value? (a) r (b) -0.2 (c) 0 (d) 1 c Let f = 42.3 + -41.8. Suppose -3*u = p - 6*p + 17, 0 = -p - 2*u - 7. Which is the second smallest value? (a) -5 (b) f (c) 1.8 (d) p b Let g = 2288 + -2292. Let c = -170 + 1188/7. What is the smallest value in g, -3/7, 5, c? g Let q be (-60)/35*(-2)/4. Let y = -319 + 318.8. What is the fourth smallest value in y, q, -1/7, 6? 6 Let g be (7 - 5) + -6 - 11. Which is the second smallest value? (a) g (b) 10 (c) 0 c Let t be (7/((-28)/(-2))*-8)/4. Let r = 0.37 - 0.07. Let z = r - 0.8. Which is the second smallest value? (a) t (b) z (c) -8 a Let r = 10 + -7. Let i = 40 - 36.7. Let t = i - 3.5. What is the smallest value in t, 2/5, r? t Let x = -124 - -242. Let f = x - 115. Let j = 0.36 + -0.06. Which is the third biggest value? (a) f (b) j (c) -3 c Let s = 1/260 + 511/2340. Let z = -2258 + 2258.5. What is the smallest value in z, 2, 0.4, s? s Let k = -972 + 1075. Which is the second smallest value? (a) 1/6 (b) -2 (c) k a Let i be 1 - 10/3 - -2. Let f = 1820 - 1816. What is the second smallest value in f, 2/9, i? 2/9 Let l be 18 + 1729/(-98) + 2/4. What is the third smallest value in -10, l, 1? 1 Let w = -4.88 + -0.12. Let g = 9 + w. What is the second smallest value in -1, g, -3/5? -3/5 Let x = -377.9 + 362. Let o = 15.7 + x. What is the second biggest value in -1, -3, o? -1 Let d be (8/66)/2*-3. Let w = 66 + -63. Let x = -4.111 - -0.111. What is the second biggest value in x, w, d? d Let q = -5.4 - -5. Let u = -0.8 - q. Let s = 32.4 + -32. What is the biggest value in 5, u, s? 5 Let h = 90795/17 - 5341. Let z = 3.5 - -0.5. Which is the smallest value? (a) z (b) h (c) -0.01 b Let k = 23 + -20. Let x be k/6 - 24/112. Which is the third smallest value? (a) 0.4 (b) -7 (c) x a Suppose -3*a - 18 = 21. Let f = a + 49/4. Let o = 0 + -0.5. What is the second smallest value in f, o, 0.2? o Let x = 498 - 524. What is the third biggest value in 1, x, -6? x Let m be 153/714*7/6. What is the smallest value in -1, -2/9, 3, m? -1 Let z = 14/31 - -23/155. Which is the third smallest value? (a) 25 (b) -2/3 (c) z a Suppose 508 + 654 = 83*m. Let l = 1/357 - -701/4641. Which is the fourth smallest value? (a) l (b) 4/7 (c) 2/5 (d) m d Let r = 459 - 459. Let h = -54/77 + 14/11. Let u = -3.94 - 0.06. What is the second biggest value in r, u, h? r Let j = -63 - -39. Let l = j + 26. Which is the smallest value? (a) 3 (b) 1 (c) l b Let r = -3791/11 + 345. Which is the biggest value? (a) r (b) -2 (c) -0.4 (d) 5 d Let u = -101 - -96. Which is the smallest value? (a) -7 (b) 2 (c) u a Let o = 58 + -57.8. Let b = 3 + -3. Let m = -5 - -4.6. What is the smallest value in m, o, b? m Suppose 0*z + 15*z = -75. Let s = -0.6 - -1. Which is the third biggest value? (a) 0.1 (b) s (c) z c Suppose 2*y = -11 + 9. Let s(w) = -6*w - 1. Let f be s(y). Which is the second biggest value? (a) f (b) -4/3 (c) -3 b Let a = -6.4 + 6.337. Let v = -1.137 + a. What is the smallest value in v, 2, 0.4? v Let i = 194.2 - 194. Let p = 7 - 4.8. Let m = i - p. Which is the third smallest value? (a) m (b) -4 (c) -5 a Let s = -3331 - -3327. Let k = -0.4 + 2.4. Which is the fourth biggest value? (a) 5 (b) 3 (c) s (d) k c Let o be ((-2)/16)/(65/30 - 2). Which is the biggest value? (a) o (b) 0 (c) -1/3 (d) -1 b Suppose 1
{ "pile_set_name": "DM Mathematics" }
gl when three letters picked without replacement from {l: 2, g: 5}? 1/21 Two letters picked without replacement from {w: 4, o: 1, j: 2, b: 3, n: 2}. What is prob of sequence nb? 1/22 What is prob of sequence hhtu when four letters picked without replacement from {t: 1, k: 1, h: 3, u: 1, o: 1}? 1/140 Calculate prob of sequence loz when three letters picked without replacement from ohzlh. 1/60 Two letters picked without replacement from {b: 8, i: 6, s: 3}. Give prob of sequence ii. 15/136 Calculate prob of sequence lt when two letters picked without replacement from {d: 1, t: 1, l: 1, p: 1, n: 1}. 1/20 Calculate prob of sequence oxo when three letters picked without replacement from {o: 7, x: 5}. 7/44 What is prob of sequence ln when two letters picked without replacement from {z: 2, l: 4, h: 1, n: 1, y: 4, d: 3}? 2/105 What is prob of sequence ttte when four letters picked without replacement from {j: 1, e: 11, t: 3}? 11/5460 What is prob of sequence kqko when four letters picked without replacement from qojkqkjqjjokik? 3/1001 What is prob of sequence do when two letters picked without replacement from uoooudutuooutofo? 7/240 What is prob of sequence ara when three letters picked without replacement from qmmrqrarrrararqra? 2/85 What is prob of sequence iha when three letters picked without replacement from {x: 7, i: 2, a: 1, h: 2}? 1/330 What is prob of sequence zq when two letters picked without replacement from {d: 4, q: 3, z: 2}? 1/12 Calculate prob of sequence mmss when four letters picked without replacement from ssssmgmwogmawm. 6/1001 Two letters picked without replacement from tdlliidtddthiitdihh. What is prob of sequence dl? 5/171 Four letters picked without replacement from eeoyooaatmya. What is prob of sequence aoem? 1/660 Calculate prob of sequence kyy when three letters picked without replacement from {y: 2, g: 3, d: 1, v: 5, k: 1}. 1/660 What is prob of sequence nbn when three letters picked without replacement from {c: 8, b: 1, n: 2, i: 5}? 1/1680 Calculate prob of sequence tgh when three letters picked without replacement from {f: 2, h: 1, g: 1, t: 1}. 1/60 Calculate prob of sequence mr when two letters picked without replacement from {m: 8, r: 3}. 12/55 Three letters picked without replacement from opoooooo. Give prob of sequence ooo. 5/8 Calculate prob of sequence ux when two letters picked without replacement from {r: 2, u: 1, a: 6, x: 2, b: 1}. 1/66 What is prob of sequence kk when two letters picked without replacement from kkipdpk? 1/7 Two letters picked without replacement from {l: 5, n: 3, i: 1}. What is prob of sequence in? 1/24 Four letters picked without replacement from npjnpjrrmsjrjmrnrrp. What is prob of sequence rmnp? 3/2584 Four letters picked without replacement from sszzsssszssdzszssdss. What is prob of sequence dzzs? 13/2907 What is prob of sequence dd when two letters picked without replacement from {d: 3}? 1 Three letters picked without replacement from duaaaaaadmuaaa. Give prob of sequence mdd. 1/1092 What is prob of sequence ssod when four letters picked without replacement from sqosdddd? 1/210 Calculate prob of sequence qqx when three letters picked without replacement from {q: 4, x: 3}. 6/35 Three letters picked without replacement from hdhdhhhhhh. Give prob of sequence dhd. 1/45 Calculate prob of sequence mii when three letters picked without replacement from yuiimzyyijiiuiyy. 1/112 Two letters picked without replacement from {r: 4, w: 1, h: 6, g: 2, p: 2, f: 4}. Give prob of sequence fh. 4/57 Two letters picked without replacement from {t: 4, n: 7, p: 1, s: 6}. What is prob of sequence st? 4/51 Three letters picked without replacement from rollolhghho. Give prob of sequence lol. 1/55 Three letters picked without replacement from {s: 2, h: 3}. Give prob of sequence shs. 1/10 What is prob of sequence lle when three letters picked without replacement from {l: 7, e: 5, f: 7}? 35/969 Calculate prob of sequence yih when three letters picked without replacement from ihyvkhj. 1/105 What is prob of sequence ii when two letters picked without replacement from {f: 3, i: 2, d: 4, m: 1, w: 1, a: 1}? 1/66 Two letters picked without replacement from ffzfffzfffzfzz. What is prob of sequence zz? 10/91 What is prob of sequence uuu when three letters picked without replacement from {u: 9, s: 11}? 7/95 Four letters picked without replacement from umuiuuklulumlfumiuu. Give prob of sequence iimu. 3/5168 What is prob of sequence iuyu when four letters picked without replacement from {q: 2, i: 3, y: 3, u: 2, w: 3}? 3/2860 Four letters picked without replacement from {p: 1, i: 6, h: 1, k: 3, d: 4}. What is prob of sequence iphk? 1/1820 What is prob of sequence uj when two letters picked without replacement from qajtabjut? 1/36 Two letters picked without replacement from ztii. Give prob of sequence iz. 1/6 Calculate prob of sequence yb when two letters picked without replacement from {u: 3, b: 1, i: 3, y: 5}. 5/132 Calculate prob of sequence fpm when three letters picked without replacement from hhfhfmp. 1/105 Two letters picked without replacement from {t: 1, o: 1, a: 1, z: 1, p: 2, f: 1}. What is prob of sequence of? 1/42 Calculate prob of sequence wqq when three letters picked without replacement from wqq. 1/3 Calculate prob of sequence oeen when four letters picked without replacement from {u: 2, n: 1, e: 4, o: 3}. 1/140 What is prob of sequence dqkk when four letters picked without replacement from kuckcuqd? 1/840 Two letters picked without replacement from {s: 2, f: 2, w: 8, t: 2, r: 1, h: 2}. Give prob of sequence ht. 1/68 What is prob of sequence qkil when four letters picked without replacement from {q: 2, l: 1, i: 1, k: 7, u: 4, y: 4}? 7/46512 Calculate prob of sequence wwc when three letters picked without replacement from {c: 7, w: 9}. 3/20 Four letters picked without replacement from {r: 3, t: 2, n: 2, l: 2, a: 1, b: 2}. What is prob of sequence rbtb? 1/990 Four letters picked without replacement from dddddddddd. What is prob of sequence dddd? 1 Four letters picked without replacement from lllellleeellelllle. What is prob of sequence elle? 11/204 Calculate prob of sequence afbf when four letters picked without replacement from {a: 2, b: 4, f: 4}. 2/105 Four letters picked without replacement from mmzzmmzzmmmzmmzmzzz. Give prob of sequence mzmm. 45/646 Two letters picked without replacement from {l: 2, v: 1, c: 2, x: 1, n: 2, e: 4}. What is prob of sequence xe? 1/33 Calculate prob of sequence uwnw when four letters picked without replacement from wnnwnnmu. 1/210 Calculate prob of sequence hx when two letters picked without replacement from oxthbxo. 1/21 Four letters picked without replacement from unnnuusnunnun. What is prob of sequence suun? 7/858 What is prob of sequence kkkh when four letters picked without replacement from kkkkhhkkhk? 1/8 What is prob of sequence cntb when four letters picked without replacement from {c: 1, t: 1, u: 2, n: 2, b: 2, r: 1}? 1/756 What is prob of sequence sss when three letters picked without replacement from {u: 10, j: 1, s: 8}? 56/969 Calculate prob of sequence bbb when three letters picked without replacement from bbubububbwwuubww. 1/16 What is prob of sequence avca when four letters picked without replacement from {q: 9, a: 2, v: 3, c: 2, f: 3}? 1/7752 What is prob of sequence up when two letters picked without replacement from {u: 2, p: 5, w: 2, z: 1, n: 2, l: 1}? 5/78 Three letters picked without replacement from {p: 3, j: 2, z: 1, x: 1, d: 5}. Give prob of sequence jdx. 1/132 What is prob of sequence egae when four letters picked without replacement from jjjjutgeuejeaeututt? 1/7752 What is prob of sequence mxx when three letters picked without replacement from {m: 1, x: 11}? 1/12 Two letters picked without replacement from {g: 3, y: 8}. Give prob of sequence yy. 28/55 Four letters picked without replacement from kwkkwwwwkhk. Give prob of sequence khkk. 1/132 Four letters picked without replacement from {n: 1, z: 6, p: 1, e: 1}. What is prob of sequence enzp? 1/504 Two letters picked without replacement from {x: 8, q: 1, r: 4}. What is prob of sequence qx? 2/39 Two letters picked without replacement from {h: 2, r: 2, q: 1, g: 5, l: 5, y: 5}. What is prob of sequence ql? 1/
{ "pile_set_name": "DM Mathematics" }
/204 Three letters picked without replacement from {p: 1, r: 4, z: 3}. What is prob of sequence zrp? 1/28 Three letters picked without replacement from yiiiuuuyyuhiiuhuuui. Give prob of sequence yyy. 1/969 Calculate prob of sequence sd when two letters picked without replacement from dllsssdsdsl. 3/22 What is prob of sequence at when two letters picked without replacement from {t: 4, a: 2, y: 1, u: 2, d: 2, m: 4}? 4/105 Calculate prob of sequence wcc when three letters picked without replacement from ccccwocwccxccc. 15/182 Calculate prob of sequence ll when two letters picked without replacement from {w: 7, l: 2}. 1/36 Calculate prob of sequence fyf when three letters picked without replacement from {f: 6, y: 7}. 35/286 Calculate prob of sequence bb when two letters picked without replacement from mbbbbmbb. 15/28 Calculate prob of sequence cw when two letters picked without replacement from {w: 2, b: 6, c: 4}. 2/33 Four letters picked without replacement from gggggxgxggggg. What is prob of sequence gggx? 3/26 Four letters picked without replacement from iiivyivvvx. Give prob of sequence vviv. 2/105 Calculate prob of sequence hh when two letters picked without replacement from dmorchocrcr. 0 What is prob of sequence dq when two letters picked without replacement from {w: 1, y: 4, q: 4, d: 6, g: 5}? 6/95 Three letters picked without replacement from sssgggssssg. What is prob of sequence sss? 7/33 Two letters picked without replacement from vxvixpvttavtv. What is prob of sequence ax? 1/78 Calculate prob of sequence nnvn when four letters picked without replacement from nhanaaavhaxn. 1/1980 Calculate prob of sequence ccc when three letters picked without replacement from eeeceeeeczeceazwc. 1/170 Two letters picked without replacement from mayaraxrraxrarx. What is prob of sequence ma? 1/42 What is prob of sequence wwo when three letters picked without replacement from pwpwoowpxppxxwx? 4/455 What is prob of sequence ggss when four letters picked without replacement from sgssslgzgsgzzsssgls? 5/323 Four letters picked without replacement from wkjldxx. What is prob of sequence wkjd? 1/840 What is prob of sequence pe when two letters picked without replacement from bexuuuuuuebubpppuxe? 1/38 Two letters picked without replacement from {b: 3, v: 5}. Give prob of sequence bv. 15/56 Four letters picked without replacement from {d: 16, e: 2}. Give prob of sequence eddd. 14/153 What is prob of sequence oj when two letters picked without replacement from yyyjuyyoi? 1/72 What is prob of sequence huu when three letters picked without replacement from hhhhuuuuuuuuuhuuhuu? 52/323 Two letters picked without replacement from mmmmmmmmm. What is prob of sequence mm? 1 Four letters picked without replacement from {h: 3, w: 2, u: 3}. What is prob of sequence uwhh? 3/140 Three letters picked without replacement from yvtvytttvtyvtyt. What is prob of sequence tyy? 2/65 Calculate prob of sequence ul when two letters picked without replacement from {o: 4, u: 1, i: 1, l: 5, k: 2, d: 2}. 1/42 Calculate prob of sequence lln when three letters picked without replacement from {s: 2, l: 4, n: 10}. 1/28 Two letters picked without replacement from {m: 3, a: 2, b: 5}. Give prob of sequence mb. 1/6 Three letters picked without replacement from {c: 3, u: 2, d: 1, f: 4}. Give prob of sequence fdc. 1/60 Three letters picked without replacement from {p: 3, m: 12}. Give prob of sequence ppp. 1/455 Calculate prob of sequence xx when two letters picked without replacement from ccpcerxxccxx. 1/11 What is prob of sequence nnnn when four letters picked without replacement from {v: 3, n: 4}? 1/35 What is prob of sequence uuu when three letters picked without replacement from {r: 2, g: 2, q: 3, f: 1, u: 4}? 1/55 Two letters picked without replacement from imruroo. What is prob of sequence mi? 1/42 Calculate prob of sequence oco when three letters picked without replacement from ooco. 1/4 Two letters picked without replacement from dkmd. What is prob of sequence mk? 1/12 Calculate prob of sequence qxqq when four letters picked without replacement from ttqqtqtttqqqqxttqxq. 7/646 Three letters picked without replacement from {p: 6}. Give prob of sequence ppp. 1 Three letters picked without replacement from hhhhhhhhh. Give prob of sequence hhh. 1 Calculate prob of sequence yytt when four letters picked without replacement from {t: 7, y: 2}. 1/36 Four letters picked without replacement from sscws. Give prob of sequence swcs. 1/20 Two letters picked without replacement from nowknkoowkowkwo. What is prob of sequence wn? 4/105 What is prob of sequence mmm when three letters picked without replacement from mmm? 1 Calculate prob of sequence deqd when four letters picked without replacement from {d: 2, e: 3, q: 10}. 1/546 Four letters picked without replacement from qqqqqzzqqqq. Give prob of sequence qqqq. 21/55 Three letters picked without replacement from xxxxxxx. What is prob of sequence xxx? 1 What is prob of sequence qk when two letters picked without replacement from {k: 3, q: 1, e: 3}? 1/14 Two letters picked without replacement from {x: 2, g: 10, n: 6}. Give prob of sequence gx. 10/153 Calculate prob of sequence tq when two letters picked without replacement from ftqftftqtqqt. 5/33 What is prob of sequence meee when four letters picked without replacement from {m: 2, d: 11, l: 2, e: 4}? 1/1938 What is prob of sequence gq when two letters picked without replacement from {q: 3, g: 9}? 9/44 What is prob of sequence zazx when four letters picked without replacement from {x: 1, a: 1, s: 10, n: 1, z: 1}? 0 What is prob of sequence xx when two letters picked without replacement from xuuuuuuuuxxuxu? 6/91 Calculate prob of sequence sg when two letters picked without replacement from gtekggewkskk. 1/44 What is prob of sequence uwu when three letters picked without replacement from {w: 8, u: 2, m: 8}? 1/306 Three letters picked without replacement from {a: 1, u: 3, x: 3, r: 1, g: 9, y: 1}. What is prob of sequence yux? 1/544 Two letters picked without replacement from ssssmssmmqmsssems. What is prob of sequence me? 5/272 What is prob of sequence zzh when three letters picked without replacement from eeeddzwewwzhxhwxhd? 1/816 Two letters picked without replacement from yflet. Give prob of sequence el. 1/20 Two letters picked without replacement from {y: 3, z: 2, p: 3}. Give prob of sequence yz. 3/28 Three letters picked without replacement from lolvovrorbbrbfflfbb. Give prob of sequence ofv. 1/323 Two letters picked without replacement from umcgk. Give prob of sequence kc. 1/20 Four letters picked without replacement from bbbbbb. Give prob of sequence bbbb. 1 Calculate prob of sequence qs when two letters picked without replacement from {g: 1, s: 1, q: 1, i: 1, y: 1}. 1/20 Calculate prob of sequence ttt when three letters picked without replacement from tttttttttt. 1 Two letters picked without replacement from {c: 3, f: 3, e: 6, r: 5}. Give prob of sequence cf. 9/272 Two letters picked without replacement from qcccoqccocc. What is prob of sequence oq? 2/55 Three letters picked without replacement from {l: 2, i: 4, s: 2, p: 2, b: 3}. Give prob of sequence ppl. 1/429 Calculate prob of sequence xtb when three letters picked without replacement from txbbbbttbt. 1/36 What is prob of sequence pfd when three letters picked without replacement from {p: 1, z: 1, f: 2, i: 1, d: 1, c: 1}? 1/105 Two letters picked without replacement from lzzqzdm. What is prob of sequence zd? 1/14 What is prob of sequence yms when three letters picked without replacement from fyssxffssyfmxyyxp? 1/255 Three letters picked without replacement from caec. What is prob of sequence eca? 1/12 Two letters picked without replacement from nxeeeeeexe. What is prob of sequence en? 7/90 Two letters picked without replacement from {v: 2, t: 4, o: 4, k: 9, m: 1}. Give prob of sequence vv. 1/190 What is prob of sequence yy when two letters picked without replacement from {y: 3, j: 4}? 1/7 Two letters picked without replacement from {o: 9, u: 1, g: 5, d: 1, l: 2}. Give prob of sequence go. 5/34 Two letters picked without replacement from {w: 3, g: 4, f: 6, z: 1}. Give prob of sequence gg. 6/91 Three letters picked without replacement from {k: 4, e: 6,
{ "pile_set_name": "DM Mathematics" }
, 8336961, 12505438, 16673915, 20842392, 25010869? 29179346 What is next in 28514, 28400, 28286, 28172, 28058? 27944 What comes next: 926, 3681, 8272, 14699, 22962? 33061 What is next in -98190, -95972, -93754, -91536, -89318? -87100 What is next in 6406, 6516, 6700, 6958, 7290, 7696, 8176? 8730 What is next in 1235960, 1236039, 1236132, 1236245, 1236384, 1236555? 1236764 What is next in 5, 306, 953, 2066, 3765, 6170? 9401 What is the next term in -9525, -9536, -9545, -9552, -9557, -9560, -9561? -9560 What is the next term in 1773, 5074, 10927, 19620, 31441? 46678 What is next in 3588, 3583, 3562, 3513, 3424, 3283? 3078 What is the next term in 855, 3380, 7471, 13032, 19967, 28180, 37575? 48056 What is the next term in 21336, 170945, 577022, 1367799, 2671508, 4616381, 7330650? 10942547 What comes next: -770, -3137, -7236, -13193, -21134? -31185 What comes next: -377422, -1509191, -3395478, -6036289, -9431630, -13581507? -18485926 What is next in -3501039, -7002079, -10503119, -14004159, -17505199? -21006239 What is the next term in 678, 539, 388, 219, 26? -197 What is the next term in -2071704, -4143413, -6215122, -8286831? -10358540 What is the next term in 353550, 707185, 1060954, 1414923, 1769158, 2123725? 2478690 What is the next term in 365389, 730654, 1095919, 1461184, 1826449, 2191714? 2556979 What is the next term in 237900, 475696, 713390, 950982, 1188472, 1425860? 1663146 What is the next term in -248, -831, -1364, -1835, -2232, -2543? -2756 What comes next: -35305770, -35305772, -35305774, -35305776, -35305778? -35305780 What is next in 566, 670, 734, 758? 742 What comes next: 318715, 318708, 318701, 318694? 318687 What is next in -549229654, -549229655, -549229656, -549229657, -549229658, -549229659? -549229660 What is next in 175526, 351148, 526832, 702608, 878506? 1054556 What comes next: 629691, 629846, 630001, 630156, 630311? 630466 What comes next: -5455, -4179, -2903, -1627, -351? 925 What is next in -8405890, -8405887, -8405884, -8405881, -8405878, -8405875? -8405872 What comes next: -5853732, -11707464, -17561196, -23414928, -29268660, -35122392? -40976124 What is the next term in 278, 1329, 3082, 5537? 8694 What is next in -39243, -78747, -118251, -157755? -197259 What comes next: -377849, -755620, -1133389, -1511156, -1888921, -2266684? -2644445 What is next in -84785, -76354, -67923, -59492, -51061, -42630? -34199 What is the next term in -1348, -1439, -1666, -2101, -2816, -3883, -5374, -7361? -9916 What is the next term in -53538, -53497, -53456, -53415? -53374 What comes next: 610654, 1221635, 1832616, 2443597? 3054578 What is the next term in -958501, -1917007, -2875511, -3834013, -4792513, -5751011, -6709507? -7668001 What is the next term in -2357387, -2357378, -2357369, -2357360? -2357351 What is the next term in 269218, 270361, 272260, 274909, 278302? 282433 What is next in 313956, 627580, 941202, 1254822, 1568440? 1882056 What is next in 1657, 3132, 4541, 5854, 7041, 8072, 8917, 9546? 9929 What is next in -1525841, -1525791, -1525711, -1525601? -1525461 What comes next: -11650, -48035, -108676, -193573, -302726, -436135? -593800 What is next in 18021131, 18021133, 18021135, 18021137, 18021139, 18021141? 18021143 What is next in 249022, 249026, 249034, 249046, 249062, 249082, 249106? 249134 What is next in -126207, -126111, -126015, -125919, -125823? -125727 What is the next term in -1688313, -3376711, -5065109, -6753507, -8441905? -10130303 What is next in 11333401, 22666803, 34000205, 45333607, 56667009? 68000411 What comes next: 6095, 24161, 53815, 94685, 146399, 208585, 280871, 362885? 454255 What is the next term in 42061, 42089, 42117? 42145 What is next in -4126, -10502, -21092, -35896, -54914? -78146 What is the next term in -24580, -49289, -73968, -98617, -123236, -147825, -172384? -196913 What comes next: -106970, -213920, -320854, -427772, -534674? -641560 What is next in 72287030, 144574061, 216861092, 289148123, 361435154, 433722185? 506009216 What is next in 681, 2917, 6639, 11841, 18517, 26661, 36267? 47329 What is next in 46366, 46336, 46304, 46270, 46234, 46196? 46156 What comes next: 4944, 19170, 42880, 76074? 118752 What is next in -36335, -36376, -36379, -36338, -36247, -36100, -35891? -35614 What comes next: -103498, -207197, -310896, -414595, -518294? -621993 What is next in 90534, 181190, 271868, 362574, 453314? 544094 What comes next: -177, -748, -1765, -3270, -5305? -7912 What is next in 42972, 86189, 129398, 172593, 215768, 258917, 302034, 345113? 388148 What is next in 11216721, 22433443, 33650165, 44866887, 56083609, 67300331? 78517053 What comes next: -13985, -27772, -41461, -55058, -68569, -82000? -95357 What comes next: 7608, 30469, 68568, 121905, 190480, 274293, 373344? 487633 What is next in -217261, -869065, -1955411, -3476299, -5431729, -7821701? -10646215 What comes next: 232632, 232416, 231850, 230760, 228972, 226312, 222606, 217680? 211360 What is the next term in -159995, -320440, -480885, -641330, -801775? -962220 What comes next: -16891, -67558, -152003, -270232, -422251, -608066, -827683, -1081108? -1368347 What is next in -150785, -150214, -149643? -149072 What is next in -50949, -101900, -152851, -203802, -254753? -305704 What is next in 11250180, 22500342, 33750504, 45000666, 56250828, 67500990? 78751152 What comes next: 413301, 413203, 413105, 413007, 412909? 412811 What comes next: -124553, -124572, -124591, -124610, -124629? -124648 What comes next: 47260, 47418, 47574, 47728? 47880 What is the next term in 384017, 768073, 1152129, 1536185, 1920241? 2304297 What is next in -147, 334, 1663, 4272, 8593? 15058 What comes next: 194100, 385434, 576768, 768102? 959436 What is next in 8095, 16124, 24139, 32134, 40103? 48040 What is the next term in 7623, 10928, 9911, 4572, -5089, -19072? -37377 What comes next: -5446, -10803, -16060, -21217? -26274 What is the next term in -723, -472, -225, 18, 257, 492? 723 What is next in -18782, -37568, -56378, -75230, -94142, -113132? -132218 What is next in -81, -214, -317, -294, -49, 514, 1491? 2978 What is next in -1, 43, 87, 131, 175, 219? 263 What is next in -37163, -47489, -57813, -68135, -78455, -88773, -99089? -109403 What comes next: 1882, 4472, 7790, 11836, 16610? 22112 What is the next term in 359083, 718128, 1077173, 1436218, 1795263? 2154308 What comes next: -653529, -653315, -653101, -652887, -652673, -652459? -652245 What comes next: 1158674, 2317284, 3475784, 4634120, 5792238, 6950084? 8107604 What is next in -10945253, -10945217, -10945181, -10945145? -10945109 What is next in -17189, -17250, -17311, -17372, -17433? -17494 What is next in 5709, 11713, 18319, 25827, 34537? 44749 What is next in 659365440, 659365438, 659365436? 659365434 What is next in -371, -339, -289, -221? -135 What is the next term in 2087318, 2087237, 2087156, 2087075, 2086994, 2086913? 2086832 What is next in -531, -2681, -6453, -11847? -18863 What is next in -7797, -7357, -6911, -6453, -5977, -5477, -4947, -4381? -3773 What comes next: -21970, -15316, -8660, -2002? 4658 What is the next term in -7266, -28753, -64562, -114693, -179146, -257921? -351018 What is next in -120919, -487185, -1097633, -1952269, -3051099? -4394129 What is the next term in 131638374, 131638364, 131638352, 131638338, 131638322, 131638304? 131638284 What comes next: -262, -1389, -4426, -10333, -20070, -34597, -54874? -81861 What is next in 14916845, 14916844, 14916843, 14916842, 14916841, 14916840? 14916839 What is next in 12946056, 51784217, 116514494, 207136893, 323651420, 466058081, 634356882, 828547829? 1048630928 What is next in 8905, 9005, 9163, 9373, 9629, 9925, 10255, 10613? 10993 What comes next: 2760, 5012, 8762, 14016, 20780, 29060? 38862 What comes next: -655557, -656503, -657449, -658395? -659341 What is next in 10361855, 10361855, 10361853, 10361849? 10361843 What is next in -8759, -19584, -30409, -41234, -52059, -62884? -73709 What is the next term in 432757, 865518, 1298279, 1731040? 2163801 What is the next term in -1705933, -1705920, -1705909, -1705900, -1705893, -1705888? -1705885 What comes next: 2615, 9728, 21593, 38204, 59555? 85640 What is next in -94081, -94048, -94015, -93982, -93949? -93916 What comes next: 258197, 1032808, 2323825, 4131248? 64
{ "pile_set_name": "DM Mathematics" }
)*(-2 - 1 + 5) - 4*h + 0*h + 5*h. -15*h Expand 3*o**3 - 38*o**3 - 3*o**3 + (1 + 0 + 1)*(o**3 + 0*o**2 + 0*o**2). -36*o**3 Expand (4 - 4 + 3*j)*(0*j**2 + 0*j**2 - 2*j**4). -6*j**5 Expand 2*d**3 - 4*d**3 + 4*d**3 + (-4 + 4 + d**2)*(1 - 1 + 2*d) + (-d - 4 + 4)*(-5*d**2 + 3*d**2 + 7*d**2). -d**3 Expand (-a - 1 + 1 - 1 + a + 1 + (3*a - a + 0*a)*(-1 + 0 + 0) - 1 + 1 - 2*a + 2*a + 0*a - 4*a + 7*a - 15*a - 8*a)*(-4*a**3 + 3*a**3 + 0*a**3). 22*a**4 Expand (4 - 4 + 4*w**2)*(w**3 + 0*w**3 + 0*w**3) - 31*w + 31*w - 17*w**5 - 2*w**4 + 2*w**5 + 2*w**4. -11*w**5 Expand (-3 - 8*n + 3)*(1 - 7*n - 1 + 2). 56*n**2 - 16*n Expand (1 + 5*o**3 - 1)*(o**2 + 2*o**2 + o**2 + o - o + o**2 + (o + 2*o - 5*o)*(0 - 2*o + 0) - 3 + 2*o**2 + 3). 55*o**5 Expand (4*z**2 + 12*z**2 + 0*z**2)*(z**3 + 0*z**2 + 0*z**2). 16*z**5 Expand (-3 + 1 + 3)*(0*p + 4*p - 6*p) - 2*p - 4*p + 3*p + 0*p + 2*p + 0*p + (4 + 0 - 2)*(2*p - 3*p - p) + 2*p + p - 4*p. -8*p Expand 0*q**2 + 5*q**2 - 3*q**2 + (0*q + 0*q - q)*(-4*q + q + q) + (4 - 5 - 3)*(-3*q**2 + 2*q**2 + 3*q**2). -4*q**2 Expand 0*z**2 + z**3 + 0*z**2 + (-2*z + 1 - 1)*(-2*z + z**2 + 2*z) - z**3 + 3*z**3 - 4*z**3 + (-6*z**2 + z**2 + 3*z**2)*(3*z - 2*z + z). -7*z**3 Expand (5 + b - 5)*(-2 + 2 + 1) + (2 - 2 - 1)*(4*b - 2*b + 0*b). -b Expand (1 - 3 + 0)*(-r + r + 2*r) + 2*r - 2 + 2 + (-r + r - 4*r)*(1 + 0 - 3). 6*r Expand 3*l**3 - 5*l + 5*l + 1 + (2*l**2 - l**2 - 2*l**2)*(-1 - l + 1) + l**2 - 3*l**3 - l**2. l**3 + 1 Expand (-5*r + 0*r + r)*(-5 + 4 - 1). 8*r Expand (-1 + 0 - 3)*(6 - 2 + 0)*(-2*t + t + 0*t). 16*t Expand (0 + 2*t + 0)*(-4*t**2 + 0*t**2 + 2*t**2) + 0*t**3 - 4*t**3 - 3*t**3. -11*t**3 Expand -3*j**2 - j**2 + 3*j**2 + (-j - j + 3*j)*(-2*j + 3*j + j) - 3*j**2 + 2*j**2 - j**2 - j**2 + 2*j**2 - 3*j**2 + (-3 + j + 3)*(-2*j + 1 - 6*j + 0*j). -11*j**2 + j Expand (-2 + 2 - 4*k)*(2*k + 0*k - k) + 4*k**2 + 4*k**2 - 6*k**2. -2*k**2 Expand (3 - 3*h - 3)*(2*h + h - 2*h)*(-9*h - 510 + 510). 27*h**3 Expand (1 + 1 + 0)*(-3*g**5 + 0*g**5 + 2*g**5) + g**5 - 3*g**5 + 3*g**5 - 58*g**5 + 49*g**5 - 83*g**5. -93*g**5 Expand (4*p**3 - 4*p**3 + 2*p**3 + (0*p - p - p)*(1 - p**2 - 1) + p**3 - 2*p + 2*p + 5*p**3 - p**3 - 2*p**3)*(9 - 1 + 7). 105*p**3 Expand (5*a - a + 8*a)*(-3 + 3 - 1). -12*a Expand (-100*p - 13*p**2 + 100*p)*(0 + 1 + 1 + (-5 + 1 + 2)*(0 - 2 + 0) + 0 + 1 + 0 - 4 + 3 - 1). -65*p**2 Expand (-2*q - 1 + 4*q - 3*q)*(0*q + q - 2*q)*(-11*q - 20*q + 11*q). -20*q**3 - 20*q**2 Expand (2*n + 3 - 3)*(4*n**3 + 31*n**3 - 2*n**2 - 14*n**3). 42*n**4 - 4*n**3 Expand (1 + 3 - 6)*(-52*t - t**2 - 3 + 105*t - 55*t). 2*t**2 + 4*t + 6 Expand (4*v - 4*v - v)*(-1 + 1 + 3)*(-7 + 15 + 3) + (3 - 3 + v)*(-2 + 4 - 4). -35*v Expand (-3*p**2 + 3*p**2 - 2*p**2)*(2 - 2*p**3 - 2) - 15*p**5 - 15*p**5 + 46*p**5 + (-p + 2*p - 3*p)*(5*p**2 - 5*p**2 - 2*p**4). 24*p**5 Expand (-3*l**2 + 5*l - 5*l)*((4 + 0 - 6)*(0 + 0 + 1) + (2 - 6 + 2)*(1 - 5 + 1)). -12*l**2 Expand (14 + 29 + 21)*(0*h + 5*h - 4*h). 64*h Expand (6 - 2 - 2)*(-c**2 + c**2 + c**2) + 5*c**2 - 3*c - c**2 + 2*c - 1 - 2*c**2 + 1. 4*c**2 - c Expand -2*t + 2*t + t**4 + (-t**3 + t**3 + t**3 + (-2 + 0 + 4)*(2*t**3 - 3*t**3 + 0*t**3))*(5*t + t + 5*t). -10*t**4 Expand 2*w**3 + 2*w**3 - 2*w**3 + (-3 - 1 + 0)*(2*w**3 - 3*w + 3*w) + 2*w**3 + w**2 - w**2. -4*w**3 Expand -3*t + 0*t + t + (t + 2*t - 5*t)*(-4 + 0 + 3) - 2*t + 2*t + t + 0*t - 3*t + t. -t Expand (36*u - 36*u + 10*u**3)*(0 + 1 + 1). 20*u**3 Expand -8*b - 2*b**3 + 8*b - 5*b**5 + 0*b**2 + 0*b**2 + b**5 + (-2 - b**3 + 2)*(0*b + 0*b - 2*b**2). -2*b**5 - 2*b**3 Expand (-2 - 1 + 2)*(i + 0*i - 2*i) + i + 3*i - 3*i. 2*i Expand (z + 2 - 2)*(3*z - 3*z + z) + 0*z**2 + 0*z**2 + 2*z**2 + 3 + z**2 - 3 - z**2 - 4 + 4 + 21*z**2 + 0*z**2 + 0*z**2. 24*z**2 Expand (a + a - 3*a)*(-9 + 9 - 9*a). 9*a**2 Expand (-2*c**2 + 0 + 0 + 2*c - 3*c**2 - 2*c + (3 + 1 - 2)*(2*c - c**2 - 2*c) + c**2 + 0*c**2 + c**2)*(-1 + 1 - c). 5*c**3 Expand (-5*n + 2*n + n)*(15*n**3 + 30*n**3 - 2*n**3 - 2*n**2). -86*n**4 + 4*n**3 Expand (6*m**2 - m**2 - 3*m**2)*(-4*m**2 + m**2 + m**2) + 2*m - 2*m + 2*m**4 + (m**2 - m**2 - 2*m**2)*(-3*m - 3*m**2 + 3*m). 4*m**4 Expand k**2 + 2*k**3 - k**2 + (-6 + 5 + 5)*(0*k**3 + 3*k**3 - 2*k**3) + 1 - 1 + 2*k**3 + (2*k + 5*k - 5*k)*(-3 + 3 - 2*k**2) + 5*k**3 - 3*k**3 - k**3. 5*k**3 Expand (-2 + 4*i + 2)*(1 - 1 - 1)*(-2*i + 2 - 2). 8*i**2 Expand (0 - 6 + 2)*(1 + 2 - 1)*(-3*f + f + 3*f). -8*f Expand (-2 - 2 + 5)*(-2 + 1 - 1)*(26 + 3*f - 26). -6*f Expand 5*c**5 + 14*c**3 - 14*c**3 + (-2 + 2 - c)*(-5*c**4 + 3*c**4 + 0*c**4). 7*c**5 Expand g - 2*g**3 - g + (8*g**2 + 0*g**2 + 5*g**2)*(0*g + 0*g + 1 + 2*g). 24*g**3 + 13*g**2 Expand (8*i**2 - 2*i + 2*i)*(-1 + 2 + 0)*(-1 + 5 - 3). 8*i**2 Expand (-1 - 3 + 2)*(3*g**5 + 0*g**5 - 2*g**5) + 14*g**5 - g**5 - 7*g**5. 4*g**5 Expand 0 + 0 + 2*h - h + 4*h - 4*h - 2*h + h - h + (5 - 2 - 1)*(4*h + 0*h - 3*h) + 0*h + 3*h - h + 13*h - 8*h - 3*h. 5*h Expand 3*z**4 + 4*z**3 - 4*z**3 + (-z**2 - 2*z**2 - 2*z**2)*(0*z**2 - 4*z**2 + 2*z**2). 13*z**4 Expand (1 + 2 - 4 - 3 + 0 + 2 + (2 - 2 - 1)*(0 - 3 + 4) + 0 - 4 + 5)*(-2*k**3 + 2*k**3 - k**3). 2*k**3 Expand (-3*d + 2*d + 0*d)*(-8 + 8*d + 8). -8*d**2 Expand (-4*h**4 + 4*h**4 + 2*h**4 + (h - h + 2*h**2)*(5*h**2 + 0*h**2 - 3*h**2) + 3*h**4 + h**4 - 6*h**4 + 1 - 1 + 2*h**4)*(-1 + 0 + h + 0). 6*h**5 - 6*h**4 Expand (5*t - 4*t - 4*t)*(1 - 2 + 0)*(-2 - 1 - 1). -12*t Expand (-5*g + 0*g + g)*(-5 + 0 + 2*g + 4). -8*g**2 + 4*g Expand (-5 + 2 + 1)*(-2*d**2 + 4*d - 4*d) - 2*d**2 + 2*d**2 + 5*d**2. 9*d**2 Expand -c**4 - 3*c**5 + c**4 + (0*c**3 - 2*c**3 + c**3)*(-3*c**2 - 5*c**2 + 6*c**2) - c**5 - 31 + 31. -2*c**5 Expand (-2*q**2 + 0*q**2 + q**2)*(5*q**2 + 0*q**2 - 3*q**2) + (-2*q**2 + 0*q**2 - q**2)*(0*q**2 - q**2 + 0*q**2). q**4 Expand (q + 0 + 0)*(-q**2 + 13*q - 13*q - 2*q + 3*q**2 + 2*q + (3 - 2*q - 3)*(q - q - 2*q) + 0 + q**2 + 0 + 3 + 2*q**2 - 3). 9*q**3 Expand (1 + 2*x**2 - 1)*(3*x + 3*x + x) + 2*x**3 + 1 - 1 + (-2*x**2 + 3*x - 3*x)*(-3*x + 2*x - x). 20*x**3 Expand 4*s + s - 3*s + (s - 4*s - 2*s)*(-3 + 1 - 1). 17*s Expand ((0 + 1 - 3)*(0 + 5 - 3) - 7 - 11 + 0)*((-2 + 0 + 3)*(-2 + 2 + s) - 2*s + 2*s - 2*s). 22*s Expand 4*b**3 - 3*b**3 + b**3 + (b + 3*b - b)*(3*b**2 + 2*b**2 - 4*b**2). 5*b**3 Expand -3*d**4 - d**4 + 2*d**4 + (d - 2*d - d)*(0 + 0 - 2*d**3) + 3*d**4 - 5*d**3 + 5*d**3 - 2*d**4 + d**4 + 3*d**4 + 0*d**4 - 2*d**4 + 0*d**4. 5*d**4 Expand (5 - 5 - 2*o + (-o + 0*o + 3*o)*(4 - 5 + 0))*(o + 3 - 3). -4*o**2 Expand 0*h**3 - h**3 + 2*h**3 + (2*h + 2*h - 2*h)*(0*h**2 - 3*h**2 + h**2). -3*h**3 Expand (0*a**2 - 4*a**2 - a**2)*(3*a**3 - 3*a**3 - 3*a**3). 15*a**5 Expand (3 - 2*v**3 - 3 + v**2)*(-25 - 10*v**2 + 25). 20*v**5 - 10*v**4 Expand -5*a - a**2 + 5*a + (2*a + 0*a - 4*a)*(0*a + 4*a - 5*a) + 841*a - 2 - a**2 - 841*a + (-3*a + a + a)*(2 - 2 + 2*a). -2*a**2 - 2 Expand (-5*o**2 + 4*o**2 + 0*o**2)*(3 - 3 - 2*o) + 3*o**3 - o**3 - 3*o**3. o**3 Expand (10 - 7 + 1)*(-w**2 + 3*w**2 - w**2). 4*w**2 Expand (6 - 8 - 18)*(-z**2 - z + z). 20*z**2 Expand (-4*v + 3*v + 0*v)*(-4 + 3 + 3)*(3 + 2 - 2). -6*v Expand -377 + 377 + 14*g**3 + (2 - 2 + 2*g)*(-3 + 3 + 2*g**2) - 4*g**3 + 6*g**3 - 3*g**3. 17*g**3 Expand (2*d + 3*d - 6*d)*(0*d**2 - 2*d**2 + 4*d**2) - 4*d + d**3 + 4*d. -d**3 Expand 4*h + 2*h - 3*h + 4*h - 3*h + 0*h + (2*h - 1 + 1)*(-1 + 3 - 1) - 4*h + 5*h + h - 6*h + 3*h + 2*h - 2 - 2*h + 2. 5*h Expand (-1 - 2*l + 1)*(-3 + 2 + 6)*(-2 + 4 - 4)*(4*l**2 - 2*l**2 + 0*l**2). 40*l**3 Expand -a**3 - a**4 + a**3 + (1 - 1 + 2*a)*(a**2 + 2*a**3 - a**2) + 93*a**4 + 2*a**4 - 2155*a**2 + 2156*a**2. 98*a**4 + a**2 Expand -4*u**3 - 2*u**3 + 5*u**3 + 3*u**3 - 5*u**3 + 4*u**3 + 4*u**2 + 2*u**3 - 4*u**2 + (-u - 2*u + 2*u)*(-4*u**2 + 0*u**2 + 3*u**2) - u**3 + 3*u**3 - 3*u**3. 3*u**3 Expand (0 - 1 + 0)*(0*j + 0*j - 2*j**2) - 64 + 64 + 13*j**2. 15*j**2 Expand (0*k**3 - 2*k**3 + 3*k**3)*(3*k + 3*k - 5*k)*((k + 0*k + 0*k)*(-6 - 15 + 16) + 4 - 4 - k). -6*k**5 Expand (-3 + 5 + 0)*(-2*m + 4*m - 4*m) + 0*m + m + 0*m - 13*m + 27*m + 19*m + 0*m - m - 2 + 1. 29*m - 1 Expand x**5 + 3*x**2 - 3*x**2 + (2 + 4 - 5)*(1 - 1 + x**5) + 3*x**4 - 3*x**4 + 2*x**5 + (3*x - 2*x**3 - 3*x)*(-4*x**2 - 3*x**2 + 5*x**2). 8*x**5 Expand (1 + 3 - 1)*(0*g - g + 0*g) + 1 - g - 1 + 0*g - 4*g + 3*g + (1 + 3 - 2)*(-4*g + g + 2*g). -7*g Expand (0 - 1 + 0)*(-2*v - 3*v + 2*v)*(3 + 2 - 3). 6*v
{ "pile_set_name": "DM Mathematics" }
: 4, f: 10}. 30/143 Three letters picked without replacement from acagagahk. What is prob of picking 1 g, 1 a, and 1 k? 2/21 Two letters picked without replacement from {i: 7, v: 3}. Give prob of picking 1 i and 1 v. 7/15 What is prob of picking 1 o and 1 y when two letters picked without replacement from yoyoybbdooccobc? 1/7 Three letters picked without replacement from {d: 2, g: 2, l: 4, x: 1, o: 1, e: 4}. Give prob of picking 1 d and 2 g. 1/182 What is prob of picking 1 n and 1 u when two letters picked without replacement from ydxnu? 1/10 Calculate prob of picking 1 m and 1 f when two letters picked without replacement from kfmtmtfttkmfkttqtkt. 1/19 Calculate prob of picking 2 j and 1 h when three letters picked without replacement from {x: 1, p: 2, j: 2, h: 1}. 1/20 Calculate prob of picking 1 m, 1 x, and 1 c when three letters picked without replacement from cmxmkemkmmxcvmmkm. 4/85 What is prob of picking 1 k and 1 s when two letters picked without replacement from {s: 7, k: 9}? 21/40 Two letters picked without replacement from iaimlaa. Give prob of picking 1 a and 1 m. 1/7 What is prob of picking 1 r and 3 x when four letters picked without replacement from {r: 3, x: 5}? 3/7 What is prob of picking 1 o and 1 e when two letters picked without replacement from {t: 2, e: 3, k: 1, y: 2, o: 3, s: 1}? 3/22 Calculate prob of picking 1 y and 1 c when two letters picked without replacement from yyjocyyyccybybc. 4/15 Two letters picked without replacement from rrbtprrbrrrp. Give prob of picking 1 b and 1 t. 1/33 Four letters picked without replacement from {r: 3, x: 1, j: 1}. What is prob of picking 3 r and 1 j? 1/5 Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {a: 11, m: 2}. 11/39 Two letters picked without replacement from yfddyydddqqydyyiyyyy. Give prob of picking 2 y. 9/38 Calculate prob of picking 1 a and 2 d when three letters picked without replacement from {v: 2, w: 2, a: 1, d: 3, n: 4}. 3/220 Two letters picked without replacement from ooocoooooooooooocoo. Give prob of picking 2 o. 136/171 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {q: 1, x: 1, y: 1}. 1/3 Two letters picked without replacement from bxottabbubto. Give prob of picking 2 o. 1/66 What is prob of picking 3 o and 1 z when four letters picked without replacement from oooojzojoozooojoozjo? 286/1615 Calculate prob of picking 2 u when two letters picked without replacement from hhhhjuhjuhjj. 1/66 What is prob of picking 1 t and 1 d when two letters picked without replacement from ydtedataaaateat? 8/105 Three letters picked without replacement from dbxnugn. What is prob of picking 1 x, 1 n, and 1 d? 2/35 Calculate prob of picking 4 g when four letters picked without replacement from gncxaagagcagzgaca. 1/476 Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {r: 4, m: 6, b: 1}. 6/55 Calculate prob of picking 2 v when two letters picked without replacement from kvkkkvv. 1/7 Three letters picked without replacement from {j: 5, r: 5}. Give prob of picking 3 r. 1/12 Calculate prob of picking 3 k when three letters picked without replacement from kttikkikxxkkkk. 2/13 Three letters picked without replacement from ovcjjod. What is prob of picking 1 c, 1 j, and 1 v? 2/35 Three letters picked without replacement from {q: 3, g: 4, t: 5}. What is prob of picking 1 q and 2 t? 3/22 Calculate prob of picking 1 m and 1 i when two letters picked without replacement from iietiedimi. 1/9 Two letters picked without replacement from fffff. What is prob of picking 2 f? 1 What is prob of picking 1 j, 1 n, and 2 s when four letters picked without replacement from {j: 1, s: 12, n: 1}? 6/91 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nnnqnfnfnffqfffn. 7/60 Calculate prob of picking 1 e, 1 y, and 1 h when three letters picked without replacement from eyhyyyehhyyeyh. 3/13 Two letters picked without replacement from {k: 2, u: 5, x: 3, j: 8, p: 2}. What is prob of picking 2 p? 1/190 Three letters picked without replacement from ttttlttlll. What is prob of picking 2 l and 1 t? 3/10 Calculate prob of picking 1 y and 1 j when two letters picked without replacement from yujjlfuufeyjju. 8/91 What is prob of picking 2 q when two letters picked without replacement from {q: 2, z: 7}? 1/36 Calculate prob of picking 3 d when three letters picked without replacement from jujdjddjjujujjjvjv. 1/816 Calculate prob of picking 2 w when two letters picked without replacement from wsswiswbwrsszwzsrssz. 1/19 What is prob of picking 1 v and 3 k when four letters picked without replacement from {k: 3, a: 1, z: 1, v: 1, e: 2, o: 3}? 1/330 Four letters picked without replacement from yolaltyhaottoyt. Give prob of picking 2 t, 1 a, and 1 h. 4/455 Two letters picked without replacement from {n: 1, o: 3}. Give prob of picking 2 n. 0 Two letters picked without replacement from {i: 4, q: 2, x: 1}. Give prob of picking 2 i. 2/7 What is prob of picking 1 j and 3 i when four letters picked without replacement from jijsjjsiizjssiijsj? 7/306 Two letters picked without replacement from {s: 3, o: 1, b: 1, l: 2, h: 4, f: 1}. What is prob of picking 1 b and 1 h? 2/33 Three letters picked without replacement from {b: 1, l: 2, c: 2, a: 2, u: 5, f: 2}. What is prob of picking 2 c and 1 a? 1/182 What is prob of picking 2 l when two letters picked without replacement from {g: 2, v: 1, p: 1, l: 2}? 1/15 Three letters picked without replacement from {b: 4, e: 1, f: 2, d: 4, o: 2, x: 2}. What is prob of picking 1 d and 2 f? 4/455 Calculate prob of picking 1 n, 1 r, and 1 l when three letters picked without replacement from mfrnlfllrllr. 3/44 What is prob of picking 1 l and 1 p when two letters picked without replacement from {u: 2, p: 1, l: 2, f: 3, y: 3, s: 4}? 2/105 Calculate prob of picking 1 h and 1 q when two letters picked without replacement from ihiihmmnqi. 2/45 Two letters picked without replacement from {h: 7, b: 2, x: 3, r: 3, j: 3}. What is prob of picking 1 x and 1 h? 7/51 Two letters picked without replacement from {h: 1, i: 1, t: 6, e: 1, b: 4}. Give prob of picking 1 e and 1 i. 1/78 Three letters picked without replacement from joovovcoocccccjvooc. What is prob of picking 1 o and 2 v? 7/323 Calculate prob of picking 1 e and 3 l when four letters picked without replacement from golloloeeleooelee. 3/119 Two letters picked without replacement from {b: 1, n: 7}. Give prob of picking 1 b and 1 n. 1/4 Three letters picked without replacement from {r: 3, p: 5, f: 5, c: 2, l: 5}. What is prob of picking 2 r and 1 l? 1/76 What is prob of picking 2 v when two letters picked without replacement from {v: 2, f: 17}? 1/171 What is prob of picking 4 y when four letters picked without replacement from {c: 11, f: 2, y: 7}? 7/969 What is prob of picking 3 t when three letters picked without replacement from {t: 3, w: 7, c: 1, r: 7, b: 1}? 1/969 What is prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, i: 2, j: 7}? 2/45 Three letters picked without replacement from {i: 5, a: 8}. What is prob of picking 2 i and 1 a? 40/143 Three letters picked without replacement from zzzuzuzuzzzuuzzzzz. What is prob of picking 3 z? 143/408 Three letters picked without replacement from fffvfvvffffvff. What is prob of picking 3 v? 1/91 Calculate prob of picking 1 x and 1 f when two letters picked without replacement from fqbfqltx. 1/14 Calculate prob of picking 1 b and 3 s when four letters picked without replacement from {s: 4, b: 6}. 4/35 Two letters picked without replacement from ttitkrthkki. Give prob of picking 2 h. 0 Four letters picked without replacement from ggkkrgpgkrpkgpggk. Give prob of picking 1 g, 2 p, and 1 r. 3/170 Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {t: 1, w: 9, z: 3, m: 1}. 3/91 Two letters picked without replacement from {i: 11, b: 5}. Give prob of picking 2 b. 1/12 Four letters picked without replacement from {y: 12, b: 1}. Give prob of picking 4 y. 9/13 Four letters picked without replacement from {t: 2, x: 1, d: 1, u: 2}. Give prob of picking 1 x, 1 d, 1 u, and 1 t. 4/15 Three letters picked without repla
{ "pile_set_name": "DM Mathematics" }
)*(a - 1)*(a + 1)**3 Let i(y) be the first derivative of 38 - y**4 + 16/3*y**3 - 16*y + 2*y**2. Factor i(n). -4*(n - 4)*(n - 1)*(n + 1) Suppose -2*i = b + 4, -3 = 5*b + 4*i - 1. Suppose b*z + 2*t - 10 = 0, -4*z + t + 20 = -0*t. Determine m, given that 4*m**4 - 36*m**z + 62*m**5 - 30*m**5 = 0. 0, 1 Let v(r) = 5*r**5 + 10*r**4 - 12*r**3 + 4*r**2 - 13*r. Let x(o) = -o**5 - o**4 + o**3 + 2*o. Let k(h) = v(h) + 6*x(h). Suppose k(n) = 0. Calculate n. 0, 1 Suppose -308*n = -310*n + 14. Let r(l) be the third derivative of -1/12*l**4 + 0 + 0*l + 0*l**3 - 7/60*l**6 + 7*l**2 + 1/6*l**5 + 1/35*l**n. Factor r(f). 2*f*(f - 1)**2*(3*f - 1) Find d such that -236*d**4 + 716*d**5 + 1345 + 3112*d**3 + 11284*d - 712*d**5 + 10792*d**2 + 2499 = 0. -1, 31 Let q(r) be the third derivative of r**5/270 + 2*r**4/27 - r**3/3 + 167*r**2. Factor q(x). 2*(x - 1)*(x + 9)/9 Factor -3/2*c + 0 - 7/6*c**3 + 1/6*c**4 + 5/2*c**2. c*(c - 3)**2*(c - 1)/6 Suppose -4*f + 253 = -f + 2*p, -2*p = -4. Suppose -x - f = -6*x + c, 2*x + 2*c = 26. Factor -2*i + 2*i**2 - 2*i + x*i**3 - 14*i**3. 2*i*(i - 1)*(i + 2) Suppose 0 - 1/8*i**3 - 35/8*i**2 + 9/2*i = 0. What is i? -36, 0, 1 Suppose 0*l + 9 = 4*j - 3*l, -5*l = 5*j - 20. Factor -g**4 - 10*g**2 - 131*g**j - 4*g - g**4 + 123*g**3. -2*g*(g + 1)**2*(g + 2) Suppose 34*s = -12*s. Let z(d) be the third derivative of -8*d**2 - 5/48*d**4 - 1/120*d**5 - 1/6*d**3 + s + 1/120*d**6 + 0*d. Factor z(j). (j - 2)*(j + 1)*(2*j + 1)/2 Let m be (176/66)/(4/6). Factor -m*v**4 + 41*v**2 - 107*v**2 - 72 - 212*v - 36*v**3 + 56*v - 50*v**2. -4*(v + 1)*(v + 2)*(v + 3)**2 Let b(j) be the third derivative of j**7/21 - 19*j**6/48 + 18*j**2 + j. Find n, given that b(n) = 0. 0, 19/4 Let g(t) be the first derivative of t**5/160 - 3*t**4/32 + 9*t**3/16 - 5*t**2 + 11. Let l(h) be the second derivative of g(h). Find s such that l(s) = 0. 3 Let y(w) be the third derivative of -3*w**6/40 - w**5/20 + w**4/4 + 23*w**2. Suppose y(n) = 0. What is n? -1, 0, 2/3 Let j(m) be the third derivative of m**8/2352 + 3*m**7/490 + m**6/210 - 3*m**5/35 - 4*m**4/21 - 418*m**2. Determine z so that j(z) = 0. -8, -2, -1, 0, 2 What is o in 248*o + 19220 + 4/5*o**2 = 0? -155 Let i(t) be the third derivative of -1/390*t**5 + 1/156*t**4 + 0*t**3 + 11*t**2 + 0 + 0*t. Solve i(u) = 0 for u. 0, 1 Let c(m) be the second derivative of -m**6/300 - 9*m**5/100 - 3*m**4/8 + m**3/15 + 3*m**2 + 543*m. Find g, given that c(g) = 0. -15, -2, 1 Let i(t) = -2*t**3 + 4*t**3 - t - 8*t**2 - 2*t**3 - t**3 - 5. Let k be i(-8). Factor -k*p**3 + 10*p - 91*p - 35*p**2 + 8*p**2 - 81. -3*(p + 3)**3 Let d be 2/8*(12 + -15 + 3). Determine o, given that d + 0*o - 2/3*o**2 = 0. 0 Let u(z) be the first derivative of 2*z**3/45 - 8*z**2/15 - 26*z/3 + 563. Solve u(i) = 0. -5, 13 Suppose -5*y - z = 19, -3*y - 29 = -0*y + 5*z. Let g = 15 - y. Factor -g*x**4 - 6*x**2 - 36*x + 9*x**5 + 24 - 6*x**3 + 22*x**3 - 6*x**5 + 17*x**3. 3*(x - 2)**3*(x - 1)*(x + 1) Factor -2/17*w - 2/17*w**3 + 8/17*w**2 - 12/17. -2*(w - 3)*(w - 2)*(w + 1)/17 Suppose 5*c - 10 = -0. Let -j**2 - 4*j**3 - 2*j**4 + 59 - j**c - 59 = 0. Calculate j. -1, 0 Let 270*i**3 - 117/4*i**4 + 3/4*i**5 + 0 + 300*i**2 + 0*i = 0. What is i? -1, 0, 20 Let z(v) be the first derivative of v**6/18 - 2*v**5/5 + 5*v**4/12 - 408. Find k, given that z(k) = 0. 0, 1, 5 Let u(i) be the first derivative of 2*i**5/55 + 13*i**4/22 + 2*i**3/3 - 13*i**2/11 - 24*i/11 - 295. Let u(g) = 0. Calculate g. -12, -1, 1 Factor -3/5*t**3 + 12/5 + 12/5*t - 3/5*t**2. -3*(t - 2)*(t + 1)*(t + 2)/5 Let m(b) be the third derivative of b**7/2625 + b**6/375 - b**5/750 - b**4/75 + 33*b**2 - 2. Factor m(a). 2*a*(a - 1)*(a + 1)*(a + 4)/25 Solve 2/13*i**3 - 2/13*i - 2/13*i**4 + 0 + 2/13*i**2 = 0. -1, 0, 1 Let r = 4196/3 - 1398. Let z(q) be the first derivative of -7 + 1/4*q**4 - 1/2*q**2 + r*q**3 - 2*q. Factor z(w). (w - 1)*(w + 1)*(w + 2) Let f be (-31)/(-10) + (-8)/(8/3). Let i(w) be the second derivative of 0*w**3 + 5*w - 1/60*w**4 + f*w**2 + 0. Find n, given that i(n) = 0. -1, 1 Factor 3/4*x**5 - 15/4*x**3 + 0*x**2 + 3*x**4 + 0*x + 0. 3*x**3*(x - 1)*(x + 5)/4 Let x = 10472 - 10469. Determine o so that -o + o**2 - 1/3*o**x + 1/3 = 0. 1 Let n(u) be the third derivative of 0*u**5 - 5/42*u**7 + 1/4*u**6 + 5/336*u**8 + 2*u**2 + 0*u**4 + 0*u - 22 + 0*u**3. Suppose n(x) = 0. What is x? 0, 2, 3 Let a = 12 + -10. Find w such that 3*w + 16*w**3 - 7*w**4 - 11*w**a - 3*w + 3*w - w = 0. 0, 2/7, 1 Suppose 8*n - 10*n + 4 = 0. Let y = -21 - -29. Suppose y*x**3 + x**n - 4*x - 10*x**3 + 3*x**2 + 2*x = 0. Calculate x. 0, 1 Let z be 16/98*1*154/44. Determine r, given that 16/7*r**4 - 8/7*r**3 + 12/7*r**5 + 0 - 16/7*r**2 - z*r = 0. -1, -1/3, 0, 1 Let s(f) be the first derivative of f**8/4480 - f**7/2240 + 4*f**3 + 38. Let y(v) be the third derivative of s(v). Solve y(h) = 0. 0, 1 Factor -34*c**2 - 40 + 28*c**4 - 242*c**2 - 54*c + 76*c**3 + 138*c + 128*c. 4*(c - 1)**2*(c + 5)*(7*c - 2) Let g be (-23)/(-23)*4/20. Factor 1/5 + 2/5*p + g*p**2. (p + 1)**2/5 Let x = 196 - 193. Let a(y) be the third derivative of -1/330*y**5 - 2*y**2 + 0 + 0*y + 1/33*y**x + 0*y**4. Factor a(v). -2*(v - 1)*(v + 1)/11 Let h(g) be the third derivative of g**8/336 - g**7/42 + g**6/15 - g**5/15 - 2*g**2 + 3. Let h(u) = 0. What is u? 0, 1, 2 Suppose m + 3*z = -9, 9 = 5*m - 2*z + 3. Suppose m = 5*i - i - 8. Factor -i*c**2 - 4/7 - 18/7*c. -2*(c + 1)*(7*c + 2)/7 Let k(j) be the third derivative of j**7/735 - 3*j**6/140 - j**5/210 + 3*j**4/28 + 86*j**2 - 2. Determine y so that k(y) = 0. -1, 0, 1, 9 Suppose -3*h - 5 = 5*x, -7*x = 4*h - 6*x + 1. Determine a, given that h - 2/5*a**3 - 4/15*a**2 + 2/15*a**5 + 0*a**4 + 0*a = 0. -1, 0, 2 Let q(s) be the first derivative of 1/8*s**2 - 1/6*s**3 + 1/2*s - 1/16*s**4 + 15. Factor q(r). -(r - 1)*(r + 1)*(r + 2)/4 Let y(j) = 3*j - 6*j - 3*j - 1. Let z be y(-1). Find w, given that -9*w**5 - 9*w**z - 7*w**2 - 56*w**3 - 9*w**2 - 60*w**4 = 0. -2, -2/3, 0 Let k(q) = -18*q + 273. Let r be k(15). Let w = 1/50 - -87/650. Solve -2/13*o**4 + 0 - 2/13*o**r + w*o + 2/13*o**2 = 0. -1, 0, 1 Let r be (10/20)/(3/18). Suppose -3*n + 4*q = 8, r*n + 3*q - 6 = 2*n. Let 1/7*d + 2/7*d**2 + 0 - 1/7*d**5 - 2/7*d**4 + n*d**3 = 0. Calculate d. -1, 0, 1 Let m(a) = 15*a**4 - 145*a**3 + 213*a**2 - 83*a + 3. Let h(n) = 105*n**4 - 1015*n**3 + 1490*n**2 - 580*n + 20. Let f(o) = -3*h(o) + 20*m(o). Factor f(z). -5*z*(z - 8)*(z - 1)*(3*z - 2) Let z = 136 - 133. Suppose z*r + 2*t - 20 = 0, t - 3 = 3*r - 11. Factor -4/3*o**3 + 0 + 2/3*o**r + 0*o + 2/3*o**2. 2*o**2*(o - 1)**2/3 Let h(d) = -35*d + 105. Let u be h(3). Let p(r) be the second derivative of u + 1/20*r**5 + 1/60*r**6 - 1/6*r**3 - 1/4*r**2 + r + 0*r**4. Factor p(g). (g - 1)*(g + 1)**3/2 Let s(w) be the second derivative of -1/35*w**5 - 4/147*w**7 + 0*w**3 + 1/42*w**4 - 1/15*w**6 + 0 - 8*w + 0*w**2. Let s(k) = 0. What is k? -1, 0, 1/4 Let l(u) be the first derivative of u**6/60 + 7*u**5/50 + 3*u**4/40 - 23*u**3/30 - 8*u**2/5 - 6*u/5 + 509. Determine s, given that l(s) = 0. -6, -1, 2 Let a(d) be the first derivative of -d**6/1800 - d**5/100 - d**4/15 - 32*d**3/3 + 18. Let v(i) be the third derivative of a(i). Factor v(p). -(p + 2)*(p + 4)/5 Factor -52*o + 1/2*o**2 + 1352. (o - 52)**2/2 Let k = -6624 + 6626. Factor 25/3*a**k + 10/3*a - 5. 5*(a + 1)*(5*a - 3)/3 Let k(n) be the third derivative of 3/2*n**3 - 25*n**2 + 0 - 1/20*n**5 + 1/4*n**4 + 0*n. Factor k(r). -3*(r - 3)*(r + 1) Let g(t) be the second derivative of -1/2*t**3 + 0 + 0*t**4 + 3*t + 3/20*t**5 + 0*t**2. Factor g(a). 3*a*(a - 1)*(a + 1) Let t(l) = 2*l**3 + l**2 + 4*l - 5. Let i(u) = 3*u**3 + 2*u**2 + 5*u - 6. Let k be 2 - (1 - (4 - 0)). Let v(d) = k*i(d) - 6*t(d). Factor v(w). w*(w + 1)*(3*w + 1) Factor -2*i**2 + 7 + 0*i**2 - 12*i - 21 + 4. -2*(i + 1)*(i + 5) Let r(v) be the first derivative of v**4/2 + 4*v**3/3 - 39*v**2 + 144*v - 380. Factor r(p). 2*(p - 3)**2*(p + 8) Suppose -19 = -3*o - h, 4*h - 3*h + 21 = 2*o. Let b(q) be the first derivative of 3*q**2 - 21/5*q**5 + 7*q**3 + o - 3/2*q**4 + 0*q. Factor b(u). -3*u*(u - 1)*(u + 1)*(7*u + 2) Factor 64 + 255*s**2 - s**3 + 0*s**3 - 235*s**2 + 88*s - 3*s**3. -4*(s - 8)*(s + 1)*(s + 2) Let l be (-70)/(-25) + (50/50)/(5/(-4)). Factor 0 + 1/4*n**3 + n - n**l. n*(n - 2)**2/4 Let r = 1261/5 + -2517/10. Fac
{ "pile_set_name": "DM Mathematics" }
- 186316 + 68316 for m. 35 Solve -18*n - 69 - 576 = -135*n + 408 for n. 9 Solve -5665*q + 12*q - 193875 = 222*q for q. -33 Solve -26172 = -636*s - 4248 + 3516 for s. 40 Solve 4523 = 389*y - 622 - 16250 for y. 55 Solve 208*g + 7015 - 2515 = -6108 for g. -51 Solve 4822 = 266*u - 232 for u. 19 Solve 0 = -644*t - 319*t + 192*t - 817*t + 41288 for t. 26 Solve 690*p + 258*p + 5494 = -531*p - 90641 for p. -65 Solve 1841*x = -3047*x - 1132*x + 1712*x + 38772 for x. 9 Solve -374*l = -756*l + 302*l - 9120 for l. -114 Solve 38*y + 1058*y - 13463 = -5809 + 55914 for y. 58 Solve -4127*u + 1209*u = -600*u - 57950 for u. 25 Solve 199*u = -314*u + 18981 for u. 37 Solve 457*t - 10438 - 10627 = 7726 for t. 63 Solve -323977 = 5859*u + 94777 - 75394 + 2321 for u. -59 Solve -55*v + 2099 - 273 = 28*v for v. 22 Solve -211*r + 6539 = -43*r + 10493 + 4446 for r. -50 Solve 108*y = 249*y + 5640 for y. -40 Solve -78*r - 9917760 = -9921894 for r. 53 Solve -12402*b = -12181*b - 20654 + 1206 for b. 88 Solve 0 = -18*c + c - 17*c - 7*c - 1599 for c. -39 Solve 0 = -2657*f - 24744 + 99140 for f. 28 Solve 435*d - 3928 = -56*d for d. 8 Solve 1618*n - 61575 - 107745 = -23700 for n. 90 Solve -40*h - 54*h - 1550 = 21*h - 53*h for h. -25 Solve -231*d + 475*d - 239*d = -600 for d. -120 Solve -381*r - 2430 = -477*r + 3618 for r. 63 Solve 1477*o + 45 = 1480*o for o. 15 Solve -6367*v - 4767*v = 517*v + 920429 for v. -79 Solve 22308 = -20866*g + 20359*g for g. -44 Solve -2058*p + 2287*p = -6641 for p. -29 Solve 161*m - 457*m = 446*m - 60844 for m. 82 Solve -1175 = 787*p + 1973 for p. -4 Solve 0 = -4522*q - 217245 - 67641 for q. -63 Solve 2898*w = 813*w + 176198 + 1027 for w. 85 Solve 302840 = -2730*w - 1066*w - 724*w for w. -67 Solve -3*g + 3944 = -69*g - 12*g - 38*g for g. -34 Solve 1357 = -1384*a + 40228 + 22025 for a. 44 Solve 0 = -423998*z + 424156*z + 8374 for z. -53 Solve -3781*w - 1712*w - 43944 = 0 for w. -8 Solve 24*j + 14*j + 254*j - 14292 = -105*j for j. 36 Solve 3857*z = -239340 - 49935 for z. -75 Solve -38*i + 552 - 1201 + 339 = 1476 for i. -47 Solve -279*b = 556 - 424 + 984 for b. -4 Solve 2296*k - 10001*k = -739680 for k. 96 Solve 11773*r - 5930*r - 1846 = 5892*r - 131 for r. -35 Solve 244379 = 8938*b - 837119 for b. 121 Solve -2267*v + 14009 = -12632 + 3971 for v. 10 Solve -451*z + 2900*z - 215512 = 0 for z. 88 Solve 7379 = 160*k + 73*k + 5736 - 6978 for k. 37 Solve -843*x + 547*x = 1058*x - 46036 for x. 34 Solve -295*u - 5292 = -272*u + 1392*u + 368 for u. -4 Solve -104*d - 106*d + 185*d = 1575 + 500 for d. -83 Solve -1117*v - 1867*v + 243956 = 543*v - 91*v for v. 71 Solve 4770*h = 136565 - 167111 - 198414 for h. -48 Solve -861*f - 19754 = -263*f - 204*f - 156*f for f. -83 Solve -8390*w + 241733 + 119037 = 0 for w. 43 Solve -199*y - 225*y = -66*y - 11*y + 14574 for y. -42 Solve 154*n + 4312 - 9634 - 6228 = 0 for n. 75 Solve 39770*t - 39831*t + 1891 = 0 for t. 31 Solve 737 = 68*w - w for w. 11 Solve 0 = -826*y + 877*y + 918 for y. -18 Solve 672*h - 39962 = 1064*h + 297*h for h. -58 Solve 38675*c = 38709*c + 3842 for c. -113 Solve 1131*b - 4620 = 966*b for b. 28 Solve -1568 = -4174*m + 4062*m for m. 14 Solve 2042*j - 13690 = 587*j + 1085*j for j. 37 Solve -7679 = 12*a + 92*a - 618 - 405 for a. -64 Solve 0 = 1553*b + 455 + 2476 + 3281 for b. -4 Solve 355*w + 4873*w + 41824 = 0 for w. -8 Solve -645*h = 2000*h - 797*h - 1848 for h. 1 Solve 1070*i - 174184 = -62904 for i. 104 Solve -214*c + 9057 = 75*c - 24*c - 2603 for c. 44 Solve -71*u = 937*u + 251*u + 32924 + 12400 for u. -36 Solve 0 = 14411*z - 959*z - 1678*z - 117740 for z. 10 Solve -323139 + 4122863 + 488442 = -29371*w for w. -146 Solve 76*m - 26*m = 70*m - 993*m + 43785 for m. 45 Solve 317*b + 297*b - 878*b = -319*b - 3630 for b. -66 Solve 44*t = -110*t + 2031 + 119 + 6 for t. 14 Solve 602*i + 359*i = -1162*i + 174*i + 109144 for i. 56 Solve -22587*b + 23155*b - 74976 = 0 for b. 132 Solve -361*w - 1324*w = -285*w - 16800 for w. 12 Solve -17 + 1018 = -279*r + 136*r for r. -7 Solve -8*y - 1646*y - 1224*y + 51804 = 0 for y. 18 Solve -207*j = -3*j + 4865 + 2479 for j. -36 Solve -670*c + 950 = -14460 for c. 23 Solve 0 = 399*t + 11196 + 7956 for t. -48 Solve -378*j = 625*j + 296*j + 3836 + 2659 for j. -5 Solve -4520*g + 11108 + 42751 = -45581 for g. 22 Solve 17292 = 150*r + 256*r - 13*r for r. 44 Solve 3153 + 2792 = 140*z + 444 - 1919 for z. 53 Solve -3042*n - 2219*n - 555712 - 91391 = 0 for n. -123 Solve 60*u + 61*u + 32*u = 39*u + 1596 for u. 14 Solve 737*j - 778*j - 246 = 0 for j. -6 Solve 337*l = -8970 - 9228 for l. -54 Solve -29437*g + 1308025 = -369884 for g. 57 Solve 25855*w - 26348*w - 6528 - 14280 = -1581 for w. -39 Solve 1208605 - 1210325 = 43*r for r. -40 Solve -15488 + 18030 = -62*b for b. -41 Solve -218302 - 63629 = 4980*g + 81809 + 208960 for g. -115 Solve -268*r + 4624 - 4892 = 0 for r. -1 Solve 55*x + 4*x = 120 + 18 - 3678 for x. -60 Solve 89*r + 53*r + 96*r - 39585 = -371*r for r. 65 Solve -1382*o + 963*o - 1306*o + 81578 - 3953 = 0 for o. 45 Solve 242*q + 2583 = -5351 - 5095 + 687 for q. -51 Solve -586*p + 17309 = -271 for p. 30 Solve -7*c - 12632 - 3892 = 185*c + 51*c for c. -68 Solve 130*h = 55868748 - 55863548 for h. 40 Solve 156*u = 646*u + 278*u + 17664 for u. -23 Solve -1212390*a + 1212501*a = 168 + 11955 + 3528 for a. 141 Solve 12211 - 8899 = -184*s for s. -18 Solve -704*p = 779*p - 246*p + 35873 for p. -29 Solve -345 = 819*p - 750*p for p. -5 Solve 626*j + 2507 = -770*j + 27635 for j. 18 Solve 0 = 1143*p + 21357 - 783 for p. -18 Solve 908*b - 11995 - 10215 = -1499*b + 186*b for b. 10 Solve 55*v - 15*v = -25*v + v - 1920 for v. -30 Solve 1572 = 71*m + 1815 - 3636 - 2074 for m. 77 Solve 12002 = -1463*z - 978*z - 14058 - 78903 for z. -43 Solve 16283719*s - 16283416*s = -10302 for s. -34 Solve 652*b - 7061 = -33793 for b. -41 Solve -1552*w - 1631*w + 238625 = -1248*w + 940*w for w. 83 Solve 7582*s = 1648*s + 462407 + 405889 - 304566 for s. 95 Solve -12369*z - 1475372 = 1955*z for z. -103 Solve -284*u - 97 - 286 = 469 for u. -3 Solve -96*g - 915*g = 400*g + 40919 for g. -29 Solve -8769*a = -8963*a + 15908 for a. 82 Solve 342*q - 83*q + 509*q + 36*q = -75576 for q. -94 Solve -303064 - 50666 = -9070*i for i. 39 Solve 710*w = -30*w - 1070 - 4850 for w. -8 Solve -9045*x - 64 = -9037*x for x. -8 Solve -290*q + 114074 = 1828*q - 298 for q. 54 Solve -132*x + 1174 - 392 - 393 = 389 for x. 0 Solve 163*x - 1461 - 2232 = -1248 for x. 15 Solve 176*a - 155765 = -141509 for a. 81 Solve 278*h + 1473 + 369 = -2504 + 1010 for h. -12 Solve 2025*i - 2711 - 4716 = 31048 for i. 19 Solve 9876*m - 3072*m - 10608 - 8480 = 1324 for m. 3 Solve 26530*x = 26526*x for x. 0 Solve 150*o - 85*o - 3182 = 33*o + 118*o for o. -37 Solve -398*c - 99*c - 1527 = -36 for c. -3 Solve -306*c - 2829*c - 105595 + 41038 - 42033 = 0 for c. -34 Solve 3106*q = 3090*q + 288 for q. 18 Solve 4638*h = 8096*h - 4318*h + 65360 for h. 76 Solve -992*y = -357*y - 388*y + 11115 for y. -45 Solve -139*p + 6409 = 837*p - 63*p - 10025 for p. 18 Solve 736 = 842*b + 2034 + 13016 for b. -17 Solve 2246 = -123*i - 4463 - 548 for i. -59 Solve -24820*t = -10231*t - 1429722 for t. 98 Solve 4844*y - 406*y - 45799 = 187334 + 42023 for y. 62 Solve -423*j - j - 293*j + 9500 = 896 for j. 12 Solve 70*u - 1640 + 4864 = -34*u - 1872 for u. -49 Solve 150*r - 21 - 3371 - 6094 = -129*r for r. 34 Solve -3401*g - 200 = -3301*g for g. -2 Solve 4875*t = 5334*t - 27999 for t. 61 Solve -441*y - 1087 + 11390 = -7776 - 2 for y. 41 Solve 3127*v - 534*v - 13428 = -764*v for v. 4 Solve -540*k + 1497 = 1920 + 2512 + 3545 for k. -12 Solve 791*h = -9173 + 89064 for h. 101 Solve 850*l + 16616 = 314*l for l. -31 Solve 385*m + 115509 = 928*m + 341*m - 53*m for m. 139 Solve 35*z + 5*z + 64*z + 1007712 = 1006048 for z. -16 Solve -2296*b = -6453*b - 3800*b - 5888*b - 1121445 for b. -81 Solve -13039*m - 676258 = -1577*m for m. -59 Solve -922*j - 6238 = -3495*j - 22144 - 17543 for j. -13 Solve -2402*m + 14940 = -25894 for m. 17 Solve 1036*w + 1165954 = 1091362 for w. -72 Solve 15570290 = -12*m + 15570050 for m. -20 Solve -63*t = 16*t + 726 - 2148 for t. 18 Solve -11129 - 68685 = -1155*n - 5894 for n. 64 Solve -99921*d - 590 = -99331*d for d. -1 Solve 195*c - 8011 = -618*c + 4576 + 15868 for c. 35 Solv
{ "pile_set_name": "DM Mathematics" }
- 1 + b)*(-4*b**2 + 4*b**3 + 4*b**2 - 2). 4*b**4 - 8*b**3 - 2*b + 4 Expand (-5*w**3 + w**3 + 5*w**3)*(1 + 5 - 21 - 2*w). -2*w**4 - 15*w**3 Expand (z - 1 + 1)*(1 - 3 + 0) + (1 + 0 - 2)*(2 - 2 + 2*z). -4*z Expand (-1 + 1 + 3)*(c + c + 0*c) - 2*c + 3*c - 2*c + (2 - 6 + 3)*(-c - 2 + 2). 6*c Expand ((3 - 6 + 2)*(2*z**4 + z - z) + 4*z**4 + 2*z**4 - 5*z**4 - 6 - 3*z**4 + 6)*(4 - 4 + z)*(-1 - 2 + 4). -4*z**5 Expand (-2*o**2 - 2 + 2)*(2 + 2 - 7) + 0*o + 0*o - o**2. 5*o**2 Expand -2 - 2*q + 2 - 5*q - 5*q + 4*q + (2 + 4 - 4)*(-q - q + 3*q) + 4*q - 3*q - 3*q + (3*q - 2*q + q)*(-2 + 3 - 2) - q - 4*q + 4*q. -11*q Expand -2*c + c - c + c + 0*c - 2*c + (-2 + 5 - 2)*(-c + 4*c - 5*c) + 0 + 0 - 2*c - 4*c + 4*c - 3*c. -10*c Expand (5 + 0 - 1)*(4*z - z - 2*z)*(4*z + 2*z - 5*z). 4*z**2 Expand 1 - 1 - 5*f**5 + (14 - f**2 + 5*f**4 - 14)*(-5*f + 5*f + 2*f). 5*f**5 - 2*f**3 Expand (-o**2 - 2*o**2 - 2*o**2)*(0*o**3 - o**3 - o**3) + 0*o**2 - o**5 + 0*o**2. 9*o**5 Expand 4*l + 0*l - 3*l + (2 + 3 - 3)*(-4 + 4 - 2*l) - 1 - l + 1 + (2 + 2 - 6)*(-l + 0*l - 3*l). 4*l Expand k - 3*k + 3*k + (-2 + 0 + 0)*(2*k - 5*k + k) - 4*k + 0*k + 5*k - 3 - k + 3. 5*k Expand 0*w**2 + 2*w + 6*w**2 - 2*w**2 + (1 + w - 1)*(-3*w + 2*w + 0*w) - w + w + 2*w**2. 5*w**2 + 2*w Expand (-2*x + x + 3*x)*(-x**2 - 2*x**3 + x**2)*(-8 + 6*x + 8). -24*x**5 Expand (-3*z + 4*z + 0*z - 2*z - 2*z + 5*z + (-1 - 3 + 5)*(z + 1 - 1) - 3*z - 3*z + 5*z)*(z**4 - 2*z + 2*z). 2*z**5 Expand -3*k**2 + 2*k**2 + 0*k**2 + (0 - 3 + 2)*(-k + k + 2*k**2) - 3*k**2 - 3*k**2 + 5*k**2 - k**2 - 2*k**2 + 4*k**2 + (2 - k - 2)*(-29*k - 1214 + 1214). 26*k**2 Expand (6*d - 8 + 8)*((-2 + 2 + d)*(2 - d - 2) - 3*d**2 + 2*d**2 + 3*d**2). 6*d**3 Expand y**3 - 5*y**3 + y**2 + 0*y**3 + (2*y**2 - 1 + 1)*(2*y + 2*y - 5*y) - 2*y**2 + 2*y**2 - 3*y**3. -9*y**3 + y**2 Expand (2*o - o + o)*(2 - 6 + 2)*(-1 + 0 - 5)*(0*o**2 - 5*o**2 + 3*o**2). -48*o**3 Expand ((-o - 2*o + 5*o)*(-3*o - 2*o + 6*o) + 0*o**2 + 2*o**2 - 3*o**2)*(-2*o - o + 0*o + (4*o + o - 3*o)*(-1 - 1 + 1) - 1 - o + 1). -6*o**3 Expand (0*k + 0*k - 3*k**2)*(-2 - 4 + 1)*(2*k + 4 - 4). 30*k**3 Expand (-5*h + 3*h - 3*h + (2*h - 2 + 2)*(4 - 7 + 4) + 4 - 4 + 2*h)*(-h - 10 + 10). h**2 Expand (-1 - 8 - 4)*(3*g + 2*g - 3*g - 6*g + 4*g + 0*g + (3 - 3 + 2)*(0*g + 3*g - g) - g - 1 + 1) - 3*g - g + 6*g. -37*g Expand -31 + 31 - 12*w + (3*w + 3*w - 5*w)*(0 + 4 + 0). -8*w Expand -1 - 16*b**3 - 1 + 3 + (2*b - 3*b - b)*(b - b + 2*b**2) + 3*b**3 + 0*b**3 - 4*b**3. -21*b**3 + 1 Expand (-10 - 23*m - 2*m**2 + 49*m - 27*m)*(0 + 1 + 0). -2*m**2 - m - 10 Expand (4*i - 3*i - 3*i)*(i - i + 2*i**2) + (7*i**3 + i**3 - 4*i**3)*(3 + 1 - 5). -8*i**3 Expand 7*d**2 + 0*d**2 - d**2 - 2*d**2 - d**2 + d**2 + (2*d + 2*d - 3*d)*(-2*d + d + 0*d) + d**2 - 2*d**2 - d**2. d**2 Expand 5*p**3 + 9*p - 9*p + (1 + 2*p - 1)*(3*p - 2*p + 0*p)*(-1 + 1 - p). 3*p**3 Expand 3*v - 3*v + 2*v**2 + (0 + 0 + v)*(v + 2*v - 2*v) + 9*v**2 - v**2 - 2*v**2 + (3*v - 3*v - 2*v)*(2*v + 4 - 4) + 2*v - 2*v - v**2 - v + v**2 + v. 5*v**2 Expand (10*q**2 - 104*q + 104*q)*(2 - 3 + 2) - q**2 + 1 - 1. 9*q**2 Expand (4*j**2 - 2*j**2 + 2*j**2)*((-4*j + j + j)*(0 - 2 + 3) + j - 3*j + 3*j). -4*j**3 Expand (-4*n**2 + 6*n**2 - n**2)*(1 - 4 + 1)*(7*n**2 - 3*n**2 - 3*n**2). -2*n**4 Expand (0*h - 3*h + 2*h)*(5 - 3 - 3). h Expand (-5*l - 10 + 10)*((1 - 1 + 1)*(0 + 0 - 2*l) - l + 3*l + 3*l). -15*l**2 Expand (4*u - 2*u - 4*u + 2*u**2)*(-2 - 3 + 7)*(11*u - 7*u + u). 20*u**3 - 20*u**2 Expand ((-3 + 0 + 1)*(0 + 2 - 3) + 4 + 0 + 1)*(2 - 2 + 2*a). 14*a Expand -2*d - 6*d - 6*d + (1 + 4 - 3)*(-2*d + 4*d + 0*d) + (2*d - 2*d + 2*d)*(2 + 0 + 0). -6*d Expand (-2*b**4 - 4*b - 2*b**3 + 4*b)*(-1 + 1 + 2). -4*b**4 - 4*b**3 Expand (-p**3 + 5*p**3 - 2*p**3)*(-18 + 34*p**2 - 32*p**2 + 4). 4*p**5 - 28*p**3 Expand (0*o - 7*o**3 + 2*o - 2*o**3)*(0*o - 2*o + 3*o). -9*o**4 + 2*o**2 Expand ((-4*z + z + z)*(-2 + 3 + 2) + z - z - 2*z + z + 2*z - 5*z)*(5 - 11 - 14). 200*z Expand 3 - v**5 - 3 + (-v + 4*v - v)*(-v + v + 2*v**4) + 2*v**5 - 34 + 34. 5*v**5 Expand (-2*x**3 - 9*x**3 + x**3)*(6 + 5*x + 0*x - 4*x). -10*x**4 - 60*x**3 Expand (-w + 4*w - 6*w)*(2 - 2 + 3*w**2) + (0*w + 2*w - 3*w)*(0*w + w**2 + 0*w). -10*w**3 Expand (0*i + 0*i - i + 0*i + 2*i - i + (-2 + 3 + 0)*(2*i + 2 - 2))*(-3 + 2 + 0) + 2 - 2 - i + (3 - 2 + 0)*(0*i + 0*i - i). -4*i Expand 5*l + 2*l - 6*l + (0*l + 0*l - l)*(-4 + 3 + 0) + 6*l - 3*l - 2*l - l - l - 10*l. -9*l Expand (3 + 0 - 1)*(-4*y + 2*y + y) + 7*y - 30 + 30 - 3*y - y + 6*y. 7*y Expand (0*i + 5*i + 0*i)*(2*i**2 - 3*i + 3*i) + (-2 - i + 2)*(-8 + 8 - i**2). 11*i**3 Expand (d + 2 - 2)*(-3*d - d + 0*d)*(-3 + 3 + 2*d**2). -8*d**4 Expand -7*o**2 - 3*o**4 + 7*o**2 + (-o + o + 7*o**3)*(-2*o + 3*o - 2*o). -10*o**4 Expand (2*s + 1 - 1)*(5 - 3 - 1)*(6 - 3 - 1)*(-6 - 5 + 15)*(-2 + 1 + 3). 32*s Expand (-7*n**3 - 7*n**3 - 3*n**3)*(3 + n - 3). -17*n**4 Expand (6*b - 6*b + 14*b**2)*(b + 0*b + 0*b) + 0 + 0 - 2*b**3. 12*b**3 Expand (-2*u**2 + 2*u**2 + 2*u**2)*(1 + 0 - 3)*(-u + 5*u + u). -20*u**3 Expand 60 - 116 - 8*c**2 + 55 + 2*c - 2*c + c**2 + (1 + 2*c - 1)*(-1 + 1 - c). -9*c**2 - 1 Expand (o + o - 4*o + 3*o - 4*o + 3*o + (2 + o - 2)*(-2 + 1 + 6))*(-2*o**2 + 2 + 2*o**2 + 2*o**3). 10*o**4 + 10*o Expand (-8 + 1 - 13)*(0*u - 2*u + u)*(3 - 3 - 2*u**2). -40*u**3 Expand (2 - 2 - z)*((4*z + 0*z - 5*z)*(-16*z + 11 - 11) + 0 + 0 + z**2 + (-1 + 2 - 3)*(-3*z**2 - z**2 + 2*z**2)). -21*z**3 Expand (4 + 1 - 3)*(8 - 3 + 0)*(5 - 1 - 3)*(-1 + 2*l**3 + 1). 20*l**3 Expand (19 - 19 - 4*g**2)*((-2 + 3 + 1)*(g - 6*g + 3*g) + 0*g + 0*g + g). 12*g**3 Expand -2*g - 3 + 3 + (3 - 1 + 0)*(2*g + 2*g - 2*g) + (-g + 3*g - g)*(5 - 4 + 0) + 3*g - 2*g + g + 28*g + 28*g - 64*g. -3*g Expand (-15 + 4*k**4 + 15)*(0*k + 2*k - 3*k). -4*k**5 Expand 3*s - s**4 - 3*s + (s + 3*s + s)*(-2 - s**3 + 2) - s**4 + 0*s**4 - 3*s**4. -10*s**4 Expand 8*n**3 + 2*n**3 - 3*n**3 + 2*n**3 - 5*n**3 + n**3 + (-2*n + n**2 + 2*n)*(3 + 2*n - 3) + 2*n**3 + 3*n**2 - 3*n**2. 9*n**3 Expand -3 - g + 3 + (-4 + 3 + 4)*(-5*g + 0*g + 3*g) + (-2 - 4 + 3)*(g + 0 + 0). -10*g Expand 0*w**2 - 2*w**3 + 0*w**2 - 2*w**3 + 5*w**3 + w**3 + (0*w + 3*w**2 + 0*w)*(w + 4*w - 3*w) - 2*w**3 - 4 + 4. 6*w**3 Expand (-4 + 4 - x**3)*(-12 + 12 + 15*x). -15*x**4 Expand (c + 0*c + c)*(-5*c**3 + 8*c**3 + 2*c**3) + (-2 + 4 + 0)*(c**3 - c**3 + 2*c**4). 14*c**4 Expand (-6 + 6 + 4*z**2)*(2 + 0 - 3)*(3 + 0 + 0). -12*z**2 Expand (2*b**3 - 2*b**3 - b**3 + (b**2 - 4*b**2 + 2*b**2)*(-1 + 4*b + 1))*(-2 - 2 + 3). 5*b**3 Expand (-15*q - 2 + 2*q - 2*q)*(1 + 1 - 3). 15*q + 2 Expand (-1 - z**2 + 1)*(-3 + 2*z**2 + 3 + (-z - 4*z + 3*z)*(-9 - 4*z + 9)). -10*z**4 Expand (-5*c**2 + 3*c**2 + 3*c**2)*(c**2 - c**2 - c**2) - 841*c + 24*c**3 + 841*c - 2*c**4. -3*c**4 + 24*c**3 Expand (-2 + 1 + 0)*(4 + 8*a - 4)*(0*a**3 + 0*a**3 + a**3). -8*a**4 Expand (c - 3*c + c)*(2*c**2 - 2*c + 2*c) - 10*c**3 - 6*c**3 + 9*c**3 - 1. -9*c**3 - 1 Expand (i + 2*i**4 - i)*(2 - 1 - 2) - 5*i**4 + 3*i**4 + i**4 - 4*i**4 + i**4 + i**4 + 2*i**4 + 0*i**4 + i**2 + 1 - 3*i**4. -6*i**4 + i**2 + 1 Expand (0 + p + 0)*(-6*p + 6*p + 15*p**4) + (3 - 4 + 3)*(3*p**5 - 2*p**5 + 0*p**5). 17*p**5 Expand (4 - 2 - 4)*(3*z - 2*z - 2*z) + 0*z - z + 2*z + 6 - 6 - 5*z. -2*z Expand 8*u**2 - 8*u**2 + 2*u**3 + (u**2 + 2*u**2 - 6*u**2)*(3*u + 6 - 6). -7*u**3 Expand ((-f**2 - 2*f**2 + 6*f**2)*(-2*f - 3*f + 3*f) + 10*f - 10*f - 11*f**3)*(2*f**2 + 2 - 2). -34*f**5 Expand (-6 + 0 + 3)*(-8 + 16 + 4)*(-g + 3 - 1 + 0). 36*g - 72 Expand s**4 + s**4 + s**4 + (-3*s + 5*s - 3*s)*(-6*s**2 - 3*s**3 + 6*s**2). 6*s**4 Expand 24 - 24 - 80*s + (-4 + 2 + 1)*(2*s - 1 + 1). -82*s Expand (5*f - 2*f - 4*f)*(-f - 3*f + 5*f)*(7*f**3 - 4*f**2 + 4*f**2). -7*f**5 Expand (3*n - 2*n + n)*(-2 - n + 2) + n**2 - 4*n**2 + n**2 - 7 + n**2 + 29 - 7. -3*n**2 + 15 Expand (-j + 0 + 1 + 2)*(0 + 0 + 4 + (2 + 1 - 2)*(-2 + 5 - 2) + 5 - 3 - 1 - 1 - 3 + 3 + 3 - 5 + 3 + 0 - 3 + 4). -7*j + 21 Expand (5*s**2 - 2*s**2 - 2*s**2)*(3 - 2 + 0 + (4 - 4 + 3)*(1 - 4 + 0) - 1 - 3 + 1). -11*s**2 Expand (-23*u**2 - 4*u**2 - u - u)*(0*u + 4*u - 5*u). 27*u**3 + 2*u**2 Expand (0*g - g + 4*g)*(4*g**2 + 3*g**2 - 3*g**2 + (2*g + 3*g - 3*g)*(-2*g + 0*g + 3*g)). 18*g**3 Expand 0*g**2 - 2*g**2 - g**2 + (-g + 0*g - g)*(-3*g + 0*g + g) - 2*g + 2*g**2 + 2*g + 2*g**2 + 0 + 0 + 2*g**2 + 0*g**2 + 0*g**2. 7*g**2 Expand (-28*y**3
{ "pile_set_name": "DM Mathematics" }
. -7/6 What is the value of ((-2)/(-6))/(1*3/(-2)*6660/(-999))? 1/30 (((-12)/(-98))/(20/(-28)))/((-2877)/(-13426)) -4/5 (-74200)/(-571340)*(-7)/(-25) 2/55 What is ((-88)/24)/(642/5778)? -33 Calculate ((-570)/(-960)*16)/((2/5)/((-72)/(-30))). 57 Evaluate ((-12)/(-2))/(8/(-108))*7*(-8)/(-84). -54 Calculate (1/(-2))/((-72)/(-960))*33/33. -20/3 (-814)/(-814)*(-10)/(-17)*-1 -10/17 (25*(-73)/(-3650))/(1/34) 17 Evaluate (((5/5)/1)/(-3))/((-72)/6264). 29 Calculate ((-165)/8228*17)/(1/((-16)/(-1)))*-11. 60 Calculate (-36*(-31)/372)/(4/(-56)). -42 Calculate 5*(-26)/(-1560)*-204. -17 What is (60/(-52))/((-697)/(-81549))? -135 What is 3384/940*10/(-18)? -2 What is the value of (-4)/30*21*(-4)/28*-2? -4/5 Evaluate 12/75*2*2745/3294. 4/15 Calculate (25/20)/(2/8*-6*(-8)/(-576)). -60 What is (5/8)/((-166850)/2840)? -1/94 Calculate (-5)/1*(4/10)/((-42)/1071). 51 What is ((-6)/8)/(-1)*(13754/(-39))/23? -23/2 What is ((-12)/(-72))/((-1921)/(-2856)*14)? 2/113 -3*1*92/(-230)*355/(-1136) -3/8 Calculate ((275/220)/(-105*(-3)/54))/((-5)/(-4)). 6/35 Calculate ((-2300)/(-40))/23*198/15. 33 Evaluate (27/11)/(30/(-300)*15). -18/11 Evaluate (-10330)/(-57848)*(-1)/(-5)*-16. -4/7 What is the value of (111/111)/(11/(-770))? -70 Calculate (11095/505932)/(20/114). 1/8 Calculate ((-58)/9)/(3197/(-57546)). 116 Evaluate -42*49/196*-5*(-8)/(-30). 14 Evaluate (6/56)/(((-1)/(-7)*2)/((-1976)/20748)). -1/28 Evaluate (-2)/(8*(-72)/(-224))*(-2130)/497. 10/3 Calculate (-6455)/9037*16/10*(-56)/2. 32 What is the value of (2124/1593)/(8/(-36))? -6 What is the value of (4/598)/((-1162)/(-53452))? 4/13 Calculate (9/510)/(((-16065)/1700)/63). -2/17 Calculate -5*((-147)/4340)/(91/(-52))*1*2. -6/31 What is -18*55/(-1188)*32/1090*(-9)/(-12)? 2/109 What is the value of (-10)/8*8654412/124345? -87 What is the value of ((-253)/2162)/((-3850)/(-1400))? -2/47 What is the value of -43*17/2193*(-2)/(-1)*330/70? -22/7 What is the value of ((-8)/132)/(4*3/9*1767/(-2356))? 2/33 What is the value of (-80)/(-100)*(-14)/(-56)*(-1)/1? -1/5 Calculate 1*90/50*-36*(-130)/(-78). -108 (3/(-2)*(-182)/273)/(1*-3) -1/3 Evaluate (39*(-216)/(-468))/(-5*(-3)/(-20)). -24 What is the value of ((((-6)/(-54))/((-2)/(-24)))/((-114)/(-171)))/11? 2/11 What is the value of ((-3)/((-105)/(-10)))/(4814/406)? -2/83 Evaluate (30/(-460))/(((-4)/(-3))/(304/(-171))). 2/23 What is the value of 2/8*-6*40548/1962? -31 Evaluate (-429)/(-9)*1233/5343. 11 What is the value of (7/(-21))/1*-3*(-16)/(128/(-30))? 15/4 What is (((-8)/(-6))/4*750/(-200))/(28/48)? -15/7 Calculate 6/(-28)*((-8)/(-30))/(914/2285). -1/7 What is (-1)/((-14)/(-147))*(6/(-63))/((-3)/(-144))? 48 Evaluate 37/(-3)*1*6*(-302)/302. 74 What is (-35448)/(-5064)*(17/((-935)/(-30)))/((-6)/(-4))? 28/11 What is the value of (-880)/(-4)*((-55)/(-20))/(-11)? -55 What is the value of (19/1368)/(1/(-8))*24/(-2)? 4/3 Evaluate ((-1334704)/(-98140))/(34/160). 64 What is (-12)/(-18780)*(-336)/630*(-12)/16*25? 2/313 Calculate (-9621)/4276*464/(-36). 29 Evaluate (2088/609)/(39/(-91)). -8 Evaluate ((33/2)/(27/(-24)*16/24))/(-16). 11/8 Calculate 264/495*(-711)/4424. -3/35 What is ((2/(-2))/(-3))/((-109)/1635*140/3)? -3/28 Evaluate 462*35/1225*5/2. 33 Evaluate (141/((-26649)/54))/((-138)/(-7)). -1/69 (12/1876)/((-4)/14)*(-50)/975*-26 -2/67 (3080/16)/11*((-279)/(-62))/(1*21) 15/4 Evaluate (2*(-45)/18)/(-1*(3/(-3))/(-3)). 15 Evaluate ((-44)/36)/((-6534)/2376). 4/9 Calculate 3/12*(-101088)/360126. -4/57 What is ((-2)/31)/(13918/(-9276347))? 43 (8/20)/((-3)/5)*(-573660)/9561 40 What is the value of ((-5)/(-6))/(185*(-189)/60606)? -13/9 ((110/(-13))/11)/((-240)/(-1040)) -10/3 What is (3*8/396*(-12)/2)/((-3198)/451)? 2/39 ((-4)/40)/((-8)/((-2496)/12))*-1 13/5 Evaluate ((-3696)/11088)/((-2)/(-288)). -48 Evaluate ((-6)/15)/(((-85)/(25160/(-111)))/((-3)/2)). 8/5 ((-16)/10)/(15582/5565) -4/7 Evaluate ((15/260)/(11/(-88)*3))/((-3)/24). 16/13 Evaluate ((-5921)/(-955))/(((-18)/60)/3). -62 Evaluate ((-48)/30)/((-7)/(58695/172)). 78 What is 141/((25*(-7)/(-140))/((-65)/(-78)*-1))? -94 Evaluate 88/26*16172/(-2488). -22 What is (-2*-16*21/(-7392))/(((-7)/30)/(-7))? -30/11 Evaluate (-32)/(-28)*(-34)/(1428/1911). -52 (16/(-3220))/(3*((-108)/5670)/((-1)/(-5))) 2/115 (42/15)/(-1)*(-80)/(-32) -7 Evaluate 175/(-840)*-128*7/((-35)/(-6)). 32 Evaluate 900/(-30)*(((-8)/36)/2)/(4/(-72)). -60 What is the value of 3/1390*5*(-10)/25*60/(-18)? 2/139 Calculate ((-7686)/(-25620))/((-5)/((-275)/(-3))). -11/2 ((-12640)/15168)/((-15)/(-4)) -2/9 Calculate 195/(-455)*1568/(-240). 14/5 19/1064*14*(-228)/(-779) 3/41 What is ((-2)/16)/((-165)/(4102560/168))? 37/2 (10/160)/(144/(-25344)) -11 Calculate -12*24/576*(-5)/((-25)/170). -17 What is the value of ((-560)/350)/((-7)/(245/(-63)))? -8/9 What is the value of 266/(-63)*30/(-16)*1872/260? 57 What is the value of (22/330)/(136/(-408))? -1/5 What is ((-234850)/(-75))/(-77)*(-3)/10? 61/5 What is (-27)/(-6)*(-1010)/303? -15 Calculate (96474/(-151602))/(1*-1*8*(-6)/(-1848)). 49/2 Calculate ((-120)/3150*-20)/((-10)/42*-6). 8/15 Evaluate (((-12)/(-25))/((-10)/325))/(16/40). -39 Calculate -3*4/(-429)*(-1221)/222. -2/13 What is 2*45*6642/13284? 45 Calculate ((-35)/90*-9*240/(-84))/((-26)/6). 30/13 Calculate ((-20)/48)/((-89)/(11481/(-3440))). -1/64 14618/679737*((-15)/4)/(-5) 1/62 What is the value of (123256/213)/217*15/(-2)? -20 What is the value of (-27)/72*9/((-108)/1504)? 47 What is (39/(-198)*-3)/(37/74)? 13/11 29/348*(-546)/35 -13/10 What is (-2)/(-4)*6240/22360? 6/43 What is the value of ((-120)/25)/((-46314)/(-51460))? -16/3 Calculate ((-10)/(-34))/(9965/203286). 6 What is the value of (2*9/336)/(((-184)/(-690))/((-14)/(-15)))? 3/16 Evaluate (2/(-10))/(7/21)*10575/(-7614). 5/6 Evaluate (279/(-96))/((-192)/(-512)). -31/4 What is the value of (-3)/2*192/(-1152)*44? 11 10*-74*(-86)/89096 5/7 ((-34)/(306/18))/((-126)/546) 26/3 What is the value of (1*30/(-42)*1)/((-1648)/20188)? 35/4 Evaluate 5/(-100)*1190*(-2)/7. 17 Evaluate 21/126*-15*-34. 85 Calculate ((-16226)/(-21))/19*((-198)/88)/((-9)/(-6)). -61 What is (-3530)/2471*7/(-1130)? 1/113 Evaluate (39/33)/(1880/165440). 104 What is the value of -6*304/192*(425/5491)/(-25)? 1/34 What is the value of (-12)/10*5220/2088? -3 (277911/(-146))/(-81)*-2 -47 Calculate 240/6660*((-2)/12)/((140/(-90))/(-7)). -1/37 What is the value of ((-28)/(-168))/(2685/1440*8)? 2/179 ((-17818)/(-97999))/(1/(-418)) -76 Evaluate (57/45)/(((-32)/2240)/((-15)/(-210))). -19/3 What is the value of 6/(-6)*(-14)/11130*53? 1/15 (86952/18115)/(((-2)/3)/(20/12)) -12 ((-87)/4)/(89394/119192) -29 What is the value of (((-342)/(-24))/19)/(-45*5/(-100))*22? 22/3 (-2)/(-2)*2976/16368 2/11 ((-1)/(-3))/((-1207)/8094*19) -2/17 Evaluate 26/(-1755)*9*21*(-120)/32. 21/2 What is (1*-1)/(238/68*(-74)/8547)? 33 Calculate ((16*57/68400)/(((-6)/(-20))/1))/(-3). -2/135 Evaluate (1/(-2))/(((-7688)/(-124))/6944). -56 Evaluate ((-29)/((-377)/(-26)))/((39*(-42)/18)/(-1)). -2/91 Calculate (18060/5117)/((-15)/(-102)). 24 (22*23/(-3795))/(2/27) -9/5 Calculate (160/650)/(626/(-1565)). -8/13 What is the value of (-2)/1*1425/570? -5 Evaluate 6600/1760*48/(-6). -30 Evaluate (-4)/(-14)*(-15)/510*-17*-84. -12 (18/1920)/((-606)/(-3232)) 1/20 Evaluate (-5)/40*(-33)/22. 3/16 Evaluate (903/(-168)*-4)/(4/24*(-15)/10). -86 ((2849/22)/(-37))/(7/(-46)) 23 What is 14/(-49)*(-1092)/6864? 1/22 What is -3*(-148)/60*(50/15)/(74/(-111))? -37 (-19)/(-988)*-26*14/(-11) 7/11 Calculate 39*90/(-12285)*17/(-2). 17/7 Calculate (-850)/(-102)*10626/805. 110 Evaluate 3/2*(-3101)/(-120939). 1/26 -28*(-37)/((-27010)/73) -14/5 What is the value of 1/10*4*((-1)/15)/((-48)/(-1680))? -14/15 (372*4/(-132))/((-9)/(297/6)) 62 ((-2)/(-12))/(10/15*(23/(-5612))/(-1)) 61 What is (-1)/(-512)*104144/(-6509)? -1/32 What is 162/(-99)*(-9724)/(-25194)? -12/19 Evaluate 432/3840*-5*48. -27 What is (-33)/(-6)*1176/(-392)*3/27? -11/6 Evaluate (-41)/((-328)/240)*28/(952/51). 45 Evaluate 4/(-34)*55896/(-5480). 6/5 92/(-6)*378/(-126) 46 28/40*(3588/(-161))/(-13)*-40 -48 Evaluate ((7/(-2))/(48132/8595))/((-130)/24). 3/26 What is (6*(-5)/(70/22))/((-8721)/(-4522))? -44/9 Calculate 8820/12495*(-170)/(-4). 30 21/9*47/((-238525)/(-522)) 6/25 Calculate ((-12)/(-36))/(((-10)/(-6))/5*6/174). 29 (((-144)/56)/(-3)*(-14)/18)/((-20)/(-1290)) -43 Evaluate (-
{ "pile_set_name": "DM Mathematics" }
f c? 6 Let b(l) = -2*l + 5*l - 4*l - 49*l**3 + 110*l**3 + l**2 + 1. Suppose -3*c - 2 = -0*r - 5*r, 0 = -4*r + 4. What is the units digit of b(c)? 2 Let o(p) = p**3 + 88*p**2 - 116*p - 395. What is the thousands digit of o(-79)? 4 Suppose 50 = 31*w - 12. Suppose -14*d + w*n - 1034 = -18*d, -4*n = -3*d + 803. What is the tens digit of d? 6 Suppose -3*t + 2*t + 33 = 0. Let z be ((-1)/((-2)/8))/(76 + -74). Suppose 0 = -4*d + 3*g - 7*g + 80, -t = -z*d + 5*g. What is the units digit of d? 9 Let q(r) = 5*r**2 - 99*r - 100. Let u(l) = l**2 - 20*l - 20. Let s(t) = -2*q(t) + 11*u(t). Let k be s(23). What is the hundreds digit of (1 + 195)*(-2 + k)? 1 Suppose 3*d + 3*q - 519 = d, d = -3*q + 252. Let b = 802 - d. What is the hundreds digit of b? 5 Let v be 3/(2*(0 - (-4)/1544)). Suppose 0 = -17*d + v + 2362. Let m = -86 + d. What is the units digit of m? 7 Suppose 69061 + 352331 = -372*n + 396*n. What is the tens digit of n? 5 What is the ten thousands digit of ((-15)/135 + (-184262)/117)*342/(-21)? 2 Let d be 2*10*8721/34. Suppose 0 = -4*q - x + d, 12*q + 5122 = 16*q - 3*x. What is the thousands digit of q? 1 Suppose 265*b = 59*b + 2979378. What is the hundreds digit of b? 4 Let u(b) = b**2 + 6*b + 20. Let g be u(-6). Let s(n) = n**3 - 20*n**2 + 2*n + 48. What is the units digit of s(g)? 8 Let f = -313 + 318. What is the tens digit of (9/f*-3)/((-6)/20)? 1 Suppose 15134 = -30*w - 10456. Let p = w - -998. What is the tens digit of p? 4 Suppose -332 = -48*d + 52*d. Let g = -71 - d. Suppose -5*y + g = -y, -682 = -5*v - 4*y. What is the units digit of v? 4 Let s = 165 + -21. Suppose -s = -8*a + 4*a. Suppose 2*y - a = 86. What is the tens digit of y? 6 Let o be 5/(-5)*(3 + -3). Suppose 12 = 6*s - o*s. Suppose 4*f - s*f - 3*x = 22, f - 21 = -x. What is the tens digit of f? 1 Let w be 1/(-5) - (-63)/90*6. What is the tens digit of w - (-55)/(-15) - 3524/(-12)? 9 Suppose -4*p + 8 - 12 = 0, 4*g - p = -1367. What is the tens digit of (-4*(-68)/24)/((-3)/g)? 9 Let r(q) = -q**2 - 18*q - 72. Let v be r(-10). What is the hundreds digit of (-1530)/(-4)*v/5? 6 Suppose 4*y - 20 = l + 154, -4*y = 0. What is the thousands digit of ((-2)/5 + l/(-10))*107? 1 Let g = -3263 - -17558. What is the units digit of g? 5 Suppose -10*p + 7214 + 9286 = 0. Suppose -p = -5*k - k. What is the tens digit of k? 7 Let s = 255 + -36. Suppose -5*b = -s - 11. Suppose -3 - b = -m. What is the tens digit of m? 4 Let d = 8351 - 4417. What is the tens digit of d? 3 Let i = -2633 - -7353. What is the thousands digit of i? 4 Suppose 15*c = 20*c - 95. Let r(a) = -80 + 159 - 66 + c*a. What is the units digit of r(6)? 7 Let y(q) = 353*q**2 - 405*q - 1214. What is the tens digit of y(-3)? 7 Let j(x) = -2*x + 36. Let y be j(12). Suppose -4*h + 8 = -4*r, 5*h - 4*h - y = 3*r. What is the units digit of -1 - h - -62 - (-1 + 4)? 1 Let z = -67 - -89. What is the tens digit of (-12)/(-8) - (-6127)/z? 8 Let n = 9422 + 4106. What is the units digit of n? 8 Suppose i - 18101 = c, -i + 18104 = 82*c - 80*c. What is the units digit of i? 2 Suppose 3468 = -6*j + 12*j. Let w = -376 + j. What is the units digit of w? 2 Let u(i) = -i**2 - 18*i - 29. Let f be u(-16). Suppose -2*j + f*j + 48 = 0. Let t = 138 + j. What is the units digit of t? 0 Let i(d) = -6540*d - 7815. What is the ten thousands digit of i(-11)? 6 Suppose -15*h = -12*h + 39. Let n(p) = p**3 + 7*p**2 + 4*p. Let m be n(-4). Let l = m - h. What is the units digit of l? 5 Let o(a) = -a**3 + 4*a**2 + 5*a - 8. Let u be o(4). Suppose 5*i + 34 = 4*l, i + 41 + u = 5*l. What is the units digit of (-2898)/(-154) + 2/l? 9 Suppose -4*m - 3 = -63. Suppose -l = -m*l - 2086. Let v = -74 - l. What is the units digit of v? 5 Suppose 10 = 2*v + m, 2*v - 17*m + 12*m = -14. Suppose 2153 = v*l - 2038. What is the tens digit of l? 9 Suppose 0 = -4*h - 162*u + 159*u + 27635, -3*h + 2*u = -20756. What is the hundreds digit of h? 9 Suppose 3 = 5*i - 3*t, 3*i + i + 2*t + 2 = 0. Suppose 14*v - 5*v - 72 = i. What is the units digit of v? 8 Let c(a) = a**3 - 2*a**2 + 9*a - 28. Let t be c(3). Suppose 0 = -t*v - 871 + 4503. What is the units digit of v? 4 What is the hundreds digit of (-3 - -49)*(10 - (-145)/10)? 1 Suppose 203*w = 204*w - 5*t - 11439, 34357 = 3*w - 5*t. What is the tens digit of w? 5 Let u(d) be the first derivative of 2*d**3/3 - 9*d**2 - 2*d - 29. What is the hundreds digit of u(-4)? 1 Let h(t) = 11 + 8*t**2 - 6 - 14*t + 13*t - t**3. Suppose -2*n = 2*n + 5*u - 1, -4*n + 13 = u. What is the tens digit of h(n)? 6 Let o = 453 - 319. Let r = -60 + o. Suppose 2*x + 2*j = 3*j + 120, -4*j - r = -x. What is the tens digit of x? 5 Suppose 0 = 57*t - 51*t - 47256. Suppose -8*q = -t + 2460. What is the tens digit of q? 7 Let h(f) = 5*f**2 - 263*f - 69. What is the ten thousands digit of h(90)? 1 Let d = 65760 + -17647. What is the units digit of d? 3 Let a(b) = -56*b**3 + 3*b**2 - 2. Let t be a(1). Let o be 35/(-7)*111/(-3). Let s = t + o. What is the units digit of s? 0 Suppose 986 = 3*x - 79. Suppose x = 2*n - 2*r - 235, -1210 = -4*n - 2*r. What is the hundreds digit of n? 3 What is the ten thousands digit of -303*((-1724)/30 - 292/(-365))? 1 Suppose -9*c - 258 - 1002 = 0. What is the hundreds digit of (984/15)/((-14)/c)? 6 Suppose -3*o + 22541 = 55*l - 50*l, 4*l = -o + 7516. What is the thousands digit of o? 7 Let z(v) = 84*v**2 - 2*v - 6. Let k be z(4). Suppose 3*t + 2*t = k. Suppose 0 = 24*f - 26*f + t. What is the hundreds digit of f? 1 Suppose 2*s - 3*x + 1 = 0, -4*x = 5 - 1. Let g be (-10)/(s + (-24)/(-9)). What is the hundreds digit of (-62)/6*(-5 + g + -4)? 2 Let f = 3294 + -3259. What is the units digit of f? 5 Suppose 0 = -f + 4*g - 5*g + 914, -2*f + 3*g = -1843. Suppose -3*m = -f - 1825. What is the units digit of m? 4 What is the units digit of -186*((-11816)/12)/7? 4 Let x = -3915 + 9855. Suppose -2*d = -17*d + x. What is the units digit of d? 6 Suppose 108 = 28*g - 15*g + 498. Let x = -57 - -233. Let v = x + g. What is the hundreds digit of v? 1 Let a be (-2)/(11308/3024 + -4 + 18/72). Let g = -106 + 48. Let b = a + g. What is the units digit of b? 1 Let c(y) = y**3 - 14*y + y**2 - 8*y + 16*y + 435. What is the units digit of c(0)? 5 Suppose -68*t - 41090 = -73*t. What is the hundreds digit of t? 2 What is the units digit of 112/(-80) - (-2321496)/90? 3 Let b = -13972 - -36683. What is the thousands digit of b? 2 What is the hundreds digit of 86788/14 - 2/14? 1 Let b(m) be the second derivative of 7*m**5/20 + 17*m**3/6 - 119*m**2/2 - 233*m. What is the thousands digit of b(6)? 1 Suppose -3*v = 4*r - 11, -2*v = -0*r - r + 11. Suppose -r*y = -1001 - 4714. What is the tens digit of y? 4 Let g(q) = -35*q - 3. Let c be g(-2). Let o be (-3 - 51/(-9) - 3)*-3. What is the units digit of (c + o)/(9/18)? 6 Let m be ((-795)/6 + 3)*8. Let h = m - -1781. What is the hundreds digit of h? 7 Let a = -8 - -28. Suppose a = 8*d - 18*d. What is the units digit of d/(-10) + (-1246)/(-70)? 8 Suppose -65 = -0*r + 5*r. Let h = r + 13. Suppose -2*k = -h*k + w - 160, -k + 80 = 5*w. What is the tens digit of k? 8 Let n = -33 + 37. Let f(x) = 4*x**3 + 6*x**2 + x - 1. Let r be f(n). Suppose -r = -2*i - 3*i. What is the tens digit of i? 7 Suppose 240*g + 57 = 3*f + 236*g, g = 4*f - 76. Let y = 61 - 118. Let q = f - y. What is the units digit of q? 6 Let y be (403/(-3) + (-76)/114)*3. Let l = y - -1003. What is the tens digit of l? 9 Let s = -86 - -86. Suppose s = -p + 3*c + 117, -6*c = 3*p - 3*c - 303. What is the hundreds digit of p? 1 Let j be 261/(-5) - 28/35. Let z = -71 - -153. Let g = j + z. What is the tens digit of g? 2 Suppose -2616 = -7*u + 373. Let o = u + -241. What is the hundreds digit of o? 1 Let b(k) = 3*k**2 - 91*k - 1226. What is the hundreds digit of b(107)? 3 Let s(a) = 106*a**2 + 3*a - 74. What is the units digit of s(7)? 1 Suppose 9*r + 0*r - r = 0. Suppose 2*z + 23*z - 17550 = r. What is the tens digit of z? 0 Let o(z) = -z**2 + 3*z + 646. Let s be o(0). Suppose -3*b + s = 3*g - 32, -5*g + 900 = 4*b. What is the hundreds digit of b? 2 Let c = 85244 - 48428. What is the units digit of c? 6 Let b = 15671 - -1980. What is the hundreds digit of b? 6 Let l(w) = -7*w - 1 + 8*w + 8. Let x = -2 + 2. What is the units digit of l(x)? 7 Suppose 5*r = -h + 14948, 5*r - 3*h = 4
{ "pile_set_name": "DM Mathematics" }
, -12995, -15140? -17279 What comes next: -84, -328, -990, -2280, -4408? -7584 What is next in 3671, 3610, 3489, 3278, 2947, 2466? 1805 What is the next term in -123010, -492028, -1107058, -1968100, -3075154? -4428220 What is next in 206, 338, 420, 428, 338, 126? -232 What comes next: -52827, -105643, -158459, -211275, -264091? -316907 What is the next term in 7686, 15372, 23056, 30738, 38418, 46096? 53772 What is the next term in -2778, -2663, -2548? -2433 What comes next: -2541, -2532, -2525, -2520? -2517 What comes next: -3181, -6708, -10237, -13768, -17301, -20836? -24373 What is next in 28461, 28462, 28463? 28464 What is next in 32066, 64171, 96276, 128381, 160486, 192591? 224696 What is the next term in 4641, 9283, 13925, 18567? 23209 What is the next term in -130194, -260391, -390588, -520785, -650982? -781179 What comes next: 14104, 13888, 13660, 13414, 13144, 12844, 12508? 12130 What comes next: 1143084, 1143085, 1143086? 1143087 What is next in 240796, 240802, 240818, 240850, 240904, 240986, 241102? 241258 What comes next: 228, 321, 218, -177, -960, -2227, -4074? -6597 What comes next: 3416, 27422, 92600, 219536, 428816, 741026, 1176752, 1756580? 2501096 What comes next: -371, -5884, -15065, -27908, -44407, -64556, -88349, -115780? -146843 What comes next: 8483, 17023, 25553, 34067, 42559, 51023? 59453 What is next in 410, 329, 252, 179, 110, 45, -16? -73 What is next in 1295, 1292, 1273, 1238, 1187? 1120 What comes next: -280714, -280717, -280720, -280723? -280726 What is the next term in -2407, -19226, -64877, -153778, -300347? -519002 What is the next term in -396, -1656, -3756, -6696? -10476 What is the next term in 1781, 1044, 307, -430, -1167, -1904? -2641 What is the next term in 6135, 12224, 18309, 24390, 30467, 36540, 42609? 48674 What comes next: -186, -175, -156, -129, -94? -51 What is next in -34257, -68503, -102745, -136983, -171217, -205447? -239673 What is next in -216, -518, -820, -1122, -1424? -1726 What is next in 18, 82, 164, 258, 358? 458 What is next in 1327, 5340, 12035, 21418, 33495, 48272? 65755 What is next in -896, -1760, -2614, -3452, -4268, -5056, -5810? -6524 What is next in 42, 321, 1058, 2481, 4818? 8297 What is next in -4572, -4557, -4528, -4479, -4404? -4297 What comes next: -55, -583, -2019, -4819, -9439, -16335, -25963, -38779? -55239 What is the next term in -138, 38, 500, 1392, 2858, 5042, 8088? 12140 What comes next: 545569, 545567, 545565, 545563, 545561, 545559? 545557 What is the next term in 119578, 478322, 1076230, 1913302, 2989538, 4304938? 5859502 What comes next: -1102, -4382, -7662, -10942, -14222? -17502 What is next in -531567, -1063133, -1594697, -2126259, -2657819, -3189377, -3720933? -4252487 What is the next term in -1970, -1986, -2016, -2066, -2142, -2250, -2396? -2586 What is the next term in -3560, -3555, -3544, -3521, -3480, -3415, -3320? -3189 What is next in -1876, -3329, -4782, -6235, -7688? -9141 What is next in -48, -49, -50? -51 What is next in 556, 1864, 4050, 7120, 11080, 15936, 21694? 28360 What is the next term in -23498, -47002, -70512, -94028? -117550 What is next in -463, 20, 513, 1022, 1553, 2112, 2705? 3338 What comes next: -248, -1485, -4426, -9791, -18300, -30673, -47630, -69891? -98176 What comes next: -634, -590, -482, -280, 46? 526 What is next in 17, -54, -121, -184, -243, -298, -349? -396 What is next in -1321, -1245, -1051, -679, -69, 839? 2105 What is the next term in 12021, 12020, 12019, 12018, 12017? 12016 What is the next term in -241, -902, -1985, -3490, -5417, -7766? -10537 What comes next: 529, 899, 1269, 1639, 2009? 2379 What comes next: 116, 728, 1766, 3230? 5120 What is the next term in -88915, -177817, -266719, -355621, -444523, -533425? -622327 What is next in -340, 61, 462, 863? 1264 What is the next term in -486, -976, -1466, -1956, -2446? -2936 What is the next term in 136177, 544715, 1225611, 2178865? 3404477 What is next in -11553, -23155, -34845, -46665, -58657, -70863? -83325 What comes next: 150, 301, 446, 585, 718? 845 What comes next: -6569, -26322, -59253, -105362? -164649 What comes next: 22, 25, 46, 97, 190, 337, 550? 841 What is next in 2323, 2287, 2231, 2149, 2035, 1883, 1687, 1441? 1139 What comes next: 436, 2211, 5184, 9367, 14772, 21411, 29296? 38439 What comes next: 23642, 94767, 213314, 379289, 592698, 853547, 1161842, 1517589? 1920794 What comes next: 1057, 1039, 985, 877, 697, 427, 49, -455? -1103 What is the next term in 113, 211, 319, 437, 565, 703, 851? 1009 What is next in -4247, -8561, -12875, -17189? -21503 What is next in 7688, 15372, 23056, 30740, 38424? 46108 What is the next term in -62, -27, 106, 349, 714, 1213, 1858? 2661 What is the next term in -1000, -2047, -3132, -4255, -5416, -6615, -7852? -9127 What is next in 35, 109, 241, 431, 679? 985 What comes next: -196, 11, 224, 443, 668, 899, 1136? 1379 What is the next term in -27345, -54683, -82015, -109341? -136661 What comes next: 526, 2044, 4554, 8056, 12550, 18036? 24514 What is the next term in -921447, -1842888, -2764327, -3685764, -4607199, -5528632, -6450063? -7371492 What is the next term in -1063, -2145, -3227, -4309, -5391, -6473? -7555 What is next in -19412, -38837, -58262, -77687, -97112, -116537? -135962 What comes next: 305, 570, 823, 1058, 1269, 1450, 1595, 1698? 1753 What is the next term in -3510, -3512, -3522, -3546, -3590, -3660, -3762, -3902? -4086 What is the next term in -524, -1250, -1974, -2696, -3416? -4134 What comes next: -23037, -92143, -207319, -368565, -575881, -829267, -1128723? -1474249 What is the next term in -140345, -140347, -140349, -140351, -140353, -140355? -140357 What is the next term in -599, -1231, -1839, -2411, -2935, -3399? -3791 What is next in 168, 389, 656, 969, 1328, 1733, 2184? 2681 What is the next term in 56963, 113958, 170979, 228038, 285147? 342318 What comes next: 674, 2836, 6420, 11414, 17806? 25584 What is the next term in 969, 928, 845, 708, 505, 224, -147? -620 What is the next term in 2456, 2446, 2414, 2348, 2236, 2066, 1826? 1504 What comes next: -15838, -15594, -14932, -13642, -11514? -8338 What is the next term in -2097, -2105, -2125, -2163, -2225, -2317, -2445? -2615 What is the next term in -10345, -20703, -31075, -41461, -51861? -62275 What is next in 152, 224, 300, 380? 464 What is the next term in 60660, 121329, 182004, 242685, 303372? 364065 What is next in -807, -1227, -1645, -2055, -2451, -2827, -3177, -3495? -3775 What comes next: -106, 12, 132, 254? 378 What is next in -530063, -1060126, -1590189? -2120252 What is the next term in 34491, 68950, 103409, 137868? 172327 What is the next term in 583, 2238, 4991, 8836, 13767, 19778, 26863, 35016? 44231 What is the next term in -20304, -20305, -20306? -20307 What is the next term in 501908, 501912, 501916, 501920, 501924, 501928? 501932 What comes next: 8468, 16805, 25142? 33479 What is next in 2221, 8886, 19995, 35548, 55545? 79986 What comes next: 2136, 4524, 6912, 9300, 11688? 14076 What comes next: 305, 1264, 2871, 5126, 8029, 11580? 15779 What comes next: 298, 518, 758, 1030, 1346, 1718? 2158 What is next in -2959, -11835, -26627, -47335? -73959 What is next in -2754, -5560, -8366, -11172? -13978 What is the next term in -733, -1540, -2367, -3226, -4129, -5088? -6115 What is the next term in 3655, 14315, 32081, 56953, 88931? 128015 What is next in 37848, 37974, 38088, 38184, 38256, 38298, 38304? 38268 What comes next: 1687, 3116, 4555, 6010, 7487, 8992, 10531? 12110 What is next in 177, 189, 203, 219, 237, 257, 279? 303 What is the next term in -245, -433, -621, -809, -997, -1185? -1373 What comes next: 41, 283, 525, 767? 1009 What comes next: 726, 2840, 6364, 11298, 17642? 25396 What comes next: -363, -424, -529, -672, -847, -1048? -1269 What is next in 91648, 91461, 91158, 90745, 90228, 89613, 88906, 88113? 87240 What is next in -91484, -182968, -274452, -365936? -457420 What is next in 5, -45, -83, -103, -99? -65 What comes next: -297, -278, -251, -216, -173? -122 What is the next term in 47, 272, 845, 1934, 3707, 6332, 9977? 14810 What is next in -97, -426, -1019, -1888, -3045, -4502, -6271, -8364? -10793 What comes next: 19161, 19116, 19057, 18978, 18873, 18736, 18561? 18342 What comes next: 254841, 254840, 254839, 254838, 25483
{ "pile_set_name": "DM Mathematics" }
*x. Let c(f) be the second derivative of f**4/12 - f**3/2 + f**2 + 8*f. Calculate c(x). 6 Let s(w) = -w**2 + 7*w - 1. Suppose -1 = -m + 4. Determine s(m). 9 Let h(v) be the second derivative of v**4/6 - v**3/6 + v**2 - 21*v. Calculate h(-2). 12 Let o(c) = -2*c + 1. Let x(w) = -w**3 - 4*w**2 - 2*w. Let q be x(-3). Let m be (q - -2)*(-3 - -1). What is o(m)? -3 Let o(f) = -f**3 + 4*f**2 + 6*f - 7. Suppose 0*x - 2*x + 128 = 0. Let r be (-3)/(-7) - x/(-14). What is o(r)? -2 Let z = -665/6 - -111. Let o(t) be the second derivative of -1/12*t**4 - z*t**3 - 4*t + t**2 + 0. Determine o(2). -4 Let x(w) be the second derivative of w**5/20 - w**4/4 - w**3 + w**2 - 2*w. Let i(l) = l**2 - 9*l + 4. Let t be i(9). Calculate x(t). -6 Let p(f) = f**2 + 4*f - 6. Let j be (-2)/(-10) - 78/15. Let w be p(j). Let o(n) = -4*n**2 - n - 1. Determine o(w). -4 Let r(d) be the first derivative of 4*d**2 - d - 1. Suppose 0 = -5*q + 3*c - 2, 2*q = 7*q - 2*c + 3. What is r(q)? -9 Let s(v) be the third derivative of -7*v**4/12 + v**3/6 + v**2. Suppose -4*g = -4*h + 12, -2*g = 2*h - 5 - 5. Calculate s(g). -13 Let j(w) = w**2 + 7*w - 10. Let y be ((-2)/(-6))/(3/(-81)). What is j(y)? 8 Suppose -2*q - 16 = -4*q. Suppose 0 = -2*t - w + 3, -w - 10 = -5*t + q. Let m = -5 + t. Let h(c) = c - 2. Give h(m). -4 Let k(x) be the first derivative of x**4/4 - 5*x**3/3 + x**2 + 6*x - 20. Give k(5). 16 Let h(s) = 96*s**2 - 6*s + 3 - 97*s**2 + 3*s. Let w(u) = u**2 + 8*u + 8. Let x be w(-6). Give h(x). -1 Let d(y) = y. Let u be d(-2). Let a be (u - -5)*2/(-2). Let j(z) = 5 - 5 + 3*z + 4. What is j(a)? -5 Let w(u) = u**2 - 3. Let a(m) = -m**3 + 2 - m**2 - 3 - 2*m + m. Suppose 5*j - 2*j = -3. Let r be a(j). Determine w(r). -3 Let g(m) = 2 - 13*m + 12*m - 2 - m**2. Calculate g(2). -6 Let h(z) = -z + 5 + 0 - 4. Suppose b + 6 = 2*g, 0*b + 4*g = -2*b + 20. Suppose -3*l - 20 = b*f, 2*l + 3*f = 4*f - 4. What is h(l)? 5 Let h be (-10)/(3*1/3). Let d = h + 6. Let z(q) be the third derivative of -q**5/60 - q**4/24 + 2*q**3/3 + 2*q**2. Determine z(d). -8 Suppose -30 = -v - 5*v. Let q(i) = -2*i - 3*i - i**3 + 2 + i + 6*i**2. Calculate q(v). 7 Let f(i) = i**3 + 4*i**2 + 4*i + 3. Suppose 4 = -3*d + 5*p + 23, -19 = 2*d + 3*p. What is f(d)? 3 Let z(q) = -9*q**3 - 5*q**2 - q - 3. Let c(x) = -8*x**3 - 4*x**2 - x - 2. Let k(g) = -4*c(g) + 3*z(g). Determine k(1). 6 Let d(b) = 0*b + 3*b - 3 - 2*b + 0. What is d(-3)? -6 Suppose -17*m = -16*m. Let p(a) be the third derivative of 7/60*a**5 - 1/12*a**4 + m*a - 4*a**2 + 0 + 1/6*a**3. What is p(1)? 6 Let c(n) = 2*n + 1. Let p(x) = -x - 4. Let f be p(-4). Suppose f = 3*a - 2*h + 5, 3*h - 11 = 4*a - 4. Let v be 0/(-1) - (a - -5). Calculate c(v). -7 Let o = -4 + 7. Let v(s) = o + 4*s**2 - s**2 - 4*s**2 - 3*s. Calculate v(-3). 3 Suppose -9 = -3*w - 0*w. Let d(t) be the second derivative of t**4/24 - t**3/2 + t**2 + t. Let a(f) be the first derivative of d(f). What is a(w)? 0 Let y be (-4)/(-14) - 12/(-7). Let d be (25/(-10))/(y/(-4)). Let z(f) = f + 2*f**2 + 13*f**3 - d*f**3 - f**2. Determine z(-1). -8 Let h = -11 + 6. Let g(j) be the second derivative of j**4/12 + j**3 - 3*j**2/2 - 9*j. What is g(h)? -8 Let n(p) = -p + 2. Let c be n(0). Let g = c - 2. Let z(d) = d + 1 + 3012*d**2 - 3012*d**2 - d**3. Give z(g). 1 Suppose o + 0*o = 4*z - 7, z = 2*o. Let s be -2 + 5 + o + 2. Let w(l) = -l**3 + 6*l**2 + l - 6. Determine w(s). 0 Suppose u - 3 - 2 = 0. Suppose -2*b - 5*h = 0, 0 = u*b + 2*h + 3*h. Let y(d) = d**2 - 4 + 5*d**2 + d**3 - 5*d**2 - 2*d**2. Give y(b). -4 Suppose -4*j - 10 = j. Let t(f) = 24 - 22 - f - 2*f. Determine t(j). 8 Let w(f) = f - 2. Let v be w(4). Let g(x) = 3*x - 3*x**v + 0*x**2 - 5*x + x**3. Give g(3). -6 Let w(f) = f**2 - 1. Let q(z) = -7*z**3 - 8*z**2 + 2*z + 5. Let v(r) = -q(r) - 6*w(r). Determine v(1). 8 Let b be (2/1)/((-6)/(-15)). Let t(d) = -4*d + 0*d - 6 + 2*d**3 - 2*d**3 - 4*d**2 + d**3. Give t(b). -1 Let d(p) = -p**3 + 5. Let t be -1 - 2/(-3 + 1). Suppose 6*j - 3*j = t. What is d(j)? 5 Let z(s) = s**3 - 3*s**2 + 8*s - 1. Let j(w) = -2*w**3 + 3*w**2 - 9*w + 2. Let p(r) = -2*j(r) - 3*z(r). Determine p(-4). 7 Suppose -w - 2 = 2. Let u(f) be the first derivative of -f**4/4 - f**3 + 5*f**2/2 - 3*f - 1. Give u(w). -7 Let u = 1 - -1. Let r(h) = -2*h + 4*h + 2 - h**3 + u*h**2 - 5. Let b be ((-6)/(-10))/((-2)/80*-12). What is r(b)? 1 Let x(o) = -2*o. Let y be (1/(-2))/((-4)/24). Suppose -4*b - 6 = 2*z, b = 2*z + y*z - 29. Suppose -z*p = -h - 4*h - 20, -2*p + 11 = -3*h. What is x(h)? 6 Let w(k) = -1 - k - 2 + 0*k. Suppose h - 39 = -35. Give w(h). -7 Let l(m) = m + 7. Let j = 143 - 150. What is l(j)? 0 Let b(w) = w**2 - 5*w + 2. Suppose 3*a + 4*h = 53, 2*h = -4*a + h + 88. Let z be (-8)/(-20) + a/5. Determine b(z). 2 Let h(n) = -n + 3. Let p be h(0). Suppose -5*w = -c - p, 5*c = 3*w + 2*c - 9. Let f(t) = t**2 - t - 3. Determine f(w). -3 Let y(a) = 38*a - 61*a + a**3 - 3 + 31*a - 8*a**2. Give y(7). 4 Let a = 10 - 5. Let o(c) = 0 + a + 5*c**2 - 4*c**2 - 6*c. Let w be o(6). Let f(v) = -2*v + 6. What is f(w)? -4 Let c(i) = -10*i**2 + 11*i - i**3 - i + 10 - 8*i. Determine c(-10). -10 Let k(n) = 0*n + 3 + n**2 - 3*n**2 + 2*n + 3*n**2. What is k(-3)? 6 Let h(g) = g + 17. Let s be h(-15). Suppose -s*d + 5*d - 3 = 0. Let m(k) = -16*k**3 + 1. What is m(d)? -15 Let d(w) be the third derivative of w**4/8 + w**3 + 6*w**2. Calculate d(-4). -6 Let b(t) = -t. Let i(q) = -3 + 2*q - 2 - q + 4*q. Let p(w) = 4*b(w) + i(w). Suppose -25 = 5*k - 5*r - 10, -5*k - 4*r + 12 = 0. Determine p(k). -5 Let k(q) be the third derivative of -q**6/120 - q**5/12 + q**4/4 - 5*q**3/6 + 24*q**2. Calculate k(-6). -5 Let j(o) = o**2 - 7*o + 5. Let u(f) = -3 + 5*f - f**2 + 3. Let b be (-6 + 2)*(-2 + 1). Let m be u(b). Give j(m). -7 Let r be 1/(2 - 11/5). Let p = 7 + r. Suppose 2*t + 3*n = -0*t - 18, 2*t = p*n + 2. Let q(v) = -2*v - 2. Calculate q(t). 4 Let h be 7*5/((-105)/(-6)). Suppose 0 = -5*s - 4*x + 25, 0*s + 3*x = -s + 16. Let j(y) = y + 2. Let d(w) = -1. Let t(b) = s*j(b) + 3*d(b). Determine t(h). 1 Let h(i) = 0*i - 1 + 0*i + 3*i. Let z = 10 + -7. Suppose -z*a + 1 = -5. Calculate h(a). 5 Suppose 5*d + 1 = -24. Let w = d - -7. Let t(z) = z - 3*z**3 + 2*z + z**2 + 4 + 2*z**w + 2*z**3. Calculate t(4). 0 Let t(o) = 3*o**3 - 4*o**2 + 2*o - 6. Let z(n) = 2*n**3 - 4*n**2 + n - 6. Let u(x) = -3*t(x) + 4*z(x). What is u(-4)? 2 Suppose 12*t - 8*t = 0. Let o(l) be the second derivative of t - 1/3*l**4 + 1/20*l**5 + 1/3*l**3 + 1/2*l**2 - l. Determine o(2). -3 Let g be 1*6*2/8. Let h(b) be the first derivative of b - 1 + g*b**2. Determine h(1). 4 Let l(j) be the first derivative of j**4/4 + 5*j**3/3 - 3*j**2/2 - 3*j + 11. Give l(-6). -21 Let c(h) = -3*h - 3*h + 1 - 3*h + 5*h. What is c(1)? -3 Let w(c) = c**3 - c**2 - 10*c + 4. Let n(y) = -y**2 + 1. Let a(b) = -6*n(b) - w(b). Calculate a(8). 6 Let u(b) = -b**2 - 6*b - 5. Suppose 5 = -d - 0*d. What is u(d)? 0 Let d(m) = 5*m**3 + m**2 + m - 1. Let p be 7/21 + 2/3. Let s be d(p). Let t(l) = l**2 - 6*l - 4. Determine t(s). -4 Let q(u) = 2*u - 11. Let h be -2*4*(2 + -3). What is q(h)? 5 Let i(z) be the second derivative of -1/6*z**3 + 5/12*z**4 + 0*z**2 + 0 - 6*z. Give i(-1). 6 Let p(z) = -z + 7. Let x(g) = -g**2 + 5*g + 6. Let a be x(5). What is p(a)? 1 Let t(a) = -9 + 7 - 9*a + 3. Give t(-1). 10 Let t(w) = -w + 1. Suppose 2*h + 5*x + 10 = 4*h, 0 = -3*h - x + 15. Calculate t(h). -4 Let k(f) = -f**2 + 4. Let g(h) = -h**3 - h**2 + 3*h + 1. Let y be g(-2). Let v = 2 - y. Determine k(v). -5 Suppose 0 = -5*u - 4*d - 0*d + 57, 2*d + 4 = 0. Suppose 2 = -a + 7. Let o(n) = -5*n + a*n - u - n. Give o(0). -13 Suppose -2*q + 4 = -0. Let n = -6 + q. Let b(y) = -y**2 - 5*y - 3. Calculate b(n). 1 Let x(a) = -a - 9. Let s be x(-15). Let b(t) = -t**3 + 5*t**2 + 7*t - 5. Give b(s). 1 Suppose 3*m - 5*f = -10, -3*m - 5 = 5*f + 15. Let i = 10 + m. Suppose -3*w + 0*l + 19 = 5*l, -i*w - l + 17 = 0. Let y(s) = -s**2 + 4*s + 1. What is y(w)? 4 Let l(v) = -11*v**2 + 10*v**2 + 6*v**2 - v. Give l(-2). 22 Let y(u) = 7 - 6 - 2 + 6*u. Determine y(1). 5 Let f(k) = -k**2 + 7*k + 16. Let c be f(9). Let q(h) = h**2 + 5*h. Let d be q(-5). Let x(b) = 2 - 5*b - 5 + d. Calculate x(c). 7 Let i(q) be the first derivative of -q**4/4 + 7*q**3/3 - q**2/2 + 9*q - 2. Let u(r) = 3*r - 47. Let d be u(18).
{ "pile_set_name": "DM Mathematics" }
**(-1/6)/((o**(-2)/o)/o))**(6/17) assuming o is positive. o**(-2534/51) Simplify v**(1/2)/(v*v**(-4)/v)*v*v**(-2/17)*((v/v**(2/7))/v)/v*(v**(3/4)/v*v**(3/2))/(v*v**(-2/3))**(-1/14) assuming v is positive. v**(7669/1428) Simplify ((h/(h**(-2)*h))/(((h/h**2)/h)/h*h)*(h*h**(-2/19))/(h/(h*h**(-17))))**(26/7) assuming h is positive. h**(-5980/133) Simplify ((p*(p/p**(-4))/p)/p**(2/15))**(3/50)/((p**(-1))**32*(p**(-2/7))**(2/53)) assuming p is positive. p**(2996083/92750) Simplify (t**(-1/12)/t**11)**(7/5)/((t**(2/5))**21*t/((t*(t**8*t)/t)/t)*t*t*t/t**(-6)*t*t*t) assuming t is positive. t**(-347/12) Simplify ((w**(-3/25)*w)**(7/5)*(w**(-27)/w)**(12/7))**(-2/41) assuming w is positive. w**(11692/5125) Simplify ((p**(-1/18)/(p*p**(-13)/p)*(((p*p/(p**(-3)*p*p))/p)/p*p*p)**7)**(-33))**(2/61) assuming p is positive. p**(-6721/183) Simplify ((t**(5/4))**(-23)*t**(-1/8)*t/((t/(t/t**(-2/57)*t)*t)/t))**49 assuming t is positive. t**(-599711/456) Simplify (((l/l**(4/7))/l**1*(l**2)**12)**36)**(-5/6) assuming l is positive. l**(-4920/7) Simplify (a*(a/a**(-3/5))/a*a/((a*a**(-1/3)/a)/a)*(a*a/((a*a/((a/(a**(-24)/a))/a))/a))**(-12))**33 assuming a is positive. a**(-50831/5) Simplify ((i/(i*i**(2/11)))/(i*(i*i/(i/i**2))/i))**(-24)*(i**(-5)/i*i**(-2/25))**(4/15) assuming i is positive. i**(308312/4125) Simplify ((j*j/j**2*j**(-5))/(j**(3/2)*(j/((j/(j**(2/7)/j*j)*j*j)/j))/j))/((j/((j*j**(-1/11))/j))/j**5*(j**(1/4))**(-1/83)) assuming j is positive. j**(-22333/25564) Simplify ((x*x*x/(x*x**(-3/7)/x)*x*x)/(x**(-1/6)*x))/(x/x**0)**(1/24)*x*(x/((x*(x*x**(-1/2))/x)/x))/x*x**(-1)/x*x**(-5)*x*x**(-4) assuming x is positive. x**(-221/56) Simplify (d**6*d**(2/9)/d)/((d/(d*d**(3/7)))/(d*d/d**5*d))*(d/(d*d**7))/(d*d/(d*d**5))*d**1*((d*d*d**(-6))/d*d)/d assuming d is positive. d**(-211/63) Simplify x*x*x**4*x**(-1/3)*(x/(x**(2/27)*x*x))/x*x**4*x*((x**(2/3)/x)/((x**(1/2)*x)/x*x*x))/(x**(-7)*x*x**(-3/4)/x) assuming x is positive. x**(1459/108) Simplify ((l/l**11*l**(-1))/((l*l/(l/(l/(l/(l/l**(-2/29))))))/l**(-2/7)))**(-30) assuming l is positive. l**(81330/203) Simplify (((y/y**23)/y*y*y**(6/5))/(y**14*y*(y*y**(15/8)/y*y*y)/y*y))**(-3/44) assuming y is positive. y**(4761/1760) Simplify (y**(-2/7)/y*y**(-6))**35/((y/y**(-1))**(28/5)*((y**(-2/13)*y)/y*y)/y*y/(y**(1/10)*y*y)) assuming y is positive. y**(-34443/130) Simplify ((n*n**(-4/7))**(1/14)*n**16*n*n*(n**6/n)/n)**(-1/10) assuming n is positive. n**(-2159/980) Simplify (((u**(-14)/u)/((u*u*u*u*u**(-2/7)*u*u*u)/u*u))/(u*u**17*u/(u*u**(2/59))*u))**(-29/2) assuming u is positive. u**(487229/826) Simplify (z*z**(-3/2)*z*z**14*(z**5)**35)**32 assuming z is positive. z**6064 Simplify ((t/t**(-1/3))/t**5*t*t/(t/(t/(t*t/(t/t**6))))*t**(1/4))/((t/(t/t**0)*t**5)/(t**6*t*t**(-7))) assuming t is positive. t**(-161/12) Simplify ((g/g**(1/6)*g/(g/(g**(-1/9)/g*g)))/(g**(-1/3))**(-7))/(g**(-2)*g*g**0*g**6/(g**(-2)/g)) assuming g is positive. g**(-173/18) Simplify ((u**(2/31)/u*u**(1/4))/(u**5*u**(14/5)/u))**(-1/5) assuming u is positive. u**(4641/3100) Simplify (((a/(a**1*a))/(a/a**(-2)))/(((a/(a*a**7/a*a)*a)/a)/a**(-2/23)))/((a**6/((a/(a/a**(-2/13)*a)*a)/a))/(a*a**0)**(-2/51)) assuming a is positive. a**(-65266/15249) Simplify ((j*(j**(-1/3)*j)/j*j*j)**(2/11))**(1/2)*((j*j*j**0*j)**(-2/7))**(-50) assuming j is positive. j**(9956/231) Simplify (((s**(1/5)/s)/(s**(5/6)/s))/(s**(-3/5)*s**(-3/16)))**46 assuming s is positive. s**(851/120) Simplify (((s*s/(s/((s/(s/(s**0*s)))/s))*s**1)/(s/s**(2/5))**(-39))**(-50))**44 assuming s is positive. s**(-55880) Simplify ((d**(2/15)*(d/d**9*d)/d)/(d**2*d*d*d**(-1/8)))**11 assuming d is positive. d**(-15499/120) Simplify (n**11)**(3/2)/(((n/((n*n/(n*n**(-3/14)))/n)*n)/n*n)/(n*n**37*n)) assuming n is positive. n**(376/7) Simplify (((p**(-1/6)/p)/p)/p*p**(-4)/p)**(-2/95)/(p/(p**(-5)*p)*p/(p/p**(-2)))**(15/8) assuming p is positive. p**(-12433/2280) Simplify (((h*h/h**(-2))/h*h)**(-2/43)/(h*h/(h**(-1/4)*h)*h*h)**42)/(h**(-2)/(h/(((h*h**(-1/10)*h)/h)/h))*h**(-1/7)/(h**(-1/3)/h)) assuming h is positive. h**(-608516/4515) Simplify (((k*k*k**(-1)*k)/k**(2/57))/(k**5)**(-14))**41 assuming k is positive. k**(168182/57) Simplify ((h/(h*h**(1/4)))/h*h*h**(2/37)*h)**20*((h**3)**(-38))**(1/27) assuming h is positive. h**(3949/333) Simplify c**37/(c*(c*c**7)/c)*c**(-1/4)*c**(2/15) assuming c is positive. c**(1733/60) Simplify (n/(n/n**(1/3)*n)*n**(2/19))**(-3/32)*((n*n*n*n**1)**(2/5))**46 assuming n is positive. n**(6997/95) Simplify ((c/c**3*c)**(-20)/(c/((c*c**7)/c)*c*c**6))**(-2/79) assuming c is positive. c**(-38/79) Simplify ((n/(n*n**(2/3))*n)/n**(-5))**(4/9)/((n**(-1))**(4/5)*n*n**0*(((n/((n/(n*n**(-1/4)/n))/n))/n)/n*n)/n*n) assuming n is positive. n**(1307/540) Simplify ((q/q**(4/5))/q**(-2/25))**50/((q*q*q**5*q*q)/q**6*q/(q/q**1)*q**(1/3)) assuming q is positive. q**(29/3) Simplify t**0*t*((t/(t**6/t))/t)/t*(t**1)**29*(t**(-2/5))**(-19)*(t**(-2/5)*t)**31 assuming t is positive. t**(251/5) Simplify ((d**(-2/7))**(-5/2))**(-10/3)/(((d*d*d**(-4/7))/((d**6*d)/d))/(d*d*(d/(d**0/d))/d*d*d/(((d*d**(-3)/d)/d)/d))) assuming d is positive. d**(256/21) Simplify (((p*p**(-1/20))/p**(-2/75))/(p**(25/4)*p/((p*p**(-9))/p)*p))**3 assuming p is positive. p**(-2441/50) Simplify ((o*o**(-1/3)*o**8*o)/(((o*o**(1/3))/o*o)/o**(-8)))/((o/o**(-1/3))**(-3/25)*(o**(-1/2))**(-13/2)) assuming o is positive. o**(-827/300) Simplify ((l/(l/(l/l**(-3))))**(-49)/(l*l/l**(-4/5)*l*l)**45)**16 assuming l is positive. l**(-6592) Simplify (p**(-1/3)/p**(3/4)*(p/p**(-1))**(10/3))/((p*((p*p**(2/5)*p)/p)/p*p)**(-2/15)*(p/(p/(p**1*p)))**(-2)) assuming p is positive. p**(2971/300) Simplify w/(w/(w*w**(4/5)*w))*w**(-3/4)*(w/w**(-1))**(-14)*(w/(w/w**(3/2))*w**(-7))**(-3/20) assuming w is positive. w**(-201/8) Simplify (g**(-17)/g*(g*g**16)/g*g*g**11*(g/(g/(g*g/(g*g/((g/((g**13/g)/g))/g)*g))))/g)**(-1/8) assuming g is positive. g**(3/8) Simplify (j*j**(1/16)*j*j**(-2/15)*(j/((j**12*j)/j))/(j/j**11))**(-1/39) assuming j is positive. j**(-223/9360) Simplify (u**(-1/9)*(u**3/u)/u)**(14/3)*(u/(u**4/u))/u**3*u**3*u*u/u**(-1/5) assuming u is positive. u**(587/135) Simplify ((j/(j**19/j)*j)**17/(j**10)**34)**(-6/11) assuming j is positive. j**(3672/11) Simplify ((r**(-8)/r*r**(-1/8))/(r*r/r**(1/16)*r*r**(-3)))**(-47) assuming r is positive. r**(6815/16) Simplify (t/(t/(((t/(t/t**(1/4)))/t)/t))*t**(-5/2))**(-12)/((t**(-1)/(t/(t*t**0*t)))/(t**(1/3)*t/(t*t*t**(-5)))) assuming t is positive. t**(166/3) Simplify (((j**(-5)*j/(j*j/(j*j**9))*j*j)**(-5/18))**2)**(1/4) assuming j is positive. j**(-5/6) Simplify ((n**6*n/(n/(n**(-12)/n)))/(n**(-5/2)/((n*n/(((n/(n**(2/5)*n))/n)/n)*n)/n)))**(-49) assuming n is positive. n**(49/10) Simplify (b**(2/47))**(-1/8)*(b/(b**(-17)/b))**(-10) assuming b is positive. b**(-35721/188) Simplify (((g*g**(3/11))/g)**(-37)*(g/(g**(22/3)*g))**14)**48 assuming g is positive. g**(-59536/11) Simplify ((w**(-9)/(w/((w*w*(w/(w*w*w**7))/w)/w)))/((w*w**14)/(w*(w*w*w**(-1/7))/w)))**(15/8) assuming w is positive. w**(-1635/28) Simplify (y**(-1/5)*y*y*y/(y/(y/y**5))*(y/(y/y**(1/3)*y))**(-3/2))/((y**2*y)/(y**(2/11)/y*y)*(y*((y**1/y)/y)/y)**(-35)) assuming y is positive. y**(-2146/55) Simplify ((x*x*x**(2/5)/x*(x**(-1/2)*x)/x*x/(x*(x*x**(5/2)/x*x)/x)*x/(x/(x*x**(-5)*x)))**(-1/14))**(-1/42) assuming x is positive. x**(-23/2940) Simplify (((a**(-2/5)*a*(a*a**(1/3)*a*a*a)/a)/(a**0*(a/a**(-1/3))/a))**(2/11))**(2/59) assuming a is positive. a**(72/3245) Simplify (((o*o/o**(-48)*o*o)/o)/o*o**(-1/51))/(o*o**(-2/111)*o**(3/5)) assuming o is positive. o**(152213/3145) Simplify ((x/((x*x**(-4/3)*x)/x))/((x**(-1/8)*x)/x)*x**(-9)/(x*x**(-1)*x*x*x))/(x**(-11)*x**(2/47))**(-3/7) assuming x is positive. x**(-120317/7896) Simplify (((a*a**(1/4)*a)/a)**47)**(-21/5)/(((a/a**4*a)/a)/a*a*a/a**3*(a**1)**(-32)) assuming a is positive. a**(-839/4) Simplify (f**(1/3))**21*(f*f**(1/4)*f)**(-45)*(((f/(f*f**1))/f)/f)**(15/2)*f/(f**(1/2)/f*f)*f*f**(1/4) assuming f is positive. f**(-115) Simplify ((y**(-1)*y)**(-38)*(y**(-2/7)/y)**(3/13))/(y**(2/5)/(y*y**(1/9)*y))**(5/2) assuming y is positive. y**(6521/1638) Simplify (n*n**(1/21)*n*n*n*n*n*n**(6/11)*n*n*n)**(1/75)*(n*n*(n**7*n)/n)/n*n**(1/9)*n*n**(-1/6)*n*n/((n*(n/(n*n**(-3/2))*n)/n)/n)*n assuming n is positive. n**(183166/1732
{ "pile_set_name": "DM Mathematics" }
se 2 -1100 What is 2 (base 12) in base 11? 2 Convert 10002 (base 3) to base 16. 53 What is 16 (base 9) in base 12? 13 What is 84 (base 10) in base 7? 150 -11 (base 2) to base 10 -3 2 (base 13) to base 4 2 Convert 10001 (base 2) to base 5. 32 Convert -2 (base 8) to base 16. -2 -3 (base 6) to base 14 -3 -475 (base 9) to base 12 -288 What is -23 (base 4) in base 6? -15 What is 12 (base 5) in base 6? 11 -10 (base 7) to base 13 -7 What is 13 (base 5) in base 7? 11 115 (base 11) to base 8 211 -210 (base 8) to base 5 -1021 What is -204 (base 7) in base 2? -1100110 What is -11 (base 4) in base 6? -5 What is 75 (base 8) in base 11? 56 Convert -12 (base 3) to base 13. -5 Convert 22 (base 5) to base 14. c What is -405 (base 6) in base 14? -a9 What is 43 (base 14) in base 3? 2012 9 (base 10) to base 9 10 What is 220 (base 3) in base 14? 1a Convert -2 (base 15) to base 4. -2 Convert 3 (base 4) to base 5. 3 What is 231 (base 6) in base 8? 133 4 (base 9) to base 4 10 -21001 (base 3) to base 5 -1230 -10110111 (base 2) to base 3 -20210 1011110 (base 2) to base 8 136 Convert -14 (base 5) to base 7. -12 Convert -141 (base 8) to base 16. -61 What is 1010000 (base 2) in base 14? 5a Convert 2122 (base 3) to base 10. 71 Convert -10 (base 2) to base 12. -2 -35 (base 15) to base 11 -46 44 (base 5) to base 12 20 -232 (base 5) to base 4 -1003 0 (base 6) to base 4 0 Convert 102 (base 3) to base 14. b Convert 233 (base 4) to base 6. 115 Convert -12 (base 7) to base 8. -11 What is -5 (base 11) in base 16? -5 Convert 7 (base 13) to base 9. 7 Convert 2c (base 13) to base 16. 26 What is 0 (base 8) in base 5? 0 What is 9 (base 14) in base 16? 9 Convert -10 (base 16) to base 5. -31 Convert -a (base 11) to base 6. -14 -155 (base 8) to base 14 -7b 4 (base 12) to base 13 4 Convert 65 (base 11) to base 6. 155 Convert -1d (base 16) to base 14. -21 What is 28 (base 12) in base 8? 40 Convert -2 (base 6) to base 12. -2 What is -9 (base 13) in base 7? -12 What is 9 (base 12) in base 14? 9 -3 (base 13) to base 15 -3 What is 1 (base 5) in base 12? 1 67 (base 9) to base 14 45 -2 (base 7) to base 2 -10 What is -49 (base 13) in base 10? -61 10000111 (base 2) to base 3 12000 What is -71 (base 9) in base 5? -224 Convert 0 (base 3) to base 2. 0 8c (base 15) to base 7 246 Convert -11 (base 8) to base 12. -9 Convert -82 (base 9) to base 2. -1001010 20 (base 4) to base 10 8 What is 0 (base 2) in base 9? 0 -3 (base 16) to base 12 -3 What is 36 (base 14) in base 16? 30 -6a (base 14) to base 3 -10111 What is -52 (base 11) in base 8? -71 5d (base 15) to base 4 1120 What is -1 (base 11) in base 16? -1 -5 (base 11) to base 13 -5 31 (base 4) to base 14 d Convert -8 (base 16) to base 2. -1000 Convert -110 (base 2) to base 6. -10 Convert 73 (base 9) to base 2. 1000010 What is 8 (base 14) in base 13? 8 Convert 100 (base 4) to base 8. 20 What is -4 (base 9) in base 14? -4 3 (base 7) to base 8 3 25 (base 6) to base 3 122 Convert 50 (base 10) to base 4. 302 What is -1 (base 13) in base 5? -1 What is 7 (base 14) in base 10? 7 What is -2 (base 4) in base 13? -2 What is 11 (base 5) in base 3? 20 What is 15 (base 7) in base 4? 30 -24 (base 8) to base 5 -40 -24 (base 5) to base 8 -16 -111 (base 3) to base 13 -10 Convert -1 (base 9) to base 13. -1 Convert -12 (base 15) to base 11. -16 5 (base 10) to base 4 11 What is 134 (base 5) in base 11? 40 What is 61 (base 11) in base 3? 2111 What is -11 (base 6) in base 10? -7 Convert -82 (base 9) to base 16. -4a What is 0 (base 2) in base 6? 0 -10112 (base 4) to base 16 -116 What is -2 (base 3) in base 5? -2 0 (base 9) to base 2 0 Convert 14 (base 12) to base 5. 31 -12a (base 13) to base 2 -11001101 What is -14 (base 14) in base 2? -10010 What is b (base 12) in base 9? 12 Convert -2 (base 14) to base 16. -2 Convert -4 (base 5) to base 9. -4 What is -55 (base 10) in base 8? -67 3 (base 11) to base 6 3 Convert -1 (base 11) to base 5. -1 230 (base 9) to base 13 117 Convert -dd (base 14) to base 7. -366 What is -69 (base 11) in base 9? -83 0 (base 4) to base 16 0 Convert 1a (base 11) to base 6. 33 Convert 1 (base 7) to base 3. 1 What is -305 (base 7) in base 14? -ac What is -2 (base 12) in base 3? -2 -1 (base 7) to base 12 -1 1 (base 15) to base 8 1 -1000000 (base 2) to base 6 -144 Convert -10101 (base 2) to base 4. -111 What is -3 (base 10) in base 8? -3 Convert 9 (base 12) to base 6. 13 11011 (base 3) to base 8 160 Convert e (base 16) to base 6. 22 Convert -23 (base 6) to base 15. -10 -2 (base 6) to base 7 -2 Convert 50 (base 10) to base 3. 1212 Convert 11 (base 9) to base 3. 101 What is -1011 (base 2) in base 15? -b Convert 332 (base 4) to base 14. 46 What is 3 (base 7) in base 8? 3 0 (base 15) to base 11 0 What is c (base 15) in base 13? c What is 1 (base 15) in base 3? 1 What is -42 (base 14) in base 12? -4a Convert 77 (base 12) to base 3. 10101 -33 (base 15) to base 16 -30 Convert -124 (base 6) to base 12. -44 Convert -33 (base 4) to base 8. -17 Convert -101000 (base 2) to base 10. -40 What is -3 (base 5) in base 9? -3 1132 (base 4) to base 16 5e What is 2 (base 11) in base 2? 10 Convert 10 (base 6) to base 8. 6 2a (base 13) to base 9 40 Convert -49 (base 12) to base 15. -3c What is 1 (base 4) in base 10? 1 What is -152 (base 13) in base 5? -1421 -16 (base 16) to base 12 -1a -12 (base 10) to base 2 -1100 What is 62 (base 14) in base 6? 222 6 (base 13) to base 6 10 What is 80 (base 13) in base 12? 88 -3 (base 10) to base 6 -3 1 (base 14) to base 10 1 -233 (base 4) to base 5 -142 -2 (base 14) to base 3 -2 3 (base 12) to base 16 3 Convert 60 (base 11) to base 3. 2110 7 (base 11) to base 2 111 What is 120 (base 4) in base 6? 40 What is -54 (base 10) in base 4? -312 4 (base 7) to base 14 4 Convert 53 (base 15) to base 4. 1032 What is 10011 (base 2) in base 4? 103 What is 15 (base 6) in base 13? b What is 71 (base 14) in base 9? 120 Convert 207 (base 8) to base 4. 2013 Convert 8 (base 16) to base 10. 8 4 (base 8) to base 9 4 Convert 5 (base 14) to base 9. 5 What is -1001 (base 2) in base 12? -9 What is 8 (base 12) in base 9? 8 1111 (base 2) to base 15 10 Convert -256 (base 9) to base 14. -113 Convert -140 (base 13) to base 8. -335 -15 (base 9) to base 15 -e What is 80 (base 9) in base 16? 48 Convert 0 (base 6) to base 10. 0 8 (base 11) to base 15 8 Convert 11 (base 3) to base 10. 4 What is 6 (base 15) in base 6? 10 What is -96 (base 10) in base 14? -6c What is -5 (base 7) in base 6? -5 32 (base 4) to base 16 e 265 (base 9) to base 5 1341 What is 30 (base 9) in base 3? 1000 Convert -21 (base 3) to base 13. -7 4 (base 8) to base 11 4 Convert -4 (base 13) to base 7. -4 Convert -10 (base 3) to base 16. -3 What is -7 (base 15) in base 11? -7 -2 (base 3) to base 4 -2 Convert -4 (base 11) to base 14. -4 Convert 163 (base 10) to base 9. 201 What is bb (base 13) in base 12? 10a What is -3 (base 10) in base 2? -11 -377 (base 9) to base 16 -139 10 (base 2) to base 15 2 What is 68 (base 11) in base 14? 54 Convert -50 (base 13) to base 10. -65 -a (base 13) to base 4 -22 -2 (base 12) to base 2 -10 Convert -1214 (base 5) to base 9. -224 151 (base 10) to base 11 128 22 (base 6) to base 7 20 Convert 27 (base 8) to base 7. 32 Convert 1011010 (base 2) to base 9. 110 Convert -3 (base 16) to base 10. -3 What is 5 (base 9) in base 11? 5 What is -39 (base 13) in base 3? -1210 What is -7 (base 15) in base 5? -12 41 (base 5) to base 10 21 Convert -174 (base 15) to base 5. -2314 1 (base 12) to base 13 1 -78 (base 14) to base 4 -1222 What is 6 (base 15) in base 11? 6 Convert -3 (base 9) to base 5. -3 What is -2 (base 9) in base 6? -2 What is 25 (base 9) in base 16? 17 44 (base 10) to base 6 112 What is -4 (base 14) in base 7? -4 -c5 (base 14) to base 15 -b8 0 (base 14) to base 10 0 What is 9 (base 11) in base 10? 9 Convert -2 (base 4) to base 11. -2 Convert -4 (base 6) to base 4. -10 What is -2 (base 13) in base 5? -2 3b (base 14) to base 10 53 Convert -4a (base 11) to base 8. -66 Convert -342 (base 7) to base 5. -1202 Convert 2 (base 10) to base 4. 2 Convert 112 (base 5) to base 13. 26 Convert 2 (base 5) to base 13. 2 Convert -10 (base 7) to base 3. -21 Convert -160 (base 7) to base 13. -70 2 (base 6) to base 5 2 Convert -18 (base 9) to base 12. -15 What is 422 (base 7) in base 4? 3110 Convert 110 (b
{ "pile_set_name": "DM Mathematics" }
*q, -q = -m*l for l. 1 Let m(j) = j**2 + 3*j + 10. Let n be m(-6). Suppose -4*o + 7*h + n = 3*h, -3*o + 5*h + 31 = 0. Solve 2*k - 13 = 3*w, -o*k + 20 = -5*w + 1 for w. -3 Suppose -15 = -24*b + 19*b. Suppose 2*i - i = -u - 2, i = b*u - 6. Solve u = r, -3*g = -g + 5*r - 13 for g. 4 Suppose q + q - 2*j - 10 = 0, 3*j + 3 = 0. Suppose 5*u + 72 - 492 = 0. Suppose 0 = -q*t + u - 32. Solve -3*d + 0*d + 4*o = t, d - 3*o = -6 for d. -3 Suppose 18*j - 20*j + 4 = 0. Solve -y + 4*m = -0*y + 11, -5*y - j*m = -11 for y. 1 Let u(z) = 26*z + 22 - 5 - 25*z. Let d be u(-10). Solve 0 = 5*p - 5, -3*s = -d*s - 4*p - 8 for s. -3 Suppose 0 = 13*v - 10 - 81. Solve 2*u - v*o = -5*o, -2*o = -4*u + 4 for u. 2 Suppose -4*y - 29 = -93. Solve 5*g - y = 3*v - 2*v, -3*v = -5*g + 18 for v. -1 Let n be (3/(-2))/(9/162). Let o be 4 + 0 + 30 - 4. Let k = o + n. Solve k*b + 22 = 4*m, 2*m + 2*m = 2*b + 20 for b. -2 Let l = 101 - 99. Solve l*k - 2*b = 4*k - 4, k - 2*b + 13 = 0 for k. -3 Let g = 813 - 811. Solve -8 = g*n, 0*h + 17 = h - 5*n for h. -3 Let r(x) = -x**2 + 12. Let l be r(3). Suppose -t + 0 = -2*h - 4, 4*t + l*h - 16 = 0. Solve 2*o + 5*f + 2 = 0, -3*o = -7*o + 4*f - t for o. -1 Let u be 27/18 - (-5)/2. Suppose u = -2*p + 14. Solve 4*v + 46 - 10 = -4*j, 0 = 3*j - 5*v - p for j. -5 Let o = -435 - -440. Solve v + 0*a + o = -2*a, -2*v = -a + 5 for v. -3 Let z be (-14 + 2)/3 - 4. Let j be ((-17)/(-2))/(4/z). Let r = 26 + j. Solve 4*s + 3*i = -r, 2*s - 4*i - 12 = s for s. 0 Let j(v) = 2*v**2 - 22*v + 41. Let s be j(9). Solve 0*d = -3*u + 5*d, -4*u + 5 = -s*d for u. 5 Let m(w) = -w**3 + 5*w**2 - 6. Let f be m(3). Let z(x) = 2*x - 22. Let q be z(f). Suppose s = -t, -6*t + s = -t. Solve -v + 0 = y + q, -y + 3*v - 6 = t for y. -3 Let h(f) = f**2 + 4*f - 3. Let v be h(-5). Let b be 792/252 - 8/7. Solve s + 5*p = 6, b*s + 0*p + v = -3*p for s. -4 Let j = 32 + -32. Suppose j = -4*d + 16. Solve -2 = 3*p + d, -11 = -b + 4*p for b. 3 Let q = 499 - 498. Suppose -3*y + 2 = -4. Solve s = 2*u - y*s + 13, s - q = 0 for u. -5 Let c(q) = 3*q + 81. Let l be c(-21). Let d be (-52)/l - -5 - (-1)/(-9). Solve b = 4, -r - b + d*b = 1 for r. 3 Suppose -n + 0*o + o = -9, 0 = -o. Suppose n*p = 23 + 22. Solve 5*r - 2*g + 2 = 0, g + 26 = -p*r - 3*g for r. -2 Let s(r) = -r**3 + 5*r**2 + 3*r - 9. Suppose 1 = 3*v + 4*o - 2, -5*v - 2*o + 19 = 0. Let g be s(v). Solve 4*t + 6 = 3*z, t + 2*z - g*z = -8 for t. 0 Let n(w) = w**2 + 6*w + 8. Let l be n(-7). Suppose b = -4*b + l. Let k be 3 - 2 - 1/1. Solve b*s = 4*i - k - 4, 0 = 4*i + s - 20 for i. 4 Let q = -129 + 130. Solve 0 = z - 4*u - 5, q = -z - 0*z + u for z. -3 Suppose 5*r = 17 + 23. Let p(x) = -x**2 + 9*x + 2. Let y be p(r). Let w be (-20)/y + (2 - 0). Solve -5*k - f = f, -k - f = w for k. 0 Let w be ((-4)/30*3)/(7/(-35)). Let s be (-1 - (2 + -3)) + -6. Let n = s - -13. Solve 2*k + x = 3, 3*k = -w*x - 1 + n for k. 0 Suppose 4 - 1 = 4*l + 3*j, -3 = 4*l + 5*j. Suppose -16 = 77*o - 85*o. Solve t + l*b = -18, -o*b + b - 11 = 2*t for t. -3 Suppose 4*i + i - 15 = 0. Let l be 0 - ((4 - i) + 0). Let q(a) = 3*a + 3. Let k be q(l). Solve -j = 4*d + 15, 0 = j + d - k*d for j. 5 Let k(q) = q**2 - 23*q - 170. Let y be k(-6). Solve b + 0*b = 2*o - 6, 0 = 5*o - y*b - 18 for o. 2 Suppose -2*i - 28 = 4*b - 4, 0 = i + 4*b + 10. Let u = i - -18. Suppose 5*l = u*s + 19, -2*s + 3 = 2*l - 1. Solve 5*g + l*r + 17 = -3, -5*r = 5*g + 30 for g. -1 Let t = -76 - -73. Let l(x) = x**3 - 4*x**2 + 2*x + 2. Let f be l(3). Let g = f - t. Solve 2*y = -g*y - 5*b - 17, -13 = y + 3*b for y. 2 Suppose -r - 3*i = 1, 2*r - 4 - 3 = 3*i. Suppose j = r*l - 3, 3*l - j + 2 = 5. Solve 3*q - 13 = -0*c - c, -4*c - 3*q + 25 = l for c. 4 Suppose 2*s = 65*b - 60*b - 14, -s = 5*b - 23. Solve -6*r - 2*l + 10 = -r, -s*r + 2 = 2*l for r. 4 Let u be (-4)/((-6)/2 - -2). Suppose -u*p + 4 = -2*p. Solve -3 = m - 0*t + p*t, 4*m - 4*t = 0 for m. -1 Suppose 212 = 5*m - 4*z, 2*z = 6 - 2. Let a be (-33)/m*(-8)/3. Solve k = 3*i - 15, -a*i + 11 = -k - 0*i for k. -3 Let c = -11 + 17. Let i be (-6)/(c/(-25)) + -3. Suppose -i + 7 = -3*s. Solve s*v + r = 3, v = -3*v + r - 3 for v. 0 Let f = 260 + -244. Let g be -1 + (2 - -2 - 1). Suppose 12 = -g*n + f. Solve -22 = 4*x - l, n*x - 2*l - 16 = 6*x for x. -5 Let m = 259 - 254. Solve -b = 2*p - 7*p - 29, m*b = -p + 15 for p. -5 Suppose -3*k + 5 = -2*k. Solve -15 = v + 4*y, -4*v = k*y + 2 + 3 for v. 5 Let d = -20 - -28. Suppose 24*p = 26*p - d. Solve -p*n = -5*l - 31, -3*l + 2*n - 15 = 2 for l. -3 Suppose 904 - 916 = -6*t. Solve -t - 4 = -2*x + k, 2*k - 28 = -4*x for x. 5 Let s = -55 + 142. Let d(k) = -26 + 10*k - k**2 + s - 32. Let f be d(12). Solve b + f*r + 27 = -0*b, 16 = -3*b - 2*r for b. -2 Let r(s) = 4*s + 30. Suppose y = 0, -4*y + 12 + 8 = -4*o. Let p be r(o). Solve -2*t + 10 = 4*l - t, l - p = -4*t for l. 2 Let r = 29 - 21. Let b(o) = -7*o + r + o + 7*o. Let c be b(-6). Solve 0 = x + 4*j - 24, -x - c*x - 2*j = -22 for x. 4 Let t = -72 - -79. Let f = 22 + t. Solve 3*v = 4*d - f, 5*d - d = -2*v + 14 for d. 5 Let l(x) = -x**3 + 8*x**2 + 3*x - 19. Let r be l(8). Let c be -3 + (-13)/((-5)/r). Solve 0 = 2*i + 3*b, 0*b = 4*i + b + c for i. -3 Suppose -10*n + 3*n = -28. Solve -2*c = -n*x + 8, -c + 5*c - 2*x + 10 = 0 for c. -2 Suppose 6*y = 14*y - 160. Let x be 1 - (-2)/(-2)*-3. Suppose -y = -w - x*w. Solve -o = z, -w*o = -5 - 3 for z. -2 Let w = 4 + -2. Let m(x) = x**2 - 7*x + 6. Let o be m(5). Let g be o/14 + 2*459/126. Solve -g*v + 5*a = -2*v - 20, -w*a - 2 = v for v. 2 Let q(i) = -5*i - 27. Let a be q(-6). Solve 5*y = -s - 2, 2*s + 1 = 2*y - a for s. -2 Let v = -46 + 52. Solve -3*m = 5*f - 2, 4*f - 2*m = -0*f + v for f. 1 Let v(c) = c**2 - 9*c - 4. Let m be v(9). Let g be 0*(6 + -4)/m. Suppose 2*z + 3*z + 15 = g, -5*q - 5*z = 0. Solve -4*u + 2*t - 16 = 0, q*u = -t + 1 - 18 for u. -5 Let m be 13 + (5/(-1) - 3). Solve 3*w + 13 = 4*y - 6*y, -2*w - m = 5*y for y. 1 Suppose 0 = 2*z + 2*z - 4. Let f be (-184)/(-32) + z/4. Let b be 18/12*16/f. Solve 3*k - 3 = 2*n, -2*k + 5 - 19 = b*n for n. -3 Let y be (8/(-12))/(2/183). Let o be (-12)/(-42) - y/7. Let u be 1/(-2) - o/(-18). Solve 4 = 4*c - 4*v, u = c - 4*c + 2*v + 7 for c. 5 Let x be 2*2 + 32 + -23. Solve x = -3*p - 2*t, -2*t - 3 = -4*p + 3 for p. -1 Suppose -5*w + 31 = -34. Let o(y) = -y + 13. Let q be o(w). Let n be 0/(-1) + 3 + q. Solve t + 3*t = -5*h + 1, 0 = h + n*t + 2 for h. 1 Suppose -12*z - 17 = -3*r - 13*z, 0 = 3*r + 5*z - 37. Let f = -2 - -6. Solve -1 = -3*b - i, f*b + r*i + 14 = 2 for b. 2 Suppose 2*j = -3*j. Suppose -z - 1 = j, z + 21 = 4*y + y. Solve -v + 25 = 3*c - 3*v, c - y*v - 25 = 0 for c. 5 Let m be (8/6)/((-146)/(-219)). Solve -q = 4*p + 2*q - 22, -m*p = 2*q - 12 for p. 4 Suppose 0 = -3*x + 9*x - 72. Suppose -2*u = u - x. Solve 4*j - u = -2*c + 4, -j = 4*c - 16 for c. 4 Let j(m) = 5*m - 58. Let h be j(15). Solve -z - 2*z - 3*u = -15, h = 5*z - 3*u for z. 4 Suppose 2*l = 5*s - 197, -3*s = -2*l - 69 - 50. Let k = 43 - s. Solve 4*y - 8 = 4*a, -2*a + k*y - 16 = 6*y for a. -5 Suppose z - 2 = 4*x + 1, -x + 15 = 5*z. Let w be ((-88)/6)/(-4) + (-29 - 2125/(-75)). Solve 4*t + 1 = -2*o + 5, 2*o - z = -w*t for t. 1 Let a be 5*15/1 + 4. Let s = 84 - a. Solve 2*c = -2*m + 2, s*m + 1 = -3*c - 0*c for c. 3 Suppose m + m + v = 30, 5*m - 66 = 2*v. Suppose 12 = 2*n - m. Solve -l = 5*d + 7 + n, -2*l = 5*d + 20 for d. -4 Suppose -w - 4*u - 7 = 0, 13*u + 30 = 3*w + 8*u. Solve -5*v + n = 24, 6*n + w = n for v. -5 Let s = -15 + 22. Suppose s*y = 7 - 0. Let c be (1 - y)/(18/(-9)). Solve c = -2*g + 4*o + 16, -g + 3*o + 17 = 3*g for g. 2 Let t be -3 + 8 + (-24)/8. Solve -3*z = -d, -3 = -3*d + t*d for z. 1 Suppose -4 = 3*q - 16. Let r be (4 + 15/(-3))/((-1)/q). Solve -3*m = 4*a - 24 + r, -2*m + 3*a + 2 = 0 for m. 4 Suppose 0 = 2*h - 4 - 16. Suppose -14*d + 12*d = -h. Solve -7*o = -3*o - 4, -d*y = -5*o - 10 for y. 3 Suppose 0*u + 6 = -3*u. Let m(w) = 7*w**2 + w - 1. Let o be m(u). Suppose -6*t - o + 61 = 0. Solve 2*c = -5*a + 2, t*a + c = 3*a + 2 for a. 2 Let i(w) = w**2 - 10*w + 7. Let a(c) = 2*c**2 - 22*c + 15. Let h(t) = -2*a(t) + 5*i(t). Let f be h(6). Solve 0 = 2*d - 10*n + f*n - 16, 0 = 3*d + 3*n - 3 for d. 3 Let i = -627 + 631. Let r = -46 + 64. Solve x + 3*x = -3*j - 26, i*j + 2*x = -r for j. -2 Suppose -19*t + 20*t - 3 = 0. Solv
{ "pile_set_name": "DM Mathematics" }
centimeters are there in 0.3815655 kilometers? 38156.55 Convert 1308.792g to tonnes. 0.001308792 How many nanograms are there in 8/25 of a microgram? 320 What is seventy-seven fifths of a litre in millilitres? 15400 How many millilitres are there in thirty-one halves of a litre? 15500 Convert 296.1611kg to micrograms. 296161100000 How many millilitres are there in 94414.84 litres? 94414840 What is 1/20 of a tonne in kilograms? 50 How many micrometers are there in 0.5345882mm? 534.5882 How many millilitres are there in 13/5 of a litre? 2600 How many months are there in twenty-one quarters of a decade? 630 What is 21/5 of a litre in millilitres? 4200 Convert 9682.993 weeks to milliseconds. 5856274166400 What is 9.789346ms in nanoseconds? 9789346 What is 578990.6 millennia in years? 578990600 How many months are there in three fifths of a century? 720 Convert 68690.21 days to milliseconds. 5934834144000 What is 3/32 of a tonne in grams? 93750 How many hours are there in twenty-three thirds of a day? 184 How many kilograms are there in 6/25 of a tonne? 240 What is 15/4 of a millennium in years? 3750 What is 2529.312l in millilitres? 2529312 Convert 37.26532 millennia to decades. 3726.532 Convert 371808.9 years to months. 4461706.8 What is eight thirds of a year in months? 32 How many millimeters are there in 756.9447 meters? 756944.7 How many millilitres are there in 57.04702 litres? 57047.02 How many centuries are there in 129.119 years? 1.29119 Convert 23245.35cm to meters. 232.4535 Convert 6835.803 meters to micrometers. 6835803000 How many years are there in eighty-seven halves of a millennium? 43500 How many hours are there in 7/2 of a day? 84 What is 1/10 of a millennium in years? 100 What is one quarter of a week in minutes? 2520 What is 0.1719376 nanoseconds in milliseconds? 0.0000001719376 What is 5706.465 weeks in seconds? 3451270032 How many millennia are there in 476156.7 months? 39.679725 Convert 68.593 centimeters to micrometers. 685930 How many days are there in 0.7838996 weeks? 5.4872972 How many millilitres are there in 15/4 of a litre? 3750 How many millilitres are there in 3/5 of a litre? 600 How many micrometers are there in fifty-one quarters of a millimeter? 12750 How many meters are there in 16995.95 millimeters? 16.99595 Convert 410714.1 tonnes to grams. 410714100000 What is twenty-seven quarters of a millennium in months? 81000 What is twenty-nine halves of a litre in millilitres? 14500 What is 0.5252065 hours in minutes? 31.51239 What is 1/20 of a hour in minutes? 3 What is twenty-six sevenths of a week in days? 26 What is eleven eighths of a gram in milligrams? 1375 What is 42/5 of a meter in millimeters? 8400 Convert 0.0989922ml to litres. 0.0000989922 What is 9727.039 hours in nanoseconds? 35017340400000000 How many millilitres are there in 8/25 of a litre? 320 Convert 612464.1 nanograms to grams. 0.0006124641 How many millilitres are there in 6/25 of a litre? 240 How many months are there in 192.4585 millennia? 2309502 How many centimeters are there in 3/50 of a meter? 6 What is 11/2 of a millimeter in micrometers? 5500 How many decades are there in 24224.73 centuries? 242247.3 How many decades are there in 61807.7 millennia? 6180770 What is nineteen quarters of a tonne in kilograms? 4750 What is 19/4 of a millennium in months? 57000 What is 308.0387 centimeters in nanometers? 3080387000 How many milliseconds are there in 9/10 of a second? 900 How many kilometers are there in 0.2438041cm? 0.000002438041 What is six fifths of a micrometer in nanometers? 1200 Convert 314.422l to millilitres. 314422 What is 1/27 of a week in seconds? 22400 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 3/5 of a microgram in nanograms? 600 Convert 3610.115 litres to millilitres. 3610115 What is 442032.3 litres in millilitres? 442032300 What is seventy-seven halves of a litre in millilitres? 38500 What is 70.46528 days in nanoseconds? 6088200192000000 What is 5759.084 litres in millilitres? 5759084 What is 5/4 of a litre in millilitres? 1250 Convert 638022.5 weeks to nanoseconds. 385876008000000000000 How many years are there in 155370.36 months? 12947.53 What is 1325.353 micrometers in nanometers? 1325353 What is 61.53993 decades in years? 615.3993 What is 6/25 of a hour in seconds? 864 What is one quarter of a millimeter in micrometers? 250 What is 213887.6 hours in seconds? 769995360 What is 769.6578km in meters? 769657.8 How many meters are there in 1691.264um? 0.001691264 What is 5/4 of a micrometer in nanometers? 1250 What is 77.47763 weeks in nanoseconds? 46858470624000000 What is 6248.2185 nanoseconds in days? 0.00000000007231734375 How many litres are there in 7.768331 millilitres? 0.007768331 What is 10720.72 litres in millilitres? 10720720 How many nanograms are there in 1/20 of a milligram? 50000 How many meters are there in 858.9093km? 858909.3 How many minutes are there in 3/32 of a day? 135 How many months are there in 66872.73 years? 802472.76 Convert 222079.1um to meters. 0.2220791 What is 119.0592 months in decades? 0.99216 How many micrometers are there in 49/4 of a millimeter? 12250 What is 7/16 of a millennium in months? 5250 How many nanoseconds are there in 6.948231 microseconds? 6948.231 How many millimeters are there in twenty-seven halves of a centimeter? 135 How many tonnes are there in 0.0876473g? 0.0000000876473 How many litres are there in 9.208881ml? 0.009208881 What is 3.173538mm in nanometers? 3173538 How many millilitres are there in 8699.784 litres? 8699784 Convert 36.53391m to kilometers. 0.03653391 How many seconds are there in 5/8 of a hour? 2250 What is seven quarters of a kilometer in meters? 1750 Convert 48.94051ml to litres. 0.04894051 Convert 745645.7 millennia to years. 745645700 How many centimeters are there in 3.649919m? 364.9919 What is 1/5 of a centimeter in millimeters? 2 What is 971861.3 years in millennia? 971.8613 What is six fifths of a litre in millilitres? 1200 How many millilitres are there in 25/2 of a litre? 12500 Convert 405889.4 grams to milligrams. 405889400 How many minutes are there in three fifths of a week? 6048 How many centimeters are there in 0.5431811 millimeters? 0.05431811 Convert 68434.15 meters to millimeters. 68434150 How many millilitres are there in 34/5 of a litre? 6800 How many micrometers are there in 8/25 of a millimeter? 320 Convert 868290.8l to millilitres. 868290800 What is 2/9 of a day in minutes? 320 What is 3/32 of a tonne in grams? 93750 What is 21562.6nm in centimeters? 0.00215626 Convert 0.2838682 millilitres to litres. 0.0002838682 How many millilitres are there in six fifths of a litre? 1200 Convert 810.6402 milligrams to grams. 0.8106402 Convert 283.0146 micrograms to tonnes. 0.0000000002830146 What is 3/5 of a litre in millilitres? 600 How many decades are there in twenty-seven quarters of a millennium? 675 How many kilograms are there in 11/2 of a tonne? 5500 How many hours are there in 226421.64ns? 0.0000000628949 What is 7188.759mm in micrometers? 7188759 How many meters are there in 68659.1 millimeters? 68.6591 How many months are there in 12/25 of a millennium? 5760 What is 830365.2kg in tonnes? 830.3652 How many millilitres are there in 903104.4l? 903104400 Convert 3842.418 days to microseconds. 331984915200000 What is 784.56 nanometers in micrometers? 0.78456 How many millilitres are there in five eighths of a litre? 625 How many hours are there in fourty-three thirds of a day? 344 What is 1/10 of a gram in micrograms? 100000 What is 11/2 of a tonne in kilograms? 5500 How many grams are there in 21/2 of a kilogram? 10500 How many millilitres are there in five eighths of a litre? 625 What is 21/2 of a millennium in centuries? 105 What is 3/5 of a tonne in kilograms? 600 How many micrograms are there in 433884.5 kilograms? 433884500000000 How many months are there in four fifteenths of a decade? 32 How many millilitres are there in 95151.8 litres? 95151800 What is three fifths of a hour in seconds? 2160 How many kilometers are there in 934151.1 nanometers? 0.0000009341511 What is four fifteenths of a century in months? 320 Convert 58.1329 litres to millilitres. 58132.9 What is 757.075 millimeters in nanomet
{ "pile_set_name": "DM Mathematics" }
+ q**2 - 2 + 0*q**2 + 0*q**3 + 2*q**3 + 5*q. Let s(h) = h**3 + h**2 + 7*h - 2. Give -5*s(t) + 7*z(t). 2*t**3 + 2*t**2 + 3 Suppose 5*s = -5*j + 40, -14 - 4 = -4*j + 3*s. Let n(v) = 1. Let k(c) = 2*c + 6. Calculate j*n(u) - k(u). -2*u Let x(o) = -o**2 + o - 1. Let p(n) = 3*n**2 - 3*n + 3. Let h(s) = p(s) + 4*x(s). Let l be (36/24)/3*-8. Let c(y) = -3*y**2 + 4*y - 1. Determine l*h(m) + c(m). m**2 + 3 Let m(v) = -220*v**2 - 3*v + 3. Let q(n) = -1100*n**2 - 16*n + 16. Give 16*m(i) - 3*q(i). -220*i**2 Let n(w) = -4*w**2 - 238 + 241 + 0*w + w. Let d(v) = 7*v**2 - v - 3. Let r(s) = 1. Let m(f) = -d(f) + 2*r(f). Give -3*m(u) + 5*n(u). u**2 + 2*u Let r(k) be the third derivative of -k**5/4 + 7*k**4/24 + 2*k**3/3 - 2*k**2. Let p(x) = -4*x**2 + 2*x + 1. Let h = -353 + 347. Determine h*r(j) + 22*p(j). 2*j**2 + 2*j - 2 Let c(r) = 134*r**2 + 3*r - 136*r**2 + 29 - 30. Let p(i) = 3*i**2 - 5*i + 2. Calculate -5*c(x) - 3*p(x). x**2 - 1 Let x = -43 + 57. Suppose 5*w - 5*k - 1 = 34, -2*w + k = -x. Let g(d) be the first derivative of -3*d**4/4 - 2. Let q(u) = 5*u**3. Calculate w*g(f) + 4*q(f). -f**3 Let f(h) = -3*h + 3. Let v(q) = -3 + 7 - 5*q + 5 - 5*q. Let m(p) = -p**2 + p - 1. Let c be m(-2). Determine c*f(b) + 2*v(b). b - 3 Let c(v) = -95*v - 247. Let b(y) = 34*y + 82. Determine 11*b(d) + 4*c(d). -6*d - 86 Let n(f) = -99*f**2. Let a(i) = -693*i**2. Give -4*a(l) + 27*n(l). 99*l**2 Let s(l) = 2*l**3 - 9*l**2 - 3. Let a(p) = 4*p**3 - 17*p**2 - 5. Suppose -y = 2*v - 5, 10*v - 5 = 14*v + 5*y. Calculate v*s(t) - 3*a(t). -2*t**3 + 6*t**2 Let u(z) be the second derivative of -z**3/2 - z**2 + 33*z. Let x(g) = -16*g - 11. What is 11*u(n) - 2*x(n)? -n Let p(g) = 3*g**3 - 3*g**2 + 2*g + 5. Let q(t) = 6*t**3 - 6*t**2 + 4*t + 11. Give 13*p(s) - 6*q(s). 3*s**3 - 3*s**2 + 2*s - 1 Let b(g) = g**2 - g - 1. Let j(s) = -s - 1. Suppose -76 = 14*l - 34. Determine l*j(t) + 3*b(t). 3*t**2 Let r(b) = -2*b + 30. Let g be r(16). Let t(s) = s - 2. Suppose 2*i = 2*d - 4, 0 = -4*i + 4. Let k(q) = -2. Calculate d*k(h) + g*t(h). -2*h - 2 Let y(k) = 217*k**3 + 4*k**2 - 7. Let m(z) = 108*z**3 + 2*z**2 - 3. What is -7*m(a) + 3*y(a)? -105*a**3 - 2*a**2 Let w(z) = z + 5. Let r(u) = -2*u - 4. Let t(l) = l**2 - 10*l + 5. Let k be t(0). What is k*r(p) + 4*w(p)? -6*p Let t(a) = -9*a - 5. Suppose 4*s - 22 = 2*s. Let x = -3 + s. Suppose -127 + 1 = 42*f. Let c(k) = -3*k - 2. What is f*t(d) + x*c(d)? 3*d - 1 Let p(g) = 5*g - 1. Let y(l) = l. Let u(z) = -z**2 - 10*z - 20. Let v be u(-7). What is v*p(j) - 4*y(j)? j - 1 Let r(z) = -z + 157. Let o(g) = g - 158. Give 6*o(w) + 5*r(w). w - 163 Let j(l) = -7*l**2 + 15*l**2 + 2*l - 7*l + l**2. Let v(i) = -i. Calculate j(z) - 6*v(z). 9*z**2 + z Let n(s) = s + 1. Let h(f) = 6*f + 2. Let m(i) = 8*i + 62. Let g be m(-8). Give g*h(y) + 4*n(y). -8*y Let c(z) = -2*z + 3. Let o(a) = 4*a - 7. Let m(q) = -q**2 - 5*q - 2. Suppose 0 = 7*p + 8 + 20. Let j be m(p). Give j*o(d) + 5*c(d). -2*d + 1 Let z(i) = -i. Let l(w) = w + 29. Let o be l(0). Let y(d) = -3 + 2 - 1 - 39*d + o*d. Suppose 2*s + 3*s = -5*k + 80, -4*k + 68 = 5*s. Determine k*z(r) - y(r). -2*r + 2 Suppose -3*n - 2*m = -11, 5*n + 4*m - 21 = 2*m. Let b(r) = 3*r - 4. Let q(u) = -3*u + 5. Let f(l) = 6*l**2. Let a be f(-1). Give a*b(t) + n*q(t). 3*t + 1 Let u(i) = i**3 - i**2 - 1. Let w(b) = b**3 - 6*b**2 - 2*b - 9. Calculate 6*u(c) - w(c). 5*c**3 + 2*c + 3 Let v(s) = -11*s**3 + 2*s**2 + 2*s + 22. Let u(i) = -3*i**3 + i**2 + i. Give -2*u(g) + v(g). -5*g**3 + 22 Let u(d) = 15*d**2 - 17*d + 9. Let z(g) = g**3 + 13*g**2 - 32*g - 21. Let t be z(-15). Let b(r) = -4*r**2 + 4*r - 2. Give t*b(l) + 2*u(l). -6*l**2 + 2*l Let s(v) = -v**3. Let o = 35 - 12. Let m = o + -18. Let d(r) = m*r**3 - r**2 + 0*r**3 - r**2 - r**3. Give -d(h) - 2*s(h). -2*h**3 + 2*h**2 Let y(j) = -2*j**2 - 11*j - 23. Suppose 10 = w - 4*t, t - 1 = -w - 4*t. Let m(z) = z**2 + 6*z + 12. Give w*y(v) + 11*m(v). -v**2 - 6 Let v(h) = -13*h + 97. Let o(u) = 25*u - 184. Calculate -4*o(s) - 7*v(s). -9*s + 57 Let r(j) = j**2 - 16*j - 28. Let u be r(18). Suppose p = 3*p + u. Let z(v) = 5*v + 2. Let h(n) = 2*n + 1. Determine p*z(t) + 9*h(t). -2*t + 1 Suppose -2*g = g + 12. Let r(y) = -y - 4 + 2*y**2 + 3 + 5*y. Let v(h) be the first derivative of h**3 + 5*h**2/2 - h + 30. What is g*v(z) + 5*r(z)? -2*z**2 - 1 Let y(t) = 9*t + 23. Let j(m) = 7*m + 24. What is -4*j(z) + 3*y(z)? -z - 27 Let q(z) = -6 + z + 0*z - 12*z**3 + 142*z**2 - 148*z**2 + 5*z - z**3. Let l(b) = -14*b**3 - 7*b**2 + 7*b - 7. What is -6*l(i) + 7*q(i)? -7*i**3 Suppose 4*h = 3*a + 6, 16 = 13*a - 11*a + 4*h. Let s(b) = 7*b**2 + 2. Let u(n) = 34*n**2 + 11. Give a*u(x) - 11*s(x). -9*x**2 Let h(x) = -x**2 + 27*x + 155. Let q be h(32). Let z(f) = -4. Let d(y) = y - 1. What is q*d(t) + z(t)? -5*t + 1 Let m(s) = s + 5*s - 1 - 7. Let k(x) = -48*x + 84*x - 38*x + 3. Let w(h) = -h**3 + 5*h**2 + 8*h - 9. Let q be w(6). What is q*m(i) + 8*k(i)? 2*i Let l(h) = 11*h**2 - 5*h - 5. Let z(f) be the third derivative of 13*f**5/20 - 3*f**4/4 - 3*f**3 + 26*f**2. Let o = -4 - -9. What is o*z(c) - 18*l(c)? -3*c**2 Suppose -6*n + 3*t - 12 = -4*n, 24 = -4*n - t. Let y(o) = 7*o**2 - 2*o - 6 - 2*o + 4 - 4. Let f(i) = -8*i**2 + 5*i + 7. What is n*f(l) - 7*y(l)? -l**2 - 2*l Let s(f) = -193*f**3 - f**2 - 3*f - 6. Let n(l) = 191*l**3 + l**2 + 3*l + 5. Determine 6*n(u) + 5*s(u). 181*u**3 + u**2 + 3*u Let i(m) = -m**3 + 988*m**2 + 13. Let d(c) = -329*c**2 - 4. Determine 7*d(l) + 2*i(l). -2*l**3 - 327*l**2 - 2 Let n(x) = -5*x**2 - 7*x - 7. Let g(j) = -3*j**2 - 4*j - 4. Let r = 25 - 20. Let l be 137/(-4) - r/(-20). Let w be l/5 + 18/(-90). Calculate w*g(i) + 4*n(i). i**2 Let g(d) = -d**2 - d - 1. Let m(j) = -157*j**2 + 7*j + 6. What is -6*g(t) - m(t)? 163*t**2 - t Let y(z) = -14*z**2 + 16. Let u(h) = 27*h**2 - 31. Calculate 3*u(n) + 5*y(n). 11*n**2 - 13 Let q = 152 + -155. Let a(k) = 4*k + 2. Let l(x) = -x - 3 - 4*x + 3*x. Let d(h) = -h - 2. Let j(w) = -4*d(w) + 3*l(w). Calculate q*a(s) - 7*j(s). 2*s + 1 Let n(j) = 5*j. Let m(u) = -25*u - 1. Determine -2*m(c) - 11*n(c). -5*c + 2 Let f(o) = o**3 - 3*o**2. Let u(n) = 0*n**3 - n**3 - n**3 + 4*n**2. Let i be 7/3*72/84. Determine i*u(t) + 3*f(t). -t**3 - t**2 Let p(v) = 1. Let c(g) = -10*g - 6. Let a(b) = -21*b - 13. Let z(s) = 3*a(s) - 7*c(s). What is 6*p(m) - 2*z(m)? -14*m Let m(d) = 1 + 5*d + 2 - 3. Let h(q) = 3*q. Let i(g) = -9*g**2 + 83*g - 14. Let w be i(9). What is w*m(a) - 7*h(a)? -a Suppose k = -5*z + 4*k + 73, 4*z - 55 = -k. Let g(i) = -i. Let b(h) = -3*h - 4. Let a(j) = -3*j - 3. Let v(q) = 4*a(q) - 3*b(q). What is z*g(y) - 4*v(y)? -2*y Let p(b) = -148*b**3 + 7*b**2 - 7*b. Let l(s) = 148*s**3 - 6*s**2 + 6*s. Give -7*l(f) - 6*p(f). -148*f**3 Let t(y) = 2*y. Let n(o) = -3*o. Let j = -252 + 256. Determine j*n(x) + 10*t(x). 8*x Let f(p) = 34*p + 14. Suppose 6*h = -9*h - 420. Let c(w) = 7*w + 3. Calculate h*c(z) + 6*f(z). 8*z Suppose 26 = 3*l - 100. Suppose -l*d + 32 = -43*d. Let s(z) = -z**2 - 3*z + 3. Let h(b) = -12*b**2 - 32*b + 32. Determine d*s(v) + 3*h(v). -4*v**2 Let i(k) = -2*k + 4. Let z(a) = a - 4. Let m = -208 - -210. Determine m*i(d) + 3*z(d). -d - 4 Let b(m) = -55*m + 4*m + 1 + 20 + 2 - 2. Let s(t) = 5*t - 2. Calculate 6*b(y) + 63*s(y). 9*y Let m(k) = -10*k - 8. Let g(i) = 10*i + 10. Let f(h) = h - 1. Suppose 0 = -u - 6 + 5. Let s(y) = u*g(y) - f(y). What is -7*m(p) + 6*s(p)? 4*p + 2 Let p(o) = 6*o - 89. Let j(h) = 32*h - 444. Give 2*j(q) - 11*p(q). -2*q + 91 Suppose l + 6 = 5*i + 3*l, 3*l = 2*i - 10. Let n(s) = -34*s**2 + 5*s + 2 + i*s + 30*s**2. Let j(x) = -5*x**2 + 8*x + 2. Calculate 5*j(p) - 6*n(p). -p**2 - 2*p - 2 Let w(l) = -72*l**2 + 8*l - 11. Let h(i) = 217*i**2 - 22*i + 31. Give 4*h(v) + 11*w(v). 76*v**2 + 3 Let s(h) = -175*h**3 - 450*h**2 - 225*h + 225. Let v(z) = -z**3 - 2*z**2 - z + 1. What is 4*s(i) - 900*v(i)? 200*i**3 Let k(v) = -3*v**2 + 7*v + 30. Let q be k(5). Let i(u) = u**2 - 1. Let n(b) be the first derivative of 4*b**3/3 - 5*b + 1. Give q*i(w) + 2*n(w). -2*w**2 Let i(x) = 6*x + 1. Let z(t) = 7*t + 1. Let r be (-6)/(-8)*6 + 26/52. Suppose 2*w + 4 = w. What is r*i(p) + w*z(p)? 2*p + 1 Let p(o) be the first derivative of -8 + 11*o - 1/3*o**3 + 7/2*o**2. Let q(n) = n**2 - 10*n - 16. What is -7*p(y) - 5*q(y)? 2*y**2 + y + 3 Let n(u) = 28*u**2 - 3*u - 3. Let
{ "pile_set_name": "DM Mathematics" }
6116*b**3 + 15*b - 11*b + 1 + 4*b**2 + 6167*b**3 - 2 as f*b + j*b**2 + r + c*b**3 and give j. 4 Rearrange 18*j**3 - 137*j + 267*j - 129*j - 11*j**3 + 1040*j**2 - 8*j**3 to the form z*j**2 + n*j**3 + f*j + k and give n. -1 Express -6389*d + 2241*d - 5104*d - 574*d as i + p*d and give p. -9826 Express -1210*i + 27625*i - 2033*i as y*i + g and give y. 24382 Rearrange -42*t**2 + 7*t**2 - 2*t + 140 + 10*t**2 - 7*t**3 + 23*t**2 to the form k + v*t**3 + f*t**2 + h*t and give h. -2 Express (-k - k + 8*k)*(192 - 20 - 44)*(2 - 3 + 3)*(-3 - 2 + 2 + 1 - 2 + 0 + (0 - 3 + 5)*(0 + 1 - 2) + 2 + 2 - 2)*(-3 + 3 + 1) as d + c*k and give c. -6144 Rearrange 2*t**3 - 4*t**3 - 15*t**3 + 7*t + (-9*t**2 + 11*t**2 - 7*t**2)*(-1 + 1 - 2*t) to p + o*t + n*t**3 + w*t**2 and give o. 7 Rearrange -165 + 0*t**2 + 304 - t - t**2 + 416 + 117 to the form i + d*t**2 + c*t and give c. -1 Express -1 - 2*n**3 + 2*n**3 + 4 + 201*n**2 - 202*n**2 + n**3 - 27*n in the form i*n**3 + s + a*n + r*n**2 and give s. 3 Express (-4 + 5 - 2)*(-9*o - 94285*o**2 - 9*o**3 - 94270*o**2 + 188497*o**2) in the form g*o**2 + i*o**3 + p + v*o and give i. 9 Rearrange -4*a + 3*a + 4*a + (83 - 63 - 83)*(-136*a + 625 - 625) to d + q*a and give q. 8571 Express 2*r - r - 4870 + 7175 + 2*r + 3*r as u + c*r and give c. 6 Express -332*j - 3782*j - 98*j - 849*j as x + v*j and give v. -5061 Rearrange -150 + 235 - 1114*t - 85 to the form g + l*t and give l. -1114 Express -163 + 121 + 54 + 62*c + (-5 - 1 + 1)*(c - 3*c + c) in the form w + q*c and give q. 67 Rearrange -19*a**2 + a**4 + 9*a**4 - 2*a + 2 + a**3 - 2*a**4 - 22*a**2 + 30*a**2 to g*a**2 + i*a**4 + v + p*a + s*a**3 and give i. 8 Rearrange -u**4 + 2 + u**3 - 147830*u + 147832*u + 2*u**2 - 4*u**2 + 0*u**4 to c*u**2 + r*u**4 + d*u**3 + v*u + o and give v. 2 Rearrange 99716*g**2 - 18*g - 99637*g**2 - 10*g to the form t + y*g + n*g**2 and give n. 79 Rearrange 4*m**3 - 174 - 10020*m + 10020*m to r*m**2 + o + k*m**3 + z*m and give o. -174 Express -459*h - 1371 + 461*h - 1162 in the form z*h + m and give m. -2533 Rearrange 10930 + 0*k - 6*k - 10853 to the form d + i*k and give i. -6 Express (205*c + 221*c - 392*c)*(2497*c - 3*c**3 + 2*c**3 - 1 - 2498*c + (c - c - c**2)*(4*c - 2*c - 4*c)) as m*c**2 + r*c**4 + n + j*c + k*c**3 and give r. 34 Express (-3 + t + 3)*(-1 + 5 - 3)*(-10*t + 8 - 8) - 89*t**2 + 482*t**2 + 41*t**2 in the form p*t + c + h*t**2 and give h. 424 Rearrange 355*t**3 - 356*t**3 + 284 - 284 - 18964*t**2 to the form m + z*t + u*t**2 + x*t**3 and give u. -18964 Rearrange 7*x**4 - x**3 + 5 + 39*x**3 - 22*x**3 - 6*x**3 to u*x + r*x**3 + j*x**2 + n*x**4 + i and give r. 10 Rearrange -33 + 140*v + 117 - 43 - 39 to m + b*v and give b. 140 Rearrange -123 - 53 + 9*x**3 - 26*x + 23*x + 51 to the form y*x + f + r*x**2 + i*x**3 and give i. 9 Rearrange (0*j - 3*j + j)*(-293*j - 383*j - 5659*j**2 - 297*j + 969*j) to m*j**2 + d*j + v + l*j**3 and give m. 8 Express -26 + 156*g**3 + 2 + 26 - 5*g**2 as a*g**3 + s*g + t + u*g**2 and give t. 2 Rearrange f**3 - 44*f**2 + 2*f**4 - 16*f**2 - 14*f**2 + 34*f**2 + 4*f - 3 to s*f + w*f**4 + a + z*f**2 + x*f**3 and give z. -40 Express 4*r**4 + r**2 - 115002*r**3 + 2*r**2 + 49*r - r**2 + 114998*r**3 as k + g*r**2 + u*r + p*r**3 + i*r**4 and give u. 49 Express 663695 - 663695 + 13989*c as x*c + s and give x. 13989 Express -902*v - v**3 - 1549*v**2 - 794 + 902*v + 1547*v**2 in the form x*v**2 + l + h*v + j*v**3 and give l. -794 Rearrange -t**2 - 2*t**2 + 4*t**2 - t - 22 - t**2 - 15 + 29 + (2*t + t - 10*t)*(t + t + 0*t) - 6*t**2 + 5*t**2 + 0*t**2 to the form d*t + m*t**2 + u and give u. -8 Rearrange (-3*h**3 + h**3 + 4*h**3)*(-1912 - 34*h + 146 + 33*h) to b + o*h**2 + g*h**3 + u*h**4 + l*h and give g. -3532 Rearrange (-2*r + r - 2*r + (3 - 4 - 1)*(0*r + 3*r - r) + 179*r - 128*r - 119*r)*(2 - 7 + 3*r + 2) to m*r**2 + b*r + z and give b. 225 Express ((-4 + 0 - 4)*(-1 - 2 + 2) - 3 + 0 + 2)*(-5 + 5 + b**3 + (2*b + 0*b + 0*b)*(6*b + 5*b**2 - 6*b)) as o*b**3 + s*b + l*b**2 + r and give o. 77 Express (3 - 3 - v)*(23185 - 13532 - 12948 + (4 + 0 - 3)*(1 + 2 - 4) + 1 - 3 + 3) in the form n*v + f and give n. 3295 Rearrange (o**2 - o**2 + 2*o**2)*(127560*o + 43852*o + 14790*o + 9079*o + 61525*o + 28719*o) to the form t*o**2 + g*o**3 + b*o + k and give g. 571050 Rearrange 40 + 39 - 79 - 4157*j**2 + 3468*j**2 to s*j + i*j**2 + k and give i. -689 Rearrange 1327*y**2 - 1923 + 964 + 959 + 2136*y**2 to the form h*y + l + m*y**2 and give m. 3463 Express 31 - 65*y + 32*y**2 - 27 - 455*y - 30*y**2 as z + f*y**2 + l*y and give l. -520 Express i + i**4 + 3*i**2 + 319 - 29*i**3 + 98 - 208 - i**2 + 28*i**3 in the form z + t*i**4 + d*i**2 + x*i + b*i**3 and give z. 209 Express 17 - c - 8*c - 86*c + 50 - 18*c as d + i*c and give i. -113 Express (579*j - 581*j + 8*j**2 - 36*j**2)*(1 - 2 + 2) as k*j**2 + x*j + b and give b. 0 Express (2 + 7 - 5)*(12*s - 4*s + 6*s) + (4 + 4 + 1)*(4 - 3 + 0)*(4 + 1 - 4)*(-3*s + 0*s + 2*s)*(5 - 4 + 2) in the form u*s + m and give m. 0 Express (-7 + 2 - 7)*(o + 0*o + 4*o) + (3*o - 5*o + 4*o)*(-24 - 24 + 14) in the form w + l*o and give l. -128 Express -8410*o - 11518*o + 3262*o + 3114*o as a*o + f and give a. -13552 Rearrange 1537 + 1529 - 4600 + 1533 - 1571*d**2 to the form n*d + r + y*d**2 and give r. -1 Rearrange 10*i**2 - 16*i + 53*i**2 + 5*i**2 - 3 + 6 + 0 to b*i**2 + r*i + z and give b. 68 Express -291*q**2 - 272*q**2 - 282*q**2 + 799*q**2 - 162*q**2 as x*q**2 + u + b*q and give x. -208 Express -6*t**2 + 613*t**4 - 611*t**4 + t + 3 + 2*t**2 + 3*t**3 in the form n*t**3 + a*t + q*t**2 + l + k*t**4 and give a. 1 Express x**2 - 389*x - 5003 + 1165*x - 390*x - 386*x as m*x**2 + k + l*x and give m. 1 Express -14*s**4 + 29*s + s**3 + 83*s - 15*s**4 + 31*s**4 + 3 in the form j*s**2 + a + r*s**4 + f*s**3 + t*s and give a. 3 Rearrange -11*i**4 - 4778*i**3 - 3*i + 4778*i**3 - 18 to the form g + a*i + m*i**4 + u*i**2 + h*i**3 and give g. -18 Rearrange ((2 - 2 - 5*q)*(-26 - 16 + 85) - 4*q - 2 + 2 + 2*q - 4*q + 0*q)*(4*q - 2*q - 4*q)*(-1 - 1 - 2) to g*q**2 + s + j*q and give g. -1768 Express (467*p - 97*p - 877*p)*(-3*p - p + 2*p)*(-3 - 4 - 9) as l*p + k + r*p**2 and give r. -16224 Express (-1485*t**2 + 317*t**2 + 2765*t**2)*(4 - 2 + 0)*(-4 - 6 + 7) in the form g*t + q + z*t**2 and give z. -9582 Rearrange -3*t - 1 + 329819*t**2 - 329821*t**2 + 10*t**4 - 3*t to c*t**3 + y*t**2 + l*t + q*t**4 + n and give y. -2 Rearrange (57 + 168 - 225 - 8714*i)*(2*i**3 + 0*i**2 + 0*i**2) to u*i + a*i**2 + y*i**3 + p*i**4 + t and give p. -17428 Express -102*t + 226*t - 124*t - 44*t**3 - 58*t**2 in the form z*t**2 + u*t + j*t**3 + m and give z. -58 Rearrange (9 + 14 + 1)*(-3*s**2 + 14*s**2 - 10*s**2 - 100*s) to n*s + c*s**2 + u and give c. 24 Rearrange 32*x**4 + 1279 + 28*x**4 + 3*x**2 - 82*x**4 + 24*x**4 + 0*x**2 to y*x**2 + q*x**4 + s*x + t + a*x**3 and give y. 3 Rearrange -3474*w**3 + 3477*w**3 - 223*w + 3*w**4 + 83*w to the form v*w**3 + p*w**2 + l + g*w**4 + y*w and give g. 3 Express -1366*q**2 - 90 - q**3 - q - q**3 + 1365*q**2 as m*q**2 + y*q**3 + u + f*q and give y. -2 Rearrange -95 - 7*q - 3*q**3 + q**3 + 43*q**2 + 23*q**2 + 7*q to t + g*q**2 + f*q + s*q**3 and give f. 0 Express (-4*c - 87*c**2 + 55*c**2 - 169*c**3 + 1 + 32*c**2)*(-c + 2*c - 6*c) in the form y*c**3 + u*c**4 + m*c**2 + o*c + n and give u. 845 Express 97157*n - 32105*n - 47817*n in the form c*n + b and give c. 17235 Rearrange (-4*f + 4*f - 2*f**2)*(4 + 1 - 3)*(46*f - 7*f + 73*f + (5 - 1 - 2)*(3*f - 2*f + f)) to the form c*f + k*f**3 + m + r*f**2 and give k. -464 Express 3*g**3 - 44 + 34 - 2*g**3 + 0*g**3 + g**3 + 4*g**4 as h*g**4 + i*g + c + k*g**3 + w*g**2 and give h. 4 Express 74 - 4 + 2*j + 0*j + 1 + 7*j**2 + 11 as m*j + b + o*j**2 and give o. 7 Express -329*i**2 + 645*i**2 - 317*i**2 - 682*i**3 in the form n*i + s + t*i**2 + u*i**3 and give t. -1 Express 2 + 12 + i - 11 + 165*i**2 - 5 + 0 in the form y*i**2 + t*i + l and give l. -2 Rearrange -872*p + 100 + 761*p - 42 to s + l*p and give l. -111 Express -3864 + 3864 - 321*a as v + m*a and give m. -321 Rearrange 236*z - 2 - 73*z - 162*z - 6462*z**2 to j + d*z + l*z**2 and give d. 1 Express -56 + 57 - 482*w**3 + w**4 + 2 in the form c*w**3 + q*w**4 + j*w**2 + o*w + z and give c. -482 Express 6 + 3168*f + 0 + f**4 - 40*f**3 - 3169*
{ "pile_set_name": "DM Mathematics" }
rivative of -5*b + 5*b**w - 4*b**5 + 11*b wrt b? 20*b**3 Let n(g) be the first derivative of g**5/20 - 13*g**4/6 + 55*g**3/3 - 71. Let l(b) be the third derivative of n(b). What is the first derivative of l(c) wrt c? 6 Suppose 174 = 15*r - 6. Differentiate -8*f + 58 + f - 4*f - r*f wrt f. -23 Let a(l) be the first derivative of -l**5/5 + 74*l**3/3 - 941*l - 1047. Find the first derivative of a(x) wrt x. -4*x**3 + 148*x What is the third derivative of 48883*m**2 - 48872*m**2 + 164*m**3 - 900*m**3 wrt m? -4416 Suppose -22 = 56*x - 134. What is the third derivative of -31*y**2 + 10*y**4 + 1 - y**3 + 34*y**x + 7 + 77*y**4 wrt y? 2088*y - 6 Let f(y) be the first derivative of 7*y**6 + y**4 + 23*y**3/3 + 1119. Find the third derivative of f(a) wrt a. 2520*a**2 + 24 What is the derivative of -568 + 46 + 2*p**3 - 620 - 31*p**3 wrt p? -87*p**2 Let u = -27505 + 27510. Let p(l) be the first derivative of 39/2*l**2 + 0*l + 0*l**3 + 1/5*l**u + 29 + 0*l**4. Find the second derivative of p(j) wrt j. 12*j**2 Let u(g) be the first derivative of -1028*g**3 - 9*g**2 + 28*g + 1293. What is the second derivative of u(c) wrt c? -6168 Let v(g) = -g**2 - 73*g - 33. Let q(m) = -74*m - 31. Let f(k) = 3*q(k) - 2*v(k). Let w(c) be the first derivative of f(c). What is the derivative of w(n) wrt n? 4 Let l be 62/3*81/54. Find the third derivative of 27*b**3 + 2*b**2 - 52*b**3 - 47*b**3 - l*b**3 wrt b. -618 Let l(z) be the third derivative of 3*z**7/2 - z**6/120 + 404*z**3 - 228*z**2. What is the derivative of l(a) wrt a? 1260*a**3 - 3*a**2 Suppose -7*o + 328 - 314 = 0. Let s be 4/10 - (-24)/15. Find the third derivative of 1 - 6*g**4 - 6*g**o - 1 + 7*g**s wrt g. -144*g Suppose 18 = 4*d + 3*q, -2*d + 3*d + 5*q - 13 = 0. Let c(x) be the first derivative of -23*x - 13 + 8 + 11*x + x**d. What is the derivative of c(m) wrt m? 6*m Let j(f) = 1035*f**3 - 6*f**2 + 6*f - 5. Let s(p) = -3*p**3 + 2*p. Let x(u) = -j(u) + 7*s(u). Find the third derivative of x(r) wrt r. -6336 Let p(o) = o**3 - 35*o**2 + o + 12. Let r be p(35). Differentiate -58 - 16 + r*y + 27*y + 4*y wrt y. 78 Let v(p) be the first derivative of 11*p**8/336 - 9*p**4/8 - p**3 - p**2 - 49. Let c(t) be the third derivative of v(t). Differentiate c(w) with respect to w. 220*w**3 Let o(q) be the second derivative of -q**5/5 + 4*q**4 + 62*q**3/3 - q - 837. Find the second derivative of o(l) wrt l. -24*l + 96 Let j(a) be the second derivative of -143*a**5/4 + 227*a**2/2 - 213*a. Differentiate j(z) wrt z. -2145*z**2 Let p(f) be the second derivative of -203*f**6/3 - 1595*f**2 + 1687*f. What is the first derivative of p(t) wrt t? -8120*t**3 Suppose -2*q = 4*b - 24, -5*q + 3 - 18 = -5*b. Find the second derivative of 7 - 36*i**3 + 119*i**3 - q*i + 6*i wrt i. 498*i Let z(b) be the third derivative of 481*b**8/168 - 56*b**5/5 + 38*b**2. Find the third derivative of z(m) wrt m. 57720*m**2 Let o(x) = -x**3 + 10*x**2 - 6*x - 28. Let n be o(9). Let s = n + 7. What is the third derivative of 6*u**2 + 16*u + 10*u**2 - 16*u + s*u**6 wrt u? 720*u**3 Find the first derivative of -24*b + 12318 - 31*b**2 - 8478 - 11115 wrt b. -62*b - 24 Let g(o) = 372*o**4 - 14*o**2 - 22*o - 6260. Let u(p) = 124*p**4 - 4*p**2 - 7*p - 2085. Let v(c) = -2*g(c) + 7*u(c). What is the derivative of v(a) wrt a? 496*a**3 - 5 Find the first derivative of -4873 - 1013 + 6*f**3 - 4*f**3 - 4*f**3 - 3933*f - 1139 wrt f. -6*f**2 - 3933 Let j be ((-12)/(-14))/((-2 + -2)/28). Let c be 14/21 - 14/j. What is the third derivative of -t - c*t**4 + t + 419*t**2 - 445*t**2 wrt t? -72*t What is the second derivative of -131861 + 131861 + 8149*t - 2828*t**4 wrt t? -33936*t**2 What is the second derivative of -562*k + 4*k**4 - 2625*k**2 + 3322*k**2 - 5*k**4 wrt k? -12*k**2 + 1394 Let w = 71 - 70. Suppose -w + 3 = i. Differentiate 190*k**2 + 9*k**4 - 10 + 190*k**2 - 380*k**i with respect to k. 36*k**3 Let t(a) be the second derivative of -7171*a**5/10 + 15555*a**2/2 + 14659*a. Differentiate t(q) wrt q. -43026*q**2 Let j be 85/35 + -2 - (-6)/(-14). Find the second derivative of 3*h**3 - 5*h**3 + j*h**3 + 9*h**5 - 37*h**5 + 71*h wrt h. -560*h**3 - 12*h Let p(i) be the second derivative of -37*i**6/30 - 14*i**5/5 + 1231*i**4/12 - 2619*i. Find the third derivative of p(k) wrt k. -888*k - 336 Let m be -1*4/(-8)*14978. What is the second derivative of -m*f + 0 + 48*f**5 - 2 + 7491*f wrt f? 960*f**3 Let n be 3 - -2*(4 + -3). Suppose -n*d = -60 + 45. What is the derivative of 23*m**3 - 10*m**d - 12*m**3 - 15 wrt m? 3*m**2 Find the first derivative of 1201 - 51*r**4 + 1449*r**4 - 42*r + 26 + 42*r wrt r. 5592*r**3 Let x(l) = -2*l - 4. Let y be x(-2). Let t be y/((-3)/3) - (-5 + -3). Find the third derivative of -t*w**2 + 3*w**5 - 3*w**2 - 5*w**2 wrt w. 180*w**2 Let b(t) = 469*t**4 - 40*t**2 + 4*t + 3549. Let z(f) = -469*f**4 + 50*f**2 - 4*f - 3549. Let h(d) = -5*b(d) - 4*z(d). What is the derivative of h(i) wrt i? -1876*i**3 - 4 Suppose 5*n - 5 = 0, 0 = -4*j + j + n + 71. Find the first derivative of -j + 62*z**3 + 98 + 32*z**3 wrt z. 282*z**2 Let c(k) = -1788*k**6 - 6*k**4 + 6*k**3 - 1219*k**2 + 6*k. Let t(i) = i**4 - i**3 - i. Let x(b) = -c(b) - 6*t(b). What is the third derivative of x(z) wrt z? 214560*z**3 Let z be (-1666)/(-12) - 19/(-114). Let s = z + -100. Differentiate 3 - 7 - 4 - 3 + s*x**2 wrt x. 78*x Let d be (4 - 2)*(-24)/(-16). Suppose o = d*x - o - 13, 15 = -5*x - 4*o. What is the first derivative of -x - n**4 - 1912*n + 1912*n wrt n? -4*n**3 What is the derivative of k**3 + 1631 - 1160*k + 210*k - 661 wrt k? 3*k**2 - 950 Let l(i) = 88*i + 85. Let x(h) = 602 + 2867 + 2745 + 4838*h - 1540. Let u(v) = -164*l(v) + 3*x(v). Differentiate u(b) wrt b. 82 Let p(b) = 96*b - 49. Let s(n) = -49 + 82*n + 41*n - 8*n - 18*n. Let a(o) = 5*p(o) - 4*s(o). What is the first derivative of a(x) wrt x? 92 Let y(j) be the second derivative of -j**5/15 + 65*j**4/24 + 55*j**3/6 + 77*j. Let d(c) be the second derivative of y(c). Differentiate d(h) with respect to h. -8 What is the second derivative of -4210*o**2 + 2 + 4210*o**2 + 3801*o**3 - 2 - 4757*o wrt o? 22806*o Find the third derivative of 200*k**3 + 138*k**3 - 175*k**3 - 1199*k**2 wrt k. 978 Let u(i) be the first derivative of -2783*i**5/5 + 3519*i - 3537. What is the derivative of u(n) wrt n? -11132*n**3 Find the second derivative of 8*x**4 - 3441*x + 2808*x - 159*x**2 - 3 - 3*x**4 + 3 + x**3 wrt x. 60*x**2 + 6*x - 318 Find the third derivative of 8*i**5 - 265350 + 2*i + 265350 + 6*i**4 - 12*i**6 - 5011*i**2 - 10*i**4 wrt i. -1440*i**3 + 480*i**2 - 96*i Let m be (-10 + 256/24)/((-4)/(-9834)). Find the first derivative of 126 + 1639*q**3 - 126*q**4 - m*q**3 wrt q. -504*q**3 Let w(d) = -59292*d**3 + 144*d + 14524. Let u(r) = -11857*r**3 + 30*r + 2905. Let t(v) = 24*u(v) - 5*w(v). Differentiate t(n) with respect to n. 35676*n**2 Suppose -34 = -26*k + 18. What is the second derivative of -84*l + 138*l + 33*l**2 + 221*l**k wrt l? 508 Let v be (0 + -4)*11/(-12)*33. Let r = -58 + v. Find the first derivative of -18*w**4 - 4*w**4 + r - 68 wrt w. -88*w**3 Let o(p) be the first derivative of -575*p**3/3 - 251*p + 1316. Find the first derivative of o(t) wrt t. -1150*t Let s = 248 - 242. What is the first derivative of -h - h - 4*h**2 - 97 - h + s*h wrt h? -8*h + 3 Let u(n) = -1738*n**2 + 3198*n - 4. Let b(y) = 10428*y**2 - 19188*y + 26. Let a(s) = -2*b(s) - 13*u(s). What is the second derivative of a(f) wrt f? 3476 Let t(q) be the second derivative of -66*q**5 - 88*q**4 + 1127*q. Find the third derivative of t(c) wrt c. -7920 Let i(k) = 26*k + 18. Let z(x) be the first derivative of -25/2*x**2 - 18*x + 28. Let h(b) = 3*i(b) + 2*z(b). Differentiate h(l) wrt l. 28 Let u = 64 - 67. Let h(t) = 4*t**2 + 3*t + 3. Let c be h(u). What is the derivative of 11 - 6 + 11*g - c wrt g? 11 What is the third derivative of 1680*i**2 + 596*i**4 - 94*i**5 - 616*i**4 + 94*i**5 - 31*i**6 wrt i? -3720*i**3 - 480*i Let u be 34/10 + (1008/(-70) - -14). What is the third derivative of -29*k + 373*k**u - 157*k**3 + 5*k**2 + 32*k wrt k? 1296 What is the second derivative of 15619*v**2 + 12710*v**2 - 4*v + 13892*v**2 - 45291*v**2 + 633 wrt v? -6140 Let q(w) be the third derivative of 111*w**5/5 - 299*w**3/6 - 2*w**2 + 1024*w. Differentiate q(b) with respect to b. 2664*b Suppos
{ "pile_set_name": "DM Mathematics" }
Let d(f) = 4*a(f) + j(f). Let v(c) = -6*c - 9. Give 4*d(t) - 7*v(t). -2*t - 9 Let v(d) = -d**2 + 3*d + 2. Let t(j) = -170*j - 2723. Let m be t(-16). Suppose 0 = 3*c + c + 8. Let g(w) = -4*w - 3. Calculate c*g(b) + m*v(b). 3*b**2 - b Let j = -6077 - -6076. Let a(r) = -r - 1. Let s(t) = 2*t**2 + 2*t + 5. Give j*s(x) - 3*a(x). -2*x**2 + x - 2 Let o(y) = -2*y**2 - 4*y. Let i(q) = 13*q**2 + 26*q - 13. Determine i(v) + 6*o(v). v**2 + 2*v - 13 Let a(p) = 4*p**2 + 9*p - 9. Suppose -2*w + 57 = 5*g, 17 - 12 = 5*w. Let j(u) = 61*u**2 + 5 - 31*u**2 - 5*u - 32*u**2. Give g*j(y) + 6*a(y). 2*y**2 - y + 1 Let x(l) = -l. Let b be 7 - (9 - (7 + -1 + -1)). Suppose -5*h = -10*r + 8*r - b, h + 3*r + 13 = 0. Let a(d) = 6*d. Calculate h*a(g) - 4*x(g). -2*g Let r(c) = -15*c**3 - c**2 + 2*c + 2. Let n(o) = 15*o**3 + 2*o**2 - 3*o - 3. Suppose -836*u = -855*u + 57. Determine u*r(d) + 2*n(d). -15*d**3 + d**2 Let x(r) = 7*r**2 - 5*r - 5. Let i(k) be the second derivative of -2*k**4/3 + k**3 + 3*k**2 + k + 415. Give 5*i(b) + 6*x(b). 2*b**2 Let q(z) = -5*z**3 - 365*z**2 + 44*z + 4. Let k(n) = -14*n**3 - 1096*n**2 + 121*n + 12. What is 4*k(y) - 11*q(y)? -y**3 - 369*y**2 + 4 Let k(v) = -10*v**2 + 6*v - 6. Suppose 476*m + 2 = 477*m. Let i be 1176/189 - m/9. Let f(u) = -9*u**2 + 5*u - 5. Calculate i*f(r) - 5*k(r). -4*r**2 Let i(c) = 24*c**2 + 1873*c + 5. Let u(y) = 10*y**2 + 935*y + 2. What is 2*i(n) - 5*u(n)? -2*n**2 - 929*n Let n(q) = -1862*q**2 + 6*q + 14. Let m(s) = 3726*s**2 - 11*s - 26. Give -6*m(c) - 11*n(c). -1874*c**2 + 2 Let j(d) = -d + 6. Let w be (13 + (-825)/60)/(3/(-28)). Let c(t) = -10. Let k(y) = -2 + 0 + 0. Let q(x) = -2*c(x) + 11*k(x). Give w*q(o) + 2*j(o). -2*o - 2 Let b(l) = 5*l**2 - 10*l - 247. Let g(r) = -2*r + 1. Determine -b(t) + 4*g(t). -5*t**2 + 2*t + 251 Let c(j) = -j + 7. Suppose -244 = 4*p + 236. Let l = -125 - p. Let w(a) = -a + 3. Calculate l*w(u) + 2*c(u). 3*u - 1 Let h(c) = 1147*c. Let l(t) = -57*t**2 - 28*t + 99. Let d be l(2). Let u(i) = -37*i. Calculate d*u(q) - 6*h(q). -37*q Let y(j) = -7*j**2 - 2*j. Let o(t) = -37*t**2 - 7*t + 107. Give o(d) - 5*y(d). -2*d**2 + 3*d + 107 Let d(o) = -11*o + 5. Let x(u) = -1. Let r be (4 - 42/9)*(-9)/(-6). Let f be -4*-2*r/(-8) + 4. Determine f*x(k) + d(k). -11*k Let h(q) = 1307*q**2 + 17*q + 13. Let k(d) = -338*d**2 - 4*d - 3. What is 2*h(o) + 9*k(o)? -428*o**2 - 2*o - 1 Suppose 14*r + 56 = 16*r. Suppose 12*f = 17*f - 2*w - r, 5*f = 5*w + 40. Let y(c) = c + 4. Let v(j) = -2*j - 5. Calculate f*v(o) + 5*y(o). -3*o Let f(a) = 65*a**2 + 31*a - 42. Let g(x) = 66*x**2 + 27*x - 32. Calculate -3*f(y) + 4*g(y). 69*y**2 + 15*y - 2 Suppose -144 = -0*b + 18*b. Let p(j) be the first derivative of 6*j**3 - 4*j**2 - 11*j + 168. Let q(y) = 12*y**2 - 5*y - 7. What is b*q(m) + 5*p(m)? -6*m**2 + 1 Let x(y) = 4*y**2 + 15*y**2 + 3*y**2 - 3*y - 17*y**2 + 46*y**3 - 2*y**2. Let r(z) = 45*z**3 + 4*z**2 - 4*z. Calculate 3*r(h) - 4*x(h). -49*h**3 Let l(k) = -11*k + 1. Let d(x) be the third derivative of -5/12*x**4 + 7*x + 1/6*x**3 + 2*x**2 + 0. What is 5*d(s) - 4*l(s)? -6*s + 1 Let f(h) = 3. Suppose -280*y + 288*y - 8 = 0. Let l(m) = -m + 1. Give y*f(d) + 2*l(d). -2*d + 5 Let u(z) = z + 8 - 2 + 0*z. Let w(f) = -f - 5. Let i be (-200)/5300 + (-960)/(-159). Determine i*u(g) + 7*w(g). -g + 1 Let q = 230 - 175. Suppose 0 = 5*u - 40 + q. Let l(n) be the third derivative of 13*n**4/24 + 7*n**3/6 - 14*n**2. Let g(b) = -7*b - 4. Give u*l(j) - 5*g(j). -4*j - 1 Let k(g) = -12678*g + 20. Let y(s) = -8451*s + 14. Determine 5*k(l) - 7*y(l). -4233*l + 2 Suppose 3*y = 7*y + m + 7, -2*y = 5*m - 19. Let j(t) = 5*t + 6. Let z be (-15)/(-15) - 6/3. Let v(i) = -347*i + 346*i + 1 - 2. Determine y*v(q) + z*j(q). -2*q - 3 Let t(z) be the third derivative of -z**5/15 + 17*z**4/24 + 2*z**3/3 - 4728*z**2. Let m(c) = -21*c**2 + 86*c + 21. Determine -2*m(d) + 11*t(d). -2*d**2 + 15*d + 2 Let c(v) = -8*v**3 + 7*v - 5. Let n(o) = o**3 + 4*o**2 - o - 1. Let r(a) = -13*a**3 - 24*a**2 + 12*a + 2. Let f(p) = 6*n(p) + r(p). Calculate -4*c(q) + 5*f(q). -3*q**3 + 2*q Let l(h) = -12*h - 8. Let b be 1/(15/180*-4). Suppose 5*i = 2*i + 24. Let r(g) = -4*g - 3. Determine b*l(w) + i*r(w). 4*w Let k = -1332 - -1339. Let t(a) = -3*a - 6. Let l(b) = -b - 1. Let d(y) = -5*l(y) + t(y). Let p(i) = 1 + 3*i - 2*i + 3*i - 3. Give k*d(u) - 4*p(u). -2*u + 1 Suppose -2 = 3*k - 17. Let q = -255 - -269. Let y(s) = -26*s**3 + 14. Let z(u) = 4993*u**3 + 3 - 4984*u**3 - 8. What is k*y(w) + q*z(w)? -4*w**3 Let t(i) = -26*i**2 + 21*i + 1103. Let r(s) = -8*s**2 + 6*s + 367. What is 7*r(x) - 2*t(x)? -4*x**2 + 363 Let i(m) = 6*m**2 + 8*m - 2. Let f(w) = 35*w**2 + 42*w - 10. Determine -2*f(b) + 11*i(b). -4*b**2 + 4*b - 2 Let w(x) = -2*x**2 + 5*x**2 + 11*x - 4*x**2. Let d(m) = -2 + 4 - 2 - m. Let a be (-4)/(11*2/22). Determine a*w(j) - 44*d(j). 4*j**2 Let p(f) = -f. Let z(c) = 11725*c + 11721*c - 23435*c. Determine 4*p(b) + z(b). 7*b Let z(d) = -41*d**3 + 2*d**2 + 16*d - 2. Let n(a) = -74*a**3 + 3*a**2 + 31*a - 2. Calculate -3*n(t) + 5*z(t). 17*t**3 + t**2 - 13*t - 4 Let n(h) = 8482*h + 6. Let p(q) = 10*q - 1. Give -n(d) - 6*p(d). -8542*d Let i(v) = -15*v**3 - 18*v**2 - 4*v - 3. Let w(b) = -11*b**3 - 16*b**2 - 3*b - 3. What is -3*i(l) + 4*w(l)? l**3 - 10*l**2 - 3 Suppose -3*d = -2550 + 2553. Let a(p) = -p**2 - p - 1. Let y(b) = -3*b**2 - 23*b - 7. Give d*y(v) + 5*a(v). -2*v**2 + 18*v + 2 Let u(g) = -6*g + 7285*g**3 - 3*g**2 + 0*g**2 - 7282*g**3 + 6. Let q(b) = b - 1. What is 6*q(v) + u(v)? 3*v**3 - 3*v**2 Let g = -11 + 6. Let n(c) = -c - 7*c**3 + 3*c - 58*c**2 + 2 + 56*c**2. Let k(j) = 15*j**3 + 5*j**2 - 5*j - 5. Determine g*n(t) - 2*k(t). 5*t**3 Let n(j) = j**3 + j**2 - 7*j - 1. Let k(a) = 2*a**3 - 2*a**2 - a - 1. Give -k(d) + n(d). -d**3 + 3*d**2 - 6*d Let v(z) = 44*z**3 + 2*z**2 + 2*z + 2. Suppose -95*o + 84 = -106. Let b(l) = -3519*l**3 - 161*l**2 - 161*l - 161. Determine o*b(a) + 161*v(a). 46*a**3 Let l(b) = b + 1. Let f(j) = -2 - 2 + 6*j + 7 + 2*j. Let a be -6 + 15 - (80 - 70). Calculate a*f(o) + 2*l(o). -6*o - 1 Let l(s) = 9*s**3 + 21*s**2 - 2*s + 5. Let m(v) = 2*v**3 + 2*v**2 + 1. What is l(t) - 4*m(t)? t**3 + 13*t**2 - 2*t + 1 Let g(l) = 9*l**2 + 5*l - 177. Let a(t) = 14*t**2 + 7*t - 247. Let k(s) = -5*a(s) + 7*g(s). Let z(y) = -14*y**2 - 9. Determine -14*k(i) + 6*z(i). 14*i**2 + 2 Let b(v) = -3*v**2 - 343*v + 25. Let m(l) = -2*l**2 - 341*l + 19. Calculate -3*b(p) + 4*m(p). p**2 - 335*p + 1 Let g(b) = b**2. Let v be (-5)/((-15)/6)*(-804)/(-8). Let q = -200 + v. Let x(u) = u**3 + 5*u**2. Give q*x(m) - 5*g(m). m**3 Let j(l) = -l - 1. Let q(u) be the third derivative of u**6/24 - 5*u**4/24 - 5*u**3/6 + 2*u**2 - 3006*u. What is -30*j(v) + 6*q(v)? 30*v**3 Let d(s) = 17*s**2 - 22*s + 15. Let k(c) = 177*c - 8*c**2 - 7 - 265*c + 99*c. What is 6*d(i) + 13*k(i)? -2*i**2 + 11*i - 1 Let q(l) = -2*l**3 - 4*l**2 - 274*l - 8. Let w(v) = -v**3 - 3*v**2 - 273*v - 6. Give 3*q(z) - 4*w(z). -2*z**3 + 270*z Let x(v) = -340*v + 9007. Let b(f) = 243*f - 6005. Determine 7*b(w) + 5*x(w). w + 3000 Let x be -2 + -2 + (-21 - -27). Let i(r) = 15*r**2 - 10*r + 5. Let g(u) = 3*u**2 - 2*u + 1. Give x*i(n) - 11*g(n). -3*n**2 + 2*n - 1 Let b(a) = 5406*a**3 + 689*a + 689. Let j(k) be the second derivative of 47*k**5/20 + k**3 + 3*k**2 - 106*k - 3. Determine -6*b(y) + 689*j(y). -53*y**3 Let n(v) = -3*v**3 + 6*v**2 + 6. Suppose -13 = 2*r - 3*k, -3*r = 60*k - 55*k - 47. Let m(q) = 4*q**3 - 6*q**2 - 7. Give r*m(i) + 5*n(i). i**3 + 6*i**2 + 2 Let y(s) = -30*s**2 - 6 + 15*s**2 + 17*s**2 - 14*s**2 - 7*s + 17*s**2. Let t(u) = u**2 - u - 1. Give 6*t(j) - y(j). j**2 + j Let c(y) = 14. Let q(a) = 47. Let v(u) = -10*c(u) + 3*q(u). Let n(d) = -3*d**2 - 3*d + 3. Let m be 3/((-18)/(-12))*1/2. What is m*n(k) - 4*v(k)? -3*k**2 - 3*k - 1 Let i(g) = 3165*g - 173. Let b(p) = 1583*p - 80. Determine -13*b(y) + 6*i(y). -1589*y + 2 Let v(w) = -98*w**2 + w - 9. Let g(c) = -50*c**2 - 4. Give 9*g(x) - 4*v(x). -58*x**2 - 4*x Let m(n) = -n + 7. Let f(r) = -1. Suppose 0 = -5*o + 2*h + 3, 4*o + 4*h = 173 - 193. Determine o*m(d) - 3*f(d). d - 4 Let t(v) = 4*v. Let m(y) = -3*y - 1. Suppose z = -5*b + 71, 0 = -2*z - 2*z + b + 389. Let n = -144 + z. Let f = n + 51. Calculate f*m(d) + 2*t(d). -d - 3 Let h(f) = -248 - 242 - 249 + 745 + 4*f - 3*f. Let d(i) =
{ "pile_set_name": "DM Mathematics" }
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-22764 What comes next: 26119, 23923, 20261, 15133, 8539, 479? -9047 What comes next: 13477377, 26954751, 40432125, 53909499, 67386873, 80864247? 94341621 What comes next: -660, -812, -986, -1182? -1400 What is next in -4985, -20009, -45071, -80171? -125309 What comes next: 15444, 15460, 15490, 15534? 15592 What comes next: -19445, -19722, -20009, -20312, -20637? -20990 What is the next term in -53161, -424991, -1434175, -3399391, -6639317, -11472631, -18218011? -27194135 What comes next: -63104141, -63104146, -63104151, -63104156? -63104161 What is next in -49709, -115530, -181347, -247160, -312969? -378774 What comes next: 6547, 6726, 6905, 7084, 7263? 7442 What is the next term in 320, -927, -4400, -11215, -22488, -39335, -62872, -94215? -134480 What is next in 207, 740, 1793, 3564, 6251, 10052, 15165, 21788? 30119 What is next in 15374551, 30749094, 46123637, 61498180, 76872723? 92247266 What is the next term in -26682, -105908, -237950, -422808, -660482, -950972? -1294278 What comes next: 46732, 45079, 43428, 41779, 40132, 38487? 36844 What comes next: 3523709, 7047427, 10571145, 14094863, 17618581, 21142299? 24666017 What comes next: 4848784, 4848536, 4848288, 4848040, 4847792, 4847544? 4847296 What is the next term in -2820, -5610, -8354, -11052, -13704, -16310? -18870 What comes next: -19654, -39263, -58766, -78163, -97454, -116639, -135718? -154691 What is the next term in 14308, 8886, 3464? -1958 What is next in -1861, -7387, -16607, -29527, -46153, -66491? -90547 What is the next term in 91359745, 91359746, 91359747? 91359748 What is next in 1812792, 1812784, 1812776, 1812768, 1812760? 1812752 What comes next: -20810185, -20810187, -20810189? -20810191 What comes next: -716134, -716162, -716190? -716218 What is next in -4422, -17842, -40190, -71388, -111358, -160022, -217302? -283120 What is the next term in -4328, -16553, -36930, -65459? -102140 What is next in 90230, 360952, 812154, 1443836, 2255998, 3248640, 4421762? 5775364 What is the next term in -490, -1332, -2362, -3274, -3762, -3520, -2242? 378 What comes next: 46347, 103004, 159651, 216282, 272891, 329472, 386019? 442526 What comes next: -1653, -6149, -13489, -23673, -36701? -52573 What is next in 1634, 20131, 70342, 168125, 329338, 569839, 905486, 1352137? 1925650 What is the next term in -341281, -341212, -341097, -340936? -340729 What is the next term in 317261, 317274, 317289, 317306? 317325 What comes next: -4354, -2369, 912, 5483, 11338, 18471? 26876 What is the next term in 18858, 74989, 168548, 299541, 467974, 673853, 917184? 1197973 What is the next term in 41, 1083, 2837, 5303, 8481, 12371? 16973 What is next in -3368, -2983, -2560, -2099, -1600? -1063 What comes next: 15967, 16303, 17095, 18571, 20959, 24487? 29383 What is the next term in 3150947, 6301894, 9452837, 12603776, 15754711? 18905642 What is the next term in -892, -7327, -24872, -59083, -115516? -199727 What is the next term in -923, -880, -823, -740, -619? -448 What is the next term in 337131, 337224, 337319, 337416, 337515,
{ "pile_set_name": "DM Mathematics" }
tive of -1/40*q**5 - b*q**2 + 2*q + 0 + 1/24*q**4 + 1/12*q**3. Factor c(x). -(x - 1)**2*(x + 1)/2 Suppose 5*k - 6 - 19 = 0. Factor -33 - 4*l**2 - 2*l + 0*l**2 + 33 + 2*l**k + 4*l**4. 2*l*(l - 1)*(l + 1)**3 Let g(h) = h**3 - 16*h**2 - 3*h + 50. Let u be g(16). Find p, given that 1/4*p**u - 1/4*p**3 + 1/4*p - 1/4 = 0. -1, 1 Let k = -53 + 91. Suppose 5*z + n + 0*n = 15, -2*z + 5*n = -6. Let -162*o**4 - 2*o - 5*o**5 + 6*o + 59*o**5 + 118*o**z + 8*o**3 - k*o**2 = 0. What is o? 0, 1/3, 2 Let v(q) be the third derivative of q**8/672 + q**7/210 - q**6/80 - q**5/30 + q**4/12 + 9*q**2. Factor v(f). f*(f - 1)**2*(f + 2)**2/2 Let o be 3/1 - (-5)/(-2). Let s be 14/(-8)*(-16)/56. Find y such that -1/2*y**3 + o*y + 1/2 - s*y**2 = 0. -1, 1 Suppose -k + 2*i + 33 = 0, -4*k + 220 = k + i. Suppose -3*l**2 - l - k + 43 + 4*l**2 = 0. What is l? 0, 1 Let c(n) be the third derivative of 1/150*n**5 + 0*n - 1/20*n**4 - 3*n**2 + 0 + 2/15*n**3. Factor c(x). 2*(x - 2)*(x - 1)/5 Solve -5/2*k - 5/4*k**4 + 0*k**3 + 0 + 15/4*k**2 = 0 for k. -2, 0, 1 Factor -28*x**4 - 93*x**3 - 64*x + 13*x**3 - 21*x**3 + 25*x**3 - 100*x**2 - 16 - 4*x**5. -4*(x + 1)**3*(x + 2)**2 Let u(r) be the third derivative of -r**6/60 + r**4/12 + 2*r**2 - 1. Factor u(v). -2*v*(v - 1)*(v + 1) Let y(p) = p**3 - 8*p**2 + 7*p + 8. Let a be y(7). Suppose -3*j = 2 - a. Determine f, given that -5*f**3 + 0*f + 7*f**5 - 2*f + 2*f**2 + 9*f**4 - 11*f**j = 0. -1, -2/7, 0, 1 Factor 0 + 3/4*i - 3/8*i**2. -3*i*(i - 2)/8 Suppose -3*x + 5*i - 6*i + 3 = 0, -2*i = -3*x - 6. What is p in 6/5*p**3 - 2/5*p**4 - 4/5*p**2 + 0*p + x = 0? 0, 1, 2 Suppose 0 = a + a + 4. Let g be ((-3)/1 - a)*-2. Factor 2*l - 2 - 3*l + 2*l**2 + l**g. (l - 1)*(3*l + 2) Let y = 151/34 + -50/17. Determine a so that -9/8*a + 1/4*a**4 + 11/8*a**3 + y*a**2 + 0 = 0. -3, 0, 1/2 Find g such that 0*g**3 + 6*g + g**3 - g - 4*g**2 - 2 + 0*g**2 = 0. 1, 2 Let g(a) be the third derivative of a**7/2520 + a**4/12 - 2*a**2. Let b(f) be the second derivative of g(f). Solve b(s) = 0. 0 Let r(q) be the second derivative of 0 - 1/3*q**3 - 3/10*q**6 + 0*q**2 + 3/10*q**5 + 5/12*q**4 - 2*q. Suppose r(p) = 0. Calculate p. -2/3, 0, 1/3, 1 Let p(m) be the second derivative of 0 + 1/147*m**7 - 1/35*m**5 - 1/7*m**2 + 1/21*m**4 + 1/21*m**3 - 1/105*m**6 - m. Suppose p(s) = 0. Calculate s. -1, 1 Let z(n) be the first derivative of 0*n**3 + 1 - n + 1/60*n**5 + 0*n**4 + 0*n**2 + 1/30*n**6 + 1/63*n**7. Let q(u) be the first derivative of z(u). Factor q(y). y**3*(y + 1)*(2*y + 1)/3 Let y(w) be the third derivative of 1/126*w**8 + 0*w - 1/35*w**7 - 1/6*w**4 + 4/45*w**5 + 1/9*w**3 + 1/90*w**6 - 3*w**2 + 0. Find m, given that y(m) = 0. -1, 1/4, 1 Determine y, given that 0 + 3/5*y**5 - 39/5*y**2 + 3/5*y**4 - 18/5*y - 21/5*y**3 = 0. -2, -1, 0, 3 Suppose 1 = 2*s - 3. Let o = 30 + -27. Factor 0*z**s + 0 - 2/11*z**o + 2/11*z. -2*z*(z - 1)*(z + 1)/11 Let t be 28/36 - 1 - 114/(-27). Factor -2/3*c**2 + 2/3*c**t + 0 + 0*c + 2/3*c**3 - 2/3*c**5. -2*c**2*(c - 1)**2*(c + 1)/3 Let u(j) be the first derivative of 0*j + 1 + 2/3*j**3 + 1/3*j**2. Factor u(b). 2*b*(3*b + 1)/3 Let v(w) = 9*w - 3. Let a be v(2). Determine x, given that -a*x**3 + 1 - 6*x**2 - 1 = 0. -2/5, 0 Let g(c) be the first derivative of 9 - 2/15*c**5 + 0*c**2 + 0*c + 1/6*c**4 + 0*c**3. Factor g(w). -2*w**3*(w - 1)/3 Let q(d) be the first derivative of -2*d - 6 + 2/3*d**2 - 2/27*d**3. Factor q(r). -2*(r - 3)**2/9 Let r(t) = -t**3 - t**2 - 2*t - 2. Let s be r(-2). Suppose 2*m = 0, -4*l - 2*m = -14 + s. Factor -3*z**4 - 3*z**l + 3*z**4 - 2*z**4 - 2 + 7*z**2. -2*(z - 1)**2*(z + 1)**2 Suppose 7*f = -0*f. Determine l, given that 3*l**4 + f*l**3 + 0*l**3 - 4*l**5 + l**5 = 0. 0, 1 Let g be 45/18*8/10. Determine q so that 4/3*q - 2*q**g + 0 + 2/3*q**3 = 0. 0, 1, 2 Let u be 3 + 2/(-4)*0. Factor 3*w**u + 0*w**3 - 9*w**4 + 6*w**4. -3*w**3*(w - 1) Factor -36/5*n**2 - 192/5 + 144/5*n + 3/5*n**3. 3*(n - 4)**3/5 Suppose -12*l + 14*l = 0. Let i be l - 8/(-84)*3. Suppose i*n**2 + 0 + 0*n = 0. Calculate n. 0 Let f = 139/99 + -11/9. Suppose 2/11*a**2 + 0 - f*a**4 + 0*a**3 + 0*a = 0. What is a? -1, 0, 1 Let f(h) be the second derivative of 0*h**6 - 1/105*h**7 + 1/50*h**5 + 0 + 0*h**2 + 0*h**3 + 3*h + 0*h**4. Factor f(s). -2*s**3*(s - 1)*(s + 1)/5 Let j(o) be the second derivative of -o**6/360 + o**5/60 + 5*o**3/6 + 4*o. Let f(i) be the second derivative of j(i). Determine a, given that f(a) = 0. 0, 2 Let q = -129/10 + 67/5. Factor -1/2*u + 1 - q*u**2. -(u - 1)*(u + 2)/2 Let c(i) be the third derivative of i**5/540 + 5*i**4/216 - 59*i**2. Factor c(p). p*(p + 5)/9 Let j(o) = -o**2 - o + 1. Let r be j(-2). Let s be 1/(r/(-8 - -2)). Factor -4*b**2 - b**4 + s*b**2 - b**2. -b**2*(b - 1)*(b + 1) Suppose d = 5*t + 17, -3*d - d - 4*t - 4 = 0. Let a = -9 + 18. Determine m, given that -m**d + 9*m - a*m = 0. 0 Let q(b) be the third derivative of -b**11/166320 + b**9/15120 - b**7/2520 - b**5/60 + 2*b**2. Let s(p) be the third derivative of q(p). Solve s(n) = 0. -1, 0, 1 Let s = 10 - 6. Let x(v) be the third derivative of 1/6*v**s + 0 - v**2 + 0*v + 0*v**3 - 1/10*v**5. Determine c so that x(c) = 0. 0, 2/3 Let f(z) be the first derivative of -z**6/10 + 3*z**5/5 - 27*z**4/20 + 7*z**3/5 - 3*z**2/5 + 10. Suppose f(d) = 0. What is d? 0, 1, 2 Let k(n) be the third derivative of 0*n**3 - 3*n**2 + 0*n**4 + 0 + 0*n**5 - 1/720*n**6 + 0*n. Factor k(o). -o**3/6 Let w(x) be the second derivative of 3*x - 1/5*x**2 - 2/15*x**3 - 1/30*x**4 + 0. Suppose w(t) = 0. What is t? -1 Suppose -2*w = -6*w + 8. Let v(q) be the first derivative of 4/15*q**3 - w + 0*q + 1/5*q**2 + 1/10*q**4. Factor v(o). 2*o*(o + 1)**2/5 Let i(j) be the third derivative of j**6/90 - j**5/20 + j**4/12 - j**3/2 + 2*j**2. Let d(w) be the first derivative of i(w). Find o such that d(o) = 0. 1/2, 1 Let 0*p - 3/4*p**2 + 0 + 1/4*p**3 = 0. What is p? 0, 3 Suppose 2*a = -3*a. Factor a + 2/3*q - 1/3*q**2. -q*(q - 2)/3 Let a be 4*1*14/8. Let b be a - 2 - (2 - 0). Solve -30*q**2 + 234*q**b + 8*q - 32*q**2 + 9*q**2 - 19*q**2 + 150*q**5 - 320*q**4 = 0. 0, 1/3, 2/5, 1 Let s(v) be the first derivative of 7*v**4/6 + 3*v**3 + 2*v**2 - 4*v - 6. Let r(l) be the first derivative of s(l). Find x, given that r(x) = 0. -1, -2/7 Let x(n) = 2*n**3 - 13*n**2 + 13*n + 5. Let u(c) = c**3 - 6*c**2 + 6*c + 2. Let s be 4/(-14) - (-102)/14. Let t(w) = s*u(w) - 3*x(w). Factor t(y). (y - 1)**3 Let u(c) = 20*c**3 + 28*c**2 + 8*c - 6. Let g(f) = -20*f**3 - 28*f**2 - 8*f + 5. Let a(s) = 6*g(s) + 5*u(s). Factor a(r). -4*r*(r + 1)*(5*r + 2) Suppose -z - 6 = 2*z, 2*g = -z + 16. Suppose 3*k = -5*a, -g + 3 = 2*a. Find j, given that 2/7*j**k - 2/7 - 2/7*j**4 + 2/7*j + 4/7*j**2 - 4/7*j**3 = 0. -1, 1 Let b(k) = -2*k**2 + 13*k + 47. Let f be b(9). Factor 5/2*i - 1 + 1/2*i**3 - f*i**2. (i - 2)*(i - 1)**2/2 Let n be -1 + 1 + (-4)/2. Let i(p) = 2*p**3 - 4*p**3 + 6*p**3 - 2*p**2. Let v(y) = 13*y**3 - 5*y**2 - y. Let g(l) = n*v(l) + 7*i(l). Factor g(k). 2*k*(k - 1)**2 Let r(v) be the first derivative of 25*v**6/21 - 16*v**5/7 + 3*v**4/7 + 16*v**3/21 + v**2/7 + 8. Factor r(h). 2*h*(h - 1)**2*(5*h + 1)**2/7 Let n(y) be the first derivative of y**5/60 + y**4/18 - y**3/18 - y**2/3 - 4*y + 1. Let t(r) be the first derivative of n(r). Let t(x) = 0. Calculate x. -2, -1, 1 Let o be ((-2)/(-9))/((-1)/(-21)). Suppose -3*z - 24 = -7*z. Factor o*a**3 - 4/3*a**4 + 10/3*a - z*a**2 - 2/3. -2*(a - 1)**3*(2*a - 1)/3 Let g(q) = 3*q**2. Suppose 0 = 8*j - 4*j + 4. Let u be g(j). Factor c**5 + 2*c**2 - 3*c**3 + 2 + c**4 + c - 4*c**2 + c**u - 1. (c - 1)**2*(c + 1)**3 Let j be 5 + (-16)/(-36) - 5. Factor -2/9*a - j + 2/9*a**2. 2*(a - 2)*(a + 1)/9 Let a be 50/126 + (-2)/7. Let v(l) be the second derivative of a*l**2 - 1/54*l**4 - l + 0*l**3 + 0. Suppose v(d) = 0. Calculate d. -1, 1 Find k such that -1/4*k**3 + 1/4*k**5 + 1/4*k**2 + 0*k + 0 - 1/4*k**4 = 0. -1, 0, 1 Let c(w) be the second derivative of 0*w**2 + 0*w**4 + 1/126*w**7 + 0*w**5 + 0 + 1/90*w**6 + 0*w**3 - w. Factor c(u). u**4*(u + 1)/3 Suppose t = -5*a - 0*a - 15, 2*t - 9 = 3*a. Let h be (-6)/(-3) - -3 - 2. Factor t*u**2 + 2*u**2 - h + 1 + 2*u - 2*u**3. -2*(u - 1)**2*(u + 1) Find n such that -15*n - 3/2*n**2 - 75/2 = 0. -5 Suppose 0 = m + 2*a + 2 - 10, 0 = -2*m - 5*a + 18. Let o(d) be the second derivative of 1/7*d**2 + d + 0*
{ "pile_set_name": "DM Mathematics" }
(128/384)/(88/(-90) + 1)? 15 Evaluate (((-9)/(-21) - 88/(-154))*0)/1. 0 Calculate 36/(11 - 15) - 93/6*-2. 22 What is ((-984)/(-205))/((-30)/100)? -16 What is the value of ((-2)/(-14)*44/99)/((-18)/(-63))? 2/9 Calculate 1/((-2)/8) - (-8129)/739. 7 Calculate (2 + 5 - -1)*(7 + -40 - -32). -8 What is the value of 4444/(-303)*18/(-11)? 24 Calculate (-5 + 20/16)/(15/(-80)). 20 Calculate ((-2)/4)/(((-10920)/(-117))/35). -3/16 Evaluate (-18)/15*(-6 - 4). 12 What is 5 + -2 - (30/(-55) - (-150)/275)? 3 (-19)/((-1330)/308) - 10/2 -3/5 -20*21/(-56)*13*16/1872 5/6 What is (-156)/10 + 816/1360? -15 What is (-874743)/(-25103) - (36 + -1)? -2/13 Calculate ((-29)/87*117/15)/((-4)/(-5)). -13/4 What is the value of 51/(-153) + 52/(-6) + (-8 - -17)? 0 What is -7 - 85/(-9)*252/315? 5/9 8/(-3)*(-4 + ((-1785)/10)/(-21)) -12 What is the value of 9 - 19 - ((-6 - -6)/(-4))/4? -10 Calculate ((-1 - -1) + -2)/(163 + -165). 1 (904/(-12204))/(2/6 + 1) -1/18 Evaluate (16 - (1 + 0)) + (-28)/(-224)*-40. 10 What is (-24)/(-2) - ((-90)/(-15) + -10)? 16 ((-80)/24)/(13 + (-1695)/90) 4/7 ((-78)/(-18) + -3)*594/72 11 Calculate (2/2)/(468/585 - 6/(-5)). 1/2 Evaluate -52*5/15 + 14/42. -17 What is (40/(-250))/((-63)/(-30) + -2)? -8/5 What is -25 + (-2)/14 + 59/413? -25 Calculate (12/126*7)/((-123)/117 + 1). -13 Evaluate ((-16)/(-720) - 3/5) + (-16)/72. -4/5 Calculate 1 + (((-66)/9)/(-2) - (-30 + 35)). -1/3 (-16)/50*((-245)/14)/(133/(-57)) -12/5 Calculate (2/(-14))/((-22 - -17)*(-13)/91). -1/5 What is the value of (-16)/(-2) + (6 - -3)/((-501)/(-668))? 20 ((-8)/7)/((-1820)/(-196) + -9) -4 Evaluate (325 + -332)/(15/9 - (-2)/(-3)). -7 Calculate (-10660)/(-1230) + 4/3. 10 Evaluate 87/6 - (7 + 44/(-8)). 13 Calculate (-504)/216*(-6)/(-399). -2/57 Evaluate (84/196)/((-39)/26). -2/7 Calculate 270/405*6/(-9). -4/9 Evaluate 31/(16 + 201) - (-1)/7*62. 9 Calculate (1 + 0)*(-38 + (-20188)/(-532)). -1/19 What is 0/7*(-23)/414? 0 What is ((-12)/34)/(26 + -29)? 2/17 33 + (-31 - (-29 - -38)) -7 What is the value of 12 - ((-6)/(-9))/(5 + 136/(-24))? 13 What is the value of ((-64)/920 - (-6)/(-46))*10/27? -2/27 Evaluate 24*((-310)/80 - -4). 3 Calculate ((-9)/(18/35))/(1/2). -35 What is the value of ((-19)/(570/(-108)))/((-123)/(-410))? 12 Evaluate 30 + ((-51560)/172)/10. 1/43 What is (16368/180)/(-44) - (6/(-9) + 0)? -7/5 What is (1 - 18/45)*110/6? 11 Evaluate ((-58)/(-609) + (-129)/252)*-2. 5/6 What is the value of ((-8)/6)/(76 + 2497/(-33))? -4 Evaluate (37/(1332/48))/(5 - -1). 2/9 Calculate -23 + -9 + (-1664)/(-32). 20 (2214/984)/((-27)/(-156)) 13 Evaluate (30 + (-2691)/92)/((-60)/8). -1/10 What is the value of (561/3927)/(-6 + 4 - 50/(-14))? 1/11 Calculate (-3)/(-12) - 16 - -16. 1/4 Calculate 350/(-38) - (-527 + 518). -4/19 What is the value of 31/((-3565)/92) + (4 - (-318)/(-15))? -18 Calculate -1*(310/(-31) + 19). -9 What is 13*((-1760)/(-520))/11? 4 What is (-60)/285 + 1440/342? 4 What is 1*8/(-16)*2*4? -4 2/37 - ((-1)/(-3))/((-2072)/(-137088)) -22 Evaluate 6 - (70/(-20) + 6)*-2. 11 Evaluate ((-2)/(-20))/(46/(-1495)) - 7/(-4). -3/2 Calculate ((-14)/(-18))/(-140 - -141 - (-16)/(-18)). 7 Calculate 18/(-10)*1*(49 - (-19363)/(-402)). -3/2 Calculate ((-336)/(-160))/(1/(-5)) - 12/(-2). -9/2 Evaluate (1296/(-3456))/((-142)/(-48) - 3). 9 What is (-3)/6*-18*(-36)/216? -3/2 What is the value of ((-12)/352)/(87/(-464))? 2/11 Calculate (-2)/(-41) - ((-55165)/(-2091) - 25). -4/3 Calculate ((9240/(-875))/44)/(4/(-10)). 3/5 What is the value of (2070/(-45))/(-2990)*(-2 + -2 + 2)? -2/65 What is the value of (66/44)/(-2*2 - 568/(-160))? -10/3 What is the value of 0 + (-1)/4 - (-56 + (-15405)/(-316))? 7 What is (-6 + 13 + -5)*(-9)/(-54)? 1/3 ((2 - 3) + -2 - (3 - 1))*-2 10 Calculate 30160/(-2900) + 4/(-3)*(-3)/10. -10 What is the value of (-36928)/(-39236) - (0 - -1)? -1/17 Calculate (13 - 17 - -18) + (-826)/63. 8/9 Calculate ((-96)/(-168))/((-10)/(-7)) - 28/(-30). 4/3 What is (-96)/8 + ((-12)/30)/((-4)/10)? -11 Calculate (4900/(-440) + 11)/(9/6). -1/11 ((-65)/26)/((2/(-24))/((-12)/(-24))) 15 What is -4 + (69/8)/(32/(1536/72))? 7/4 What is the value of 214/22 - (1 - -2)*(-100 - -103)? 8/11 What is the value of 2400/48 - 40 - 4/(-2)? 12 -1 - -5 - 488/18 - (-21)/189 -23 What is (13 - 15)/(4 + -2 - 4)? 1 1 - ((-1)/6)/((-1)/(-20)*-2) -2/3 What is (6/(-18)*1)/((-4)/12)*-10? -10 What is (-2)/(-10) + (-789)/(-55) + 456 + -470? 6/11 (-26)/351 + 456/324 4/3 Evaluate 0 + (10/(80/24))/5. 3/5 Calculate (1/7)/(128/1344)*8/102. 2/17 What is the value of ((-624)/(-5))/(-12) - (-96)/(-60)? -12 ((-10)/4)/(55/(-264)) 12 Calculate (-50 - -24) + 17 + 9. 0 Calculate ((-4)/(-24))/(102/(-36)). -1/17 What is the value of (-2*(-9)/(-168))/(((-546)/(-28))/39)? -3/14 Calculate (-4)/(-8)*-2*(130 - 43 - 46). -41 (1 - (-20)/(-30))/((-55)/99) -3/5 Calculate (-6 - (-96)/14)*7. 6 What is the value of ((-81)/6)/(126/168)? -18 ((-40)/(-25))/(((-18)/(-15))/(-3)) -4 What is the value of 34 - (38 + 0) - 24? -28 What is the value of (18/(-48))/(9/12) + (-66)/220? -4/5 Calculate 40/64*72/60. 3/4 What is -2 - -17 - (2/(-10) + (-192)/(-60))? 12 What is the value of 8/(-12)*(1081/(-46) + 26)? -5/3 What is (4 - (-33)/(-9))/(6/(-108))? -6 What is (24/(-90)*(-50)/16)/((-1)/(-2))? 5/3 Calculate (6/(-12))/(-5 - (-1910)/380) - -1. -18 Evaluate (0 + 3/8)*(19 - (-25)/5). 9 What is the value of 9 - (-17)/(-221)*0? 9 ((-58)/12 + 5)/(21/(-12)) -2/21 (140/21 - (-1 + 8))/((-4)/(-204)) -17 What is -10*(-34 + 5472/160)? -2 (23/10)/((-1)/(-2)) - (10 + -5) -2/5 Evaluate (-3)/(-205 + 208 - (62/32 + 2)). 16/5 Calculate (-14)/((-1 - 2)*560/140). 7/6 (63/(-36) - -2)*8/(-20)*2 -1/5 Evaluate (-5 + 20*(-6)/(-16))*(-32)/(-40). 2 What is the value of (-35)/(3150/(-4))*-3? -2/15 What is (-36)/(-24)*((-8)/(-10) + (-245)/150)? -5/4 (-2)/(-9) + (591/(-1080) - 6/20) -5/8 Calculate (-32)/(-160) - (-696)/(-480). -5/4 (23 - (-235)/(-10))/(((-4)/(-56))/(-1)) 7 Evaluate 29/(-66) + ((-4)/36)/(10/(-15)). -3/11 Calculate ((-39)/(-9) + -3)*549/122. 6 What is ((-11)/18 - (-1)/9)*2/(-20)? 1/20 Calculate 96/1536 + (-39)/368. -1/23 What is the value of (-14)/49 + 6 + 544/(-56)? -4 Calculate (-373)/(-24245)*(1 - -4). 1/13 What is the value of ((-9)/(-27))/(22/(-792))? -12 Evaluate (-948)/(-632)*10/1. 15 Calculate 21 + 17 - 6583/174. 1/6 What is 47/(6392/800) + (-6 - (2 - 2))? -2/17 Evaluate (-2430)/(-990) - (-6)/11. 3 Evaluate -11 - (12120/(-432) + (-3)/(-54)). 17 Calculate (-12 - (-944)/64) + (2 - 6). -5/4 Calculate (1920/(-28))/(-16) - 4/14. 4 Calculate -1 - 3/(-14) - 20/(-40). -2/7 What is 4080/8568*((-12)/(-10))/(-1)? -4/7 What is 42602/35442 - 24/22? 1/9 165/297 - 270/(-1701) 5/7 Evaluate 13 + 11/110*22*-5. 2 Evaluate 378/280*(-20)/(-90). 3/10 What is (-37)/((-2849)/(-968)) + 13? 3/7 (-22 + 20)*(-63)/42 3 Evaluate 75/9 + (-16 - -23) - (-12)/(-36). 15 What is (-21)/5250*25 - 53/(-330)? 2/33 ((-39743)/4884 - -8) + 8/148 -1/12 Calculate (-60771)/(-1101636) + 2/71. 1/12 What is (-15)/(-45)*108/(-8)? -9/2 Calculate (-609)/147 - ((-188)/46 - 4/(-46)). -1/7 What is the value of (1/5)/(-1) + ((-168)/(-15) - -2)? 13 Calculate 268/40 + ((-357)/102)/((-2)/(-4)). -3/10 2 + (-3)/2 + (-14 - (-703)/38) 5 What is the value of 12/(-22) + (1824/(-44) - -29)? -13 Calculate ((-3)/10)/(-11 + (11 - (-42)/(-35))). 1/4 What is 14/(-3) - (2 - (-4 + 3 + 10))? 7/3 ((-68)/(-85))/(21/45*-6) -2/7 Calculate 5 - 23 - (-99 + 84). -3 Calculate ((-21)/(-42))/(245/210). 3/7 Evaluate 14/(-252) - ((-550)/(-36) + (-36)/(-54)). -16 What is the value of 2/(-30)*(-801)/534? 1/10 What is (2*(-9)/(-12))/(51/(-17) - 0)? -1/2 What is the value of (40/(-120))/((-6)/(-378)*12)? -7/4 Calculate (-432)/(-3672) - 72/323. -2/19 What is the value of (36/126)/(10/14) + (-16)/40? 0 What is 1/(-2)*(71 - 53)? -9 Evaluate ((-48)/280*7)/((-15)/(-50)). -4 (2/((-8)/3))/(10185/32592) -12/5 Evaluate 1*4 - (646/51)/(-19). 14/3 ((-972)/46)/3 + ((-187)/(-17) - 4) -1/23 Evaluate (-24)/21 - (58 - 300102/5082). -1/11 What is the value of -4 + (-687)/(-36) + -15? 1/12 Evaluate (-42)/(-4)*(-100)/150. -7 What is the value of 24*(-12)/(-336) - 2*(-2 - -3)? -8/7 Evaluate 50/(-30 - -5)*10. -20 (-216)/(-486) + ((-260)/9)/2 -14 What is (-43)/(-602)*371 - (-2)/4? 27 3/(-104) - (14 + 2944/(-208)) 1/8 Calculate (1/2)/(10 - 1170/108). -3/5 What is 35/(-1980) + (-65)/(-1430
{ "pile_set_name": "DM Mathematics" }
press -5 + 42*x**2 + 55*x**4 + 14*x + 0*x - 45*x**2 - 57*x**4 as h*x + u + a*x**4 + d*x**2 + b*x**3 and give a. -2 Rearrange (19 + 44 + 346 - 54)*(-2 - b + 2) to the form x + j*b and give x. 0 Rearrange -1 - 3*v**2 + 2*v**3 + 8 - 6 - 2*v + 2*v**2 to the form b*v + q*v**2 + c*v**3 + o and give c. 2 Express 5*r**3 - r**2 - 4*r**3 + 231*r - 219*r as d + p*r**3 + c*r**2 + j*r and give j. 12 Rearrange -d**2 - 9*d**3 + 3*d**4 - 3858*d - 2 + 3858*d to the form p*d**2 + a*d + v*d**4 + j*d**3 + m and give m. -2 Rearrange 4*o**4 - 5*o + 5*o + (-13 + 13 + 36*o**3)*(o + 0*o - 2*o) to r*o**3 + s*o + w*o**2 + g + c*o**4 and give c. -32 Rearrange 12*j - 7 - 3 + 10 - j**2 + 0*j to the form l*j**2 + w*j + t and give w. 12 Rearrange (-81 - 75 + 20)*(4 - 2 - 1)*(0*v - 3*v + 6*v) to the form p + r*v and give r. -408 Rearrange -15*f**2 + 3*f**2 + 54 + 6*f**2 to the form h*f + l + k*f**2 and give l. 54 Express (r**3 + 13*r + 5*r - 8*r)*(0*r + 0*r - 3*r) in the form i*r**4 + y + l*r**3 + s*r**2 + o*r and give i. -3 Express (x**2 + 2 - 2)*(-3*x - 3*x - 2*x + (0*x + x + 4*x)*(-1 - 2 + 1)*(-6 + 3 + 1)) in the form r + z*x**2 + c*x + a*x**3 and give a. 12 Express (-2*v**3 + 4*v**2 - 4*v**2)*(-v - 2*v - 8*v + (0*v + 0*v - v)*(1 - 3 + 3)) in the form n + j*v**3 + a*v + l*v**2 + r*v**4 and give l. 0 Express (2 - l - 2 + (-115 + 23*l + 115)*(2 - 7 + 3) - l + 6*l - 2*l)*(-l + 5*l - 3*l) as f*l**2 + h + g*l and give f. -44 Express (-30*p - 19*p - 34*p)*(-6 + 4 - 9) in the form t + h*p and give h. 913 Rearrange (-1 + 3 - 3)*(1 - 3 + 4)*(-3*r + 6*r - 9*r) to x*r + z and give x. 12 Express 0*i**2 + 5500*i**3 - 5496*i**3 - 3*i - i**2 as y*i**2 + q + j*i**3 + o*i and give o. -3 Rearrange 1081*d**2 - 3 - 2 - 888*d**2 + 5 to the form h*d**2 + x*d + a and give h. 193 Rearrange (-2*d**2 - 1 - 6*d**2 + 5*d**2)*(-10 - 3*d**2 + 613*d - 613*d) + 0*d - 2*d**4 + 0*d to the form g*d**4 + s + k*d + u*d**2 + y*d**3 and give g. 7 Rearrange (-2*s - 3*s + 4*s)*(-5*s + 2*s + 2*s) - 86*s**2 + 36*s**2 - 95*s**2 to x + t*s**2 + n*s and give t. -144 Rearrange -3*k**2 - 2 + 15 - 11 + 3*k - 3*k**3 to the form f*k + n + q*k**3 + d*k**2 and give d. -3 Rearrange (-2*h + 2*h - 2*h)*(2*h - h - 4*h) + 8*h**2 - 4*h**2 + 7*h**2 to c*h + w*h**2 + l and give w. 17 Express 72*m**3 - 199*m**3 - 147*m**3 + (-4*m + 2*m + m)*(3*m**2 - 4*m**2 + 0*m**2) as l*m**3 + b*m + y*m**2 + i and give b. 0 Express (-2 + 2 + p)*(6417 - 12839 + 6422 - 8062*p**2) in the form t*p + h + z*p**2 + w*p**3 and give w. -8062 Express 11 + 187*j + 0 - 11 in the form b*j + y and give b. 187 Express 2*s**3 + 20*s**3 - 7*s**3 + 3*s - 2*s**3 - 3*s + (-3 + 3 + 1)*(2*s**3 - 4*s**3 + 0*s**3) as l + u*s + z*s**2 + w*s**3 and give w. 11 Express 46*x + 58*x + 0*x as o*x + i and give o. 104 Express 39*g + 2*g**2 - 68*g + 31*g + 2*g**3 - 3*g**4 as d*g + i*g**2 + v*g**4 + a*g**3 + o and give d. 2 Rearrange -2924 + 2924 + 239*z**2 to the form q + h*z**2 + i*z and give h. 239 Rearrange (104*n + 8*n**2 - 106*n + 8*n**2)*(-n + 3*n - 9*n) to the form t*n**3 + w*n + k*n**2 + g and give t. -112 Rearrange 6*d**4 + 37*d - 84*d + 43*d + (-4*d - 4*d + d)*(-3 + d**3 + 3) to j + a*d**3 + h*d**2 + p*d + z*d**4 and give z. -1 Rearrange 13*b**2 - 4*b**4 - 41*b**3 + 26*b**3 - b + 12*b**3 to u*b**3 + h + f*b**2 + m*b + r*b**4 and give m. -1 Rearrange -109*q**2 + 194*q**2 - 133*q**2 + (4*q - 4*q + 5*q)*(-q + 0 + 0) to the form w*q**2 + v*q + p and give w. -53 Rearrange ((-1 - 4 - 7)*(w + 1 - 1) - 5*w - 3*w - 2*w)*(4*w**3 - 7*w**3 + w**3) to the form m*w**3 + b + v*w**4 + k*w + a*w**2 and give v. 44 Express 3*n**3 - 2*n**4 - 6*n**3 + 27*n**2 - 637*n + 635*n as l*n**4 + t*n**2 + a*n + u*n**3 + j and give u. -3 Express (17*x + 4*x - 8*x)*(19*x + 31*x - 2*x) as k + f*x**2 + d*x and give f. 624 Rearrange (-69 + 121 + 9*n**2 - 111)*(-3 + 3 - 2*n) to y*n + d*n**2 + f*n**3 + x and give f. -18 Express (-5 + 3 + 1)*((o + 0*o + 6*o)*(1 + 0 + 1) - 1 + 1 + o) as i + x*o and give i. 0 Rearrange -3*x - x**4 - 1131*x**3 + 2 - 3 - 1 + 0 + 1133*x**3 to m*x**2 + a + r*x + t*x**3 + b*x**4 and give t. 2 Rearrange 346*o - 9*o**2 - 1 + 2 - 335*o - o**4 to g*o**4 + l*o**3 + b*o**2 + j + x*o and give g. -1 Express 2 - 3*u**3 - 2*u**4 - 3 - 8 + 4*u**4 + 3 in the form d*u**2 + t*u**4 + w*u**3 + y*u + i and give w. -3 Express 5140*w**2 - 3*w**4 - 2 + 2*w**4 - 2*w**3 - 5512*w**2 in the form t + q*w + c*w**2 + i*w**3 + j*w**4 and give i. -2 Rearrange (-p + 0*p - 5*p)*(-3 - 4 + 4)*(4 - 3 + 0)*(196*p - 9*p**2 - 196*p) to i*p**2 + a + t*p**3 + s*p and give t. -162 Rearrange 3 + j + 1 + 7 + 53*j**2 - 56*j**2 to the form k + c*j + u*j**2 and give u. -3 Rearrange -11*j - 3*j**2 + 8 - 6 + 18 + 15*j - 1 to the form s*j**2 + z + g*j and give z. 19 Express 43 - 52 - 2*v**2 + 6*v**2 - 3*v**2 - v + v + (1 - 1 - 2*v)*(v + v + 0*v) + v**2 + v**2 - 4*v**2 as f*v**2 + b + o*v and give b. -9 Express (0 - 1 + 0)*(18*k + 16*k + 3*k) as t*k + y and give t. -37 Rearrange (-4*v + 4*v - 2*v**2)*(1 + 2 - 2)*(5 - 2 - 1)*(1334*v + 1646*v - 834*v) to the form p*v**2 + i*v**3 + f + h*v and give i. -8584 Rearrange 151 + 41*y**2 - 123*y**2 - 150 to r + m*y**2 + q*y and give m. -82 Express (14 - 1 + 18)*(4 - 2 - 4)*(0*j - 3*j + j) in the form i + w*j and give w. 124 Rearrange 22*q**2 - 105 + 0*q + 2*q + 104 to the form s*q**2 + f + a*q and give s. 22 Rearrange 1 + 163*d - 36*d - 46*d - 40*d + 15*d**2 - 35*d to x*d**2 + a + j*d and give j. 6 Express (-4 - 2*h**2 + 4)*(2*h + 2*h - 6*h) - 163*h**3 - 4185*h**2 + 4185*h**2 as l*h**2 + x*h + d*h**3 + f and give d. -159 Rearrange -1773*d + 1334*d - 1712*d to the form g + c*d and give c. -2151 Rearrange 265 - 537 + 107*a**2 + 267 to the form r*a + p*a**2 + g and give p. 107 Express -220 + 67*c - 1869*c + 112 + 108 in the form o*c + w and give o. -1802 Express (-4649*o + 4649*o + 33*o**2)*(5 - 5 + 2*o)*(o + 8*o - 11*o) as l*o**2 + s*o**4 + r*o + n + v*o**3 and give s. -132 Express 19*g + g**3 - 2*g**3 + 25*g + 5 - 56*g - 2*g**4 + 15*g - 5*g**2 in the form q*g + v + o*g**3 + t*g**4 + u*g**2 and give t. -2 Rearrange -12*s + 59*s + 19*s + 43*s to n + a*s and give a. 109 Express 14220 + 29*t**2 - 14220 as a*t + u*t**2 + l and give u. 29 Express 274*r + 349*r + 206*r as w*r + f and give w. 829 Rearrange (542 - 954 + 725)*(-2*y - 3*y + 2*y)*(1 - 4 + 6) to the form s + v*y and give v. -2817 Rearrange (-4*u + u + 5*u)*(-18*u**3 - 89*u**3 + 28*u**3) - 2*u**4 + 2*u**4 - 3*u**4 to b*u + w*u**4 + p*u**3 + d*u**2 + y and give w. -161 Rearrange 22 + h - 9 + 4*h + 5*h to the form l + j*h and give l. 13 Express (0*f - 8*f - f)*(-4 + 2 - 2) - 4*f - f + f in the form o + t*f and give o. 0 Rearrange 6*p**2 + 40*p + 23 - 20*p**2 - 40*p to the form z + n*p**2 + r*p and give z. 23 Express (92*n - 29 + 29)*(-1 - 3*n**2 - 5*n + n**2 + 14*n) as i*n**3 + v*n**2 + q + g*n and give v. 828 Rearrange -2882*b + 2881*b - 1041 - 115 to the form l*b + q and give l. -1 Express (-v**4 + 3*v**4 - 4*v**4)*(-121 - 1119 + 579 - 1245 - 975) in the form z*v**3 + t*v + r*v**2 + n*v**4 + o and give n. 5762 Express -235*i - 198*i - 309*i + 181*i as c*i + p and give c. -561 Express 6*l**2 - 6 + 2*l + 53*l**4 - l**3 + 5 + 0*l - 56*l**4 in the form b*l**3 + n + j*l + v*l**4 + x*l**2 and give b. -1 Rearrange -292*x + 142*x - 5*x**2 + 145*x + 29*x**2 to the form r*x**2 + v*x + l and give r. 24 Express -h**4 + 2*h**3 + 3*h - 12 + 3*h**2 - 7*h + 18 - 8 as b*h + p*h**3 + n*h**2 + q + z*h**4 and give q. -2 Express -53 + 184 - 73 - 2*v + 11*v**3 in the form n*v**3 + a*v + z + h*v**2 and give n. 11 Rearrange 220*o**2 + 20*o**4 + 0 - 2*o - 218*o**2 + 0 to v*o**3 + u + z*o**2 + t*o + n*o**4 and give z. 2 Rearrange (-3*f - f + 2*f)*(-761 + 293*f + 761)*(4 - 1 - 2) to the form h + d*f**2 + c*f and give d. -586 Rearrange (0 - 1 + 3)*(0 - t**3 + 0) - t**2 - 2*t**3 + t**2 - 5357*t**2 - 374*t**3 + 5357*t**2 - 1 to h*t + j*t**2 + c*t**3 + d and give c. -378 Rearrange 20 - 25*i + 155 + 8*i + 4*i + 11*i to j + k*i and give k. -2 Rearrange (-13 + 45533*d - 4*d**2 - d**2 - 45535*d)*(3*d**2 - 2*d**2 - 2*d**2) to a*d**3 + x + b*d**2 + v*d**4 + s*d and give v. 5 Rearrange 535*d**4 + d + 4*d**3 - 540*d**4 - 4*d**3 - 7*d**2 to z*d**4 + s*d**3 + b*d + h + a*d**2 and give b. 1 Rearrange -3*g**4 - 9*g**4 + 4*g**4 + 3*g**3 + 3*g + 2*g**4 + 5 + 4*g**4 to n*g**3 + v
{ "pile_set_name": "DM Mathematics" }
*m*m*((m/((m**(-26)/m)/m))/m)/m*m)*m**(-1/6))**(-33) assuming m is positive. m**(-5401/2) Simplify (o**(-1)*o)/(o/(o*o/((o/(o*((o/(o*o*o*o/o**(-6))*o)/o)/o)*o)/o))*o)*(o**(2/5))**21*(o**0*o)**(-1/16)/(o**1)**49 assuming o is positive. o**(-4053/80) Simplify (((o**(2/11))**(2/97)*o**(-15)*o*o**(-5))**40)**(-27) assuming o is positive. o**(21890520/1067) Simplify (z**4*z*z*z**2*z*(z/z**(-1/7))/(z**5*z))/((z**(2/9))**(-26/3))**(-2/9) assuming z is positive. z**(6319/1701) Simplify ((h**(-12)*h/h**(-1/3)*h*h*h*((h**(-1/2)/h)/h)/h*h**15)**(-2/17))**(-1/14) assuming h is positive. h**(23/714) Simplify ((n**(2/3)/n)**(-13/7)*n**(2/7)/(n/n**(-5)))/(n**6/n*n*n**(2/5)/n)**(-11/3) assuming n is positive. n**(1544/105) Simplify (l**(-1)*l/(l/l**(-7)))**17/(l**(1/9)/l**(5/4))**(-15/2) assuming l is positive. l**(-3469/24) Simplify (f**(-7)*f*(f/(f/(f*f*f**(-8/3))*f))/f)**(-1/20)*(((f/((f/(f*f**(-8)))/f*f)*f)/f)/(((f*f/(f/(f*f*f/f**7*f)))/f)/f))**(-1/12) assuming f is positive. f**(41/60) Simplify ((s/(s/s**6)*s**(-3))/(s**(-5)*s/s**2))/((s/s**(-2/13)*s**(-4))/(s**(-2/11)/s*s/(s*s**(-1/5)*s))) assuming s is positive. s**(7053/715) Simplify (w**(-5/8)*w**(-13)*(((w/((w*w**31*w*w*w*w)/w))/w)/w)/(w*w/(w**(-3)*w)))**(-1/2) assuming w is positive. w**(429/16) Simplify (w**(1/3)*w/(w*w*w**(-2/17)))**29/((w**(2/5)*w)/(w/(w*w**6))*(w**1)**(-14)) assuming w is positive. w**(-2377/255) Simplify ((n**(-10)*n)/n**(-4)*n**12/n*n**(8/5))**(-2/9) assuming n is positive. n**(-76/45) Simplify (f**(5/2)/(f/f**17))/(f**42*f*f**(3/10)/f) assuming f is positive. f**(-119/5) Simplify ((d/(d/(d*d*d**(-3/5))))/d**(7/2))**21/((d**(1/3))**(-3/26)*((d*d*(d**(-2/9)/d)/d)/d)/(d/(d*d**(-1/5)))) assuming d is positive. d**(-24944/585) Simplify (((i**(-2)*i)/(i**(4/9)*i))/((i**(2/3)/i)/i**(-11)))**(-4) assuming i is positive. i**(472/9) Simplify (((u/(((u/u**(-6))/u)/u))/u*u)/(u*u**(-1)*u*u)*u**(-1/11)*u/(u/u**(-2/27)))**(2/55) assuming u is positive. u**(-3662/16335) Simplify ((x*x/(x*x**(2/21)/x))**(4/27)*(x/(x*x/(x*x**(-4/9))))**(-7))**(-2/23) assuming x is positive. x**(-3848/13041) Simplify ((i*i**(-14)*i*i*(i/((i**(-4)*i)/i))/i)/((i/(i/(i**6*i)))/i*i)**(1/21))**(15/8) assuming i is positive. i**(-55/4) Simplify ((q**2/(q/(q/(q/(q**(2/3)*q))*q)))/(q**(-1)/(q*q/(q/q**(4/5)))))/(q**(-9)*q**(-6)*(q**(-4/11)*q)/(q/q**7)) assuming q is positive. q**(2447/165) Simplify (u**(-3/2)/(u**(4/9)/u))**20/(u**(1/4)*u*u**(1/5)*(u*u**0/u)**45) assuming u is positive. u**(-3661/180) Simplify ((i/(i**2/i))**(-1/2)*i**(-14)*i/i**16)**4 assuming i is positive. i**(-116) Simplify (y**0*y*y**(5/7))**21*(y/(y/(y/(((y/y**7)/y)/y))*y)*y*y**(5/3))**(1/78) assuming y is positive. y**(4228/117) Simplify ((r**(-1/3)/r)/r)**(-7)/(r**(-1/2))**(15/2)*(r**(-6)/(r/r**(-1/12)*r))/(r**(-1))**18 assuming r is positive. r**30 Simplify c/c**4*c/c**5*((c/(c**0*c))/c)**(-1/6)*(c/(c**12*c)*c**(-3))**(-2/5) assuming c is positive. c**(-5/6) Simplify (((f**(-1)*f)/f)/f**0*(f/(f/(f**0*f)))**(-12))/(f**1/(f*f/((f/(f*f*f/(f/(f/(f/(f*f**1))))*f))/f))*(f**(1/2))**(-18)) assuming f is positive. f**2 Simplify (((((n*n*n**(-3/2))/n*n)/n)/(n*(n**(-15/8)/n)/n))/(((n/((n/(n**(3/2)*n))/n))/n)/n*n*n*n*n**11*n))**30 assuming n is positive. n**(-1695/4) Simplify c**(-4)*c**(-1/4)*(c**(-2/5)/c)**(-17/3)*(c/c**0)**(-4/9)*c**(1/4)*c*c*c*c*c**1*c assuming c is positive. c**(427/45) Simplify ((o**(1/3))**(-2/37))**(-2/43)/((o**(-1))**28/(o/o**7*o/(o**(-1/2)*o)*o)) assuming o is positive. o**(224339/9546) Simplify n**(-2/7)*(n/(n**3*n))/n*n**(-2/5)*(n/(n/n**(-2)*n))/n*(n/((n/(n*n**1))/n))/n*n*n*n**(-3)*n**(-2/5)/(n/((n**5/n)/n)) assuming n is positive. n**(-213/35) Simplify ((m*m**(1/13))/m**(-1/5))**34*(m*m*m*m/m**1*m*m)**(2/13)*m**(-1/5)/m*(m**6*m)/m assuming m is positive. m**(3184/65) Simplify ((p*p**0)**(-5/9)/(p**1/(p*p**(2/5))))/((p/p**(-7)*p)/(p/p**(-1/5))*p/(p/p**(-1/6))*p*p**(2/15)) assuming p is positive. p**(-803/90) Simplify (u**(-3)/((u*u/(u*(u*u**(-11)/u)/u))/u)*(u*u/(u**(-17)/u*u))/u*u**6)**(-2/159) assuming u is positive. u**(-6/53) Simplify ((q/(q*q**(2/3)))/q*q/(q/(q/q**(-1/2)))*q**(-2/3)*q*q*q**(-3/7))/((q**1)**45*q**(-3)/q*q**0/q) assuming q is positive. q**(-1649/42) Simplify (a**(-6)*a/(a*a*a*a/a**3*a*a))**(-32)/((((a/a**(-1/3)*a)/a)/(a**(-5)/a))/((a/(a**2*a))/(a**4*a))) assuming a is positive. a**(725/3) Simplify ((v*v*v*v/(v**(-1/3)/v))/(v*v**4))**(-4)*v**(-5)*v*v**(2/13)*v*(v/v**3)/v**1 assuming v is positive. v**(-280/39) Simplify (b**(5/6)*b/(b/(b*b**(1/5))*b)*(b**(-1/4))**(17/5))**(-4) assuming b is positive. b**(-11/15) Simplify (((i*i**(1/4))**(25/4)/(i**(-9)/(i/(i*i*i**9*i))))**(25/2))**(-5) assuming i is positive. i**(-11625/32) Simplify y**(-4)/(y**0*y)*(y*y**(-6))/(y*y**(-2)*y)*(y*y/y**1)**(-27)/(y*y/y**(-1))**22 assuming y is positive. y**(-103) Simplify (l**(2/11)*l**(-7)*(l**(-1/5)/l)/(l/(l**(-6/7)*l)))/((l**6*l*l**(-2/7))/((l*l*(l**4/l)/l)/l*(l/((l*l**(4/5)*l)/l*l))/l*l)) assuming l is positive. l**(-1108/77) Simplify ((((h*h**8)/h)/(h*h**(-21)))/(h*(h**9*h)/h*h**(-1/4)*h))**14 assuming h is positive. h**(483/2) Simplify (l*(l/(l/(l/l**2)*l)*l)/l)/(l**(1/2)*l)*l**2*l*l*l*l*l/(l*l*(l**(-6)*l*l)/l)*l*(l*l**(2/3)*l)**12/(l**6*l*l**(-1/6)*l*l) assuming l is positive. l**(95/3) Simplify o/(o**22*o)*o*o**(-29)/o*o**(-14)*(o*o**(-1/4))/o*o assuming o is positive. o**(-257/4) Simplify ((y**3/y**(-1/2))/((y/(y/((y*y*y/y**(-2)*y*y)/y)))/(y**6/y*y)))/((y**3*y**(1/2))/(y**(-2/3))**48) assuming y is positive. y**(-32) Simplify ((q/((q**1/q)/q*q)*q**(-2))/(q*q**(3/5)/q*q*q**(3/7)*q))/(q**(-2/5)*q**(2/3)*((q**(-1/2)*q)/q)**(-18)) assuming q is positive. q**(-1396/105) Simplify (((n**1)**(-3/13)*((n/(n*n/(n/(n*n*n**(1/5)*n*n))*n))/n)/n**(-3))**(-2/135))**43 assuming n is positive. n**(19178/8775) Simplify ((((((w*(w*(w*w**1*w)/w)/w*w)/w)/w)**14)**(-12))**12)**8 assuming w is positive. w**(-32256) Simplify ((r*((r/r**(1/3))/r)/r)**50/(r**10*r*r**(3/4)/r))**48 assuming r is positive. r**(-1316) Simplify ((o/(o/(o/(o/(o*o**(-11)))))*o**0)/(o**(-4)*(o/((o/o**(5/6))/o))/o))**(1/29) assuming o is positive. o**(-41/174) Simplify (l**(2/25))**9*l**(-12)/(l**(-17)/l) assuming l is positive. l**(168/25) Simplify ((h**1*h)**(-2))**(-3/29)*(h/(h*(h/((h/(h/(h*(h**(-15)/h)/h*h*h))*h)/h))/h*h)*h**(-1/2))**(-2/13) assuming h is positive. h**(1055/377) Simplify ((u/(u*u/u**(1/6))*u/(u/(u/(u/((u**12/u)/u)))))/(u**2/(u/(u*u*u*u**(-2/15)))))**9 assuming u is positive. u**(477/10) Simplify ((x**(1/7))**28*x**(3/22)*(x*x**20)/x)**(-1/4) assuming x is positive. x**(-531/88) Simplify (s**(3/2)/((s/(s/(s*s/(s/s**(-4/15)))*s))/s*s))/((s**23/s)/s**(8/3)) assuming s is positive. s**(-527/30) Simplify ((l**3/(l*l**2))/(l**(2/7))**(-1/24))/(((l**(2/9)*l)/l)/(l/l**(-1/7))*(l*l**(-2))**(-41)) assuming l is positive. l**(-10097/252) Simplify (f**(-5)/(f/(f**(-6)*f)))/(f*f**(-4)/f*(f/(f*f**(-4/3)))/f)*((f/f**(-5/4))/((f**(2/19)*f)/f))**(-3/37) assuming f is positive. f**(-63331/8436) Simplify (p**(-7/2)*p**(-1/3))**(-2/93)*((p*(p*p**4)/p)**(-39))**(-1/98) assuming p is positive. p**(56659/27342) Simplify ((i**14*(i/(i**(2/27)*i))/i)**(-25))**(-3/40) assuming i is positive. i**(1745/72) Simplify (((w/(w*w*w/(w/((w**(1/24)*w*w*w)/w))))/(w**31/w))/(w**(-2/7)/w**(-29)))**(-34) assuming w is positive. w**(176375/84) Simplify ((((t/(t*t*(t/((t**(-41)*t)/t))/t*t*t)*t)/((t*(t**(-29)*t)/t*t)/t))**(-50))**(-27))**(6/13) assuming t is positive. t**(-121500/13) Simplify ((b**(2/15))**(6/29)*(b**14*b)/((b/(b/(b**(-5/14)/b*b)))/b))**(-47) assuming b is positive. b**(-1563267/2030) Simplify (t**(-4/5)/t*t/t**2)/(t**(2/7)*t)**(-25)*t**(-1/9)/(t*t**(-2/3))*t*t/(t*(t/(t**5*t))/t)*t*t**(-1/3) assuming t is positive. t**(11518/315) Simplify (h**7/((h*h*h**(-1))/h))**(-40)/((h**(-1/2))**43)**31 assuming h is positive. h**(773/2) Simplify l**(-41/5)*(l/l**(3/5))/l*(l/(l**(-20)*l)*l*l*l)/(l/l**(9/11)) assuming l is positive. l**(771/55) Simplify (((q/q**(2/43)*q/((q*q**(5/9)*q)/q))**(-24/7))**22)**(-5/11) assuming q is positive. q**(1760/129) Simplify ((h*h**(2/7))**10*((h*h*h/(h**0*h))/h)**7)/(h**0*h*h**(1/2)*h*(h*h/h**0)**21) assuming h is positive. h**(-345/14) Simplify (h*h/h**(-7)*h*h*h/(h/h**(-4)))/(h**(-2)/h**(2/5))*((h/h**(-1/6))/((h/(h/h**5))/h*h*h))**(-48) assuming
{ "pile_set_name": "DM Mathematics" }
onvert 85611.69 millennia to years. 85611690 What is 43636.79 nanometers in kilometers? 0.00000004363679 What is 0.1077531l in millilitres? 107.7531 Convert 36718.99ug to milligrams. 36.71899 Convert 3.2366 weeks to milliseconds. 1957495680 What is thirty-one fifths of a decade in years? 62 How many kilometers are there in 9488.055 meters? 9.488055 How many millilitres are there in 0.5960892l? 596.0892 Convert 56876.72 centuries to decades. 568767.2 How many months are there in 1/4 of a year? 3 What is twenty-seven halves of a litre in millilitres? 13500 What is 2716.9815 months in years? 226.415125 How many seconds are there in 5/6 of a minute? 50 What is 25/2 of a millennium in years? 12500 How many milliseconds are there in 6/5 of a minute? 72000 What is 1/24 of a week in seconds? 25200 What is 920730.3 milliseconds in microseconds? 920730300 What is 51/5 of a gram in milligrams? 10200 How many hours are there in 1/6 of a week? 28 What is one quarter of a centimeter in micrometers? 2500 How many millilitres are there in 21/8 of a litre? 2625 How many grams are there in 746193.7t? 746193700000 What is 98.02827 nanometers in millimeters? 0.00009802827 How many years are there in 37/5 of a millennium? 7400 Convert 573.4425 millennia to decades. 57344.25 How many millilitres are there in 17/4 of a litre? 4250 What is 6.485871l in millilitres? 6485.871 Convert 21569.61 centimeters to meters. 215.6961 How many millilitres are there in 64.84872 litres? 64848.72 Convert 649.2601 kilometers to nanometers. 649260100000000 What is twenty-seven halves of a litre in millilitres? 13500 What is 0.2218695 minutes in hours? 0.003697825 How many nanometers are there in 8.858722um? 8858.722 How many days are there in 2/7 of a week? 2 What is three eighths of a milligram in micrograms? 375 What is 3/5 of a kilometer in meters? 600 What is 8.245758ns in minutes? 0.0000000001374293 How many centimeters are there in 1/4 of a meter? 25 What is 248.70375 months in centuries? 0.207253125 How many micrometers are there in 13.89995cm? 138999.5 What is 3/8 of a litre in millilitres? 375 How many kilometers are there in 307.141m? 0.307141 What is seven quarters of a milligram in micrograms? 1750 What is 26/5 of a litre in millilitres? 5200 What is fifty-one quarters of a millennium in years? 12750 What is 21/2 of a meter in millimeters? 10500 What is 977.0546 litres in millilitres? 977054.6 What is eighteen fifths of a meter in centimeters? 360 How many millimeters are there in sixty-one halves of a centimeter? 305 How many years are there in fourty-two fifths of a decade? 84 Convert 248390.94ms to minutes. 4.139849 How many minutes are there in eight fifteenths of a week? 5376 What is twenty-five quarters of a kilogram in grams? 6250 How many months are there in 7/6 of a year? 14 Convert 773.523 decades to centuries. 77.3523 How many nanograms are there in 25/2 of a microgram? 12500 Convert 0.7615295 years to decades. 0.07615295 Convert 2315917.17 nanoseconds to days. 0.000000026804596875 How many millilitres are there in 59/4 of a litre? 14750 Convert 3.112693 millilitres to litres. 0.003112693 What is 3/5 of a centimeter in millimeters? 6 What is 5006571.57 minutes in weeks? 496.6836875 How many milliseconds are there in 11/4 of a second? 2750 What is 53/5 of a gram in milligrams? 10600 What is 11.067675 months in years? 0.92230625 What is 54532.36 grams in kilograms? 54.53236 What is 8.580338 minutes in microseconds? 514820280 What is 510867.3ml in litres? 510.8673 Convert 594.6469 minutes to seconds. 35678.814 How many decades are there in 6/5 of a millennium? 120 How many months are there in one fifth of a decade? 24 What is 6/25 of a litre in millilitres? 240 What is 1/24 of a decade in months? 5 Convert 1.90832 milligrams to nanograms. 1908320 How many minutes are there in thirty-four fifths of a week? 68544 What is seven halves of a kilogram in grams? 3500 What is 7/2 of a meter in millimeters? 3500 What is 90.6411 centuries in months? 108769.32 Convert 0.6596652us to seconds. 0.0000006596652 How many millimeters are there in twenty-one fifths of a centimeter? 42 How many milligrams are there in 10.54058kg? 10540580 How many millimeters are there in 150.5127m? 150512.7 Convert 6570.315l to millilitres. 6570315 What is six fifths of a microgram in nanograms? 1200 How many decades are there in 190.66 years? 19.066 What is seven quarters of a litre in millilitres? 1750 What is 7275248.82ns in weeks? 0.00000001202918125 Convert 7923.367km to meters. 7923367 What is one quarter of a millennium in years? 250 What is 1/20 of a kilometer in meters? 50 What is 664.2503 nanometers in meters? 0.0000006642503 How many microseconds are there in 0.0300964 weeks? 18202302720 What is 5/6 of a decade in months? 100 Convert 0.4824152kg to grams. 482.4152 How many milligrams are there in 956931.9kg? 956931900000 What is 1/5 of a litre in millilitres? 200 Convert 28.553808 months to millennia. 0.002379484 How many centimeters are there in seventeen quarters of a meter? 425 What is 19/4 of a microgram in nanograms? 4750 How many minutes are there in 29/2 of a day? 20880 How many microseconds are there in 0.9544115ns? 0.0009544115 How many millilitres are there in 17/2 of a litre? 8500 What is 42/5 of a kilometer in meters? 8400 Convert 0.8054643g to tonnes. 0.0000008054643 Convert 0.4179098 millimeters to centimeters. 0.04179098 What is 6/25 of a litre in millilitres? 240 How many nanometers are there in 1/4 of a micrometer? 250 What is 725.3712ml in litres? 0.7253712 What is 29/6 of a year in months? 58 What is 8225.809 years in centuries? 82.25809 What is twenty-seven fifths of a gram in milligrams? 5400 How many millennia are there in 9531.296 decades? 95.31296 How many millennia are there in 513.328 centuries? 51.3328 Convert 972427.26 hours to weeks. 5788.2575 How many years are there in 283812.4 millennia? 283812400 How many microseconds are there in 56.97542ms? 56975.42 What is 1/4 of a meter in millimeters? 250 What is 11/10 of a minute in milliseconds? 66000 How many millilitres are there in 13/8 of a litre? 1625 How many millilitres are there in 1/20 of a litre? 50 Convert 87.0824 centuries to millennia. 8.70824 What is 7/3 of a year in months? 28 Convert 0.9051546 months to millennia. 0.00007542955 What is 5418.25 centimeters in millimeters? 54182.5 How many millilitres are there in 33/5 of a litre? 6600 Convert 44160.58 tonnes to milligrams. 44160580000000 How many millimeters are there in sixty-seven fifths of a centimeter? 134 How many years are there in 24689.301 months? 2057.44175 What is 850083.3 milliseconds in nanoseconds? 850083300000 What is 6.527164 milligrams in grams? 0.006527164 What is 995.8522 weeks in days? 6970.9654 What is 205.3084um in millimeters? 0.2053084 What is 3.102875 meters in micrometers? 3102875 What is 20171.868 seconds in minutes? 336.1978 What is 2/15 of a week in minutes? 1344 Convert 0.934914 centimeters to kilometers. 0.00000934914 What is 19/4 of a kilogram in grams? 4750 How many meters are there in 57.68873nm? 0.00000005768873 How many millilitres are there in thirty-seven fifths of a litre? 7400 How many nanograms are there in 32/5 of a microgram? 6400 How many meters are there in 3.09362 centimeters? 0.0309362 How many years are there in fourty-five halves of a millennium? 22500 What is 9.581751 decades in months? 1149.81012 What is one tenth of a millisecond in microseconds? 100 What is 3.083417l in millilitres? 3083.417 How many minutes are there in one fifteenth of a day? 96 What is 948.4383 months in years? 79.036525 How many minutes are there in eleven sevenths of a week? 15840 How many minutes are there in 7/3 of a hour? 140 Convert 69.84108l to millilitres. 69841.08 How many millilitres are there in 175.744l? 175744 What is 87.01599 centimeters in micrometers? 870159.9 How many decades are there in 233.3391 centuries? 2333.391 What is 27/4 of a centimeter in micrometers? 67500 What is 9/10 of a kilogram in grams? 900 How many seconds are there in 5983.597 weeks? 3618879465.6 What is 1/6 of a hour in minutes? 10 How many millilitres are there in 48.26377 litres? 48263.77 What is 5830.85g in nanograms? 5830850000000 What
{ "pile_set_name": "DM Mathematics" }
359 + 171666*g - 37264*g**2 + 8*g**5 - 132*g**4 - 187923 + 6*g**5 + 7*g**5 = 0. 1, 14, 17 Let b(i) = i**2 - 19*i + 64. Let a be b(15). Solve 0 + 23 + 7 - a*y**2 + 4*y - 6 = 0 for y. -2, 3 Solve -z**4 - 19/3*z**3 + 1/3*z**5 + 21*z**2 + 18*z - 72 = 0. -4, -2, 3 Let y(t) be the first derivative of -1/6*t**4 + 44/27*t**3 - 20/9*t**2 - 16/3*t + 56. Determine s so that y(s) = 0. -2/3, 2, 6 Let s(y) = -4*y**4 + 58*y**3 + 48*y**2 - 52*y - 50. Let d(u) = 3*u**4 - 57*u**3 - 48*u**2 + 52*u + 50. Let h(f) = 6*d(f) + 5*s(f). Factor h(q). -2*(q - 1)*(q + 1)**2*(q + 25) Let f(z) = z**3 + 3*z**2 - 5*z - 2. Let s be f(-4). Suppose 0 = 5*c + 100*d - 99*d - 21, 0 = d + 4. Factor 0*j + 5*j**4 + 0 + 0*j**s - 10/3*j**3 - 5/3*j**c. -5*j**3*(j - 2)*(j - 1)/3 Let x = -18 - -41. Suppose 4 = 3*j - x. Factor -5*y**3 + y**4 + 4*y - 8*y**3 + 19*y**3 - j*y**3. y*(y - 2)**2*(y + 1) Let l(a) = -7*a + 15. Let z be l(2). Let q be ((2 - 0) + z)/((-54)/(-8)). Factor -8/9*w - q*w**2 - 4/9. -4*(w + 1)**2/9 Factor 34 - 13/4*u**2 - 25/2*u + 1/2*u**3. (u - 2)*(u + 4)*(2*u - 17)/4 Suppose -20*i - 46 = 554. Let k be (5/i*100)/(-2). What is z in 16/3*z**2 + 4/3*z - k*z**4 + 0 + 5/3*z**3 = 0? -2/5, 0, 1 Let a = 271 + -256. What is d in -46*d**3 - 8*d - 67*d**2 - 14*d**4 + a*d**2 + 12*d**2 = 0? -2, -1, -2/7, 0 Suppose -5*u - 2297 = -3*h, 0 = -4*h - 4*u + 2007 + 1045. Let s = h - 1519/2. Factor 15/2*g**3 + 1/2*g**5 + 0 - s*g**2 + 0*g - 7/2*g**4. g**2*(g - 3)**2*(g - 1)/2 Let h(p) be the third derivative of 11/15*p**5 + 193*p**2 - 4*p**4 + 0 + 0*p - 1/30*p**6 - 24*p**3. Factor h(q). -4*(q - 6)**2*(q + 1) Suppose -k + 12 = -h - 2*h, 3*k + 2*h = -19. Let i be (-33)/33 + k/42*-54. Determine u so that 0 - i*u**3 + 16/7*u**2 + 4/7*u = 0. -1/5, 0, 1 Suppose 5*f = -33*p + 34*p - 5, 4*p = 20. Let q(i) be the third derivative of 3/2*i**3 - 1/20*i**5 + 0 - 1/4*i**4 + 4*i**2 + f*i. Solve q(w) = 0. -3, 1 Suppose 40*p + 10*p = -0*p + 100. Suppose -4*j = -7*j + 6. Find q, given that 2*q**3 - 11*q**p - 10*q - 7*q**j + 14*q**2 + 12 = 0. -2, 1, 3 Let x be (-3040)/(-120)*(-5814)/(-272). Factor 612*l - 216 + 225/2*l**3 + 63/2*l**4 + 3/2*l**5 - x*l**2. 3*(l - 1)**3*(l + 12)**2/2 Let n(m) be the third derivative of 0*m - 170*m**2 - 11/12*m**5 + 0*m**3 - 115/48*m**4 + 1/48*m**6 + 0. Factor n(x). 5*x*(x - 23)*(x + 1)/2 Let h = -856995/2 + 428498. Factor -1/2*d + h - 1/2*d**2 + 1/2*d**3. (d - 1)**2*(d + 1)/2 Let d(g) be the second derivative of g**7/70 + 9*g**6/50 + 9*g**5/20 + 7*g**4/20 - 308*g - 4. Factor d(h). 3*h**2*(h + 1)**2*(h + 7)/5 Let a(g) be the first derivative of 0*g + 1/32*g**4 + 1/60*g**5 - 43 + 3*g**2 - 1/24*g**3. Let h(s) be the second derivative of a(s). Factor h(b). (b + 1)*(4*b - 1)/4 Let m be (1 + 6)/7*(-27)/(-9). Let j(p) be the second derivative of -1/140*p**5 - 1/42*p**4 + 0 + 0*p**2 + 9*p - 1/42*p**m. Factor j(z). -z*(z + 1)**2/7 Find n such that -41*n - 26*n**2 + 5*n**2 - 3*n**2 + 4*n**3 - 384 - 215*n = 0. -4, -2, 12 Let o(y) = 2*y**2 - y. Let j(v) = v**3 - 8*v**2 + 15*v + 1. Let a be j(3). Let c(b) = 6*b**2 - 53*b - 80. Let l(i) = a*c(i) - 5*o(i). Solve l(n) = 0 for n. -10, -2 Let r(l) = -2*l**2 - l + 1. Let w(b) = 122*b**2 - 99*b + 21. Suppose -17*y = 40 + 62. Let g(z) = y*r(z) + 2*w(z). Let g(n) = 0. Calculate n. 3/8 Let w be (-41 + 41)/29*(-1 + (-3)/(-4)). Suppose w*r + 2/7*r**3 + 0 + 2/7*r**2 = 0. What is r? -1, 0 Suppose -5*r = -43*s + 41*s - 12, -r = 4*s + 2. Suppose -984*l + 9248*l**2 - 576*l + 5212*l**r + 39 + 6 - 940*l**2 = 0. What is l? 3/52 Let l(k) be the first derivative of k**6/11 + 64*k**5/55 + 23*k**4/11 + 16*k**3/33 - 9*k**2/11 - 7427. Determine d so that l(d) = 0. -9, -1, 0, 1/3 Let c be ((-4)/(-14) + 1)/((-24)/(-168)). Suppose -22*z - 3*z**2 + 6*z - c*z + 30 - 2*z**2 = 0. What is z? -6, 1 Let a(r) be the second derivative of -3*r**5/100 - 59*r**4/10 - 117*r**3/10 + 54*r - 2. Let a(v) = 0. What is v? -117, -1, 0 Let k(j) be the third derivative of -j**4/8 + 9*j**3 - 38*j**2. Let v be k(6). Determine q so that -12*q**2 + v*q - 53*q + 35*q + 2*q**3 = 0. 0, 3 Suppose 2*c - 3*k + 0 - 11 = 0, -10 = 2*k. Let d be c/(-16)*(4 + -8)*-4. Factor 1/2*h + 0 + 1/4*h**d. h*(h + 2)/4 Let x(y) be the third derivative of 1/1260*y**7 + 0 + 0*y - 1/720*y**6 + 0*y**3 + 0*y**4 + 0*y**5 - 4*y**2. Factor x(q). q**3*(q - 1)/6 Let c(r) be the first derivative of -13*r**4/4 - 41*r**3/2 - 9*r**2 - 154*r + 131. Let i(k) be the first derivative of c(k). Factor i(b). -3*(b + 3)*(13*b + 2) Let y(o) be the first derivative of 0*o**2 + 0*o**4 + 0*o + 1/30*o**5 - 12 - 1/36*o**6 + 7/3*o**3. Let t(x) be the third derivative of y(x). Factor t(l). -2*l*(5*l - 2) Let u(w) be the third derivative of -w**8/1008 + 4*w**7/105 + w**6/180 - 4*w**5/15 - w**4/72 + 4*w**3/3 + 2*w**2 - 116*w. Suppose u(p) = 0. Calculate p. -1, 1, 24 Determine j, given that -1/3*j**4 - 1/3*j**3 + 41/3*j + 20/3 + 7*j**2 = 0. -4, -1, 5 Factor -2467*r + 5*r**2 - 2607*r + 1080*r + 6930 + 519*r. 5*(r - 693)*(r - 2) Factor -20*s**2 + 2*s**2 + 50 - 558*s**3 + s + 557*s**3 - 26*s**2 - 6*s**2. -(s - 1)*(s + 1)*(s + 50) Let p(g) be the first derivative of -81*g**5/25 + 99*g**4/5 - 208*g**3/5 + 168*g**2/5 - 48*g/5 - 344. Determine w so that p(w) = 0. 2/9, 2/3, 2 Determine o so that -11*o**3 - o**2 - 5*o**2 - o**5 + 20*o**3 - 6*o**4 - 20*o**3 = 0. -3, -2, -1, 0 Let d(w) be the second derivative of w**4/24 + 8*w**3 - 49*w**2 - w - 1. Solve d(q) = 0. -98, 2 Let o(c) = 5*c**2 - 38*c + 74. Let j(r) = 15*r**2 - 116*r + 223. Let k be (15 - -2)*(-1 + 0). Let u(l) = k*o(l) + 6*j(l). Factor u(t). 5*(t - 8)*(t - 2) Suppose 0 = 3*c + p + 3*p - 19, p + 9 = 2*c. Suppose c*u**2 + 36 - 31*u**2 - 14*u**3 + 4*u**4 - 6*u**4 - u + 7*u = 0. Calculate u. -3, -2, 1 Factor 148/5*g**2 + 192/5 + 362/5*g - 22/5*g**3. -2*(g + 1)**2*(11*g - 96)/5 Let -344/3*s + 346/3 - 2/3*s**2 = 0. Calculate s. -173, 1 Let b be 1/4 + 750/8 + -4. Suppose -b + 74 = -8*h. Suppose -65*f**5 - 4*f**4 + 52*f**h - 7*f - 28*f**3 + 69*f**5 - 17*f = 0. Calculate f. -3, 0, 1, 2 Let u = 1/90 - -79/990. Let c(i) be the first derivative of -u*i**2 + 7/66*i**6 - 19/55*i**5 + 0*i - 1/33*i**3 - 5 + 15/44*i**4. Factor c(r). r*(r - 1)**3*(7*r + 2)/11 What is l in 336 - 22*l**4 - 12*l**4 + 108*l**3 - 496*l + 92*l**2 + 172*l**5 - 168*l**5 - 10*l**4 = 0? -2, 1, 2, 3, 7 Let w(l) be the second derivative of -26*l**3 - 59/6*l**4 + 0 - 6/5*l**5 + 65*l + 1/15*l**6 - 32*l**2. Factor w(q). 2*(q - 16)*(q + 1)**2*(q + 2) Suppose 2*u + 2*g - 64 = -2*u, u + 5*g = 7. Let u*y + 686*y**2 - 685*y**2 - 3*y - 24 - 4*y = 0. What is y? -12, 2 Let j be 3/(18/30 + (-8)/5). Let k(r) = -2*r**3 + 10*r**2 - 6*r - 22. Let g(o) = 2*o**3 - 9*o**2 + 6*o + 23. Let s(a) = j*k(a) - 2*g(a). Factor s(q). 2*(q - 5)*(q - 2)*(q + 1) Let k(j) be the second derivative of -18/5*j**2 + 3/100*j**5 + 8 - 3/20*j**4 - 8/5*j**3 + 14*j. Factor k(w). 3*(w - 6)*(w + 1)*(w + 2)/5 Let s(y) be the first derivative of 4*y**3/3 - y - 2. Let w be s(-1). Factor 20*x**5 + 36*x**4 + 25*x**w - 20*x**3 - 11*x**4. 5*x**3*(x + 1)*(4*x + 1) Suppose -5*r = 5*p - 5175, 9*r - 1059 = 8*r + 5*p. Let q = -1036 + r. Factor 2/19*y**4 + 6/19*y**q - 2/19*y**2 - 6/19*y + 0. 2*y*(y - 1)*(y + 1)*(y + 3)/19 Determine t so that -132*t**2 + 263*t**5 + 240*t**5 - 539*t**5 - 2100*t**4 + 5912*t**3 + 3484*t**2 - 3892*t + 732 = 0. -61, -1, 1/3, 3 Suppose -4*m + 171 = -w, w = -6*m + m + 207. Let s be (-5)/(30/m) - -7. Solve -x**2 + 0*x + 0 + s*x**3 + 1/4*x**4 = 0 for x. -2, 0, 2 Factor -903/5 + 3/5*x**2 + 180*x. 3*(x - 1)*(x + 301)/5 Factor 0*x + 0 + 2/3*x**3 - 68/3*x**2. 2*x**2*(x - 34)/3 Let q = 34287 - 6205932/181. Let b = q + 649/905. Let 8/5*m**4 + 0*m + b*m**2 - 2*m**3 + 0 - 2/5*m**5 = 0. What is m? 0, 1, 2 Suppose 38*l = 35*l + 213. Let r = l - 68. Factor -3*c**5 - 3*c**r + 3*c**2 - 3*c**4 + 0*c**4 + 6*c**3. -3*c**2*(c - 1)*(c + 1)**2 Let d(a) be the third derivative of -a**7/180 - 19*a**6/360 - 53*a**5/360 + a**4/72 + 2*a**3/3 + 1995*a**2. Find k, given that d(k) = 0. -3, -2, -1, 4/7 Suppose -1339 = -688*d + 37. Factor -40*h - 5/6*h**d - 480. -5*(h + 24)**2/6 Let m(g) be the second derivative of -g**6/10 - 93*g**5/20 + 135*g**4/4 - 173*g**3/2 + 105*g**2 + 11928*g. Factor m(h). -3*(h - 2)*(h - 1)**2*(h + 35) Let x be (2 + -2)/((-25)/90*-18). Let j(l) be the first derivative of 25/4*l**4
{ "pile_set_name": "DM Mathematics" }
*k + 1303 = -1502. Suppose 5*v = -2*n + 270, 113 = 5*n - 4*v - l. Is 20 a factor of n? False Is (-22)/(88/(-6))*((-2)/(-2) + 275) a multiple of 9? True Let y(g) = 224*g**2 - 16*g - 24. Suppose 41 - 21 = -10*b. Does 8 divide y(b)? True Let o be 2/((-14)/105*6/(-4)). Suppose o*r + 105 = -95. Let b = r - -150. Is b a multiple of 20? False Let v = 3 + 2. Let u(x) = -5 - 8*x**2 - 11*x + 13*x + 13*x**2. Is u(v) a multiple of 23? False Let y(p) = p**2 + 12*p + 4. Let d = 17 - 29. Let f be y(d). Suppose -3*i + 8*i - f*n = 185, -i + 56 = 3*n. Does 12 divide i? False Let q = -26422 + 38266. Does 9 divide q? True Let k(m) = -4*m**2 - 20*m - 24. Let h(t) = -4*t**2 - 20*t - 27. Let n(r) = 2*h(r) - 3*k(r). Does 5 divide n(-7)? False Let a(q) = 17*q + 10. Suppose -2*g + 4 = 0, -9*z + 5*z + 10 = g. Is a(z) a multiple of 4? True Let q be (-3)/(-1)*(-4)/6 + 5. Suppose -3*k + 15 = -q*s, 2*s + 3*k - 16 = -1. Does 38 divide (-3790)/(-25) + (2/5 - s)? True Let q be 0/((2 - 1)*7). Suppose q = s, -2*g - 35*s + 33*s = -1196. Is g a multiple of 65? False Suppose 9*g + 48 = 1047. Suppose -259 = -2*p + g. Does 3 divide p? False Does 16 divide (837/(-7) + (-16)/(-28))/((-7)/42)? False Suppose 6680 = o + 3*h - 4626, -22602 = -2*o - h. Is o a multiple of 100? True Suppose -2*i - 3*f + 7*f - 104 = 0, 3*f - 15 = 0. Let m = 98 - i. Is m a multiple of 35? True Let q = 6766 - 1528. Is 12 a factor of q? False Let a = 272 - 107. Suppose 38*i + 15 = 41*i. Suppose i*y + a = 3*s, y + 0*y = 3. Is 5 a factor of s? True Suppose 24927 + 40122 - 2049 = 15*c. Does 25 divide c? True Let q = -1499 + 8523. Does 53 divide q? False Suppose 2*m = -2*o + 4822, 564*o = 561*o + m + 7249. Is 27 a factor of o? False Suppose 346 = -3*t + 5*c - 10*c, 10 = -5*c. Let u = -296 + 127. Let j = t - u. Is j a multiple of 35? False Let a = 8572 + -6396. Does 16 divide a? True Suppose -45*g + 49*g + 90 = 3*k, 0 = 3*k + g - 90. Does 5 divide k? True Is 28 a factor of 25/(-25)*(-9 - 5087)? True Suppose -5*z + 3*p = -19418, 0 = 4*z - 12*p + 11*p - 15540. Is z/8 + ((-144)/(-12))/48 a multiple of 42? False Suppose -1091 = -3*b - 5*n, -132*b - 2*n = -127*b - 1793. Suppose 14 = g - b. Is 9 a factor of g? False Let g be ((-54)/(-4))/(6/32). Does 8 divide (g - 0)/((-5)/(-90))? True Let u(c) = -8*c - 1836. Let g be u(0). Does 6 divide g/(-6) - (-4 + 4)? True Suppose 96*h - 66372 = 92*h - 2*a, -h + 3*a + 16614 = 0. Is h a multiple of 88? False Suppose 11*i = 14*i + 6, -2*w + 11988 = 4*i. Is 146 a factor of w? False Let l(v) = 144*v**2 - 93*v + 1073. Is 24 a factor of l(9)? False Suppose p - 546 = 2*q - 5*q, -4*p = 3*q - 2229. Let i be (95193/(-28))/(-9) + 35/28. Suppose -5*k = 2*l - i, 3*l - p = -5*k - 0*k. Is l a multiple of 13? True Suppose 27 + 38 = 13*r. Suppose f + 14 = r*l, -1 = -2*l - 0*f + 5*f. Suppose 124 = l*m + 2*x, 0*m - 2*m - 3*x + 76 = 0. Does 11 divide m? True Suppose 2*n + 136 = -2*n. Suppose 499*x - 500*x + 11 = 0. Does 3 divide 6/(-10)*(n - x)? True Let g(v) = -5*v - 8*v**3 + 5*v**2 + 3*v**3 - 3 - 16*v**2 + 4*v**3. Let s be g(-13). Let l = s + -205. Does 39 divide l? True Let c(b) = b**2 + 14*b - 46. Let q be c(-17). Suppose 0 = q*g - 5*x - 25, 4 = 3*g + 2*g + 2*x. Suppose 120 = g*s - 128. Does 14 divide s? False Suppose -c = 3*y + 768, -4*y - 5*c - 1105 = -92. Let f = 387 + y. Suppose 0 = 3*l - l - 3*v - 87, -3*l + 5*v = -f. Is l a multiple of 8? False Let f(r) = 2*r**2 - 49*r + 6066. Is 33 a factor of f(0)? False Suppose 3*u = -3*i + 96156, 123*u - i - 416704 = 110*u. Is u a multiple of 12? False Let s = -47 - 89. Let r = s + 91. Is (-96)/40*r/2 a multiple of 21? False Suppose -8*y + 24*y - 304 = 0. Suppose -5*d - 5250 = -y*d. Does 25 divide d? True Suppose 628 = 48*u - 52*u. Let b = 183 + u. Is b a multiple of 3? False Suppose -2*q - 2*w + 44 = 0, q - 4*w - 24 = -6*w. Suppose 0*y = 2*y - 4*x + q, 2*x = 3*y + 10. Suppose y = -5*g + 6*g - 178. Is g a multiple of 15? False Suppose -53*w + 292346 + 2043470 = 0. Is 14 a factor of w? True Suppose 5*s + 3*g = 20790, s + 3*g - g = 4158. Does 30 divide s? False Let b = -2 + 8. Let p(d) be the second derivative of d**5/20 - 5*d**4/12 + 5*d**2 - 2*d - 31. Does 10 divide p(b)? False Let n be -2 + 1 - (7 - 12). Suppose -n*f + 2*m + 1730 = -0*f, 4*m = -4*f + 1712. Is 22 a factor of f? False Suppose -7*a - 6*a = -39. Suppose -12 = -a*h + 39. Suppose 0 = h*z - 22*z + 350. Is z a multiple of 14? True Suppose 2*c - 4*c - 22 = 4*k, k - 4*c - 17 = 0. Let d be 4 + (3*-136)/k. Suppose 53 = -3*a + d. Is 29 a factor of a? True Let b = 1405 + 2462. Is b a multiple of 3? True Suppose 0 = 9*n - 13*n + 12. Suppose 2*x + 5*z = 33, 3*x + n*z - 17 = 2*z. Suppose -x*g + 40 = -100. Is g a multiple of 16? False Let o be 9 - (1 + -1 - (0 - 3)). Let z(k) = -4*k + 23. Let r be z(o). Is (-15)/(-5) - -176 - 3*r a multiple of 14? True Let b = -43 - -45. Suppose -q + 0*q = -x + 14, 3*x = b*q + 32. Let r = 64 + q. Is 18 a factor of r? True Let j(y) = -20*y - 167. Let u be j(-21). Let c = -101 + u. Does 7 divide c? False Let b = -58 + 98. Suppose s = -4*t - 3*s + b, 0 = -2*t + 4*s - 10. Let n(u) = 9*u + 16. Is n(t) a multiple of 5? False Let h = -507 - -501. Is (-2637)/(-18) - (-15)/h a multiple of 6? True Let a = -30249 - -34682. Is 6 a factor of a? False Let d be (196/3)/(29/(-261)). Let i = d + 615. Is i a multiple of 11? False Suppose -24*b + 187685 = -525043. Is 189 a factor of b? False Suppose -t = -138 + 137. Does 67 divide 938 - 1/(-3)*(t - 1)? True Let u be 7 + -1 + (-9)/3. Suppose 9*n - u*n = 1080. Is 45 a factor of n? True Let g(h) = 56*h - 48. Let q(l) = 140*l - 120. Let v(p) = 12*g(p) - 5*q(p). Does 12 divide v(-3)? True Let u(h) = -2*h + 9 - 14 - 13 - 12. Let s be u(-15). Does 24 divide s + (-6 + 3 - -106)? False Suppose -2*o - v + 19 = 0, -2*o = -5*v - 0*v - 49. Suppose -4*g = 2*h + 16 - 120, 5*h - 2*g - 272 = 0. Suppose -o*p + 13*p - h = 0. Is p a multiple of 8? False Suppose 69 + 1 = 5*z + 4*p, -5*p + 25 = 0. Suppose -z*a + 2*a = 0. Suppose a = -3*d + d + 220. Is d a multiple of 20? False Suppose -5*r - 6 = -8*r. Suppose u - 1 = r*p - 4, 24 = 5*u + 3*p. Let o(q) = 3*q**2 - 1. Is 6 a factor of o(u)? False Suppose -2*g - 2*j - 9 = -15, -5*j = -4*g + 30. Suppose g*o - 483 = -38. Is o a multiple of 2? False Suppose -58*h + 230108 - 56050 = 0. Is 78 a factor of h? False Suppose -10 = 3*c - 5*r, -5*r + 2*r + 35 = 4*c. Suppose 0*q - c*q + 20 = 0, -5*o + 3124 = q. Is o a multiple of 39? True Suppose 0 = -5*h + 15. Suppose 0 = -h*c + 4*c - 206. Is c a multiple of 11? False Suppose -4*c = -9*c + 5*b + 165, 2*c - 3*b - 68 = 0. Let u be 1 + (-40)/(-1 + 0). Let i = u - c. Does 5 divide i? True Let y(z) = -23*z + 2 + 11*z + 59*z**3 - z**2 + 12*z. Is y(1) a multiple of 5? True Let s(d) be the second derivative of 31/3*d**3 + 2*d**2 + 18*d + 0. Is s(1) a multiple of 22? True Let d = -5 + 6. Suppose 10*y - 37 = -5*a + 11*y, 5*y - 11 = -3*a. Is (a - 5 - d)/(2/332) a multiple of 22? False Suppose 5*u - 4*i = 545, -436 = 7*u - 11*u - 5*i. Let t = 563 + u. Does 14 divide t? True Suppose 231 = 4*i + 271. Is 7 a factor of (-98)/(-4)*(i - -12)? True Suppose -39*x + 5547 = -51*x + 16983. Does 5 divide x? False Let a be (-1)/((-5)/1523) + (-543)/905. Let y = -280 + a. Does 3 divide y? True Suppose 6*k - 248 + 44 = 0. Let g = k + -20. Let h = g - -7. Is h a multiple of 7? True Suppose 0 = 31*k - 188526 - 159366 + 32157. Is 105 a factor of k? True Suppose 2*r = -2*w - 6, 4*w + w - 33 = 3*r. Does 11 divide 252 + (r - -4)/(-2)? True Suppose 0 = -30*c + 668342 + 887200 - 504702. Is c a multiple of 126? True Let r = 132 - -352. Suppose 10*j - 25 = 5*j. Suppose 166 = -3*y - j*z + 890, -2*y + r = 3*z. Is 47 a factor of y? False Suppose -2385 = -2*i - 5*h, -2*i - 3*h + 2420 = -5*h. Is i a multiple of 75? False Let m(g) = -54*g**2 + 24*g**2 + 6 + 24*g**2 - 2*g**3 + g. Let i be m(-3). Does 26 divide (i - 8) + 7 + 62 + 1? False Let k = 49207 + -30862. Is 8 a factor of k? False Let d(y) = 2*y**3 + 31*y**2 - 18*y - 24. Let m be d(-14). Let r = -564 + m. Is r a multiple of 28? True Let c = -126 - -114. Let s be (-93)/(-18) + 2/c. Suppose 4*k = -5*u + 4*u + 231, -293 = -s*k + 3*u. Does 29 divide k? True Suppose -3*a = -4*j - 718, 2*a - 288 = -3*j + 219. Suppose a = 3*n - 225. Let b = 220 - n. Does 12 divide b? Fa
{ "pile_set_name": "DM Mathematics" }
- d - 4*t. Suppose -n = 4*n - d. Suppose b = -3*q + n, -3*q - b + 269 = b. Is 10 a factor of q? False Suppose -q = 2*b - 49, -5*b + 2*b + 70 = 5*q. Let u(f) = 3*f**2 - f - 44. Does 14 divide u(b)? True Suppose -35*n + 40*n = 190. Let x = -2 + -1. Is 11 a factor of x/1*n/(-6)? False Let x = -2 - 17. Is (-1375)/(-35) - (3 + x/7) a multiple of 12? False Suppose -9*j + 475 - 7486 = -28*j. Is j even? False Suppose -25765 = -6*f - 1945. Is 2/((f/495 - 4) + -4) a multiple of 4? False Let c(f) = -f**2 - 3*f - 1. Let t be c(-3). Let p(y) = -69*y**2 - 14*y + 1. Let n(k) = 71*k**2 + 12*k - 1. Let u(w) = 7*n(w) + 6*p(w). Is 15 a factor of u(t)? False Let h(f) = f + 21. Let i = -48 + 143. Suppose -6*z = -11*z + i. Is 13 a factor of h(z)? False Is 26 a factor of 25428/10*255/153? True Let c = 11 + -8. Let v(z) = -z**3 + 8*z - 3. Let k be v(c). Let q = 56 + k. Is 11 a factor of q? False Let j(t) = 237*t**3 + 15*t**2 - 13*t - 29. Is j(4) a multiple of 62? False Suppose 0 = 4*q - q - 351. Suppose -19*y + 207 = -22*y. Let b = y + q. Does 24 divide b? True Let s(h) = 2*h**3 - 38*h**2 + 103*h - 94. Does 20 divide s(18)? False Suppose 3*j + 2*y = 17985, j - 4343 - 1652 = -2*y. Is 160 a factor of j? False Let n be ((0 - (3 + -2)) + 2)*719. Let h = 1643 - n. Does 12 divide h? True Let i(n) = -n**3 - n**2 - 5*n - 7. Let j be i(-2). Is -7*(j/(-21))/(1/66) a multiple of 12? False Let j = -1420 - -1426. Suppose -r + 6*r = 20. Is 4/j*r/8*390 a multiple of 18? False Suppose d - 4*a + 13 = 0, -4*a + 0 + 28 = 4*d. Suppose d*x - 4*o - 10 = -2*o, -23 = -5*x - 3*o. Suppose x*n + 12 = 0, 0*c + 315 = 2*c - n. Is 26 a factor of c? True Suppose -281094 - 198642 = -54*m. Is m a multiple of 99? False Suppose w = 5, -w + 2611 = 1508*g - 1507*g. Is g a multiple of 4? False Suppose -4*p = j + 12, -4*p - 12 = -4. Let o(l) = -2*l**3 - 4*l**2 - 4. Let h be o(j). Is 9 a factor of 96/h*(0 - -20)? False Suppose -10*r = 4*r + 238. Let b = r + 27. Does 7 divide b? False Let l(u) = -166*u + 56. Let w(p) = -250*p + 90. Let c(j) = -8*l(j) + 5*w(j). Let o = 5 + -4. Is 16 a factor of c(o)? True Suppose -4*i - 20 = -0*i, 423 = 2*q - i. Suppose -q = -2*k - 3*y, -170 = -k - 4*y - 63. Is 6 a factor of k? False Suppose -7*t - i = -2*t - 145, 0 = 3*t - i - 95. Suppose 3*d + 8 = f + t, 4 = 2*d + 2*f. Suppose -d*c = -9 - 3. Is 2 a factor of c? True Let j(u) = -u**2 - 4*u + 10. Let m be j(-5). Suppose -3*h + y = -2*y - 12, -m*h + y = 0. Is h + (1 - -3) - -99 a multiple of 11? False Suppose -2*a = d - 13, -5 = -4*a + 4*d - 9. Let n(p) = -2*p**2 - 6*p - 39. Let y(c) = c + 1. Let s(w) = a*y(w) - n(w). Is s(-6) a multiple of 11? True Let y(a) = 15*a + 15*a + 26 - 33*a. Let w be y(9). Does 36 divide (-300)/5*(1/(-5) + w)? True Suppose -3*r - 63 = -5*u + 31, -3*u + 66 = -5*r. Suppose u*d = -2*d + 21812. Does 15 divide d? False Suppose -u - 2*u + 1152 = 0. Suppose 192 = j + 2*p, 2*j = 4*j + p - u. Does 13 divide j? False Let x(g) = 288*g**2 + 19*g + 2. Is 39 a factor of x(3)? False Suppose -4*y = -v + 7167 - 2611, 0 = -v + 5*y + 4557. Is 41 a factor of v? False Suppose p + 32 = 5*w, 7*w - 4*w - 30 = p. Let q be (-2)/(0 - (-6)/p). Suppose 169 = q*v - 110. Does 31 divide v? True Suppose -3*x - 2260 = -3*r - 4*x, -2*r + 4*x + 1530 = 0. Let d = r + -455. Is 10 a factor of d? True Suppose 55 = -13*o + 523. Suppose 26*f = 23*f - o. Let a = 44 - f. Is a a multiple of 14? True Suppose 0 = -2*j - 4 + 14. Suppose -2*z - 10 = -0*z, -5*o + j*z = -1915. Is 30/80 - o/(-16) a multiple of 6? True Suppose -19*z + 49020 = -93252. Does 78 divide z? True Let u(p) = -2*p**3 - 70*p**2 + 21*p - 17. Let l(v) = -v**2 - v. Let k(d) = 4*l(d) - u(d). Does 33 divide k(-33)? False Is 138 - -1 - (3 + (-55)/(-11) + -9) a multiple of 70? True Let a = 261 - -1050. Suppose -26*w + a = -23*w. Does 23 divide w? True Suppose -7943*i + 7921*i + 42944 = 0. Does 16 divide i? True Let q(y) = y**2 - 4*y - 14. Let m(z) = -2 - z + 6 - 7. Let g be m(-10). Is q(g) a multiple of 3? False Let d(h) = 3*h - 9. Let o be d(3). Suppose o = x - 3*x + 70. Suppose -215 - x = -5*v. Is 5 a factor of v? True Suppose 5*m - 2*c + 5*c - 20 = 0, -2*m - 5*c = 11. Suppose -374 = -k - u, -4*u + 753 = 2*k - m*u. Does 15 divide k? True Let h(a) = -2*a**2 - 22*a - 46. Let j be h(-8). Suppose j*s - 16*s + 2940 = 0. Does 56 divide s? False Let f(a) = 103*a + 3720. Is 16 a factor of f(-29)? False Suppose -4*z - u + 662 = 0, z + 4*z - 3*u = 819. Suppose 4*v + t = -z, 3*t + 187 - 28 = -4*v. Let m = 66 + v. Is m a multiple of 24? True Let f = 207 + -369. Let c = 199 + f. Is c a multiple of 3? False Let k be -1 - 2/(-6) - 5064/(-36). Is 12 a factor of (-2)/(((-8)/k)/((-180)/(-35)))? True Let k(i) = i**3 - 67*i**2 + 144*i + 41. Does 18 divide k(65)? False Is 20 a factor of -12 - 4664*3/(-6)? True Let l(q) = -13*q + 145. Is l(-26) a multiple of 4? False Suppose -2*z - t = 17 + 1, 38 = -4*z - 3*t. Does 20 divide 3 + z/((-48)/1638)? False Suppose -c + 2*c = 1. Let r(o) = 2*o - 122. Let a be r(63). Is 2 a factor of (-4 - (c - 1))*-1*a? True Suppose 44 = -98*f + 87*f. Does 17 divide ((-2)/f)/((-12)/(-24))*395? False Let q = -361 + 3177. Is q a multiple of 88? True Suppose -31*o = -50450 + 33431. Does 17 divide o? False Does 23 divide ((-2)/(-3))/(((-35)/(-4200))/(4554/15))? True Let j(p) = -36*p**3 + 4*p**2 - 9*p + 5. Let i be j(5). Does 37 divide ((-2 - 7)/(-1))/((-90)/i)? True Let z be (1608 - (-1 + -2))/(2/2). Suppose 0 = g + m - 949 - z, -g = -5*m - 2554. Is (-6)/(-27) + g/27 a multiple of 24? False Suppose 90*y = 66*y - 79*y + 684126. Is y a multiple of 19? False Let q(i) = 27*i**3 + i. Let s be q(1). Let c = 1346 + -1345. Is c/(-3) + s/(-12)*-4 a multiple of 9? True Suppose 6*b + 7 = 7. Suppose 0 = -5*c - 5*o + 75, 2*c + o - 54 + 19 = b. Suppose c*j - 732 = 17*j. Is j a multiple of 13? False Suppose 7*x = -13*x - 100. Is (-30)/(-9)*(-249)/x - 0 a multiple of 4? False Let i = 53 + -53. Suppose h - 134 + 9 = i. Let c = -75 + h. Does 25 divide c? True Let g be -4 - (1 + 2 - 11). Suppose -3*r + a = -g*a - 1396, 0 = r - 4*a - 470. Does 33 divide r? True Suppose 1128 = 2*u + 380. Let o = u + -242. Is 22 a factor of o? True Let l be (88/66)/(1/((-18)/(-4))). Suppose -b - 3*o - l = 0, -3*b + 4*o + 18 = -b. Suppose -4*i - v = -95, -b*i + 0*i = -3*v - 75. Is 3 a factor of i? True Let v(m) = 822*m**3 - 2*m**2 + 3*m. Let a be v(1). Suppose 67 = 2*c - a. Suppose -c = -3*s + 5*x, s - x - 461 = -2*s. Does 33 divide s? False Let m = 3925 + -1924. Is 29 a factor of m? True Let x = -183 + 173. Is (-7132)/(-22) + ((-120)/(-66))/x a multiple of 9? True Let h(o) = o**2 + 18*o - 101. Let p be h(-23). Suppose 4*t - 2166 = 2*u, p*t = 12*t - 5*u + 1053. Is 29 a factor of t? False Let h(x) = -63*x**2 + 3. Let s(a) = 20*a**2 - 83*a**2 + 30*a + 4 - 29*a. Let z(u) = -6*h(u) + 5*s(u). Does 10 divide z(-1)? True Suppose -55*p + 54*p = 4*a - 48804, 3*a - 36658 = 13*p. Is 20 a factor of a? False Let j(o) = -o**3 - 4*o**2 + 4*o + 2. Let x be j(-4). Does 7 divide (62/(-14) - -4) + (-2260)/x? True Let h = -12 - -14. Suppose -3*o + 4*o + 2*f = 12, 28 = 3*o + h*f. Let d(v) = 2*v - 5. Does 2 divide d(o)? False Let q(b) = -13*b + 171. Let n be q(13). Suppose -n*x = -7*x - 3*t + 2613, 2*x - 1039 = 5*t. Does 18 divide x? True Suppose -j - 44 = 4*z, 5*j + 13 = -7. Let q(a) = a**2 + 7*a - 554 + 182 - 4*a + 179 + 178. Is q(z) a multiple of 11? True Suppose 0 = 2*x - 5*t + 409 - 1176, 0 = -x - 2*t + 379. Is x a multiple of 6? False Let s be -4 - 471/15 - 8/(-20). Is 33 a factor of 6/5*s/(-49)*77? True Suppose -n - 32529 = -4*l, 5514 + 2641 = l + 3*n. Does 83 divide l? True Let u = 121 - 117. Let o be (-2)/u + 695/10. Let q = 38 + o. Does 12 divide q? False Suppose -4*i + 7*i - 5*v = 14169, 3*i = -3*v + 14121. Does 13 divide i? False Let v = -5044 - -39994. Is 150 a factor of v? True Let p be (6*(-105)/10)/(-1). Let r be (9/(p/595))/(1/5). Suppose -r = 6*j - 1595. Is j a multiple of 15? True Let z = -30 + 20. Let s be 776/9 + z/45. Let y = s - 72. Does 2 divide y? True Let d(o) = o**3 + o - 6. Let a be d(3). Let v = 58 - a. Suppose v*p + 195 = 37*p. Does 13 divide p? True Is (-100)/((-36)/(-9))*-2 even? True Let v be 2/15 + (-13)/30*-32. Suppose b - v = -6*b. Suppose -406 = -0*w - b*w. Does 36 divide w? False Let g = -100 + 112.
{ "pile_set_name": "DM Mathematics" }
-0.5*-9979.299 4989.6495 -0.114*-7.22456 0.82359984 -2*-36607.36 73214.72 Work out -1738069 * -0.5. 869034.5 -20*5.10405 -102.081 -20 times -1.417341 28.34682 -1113 times -9255 10300815 Multiply -400 and -908566. 363426400 Calculate -13.29*-0.21842. 2.9028018 What is -531590 times -0.09? 47843.1 Work out -0.33 * 3044734. -1004762.22 Product of -20.38 and -0.04307. 0.8777666 What is -36 times -19354.8? 696772.8 Calculate -7503751*3. -22511253 What is -0.2 times -5028? 1005.6 What is -131.5 times -102.3? 13452.45 181*-2746800 -497170800 Work out 2141.3 * 424. 907911.2 Product of 0.2 and -15399.24. -3079.848 Product of -2.315332 and 4. -9.261328 Work out -990751.8 * -0.2. 198150.36 What is -55716 times 11? -612876 8*5.798932 46.391456 Product of 1 and -1372360. -1372360 What is 32286598 times 0.5? 16143299 -121696.4 times 5.2 -632821.28 Work out 0.3 * 3136625. 940987.5 5 * 95212.417 476062.085 What is the product of 0.010814 and 78? 0.843492 What is -2942 times -0.06942? 204.23364 What is -464 times -28285? 13124240 0.22 * 0.1975704 0.043465488 Work out -12249 * 60.24. -737879.76 0.2*-0.077814081 -0.0155628162 Calculate 0.06*835.5658. 50.133948 Product of -2.1953 and -0.0045. 0.00987885 234981 times 0.9 211482.9 0.071192 * 843 60.014856 Calculate 9.9*-3.541. -35.0559 What is the product of -85.66359 and -18.6? 1593.342774 Calculate -31580*-30.8. 972664 10499 * 22.52 236437.48 -0.717194*-0.1 0.0717194 Multiply -1377 and -51.26. 70585.02 Calculate -0.2*659.86822. -131.973644 Multiply 0.2928 and -1258. -368.3424 What is 1274 times -0.21749? -277.08226 -1306*-0.05838 76.24428 Calculate 0.06*-0.4451537. -0.026709222 Calculate -0.4*-2036030.1. 814412.04 Calculate -616*-0.5805. 357.588 -47*186943 -8786321 What is 6894 times 3.84? 26472.96 23721 times -125 -2965125 Multiply -3.18 and -7315. 23261.7 Work out -1990 * 4218. -8393820 What is -0.4 times -10300837? 4120334.8 What is the product of -4696 and 18.67? -87674.32 What is 2345838 times 4? 9383352 Product of -1347.807 and 0.05. -67.39035 1790.18393 * -0.5 -895.091965 -0.3*-57.78322 17.334966 What is -0.523 times -21075? 11022.225 Calculate -4174329*2. -8348658 Multiply -0.06253412 and 1. -0.06253412 Work out 0.0366 * -2118. -77.5188 Product of -0.4 and -21887739.2. 8755095.68 Multiply -15.41 and 107792. -1661074.72 -9772646 * 0.4 -3909058.4 What is 35923928 times 0.3? 10777178.4 Calculate 11.6105*-0.01936. -0.22477928 What is 0.1 times -416.7746? -41.67746 What is -22.55 times -2.7? 60.885 -3869 * 9.06 -35053.14 Product of -0.03105399 and -5. 0.15526995 -0.2 * 0.3295319 -0.06590638 Product of -5 and -314990. 1574950 Multiply -23 and 3135.53. -72117.19 -110295 * -6.158 679196.61 882.9606 times -0.4 -353.18424 -0.0505 times -8.20139 0.414170195 What is -456 times -13913? 6344328 -0.7806*-2.49 1.943694 -11.45 times -307401 3519741.45 2 * 0.570914 1.141828 Calculate -0.51*-0.764462. 0.38987562 Product of 1835396 and 7.5. 13765470 Product of -17.104 and 1411. -24133.744 -472851 times 34 -16076934 -391349*-108 42265692 -1065 times 0.2299 -244.8435 Multiply 1 and 0.32976331. 0.32976331 Work out -0.0026 * 786189. -2044.0914 0.544 times -496.7 -270.2048 Product of -1.22 and 315678.5. -385127.77 Calculate 25.4*-1.733. -44.0182 Calculate 0.03725135*-13. -0.48426755 112584.2*6.9 776830.98 Product of -2.206454 and -6. 13.238724 What is -1778.1 times 16679? -29656929.9 -0.561871 times 0.027 -0.015170517 19 times -0.045422 -0.863018 -0.34597 times 0.46 -0.1591462 Product of 0.370024 and -17. -6.290408 -2129288 * 0.1 -212928.8 -1.1 * -25168679 27685546.9 What is the product of 0.1 and -2.605663? -0.2605663 Product of -6.3 and 9342381. -58857000.3 Calculate -19*96.238. -1828.522 Product of 6 and 279.258. 1675.548 -1179413.32*-0.1 117941.332 Product of -821 and 9280. -7618880 Multiply 0.047 and 0.2786. 0.0130942 What is the product of -400 and -268.96? 107584 Multiply -361890.053 and 0.3. -108567.0159 1792*-0.35422 -634.76224 Calculate -19776.56*-0.05. 988.828 What is 16.82 times -6269? -105444.58 What is the product of 0.5 and -861542? -430771 -0.6379442*-3 1.9138326 Product of -3328152 and 39. -129797928 Product of -0.9 and 459419. -413477.1 -22.22*2169 -48195.18 Product of 3571770 and 5. 17858850 Work out 1909.45 * -455. -868799.75 Work out 2.7245803 * 0.25. 0.681145075 Calculate 0.007*-213265. -1492.855 What is the product of -10.90261 and -0.15? 1.6353915 -23016.769 * 0.2 -4603.3538 What is -5.5444351 times 0.5? -2.77221755 -188.78893 * -0.3 56.636679 Multiply -1.6545352 and -0.3. 0.49636056 1158*1733.34 2007207.72 Product of 25 and 73157.3. 1828932.5 Multiply -6656 and 41253. -274579968 What is 35345578 times 4? 141382312 -0.0376*0.44183 -0.016612808 105 times 0.09308 9.7734 What is the product of 2 and -52861967? -105723934 10452 * 664.2 6942218.4 Multiply -162258 and 0.0661. -10725.2538 4.154 times -4757 -19760.578 What is the product of 2 and 5936.374? 11872.748 Work out -1.7935 * -861. 1544.2035 Product of -0.01 and 7099.2. -70.992 Multiply -4 and -7138439. 28553756 Work out 66553 * -0.2533. -16857.8749 Calculate 2845.11277*5. 14225.56385 Work out 6652312 * 111. 738406632 -0.0205 * 85875 -1760.4375 What is 8.3 times -3882.3? -32223.09 What is the product of 0.8602 and 1.707? 1.4683614 -516.09846 * 0.4 -206.439384 What is the product of 69 and -352.34? -24311.46 What is the product of -48036 and -37? 1777332 Multiply 0.2 and -1506109. -301221.8 -2 times -1737302 3474604 Work out -151743929 * -3. 455231787 Product of -3 and 278936.9. -836810.7 Product of -0.2457 and 628. -154.2996 620.9016 * -2 -1241.8032 Multiply -0.87407 and -9. 7.86663 Calculate -2531448*0.4. -1012579.2 Work out 2 * 0.06749624. 0.13499248 0.9 * 1155.88251 1040.294259 7.81 * 248 1936.88 What is the product of 5 and -937660? -4688300 Product of 871657 and -0.501. -436700.157 What is 0.320765 times 1.99? 0.63832235 What is -3028325 times -22? 66623150 What is the product of 68 and -184.092? -12518.256 4 * -5986.289 -23945.156 Work out 3 * 804607. 2413821 Calculate 20047634*-0.5. -10023817 Work out -3 * 22211843. -66635529 Multiply -7468597 and -5. 37342985 Work out 182 * -263579. -47971378 12 times 5876392 70516704 0.2 times -3462436 -692487.2 Work out 6.0935869 * -0.6. -3.65615214 What is -76 times 3372979? -256346404 Work out -5156 * -1.3191. 6801.2796 1.3 times 21608 28090.4 Work out 102430 * 35. 3585050 Multiply -61844608 and -2. 123689216 2275*-74.7729 -170108.3475 Calculate 16365.2*9.9. 162015.48 Multiply 19 and -941373. -17886087 Product of -1101.95 and 89. -98073.55 863651*0.34 293641.34 Work out -6.4 * 5729298. -36667507.2 Calculate -3664600*-6. 21987600 Multiply 0.172384 and 1.61. 0.27753824 What is the product of 762.8 and -75? -57210 -3023938 times 144 -435447072 Work out -757 * -100281. 75912717 Work out 1.42704 * -16. -22.83264 -794 times -7133 5663602 What is the product of 266374 and 6.47? 1723439.78 2946573 * -0.2 -589314.6 -24*4282873 -102788952 What is 217 times 400005? 86801085 9012622 * -0.06 -540757.32 -1008775 * 5 -5043875 4 * 176671 706684 Product of -29 and 70372. -2040788 41076.32 * 1.9 78045.008 What is -19161 times 4071? -78004431 -54*13414.2 -724366.8 -24961 times 0.015 -374.415 What is 0.23 times 343921? 79101.83 Work out -12357639 * -3. 37072917 What is -1.3533167 times 0.23? -0.311262841 What is the product of 30315388 and 12? 363784656 Product of -0.37 and 1394706. -516041.22 Calculate 30224298*-3. -90672894 -0.61047 * -802 489.59694 Multiply -813884 and -0.02. 16277.68 Calculate -1.6692109*0.3. -0.50076327 -251262*-10.3 2587998.6 Calculate -552.9*83984. -46434753.6 What is the product of -12376543.5 and -2? 24753087 Calculate 233731.4*-1. -233731.4 Product of -0.1 and -31395389. 3139538.9 What is -1.2502339 times -0.3? 0.37507017 -17600659 * 2 -35201318 Multiply 1 and 2612372. 2612372 2 times 17682098 35364196 What is 43451 times 0.3682? 15998.6582 Work out -1460076 * -1. 1460076 What is the product of 30885 and -0.1453? -4487.5905 0.03*141.45419 4.2436257 Work out 3139 * 390. 1224210 What is the product of 0.2 and -12161144? -2432228.8 -0.067 * -3181.534 213.162778 Work out -277786 * 0.0546. -15167.1156 87.42126 times 30 2622.6378 Work out 210.36184 * -0.025. -5.259046 Calculate 0.7*-37.778727. -26.44510
{ "pile_set_name": "DM Mathematics" }
21*a - 987. -3*(a - 47)*(a - 7)*(a + 7)/7 Suppose v**5/3 + 91*v**4 + 19624*v**3/3 + 138184*v**2 - 474800*v/3 - 290000 = 0. What is v? -174, -50, -1, 2 Let 4*q**2 - 1512*q + 10388 = 0. Calculate q. 7, 371 Factor 3*p**2 + 550764*p + 1101516. 3*(p + 2)*(p + 183586) Factor 3*v**2/5 - 3942078*v/5 + 1294998246507/5. 3*(v - 657013)**2/5 Factor p**2/4 + 239*p/4 - 241/2. (p - 2)*(p + 241)/4 Let 2*m**5/13 - 74*m**4/13 + 636*m**3/13 - 748*m**2/13 - 3710*m/13 - 2250/13 = 0. What is m? -1, 5, 9, 25 Factor x**4/3 + 166*x**3/3 - 353*x**2 - 1548*x. x*(x - 9)*(x + 3)*(x + 172)/3 Suppose 6*b**3/11 + 234*b**2/11 - 11004*b/11 + 56304/11 = 0. What is b? -68, 6, 23 Factor 4*i**4 + 640*i**3 - 4*i**2 - 640*i. 4*i*(i - 1)*(i + 1)*(i + 160) What is v in 2*v**3 - 2118*v**2 + 77596*v = 0? 0, 38, 1021 Factor 498*b**2 - 4481*b/9 - 1/9. (b - 1)*(4482*b + 1)/9 What is a in -3*a**3/5 - 1419*a**2/5 - 44589*a - 11629713/5 = 0? -167, -139 Let l**5 - 2973*l**4/5 + 948*l**3 + 2372*l**2/5 = 0. Calculate l. -2/5, 0, 2, 593 Suppose -146*w**3/15 - 224*w**2/15 - 2*w/3 + 68/15 = 0. Calculate w. -1, 34/73 Suppose -3*z**2/8 + 1971*z/4 + 92253/8 = 0. Calculate z. -23, 1337 Factor 3*x**3/4 + 78420*x**2. 3*x**2*(x + 104560)/4 Factor 2*c**2/17 - 2498604*c/17 + 780377743602/17. 2*(c - 624651)**2/17 Factor s**4 + 16817*s**3 + 94482549*s**2 + 178524370843*s + 6648413988566. (s + 38)*(s + 5593)**3 Factor -5*z**2/3 + 11374370*z/3 - 6468814644845/3. -5*(z - 1137437)**2/3 Let -d**2/4 + 3394*d - 6787 = 0. What is d? 2, 13574 Factor -36992*f**3 + 110432*f**2 + 1630*f + 6. -2*(f - 3)*(136*f + 1)**2 Factor -v**3/4 - 2443*v**2/2 + v/4 + 2443/2. -(v - 1)*(v + 1)*(v + 4886)/4 Factor -1605*l**3 + 211865*l**2 - 6992040*l + 21780. -5*(l - 66)**2*(321*l - 1) Factor -5*t**2 + 3185*t + 75900. -5*(t - 660)*(t + 23) Find j, given that j**2/4 - 2711*j/4 - 2715 = 0. -4, 2715 Suppose 3*a**2/2 - 7404*a - 14811/2 = 0. What is a? -1, 4937 Suppose 6*i**5 + 428*i**4 - 1814*i**3 - 356*i**2 + 7160*i - 5424 = 0. What is i? -226/3, -2, 1, 2, 3 Find t such that -1311025*t**3/4 - 1178205*t**2/4 + 32364*t - 841 = 0. -1, 58/1145 Factor -2*z**2 + 93312*z + 373280. -2*(z - 46660)*(z + 4) Suppose -2*p**2/5 - 4342*p - 65040 = 0. What is p? -10840, -15 Factor 2*v**2 + 1500180*v + 281317504050. 2*(v + 375045)**2 Factor 96*h**2 + 32364*h - 85617. 3*(4*h + 1359)*(8*h - 21) What is p in -35*p**3 - 9355*p**2 + 282355*p - 1119525 = 0? -295, 33/7, 23 Factor 2*m**3 + 213742*m**2 + 5710598448*m - 5710812192. 2*(m - 1)*(m + 53436)**2 Factor 2*w**3 - 626*w**2 + 47580*w. 2*w*(w - 183)*(w - 130) Find z such that 2*z**5/3 - 340*z**4/3 - 2*z**3/3 + 340*z**2/3 = 0. -1, 0, 1, 170 Let v**3/3 + 4913*v**2/3 + 4910*v = 0. What is v? -4910, -3, 0 Suppose -3*g**2/2 + 354*g + 172095/2 = 0. Calculate g. -149, 385 Solve -v**3/6 + 43*v**2/3 + 92*v = 0. -6, 0, 92 Factor 5*l**4 - 13300*l**3 + 11801520*l**2 - 3501082160*l + 6955064560. 5*(l - 886)**3*(l - 2) Suppose 2*x**4/3 + 791*x**3/6 - 1795*x**2/6 + 500*x/3 = 0. What is x? -200, 0, 1, 5/4 Factor 4*n**5 - 84*n**4 - 484*n**3 - 908*n**2 - 720*n - 208. 4*(n - 26)*(n + 1)**3*(n + 2) Factor -4*x**3 - 6248*x**2 - 233092*x - 2200656. -4*(x + 19)**2*(x + 1524) Solve 3*o**4 - 10164*o**3 + 20301*o**2 + 50808*o - 60948 = 0 for o. -2, 1, 3, 3386 Suppose -y**5/3 - 164*y**4/3 - 1673*y**3 + 85848*y**2 + 3210480*y = 0. Calculate y. -84, -35, 0, 39 Suppose 54*w**4 + 150*w**3/7 - 200*w**2/7 = 0. What is w? -20/21, 0, 5/9 Determine h so that 4*h**2/7 + 55620*h/7 - 111256/7 = 0. -13907, 2 Determine a, given that 3*a**2 - 13314*a - 1236417 = 0. -91, 4529 Factor -3*z**2 - 214668*z - 3840195852. -3*(z + 35778)**2 Solve 17*u**3/9 + 110*u**2/9 + 59*u/9 - 62/3 = 0. -93/17, -2, 1 Factor 4*n**2 + 1368*n + 11988. 4*(n + 9)*(n + 333) Factor -c**3/5 - 13*c**2 + 5018*c/5 - 9768/5. -(c - 44)*(c - 2)*(c + 111)/5 Factor -3*q**2/8 + 7746*q. -3*q*(q - 20656)/8 Factor 4*j**2 + 1715608*j + 183956925604. 4*(j + 214451)**2 Factor 199*v**2/3 - 251*v/3 + 52/3. (v - 1)*(199*v - 52)/3 Solve -g**2/2 - 2987*g/2 + 2989 = 0. -2989, 2 Find h, given that h**4/3 - 41*h**3 + 40*h**2 + 244*h/3 = 0. -1, 0, 2, 122 Factor -4*h**2 - 85152*h - 851120. -4*(h + 10)*(h + 21278) What is c in 4*c**4 - 1352*c**3 + 13024*c**2 + 31488*c = 0? -2, 0, 12, 328 Factor 133*b**3 + 299*b**2 - 900*b + 468. (b - 1)*(7*b - 6)*(19*b + 78) Find f, given that -2*f**2/5 - 338772*f/5 - 14345808498/5 = 0. -84693 Let 5*a**5/4 + 149*a**4/4 + 635*a**3/4 - 3253*a**2/4 + 731*a - 115 = 0. What is a? -23, -10, 1/5, 1, 2 Factor 3*c**2 + 139146*c - 556632. 3*(c - 4)*(c + 46386) Factor r**2 - 3307*r + 78792. (r - 3283)*(r - 24) Factor -r**2/9 + 4253*r/9 + 1892. -(r - 4257)*(r + 4)/9 Factor 81*x**4/4 - 10566*x**3 - 23555*x**2 - 13100*x. x*(x - 524)*(9*x + 10)**2/4 Factor -m**2/5 + 7502*m - 70350005. -(m - 18755)**2/5 Find i such that -51*i**5/4 + 60795*i**4/2 - 14151*i**3/4 - 91167*i**2 - 50067*i + 7152 = 0. -1, 2/17, 2, 2384 Determine t so that 30*t**4 - 149*t**3 + 235*t**2 - 112*t - 4 = 0. -1/30, 1, 2 Let -2*m**5/21 - 2*m**4/7 + 1130*m**3/21 + 6638*m**2/21 + 1080*m/7 - 11000/21 = 0. What is m? -22, -5, -2, 1, 25 What is f in -3*f**5 + 45*f**4 + 354*f**3 - 6480*f**2 + 11232*f = 0? -12, 0, 2, 12, 13 Factor -5*p**3 - 210*p**2 + 29795*p. -5*p*(p - 59)*(p + 101) Find h such that -2*h**3/3 + 672*h**2 - 10018*h/3 - 4012 = 0. -1, 6, 1003 Find h, given that -2*h**2/5 + 1236*h/5 + 1750 = 0. -7, 625 Factor 36*s**2 - 651*s + 985. (3*s - 5)*(12*s - 197) Factor -4*c**3 - 36956*c**2 - 184696*c - 147744. -4*(c + 1)*(c + 4)*(c + 9234) Factor -s**3 - 2043*s**2 + s + 2043. -(s - 1)*(s + 1)*(s + 2043) Suppose -2*b**2/5 + 496*b/5 + 39936/5 = 0. Calculate b. -64, 312 Solve 7*y**5/4 - 5153*y**4/2 + 1881889*y**3/2 + 5442361*y**2 + 27878775*y/4 - 4915089/2 = 0 for y. -3, 2/7, 739 Find r, given that -2*r**5/5 + 6*r**4/5 + 266*r**3 - 2982*r**2 + 10912*r/5 + 27144/5 = 0. -29, -1, 2, 13, 18 Solve 3*i**3 - 909*i**2 + 18096*i - 93060 = 0 for i. 10, 11, 282 Factor 2*w**5/13 - 268*w**4/13 + 2048*w**3/13 - 4032*w**2/13. 2*w**2*(w - 126)*(w - 4)**2/13 Let 2*n**2/3 - 28296*n + 300248856 = 0. Calculate n. 21222 Solve 4*b**2/3 + 6548*b/3 + 76848 = 0. -1601, -36 Factor -4*m**3 + 1280*m**2 - 7572*m + 11304. -4*(m - 314)*(m - 3)**2 Let 2*m**2/11 - 159492*m/11 + 159490/11 = 0. What is m? 1, 79745 Factor 2*p**3/9 + 124984*p**2/3 + 1952625032*p. 2*p*(p + 93738)**2/9 Let -2*j**2/9 + 15980*j/9 = 0. Calculate j. 0, 7990 Solve 5*b**2/2 + 173*b - 3612 = 0. -86, 84/5 Factor k**2/6 + 9289*k/3 + 86285521/6. (k + 9289)**2/6 Let -2*t**5 - 84*t**4 + 176*t**3 + 35680*t**2 + 424800*t + 1496000 = 0. Calculate t. -34, -10, 22 Factor -4*b**3 + 114927*b**2 - 825499092*b - 206381956. -(b - 14366)**2*(4*b + 1) Solve -49*k**4 - 1617*k**3 - 5683*k**2 + 33*k + 116 = 0 for k. -29, -4, -1/7, 1/7 Factor 24*r**3/5 + 172*r**2/5 - 38*r + 49/5. (2*r - 1)**2*(6*r + 49)/5 Solve 36*a**4 - 7900*a**3 - 4436*a**2 + 7900*a + 4400 = 0. -1, -5/9, 1, 220 What is l in l**2/2 - 120864*l + 7304053248 = 0? 120864 Factor -46893*v**2 - 46895*v - 2. -(v + 1)*(46893*v + 2) Find w such that w**5 + 2756*w**4 - 83327*w**3 + 704438*w**2 - 1169924*w + 546056 = 0. -2786, 1, 14 Factor 10*g**3 - 3285*g**2 + 4895*g + 3270. 5*(g - 327)*(g - 2)*(2*g + 1) Let -9*c**4 - 386143*c**3 + 471964*c**2 - 85812*c = 0. What is c? -42906, 0, 2/9, 1 Factor -p**2 + 147*p - 146. -(p - 146)*(p - 1) Solve -2*p**4 + 106*p**3 - 1110*p**2 - 7946*p - 6728 = 0 for p. -4, -1, 29 Find t such that 2*t**2/3 + 74*t/3 + 680/3 = 0. -20, -17 Let -2*m**2 - 235236*m + 235238 = 0. Calculate m. -117619, 1 What is k in 4*k**4 - 6804*k**3 + 27172*k**2 - 33948*k + 13576 = 0? 1, 2, 1697 Factor 3*l**5 - 12*l**4 - 51*l**3 + 180*l**2. 3*l**2*(l - 5)*(l - 3)*(l + 4) Factor 7*a**4 - 4334*a**3 - 30055*a**2 + 4382*a. a*(a - 626)*(a + 7)*(7*a - 1) Solve 2*c**3/5 + 78*c**2/5 + 412*c/5 - 1152/5 = 0 for c. -32, -9, 2 Let o**4/2 - 19*o**3/2 + 36*o**2 - 10*o - 56 = 0. What is o? -1, 2, 4, 14 Find s such that -4*s**2 + 94592*s - 94588 = 0. 1, 23647 Let -242*g**4 + 24420*g**3 - 602586*g**2 - 679320*g - 187272 = 0. Calculate g. -6/11, 51 What is r in r**2/3 - 3224*r + 38672/3 = 0? 4, 9668 Solve -i**2/7 + 744*i/7 - 13068/7 = 0 for i. 18, 726 Factor -7*z**2/3 + 31*z - 308/3. -(z - 7)*(7*z - 44)/3 Determine h, given that 16*h**4/9 - 532*h**3/3 - 12224*h
{ "pile_set_name": "DM Mathematics" }
7/5 in descending order. 725, 450, 5, 7/5 Put 3, 6916, 20, -4, 1, -14, -5 in decreasing order. 6916, 20, 3, 1, -4, -5, -14 Sort 4, 27/5, 2/9, 0.059, 23 in descending order. 23, 27/5, 4, 2/9, 0.059 Put -55634, 0.966, -0.5 in increasing order. -55634, -0.5, 0.966 Sort 2, -1, -7, 1, 71, 161 in decreasing order. 161, 71, 2, 1, -1, -7 Put -26, 1, -1095, 2, -5, -2, 5 in descending order. 5, 2, 1, -2, -5, -26, -1095 Put 0.3, -2595, -0.3, 5, 7, -3 in increasing order. -2595, -3, -0.3, 0.3, 5, 7 Put -200, -1.1, 0.5, 3/944, 1 in increasing order. -200, -1.1, 3/944, 0.5, 1 Put 20, 6, -65, 302 in descending order. 302, 20, 6, -65 Put -2, 4, 77, 1185578 in descending order. 1185578, 77, 4, -2 Sort -5, -3, -145, 0, -12, 1, 3 in ascending order. -145, -12, -5, -3, 0, 1, 3 Put -132, 35/8, -1/4, 1/3, 4/679 in descending order. 35/8, 1/3, 4/679, -1/4, -132 Sort 1, -2, 1373257, 4 in ascending order. -2, 1, 4, 1373257 Sort 745, 1, 271, -1 in decreasing order. 745, 271, 1, -1 Sort 0.2, -0.5, -82, -43820 in decreasing order. 0.2, -0.5, -82, -43820 Put 1, 163, -10, 4/27, 1/3, 2 in descending order. 163, 2, 1, 1/3, 4/27, -10 Sort -2202600, 5, -0.2 in descending order. 5, -0.2, -2202600 Put -2, 93, -206, 233, 4 in descending order. 233, 93, 4, -2, -206 Put 2/17, 2, -1/6, -1152 in decreasing order. 2, 2/17, -1/6, -1152 Sort -3, 59172491, 7. -3, 7, 59172491 Sort 1, -11, -21, 19, -3103. -3103, -21, -11, 1, 19 Sort -17, 1, -19, -7, 9, -5. -19, -17, -7, -5, 1, 9 Sort 0.4, -69, 12, 5, -5/3, 2, 17.5 in decreasing order. 17.5, 12, 5, 2, 0.4, -5/3, -69 Put -22062, -3, 6, 4 in ascending order. -22062, -3, 4, 6 Put -195/23, -1/36, 0.22, 2 in decreasing order. 2, 0.22, -1/36, -195/23 Sort -3/2, -3, 3, 1/607, 13. -3, -3/2, 1/607, 3, 13 Put 3, 1302, -24, -5, 10, 6, 1 in decreasing order. 1302, 10, 6, 3, 1, -5, -24 Put -555, -1, 46, -10.7, -4 in descending order. 46, -1, -4, -10.7, -555 Put 3, 5759, -57, -4 in descending order. 5759, 3, -4, -57 Sort 353, 15261, 24 in decreasing order. 15261, 353, 24 Sort -5, -11, -6/5, 225, -3/5, 1 in decreasing order. 225, 1, -3/5, -6/5, -5, -11 Sort 28, 10176, -14 in ascending order. -14, 28, 10176 Sort 6, 1, -13234588 in ascending order. -13234588, 1, 6 Sort -203, -909, -0.5 in increasing order. -909, -203, -0.5 Put -1.0349, -3, 5, 7/11, -0.1 in ascending order. -3, -1.0349, -0.1, 7/11, 5 Put -119, 686, -53, 2 in decreasing order. 686, 2, -53, -119 Sort -5, 1/7, -3/4, 2.06, -1, -1/17. -5, -1, -3/4, -1/17, 1/7, 2.06 Sort 1, -6694, -21, -2, -1. -6694, -21, -2, -1, 1 Sort 0.4, 5566, 2/13, -1/13, 0.1 in increasing order. -1/13, 0.1, 2/13, 0.4, 5566 Sort 6, 10, -315, -4, -120, -2. -315, -120, -4, -2, 6, 10 Sort -9, 0, -10, -56, 3, 50 in descending order. 50, 3, 0, -9, -10, -56 Sort -2, 5, 6233, -3897, 1. -3897, -2, 1, 5, 6233 Put 2/5, 145017, -14 in decreasing order. 145017, 2/5, -14 Put -0.469, 6/11, 0, 0.2, 2, 5 in decreasing order. 5, 2, 6/11, 0.2, 0, -0.469 Sort 582/11, 2/49, -1/4, 0.1, 8 in ascending order. -1/4, 2/49, 0.1, 8, 582/11 Sort -247258, -2, -7, 0. -247258, -7, -2, 0 Put -48, -16, -998 in decreasing order. -16, -48, -998 Sort 2/31, -1/23, 46, 0.06, 1, 0.3 in descending order. 46, 1, 0.3, 2/31, 0.06, -1/23 Sort -5554, -25563, 5 in decreasing order. 5, -5554, -25563 Sort -66, -102, 1803 in increasing order. -102, -66, 1803 Sort -0.1, 0, 26638274 in decreasing order. 26638274, 0, -0.1 Put 6, -55, 1, -2, 5, -1 in descending order. 6, 5, 1, -1, -2, -55 Sort -76, 2, 10, 4, 8, -5, 7 in descending order. 10, 8, 7, 4, 2, -5, -76 Sort -2, -3/10, 0.1, 1/18, 2, 131 in descending order. 131, 2, 0.1, 1/18, -3/10, -2 Put -62.8, -2/9, -0.8, 8, -77 in decreasing order. 8, -2/9, -0.8, -62.8, -77 Sort 0.5, -117, -5692 in descending order. 0.5, -117, -5692 Sort 116, -0.048, -1, -2, 6/5 in decreasing order. 116, 6/5, -0.048, -1, -2 Put 149, -3061, 2, -6/7 in descending order. 149, 2, -6/7, -3061 Sort 6, 84, -5, -4, -18. -18, -5, -4, 6, 84 Sort -53, -30, -5, -10, 2, -1, -2 in ascending order. -53, -30, -10, -5, -2, -1, 2 Sort -3, -56, -9, 5, -75, 3 in descending order. 5, 3, -3, -9, -56, -75 Put -15, -30, -5, 5, -71, -2 in increasing order. -71, -30, -15, -5, -2, 5 Sort 48, 0, 1054, 3, 4, -4, -5 in descending order. 1054, 48, 4, 3, 0, -4, -5 Sort 624, 1/3, 3, 75, -6 in decreasing order. 624, 75, 3, 1/3, -6 Put -0.392, 1/1830, 0.3 in decreasing order. 0.3, 1/1830, -0.392 Put 77, -26, 1449 in ascending order. -26, 77, 1449 Sort -1338, -32, 4389 in descending order. 4389, -32, -1338 Put 2, 730, 12416, -1 in ascending order. -1, 2, 730, 12416 Sort -1, 4294, -5, -2, -45. -45, -5, -2, -1, 4294 Sort -42, 618, -104 in decreasing order. 618, -42, -104 Sort -683, 1, -5, 197, -4, -21, 0 in ascending order. -683, -21, -5, -4, 0, 1, 197 Sort 1448, -5, 3, 4, 40 in decreasing order. 1448, 40, 4, 3, -5 Sort -3, 3, 4, 5243, 9 in decreasing order. 5243, 9, 4, 3, -3 Sort -2, -18.4, 5, 3/10028 in decreasing order. 5, 3/10028, -2, -18.4 Sort 1, 32, -1, -12, -9, 0, -2. -12, -9, -2, -1, 0, 1, 32 Sort -26/5, 5.1, -4, -1/6, 0.4, 5 in decreasing order. 5.1, 5, 0.4, -1/6, -4, -26/5 Sort -0.3, -9, 4, -130, 0.1, -2, 0 in descending order. 4, 0.1, 0, -0.3, -2, -9, -130 Sort -3, 36, -8, -2, 1099, 3, 4. -8, -3, -2, 3, 4, 36, 1099 Sort 1, 470, 115036, -0.2 in descending order. 115036, 470, 1, -0.2 Sort 2/2121, -0.2, 0.07, -1536, -1 in descending order. 0.07, 2/2121, -0.2, -1, -1536 Put 11736, 12, 1 in ascending order. 1, 12, 11736 Sort -4, -1, 35, -497. -497, -4, -1, 35 Put 2, 20, -86, 37, -41 in increasing order. -86, -41, 2, 20, 37 Put -1, 14562, -8, 14 in decreasing order. 14562, 14, -1, -8 Sort -3, -15800, 1, 0, 10, -4 in increasing order. -15800, -4, -3, 0, 1, 10 Sort 429, 1/7, 0, -1243, -2 in decreasing order. 429, 1/7, 0, -2, -1243 Put 5, -10, 408, -3, -715, 3 in descending order. 408, 5, 3, -3, -10, -715 Put 210, 2/9, 1, -0.289 in increasing order. -0.289, 2/9, 1, 210 Sort -1, 4, 95, 2/9, -5, 179 in increasing order. -5, -1, 2/9, 4, 95, 179 Sort -3, -4, 0.2, -775, -0.4, 1.6 in decreasing order. 1.6, 0.2, -0.4, -3, -4, -775 Sort -7, 5, 12750, -5, -9, 1 in ascending order. -9, -7, -5, 1, 5, 12750 Put -1, 0.273, -0.5, -491 in descending order. 0.273, -0.5, -1, -491 Put 0, -376555, 5/4 in ascending order. -376555, 0, 5/4 Sort -6, 11, -80, 8, -2, 2 in decreasing order. 11, 8, 2, -2, -6, -80 Sort -133.6, -1/7, -0.02, -20.1. -133.6, -20.1, -1/7, -0.02 Put -141, 3, 6445, -9 in descending order. 6445, 3, -9, -141 Sort 11006, 3, -386, -3. -386, -3, 3, 11006 Sort -1, -16, 181, 167, -99. -99, -16, -1, 167, 181 Put 11, -2, 4, 3, -14, 15, 6 in increasing order. -14, -2, 3, 4, 6, 11, 15 Sort 13.8, 5, -39463 in descending order. 13.8, 5, -39463 Sort 2, 0.26, 292/43, 5, -0.5 in decreasing order. 292/43, 5, 2, 0.26, -0.5 Put 152, 46, 0 in ascending order. 0, 46, 152 Put 17, 6, 3, -8, -26, 155, -3 in increasing order. -26, -8, -3, 3, 6, 17, 155 Sort 5, 4, 215, -1, 34, -15, 1 in ascending order. -15, -1, 1, 4, 5, 34, 215 Sort 3/2, 3/4, 0.1, 532, -559 in ascending order. -559, 0.1, 3/4, 3/2, 532 Put -5, 0.67, 6479, -0.1 in decreasing order. 6479, 0.67, -0.1, -5 Sort -3, -3022, -9, 5, 2, 0, -8. -3022, -9, -8, -3, 0, 2, 5 Sort -4, -2, -115, 65, 1/4 in descending order. 65, 1/4, -2, -4, -115 Put 4, -2910, -355, 0, 5, 3 in descending order. 5, 4, 3, 0, -355, -2910 Sort -170, 625015, 2. -170, 2, 625015 Put 6, 6444, 2 in increasing order. 2, 6, 6444 Sort 5, -5, 296, -34, -10. -34, -10, -5, 5, 296 Sort -5, -446, 29, 4, -4, -12, 5 in descending order. 29, 5, 4, -4, -5, -12, -446 Put -14, 2/71, -19, 6, 1/3 in decreasing order. 6, 1/3, 2/71, -14, -19 Sort 1/4, 6, 22/13, 0, 4949 in decreasing order. 4949, 6, 22/13, 1/4, 0 Sort -1.1, -25, 1, -48, -11/5 in ascending order. -48, -25, -11/5, -1.1, 1 Sort -2863, -34, -64 in descending order. -34, -64, -2863 Sort -30, 165, 2, -12, -2, 3 in decreasing order. 165, 3, 2, -2, -12, -30 Sort 1/3, 3, 3/4, -2254/729, -3 in descending order. 3, 3/4, 1/3, -3, -2254/729 Sort 5, -17, -4, 4, -9, 21 in descending order. 21, 5, 4, -4, -9, -17 Put -117, 5, 3166, 65 in decreasing order. 3166, 65, 5, -117 Put 3/5, -0.09, 4/3, -139871 in descending order. 4/3, 3/5, -0.09, -139871 Put 0, -1077798, -10 in ascending order. -1077798, -10, 0 Sort 2, 127, -8, 62, -2/9 in descending order.
{ "pile_set_name": "DM Mathematics" }
. Let l(b) be the first derivative of 0*b + x - 1/3*b**3 + 0*b**2. Let i(z) = 3*z. Calculate l(i(t)). -9*t**2 Let s(f) = 207*f**2. Let o(p) = -3*p - 340. Calculate o(s(i)). -621*i**2 - 340 Let f(k) = 17*k. Let c be 0*(3 + (7 - 9)). Let d(z) be the second derivative of c - 1/12*z**4 + 0*z**2 + 3*z + 0*z**3. Determine f(d(t)). -17*t**2 Let n(r) = 2*r**2. Let w(f) = 40*f. Let j(i) = 20*i. Let m = 8 + -1. Let u(p) = m*j(p) - 3*w(p). Give u(n(h)). 40*h**2 Let a(l) = -2*l. Let j be 43/7 + (-16)/112. Let p(q) = -2*q. Let r(w) = j*p(w) - 5*a(w). Let z(k) = 6*k. Calculate r(z(m)). -12*m Let i(l) = -3*l**2 - 252. Let s(j) = -2*j - 36. Calculate i(s(t)). -12*t**2 - 432*t - 4140 Let q(n) = -12*n - 14. Let p(t) = 8*t + 10. Let j(v) = -7*p(v) - 5*q(v). Let z(d) = -78*d**2. Give z(j(u)). -1248*u**2 Suppose 4*w = 2*w + 20. Suppose 25 = 5*n, -4*h + 17 = 5*n - 24. Let u(l) = -3*l - h*l - l + w*l. Let i(q) = 8*q. Determine i(u(y)). 16*y Let r(n) = -2*n. Let x(c) = 230*c**2 + 14*c - 46*c + 16*c - 63*c**2 + 15*c. Calculate x(r(v)). 668*v**2 + 2*v Let d(n) = 0 + 36*n**2 - 74*n**2 + 41*n**2 + 0. Let g(m) = -28*m. What is g(d(r))? -84*r**2 Let c(j) = j. Let g(q) = -q + 2. Let l(r) = -2*r + 3. Let z(k) = 5*g(k) - 3*l(k). Let f(i) = -10*i**2 - 10*i - 10. Let u(s) = -f(s) - 10*z(s). Give u(c(x)). 10*x**2 Suppose 13*m = 12*m + 26. Let v = -23 + m. Let h(o) = o**2 + o**2 + v - 3. Let u(b) = 10*b. Calculate h(u(r)). 200*r**2 Let z(k) = -k**2. Let v(p) = -3*p**2. Let d(l) = 3*v(l) - 5*z(l). Let m = 6 - -1. Let y(b) = -m*b - 7*b + 18*b - 5*b. Calculate d(y(x)). -4*x**2 Let j(a) = 2*a. Let w(z) = 13539*z**2. Calculate j(w(l)). 27078*l**2 Let h(n) = -31857*n - 3*n**2 + 31857*n. Let s(g) = 92*g. Determine h(s(q)). -25392*q**2 Let t(k) = 5*k**2. Let q(l) = 159*l + 3. Give t(q(h)). 126405*h**2 + 4770*h + 45 Let a(i) be the second derivative of -1/3*i**4 + 0*i**2 + 0*i**3 - 9*i + 0. Let h(y) be the first derivative of y**3/3 - 11. Determine h(a(u)). 16*u**4 Let g(i) = 3*i**2. Let y(c) be the third derivative of -c**7/5040 - 7*c**5/30 - 20*c**2. Let v(d) be the third derivative of y(d). What is g(v(x))? 3*x**2 Let c(x) = -26*x**2. Let l(k) = -17*k**2 + 8*k - 2. What is l(c(z))? -11492*z**4 - 208*z**2 - 2 Let b(u) = u. Let r(y) be the third derivative of -17*y**6/360 + 25*y**3/6 - 19*y**2. Let s(i) be the first derivative of r(i). Give b(s(t)). -17*t**2 Let k(w) be the first derivative of -3*w**2 - 73. Let v(u) = -5*u**2. What is k(v(b))? 30*b**2 Let w(n) = 74*n. Let y(g) = -1706*g**2. Calculate y(w(z)). -9342056*z**2 Let h(l) = -18*l - 7. Let j(v) be the third derivative of v**5/60 - 3*v**2 - 36*v. Calculate h(j(u)). -18*u**2 - 7 Let m(d) = 205*d**2. Let r(c) = -3*c - 35. Let v(b) = 5*b + 56. Let q(k) = -8*r(k) - 5*v(k). What is m(q(x))? 205*x**2 Let d(w) be the second derivative of -w**3/6 + 225*w. Let a(c) = 801*c**2. Determine a(d(b)). 801*b**2 Let c(v) = 2*v + 4. Let n(l) = 12*l**2 - 44*l**2 + 13*l**2 + 17*l**2. Give c(n(i)). -4*i**2 + 4 Let y(l) be the first derivative of -2/3*l**3 + 0*l + 0*l**2 + 32. Let g(f) = 2*f + 2*f**2 - 2*f. What is g(y(u))? 8*u**4 Let d(t) be the second derivative of -t**3/6 + 3*t**2 + 57*t. Let c(h) = -2*h**2. Give c(d(y)). -2*y**2 + 24*y - 72 Let y(v) be the first derivative of -11*v**3/6 - 13*v - 7. Let u(b) be the first derivative of y(b). Let r(c) = 2*c. What is r(u(w))? -22*w Let p(a) be the second derivative of 18*a**3 - a + 26. Let u(d) = 4*d. What is p(u(r))? 432*r Let l(q) = 20212*q. Let c(i) = -4*i. What is c(l(b))? -80848*b Let i(c) = 66*c - 36*c - 48*c. Let k(n) = -4*n. Give k(i(y)). 72*y Let k(n) = -3*n**2. Suppose -4*x - 8 = -16. Let r(b) = 1665*b - 3*b**x - 1665*b. Calculate r(k(a)). -27*a**4 Let n(i) = 3*i. Let c(t) = -10*t - 12. Let k(q) = q + 1. Let u(d) = c(d) - 2*k(d). Let h(x) = -x - 1. Let z(v) = -28*h(v) + 2*u(v). What is n(z(g))? 12*g Let d(l) = 3*l. Let q(f) = 35*f. Let s(g) = g**2 - 34*g. Let m(a) = 3*q(a) + 2*s(a). What is m(d(k))? 18*k**2 + 111*k Let n(o) = -2*o**2. Let s(g) be the first derivative of 7/2*g**2 - 8 - g. Give s(n(v)). -14*v**2 - 1 Let o(t) = -t + 3. Let f be (-12)/(12/(-3)) - 1. Let j(b) = 194 - 194 + b**f. Determine j(o(d)). d**2 - 6*d + 9 Let u(l) = 55214*l. Let p(g) = 2*g. What is p(u(o))? 110428*o Let v(z) be the second derivative of -z**5/30 + 13*z**2 - 22*z. Let k(p) be the first derivative of v(p). Let r(b) = -26*b. Give k(r(s)). -1352*s**2 Let u(o) = 1476*o**2 + 2*o + 2. Let k(f) = 328*f. Give k(u(y)). 484128*y**2 + 656*y + 656 Let t(q) = 8*q. Let c(x) = 3*x + 554. Give t(c(y)). 24*y + 4432 Let c(a) = 3*a**2 + a - 7. Let o be c(3). Let z(b) = -23 + b + o. Let d(n) = 6*n**2 + 3 - 3. Give d(z(h)). 6*h**2 Let p(n) be the first derivative of 5*n**2/2 - 3. Let f(i) = -4*i**2. Give p(f(k)). -20*k**2 Let r(k) = -25*k**2 + 5*k. Let u(y) = -1764*y**2. What is r(u(j))? -77792400*j**4 - 8820*j**2 Let b(r) be the second derivative of r**6/36 + 7*r**4/4 - 6*r - 2. Let h(d) be the third derivative of b(d). Let s(o) = -4*o. Calculate s(h(a)). -80*a Let f(m) = -2*m**2. Let s(h) = -319*h**2 + 2 - 309*h**2 + 638*h**2 + 1. Calculate f(s(q)). -200*q**4 - 120*q**2 - 18 Let y(u) = -1. Let s(j) = 2*j**2 + 10. Let m(o) = s(o) + 10*y(o). Let n(v) be the third derivative of 0 + 0*v + 21*v**2 + 0*v**3 + 1/24*v**4. What is m(n(q))? 2*q**2 Let l(o) = -o - 47. Let h(g) = -g**2 + 379*g. Calculate h(l(m)). -m**2 - 473*m - 20022 Let h(l) be the third derivative of -l**4/8 - 10*l**2. Let t(z) be the first derivative of 10*z**3/3 - 65. Determine t(h(q)). 90*q**2 Let p(m) = 3*m. Let b be 2/(-6) + 21/9. Let f(q) = 3*q - b*q + q. Give f(p(z)). 6*z Let f(t) be the third derivative of t**6/180 + 2*t**3 - 11*t**2. Let d(g) be the first derivative of f(g). Let x(i) = -3*i. What is d(x(p))? 18*p**2 Let x(k) = 5*k. Let j(i) = -9*i. Let w(l) = 6*j(l) + 10*x(l). Let z(s) = 16*s + 96. Let y(b) = -b - 8. Let d(f) = -12*y(f) - z(f). Calculate w(d(p)). 16*p Let z(p) = 319*p**2. Let d(i) = 27*i**2 - 17. Determine d(z(w)). 2747547*w**4 - 17 Let d(s) = 261*s**2 + 12. Let y(m) = 521*m**2 + 20. Let z(c) = 5*d(c) - 3*y(c). Let f(p) = 3*p**2. Give z(f(a)). -2322*a**4 Let m(h) = h**2. Let q(c) = -c. Let j(u) = -6*u. Let l(w) = j(w) + 5*q(w). Determine l(m(v)). -11*v**2 Let f(y) = y**2 + y - y. Let n(z) = -5 + 19 + 17*z - 2*z - 14. Determine n(f(v)). 15*v**2 Let p(z) = 162*z - 82*z - 81*z. Let s(v) be the second derivative of -v**4/8 - v**2/2 + v. Let f(o) be the first derivative of s(o). Give p(f(g)). 3*g Let m(w) = w**2. Let i(d) be the third derivative of 7*d**4/24 - 36*d**2. Calculate i(m(l)). 7*l**2 Let a(c) = 0*c + 3*c - 4*c. Let u(y) be the third derivative of -y**4/24 - 369*y**2. Give a(u(r)). r Let u(w) = 14*w - 12. Let n(y) = -13*y + 10. Let z(q) = 6*n(q) + 5*u(q). Let t(f) = -6*f. What is z(t(g))? 48*g Let n(o) = o**2. Let x(y) = -2*y - 3655. Determine x(n(i)). -2*i**2 - 3655 Let l(u) be the third derivative of -u**5/30 + 2*u**2. Let r(y) = -8*y + 6. Let q(s) = 15*s - 10. Let z(v) = 3*q(v) + 5*r(v). What is z(l(n))? -10*n**2 Let u(c) = -11*c**2 + 2. Let z(l) = 80*l**2 + 1. Calculate u(z(v)). -70400*v**4 - 1760*v**2 - 9 Let l(a) be the second derivative of -17*a + 0*a**2 - 1/6*a**4 + 0 + 0*a**3. Let w(f) = f**2. Calculate w(l(i)). 4*i**4 Let b(g) = 31*g**2 + 18. Let i(x) = 15*x**2 + 8. Let z(d) = -4*b(d) + 9*i(d). Let p(m) be the first derivative of m**3/3 - 6. Give z(p(h)). 11*h**4 Let q(w) = -3*w + 3*w - 8*w**2. Suppose -5*b + 68 = -2*c, -2 = c + 2. Let f(m) = -12*m + 30*m - b*m - 8*m. Give q(f(k)). -32*k**2 Let s(i) = -4*i + 4*i + 0*i**2 - 5*i**2. Let q(h) be the third derivative of -h**4/6 + 14*h**2. Give q(s(u)). 20*u**2 Let c(y) = -8*y**2. Let j(g) = g**2 + 33*g - 17*g - 17*g - 8. Let w be j(4). Let z(t) = 0*t + 2*t - w*t. Calculate c(z(x)). -32*x**2 Let t(d) = -2*d**2 - 4*d**2 + 4*d**2. Let v(c) be the third derivative of 0*c + 0 - 5*c**2 + 0*c**3 + 11/24*c**4. Determine v(t(b)). -22*b**2 Let w(g) = -4*g. Let l = -19 - -21. Let m(b) = 62 - 62 + 3*b**2 + 2*b**l. Give m(w(x)). 80*x**2 Let k(j) = -4*j. Let o(l) be the third derivative of l**4/24 + 16*l**3 - 17*l**2 + 9. Give k(o(a)). -4*a - 384 Let r(t) be the first derivative of -9*t**2/2 + 199. Let o(f) = -33*f + 2. Give r(o(m)). 297*m - 18 Let t(u) = -17*u**2 + 46*u**2 - 24*u**2 - 15*u*
{ "pile_set_name": "DM Mathematics" }